5*x**3 + 27/5 = 0.
1, 3
Let f(n) be the second derivative of 3*n**5/20 - n**4/4 - n**3/2 + 3*n**2/2 - 37*n. Factor f(y).
3*(y - 1)**2*(y + 1)
Let f(l) be the second derivative of -l**6/1980 - l**3/6 - l. Let h(i) be the second derivative of f(i). Factor h(p).
-2*p**2/11
Let d(p) be the second derivative of -p**7/168 - p**6/120 + p**5/80 + p**4/48 - 11*p. Factor d(k).
-k**2*(k - 1)*(k + 1)**2/4
Let u be (-816)/(-14) - 6/21. Let t = 294/5 - u. Let -2/5*x**2 + 6/5*x - t = 0. Calculate x.
1, 2
Suppose 0 = -0*t - 5*t + 20. Let z(d) = -3*d**3 - 4*d**2 + 9*d + 2. Let x(q) = 2*q**3 + 4*q**2 - 8*q - 1. Let s(g) = t*x(g) + 3*z(g). Factor s(c).
-(c - 2)*(c - 1)**2
Let s = 94/345 + -11/46. Let a(p) be the third derivative of 0*p + 1/21*p**7 + p**2 - 1/6*p**5 - 1/6*p**4 + 0 + 0*p**3 + s*p**6. Find z, given that a(z) = 0.
-1, -2/5, 0, 1
Let p be -1 + 2 + 1/(-1). Suppose p + 2 = t. Solve -4/5*g**3 - t*g**4 + 0*g**2 + 0*g + 0 = 0 for g.
-2/5, 0
Factor -4 + x**2 + 1/2*x**3 - 2*x.
(x - 2)*(x + 2)**2/2
Let g(a) be the third derivative of -a**11/332640 + a**10/120960 - a**9/241920 + a**5/60 - 4*a**2. Let s(t) be the third derivative of g(t). Factor s(v).
-v**3*(v - 1)*(4*v - 1)/4
Let j(y) be the third derivative of -y**8/2240 - y**7/840 + y**4/8 - 3*y**2. Let b(u) be the second derivative of j(u). Suppose b(x) = 0. Calculate x.
-1, 0
Let z(h) be the first derivative of h**6/90 + h**5/60 + 5*h + 6. Let a(k) be the first derivative of z(k). Suppose a(s) = 0. What is s?
-1, 0
Suppose 4*l + 10 + 2/5*l**2 = 0. Calculate l.
-5
Let t(o) = -6 + 20*o**3 + 3*o**2 - 2*o**2 + 2*o + 6*o**2. Let l(s) = 20*s**3 + 8*s**2 + 2*s - 5. Let i(m) = -6*l(m) + 5*t(m). Factor i(y).
-y*(4*y + 1)*(5*y + 2)
Let m = -1468/7 + 210. Let l = -5/34 - -103/238. Suppose -l*h**2 - m*h + 0 = 0. What is h?
-1, 0
Let j(g) = -g**4 + g**3 + g**2 + g + 1. Let z(m) = 2*m**4 - 2*m**3 + 3*m**2 + 3*m + 3. Let y(v) = 3*j(v) - z(v). Determine c, given that y(c) = 0.
0, 1
Let p(q) be the third derivative of q**6/24 + q**5/6 - 14*q**2. Factor p(c).
5*c**2*(c + 2)
Let j = -50/9 - -52/9. Let r(v) be the second derivative of 1/3*v**2 + 0*v**4 - j*v**3 - 1/45*v**6 + 1/15*v**5 - 2*v + 0. Factor r(m).
-2*(m - 1)**3*(m + 1)/3
Suppose -5*i + 4*b - 135 = -153, 2*i + 5*b + 6 = 0. Factor -4/9*f + 2/9*f**i + 0.
2*f*(f - 2)/9
Let d(h) be the third derivative of -h**7/1260 + h**6/216 - h**5/90 + h**4/8 + 3*h**2. Let s(z) be the second derivative of d(z). Factor s(f).
-2*(f - 1)*(3*f - 2)/3
Let v(k) be the second derivative of -3*k**5/20 - k**4/4 + 3*k**2/2 + 5*k. Let j(d) be the first derivative of v(d). Suppose j(p) = 0. Calculate p.
-2/3, 0
Let x(v) = v - 4. Let h be x(6). Let k(g) be the first derivative of 1/3*g**3 - 1/3*g**4 + 0*g + h + 1/6*g**2. Determine d so that k(d) = 0.
