 Factor f(i).
2*i*(i + 1)
Let x = 8703/16940 + -25/121. Let i = -3/140 + x. Solve 2/7*n**3 - i + 6/7*n - 6/7*n**2 = 0 for n.
1
Let l(k) be the second derivative of k**5/10 - k**4/6 + k**3/9 - k**2 - 4*k. Let o(q) be the first derivative of l(q). Factor o(s).
2*(3*s - 1)**2/3
Let b be 6/(-3) - 1 - -6. Factor 10*h**2 - 125*h**5 - 25*h**4 + 26*h**2 + 90*h**b + 16*h**2 + 8*h.
-h*(h - 1)*(5*h + 2)**3
Suppose -4*v - 11 = 9. Let q(p) = -10*p**4 + 8*p**3 + 7*p**2 - 3*p + 3. Let b(n) = n**3 - n**4 + 0*n**4 + 0 - 2 + 3. Let y(c) = v*b(c) + q(c). Factor y(t).
-(t - 1)**2*(t + 1)*(5*t + 2)
Let d be (-2)/(-3)*7/28. Let p(l) be the second derivative of 0 - 1/3*l**2 + l + 2/15*l**5 - 2/9*l**3 - 4/45*l**6 + d*l**4. Suppose p(m) = 0. Calculate m.
-1/2, 1
Let t be (-4)/((-4)/3) - 2. Let v = 1 + t. Find b such that b + 0 + 6 + b**v - 6 = 0.
-1, 0
Let u(p) be the second derivative of -1/12*p**3 + 0*p**2 + 1/16*p**4 + 7/120*p**6 + 0 + 3/20*p**5 - p. Suppose u(f) = 0. Calculate f.
-1, 0, 2/7
Let y(x) = -3*x**4 + 24*x**2 + 9*x. Let u(i) = i**2 + i. Let b = -16 + 31. Let d(o) = b*u(o) - y(o). Factor d(m).
3*m*(m - 1)**2*(m + 2)
Let f be ((-1)/(-4))/(49/(-5) - -10). Factor g**4 - f*g + g**3 - 1/2 - 1/2*g**2 + 1/4*g**5.
(g - 1)*(g + 1)**3*(g + 2)/4
Let m(c) be the first derivative of -c**6/900 - c**5/300 - c**3 - 2. Let k(q) be the third derivative of m(q). Factor k(g).
-2*g*(g + 1)/5
Suppose 20 = -2*s + 4*a, 0*a + 2*a = 5*s + 10. Let v(g) be the third derivative of 0 - 1/100*g**6 - 3*g**2 + 0*g + s*g**3 - 1/40*g**4 + 3/100*g**5. Factor v(q).
-3*q*(q - 1)*(2*q - 1)/5
Let h be 2/(-9) - 26*(-6)/540. Let x(n) be the second derivative of 2/75*n**6 + 0 + n - 1/105*n**7 + 0*n**2 + 0*n**5 - h*n**4 + 1/15*n**3. Factor x(w).
-2*w*(w - 1)**3*(w + 1)/5
Let y be 2/(-4)*24/(-60). Solve -2/5*q**2 + 0*q**3 + 0*q + y*q**4 + 1/5 = 0 for q.
-1, 1
Let t be 60/9 - (0 - -6). Factor -2/3*c**3 - t*c + 0 + 4/3*c**2.
-2*c*(c - 1)**2/3
Let k(u) be the second derivative of -u**6/60 + u**4/24 - 5*u. Factor k(z).
-z**2*(z - 1)*(z + 1)/2
Let m = 41/21 - 5/3. Suppose -2*j + 6*j = -4*p + 8, 2*j + 3*p - 3 = 0. Factor -4/7*q**2 + m*q + 2/7*q**j + 0.
2*q*(q - 1)**2/7
Let m(h) be the first derivative of -h**4 - 1 - 2*h**2 + 8/3*h**3 + 0*h. Factor m(z).
-4*z*(z - 1)**2
Let u(q) be the second derivative of 0 - 11/70*q**5 + 0*q**2 - 8*q + 1/21*q**6 + 1/6*q**4 - 1/21*q**3. Factor u(j).
2*j*(j - 1)**2*(5*j - 1)/7
Let m(v) = -9*v + 0*v**2 + 0*v + 10 + v**2. Let p be m(8). Solve 1/4*d - 1/4*d**3 + 1/4 - 1/4*d**p = 0 for d.
-1, 1
Let v = 9 - 3. Let h(m) = -4*m**3 - 11*m**2 + 17*m - 17. Let c(r) = -r**3 - 4*r**2 + 6*r - 6. Let x(o) = v*h(o) - 17*c(o). Solve x(l) = 0.
