e w(v) = 0.
-1/3, 1
Let b = 426 - 38339/90. Let o(k) be the third derivative of k**2 + 0*k**3 + 0 + b*k**5 + 0*k - 1/36*k**4. Factor o(z).
2*z*(z - 1)/3
Determine n, given that 0*n + 0 + 0*n**4 + 0*n**2 + 3/4*n**3 - 3/4*n**5 = 0.
-1, 0, 1
Let t(o) = o**3 - 6*o**2 + 3. Let x be t(6). What is z in 5*z**2 - 8*z**4 + 9*z**4 - 3*z - 4*z**x + z = 0?
0, 1, 2
Let x(p) be the first derivative of 7*p**6/6 - 12*p**5/5 - 11*p**4/4 + 4*p**3 + 2*p**2 + 7. Solve x(w) = 0.
-1, -2/7, 0, 1, 2
Let r(o) = -o**3 - 16*o**2 - 16*o - 12. Let z be r(-15). Let v(d) be the second derivative of 0 - d**z - 7/18*d**4 - 2/3*d**2 + 3*d. Factor v(f).
-2*(f + 1)*(7*f + 2)/3
Let b(o) = -6*o**3 - 6*o**2 + 6*o + 6. Let x(m) = -6*m**3 - 7*m**2 + 6*m + 7. Let l(s) = -5*b(s) + 4*x(s). Factor l(y).
2*(y - 1)*(y + 1)*(3*y + 1)
Factor 0 + 5/3*q + 5*q**3 + 5*q**2 + 5/3*q**4.
5*q*(q + 1)**3/3
Let k be (12/(-10))/(-10 + (-432)/(-45)). Factor -1/2*g**2 + 5/6*g - 1/6 - 3/2*g**k.
-(g + 1)*(3*g - 1)**2/6
Let q(u) = u + 10. Let j be q(-8). Suppose -j*i = i - 6. Let 2/9*x**i + 0 - 2/9*x = 0. What is x?
0, 1
Let q(j) be the second derivative of j**5/90 - j**4/54 - 16*j. Factor q(c).
2*c**2*(c - 1)/9
Let i(f) be the second derivative of -1/130*f**5 + 0 - 1/39*f**4 + 0*f**2 - 1/39*f**3 + 8*f. Factor i(n).
-2*n*(n + 1)**2/13
Factor 4*g**4 + 10*g**3 - 13/4*g + 9/4*g**2 + 1/2.
(g + 1)*(g + 2)*(4*g - 1)**2/4
Let z = -2 - -6. Factor -z*t**2 - 3*t - 8 + 3*t - 8*t - 4*t.
-4*(t + 1)*(t + 2)
Let b(t) be the third derivative of -t**8/1512 + 2*t**7/945 - t**5/135 + t**4/108 - t**2. Let b(p) = 0. Calculate p.
-1, 0, 1
Suppose d + 1 = 3. Suppose -2*g = n + 6, 6*n - 2*n - d*g - 6 = 0. Solve 0*m**3 + 0 + 1/5*m**5 + 0*m + 0*m**4 + n*m**2 = 0 for m.
0
Factor 4/7*h - 4/7 + 15/7*h**2.
(3*h + 2)*(5*h - 2)/7
Let p(f) be the first derivative of -f**4/40 + f**3/15 + 3*f**2/20 + 13. Let p(a) = 0. Calculate a.
-1, 0, 3
Find j such that 0 + 2/7*j**3 + 2/7*j + 4/7*j**2 = 0.
-1, 0
Let x(k) be the second derivative of k**7/147 + k**6/35 + k**5/35 - k**4/21 - k**3/7 - k**2/7 - 2*k. What is r in x(r) = 0?
-1, 1
Let q be 2/6 + (-277)/12. Let c = q - -645/28. Let 6/7*z**2 - c*z**3 + 2/7 - 6/7*z = 0. What is z?
1
Let j(a) be the second derivative of -a**7/13860 + a**6/1320 + 5*a**4/12 + 5*a. Let i(h) be the third derivative of j(h). Factor i(u).
-2*u*(u - 3)/11
Suppose 11 = 5*t - 19. Let g(o) be the third derivative of 0*o**4 + 0*o - 1/480*o**t + 0 + 0*o**3 - o**2 - 1/120*o**5. Factor g(w).
-w**2*(w + 2)/4
Suppose -2/5*u**3 + 12/5 + 22/5*u + 8/5*u**2 = 0. What is u?
-1, 6
Let y(p) be the third derivative of p**7/525 - 7*p**6/300 + 3*p**5/25 - p**4/3 + 8*p**3/15 - 6*p**2. Factor y(a).
2*(a - 2)**3*(a - 1)/5
Let o(s) be the second derivative of s**4/36 + s**3/6 + s**2/3 + 10*s. Factor o(c).
