/10 + 9/45. Let j(c) be the first derivative of 2 + 1/2*c + 1/6*c**3 - w*c**2. Factor j(u).
(u - 1)**2/2
Let s(y) be the second derivative of -y**6/75 + 4*y**5/25 - 11*y**4/15 + 8*y**3/5 - 9*y**2/5 + 12*y. Factor s(a).
-2*(a - 3)**2*(a - 1)**2/5
Solve -b**2 - 1/4*b + 0 = 0.
-1/4, 0
Let s(y) be the first derivative of y**8/560 + y**7/140 - 5*y**3/3 + 6. Let x(z) be the third derivative of s(z). Suppose x(f) = 0. Calculate f.
-2, 0
Let h(v) be the third derivative of -v**5/45 - v**4/9 + 13*v**2. What is b in h(b) = 0?
-2, 0
Let n be 1*(-1)/(-2) + 0. Let z be (2 + (-16)/5)*-5 + -4. Let n*w**z + w + 1/2 = 0. What is w?
-1
Let o(m) = -2*m**3 + 12*m**2 + 10*m + 10. Let l(i) = i**2 + i + 1. Let w(p) = -10*l(p) + o(p). Suppose w(x) = 0. What is x?
0, 1
Suppose -h = -u + 7 + 1, -4 = -u - h. Let f(k) be the first derivative of 1/5*k**5 - 1/6*k**u + 1/4*k**4 + 0*k + 0*k**2 - 1/3*k**3 - 2. Factor f(r).
-r**2*(r - 1)**2*(r + 1)
Let w(u) be the second derivative of u**6/105 + u**5/14 + u**4/6 + u**3/7 - 13*u. Find v, given that w(v) = 0.
-3, -1, 0
Let v(o) be the first derivative of 5*o**3/4 - 9*o**2/8 - 3*o/2 + 1. What is l in v(l) = 0?
-2/5, 1
Let j(v) = -5*v**2 + 5*v**3 + 4*v**2 - 5*v**2 - 6*v. Let y(z) = 4*z**3 - 5*z**2 - 5*z. Let m(g) = 5*j(g) - 6*y(g). Solve m(u) = 0.
0
Let r(k) be the second derivative of k**7/14 + 2*k**6/5 + 9*k**5/20 - k**4 - 2*k**3 + 6*k. Factor r(a).
3*a*(a - 1)*(a + 1)*(a + 2)**2
Let a(w) be the first derivative of w**6/18 - 2*w**5/15 - w**4/12 + 2*w**3/9 + 10. Factor a(d).
d**2*(d - 2)*(d - 1)*(d + 1)/3
Let l be (1 + (-2)/6)*(-2 + 5). Factor l*r**2 - 4*r**3 + 1/4 + 7/4*r.
-(r - 1)*(4*r + 1)**2/4
Factor 9/2 + 3/2*t**2 - 6*t.
3*(t - 3)*(t - 1)/2
Let d(o) = -4*o + 3*o - 8 - 5. Let j be d(-16). Suppose -1/3*x**5 + 0 + 2/3*x**j - 1/3*x + 0*x**2 + 0*x**4 = 0. What is x?
-1, 0, 1
Let j be -2 + 2 + 4 + 0. Factor -h + 0*h**2 + 1 - h**2 + j*h**2 + h**3 - 4*h**2.
(h - 1)**2*(h + 1)
Let w = -5 + 1. Let x = 7 + w. Solve 1 + 4 - 1 + 4*h**2 - 14*h + 6*h**x = 0 for h.
-2, 1/3, 1
Let s(b) = -b**4 + b**3 + b**2 - b - 5. Let t(k) = -1. Let r be 1 + -5 + -11 + 10. Let g(p) = r*t(p) + s(p). Determine l, given that g(l) = 0.
-1, 0, 1
Let p be (-2 - -2)/(-3 + 1). Factor 0*v**3 + 2/5*v**2 + 1/5*v - 2/5*v**4 + p - 1/5*v**5.
-v*(v - 1)*(v + 1)**3/5
Determine d so that -20*d + d**5 - 2*d**5 - 4 - 28*d**2 + 32*d**4 + 6*d**5 + 11*d**5 + 4*d**3 = 0.
-1, -1/2, 1
Suppose -3*p + 2 = -4. Let j(x) be the second derivative of -x**4/12 + 10*x**3/3 + x. Let q(w) = -4*w. Let m(g) = p*j(g) + 11*q(g). Find b, given that m(b) = 0.
-2, 0
Let j(v) be the first derivative of v**6/18 - v**5/15 - v**4/4 + v**3/9 + v**2/3 - 9. Determine b, given that j(b) = 0.
-1, 0, 1, 2
Let t = 5 + -3. Let x be t/4 - 7/28. Factor x - 1/4*m**2 + 1/4*m**3 - 1/4*m.
