 1/3*n**3. Solve b(l) = 0 for l.
-1, 1
Let u = 23076 - 345979/15. Let k = -31/3 + u. Let 2/5*f + k*f**2 + 0 = 0. Calculate f.
-1, 0
Let h = -56 - -56. Find v such that 3*v - 33/4*v**3 - 6*v**2 - 9/4*v**4 + h = 0.
-2, 0, 1/3
Let k(n) be the third derivative of 11*n**8/840 + 2*n**7/25 + 29*n**6/150 + 16*n**5/75 + n**4/20 - 2*n**3/15 + 14*n**2. Determine u, given that k(u) = 0.
-1, 2/11
Let i = -14 - -17. Let n be -1 - (i + 6/(-1)). Factor 1/4*r**n - 1/4*r + 1/4*r**3 - 1/4.
(r - 1)*(r + 1)**2/4
Let -2*z**3 + 1 - 1/2*z**5 + z**2 + 5/2*z - 2*z**4 = 0. Calculate z.
-2, -1, 1
Let p be (2 - 0)*34/(-4). Let l = p + 20. Factor -2/5*u**4 + 0 + 0*u**2 + 0*u - 2/5*u**l.
-2*u**3*(u + 1)/5
Let t = -20 - -14. Let h = t + 9. Factor -4/5*z**2 + 0*z + 2/5*z**4 + 0*z**h + 2/5.
2*(z - 1)**2*(z + 1)**2/5
Let h(i) be the third derivative of -i**5/30 + 2*i**4/3 - 16*i**3/3 + 8*i**2. Factor h(j).
-2*(j - 4)**2
Suppose 4*q - 10*q + 18 = 0. Find a such that 3/2*a**2 - 1/2*a**q + 0 - a = 0.
0, 1, 2
Let j = 258/11 - 2300/99. Let -4/3*b + j*b**2 + 2 = 0. What is b?
3
Let t(m) be the second derivative of -m**5/70 - m**4/42 + 5*m**3/21 - 3*m**2/7 + 3*m. Determine r, given that t(r) = 0.
-3, 1
Let k(l) = l**2 + l. Let s be k(-4). Let d be (s + -11)*1/3. Determine q so that 0*q - d*q**2 + 1/3 = 0.
-1, 1
Let q(b) = b**5 + b**2 - b + 1. Let k(t) = 13*t**5 + 13*t**4 + 6*t**3 + 4*t**2 - 9*t + 7. Let j(c) = -2*k(c) + 14*q(c). Find h, given that j(h) = 0.
-1, -2/3, 0, 1/2
Let u be 60/210*7/5. Let 0*s + u*s**2 + 0 = 0. Calculate s.
0
Let l = -110 + 110. Let f(h) be the third derivative of 1/6*h**3 + l*h + 0*h**4 - 1/60*h**5 - 2*h**2 + 0. Find x, given that f(x) = 0.
-1, 1
Let n(d) = 2*d**3 - 2*d. Let l(y) = -10*y**3 - y**2 + 9*y. Let j(g) = -4*l(g) - 22*n(g). Factor j(m).
-4*m*(m - 2)*(m + 1)
Find t, given that 3/7*t**4 + 0*t - 3/7*t**5 - 3/7*t**2 + 0 + 3/7*t**3 = 0.
-1, 0, 1
Suppose -2*t + 4*s = -7*t + 28, -5*t + 14 = -3*s. Let v = 2 + 3. Suppose 10*o**v - 4*o**3 - t*o**4 - 6*o**3 + 7*o**2 - 3*o**2 = 0. What is o?
-1, 0, 2/5, 1
Factor 0 + 1/3*j**3 - 2/3*j - 1/3*j**2.
j*(j - 2)*(j + 1)/3
Let x(t) be the third derivative of -1/110*t**6 + 0*t + 4/33*t**3 + 0 + 9*t**2 + 1/33*t**4 + 3/385*t**7 - 1/30*t**5. Find o such that x(o) = 0.
-2/3, 1
Let b = -197/9 + 74/9. Let y = -13 - b. Factor 0 + 0*u + y*u**3 - 4/3*u**2.
2*u**2*(u - 2)/3
Let s(h) be the third derivative of h**7/280 + h**6/40 - 3*h**5/80 - 7*h**4/16 - h**3 + 20*h**2. What is n in s(n) = 0?
-4, -1, 2
Let w(l) = 35*l**4 + 77*l**3 + 69*l**2 + 20*l + 5. Let b(n) = 36*n**4 + 76*n**3 + 70*n**2 + 20*n + 6. Let u(r) = 3*b(r) - 4*w(r). Factor u(j).
-2*(j + 1)**2*(4*j + 1)**2
Solve 2*h**3 - 2*h**2 + 21*h**4 - 23*h**4 - 2*h**5 + 4*h**2 = 0 for h.
-1, 0, 1
Solve 2*b**3 + 4 + 7*b - 2*b - 2*b + 7*b + 8*b**2 = 0.
