*w = 0 for t.
-4, 0
Let m(f) = 3*f**3 - 12*f**2 + 2. Let j(k) = 3*k**3 - 12*k**2 + 3. Let s(r) = -2*j(r) + 3*m(r). Solve s(l) = 0.
0, 4
Let t be 2/(-11) - (3 + 540/55). Let p be (-6)/21*t/2 + -1. Find y, given that -4/7 - 2/7*y**2 + p*y = 0.
1, 2
Suppose 4*m - 4*l - 13 = m, -3*m - 5*l + 4 = 0. Factor -4*q**4 - 9*q**m + 10*q**4 - 6*q**5 + 5*q**5 + 0*q**5.
-q**3*(q - 3)**2
Suppose -99*w - 68 = -116*w. Let v(b) be the second derivative of 0 + 0*b**2 + 1/15*b**w - 8*b - 1/50*b**5 + 0*b**3. Factor v(k).
-2*k**2*(k - 2)/5
Let i(g) = -g - 4. Let a be i(-15). Factor -a*f - 6*f**2 - f + 10*f**2.
4*f*(f - 3)
Suppose k + 4 = -t, 3*k + t = -0 - 6. Let m be 10/24 - k/4. Factor 2*p**3 + 0 + 2/3*p**4 + m*p + 2*p**2.
2*p*(p + 1)**3/3
Let i(m) be the third derivative of -m**6/180 + 5*m**5/72 - 19*m**4/72 + 2*m**3/9 - 16*m**2 + 1. Find j, given that i(j) = 0.
1/4, 2, 4
Let x be ((-10)/6 - -2)/((-24)/(-288)). Suppose -x*j = -6*s + 10*s - 12, j - 4 = -2*s. Find z, given that -2/7*z**3 + 0 + 4/7*z**j - 2/7*z = 0.
0, 1
Let a(j) be the first derivative of 4*j**3/3 + 296*j**2 + 21904*j - 56. What is n in a(n) = 0?
-74
Let z(u) = -2*u - 30. Let l be z(-14). Let x be (-152)/(-45) + 7*l/(-63). Factor -14/5*h**2 - 4/5 + x*h.
-2*(h - 1)*(7*h - 2)/5
Let j(i) be the third derivative of i**7/1155 - i**6/110 + i**5/30 - i**4/22 + 2*i**2 - 55. Determine s, given that j(s) = 0.
0, 1, 2, 3
Let h = -55 - -54. Let n be (h*9/(-12))/(3/8). Solve -3/2*y**3 - 3/2*y**n + 3/2 + 3/2*y = 0.
-1, 1
Let t(g) be the third derivative of -g**7/1155 + 2*g**6/165 - 7*g**5/110 + 3*g**4/22 + 106*g**2. What is z in t(z) = 0?
0, 2, 3
Let c(m) be the first derivative of m**5/5 + m**3/3 + m**2/2 + m - 4. Let t(i) = 9*i**5 - 3*i**4 + 3*i**2 + 3*i + 3. Let s(f) = -3*c(f) + t(f). Factor s(k).
3*k**4*(3*k - 2)
Determine p so that -2/3*p**2 + 218/3*p + 0 = 0.
0, 109
Let b(w) = 14*w - 42. Let u be b(3). Let g(m) be the first derivative of 0*m**3 + 1/20*m**5 - 3 + u*m + 0*m**2 + 1/16*m**4. Solve g(v) = 0 for v.
-1, 0
Let a(z) be the third derivative of -z**8/10080 + z**7/5040 + z**6/1080 - z**3/6 + 23*z**2. Let d(v) be the first derivative of a(v). Let d(g) = 0. What is g?
-1, 0, 2
Let v = -8/67 - 132/1139. Let h = 14/85 - v. Factor -2/5*x**3 - h*x + 0 - 4/5*x**2.
-2*x*(x + 1)**2/5
Factor -9/2 - 14*p - 6*p**3 - 15*p**2 - 1/2*p**4.
-(p + 1)**3*(p + 9)/2
Let y(p) = -5*p - 50. Let h = 68 + -78. Let w be y(h). Factor 4/9*d**2 - 2/9 + 0*d**3 + w*d - 2/9*d**4.
-2*(d - 1)**2*(d + 1)**2/9
Factor -4*s + 0 + 4/5*s**2.
4*s*(s - 5)/5
Let p be 7/(42/4)*(-36)/8. Let a be ((-48)/16)/(12/(p/1)). Determine q so that -a*q - 9/8 + 3/8*q**2 = 0.
-1, 3
Solve -3/2*q**3 - q + 5/2*q**2 + 0 = 0 for q.
0, 2/3, 1
Suppose 36*c + 8*c**4 - 9*c**2 - 159*c**2 + 147*c**3 - 21*c**5 - 8*c**4 + 6*c**4 = 0. What is c?
