Factor 2*k**d + k**2 + 0*k**2.
3*k**2
What is f in -3/4*f**3 - 9/4*f + 9/4*f**2 + 3/4 = 0?
1
Suppose 0 = -c - 0 + 2. Factor 4/3*t + 0 + 2/3*t**c - 2/3*t**3.
-2*t*(t - 2)*(t + 1)/3
Let x be 6 + 11/66*-34. Suppose -5*g = -5*d + 15, -2*d + 6 = g - 6*g. Factor -1/3*n**2 + 0*n + 0 - x*n**d.
-n**2*(n + 1)/3
Let r be 75/(-60) + (-81)/(-60). Factor -r*p + 1/5 - 1/10*p**2.
-(p - 1)*(p + 2)/10
Let i(a) = -3*a**3 + 8*a. Let q(r) = 5*r**3 - r**3 - 2*r**3 + 5*r - 4*r**3. Let u(k) = -5*i(k) + 8*q(k). Find o such that u(o) = 0.
0
Let i = -24 - -26. Let j(p) be the second derivative of -4/5*p**6 + 1/6*p**4 + 0*p**i - 3*p - 1/10*p**5 + 0*p**3 + 0. Factor j(k).
-2*k**2*(3*k + 1)*(4*k - 1)
Let f(b) = -2*b - 3. Let d be f(-4). Factor 0*u**5 - u**2 + d*u**3 + u**5 - 3*u**4 - 2*u**3.
u**2*(u - 1)**3
Let x(n) = -2*n**3 - 2*n + 2. Let y(j) = j**4 - j**3 - j + 1. Let i(c) = x(c) - 2*y(c). Factor i(d).
-2*d**4
Let k(q) = -q**3 + q**2 + q + 1. Let l(x) = -3*x**4 - 3. Let a(z) = 3*k(z) + l(z). Solve a(t) = 0.
-1, 0, 1
Let t be 42/105*(3 - -12). Factor 4*b - t*b**2 - 2/3 + 8/3*b**3.
2*(b - 1)**2*(4*b - 1)/3
Let l(t) = -5*t**2 - 27*t + 2. Let j(i) = -10*i**2 - 55*i + 5. Let x(w) = -2*j(w) + 5*l(w). Factor x(o).
-5*o*(o + 5)
Let c(h) be the first derivative of -9*h**5/5 - 21*h**4/2 - 20*h**3 - 12*h**2 + 26. Let c(b) = 0. What is b?
-2, -2/3, 0
Let i be (5/((-2)/2))/(-1). Factor 3*h**4 - h**2 + i*h**3 + 7*h**2 + 4*h**3.
3*h**2*(h + 1)*(h + 2)
Let y(k) be the first derivative of k**4/14 - 2*k**3/21 - k**2/7 + 2*k/7 - 3. Factor y(a).
2*(a - 1)**2*(a + 1)/7
Let b(n) = -16*n**3 + 10*n**2 - 14. Let j(w) = -w**3 + w**2 - 1. Let c(s) = -2*b(s) + 28*j(s). Factor c(q).
4*q**2*(q + 2)
Solve 6*s**5 - 76/3*s**3 - 2*s**4 + 30*s + 50/3 - 4*s**2 = 0 for s.
-1, 5/3
Find l such that 0 + 7/2*l**2 + l = 0.
-2/7, 0
Suppose -c - 5*l + 10*l - 23 = 0, -3*l = -15. Suppose 0 = r + 3, 0 = -0*a - 5*a - 5*r - 5. Solve -c*i + 0 - a*i**2 + 0 = 0 for i.
-1, 0
Let w = -50 + 52. Let x(u) be the second derivative of 0*u**w + 1/3*u**4 - 1/10*u**5 - 1/3*u**3 + 0 + u. Factor x(o).
-2*o*(o - 1)**2
Suppose -3*d + 2*d = -6. Factor 6*n**3 - 9*n**4 + 3*n**4 + 2*n**5 - d*n**2 + 4*n**2.
2*n**2*(n - 1)**3
Let t be -1*0*(-4)/(-12). Let n(h) be the third derivative of -2*h**2 + 4/525*h**7 - 1/100*h**6 + t*h**4 - 1/150*h**5 + 0*h**3 + 0 + 0*h. Factor n(u).
2*u**2*(u - 1)*(4*u + 1)/5
Let c(a) = a**5 + a**4 + a**3 - a - 1. Let g(r) = 20*r**5 + 30*r**4 + 25*r**3 - 15*r - 15. Let z(h) = -15*c(h) + g(h). Factor z(n).
5*n**3*(n + 1)*(n + 2)
Let r(q) be the second derivative of -2/3*q**3 - 3*q + 0 + 0*q**2 - 1/10*q**5 - 1/2*q**4. What is u in r(u) = 0?
-2, -1, 0
Let l = -478 + 480. Factor 0 + 0*o - 1/6*o**3 + 1/2*o**l.
