ctor 0 + 2/3*u - 1/3*u**2.
-u*(u - 2)/3
Let s = 2304/17 + -119043/884. Let j = s + -3/26. Determine t so that -3/2*t**4 - 3/2 - 3/2*t**3 + j*t**5 + 3*t**2 + 3/4*t = 0.
-1, 1, 2
Let -1/3*f + 1/3 - 1/3*f**2 + 1/3*f**3 = 0. Calculate f.
-1, 1
Factor 1/2*j**2 - 3/2*j - 1 + 3/2*j**3 + 1/2*j**4.
(j - 1)*(j + 1)**2*(j + 2)/2
Let w(t) = -t**4 + t**3 - t**2. Let p(h) = h**3. Let m be p(-1). Let z(y) = y**4 - 6*y**3 + 4*y**2 + 3*y + 1. Let o(d) = m*z(d) - 3*w(d). Factor o(j).
(j - 1)*(j + 1)**2*(2*j + 1)
Suppose 0 + 18/5*i + 9/5*i**3 - 57/5*i**2 = 0. Calculate i.
0, 1/3, 6
Factor -o**2 + 10*o - 8*o + 8 + 5*o**2 + 10*o.
4*(o + 1)*(o + 2)
Suppose 2*y = -2*y + 32. Let w be 2 - ((-36)/y)/(-3). Factor -1/2*t - 1/2 + w*t**2 + 1/2*t**3.
(t - 1)*(t + 1)**2/2
Let c(l) be the third derivative of l**5/160 - 5*l**4/64 + l**3/4 + 3*l**2. Factor c(s).
3*(s - 4)*(s - 1)/8
Let h(t) be the second derivative of 1/147*t**7 - 1/35*t**6 - 1/42*t**4 + 0*t**3 + 0 + 0*t**2 + 2*t + 3/70*t**5. Factor h(y).
2*y**2*(y - 1)**3/7
Let h = 16 + -11. Suppose 4*j - 24 = -4*v, j - 5 - 13 = -h*v. Factor -2*a**2 - a**j + 3*a**3 - 6*a**3 + 6*a**4.
2*a**2*(a - 1)*(3*a + 1)
Let l(t) be the third derivative of -t**8/1176 - 2*t**7/735 - t**6/420 - 7*t**2. Factor l(q).
-2*q**3*(q + 1)**2/7
Let i(b) be the second derivative of b**6/45 - b**5/60 - 2*b**3/3 - 2*b. Let f(u) be the second derivative of i(u). Factor f(q).
2*q*(4*q - 1)
Let a = -2/123 + 15/82. Let t(h) be the first derivative of 1/8*h**4 - 1/4*h**2 - a*h**3 + 1/2*h + 2. Factor t(m).
(m - 1)**2*(m + 1)/2
Let f(u) = 2*u - 62. Let v be f(32). Factor 8/5*a**v + 4/5 - 2/5*a**3 - 2*a.
-2*(a - 2)*(a - 1)**2/5
Factor 4/9*g + 0 + 2/9*g**3 - 2/3*g**2.
2*g*(g - 2)*(g - 1)/9
Solve -2/17*c**4 - 6/17*c**3 + 8/17*c + 0 + 0*c**2 = 0 for c.
-2, 0, 1
Suppose -9 = -6*g + 5*g. Suppose 2*k = -k + g. Factor 4*o**2 - 2 + 2*o**5 + 4*o**k + 2 - 6*o - 6*o**4 + 2.
2*(o - 1)**4*(o + 1)
Let i(g) be the second derivative of -1/8*g**2 + 1/48*g**4 + 0*g**3 - 4*g + 0. Factor i(l).
(l - 1)*(l + 1)/4
Let h(k) = -k**5 + k**4 + k**3 + 1. Let c(j) = -20*j**4 - 20*j**3 - 5*j**2 - 5. Let r(p) = c(p) + 5*h(p). Solve r(i) = 0 for i.
-1, 0
Let a(d) be the first derivative of -d**3 - 1 + 1/2*d**2 + 0*d - 3/10*d**5 + 13/16*d**4 + 1/24*d**6. Factor a(y).
y*(y - 2)**2*(y - 1)**2/4
Solve -24 + 4*x**3 - 7*x**4 + 14*x + 10*x**4 + 18*x**2 - 2*x - 19*x**3 = 0.
-1, 2
Let c(z) be the third derivative of 0*z**3 + 0*z + 0*z**5 + 0 - 1/100*z**6 + 0*z**7 + 1/40*z**4 + 2*z**2 + 1/560*z**8. Factor c(u).
3*u*(u - 1)**2*(u + 1)**2/5
Let l(w) = -w + 11. Let g be l(7). Suppose 5*n - g*x = -x + 41, -2*x + 24 = 4*n. Factor 2*y - n*y**4 + 5*y**2 + y**2 + y**4 - 2*y**3.
