pose -57 = 5*o - 77. Factor -2/5*z**2 + 2/5*z + 0 - 2/5*z**3 + 2/5*z**o.
2*z*(z - 1)**2*(z + 1)/5
Let c(d) be the third derivative of -d**7/90 + d**6/180 + 7*d**5/180 - d**4/36 - 8*d**2. Factor c(j).
-j*(j - 1)*(j + 1)*(7*j - 2)/3
Factor -20/7 - 76/7*x**2 + 2/7*x**5 - 32/7*x**3 - 66/7*x + 0*x**4.
2*(x - 5)*(x + 1)**3*(x + 2)/7
Let t(a) be the second derivative of -a**7/98 + a**6/35 - a**4/14 + a**3/14 - 6*a. Factor t(m).
-3*m*(m - 1)**3*(m + 1)/7
Let s(d) = -d**3 - 6*d**2 - 5*d - 2. Let v be s(-5). Let f = 4 + v. Factor 2*p + 4*p**2 + p**3 - f*p**2 - 3*p**3 - 2*p**4.
-2*p*(p - 1)*(p + 1)**2
Determine u so that -32/3 - 52/3*u - 2/3*u**3 - 22/3*u**2 = 0.
-8, -2, -1
Let h be 16/120 + 1/5*1. Factor 0*w - h*w**2 + 1/3.
-(w - 1)*(w + 1)/3
Factor -2*z**2 + 23*z - 8*z + 0*z - 7*z - 8.
-2*(z - 2)**2
Let q(d) = d**2 + d - 4. Let c be q(-3). Find z such that 1 - c*z - 6 + 4*z**2 + 3 = 0.
-1/2, 1
Find p such that 2*p - 5*p**2 + 3*p**3 + 4*p**2 + 0*p**3 - 4*p**3 = 0.
-2, 0, 1
Let n(u) be the third derivative of -u**7/1890 - 7*u**6/1620 - u**5/135 + u**4/27 + u**3/6 - 4*u**2. Let m(x) be the first derivative of n(x). Factor m(l).
-2*(l + 2)**2*(2*l - 1)/9
Suppose -n = -2*n - 3*n. Let l(f) be the second derivative of -2*f - 1/12*f**4 + 0*f**3 + 1/30*f**6 - 1/42*f**7 + n*f**2 + 0 + 1/20*f**5. Factor l(o).
-o**2*(o - 1)**2*(o + 1)
Suppose -5*p = a - 2*a + 15, -a + p = -3. Let i be (0 + a)/(1*-1). Factor 2/5*x**2 + 2/5*x**3 + i + 0*x.
2*x**2*(x + 1)/5
Factor 2/9*y**2 + 2/9 - 4/9*y.
2*(y - 1)**2/9
Let s(p) = p - 1 + 2*p + p**2 - 4*p. Let o(x) = -x**3. Let l(t) = 2*o(t) - 2*s(t). Factor l(g).
-2*(g - 1)*(g + 1)**2
Suppose -2*t = -3*g + 7, -g - 2*t = -5*t. Let q(x) = -x**2 - 13*x - 8. Let a be q(-12). Factor 0 + 0*u**4 + 11*u**g + 2 + 3*u**a + 9*u + 15*u**2 + 0.
(u + 1)**3*(3*u + 2)
Let q(s) = -2*s**3 + 8*s**2 + 7*s + 15. Let d be q(5). Solve 2/3*y - 1/3*y**2 + d = 0.
0, 2
Let b(d) be the first derivative of 4*d**5/5 + 2*d**4 - 4*d**2 - 4*d - 6. Factor b(x).
4*(x - 1)*(x + 1)**3
Suppose 0 = -3*f - 5*m + 44, 0 = -3*f - m + 5*m + 35. Let p = f - 9. Let 1/2*c**3 + 0*c + 1/4*c**2 + 0 + 1/4*c**p = 0. What is c?
-1, 0
Let j(m) = 2*m**2 + 23*m + 14. Let i be j(-11). Solve 0*y - 2/7*y**i - 2/7*y**2 + 0 = 0 for y.
-1, 0
Suppose 5*z - 6 = 2*z. Suppose -2*a = -5*j, 6*a = a - 4*j + 33. Determine u, given that -3*u**4 - u**3 + z*u**3 - u**4 + 4*u**a = 0.
0, 1/2
Let m(o) be the third derivative of 0*o**3 - 1/1344*o**8 + 1/96*o**4 + 0*o**6 + 1/420*o**7 + 0 - 1/120*o**5 + 0*o - o**2. Find t such that m(t) = 0.
-1, 0, 1
Factor 2*y**4 - 6*y**3 + 14*y**3 + 16*y**2 + 26*y**3 - 2 + 7*y**5 - y + 24*y**4.
(y + 1)**4*(7*y - 2)
Let l(c) be the first derivative of c + 0*c**2 + 1/5*c**5 + 2 - 7/12*c**4 - 1/3*c**3. Let u(j) be the first derivative of l(j). Determine h so that u(h) = 0.
