3, -2, 283
Let 3*u**3/7 - 4236*u**2/7 - 129105*u/7 - 139050 = 0. Calculate u.
-15, 1442
Factor 2*a**2/3 - 6044*a/3.
2*a*(a - 3022)/3
Factor -4*r**3 + 3496*r**2 - 37868*r - 89752.
-4*(r - 863)*(r - 13)*(r + 2)
Factor 4*a**4 + 192*a**3 - 6172*a**2 + 25560*a.
4*a*(a - 18)*(a - 5)*(a + 71)
What is f in 2*f**4/19 + 102196*f**3/19 = 0?
-51098, 0
Factor 4*j**2/5 + 3468*j/5 + 618464/5.
4*(j + 251)*(j + 616)/5
Factor 4*k**3/3 + 184*k**2/3 + 1520*k/3 - 3808/3.
4*(k - 2)*(k + 14)*(k + 34)/3
Factor -q**2 - 10170*q - 40664.
-(q + 4)*(q + 10166)
Determine y so that -4*y**3/3 - 16532*y**2/3 + 4*y/3 + 16532/3 = 0.
-4133, -1, 1
Determine v, given that 3*v**2 - 65760*v + 360364800 = 0.
10960
Factor j**3 - 40*j**2 + 271*j - 480.
(j - 32)*(j - 5)*(j - 3)
Factor j**2/3 - 64646*j - 387880/3.
(j - 193940)*(j + 2)/3
Determine u so that -2*u**3/3 - 790*u**2 - 24768*u + 144976392 = 0.
-774, 363
What is f in -2*f**4/5 - 157688*f**3/5 - 3107872774*f**2/5 + 2486708224*f - 9325510656/5 = 0?
-39424, 1, 3
Factor -2*r**2/3 - 1600*r + 9624.
-2*(r - 6)*(r + 2406)/3
Solve n**4/5 + 912*n**3 + 6935754*n**2/5 + 3525647608*n/5 + 10514644077/5 = 0 for n.
-1519, -3
Solve 2*n**2 + 459*n + 1135 = 0.
-227, -5/2
Factor 2*m**2/15 + 27082*m/5.
2*m*(m + 40623)/15
Find p, given that -3*p**5 + 105*p**4 + 738*p**3 + 96*p**2 - 3936*p = 0.
-4, 0, 2, 41
Factor -3*o**3/4 - 141*o**2 - 10695*o/4 + 833175/2.
-3*(o - 42)*(o + 115)**2/4
Factor -3*l**2 + 573*l - 17784.
-3*(l - 152)*(l - 39)
Solve -5*a**2/3 - 2480*a/3 - 21105 = 0 for a.
-469, -27
Suppose -5*u**3 + 23465*u**2 + 235030*u + 564360 = 0. Calculate u.
-6, -4, 4703
Factor -377*q**4/2 + 18097*q**3/4 - 6*q**2.
-q**2*(q - 24)*(754*q - 1)/4
Factor f**2/2 + 1155*f/2 - 24518.
(f - 41)*(f + 1196)/2
Let -k**2/3 - 46*k - 917/3 = 0. What is k?
-131, -7
Factor -4*d**3 + 36956*d**2 + 110904*d.
-4*d*(d - 9242)*(d + 3)
Suppose a**4/5 + 1798*a**3 - 3*a**2/5 - 26972*a/5 - 3596 = 0. What is a?
-8990, -1, 2
Find l, given that -3*l**2/4 + 435*l - 867 = 0.
2, 578
Factor x**5 + 179*x**4 + 1043*x**3 + 865*x**2.
x**2*(x + 1)*(x + 5)*(x + 173)
Factor 2*h**3/7 + 528328*h**2/7 + 34891309448*h/7.
2*h*(h + 132082)**2/7
Factor -12258*l**2 + 1899*l + 24.
-3*(6*l - 1)*(681*l + 8)
Factor 4*t**3 + 4268*t**2 - 17136*t.
4*t*(t - 4)*(t + 1071)
Suppose -2*o**2/7 - 348038*o/7 - 348036/7 = 0. What is o?
-174018, -1
Factor 2*h**2/5 + 54172*h/5 + 366825698/5.
2*(h + 13543)**2/5
Factor d**2/2 + 37933*d/2.
d*(d + 37933)/2
Let -18*y**5/5 + 969*y**4 - 323991*y**3/5 - 275799*y**2/5 + 32481*y + 21870 = 0. Calculate y.
-1, -1/2, 2/3, 135
Suppose o**5 - 44*o**4 - 251*o**3 + 16566*o**2 + 121968*o = 0. What is o?
-14, -8, 0, 33
Find q, given that q**5/12 - 67*q**4/3 + 1379*q**3 + 95623*q**2/6 + 140251*q/12 - 57963/2 = 0.
