4*z**3 - 4*z + 9. Let d(v) = v**4 - 1. Let o(i) = 22*d(i) + 2*r(i). Determine u so that o(u) = 0.
-1, 1
Let d(m) be the third derivative of 2/15*m**5 + 0*m + m**2 + 0 + 1/504*m**8 + 0*m**3 + 1/9*m**4 + 13/180*m**6 + 2/105*m**7. Let d(r) = 0. Calculate r.
-2, -1, 0
Let b(v) be the first derivative of v**4/14 - 3*v**2/7 - 4*v/7 - 17. Factor b(g).
2*(g - 2)*(g + 1)**2/7
Let j(x) = 6*x**3 - 3*x. Let h(a) = a**3 - a. Let g be (-34)/(-10) - 4/10. Let y(w) = g*h(w) - j(w). Factor y(u).
-3*u**3
Let d(b) be the first derivative of b**7/1680 - b**6/180 + b**5/48 - b**4/24 - 2*b**3/3 + 4. Let h(u) be the third derivative of d(u). Solve h(c) = 0 for c.
1, 2
Suppose -5*x = -0*r + 2*r + 19, -2*r + 3*x + 21 = 0. What is g in -2 + r*g + 4 + g - 3*g**2 - 3 = 0?
1/3, 1
Let z(s) be the first derivative of 0*s**2 - 3/16*s**4 + 1/4*s**3 + 1 + 0*s. What is c in z(c) = 0?
0, 1
Let x(n) be the first derivative of 1/20*n**5 + 1/16*n**4 + 0*n + 2 - 1/12*n**3 - 1/8*n**2. Determine t, given that x(t) = 0.
-1, 0, 1
Let 160/3*w**4 - 82*w**2 + 80/3*w + 176/3*w**3 - 8/3 = 0. What is w?
-2, 1/4, 2/5
Let j(n) be the first derivative of n**4/4 + 5*n**3/3 + 2*n - 2. Let v be j(-5). Factor -18*a - 2 - 8*a**2 + 10*a**4 + 0*a**v + 6*a + 12*a**3.
2*(a - 1)*(a + 1)**2*(5*a + 1)
Factor -4 + 14/3*q**3 + 2/3*q**4 + 10/3*q**2 - 14/3*q.
2*(q - 1)*(q + 1)**2*(q + 6)/3
Let a = -57/2 + 29. Factor 0 + a*v + 1/4*v**2 - 1/4*v**3.
-v*(v - 2)*(v + 1)/4
Let o(a) = -65*a - 63. Let n be o(-1). Factor -3/5*s + 0 - 3/5*s**n.
-3*s*(s + 1)/5
Let 18/7*d - 10/7 - 2/7*d**3 - 6/7*d**2 = 0. What is d?
-5, 1
Suppose 16 = 16*k - 8*k. Factor -1 + g**k - 1/2*g + 1/2*g**3.
(g - 1)*(g + 1)*(g + 2)/2
Let k(t) = t**4 - t - 1. Let g(l) = l**4 - 8*l**3 - 12*l**2 - 11*l - 5. Let r be 0 + 0 + 2 + 1. Let p(y) = r*k(y) - g(y). Factor p(h).
2*(h + 1)**4
Let p be ((-40)/(-975))/(4/(-138)). Let s = -8/13 - p. Factor 2/5*g**4 + 0*g + 0*g**3 - s*g**2 + 2/5.
2*(g - 1)**2*(g + 1)**2/5
Let w(d) be the second derivative of -d**7/147 - 2*d**6/105 + d**5/35 + 2*d**4/21 - d**3/21 - 2*d**2/7 + 3*d - 7. Let w(m) = 0. What is m?
-2, -1, 1
Factor 0 - 5/6*f**2 - 2/3*f**3 - 1/3*f - 1/6*f**4.
-f*(f + 1)**2*(f + 2)/6
Let y be (-40)/(-30)*(-1)/(-12)*6. Factor 2/3*a**4 - 4/3 + 10/3*a - 2*a**2 - y*a**3.
2*(a - 1)**3*(a + 2)/3
Let r = 66 - 63. Let g(u) be the first derivative of 2 - 2/3*u**r + 0*u**2 + 0*u - 2/5*u**5 + u**4. Factor g(x).
-2*x**2*(x - 1)**2
Let s(y) be the second derivative of 11*y**6/180 - y**5/45 - 11*y**4/36 + 2*y**3/9 - 3*y**2/2 + y. Let c(p) be the first derivative of s(p). Factor c(m).
2*(m - 1)*(m + 1)*(11*m - 2)/3
Let r be 1/((-3)/6)*-1. Suppose r = 2*u - u. Factor 50*w**4 - 24*w + 60*w**3 - w**2 - 21*w**2 + 8 + 0*w**u.
