 - 2)*(t + 1)**2
Let o = 15 + -21. Let l(u) = u**5 + u**4 + 2*u**3 + 2*u**2 + 2. Let i(b) = 3*b**5 + 2*b**4 + 4*b**3 + 5*b**2 + 5. Let t(s) = o*i(s) + 15*l(s). Factor t(v).
-3*v**3*(v - 2)*(v + 1)
Let w(a) be the first derivative of 19*a**4/4 + 19*a**3/3 - 13*a**2/2 - 2. Let n(r) = -3*r**3 - 3*r**2 + 2*r. Let c(m) = 39*n(m) + 6*w(m). Factor c(g).
-3*g**2*(g + 1)
Let o be (9/27)/(5 + 145/(-30)). Factor 1/2*h**4 + 0*h**o + 0*h + 0*h**3 - 1/2*h**5 + 0.
-h**4*(h - 1)/2
Let n(c) be the second derivative of -3/8*c**5 + 1/20*c**6 - 1/8*c**4 + 0 + 0*c**2 + 3/28*c**7 + 2*c + 1/2*c**3. Determine i so that n(i) = 0.
-1, 0, 2/3, 1
Let l(d) be the first derivative of 3/7*d**2 - 4/21*d**3 - 2/7*d + 1. Factor l(s).
-2*(s - 1)*(2*s - 1)/7
Let m be 0*(1 + 2/(-4)). Suppose -a**2 + m*a**3 + 3*a**5 - 6*a**3 - 3*a**3 - 5*a**2 = 0. Calculate a.
-1, 0, 2
Let x(q) = -2*q - 3. Let i be x(-3). Let 0*o + 0*o**2 + 2/7*o**i + 0 = 0. Calculate o.
0
Let g be ((-12)/10)/(9/(-30)). Suppose -t = -2*r - 0*r, g*r = 4*t - 8. Suppose -5*z**3 + t*z**3 + 0*z**5 - 2*z**5 - 2*z**4 + 3*z**3 + 2*z**2 = 0. Calculate z.
-1, 0, 1
Let i(h) = h + 1 + h**3 - h**2 + h**3 + h**4 - h**3. Let v(k) = -3*k**4 + 3*k**3 + 15*k**2 - k - 5. Let f(q) = 5*i(q) + v(q). Factor f(t).
2*t*(t + 1)**2*(t + 2)
Let a(d) = -45*d**3 - 40*d**2 - 5*d + 10. Let n(f) = f**3 + f**2 + f - 1. Let y(u) = -a(u) - 10*n(u). Factor y(j).
5*j*(j + 1)*(7*j - 1)
Let z(q) be the third derivative of -q**6/20 + q**5/15 + q**4/12 + 14*q**2. Factor z(i).
-2*i*(i - 1)*(3*i + 1)
Factor 4 + 9*l + 4*l - 7*l + 2*l**2.
2*(l + 1)*(l + 2)
Let l be (-1158)/(-12)*10/(-9). Let i = -107 - l. Suppose -4/9 + i*r**2 - 2/9*r = 0. Calculate r.
-1, 2
Let w = -7/5 + 41/15. Let 2/3*b**4 + 2/3 + 0*b**3 + 0*b - w*b**2 = 0. What is b?
-1, 1
Let o(l) = -4*l**5 + 6*l**4 - 8*l**3 + 2*l**2 + 2*l. Let g(v) = 9*v**5 - 12*v**4 + 17*v**3 - 4*v**2 - 5*v. Let m(u) = 2*g(u) + 5*o(u). Factor m(s).
-2*s**2*(s - 1)**3
Let u = -201/58 - 1/29. Let o = 81/22 + u. Factor 2/11*l**4 + 0 - 4/11*l**2 + o*l**3 + 0*l.
2*l**2*(l - 1)*(l + 2)/11
Let h = 2/15 + 11/30. Factor 0 - 3/4*s**2 + h*s.
-s*(3*s - 2)/4
Suppose n + 8 = 3*n. Suppose 2*s = n*s. Find q, given that 0*q + q - q**3 - 1 + s*q + q**2 = 0.
-1, 1
Let i be (4/(-432))/((-70)/8). Let o(d) be the third derivative of 0*d - 1/108*d**4 + 0*d**3 + i*d**7 - d**2 + 0 - 1/180*d**6 + 1/90*d**5. Factor o(w).
2*w*(w - 1)**3/9
Let m(y) be the first derivative of y**3/3 + 3*y**2 + 9*y - 11. Solve m(n) = 0 for n.
