2*g**2*(g - 1)*(4*g - 1)/11
Let f(s) = -4*s**2 - 5*s - 1. Let b(j) = 3*j**2 + 4*j + 1. Let a(g) = 3*b(g) + 2*f(g). Let a(x) = 0. Calculate x.
-1
Let q(s) = s**2 - 1. Let z(d) = -4*d**5 - d**4 + 4*d**3 - 10*d**2 + 11. Let a(v) = -44*q(v) - 4*z(v). Suppose a(f) = 0. What is f?
-1, -1/4, 0, 1
Suppose 5 = -l + 2. Let g be l/(-4) + (-22)/72. Factor 0*m + 2/9*m**2 + 2/9*m**4 + g*m**3 + 0.
2*m**2*(m + 1)**2/9
Suppose -4*s - 16 = 3*d, 4*s + s + 5*d = -25. Let r be (-1)/s - (4 + -5). Determine k so that 1 - 2*k**3 + 0*k**3 + r*k - 3*k**4 + 2*k**4 = 0.
-1, 1
Let p(i) be the second derivative of i**6/45 - 7*i**5/30 + 5*i**4/6 - 13*i**3/9 + 4*i**2/3 + 43*i. Factor p(l).
2*(l - 4)*(l - 1)**3/3
Let p(g) = -4*g**4 - 8*g**3 + 28*g**2 - 16*g - 5. Let d(h) = -4*h**4 - 8*h**3 + 28*h**2 - 16*h - 6. Let z(i) = 5*d(i) - 6*p(i). Factor z(v).
4*v*(v - 1)**2*(v + 4)
Let 322*a - 322*a + 10*a**3 - 5*a**4 - 5*a**2 = 0. Calculate a.
0, 1
Let d = -7 - -12. Suppose o + d = -0*o. Let u(w) = -w**3 - w - 2. Let c(g) = -2*g**3 - g**2 - 2*g - 5. Let i(j) = o*u(j) + 2*c(j). Factor i(q).
q*(q - 1)**2
Let k(z) = 3*z + 3. Let r be k(0). Let y(o) be the second derivative of o**2 + r*o + 1/6*o**3 + 0 - 1/12*o**4. Factor y(f).
-(f - 2)*(f + 1)
Let z(n) = -17*n**2 - 23*n - 23. Let g(p) = -4*p**2 - 6*p - 6. Let o(r) = 9*g(r) - 2*z(r). Factor o(j).
-2*(j + 2)**2
Suppose -2*s + 3 = c, 4*s - 1 = -c - 2*c. Let w be s/(4 + 16/(-6)). Factor 0*q + 0*q**w + 2/7*q**5 - 4/7*q**4 + 0*q**2 + 0.
2*q**4*(q - 2)/7
Let t(w) = -w**2 + 6*w - 11. Suppose -3*j + 4*j = 10. Let a(q) = -2*q**2 + 12*q - 23. Let z(d) = j*t(d) - 4*a(d). Factor z(l).
-2*(l - 3)**2
Let m be 2 - 2 - 1/(-4). Let d be (9/42)/(18/21). Solve -d + 1/2*c - m*c**2 = 0 for c.
1
Let q(c) = c**2 - 11*c + 3. Let s be q(11). Suppose -5*i**3 + 4*i + 2 - s + i**5 - i**4 - 6 + 5*i**2 + 3 = 0. Calculate i.
-2, -1, 1, 2
Suppose -r = -5*g + 8, 3*r = 5 + 1. Suppose -4*w = -0*s - 2*s + 24, 4*w = -3*s - 14. Factor -3*d + 4*d + s*d**2 + d**g - 2*d**2.
d*(d + 1)
Let x(h) = -2*h - 42. Let t be x(-22). Suppose -1/5*l**3 + 0 + 1/5*l + 0*l**t = 0. Calculate l.
-1, 0, 1
Suppose 2*p**4 + 2*p + 6*p**2 - 3*p**5 - 8*p**4 - 4*p + 5*p = 0. Calculate p.
-1, 0, 1
Let h(b) be the third derivative of -b**7/105 + b**5/30 - 5*b**2. Factor h(o).
-2*o**2*(o - 1)*(o + 1)
Let p(o) = 3*o - 7. Let z be p(3). Let m(t) be the third derivative of 0*t**4 + 0*t + 1/120*t**6 + 0*t**5 + 0 + 0*t**3 - z*t**2. Factor m(w).
w**3
Find f, given that 2/15*f**2 - 4/15 + 2/15*f = 0.
-2, 1
Let y(j) be the third derivative of 1/270*j**5 - 1/540*j**6 + 1/1512*j**8 + 0*j + 0*j**4 - 2*j**2 + 0*j**3 + 0 - 1/945*j**7. Let y(w) = 0. Calculate w.