2*(w + 1)**2*(5*w - 2)**2
Let c(m) = -10*m**2 + 7*m - 4. Suppose 0 = -4*w - 0*w - 28. Let l(v) = 7*v**2 - 5*v + 3. Let r(h) = w*l(h) - 5*c(h). Suppose r(j) = 0. Calculate j.
-1, 1
Suppose 6*y - 16 = 2*y. Factor -z + z - z**4 - 3*z**3 + y*z**4.
3*z**3*(z - 1)
Let b(c) be the third derivative of c**6/40 - c**4/8 + 4*c**2. Solve b(u) = 0 for u.
-1, 0, 1
Let m = 23 - 21. Suppose -17 = -5*k - m. Let -2/5*c - 2/5*c**k - 4/5*c**2 + 0 = 0. What is c?
-1, 0
Let l(z) = -z**5 + z**4 + z**3 - z**2 - z - 1. Let r(v) = 4*v**5 - 10*v**4 - 11*v**3 + 9*v**2 + 13*v + 5. Let g(m) = -5*l(m) - r(m). Factor g(j).
j*(j - 1)*(j + 2)**3
Let n(f) = -f + 7. Let v be n(5). Suppose -h + 2*h = v. Factor -b**2 - b**h + b + 0*b**2 + 4 - 3*b.
-2*(b - 1)*(b + 2)
Factor 0 + 1/2*l**2 + 0*l.
l**2/2
Determine l so that 0 - 3/2*l + l**4 - 3/2*l**3 - 4*l**2 = 0.
-1, -1/2, 0, 3
Factor 1/3*c**3 - 4/3*c - 4/3 + 1/3*c**2.
(c - 2)*(c + 1)*(c + 2)/3
Solve -1/3*p**2 + 1/3*p**3 + 0 + 0*p = 0.
0, 1
Let p be (-1649)/(-119) + (-45)/(-21) + -2. Factor -8/7 - 8*b - p*b**2.
-2*(7*b + 2)**2/7
Let p(y) be the first derivative of 2*y**3/39 - y**2/13 + 2. Factor p(k).
2*k*(k - 1)/13
Let z(x) = 8*x. Let y be z(2). Let j = y - 16. Suppose 2*q**3 - q**2 - 9/4*q**5 + j*q + 0 + 3/4*q**4 = 0. What is q?
-1, 0, 2/3
Suppose 2*d - i = 6, -5*d - 3*i + 16 = -6*i. Let y(c) be the second derivative of 1/30*c**3 + 0 - c - 1/20*c**4 + 0*c**d. Let y(l) = 0. Calculate l.
0, 1/3
Let a be (-80)/44*-1 - 6/(-33). Solve -4/3*z**3 - 1/3 - 4/3*z - 1/3*z**4 - a*z**2 = 0.
-1
Let k(l) be the second derivative of l**5/20 - l**4/12 + 6*l. Solve k(i) = 0.
0, 1
Suppose -5/6*b**3 - 5/3*b**4 - 5/6*b**5 + 0*b + 0 + 0*b**2 = 0. Calculate b.
-1, 0
What is a in 1/2 - 1/6*a**5 + 11/3*a**2 - 13/6*a + 7/6*a**4 - 3*a**3 = 0?
1, 3
Let g be 8/30 + 2 + 56/(-30). Determine q so that 2*q - g + 12/5*q**2 = 0.
-1, 1/6
Let s(g) be the second derivative of 1/90*g**5 + 0 + 0*g**2 + 1/36*g**4 - 2*g + 1/540*g**6 + 1/2*g**3. Let k(o) be the second derivative of s(o). Factor k(l).
2*(l + 1)**2/3
Determine l so that 1/2 + 1/4*l - 1/4*l**2 = 0.
-1, 2
Let a(q) be the third derivative of 7*q**6/960 - q**5/240 + 4*q**2. Let a(u) = 0. Calculate u.
0, 2/7
Let d(b) be the third derivative of b**8/1440 + b**7/1260 + b**5/12 + b**2. Let x(f) be the third derivative of d(f). Factor x(a).
2*a*(7*a + 2)
Let c be (-2*2)/((-3)/12). Let i be 2 + 2/c*2. Factor -3/4*n**2 - 1/2 - n**3 + i*n.
-(n - 1)*(n + 2)*(4*n - 1)/4
Let u(k) be the first derivative of -k**4 + 12*k**3 - 49. Factor u(a).
-4*a**2*(a - 9)
Let p be (-1*1)/((-12)/24). Let u(l) be the second derivative of 0*l**4 - 3/40*l**5 - 2*l + 0 + 1/4*l**3 - 1/40*l**6 + 3/8*l**p. Solve u(g) = 0.
-1, 1
Let k(r) = r**4 + r**3 - r**2 + r - 1. Let a(b) = 4*b**5 - 6*b**4 - 14*b**3 + 22*b**2 - 10*b + 2. Let c(p) = a(p) + 2*k(p). Factor c(y).
