 + 0*i**3 + 2*i + 1/8*i**2. Solve z(c) = 0 for c.
-1, 1
Let n(v) be the second derivative of v**2 + 0 + 2/5*v**5 + 4/3*v**3 + 1/15*v**6 + v**4 - v. Factor n(o).
2*(o + 1)**4
Let m(o) = 2*o**2 - 72*o - 208. Let u(h) = -h**2 + 48*h + 139. Let q(t) = 5*m(t) + 8*u(t). Factor q(c).
2*(c + 6)**2
Let v = 93 + -91. Let n(w) be the third derivative of -1/200*w**6 + 0*w + 0*w**3 + 0*w**5 + 4*w**v + 0 + 0*w**4. Factor n(y).
-3*y**3/5
Let c(l) = -l - 6. Let x be c(-8). Suppose p - 8 = -3. Find i, given that 4*i**x - i**4 - p*i**3 + 2*i**3 - 8*i**2 - i + i**2 = 0.
-1, 0
Let a(t) be the second derivative of -t**8/43680 + t**6/4680 - t**4/4 - 4*t. Let h(l) be the third derivative of a(l). Solve h(z) = 0.
-1, 0, 1
Let h(g) be the second derivative of -g**7/105 - 2*g**6/75 + g**4/15 + g**3/15 + 6*g. Solve h(k) = 0.
-1, 0, 1
Let u(v) be the third derivative of v**5/5 - 7*v**4/6 - 4*v**3 - 2*v**2. Solve u(g) = 0 for g.
-2/3, 3
Let b be (-1)/(85/(-15) - -1). Let m(g) be the first derivative of -2/35*g**5 + 0*g - 2/7*g**3 + b*g**4 - 2 + 1/7*g**2. Factor m(d).
-2*d*(d - 1)**3/7
Let f(u) be the third derivative of -u**8/1512 - 2*u**7/945 + u**6/540 + u**5/135 + 8*u**2. Solve f(g) = 0.
-2, -1, 0, 1
Let i(o) = -o**2 + 7*o - 10. Let j be i(5). Let m(n) be the first derivative of 0*n**2 - 1/14*n**4 - 2 + j*n + 4/21*n**3. Find v such that m(v) = 0.
0, 2
Let u(w) = w**2 + 8*w + 10. Let i be u(-7). Suppose -5*s + 10 + 5 = 0. Let i*j**5 - 9*j**4 - s*j**2 + 1 - 1 + 9*j**3 = 0. Calculate j.
0, 1
Let z(h) be the third derivative of 169*h**7/70 + 13*h**6/20 + h**5/20 - 35*h**2. Factor z(b).
3*b**2*(13*b + 1)**2
Factor 6*l + 0*l**3 + 2*l + 4*l**2 - 3*l**3 - l**3.
-4*l*(l - 2)*(l + 1)
Suppose 0 = u - 2*u, 5*p - 2*u = 15. Determine b, given that 2/3*b**2 - 1/3 + 2/3*b**p - 1/3*b - 1/3*b**4 - 1/3*b**5 = 0.
-1, 1
Suppose 3*v - 5*n - 27 = 0, -4*v + 3*n = -16 - 9. Find a such that 0*a**4 - 2*a**2 + 0*a**2 + 3*a**v - a**4 = 0.
-1, 0, 1
Let t(c) be the second derivative of -c**6/55 + c**5/10 - 4*c**4/33 - 4*c**3/33 + 3*c. Let t(u) = 0. Calculate u.
-1/3, 0, 2
Let z(v) = -10*v**3 + 10*v**2 - 12*v. Let g(h) = 3*h**3 - 3*h**2 + 4*h. Let t(b) = 16*g(b) + 5*z(b). Determine j, given that t(j) = 0.
-1, 0, 2
Factor 1/4*r**4 - 1/4*r - 1/4*r**2 + 1/4*r**3 + 0.
r*(r - 1)*(r + 1)**2/4
Let y(u) be the third derivative of u**7/1050 + u**6/300 - u**5/75 - u**4/15 + 13*u**2. Let y(w) = 0. What is w?
-2, 0, 2
Let n(x) = -4*x**4 - 5*x**3 + 10*x**5 - 8*x + 0*x**3 + 2*x**4 + x**3. Let a(m) = m**5 - m**4 - m**3 - m. Let z(s) = -8*a(s) + n(s). Factor z(w).
2*w**3*(w + 1)*(w + 2)
Let q(t) be the second derivative of -t**8/504 - 2*t**7/315 + t**5/45 + t**4/36 - t**2 - 3*t. Let w(c) be the first derivative of q(c). Factor w(p).
