Factor 0*s - 1/2*s**3 + s**2 + 0.
-s**2*(s - 2)/2
Let -10/7*g - 2/7*g**3 - 8/7*g**2 - 4/7 = 0. Calculate g.
-2, -1
Let z(x) = -x**2 + 5*x + 14. Let v be z(7). Factor -4/5*c + v - 2/5*c**2 + 2/5*c**3.
2*c*(c - 2)*(c + 1)/5
Suppose 3 = -c, 4*c = d - 13 - 2. Solve 0 - 1/3*w + 1/2*w**2 - 1/6*w**d = 0 for w.
0, 1, 2
Let s(n) be the second derivative of -n**5/110 + n**4/66 + n. Solve s(d) = 0.
0, 1
Let y = 1 + 3. Factor w**y - 4*w**4 + 2*w**2 - 2*w**4 + 3*w**4.
-2*w**2*(w - 1)*(w + 1)
Let a be 2/(-7)*21/(-12). Let b(f) be the first derivative of 0*f**2 - a*f**4 + 1/3*f**6 + 0*f + 2 + 2/3*f**3 - 2/5*f**5. Suppose b(g) = 0. Calculate g.
-1, 0, 1
Suppose 0*t + 4*t + 8 = 0. Let d be (-30)/(-24) + t/4. Suppose -d + 3*y**2 + 9/4*y = 0. What is y?
-1, 1/4
Let n = -7 - -10. Factor -4*w**n + 2*w**3 - 3*w**4 + 24 - 13*w**3 + 12*w - 17*w**2 - w**2.
-3*(w - 1)*(w + 2)**3
Suppose -3*z + 7 - 1 = 0. Let 0*d + d**4 + d**4 - 3*d**3 + 5*d**3 - z*d - 2*d**2 = 0. What is d?
-1, 0, 1
Let n(z) be the third derivative of 1/15*z**5 + 0*z**3 - 1/168*z**8 + 3*z**2 - 2/105*z**7 + 0*z + 1/12*z**4 + 0 + 0*z**6. Solve n(y) = 0.
-1, 0, 1
Let b(i) be the first derivative of 0*i**2 - 3 + 1/9*i**3 - 3*i + 1/18*i**4. Let d(m) be the first derivative of b(m). Factor d(p).
2*p*(p + 1)/3
Let a(o) be the first derivative of -o**4/18 - 2*o**3/9 + 33. Factor a(y).
-2*y**2*(y + 3)/9
Let x = 1232/5463 + -2/607. Factor -x*c**2 + 0 - 2/9*c**3 + 4/9*c.
-2*c*(c - 1)*(c + 2)/9
Let i = 5 - 10. Let u = i + 7. Suppose q**2 + 2*q - 4*q**2 - 7*q**3 - 2*q**u = 0. What is q?
-1, 0, 2/7
Factor 0*m**5 - 5*m**5 + 23*m**3 + 3*m**4 + 7 - 19*m**2 - 3 - 6*m**3.
-(m - 1)**3*(m + 2)*(5*m + 2)
Let x = -25 + 22. Let g be x/10*52/(-39). Find h such that g*h + 1/5 + 1/5*h**2 = 0.
-1
Let m(y) = 5*y**4 + y**3 + 8*y. Let f be (-66)/18 - 2/6. Let l(j) = -4*j**4 - 7*j. Let r(o) = f*l(o) - 3*m(o). Factor r(z).
z*(z - 2)**2*(z + 1)
Suppose -123*g + 25 = -118*g. Factor 0*s**4 + 0*s - 6/7*s**3 - 4/7*s**2 + 0 + 2/7*s**g.
2*s**2*(s - 2)*(s + 1)**2/7
Factor 1 - 3*v**2 + v**3 + 5*v**2 + 3*v + 0*v**2 + v**2.
(v + 1)**3
Suppose 12/5 + 2*c + 2/5*c**2 = 0. Calculate c.
-3, -2
Let s(o) be the second derivative of o**4/3 - 4*o**3/3 + 2*o**2 - 4*o. Determine v, given that s(v) = 0.
1
Let p(y) be the first derivative of 2*y**3/21 - 6*y**2/7 - 18. Factor p(m).
2*m*(m - 6)/7
Let z(s) = 12*s - 21. Let j be z(2). Let 9/2*q**2 + 7/2*q**j + 0 + q = 0. Calculate q.
-1, -2/7, 0
Let x(s) be the first derivative of -2*s**3 + 24*s**2 - 96*s + 5. Let i(d) = -3*d**2 + 24*d - 48. Let f(b) = -11*i(b) + 6*x(b). Solve f(o) = 0.
4
Determine k, given that -429*k - k**2 + 4 + 429*k = 0.
-2, 2
Solve -24/7*x - 3/7*x**3 - 18/7*x**2 + 0 = 0.
-4, -2, 0
Let m(f) be the second derivative of -2*f**7/21 + 2*f**6/15 + f**5/5 - f**4/3 - 58*f. Factor m(z).
