*x**5 + 0*x**2 + 0*x**n + 0 - 1/60*x**4 - x. Factor p(m).
-m**2*(m + 1)/5
Let 0 + 17/3*o**4 + 11/3*o**2 + 7*o**3 + 2/3*o + 5/3*o**5 = 0. Calculate o.
-1, -2/5, 0
Determine j so that 0*j**2 - 2*j**2 + 0*j - j - j = 0.
-1, 0
Suppose 0 = -0*z + 2*z - 4. Let b(s) be the second derivative of 49/30*s**6 + 0 + 1/3*s**4 - 7/5*s**5 + 2*s + 0*s**z + 0*s**3. Factor b(w).
w**2*(7*w - 2)**2
Let k(j) be the third derivative of -j**5/15 - 2*j**4/3 - 8*j**3/3 - 6*j**2. Suppose k(q) = 0. What is q?
-2
Let f(i) be the second derivative of -i**9/7560 - i**8/1680 - i**7/2100 + i**3/2 - 3*i. Let n(u) be the second derivative of f(u). Let n(v) = 0. What is v?
-2, -1/2, 0
Let l(m) be the third derivative of 1/210*m**6 + 2*m**2 - 1/210*m**5 + 0*m**4 + 0*m**3 + 0*m + 0 - 1/735*m**7. Factor l(g).
-2*g**2*(g - 1)**2/7
Let f(n) be the first derivative of 2*n**2 + 1/8*n**4 + 5/6*n**3 - 3 + 2*n. Factor f(b).
(b + 1)*(b + 2)**2/2
Let a(g) = g**3 - 2*g**2 - 4*g + 3. Let w be a(3). Factor 3/4*z**5 + 3/2*z**4 + 0*z + 0 + 3/4*z**3 + w*z**2.
3*z**3*(z + 1)**2/4
What is o in -15/2*o**3 + 27/2*o**2 + 3 - 21/2*o + 3/2*o**4 = 0?
1, 2
Let o(v) be the first derivative of v**6/18 + v**5/5 + v**4/4 + v**3/9 + 18. Factor o(y).
y**2*(y + 1)**3/3
Let z(r) = r**2 - 5. Let d be ((-12)/(-8))/(6/28). Let w be z(d). Factor 5 - w*b**2 - 2 + 3*b + 6*b**4 + 35*b**2 - 3*b**3.
3*(b - 1)**2*(b + 1)*(2*b + 1)
Suppose 0*l + 2*l - 4 = 0. Suppose -4*f + 14 = 3*s - 2*f, -16 = -4*s - l*f. What is m in -m**2 + s*m**3 - 5 - m**4 + 5 = 0?
0, 1
Let q = 3724/5 - 744. Factor 2/5*a + 0 + 0*a**2 - q*a**4 - 6/5*a**3.
-2*a*(a + 1)**2*(2*a - 1)/5
Let a(o) be the second derivative of -2*o**7/21 - o**6/5 + o**4/6 + 48*o. Solve a(x) = 0 for x.
-1, 0, 1/2
Let v(y) be the second derivative of 0 + 1/27*y**4 + 1/9*y**2 + 1/9*y**3 + 5*y. Factor v(b).
2*(b + 1)*(2*b + 1)/9
Let h(k) be the first derivative of -k**6/60 + k**5/20 - k**3/6 + k**2/4 + k + 1. Let w(q) be the first derivative of h(q). Solve w(p) = 0.
-1, 1
Determine g, given that 0 + 4/5*g**2 - 6/5*g**4 + 2/5*g**3 + 0*g = 0.
-2/3, 0, 1
Let s(z) = -3*z**2 - 3*z. Let c(a) = 6*a**2 + 6*a. Let x(b) = 2*c(b) + 5*s(b). Factor x(v).
-3*v*(v + 1)
Suppose 4*c = -0*c + 16, 0 = -4*j - c + 68. Suppose -z + j = 3*z. Factor -z*b**2 + b - 4*b + 2*b.
-b*(4*b + 1)
Let y(g) = 9*g**4 + 11*g**3 - 15*g**2 - 9*g + 16. Let m(c) = -10*c**4 - 11*c**3 + 14*c**2 + 10*c - 17. Let k(q) = 6*m(q) + 7*y(q). Suppose k(o) = 0. What is o?
-5, -2/3, 1
Factor 2/5*k + 1/5*k**4 - 1/5 - 2/5*k**3 + 0*k**2.
(k - 1)**3*(k + 1)/5
Let l be 1410/270 + (-6)/27. Solve -8/3 + 2*t**4 + 1/3*t**l - 4*t + 11/3*t**3 + 2/3*t**2 = 0.
