+ m**6/120 + m**5/80 - m**4/48 + 24*m. Factor c(a).
-a**2*(a - 1)**2*(a + 1)/4
Let m be (2 + -1)*-1 + 3. Let x(a) be the first derivative of 0*a - 1 + 2/9*a**3 - 1/3*a**m. Factor x(b).
2*b*(b - 1)/3
Let x be (2 + (-11)/6)*1642. Let s = x - 271. Factor s*r + 2/3*r**2 + 8/3.
2*(r + 2)**2/3
Let t(n) be the second derivative of -2*n**6/5 - 2*n**5/5 + n**4/3 + 16*n. Find k such that t(k) = 0.
-1, 0, 1/3
Suppose 0 = -4*v + 5*s - 17, 2*v = -s + 12 - 3. Let y be v/6*(-72)/(-28). Factor 2/7*x**2 - 2/7*x**5 - y*x**3 + 6/7*x**4 + 0 + 0*x.
-2*x**2*(x - 1)**3/7
Let s(j) be the second derivative of 0*j**2 + 1/45*j**6 + 0*j**3 + 0*j**4 + 0 + 0*j**5 - j. Solve s(l) = 0 for l.
0
Let q(h) be the first derivative of h**4/6 - 2*h**3/3 + h**2 + 6*h + 1. Let o(r) be the first derivative of q(r). Let o(i) = 0. Calculate i.
1
Let p(m) be the first derivative of 1/6*m**3 + 8 - m - 1/4*m**2. What is t in p(t) = 0?
-1, 2
Let x(q) be the second derivative of q**7/189 - 2*q**6/135 + q**4/27 - q**3/27 - 2*q. Let x(y) = 0. What is y?
-1, 0, 1
Let r(j) be the third derivative of -j**6/24 - j**5/12 + 5*j**4/12 - 5*j**2. Factor r(o).
-5*o*(o - 1)*(o + 2)
Let q = 212 - 1468/7. Determine i, given that 8/7 + q*i + 2/7*i**2 - 6/7*i**3 = 0.
-1, -2/3, 2
Let y(b) = -3*b**4 - 7*b**3 - 11*b**2 - b - 2. Let n(x) = -12*x**4 - 27*x**3 - 45*x**2 - 3*x - 9. Let i(h) = 2*n(h) - 9*y(h). Factor i(l).
3*l*(l + 1)**3
Determine v, given that -2/11*v - 4/11 + 2/11*v**2 = 0.
-1, 2
Let j = -383/7 + 55. Factor 0 - 2/7*o - 4/7*o**2 - j*o**3.
-2*o*(o + 1)**2/7
Let w = -1/22735768 + -1695235535/3785505372. Let r = -1/296 - w. Factor -2/9*i + 4/9*i**2 - 2/9*i**5 + r*i**3 - 2/9 - 2/9*i**4.
-2*(i - 1)**2*(i + 1)**3/9
Let v = -3 - -6. Determine f, given that 2/9*f**v - 2/9*f - 2/3*f**2 + 4/9 + 2/9*f**4 = 0.
-2, -1, 1
Let j(i) = 3*i + 4 + 1 + 8*i**2 - 7*i**2. Let f(a) = a + 1. Let m be (4 - 0 - -1)/(-1). Let c(s) = m*f(s) + j(s). Factor c(h).
h*(h - 2)
Let g(n) be the third derivative of n**6/8 + n**5/6 - 5*n**4/24 - 26*n**2. Factor g(s).
5*s*(s + 1)*(3*s - 1)
Factor 2/3 - 8/3*b**2 - 2*b.
-2*(b + 1)*(4*b - 1)/3
Let x(c) be the first derivative of 0*c**3 + 0*c**2 - 1 + 0*c + 1/14*c**4 - 2/35*c**5. What is o in x(o) = 0?
0, 1
Suppose 3*j - 4 = 2*u, -u - 4 = -3*j - 2. Factor j + 1/3*a**2 - 1/3*a**4 + 0*a + 1/3*a**5 - 1/3*a**3.
a**2*(a - 1)**2*(a + 1)/3
Let o(z) be the first derivative of z**3/6 - 3*z**2/4 + z + 2. Factor o(m).
(m - 2)*(m - 1)/2
Let m(a) = a + 6. Let l be m(0). Suppose 3*r - l = -3*d, -5*r = 4*d - 3 - 4. Determine n, given that -2/7 - 2/7*n**d + 2/7*n**2 + 2/7*n = 0.
-1, 1
Let f(o) be the third derivative of o**6/360 + o**5/40 - o**3/3 - 5*o**2. Let k(d) be the first derivative of f(d). Solve k(n) = 0.
-3, 0
Find k, given that 3*k + 25*k**2 - 14*k**2 - 15*k**2 + k = 0.
