actor -p**4 - g*p**2 + 1/4*p + 1/4 + 11/4*p**3.
-(p - 1)**3*(4*p + 1)/4
Let b(a) be the first derivative of 23*a**3/3 - a**2 - a + 3. Let w be b(-1). Factor -w*l**2 + 0*l**3 - 6*l**3 - 8*l**3 - 6*l + 4.
-2*(l + 1)**2*(7*l - 2)
Suppose -4*v + 64 = -2*c - 2*c, 2*v - 32 = 5*c. Let x = -16 + v. Let 1/4 - 1/4*r**4 - 1/2*r + 1/2*r**3 + x*r**2 = 0. Calculate r.
-1, 1
Let v(z) be the second derivative of z**4/48 + z**3/12 + z**2/8 + 17*z. Solve v(s) = 0 for s.
-1
Let l(f) be the third derivative of -f**8/6720 - f**7/1680 + f**5/30 + 2*f**2. Let v(w) be the third derivative of l(w). Find t such that v(t) = 0.
-1, 0
Suppose 4*h = 4*i - 4, -i + 8 = 3*h - 1. Factor -6 + 3*x**2 + 4*x**2 - 3*x - 4*x**h.
3*(x - 2)*(x + 1)
Let p(f) be the first derivative of 1 - 1/2*f**2 - 1/3*f**3 + 5/4*f**4 - 3/5*f**5 + 0*f. Factor p(b).
-b*(b - 1)**2*(3*b + 1)
Let q = 3 + -2. Suppose -3*p = 4*z - 7, q = -z - 3*z + 5*p. Factor -k**4 - 1 - 1 + 2*k**2 + z.
-(k - 1)**2*(k + 1)**2
Let l(v) be the first derivative of -25*v**6/9 + 8*v**5/3 - 2*v**4/3 + 4. Solve l(h) = 0 for h.
0, 2/5
Let t(k) be the second derivative of -k**9/1512 + k**8/420 - k**7/420 + 2*k**3/3 + k. Let c(u) be the second derivative of t(u). Factor c(y).
-2*y**3*(y - 1)**2
Let -2/3*j**2 + 0 - 2/9*j**3 - 4/9*j = 0. Calculate j.
-2, -1, 0
Let g(l) = -15*l**2 + 15. Let o(p) = p**3 - 15*p**2 + 14. Let y(f) = -6*g(f) + 5*o(f). Factor y(t).
5*(t - 1)*(t + 2)**2
Let p(g) = g**2 - 2*g + 2. Let q be 9*(-2 + 1)/(-1). Let r(t) = -5*t**2 + 9*t - 9. Let o(d) = q*p(d) + 2*r(d). Factor o(c).
-c**2
Let b be ((-1)/10)/((-44)/(-16) - 3). Determine d, given that -b*d - 4/5*d**4 + 2/5*d**5 + 0*d**3 + 4/5*d**2 + 0 = 0.
-1, 0, 1
Let b(r) be the second derivative of r**7/126 - r**6/30 + r**5/30 + r**4/18 - r**3/6 + r**2/6 - 6*r. Solve b(h) = 0 for h.
-1, 1
Let g = 57 - 57. Let j(z) be the third derivative of 1/60*z**6 - z**2 + g*z + 1/12*z**4 - 1/15*z**5 + 0 + 0*z**3. Factor j(c).
2*c*(c - 1)**2
Suppose -3*q - 9 = -6*q. Let o = -2 + 4. Factor -l**3 + 0*l**2 + q*l + l**2 - l**4 - o*l.
-l*(l - 1)*(l + 1)**2
Let i(a) be the first derivative of -5*a**6/6 + 7*a**5 + 85*a**4/4 + 15*a**3 - 49. Factor i(m).
-5*m**2*(m - 9)*(m + 1)**2
Let g(r) be the first derivative of 5*r**6/6 + 4*r**5 + 25*r**4/4 + 10*r**3/3 + 7. Find y, given that g(y) = 0.
-2, -1, 0
Let w(l) = -l**3 + 6*l**2 + 7*l - 6. Let c be w(4). Suppose 39 - c = -5*o. Let 4/7*r + 0 + 2*r**2 + 10/7*r**o = 0. What is r?
-1, -2/5, 0
Let a(z) be the second derivative of 0*z**2 - 1/24*z**4 + 0 + 1/40*z**5 + 3*z - 1/6*z**3. What is g in a(g) = 0?
-1, 0, 2
Let u(q) be the first derivative of -4 - 2/9*q**3 - 4/3*q**2 - 8/3*q. Let u(s) = 0. Calculate s.
-2
Let n = 19/48 - 1/16. Find r such that 2/3*r**3 - 2/3*r + 1/3*r**4 - n + 0*r**2 = 0.
