/2*c**3 - 14*c**4 - 17*c**2 + 4 - 2*c + 5/2*c**5 = 0.
-2/5, 1, 2
Let u = 158 - 154. Factor -2/7 - 2/7*s**u + 4/7*s**2 + 0*s**3 + 0*s.
-2*(s - 1)**2*(s + 1)**2/7
Factor -8*z - 2*z**2 + 6*z**3 + 2*z - 7 - 2*z**4 + 11.
-2*(z - 2)*(z - 1)**2*(z + 1)
Let r be (-2*2/(-14))/(-1 + 2). Factor 2/7*a - 2/7*a**2 - 2/7*a**3 + r.
-2*(a - 1)*(a + 1)**2/7
Let v be 81/(-21) + (1 - -3). Let x = v + 11/21. Find b, given that -1/6*b**4 + 0 - 2/3*b**3 + 1/6*b**2 + 0*b + x*b**5 = 0.
-1, 0, 1/4, 1
Let z(h) be the first derivative of -h**4/4 - 5*h**3/3 - 5*h**2/2 - 2*h + 5. Let y be z(-4). Factor 0*l + 0 - 1/3*l**y + 1/3*l**3.
l**2*(l - 1)/3
Let r be (-5)/(-2)*1/20. Let f(l) be the first derivative of -r*l**4 + 2 + 1/2*l - 1/6*l**3 + 1/4*l**2. Factor f(c).
-(c - 1)*(c + 1)**2/2
Let l be 604/(-6783) + 6/9. Let h = l - 2/323. Find x, given that 2*x**3 - h*x + 0 - 10/7*x**2 = 0.
-2/7, 0, 1
Suppose -16 = -5*m - 3*k, 4*m + 4*k - 4 = 6*k. Let c = -3 + 4. Factor -2 + l**2 - l + c - l + m.
(l - 1)**2
Suppose 0 = 11*u + u - 24. Let x(t) be the first derivative of 1/2*t**4 - 2*t - 2*t**3 + 3*t**u + 1. Factor x(p).
2*(p - 1)**3
Let f(d) be the first derivative of 2*d**6/3 + 12*d**5/5 + d**4 - 4*d**3 - 4*d**2 + 13. Factor f(j).
4*j*(j - 1)*(j + 1)**2*(j + 2)
Let p = -3 + 3. Suppose 3*t = -p*t + 2*l - 4, -4*t + 18 = 2*l. Factor 4/7 - 2/7*y**t + 2/7*y.
-2*(y - 2)*(y + 1)/7
Let n(k) = -k**3 - 10*k**2 + 8. Let y be n(-10). Suppose y + 7 = 5*f. Find w such that w**2 - f*w + 4 + 1 - 3 + 0*w = 0.
1, 2
Let y = 6 + -4. Suppose -m - 2*d = -10, -d = m + 2*m - 5. Find f such that 1/4*f**y - 1/4*f + m = 0.
0, 1
Factor 3 + 2 - 9*r**4 + 3*r**5 + 9*r**3 - 5 - 3*r**2.
3*r**2*(r - 1)**3
Solve 3*x**2 + 4*x**4 - x**4 + 0*x**2 - 2*x**3 + 8*x**3 = 0 for x.
-1, 0
Let d(v) = v**2 - v. Let w(p) = -p**2 + p. Let k(l) = 5*d(l) + 4*w(l). Factor k(c).
c*(c - 1)
Let i(c) be the second derivative of -c**4/126 - 2*c**3/63 - 34*c. Factor i(h).
-2*h*(h + 2)/21
Let h = -3 + 4. Let c = h - 1. Find s such that -s + c*s - s - 4*s**2 = 0.
-1/2, 0
Suppose 6*j - 8 = 2*j. Let b(i) be the first derivative of 2*i**3 - 3 + 2/5*i**5 + 0*i - i**j - 3/2*i**4. Factor b(f).
2*f*(f - 1)**3
Suppose 1/2*r**3 + 1/6*r + 1/6*r**4 + 0 + 1/2*r**2 = 0. Calculate r.
-1, 0
Let m(c) = 5*c**2 - 10*c + 10. Let b(s) = -s**2 - s + 1. Let p(k) = -2*b(k) - m(k). Factor p(l).
-3*(l - 2)**2
Suppose 0 = -42*o + 14*o + 56. Suppose -2*r = 2*r - 12. Factor -1/3*l**r - 1/3*l**4 + 1/3*l**o + 0 + 1/3*l.
-l*(l - 1)*(l + 1)**2/3
Let b(a) be the first derivative of 2*a**3/27 - a**2/9 - 64. Factor b(w).
2*w*(w - 1)/9
Suppose 4*c + 4*r - 24 = 0, -4*c = 3*r - r - 18. Let i(p) be the first derivative of -3 + p**2 + 2/3*p**c - 4*p. Factor i(w).
