pose z(t) = 0. Calculate t.
-1, 0, 1
Let l = 33 - 31. Suppose n - 9 = -l*n. Factor 0*c**2 + 0 + 1/4*c - 1/4*c**n.
-c*(c - 1)*(c + 1)/4
Let x(y) be the second derivative of y**8/3360 - y**6/720 - y**3/3 - y. Let j(d) be the second derivative of x(d). Factor j(w).
w**2*(w - 1)*(w + 1)/2
Let x = 1/57 + 47/570. Let h(f) be the first derivative of 0*f + 0*f**4 + x*f**5 - 1/8*f**2 - 2 - 1/6*f**3 + 1/24*f**6. Factor h(b).
b*(b - 1)*(b + 1)**3/4
Suppose 0 = 4*c + 9 - 17. Factor 0*o**c - 1/4 - o**3 + 3/4*o.
-(o + 1)*(2*o - 1)**2/4
Let q = -1712 + 1712. What is g in q*g**2 + 0*g + 0 + 3/4*g**3 - 3/4*g**4 = 0?
0, 1
Let o(u) be the second derivative of 0 + 1/7*u**3 + 1/42*u**4 + 2/7*u**2 - 4*u. Factor o(x).
2*(x + 1)*(x + 2)/7
Let j(p) be the second derivative of 2*p**6/135 + 2*p**5/45 - p**4/27 - 4*p**3/27 + 5*p. Factor j(n).
4*n*(n - 1)*(n + 1)*(n + 2)/9
Let q(d) be the first derivative of 2/3*d**3 - 1/2*d**2 + 0*d - 1/4*d**4 - 3. Factor q(x).
-x*(x - 1)**2
Let m(i) be the first derivative of 0*i**2 - 1 + 1/4*i**4 + 0*i + 1/6*i**3 - 7/10*i**5 + 1/3*i**6. Factor m(a).
a**2*(a - 1)**2*(4*a + 1)/2
Let u(y) = -2*y - 4. Let m(o) = -3*o - 3. Let a(g) = 3*m(g) - 4*u(g). Let l be a(5). Factor 0*n**l - 2*n**2 + 4*n**2 + n**3 - 3*n**3.
-2*n**2*(n - 1)
Let l = 10 - 8. Suppose l*t + 2*q - 8 = 0, -2*t + q - 4 = -6. Factor 2/5*p**t + 0 + 4/5*p.
2*p*(p + 2)/5
Suppose 4 = 13*p - 17*p, -3*p = -4*w + 3. Determine g, given that -1/2*g**3 - 1/2*g**2 + w + g = 0.
-2, 0, 1
Let z = 1/144 + 91/720. Let p(n) be the first derivative of 2 + 0*n**3 + 0*n - z*n**5 + 0*n**4 - 1/18*n**6 + 0*n**2. Factor p(h).
-h**4*(h + 2)/3
Suppose 4*d - 610 - 378 = 0. Determine z, given that -d + 3*z**3 + 247 + z**2 - 2*z = 0.
-1, 0, 2/3
Suppose 0 = -5*a - 11 + 1. Let d(j) = -j**2 - 2*j + 3. Let p(s) = s**2 - 1. Let w(g) = a*d(g) - 4*p(g). Factor w(y).
-2*(y - 1)**2
Let c(q) be the second derivative of q**4/12 + 4*q**3/3 + 8*q**2 + 2*q. Factor c(t).
(t + 4)**2
Let w(u) = u**2 + 4*u + 3. Suppose -5*x - 18 = 2. Let g be w(x). Let 1/3*l**g - 1/3*l**4 + 0 - 1/3*l + 1/3*l**2 = 0. What is l?
-1, 0, 1
Determine a so that -8*a**3 + 0*a**3 - 3*a**2 + 2*a**4 + 15*a**2 + 2 - 8*a = 0.
1
Suppose -2*n = 2*n - 16. Factor -4*m**2 + 7*m**3 + 5*m**2 - 3*m**2 + 9*m**n.
m**2*(m + 1)*(9*m - 2)
Let m be 5/2 - (-5 - -7). Factor 0 - 1/2*a + m*a**2.
a*(a - 1)/2
Let a be ((-12)/(-126))/((-1)/(-7) + 0). Factor -4/3 + a*c**3 - 8/3*c**2 + 10/3*c.
2*(c - 2)*(c - 1)**2/3
Suppose -3*j + 12 + 7 = 5*i, -5 = -4*i + j. Factor 6*r**2 + r + 3*r**3 - 3*r**i - 4*r**3 + 1 - 4*r**2.
-(r - 1)*(r + 1)**2
Let f be -5*(-459)/225 - (-4)/(-10). Factor -28/5*z**2 + 4/5*z + f*z**3 + 0.
z*(7*z - 2)**2/5
Let m(n) be the first derivative of 9*n**5/10 + 29*n**4/8 + 11*n**3/2 + 15*n**2/4 + n + 19. Find i such that m(i) = 0.
