olve -3*f**3 - 47103*f**2 - 188376*f - 188364 = 0.
-15697, -2
Factor 2*o**3/11 - 14*o**2/11 - 172*o + 1904/11.
2*(o - 34)*(o - 1)*(o + 28)/11
What is o in 2422*o**2 + 128372*o + 318 = 0?
-53, -3/1211
Factor 3*x**2/2 + 4905*x/2 - 29646.
3*(x - 12)*(x + 1647)/2
Factor -8*o**2/3 - 94*o/7 - 10/21.
-2*(o + 5)*(28*o + 1)/21
Let -14*h**5 + 816*h**4 + 330434*h**3 + 1217996*h**2 + 934008*h - 374000 = 0. Calculate h.
-125, -2, 2/7, 187
Determine w so that 2*w**3/5 - 58586*w**2/5 + 429361966*w/5 - 4715895382/5 = 0.
11, 14641
Factor -t**2/9 + 10786*t/9 - 75355/3.
-(t - 10765)*(t - 21)/9
Find k, given that -737*k**2/8 + 28747*k/8 - 39/2 = 0.
4/737, 39
Determine d so that d**2/2 - 514*d + 7098 = 0.
14, 1014
Let w**2/2 + 757*w/2 = 0. Calculate w.
-757, 0
Factor w**3/7 - 50*w**2 - 4*w/7 + 200.
(w - 350)*(w - 2)*(w + 2)/7
Factor -d**3/4 - 541*d**2/4 - 4255*d/4 + 4797/4.
-(d - 1)*(d + 9)*(d + 533)/4
Factor -j**2/4 - 38099*j/2 - 228585/4.
-(j + 3)*(j + 76195)/4
Factor -5*r**2/4 - 52555*r/4.
-5*r*(r + 10511)/4
Suppose -a**2/2 - 2313*a + 9260 = 0. What is a?
-4630, 4
Factor -d**3/5 + 77*d**2/5 + 11174*d/5.
-d*(d - 151)*(d + 74)/5
Suppose -2*d**2/7 - 3204*d/7 + 20210 = 0. What is d?
-1645, 43
Factor -t**3/7 + 7680*t**2/7.
-t**2*(t - 7680)/7
Find u, given that -3*u**3 - 116205*u**2 + 1162275*u - 2905875 = 0.
-38745, 5
Factor -i**2 - 22180*i - 122988100.
-(i + 11090)**2
Factor 30*a**4/7 + 1056*a**3/7 + 9090*a**2/7.
6*a**2*(a + 15)*(5*a + 101)/7
Determine a so that 2*a**2/9 - 267484*a/9 + 8943461282/9 = 0.
66871
Find z such that z**2/3 + 269*z/3 + 1506 = 0.
-251, -18
Let -433*u**2/3 + 4759*u/3 + 44/3 = 0. What is u?
-4/433, 11
Factor 3*d**5 - 8592*d**4 - 242046*d**3 - 2546628*d**2 - 11896269*d - 20831076.
3*(d - 2892)*(d + 7)**4
Factor 2*g**4/9 + 10834*g**3/9 + 2173220*g**2 + 1306828824*g - 1309003248.
2*(g - 1)*(g + 1806)**3/9
Suppose 5*v**3 - 150*v**2 - 585*v + 2970 = 0. Calculate v.
-6, 3, 33
Solve 4*k**2 + 3624*k - 159264 = 0 for k.
-948, 42
Solve 4*k**3/3 - 5516*k**2/3 - 128896*k/3 - 123376/3 = 0 for k.
-22, -1, 1402
Solve 2*y**5/11 - 70*y**4/11 - 1218*y**3/11 - 1586*y**2/11 + 7096*y/11 - 384 = 0 for y.
-11, -4, 1, 48
Determine r, given that r**5/4 - 89*r**4/4 - 375*r**3/4 + 269*r**2/4 + 469*r/2 - 186 = 0.
-4, -2, 1, 93
Let -73441*r**4/9 + 101896*r**3/9 + 213434*r**2/9 - 19176*r - 23409 = 0. What is r?
-1, 459/271
Let -3*l**4 - 375*l**3 - 3759*l**2 + 34647*l - 30510 = 0. Calculate l.
-113, -18, 1, 5
Solve -46*w**4 - 5148*w**3 - 132952*w**2 + 630576*w - 53824 = 0 for w.
-58, 2/23, 4
Factor -2*q**3/5 + 18046*q**2 - 1017546254*q/5 - 3053450886/5.
-2*(q - 22559)**2*(q + 3)/5
Factor 5*c**3/3 + 2560*c**2/3 - 1150720*c/3 - 196812800.
5*(c - 480)*(c + 496)**2/3
Let -20*k**5/3 + 4276*k**4 - 43448*k**3/3 + 13616*k**2 - 10208*k/3 = 0. What is k?
