et 8*w + w**4 - 12*w**2 - 11*w**3 - w**3 + 7*w**i = 0. Calculate w.
-1, 0, 1/2, 2
Factor -1/2*f + 1/4*f**2 + 0 + 1/4*f**3.
f*(f - 1)*(f + 2)/4
Let z(s) = 2*s**5 - 8*s**4 + 2*s**3 + 4. Let a(f) = 5*f**5 - 17*f**4 + 4*f**3 - f**2 + 9. Let c(u) = 4*a(u) - 9*z(u). Determine m so that c(m) = 0.
-2, -1, 0, 1
Let p(y) be the second derivative of 1/21*y**7 + 7/15*y**6 + 0*y**2 + 10/3*y**4 + 0 + 12*y + 8/3*y**3 + 9/5*y**5. Factor p(w).
2*w*(w + 1)*(w + 2)**3
Find g such that 8 + 10*g - g**2 - 20*g + 12*g = 0.
-2, 4
Let h be (-7*(-6)/189)/((-40)/(-6)). Let m(x) be the third derivative of x**2 + h*x**5 + 0 - 1/3*x**3 - 1/120*x**6 + 0*x + 1/24*x**4. Let m(p) = 0. What is p?
-1, 1, 2
Let a(i) = 4*i - 27. Let y be a(11). Factor y*n**3 + 4*n**4 - 25*n**3 - 2*n**2 + 12*n**3 - 6*n**4.
-2*n**2*(n - 1)**2
Let m(b) = b**2 + 1. Let f(p) = 4*p**3 + 20*p**2 + 24. Let t(g) = -g**2 + g + 6. Let x be t(-5). Let i(c) = x*m(c) + f(c). Determine n so that i(n) = 0.
0, 1
Let z be 114/(-10) - (-6)/(-10). Let k be (-164)/z + 4/3. Let m - 15 + k + 7*m + 4*m**2 = 0. Calculate m.
-2, 0
Determine x so that 10/3*x + 4 - 14/9*x**2 - 2/3*x**3 + 2/9*x**4 = 0.
-2, -1, 3
Suppose -3/7*m**4 - 12/7*m**3 - 12/7*m - 3/7 - 18/7*m**2 = 0. What is m?
-1
Suppose 10 = y + j - 3*j, 0 = 4*y - 3*j - 30. Let l = y - -2. Factor -3*d + 2*d**2 - 5*d**2 + l - 35 + 21*d.
-3*(d - 3)**2
Let o(a) be the second derivative of 0*a**4 + 0*a**2 + 0*a**5 + 1/165*a**6 + 0*a**3 - 14*a + 1/231*a**7 + 0. Factor o(l).
2*l**4*(l + 1)/11
Factor -2/3*z**5 - 2/3*z + 4/3*z**3 - 2/3*z**4 + 4/3*z**2 - 2/3.
-2*(z - 1)**2*(z + 1)**3/3
Let b(h) be the second derivative of -h**4/27 + 128*h**3/27 - 2048*h**2/9 - 253*h + 1. Factor b(p).
-4*(p - 32)**2/9
Let q(s) be the second derivative of 27*s**5/10 + 29*s**4/2 - 656*s**3/9 + 320*s**2/3 + 525*s. Let q(x) = 0. Calculate x.
-5, 8/9
Suppose 0 = 3*h - h - 4. Let u be (h/(-2))/((-9)/27). Factor 3*m**3 - 3*m**4 - m**u + m**4.
-2*m**3*(m - 1)
Determine k, given that 43*k + 17*k - 50*k**2 + 5*k**4 - 20*k + 5*k**3 = 0.
-4, 0, 1, 2
Find o such that -1/8*o**5 - 3/8*o**4 - 17/8*o**2 + 0 + 3/4*o + 15/8*o**3 = 0.
-6, 0, 1
Factor -28*a**2 - 35*a**2 + 87*a**2 - 27*a**2 + 3*a**4.
3*a**2*(a - 1)*(a + 1)
Let s be 1 + 6 + 556/(-80). Let c(h) be the first derivative of 1/2*h**6 - s*h**5 - 1/6*h**3 + 0*h - 9/16*h**4 + 0*h**2 + 4. Let c(w) = 0. Calculate w.
-2/3, -1/4, 0, 1
Let d(c) = -c**2. Let m(n) = 3*n**2 - n + 1. Let f(q) = 8*d(q) + 3*m(q). Let i be f(3). Determine j so that 10*j**3 - 5*j**3 + i*j**2 - 8*j**2 = 0.
0, 1
Let p be 5 - -3 - (6 + -1). Suppose 2*b + 5*i - 29 = 0, p*b + 2*b = 3*i - 5. Determine o, given that 4/9*o + 14/9*o**5 + 0 - 2*o**3 + 10/9*o**4 - 10/9*o**b = 0.
