instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the tens digit of 10342?\n | 4\n | ibivibiv/math_instruct | |
Sort 0, -3, -4, -2 in increasing order.\n | -4, -3, -2, 0\n | ibivibiv/math_instruct | |
Let y = -5 + 7. Suppose 11*l = -102 - 954. Let f = 118 + l. Solve 3*h = -5*c + 20, -2*h - 2*h - y*c = -f for h.\n | 5\n | ibivibiv/math_instruct | |
Let g(q) = 3*q**2 - q - 3. Let j(l) be the first derivative of 12*l**3 - 20*l**3 + l**3 - 2*l + 8*l**3 - 15. Determine 2*g(f) - 3*j(f).\n | -3*f**2 - 2*f\n | ibivibiv/math_instruct | |
Suppose 2*n + 13 = -5*s, 2*n + 4*s = n - 11. Solve -5*x - 20 = 3*t, -t + x - n = -3*x for t.\n | -5\n | ibivibiv/math_instruct | |
John buys game loot boxes for $5 each. The average value of items inside is $3.5. He spends $40 on loot boxes. What is the average amount he lost? | John spends $40 on loot boxes, and each loot box costs $5, so he buys 40/5 = 8 loot boxes.
The average value of items inside each loot box is $3.5, so for 8 loot boxes, the total average value is 8 * 3.5 = $<<8*3.5=28>>28.
John spent $40 on loot boxes, but the average value of the items inside is $28, so he lost 40 - 2... | ibivibiv/math_instruct | |
Is 21012102179 prime?\n | True\n | ibivibiv/math_instruct | |
Let x(q) be the first derivative of -q**2 + 11. Let w(h) = 3*h + 84. Let m(l) = -2*l - 74. Let t(o) = 9*m(o) + 8*w(o). Give x(t(i)).\n | -12*i - 12\n | ibivibiv/math_instruct | |
1123950 divided by 3\n | 374650\n | ibivibiv/math_instruct | |
Calculate prob of sequence fy when two letters picked without replacement from kkhfytkkfff.\n | 2/55\n | ibivibiv/math_instruct | |
Let h = -80 - -85. Suppose u = -2*u + 2*x + h, 5*u + 2*x = -13. Calculate the lowest common multiple of 62 and (u + 1 + 12)*(-21)/(-14).\n | 558\n | ibivibiv/math_instruct | |
Let j(k) be the first derivative of -k**3/3 + 4*k**2 - 3*k + 2. Let m be j(7). Solve 2*d - i - 6 - m = 0, i - 20 = -4*d for d.\n | 5\n | ibivibiv/math_instruct | |
(-3)/(-26)*(-15)/60*(-128)/(-12)\n | -4/13\n | ibivibiv/math_instruct | |
What is the result of the following expression?
23.217 - -76.027 | 99.2440 | ibivibiv/math_instruct | |
Does 6 divide 1115848772?\n | False\n | ibivibiv/math_instruct | |
Let l = 85 - 81. Suppose l*a - 146 = -2*f, f + 2*a = 5*a + 73. Suppose -4*u = -f + 289. Are u and -54 unequal?\n | False\n | ibivibiv/math_instruct | |
Let k(p) be the first derivative of -p**4/4 + 2*p + 1249. Let h(t) = -3*t**3 + t**3 - 5*t**3 + 5*t**3 + 7. Give -2*h(j) + 7*k(j).\n | -3*j**3\n | ibivibiv/math_instruct | |
What is 1237 to the power of 1/6, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
How many meters are there in one twentieth of a kilometer?\n | 50\n | ibivibiv/math_instruct | |
Is 2788 a multiple of 104?\n | False\n | ibivibiv/math_instruct | |
Expand (-9*z + 9*z + 2*z)*(2*z**4 - 2*z - z**2 - z + 0*z).\n | 4*z**5 - 2*z**3 - 6*z**2\n | ibivibiv/math_instruct | |
