i**8 + 1/3*i**3. Factor w(l).
-2*(l - 1)*(l + 1)**4
Let z(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v**5 - 1/40*v**6 - 2/35*v**7 + 0 + 2*v**2 + 0*v. Factor z(m).
-3*m**3*(4*m + 1)
Let v(b) be the second derivative of -b**10/105840 - b**9/17640 - b**8/7840 - b**7/8820 - b**4/6 - 3*b. Let f(k) be the third derivative of v(k). Factor f(y).
-2*y**2*(y + 1)**3/7
Let w(b) be the second derivative of -81/8*b**2 - 3/80*b**5 + 0 - 27/8*b**3 - 4*b - 9/16*b**4. Factor w(s).
-3*(s + 3)**3/4
Factor 144 - 5*k**3 - 144 - 4*k**2 + k**3.
-4*k**2*(k + 1)
Let k(t) = 4*t**2 + 12*t - 4. Let j(d) = d**2 + d. Let a = -1 - 0. Let r(u) = a*k(u) + 6*j(u). Factor r(h).
2*(h - 2)*(h - 1)
Let v(t) = t**3 - 9*t**2 + 8*t + 2. Suppose -r + 24 = 2*r. Let q be v(r). Factor -2/3*k**q - 4/3*k + 0.
-2*k*(k + 2)/3
Let n(b) be the third derivative of -b**7/1050 - b**6/600 + b**5/300 + b**4/120 - 3*b**2. Factor n(o).
-o*(o - 1)*(o + 1)**2/5
Let h(q) be the first derivative of -1/7*q**2 + 4/7*q - 2/21*q**3 - 2. Determine l so that h(l) = 0.
-2, 1
Suppose -5*w**5 - 16*w - 2*w + 8*w + 5*w**4 - 5*w**2 + 0*w**4 + 15*w**3 = 0. Calculate w.
-1, 0, 1, 2
Suppose -14/3*d**4 - 98/9*d**5 + 16/3*d**3 + 0 + 0*d - 8/9*d**2 = 0. Calculate d.
-1, 0, 2/7
Let m(w) = -4*w**3 + 14*w**2 + 26*w + 19. Let j(s) = -s**3 - s**2 + 1. Let p(b) = -22*j(b) + 2*m(b). Factor p(f).
2*(f + 1)*(f + 2)*(7*f + 4)
Let g(j) be the first derivative of 2*j**5/25 + 2*j**4/5 + 2*j**3/3 + 2*j**2/5 + 3. Determine s so that g(s) = 0.
-2, -1, 0
Suppose 0 = -4*l + 245 + 139. Factor 47*m**3 - l*m**2 + 26*m**3 - 2 + 24*m + 91*m**3 - 36*m**3.
2*(4*m - 1)**3
Let l(m) be the first derivative of 0*m**2 - 2/27*m**3 - 2/45*m**5 + 0*m - 8 - 1/9*m**4. Factor l(s).
-2*s**2*(s + 1)**2/9
Let h(z) be the first derivative of 5*z**3/3 - 20*z**2 + 35*z + 24. Find j such that h(j) = 0.
1, 7
Let m(h) = -3 - 4 - h + 5*h**2 - 4*h**3 - 2*h. Let l = -9 - -13. Let a(k) = -3*k**3 + 4*k**2 - 3*k - 6. Let g(x) = l*m(x) - 5*a(x). Find p, given that g(p) = 0.
-1, 2
Let n(c) = c**2 - c - 3. Let l be n(-3). Let j = -5 + l. Solve v**2 - 2*v - v + j*v = 0.
-1, 0
Let u(i) be the second derivative of -i**6/105 - 2*i**5/35 - 2*i**4/21 - 10*i. Factor u(l).
-2*l**2*(l + 2)**2/7
Suppose -m = 4*m + q + 25, 5*m - 3*q = -45. Let k be (0 - -2)*(-9)/m. Factor -w**4 + w + w**2 - w**k - 3*w**4 + 3*w**4.
-w*(w - 1)*(w + 1)**2
Let a(m) be the third derivative of 0 + 0*m**3 - 1/42*m**4 - 1/735*m**7 + 3*m**2 + 1/210*m**6 + 0*m + 1/210*m**5. Find s, given that a(s) = 0.
-1, 0, 1, 2
Let k(h) = -h**2 - 1. Let z(m) = 4*m**2 + 5. Let l = -3 - -6. Suppose -l = -2*n - 1. Let u(y) = n*z(y) + 5*k(y). Let u(b) = 0. What is b?
0
Determine b, given that 7/3*b**2 + 0 + 1/3*b + 8/3*b**3 - 16/3*b**4 = 0.
-1/4, 0, 1
Let n be 18*(-4 + (-275)/(-66)). Suppose 2/3*l**4 - n*l**3 - 3*l + 14/3*l**2 + 2/3 = 0. Calculate l.
