) be the second derivative of -z**10/151200 + z**9/37800 - z**8/33600 - z**4/6 + z. Let w(i) be the third derivative of b(i). Factor w(y).
-y**3*(y - 1)**2/5
Suppose 2*o - 7*o = -30. Let k be (-3 + 8)*o/10. Solve -8*z + 65*z**2 + 98*z**4 + 71*z**3 + 16*z**2 - 17*z**2 - 225*z**k = 0 for z.
0, 2/7, 1
Suppose -3*d - j - 2 = 0, 14 = d - 5*j - 12. Let r be (-48)/28 + 1 + d. Find u such that 0 - 2/7*u**3 - 2/7*u**4 + 0*u + 2/7*u**2 + r*u**5 = 0.
-1, 0, 1
Let i(l) = 3*l - 3. Let m be i(2). Let -12*d**2 + 2 + 0*d**3 - 7*d**m + d - 4*d = 0. What is d?
-1, 2/7
Let t(u) = -u**2 - 15*u + 2. Let c be t(-15). Let q(y) be the first derivative of -1/4*y**4 + 0*y**2 + 2/9*y**3 - c + 0*y - 1/3*y**5. Factor q(z).
-z**2*(z + 1)*(5*z - 2)/3
Factor -33*g + 17*g + 13*g - 3*g**3 + 6*g**2.
-3*g*(g - 1)**2
Let u(v) be the third derivative of -v**6/780 + 3*v**5/130 - 9*v**4/52 + 9*v**3/13 - 9*v**2. Factor u(r).
-2*(r - 3)**3/13
Let v(b) = -17*b**2 + 26*b + 10. Let h(w) = -3*w**2 + 5*w + 2. Let x(d) = 33*h(d) - 6*v(d). Factor x(n).
3*(n + 1)*(n + 2)
Let v = -1056959/360 - -2936. Let s(o) be the third derivative of v*o**6 + 0*o + 1/60*o**5 + 1/18*o**3 + 1/24*o**4 - 2*o**2 + 0. Factor s(f).
(f + 1)**3/3
Let g(o) = o**3 + 2*o**2. Let n(i) = i**2. Let c(m) = g(m) - 5*n(m). Let q be c(3). Find p, given that -2/7*p**2 + 0*p + q = 0.
0
Let q = 10 - 7. Find u such that 2*u**3 + 2 + 21*u**2 - 4*u**q - 23*u**2 + 2*u = 0.
-1, 1
Suppose 2*s - 4 = 0, -2*s = -2*b - b + 5. Let g be b - 3*21/27. Factor -2/9*d - 2/9*d**4 - 2/3*d**3 - g*d**2 + 0.
-2*d*(d + 1)**3/9
Factor 9/4*j + 3/8*j**2 + 27/8.
3*(j + 3)**2/8
Determine x, given that 50*x**3 + x - 109*x**2 - 5*x - 24*x**4 + 107*x**2 = 0.
-1/4, 0, 1/3, 2
Let v(n) = 3*n**3 - 58*n**2 + 240*n - 318. Let w(o) = -20*o**3 + 405*o**2 - 1680*o + 2225. Let h(p) = -15*v(p) - 2*w(p). Factor h(g).
-5*(g - 4)**3
Factor 0 - 1/3*w - 2/3*w**2 + w**3.
w*(w - 1)*(3*w + 1)/3
Let v(q) be the first derivative of -1/42*q**4 - 2*q - 1/7*q**2 - 2 - 2/21*q**3. Let u(w) be the first derivative of v(w). Let u(k) = 0. What is k?
-1
Let m(h) be the second derivative of -h**5/40 + h**3/12 + 3*h. Factor m(g).
-g*(g - 1)*(g + 1)/2
Let s(k) be the first derivative of k**4/22 + 2*k**3/11 - 8*k/11 - 4. Factor s(x).
2*(x - 1)*(x + 2)**2/11
What is y in 6*y**3 - 9/2*y**4 + 0 - 2*y**2 + 0*y = 0?
0, 2/3
Solve v**2 + 2*v**2 - v - 4 - v**2 + 3*v = 0.
-2, 1
Suppose 4*h + 0*s - 2*s - 4 = 0, 5*s = -3*h - 10. Suppose h = -t - 0*t. What is g in 2*g**2 + 2/3*g + t + 2*g**3 + 2/3*g**4 = 0?
-1, 0
Let m be ((-28)/(-16) + -2)/(13/(-156)). Find d, given that -1/2*d**m + 1/2*d**2 + d + 0 = 0.
-1, 0, 2
Let r = -71 + 71. Let w(l) be the second derivative of 1/21*l**7 - 1/15*l**6 + 1/6*l**4 + r*l**3 + 0*l**2 - 4*l - 1/10*l**5 + 0. Factor w(x).