Let j = -37.8 - -38. Suppose 0 = -4*h - s + 5, -2*s - 24 = -5*h - 21. Which is the nearest to j? (a) -3 (b) -0.3 (c) h\n | b\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 2250 and 25875.\n | 51750\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 7473 and 2585.\n | 411015\n | ibivibiv/math_instruct | |
848a0b (base 12) to base 2\n | 111111101111110101011\n | ibivibiv/math_instruct | |
Let w(j) = 129*j**2 + 1518*j + 1264. Calculate w(-11).\n | 175\n | ibivibiv/math_instruct | |
Let f(d) = -d. Let r(t) = 3*t. Let q(n) = n. Let u(h) = -12*q(h) + 3*r(h). Determine f(u(c)).\n | 3*c\n | ibivibiv/math_instruct | |
In base 5, what is -22 - -3142?\n | 3120\n | ibivibiv/math_instruct | |
Calculate the remainder when 170350 is divided by 5479.\n | 501\n | ibivibiv/math_instruct | |
Let l = 536 + -537. Sort -20, l, -5 in descending order.\n | l, -5, -20\n | ibivibiv/math_instruct | |
Let a be (0 + (-2)/6)/((-41)/207993). Calculate the greatest common divisor of a and 19.\n | 19\n | ibivibiv/math_instruct | |
Let q(p) be the second derivative of -73*p**6/360 - 41*p**3/6 + 73*p - 1. Let j(w) be the second derivative of q(w). Let h(z) = -3*z. Calculate h(j(s)).\n | 219*s**2\n | ibivibiv/math_instruct | |
List the prime factors of ((-10)/15)/((-20)/9 - -2).\n | 3\n | ibivibiv/math_instruct | |
Does 6 divide 50732430?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 1682416.\n | 2, 71, 1481\n | ibivibiv/math_instruct | |
Suppose -4*b + 0*b = 0. Suppose 0*w + 3*w - 960 = b. What is w rounded to the nearest 100?\n | 300\n | ibivibiv/math_instruct | |
Simplify 0 + 1*6*(((1 + sqrt(605) - sqrt(605))*5*2)**2 + (2*(sqrt(605) + 0 - sqrt(605))*-3)**2).\n | 600\n | ibivibiv/math_instruct | |
Is 7 a factor of 95518?\n | False\n | ibivibiv/math_instruct | |
Expand (5 - 2 - 2)*(0*p + 3*p - p) + (-5 + 1 + 1)*(0 - p + 0 - 5*p + p + 3*p + (p - p + p)*(-4 + 4 - 1) - 4 + 2*p + 4 + (-p - 2*p + 2*p)*(-56 + 27 + 45)).\n | 53*p\n | ibivibiv/math_instruct | |
What is the units digit of 796?\n | 6\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {m: 2, a: 2, d: 5, v: 4}. What is prob of sequence am?\n | 1/39\n | ibivibiv/math_instruct | |
What is 277042572 to the power of 1/4, to the nearest integer?\n | 129\n | ibivibiv/math_instruct | |
Suppose 8 = -2*t + 5*y, -2*t - 4*y - 8 = y. Let h(l) = -238*l**2 + l**3 + 2*l + 244*l**2 + 4*l. Calculate the smallest common multiple of 7 and h(t).\n | 56\n | ibivibiv/math_instruct | |
Calculate 3*-32*65*(-18)/(-1755).\n | -64\n | ibivibiv/math_instruct | |
Expand (-c**2 - 11*c**2 + 2*c**2)*(102*c - 7*c**2 - 1 - 102*c).\n | 70*c**4 + 10*c**2\n | ibivibiv/math_instruct | |
Simplify ((z*z/(z/(z*z*z**(1/22)*z))*z*z**7)/(z**8*z**2))**50 assuming z is positive.\n | z**(1125/11)\n | ibivibiv/math_instruct | |
Let j = -72 - -84. What is the remainder when 22 is divided by j?\n | 10\n | ibivibiv/math_instruct | |
Convert -2872 (base 16) to base 15.\n | -3104\n | ibivibiv/math_instruct | |
Collect the terms in 352 + 367 - 58 + 188 + 2*u.\n | 2*u + 849\n | ibivibiv/math_instruct | |
