actor -b**4 - 23*b - 3*b - b - 9*b**p - 27*b**d.
-b*(b + 3)**3
Factor 2510*q**4 - 67*q**3 - 24 + 36*q**3 - 148*q + 19*q**3 - 2474*q**4 - 236*q**2.
4*(q - 3)*(q + 2)*(3*q + 1)**2
Let u be (-378)/(-14) + -19 + (36/54 - (-174)/(-45)). Factor 2/5*o**2 + u*o - 26/5.
2*(o - 1)*(o + 13)/5
Let j be (2/(-34))/((-7016)/59636). Solve 1/6*g - 1/6*g**3 - 5/6*g**2 + j*g**4 + 1/3 = 0.
-1, -2/3, 1
Let s(t) be the first derivative of 2*t**3/3 + 626*t**2 + 195938*t - 6268. Factor s(d).
2*(d + 313)**2
Let b(r) = -r**3 + 2*r**2 + 24*r - 44. Let d be b(2). Let o(l) be the first derivative of 5/9*l**3 + 1/6*l**2 + 9 + 0*l - 1/12*l**d - 1/3*l**5. Factor o(i).
-i*(i - 1)*(i + 1)*(5*i + 1)/3
Let 10 + 2*y**3 + 14687*y - 4 - 6*y**2 - 14689*y = 0. Calculate y.
-1, 1, 3
Let s(v) be the first derivative of 1/78*v**4 + 4/13*v**2 + 4/39*v**3 - 7 - 5*v. Let j(n) be the first derivative of s(n). Find w, given that j(w) = 0.
-2
Determine h so that -1/3*h**3 + h**2 + 24*h - 108 = 0.
-9, 6
Determine b so that 12032*b**5 + 210 + 985*b - 6*b**4 - 12057*b**5 + 1430*b**2 + 851*b**3 - 131*b**3 + 46*b**4 = 0.
-3, -1, -2/5, 7
Factor -20471*x + 126*x**3 - 384*x**3 + 6639*x**2 + 38988 + 3*x**4 - 24901*x.
3*(x - 38)**2*(x - 9)*(x - 1)
Let f(y) be the first derivative of -y**6/72 - 4*y**5/45 - y**4/18 - 2*y**3/3 + y**2/2 - 81. Let r(v) be the third derivative of f(v). Factor r(n).
-(n + 2)*(15*n + 2)/3
Let v be ((-8)/(-10)*10/(-12))/((-4)/36). Let x(u) be the first derivative of 0*u**2 + 0*u - 1/8*u**4 - 1/24*u**v + 0*u**3 + 8 + 3/20*u**5. Factor x(d).
-d**3*(d - 2)*(d - 1)/4
Let k(t) = t**4 - 17*t**3 + 57*t**2 - 73*t + 33. Let b(p) = -4 - 2*p**3 + 0*p + p + p**3 + p**4 + 3 - p**2. Let h(u) = b(u) + k(u). Find q such that h(q) = 0.
1, 2, 4
Let v be (-40 + 39)/((-176)/22). Factor -7/8*j - 3/4 + 0*j**2 + v*j**3.
(j - 3)*(j + 1)*(j + 2)/8
Let f(r) be the third derivative of -r**7/1120 + r**6/96 + 3*r**5/80 - 85*r**3/6 - 25*r**2. Let x(g) be the first derivative of f(g). Factor x(l).
-3*l*(l - 6)*(l + 1)/4
Let a be (-5 - (6 + -10 + -1))*-1. Let b(v) be the third derivative of 1/75*v**5 + 0 + a*v + 1/300*v**6 - 1/15*v**4 - 8/15*v**3 + 4*v**2. Factor b(j).
2*(j - 2)*(j + 2)**2/5
Let u = 1/30 - -47/390. Let a = 2057641/6687460 + 3/514420. Factor a*j**4 + 0*j**2 + 0 + 0*j**3 - u*j**5 + 0*j.
-2*j**4*(j - 2)/13
Let w(u) be the second derivative of -u**6/210 - 9*u**5/70 + 73*u**4/84 + 5*u**3 + 5483*u. Factor w(c).
-c*(c - 5)*(c + 2)*(c + 21)/7
Let j be -51 - 48*216/(-192). Factor 0*c**2 + 0 - 1/5*c**j + 4/5*c.
-c*(c - 2)*(c + 2)/5
Suppose -68*c + 30 = -67*c. Suppose -5*a + 5*n + c = 0, -2*a + a - 12 = 5*n. Solve 6/7*d**a + 18/7*d**4 - 8/7*d + 0 - 16/7*d**2 = 0.
