**3 + 3*c**2 - 3*c + 2. Let t(r) = -10*d(r) - 5*f(r). Suppose t(h) = 0. Calculate h.
0, 1
Let y(j) be the second derivative of j**4/12 + 5*j**3/42 - j**2/7 - 8*j. Find v such that y(v) = 0.
-1, 2/7
Suppose 4*j + 2*l = l + 29, 0 = -3*j - l + 23. Suppose -j = 5*x - 8*x. Factor y + 7*y - 6 + y + 3*y**5 - 12*y**3 + 6*y**x.
3*(y - 1)**3*(y + 1)*(y + 2)
Let l(q) be the first derivative of -2*q + 1/9*q**2 + 0*q**3 - 1/54*q**4 + 2. Let k(d) be the first derivative of l(d). Factor k(s).
-2*(s - 1)*(s + 1)/9
Let i(f) = 11*f**5 + 14*f**4 + 3*f**3. Let z(a) = 0*a**3 - 5*a**4 + 0*a**3 - a**3 - 2*a**5 - 2*a**5. Let t(c) = -3*i(c) - 8*z(c). What is h in t(h) = 0?
-1, 0
Let y(s) be the first derivative of 3*s**5/20 + 9*s**4/8 + 2*s**3 - 9*s**2/4 - 27*s/4 + 24. Factor y(n).
3*(n - 1)*(n + 1)*(n + 3)**2/4
Let c(h) = 6*h - 3. Let w be c(-4). Let x be 0 + (1410/w)/(-1). Find o such that 290/9*o**2 + 350/9*o**4 + 8/9 - 98/9*o**5 - x*o**3 - 80/9*o = 0.
2/7, 1
Factor 8/9 + 0*q - 2/9*q**2.
-2*(q - 2)*(q + 2)/9
Let w = 6 + -4. Suppose -3*h + 3*v - 6 = 0, w*v - 2 = h + 5. Factor -2 + 1 - h - g**2 + 6*g - 2*g.
-(g - 2)**2
Let t(b) be the first derivative of -70*b**6/3 + 99*b**5 - 655*b**4/4 + 395*b**3/3 - 105*b**2/2 + 10*b - 1. Find v, given that t(v) = 0.
1/4, 2/7, 1
Let w(z) be the second derivative of -8*z - 1/20*z**5 + 0*z**2 + 0 + 1/30*z**6 - 1/12*z**4 + 1/6*z**3. Find q, given that w(q) = 0.
-1, 0, 1
Suppose -4*u + 12 = 4*s - 12, 12 = 5*s - 4*u. Let w be 6/(-8) + (5 - s). Factor 0 - w*i**2 + 1/4*i.
-i*(i - 1)/4
Let k(h) be the third derivative of h**8/2016 + h**7/1260 - h**6/720 - h**5/360 + 5*h**2. Factor k(g).
g**2*(g - 1)*(g + 1)**2/6
Let a(n) = n**3 - 6*n**2 + 7*n - 10. Let g be a(5). Factor -1/3 + g*v + 1/3*v**2.
(v - 1)*(v + 1)/3
Let v(k) be the second derivative of k**7/210 - k**5/20 - k**4/12 + k**2 + 4*k. Let q(m) be the first derivative of v(m). Suppose q(l) = 0. What is l?
-1, 0, 2
Let o(q) be the third derivative of 1/4*q**4 + 0 + 7*q**2 + 0*q**6 - 3/20*q**5 + 0*q**3 + 1/70*q**7 + 0*q. Let o(p) = 0. What is p?
-2, 0, 1
Let d(t) be the second derivative of -t**5/220 + t**4/66 + 2*t**3/33 - 4*t**2/11 + t - 24. Factor d(g).
-(g - 2)**2*(g + 2)/11
Let p(q) be the third derivative of q**9/362880 + q**8/40320 + q**7/15120 - q**5/30 - 6*q**2. Let m(z) be the third derivative of p(z). Factor m(d).
d*(d + 1)*(d + 2)/6
Let p(h) be the third derivative of -h**7/280 + 7*h**6/480 - h**4/24 - 5*h**2. Solve p(l) = 0 for l.
-2/3, 0, 1, 2
Let z(p) be the third derivative of 0 - 49/300*p**5 + 7/30*p**4 + 0*p - p**2 - 2/15*p**3. Solve z(i) = 0 for i.
2/7
Let q(c) = c**3 + 6*c**2 + 5*c + 3. Let d be q(-5). Let y(k) be the first derivative of -1/8*k**2 + 0*k + d - 1/12*k**3. Factor y(t).
-t*(t + 1)/4
Factor 0 - 5/4*q + 0*q**2 + 45/4*q**3.
