5 - 8*k**3 + p*k**2 - 2*k**4 + 8*k**5 - 3*k**m = 0.
-1, 0, 1/4, 1
Let i(b) be the second derivative of 1/90*b**5 + b + 0 + 0*b**4 + 0*b**2 + 0*b**3. Factor i(f).
2*f**3/9
Let -3/5*u**2 + 0 - 3/5*u = 0. Calculate u.
-1, 0
Let k(x) = 27*x**5 - 14*x**4 - 13*x**3. Let s(n) = 18*n**5 - 9*n**4 - 9*n**3. Let d(f) = -5*k(f) + 7*s(f). Factor d(r).
-r**3*(r - 1)*(9*r + 2)
Let p(l) = -6*l**4 + 6*l**3 - 2*l**2 + 2*l. Let i(d) = d**5 - d. Let v(h) = -2*i(h) - p(h). Suppose v(w) = 0. Calculate w.
0, 1
Suppose -i - i - 44 = -3*x, -5*i = -2*x + 33. Let x*v**3 + 4*v**2 + 2*v**5 - 4 + 16*v**4 + 4 + 4*v**5 = 0. What is v?
-1, -2/3, 0
Factor 4*s**4 - 34*s**2 + 4*s**4 + 30*s**2 + 14*s**3.
2*s**2*(s + 2)*(4*s - 1)
Let f = 199 + -7163/36. Let u(c) be the second derivative of 0*c**3 - f*c**4 - 2*c + 0 + 0*c**2. Suppose u(t) = 0. Calculate t.
0
Let x(t) be the second derivative of -t**8/4200 + t**6/300 + t**5/150 - t**3/2 + 7*t. Let l(f) be the second derivative of x(f). Suppose l(z) = 0. Calculate z.
-1, 0, 2
Suppose 5*m - 5 = -5*c, 2*m + 0 - 5 = c. Factor -6*h**m + 0*h + 3*h**5 - 4*h - 4*h**3 + 4*h**4 + 2 + 0*h**2 + 5*h.
(h - 1)*(h + 1)**3*(3*h - 2)
Let m be (-1)/7*14/(-12). Let c(f) be the first derivative of 0*f - 2 - m*f**3 + 0*f**2. Suppose c(z) = 0. Calculate z.
0
Determine x, given that 8/9*x + 2/9*x**5 + 0*x**2 - 10/9*x**3 + 0 + 0*x**4 = 0.
-2, -1, 0, 1, 2
Let t(g) be the third derivative of 0*g**6 + 1/1155*g**7 + 0*g**4 - 1/330*g**5 + 0 + 0*g + 0*g**3 - 2*g**2. Determine b, given that t(b) = 0.
-1, 0, 1
Factor -2*g**2 + 3 - 3*g - g + 3*g**2.
(g - 3)*(g - 1)
Let b(m) = 44*m - 88. Let j be b(2). Determine c, given that j - 1/3*c**2 - 2/3*c = 0.
-2, 0
Factor -4/3*f**3 + 4/3*f + 2/3*f**4 + 0*f**2 - 2/3.
2*(f - 1)**3*(f + 1)/3
Let t(p) be the third derivative of -p**8/112 - p**7/70 + p**6/20 + p**5/10 - p**4/8 - p**3/2 + 18*p**2. Factor t(y).
-3*(y - 1)**2*(y + 1)**3
Let i(z) be the first derivative of 5*z**3/3 - 5*z**2/2 - 10*z - 34. Factor i(g).
5*(g - 2)*(g + 1)
Let u(j) be the first derivative of -5*j**3/3 - 5*j**2 + 10. Let u(q) = 0. Calculate q.
-2, 0
Suppose -2*y - 2*l = 2*y - 90, -120 = -5*y - 4*l. Let n = -17 + y. Determine p so that 8/9*p + 0 + 2/9*p**n - 8/9*p**2 = 0.
0, 2
Let y(r) be the second derivative of r**5/16 + 5*r**4/48 - 5*r**3/12 + 14*r. Factor y(l).
5*l*(l - 1)*(l + 2)/4
Let -6/5*z - 2/5 + 6/5*z**4 - 4/5*z**2 + 4/5*z**3 + 2/5*z**5 = 0. Calculate z.
-1, 1
Let b = 17/45 - 2/45. Let y(s) be the second derivative of -s - b*s**3 + 0 - 1/12*s**4 + 0*s**2. Factor y(m).
-m*(m + 2)
Let j(y) be the second derivative of y**5/210 + y**4/84 - y**2/2 + 2*y. Let l(w) be the first derivative of j(w). Let l(d) = 0. What is d?
-1, 0
Let r(v) be the second derivative of -1/42*v**4 + 0*v**2 + 1/70*v**5 + 1/105*v**6 - v + 0 + 0*v**3 - 1/147*v**7. Find w, given that r(w) = 0.
