z*(z - 1)**2*(z + 1)
Suppose 6*q - 2*q - 16 = y, -4*q = -5*y - 16. Let d(k) be the first derivative of 4/9*k**3 + 0*k - 1 + y*k**2 + 5/6*k**4. Factor d(a).
2*a**2*(5*a + 2)/3
Let k(a) be the second derivative of -1/2*a**2 + 0 + 1/40*a**5 + 1/12*a**4 + a - 1/12*a**3. What is f in k(f) = 0?
-2, -1, 1
Suppose -2*c + 17*h = 12*h + 15, -4*c - 4*h + 12 = 0. Let f be (-2)/(0 + 0 - 5). Factor -2/5*w**2 + f + c*w.
-2*(w - 1)*(w + 1)/5
Suppose -2*y + 3*p - 4*p + 13 = 0, -p = 5. Suppose 3*t + 0*t - y = 0. Factor 1/2*u**2 + 1/2*u**t - 1/2*u - 1/2*u**4 + 0.
-u*(u - 1)**2*(u + 1)/2
Let i be (-2)/(-4) - 2/4. Suppose 5*z - 1 - 9 = i. Let z - 2*l - 1 + 4*l + l**2 = 0. What is l?
-1
Let g(x) be the second derivative of 0*x**2 + 0*x**4 + 0 - 5*x - 1/18*x**3 + 1/60*x**5. Determine f, given that g(f) = 0.
-1, 0, 1
Let j = 6 - 1. Factor -w**2 - 2 - w - 2 + j*w.
-(w - 2)**2
Let m(q) be the second derivative of q**5/200 + q**4/24 - 13*q**3/60 + 7*q**2/20 - 4*q. Factor m(o).
(o - 1)**2*(o + 7)/10
Solve -48/5*x**2 - 16/5*x**4 + 0 - 2/5*x**5 - 18/5*x - 44/5*x**3 = 0 for x.
-3, -1, 0
Let w(z) be the third derivative of z**5/480 - z**3/12 + 9*z**2. Factor w(m).
(m - 2)*(m + 2)/8
Let d be 6/18*(-1 + 1). Let x(q) be the second derivative of -1/6*q**4 - 2*q + 1/10*q**5 + d*q**2 + 0*q**3 + 0. Factor x(w).
2*w**2*(w - 1)
Let w(a) = -153*a**4 + 311*a**3 - 208*a**2 + 32*a. Let d(v) = -38*v**4 + 78*v**3 - 52*v**2 + 8*v. Let i(f) = 9*d(f) - 2*w(f). Factor i(b).
-4*b*(b - 1)**2*(9*b - 2)
Let y = -254/5 + 51. Let c(d) be the second derivative of -1/3*d**3 + d**2 - 1/21*d**7 + 1/15*d**6 + d + 0 - 1/3*d**4 + y*d**5. Factor c(p).
-2*(p - 1)**3*(p + 1)**2
Find h such that 0*h**2 - 12*h**4 - 4*h + 12*h**2 + 8*h**3 - 3*h - h = 0.
-1, 0, 2/3, 1
Suppose -3*q = -2*d + 2 + 4, 0 = 5*d + 3*q - 57. Suppose -2*g - 2*g = -3*m - d, 3*m = -4*g - 9. Let l + 3/2*l**3 + 7/2*l**2 + g = 0. Calculate l.
-2, -1/3, 0
Let u(l) be the first derivative of l**4/4 + l**3/3 + 21. Find w, given that u(w) = 0.
-1, 0
Let t(u) be the third derivative of -u**8/1008 - 2*u**7/315 - u**6/120 - 64*u**2. Find z, given that t(z) = 0.
-3, -1, 0
Let k(l) be the third derivative of -l**8/336 - l**7/70 - l**6/40 - l**5/60 - l**3/6 + l**2. Let t(y) be the first derivative of k(y). Factor t(j).
-j*(j + 1)**2*(5*j + 2)
What is f in 4/5*f - 2*f**4 - 3/5*f**3 + 0 - 3/5*f**5 + 12/5*f**2 = 0?
-2, -1/3, 0, 1
Suppose 20*g = 16*g + 12. Suppose -5*b = -g*u - 1, 0*u - 2 = -2*u + 2*b. Factor 0 + h**u - 1/2*h**5 + 0*h**4 + 0*h**2 - 1/2*h.
-h*(h - 1)**2*(h + 1)**2/2
Factor 12*k**5 + k + 2*k**3 - 2*k - 26*k**5 + 13*k**5.
-k*(k - 1)**2*(k + 1)**2
Let h(w) be the first derivative of -7*w**4/4 + 2*w**3/3 - 8. Determine j, given that h(j) = 0.
0, 2/7
Let b = 77 - 73. Let w(g) be the third derivative of -g**2 + 0 - 1/240*g**5 + 1/12*g**3 + 1/96*g**b + 0*g. What is i in w(i) = 0?
