instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the second derivative of -16382*t**2 - 14280*t wrt t?\n | -32764\n | ibivibiv/math_instruct | |
Let n(c) = 5*c + 4. Let v(o) = -1. Let m(x) = -n(x) - 3*v(x). Let r be m(-1). Suppose 0 = -3*d - 9, -4*d + r = -2*l - 8*d. What are the prime factors of l?\n | 2\n | ibivibiv/math_instruct | |
Does 380 divide 1999042?\n | False\n | ibivibiv/math_instruct | |
Suppose -h + 5 + 1 = 0. Let q = h - 4. Let f = 18 - 17. Solve u = -f + q, -w = 5*u for w.\n | -5\n | ibivibiv/math_instruct | |
Suppose 0 = -d + 5*k + 74, d - 216 = -3*d + 4*k. List the prime factors of d.\n | 7\n | ibivibiv/math_instruct | |
Evaluate 2*((-9)/42)/((-30)/35).\n | 1/2\n | ibivibiv/math_instruct | |
Let r = -56 + 2. Let t = 20 + r. Let y = t + 33.74. What is y rounded to 1 dp?\n | -0.3\n | ibivibiv/math_instruct | |
Is 617983 a prime number?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 v and 1 r when three letters picked without replacement from rzcvcrvvfvcvffvf.\n | 3/56\n | ibivibiv/math_instruct | |
Let o(j) = -5*j - 3. Let c(p) = 11*p + 6. Determine -4*c(v) - 9*o(v).\n | v + 3\n | ibivibiv/math_instruct | |
Let h(w) = w**2 + 5*w - 4. Let n be h(-5). Let g be ((-10)/(-4))/(n/(-8)). Solve 9*y - g = 4*y for y.\n | 1\n | ibivibiv/math_instruct | |
Simplify sqrt(8)/(sqrt(4) - (sqrt(196)*2 + sqrt(196)))*-1.\n | sqrt(2)/20\n | ibivibiv/math_instruct | |
Is 4/69 >= 2/3?\n | False\n | ibivibiv/math_instruct | |
Let w = 611 - 575. What is the least common multiple of w and 8?\n | 72\n | ibivibiv/math_instruct | |
What is 550.5878 days in hours?\n | 13214.1072\n | ibivibiv/math_instruct | |
Collect the terms in -3021*c - 362*c - 5 + 5 - 865*c.\n | -4248*c\n | ibivibiv/math_instruct | |
Does 9 divide 3936?\n | False\n | ibivibiv/math_instruct | |
Express (4*o**2 - 3*o**2 + 0*o**2)*(618 - 2291 - 648) in the form q*o + j*o**2 + r and give j.\n | -2321\n | ibivibiv/math_instruct | |
Evaluate (15/(-4))/((-9740)/5844 - 125/(-72)).\n | -54\n | ibivibiv/math_instruct | |
Calculate the remainder when 1496530 is divided by 498827.\n | 49\n | ibivibiv/math_instruct | |
How many minutes are there between 6:26 PM and 2:50 AM?\n | 504\n | ibivibiv/math_instruct | |
Simplify ((f*f**(-20))/f)/(((f/(f/(f/(f*f/(f/(f/((f/((f*f**(2/13)*f)/f))/f)))))))/f*f)/f) assuming f is positive.\n | f**(-219/13)\n | ibivibiv/math_instruct | |
Let k(n) = n**3 + 26*n**2 - 24*n - 622. What is k(-26)?\n | 2\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {s: 1, v: 10, i: 6}. What is prob of sequence iiv?\n | 5/68\n | ibivibiv/math_instruct | |
In base 9, what is -1518 + 4?\n | -1514\n | ibivibiv/math_instruct | |
What is 146 divided by 1405?\n | 146/1405\n | ibivibiv/math_instruct | |
Total of 1 and 24830.\n | 24831\n | ibivibiv/math_instruct | |
-0.34*9159\n | -3114.06\n | ibivibiv/math_instruct | |
Suppose 5*a = 3*j - 5, 5*j + 5*a + 0*a = -5. Suppose j = 4*v + 5*m - 31, 2*v - 5*v = -4*m. Factor -12*d**v + d**3 - 5*d**2 + 2*d**2 + 3*d**3 + 8*d**3.\n | -3*d**2*(2*d - 1)**2\n | ibivibiv/math_instruct | |
2322014 (base 5) to base 14\n | 114d8\n | ibivibiv/math_instruct | |