-3, 0, 2/7, 1, 2
Let u(h) be the second derivative of -1/7*h**3 + 0 + 9/14*h**2 - 1/28*h**4 + 8*h. Factor u(m).
-3*(m - 1)*(m + 3)/7
Let c be (-5)/1 - 0/2. Let a be (-82)/10*c/1. Factor 12 + 32*u**2 - 11*u**2 + 8*u - 15*u - a*u.
3*(u - 2)*(7*u - 2)
Suppose t = 2*x - 18, 2*x + 12 - 36 = 4*t. Solve -x*k**2 + 20*k**2 + 3*k**5 - 12*k**2 = 0 for k.
0
Let u = 1164 - 5807/5. Let -6/5*r**3 - u*r**2 - 4/5 - 12/5*r - 1/5*r**4 = 0. What is r?
-2, -1
Let l(q) = q**2 + 6*q - 5. Let k(u) = -u**2 - 5*u + 4. Let w(v) = -5*k(v) - 4*l(v). Let o(f) = 8*f**3 - 2*f**2 + 2*f. Let n(j) = -o(j) + 2*w(j). Factor n(h).
-4*h**2*(2*h - 1)
Let q(c) be the second derivative of -2*c**6/75 + 2*c**5/25 + 4*c**4/5 + 28*c**3/15 + 2*c**2 - 18*c. Factor q(x).
-4*(x - 5)*(x + 1)**3/5
Let p(r) = 6*r**4 + 3*r**3 - 57*r**2 - 198*r - 135. Let n(a) = -13*a**4 - 5*a**3 + 113*a**2 + 396*a + 270. Let f(w) = -3*n(w) - 7*p(w). Factor f(k).
-3*(k - 5)*(k + 1)*(k + 3)**2
Let m(t) be the first derivative of -t**3/21 + 3*t**2/7 + t - 5. Factor m(q).
-(q - 7)*(q + 1)/7
Let u(i) = 3*i**3 + i**2 + 18*i - 20. Let q be u(1). Factor 2/5*c**q - 2/5*c - 4/5.
2*(c - 2)*(c + 1)/5
Let l = 591/20 + -155/4. Let k = 73/5 + l. Find r, given that 3*r**3 - 36/5*r**2 + k*r - 6/5 = 0.
2/5, 1
Let u = -15 + 18. Suppose 4*k = 2*g + 26, u*g + 25 = -2*g. Let -10*l + 7*l**2 + 2*l**3 - 6*l**k + 8*l - l**2 = 0. What is l?
-1, 0, 1/3, 1
Let g(t) = -t**5 - t**4 + 20*t**3 + 38*t**2 + 26*t - 1. Let c(w) = -w**3 - w**2 + 1. Let z(x) = -18*c(x) - 2*g(x). Factor z(i).
2*(i - 4)*(i + 1)**3*(i + 2)
Let m = 113 + -131. Let x(f) = -f**3 - 18*f**2 - f - 18. Let r be x(m). Factor 0*z**4 - 6/5*z**3 + 0*z + r + 2/5*z**5 + 4/5*z**2.
2*z**2*(z - 1)**2*(z + 2)/5
Factor 976*v**3 + 3*v**5 - 1012*v**3 + 4*v**4 - 7*v**4.
3*v**3*(v - 4)*(v + 3)
Factor -5/3*r**4 - 300*r + 30*r**3 - 500/3 - 305/3*r**2.
-5*(r - 10)**2*(r + 1)**2/3
Suppose -13*g = -18*g + 20. Suppose r = -4*t + 8, -8 = -g*t - 2*r - 4. Determine s so that -5*s + 3*s**4 - s + 6*s**t + 0*s - 3*s**2 = 0.
-2, -1, 0, 1
Let i(p) be the first derivative of -225*p**4/4 + 730*p**3 + 298*p**2 + 40*p + 206. Factor i(m).
-(m - 10)*(15*m + 2)**2
Let r(b) be the third derivative of b**8/336 + b**7/210 - b**6/24 - b**5/60 + b**4/3 - 2*b**3/3 - 60*b**2. Factor r(p).
(p - 1)**3*(p + 2)**2
Let o(c) be the first derivative of -22/3*c**2 - 11 - 2/9*c**6 + 16/15*c**5 + 8/9*c**3 + 4*c**4 - 8*c. Let o(h) = 0. Calculate h.
-1, 1, 6
Let 0 + 6/11*x**2 + 2/11*x + 4/11*x**3 = 0. What is x?
-1, -1/2, 0
Factor 140/3 + 22*i - 2/3*i**2.
-2*(i - 35)*(i + 2)/3
Factor 0*h**4 + 0*h + 0*h**2 + 0 - 2/5*h**3 + 2/5*h**5.
2*h**3*(h - 1)*(h + 1)/5
Let k = 1/227 + 429/5675. Let t(n) be the first derivative of 2/5*n**3 + k*n**5 + 0*n + 1 + 9/5*n**2 - 1/2*n**4. Factor t(z).
