k(b) be the first derivative of -9 + 1/2*b**2 + 1/3*b**3 + 0*b. Factor k(f).
f*(f + 1)
Let o(l) = 20*l**2 - 56*l - 1. Let m(p) = -4*p**2 - 6 + 11*p + 5 + 1. Let g(x) = -33*m(x) - 6*o(x). Factor g(u).
3*(u - 2)*(4*u - 1)
Let w(g) be the second derivative of -g**4/21 + 16*g**3/21 - 2*g**2 - 5*g - 7. Factor w(z).
-4*(z - 7)*(z - 1)/7
Let q(l) be the first derivative of l**5/30 - 47*l**4/24 + 85*l**3/2 - 1575*l**2/4 + 1125*l + 54. Suppose q(i) = 0. Calculate i.
2, 15
Let a(z) be the third derivative of 4*z**5/5 - 65*z**4 + 4225*z**3/2 - 242*z**2. Factor a(t).
3*(4*t - 65)**2
Factor 17*u - 5*u + 1288 + 8*u - 2*u**2 - 1588 + 7*u**2.
5*(u - 6)*(u + 10)
Factor -176/5*h + 54/5*h**2 + 24 + 2/5*h**3.
2*(h - 2)*(h - 1)*(h + 30)/5
Let v be 4/(-10) + (-936)/(-40). Factor -16*t - 16 + 7*t - 20*t**2 - 4*t**3 - v*t.
-4*(t + 1)*(t + 2)**2
Let n be (3*-2 + 2)*(3 + -4). Solve -16*p**2 + 14*p**3 - 20*p**4 + 28*p**3 - 10*p**3 + n*p**5 = 0 for p.
0, 1, 2
Let j(d) be the first derivative of 3*d**5/35 + d**4/7 - 2*d**3/3 + 2*d**2/7 + 3*d/7 - 198. Determine w so that j(w) = 0.
-3, -1/3, 1
Let g be ((-560)/672 - (2 + 7/(-3)))*-3. Factor -1/2*d**4 - 2*d - g*d**2 + 2*d**3 + 2.
-(d - 2)**2*(d - 1)*(d + 1)/2
Suppose 10*v - 95 = -45. Let d(h) be the second derivative of 0*h**2 + 0 - 4*h - 4/3*h**4 + 3/10*h**v + 4/3*h**3. Find p such that d(p) = 0.
0, 2/3, 2
Determine l so that -4/5*l**2 + 2*l + 104/5 = 0.
-4, 13/2
Let i be (-45100)/(-15375) - (0 + (-2)/5). Find k such that 5/3*k**3 + 6*k**2 - 11*k + i = 0.
-5, 2/5, 1
Let h = -1708 - -1708. Suppose 18*t**2 - 27/4*t**3 + h - 12*t + 3/4*t**4 = 0. What is t?
0, 1, 4
Let x(m) be the second derivative of 0*m**2 + 1/6*m**3 + 5/24*m**4 - 14*m + 0 + 1/40*m**5 - 1/30*m**6. Factor x(y).
-y*(y - 2)*(y + 1)*(2*y + 1)/2
Suppose -5 = -k + 26. Suppose 0 = 29*a - k*a - 18. Let b(t) = t**2 + t. Let u(j) = 4*j**2 + 4*j. Let s(o) = a*b(o) + 2*u(o). Solve s(n) = 0.
-1, 0
Let b = 8/57 + -591/4256. Let u(w) be the third derivative of -2*w**2 + 1/48*w**4 + 1/210*w**7 + 0 - 1/60*w**5 + 0*w - b*w**8 + 0*w**6 + 0*w**3. Factor u(i).
-i*(i - 1)**3*(i + 1)/2
Let p be 3/(42/(-4)) - (-492)/(-42). Let m be (30/(-25))/(p/40). Factor 2/3*a**5 + 0*a**2 + 2/3*a**m + 0*a + 0*a**3 + 0.
2*a**4*(a + 1)/3
Find h, given that -90/11*h - 42/11*h**2 - 46/11 + 2/11*h**3 = 0.
-1, 23
Let d be 638/3 - (-4)/12. Let j = d + -1061/5. Factor -54/5*p**3 + 0 - 14/5*p**5 - j*p - 46/5*p**4 - 26/5*p**2.
-2*p*(p + 1)**3*(7*p + 2)/5
Let m be (42/12)/((-2)/(0 + -4)). Let 4*y**2 + 5*y**3 - 5*y**2 + 1079*y**5 - m*y**4 - 1076*y**5 = 0. What is y?
0, 1/3, 1
Suppose b = -b + 12. Suppose 4*o - u - 18 = 0, -b = 2*o + 3*u - 22. Factor -7*r**o - 4*r - 6*r**3 - r**4 - r**4 + 9*r**5 + 10*r**2.
