**3 + 8*p**5 + p**5 + p**2 - p**3 - p**4.
-p**2*(p - 1)*(p + 1)**2
Let l(c) = 56*c**3 + 49*c**2 - 89*c + 14. Let s(q) = -113*q**3 - 97*q**2 + 177*q - 32. Let a(w) = 13*l(w) + 6*s(w). Solve a(t) = 0 for t.
-2, -1/10, 1
Let v be (-1*(-11 + 17))/((-324)/57 + 4). Let r(t) be the first derivative of -15/4*t - t**3 + 3/32*t**4 + 8 - v*t**2. Factor r(k).
3*(k - 10)*(k + 1)**2/8
Let s = 95 + -93. Let u be (148/s)/((-16)/(-8)). Let u - 5*c**5 - 78*c + 22*c**4 - 86*c**3 + 3*c**5 + 3 - 50*c + 154*c**2 = 0. Calculate c.
1, 2, 5
Suppose 0 = 6*p - 139 + 7. Suppose -3*k + 3*m = 0, -k + 3 = -5*m + 15. Find j, given that -24*j**k - 8*j**2 - p*j**5 - 7*j**2 + 48*j**4 - 6*j**3 + 19*j**2 = 0.
0, 2/11, 1
Let w(l) be the first derivative of 133/9*l**3 + 20*l**2 + 49/12*l**4 + 12*l - 71. Let w(d) = 0. What is d?
-1, -6/7
Let q(z) be the first derivative of 2/7*z**2 - 8/21*z**3 + 8/7*z - 16 - 1/7*z**4. Factor q(r).
-4*(r - 1)*(r + 1)*(r + 2)/7
Let j(r) = r**4 - 113*r**3 - 775*r**2 - 686*r - 10. Let o(f) = 56*f**3 + 388*f**2 + 342*f + 4. Let m(b) = 2*j(b) + 5*o(b). Solve m(z) = 0 for z.
-13, -1, 0
Factor 56016*n - 113 - 111881*n - n**2 + 55979*n.
-(n - 113)*(n - 1)
Let f(r) = 147*r**2 - 708*r. Let y(q) = -710*q**2 + 3539*q. Let h(a) = 29*f(a) + 6*y(a). What is d in h(d) = 0?
-234, 0
Let x be 5/(-5)*(-8)/28. Suppose -2*b = -q - 8 - 2, -5*b - 5*q = 5. Find w such that -2/7*w**b + 4/7*w**2 + 0 - x*w = 0.
0, 1
Let l(j) be the second derivative of -11*j**7/70 - 9*j**6/5 - 51*j**5/10 + 3*j**4 + 181*j**3/10 + 9*j**2 + 653*j. Solve l(o) = 0.
-5, -3, -1, -2/11, 1
Let f(q) be the first derivative of 2*q**3/15 - 3*q**2 + 72*q/5 + 1535. Factor f(g).
2*(g - 12)*(g - 3)/5
Let g = -8075 + 242263/30. Let d(t) be the third derivative of 0*t - 1/105*t**7 - 1/10*t**6 - t**4 - 4/3*t**3 - g*t**5 - 8*t**2 + 0. Factor d(n).
-2*(n + 1)**2*(n + 2)**2
Suppose r + 2*q - 42 = -q, -2*q - 142 = -5*r. Let w = -27 + r. Solve -5*o - 2*o**4 - 3*o + 6*o**w + 0*o**4 = 0.
-1, 0, 2
Let g(f) be the second derivative of 0 + 8000*f**2 - 37*f + 52/15*f**6 - 80/3*f**4 - 2/21*f**7 - 184/5*f**5 + 5600/3*f**3. Determine y so that g(y) = 0.
-2, 10
Let y(p) = -p**3 - 9*p**2 - p - 7. Let r be y(-9). Factor -83*c + 0*c**3 + 3*c**2 - 5*c**4 - 8*c**r + 83*c - 10*c**3.
-5*c**2*(c + 1)**2
Let v = 1684643/5 + -336928. Factor 0*c + 18/5*c**3 - 27/5*c**2 - v*c**4 + 0.
-3*c**2*(c - 3)**2/5
Let m(k) be the first derivative of 49*k**6/16 - 3003*k**5/40 - 2493*k**4/16 - 175*k**3/2 - 33*k**2/2 - 1430. Determine f so that m(f) = 0.
-1, -2/7, 0, 22
Let a(g) = -2*g**3 - 2*g**2 - 6*g + 2. Let c(q) = 8*q**3 - 900*q**2 + 976*q + 5484. Let f(b) = 6*a(b) + c(b). Factor f(r).
-4*(r - 3)*(r + 2)*(r + 229)
Let q = -462 - -464. Factor 20*w**q + 18*w**2 - 34*w**2 + 26*w + 38*w.
