45*p**2 - 55*p. Let k(w) = 2*b(w) - 55*r(w). Determine i so that k(i) = 0.
-5/6, 0, 4
Let z(l) = l**4 + 9*l**3 - 21*l**2 + 15*l + 4. Let p(t) = t + 1. Let h(m) = 4*p(m) - z(m). Factor h(o).
-o*(o - 1)**2*(o + 11)
Let n(u) be the third derivative of u**5/90 - 25*u**4/18 + 625*u**3/9 + 62*u**2. Factor n(q).
2*(q - 25)**2/3
Let i(s) = -28*s**5 - 44*s**4 - 14*s**3 + 2*s**2 + 10*s. Let o(l) = l**3 + l**2 - l. Let a(u) = -i(u) - 10*o(u). Determine x, given that a(x) = 0.
-1, 0, 3/7
Let w(p) = 2*p**2 + 25*p - 11. Suppose -6*q - 22 = 56. Let o be w(q). Factor 0 + 1/2*y + 1/2*y**o.
y*(y + 1)/2
Let g(s) be the second derivative of -16*s**3 + 0 + 6*s**4 + 1/10*s**6 + 24*s**2 + 5*s - 6/5*s**5. Factor g(c).
3*(c - 2)**4
Factor 26*f**2 + 12 + 16*f**3 - 34*f - 22*f + 19*f**2 - 17*f**2.
4*(f - 1)*(f + 3)*(4*f - 1)
Let g(b) be the third derivative of b**7/735 - 2*b**6/105 + 8*b**5/105 + 167*b**2. Factor g(q).
2*q**2*(q - 4)**2/7
Let t(u) be the second derivative of -3*u**5/20 + u**4/2 + 5*u**3/2 - 9*u**2 + 2*u + 10. Factor t(b).
-3*(b - 3)*(b - 1)*(b + 2)
Let g(n) = n**4 - 23*n**3 + 215*n**2 - 864*n + 1295. Let u(v) = v**3 - v**2 - 1. Let q(o) = 3*g(o) - 3*u(o). Determine l so that q(l) = 0.
6
Factor 9 - 169*d**2 - 2 + 171*d**2 + 15*d.
(d + 7)*(2*d + 1)
Let o(s) be the second derivative of 1/90*s**5 + 0*s**3 + 0 + 0*s**2 + s + 1/135*s**6 - 1/27*s**4. Solve o(n) = 0.
-2, 0, 1
Let c(v) be the first derivative of -v**6/2 + 6*v**5 - 27*v**4 + 54*v**3 - 81*v**2/2 + 2. Factor c(t).
-3*t*(t - 3)**3*(t - 1)
Let d(z) be the third derivative of z**8/84 + 2*z**7/35 - 154*z**2. Factor d(r).
4*r**4*(r + 3)
Let u(f) be the third derivative of 2*f**7/245 + f**6/42 - 61*f**5/105 - 59*f**4/14 - 60*f**3/7 + 303*f**2. Solve u(y) = 0.
-3, -2/3, 5
Let p = -69 + 74. Factor 15 - 27*h + p*h**2 - 6*h + 13*h.
5*(h - 3)*(h - 1)
What is d in -3/2*d - 3/4*d**3 + 9/4*d**2 + 0 = 0?
0, 1, 2
Let o(u) be the first derivative of 18*u**5/5 + 12*u**4 + 44*u**3/3 + 8*u**2 + 2*u + 28. Factor o(c).
2*(c + 1)**2*(3*c + 1)**2
Suppose 5*z + 26 = j - 0*z, -4*z = -j + 23. Suppose -j*o = -4*o - 14. Solve -10*y - o*y**2 - 6*y**4 + 4*y**2 - 2*y**3 + 12*y**3 + 4 = 0 for y.
-1, 2/3, 1
Let l(z) = 48*z**2 - 144*z - 33. Let x(c) = 3*c**2 - 9*c - 2. Suppose -n + p - 3*p = -2, -16 = 3*n - 5*p. Let h(g) = n*l(g) + 33*x(g). Factor h(a).
3*a*(a - 3)
Let w(u) be the second derivative of 0*u**2 + 0*u**4 + 0*u**3 + 1/90*u**6 + 1/60*u**5 + 9*u + 0. Suppose w(f) = 0. Calculate f.
-1, 0
Let r(i) be the third derivative of 3*i**5/25 - 7*i**4/30 - 4*i**3/15 + 2*i**2 - 7. Determine t, given that r(t) = 0.
-2/9, 1
Let 48/7*q - 2/7*q**5 - 12/7*q**4 + 52/7*q**2 + 0 - 6/7*q**3 = 0. What is q?
-4, -3, -1, 0, 2
Determine s so that 75*s**2 - 143 - 5*s**4 + 73 + 25*s**3 - 25*s + 0*s**4 = 0.