-1, 0, 1
Let a(z) be the third derivative of 5*z**8/336 - z**6/24 + 18*z**2. Let a(d) = 0. Calculate d.
-1, 0, 1
What is u in 4*u**2 + 1 - 5*u**2 - 2*u**2 + 4*u**2 + 2*u = 0?
-1
Let s(k) be the first derivative of 2/3*k**3 - 1 + 8*k - 4*k**2. Factor s(t).
2*(t - 2)**2
Suppose 14*g - 4*a = 17*g + 6, 3*a + 17 = 4*g. Solve -1/2*c**g + 0 - 3/4*c**3 + 1/4*c = 0 for c.
-1, 0, 1/3
Let y = -15 + 18. Suppose 0 = -0*z - y*z. Suppose -1/4 + z*c + 1/4*c**2 = 0. What is c?
-1, 1
Determine o so that -3*o**3 - 2*o**2 + 3 - 3*o**2 - o**2 + 3*o + 3*o**2 = 0.
-1, 1
Let y(a) be the first derivative of 2*a**3/9 + 5*a**2/3 + 11. Solve y(c) = 0 for c.
-5, 0
Find s such that -10/9*s**4 + 0*s + 50/9*s**5 - 32/9*s**3 - 8/9*s**2 + 0 = 0.
-2/5, 0, 1
Let o(w) be the third derivative of 0*w + 1/3*w**4 + 7/300*w**6 - 23/150*w**5 + 0 - 10*w**2 - 4/15*w**3. Let o(u) = 0. What is u?
2/7, 1, 2
Let z(k) = k**2 - 5*k + 6. Let p be z(3). Let p + 1/5*o**2 - 2/5*o = 0. What is o?
0, 2
Find v such that -5*v**3 + 4/5 + 9*v**2 - 24/5*v = 0.
2/5, 1
Let s be (-653)/(-90) + -7 + 4/(-18). Let z(n) be the third derivative of 0 + s*n**5 + 0*n + 0*n**3 - 2*n**2 + 0*n**4. Factor z(t).
2*t**2
Let o(x) = -8*x**3 - 5*x**3 + 3*x + 2*x**4 + 4 - 13 + 7*x**4. Let l(t) = -5*t**4 + 7*t**3 - t + 5. Let c(s) = -5*l(s) - 3*o(s). Solve c(w) = 0 for w.
-1, 1
Let l(a) be the first derivative of a**9/9072 + 4*a**3/3 + 2. Let j(h) be the third derivative of l(h). Factor j(z).
z**5/3
Let d be -9*(-1 + 2)*-1. Suppose 0 = -4*q + 5*w + d, 0 = 2*q - 5*w + 3 - 0. Suppose 0*a - q*a**3 + 49/4*a**5 - a**2 - 21/4*a**4 + 0 = 0. Calculate a.
-2/7, 0, 1
Let m = 2 + -1. Let c be 2 - 1/((-1)/m). Determine n, given that -2*n**c + 0*n**3 + 2*n**2 - 4*n**2 + 6*n**3 - 2*n**4 = 0.
0, 1
Solve -25*w**2 - 24*w - 4*w**3 + 18*w**2 - 13*w**2 = 0.
-3, -2, 0
Let o(w) = 3*w**2 + 1. Let t = 8 - 9. Let p be o(t). Factor -7*r**2 - 2*r + 7*r**4 + 4*r**3 - p*r**3 + 2*r**3.
r*(r - 1)*(r + 1)*(7*r + 2)
Let z(j) be the second derivative of 1/12*j**4 + j + 0 + 3/2*j**2 + 1/60*j**5 + 1/6*j**3. Let h(m) be the first derivative of z(m). Factor h(w).
(w + 1)**2
Let u(k) be the second derivative of 1/50*k**5 - 1/105*k**7 + 0*k**3 + 2*k + 0*k**2 + 1/15*k**4 + 0 - 2/75*k**6. What is v in u(v) = 0?
-2, -1, 0, 1
Let r be (1 - 0) + 501/180. Let v = r + -31/12. Factor 0 + 2/5*t**2 - 2/5*t + v*t**4 + 2*t**3.
2*t*(t + 1)**2*(3*t - 1)/5
Let x(l) be the first derivative of 0*l - l**3 + 1 + 3/2*l**2. Find v such that x(v) = 0.
0, 1
Let n = -124 - -870/7. Suppose 0 - 2/7*c**3 + 0*c**2 + n*c = 0. What is c?
-1, 0, 1
Let t = -36 - -40. Factor 0 - 1/4*h**t + 3/4*h**3 - 3/4*h**2 + 1/4*h.