2*r*(r - 1)**3*(r + 2)
Let r(b) be the third derivative of b**5/210 - 13*b**4/21 - 36*b**3/7 + 753*b**2. Factor r(m).
2*(m - 54)*(m + 2)/7
Let h = -1695 - -1697. Let g(t) be the first derivative of 1/2*t**3 - h*t + 0*t**2 + 1/8*t**4 - 1. Solve g(i) = 0.
-2, 1
Let s(h) = 8*h**2 - 4. Let o be s(-2). Suppose 2*a - 3*p - o = p, a + 3*p - 14 = 0. Factor -16*w + 14 - a - 3*w**3 + 7*w**3.
4*w*(w - 2)*(w + 2)
Let h(t) be the first derivative of 28/15*t**3 - 10 + 2*t**2 - 8/5*t. Solve h(d) = 0 for d.
-1, 2/7
Factor -1/3 - 2/3*a**2 + a.
-(a - 1)*(2*a - 1)/3
Suppose -12*q = -26*q + 25*q. Let 0*x**2 + 0 + 2/5*x**5 - 2/5*x**4 + q*x - 4/5*x**3 = 0. Calculate x.
-1, 0, 2
Let s be 1*(-4)/28 - ((-45)/(-70))/(-1). Factor 1/3*f + 0 + 1/6*f**3 + s*f**2.
f*(f + 1)*(f + 2)/6
Let u(m) be the first derivative of -m**5/55 + 3*m**4/22 - 3*m**3/11 + 2*m**2/11 + 69. Factor u(j).
-j*(j - 4)*(j - 1)**2/11
Factor 1/3*d**2 - 11/3 + 10/3*d.
(d - 1)*(d + 11)/3
Let s(l) = 30*l**2 + 9*l. Let z(f) = 3*f**2 + f. Let x(i) = -5*i - 14. Let m be x(-7). Let r(g) = m*z(g) - 2*s(g). Factor r(j).
3*j*(j + 1)
Suppose 2*u - v = 4*v + 11, 0 = u - 2*v - 4. Let d be (-8)/u - (1 + 10/4). Factor d*i**4 - i - 1/2*i**2 + 0 + i**3.
i*(i - 1)*(i + 1)*(i + 2)/2
Let v(f) = 32*f**5 + 111*f**4 + 54*f**3 - 77*f**2 - 40*f + 8. Let r(j) = j**5 + 2*j**2 + j + 1. Let n(h) = -4*r(h) - v(h). Solve n(a) = 0.
-2, -1, 1/4, 2/3
Suppose 11*s + 24 = 23*s. Factor -9/7*r**3 + 0 - 3/7*r**4 - 3/7*r - 9/7*r**s.
-3*r*(r + 1)**3/7
Let k(g) be the first derivative of 0*g - 4/3*g**3 + 9 - 1/10*g**4 - 5*g**2. Factor k(n).
-2*n*(n + 5)**2/5
Suppose -18 = -0*m + 4*m - 2*x, 4*m = -5*x - 11. Let z(v) = -3*v**2 - 2*v. Let l(d) = d**2 + d. Let t(f) = m*l(f) - 2*z(f). Solve t(q) = 0.
0
Let s(w) be the third derivative of 0*w + 0 - 1/160*w**6 - 1/240*w**5 - 5*w**2 - 1/2*w**3 + 0*w**4. Let o(a) be the first derivative of s(a). Factor o(r).
-r*(9*r + 2)/4
Let q(y) be the third derivative of -y**6/720 - y**5/45 - y**4/12 - y**2 + 213. Factor q(h).
-h*(h + 2)*(h + 6)/6
Let s = 749 + -746. Solve 0 + 3/2*g**2 + 21/4*g**4 + 27/4*g**s + 0*g = 0 for g.
-1, -2/7, 0
Let f = -18 - -24. Let d(x) = -25*x**3 + 85*x**2 - 74*x + 20. Let r(u) = -u. Let i(y) = f*r(y) + d(y). Factor i(c).
-5*(c - 2)*(c - 1)*(5*c - 2)
Let p(g) be the third derivative of 2*g**5/15 + 107*g**4/6 - 36*g**3 + 86*g**2 - 2. Suppose p(i) = 0. Calculate i.
-54, 1/2
Let t be 5/1*44/10. Let 16*a - t*a - 4 + 4 + 2*a**2 = 0. Calculate a.
0, 3
Let v(i) = i**2 - 11*i + 12. Let j be v(9). Let u(z) = -2*z - 8. Let q be u(j). Suppose 0*k**5 - k**4 + 0*k**q + k**5 + 2*k**4 = 0. What is k?
-1, 0
Let b(z) be the third derivative of z**8/4200 + z**7/1050 + z**6/900 - 3*z**3 - 33*z**2. Let v(p) be the first derivative of b(p). Solve v(r) = 0 for r.
