 the first derivative of 1/5*o**5 - 1 - 1/8*o**2 + 1/3*o**3 + 0*o - v*o**6 - 3/8*o**4. Determine g, given that t(g) = 0.
0, 1
Let i be (-36)/(-17) - (-12)/(-102). Let d be (-2 - -3) + (-1)/5. Suppose 0 + 0*u**3 - 2/5*u - 4/5*u**i + 2/5*u**5 + d*u**4 = 0. Calculate u.
-1, 0, 1
Let v(w) = w**3 - 6*w**2 + 5*w + 2. Let h be v(5). Factor -6*k**h + 4*k**4 + 6*k**3 - k**4 + 2*k - 5*k**4.
-2*k*(k - 1)**3
Let -4*q**3 + q + 6*q**3 + 21*q**4 - q**5 - 25*q**4 + 4*q**2 - 2*q**5 = 0. What is q?
-1, -1/3, 0, 1
Let a(z) be the second derivative of z**6/30 - z**5/5 - z**4/12 + 2*z**3/3 + 28*z. Factor a(w).
w*(w - 4)*(w - 1)*(w + 1)
Let o(h) be the second derivative of -3*h + 1/24*h**3 + 0 + 1/48*h**4 + 0*h**2. Factor o(m).
m*(m + 1)/4
Suppose 0 = -3*y - 5*d - 18, -4*d + 3*d + 58 = -5*y. Let j = y + 13. Factor -2/7*x**j - 2/7 - 4/7*x.
-2*(x + 1)**2/7
Let 0 + 8/9*r - 4/9*r**2 = 0. Calculate r.
0, 2
Let y(i) be the first derivative of 4*i**4 - 4*i**3 - 2*i**2 + 7. Factor y(k).
4*k*(k - 1)*(4*k + 1)
Let l(k) be the third derivative of -1/160*k**6 + 0*k + 0*k**4 + 0 + 0*k**3 - 1/80*k**5 - k**2. Factor l(n).
-3*n**2*(n + 1)/4
Factor 0*i**3 + 1/2*i**4 - 1/2*i**2 + 0 + 0*i.
i**2*(i - 1)*(i + 1)/2
Let t(v) be the second derivative of v**4/4 + v**3/2 - 3*v**2 + 4*v. Solve t(y) = 0 for y.
-2, 1
Determine d so that 3/7*d - 3/7*d**3 - 6/7 + 6/7*d**2 = 0.
-1, 1, 2
Let q be (-2)/(-8) + (-15)/108. Let n(y) be the second derivative of -1/20*y**5 + q*y**3 + 0 - 1/36*y**4 - 2*y + 0*y**2. What is j in n(j) = 0?
-1, 0, 2/3
Let s = -48 - -52. Suppose 6/5*u - s*u**3 - 2/5 - 42/5*u**4 - 18/5*u**5 + 12/5*u**2 = 0. Calculate u.
-1, 1/3
Factor -2/7*t**2 - 2/7*t + 2/7 + 2/7*t**3.
2*(t - 1)**2*(t + 1)/7
Let v(k) be the second derivative of k**8/840 + k**7/210 - k**5/30 - k**4/12 - k**3/2 - 3*k. Let c(n) be the second derivative of v(n). Factor c(z).
2*(z - 1)*(z + 1)**3
Let y(s) = -2*s**3 - 18*s**2 + 5*s + 12. Let n(z) = 25*z**3 + 215*z**2 - 60*z - 145. Let t(u) = 3*n(u) + 35*y(u). Find h such that t(h) = 0.
-3, -1, 1
Let y be (-18)/(-8) + 2/(-8). Let r be (-57)/(-52) + 1 + 194/1261. What is d in 1/2 - 9/4*d**3 + r*d - 1/2*d**y = 0?
-1, -2/9, 1
Let b(a) = 3*a**3. Let y be 1*-1*1*3. Let k = 116 + -131. Let j(f) = f**4 - 14*f**3. Let m(i) = k*b(i) + y*j(i). Suppose m(q) = 0. Calculate q.
-1, 0
Let i be (-38)/(-3) + 8/(-12). Let g be ((-36)/168)/(i/(-14)). Factor -1/4*b**2 - 1/4*b**3 + g + 1/4*b.
-(b - 1)*(b + 1)**2/4
Let u(y) = -y**3 - y**2 + 5*y + 2. Let f be (-69)/21 + 4/14. Let j be u(f). Factor 5*l**3 + 5*l**2 - j*l**3 + 2*l**3 - 2*l - 5*l**4.
-l*(l - 1)*(l + 1)*(5*l - 2)
Factor 0 + 3*v**2 + 0*v**3 + 0*v - 3/4*v**4.
-3*v**2*(v - 2)*(v + 2)/4
Let t(h) be the second derivative of -h**4/4 - h**3/2 + 10*h. Find a such that t(a) = 0.
