 5*f**4/24 + 10*f**2. Factor y(a).
-5*a*(a - 1)*(a + 1)**2
Let w(o) be the first derivative of -o**5/5 - o**4/2 - o**3/3 + 46. Find u, given that w(u) = 0.
-1, 0
Suppose 3 = 2*n - 1. Determine r so that 13*r**3 - 7*r**4 - 41*r**4 - 33 - 21*r**5 - 60*r + 102*r**n + 9 + 38*r**3 = 0.
-2, -2/7, 1
Let r be 4/(-16)*(3 - 4). Let d(g) be the first derivative of 0*g - r*g**2 - 1/8*g**4 - 1/3*g**3 + 2. Determine b, given that d(b) = 0.
-1, 0
Let z(w) be the second derivative of 0*w**2 - 1/9*w**3 + 1/12*w**4 + 0 - 4*w - 1/60*w**5. Factor z(b).
-b*(b - 2)*(b - 1)/3
Let q(u) be the first derivative of -4*u**3/3 + 6*u**2 - 8*u + 1. Let q(c) = 0. What is c?
1, 2
Let q(o) = o**2 + 1. Let b(z) = -z**2 + 4*z + 1. Let r(m) = -b(m) - 2*q(m). Let p(l) = 6*l**2 + 21*l + 15. Let w(f) = 4*p(f) + 21*r(f). Factor w(d).
3*(d - 1)*(d + 1)
Let k = 27 + -15. Suppose 2*q + 10 = -x, 2*q + k = -3*x + 2. Suppose x*b - 1/2*b**2 + 0 = 0. What is b?
0
Let b = -293 - -297. Factor 3/2*d**3 + 0*d - 3/2*d**b - 3/2*d**5 + 0 + 3/2*d**2.
-3*d**2*(d - 1)*(d + 1)**2/2
Let w(h) be the third derivative of -h**8/210 - h**7/84 - h**6/180 + h**3/2 + 2*h**2. Let n(s) be the first derivative of w(s). Find f, given that n(f) = 0.
-1, -1/4, 0
Let w(n) be the second derivative of 0*n**4 + 0 + 0*n**2 + 0*n**3 + 0*n**6 + n + 1/126*n**7 - 1/60*n**5. Factor w(x).
x**3*(x - 1)*(x + 1)/3
Let v(z) be the first derivative of 6*z**2 + 18*z + 2/3*z**3 + 8. Factor v(h).
2*(h + 3)**2
Let q(z) be the second derivative of -z**6/75 + z**5/50 + z**4/30 - z**3/15 - 5*z. Factor q(g).
-2*g*(g - 1)**2*(g + 1)/5
Let l be (-1)/(-3) + 7/15. Suppose 5*a + 3*a = 16. Determine f so that -18/5*f + l - a*f**3 + 24/5*f**2 = 0.
2/5, 1
Suppose -2/3*g**2 - 2/3 - 4/3*g = 0. What is g?
-1
Suppose 0 = -w + s - 2*s, -2*s = 3*w - 4. Suppose -w*a + a = 0. Factor 1/3*q**4 + a*q**2 + 0 + 0*q - 1/3*q**3.
q**3*(q - 1)/3
Let h(u) be the second derivative of 2/15*u**6 - 1/4*u**5 - 1/2*u**2 + 0 + 5*u - 1/4*u**4 + 5/6*u**3. Solve h(l) = 0.
-1, 1/4, 1
Let z(o) = o**2 + 4*o + 1. Let m be z(-2). Let r be (2 - 2) + (-18)/m. Solve 2*p + p**2 + 1 + 6*p**2 - r*p**2 = 0.
-1
Let g be ((-16)/(-24))/((-2)/3). Let m be 0 - -6*g/(-2). Factor 6*u**m + 4*u**4 - 4*u**3 - u + 4*u**5 - 4*u**2 - 5*u**3.
u*(u - 1)*(u + 1)*(2*u + 1)**2
Let h(o) be the second derivative of -5*o**7/42 - o**6/3 + o**5/4 + 5*o**4/6 + 27*o. Solve h(t) = 0 for t.
-2, -1, 0, 1
Let p(v) = v**2 - 33*v + 94. Let o be p(30). Let l(k) be the first derivative of 1/10*k**o + 0*k + 4/15*k**3 - 2 + 1/5*k**2. Factor l(u).
2*u*(u + 1)**2/5
Suppose q - 9*q - 5*q**2 - 31*q**2 = 0. What is q?
-2/9, 0
Let d = -54 + 54. Let x(q) be the first derivative of 2/5*q**5 + 0*q**2 - 2/3*q**3 + d*q + 0*q**4 + 1. Solve x(h) = 0 for h.
-1, 0, 1
Let z be (9/(-6))/(1/(-2)). Factor 9*d**2 + 3*d - d**3 + 4*d**3 + z*d.
