ve of -o**6/3 + 2*o**5/5 + o**4/2 - 2*o**3/3 + 4. Factor a(g).
-2*g**2*(g - 1)**2*(g + 1)
Suppose 0 = 14*t - 9*t - 80. Let m = t + -16. Factor -1/4*c**3 + 0 - 1/4*c**2 + m*c.
-c**2*(c + 1)/4
Factor 2/9 - 2/9*i + 2/9*i**3 - 2/9*i**2.
2*(i - 1)**2*(i + 1)/9
Let l(y) = -y**3 - 4*y**2 - 3*y + 4. Let j be l(-2). Let x(d) be the first derivative of -j + 7/3*d**2 + 4/9*d**3 - 4/3*d - 7/6*d**4. Solve x(k) = 0 for k.
-1, 2/7, 1
Let l(j) = j**3 - 4*j**2 - 2*j + 8. Let f be l(4). Factor 4/15*x**3 + 0*x**2 + 0 + f*x - 2/15*x**5 + 2/15*x**4.
-2*x**3*(x - 2)*(x + 1)/15
Factor 0*t - 2/11*t**4 + 0 + 12/11*t**3 - 10/11*t**2.
-2*t**2*(t - 5)*(t - 1)/11
Let q(b) be the second derivative of -b**6/900 - b**5/150 - b**4/60 + b**3/6 - 4*b. Let n(y) be the second derivative of q(y). Factor n(i).
-2*(i + 1)**2/5
Suppose 0 = 3*m + 2 - 5, -12 = -2*t + 4*m. Suppose t*g - 35 = g. Factor 10/11*f**3 + 2/11*f**2 + 6/11*f**g + 14/11*f**4 + 0*f + 0.
2*f**2*(f + 1)**2*(3*f + 1)/11
Let a be (4 + 3/(-3))/1. Find b such that -6*b**2 + 12*b**a - 3/4 - 21/4*b = 0.
-1/4, 1
Find c such that 0*c**2 + 3/2 - 3*c - 3/2*c**4 + 3*c**3 = 0.
-1, 1
Let j(s) = s**3 + 6*s**2 + 2*s + 14. Let t be j(-6). Solve 2/9*c**t - 2/9*c - 4/9 = 0.
-1, 2
Let g = -1/44890 - 24105923/314230. Let p = 77 + g. Factor p*a**5 + 2/7*a + 0 - 4/7*a**3 + 0*a**2 + 0*a**4.
2*a*(a - 1)**2*(a + 1)**2/7
Let g(q) = 3*q**2 - 4*q + 5. Let i(a) = a - 1. Let o(k) = g(k) + 6*i(k). Determine h, given that o(h) = 0.
-1, 1/3
Let c(n) = 12*n**5 - 9*n**4 + 9*n**2 - 12*n. Let k be 3/(-12) - (-7)/(-4). Let y(r) = r**5 - r**4 + r**2 - r. Let v(x) = k*c(x) + 22*y(x). Factor v(q).
-2*q*(q - 1)*(q + 1)**3
Let n(j) be the second derivative of -j**8/2240 + j**6/240 - j**4/32 - 4*j**3/3 + 3*j. Let v(q) be the second derivative of n(q). Factor v(f).
-3*(f - 1)**2*(f + 1)**2/4
Factor 0 + 0*h + 0*h**2 + 3/8*h**3 - 3/4*h**4.
-3*h**3*(2*h - 1)/8
Let c(d) be the third derivative of 0*d**4 - 3*d**2 - 1/420*d**6 + 0 + 0*d + 0*d**3 - 1/210*d**5. Let c(m) = 0. What is m?
-1, 0
Let k(l) be the second derivative of -l**5/40 + l**4/8 - l**3/6 + 7*l. Factor k(v).
-v*(v - 2)*(v - 1)/2
Factor -16/3*b - 128/3 - 1/6*b**2.
-(b + 16)**2/6
Let c(i) be the third derivative of 1/9*i**3 - 1/90*i**6 + 0*i + 0*i**5 + 0 + 2*i**2 - 1/315*i**7 + 1/18*i**4. Find f, given that c(f) = 0.
-1, 1
Let d(v) be the third derivative of v**5/20 - v**4/4 - 2*v**2. Factor d(f).
3*f*(f - 2)
Let t = 63 + -29. Let k = -135/4 + t. Factor -1/4*f + 0 + k*f**3 + 0*f**2.
f*(f - 1)*(f + 1)/4
Let s(l) be the third derivative of l**5/150 + l**4/60 - 2*l**3/15 + 7*l**2. Factor s(y).
2*(y - 1)*(y + 2)/5
Solve 3/2*w**2 + 5/2*w - 1/2*w**4 - 1/2*w**3 + 1 = 0.
-1, 2
Let y(l) = -l**3 + l**2 - l + 1. Let d(t) = -2*t**3 - 30*t**2 + 102*t - 102. Let r(w) = d(w) - 6*y(w). Factor r(o).