-2*p*(p - 1)*(p + 1)**3/3
Let k(j) be the third derivative of 13/210*j**5 + 2/21*j**3 + 11/84*j**4 + 1/105*j**6 + 3*j**2 + 0*j + 0. Find l, given that k(l) = 0.
-2, -1, -1/4
Let l be 29/(-5) - -3 - -3. Suppose 2*y**3 - l + 1/5*y**5 - y**4 + y - 2*y**2 = 0. Calculate y.
1
Determine y, given that 43/4*y**3 + 10*y**4 - y**2 - 75/4*y**5 + 0 - y = 0.
-2/5, 0, 1/3, 1
Let u(c) be the third derivative of -c**8/20160 - c**7/5040 - c**5/30 - 3*c**2. Let i(d) be the third derivative of u(d). Factor i(z).
-z*(z + 1)
Let g(d) be the second derivative of d**6/480 - d**5/240 - 5*d**2/2 - 6*d. Let y(i) be the first derivative of g(i). Find k, given that y(k) = 0.
0, 1
Suppose 3*k + u = 12, -2*k + 2*u + 25 = -3*u. Factor 4 - 2 + k - 2*y**2 - 5.
-2*(y - 1)*(y + 1)
Let v = -79904/105 - -761. Let y(f) be the second derivative of 0*f**5 + 0*f**2 - 1/14*f**4 - 2*f - 2/21*f**3 + v*f**6 + 0. Factor y(l).
2*l*(l - 2)*(l + 1)**2/7
Suppose 0 = 3*o + 15, 2*h = 5*o - 12 + 57. Suppose h = 3*n + 4. Find g, given that 16/11*g**n + 0 - 32/11*g**5 + 2/11*g - 16/11*g**4 + 30/11*g**3 = 0.
-1, -1/4, 0, 1
Let u(r) = -7*r**5 - 23*r**4 + 12*r**3 + 7*r**2 - 11. Let b(l) = 2*l**5 + 6*l**4 - 3*l**3 - 2*l**2 + 3. Let x(n) = -22*b(n) - 6*u(n). Factor x(v).
-2*v**2*(v - 1)**3
Let u(r) be the third derivative of -1/20*r**4 - 9*r**2 - 1/10*r**3 + 0 + 0*r - 1/100*r**5. Suppose u(j) = 0. What is j?
-1
Let m(b) be the first derivative of b**4 + 8*b**3/3 - 14*b**2 + 16*b + 8. Factor m(y).
4*(y - 1)**2*(y + 4)
Let r = -272 - -275. Let 0*a**4 - 2/7*a**5 + 4/7*a**r + 0*a**2 - 2/7*a + 0 = 0. What is a?
-1, 0, 1
Factor -12*l + 14*l**2 - 6*l**2 + 3*l**3 + l**3.
4*l*(l - 1)*(l + 3)
Let o(q) be the third derivative of -q**8/504 - q**7/315 + q**6/180 + q**5/90 - 23*q**2. Factor o(x).
-2*x**2*(x - 1)*(x + 1)**2/3
Let z = -20 - -23. Let b(o) be the second derivative of 0*o**3 - 1/60*o**5 - 1/90*o**6 + 0 + 0*o**2 + z*o + 0*o**4. Solve b(r) = 0.
-1, 0
Let q(h) = -2*h**3 - 4*h**2 - 2*h. Let j be (-84)/49 + 4/(-14). Let x be q(j). Let 0*d + 2/7*d**2 + 0 + 4/7*d**x - 6/7*d**3 = 0. What is d?
0, 1/2, 1
Let c(x) be the second derivative of -7*x**6/15 - 13*x**5/5 - 10*x**4/3 + 8*x**3/3 + 8*x. What is a in c(a) = 0?
-2, 0, 2/7
Let n(t) = 7*t**3 - 3*t**2 + 4*t. Let w(i) = i + 0*i**4 - i**2 + 0*i**4 + i**4 + i**3. Let p(b) = n(b) - 4*w(b). Determine z, given that p(z) = 0.
-1/4, 0, 1
Let u = -1/90 + 3571/90. Let i = u - 39. Suppose -2/3*r**4 - 8/3*r - 4*r**2 - 8/3*r**3 - i = 0. What is r?
-1
Suppose -21 = -2*z - z + 5*d, 0 = -3*z - 4*d - 6. Factor 8*c**3 + c**2 - 28*c**3 + 0*c + 2*c**z + 2*c.
-c*(4*c + 1)*(5*c - 2)
Let x(q) be the third derivative of -q**7/945 - q**6/108 - q**5/30 - 7*q**4/108 - 2*q**3/27 - 4*q**2. Let x(k) = 0. Calculate k.
-2, -1
Let i = -29/456 - -2/19. Let q(h) be the second derivative of -1/24*h**3 + i*h**4 - 1/80*h**5 - h + 0*h**2 + 0. Let q(n) = 0. Calculate n.
