 - 4/5*f - 2/15*f**3. Factor m(a).
-2*(a - 2)*(a - 1)/5
Let h(j) be the first derivative of 1/12*j**4 + 0*j + 0*j**3 + 2*j**2 + 2 + 1/60*j**6 - 1/15*j**5. Let c(b) be the second derivative of h(b). Factor c(q).
2*q*(q - 1)**2
Suppose -2*q = -9*q. Let c(w) be the first derivative of 0*w**2 + 1 + q*w**5 + 0*w - 1/26*w**4 + 1/39*w**6 + 0*w**3. Let c(o) = 0. Calculate o.
-1, 0, 1
Solve -10*h**2 + 6 - 2*h**3 - 6 - 3*h**3 = 0 for h.
-2, 0
Let n = 2/2273 + -193233/31822. Let r = -11/2 - n. Factor 2/7*i**2 - 6/7*i**4 + r*i**3 + 0 + 0*i.
-2*i**2*(i - 1)*(3*i + 1)/7
Let v(f) be the first derivative of f**3/24 - 11*f**2/8 + 121*f/8 - 27. Factor v(l).
(l - 11)**2/8
Let j(a) be the first derivative of -3/2*a**2 - 1/2*a**6 + 7 + 4*a**3 - 6/5*a**5 - 6*a + 3/2*a**4. Find g such that j(g) = 0.
-2, -1, 1
Let x(k) = -4*k + 12*k**2 + 2*k + 12*k**3 - 12 + 0*k. Let i(p) = -p**3 - p**2 + 1. Let c(f) = -10*i(f) - x(f). Let c(j) = 0. What is j?
-1, 1
Let s(d) be the third derivative of -d**8/1344 - d**7/840 + d**6/240 + d**5/120 - d**4/96 - d**3/24 + 8*d**2. Factor s(r).
-(r - 1)**2*(r + 1)**3/4
Suppose 0 = -3*b - 4*p - 1, 8 = 4*b + 5*p - 2*p. Solve 4/3*t**4 + 0 + 0*t**3 + 2/3*t - 4/3*t**2 - 2/3*t**b = 0.
-1, 0, 1
Let u(n) be the first derivative of -1 + 5/3*n**3 + 7/5*n**5 + 9/4*n**4 + 1/3*n**6 + 0*n + 1/2*n**2. Solve u(a) = 0.
-1, -1/2, 0
Let s = 8 - 7. Let h be -2 + s - (-3)/2. Factor 1/4*n**2 - 3/4*n + h.
(n - 2)*(n - 1)/4
Let x be 774/24*1/(-30). Let a = -7/8 - x. Suppose 2/5*m**2 + 0 + 0*m - 3/5*m**3 + a*m**4 = 0. Calculate m.
0, 1, 2
Let u(w) = w**4 - 16*w**3 - 63*w**2 + 182*w - 100. Let y(k) = -4*k**4 + 47*k**3 + 190*k**2 - 547*k + 300. Let f(v) = 21*u(v) + 6*y(v). Solve f(c) = 0.
-10, 1
Let a(b) be the second derivative of 1/60*b**5 + 0*b**4 + 0*b**2 - 2*b - 1/18*b**3 + 0. Factor a(x).
x*(x - 1)*(x + 1)/3
Let o(l) be the third derivative of l**6/420 - 2*l**5/105 + l**4/28 + 3*l**2. Solve o(m) = 0 for m.
0, 1, 3
Let b = 494 - 492. Let -2/5*n**3 + 0 + 0*n + 0*n**b = 0. What is n?
0
Let q(m) be the second derivative of 0 + 1/12*m**4 + 1/2*m**2 + 1/3*m**3 + 3*m. Solve q(a) = 0.
-1
Let s = 30 + -26. Let q = s - 0. Find r, given that 0*r - 1/4*r**q + 0 + r**3 - r**2 = 0.
0, 2
Let t = 8 + -5. Factor -11*i**2 - 5*i**4 - 9*i**3 + t + 3*i**4 + 4 - 3.
-(i + 1)*(i + 2)**2*(2*i - 1)
Let 2*k + 2556*k**2 - 66*k - 16 + 28*k**3 + 84*k**4 - 2624*k**2 + 36*k**5 = 0. What is k?
-1, -2/3, 1
Factor 1 - 4 + 4 - k**2.
-(k - 1)*(k + 1)
Let n(c) be the first derivative of -c**5/300 - c**4/30 - 2*c**3/15 + 3*c**2/2 + 2. Let v(r) be the second derivative of n(r). Factor v(b).
-(b + 2)**2/5
Let o(v) be the third derivative of -1/60*v**6 + 0*v**3 + 1/105*v**7 + 0*v**5 - 2*v**2 + 0*v + 0 + 0*v**4. Factor o(i).