-2/3, 0, 1
Let j(o) be the third derivative of o**6/240 - 55*o**5/24 + 68*o**4/3 - 271*o**3/3 - 3*o**2 + 92*o. Determine g, given that j(g) = 0.
2, 271
Let m(p) be the third derivative of 104*p**2 + 1/150*p**5 - 19/60*p**4 + 0 + 6/5*p**3 + 2*p. Find u, given that m(u) = 0.
1, 18
Suppose -5559 = -81*h + 117*h - 14955. Factor h*v**3 + 0 + 81/2*v**4 + 110*v**2 + 12*v.
v*(v + 6)*(9*v + 2)**2/2
Let u(y) be the third derivative of -y**8/1344 - 11*y**7/210 + 59*y**6/120 - 217*y**5/120 + 341*y**4/96 - 49*y**3/12 - 64*y**2 - 11. What is s in u(s) = 0?
-49, 1, 2
Let d = -47 + 49. Suppose -4*w = -d*w - 8. Factor i**5 - 5*i + 3*i**w + 85*i**3 + 3*i - 3*i**2 - 84*i**3.
i*(i - 1)*(i + 1)**2*(i + 2)
Find f such that -3/5*f**3 - 739470 + 4704/5*f**2 - 367851*f = 0.
-2, 785
Suppose 3 - 43 = -5*p. Factor -5*s**3 + p*s**2 - 20 + 12*s**2 - 5*s**2.
-5*(s - 2)**2*(s + 1)
Suppose -2*v - 15 = -5*y - 5*v, -4*y + 4*v + 44 = 0. Suppose y*h - 14 = -2. Factor 3*c**4 + 25*c**5 - 7*c**2 + 4 - 24*c**5 - c**3 + h*c - 2*c.
(c - 1)**2*(c + 1)*(c + 2)**2
Let h be (3 - (-52)/(-16))*(-4)/1. Let s be ((-20)/(-40))/(h/6). Determine k, given that 21 + 12*k**3 + 6*k + 21*k - s*k**4 + 20*k + 54*k**2 + 13*k = 0.
-1, 7
Let i(o) be the second derivative of 4*o - 1/300*o**6 - 1/15*o**4 - 7/300*o**5 + 0*o**2 + 0 + 11/3*o**3. Let s(q) be the second derivative of i(q). Factor s(u).
-2*(u + 1)*(3*u + 4)/5
Let n(m) be the first derivative of -m**4/18 + 700*m**3/27 + 703*m**2/9 + 704*m/9 - 3022. Suppose n(d) = 0. Calculate d.
-1, 352
Let i(y) be the third derivative of -y**7/40 + 57*y**6/160 - 87*y**5/40 + 59*y**4/8 - 15*y**3 + 1533*y**2. Factor i(u).
-3*(u - 2)**3*(7*u - 15)/4
Let z(u) = u**2 - 8444*u - 373469. Let m be z(-44). Factor 3/5*y**m + 9216/5*y - 98304/5 - 288/5*y**2.
3*(y - 32)**3/5
Let x(n) be the first derivative of -n**7/21 + n**6/3 - 4*n**5/5 + 2*n**4/3 + 59*n + 48. Let l(a) be the first derivative of x(a). Factor l(z).
-2*z**2*(z - 2)**2*(z - 1)
Suppose a - 11 = -4*z, 3*z = a - 35 + 45. Let n(j) be the second derivative of -25/6*j**z + 44*j + 0 - 5/12*j**4 - 15*j**2. Suppose n(v) = 0. What is v?
-3, -2
Suppose 5016/5*y - 9/5*y**4 + 0 + 7509/5*y**3 + 12534/5*y**2 = 0. Calculate y.
-1, -2/3, 0, 836
Let z = 429085/21 - 61276/3. Factor 9/7 - z*x - 60/7*x**2.
-3*(x + 1)*(20*x - 3)/7
Let s(c) be the second derivative of 8*c**6/95 + 317*c**5/190 + 8*c**4/19 - 73*c**3/19 + 26*c**2/19 - 21*c - 5. What is k in s(k) = 0?
-13, -1, 1/8, 2/3
Let y be 11 - 90/6 - -9. Let h(c) be the first derivative of 1/6*c**4 + 0*c - 10/9*c**3 + 15 + 2/3*c**y + 2/3*c**2 - 1/3*c**6. Let h(b) = 0. What is b?
-1, 0, 2/3, 1
Suppose 46*y = -18*y + 192. Suppose -2*h - 2*j = 2*j - 24, -3*j + 11 = -2*h. Let h*r + 16*r**2 - y*r - 7 - 13 + 24*r**3 + 4*r**4 - 23*r = 0. What is r?