4*(o - 3)**3
Let l = 108 + -104. Factor -t**2 + 0 - 1/3*t**l - 1/3*t - t**3.
-t*(t + 1)**3/3
Let r(n) be the third derivative of -n**8/2520 + 11*n**7/2520 + n**6/120 - n**5/10 + 6*n**2. Let b(p) be the third derivative of r(p). Factor b(y).
-2*(y - 3)*(4*y + 1)
Let n(c) = -17*c**4 - 18*c**3 - c**2 + 8. Let k(g) = 11*g**4 + 12*g**3 + g**2 - 5. Let j(s) = 8*k(s) + 5*n(s). Factor j(u).
3*u**2*(u + 1)**2
Factor 4*h**3 + 2*h**2 + 5*h**2 - h**2 - 2*h**2.
4*h**2*(h + 1)
Let g(n) = -n**2 - 5*n - 2. Let u be g(-4). Let o(d) be the first derivative of 1/7*d**u - 1/14*d**4 - 1 + 0*d**3 + 0*d. Factor o(c).
-2*c*(c - 1)*(c + 1)/7
Suppose -5 = 3*t - 29. Factor -3*k**2 - t + 16 - 5.
-3*(k - 1)*(k + 1)
Factor -28*h**2 + 9 + h**4 + 50*h**2 - 3*h**3 - 5*h**3 - 24*h.
(h - 3)**2*(h - 1)**2
Suppose 3*k = 0, 2*k + 1 = -5*m + 11. Determine t, given that 0*t**2 + 3*t**2 + m*t**2 - 4*t**2 = 0.
0
Suppose 5*t + 5 = 5*w, t + t = 4*w - 4. Find j, given that 1/3*j**2 - 1/3*j**4 + t*j - 1/3*j**5 + 0 + 1/3*j**3 = 0.
-1, 0, 1
Suppose 0 = 5*r - 88 - 32. Let t be r/15*15/6. Find w such that 22/7*w + 32/7*w**3 - 128/7*w**t + 72/7*w**2 + 2/7 = 0.
-1/4, 1
Let v(t) = t - 2. Let n be v(4). Let o(m) be the second derivative of -5/21*m**6 - n*m + 0*m**2 - 9/14*m**5 - 4/7*m**4 - 4/21*m**3 + 0. Factor o(i).
-2*i*(i + 1)*(5*i + 2)**2/7
Factor 15*y**2 - y - 9*y + 21*y**2 + 2*y + 12*y**4 - 40*y**3.
4*y*(y - 2)*(y - 1)*(3*y - 1)
Suppose z - 19 = -3*g - 4, 3*z - 5*g + 25 = 0. Let u(p) be the second derivative of 0*p**5 + 1/60*p**6 + 0 + 0*p**4 + z*p**3 - 3*p + 0*p**2. Factor u(o).
o**4/2
Let i be (161/(-5))/(-7) - 4. Factor -i - 9/5*y**2 - 3/5*y**3 - 9/5*y.
-3*(y + 1)**3/5
Suppose -3*w = -8*w + 15. What is p in 7*p - 5*p**2 - 23*p + 9 + 13*p - p**w = 0?
-3, 1
Let t = 7026/19 + -370. Let h = 26/57 - t. Determine s, given that 0*s**2 - 1/3 + 1/3*s**4 - 2/3*s**3 + h*s = 0.
-1, 1
Suppose 18 - 48 = -d + 5*z, 45 = 2*d + 5*z. Suppose -4*j - j = -d, -2*p = -4*j + 20. Find a such that -2/7*a**5 + 2/7*a**3 + 2/7*a**2 + 0 - 2/7*a**4 + p*a = 0.
-1, 0, 1
Let u(a) = 3*a**2 + 12*a - 10. Let h be u(8). Factor -h*t**2 - 76 + 83*t + 173*t - 102*t**2 + 28 + 100*t**3.
4*(t - 3)*(5*t - 2)**2
Suppose -3*l - 1 + 25 = 0. Suppose 0 = -3*r + 5*r - l, -4*t + 24 = 3*r. Determine h, given that 8/3*h**5 - 2/3*h + 8/3*h**2 - 2*h**t - 8/3*h**4 + 0 = 0.
-1, 0, 1/2, 1
Let l(p) be the first derivative of -p**4/2 - 2*p**3/3 + 6*p**2 - 33. Factor l(x).
-2*x*(x - 2)*(x + 3)
Let j = 21 + -19. Let 2 + z**2 - 16*z - 5*z**j - 18 = 0. What is z?
-2
Let q(k) = k - 9. Let w(d) = 2*d - 11. Let p be w(11). Let i be q(p). Solve i + 1/2*f**2 + 2*f = 0.
-2
Let h be -6*12/16*(-4)/6. Let m(y) be the first derivative of 1 + 0*y**h - 1/9*y**2 + 0*y + 1/18*y**4. Determine d, given that m(d) = 0.