(m - 1)**2*(m + 1)/4
Find g, given that -111/2*g**3 - 6*g + 45*g**4 + 0 + 30*g**2 - 27/2*g**5 = 0.
0, 2/3, 1
Let a(z) = -27*z**3 + 45*z**2 + 102*z + 36. Let y(u) = -27*u**3 + 45*u**2 + 101*u + 36. Let q(m) = 5*a(m) - 6*y(m). Factor q(d).
3*(d - 3)*(3*d + 2)**2
Suppose 11*p = 10*p + 5. Determine z, given that 12*z**4 + 24*z - 6*z**p + 4*z**2 - 13 - 22*z**3 + 2 + 4*z**5 - 5 = 0.
-1, 1, 2
Let s(j) be the first derivative of -j**6/40 + j**4/8 - j**2/2 + 4. Let w(y) be the second derivative of s(y). Factor w(d).
-3*d*(d - 1)*(d + 1)
Let l(i) be the second derivative of -1/135*i**6 + i + 1/54*i**4 + 0*i**3 + 1/90*i**5 - 1/189*i**7 + 0*i**2 + 0. Factor l(p).
-2*p**2*(p - 1)*(p + 1)**2/9
Let j = 9 + -8. Factor j + 1 - 6*n**2 + 10*n - 6.
-2*(n - 1)*(3*n - 2)
Suppose -v - 4*y - 6 = -y, -2*y - 9 = -v. Suppose -4*q = -2*g + 16, 3*g + q - 16 = v*q. Factor -2/9*z**g + 2/9*z**2 + 2/9*z**3 + 0 - 2/9*z.
-2*z*(z - 1)**2*(z + 1)/9
Let r be (-2 + 21/6)*504/182. Suppose 2/13*l**3 - 54/13 - 18/13*l**2 + r*l = 0. Calculate l.
3
Let v = -97/63 - -65/21. Let 4/9*x**2 - 4/9*x**4 + 0*x + 0 + v*x**3 - 14/9*x**5 = 0. Calculate x.
-1, -2/7, 0, 1
Let k(l) be the first derivative of -1/2*l**2 + 1 + 0*l**3 + 1/48*l**4 + 0*l + 1/240*l**6 + 1/60*l**5. Let z(q) be the second derivative of k(q). Factor z(i).
i*(i + 1)**2/2
Let t(w) be the first derivative of -2*w**4 - 2*w**2 + 10/3*w**3 + 0*w + 2/5*w**5 + 2. Solve t(d) = 0 for d.
0, 1, 2
Let y(c) be the third derivative of -c**5/480 - 3*c**4/32 - 27*c**3/16 + 19*c**2 - 2. Factor y(v).
-(v + 9)**2/8
Suppose 0*c = -5*c + 10, -r + 4 = c. Factor -13/2*b**r - 6*b - 2 - 3*b**3 - 1/2*b**4.
-(b + 1)**2*(b + 2)**2/2
Let o(h) be the second derivative of -h**5/210 - h**4/84 - 2*h**2 - 2*h. Let i(y) be the first derivative of o(y). Factor i(q).
-2*q*(q + 1)/7
Let v(h) be the first derivative of h**4/12 + h**3/10 - h**2/5 + h + 6. Let s(n) be the first derivative of v(n). Find z, given that s(z) = 0.
-1, 2/5
Solve 0*j + 0 + 1/4*j**3 - 1/4*j**2 = 0 for j.
0, 1
Suppose 0 = -0*x + 5*x - 10. Determine h, given that -h**2 + 2*h + x*h - 6*h = 0.
-2, 0
Let s(q) be the third derivative of q**4/24 + 2*q**2. Let g(b) = -b**2 + 2*b + 1. Let j(f) = g(f) - 2*s(f). Factor j(v).
-(v - 1)*(v + 1)
Factor -19*i**3 + 21*i - i + 9*i**3 - 15*i**3 + 40*i**2.
-5*i*(i - 2)*(5*i + 2)
Let c(k) be the third derivative of -13*k**6/30 + 18*k**5/5 - 10*k**4 + 16*k**3/3 + 27*k**2. Factor c(t).
-4*(t - 2)**2*(13*t - 2)
Let f = 1142/1419 - 32/43. Let u(g) be the second derivative of 2*g + 0 + 1/11*g**2 - f*g**3 + 1/66*g**4. Factor u(j).
2*(j - 1)**2/11
Suppose 3*j - 7 = 5. Solve m**4 + 2*m**4 - m**2 - m**5 - 2*m**j + m**3 = 0.
-1, 0, 1
Let k(r) be the third derivative of 1/3*r**3 + 1/540*r**5 + 0*r**4 + 0*r + 4*r**2 + 1/1620*r**6 + 0. Let o(w) be the first derivative of k(w). Factor o(f).