b"What is the yth term of 79, 156, 241, 340, 459, 604?\n" | y**3 - 2*y**2 + 76*y + 4\n | ibivibiv/math_instruct | |
Simplify (q*((q/(q/(q*(q/(q**30/q))/q)))/q*q*q)/q)**(3/19)*(((q/(q/(q/(q/(q**(-21)*q)))))/q)/q)**(4/21) assuming q is positive.\n | q**(-3373/399)\n | ibivibiv/math_instruct | |
Convert -341234 (base 5) to base 15.\n | -3899\n | ibivibiv/math_instruct | |
Let g = -8840 + 8844. Which is the closest to 3? (a) g (b) -22 (c) -0.17\n | a\n | ibivibiv/math_instruct | |
Given $\tan \theta = 5,$ find
\[\frac{1 - \cos \theta}{\sin \theta} - \frac{\sin \theta}{1 + \cos \theta}.\] | First, we can write the expression as
\[\frac{1 - \cos \theta}{\sin \theta} - \frac{\sin \theta}{1 + \cos \theta} = \frac{(1 - \cos \theta)(1 + \cos \theta) - \sin^2 \theta}{\sin \theta (1 + \cos \theta)}.\]
Using the Pythagorean identity $\sin^2 \theta + \cos^2 \theta = 1,$ we can simplify the numerator as
\[(1 - \cos... | ibivibiv/math_instruct | |
What is the next term in -1057, -2114, -3169, -4222, -5273, -6322, -7369?\n | -8414\n | ibivibiv/math_instruct | |
Expand (0*f + 3*f - 4*f)*(2*f + 0 + 0) + f**2 - 2*f**2 + 0*f**2 - 51*f**2 - 71*f**2 - 67*f**2.\n | -192*f**2\n | ibivibiv/math_instruct | |
Suppose 3*o + 6 = 3*h, 15 = -0*o + 3*o + 4*h. Let t be (6/(-25))/(o/540). Let m = -129 - t. Which is the third smallest value? (a) -3 (b) m (c) -1\n | b\n | ibivibiv/math_instruct | |
Calculate -6 - (-16 - (-2 - 6)).\n | 2\n | ibivibiv/math_instruct | |
Let n be (-2)/(15/25*4/(-6)). Suppose 2*o = 6*o - n*o. Put 4, -1, o, -3 in descending order.\n | 4, o, -1, -3\n | ibivibiv/math_instruct | |
Suppose -53*a - 1882 = -16033. What is the remainder when a is divided by 71?\n | 54\n | ibivibiv/math_instruct | |
Calculate 3/20*((-1250)/(-54))/(-25).\n | -5/36\n | ibivibiv/math_instruct | |
Is 60657 composite?\n | True\n | ibivibiv/math_instruct | |
Let h = -130 - 90. Let t = h - -264. Is t a multiple of 35?\n | False\n | ibivibiv/math_instruct | |
What is the value of 5 + (-9 - (5 - 7)) + -7 - -6?\n | -3\n | ibivibiv/math_instruct | |
In base 10, what is 10054270 + 40?\n | 10054310\n | ibivibiv/math_instruct | |
Let a(s) = -s**2 - 4*s - 4. Let k be a(-6). Let t = 47 + k. Calculate the remainder when t is divided by 18.\n | 13\n | ibivibiv/math_instruct | |
Determine g so that -27*g**3/7 + 17055*g**2/7 - 324075*g - 19868625 = 0.\n | -45, 1015/3\n | ibivibiv/math_instruct | |
Evaluate 36 - 21 - -30 - 112.\n | -67\n | ibivibiv/math_instruct | |
What is the highest common factor of 1088 and 25936?\n | 16\n | ibivibiv/math_instruct | |
Simplify ((x/((x**(-4)/x)/x))/x)**(-3/4)*((x/(x**5/x)*x)/x)/x*x/x**13 assuming x is positive.\n | x**(-41/2)\n | ibivibiv/math_instruct | |
List the prime factors of 61520.\n | 2, 5, 769\n | ibivibiv/math_instruct | |
Suppose 0 = -0*x + 4*x. Suppose 2*p + 2 = 0, x*k - 2 = -k - 4*p. What is the units digit of k?\n | 6\n | ibivibiv/math_instruct | |
Suppose 4*k - 2*l + 4 = 2*k, 26 = 2*k + 4*l. Suppose -30 - 18 = k*g. Let t be (4/(-10))/(g/10). Is t at least as big as -1/4?\n | True\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 955764070 and 10.\n | 10\n | ibivibiv/math_instruct | |