-1, 0, 2/7, 1
Factor 26/5*a - 16/5 - 3/5*a**2.
-(a - 8)*(3*a - 2)/5
Let f(a) be the third derivative of -a**6/60 + 4*a**5/15 + a**4 - 48*a**3 + 202*a**2. Factor f(n).
-2*(n - 6)**2*(n + 4)
Let q(y) = 9*y**4 + 8*y**3 + 12*y**2 - 22*y + 14. Let m(w) = -7*w**4 - 9*w**3 - 11*w**2 + 21*w - 12. Let r(t) = 7*m(t) + 6*q(t). Find o such that r(o) = 0.
-1, 0, 1, 3
Factor 38/11 + 2/11*s**3 - 74/11*s + 34/11*s**2.
2*(s - 1)**2*(s + 19)/11
Let t be 1/7 + (-51)/(-84). Suppose 2*u - 10*u = 0. Solve -1/4*a + u - 1/4*a**4 - t*a**3 - 3/4*a**2 = 0 for a.
-1, 0
Factor 3/2 + 31/4*x**2 + 3/4*x**4 + 17/4*x**3 + 23/4*x.
(x + 1)**2*(x + 3)*(3*x + 2)/4
Let d(x) be the first derivative of 2/5*x**5 - 2*x**3 + 10 + 4*x + x**2 - 1/2*x**4. Suppose d(o) = 0. Calculate o.
-1, 1, 2
Let q(s) = -s**3 - 2*s**2 + 1. Let i(b) = 5*b**4 + 19*b**3 - 7*b**2 - 55*b - 34. Let g(f) = -i(f) - 4*q(f). Factor g(v).
-5*(v - 2)*(v + 1)**2*(v + 3)
Let -282/23*q - 2/23*q**2 + 0 = 0. Calculate q.
-141, 0
Let l = 1628 - 1626. Let j(r) be the third derivative of 2*r**l + 2/33*r**3 + 0*r - 1/660*r**6 + 0 + 0*r**5 + 1/44*r**4. Factor j(n).
-2*(n - 2)*(n + 1)**2/11
Let i(q) = -24 + 9 + 13 + 3*q + q**2. Let x be i(-5). Factor 4*t**2 + 20*t**3 - 15*t + x*t**2 + 7*t.
4*t*(t + 1)*(5*t - 2)
Let b(z) be the first derivative of -z**7/126 + z**6/15 - 11*z**5/60 + z**4/6 - 13*z + 13. Let u(g) be the first derivative of b(g). Find c such that u(c) = 0.
0, 1, 2, 3
Let n(i) be the first derivative of 0*i + 3*i**4 + 4/5*i**5 - 2*i**2 + 3 - 4/3*i**3 - 4/3*i**6. Suppose n(b) = 0. What is b?
-1, -1/2, 0, 1
Let u = -5/364 + 783/4004. Factor -u*h**2 + 16/11*h - 32/11.
-2*(h - 4)**2/11
Let r(o) = -o**2 - 4*o + 7. Let g be r(-5). Suppose -10*c**3 + 20*c**g + c**5 - 10*c**3 + 0*c**5 - 5*c**4 + 4*c**5 = 0. Calculate c.
-2, 0, 1, 2
Let x(f) be the third derivative of f**8/112 + 13*f**7/70 + 49*f**6/40 + 79*f**5/20 + 29*f**4/4 + 8*f**3 - f**2 + 47*f. Factor x(c).
3*(c + 1)**3*(c + 2)*(c + 8)
Factor 82/11*b + 2/11*b**2 + 80/11.
2*(b + 1)*(b + 40)/11
Let s(v) = v + 12. Let t be s(-5). Let z be ((-30)/70 - (-3)/t)/(-1). Factor -1/6*q**3 + z + 1/6*q**5 + 1/6*q**4 + 0*q - 1/6*q**2.
q**2*(q - 1)*(q + 1)**2/6
Let h(u) be the first derivative of 3 + 3/2*u**4 + 12*u + 6*u**2 - 7*u**3. Factor h(v).
3*(v - 2)**2*(2*v + 1)
Let o(s) = -2*s**3 - 5*s**2 - 4*s. Let g be o(-2). Factor -g - 2*b**2 + 7*b**2 - b**2.
4*(b - 1)*(b + 1)
Let x = 756 - 7559/10. Let c(g) be the first derivative of -4/15*g**3 + 2/25*g**5 + x*g**4 - 3 + 0*g + 0*g**2. Factor c(b).
2*b**2*(b - 1)*(b + 2)/5
Let l = -8 + 11. Let y(w) = -3*w**2 - 3*w + 1. Let f be y(-1). Solve -f - l*d**2 + 0 - 5 - 9*d = 0.
-2, -1
Suppose 12 = 6*q - 6. Suppose -32 + 36*n**2 - 48*n**4 - 6*n - 2*n + 44*n**4 + 8*n**q = 0. Calculate n.
