instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
List the prime factors of 1423377.\n | 3, 89, 1777\n | ibivibiv/math_instruct | |
Does 4 divide 1324?\n | True\n | ibivibiv/math_instruct | |
Let q(o) = o**2. Let w(l) = -18 + 36 - 18 - l. Determine q(w(g)).\n | g**2\n | ibivibiv/math_instruct | |
What is 474 minutes after 4:52 PM?\n | 12:46 AM\n | ibivibiv/math_instruct | |
Calculate the remainder when 1054 is divided by 48.\n | 46\n | ibivibiv/math_instruct | |
Let y(x) = 5141*x**4 - 5*x**2 + 70*x + 10005. Let c(r) = -2570*r**4 + 2*r**2 - 28*r - 5003. Let h(l) = 5*c(l) + 2*y(l). Find the first derivative of h(a) wrt a.\n | -10272*a**3\n | ibivibiv/math_instruct | |
What is 3509347 to the power of 1/3, to the nearest integer?\n | 152\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 927 and 234222.\n | 309\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {b: 1, i: 2, h: 2, e: 1, l: 1}. Give prob of sequence leee.\n | 0\n | ibivibiv/math_instruct | |
Let c(r) = r**2 + 8*r + 3. What are the prime factors of c(-8)?\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in 1146462*m**2 - 1146530*m**2 + 28*m - 28*m.\n | -68*m**2\n | ibivibiv/math_instruct | |
Calculate the remainder when 10543683 is divided by 3514560.\n | 3\n | ibivibiv/math_instruct | |
List the prime factors of 182691112.\n | 2, 17, 1343317\n | ibivibiv/math_instruct | |
Let d(o) = o**2 - o + 4*o**2 + 8*o**2 - 3*o**2. Calculate d(-1).\n | 11\n | ibivibiv/math_instruct | |
Let u(m) = -m**3 - 3*m**2 - 3*m - 1. Let h(c) = -2*c**3 - 5*c**2 - 7*c - 2. Let b(v) = 2*h(v) - 5*u(v). Calculate b(-5).\n | -4\n | ibivibiv/math_instruct | |
Simplify (l*l/(l*l*l**(-1/2)/l)*l*l**(-1)/l)**2 assuming l is positive.\n | l\n | ibivibiv/math_instruct | |
Simplify ((5 + 1 + (sqrt(363) - (2 + sqrt(363)*-2)))*-4)**2.\n | 4224*sqrt(3) + 52528\n | ibivibiv/math_instruct | |
Evaluate (6/(-2))/(17892/87472).\n | -44/3\n | ibivibiv/math_instruct | |
Solve 3*u - 3 = 3 for u.\n | 2\n | ibivibiv/math_instruct | |
Is 89442635179 prime?\n | True\n | ibivibiv/math_instruct | |
Suppose -7788 = 14*r - 3*r. Let c be (5/6)/((-20)/r). Suppose 0 = 2*s - 6*s + 4, 5*w - 4*s - 146 = 0. Which is smaller: w or c?\n | c\n | ibivibiv/math_instruct | |
Expand -o**4 - 2*o**4 + 2*o**4 + (29*o**3 - o**3 - 5*o**3)*(0 + o + 0).\n | 22*o**4\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 26 and 13?\n | 26\n | ibivibiv/math_instruct | |
Let o(y) be the second derivative of y**4/12 - 11*y**3/6 + 13*y**2/2 + 5*y. What is the remainder when o(10) is divided by 2?\n | 1\n | ibivibiv/math_instruct | |
Which is the closest to 5? (a) -0.4 (b) -6 (c) -4\n | a\n | ibivibiv/math_instruct | |
Is 2275 a multiple of 14?\n | False\n | ibivibiv/math_instruct | |
Suppose -2 = w, 4*i - 2*w - 2*w = 18436. Is i a composite number?\n | True\n | ibivibiv/math_instruct | |
Evaluate -2 + (-3 + 2 - 3) + 2.\n | -4\n | ibivibiv/math_instruct | |
Let y(d) = 2*d**3 + 8*d**2 - d + 1. Let c(h) = -2*h**3 + 92*h**2 - h + 47. Let f be c(46). Let a be -4 + 1 - (f + -2)*-1. Determine y(a).\n | 5\n | ibivibiv/math_instruct | |