-4*z**2*(z - 1)**2*(z + 1)
Let b(t) be the first derivative of t**4 - 4*t**3 - 8*t**2 - 9. Solve b(i) = 0 for i.
-1, 0, 4
Let n = -15 - -9. Let v(i) = i**2 + 7*i + 9. Let m be v(n). Factor 26/5*a**2 + 2/5*a**4 - 24/5*a + 8/5 - 12/5*a**m.
2*(a - 2)**2*(a - 1)**2/5
Let y(s) be the first derivative of -1/4*s**3 + 9/4*s**2 - 27/4*s - 1. Factor y(b).
-3*(b - 3)**2/4
Let f(y) be the first derivative of 4*y**5/5 - 2*y**4 + 2*y**3 - y**2 - y + 4. Let c(r) be the first derivative of f(r). Factor c(w).
2*(2*w - 1)**3
Suppose 1 + 3 = -3*p + 5*b, -p - 4*b = -10. Suppose 2*u - 8 = -p*u. Solve 2/7*n**4 - 4/7*n**3 + 0*n + 0 + 2/7*n**u = 0 for n.
0, 1
Let n = 1 + -1. Let c be (-1 - 0)*2/(-8). Factor 0*m**2 + 1/4*m**4 + 0*m + n + c*m**3.
m**3*(m + 1)/4
Let o(u) = u**3 - 4*u**2 + 5. Let r be o(4). Suppose 6*z**3 - 4*z**r - 2*z**3 + 3*z**4 - 3*z**3 + 0*z**3 = 0. What is z?
-1/4, 0, 1
Let s(h) be the first derivative of h**6/21 + 4*h**5/35 - 4*h**3/21 - h**2/7 + 8. Factor s(n).
2*n*(n - 1)*(n + 1)**3/7
Let g(p) be the third derivative of p**8/840 - p**7/140 + p**5/15 - p**3/3 + 6*p**2. Let a(w) be the first derivative of g(w). Factor a(u).
2*u*(u - 2)**2*(u + 1)
Factor 8/9 - 8/9*s + 4/9*s**3 - 2/3*s**2 + 2/9*s**4.
2*(s - 1)**2*(s + 2)**2/9
Let q(o) = o - o**2 + 0 + 3*o + 2. Let r be q(4). Factor 6*a**4 + 24*a**3 + 4*a**4 + 18*a**r + 0*a**3 + 4*a.
2*a*(a + 1)**2*(5*a + 2)
Let p = -6863/172 + 71/43. Let s = -38 - p. Factor -1/4*w**4 - s*w**3 + 0 + 1/4*w**2 + 1/4*w.
-w*(w - 1)*(w + 1)**2/4
Let b(c) be the third derivative of 41/840*c**6 - 5/168*c**4 - 1/70*c**7 + 0 + 1/21*c**3 + 0*c + 10*c**2 - 17/420*c**5. Let b(a) = 0. Calculate a.
-1/3, 2/7, 1
Factor -2*z**4 - 12 + 4*z**3 - 3*z**2 + 0*z + 9*z**2 + 4 - 8*z.
-2*(z - 2)**2*(z + 1)**2
Let k(q) = -9*q**5 + 120*q**4 - 171*q**3 + 39*q**2 + 21. Let y(f) = f**5 - 12*f**4 + 17*f**3 - 4*f**2 - 2. Let w(i) = 2*k(i) + 21*y(i). Factor w(t).
3*t**2*(t - 2)*(t - 1)**2
Let k(a) be the first derivative of a**8/1008 - a**6/120 - a**5/90 - 3*a**2/2 + 3. Let y(l) be the second derivative of k(l). Factor y(j).
j**2*(j - 2)*(j + 1)**2/3
Let q(t) = -5*t**2 - 9*t. Let f(d) = -20*d**2 - 35*d. Let y(z) = 4*f(z) - 15*q(z). Factor y(n).
-5*n*(n + 1)
Let r(b) be the first derivative of b**5/5 - b**4/2 + b**3/3 - 5. Determine d, given that r(d) = 0.
0, 1
Let g(h) = 5*h**2 + 20*h. Let a(f) = -85*f**2 - 340*f. Let d(u) = -2*a(u) - 35*g(u). Factor d(c).
-5*c*(c + 4)
Let d(y) = -y - 7*y - 14*y**3 - 11*y**4 - 14*y**2 - 5 + 13*y**4. Let x(p) = 3*p**4 - 27*p**3 - 27*p**2 - 15*p - 9. Let j(g) = 9*d(g) - 5*x(g). Factor j(r).
3*r*(r + 1)**3
Let t(z) be the second derivative of -3*z**5/5 - z**4/2 - z**3/8 + 14*z. Factor t(s).
-3*s*(4*s + 1)**2/4
Factor -2/3*b**2 + 0 - 4/3*b.