5*q*(3*q - 1)*(3*q + 1)/4
Determine z, given that -4/11*z**2 - 2/11*z**3 + 0 - 2/11*z = 0.
-1, 0
Let i = -78 + 80. Let q(s) be the first derivative of 1/4*s**4 - 4*s - 29/5*s**5 - 2*s**i + 5/2*s**6 + 7*s**3 - 3. Factor q(b).
(b - 1)**3*(3*b + 2)*(5*b + 2)
Let u(k) = 7*k**4 - 13*k**3 + 10*k**2 + k + 5. Let x(b) = 4*b**4 - 7*b**3 + 5*b**2 + b + 3. Let v(h) = 6*u(h) - 10*x(h). Determine f, given that v(f) = 0.
0, 1, 2
Let k be 2/(-8) - (-542)/312. Let p = k - 2/13. Factor 4/3*z - 1/3*z**2 - p.
-(z - 2)**2/3
Let r(h) be the third derivative of h**6/180 - h**5/60 - h**4/6 + 2*h**3/3 - 5*h**2. Let i(y) be the first derivative of r(y). Determine d, given that i(d) = 0.
-1, 2
Let d = 25 - 25. Let z(f) be the second derivative of -1/15*f**4 + 2/75*f**6 + d + 3*f - 1/105*f**7 + 1/15*f**3 + 0*f**5 + 0*f**2. Factor z(u).
-2*u*(u - 1)**3*(u + 1)/5
Suppose 3*v - 2*p - 24 = p, -p = -2*v + 19. Let w(g) = 7*g**3 - 2*g**2 - 9*g. Let x(n) = -4*n**3 + n**2 + 5*n. Let h(u) = v*x(u) + 6*w(u). Factor h(i).
-i*(i + 1)*(2*i - 1)
Suppose -2*k = -3 - 3. Let p(x) be the second derivative of 0 + 1/16*x**5 - k*x - 1/168*x**7 - 1/3*x**3 + 1/48*x**4 + 1/2*x**2 - 1/120*x**6. Factor p(c).
-(c - 1)**3*(c + 2)**2/4
Let k be 12/4 - (-26)/2. Let j = -12 + k. Factor 1/2*a**3 + 0 - 1/4*a**2 - 1/4*a**j + 0*a.
-a**2*(a - 1)**2/4
Let f = -268 + 806/3. Factor 2/9*n**3 - 2/9 + f*n - 2/3*n**2.
2*(n - 1)**3/9
Suppose -3*j + 5*v = -37, 4*j - 2*v = -7*v - 9. Suppose 0 = j*t - 2*t. Solve 2/7*m**2 + t + 2/7*m**3 - 2/7*m**4 - 2/7*m = 0 for m.
-1, 0, 1
Solve l**4 + 4*l**5 + 0*l**5 + 17*l**4 + 2*l**4 = 0.
-5, 0
Let o(m) be the first derivative of 2/9*m**3 + 1/6*m**4 - 2/3*m**2 + 0*m - 3. Factor o(d).
2*d*(d - 1)*(d + 2)/3
Let k(q) = -q**2 + 1. Let i(u) = 8*u**2 + 4*u - 6. Let c(n) = i(n) + 6*k(n). Determine j, given that c(j) = 0.
-2, 0
Let n(z) be the second derivative of -3*z**5/20 + z**4 - z**3/2 - 9*z**2 - z + 15. Factor n(o).
-3*(o - 3)*(o - 2)*(o + 1)
Suppose 0 = 8*x + x. Let b(k) be the second derivative of -1/3*k**3 - 1/3*k**4 + 0 - 4*k + 1/21*k**7 + 2/15*k**6 + 0*k**2 + x*k**5. Solve b(m) = 0.
-1, 0, 1
Let y(z) be the third derivative of z**5/240 + z**4/32 + z**3/12 - z**2. Factor y(v).
(v + 1)*(v + 2)/4
Let j(u) = 3*u**2 - 7*u + 5. Let y be j(2). Let b(l) be the second derivative of -1/5*l**5 - 1/9*l**4 + 0 - 2*l + 0*l**2 + 0*l**y - 1/10*l**6. Solve b(v) = 0.
-2/3, 0
Let w be ((-6)/(-2) - 3) + 0/(-1). Factor 0*c**3 + 0*c + 0 - 2/5*c**4 + w*c**2.
-2*c**4/5
Let j(t) be the third derivative of -t**8/20160 - t**7/2520 + t**5/60 + 3*t**2. Let x(q) be the third derivative of j(q). Factor x(o).
-o*(o + 2)
Let z(h) be the first derivative of -1/7*h**2 + 0*h - 2/21*h**3 + 6. Factor z(x).
