) be the second derivative of l**4/66 - 4*l**3/33 - 5*l**2/11 - 24*l. Factor v(j).
2*(j - 5)*(j + 1)/11
Factor -13 + 1 - 3*v**2 + 5*v + 10*v.
-3*(v - 4)*(v - 1)
Let j(p) = 4*p**5 - 4*p**4 - 16*p**3 + 12*p**2 + 12*p - 12. Let q(n) = n**4 - n**2 + 1. Let i(v) = j(v) + 4*q(v). Suppose i(t) = 0. Calculate t.
-2, -1, 1
Suppose 20 = 7*w - 15. Factor -6/7 + 66/7*v**3 + 54/7*v**4 - 9/7*v + 24/7*v**2 + 15/7*v**w.
3*(v + 1)**4*(5*v - 2)/7
Let y = 12 + -9. Suppose 4*i - 12 = o, y*o - 5*i + 1 = -14. Factor 2*c**3 - 4/5*c + 6/5*c**2 + o.
2*c*(c + 1)*(5*c - 2)/5
Factor 12/5*n**2 + 0 + 0*n - 3/5*n**3.
-3*n**2*(n - 4)/5
Let o = 28 - 20. Let 3 + 2*i**2 - 9*i**2 + 4*i - o*i**2 + 1 = 0. What is i?
-2/5, 2/3
Let i = 101/5 - 97/5. Determine x so that i*x + 2*x**4 + 0 + 18/5*x**2 + 24/5*x**3 = 0.
-1, -2/5, 0
Let y(x) = x. Let t(r) = 5*r**2 + 14*r. Let o(q) = t(q) - 4*y(q). Let o(m) = 0. What is m?
-2, 0
Factor 0*a**5 + 3*a**5 - 372*a**4 - a**5 + 370*a**4.
2*a**4*(a - 1)
Suppose -5*m - t + 13 = 0, 4*t = -3*m - 0*t + 18. Let y(w) be the second derivative of 0*w**m + 0 + 1/15*w**3 + w + 1/60*w**4. Factor y(j).
j*(j + 2)/5
Let s(f) be the second derivative of f**5/50 + f**4/30 - 4*f**3/15 - 4*f**2/5 + 8*f. Factor s(u).
2*(u - 2)*(u + 1)*(u + 2)/5
Solve q**3 + 4*q - 5*q**3 + 9*q**4 - 5*q**4 - 2*q**2 - 2*q**2 = 0 for q.
-1, 0, 1
Let s be 4/(-10) - 48/(-20). Factor -q - 6*q**s - 2*q + 6*q.
-3*q*(2*q - 1)
Let b(l) be the third derivative of l**7/420 + l**6/80 + l**5/120 - l**4/16 - l**3/6 + 2*l**2. Factor b(d).
(d - 1)*(d + 1)**2*(d + 2)/2
Let j be -2 + 0 - (2 - 4). Let x(t) be the third derivative of -2/15*t**5 + 5/12*t**4 - 2*t**2 + 1/60*t**6 + j*t + 0 - 2/3*t**3. Let x(s) = 0. Calculate s.
1, 2
Let f(q) be the first derivative of 250*q**6/3 - 120*q**5 - 440*q**4 + 2368*q**3/3 - 480*q**2 + 128*q - 28. Factor f(x).
4*(x - 2)*(x + 2)*(5*x - 2)**3
Let f = -7/62 + 353/930. Let a(j) be the first derivative of 0*j - f*j**3 + 1/10*j**4 + 1/5*j**2 + 1. Factor a(o).
2*o*(o - 1)**2/5
Let n(m) be the third derivative of m**5/360 + 5*m**4/144 + m**3/9 - 6*m**2. Suppose n(k) = 0. Calculate k.
-4, -1
Let k = 4 - 2. Determine u so that -4*u**2 + 4*u**3 - 4*u**3 - k*u**3 - 2*u = 0.
-1, 0
Let l(t) be the first derivative of 2/15*t**3 + 4 + 18/5*t - 6/5*t**2. Factor l(z).
2*(z - 3)**2/5
Let u(o) = o**3 - 11*o**2 + 10*o. Let d be u(10). Let b(v) be the third derivative of 0*v**3 - 2*v**2 + 0*v + 1/60*v**5 + d + 1/36*v**4. Factor b(z).
z*(3*z + 2)/3
Suppose -17*t - 6 = -19*t. Factor -1/5*l**5 + 0*l - 1/5*l**4 + 1/5*l**2 + 0 + 1/5*l**t.
-l**2*(l - 1)*(l + 1)**2/5
Let a be (3 - -9)*12/54. Factor 134*k**2 - 54*k**5 + 186*k**4 + a - 710/3*k**3 - 32*k.
-2*(k - 1)**3*(9*k - 2)**2/3
Let f(c) be the first derivative of -2*c**5/25 - c**4/5 + 2*c**3/15 + 2*c**2/5 - 27. Determine u, given that f(u) = 0.