-o**2*(o - 3)/6
Let q(c) be the second derivative of c**5/20 - c**4/12 + 10*c. Let q(u) = 0. Calculate u.
0, 1
Factor 4/3*h + 0 + 4/3*h**2 + 1/3*h**3.
h*(h + 2)**2/3
Let g(n) = 7*n**3 - 3*n**2 - 8*n. Let q(u) = u**3 + u**2 + u. Let j(x) = -g(x) + 2*q(x). Suppose j(d) = 0. Calculate d.
-1, 0, 2
Let k(f) be the third derivative of 7/60*f**6 - 3*f**2 + 0 - 1/6*f**4 + 0*f**3 + 1/6*f**5 + 0*f. Factor k(z).
2*z*(z + 1)*(7*z - 2)
Let g = 11344 + -2041913/180. Let q(f) be the third derivative of 0 + 1/9*f**3 + g*f**5 + 1/8*f**4 + 0*f - 2*f**2. Let q(l) = 0. Calculate l.
-1, -2/7
Let o be ((4/30)/1)/(2/3). Factor -o*n**3 + 0*n**2 + 1/5*n + 0.
-n*(n - 1)*(n + 1)/5
Let s(w) = -w**3 + w**2 + w. Let k(b) = -6*b**3 + 6*b**2 + 4*b. Let o(q) = k(q) - 4*s(q). Factor o(d).
-2*d**2*(d - 1)
Let i(o) = -o**2 - o. Let s(f) = 7*f**2 + 3*f - 6. Let l(p) = -24*i(p) - 3*s(p). Determine x so that l(x) = 0.
-3, -2
Factor -3*f**3 + 4*f**4 - 17*f**4 - 3*f**5 + 7*f**4.
-3*f**3*(f + 1)**2
Let c = -7 + 9. Let b(a) be the second derivative of 0*a**3 - 1/7*a**c + 0 - 2*a + 1/42*a**4. What is x in b(x) = 0?
-1, 1
Determine p so that 0 - 41*p**2 + 11 - 16*p + 45*p**2 + 1 = 0.
1, 3
Let m(y) = y**2 - 4*y - 7. Let w be m(6). Suppose -w*s - s**2 - 3*s + 9*s = 0. What is s?
0, 1
Let u(a) be the first derivative of -2*a**3/33 + 26*a**2/11 - 338*a/11 - 13. Factor u(m).
-2*(m - 13)**2/11
Let l be 14/6 + -2 - (0 + 0). Factor l*j**3 + 1/3*j + 0 + 2/3*j**2.
j*(j + 1)**2/3
Suppose -3*q = 3*n, -2*n = -0*n + q - 3. Suppose -8 = -n*v - 2. Factor -4/7*y + 2/7 + 2/7*y**v.
2*(y - 1)**2/7
Let z(f) be the third derivative of 0*f**3 + 0*f + 1/90*f**5 + 6*f**2 + 0 + 1/18*f**4. Factor z(g).
2*g*(g + 2)/3
Let i(l) = -l**5 - 9*l**4 + l**3 + 13*l**2 - 10. Let f(d) = -d**4 + d**2 - 1. Let h(z) = 6*f(z) - i(z). Solve h(m) = 0.
-2, -1, 1
Suppose -6*f**3 - 58*f**2 + 100*f + 35*f**4 - 20 - 47*f**2 + 5*f**3 - 9*f**3 = 0. Calculate f.
-2, 2/7, 1
Let f be 6/(-5)*(-10)/4. Suppose 3*h + f*n = -3, h + 7*n + 11 = 4*n. Let 0*o**3 + 1/2 + 1/2*o**h - o**2 + 0*o = 0. What is o?
-1, 1
Let i(z) = -2*z**2 + 12*z + 4. Let f(h) = -h**2 - 3. Let p be f(0). Let w = -7 - p. Let b(y) = 3*y**2 - 12*y - 4. Let t(x) = w*i(x) - 5*b(x). Factor t(j).
-(j - 2)*(7*j + 2)
Let o(r) be the first derivative of 1/9*r**3 + 2/3*r - 6 - 1/2*r**2. Factor o(j).
(j - 2)*(j - 1)/3
Let 0*m**2 + 4/3 + 2/3*m**3 - 2*m = 0. What is m?
-2, 1
Factor -12/7 + 9/7*u**2 + 0*u - 3/7*u**3.
-3*(u - 2)**2*(u + 1)/7
Let s(f) be the third derivative of 0*f**3 + 0 - 1/30*f**5 - 6*f**2 + 0*f - 1/6*f**4. Determine c so that s(c) = 0.
-2, 0
Suppose -2*l - 5*y = -15, 3*l = -2*l - 3*y - 10. Let r = l + 6. Factor 3/2*n - 1/2*n**2 - r.
