ppose 5*q = -2*a + 13, a = -3*q - 2*a + 6. Suppose 5 = -q*r + 8. Factor f + 1/4*f**2 + r.
(f + 2)**2/4
Let l(i) = -i**5 - 2*i**4 + i**3 + 2*i**2 + 2*i - 2. Let a(j) = -5*j**5 - 11*j**4 + 5*j**3 + 11*j**2 + 11*j - 11. Let v(w) = 2*a(w) - 11*l(w). Factor v(h).
h**3*(h - 1)*(h + 1)
Let j(l) = -l**2. Let x be j(0). Suppose 0 = -2*p - x*p + 2. Factor 2 + 3*k**2 - p + 1 + 5*k.
(k + 1)*(3*k + 2)
Solve -3/2*i - 3 + 3/2*i**2 = 0 for i.
-1, 2
Let h(s) be the second derivative of -s**7/7560 - s**6/720 - s**5/180 - s**4/3 + s. Let j(i) be the third derivative of h(i). Determine p so that j(p) = 0.
-2, -1
Let m(r) be the second derivative of r**6/20 + r**5/30 - r**4/4 - r**3/3 + r**2/2 - r. Let s(q) be the first derivative of m(q). Let s(a) = 0. Calculate a.
-1, -1/3, 1
Suppose 2/5*j + 0 - 8/15*j**2 + 2/15*j**3 = 0. Calculate j.
0, 1, 3
Let f(j) be the second derivative of -j**5/60 + j**4/36 + j**3/18 - j**2/6 - 9*j. Find a such that f(a) = 0.
-1, 1
Suppose 3*p = -2 + 8. Let -c**p - 2*c - c**4 + 2*c**3 + 1 + c**2 = 0. Calculate c.
-1, 1
Factor 32/3 + 16/3*c - 40/3*c**2 + 16/3*c**4 - 4/3*c**5 - 4/3*c**3.
-4*(c - 2)**3*(c + 1)**2/3
Let 16/11*k - 6/11 + 6/11*k**2 = 0. Calculate k.
-3, 1/3
Let s be (98/15)/(-1 + 65/15). Let o(h) be the first derivative of 0*h + s*h**5 + 4*h**3 + 4/5*h**2 + 3 + 63/10*h**4. Let o(q) = 0. What is q?
-2, -2/7, 0
Let v be 3/(-12) + (-275)/4. Let w be v/(-21) + (-4)/14. Let 1/4*a**w - 1/4 - 1/4*a + 1/4*a**2 = 0. Calculate a.
-1, 1
Let o(d) = -7*d**5 - 11*d**4 + 8*d**3 + 29*d**2 + 25*d + 8. Let v(t) = -t**5 - t**4 - t**2 - t. Let a(x) = o(x) - 3*v(x). What is k in a(k) = 0?
-1, 2
Factor 1/2*j**2 - 6 - 1/2*j**3 + 4*j.
-(j - 2)**2*(j + 3)/2
Factor -4/5*k**3 + 2 - 24/5*k + 18/5*k**2.
-2*(k - 1)**2*(2*k - 5)/5
Let l(u) = -3*u**4 + 32*u**3 + 39*u**2 + 21*u. Let c(d) = d**4 - 11*d**3 - 13*d**2 - 7*d. Let j(w) = -17*c(w) - 6*l(w). What is f in j(f) = 0?
-1, 0, 7
Let a(y) = 5*y**2 - 6*y - 4. Let j(u) = 9*u**2 - 11*u - 7. Let d(f) = 7*a(f) - 4*j(f). Factor d(g).
-g*(g - 2)
Let v(q) be the third derivative of 0*q - 2/3*q**4 + 6*q**2 - 1/30*q**5 - 16/3*q**3 + 0. Find g such that v(g) = 0.
-4
Let l be -5 - (5 - 151/15). Let j(s) be the second derivative of 1/20*s**5 + 0*s**2 + 1/42*s**7 - l*s**6 + 0*s**4 - s + 0 + 0*s**3. Solve j(i) = 0 for i.
0, 1
Determine j, given that -2/5*j**2 + 2/5*j**3 + 0 - 4/5*j = 0.
-1, 0, 2
Suppose -469*y = -485*y + 48. Find x, given that 0*x - 9/4*x**2 + 0 + 3/4*x**y = 0.
0, 3
Let s be (-220)/(-88)*(-12)/(-10). Factor -1/3*x**2 + 0 + 0*x - 1/3*x**4 + 2/3*x**s.
-x**2*(x - 1)**2/3
Let r(s) be the second derivative of 25*s**4/24 + 65*s**3/12 - 15*s**2/2 - 4*s. Factor r(l).
5*(l + 3)*(5*l - 2)/2
Let m be 8/(-12) - 4/(-6). Suppose m = -0*d + 3*d - 6. Determine n so that 12*n - 2*n**2 + 12*n**2 - 4*n + 8*n + 8 + d*n**3 = 0.
