87 + -4/29. Factor 0 - 1/3*x**4 + 0*x + 0*x**3 + v*x**2.
-x**2*(x - 1)*(x + 1)/3
Suppose 0 = 2*b - 7*b + i - 110, -2*i - 10 = 0. Let g = -20 - b. Let 2/3*w - 4/3*w**2 + 4/3 - 2/3*w**g = 0. Calculate w.
-2, -1, 1
Let u = -80 + 82. Determine v, given that -1/2*v**u + 1/2*v + 0 = 0.
0, 1
Determine l, given that 42*l**3 - 75*l**2 + 61*l**4 + 8*l**3 - 125*l - 5*l**3 - 66*l**4 = 0.
-1, 0, 5
Let q(k) be the third derivative of k**8/20160 + k**7/7560 + k**4/24 - 2*k**2. Let s(z) be the second derivative of q(z). What is i in s(i) = 0?
-1, 0
Let f = -97/2 - -49. Factor -1/2*o**4 + 0*o**2 + 0*o + f*o**3 + 0.
-o**3*(o - 1)/2
Suppose 5*j + 11 = -2*g, -4*g + 10 = 5*j - 9*g. Let m = j - -4. Factor 0 + 1 - 6*p**2 - 9 - p**m - 12*p.
-(p + 2)**3
Let a(r) = -r + 7. Let x be a(8). Let c be 5*(-2)/8*x. Factor -1/2 + c*p**2 + 1/4*p + 1/2*p**3.
(p + 1)*(p + 2)*(2*p - 1)/4
Factor 1/3*u**3 - 1/3*u**2 + 1/3 - 1/3*u.
(u - 1)**2*(u + 1)/3
Let o be 10 + -6 + -2*(-5)/(-4). Factor 0 + 3/2*j**3 + 3/2*j**4 + 0*j - 3/2*j**2 - o*j**5.
-3*j**2*(j - 1)**2*(j + 1)/2
Let w(g) be the first derivative of 5 + 1/4*g**4 - 3/8*g**2 - 1/24*g**6 + 0*g**5 + 1/2*g - 1/6*g**3. Solve w(r) = 0 for r.
-2, -1, 1
Suppose 0 = -10*g + 7*g + 6. Let 2*j + 2 + 2 - 4*j**2 + 2*j**g = 0. Calculate j.
-1, 2
Let z(u) be the first derivative of 1/4*u**4 + 1 + 0*u**3 + 1/2*u**2 + u - 1/5*u**5. Let f(r) = -3*r**4 + 4*r + 3. Let p(a) = -f(a) + 2*z(a). Factor p(l).
(l - 1)*(l + 1)**3
Let u be (-4)/10 + 4*(-114)/(-960). Let o(j) be the second derivative of u*j**6 + j + 1/56*j**7 + 9/80*j**5 + 0 + 1/16*j**4 + 0*j**3 + 0*j**2. Factor o(k).
3*k**2*(k + 1)**3/4
Let x be (-15)/10*16/(-3). Let t = -6 + x. Factor 10*m**2 + 3*m + t*m + 0*m - m.
2*m*(5*m + 2)
Let l(h) be the first derivative of 8*h - 4*h**2 - 5 + 2/3*h**3. Factor l(f).
2*(f - 2)**2
Let d be 10/(-25) + 3/(-5). Let w(l) = -2*l**3 - l - 1. Let f be w(d). Factor 2/3*u + 0 + 1/3*u**f.
u*(u + 2)/3
Suppose -311 = o - 314. Let -2/3 + 2*r**4 - 4/3*r**2 + 2/3*r**5 - 2*r + 4/3*r**o = 0. Calculate r.
-1, 1
Factor 2/19*w + 8/19*w**4 + 18/19*w**3 + 0 + 12/19*w**2.
2*w*(w + 1)**2*(4*w + 1)/19
Let d(f) be the first derivative of f**7/195 + f**6/390 - 7*f**2/2 + 9. Let g(w) be the second derivative of d(w). Factor g(h).
2*h**3*(7*h + 2)/13
Determine z so that 1/2*z**4 - z**2 + 0*z**3 + 1/2 + 0*z = 0.
-1, 1
Factor 16/13 - 4/13*c**2 - 2/13*c**3 + 8/13*c.
-2*(c - 2)*(c + 2)**2/13
Let x = 5 + 6. Find l, given that -2*l**2 - x*l + 11*l = 0.
0
Let p = 69 - 69. Find g such that 0*g**2 - 2/7*g**3 + 0*g + p = 0.
0
Let k(h) = -5*h**4 - h**3 - 4*h**2 - 2*h**5 + 4*h**2 - 2*h**3. Let b(c) = -2*c**5 - 4*c**4 - 2*c**3. Let o(w) = 5*b(w) - 4*k(w). Solve o(n) = 0 for n.
