
-33662, -1
Factor -578*i**4/3 + 111248*i**3/3 - 5379104*i**2/3 + 837632*i - 98304.
-2*(i - 96)**2*(17*i - 4)**2/3
Factor 2*h**3/9 - 202*h**2 - 128570*h/9 - 42250/3.
2*(h - 975)*(h + 1)*(h + 65)/9
Find z, given that 5*z**3 + 355*z**2 + 6990*z + 37800 = 0.
-42, -20, -9
Determine q, given that 4*q**3/3 + 10244*q**2/3 - 4*q/3 - 10244/3 = 0.
-2561, -1, 1
Factor -3*m**2/5 + 7293*m + 72942/5.
-3*(m - 12157)*(m + 2)/5
Find c, given that 4*c**3/5 - 532*c**2/5 - 1376*c - 2320 = 0.
-10, -2, 145
Factor -4*h**3 - 648*h**2 + 34272*h.
-4*h*(h - 42)*(h + 204)
Factor 2*f**3 + 55*f**2 + 129*f - 936.
(f - 3)*(f + 24)*(2*f + 13)
Find s such that -4*s**4 + 4152*s**3 + 223648*s**2 + 3339264*s + 10045440 = 0.
-24, -4, 1090
Determine r, given that r**3/3 + 622*r**2/3 + 3680*r/3 - 9856/3 = 0.
-616, -8, 2
Suppose 3*k**2 + 1910544*k + 304181531328 = 0. Calculate k.
-318424
Solve -y**5 - 82*y**4 + 1036*y**3 + 1198*y**2 - 1035*y - 1116 = 0 for y.
-93, -1, 1, 12
Solve -s**2/9 + 11603*s/3 - 139220/9 = 0.
4, 34805
Find n, given that -2*n**5 + 1044*n**4 - 6218*n**3 + 13440*n**2 - 12392*n + 4128 = 0.
1, 2, 516
What is x in x**5/2 - 54*x**4 + 1679*x**3 - 10884*x**2 - 54047*x/2 - 14406 = 0?
-1, 12, 49
Solve k**3/6 + 31*k**2 + 1073*k/6 - 210 = 0.
-180, -7, 1
Suppose -7*i**4 - 114*i**3 - 319*i**2 - 264*i - 52 = 0. Calculate i.
-13, -2, -1, -2/7
Determine k so that 2*k**3 + 86312*k**2 - 172630*k + 86316 = 0.
-43158, 1
Determine p, given that -2*p**5 - 10*p**4 + 66*p**3 + 98*p**2 - 344*p + 192 = 0.
-8, -3, 1, 4
Factor s**3 + 48397*s**2 + 585591600*s + 585543204.
(s + 1)*(s + 24198)**2
Let 5*z**3 - 3665*z**2 + 677075*z - 1998375 = 0. Calculate z.
3, 365
Let 5*t**3 + 91440*t**2 - 274365*t = 0. What is t?
-18291, 0, 3
Factor j**2 - 108*j/5 + 576/5.
(j - 12)*(5*j - 48)/5
Solve 5*v**3/4 + 87705*v**2/4 + 383333475*v/4 - 11190552625/4 = 0.
-8785, 29
Suppose 2*g**3 + 1220*g**2 - 2448*g = 0. What is g?
-612, 0, 2
Let -2*f**4 + 104*f**3 + 672*f**2 + 1376*f + 928 = 0. What is f?
-2, 58
Factor -x**2/4 + 121*x/2 - 717/4.
-(x - 239)*(x - 3)/4
Factor -p**3 + 429*p**2 - 4215*p + 10475.
-(p - 419)*(p - 5)**2
Solve -b**4/2 - 51*b**3/2 + 1959*b**2/2 - 19261*b/2 + 28677 = 0.
-79, 6, 11
Solve -3*m**2/5 + 20793*m/5 - 41574/5 = 0 for m.
2, 6929
Let 3*g**2 - 4446*g - 22305 = 0. Calculate g.
-5, 1487
Factor 2*d**3/17 + 296*d**2/17 + 14602*d/17 + 240100/17.