-1, 0, 1
Let v(h) be the third derivative of 1/420*h**6 + 0*h + 1/210*h**5 - 6*h**2 - 1/84*h**4 + 0 - 1/21*h**3. Suppose v(z) = 0. Calculate z.
-1, 1
Let s(f) be the second derivative of -f**5/50 + f**4/30 + 2*f**3/15 + 31*f. Let s(g) = 0. Calculate g.
-1, 0, 2
Let c(u) = 9*u**2 + 3*u - 18. Let v(o) = -o**2 - o + 1. Let s(x) = -c(x) - 12*v(x). Factor s(r).
3*(r + 1)*(r + 2)
Let p = 13 + -10. Factor p*y**2 + 4*y + 6 - 2*y + y + 6*y.
3*(y + 1)*(y + 2)
Let m(s) = s**2 + 2*s - 165. Let g be m(12). Determine w, given that 3/2*w - 3/2*w**2 + 1/2*w**g - 1/2 = 0.
1
Let s(h) = h - 7. Let l be s(11). Factor 9 + i**4 + i**4 - l*i**3 - 11 + 4*i.
2*(i - 1)**3*(i + 1)
Let h(o) be the first derivative of -4*o**5/5 + o**4 - 4. Factor h(t).
-4*t**3*(t - 1)
Let u(k) be the third derivative of -1/105*k**7 + 1/10*k**5 - k**2 - 1/60*k**6 + 0*k - 2/3*k**3 + 0 + 1/12*k**4. Factor u(v).
-2*(v - 1)**2*(v + 1)*(v + 2)
Suppose -5 = -4*o + 4*v + 11, 3*o + 3*v = -12. Factor o + 2/5*l + 6/5*l**3 - 2/5*l**4 - 6/5*l**2.
-2*l*(l - 1)**3/5
Let a be (-4)/(-11)*88/16. Factor 2/9 + 2/9*p**a - 4/9*p.
2*(p - 1)**2/9
Let b be (-2 + 1 + -3)*-5. Let i be 8/(-20)*b/(-6). Let -1/3 + i*n**3 - 4/3*n - 2/3*n**2 + n**4 = 0. What is n?
-1, -1/3, 1
Suppose 0 = 3*m + 3*u - 30, 4*u - 17 + 2 = m. Let f(i) be the first derivative of 1/5*i**m + 0*i + 2 + 0*i**3 + 1/4*i**4 + 0*i**2. Solve f(x) = 0 for x.
-1, 0
Let o(p) be the third derivative of 5*p**6/36 + p**5/18 - 4*p**4/9 + 4*p**3/9 - 11*p**2. Let o(b) = 0. Calculate b.
-1, 2/5
Let w = 30 + -44. Let v be 4/(-15) - w/21. Find l such that -2/5*l**2 + 0 - 2/5*l + 2/5*l**4 + v*l**3 = 0.
-1, 0, 1
Let t(d) = 2*d**4 - 5*d**2 - 3*d. Let w(k) = 5*k**4 - k**3 - 11*k**2 - 7*k. Let i(l) = -14*t(l) + 6*w(l). Suppose i(p) = 0. What is p?
0, 1, 2
Let f be (-15)/70*(-6)/675. Let b(s) be the third derivative of 0*s**5 + 1/300*s**6 + 0*s**3 + 0*s**4 + f*s**7 + 0*s + s**2 + 0. Factor b(m).
2*m**3*(m + 1)/5
Let t = -61/2 + 31. Solve -4*g**2 + 5/2*g - t + 2*g**3 = 0.
1/2, 1
Let b(k) be the second derivative of k**8/3360 + k**7/630 + k**4/3 - 5*k. Let f(d) be the third derivative of b(d). Let f(w) = 0. What is w?
-2, 0
Let z = -6 + 4. Let y be 8/z*(-7)/4. Factor -7*b**3 + b**2 + 2 - 3*b - 6*b**2 - y*b**2.
-(b + 1)**2*(7*b - 2)
Let v(y) be the third derivative of -y**8/20160 + y**5/60 - 2*y**2. Let c(i) be the third derivative of v(i). Factor c(b).
-b**2
Let t(i) be the first derivative of i**5/5 - 4*i**4/3 + 7*i**3/2 - 9*i**2/2 - 4*i - 4. Let g(f) be the first derivative of t(f). Factor g(z).
(z - 1)*(2*z - 3)**2
Solve -3*u**3 - 18 + 19*u**2 - u**2 + 89*u - 86*u = 0.
-1, 1, 6
Let d = -55/8 + 499/72. Let g(q) be the second derivative of 0 + d*q**4 + 1/60*q**5 + 0*q**3 - 3*q + 0*q**2. Let g(v) = 0. What is v?
-2, 0
Suppose 5*d = 5*c - 30, -c + 0*c - 5*d - 24 = 0. Let u(o) be the first derivative of -1/14*o**4 - 2/21*o**3 + 0*o + c + 1/7*o**2 + 2/35*o**5. Factor u(p).
