+ 3*c**h - 2*c + 5*c**2.
c*(c - 1)**2*(c + 1)*(3*c - 2)
Suppose 0 = -4*j + 7 + 1. Factor -5*k**j + 1 - 3 - 5*k - 2*k.
-(k + 1)*(5*k + 2)
Let l = 7 + -5. Factor -h + h**2 - h**3 - 4*h**2 + 2*h**2 - h**l.
-h*(h + 1)**2
Let q(i) = -2*i**3 - 6*i**2 - 4*i - 4. Let t(h) = 2*h**3 + 6*h**2 + 3*h + 5. Let f(u) = -6*q(u) - 4*t(u). Factor f(s).
4*(s + 1)**3
Suppose 25 = 8*m + 9. Determine s so that 3/4*s**m + 1/4*s + 1/4*s**4 + 3/4*s**3 + 0 = 0.
-1, 0
Let f = -64 + 22. Let c be (-1)/39 + (-14)/f. Determine u, given that 2/13*u - 2/13*u**5 + c*u**2 + 0 + 0*u**3 - 4/13*u**4 = 0.
-1, 0, 1
Factor 1/2*s - 1/6*s**3 - 2/3*s**2 + 3.
-(s - 2)*(s + 3)**2/6
Let s(m) be the third derivative of -m**8/40320 + m**6/1440 - m**5/30 + 2*m**2. Let l(f) be the third derivative of s(f). Find z such that l(z) = 0.
-1, 1
Factor 5*f + 4*f**2 - 9*f + 0*f**2.
4*f*(f - 1)
Let i(x) = 4*x**3 - 2*x - 2. Let s(g) = -9*g**3 - g**2 + 5*g + 5. Let j(r) = 5*i(r) + 2*s(r). Factor j(c).
2*c**2*(c - 1)
Let x(c) be the second derivative of c**6/10 + 12*c**5/5 + 23*c**4/2 - 72*c**3 + 243*c**2/2 - 19*c. Solve x(u) = 0.
-9, 1
Suppose -20 = -5*j + j. Let o(z) be the third derivative of -1/15*z**6 + 3/10*z**j + 0 - 1/2*z**4 - 4*z**2 + 1/3*z**3 + 0*z. Factor o(p).
-2*(p - 1)**2*(4*p - 1)
Suppose 0 = 15*v - 11*v - 8. Determine c, given that -6/7*c**3 - 2/7*c**v + 0*c + 0 = 0.
-1/3, 0
Let w = 5 - 3. Determine p so that -8*p**2 + 5*p**4 + 11 - 2*p + 4*p**3 - p**4 - 7 - w*p**5 = 0.
-1, 1, 2
Suppose -2*s - s = 0. Factor s + 2/3*a**2 + 0*a.
2*a**2/3
Let n(c) = c**2 + 8*c + 12. Let x be n(-6). Let v(m) be the first derivative of 2 - 1/2*m**4 + 1/3*m**6 + 2/3*m**3 + 0*m - 2/5*m**5 + x*m**2. Factor v(h).
2*h**2*(h - 1)**2*(h + 1)
Let w be (-77)/847 + (-1)/(-11). Let 0 + w*m**3 + 0*m - 2/7*m**4 + 4/7*m**5 + 0*m**2 = 0. Calculate m.
0, 1/2
Find c, given that 8*c**4 - 12*c**2 + c + 4*c**2 - 6*c**5 + 3*c + 2*c**5 = 0.
-1, 0, 1
Let a(q) be the second derivative of 0*q**2 + 1/2*q**3 + q - 1/2*q**4 + 3/20*q**5 + 0. Determine b so that a(b) = 0.
0, 1
Let v(q) be the second derivative of -2*q**7/105 + q**6/60 + q**5/30 + q**2 + q. Let g(d) be the first derivative of v(d). Factor g(a).
-2*a**2*(a - 1)*(2*a + 1)
Let z(k) be the third derivative of k**7/105 - k**5/10 - k**4/6 - 4*k**2. Factor z(o).
2*o*(o - 2)*(o + 1)**2
Let u(n) = 16*n**3 - 36*n**2 + 24*n - 7. Let z(s) = 16*s**3 - 36*s**2 + 24*s - 8. Let d(c) = 4*u(c) - 3*z(c). Determine o, given that d(o) = 0.
1/4, 1
Factor -4/5 - 6/5*i**2 - 2*i.
-2*(i + 1)*(3*i + 2)/5
Let i(g) be the first derivative of -g**8/504 + g**6/90 - g**4/36 - 3*g**2/2 + 3. Let o(f) be the second derivative of i(f). Factor o(v).
-2*v*(v - 1)**2*(v + 1)**2/3
Let l = 36 + -22. Let -4 + t**4 + t**4 + t**4 - 14*t**3 - 6*t**2 + l*t + 7*t**4 = 0. What is t?