2*(d + 49)**2*(d + 50)/17
What is l in 3*l**2/4 - 202605*l/4 + 506475/2 = 0?
5, 67530
Suppose 2*i**2 - 522378*i + 1044748 = 0. What is i?
2, 261187
Solve -4*d**3 + 408*d**2 - 2684*d + 2280 = 0.
1, 6, 95
Suppose 686*d**4/5 + 2366*d**3 - 38312*d**2/5 - 10216*d/5 + 96 = 0. What is d?
-20, -2/7, 2/49, 3
What is v in v**3/3 + 5338*v**2 - 16017*v = 0?
-16017, 0, 3
Solve 300*s**3 - 6120*s**2 - 191673*s - 1011933 = 0.
-93/10, 39
Factor 4*z**3 - 4472*z**2 + 192956*z + 197432.
4*(z - 1073)*(z - 46)*(z + 1)
Factor y**2/4 + 25497*y/2 + 254945/4.
(y + 5)*(y + 50989)/4
What is w in -w**5/7 + 563*w**4/7 - 96058*w**3/7 + 4426984*w**2/7 + 4717984*w/7 - 9049472/7 = 0?
-2, 1, 76, 244
Solve 5*m**3 - 8540*m**2 + 17045*m + 25590 = 0.
-1, 3, 1706
Determine o, given that -2*o**2 - 48940*o - 299390450 = 0.
-12235
Solve -2*s**3/21 + 1400426*s**2/21 - 35021203210*s/3 - 245149822898/21 = 0.
-1, 350107
Determine m, given that -5*m**5/2 - 131*m**4/2 - 459*m**3/2 - 333*m**2/2 = 0.
-111/5, -3, -1, 0
Factor 2*z**2/11 - 41716*z/11 + 217528082/11.
2*(z - 10429)**2/11
Factor 4*p**4 - 840*p**3 + 28388*p**2 - 27552*p.
4*p*(p - 168)*(p - 41)*(p - 1)
Factor 5*w**2/2 - 2065*w - 8300.
5*(w - 830)*(w + 4)/2
Find d, given that 4*d**5 + 28*d**4 - 76*d**3 - 412*d**2 + 840*d = 0.
-7, -5, 0, 2, 3
Solve 2*f**4 + 18*f**3 + 14*f**2 - 18*f - 16 = 0 for f.
-8, -1, 1
Let 3*r**2 - 52290*r - 261525 = 0. Calculate r.
-5, 17435
Solve 5*n**3 + 3570*n**2 - 80855*n + 77280 = 0.
-736, 1, 21
Determine q, given that q**3/5 + 254*q**2/5 + 151*q + 502/5 = 0.
-251, -2, -1
Factor -5*t**3 - 5630*t**2 - 148495*t - 142870.
-5*(t + 1)*(t + 26)*(t + 1099)
Determine q, given that q**3 + 739*q**2 + 4403*q + 3665 = 0.
-733, -5, -1
What is g in -4*g**4/9 + 16868*g**3/9 + 152104*g**2/9 + 135232*g/9 = 0?
-8, -1, 0, 4226
Factor -v**2 + 10966*v/3 - 3655/3.
-(v - 3655)*(3*v - 1)/3
Determine c so that 2*c**5/5 + 244*c**4/5 + 9426*c**3/5 + 103104*c**2/5 - 400896*c/5 = 0.
-48, -29, 0, 3
Suppose 3*d**2/7 - 807*d/7 - 21096/7 = 0. Calculate d.
-24, 293
Let -5*x**5 + 219*x**4/7 - 72*x**3/7 - 1084*x**2/7 + 432*x/7 = 0. What is x?
-2, 0, 2/5, 27/7, 4
Solve -m**4/3 - 23*m**3 + 11665*m**2/3 - 88725*m - 418500 = 0 for m.
-155, -4, 45
Factor 5*w**4 - 5940*w**3 + 17785*w**2 - 11850*w.
5*w*(w - 1185)*(w - 2)*(w - 1)
What is c in 2*c**4/3 + 8884*c**3 + 29614808*c**2 + 355031300*c/3 + 88737842 = 0?
