instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Let h(s) = s**3 + 20*s**2 + 51*s + 15. Determine h(-12).\n | 555\n | ibivibiv/math_instruct | |
Let b be (0 - 5)*8/10. Let j = 37656 - 37682. Sort j, -2, b, 0 in decreasing order.\n | 0, -2, b, j\n | ibivibiv/math_instruct | |
Suppose -20*x**2 + 125*x - 195 = 0. Calculate x.\n | 3, 13/4\n | ibivibiv/math_instruct | |
Let c(r) = r - 2. Let i be c(3). Let h be (6/4)/((-4)/(-8)). Let d = h - 2. Is d bigger than i?\n | False\n | ibivibiv/math_instruct | |
Let f(l) = -2*l**2. Let m(h) = -h**2 + h. Let j(b) = -12*b**2 + 10*b. Let g(y) = -j(y) + 10*m(y). Calculate g(f(s)).\n | 8*s**4\n | ibivibiv/math_instruct | |
Let k = -23.07 + 23.17. Is k bigger than 960?\n | False\n | ibivibiv/math_instruct | |
Calculate 5.8147072 - 63.\n | -57.1852928\n | ibivibiv/math_instruct | |
Total of -55 and -922076.821.\n | -922131.821\n | ibivibiv/math_instruct | |
b"What is the qth term of -738, -1201, -1092, -123, 1994, 5547, 10824?\n" | 48*q**3 - 2*q**2 - 793*q + 9\n | ibivibiv/math_instruct | |
Suppose 5*r - 10*c - 35 = -12*c, r - 2*c = 19. Let f = -8 - -8. Let i(q) = -q**3 + q + 15. What is the remainder when i(f) is divided by r?\n | 6\n | ibivibiv/math_instruct | |
What is the next term in -39, 1, 205, 645, 1393, 2521, 4101, 6205?\n | 8905\n | ibivibiv/math_instruct | |
Is 1946618323 a composite number?\n | True\n | ibivibiv/math_instruct | |
Factor 4*q**5/5 + 2464*q**4/5 + 364384*q**3/5 - 4642176*q**2/5 + 14197824*q/5.\n | 4*q*(q - 6)**2*(q + 314)**2/5\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {m: 6, j: 1, l: 3, s: 2, n: 3}. What is prob of picking 1 l and 2 n?\n | 9/455\n | ibivibiv/math_instruct | |
Suppose 246*i - 45300 = -207*i. Solve -t = 103*z - i*z + 10, -5*t - 8 = z for t.\n | -1\n | ibivibiv/math_instruct | |
Collect the terms in -100 - 19*y**2 - 269 + 16*y**2 + 95.\n | -3*y**2 - 274\n | ibivibiv/math_instruct | |
Simplify (5*4*(sqrt(110)*-2 + sqrt(110)))/(sqrt(160) - (-6*2*sqrt(160) + sqrt(160) + sqrt(160)) - sqrt(160)).\n | -sqrt(11)/2\n | ibivibiv/math_instruct | |
What is 386 minutes before 10:32 PM?\n | 4:06 PM\n | ibivibiv/math_instruct | |
Let k(v) = -v + 2. Let x be k(0). Which is the closest to x? (a) -4 (b) 5 (c) -6\n | b\n | ibivibiv/math_instruct | |
What is the next term in -186417, -372468, -558533, -744618, -930729, -1116872, -1303053?\n | -1489278\n | ibivibiv/math_instruct | |
Let j(f) = -f**2. Let b(t) = 10744*t - 6. Calculate b(j(g)).\n | -10744*g**2 - 6\n | ibivibiv/math_instruct | |
Which is bigger: -388 or -440?\n | -388\n | ibivibiv/math_instruct | |
What is 0.08 less than 0.58?\n | 0.5\n | ibivibiv/math_instruct | |
Calculate (14/(1176/60))/((-3)/21).\n | -5\n | ibivibiv/math_instruct | |
Suppose h - 25 = -4*h. Let q(n) = -8*n**2 + 5*n - 1. Let c = -7 - -13. Let l(f) = 7*f**2 - 4*f + 1. Give c*l(x) + h*q(x).\n | 2*x**2 + x + 1\n | ibivibiv/math_instruct | |
Is 21 a factor of 20771667?\n | True\n | ibivibiv/math_instruct | |
Solve 5*i - 100 = -5*v, -2*v - 14*i = -298 - 42 for v.\n | -5\n | ibivibiv/math_instruct | |
