+ 2*s.
-2*s*(s - 1)*(s + 2)*(4*s + 1)
Let u(y) = 4*y**5 + 4*y**4 + 8*y**2 + 8*y + 8. Let k(s) = s**5 - s**4 + s**2 + s + 1. Let q(x) = -8*k(x) + u(x). Factor q(h).
-4*h**4*(h - 3)
Suppose -39*i + 10 = -34*i. Let 2/5 + 4/5*r**4 + 1/5*r - 4/5*r**3 + 3/5*r**5 - 6/5*r**i = 0. Calculate r.
-1, 2/3, 1
Let u be (417/(-9))/((-368)/6). Let b = u + -1/184. Factor 0 - 3/2*z + b*z**2.
3*z*(z - 2)/4
Let l(r) be the first derivative of 1/6*r**3 + 1/4*r**2 - 2 + 0*r. Factor l(k).
k*(k + 1)/2
Let k be 4/8 + 10/4. Let 1/4*r**k - 1/4 - 3/4*r**2 + 3/4*r = 0. Calculate r.
1
Factor 4*l**2 + l - l - 7*l**2.
-3*l**2
Let s(q) = 4*q**3 - 6*q**2 + 2. Let g = 4 + -2. Let w(z) = -3*z**3 + 5*z**2 - z - 1. Let m(a) = g*s(a) + 3*w(a). Factor m(u).
-(u - 1)**3
Let w(q) be the third derivative of -1/60*q**5 + 1/210*q**7 + 0 + 0*q**6 + 0*q - 10*q**2 + 0*q**3 + 0*q**4. Factor w(f).
f**2*(f - 1)*(f + 1)
Suppose p + 4 + 4 = 2*o, 4*p - o - 3 = 0. What is i in -p*i**2 - 3*i**2 + 6*i + 3*i**4 + 2*i**2 - 6*i**3 = 0?
-1, 0, 1, 2
Let o(w) = -w**4 - w. Let u(f) = -13*f**4 - 6*f**3 + 15*f**2 + 8*f. Let p(a) = 2*o(a) + u(a). Factor p(b).
-3*b*(b - 1)*(b + 1)*(5*b + 2)
Factor -16/11*g - 14/11*g**2 + 32/11 - 2/11*g**3.
-2*(g - 1)*(g + 4)**2/11
Factor 0*u - 1/8*u**3 + 0 - 1/8*u**2.
-u**2*(u + 1)/8
Suppose -m = -3*m. Let u(s) be the second derivative of -s + 0 - 1/36*s**4 + 0*s**3 + m*s**2. Determine x, given that u(x) = 0.
0
Let c**4 + 9*c - 3*c**5 + 4 - 11 + 4 + 8*c**4 - 6*c**2 - 6*c**3 = 0. What is c?
-1, 1
Let r(m) be the first derivative of 0*m - 2/15*m**3 - 5 + 0*m**2 - 2/25*m**5 + 1/5*m**4. Factor r(x).
-2*x**2*(x - 1)**2/5
Factor -2*d**2 - 3*d**2 + 0*d**2 - 2*d**2 + 19*d + 6.
-(d - 3)*(7*d + 2)
Let q(v) = -5*v**3 + 17*v**2 - 37*v + 13. Let m(j) = 4*j**3 - 18*j**2 + 36*j - 14. Let h(z) = 3*m(z) + 2*q(z). Factor h(n).
2*(n - 8)*(n - 1)**2
Let g(d) = -d**3 - 9*d**2 - 2*d - 11. Let a be g(-9). Let u(x) = x - 3. Let f be u(a). Factor t**3 - 3/2*t**f + 1/2 - 3/2*t + t**2 + 1/2*t**5.
(t - 1)**4*(t + 1)/2
Let c(v) = -v**2 + 8*v - 5. Let z be 1*(-3)/(-3) - -6. Let d be c(z). Factor 0*n**d + 0*n**3 + n - 2*n**2 + n**3.
n*(n - 1)**2
Suppose o + 1 = 3. Let a(v) be the first derivative of 2 + 3*v**2 + o*v - 8/3*v**3. Factor a(m).
-2*(m - 1)*(4*m + 1)
Let d(k) be the second derivative of k**5/5 + k**4/3 - 4*k**3/3 + 8*k. Factor d(n).
4*n*(n - 1)*(n + 2)
Solve -1/3*t**3 + 2/3 + t + 0*t**2 = 0.
-1, 2
Let g(k) be the first derivative of 0*k**3 - 1 + 0*k - 1/4*k**4 + 2/5*k**5 + 0*k**2 - 1/6*k**6. Let g(u) = 0. What is u?
0, 1
Let o(t) be the second derivative of 9*t**5/40 + 11*t**4/24 + t**3/6 - 4*t. Factor o(h).
h*(h + 1)*(9*h + 2)/2
Let r(x) be the second derivative of -1/150*x**5 + 0 + 2*x - x**2 + 0*x**3 + 0*x**4. Let w(j) be the first derivative of r(j). Factor w(n).
