+ -5/118. Factor -3*c**2 + 0 + 3*c - t*c**3.
-3*c*(c + 2)*(3*c - 2)/4
Suppose -12 = 3*g, 3*g - 1 = 4*a - 21. Suppose 3*t + 3 = 3*u, 3 = t - 3*u + 6. Factor -1/3*q**5 + t*q**4 + 2/3*q**3 + 0 - 1/3*q + 0*q**a.
-q*(q - 1)**2*(q + 1)**2/3
Let z = 24 + -20. Solve -2*n + 3*n**2 - z*n + 14*n**3 - 11*n**3 = 0.
-2, 0, 1
Suppose -26*b = -22*b - 8. Let w**2 + w**3 + w**4 - b*w**5 - 2*w**2 + w**5 = 0. Calculate w.
-1, 0, 1
Suppose -2*o = 3*z - 58, o = 2*z - 4*z + 27. Solve -3*s**2 + 5 - 22*s + o*s**2 - 1 - 14*s**3 = 0.
2/7, 1
Let v(p) be the second derivative of -p**4/12 - p**2/2 + 4*p. Let z(y) = -3*y**2 + y - 4. Let d(k) = -4*v(k) + z(k). Factor d(r).
r*(r + 1)
Let l = -4/13 + 203/26. What is o in 6*o**2 - l*o - 3/2*o**3 + 3 = 0?
1, 2
Let u(t) be the second derivative of 0*t**2 + 0*t**3 - 1/15*t**5 + 0 + t - 1/18*t**4 - 1/45*t**6. Factor u(h).
-2*h**2*(h + 1)**2/3
Let m be -1*16/(2*-2). Suppose -2*k + 2 = -m. Determine f, given that 2/3*f + f**2 + 1/6*f**4 + 1/6 + 2/3*f**k = 0.
-1
Let f = -1172/5 - -235. Factor 0 + f*q**4 + 6/5*q**3 + 0*q + 3/5*q**2.
3*q**2*(q + 1)**2/5
Let k(n) = -11*n**3 + 6*n**2 + 11*n - 11. Let i(x) = 6*x**3 - 3*x**2 - 6*x + 6. Let a(o) = -5*i(o) - 3*k(o). Factor a(y).
3*(y - 1)**2*(y + 1)
Solve -36*g - 44*g**2 - 12 + 4 - 3*g**4 - 4 + 5*g**2 - 18*g**3 = 0.
-2, -1
Let n be (21/9 - 1)/(12/18). Suppose -2/3*i**3 + 0*i + 0*i**n + 0 = 0. Calculate i.
0
Suppose -r = r - 6. Let q = r - 2. Factor -1/2*d**2 - q + 3/2*d.
-(d - 2)*(d - 1)/2
Let z(o) be the first derivative of -1/9*o**2 + 0*o - 2/27*o**3 - 3. Find r, given that z(r) = 0.
-1, 0
Let p(d) be the third derivative of -d**8/6720 + d**4/24 + 3*d**2. Let o(w) be the second derivative of p(w). Solve o(i) = 0.
0
Suppose 71 = 5*d - 19. Let y be ((-3)/d)/((-4)/8). Solve 1/3*b**4 + 0*b + 0*b**2 + 0 + y*b**3 = 0.
-1, 0
Let r(h) be the first derivative of -2/3*h**3 + 7 + 0*h - h**2. Factor r(z).
-2*z*(z + 1)
Let y(c) be the second derivative of -c**6/75 + 2*c**5/25 + c**4/15 - 4*c**3/5 - 9*c**2/5 + 7*c. Factor y(s).
-2*(s - 3)**2*(s + 1)**2/5
Let h(l) = -4*l**3 - 2*l**2 + 2*l + 6. Let v(m) = 3*m**3 + m**2 - 2*m - 5. Let u(o) = 5*h(o) + 6*v(o). Factor u(q).
-2*q*(q + 1)**2
Let r(i) be the second derivative of -i**6/6 - i**5 + 25*i**4/12 - 2*i - 25. Solve r(m) = 0.
-5, 0, 1
Let t(r) be the third derivative of -225*r**6/32 - 45*r**5/8 - 15*r**4/8 - r**3/3 - 37*r**2. Solve t(j) = 0 for j.
-2/15
Let f(a) be the second derivative of -a**9/10584 - a**8/5880 + a**7/2940 + a**6/1260 - 2*a**3/3 + 5*a. Let s(k) be the second derivative of f(k). Factor s(p).
-2*p**2*(p - 1)*(p + 1)**2/7
Let j = 268 - 76. Suppose j - 52 = 5*h. Factor f**5 - h*f**2 + 7*f**5 - 8*f**3 + 24*f**4 + 4 - 4*f**5 + 10*f**5 - 6*f.