-(n - 2)*(n - 1)/2
Let o(u) be the third derivative of -1/3*u**3 - 3*u**2 + 0 - 1/24*u**5 + 0*u + 1/240*u**6 + 1/6*u**4. Find f, given that o(f) = 0.
1, 2
Let r(z) = 44*z**3 + 72*z**2 - 41*z + 6. Let j(h) = 43*h**3 + 72*h**2 - 40*h + 6. Let a(d) = -4*j(d) + 5*r(d). Determine y so that a(y) = 0.
-2, 1/4
Suppose 2*g - 10 = -4*n + 3*g, -n + 2*g = 1. Suppose m = 3*k + 3, -n*k = 2*m - k + 2. Factor 0*u + m - 1/4*u**3 + 0*u**2.
-u**3/4
Let x(g) be the third derivative of g**6/60 - g**5/10 + 4*g**3/3 - 14*g**2. Let x(f) = 0. Calculate f.
-1, 2
Factor -2*v**5 - 23*v**3 - 2*v**5 + 33*v**3 + 12*v**4 - 22*v**3 + 4*v**2.
-4*v**2*(v - 1)**3
Let f be 10/4*(6 - (5 + -1)). Let b(p) be the first derivative of 1/2*p**4 + 0*p**2 + 2/3*p**3 - 2 - 2/5*p**f - 1/3*p**6 + 0*p. Let b(w) = 0. What is w?
-1, 0, 1
Suppose 0 = 5*r - m - 13, -m - 8 = -4*r + m. Let t(h) be the first derivative of 2 + 2/3*h**r + 1/4*h**4 + 0*h**2 + 0*h - 1/5*h**5. Factor t(s).
-s**2*(s - 2)*(s + 1)
Let x(l) be the first derivative of -l**5/90 + l**4/18 - l**2/2 + 3. Let j(r) be the second derivative of x(r). Solve j(c) = 0 for c.
0, 2
Let u(q) be the second derivative of q**6/15 + q**5/5 + q**4/6 - 3*q + 8. Solve u(g) = 0 for g.
-1, 0
Let p(w) be the first derivative of -w**6/12 - 7*w**5/10 - 11*w**4/8 - 5*w**3/6 + 43. Solve p(a) = 0.
-5, -1, 0
Let b(x) be the first derivative of 3*x**5/10 - 9*x**4/8 + x**3 + 45. Find o such that b(o) = 0.
0, 1, 2
Determine r, given that -r**4 + 11751 - r**3 + 2*r**2 - 11751 = 0.
-2, 0, 1
Let k be (405/(-85) - -3)/8. Let v = 1/34 - k. Factor v - 1/4*h - 1/2*h**2.
-(h + 1)*(2*h - 1)/4
Let a(i) be the second derivative of -1/24*i**3 + 0*i**4 + 3*i + 0 + 0*i**2 + 1/80*i**5. Determine b, given that a(b) = 0.
-1, 0, 1
Suppose -2 = 4*x - r, -2*r = -x - 2*x - 4. Factor 0*j - 2*j**3 + x + 2*j**2 - 3/2*j**4.
-j**2*(j + 2)*(3*j - 2)/2
Suppose 3*c - 6 = -0. Find g, given that 5 + 0*g**2 + 3*g**c - 2 + 6*g = 0.
-1
Let j(t) be the second derivative of -t**8/210 - 3*t**7/175 - t**6/50 - t**5/150 + t**2/2 - t. Let g(i) be the first derivative of j(i). Factor g(d).
-2*d**2*(d + 1)**2*(4*d + 1)/5
What is v in -52*v**2 + 20*v + 40*v**3 + 12*v**2 + 0*v**5 - 20*v**4 - 4 + 4*v**5 = 0?
1
Let u(q) be the second derivative of -1/105*q**7 + 1/15*q**3 - 1/15*q**4 + 0*q**5 + 0 + 2*q + 2/75*q**6 + 0*q**2. What is s in u(s) = 0?
-1, 0, 1
Let a(z) = z**3 - 11*z**2 - 20*z. Let y(d) = d**3 - 10*d**2 - 19*d. Let h(j) = -5*a(j) + 6*y(j). Let m be h(7). Factor -1/3*c**3 + c**4 - c**2 + m + 1/3*c.
c*(c - 1)*(c + 1)*(3*c - 1)/3
Let w(g) be the first derivative of 7*g**4/30 + 2*g**3/9 - 16*g**2/15 + 8*g/15 - 13. What is j in w(j) = 0?
-2, 2/7, 1
Let c(o) be the first derivative of -2/3*o**3 + 1/48*o**4 + 0*o - 1/720*o**6 + 0*o**2 - 4 + 0*o**5. Let u(l) be the third derivative of c(l). Factor u(k).
-(k - 1)*(k + 1)/2
Let c = 13 + -19. Let s be -4*(3/3)/c. Facto