-1, 2/5, 1
Let i = 20/3 - 5. Let l(v) be the first derivative of -5/4*v**2 + 1/2*v**5 + 1/2*v - 1 + i*v**3 - 5/4*v**4 - 1/12*v**6. Determine m so that l(m) = 0.
1
Let i be (2/20)/((-1)/(-4)). Let l be -5*(-12)/(-12) - -7. Factor -2/5 - i*s**l - 4/5*s.
-2*(s + 1)**2/5
Suppose 33*x - 38*x = 0. Let d(q) be the third derivative of -1/18*q**4 + 1/90*q**5 + 2*q**2 + 0*q + x*q**3 + 0. Let d(j) = 0. What is j?
0, 2
Let r(d) = -d + 7. Let y be r(5). Let z(s) be the first derivative of 10/3*s**3 - 2*s - 3/2*s**4 + 2 - s**y. Solve z(i) = 0.
-1/3, 1
Let v(g) be the second derivative of -g**4/32 + g**3/8 - 3*g**2/16 + 10*g. Solve v(d) = 0 for d.
1
Let 0 + 8/3*q**2 - 2/3*q**5 - 2*q**3 + 8/3*q - 8/3*q**4 = 0. What is q?
-2, -1, 0, 1
Let o(y) be the third derivative of 0 - 1/540*y**6 - 1/270*y**5 + y**2 + 1/108*y**4 + 1/27*y**3 + 0*y. Suppose o(i) = 0. What is i?
-1, 1
Suppose -b = 4*b - 10. Suppose 5*t = q + 10, b*t - 1 = 2*q - q. Determine m so that 4*m**5 + 0*m**4 + 6*m**3 - 2*m**2 + 4*m**2 - 2*m**q + 6*m**4 = 0.
-1, 0
Let h be (11 - 15)*1/(-14). Factor 32/7*l**3 - 2*l - 16/7*l**2 - h.
2*(l - 1)*(4*l + 1)**2/7
Let r(b) be the first derivative of -b**6/9 - 4*b**5/5 - 13*b**4/6 - 8*b**3/3 - 4*b**2/3 + 8. Solve r(t) = 0.
-2, -1, 0
Let j(g) = 2*g**2 + 2*g - 1 + 1. Let v(p) = p**2 + p + 1. Let y(r) = 6*r**2 + 6*r + 5. Let d(q) = -5*v(q) + y(q). Let z(k) = -4*d(k) + 3*j(k). Factor z(f).
2*f*(f + 1)
Let v(x) be the third derivative of -x**7/12600 - x**6/3600 + x**4/12 + 2*x**2. Let t(l) be the second derivative of v(l). Determine n, given that t(n) = 0.
-1, 0
Suppose 3*b + 10 = 2*p - 12, 5*b + 2*p = -26. Let t(q) = 4*q**4 - 6*q**3 + 6. Let k(z) = z**3 - 1. Let w(o) = b*k(o) - t(o). Solve w(i) = 0.
0
Let m(b) = -11*b**4 + 14*b**3 + 9*b**2 - 4*b - 20. Let j(d) = -4*d**4 + 5*d**3 + 3*d**2 - d - 7. Let q(a) = -8*j(a) + 3*m(a). Let q(r) = 0. What is r?
-1, 2
Let m = 4 - 48. Let a be 6/m*8/(-6). Solve 2/11*r - a*r**2 + 0 = 0.
0, 1
Let v be 4/20 - (-21)/(-30). Let z = 5/6 + v. Solve 1/3*d**2 + z - 2/3*d = 0 for d.
1
Let d be 29443/28 + (-6)/21. Let l = d - 1045. Let -5*r + 1 + l*r**2 = 0. What is r?
2/5
Let j(x) = -x**2 + x - 1. Let f(u) = 6*u**2 - 10*u + 4. Let y(m) = -f(m) - 4*j(m). Factor y(k).
-2*k*(k - 3)
Let i(x) be the first derivative of -x**4 + 4*x**3 - 6*x**2 + 4*x + 31. Find f such that i(f) = 0.
1
Let x(l) be the third derivative of -l**5/160 + 5*l**4/192 + l**3/4 + 8*l**2 - 2. Factor x(a).
-(a - 3)*(3*a + 4)/8
Let c(l) = -1 - 9*l + 5*l**2 - 4*l**3 - 1 + 3*l**3 + 7*l**4. Let t(x) = 8*x**4 - 2*x**3 + 6*x**2 - 10*x - 2. Let u(z) = -6*c(z) + 5*t(z). Factor u(r).
-2*(r - 1)*(r + 1)**3
Let s(j) be the third derivative of -1/240*j**5 + j**2 + 0 + 1/48*j**4 + 0*j - 1/24*j**3. Find d, given that s(d) = 0.
1
Let d be 36/(-6)*(-1)/3. Factor 2 - 4 + 0*j**2 + 2*j**d.