-2*x*(x + 1)/7
Let 16*w**4 + 6*w**2 + 0*w**4 + 2 + 2 - 8*w - 18*w**2 + 16*w**3 = 0. Calculate w.
-1, 1/2
Let d(a) be the first derivative of -a**6/360 + a**4/24 - 2*a**3/3 + 7. Let r(y) be the third derivative of d(y). Solve r(q) = 0.
-1, 1
Let d(r) be the second derivative of r**7/84 + r**6/30 - r**5/40 - r**4/12 - 2*r + 17. Factor d(g).
g**2*(g - 1)*(g + 1)*(g + 2)/2
Let s = 6 - 12. Let t(n) = -2*n - 10. Let d be t(s). Factor 2/9*h**d + 2/9 - 4/9*h.
2*(h - 1)**2/9
Let z(l) be the third derivative of l**6/360 - l**5/60 + l**4/24 + l**3/6 - 4*l**2. Let v(i) be the first derivative of z(i). Factor v(b).
(b - 1)**2
Let j(a) = -23*a**5 - 7*a**4 + 38*a**3 + 22*a**2 - 23*a - 23. Let b(f) = -8*f**5 - 2*f**4 + 13*f**3 + 7*f**2 - 8*f - 8. Let d(o) = 8*b(o) - 3*j(o). Factor d(n).
5*(n - 1)**2*(n + 1)**3
Solve 0 + 4/9*r**3 + 0*r**2 - 2/9*r**4 + 0*r - 2/9*r**5 = 0 for r.
-2, 0, 1
Let z = -593/9 - -66. Let t(i) be the third derivative of 0*i - 23/360*i**6 - 3/20*i**5 - 1/90*i**7 + 0 - 13/72*i**4 - z*i**3 + 2*i**2. Factor t(w).
-(w + 1)**3*(7*w + 2)/3
Let n(u) be the first derivative of 7*u**3/5 + 9*u**2 + 24*u/5 + 10. Factor n(f).
3*(f + 4)*(7*f + 2)/5
Solve 32*d + 16/3 + 44/3*d**2 = 0.
-2, -2/11
Let r(n) = -n - 4. Let x be r(-9). Find v, given that 0 - 8/3*v**3 + 2*v**4 - 1/3*v + 3*v**x - 2*v**2 = 0.
-1, -1/3, 0, 1
Suppose -3 - 5 = v. Let s(j) = -j**3 + 11*j**2 + 15*j + 8. Let d(k) = -2*k**3 + 16*k**2 + 22*k + 12. Let a(n) = v*s(n) + 5*d(n). Factor a(t).
-2*(t + 1)**2*(t + 2)
Let r(s) be the second derivative of -4/33*s**3 + 1/66*s**4 + 4/11*s**2 + 3*s + 0. Let r(i) = 0. Calculate i.
2
Let z(o) be the third derivative of -3*o**2 - 1/224*o**8 - 3/40*o**6 - 1/10*o**5 + 0 - 1/35*o**7 - 1/16*o**4 + 0*o**3 + 0*o. Find h such that z(h) = 0.
-1, 0
Let c(u) be the second derivative of 0 + 0*u**2 - 1/36*u**4 + 0*u**5 - 2*u + 1/6*u**3 + 1/540*u**6. Let b(n) be the second derivative of c(n). Factor b(i).
2*(i - 1)*(i + 1)/3
Let w = -18 - -6. Let o(s) = -3*s**2 - 8*s. Let d(t) = -8*t**2 - 20*t. Let q(m) = w*o(m) + 5*d(m). What is z in q(z) = 0?
-1, 0
Let j(r) be the second derivative of r**4/42 + 34*r**3/21 + 289*r**2/7 - 51*r. Factor j(k).
2*(k + 17)**2/7
Let v be (-5)/(10/((0 - 24)/6)). Suppose 4/7*k + 1/7 + 2/7*k**3 + 5/7*k**v = 0. Calculate k.
-1, -1/2
Let m be (-14)/20*16/(-28). Determine c so that 2/5*c**3 + 2/5 - 2/5*c**2 - m*c = 0.
-1, 1
Let g(d) be the third derivative of 1/180*d**6 + 1/3*d**4 - 13/180*d**5 + 0*d + 0 - 1/2*d**3 + 8*d**2. Find x such that g(x) = 0.
1/2, 3
Let b(r) = -r + 1. Let x be b(-5). Let s = x - 4. Factor 2*h - 3*h + 3*h + 4*h**s + 2*h**3.
2*h*(h + 1)**2
Let t(q) be the third derivative of q**6/660 - q**5/110 + q**4/44 - q**3/33 + 5*q**2. Factor t(g).
2*(g - 1)**3/11
Let h(k) be the second deri