/3*v**3 + 4/9 - 2/3*v - 8/9*v**4 - a*v**2 = 0 for v.
-2, -1, 1/4
Let r(s) be the third derivative of -1/78*s**4 - 1/130*s**6 + 0*s**3 + 0*s + 7/390*s**5 - 1/1365*s**7 + 2*s**2 + 0 + 1/1092*s**8. Solve r(t) = 0.
-2, 0, 1/2, 1
Let y = 88 - 263/3. Factor -1/3*g**3 - y*g**2 + 1/3*g + 1/3.
-(g - 1)*(g + 1)**2/3
Let r(m) be the third derivative of 1/27*m**3 + 1/945*m**7 + m**2 + 1/135*m**6 + 1/45*m**5 + 0*m + 0 + 1/27*m**4. Factor r(l).
2*(l + 1)**4/9
Suppose -4/7*g**4 - 20/7*g**2 + 8/7*g + 0 + 16/7*g**3 = 0. Calculate g.
0, 1, 2
Suppose 5*h - 109 = -39. Factor 5*k + h*k**4 - 5*k**2 - 9*k + 27*k**2 - 32*k**3.
2*k*(k - 1)**2*(7*k - 2)
Factor 6 + 10*p**2 + 2*p**3 + 0 - 44*p + 58*p.
2*(p + 1)**2*(p + 3)
Let s = 1/36 - -137/252. Find m such that 2/7*m**3 - 6/7*m**4 - s - 2/7*m + 10/7*m**2 = 0.
-1, -2/3, 1
Let v(c) = 5*c**5 + 4*c**3 + 2*c**2 - 9*c - 6. Let l(s) = -s**5 + s**4 - s**2 + s + 1. Let p(u) = 4*l(u) + v(u). Find j such that p(j) = 0.
-2, -1, 1
Factor 3/4*i**4 + 1/4*i**5 - i**2 + 0 + 0*i**3 + 0*i.
i**2*(i - 1)*(i + 2)**2/4
Let c be (1 + 28/(-12))*1/(-10). Let x(b) be the first derivative of -1/5*b**2 + 0*b - 3 - c*b**3. Find u, given that x(u) = 0.
-1, 0
Factor -34 + 32 - 2*b**2 + 4*b**2.
2*(b - 1)*(b + 1)
Let u be (-1 - -3) + 1320/(-715). Factor -u*n**3 + 2/13 + 6/13*n**2 - 6/13*n.
-2*(n - 1)**3/13
Factor -1/9*f**2 + 0 - 1/9*f.
-f*(f + 1)/9
Let i = 84/13 + -323/52. Suppose -i*n**4 - 1/2*n + 1/4 + 0*n**2 + 1/2*n**3 = 0. Calculate n.
-1, 1
Let k = -6 + 10. Determine g so that 2*g**2 + 2*g**4 + 2 - 2 - k*g**3 + 0*g**2 = 0.
0, 1
Let r = -19 + 20. Let g be 72/21*r/4. Factor 0*v**2 - g*v + 2/7*v**3 + 4/7.
2*(v - 1)**2*(v + 2)/7
Let d(q) = -q**2 + 13*q + 19. Let p be d(14). Suppose 5*t - 3*t**3 - p*t - 6*t**2 = 0. What is t?
-2, 0
Suppose -16 = -10*b + 14. Let k(t) be the first derivative of 0*t + 3 + 21/2*t**4 - 26/3*t**b + 2*t**2. Factor k(l).
2*l*(3*l - 1)*(7*l - 2)
Let x = 36 - 62. Let q be (-2 - x/6) + -2. Find c such that 1/3*c**4 + c**3 + 0 + c**2 + q*c = 0.
-1, 0
Suppose r - 1 = -3*p, 5 = 5*p - 4*r - 25. Factor -j**4 - 5*j**2 + 2*j**p + 3*j**2 - j**5.
-j**4*(j + 1)
Factor -2*u**5 - 3*u**5 - 2*u**2 - u + 2*u**4 + u**5 + 5*u**5.
u*(u - 1)*(u + 1)**3
Let a(m) = m**2 - 3*m + 1. Let d be a(4). Suppose -4*s + 4 + 4 + s**2 + 1 - d = 0. Calculate s.
2
Suppose 0 = 9*i - 6*i - 6. Let f(n) = n**2 + 2*n - 1. Let m(y) = -5*y**2 - 11*y + 5. Let a(g) = i*m(g) + 11*f(g). Factor a(q).
(q - 1)*(q + 1)
Let 0*z**2 - 1/7*z**3 - 2/7*z**4 + 0*z + 0 - 1/7*z**5 = 0. What is z?
-1, 0
Let w(c) be the third derivative of 0*c + 1/120*c**6 + 0 + 3*c**2 + 0*c**5 + 0*c**3 - 1/24*c**4. Let w(f) = 0. Calculate f.
