m**5/20 - 163*m**4/3 + 53138*m**3/3 + 4*m + 79. Factor k(n).
n*(n - 326)**2
Determine r so that 69*r**2 + r**3 + r**3 - 49*r + 3600 + 754*r - 23*r**2 - r**3 = 0.
-16, -15
Let s(u) be the first derivative of u**3/3 + 77*u**2/2 + 222*u - 6168. Solve s(p) = 0.
-74, -3
Let b(f) be the first derivative of 5*f**4/8 + 815*f**3/3 + 33615*f**2 + 131220*f + 2683. Suppose b(r) = 0. What is r?
-162, -2
Suppose 3*x - 4*q + 41 = -0*q, 5*q = 25. Let d be x/70*0*(-1 - -2). Solve -2/11*o**2 + d*o + 2/11 = 0 for o.
-1, 1
Let n be (-54)/(-22) - (-55)/((-18150)/(-180)). Factor 1/8*d + 3/4*d**n + 0 + 7/8*d**2.
d*(d + 1)*(6*d + 1)/8
Let g(p) be the second derivative of p**5/10 - 7*p**4/3 - 17*p**3 + 3*p - 28. Let g(n) = 0. What is n?
-3, 0, 17
Let c(p) = -4*p**2 - 36*p - 438. Let y be -12*(-3)/(-6) - (1 - 1). Let j(n) = -17*n**2 - 142*n - 1751. Let t(k) = y*j(k) + 26*c(k). Factor t(w).
-2*(w + 21)**2
Let x(n) be the third derivative of n**5/90 - n**4/2 + 8*n**3 + 2*n**2 - 44. Find b, given that x(b) = 0.
6, 12
Let x = -1898549957/1185 + 1602152. Let p = x - 1/237. Solve 0*v + 2/15*v**3 + p*v**2 - 2/15*v**5 + 0 - 2/15*v**4 = 0 for v.
-1, 0, 1
Let m(d) be the second derivative of -d**7/7560 - d**6/240 - d**5/45 + 29*d**4/12 + d - 54. Let t(y) be the third derivative of m(y). Factor t(g).
-(g + 1)*(g + 8)/3
Suppose -87594593 + 26*j**3 + 12*j**2 + 87594593 + 10*j**4 = 0. What is j?
-2, -3/5, 0
Let o(a) = 2*a**2 + 7*a - 15. Let s be o(-5). Let h be s + 8/36*9. Find i, given that h*i + 14/13*i**4 + 36/13*i**3 + 6/13 + 44/13*i**2 + 2/13*i**5 = 0.
-3, -1
Let r(l) be the second derivative of -56/3*l**7 - 658/15*l**6 + 51*l + 24*l**2 + 726/5*l**5 - 88/3*l**3 - 169/3*l**4 + 0. Determine j so that r(j) = 0.
-3, -1/4, 2/7, 1
Let 72*x**2 - 2693*x**3 + 2690*x**3 - 40 - 26*x**4 + 11*x**4 - 8 + 12*x = 0. Calculate x.
-2, -1, 4/5, 2
Suppose -66*j + 87*j - 1932 = 0. Factor -j*d + 810*d**3 + 870*d**2 + 8 - 56*d - 2385*d**3.
-(7*d - 2)*(15*d - 2)**2
Let i = 49614 + -248049/5. Factor -i*s**2 + 6 - 99/5*s.
-3*(s + 5)*(7*s - 2)/5
Factor 4*d**4 - 491*d**3 - 1149*d**3 + d**4 + 107672*d**2 + 26808*d**2.
5*d**2*(d - 164)**2
Let c be (-24)/(-14)*(-1281)/(-244) - 14 - -10. Factor 4/3*t**2 + 4/3*t**c - 4/3*t**4 + 0*t + 0 - 4/3*t**3.
4*t**2*(t - 1)**2*(t + 1)/3
Let t be (-3)/(-6)*0*(-1)/5. Factor 50*o - 4*o**2 + 106 - 45 - 6 - o**2 + t*o.
-5*(o - 11)*(o + 1)
Let p(o) = -18*o**2 + 468*o. Let z be p(26). Let b(v) be the first derivative of 0*v**2 - 1/30*v**5 - 1/9*v**3 + 1/8*v**4 + 6 + z*v. Factor b(q).
-q**2*(q - 2)*(q - 1)/6
Factor 35376/5*h + 52144224/5 + 6/5*h**2.
6*(h + 2948)**2/5
Let l be 6/(-315) - 20592/(-22680). Suppose 2/9*j**4 - l*j - 8/3 + 2*j**2 + 4/3*j**3 = 0. Calculate j.
