e of 3*p**4/4 - 113*p**3 + 498*p**2 - 660*p + 512. Factor o(n).
3*(n - 110)*(n - 2)*(n - 1)
Find w, given that 279*w**4 + 9938*w**2 - 70724*w**2 - 39204*w + 5*w**5 + 59*w**4 - 2742*w**3 - 5*w**5 - 6*w**5 = 0.
-9, -2/3, 0, 33
Let 277 - 194*j - 646*j + 336*j**3 - 15*j**4 - 403 + 402 + 243*j**2 = 0. Calculate j.
-2, 2/5, 1, 23
Let v = 94681/5 + -18935. Factor -2/5 - 1/10*d**4 - v*d - 13/10*d**2 - 3/5*d**3.
-(d + 1)**2*(d + 2)**2/10
Let s(o) be the first derivative of -8 + 1/5*o**5 + 15*o - 2*o**2 + 1/3*o**4 - 2/3*o**3. Let b(a) be the first derivative of s(a). Suppose b(h) = 0. What is h?
-1, 1
Let h(x) be the second derivative of -x**7/42 + 7*x**6/10 - 19*x**5/10 - x**4/6 + 13*x**3/2 - 19*x**2/2 + 86*x - 2. Factor h(b).
-(b - 19)*(b - 1)**3*(b + 1)
Determine w, given that 244/5 - 368/5*w**3 - 116/5*w**2 + 74*w - 128/5*w**4 - 2/5*w**5 = 0.
-61, -2, -1, 1
Let k(x) be the first derivative of -10*x + 1/18*x**4 - 1/3*x**2 + 9 - 1/18*x**3 + 1/60*x**5. Let s(h) be the first derivative of k(h). Factor s(p).
(p - 1)*(p + 1)*(p + 2)/3
Let y(a) be the first derivative of 0*a - 1/204*a**4 - 1/170*a**5 + 2/51*a**3 - 13/2*a**2 - 2. Let q(o) be the second derivative of y(o). Factor q(z).
-2*(z + 1)*(3*z - 2)/17
Factor -33/2*y + 1/4 + 65/4*y**2.
(y - 1)*(65*y - 1)/4
Let d(x) = -x**2 - 5075*x - 25348. Let n be d(-5). Find t such that -588 - 1/3*t**n + 28*t = 0.
42
Let a(j) = -47*j - 1782. Let k be a(-38). Let l(r) be the first derivative of 20 - 5*r**3 - 3/4*r**k - 9*r - 21/2*r**2. Let l(i) = 0. Calculate i.
-3, -1
Suppose -6*d + 9594 = 3*r - 2010, -2*d + 11600 = 3*r. Find l, given that -l**2 + 0*l**4 + r*l**3 - 3870*l**3 + 3*l**4 - 6*l**4 = 0.
-1, -1/3, 0
Let h(c) = 1286*c + 207380. Let b(s) = s**2 - 1285*s - 207386. Let k(u) = 4*b(u) + 6*h(u). Factor k(m).
4*(m + 322)**2
Let g(l) be the second derivative of 3*l**5/20 + 23*l**4/4 + 40*l**3 + 114*l**2 - 1520*l. Factor g(a).
3*(a + 2)**2*(a + 19)
Let y(l) = 10*l**3 - 170*l**2 + 140*l + 10. Let a(u) = 5*u**3 - 85*u**2 + 72*u + 4. Let b(n) = 5*a(n) - 2*y(n). What is w in b(w) = 0?
0, 1, 16
Let k be (-13)/(-1)*(-37)/(31746/(-12)). Suppose -k*s**3 + 7/11*s**5 + 0 - 5/11*s**4 + 0*s**2 + 0*s = 0. What is s?
-2/7, 0, 1
Suppose 2*r - 25 = 35. Suppose -r*n - 20 = -34*n. Factor f**2 - 76 - n*f**2 + 36*f + 44.
-4*(f - 8)*(f - 1)
Suppose -154*h + 96*h - 185*h = -486. Find s such that 1/4*s**3 + 0 + 1/2*s**4 + 1/4*s**5 + 0*s + 0*s**h = 0.
-1, 0
Factor 15840*c**2 + 107847*c + 55503*c - 356*c**4 - 179681 + 361*c**4 - 4 + 490*c**3.
5*(c - 1)*(c + 33)**3
Let f(j) = -4*j**3 + 7088*j**2 + 28*j - 7080. Let m(a) = -a**3 + 2363*a**2 + 10*a - 2360. Let b(x) = -3*f(x) + 8*m(x). Determine u so that b(u) = 0.
-1, 1, 590
Let j(p) be the second derivative of -5*p**9/1512 - p**8/140 - p**7/420 + p**3/3 + 11*p**2/2 - 12*p - 2. Let b(d) be the second derivative of j(d). Factor b(f).