-1, 0, 1
Let c(h) = -h**2 - 13*h + 10. Let q(y) = -2*y**2 - 25*y + 20. Let i(p) = -11*c(p) + 6*q(p). Let r be i(-8). Factor -4/11*z - 2/11*z**3 + 0 + 6/11*z**r.
-2*z*(z - 2)*(z - 1)/11
Let o(h) be the second derivative of -1/54*h**4 + 0*h**2 + 0 + 1/135*h**6 - 8*h + 0*h**3 + 2/45*h**5 - 4/189*h**7. Let o(y) = 0. What is y?
-1, 0, 1/4, 1
Let r be -1*(-3)/(6/2). Factor -3*w + r + 5*w**3 + 0*w - 2*w**2 + 1 - 2*w**3.
(w - 1)*(w + 1)*(3*w - 2)
Factor -9*c**2 - 4*c**2 - 324 + 72*c + 9*c**2.
-4*(c - 9)**2
Factor 0*l + l**4 - 1/3*l**5 + 1/3*l**2 - l**3 + 0.
-l**2*(l - 1)**3/3
Let r(d) be the second derivative of -d**9/45360 + d**8/20160 + 5*d**4/12 + 4*d. Let q(n) be the third derivative of r(n). Factor q(i).
-i**3*(i - 1)/3
Let q(c) be the first derivative of 7*c**5/80 + c**4/24 - 7*c**3/24 - c**2/4 + 3*c - 1. Let x(v) be the first derivative of q(v). Factor x(i).
(i - 1)*(i + 1)*(7*i + 2)/4
Let u(c) = -c**3 - c**2 + 2*c + 3. Let p be u(-2). Solve 0 + 0*v**4 - v**p - v**2 - 2 + 6*v**2 + v - 3*v**4 = 0 for v.
-1, 2/3, 1
Let v(m) be the third derivative of m**6/24 - m**5/4 + 5*m**4/8 - 5*m**3/6 - 67*m**2. Factor v(o).
5*(o - 1)**3
Suppose b - 13 = -8. Let b + 6*t - 2*t**3 + 7*t**2 + 4*t**3 - t**2 - 3 = 0. Calculate t.
-1
Let d(b) be the second derivative of b**5/130 - b**4/39 + b**3/39 - 16*b. Solve d(q) = 0.
0, 1
Let q(a) be the second derivative of a**6/90 + a**5/20 + a**4/18 + 3*a + 10. Factor q(h).
h**2*(h + 1)*(h + 2)/3
Let c(z) be the second derivative of z**4/6 - z**3/2 + z**2/2 + 2*z. Let d be c(2). Determine k so that 1/4*k**4 + 0 + 0*k**2 + 0*k + 1/4*k**d = 0.
-1, 0
Let y(n) be the second derivative of -n**4/36 - n**3/9 + 13*n. Let y(q) = 0. What is q?
-2, 0
Let r = 70 + -206/3. Factor r*b**2 - 14/3*b**3 + 0*b + 2*b**4 + 0.
2*b**2*(b - 2)*(3*b - 1)/3
Factor 0*z + 0 + 0*z**2 + 3/5*z**3.
3*z**3/5
Let d = 1 + 6. Let b = d + -2. Factor 6 - g**2 - 3 + 5 + 8*g - b*g**2.
-2*(g - 2)*(3*g + 2)
Factor 1/8*o**4 - 1/4*o**2 + 0*o + 1/8*o**3 + 0.
o**2*(o - 1)*(o + 2)/8
Let i(w) be the first derivative of 2*w**3/21 - 8*w**2/7 + 2*w - 6. Let i(l) = 0. What is l?
1, 7
Let t(p) = 0*p + p + 0*p**3 + 2 - p**3. Let f be t(0). Factor -4*l**3 - f*l**3 + 4*l**3.
-2*l**3
Suppose 6*r - 24 = -0. Let u(a) be the first derivative of -1/4*a**r + 1/2*a**2 + 0*a + 0*a**3 + 3. Let u(c) = 0. Calculate c.
-1, 0, 1
Factor -2 - 5/2*y - 1/2*y**2.
-(y + 1)*(y + 4)/2
Suppose m - 2*m + 9 = 4*d, 11 = 3*d + 5*m. Let f = 2 - d. Factor 0 + 0*h**3 + 0*h**2 + 1/3*h**5 + f*h + 0*h**4.
h**5/3
Suppose 2*z = s, 3*s = -0*s - 0*s. Factor 3*a**3 + 2/3*a**2 + 7/3*a**4 + 0*a + z.
a**2*(a + 1)*(7*a + 2)/3
Suppose -2 + 2 = -8*m. Factor 3/4*u**2 + 0 + m*u.
3*u**2/4
Suppose -7*s + 5*s - o + 4 = 0, 3*o - 3 = -3*s. Factor 6 + s*q - 4*q**2 + q**2 - 3*q**2 + 3*q**2.