4*w*(w + 16)
Let x(j) be the third derivative of -40/3*j**3 + 2*j**5 - 7 + 0*j - 20/3*j**4 - 5/42*j**7 + 7*j**2 + 1/3*j**6. Solve x(h) = 0 for h.
-2, -2/5, 2
Factor 50/7*g**3 - 344/7 - 1712/7*g - 2110/7*g**2.
2*(g - 43)*(5*g + 2)**2/7
Suppose 6*x - 9*x - a + 325 = 0, 0 = x - 3*a - 105. Suppose -767*b + x = -758*b. Factor -18*t + 27/4*t**2 - 3/4*t**3 + b.
-3*(t - 4)**2*(t - 1)/4
Let p = 89 - 84. Solve 3*o**2 + 10*o**4 - 8*o**2 - 3*o**2 + 5*o - 2*o**2 - p*o**5 = 0 for o.
-1, 0, 1
Let f(y) = -3967*y - 79340. Let o be f(-20). Let o - 20*t + 95/3*t**2 - 40/3*t**3 + 5/3*t**4 = 0. What is t?
0, 1, 3, 4
Let r = -93995 + 93998. Factor -3/4*k**4 + 3/2*k**r - 3/2*k + 3/4 + 0*k**2.
-3*(k - 1)**3*(k + 1)/4
Suppose 3*v = u + 131, 3*v + 25*u - 20*u - 119 = 0. Factor -3*r - 49 + 10*r - r**3 + v.
-(r - 2)*(r - 1)*(r + 3)
Let s(v) be the second derivative of 82*v + 1/21*v**4 - 10/21*v**3 + 0 + 0*v**2. Let s(z) = 0. Calculate z.
0, 5
Factor 796322*a + 1262*a**2 + 502479182/3 + 2/3*a**3.
2*(a + 631)**3/3
Let u(s) be the third derivative of 0 + 11/100*s**5 + 2/15*s**3 + 7/30*s**4 + 0*s - 7/75*s**6 + 8/525*s**7 - 12*s**2. Factor u(i).
(i - 2)**2*(4*i + 1)**2/5
Let m(i) be the first derivative of -92*i**5/5 + 117*i**4 + 52*i**3/3 - 234*i**2 + 40*i + 707. Determine f, given that m(f) = 0.
-1, 2/23, 1, 5
Let b(l) = -2*l**2 + 12*l + 3. Suppose -3*c + 4*c = 6. Let s be b(c). What is j in 6*j**2 - 6*j**4 - 5*j**3 - 3*j**5 + 4*j**3 + 4*j**s = 0?
-2, -1, 0, 1
Let a be (168 + -168)/(2/(-2)). Let l(v) be the second derivative of 1/13*v**3 - 8*v + a - 1/78*v**4 + 4/13*v**2. Factor l(s).
-2*(s - 4)*(s + 1)/13
Factor -3655*p**2 - 8*p + 1215*p**2 + 1215*p**2 + 1221*p**2 + 252.
-4*(p - 7)*(p + 9)
Let b(d) = 3*d**2 - 927*d + 3417. Let x(q) = 2*q + 19. Let w(m) = -b(m) - 9*x(m). Factor w(t).
-3*(t - 299)*(t - 4)
Suppose 11*g - 10 = 45. Let 12 - 46*m + 32*m**2 + 52*m**3 - 4192*m**g - 44*m**4 - 16*m**3 + 4202*m**5 = 0. What is m?
-1, 2/5, 1, 3
Determine c so that 0 + 24/7*c**4 - 40/7*c + 2/7*c**5 + 38/7*c**3 - 24/7*c**2 = 0.
-10, -2, -1, 0, 1
Let a(x) be the third derivative of x**8/100800 + x**7/2520 + x**5/30 - 4*x**3/3 + x**2 - 5*x. Let f(j) be the third derivative of a(j). Factor f(q).
q*(q + 10)/5
Suppose -5 + 0 = 3*x + 4*m, -5*m - 5 = 5*x. Let h = 8 + x. Let f(s) = -20*s**3 + 29*s - 9. Let n(c) = 5*c**3 - 7*c + 2. Let g(i) = h*n(i) + 2*f(i). Factor g(l).
5*l*(l - 1)*(l + 1)
Determine v, given that -848*v**3 + 388*v - 1765*v**3 - 793*v**3 - 3306 - 10308*v - 9924*v**2 + 94*v**3 - 2*v**4 = 0.
-1653, -1
Let v(m) = -m - 46. Let f be v(-46). Let a(j) be the second derivative of 0 + 6*j + 1/30*j**4 + 1/5*j**3 + f*j**2. What is k in a(k) = 0?
