5 + 2*t**2 + t = 0.
0, 1
Let i = 305/396 - -15/44. Factor i*l - 4/9 - 2/3*l**2.
-2*(l - 1)*(3*l - 2)/9
Suppose -y + 5*y - g = 26, -y = g - 4. Let u(n) be the third derivative of 0*n + 2/3*n**3 + 1/3*n**4 + 1/120*n**y + 0 - 3*n**2 + 1/12*n**5. Factor u(z).
(z + 1)*(z + 2)**2
Let j(f) = f**3 - 12*f**2 - 48*f - 64. Let u(i) = -9*i**3 + 96*i**2 + 384*i + 512. Let b(h) = -51*j(h) - 6*u(h). Factor b(l).
3*(l + 4)**3
Let v(n) = 12*n**2 - 47*n + 27. Let z(r) = -12*r**2 + 46*r - 26. Let o(c) = -2*v(c) - 3*z(c). Determine m, given that o(m) = 0.
2/3, 3
Factor 3/7*b**3 - 12/7*b**2 + 0 + 12/7*b.
3*b*(b - 2)**2/7
Let g be ((-4)/(-7))/((-6)/(-7)). Let p = -42/11 + 148/33. Let 0 - p*w**3 - 2/3*w**4 + 2/3*w + g*w**2 = 0. Calculate w.
-1, 0, 1
Let g(j) = j**3 - j + 1. Let t(w) = -6*w**2 - 4*w**3 + 3*w - 4*w - 3 - w**3. Let k(s) = -3*g(s) - t(s). Factor k(f).
2*f*(f + 1)*(f + 2)
Let s(m) be the third derivative of -1/1848*m**8 + 0*m + 0 - 2*m**2 + 1/330*m**5 + 1/660*m**6 + 0*m**4 - 1/1155*m**7 + 0*m**3. Factor s(i).
-2*i**2*(i - 1)*(i + 1)**2/11
Solve -6/5*g + 4/5 + 2/5*g**2 = 0 for g.
1, 2
Let s = 28 + -25. Let d(l) be the first derivative of -1 + 0*l + 0*l**2 + 2/21*l**s. Suppose d(o) = 0. Calculate o.
0
Let w(m) be the third derivative of 2*m**7/35 - 3*m**5/20 + m**4/8 + 5*m**2 + 6*m. Suppose w(r) = 0. What is r?
-1, 0, 1/2
Let l = -31 + 33. Let g(w) be the first derivative of 14/25*w**5 + 0*w**l + 0*w**3 + 0*w + 1/5*w**4 + 2. Factor g(r).
2*r**3*(7*r + 2)/5
Let t(g) = g**2 + 7*g + 2. Let j be t(-7). Suppose 0 = -5*x + 3*x + 5*k + j, 5*x - 3*k - 24 = 0. What is a in 2*a**2 + a**3 - x*a - 2 + 0*a**3 + 5*a**3 = 0?
-1, -1/3, 1
Let a(w) be the first derivative of -w**7/280 - w**6/15 - 2*w**5/5 - 3*w**3 + 4. Let u(k) be the third derivative of a(k). Factor u(x).
-3*x*(x + 4)**2
Let h be 1 + -1 - (8/(-1) + 4). Let k(n) be the second derivative of 4/9*n**3 + 1/30*n**5 + 0*n**2 + 0 - 3*n + 2/9*n**h. What is b in k(b) = 0?
-2, 0
Factor 2/3*z**3 - 4/3 - 8/3*z**2 + 10/3*z.
2*(z - 2)*(z - 1)**2/3
Let n(f) be the first derivative of -2*f**5/25 + f**4/10 + 2*f**3/15 - f**2/5 + 4. Solve n(c) = 0.
-1, 0, 1
Let r(x) be the first derivative of x**7/280 - x**6/180 - x**5/40 + x**4/12 + 2*x**3/3 - 3. Let n(f) be the third derivative of r(f). Factor n(s).
(s - 1)*(s + 1)*(3*s - 2)
Factor 1/6*v**5 - v**2 + 0*v - 4/3*v**4 + 0 + 13/6*v**3.
v**2*(v - 6)*(v - 1)**2/6
Suppose 0 = 2*g + 2*g - 4*u - 288, 3*g + 2*u = 211. Let d = g - 211/3. Determine h, given that d*h + h**2 - 1/3 = 0.
-1, 1/3
Factor 19*o**2 - 8*o**3 + 9*o**4 - 16*o**3 - 7*o**2.
3*o**2*(o - 2)*(3*o - 2)
Factor -1/4*q**2 + 1/4*q**3 + 0 - 1/4*q + 1/4*q**4.
q*(q - 1)*(q + 1)**2/4
Factor 4*g**3 + 16*g**2 + 316 - 316.
4*g**2*(g + 4)
Let h(m) be the first derivative of 5*m**6/2 - 24*m**5/5 + 3*m**4/4 + 2*m**3 - 12. Suppose h(o) = 0. Calculate o.
