(n). Let q(c) = 0. What is c?
-3/5, 1
Solve -91*d**5 - d**4 + 18*d**3 + 18*d**2 + 3*d**4 + 89*d**5 - 4*d**4 = 0 for d.
-3, -1, 0, 3
Suppose 4*u - 10 = -2*m, 3*u + 4*m = -2 - 3. Suppose c = n - 9, n - 4*c + 20 = u*n. Factor -12*i - 3*i**2 + n*i + 2*i.
-3*i*(i + 1)
Let k(c) = 37*c - 738. Let b be k(20). Find x such that 2/3*x**3 - 2/3*x - 4/3*x**b + 4/3 = 0.
-1, 1, 2
Let q be (20/(-150))/(28/(-35)). Let k(f) be the first derivative of 0*f - 4/5*f**5 + q*f**6 + 5/4*f**4 + 4 + 0*f**2 - 2/3*f**3. Factor k(i).
i**2*(i - 2)*(i - 1)**2
Let k = -1909 + 24819/13. Let k*m + 2/13*m**2 - 12/13 = 0. Calculate m.
-3, 2
Suppose -5*t + 23 = z, 4*t = 2*z - 26 + 22. Let m be -6 + 9 - (-3 - 6/z). Factor -3/2*i**2 - m*i**5 + 0*i + 33/4*i**3 + 0 - 9*i**4.
-3*i**2*(i + 2)*(3*i - 1)**2/4
Let b(x) = -20*x**2 - 8*x. Let d(w) = -w**3 - 21*w**2 - 10*w. Let i(g) = -5*b(g) + 4*d(g). Factor i(u).
-4*u**2*(u - 4)
Let o be (-34)/(-30) + 19 + (-870)/45. Suppose 4/5*b + o*b**5 - 16/5*b**2 - 16/5*b**4 + 24/5*b**3 + 0 = 0. Calculate b.
0, 1
Let c(s) = -4*s**3 + 4*s**2 - 7*s - 6. Let b(z) = 3*z**3 - 4*z**2 + 6*z + 4. Let o(j) = 3*b(j) + 2*c(j). Factor o(p).
p*(p - 2)**2
Suppose -2*v = -4*h + 2, 0 = 3*h - 73*v + 72*v - 4. Factor -6*c**2 + 10/3*c**h - 2/3*c**4 - 4/3 + 14/3*c.
-2*(c - 2)*(c - 1)**3/3
Let z(l) be the first derivative of -3*l**5/5 + 17*l**4/4 - 31*l**3/3 + 23*l**2/2 - 6*l + 149. Factor z(n).
-(n - 3)*(n - 1)**2*(3*n - 2)
Determine z so that 26 + 118*z**2 - 109*z**2 + 448 + 1425*z = 0.
-158, -1/3
Let q(d) be the third derivative of -11*d**6/120 - d**5/3 + d**4/6 - 255*d**2. Factor q(j).
-j*(j + 2)*(11*j - 2)
Suppose -10/3*x**3 + 0 - 8/9*x + 4/9*x**4 + 10/9*x**5 - 32/9*x**2 = 0. What is x?
-1, -2/5, 0, 2
Let o = -653/5 - -674/5. Find w such that 8/5*w**2 + 0 - 4/5*w + o*w**3 = 0.
-2/3, 0, 2/7
Let 2/7*i**4 + 12/7 - 2*i**2 - 2/7*i**3 + 2/7*i = 0. Calculate i.
-2, -1, 1, 3
Let s = 7912/9 - 879. Factor -1/3*r**3 - 1/9*r - 1/3*r**2 + 0 - s*r**4.
-r*(r + 1)**3/9
Suppose -4*x + 4*o = -48, -5*x - 5*o - 38 = -128. Suppose 0 = -0*s - 5*s + x. Solve 4 - 13*d**s + 41*d**2 - 12*d**3 - 24*d + 11*d**2 - 7*d**2 = 0.
2/5, 1
Determine q so that -20*q**4 - 592*q**3 - 2*q - 424*q**2 - 7*q - 11*q - 220*q**4 - 28*q**5 - 32*q**4 + 56 = 0.
-7, -1, 2/7
Let t = 17915/88 + -1617/8. Factor t*x + 32/11 + 2/11*x**2.
2*(x + 4)**2/11
Solve 0*y**5 - 92*y**4 + 170*y**4 + y**5 - y**3 + 14*y**2 + 0*y**5 - 92*y**4 = 0.
-1, 0, 1, 14
Let h(k) be the third derivative of k**6/120 + k**3/3 + 24*k**2. Let x be h(0). Factor -1/4*v**x + 0*v + 1/4*v**3 + 0.
v**2*(v - 1)/4
Let j(r) be the third derivative of 0*r**3 - 1/54*r**4 - 1/54*r**5 - 1/180*r**6 + 1/945*r**7 + 0*r - 8*r**2 + 0 + 1/1512*r**8. Let j(i) = 0. Calculate i.