Let j(s) be the third derivative of s**6/220 - s**5/330 + 19*s**2. Factor j(h).\n | 2*h**2*(3*h - 1)/11\n | ibivibiv/math_instruct | |
Let o(j) = -j**2 - 10*j - 7. Let u be o(-8). Solve q + w + u = 0, q - w = -4*q - 21 for q.\n | -5\n | ibivibiv/math_instruct | |
Let f(d) = -50*d. Let y(h) = -25*h. Let b(o) = 6*f(o) - 13*y(o). Let k(v) = 13*v**2. Determine k(b(p)).\n | 8125*p**2\n | ibivibiv/math_instruct | |
What is -782 take away -0.3?\n | -781.7\n | ibivibiv/math_instruct | |
b"What is the zth term of 77480, 150558, 223636, 296714, 369792, 442870?\n" | 73078*z + 4402\n | ibivibiv/math_instruct | |
Which is the nearest to 2? (a) 0.4 (b) -4 (c) 9 (d) -8/13\n | a\n | ibivibiv/math_instruct | |
Suppose -5*f + 16209 = -3*d, d = -5*f - 3575 - 1848. Let b = d + 708. What is b rounded to the nearest 1000?\n | -5000\n | ibivibiv/math_instruct | |
Suppose -4*z + 101 = b, -10 = 2*z + 4*b - 64. Calculate the remainder when 32 is divided by z.\n | 7\n | ibivibiv/math_instruct | |
Collect the terms in -2*v**2 - 11*v - v**2 + 5*v**2 - 11*v.\n | 2*v**2 - 22*v\n | ibivibiv/math_instruct | |
Suppose 4*f - 21 + 133 = 0. Let t = -18 - f. Suppose 204 - 96 = 3*v + 99. Solve v*r + 5 = -t for r.\n | -5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ujuzrrjjzjzyyurz. What is prob of sequence uz?\n | 1/20\n | ibivibiv/math_instruct | |
Divide 0 by 60277.\n | 0\n | ibivibiv/math_instruct | |
What is the product of -0.1 and -5.828?\n | 0.5828\n | ibivibiv/math_instruct | |
Which is the nearest to -0.1? (a) 0.1 (b) -0.5 (c) -2/15 (d) -1/8\n | d\n | ibivibiv/math_instruct | |
Expand -7*g**3 - 4*g**4 + 7*g**3 + 4*g**2 - 4*g**2 + g**4 + (3*g + 2*g - 7*g)*(-3 + 2*g**3 + 3) + 1 - 1 + g**4 + 2*g**3 - 2*g**3 - 2*g**4 - g**2 + g**2 + g**4.\n | -7*g**4\n | ibivibiv/math_instruct | |
What is the value of ((-18)/(-4))/((-660)/2310*(-7)/8)?\n | 18\n | ibivibiv/math_instruct | |
Determine p, given that -5*p**4 - 1225*p**3 + 11375*p**2 - 14075*p - 26670 = 0.\n | -254, -1, 3, 7\n | ibivibiv/math_instruct | |
Is 405803 prime?\n | False\n | ibivibiv/math_instruct | |
Simplify (((sqrt(153) + 0 + 5 - sqrt(153))*5)**2 + -1)*-1.\n | -624\n | ibivibiv/math_instruct | |
Product of -0.4809 and -5.\n | 2.4045\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {m: 1, w: 1, t: 2}. What is prob of picking 1 w, 1 t, and 1 m?\n | 1/2\n | ibivibiv/math_instruct | |
Solve -1416 = -5*i - 5*v - 1401, 3*v + 51 = 9*i for i.\n | 5\n | ibivibiv/math_instruct | |
Find the common denominator of 73/15990 and 68/1235.\n | 303810\n | ibivibiv/math_instruct | |
Is 16626 a multiple of 51?\n | True\n | ibivibiv/math_instruct | |
Let w = -48 - -43. Suppose -r = -a + 3, 2*a - 5 = 5*r - 4*r. What is the units digit of ((-8)/(1 + w))/(a/118)?\n | 8\n | ibivibiv/math_instruct | |
Is 453 a factor of 875431?\n | False\n | ibivibiv/math_instruct | |
Let l(d) = d**3 + 8*d**2 + 7*d + 2. Let x be l(-6). Suppose r - 2*s + 9 = 0, -3*r - 63 = -0*r + 3*s. Let i = r + x. Is i a composite number?\n | True\n | ibivibiv/math_instruct | |
