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Let k be 91/26*(16/(-14) - -2). Factor 4/9*y**2 - 4/9 - 2/9*y + 2/9*y**k.
2*(y - 1)*(y + 1)*(y + 2)/9
Determine v so that -4/9*v**3 + 0 + 16/9*v + 0*v**2 = 0.
-2, 0, 2
Let q be 44/165*(-2)/(-4). Let t(k) be the first derivative of -q*k**3 - 5 + 1/5*k**6 - 1/2*k**4 + 2/25*k**5 + 0*k + 2/5*k**2. Let t(v) = 0. What is v?
-1, 0, 2/3, 1
Find u, given that -578/7 - 31/7*u**3 - 1/7*u**4 - 27*u**2 + 799/7*u = 0.
-17, 1, 2
Let z(v) = 24*v**2 - 650*v + 57. Let u be z(27). Let b = -156 - -1718/11. Solve b*y + 2/11*y**2 - 2/11*y**4 - 2/11*y**u + 0 = 0 for y.
-1, 0, 1
Let z(x) = -x**2 + x. Let l(u) = -u**2 + 15*u + 30. Let w(i) = -l(i) + 2*z(i). Suppose w(j) = 0. Calculate j.
-10, -3
Let g(b) be the first derivative of b**6/9 + 8*b**5/15 + 5*b**4/6 + 4*b**3/9 + 950. Solve g(c) = 0.
-2, -1, 0
Let d(s) be the second derivative of -1/7*s**2 - 1/84*s**4 + 14*s + 0 - 1/14*s**3. Find g, given that d(g) = 0.
-2, -1
Let b(w) be the first derivative of -w**7/420 - w**6/180 - 2*w**3/3 + 9. Let g(c) be the third derivative of b(c). Factor g(y).
-2*y**2*(y + 1)
Let g(d) be the second derivative of -d**6/15 + 84*d**5/5 - 1764*d**4 + 98784*d**3 - 3111696*d**2 - 2*d + 2. Factor g(q).
-2*(q - 42)**4
Factor -180/7*i**3 + 122/7*i**2 + 50/7*i**4 + 72/7*i + 8/7.
2*(i - 2)**2*(5*i + 1)**2/7
Let d(s) = 4*s**3 - 2*s**2 + s + 1. Let q be d(1). Suppose q*n + n = 25. What is i in 0*i**3 - 3/5*i + 0 - 6/5*i**2 + 3/5*i**n + 6/5*i**4 = 0?
-1, 0, 1
Factor 11610/7*m**2 - 364500/7 + 2/7*m**4 - 38*m**3 - 157950/7*m.
2*(m - 45)**3*(m + 2)/7
Let x(c) be the second derivative of c**4/42 - 104*c**3/21 + 2704*c**2/7 + 358*c. Factor x(i).
2*(i - 52)**2/7
Let x(m) be the second derivative of 7*m**6/6 - 83*m**5/2 + 445*m**4/4 - 160*m**3/3 - 110*m**2 - 418*m. Determine d, given that x(d) = 0.
-2/7, 1, 22
Factor 2/11*h**2 - 10/11*h + 0.
2*h*(h - 5)/11
Let g be 161/42 + (-5 + 4 - 6/4). Find n, given that 28/3*n - g*n**3 + 8/3*n**2 + 16/3 = 0.
-1, 4
Suppose 177*s - 866 + 335 = 0. Suppose -24/5*t + 8/5 + 2/5*t**4 - 12/5*t**s + 26/5*t**2 = 0. Calculate t.
1, 2
Suppose 26 - 14 = 4*p. Factor 3*z + 2*z**2 + p*z + 2*z.
2*z*(z + 4)
Let t = 65 - 59. Let s(o) = 3*o - 18. Let k be s(t). Factor 0*c**2 - 4/3*c**3 + 0*c - 2/3*c**4 + 2*c**5 + k.
2*c**3*(c - 1)*(3*c + 2)/3
Let l(j) be the third derivative of -j**7/1155 + j**6/330 + j**5/330 - j**4/66 + 222*j**2. Suppose l(o) = 0. What is o?
-1, 0, 1, 2
Let o = -1852 + 1862. Let a(t) be the second derivative of -o*t + 0 - 1/33*t**3 + 1/110*t**5 - 1/66*t**4 + 1/11*t**2. Factor a(s).
2*(s - 1)**2*(s + 1)/11
Let a(w) be the second derivative of -w**5/80 - 7*w**4/24 - 5*w**3/3 - 925*w. Factor a(k).
-k*(k + 4)*(k + 10)/4
Let r(w) be the second derivative of w**4/6 + w**3/3 - 125*w - 1. Factor r(p).