-2, -1, 1
Let n(k) be the third derivative of k**7/840 + k**6/240 + k**5/240 + 10*k**2. Factor n(w).
w**2*(w + 1)**2/4
Let g be -4 - ((0 - -6) + -14). Let s(q) be the second derivative of -1/6*q**2 + 0 + 0*q**5 + 0*q**3 - 1/90*q**6 - 2*q + 1/18*q**g. Factor s(i).
-(i - 1)**2*(i + 1)**2/3
Let m(r) be the second derivative of 10*r**7/21 - 2*r**6/5 - 7*r**5/5 + r**4 + 4*r**3/3 + 17*r. Let m(q) = 0. Calculate q.
-1, -2/5, 0, 1
Let s = -5/34 - -69/238. Solve 0 + 1/7*d**4 - 2/7*d**3 + 0*d + s*d**2 = 0.
0, 1
Let i(h) be the first derivative of h**4/54 - h**2/9 - 2*h + 2. Let p(r) be the first derivative of i(r). Factor p(t).
2*(t - 1)*(t + 1)/9
Let p = 18 - 15. Let i(m) be the second derivative of 0*m**p + 0*m**2 - 1/120*m**6 + 1/80*m**5 + 1/48*m**4 + 0 - 1/168*m**7 + m. Factor i(k).
-k**2*(k - 1)*(k + 1)**2/4
What is q in 0 + 4/11*q + 46/11*q**4 + 54/11*q**3 + 14/11*q**5 + 26/11*q**2 = 0?
-1, -2/7, 0
Let t be 48/(-1168)*(-2)/3. Let n = t - -69/146. Let 1/2 + 1/2*a - 1/2*a**3 - n*a**2 = 0. Calculate a.
-1, 1
Let z(m) be the first derivative of 3/14*m**2 - 3 + 1/7*m**3 - 6/7*m. Factor z(b).
3*(b - 1)*(b + 2)/7
Find x such that -5*x**3 + 4*x**3 + x + 51*x**4 - 52*x**4 + 3*x**2 - 2 = 0.
-2, -1, 1
Let j(d) = 25*d**2 - 57*d + 37. Let b(w) = 6*w**2 - 14*w + 9. Let a(m) = -26*b(m) + 6*j(m). Factor a(c).
-2*(c - 3)*(3*c - 2)
Suppose 6*a + 9 = 3*a. Let n(d) = -2*d**4 + 4*d**3 - 3*d**2 - 3*d - 3. Let c(m) = -m**4 + m**3 - m**2 - m - 1. Let j(z) = a*c(z) + n(z). Factor j(u).
u**3*(u + 1)
Let n(m) be the third derivative of 5*m**8/48 - 2*m**7/7 - m**6/6 + 7*m**5/6 - 5*m**4/8 - 5*m**3/3 - 12*m**2. Let n(q) = 0. Calculate q.
-1, -2/7, 1
Let u(x) be the second derivative of x**7/280 - x**6/120 - x**5/40 + x**4/8 - 5*x**3/6 - 4*x. Let r(s) be the second derivative of u(s). Factor r(l).
3*(l - 1)**2*(l + 1)
Suppose 0 = -5*n - 10, n = -o - n - 2. Let i(l) be the second derivative of 0 + 1/9*l**3 - l - 1/18*l**4 + 0*l**o. What is y in i(y) = 0?
0, 1
Suppose 2*b + 8 - 6 = 0. Let s be (-260)/(-91) - (b + 3). Find j, given that -2/7 + s*j - 6/7*j**2 + 2/7*j**3 = 0.
1
Let f(j) be the first derivative of -j**4/18 + 2*j**3/9 - j**2/3 - 9*j - 6. Let x(v) be the first derivative of f(v). Factor x(h).
-2*(h - 1)**2/3
Let l(k) = -8*k**2 - 51*k - 115. Let n(y) = 4*y**2 + 26*y + 58. Let u(o) = 6*l(o) + 13*n(o). Solve u(i) = 0 for i.
-4
Let q(u) be the second derivative of -3*u**5/10 - 3*u**4/4 - u**3/2 + 2*u - 44. Factor q(n).
-3*n*(n + 1)*(2*n + 1)
Let z(i) be the first derivative of -121*i**6/30 + 33*i**5/5 - 12*i**4/5 + 4*i**3/15 - 20. Let z(h) = 0. Calculate h.
0, 2/11, 1
Let q(k) = -7*k**3 - 2*k**2 + 2*k - 1. Let p be q(1). Let v = -6 - p. What is n in 7/4*n**v + 0 - 1/2*n - 5/4*n**3 = 0?
0, 2/5, 1
Let n be 3 + 40/(-14) + 0. Let w(g) be the second derivative of 1/42*g**4 + 0 - n*g**2 - 1/35*g**5 + g + 2/21*g**3. Determine t, given that w(t) = 0.