-2, -1, 1, 7
Let z be (-11 - (1 - 12))*1. Let z*x**2 + 0 - 1/2*x**3 + 1/4*x**5 + 0*x + 1/4*x**4 = 0. What is x?
-2, 0, 1
Let f(d) = 40*d**3 + 35*d**2 + 140*d + 100. Let z(b) = 3*b**3. Let g(i) = f(i) - 15*z(i). Factor g(v).
-5*(v - 10)*(v + 1)*(v + 2)
Let 1/8*o**4 + 51/4*o**2 - 47/2*o - 21/8*o**3 + 15 = 0. Calculate o.
2, 15
Let w(v) be the first derivative of -v**6/1080 + 20*v**3/3 - 13. Let p(b) be the third derivative of w(b). Find n, given that p(n) = 0.
0
Let f(r) be the second derivative of -5*r**5/6 - 5*r**4/3 + 4*r**3 - 8*r**2/3 + 2*r - 6. Factor f(w).
-2*(w + 2)*(5*w - 2)**2/3
Let y be -8*(-1)/(-3)*60/(-40). Let d(x) be the second derivative of 5/3*x**3 - 9*x + 1/6*x**y - 1/10*x**5 + 0 + 3*x**2. Factor d(f).
-2*(f - 3)*(f + 1)**2
Let d(a) be the third derivative of 3/196*a**8 - 2*a**2 + 8 + 20/49*a**7 + 32/21*a**4 + 0*a + 673/210*a**6 + 0*a**3 + 80/21*a**5. Factor d(z).
4*z*(z + 8)**2*(3*z + 1)**2/7
Let -1/2*z**4 - 5*z**3 - 10 + 14*z + 3/2*z**2 = 0. What is z?
-10, -2, 1
Let x be 903/(-28) + 2/8. Let y = x - -34. Factor 0 + 0*u**3 + 4/3*u**4 + 0*u - 1/3*u**y.
u**2*(2*u - 1)*(2*u + 1)/3
Let f = 298 + -159. Determine c so that -c**5 - 8*c**4 + 8*c**2 - 3*c**5 + 143*c - f*c = 0.
-1, 0, 1
Let n = -18 + 21. Let v(r) = -r**3 + 4*r**2 - 5*r - 1. Let z(w) = -4*w**2 + 4*w + 2. Let j(s) = n*z(s) + 2*v(s). Suppose j(h) = 0. What is h?
-2, -1, 1
Factor -376/9 + 14/9*b**2 + 1312/9*b.
2*(b + 94)*(7*b - 2)/9
Let u be (4/(-10))/(6/(-45)). Let l(b) be the second derivative of -7/78*b**4 - 2/13*b**2 + 0 + u*b + 3/13*b**3. Factor l(h).
-2*(h - 1)*(7*h - 2)/13
Let x(a) = -a**2 + 2*a. Let t(o) = -5*o**3 - 16*o**2 + 7*o. Let p(w) = t(w) - 6*x(w). Factor p(g).
-5*g*(g + 1)**2
Let l(o) be the first derivative of 2*o**3/21 - 2*o**2/7 - 12. Factor l(y).
2*y*(y - 2)/7
Let s(x) be the third derivative of -1/60*x**5 - 4*x**2 - 1/24*x**4 + 0 + 1/6*x**3 + 1/120*x**6 + 0*x. Solve s(l) = 0 for l.
-1, 1
Let r(b) be the third derivative of -b**6/12 + 5*b**5/12 + 35*b**4/12 - 20*b**3/3 + 94*b**2 + 2. Suppose r(u) = 0. Calculate u.
-2, 1/2, 4
Factor 27*p - 33/4*p**3 + 0 - 18*p**2 - 3/4*p**4.
-3*p*(p - 1)*(p + 6)**2/4
Let f(a) be the first derivative of -4*a + 7/2*a**4 - 9 + 8*a**3 + 3*a**2. Factor f(o).
2*(o + 1)**2*(7*o - 2)
Let f(v) be the third derivative of 0 + 0*v + 0*v**4 + 1/570*v**5 - 13*v**2 + 0*v**3. Factor f(x).
2*x**2/19
Let d = 29 - 32. Let x(c) = -c**2 - c - 1. Suppose 3*h = -0*h + 3. Let m(o) = -o**2 - 3*o - 3. Let s(a) = d*x(a) + h*m(a). Factor s(t).
2*t**2
Find v such that 5*v**4 - 25*v**3 - 30*v**2 + 233*v + 130 - 73*v + 30 = 0.
-2, -1, 4
Suppose 21 = 5*v - 9. Let t be v/(-14)*(-6 - 1). Factor -2*c + c**3 - t*c**3 + 5*c**3 - c.
3*c*(c - 1)*(c + 1)
Let u = -29 - -92/3. Let x = u + -7/15. Let -x*f**2 + 4/5*f + 0 - 2*f**3 = 0. What is f?
