0. Calculate o.
-1, 4
Let n(k) be the first derivative of -16/5*k + 6 - 25/2*k**4 - 20*k**3 - 12*k**2. Suppose n(p) = 0. What is p?
-2/5
Factor -1/5*o**3 - 12/5*o**2 - 64/5 - 48/5*o.
-(o + 4)**3/5
Determine g, given that -3/5*g + 0 + 6/5*g**2 - 3/5*g**3 = 0.
0, 1
Let z(g) be the first derivative of g**3/12 - 2. Factor z(w).
w**2/4
Let c(x) = x**3 + x**2 + 1. Let z(u) = -15*u**3 - u**2 + 10*u - 9. Let i(j) = -5*c(j) - z(j). Let i(v) = 0. What is v?
-1, 2/5, 1
Let h be 18/((-6)/1)*(-2)/15. Find g, given that 0*g + 3/5*g**5 + 0*g**2 - h*g**4 - 1/5*g**3 + 0 = 0.
-1/3, 0, 1
Let w(z) be the third derivative of z**10/113400 - z**8/7560 + z**6/540 + 7*z**5/60 + 6*z**2. Let l(t) be the third derivative of w(t). Factor l(n).
4*(n - 1)**2*(n + 1)**2/3
Let m(y) be the third derivative of y**5/240 - y**4/6 + 8*y**3/3 + 3*y**2. Factor m(x).
(x - 8)**2/4
Let q(g) be the first derivative of 3*g**5/5 - 3*g**3 - 3*g**2 - 28. Factor q(a).
3*a*(a - 2)*(a + 1)**2
Let d be ((-4)/14)/(5/(-35)). Find h such that -d*h**2 + 12*h - 12*h = 0.
0
Suppose -p - 2*p = -168. Let u be 20/p + 3/6. Suppose 4/7*k**2 + 2/7*k**5 - u*k + 2/7 + 4/7*k**3 - 6/7*k**4 = 0. What is k?
-1, 1
Let b be -8*((-51)/(-9) + -2). Let d = b - -30. Solve 4/3*p - d*p**2 - 2/3 = 0 for p.
1
Let z(j) = -5*j**4 - 2*j**3 - j**2. Let c(w) = -4*w**4 - w**3 - w**2. Let q(o) = 4*c(o) - 3*z(o). Factor q(t).
-t**2*(t - 1)**2
Let r = 121 + -119. Let d(k) be the second derivative of 0 + 3/10*k**5 + 3*k + 0*k**r + 1/3*k**3 + 1/15*k**6 + 1/2*k**4. Determine g so that d(g) = 0.
-1, 0
Solve -6*h**5 - 18*h**3 - 8*h**4 - 22*h**4 + 9*h**4 + 3*h**2 + 6*h = 0 for h.
-2, -1, 0, 1/2
Let x = -55 + 59. Factor 0*j + 4/9*j**x + 2/9*j**5 + 0*j**2 + 2/9*j**3 + 0.
2*j**3*(j + 1)**2/9
Suppose 4/3*d**4 - 16/3*d + 13/3*d**3 - 4/3 + d**2 = 0. Calculate d.
-2, -1/4, 1
Let b = 34 + -31. Suppose -4*o = -b - 5. Factor 7/2*i - 7/2*i**3 + i**o - 1.
-(i - 1)*(i + 1)*(7*i - 2)/2
Let d be 2 + (-3 - -1) - -4. Suppose -3*z = -d*z + 5. Factor f**2 + 2*f**2 - 2*f**2 + z*f**3 + 4*f**4.
f**2*(f + 1)*(4*f + 1)
Let q be ((-9)/(-6))/1*20/15. Factor 0 + 0*f - 2/3*f**q + 2/3*f**3.
2*f**2*(f - 1)/3
Let z = -27 - -55/2. Let w = 10 - 19/2. Suppose -w*s + s**2 - z*s**3 + 0 = 0. Calculate s.
0, 1
Let c(g) be the third derivative of 0*g + 1/360*g**6 - 1/180*g**5 - 5*g**2 + 0*g**3 - 1/36*g**4 + 0. Find u, given that c(u) = 0.
-1, 0, 2
Let d(l) = -6*l**2 - 85*l - 12. Let z be d(-14). Factor -1/3*x**3 - 1/6*x**4 + 2/3*x + 1/2*x**z - 2/3.
-(x - 1)**2*(x + 2)**2/6
Let u(v) = -v**2 - 6*v + 2. Let m(x) = x**2 - x - 1. Let p(r) = 10*m(r) + 2*u(r). Determine j so that p(j) = 0.
-1/4, 3
Let u = 3 - 0. Let x(c) be the third derivative of -4*c**2 + 1/8*c**4 + 1/20*c**5 + 0 - c**u + 0*c. Factor x(f).
