14/3*y**p - 14/3*y - 4/3*y**2 + 4/3.
2*(y - 1)*(y + 1)*(7*y - 2)/3
Let v = 5 + -4. Suppose 3 = a + v. Factor -2*m**a - 2*m + 9*m**3 - 5*m**4 - m**3 + m**2.
-m*(m - 1)**2*(5*m + 2)
Let a(t) be the first derivative of -t**7/420 - t**6/90 + t**5/60 + t**4/6 + t**3 - 2. Let z(k) be the third derivative of a(k). Factor z(g).
-2*(g - 1)*(g + 1)*(g + 2)
Let x(f) be the third derivative of -f**9/120960 + f**8/40320 - f**5/10 - 3*f**2. Let k(h) be the third derivative of x(h). Solve k(u) = 0 for u.
0, 1
Suppose 5*v = 8*v. Find n, given that -4/7*n**2 + 2/7 + v*n + 2/7*n**4 + 0*n**3 = 0.
-1, 1
Factor -3*m**2 - 1/3*m**4 - 7/3*m - 5/3*m**3 - 2/3.
-(m + 1)**3*(m + 2)/3
Let c(m) = 4*m**3 + 6*m**2 + 3*m - 3. Let o(z) = -23*z**3 - 35*z**2 - 17*z + 17. Let i(n) = -34*c(n) - 6*o(n). Factor i(a).
2*a**2*(a + 3)
Factor 13*r**3 + 3*r**2 - 8*r**3 - 3*r**4 + 6*r - 11*r**3.
-3*r*(r - 1)*(r + 1)*(r + 2)
Let t(d) be the second derivative of d**8/1176 + 2*d**7/735 + d**6/420 + 3*d**2/2 - 3*d. Let z(c) be the first derivative of t(c). Factor z(o).
2*o**3*(o + 1)**2/7
Let b(c) be the first derivative of 5*c**4/4 + 5*c**3/3 + 1. Factor b(i).
5*i**2*(i + 1)
Factor -8/9*z - 8/9*z**3 - 2/9 - 4/3*z**2 - 2/9*z**4.
-2*(z + 1)**4/9
Let r(i) be the third derivative of i**8/84 - 4*i**7/105 + 2*i**5/15 - i**4/6 - 7*i**2. Find z, given that r(z) = 0.
-1, 0, 1
Let t(s) be the second derivative of -s**4 - 3*s + 0*s**2 + 9/10*s**5 - 4/15*s**6 + 0 + 1/3*s**3. Let t(v) = 0. What is v?
0, 1/4, 1
Determine k, given that 0*k**2 - 4*k**4 + 16*k**3 + 4*k**2 + 234*k**5 - 250*k**5 = 0.
-1, -1/4, 0, 1
Let d be ((-10)/20)/(6/(-8)). Factor 0*r + 2/3*r**2 + 0 - 4/3*r**3 + d*r**4.
2*r**2*(r - 1)**2/3
Suppose -6 = 3*c - 18. Suppose 0 - 2/3*y + 3*y**3 - 7/3*y**5 + 5/3*y**c - 5/3*y**2 = 0. What is y?
-1, -2/7, 0, 1
Let b = -1/1830 + 67/10980. Let c(u) be the third derivative of 0*u - 1/72*u**4 + 0*u**3 + 2*u**2 + b*u**5 + 0. Find a such that c(a) = 0.
0, 1
Let a(b) = 48*b - 11. Let z be a(9). Let r = z + -1643/4. Let -1/2 + r*l**3 - 5/4*l + 21/4*l**4 + 17/4*l**2 = 0. Calculate l.
-1, -2/7, 1/3
Let d(g) be the third derivative of -g**7/210 + g**6/60 - g**5/60 + 3*g**2 + 2*g. Suppose d(x) = 0. What is x?
0, 1
Let l(v) = 4*v**3 - v**2. Let m = -2 - -3. Let i be l(m). Suppose -2*n**4 + 3*n**4 + i*n**4 + 5*n**3 + n**2 = 0. What is n?
-1, -1/4, 0
Let y(u) be the second derivative of -u**5/60 + u**4/12 - u**3/6 - 5*u**2/2 + 4*u. Let f(g) be the first derivative of y(g). Factor f(d).
-(d - 1)**2
Solve -2/3*l**3 + 2/3*l + 2/3*l**2 - 2/3 = 0.
-1, 1
Suppose 0*o - 35 = -5*o. Suppose 0 = 3*s - o - 2. Find d, given that -1/3*d**5 + 0 + 1/3*d**4 + 0*d + 0*d**2 + 0*d**s = 0.
0, 1
Suppose 3 + 3/2*x**3 + 9/2*x**2 - 3/2*x**4 - 15/2*x = 0. Calculate x.
