r**3 - 6 = 0. Calculate r.
-2, -1/4
Let w be (34 - 6)*3/(-6). Let n = 19 + w. Let -n*c**2 + 2 - 1 + 4 = 0. What is c?
-1, 1
Let x(c) = -36*c**3 - 208*c**2 + 26*c - 3. Let d(i) = 250*i**3 + 1455*i**2 - 185*i + 20. Let u(n) = -3*d(n) - 20*x(n). Factor u(l).
-5*l*(l + 7)*(6*l - 1)
Let y(q) be the third derivative of q**4/24 + 5*q**3/6 + 4*q**2. Let s be y(-3). Factor 6*m**3 + 9*m**4 - 3*m**s - 4*m**4 - 4*m**4 - 4*m**4.
-3*m**2*(m - 1)**2
Let z be 339/(-565)*10/(-12). Factor 0*k - k**3 - z*k**4 + 0 - 1/2*k**2.
-k**2*(k + 1)**2/2
Let t(x) be the second derivative of -5*x**4/12 + 45*x**2/2 + 5*x - 7. Factor t(z).
-5*(z - 3)*(z + 3)
Let d = -41 + 44. Let l(r) be the second derivative of 0*r**d + 1/28*r**4 + 0 - 3/14*r**2 + 12*r. Factor l(x).
3*(x - 1)*(x + 1)/7
Let l = 66 + -32. Factor 36*z**2 - 7 - l*z**2 + 5 + 6 - 6*z.
2*(z - 2)*(z - 1)
Let f(v) be the third derivative of 2/15*v**6 + 1/84*v**8 + 0 + 0*v - 5/6*v**4 - 2/15*v**5 - 9*v**2 + 8/105*v**7 - 4/3*v**3. Factor f(q).
4*(q - 1)*(q + 1)**3*(q + 2)
Let b(r) be the first derivative of 3*r**4/8 - 10*r**3 + 51*r**2 - 96*r - 182. Solve b(a) = 0 for a.
2, 16
Let m(d) = -d. Let s(x) = -110*x**2 + 456*x - 16. Let o(c) = 12*m(c) + s(c). Factor o(p).
-2*(p - 4)*(55*p - 2)
Suppose -4*o - 6 = -7*o. Let p be 36/(-120)*-1*o. Factor 6/5 + 9/5*x + p*x**2.
3*(x + 1)*(x + 2)/5
Let b = -12 - -16. Suppose 2*h**2 - b - 8 + 0 + h**2 = 0. Calculate h.
-2, 2
Let c be (-2132)/(-1599)*(-6)/(-14). Factor c*g**2 + 16/7*g + 12/7.
4*(g + 1)*(g + 3)/7
Suppose p + 10 = 4*h, 4*p = -4 - 4. Suppose -j + 4 = 3*g - 3, 5*j - h*g - 18 = 0. Factor 14/5*b + 4/5 + 2/5*b**j + 18/5*b**2 + 2*b**3.
2*(b + 1)**3*(b + 2)/5
Let s(y) = 4*y - 3. Let a be s(4). Let f(j) = j**2 - 12*j - 13. Let q be f(a). Factor -3*r + q*r + 3*r**2 + 0*r**2.
3*r*(r - 1)
Determine c so that -81/8*c**5 - 27/2*c + 3 + 231/8*c**3 - 27/4*c**2 + 9*c**4 = 0.
-1, 2/9, 2/3, 2
Factor -2*a + 9/4*a**2 - 1/4*a**3 + 0.
-a*(a - 8)*(a - 1)/4
Let u(h) be the first derivative of h**4/4 - 77*h**3/3 + 760*h**2 - 1444*h + 710. Find p such that u(p) = 0.
1, 38
Let y = 72 - 42. Solve y*s**3 - 90*s + 25*s**3 + 300*s**2 + 160 - 370*s - 10*s**3 = 0 for s.
-8, 2/3
Let f(p) be the second derivative of p**10/15120 - p**8/1680 + p**6/360 + p**4/4 - p. Let x(k) be the third derivative of f(k). Factor x(n).
2*n*(n - 1)**2*(n + 1)**2
Let p(q) be the third derivative of 2*q**7/735 - 3*q**6/70 + 4*q**5/15 - 6*q**4/7 + 32*q**3/21 + 210*q**2. Suppose p(f) = 0. What is f?
1, 2, 4
Let g(x) be the first derivative of -x**4/10 - 4*x**3/15 - x**2/5 - 49. Factor g(r).
-2*r*(r + 1)**2/5
Let l be ((-270)/1800)/((-6)/56). Let i(c) be the first derivative of -2/5*c + 29/15*c**3 + l*c**4 - 1/10*c**2 + 8. Factor i(f).
