instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 203551186 to the power of 1/2, to the nearest integer?\n | 14267\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 3703 and 1478729.\n | 7\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, u: 8, j: 4, r: 2}.\n | 3/136\n | ibivibiv/math_instruct | |
Let y = -5 + -2. Let v(c) = c**3 + 6*c**2 - 7*c. Let t be v(y). Solve -2*k + 15 = -4*b - 5*k, t = -4*b - k - 5 for b.\n | 0\n | ibivibiv/math_instruct | |
If Jack weighs 60 pounds and his cousin Anna weighs 40 pounds, how many 4-pound rocks does Jack need to hold in order to equalize their weights? | Jack weighs 60 pounds and Anna weighs 40 pounds.
To equalize their weights, Jack needs to add the same amount of weight as the difference between their weights, which is 60 - 40 = 20 pounds.
Since each rock weighs 4 pounds, Jack needs to add 20 / 4 = 5 rocks.
Therefore, Jack needs to hold 5 rocks in order to equalize t... | ibivibiv/math_instruct | |
Let u(s) = s + 11. Let m be u(-9). Suppose -i + 2*i = 2. Solve i = m*b + 5*w, 0 = -4*b + b + 2*w + 3 for b.\n | 1\n | ibivibiv/math_instruct | |
Suppose -4*j = -4 - 4. Suppose -3 = -4*h + 3*h. Let m = h - -5. Solve -4*f + 4*g + m = 0, -j*f + g + 2 = -1 for f.\n | 1\n | ibivibiv/math_instruct | |
In base 6, what is -141432 - 2?\n | -141434\n | ibivibiv/math_instruct | |
Is 1034222201 prime?\n | False\n | ibivibiv/math_instruct | |
Solve -495*n - 52 = -492*n + 21*x + 80, -5*n - 5*x = -4*x + 84 for n.\n | -16\n | ibivibiv/math_instruct | |
Let x = -4 - -17. Suppose 7 + 21 = 2*w. Are x and w equal?\n | False\n | ibivibiv/math_instruct | |
Let y(f) = 6*f**2. Suppose 3*l = -2*x - 13, -l = -7*x + 4*x + 8. Let n(w) = -x + 1 - 58*w + 59*w. Calculate y(n(d)).\n | 6*d**2\n | ibivibiv/math_instruct | |
Suppose 2 = s - 6. Calculate the highest common divisor of s and 2.\n | 2\n | ibivibiv/math_instruct | |
Calculate prob of sequence cvv when three letters picked without replacement from vccvccvvvvccvrvvcccv.\n | 9/76\n | ibivibiv/math_instruct | |
Expand (-29 + 113 + 129 + 71)*(5 - 10 + 0)*(-2*f + 0*f + f + (-2 + 2 + 2)*(f - 6*f + 3*f) + 4*f - f - 2*f).\n | 5680*f\n | ibivibiv/math_instruct | |
Let p(o) = 18544*o. Let u(s) be the first derivative of s**3/3 + 10033. What is p(u(f))?\n | 18544*f**2\n | ibivibiv/math_instruct | |
What is -7435717 + -246556?\n | -7682273\n | ibivibiv/math_instruct | |
Let q(h) = 18*h**3 + 21*h**2 - 3*h + 9. Let g(y) = y**3 + y**2 + 1. Let p be 30/(-4)*(2 + 0). Let b(v) = p*g(v) + q(v). Find j such that b(j) = 0.\n | -2, -1, 1\n | ibivibiv/math_instruct | |
Let i = 6104/831 - 188/277. Solve 74/3*p + 2/3*p**5 + 20/3 + 104/3*p**2 + 68/3*p**3 + i*p**4 = 0 for p.\n | -5, -2, -1\n | ibivibiv/math_instruct | |
Let t(i) = -13*i - 3. Determine t(6).\n | -81\n | ibivibiv/math_instruct | |
