irst derivative of 2/5*v**5 + 4 + 0*v**4 + 0*v - 2/3*v**3 + 0*v**2. Factor w(o).
2*o**2*(o - 1)*(o + 1)
Factor 2*r**3 - 3*r - 5 + 9 - 3*r.
2*(r - 1)**2*(r + 2)
Let t(v) be the second derivative of 4*v + 0*v**2 + 0 + 1/21*v**7 + 0*v**3 + 3/10*v**5 + 1/6*v**4 + 1/5*v**6. Determine w, given that t(w) = 0.
-1, 0
Suppose u - 39 = 6. Let w be 10/u*(-24)/(-1). Factor w*o + 10/3*o**2 + 8/3 + 2/3*o**3.
2*(o + 1)*(o + 2)**2/3
Factor -1/4*o**3 + 1/4*o**2 + 0*o + 0.
-o**2*(o - 1)/4
Suppose 2*m + 4*c - 12 = 0, 2*c - 35 = 5*m - c. Let h(g) = -g**3 - 5*g**2 - 6*g - 5. Let a be h(m). Factor 1/2*d**2 + 0*d**a - 1/2*d**4 + 0*d + 0.
-d**2*(d - 1)*(d + 1)/2
Suppose 0 = -25*o + 22*o. Suppose -1/3*k + o + 1/3*k**3 + k**4 - k**2 = 0. What is k?
-1, -1/3, 0, 1
Let b(d) = d**2. Let f(x) = -4*x**3 - 3*x**2 + 6*x + 4. Let m(c) = -3*b(c) + f(c). Factor m(p).
-2*(p - 1)*(p + 2)*(2*p + 1)
Let p(d) be the second derivative of -d**4/24 - d**3/2 - 2*d**2 - 44*d. Factor p(t).
-(t + 2)*(t + 4)/2
Let i(r) be the second derivative of -49/30*r**5 - 20/3*r**3 + 5*r - 7*r**4 - 8/3*r**2 + 0. Factor i(k).
-2*(k + 2)*(7*k + 2)**2/3
Suppose 7*i = -12*i + 14*i. Factor 0*j + 8/9*j**3 + i - 2/3*j**4 - 2/9*j**2.
-2*j**2*(j - 1)*(3*j - 1)/9
Let r be 5/(33/6 + -3). Solve 0*b + 1/4*b**3 + 0 - 1/4*b**r = 0 for b.
0, 1
Let a(d) be the first derivative of -2*d**5/95 + 7*d**4/38 - 12*d**3/19 + 20*d**2/19 - 16*d/19 + 1. Let a(n) = 0. Calculate n.
1, 2
Let p(f) be the first derivative of 2/3*f**2 + 2/9*f**3 + 6 + 0*f. Determine n so that p(n) = 0.
-2, 0
Let a(v) be the first derivative of -v**8/84 + v**6/30 + v**2/2 + 9. Let m(b) be the second derivative of a(b). Factor m(r).
-4*r**3*(r - 1)*(r + 1)
Let i(m) be the first derivative of -m**3/5 + 3*m**2/5 - 3*m/5 - 18. Solve i(c) = 0 for c.
1
Suppose -5*c = -4*m + 13, 2*m - 5*c = -3 + 12. Factor 1/3*d - 1/3*d**3 + 2/3 - 2/3*d**m.
-(d - 1)*(d + 1)*(d + 2)/3
Let f be 1/7 + -9*(-6)/378. Let 0 + 0*t + 2/7*t**2 + 4/7*t**3 + f*t**4 = 0. What is t?
-1, 0
Let a = 134/3 + -44. Let t = -2/49 + 104/147. Factor -t*r + 0 + a*r**2.
2*r*(r - 1)/3
Let l(w) be the third derivative of 0*w + 0*w**4 + 0*w**5 + 2*w**2 + 0 - 1/240*w**6 + 0*w**3. Let l(s) = 0. Calculate s.
0
Let b(x) = -13*x**2 - 16*x - 21. Suppose -5*j - 23 = 22. Let y(o) = 3*o**2 + 4*o + 5. Let q(k) = j*y(k) - 2*b(k). Factor q(m).
-(m + 1)*(m + 3)
Let g(a) be the first derivative of -6*a**5/5 - 9*a**4/4 + 8*a**3 - 9*a**2/2 + 67. Factor g(n).
-3*n*(n - 1)*(n + 3)*(2*n - 1)
Let f(j) = -j**2 + j. Let r(q) = 4*q**2 - 2*q. Let y = 25 + -22. Let s be (-1 + (-6)/(-4))*2. Let k(c) = s*r(c) + y*f(c). Factor k(h).
h*(h + 1)
Suppose 4*y - 4*g + 4 = -0, g - 17 = -3*y. Let f(r) = r**3 + 5*r**2 - r - 2. Let s be f(-5). Find z, given that -z**4 + 0*z**y + s*z**3 - 3*z**3 + z**3 = 0.
