e of -l**8/13440 - l**7/1680 + l**5/60 - l**4/6 - 3*l. Let x(v) be the third derivative of t(v). Solve x(m) = 0.
-2, 1
Let h(m) be the third derivative of -2*m**7/105 + 2*m**6/15 - m**5/3 + m**4/3 - 11*m**2. Factor h(c).
-4*c*(c - 2)*(c - 1)**2
Let r = -7 + 9. Suppose 2*n**r + 6 - n**2 - 2*n**2 - 5 = 0. Calculate n.
-1, 1
Let c = 52/153 - 2/17. Suppose 0 - c*z**5 - 2/3*z**3 - 2/3*z**4 - 2/9*z**2 + 0*z = 0. Calculate z.
-1, 0
Let r(u) = u**2. Let o(l) = 3*l**3 - 3*l**2 - 24*l - 36. Let i(y) = -o(y) - 6*r(y). Solve i(f) = 0.
-2, 3
Suppose 28*c - 9*c = 38. Factor -5/2*d**c - 2 + 4*d + 1/2*d**3.
(d - 2)**2*(d - 1)/2
Let a(p) be the first derivative of p**6/1620 - p**5/540 + p**3 + 3. Let w(g) be the third derivative of a(g). Factor w(u).
2*u*(u - 1)/9
Suppose 2*h = 31 - 13. Factor -12*z + h*z + z**3 + 5*z**3 - 3*z**5 + 0*z.
-3*z*(z - 1)**2*(z + 1)**2
Factor 1/2*f**4 + 1/2*f**2 - f**3 + 0 + 0*f.
f**2*(f - 1)**2/2
Let b = -146 - -440/3. Factor b*g**3 + 2/3*g**2 + 0 + 0*g.
2*g**2*(g + 1)/3
Let r(o) be the first derivative of -o**5/50 - o**4/40 + o**3/30 + o**2/20 - 4. Factor r(q).
-q*(q - 1)*(q + 1)**2/10
Factor 1/2*u + 1/4*u**2 - 1/2*u**3 + 0 - 1/4*u**4.
-u*(u - 1)*(u + 1)*(u + 2)/4
Let x be (14/21)/(1 + 2 + -2). Let t(n) be the first derivative of 0*n + x*n**3 + 0*n**2 + 3. Determine f so that t(f) = 0.
0
Let x(f) = -9*f**5 - 12*f**4 + 3*f**3 + 10*f**2. Let k(o) = o**2. Let b(p) = -4*k(p) + x(p). Factor b(r).
-3*r**2*(r + 1)**2*(3*r - 2)
Let t(u) be the second derivative of -u**4/12 - u**3/3 - u**2/2 - 5*u. Suppose t(o) = 0. What is o?
-1
Let x = 9 - 4. Let o = -5 + x. Factor 3*a + 3*a**5 - 6*a**4 + 4*a**2 - 6*a**5 + 2*a**2 + o*a.
-3*a*(a - 1)*(a + 1)**3
Let r(t) be the second derivative of 5/24*t**4 + 0 - 2/3*t**3 - t**2 + 2*t. Let r(d) = 0. What is d?
-2/5, 2
Let d = 8 - 14. Let r be (d/(-4))/(168/32). Suppose 0*j + 4/7*j**3 + 2/7*j**2 + 0 + r*j**4 = 0. Calculate j.
-1, 0
Factor 1/5*v**4 - 1/5*v - 3/5*v**3 + 0 + 3/5*v**2.
v*(v - 1)**3/5
Let u(j) be the first derivative of 2*j**5/5 - 2*j**4 + 4*j**3/3 + 4*j**2 - 6*j - 37. Let u(x) = 0. Calculate x.
-1, 1, 3
Let d be 4/(-18) - 368/(-36). Let h = -7 + d. Factor 2/3*o**4 + 2/3 + 4*o**2 - 8/3*o**h - 8/3*o.
2*(o - 1)**4/3
Suppose 3*k + k = 16. Let z = -5 - -9. Determine u, given that -1 + 0*u**k - 2*u**4 + 2*u - 2*u**3 + 3*u**z = 0.
-1, 1
Find f, given that -105 + 49*f - 9*f + 4*f**2 + f**2 + 45 - 5*f**3 = 0.
-3, 2
Let t(q) = 4*q**3 - 4*q - 6. Let a be (12/2)/(2/2). Let n(x) = x**3 - x - 1. Let v(w) = a*n(w) - t(w). Find d, given that v(d) = 0.
-1, 0, 1
Let q(s) be the first derivative of -s**3/3 - 24. Let q(d) = 0. Calculate d.
0
Let g be 14/27*(-5)/((-140)/24). Determine u, given that -g - 2/9*u + 2/9*u**2 = 0.
-1, 2
Let k be 1/(-7)*890/(-5). Let i = -1944/77 + k. Factor -4/11*h**2 + i*h**4 + 4/11*h**3 - 2/11*h**5 - 2/11*h + 2/11.