3*d*(d + 1)*(d + 2)
Let 2/9*m**2 + 4/9*m + 2/9 = 0. What is m?
-1
Let o(j) = j + 10. Suppose 23 + 20 = -4*b - 3*a, -2*b - 2*a - 22 = 0. Let z be o(b). Factor 0*s**2 + 0*s**3 + 0 + z*s + 2/9*s**4 + 2/9*s**5.
2*s**4*(s + 1)/9
Let g = -47 + 45. Let p be (6/g)/(-3) - -2. Factor 0*u - 8/3*u**p + 2/3*u**2 + 0 + 2*u**4.
2*u**2*(u - 1)*(3*u - 1)/3
Let q be (-2)/11*(-25 + 14). Find j, given that 8/7 + 40/7*j + 18/7*j**q = 0.
-2, -2/9
Find s, given that 0 + 3/7*s**2 + 1/7*s**3 + 0*s = 0.
-3, 0
Let x(z) = z + 6. Let g be x(-6). Let y = 0 - g. Determine q, given that y + 2/9*q + 2/3*q**2 + 2/9*q**4 + 2/3*q**3 = 0.
-1, 0
Determine b so that -2 + 10*b**2 - 6*b**2 + 4*b**3 - 2*b**5 - 2*b - 2*b**4 + 0*b**3 = 0.
-1, 1
Let t(w) = -11*w**3 - 13*w**2 + 13*w + 13. Let a(p) = -5*p**3 - 6*p**2 + 6*p + 6. Let q(i) = 13*a(i) - 6*t(i). Factor q(o).
o**3
Factor 18*p**4 + 12*p**3 - 7*p**4 + 12 - 12*p - 14*p**4 - 9*p**2.
-3*(p - 2)**2*(p - 1)*(p + 1)
Let y(n) be the first derivative of -n**7/840 + n**6/180 - n**5/120 - n**3 - 7. Let t(w) be the third derivative of y(w). Factor t(p).
-p*(p - 1)**2
Let n(o) be the third derivative of -o**5/20 - o**4/2 + 5*o**3/2 + 33*o**2. Determine b, given that n(b) = 0.
-5, 1
Let l(k) = -k - 1. Let f be l(3). Let z(s) = -3*s - 8. Let a be z(f). Find u such that -1/2*u**2 + 0 - 4*u**3 - 8*u**a + 0*u = 0.
-1/4, 0
Let q(u) be the third derivative of u**6/1320 + u**5/330 - 13*u**4/264 + 5*u**3/33 - 6*u**2. Solve q(z) = 0 for z.
-5, 1, 2
Let v(a) = 15*a**2 + 18*a + 3. Let j(u) = u**3 + 14*u**2 + 17*u + 4. Let k(y) = 3*j(y) - 2*v(y). Factor k(t).
3*(t + 1)**2*(t + 2)
Let t be 2 + (3 - (3 - 1)). Let j be (-1 - (-30)/5)*2/8. Let -1/2*g**2 - 5/4*g + 1/2 + j*g**t = 0. What is g?
-1, 2/5, 1
Let h = -121 - -121. Find b, given that 0*b**2 + 1/2*b**3 - b**4 + 1/2*b**5 + h*b + 0 = 0.
0, 1
Let v(q) be the first derivative of -q**7/210 + q**6/150 + q**5/100 - q**4/60 + 5*q - 3. Let m(u) be the first derivative of v(u). Find r, given that m(r) = 0.
-1, 0, 1
Factor -13*j**2 + j**5 - 4*j**4 + 6*j**3 + 0*j + 9*j**2 + j.
j*(j - 1)**4
Suppose -3*n = -2*w - 37, -5*w - 3*n = -12 + 115. Let v be -1 + 1 + w/(-25). Factor 1/5*f**5 + 6/5*f**3 - 4/5*f**4 + 1/5*f - v*f**2 + 0.
f*(f - 1)**4/5
Let p(d) be the first derivative of -2*d**3/21 + d**2 + 16*d/7 + 1. Factor p(v).
-2*(v - 8)*(v + 1)/7
Let v = -3/11 - -39/22. Determine u, given that 3/2*u + v*u**2 - 3 = 0.
-2, 1
Let n(l) be the first derivative of -l**5/105 + 2*l**3/21 + 3*l**2/2 + 1. Let o(a) be the second derivative of n(a). Factor o(b).
-4*(b - 1)*(b + 1)/7
Let p(h) = 7*h**5 + 2*h**4 + h**3 - 6*h - 6. Let k(z) = 8*z**5 + 2*z**4 + z**3 - 7*z - 7. Let o(u) = -6*k(u) + 7*p(u). Factor o(m).
m**3*(m + 1)**2
Suppose 5*k - 18 = -3. Let r(c) be the first derivative of -1/6*c**k - 2 - 1/2*c + 1/2*c**2. Let r(p) = 0. Calculate p.
