+ 80. Let c(u) be the second derivative of 0 - 1/12*u**4 + 0*u**2 + 0*u**3 + n*u. Let c(o) = 0. What is o?
0
Let a(v) be the second derivative of -v**9/7560 + v**8/1680 - v**7/1260 - v**4/6 - 2*v. Let b(u) be the third derivative of a(u). Factor b(y).
-2*y**2*(y - 1)**2
Let n(c) = -7*c**3 - c**2. Let b(z) = 6*z**3. Let u(f) = 4*b(f) + 3*n(f). Factor u(m).
3*m**2*(m - 1)
Let r(u) be the second derivative of u**5/180 + u**4/72 - u**3/9 - u**2/2 - 4*u. Let w(l) be the first derivative of r(l). Determine b, given that w(b) = 0.
-2, 1
Let p(w) be the first derivative of -w**6/3 - w**5/10 + 7. Factor p(o).
-o**4*(4*o + 1)/2
Let x = -1597/3 - -539. Factor 1/3 + x*w**2 + 8/3*w**3 + 17/6*w.
(w + 2)*(4*w + 1)**2/6
Factor -2*f - 72 + 12*f - 2*f**2 - f + 15*f.
-2*(f - 6)**2
Let f = 212 - 6150/29. Let z = f - -33/58. Factor 1/2*i**2 - z*i + 0.
i*(i - 1)/2
Let j(n) be the first derivative of 3*n**4/4 + 2*n**3 - 3*n**2/2 - 6*n - 14. Factor j(f).
3*(f - 1)*(f + 1)*(f + 2)
Let w(g) = g - 4. Let p be w(8). Solve 2*a**2 - p*a**2 + 3 + a + 1 - 3*a = 0 for a.
-2, 1
Let p be 2/3 - (-20)/6 - 0. Factor 0*l - 1/2*l**2 + 1/2*l**p + 0 + 0*l**3.
l**2*(l - 1)*(l + 1)/2
Let q(y) = 3*y**3 + y**2 - 2*y + 4. Let k(w) = 3*w**3 - 3*w + 3. Let p(g) = -4*k(g) + 3*q(g). Solve p(o) = 0 for o.
-1, 0, 2
Let y(o) = -o**3 - 14*o**2 + o + 18. Let p be y(-14). Find h, given that 0*h - 1/5*h**3 + 0*h**2 + 0 + 4/5*h**p = 0.
0, 1/4
Let h be 1*2/6*3. Suppose 0 = -u + 5*y - 3, 0 = 2*u + 5*y - 10 + h. Factor -3*q**u + 3*q + q**3 - 2*q + 5*q**2.
q*(q + 1)**2
Let m = -21 - -39. Factor 8 - 12*x**3 + 37*x**2 - 24*x - 11*x**2 + m*x**4 - 16*x**4.
2*(x - 2)**2*(x - 1)**2
Suppose -3*c + 7*c - 2*v - 8 = 0, 0 = 5*c + v - 10. Let -1/3*h**c - h - 2/3 = 0. What is h?
-2, -1
Let x be 64/10 + -2 - 6/15. Factor 0 - 3/2*v**3 + v**2 - 1/4*v**5 - 1/4*v + v**x.
-v*(v - 1)**4/4
Let v(c) = c**2 - 5*c - 3. Let i be v(6). Let g(h) = -h - 4. Let q be g(-8). Factor -2*z**i + 4*z + z**2 + z**4 - q*z.
z**2*(z - 1)**2
Let s be 1/3*1 + 0. Let u = -33 + 35. Factor -1/3*q**5 - 1/3*q**4 + 2/3*q**3 - 1/3*q + 2/3*q**u - s.
-(q - 1)**2*(q + 1)**3/3
Let g(s) = -5 + 4*s + 2 + 0*s - 3*s. Let a be g(8). Factor v**3 - v**2 - a*v**2 + 3*v**2 - 2 - v**2 + 5*v.
(v - 2)*(v - 1)**2
Factor -16 + 4*t**4 - 2*t**4 - 52*t**2 - 8*t**3 - 48*t - 6*t**4 - 16*t**3.
-4*(t + 1)**2*(t + 2)**2
Suppose -8*l = -19*l + 22. Factor -8/3*i + 16*i**l - 70/3*i**3 + 0.
-2*i*(5*i - 2)*(7*i - 2)/3
Suppose 54*x = 66*x - 36. Factor 0 - 1/4*k**4 + 0*k**2 + 0*k + 1/2*k**x.
-k**3*(k - 2)/4
Factor 6*w**2 + 6*w - 2*w**2 + 66*w + 183 + 141.
4*(w + 9)**2
Suppose 0 = 7*x - 3*x - 8. Factor f**x + 7/5*f + 2/5.