Sort 38, -51, 0, 1, -11, 16.\n | -51, -11, 0, 1, 16, 38\n | ibivibiv/math_instruct | |
Suppose -5*k + 3 = -7. Let y(n) = -5*n**3 - 4*n - k*n**3 + 8*n**3 - 3. Let x(u) = u + 1. What is -6*x(c) - 2*y(c)?\n | -2*c**3 + 2*c\n | ibivibiv/math_instruct | |
Sum -0.01 and 701771.\n | 701770.99\n | ibivibiv/math_instruct | |
Let c(b) = 5*b**2 + 3*b - 12. Let q(h) = -4*h**2 - 2*h + 11. Give -3*c(i) - 4*q(i).\n | i**2 - i - 8\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(8.5981 * -1.0906) % (14.8778 + -31.3462) | -9.3771 | ibivibiv/math_instruct | |
Three letters picked without replacement from {q: 3, d: 1}. What is prob of picking 1 d and 2 q?\n | 3/4\n | ibivibiv/math_instruct | |
Let y(h) = 23*h + 32. Let c(q) = -8*q - 11. Let t(w) = 11*c(w) + 4*y(w). Let z be t(-3). Let s = -10 - z. Sort 0, 3, s in increasing order.\n | s, 0, 3\n | ibivibiv/math_instruct | |
Let u = -9004 + 197991/22. Find the common denominator of -63/16 and u.\n | 176\n | ibivibiv/math_instruct | |
Calculate (1352/(-1690) + 18/(-40))/(1/12).\n | -15\n | ibivibiv/math_instruct | |
Let x be 37*(-7 + 8) - 3. Calculate the highest common factor of x and 323.\n | 17\n | ibivibiv/math_instruct | |
What are the prime factors of 15539724?\n | 2, 3, 431659\n | ibivibiv/math_instruct | |
((-80)/4000)/((-2*1)/8)\n | 2/25\n | ibivibiv/math_instruct | |
Calculate the remainder when 4756 is divided by 1419.\n | 499\n | ibivibiv/math_instruct | |
What is the biggest value in -1/3, -9, 0.018, 0.4, 1/5?\n | 0.4\n | ibivibiv/math_instruct | |
Collect the terms in -22792 + 22792 - 8*t.\n | -8*t\n | ibivibiv/math_instruct | |
Is 161817 prime?\n | False\n | ibivibiv/math_instruct | |
Let o(w) = -3*w. Let p(c) = -6*c + 55. Give p(o(i)).\n | 18*i + 55\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Question
# Find the sum of following numbers:$51 + 52 + 53 + ....... + 100 = ?$ $A.{\text{ 3775}} \\ B.{\text{ 4025}} \\ C.{\text{ 4275}} \\ D.{\text{ 5050}} \\$
Verified
145.5k+ views
Hint- In order to solve the question, ... | The problem at hand involves finding the sum of a sequence of numbers. These numbers form an arithmetic progression (AP), which is a series where the difference between any two successive terms is constant. Here, the common difference is 1, as each term increases by 1 relative to its predecessor. To solve this problem... | ibivibiv/math_instruct | |
Calculate 20684175316 - -257.\n | 20684175573\n | ibivibiv/math_instruct | |
Simplify (3*(sqrt(1900) + sqrt(1900) + 0 + sqrt(1900))*2 - (sqrt(1900) + (sqrt(1900) - sqrt(1900)*2)*-6 - (1 + -1*sqrt(1900))))**2.\n | 200*sqrt(19) + 190001\n | ibivibiv/math_instruct | |
Let t be 1 + 0 - (-6)/14. Let g be 4 - (8 + -4 - 3)*-22. Suppose -3*q - g = -26. Which is smaller: t or q?\n | q\n | ibivibiv/math_instruct | |
Let z = -57 - -62. Solve 4*q + 3*n + z = 2*n, -2*n = q - 4 for q.\n | -2\n | ibivibiv/math_instruct | |
Let v be 176/99 + -2*(-1)/9. Suppose 4*r - 4*c - 877 - 1091 = 0, -r = v*c - 477. Is r prime?\n | True\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# How can I check if a function remains unevaluated?
