tive of -7*y**4 - 8*y**2 - 294/5*y**5 + 0*y + 88/3*y**3 - 2. Factor i(s).
-2*s*(3*s + 2)*(7*s - 2)**2
Suppose 6*a + 120 = 2*a. Let t be (-6)/8 + a/(-8). Let 1/2*h + 0 + 1/2*h**t + h**2 = 0. Calculate h.
-1, 0
Let h(q) be the first derivative of 16*q**5/45 + 16*q**4/9 - 4*q**3/9 - 22*q**2/9 + 16*q/9 - 58. Determine u, given that h(u) = 0.
-4, -1, 1/2
Determine s, given that 2/7*s**3 + 2/7*s**2 - 4/7*s + 0 = 0.
-2, 0, 1
Let w(v) = 7*v - 2. Let o be w(1). Let n(q) be the third derivative of -1/36*q**4 + 0 + 0*q + 1/180*q**6 + 1/45*q**o - 2/9*q**3 + 3*q**2. Solve n(y) = 0.
-2, -1, 1
Let y be (12/5)/(48/120). Factor 2/9*n**3 + y*n - 2*n**2 - 6.
2*(n - 3)**3/9
Suppose -5*d = -y - 8, -14 = -3*y - 10*d + 6*d. Factor 2/9*w + 0*w**y + 0 + 0*w**4 + 2/9*w**5 - 4/9*w**3.
2*w*(w - 1)**2*(w + 1)**2/9
Let b(a) be the third derivative of 0*a**3 - 1/180*a**5 - 1/360*a**6 - 4*a**2 + 0*a + 0*a**4 + 0. Solve b(k) = 0 for k.
-1, 0
Let j(b) be the third derivative of 0*b**7 - 1/30*b**6 + 0*b**3 + 0 + 1/84*b**8 + 2*b**2 + 0*b**4 + 0*b + 0*b**5. Factor j(g).
4*g**3*(g - 1)*(g + 1)
Let l(d) be the third derivative of d**6/24 - d**5/6 + 5*d**4/24 + 4*d**2. Suppose l(y) = 0. Calculate y.
0, 1
Let m(f) = f**3 + f**2 - f. Let b(c) = -c - 9. Let a be b(-7). Let z(u) = 8*u**3 + 4*u**2 - 8*u + 2. Let l(y) = a*z(y) + 12*m(y). Find w such that l(w) = 0.
-1, 1
Let s be (-9)/27*-3*3. Suppose -2*u + s*b - 3 = 0, -u - 2*b + 0 = -9. Solve -2*p**4 + 1/2*p**5 - 2*p**2 + 1/2*p + 0 + u*p**3 = 0.
0, 1
Let b(p) be the first derivative of p**6/10 + 7*p**5/25 + p**4/4 + p**3/15 + 13. Factor b(a).
a**2*(a + 1)**2*(3*a + 1)/5
Let v be (-8)/70*(-5)/2. Let g be 4/(-22) + 3 + (-585)/231. Factor v*x + 0 + g*x**5 - 4/7*x**3 + 0*x**4 + 0*x**2.
2*x*(x - 1)**2*(x + 1)**2/7
Let c be ((-1)/1)/((-6)/1137). Let h = -182 + c. Factor -11/4*g**2 - h*g**3 + 3*g + 25/4*g**4 + 1.
(g - 1)**2*(5*g + 2)**2/4
Suppose f - 5 = -1. Suppose -4*w - f = -0. Let a(x) = x**2 - 1. Let n(y) = 4*y - 4. Let k(j) = w*n(j) + 2*a(j). Factor k(c).
2*(c - 1)**2
Let g(t) be the second derivative of t**7/5040 - t**6/1440 - t**5/120 - t**4/6 + 2*t. Let p(x) be the third derivative of g(x). Factor p(b).
(b - 2)*(b + 1)/2
Let n(j) be the third derivative of -j**5/420 - j**4/168 + j**3/21 + 4*j**2. Factor n(o).
-(o - 1)*(o + 2)/7
Let h(p) be the first derivative of -p**5/70 + p**3/7 + 2*p**2/7 - 3*p + 1. Let n(v) be the first derivative of h(v). Find f, given that n(f) = 0.
-1, 2
Let n = 2953/36 + -82. Let o(w) be the second derivative of 3*w + 0*w**2 - n*w**4 + 0 + 1/9*w**3. Factor o(z).
-z*(z - 2)/3
Suppose -3*y + 36 = 30. Find g such that -8/3*g**3 - 7/3*g**4 - 2/3*g**5 + 1/3 + 2/3*g - 2/3*g**y = 0.
-1, 1/2
Suppose 1/3*w**3 + 0*w**2 - 4/3*w + 0 = 0. What is w?