-2, -1, 1, 4
Let h(s) be the second derivative of s**4/24 - 35*s**3/6 + 1225*s**2/4 - 2*s - 44. Factor h(r).
(r - 35)**2/2
Factor 31/3*o**2 - 59/3*o + 29/3 - 1/3*o**3.
-(o - 29)*(o - 1)**2/3
Let l(z) be the second derivative of 0 - 3/100*z**5 + 0*z**4 + 0*z**2 + 1/50*z**6 + 0*z**3 + 8*z. Factor l(x).
3*x**3*(x - 1)/5
Factor 20*r**2 + r - 20*r + 20 + 22 - r**3 - 42.
-r*(r - 19)*(r - 1)
Factor -1/6*r**3 - 7/6*r + 0 + 4/3*r**2.
-r*(r - 7)*(r - 1)/6
Suppose 0 = 24*k - 30*k + 12. Let a(f) be the first derivative of 6 + 15*f**4 - 18*f - 92/3*f**3 + 33*f**k - 18/5*f**5 + 1/3*f**6. Factor a(h).
2*(h - 3)**2*(h - 1)**3
Let u be (1008/(-1848))/(138/(-44) - -3). Factor -10/3*l + 0 + 25/3*l**2 - 20/3*l**3 + 5/3*l**u.
5*l*(l - 2)*(l - 1)**2/3
Let z(o) be the first derivative of 0*o**2 - 1/15*o**6 + 0*o**4 + 3*o - 1/10*o**5 + 0*o**3 + 5. Let j(x) be the first derivative of z(x). Factor j(u).
-2*u**3*(u + 1)
Let m(o) = -1 - o**3 - 14 - 13*o**2 - 14*o + 3. Let p be m(-12). Factor -10*g + p*g + g**3 - 1 + 3*g**2 + 1.
g*(g + 1)*(g + 2)
Let j(o) be the third derivative of -5*o**2 + 0 - 5/84*o**4 + 0*o - 1/210*o**5 + 2/7*o**3. Factor j(m).
-2*(m - 1)*(m + 6)/7
What is p in 31*p**2 - 3*p**4 + 600*p - 36 + 9*p**3 - p**5 - 600*p = 0?
-3, -2, 1, 3
Suppose 14 = -2*u + 4*x, 2*u - 13 = -6*x + x. Let o be (14 - u)*22/297. Factor -4/9*a - 2*a**3 - 2/9*a**5 + 14/9*a**2 + o*a**4 + 0.
-2*a*(a - 2)*(a - 1)**3/9
Let h be (18/1710)/(1/2). Let v(l) be the second derivative of -9*l - h*l**5 + 0 - 1/19*l**2 - 2/57*l**3 + 7/114*l**4. Factor v(t).
-2*(t - 1)**2*(4*t + 1)/19
Let o(m) be the third derivative of -m**7/1050 + m**6/75 + 19*m**5/300 + m**4/12 + 3*m**2 + 23. Factor o(h).
-h*(h - 10)*(h + 1)**2/5
Let y(h) be the second derivative of 5/84*h**7 + 0*h**2 + 0 - 43*h + 7/60*h**6 - 3/40*h**5 - 1/6*h**3 - 7/24*h**4. Solve y(s) = 0.
-1, -2/5, 0, 1
Let b = -212 - -227. Suppose -b = 8*u - 13*u. Determine y so that 21/5*y**u - 12/5*y + 9/5*y**5 + 0 - 6*y**4 + 12/5*y**2 = 0.
-2/3, 0, 1, 2
Let g(u) be the first derivative of -2*u**3/3 + 60*u**2 + 248*u + 340. Factor g(v).
-2*(v - 62)*(v + 2)
Let d be (((-240)/(-14))/(-4))/((-2)/14). Determine n, given that -d*n**3 - 17*n**2 + 51*n**2 + 10*n**3 - 16*n + 2*n**4 = 0.
0, 1, 8
Let v be 66/(-117) + (28/3)/7. Factor -2/13 - v*x + 12/13*x**2.
2*(x - 1)*(6*x + 1)/13
Let h(z) be the second derivative of z**8/840 - z**6/300 + 11*z**2/2 + 17*z. Let v(y) be the first derivative of h(y). Factor v(c).
2*c**3*(c - 1)*(c + 1)/5
Let l(u) be the first derivative of u**4/4 + u**3/3 - u**2 + 525. Find k such that l(k) = 0.
-2, 0, 1
Let l(a) = -a**3 - 4*a**2 - 2*a - 2. Let d(f) = -f**3 - 76*f**2 - 70*f - 10. Let s(w) = d(w) - 5*l(w). Factor s(o).
4*o*(o - 15)*(o + 1)
Suppose 11 - 7 = 2*j. Let n be 3 + (j - 2 - -3). Factor x**4 + 2*x**3 + n*x + 2*x**3 - 