-1, 0
Let b(g) be the third derivative of -g**5/390 + g**4/52 - 2*g**3/39 + 15*g**2. What is u in b(u) = 0?
1, 2
Suppose 0 = 4*u - u - 4*u. Let 2/5*d**2 - 1/5*d**4 - 1/5 + 0*d + u*d**3 = 0. What is d?
-1, 1
Let w(f) be the first derivative of 1/150*f**5 + 0*f**3 - 1/2*f**2 - 1/300*f**6 + 0*f**4 + 2 + 0*f. Let g(a) be the second derivative of w(a). Factor g(b).
-2*b**2*(b - 1)/5
Let m(b) = 13 - 3*b**3 + 5*b**3 - 5*b**2 - b**3 + 14*b**2 - 9*b. Let k be m(-10). Factor 8*j**2 - 3*j + 0*j - 3*j**3 + j - k*j**3.
-2*j*(j - 1)*(3*j - 1)
Suppose 2*i - 3*i + 3 = 0. Suppose 8/7*b + 2/7*b**4 - 6/7*b**2 + 8/7 - 4/7*b**i = 0. What is b?
-1, 2
Let o = 71 + -567/8. Let b(j) be the second derivative of 0 + o*j**4 - 1/2*j**2 + 1/12*j**3 + 2*j. Factor b(a).
(a + 1)*(3*a - 2)/2
Let v(a) be the third derivative of -a**8/126 - 2*a**7/315 + a**6/48 + a**5/45 + a**4/144 + 4*a**2. Determine j, given that v(j) = 0.
-1, -1/4, 0, 1
Let w = -82 + 56. Let i be 13/w*(0 + 0). Factor 0 + 3/5*s**2 + i*s.
3*s**2/5
Let j be 4/(-14) + (-16)/(-56). Let w(d) be the first derivative of -1/18*d**4 - 1 + 2/27*d**3 + j*d**2 + 0*d. Determine z so that w(z) = 0.
0, 1
Let j(z) be the second derivative of 0*z**2 + z + 1/20*z**6 + 0 + 0*z**4 - 1/8*z**3 + 9/80*z**5. Let j(i) = 0. Calculate i.
-1, 0, 1/2
Suppose -4*g + 8 = 0, -29 = 5*p + 2*g + 2. Let o be 2/p - (-6)/21. Solve 4/5*i - 4/5*i**3 + o - 2/5*i**4 + 2/5*i**2 = 0.
-2, -1, 0, 1
Let w = -13 + 15. Determine x so that -2*x + 2 - 9*x**2 + 2*x**3 + 2*x**w + 5*x**2 = 0.
-1, 1
Let o(r) be the first derivative of -r**3/6 - r**2/2 - r/2 - 8. Factor o(k).
-(k + 1)**2/2
Let t(r) be the first derivative of 2*r**3/33 - 4*r**2/11 + 6*r/11 - 17. Find s such that t(s) = 0.
1, 3
Let y = -204 - -204. Factor y*v + 2/5*v**3 + 8/5 - 6/5*v**2.
2*(v - 2)**2*(v + 1)/5
Suppose 20 = -4*i, 4*i + 48 - 13 = 5*j. Let k be 1 + 0 - 1/2. Determine f, given that 1/2*f + 1/2 - 1/2*f**2 - k*f**j = 0.
-1, 1
Let u(i) be the first derivative of -2*i**6/3 + 4*i**5/5 + 2*i**4 - 8*i**3/3 - 2*i**2 + 4*i + 2. Factor u(j).
-4*(j - 1)**3*(j + 1)**2
Let u = -5/38 - -53/114. Factor -5/3*p - 2/3 - u*p**3 - 4/3*p**2.
-(p + 1)**2*(p + 2)/3
Let q(b) = -22*b**3 - 88*b**2 + 22*b + 54. Let n(s) = 2*s**3 + 8*s**2 - 2*s - 5. Let d(j) = 68*n(j) + 6*q(j). Solve d(p) = 0.
-4, -1, 1
Let y(n) = -2*n**3 + n**2 + 3. Let k(q) = q**3 - q**2 - 2. Let f(j) = 3*k(j) + 2*y(j). Suppose f(p) = 0. Calculate p.
-1, 0
Let f be 1 - (0/3 + -1). Factor -2*w - 2 + 7*w**2 - f*w**2 - 3*w + 2*w**2.
(w - 1)*(7*w + 2)
Let n(v) = -5*v**3 + 4*v**2. Let x(d) = d + 8. Let o be x(-7). Let t(b) = b**3 - b**2. Let p(f) = o*n(f) + 4*t(f). Factor p(u).
-u**3
Let q = 253/3 + -84. Suppose 0*g + 1/3 - 2/3*g**2 + 0*g**3 + q*g**4 = 0. Calculate g.