-2, 0, 2
Let u be 0*(0 + 2/(-4)). Let j(m) be the second derivative of 1/36*m**4 + 0*m**2 - m - 1/18*m**3 + u. Find r, given that j(r) = 0.
0, 1
Factor 1/3*x**3 - 1/3*x + 2/3 - 2/3*x**2.
(x - 2)*(x - 1)*(x + 1)/3
Let s(h) = h + 3. Let v = -6 - -3. Let y be s(v). Determine g so that -2/5*g**2 + 0 + y*g = 0.
0
Suppose 0 = -3*r + 6*r - 9. Suppose -r*w + 8*w = 5*v - 5, 4*v + w = 19. Find q, given that v*q + 2*q**2 + q - q = 0.
-2, 0
Solve 4*w**4 - 10*w**3 + w + 4*w + 4*w**4 - 2 - 6*w**2 + 5*w = 0 for w.
-1, 1/4, 1
Let y(r) be the second derivative of r**4/6 - 2*r**3/3 - 3*r**2 - 2*r. Factor y(h).
2*(h - 3)*(h + 1)
Factor -5*h**4 - 24*h**2 - 4*h**4 + h**4 - 4 + 16*h + 4*h**4 + 16*h**3.
-4*(h - 1)**4
Factor -915*t**5 + 913*t**5 - 4*t**3 + 4*t**3.
-2*t**5
Let y(o) = -o**3 + 10*o**2 - 10. Let c be y(10). Let x be (-14)/c - (1 + 0). Factor 1/5*z + 1/5*z**2 - x.
(z - 1)*(z + 2)/5
Suppose -3*s = -0*s + 2*q - 15, -s + q = 0. Let f be (-5)/10*(2 - s). Solve -1/2*v**2 + 0 + f*v = 0.
0, 1
Let q be 4/(-22) + 2/11. Suppose 0 = -q*l + 4*l. Factor l*a**4 + 0 + 0*a**2 + 4/3*a**3 - 2/3*a**5 - 2/3*a.
-2*a*(a - 1)**2*(a + 1)**2/3
Find s such that -14/9*s**3 + 2/9*s**4 + 8/9 + 10/3*s**2 - 26/9*s = 0.
1, 4
Factor 71*x - 30*x + 1600 + 119*x + 4*x**2.
4*(x + 20)**2
Suppose 2 = -3*t + 8. Factor -4*d**2 + 3*d**2 + 24*d - 25 - 23 - 2*d**t.
-3*(d - 4)**2
Let w = -19 + 1503/79. Let f = w + 71/316. Factor 1/4*p**2 - 1/4*p**3 + 0 + 0*p - 1/4*p**4 + f*p**5.
p**2*(p - 1)**2*(p + 1)/4
Suppose -4*j = -4*h + 3*h - 14, -5*h + 22 = 3*j. Suppose h = m - 0. Find p, given that -1/2 - 1/2*p**4 + p**3 + p**m - 1/2*p - 1/2*p**5 = 0.
-1, 1
Let k(h) be the first derivative of h**3/12 - h**2/8 - h/2 + 3. Find a such that k(a) = 0.
-1, 2
Let k(w) be the first derivative of -8 + 4*w + 0*w**3 + 3*w**2 - 1/2*w**4. What is f in k(f) = 0?
-1, 2
Let z(s) be the first derivative of s**6/30 - s**5/20 - s**4/12 + s**3/6 + s - 2. Let n(a) be the first derivative of z(a). Factor n(v).
v*(v - 1)**2*(v + 1)
Factor -6/7*z + 1/7*z**2 + 5/7.
(z - 5)*(z - 1)/7
Factor 5/4*d**3 - 5/2*d**2 + 0 + 0*d.
5*d**2*(d - 2)/4
Let i(d) = 5*d**4 + 6*d**3 - 10*d - 5. Let u(b) = -5*b**4 - 5*b**3 + 10*b + 5. Let w(y) = 5*i(y) + 4*u(y). Factor w(g).
5*(g - 1)*(g + 1)**3
Suppose 0*m**4 + 0*m - 2*m + 2*m**4 - 2*m**2 + 2*m**3 = 0. Calculate m.
-1, 0, 1
Let y(o) be the first derivative of -o**4/6 - 7. Factor y(z).
-2*z**3/3
Let u be -5 - 34/(-18)*3. Let -u*t**2 + 2/3*t + 0 = 0. Calculate t.
0, 1
Let s = 1/113 + 83/3390. Let w(u) be the second derivative of 1/6*u**3 + 1/4*u**4 + 3*u + 3/20*u**5 + 0 + s*u**6 + 0*u**2. Determine o, given that w(o) = 0.
-1, 0
Let a(y) be the second derivative of y**3/6 + 7*y**2/2 + y. Let o be a(-5). Solve -1/4*f**4 + 0 + 1/4*f**3 + 0*f + 1/4*f**o - 1/4*f**5 = 0.