-3, 0
Let i(l) be the first derivative of -l**5/105 + 5*l**4/14 - 4*l**3/3 + 40*l**2 + 2*l + 70. Let s(o) be the second derivative of i(o). Factor s(d).
-4*(d - 14)*(d - 1)/7
Let d = -671 + 711. Let u be (10 + -13)*1/((-75)/d). Factor -u + 12/5*a - 4/5*a**2.
-4*(a - 2)*(a - 1)/5
Let o(w) be the third derivative of w**6/24 - 65*w**5/48 + 85*w**4/6 - 40*w**3/3 - w**2 + 74*w. Factor o(z).
5*(z - 8)**2*(4*z - 1)/4
Let y(u) be the first derivative of u**4/20 + 14*u**3/5 + 69*u**2/2 + 160*u - 1122. Factor y(s).
(s + 5)**2*(s + 32)/5
Let z(q) be the third derivative of -9*q**8/112 + 39*q**7/70 + 29*q**6/40 + q**5/4 - 2*q**2 - 2*q - 25. Factor z(h).
-3*h**2*(h - 5)*(3*h + 1)**2
Find s such that -1/10*s**2 - 28/5*s + 285/2 = 0.
-75, 19
Let d be 4/6*(4 + 2). Let x be 38627/(-722) - (-162)/3. Determine s so that 0*s + 0*s**3 - 1/2*s**d + s**2 - x = 0.
-1, 1
Let s = -50 - -56. Suppose -s = -5*f + 7*f + 5*k, -3*k = -3*f + 12. Factor 0*t + t - 4*t + 2*t**f - 7*t.
2*t*(t - 5)
Factor -3*m**4 - 1495*m**2 + 441*m**2 - 2759*m**2 - 16 + 1911*m**3 + 16 + 1905*m.
-3*m*(m - 635)*(m - 1)**2
Let v(y) be the second derivative of y**6/1200 - y**5/300 - y**4/60 + 10*y**3 - y**2/2 - 54*y. Let p(u) be the second derivative of v(u). Factor p(j).
(j - 2)*(3*j + 2)/10
Let y = -347416 - -347418. Find k such that 38/7*k**3 + 0 - 2/7*k**4 - 10*k**y + 34/7*k = 0.
0, 1, 17
Suppose 9*x - 16*x = 22*x - 2610. Let s(b) be the first derivative of 9*b**4 + 46*b**3 + 75*b - 8 + 3/5*b**5 + x*b**2. Factor s(g).
3*(g + 1)**2*(g + 5)**2
Suppose 582652*c**2 - 44983 - 21143 + 13494 + 45*c**4 - 57618 + 9415*c**3 - 387975*c - 93887*c**2 = 0. Calculate c.
-105, -2/9, 1
Factor 3*h**2 + 903 - 4362*h - 5817 + 549.
3*(h - 1455)*(h + 1)
Let r(n) be the second derivative of 8/3*n**4 - 4/15*n**6 + 2/21*n**7 + 4*n**2 - 14/3*n**3 - 2*n - 28 - 2/5*n**5. Factor r(i).
4*(i - 1)**4*(i + 2)
Let s(v) = 7*v**2 - 52*v + 684. Let f(r) = -3*r**2 + 23*r - 342. Let y(b) = -9*f(b) - 4*s(b). Determine g so that y(g) = 0.
-18, 19
Let s(a) = -101*a**2 + 336*a - 285. Let y(d) = d**2 - 1. Let j(i) = -2*i**3 + 9*i**2 - 2*i - 5. Let p be j(4). Let l(o) = p*y(o) + s(o). Factor l(t).
-2*(7*t - 12)**2
Let p be 164/3362 + (-4)/82. Factor 0*l**2 + 0*l + p + 2*l**5 - 2/3*l**4 + 0*l**3.
2*l**4*(3*l - 1)/3
Suppose 5*d = 3*r - 212, 10*r = 5*r + 20. Let w = d + 52. Solve 3*i**3 - i**3 - 5*i**3 + w*i = 0 for i.
-2, 0, 2
Suppose -260*y + 72*y + 134*y = -108. Factor -4/3*v**y + 3*v - 2/3.
-(v - 2)*(4*v - 1)/3
Let o = -14837/28 + 530. Let c(t) be the first derivative of 3/7*t**3 - o*t**4 + 24 - 3/7*t**2 + 0*t. Find u, given that c(u) = 0.
0, 1, 2
Let f(a) be the first derivative of -15*a**4/16 - 3*a**3/4 + 153*a**2/4 - 30*a - 449. What is i in f(i) = 0?
-5, 2/5, 4
Let q(b) be the third derivative of 5*b**4/8 - 99*b**3/2 - 276*b**2. Let u be q(20). What is t in 0