54552996.
-4*(h + 3693)**2
Suppose 2*y**3/3 - 10*y**2/3 - 4*y = 0. Calculate y.
-1, 0, 6
Factor b**4/6 - 5*b**3/6 + b**2/2 + 5*b/6 - 2/3.
(b - 4)*(b - 1)**2*(b + 1)/6
Factor -2*q**3 + 446*q**2 + 452*q - 896.
-2*(q - 224)*(q - 1)*(q + 2)
Suppose -4*k**2 - 56*k + 204 = 0. Calculate k.
-17, 3
Solve -2*b**5/13 - 36*b**4/13 - 210*b**3/13 - 392*b**2/13 = 0 for b.
-7, -4, 0
Let y**5/7 - 5*y**4/7 - 2*y**3/7 + 10*y**2/7 + y/7 - 5/7 = 0. What is y?
-1, 1, 5
Factor -4*s**2/3 + 92*s/3 - 160.
-4*(s - 15)*(s - 8)/3
Factor 2*l**3/3 + 20*l**2/3 + 22*l + 24.
2*(l + 3)**2*(l + 4)/3
Factor -z**4/4 - 39*z**3/2 - 19*z**2 + 39*z/2 + 77/4.
-(z - 1)*(z + 1)**2*(z + 77)/4
Determine r so that r**2/2 + 1005*r/2 = 0.
-1005, 0
Factor -4*i**3/5 + 44*i**2/5 - 104*i/5 + 64/5.
-4*(i - 8)*(i - 2)*(i - 1)/5
Factor 2*c**3/7 + 74*c**2/7 - 320*c/7 + 328/7.
2*(c - 2)**2*(c + 41)/7
Let s**5/5 + 21*s**4/5 + 147*s**3/5 + 343*s**2/5 = 0. What is s?
-7, 0
Determine w, given that 18*w**4/7 + 41*w**3/7 + 8*w**2/7 - 4*w/7 = 0.
-2, -1/2, 0, 2/9
Factor z**2/4 - 677*z/2 + 458329/4.
(z - 677)**2/4
Factor 9*y**3/5 + 6*y**2 + 33*y/5 + 12/5.
3*(y + 1)**2*(3*y + 4)/5
Find c, given that -14*c**5/15 - 136*c**4/15 + 82*c**3/15 + 76*c**2/3 - 392*c/15 + 16/3 = 0.
-10, -2, 2/7, 1
Factor -p**3/6 + 5*p**2/2 - 9*p/2 + 13/6.
-(p - 13)*(p - 1)**2/6
Factor -4*f**2/5 + 38*f - 94/5.
-2*(f - 47)*(2*f - 1)/5
Determine n, given that -3*n**3/5 + 21*n**2/5 + 114*n/5 - 144 = 0.
-6, 5, 8
Factor -f**4/8 + 693*f**3/4 - 478861*f**2/8 - 240471*f/2 - 120409/2.
-(f - 694)**2*(f + 1)**2/8
Factor r**5 + 22*r**4 + 40*r**3.
r**3*(r + 2)*(r + 20)
Factor 4*x**3 + 696*x**2 + 1380*x + 688.
4*(x + 1)**2*(x + 172)
Factor 5*y**3 - 110*y**2 - 5*y + 110.
5*(y - 22)*(y - 1)*(y + 1)
Factor 2*j**2/15 - 134*j/15 + 44/5.
2*(j - 66)*(j - 1)/15
Factor -g**4/6 - 5*g**3/2 + 26*g**2/3 - 6*g.
-g*(g - 2)*(g - 1)*(g + 18)/6
Let 147*a**2 - 378*a + 243 = 0. Calculate a.
9/7
Factor -5*h**3/4 + 625*h**2/2 - 2440*h + 4840.
-5*(h - 242)*(h - 4)**2/4
Solve -8*v**4 - 892*v**3 + 2272*v**2 - 912*v = 0.