2*i**3*(i - 1)
Find d such that -175*d**4 - 190*d**3 - 64*d**2 - 37*d**5 + 20*d**3 - 8*d - 11*d**4 - 35*d**5 = 0.
-1, -2/3, -1/4, 0
Let w(h) = -h**2 - h. Let a(x) = -22*x**2 - 34*x + 8. Let n(q) = a(q) - 6*w(q). Factor n(d).
-4*(d + 2)*(4*d - 1)
Let v = 13779771/48059 + 5/4369. Let t = -286 + v. Let 6/11*s**4 + 14/11*s**2 - 8/11 + 20/11*s**3 - t*s = 0. Calculate s.
-2, -1, 2/3
Let r(a) be the second derivative of a**6/60 + 3*a**5/40 + a**4/8 + a**3/12 + 9*a. Factor r(q).
q*(q + 1)**3/2
Let a(m) be the first derivative of m**5/5 - 3*m**4/4 + 2*m**3/3 + 10. Suppose a(t) = 0. Calculate t.
0, 1, 2
Factor -3*v**2 + 2*v**2 + 4*v**2 - 6*v**2.
-3*v**2
Let p(x) be the third derivative of 0*x**5 + 1/1176*x**8 + 3*x**2 + 0*x**3 + 0*x**4 + 0 - 2/735*x**7 + 1/420*x**6 + 0*x. Solve p(q) = 0.
0, 1
Let c(q) be the first derivative of 7*q**5/20 - q**4 + 11*q**3/12 - q**2/4 + 8. Factor c(s).
s*(s - 1)**2*(7*s - 2)/4
Let q(s) be the first derivative of 0*s + 1/10*s**4 + 0*s**2 - 1/15*s**6 + 4/25*s**5 - 1 - 4/15*s**3. Suppose q(z) = 0. What is z?
-1, 0, 1, 2
Suppose -10*u = -14*u + 12. Factor 0*t**u + 1/2*t**4 + 1/2 + 0*t - t**2.
(t - 1)**2*(t + 1)**2/2
Let q(j) = -2*j. Let c be q(-1). Let w(r) = r**3 - 2*r. Let m(f) = 2*f**3 - f**2 - 3*f. Let g(p) = c*m(p) - 3*w(p). Determine s, given that g(s) = 0.
0, 2
Let b(w) be the second derivative of -w**8/6720 - w**7/2520 + w**4/4 + 2*w. Let v(y) be the third derivative of b(y). Factor v(p).
-p**2*(p + 1)
Let z(j) be the third derivative of -1/525*j**7 + 0 + 1/150*j**5 + 0*j + j**2 + 1/30*j**4 - 1/100*j**6 + 0*j**3 + 1/840*j**8. Determine m, given that z(m) = 0.
-1, 0, 1, 2
Let u = -256/3 - -87. Solve -4/3*y**3 + 0 - 1/3*y**4 - u*y**2 - 2/3*y = 0.
-2, -1, 0
Let i(d) be the first derivative of 4/25*d**5 + 2/5*d**2 - 3/10*d**4 + 0*d - 3 - 2/5*d**3. Let i(k) = 0. Calculate k.
-1, 0, 1/2, 2
Let l(r) be the second derivative of 1/18*r**3 - 5*r + 0*r**2 - 1/60*r**5 + 0 + 0*r**4. Suppose l(n) = 0. What is n?
-1, 0, 1
Let r(w) be the third derivative of -w**7/126 - w**6/36 + w**5/3 - 35*w**4/36 + 25*w**3/18 + 2*w**2 + 16*w. Factor r(o).
-5*(o - 1)**3*(o + 5)/3
Let i(r) = -r**2 - 6*r - 5. Let o be i(-4). Suppose -8*k = -3*k - 10, 5*k = -3*x + 16. Factor -2*b**4 - 6*b**2 - b + x*b + 6*b**o + b.
-2*b*(b - 1)**3
Suppose 5*d + 3*u + u + 10 = 0, 25 = -5*u. Solve -1/8*c**d - 1/4*c - 1/8 = 0 for c.
-1
Let g(l) be the first derivative of -l**7/21 - 2*l**6/15 - l**5/10 - 2*l + 2. Let t(p) be the first derivative of g(p). Factor t(s).
-2*s**3*(s + 1)**2
Let j(k) be the third derivative of k**6/200 + k**5/20 + k**4/10 - 35*k**2. Suppose j(m) = 0. What is m?
-4, -1, 0
Let c(i) be the first derivative of i**3/5 - 9*i**2/5 + 27*i/5 - 10. Factor c(a).