I am trying to check if a function remains unevaluated.
For example
$$\int \ln ^5(3 x) \sec (3 x) \, dx$$
remains unevaluated in Mathematica, instead $$\int \sec (3 x) ... | In mathematics and computer science, particularly in the context of computation with symbolic expressions, the concept of evaluation refers to the process of applying algebraic rules and identities to simplify an expression into a canonical form. For instance, consider the integral $$I=\int\ln^5(3x)\sec(3x)dx.$$ While... | ibivibiv/math_instruct | |
Collect the terms in 2*q + 4 - 2*q - 58*q**2 - 813*q**2.\n | -871*q**2 + 4\n | ibivibiv/math_instruct | |
What is the value of -116 - (-31 + 19 + (25 - 6 - 5) + -15)?\n | -103\n | ibivibiv/math_instruct | |
Let t = -0.123 - 206.877. Let w = t + 207. Let r = -0.3 + 0.4. Which is the second biggest value? (a) w (b) r (c) 5 (d) -1/5\n | b\n | ibivibiv/math_instruct | |
Suppose -3*s**3/7 - 253914*s**2/7 - 5372439360*s/7 + 10745894400/7 = 0. Calculate s.\n | -42320, 2\n | ibivibiv/math_instruct | |
Let m(q) = -2*q + 15. Let c be m(11). Let i(g) = g**3 + 8*g**2 + 7*g + 2. What is the least common multiple of 1 and i(c)?\n | 2\n | ibivibiv/math_instruct | |
Let f = -159 - -180.8. Let r = f + 78.2. Let i = r + -102. Which is the biggest value? (a) 1 (b) -1/4 (c) i\n | a\n | ibivibiv/math_instruct | |
What is the closest to -2 in -2/9, 2/9, 0.4, 1?\n | -2/9\n | ibivibiv/math_instruct | |
Round 63.98819 to zero decimal places.\n | 64\n | ibivibiv/math_instruct | |
How many minutes are there between 1:02 PM and 3:54 PM?\n | 172\n | ibivibiv/math_instruct | |
Let i = -63 + 91. Let n = -16 + i. Is 12 a factor of n?\n | True\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 657 and 8103.\n | 219\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 249252 and 108.\n | 12\n | ibivibiv/math_instruct | |
Calculate the remainder when 3745 is divided by 210.\n | 175\n | ibivibiv/math_instruct | |
Collect the terms in -534*x**3 + 262*x**3 + 265*x**3.\n | -7*x**3\n | ibivibiv/math_instruct | |
Let w(d) = -d**3 - 3*d**2 + 5*d + 2. Let l(f) = -2*f + 8. Let u be l(6). Let m be w(u). What is the units digit of ((-1)/(-3))/(m/(-12))?\n | 2\n | ibivibiv/math_instruct | |
Is 10519583 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let r = -9 - -14. Suppose -36 = -4*x + x. Calculate the remainder when x is divided by r.\n | 2\n | ibivibiv/math_instruct | |
Suppose 4 - 22 = -5*b - 3*c, 5*b = 2*c + 38. Calculate the greatest common divisor of b and 4.\n | 2\n | ibivibiv/math_instruct | |
Collect the terms in -152*a**3 - 73*a**3 - 40*a**3 - 34*a**3 - 8*a**3.\n | -307*a**3\n | ibivibiv/math_instruct | |
Let n = 4 - 16. What is the tens digit of -3 + (41 - n/4)?\n | 4\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -0.3 (b) 2/25 (c) 2.75\n | a\n | ibivibiv/math_instruct | |