-2*n**2/5
Let s(v) be the second derivative of v**5/20 - v**4/6 - v**3/3 + 2*v. Let z be s(3). Solve x**5 + 0*x**5 + z*x**3 - 4*x**3 = 0 for x.
-1, 0, 1
Let f = -40 + 44. Let l(x) be the second derivative of f*x**2 - 3/10*x**5 + 0 + 8/3*x**3 + 2*x + 1/6*x**4. What is k in l(k) = 0?
-1, -2/3, 2
Let r(s) be the first derivative of s**7/42 - s**5/10 + s**3/6 - 3*s - 1. Let u(c) be the first derivative of r(c). Factor u(o).
o*(o - 1)**2*(o + 1)**2
Find j, given that -8 + 60*j + 4*j**3 + 43 + 1 + 28*j**2 = 0.
-3, -1
Let g(h) be the second derivative of h**6/10 + 3*h**5/5 + h**4 - 4*h. Factor g(a).
3*a**2*(a + 2)**2
Let m be (-18)/(-27)*(-3 + (-42)/(-8)). Factor -m*d**5 + 3*d**3 + 0*d**4 + 0*d**2 + 0 - 3/2*d.
-3*d*(d - 1)**2*(d + 1)**2/2
Let h be 1/8 - 465/(-248). Let x = 412/3 - 136. Find y, given that -x*y + 2/3*y**h + 2/3 = 0.
1
Let g be (-16)/(-2) - 0/(-3). Factor 6 - g*c + 2*c**2 - 4*c + 12.
2*(c - 3)**2
What is t in -3*t**3 + t**5 - 3*t**4 + 2*t**5 + 2*t**3 - 8*t**3 + 3*t**2 + 6*t = 0?
-1, 0, 1, 2
Let r(z) be the third derivative of z**8/20160 - z**7/3780 + z**6/2160 + z**5/60 - 4*z**2. Let f(w) be the third derivative of r(w). Factor f(v).
(v - 1)*(3*v - 1)/3
Suppose -16/5*g**5 + 0 - 8/5*g - 96/5*g**3 + 52/5*g**2 + 68/5*g**4 = 0. Calculate g.
0, 1/4, 1, 2
Let b(w) be the first derivative of 0*w**2 - 3/5*w**5 + 0*w**3 - 3/8*w**4 + 0*w - 1/4*w**6 + 5. Factor b(j).
-3*j**3*(j + 1)**2/2
Suppose -5*p + 15 = 5*z, -3*z - 2*p + 14 - 4 = 0. Factor z*a - 5*a**2 + 0 + a**2 - 2 + 2*a**2.
-2*(a - 1)**2
Let k(m) be the second derivative of m**4/48 + m**3/12 - 14*m. Factor k(s).
s*(s + 2)/4
Let f(l) be the second derivative of -l**4/72 - l**3/12 - l**2/6 + 5*l. Suppose f(t) = 0. Calculate t.
-2, -1
Let y(t) be the first derivative of -3*t**4/10 - 112*t**3/15 - 279*t**2/5 - 324*t/5 - 37. Factor y(j).
-2*(j + 9)**2*(3*j + 2)/5
Factor 121/6*c**3 - 6 + 11/6*c**2 - 16*c.
(c - 1)*(11*c + 6)**2/6
Let t(q) = -6*q + 38. Let v be t(6). Suppose -l + 1/2 + 1/2*l**v = 0. Calculate l.
1
Let j(y) be the second derivative of y**5/20 + y**4/12 - y**3/3 + 4*y. Factor j(z).
z*(z - 1)*(z + 2)
Suppose 3*s - 5 = 13. Let r be (s/(-8))/((-15)/40). Factor 3/5*w**r + 12/5*w + 12/5.
3*(w + 2)**2/5
Let d be -1 - ((2 - 0) + -3). Let q(y) be the first derivative of -2/9*y**3 - 1/6*y**2 + d*y + 1. Determine z, given that q(z) = 0.
-1/2, 0
Suppose 2*f - 2*d = -2, -f + 2 = -4*f + 2*d. Factor 0 + f*a + 1/4*a**2.
a**2/4
Let p(y) be the first derivative of -y**4/14 + 4*y**3/21 - y**2/7 - 28. Factor p(i).
-2*i*(i - 1)**2/7
Let s(v) be the second derivative of -v + 0 - 1/2*v**2 - 1/12*v**4 - 1/3*v**3. Solve s(t) = 0.
-1
Let t(i) be the first derivative of -14*i**3/15 + 51*i**2/5 - 28*i/5 + 17. Factor t(b).
