h that 2 - 4/3*a + 2/9*a**2 = 0.
3
Factor -2*r**3 - 3*r**3 - 3*r**4 + 2*r**3.
-3*r**3*(r + 1)
Let k(a) be the first derivative of -a**6/360 + a**5/60 - 2*a**3/9 - a**2 + 2. Let y(h) be the second derivative of k(h). Solve y(l) = 0 for l.
-1, 2
Let k = -88/9 - -10. Factor 0 + 4/9*x**2 + 2/9*x + k*x**3.
2*x*(x + 1)**2/9
Let h = -38918/3 - -12814. Let t = h + 160. What is v in t + 2/3*v**2 - 2*v = 0?
1, 2
Let k = 316/63 + -32/7. Factor -2/9*m + 0*m**3 + 2/9*m**5 - 4/9*m**2 + k*m**4 + 0.
2*m*(m - 1)*(m + 1)**3/9
Let v(c) be the third derivative of c**10/151200 + c**9/15120 + c**8/5040 + c**5/60 - 3*c**2. Let y(r) be the third derivative of v(r). Factor y(s).
s**2*(s + 2)**2
Let n(a) be the third derivative of a**4/24 - 3*a**3/2 - 4*a**2. Let y be n(11). Factor 6/5*u - 4/5 + 2*u**y.
2*(u + 1)*(5*u - 2)/5
Let d(f) = -6*f**2 + 10*f + 9. Let i(b) = b**2 - b - 1. Let s(v) = 2*d(v) + 14*i(v). Find x, given that s(x) = 0.
-2, -1
Factor 13 + 47 - 2*m + 5*m**2 - 33*m.
5*(m - 4)*(m - 3)
Let n be -15 - ((-6)/2 + 3). Let p be 5/n - 2/(-2). What is x in p*x**2 + 4/9*x**3 - 8/9 - 8/9*x - 2/9*x**4 = 0?
-1, 2
Let g(p) be the first derivative of 2*p**2 + 25/12*p**6 + 35/4*p**4 - 17/3*p**3 - 2 - 55/8*p**5 - 2*p. Let h(s) be the first derivative of g(s). Factor h(q).
(q - 1)*(5*q - 2)**3/2
Let z(q) = -q**4 - q**3 + q**2 + 1. Let f(v) = 10*v**4 + 12*v**3 - 6*v**2 + v - 9. Let l(s) = 2*f(s) + 18*z(s). Determine g, given that l(g) = 0.
-1, 0
Let q(s) be the second derivative of 3*s + 0*s**3 + 0*s**2 - 1/126*s**7 + 1/60*s**5 + 1/36*s**4 + 0 - 1/90*s**6. Determine j so that q(j) = 0.
-1, 0, 1
Let k = 59912/5517 + 18/613. Let m = -565306/9 - -62892. Suppose 448/9*y**4 + 16/9 + m*y**3 + k*y**5 + 508/9*y**2 + 152/9*y = 0. What is y?
-2, -1, -2/7
Let n be (-10)/(-15) + 20/6. Let p(l) = l**3 - 5*l**2 + 5*l. Let t be p(n). Let -4*c**2 + 8/3*c - 2/3*c**t - 2/3 + 8/3*c**3 = 0. Calculate c.
1
Let m(x) be the second derivative of -x**5/20 - 7*x**4/12 + x**3/6 + 9*x**2/2 + 6*x. Let r be m(-7). Factor 2/5*b**3 + 6/5*b - 2/5 - 6/5*b**r.
2*(b - 1)**3/5
Let v = -3/124 + 19/465. Let l(q) be the third derivative of 0*q - v*q**4 + 0 - q**2 - 1/75*q**5 + 0*q**3 - 1/300*q**6. Find c, given that l(c) = 0.
-1, 0
Let o(f) be the third derivative of -1/20*f**5 + 0*f**4 + 0*f**3 - 3/40*f**6 - 3*f**2 - 1/112*f**8 + 0 - 3/70*f**7 + 0*f. Factor o(m).
-3*m**2*(m + 1)**3
Let u(d) be the third derivative of d**5/12 - 5*d**4/4 + 25*d**3/6 - 11*d**2. Factor u(m).
5*(m - 5)*(m - 1)
Let f(y) be the second derivative of -y**5/30 - 7*y**4/72 - y**3/18 + y**2/12 - 12*y. Factor f(m).
-(m + 1)**2*(4*m - 1)/6
Factor 1/3*p**3 - 1/3 + p - p**2.
(p - 1)**3/3
Suppose 0 = -3*r - 3*s, 4*r = -6*s + s. Find x such that x**2 + r*x - 1/2*x**3 + 0 - x**4 + 1/2*x**5 = 0.