-1, 0, 1
Suppose 2*b - 63 = d, -58 = -3*b + 2*d + 37. Suppose -3*k = -b + 10. Suppose -l + l**4 - 8*l**2 + l**3 + 0*l**3 + k*l**2 = 0. What is l?
-1, 0, 1
Let -3 + 3/2*f**3 + 0*f**2 - 9/2*f = 0. Calculate f.
-1, 2
Let z(o) be the first derivative of -16/17*o - 81/34*o**4 - 54/85*o**5 - 60/17*o**3 + 5 - 44/17*o**2. Solve z(c) = 0.
-1, -2/3
Let p(v) be the second derivative of -8*v - 1/10*v**6 + 3/20*v**5 + 0*v**2 - 1/14*v**7 + 0 + 0*v**3 + 1/4*v**4. Determine j, given that p(j) = 0.
-1, 0, 1
Let p(a) be the third derivative of -a**10/252000 + a**9/50400 - a**8/33600 + a**5/15 - a**2. Let i(c) be the third derivative of p(c). Factor i(d).
-3*d**2*(d - 1)**2/5
Let u be 12/42 - 52/(-14). Find z such that 3/5*z + 9/5*z**3 + 0 + 3/5*z**u + 9/5*z**2 = 0.
-1, 0
Let j(a) = a**2 + 1. Let y(s) = s**2 + 8*s + 5. Let k(v) = 5*j(v) - y(v). Factor k(h).
4*h*(h - 2)
Let w = -323/4 + 81. Factor -1/2 + w*l**2 + 1/4*l.
(l - 1)*(l + 2)/4
Let f(u) = -u**2 + 2*u + 3. Let o(p) = -p - 1. Suppose -7*w - 4*l - 44 = -3*w, 3*l = -15. Let s(g) = w*o(g) - 3*f(g). Find t, given that s(t) = 0.
-1, 1
Let y(k) be the second derivative of k**6/90 - k**5/120 + k**3 - 3*k. Let z(r) be the second derivative of y(r). Factor z(o).
o*(4*o - 1)
Suppose 0*s = 2*s - 16. Factor 12*k**3 - 11*k - 8*k + 0 - s*k**2 + 7*k + 10*k**4 - 2.
2*(k - 1)*(k + 1)**2*(5*k + 1)
Let a = -120/11 + 1102/99. Let n = 4 + -1. Factor -2/3*r**n + 0 - a*r - 2/3*r**2 - 2/9*r**4.
-2*r*(r + 1)**3/9
Let r(d) be the third derivative of -d**8/336 + d**7/210 + d**6/60 - d**5/30 - d**4/24 + d**3/6 - 7*d**2. Factor r(x).
-(x - 1)**3*(x + 1)**2
Let j(y) = -y**5 + y**4 + y**3 - y**2 - y - 1. Let k be (2/2)/(1/4). Let s(o) = 4*o**3 - 4*o**2 + 8. Let x(c) = k*j(c) + s(c). Factor x(p).
-4*(p - 1)**3*(p + 1)**2
Let l(z) be the first derivative of -7 + 3/13*z**2 + 1/26*z**4 + 2/13*z + 2/13*z**3. Factor l(w).
2*(w + 1)**3/13
Let y(j) = -5*j**3 - 12*j**2 + 11*j + 11. Let i(c) = 2*c**3 + 4*c**2 - 4*c - 4. Let o be 4/(4/(-8)*2). Let v(l) = o*y(l) - 11*i(l). Factor v(d).
-2*d**2*(d - 2)
Suppose -2*v = -9*v. Let g(j) be the second derivative of v + 2*j - 1/30*j**3 + 0*j**2 - 1/60*j**4. Find w, given that g(w) = 0.
-1, 0
Suppose 3*q - 68 = -5*p, -p + 5*p = q - 17. Let f be 22/33 + 4/q. What is b in f*b + 16/7*b**2 - 4/7 - 10/7*b**5 + 36/7*b**4 - 44/7*b**3 = 0?
-2/5, 1
Let q(n) = n**2 - n + 1. Let f be -33*(-1 + (-5)/(-3)). Let l(r) = 5*r**2 - 21*r + 15. Let b(c) = f*q(c) + 2*l(c). Factor b(g).
-4*(g + 2)*(3*g - 1)
Let r(l) be the first derivative of l**4/12 - l**2/2 + 3*l + 3. Let a(m) be the first derivative of r(m). Solve a(g) = 0.
-1, 1
Factor -4/5*t**3 + 0*t + 0*t**2 - 12/5*t**4 + 0 - 8/5*t**5.
-4*t**3*(t + 1)*(2*t + 1)/5
Let o = -23 + 25. Factor 0 - 1/3*b - 1/6*b**o + 1/6*b**3.
b*(b - 2)*(b + 1)/6
Let p = 5 - -3. Let i = -4 + p. What is u in 6*u**5 + 2*u**5 - 2*u + 18*u**3 + 14*u**4 - 36*u**i - 2*u**2 + 0*u = 0?