2*p*(p + 1)
Let y(g) be the first derivative of -g**6/216 + g**5/540 + 5*g**4/216 - g**3/54 - 21*g**2/2 + 8. Let c(l) be the second derivative of y(l). Factor c(b).
-(b - 1)*(b + 1)*(5*b - 1)/9
Factor 1/10*t**2 + 1458/5 - 54/5*t.
(t - 54)**2/10
Let v = -10853/85 - -2208/17. Factor 0 + v*q + 1/5*q**2.
q*(q + 11)/5
Let 9 + 27/4*c**2 - 15*c - 3/4*c**3 = 0. What is c?
1, 2, 6
Let s = -26085/4 + 6523. Determine g so that -7/4*g**2 + s - 1/4*g + 1/4*g**3 = 0.
-1, 1, 7
Factor 23*p**4 + 49*p**4 + 10 + 15*p - 408*p**3 + 21*p + 72*p + 218*p**2.
2*(p - 5)*(p - 1)*(6*p + 1)**2
Solve -2*h**3 + 3*h**2 + 12*h + 11 + h**2 - 27 + 2*h**2 = 0 for h.
-2, 1, 4
Let o be (1/(-3))/(5 - 14/3). Let y be (40/15)/(-4)*o. Solve -4/9*n**2 - 2/9*n**3 + 0 + 0*n + y*n**4 = 0 for n.
-2/3, 0, 1
Suppose 19*g = 8*g + 121. Let -8*a**2 + a**3 + g*a**3 + 4*a + 24*a**2 = 0. What is a?
-1, -1/3, 0
Let -24*m + 37*m**3 - 124*m**3 - 44*m**2 + 63*m**3 - 4 = 0. Calculate m.
-1, -1/2, -1/3
Let d be (4 - 7) + (-111)/(-24). Let j = -49/40 + d. Suppose -2/5*y + 6/5*y**2 + 0 - 6/5*y**3 + j*y**4 = 0. What is y?
0, 1
Let h(c) be the third derivative of 0*c**3 - 1/90*c**5 + 1/18*c**4 + c**2 + 0*c + 0. Factor h(d).
-2*d*(d - 2)/3
Suppose 3*s - 88 = 11*s. Let g = s + 23/2. Factor 0 - g*b + 1/2*b**2.
b*(b - 1)/2
Determine l, given that 0 + l - 1/2*l**2 = 0.
0, 2
Let z be (-10)/((-130)/39) + -19*(-1)/(-7). Find y such that 0 - 6/7*y**3 + z*y + 4/7*y**2 = 0.
-1/3, 0, 1
Let k = 5 + -14. Let x be -1 + 2 + 8 + k. Factor -2/3*i**2 + 0*i + x.
-2*i**2/3
Let a(p) be the third derivative of -p**8/1344 + 5*p**7/168 - p**6/3 + 11*p**5/6 - 35*p**4/6 + 34*p**3/3 + 130*p**2 + p. Factor a(f).
-(f - 17)*(f - 2)**4/4
Suppose 224 = -4*z - 4*b, 7*z - 2*b + 218 = 3*z. Let q = 126 + z. Determine p, given that -2*p**3 + 5*p**3 - 3*p + 68*p**4 + 3*p**2 - q*p**4 = 0.
-1, 0, 1
Let z(k) be the third derivative of k**6/120 + 7*k**5/15 - 29*k**4/24 + 490*k**2. Solve z(g) = 0 for g.
-29, 0, 1
Let o(v) be the third derivative of -125*v**8/336 - 5*v**7/42 + 47*v**6/8 - 179*v**5/12 + 50*v**4/3 - 10*v**3 - 67*v**2. Solve o(c) = 0.
-3, 2/5, 1
Factor 56*p**3 + 3*p**3 - p**4 + 37*p**3 + 121*p**2 - p**4 - 307*p**2 + 92*p.
-2*p*(p - 46)*(p - 1)**2
Let a(i) = i**2 + 10*i + 24. Let x = -245 - -238. Let r be a(x). Factor 0 - 2/11*h**4 + 0*h - 8/11*h**2 + 8/11*h**r.
-2*h**2*(h - 2)**2/11
Let d(k) = -10*k**3 + 10*k**2 + 58*k - 144. Let m(x) = 13*x**3 - 11*x**2 - 57*x + 144. Let v(p) = -3*d(p) - 2*m(p). Factor v(j).
4*(j - 3)**2*(j + 4)
Let u(w) = 43*w - 215. Let j be u(5). Factor 2/5*y**2 - 1/5*y**3 - 1/5*y + j.
-y*(y - 1)**2/5
Suppose 16/5*i**3 - 12/5*i**4 + 0 - 4/5*i**5 + 0*i + 0*i**2 = 0. What is i?
-4, 0, 1
Suppose 0 = -7*n + 21. Let q be n - 1 - (-2 - -2)/3. Solve 2/5*j - 1/5*j**4 + j**q + 0 - 1/5*j**5 + 3/5*j**3 = 0 for j.