2*(w - 1)*(w + 2)
Find k, given that -2/25 - 2/25*k**4 - 4/25*k**3 + 2/25*k**5 + 4/25*k**2 + 2/25*k = 0.
-1, 1
Let i(o) be the first derivative of -35/3*o**3 + 2 + 3/2*o**2 - 9*o**4 + 2*o. Factor i(l).
-(l + 1)*(4*l - 1)*(9*l + 2)
Let p(t) be the third derivative of -t**5/120 - 5*t**4/48 - t**3/3 - 45*t**2. Factor p(x).
-(x + 1)*(x + 4)/2
Let t(z) = -9*z - 54. Let q be t(-6). Suppose -3/8*c**2 + 1/2 + 1/8*c**3 + q*c = 0. Calculate c.
-1, 2
Suppose 0 = 5*p - f - 5, 0 = 3*p - 2*f - f - 3. Let o = 3 - p. Determine u so that -18/7*u**3 + 0 + 0*u + 4/7*u**o - 10/7*u**5 + 24/7*u**4 = 0.
0, 2/5, 1
Let a(z) = z**2 + 7*z + 7. Let i be a(-6). Let t be i*2/(-6) - -3. Determine u so that 56/3*u + 98/3*u**2 + t = 0.
-2/7
Factor -2/3*h + 0*h**2 + 2/9*h**3 - 4/9.
2*(h - 2)*(h + 1)**2/9
Let f = 13 - -17. Let o be 4/(-10) - (-102)/f. Find s such that -5*s - 1 + 2*s + 2*s**o + 4*s - 3*s + s**2 = 0.
-1, -1/2, 1
Let c be (-6)/(-27) + (0 - 0 - 0). Let 2/9*q**2 - 2/9*q**4 + 2/9*q**3 - c*q + 0 = 0. Calculate q.
-1, 0, 1
Let n(m) = -m + 6. Let l be n(4). Let f(v) = 4*v**3 - 4*v + 2. Let p(s) = 9*s**3 - 9*s + 5. Let x(k) = l*p(k) - 5*f(k). Factor x(t).
-2*t*(t - 1)*(t + 1)
Let x(n) = -n**2 + 3 - 2 - 10*n + 8 - 2*n**2. Let z(u) = -4*u**2 - 11*u + 9. Let p(t) = 5*x(t) - 4*z(t). Find w, given that p(w) = 0.
3
Let o(y) = y - 4. Let m be o(9). Suppose 2*z + h - m*h = -8, 3*z = 5*h - 9. Let 1/3*a - 1/3*a**z + 0 = 0. What is a?
0, 1
Let p(b) = -b**5 + 44*b**4 - 27*b**3 - 36*b**2 + 44*b + 8. Let w(n) = -n**5 + 29*n**4 - 18*n**3 - 24*n**2 + 29*n + 5. Let u(z) = 5*p(z) - 8*w(z). Factor u(x).
3*x*(x - 2)**2*(x - 1)*(x + 1)
Let c(i) be the third derivative of -i**4/24 - 7*i**3/6 + 12*i**2. Let l be c(-7). Determine v so that -1/4*v**5 + 1/4*v**3 + l*v - 1/4*v**4 + 0 + 1/4*v**2 = 0.
-1, 0, 1
Let x(i) be the third derivative of 0*i + 1/156*i**4 + 0 + 2/39*i**3 - 1/390*i**5 - 3*i**2. Suppose x(j) = 0. What is j?
-1, 2
Let a(o) be the first derivative of -o**6/600 + 3*o**2/2 - 3. Let l(k) be the second derivative of a(k). Factor l(r).
-r**3/5
Let u(s) be the first derivative of s**6/1800 + s**5/150 + s**4/30 - s**3/3 - 3. Let i(m) be the third derivative of u(m). Factor i(z).
(z + 2)**2/5
Let h(u) be the second derivative of -1/42*u**4 + 0*u**5 + 0*u**3 + 0 + 1/105*u**6 + 0*u**2 - 2*u. Determine y so that h(y) = 0.
-1, 0, 1
Let q(y) be the third derivative of -y**5/330 - y**4/33 - 4*y**3/33 + 7*y**2. Factor q(k).
-2*(k + 2)**2/11
Let s(q) be the first derivative of 2*q**3/3 + 3*q**2 + 19. Factor s(v).
2*v*(v + 3)
Let k(w) be the first derivative of 0*w**4 - 1/4*w - 1/20*w**5 + 0*w**2 + 2 + 1/6*w**3. Let k(p) = 0. What is p?
-1, 1
Let q(y) = y**3 - 7*y**2 + 5*y + 5. Let o be q(6). Let k be (o/2)/(2/(-8)). Let k + 2*a**2 + 2 - 2*a - 4*a**2 = 0. Calculate a.
