*3 - 9/4*g**4 + 3*g**2.
-3*g**2*(g - 1)*(g + 2)**2/4
Let d = -58/9 + 125/18. Find y, given that d*y**2 + 1 - 3/2*y = 0.
1, 2
Let w(u) be the third derivative of -6*u**2 + 1/28*u**4 - 1/70*u**5 + 0 - 1/21*u**3 + 0*u + 1/420*u**6. Factor w(d).
2*(d - 1)**3/7
Factor -2/7*g**3 - 3/7*g**4 + 2/7*g + 3/7*g**2 + 0.
-g*(g - 1)*(g + 1)*(3*g + 2)/7
Factor -v**3 + 12*v**4 + 2*v + 13*v - 11*v**3 - 5*v**5 - 6 - 6*v**2 + 2*v**5.
-3*(v - 2)*(v - 1)**3*(v + 1)
Suppose -3*n = 351 + 444. Let p = 1329/5 + n. Factor 2/5 + 2/5*l**4 - p*l**2 + 0*l + 0*l**3.
2*(l - 1)**2*(l + 1)**2/5
Let u(a) be the second derivative of 1/150*a**6 + 1/30*a**4 - 1/25*a**5 + 0 + 2/15*a**3 + 9*a - 3/10*a**2. Solve u(i) = 0.
-1, 1, 3
Let s(z) = 4*z**2 - 4*z + 10. Let k(u) = u**2 + u. Let h(o) = -6*o**2 - 4*o - 1. Let c(r) = -h(r) - 5*k(r). Let d(f) = -6*c(f) + s(f). Solve d(v) = 0 for v.
-1, 2
Let h(d) = 4*d**4 + 6*d**3 - 4*d**2 - 6*d - 5. Let n be (-8)/2*(-40)/32. Let j(w) = w**4 + w**3 - w**2 - w - 1. Let z(s) = n*j(s) - h(s). Factor z(y).
y*(y - 1)**2*(y + 1)
Let v be (12/18)/((-2)/(-12)). Let f(u) be the third derivative of 0*u**3 - 1/120*u**6 + 0*u + 0 - 2*u**2 - 1/30*u**5 - 1/24*u**v. Factor f(g).
-g*(g + 1)**2
Suppose 0 = 11*p - 16*p + 65. Factor p*z**2 + 5 - 4 - 16*z**4 + 8*z + 2*z**2 - 8*z**3.
-(z - 1)*(z + 1)*(4*z + 1)**2
Let i(t) = t + 10. Let p be i(-7). Suppose -4*m = -3*q - 18, p*m + 0*q - q = 11. Factor -3/4*z + 3/4*z**4 - 1/2*z**2 + 1/2*z**m + 1/4*z**5 - 1/4.
(z - 1)*(z + 1)**4/4
Let a(l) be the third derivative of l**6/24 - l**5/2 + 55*l**4/24 - 5*l**3 + 11*l**2 + 1. Solve a(d) = 0.
1, 2, 3
Suppose 0 = 6*n - 0*n - 18. Suppose 3*x + 2*i + n*i = -11, -4*x + 5*i + 32 = 0. Find u, given that -2/9*u**5 - 8/9*u**4 + 0*u - 4/9*u**2 + 0 - 10/9*u**x = 0.
-2, -1, 0
Let t(v) be the third derivative of v**7/2100 - v**5/100 - v**4/30 + v**3/3 + 2*v**2. Let p(i) be the first derivative of t(i). Factor p(l).
2*(l - 2)*(l + 1)**2/5
Let f(a) = -a**3 - 12*a**2 + 1. Let u be f(-12). Find n, given that n**3 - 3*n**3 - 9*n**2 - 5*n**3 - u - 5*n - 2*n**4 = 0.
-1, -1/2
Let g(l) be the first derivative of -l**3/24 + l**2/8 - l/8 + 14. Let g(i) = 0. Calculate i.
1
Find x such that -1 + 13/3*x - 4/3*x**2 = 0.
1/4, 3
Let u = -2 + -6. Let r = 14 + u. Determine f, given that 3*f**2 + 3 + r*f + 0 + 0 = 0.
-1
Let v(w) be the first derivative of -14*w**3/27 + w**2/3 + 17. Find i, given that v(i) = 0.
0, 3/7
Suppose -5*d + 2*d - 4*z = -48, 32 = d - 4*z. Let t be (-6)/(-10) + 12/d. Factor -1/5*q**5 - t*q**3 + 0 - 4/5*q**4 - 1/5*q - 4/5*q**2.
-q*(q + 1)**4/5
Let z(m) be the first derivative of -2 - 1/8*m**2 - 1/20*m**5 + 0*m + 1/16*m**4 + 1/12*m**3. Factor z(p).
-p*(p - 1)**2*(p + 1)/4
Let g(a) = -6*a**3 + 7*a**2. Let w(b) = -9*b**3 + 10*b**2. Let d be (-9)/6*10/3. Let k(n) = d*w(n) + 8*g(n). Determine s so that k(s) = 0.