-1, 2
Suppose -2*t + 3 = 5*f + 2, 0 = -2*t - 4*f + 2. Suppose -2/3*k**t + 0*k - 2/3*k**2 + 0 = 0. Calculate k.
-1, 0
Let w(n) be the third derivative of -n**7/2100 - n**6/450 - n**3/3 + 5*n**2. Let h(f) be the first derivative of w(f). Factor h(o).
-2*o**2*(o + 2)/5
Let b(x) = 11*x**2 + 7*x + 12. Let c(k) = -k**2 - k - 1. Let j(o) = -b(o) - 6*c(o). Let n(f) = f**2 + f + 1. Let y(q) = j(q) + 4*n(q). Factor y(i).
-(i - 2)*(i - 1)
Let b(r) = r**2 - 1. Let h(s) = -15*s**2 + 3*s + 18. Let u = -3 + 2. Let c(t) = u*h(t) - 12*b(t). Factor c(k).
3*(k - 2)*(k + 1)
Let -588*r**4 + 16 + 60*r + 572*r**2 - 228*r - 667*r**3 + 149*r**3 + 686*r**5 = 0. Calculate r.
-1, 2/7, 1
Let n(d) = d**4 + d**3 + d**2 + d + 1. Let k(h) = -4*h**4 - 7*h**3 - 5*h**2 - 3*h - 6. Let q(v) = 3*k(v) + 15*n(v). Factor q(f).
3*(f - 1)**3*(f + 1)
Let p be 6/(-15) + 318/(-105) + 4. What is f in 0 - p*f + 2/7*f**2 = 0?
0, 2
Let o be 2 - (638/(-8) - -1). Let y = o - 80. Solve y*d**2 + 1/4*d**3 + 3/4*d + 1/4 = 0 for d.
-1
Let b be (-336)/(-18) - 3/(-9). Suppose -4*s + 4*f - 8 = -0*s, -5*f + b = -2*s. Solve 10/9*y**s + 0 + 4/9*y**2 + 0*y = 0.
-2/5, 0
Let v(l) be the first derivative of l**9/1512 - l**8/840 - l**7/420 + l**6/180 + l**3/3 - 1. Let j(s) be the third derivative of v(s). Factor j(n).
2*n**2*(n - 1)**2*(n + 1)
Let i(t) be the first derivative of 0*t**4 - 3*t - 2 - 3/5*t**5 + 0*t**2 + 2*t**3. Suppose i(o) = 0. What is o?
-1, 1
Let y be (-6)/(-3)*(-4)/1. Let t be (-10)/(-4)*y/(-80). Let 0 + 1/4*o**2 + t*o = 0. What is o?
-1, 0
Let m = 144 - 8639/60. Let w(t) be the third derivative of -1/30*t**5 + 0 + 1/210*t**7 - m*t**6 + 0*t + 1/6*t**3 - t**2 + 1/24*t**4 + 1/336*t**8. Factor w(p).
(p - 1)**2*(p + 1)**3
Let u(p) be the third derivative of 0 - 1/48*p**4 - 1/120*p**5 + 0*p - 2*p**2 + 1/12*p**3 + 1/240*p**6. What is x in u(x) = 0?
-1, 1
Let d(a) be the third derivative of -a**5/105 + a**4/21 + 2*a**3/7 - 9*a**2. Factor d(q).
-4*(q - 3)*(q + 1)/7
Suppose 5*i - 2 = x + 4, 0 = 3*i - 4*x + 10. Find u, given that 0*u**i + 5*u**2 - 6*u**2 + 0*u**2 + 2*u = 0.
0, 2
Let p(t) be the second derivative of t**7/84 - t**5/10 - t**4/12 + t**3/4 + t**2/2 - 3*t. Factor p(s).
(s - 2)*(s - 1)*(s + 1)**3/2
Let x = 3/113 - -553/452. Suppose -3*z + 10 = 1. Factor -x*j**2 - 1/4 - j - 1/2*j**z.
-(j + 1)**2*(2*j + 1)/4
Let b(o) = -12*o**5 - 23*o**4 - 5*o**3 - 3*o**2 + 3*o. Let s(q) = -12*q**5 - 22*q**4 - 6*q**3 - 2*q**2 + 2*q. Let n(x) = -2*b(x) + 3*s(x). Factor n(j).
-4*j**3*(j + 1)*(3*j + 2)
Factor 2/3*h + 4*h**2 + 0.
2*h*(6*h + 1)/3
Let o(w) be the second derivative of 3*w**5/20 - w**4/2 - w**3/2 + 3*w**2 + 31*w. Let o(l) = 0. What is l?
-1, 1, 2
Let n be (-18)/(-6)*6/4. Factor 7/2*h**2 + 1 + n*h.
