third derivative of 1/12*o**3 - 1/120*o**6 + 1/24*o**4 + 0 + 0*o**5 + 3*o**2 + c*o - 1/420*o**7. Factor a(v).
-(v - 1)*(v + 1)**3/2
Let g(c) be the first derivative of -6 + c**2 + 131/8*c**4 - 76/5*c**5 - 20/3*c**3 + 4*c**6 + 0*c. Find b such that g(b) = 0.
0, 1/4, 2/3, 2
Factor 2*i**4 - 4*i**3 - 2*i**2 - 3 - 13*i + 17*i + 3.
2*i*(i - 2)*(i - 1)*(i + 1)
Let j = -25865/54 + 479. Let h(u) be the second derivative of 0*u**3 + 0 + 0*u**2 + 2*u + j*u**4. Find b, given that h(b) = 0.
0
Let b(s) be the first derivative of 2*s**5/5 - 2*s**3 - 2*s**2 - 4. Suppose b(j) = 0. Calculate j.
-1, 0, 2
Factor 2*j + j**2 + 0*j - 1 + 0*j - 2*j**2.
-(j - 1)**2
Let y be (-2)/9 + 13/18. Suppose -2*w = p, 6*p - w = 11*p - 18. Determine u so that -u + u**3 + 1/2 + 0*u**2 - y*u**p = 0.
-1, 1
Let f(r) be the second derivative of -7/48*r**4 - 1/12*r**3 + 0 + 0*r**2 + 6*r. Factor f(g).
-g*(7*g + 2)/4
Let h = 1/3 + -1/30. Let q(r) be the first derivative of -1/5*r + 4/15*r**3 + 2 - h*r**2. Suppose q(u) = 0. What is u?
-1/4, 1
Let s(z) be the second derivative of -49*z**5/110 - 21*z**4/11 - 20*z**3/11 - 8*z**2/11 + z - 1. Suppose s(o) = 0. What is o?
-2, -2/7
Let o(c) be the first derivative of -4 + 0*c**4 + 0*c**2 + 1/3*c**3 - 1/10*c**5 - 1/2*c. Solve o(i) = 0 for i.
-1, 1
Solve -u**4 + 3*u**4 - u**2 - u**4 + 2*u - 2*u**3 = 0.
-1, 0, 1, 2
Let x be (30 + -31)*(-1)/(-1 + 5). Find t such that 0 + 0*t + 1/4*t**3 - x*t**4 + 0*t**2 = 0.
0, 1
Let b(k) be the third derivative of 1/630*k**7 + 0*k**3 + 0*k**6 - 3*k**2 - 1/180*k**5 + 0*k + 0 + 0*k**4. Factor b(h).
h**2*(h - 1)*(h + 1)/3
Factor -9/8 + 15/8*w - 3/8*w**2 - 3/8*w**3.
-3*(w - 1)**2*(w + 3)/8
Let h = 3 + -5. Let q = h + 5. Factor 2/7*z**2 - 2/7 + 2/7*z - 2/7*z**q.
-2*(z - 1)**2*(z + 1)/7
Let n(h) be the first derivative of -h**3 + 0*h + 3/2*h**2 + 6 + h**6 - 9/4*h**4 + 3/5*h**5. Find v such that n(v) = 0.
-1, 0, 1/2, 1
Let a = 11 + -10. Let b be a/(-5) + (-26)/(-30). Factor 2/3 + 2/3*c**3 - b*c - 2/3*c**2.
2*(c - 1)**2*(c + 1)/3
Let l be 30/(-9)*12/(-10). Let v(s) be the second derivative of 3*s + 0*s**2 - 1/15*s**3 + 1/15*s**l - 1/50*s**5 + 0. What is a in v(a) = 0?
0, 1
Let i(x) = 15*x**2 + 42*x + 15. Let u(y) = 6*y**2 + 9*y + 4 + 8*y - 3 + 5. Let q(d) = -5*i(d) + 12*u(d). Suppose q(k) = 0. What is k?
-1
Factor 9/4 - 9*q**3 - 15/4*q**4 - 9/2*q**2 + 3*q.
-3*(q + 1)**3*(5*q - 3)/4
Let w(n) be the first derivative of -2*n**5/55 - n**4/22 + 2*n**3/33 + n**2/11 - 42. Factor w(r).
-2*r*(r - 1)*(r + 1)**2/11
Suppose -46*x - s = -50*x + 3, 6 = -x - 2*s. Factor 0*v + x*v**3 + 0 - 3/2*v**2 + 3/2*v**4.
3*v**2*(v - 1)*(v + 1)/2
Suppose -2 + 12*i - 9*i**3 - 23/2*i**2 = 0. Calculate i.
-2, 2/9, 1/2
Suppose -4*p = -3*p + 8. Let c be (-2)/(2/p*2). Determine w so that 3*w**c + w**3 - 4*w**4 - 2*w**3 = 0.