-2*y*(y - 1)*(y + 1)*(3*y + 1)
Let m be (0/(-2))/(-2 - -1). Let a = 2 - m. Factor 2*x**2 - 3*x**3 - x - 7*x**2 - x**4 + 2*x**a.
-x*(x + 1)**3
Let i(k) be the third derivative of -1/210*k**7 - 1/6*k**3 + 0*k - 1/30*k**6 + 0 - 1/10*k**5 + 2*k**2 - 1/6*k**4. Determine q so that i(q) = 0.
-1
Let i(k) be the second derivative of -1/20*k**5 + 0*k**3 + 0*k**4 + 3*k + 0*k**2 + 0 + 1/30*k**6. Factor i(m).
m**3*(m - 1)
Let q(w) = -w**3 + 5*w**2 + 2. Let l(z) = -5*z**2 + z - 3. Let g = -21 - -13. Let y be ((-5)/(5/g))/2. Let k(f) = y*l(f) + 6*q(f). Factor k(t).
-2*t*(t - 2)*(3*t + 1)
Suppose -71 = 3*j + 10. Let o be (-33)/j + 4/(-18). Factor 4 - 5 + 2*d**2 - o.
2*(d - 1)*(d + 1)
Let z be (-6)/2 - -6 - 1. Let v(m) be the first derivative of -2/9*m**3 - 2 + 0*m + 0*m**z. Factor v(c).
-2*c**2/3
Let w = -36 + 40. Let z(j) be the first derivative of -1/4*j**2 - 3 + 1/16*j**w + 0*j + 1/12*j**3. Solve z(h) = 0.
-2, 0, 1
Let i(r) = -r**3 + 8*r**2 + 8*r + 13. Let l be i(9). Suppose -o**l - 3/2*o**3 - 1/2*o**2 + 0 + 0*o = 0. What is o?
-1, -1/2, 0
Solve 0*i - i - 5*i - 2*i**3 - 2 - 6*i**2 + 0*i**3 = 0 for i.
-1
Suppose 2*c - k = 3*c - 1, -c = -5*k - 19. Find w, given that 6*w**5 + w**c - 5*w**5 - w**4 - w**3 = 0.
-1, 0, 1
Let a(l) = 7*l + 1. Let g = 1 + -5. Let h(i) = -i**2 + 8*i + 1. Let t(p) = g*a(p) + 3*h(p). Factor t(x).
-(x + 1)*(3*x + 1)
Let x(n) = n + 10. Let s be x(-6). Let u = -702 + 702. Find h, given that 6/5*h**s + 0*h + 0*h**2 - 4/5*h**3 + 2*h**5 + u = 0.
-1, 0, 2/5
Let p = -177 + 10621/60. Let q(y) be the third derivative of 1/30*y**5 - 1/105*y**7 + 0*y + 0*y**3 - p*y**6 + 0 + 1/12*y**4 - 4*y**2. Factor q(l).
-2*l*(l - 1)*(l + 1)**2
Let d(r) be the third derivative of r**8/72 - 53*r**7/630 + 7*r**6/72 + 5*r**5/18 - 11*r**4/18 + 4*r**3/9 - 13*r**2. Let d(h) = 0. Calculate h.
-1, 2/7, 1/2, 2
Suppose 3*l - 6 = -2*s + 3, 2*s + l = 3. Factor s + 2/9*a**3 - 2/9*a**4 - 2/9*a**5 + 2/9*a**2 + 0*a.
-2*a**2*(a - 1)*(a + 1)**2/9
Let t(c) be the first derivative of -c**3 - 1/540*c**6 - 1/36*c**4 + 1 + 1/90*c**5 + 0*c + 0*c**2. Let j(a) be the third derivative of t(a). Factor j(n).
-2*(n - 1)**2/3
Find t such that -4*t**5 - 1607*t**2 + 8*t - 2*t**3 + 12*t**4 - 2*t**3 + 1595*t**2 = 0.
-1, 0, 1, 2
Let n(m) be the first derivative of -1/2*m - 21/8*m**6 + 19/8*m**4 - 2*m**3 - 4 - 15/8*m**2 + 33/10*m**5. Solve n(x) = 0 for x.
-1/3, -2/7, 1
Factor -72/7 - 2/7*f**2 + 24/7*f.
-2*(f - 6)**2/7
Let a(b) be the first derivative of 1/9*b**3 + 1 + 1/3*b**2 + 0*b. Suppose a(m) = 0. Calculate m.
-2, 0
Solve -26/11*a**2 - 2*a - 4/11 - 8/11*a**3 = 0.
-2, -1, -1/4
Let j(d) = 6*d**5 + 3*d + 3. Let s = -9 - -6. Let f(b) = -5*b**5 + b**4 + b**3 - b**2 - 2*b - 2. Let w(y) = s*f(y) - 2*j(y). Determine z, given that w(z) = 0.