-1, 0
Suppose a = 3*x - 3*a - 1, 8 = 4*x - 2*a. Suppose -y = -x*y + 10. Find n, given that 24/5*n**3 - 8/5*n**y - 8/5*n + 0 - 4/5*n**2 - 4/5*n**4 = 0.
-2, -1/2, 0, 1
Let c = 39323 + -4955207/126. Let f = 119/18 + c. Determine y so that 0 + 32/7*y**5 + 0*y + f*y**3 + 2/7*y**2 + 48/7*y**4 = 0.
-1, -1/4, 0
Factor 340*v**2 - 2*v**3 - 33 + 266*v**2 - 130*v**2 + 33 - 28322*v.
-2*v*(v - 119)**2
Let c = -98/219 - -57/73. Determine l, given that 8/3 + 2*l**2 + c*l**3 + 4*l = 0.
-2
Let y(h) be the first derivative of 5*h**3/3 - 32*h**2 + 245*h + 25. Let b(m) = 5*m**2 - 65*m + 245. Let c(z) = -6*b(z) + 5*y(z). Factor c(x).
-5*(x - 7)**2
Let r(z) be the third derivative of z**8/5040 - z**7/1260 + z**5/12 - 4*z**2. Let y(q) be the third derivative of r(q). Factor y(n).
4*n*(n - 1)
Let p(l) be the third derivative of -l**5/30 + 7*l**4/6 - 13*l**3/3 - 15*l**2. Factor p(n).
-2*(n - 13)*(n - 1)
Let n = -10 + 13. Suppose -3*z = 3 - 15. Suppose 45*f**2 - 119*f**4 - 31*f - 5*f**n + 13*f**5 + 3*f + 47*f**5 + 43*f**3 + z = 0. What is f?
-2/3, 1/4, 2/5, 1
Let j(w) = w**3 + 23*w**2 + 2. Let n be j(-23). Suppose -12*y**2 - 320 - 80*y + 2*y**n + 5*y**2 = 0. Calculate y.
-8
Let w(h) be the second derivative of -1/30*h**6 + 9/2*h**3 - 7/20*h**5 - 3/4*h**4 - 5*h - 2 + 27*h**2. Factor w(m).
-(m - 2)*(m + 3)**3
Let p = 2 - -1. Suppose -79*x + 82*x - 144 = 0. Determine r, given that -6*r**4 - p*r**5 - 3*r**3 + x - 48 = 0.
-1, 0
Let i be 20*3/(-36) + 2. Suppose 1/9*r**4 + 0 + i*r**2 - 1/3*r**3 - 1/9*r = 0. What is r?
0, 1
Factor 60*u - 16*u + 10 - 26 - 6*u**3 + 14*u**2.
-2*(u - 4)*(u + 2)*(3*u - 1)
Factor 6*o**3 + 3*o**2 + 8*o**3 + o - 4*o**3 + 15 - 38*o**2 + 9*o.
5*(o - 3)*(o - 1)*(2*o + 1)
Let y(p) be the third derivative of p**5/30 + 11*p**4/3 - 15*p**3 + 29*p**2 - 2*p. Factor y(h).
2*(h - 1)*(h + 45)
Let j(q) be the third derivative of 0*q + 0*q**3 + 1/1500*q**6 - 1/875*q**7 - 1/150*q**4 + 0 + 11*q**2 + 1/250*q**5 + 1/4200*q**8. Let j(h) = 0. Calculate h.
-1, 0, 1, 2
Factor 15/2*k**3 + 0*k + 0 + 0*k**2 + 3/2*k**5 + 9*k**4.
3*k**3*(k + 1)*(k + 5)/2
Factor -24*w**2 - 736/7 + 720/7*w - 4/7*w**3.
-4*(w - 2)**2*(w + 46)/7
Let p(m) be the third derivative of -m**7/42 + m**6/12 + 19*m**5/12 + 35*m**4/6 + 10*m**3 - 24*m**2 + 1. Factor p(t).
-5*(t - 6)*(t + 1)**2*(t + 2)
Suppose 4*s - 49 - 23 = 0. Suppose 0 = -25*z + s*z + 21. Factor -z - 1/3*i**2 - 2*i.
-(i + 3)**2/3
Let p(a) = 9*a**5 + 34*a**4 + 59*a**3 + 34*a**2 - 4*a. Let c(j) = j**5 + j**4 + j**3 + j**2 - j. Let i(d) = -4*c(d) + p(d). Factor i(f).
5*f**2*(f + 1)*(f + 2)*(f + 3)
Let y = 30058/31 - 205429/341. Let j = y + -367. Find q such that 2/11*q + 2/11*q**2 + 0 - j*q**4 - 2/11*q**3 = 0.
-1, 0, 1
Let w(m) = -m**5 - m**4 + m**3 - 2*m**2 + m + 1. Let a(v) = 2*v**4 + 2*v**3 - 5*v**2 - v + 