*4/138 + o**3/69 + 11*o. Factor g(j).
2*j*(j - 1)**2*(j + 1)/23
Let w = -1/55 + 62/385. Let r(m) be the second derivative of -w*m**3 - 1/14*m**4 + 0 - m - 1/70*m**5 - 1/7*m**2. Factor r(o).
-2*(o + 1)**3/7
Let g = 7 + -5. Factor -h**3 + h**g + 51 - 51.
-h**2*(h - 1)
Suppose -4*z = -2*q + 58, 5*z - 6*q + 74 = -4*q. Let a = 0 - z. Determine y so that -3 + a*y**2 + 3 - 17*y**2 = 0.
0
Let m(c) = 3*c**5 + 9*c**4 - 12*c**2 - 3*c - 3. Let z(g) = -6*g**5 - 18*g**4 - g**3 + 23*g**2 + 7*g + 6. Let j(q) = -11*m(q) - 6*z(q). Solve j(y) = 0 for y.
-1, 1
Let n = 46/5 + -9. Find a, given that -n*a + 0 + 4/5*a**2 = 0.
0, 1/4
Suppose -10 = -4*i - n, 4*i = 4*n + n - 2. Find k, given that 21*k**3 + 3*k + k - 20*k**i - 7*k**5 + 0*k + 2*k**4 = 0.
-2, 0, 2/7, 1
Let q(f) = 3*f**2 - 7*f - 11. Let h(p) = -p**2 + p + 1. Let l(w) = h(w) - q(w). Factor l(a).
-4*(a - 3)*(a + 1)
Let m = 3 - 6. Let f = m - -5. Determine c so that -c**3 + 2*c**f + 4*c**2 - 4*c - c**3 = 0.
0, 1, 2
Let z(p) = -7*p + 31. Let u be z(4). Factor 2/7*o**4 + 0*o**2 + 0*o - 2/7*o**5 + 0*o**u + 0.
-2*o**4*(o - 1)/7
Suppose 12*o + o**2 - 2*o**2 + 17*o - 23*o = 0. Calculate o.
0, 6
Let q(m) = -m**3 + 22*m**2 - 29*m + 8. Let z(i) = i**3 - 33*i**2 + 44*i - 12. Let f(a) = -8*q(a) - 5*z(a). Factor f(w).
(w - 2)*(w - 1)*(3*w - 2)
Let b(j) be the third derivative of j**7/735 + j**6/210 - j**4/42 - j**3/21 + 5*j**2. Determine x so that b(x) = 0.
-1, 1
Factor 3*b - 4*b**2 + b**2 + 0*b**2.
-3*b*(b - 1)
Let m(a) be the second derivative of -a**6/270 - a**5/180 + a**4/36 + a**3/3 + 2*a. Let t(r) be the second derivative of m(r). Determine n, given that t(n) = 0.
-1, 1/2
Factor 2/5*o**5 + 0 + 0*o - 2/5*o**3 + 0*o**4 + 0*o**2.
2*o**3*(o - 1)*(o + 1)/5
Let o(n) be the second derivative of -n**7/1260 + n**6/360 - 5*n**4/12 + 5*n. Let w(u) be the third derivative of o(u). Find c such that w(c) = 0.
0, 1
Let d = 23/15 - 1/30. Let b(y) be the first derivative of 0*y + 4/5*y**5 - 1/2*y**2 - 3 + 4/3*y**3 - d*y**4 - 1/6*y**6. Factor b(x).
-x*(x - 1)**4
Find t, given that -4 - t + 3*t - 29*t**5 + 38*t**3 + 50*t**2 - 46*t**4 - 11*t**5 = 0.
-1, -2/5, 1/4, 1
Let s(t) be the third derivative of -t**7/30 + t**6/60 + 7*t**5/60 - t**4/12 - 7*t**2. Find r such that s(r) = 0.
-1, 0, 2/7, 1
Let a be 2/(-9) - (-932)/144. Let l(f) be the second derivative of -4*f**3 + 6*f**2 + 0 + 21/10*f**6 - a*f**4 + 6/5*f**5 - 3*f. What is t in l(t) = 0?
-1, -2/3, 2/7, 1
Suppose -4*b - 244 + 252 = 0. Determine f, given that 4/5*f**4 + 0*f**b + 0*f + 2/5*f**5 + 2/5*f**3 + 0 = 0.
-1, 0
Suppose -13 = 6*v - 25. Factor 2/7*k**3 - 2/7*k + 2/7 - 2/7*k**v.
2*(k - 1)**2*(k + 1)/7
Let w(d) be the third derivative of -d**6/480 + d**5/120 - d**4/96 + 7*d**2. Find m such that w(m) = 0.
