f) be the first derivative of -2*f**5/45 - f**4/6 - 2*f**3/9 - f**2/9 + 9. Factor a(y).
-2*y*(y + 1)**3/9
Let u(o) = o**3 - o. Let y be u(2). Let v**4 - 3*v**4 + 4*v**4 - y*v**2 - 4*v = 0. Calculate v.
-1, 0, 2
Factor 2/5*s**3 - 6/5 - 2*s - 2/5*s**2.
2*(s - 3)*(s + 1)**2/5
Let 2/3*h**2 - 1/6*h**3 - 1/2*h + 0 = 0. Calculate h.
0, 1, 3
Suppose -m - 3*x - 71 = 3*m, 39 = -2*m - 5*x. Let d(n) = 5*n**2 - 9*n - 2. Let r(o) = -15*o**2 + 26*o + 6. Let g(v) = m*d(v) - 6*r(v). Factor g(s).
(s - 1)*(5*s + 2)
Suppose c + 10*c - 22 = 0. Factor -10/3*f**2 - 2/3*f**3 - c*f + 6.
-2*(f - 1)*(f + 3)**2/3
Let y(s) be the first derivative of 2*s**3/3 - 2*s**2 - 6*s + 4. Factor y(b).
2*(b - 3)*(b + 1)
Factor -2/9*n**2 - 32/9 - 16/9*n.
-2*(n + 4)**2/9
Let t(g) = g**4 - g + 1. Let j(u) = -3*u**4 - 2*u**2 + 4*u - 3. Let z(o) = -j(o) - 4*t(o). Suppose z(d) = 0. Calculate d.
-1, 1
Let h(w) be the first derivative of w**7/105 - w**6/210 - w**2/2 + 1. Let z(p) be the second derivative of h(p). Let z(r) = 0. What is r?
0, 2/7
Suppose -2/3*y**4 + 0*y + 0 - 2/3*y**2 - 4/3*y**3 = 0. Calculate y.
-1, 0
Let r(n) = 15*n + 78. Let f be r(-5). Factor -4/5*c**2 - 2/5 + 4/5*c**f - 7/5*c.
(c - 2)*(2*c + 1)**2/5
Let s(q) be the third derivative of q**6/600 - q**5/60 + q**4/15 - 2*q**3/15 + 11*q**2. Factor s(b).
(b - 2)**2*(b - 1)/5
Suppose -3/2 + 3/4*z**3 + 3/2*z**2 - 3/4*z = 0. Calculate z.
-2, -1, 1
Solve 2*q - 1/2 + 4*q**4 - 7*q**3 + 3/2*q**2 = 0 for q.
-1/2, 1/4, 1
Suppose 3*b**5 - 17*b**4 - 18*b**4 + 54*b**4 - 16*b**4 = 0. What is b?
-1, 0
Let v(q) be the second derivative of -q**6/1260 + q**5/210 - q**4/84 - q**3/2 - 3*q. Let i(j) be the second derivative of v(j). Factor i(f).
-2*(f - 1)**2/7
Let y(o) = -o - 2*o**2 + o**3 + 3*o**2 + 0*o**3. Let p be y(0). Factor 2/5*w**2 + 0 + p*w.
2*w**2/5
Let p(z) = z**2 + 9*z - 4. Let m be p(-9). Let t be ((-3)/2)/(3/m). Let -3*j - j**t + j + 4*j = 0. What is j?
0, 2
Suppose -c + 2*c + 10 = 0. Let y be ((-3)/c)/(2/5). Let y*a**2 + 0 + 1/2*a**5 - 3/4*a**4 - 1/4*a - 1/4*a**3 = 0. What is a?
-1, 0, 1/2, 1
Let k(n) be the third derivative of 0*n - n**2 + 3/80*n**5 + 0 - 1/16*n**4 - 1/160*n**6 + 0*n**3. Find q such that k(q) = 0.
0, 1, 2
Suppose -10 = -m + k, -6*m - 5*k = -m. Let x(z) = -z - 7. Let l be x(-10). What is y in -l*y**4 + 2*y**4 - 2*y**2 - y**m + y + 3*y**4 = 0?
-1, 0, 1
Let j = 31 + -25. Let c(w) be the third derivative of 2*w**2 + 0 + 7/540*w**j + 0*w**3 + 1/54*w**5 + 1/315*w**7 + 1/108*w**4 + 0*w. Suppose c(v) = 0. What is v?
-1, -1/3, 0
Suppose 12/7*o + 3/7*o**2 + 0 = 0. Calculate o.