-2*(h - 1)**3*(h + 1)**2/11
Let p(g) = 2*g - 3. Suppose 5*o - 7 = 8. Let c be p(o). Factor 6*y + 3*y**2 - y**2 + c + y**2.
3*(y + 1)**2
Let l(s) be the second derivative of 3*s**5/20 - 3*s**4/4 + 3*s**3/2 - 3*s**2/2 - 30*s. Find w such that l(w) = 0.
1
Suppose -5 - 17 = 2*x. Let r = 13 + x. Factor -2/9*v**r + 0 - 4/9*v.
-2*v*(v + 2)/9
Suppose 0 = -3*s + 5*b + 29, 3*s + 5*b - 21 = 8*b. Suppose 4/5*o - 2/5*o**5 + 6/5*o**4 + 0 - 2/5*o**s - 6/5*o**2 = 0. Calculate o.
-1, 0, 1, 2
Factor 4*g**3 + 4*g**4 + 30*g**5 + 2 - 4 - 29*g**5 - g - 2*g**2 - 4*g.
(g - 1)*(g + 1)**3*(g + 2)
Let n(t) = -t**2 - 5*t - 2. Let x be n(-3). Suppose 0 + x = 2*k. Determine r so that -r**3 + 0*r**4 - 3*r**k + r**4 + r + 2*r**2 = 0.
-1, 0, 1
Let z(r) be the second derivative of r**6/3 + r**5/5 - 5*r**4/6 - 2*r**3/3 + 5*r. Suppose z(c) = 0. What is c?
-1, -2/5, 0, 1
Let d(m) be the third derivative of m**8/1848 + m**7/1155 - m**6/132 - m**5/66 + m**4/33 + 4*m**3/33 - m**2 + 35. Suppose d(j) = 0. What is j?
-2, -1, 1, 2
Let u be (-13)/((-273)/36) + (-2)/(-7). Determine j so that -8/11 + 0*j - 2/11*j**3 + 6/11*j**u = 0.
-1, 2
Let v(h) = -h**2 + 12*h. Let d be v(12). Let o(j) be the second derivative of d*j**4 + 1/84*j**7 + 0*j**5 + 0*j**3 + 0*j**2 + 0 + j - 1/60*j**6. Factor o(x).
x**4*(x - 1)/2
Let c(w) be the second derivative of -1/40*w**5 - 1/60*w**6 + 0*w**2 + 0*w**4 + 0*w**3 + 3*w + 0. Solve c(q) = 0.
-1, 0
Suppose 6*b - 9 - 3 = 0. Find r such that -2/7 - 6/7*r**b - 2/7*r**3 - 6/7*r = 0.
-1
Let 0 + 2/3*g**2 - 1/3*g**3 - 1/3*g = 0. What is g?
0, 1
Let w be (-3)/(1*(1 - 2)). Factor -2*o**4 - 4*o**w - 3*o - o + 4*o.
-2*o**3*(o + 2)
Let a = -6 + 9. Suppose -z - 7 = -a*j, -10 + 26 = 4*j. Find v, given that -3 - 4*v**2 + z + 0 + 2*v**4 = 0.
-1, 1
Let k be (-3 + 14/4)*4. Let o(y) be the first derivative of 8/5*y**5 - 71/14*y**4 - 4/7*y**k + 0*y + 64/21*y**3 + 1. Solve o(i) = 0.
0, 1/4, 2/7, 2
Let l be 0/(6 + -1 + -3). Let m be 2 + -2 + (l - -4). Factor -14/3*j**m - 32/3*j**3 + 0 - 22/3*j**2 - 4/3*j.
-2*j*(j + 1)**2*(7*j + 2)/3
Let n(f) be the second derivative of -f - 1/4*f**3 + 1/8*f**4 + 0 + 3/40*f**5 - 3/4*f**2. Find v such that n(v) = 0.
-1, 1
Let o(i) be the first derivative of 5/3*i**2 + 7 + 4/3*i - 14/9*i**3. Find y such that o(y) = 0.
-2/7, 1
Suppose -2/11*r**5 + 4/11*r**2 - 10/11*r**4 - 12/11*r**3 + 14/11*r + 6/11 = 0. Calculate r.
-3, -1, 1
Let a(g) = g**4 - g**2 + g - 1. Let q(d) = -6*d**5 - 3*d**4 + 10*d**3 + 3*d**2 - 9*d + 5. Let b(s) = -5*a(s) - q(s). Let b(h) = 0. What is h?
-1, -2/3, 0, 1
Let t(m) be the first derivative of -m**6/8 - 9*m**5/10 - 9*m**4/4 - 2*m**3 - 7. Find s such that t(s) = 0.
-2, 0
Factor 3*h**2 + 3/2 + 15/4*h + 3/4*h**3.