0, 1
Suppose -4 = 2*o - 5*a, -o + 0*a - 2*a + 7 = 0. Let z be ((-9)/(-6))/((-15)/(-20)). Factor -2*m**2 + m**z + 2*m**o - m**2.
2*m**2*(m - 1)
Let l(h) be the third derivative of 0 - 7*h**2 - 4/105*h**7 - 3/20*h**6 + 3/4*h**4 + 2/3*h**3 + 1/15*h**5 + 0*h. Find y such that l(y) = 0.
-2, -1, -1/4, 1
Find o, given that -2*o**4 + 5*o**3 - o**3 + 4*o + 3*o**4 + 6*o**2 + 2 - 1 = 0.
-1
Let o(w) be the first derivative of -w**6/6 + 3*w**5/5 - w**4/2 - 2*w**3/3 + 3*w**2/2 - w - 25. What is y in o(y) = 0?
-1, 1
Factor 1/7*z**2 - 1/7 + 1/7*z - 1/7*z**3.
-(z - 1)**2*(z + 1)/7
Let c(l) be the second derivative of l**6/2 + 5*l**5/4 + 5*l**4/12 - 5*l**3/6 + 4*l. Factor c(g).
5*g*(g + 1)**2*(3*g - 1)
Let l(m) be the second derivative of -1/21*m**3 - 2/7*m**2 + 0 + 1/21*m**4 - 3*m + 1/70*m**5. Factor l(k).
2*(k - 1)*(k + 1)*(k + 2)/7
Let g(l) be the second derivative of -l**8/5040 - 2*l**3/3 + 4*l. Let p(t) be the second derivative of g(t). Solve p(n) = 0.
0
Let s be 4/(8/6) + -1. Let g(i) = -4*i**2 + i + 2. Let f(h) be the second derivative of -h**4/4 + h**3/6 + h**2 - 2*h. Let t(d) = s*g(d) - 3*f(d). Factor t(a).
(a - 2)*(a + 1)
Let x(q) be the first derivative of -q**6/51 + 2*q**5/17 - 7*q**4/34 - 2*q**3/51 + 8*q**2/17 - 8*q/17 - 18. Determine t so that x(t) = 0.
-1, 1, 2
Let w(l) be the first derivative of 1331*l**6/3 - 19844*l**5/5 + 7810*l**4 + 21136*l**3/3 + 2048*l**2 + 256*l - 40. Factor w(j).
2*(j - 4)**2*(11*j + 2)**3
Factor 1/2 + 1/2*u - u**2 + 1/2*u**4 - u**3 + 1/2*u**5.
(u - 1)**2*(u + 1)**3/2
Factor -1 + 1/4*t**2 + 0*t.
(t - 2)*(t + 2)/4
Suppose -20 = 5*h, -7*i + 2*i + 4*h - 44 = 0. Let x be 10/(-60) - 2/i. Factor x + 4/3*q - 2/3*q**2.
-2*q*(q - 2)/3
Let p(r) = -r + 19. Let d be p(8). Let t(k) = 2*k**2 - 22*k. Let l be t(d). What is x in 3/5*x**4 + 3/5*x**3 - 3/5*x**5 + l + 0*x - 3/5*x**2 = 0?
-1, 0, 1
Let v(s) be the third derivative of s**7/280 - s**6/60 + s**3 + 5*s**2. Let q(b) be the first derivative of v(b). Factor q(w).
3*w**2*(w - 2)
Let x(f) be the second derivative of -f**7/21 + 2*f**6/5 - 13*f**5/10 + 2*f**4 - 4*f**3/3 + 5*f. Determine i so that x(i) = 0.
0, 1, 2
Let m be (-1 + 3)/(2/4). Let w be (m/(-14))/(15/(-105)). Suppose -2 - 1/2*k**w - 2*k = 0. What is k?
-2
Factor 1/3 + 4/3*p**2 - 10/9*p + 1/9*p**4 - 2/3*p**3.
(p - 3)*(p - 1)**3/9
Let x be 248/10*(-5)/(-2). Let g = 436/7 - x. Find j such that -6/7*j**4 - 6/7*j + g*j**5 + 4/7*j**2 + 2/7 + 4/7*j**3 = 0.
-1, 1
Determine v so that -36/5*v**4 + 0*v + 12/5*v**3 + 0 + 3*v**5 + 0*v**2 = 0.
0, 2/5, 2
Let s(q) be the first derivative of 0*q**2 - 1/12*q**4 + q - 1 + 1/3*q**3. Let i(g) be the first derivative of s(g). Factor i(u).
-u*(u - 2)
Let q(u) be the third derivative of 0 + 0*u**3 - 9*u**2 + 0*u**4 + 1/70*u**7 + 1/20*u**6 + 1/20*u**5 + 0*u. Solve q(v) = 0.