-2*(b - 7)*(7*b - 2)/5
Let z(t) = -t**2 + t. Let m(i) = 20*i**2 + 32*i + 8. Let k(a) = m(a) + 4*z(a). Factor k(p).
4*(p + 2)*(4*p + 1)
Let x be -53 - ((1 - -2) + 0). Let j = 170/3 + x. Factor c**2 + 0 + j*c + 1/3*c**3.
c*(c + 1)*(c + 2)/3
Suppose 32 - 32 = -3*c. Suppose -2*v - 2 = 3*r - 6, 0 = -2*v + 5*r + 4. Find m such that 0 + 2/3*m**v - 2/3*m**5 + c*m - 2*m**3 + 2*m**4 = 0.
0, 1
Let s(w) be the third derivative of w**8/504 - w**7/315 - w**6/90 + w**5/45 + w**4/36 - w**3/9 - 5*w**2. Factor s(n).
2*(n - 1)**3*(n + 1)**2/3
Let j(c) be the first derivative of c**8/2520 - c**7/630 + c**5/90 - c**4/36 - 8*c**3/3 - 6. Let s(w) be the third derivative of j(w). Factor s(m).
2*(m - 1)**3*(m + 1)/3
Solve -2/5*d**3 + 1/5*d + 0 + 1/5*d**5 + 0*d**4 + 0*d**2 = 0.
-1, 0, 1
Let y(u) be the second derivative of 0 + 0*u**2 + u - 1/28*u**4 - 1/14*u**3 + 3/140*u**5 + 1/70*u**6. Find d, given that y(d) = 0.
-1, 0, 1
Let z(l) = -l**5 - 2*l**4 + 4*l**2 + l. Let u(s) = -4*s**5 - 6*s**4 + 13*s**2 + 4*s. Let g(p) = -6*u(p) + 21*z(p). Determine r, given that g(r) = 0.
-1, 0, 1
Suppose 4*p = 3*d + 12, -4*p = d + 3*d - 12. Suppose 1/2*h**2 + d*h**3 + 0 - 1/2*h**4 + 0*h = 0. Calculate h.
-1, 0, 1
Let o(t) be the second derivative of t**4/78 + t**3/13 - 12*t. Let o(y) = 0. What is y?
-3, 0
Let x = 30 - 88/3. Let w(k) be the first derivative of -2/9*k**3 - 2/3*k**2 - 1 - x*k. Suppose w(q) = 0. What is q?
-1
Let i = -1564/5 + 314. Find x, given that 6/5*x**2 - 2/5*x**5 + 4/5*x - i*x**4 - 2/5*x**3 + 0 = 0.
-2, -1, 0, 1
Suppose 0 = 5*m - 9 - 31. Suppose -5*g - m = -2*f, -3*f + 8 = -f + g. Factor -4/7*h**3 - 2/7*h**2 + 0 - 2/7*h**f + 0*h.
-2*h**2*(h + 1)**2/7
Factor 12/7*m - 12/7 - 3/7*m**2.
-3*(m - 2)**2/7
Factor -1/4*n**3 - 1/4*n**4 + 0 + 1/4*n**2 + 0*n + 1/4*n**5.
n**2*(n - 1)**2*(n + 1)/4
Factor 0 - 99/8*s**3 + 3/8*s**4 - 3993/8*s + 1089/8*s**2.
3*s*(s - 11)**3/8
Let t be -5 + (-2)/(6/3). Let c = -3 - t. Factor -4/3*g**4 + 0 - 2*g**2 - c*g**3 - 1/3*g.
-g*(g + 1)**2*(4*g + 1)/3
Suppose 3*z - 6 = 2*z. Factor y - 10*y**3 + 3*y + 0*y + z*y**2.
-2*y*(y - 1)*(5*y + 2)
Let x be 0*(2 - 0)*1/2. Let j(a) be the first derivative of x*a - 1/2*a**2 - 1/3*a**3 - 2. Determine n, given that j(n) = 0.
-1, 0
Find o, given that 8/7*o**3 + 4/7*o**4 + 0 + 4/7*o**2 + 0*o = 0.
-1, 0
Let u(v) be the third derivative of v**7/42 + v**6/24 - 5*v**5/12 + 5*v**4/8 - 34*v**2. Solve u(r) = 0 for r.
-3, 0, 1
Let r(g) = 5*g**4 - 4*g**3 - 15*g**2 + 10*g + 4. Let w(j) = 10*j**4 - 7*j**3 - 30*j**2 + 20*j + 7. Let s(u) = -7*r(u) + 4*w(u). Solve s(a) = 0 for a.
-2, 0, 1
Let u(j) be the second derivative of j**4/12 - 13*j**3/6 - 11*j**2/2 + 6*j. Let w be u(14). Factor 2/7*k**2 - 2/7*k - 2/7 + 2/7*k**w.
2*(k - 1)*(k + 1)**2/7
Determine d so that 