3*(f - 1)*(f + 2)
Let i(q) = 2*q**3 - 27*q**2 - 81*q - 81. Let n(v) = 3*v**3 - 27*v**2 - 81*v - 81. Let j(r) = -6*i(r) + 5*n(r). Suppose j(y) = 0. What is y?
-3
Determine q so that -6 - 3*q + 10*q**2 + 0*q - 7*q**2 = 0.
-1, 2
Let 6 - t - 3*t**2 + 3*t - 3*t - 2*t = 0. What is t?
-2, 1
Let v be (-1)/(((-20)/(-8))/(-5)). Let k be -6*v/(-5) + -2. Let k*m**2 + 0 + 4/5*m = 0. What is m?
-2, 0
Let f = 59 + -56. Let 16/5*b - 50*b**5 - 12*b**f - 70*b**4 + 0 + 56/5*b**2 = 0. Calculate b.
-1, -2/5, 0, 2/5
Suppose o - 4 = 0, 0 = -q + 2*q + 5*o - 26. Suppose -k - 4*r = 13, -11 = -k + r + r. Factor -3*x**k - 6*x**2 - q*x**3 - 2*x**4 - 2*x + 3*x**3.
-2*x*(x + 1)**3
Let l(w) be the third derivative of -w**9/15120 + w**8/3360 + w**4/8 + 3*w**2. Let t(m) be the second derivative of l(m). Factor t(a).
-a**3*(a - 2)
Let x(m) be the third derivative of -1/6*m**4 + 0 - 7/240*m**6 - 23/240*m**5 - 4*m**2 - 1/6*m**3 + 0*m - 1/280*m**7. What is n in x(n) = 0?
-2, -1, -2/3
Factor -4*v - 1/2*v**2 - 2 + 3/2*v**3.
(v - 2)*(v + 1)*(3*v + 2)/2
Let r(g) be the second derivative of -g**7/126 - g**6/90 + g**5/30 - 2*g. Factor r(d).
-d**3*(d - 1)*(d + 2)/3
Let f(p) be the third derivative of p**8/672 + p**7/140 + p**6/80 + p**5/120 - 8*p**2. Suppose f(g) = 0. What is g?
-1, 0
Let j(v) = -v**3 + v. Let d(i) = -4*i**3 + 4*i**2 + 4*i - 4. Let c = 24 + -28. Let h(g) = c*j(g) + 2*d(g). Factor h(n).
-4*(n - 2)*(n - 1)*(n + 1)
Let g(b) be the first derivative of b**7/357 - 2*b**6/255 + b**4/51 - b**3/51 - 4*b - 8. Let h(v) be the first derivative of g(v). Suppose h(y) = 0. What is y?
-1, 0, 1
Let q be ((-12)/(-16))/(2/(-8)). Let y = 0 - q. Factor -2*x + 0*x + 3*x**2 + 6*x**2 - 3*x**3 + y - 7*x.
-3*(x - 1)**3
Let h be 8/14*(-42)/(-12). Factor -5*c**3 + c + h*c**3 + 2*c**3.
-c*(c - 1)*(c + 1)
Let h(u) be the first derivative of -2*u**6 - 8*u**5/5 + 3*u**4 + 8*u**3/3 - 6. Solve h(b) = 0 for b.
-1, -2/3, 0, 1
Let m = 6 + -6. Find u, given that -2*u**4 - 3*u**5 + 0*u**2 + m - 1/3*u**3 + 0*u = 0.
-1/3, 0
Factor 116 - 4*c**2 - 36 + 40*c + 9*c**2.
5*(c + 4)**2
Let s(p) be the first derivative of 0*p + 2/35*p**5 + 0*p**2 - 1/14*p**4 - 3 + 0*p**3. Determine r, given that s(r) = 0.
0, 1
Let o(t) = -5*t + 54. Let d be o(10). Factor 1/2*z**5 + z**d + 0 + 0*z**2 + 0*z + 1/2*z**3.
z**3*(z + 1)**2/2
Let b(j) = 3*j**4 + j**3 + 2. Let z(y) = -13*y**4 - 5*y**3 - 9. Let x(i) = 9*b(i) + 2*z(i). Suppose x(r) = 0. Calculate r.
0, 1
Let v = 10 - 2. Let w(y) be the first derivative of -v*y**2 - 19/4*y**4 - 25/3*y**3 - 1 - 4*y - 7/5*y**5 - 1/6*y**6. Solve w(f) = 0 for f.
-2, -1
Let s be 1/(-4) + (-144)/(-320). Factor 2/5*o - s*o**2 - 1/5.
-(o - 1)**2/5
Let r(z) = z**4 - z**3. Let a(t) = 12*t**4 - 20*t**3 + 12*t**2 + 4*t - 8. Let d(k) = a(k) - 16*r(k). Factor d(y).