-2, -1, 0, 1
Suppose m = 4 - 2. Let 6/7 + 8/7*w + 2/7*w**m = 0. What is w?
-3, -1
Factor 9*m**2 + 14*m**2 + 10*m**2 - 27*m - 30*m**2 - 30.
3*(m - 10)*(m + 1)
Factor 4/3*h**2 - 1 + 1/3*h.
(h + 1)*(4*h - 3)/3
Suppose -5*p + 4*i = -8 - 18, -5*p = 3*i + 2. Let v be -3*((2 - 1) + -2). Solve 2*u - u + 4*u**p + u - 2*u**v - 4 = 0 for u.
-1, 1, 2
Let w(m) be the third derivative of -m**5/690 + 4*m**3/69 + 14*m**2. Factor w(b).
-2*(b - 2)*(b + 2)/23
Let l be (-80)/240*2/(10/(-3)). Determine n, given that l*n**2 - 2/5*n - 1/5*n**4 + 0 + 3/5*n**3 - 1/5*n**5 = 0.
-2, -1, 0, 1
Let s(z) = z**2 + 2*z + 2. Let k be s(-2). Determine t so that 3*t**2 - 3*t**k + 0*t**2 - 2*t - 2*t**2 = 0.
-1, 0
Let h(t) be the second derivative of -t**5/30 + 2*t**4/9 - 5*t**3/9 + 2*t**2/3 - 35*t. Factor h(j).
-2*(j - 2)*(j - 1)**2/3
Let x(p) be the first derivative of p**6/6 - p**5/5 - p**4/4 + p**3/3 - 24. Factor x(c).
c**2*(c - 1)**2*(c + 1)
Find n, given that 0 - 3/2*n**5 + 0*n**3 + 3*n**4 + 3/2*n - 3*n**2 = 0.
-1, 0, 1
Let m(q) = -11*q**5 - 5*q**4 + 6*q**2 - 6*q - 6. Let z(b) = 45*b**5 + 20*b**4 - 25*b**2 + 25*b + 25. Let x(f) = -25*m(f) - 6*z(f). Let x(h) = 0. Calculate h.
-1, 0
Suppose 11*t + 17 = 17. Find j such that 1/7*j**2 + t*j - 1/7*j**3 + 0 = 0.
0, 1
Let y be (10 - 0)*2/5. Let i(m) = 4*m**3 - m - 18*m**2 + 18*m**2. Let j(b) = -3*b**3 + b. Let k(g) = y*i(g) + 6*j(g). Determine u, given that k(u) = 0.
-1, 0, 1
Let t(z) be the first derivative of z**5/5 - 3*z**4/4 - 2*z**3/3 + 6*z**2 - 8*z + 13. Let t(v) = 0. What is v?
-2, 1, 2
Let m(f) be the first derivative of 2*f**3/45 + f**2/3 - 4*f/5 - 1. Suppose m(b) = 0. What is b?
-6, 1
Let o(p) be the third derivative of -p**5/180 - p**4/72 - 10*p**2. Suppose o(n) = 0. What is n?
-1, 0
Factor 3*q**4 - 13*q**3 + 2*q**2 + 8*q - 21*q + 21*q.
q*(q - 4)*(q - 1)*(3*q + 2)
Let c(n) be the first derivative of 10*n**5 - 35*n**4 + 46*n**3 - 28*n**2 + 8*n + 9. Factor c(r).
2*(r - 1)**2*(5*r - 2)**2
Let c(k) be the second derivative of k**7/112 + k**6/40 + 3*k**5/160 + 16*k. Factor c(f).
3*f**3*(f + 1)**2/8
Suppose -6*g = 5*g. Determine v so that 0 - 4/3*v**3 + 0*v - 4/3*v**4 - 1/3*v**5 + g*v**2 = 0.
-2, 0
Let d = -26 + 29. Let v(x) be the third derivative of 0*x - 3*x**2 + 1/60*x**6 - 1/12*x**4 + 0*x**5 + 0 + 0*x**d. Find o such that v(o) = 0.
-1, 0, 1
Suppose 2*m = -1 + 5. Let f(l) = -2*l**2 - 3 - m + l - l. Let u(w) = 6*w**2 + 14. Let j(z) = 14*f(z) + 5*u(z). Factor j(p).
2*p**2
Let r = -7 - -10. Suppose 5*f = 2*n + 25, -2*n + r*f = -f + 20. Factor 4*k + 2*k**2 + 1 + n + 1.
2*(k + 1)**2
Let p be (11 + -9)*(-1)/(-5). Suppose 2/5 - p*f**2 - 2/5*f**3 + 2/5*f = 0. What is f?
-1, 1
Let x(q) = -27*q - 20. Let t be x(-9). Factor -12*s**3 + 12*s**4 + 219*s**5 - s**2 + 5*s**2 - t*s**5.