-1, 0, 1, 2
Let z be (-2)/3*63/(-14). Let u(n) be the first derivative of -1 + 2/3*n**z + 1/6*n**4 + 2/3*n**2 + 0*n. Suppose u(b) = 0. What is b?
-2, -1, 0
Factor 1/2*l**4 - 2*l**2 + 7/4*l + 1/2*l**3 - 1/4*l**5 - 1/2.
-(l - 1)**4*(l + 2)/4
Suppose 0*c = -q - 2*c - 8, -q + 7 = -c. Determine r, given that 2/7 + 4/7*r + 2/7*r**q = 0.
-1
Let t(p) be the first derivative of -p**3/6 + 3*p**2/2 - 5*p/2 - 8. Let t(m) = 0. What is m?
1, 5
Suppose v - 3 = -1. Let 8*d**2 + d + 2*d**3 - d - 4*d**v = 0. What is d?
-2, 0
Let a(s) be the second derivative of s**4/12 - s**3/6 + 4*s. Let h(n) = -20*n**3 + 29*n**2 - 7*n - 2. Let d(x) = -6*a(x) + h(x). Let d(t) = 0. What is t?
-1/4, 2/5, 1
Find f, given that 9/2*f + 21/4 - 3/4*f**2 = 0.
-1, 7
Let z(q) = q**4 - 4*q**3 + 13*q**2 + 5*q + 5. Let b(g) = -4*g**3 + 12*g**2 + 4*g + 4. Let x(s) = 5*b(s) - 4*z(s). Factor x(a).
-4*a**2*(a - 1)*(a + 2)
Let q(n) be the third derivative of n**5/105 - n**4/28 + n**3/21 + 33*n**2. Determine s, given that q(s) = 0.
1/2, 1
Factor 0 + 2/3*n**3 - 16/3*n**2 + 32/3*n.
2*n*(n - 4)**2/3
Let p = 188/373 - 3/746. Factor p*f**4 - 1/2 - f**3 + f + 0*f**2.
(f - 1)**3*(f + 1)/2
Let 5/4*n - 5/2 + 15/4*n**2 - 5/4*n**4 - 5/4*n**3 = 0. What is n?
-2, -1, 1
Suppose 0 = -0*n - 2*n + 4. Suppose -3*v = n*v. Factor -2*u**2 + v*u**2 + u**3 + u**2.
u**2*(u - 1)
Let c be (-32)/20*(-5)/2. Let g = 1 + c. Let 0*o**3 + 4/3*o**4 + 0 + 2/3*o**g - 2/3*o - 4/3*o**2 = 0. Calculate o.
-1, 0, 1
Suppose -8*x + 5*x = -3. Let n be (x - 13)*(-10)/30. Find h such that 1/2*h**5 + 0*h - 1/2*h**2 - 3/2*h**n + 3/2*h**3 + 0 = 0.
0, 1
Let u(p) = -8*p**3 - 12*p**2 + 4*p + 59. Let a(f) = 39*f**3 + 60*f**2 - 21*f - 294. Let l(j) = -5*a(j) - 24*u(j). Determine g so that l(g) = 0.
-3, 2
Let t(v) be the third derivative of -v**7/840 + v**6/240 + v**5/20 + v**4/6 - v**2. Let u(j) be the second derivative of t(j). Suppose u(p) = 0. Calculate p.
-1, 2
Let y(m) be the first derivative of -m**4/4 - 2*m**3/3 - m**2/2 - 5. Factor y(i).
-i*(i + 1)**2
Suppose -5*k + 10 = -0*k. Let z(y) = y**3 - 19*y**2 - 20*y + 2. Let j be z(20). Solve 5*b + j*b**2 + 0 - b + 0*b**2 + k = 0.
-1
Let g = -1 + 5. Let s(v) be the first derivative of 1 + 0*v + 0*v**3 - 1/4*v**g + 1/2*v**2. Factor s(m).
-m*(m - 1)*(m + 1)
Let k(g) be the third derivative of g**6/30 - g**5/60 + 9*g**2. Factor k(z).
z**2*(4*z - 1)
What is y in -2*y**2 - 7*y**2 + 8*y - 2*y**4 - 7*y**2 + 10*y**3 = 0?
0, 1, 2
Let 16/5*t**3 + 28/5*t**5 - 8/5 - 56/5*t**2 + 64/5*t**4 - 44/5*t = 0. Calculate t.
-1, -2/7, 1
Let t(l) be the second derivative of -l**5/20 - 9*l. Factor t(y).
-y**3
Let k(y) = -26*y - 286. Let q be k(-11). Factor q*r + 0 + 0*r**2 + 2/3*r**3 + 2/3*r**4.
