*(7*b - 2)
Let d be (-4 + 2)*(-5 + 4). Factor 3*x**3 - 3*x**5 - 3*x**2 + 3*x**4 - x + x + 0*x**d.
-3*x**2*(x - 1)**2*(x + 1)
Let g(k) be the third derivative of k**5/120 + k**4/6 + 4*k**3/3 - 6*k**2. Solve g(p) = 0.
-4
Let g(z) be the third derivative of z**6/40 - 7*z**5/60 + 5*z**4/24 - z**3/6 + 4*z**2. Suppose g(m) = 0. What is m?
1/3, 1
Suppose -2*m = m + 4*n + 26, 2 = -n. Let d(h) = 5*h**3 - 7*h**2 - 6*h + 6. Let c(x) = 11*x**3 - 15*x**2 - 13*x + 13. Let r(y) = m*c(y) + 13*d(y). Factor r(o).
-o**2*(o + 1)
Let d(r) = r**3 + 2*r**2 + 4*r. Let h(c) = c**2 + c. Let o(f) = d(f) - 4*h(f). Factor o(u).
u**2*(u - 2)
Let x be -2*(32/36)/(-4). Let q be (6/4)/((-18)/(-8)). Find w such that q*w + 2/9*w**2 + x = 0.
-2, -1
Let p = -400 - -803/2. Suppose 3 - p*t**2 + 3/2*t = 0. Calculate t.
-1, 2
Let f = -17 + 22. Suppose 2*p - k = k + 2, 0 = f*p - 3*k - 7. Determine n, given that 12/5*n**p - 2/5*n**3 - 24/5*n + 16/5 = 0.
2
Let t(a) be the second derivative of 9/5*a**5 + 0 + 243/2*a**2 + 27/2*a**4 - 5*a + 54*a**3 + 1/10*a**6. Factor t(h).
3*(h + 3)**4
Let c be 27/((-2430)/(-396)) + (-2)/5. Factor 0 + 10/11*h**3 + 8/11*h - 16/11*h**2 - 2/11*h**c.
-2*h*(h - 2)**2*(h - 1)/11
Let w(g) be the third derivative of g**6/40 + g**5/15 + g**4/24 - 15*g**2. Factor w(l).
l*(l + 1)*(3*l + 1)
Let t be (((-8)/(-90))/2)/(1/6). Determine p, given that 0 + 2/5*p**4 + 2/15*p**5 - t*p + 2/15*p**3 - 2/5*p**2 = 0.
-2, -1, 0, 1
Let l = -416/3 + 4588/33. Factor 2/11*o**5 - 2/11 + 2/11*o + 4/11*o**2 - 2/11*o**4 - l*o**3.
2*(o - 1)**3*(o + 1)**2/11
Suppose 2 - 3 - 4 + 4 + n**2 = 0. What is n?
-1, 1
Factor 2/3*r**3 + 0 - 1/3*r**4 - 2/3*r + 1/3*r**2.
-r*(r - 2)*(r - 1)*(r + 1)/3
Factor 24*x - 21 + x**2 - 14 - 13 - 4*x**2.
-3*(x - 4)**2
Let f(l) be the third derivative of l**8/1680 - l**6/180 + l**4/24 + l**3/2 - l**2. Let i(r) be the first derivative of f(r). Factor i(a).
(a - 1)**2*(a + 1)**2
Let h(j) be the second derivative of j**6/120 + j**5/20 + j**4/8 - 2*j**3/3 + 7*j. Let n(c) be the second derivative of h(c). Factor n(z).
3*(z + 1)**2
Let m(i) be the first derivative of i**3 - 3*i**2 - 9*i - 8. Factor m(d).
3*(d - 3)*(d + 1)
Let y(a) be the first derivative of a**3 + 2*a**2 + 3*a + 1. Let k be y(-2). Suppose 2*l + 0 - 4*l**5 + 2*l**3 - 1 + l**2 - k*l**4 + 7*l**2 = 0. What is l?
-1, 1/4, 1
Let l(p) = -2*p**2 + 20*p - 44. Let n be l(4). Factor 2/7*s**n + 0 - 2/7*s**3 - 2/7*s**2 + 0*s + 2/7*s**5.
2*s**2*(s - 1)*(s + 1)**2/7
Let a = 0 + 0. Let b be (-1)/(-6) - 4/(-48). Solve b*u**5 - 1/2*u**3 + 0 + a*u**4 + 1/4*u + 0*u**2 = 0 for u.
-1, 0, 1
Factor 0*r**2 - 8*r**2 + 5*r**2 - 3*r.
-3*r*(r + 1)
Let g be (-8)/(-16)*(6 - 0). Factor 0*j**2 + 3/4*j**5 + 2*j**4 + 3/2*j**g + 0 - 1/4*j.
j*(j + 1)**3*(3*j - 1)/4
Let j = -80 + 155/2. Let w = j + 3. Solve w*i - 1/2*i**2 + 1 = 0.