-1/4, 0, 1
Let q(p) = p**3 - 3*p**2 + 3. Let o be q(3). Factor -2*m**o - 8*m - 2 + 5*m**2 - 3*m**2 + 10*m.
-2*(m - 1)**2*(m + 1)
Let b(q) = -q. Let o(h) = -h**2 - 5*h - 2*h + 0*h**2. Let f(z) = -6*b(z) + o(z). Let f(s) = 0. Calculate s.
-1, 0
Let k(o) be the first derivative of -3/2*o**3 - 3*o - 8 + 3/8*o**4 - 15/4*o**2 + 3/10*o**5. Factor k(f).
3*(f - 2)*(f + 1)**3/2
Let z(m) be the second derivative of -m**5/25 + 2*m**3/5 + 4*m**2/5 + 14*m. Factor z(r).
-4*(r - 2)*(r + 1)**2/5
Let w(t) be the first derivative of -t**6/12 + t**5/10 - 7. Suppose w(n) = 0. Calculate n.
0, 1
Find i, given that -6/13 - 2/13*i**3 + 10/13*i - 2/13*i**2 = 0.
-3, 1
Suppose -69 = -3*w + 5*o + 22, 0 = -2*w + o + 49. Let -w + s**3 - 2 - 36*s - 4*s**3 - 18*s**2 = 0. Calculate s.
-2
Let k be 42/4*(-8)/(-12). Suppose k*q = q. Determine b so that 0*b**3 + q + 2/3*b**4 - 1/3*b + 1/3*b**5 - 2/3*b**2 = 0.
-1, 0, 1
Let m(v) be the first derivative of -v**7/840 + v**6/160 - v**4/24 - 5*v**2/2 - 3. Let u(i) be the second derivative of m(i). Factor u(b).
-b*(b - 2)**2*(b + 1)/4
Let q be (4/6)/((-5)/(-15)). Let d be 20/(-30)*(-9)/q. Solve -2*s**d - 4/7 + 10/7*s**4 + 2*s - 6/7*s**2 = 0.
-1, 2/5, 1
Factor 22/9*h**2 - 2/3*h**4 - 2/9*h**3 + 2/9*h**5 - 8/3*h + 8/9.
2*(h - 2)*(h - 1)**3*(h + 2)/9
Let q = -14 - -21. Suppose q*i - 2*i - 2*d = 10, 0 = 2*d. Factor a**i + a + 3 + 2*a**2 - 7*a.
3*(a - 1)**2
Let s(d) = -d**2 - 10*d - 9. Let b be s(-8). Factor b*i - 6*i + 11*i**2 - 4*i - 2*i**2.
3*i*(3*i - 1)
Let r(p) = -4*p**5 + 6*p**3 + 2*p**2 - 4*p. Let i(w) = -w**4 + w. Let o(m) = 2*i(m) + r(m). Solve o(u) = 0.
-1, 0, 1/2, 1
Factor 25 + 0*v**2 + 13*v + v**2 - 3*v.
(v + 5)**2
Let r be (-118)/168 - (-12)/16. Let o(l) be the first derivative of 0*l - 4/35*l**5 + r*l**6 + 0*l**4 + 4/21*l**3 - 1/7*l**2 - 3. Solve o(z) = 0.
-1, 0, 1
Let m(v) = 13*v**2 + 18*v - 7. Let o(l) = 7*l**2 + 9*l - 4. Let t(n) = -4*m(n) + 7*o(n). Factor t(g).
-3*g*(g + 3)
Find q such that 6/5*q + 0 + 8/5*q**2 = 0.
-3/4, 0
Let v(q) = 5*q**2 - 9*q + 4. Let g(b) = -11*b**2 + 18*b - 7. Let f(w) = 2*g(w) + 5*v(w). Factor f(m).
3*(m - 2)*(m - 1)
Let j = 84 + -14. Let y be 208/j + (-44)/77. Let -12/5 - 3/5*f**2 + y*f = 0. What is f?
2
Suppose -95*k**2 - 3 + 98*k**2 + k**3 - k + 0*k = 0. Calculate k.
-3, -1, 1
Let u = 37 + -16. Let t = u - 17. Find g, given that 0*g**2 - 1/4*g**3 + 0*g + 0 - 1/4*g**t = 0.
-1, 0
Let u(t) be the first derivative of -5*t**4/4 + 5*t**3/3 + 5*t**2/2 - 5*t - 24. Factor u(o).
-5*(o - 1)**2*(o + 1)
Let z be ((-5 - -5)/2)/(-1). Factor 2/5*s + z + 4/5*s**2 + 2/5*s**3.
2*s*(s + 1)**2/5
Let j(h) be the third derivative of -121*h**6/200 - 77*h**5/100 + h**4 - 2*h