2*z*(z - 3)**2*(z + 1)/5
Let w(c) = -4*c**3 - 12*c**2 + 19. Let p = -43 - -42. Let u(b) = -1. Let z(d) = p*w(d) - 3*u(d). Factor z(v).
4*(v - 1)*(v + 2)**2
Let z(w) = 6*w**3 + 6*w**2 - 6*w - 14. Let y(m) = 17*m**3 + 19*m**2 - 17*m - 41. Let r(p) = 4*y(p) - 11*z(p). What is j in r(j) = 0?
-5, -1, 1
Let u(s) be the first derivative of 0*s**3 + 0*s - 3/7*s**4 + 6/35*s**5 + 0*s**2 + 11 + 1/7*s**6. Factor u(z).
6*z**3*(z - 1)*(z + 2)/7
Let z(g) be the second derivative of g**7/105 + g**6/40 + g**5/60 + 5*g**2/2 + 11*g. Let r(u) be the first derivative of z(u). Factor r(w).
w**2*(w + 1)*(2*w + 1)
Let r be (-1 - (-4)/6)/((-1)/4). Suppose 2*t + 11 = 3*z, -2*t = 4*z - z - 7. Factor -2*w**2 + 0 + 2/3*w + r*w**z.
2*w*(w - 1)*(2*w - 1)/3
Let p(o) be the third derivative of -12*o**2 + 5/2*o**3 + 1/4*o**4 + 0 + 1/100*o**5 + 0*o. Factor p(g).
3*(g + 5)**2/5
Let d(q) be the third derivative of q**5/90 - 6*q**4 + 1296*q**3 - 801*q**2. Solve d(h) = 0 for h.
108
Let -16/5*v + 42/5*v**2 - 4/5*v**3 - 8/5 - 14/5*v**4 = 0. Calculate v.
-2, -2/7, 1
Let u = -1 - -1. Suppose -4 + 12 = 4*m. Determine l so that u*l**2 + m*l + 5*l**2 - 7*l**2 = 0.
0, 1
Let l(k) be the third derivative of -1/15*k**5 + 2/105*k**7 + 0*k - 4/3*k**4 - 6*k**2 + 1/6*k**6 - 1/84*k**8 - 8/3*k**3 + 1. Solve l(o) = 0 for o.
-1, 2
Suppose 15 = 5*k, 0 = 3*d + 2*k - 4*k. Factor -j**5 + j**2 - 3*j - j**3 + j + 4*j**3 + 0*j**d - j**4.
-j*(j - 1)**2*(j + 1)*(j + 2)
Let v = 136 - 134. Let c = 1 - -35. Factor -39*j**3 + 0*j - c*j**v + 0*j**5 - 3*j**5 - 12*j - 18*j**4.
-3*j*(j + 1)**2*(j + 2)**2
Let s = 276 - 275. Let z(l) be the first derivative of 2*l**6 - 1/6*l**2 + 1/3*l - 13/9*l**3 + 1/12*l**4 + 16/5*l**5 + s. Let z(q) = 0. Calculate q.
-1, -1/2, 1/3
Let x(b) be the third derivative of -2*b**7/105 + 2*b**6/15 - b**5/3 + b**4/3 + b**2 + 2. Factor x(c).
-4*c*(c - 2)*(c - 1)**2
Let d(h) = 3*h**2. Let w be d(1). Factor 29 + w*s**2 + 1 + 45 - 30*s.
3*(s - 5)**2
Let u = -25 + 32. Suppose 8 = -u*d + 22. Solve -9*y + 9*y**3 - 27/4*y**4 + 15/4*y**d + 3 = 0 for y.
-1, 2/3, 1
Let y(m) be the third derivative of -m**6/780 + 7*m**5/195 - 49*m**4/156 - 89*m**2. Factor y(z).
-2*z*(z - 7)**2/13
Let 13*u**2 + 18*u**3 + 72*u - u**2 - 3*u**5 + 66*u**2 - 9*u**4 + 6*u**2 = 0. Calculate u.
-2, 0, 3
Suppose 10 = 10*d - 10. Factor -18*z**d + 0*z - 18*z**4 - 18*z**2 - 3*z**5 - 12*z - 39*z**3 + 0*z.
-3*z*(z + 1)**2*(z + 2)**2
Let p(r) be the second derivative of r**4/12 - 47*r**3/24 - 3*r**2/2 + 2*r - 11. Factor p(n).
(n - 12)*(4*n + 1)/4
Let l = 528 - 528. Let m(v) be the third derivative of v**3 + 1/8*v**4 + 3*v**2 + l*v + 0 - 3/20*v**5. Factor m(x).
-3*(x - 1)*(3*x + 2)
Let o(r) be the third derivative of r**8/840 + r**7/