-3
Let s(p) be the third derivative of 0*p**3 - 1/60*p**5 + 0*p + 0 + 1/240*p**6 + 1/48*p**4 - 3*p**2. Factor s(u).
u*(u - 1)**2/2
Let m(f) = -f**2 + 5*f + 4. Let o be m(5). Let y be ((-3)/9)/(1/(-6)). Determine q, given that -y + 2*q**o + 12*q + 0 - 8*q**4 + 20*q**3 - 24*q**2 = 0.
1/3, 1
Determine v so that -6*v**2 + 2*v**2 + 5*v**2 + 2*v**2 + 15*v + 18 = 0.
-3, -2
Let l(q) be the second derivative of -q**5/50 - q**4/30 + 7*q. Find d such that l(d) = 0.
-1, 0
Let z = 10 + -11. Let m be 0 + (3 - 1) + z. Factor -12*w**2 - 12*w - m - 3 - 3*w + 1.
-3*(w + 1)*(4*w + 1)
Let c(u) = 3*u**3 - 11*u**2 - 14*u - 5. Let j(d) = -3*d**3 + 10*d**2 + 13*d + 4. Let y(q) = -4*c(q) - 5*j(q). Factor y(b).
3*b*(b - 3)*(b + 1)
Suppose 4 = 3*d + 4*m - 2*m, -6 = -d - 3*m. Let x(j) be the second derivative of 0 + 2/3*j**4 + 1/15*j**6 + d*j**2 - 3*j - 2/5*j**5 + 0*j**3. Factor x(z).
2*z**2*(z - 2)**2
Let t(h) be the first derivative of -3*h**7/385 - h**6/220 + h**5/66 - h**4/132 - h**2 + 1. Let l(s) be the second derivative of t(s). Factor l(f).
-2*f*(f + 1)*(3*f - 1)**2/11
Let q = -18 - -10. Let d = -8 - q. Factor 0*p**3 + d*p**3 + 0*p**3 - 3*p**5 - 12*p**2 + 9*p**4.
-3*p**2*(p - 2)**2*(p + 1)
Let b(h) be the third derivative of -h**8/420 + 4*h**7/525 - h**6/150 - 16*h**2. Suppose b(r) = 0. Calculate r.
0, 1
Let q(o) = -51*o**2 + 89*o - 26. Let r(u) = -52*u**2 + 88*u - 27. Let k(w) = -3*q(w) + 4*r(w). Solve k(i) = 0 for i.
6/11, 1
Let k(q) be the first derivative of -q**4/16 - q**3/6 - q**2/8 - 11. Find m such that k(m) = 0.
-1, 0
Suppose -2/7*k**3 + 0 + 2/7*k - 1/7*k**2 + 1/7*k**4 = 0. What is k?
-1, 0, 1, 2
Let l(q) = -q**3 - 6*q**2 - 13*q + 13. Let d(z) = -z**3 - 3*z**2 - 7*z + 7. Let o(g) = 7*d(g) - 4*l(g). Let o(r) = 0. Calculate r.
-1, 1
Let l(m) = -m**2 - m - 2. Let d(p) = -1. Suppose -3*v = -f + 16, -2*f + 8 + 0 = 0. Let q(o) = v*d(o) + l(o). Let q(k) = 0. Calculate k.
-2, 1
Let q(g) be the second derivative of -g**4/42 - 2*g**3/7 - 9*g**2/7 + 3*g + 5. Determine a so that q(a) = 0.
-3
Let b(h) be the third derivative of h**10/50400 - h**9/10080 + h**7/840 - h**6/240 - h**5/60 + 2*h**2. Let u(y) be the third derivative of b(y). Factor u(l).
3*(l - 1)**3*(l + 1)
Let y(f) be the first derivative of 0*f + 2*f**3 + 0*f**4 - 2/5*f**5 + 2*f**2 - 7. Solve y(v) = 0.
-1, 0, 2
Let f(p) be the first derivative of 0*p**3 + 1/22*p**4 + 0*p + 0*p**2 - 4. Factor f(m).
2*m**3/11
Let x(n) be the first derivative of 1/4*n**4 + 1/18*n**6 + 0*n**2 + 0*n - 1/9*n**3 + 4 - 1/5*n**5. Factor x(k).
k**2*(k - 1)**3/3
Let q(v) = -3*v**3 - 4*v**2 + v + 6. Let j(m) = 15*m**3 + 19*m**2 - 4*m - 30. Let d(c) = 2*j(c) + 11*q(c). Factor d(s).
-3*(s - 1)*(s + 1)*(s + 2)
Let m(d) be the first derivative of d**3/33 + 18*d**2/11 + 324*d/11 - 51. Factor m(z).
(z + 18)**2/11
Let a(d) be the third derivative of d**8/504 - 4*d**7/315 - 16*d**2. Factor a(y).