(f + 1)*(4*f - 1)*(7*f + 2)/5
Let d = 229 - 222. Let v(g) be the third derivative of -1/40*g**6 + 3/20*g**5 + 0*g - 2*g**2 + 0*g**3 - 3/70*g**d + 1/8*g**4 + 0. Find s such that v(s) = 0.
-1, -1/3, 0, 1
Let c be (8/(-10))/(42/2100). Let w be (8/(-30))/((4/1)/c). Factor -1/3*n**3 - w*n - 16/3 + 7/3*n**2.
-(n - 4)**2*(n + 1)/3
Let o(r) be the second derivative of r**5/80 + r**4/12 + r**3/6 + 4*r**2 - 2*r. Let k(a) be the first derivative of o(a). Factor k(j).
(j + 2)*(3*j + 2)/4
Suppose 2*q = 5*f - 31, -q + 14 = 4*f + q. Solve s**f + 4*s**2 + 4*s**3 - 2 + 5*s**4 - 2*s - 5*s**5 + 2*s**5 - 7*s**4 = 0.
-1, 1
Let q(u) be the first derivative of -u**2 - 4*u + 7. Let x be q(-3). Let x*h**5 - 3*h**4 + h**5 + h**4 - 2*h**5 = 0. Calculate h.
0, 2
Suppose t + 0*t = v - 3, 4*v + 5*t = -15. Let m(h) be the first derivative of 3*h**4 + 0*h**2 - 9/5*h**5 + 2 + v*h - h**3. Factor m(y).
-3*y**2*(y - 1)*(3*y - 1)
Let u(p) be the first derivative of 3*p**5/10 - 25*p**4/24 + p**3/12 + p**2/2 + 8*p + 9. Let l(v) be the first derivative of u(v). Determine w so that l(w) = 0.
-1/4, 1/3, 2
Let d = 85 + -83. Factor -138*c**d - 12 + 123*c**2 + 3*c**3 + 24*c - 9 + 9.
3*(c - 2)**2*(c - 1)
Let v(n) be the second derivative of n**6/80 - n**5/8 + n**4/2 - n**3 + n**2 - 11*n - 4. Let v(l) = 0. Calculate l.
2/3, 2
Let b(n) = 2*n**2 + 139*n + 1985. Let t be b(-20). Determine w, given that 2/17*w**t + 8/17 + 56/17*w**2 + 44/17*w**3 + 16/17*w**4 + 2*w = 0.
-4, -1
Suppose -5*u - 3*q = -7, 0 = -4*u - 2*q + 2 + 4. Let i(k) be the first derivative of -1/7*k**u - 1/14*k**4 + 0*k - 4/21*k**3 + 5. Factor i(p).
-2*p*(p + 1)**2/7
Let h(r) = -r**3 - r**2 + 5*r + 8. Let v be h(-2). Factor 0 - 12/5*y**2 + 2/5*y**3 + v*y.
2*y*(y - 5)*(y - 1)/5
Factor -793 + 2*g - 5*g**3 + 793 - 11*g**2 - 8*g.
-g*(g + 1)*(5*g + 6)
Let x(p) = 7*p**2 - 5*p - 5. Let j(m) = 8*m**2 - 6*m - 6. Let v(i) = 6*j(i) - 7*x(i). Let n(l) = -15*l**2 - 35*l - 20. Let c(u) = -n(u) + 20*v(u). Factor c(s).
-5*s*(s - 3)
Let n(d) be the third derivative of -1/20*d**5 - 18*d**3 - 3/2*d**4 + 0 + 16*d**2 + 0*d. Factor n(g).
-3*(g + 6)**2
Let u(d) be the second derivative of d**4/24 - 151*d**3/12 + 75*d**2/2 + 183*d. Factor u(y).
(y - 150)*(y - 1)/2
Suppose 216 + 316/3*o - 4/3*o**2 = 0. Calculate o.
-2, 81
Let a(q) = 50*q**2 + 420*q + 1260. Let y(x) = 7*x**2 + 60*x + 180. Let s(z) = 2*a(z) - 15*y(z). Factor s(g).
-5*(g + 6)**2
What is w in 82/5 + 2/5*w**2 - 84/5*w = 0?
1, 41
Let t = -768 - -771. Factor -1/4*s**4 - 3/4*s**t + 0 - 1/2*s + 5/4*s**2 + 1/4*s**5.
s*(s - 1)**3*(s + 2)/4
Let s(d) = d**2 - 13*d - 39. Let n be s(16). Factor 12*c - 3*c**2 + 26 - 42 + 22 + n.
-3*(c - 5)*(c + 1)
Let x(u) be the first derivative of 0*u + 0*u**5 + 1/6*u**6 - 4 - 3/4*u**4 + 0*u**2 + 2/3*u**3. Factor x(v).
v**2*(v - 1)**2*(v + 2)
Let o(s) be the second derivative of 0*s**2 - 3*s + 3/2*s**4 + 0 - 1/3*s**3 - 4/5*s**5 + 8/45*s**6. Let u(l) be the second derivative of o(l). Factor u(g).