((2/8)/(-1))/(10/16)\n | -2/5\n | ibivibiv/math_instruct | |
-0.1 * 0.6185045\n | -0.06185045\n | ibivibiv/math_instruct | |
What is the tens digit of 2626?\n | 2\n | ibivibiv/math_instruct | |
Let u = -17809 + 71239/4. Let a(c) be the second derivative of 0 + 0*c**2 - 17/3*c**3 + 4*c - u*c**4. What is the second derivative of a(v) wrt v?\n | -18\n | ibivibiv/math_instruct | |
Calculate the common denominator of -87/142352 and -57/17794.\n | 142352\n | ibivibiv/math_instruct | |
List the prime factors of 5149.\n | 19, 271\n | ibivibiv/math_instruct | |
Collect the terms in 272*c**2 - 38*c**3 - 272*c**2.\n | -38*c**3\n | ibivibiv/math_instruct | |
Let u(j) = j**2. Let g(c) = -c**2 + c. Let q(d) = 23*d**2 + 6*d. Let y(w) = 6*g(w) - q(w). Determine u(y(f)).\n | 841*f**4\n | ibivibiv/math_instruct | |
Solve 0 = 3*a + 3*v, 0*v + v = -2*a - 1 for a.\n | -1\n | ibivibiv/math_instruct | |
Let g be (1/(-3))/(53/(-795)). Let c(o) be the second derivative of 1/12*o**3 + 1/40*o**6 + 0*o**2 + 3/16*o**4 - g*o + 0 + 1/8*o**5. Factor c(d).\n | d*(d + 1)*(d + 2)*(3*d + 1)/4\n | ibivibiv/math_instruct | |
Expand (-53 + 37 - 13)*(-p + 0*p + 3*p)*(4 - 9*p - 4).\n | 522*p**2\n | ibivibiv/math_instruct | |
Is 14207 a composite number?\n | False\n | ibivibiv/math_instruct | |
2 divided by -18855\n | -2/18855\n | ibivibiv/math_instruct | |
What is 5/4 of a litre in millilitres?\n | 1250\n | ibivibiv/math_instruct | |
Let g = 11 + -10. Solve -4*s + 7 + g = 0 for s.\n | 2\n | ibivibiv/math_instruct | |
Let j = 158667 - 158808.013. Round j to 0 decimal places.\n | -141\n | ibivibiv/math_instruct | |
Let q be (-21)/18*8/(-14). Sort q, 2, -2.\n | -2, q, 2\n | ibivibiv/math_instruct | |
Find the common denominator of -131/6 and 17/5282.\n | 15846\n | ibivibiv/math_instruct | |
Calculate 238/784 + 3/(-7).\n | -1/8\n | ibivibiv/math_instruct | |
List the prime factors of 2034.\n | 2, 3, 113\n | ibivibiv/math_instruct | |
Let c(u) = 4*u**2 + 122*u + 1098. Let q be c(-15). Solve w = 5*m - 12, -q*w + m = -163*w + 12 for w.\n | -2\n | ibivibiv/math_instruct | |
Expand -4*v**3 + 2*v**3 + 4*v**3 + (0*v + v + v)*(3*v**2 + v**2 - 3*v**2) + 0*v + v**3 + 0*v + 47787*v**3 - 42 + 4*v**2 + 2*v - 47785*v**3 - 8*v**2.\n | 7*v**3 - 4*v**2 + 2*v - 42\n | ibivibiv/math_instruct | |
How many minutes are there between 2:07 AM and 12:19 PM?\n | 612\n | ibivibiv/math_instruct | |
Simplify 1*(1*(sqrt(396) + 1))**2 - 1*(-3*3*(sqrt(11) + 1))**2.\n | -575 - 150*sqrt(11)\n | ibivibiv/math_instruct | |
Rearrange -q**4 - 157*q**3 + 129*q**3 + 29*q**3 - 2 - 6*q to the form i*q**2 + a*q + r*q**4 + o*q**3 + c and give a.\n | -6\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.