-1/4, 0, 2
Let u(s) = 2*s - 4. Let h be u(4). Let l(x) = -x**3 - 7*x**2 + x - 7. Let a(t) = t**3 + 4*t**2 - t + 4. Let w(c) = h*l(c) + 7*a(c). Find d, given that w(d) = 0.
-1, 0, 1
Let r be 5/12 - 7/(210/5). Factor -1/4*i**2 - 1/4*i**3 + r + 1/4*i.
-(i - 1)*(i + 1)**2/4
Determine d, given that 0 + 14/3*d**4 + 2/3*d**2 + 11/3*d**3 + 0*d = 0.
-1/2, -2/7, 0
Let s = -14 - -74/5. Suppose -2/5*z + s*z**3 - 4/5 - 2/5*z**5 - 4/5*z**4 + 8/5*z**2 = 0. What is z?
-2, -1, 1
Let h = -122 + 122. Factor -8/5*p**3 + 16/5*p**4 + 2*p**5 + h + 0*p**2 + 0*p.
2*p**3*(p + 2)*(5*p - 2)/5
Let r = 7/15 + -1/15. Let q be ((-3)/(-6))/(10/8). Factor q - r*l**2 + 0*l.
-2*(l - 1)*(l + 1)/5
Let q(z) be the second derivative of 3*z**5/80 - z**4/4 + 5*z**3/8 - 3*z**2/4 + 15*z. What is j in q(j) = 0?
1, 2
Let w(n) be the first derivative of -2*n**3/3 - 4*n**2 - 8*n - 6. Find a, given that w(a) = 0.
-2
Suppose -80*f**2 - 8*f**4 - f**5 + 17*f + 10 + 39*f**2 + 39*f**2 - 16*f**3 = 0. Calculate f.
-5, -2, -1, 1
Suppose 2*b - 10 = -3*b. Let -z**b - z**2 - 2*z**2 + 3*z**2 + 4*z - 4 = 0. What is z?
2
Let b(v) be the first derivative of 1/12*v**3 + 2 - 1/4*v + 0*v**2. Solve b(p) = 0 for p.
-1, 1
Let l be -4*(-14)/(-12)*-3. Let p be -6*(3 - l/4). Determine x, given that 2/5 - 2/5*x**2 - 2/5*x + 2/5*x**p = 0.
-1, 1
Let b(y) be the second derivative of -y**4/60 + y**3/30 + y**2/5 + 4*y. Determine m so that b(m) = 0.
-1, 2
Let x(z) = -z**3 + 6*z**2 + 7*z - 7. Let v be x(7). Let a be v/(-6)*8/14. Factor -a*q + 0 - 4/3*q**2 - 2/3*q**3.
-2*q*(q + 1)**2/3
Let i = 519 - 1570/3. Let x = i + 14/3. Solve 2/3*y - 1/3 - x*y**2 = 0 for y.
1
Let y(r) = r**2 - 8*r + 10. Let m be y(7). Suppose 0 = -2*z + l + 4, 3*l = m*z - 2*z - 2. Factor 4/5 + 2*o**z + 14/5*o.
2*(o + 1)*(5*o + 2)/5
Factor -2/11*d**3 - 6/11*d + 10/11*d**2 - 18/11.
-2*(d - 3)**2*(d + 1)/11
Let z = 9 + -6. Suppose 0*c**3 - c**z + 0 + 2 + 3*c = 0. Calculate c.
-1, 2
Factor 2/3*c - 1 + 1/3*c**2.
(c - 1)*(c + 3)/3
Let -6/5*x - 36/5 + 6/5*x**3 + 36/5*x**2 = 0. What is x?
-6, -1, 1
Let q(l) = 33*l**2 + 76*l - 29. Let h(k) = -32*k**2 - 76*k + 28. Let n(r) = 5*h(r) + 4*q(r). Factor n(m).
-4*(m + 3)*(7*m - 2)
Let q(k) be the third derivative of -k**5/90 + k**4/6 - 5*k**3/9 + 2*k**2. Find u, given that q(u) = 0.
1, 5
Let d(g) be the third derivative of -g**7/840 - g**6/60 - g**5/10 - g**4/3 - 2*g**3/3 - 5*g**2. Factor d(l).
-(l + 2)**4/4
Let t(c) = -4*c**2 - 7*c - 8. Let h(v) = -v**2 - 2*v - 2. Let m(g) = -9*h(g) + 2*t(g). Let x be m(-4). Factor -13 + 2*j**2 + x*j**3 + 13 - 2*j**5 - 2*j**4.
-2*j**2*(j - 1)*(j + 1)**2
Let f(v) be the third derivative of v**6/24 - 19*v**5/12 + 165*v**4/8 - 135*v**3/2 - 45*v**2. Factor f(z).
