(o).
-(o - 1)**2
What is c in -3*c**2 - 6*c + 0*c + 6*c + c**3 = 0?
0, 3
Let i(m) be the second derivative of -m**5/30 + 5*m**4/12 - 4*m**3/3 - 11*m**2/2 - 5*m. Let v(w) be the first derivative of i(w). Factor v(f).
-2*(f - 4)*(f - 1)
Let s(d) be the second derivative of -d**6/75 - d**5/25 + d**4/30 + 2*d**3/15 - 9*d. Determine q so that s(q) = 0.
-2, -1, 0, 1
Determine s so that 14*s**5 - 2*s**4 - 4*s + 4*s**2 - 6*s**5 - 9*s**5 + 0*s**2 + 3*s**3 = 0.
-2, 0, 1
Let u(a) be the first derivative of -a**3/5 - 3*a**2/10 + 6*a/5 + 2. Factor u(k).
-3*(k - 1)*(k + 2)/5
Let t(u) be the second derivative of 2*u**7/21 + 2*u**6/15 - 2*u**5/5 - 59*u. Determine r so that t(r) = 0.
-2, 0, 1
Let r = 56 + -223/4. Let f(k) be the first derivative of -2/3*k**3 + 1/2*k**2 + 0*k + r*k**4 - 3. Solve f(c) = 0 for c.
0, 1
Let x(s) be the first derivative of -2*s**3/3 - 4*s**2 - s + 3. Let l(d) = d**2 + 4*d. Let b(j) = -7*l(j) - 4*x(j). Factor b(w).
(w + 2)**2
Let g(b) = -2 + 4*b - 3*b + 15. Let i be g(-10). Factor -i*p**4 - p**5 - p**2 + 0*p**2 + p**3 + 4*p**4.
-p**2*(p - 1)**2*(p + 1)
Let a = -11 - -14. Let x be 7/2 + 4/8. Find b, given that b**4 - 2*b**4 - b**x - 4*b**a = 0.
-2, 0
Let g(x) = 3 - x**3 + 2*x**3 - x**2 + 0. Let y be g(0). Find a such that 1/2*a**4 + y*a**2 + 2*a**3 + 1/2 + 2*a = 0.
-1
Let i(b) be the first derivative of -6/5*b**4 - 108/5*b**2 + 2/25*b**5 + 162/5*b + 8 + 36/5*b**3. Factor i(c).
2*(c - 3)**4/5
Let w(k) be the third derivative of k**6/540 + 2*k**5/135 + k**4/36 + 6*k**2. Find t, given that w(t) = 0.
-3, -1, 0
Let v = 0 + -3. Let t(i) = 2*i**2 + i - 1. Let x(f) = 3*f**2 + f - 2. Let q(m) = v*x(m) + 5*t(m). Factor q(l).
(l + 1)**2
Find x, given that 2/7*x - 10/7*x**2 + 6/7*x**3 + 2/7 = 0.
-1/3, 1
Let g(c) be the first derivative of -c**3/9 + c**2/2 - 2*c/3 + 4. Factor g(n).
-(n - 2)*(n - 1)/3
Let r(g) = 2*g**3 - 15*g**2 - 7*g - 6. Let d be r(8). Let h(a) be the first derivative of -3 + d*a**2 + 0*a - 2/3*a**3. Determine s so that h(s) = 0.
0, 2
Let a(q) be the first derivative of 0*q**2 - 1/3*q**3 + 5 + q. Solve a(n) = 0 for n.
-1, 1
Let z(m) = -2*m**2 - 2*m**2 - 3*m**2 - 3*m - 5. Let n(s) = -8*s**2 - 4*s - 6. Let b(g) = -5*n(g) + 6*z(g). What is a in b(a) = 0?
0, 1
Let n(a) = -8*a**4 + 5*a**2 + 11*a + 3. Let o(q) = 4*q**4 - 2*q**2 - 6*q - 2. Let c(p) = -6*n(p) - 11*o(p). Factor c(d).
4*(d - 1)**2*(d + 1)**2
Let f(w) be the first derivative of w**5/6 - 37*w**4/24 + 89*w**3/18 - 25*w**2/4 + 3*w - 27. Suppose f(n) = 0. Calculate n.
2/5, 1, 3
Suppose 2 = -4*v + 10. Find h such that -3*h + 11*h - 2 + 2 + 4*h**v = 0.
-2, 0
Let g(i) be the first derivative of 1/2*i**2 + 0*i**3 - 3 + 0*i + 0*i**5 + 1/6*i**6 - 1/2*i**4. Find n, given that g(n) = 0.
-1, 0, 1
Suppose -21*a = -3*a - 72. Let c(r) be the first derivative of 0*r - 2/7*r**3 - 4 + 2/7*r**a - 1/7*r**2. Factor c(q).