(f + 1)*(5*f + 2)/5
Let q(z) be the second derivative of -z**6/2160 + z**4/144 + 2*z**3/3 + 3*z. Let j(x) be the second derivative of q(x). Determine p so that j(p) = 0.
-1, 1
Let j(a) = 12*a**4 + 6*a**3 - 15*a**2 - 9*a. Let v(p) = -p**5 - 24*p**4 - 12*p**3 + 29*p**2 + 18*p. Let l(h) = 5*j(h) + 3*v(h). Find n, given that l(n) = 0.
-3, -1, 0, 1
Let b be 14/(((-9)/(-6))/1*2). Let h(z) be the first derivative of 4*z - 9*z**2 - 4 + b*z**3. Find v such that h(v) = 0.
2/7, 1
Let u be (6 - -3)/(3/2). Let y(m) be the first derivative of m**2 + 0*m - 4/3*m**3 + 0*m**4 - 3 - 1/3*m**u + 4/5*m**5. Factor y(g).
-2*g*(g - 1)**3*(g + 1)
Let z = 4 - 1. Factor -2*n**5 + 4*n**2 + 2*n**3 + z*n**3 - 3*n**3 + 4*n**3.
-2*n**2*(n - 2)*(n + 1)**2
Let p(c) be the first derivative of 5*c**3/3 + 5*c**2/2 + 16. Determine q, given that p(q) = 0.
-1, 0
Let l(u) be the second derivative of -u**7/3780 + u**6/270 - u**5/45 - 7*u**4/12 - 4*u. Let z(f) be the third derivative of l(f). Factor z(r).
-2*(r - 2)**2/3
Let p(z) be the third derivative of z**8/1344 - z**7/840 + 9*z**2. What is s in p(s) = 0?
0, 1
Factor -2/7 + 2/7*t**2 + 2/7*t - 2/7*t**3.
-2*(t - 1)**2*(t + 1)/7
Let c(u) = -u - 6. Let b be c(-6). Let j be (7 - 1)/(-6)*(-1 - 1). Determine l so that 2/3*l**j + 10/3*l**3 + 0 + b*l + 8/3*l**4 = 0.
-1, -1/4, 0
Let u be (-3 + 3/1)/(-2). Let n(j) be the second derivative of -1/3*j**3 - 3*j + 0 + u*j**4 + 1/30*j**6 - 1/2*j**2 + 1/10*j**5. Solve n(z) = 0.
-1, 1
Let a be (-8)/12 - 43/(-60). Let f(h) be the third derivative of 0*h + 1/24*h**4 - a*h**5 - 1/24*h**6 - h**2 + 1/6*h**3 - 1/105*h**7 + 0. Factor f(j).
-(j + 1)**3*(2*j - 1)
Let d(b) = 2*b + 10. Let r be d(-5). Factor -4/7*z**2 + 2/7*z + r.
-2*z*(2*z - 1)/7
Suppose 0 = -5*n - 5*i + 60, -47 = -4*n - 3*i - 0*i. Factor -5*w + n*w**2 - w - 23*w**2 - 9*w**2.
-3*w*(7*w + 2)
Let g(b) be the first derivative of b**5/4 + 3*b**4/8 - b**3 + b**2/2 + 1. Let z(k) be the second derivative of g(k). Factor z(x).
3*(x + 1)*(5*x - 2)
Let c(g) be the second derivative of 21*g**5/5 + 43*g**4/3 - 8*g**2 - 24*g. Factor c(o).
4*(o + 2)*(3*o + 1)*(7*o - 2)
Suppose -4*m - 10 = 2*n, -n + 5*m + 12 = -4*n. Suppose g**4 + 233*g**3 - 233*g**3 - 2*g**2 + n = 0. What is g?
-1, 1
Let p be (2 - 2)/(-1 + 3). Let c = p + 2. Factor 14*h + c*h**3 - 4*h + 0*h**3 + 4 + 8*h**2.
2*(h + 1)**2*(h + 2)
Let y(s) = 2*s - 9. Let x be y(7). Factor f**5 + 2*f**5 + f**4 - 4*f**x.
-f**4*(f - 1)
Suppose -4*w - 4 = -12. Let f(r) be the second derivative of 0*r**w + 1/12*r**4 + 0*r**3 - 1/30*r**6 + 0 + 4*r + 0*r**5. Find m, given that f(m) = 0.
-1, 0, 1
Let b = 1125 - 1122. Factor -4/9 + 11/9*g**2 - 1/3*g**b - 8/9*g.
-(g - 2)**2*(3*g + 1)/9
Let i = -39 - -13. Let l be (-4)/(-9) - i/(-117). Factor 2/9*r**4 - l*r**5 + 4/9*r**3 - 2/9*r + 2/9 - 4/9*r**2.