What is the closest to -1/15 in 3, 4, 2, -0.4?\n | -0.4\n | ibivibiv/math_instruct | |
Let o(h) = 2*h - 3. Suppose -4*l = -0*l + 16. Let z be o(l). Let v = 1 - z. What is the units digit of v?\n | 2\n | ibivibiv/math_instruct | |
Let d be 11/(154/4) + (-155)/(-1736). Let z = 3.5 - -0.5. Let g = 2 - z. Sort 2/13, d, g in increasing order.\n | g, 2/13, d\n | ibivibiv/math_instruct | |
Calculate prob of picking 4 x when four letters picked without replacement from xssxgssgsgssgxxgg.\n | 1/2380\n | ibivibiv/math_instruct | |
List the prime factors of 377486.\n | 2, 173, 1091\n | ibivibiv/math_instruct | |
Expand -46*r + 18*r - 68*r + (-6 + 10 + 5)*(-4*r - r + 2*r).\n | -123*r\n | ibivibiv/math_instruct | |
What is (((-13)/351)/(12/(-243)))/((-1)/172)?\n | -129\n | ibivibiv/math_instruct | |
Let k = -24 + 21. What is the biggest value in k, 0.2, -0.1?\n | 0.2\n | ibivibiv/math_instruct | |
What is 760497.7 micrometers in meters?\n | 0.7604977\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 2919594045?\n | 5\n | ibivibiv/math_instruct | |
Collect the terms in -23*d**3 + 26*d**3 - 352 - 396 + 2*d - d.\n | 3*d**3 + d - 748\n | ibivibiv/math_instruct | |
b"What is the wth term of -9575, -19161, -28759, -38375, -48015, -57685?\n" | -w**3 - 9579*w + 5\n | ibivibiv/math_instruct | |
How many minutes are there in 2/45 of a week?\n | 448\n | ibivibiv/math_instruct | |
In base 3, what is -12 + 1011022101210?\n | 1011022101121\n | ibivibiv/math_instruct | |
Suppose -35 = -4*b + 149. Does 6 divide b?\n | False\n | ibivibiv/math_instruct | |
Let a = 0.04 + 0.26. Suppose -5*f + 2*r + 9 = 0, -4*f + r = 5*r + 4. What is the closest to -0.1 in -2/7, a, f?\n | -2/7\n | ibivibiv/math_instruct | |
What is -710.8 rounded to the nearest 10?\n | -710\n | ibivibiv/math_instruct | |
Let s(o) = o**2 - 11*o + 16. Calculate s(12).\n | 28\n | ibivibiv/math_instruct | |
What is 360 minutes before 9:41 AM?\n | 3:41 AM\n | ibivibiv/math_instruct | |
What is prob of sequence fq when two letters picked without replacement from {q: 3, m: 3, e: 4, f: 3}?\n | 3/52\n | ibivibiv/math_instruct | |
A number is doubled and 6 is added. If the resultant is trebled, it becomes 72. What is the original number? | Let's call the original number x.
According to the problem, the number is doubled and 6 is added, so we have:
2x + 6
Then, the resultant is trebled (multiplied by 3) to become 72:
3(2x + 6) = 72
Now, lets solve for x:
6x + 18 = 72
Subtract 18 from both sides:
6x = 72 - 18
6x = 54
Now, divide both sides by 6:
... | ibivibiv/math_instruct | |
Which is the nearest to 0.12? (a) 0.1 (b) -11 (c) 0\n | a\n | ibivibiv/math_instruct | |
Let z(p) = -6*p - 2. Let f(t) = -t. Let y(w) = -5*f(w) + z(w). Let u be y(-7). Suppose -11971661 + 2971661 = u*r. What is r rounded to the nearest one million?\n | -2000000\n | ibivibiv/math_instruct | |