0, 2
Factor 1/2*y**3 + 0 + 1/4*y**4 - 1/2*y - 1/4*y**2.
y*(y - 1)*(y + 1)*(y + 2)/4
Let n be (-15 - 0)*(-2)/6 + -3. Factor 0*s - 1/2*s**n - 3/2*s**3 + 0.
-s**2*(3*s + 1)/2
Let w(g) = 10*g**4 + 4*g**3 + 14*g**2 + 11*g + 9. Let a(c) = c**4 + c**2 + c + 1. Let b(x) = -18*a(x) + 2*w(x). Find l, given that b(l) = 0.
-2, -1, 0
Let t(c) = 5*c**5 + 7*c**4 - 3*c**3 - 19*c**2 - 5*c - 3. Let s(y) = 11*y**5 + 15*y**4 - 5*y**3 - 39*y**2 - 9*y - 7. Let g(h) = -3*s(h) + 7*t(h). Factor g(l).
2*l*(l - 2)*(l + 1)**2*(l + 2)
Suppose 32/3 - 2/3*c**2 + 4*c = 0. What is c?
-2, 8
Suppose -4*w + 23 = 3*i, w + i = -i + 12. Suppose -3*r = -4*d - w - 7, -2*d + 3*r = 9. Factor d*t - 1/3*t**2 + 1/3.
-(t - 1)*(t + 1)/3
Let a = -8716/3 + 2854. Let b = 52 + a. Find y, given that -1/3*y - 1/3*y**2 + b = 0.
-2, 1
Let x(o) be the first derivative of 2*o**3/45 - 4*o**2/15 + 2*o/5 + 1. Factor x(s).
2*(s - 3)*(s - 1)/15
Let g(b) = -2*b**4 - 3*b**3 + 8*b**2 + 6*b - 12. Let m(d) = d**4 - d**3 + 1. Let z(s) = -5*g(s) - 15*m(s). Factor z(p).
-5*(p - 3)**2*(p - 1)*(p + 1)
Let v = 47/63 - -1/9. Factor -4/7*i + v*i**2 - 2/7.
2*(i - 1)*(3*i + 1)/7
Determine c, given that 0 + 2/5*c**2 + 0*c + 1/5*c**3 = 0.
-2, 0
Let x(i) be the first derivative of i**6/3 - 16*i**5/5 + 12*i**4 - 64*i**3/3 + 16*i**2 - 2. Factor x(h).
2*h*(h - 2)**4
Let i(f) = -f - 1. Let k be i(-8). Let w(q) be the second derivative of 0*q**4 + 0*q**2 + q - 4/3*q**6 + 0 - 25/21*q**k + 0*q**3 - 2/5*q**5. Factor w(m).
-2*m**3*(5*m + 2)**2
Suppose 0 = -4*j, 2*a + 3 = j + 7. Let -3*z**3 - 3*z**2 - z**a + 5*z**3 = 0. Calculate z.
0, 2
Let a be 4 - (0/(-3) + -44). Let n be 6/8*a/18. Let -2/3*o + 0 - 2*o**n = 0. What is o?
-1/3, 0
What is r in 2/3*r - 8/9*r**4 + 10/9*r**2 - 2/9 - 2/3*r**3 = 0?
-1, 1/4, 1
Factor -10/11*q + 4/11 + 6/11*q**2.
2*(q - 1)*(3*q - 2)/11
Suppose 7 = 4*w - 3*w. Let r(h) be the third derivative of 1/60*h**5 + 0 + 1/70*h**w + 0*h - 1/30*h**6 + 0*h**4 + 0*h**3 - h**2. Solve r(k) = 0 for k.
0, 1/3, 1
Let h(g) = 4*g**4 - g**3 - 3*g**2 + 7*g + 7. Let n(f) = 2*f**4 - f**3 - f**2 + 3*f + 3. Let l(y) = 6*h(y) - 14*n(y). Factor l(c).
-4*c**2*(c - 1)**2
Let x(y) = 7*y**2 + 2*y + 6. Let w(h) = h**2 + 1. Let f(l) = 6*w(l) - x(l). Let f(o) = 0. Calculate o.
-2, 0
Let x be 3*(21/(-9) + 3). Let y(t) be the third derivative of 0*t + 0*t**4 + 0 + 1/120*t**6 + 0*t**3 + x*t**2 + 1/60*t**5. Suppose y(n) = 0. What is n?
-1, 0
Factor 2/9*k**5 + 28/9*k**3 + 2*k - 4/9 - 32/9*k**2 - 4/3*k**4.
2*(k - 2)*(k - 1)**4/9
Let a be ((-2)/(-5))/((-1)/55). Let m be a/55 + 12/10. Factor -m*k**2 + 0*k - 2/5*k**3 + 2/5*k**4 + 0.