2*(j - 1)*(j + 1)
Let y = -7 - -7. Find i, given that y + 0 + 0 + 2*i**2 + i**3 + i = 0.
-1, 0
Let u(r) = -7*r**4 + 3*r**3 - r**2 + 3*r + 8. Let i(b) = 13*b**4 - 5*b**3 + 2*b**2 - 6*b - 15. Let q(f) = 6*i(f) + 11*u(f). What is v in q(v) = 0?
-2, -1, 1
Let f(x) = x**2 + 6*x - 2. Suppose -2*b + 165 = 3*b. Let i(p) = 15*p**2 + 96*p - 33. Let t(z) = b*f(z) - 2*i(z). Find h such that t(h) = 0.
-2, 0
Suppose -n + 5*n + s - 23 = 0, 2*s + 9 = 3*n. Suppose x + 4*x = -k + 12, -5*x = -n*k. Suppose 0 - 1/3*f**3 - 2/3*f + f**x = 0. What is f?
0, 1, 2
Let k(d) = -d**2 + 32*d + 107. Let q be k(35). What is x in 0 + 2/7*x**3 - 2/7*x - 8/7*x**q + 8/7*x**4 = 0?
-1, -1/4, 0, 1
Let q = -6717 + 221678/33. Let i = q - 2/11. Factor 1/3*a**5 + 5/3*a + 10/3*a**2 + i + 5/3*a**4 + 10/3*a**3.
(a + 1)**5/3
Let i be ((-2)/(-9))/(3/27). Suppose -2*u + 4*x = -3*u, -2*u + 3*x + 22 = 0. Factor -12 - 36*s + 7*s**2 - 26*s**3 + u*s**3 - s**4 - 46*s**i - 2*s**4.
-3*(s + 1)**2*(s + 2)**2
Let m = 1 - -2. Factor m - c**4 + 2*c**4 - 2*c**2 - 2.
(c - 1)**2*(c + 1)**2
Let y(l) be the third derivative of -l**7/2100 + l**5/300 - 3*l**3/2 + 9*l**2. Let a(g) be the first derivative of y(g). Determine o, given that a(o) = 0.
-1, 0, 1
Suppose 1/10*v**2 + 0 - 3/5*v = 0. Calculate v.
0, 6
Let v(b) be the second derivative of -b**6/45 - b**5/15 - b**4/18 + 2*b. Factor v(l).
-2*l**2*(l + 1)**2/3
Let w(a) = 2*a**4 - 3*a**3 + 15*a**2 - 4*a + 5. Let l(t) = 5*t - 22*t**2 + t - 3*t**4 + 3 - 10 + 5*t**3. Let f(u) = 5*l(u) + 7*w(u). Factor f(r).
-r*(r - 2)*(r - 1)**2
Suppose 3*r = 5*r + s - 6, -5*r + 5*s + 15 = 0. Factor -3/7*z**r + 0*z + 0*z**2 + 0.
-3*z**3/7
Factor -17*m - 10*m + 59*m - 7*m**3 + 44*m**2 + 19*m**3 - 16.
4*(m + 2)**2*(3*m - 1)
Suppose 1 = j - 2. Let y be 2*(44/(-16) + j). Solve 0 + 1/2*i**4 - y*i**3 + 1/2*i - 1/2*i**2 = 0.
-1, 0, 1
Determine z so that 24/19*z**3 - 14/19*z**4 + 8/19*z**2 + 2/19*z**5 - 32/19*z + 0 = 0.
-1, 0, 2, 4
Let v(s) = 3*s - 1. Let j be v(1). Factor 4 - 5 + 3*d**2 - 2*d - j*d**2 - 2*d**2.
-(d + 1)**2
Suppose -3*c = -2*m + 18 + 210, 2*m = 5*c + 384. Let p = c + 238/3. Factor -4/3*q + p + 1/3*q**2.
(q - 2)**2/3
Let u be 2/(-7) - 290/(-35). Factor 0*x**2 + u*x**3 - 6*x**2 - 3*x**4 - 1 + 2.
-(x - 1)**3*(3*x + 1)
Let q(d) be the first derivative of -50*d**3/27 - 10*d**2/9 - 2*d/9 + 6. Suppose q(l) = 0. Calculate l.
-1/5
Let f = -19 - -21. Factor 4/3*l**2 + 0 - f*l - 2/9*l**3.
-2*l*(l - 3)**2/9
Let w = 14 - -14. Let r be w/9 + (-16)/8. Determine l, given that 10/9*l**2 - r*l**4 - 14/9*l**5 - 4/9*l + 0 + 2*l**3 = 0.
-1, 0, 2/7, 1
Let q(k) = k**2 - 3*k + 4. Let y(j) = 3*j**2 - 7*j + 9. Let d(g) = -5*q(g) + 2*y(g). Factor d(l).
(l - 1