-1, 0, 1
Let a(o) = 3*o**2 + 3*o - 4. Let h(t) = 7*t**2 + 7*t - 9. Let k(j) = -9*a(j) + 4*h(j). Let k(r) = 0. What is r?
-1, 0
Suppose 0 = -2*g + 4*v + 32 + 2, 6 = -2*g - 4*v. Let r be 2/1 + 2 + 0. Factor g*q**2 + 8*q**4 - 11*q**4 - 9*q**4 - 9*q**3 - r*q**2.
-3*q**2*(q + 1)*(4*q - 1)
Let w(n) be the third derivative of n**8/33600 - n**7/4200 + n**5/10 - 7*n**2. Let h(o) be the third derivative of w(o). Suppose h(j) = 0. What is j?
0, 2
Let o(z) be the first derivative of -z**4/6 + z - 3. Let a(h) be the first derivative of o(h). Factor a(r).
-2*r**2
Let v(h) be the third derivative of -h**5/15 + 5*h**4/3 - 50*h**3/3 - 9*h**2. What is t in v(t) = 0?
5
Let b(s) be the first derivative of -7*s**4/12 + 11*s**3/12 - s**2/2 + s - 7. Let r(g) be the first derivative of b(g). Factor r(d).
-(2*d - 1)*(7*d - 2)/2
Let x(s) be the third derivative of -s**7/105 - s**6/120 - s**3/3 - 2*s**2. Let l(f) = 7*f**4 + 4*f**3 + 9. Let p(n) = 2*l(n) + 9*x(n). Factor p(v).
-v**3*(4*v + 1)
Let z be 12 + (-1 - 1) + 3. Suppose 0 = 2*j - 17 + z. Factor -18/5*c**5 + 2/5*c**2 + 0*c + 6/5*c**4 + 0 + j*c**3.
-2*c**2*(c - 1)*(3*c + 1)**2/5
Let g(q) = -3*q**2 - 10*q - 18. Let a(m) = m**2 + m + 1. Let i(x) = 6*a(x) + 3*g(x). Factor i(o).
-3*(o + 4)**2
Let h(u) be the third derivative of u**5/180 + u**4/72 - u**3/3 + 6*u**2. Suppose h(f) = 0. Calculate f.
-3, 2
Suppose 3*t + 6 = 0, t = 4*h - 0*h - 10. Let i(u) be the first derivative of -5/8*u**h + 1/4*u - 1 + 1/10*u**5 + 3/4*u**3 - 7/16*u**4. Factor i(p).
(p - 1)**3*(2*p - 1)/4
Let d = -235 + 136. Let s be (-40)/d - 10/45. Factor 2/11*p - s + 2/11*p**2 - 2/11*p**3.
-2*(p - 1)**2*(p + 1)/11
Let n(z) be the second derivative of 0*z**2 + 9/160*z**5 + 1/336*z**7 + 1/24*z**3 + 0 + 2*z - 7/96*z**4 - 1/48*z**6. Factor n(u).
u*(u - 2)*(u - 1)**3/8
Factor 0*o + 0 + 0*o**3 - 4/7*o**5 - 12/7*o**4 + 16/7*o**2.
-4*o**2*(o - 1)*(o + 2)**2/7
Let h = -394 + 394. Solve -3/4*p**5 - 7*p**2 + h - 17/2*p**3 - 17/4*p**4 - 2*p = 0.
-2, -1, -2/3, 0
Let f(b) be the third derivative of 2*b**9/2835 - b**8/420 + b**7/420 - b**6/1080 + b**4/12 - 2*b**2. Let n(c) be the second derivative of f(c). Factor n(p).
2*p*(p - 1)*(4*p - 1)**2/3
Let f(j) be the third derivative of j**6/540 - j**5/54 + 2*j**4/27 - 4*j**3/27 + 10*j**2. Factor f(r).
2*(r - 2)**2*(r - 1)/9
Let t = 298/9 + -33. Let s(o) be the first derivative of -1/4*o**4 - 1/18*o**6 + 0*o**2 - t*o**3 - 1/5*o**5 - 2 + 0*o. Factor s(d).
-d**2*(d + 1)**3/3
Let i be (7 + -3)*(91/14 + -6). Factor 0 + 0*y + 2/9*y**i.
2*y**2/9
Factor -2/13*n**3 - 24/13*n - 16/13 - 12/13*n**2.
-2*(n + 2)**3/13
Let i = 427/282 + -2/141. Let y(b) be the first derivative of -17/3*b**3 + 2 + 21/5*b**5 + 8*b**2 - 4*b - i*b**6 - 7/4*b**4. Determine j, given that y(j) = 0.
-1, 2/3, 1
Let l(c) be the first derivative of c**4/30 + c**3/5 + 2*c**2/5