-5, -1, 1
Let c(y) be the first derivative of 12/5*y**2 + 0*y - 12 + 8/5*y**3 + 3/10*y**4. Factor c(f).
6*f*(f + 2)**2/5
Suppose -138 = 34*r - 57*r. Let j(l) = l + 4. Let h be j(0). Factor -7*f**2 + f**h + 20*f - 40 + 37*f**2 - 5*f**3 - r*f**4.
-5*(f - 2)*(f - 1)*(f + 2)**2
Let m be -7*3/(-7) + 7. Suppose 111*l = 116*l - m. Suppose -4/9*f**l - 16/9*f - 4/3 = 0. What is f?
-3, -1
Let x(y) be the second derivative of 1682*y**4 - 116*y**3/3 + y**2/3 + 308*y + 2. Solve x(h) = 0 for h.
1/174
Let w be (-8452)/6*6/(-4) + -3. Factor 3157*n - 308*n**2 + 5097*n - 2174*n - w - 3666 + 4*n**3.
4*(n - 38)**2*(n - 1)
Let r(w) be the second derivative of -5/6*w**5 - 28/9*w**3 + 0 - 20*w + 8/45*w**6 + 8/3*w**2 + 19/9*w**4 - 1/63*w**7. Suppose r(k) = 0. What is k?
1, 2
Let m(u) be the first derivative of -u**4/23 - 22*u**3/23 - 31*u**2/23 + 694. Find l such that m(l) = 0.
-31/2, -1, 0
Suppose 190 = -30*l - 290. Let r be 8/(-100)*120/l. Factor 0 + 21*o**3 + r*o - 33/5*o**2 - 15*o**4.
-3*o*(o - 1)*(5*o - 1)**2/5
Let a be 5/(-20) + 58/40. Suppose 4*z = -z + 10. Factor 6/5*d - 12/5*d**z + 0 + a*d**3.
6*d*(d - 1)**2/5
Let j(l) = -l**3 + 27*l**2 - 23*l - 65. Let y be j(26). Factor -156*c - 688 + y*c**2 + 2716 - 10*c**2.
3*(c - 26)**2
Let c = -174570 - -174570. Factor 5/2*g + 17/4*g**2 + 2*g**3 + c + 1/4*g**4.
g*(g + 1)*(g + 2)*(g + 5)/4
Let n = 216 - 213. Factor -28*t - t**3 + 162*t + 21*t**n - 144*t**2 + 92*t - 40 + 2*t.
4*(t - 5)*(t - 2)*(5*t - 1)
Suppose 8*x - 4*g = 20 + 24, -x - 4*g - 17 = 0. Factor -8/17 + 2/17*d**x - 12/17*d**2 + 18/17*d.
2*(d - 4)*(d - 1)**2/17
Let w(c) be the second derivative of -c**4/3 - 1324*c**3/3 - 219122*c**2 - 1262*c. Determine a, given that w(a) = 0.
-331
Factor 1881*r**2 - 359*r**2 + 2677 - 6112*r + 2*r**3 + 700 + 2743.
2*(r - 2)**2*(r + 765)
Let s(t) = -t**3 - 26*t**2 - 49*t - 16. Let b be s(-24). Suppose 38 = b*j + 14. Suppose 0*x - 16/13*x**j + 2/13*x**2 + 0 = 0. Calculate x.
0, 1/8
Let w(f) be the first derivative of -1/135*f**6 - 1/90*f**5 + 24*f + 5/54*f**4 - 1/9*f**3 + 0*f**2 - 31. Let q(z) be the first derivative of w(z). Factor q(p).
-2*p*(p - 1)**2*(p + 3)/9
Let i(w) be the third derivative of -1/224*w**8 - 1/16*w**6 + 4*w**2 + 0 + 0*w**3 + 1/20*w**5 + 0*w + 1/35*w**7 + 0*w**4. Factor i(k).
-3*k**2*(k - 2)*(k - 1)**2/2
Let d(l) be the third derivative of -l**9/7560 + l**8/3360 + l**7/252 + l**6/120 - 3*l**4/2 + 9*l**2. Let o(a) be the second derivative of d(a). Factor o(k).
-2*k*(k - 3)*(k + 1)**2
Let v(i) be the third derivative of i**7/420 - i**5/20 + i**4/6 - 83*i**3/3 + 144*i**2. Let z(a) be the first derivative of v(a). Factor z(h).
2*(h - 1)**2*(h + 2)
Suppose 7 = 4*u + c, -5*u + 1 = 5*c - 4. What is w in 201*w**u - 3264*w - 76*w**3 + 150*w**3 - 77*w**3 - 3468 = 0?
-1, 34
Let k be (-1)/(-1)*-2 - (3 - 7). Suppose -