4*(4*g - 3)**2
Suppose -49702 + 6*n**4 - 4*n + 49702 + 2*n**3 + 2*n**5 - 6*n**2 = 0. Calculate n.
-2, -1, 0, 1
Let k(m) be the second derivative of 14*m - m**5 - 2/21*m**7 + 0 + 2/3*m**4 + 8/15*m**6 + 0*m**3 + 0*m**2. Factor k(n).
-4*n**2*(n - 2)*(n - 1)**2
Factor -2/17*g**2 + 16/17*g + 18/17.
-2*(g - 9)*(g + 1)/17
Suppose 4*u - 79 = 89. Let d be 18/u*(21/9 + 1). Suppose d*q**2 + 8/7*q**3 + 0 - 4/7*q - 6/7*q**4 = 0. Calculate q.
-1, 0, 1/3, 2
Suppose 5*h - 2*y - 42 = -6*y, y = -3*h + 14. Factor -4/3 - 2/3*d**2 + h*d.
-2*(d - 2)*(d - 1)/3
Let r(l) be the second derivative of -l**7/16 - l**6/16 + 3*l**5/10 - l**4/8 + 15*l. Determine c, given that r(c) = 0.
-2, 0, 2/7, 1
What is s in 37/2*s**3 - 1/2*s**4 - 864 + 1080*s - 234*s**2 = 0?
1, 12
Let o(k) = -4*k**5 + 3*k**3 - 2*k**2 - 3*k + 3. Let c(i) = 9*i**5 - 6*i**3 + 4*i**2 + 7*i - 7. Let m(d) = -3*c(d) - 7*o(d). Solve m(f) = 0 for f.
-2, 0, 1
Let g(c) be the second derivative of c**5/80 + c**4/6 + 5*c**3/6 + 2*c**2 - c - 1. Suppose g(d) = 0. What is d?
-4, -2
Let h(x) be the third derivative of x**7/630 + x**6/6 + 15*x**5/2 + 13*x**4/12 + 41*x**2. Let m(g) be the second derivative of h(g). Solve m(c) = 0 for c.
-15
Let b be (-36)/(-14) + 9/21 - 65/26. Factor 1/3*q + b - 1/6*q**2.
-(q - 3)*(q + 1)/6
Let c be (2 + -5 - -3)/(-2). Let n = 0 - -2. Suppose c - 2/13*i**4 - 8/13*i**5 + 0*i + 0*i**n + 0*i**3 = 0. Calculate i.
-1/4, 0
Suppose 8*y - 60 = 5*y. Suppose -5*c + y = -5*x, -13 = -5*c + c + x. Factor 2 - 11*t**2 + c*t - 10*t**2 + 22*t**2.
(t + 1)*(t + 2)
Suppose 9 = -15*k + 54. Suppose -r + g - k = r, 9 = 2*r + 3*g. Find u such that -1/8*u**3 - 3/8*u**4 + r + 3/8*u**2 + 1/4*u - 1/8*u**5 = 0.
-2, -1, 0, 1
Determine y so that 135*y**3 - 20 - 31*y**5 - 2*y**4 + 24*y**5 - 63*y**5 - 3*y**4 - 5*y**5 - 60*y + 25*y**2 = 0.
-1, -2/3, -2/5, 1
Solve 2*d**4 - 130*d**3 + 386*d**2 + 10*d**4 - 2*d**4 + 2*d**4 - 48 + 73949*d - 74169*d = 0.
-1/6, 1, 4, 6
Solve 1/2*j**2 - 5*j + 9/2 = 0.
1, 9
Let k(s) be the first derivative of -2*s**3/3 - 6*s**2 + 14*s + 453. Factor k(i).
-2*(i - 1)*(i + 7)
Factor 0*w + 0 - 2/3*w**4 + 16/3*w**2 + 4/3*w**3.
-2*w**2*(w - 4)*(w + 2)/3
Let s(m) be the third derivative of m**5/180 + 2*m**4 + 288*m**3 - 5*m**2. Factor s(o).
(o + 72)**2/3
Let a(g) be the first derivative of 27*g**4/8 + 33*g**3/2 - 42*g**2 + 30*g + 67. Factor a(t).
3*(t + 5)*(3*t - 2)**2/2
Let t(n) be the first derivative of 14*n**6/3 + 188*n**5/5 + 14*n**4 - 368*n**3/3 + 48*n**2 + 181. Solve t(g) = 0 for g.
-6, -2, 0, 2/7, 1
Let r = 3 - -2. Let t(p) = p**3 + 5*p**2 + 21*p - 5. Let c(l) = -4*l**2 - 20*l