v**4/6 + v**3/3 - v**2/3 + 12*v. Factor o(u).
2*(u - 1)**3/3
Let s(z) be the third derivative of z**5/48 - 5*z**4/32 - 5*z**3/6 + 20*z**2. Factor s(g).
5*(g - 4)*(g + 1)/4
Factor 0*s**3 + 0 + 0*s - 1/3*s**2 + 1/3*s**4.
s**2*(s - 1)*(s + 1)/3
Let -1/4*j + 1/4*j**3 + 2*j**2 - 2 = 0. Calculate j.
-8, -1, 1
Let d(i) be the first derivative of -i - 1/12*i**4 - 3 + 0*i**3 + 0*i**2. Let z(v) be the first derivative of d(v). Factor z(n).
-n**2
Suppose 0 = 5*b + 51 + 14. Let o = -62/5 - b. Factor -12/5 - 12/5*s - o*s**2.
-3*(s + 2)**2/5
Let l(h) be the second derivative of h**9/75600 - h**7/12600 - 7*h**4/12 - 4*h. Let b(j) be the third derivative of l(j). Find o, given that b(o) = 0.
-1, 0, 1
Let n = -27 + 31. What is s in s + 6*s**3 - 8*s + n*s - 2*s**5 - s**5 = 0?
-1, 0, 1
Let f(h) = h**3 - 2*h**2. Let x be f(2). Suppose p - 4 = -t, 4*t = -3*p + 1 + 15. Let 1 + 1 + 2*v**4 - 4*v**2 + x*v**t + 0 = 0. What is v?
-1, 1
Let f(s) be the third derivative of -2/45*s**6 + 8*s**2 + 0 + 2/9*s**3 + 2/9*s**4 - 1/45*s**5 + 0*s. Let f(t) = 0. What is t?
-1, -1/4, 1
Let d = -528 - -1588/3. Determine h, given that 0 + 0*h + 14/3*h**4 + 10/3*h**3 - d*h**2 = 0.
-1, 0, 2/7
Let o(r) be the first derivative of -1/18*r**4 - 1/9*r**3 + 2*r + 1/15*r**5 - 2 + 0*r**2. Let f(a) be the first derivative of o(a). Factor f(u).
2*u*(u - 1)*(2*u + 1)/3
Suppose -2*h - 3*l + 9 = 0, 29 = 5*h + 5*l + 9. Let -1/2 - 1/2*n + 1/2*n**h + 1/2*n**2 = 0. What is n?
-1, 1
Suppose -1 = -2*n + 3*w - 10, -2*n + 1 = -w. Solve -33*k**n - 7*k**2 - 9*k**2 + k**2 - 2*k - 9*k**5 - 29*k**4 = 0 for k.
-1, -2/9, 0
Let z(s) = 0 + 2 - s**2 + 6*s + 0 + 7*s. Let r be z(13). Factor 0 - 2/7*f**r + 0*f.
-2*f**2/7
Let k(s) be the first derivative of s**6/1260 - s**5/210 + 4*s**3/3 - 5. Let y(v) be the third derivative of k(v). Suppose y(g) = 0. Calculate g.
0, 2
Let v(x) = -x**2 + 3*x. Let d be v(3). Factor -7/2*q**2 + d + q.
-q*(7*q - 2)/2
Let w(f) be the second derivative of f**4/36 - f**2/6 - 5*f. Factor w(m).
(m - 1)*(m + 1)/3
Suppose 4*v = -p + 12, 2*v + 0*v - 12 = -2*p. Suppose -5*k + 5 = 0, v*g = 3*g - 3*k - 3. Factor -g*f**2 + 6*f**2 - 3*f**2 + 1 + 2*f**3.
(f - 1)**2*(2*f + 1)
Let k = -5926 + 23957/4. Let y = k + -63. Factor -1/2*w + 1/4*w**2 + y.
(w - 1)**2/4
Suppose 0*t + 5*t = 4*u - 27, -3*u - 6 = 5*t. Factor 2*z**3 + 0*z - z + 4*z**u - 2*z - 3*z**5.
-3*z*(z - 1)**2*(z + 1)**2
Let l be -7*1/(21/18). Let k be l/(-14) - (-75)/315. Determine i, given that k*i**3 + 0 + 4/3*i**2 + 2/3*i = 0.
-1, 0
Let a(w) = -4*w**2 + w + 0*w**3 + 7*w**3 + 0 - 6. Let b = 0 - -5. Let g(o) = -6*o**3 + 3*o**2 - o + 5. Let s(k) = b*a(k) + 6*g(k). Factor s(l).
-l*(l + 1)**2
What is y in -3*y**2 - 4*y**3 + 6*y**4 - 4*y**3 + 2*y + 2*y + y**2 = 0?
