rivative of -17/3*w**3 - 3*w**5 + 0*w**2 - 33/4*w**4 + 104 + 0*w + 1/6*w**6. Factor f(i).
i**2*(i - 17)*(i + 1)**2
Factor 33*k**3 + k**4 + 59*k**3 - 316*k**2 + 252*k - 24*k - 5*k**4.
-4*k*(k - 19)*(k - 3)*(k - 1)
Suppose -7*t = 5*t - 204. Factor -18*u**2 + u**3 + t*u**2 + 20*u**2.
u**2*(u + 19)
Let p(n) be the second derivative of -71/9*n**4 - 50*n - 1 - 67/50*n**5 - 8/75*n**6 - 124/5*n**3 - 216/5*n**2 - 1/315*n**7. Suppose p(s) = 0. What is s?
-9, -2
Let h(k) be the third derivative of 0*k**4 + 0*k - 1/120*k**5 + 1/12*k**3 + 260*k**2 + 0. Find y, given that h(y) = 0.
-1, 1
Let v = 533 - 101. Let -631*c**3 - 536*c**3 - 51*c**2 + 12*c**4 + 1067*c**3 - 57*c**2 + 4*c**5 + 432 + v*c = 0. Calculate c.
-6, -2, -1, 3
Solve -311/2 - 621/4*w + 1/4*w**2 = 0.
-1, 622
Let m(b) be the first derivative of b**6/1620 - 7*b**5/180 + 5*b**4/27 - 4*b**3 - 6. Let g(a) be the third derivative of m(a). Factor g(v).
2*(v - 20)*(v - 1)/9
Determine v so that -51*v**5 + 98*v**5 - 45*v**5 + 549*v**3 - 570*v - 1444 - 38*v**4 + 1516*v**2 + 19*v**3 - 34*v**4 = 0.
-2, -1, 1, 19
Suppose 2*h - 144 = -5*i - h, -158 = -5*i + 4*h. Suppose -5*m - 20 = -i. Find o, given that 3*o - 30 + 21*o**m + 34*o**2 - 23*o - 5*o = 0.
-6/11, 1
Factor 0 + 0*b + 0*b**3 + 8/7*b**2 - 2/7*b**5 - 6/7*b**4.
-2*b**2*(b - 1)*(b + 2)**2/7
Let p be (-5 - -5)/(-1 + 2). Let d = 220/597 - 7/199. Find z such that p + d*z**3 - 2*z + 1/3*z**2 = 0.
-3, 0, 2
Let a be -1 - (2 - 13) - (-682)/(-77). Factor 0 + a*r + 10/21*r**3 - 64/21*r**2.
2*r*(r - 6)*(5*r - 2)/21
Let q(c) be the third derivative of -c**6/30 + 7*c**5/3 + 182*c**4/3 - 1720*c**3/3 + c**2 - 4605. Solve q(s) = 0 for s.
-10, 2, 43
Let y be (-2 + 51)*(-7074)/(-189). Let b = -1831 + y. Factor -4/7*z**b + 2/7*z**4 + 4/7*z + 0*z**2 - 2/7.
2*(z - 1)**3*(z + 1)/7
Let l(o) be the first derivative of o**5/5 + 4*o**4 + 5*o**3 - 805. Factor l(z).
z**2*(z + 1)*(z + 15)
Suppose 4865 = 212*l + 1685. Let f(s) be the first derivative of s**2 - 1/3*s**3 + 8*s + l. Solve f(x) = 0.
-2, 4
Let k = 69447 - 69445. Factor 5/4 + 1/8*i**3 - 1/8*i - 5/4*i**k.
(i - 10)*(i - 1)*(i + 1)/8
Suppose 139*d + 2628 = 649*d + 147*d. Solve -2/7*z - 1/7*z**2 + 8/7*z**3 + 0 - 5/7*z**d = 0.
-2/5, 0, 1
Let t(b) be the second derivative of 0 - 3/160*b**5 - 51*b + 0*b**3 + 0*b**4 + 0*b**2 - 1/80*b**6. Factor t(x).
-3*x**3*(x + 1)/8
Let p(n) be the second derivative of n**5/160 + 5*n**4/16 + 7*n**3/6 + 1214*n. Factor p(r).
r*(r + 2)*(r + 28)/8
Let t(g) be the first derivative of 5*g**9/1512 + g**8/112 + g**7/168 + 2*g**3 + 77. Let o(m) be the third derivative of t(m). Suppose o(i) = 0. Calculate i.
-1, -1/2, 0
Let x(i) be the third derivative of -i**8/336 - 47*i**7/70 + 29*i**6/24 + 421*i**5/60 - 59*i**4/2 + 142*i**3/3 - 311*i**2 - 9*i. Find c such that x(c) = 0.
