+ 4/5*a**2 + 0 + 6/5*a**f + 4/5*a**4 = 0. Calculate a.
-1, 0
Let t(b) = 2*b**5 - b**4 + 3*b**3 + 3*b**2 + 3. Let i(q) = -4*q**5 + q**4 - 5*q**3 - 5*q**2 - 5. Let r(a) = 3*i(a) + 5*t(a). Factor r(l).
-2*l**4*(l + 1)
Let c = 54/35 + -8/7. Let k be (1/2)/((-20)/(-8)). Factor -k*s - 1/5*s**3 + c*s**2 + 0.
-s*(s - 1)**2/5
Factor -4/5*a**3 + 4/5*a + 2/5 - 2/5*a**4 + 0*a**2.
-2*(a - 1)*(a + 1)**3/5
Let g = 793/209 - 40/11. Let s = g + 10/57. Factor t - t**2 + s*t**3 - 1/3.
(t - 1)**3/3
Let t(w) be the second derivative of 0*w**2 - 1/48*w**4 - 1/2*w**3 + 0*w**5 + 1/720*w**6 + 0 - w. Let p(z) be the second derivative of t(z). Factor p(o).
(o - 1)*(o + 1)/2
Let h(x) be the third derivative of 2*x**7/105 - x**6/30 - 2*x**2. Solve h(g) = 0 for g.
0, 1
Let v = -277/6 - -95/2. Solve 0 - 5/3*p**2 - 1/3*p**4 - 2/3*p - v*p**3 = 0.
-2, -1, 0
Let f = 19 - 14. Let b(c) be the third derivative of -2*c**2 + 1/70*c**f + 0 - 2/21*c**3 + 0*c + 1/84*c**4. Factor b(l).
2*(l + 1)*(3*l - 2)/7
Find b, given that 0*b**2 - b + 1/3*b**3 - 2/3 = 0.
-1, 2
Let r(t) be the first derivative of 0*t + 2 + 3/2*t**2 + 0*t**3 - 1/48*t**4 - 1/120*t**5. Let o(b) be the second derivative of r(b). Factor o(d).
-d*(d + 1)/2
Let z = 5/24 + -1/24. Factor z*h**2 - 1/6*h**3 + 0 + 1/6*h - 1/6*h**4.
-h*(h - 1)*(h + 1)**2/6
Suppose -3*u - 8 = 2*v, 4*v - 6 = u + 3*v. Let n(i) = -i**3 - 5*i**2 - 6*i - 6. Let q be n(u). Find k such that q*k**2 + k - k = 0.
0
Suppose 3*r = 2*r. Let o(i) be the second derivative of 0*i**4 + 0 + 1/80*i**5 + r*i**2 + 0*i**3 + i + 1/120*i**6. Determine u, given that o(u) = 0.
-1, 0
Let j(l) be the second derivative of l**7/1050 - l**6/300 + l**5/300 + 3*l**2/2 - 2*l. Let w(z) be the first derivative of j(z). Factor w(x).
x**2*(x - 1)**2/5
Suppose 4*l - 3*l - 4 = 0. Let 2*h**3 + 4*h - h**5 - l*h - h**3 = 0. What is h?
-1, 0, 1
Suppose -14 = -9*y + 4*y - 4*k, -2*y + 5 = k. Suppose -5*s - 16 = 3*b - 4, 0 = -4*s + 3*b + 12. Solve s - 4/7*t**y - 2/7*t**3 - 2/7*t = 0.
-1, 0
Let t(h) = -8*h - 6. Let w(d) = 7*d + 5. Let n(l) = -6*t(l) - 7*w(l). Let m be n(1). Let m - 4/7*p + 2/7*p**2 = 0. Calculate p.
0, 2
Let n(s) = -2*s**3 + s**2 + s - 3. Let p(f) = 10*f**3 - 4*f**2 - 6*f + 16. Let l(w) = -16*n(w) - 3*p(w). Factor l(h).
2*h*(h - 1)**2
Let d = 10 + -7. Suppose 2*a**4 - d - 8*a**3 + 5 + 0*a**4 + 4*a**2 - 8*a + 8*a**2 = 0. Calculate a.
1
Determine j, given that 1/3*j**2 - 2/3 + 1/3*j = 0.
-2, 1
Let f(x) be the first derivative of -6*x**5/35 - 11*x**4/14 - 10*x**3/7 - 9*x**2/7 - 4*x/7 + 5. Factor f(j).
-2*(j + 1)**3*(3*j + 2)/7
Let v(b) be the first derivative of b**3 - 3*b**2/2 + 4. Solve v(u) = 0 for u.
0, 1
Let t(x) = 10*x**2 + 21*x + 38. Let v(f) = -5*f**2 - 11*f - 18. Let l(g) = -4*t(g) - 9*v(g). Factor l(d).
