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 663?\n | 6\n | ibivibiv/math_instruct | |
Find the second derivative of -547820*c**4 - 3*c**3 + 534730*c + 3 wrt c.\n | -6573840*c**2 - 18*c\n | ibivibiv/math_instruct | |
Let n(y) = -y**2 + 14*y + 11. Calculate n(15).\n | -4\n | ibivibiv/math_instruct | |
Let t be 18/5 - (-2)/5. Let v(s) = -3*s**2 - t*s**2 + 4*s**2. Let w(j) = 2*j**2. Give v(w(p)).\n | -12*p**4\n | ibivibiv/math_instruct | |
In base 15, what is -184b10 + 4?\n | -184b0b\n | ibivibiv/math_instruct | |
Let k = -7.3381 + 3.3381. Let z be (2 - -2) + -3 + -8. Is k at most as big as z?\n | False\n | ibivibiv/math_instruct | |
Let t = -212 + 216. Sort t, -1, 0, -148, -0.3 in decreasing order.\n | t, 0, -0.3, -1, -148\n | ibivibiv/math_instruct | |
Suppose -4*b - x = -98 - 101, 0 = 5*x - 15. Differentiate 54*u - b*u - 30 + 6 - 7*u**2 - u**2 wrt u.\n | -16*u + 5\n | ibivibiv/math_instruct | |
What is the seventh root of 3848156 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Let i(u) = u**2 + 8*u + 10. Let a be i(-7). Let k = 21 + a. Calculate the highest common divisor of 16 and k.\n | 8\n | ibivibiv/math_instruct | |
Let n(v) = 6*v**3 - 1381*v**2 - 4154*v + 5. What is n(-3)?\n | -124\n | ibivibiv/math_instruct | |
Let w be ((-26)/(-6))/(14/(-252)). Let k = w - -18. Let y = k - -126. What are the prime factors of y?\n | 2, 3, 11\n | ibivibiv/math_instruct | |
What is the cube root of 1006684 to the nearest integer?\n | 100\n | ibivibiv/math_instruct | |
Let t = -11 + 20. Let k = t - 4. Is k a multiple of 2?\n | False\n | ibivibiv/math_instruct | |
Calculate the remainder when 404 is divided by 130.\n | 14\n | ibivibiv/math_instruct | |
What is the third derivative of -493*f**3*j*p*y**3 + 119*f**3*j*p - f**2*j*y - 2*f**2 + 2*f*j + f*y - j*p*y**3 - 381*j*p wrt f?\n | -2958*j*p*y**3 + 714*j*p\n | ibivibiv/math_instruct | |
Let n = -18 - -22. Suppose 47 = -5*a - k, n = 5*a - k + 57. Is -10 greater than a?\n | False\n | ibivibiv/math_instruct | |
Let a = 39805 - 11981328/301. Let d = a - 13501/4515. Calculate the common denominator of d and (116/(-210))/((-3)/15).\n | 105\n | ibivibiv/math_instruct | |
What is 280972380 to the power of 1/2, to the nearest integer?\n | 16762\n | ibivibiv/math_instruct | |
-1*(2/14)/(836/7315)\n | -5/4\n | ibivibiv/math_instruct | |
Let w = 0.32 + -3.32. Which is the nearest to 0? (a) -1 (b) w (c) -0.2\n | c\n | ibivibiv/math_instruct | |
Calculate the common denominator of 101/2302078 and -51/8816.\n | 18416624\n | ibivibiv/math_instruct | |
Let n = -787.1 - -787. What is the closest to 2 in n, 0.2, 401?\n | 0.2\n | ibivibiv/math_instruct | |
What is 65/(-19305)*-6853 + -23?\n | 2/27\n | ibivibiv/math_instruct | |
Two letters picked without replacement from jisiggvisgl. Give prob of picking 1 v and 1 i.\n | 3/55\n | ibivibiv/math_instruct | |
Suppose 0 = -4*y - 0*y. Let z(r) = r**3 + r**2 - r + 3. Let k be z(y). Suppose -4*x + 2*t + 7 = -21, k*t - 13 = -5*x. Solve -x*f = -7 - 8, -f + 8 = 5*b for b.\n | 1\n | ibivibiv/math_instruct | |
Let y = 61 - 110. Let l = y - -63. What is the smallest common multiple of ((-1)/3)/((-1)/18) and l?\n | 42\n | ibivibiv/math_instruct | |
Let a(m) = -17*m - 31 + 9 - 2. What is the tens digit of a(-4)?\n | 4\n | ibivibiv/math_instruct | |
Suppose 0 = -5*l + 9*f - 14*f + 45, 2*f = -l + 10. What is the remainder when 94 is divided by l?\n | 6\n | ibivibiv/math_instruct | |
What is 1672 to the power of 1/3, to the nearest integer?\n | 12\n | ibivibiv/math_instruct | |
What is 86277 times 0.06?\n | 5176.62\n | ibivibiv/math_instruct | |
Is 0 at least as big as 1/1733319?\n | False\n | ibivibiv/math_instruct | |