-142, -2, 1
Let a(h) be the third derivative of h**6/60 + 488*h**5/15 + 1949*h**4/12 + 974*h**3/3 - 3*h**2 + 2*h - 124. Factor a(v).
2*(v + 1)**2*(v + 974)
Let p(t) be the second derivative of t**5/210 - t**4/12 + 2*t**3/7 - 28*t**2 - 71*t. Let i(j) be the first derivative of p(j). Factor i(w).
2*(w - 6)*(w - 1)/7
Let l = 1000161/2 + -500080. Solve -1/6*k**3 + l + 1/6*k - 1/2*k**2 = 0.
-3, -1, 1
Find m, given that -8*m**3 + 12*m - 125*m**5 + 2*m**4 + 128*m**5 - 5*m**3 - 28*m**2 - 12*m**3 = 0.
-2, 0, 1/3, 3
Let s(h) be the first derivative of 20*h**2 - 5/3*h**3 + h**5 + 0*h - 67 - 10*h**4. Factor s(b).
5*b*(b - 8)*(b - 1)*(b + 1)
Let x(y) be the third derivative of -4 + 10*y**2 + 0*y**6 + 2/525*y**7 - 1/75*y**5 + 0*y**3 - 1/60*y**4 + 0*y + 1/840*y**8. Solve x(k) = 0 for k.
-1, 0, 1
What is a in 51/5*a**3 + 3/5*a**4 - 243/5*a + 15*a**2 - 54 = 0?
-15, -3, -1, 2
Find o, given that 171/2*o + 1/2*o**3 - 103/4*o**2 - 72 = 0.
3/2, 2, 48
Let r(u) be the first derivative of u**5/10 - u**4/4 - 8*u**3/3 + u**2/2 + 15*u/2 - 473. Find x, given that r(x) = 0.
-3, -1, 1, 5
Factor 5/3*s**3 - 212180/3 + 1010/3*s**2 + 48925/3*s.
5*(s - 4)*(s + 103)**2/3
Let c(q) be the second derivative of 1 + 2/21*q**7 + 0*q**2 + 2/3*q**4 - 4/15*q**6 - 1/5*q**5 + 0*q**3 - 2*q. Factor c(b).
4*b**2*(b - 2)*(b - 1)*(b + 1)
Let k be -1*8*(-27 - (-4532)/176). Let z(b) be the first derivative of 11 - 5/4*b**4 + 0*b**3 + 15/2*b**2 + k*b. What is r in z(r) = 0?
-1, 2
Let t be (-10)/45 + 268/18. Let s be (-39)/216*-3 + (-6 - (-1372)/224). Factor t*i + 242/3 + s*i**2.
2*(i + 11)**2/3
Let o(k) = -4*k**4 + 35*k**3 - 8189*k + 65530. Let j(a) = a**4 - a**3 - a + 2. Let i(l) = 12*j(l) + 4*o(l). Solve i(b) = 0.
-16, 16
Suppose 0 = 54*q - 24 - 121 - 17. What is w in 1/7*w + 4/7*w**2 - 6/7 + 1/7*w**q = 0?
-3, -2, 1
Let z(p) be the second derivative of -28 - 53/30*p**5 - 2*p - 540*p**3 - 51*p**4 + 1944*p**2 - 1/45*p**6. Solve z(m) = 0.
-18, 1
Determine k so that 4/7*k**2 - 276/7*k - 4264/7 = 0.
-13, 82
Suppose -47*k - 5*k - 10*k + 434 = 0. Let g(f) be the third derivative of 4/3*f**5 + 1/3*f**6 - f**2 + 1/42*f**k + 0*f**4 + 0*f + 0 + 0*f**3. Factor g(m).
5*m**2*(m + 4)**2
Let p = 48 + -45. Let s be p/5*(190/18 + -10). Factor 2*d + 5/3 + s*d**2.
(d + 1)*(d + 5)/3
Factor 100/3*o + 0 + 2/3*o**2.
2*o*(o + 50)/3
Let j(p) be the third derivative of 25*p**8/336 + 7*p**7/2 + 539*p**6/12 + 722*p**5/3 + 540*p**4 + 1600*p**3/3 + 994*p**2. Suppose j(n) = 0. What is n?
-20, -4, -1, -2/5
Let l(m) be the first derivative of -1/4*m**2 - 3/10*m**5 + 1/2*m**3 + 1/8*m**4 + 0*m - 43. Suppose l(i) = 0. Calculate i.
-1, 0, 1/3, 1
Let l = -273004 - -273004. Suppose l - 1/4*i**2 + 19/4*i = 0. What is i?