-9, -2, 1, 139
Factor -f**3 + 25373*f**2 + 152269*f + 126895.
-(f - 25379)*(f + 1)*(f + 5)
Find q such that -2*q**5 - 26964*q**4 - 90855194*q**3 + 181791288*q**2 - 90909128*q = 0.
-6742, 0, 1
Determine q so that 14*q**5 + 110044*q**4 + 1679772*q**3 + 7390928*q**2 + 7358806*q + 1537620 = 0.
-7845, -7, -1, -2/7
Suppose -2*c**4 - 4298*c**3 - 8588*c**2 = 0. Calculate c.
-2147, -2, 0
Find k such that -3*k**5 + 189*k**4 + 792*k**3 + 804*k**2 = 0.
-2, 0, 67
Find g such that -15*g**3 + 2343*g**2 + 42732*g + 149472 = 0.
-12, -24/5, 173
Determine s, given that s**5/6 - 8*s**4/3 + 6*s**3 + 63*s**2 - 279*s/2 - 567 = 0.
-3, 6, 7, 9
Factor 3*u**3/2 - 9555*u**2 + 133599*u/2 + 76356.
3*(u - 6363)*(u - 8)*(u + 1)/2
Factor -4*r**2/5 + 17554*r/5 - 8776/5.
-2*(r - 4388)*(2*r - 1)/5
Factor -u**4 - 72*u**3 + 355*u**2 + 3966*u + 6840.
-(u - 10)*(u + 3)**2*(u + 76)
Solve -q**3/5 + 7408*q**2/5 - 110931*q/5 + 266148/5 = 0.
3, 12, 7393
Factor 2*x**4 - 724*x**3 - 32760*x**2 - 469616*x - 2217152.
2*(x - 404)*(x + 14)**3
Let -4*u**3 + 2080*u**2 + 2092*u - 4168 = 0. Calculate u.
-2, 1, 521
Find i such that -14*i**5/5 + 2356*i**4/5 + 11354*i**3/5 + 11096*i**2/5 - 4152*i/5 = 0.
-3, -2, 0, 2/7, 173
Suppose -225*o**4/7 + 6585*o**3/7 - 1689*o**2/7 - 1473*o/7 - 174/7 = 0. Calculate o.
-1/5, 2/3, 29
Find d such that -7*d**2 + 11800*d + 3372 = 0.
-2/7, 1686
Factor -2*a**2/5 - 13244*a/5 + 13246/5.
-2*(a - 1)*(a + 6623)/5
Factor 3*f**4 + 37752*f**3 + 118692264*f**2 - 475222176*f + 475373232.
3*(f - 2)**2*(f + 6294)**2
Factor 2*q**2/7 + 48*q - 3560/7.
2*(q - 10)*(q + 178)/7
Factor 3*m**2/2 - 25707*m/2 + 115560.
3*(m - 8560)*(m - 9)/2
Suppose 3*s**5 - 255*s**3 - 600*s**2 + 1332*s + 1680 = 0. What is s?
-7, -4, -1, 2, 10
Factor -2*a**4/7 - 446*a**3 - 37272*a**2/7 - 148832*a/7 - 198272/7.
-2*(a + 4)**3*(a + 1549)/7
Suppose 45*z**3 + 811180*z**2 + 3655717865*z + 812341690 = 0. What is z?
-9013, -2/9
Determine g so that 5*g**4 + 5135*g**3 - 20655*g**2 - 36035*g + 51550 = 0.
-1031, -2, 1, 5
Determine b, given that -21*b**4/4 - 130860*b**3 + 673023*b**2/4 - 74781*b/2 = 0.
-24927, 0, 2/7, 1
Factor p**2/2 - 384*p - 3865/2.
(p - 773)*(p + 5)/2
What is u in -10*u**2/9 + 15766*u/9 - 3152/3 = 0?
3/5, 1576
Suppose 5*w**3 - 690*w**2 + 12385*w - 11700 = 0. What is w?
1, 20, 117
What is u in 2*u**3/3 - 50*u**2/9 - 124*u/9 = 0?
-2, 0, 31/3
Factor l**2/2 - 86822*l + 173643/2.
(l - 173643)*(l - 1)/2
Solve 7*z**4/3 - 2546*z**3/3 - 11627*z**2 - 67816*z/3 - 16588/3 = 0 for z.
-11, -2, -2/7, 377
Solve -w**2 - 4946*w + 9896 = 0.
-4948, 2
Suppose 5*m**2 + 21175*m + 358530 = 0. What is m?
-4218, -17
Suppose -32*p**5/19 - 286*p**4/19 - 878*p**3/19 - 1096*p**2/19 - 440*p/19 + 32/19 = 0. What is p?
-4, -2, -1, 1/16
Solve m**2 - 1534*m + 131313 = 0.
91, 1443
Solve -3*y**3/5 - 10179*y**2/5 - 28413*y - 496713/5 = 0.