Express 31*x - 12*x - 51*x + x + 0*x + 0*x - 2*x - 4 + 4 + (x - 3*x + 3*x)*(-2 - 3 + 4) as j*x + i and give j.\n | -34\n | ibivibiv/math_instruct | |
Calculate -93 divided by -6.\n | 31/2\n | ibivibiv/math_instruct | |
Does 38 divide 804636?\n | False\n | ibivibiv/math_instruct | |
Expand (-989*v - 1046*v + 281*v)*(-5*v**2 + 5*v**2 - v**2)*(-v - 1 + 1).\n | -1754*v**4\n | ibivibiv/math_instruct | |
3 times 7.2417\n | 21.7251\n | ibivibiv/math_instruct | |
Let p(l) = -l**3 + 3*l**2 + 12*l - 28. Calculate p(4).\n | 4\n | ibivibiv/math_instruct | |
Factor 115*u**2 + 24548620*u + 6403980.\n | 5*(u + 213466)*(23*u + 6)\n | ibivibiv/math_instruct | |
What is the units digit of 12653?\n | 3\n | ibivibiv/math_instruct | |
Suppose 4*l**3/3 - 92*l**2/3 - 1800*l = 0. What is l?\n | -27, 0, 50\n | ibivibiv/math_instruct | |
Let k be (-32)/(-14) + 16/(-56). Let w(x) = 5*x + 4. Let c be w(3). Let a be (c - -2)/(k/(-600)). Round a to the nearest one thousand.\n | -6000\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 1136380 and 140.\n | 140\n | ibivibiv/math_instruct | |
Suppose -734*v = -731*v - 15. Determine p, given that -175/4*p**4 - 1 - 10*p - 145/4*p**2 - 235/4*p**3 - 49/4*p**v = 0.\n | -1, -2/7\n | ibivibiv/math_instruct | |
Let d = -1 + -5. Let u = d - -9. What is the smallest value in u, 2, 0.2?\n | 0.2\n | ibivibiv/math_instruct | |
What comes next: 1828, 15138, 51272, 121642, 237660?\n | 410738\n | ibivibiv/math_instruct | |
Three letters picked without replacement from uuuuiuuauduubjadua. What is prob of sequence bdu?\n | 5/1224\n | ibivibiv/math_instruct | |
((1/(-2))/(621/(-46)))/((-16)/(-1344)*-4)\n | -7/9\n | ibivibiv/math_instruct | |
Round -386.55534 to the nearest ten.\n | -390\n | ibivibiv/math_instruct | |
-21122010 (base 3) to base 7\n | -22140\n | ibivibiv/math_instruct | |
Let h(b) = -b**2 + 21*b + 565. What is h(36)?\n | 25\n | ibivibiv/math_instruct | |
32 divided by -65009\n | -32/65009\n | ibivibiv/math_instruct | |
Collect the terms in -163*o + 321*o - 158*o + 2*o**2.\n | 2*o**2\n | ibivibiv/math_instruct | |
Let r = -39 + 40. Solve -r = -5*o + 4 for o.\n | 1\n | ibivibiv/math_instruct | |
What comes next: -23587, -47171, -70755, -94339?\n | -117923\n | ibivibiv/math_instruct | |
Let x = 744 + -655. What is the derivative of x*l**2 - 209 + 109*l**2 + 2*l**2 wrt l?\n | 400*l\n | ibivibiv/math_instruct | |
Let s(c) = 489*c. Let g(y) = -22*y**2 + 75*y**2 - 39*y**2 - 16*y**2. Determine g(s(w)).\n | -478242*w**2\n | ibivibiv/math_instruct | |
Put 0, 3, 49, -1 in ascending order.\n | -1, 0, 3, 49\n | ibivibiv/math_instruct | |
Let d(l) = 3*l**2. Let a(z) = -z**3 - 4*z**2 - 4*z - 2. Let o be a(-3). Let k be d(o). Factor 5 - 9*i - 1 - 4 - k*i**2.\n | -3*i*(i + 3)\n | ibivibiv/math_instruct | |
What is the result of the following expression?