2*r**3*(r + 1)/3
Let c be (-3)/(-45)*31 + -2 + 0. Let d(q) be the third derivative of 1/60*q**6 - 3*q**2 + 1/12*q**4 + 0*q**3 - c*q**5 + 0*q + 0. Let d(u) = 0. Calculate u.
0, 1
Let g(w) be the first derivative of -w**9/7560 - w**8/4200 + w**7/2100 + w**6/900 - 2*w**3/3 - 1. Let b(h) be the third derivative of g(h). Factor b(x).
-2*x**2*(x - 1)*(x + 1)**2/5
Determine x so that 60*x**3 + 7*x**5 - 14*x**5 + 12*x**5 - 73*x**2 + 23*x**2 + 15*x - 30*x**4 = 0.
0, 1, 3
Let n(i) be the first derivative of -4*i**3/3 - 5*i**2/2 - i + 8. Factor n(v).
-(v + 1)*(4*v + 1)
Let o(t) be the first derivative of -3*t**4/16 + t**3/4 + 3*t**2/4 - 5. Factor o(a).
-3*a*(a - 2)*(a + 1)/4
Let f(d) = 2*d**2 + d + 1. Let s be f(-1). Let y = 2 - s. Let 0*r + 0*r**3 - 2/3*r**5 + 2/3*r**4 + 0*r**2 + y = 0. Calculate r.
0, 1
Let k = -110 - -110. Factor 2/9*r**3 + k + 0*r - 4/9*r**4 + 0*r**2 + 2/9*r**5.
2*r**3*(r - 1)**2/9
Let n(l) be the third derivative of l**5/240 - 19*l**4/96 + 3*l**3/4 - 65*l**2. Factor n(u).
(u - 18)*(u - 1)/4
Solve 0 - 1/2*f + 1/2*f**3 + 1/2*f**4 - 1/2*f**2 = 0.
-1, 0, 1
Factor 0 - 1/4*b**3 + 1/4*b + 0*b**2.
-b*(b - 1)*(b + 1)/4
Suppose -41 = -3*x - 4*v, -2 - 22 = -2*x - 2*v. Suppose 0 = -5*a + 6 - 1, j - x = -4*a. Factor 3*g**3 + 0*g**2 - 2*g + 4*g**j - 4*g**2 - g**2.
g*(g - 1)*(7*g + 2)
Suppose 2*a - 6 = 3*g, a - 5*a = -2*g - 4. Suppose -1/3*l + 1/3*l**2 + a = 0. What is l?
0, 1
Let g(z) be the second derivative of 3*z**7/70 - z**6/10 + 3*z**5/100 + z**4/20 - 4*z. Factor g(m).
3*m**2*(m - 1)**2*(3*m + 1)/5
Let q = -24 - -122/5. Find i, given that -6/5*i + 2/5 - q*i**3 + 6/5*i**2 = 0.
1
Solve -2*f**2 - 2 - 1 + 3*f**2 + 2 = 0 for f.
-1, 1
Find v, given that -3*v + 3*v**3 + 0*v**4 + v**4 - v**5 - v**2 + v = 0.
-1, 0, 1, 2
Let z be ((-3)/9)/(1/3). Let m be 0 - ((-2)/2 + z). Determine n, given that m*n**2 + 4*n - 13 + 13 = 0.
-2, 0
Suppose 0 = -3*f - f - 24. Let w = 6 + f. Determine y so that -y + 1/2*y**2 + w = 0.
0, 2
Let u(v) be the first derivative of -2*v**5/45 - 2*v**4/9 - 4*v**3/9 - 4*v**2/9 - 2*v/9 + 10. Determine p, given that u(p) = 0.
-1
Let c(d) be the first derivative of -d**4/10 + 5. Factor c(p).
-2*p**3/5
Let n(u) = 4*u**3 + 6*u**2 - 4*u - 4. Let g(j) = -j**4 - 4*j**3 - 5*j**2 + 4*j + 3. Let p(a) = -2*g(a) - 3*n(a). Determine l, given that p(l) = 0.
-1, 1, 3
Let r be (-4 - 103/(-24)) + (2 - 2). Let l(f) be the second derivative of 0*f**2 - r*f**4 - 3*f + 0 + 1/6*f**3. Suppose l(n) = 0. What is n?
0, 2/7
Let q(d) be the first derivative of 2*d**6 - 16*d**5/5 - 8*d**4 + 24*d**3 - 22*d**2 + 8*d - 39. Factor q(g).
4*(g - 1)**3*(g + 2)*(3*g - 1)
Let w(x) = -5*x**2 + 11*x. Let i(j) = j - 4. Let l be i(-8). Let u = -1 - l. Let s(r) = -r**2 + 2*r. Let v(t) = u*s(t) - 2*w(t). Factor v(m).
-m**2
Let d(r) be the second derivative of -3*r**5/5 +