5*(z - 9)**2*(z - 1)
Let c(l) = 4*l**4 - 6*l**3. Let k(h) = -21*h**4 + 31*h**3 + h**2. Let i(z) = 22*c(z) + 4*k(z). Determine m, given that i(m) = 0.
0, 1
Let j(n) = 8*n**2 + 71*n - 4. Let l be j(-9). Determine h so that -4/9*h**4 + 4/9*h**2 + 2/9*h - 2/9*h**l + 0 + 0*h**3 = 0.
-1, 0, 1
Suppose u + 6 = 6. Factor 2*q**3 + 2/3*q**5 + u - 2*q**4 + 0*q - 2/3*q**2.
2*q**2*(q - 1)**3/3
Let q be (-2 + (-9)/(-6))/(4/(-24)). Find i such that 1/3*i**2 + 0*i + 0 + 1/3*i**q = 0.
-1, 0
Let i = -279 + 5581/20. Let l(h) be the third derivative of 0*h + 0*h**3 - i*h**6 + 1/6*h**4 + 2*h**2 + 1/30*h**5 + 0. Factor l(k).
-2*k*(k - 1)*(3*k + 2)
Let a(m) be the first derivative of -m**4/34 + 4*m**2/17 + 57. Find p, given that a(p) = 0.
-2, 0, 2
Let k(p) be the first derivative of p**6/3 - 14*p**5/5 + 5*p**4 + 4*p**3/3 - 11*p**2 + 10*p + 38. Factor k(n).
2*(n - 5)*(n - 1)**3*(n + 1)
Suppose -1 + 51 = 10*d. Let v(t) be the second derivative of 0*t**2 + 0*t**6 + 1/126*t**7 + t - 1/60*t**d + 0*t**4 + 0*t**3 + 0. Factor v(c).
c**3*(c - 1)*(c + 1)/3
Suppose 5*h - 3*h = 8. Determine k, given that 4*k**4 + 2*k**2 + h*k - 4*k**3 - 2*k**4 - 4*k**2 = 0.
-1, 0, 1, 2
Let t(q) = 35*q**3 - 131*q**2 + 53*q + 5. Let u(g) = 88*g**3 - 328*g**2 + 132*g + 12. Let f(c) = 12*t(c) - 5*u(c). Factor f(i).
-4*i*(i - 3)*(5*i - 2)
Let r(f) be the third derivative of -f**5/480 + 5*f**4/192 + f**3/8 + 10*f**2 + 2. Factor r(n).
-(n - 6)*(n + 1)/8
Suppose 2*p - 12 = -p. Suppose -p*j = -11 - 9. Factor -3*g**2 - 5*g**2 + 12*g**3 + 13*g**j + 2*g - 8*g**4 - 11*g**5.
2*g*(g - 1)**4
Let i = 10 - 8. Let d = 226/165 - 2/55. Suppose 0 + 2*q**3 + 0*q + 10/3*q**4 - d*q**i = 0. What is q?
-1, 0, 2/5
Let d be 27/(-18)*(-4)/21. Suppose 0 - d*x**2 + 0*x - x**3 = 0. What is x?
-2/7, 0
Let a(l) = 350*l**3 - 314*l**2 + 36. Let d(c) = -350*c**3 + 315*c**2 - c - 36. Let s(m) = 5*a(m) + 6*d(m). Factor s(v).
-2*(5*v - 3)**2*(7*v + 2)
Let z be (-14)/42 - (-11)/30. Let c(x) be the third derivative of 0*x**4 + 1/3*x**3 + x**2 - z*x**5 + 0 + 0*x. Factor c(b).
-2*(b - 1)*(b + 1)
Let h(u) be the second derivative of 1/60*u**4 - 1/100*u**5 + 0*u**3 + u + 0*u**2 + 0. Factor h(x).
-x**2*(x - 1)/5
Let s(u) = -u - 1. Let o be s(-6). Let p be (-2)/o + (-240)/(-100). Solve 1/2*c**3 - 1/4 + 3/4*c**4 + 1/4*c**5 - 3/4*c - 1/2*c**p = 0.
-1, 1
Let j(z) = 3*z**2 - 6*z + 14. Let v(f) = -f**2 - 6 + 2*f - 4*f**2 + 1 + 4*f**2. Let m(h) = 4*j(h) + 11*v(h). Solve m(a) = 0.
1
Let j(k) = -k**3 - k**2 + 13. Let o be j(0). Suppose -3*u - 1 = -o. Solve -z**2 - 2*z**4 + u*z**4 - z**2 = 0 for z.
-1, 0, 1
Let b(v) = 3*v**4 + 43*v**3 + 22*v**2 - 7*v - 11. Let p(f) = f**4 - f**3 + f + 1. Let a(n) = 2*b(n) + 22*p(n). Find w, given that a(w) = 0.
-1, -2/7, 0
Let f(v) be the third derivative of v**7/420