2*(f - 1)*(f + 1)**3*(7*f - 2)
Let v = -35 - -107/3. Find w, given that -v*w**3 + 2/3*w**2 + 2/3*w - 2/3 = 0.
-1, 1
Let o(z) = -z**3 - 8*z**2 + 9*z - 6. Let j(h) = -5*h**3 - 33*h**2 + 35*h - 24. Let t(k) = -2*j(k) + 9*o(k). Factor t(l).
(l - 3)*(l - 2)*(l - 1)
Factor 1/7*i + 2/7*i**2 + 0.
i*(2*i + 1)/7
Let i(u) be the third derivative of 0 + 1/9*u**3 + 0*u + u**2 + 1/4*u**4 + 9/40*u**5. Suppose i(f) = 0. Calculate f.
-2/9
Let v = -61/76 - -20/19. Factor 0*i + 0*i**2 + v*i**5 - 1/4*i**3 + 0 + 0*i**4.
i**3*(i - 1)*(i + 1)/4
Determine s, given that -42/11*s**3 - 16/11*s**2 + 0 + 8/11*s + 14/11*s**5 - 4/11*s**4 = 0.
-1, 0, 2/7, 2
Let b = 43 + -171/4. Let f(x) be the second derivative of 1/12*x**4 + 0 - 1/60*x**6 + 1/20*x**5 + 2*x - 1/84*x**7 - b*x**2 - 1/12*x**3. Factor f(d).
-(d - 1)**2*(d + 1)**3/2
Let f be 20/6 + (-64)/192. Find j such that 48/7*j**2 + 12/7*j + 3*j**f + 0 = 0.
-2, -2/7, 0
Let r(s) = -s**4 + 13*s**3 + 17*s**2 + 9*s. Let z(n) = -4*n**4 + 40*n**3 + 52*n**2 + 28*n. Let a(x) = 10*r(x) - 3*z(x). Factor a(o).
2*o*(o + 1)**2*(o + 3)
Let t(n) = n - 6. Let j be t(7). Suppose -4*s - 22 = -3*f, 2*s + 7 - j = -f. Factor 18/7*r - 4/7 - f*r**2.
-2*(r - 1)*(7*r - 2)/7
Let d(q) be the third derivative of -q**5/225 - q**4/36 - 2*q**3/45 + 26*q**2. Factor d(x).
-2*(x + 2)*(2*x + 1)/15
Let r(j) = j**3 - j**2 + 1. Let m(c) = -6*c**3 - 9. Let t(z) = m(z) + 9*r(z). Factor t(f).
3*f**2*(f - 3)
Let b(w) be the first derivative of w**7/70 + w**6/40 + 3*w**2 - 3. Let m(j) be the second derivative of b(j). Let m(c) = 0. Calculate c.
-1, 0
Let q = 5 + -3. Let u = 16 - 11. Factor 4*k**q - 3*k**4 + k**4 - 2*k**4 + 2*k**u - 2*k.
2*k*(k - 1)**3*(k + 1)
Suppose -5*n + 2 = 2*s, 11 = 5*n - 3*s - 11. Solve -h**n + 1/2*h**3 + 0 + 1/2*h = 0.
0, 1
Let p(y) be the second derivative of -y**7/2835 - y**6/360 - y**5/270 - y**4/12 - 2*y. Let n(h) be the third derivative of p(h). Solve n(o) = 0.
-2, -1/4
Let j(g) be the third derivative of -g**6/80 - 3*g**5/40 - 3*g**4/16 - g**3/4 + 8*g**2. Solve j(m) = 0 for m.
-1
Let h = -38 + 38. Let z(p) be the third derivative of 0*p**3 + 1/120*p**6 + 0*p - 1/210*p**7 + 0*p**5 + 0*p**4 - 2*p**2 + h. Factor z(b).
-b**3*(b - 1)
Let v be 0/(-2*(0 + 1)). Let u be 0 - (v + -1) - 1. Factor -k**3 + 0*k**2 + 0 + u*k + 1/2*k**4.
k**3*(k - 2)/2
Factor -1/2*m**4 + 2*m**3 + 0 + m - 5/2*m**2.
-m*(m - 2)*(m - 1)**2/2
Let f(t) be the first derivative of -t**4/4 - t - 2. Let h(x) = 2*x**3 + 2*x**2 + 2*x + 2. Let r(u) = 4*f(u) + h(u). Factor r(s).
-2*(s - 1)**2*(s + 1)
Let c be (-6)/(-2) + -2 + 1/(-3). Solve 0 + c*w**3 - 2/3*w + 0*w**2 = 0.
-1, 0, 1
Let g(i) be the first derivative of -i**6/30 + 9*i**5/80 - i**4/24 + 2*i - 5. Let u(v) be the first derivative of g(v). Factor u(n).
-n**2*(n - 2)*(4*n - 1)/4
Let f(s) be the second derivative of -s**4/30 + s**3/3 - 6*s**2/5 - 15*s. Find w, given that f(w) = 0.