-1, 0
Let w be 0/(((-4)/(-4))/(-1)). Let b(m) be the third derivative of m**2 + 1/24*m**4 + w - 1/3*m**3 + 1/60*m**5 + 0*m. Solve b(j) = 0 for j.
-2, 1
Let l(t) be the first derivative of t**6/24 - t**4/4 - t**3/6 + 3*t**2/8 + t/2 - 2. Solve l(u) = 0 for u.
-1, 1, 2
Let z(i) be the first derivative of 1/16*i**4 - 3 + 0*i**3 + 0*i**2 + 1/20*i**5 + 0*i. Factor z(n).
n**3*(n + 1)/4
Let m(z) = -6*z**4 - 6*z**3 - 2*z**2 - 2*z. Let n(i) = 11*i**4 + 11*i**3 + 3*i**2 + 3*i. Let k = 10 + -6. Let h(j) = k*n(j) + 7*m(j). Factor h(l).
2*l*(l - 1)*(l + 1)**2
Let s(m) be the second derivative of -7*m**5/5 + 5*m**4/3 + 4*m**3/3 - 12*m. Factor s(r).
-4*r*(r - 1)*(7*r + 2)
Let v(b) be the second derivative of b**5/5 + b**4/6 - 2*b**3/3 - b**2 - 6*b. Find f such that v(f) = 0.
-1, -1/2, 1
Let q(h) be the second derivative of h**4/36 - h**3/9 - 36*h. Determine s, given that q(s) = 0.
0, 2
Let y(v) = v**4 - 4*v**3 + 8*v**2 - 5*v. Let d(o) = -2*o**4 + 8*o**3 - 17*o**2 + 11*o. Let c(q) = 3*d(q) + 7*y(q). Factor c(n).
n*(n - 2)*(n - 1)**2
Let k(q) be the first derivative of -q**5/15 - q**4/12 + 5*q**3/9 - q**2/2 + 10. Determine w so that k(w) = 0.
-3, 0, 1
Let y(s) be the third derivative of -s**7/630 + s**6/120 - s**5/180 - s**4/24 + s**3/9 + 6*s**2. Let y(b) = 0. Calculate b.
-1, 1, 2
Let v(x) be the third derivative of x**7/70 + 3*x**6/40 + x**5/10 + 10*x**2. Find g, given that v(g) = 0.
-2, -1, 0
Let x(y) = -y**2 - 6*y + 3. Let u be x(-6). Suppose -2*f + u + 5 = 0. Let 2*k**4 + 32*k**2 - 8*k**3 - 2*k**3 - 14*k**2 - 14*k + f = 0. Calculate k.
1, 2
Let 3*w**3 + 13*w**2 + 40/3*w + 4 = 0. What is w?
-3, -2/3
Let c(f) be the first derivative of -5*f**4/4 + 10*f**3 - 30*f**2 + 40*f + 32. Factor c(p).
-5*(p - 2)**3
Let h = 88 - 88. Solve h*w + 0 + 2*w**3 - 4/7*w**2 = 0.
0, 2/7
Let v(y) be the second derivative of -5*y - 1/10*y**2 + 1/60*y**4 + 0*y**3 + 0. Let v(b) = 0. Calculate b.
-1, 1
Let g(l) be the third derivative of l**7/105 - l**6/30 - 2*l**5/15 + 2*l**4/3 + 16*l**2. Find k, given that g(k) = 0.
-2, 0, 2
Let g(n) = -7*n**2 + 4*n. Let z(k) = 4*k**2 - 2*k. Let q(i) = -3*g(i) - 5*z(i). Factor q(c).
c*(c - 2)
Suppose -m = -3*u + 3*m + 4, 2*u + 1 = -m. Factor 0*w**3 + 0*w + 0 - 2/3*w**5 + 0*w**2 + u*w**4.
-2*w**5/3
Let z(b) = -b**5 - 5*b**3 - 7*b**2 + 6*b + 4. Let j(a) = -8*a**5 - 34*a**3 - 50*a**2 + 42*a + 28. Let x(r) = -6*j(r) + 44*z(r). Factor x(t).
4*(t - 2)*(t - 1)*(t + 1)**3
Let g(q) be the third derivative of 0 - 6*q**2 + 0*q + 2/9*q**3 + 1/36*q**4 - 1/90*q**5. Find u, given that g(u) = 0.
-1, 2
Let p(b) be the third derivative of b**7/1890 - b**6/360 + b**5/540 + b**4/72 - b**3/27 - 14*b**2. Suppose p(v) = 0. What is v?
-1, 1, 2
Let h = -9 - -28/3. Let l = 56 + -166/3. Factor 1