-2/3, 0, 1
Let t be 2/(-9)*84/(-8). Let d(p) be the first derivative of t*p**3 - 11/12*p**4 + 2/15*p**5 - 8/3*p**2 - 2 + 4/3*p. Solve d(g) = 0.
1/2, 1, 2
Let j(c) be the second derivative of c**10/30240 + c**9/5040 + c**8/2240 + c**7/2520 - c**4/2 - 6*c. Let x(d) be the third derivative of j(d). Factor x(q).
q**2*(q + 1)**3
Let n be ((-3)/6)/((-2)/4). Let r be 2/10 + n/(-5). Find i such that 7*i**4 - 5*i**4 - i**5 - i**3 + r*i**5 = 0.
0, 1
Let w(h) = -h**2. Let d(k) = k**4 + 3*k**3 - 7*k**2 - 12*k - 8. Let g(i) = d(i) - 5*w(i). Factor g(y).
(y - 2)*(y + 1)*(y + 2)**2
Let -12/7 + 9/7*z**3 + 0*z + 3*z**2 = 0. Calculate z.
-2, -1, 2/3
Let p(n) be the third derivative of 1/75*n**5 + 0*n**3 + 7*n**2 + 0*n - 1/15*n**4 + 1/50*n**6 - 2/525*n**7 + 0 - 1/420*n**8. Find y such that p(y) = 0.
-2, -1, 0, 1
Let q = 5 + -2. Factor 5*v**2 - 3*v**q + v + v**2 - 4*v.
-3*v*(v - 1)**2
Let v(t) be the third derivative of -1/60*t**5 + 0 - 1/2*t**3 - 1/6*t**4 - t**2 + 0*t. Factor v(n).
-(n + 1)*(n + 3)
Factor -1 - 6/5*r - 1/5*r**2.
-(r + 1)*(r + 5)/5
Let q(f) be the second derivative of 7*f**5/10 + 2*f**4 - 4*f**3/3 - 8*f. Factor q(g).
2*g*(g + 2)*(7*g - 2)
Let o(l) be the first derivative of -l**4/4 - l**3/3 - l**2/2 + 2*l - 1. Let t be o(0). Let 0*c**4 + 0 - 2/5*c**3 + 0*c**t + 2/5*c**5 + 0*c = 0. Calculate c.
-1, 0, 1
Suppose -29*c + 10*c + 76 = 0. Find h such that 3/2*h**3 - 3/2*h + 3/2*h**c + 0 - 3/2*h**2 = 0.
-1, 0, 1
Suppose -o = -6*o. Let m(l) be the second derivative of o*l**2 + 5/6*l**4 + 0 + l + 2/3*l**3. Suppose m(b) = 0. Calculate b.
-2/5, 0
Solve 0 - z**3 - 1/2*z**4 + 1/2*z**2 + z = 0.
-2, -1, 0, 1
Let r(p) = p**3 + 15*p**2 + 14*p + 2. Let m be r(-14). Let o(a) be the first derivative of 0*a**2 - a + 1/3*a**3 + m. Factor o(g).
(g - 1)*(g + 1)
Suppose 2*w - 13 + 5 = 0. What is h in -16*h**3 + 12*h**2 - w*h + 8*h**4 + 1/2 = 0?
1/2
Let w(a) be the first derivative of 0*a - 1/6*a**6 + 0*a**2 - a**5 - 2*a**4 - 4/3*a**3 - 2. Let w(k) = 0. Calculate k.
-2, -1, 0
Solve -14/5*a - 4/5 + 8/5*a**3 + 2*a**2 = 0.
-2, -1/4, 1
Let x(l) = 3*l**2 - 7*l - 13. Let y(g) = -2*g**2 + 8*g + 14. Let q(f) = -4*x(f) - 5*y(f). Let q(t) = 0. Calculate t.
-3
Suppose 5*j = -4*y + 11, -5*y = -5*j + 29 - 9. Find b, given that 3*b**2 + b**2 - 2*b**3 + j*b**2 - 5*b**2 = 0.
0, 1
Let q(a) be the third derivative of a**8/784 - a**7/245 + a**5/70 - a**4/56 + 7*a**2. Factor q(s).
3*s*(s - 1)**3*(s + 1)/7
Let p = 3/3391 + 77873/135640. Let w = -3/8 + p. Find t, given that -w*t**4 - 4/5*t**3 - 2/5*t - t**2 + 0 = 0.
-2, -1, 0
Let u(x) be the second derivative of -2/5*x**2 - 1/15*x**3 + 1/15*x**4 + 1/50*x**5 + 5*x + 0. Determine f, given that u(f) = 0.
-2, -1, 1
Let p(i) be the first derivative of -2*i**3/21 + 16*i**2/7 - 128*i/7 + 20. Factor p(z).