-1/4, 0, 1
Let w(i) be the third derivative of i**7/15120 - i**6/4320 - i**4/6 - i**2. Let c(q) be the second derivative of w(q). Factor c(k).
k*(k - 1)/6
Let w = -82 - -84. Let a(l) be the first derivative of -l**w + 0*l**3 + 3 + 0*l + 1/2*l**4. What is p in a(p) = 0?
-1, 0, 1
Let p(f) = -f**3 - 8*f**2 + 3. Let m be p(-8). Solve -14*a + 14*a + 3*a**4 - m*a**2 = 0.
-1, 0, 1
Let r be (-2*1)/((-10)/12) + -2. Let x(d) be the first derivative of -1/5*d**4 - 2 + 2/5*d**2 - r*d + 2/25*d**5 + 0*d**3. Let x(m) = 0. What is m?
-1, 1
Let i = 263/798 - -1/266. Factor -1/3 + i*g**2 + 0*g.
(g - 1)*(g + 1)/3
Let s be (-3 + (-87)/27)/((-5)/15). Suppose 4/3 + s*d**2 - 10*d = 0. What is d?
1/4, 2/7
Let k(f) be the first derivative of 0*f**3 + 1/210*f**5 + 1/42*f**4 + 1 + 0*f + f**2. Let j(h) be the second derivative of k(h). Factor j(v).
2*v*(v + 2)/7
Let u(i) be the first derivative of -2/15*i**5 - 1/3*i**4 + 2/3*i**2 + 2/3*i + 0*i**3 - 2. What is r in u(r) = 0?
-1, 1
Let y(l) be the first derivative of -l**7/105 + l**6/15 - l**5/6 + l**4/6 + l**2 + 2. Let i(h) be the second derivative of y(h). Factor i(a).
-2*a*(a - 2)*(a - 1)**2
Let f(s) be the second derivative of -s**4/18 - 2*s**3/9 - 2*s. Solve f(g) = 0 for g.
-2, 0
Let h(u) = -u**3 + 3*u**2 + 3*u + 4. Let j be h(4). Factor j*b**2 - 1/4*b**3 + 1/4*b + 0.
-b*(b - 1)*(b + 1)/4
Let q = 32 - 30. Let o(z) be the second derivative of 1/12*z**4 + 0 + 1/6*z**3 + 3*z - z**q. Find u, given that o(u) = 0.
-2, 1
Let k(d) be the third derivative of -d**5/80 - 5*d**4/96 - d**3/12 + d**2. Factor k(x).
-(x + 1)*(3*x + 2)/4
Let p(a) be the second derivative of -a**4/36 - a**3/6 - a**2/3 + 2*a. Factor p(x).
-(x + 1)*(x + 2)/3
Factor -11*f + f**3 + 8*f + 2*f**3 - 6 + 6*f**2.
3*(f - 1)*(f + 1)*(f + 2)
Let i = -160 + 164. What is t in -4/5*t**i + 4/5*t**2 + 0 + 0*t + 14/5*t**5 - 14/5*t**3 = 0?
-1, 0, 2/7, 1
Let m(w) be the second derivative of -w**7/21 - w**6/5 - 3*w**5/10 - w**4/6 + 18*w. Factor m(g).
-2*g**2*(g + 1)**3
Let s(m) be the first derivative of m**4 + 16*m**3/3 + 8*m**2 - 4. What is o in s(o) = 0?
-2, 0
Suppose 5*y = -8*y + 65. Let b(a) be the third derivative of 0*a + 0*a**4 + 1/270*a**y - 2*a**2 + 0 + 0*a**3. Factor b(l).
2*l**2/9
Let x be 8*(245/65 - 4) + 2. What is f in -x*f**5 + 0 + 8/13*f**2 - 2/13*f - 12/13*f**3 + 8/13*f**4 = 0?
0, 1
Let w(o) be the first derivative of -o**6/15 + o**5/4 - o**4/12 - o**3/3 + 3*o - 4. Let m(j) be the first derivative of w(j). Factor m(n).
-n*(n - 2)*(n - 1)*(2*n + 1)
Let j(s) be the first derivative of s**6/1260 + s**5/70 + 3*s**4/28 + 5*s**3/3 + 3. Let x(t) be the third derivative of j(t). Find f, given that x(f) = 0.
-3
Let m(x) = -x**3 + 5*x**2 + 5*x - 7. Let i be m(5). Let w be 7/30 + 3/i. Factor 2/5*b + 0*b**2 - w*b**3 + 0.
-2*b*(b - 1)*(b + 1)/5
Let l be (-1)/20 - (203/(-28) + 7). Factor l*v + 0 - 1/5*v**2.