-4, 0
Let c = -1521 + 13664/9. Let o = c + 28/9. Factor 0 + o*g + 1/3*g**2.
g*(g + 1)/3
Let q(c) = -4*c**2 + 9*c**2 + 16 + 9*c - c**2. Suppose -2*d = -5*d - 9. Let g(k) = 2*k**2 + 5*k + 8. Let t(i) = d*q(i) + 7*g(i). Solve t(u) = 0.
-2
Let w(d) be the third derivative of d**6/540 + 6*d**2. Find f, given that w(f) = 0.
0
Let i(b) be the second derivative of 1/48*b**4 + 1/80*b**5 + 0*b**3 - 4*b + 0*b**2 + 0. Factor i(d).
d**2*(d + 1)/4
Suppose 12 = -s + 5*s. Let f be (4*10/4)/6. Factor 0 + n**2 - 2/3*n + f*n**s.
n*(n + 1)*(5*n - 2)/3
Solve 36*a + 27*a**2 + 6*a**2 + 83*a**3 + 12 - 74*a**3 = 0 for a.
-2, -1, -2/3
Let s(p) be the first derivative of 0*p**4 + 1/2*p**2 + 2 + 0*p - 1/150*p**5 + 0*p**3 + 1/300*p**6. Let q(a) be the second derivative of s(a). Factor q(w).
2*w**2*(w - 1)/5
Let u = -5/148 - -1229/1332. Find g such that -2/9*g**2 - u + 8/9*g = 0.
2
Let l(r) be the second derivative of r**6/1800 - r**5/300 + r**4/120 + r**3/3 + r. Let p(m) be the second derivative of l(m). Factor p(u).
(u - 1)**2/5
Find g, given that 2/11*g - 2/11*g**4 - 4/11*g**3 - 2/11 + 2/11*g**5 + 4/11*g**2 = 0.
-1, 1
Let i(d) be the second derivative of -d**5/80 - d**4/32 - d**2 + d. Let g(u) be the first derivative of i(u). Factor g(o).
-3*o*(o + 1)/4
Let a(n) be the second derivative of -n**9/9072 + n**7/1260 - n**5/360 + n**3/2 + 5*n. Let g(b) be the second derivative of a(b). Factor g(l).
-l*(l - 1)**2*(l + 1)**2/3
Let v(i) be the first derivative of -9*i**3 - 33*i**2/2 - 6*i - 8. Factor v(u).
-3*(u + 1)*(9*u + 2)
Let c(r) be the second derivative of -r**7/2520 + r**6/720 + r**4/12 + r. Let v(a) be the third derivative of c(a). Suppose v(u) = 0. What is u?
0, 1
Let g be ((-15)/(-70))/((-3)/(-16)). Factor -8/7*v + 2/7*v**2 + g.
2*(v - 2)**2/7
Let b = -1 + 6. Let n(z) be the third derivative of -1/15*z**b - 2*z**2 - 1/60*z**6 + 1/12*z**4 + 0 + 0*z + 2/3*z**3. Factor n(g).
-2*(g - 1)*(g + 1)*(g + 2)
Let n(b) be the third derivative of b**8/28 + 22*b**7/105 + b**6/2 + 3*b**5/5 + b**4/3 - 6*b**2. Determine q, given that n(q) = 0.
-1, -2/3, 0
Let l = 49/117 + -1/9. Let z = 75 + -71. Suppose 4/13*q + 18/13*q**z + l*q**5 + 18/13*q**2 + 28/13*q**3 + 0 = 0. What is q?
-2, -1, -1/2, 0
Suppose v = 4 + 1. Let t be ((-2)/(-8))/(v/10). Factor -1/2*r**2 + r - t.
-(r - 1)**2/2
Suppose s - 6*s + 10 = 0. Let k(g) be the first derivative of -2/15*g**3 - s + 2/5*g + 0*g**2. Let k(l) = 0. Calculate l.
-1, 1
Suppose -2*x + 2*c + 9 + 3 = 0, 20 = -4*c. Let r be (1 - x) + 0 + 3. Factor 0 - 1/4*q**5 + 0*q + 0*q**4 + 0*q**r + 0*q**2.
-q**5/4
Let w be (12/48)/(2/24). Let f = 803/3 + -264. Determine m, given that m**4 + 2/3 + f*m**3 + w*m + 5*m**2 = 0.
-1, -2/3
Let z(f) be the first derivative of f**5/10 - 12. Factor z(r).
r**4/2
Let j(m) be the second derivative of m**5/10 - m**4/3 + m**3/3 + 8*m. Solve j(a) = 0.
0, 1
Let g = -7 + 12. Let c be g/2*1/10. Find d, given that 0*d**2 + 0*d + 1/4*d**4 + 0 + c*d**3 = 0.
-1, 0
Suppose -g = 2*g. Let v(b) be the second derivative of -1/2*b**2 + 1/3*b**3 + 1/30*b**6 - 1/10*b**5 + 2*b + 0 + g*b**4. Factor v(c).