1/2, 1, 2
Let b(o) = -o**2 - 11*o - 11. Let f be -18*((-2)/4)/(-1). Let i be b(f). Factor -2*r**2 + r**3 - 4*r + 5*r**2 + 1 + i*r.
(r + 1)**3
Let a(s) be the third derivative of -s**6/280 + s**5/140 + s**4/14 - 2*s**3/7 + 5*s**2. Solve a(y) = 0 for y.
-2, 1, 2
Let t(q) = -q**2. Let d be t(0). Factor 1/5*g**3 + 1/5*g**2 + 0 + d*g.
g**2*(g + 1)/5
Let a(m) = -m**3 - 7*m**2 - 8*m - 8. Let w be a(-6). Factor -z**3 - 3 + 7 - w.
-z**3
Let s = 139 + -137. Let b = -931/11 - -85. What is i in -6/11*i + 2/11*i**3 + 0*i**s + b = 0?
-2, 1
Let z(u) be the second derivative of -u**4/6 - u**3/3 + 9*u. Find v such that z(v) = 0.
-1, 0
Factor -3/2*u + 0*u**2 + 3/2*u**3 + 0.
3*u*(u - 1)*(u + 1)/2
Let v(z) be the third derivative of -5*z**2 + 0 + 1/80*z**5 + 1/160*z**6 + 0*z + 0*z**3 + 0*z**4 - 1/448*z**8 - 1/280*z**7. Find k such that v(k) = 0.
-1, 0, 1
Let o be 0/((0 + -1)*(-3 + 0)). Factor -2/7*x**4 + 0*x + 2/7*x**3 + 4/7*x**2 + o.
-2*x**2*(x - 2)*(x + 1)/7
Factor 0 + 2*h**2 - 5/4*h**3 + 1/4*h**4 - h.
h*(h - 2)**2*(h - 1)/4
Let u be (-15)/(-10) + 1/2. Suppose -3*m + 5*o + 26 = 0, 3*o = m + 4*m - 22. Determine p so that 2*p**m - u - p**2 + 1 = 0.
-1, 1
Let n = -4/5 + 13/10. Let h(d) be the first derivative of -2 + 1/12*d**6 - 5/3*d**3 - 1/2*d + 5/4*d**4 + 5/4*d**2 - n*d**5. Factor h(o).
(o - 1)**5/2
Let j(q) = -11*q**4 - q**3 + q**2 - 23*q - 17. Let w(o) = -4*o**4 - 8*o - 6. Let h(s) = -18*s**2 - s. Let b be h(-1). Let f(m) = b*w(m) + 6*j(m). Factor f(n).
2*n*(n - 1)**3
Let r(i) be the first derivative of -i**6/2 - 3*i**5/5 + 3*i**4/2 + 2*i**3 - 3*i**2/2 - 3*i - 15. Find y, given that r(y) = 0.
-1, 1
Let v(o) = -o**3 - 9*o**2 - 6*o + 10. Let p be v(-8). Let x be (1 - 0) + 2/p. Factor -2*u + 2*u**2 - 2/3*u**3 + x.
-2*(u - 1)**3/3
Let z(w) be the third derivative of 7*w**6/960 + 11*w**5/160 + w**4/6 - w**3/4 - 23*w**2. Let z(x) = 0. Calculate x.
-3, -2, 2/7
Suppose 2/5*g**4 + 0 - 8/5*g - 2*g**3 + 16/5*g**2 = 0. Calculate g.
0, 1, 2
Let q be (-15)/5 + (0 - -1). Let f(z) = z**3 + 4*z**2 + 4*z + 3. Let t be f(q). Determine g, given that -2/7*g**t + 0 - 4/7*g**2 + 0*g = 0.
-2, 0
Let c = 1 + -1. Suppose 1205*u = 1208*u - 9. Let 1/4*o**u + c + 1/2*o**2 + 1/4*o = 0. What is o?
-1, 0
Determine w so that 0 - 1/2*w + 2*w**2 - 3/2*w**3 = 0.
0, 1/3, 1
Factor g**2 + 2/3*g**3 + 2/3*g + 1/6 + 1/6*g**4.
(g + 1)**4/6
Let r(u) be the third derivative of u**6/1080 - u**4/72 - u**3/6 - 2*u**2. Let t(j) be the first derivative of r(j). Factor t(o).
(o - 1)*(o + 1)/3
Let j be (746/(-44))/(2/8). Let g = j + 68. Suppose -g*f + 2/11*f**3 - 2/11*f**4 + 2/11*f**2 + 0 = 0. Calculate f.
-1, 0, 1
Factor -1/3 - 1/6*c**2 + 1/2*c.