2*q*(q - 1)*(4*q + 1)/7
Let w(a) be the first derivative of 2*a**5/35 - a**4/14 - 2*a**3/7 + a**2/7 + 4*a/7 - 7. Factor w(h).
2*(h - 2)*(h - 1)*(h + 1)**2/7
Find y, given that y**3 - 2*y**2 - y**5 + y**3 + 0*y**2 + 2*y**4 - y**5 = 0.
-1, 0, 1
Let w = 26 + -26. Suppose -2*q - 2 = -5*k, -q = 3*k + 1 - w. Factor 0*x**3 - 2/5*x + 2/5*x**5 - 4/5*x**2 + k + 4/5*x**4.
2*x*(x - 1)*(x + 1)**3/5
Suppose 0 = 3*h - 6 - 0. Suppose -2*f - h*f = 0. Factor 0*p + f*p + 2*p**4.
2*p**4
Determine s, given that 4/23 + 2/23*s - 2/23*s**2 = 0.
-1, 2
Let r(g) be the first derivative of -1/4*g + 1/40*g**5 - 3/32*g**4 + 3/16*g**2 + 1/24*g**3 + 2. Factor r(l).
(l - 2)*(l - 1)**2*(l + 1)/8
Suppose -3*n = -6 - 3. Suppose -y - n*y = -8. Factor -1/4*d**5 + 0*d + 0 + 1/4*d**4 + 0*d**y + 0*d**3.
-d**4*(d - 1)/4
Let o be -5 - (-8)/((-32)/(-38)). Factor 27/4 + o*g + 3/4*g**2.
3*(g + 3)**2/4
Solve 34/9*w - 4/3*w**2 + 2/3 = 0.
-1/6, 3
Let h(r) be the first derivative of 0*r + 0*r**3 + 4 - 1/2*r**4 - 1/5*r**5 + 0*r**2. Solve h(p) = 0.
-2, 0
Let m = -494562/7 - -70805. Let i = -153 + m. Let -i - 4/7*w**2 - 6/7*w = 0. Calculate w.
-1, -1/2
Let g = -4/5 - -1. Let i(t) be the first derivative of g*t**5 + 2 - 3/4*t**4 + 0*t - 1/2*t**2 + t**3. Factor i(p).
p*(p - 1)**3
Let w(b) = -b**4 + 21*b**3 + 15*b**2 + 5*b. Let d(v) = -v**4 + 41*v**3 + 30*v**2 + 10*v. Let q(x) = -6*d(x) + 11*w(x). Let q(c) = 0. What is c?
-1, 0
Let w(t) be the second derivative of 1/6*t**4 - t**3 + 2*t**2 + 0 - 3*t. What is h in w(h) = 0?
1, 2
Let g be (0 - 1) + 2 - -4. Find b such that -2*b**3 + b**5 + 2*b**5 - b**g = 0.
-1, 0, 1
Let t(k) be the first derivative of 20*k**5 - 115*k**4/2 + 62*k**3 - 32*k**2 + 8*k - 6. Find v such that t(v) = 0.
2/5, 1/2, 1
Let u(s) = -2*s**2 - 17*s - 23. Let d(o) = o + 1. Let k(v) = 5*d(v) + u(v). Determine t so that k(t) = 0.
-3
Let q(g) be the second derivative of -g**7/63 - g**6/27 - g**5/90 + g**4/54 + 27*g. Let q(s) = 0. Calculate s.
-1, 0, 1/3
Factor 0*r**3 + 0*r**3 - 780*r**4 + 781*r**4.
r**4
Let o(k) be the third derivative of -k**8/1512 + k**7/189 - 2*k**6/135 + 2*k**5/135 - 2*k**2 + 43. Factor o(d).
-2*d**2*(d - 2)**2*(d - 1)/9
Solve 2/3 - 2*i - 8/3*i**2 = 0 for i.
-1, 1/4
Let t(b) be the second derivative of -2*b**7/21 - 2*b**6/15 + 3*b**5/5 + b**4/3 - 4*b**3/3 - 13*b. Determine f, given that t(f) = 0.
-2, -1, 0, 1
Let b(r) be the second derivative of r**4/42 - r**2/7 + 9*r + 3. Factor b(p).
2*(p - 1)*(p + 1)/7
Suppose -4*d = -2*h - 12, -5*d - h + 5 + 10 = 0. Determine q so that -1/5*q**3 - 7/5*q**2 - 9/5 - d*q = 0.
-3, -1
Let r(u) be the third derivative of u**8/168 + 2*u**7/105 - u**5/15 - u**4/12 + 10*u**2. Determine h, given that r(h) = 0.
-1, 0, 1
Suppose 0 = y + y - 28. Let z be -3 - (-2 + y/(-8)). Factor 0*t + 3/4 - z*t**2.