2*y**4*(y - 4)/3
Suppose -3*x + 5*h + 3 = -4, 4*h = x. Let y(s) be the third derivative of 0 - 7/120*s**5 + 0*s + 1/6*s**3 + 5/48*s**x + s**2. Let y(i) = 0. Calculate i.
-2/7, 1
Let p(m) be the first derivative of m**4/3 + 4*m**3/9 - 4*m**2/3 + 1. Factor p(i).
4*i*(i - 1)*(i + 2)/3
Let n be -2*(1 - 10/8). Let c(d) be the third derivative of -d**2 - n*d**3 - 1/8*d**4 + 0*d + 1/40*d**6 + 0 + 1/20*d**5. Factor c(v).
3*(v - 1)*(v + 1)**2
Let x(w) = 4*w**2 - 17*w + 52. Let v(n) = 5*n**2 - 18*n + 53. Let g(j) = -3*v(j) + 4*x(j). Factor g(p).
(p - 7)**2
Let y(a) be the third derivative of -a**8/2688 + a**7/1680 + a**6/960 - a**5/480 - 17*a**2. Suppose y(r) = 0. Calculate r.
-1, 0, 1
Let t(k) be the second derivative of 0 + 0*k**3 + 0*k**2 + 9/40*k**5 + 1/20*k**6 + 3*k + 1/4*k**4. Let t(j) = 0. Calculate j.
-2, -1, 0
Let j(p) be the third derivative of p**9/151200 - p**8/12600 + p**7/3150 - p**5/12 - 3*p**2. Let u(l) be the third derivative of j(l). Factor u(z).
2*z*(z - 2)**2/5
Let u(z) be the first derivative of -1/4*z**2 + 0*z - 3 + 1/12*z**3. Factor u(w).
w*(w - 2)/4
Let p = 36/11 - 208/77. Factor 4/7 + 10/7*h + p*h**2.
2*(h + 2)*(2*h + 1)/7
Factor 2*s - 40 + 3*s + 32 + 6*s**2 - 3*s.
2*(s - 1)*(3*s + 4)
Let i(y) be the first derivative of -2*y**3/3 - 8*y**2 - 32*y + 6. Determine d, given that i(d) = 0.
-4
Let t = 14/3 + -89/21. Let y = 13/14 - t. Solve -y*i**2 + 0 - 1/2*i = 0.
-1, 0
Let o(t) be the second derivative of 0*t**2 - 1/18*t**4 + 0 + 1/18*t**3 - 3*t + 1/60*t**5. Factor o(a).
a*(a - 1)**2/3
Let v(g) be the second derivative of -2*g + g**4 + 2*g**3 + 2*g**2 + 1/5*g**5 + 0. Solve v(i) = 0.
-1
Let p(v) be the third derivative of -v**5/20 + v**4/6 - v**3/6 - 9*v**2. Factor p(c).
-(c - 1)*(3*c - 1)
Let x be ((-6)/9)/(-10*1/2). Let b(a) be the first derivative of 2 - x*a**3 + 1/5*a**2 + 2/5*a - 1/10*a**4. Find o, given that b(o) = 0.
-1, 1
Suppose -40 + 55 = 5*d. Suppose -2/3*y**d + 0 + 0*y + 2/3*y**4 + 2/3*y**5 - 2/3*y**2 = 0. What is y?
-1, 0, 1
Let q(w) be the third derivative of w**8/112 - 11*w**7/350 - 3*w**6/200 + 11*w**5/100 - w**4/20 - 12*w**2. Determine c, given that q(c) = 0.
-1, 0, 1/5, 1, 2
Determine s, given that -4*s**2 - 24 - 8*s + 0*s**2 + 8*s**2 + 28*s = 0.
-6, 1
Let j(b) be the second derivative of -b - 1/30*b**5 + 1/6*b**4 + 0 - 1/3*b**3 + 1/2*b**2. Let o(y) be the first derivative of j(y). Factor o(v).
-2*(v - 1)**2
Let l(n) = n**2 + n - 1. Let v(s) = s**2 - 6*s. Let w be v(5). Let q(t) = -8*t**2 - 5*t + 8. Let k(y) = w*l(y) - q(y). Factor k(u).
3*(u - 1)*(u + 1)
Let r(u) = 2*u - 6. Let p be r(4). Suppose p*b + 3*b - 25 = 0. Find n such that -2*n**3 - b*n + 3*n + 4*n**2 - 8*n**2 = 0.
-1, 0
Let t(k) be the second derivative of -1/3*k**2 + 1/18*k**4 + 0 - 1/9*k**3 + 1/30*k**5 + 2*k. Factor t(j).
2*(j - 1)*(j + 1)**2/3
Let x(l) be the first derivative of l**6/27 - 2*l**5/45 + 3. Factor x(r).
2*r**4*(r - 1)/9
Let z