Suppose 6 = -4*g + 2. Let w be 0*-3*g/6. Let b(t) = -5*t**3 - 2*t - 2. Let o be b(-1). Solve o*c - 6 = 3*s, w*s = -c + 5*s - 12 for c.\n | 3\n | ibivibiv/math_instruct | |
Sort -2, 795, 25, -0.21.\n | -2, -0.21, 25, 795\n | ibivibiv/math_instruct | |
Let l be 28/(-10)*570/(-399). Put l, 2, 547 in descending order.\n | 547, l, 2\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) -4/15 (b) -6 (c) 15 (d) 0.12\n | d\n | ibivibiv/math_instruct | |
(405/100 + -4)*(1 - -3)\n | 1/5\n | ibivibiv/math_instruct | |
Let n(p) = 79016*p + 53651867. Give n(-679).\n | 3\n | ibivibiv/math_instruct | |
What comes next: 4289, 4310, 4331?\n | 4352\n | ibivibiv/math_instruct | |
Let p(o) = -23 + 41 + 2*o - 18 + 47*o**2. Let l(r) = 153*r - 446*r + 152*r + 144*r. Determine p(l(a)).\n | 423*a**2 + 6*a\n | ibivibiv/math_instruct | |
What is the fourth smallest value in 3/2, 2/71, 0.00981, 2/11?\n | 3/2\n | ibivibiv/math_instruct | |
What is -5 times -1.769?\n | 8.845\n | ibivibiv/math_instruct | |
What is 2*2*(-8)/8?\n | -4\n | ibivibiv/math_instruct | |
-3172 divided by 1\n | -3172\n | ibivibiv/math_instruct | |
Simplify o**1/((o/(o**(3/4)*o)*o)/o*o)*o**6*o**(-5) assuming o is positive.\n | o**(7/4)\n | ibivibiv/math_instruct | |
Let n = -895 + 11633/13. Which is the nearest to -0.2? (a) -2/3 (b) 0 (c) n\n | c\n | ibivibiv/math_instruct | |
Collect the terms in 6439*j - 6439*j + 151*j**2 + 11*j**2.\n | 162*j**2\n | ibivibiv/math_instruct | |
List the prime factors of 13170.\n | 2, 3, 5, 439\n | ibivibiv/math_instruct | |
What is the value of -9 - (26 + -47 + 8)?\n | 4\n | ibivibiv/math_instruct | |
Is 0 greater than -2/34965?\n | True\n | ibivibiv/math_instruct | |
Solve 5*y = 2*n - 1, -5*n + 409 = -5*y + 429 for n.\n | -7\n | ibivibiv/math_instruct | |
List the prime factors of 33/2*48/9.\n | 2, 11\n | ibivibiv/math_instruct | |
Solve 5*f = 53*u - 49*u - 32, -6 = 3*u for f.\n | -8\n | ibivibiv/math_instruct | |
Let d = 66 + -66. What is the closest to d in 1/5, -9, 0.1?\n | 0.1\n | ibivibiv/math_instruct | |
Is -10411 equal to -10415?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 459705553?\n | 541, 849733\n | ibivibiv/math_instruct | |
Calculate 21*0.2.\n | 4.2\n | ibivibiv/math_instruct | |
Let a be (2/(-3))/((-8)/(-12)). Let k be a + -1 + 5 + 0. Let f(z) = k*z - 5*z + 3*z. Let n(q) = 5*q + 1. Give 3*f(g) - n(g).\n | -2*g - 1\n | ibivibiv/math_instruct | |
Is 44313977 >= 44313977?\n | True\n | ibivibiv/math_instruct | |
(7/(-42))/(2/156)\n | -13\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -0.2 (b) -10 (c) 0.3\n | b\n | ibivibiv/math_instruct | |
Let k(m) = 24899*m. Let v(t) = 8*t**2. Give k(v(b)).\n | 199192*b**2\n | ibivibiv/math_instruct | |
Suppose 0 = 15*k - 2846 + 1211. Calculate the remainder when 134 is divided by k.\n | 25\n | ibivibiv/math_instruct | |
Suppose 5/4*r**2 + 0*r - 5 = 0. Calculate r.\n | -2, 2\n | ibivibiv/math_instruct | |
Is 7553 a multiple of 83?\n | True\n | ibivibiv/math_instruct | |
Let b = 1373 + -238. Find m, given that 168*m + b - 34*m**2 - 3487 + 31*m**2 = 0.\n | 28\n | ibivibiv/math_instruct | |
b"What is the zth term of 356, 363, 370, 377?\n" | 7*z + 349\n | ibivibiv/math_instruct | |
Is -74 at least as big as -1/3?\n | False\n | ibivibiv/math_instruct | |
What is the product of 0.4 and -20?\n | -8\n | ibivibiv/math_instruct | |
Round -9570467.4 to the nearest ten thousand.\n | -9570000\n | ibivibiv/math_instruct | |
What are the prime factors of 31574806?\n | 2, 15787403\n | ibivibiv/math_instruct | |
Simplify 2 + sqrt(396)*2*1.\n | 2 + 12*sqrt(11)\n | ibivibiv/math_instruct | |