-3*(t - 1)*(t + 1)/4
Let r(w) = w**4 - w**3 - 2*w**4 - 3*w**2 + 3 + 4*w**2 - 4. Let n(b) = -b**3 + b**2 - 1. Let j(p) = 3*n(p) - 3*r(p). Solve j(k) = 0.
0
Let a = -3 + 7. Factor -3*y**2 + y**3 + 2*y**3 - a*y + y**4 + y + 2*y**4.
3*y*(y - 1)*(y + 1)**2
Let t(w) be the first derivative of 2*w**5/15 - 4*w**3/9 + 2*w/3 - 9. Determine s so that t(s) = 0.
-1, 1
Let c(o) = 4*o**2 + 5*o + 7. Let v be c(-3). Factor 8*l + 92 - 11*l + 35*l + 4*l**2 - v.
4*(l + 4)**2
Let g be 0 + (-4)/(-14) - 36/(-21). Factor -2/7*x**4 + 0*x + 0*x**3 + 0 + 2/7*x**g.
-2*x**2*(x - 1)*(x + 1)/7
Let k(d) be the second derivative of d**4/24 - d**3/12 - d**2/2 + 4*d. Factor k(z).
(z - 2)*(z + 1)/2
Let t(y) = 2*y**2 + 4*y + 2. Let j be t(-2). Let 2*n - 2*n**j + 5*n**2 - n = 0. What is n?
-1/3, 0
Let i be (-12)/(-9)*4/8. Let r be 2/(-3)*2/(-4). Factor -r - 1/3*v**2 + i*v.
-(v - 1)**2/3
Let f(w) be the first derivative of 6*w**5/25 - 4*w**4/5 + 14*w**3/15 - 2*w**2/5 - 1. Factor f(m).
2*m*(m - 1)**2*(3*m - 2)/5
Let c(a) be the second derivative of a**7/126 + a**6/15 + 7*a**5/30 + 4*a**4/9 + a**3/2 + a**2/3 + 10*a. What is m in c(m) = 0?
-2, -1
Suppose 0 = -2*x + 2 + 2. Suppose -3 - x = -u. Solve -3*z**3 + 4*z**3 + 2*z**5 - 2*z**4 - 5*z**u = 0 for z.
-1, 0, 1/3
Let g(v) be the second derivative of v**7/11340 - v**6/1080 + v**5/270 + v**4/12 - 2*v. Let z(q) be the third derivative of g(q). Factor z(r).
2*(r - 2)*(r - 1)/9
Let 7/6*u**4 + 0*u + 1/3*u**5 + 0 - 1/2*u**2 + 1/3*u**3 = 0. Calculate u.
-3, -1, 0, 1/2
Suppose -59 + 5 = -18*t. Factor 2/11*v**t + 0*v + 0 + 6/11*v**2.
2*v**2*(v + 3)/11
Let p(n) = 4*n**4 - 4*n**2 + 3*n. Let o(j) = 4*j**4 - 4*j**2 + 2*j. Let a(h) = -3*o(h) + 2*p(h). Factor a(w).
-4*w**2*(w - 1)*(w + 1)
Let -2 - 8*t - 2 + t**5 + 8*t**3 + 5*t**4 - t**2 - t**3 = 0. What is t?
-2, -1, 1
Let t(n) be the second derivative of 5*n**7/378 + 11*n**6/135 + 19*n**5/90 + 8*n**4/27 + 13*n**3/54 + n**2/9 + 10*n. Find q, given that t(q) = 0.
-1, -2/5
Let y(q) = -9*q**3 + 2*q**2 + 2*q + 1. Let d be y(-1). Let g be (d - 2) + (-1)/1. Factor -c**2 - 3*c**4 + 3*c**3 + c**5 - 7*c + g*c.
c**2*(c - 1)**3
Let q(y) = 9*y**2 - y + 1. Let u be q(1). Suppose u*s - 4*s - 50 = 0. Suppose -4*x - s*x**2 - 3*x**4 - 2 - 11*x**3 - 5*x - 5*x**2 = 0. Calculate x.
-1, -2/3
Suppose -1 - 1/2*g**2 - 3/2*g = 0. Calculate g.
-2, -1
Factor -9*l - 8 - 3*l + 0*l - 4*l**2.
-4*(l + 1)*(l + 2)
Suppose 6 = 3*y - 3*u, 5*y + 9*u - 16 = 8*u. Factor -1 - 11/4*s**2 + 3/4*s**3 + y*s.
(s - 2)*(s - 1)*(3*s - 2)/4
Let v(r) be the first derivative of -r**8/6720 + r**7/3360 + r**6/720 + 7*r**3/3 - 6. Let u(g) be the third derivative of v(g). What is f in u(