-1, 1
Let t(x) be the third derivative of -x**6/360 - x**5/90 + x**4/72 + x**3/9 - 2*x**2. Factor t(b).
-(b - 1)*(b + 1)*(b + 2)/3
Factor 17/2*n**3 + 7/2*n**4 + 17/2*n**2 + 1/2*n**5 + 3*n + 0.
n*(n + 1)**2*(n + 2)*(n + 3)/2
Let l = 53/25 + -38/25. Determine s, given that 3/5*s**3 - 3/5*s + 0 + 3/5*s**4 - l*s**2 = 0.
-1, 0, 1
Let u = -8/13 - -253/390. Let i(c) be the second derivative of 0*c**2 - 1/15*c**3 + 0 - 2*c - u*c**4. Let i(x) = 0. What is x?
-1, 0
Let a(j) = j**3 + 2*j**2 - 5*j - 3. Let h be a(-3). Let f = 7 - h. Let 3/4*d - 11/2*d**3 - 5/4*d**5 - 1/2 + 2*d**2 + 9/2*d**f = 0. What is d?
-2/5, 1
Let x(g) be the third derivative of -1/20*g**4 + 3/10*g**3 + 1/300*g**5 + 0*g + 0 + 2*g**2. What is v in x(v) = 0?
3
Let c(h) be the third derivative of h**5/15 + 2*h**4/3 + 8*h**3/3 + 4*h**2. Suppose c(y) = 0. Calculate y.
-2
Suppose 0 = k - 0 - 5. Suppose 2*l - k*p - 8 = -3*p, 0 = 4*l - 5*p - 17. Find r such that -1/3*r**4 + 0*r - 1/3*r**2 + 0 - 2/3*r**l = 0.
-1, 0
Let z be ((-6)/(-10))/((-4)/(-20)). Suppose 2*j**2 - z*j**3 + 2*j - 2*j**4 + 4*j**3 - 3*j**3 = 0. What is j?
-1, 0, 1
Let b(l) be the second derivative of -1/6*l**3 + 1/360*l**6 + 0 + 1/24*l**4 - l + 0*l**2 + 1/60*l**5. Let i(y) be the second derivative of b(y). Factor i(f).
(f + 1)**2
Suppose 2*a + 6 = 4*z - 0*a, 0 = z + 4*a + 12. Let u(n) be the second derivative of 1/5*n**2 + 2*n + 0*n**3 - 1/30*n**4 + z. Find d such that u(d) = 0.
-1, 1
Let c(x) be the third derivative of -x**5/3 - 4*x**4/3 - 32*x**3/15 - 14*x**2. Solve c(t) = 0 for t.
-4/5
Let i(n) = 15*n**5 + 10*n**4 - 5*n**3 + 5*n**2 + 5. Let l(c) = -7*c**5 - 5*c**4 + 2*c**3 - 2*c**2 - 2. Let b(d) = 2*i(d) + 5*l(d). Find q, given that b(q) = 0.
-1, 0
Suppose 3*p = 7 + 2. Find m, given that -2*m**2 - p + 4 + 2 - m**2 = 0.
-1, 1
Let q(f) be the third derivative of -f**8/168 - f**7/35 - f**6/60 + f**5/10 + f**4/6 + f**2. Determine s, given that q(s) = 0.
-2, -1, 0, 1
Let f(b) = -b**3 + b**2 + 2. Let z be f(2). Let t be 3 - (z + 93/21). Solve -6/7*m**3 + 2/7*m - t*m**2 + 0 = 0.
-1, 0, 1/3
Let r = -4 - 7. Let x(a) = 3*a**2 + 2*a - 5. Let c(n) = -8*n**2 - 5*n + 14. Let b(m) = r*x(m) - 4*c(m). Let b(f) = 0. What is f?
-1
Suppose 0 = -4*l + 3*w + 13, 0*w - 2 = -2*w. Factor l - 2 - 2*s**2 + s**2 + s.
-(s - 2)*(s + 1)
Let x(r) be the first derivative of -2*r**5/45 - r**4/9 + 2*r**2/9 + 2*r/9 + 6. Find i, given that x(i) = 0.
-1, 1
Let w(p) = -7*p**5 + 15*p**4 - 14*p**3 - 8*p**2 + 20*p. Let n(c) = -6*c**5 + 15*c**4 - 15*c**3 - 9*c**2 + 21*c. Let i(x) = -4*n(x) + 3*w(x). Factor i(r).
3*r*(r - 2)**3*(r + 1)
Let k(b) be the third derivative of -b**8/16128 + b**7/1680 - b**6/720 - b**5/15 - 6*b**2. Let z(w) be the third derivative of k(w). Let z(o) = 0. Calculate o.