5*(d + 1)*(d + 2)
Let a(t) be the second derivative of -t**7/420 - t**6/25 - 27*t**5/100 - 14*t**4/15 - 7*t**3/4 - 9*t**2/5 - 2*t - 18. Suppose a(y) = 0. Calculate y.
-4, -3, -1
Factor -2/5*j**2 + 0*j**3 + 0 + 1/5*j**5 + 2/5*j**4 - 1/5*j.
j*(j - 1)*(j + 1)**3/5
Factor 0 + 2/11*x**3 + 0*x**2 - 2/11*x.
2*x*(x - 1)*(x + 1)/11
Let h(n) be the third derivative of n**6/90 - n**5/5 + 10*n**4/9 - 8*n**3/3 - 21*n**2 - 2. Factor h(x).
4*(x - 6)*(x - 2)*(x - 1)/3
Let y(d) = -d**5 - d**4 + d**3 + 1. Let a(o) = -4*o**4 + 2*o**2 + 2. Let f(z) = 2*a(z) - 4*y(z). Factor f(h).
4*h**2*(h - 1)**2*(h + 1)
Let s(q) be the third derivative of q**8/336 - q**7/210 - q**6/60 + q**5/30 + q**4/24 - q**3/6 + 5*q**2. Factor s(x).
(x - 1)**3*(x + 1)**2
Factor 3*k**2 - 6*k - 2*k**3 + 5 - 13*k**2 + 13.
-2*(k - 1)*(k + 3)**2
Suppose 2*d - b = b, -3*b = -6. Let y(p) be the first derivative of 2/9*p**2 - 2/9*p - 2/27*p**3 + d. Determine h, given that y(h) = 0.
1
Let o(s) be the first derivative of 3/25*s**5 - 3/10*s**6 + 0*s**3 + 0*s + 0*s**2 + 2 + 3/10*s**4. Suppose o(m) = 0. What is m?
-2/3, 0, 1
Let t = -6 - -6. Let v(s) be the third derivative of -7/120*s**6 - 11/24*s**4 + 1/3*s**3 + 4/15*s**5 + 0 + 2*s**2 + t*s. Factor v(b).
-(b - 1)**2*(7*b - 2)
Suppose -t + 4*t - 6 = 2*a, t + 6 = -2*a. Determine n so that -2*n**2 + 2*n - 2*n**3 - 2*n + t*n = 0.
-1, 0
Determine u, given that -2/5*u**5 + 2/5*u + 4/5*u**4 + 0*u**3 - 4/5*u**2 + 0 = 0.
-1, 0, 1
Factor n**2 - 3*n**3 + 5*n - 22*n**2 + 5 - 47*n - 29.
-3*(n + 1)*(n + 2)*(n + 4)
Let u(y) be the second derivative of -y**4/12 - y**3 + 29*y. Let u(f) = 0. What is f?
-6, 0
Let y(l) = l**2 - l + 2. Let x be y(0). Let 0 - 1/4*c + 1/4*c**x = 0. What is c?
0, 1
Determine y, given that -3/8*y**3 + 0*y**2 - 3/8*y**5 + 0 + 0*y - 3/4*y**4 = 0.
-1, 0
Let o(d) = -6*d - 54. Let n be o(-9). What is s in -1/2*s**3 + 3/2*s**2 + n - s = 0?
0, 1, 2
Suppose 16 = 13*w - 23. Find h such that -3/7*h**w - 3/7*h + 0 + 6/7*h**2 = 0.
0, 1
Let c(m) be the third derivative of -m**8/1008 + m**6/360 - 10*m**2. Factor c(j).
-j**3*(j - 1)*(j + 1)/3
Let q = -5386 + 710969/132. Let h = 4/33 + q. Factor -h*u**3 + 1/4*u**5 - 1/4*u**2 + 0 + 1/4*u**4 + 0*u.
u**2*(u - 1)*(u + 1)**2/4
Let w be 18/(-8) + 2/8. Let x be w/(-2) + 1 - -1. Find o such that -4*o**x + 4*o**4 - 4*o**5 - 2 + 4*o**2 - 7*o + 11*o + 10*o**4 - 12*o**3 = 0.
-1/2, 1
Let d(y) be the third derivative of -y**7/10080 + y**6/1440 + y**4/4 + y**2. Let k(l) be the second derivative of d(l). Solve k(f) = 0.
0, 2
Let g(b) = 41*b**2 + 13*b. Let u(m) = 40*m**2 + 12*m. Let t = -10 + 6. Let v(z) = t*g(z) + 5*u(z). Let v(a) = 0. What is a?
-2/9, 0
Suppose 0 = -2*o + 5*o. Suppose 4*f + 12 = -4*g, o*f + 5*g + 35 = 5*f. Factor 2*t + 12*t**3 + 4*t**f + 2*t**5 + 0*t**5 - 7*t**2 - 5*t**2 - 8*t**4.