-2*f**3*(f + 1)*(5*f + 1)
Let m(i) = 5 + 0 - 4*i**2 + 5 + i**3 - 4 - 2*i**3. Let x be m(-4). Determine l, given that -9/2*l - 3/2*l**2 + x = 0.
-4, 1
Solve 5*p**2 + 8*p**2 - 9 + 12*p + 13*p**2 + 25*p**2 - 54*p**2 = 0 for p.
1, 3
Suppose 2*p = 3*c - 92, -3*c - 2*p + 63 + 25 = 0. Let -4*g**2 - c + 14*g**2 - 15*g**4 - 10*g**3 - 5*g**5 + 35 + 15*g = 0. Calculate g.
-1, 1
Let c(r) be the second derivative of 2 + 0*r**4 + 0*r**2 + 0*r**3 - 12*r + 1/63*r**7 + 2/45*r**6 + 1/30*r**5. Suppose c(x) = 0. Calculate x.
-1, 0
Let d(f) be the third derivative of -f**5/40 + 89*f**4/16 + 168*f**3 + 4307*f**2. Factor d(t).
-3*(t - 96)*(t + 7)/2
Suppose 5*g - 4 = -2*t - 3, -5*t + g = -16. Find d such that 5*d**t + d**3 + 21*d**5 - 558*d**4 + 0*d**3 + 585*d**4 = 0.
-1, -2/7, 0
Solve 115 - 162*u - 499 - 749 - 607 - 3*u**2 + 321 = 0 for u.
-43, -11
Let d(c) be the first derivative of 3/8*c**4 + 177/4*c**2 + 87/2*c + 31/2*c**3 + 103. Factor d(a).
3*(a + 1)**2*(a + 29)/2
Suppose -48*g + 89*g = -2 + 2. Let k(f) be the second derivative of 4/15*f**3 - 1/50*f**5 - 5*f - 1/30*f**4 + 4/5*f**2 + g. Factor k(d).
-2*(d - 2)*(d + 1)*(d + 2)/5
Suppose 8*y = 228 - 164. Suppose 0 = -25*c + y*c. Solve c + 2/11*k**4 + 0*k**3 + 4/11*k - 6/11*k**2 = 0.
-2, 0, 1
Let k(f) be the first derivative of 3*f**4/4 - 64*f**3/7 + 90*f**2/7 + 1296*f/7 + 653. What is d in k(d) = 0?
-2, 36/7, 6
Let c(p) = 8*p**3 + 24*p**2 + 14*p - 4. Let l(k) = k + 2. Suppose -f = -129 + 133. Let r(w) = f*l(w) - c(w). Factor r(z).
-2*(z + 2)*(2*z + 1)**2
Suppose -2*k + 8 = -c - 5*k, -8 = 2*c + 4*k. Let m(d) be the first derivative of 0*d + 0*d**2 + 1/8*d**c - 6 - 1/3*d**3. What is t in m(t) = 0?
0, 2
Let m = -42751 + 11157781/261. Let q = 32/29 + m. Determine b so that 0 + q*b + 10/9*b**3 + 4/9*b**4 + 8/9*b**2 = 0.
-1, -1/2, 0
Let c be (210/385)/(48/176). Let 0*s + 0 - 2/9*s**3 + 4/9*s**c = 0. What is s?
0, 2
Let n(k) be the second derivative of -3*k**5/20 - 30*k**4 - 3477*k**3/2 + 11163*k**2 + 1917*k. Factor n(p).
-3*(p - 2)*(p + 61)**2
Let b(x) = x**3 + 6*x**2 - 13*x + 27. Let n be b(-8). Determine v so that 29*v + 0 + 27*v - 19 - 14*v**4 + 98*v**2 + 4*v**n - 5 = 0.
-2, -1, 2/7, 3
Suppose -57 = -r - 5*k, r - 162*k + 9 = -161*k. Factor 8/7*d**3 + 40/7*d + 2/7*d**4 - r - 36/7*d**2.
2*(d - 1)**3*(d + 7)/7
Let l(q) be the third derivative of q**6/900 - q**5/100 - q**4/15 + 43*q**3/2 + 4*q**2 + 11*q. Let h(s) be the first derivative of l(s). Factor h(u).
2*(u - 4)*(u + 1)/5
Factor 80*q**3 - 10158*q**2 - 278*q - 5*q**4 + 10038*q**2 - 42*q + 560.
-5*(q - 14)*(q - 2)**2*(q + 2)
Let a be 2197/(-12)*298220/(-1147). Factor -395/3*s**4 - 5/2*s**5 - a - 7865/3*s**3 - 23660*s**2 - 516295/6*s.
