 = s*q(r) - 5*l(r). Solve z(a) = 0 for a.
-1, 0
Let y(l) be the first derivative of -2*l**5/55 + 5*l**4/22 - 14*l**3/33 + 3*l**2/11 - 2. Factor y(o).
-2*o*(o - 3)*(o - 1)**2/11
Let m(f) be the first derivative of -5*f**6/6 + 2*f**5 - 5*f**4/4 - 8. Let m(d) = 0. Calculate d.
0, 1
Determine r so that -15/8 - 33/8*r - 21/8*r**2 - 3/8*r**3 = 0.
-5, -1
Let g(f) = 71*f**2 - 5*f. Let x be g(1). What is h in x*h + 240*h**4 - 81*h**2 - 12 - 201/2*h**3 - 225/2*h**5 = 0?
-2/3, 2/5, 1
Let j(d) be the second derivative of 54*d**6/5 + 126*d**5/5 + 13*d**4/3 - 56*d**3/3 + 8*d**2 + 3*d. Factor j(b).
4*(b + 1)**2*(9*b - 2)**2
Let z(b) = b**2 - b - 12. Let s be z(-3). Factor s - 1/4*h - 1/4*h**4 + 1/4*h**3 + 1/4*h**2.
-h*(h - 1)**2*(h + 1)/4
Suppose 4 = 2*q - 0*q. Suppose 5*o - 12 = 2*j, 3*o - 2*o + 3*j = 16. Factor -z**2 - z - o*z + 6*z + 0*z + q.
-(z - 2)*(z + 1)
Suppose -15 + 17 = x. Factor -2*k**4 - 2/7*k**x + 6/7*k**5 + 0*k + 0 + 10/7*k**3.
2*k**2*(k - 1)**2*(3*k - 1)/7
Let r(m) be the third derivative of 1/112*m**8 + 0 + 0*m**3 - 1/20*m**6 + 0*m - 3*m**2 + 0*m**7 + 0*m**5 + 1/8*m**4. Factor r(j).
3*j*(j - 1)**2*(j + 1)**2
Let i(g) be the first derivative of 8*g**3/3 - 5*g**2 + 8*g - 2. Let h(l) = -l + 1. Let k(v) = -8*h(v) + i(v). What is m in k(m) = 0?
0, 1/4
Let s = 29 + -29. Factor -1/4*h**3 + 0*h**2 + 1/4*h + s.
-h*(h - 1)*(h + 1)/4
Let g(t) be the first derivative of -t**4/16 + t**2/8 + 4. Factor g(p).
-p*(p - 1)*(p + 1)/4
Let d(l) = 200*l**4 + 410*l**3 + 280*l**2 + 78*l + 6. Let x(b) = b**2 + b + 1. Let a(o) = d(o) + 2*x(o). Solve a(h) = 0 for h.
-1, -2/5, -1/4
Let i(z) = -3*z**3 - 7*z**2 + 7*z - 7. Let s(m) = -2*m**3 - 3*m**2 + 3*m - 3. Let l(d) = -3*i(d) + 7*s(d). Factor l(f).
-5*f**3
Let n(v) be the first derivative of v**4/6 - 4*v**3/3 + 4*v**2 + v - 6. Let b(z) be the first derivative of n(z). Factor b(j).
2*(j - 2)**2
Let q = 21 + -17. Factor q*w**3 + 5 + 12 + 1 - 22*w**2 + 24*w.
2*(w - 3)**2*(2*w + 1)
Solve -53*s**3 + 3*s**4 + 60*s**3 - 8*s + s**5 - 2*s**4 - s**2 - 4 + 4*s**4 = 0.
-2, -1, 1
Suppose -3*k = -15, -z - z - 2*k = -14. Factor 1/3 + 1/3*b - 1/3*b**z - 1/3*b**3.
-(b - 1)*(b + 1)**2/3
Suppose -3 = x - 4*x, 5*g - 20 = 5*x. Let j(m) = -2*m**3 + 3*m**2 - 5*m + 9. Let i(p) = -p**3 + 2*p**2 - 3*p + 4. Let h(v) = g*i(v) - 2*j(v). Factor h(z).
-(z - 2)*(z - 1)**2
Let b = 53/22 + 23/11. Suppose b*r**3 + 1/2 + 3/2*r**2 - 5/2*r = 0. What is r?
-1, 1/3
Let n(d) be the second derivative of d**5/50 - d**4/10 + 2*d**3/15 + 12*d. Factor n(k).
2*k*(k - 2)*(k - 1)/5
Let k = 228 - 102. Let r be 159/k - (-1)/6. Factor -r*a**2 + 0 + 6/7*a**3 + 4/7*a.
2*a*(a - 1)*(3*a - 2)/7
Let o(f) be the first derivative of -f**6/180 + f**5/30 - f**4/12 - 7*f**3/3 - 2. Let k(q) be the third derivative of o(q). Factor k(x).