0, 1
Let x(f) be the third derivative of 0*f + 1/8*f**4 - 1/40*f**6 + 0 - 11*f**2 - 1/15*f**5 + 3/140*f**7 - 1/12*f**3. Find m such that x(m) = 0.
-1, 1/3, 1
Let v(p) = -2*p**3 - 15*p**2 + 8*p. Let l(i) = -2*i**2 + i. Let w(r) = -20*l(r) + 5*v(r). Factor w(x).
-5*x*(x + 4)*(2*x - 1)
Let l(o) = -2*o + 4. Let a be l(5). Let x(g) = 4*g**4 + 10*g**3 + 3*g**2 - 2*g - 5. Let k(c) = -c**3 - c**2 + 1. Let p(f) = a*k(f) - x(f). Factor p(w).
-(w + 1)**2*(2*w - 1)**2
Let z = -4 - -8. Suppose -z*b - 6 = -7*b. Factor 0*h**b - 6/5*h + 8/5*h**3 + 2/5.
2*(h + 1)*(2*h - 1)**2/5
Let o = 6 - 2. What is g in -1 - o*g**3 + 3*g + 3*g**3 - 1 = 0?
-2, 1
Factor 8/3*u + 4/3*u**2 + 4/3.
4*(u + 1)**2/3
Let z = 10 - 6. Let l = 251/4 - 62. Determine q so that 0 + 1/4*q**z - 1/2*q**3 + 0*q + 0*q**2 + l*q**5 = 0.
-1, 0, 2/3
Solve 1/9*h + 0 - 1/9*h**2 = 0 for h.
0, 1
Let 6 + 5 - 3 + 7*g**2 - 19*g**2 + 4*g = 0. Calculate g.
-2/3, 1
Let y(i) be the first derivative of 0*i**3 + 2/5*i**5 - 4/15*i**6 + 0*i - 1 + 0*i**2 - 1/10*i**4. Factor y(o).
-2*o**3*(o - 1)*(4*o - 1)/5
Let k(b) = b**3 + b**2 + 4*b + 4. Let y(s) = 2*s**3 + 2*s**2 + 10*s + 10. Let r(g) = 12*k(g) - 5*y(g). Solve r(c) = 0.
-1, 1
Let l be -1*(-2 + 1) - -1. Suppose -l*u = 5*u. Factor -v**2 - 1/2*v**5 + v**4 + 0 + 1/2*v + u*v**3.
-v*(v - 1)**3*(v + 1)/2
Let d(w) be the first derivative of -4/15*w**3 + 2/5*w**2 + 0*w - 6 + 1/20*w**4. Factor d(b).
b*(b - 2)**2/5
Suppose -3*s + 5 = -7. Suppose 0*q + 2/5*q**2 + 4/5*q**3 + 0 + 2/5*q**s = 0. What is q?
-1, 0
Let r(i) be the first derivative of -2/3*i**3 - 7/6*i**4 + 0*i**2 - 1 + 2*i - 1/2*i**5. Let y(k) be the first derivative of r(k). Determine l so that y(l) = 0.
-1, -2/5, 0
Let k = 159 - 154. Suppose 0*v + 0 + 162*v**k - 16/3*v**2 - 36*v**4 - 40*v**3 = 0. What is v?
-2/9, 0, 2/3
Suppose r - 3*r = -24. Suppose r = 5*j - j. Suppose 0 - 2/5*w**j + 2/5*w**2 + 0*w = 0. What is w?
0, 1
Let x(b) be the first derivative of b**9/1008 - b**8/280 + b**7/280 - 2*b**3/3 + 3. Let u(o) be the third derivative of x(o). Find f such that u(f) = 0.
0, 1
Factor 2/7*s**4 - 2/7*s**2 + 2/7*s**3 + 0 - 2/7*s.
2*s*(s - 1)*(s + 1)**2/7
Let l be 1/2 + (-12)/(-72). Factor -4*x + l*x**2 + 6.
2*(x - 3)**2/3
Let n = 89/4935 - 2/235. Let z(t) be the third derivative of -1/12*t**4 + 0*t + 1/60*t**6 - 1/30*t**5 + 0 + n*t**7 + 0*t**3 + t**2. Find h, given that z(h) = 0.
-1, 0, 1
Let j(x) be the third derivative of x**6/160 + 3*x**5/80 + x**4/16 - 8*x**2. Factor j(z).
3*z*(z + 1)*(z + 2)/4
Let o(r) be the third derivative of r**7/210 + r**6/120 + 3*r**2. Factor o(q).
q**3*(q + 1)
Let m = -4 - -7. Suppose 0 = 2*t + c - 6, t + 6 = -2*c - m*