-3, -2, 1
Suppose 8 = 2*i + 4. Suppose -3*p = -2*u + 13, p = 4*u - 9 - i. Let -2*t**u - t**2 + 4*t**2 - 6*t**2 + 5*t = 0. Calculate t.
0, 1
Let y = 28/39 - 2/39. Let t(c) = -15296*c - 214142. Let i be t(-14). Let -10/9*d + 4/9 - 2/9*d**4 + 2/9*d**3 + y*d**i = 0. What is d?
-2, 1
Let o = -11033/3 + 3678. Let u(s) be the first derivative of 1/2*s**2 + 8 - 1/4*s**4 - s + o*s**3. Suppose u(h) = 0. Calculate h.
-1, 1
Let u(m) be the third derivative of m**7/42 + 11*m**6/12 + 53*m**5/12 - 95*m**4/6 + 2757*m**2. Factor u(l).
5*l*(l - 1)*(l + 4)*(l + 19)
Let m = -105 - -105. Let g(f) be the third derivative of 2/35*f**7 + m*f**3 + 1/30*f**6 - 1/6*f**4 - 10*f**2 + 0 - 1/5*f**5 + 0*f. Factor g(k).
4*k*(k - 1)*(k + 1)*(3*k + 1)
Find y such that 275*y + 237*y - 16*y**4 + 1790*y**2 - 638*y**2 - 3481*y**2 + 504*y**3 + 559*y - 130 = 0.
1/4, 5, 26
Let l(y) = -3*y**2 - 33*y - 7. Let x(g) = g**3 - 21*g**2 + 38*g - 4. Let d be x(19). Let q(v) = v**2 + 16*v + 4. Let a(r) = d*l(r) - 7*q(r). Factor a(z).
5*z*(z + 4)
Factor -12*j - 107 - 45*j - 3*j**2 + 60 - 36 - 151.
-3*(j + 6)*(j + 13)
Let v(s) = 19*s**3 - s**2 + 96*s - 104. Let w(l) = -15*l**3 + l**2 - 97*l + 103. Let n(y) = -4*v(y) - 5*w(y). What is c in n(c) = 0?
-11, 1, 9
Let b = -57851/5 + 11571. Let v(a) be the first derivative of -b*a**5 + 48*a - 12*a**3 - 18 - 8*a**2 + 6*a**4. Factor v(p).
-4*(p - 3)*(p - 2)**2*(p + 1)
Suppose 21104*y**5 - 40*y**2 + 4*y**3 + 18*y**3 - 21105*y**5 + y**4 = 0. Calculate y.
-5, 0, 2, 4
Let h(m) be the third derivative of -7*m**6/360 + 11*m**5/30 - 5*m**4/2 + 23*m**3 - 153*m**2. Let p(n) be the first derivative of h(n). Factor p(u).
-(u - 2)*(7*u - 30)
Let o be 3/9 + (-107)/(-3). Let t = o - 34. Suppose -112*h - 23*h**3 + 136*h**t - 32 + 0 - 13*h**3 = 0. Calculate h.
-2/9, 2
Let w(j) be the third derivative of -j**6/30 + 4*j**5/3 + 73*j**4/6 - 184*j**3/3 + 337*j**2. Factor w(p).
-4*(p - 23)*(p - 1)*(p + 4)
Let b(w) be the second derivative of w**9/9072 - w**8/2520 - w**7/105 - 71*w**3/2 - w + 4. Let c(f) be the second derivative of b(f). Factor c(h).
h**3*(h - 6)*(h + 4)/3
Let l(i) be the first derivative of i**5/10 + 45*i**4/8 + 43*i**3/3 - 71. Factor l(h).
h**2*(h + 2)*(h + 43)/2
Let c(n) = n**2 - 2*n - 11. Let r be c(4). Let s(f) = -4*f**2 - 3*f + 36. Let l(i) = -44*i**2 - 32*i + 396. Let d(h) = r*l(h) + 32*s(h). Factor d(t).
4*(t - 3)*(t + 3)
What is p in -78*p**3 + 919 + 80*p + 44*p**2 - 1018 + 99 - 2*p**5 - 44*p**4 = 0?
-20, -2, -1, 0, 1
Suppose -9*c = -32 + 5, -4*d - 6 = -2*c. Let f(m) be the third derivative of 0*m**4 + 0*m - 1/80*m**6 + 1/40*m**5 + 0*m**3 + 24*m**2 + d. Factor f(a).
-3*a**2*(a - 1)/2
Let g = 255264 - 255260. What is s in 2/5*s**g + 0*s - 4*s**3 - 22/5*s**2 + 0 = 0?