2*f*(f + 1)/9
Let m(j) = -j**3 - 5*j**2 + 3*j + 12. Let w be m(-5). Let g be 1/(-2) + (w - -4). Factor -1/4 - 1/4*c**2 - g*c.
-(c + 1)**2/4
Let o(d) be the first derivative of 2*d**3/9 + 2*d**2/3 + 3. Let o(l) = 0. Calculate l.
-2, 0
Factor 2/3*d - 1/3*d**2 + 0.
-d*(d - 2)/3
Let o be 28/(-8)*(-1 + 9/21). Factor -1/2 - 1/4*a + 1/4*a**o.
(a - 2)*(a + 1)/4
Let j be 3 + 0 - 147/(-60). Let g = j - 26/5. Determine n so that 0 + g*n**2 + 1/4*n = 0.
-1, 0
Let d be (-4)/8 + (-1)/(-2). Let h(j) be the second derivative of 5/12*j**3 + j - 1/2*j**2 - 1/8*j**4 + d. Let h(z) = 0. What is z?
2/3, 1
Let x(w) = 2*w**2 + 12*w + 21. Let b(l) = -4*l**2 - 24*l - 43. Let f(j) = -3*b(j) - 7*x(j). Solve f(y) = 0 for y.
-3
Let v(d) be the second derivative of d**7/28 - d**6/20 - 3*d**5/40 + d**4/8 - 15*d. Factor v(c).
3*c**2*(c - 1)**2*(c + 1)/2
Let k(u) be the second derivative of -u**6/660 + u**5/110 - u**4/66 + 2*u**2 - 2*u. Let w(p) be the first derivative of k(p). Determine f so that w(f) = 0.
0, 1, 2
Factor 3/4*a**3 + 9/4*a - 9/4*a**2 - 3/4.
3*(a - 1)**3/4
Let g = -17 - -19. Factor -4*l**3 + 13*l**2 - 9*l - 5*l**g + 5*l.
-4*l*(l - 1)**2
Let r = -223/28 - -33/4. Factor 0 - r*h**5 - 8/7*h**4 + 0*h - 10/7*h**3 - 4/7*h**2.
-2*h**2*(h + 1)**2*(h + 2)/7
Let g(t) be the first derivative of t**3/3 - 3*t**2/2 + 2*t - 14. Factor g(m).
(m - 2)*(m - 1)
Find q, given that 2*q**3 - q**2 + 33*q**4 - 32*q**4 + 0*q**3 + 2*q**2 = 0.
-1, 0
Find r, given that -6 + 17*r**3 - 2*r**3 - 15*r + 4*r**2 - 4*r**2 + 6*r**4 = 0.
-2, -1, -1/2, 1
Let u(v) be the first derivative of 0*v**2 + 0*v + 5 - 1/3*v**3 + 1/2*v**4 - 1/5*v**5. Let u(i) = 0. What is i?
0, 1
Let q(b) be the third derivative of -b**7/560 + b**6/48 - 7*b**5/80 + 3*b**4/16 + b**3/6 + 6*b**2. Let s(h) be the first derivative of q(h). Factor s(c).
-3*(c - 3)*(c - 1)**2/2
Let p be 50/(-8) + 20/80 + 6. Solve -2/13*o**4 + p*o + 0 + 0*o**2 + 2/13*o**3 = 0.
0, 1
Let p(d) be the second derivative of 1/30*d**5 + 0 + 0*d**3 + 4*d + 0*d**2 + 1/27*d**4 + 1/135*d**6. Factor p(g).
2*g**2*(g + 1)*(g + 2)/9
What is t in 2/13*t - 2/13*t**2 + 12/13 = 0?
-2, 3
Let t be (-4)/10 + (-219)/15. Let d be (-14)/(-6) + 5/t. Solve -18/5*h**3 + 4/5*h**d - 4/5 + 18/5*h = 0 for h.
-1, 2/9, 1
Let k = -2 + 7. Suppose f + 5*w + k - 18 = 0, 4*w - 17 = -3*f. Factor 4*c - 2 - 6*c**2 + 2*c + 2*c**f + 0.
2*(c - 1)**3
Solve 38/7*t**2 + 142/7*t**4 + 4/7*t + 120/7*t**3 + 8*t**5 + 0 = 0.
-1, -2/7, -1/4, 0
Let q(k) = 2*k**3 - 3*k**2 + k + 3. Let w = 1 + 3. Let i(m) = -4 + m + 8*m**2 - 6*m**3 - w*m - 4 + m. Let v(p) = -3*i(p) - 8*q(p). Factor v(u).
2*u*(u - 1)*(u + 1)
Let m be (-10)/95 + (-284)/190 + 