0, 19
Let q(w) = -30*w**4 + 1029*w**3 - 1989*w**2 + 990*w - 168. Let p(a) = -3*a**4 + 103*a**3 - 199*a**2 + 99*a - 16. Let l(u) = 21*p(u) - 2*q(u). Factor l(r).
-3*r*(r - 33)*(r - 1)**2
Let t(a) be the first derivative of -3*a**4/4 + 13*a**3 + 615*a**2/2 + 1725*a + 7712. Suppose t(k) = 0. Calculate k.
-5, 23
Let b be ((-2800)/4800 - (10/(-4) + 2))*-16. Factor 1/3*x**2 - b + 0*x.
(x - 2)*(x + 2)/3
Let t(c) be the second derivative of -c**4/3 + 38*c**3 + 360*c**2 - 2*c + 3182. Factor t(q).
-4*(q - 60)*(q + 3)
Let m(u) be the second derivative of -110*u + 11/3*u**4 + 16*u**3 + 0 + 1/5*u**5 - 72*u**2. Factor m(s).
4*(s - 1)*(s + 6)**2
Let i(g) = -2*g**2 - g - 4. Let b(d) = -55*d**2 - 60*d - 920. Let w(o) = -b(o) + 30*i(o). Determine j so that w(j) = 0.
-10, 16
Let c(o) = -43*o**3 + 136*o**2 + 461*o + 384. Let w(u) = -5*u**3 + 17*u**2 + 58*u + 48. Let i(z) = -6*c(z) + 51*w(z). Factor i(v).
3*(v + 1)*(v + 4)*(v + 12)
What is r in -r**2 + 23 + 65 - 30 + 28 - 41*r = 0?
-43, 2
Let w be 780/6900 + (-2)/(-23). Factor -2/5*z + 0 + w*z**2.
z*(z - 2)/5
Suppose 359 - 964 = -595*r + 1180. Factor 0 - 8*d + 40/3*d**2 - 6*d**r + 2/3*d**4.
2*d*(d - 6)*(d - 2)*(d - 1)/3
Let v(r) be the first derivative of -1/30*r**3 + 1/50*r**5 - 1/60*r**6 + 1/40*r**4 + 1 + 0*r**2 + 0*r. Find d, given that v(d) = 0.
-1, 0, 1
Determine b, given that -210/11*b - 196/11 + 2/11*b**3 - 12/11*b**2 = 0.
-7, -1, 14
Let d be -45 - (-1222)/(14 - -12). Factor 338/17*h + 0 + 2/17*h**3 + 52/17*h**d.
2*h*(h + 13)**2/17
Let b(j) be the first derivative of -j**3/9 - 78*j**2 - 18252*j + 509. Find n, given that b(n) = 0.
-234
Let s(i) = -7*i**4 + 69*i**3 - 141*i**2 + 103*i + 12. Let r(v) = 8*v**4 - 69*v**3 + 142*v**2 - 109*v - 14. Let c(u) = -6*r(u) - 7*s(u). Factor c(h).
h*(h - 67)*(h - 1)**2
Let c = -3600 + 43205/12. Let v(r) be the first derivative of 0*r + 1/4*r**2 + 1/8*r**4 + c*r**3 - 2. Factor v(s).
s*(s + 2)*(2*s + 1)/4
Suppose -68 = -15*v + 22. Let t(r) be the second derivative of 1/105*r**6 + 0*r**2 + 3/70*r**5 + 1/21*r**4 + 0 + v*r + 0*r**3. Factor t(b).
2*b**2*(b + 1)*(b + 2)/7
Let p(l) be the third derivative of -2/45*l**5 + 0*l**3 + 0*l + 0 + 1/18*l**4 + 41*l**2. Factor p(z).
-4*z*(2*z - 1)/3
Let j(p) be the third derivative of p**5/12 - 220*p**4/3 + 77440*p**3/3 - 340*p**2. Solve j(q) = 0 for q.
176
Let j = 2/123851 + 2600867/247702. What is f in 3/2*f**5 + 39/2*f - j*f**4 - 9/2 - 33*f**2 + 27*f**3 = 0?
1, 3
Let h(j) be the third derivative of -j**5/300 + j**4/3 + 69*j**2. Factor h(b).
-b*(b - 40)/5
Suppose 0 = -4*v + 36 + 44. Suppose 56*f = 46*f + v. Suppose 8/9 - 20/9*k**3 + 20/9*k - 4*k**f + 28/9*k**4 = 0. Calculate k.
-1, -2/7, 1
Let l be -1397 + (-15 - 3)/(-6). Let j = -1384 - l. Factor 5/3*f**2 + j - 35/3*f.
5*(f - 6)*(f - 1)/3
Let v(o) = 98*o 