1
Let p(l) be the third derivative of l**6/40 + 3*l**5/20 + l**4/4 + 7*l**2. Solve p(j) = 0 for j.
-2, -1, 0
Let k = -1283749 - -6439772/5. Let x = 4225 - k. Factor 8/5*l + x*l**4 + 154/5*l**3 + 0 + 64/5*l**2.
2*l*(l + 1)*(7*l + 2)**2/5
Let o(p) be the second derivative of 8*p + 0*p**2 - 2/3*p**3 - 1/6*p**4 + 0. Factor o(t).
-2*t*(t + 2)
Let r = -131/18 - -79/9. Factor r*o**3 - 1/2*o**4 + 0 - 3/2*o**2 + 1/2*o.
-o*(o - 1)**3/2
Suppose -3*a = 3*c - 18 - 0, 0 = -5*c - 3*a + 22. Suppose c*n = 3*n. Factor -2/5*o - 4/5*o**3 + n - 6/5*o**2.
-2*o*(o + 1)*(2*o + 1)/5
What is a in -16*a - 23*a**3 - 28*a + 7*a**3 - 8 - 52*a**2 = 0?
-2, -1, -1/4
Suppose -3*c + 7 = -2. Let n be 2 + 3 + -1 + -1. Factor 17*a**2 + 17*a**2 + 4*a**c + 32*a + 6*a**n + 8.
2*(a + 1)*(a + 2)*(5*a + 2)
Let l(f) = 2*f**5 + 5*f**4 - 2*f**3 + 5*f**2 - 5. Let t(k) = -3*k**5 - 8*k**4 + 3*k**3 - 8*k**2 + 8. Let w(d) = -8*l(d) - 5*t(d). Suppose w(y) = 0. Calculate y.
-1, 0, 1
Let 8/13*s**3 + 0*s**4 + 4/13 - 4/13*s**2 - 2/13*s**5 - 6/13*s = 0. Calculate s.
-2, -1, 1
Let n = 0 + 6. Let c be (-1)/n - (-39)/18. Factor 0 - z**c + 4*z**3 - 7/3*z**4 - 2/3*z.
-z*(z - 1)**2*(7*z + 2)/3
Let t(g) be the first derivative of -g**6/39 - 4*g**5/13 - 20*g**4/13 - 160*g**3/39 - 80*g**2/13 - 64*g/13 + 5. Solve t(r) = 0 for r.
-2
Let k(f) be the second derivative of f**6/150 + f**5/50 - 11*f. Suppose k(o) = 0. What is o?
-2, 0
Let v be (13/21)/(1/5). Let f = v - 17/7. Determine i so that 2/3*i**2 + 4/3*i + 0 - f*i**3 = 0.
-1, 0, 2
Let 15 - 7 - 168*i + 28 + 165*i**2 + 30*i**3 + 45*i**3 = 0. Calculate i.
-3, 2/5
Let w(r) be the first derivative of r**4/8 + r**3/6 - r**2/4 - r/2 - 3. Find m such that w(m) = 0.
-1, 1
Determine h, given that 12*h**2 + 4 - 8*h**2 - 4*h**2 - 4*h**2 = 0.
-1, 1
Let z(k) = k**2 + 2. Let d be z(0). Suppose -9 = -i - d*i. Factor 3*v**3 + 1 - 2*v**3 + 2*v**2 - 5*v + 4*v**3 - i.
(v - 1)*(v + 1)*(5*v + 2)
Let t(r) be the first derivative of 3 + 0*r + 1/540*r**6 - 1/54*r**4 + 3/2*r**2 + 1/270*r**5 + 0*r**3. Let x(m) be the second derivative of t(m). Factor x(n).
2*n*(n - 1)*(n + 2)/9
Factor -2/19*m**2 - 24/19*m - 72/19.
-2*(m + 6)**2/19
Let a = -45 + 47. Let x(t) be the first derivative of -1/2*t**a - 2*t - 3 + 1/3*t**3. Factor x(j).
(j - 2)*(j + 1)
Determine j, given that 0 - 3/2*j + 3/2*j**2 = 0.
0, 1
Let x = -56 - -59. Let d(c) be the second derivative of 5/3*c**x - c + 3/10*c**5 - 7/6*c**4 + 0 - c**2. Suppose d(u) = 0. Calculate u.
1/3, 1
Let a = -6/5 - -2. Determine f, given that -a*f + 6/5*f**2 + 0 - 2/5*f**3 = 0.
0, 1, 2
Let v = 10 - 23. Let b(s) = 11*s**2 + 4*s + 6. Let t(y) = -23*y**2 - 