2/5, 2
Let f(p) = -2*p - 4. Let v be f(-3). Suppose 28 = 5*n - v*r, n = -4*r - 0*r - 12. Suppose 5/3*k**n - 8/3*k**3 + 0 + 2/3*k + 1/3*k**2 = 0. Calculate k.
-2/5, 0, 1
Let o(h) = 4*h**2 - 4. Let l(m) = 4*m**2 - 4. Let w(s) = -5*l(s) + 6*o(s). Suppose w(f) = 0. What is f?
-1, 1
Let q(j) be the first derivative of j**6/39 - 6*j**5/65 + 3*j**4/26 - 2*j**3/39 - 6. Factor q(h).
2*h**2*(h - 1)**3/13
Let u(a) be the first derivative of 1/3*a**3 - 1/12*a**4 + 0*a + 4 - 1/3*a**2. Suppose u(z) = 0. Calculate z.
0, 1, 2
Let i(w) be the first derivative of -4 + 4/5*w**5 - 4/3*w**3 + 4*w**2 + 2/3*w**6 + 0*w - 3*w**4. Factor i(c).
4*c*(c - 1)**2*(c + 1)*(c + 2)
Let p(t) = -t**2 + 4*t. Let w be p(3). Suppose w*a - 21 = -4*s, -a = 4*s - 17 + 2. Factor -4 - 6*z - a*z**2 - 1/2*z**3.
-(z + 2)**3/2
Let s(g) be the first derivative of 13/6*g**4 + 0*g**2 + 4/9*g**3 + 0*g + 22/15*g**5 - 5. Let s(x) = 0. Calculate x.
-1, -2/11, 0
Let g(w) = -2*w**5 - 7*w**4 - 21*w**3 + 12*w**2 + 18*w + 5. Let h(q) = q**5 + 3*q**4 + 11*q**3 - 6*q**2 - 9*q - 3. Let a(v) = -3*g(v) - 5*h(v). Solve a(b) = 0.
-3, -1, 0, 1
Factor 0 - 2/17*u**2 + 0*u + 2/17*u**4 + 0*u**3.
2*u**2*(u - 1)*(u + 1)/17
Let q = -17 - -35/2. Suppose -5*r + 12 = r. Solve x - x**r - 7/2*x**4 - 4*x**3 - x**5 + q = 0.
-1, 1/2
Suppose 0 = 19*w - 16*w. Let j(a) be the first derivative of w*a**2 - 1/9*a**3 + 2 + 1/3*a. What is x in j(x) = 0?
-1, 1
Let n(y) be the first derivative of y**6/21 - 4*y**5/35 + 9. Find q such that n(q) = 0.
0, 2
Let q(i) = 15*i**2 + 34*i + 19. Let b(x) = 5*x**2 + 11*x + 6. Let s(a) = -11*b(a) + 4*q(a). Factor s(t).
5*(t + 1)*(t + 2)
Let g(i) = 2*i**2 - 12*i + 10. Let b be g(9). Factor 46*j**4 - 100*j + 31 - b*j**2 + 17 + 10*j**5 + 40*j**3 - 16 + 36*j.
2*(j - 1)*(j + 2)**3*(5*j - 2)
Factor 68/3*y**2 - 155/3*y - 50/3 - 7/3*y**3.
-(y - 5)**2*(7*y + 2)/3
Let l = 2/1291 - -9001/23238. Let c(k) be the second derivative of -4/45*k**6 + 0*k**2 - 2*k + 0 - 2/15*k**5 + l*k**4 - 2/9*k**3. Factor c(a).
-2*a*(a + 2)*(2*a - 1)**2/3
Let z(w) be the third derivative of w**2 - 1/10*w**5 + 1/6*w**4 - 1/30*w**6 + 0*w + 0*w**3 + 0 + 1/35*w**7. Find r, given that z(r) = 0.
-1, 0, 2/3, 1
Let r(d) be the second derivative of -1/18*d**3 - 1/2*d**2 + 1/36*d**4 + 1/60*d**5 + 2*d + 0. Let a(y) be the first derivative of r(y). Factor a(t).
(t + 1)*(3*t - 1)/3
Let p be (0 + 6)*32/12. Factor p*n**2 - n**2 + 12*n - 5*n**3 + 9*n**3 - 3*n**2 + 4.
4*(n + 1)**3
Let k(c) = 32*c**2 + 236*c + 1198. Let l(f) = 11*f**2 + 78*f + 399. Let z(a) = -6*k(a) + 17*l(a). Suppose z(u) = 0. What is u?
-9
Let p(v) be the first derivative of v**4 + 16*v**3/3 + 10*v**2 + 8*v + 23. What is q in p(q) = 0?
-2, -1
Let a = -881 - -881. Suppose -2/5*p**3 + a*p + 0 - 2/5*p**2 = 0. Calculate p.
-1,