0, 1
Let c = 79 + -235/3. Suppose c*b + 0 + 2*b**2 + 2*b**3 + 2/3*b**4 = 0. What is b?
-1, 0
Suppose 2*d + 5*b - 21 = 0, 3*b = -d - b + 15. Let m be d + (-15)/9*1. Let 2/3*x**4 + 2*x**3 - m - 2*x + 2/3*x**2 = 0. What is x?
-2, -1, 1
Let l(j) be the third derivative of 1/30*j**5 + 0 + 5*j**2 - 2/3*j**3 + 0*j + 1/12*j**4. Factor l(a).
2*(a - 1)*(a + 2)
Let b(n) be the second derivative of -n**5/70 - n**4/21 - 2*n. Factor b(w).
-2*w**2*(w + 2)/7
Let m = 237 - 2602/11. Let l = 7/33 + m. Determine t, given that 2/9*t**2 + 0 + l*t**4 + 2/9*t - 10/9*t**3 = 0.
-1/3, 0, 1
Factor -5*f**5 + 13*f**5 - 5*f**5 - 8*f**4 - 2*f**2 + 7*f**3.
f**2*(f - 1)**2*(3*f - 2)
Let f(o) be the second derivative of o**5/4 + 5*o**4/4 - 25*o. Suppose f(k) = 0. Calculate k.
-3, 0
Let i(v) be the second derivative of -v**5/30 + v**4/18 - 9*v. Factor i(l).
-2*l**2*(l - 1)/3
Let b(h) be the first derivative of -h**6/1800 + h**5/200 - h**4/60 - 2*h**3/3 - 1. Let q(a) be the third derivative of b(a). Factor q(g).
-(g - 2)*(g - 1)/5
Let x(z) = -2*z**3 + 2*z**2 + 6*z - 6. Let m(j) = 3*j**3 - 3*j**2 - 7*j + 7. Let f(t) = 6*m(t) + 7*x(t). Factor f(q).
4*q**2*(q - 1)
Let u(o) be the first derivative of -8*o + 2/3*o**3 + 3 + 1/4*o**4 - 2*o**2. Factor u(a).
(a - 2)*(a + 2)**2
Let z be (-1)/(9/12 + -1). Find s such that -1 - s**4 + 6*s - 2 + 4*s**z - 6*s**3 = 0.
-1, 1
Let h(f) be the second derivative of 2*f**6/45 + 2*f**5/5 + 4*f**4/3 + 16*f**3/9 - 11*f. Find x such that h(x) = 0.
-2, 0
Let s(d) = 1 + 2*d**2 + d**3 + 2*d**3 - 2*d + 0*d**2. Let b be s(1). Find h such that 2*h**2 - 4*h**3 - 2 + 2*h**b + 2 = 0.
0, 1
Let c(s) = 3*s**2 + 4*s + 2. Let f be c(-3). Suppose -5*y - 3*t = -16 - 3, 3*t = -4*y + f. Factor g**4 - y*g**4 + 0*g**4 + g**3.
-g**3*(g - 1)
Let b = -88 - -91. Let t(m) be the second derivative of -1/12*m**b + 3*m + 0*m**2 - 1/48*m**4 + 0. Determine w so that t(w) = 0.
-2, 0
Let v(h) = -h**3 + h + 4. Let t be v(0). Factor 24*o**2 - 3 + 3 - 1 + 3 + 13*o + 17*o**3 + 4*o**t.
(o + 1)**2*(o + 2)*(4*o + 1)
Factor 1/5*h**4 - h**3 - 4/5*h + 8/5*h**2 + 0.
h*(h - 2)**2*(h - 1)/5
Suppose -i + 2 = -1. Let l(w) be the first derivative of 0*w + 0*w**2 - 1/10*w**4 + 1/15*w**6 + 2 + 2/25*w**5 - 2/15*w**i. Factor l(p).
2*p**2*(p - 1)*(p + 1)**2/5
Let y(z) = -2*z**2 - 26*z + 8. Let j(x) = 2*x. Let v(m) = 20*j(m) + 2*y(m). Factor v(l).
-4*(l - 1)*(l + 4)
Suppose -18/13*n**2 + 0 + 0*n - 12/13*n**3 - 2/13*n**4 = 0. Calculate n.
-3, 0
Let j = -182 + 182. Find s such that 0 + 2/5*s**5 - 6/5*s**4 + 6/5*s**3 + j*s - 2/5*s**2 = 0.
0, 1
Let x = -4557/11 + 415. Factor 2/11*i**4 - x*i**3 + 8/11*i**2 + 0*i + 0.
2*i**2*(i - 2)**2/11
Let s(j) be the third derivative of j**6/510 - j**5/510 - j**4/51 + j**3/17 + 13*j**2. Determine q, given that s(q) = 0.