(c - 1)**3*(c + 1)
Let o = 62 - 247/4. Solve -3/4*a**2 + 1/4*a**3 + 3/4*a - o = 0.
1
Let u be ((-85)/(-15) + -5)/((-15)/(-9)). Factor 0 - u*i + 4/5*i**2.
2*i*(2*i - 1)/5
Factor 69/2*u + 3/2*u**3 - 33/2 - 39/2*u**2.
3*(u - 11)*(u - 1)**2/2
Suppose -3*j - 23 = -38. Let u(f) be the third derivative of -1/315*f**7 + 1/504*f**8 + 0*f**4 + 0 + 0*f**j + 0*f**6 + 0*f**3 + f**2 + 0*f. Factor u(o).
2*o**4*(o - 1)/3
Suppose 2/5*o**2 + 2/15 + 2/15*o**3 + 2/5*o = 0. Calculate o.
-1
Let c(r) be the second derivative of 4*r + 1/7*r**2 - 1/84*r**4 + 0 + 1/42*r**3. Factor c(o).
-(o - 2)*(o + 1)/7
Factor -4 + 5*a - 17*a + 5*a**2 + 11*a**2.
4*(a - 1)*(4*a + 1)
Let p(o) be the third derivative of -o**6/120 + o**4/8 + o**3/3 + 7*o**2. Factor p(y).
-(y - 2)*(y + 1)**2
Let k be ((-46)/(-24) - 2)/(-5). Let y(m) be the third derivative of k*m**5 + 0 + 1/120*m**6 + 0*m + 0*m**3 - 1/210*m**7 - 2*m**2 - 1/24*m**4. Factor y(u).
-u*(u - 1)**2*(u + 1)
Let k(n) = 4*n**2 - 13*n - 17. Let h(s) = -s**2 + 3*s + 4. Let t be (3 + 9/(-12))*-4. Let y(i) = t*h(i) - 2*k(i). Factor y(g).
(g - 2)*(g + 1)
Let c(h) be the second derivative of -h**6/70 - 9*h**5/140 + h**4/28 + 3*h**3/14 + 36*h. Suppose c(k) = 0. Calculate k.
-3, -1, 0, 1
Let r(z) be the third derivative of -1/168*z**8 + 0*z + 1/6*z**5 - 2*z**2 + 0*z**3 + 1/6*z**4 - 1/105*z**7 + 1/20*z**6 + 0. Factor r(n).
-2*n*(n - 2)*(n + 1)**3
Let j = 10 - 8. Factor 0*o**2 - o**3 - o + 0*o**2 + 2*o**3 - o**j + 1.
(o - 1)**2*(o + 1)
Let t = -19 - -12. Let y = t + 11. Solve -4/5 - 1/5*v**y + 3/5*v**2 - 4/5*v + 2/5*v**3 = 0 for v.
-1, 2
Suppose -1/2*v**2 + 1/2 - 1/2*v + 1/2*v**3 = 0. What is v?
-1, 1
Let h be (2 + -2)/(-2 + 0). Let v(x) be the first derivative of -3*x**2 + 1 - x + 6*x**2 + h*x + x**4 - 5*x**3 + 2*x**3. Factor v(d).
(d - 1)**2*(4*d - 1)
Let j = 171 - 171. Factor -1/5*t**5 - 3/5*t**4 + j + 0*t - 3/5*t**3 - 1/5*t**2.
-t**2*(t + 1)**3/5
Let q(j) be the second derivative of 2*j**7/189 + 4*j**6/27 + 11*j**5/15 + 40*j**4/27 + 32*j**3/27 + 2*j + 21. Factor q(p).
4*p*(p + 1)**2*(p + 4)**2/9
Suppose -17*s - 2 = -16*s, -10 = -v + 5*s. Factor 0*t + 4/3*t**2 + 8/3*t**3 + 4/3*t**4 + v.
4*t**2*(t + 1)**2/3
Let z(q) be the third derivative of q**6/240 + q**5/40 + q**4/16 + q**3/12 - 11*q**2. Factor z(o).
(o + 1)**3/2
Factor -c**2 - c - 3*c + 0*c**2 + 3*c**2.
2*c*(c - 2)
Let c(w) be the third derivative of w**2 + 1/60*w**6 + 1/168*w**8 + 2/105*w**7 + 0 + 0*w**3 + 0*w**5 + 0*w**4 + 0*w. Factor c(n).
2*n**3*(n + 1)**2
Suppose 0 = -5*q + q. Let b(r) be the second derivative of -1/27*r**3 - 1/27*r**4 + 0 - r + q*r**2. Factor b(i).
-2*i*(2*i + 1)/9
Let q