-2*(r - 1)**3*(r + 1)**2/9
Let w be (1 - 1) + (-540)/(-240). Suppose 3*g**3 - 3*g + w*g**2 + 3/4*g**4 - 3 = 0. Calculate g.
-2, -1, 1
What is q in 21*q**2 + 17*q**2 + 15*q**2 + 72*q - 49*q**2 = 0?
-18, 0
Let m(z) be the second derivative of -1/30*z**5 - 1/3*z**4 + 0 - 2*z - 1/2*z**2 - 4/3*z**3. Let r(a) be the first derivative of m(a). Solve r(y) = 0 for y.
-2
Let f(y) = -y - 6. Let o be f(-6). Let c(a) be the second derivative of 0 + a + 1/42*a**4 + o*a**3 - 1/7*a**2. Factor c(b).
2*(b - 1)*(b + 1)/7
Let z(c) = -17*c**2 - 15*c - 7. Suppose 0 = -0*b - b - 10. Let g be (-12)/(-5) + 4/b. Let m(x) = -4*x**2 - 4*x - 2. Let d(h) = g*z(h) - 9*m(h). Factor d(j).
2*(j + 1)*(j + 2)
Let p(t) = -t**3 + 7*t**2 + 8*t + 2. Let d be p(8). Let s(x) = x - 1. Let j be s(5). Determine m so that 12*m**d + 0*m**4 - 2*m**5 - 16*m**2 + 2*m + j*m**4 = 0.
-1, 0, 1
Let r(x) be the first derivative of x**6/9 - 14*x**5/15 + 3*x**4 - 44*x**3/9 + 13*x**2/3 - 2*x + 20. Factor r(y).
2*(y - 3)*(y - 1)**4/3
Let k be (1/12)/(60/27). Let j(q) be the third derivative of 1/20*q**5 + 1/48*q**4 + 2*q**2 + 0*q**3 + 0*q + k*q**6 + 1/105*q**7 + 0. Factor j(y).
y*(y + 1)**2*(4*y + 1)/2
Let a(h) be the first derivative of 4*h**6 + 12*h**5/5 - 9*h**4/2 - h**3 + 3*h**2/2 + 2. Let a(r) = 0. What is r?
-1, -1/2, 0, 1/2
Let l(z) = -16*z**3 - 6*z**2 + 10. Let x(u) = 5*u**3 + 2*u**2 - 3. Let a(g) = 6*l(g) + 20*x(g). Factor a(k).
4*k**2*(k + 1)
Let t = 22/5 + -21/5. Let a(z) be the second derivative of t*z**5 - 2/3*z**3 - 1/6*z**4 + 0 + z + z**2. Determine y so that a(y) = 0.
-1, 1/2, 1
Let k = 6 - -6. Let m be (-1 - 3)*(-2)/k. Determine d so that -2/3*d**2 + 0 - m*d**3 + 0*d = 0.
-1, 0
Factor 2*f + 12/5 + 2/5*f**2.
2*(f + 2)*(f + 3)/5
Let i(w) be the first derivative of -w**6/1260 - w**5/210 + 4*w**3/3 + 5. Let j(d) be the third derivative of i(d). Find m such that j(m) = 0.
-2, 0
Determine g, given that -2/9*g**3 + 0 + 0*g**4 + 1/9*g + 1/9*g**5 + 0*g**2 = 0.
-1, 0, 1
Let r(z) = 5*z**3 + 11*z**2 - 25*z + 21. Let u(d) = 6*d**3 + 10*d**2 - 24*d + 22. Let q(c) = -7*r(c) + 6*u(c). Solve q(h) = 0 for h.
1, 15
Factor 3*r**2 - 12 + 10*r - 8 + 8 - 5*r**2.
-2*(r - 3)*(r - 2)
Let t(s) be the second derivative of s**4/60 + s**3/10 + s**2/5 + 24*s. Let t(p) = 0. What is p?
-2, -1
Let k(c) = c**2 - 2. Let i be k(2). Suppose -i*b + 2 = -4. Solve 0 - 2/3*n**2 - 2/3*n**b + 0*n = 0 for n.
-1, 0
Suppose 1/3*o**2 - 1/2*o**4 + 1/6*o**5 + 1/3*o**3 - 1/2*o + 1/6 = 0. What is o?
-1, 1
Let z(o) be the third derivative of -o**6/120 + o**5/15 - 5*o**4/24 + o**3/3 + 35*o**2. Find a, given that z(a) = 0.
1, 2
Let d(p) be the third derivative of p**5/240 + p**4/24 + p**3/8 + 9*p**2. Let d(o) = 0. What is o?
-3, -1
Let m(u) = u**2 - 2*u + 2. Let p be m(3). Let c be (2 - (-30)/(-11))*-1. Find v such that -8/11*v**3 + 10/11*v + 4/1