-1, 1
Let x be 1/(-3)*-3*(-4)/(-8). Solve -x*l**4 + 1/2*l**2 + 0*l**3 + 0 - 1/4*l**5 + 1/4*l = 0.
-1, 0, 1
Let g(a) be the second derivative of a**8/504 - 2*a**7/315 + a**5/45 - a**4/36 + a**2 - 3*a. Let c(o) be the first derivative of g(o). Let c(w) = 0. What is w?
-1, 0, 1
Let i(m) be the third derivative of 1/14*m**7 + 0*m + 0 - m**3 - 3/20*m**5 + 7/8*m**4 - 7/40*m**6 - 5*m**2. What is c in i(c) = 0?
-1, 2/5, 1
Let b(q) be the second derivative of -q**6/24 - q**5/40 + 5*q**4/48 + q**3/12 - 3*q. Factor b(j).
-j*(j - 1)*(j + 1)*(5*j + 2)/4
Suppose 17 - 42 = -5*q. Let n(z) be the third derivative of 0*z + 0 - 1/60*z**6 - 1/168*z**8 + 0*z**4 + 0*z**3 - z**2 + 0*z**q - 2/105*z**7. Factor n(w).
-2*w**3*(w + 1)**2
Let v(t) = -t**4 - 2*t**3 + 5*t**2 + 8*t + 2. Let g(u) = -4*u**4 - 8*u**3 + 21*u**2 + 32*u + 7. Let o(r) = -4*g(r) + 18*v(r). Determine c, given that o(c) = 0.
-2, -1, 2
Let i = 61 + -57. Let s(w) be the second derivative of 2*w + 1/8*w**i + 0 + 1/60*w**6 - 3/40*w**5 - 1/12*w**3 + 0*w**2. Factor s(f).
f*(f - 1)**3/2
Let j = -8 + 11. Solve -44*f**4 + 9*f**j + 2*f**2 + 11*f**3 + 2*f**2 + 16*f**5 + 4*f**2 = 0 for f.
-1/4, 0, 1, 2
Let o(r) = -r**3 + 4*r**2 + r + 2. Let g(t) be the second derivative of -t**5/20 - t**4/12 + t**3/6 - t**2/2 - 2*t. Let x(w) = 3*g(w) + o(w). Factor x(h).
-(h - 1)*(h + 1)*(4*h - 1)
Let h be (-3)/1 + (-18)/(-6). Let k(s) be the third derivative of h*s + 1/36*s**4 - 2*s**2 + 0*s**3 + 0*s**5 - 1/180*s**6 + 0. Factor k(t).
-2*t*(t - 1)*(t + 1)/3
Let c(k) be the first derivative of -3*k**4/20 - 7*k**3/15 - k**2/5 - 3. What is x in c(x) = 0?
-2, -1/3, 0
Let z(f) = 6*f**3 + 2*f**2 - f + 3. Let x(j) = -j**3 - j**2 - j - 1. Let d(t) = 28*x(t) + 4*z(t). Let d(w) = 0. Calculate w.
-2, -1
Let x = 66 - 196/3. Solve 0*w - x*w**2 + 2/3 = 0.
-1, 1
Suppose -25 = -5*f - 2*b, 0 = 3*f + 2*b - 12 - 7. Factor 0 + 2/3*w**f + 4/3*w**2 + 2/3*w.
2*w*(w + 1)**2/3
Let s(p) = -6*p**2 - 30*p - 24. Let a(d) = -4*d**2 - 20*d - 16. Let l(x) = -7*a(x) + 5*s(x). Factor l(w).
-2*(w + 1)*(w + 4)
Let d be (4/12)/((-1)/(-3)). Let c be 3 - 4 - (-5 + d). Find h, given that c*h**2 + h + 4*h**4 - 6*h**3 + 0*h + h**2 - h**5 - 2*h = 0.
0, 1
Suppose 3 = 3*l + 3*n - 0*n, -5*n = 4*l - 2. Suppose -f - l = -2*f. What is r in r + 1/3*r**f - 1/3 - r**2 = 0?
1
Let i be 3 + 1 + 284/(-48). Let w = 9/4 + i. Factor 1/3*j**3 + 0*j + 1/3*j**2 + 0 - w*j**5 - 1/3*j**4.
-j**2*(j - 1)*(j + 1)**2/3
Let c(w) = w**2 - 8. Let r be c(4). Suppose -r*h + 7*h + 3 = 0. Factor 0*s**2 + 6/5*s**h + 0*s + 3*s**4 + 0 - 21/5*s**5.
-3*s**3*(s - 1)*(7*s + 2)/5
Suppose -3*k + k = -20. Solve -5*j - k*j**4 + 5*j + 16*j**3 + 8*j**2 = 0.
-2/5, 0, 2
Let p(f) be the first derivative of 40*f**6/3 - 28*f**5/5 - 11*f**4 - 8*f**3/3 - 2. Find y such that p(y) = 