-1, 0, 11
Suppose 0 = 2*l - 6*l. Suppose 5*z + 4*h - 53 = l, -5*z - 6*h + 62 = -5*h. Factor 9 + 21 + 115*a - 7*a**2 - z*a**2.
-5*(a - 6)*(4*a + 1)
Let p(t) be the first derivative of -11*t**3/8 - 513*t**2/16 - 135*t/4 + 3239. Factor p(b).
-3*(b + 15)*(11*b + 6)/8
Let t(z) be the third derivative of z**8/1344 + 199*z**7/840 + 3397*z**6/160 + 28613*z**5/240 - 637*z**4/6 - 2401*z**3/2 - 1821*z**2. Let t(s) = 0. What is s?
-98, -3, -1, 1
Suppose 111*c**4 - 360*c**3 + 24 + 21*c**5 - 204 - 810*c**2 + 243*c**3 - 876*c - 93*c**2 = 0. Calculate c.
-5, -2, -1, -2/7, 3
Let t(x) be the second derivative of x**6/24 - x**5/6 - 65*x**4/24 - 25*x**3/3 - 183*x**2/2 + 302*x. Let g(o) be the first derivative of t(o). Factor g(i).
5*(i - 5)*(i + 1)*(i + 2)
Let m be 74 - 57 - (17 + 0). Let t(n) be the third derivative of m - 1/6*n**4 - 4/3*n**3 + 0*n + 1/15*n**5 - 20*n**2. Let t(u) = 0. Calculate u.
-1, 2
Let w(c) be the first derivative of c**3 + 1/8*c**4 + 0*c - 1/20*c**5 + 8 + 4*c**2. Let l(f) be the second derivative of w(f). What is p in l(p) = 0?
-1, 2
Let h(i) be the first derivative of -i**5/10 - 5*i**4/4 - 3*i**3/2 + 27*i**2 + 54*i + 1396. Suppose h(o) = 0. Calculate o.
-6, -1, 3
Let d be (4/(-15))/(2/(-10)). Suppose 411*w + 104 = 101*w + 1034. Factor 16/3 - 4/3*v**2 - d*v**w + 16/3*v.
-4*(v - 2)*(v + 1)*(v + 2)/3
Determine a, given that -2/11*a**2 - 5484672/11 + 6624/11*a = 0.
1656
Let i(p) be the first derivative of 2*p**3/21 - 60*p**2/7 + 12. Factor i(u).
2*u*(u - 60)/7
Suppose g - 17/8*g**2 + 0 = 0. Calculate g.
0, 8/17
Let k(l) be the second derivative of -5/2*l**4 + 0*l**5 + 1/6*l**6 - 152*l + 0 - 15/2*l**2 - 20/3*l**3. Solve k(y) = 0.
-1, 3
Suppose 0 = 3*r - 0 - 6. Let y = 2156 - 2153. Factor 0*f**2 + 24*f**2 + 30*f**4 + f**5 - 6*f**5 - 20*f + 36*f**r - 65*f**y.
-5*f*(f - 2)**2*(f - 1)**2
Suppose 36 = 4*w + 2*l, -41*l = 3*w - 46*l - 27. Let g(o) = -37*o + 338. Let s be g(w). Factor 0 + 3/2*b**4 - 9/4*b**3 - 3*b**2 + 3/4*b**s + 3*b.
3*b*(b - 1)**2*(b + 2)**2/4
Let h(z) be the first derivative of 2*z**6/3 + 116*z**5/5 + 268*z**4 + 4288*z**3/3 + 3712*z**2 + 4096*z + 7213. Factor h(n).
4*(n + 1)*(n + 4)**3*(n + 16)
Suppose 1064 - 1503 = v. Let s = v - -439. Factor 0*q**2 + 2/9*q**5 + s + 0*q**4 - 2/9*q**3 + 0*q.
2*q**3*(q - 1)*(q + 1)/9
Let v = -7 - 38. Let f be 10*(v/(-10) - 4). Suppose 5 + k - k - f*k**2 + 0*k = 0. Calculate k.
-1, 1
Let g(b) be the second derivative of 3*b**7/70 - 13*b**6/40 + 4*b**5/5 - b**4/2 + 41*b**2/2 - 12*b. Let h(r) be the first derivative of g(r). Factor h(o).
3*o*(o - 2)**2*(3*o - 1)
Let q(z) be the first derivative of 2*z**6/3 - 44*z**5/5 + 24*z**4 + 48*z**3 + 215. Suppose q(k) = 0. What is k?
-1, 0, 6
Let w(z) = -7*z - 4. Let o be w(-1). Let k be -4*((-18)/3)/o. Factor 18*n - n**2 - 4*n**2 + k*n**2.
3*n*(n + 6)
Let j(y) be the third deri