-3/2, 1
Let t(q) be the first derivative of 1/10*q**5 - 1/4*q**4 + 0*q - 1/6*q**3 + 1/2*q**2 - 3. Solve t(w) = 0 for w.
-1, 0, 1, 2
Determine n, given that -n - n**2 - 1/3 - 1/3*n**3 = 0.
-1
Let r(k) = 2*k**4 - 10*k**3 - 14*k**2 - 6*k - 4. Suppose 0*u - 2*u = 6. Let z(c) = c**4 - 10*c**3 - 14*c**2 - 6*c - 3. Let p(d) = u*r(d) + 4*z(d). Factor p(v).
-2*v*(v + 1)**2*(v + 3)
Let t(f) be the third derivative of f**6/360 - f**5/180 - f**4/36 - 10*f**2. Factor t(j).
j*(j - 2)*(j + 1)/3
Factor -2/5*j - 2/15*j**3 + 0 - 8/15*j**2.
-2*j*(j + 1)*(j + 3)/15
Let p = -677 - -677. Factor -2/17*a**5 + 0*a**4 + p + 0*a + 2/17*a**3 + 0*a**2.
-2*a**3*(a - 1)*(a + 1)/17
Factor 0 - 3/5*b**2 - 6/5*b.
-3*b*(b + 2)/5
Factor -k + 2*k - 26*k**2 + 2*k**2 - 21*k - 4*k**3.
-4*k*(k + 1)*(k + 5)
Factor 7/3*l**3 - 4*l**2 + 2/3 + l.
(l - 1)**2*(7*l + 2)/3
Factor -x**2 + 4/3 + 4/3*x.
-(x - 2)*(3*x + 2)/3
Suppose 0*s = 2*s - 10. Let k be (-6)/21 + (-4)/(-14). Factor -6/5*j**3 - 6/5*j**4 + k - 2/5*j**s - 2/5*j**2 + 0*j.
-2*j**2*(j + 1)**3/5
Determine x, given that -3/4*x**4 + 3/2*x**2 - 3/4*x - 3/4 + 3/2*x**3 - 3/4*x**5 = 0.
-1, 1
Let v = -26 + 46. Suppose u + u - 24 = 4*g, 0 = -4*g - v. Factor -2*h**u - 2/3 + 2/3*h**3 + 2*h.
2*(h - 1)**3/3
Factor 0*a**3 - 3/4*a**4 + a**2 + 1/4*a**5 + 0 + 0*a.
a**2*(a - 2)**2*(a + 1)/4
Let x(q) be the third derivative of 4*q**7/525 - q**6/100 - q**5/150 - 10*q**2. Factor x(a).
2*a**2*(a - 1)*(4*a + 1)/5
Let o(g) = g**2 + 6*g + 2. Let n be o(-6). Let u(s) be the second derivative of 3/20*s**5 + 0 - s - 6*s**n + 3/4*s**4 + 0*s**3. Suppose u(d) = 0. What is d?
-2, 1
Let y(i) be the first derivative of -2 + 0*i - i**2 + 2/3*i**3. Factor y(g).
2*g*(g - 1)
Factor -4/3*i**2 + 0 - 8/3*i.
-4*i*(i + 2)/3
Suppose 6*w = w + 40. Factor y**3 - 3*y**3 + 6*y**2 + 16*y**4 - 8*y**5 - 4*y**2 - w*y**3.
-2*y**2*(y - 1)*(2*y - 1)**2
Suppose 0*d - 2*d - 3*t - 1 = 0, -d - 3*t - 5 = 0. Suppose 5*z - 32 = d*k, z + z + 5*k = -7. Factor -2/3*q**2 + 2/3*q**z + 0*q**3 + 0 + 0*q.
2*q**2*(q - 1)*(q + 1)/3
Let z(l) = 4*l**3 - 22*l**2 + 70*l - 52. Let r(o) = -o**3 + 1. Let n(j) = -4*r(j) - 2*z(j). Solve n(a) = 0 for a.
1, 5
Let x(a) be the first derivative of -a**8/840 - 2*a**7/315 - a**6/135 - 8*a**3/3 - 7. Let b(z) be the third derivative of x(z). Solve b(q) = 0.
-2, -2/3, 0
Let y = 441 + -3079/7. Find k, given that -8/7*k - 2/7*k**2 - y = 0.
-2
Let v be 218/(-78) + (-14)/(-7). Let f = -6/13 - v. Solve 1/3*g - f*g**3 - 1/3*g**2 + 1/3 = 0 for g.
-1, 1
Let m be ((-6)/(-16))/((-215)/60). Let j = 1657/602 - m. Find q such that 10/7*q**5 + 8/7*q**3 + j*q**2 - 24/7*q**4 + 4/7 - 18/7*q = 0.
-1, 2/5, 1
Let w be 2/8 - (-163)/(-4). Let d = w - -41. Determine z, given that 0*z**2 + 0*z + d*z**4 + 