-1, 0, 2
Let k(z) be the third derivative of -z**8/2016 + z**7/252 - z**6/120 - z**5/180 + 7*z**4/144 - z**3/12 - 3*z**2 - 12*z. Let k(b) = 0. What is b?
-1, 1, 3
Let s be 11/55*(-8 - -12). Let z(v) be the second derivative of -2*v**4 + 9*v + 8/3*v**3 + 0 - 2*v**2 - 2/15*v**6 + s*v**5. Factor z(h).
-4*(h - 1)**4
Let r be (1 - -3)/((-220)/32 - -7). Suppose 2*p - 6*p = -5*l - r, -5*p = -l - 19. Factor -8/3*v**p - 2/3*v**4 - 4*v**2 - 8/3*v - 2/3.
-2*(v + 1)**4/3
Let n = 35 + -49. Let t = -14 - n. Determine k, given that 3*k**3 - 2*k + t*k**2 - 2*k**3 + k**2 - 1 + k = 0.
-1, 1
Suppose 10*o = 14*o - 44. Determine k so that -14 - 2*k - k**2 + o + k - 3*k = 0.
-3, -1
Let w = -1342/403 + 108/31. What is s in 24/13*s + 72/13 + w*s**2 = 0?
-6
Suppose -r = 5*d - 4*r - 2, -4*r - 18 = d. Let k be 3/(-30)*d*1. Suppose 2/5 - 1/5*i**2 - k*i = 0. What is i?
-2, 1
Let x be 1*(-2)/5*-15. Let b(h) = -h**2 + 9*h - 5. Let k be b(x). Factor 3*q**3 - 15*q**3 - 4*q**4 + 0*q**4 - k*q**2 + 5*q**2.
-4*q**2*(q + 1)*(q + 2)
Let a(k) be the third derivative of -k**8/6720 - k**7/756 - k**6/240 - k**5/180 - k**4/3 - 4*k**2. Let x(b) be the second derivative of a(b). Factor x(i).
-(i + 1)*(i + 2)*(3*i + 1)/3
Let c(x) = x**2 - x. Let h(z) = 9*z**2 - 6*z. Suppose 3*q + 0*q - 3 = 0. Let y(i) = q*h(i) - 12*c(i). Suppose y(l) = 0. Calculate l.
0, 2
Factor 393 - 215*k**2 - 75*k - 33 - 4*k**4 - 65*k**3 - k**4.
-5*(k - 1)*(k + 3)**2*(k + 8)
Let y(s) = -s**4 + 1. Let z(v) = 5*v**5 + v**4 + 9*v**3 + 2*v**2 + 11. Let w(j) = -44*y(j) + 4*z(j). Find u such that w(u) = 0.
-1, -2/5, 0
Let g = -101 - -105. Suppose -b + u + 6 = 0, 2*b - u - 9 = -0*b. Factor -g*m + b*m**2 + 2*m - 6*m + 5*m.
3*m*(m - 1)
Let q = 118 - 66. Let x = q - 49. Find u, given that 0*u**2 + 0*u + 0 + 1/4*u**x + 1/4*u**4 = 0.
-1, 0
Factor 3/8*w**5 - 192*w**2 + 0*w + 0 + 45/4*w**4 + 72*w**3.
3*w**2*(w - 2)*(w + 16)**2/8
Let n(v) be the second derivative of -v**7/42 + v**6/15 - v**5/20 - v + 1. Factor n(l).
-l**3*(l - 1)**2
Factor 250*n - 52*n**2 + 50*n**3 - 519*n + 279*n - 8*n**4.
-2*n*(n - 5)*(n - 1)*(4*n - 1)
Let z(a) be the first derivative of 5*a**4/12 - 40*a**3/9 + 25*a**2/6 + 70*a/3 + 211. Factor z(n).
5*(n - 7)*(n - 2)*(n + 1)/3
Suppose -v - 5*t - 20 = 0, 5*t = -v + 2*t - 30. Let r be v/(-27) - (-1)/(-1 + 0). Find x, given that 0 + r*x**3 - 2/3*x + 0*x**2 = 0.
-1, 0, 1
Let x(b) be the third derivative of -b**5/120 - 7*b**4/16 - b**2 + 95. What is t in x(t) = 0?
-21, 0
Suppose 25/4 + 1/4*a**3 - 1/4*a - 25/4*a**2 = 0. What is a?
-1, 1, 25
Find b, given that 232/15*b**2 + 44/3*b + 68/15*b**3 + 2/5*b**4 + 10/3 = 0.
-5, -1, -1/3
Let c(u) = 2*u - 8. Let p be c(6). Let k = 280 - 278. Suppose -5*s - p*s**2 + 3*s + s + 3*s**k = 0. What is s?