-1, 0
Let q = 11 - 7. Find t, given that -2 + q - t**3 - 2 + t = 0.
-1, 0, 1
Let i be (-1)/(-9) - (2 + (-78)/27). Let b(q) be the first derivative of -2/9*q - 2/9*q**3 - 4/9*q**2 + i. Let b(k) = 0. What is k?
-1, -1/3
Let r(v) be the first derivative of -v**6/3 + 4*v**5/5 + 11*v**4/2 - 8*v**3 - 36*v**2 + 6. Factor r(c).
-2*c*(c - 3)**2*(c + 2)**2
Let p = -6 + 2. Let y be (-2)/(-4)*(-4 - p). Let 2*a + a**2 - 3*a**2 + y*a = 0. Calculate a.
0, 1
Let k = -355 + 2143/6. Let b = 8/3 - k. Factor 0*r - b*r**2 + 1/2.
-(r - 1)*(r + 1)/2
Suppose 45*j - 20*j + j**4 + j**3 - 25*j - 2*j**2 = 0. Calculate j.
-2, 0, 1
Let 13*h**3 - 10*h**2 - 8*h**3 - 10*h + 5*h**2 = 0. Calculate h.
-1, 0, 2
Let i = 242 - 967/4. What is w in i*w**3 + 2*w - 5/4*w**2 - 1 = 0?
1, 2
Suppose o = -5, 3*m = -0*m - 2*o - 4. Let x(l) be the first derivative of 1/2*l**m - 7/4*l**4 - 4/5*l**5 - 2/3*l**3 + 0*l - 3. Let x(u) = 0. What is u?
-1, 0, 1/4
Suppose -2*i - 4 = r + 2*i, 73 = 3*r - 5*i. Let z be 6/(-15) + r/15. Factor -4/3*l - 2/3 - z*l**2.
-2*(l + 1)**2/3
Let z(s) be the second derivative of -s**4/48 + s**3/24 + s**2/4 + 5*s. Factor z(m).
-(m - 2)*(m + 1)/4
Let x = 192 - 4607/24. Let v(o) be the second derivative of 0 - 2*o + 1/48*o**4 + 0*o**2 + x*o**3. What is l in v(l) = 0?
-1, 0
Let 5*p**3 + 1 + 2*p - 1 + 3*p**2 + 4*p**2 = 0. What is p?
-1, -2/5, 0
Let d(v) be the first derivative of -7*v**4/6 + 3*v**3 - 2*v**2 + 4*v + 2. Let t(r) be the first derivative of d(r). Factor t(o).
-2*(o - 1)*(7*o - 2)
Let q be 2/4*-1*-6. Factor -d**4 + 0*d**3 + 2*d - 3*d - q*d**3 - 3*d**2.
-d*(d + 1)**3
Let j = 8 + -7. Let q be 0 - j - (-10)/4. Solve 3*o + q*o**2 + 0 = 0 for o.
-2, 0
Let c be 110/(-11) + 1 + 0. Let z be (2/c)/((-4)/16). What is y in 8/9*y - 2/9*y**2 - z = 0?
2
Let b(g) be the second derivative of g**7/42 + g**6/6 + 7*g**5/20 - g**4/12 - 4*g**3/3 - 2*g**2 + 20*g. Factor b(y).
(y - 1)*(y + 1)**2*(y + 2)**2
Let v(j) = -11*j + 0 + 1 + 1 + 21*j**3 + 14*j**5 + 24*j**4 + 9. Let t(u) = 3*u**5 + 5*u**4 + 4*u**3 - 2*u + 2. Let x(q) = -11*t(q) + 2*v(q). Factor x(b).
-b**3*(b + 1)*(5*b + 2)
Solve -12/17*w + 18/17 + 2/17*w**2 = 0 for w.
3
Let j(l) be the first derivative of l**8/560 + l**7/140 - l**5/20 - l**4/8 - l**3/3 - 6. Let k(d) be the third derivative of j(d). Factor k(h).
3*(h - 1)*(h + 1)**3
Factor 49 + 112*y - 276*y**2 + 560*y**2 + y**4 + 16*y**3 - 206*y**2.
(y + 1)**2*(y + 7)**2
Let t be 0 + -1 + 4 + -1. Suppose -n = -1 - t. Factor -x**3 + 0*x**2 + 4*x**2 - n*x**2.
-x**2*(x - 1)
Let d = -4 + 6. Let s be 32/14 - d/7. Factor 7*f**2 - s*f - 2*f - 5*f**2 + 2.
2*(f - 1)**2
Suppose -8 = -3*i - 2*n, -5*i + 4*n + n - 20 = 0. Suppose -2 = -g - i. Determine b so that 4/3*b**2 + 4/3*b**4 - 1/3*b**5 - 1/3*b - g*b**3 + 0 = 0.