-h*(h - 1)**3/4
Let v(y) be the third derivative of 0*y + 5*y**2 + 0 + 1/240*y**5 + 1/96*y**4 - 1/24*y**3 - 1/480*y**6. Factor v(a).
-(a - 1)**2*(a + 1)/4
Suppose 2 - 15*p**3 + 6*p**3 + 3*p**2 - 7 + 9*p + 2 = 0. What is p?
-1, 1/3, 1
Let n be 5/((-15)/(-18)) - 256/48. Factor 4/3 + n*a - 2/3*a**2.
-2*(a - 2)*(a + 1)/3
Let b(x) = 2*x**2 - 2*x + 4. Let q(o) = 1. Let g(w) = -b(w) + 8*q(w). Factor g(d).
-2*(d - 2)*(d + 1)
Solve -38/13*o**3 + 0 + 16/13*o**2 + 14/13*o**4 + 8/13*o = 0 for o.
-2/7, 0, 1, 2
Let v = 1156/15 - 77. Let t(r) be the first derivative of 0*r - 1/12*r**4 + 1/6*r**2 - v*r**5 + 1/9*r**3 - 1. Factor t(f).
-f*(f - 1)*(f + 1)**2/3
Factor 0 + h**4 - 1/2*h**2 + 1/4*h - 3/4*h**3 + h**5.
h*(h + 1)**2*(2*h - 1)**2/4
Let u(o) be the third derivative of 5*o**8/2688 + 13*o**7/1680 + 3*o**6/320 - o**5/480 - o**4/96 + 20*o**2. Solve u(p) = 0 for p.
-1, 0, 2/5
Let d(k) be the third derivative of k**7/840 - k**5/240 + 6*k**2. Factor d(v).
v**2*(v - 1)*(v + 1)/4
Let m be (-1*(-5)/(-30))/(4/(-18)). Find a, given that 1/4*a**4 + a + 0 - m*a**3 + 0*a**2 = 0.
-1, 0, 2
Let h(r) be the third derivative of r**4/24 - r**3/2 - r**2. Let m be h(6). Factor 4*d**5 - 3*d**4 + d**2 - 3*d**5 - d**m + 2*d**4.
d**2*(d - 1)**2*(d + 1)
Let o(u) be the third derivative of u**7/420 - u**5/60 - u**3/2 + 3*u**2. Let p(w) be the first derivative of o(w). Factor p(k).
2*k*(k - 1)*(k + 1)
Let m(n) be the third derivative of n**7/2240 - n**6/960 - 2*n**3/3 + n**2. Let k(x) be the first derivative of m(x). Factor k(i).
3*i**2*(i - 1)/8
Let t(h) be the first derivative of 1/2*h**2 + 4 + 0*h - 1/8*h**4 - 1/6*h**3. Suppose t(x) = 0. What is x?
-2, 0, 1
Let v be (-91)/(-126) - (-3)/(-54)*-3. Factor 26/9*x**3 - 8/3*x**2 - 4/3*x**4 + v*x + 0 + 2/9*x**5.
2*x*(x - 2)**2*(x - 1)**2/9
Suppose -5*m = 8 - 3. Let u(c) = c**3 + c + 1. Let j(d) = -3*d**3 + d**2 - 5*d - 5. Let n(o) = m*j(o) - 4*u(o). Factor n(w).
-(w - 1)*(w + 1)**2
Let m(y) be the second derivative of 3*y**5/20 + y**4/4 - y**3 + 2*y. Determine x so that m(x) = 0.
-2, 0, 1
Let x = 8 + -5. Suppose 0 = -7*h + x*h. Let 0*o - 1/4*o**2 + h + 1/4*o**3 = 0. What is o?
0, 1
Let t(y) be the third derivative of y**8/112 + y**7/70 - y**6/10 - y**5/5 + 5*y**2. Determine x so that t(x) = 0.
-2, -1, 0, 2
Let t(b) be the first derivative of -4/9*b**2 + 1 + 0*b - 7/18*b**4 - 32/27*b**3. Find n, given that t(n) = 0.
-2, -2/7, 0
Find z, given that -z - z**2 + 3*z**2 - 5*z**2 + 4*z**2 - 2 = 0.
-1, 2
Let x(d) be the first derivative of -d**5/20 - d**4/16 + d**3/6 - 5. Factor x(r).
-r**2*(r - 1)*(r + 2)/4
Let g(l) be the second derivative of -l**5/80 - 5*l**4/48 - l**3/8 + 9*l**2/8 - 8*l. Factor g(u).
-(u - 1)*(u + 3)**2/4
Solve 50 - 33 + 5*i**3 + 15*i**2 - 37 = 0 for i.
-2, 1
Let q(a) be the second derivative of a**7/7560 -