4.1433 - -52.3983 | 56.5416 | ibivibiv/math_instruct | |
Let u(p) = -26*p**2 + 17*p + 6. Let l(n) = 9*n**2 - 6*n - 2. Let w(d) = 11*l(d) + 4*u(d). Let t(k) = -9*k**2 + 3*k + 3. What is 3*t(g) - 5*w(g)?\n | -2*g**2 - g - 1\n | ibivibiv/math_instruct | |
Simplify i**(5/2)*i/(i**(-19)*i*i) assuming i is positive.\n | i**(41/2)\n | ibivibiv/math_instruct | |
Convert 9 (base 13) to base 7.\n | 12\n | ibivibiv/math_instruct | |
Factor -5*n**2 + 26510*n - 35139005.\n | -5*(n - 2651)**2\n | ibivibiv/math_instruct | |
Put 3/11, -0.01, -63 in decreasing order.\n | 3/11, -0.01, -63\n | ibivibiv/math_instruct | |
Divide 4 by -1706.\n | -2/853\n | ibivibiv/math_instruct | |
Which is greater: -112 or 3402?\n | 3402\n | ibivibiv/math_instruct | |
Let p be (-30)/25 - (-9)/(-105). Which is greater: 2/13 or p?\n | 2/13\n | ibivibiv/math_instruct | |
Simplify ((l*l/((l*l**0)/l)*l)/(l*l**2)*l**(1/2)*l**(2/5))/(l**5/(l**3*l)*(l/(l/l**(-2/21)))/l**(1/4)) assuming l is positive.\n | l**(103/420)\n | ibivibiv/math_instruct | |
Which is smaller: -1 or -1/31060?\n | -1\n | ibivibiv/math_instruct | |
In base 12, what is 47270 - -4?\n | 47274\n | ibivibiv/math_instruct | |
What is -81060 rounded to the nearest one thousand?\n | -81000\n | ibivibiv/math_instruct | |
Let d be (-18)/63 - (-37)/7. Suppose -5*z = -n - 71, 0*z - d*z + 75 = -5*n. Is 6 a factor of z?\n | False\n | ibivibiv/math_instruct | |
What is 2666/(-74) + (-1059)/(-39183)?\n | -36\n | ibivibiv/math_instruct | |
Let o(y) = -y - 22. Let b be o(-21). Let f be (-165)/(-44) - (b - 6/(-8)). Let x be (-52)/(-12) - f/(-6) - 1. What is the greatest common factor of 6 and x?\n | 2\n | ibivibiv/math_instruct | |
Let k(j) = -j**2 - 16*j + 5. Let q be k(-16). Let y be (24/60)/((-19)/q). Which is the third smallest value? (a) -1 (b) -4 (c) y\n | c\n | ibivibiv/math_instruct | |
b"What is the wth term of -45, -47, -49, -51?\n" | -2*w - 43\n | ibivibiv/math_instruct | |
Let f(h) = 2*h**2 - 10*h + 8. Let m(z) = -27*z - 289. Let s be m(-34). Let u = s + -623. Give f(u).\n | 20\n | ibivibiv/math_instruct | |
Let v be (-11 - -7) + 8 - 0. Suppose -12*m + 17*m + 3 = v*t, -5*m - 5 = -5*t. Solve -k = -0*k + 1, -5*k - m = -4*s for s.\n | -1\n | ibivibiv/math_instruct | |
Let j = 0.2 + -0.2. Let q = -286.8 + 286.79. Is q < j?\n | True\n | ibivibiv/math_instruct | |
What is (72/(-16))/((-135)/780)?\n | 26\n | ibivibiv/math_instruct | |
Suppose 4*j = 2*j + 4. Let n = -0.65 + -0.35. Which is the third smallest value? (a) n (b) j (c) -9\n | b\n | ibivibiv/math_instruct | |
Let f(s) be the second derivative of 3479*s**5/20 - 36*s**2 - 10*s + 15. Find the first derivative of f(n) wrt n.\n | 10437*n**2\n | ibivibiv/math_instruct | |
Simplify -5*sqrt(1584)*4.\n | -240*sqrt(11)\n | ibivibiv/math_instruct | |
Let w(d) = 68*d + 25. Let c(r) = -23*r - 8. Determine 7*c(m) + 2*w(m).\n | -25*m - 6\n | ibivibiv/math_instruct | |
Suppose 2*u = 108 + 4. Suppose -3*b - 2*y - 2*y = -41, -4*b - 4*y = -u. What are the prime factors of b?\n | 3, 5\n | ibivibiv/math_instruct | |
Let u = 0.35 + -0.05. Let y = 48 + -25. Let w = y - 93/4. What is the third biggest value in w, u, -6?\n | -6\n | ibivibiv/math_instruct | |
Let w be 4/(-2 - -4) - 1. Let m be 0 + 0/(-2) - w. Let f(u) = -6*u**3 - u**2 - u - 1. What is the units digit of f(m)?\n | 5\n | ibivibiv/math_instruct | |
Differentiate -118*t**4 + 999*t**3 - t + 446260 with respect to t.\n | -472*t**3 + 2997*t**2 - 1\n | ibivibiv/math_instruct |
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