-2*(z - 8)**2/7
Let r(v) = -8*v - 2. Let p(n) = -n**2 - n - 1. Let k(x) = 2*p(x) - r(x). Factor k(o).
-2*o*(o - 3)
Let v(w) be the first derivative of w**4/6 - 2*w**3/3 + 5*w - 1. Let g(t) be the first derivative of v(t). What is m in g(m) = 0?
0, 2
Let f = 7 + -1. Let a be 20/f - (3 - 1). Suppose 0*g + 2/3*g**4 - a*g**2 + 0*g**3 + 2/3 = 0. Calculate g.
-1, 1
Let k(w) = w**4 + w**3 + w**2 - w - 1. Let n(v) = 4*v**4 - 2. Let f(p) = 2*k(p) - n(p). Factor f(u).
-2*u*(u - 1)**2*(u + 1)
Let p be 10/4 - (-2)/4. Let n(q) be the first derivative of -9/10*q**5 + 3 + 0*q + 4/3*q**p - 3/8*q**4 + q**2. Factor n(x).
-x*(x - 1)*(3*x + 2)**2/2
Let p = 55 + -55. Let -1/3*l + 1/3*l**4 - l**3 + p + l**2 = 0. Calculate l.
0, 1
Let z(q) = -4*q + 1. Let n be z(-1). Let m(j) be the first derivative of 0*j + 1/15*j**n + 0*j**2 - 1/9*j**3 + 2 - 1/6*j**6 + 1/4*j**4. Solve m(s) = 0.
-1, 0, 1/3, 1
Let r(a) = -a**2 + a + 1. Let t(v) = -1 - v + 0 - 3*v**3 + 2*v**3. Let x be (-2 + 1)/((-5)/10). Let b(i) = x*t(i) + 2*r(i). Find y, given that b(y) = 0.
-1, 0
Let o(f) be the second derivative of 5*f**7/42 - f**6 + 7*f**5/2 - 20*f**4/3 + 15*f**3/2 - 5*f**2 - 2*f. Factor o(z).
5*(z - 2)*(z - 1)**4
Suppose -4*l + 12 = -s, 0 = -4*s + 73*l - 71*l - 6. Factor -3/4 + s*j + 3/4*j**2.
3*(j - 1)*(j + 1)/4
Let z(m) be the first derivative of -4*m**3/9 + 2*m**2 - 8*m/3 + 3. Factor z(y).
-4*(y - 2)*(y - 1)/3
Let o(h) = -h**3 + 7*h**2 + 2*h - 9. Let z be o(7). Solve 3*i**4 + i**3 + 4*i - 3*i**2 - 2*i**4 - z*i + 2*i**2 = 0.
-1, 0, 1
Factor -4*a + 7/2 + 1/2*a**2.
(a - 7)*(a - 1)/2
Let a(q) = -2*q**2 - 8*q - 2. Let w(j) = 4*j**2 + 17*j + 3. Let r(p) = 5*a(p) + 2*w(p). Factor r(l).
-2*(l + 1)*(l + 2)
Let b(k) = k**2 - 4*k + 4. Let p be b(4). Suppose -3*g**p - 2*g**4 - 2*g + 4*g**2 + 2*g**5 + g**4 = 0. What is g?
-1, 0, 1
Let i(q) be the first derivative of -4 + 0*q + 1/3*q**3 - 1/15*q**5 - 1/3*q**2 + 0*q**4. Find g, given that i(g) = 0.
-2, 0, 1
Let m(p) be the first derivative of p**6/540 - p**5/45 + p**4/9 - p**3/3 - 2. Let h(r) be the third derivative of m(r). Factor h(s).
2*(s - 2)**2/3
Let 0 - 16/7*m - 16/7*m**4 + 4/7*m**5 + 12/7*m**3 + 16/7*m**2 = 0. What is m?
-1, 0, 1, 2
Let x(l) be the third derivative of -1/90*l**5 - 2*l**2 + 0 + 0*l**3 + 0*l + 0*l**4. Factor x(p).
-2*p**2/3
Let p be (-32)/(-14) - (2 - 0). Solve 0*h - 2/7*h**2 + p = 0.
-1, 1
Let a(q) be the first derivative of 0*q**4 - 1/30*q**5 + 0*q**3 + 0*q**2 + 2*q + 1. Let c(j) be the first derivative of a(j). Factor c(h).
-2*h**3/3
Solve -3/2*k + 0 + 3*k**2 - 3/2*k**3 = 0 for k.
0, 1
Suppose -17 + 1 = -4*g + 2*l, 0 = 2*g + l - 4. Factor -3*u**3 - 7*u**g + 3*u**3 + 2*u + u**3 - 4*u**2.
-2*u*(u + 1)*(3*u - 1)
Let l be (53 - 54)*2/(-4). Determine t so that -1/4*t**2 + l - 1/4*t = 