3/2 - 2/4. Let r(b) = b**3 + 5*b**2 - b - 3. Let p be r(-5). Factor y - 6*l**p + 2*l - 1.
-2*l*(3*l - 1)
Find r, given that 1/3*r**4 - 1 + 2/3*r**2 - 1/3*r**5 + 2*r**3 - 5/3*r = 0.
-1, 1, 3
Suppose 0 = -11*z + 2*z + 18. Determine u, given that 0*u**3 + 2/5*u**5 + 4/5*u**z - 2/5*u - 4/5*u**4 + 0 = 0.
-1, 0, 1
Let z(j) be the first derivative of -4*j**5/5 + 3*j**4 - 4*j**3 + 2*j**2 + 6. Factor z(n).
-4*n*(n - 1)**3
Let f(n) be the first derivative of -n**6/300 + n**5/50 - n**4/30 - 3*n**2/2 + 3. Let t(r) be the second derivative of f(r). Factor t(i).
-2*i*(i - 2)*(i - 1)/5
Let f(t) = -5*t**4 + 8*t**2 - 3*t - 3. Let n(w) = 5*w**4 - 9*w**2 + 4*w + 4. Let u(q) = 4*f(q) + 3*n(q). What is b in u(b) = 0?
-1, 0, 1
Let c be 18/(-135) + (-22)/15*-1. Solve 0*w**2 - c*w**4 + 1/3*w**3 + w**5 + 0 + 0*w = 0 for w.
0, 1/3, 1
Suppose -4*a - k - 87 = 2*k, -2*k = -4*a - 62. Let h = a - -20. Factor -1/3*x**3 + 2/3*x**h + 1/3*x - 2/3.
-(x - 2)*(x - 1)*(x + 1)/3
Suppose -2*g + 2 = -6. Let a(j) = j - 2. Let n be a(g). Factor -1 + 1 + 0 - p - p**3 + 2*p**n.
-p*(p - 1)**2
Factor -150*y + 500 + 15*y**2 - 1/2*y**3.
-(y - 10)**3/2
Factor 0 - 3/2*w**2 - 1/2*w**4 - 1/2*w - 3/2*w**3.
-w*(w + 1)**3/2
Factor -1/3 - 1/6*z**2 - 1/2*z.
-(z + 1)*(z + 2)/6
Let i(y) be the first derivative of -y**6/40 - y**5/16 - y**4/24 - 4*y - 3. Let t(s) be the first derivative of i(s). Let t(m) = 0. What is m?
-1, -2/3, 0
Let u be (-11)/(-2) - 0 - (-59 - -61). Suppose -1 + u*d - 9/2*d**2 - 1/2*d**4 + 5/2*d**3 = 0. Calculate d.
1, 2
Let x(h) be the third derivative of -1/12*h**4 + 0*h + 0 + 1/90*h**5 + 2/9*h**3 - h**2. Factor x(r).
2*(r - 2)*(r - 1)/3
Let b(u) be the third derivative of -u**8/3360 + u**7/630 - u**6/360 - u**4/24 - u**2. Let i(l) be the second derivative of b(l). Factor i(t).
-2*t*(t - 1)**2
Let w be 165/297 + 2 + 40/(-18). Factor -2/3*d**4 + 0*d - w*d**3 + 1/3*d**5 + 0 + 2/3*d**2.
d**2*(d - 2)*(d - 1)*(d + 1)/3
Let t be 1/(-2)*-14*-2. Let g = 22 + t. Factor 8 - g*x - 3*x**2 + 0*x + 5*x**2.
2*(x - 2)**2
Let x(s) be the first derivative of 2/3*s**3 - 4/3*s - 2/15*s**5 + 1/6*s**4 - 3 - 1/3*s**2. Determine f, given that x(f) = 0.
-1, 1, 2
Let p = -3/302 - 25/12684. Let q = p - -341/420. Factor 0 - q*w - 8/5*w**3 + 2*w**2 + 2/5*w**4.
2*w*(w - 2)*(w - 1)**2/5
Suppose 3*w + 16 = w. Let z be 48/45*(-12)/w. Solve 0 + 8*j**2 + 10*j**3 + z*j = 0.
-2/5, 0
Let z = 6 + -5. Let p(u) = -6*u**5 - 6*u**4 + 2*u**3 + 2*u**2 + 4*u - 4. Let r(b) = b**5 - b**3 + b**2 + 1. Let t(x) = z*p(x) + 4*r(x). Let t(a) = 0. What is a?
-2, -1, 0, 1
Let p(g) be the second derivative of 0*g**3 - 3*g - 1/165*g**6 + 0*g**4 + 0*g**2 + 0 + 1/110*g**5. Find w, given that p(w) = 0.
0, 1
Let 7/4*i**5 + 0 + 1/2*i**3 + 9/4*i**4 + 0*i**2 + 0*i = 0. Calculate i.
