 the first derivative of 0*y - 1/12*y**4 - 2 + 0*y**2 + 0*y**f + 1/15*y**5. Factor m(r).
r**3*(r - 1)/3
Let q(c) be the first derivative of -c**8/420 - c**7/210 - c**6/360 + c**3/3 - 4. Let v(j) be the third derivative of q(j). Suppose v(b) = 0. What is b?
-1/2, 0
Let k(q) be the first derivative of 2*q**3/15 - 2*q**2/5 - 3. Solve k(o) = 0.
0, 2
Let v(o) = -o**2 - 9*o - 5. Suppose -b - 8 = -0*b. Let j be v(b). Factor 2*k**j - 4*k + 2*k**2 + 4*k.
2*k**2*(k + 1)
Let h(v) = -v**2 + 1. Let i(u) = -3*u**3 + 3*u. Let c(d) = 3*h(d) + i(d). Factor c(y).
-3*(y - 1)*(y + 1)**2
Let w(s) = 2*s**3 + 2*s**2 + 8*s - 6. Let a(o) = 2*o**3 + o**2 + 7*o - 5. Let t(n) = n**2 - 5*n + 5. Let f be t(5). Let u(g) = f*w(g) - 6*a(g). Factor u(y).
-2*y*(y - 1)**2
Let l(a) be the second derivative of 1/84*a**4 - 1/210*a**5 + 1/3*a**3 + 2*a + 0 + 1/1260*a**6 + 0*a**2. Let z(u) be the second derivative of l(u). Factor z(o).
2*(o - 1)**2/7
Suppose 4*w - 11 = -3*a + 2, -3 = -3*w. Let l(j) be the third derivative of 0 + 0*j**3 + a*j**2 + 1/240*j**5 + 0*j + 1/96*j**4. Suppose l(t) = 0. What is t?
-1, 0
Let a = -16 + 20. Let g(y) be the third derivative of -1/48*y**a - y**2 - 1/24*y**3 - 1/240*y**5 + 0 + 0*y. Let g(m) = 0. Calculate m.
-1
Let j = 2515/9 + -279. Find p such that -10/9*p**3 - 16/9*p**2 + j - 2/9*p = 0.
-1, 2/5
Let h(l) be the second derivative of -l**4/3 - 16*l**3/3 - 32*l**2 + 8*l. Factor h(y).
-4*(y + 4)**2
Suppose -12*z**2 + 7*z**2 + 5*z**2 - 3*z**2 = 0. Calculate z.
0
Let q(l) be the second derivative of l**6/60 - l**5/40 - l**4/8 + l**3/12 + l**2/2 + 35*l. Let q(v) = 0. Calculate v.
-1, 1, 2
Let i(d) be the second derivative of d**4/3 - 2*d**3 + 4*d**2 + 10*d + 2. Let i(o) = 0. What is o?
1, 2
Let r(a) be the first derivative of -a**6/6 - a**5/5 + a**4/2 + 2*a**3/3 - a**2/2 - a + 4. Solve r(k) = 0 for k.
-1, 1
Let a be 14/4 + (-9)/(-6). Factor -6*c**3 + c**3 - 3*c**5 + 2*c**3 + 2*c**2 + 4*c**a.
c**2*(c - 1)**2*(c + 2)
Let i = -1758/5 - -352. Let 0*z + 2/5*z**3 + 2/5*z**2 - 2/5*z**4 - i*z**5 + 0 = 0. Calculate z.
-1, 0, 1
Factor 0*j - 1/2*j**5 + 3/4*j**4 + 0*j**3 - 1/4*j**2 + 0.
-j**2*(j - 1)**2*(2*j + 1)/4
Factor -20*i**2 + 20*i**3 - 20*i**4 + 5*i**5 + 7*i - 2*i + 10*i**3.
5*i*(i - 1)**4
Let y = -5 + 4. Let c(w) = -w**3 - w. Let h be c(y). Factor 4*d**2 + 3*d - 3*d - h*d**2.
2*d**2
Let c(x) = -2*x**4 - 14*x**3 - 32*x**2 - 40*x - 12. Let t(h) = 6*h**4 + 42*h**3 + 97*h**2 + 120*h + 37. Let b(s) = -11*c(s) - 4*t(s). Factor b(a).
-2*(a + 1)*(a + 2)**3
Solve 2 + 1/4*m**3 - 1/2*m**2 - m = 0.
-2, 2
Let n be ((-4)/(-6))/(15/9). Let v = 1029/5 - 205. Factor 2/5*l**2 + n + v*l.
2*(l + 1)**2/5
Let z(u) = -4*u**3 - 6*u**2 + 10*u + 12. Let o(n) = n**3 - n - 1. Let x be 1/(-7)*-6*21. Let c be x/22 - (-2)/11. Let g(h) = c*z(h) + 12*o(h). Factor g(t).
