instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -h + 40 = 3*h. Let v(o) = -o**3 + 9*o**2 + 12*o + 13. Is v(h) a prime number?\n | False\n | ibivibiv/math_instruct | |
Which is the nearest to -2? (a) 2/15 (b) 2 (c) -0.4 (d) 1/7\n | c\n | ibivibiv/math_instruct | |
Expand (71*q**4 + 2116 - 2116)*(23*q + 27*q - 31*q).\n | 1349*q**5\n | ibivibiv/math_instruct | |
What is the derivative of -19*c*h**2 + 46176*c - 6228*h**2 wrt h?\n | -38*c*h - 12456*h\n | ibivibiv/math_instruct | |
Suppose -781*f + 8 = -773*f. Suppose -31 = 5*c - 3*i - 3, 3*c = -3*i - 12. Let k(d) = -d**2 - 5*d + 2. Let y be k(c). Put f, -5, y in ascending order.\n | -5, f, y\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 70 and 98?\n | 490\n | ibivibiv/math_instruct | |
Is 100849980937 prime?\n | False\n | ibivibiv/math_instruct | |
Product of 6 and -0.135.\n | -0.81\n | ibivibiv/math_instruct | |
Three letters picked without replacement from vtvvtotgtoti. Give prob of picking 1 g, 1 o, and 1 i.\n | 1/110\n | ibivibiv/math_instruct | |
Express (v + 0 + 0)*(0 + 3 - 1)*(102 + 31 + 50) in the form k*v + q and give k.\n | 366\n | ibivibiv/math_instruct | |
Let b(i) = i**2 - 2*i - 3. Let y be b(5). Let f = y + -11. Calculate the lowest common multiple of 11 and f.\n | 11\n | ibivibiv/math_instruct | |
-2 (base 10) to base 16\n | -2\n | ibivibiv/math_instruct | |
What is -194640 rounded to the nearest one thousand?\n | -195000\n | ibivibiv/math_instruct | |
List the prime factors of 9231324.\n | 2, 3, 821, 937\n | ibivibiv/math_instruct | |
Evaluate ((4 - 10) + 44 - -3) + -10.\n | 31\n | ibivibiv/math_instruct | |
Express n**3 - 2*n**4 + 0*n**3 + 332*n**2 - n**4 + 6 - 332*n**2 as y*n**2 + t*n + v + w*n**4 + m*n**3 and give w.\n | -3\n | ibivibiv/math_instruct | |
In base 14, what is -6d - b95?\n | -c24\n | ibivibiv/math_instruct | |
What is the nearest to 0 in 4, -1/80, 2/11, -0.4?\n | -1/80\n | ibivibiv/math_instruct | |
Find the third derivative of 29918*a**4 + 114*a**3 + 8569230*a**2 + 2.\n | 718032*a + 684\n | ibivibiv/math_instruct | |
Suppose 5*a - 4*a - 4*d + 196 = 0, d + 5 = 0. Sort -5, a, -4 in ascending order.\n | a, -5, -4\n | ibivibiv/math_instruct | |
How many nanometers are there in thirteen fifths of a micrometer?\n | 2600\n | ibivibiv/math_instruct | |
Two letters picked without replacement from wwhyqkyhhh. Give prob of sequence hk.\n | 2/45\n | ibivibiv/math_instruct | |
Find the third derivative of 19*m**6 + 3*m**4 - 4*m**2 - 6 wrt m.\n | 2280*m**3 + 72*m\n | ibivibiv/math_instruct | |
In base 5, what is 23030 - 34241011?\n | -34212431\n | ibivibiv/math_instruct | |
What is the derivative of -2*f**4*r + 1293*f**2*i + 429*i*r - 30*i + 1 wrt f?\n | -8*f**3*r + 2586*f*i\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 54 and 42.\n | 6\n | ibivibiv/math_instruct | |
Work out 359.8 + -0.020457.\n | 359.779543\n | ibivibiv/math_instruct | |
Evaluate 1*(-24)/20*10/3.\n | -4\n | ibivibiv/math_instruct | |
Solve 62807*u + 4*p + 157 = 62812*u, p = -2*p - 99 for u.\n | 5\n | ibivibiv/math_instruct | |
What is the value of 1/((-1)/6 + -1)?\n | -6/7\n | ibivibiv/math_instruct | |
b"What is the tth term of 419, 217, -9, -271, -581?\n" | -2*t**3 - 188*t + 609\n | ibivibiv/math_instruct | |