2*p*(p - 1)**2*(p + 1)/7
Let v = -12 - -22. Let m be (6/(-24))/(v/(-16)). Factor 6/5*d - m*d**2 - 4/5.
-2*(d - 2)*(d - 1)/5
Determine c so that 0 + 1/5*c**5 - 1/5*c**3 + 0*c**2 + 0*c**4 + 0*c = 0.
-1, 0, 1
Let q be 12/(-9)*(-3)/2. Factor -6*k**2 - k**3 + q*k + 4 + 2*k**2 - k**3.
-2*(k - 1)*(k + 1)*(k + 2)
Factor 22*p**2 + 20*p - 16 + 27*p**2 - 53*p**2.
-4*(p - 4)*(p - 1)
Suppose 43*n + 2 = 44*n. Let 0 + 2/3*t**n + 0*t + 1/3*t**4 - t**3 = 0. Calculate t.
0, 1, 2
Let m(u) be the first derivative of -6 + 0*u**2 + 1/9*u**3 - 1/3*u. Factor m(k).
(k - 1)*(k + 1)/3
Let m(i) = -3*i**5 - 6*i**4 + 8*i**2 - 5*i + 5. Let y(z) = 4*z**5 + 6*z**4 - 8*z**2 + 6*z - 6. Let d(w) = -6*m(w) - 5*y(w). Factor d(v).
-2*v**2*(v - 2)**2*(v + 1)
Suppose 7*s - 8 = 3*s. Suppose j - 5 = b, s*b = -3*j - 3 + 8. Solve -12*r**j + 7*r**2 + 0*r + 2*r + r**4 - 8*r**2 + 10*r**5 = 0.
-1, -1/2, 0, 2/5, 1
Let l(j) be the third derivative of 0*j**4 + 0*j + 6*j**2 + 0*j**5 + 0 + 0*j**3 + 1/390*j**6 + 1/2184*j**8 - 1/455*j**7. Factor l(u).
2*u**3*(u - 2)*(u - 1)/13
Let x(z) be the first derivative of -z**4/2 - 5*z**3/3 - 17*z**2/16 - z/4 + 22. Factor x(q).
-(q + 2)*(4*q + 1)**2/8
Let j be (5/(-60)*-4)/1. Let s(q) be the second derivative of 3*q + 1/10*q**5 - q**2 + 1/6*q**4 - j*q**3 + 0. Factor s(k).
2*(k - 1)*(k + 1)**2
Let v(t) be the third derivative of -t**9/10080 + t**8/4480 + t**7/1680 - t**6/480 + t**4/8 - 5*t**2. Let o(k) be the second derivative of v(k). Factor o(h).
-3*h*(h - 1)**2*(h + 1)/2
Suppose 0 = -5*k + 16 - 1. Suppose 4*q - p - 3 = -2*p, -4*q - k*p - 7 = 0. Factor 2*o**2 - o**q - 2*o**2.
-o**2
Let r(y) = y + 8. Let q = -9 + 3. Let v be r(q). Factor 7/4*h**v - 9/4*h + 1/2.
(h - 1)*(7*h - 2)/4
Let g(s) = 2*s + s - s**2 + 2 + 3*s - 3*s. Let y(a) = 3*a**2 - 10*a - 7. Let l(p) = -7*g(p) - 2*y(p). Find d such that l(d) = 0.
0, 1
Factor -3/4 + 1/2*y + 1/4*y**2.
(y - 1)*(y + 3)/4
Let c(z) be the first derivative of z**3/9 + z**2/2 + 2. Determine w, given that c(w) = 0.
-3, 0
Suppose -8 = -2*a - 0*a. Factor 4*d**2 - 3*d**2 - 6*d**4 - 3*d**5 - d**3 + d**a.
-d**2*(d + 1)**2*(3*d - 1)
Let b(a) = a**3 - 5*a**2 + 3*a. Suppose -3*z + 1 = -4*z. Let i(w) = w**2 + w. Let f(p) = z*i(p) - b(p). Factor f(r).
-r*(r - 2)**2
Let y(b) = -b**2 - 6*b + 3. Let l be y(-6). Factor h - h + h**3 + 2*h + l*h**2.
h*(h + 1)*(h + 2)
Let b(m) = -m**3 + m**2 + 9*m - 7. Let v be b(3). Factor 0 + 1/2*z + 1/2*z**v.
z*(z + 1)/2
Let s(v) be the second derivative of v**10/20160 - v**9/6048 + v**8/6720 - v**4/6 + 5*v. Let j(w) be the third derivative of s(w). Factor j(y).
y**3*(y - 1)*(3*y - 2)/2
Let t(m) = -7*m**2 + 6. Let s(w) = -8*w**2 + 7. Let h(f) = 2*s(f) - 3*t(f). Let q(p) = -6*p