-4*(y - 1)**2*(y + 1)*(y + 2)
Let -4*r - 6*r**2 - 1 - 3*r - 4*r**4 - 7*r**3 - 9*r**2 - 6*r**3 = 0. Calculate r.
-1, -1/4
Let i be ((-9)/3 - -4)*6. Let l(z) = -24*z**2 + 28*z - 10. Let f(p) = -71*p**2 + 83*p - 29. Let y(x) = i*f(x) - 17*l(x). Suppose y(q) = 0. Calculate q.
2/9, 1
Let r(d) be the first derivative of d**8/840 + d**7/420 - d**6/180 - d**5/60 - d**3/3 + 2. Let w(a) be the third derivative of r(a). Factor w(p).
2*p*(p - 1)*(p + 1)**2
Factor -77 - 60*n + 3*n**4 + 102 - 12*n**3 - 2*n**4 + 46*n**2.
(n - 5)**2*(n - 1)**2
Suppose 2 - 15*j**4 - 57*j**3 - 2 - 12*j - 12*j**2 + 96*j**3 = 0. Calculate j.
-2/5, 0, 1, 2
Let -3/5*y**2 + 1/5*y**5 - 2/5*y + 1/5*y**3 + 0 + 3/5*y**4 = 0. Calculate y.
-2, -1, 0, 1
Let o = -4 - -7. Suppose -o*p + 9 = -r, 3*p - p - 6 = 0. Factor -1/5*y**3 + 1/5*y**2 + r + 1/5*y - 1/5*y**4.
-y*(y - 1)*(y + 1)**2/5
Factor -11 - 6*d**2 + 21 - 4*d**2 + 5*d - 5*d**3.
-5*(d - 1)*(d + 1)*(d + 2)
Let v(d) be the second derivative of -d**5/10 - d**4/6 + d**3/3 + d**2 + 7*d. Suppose v(j) = 0. What is j?
-1, 1
Factor 29*r - 2*r**3 + 28*r + 12*r**2 - 66*r - r**3.
-3*r*(r - 3)*(r - 1)
Let p(a) be the second derivative of 0 + 7/15*a**6 - 1/2*a**5 - a + 0*a**3 - 1/3*a**4 + 0*a**2. Factor p(m).
2*m**2*(m - 1)*(7*m + 2)
Let q = -152 + 761/5. Factor -2/5*p**3 + 2/5*p**2 - 1/5*p**5 + 3/5*p - 3/5*p**4 + q.
-(p - 1)*(p + 1)**4/5
Let q be (9/(-81))/((-14)/12 + 1). Let f = -7 - -11. Factor -2/3*m**5 - q*m - 4*m**3 + 0 - 8/3*m**f - 8/3*m**2.
-2*m*(m + 1)**4/3
Suppose 0 = 4*j + j - 10. What is c in 0*c + 0*c + 0*c**4 - 3*c**4 - c**j + 4*c**3 = 0?
0, 1/3, 1
Let d = -5 - -7. Suppose d*v + 14 = 3*n, -2*n - 3*v = -6*n + 19. Find x, given that 36*x**2 - 2*x**4 + n*x**3 + 16 + 4*x**4 + 10*x**3 + 16*x + 24*x = 0.
-2, -1
Let r(j) = 9*j**3 - 9*j**2 - 9*j - 15. Let u(h) = 2*h**3 - 2*h**2 - 2*h - 3. Let k(f) = 5*r(f) - 24*u(f). Factor k(o).
-3*(o - 1)**2*(o + 1)
Let n be (-5 + (-103)/(-9))*3. Let n*l**3 - 3*l + 32*l**4 + 32/3*l**5 - 17/3*l**2 + 2/3 = 0. What is l?
-2, -1, -1/2, 1/4
Let k(t) be the second derivative of 1/14*t**3 + 0*t**2 + 6*t + 1/28*t**4 + 0. Factor k(w).
3*w*(w + 1)/7
Suppose 5*h - o - 5 = 0, 4*h - 2*o - 13 = -3*o. What is d in 8*d + 3*d**h + 8 - 4*d**2 + 3*d**2 = 0?
-2
Let m(j) = -j**3 + 5*j**2. Let f be m(5). Let i be 1*-9*2/(-6). Determine d so that d**i - d + 1/2*d**4 - 1/2 + f*d**2 = 0.
-1, 1
Let z(d) be the second derivative of d**8/840 + d**7/140 + d**6/60 + d**5/60 - d**3/3 - 2*d. Let b(l) be the second derivative of z(l). Factor b(a).
2*a*(a + 1)**3
Let k(r) be the first derivative of 5*r**3/3 - 20*r**2 + 35*r + 11. Factor k(h).
5*(h - 7)*(h - 1)
Let n = -129 - -388/3. Suppose -1/2*u**2 + 0 - 1/6*u**3 - n*u = 0. Calculate u.
-2, -1, 0
Let h(j) be the first derivati