Rearrange 3 - 3750*j**3 + 1 + 3*j + 4*j**2 + 3751*j**3 to h*j**3 + w*j + q + d*j**2 and give d.\n | 4\n | ibivibiv/math_instruct | |
Solve 0 = -d - 4*l + 10, 0 = -22238*l + 22244*l - 14 + 2 for d.\n | 2\n | ibivibiv/math_instruct | |
Suppose h + 19 = -5*g, -57 = -3*h - 3*g - 54. Calculate the highest common divisor of 858 and h.\n | 6\n | ibivibiv/math_instruct | |
b"What is the pth term of -1383271, -2766541, -4149811?\n" | -1383270*p - 1\n | ibivibiv/math_instruct | |
Simplify ((l*l**3*l)**(15/8)/(l**(-3/4)/(l*(l/(l/(l/l**(7/5))))/l)))**15 assuming l is positive.\n | l**(1167/8)\n | ibivibiv/math_instruct | |
Rearrange (1 + 2*o**3 + 2*o**2 + 10*o**3 - 9*o**3)*(-9*o - 9*o + 6*o) + (-95 + 95 + 29*o**3)*(3*o - 2*o + 0*o) to l*o + j*o**4 + q*o**2 + g + t*o**3 and give j.\n | -7\n | ibivibiv/math_instruct | |
What is the value of ((757/7570)/((-1)/(-5) - 0))/(-2)?\n | -1/4\n | ibivibiv/math_instruct | |
Suppose -2*u = 2*u - 88. Suppose -4*j - 5 + 93 = 0. What is the least common multiple of u and j?\n | 22\n | ibivibiv/math_instruct | |
Let a(x) = 2*x**2. Let k(d) = -116*d**2 - 324*d + 269*d + 53*d. Determine k(a(q)).\n | -464*q**4 - 4*q**2\n | ibivibiv/math_instruct | |
Evaluate -2 + -2 + -20 + 23.\n | -1\n | ibivibiv/math_instruct | |
Let g = 4 + 18. Let l be (-214)/14 - g/(-77). Let s = -9 - l. Solve -4*i + s*i - 6 = 0 for i.\n | 3\n | ibivibiv/math_instruct | |
Suppose 0*h - 12 = -4*h. Let d(g) be the second derivative of -3/20*g**5 + 0 - 4*g**h + 6*g**2 + 5/4*g**4 - g. Suppose d(n) = 0. What is n?\n | 1, 2\n | ibivibiv/math_instruct | |
Let w(z) = -z**2 + 20*z. Give w(22).\n | -44\n | ibivibiv/math_instruct | |
Simplify (2*((sqrt(6)/sqrt(3))**2 + sqrt(2)) + sqrt(8)/sqrt(4)*-4 + sqrt(2))*-6.\n | -24 + 6*sqrt(2)\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 4 (b) 2 (c) -3/7 (d) 1\n | c\n | ibivibiv/math_instruct | |
Let m(b) = b - 6. Let f be m(3). Calculate the least common multiple of 8 and f*2*33/(-18).\n | 88\n | ibivibiv/math_instruct | |
Let c(w) = w + 1. Let u(q) = -4*q - 5. Let b(k) = -15*c(k) - 3*u(k). Let z(o) = o. Calculate z(b(v)).\n | -3*v\n | ibivibiv/math_instruct | |
Let x(w) = -w**3 - 2*w**2 - w + 50. Let d be x(0). Suppose -c = 4*c - d. What is the lowest common multiple of c and 12?\n | 60\n | ibivibiv/math_instruct | |
Are 2/25473 and -1 equal?\n | False\n | ibivibiv/math_instruct | |
What is the difference between 267.081 and -1?\n | 268.081\n | ibivibiv/math_instruct | |
Sort 10, 2, 5, 98, -14 in increasing order.\n | -14, 2, 5, 10, 98\n | ibivibiv/math_instruct | |
Ron and Kathy are ticket-sellers , Ron handling student tickets that sell for 2.00 dollars each and Kathy selling adult tickets for 4.50 dollars each. If their total income for 20 tickets was 60.00 dollars , how many did Ron sell? | Let's denote the number of student tickets sold by Ron as \( R \) and the number of adult tickets sold by Kathy as \( K \). We have two pieces of information that will help us set up a system of equations:
1. The total number of tickets sold by Ron and Kathy is 20.
2. The total income from selling these tickets is $60... | ibivibiv/math_instruct | |
Add together 5.8736 and 2.\n | 7.8736\n | ibivibiv/math_instruct | |
Suppose -3*g - 55 = -64. Calculate the highest common factor of 15 and g.\n | 3\n | ibivibiv/math_instruct | |
Convert 0.5065822ng to milligrams.\n | 0.0000005065822\n | ibivibiv/math_instruct | |
Let n(v) be the second derivative of v**6/90 + 7*v**5/30 + 2*v**4 - 31*v**3/3 + 12*v. Let r(b) be the second derivative of n(b). Factor r(f).\n | 4*(f + 3)*(f + 4)\n | ibivibiv/math_instruct | |
Suppose -3096 = -5*f + 3*w, -f + w + 630 = 4*w. Calculate the greatest common divisor of 27 and f.\n | 27\n | ibivibiv/math_instruct | |
Find the first derivative of -138328*w - 22170 wrt w.\n | -138328\n | ibivibiv/math_instruct | |
What is the product of 16 and 11.6?\n | 185.6\n | ibivibiv/math_instruct | |
Solve -348 - 1036 = 30*n - 424 for n.\n | -32\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) 64 (b) -2 (c) -0.06\n | c\n | ibivibiv/math_instruct | |
What is (-8 - (-17 - -1)) + 0?\n | 8\n | ibivibiv/math_instruct | |
b"What is the nth term of 0, 9, 28, 63, 120, 205?\n" | n**3 - n**2 + 5*n - 5\n | ibivibiv/math_instruct | |
b"What is the th term of -39, -14, 47, 162, 349, 626?\n" | 3*b**3 + 4*b - 46\n | ibivibiv/math_instruct | |
What is the common denominator of 37/32 and 55/8?\n | 32\n | ibivibiv/math_instruct | |
Does 62 divide 86157246?\n | True\n | ibivibiv/math_instruct | |
What is three eighths of a microsecond in nanoseconds?\n | 375\n | ibivibiv/math_instruct | |
Collect the terms in 43708*i**3 + 330*i**2 - 43812*i**3 - 330*i**2.\n | -104*i**3\n | ibivibiv/math_instruct | |
Let c(w) = -33*w - 41. Give c(-3).\n | 58\n | ibivibiv/math_instruct | |
Suppose -17 = -4*t - f, 0 = -2*t - 3*f + 9 + 2. Let b(k) = -k**3 + 4*k**2 + 3*k - 9. Let i be b(t). Suppose 0*n - i*n = -0*n. Are n and 27 unequal?\n | True\n | ibivibiv/math_instruct | |
Let p = -352 + 589. Suppose 5*a - a - 8 = 0. Suppose a*z - p = -z. Is z composite?\n | False\n | ibivibiv/math_instruct | |
Let b(a) be the third derivative of 0*a**6 - 1/15*a**5 + 1/210*a**7 + 0 + 4*a**2 + 0*a + 0*a**3 + 0*a**4. What is the third derivative of b(j) wrt j?\n | 24*j\n | ibivibiv/math_instruct | |
Let w(z) = -3*z**3 + 9*z**2 + 113*z - 661. What is w(6)?\n | -307\n | ibivibiv/math_instruct | |
Andy and Bob went to the canteen to buy snacks. They spent the same amount. Andy bought a can of soda at $1 and two hamburgers at $2 each. Bob ordered two sandwiches for $3 and a can of fruit drink. How much did Bos fruit drink cost? | Andy spent $1 for a can of soda and $2 x 2 = $4 for two hamburgers.
In total, Andy spent $1 + $4 = $5.
Bob spent $3 for two sandwiches.
Since Andy and Bob spent the same amount, Bos fruit drink must have cost $5 - $3 = $2.
So, Bos fruit drink cost $2.
#### 2
The answer is: 2 | ibivibiv/math_instruct |
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