-2*(x - 1)**2
Let g(r) = -2*r**4 + 6*r**3 - 2*r**2 - 2*r. Let p(z) = -5*z**4 + 13*z**3 - 4*z**2 - 4*z. Let u(i) = -9*g(i) + 4*p(i). Let u(t) = 0. Calculate t.
-1, 0, 1
Let g = 36 + -31. Let r(f) be the first derivative of 0*f**3 + 1/18*f**4 + 1/27*f**6 - 4/45*f**g + 0*f + 0*f**2 + 1. Let r(s) = 0. What is s?
0, 1
Let p(a) be the first derivative of -2*a**3/3 - 4*a**2 - 8*a - 50. Let p(v) = 0. What is v?
-2
Let y(q) be the second derivative of 1/63*q**7 + 1/45*q**6 - q + 1/3*q**2 - 1/15*q**5 + 0 - 1/9*q**4 + 1/9*q**3. Factor y(r).
2*(r - 1)**2*(r + 1)**3/3
Let f(r) be the second derivative of -1/3*r**3 + 0*r**2 + 0 - 2*r - 1/6*r**4. Let f(q) = 0. Calculate q.
-1, 0
Let t be (4/(-10))/(5/(-10)). Solve 64/5*u**5 - 192/5*u**4 + 38/5*u**2 + t - 6*u + 116/5*u**3 = 0 for u.
-1/2, 1/4, 1, 2
Let a be (30/(-20))/(2/(-4)). Let j(t) be the third derivative of 1/20*t**5 + 1/24*t**4 + 0 + 1/210*t**7 + 0*t**a + 1/40*t**6 + 2*t**2 + 0*t. Solve j(p) = 0.
-1, 0
Suppose 5*n + 5*l + 8 - 53 = 0, -2*n - 3*l = -19. Let z = n - 6. Factor -2/3*o**5 + 0 + 0*o**z + 0*o**4 + 4/3*o**3 - 2/3*o.
-2*o*(o - 1)**2*(o + 1)**2/3
Factor -6/11*d**3 + 0 - 2/11*d**5 + 2/11*d**2 + 6/11*d**4 + 0*d.
-2*d**2*(d - 1)**3/11
Let x(m) be the second derivative of -m**5/10 + m**3/3 + 27*m. Factor x(g).
-2*g*(g - 1)*(g + 1)
Let p(b) be the third derivative of -b**6/60 - b**5/30 + 14*b**2. Factor p(q).
-2*q**2*(q + 1)
Solve -2*h**4 + 4*h**3 - 2*h**4 - 8*h**3 = 0.
-1, 0
Let q(m) be the second derivative of 0*m**3 + 0*m**2 - 1/30*m**4 + 0 - 3/25*m**5 - 8/105*m**7 - m - 4/25*m**6. Factor q(w).
-2*w**2*(2*w + 1)**3/5
Let x be 3/12 + 4/48. Factor 1/3*t**2 - 1/3 - x*t**3 + 1/3*t.
-(t - 1)**2*(t + 1)/3
Factor 0 - 12/5*n**3 + 0*n + 12/5*n**4 + 3/5*n**2.
3*n**2*(2*n - 1)**2/5
Let a(m) be the third derivative of m**5/240 + m**4/96 - m**3/12 + 4*m**2. Factor a(w).
(w - 1)*(w + 2)/4
Let b be ((-8)/6)/((-4)/6). Find v such that -v**2 + 2*v**2 + 5*v**2 + b*v + 0*v = 0.
-1/3, 0
Let p(c) = c**3 - 3*c**2 - 5*c + 6. Let z be p(4). Let g = 33/65 + 6/65. Factor -a**3 - g*a**5 + 0 + 7/5*a**4 + 0*a + 1/5*a**z.
-a**2*(a - 1)**2*(3*a - 1)/5
Let t be 1 + (4 - 9) + (-84)/(-18). Factor t*i**2 + 2/3 - 4/3*i.
2*(i - 1)**2/3
Let z = -145 + 145. Let m(a) be the second derivative of 0*a**2 + 1/70*a**5 - 3*a + 0*a**3 - 1/105*a**6 + 0 + z*a**4. Factor m(t).
-2*t**3*(t - 1)/7
Let z be (-12)/(-8) - 4/(-2 - 6). Solve 3/4*n**4 + 1/4*n + 5/4*n**z + 0 + 7/4*n**3 = 0.
-1, -1/3, 0
Let z(v) be the first derivative of 2 + 0*v - 8/9*v**3 + 4/3*v**2 + 1/6*v**4. Factor z(w).
2*w*(w - 2)**2/3
Let x(c) be the second derivative of 0 - c + 0*c**2 - 1/70*c**5 + 0*c**3 - 1/14*c**4. Factor x(o).