3*(h + 1)**2*(h + 2)/4
Let y = -13 - -16. Factor -2*z - 1 + y*z**2 + z**2 - 1 + 4*z.
2*(z + 1)*(2*z - 1)
Let m(g) = 3*g - 5. Let s be m(5). Factor 5 + 14*i**3 - 4*i - 5 - s*i**2.
2*i*(i - 1)*(7*i + 2)
Factor 0 + 2/3*o + 1/3*o**2.
o*(o + 2)/3
Let k(m) be the second derivative of m**9/4032 - m**8/1120 + m**7/1120 + m**3/3 + 2*m. Let z(d) be the second derivative of k(d). Let z(p) = 0. What is p?
0, 1
Suppose 7 = -d - 3*v, -3*d = v - 4*v - 15. Factor 0 + 4/7*k - 10/7*k**d + 6/7*k**3.
2*k*(k - 1)*(3*k - 2)/7
Solve 90/7*k**2 - 48/7*k + 8/7 - 50/7*k**3 = 0.
2/5, 1
Let u(g) = -2*g**5 - 6*g**4 - 6*g**3 + 17*g**2 + 3*g - 1. Let y(s) = -s**5 + s**2 + 1. Let x(q) = -u(q) + 5*y(q). Solve x(l) = 0.
-1, 1, 2
Factor 5/2*k**4 - 5/3*k**3 - 5/6*k**5 + 0*k**2 + 0*k + 0.
-5*k**3*(k - 2)*(k - 1)/6
Let z(l) = l**3 - l**2 - 2*l + 2. Let i be z(2). Factor 3*f**i - 8*f**2 + 6*f**2.
f**2
Let p(g) be the third derivative of g**8/480 - g**7/252 - 2*g**6/45 - g**5/15 - g**4/4 - 3*g**2. Let z(j) be the second derivative of p(j). Factor z(x).
2*(x - 2)*(x + 1)*(7*x + 2)
Let j(l) be the third derivative of 3*l**7/70 + l**6/60 - 6*l**2. Determine i so that j(i) = 0.
-2/9, 0
Let q be (((-2)/4)/1)/(20/(-60)). Determine r so that -2*r - 1/2*r**2 - q = 0.
-3, -1
Factor -o**3 + 5*o - 5*o**3 - 4*o**3 + 5*o**2 + 0*o**2.
-5*o*(o - 1)*(2*o + 1)
Let x(v) be the third derivative of v**7/4200 - v**6/1200 - 7*v**4/24 - 5*v**2. Let p(s) be the second derivative of x(s). Factor p(q).
3*q*(q - 1)/5
Suppose -v - 3 = -2*v. Let o be 1 - -3 - (3 - 2). Factor n**2 + 6*n - 9*n**o - n**2 + v*n**2.
-3*n*(n - 1)*(3*n + 2)
Let r(l) be the third derivative of l**8/336 + l**7/70 + l**6/40 + l**5/60 + 3*l**2. Factor r(z).
z**2*(z + 1)**3
Let n be (-1 + (-9)/(-6))/(7/16). Factor -n*v - 2/7*v**3 + 0 + 8/7*v**2.
-2*v*(v - 2)**2/7
Suppose 3*f - 212 = -206. Let 9/4*u**f - 1/4*u**3 - 27/4*u + 27/4 = 0. What is u?
3
Let w = -2/215 + 649/430. Factor -w*s**3 - 9/4*s**2 + 3/4*s**4 - 3 + 6*s.
3*(s - 2)*(s - 1)**2*(s + 2)/4
Suppose 7 = 6*i - 5. Find h, given that -65*h**3 - 49*h**3 + 8 + 24*h - 82*h**i + 34*h**4 + 90*h**5 + 40*h**4 = 0.
-1, -2/9, 2/5, 1
Let m(q) = -q. Let t(g) = 12*g**2 - 13*g - 5. Let d(k) = 6*m(k) - 3*t(k). Solve d(l) = 0 for l.
-1/3, 5/4
Suppose 15*o - 10 = 2*l + 17*o, 0 = -4*l - 2*o - 10. Let r(v) be the first derivative of -2 - 1/5*v**2 - 2/15*v**3 + l*v. Factor r(k).
-2*k*(k + 1)/5
Let -3/2*k - 3*k**2 - 3/4*k**4 - 5/2*k**3 - 1/4 = 0. Calculate k.
-1, -1/3
Suppose k + 2*k - 2*k - 7*k**2 + 6*k**2 = 0. Calculate k.
0, 1
Factor -40/7*q**3 + 4/7*q**4 + 144/7*q**2 + 108/7 - 216/7*q.
4*(q - 3)**3*(q - 1)/7
Factor 8*c + c**3 - 3*c**3 + 6*c**3 - 68*c**2 + 80*c**2.
4*c*(c + 1)*(c + 2)
Let 36 - 146*f + 184*f**2 