-v*(v - 1)/5
Let i = 2/15 - 1/20. Let g(c) be the third derivative of 2/45*c**5 + 0 + 2/27*c**3 - i*c**4 - 1/108*c**6 - 3*c**2 + 0*c. Factor g(d).
-2*(d - 1)**2*(5*d - 2)/9
Let u(m) be the first derivative of 2*m**3/27 + 16*m**2/9 + 128*m/9 + 27. Find x, given that u(x) = 0.
-8
Suppose l - 8 + 3 = 0. Suppose m - 6*m = -10. Factor -m*q + l*q + 2*q**5 - 4*q**3 - q.
2*q*(q - 1)**2*(q + 1)**2
Let r(u) be the second derivative of u + 0 + 5/21*u**3 + 1/14*u**4 + 2/7*u**2. Factor r(o).
2*(o + 1)*(3*o + 2)/7
Let v(y) = y**5 - y**4 - 18*y**3 + 8*y**2 - 8*y. Let g(u) = 6*u**3 - 3*u**2 + 3*u. Let s(h) = 8*g(h) + 3*v(h). What is n in s(n) = 0?
-1, 0, 2
Let l(r) be the third derivative of r**6/180 + r**5/30 + r**4/12 + r**3/6 - 3*r**2. Let k(c) be the first derivative of l(c). Factor k(q).
2*(q + 1)**2
Factor 1 + 138*y**2 - 1 - 133*y**2 + 15*y.
5*y*(y + 3)
Let w(s) be the first derivative of s**6/16 + 3*s**5/20 - 3*s**4/32 - s**3/4 - 18. Let w(c) = 0. Calculate c.
-2, -1, 0, 1
Let f(n) be the second derivative of n**4/20 + n**3/5 - 9*n**2/10 - 27*n. Determine s, given that f(s) = 0.
-3, 1
Let a(s) be the third derivative of -s**8/112 + s**7/70 + s**6/40 - s**5/20 + 2*s**2 + 2. Factor a(d).
-3*d**2*(d - 1)**2*(d + 1)
Let r(v) be the second derivative of 0 + 0*v**2 - 3/20*v**5 - 11/12*v**6 + 2/3*v**3 + 25/84*v**7 + 4*v + 7/6*v**4. Let r(s) = 0. What is s?
-2/5, 0, 1, 2
Let u be 4*44/80 - (-2)/(-10). Solve -1/3*g**u - g - 2/3 = 0.
-2, -1
Let v(f) = f + 7. Let w be v(-5). Factor 4*x + w*x + 2*x**2 + x**2.
3*x*(x + 2)
Let l(r) be the first derivative of -r**3 + 15*r**2 - 75*r - 18. Factor l(v).
-3*(v - 5)**2
Let q(r) = -3*r**5 + 21*r**3 + 12*r + 15. Let b(x) = x**3 + x + 1. Let u(n) = -15*b(n) + q(n). Let u(p) = 0. What is p?
-1, 0, 1
Let l be 52/10 + (-6)/30. Solve 21*u**4 - 4*u**2 + 0*u**4 - 3*u**2 + 12*u**l + 6*u**3 + 4*u**2 = 0 for u.
-1, 0, 1/4
Let y(q) be the first derivative of -q**4/3 + 2*q**3/3 - q + 9. Let a(g) be the first derivative of y(g). Let a(f) = 0. What is f?
0, 1
Let g be 28*1228/(-11464) + 3. Let m = 140431/4299 + g. Factor 56/3*o - m*o**2 - 8/3.
-2*(7*o - 2)**2/3
Let v(p) = 2*p**2 - 4*p - 4*p**2 - 2*p**2 + 1 + 3*p**2. Let r(g) = 3*g**2 + 13*g - 4. Let i(d) = 4*r(d) + 14*v(d). Factor i(l).
-2*(l + 1)**2
Let j(z) = 2*z**2 + 10*z - 97. Let p be j(-10). Suppose 0 + 4/17*q**2 - 2/17*q**p - 2/17*q = 0. Calculate q.
0, 1
Suppose 0 = -2*l - l + 12. Suppose -4*w + 2*w + l = 0. What is p in -1 - 12*p**w + 0*p**2 + 11*p**2 + 2*p = 0?
1
Let q(k) = 7*k**2 + 0*k - k**3 - 3 - k + 2*k. Let r be q(7). Determine g, given that 0*g - 2/5*g**r - 2/5*g**2 + 0 + 4/5*g**3 = 0.
0, 1
Let 