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stringlengths 12
178
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stringclasses 8
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stringclasses 56
values |
|---|---|---|
Let q(d) = 2*d**3 + 11*d**2 + 2*d - 4. What is q(-5)?
11
|
polynomials
|
evaluate
|
Let s(r) = r + 15. Calculate s(11).
26
|
polynomials
|
evaluate
|
Let n(i) = 3*i**2 - 17*i + 15. Determine n(5).
5
|
polynomials
|
evaluate
|
Let l(n) = 10*n + 46. Give l(-6).
-14
|
polynomials
|
evaluate
|
Let g(d) = -d**2 - 2*d + 2. Calculate g(-4).
-6
|
polynomials
|
evaluate
|
Let x(n) = n + 18. What is x(-14)?
4
|
polynomials
|
evaluate
|
Let z(c) = 5*c. What is z(-4)?
-20
|
polynomials
|
evaluate
|
Let d(j) = j**2 - 10*j - 7. Determine d(12).
17
|
polynomials
|
evaluate
|
Let m(c) = -c**3 + 10*c**2 - 5*c - 37. What is m(9)?
-1
|
polynomials
|
evaluate
|
Let j(l) = -l**3 + 17*l**2 + 19*l - 11. What is j(18)?
7
|
polynomials
|
evaluate
|
Let z(m) = -m**2 + m + 3. Let h = -37 + 25. Let f be ((-2)/(-6))/(2/h). Calculate z(f).
-3
|
polynomials
|
evaluate_composed
|
Let t(b) = -b**2 - 6*b**3 - 5*b**2 + 5*b**3 + 4 - b. Give t(-6).
10
|
polynomials
|
evaluate_composed
|
Let c(q) = 17*q**2 + 27*q - 3. Let y(p) = -8*p**2 - 13*p + 1. Let u(b) = 6*c(b) + 13*y(b). Determine u(-4).
-9
|
polynomials
|
evaluate_composed
|
Let p(w) = -7 + w**3 + 0*w**2 + 3*w**2 + 2 - 6*w. Calculate p(-4).
3
|
polynomials
|
evaluate_composed
|
Let g(l) = l**2 + 11*l + 10. Let q(v) = v + 1. Let c(f) = g(f) - 5*q(f). What is c(-6)?
5
|
polynomials
|
evaluate_composed
|
Let y be 5*1*12/10. Let p be ((-5)/4)/(2/(-8)). Let f(i) = 2*i + y - p*i + 2*i. What is f(5)?
1
|
polynomials
|
evaluate_composed
|
Let b(w) = 11 - w. Let c = 1 + 4. What is b(c)?
6
|
polynomials
|
evaluate_composed
|
Let c(g) = 2*g + 4. Suppose -4*i + 9*i = -20. Let x be c(i). Let l(b) = -b**2 - 2*b + 2. Determine l(x).
-6
|
polynomials
|
evaluate_composed
|
Let k be 27/15*30/9. Let z(g) = g**2 - 5*g - 9. Let l be z(k). Let u(x) = -x**2 - 3*x + 2. Determine u(l).
2
|
polynomials
|
evaluate_composed
|
Let p be (-12 + 2)/(-4 + 6). Let r(x) = x**2 + 2*x + 6. Give r(p).
21
|
polynomials
|
evaluate_composed
|
Expand (0 + a + 0)*(0*a + 5*a - 3*a) - a**2 - 8*a + 8*a + 0*a**2 - a**2 + 2*a**2.
2*a**2
|
polynomials
|
expand
|
Expand 9*d**2 + 10*d**2 - 16*d**2 + (3 - 2 - 2)*(3*d - d**2 - 3*d).
4*d**2
|
polynomials
|
expand
|
Expand (-3*d**4 + d**4 + d**4)*(2*d + 3*d - 3*d) + d**5 + 3*d**5 - 3*d**5.
-d**5
|
polynomials
|
expand
|
Expand (5*u - 9*u + 7*u + 2)*(3*u**3 - 3*u**3 + 4*u**3).
12*u**4 + 8*u**3
|
polynomials
|
expand
|
Expand (0 + 1 - 4)*(-6*q**2 + 12*q**2 + 2*q**2) + q - q + q**2.
-23*q**2
|
polynomials
|
expand
|
Expand (3*k**4 + 3*k - 3*k)*(2*k - 2*k + 3*k).
9*k**5
|
polynomials
|
expand
|
Expand -3*n + 2*n + 4*n + (-5 + 5 - 2*n)*(-3 - 1 + 5).
n
|
polynomials
|
expand
|
Expand (-2 + 4 + 0)*(-30*y + 23*y + 13*y).
12*y
|
polynomials
|
expand
|
Expand 5*l**3 - l**3 - 5*l**3 + (3*l + 2*l - 4*l)*(3*l - 3*l + 2*l**2) + (4 - 2*l - 4)*(2 + 2*l**2 - 2).
-3*l**3
|
polynomials
|
expand
|
Expand (x + x + 0*x)*(2*x**2 - x**2 - 2*x**2 + (-3 + 3 + x)*(-x + 4*x - 4*x)).