-2, -1
Suppose 0 = m + 9*m - 50. Factor -58*i**2 - 8/5 - 16*i - 98/5*i**m - 94*i**3 - 70*i**4.
-2*(i + 1)**3*(7*i + 2)**2/5
Suppose 0 = -y + 7 - 5. Suppose 9*v**3 + 7*v**2 - 7*v**2 - 6*v**y = 0. Calculate v.
0, 2/3
Let u(v) be the second derivative of -2*v**6/15 + 67*v. Solve u(o) = 0 for o.
0
Factor 2*u**2 + 0*u**3 + 3*u**4 - 8*u**3 - u**3 + 4*u**2.
3*u**2*(u - 2)*(u - 1)
Suppose -5/4*q + 1/4*q**2 + 0 = 0. What is q?
0, 5
Suppose -5*q = 4*o + 6 - 37, q + 5 = 2*o. Factor -2*h**q + 2*h**4 - 3*h**2 + h**2 - 5*h**2 + 2*h + 5*h**4.
h*(h - 1)*(h + 1)*(7*h - 2)
Let k = 1/2 + 1/6. Factor -2/3*a**3 + 0 + 2/3*a**2 + 2/3*a - k*a**4.
-2*a*(a - 1)*(a + 1)**2/3
Let m(x) = x**3 - 4*x**2 + 2*x - 6. Let u be m(4). Factor 0 + 2/5*d**u + 4/5*d.
2*d*(d + 2)/5
Let n = 22 + -5. Let l = n - 33/2. Determine p so that 0*p - 1/2*p**4 + l*p**3 + 0 + 0*p**2 = 0.
0, 1
Let n = -17 - -3. Let q = -14 - n. Find m, given that m**4 + m**3 + 1/3*m**2 + 0*m + q + 1/3*m**5 = 0.
-1, 0
Let b(z) be the third derivative of z**7/945 + z**6/135 + z**5/54 + z**4/54 + 52*z**2. Determine o so that b(o) = 0.
-2, -1, 0
Let m(b) be the second derivative of 1/54*b**4 + 0 + 0*b**2 - 2/27*b**3 + 4*b. Determine f, given that m(f) = 0.
0, 2
Factor -5/3*g**2 + 0 - 5/3*g.
-5*g*(g + 1)/3
Let w(d) be the third derivative of -d**5/270 - d**4/108 + 6*d**2. Factor w(x).
-2*x*(x + 1)/9
Let t(r) be the second derivative of -5/36*r**4 - 1/60*r**5 + 0 - 4/9*r**3 - 2/3*r**2 + 3*r. Suppose t(f) = 0. What is f?
-2, -1
What is a in 6 - 7*a**3 - 6*a**4 + 3*a**5 + 24*a**2 + 4*a**3 - 3*a**3 - 21*a = 0?
-2, 1
Factor 1/4*v + 0*v**2 + 0 - 1/4*v**3.
-v*(v - 1)*(v + 1)/4
Suppose 0 = -5*g + 5*o + 15, 0*o = -4*o. Suppose -2/3*y**g + 1/3*y**4 + 0 + 1/3*y**5 + 0*y + 0*y**2 = 0. What is y?
-2, 0, 1
Let r(t) be the third derivative of -2*t**7/945 + 2*t**6/135 - 2*t**5/135 - 2*t**4/27 + 2*t**3/9 + 3*t**2. Let r(n) = 0. Calculate n.
-1, 1, 3
Suppose -5*a = -s + 2*s - 19, 0 = -a - 4*s + 19. Factor -15/4*q + 3/4*q**5 - 3/2*q**2 - 3/2 + 3*q**3 + a*q**4.
3*(q - 1)*(q + 1)**3*(q + 2)/4
Let b(r) = 84*r**3 + 213*r**2 + 96*r + 19. Let c(g) = 56*g**3 + 142*g**2 + 64*g + 13. Suppose 0 = 3*q - 6*q - 21. Let p(d) = q*c(d) + 5*b(d). Factor p(l).
(l + 2)*(4*l + 1)*(7*l + 2)
Let b = 0 - 1. Let v be 26/40 + b/4. Find n such that 0 + 4/5*n**2 + v*n + 2/5*n**3 = 0.
-1, 0
Let v(k) be the first derivative of -k**5/30 + k**4/12 - k**3/18 - 6. Factor v(i).
-i**2*(i - 1)**2/6
Let n(j) be the third derivative of j**5/60 + 5*j**4/8 - 8*j**3/3 + 3*j**2 + 13. Factor n(m).
(m - 1)*(m + 16)
Let g be 3 + 15/4 - 4/(-16). Let w(m) be the third derivative of 1/4*m**4 + 0*m**6 - 2*m**2 + 0*m + 1/70*m**g + 0 - 3/20*m**5 + 0*m**3. Factor w(b).