2*x**2*(x - 1)**2*(x + 1)
Let k(i) be the first derivative of -2*i**3/9 - i**2/3 + 4*i + 29. Factor k(d).
-2*(d - 2)*(d + 3)/3
Let x(k) be the third derivative of -1/150*k**5 - 1/175*k**7 + 1/840*k**8 + 0*k**4 - 5*k**2 + 0*k + 0 + 0*k**3 + 1/100*k**6. Factor x(y).
2*y**2*(y - 1)**3/5
Let z(x) = -37*x**2 - 17*x + 9. Let b be (-12)/3*-6 + -2. Let q be (-1)/(-3) + b/6. Let l(n) = 18*n**2 + 8*n - 4. Let h(g) = q*z(g) + 9*l(g). Factor h(u).
2*u*(7*u + 2)
Let m(f) = 3*f - 3. Let d be m(3). Suppose d = c - 3*a, 4*c + a - 15 = -4. Factor g**3 - 3*g**c + 1 + 6*g**2 - 9.
-2*(g - 2)**2*(g + 1)
Find j such that -4*j + 3*j**2 + 3*j**2 - j**3 - 2*j**2 + 5*j**3 - 4*j**4 = 0.
-1, 0, 1
Let z(g) be the first derivative of 2*g**3/9 - 2*g/3 - 13. Factor z(p).
2*(p - 1)*(p + 1)/3
Let q(v) be the first derivative of -v**3/2 - 3*v**2/4 + 7. Factor q(z).
-3*z*(z + 1)/2
Factor -6*y + 0*y**2 + 0*y**2 - 4*y**2 + 2*y.
-4*y*(y + 1)
Let j(t) be the second derivative of -t**7/7560 + t**5/360 - t**4/12 - t. Let b(n) be the third derivative of j(n). Factor b(z).
-(z - 1)*(z + 1)/3
Solve -12/5*x + 3/5*x**2 + 9/5 = 0.
1, 3
Factor -15/4*z + 15/8*z**4 + 3/4*z**5 - 9/8 - 15/4*z**2 + 0*z**3.
3*(z + 1)**4*(2*z - 3)/8
Let b = 4 + 5. Let y be b + 0 - 6/(-2). Determine m so that 8*m**3 + m + 2 - 2 - y*m**2 - 2*m**4 + 7*m - 2 = 0.
1
Let f(b) be the first derivative of -b**3/15 - b**2/5 + 23. Let f(a) = 0. What is a?
-2, 0
Let j be (-2)/3 - (-136)/(-12). Let p = j + 25/2. Determine g, given that -p*g**2 + 5/2*g - 1 + 3/2*g**4 - 5/2*g**3 = 0.
-1, 2/3, 1
Suppose -11*v + 9*v + 4 = 0. Let g be ((-10)/(-8))/((-2)/(-8)). Let -w**2 - 2 + g*w**v - 2*w**2 = 0. Calculate w.
-1, 1
Let r be -11 + -1 - (7 - 6). Let n = -10 - r. Factor 0 + 4/3*s - 4*s**2 + 3*s**n.
s*(3*s - 2)**2/3
Factor 60*q**5 + 58*q**5 - 4*q**3 - 116*q**5 - 2*q**4.
2*q**3*(q - 2)*(q + 1)
Let j(c) be the third derivative of c**5/30 + c**4/8 + c**3/2 + 7*c**2. Let h be j(-2). Factor 4/7*r**4 + 0*r**2 - 2/7*r**3 - 2/7*r**h + 0*r + 0.
-2*r**3*(r - 1)**2/7
Let m(i) be the second derivative of -1/63*i**7 + 0 + 1/15*i**6 + 0*i**2 - 1/10*i**5 + 2*i + 1/18*i**4 + 0*i**3. Factor m(s).
-2*s**2*(s - 1)**3/3
Factor -i + 9*i**2 + 4*i + 7*i - 16*i.
3*i*(3*i - 2)
Suppose -20 = -4*q - 0*q. Solve -12*h**5 - 3*h**3 + 4*h**2 - 9*h**q + 17*h**3 + 2*h**3 + h**4 = 0 for h.
-2/3, -2/7, 0, 1
Let h(m) = m**2 - m - 5. Let k(w) = -2*w**2 + w + 8. Let r(d) = 5*h(d) + 3*k(d). What is v in r(v) = 0?
-1
Let z(l) be the third derivative of 1/4*l**4 - 1/4*l**5 + 0 - 2*l**2 + 1/10*l**6 + 0*l - 1/70*l**7 + 0*l**3. Factor z(d).
-3*d*(d - 2)*(d - 1)**2
Factor -63*c - 3*c**2 - 52*c - 2 + 122*c.
-(c - 2)*(3*c - 1)
Let p(j) be the first derivative of j**3/18 + 7. Find n such that p(n) = 0.