-1, 2
Let g = 79 + -153/2. Let q = -13 + 53/4. Factor g*y**2 - q*y**5 + 1/4 + 5/4*y**4 - 5/4*y - 5/2*y**3.
-(y - 1)**5/4
Let l = -16 - -21. Let r(c) be the second derivative of 0*c**2 + 0*c**3 - 2*c + 0 + 1/15*c**4 - 1/50*c**l. Factor r(o).
-2*o**2*(o - 2)/5
Suppose 5*d + k - 17 = 2*k, 2 = -k. Find w, given that 0*w**2 - 4*w**2 - d*w**3 - 2*w + w**2 + 2*w**3 = 0.
-2, -1, 0
Let o(u) = u**2 - 3*u - 1. Let h be o(4). What is r in -2*r**h + 5*r + r - 4*r = 0?
-1, 0, 1
Let p(y) = 6 - y**3 - 3*y**4 - 3*y + 4*y**3 - 3*y. Let h(i) = i**5 - 2*i**4 + 2*i**3 - 5*i + 5. Let w(k) = -6*h(k) + 5*p(k). Let w(b) = 0. Calculate b.
-1, 0, 1/2
Let q(p) be the third derivative of -121*p**8/224 + 473*p**7/420 - 17*p**6/120 - 17*p**5/30 - p**4/6 - 3*p**2. Find g, given that q(g) = 0.
-2/11, 0, 2/3, 1
Let f(u) be the second derivative of -u**5/20 - 3*u**4/16 - u**3/12 - 36*u. Factor f(b).
-b*(b + 2)*(4*b + 1)/4
Let a(f) = -f**3 + 11*f**2 + 11*f + 14. Let y be a(12). Find x such that 18 + 16*x**y - 15*x + 3*x - 14*x**2 = 0.
3
Let a(r) = -10*r - 9. Let d(j) = 5*j + 4. Let q(f) = -4*a(f) - 9*d(f). Let h be q(-1). Solve 2*p**3 + 3*p**5 - p**h - p - 3*p**5 = 0 for p.
-1, 0, 1
Let n(w) be the first derivative of -5/8*w**4 + 2 - 3/20*w**5 - w**3 - 3/4*w**2 + 4*w. Let t(o) be the first derivative of n(o). Factor t(s).
-3*(s + 1)**2*(2*s + 1)/2
Let g(d) be the second derivative of -1/12*d**4 + 0 - 2/3*d**3 - 2*d**2 - 3*d. What is v in g(v) = 0?
-2
Let z be (-1 - 2 - -2)/(4/(-20)). Let f(g) be the second derivative of 0*g**2 + 0 - 1/16*g**4 + 1/40*g**z - 3*g - 1/12*g**3 + 1/40*g**6. Factor f(h).
h*(h - 1)*(h + 1)*(3*h + 2)/4
Let o = 352 + -5982/17. Let h = o + 13/34. Factor 0 - 1/2*d**2 + h*d.
-d*(d - 1)/2
Let f = -1/10 + 7/20. Let j be (-5)/(-4) - (6 - 5). Suppose 0*r**2 + j*r**3 + 0 + 0*r - f*r**4 = 0. What is r?
0, 1
Let x(f) be the first derivative of f**6/21 - 2*f**5/35 - f**4/7 + 23. Factor x(c).
2*c**3*(c - 2)*(c + 1)/7
Let k = 14 - 7. Factor 8*v**2 + 3*v**3 - k*v**3 + 4*v**4 - 8*v**3.
4*v**2*(v - 2)*(v - 1)
Let t(h) = -h - 2. Let w be t(4). Let v be 1*(-2)/6*w. Find x, given that 0*x - 2*x**2 + 5*x**2 - x - v*x**2 = 0.
0, 1
Let 1749*a - a**2 + 3*a**2 - a**3 - 1747*a - a**2 = 0. Calculate a.
-1, 0, 2
Let d(b) = 5*b**3 - 25*b**2 - 10*b + 25. Let n(i) = -3*i**3 + 13*i**2 + 5*i - 13. Let o(g) = 2*d(g) + 5*n(g). Suppose o(y) = 0. What is y?
-1, 1, 3
Let k(w) be the third derivative of w**6/48 + w**5/4 - 16*w**2. Factor k(h).
5*h**2*(h + 6)/2
Let f = 1/51 - -145/408. Let v(k) be the first derivative of 0*k + 1/10*k**5 - 1/4*k**2 + 1/2*k**3 - f*k**4 - 1. Factor v(m).
m*(m - 1)**3/2
Let d(l) = 2*l**4 - 20*l**3 - 32*l**2 - 22*l + 6. Let t(q) = 25 - q**4 + q - 26 + 0*q**4. Let c(p) = -d(p) - 6*t(p). Solve c(h) = 0 for h.