(h + 1)*(7*h + 2)/2
Let x(u) = -u**2 + u + 4. Let q(r) = -r**2 - 1. Let t(l) = -4*q(l) - x(l). Let m be t(1). Factor -6/5*z**m + 8/5*z**5 + 0 + 0*z**2 + 0*z - 2/5*z**3.
2*z**3*(z - 1)*(4*z + 1)/5
Let n(s) be the second derivative of -s**5/50 + s**4/5 - 4*s**3/5 + 8*s**2/5 - s + 4. Factor n(d).
-2*(d - 2)**3/5
Let z = 1/9 + 25/18. Suppose -4*x + 5*f - 8 = 2*f, 0 = -3*x + 3*f - 9. Factor z*d - x - 1/2*d**2.
-(d - 2)*(d - 1)/2
Let b(t) = 4*t**2 - 1. Let f(d) = 9*d**2 - 2. Let k be ((-25)/(-20))/(1/4). Suppose 8 = k*j + 38. Let g(a) = j*f(a) + 14*b(a). Let g(w) = 0. Calculate w.
-1, 1
Let r(p) be the second derivative of p**8/26880 - p**7/5040 + p**6/2880 - p**4/12 - 3*p. Let t(q) be the third derivative of r(q). Suppose t(a) = 0. What is a?
0, 1
Factor 3 - 11 + 8 - 4*o**2.
-4*o**2
Factor -2*u + 3*u - u + u**3 - 2*u**2 + u.
u*(u - 1)**2
Let b = 361/18 + -20. Let l(x) be the second derivative of b*x**4 + x + 0*x**2 + 1/10*x**5 + 0 + 1/63*x**7 + 1/15*x**6 + 0*x**3. Find t, given that l(t) = 0.
-1, 0
Let a(n) be the first derivative of -5*n**6/6 + 15*n**4/4 - 10*n**3/3 + 10. Factor a(t).
-5*t**2*(t - 1)**2*(t + 2)
Let i be 84/9 + -8 - (-26)/(-24). Solve -3/4*g**3 + g - g**2 + 1/2*g**4 + i*g**5 + 0 = 0.
-2, 0, 1
Let h(g) = -g**3 - 4*g**2 + 3*g. Let n be h(-5). Suppose 3*t = -5*b - 2*t + n, 5*b = -3*t + 12. Solve -1 - 3*a**3 - 2*a**2 + 5*a**b + 1 = 0.
0, 1
Let u(j) be the second derivative of 25*j**7/42 - 26*j**6/9 + 347*j**5/60 - 37*j**4/6 + 34*j**3/9 - 4*j**2/3 + 10*j. Determine z, given that u(z) = 0.
2/5, 2/3, 1
Let n(k) be the third derivative of 0*k - 1/720*k**6 - 1/12*k**3 + 0 + 5/144*k**4 - k**2 - 1/360*k**5. Factor n(y).
-(y - 1)**2*(y + 3)/6
Let x(w) be the first derivative of 4/9*w**3 + 0*w**2 - 3/2*w**4 - 5/9*w**6 + 8/5*w**5 + 0*w - 1. Factor x(u).
-2*u**2*(u - 1)**2*(5*u - 2)/3
Let p(s) be the first derivative of -3*s**4/20 + s**3/5 + 3*s**2/10 - 3*s/5 + 3. Factor p(c).
-3*(c - 1)**2*(c + 1)/5
Let f = 1 - -2. Factor 5*t**2 - t**f + t**2 - 5*t**2 + 0*t**2 - 1 + t.
-(t - 1)**2*(t + 1)
Let y(c) = -266*c**4 - 200*c**3 - 56*c**2 + 16*c. Let a(v) = 53*v**4 + 40*v**3 + 11*v**2 - 3*v. Let w = 6 - 3. Let o(s) = w*y(s) + 16*a(s). Factor o(j).
2*j**2*(5*j + 2)**2
Suppose y - 19 = -4*s, -s - 5*y + 5 = 4*s. Suppose s + 0 = 3*r. Factor 2*c**2 - 2*c**3 - c**4 - c**4 + r*c**5 + 0*c**4.
2*c**2*(c - 1)**2*(c + 1)
Let b(r) = 17*r**4 + 17*r**3 + 8*r**2 - 8*r + 8. Let h(m) = -6*m**4 - 6*m**3 - 3*m**2 + 3*m - 3. Let j(y) = 3*b(y) + 8*h(y). Let j(a) = 0. Calculate a.
-1, 0
Find o, given that 0*o - 1/4*o**4 + 0 + 1/2*o**3 - 1/4*o**2 = 0.
0, 1
Suppose -300 - 5*c**2 - 14*c - 86*c - 365 + 165 = 0. What is c?
-10
Let h(z) be the third derivative of -4*z**2 - 