0, 1
Let z = 4999/220 - 245/11. Let d(b) be the second derivative of -5/12*b**4 + b + 3/2*b**3 + 0 - b**2 - z*b**5 + 7/30*b**6. Determine r, given that d(r) = 0.
-1, 2/7, 1
Let a(t) = -7*t**3 - 4*t**2 - 3*t + 3. Let c(u) = -26*u**2 + 8*u**3 + 3*u - 4 + 30*u**2 + u. Let j(x) = 4*a(x) + 3*c(x). Factor j(i).
-4*i**2*(i + 1)
Suppose 0 = 5*h + 3 + 7. Let b be h*(-10)/(-4)*-1. Solve -8*l + b + 6 - 3 + 2*l**2 = 0.
2
Let s(m) be the first derivative of -3*m**4/4 + 3*m**3 + 3*m**2/2 - 9*m - 6. Factor s(x).
-3*(x - 3)*(x - 1)*(x + 1)
Factor 0 - 2/5*l**2 + 0*l + 2/5*l**3.
2*l**2*(l - 1)/5
Let z(l) be the second derivative of 3*l**5/70 + 4*l**4/21 + l**3/3 + 2*l**2/7 + 9*l. Factor z(u).
2*(u + 1)**2*(3*u + 2)/7
Let f = -10 + 4. Let j be (-40)/24*f/5. Factor -1/4*s + 0 + 1/4*s**j + 1/4*s**3 - 1/4*s**4.
-s*(s - 1)**2*(s + 1)/4
Let f(o) be the second derivative of -1/20*o**4 + 5*o - 3/10*o**2 + 1/5*o**3 + 0. Find w such that f(w) = 0.
1
Let a(u) be the second derivative of u**5/60 + u**4/36 - u**3/18 - u**2/6 - 4*u. Find o, given that a(o) = 0.
-1, 1
Let 7*k**4 - 35*k**3 - 2*k**4 + 13*k**2 + 20*k**4 + 2*k**2 - 5*k**5 = 0. Calculate k.
0, 1, 3
Factor 16/5 + 2/5*o**3 - 8/5*o - 4/5*o**2.
2*(o - 2)**2*(o + 2)/5
Let t(a) be the second derivative of -27*a**6/10 + 9*a**5/5 + 77*a**4/12 - 6*a**3 + 2*a**2 + 5*a. What is g in t(g) = 0?
-1, 2/9, 1
Let x(v) = -v**2 - 11*v - 9. Let y be x(-10). Suppose -3*g + 7 = y. Factor -g*r**3 - 7/2*r**2 - r + 1/2.
-(r + 1)**2*(4*r - 1)/2
Let a(m) be the second derivative of m**5/30 - 5*m**4/18 + m**3/3 + 3*m**2 - 11*m. What is d in a(d) = 0?
-1, 3
Let v(w) be the third derivative of w**10/105840 - w**9/17640 + w**8/7840 - w**7/8820 + w**4/8 - 3*w**2. Let a(y) be the second derivative of v(y). Factor a(i).
2*i**2*(i - 1)**3/7
Let p be (-1)/(-1)*1/4. Let o(l) be the first derivative of 1/2*l**2 - p*l**4 + 2 - l + 1/3*l**3. Determine m so that o(m) = 0.
-1, 1
Determine j, given that -4/11*j + 0 + 2/11*j**3 + 2/11*j**2 = 0.
-2, 0, 1
Let p(f) be the first derivative of -f**4/6 + 10*f**3/9 - 8*f**2/3 + 8*f/3 - 5. Factor p(n).
-2*(n - 2)**2*(n - 1)/3
Factor o**3 + 10/3*o**2 - 8/3 + 4/3*o.
(o + 2)**2*(3*o - 2)/3
Let m(r) be the second derivative of 5*r**7/42 - r**6/2 + r**5/2 + 11*r. Factor m(c).
5*c**3*(c - 2)*(c - 1)
Let f = 25/12 - 11/6. Determine t, given that -f*t**2 - 1/2*t - 1/4 = 0.
-1
Let q(m) be the third derivative of m**5/15 - m**4/2 + 4*m**3/3 - 36*m**2. Find u, given that q(u) = 0.
1, 2
Solve 3*a + 3/4*a**4 + 3/4 + 3*a**3 + 9/2*a**2 = 0.
-1
Let v be (-36)/(-12)*1/63. Let n(u) be the third derivative of 0 + 1/42*u**4 - v*u**3 + 2*u**2 + 0*u - 1/210*u**5. Determine j so that n(j) = 0.
1
Let q be -5*(-5)/((-50)/(-4)). Determine s, given that 2/3*s**4 + 0*s**q - 1/3*s**3 + 0*s + 0 - 1/3*s**5 = 0.
0, 1
Let z(d) be the first derivative of d**4/60 - 4*d + 2. Let c(s) be the first derivative of z(s). Suppose c(u) = 0. What is u?