-2, -1, 0
Let a(g) be the third derivative of -1/231*g**7 + 0*g**3 + 0*g + 0*g**4 - 1/1848*g**8 - 2/165*g**6 + 7*g**2 + 0 - 2/165*g**5. Factor a(i).
-2*i**2*(i + 1)*(i + 2)**2/11
Let c(i) be the first derivative of 2*i**3/3 - 3*i**2 - 10. Factor c(n).
2*n*(n - 3)
Let x = -2 + 8. Suppose 0 = -b - 1 + x. Find m, given that 2*m**5 - m**4 - 2*m - m**b + 2*m**2 - 1 - 2*m**3 + 3*m = 0.
-1, 1
Suppose -k = -4*i - 28, -3*k - 5*i + 4 = -i. Let a = k + -8. Solve a*s - 2/5*s**4 + 0 - 4/5*s**3 - 2/5*s**2 = 0 for s.
-1, 0
Suppose 0*s = -p - 4*s + 9, -3*s = -6. Let i(h) be the first derivative of -p + 0*h - 1/6*h**2 + 1/9*h**3. Solve i(g) = 0.
0, 1
Let a = 1498/3 + -737/3. Let y = -249 + a. Factor -y*v**2 + 2/3 + 4*v**4 + 7/3*v**5 - v - 4/3*v**3.
(v - 1)*(v + 1)**3*(7*v - 2)/3
Let q = 113 - 338/3. Factor -1/3*t + 0 + 0*t**2 + q*t**3.
t*(t - 1)*(t + 1)/3
Let f be 3/(0 - (3 + -4)). Let o(j) be the first derivative of -2/9*j**f + 2/3*j - 1/6*j**4 + 1 + 1/3*j**2. Determine m, given that o(m) = 0.
-1, 1
Let w(h) be the second derivative of h**6/35 + h**5/35 - h**4/14 - 2*h**3/21 - 54*h. Let w(k) = 0. What is k?
-1, -2/3, 0, 1
Factor -2*t**3 - 3*t**2 - 2*t - 1/2*t**4 - 1/2.
-(t + 1)**4/2
Let c = -31 + 36. Let 4/3*m**3 + 0*m**4 + 0 - 2/3*m**c - 2/3*m + 0*m**2 = 0. Calculate m.
-1, 0, 1
Let r be ((-28)/(-21))/((-40)/(-15)). Find c such that -1/8*c**4 + 1/8*c**2 - r*c**3 + 0*c + 1/2*c**5 + 0 = 0.
-1, 0, 1/4, 1
Let u(t) be the third derivative of t**7/924 + t**6/660 - t**5/330 + t**3/3 - 2*t**2. Let d(s) be the first derivative of u(s). Let d(r) = 0. Calculate r.
-1, 0, 2/5
Let t be (100/15 - 4)*(-3)/(-2). Let l(d) be the second derivative of -1/45*d**6 + 0 - 3*d + 1/18*d**3 + 0*d**5 + 1/18*d**t + 0*d**2 - 1/126*d**7. Factor l(y).
-y*(y - 1)*(y + 1)**3/3
Let l(b) be the second derivative of -b**4/8 + 3*b**3/2 - 27*b**2/4 + 23*b. Factor l(s).
-3*(s - 3)**2/2
Factor 2*l**3 + 3*l**4 - 2 - 58*l + 66*l - 12*l**2 - 5*l**4 + 6*l**3.
-2*(l - 1)**4
Let s(z) be the first derivative of -10*z**6 - 148*z**5/5 - 22*z**4 + 8*z**3 + 10*z**2 - 4*z + 6. Determine j, given that s(j) = 0.
-1, 1/5, 1/3
Determine l so that -21*l - 19*l + 3*l**3 + 22*l - 24 + 9*l**2 = 0.
-4, -1, 2
Let u(i) be the second derivative of -i**5/40 - 5*i**4/48 - i**3/6 + i**2 - 8*i. Let h(a) be the first derivative of u(a). Factor h(r).
-(r + 1)*(3*r + 2)/2
Let o(f) = -f**2 - 7*f + 4. Let r be o(-7). Suppose -r*q = -3*p + 14, 8 = -p + 4*p - q. Find v such that 3 + 3*v**4 + v**4 + 2*v**3 - 6*v**2 - 1 - p*v = 0.
-1, 1/2, 1
Factor 2*d**3 + 3*d - 1 - 13*d**2 + 13 + 5*d**2 - d.
2*(d - 3)*(d - 2)*(d + 1)
Let i(s) be the first derivative of -s**5/5 + 2*s**3/3 - s + 9. Factor i(r).
-(r - 1)**2*(r + 1)**2
Su