4*y*(y - 1)**3*(y + 2)
Suppose 5*r + 14*a - 13*a = 17, -6 = 2*a. Let z = 5 + -5. Factor 0 + z*c**3 + 0*c - 2/5*c**r + 0*c**2.
-2*c**4/5
Determine a, given that -6/7*a**2 - 3/7*a**3 - 3/7*a + 0 = 0.
-1, 0
Let y(f) be the third derivative of -f**8/112 + f**7/70 + f**6/20 - f**5/10 - f**4/8 + f**3/2 + 10*f**2. Solve y(k) = 0 for k.
-1, 1
Factor 0 + 1/7*v**4 + 1/7*v**5 + 0*v - 1/7*v**2 - 1/7*v**3.
v**2*(v - 1)*(v + 1)**2/7
Let p be (4 + -2)*1856/14. Let k = 266 - p. Factor -2/7*w**4 + 0 + k*w**3 + 2/7*w - 6/7*w**2.
-2*w*(w - 1)**3/7
Factor -52*x**5 - x**4 + 53*x**5 - 4*x**3 + 4*x**2 + 0*x**2.
x**2*(x - 2)*(x - 1)*(x + 2)
Factor -4/9 + 10/9*p**3 - 2/9*p**4 - 2*p**2 + 14/9*p.
-2*(p - 2)*(p - 1)**3/9
Let t(n) be the third derivative of -n**5/90 + 7*n**4/24 - 5*n**3/9 + 25*n**2. Factor t(x).
-(x - 10)*(2*x - 1)/3
Let w = 5/36 - -1/12. Determine z so that -2/9*z + 4/9 - w*z**2 = 0.
-2, 1
Let b(j) = -3*j + 14. Let k be b(-10). Let q be 0*(4 + k/(-12)). Suppose 0 + 2/9*t**3 + q*t**2 - 2/9*t = 0. What is t?
-1, 0, 1
Let w be 16/64 - 19/(-4). Factor -2/7*y**w + 0*y**2 + 0 + 0*y - 2/7*y**3 - 4/7*y**4.
-2*y**3*(y + 1)**2/7
Suppose x + n - 1 = 0, 2*x - 1 = -0*x - n. Let o = -183 - -185. Factor 2*y + x*y**o - 4/3 - 2/3*y**3.
-2*(y - 1)**2*(y + 2)/3
Let c = -421 + 423. Solve 1/4*u**c + 0 - 1/4*u = 0 for u.
0, 1
Let d(i) be the second derivative of -i**7/3780 - i**6/1080 - i**4/6 + 2*i. Let z(p) be the third derivative of d(p). Factor z(f).
-2*f*(f + 1)/3
Let y(a) be the third derivative of a**7/420 - a**5/120 + 3*a**2. What is q in y(q) = 0?
-1, 0, 1
Let i(z) = 7*z**2 - z. Let l be i(1). Let w = -34 + 34. Factor 12*g - l*g + 3 + w*g**2 + 3*g**2.
3*(g + 1)**2
Solve 7*c**2 + 4*c - 9*c**3 - 6*c - 212*c**4 + 217*c**4 - c**5 = 0 for c.
0, 1, 2
Suppose 5*f + 25 = -25. Let q = -6 - f. Factor -8/3*x**5 + 0 - 2*x**3 - q*x**4 - 1/3*x**2 + 0*x.
-x**2*(2*x + 1)**3/3
Let j(o) be the third derivative of 2*o**7/105 + o**6/10 - 2*o**4/3 + 21*o**2. Find q such that j(q) = 0.
-2, 0, 1
Let u(x) = -4*x + 2*x - 1 - x. Let j be u(-1). Factor 10*h**2 + j*h**4 - 4*h**2 + 4*h**3 - 10*h**3 - 2*h.
2*h*(h - 1)**3
Solve 9*b - 9*b - 5*b**3 - 7*b**2 + 22*b**2 = 0.
0, 3
Determine w, given that -57*w**3 - 3*w**2 - 8*w**2 + 49*w**3 - 32*w - w**4 - 16 - 13*w**2 = 0.
-2
Suppose -5*w - f = 2*f - 23, 5*w = 4*f + 16. Factor -8*j + 13*j**3 - 5*j**3 + 4*j - w*j**5.
-4*j*(j - 1)**2*(j + 1)**2
Let c(u) be the first derivative of 2/3*u**3 + 0*u - u**2 - 2/5*u**5 - 5 + 1/2*u**4. Factor c(n).
-2*n*(n - 1)**2*(n + 1)
Let d(u) be the first derivative of u**4/26 + 4*u**3/39 - u**2/13 - 4*u/13 - 7. Determine z so that d(z) = 0.
-2, -1, 1
Solve 4/5 + 3/5*o - 1/5*o**2 = 0.
-1, 4
Let f(o) be the third derivative of o