0, 1
Let p = -482276/33 - -14616. Let k = p - 10/11. Determine c so that 5/3*c**3 + 3*c - k - 4*c**2 = 0.
2/5, 1
Let p be (0 - 1/6)/((-12)/8). Let h(b) be the first derivative of 0*b**2 + 0*b + 1/12*b**4 - p*b**3 + 2. Suppose h(f) = 0. Calculate f.
0, 1
Suppose -5*q = -2*v - 14, 3*q + 2*v - 26 = -2*q. Solve -4/3*l**3 + 1/3*l**q + 2*l**2 + 1/3 - 4/3*l = 0 for l.
1
Suppose 6*b = 410 - 164. Let o = b - 161/4. Suppose 1/4*n**2 - 1/2*n**5 - 1/4*n + o*n**3 + 0 - 1/4*n**4 = 0. What is n?
-1, 0, 1/2, 1
Factor 222*n**3 - 117*n**3 + 10*n + 5*n**2 - 5*n**4 - 115*n**3.
-5*n*(n - 1)*(n + 1)*(n + 2)
Let s(x) be the second derivative of 0 - 4*x + 1/24*x**4 + 1/8*x**5 + 0*x**3 + 0*x**2. What is g in s(g) = 0?
-1/5, 0
Let j be (-108)/4*(-5)/5. Let q be j/6 + (-20)/5. Factor q*x**2 + x + 1/2.
(x + 1)**2/2
Let d(c) be the second derivative of c**5/100 + c**4/15 + c**3/10 - 5*c. Factor d(k).
k*(k + 1)*(k + 3)/5
Let k be (13 + (-75)/6)/((-2)/(-3)). Factor -3/4 + k*q**2 + 0*q.
3*(q - 1)*(q + 1)/4
Let q(y) be the third derivative of y**5/60 - 5*y**4/8 + 7*y**3/3 - 35*y**2. Factor q(h).
(h - 14)*(h - 1)
Let g = 2 - -1. Factor 1 + g + 2*f - f + 3*f + f**2.
(f + 2)**2
Find y such that 9*y - 1 + 2 - 2 - 3*y**2 - 5*y = 0.
1/3, 1
Let c(i) be the second derivative of -i**4 - 7*i**3/2 + 3*i**2 - i. Solve c(f) = 0 for f.
-2, 1/4
Solve 33*v**2 + 12*v**4 + 76*v**3 + 32*v + 96*v**2 - 9*v**2 = 0.
-4, -2, -1/3, 0
Let q(x) be the third derivative of -x**6/360 - x**5/60 - x**4/36 + 5*x**2. Factor q(d).
-d*(d + 1)*(d + 2)/3
Let u = 46 - 46. Let h(m) be the second derivative of u*m**2 - m + 0*m**4 + 0 + 1/60*m**5 - 1/18*m**3. Suppose h(f) = 0. Calculate f.
-1, 0, 1
Suppose 2*g - 4*m - 12 = 0, 5*g = -2*m + 6*m + 12. Find f such that g + 0*f - 4/3*f**2 - 17/3*f**4 - 5/3*f**5 - 16/3*f**3 = 0.
-2, -1, -2/5, 0
Let n(q) be the second derivative of 3/10*q**5 + 0 + 0*q**2 - 2/3*q**3 - 1/6*q**4 + 3*q. Factor n(k).
2*k*(k - 1)*(3*k + 2)
Let w(r) be the second derivative of -1/18*r**5 + 0 + 1/6*r**4 - 2*r + 1/27*r**7 + 0*r**2 - 1/15*r**6 - 2/27*r**3. Solve w(v) = 0.
-1, 0, 2/7, 1
Factor 220*o - 2*o**2 - 220*o + 2*o**4.
2*o**2*(o - 1)*(o + 1)
Let b(v) = -3 + 0 + 2. Let a(l) = -3 + l - 2*l**2 + l**3 + 0 + 0. Let t(h) = a(h) - 3*b(h). Factor t(f).
f*(f - 1)**2
Suppose -9 = 2*u - 3*c, 0 = -7*u + 2*u + 2*c - 6. Suppose -2*t - 5*o + o = 6, -4*t = -2*o - 18. Determine d so that -3*d**3 + u*d**2 + 5*d**t - 2*d**2 = 0.
0, 1
Let o(f) be the third derivative of f**5/240 + f**4/16 + 3*f**3/8 - f**2. Factor o(k).
(k + 3)**2/4
Let z = 657/5 - 131. Let s(x) be the first derivative of z*x - 2/15*x**3 + 2 + 1/10*x**4 - 1/5*x**2. Factor s(u).
2*(u - 1)**2*(u + 1)/5
Let d be (-15)/10*(0 - 8/42). Factor d*g**2 - 4/7 - 2/7*g.
2*(g - 2