2*t*(t - 1)**4
Suppose -1 = f - m, 3*f + 1 - 13 = -2*m. Determine b, given that 0 + 0*b**4 + 0*b**f + 0*b - 2/7*b**5 + 2/7*b**3 = 0.
-1, 0, 1
Let y(z) be the first derivative of -10/3*z**3 - 2/5*z**5 + 3 + 2*z**2 + 2*z**4 + 0*z. Factor y(m).
-2*m*(m - 2)*(m - 1)**2
Let i(g) be the third derivative of -g**6/1440 + g**5/240 - g**3/18 - 17*g**2. Factor i(b).
-(b - 2)**2*(b + 1)/12
Let k = -15 + 10. Let n(o) = -12*o**2 - 12*o + 24. Let l(b) = 4*b**2 + 4*b - 8. Let f(a) = k*n(a) - 16*l(a). Solve f(r) = 0.
-2, 1
Let d be -4 + -39*4/(-36). Suppose j**3 - 1/3*j**5 - d*j**2 + 1/3*j**4 - 2/3*j + 0 = 0. What is j?
-1, 0, 1, 2
What is i in 10/3*i**4 + 0 - 14/3*i**5 - 4/3*i + 6*i**3 - 10/3*i**2 = 0?
-1, -2/7, 0, 1
Let y(b) be the second derivative of -b**6/540 + b**5/54 - 7*b**4/108 + b**3/9 - 2*b**2 + 6*b. Let a(m) be the first derivative of y(m). Factor a(z).
-2*(z - 3)*(z - 1)**2/9
Suppose 28 = 6*m + 8*m. Factor 0*p + 4/3*p**m + 0*p**3 - 2/3*p**4 - 2/3.
-2*(p - 1)**2*(p + 1)**2/3
Factor -v**2 - 2*v**2 - v**2.
-4*v**2
Let n(h) be the first derivative of h**4 + 0*h + 0*h**2 - 6 - 2/5*h**5 - 2/3*h**3. Factor n(f).
-2*f**2*(f - 1)**2
Let b = -11/10 + 8/5. Let a(s) be the first derivative of b*s + s**3 + 11/8*s**2 + 1. Find l such that a(l) = 0.
-2/3, -1/4
Let r(o) be the second derivative of o**6/120 + o**5/30 + o**4/24 - o**2 - o. Let a(f) be the first derivative of r(f). Suppose a(n) = 0. Calculate n.
-1, 0
Factor -6*s**3 + 6*s**3 + 0*s**4 + 3*s**4 + 3*s**5.
3*s**4*(s + 1)
Let q(g) = 3*g + 4 - 12*g - 7. Let x(u) = u**2 - 10*u - 4. Let s(o) = 4*q(o) - 3*x(o). Suppose s(r) = 0. Calculate r.
-2, 0
Suppose -5*r + 16 + 9 = 0. Factor 0 + 2/11*g**r + 0*g**3 + 0*g + 4/11*g**4 + 0*g**2.
2*g**4*(g + 2)/11
Suppose 0 = 4*y + 16, 9*y - 4*y = -f - 16. Factor 4*r**3 - 9*r**3 + f*r**3.
-r**3
Let s(o) be the second derivative of -o**4/12 + o**3 - 3*o**2/2 + 2*o. Let w be s(5). Factor 10*h**2 + 5*h + w - 2*h**2 - 15*h.
2*(h - 1)*(4*h - 1)
Let s(k) be the second derivative of -k**5/5 - k**4/3 + 4*k**3/3 - 5*k. Suppose s(u) = 0. What is u?
-2, 0, 1
Factor 2/9*o**2 + 4/9*o + 10/9*o**4 + 0 - 16/9*o**3.
2*o*(o - 1)**2*(5*o + 2)/9
Let p(h) = -h**3 + 7*h**2 - 5*h. Let l be p(6). Let z be (l/(-8))/(4/(-16)). Factor -3*y - 3*y**2 + 2 + 6*y + y**3 - z.
(y - 1)**3
Let f = -6/283 - -301/849. Factor 8/3*h**2 - 5/3*h + f - 4/3*h**3.
-(h - 1)*(2*h - 1)**2/3
Factor 3*g + 1 - 9*g**2 + 13 - 2.
-3*(g + 1)*(3*g - 4)
Factor 0 + 1/2*x - 1/2*x**3 + 0*x**2.
-x*(x - 1)*(x + 1)/2
Let q(m) = -23*m**2 + 23*m. Let p(n) = -8*n**2 + 8*n. Let c(z) = -17*p(z) + 6*q(z). Factor c(y).
-2*y*(y - 1)
Let s(o) be the second derivative of 2*o + 0*o**4 + 3/2*o**2 + 0 + 3/4*o**3 - 3/40*o**5. Factor s(w).
-3*(w - 2)*(w + 1)**2