0
Let j be (-45)/(-60)*2/36. Let x(d) be the third derivative of j*d**4 + 1/60*d**5 + 2*d**2 + 0*d + 0 - 1/3*d**3. Factor x(v).
(v - 1)*(v + 2)
Let 7/9*d - 16/9*d**3 + 8/9*d**2 + 1/9 = 0. Calculate d.
-1/4, 1
Suppose 28 = -2*t - 0. Let d be -2 - (36/t - 0). Factor 2/7*j**2 + d + 6/7*j.
2*(j + 1)*(j + 2)/7
Let f(p) be the third derivative of p**5/140 + 5*p**4/28 + 25*p**3/14 + 10*p**2. Factor f(n).
3*(n + 5)**2/7
Determine o, given that -3*o**5 - 9*o**3 + 0*o**3 - 6*o**2 + 18*o**3 = 0.
-2, 0, 1
Let o(l) = -l**2 + 4*l + 2. Suppose 0 = -0*d - 2*d. Let q(z) = -8*z - 1 + d*z + 3*z**2 - 2 + 0. Let m(t) = -5*o(t) - 2*q(t). Factor m(h).
-(h + 2)**2
Let p(q) be the first derivative of q**4/5 - 2*q**3/5 + 2*q/5 - 21. Factor p(l).
2*(l - 1)**2*(2*l + 1)/5
Let h(d) be the first derivative of 1 + 7/60*d**5 + 0*d - 5/24*d**4 - 1/40*d**6 + 1/6*d**3 + 3/2*d**2. Let j(c) be the second derivative of h(c). Factor j(u).
-(u - 1)**2*(3*u - 1)
Let x(h) be the first derivative of h**5/30 - h**4/24 + 7. Find g, given that x(g) = 0.
0, 1
Let h(j) = 2*j**2 - 4*j - 4. Suppose 5*m + 0*t - 45 = -5*t, 3*t - 15 = 0. Let d = -3 + 4. Let r(v) = -v**2 - v - 1. Let n(y) = d*h(y) + m*r(y). Factor n(i).
-2*(i + 2)**2
Find a, given that -10*a - 45/2*a**3 + 0 + 50*a**2 = 0.
0, 2/9, 2
Let u be -4 + 6 + 0 + (-88)/45. Let d(x) be the first derivative of 1/18*x**4 - u*x**5 - 3 - 1/9*x**2 + 2/27*x**3 + 0*x. Factor d(y).
-2*y*(y - 1)**2*(y + 1)/9
Let n = -6 + 9. Determine s so that 3 + 0 - 2*s**5 - 2*s**n - 4*s**4 - 3 = 0.
-1, 0
Factor 79*l + 4*l**2 + 4*l**3 - 79*l.
4*l**2*(l + 1)
Suppose 0 = 2*v + 3*h + 5, -4*v + 2 = -0*h + 2*h. Suppose 2*c + 14 = 2*m + 4*c, -m + 5*c = 17. Find r, given that -2/3*r**v + 0*r**m + 2/3*r**4 + 0*r + 0 = 0.
-1, 0, 1
Factor -25/4*w - 3/2 - 7/2*w**2.
-(2*w + 3)*(7*w + 2)/4
Let o = 11 - 19. Let f = o - -12. Factor -4*x**f + 2*x**4 - 5*x**5 + 3*x**5.
-2*x**4*(x + 1)
Let -285/2*m**2 - 5/2 - 475/2*m**3 - 125*m**4 - 65/2*m = 0. Calculate m.
-1, -1/2, -1/5
Let z(r) be the second derivative of 4/21*r**3 + 1/42*r**4 + 4/7*r**2 + 0 + 2*r. Factor z(g).
2*(g + 2)**2/7
Suppose 0 - 2/13*f + 2/13*f**5 + 4/13*f**4 - 4/13*f**2 + 0*f**3 = 0. Calculate f.
-1, 0, 1
Let q(l) be the second derivative of 2*l**3/3 - l**2 - l. Let p(a) = -a**2 - 1. Let v(u) = -3*p(u) + q(u). Factor v(m).
(m + 1)*(3*m + 1)
Suppose 0 = -2*k - k. Let a = 196 + -383/2. Suppose 4*o**2 - a*o**5 - 11*o**3 + k + 12*o**4 - 1/2*o = 0. Calculate o.
0, 1/3, 1
Let c(a) be the second derivative of 3*a**5/20 - a**4/4 - 2*a**3 + 6*a**2 - 10*a. Determine o so that c(o) = 0.
-2, 1, 2
Let s(x) be the second derivative of -x**4/18 + 2*x**3/9 + 8*x**2/3 - 25*x. Let s(j) = 0. Calculate j.
-2, 4
Let k(x) be the third derivative of -x**2 + 1/6*x**3 + 0 - 1/12*x**4 + 1/60*x*