 + p**6/1080 - 11*p**4/12 + 2*p. Let v(u) be the third derivative of d(u). Factor v(k).
-k*(k - 1)*(k + 2)/3
Let m(f) = f**4 - f**3 - 2*f**2 - 1. Let y(t) = 8*t**4 - 20*t**3 + 12*t**2 - 8*t - 4. Let g(u) = -4*m(u) + y(u). Let g(z) = 0. What is z?
0, 1, 2
Let k(g) = g**2 - 4*g - 8. Let y be 2 - 0 - (-2 - 0). Let q(j) = -3*j**2 + 11*j + 23. Let d(o) = y*q(o) + 11*k(o). Factor d(b).
-(b - 2)*(b + 2)
Let t(k) = 17*k**3 + 3*k**2 - 3*k - 3. Let l(r) = 5*r**3 + r**2 - r - 1. Let p(f) = -21*l(f) + 6*t(f). Find o such that p(o) = 0.
-1, 1
Suppose 14*i + 12 = 11*i, 3*x + i - 14 = 0. Let u(f) be the third derivative of 0 - 1/90*f**4 - 1/150*f**5 + 0*f**3 - 1/900*f**x + 0*f - 7*f**2. Factor u(h).
-2*h*(h + 1)*(h + 2)/15
Let o = -13 - -13. Suppose 268*v - 270*v = z - 3, -v = -3*z + 9. Factor -2/7*m + o + 0*m**2 + 2/7*m**z.
2*m*(m - 1)*(m + 1)/7
Let r be 115/46*8/5. Factor -13*m**5 - 5*m**4 + 8*m**5 + 0*m**r.
-5*m**4*(m + 1)
Let x(b) = 2*b**3 + b**2 - b + 1. Let w(f) = 2*f**3 + 3*f**2 + 73*f + 123. Let p(u) = -w(u) + 3*x(u). Factor p(c).
4*(c - 5)*(c + 2)*(c + 3)
Suppose 17 + 7 = 8*w. Suppose -2*o + w*q = 8, -4*o + q + 3 + 1 = 0. Determine g so that 0*g**o + 0 - 1/4*g**3 + 1/4*g = 0.
-1, 0, 1
Let r(t) be the third derivative of t**5/20 - 5*t**4/2 + 191*t**2. Factor r(h).
3*h*(h - 20)
Let l = 43/14 + -643/210. Let c(g) be the third derivative of -1/245*g**7 + 0 - 1/210*g**5 - l*g**6 + 0*g**3 + 4*g**2 + 0*g + 0*g**4. Factor c(z).
-2*z**2*(z + 1)*(3*z + 1)/7
Factor 50*q**5 - 119*q**5 + 71*q**5 - 2*q**3.
2*q**3*(q - 1)*(q + 1)
Let y(j) be the first derivative of -j**6/45 + j**4/15 - j**2/15 - 79. Factor y(r).
-2*r*(r - 1)**2*(r + 1)**2/15
Factor 13/5*b - 1/5*b**2 + 28.
-(b - 20)*(b + 7)/5
Let c(v) = -5*v**2 + 5*v - 3. Let y(p) = 1 + p - 1 + 0. Let n(q) = 5*c(q) + 15*y(q). Solve n(h) = 0 for h.
3/5, 1
Let u(j) = -8*j**3 - 263*j**2 - 822*j - 349. Let a(i) = -31*i**3 - 1051*i**2 - 3289*i - 1398. Let y(m) = -2*a(m) + 9*u(m). Factor y(k).
-5*(k + 3)*(k + 23)*(2*k + 1)
Let i(r) = -135*r**2 + 396*r + 27. Let h(w) = 27*w**2 - 79*w - 6. Let o(l) = 21*h(l) + 4*i(l). Determine d, given that o(d) = 0.
-2/9, 3
Suppose -10*t = -13*t + 60. Let y = 24 - t. Find c such that 2*c**2 + 0*c - c**3 - 2 - c**3 + y*c - 2*c**3 = 0.
-1, 1/2, 1
Let l = -41 - -44. Let b(j) be the first derivative of 2/3*j**l + 3/2*j**4 - 6 - 2*j - 3*j**2. Factor b(a).
2*(a - 1)*(a + 1)*(3*a + 1)
Factor -7*y**4 - 1/3*y**5 + 23*y**3 + 0 - 71/3*y**2 + 8*y.
-y*(y - 1)**3*(y + 24)/3
Let o(w) = 2*w**3 + 4*w**2 + 5*w + 2. Let x(v) = v**3. Let l be 1/2 + (-4)/(-8). Let u(d) = l*o(d) - x(d). Factor u(i).
(i + 1)**2*(i + 2)
Factor 21/4*h - 1/4*h**2 - 5.
-(h - 20)*(h - 1)/4
Let p be -43 + 38 + (-1)/1*-7. Factor -2*m**3 - 6*m**p - 1 - 9/2*m.