0, 2/7
Let c(w) = 2*w**2 + 2*w + 2. Let d(l) = -l - 1. Let f(p) = p**2 + 9*p + 7. Let j(g) = -6*d(g) - f(g). Let x(z) = 5*c(z) + 6*j(z). What is u in x(u) = 0?
1
Suppose -4*p = r - 6*p + 2, 4*p = 12. Suppose 14 = 2*g - m - m, 0 = r*g - m - 19. Let 0*b**2 - 4*b**4 + 2*b**5 - g*b**5 + 4*b**2 + 0*b + 2*b = 0. Calculate b.
-1, 0, 1
Find b such that 14*b + 9*b**2 - 3*b - 5*b - 3*b**4 + 0*b**4 = 0.
-1, 0, 2
Let s(u) be the first derivative of -u**6/27 - 2*u**5/45 - 15. Solve s(v) = 0 for v.
-1, 0
Let o(m) = m**2 - 10*m + 25. Let g be o(7). Factor 8/3*r**3 + 2/3*r**g + 8/3*r**2 + 0 + 0*r.
2*r**2*(r + 2)**2/3
Let c(r) = r**2 - 6*r - 3. Let m be c(7). Suppose 7 = 5*p - 2*x, 3*p - p - 14 = -2*x. Let -4*o**2 - p*o**4 + 3*o**4 + 2*o**m + 2 = 0. What is o?
-1, 1
Let m(l) be the third derivative of -l**7/630 - l**6/180 + l**4/36 + l**3/18 - 2*l**2. Factor m(q).
-(q - 1)*(q + 1)**3/3
Suppose -10*z + 8*z + 6 = 0. Factor 2 - 6 + z - 3*h**2 - 2*h + 2*h**2.
-(h + 1)**2
Let t(c) = c**2 - 15*c + 26. Let x be t(13). Let x + 1/3*y**4 + 1/3*y + y**3 + y**2 = 0. Calculate y.
-1, 0
Let v(l) be the third derivative of -l**7/5040 + l**6/480 - l**5/120 - l**4/24 - 4*l**2. Let n(g) be the second derivative of v(g). Solve n(p) = 0 for p.
1, 2
Suppose 0 = 3*c - 4*c. Suppose -3*t + 6*t + 2 = 4*z, -4*t - 2 = -5*z. Factor c*b + 1/4 - 1/4*b**z.
-(b - 1)*(b + 1)/4
Let q(d) be the first derivative of -d**6/6 + 2*d**5/5 - 2*d**3/3 + d**2/2 + 9. Find c, given that q(c) = 0.
-1, 0, 1
Suppose -2*t = -v - 36, 3*v = -t + 2*v + 21. Let s = -19 + t. Solve 2/3*h**2 + 0 + s*h = 0.
0
Let z(p) = -p**3 - p**2 - p - 4. Let a(g) = -g**2. Let d(w) = -2*a(w) - 2*z(w). Let l(y) be the first derivative of d(y). Factor l(u).
2*(u + 1)*(3*u + 1)
Let r(i) be the second derivative of 0 - 1/60*i**5 + 0*i**3 + 1/126*i**7 - 4*i - 1/36*i**4 + 1/90*i**6 + 0*i**2. Factor r(m).
m**2*(m - 1)*(m + 1)**2/3
Let l(n) be the third derivative of -4/27*n**3 + 0*n + 7*n**2 - 1/9*n**4 - 1/30*n**5 + 0. Factor l(v).
-2*(3*v + 2)**2/9
Let s(v) be the second derivative of -v**3/6 - v**2 - 4*v. Let n be s(-4). Factor u - 1/2*u**n - 1/2.
-(u - 1)**2/2
Let i be (-3 - -2)*1 + 5. Suppose 0 - 4/11*x**2 - 14/11*x**3 - 10/11*x**i + 0*x = 0. What is x?
-1, -2/5, 0
Factor 44*w**2 - 3*w**3 - 15*w**2 - 23*w**2 + 12*w - 24.
-3*(w - 2)**2*(w + 2)
Determine s so that 0 + 2/3*s**3 + 0*s + 8/3*s**2 = 0.
-4, 0
Let o(d) be the first derivative of d**3/3 - 9*d**2 + 81*d + 21. Solve o(y) = 0.
9
Factor 21 - 12 - 13 - 4 + 8*v**2 + 30*v.
2*(v + 4)*(4*v - 1)
Let c(y) be the second derivative of -y**4/3 + 2*y**3/3 + 35*y. Factor c(p).
-4*p*(p - 1)
Suppose 4*y - 20 = 0, 3*c + 14*y = 9*y + 34. Determine b so that -2/5*b**2 + 1/5*b**4 + 0*b - 1/5*b**c + 0 = 0.