0, 2/5, 1, 2, 638
Find k, given that 4*k**3/5 + 140096*k**2/5 - 280204*k/5 + 140104/5 = 0.
-35026, 1
Factor 2*p**2 - 158776*p + 3151227272.
2*(p - 39694)**2
What is b in -8*b**4 - 28486*b**3 - 49830*b**2 - 14234*b + 7118 = 0?
-3559, -1, 1/4
Find y, given that 2*y**2 - 1264*y - 7656 = 0.
-6, 638
Let -2*d**3/5 + 78*d**2/5 - 92*d + 384/5 = 0. What is d?
1, 6, 32
Find d such that d**5 - 70*d**4 + 441*d**3 + 36*d**2 - 2268*d = 0.
-2, 0, 3, 6, 63
Solve -n**4 + 697*n**3 + 54602*n**2 - 56688*n - 110592 = 0 for n.
-72, -1, 2, 768
Factor -2*o**2/3 + 902*o/3 - 1192.
-2*(o - 447)*(o - 4)/3
Suppose 62*f**5 + 4*f**4 - 682*f**3 - 1160*f**2 - 568*f - 32 = 0. Calculate f.
-2, -1, -2/31, 4
Factor 2*k**2/3 - 13508*k + 68424774.
2*(k - 10131)**2/3
Find c such that -5*c**3 - 35465*c**2 - 212655*c - 318915 = 0.
-7087, -3
Factor -3*t**3 - 9459*t**2 - 7460784*t - 7451328.
-3*(t + 1)*(t + 1576)**2
Find f such that 4*f**2 + 389848*f = 0.
-97462, 0
Factor -2*o**2 - 9024*o - 10179072.
-2*(o + 2256)**2
Factor 12*m**2 - 764632*m - 509760.
4*(m - 63720)*(3*m + 2)
Factor 66*l**2/19 + 469396*l/19 + 28448/19.
2*(l + 7112)*(33*l + 2)/19
Solve -6*z**4/7 - 1566*z**3/7 - 53502*z**2/7 - 102330*z/7 - 50388/7 = 0.
-221, -38, -1
What is m in -4*m**5 + 2416*m**4 - 4812*m**3 - 2416*m**2 + 4816*m = 0?
-1, 0, 1, 2, 602
Find z such that 2*z**5/7 + 18*z**4/7 - 292*z**3 + 2028*z**2 + 100538*z/7 - 112710/7 = 0.
-39, -5, 1, 17
Factor 3*n**3 + 176943*n**2 + 353877*n + 176937.
3*(n + 1)**2*(n + 58979)
Factor -a**3/3 + 1028*a**2/3 - 40876*a + 1300992.
-(a - 896)*(a - 66)**2/3
Determine z, given that z**2/5 + 37104*z/5 + 344176704/5 = 0.
-18552
Factor z**3/3 + 110*z**2/3 - 13847*z/3 - 14168.
(z - 77)*(z + 3)*(z + 184)/3
What is f in 4*f**3 - 540*f**2 - 1696*f + 5520 = 0?
-5, 2, 138
Factor -2*g**3/9 + 64*g**2/9 + 8006*g/9 + 38180/9.
-2*(g - 83)*(g + 5)*(g + 46)/9
Solve -d**2 + 677*d + 678 = 0 for d.
-1, 678
Suppose -2*c**3 + 2894*c**2 + 18*c - 26046 = 0. What is c?
-3, 3, 1447
What is x in -2*x**3/23 - 86146*x**2/23 + 172306*x/23 + 258450/23 = 0?
-43075, -1, 3
Solve -b**4/4 - 161*b**3/4 - 1375*b**2 + 5991*b - 6156 = 0 for b.
-108, -57, 2
Let -5*o**2 - 510360*o - 13023366480 = 0. What is o?
-51036
Factor 2*q**2/7 + 960*q/7 + 94392/7.
2*(q + 138)*(q + 342)/7
Factor -4*y**3/5 + 476*y**2/5 - 464*y/5 - 944/5.
-4*(y - 118)*(y - 2)*(y + 1)/5
Let -5*j**4 - 2285*j**3 - 47850*j**2 = 0. Calculate j.
-435, -22, 0
Determine z, given that 340*z**3 + 444*z**2 - 576*z - 208 = 0.
-2, -26/85, 1
Suppose -c**5 + 19*c**4 - 97*c**3 + 61*c**2 + 98*c - 80 = 0. What is c?
-1, 1, 8, 10
Factor 4*d**4 + 76*d**3 - 11784*d**2 - 346864*d - 335008.
4*(d - 58)*(d + 1)*(d + 38)**2
Factor 2*z**3/5 - 204*z**2/5 + 3186*z/5 - 13608/5.