What is 386 minutes before 6:34 AM?\n | 12:08 AM\n | ibivibiv/math_instruct | |
Solve 2*f + 3 = -k, -5*f + 5*k - 62 + 17 = 0 for f.\n | -4\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {t: 1, x: 3, n: 1, k: 5, o: 1, y: 1}.\n | 5/66\n | ibivibiv/math_instruct | |
What is the value of 12/8 + ((-7)/(-14) - 24)?\n | -22\n | ibivibiv/math_instruct | |
Let h be 0*(-2)/8*-4. Suppose 0*g - g = h. Solve g = -j - 2*z + 3 - 6, 5*z + 20 = 0 for j.\n | 5\n | ibivibiv/math_instruct | |
What is next in 23610, 47215, 70812, 94401, 117982?\n | 141555\n | ibivibiv/math_instruct | |
Two letters picked without replacement from sgc. Give prob of picking 1 c and 1 g.\n | 1/3\n | ibivibiv/math_instruct | |
Let p = 2806 + -2794. Sort p, 5, -5, 4, -7 in descending order.\n | p, 5, 4, -5, -7\n | ibivibiv/math_instruct | |
Let j(v) be the first derivative of v**2 + 5*v + 53835. Suppose r + 3*w + 9 = 0, -2*r - 5 = 3*w + 10. Calculate j(r).\n | -7\n | ibivibiv/math_instruct | |
Let n(u) = 1559*u + 3879. Determine n(-2).\n | 761\n | ibivibiv/math_instruct | |
Let v = -13.716 + 13.476. Put -1/9, v, -0.2, -0.1, -4 in decreasing order.\n | -0.1, -1/9, -0.2, v, -4\n | ibivibiv/math_instruct | |
Calculate (54/(-72)*-4)/(372/(-8)).\n | -2/31\n | ibivibiv/math_instruct | |
What is the distance between -3 and 73808696?\n | 73808699\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"### Several versions of negative binomial distribution
Posted on Updated on
This post shows how to work with negative binomial distribution from an actuarial modeling perspective. The negative binomial distribution is intro... | The negative binomial distribution is a fundamental concept in statistics and actuarial science, which can be derived as a Poisson-gamma mixture. This means that if we have a Poisson distribution where the rate parameter itself follows a gamma distribution, then the resulting marginal distribution is negative binomial... | ibivibiv/math_instruct | |
What is the tens digit of 17774?\n | 7\n | ibivibiv/math_instruct | |
Let m = -1973 + 7979/4. Find the common denominator of m and 14/(-21) - (-3 - -1)/(-30).\n | 60\n | ibivibiv/math_instruct | |
What are the prime factors of 143315855?\n | 5, 28663171\n | ibivibiv/math_instruct | |
Suppose 24*t - 58462 = 139946. Is t composite?\n | True\n | ibivibiv/math_instruct | |
What is the greatest common factor of 160810024 and 344?\n | 344\n | ibivibiv/math_instruct | |
Let l(d) be the third derivative of d**6/120 - d**5/12 + 5*d**4/24 - 5*d**3/6 - 5*d**2. Suppose -3*c + 3 + 0 = 0. Let n be 0/(c - 3) - -4. What is l(n)?\n | -1\n | ibivibiv/math_instruct | |
Simplify -2 + sqrt(85)/(-2*sqrt(125)).\n | -2 - sqrt(17)/10\n | ibivibiv/math_instruct | |
Let x = -10 - -8. Let a be (x - 11/(-4))*4. Suppose 0 = -a*v + 3*k + 24, 3*k = -v + k + 2. Is v a multiple of 6?\n | True\n | ibivibiv/math_instruct | |
(-34 - 1368/(-40)) + 2772/(-35)\n | -79\n | ibivibiv/math_instruct | |
Let w = -860.1 - -860. Let x = -27 - -23. Let g = 34/7 + -36/7. Which is the second smallest value? (a) 2 (b) w (c) x (d) g\n | d\n | ibivibiv/math_instruct | |