2, 3
Let p = 2/129 - -125/258. Factor p*b**2 + 5/6*b - 1/3.
(b + 2)*(3*b - 1)/6
Suppose -8*p - 108 + 124 = 0. Factor -4/5*i**p + 2/5*i**3 + 2/5*i + 0.
2*i*(i - 1)**2/5
Let c(t) be the third derivative of -t**6/90 + t**5/45 + 5*t**4/9 + 16*t**3/9 + 45*t**2. Factor c(h).
-4*(h - 4)*(h + 1)*(h + 2)/3
Let -4*h**5 + h**4 - 26*h**2 + 7*h**4 + 4*h**3 + 22*h**2 - 4*h**4 = 0. What is h?
-1, 0, 1
Let o(u) = 6*u**5 + 18*u**4 + 26*u**3 + 14*u**2 + 8. Let x(i) = -2*i**5 - 6*i**4 - 9*i**3 - 5*i**2 - 3. Let t(b) = -3*o(b) - 8*x(b). Factor t(r).
-2*r**2*(r + 1)**3
Let w = 8 - 5. Solve -a**2 - a + 2*a**4 - 3*a**5 - a**2 + 4*a**w + 0*a**5 = 0.
-1, -1/3, 0, 1
Let k(x) = -3*x. Let w be k(-1). Suppose -w*m = -m + 4*f + 2, 4*f + 22 = 2*m. Factor 6*h**2 - 10*h**4 - 4*h**2 - 2*h + 6*h**3 + 3*h**5 + h**m.
2*h*(h - 1)**3*(2*h + 1)
Suppose -4*z + 5*z = 0, 4*z + 8 = 4*o. Determine p so that -4*p + 3*p + 2*p + p**o = 0.
-1, 0
Let m = 2 + -2. Solve 1/2*q + 2*q**3 - 5/2*q**2 + m = 0 for q.
0, 1/4, 1
Suppose -2*t = 7*t - 27. Factor 0*x**2 - 4/7*x + 2/7 + 4/7*x**t - 2/7*x**4.
-2*(x - 1)**3*(x + 1)/7
Let -3*c + 8*c + 2*c - 3*c**2 + 9 - c = 0. What is c?
-1, 3
Let q be -5 - -1 - 14/(-3). Solve 0*p**3 + 0*p + 2/3*p**5 + 0 + 0*p**2 + q*p**4 = 0 for p.
-1, 0
Let g(r) be the second derivative of -r**6/40 - r**5/20 - r**2/2 + 4*r. Let w(o) be the first derivative of g(o). Factor w(x).
-3*x**2*(x + 1)
Let f = 243 + -231. What is w in -f*w**4 + 3/4*w + 0 + 3/4*w**2 - 12*w**3 = 0?
-1, -1/4, 0, 1/4
Let q(o) = -7*o**4 - 2*o**3 - 2*o - 7. Let a(w) = -6*w**4 - w**3 - w**2 - w - 6. Let t(k) = -6*a(k) + 5*q(k). Suppose t(r) = 0. Calculate r.
1
Let l be 35/7 + 1*(-30)/8. Determine y, given that -1/4*y + l*y**2 - 1/2 + 1/4*y**3 - 3/4*y**4 = 0.
-1, -2/3, 1
Let z(y) be the third derivative of y**9/181440 + y**8/15120 + y**7/3780 + y**5/10 - 8*y**2. Let q(s) be the third derivative of z(s). Solve q(g) = 0 for g.
-2, 0
Let p be (-380)/(-350) + -4*(-4)/(-56). Factor 0*o + p*o**3 + 2/5*o**2 + 0 + 2/5*o**4.
2*o**2*(o + 1)**2/5
Suppose d + 5 = 4, -5*f - 4*d = -6. Let v = 1/12 + 5/12. Factor 0 + o + v*o**f.
o*(o + 2)/2
Let n(r) = -2*r**2 - 4*r + 2. Let t(w) = -w**3 - w**2 - 5*w + 1. Let b(k) = -3*n(k) + 2*t(k). Determine s so that b(s) = 0.
-1, 1, 2
What is c in -1/7*c**4 + 0*c - 2/7*c**2 + 0 - 3/7*c**3 = 0?
-2, -1, 0
Let f = -3 + 3. Let u be f/(1*(-2)/2). Let 2*b**5 + 2/3*b**4 + u*b - 2*b**3 - 2/3*b**2 + 0 = 0. Calculate b.
-1, -1/3, 0, 1
Let x(j) be the third derivative of j**6/2520 - j**5/420 + j**4/168 - j**3/3 - 2*j**2. Let m(s) be the first derivative of x(s). Find b such that m(b) = 0.
1
Let k(m) be the second derivative of -5*m**6/39 - 6*m**5/13 - 23*m**4/3