2*k**2*(k - 2)*(k + 1)/5
Factor 0 - 6/5*l**4 + 40*l - 118/5*l**3 - 112*l**2.
-2*l*(l + 10)**2*(3*l - 1)/5
Let n(v) = -v**2 - 9*v + 4. Let h be n(-10). Let b = h + 9. Determine m, given that -2/5*m**5 + 0*m**4 + 0 + 4/5*m**b - 2/5*m + 0*m**2 = 0.
-1, 0, 1
Let g(f) be the third derivative of 0*f**3 - 1/480*f**6 + 0 + 3*f**2 + 0*f**4 + 1/240*f**5 + 0*f. Determine j, given that g(j) = 0.
0, 1
Let u(g) be the third derivative of g**8/1176 + 2*g**7/735 - g**6/210 - 4*g**5/105 - g**4/12 - 2*g**3/21 + 6*g**2. Factor u(a).
2*(a - 2)*(a + 1)**4/7
Let p(c) be the first derivative of c**5/25 + c**4/2 + 32*c**3/15 + 16*c**2/5 - 52. Factor p(l).
l*(l + 2)*(l + 4)**2/5
Let x(g) = 6*g**2 + 43*g + 61. Let p(s) = -3*s**2 - 22*s - 31. Let d(k) = 7*p(k) + 4*x(k). Factor d(o).
3*(o + 3)**2
Let s(y) be the first derivative of -49*y**3/18 + 7*y**2/3 - 2*y/3 + 9. Let s(l) = 0. Calculate l.
2/7
Factor 0 - 1/5*t**2 - 3/5*t.
-t*(t + 3)/5
Let k(v) be the third derivative of v**5/30 + v**4/2 + 3*v**3 - 11*v**2. Factor k(j).
2*(j + 3)**2
Let o(a) be the third derivative of a**5/300 - a**4/120 - a**3/15 + a**2. Let o(v) = 0. What is v?
-1, 2
Solve 8/3*m**2 - 2/9*m**5 + 0 - 8/9*m - 26/9*m**3 + 4/3*m**4 = 0.
0, 1, 2
Let v be (-171)/95*10/(-6). Factor -1/4*j**5 + 0*j - 3/4*j**4 + 0 - 3/4*j**v - 1/4*j**2.
-j**2*(j + 1)**3/4
Let f(s) be the second derivative of -s**6/6 - s**5/4 + 5*s**4/12 + 5*s**3/6 + 11*s. Factor f(i).
-5*i*(i - 1)*(i + 1)**2
Let p(r) = -r - 1. Let s(c) = 4*c**2 + 6*c + 2. Suppose -4*x + l + 0*l + 29 = 0, 2*x + l - 7 = 0. Let h(d) = x*p(d) - s(d). Factor h(z).
-4*(z + 1)*(z + 2)
Let w(i) be the first derivative of -1/5*i**2 - 7/15*i**3 - 1 - 9/20*i**4 + 0*i - 1/30*i**6 - 1/5*i**5. Factor w(o).
-o*(o + 1)**3*(o + 2)/5
Let q(d) be the second derivative of -d**6/2 - d**5/2 + 35*d**4/12 - 5*d**3/3 + d. Factor q(i).
-5*i*(i - 1)*(i + 2)*(3*i - 1)
Let q(p) be the third derivative of -p**6/24 + p**5/12 + 5*p**4/24 - 5*p**3/6 - 22*p**2. Let q(j) = 0. What is j?
-1, 1
Suppose 2*u - 6*u = -3*u. Let u*i**3 - 1/5*i**2 + 0 + 0*i + 1/5*i**4 = 0. Calculate i.
-1, 0, 1
Factor 0*o**2 - 2/13*o**4 + 0 - 6/13*o**3 + 8/13*o.
-2*o*(o - 1)*(o + 2)**2/13
Let o(l) be the second derivative of l**5/60 - l**4/24 - l**3/3 - l**2/2 + l. Let y(x) be the first derivative of o(x). Factor y(m).
(m - 2)*(m + 1)
Let i(v) be the third derivative of 0 + 4*v**2 - 1/210*v**5 + 0*v**3 - 1/84*v**4 + 0*v. Determine h, given that i(h) = 0.
-1, 0
Let t(q) be the third derivative of -q**8/224 - q**7/20 - 9*q**6/80 + 27*q**5/40 + 27*q**4/8 - 4*q**2. Factor t(f).
-3*f*(f - 2)*(f + 3)**3/2
Let x(h) = 4*h**3 + 8*h**2 - 5*h - 9. Let c(a) = -a - 2*a**3 + 5*a - 3*a**2 - a**2 + 4 - 2*a. Let m(w) = -9*c(w) - 4*x(w). Solve m(f) = 0.
-1, 0
Suppose -3*r = -r - 8. Let b(w) = 3*w**3 - 5*w + 10. Let l(d) = -3*d**3 + 6*d - 9. Let c(h) = r