2*t*(t - 1)*(4*t + 1)
Let y be (-306)/(-63) - (1 + 3). Factor -y*q**3 + 0 - 6/7*q**2 - 2/7*q - 2/7*q**4.
-2*q*(q + 1)**3/7
Let v = 1 - -1. Let s(n) be the third derivative of -1/60*n**6 - 2/15*n**5 + 0*n + 0*n**3 - 1/3*n**4 - 3*n**v + 0. Factor s(g).
-2*g*(g + 2)**2
Let l(n) = n + 9. Let v be l(-7). Solve 3*h - h**3 + 3*h - h**3 + 9*h**v + 5*h**3 = 0.
-2, -1, 0
Factor -4/9*f**3 + 0*f**2 + 0*f**4 + 0 + 2/9*f + 2/9*f**5.
2*f*(f - 1)**2*(f + 1)**2/9
Let r(h) be the second derivative of -5*h**4/4 - 3*h**3/2 + 3*h**2 + 3*h. Factor r(j).
-3*(j + 1)*(5*j - 2)
Suppose -4*q = -2*i - 6, 0*q = 2*q + i - 5. Factor -2 + 7*j**3 - 3*j**3 - 6*j - 6*j**3 - 6*j**q.
-2*(j + 1)**3
Let r(h) be the second derivative of -5*h**7/42 - h**6/6 - 19*h. Factor r(v).
-5*v**4*(v + 1)
Let i(h) be the first derivative of 4/5*h**2 - 8/5*h - 2/15*h**3 - 5. What is s in i(s) = 0?
2
Factor 6*y**2 + 23*y - 2*y**2 + 5*y.
4*y*(y + 7)
Factor -z**3 + 3*z + 2*z**5 - 7*z**3 + z**5 + 2*z**3.
3*z*(z - 1)**2*(z + 1)**2
Let x = 44/39 + -1087/975. Let d(j) be the third derivative of 0 - 2*j**2 + 0*j - 7/150*j**5 + x*j**6 + 1/15*j**3 + 1/30*j**4. Factor d(i).
2*(i - 1)**2*(4*i + 1)/5
Let d(n) be the second derivative of -n**6/40 - 3*n**5/8 - 25*n**4/16 + 9*n. Determine z, given that d(z) = 0.
-5, 0
Let 2/7*r**3 + 16/7*r - 8/7 - 10/7*r**2 = 0. What is r?
1, 2
Let c(g) = 2*g**2 - 1. Let r(u) = 20*u**2 + 32*u - 88. Let x(f) = 8*c(f) - r(f). Factor x(j).
-4*(j - 2)*(j + 10)
Let n be 1/((-8)/(-18)) - 1/4. Factor -2/3*g - 1/3 - 1/3*g**n.
-(g + 1)**2/3
Let m(q) = -q**4 + q**3 - 3*q**2. Let s(n) = -3*n**4 + 2*n**3 - 8*n**2. Let g(o) = -8*m(o) + 3*s(o). Solve g(c) = 0.
-2, 0
Let f(l) be the third derivative of -l**8/84 + 4*l**7/35 - 13*l**6/30 + 4*l**5/5 - 2*l**4/3 - 3*l**2. What is g in f(g) = 0?
0, 1, 2
Let u(c) be the first derivative of c**6/21 - 4*c**5/35 - 29. Let u(i) = 0. What is i?
0, 2
Let n(l) = -l**3 + l. Let z(o) be the first derivative of -3*o**5/5 - 21*o**4/4 - 20*o**3/3 - o**2/2 - 7. Let t(y) = 21*n(y) - 3*z(y). Factor t(v).
3*v*(v + 2)**2*(3*v + 2)
Factor 3/5*v - 3/5*v**3 + 1/5*v**2 - 2/5 + 1/5*v**4.
(v - 2)*(v - 1)**2*(v + 1)/5
Let u(r) = 33*r**4 - 57*r**3 + 36*r**2 - 12*r. Let b(g) = 8*g**4 - 14*g**3 + 9*g**2 - 3*g. Let y(c) = -21*b(c) + 5*u(c). Determine f so that y(f) = 0.
0, 1
Factor -4*t**4 + 0*t + 4*t**2 + 2*t**5 - 6*t**3 - 2*t**3 + 6*t.
2*t*(t - 3)*(t - 1)*(t + 1)**2
Suppose -z = -2*z + 3. Factor 0*n**3 + 3 - n + n**3 - z.
n*(n - 1)*(n + 1)
Let u(l) be the first derivative of 2*l**3/21 + l**2/7 - 13. Factor u(m).
2*m*(m + 1)/7
Let f(z) be the first derivative of 2*z**5/5 + 3*z**4 + 6*z**3 + 4*z**2 + 6. Factor f(i).