Suppose 2*i + 5 = 2*l - 157, -5*l + i + 413 = 0. Let b be l + (0/(-1))/3. Let d(y) = -b + 47 - 5*y + 41. Let m(h) = -2*h + 3. Calculate 3*d(o) - 5*m(o).\n | -5*o\n | ibivibiv/math_instruct | |
What is ((-10)/(250/15))/((-96)/40)?\n | 1/4\n | ibivibiv/math_instruct | |
Let u(n) = 3*n - 29. Let k be u(10). Suppose 3 = 4*i - 13. What is the highest common divisor of k and i?\n | 1\n | ibivibiv/math_instruct | |
Solve 4*d - 5*q = 16, 79*d - 22 = 81*d + 5*q for d.\n | -1\n | ibivibiv/math_instruct | |
Let j(q) be the third derivative of -2 - 1/50*q**5 - 1/600*q**6 - 11/120*q**4 + 14*q**2 - 1/5*q**3 + 0*q. Factor j(n).\n | -(n + 1)*(n + 2)*(n + 3)/5\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -3 (b) 0.114 (c) -2.8 (d) 2/25\n | c\n | ibivibiv/math_instruct | |
Let p(h) = -12*h**2 - 13*h - 21. What is p(-4)?\n | -161\n | ibivibiv/math_instruct | |
Let h be (-39912787)/3570 - 2/(-12). Let k = h + 11181. Find the common denominator of k and -63/40.\n | 280\n | ibivibiv/math_instruct | |
Let d = 0 - -5. Suppose 4*u - d*u = -14. Let t be (-2)/7 - (-1680004)/u. What is t rounded to the nearest 10000?\n | 120000\n | ibivibiv/math_instruct | |
Suppose -z = -20 - 40. Does 6 divide z?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of sequence no when two letters picked without replacement from {o: 17, n: 2}.\n | 17/171\n | ibivibiv/math_instruct | |
What is the nearest to -0.1 in 0.1, 40, -2/17?\n | -2/17\n | ibivibiv/math_instruct | |
Evaluate (-1484)/378*8073/598.\n | -53\n | ibivibiv/math_instruct | |
Which is the nearest to -256? (a) -256 (b) 96 (c) 0.1\n | a\n | ibivibiv/math_instruct | |
What comes next: -15665, -14039, -12411, -10781, -9149, -7515, -5879?\n | -4241\n | ibivibiv/math_instruct | |
Factor -d**2/6 + 643*d/6 - 17017.\n | -(d - 357)*(d - 286)/6\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -10018 (b) 4 (c) -1919\n | a\n | ibivibiv/math_instruct | |
Collect the terms in -5*n**3 - 6*n**3 + 8*n**3.\n | -3*n**3\n | ibivibiv/math_instruct | |
Is -408 > -447?\n | True\n | ibivibiv/math_instruct | |
Let t be (2250/126 - 11)*(-238)/4. Let c(w) = 120*w + 3. Let o be c(-2). Let k = o - t. Is k a multiple of 12?\n | False\n | ibivibiv/math_instruct | |
Rearrange -26*b - 25*b + 93*b - 29*b - 56 - 133 to x + m*b and give x.\n | -189\n | ibivibiv/math_instruct | |
What is the third derivative of -622*l**3*n**3 - 9*l**2 - l*n**3 - 6*l*n wrt l?\n | -3732*n**3\n | ibivibiv/math_instruct | |
Let 6*m**3/7 - 3219*m**2/7 + 427935*m/7 - 2059950/7 = 0. Calculate m.\n | 5, 443/2, 310\n | ibivibiv/math_instruct | |
What is 2130012223 (base 4) in base 2?\n | 10011100000110101011\n | ibivibiv/math_instruct | |
Let b = 1 + -1. Let k be (4 + (-120)/18)/(1810/45). Let g = 2764/1991 - k. Which is smaller: b or g?\n | b\n | ibivibiv/math_instruct | |
What is 149316 to the power of 1/5, to the nearest integer?\n | 11\n | ibivibiv/math_instruct | |
A cyclist traveled for two days. On the second day the cyclist traveled 3 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 280 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
Answe... | Lets think about the multi-choice question.