0
Let y = -1468/7 + 210. Solve 4/7*g - y*g**5 + 6/7*g**4 - 2/7*g**3 - 6/7*g**2 + 0 = 0.
-1, 0, 1, 2
Let t be 90/8 - 2/(-8). Let x = -11 + t. Let 0*s**4 + 0*s**2 - 1/4*s + 0 - 1/4*s**5 + x*s**3 = 0. What is s?
-1, 0, 1
Suppose 9/2*d**3 + 3/2*d**5 - 3/2*d**2 - 9/2*d**4 + 0*d + 0 = 0. What is d?
0, 1
Suppose 0 = -f + 5, 2*j = 4*j + f - 41. Let z = -87/5 + j. Factor 4/5*s - z*s**3 - 4/5 + s**2.
-(s - 2)*(s + 1)*(3*s - 2)/5
Determine q so that -17*q**4 - 26*q + 14*q + 2*q**3 + 57*q**2 + 10*q**3 - 28*q**4 - 12 = 0.
-1, -2/5, 2/3, 1
Let n = 4 + -1. Factor 3*l + 10*l**n - 9*l - 4*l**2 - 4*l + 4.
2*(l - 1)*(l + 1)*(5*l - 2)
Factor -1/2*w - 3/4*w**2 + 3/4*w**4 + 1/4*w**5 + 1/4*w**3 + 0.
w*(w - 1)*(w + 1)**2*(w + 2)/4
Find y, given that -587*y - 1 + 586*y + y**2 + 1 = 0.
0, 1
Let v(x) be the first derivative of 4/3*x**3 + 2/5*x**5 + 0*x - 3 + 3/2*x**4 + 0*x**2. Determine u so that v(u) = 0.
-2, -1, 0
Factor -1/3*k - 1/3*k**4 - k**2 + 0 - k**3.
-k*(k + 1)**3/3
Let z(d) = -d**3 - d + 1. Let r(n) = -2*n**3 + 3*n**2 - n + 3. Let a(p) = -4*r(p) + 12*z(p). Determine c, given that a(c) = 0.
-2, -1, 0
Let d(f) = 4*f**5 + 3*f**4 - f**3 - 3*f**2 - 3*f + 3. Let k(p) = -8*p**5 - 5*p**4 + 3*p**3 + 5*p**2 + 5*p - 5. Let m(b) = -5*d(b) - 3*k(b). Factor m(h).
4*h**3*(h - 1)*(h + 1)
Suppose -10*j + 15*j - 10 = 0. Let u(x) be the third derivative of 0*x**4 - x**j + 1/210*x**5 + 0 + 0*x**3 - 1/420*x**6 + 0*x. Solve u(o) = 0.
0, 1
Let m(v) be the first derivative of v**4/2 - 2*v**3 + 3*v**2 - 2*v + 10. Suppose m(r) = 0. Calculate r.
1
Let b = 0 + 0. Suppose b = -f + 2*f - 2. Factor -1/4 + 0*k + 1/4*k**f.
(k - 1)*(k + 1)/4
Let -29*f**3 - 6*f**3 + 18 + 18*f**2 + 7*f**2 + 80*f + 2 = 0. Calculate f.
-1, -2/7, 2
Suppose 12 = 2*q - 4*r, -17 = -2*q + 3*r + 2*r. Let j = q - -7. Let 3*i - 2*i**3 + 5*i**5 - 6*i**5 + 7*i**2 - j*i**4 - 2 - 5*i**2 + 3 = 0. Calculate i.
-1, 1
Let q be 1/1 + ((-16)/10)/4. Factor 2/5*i**3 + q*i**2 - 3/5*i - 2/5.
(i - 1)*(i + 2)*(2*i + 1)/5
Determine s, given that -4/3 + 2/3*s**5 + 4/3*s**2 + 2*s + 0*s**4 - 8/3*s**3 = 0.
-2, -1, 1
Let r(u) = 2*u + 24. Let p be r(-13). Let i be p/(-8) - (-5)/20. Solve -5/2*y**2 - 2 - 4*y - i*y**3 = 0.
-2, -1
Factor 0*t**3 + 2/5*t**4 + 0 - 2/5*t**2 + 0*t.
2*t**2*(t - 1)*(t + 1)/5
Let f(s) be the second derivative of s**6/165 - s**5/55 + s**4/66 + 6*s. Factor f(x).
2*x**2*(x - 1)**2/11
Let q(b) be the third derivative of -b**6/600 + b**5/300 + b**4/24 + b**3/10 + 12*b**2. Factor q(u).
-(u - 3)*(u + 1)**2/5
Solve -43/3*a**2 - 73/3*a**3 - 11/3*a - 1/3 - 56/3*a**4 - 16/3*a**5 = 