-2, 1
Let d be (-88)/(-14) + (-2)/7. Let z be (-2)/(-6) + 10/d. Find f, given that -z*f**2 + f**2 + 3*f**2 - 2*f**3 = 0.
0, 1
Let y(u) be the first derivative of -u**4/12 - u**3/9 + u**2/6 + u/3 + 25. Factor y(a).
-(a - 1)*(a + 1)**2/3
Solve 7/3*g**2 + 0 + 2/3*g = 0.
-2/7, 0
Factor -18/5*y + 12/5*y**4 - 4/5*y**2 - 8/5 + 16/5*y**3 + 2/5*y**5.
2*(y - 1)*(y + 1)**3*(y + 4)/5
Let c be -2 - ((-4)/(-1))/(-1). Determine j so that -2/7*j**3 + 4/7*j**4 + 2/7*j + 2/7 - 6/7*j**c = 0.
-1, -1/2, 1
Let l be (-26)/(-6) - (-6)/9. Suppose -l*g + 5 = -5. Factor -2*p**2 + 4 - p**2 + g*p**3 - p**3.
(p - 2)**2*(p + 1)
Find x, given that -5 - 12*x**2 + 3*x**3 - 6*x**3 - 1 + 3*x + 18*x**2 = 0.
-1, 1, 2
Let o(y) be the first derivative of y**7/210 + y**6/90 + 2*y**3 + 1. Let t(x) be the third derivative of o(x). Let t(m) = 0. Calculate m.
-1, 0
Let f(m) = m**3 - 1 + 65*m**2 - 65*m**2 + m. Let a(v) = 3*v**4 - 3*v**3 + 9*v - 6. Let r(p) = a(p) - 3*f(p). Factor r(d).
3*(d - 1)**3*(d + 1)
Let n = -293485/7 + 42130. Let h = -203 + n. Factor h*p + 6/7*p**3 - 10/7*p**2 + 0.
2*p*(p - 1)*(3*p - 2)/7
Let y be 12/30*(-5)/(-7). Factor -4/7*z**3 + y + 2/7*z**4 + 2/7*z**5 - 4/7*z**2 + 2/7*z.
2*(z - 1)**2*(z + 1)**3/7
Let h(j) = -9*j**3 - 11*j**2 - 3*j. Let r(l) = -l**5 + l**4 + l. Let z(a) = -2*h(a) + 2*r(a). Suppose z(q) = 0. Calculate q.
-1, 0, 4
Let d(l) be the first derivative of 3*l**5/5 + 3*l**4/2 + l**3 + 9. Suppose d(t) = 0. Calculate t.
-1, 0
Factor 4*m**3 + 4*m**4 - 3*m**4 + m**2 - 2*m**3.
m**2*(m + 1)**2
Let t(i) be the first derivative of 1/12*i**6 - 5 - 1/3*i**3 + 1/4*i**2 - 1/4*i**4 + 1/10*i**5 + 1/2*i. Let t(m) = 0. What is m?
-1, 1
Let i(x) = -7*x**2 - 5*x + 7. Let k(o) = 4*o**2 - 4*o**2 + 4*o**2 + 3*o - 4. Let w = 8 + -5. Let a(h) = w*i(h) + 5*k(h). Factor a(b).
-(b - 1)*(b + 1)
Suppose 0 = -c + 249 - 245. Let 9/5*z + 11/5*z**3 + 3/5*z**c + 3*z**2 + 2/5 = 0. Calculate z.
-1, -2/3
Let h be (-1)/5 + 459/495. Factor h*c - 6/11*c**2 + 8/11.
-2*(c - 2)*(3*c + 2)/11
Let x(k) be the third derivative of 1/168*k**8 + 0 + 0*k + 0*k**7 - 3*k**2 - 1/30*k**6 + 1/12*k**4 + 0*k**3 + 0*k**5. Factor x(v).
2*v*(v - 1)**2*(v + 1)**2
Factor 1/5*x + 2/5*x**2 + 1/5*x**3 + 0.
x*(x + 1)**2/5
Let p be 10/12 + (-1)/6. Let v be (-6)/9*-1 - 0. Find w, given that -v*w**2 + 0 + p*w = 0.
0, 1
Let i(f) = -f**3 - f**2 + 1. Suppose -1 - 1 = -2*h. Let a(o) = -5*o**3 - 2*o**2 + 12*o + 2. Let n(s) = h*a(s) - 2*i(s). What is c in n(c) = 0?
-2, 0, 2
Suppose 0 = -5*y - 3*u + 21, 3*u = y - 0 + 3. Let -3*g**3 - 2*g**2 + 3 + 3*g - y*g**2 - g**2 + 3*g**2 = 0. What is g?
-1, 1
Let p = -704 - -707. Factor 2/13*i**5 - 2/13*i**4 + 4/13*i**2 - 4/13*i**p + 2/13*i - 2/13.