-2/5, 0, 1
Let r = -1332 + 1334. Factor 0*n**r + 4/7*n**3 + 0 - 4/7*n.
4*n*(n - 1)*(n + 1)/7
Factor 3/7*y + 0 + 1/7*y**2.
y*(y + 3)/7
Let z be ((-4)/(4/15))/(-1). Let q be (z/9 - 0)/1. Let 2/3*i + 0 + q*i**2 = 0. What is i?
-2/5, 0
Let r(m) be the second derivative of m**4/48 + m**3/12 - 6*m. Factor r(d).
d*(d + 2)/4
Factor 6*y + 4*y - 2*y**2 - 79 + 71.
-2*(y - 4)*(y - 1)
Let u be 57/11 + 2/(-11). Let x(a) be the first derivative of -11*a**3 + 2 + a**3 + 0*a**4 + 8*a + 2*a**u - 4*a**2 - a**4. Determine o so that x(o) = 0.
-1, 2/5, 2
Solve h**2 - h**2 + 4*h + 2*h**2 = 0 for h.
-2, 0
Let p(o) = 2*o + 0*o**2 + o**3 - 4*o**3 - 8*o**2 + 8*o**4 + 11*o**3. Let r(f) = f**4 + f**3 - f**2. Let t(d) = -p(d) + 10*r(d). Let t(m) = 0. Calculate m.
-1, 0, 1
Let s be (-1 - -1) + -12 + 14. Let x(q) be the third derivative of -8/315*q**7 + 3*q**s + 0 - 11/60*q**5 + 5/36*q**4 + 0*q - 1/18*q**3 + 1/9*q**6. Factor x(k).
-(k - 1)**2*(4*k - 1)**2/3
Suppose 5*a - 7 = -5*n + 4*n, -n = a + 1. Factor 4/11*j**a - 2/11 + 0*j - 2/11*j**4 + 0*j**3.
-2*(j - 1)**2*(j + 1)**2/11
Let p(h) be the first derivative of -6*h**5/25 - 2*h**4/5 + 4*h**3/15 + 4*h**2/5 + 2*h/5 - 8. Find c, given that p(c) = 0.
-1, -1/3, 1
Let w(s) be the third derivative of -1/120*s**5 + 0 - 3*s**2 + 0*s + 0*s**3 + 0*s**4. Factor w(y).
-y**2/2
Let b(g) be the second derivative of 0 + 0*g**3 + 0*g**2 + 1/10*g**5 + 1/12*g**4 + 7*g. Factor b(j).
j**2*(2*j + 1)
Suppose 22 = 5*w + 3*o, w = 5*o + 2 - 20. Suppose w*a = -0*r + 2*r - 4, 2*a = -2*r + 16. Suppose 4/3*g**2 + 0 + 2/3*g**a + 2/3*g = 0. Calculate g.
-1, 0
Let f(a) be the first derivative of 0*a + 6 - 4/3*a**3 + 0*a**2 - a**4 - 1/5*a**5. Factor f(c).
-c**2*(c + 2)**2
Factor i + 2*i - 8*i + i**2 - 6.
(i - 6)*(i + 1)
Let c(k) be the second derivative of -k**4/8 - k**3/4 + 3*k**2/2 - 18*k. Let c(y) = 0. What is y?
-2, 1
Let v(y) = -2*y - 7. Let d(a) = 2*a**3 + a**2 - 2*a + 1. Let i be d(-2). Let k be v(i). Suppose -2*w - 5/4*w**4 + 0 - 11/2*w**3 - k*w**2 = 0. What is w?
-2, -2/5, 0
Factor 2/3*y**2 + 0 + 1/3*y + 1/3*y**3.
y*(y + 1)**2/3
Let d be (0 - 2)*6/4. Let k be (-1)/(d/(-12)*-1). Factor 3*x**5 - k*x**5 + 2*x**3 + 0*x - x.
-x*(x - 1)**2*(x + 1)**2
Suppose -2*x = -2*t + 10, 5*x + 5 = -4*t - t. Let s(r) be the third derivative of 0*r + 0 + 0*r**4 + r**t - 1/150*r**5 + 1/15*r**3. Factor s(u).
-2*(u - 1)*(u + 1)/5
Factor 1/3*q**2 - 1/3*q**3 + 8/3*q - 4.
-(q - 2)**2*(q + 3)/3
Let o(d) be the third derivative of -d**8/252 - 4*d**7/315 - d**6/90 + 2*d**2. Let o(n) = 0. Calculate n.
-1, 0
What is n in 0 + 1/2*n**3 + n + 3/2*n**2 = 0?
-2, -1, 0
Let r(o) be the second derivative of -3*o**5/20 + o**3/2 + 4*o. Find u, given that r(u) = 0.