-5*(s + 13)**4*(3*s + 2)/6
Let c(m) be the first derivative of m**7/5880 - 11*m**6/2520 + m**5/30 - 4*m**3 + 2*m - 95. Let r(s) be the third derivative of c(s). Factor r(o).
o*(o - 7)*(o - 4)/7
Factor -138/7*z - 36/7*z**2 - 2/7*z**3 - 104/7.
-2*(z + 1)*(z + 4)*(z + 13)/7
Let x(u) be the first derivative of -u**3/12 + 115*u**2/8 - 113*u/2 - 291. Factor x(v).
-(v - 113)*(v - 2)/4
Let m(o) be the first derivative of -o**3/4 + 9*o**2 - 357*o/4 - 1690. Factor m(u).
-3*(u - 17)*(u - 7)/4
Let 52*w**2 - 1781*w + 20*w**2 - 2*w**3 + 48*w**2 + 3460*w - 1911*w = 0. What is w?
0, 2, 58
Determine p so that 9*p - 10*p**2 - 133 + 31*p - 107 + 35*p**2 - 5*p**3 = 0.
-3, 4
Let b(j) = 9*j**4 - 167*j**3 + 325*j**2 - 451*j + 199. Let f(o) = 3*o**4 - 57*o**3 + 108*o**2 - 150*o + 66. Let s(z) = 6*b(z) - 17*f(z). Factor s(y).
3*(y - 6)*(y - 2)**2*(y - 1)
Let j(w) = -24*w**4 - 162*w**3 + 660*w**2 - 14*w - 28. Let s(v) = -5*v**4 - 32*v**3 + 132*v**2 - 3*v - 6. Let c(y) = 6*j(y) - 28*s(y). Factor c(n).
-4*n**2*(n - 3)*(n + 22)
Factor 85412 + 1788*y - 485030 + 8*y**2 - 10*y**2.
-2*(y - 447)**2
Suppose 13*a - 16*a + 54 = 0. Suppose 2*r - a = -2*p, -5*p + r + 15 = -0*r. Let -17 + 17 - p*w + 2*w**3 + 2*w**3 = 0. What is w?
-1, 0, 1
Suppose -5*o - 21 = 14*h - 9, 4*h = 4*o + 40. Factor -23/12 + 1/12*g**h - 11/6*g.
(g - 23)*(g + 1)/12
Suppose s = 3*r + 48, -38104*r = 2*s - 38106*r - 36. Let 6/7*z**2 + 6/7*z**s - 6/7*z**4 - 6/7*z**5 + 0*z + 0 = 0. What is z?
-1, 0, 1
Let h(v) be the third derivative of 0*v + 0*v**3 + 1/132*v**4 - 1/330*v**5 - 31*v**2 + 0. Let h(l) = 0. Calculate l.
0, 1
Let a(k) be the second derivative of -14*k - 62/15*k**6 - 2/21*k**7 + 766/3*k**4 - 38*k**5 + 4 + 578*k**2 - 1666/3*k**3. Find m, given that a(m) = 0.
-17, 1
Let y(p) be the third derivative of p**5/180 + 7*p**4/8 + 220*p**3/9 - 4072*p**2. Factor y(g).
(g + 8)*(g + 55)/3
Let u be 8 - (-36)/(-30)*5. Factor 3*b - 5*b + 64*b**u - 62*b**2 + 0*b - 4*b.
2*b*(b - 3)
Let u be -1 + 6/4 - 232/272. Let b = u - -131/34. Factor -3/2*i**4 + 0 + b*i**2 - i**3 - i.
-i*(i - 1)*(i + 2)*(3*i - 1)/2
Let d(q) be the third derivative of q**6/960 + q**5/30 + 17*q**4/48 + 5*q**3/3 - 1349*q**2. Factor d(s).
(s + 2)*(s + 4)*(s + 10)/8
Let n(d) = -13*d**3 - 4*d**2 - 2*d + 1. Let k be n(-1). Suppose 0 = -7*s + 5*s + k*s. What is v in s*v + 0 - 12/13*v**2 + 2/13*v**3 = 0?
0, 6
Suppose 7*d - 8*d = 0. Suppose f - 677 = -x, d*f - 2*f - 5*x = -1360. Factor -10*w + 6*w + f*w**5 + 52*w + 1128*w**3 - 1440*w**4 - 384*w**2.
3*w*(3*w - 2)**2*(5*w - 2)**2
Let h = -19 - -20. Factor -h - 8 + r**2 - 1576*r + 1576*r.
(r - 3)*(r + 3)
Let o(k) be the first derivative of 4/5*k**5 + 44*k**3 - 11*k**4 - 10*k**2 + 298 - 200*k. Factor o(c).
4*(c - 5)**2*(c -