-114, 0, 1/2, 2
Suppose 3*u**3/2 - 1170*u**2 - 7047*u/2 = 0. Calculate u.
-3, 0, 783
Find q such that q**5 - 4*q**4 + 4*q**3 + 2*q**2 - 5*q + 2 = 0.
-1, 1, 2
Factor -l**5 + 28*l**3 + 16*l**2 - 192*l - 256.
-(l - 4)**2*(l + 2)**2*(l + 4)
Determine v, given that -3*v**3/2 - 36*v**2 - 303*v/2 - 171 = 0.
-19, -3, -2
Determine u, given that 2*u**3/11 + 1926*u**2/11 + 618246*u/11 + 66152322/11 = 0.
-321
Factor 5415*k**2 + 912*k + 192/5.
3*(95*k + 8)**2/5
Factor 9*i**5/4 - 7653*i**4/4 + 819173*i**3/2 - 2434605*i**2/2 + 4853949*i/4 - 1615441/4.
(i - 1)**3*(3*i - 1271)**2/4
Suppose h**2/4 - 3*h/4 - 1 = 0. Calculate h.
-1, 4
Factor -i**5/6 + 23*i**4/6 - 20*i**3 - 24*i**2.
-i**2*(i - 12)**2*(i + 1)/6
Factor -3*a**3/2 + 129*a/2 + 63.
-3*(a - 7)*(a + 1)*(a + 6)/2
Factor 42*v**2/11 - 12*v/11 - 144/11.
6*(v - 2)*(7*v + 12)/11
Factor -b**4/9 + 4*b**3/9 + 19*b**2/9 + 14*b/9.
-b*(b - 7)*(b + 1)*(b + 2)/9
Find t such that -2*t**3/5 - 264*t**2/5 + 2208*t/5 - 896 = 0.
-140, 4
Factor 13*c**2/4 - 101*c/2 + 88.
(c - 2)*(13*c - 176)/4
Factor -5*q**3 + 110*q**2 - 605*q.
-5*q*(q - 11)**2
Let g**5/2 + 3*g**4/2 - 3*g**3/2 - 11*g**2/2 - 3*g = 0. Calculate g.
-3, -1, 0, 2
Suppose 4*o**3/5 - 2584*o**2/5 + 5152*o/5 = 0. Calculate o.
0, 2, 644
Determine g so that -12*g**5/7 + 57*g**4/7 - 9*g**3/7 - 102*g**2/7 - 24*g/7 = 0.
-1, -1/4, 0, 2, 4
Suppose -21*q**5/4 - 237*q**4/4 - 927*q**3/4 - 1527*q**2/4 - 249*q - 45 = 0. What is q?
-5, -3, -2, -1, -2/7
Solve 45*m**5/2 + 123*m**4/2 - 18*m**3 - 90*m**2 + 24*m = 0 for m.
-2, 0, 4/15, 1
Factor -5*z**2 - 315*z.
-5*z*(z + 63)
Solve 3*w**4/5 + 276*w**3/5 + 5454*w**2/5 - 41748*w/5 + 7203 = 0.
-49, 1, 5
What is c in -2*c**2/17 - 48*c/17 + 224/17 = 0?
-28, 4
Determine d so that 4*d**4/7 - 36*d**3/7 + 116*d**2/7 - 156*d/7 + 72/7 = 0.
1, 2, 3
What is a in -3*a**4 - 45*a**3 - 189*a**2 - 147*a = 0?
-7, -1, 0
Solve 4*d**5 + 116*d**4 + 220*d**3 + 108*d**2 = 0.
-27, -1, 0
Factor 5*f**4 + 40*f**3 - 50*f**2 - 40*f + 45.
5*(f - 1)**2*(f + 1)*(f + 9)
Let 12150*r**4 - 6615*r**3 + 276*r**2 - 3*r = 0. Calculate r.
