24 + 3*a**2 - 9. Let w(b) be the second derivative of p(b). Factor w(f).
-f*(f - 1)**3*(3*f + 2)/2
Let f(m) = -m**3 - 5*m**2 + 5*m - 4. Let w be f(-6). Suppose 2/9 + 2/9*h**3 - 2/9*h**w - 2/9*h = 0. Calculate h.
-1, 1
Let l be (-21)/18*(-54)/168. Let v(p) be the first derivative of l*p**2 - 1/12*p**3 - 1/2*p + 1. Factor v(x).
-(x - 2)*(x - 1)/4
Let t = -2 + 9. Let a = 11 - t. Factor -u**a + 1/2*u**3 - 1/2*u + u**2 + 0.
-u*(u - 1)*(u + 1)*(2*u - 1)/2
Factor 0*h**2 - 2/3*h**3 + 0*h**4 + 1/3*h**5 + 0 + 1/3*h.
h*(h - 1)**2*(h + 1)**2/3
Let x be -2*((-4)/(-8))/1. Let f(m) = -m**2 - m + 1. Let v(j) = -3*j - 2 + 0 - 3*j**2 + 4. Let h(g) = x*v(g) + 4*f(g). Factor h(o).
-(o - 1)*(o + 2)
Factor 1/4*q**4 + 0*q + 5/2*q**2 + 7/4*q**3 + 0.
q**2*(q + 2)*(q + 5)/4
Suppose 0 = 3*r + 2*r - 10. Let i(w) = -4*w**2 + 1. Let a(s) = 3*s**2 + s. Let f(d) = r*i(d) + 3*a(d). Find h such that f(h) = 0.
-2, -1
Let n be 340/(-50) + 2/(-10). Let y = -25/4 - n. Factor 1/2*k**2 - 5/4*k**4 - y*k**3 + 0 + 0*k.
-k**2*(k + 1)*(5*k - 2)/4
Let n(a) be the first derivative of 2*a**6 - 21*a**5/5 - 3*a**4/2 + 8*a**3 - 3*a**2 - 3*a - 5. Let n(k) = 0. What is k?
-1, -1/4, 1
Let u(l) be the third derivative of -l**7/315 - l**6/120 + l**5/18 + l**4/6 - 4*l**3/9 + 51*l**2. Let u(s) = 0. Calculate s.
-2, 1/2, 2
Let g(o) be the third derivative of -o**7/420 + o**5/120 - 11*o**2. Factor g(d).
-d**2*(d - 1)*(d + 1)/2
Let u(z) be the first derivative of -z**4/18 + 4*z**3/9 - 4*z**2/3 + 16*z/9 - 14. Factor u(s).
-2*(s - 2)**3/9
Let z(f) = 8*f**5 + 6*f**4 - 2*f**3 - 6. Let p(c) = 23*c**5 + 17*c**4 - 6*c**3 - 17. Let d(s) = -6*p(s) + 17*z(s). Find x such that d(x) = 0.
-1, 0, 1
Suppose 0 = 4*a - 16, 2*w - 14 - 16 = a. Let y = w + -8. Factor -y + 24*i - 12*i**2 + 2*i**3 - 7 + 0*i**3.
2*(i - 2)**3
Let o be -1 + 6*3/6. Suppose 2*m - t + 21 = -6*t, -4*m + o*t = -18. Factor -2*f + 5*f**3 + 1 - m*f**3 - f**4 - f**3.
-(f - 1)**3*(f + 1)
Let r = 4 - 16. Let w be (-23)/(-12) + 3/r. Factor -z - 2/3 + w*z**2.
(z - 1)*(5*z + 2)/3
Let o(y) be the first derivative of 5 + 12/13*y**4 - 2/39*y**3 - 2/13*y - 6/13*y**2 - 32/65*y**5. Factor o(j).
-2*(j - 1)**2*(4*j + 1)**2/13
Let t(w) = w**3 + 4*w**2 + w - 3. Let j be t(-3). Find b such that j - 3 - 3*b**2 + 2*b + b**2 = 0.
0, 1
Let u(r) be the first derivative of r**5/180 - r**3/18 + 3*r**2/2 - 2. Let x(f) be the second derivative of u(f). Suppose x(j) = 0. Calculate j.
-1, 1
Let h(i) be the third derivative of 0*i**5 + 2*i**2 + 0*i**3 - 1/336*i**8 + 1/60*i**6 - 1/210*i**7 + 0*i + 0*i**4 + 0. Factor h(u).
-u**3*(u - 1)*(u + 2)
Let b(i) = 11*i**3 - 13*i**2 - 11*i + 13. Let q(s) = 5*s**3 - 6*s**2 - 5*s + 6. Let l(h) = -6*b(h) + 13*q(h). Factor l(v).
-v*(v - 1)*(v + 1)
Let 16*v**2 + 2 + 4*v**3 + 13*v + 2*v + 5*v + 6 = 0. What is v?