3*b*(b - 1)**2*(b + 2)
Suppose -4*o + 13 = -5*z, z = -2*o + 2 + 1. Factor -10/9*l**4 - 2/9*l**o + 4/9*l - 16/9*l**3 + 0.
-2*l*(l + 1)**2*(5*l - 2)/9
Let d = 4 + -4. Suppose -b + 0*b + y = -4, -5*b - 5*y = 0. Find f, given that -8/9*f**5 + d + 0*f**b - 2/9*f**3 + 0*f + 10/9*f**4 = 0.
0, 1/4, 1
Let g be ((-3)/26)/(18/42). Let p = g + 10/13. Suppose p*n**3 - 1/2*n**4 + 1/2*n**2 - 1/2*n + 0 = 0. What is n?
-1, 0, 1
Let i be (11/704)/((-6)/(-4)). Let y(o) be the third derivative of -4*o**2 - 1/240*o**5 + 0*o**3 + 0*o + i*o**4 + 0. Factor y(d).
-d*(d - 1)/4
Let a = -8 - -6. Let q be (a/5)/(2/(-20)). Let -f**2 + 5*f + 2*f**2 - 2*f**4 + 2 - f**q - 5*f**3 = 0. Calculate f.
-1, -2/3, 1
Let a(t) = -5*t + 3*t - 7 + 7. Let z be a(0). Factor -1/4*i**2 + z - 1/4*i.
-i*(i + 1)/4
Let n(q) be the second derivative of -q**5/14 - 11*q**4/21 - 23*q**3/21 - 6*q**2/7 - 34*q. Suppose n(r) = 0. What is r?
-3, -1, -2/5
Let l(d) = 9*d - 8. Let h be l(-15). Let q be h/(-55) + 4/10. What is m in -3*m**2 + 0 - 9/4*m**q - m = 0?
-2/3, 0
Let y(a) = -16*a**3 - 22*a**2 + 6 - 19*a**2 - 18*a**3 + 45*a + 13. Let j(f) = -7*f**3 - 8*f**2 + 9*f + 4. Let l(c) = -11*j(c) + 2*y(c). What is x in l(x) = 0?
-1, -2/3, 1
Let -32*g + 60*g**3 + 68/3*g**2 + 16/3 = 0. What is g?
-1, 2/9, 2/5
Determine n so that 1/2*n**2 + 3/2*n**4 + 0 + 0*n - 3/2*n**3 - 1/2*n**5 = 0.
0, 1
Let u(v) = -2*v**5 - v**4 - 5*v**3 + 3*v + 3. Let m(l) = -l**4 + l**3 - l - 1. Let n(d) = 3*m(d) + u(d). Suppose n(g) = 0. What is g?
-1, 0
Let r(f) be the second derivative of 0*f**2 + 0*f**3 - 2*f + 1/45*f**5 + 0 + 1/135*f**6 + 1/54*f**4. Let r(i) = 0. What is i?
-1, 0
Let b(z) be the first derivative of -z**3/15 + z/5 - 10. Factor b(r).
-(r - 1)*(r + 1)/5
Let j = -14 - -19. Factor 32*v**4 - v**5 + 24*v**3 + 2*v - 4*v - 2*v + 13*v**j.
4*v*(v + 1)**3*(3*v - 1)
Suppose 5*o - 5*w = 3 + 7, 2 = -o - w. Factor 0*t**2 + o*t**4 + 0 - 1/2*t**5 + 1/2*t**3 + 0*t.
-t**3*(t - 1)*(t + 1)/2
Let i(j) = j**2 + 15*j - 20. Let u(o) = -15*o + 20. Let k(s) = 5*i(s) + 4*u(s). Factor k(l).
5*(l - 1)*(l + 4)
Let g(d) be the third derivative of -2*d**2 - 7/12*d**4 + 0 - 3/10*d**5 - 1/105*d**7 - 1/12*d**6 - 2/3*d**3 + 0*d. Suppose g(r) = 0. What is r?
-2, -1
Suppose 2*l - 12 = -2. Let c(k) be the first derivative of 2/35*k**l + 2 + 0*k**2 + 0*k**4 - 4/21*k**3 + 2/7*k. Suppose c(d) = 0. What is d?
-1, 1
Let n(b) = b**4 - b**2 + b - 1. Let m(g) = -8*g**4 - 28*g**3 + 4*g**2 - 4*g + 4. Let w(k) = m(k) + 4*n(k). Suppose w(c) = 0. What is c?
-7, 0
Let d(p) be the second derivative of p**6/180 - p**5/60 + p**3/18 - p**2/12 + 4*p. Find q, given that d(q) = 0.
-1, 1
Suppose -1/9*g**4 - 2/9*g + 1/3*g**2 + 0 + 0*g**3 = 0. What is g?
-2, 0, 1
Let d(y) be the first derivative of -32/13*y**2 + 81/26*y**4 - 8/13*y - 30/13*y**3 - 