2*(z - 84)*(z - 9)**2/5
Solve -2*j**5 + 200*j**4 - 4584*j**3 - 20800*j**2 - 21632*j = 0 for j.
-2, 0, 52
Let 3*m**4 + 2674*m**3 - 56451*m**2 + 84854*m + 34656 = 0. Calculate m.
-912, -1/3, 2, 19
Find l, given that -21*l**5 + 747*l**4 - 5502*l**3 - 22968*l**2 + 45024*l - 17280 = 0.
-4, 4/7, 1, 18, 20
Solve z**2 - 2350*z + 28056 = 0 for z.
12, 2338
Factor 5*y**4 - 4765*y**3 + 1142385*y**2 - 3393875*y + 2256250.
5*(y - 475)**2*(y - 2)*(y - 1)
Let 24*t**3 + 18405*t**2 + 3518208*t - 3981312 = 0. Calculate t.
-384, 9/8
What is q in -3*q**3 + 201*q**2 + 19767*q - 19965 = 0?
-55, 1, 121
Find c, given that -c**4/8 + c**3 + 183*c**2/8 - 1035*c/4 + 675 = 0.
-15, 5, 6, 12
Find o such that 32*o**3 + 428*o**2 - 18160*o + 106800 = 0.
-267/8, 10
Find h such that -h**2/3 - 849284*h/3 - 180320828164/3 = 0.
-424642
Suppose -4*b**4 + 36*b**3 + 508*b**2 + 684*b - 1224 = 0. Calculate b.
-6, -3, 1, 17
Factor 3*k**3/8 + 14803*k**2/8 - 12339*k/4 + 1234.
(k - 1)*(k + 4936)*(3*k - 2)/8
Factor -k**2/8 + 3321*k/8 - 415.
-(k - 3320)*(k - 1)/8
Factor -4*l**2 + 113272*l - 801909124.
-4*(l - 14159)**2
Factor -b**2/6 + 1649*b/6 + 1655.
-(b - 1655)*(b + 6)/6
Solve 3*r**4/2 - 2685*r**3 + 2413791*r**2/2 - 4795410*r + 4784694 = 0 for r.
2, 893
Factor -2*j**3 - 20*j**2 - 48*j.
-2*j*(j + 4)*(j + 6)
Factor 5*b**4 - 75*b**3 - 3435*b**2 + 7075*b - 3570.
5*(b - 34)*(b - 1)**2*(b + 21)
Factor -8*d**2 - 1092*d - 1620.
-4*(d + 135)*(2*d + 3)
Factor -x**3 + 21856*x**2 + 21857*x.
-x*(x - 21857)*(x + 1)
Factor 3*h**3/5 + 177*h**2/5 - 10371*h/5 - 2109.
3*(h - 37)*(h + 1)*(h + 95)/5
Factor -4*i**4 + 141*i**3 + 261*i**2 - 74*i.
-i*(i - 37)*(i + 2)*(4*i - 1)
Suppose -2*f**3 + 80*f**2 + 586*f - 31464 = 0. What is f?
-19, 23, 36
Determine a, given that -6*a**2/11 + 38202*a/11 + 382620/11 = 0.
-10, 6377
Find d such that -3*d**4 - 1530*d**3 - 38028*d**2 - 133848*d - 127776 = 0.
-484, -22, -2
Suppose o**3/3 + 17881*o**2/3 + 5960*o = 0. What is o?
-17880, -1, 0
Let 2*n**3/5 - 342042*n**2/5 - 136818*n - 342046/5 = 0. What is n?
-1, 171023
Factor n**4/3 + 3320*n**3/3 + 3313*n**2/3 - 6638*n.
n*(n - 2)*(n + 3)*(n + 3319)/3
Determine x, given that -81*x**5/2 + 46755*x**4/2 - 3993485*x**3 + 178614875*x**2 - 4561232165*x/2 - 4926495721/2 = 0.
-1, 271/9, 259
Let -2*u**3/5 + 274*u**2/5 + 56*u - 552/5 = 0. What is u?
-2, 1, 138
Factor g**3/6 - 22*g**2/3 + 421*g/6 + 171.
(g - 27)*(g - 19)*(g + 2)/6
Factor 10*c**4 + 57325*c**3 - 28665*c**2.
5*c**2*(c + 5733)*(2*c - 1)
Factor -22382*v**3 + 233586*v**2 - 48432*v + 2536.
-2*(19*v - 2)**2*(31*v - 317)
Solve y**3/7 - 124788*y**2/7 + 124787*y/7 = 0 for y.
0, 1, 124787
Let -10*x**3 - 10855*x**2/3 + 615*x + 12670/3 = 0. What is x?
-362, -1, 7/6
Solve -772*q**5 + 10034*q**4 + 99614*q**3 + 166238*q**2 + 77630*q + 200 = 