-1, 0, 1
Let z(b) be the first derivative of -b**3/3 - b**2 + 2*b + 8. Let p be z(0). Factor 0*i - 1/3*i**p + 1/3.
-(i - 1)*(i + 1)/3
What is v in -2/9*v**4 + 0*v**3 + 0*v + 2/9*v**2 + 0 = 0?
-1, 0, 1
Let t = 4/9 + -2/45. Factor 2/5*r + 0 + t*r**3 - 4/5*r**2.
2*r*(r - 1)**2/5
Let v(o) be the third derivative of o**5/100 - o**4/20 + 21*o**2. Factor v(l).
3*l*(l - 2)/5
Let p(d) be the first derivative of 2*d**3/15 - 2*d**2/5 + 2*d/5 - 6. Factor p(z).
2*(z - 1)**2/5
Suppose -m = -5*m + 12. Solve 3*x**2 - 10*x - 1 + 2 + x**m + 13*x = 0.
-1
Let c**3 + 18*c**2 - 2*c**4 + 3*c + 8 - 3*c**3 - 25*c = 0. Calculate c.
-4, 1
Let z be (-6 + -2)/(-8)*0. Let n = 5/3 + -7/6. Let 1/2*k**2 + 0*k + n*k**4 + z + k**3 = 0. Calculate k.
-1, 0
Let c(d) be the first derivative of -3*d**5/20 - 3*d**4/16 + d**3/4 + 3*d**2/8 - 49. Factor c(h).
-3*h*(h - 1)*(h + 1)**2/4
Let x(l) be the third derivative of l**8/3024 + l**7/378 + l**6/108 + l**5/54 + 5*l**4/216 + l**3/54 + 4*l**2. Solve x(c) = 0 for c.
-1
Let b = 9/140 + 1/28. Let g(n) be the third derivative of 0 + 0*n + 1/210*n**7 - 1/6*n**4 + n**2 + 1/6*n**3 + b*n**5 - 1/30*n**6. Find i such that g(i) = 0.
1
Let h be 2/(3*(-4)/(-18)). Let d(z) be the first derivative of -7/24*z**6 - 1/2*z + 11/8*z**2 - 1/4*z**4 + 2 - 7/6*z**h + 4/5*z**5. Solve d(f) = 0 for f.
-1, 2/7, 1
Suppose 3*i + 15 = 5*i + 3*l, 3*i + 5*l - 25 = 0. Find a such that i + 2/3*a**2 - 4/3*a = 0.
0, 2
Let w(o) be the second derivative of 0 - 1/12*o**4 + 0*o**3 + 1/30*o**6 + 0*o**2 - 3*o + 0*o**5. Find s such that w(s) = 0.
-1, 0, 1
Suppose 11*l - 9 = 8*l. Let -4*k - 5 + 5*k + k**2 + l = 0. What is k?
-2, 1
Suppose -2*l - 2*s - 3*s = -25, 15 = -2*l + 3*s. Suppose -5*i + l*i = -15. Factor 1/3*z**2 - 1/3*z**i - 1/3 + 1/3*z.
-(z - 1)**2*(z + 1)/3
Let r(p) be the third derivative of -p**5/60 - p**4/12 - p**3/6 + 24*p**2. Factor r(v).
-(v + 1)**2
Let x(c) = c**2 + 19*c - 9. Let n(v) = v**2 + 9*v - 4. Let o(a) = -9*n(a) + 4*x(a). Suppose o(f) = 0. Calculate f.
-1, 0
Let h = -156 + 158. Suppose 4/5*d**h - 12/5*d**3 + 0*d + 0 - 4/5*d**5 + 12/5*d**4 = 0. Calculate d.
0, 1
Let t be (-1)/(-3)*(0 - -15). Suppose -4*v + 7 = -t. What is o in 4*o**v + 3*o**4 - o**4 - 2*o**3 = 0?
-1, 0
Factor 3/8*g**2 + 3*g + 6.
3*(g + 4)**2/8
Let d(a) be the second derivative of 5*a**7/14 - 61*a**6/30 + 13*a**5/5 + 4*a**4 - 32*a**3/3 + 8*a**2 + 46*a. Determine l so that d(l) = 0.
-1, 2/5, 2/3, 2
Let q be 8/(-2*(1 + -2)). Let 2*a + 2*a**2 - q*a + 2*a - 2 = 0. Calculate a.
-1, 1
Let q(f) = f**2 + 10*f + 6. Let s be q(-8). Let y(o) = o**2 + 9*o - 10. Let c be y(s). Suppose c + 0*m + 1/2*m**2 = 0. What is m?
0
Let k = 15 - 11. Let r(l) = -l. Let c be r(-4). Factor -8*p**3 - 3*p - 8*p**2 + 4*p**k - 6*p**c + 3*p.
-2*p**2*(p