-4*x**3
|
polynomials
|
expand
|
Simplify (v**(-27)*v)**(-25) assuming v is positive.
v**650
|
polynomials
|
simplify_power
|
Simplify s*s*((s**28*s)/s)/s*s*s**(-19/4) assuming s is positive.
s**(101/4)
|
polynomials
|
simplify_power
|
Simplify k**(1/16)*k/k**(-1/63) assuming k is positive.
k**(1087/1008)
|
polynomials
|
simplify_power
|
Simplify (j**(-1/4))**(-1)/(j**0*j)**38 assuming j is positive.
j**(-151/4)
|
polynomials
|
simplify_power
|
Simplify i*((i**6*i*i)/i)/i*i*i/i**(-9) assuming i is positive.
i**18
|
polynomials
|
simplify_power
|
Simplify q/(q*q**4*q)*q/(q/(q**14*q)*q) assuming q is positive.
q**9
|
polynomials
|
simplify_power
|
Simplify ((w/(w/w**(-20)))/w)/(w*w**(-3/2)) assuming w is positive.
w**(-41/2)
|
polynomials
|
simplify_power
|
Simplify (v/v**1*v/v**(1/4))/((v/v**(-6))/(v*(v*v*v/(v/v**(-2))*v)/v)) assuming v is positive.
v**(-21/4)
|
polynomials
|
simplify_power
|
Simplify ((u**(1/8)/u*u)/u*(u/u**(-1/3)*u)/u*u)**(-5/2) assuming u is positive.
u**(-175/48)
|
polynomials
|
simplify_power
|
Simplify l/(l**23*l)*l*l**(-20) assuming l is positive.
l**(-42)
|
polynomials
|
simplify_power
|
Two letters picked without replacement from {k: 2, j: 1, m: 1, w: 1}. What is prob of picking 1 w and 1 j?
1/10
|
probability
|
swr_p_level_set
|
Three letters picked without replacement from oojujoooooozdooz. What is prob of picking 2 z and 1 u?
1/560
|
probability
|
swr_p_level_set
|
Two letters picked without replacement from {l: 2, f: 1, o: 1, j: 5, k: 8}. Give prob of picking 1 o and 1 j.
5/136
|
probability
|
swr_p_level_set
|
What is prob of picking 1 t and 1 r when two letters picked without replacement from ccclrjjtcljz?
1/66
|
probability
|
swr_p_level_set
|
Two letters picked without replacement from uga. What is prob of picking 1 u and 1 a?
1/3
|
probability
|
swr_p_level_set
|
What is prob of picking 1 s and 1 b when two letters picked without replacement from {n: 1, b: 6, q: 2, s: 2}?
12/55
|
probability
|
swr_p_level_set
|
What is prob of picking 2 z and 2 p when four letters picked without replacement from zpzpzzzpzzz?
14/55
|
probability
|
swr_p_level_set
|
Three letters picked without replacement from {b: 1, j: 2, o: 2, v: 2, k: 1, f: 1}. Give prob of picking 2 j and 1 v.
1/42
|
probability
|
swr_p_level_set
|
Two letters picked without replacement from {m: 3, q: 4, w: 1, o: 5, b: 5}. What is prob of picking 1 b and 1 w?
5/153
|
probability
|
swr_p_level_set
|
Two letters picked without replacement from yddzdaddzddyzddpdd. What is prob of picking 1 a and 1 y?
2/153
|
probability
|
swr_p_level_set
|
Calculate prob of sequence ux when two letters picked without replacement from {x: 3, u: 13}.
13/80
|
probability
|
swr_p_sequence
|
Three letters picked without replacement from jmvvkmgkx. What is prob of sequence jkg?
1/252
|
probability
|
swr_p_sequence
|
Calculate prob of sequence cak when three letters picked without replacement from ckaaa.
1/20
|
probability
|
swr_p_sequence
|
Calculate prob of sequence qees when four letters picked without replacement from {e: 7, j: 1, q: 1, s: 1, v: 5}.
1/780
|
probability
|
swr_p_sequence
|
What is prob of sequence pz when two letters picked without replacement from yzpyjypjjpjyyyyjyy?
1/102
|
probability
|
swr_p_sequence
|
Three letters picked without replacement from {n: 4, p: 2, x: 8, f: 1, b: 1, y: 4}. Give prob of sequence fxb.
1/855
|
probability
|
swr_p_sequence
|
What is prob of sequence enw when three letters picked without replacement from {n: 1, w: 1, e: 1, l: 1, i: 1}?
1/60
|
probability
|
swr_p_sequence
|
Calculate prob of sequence uu when two letters picked without replacement from {u: 4, k: 5, s: 3}.
1/11
|
probability
|
swr_p_sequence
|
Two letters picked without replacement from gnngxxyginxggfgxiy. What is prob of sequence yx?
4/153
|
probability
|
swr_p_sequence
|
Four letters picked without replacement from {c: 4, h: 1, y: 1, w: 2, v: 2, p: 5}. Give prob of sequence yvph.
1/3276
|
probability
|
swr_p_sequence
|
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