Collect the terms in -3*a + 621*a**2 + 374*a**2 - 136*a**2.\n | 859*a**2 - 3*a\n | ibivibiv/math_instruct | |
Simplify ((((((f*f/f**(-1/5))/f)/f)/f)/f)/f)**(-7) assuming f is positive.\n | f**(98/5)\n | ibivibiv/math_instruct | |
List the prime factors of 7934.\n | 2, 3967\n | ibivibiv/math_instruct | |
Round -0.000001824 to six dps.\n | -0.000002\n | ibivibiv/math_instruct | |
Let f = 257 - 472. Let u = 176103.042770735 + -175888.04277. Let r = f + u. Round r to 7 decimal places.\n | 0.0000007\n | ibivibiv/math_instruct | |
b"What is the cth term of 1909389, 3818676, 5727963?\n" | 1909287*c + 102\n | ibivibiv/math_instruct | |
Let k be (1/2)/((-5)/(-50)). Let r be ((-19)/k)/(1/(-5)). What is the third derivative of -19*o**5 + r*o**5 - 11*o**6 + 12*o**2 wrt o?\n | -1320*o**3\n | ibivibiv/math_instruct | |
Let i = 0.3 - -0.1. Suppose -y - w = -2, -3*y = -5*w + w - 41. Let m = 4 - y. Which is the closest to 0? (a) m (b) 0.3 (c) i\n | b\n | ibivibiv/math_instruct | |
Suppose 4*x + 2*h - 42 = -0*h, 2*h = 5*x - 30. Let c be (x/(-10) + 0)/(5/(-25)). Solve 0 = -0*i - c*i - 12 for i.\n | -3\n | ibivibiv/math_instruct | |
Let i be 4 + (-65)/15 + 16/48. Let q(g) be the first derivative of -6*g + 1/3*g**3 + 12 + i*g**2. Find the first derivative of q(n) wrt n.\n | 2*n\n | ibivibiv/math_instruct | |
Let a(j) = -25*j**3 - 13*j**2 + 13*j - 13. Let s(t) = -13*t**3 - 6*t**2 + 6*t - 6. Determine -6*a(p) + 13*s(p).\n | -19*p**3\n | ibivibiv/math_instruct | |
What is the third derivative of m**5 - 220*m**3 + 60*m**2 wrt m?\n | 60*m**2 - 1320\n | ibivibiv/math_instruct | |
Simplify ((-4*sqrt(420)*1)/sqrt(7))/((sqrt(576)*-2)/sqrt(12) - sqrt(48)).\n | 2*sqrt(5)/3\n | ibivibiv/math_instruct | |
Let s be 1/18*4*(-4 - -5). What is the closest to -0.1 in s, -28, 3?\n | s\n | ibivibiv/math_instruct | |
Round -950.6 to the nearest 10.\n | -950\n | ibivibiv/math_instruct | |
Solve -593*u - 2*q = 1827, -5*u - 197*q - 63 = -195*q for u.\n | -3\n | ibivibiv/math_instruct | |
Simplify ((sqrt(36) - sqrt(324))/sqrt(4))/(sqrt(27)*-4 - sqrt(3)).\n | 2*sqrt(3)/13\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"## Define Solutions to Systems of Linear Inequalities
### Learning Outcomes
• Identify solutions to systems of linear inequalities
## Graph a System of Two Inequalities
Remember from the module on graphing that the graph ... | When dealing with systems of linear inequalities, identifying their solutions is a fundamental skill. To begin with, let's recall what a linear inequality looks like. It is a mathematical statement involving two variables (often represented by x and y) and an inequality symbol (such as <, >, ≤, or ≥). For instance, "y... | ibivibiv/math_instruct | |
Let u = -2.6 - -3. Suppose 5*m = 6*m + 3*s - 18, 6 = 3*m - 3*s. Let h be (1/m)/((-5)/50). Sort u, h, 2 in increasing order.\n | h, u, 2\n | ibivibiv/math_instruct | |
Which is smaller: 52623 or 52621?\n | 52621\n | ibivibiv/math_instruct | |
Does 56 divide 5036?\n | False\n | ibivibiv/math_instruct | |