-1, 1/2, 1
Let b = 78 + -76. Let p(w) be the first derivative of 4*w**2 + 2 + 4*w**3 + 2/5*w**5 + 2*w**4 + b*w. Let p(n) = 0. Calculate n.
-1
Let q be (34/6 + -5)/((-2)/(-9)). Let n(w) be the second derivative of 0*w**2 + 5/48*w**4 + 1/40*w**5 - 1/12*w**q - 1/24*w**6 + 0 + w. Factor n(d).
-d*(d - 1)*(d + 1)*(5*d - 2)/4
Let w(n) = 43*n**3 + 155*n**2 + 89*n + 1. Let l(u) = 21*u**3 + 78*u**2 + 45*u. Let i(h) = 11*l(h) - 6*w(h). Factor i(g).
-3*(g + 2)*(3*g + 1)**2
Let y be (3/(-26))/((-6)/(-10)). Let f = 22/13 + y. Factor f*t**3 + 7/2*t**5 + 0*t - 6*t**4 + t**2 + 0.
t**2*(t - 1)**2*(7*t + 2)/2
Suppose -2*d - d + 82 = 4*u, -2*d + 48 = -4*u. Suppose r + g - 2 = 0, d = -0*r + 4*r - 5*g. Determine f so that 2/3*f**3 + 4/3*f**2 - 4/3*f**r + 0 - 2/3*f = 0.
-1, 0, 1/2, 1
Factor -5/3*u**2 + 0 - 1/3*u - u**4 - 7/3*u**3.
-u*(u + 1)**2*(3*u + 1)/3
Let g = 16 + -13. Let l(h) be the second derivative of 1/18*h**4 - 1/3*h**2 + 0*h**g + 0 - h. What is a in l(a) = 0?
-1, 1
Find y such that -5*y**5 + 14*y**5 + y**3 + 2*y**4 - 12*y**5 = 0.
-1/3, 0, 1
Let f(b) be the first derivative of b**3/9 - b**2/2 + 2*b/3 + 37. Factor f(k).
(k - 2)*(k - 1)/3
Let h(j) be the third derivative of -j**5/60 + j**4/12 - 16*j**2. Factor h(w).
-w*(w - 2)
Let f(l) be the first derivative of l**3/6 - l**2 + 2*l + 13. Determine x, given that f(x) = 0.
2
Let i be (-4)/3 + 650/312. Solve -1/2*z**2 - z**3 + 1/4*z**5 + 0*z**4 + i*z + 1/2 = 0 for z.
-1, 1, 2
Suppose 14*v - 21*v = -28. Let j(k) be the first derivative of -v - 25/24*k**6 + 3/8*k**4 - k**2 - 11/4*k**5 + 0*k + 7/3*k**3. Determine t, given that j(t) = 0.
-2, -1, 0, 2/5
What is x in -20/19*x**3 + 40/19*x**2 + 8/19 + 0*x**4 + 2/19*x**5 - 30/19*x = 0?
-4, 1
Factor -8/3*s**2 + 4/3*s**4 + 4/3*s**3 + 0*s + 0.
4*s**2*(s - 1)*(s + 2)/3
Suppose 5*d + 1 + 2 = -c, 4*d = -2*c - 6. Factor 0*o + o**3 + o**2 + d*o - 2*o.
o*(o - 1)*(o + 2)
Let w(n) be the first derivative of -n**6/40 + 3*n**4/8 - n**3 - 2*n**2 + 3. Let r(j) be the second derivative of w(j). Factor r(a).
-3*(a - 1)**2*(a + 2)
Let t(u) be the second derivative of u**8/10080 - u**7/1890 + u**6/1080 - u**4/4 - 6*u. Let p(b) be the third derivative of t(b). Solve p(g) = 0.
0, 1
Let i(d) = 12*d**3 - 176*d**2 + 144*d - 32. Let b(t) = t**3 - 16*t**2 + 13*t - 3. Let n(p) = -32*b(p) + 3*i(p). Determine m, given that n(m) = 0.
0, 2
Let x(q) = -q**3 + q. Suppose -4*f - 11 - 5 = 0. Let r = f - -5. Let j(v) = v**4 + 4*v**3 + v**2 - 6*v. Let s(h) = r*j(h) + 6*x(h). Solve s(l) = 0.
0, 1
Let y be 1/(-1) + (-15)/(-1 + -4). Let u(m) be the second derivative of -m**y + 0 + 2*m + 1/40*m**5 - 5/24*m**4 + 2/3*m**3. What is s in u(s) = 0?
1, 2
Let v(b) be the third derivative of 2*b**7/105 + b**6/15 - b**4/3 - 2*b**3/3 + 4*b**2. Factor v