-1, -2/7, 0
Let m(s) be the second derivative of s**6/120 + 7*s**5/80 + 17*s**4/48 + 17*s**3/24 + 3*s**2/4 + 2*s - 20. Factor m(i).
(i + 1)**2*(i + 2)*(i + 3)/4
Let t(f) be the first derivative of 3*f**4/32 + f**3/2 + 3*f**2/4 + 9. Factor t(y).
3*y*(y + 2)**2/8
Let f be (2 + -5)/(3/(-2)). What is t in -36*t**3 - 23*t**4 - 33*t**4 - 4*t + 10*t**3 + 26*t**f = 0?
-1, 0, 1/4, 2/7
Let w(z) be the third derivative of 1/200*z**6 + 1/100*z**5 + 0*z + 0 + 2*z**2 - 1/40*z**4 - 1/10*z**3. Factor w(s).
3*(s - 1)*(s + 1)**2/5
Suppose 4*j - 5*j = 0. Suppose j = -k - 2*k. Factor -5/4*h**3 - 1/4*h**2 - h**4 + 0 + k*h.
-h**2*(h + 1)*(4*h + 1)/4
Find t such that 4*t - 4 + 4*t**3 - 4*t**3 - 2*t**2 - 4*t**3 + 6*t**2 = 0.
-1, 1
Let c be 4 - 1/((-984)/(-4198)). Let u = -2/123 - c. Solve u*l + 0 - 1/4*l**2 = 0.
0, 1
Factor 4 + 0 - 13*k**2 - 5 + 14*k**2.
(k - 1)*(k + 1)
Let a(u) be the second derivative of -3*u**6/20 - 3*u**5/10 - u**4/8 - 20*u. Solve a(b) = 0.
-1, -1/3, 0
Let t(r) = -5*r**2 - 8*r - 2. Suppose u + 1 = 3. Let h(q) = -18*q**2 - 3*q**2 + 135*q - 9 - 168*q. Let m(b) = u*h(b) - 9*t(b). Factor m(n).
3*n*(n + 2)
Let g(v) be the first derivative of v**4 + 8*v**3/3 + 2*v**2 - 15. Factor g(n).
4*n*(n + 1)**2
Suppose 0 = 2*w + 4 - 2. Let p be 0/(w + 2 + -3). Factor -1/4*t**4 + 0 + p*t - 1/4*t**2 + 1/2*t**3.
-t**2*(t - 1)**2/4
Let o = -5 + 10. Suppose -4*r + 12 = 2*f - 0*f, -o*f - 3*r = -16. Determine s, given that s**3 - 4*s**2 - f*s**3 + 2*s**5 - 5*s**3 = 0.
-1, 0, 2
Let o(k) = 6*k**2 + 12*k + 36. Let c(r) = -r**2 + 7*r + 29. Let u(y) = 2*y**2 - 6*y - 28. Let l(i) = -7*c(i) - 6*u(i). Let x(h) = 4*l(h) + 3*o(h). Factor x(z).
-2*(z + 4)**2
Suppose -4*z = 4 - 4. Factor 1/3*n**4 - 1/3*n**2 + 1/3*n**3 + z - 1/3*n.
n*(n - 1)*(n + 1)**2/3
Let x(j) be the third derivative of 2*j**2 - 1/30*j**5 + 0 + 0*j + 1/36*j**4 + 1/60*j**6 + 0*j**3 - 1/315*j**7. Factor x(g).
-2*g*(g - 1)**3/3
Factor -4/15*i**3 + 0*i + 0 + 2/15*i**5 - 2/15*i**4 + 0*i**2.
2*i**3*(i - 2)*(i + 1)/15
Factor -10/7*i**4 + 2/7*i**5 - 2*i**2 + 18/7*i**3 + 4/7*i + 0.
2*i*(i - 2)*(i - 1)**3/7
Let j(g) be the first derivative of -1 + 0*g**4 + 1/2*g**2 + 0*g + 0*g**3 + 1/300*g**6 + 1/150*g**5. Let y(s) be the second derivative of j(s). Factor y(b).
2*b**2*(b + 1)/5
Suppose -3*l - 5 = 5*v, -4*v + 5 - 9 = 4*l. Factor 0*z + l*z**3 + 1/4 + 1/4*z**4 - 1/2*z**2.
(z - 1)**2*(z + 1)**2/4
Let p(z) be the second derivative of -z**7/1050 + z**5/50 - z**4/15 - z**3/3 + z. Let u(h) be the second derivative of p(h). Factor u(j).
-4*(j - 1)**2*(j + 2)/5
Let z(h) be the third derivative of h**7/280 - h**6/360 - h**5/15 - h**4/6 - 7*h**3/6 - 6*h**2. Let t(j) be the first derivative of z(j). Factor t(x).