-2*o**2*(o + 3)/7
Suppose 9 = 52*i - 49*i. Solve 2*o + 4/5 + 6/5*o**2 - 2/5*o**4 - 2/5*o**i = 0 for o.
-1, 2
Let j be (-1)/(-7 + 24/6). Let i(m) be the first derivative of 1/8*m**4 + 0*m + j*m**3 + 1/4*m**2 - 2. Factor i(p).
p*(p + 1)**2/2
Suppose 7 = 22*w - 59. Suppose -3/4*g**2 - 1/4*g**w + 0*g + 0 = 0. What is g?
-3, 0
Suppose -4/3 + 0*l + 1/3*l**2 = 0. What is l?
-2, 2
Let v = 70 - 65. Let x(h) be the third derivative of 0*h**v + 0*h**3 - h**2 + 0*h + 0 + 0*h**4 + 0*h**6 - 1/735*h**7. Factor x(o).
-2*o**4/7
Let s be 6/(-12) - (-60)/56. Factor -10/7*z**2 + s - 6/7*z.
-2*(z + 1)*(5*z - 2)/7
Let n(k) be the second derivative of 1/6*k**4 + 0*k**2 - k + 2/3*k**3 + 0. Factor n(q).
2*q*(q + 2)
Let v(r) = -7*r**2 + 13. Let c(y) = 48*y**2 - 92. Let u(q) = 3*c(q) + 20*v(q). Factor u(h).
4*(h - 2)*(h + 2)
Suppose -w = 4*j - 24, 3*j - 7*j + 4 = -4*w. Factor -16*a**3 + a**5 - 4*a**5 - a**j + 12*a**4 + 4*a**2 + 4*a**3.
-4*a**2*(a - 1)**3
What is r in 1 + 6*r + 8*r**2 + 4*r + 1 = 0?
-1, -1/4
Let g = -35 + 141/4. Factor 0 + 1/4*d**2 - g*d**4 - 1/4*d**3 + 1/4*d.
-d*(d - 1)*(d + 1)**2/4
Let b(t) be the first derivative of -2*t**3/3 - t**2 + 12*t - 13. Suppose b(l) = 0. What is l?
-3, 2
Factor -2/3*q**2 - 4/3*q + 0.
-2*q*(q + 2)/3
Let j(f) be the second derivative of -5*f**4/36 + 5*f**2/6 + 9*f. Factor j(o).
-5*(o - 1)*(o + 1)/3
Let g(a) be the first derivative of -a**5/10 - a**4/6 + a**3/3 + a**2 - a - 2. Let v(x) be the first derivative of g(x). Suppose v(t) = 0. Calculate t.
-1, 1
Let g(a) be the first derivative of 4 + 0*a**2 - 1/3*a**6 - 4/35*a**5 + 0*a + 4/21*a**3 + 1/2*a**4. Determine h so that g(h) = 0.
-1, -2/7, 0, 1
Let x = 34 - 34. Let d(m) be the second derivative of 2/15*m**3 - m + 0 + x*m**2 + 1/6*m**4 + 3/50*m**5. Determine w, given that d(w) = 0.
-1, -2/3, 0
Suppose 4*y - y = 7*y. Let a(h) be the first derivative of 1/6*h**4 + 0*h**2 + y*h + 2/9*h**3 - 1. Factor a(j).
2*j**2*(j + 1)/3
Let r(a) be the first derivative of 3 + 0*a + 8/45*a**5 + 0*a**2 - 1/9*a**6 + 5/18*a**4 - 4/27*a**3. Find y, given that r(y) = 0.
-1, 0, 1/3, 2
Let a(x) be the third derivative of -x**8/392 + x**7/735 + x**6/210 + 9*x**2. Find o such that a(o) = 0.
-2/3, 0, 1
Suppose -8 - 2 = -5*t. Factor -5*g**4 - 4*g**3 - 7*g**4 + 2*g**5 + t*g**4 + 12*g**5.
2*g**3*(g - 1)*(7*g + 2)
Let b(p) be the second derivative of -p**7/2835 - p**6/1080 + p**5/540 + p**4/12 - p. Let m(d) be the third derivative of b(d). What is j in m(j) = 0?
-1, 1/4
Let b(v) be the third derivative of v**6/1620 - v**5/540 - v**4/54 + v**3/2 - 3*v**2. Let l(s) be the first derivative of b(s). Let l(c) = 0. Calculate c.
-1, 2
Let s(m) = -m + 4. Let t be s(-8). Suppose t = 5*r - 3. Factor 2*a + 0 - 2*a**r + 4 + 2*a**4 + 0*a**2 - 6*a**2.
2*(a - 2)*(a - 1)*(a + 1)**2
Let k(y) be the third derivative of 3*y**8/112 - y**7/70 -