Product of 3.61 and -341.\n | -1231.01\n | ibivibiv/math_instruct | |
Solve -247*g - 243*g + 12691 = -147*g for g.\n | 37\n | ibivibiv/math_instruct | |
Let j = 3/1750 + -62567/2625. Calculate the common denominator of -93/20 and j.\n | 60\n | ibivibiv/math_instruct | |
Let b(p) be the first derivative of 8*p**4 - p**3/3 + 23. Find the third derivative of b(x) wrt x.\n | 192\n | ibivibiv/math_instruct | |
Sort 5, -5, -1001 in decreasing order.\n | 5, -5, -1001\n | ibivibiv/math_instruct | |
Let z = -74.5 + 75. Sort 0.1, z, 1/9, -0.7 in decreasing order.\n | z, 1/9, 0.1, -0.7\n | ibivibiv/math_instruct | |
Suppose -1266 + 13404 = 21*x. Let u = 161 + x. What is the hundreds digit of u?\n | 7\n | ibivibiv/math_instruct | |
Let o(p) = 3*p - 10. Let n be o(2). Let y(z) = -4*z - 3. Let w(g) = -2*g - 1. Let v(b) = -9*w(b) + 4*y(b). Determine v(n).\n | -11\n | ibivibiv/math_instruct | |
8 + 12 + -18 - 8\n | -6\n | ibivibiv/math_instruct | |
Determine z, given that -4*z**2 + 117522*z + 58762 = 0.\n | -1/2, 29381\n | ibivibiv/math_instruct | |
What is 1332 divided by -12?\n | -111\n | ibivibiv/math_instruct | |
Factor -p**2/5 + 415546*p/5 + 415547/5.\n | -(p - 415547)*(p + 1)/5\n | ibivibiv/math_instruct | |
List the prime factors of 2799081063.\n | 3, 313, 331213\n | ibivibiv/math_instruct | |
What is the units digit of 8078?\n | 8\n | ibivibiv/math_instruct | |
Is 127405091 a multiple of 29?\n | True\n | ibivibiv/math_instruct | |
Suppose 10*d + 371 = 776 - 385. Solve 2*i = -5*l + 27, -26 = -d*l + 3*i - 19 for l.\n | 5\n | ibivibiv/math_instruct | |
What is the value of (6 - (2 - 0)) + (1 - -9) + -15?\n | -1\n | ibivibiv/math_instruct | |
-25+-15951602\n | -15951627\n | ibivibiv/math_instruct | |
Which is bigger: -157/5056 or -1?\n | -157/5056\n | ibivibiv/math_instruct | |
Let m be ((-6)/(-8))/((-371)/56 + 7). Solve -8*i**2 + 21*i**2 - 9*i**m - 3*i**2 + 3*i - 5*i = 0 for i.\n | 0, 2\n | ibivibiv/math_instruct | |
Find the common denominator of 115/12303456 and -81/21010.\n | 61517280\n | ibivibiv/math_instruct | |
Let m = 40.7 + -35.7. Let r be (-40)/(-105) - 2/(-7). Which is the biggest value? (a) m (b) r (c) 129\n | c\n | ibivibiv/math_instruct | |
Let u be 70/20*(-1 + 3 - 0). Let d(s) = -36*s**3 - s**2 - 2*s - 2. Let z be d(-1). What is the greatest common factor of z and u?\n | 7\n | ibivibiv/math_instruct | |
Let g(p) = p**2 + 8*p + 1. Let a be 56/(-9) - (-14)/63. Let d be g(a). Let x(i) = -i**2 + 4*i. Let f(j) = -3*j**2 + 11*j. Give d*x(w) + 4*f(w).\n | -w**2\n | ibivibiv/math_instruct | |
Let m(t) = -5*t. Let a = 11 - 13. Let q(l) be the second derivative of l**3/6 + 35*l. Give a*m(r) - 6*q(r).\n | 4*r\n | ibivibiv/math_instruct | |
Let k(w) = -4*w - 9. Let r(f) = 116*f. What is k(r(s))?\n | -464*s - 9\n | ibivibiv/math_instruct | |
Suppose 16*k - 2522 = 710. Suppose 909 = 205*z - k*z. Is z composite?\n | True\n | ibivibiv/math_instruct | |
Simplify 2 + ((5*sqrt(475)*-1)**2 - (sqrt(475)*-1 + sqrt(475) + 2)) + 1.\n | 11876\n | ibivibiv/math_instruct |
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