-4*s**2*(s - 1)**3
Factor -9*u**2 + u**3 + 3*u**2 - 8 - 4*u + 8*u**2.
(u - 2)*(u + 2)**2
Let b = 1 - -1. Find x such that -2 + 5*x**b + x - 3*x**2 - x**2 = 0.
-2, 1
Factor 1/5*p**4 - 4/5*p - 4/5*p**3 + 6/5*p**2 + 1/5.
(p - 1)**4/5
Let b = 25 + -35. Let v = b - -5. Let g(z) = 12*z**3 + 16*z**2 - 9*z - 13. Let w(u) = -6*u**3 - 8*u**2 + 4*u + 6. Let j(c) = v*w(c) - 2*g(c). Solve j(y) = 0.
-1, 2/3
Let s be 3 - (615/(-9) + -1). Let v = 73 - s. Let 2/9 - 2/9*w**3 + 2/3*w**2 - v*w = 0. Calculate w.
1
Let v be (-160)/(-144) + 0 + -1. Let k(g) be the second derivative of -g + 1/15*g**5 + 1/6*g**4 + 0*g**2 + 0 + v*g**3. Determine y, given that k(y) = 0.
-1, -1/2, 0
Factor -4 - 5*u + 4*u**4 + 670*u**3 - 662*u**3 - 3*u.
4*(u - 1)*(u + 1)**3
Let b(q) = -324*q**3 + 507*q**2 + 269*q + 32. Let a(d) = -d**2 + d. Let t(h) = 3*a(h) + b(h). Factor t(k).
-4*(k - 2)*(9*k + 2)**2
Suppose -1/2*x**2 + x**3 + 1/2 - 1/4*x**5 - 3/4*x + 0*x**4 = 0. What is x?
-2, -1, 1
Factor -1/2*l**2 - 3/2*l - 1.
-(l + 1)*(l + 2)/2
Let x = -14 - -16. Factor -2 + 4*j**2 + 3 - 7 + x.
4*(j - 1)*(j + 1)
Let n(m) = 3*m**2 - 6*m - 1. Let c(d) = -3*d**2 + 6*d + 2. Let b(u) = 4*c(u) + 5*n(u). Factor b(w).
3*(w - 1)**2
Let d(c) be the third derivative of -c**6/540 + c**5/30 - 2*c**4/9 + 16*c**3/27 + c**2 - 11. Factor d(g).
-2*(g - 4)**2*(g - 1)/9
Let f be 12/42 - (-12)/7. Factor 3*w**4 + 0*w**3 - 6*w**3 + 0*w**2 + 3*w**f.
3*w**2*(w - 1)**2
Let q(s) be the third derivative of 1/60*s**6 - 1/168*s**8 + 1/105*s**7 - 1/30*s**5 + 0 - 4*s**2 + 0*s**3 + 0*s + 0*s**4. Factor q(c).
-2*c**2*(c - 1)**2*(c + 1)
Let c be 1 - ((-1)/(-2) - 1). Let b be (6/4)/((-45)/(-120)). What is f in -f**3 + f**2 + c*f - 1/2*f**5 + 1/2 - 3/2*f**b = 0?
-1, 1
Let i be 1*(5/15 - 3/36). Factor -4*q**2 - 1/2 + 7/2*q**3 + 9/4*q - 3/2*q**4 + i*q**5.
(q - 2)*(q - 1)**4/4
Let p be 30/8 - (-1)/4. Factor 40*o**2 + 1 - 11*o - 40*o**3 + 4*o + 20*o**4 - 13*o - p*o**5 + 3.
-4*(o - 1)**5
Let p(u) be the third derivative of -1/480*u**6 + 0*u + 3*u**2 + 0*u**3 + 0 + 0*u**4 - 1/240*u**5. Factor p(s).
-s**2*(s + 1)/4
Let k(b) be the second derivative of -4*b**5/5 + b**4/3 + 8*b**3/3 - 2*b**2 + 7*b. Let k(w) = 0. Calculate w.
-1, 1/4, 1
Let c be 1/3*(-48)/(-32). Suppose 3/2*r**2 + 1/2*r + 0 + c*r**4 + 3/2*r**3 = 0. Calculate r.
-1, 0
Let t = -12 + 16. Let x(m) be the first derivative of -1/12*m**t - 1/3*m**2 + 0*m + 1/3*m**3 - 1. Factor x(n).
-n*(n - 2)*(n - 1)/3
Suppose 4*h - 6 = -k, 0 = -10*k + 5*k - 10. Factor 1/2*m**h + 1/2 - m.
(m - 1)**2/2
Let f be (4 - 45/10)*0/1. Suppose f*m + 0 - 1/3*m**3 + 0*m**2 = 0. Calculate m.
0
Let u(h) = -h**2 + 2*h - 3*h - 2*h - h**3. Let d(n) = n**3 + n**2 + 4*n. Let k = 30 + -26. L