2*i*(i + 1)**2*(i + 4)
Let i(a) be the first derivative of 1/36*a**6 + 1/18*a**3 + 0*a**2 + 1/8*a**4 - 3 + 1/10*a**5 + 0*a. Find u such that i(u) = 0.
-1, 0
Let b = -24 + 16. Let y be ((-11)/(-22))/((-6)/b). Let y + 1/3*z - z**2 = 0. Calculate z.
-2/3, 1
Let d = -200/3 + 67. Suppose -2/3 + 1/3*g**2 - d*g = 0. What is g?
-1, 2
Let z(k) = k**2 - 3*k + 2. Let q be z(2). Suppose q = -i + 2 + 2. Factor n**2 - n**4 + 2*n**i + 0*n**4 + 2*n**3.
n**2*(n + 1)**2
Let a(s) = 1. Suppose 0 = 3*n - 4*z + 4, 3*z + z = 4*n + 8. Let u(h) = 2*h**2 - 4. Let l(b) = n*a(b) - u(b). Factor l(o).
-2*o**2
Let a = 68 - 65. Let j(f) be the third derivative of 0*f - 3/70*f**7 - 1/6*f**a - f**2 + 0 + 1/30*f**5 + 1/6*f**4 - 1/10*f**6. Factor j(d).
-(d + 1)**2*(3*d - 1)**2
Let y(r) be the first derivative of -1/10*r**4 + 1/5*r**2 + 0*r + 0*r**3 + 4. Determine u, given that y(u) = 0.
-1, 0, 1
Let v = 11/36 - -1/36. Let p(i) be the third derivative of 0*i + 0 - 1/30*i**5 + 1/6*i**4 + i**2 - v*i**3. Factor p(n).
-2*(n - 1)**2
Factor 0*n**3 - 12*n**2 - 6*n - n**3 - 3*n**3 - 4 - 6*n.
-4*(n + 1)**3
Let n(b) be the second derivative of -1/3*b**3 + 0 - b + b**2 + 1/24*b**4. Factor n(h).
(h - 2)**2/2
Let n be ((-104)/32)/(-13) - (-14)/40. Determine y, given that n*y**2 - 1/5*y + 0 + 1/5*y**4 - 3/5*y**3 = 0.
0, 1
Let f = -26 - -31. Let x(h) be the second derivative of 0 - 1/75*h**6 - 1/25*h**f + 2/15*h**3 + 1/5*h**2 + 0*h**4 - 2*h. Factor x(q).
-2*(q - 1)*(q + 1)**3/5
Suppose 0*y + 0*y**2 - 1/4*y**3 + 0*y**4 + 0 + 1/4*y**5 = 0. What is y?
-1, 0, 1
Factor -5/2*j + 5 - 5/2*j**2.
-5*(j - 1)*(j + 2)/2
Let g = 9 + -6. Let j(w) be the first derivative of 0*w - 2/9*w**g - 1/3*w**2 - 1. Factor j(q).
-2*q*(q + 1)/3
Let c = 1/211 - -841/633. Find a, given that -c*a - 14/3*a**2 + 0 = 0.
-2/7, 0
Let r(i) = i - 15. Let z be r(10). Let x(a) = 4*a**2 - 4. Let o(w) = 9*w**2 - 9. Let c(k) = z*x(k) + 2*o(k). Find l such that c(l) = 0.
-1, 1
Let o = 88 + -88. Factor 2/5*w + o + 2/5*w**3 - 4/5*w**2.
2*w*(w - 1)**2/5
Suppose -t = -3*o - 10 - 1, -t + 13 = -5*o. Let u = 8 - t. Factor 0 - 2/5*i**3 + 2/5*i + u*i**2.
-2*i*(i - 1)*(i + 1)/5
Let k(d) = 2*d**2 - d - 2. Let m be k(2). Let i = m + -2. Factor a - 3*a**2 + 2 - 6*a**i - a**3 + 7*a**2.
-(a - 1)*(a + 1)*(a + 2)
Let t(y) be the first derivative of -18*y**5/25 + 5*y**4/2 - 8*y**3/5 - 4*y**2/5 + 10. Suppose t(c) = 0. Calculate c.
-2/9, 0, 1, 2
Let r(b) be the second derivative of -b**4/66 - b**3/33 - 8*b. Factor r(p).
-2*p*(p + 1)/11
Let o be 216/540*2/24*5. Factor 0*q**3 - 1/6*q**2 + o*q**4 + 0*q + 0.
q**2*(q - 1)*(q + 1)/6
Let l(v) = -v**3 + 9*v**2 - 7*v - 9. Let s be l(8). Let t be 25/20 - (-1)/s. Find a, given that 1/4*a**5 + 1/4*a**2 - 1/4*a**4 - t*a**3 + 0 + 0*a = 0.
-1, 0, 1
Factor 10 + 4*z + 2/5*z**2.
2*(z + 5)**2/5
Let w be (-2 + 24/15)*-90. Let u 