-(m + 2)*(2*m + 1)**2/2
Suppose -5*l = -6 + 1, 0 = 3*a - 4*l + 4. Factor x**2 - 157*x**4 + a + 0 + 156*x**4.
-x**2*(x - 1)*(x + 1)
Let n(y) be the first derivative of -y**6/10 + 9*y**5/10 - 9*y**4/4 + 2*y**3 + 18*y + 9. Let u(m) be the first derivative of n(m). Factor u(q).
-3*q*(q - 4)*(q - 1)**2
Factor -214/3*w + 24 - 2/3*w**4 - 22*w**3 + 70*w**2.
-2*(w - 1)**3*(w + 36)/3
Let x be ((6/9)/((-32)/(-120)))/(90/27). Factor 0*b**3 + 0 - 3/4*b**2 + x*b**4 + 0*b.
3*b**2*(b - 1)*(b + 1)/4
Let i(b) be the third derivative of -b**8/840 + b**7/525 + b**6/150 - b**2 - 4*b. Factor i(j).
-2*j**3*(j - 2)*(j + 1)/5
Let z be (-8)/16 + -7*(-4)/28. Factor z + 0*b**2 + 3/4*b - 1/4*b**3.
-(b - 2)*(b + 1)**2/4
Factor -3/2*c**4 + 2*c**2 + 0 + 0*c**3 + 1/2*c**5 + 0*c.
c**2*(c - 2)**2*(c + 1)/2
Find y such that -6/11*y**3 + 2/11*y**4 + 6/11*y - 10/11*y**2 + 8/11 = 0.
-1, 1, 4
Suppose -5*u + 53 = 43. Factor 4*n + 1 + 14*n + 26 + 3*n**u.
3*(n + 3)**2
Let -2/7*q**4 - 12/7*q**2 + 16/7 - 8/7*q + 10/7*q**3 = 0. What is q?
-1, 2
Let r = 7/306 + 2413/1530. Factor 0 - 8/5*g - 2/5*g**4 + 2/5*g**3 + r*g**2.
-2*g*(g - 2)*(g - 1)*(g + 2)/5
Let l be 2/(-6) - (-1)/3. Let f = 2 - l. Factor -2*u**2 - 2 + 2*u + 6 + f - 2.
-2*(u - 2)*(u + 1)
Let s(z) be the third derivative of z**5/72 - 7*z**4/16 + z**3 + 39*z**2. Factor s(u).
(u - 12)*(5*u - 3)/6
Let r(q) be the second derivative of 0*q**3 + q**4 + 0 - 36*q - 3/20*q**5 + 0*q**2. Determine p so that r(p) = 0.
0, 4
Suppose 13*g + 3*s + 30 = 16*g, 0 = -3*g - 4*s - 12. Suppose -57/2*h**2 - 6*h**g - 6 + 75/4*h**3 + 3/4*h**5 + 21*h = 0. Calculate h.
1, 2
Let o = 148501/100 + -1485. Let i(x) be the third derivative of 0 + x**2 - 1/350*x**7 + 0*x + 1/200*x**6 - 1/40*x**4 + o*x**5 + 0*x**3. Factor i(n).
-3*n*(n - 1)**2*(n + 1)/5
Suppose -12*o + 2 = -70. Suppose 20*y - 42*y - 4*y**2 - o*y = 0. What is y?
-7, 0
What is m in 2*m - 2/5*m**3 - 4/5*m**2 + 12/5 = 0?
-3, -1, 2
Let k(r) = r**3 + 33*r + 19. Suppose -3*s + 3*a = 9, -3*s - 1 = -4*a + 6. Let b(m) = -m**3 - 17*m - 9. Let u(c) = s*b(c) - 3*k(c). Let u(w) = 0. Calculate w.
-2, -1, 3
Let o be 6/15 + (-527)/5. Let v be ((-72)/o)/(2/20). Determine k so that 0 + 33/7*k**3 - v*k**4 + 48/7*k**2 + 12/7*k - 45/7*k**5 = 0.
-1, -2/3, -2/5, 0, 1
Let k be (8/(-10))/((-10)/25). Factor 98 + 6*f**k - f**2 + 20*f - 123.
5*(f - 1)*(f + 5)
Suppose 0 = -3*v - i + 207, -2*i = -3*v - i + 213. Factor -2*z**3 - 6*z**2 - 66*z + 4*z**3 + v*z.
2*z*(z - 2)*(z - 1)
Factor 0 - 85/6*i**2 + 5/6*i**3 + 50*i.
5*i*(i - 12)*(i - 5)/6
Let p(w) be the first derivative of w**4/7 - 26*w**2/7 + 48*w/7 + 51. Factor p(g).