0, 1/45, 1/2
Factor 2*d**3 - 674*d**2 + 57120*d - 56448.
2*(d - 168)**2*(d - 1)
Determine j, given that -39*j**2/5 + 9*j - 6/5 = 0.
2/13, 1
Solve 2*q**2/15 + 254*q/15 + 84/5 = 0.
-126, -1
Let -5*s**3 + 100*s**2 - 185*s + 90 = 0. Calculate s.
1, 18
Suppose -d**4 - 55*d**3 - 53*d**2 + 55*d + 54 = 0. Calculate d.
-54, -1, 1
Factor -u**2/4 - 7*u/4 - 3.
-(u + 3)*(u + 4)/4
Find s, given that 2*s**3/9 + 8*s**2/9 - 2*s/9 - 8/9 = 0.
-4, -1, 1
Factor 4*n**3 + 24*n**2 - 28*n.
4*n*(n - 1)*(n + 7)
Find z such that -2*z**4 - 862*z**3 - 10152*z**2 - 40352*z - 53632 = 0.
-419, -4
Find j such that -5*j**4 + 25*j**3 - 10*j**2 - 40*j = 0.
-1, 0, 2, 4
Factor -3*f**2/2 - 429*f + 2601/2.
-3*(f - 3)*(f + 289)/2
Factor 2*d**3/15 - 364*d**2/15 + 1128*d - 2160.
2*(d - 90)**2*(d - 2)/15
Factor -4*l**3 + 108*l**2 - 288*l.
-4*l*(l - 24)*(l - 3)
Factor 5*w**2 - 7510*w - 15040.
5*(w - 1504)*(w + 2)
Determine y so that y**3/10 + y**2/2 = 0.
-5, 0
Solve -2*b**3/7 + 22*b**2/7 + 24*b/7 = 0.
-1, 0, 12
Factor -4*j**4 + 104*j**3 - 708*j**2 - 288*j + 8640.
-4*(j - 12)**2*(j - 5)*(j + 3)
Factor -4*v**4/3 - 128*v**3/3 - 512*v**2 - 8192*v/3 - 16384/3.
-4*(v + 8)**4/3
Solve c**4 - 2167*c**3 - 6507*c**2 - 6509*c - 2170 = 0.
-1, 2170
Factor 4*i**4 - 12*i**3 + 12*i**2 - 4*i.
4*i*(i - 1)**3
Factor -2*j**3/5 - 14*j**2 - 256*j/5 - 248/5.
-2*(j + 2)**2*(j + 31)/5
Factor d**4/4 + 5*d**3/4 - 11*d**2/4 - 33*d/4 - 9/2.
(d - 3)*(d + 1)**2*(d + 6)/4
Determine t, given that -2*t**2/7 + 32280*t/7 - 130249800/7 = 0.
8070
Determine p, given that 4*p**5 + 16*p**4 - 80*p**3 + 40*p**2 + 76*p - 56 = 0.
-7, -1, 1, 2
Find f such that 16*f**4/11 - 498*f**3/11 + 18*f**2/11 + 1394*f/11 - 930/11 = 0.
-15/8, 1, 31
What is o in -5*o**5 + 400*o**4 - 1550*o**3 + 2300*o**2 - 1525*o + 380 = 0?
1, 76
Factor -13*j**2/6 + 2*j/3.
-j*(13*j - 4)/6
Factor f**2/3 - 7*f/3 - 10.
(f - 10)*(f + 3)/3
Let 2*o**3/11 + 884*o**2/11 - 2666*o/11 + 1780/11 = 0. Calculate o.
-445, 1, 2
Factor -2*j**3/5 - 42*j**2/5 - 44*j.
-2*j*(j + 10)*(j + 11)/5
Suppose 2*h**2/5 - 54*h/5 + 52/5 = 0. Calculate h.
1, 26
Factor 75*r**4 + 310*r**3 + 340*r**2 + 40*r.