-2, -1
Let m = -14 - -16. Let -8 + 1 + 6*k**m + 5 - 6 + 8*k = 0. Calculate k.
-2, 2/3
Factor 3/2*n**3 - 9/2*n**4 - 2*n + 0 + 4*n**2.
-n*(n + 1)*(3*n - 2)**2/2
Let t(m) be the first derivative of -7*m**5/25 + 23*m**4/20 - 9*m**3/5 + 13*m**2/10 - 2*m/5 - 6. What is h in t(h) = 0?
2/7, 1
Let c be 66/11 + 4/(-2). Factor -9 + 2*o**2 - 5*o**4 - o + 5*o**2 + 7 + c*o - 3*o**3.
-(o - 1)*(o + 1)**2*(5*o - 2)
Let p(g) = -g - 5. Let c be p(0). Let j = -3 - c. Factor 0*u**3 + 0 + 0*u**j + 0*u + 1/2*u**4.
u**4/2
Let j be 6 - 3/(-6)*-4. Factor -4*g**j + 2*g**2 + 2*g**3 + 3*g**4 - 3*g**2.
-g**2*(g - 1)**2
Suppose 11 = 12*t - 1. Let p(o) = -o - 1. Let v(l) = l**3 + 2*l**2 - 4*l - 4. Let c(j) = -2*j + 8. Let x be c(6). Let a(u) = t*v(u) + x*p(u). Factor a(q).
q**2*(q + 2)
Let c(o) be the third derivative of -o**7/84 - 5*o**6/48 + o**5/4 - 27*o**2. Factor c(d).
-5*d**2*(d - 1)*(d + 6)/2
Let k be (-21)/4*(-90)/105. Determine r, given that -3/2 + k*r + 6*r**2 = 0.
-1, 1/4
Let j(d) = -d**3 - 2*d**2 - 3*d. Let r be j(0). Let u(q) be the second derivative of 7/80*q**5 + q + 1/24*q**4 + 0 + 0*q**3 + r*q**2. Factor u(w).
w**2*(7*w + 2)/4
Factor 0 + 15*z**2 + 3/2*z**3 + 75/2*z.
3*z*(z + 5)**2/2
Find x such that -51/5*x**2 + 3/5*x**5 + 0 - 21/5*x**4 + 18/5*x + 51/5*x**3 = 0.
0, 1, 2, 3
Let t(r) be the second derivative of 0 - 1/36*r**4 + 0*r**2 + 1/9*r**3 + 6*r. Suppose t(o) = 0. Calculate o.
0, 2
Let r(l) = -l**3 - 9*l**2 + 9*l - 8. Let v be r(-10). Factor 6*i**3 - 6*i**4 + 4*i**3 - 2*i**2 - 4*i**3 + v*i**5.
2*i**2*(i - 1)**3
Let h = 1/121 + 1075/1694. Let y = h + -11/28. What is f in y*f + 1/2 - 1/4*f**2 = 0?
-1, 2
Let y(b) be the first derivative of 3*b**4/20 - b**3/5 - 3*b**2/5 + 59. Solve y(w) = 0 for w.
-1, 0, 2
Let m be 80 + -83 + (2 - 1*-1). Factor -1/5*f + 0 + 0*f**4 + 2/5*f**3 - 1/5*f**5 + m*f**2.
-f*(f - 1)**2*(f + 1)**2/5
Let -1 + 8*v**5 - 6*v**3 + 5*v + 1 - 4*v**2 - 3*v + 8*v**4 = 0. Calculate v.
-1, 0, 1/2
Let a(m) = m + 1. Let q(h) = -2*h**2 - 18*h - 16. Let j(c) = 10*a(c) + q(c). Factor j(o).
-2*(o + 1)*(o + 3)
Let z = 6/403 + 2376/2821. Solve 2/7 - 2/7*y + 4/7*y**4 + 2/7*y**3 - z*y**2 = 0.
-1, 1/2, 1
Let k(z) = -8*z - 36. Let j be k(-5). Let y(s) be the third derivative of -1/21*s**3 + 0 - 1/70*s**5 + 0*s - 2*s**2 - 1/21*s**j. Factor y(r).
-2*(r + 1)*(3*r + 1)/7
Let g(k) = -2*k - 5. Let x be g(-5). Let c = x + -2. Factor 0*a - 1/2*a**4 - 1/2*a**c + a**2 + 0.
-a**2*(a - 1)*(a + 2)/2
Suppose 2*m = -m - 3*m. Let b(u) be the third derivative of -1/36*u**4 + 1/45*u**6 + m*u**3 + u**2 + 0*u + 0 + 1/30*u**5. Factor b(i).
2*i*(i + 1)*(4*i - 1)/3
Let q = -481/30 - -81/5. Find x, given that 0*x - 1/6*x**3 + q*x**2 + 0 = 0.