-1, 0, 1
Let l(a) be the second derivative of -3*a**5/100 - a**4/5 - a**3/2 - 3*a**2/5 + a + 12. Solve l(s) = 0.
-2, -1
Let u(o) = 4*o**2 - 1. Let n be u(1). Let b(q) be the first derivative of 1/15*q**6 + 4/25*q**5 - 1/5*q**2 + 0*q**4 + 0*q - 4/15*q**n + 1. Factor b(z).
2*z*(z - 1)*(z + 1)**3/5
Suppose o - 33 = -0*o. Let c(y) = -29*y**3 + 77*y**2 - 34*y - 12. Let k(q) = 465*q**3 - 1233*q**2 + 543*q + 192. Let r(h) = o*c(h) + 2*k(h). Factor r(b).
-3*(b - 2)*(b - 1)*(9*b + 2)
Let 0 + 0*i - 3/2*i**5 - 5/2*i**3 + 7/2*i**4 + 1/2*i**2 = 0. Calculate i.
0, 1/3, 1
Factor 10 + 2*p**2 - 10 + 0 - 12*p.
2*p*(p - 6)
Let l(r) be the second derivative of 0*r**2 + 0*r**3 - r + 0 - 3/20*r**5 + 0*r**4. Factor l(j).
-3*j**3
Factor 0*w + 1/2*w**4 + 0 + 1/2*w**2 + w**3.
w**2*(w + 1)**2/2
Let i(o) = -8 - 33*o + 15*o**3 - 14*o - 150*o**2 - 15*o - 142*o**3. Let k(t) = 0*t**3 - 2*t + t - t**3. Let q(y) = i(y) - 2*k(y). Factor q(r).
-(5*r + 2)**3
Suppose 7*y = 5*y + 10. Let t = y - 5. Factor 1/3*v**2 - 2/3*v + t.
v*(v - 2)/3
Suppose 64 = -2*y - 3*f, 2*f + f - 118 = 5*y. Let b be (-39)/(-91) + y/(-70). Let -2*a**2 + 0 + b*a - 14/5*a**3 = 0. What is a?
-1, 0, 2/7
Suppose 52*p - 5 - 203 = 0. Factor -1/8*k**2 + 0 - 1/4*k**3 - 1/8*k**p + 0*k.
-k**2*(k + 1)**2/8
Factor 16*d**3 - 13*d**4 + 196*d**5 - 51*d**4 - 48*d**4.
4*d**3*(7*d - 2)**2
Suppose 5*w = -4*m - 2, 0*w - 2*w - 14 = -5*m. Let j(f) = -f**2 + f. Let b(u) = -u**3 - 2*u**2 + 2*u. Let o(l) = w*j(l) + 3*b(l). Factor o(v).
-v*(v + 2)*(3*v - 2)
Let d = 17 - 7. Suppose d = 4*v - 2. Factor 11/3*c**2 + 4/3 + 4*c + c**v.
(c + 1)*(c + 2)*(3*c + 2)/3
Let n = 367 - 363. Factor 0 + 0*z + 2/5*z**n - 4/5*z**3 + 2/5*z**2.
2*z**2*(z - 1)**2/5
Let y(x) = x**2 - x + 1. Let b(n) = -4*n**2 + 8*n - 3. Let j(i) = b(i) + 5*y(i). Let u be j(-3). Solve 6*d - d**2 - 5*d + u*d**2 = 0.
-1, 0
Let z(n) be the third derivative of n**7/210 - n**6/45 - 2*n**5/15 + 4*n**4/3 - n**3 + n**2. Let g(m) be the first derivative of z(m). What is s in g(s) = 0?
-2, 2
Let b be 16/(-6)*(-21)/28. Let w = -7/5 - -26/15. Suppose -1/3 + 1/3*m + 1/3*m**b - w*m**3 = 0. Calculate m.
-1, 1
Let p = 409 - 14723/36. Let l(f) be the third derivative of 1/90*f**7 + 0 - p*f**4 + 2*f**2 + 1/180*f**6 + 0*f**3 + 0*f - 7/180*f**5. Solve l(h) = 0.
-1, -2/7, 0, 1
Let p(c) be the second derivative of 2*c - 1/60*c**5 + 0 - 2/3*c**3 - 1/6*c**4 + c**2. Let l(i) be the first derivative of p(i). Factor l(t).
-(t + 2)**2
Suppose -5*w = -5*l - 145, 5*w - 5*l = w + 113. Suppose -4*t + 15 = c + 4, -3*t + w = -4*c. Factor 0 + 0*n + 0*n**3 + 0*n**2 + 1/3*n**t.
n**4/3
Let a be 3/((-36)/(-50)) - 4. Let k(n) be the first derivative of 1 + 0*n + 0*n**2 + a*n**4 - 2/9*n**3. Factor k(t