5*r*(r + 2)**2*(15*r + 2)
Factor l**4 - 7*l**3 - 354*l**2 + 3052*l + 7448.
(l - 14)**2*(l + 2)*(l + 19)
Factor z**3 - 13*z + 12.
(z - 3)*(z - 1)*(z + 4)
Suppose -v**2 + 78*v + 160 = 0. What is v?
-2, 80
Factor 2*o**3/11 + 512*o**2/11 + 32768*o/11.
2*o*(o + 128)**2/11
Factor 15*h**4 - 114*h**3 + 267*h**2 - 144*h - 108.
3*(h - 3)**2*(h - 2)*(5*h + 2)
Solve 3*r**2 + 414*r + 14283 = 0 for r.
-69
Find m, given that 2*m**5 - 21*m**4/2 + 7*m**3 + 24*m**2 - 9*m - 27/2 = 0.
-1, -3/4, 1, 3
Find v such that 5*v**5 - 13*v**4 - 86*v**3 - 92*v**2 - 24*v = 0.
-2, -1, -2/5, 0, 6
Solve 2*x**5/7 - 2*x**4/7 - 10*x**3/7 + 10*x**2/7 + 8*x/7 - 8/7 = 0 for x.
-2, -1, 1, 2
Solve -4*x**5 + 32*x**4 - 20*x**3 - 56*x**2 = 0 for x.
-1, 0, 2, 7
Factor n**3 + 12*n**2 - 27*n + 14.
(n - 1)**2*(n + 14)
Suppose 2*w**2 - 68*w + 578 = 0. What is w?
17
Factor -2*h**3 - 336*h**2 + 4998*h - 17836.
-2*(h - 7)**2*(h + 182)
Factor -3*b**2/7 - 18*b/7 + 480/7.
-3*(b - 10)*(b + 16)/7
Solve 3*j**2/5 + 53*j/2 - 45/2 = 0.
-45, 5/6
Factor -3*p**2 - 9159*p + 9162.
-3*(p - 1)*(p + 3054)
Find r, given that -2*r**2 + 86*r - 704 = 0.
11, 32
Factor -2*h**3 + 4*h**2/7 + 2*h - 4/7.
-2*(h - 1)*(h + 1)*(7*h - 2)/7
Determine j, given that -8*j**4 - 34*j**3 + 34*j + 8 = 0.
-4, -1, -1/4, 1
Let 6*q**5/7 - 15*q**4/7 - 72*q**3/7 - 3*q**2 + 30*q/7 = 0. What is q?
-2, -1, 0, 1/2, 5
Let -z**3/3 + 20*z**2 - 332*z/3 + 144 = 0. Calculate z.
2, 4, 54
Factor 2*d**3/5 - 28*d**2/5 + 14*d + 20.
2*(d - 10)*(d - 5)*(d + 1)/5
Let 70*z**2 - 365*z + 75 = 0. Calculate z.
3/14, 5
Find k such that -k**5/3 - 10*k**4 + 32*k**3/3 + 10*k**2 - 31*k/3 = 0.
-31, -1, 0, 1
What is q in 4*q**4 - 16*q**3 + 24*q**2 - 16*q + 4 = 0?
1
Factor -2*v**4 + 13*v**3/2 - 15*v**2/2 + 7*v/2 - 1/2.
-(v - 1)**3*(4*v - 1)/2
Let -2*w**5/13 - 430*w**4/13 - 23750*w**3/13 - 68690*w**2/13 - 67840*w/13 - 22472/13 = 0. What is w?
-106, -1
Factor 5*a**2 - 235*a.
5*a*(a - 47)
Factor 5*v**4 + 1390*v**3 + 99340*v**2 + 379490*v + 281535.
5*(v + 1)*(v + 3)*(v + 137)**2
Let -27*w**2 - 303*w - 66 = 0. Calculate w.
-11, -2/9
Solve 2*c**