2*(i - 1)**3*(i + 1)**2/13
Let x(p) be the first derivative of -p**6/1800 - p**5/600 + p**4/60 + 5*p**3/3 + 2. Let a(j) be the third derivative of x(j). Factor a(q).
-(q - 1)*(q + 2)/5
Let w = 29 + -29. Let f(i) be the third derivative of 0*i**3 + 1/300*i**6 + 0 + 0*i**5 - 1/60*i**4 + 2*i**2 + w*i. Factor f(h).
2*h*(h - 1)*(h + 1)/5
Let m(g) be the first derivative of -2*g**3/3 - 8*g**2 + 32. Factor m(i).
-2*i*(i + 8)
Let v(r) = -2*r**2 + 8. Let x(d) = d**2 - 4. Let h(q) = -3*v(q) - 5*x(q). Let h(i) = 0. Calculate i.
-2, 2
Let p(j) be the second derivative of -1/18*j**4 - 2*j + 2/9*j**3 - 1/3*j**2 + 0. Factor p(w).
-2*(w - 1)**2/3
Let z(p) be the first derivative of p**6/15 - 2*p**5/25 - 3*p**4/10 + 2*p**3/15 + 2*p**2/5 + 2. Solve z(k) = 0.
-1, 0, 1, 2
Let q(s) be the first derivative of -2*s**3/21 - 2*s**2/7 + 24. Solve q(m) = 0 for m.
-2, 0
Factor 8*g**4 - 2*g**5 - 18*g - 3*g**3 - g**3 + 4*g**4 - 24*g**3 + 4 + 32*g**2.
-2*(g - 2)*(g - 1)**4
Let a(l) be the third derivative of l**9/5040 - l**7/420 + l**5/40 + l**4/12 + 3*l**2. Let i(q) be the second derivative of a(q). Factor i(f).
3*(f - 1)**2*(f + 1)**2
Let c(v) be the first derivative of v**6/180 + v**5/60 + v**3/3 - 1. Let g(w) be the third derivative of c(w). Suppose g(l) = 0. What is l?
-1, 0
Let r(p) be the third derivative of -p**6/60 - p**5/30 + p**4/3 + 4*p**3/3 - 17*p**2. Factor r(l).
-2*(l - 2)*(l + 1)*(l + 2)
Determine y so that -8/7*y**2 + 0 + 0*y - 8/7*y**3 - 2/7*y**4 = 0.
-2, 0
Suppose -2*z + 18 = 6*p - p, 3*z - 14 = -p. Determine f so that 0 + 0*f**4 + 1/2*f**3 + 0*f + 0*f**p - 1/2*f**5 = 0.
-1, 0, 1
Suppose 4*d = -j - 5, 0 = j + 7*d - 2*d + 7. Suppose 5*p - 7 = j. Factor 6/5 + 3/5*h - 3/5*h**p.
-3*(h - 2)*(h + 1)/5
Let z(j) be the second derivative of -j**7/42 - 2*j**6/15 - 3*j**5/10 - j**4/3 - j**3/6 - 3*j. Solve z(t) = 0.
-1, 0
Let m(r) be the first derivative of r**4/16 - r**3/12 - r**2/8 + r/4 - 2. Factor m(g).
(g - 1)**2*(g + 1)/4
Let d be (-6)/(-8) - (-25)/(-60). Factor -k**2 - d*k**3 + 2/3*k**4 + 1/3*k + 1/3.
(k - 1)**2*(k + 1)*(2*k + 1)/3
Suppose 4*p + 3*p = 0. Let n(l) be the second derivative of -1/24*l**4 + 1/60*l**6 + 0 - 2*l + p*l**3 + 0*l**5 + 0*l**2. Suppose n(d) = 0. What is d?
-1, 0, 1
Suppose -13 - 2 = -5*l. Solve 5*r**5 + 2*r**5 + r**l - r**2 + r**4 - 8*r**5 = 0.
-1, 0, 1
Let v(k) = -4*k + 52. Let o be v(12). Let p(d) be the second derivative of 1/60*d**5 - o*d + 1/36*d**4 + 0*d**2 + 0 + 0*d**3. What is l in p(l) = 0?
-1, 0
Let b(p) be the second derivative of 1/12*p**3 - 1/24*p**4 - 1/40*p**5 + 0 + 0*p**2 + p + 1/60*p**6. Factor b(u).
u*(u - 1)**2*(u + 1)/2
Let g(j) be the first derivative of 4*j**3/3 - 6*j**2 + 8*j + 10. Factor g(o).
4*(o - 2)*(o - 1)
Let w = -7 - -9. Let x(h) be the third derivative of -1/6*h**3 + 1/120*h**6 - 1/24*h**4 + 0*h + 0 + 1/60*h**5 + h**w. Factor x(l).
(l 