-1, 0, 2
Solve 0*h + 14/11*h**5 + 0 - 10/11*h**4 + 0*h**2 - 4/11*h**3 = 0 for h.
-2/7, 0, 1
Let w(r) = 32*r**4 - 144*r**3 + 189*r**2 - 72*r + 3. Let m(a) = -a**2 - 1. Let c(f) = 5*m(f) - w(f). Factor c(i).
-2*(i - 2)**2*(4*i - 1)**2
Let h(x) = -x**3 + 21*x**2 + 46*x. Let n be h(23). Factor -2/7*f**2 + n - 2/7*f.
-2*f*(f + 1)/7
Let y(p) be the first derivative of p**8/168 + p**7/35 + p**6/20 + p**5/30 + p**2 - 1. Let k(i) be the second derivative of y(i). Factor k(h).
2*h**2*(h + 1)**3
Suppose -3*i + 5*i = 8. Let o = 2 + 1. Factor -3 - o + i + 2*w**3 - 2*w + 2*w**2.
2*(w - 1)*(w + 1)**2
Let p(u) be the first derivative of -3*u**5/4 + 3*u**4 - 9*u**3/2 + 3*u**2 - 4*u - 6. Let b(q) be the first derivative of p(q). Solve b(c) = 0 for c.
2/5, 1
Let x = -1/12 + 11/4. Let -2/3*z**3 - 4/3 - x*z**2 - 10/3*z = 0. Calculate z.
-2, -1
Factor -2 + o**4 - 1 - o**3 - 3 - 7*o**2 + 13*o.
(o - 2)*(o - 1)**2*(o + 3)
Suppose 6 + 14 = 4*v. Let q(x) be the second derivative of -1/3*x**3 - x + 0*x**2 - 1/10*x**v - 1/3*x**4 + 0. Find m such that q(m) = 0.
-1, 0
Let x(v) be the first derivative of v**4/4 + v**3/3 - v**2/2 - v + 40. Suppose x(n) = 0. What is n?
-1, 1
Suppose -3*u = -3 - 6. Let n(h) be the first derivative of 2/9*h - 2/27*h**u - 1/9*h**2 + 1/18*h**4 - 2. Factor n(a).
2*(a - 1)**2*(a + 1)/9
Let j(d) = -d + 1. Let b(p) = p**2 + 3*p - 4. Let v(x) = b(x) + 2*j(x). Suppose v(g) = 0. What is g?
-2, 1
Let y be 1*(4 + -6 - -2). Let k(i) be the third derivative of 0 - 2/3*i**3 - 1/60*i**5 - i**2 + 1/6*i**4 + y*i. Factor k(b).
-(b - 2)**2
Let y(d) be the first derivative of 7*d**5/20 + 23*d**4/8 + 3*d**3 + d**2 + 3. Let a(o) be the second derivative of y(o). Determine j so that a(j) = 0.
-3, -2/7
Find u, given that 5 + 2*u**3 + 2*u - 4 + 4*u**2 - 1 = 0.
-1, 0
Let t = 120 + -25. Let v be (t/35 - -2) + -3. Solve v*m - 18/7 - 2/7*m**2 = 0.
3
Suppose -3*x + 2*x + 2 = 0. Let j be x/(-5) - 14/(-10). Suppose -j + o - o**2 - 4*o + 5*o = 0. Calculate o.
1
Let n = -1599/7 - -229. Suppose -2/7*b**3 + 0 - n*b**2 - 2/7*b = 0. What is b?
-1, 0
Let h(s) = -s**3 + 8*s**2 + 11*s - 16. Let n be h(9). Factor 2/5*p**n + 12/5*p + 18/5.
2*(p + 3)**2/5
Suppose 0 = -4*i - 2*w + 14, -6*w + 12 = 5*i - 9*w. Let 2/5*y**i - 2/5*y**2 + 0*y + 0 = 0. What is y?
0, 1
Let j be (-11)/(66/24) - (0 - 4). Determine n so that -3/2*n + j - 9/4*n**2 = 0.
-2/3, 0
Let h(c) be the second derivative of 4/21*c**3 + 0 + 2*c - 1/42*c**4 - 4/7*c**2. Factor h(z).
-2*(z - 2)**2/7
Determine z so that 27*z + 0*z - 15 + 3*z**2 - 15*z = 0.
-5, 1
Let u(h) be the second derivative of h**7/14 - 3*h**5/10 + h**3/2 + 4*h. Find f, given that u(f) = 0.
-1, 0, 1
Let f(d) be the first derivative of d**9/504 - d**8/120 + d**7/84 - d**6/180 - 4*d**3/3 - 1. Let g(s) be the third derivative of f(s). Factor g(p).
2*p**2*(p - 1)**2*(3*p - 1)
Let k(z) = z**2 + 3*z - 2. Let l be k(-4). Fa