0, 1
Factor 3/5*y**2 - 3/5*y + 3/5*y**3 - 3/5.
3*(y - 1)*(y + 1)**2/5
Suppose j = 6*j - 10. Determine z, given that -7*z**4 - 4*z**2 + 2*z**5 + 6*z**3 + z**4 + 2*z**j = 0.
0, 1
Let r = -4 + 9. Let l(i) be the third derivative of -1/6*i**4 + 0 + 2/3*i**3 + 1/60*i**r + i**2 + 0*i. Let l(a) = 0. Calculate a.
2
Let x(u) = 2*u**2 - u - 1. Let v be x(-1). What is w in -2/5*w + 2/5*w**3 + 4/5*w**v - 4/5 = 0?
-2, -1, 1
Let h(c) = 2 - 8*c + 0 + c**3 + 0 - 2*c**2 + 7*c**2. Let w(s) = 3*s**3 + 21*s**2 - 33*s + 9. Let g(l) = 9*h(l) - 2*w(l). Factor g(x).
3*x*(x - 1)*(x + 2)
Let l = -10 + 13. Let u be 1/3*l/4. Let 1/4*w**2 - u*w - 1/2 = 0. Calculate w.
-1, 2
Let r(p) = -11*p**3 + 8*p**2 - p**4 + 6*p - 2*p**4 - 4*p**4. Let i(y) = 21*y**4 + 32*y**3 - 23*y**2 - 17*y. Let c(d) = -6*i(d) - 17*r(d). Factor c(f).
-f**2*(f + 1)*(7*f - 2)
Let y(c) = c**3 + 11*c**2 - c - 11. Let p(n) = -4*n**3 - 34*n**2 + 4*n + 34. Let z(f) = -4*p(f) - 11*y(f). Factor z(s).
5*(s - 1)*(s + 1)*(s + 3)
Suppose 3*u + 2*u = 10. Let k(x) be the first derivative of -1/3*x + 0*x**2 + 1/9*x**3 - u. Factor k(i).
(i - 1)*(i + 1)/3
Let t be ((-1)/3)/((-6)/(-279)). Let d = 95/6 + t. Factor 0 - 1/3*x**3 + x**4 + d*x - x**2.
x*(x - 1)*(x + 1)*(3*x - 1)/3
Let k(x) be the second derivative of x**6/30 + 53*x**5/80 + 205*x**4/48 + 8*x**3 + 9*x**2/2 + 10*x. Factor k(b).
(b + 1)*(b + 6)**2*(4*b + 1)/4
Let b = 409/6 + -68. Factor -1/2*n**4 + 0 + 1/2*n**3 + 1/6*n**5 - b*n**2 + 0*n.
n**2*(n - 1)**3/6
Let h(i) be the second derivative of 0*i**2 + 0*i**3 + 0 + 7*i + 3/10*i**5 + 0*i**4 - 1/10*i**6. Solve h(l) = 0 for l.
0, 2
Factor -1/7*z**5 + 0*z**3 + 0*z**2 + 1/7*z**4 + 0 + 0*z.
-z**4*(z - 1)/7
Suppose -2 = b - v, -14*b + 10*b = -v - 7. Solve 24/7*a**b - 18/7*a**4 + 0 - 2/7*a**2 - 4/7*a = 0 for a.
-1/3, 0, 2/3, 1
Let x(z) be the second derivative of z**7/21 + 7*z**6/20 - 19*z**5/40 - 67*z**4/12 + 8*z**3 + 8*z**2 - 49*z. Solve x(i) = 0.
-4, -1/4, 1, 2
Let c(s) be the third derivative of s**8/84 + 4*s**7/105 - 2*s**5/15 - s**4/6 + 4*s**2. What is q in c(q) = 0?
-1, 0, 1
Let t(z) be the third derivative of -z**8/6720 - z**7/630 - z**6/180 - z**4/3 + 8*z**2. Let h(m) be the second derivative of t(m). Factor h(g).
-g*(g + 2)**2
Factor 2/7*k**4 + 4/7*k**2 + 0 - 5/7*k**3 - 1/7*k.
k*(k - 1)**2*(2*k - 1)/7
Let t(j) be the first derivative of j**8/672 - j**7/140 + j**6/240 + j**5/40 - j**4/24 - 5*j**2/2 + 1. Let v(n) be the second derivative of t(n). Factor v(o).
o*(o - 2)*(o - 1)**2*(o + 1)/2
Let k(m) be the second derivative of m**6/6 - 7*m**5/4 + 15*m**4/2 - 50*m**3/3 + 20*m**2 + m - 6. What is t in k(t) = 0?
1, 2
Let c be 4/6 - 4/(-3). Let d(g) be the first derivative of 1/12*g**3 + 0*g + c - 1/8*g**2. Find o such that d(o) = 0.
0, 1
Solve 0*i - 2/3*i**2 - 1/3*i**3 + 0 