SOLUTION:
D = 280 Mi
T = 12 hrs
Day 1 time = T1
Day 2 time = T2
T2 - T1 = 4 hrs ----- (I)
T1 + T2 = 12 hrs ----- (II)
Adding I and II, T2 = 8 hrs and T1 = 4 hrs
Day 1 Rate = R1
Day 2 Rate = R2
R1 - R2 = 10 mph
i.e. R1 = 10 + R2
280 = 8R2 + 4R1
i.e. 280 = 8R2 + 4 (10 + R2)
i.e... | ibivibiv/math_instruct | |
Let v(c) = 2*c**2 - 2*c - 1. Suppose -4 = -0*u + u, 0 = -5*w - 4*u - 21. Let l be v(w). Let o = l + 5. Solve 0 = 3*x + x + o for x.\n | -2\n | ibivibiv/math_instruct | |
Let t = 161 - 107. List the prime factors of t.\n | 2, 3\n | ibivibiv/math_instruct | |
Suppose 5*i - 13429 = -3*m, -4*m + 0*m + 13427 = 5*i. Suppose -i = -4*q - 4*b - b, b = 3*q - 2020. Is q a prime number?\n | True\n | ibivibiv/math_instruct | |
What is the millions digit of 1892714115?\n | 2\n | ibivibiv/math_instruct | |
What are the prime factors of 15331338?\n | 2, 3, 11, 77431\n | ibivibiv/math_instruct | |
What are the prime factors of 1827?\n | 3, 7, 29\n | ibivibiv/math_instruct | |
What is the thousands digit of 4728?\n | 4\n | ibivibiv/math_instruct | |
What is the closest to 2 in 4, 14, -8, -0.2, -2/5?\n | 4\n | ibivibiv/math_instruct | |
Solve 177*j + 30 = 182*j for j.\n | 6\n | ibivibiv/math_instruct | |
What is c in 3*c**2 + 527898*c + 3167280 = 0?\n | -175960, -6\n | ibivibiv/math_instruct | |
Let c(i) be the second derivative of -i**8/1680 + i**7/630 - i**4/6 + i. Let l(a) be the third derivative of c(a). Determine t so that l(t) = 0.\n | 0, 1\n | ibivibiv/math_instruct | |
Sort -2/13, -15/19, -6 in descending order.\n | -2/13, -15/19, -6\n | ibivibiv/math_instruct | |
Find the third derivative of -334297*f**4 + 7645*f**2 + 9 wrt f.\n | -8023128*f\n | ibivibiv/math_instruct | |
What is the value of 96/4*(-10)/40*2?\n | -12\n | ibivibiv/math_instruct | |
Calculate ((-4)/(-6))/((-1)/(-3)).\n | 2\n | ibivibiv/math_instruct | |
Two letters picked without replacement from tfwfwk. Give prob of picking 1 t and 1 f.\n | 2/15\n | ibivibiv/math_instruct | |
In base 5, what is 41 - 1?\n | 40\n | ibivibiv/math_instruct | |
Let u = -94 + 468/5. Suppose -1 = 5*l + 4. What is the closest to l in 0.5, u, -2?\n | u\n | ibivibiv/math_instruct | |
Solve -11*d + 22 + 0 = 0 for d.\n | 2\n | ibivibiv/math_instruct | |
Simplify (sqrt(2736) + -3)*5 + 2.\n | -13 + 60*sqrt(19)\n | ibivibiv/math_instruct | |
List the prime factors of 49194.\n | 2, 3, 911\n | ibivibiv/math_instruct | |
Factor 3*v**3 - 8265*v**2 - 2088612*v.\n | 3*v*(v - 2988)*(v + 233)\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) -31 (b) -5 (c) 17 (d) 1\n | d\n | ibivibiv/math_instruct | |
What is 41648 divided by 2?\n | 20824\n | ibivibiv/math_instruct | |
What is the value of (-1370)/(-75) + -10*(-31)/4650?\n | 55/3\n | ibivibiv/math_instruct | |
(-57)/6 + 2 - 51/(-102)\n | -7\n | ibivibiv/math_instruct | |
Let z be -1 - 0 - (1 - 0). Let i(w) = -109*w**3 + 2*w**2 + 7*w + 7. Let q be i(z). Suppose -4*s + 995 = -q. Is s prime?\n | True\n | ibivibiv/math_instruct | |
What is b83 (base 16) in base 5?\n | 43242\n | ibivibiv/math_instruct | |
Rearrange 0*z + 8*z + 2*z + 6*z to the form r*z + c and give c.\n | 0\n | ibivibiv/math_instruct | |
Let u = 142 - 140. Let a(f) = 3*f - 2. Let c(b) = -b + 1. Let r(i) = u*a(i) + 4*c(i). Let q(t) be the third derivative of 11*t**5/60 - 2*t**2. What is r(q(h))?\n | 22*h**2\n | ibivibiv/math_instruct | |
Round -5.233709 to 2 decimal places.\n | -5.23\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 202332?\n | 0\n | ibivibiv/math_instruct | |
Product of 0.1239 and 5.439.\n | 0.6738921\n | ibivibiv/math_instruct | |
Let f = -1850 + 5479. What are the prime factors of f?\n | 19, 191\n | ibivibiv/math_instruct | |
Let j = -71 + 68. Let i = 1 - j. What is the closest to 2/11 in i, -3/4, 0?\n | 0\n | ibivibiv/math_instruct | |
Simplify u**29*u*u**(13/5)*u**(-14/11)*(u*u/(u/(u*u**(-8)*u)))/u assuming u is positive.\n | u**(1393/55)\n | ibivibiv/math_instruct | |
Which is smaller: 381823/22 or 17355?\n | 17355\n | ibivibiv/math_instruct | |
Let v(b) = -4*b**3 + 43*b**2 + 10*b - 191. Calculate v(9).\n | 466\n | ibivibiv/math_instruct | |
Let y = 5.1 + -5. Let r be 1*(-2)/36*2. Suppose -11*q + 39 = 2*q. Which is the closest to y? (a) q (b) r (c) 3/4\n | b\n | ibivibiv/math_instruct | |
List the prime factors of 5799561.\n | 3, 223, 8669\n | ibivibiv/math_instruct | |
Is 224414424 a multiple of 199?\n | False\n | ibivibiv/math_instruct | |
Let k = 380 + -361. Suppose 55*u - 3024 = k*u. What is the least common multiple of u and 102?\n | 1428\n | ibivibiv/math_instruct |
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