Convert 11222100120 (base 3) to base 11.\n | 67650\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 9081325 and 160.\n | 5\n | ibivibiv/math_instruct | |
What is -4135 (base 6) in base 3?\n | -1021012\n | ibivibiv/math_instruct | |
Put together -26477991 and -12529.\n | -26490520\n | ibivibiv/math_instruct | |
In base 8, what is -62 - 23136134?\n | -23136216\n | ibivibiv/math_instruct | |
Let j = -3 - -5. Suppose j*o - 5 = 25. Suppose o = 6*a - 3*a. Solve -a*c + 0*c + 25 = 0 for c.\n | 5\n | ibivibiv/math_instruct | |
What is the product of 0.0579 and -3.2?\n | -0.18528\n | ibivibiv/math_instruct | |
Is 82931 prime?\n | False\n | ibivibiv/math_instruct | |
Simplify ((o*o**(-1/3)*o*o*o)**1/(o**(-3/2)/(o**(-7)*o*o)))/((o*o/(o*o*(o**0*o)/o*o))**(4/7)*o**(-4/3)*o**(-2/9)) assuming o is positive.\n | o**(289/126)\n | ibivibiv/math_instruct | |
What is 3d3be (base 15) in base 13?\n | 6b645\n | ibivibiv/math_instruct | |
Let p(h) = 28*h**2 - h - 2. Let k be p(-2). Let n be 1*k/4 + 2. Calculate the greatest common factor of 240 and n.\n | 30\n | ibivibiv/math_instruct | |
Suppose 2*b = -450 + 906 - 442. Solve b*q - 39 = -18 for q.\n | 3\n | ibivibiv/math_instruct | |
Let y(g) = 28*g + 4. Let o be y(5). Calculate the highest common divisor of o and 3096.\n | 72\n | ibivibiv/math_instruct | |
Let l(z) = -z**2. Let h(n) = 3*n**2 + 16*n. What is l(h(i))?\n | -9*i**4 - 96*i**3 - 256*i**2\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 2870 and 18040.\n | 410\n | ibivibiv/math_instruct | |
Convert -2001122112210 (base 3) to base 6.\n | -35251033\n | ibivibiv/math_instruct | |
Suppose -158*k + 161*k - 1350 = 0. What is the units digit of k?\n | 0\n | ibivibiv/math_instruct | |
b"What is the pth term of -25, -99, -223, -397, -621, -895, -1219?\n" | -25*p**2 + p - 1\n | ibivibiv/math_instruct | |
Let g(f) = 0*f - 7*f + 3*f + 2*f. Let k(t) = -t - 1. Let w(n) be the first derivative of -n**3/3 - 5*n**2/2 - 5*n - 1. Let r(i) = -5*k(i) + w(i). Give r(g(a)).\n | -4*a**2\n | ibivibiv/math_instruct | |
What is the fourth root of 516920239 to the nearest integer?\n | 151\n | ibivibiv/math_instruct | |
Let y = 7 - 12. Let t = -10 - y. Let g = t + 0. Which is the third biggest value? (a) -0.1 (b) 1 (c) g\n | c\n | ibivibiv/math_instruct | |
Put -0.43, -0.1, -1/22, 2/53, -2/3 in increasing order.\n | -2/3, -0.43, -0.1, -1/22, 2/53\n | ibivibiv/math_instruct | |
Solve -9 + 0 = 3*n for n.\n | -3\n | ibivibiv/math_instruct | |
Collect the terms in 497*h - 50*h**2 - 253*h - 248*h.\n | -50*h**2 - 4*h\n | ibivibiv/math_instruct | |
Let j(i) = -15*i**2 - 2*i - 1. Let d(g) = g + 14. Let f be d(-15). Let z be j(f). Let o = z - -18. Solve k = -k + o for k.\n | 2\n | ibivibiv/math_instruct | |
Let q = -13071047 - -13077020.087. Let d = q - 5978. What is d rounded to the nearest integer?\n | -5\n | ibivibiv/math_instruct |
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