-2, -1
Let t(f) = 0 + 3*f**2 - 2*f**2 + 2. Let v be t(0). Factor v*i - 4*i**2 + i**2 - 2*i**3 - 3*i.
-i*(i + 1)*(2*i + 1)
Let w be 2/4*1*(-18)/(-3). Let m(q) be the first derivative of 9/5*q**5 + 0*q + 0*q**2 - w - q**6 - q**3 + 0*q**4. Determine u, given that m(u) = 0.
-1/2, 0, 1
Factor -5*k + 12 + 21*k - 2*k**2 + 6*k**2.
4*(k + 1)*(k + 3)
Let a(t) be the second derivative of -t**4/36 + t**3/6 + 13*t. Let a(g) = 0. Calculate g.
0, 3
Let l(o) be the first derivative of -o**5/60 + o**4/84 - 2*o**2 - 2. Let c(f) be the second derivative of l(f). Determine p so that c(p) = 0.
0, 2/7
Let m = -10461/4 - -2676. Solve -m*x**2 - 27*x - 3 = 0.
-2/9
Let w(y) = y**2 - y. Suppose 4 = -2*i + 4*m - 4, i = 3*m - 7. Let d(n) = -n + 1. Let h(s) = i*d(s) - 2*w(s). Find f, given that h(f) = 0.
-1, 1
Let x(v) = -6*v**3 + 7*v**2 + 18*v + 12. Let q(p) = -2*p**3 + 2*p**2 + 6*p + 4. Let d(c) = -14*q(c) + 4*x(c). Factor d(g).
4*(g - 2)*(g + 1)**2
Factor 0*g - 2*g**4 + 0*g**2 - 2*g**3 + 2*g + 2*g**2.
-2*g*(g - 1)*(g + 1)**2
Let h(r) be the third derivative of -1/4*r**4 + 1/30*r**5 + 0 + 2/3*r**3 - 4*r**2 + 0*r. Find s such that h(s) = 0.
1, 2
Let i(q) = 6*q**4 - 46*q**3 - 16*q**2 + 56*q + 16. Let l(j) = -3*j**2 - j**4 + 2*j**4 + 3 + 0*j**3 - 9*j**3 + 11*j. Let g(c) = 3*i(c) - 16*l(c). Solve g(z) = 0.
-2, 0, 1
Let j(y) = -9*y - 2. Let d be j(-2). Solve 4 - g**2 - 15*g - 2 + d*g = 0 for g.
-1, 2
Suppose 2*q + 30 = 5*q. Let j be ((-60)/(-75))/(6/q). Solve -j*z**4 + 0*z + 2/3*z**2 - 2/3*z**3 + 0 = 0 for z.
-1, 0, 1/2
Let b(r) = -r**3 - r**2 - r - 1. Let t(k) = -3*k**3 - 17*k**2 - 35*k - 21. Let u(o) = 5*b(o) - t(o). Factor u(a).
-2*(a - 8)*(a + 1)**2
Let r(k) be the first derivative of k**5/10 - 9*k**4/8 + 29*k**3/6 - 39*k**2/4 + 9*k + 49. Factor r(a).
(a - 3)**2*(a - 2)*(a - 1)/2
Let x(m) = -8*m - 7 + 11*m + 0. Let b be x(4). Factor -24/5*f**4 + 0 - 8/5*f**b + 24/5*f**2 - 8/5*f - 2/5*f**3.
-2*f*(f + 2)**2*(2*f - 1)**2/5
Let k = 13 + 5. Suppose -3*p = -2*b - 16, 4*p - 4*b + 2*b = k. Factor 5/4*o**p + 1/2*o + 3/4*o**3 + 0.
o*(o + 1)*(3*o + 2)/4
Let c(p) be the second derivative of p**8/3360 - p**7/420 + p**6/120 - p**5/60 + p**4/6 - 2*p. Let r(m) be the third derivative of c(m). Factor r(v).
2*(v - 1)**3
Let f(p) = p**2 + 2*p. Let l be f(-3). Solve 16/3*w - 25/3*w**2 + 19/3*w**l - 7/3*w**4 - 4/3 + 1/3*w**5 = 0 for w.
1, 2
Suppose 0 = 2*j - m + 35, -3*m + 11 = 2*j + 50. Let x be 15/j*-2*3. Determine b so that -2*b**2 + 2*b**3 + 2*b**3 - b - x*b**3 = 0.
-1, 0
Let d(g) = g**2 + 21*g - 44. Let z be d(-23). Factor 2/5*a - 1/5*a**z - 2/5*a**3 + 0 + 1/5*a**4.
a*(a - 2)*(a - 1)*(a + 1)/5
Suppose -5*c - 3 + 23 = 0. Suppose -5*q = -j - 2 - c, -3*j = -12. Determine k so that 0 - 4/5*k**3 + 0*k + 2/5*k**q + 2/5*k**4 = 0.