-3379, -7
Factor 6*d**2 - 3871239*d + 1935618.
3*(d - 645206)*(2*d - 1)
Let -169*r**3/4 + 7345*r**2/4 - 3363*r/4 + 387/4 = 0. Calculate r.
3/13, 43
Find q such that 27*q**4 + 1830*q**3 + 28779*q**2 - 72420*q + 14652 = 0.
-37, -33, 2/9, 2
Find i, given that -20*i**4 - 685*i**3 - 7450*i**2 - 25340*i - 5880 = 0.
-14, -6, -1/4
Solve 4*o**2 + 193716*o + 193712 = 0.
-48428, -1
Factor 4*k**4 + 28*k**3 - 2083*k**2 + 2060*k - 513.
(k - 19)*(k + 27)*(2*k - 1)**2
Let 3*z**4 - 4185*z**3 - 8526*z**2 + 201168*z = 0. Calculate z.
-8, 0, 6, 1397
Factor -3*v**3 - 9414*v**2 + 208197*v - 1147080.
-3*(v - 11)**2*(v + 3160)
Solve 2*c**3 - 108*c**2 + 1648*c - 4992 = 0.
4, 24, 26
Factor 2*l**2/3 + 60002*l/3 - 780364/3.
2*(l - 13)*(l + 30014)/3
Determine z so that -5*z**3 - 705*z**2 - 4740*z - 6700 = 0.
-134, -5, -2
Let 2*n**3/5 - 852*n**2/5 + 5008*n/5 + 2688 = 0. Calculate n.
-2, 8, 420
Factor -7*o**3 + 11443*o**2 + 37668*o + 9828.
-(o - 1638)*(o + 3)*(7*o + 2)
Suppose -2*y**2 + 35888*y - 160993568 = 0. What is y?
8972
Solve -3*d**3 - 91401*d**2 + 274242*d + 365640 = 0.
-30470, -1, 4
Let -4*s**3/7 - 1888*s**2/7 - 32620*s - 1302936/7 = 0. Calculate s.
-233, -6
Factor -z**3 - 988*z**2 + 1979*z - 990.
-(z - 1)**2*(z + 990)
Find v, given that 15*v**5 - 102100*v**4 - 238405*v**3 + 612850*v**2 - 272360*v = 0.
-4, 0, 2/3, 1, 6809
Factor -2*p**3/5 + 52*p**2/5 + 368*p/5 + 512/5.
-2*(p - 32)*(p + 2)*(p + 4)/5
Factor -2*w**4/7 - 4*w**3 - 102*w**2/7 - 108*w/7.
-2*w*(w + 2)*(w + 3)*(w + 9)/7
What is l in 240*l**3 - 17276*l**2/3 - 80*l + 1152 = 0?
-9/20, 4/9, 24
Let -5*d**3 + 4350*d**2 + 13095*d = 0. Calculate d.
-3, 0, 873
Determine l so that -20*l**4 + 384*l**3 - 1336*l**2 + 1152*l - 180 = 0.
1/5, 1, 3, 15
Factor 2*x**2/13 + 104176*x/13 - 416736/13.
2*(x - 4)*(x + 52092)/13
Factor i**3 - 420*i**2 + 43011*i.
i*(i - 243)*(i - 177)
Suppose 6*r**5 - 87*r**4 + 276*r**3 + 399*r**2 - 930*r + 336 = 0. Calculate r.
-2, 1/2, 1, 7, 8
Let 4*c**3 + 308*c**2 + 5296*c + 4992 = 0. Calculate c.
-52, -24, -1
Let -2*z**2/9 - 28474*z/9 = 0. Calculate z.
-14237, 0
Factor -h**4 - 121*h**3 - 524*h**2 + 112996*h.
-h*(h - 26)*(h + 41)*(h + 106)
Determine s so that -6*s**5/11 - 74*s**4/11 - 6*s**3/11 + 210*s**2/11 - 76*s/11 - 48/11 = 0.
-12, -2, -1/3, 1
Factor -5*h**2 + 2505*h + 2510.
-5*(h - 502)*(h + 1)
Suppose 180*f**3 - 1084380*f**2 + 361445*f - 30120 = 0. What is f?
1/6, 6024
Factor -264196*p**2/3 + 365968*p/3 - 126736/3.
-4*(257*p - 178)**2/3
Suppose a**3/4 - 9*a**2 + 99*a/4 = 0. Calculate a.
0, 3, 33
Solve -2*l**5 + 112*l**4 - 1172*l**3 - 4208*l**2 - 4442*l - 1520 = 0 for l.
-1, 19, 40
Let 5*t**4/6 + 1995*t**3/2 - 23995*t**2/6 + 10005*t/2 - 6005/3 = 0. Calculate t.
-1201, 1, 2
Factor -c**