-3*(q - 2)*(q + 1)
Solve 1/2*j**2 + 0 + 0*j + 9/4*j**3 = 0 for j.
-2/9, 0
Suppose 18 = -18*x + 54. Let z(y) be the second derivative of -y + 0*y**5 - 1/4*y**x + 1/12*y**4 + 0*y**3 - 1/60*y**6 + 0. Factor z(v).
-(v - 1)**2*(v + 1)**2/2
Let o(k) be the third derivative of k**8/42 + 17*k**7/105 + 7*k**6/15 + 11*k**5/15 + 2*k**4/3 + k**3/3 - 27*k**2. Factor o(t).
2*(t + 1)**4*(4*t + 1)
Let b be (-4)/8*-2*14. Factor 6*o + 3*o**2 - b + 14.
3*o*(o + 2)
Factor -r**2 - 8*r + 6*r**2 - 388 - 3*r**2 + 396.
2*(r - 2)**2
Let u(b) = b**3 - 4*b**2 - 5*b. Let h be u(5). Determine d so that -d + 4*d + 6*d**2 - 6*d**4 - 3*d**5 + h*d**5 = 0.
-1, 0, 1
Let f(o) = 3*o + 17. Let a be f(-5). Factor 3*w**2 - 3*w - w**2 - 9*w**4 - w**a - 4*w**2 + 15*w**3.
-3*w*(w - 1)**2*(3*w + 1)
Suppose 3*f - 7*f - 1 = -3*h, -h = 5*f + 6. Let t be (-3)/(-18)*(-2)/h. Factor -w**3 + t - 1/3*w**2 + w.
-(w - 1)*(w + 1)*(3*w + 1)/3
Let g be 3/2*(-3 + 5). Determine t, given that -3*t**3 - t**3 + t**g = 0.
0
Suppose -6*v + 25 = -v. Let k(r) be the second derivative of 2*r + 0 + 0*r**3 + 0*r**2 + 1/24*r**4 + 1/80*r**v. Find h, given that k(h) = 0.
-2, 0
Let m(p) be the second derivative of p**4/48 - p**3/3 + 2*p**2 + 10*p. What is i in m(i) = 0?
4
Let v(d) = -d**3 + 3*d**2 + d. Let s be v(2). Let n(g) = g**2 - 6*g + 2. Let o be n(s). Factor -2/9 + 0*q + 2/9*q**o.
2*(q - 1)*(q + 1)/9
Let j(m) be the third derivative of m**6/12 - m**5/12 - 2*m**2. Factor j(o).
5*o**2*(2*o - 1)
Suppose -k - 4*y = 2*k + 17, -3*k + 4*y = 1. Let i(z) = z + 3. Let a be i(k). Factor 3/2 - 3/2*d**2 + a*d.
-3*(d - 1)*(d + 1)/2
Let g be 92/22 - (-4 - 92/(-22)). Let c(z) be the second derivative of 1/5*z**2 + 1/15*z**g + 2*z + 1/100*z**5 + 0 + 1/6*z**3. Determine t so that c(t) = 0.
-2, -1
Let x(h) be the first derivative of h**6/1260 + h**5/210 - h**3/3 - 2. Let m(l) be the third derivative of x(l). Let m(z) = 0. Calculate z.
-2, 0
Let v(h) be the third derivative of -h**6/360 + h**5/60 - h**4/24 - h**3/6 - 3*h**2. Let m(j) be the first derivative of v(j). Find s such that m(s) = 0.
1
Find n such that 57*n**4 + 28*n**3 - 45*n**4 - 25*n**2 + n**2 = 0.
-3, 0, 2/3
Let v(l) = 4*l**2 - l - 2. Let j(o) = -o**2. Suppose 3 = 3*z - 6. Let y(i) = z*j(i) + v(i). Let y(p) = 0. What is p?
-1, 2
Let v(l) be the third derivative of l**8/336 + l**7/70 - l**5/15 + 31*l**2. Factor v(m).
m**2*(m - 1)*(m + 2)**2
Let x be (-52 - -50)/(2*-5). Factor -x*l**2 - 1/5*l + 0.
-l*(l + 1)/5
Let v(m) be the first derivative of 3*m**4/20 + 2*m**3/15 - 3*m**2/10 - 2*m/5 - 1. Suppose v(r) = 0. What is r?
-1, -2/3, 1
Suppose -3*g + 17 = 4*n, 0 = -4*n + 3*g - 4*g + 11. Suppose -5*o + 6 = -3*o, -12 = -n*z + 2*o. Factor y**2 - 4*y**4 + z*y**4 - y**4 - 5*y**4.
-y**2*(y - 1)*(y + 1)
Suppose -2*g = -0*g - 6. Solve 1/3*d**g + 0*d**2 + 0 + 0*d + 1/3*d**5 + 2/3*d**4 = 0.
-1, 0
Let o