0, 1
Suppose -3*j - 19 = -5*q, -5*j - 1 + 21 = 2*q. Let l be 0/j*1/1. Factor -4/5*r**3 + l*r - 2/5*r**4 - 2/5*r**2 + 0.
-2*r**2*(r + 1)**2/5
Suppose -2 = -o + 2. Factor -9*x**o + 3*x**5 - 4*x**4 - 6*x**3 + 10*x**4.
3*x**3*(x - 2)*(x + 1)
Suppose -4*g + 7 = 27. Let u = g - -7. Factor 0 - 2/7*l + 0*l**u + 2/7*l**3.
2*l*(l - 1)*(l + 1)/7
Let s(o) = -o**2 - 5*o - 1. Let x be s(-4). Factor -4*g**3 + 4*g**4 + 0 + x*g**2 - 1 + 4*g - 3*g**2 - 3*g**2.
(g - 1)*(g + 1)*(2*g - 1)**2
Let s(d) be the third derivative of -d**5/60 - 3*d**4/8 + 5*d**3/6 + 5*d**2. Let j be s(-9). Solve x**4 + 0 - 1/3*x**j - x**3 + 0*x + 1/3*x**2 = 0 for x.
0, 1
Let c(a) be the third derivative of -1/60*a**6 + 4*a**2 + 0*a + 0 + 1/6*a**4 + 1/6*a**3 - 1/42*a**7 + 1/15*a**5 - 1/168*a**8. Determine s, given that c(s) = 0.
-1, -1/2, 1
Let p(i) be the third derivative of 0*i + 1/8*i**6 + 0 - 1/4*i**4 - 3/20*i**5 + 4*i**2 + 0*i**3. Factor p(o).
3*o*(o - 1)*(5*o + 2)
Let m(t) = -8*t**3 - 9*t**2 - 6*t + 5. Let p(a) = 9*a**3 + 9*a**2 + 6*a - 6. Let c(h) = 6*m(h) + 5*p(h). Solve c(k) = 0 for k.
-2, -1, 0
Let x(i) be the third derivative of -2*i**2 - 11/36*i**4 - 2/9*i**3 + 0 + 0*i - 7/45*i**5. Factor x(q).
-2*(2*q + 1)*(7*q + 2)/3
Factor 0 - 1/4*r**2 + 1/4*r**3 + 1/4*r**4 - 1/4*r.
r*(r - 1)*(r + 1)**2/4
Suppose 12 = -12*d + 18*d. Factor 4/9*m + 0 - 2/9*m**3 - 2/9*m**d.
-2*m*(m - 1)*(m + 2)/9
Let o be 4*(1 - 1/(-4)). Factor 14*j**2 - j - 18*j - 8 - o*j.
2*(j - 2)*(7*j + 2)
Let b(j) = j**3 + j**2 + 1. Let f(z) = -z**3 - z**2 - 2. Let c(p) = 3*p**2. Let s be c(1). Let i(q) = s*f(q) + 6*b(q). Factor i(g).
3*g**2*(g + 1)
Let o be (-4)/14*(-3 + -4). Solve 42*h**3 + 50*h**4 + 4*h**2 + 18*h**5 + 0*h**o + 0*h**2 - 4*h + 2*h**2 = 0 for h.
-1, 0, 2/9
Suppose -r = 3*x - 3, x + 10 = -4*r - 0*r. Find t such that -2/7 + 4/7*t - 2/7*t**x = 0.
1
Let u = 73 + -217/3. Let b(d) be the first derivative of 14/5*d**5 + 0*d - u*d**2 + 1 - d**6 - 1/6*d**4 - 2*d**3. Let b(v) = 0. What is v?
-1/3, 0, 1, 2
Let h = 13 + -7. Let v(k) be the third derivative of 1/8*k**4 + 0*k + 2/105*k**7 - 1/40*k**h + 1/6*k**3 - 1/12*k**5 - 2*k**2 + 0. Let v(i) = 0. Calculate i.
-1, -1/4, 1
Suppose -2*q = 4 + 2, -2*v + 5*q + 21 = 0. Suppose -v*u = -5*u + 4. Factor o**2 + o + 2*o - u*o.
o*(o + 1)
Let a(g) be the second derivative of -3*g + 1/24*g**3 + 0 + 1/4*g**2 - 1/48*g**4. Determine k, given that a(k) = 0.
-1, 2
Let w = -72 - -74. Factor -2/5*d**w + 0 - 3/5*d**3 + 0*d - 1/5*d**4.
-d**2*(d + 1)*(d + 2)/5
Let w(g) = g**3 - 3*g**2 + 5*g. Let j(i) = -i**3 - i**2 - i. Let x(f) = -5*j(f) - w(f). Determine a, given that x(a) = 0.
-2, 0
Let z = 316 - 498. Let y be z/(-52) + (-6)/4. What is b in 0 + 2/9*b**y - 4/9*b = 0?
0, 2
Factor 14*i - 4*i**2 + 15*i + 3*