Suppose -b - 2 = -3*b. Sort 5, b, 3 in increasing order.\n | b, 3, 5\n | ibivibiv/math_instruct | |
Let g(t) = t**2 - 6*t + 6. Let s be g(6). Let c = 9 - s. Suppose -2*x + c*x = 17. Is 8 a factor of x?\n | False\n | ibivibiv/math_instruct | |
Suppose -27 = -2*z - 13. Let t(w) = -3*w - 44. Let l be t(27). Let m = -125 - l. Sort m, z, 3.\n | m, 3, z\n | ibivibiv/math_instruct | |
What is the square root of 945647 to the nearest integer?\n | 972\n | ibivibiv/math_instruct | |
Suppose 8*o**4/3 - 154*o**3/3 - 174*o**2 + 844*o/3 - 176/3 = 0. Calculate o.\n | -4, 1/4, 1, 22\n | ibivibiv/math_instruct | |
What is ((-22)/(-10) + -3)*(48 + -58)?\n | 8\n | ibivibiv/math_instruct | |
Calculate 1186458260 divided by 26.\n | 45633010\n | ibivibiv/math_instruct | |
What is the closest to -26888 in -5, -11, 0.2?\n | -11\n | ibivibiv/math_instruct | |
Let b(l) = l**2 - 14*l + 25. Let q be b(12). Suppose -2*p = 3*a - q, -4*p = -28 + 8. Put 0, 1, a, -32 in descending order.\n | 1, 0, a, -32\n | ibivibiv/math_instruct | |
Calculate prob of sequence xmm when three letters picked without replacement from mmxf.\n | 1/12\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 0.18 (b) -0.3 (c) 4 (d) -2/7\n | c\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {n: 8, l: 5}. Give prob of sequence lnll.\n | 4/143\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"233 views
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
1. 5 min. past 7
2. $5\frac{2}{11}$ min. past 7
3. $5 \frac{3}{11}$ min. past 7
4. $5 \frac{5}{11}$ mi... | The problem you have presented involves determining the time at which the hour hand and the minute hand of an analog clock form a straight line, also known as being co-linear, within the hour between 7 and 8 o'clock. This concept relies on understanding the difference in angular velocity between the two hands and how ... | ibivibiv/math_instruct | |
What is the next term in -8314, -67570, -228684, -542578, -1060174, -1832394, -2910160, -4344394?\n | -6186018\n | ibivibiv/math_instruct | |
Expand -2*s - 4*s**2 + 2*s - 3*s**2 - 3 + 3 + (0 + 0 + 2*s)*(-2*s + 4 - 4).\n | -11*s**2\n | ibivibiv/math_instruct | |
Let y(r) be the second derivative of -5*r**4 - 91/2*r**2 + 0*r**3 + 0 - 174*r. What is the first derivative of y(x) wrt x?\n | -120*x\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 3432 and 57772?\n | 572\n | ibivibiv/math_instruct | |
Suppose -7632 = -7*z + 8412. Let y = 50441/22 - z. Find the common denominator of (0 + 1/124)*-74 and y.\n | 682\n | ibivibiv/math_instruct | |
Suppose 49 = -5*y + 224. What is the remainder when y is divided by 9?\n | 8\n | ibivibiv/math_instruct | |
Round -0.0004771 to 4 decimal places.\n | -0.0005\n | ibivibiv/math_instruct | |
Differentiate -997*c**2 + 937.\n | -1994*c\n | ibivibiv/math_instruct | |
Let f = 0.301 + -0.701. Which is the nearest to 4? (a) 3 (b) -3 (c) f\n | a\n | ibivibiv/math_instruct | |
Evaluate 3 - ((-10 - -10) + 11).\n | -8\n | ibivibiv/math_instruct | |
Put 50, -11, -3, 2 in descending order.\n | 50, 2, -3, -11\n | ibivibiv/math_instruct | |
Solve 259*v + 0*v + 1644 + 946 = 0 for v.\n | -10\n | ibivibiv/math_instruct | |
Let l(a) = -1. Let c(p) = -p + 4. Let z = 45 + -44. Suppose 5 = x - 1. Give x*l(q) + z*c(q).\n | -q - 2\n | ibivibiv/math_instruct | |
Suppose -55 = -p + 4*a, 7*p = 4*p - 5*a + 165. Let i = -540 + 548. Suppose 48 = x + 2*z, -x - z = i - p. What are the prime factors of x?\n | 2, 23\n | ibivibiv/math_instruct | |
Find the common denominator of 19/2 and 14/10*(-187)/(-22).\n | 10\n | ibivibiv/math_instruct |
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