(c + 1)*(c + 2)/3
Let o(h) be the third derivative of -h**6/720 - h**5/120 - h**4/72 + 10*h**2. Factor o(k).
-k*(k + 1)*(k + 2)/6
Let x(a) be the first derivative of -9*a**5/35 + 3*a**4/7 + 4*a**3/7 - 5. Factor x(j).
-3*j**2*(j - 2)*(3*j + 2)/7
Let o be (18/15)/(6/15). Suppose -5*u - 5*y + 3 = 8, 2*y = 3*u - 17. Suppose -2 + u*z**2 + o*z - 7 + 3 = 0. What is z?
-2, 1
Let u(z) be the third derivative of -z**7/1260 + z**5/60 + z**4/6 + 6*z**2. Let w(v) be the second derivative of u(v). Solve w(d) = 0.
-1, 1
Suppose 3/7*x + 3/7*x**2 - 3/7*x**3 - 3/7 = 0. What is x?
-1, 1
Let k(f) be the second derivative of 0 + 4/65*f**5 - 3*f + 0*f**2 + 1/78*f**4 + 1/39*f**6 - 2/39*f**3. Solve k(l) = 0.
-1, 0, 2/5
Let p(a) be the first derivative of -a**3/5 + 6*a**2/5 - 12*a/5 - 3. Factor p(v).
-3*(v - 2)**2/5
Let f(b) be the third derivative of -b**6/24 - b**5/4 - 5*b**4/12 + b**2. Factor f(p).
-5*p*(p + 1)*(p + 2)
Let c(h) be the third derivative of -h**10/50400 + h**9/20160 + h**8/6720 - h**7/1680 - h**5/30 + 2*h**2. Let r(j) be the third derivative of c(j). Factor r(i).
-3*i*(i - 1)**2*(i + 1)
Let m(z) be the second derivative of -z**5/40 + z**4/12 + 23*z. Factor m(g).
-g**2*(g - 2)/2
Solve 1/2*l**2 + 1/4*l - 1/4*l**3 - 1/2 = 0 for l.
-1, 1, 2
Let a(r) be the first derivative of 0*r**3 + 0*r**2 + 2*r + 2 - 1/12*r**4. Let m(s) be the first derivative of a(s). Factor m(h).
-h**2
Let l be 4/(-20)*(-6 + 1). Let j be 48/20 - 1 - l. Let -j*q**2 - 7/5*q**3 + 0 + 0*q = 0. What is q?
-2/7, 0
Factor 0 + 12/5*g**4 + 4/5*g**2 + 4/5*g - 4*g**3.
4*g*(g - 1)**2*(3*g + 1)/5
Let z(p) be the second derivative of -1/2*p**4 + 2/3*p**3 - 1/3*p**2 - 3*p + 0. Factor z(s).
-2*(3*s - 1)**2/3
Let v = 6 + -2. Let l(i) be the first derivative of -4/33*i**3 + 0*i + 1/11*i**2 + 1/22*i**v + 4. Factor l(t).
2*t*(t - 1)**2/11
Factor 8/5*u - 1/5*u**2 - 16/5.
-(u - 4)**2/5
Solve 17*v + v + 12 + 13*v - 5*v - 10*v**2 = 0 for v.
-2/5, 3
Let a(d) = 2*d**2 - 11*d - 6. Let g be a(6). Let j(t) be the second derivative of g + 0*t**4 + 0*t**3 + 3*t + 0*t**2 - 1/20*t**5. Factor j(v).
-v**3
Let o = 726 - 2176/3. Find b such that 4/3*b - 2*b**3 + 2/3*b**5 + 0 - o*b**2 + 2/3*b**4 = 0.
-2, -1, 0, 1
Let u be 20/(-6)*21/(-14). Factor -12*s**2 + s**u - 4*s**2 - 6*s - 8*s + s**5 + 4*s**4 - 4 - 4*s**3.
2*(s - 2)*(s + 1)**4
Let c = -7 - -1. Let p = 6 + c. Factor -15*t**3 + 8*t**4 + 16*t**2 - 6*t**3 + t**4 + p*t**4 - 4*t.
t*(t - 1)*(3*t - 2)**2
Determine g so that 5*g**3 - 5*g**4 - 129 + 129 = 0.
0, 1
Let o(y) be the second derivative of y**5/20 - 2*y**4/3 + 3*y**3/2 - 2*y**2 + 2*y. Let v be o(7). Factor 30*l**2 + 10*l**2 + 8 + 40*l + v*l**2.
2*(5*l + 2)**2
Suppose 15*n - 124 = -16*n. Suppose -1/2*f**n + f**2 - 1/2 - 2*f**3 + f + f**5 = 0. What is f?