3*(a - 3)**2/5
Let w be (3 + 213/(-63))/(18/(-21)). Suppose 0 = 5*l + 2*t - 9, -l + 4*t = t - 12. Factor 0 + 2/9*z**l + 2/9*z - w*z**2.
2*z*(z - 1)**2/9
Let u(w) be the third derivative of -w**7/280 + w**5/40 - w**3/8 + 15*w**2. Factor u(h).
-3*(h - 1)**2*(h + 1)**2/4
Suppose 3*a = a + 32. Suppose a + 0 = 4*r. Factor 0*n**2 - 2/3*n**r + 0 + 0*n - 1/3*n**3 - 1/3*n**5.
-n**3*(n + 1)**2/3
Let v = 15 - 9. Let k(x) be the second derivative of -2/3*x**3 + 1/5*x**v + x**2 + x - 2/3*x**4 + 0 + 1/5*x**5. Factor k(p).
2*(p - 1)*(p + 1)**2*(3*p - 1)
Let p(g) be the third derivative of g**7/315 + g**6/60 + g**5/30 + g**4/36 - 9*g**2. Factor p(q).
2*q*(q + 1)**3/3
Let u(z) be the second derivative of -4*z**6/105 - 13*z**5/70 - 5*z**4/14 - z**3/3 - z**2/7 + 35*z. Factor u(j).
-2*(j + 1)**3*(4*j + 1)/7
Let q(h) be the first derivative of 0*h + 1/2*h**2 - 1/12*h**3 + 2 + 1/120*h**5 + 0*h**4. Let d(k) be the second derivative of q(k). Factor d(o).
(o - 1)*(o + 1)/2
Let y(b) be the third derivative of b**6/405 + b**5/108 + b**4/108 - 7*b**3/6 + 6*b**2. Let f(z) be the first derivative of y(z). Factor f(w).
2*(w + 1)*(4*w + 1)/9
Let t(b) be the first derivative of -b**9/4536 - b**8/2520 + b**7/1260 + b**6/540 + 4*b**3/3 - 1. Let x(s) be the third derivative of t(s). Factor x(o).
-2*o**2*(o - 1)*(o + 1)**2/3
Let y(l) be the third derivative of -l**8/126 - 13*l**7/315 - 7*l**6/180 + 11*l**5/90 + 11*l**4/36 + 2*l**3/9 - 7*l**2. Solve y(w) = 0.
-2, -1, -1/4, 1
Let q(o) = -2*o. Suppose 0 = -n - n. Let r(u) = n*u + u - 2*u - u**2. Let z(h) = -2*q(h) + 2*r(h). Let z(j) = 0. Calculate j.
0, 1
Let k(l) be the third derivative of -2*l**7/735 - l**6/105 + l**4/21 + 2*l**3/21 - 42*l**2. Determine s, given that k(s) = 0.
-1, 1
Suppose 4*t + 1 - 5 = 0. Let r be 13 + -6 - t*2. Factor 0 + 3 - 7*b**2 + 3*b - 12*b - r.
-(b + 1)*(7*b + 2)
Solve 0*k + 0 + 0*k**4 + 4/19*k**2 + 2/19*k**5 - 6/19*k**3 = 0.
-2, 0, 1
Solve -a**4 - 1/3*a**3 + 1/3*a**5 + 0*a + a**2 + 0 = 0 for a.
-1, 0, 1, 3
Find q, given that q**5 - 5*q + 2*q**4 - 3*q**2 + q**2 + 4*q = 0.
-1, 0, 1
Let o(j) = 7*j**2 - 7*j + 4. Let b = 5 + -2. Let a be 2/b - (-32)/6. Let f(l) = -8*l**2 + 8*l - 5. Let c(m) = a*f(m) + 7*o(m). Factor c(d).
(d - 2)*(d + 1)
Let z be 8/3*(-24)/(-16). Suppose -4*m + 24 = z. Let 1/4*r - 1/2*r**3 + 1/4*r**m + 0*r**2 + 0 + 0*r**4 = 0. What is r?
-1, 0, 1
Suppose -4*y - 8 = -8*y - 4*d, 3*y - 10 = -2*d. Factor 16*j**2 + 9*j + 2 + y*j**4 + 0*j**5 + 14*j**3 - 3*j**5 + 4*j**5.
(j + 1)**4*(j + 2)
Suppose -8*r - r = 0. What is q in 0*q + 2/7*q**2 - 2/7*q**3 + r = 0?
0, 1
Let x(s) be the second derivative of -s**7/105 + s**6/75 - 2*s. Factor x(y).
-2*y**4*(y - 1)/5
Let l(b) = 4*b**4 - 5*b**3 - 4*b**2 + 2*b + 3. Let i(s) = s**4 - s**3 - s**2 + 1. Let y(c) = -12*i(c) + 4*l(c). Let y(o) = 0. What is 