-1, 0, 2/5
Let s = -11 - -10. Let l be 3/(-6) + s + 2. Factor -l*k**2 + 1 - 1/2*k.
-(k - 1)*(k + 2)/2
Suppose 3*y - 14*y = -88. Let -3*w**4 + 7*w**4 + 0*w + 4*w**3 - 6*w + 2*w - 12*w**2 + y = 0. What is w?
-2, -1, 1
Determine p so that -4/5*p**4 - 4/5 - 24/5*p**2 - 16/5*p**3 - 16/5*p = 0.
-1
Factor l**2 + 20 - 181/3*l.
(l - 60)*(3*l - 1)/3
Let u(q) be the first derivative of q**4/6 + 2*q**3/9 - 2*q**2/3 + 40. Factor u(t).
2*t*(t - 1)*(t + 2)/3
Suppose 0 = 2*z + 2*z - 1504. Suppose 0 = 5*s - 464 - z. Factor s*h**2 + 27*h**4 + 3*h**5 + 48 + 124*h - 104*h + 124*h + 96*h**3.
3*(h + 1)*(h + 2)**4
Factor -75 + 85*j + 1/3*j**3 - 31/3*j**2.
(j - 15)**2*(j - 1)/3
Let b(z) be the first derivative of -2*z**5/5 - 3*z**4/2 - 2*z**3/3 + 3*z**2 + 4*z - 139. Solve b(r) = 0 for r.
-2, -1, 1
Solve 584/13*p**2 - 232/13*p - 10/13*p**3 + 0 = 0 for p.
0, 2/5, 58
Suppose 0 = 3*u - 12. Let w = 3664 - 3662. Solve 52/3*q - 25/3*q**u + 31/3*q**w + 4 - 70/3*q**3 = 0.
-3, -2/5, 1
Find s such that 0 - 11/8*s - 3/2*s**2 - 1/8*s**3 = 0.
-11, -1, 0
Factor -138*s**2 + 67*s**2 + 6*s - 9*s + 70*s**2.
-s*(s + 3)
Suppose -3*i - 4*t + 4 = -6*i, 2*t = 2*i. Suppose s + 2*s + 5*q - 4 = 0, 3*s + i*q = 5. Find c, given that 10 + s*c + 4*c**2 + 6 + 13*c = 0.
-2
Let s be 4/3 + 270/81. Let n = -11 + 16. Suppose s*w**4 + 13*w**3 + n*w + 38/3*w**2 + 2/3 = 0. Calculate w.
-1, -1/2, -2/7
Suppose -2*q - 2*p = -2, 14*q + 4*p = 13*q - 5. Factor d**q - 23*d**2 + 2*d + 11*d**2 + 9*d**2.
d*(d - 2)*(d - 1)
Let r = 15 + -13. Suppose 6*h = r*h + 8. Suppose -h*u**3 + 2*u - 3*u**2 + 0*u**4 + 5*u**4 + 2*u**2 - 4*u**4 = 0. Calculate u.
-1, 0, 1, 2
Solve 224/5*j**3 - 38/5*j**4 + 2/5*j**5 - 128/5*j + 512/5 - 376/5*j**2 = 0.
-1, 2, 8
Let s be (-4)/70*10 + (-216)/(-42). Find f, given that 12/7*f**4 + 4*f**3 + 4/7 + 2/7*f**5 + s*f**2 + 18/7*f = 0.
-2, -1
Let r(z) be the first derivative of z**6/39 - 5*z**4/13 + 40*z**3/39 - 15*z**2/13 + 8*z/13 - 105. Solve r(c) = 0.
-4, 1
Let u(c) = -c - 15. Let i be u(-19). Suppose -g - 3 = -4*v, 5*g - 2 = i*v - 17. Factor 0 + 2/15*q**4 - 2/5*q**3 + v*q**2 + 8/15*q.
2*q*(q - 2)**2*(q + 1)/15
Let r(y) = 17*y**4 - 72*y**3 + 47*y**2 + 342*y + 242. Let v(a) = 9*a**4 - 36*a**3 + 23*a**2 + 170*a + 122. Let f(p) = -5*r(p) + 9*v(p). Solve f(k) = 0 for k.
-1, 4, 7
Let x be 6/(-20) - (-40)/50. Factor 0 + 0*i**2 + 0*i - 1/2*i**4 + x*i**3.
-i**3*(i - 1)/2
Let a(k) = k**3 - 15*k**2 + 16*k - 18. Let v be a(14). Let z = v + -8. Suppose 0*i + 2/3*i**3 + 2/3*i**z + 0 = 0. Calculate i.
-1, 0
Factor 5*d - 89*d**3 + 46*d**3 + 38*d**3.
-5*d*(d - 1)*(d + 1)
Suppose -2*z - 6*p + 3*p = 10, 4 = z - 3*p. Let x(m) = 4*m**2 - 14*m + 16. Let f = 155 - 151. Let b(v) = v**2 - v - 1. Le