-2*b*(b + 2)/3
Suppose 4*t = 17 + 3. Let -u**5 - 5*u**4 + 5*u**5 + 2*u + 5*u**2 + u**3 - 7*u**5 + 0*u**t = 0. What is u?
-1, -2/3, 0, 1
Let z be ((-1062)/(-59))/(20/2). Factor -3/5*y + 3/5*y**3 + 9/5 - z*y**2.
3*(y - 3)*(y - 1)*(y + 1)/5
Let r(g) be the third derivative of -g**9/10584 + g**8/1470 - g**7/735 - g**3/2 - 3*g**2. Let q(b) be the first derivative of r(b). Factor q(v).
-2*v**3*(v - 2)**2/7
Let r(x) be the third derivative of 2*x**2 + 0 + 1/30*x**5 - 1/9*x**4 + 1/9*x**3 + 0*x. Factor r(o).
2*(o - 1)*(3*o - 1)/3
Let w(o) be the second derivative of o**6/120 + o**5/80 - o**4/16 - 5*o**3/24 - o**2/4 - 4*o. Factor w(j).
(j - 2)*(j + 1)**3/4
Let l be (21/12 + -2)/(-17 + 16). Factor 1/4*m**4 - 1/2*m**2 - 1/4*m**5 + 1/2*m**3 + 1/4 - l*m.
-(m - 1)**3*(m + 1)**2/4
Let h(n) = n**3 - 2*n**2 - 4*n + 6. Let y(c) = -c**3 + 2*c**2 + 4*c - 5. Let s(u) = 2*h(u) + 3*y(u). Let q be s(3). Factor 0 - 1/5*b**3 + 1/5*b + q*b**2.
-b*(b - 1)*(b + 1)/5
Let w(q) = 4*q**3 + 10*q**2 + 9*q - 3. Let x(j) = -j**3 - j**2 - j. Let t(r) = -w(r) - 3*x(r). Let m be t(-6). Factor 3*i**2 + 2 - i**2 - i - m.
(i - 1)*(2*i + 1)
Suppose 36 = 3*o + 39. Let q be -2*(-2)/(-20)*o. Factor 1/5*w - q*w**3 + 1/5*w**4 + 0 - 1/5*w**2.
w*(w - 1)**2*(w + 1)/5
Let o be (8/(-10))/((-28)/30). Suppose 15*b = 11*b + 8. Factor -8/7*c**b + 2/7 + o*c.
-2*(c - 1)*(4*c + 1)/7
Let n = -3 - -8. Suppose 0 = 3*c - n*v - 40, 0 = 5*c - 7*v + 3*v - 45. Factor -10/7*k**4 - 2/7*k**c - 8/7*k**2 + 0*k + 0 - 16/7*k**3.
-2*k**2*(k + 1)*(k + 2)**2/7
Suppose -28*q = -27*q. Factor 0*h + q + 2/5*h**2.
2*h**2/5
Factor 0 + 4/5*v**4 - 16/5*v**2 + 0*v**3 + 0*v.
4*v**2*(v - 2)*(v + 2)/5
Let g be ((-6)/9)/((-6)/27). Suppose q + g*h - 12 = -2*q, -4*q = h - 4. Suppose 0 + q*a**2 + 0*a + 1/2*a**4 - 1/2*a**3 = 0. What is a?
0, 1
Let n(l) be the second derivative of -3*l**6/2 - 57*l**5/4 - 80*l**4/3 - 50*l**3/3 - 3*l + 3. Let n(m) = 0. What is m?
-5, -2/3, 0
Solve -2/7*w**4 + 0*w + 0 + 0*w**2 - 4/7*w**3 = 0 for w.
-2, 0
Let m = -7 + 12. Suppose -c + 2 = 2*b + 6, 9 = -3*c - m*b. Factor 0*f + 2*f**2 - 2*f**3 + c*f + 0 - 2.
-2*(f - 1)**2*(f + 1)
Find b, given that 98*b + 5*b**2 - 51*b - 47*b = 0.
0
Let w(v) be the third derivative of -7*v**5/60 + v**4/12 + 5*v**3/6 + v**2. Let m(f) = -3*f**2 + f + 2. Let k(n) = -9*m(n) + 4*w(n). Let k(d) = 0. Calculate d.
-2, 1
Suppose -12*p + 20 + 4 = 0. Suppose 10/7*s**p + 2*s + 4/7 = 0. Calculate s.
-1, -2/5
Let d(c) be the second derivative of c**5/45 - 2*c**4/27 - 2*c**3/27 + 4*c**2/9 - 3*c. Solve d(j) = 0.
-1, 1, 2
Suppose 2*o - 12 = -2*r, -2*r - 14 = -3*r - 3*o. Suppose 6/5*b**2 + 0 - 4/5*b + r*b**3 = 0. What is b?
-1, 0, 2/5
Let i = 60 - 56. Let y(d) = -d**3 + 6*d**2 - 6*d + 5. Let p be y(5). F