-1, 0
Let j(y) be the second derivative of 0*y**2 + 0 + 3/5*y**5 + 7*y - 4/3*y**3 - 1/3*y**4. Find o, given that j(o) = 0.
-2/3, 0, 1
Let s(o) = -o**2 - 16*o - 1. Let j be s(-13). Factor 4 + 0*v**2 + 46*v + 4*v**2 - j*v.
4*(v + 1)**2
Let t be (-4)/(-4)*(-4 + 6). Let t - 8*b**3 + 10*b**2 - 2 - 17*b**3 - 5*b**5 + 20*b**4 = 0. What is b?
0, 1, 2
Let z(b) be the first derivative of -b**5/40 + b**4/16 + b**3/2 + 3*b**2/2 + 14. Let h(s) be the second derivative of z(s). What is p in h(p) = 0?
-1, 2
Let g(b) be the third derivative of b**8/1008 - b**7/210 + b**6/360 + b**5/60 - b**4/36 + 2*b**2 - 178*b. Solve g(y) = 0 for y.
-1, 0, 1, 2
Let l(v) be the first derivative of v**5/30 - 67*v**4/24 + 21*v**3 - 185*v**2/3 + 244*v/3 + 234. Factor l(y).
(y - 61)*(y - 2)**3/6
Let y = 18 + -17. Let p(s) = s**3. Let o be p(y). Factor -o - 1/4*r**2 + r.
-(r - 2)**2/4
Let -1144/9*d**2 + 1936/9*d - 2/9*d**4 + 92/9*d**3 + 0 = 0. What is d?
0, 2, 22
Suppose t - 3*m = -14 + 28, 5*m = t - 22. Solve -1/5*z**t + 1/5*z + 2/5 = 0.
-1, 2
Let q = -298 + 300. Let v(t) = 2*t**2 - 6*t + 7. Let o be v(q). Find p such that -6*p**2 + 0*p + 9/2*p**5 - 6*p**o + 0 + 15/2*p**4 = 0.
-2, -2/3, 0, 1
Suppose 10 = -2*p + 20. Solve 6*f**2 + 12*f**3 - 15*f + 6 - 12*f**p + 9*f**5 - 12*f**4 + 6*f**5 = 0 for f.
-1, 1, 2
Let u(h) be the second derivative of -h**5/70 - 11*h**4/21 - 41*h**3/21 - 20*h**2/7 - 61*h. Factor u(f).
-2*(f + 1)**2*(f + 20)/7
Let s(r) be the first derivative of 4*r**3/3 - 120*r**2 - 244*r + 324. Suppose s(y) = 0. Calculate y.
-1, 61
Let d = 26 + -24. Suppose -7*z**2 + 13*z**2 + z + 2 - z**3 - 8*z**d + 0 = 0. Calculate z.
-2, -1, 1
Find q, given that -21/5*q + 0 + 3/5*q**2 = 0.
0, 7
Suppose 9/4*y**3 + 51/4*y - 12*y**2 - 3 = 0. Calculate y.
1/3, 1, 4
Factor 0 - y**3 + 0*y**2 + 35/2*y**4 + 0*y.
y**3*(35*y - 2)/2
Let r = -175 - -175. Let g(h) be the first derivative of -1/4*h**4 + 9 + r*h + 1/3*h**3 - 1/5*h**5 + 1/6*h**6 + 0*h**2. Factor g(v).
v**2*(v - 1)**2*(v + 1)
Let i be 3*(-2 + 1) - -31. Let l = -22 + i. Factor -4*a**2 - l*a - 5 + 9 + 5 + a**2.
-3*(a - 1)*(a + 3)
Let b = -4239 - -29865/7. Let d be ((-48)/36)/(7/(-81)). Factor -b - 33/7*j**3 + 3/7*j**4 - 48/7*j + d*j**2.
3*(j - 4)**3*(j + 1)/7
Let w(o) be the second derivative of -o**4/42 - 13*o**3/21 + 30*o**2/7 + 25*o. Solve w(h) = 0.
-15, 2
Let b = 11 + -5. Suppose 4*i + 18 = b*i. Determine l, given that 5*l**2 - 9*l**2 - 21*l**2 - i + 30*l = 0.
3/5
Let -4/11*n + 6*n**3 - 14/11*n**2 + 36/11*n**4 + 0 = 0. Calculate n.
-2, -1/6, 0, 1/3
Let b(d) = 2*d**2 - 2. Let y(t) = -4*t**2 - t + 5. Suppose 0 = 2*k - 16 - 4. Let v(w) = k*b(w) + 4*y(w). Factor v(n).
4*n*(n - 1)
Let m(a) = -a**4 + a**3 + a. Let c(b) = 4*b**4 - 5*b**3 - b**2 - b. Let u(v) = c(v) + 3*m(v). Factor u(q).
q*(q - 2)*(q - 1)*(q + 1)
Suppose 9*a = 14*a + 