-1, 0, 2
Let s(c) be the first derivative of c**3/9 - 209*c**2/3 + 43681*c/3 - 647. Solve s(t) = 0.
209
Let o = 2473/8 - 308. Let m(d) be the first derivative of -7/8*d**4 - 1/24*d**6 + 4/3*d**3 - 5 + 3/10*d**5 + 1/2*d - o*d**2. Factor m(a).
-(a - 2)*(a - 1)**4/4
Let v = 2053 - 2051. Let p(x) be the first derivative of -9 - 3/5*x - 1/2*x**v + 2/15*x**3. Find i, given that p(i) = 0.
-1/2, 3
Factor 2/11*h**4 + 4/11*h - 6/11*h**2 + 0*h**3 + 0.
2*h*(h - 1)**2*(h + 2)/11
Let s be 4/(-3) + 1 + 32/6. Solve -9*l + 20*l - 7*l**2 + 1 - 5*l**3 + s - 5*l**2 = 0.
-3, -2/5, 1
Let b be 1589/6129 - 4/(-54). Factor -g + b*g**2 + 0.
g*(g - 3)/3
Suppose 0*v + 25 = 5*v. Suppose 3*f - 17 = -k, -v*k - 4*f = -16 - 25. Factor 3*i - k*i + 2*i**4 + 1 + 2*i**3 + 0*i**4 - 3*i**4.
-(i - 1)**3*(i + 1)
Let z(x) be the first derivative of x**3/3 - x**2/2 - 3*x + 4. Let g be z(-2). Suppose -12*h**2 + 4*h - g*h - 15*h**2 + 19*h**2 + 2 + 5*h**3 = 0. Calculate h.
-2/5, 1
Let c = -31 - -31. Let o(j) be the third derivative of c + 5/8*j**4 - 1/8*j**6 + j**3 - 1/10*j**5 + j**2 + 0*j. Factor o(s).
-3*(s - 1)*(s + 1)*(5*s + 2)
Let f(z) be the second derivative of -z**8/1008 - 2*z**7/315 - z**6/72 - z**5/90 + 6*z**2 + 18*z. Let g(i) be the first derivative of f(i). Factor g(w).
-w**2*(w + 1)**2*(w + 2)/3
Let z = 77/20 - 15/4. Let a(r) be the second derivative of -r + z*r**6 + 0 + 0*r**3 - 1/42*r**7 + 1/12*r**4 + 0*r**2 - 3/20*r**5. Factor a(p).
-p**2*(p - 1)**3
Factor 75 + 48/5*y**3 + 54*y**2 + 3/5*y**4 + 120*y.
3*(y + 1)*(y + 5)**3/5
Let k(f) = -3*f + 14. Let p be k(6). Let c(a) = a + 6. Let t be c(p). Determine d so that 2*d**2 + 0*d - 7*d**2 + 2*d**3 + 3*d**2 - t*d + 2*d**4 = 0.
-1, 0, 1
Let y(z) be the first derivative of -z**4/114 + 4*z**3/57 - 3*z**2/19 - 9*z + 9. Let u(p) be the first derivative of y(p). Factor u(l).
-2*(l - 3)*(l - 1)/19
Let p(c) = -4*c**2 - 18*c + 2. Let j(x) = -4*x**2 - 17*x + 3. Let r = 130 - 132. Let q(f) = r*j(f) + 3*p(f). Factor q(h).
-4*h*(h + 5)
Let l(z) be the third derivative of 0*z + 1/24*z**4 + 12*z**2 + 0 + 0*z**3 + 1/180*z**5. Factor l(r).
r*(r + 3)/3
Suppose -4*k = -5*d - 1, 0 = 5*k + 3*d - 9 - 20. Let w be (-17)/(-8) - (-11 - 178/(-16)). Find q such that 0 + 3/2*q - 3/2*q**3 + 3/2*q**w - 3/2*q**k = 0.
-1, 0, 1
Let t(l) be the first derivative of 21 + 25*l - 15*l**2 + 5/3*l**3. Factor t(b).
5*(b - 5)*(b - 1)
Let u(z) be the first derivative of -2*z**5/5 + 31*z**4/14 - 94*z**3/21 + 29*z**2/7 - 12*z/7 + 67. What is o in u(o) = 0?
3/7, 1, 2
Suppose 50*p = 46*p + 12. Factor -7*o**3 - 144*o - 48*o**2 - 4*o**3 + 7*o**p.
-4*o*(o + 6)**2
Suppose 4*k - 5 - 3 = 0. Let u(s) be the second derivative of 0 - 3/10*s**3 - 4/15*s**4 - 7/50*s**5 - 1/5*s**k - 1/210*