-1, 0, 1
Determine t, given that 0*t - 3/5*t**5 - t**4 - 1/5*t**3 + 0 + 1/5*t**2 = 0.
-1, 0, 1/3
Let p(w) be the second derivative of w**5/20 + w**4/12 + 3*w. Let k be p(1). Suppose -2 - 4*b + k + 4 + b**2 = 0. Calculate b.
2
Suppose 6*f - f - 10 = 0. Let a(s) be the third derivative of 0 + 1/1008*s**8 + 0*s**3 + 3*s**f + 0*s**5 + 0*s**7 + 1/72*s**4 - 1/180*s**6 + 0*s. Factor a(p).
p*(p - 1)**2*(p + 1)**2/3
Suppose -2*w = 5*j - 15, 5*j - 10 = 4*w + 5. Factor 4/7*c**4 + 2/7*c**5 - 4/7*c**2 + w - 2/7*c + 0*c**3.
2*c*(c - 1)*(c + 1)**3/7
Let v(a) = 6*a**4 + 16*a**3 + 11*a**2 + 11. Let z = 4 - 0. Let n(p) = p**4 + 3*p**3 + 2*p**2 + 2. Let u(o) = z*v(o) - 22*n(o). Suppose u(q) = 0. What is q?
0, 1
Suppose -2*v**3 + 8*v**2 - 2 - 6*v - 14*v**2 + 0 = 0. Calculate v.
-1
Suppose 81 = 11*s + 16*s. Suppose 4/5*t - 1/5*t**4 + 0 - 8/5*t**2 + t**s = 0. Calculate t.
0, 1, 2
Let n be 2*(9/(-6) + 4). Let i(c) be the second derivative of 0 + 1/6*c**3 - 1/2*c**4 + 9/20*c**n + 2*c - 2/15*c**6 + 0*c**2. Factor i(m).
-m*(m - 1)**2*(4*m - 1)
Let x = 17 - 16. Let o be 4 + x*90/(-25). Factor 12/5*a**2 - 8/5*a + o + 2/5*a**4 - 8/5*a**3.
2*(a - 1)**4/5
Let c(s) be the third derivative of s**7/210 - s**6/480 - s**5/60 + s**4/96 + 4*s**2. Determine j, given that c(j) = 0.
-1, 0, 1/4, 1
Let y(h) = -h**2 + 6*h + 3. Let d be y(3). Suppose -3*i - 3*i = -d. Determine x, given that 0*x - 2/5 + 2/5*x**i = 0.
-1, 1
Suppose y + 0*y - 1 = 0. Let q be 3 + 0 - (-1)/y. Factor u**2 - 2*u**3 + 3*u**3 + 6*u**q - 7*u**3 - 2*u**5 + u**2.
-2*u**2*(u - 1)**3
Factor 1/2*j**3 + 0 - 5/4*j**2 + 1/2*j.
j*(j - 2)*(2*j - 1)/4
Factor 29/4*n**3 + 31/4*n + 5/4 + n**4 + 51/4*n**2.
(n + 1)**2*(n + 5)*(4*n + 1)/4
Let w(y) be the third derivative of -1/420*y**6 + 0 - 3*y**2 + 1/35*y**5 + 0*y - 1/7*y**4 + 8/21*y**3. What is a in w(a) = 0?
2
Factor 27/4*d**2 + 0 + 3*d + 9/2*d**3 + 3/4*d**4.
3*d*(d + 1)**2*(d + 4)/4
Let p(d) = 18*d**3 - 26*d**2 + 6*d - 2. Let g(a) = -a**3 + a**2 - a - 1. Let x(q) = -2*g(q) + p(q). Factor x(z).
4*z*(z - 1)*(5*z - 2)
Let x(d) = -4*d**3 - 3*d**2 + 5. Let v(i) = -7*i**3 - 5*i**2 + i + 9. Let w(b) = -3*v(b) + 5*x(b). Solve w(n) = 0.
-1, 2
Let y = 49 + -49. Let f(w) be the third derivative of 0*w**3 + 3*w**2 - 1/90*w**5 + y*w + 1/540*w**6 + 1/54*w**4 + 0. Factor f(p).
2*p*(p - 2)*(p - 1)/9
Let i be 1*(5/(-10) + 1). Let b(q) be the second derivative of -i*q**2 - 1/6*q**3 + 3*q + 0 + 1/12*q**4 + 1/20*q**5. Find s such that b(s) = 0.
-1, 1
Let w(q) = 324*q**3 + 474*q**2 + 154*q + 16. Let a(x) = x**2 - x. Let k(z) = 6*a(z) - w(z). Factor k(p).
-4*(p + 1)*(9*p + 2)**2
Factor 0*b**2 + 0 + 2/11*b**4 + 0*b - 2/11*b**3.
2*b**3*(b - 1)/11
Let f = -536 + 1594/3. Let s = 5 + f. Factor -1/3*m + s*m**4 - 1/3*m**5 + 2/3