4*(g - 3)*(g - 1)*(g + 4)/7
Suppose 5*o - 7 = -3*q, 12*q - 4 = -3*o + 10*q. Factor 1/2*k**5 + 0 + k**o - k**4 - 1/2*k**3 + 0*k.
k**2*(k - 2)*(k - 1)*(k + 1)/2
Suppose -114/7*u - 3/7*u**4 + 9 + 18/7*u**3 + 36/7*u**2 = 0. Calculate u.
-3, 1, 7
Find b, given that 6*b + 137*b**5 + 66*b**3 - 129*b**5 + 38*b**2 + 7*b**4 + 35*b**4 = 0.
-3, -1, -1/4, 0
Let b be 18*(-11)/(-33)*(-5 - 33/(-6)). Factor 1/4*f**2 + 0 + 1/8*f + 1/8*f**b.
f*(f + 1)**2/8
Let k(q) = 12*q**4 - 21*q**3 - 9*q**2 - 6*q - 6. Let b(c) = -36*c**4 + 62*c**3 + 29*c**2 + 16*c + 17. Let n(d) = 6*b(d) + 17*k(d). Factor n(r).
-3*r*(r - 2)*(r + 1)*(4*r - 1)
Let u be -75 + 71 - (0 + -11). Let a(m) be the third derivative of 10*m**2 - 1/36*m**4 + 0*m + 1/180*m**6 + 1/630*m**u - 1/180*m**5 + 0 + 0*m**3. Factor a(t).
t*(t - 1)*(t + 1)*(t + 2)/3
Let c be 16/(-8)*(3/(-6) + 1). Let y(p) = -p**2 - 4*p - 2. Let a(k) = 1. Let h(z) = c*y(z) + 2*a(z). Find o, given that h(o) = 0.
-2
Let b(s) be the first derivative of s**6/1620 - s**5/180 + s**4/54 + 3*s**3 + 19. Let m(o) be the third derivative of b(o). Factor m(x).
2*(x - 2)*(x - 1)/9
Determine k, given that 2400*k - 4000 + 58*k**2 - 268*k**2 + 3*k**3 + 3*k**3 - k**3 = 0.
2, 20
Let y = 1329 - 1327. Determine p, given that -6*p**4 + 3*p + 9/2*p**y - 2*p**3 + 1/2 = 0.
-1/2, -1/3, 1
Let c(h) be the second derivative of -h**6/180 - h**5/15 + 5*h**3/6 - 4*h. Let u(f) be the second derivative of c(f). Solve u(z) = 0 for z.
-4, 0
Let z(p) be the third derivative of p**6/108 - p**5/10 + 5*p**4/18 - 8*p**3/27 - p**2 - 21. Factor z(g).
2*(g - 4)*(g - 1)*(5*g - 2)/9
Solve 10/3*s + 5/3*s**4 - 10/3*s**2 + 5/6*s**5 - 5/2*s**3 + 0 = 0 for s.
-2, 0, 1
What is r in 90*r**5 + 2*r**2 - 88*r**5 - 18*r**3 - 12*r**2 - 6*r**4 = 0?
-1, 0, 5
Suppose -5*f = f - 318. Let z = -33 + f. Let u(m) = -5*m**2 - 10*m - 25. Let r(c) = 1. Let l(v) = z*r(v) + u(v). Factor l(x).
-5*(x + 1)**2
Let b be (-3)/(-18)*5*(-184)/(-1150)*10. What is d in 0 + 10*d**2 - b*d = 0?
0, 2/15
Let i = -33 + 60. Let l be i/(-15) - (-3 + 0). Factor -8/5*a - l - 2/5*a**2.
-2*(a + 1)*(a + 3)/5
Let a(l) be the first derivative of l**4/16 + l**3/4 + l**2/4 + 240. Determine d so that a(d) = 0.
-2, -1, 0
Suppose -22*v + v + 112 = 7. Solve 4/19 + 2/19*t**v + 6/19*t - 4/19*t**2 - 8/19*t**3 + 0*t**4 = 0.
-1, 1, 2
Let a be (-1)/(-2) + (-9 + 1 - (-5270)/680). Factor a*i + 1/2 - 1/4*i**2.
-(i - 2)*(i + 1)/4
Let k(d) be the first derivative of -d**4/4 - 22*d**3/3 - 121*d**2/2 - 19. What is c in k(c) = 0?
-11, 0
Let x(w) be the third derivative of w**8/2520 + w**7/525 - w**6/50 + w**2 + 8*w. Determine u so that x(u) = 0.
-6, 0, 3
Let u(k) = -k**2 - k + 1. Let h(c) = -11*c - c**2 + 78*c + 23 + 17*c**2 + 0*c**2. Let p(y) = h(y) + u(y). Determine o so that p(o) = 0.
-4, -2/5
Let i be 3 + (-4)/(-22) + (-13)/11. Find l, given that l**4 - 3*l**5 + l**3 + 0*l**2 + i*l**5 + l**2 - 2*l**2 = 0.
-1, 0, 1
Let x(s) = 2*s**2 - 9*s + 4. Let