-2, 1
Let m(p) be the third derivative of 5*p**8/336 + p**7/21 - p**6/24 - p**5/6 + 7*p**2. Factor m(c).
5*c**2*(c - 1)*(c + 1)*(c + 2)
Solve -3*h + 5/2 + 1/2*h**2 = 0.
1, 5
Let d be (-3)/((63/(-24))/7). Let r(j) = 35*j**2 + 28*j + 20. Let u(s) = 23*s**2 + 19*s + 13. Let m(v) = d*u(v) - 5*r(v). Let m(z) = 0. What is z?
-2/3
Let g(w) = 1. Suppose -5*z - 2*k = 3*k - 75, -3*z = -2*k - 20. Let m(v) = -2*v**3 + 4*v**2 - 2*v + 10. Let p(t) = z*g(t) - m(t). Solve p(l) = 0 for l.
0, 1
Let p be 4/(-22) - 6/(-33). Let u(i) be the second derivative of 1/120*i**6 - 1/80*i**5 + 0*i**4 + 0 + p*i**3 + 3*i + 0*i**2. Determine m, given that u(m) = 0.
0, 1
Let r(c) = 5*c**2 + 3*c - 4. Let l(d) be the third derivative of d**5/15 + d**4/12 - d**3/2 + 4*d**2. Let n(v) = 4*l(v) - 3*r(v). Factor n(z).
z*(z - 1)
Find y such that 2*y**5 - 20*y**3 + 0*y**5 + 18*y**3 + 2*y**2 - 2*y**4 = 0.
-1, 0, 1
Let m(v) = -10*v**4 - 2*v**3 + 14*v**2 + 2*v - 4. Let j(d) = d**4 - d**2. Let l(x) = 8*j(x) + m(x). Factor l(q).
-2*(q - 1)**2*(q + 1)*(q + 2)
Let i = 172 - 45. Factor -127*q + i*q - 4*q**3 - 2*q**4 - 2*q**2.
-2*q**2*(q + 1)**2
Let z(y) = -y**2 - y + 1. Let n(k) be the third derivative of k**5/12 + k**4/6 - 7*k**3/6 + k**2. Let o = 41 - 35. Let w(c) = o*z(c) + n(c). Factor w(i).
-(i + 1)**2
Suppose 7*z - 11*z + 12 = 0. What is d in 0 + 2/7*d**z + 4/7*d**2 + 0*d = 0?
-2, 0
Let f(h) be the second derivative of 10*h**7/21 - 16*h**6/15 - 4*h**5/5 + 10*h**4/3 - 2*h**3/3 - 4*h**2 - 3*h. Factor f(a).
4*(a - 1)**3*(a + 1)*(5*a + 2)
Let z = -7 - -14. Let f be (-6)/z*(-7 - 0). Factor 2*d + f*d**2 - 5*d**2 - 3*d.
d*(d - 1)
Let m be 2 - 42/(-225)*(-147)/14. Let l(f) be the second derivative of m*f**6 - 1/10*f**5 + 1/15*f**4 + 0 + 0*f**2 - 4*f + 0*f**3. Let l(q) = 0. What is q?
0, 2/3, 1
Factor 0 + 8/13*u - 2/13*u**4 - 6/13*u**3 + 0*u**2.
-2*u*(u - 1)*(u + 2)**2/13
Let f be ((-3)/2)/((-10 - 5)/30). Find y, given that -1/6*y**2 + 0 + 1/6*y**f + 1/6*y**4 - 1/6*y = 0.
-1, 0, 1
Let g(b) be the first derivative of -12*b**4 + 8*b**3 + 21*b**2/2 + 3*b + 24. Factor g(c).
-3*(c - 1)*(4*c + 1)**2
Solve -5/7*a - 12/7*a**3 - 2/7*a**4 + 1/7*a**5 + 0 - 2*a**2 = 0.
-1, 0, 5
Factor -1/2 - 1/4*j**2 + 3/4*j.
-(j - 2)*(j - 1)/4
Let 5*h + 2*h**3 - 7*h + 3*h**3 - 3*h**3 = 0. What is h?
-1, 0, 1
Suppose 0*z - 1/4*z**2 - 1/4*z**4 + 0 - 1/2*z**3 = 0. Calculate z.
-1, 0
Let u(x) be the second derivative of -x**6/6 + x**5/4 + 5*x**4/4 - 25*x**3/6 + 5*x**2 - 10*x. Find a such that u(a) = 0.
-2, 1
Let r(u) be the third derivative of -u**6/420 + u**4/28 + 2*u**3/21 - 19*u**2. Factor r(t).
-2*(t - 2)*(t + 1)**2/7
Let y(s) be the first derivative of 9 + 0*s**2 + 1/7*s**4 + 8/21*s**3 + 0*s. Factor y(o).
4*o**2*(o + 2)/7
Suppose -3*w = -17 + 11. Let h(j) be the third derivative of -3