(x - 2)*(x + 1)*(3*x + 2)
Let x(c) = -c**2 + 5*c - 1. Let p be x(4). Let q(j) be the third derivative of 3*j**2 + 5/12*j**4 - 2/3*j**p + 0*j + 0 - 1/10*j**5. Factor q(y).
-2*(y - 1)*(3*y - 2)
Let b(t) = t**3 - t**2 - 1. Let j(s) = 5*s**3 - 5*s - 6. Let x(o) = 4*b(o) - j(o). Let m be x(-5). Factor -3*f**3 + f**3 + 2*f**m + f - f**3.
-f*(f - 1)*(3*f + 1)
Let g(m) = 26*m**4 - 6*m**3 + 6*m**2 - 26*m + 16. Let k(j) = 5*j**4 - j**3 + j**2 - 5*j + 3. Suppose -d = 3*d - 12. Let b(y) = d*g(y) - 16*k(y). Factor b(n).
-2*n*(n - 1)*(n + 1)**2
Let g be (6/(-7))/((-4)/(-28)). Let n be -1 - (-1 + g/9). Find l, given that -2*l**4 + 2/3*l**5 + n - 2*l + 4/3*l**3 + 4/3*l**2 = 0.
-1, 1
Let y be 12/(-3)*7/(-4). Suppose 0 = f + r - 5, -4*f = 2*r - 9 - y. Factor w**2 - 5*w**f - 1 + 0*w**3 - w + 6*w**3.
(w - 1)*(w + 1)**2
Let o(h) be the first derivative of -h**6/240 + h**5/120 + 5*h**4/48 + h**3/4 - 4*h**2 + 8. Let y(d) be the second derivative of o(d). Let y(k) = 0. What is k?
-1, 3
Let k = 20 - 20. Let t(r) be the first derivative of k*r + 0*r**2 - 1 - 1/6*r**3 + 1/8*r**4. Find i such that t(i) = 0.
0, 1
Let u(s) be the third derivative of s**6/90 - s**5/12 + s**4/6 - s**3/3 + s**2. Let m(j) be the first derivative of u(j). Suppose m(z) = 0. Calculate z.
1/2, 2
Let l(r) be the third derivative of 0 + 2*r**2 - 3/4*r**4 - 4/15*r**6 + 0*r**3 + 0*r - 4/5*r**5. Let l(d) = 0. What is d?
-3/4, 0
Let r be (-9)/6*-1 - 10/(-4). Suppose 4*q - 2*l = 16, 2*q - 2*l = -3*l + 4. Solve 2/7 + 10/7*g**q - 10/7*g + 6/7*g**2 - 8/7*g**r = 0.
-1, 1/4, 1
Let l be 4/6 + 78/(-9). Let j be 12/(-45)*12/l. Factor -6/5*h**4 + 0*h + 0 - j*h**2 + 6/5*h**3 + 2/5*h**5.
2*h**2*(h - 1)**3/5
Let g(f) be the third derivative of f**7/70 - f**6/8 + 7*f**5/20 - 3*f**4/8 - 3*f**2. Let g(y) = 0. Calculate y.
0, 1, 3
Let w = -9 - -13. Determine k, given that -2*k**2 - k**4 + w*k**2 + 4*k**2 - 5*k**2 = 0.
-1, 0, 1
Let r = 490 - 3422/7. Find y such that 0 + 2/7*y - r*y**3 - 6/7*y**2 = 0.
-1, 0, 1/4
Suppose -3*t - 6 = -4*t. Factor -t + 2*h**2 + 2*h**2 + 3*h - 4*h**2 + 3*h**2.
3*(h - 1)*(h + 2)
Let n(j) = 17*j**2 - 58*j - 15. Let h(a) = -220*a**2 + 755*a + 195. Let l(z) = -3*h(z) - 40*n(z). Factor l(m).
-5*(m - 3)*(4*m + 1)
Let r be ((-9)/(-15) - 3/5)/(-1). Suppose r - 2/3*y**2 - 2/3*y = 0. Calculate y.
-1, 0
Let w(h) = 15*h**2 + 38*h + 7. Let y(z) = 10*z**2 + 25*z + 5. Let u(q) = 5*w(q) - 8*y(q). Factor u(b).
-5*(b + 1)**2
Factor 17 - 25 + 8 + 1944*p**3 + 2916*p**4 + 32*p + 432*p**2.
4*p*(9*p + 2)**3
Suppose 5 = -j + 3*a - 2, -j - 4*a = -14. Let k = j - -1. Determine d so that 2/7*d**4 + 16/7 + 2*d**k + 36/7*d**2 + 40/7*d = 0.
-2, -1
Let d = 15 + -10. Let t(k) be the second derivative of -5/48*k**4 + 1/4*k**2 - k + 0 + 1/80*k**d - 1/24*k**3 + 1/40*k**6. Factor t(m).
(m - 1)*(m + 1)**2*(3*m - 2)/4
Let o(j) be the t