-1, -2/9
Let x(p) be the second derivative of -p**5/20 + p**3/6 + 3*p. Factor x(j).
-j*(j - 1)*(j + 1)
Let z = 7 - 5. Let l be 6/3 - (-4 + 2 - -4). Factor -2/7*p**z - 2/7*p**4 + 4/7*p**3 + 0 + l*p.
-2*p**2*(p - 1)**2/7
Let o be (-1)/(28/(-21)*3). Let 0*d + o - 1/4*d**2 = 0. What is d?
-1, 1
Let -19*c**2 + 6*c + 9*c**4 + 9*c**3 - 3*c**5 - 14*c**4 + 8*c**4 + 4*c**2 = 0. What is c?
-2, 0, 1
Let t(f) be the first derivative of -f**5/35 - 9*f**4/28 - 10*f**3/7 - 22*f**2/7 - 24*f/7 - 3. Determine y so that t(y) = 0.
-3, -2
Let o = 24 + -22. Let g(m) be the first derivative of 1/3*m**5 + 25/18*m**6 + 4/9*m**3 - 4/3*m**4 + 0*m + 0*m**o - 2. Factor g(z).
z**2*(z + 1)*(5*z - 2)**2/3
Let y(z) be the second derivative of -z**6/360 + z**4/72 + z**2/2 + 4*z. Let t(q) be the first derivative of y(q). Factor t(a).
-a*(a - 1)*(a + 1)/3
Let t = 2 + 0. Factor 0*a**t + 3*a**2 - a**2.
2*a**2
Let y(r) be the first derivative of -1/6*r**2 - 1/3*r**3 - 3 + 0*r. Factor y(p).
-p*(3*p + 1)/3
Let g(j) be the second derivative of -j**4/12 + 14*j**3/3 - 98*j**2 - 7*j + 5. Find c, given that g(c) = 0.
14
Let s(x) = -x**2 + 3*x + 2. Let w be s(3). Factor -1 - 2*u**2 - 4*u**3 - u - 3*u - 4*u**w - u**4.
-(u + 1)**4
Let l be (-36)/14 + 2 - (-16)/28. Let v(w) be the first derivative of l*w**3 + 1/9*w**6 + 4/15*w**5 + 0*w**2 - 1 + 1/6*w**4 + 0*w. Factor v(i).
2*i**3*(i + 1)**2/3
Suppose -j = 3*b - 62, 4*b - 2*j = -0*b + 76. Factor -a**3 - 2*a**2 - b*a + 20*a.
-a**2*(a + 2)
Suppose 0 = -2*a - 2*s, s - 3*s = 8. Suppose n = 3*m - 13, 4*n - 3*m + 3 = -4. Suppose a*f - f - f - n*f**3 = 0. What is f?
-1, 0, 1
Let r = -112 - -116. Let 2/15*g**3 + 2/15*g**2 + 0 - 2/15*g**r - 2/15*g = 0. Calculate g.
-1, 0, 1
Let r(n) be the third derivative of -3/16*n**4 + 0*n + 0*n**3 - 6*n**2 - 1/40*n**5 + 0. Factor r(w).
-3*w*(w + 3)/2
Find u, given that -1/3*u**3 + 0 + u - 2/3*u**2 = 0.
-3, 0, 1
Let v(l) = l**4 + l**2 + l + 1. Let c = 1 - 0. Let b(u) = 12*u**5 - 39*u**4 + 33*u**3 + 9*u**2 - 7*u. Let g(s) = c*b(s) - 2*v(s). Determine p so that g(p) = 0.
-1/3, -1/4, 1, 2
Let l(r) be the first derivative of r**4/2 + 16*r**3/3 - 48. Factor l(t).
2*t**2*(t + 8)
Let k be (-4 - (-2 + 3))/(-1). Solve -4*w - 2*w**2 - 3*w + k*w = 0 for w.
-1, 0
Let m(k) be the second derivative of -k**6/30 + k**4/12 + 3*k. Factor m(d).
-d**2*(d - 1)*(d + 1)
Solve -2/3*s**5 + 0*s - 12/5*s**4 + 16/15*s**2 + 0 - 8/5*s**3 = 0.
-2, 0, 2/5
Let k(s) be the first derivative of s**6/240 - s**5/48 + s**4/24 + s**3 - 3. Let l(d) be the third derivative of k(d). Factor l(w).
(w - 1)*(3*w - 2)/2
Let t(y) be the second derivative of -2*y**7/21 + 2*y**6/15 + y**5/5 - y**4/3 + 9*y. Factor t(s).
-4*s**2*(s - 1)**2*(s + 1)
Determine o so that 3/2*o**2 + 3/4*o - 3/2 - 3/4*o**3 = 0.