-(c - 2)*(c - 1)/6
Let d = 3/2 - 17/14. Suppose 7*i + 15 = 4*i + 5*c, -2*i = 5*c - 15. Find o such that i - d*o**2 + 0*o = 0.
0
Let i(v) be the third derivative of v**7/490 - v**6/70 + v**5/28 - v**4/28 - 7*v**2. Factor i(s).
3*s*(s - 2)*(s - 1)**2/7
Determine j so that 9/2 + 1/2*j**2 - 3*j = 0.
3
Let x be 0 - (129/15 + -2). Let n = x + 34/5. Factor 1/5*d**3 - 1/5*d**2 + n - 1/5*d.
(d - 1)**2*(d + 1)/5
Let p(w) = -15*w**4 + 21*w**3 + 3*w**2 + 15*w - 12. Let a(h) = h**4 - h**3 - h**2 - h + 1. Let t(c) = 12*a(c) + p(c). Let t(v) = 0. What is v?
0, 1
Let y(r) = -r**4 - r**2 + r. Let t(u) = -6*u**4 + 2*u**3 + 8*u**2 - 4*u - 16. Let d(n) = -t(n) + 4*y(n). Find b such that d(b) = 0.
-2, -1, 2
Let c be ((-81)/(-36) - 8) + 6. Factor 0 - 1/4*x**2 + 1/4*x**4 - 1/4*x + c*x**3.
x*(x - 1)*(x + 1)**2/4
Factor -3*v + 2*v - 2 - v**3 + 4*v.
-(v - 1)**2*(v + 2)
Let k be ((-4)/(-14))/(-3 - (-6 - -2)). Suppose 0 + 4/7*j**2 - k*j - 2/7*j**3 = 0. What is j?
0, 1
Let y(g) be the third derivative of -g**6/1080 - g**5/108 - g**4/108 + 4*g**3/27 + 27*g**2. Let y(p) = 0. Calculate p.
-4, -2, 1
Suppose -6*f + f - 10 = 0. Let d be 3/(-6)*f + 1. Factor 4 + 8*m**d - 10 - 5*m**2 + 3*m.
3*(m - 1)*(m + 2)
Let v(c) = c**4 + c**3 - c**2 + c + 1. Let l(x) = -6*x**4 + 45*x**3 - 60*x**2 + 15*x + 15. Let d(u) = -l(u) + 3*v(u). Factor d(r).
3*(r - 2)**2*(r - 1)*(3*r + 1)
Factor 2*n**2 - 30 + 10 + 3*n**2.
5*(n - 2)*(n + 2)
Factor -12/7 - 120/7*k - 21*k**5 - 75*k**4 - 705/7*k**3 - 435/7*k**2.
-3*(k + 1)**3*(7*k + 2)**2/7
Factor 9*p**4 + 0 + 3/2*p**5 + 39/2*p**3 + 18*p**2 + 6*p.
3*p*(p + 1)**2*(p + 2)**2/2
Suppose 2*l - 3 = 3. Let y(t) = t**5 + 2*t**3 - 3*t. Let w(c) = -2*c**5 - 3*c**3 + 5*c. Let d(p) = l*w(p) + 5*y(p). Factor d(x).
-x**3*(x - 1)*(x + 1)
Let q(b) be the first derivative of 4/15*b**3 + 3 - 2/5*b + 0*b**4 - 2/25*b**5 + 0*b**2. Determine w so that q(w) = 0.
-1, 1
Let o(z) be the third derivative of 0 + 1/60*z**5 + 0*z + 1/6*z**3 + 6*z**2 - 1/12*z**4. Factor o(i).
(i - 1)**2
Let v(m) = 3*m**3 + 2*m**3 + 1 - 2*m - 2*m**3. Let g be v(1). Factor -6*h**3 - h**3 - 2*h**g + 6*h**3.
-h**2*(h + 2)
Let c(i) = -8*i**2 + 8*i. Let s(z) = -23*z**2 + 23*z. Let n(r) = -17*c(r) + 6*s(r). Let n(o) = 0. Calculate o.
0, 1
Suppose 3*b + b = d - 6, -d - 3 = 5*b. Find u such that 2*u**d - 5 + 5 - u**3 = 0.
0, 2
Let w(h) be the second derivative of h**5/120 - h**4/72 - h**3/9 + h**2/3 + 10*h. Factor w(l).
(l - 2)*(l - 1)*(l + 2)/6
Let g(y) be the second derivative of y + 7/48*y**4 + 0 - 1/4*y**2 - 5/24*y**3. Let g(k) = 0. Calculate k.
-2/7, 1
Let l(u) be the second derivative of -u**7/560 + u**6/120 - u**5/80 + 2*u**3/3 - 3*u. Let o(k) be the second derivative of l(k). Factor o(x).
-3*x*(x - 1)**2/2
Factor 8*u**2 - 12*u**3 + 2*u**5 + 16*u - 123 + 60 