-1, 1/2, 1
Suppose 0 = -2*f + 4 + 6. Suppose 2*m**f - 4*m**3 + 7 - 7 + 2*m = 0. What is m?
-1, 0, 1
Let i(l) be the third derivative of -13*l**5/210 + 4*l**4/21 - l**3/7 - 19*l**2. Factor i(p).
-2*(p - 1)*(13*p - 3)/7
Let d(x) be the third derivative of x**8/1680 - x**7/1050 - x**6/600 + x**5/300 - 8*x**2. Solve d(k) = 0.
-1, 0, 1
Let p be 1/2 + 2/(-4). Let k be (1 - 0)*(p + 2). Determine g, given that k - 3*g**2 + 2*g**2 + 0*g**2 - 3*g**2 + 7*g = 0.
-1/4, 2
Factor -2*w**2 + 4/9 + 2/9*w - 10/9*w**4 - 26/9*w**3.
-2*(w + 1)**3*(5*w - 2)/9
Determine r, given that 0 - 10/3*r**2 - 10/3*r - 5/6*r**3 = 0.
-2, 0
Let z(h) be the third derivative of h**6/20 - h**5/15 - h**4/4 + 2*h**3/3 + 2*h**2. Find t such that z(t) = 0.
-1, 2/3, 1
Suppose 3*y = -5*m - y + 26, 5*y - 14 = 3*m. Find k, given that -88*k**3 + 4 - 2*k - 6*k + 5*k**m + 87*k**3 = 0.
1, 2
Let c(a) be the first derivative of 2/21*a**3 - 3 + 1/7*a**2 + 0*a. Factor c(l).
2*l*(l + 1)/7
Let o(z) be the first derivative of z**5/60 + z**4/24 - z**3/3 + 3*z**2/2 - 3. Let s(v) be the second derivative of o(v). Factor s(u).
(u - 1)*(u + 2)
Suppose 0 = -5*d - k + 11, -k - 3 = -4*k. Factor 2/3*i**d + 2/3*i + 0.
2*i*(i + 1)/3
Suppose -11 = -4*d + 3*s + 5, 0 = -d - 2*s + 4. Suppose 2*x = d*l - 6, 3*x + 5 = 3*l + 2*l. What is r in -2*r + 3*r**5 + 6*r**2 - 2*r**4 - r - 4*r**l = 0?
-1, 0, 1
Let t = -205/2 - -103. Factor 0 + 0*l - 1/2*l**2 - t*l**3.
-l**2*(l + 1)/2
Let z(j) = 17*j**3 - 10*j**2 - 35*j - 8. Let l(a) = -18*a**3 + 10*a**2 + 35*a + 7. Let v(s) = 2*l(s) + 3*z(s). Factor v(p).
5*(p - 2)*(p + 1)*(3*p + 1)
Factor -i - 3*i**2 - 2*i**2 + 9*i + i**2.
-4*i*(i - 2)
Let u(g) = 0*g**2 - 7*g - 2*g**3 - 6 + 3*g**3 - g**2 - 6*g**2. Let y be u(8). What is x in x - x**y + 0*x**2 + x - x = 0?
0, 1
Let n(m) be the third derivative of -m**6/60 - m**5/30 + 18*m**2. Factor n(f).
-2*f**2*(f + 1)
Let g be 6/3 + -2 + 5. Suppose 0*s**5 - s**3 + 2*s**g - s**3 = 0. What is s?
-1, 0, 1
Suppose -y = -3*y + 32. Let g = y + -47/3. Factor g*l**3 + 0 + 0*l + 1/3*l**2.
l**2*(l + 1)/3
Suppose 28 = 3*h - r, -2*h + 0 + 12 = r. Let v(y) be the first derivative of -14*y**3 - h*y - 49/2*y**4 + 2 + 24*y**2. Solve v(m) = 0 for m.
-1, 2/7
Let r(k) be the first derivative of -4 + 4/11*k**2 + 2/11*k + 2/11*k**3. Factor r(w).
2*(w + 1)*(3*w + 1)/11
Suppose -4*s + 18 = 2*t, t = -t + 2. What is b in -s*b**2 + b**2 + 4*b**2 = 0?
0
Let a(z) be the second derivative of z**7/1680 + z**6/240 + z**5/80 + z**4/48 + z**3/3 - 9*z. Let u(g) be the second derivative of a(g). What is m in u(m) = 0?
-1
What is y in -3*y**5 + 3*y**3 + 15*y**4 - 15*y**4 = 0?
-1, 0, 1
Let q(w) = -w**2 - 1. Let j(n) = -5*n**3 - 55*n**2 - 40*n - 50. Let i(u) = -j(u) + 30*q(u). Find b, given that i(b) 