-1, 1, 2
Solve 7*q - 3*q + q + 3*q**3 - 8*q**3 = 0.
-1, 0, 1
Let d(m) be the second derivative of -m**5/5 + 2*m**4/3 - 2*m. Factor d(q).
-4*q**2*(q - 2)
Let d = -6/31 - -43/62. Let -d*n**4 + 0*n + 1/2*n**5 + 0 + 0*n**3 + 0*n**2 = 0. What is n?
0, 1
Let 3/2*k**3 + 0 - 3*k - 3/2*k**2 = 0. Calculate k.
-1, 0, 2
Let n(w) be the second derivative of 0 + 0*w**2 + 1/9*w**4 + 4*w + 1/9*w**3 + 1/30*w**5. Factor n(o).
2*o*(o + 1)**2/3
Let p(h) be the second derivative of h**7/21 - 2*h**6/15 + h**5/10 + 29*h. Find i, given that p(i) = 0.
0, 1
Let w = 130 + -127. Let k(f) be the third derivative of 0*f + 0*f**w + 0 + 2*f**2 + 1/945*f**7 + 0*f**6 - 1/270*f**5 + 0*f**4. Suppose k(s) = 0. Calculate s.
-1, 0, 1
Let t(w) = w**2 + 5*w + 5. Let p be t(-5). Suppose p*c - 7*c + 4 = 0. Solve -2*r + r**3 + 2 + 1/2*r**4 - 3/2*r**c = 0.
-2, 1
Let u(d) be the first derivative of -1/15*d**5 - 10 - 1/6*d**4 + 1/9*d**3 + 1/3*d**2 + 0*d. Find n, given that u(n) = 0.
-2, -1, 0, 1
Let g be (33/(-22))/(3/5) - -3. Find a such that g + 2*a**3 + 3*a + 9/2*a**2 = 0.
-1, -1/4
Let -5 + 1 + v**2 - 8*v - 6*v**2 - v**3 = 0. Calculate v.
-2, -1
Solve -3/2*d + 0*d**2 + 0*d**4 + 0 - 3/2*d**5 + 3*d**3 = 0 for d.
-1, 0, 1
Suppose 0*o = 2*o. Let t(u) be the third derivative of 0*u**3 + o + u**2 - 7/30*u**7 + 7/30*u**6 - 1/15*u**5 + 0*u + 0*u**4. Let t(m) = 0. Calculate m.
0, 2/7
Let b(j) = -j**3 + 4*j**2 - 2*j + 3. Let u be b(3). Let -u*i - i**2 + 5*i**2 - i**2 = 0. What is i?
0, 2
Let a be 2/(-4)*12/(-3). Factor 2*j**2 + 12*j + a*j**2 + 8*j**2 + 4 + 4*j**3.
4*(j + 1)**3
Let c(a) be the first derivative of a**4/9 + 20*a**3/27 + 16*a**2/9 + 16*a/9 + 3. Let c(t) = 0. Calculate t.
-2, -1
Let v(g) be the second derivative of g**4/54 - g**3/9 + 4*g. Suppose v(y) = 0. What is y?
0, 3
Let u(c) be the first derivative of 1 + 1/3*c**3 - 3/4*c**4 + 2/3*c**6 + 0*c**2 + 0*c + 0*c**5. Factor u(f).
f**2*(f + 1)*(2*f - 1)**2
Let p = 1 + 7. Determine y so that -4*y**2 + 4*y**2 - 2*y + y**4 - 12*y**3 - 2*y**5 + 7*y**4 + p*y**2 = 0.
0, 1
Let h = 12 - 3. Suppose -h = -3*p - 0. Solve 2 + 2*y**p - 2 = 0.
0
Let d(z) be the third derivative of 1/150*z**5 - 1/60*z**4 + 4*z**2 + 0*z**3 - 1/525*z**7 + 1/300*z**6 + 0*z + 0. Factor d(s).
-2*s*(s - 1)**2*(s + 1)/5
Determine b so that -16/5*b**2 - 4/5*b + 0 = 0.
-1/4, 0
Let o(s) = s**3 + 2*s**2 - s - 2. Let r be o(-2). Let x = 2 + r. Solve -3*m**2 - 2*m**3 + m**3 + 2*m**4 - x*m**2 - 2*m = 0.
-1, -1/2, 0, 2
Let p(b) = 26*b + 8 + 4 - 24*b. Let l be p(-6). What is y in -2/3*y**5 - 2/3*y**4 + l*y**2 + 0*y + 0*y**3 + 0 = 0?
-1, 0
Factor 0 + 0*c**2 + 0*c + 2/3*c**5 - 1/3*c**4 + 0*c**3.
c**4*(2*c - 1)/3
Suppose -4*c = -0 - 16. Let u(k) be the second derivative of 0 + 1/84*k**7 - k + 3/