-6661, -3, -1
Factor k**4 + 3425*k**3 + 81647*k**2 + 78223*k.
k*(k + 1)*(k + 23)*(k + 3401)
Find g, given that 2*g**2 - 1804*g + 1802 = 0.
1, 901
Factor 202*n**2/3 + 10*n/3 - 212/3.
2*(n - 1)*(101*n + 106)/3
Factor -3*y**2 - 1395*y + 24582.
-3*(y - 17)*(y + 482)
Factor 3*n**2 + 2909670*n + 705514959075.
3*(n + 484945)**2
Factor 3*n**4 - 3*n**3 - 681*n**2 - 2781*n + 8262.
3*(n - 17)*(n - 2)*(n + 9)**2
Suppose 2*o**4/3 - 2*o**3 - 56*o**2 + 40*o/3 + 800 = 0. What is o?
-6, -5, 4, 10
Factor 2*o**3/3 + 6542*o**2/3 + 2180*o.
2*o*(o + 1)*(o + 3270)/3
Factor 2*v**2/7 + 3289196*v/7 + 1352351290802/7.
2*(v + 822299)**2/7
Find o, given that -o**5 + 529*o**4 + 1593*o**3 + 1595*o**2 + 532*o = 0.
-1, 0, 532
Suppose 2*u**5/3 - 394*u**4/3 + 8240*u**3/3 - 13560*u**2 - 22464*u + 33408 = 0. Calculate u.
-2, 1, 12, 174
Factor 2013*p**3 - 48315*p**2 + 239619*p - 357.
3*(p - 17)*(p - 7)*(671*p - 1)
Let -2*n**4/7 + 388*n**3/7 + 4454*n**2/7 + 1640*n = 0. What is n?
-7, -4, 0, 205
Suppose -i**4/2 + 2257*i**3 - 3402030*i**2 + 1721331052*i - 13554072032 = 0. What is i?
8, 1502
What is f in -4*f**4/11 - 585*f**3/11 + 1779*f**2/11 - 1787*f/11 + 597/11 = 0?
-597/4, 1
Let -3*x**3 - 13083*x**2 + 302430*x - 289344 = 0. Calculate x.
-4384, 1, 22
Determine x so that -x**4/5 - 1510*x**3 - 14265717*x**2/5 - 11394460*x - 56942116/5 = 0.
-3773, -2
Let z**5/2 - 95*z**4/2 + 1287*z**3 - 8144*z**2 + 14896*z = 0. What is z?
0, 4, 38, 49
Let 3*q**4 + 14895*q**3 + 133884*q**2 + 356880*q + 237888 = 0. Calculate q.
-4956, -4, -1
Factor -2*s**4/11 - 3062*s**3/11 + 188520*s**2/11 - 3802400*s/11 + 25456000/11.
-2*(s - 20)**3*(s + 1591)/11
Factor 2*s**2 + 1382372*s + 238869043298.
2*(s + 345593)**2
Let 4*q**4 - 552*q**3 + 5076*q**2 + 5632*q = 0. Calculate q.
-1, 0, 11, 128
Let 4*h**3/3 + 2476*h**2/3 - 9956*h/3 + 2492 = 0. What is h?
-623, 1, 3
Find h such that -3752542564*h**2 - 245032*h - 4 = 0.
-1/30629
Determine o so that 144*o**4/11 - 466*o**3/11 - 42*o**2/11 + 466*o/11 - 102/11 = 0.
-1, 17/72, 1, 3
What is n in -3*n**2 + 25992*n + 78003 = 0?
-3, 8667
Let 3*i**2 - 321*i - 16530 = 0. Calculate i.
-38, 145
Let -n**2/6 - 650*n = 0. Calculate n.
-3900, 0
What is f in 94*f**2/5 + 608*f/15 + 88/15 = 0?
-2, -22/141
Solve -32*b**5/3 - 260*b**4/3 + 64*b**3/3 + 520*b**2/3 - 32*b/3 - 260/3 = 0 for b.
-65/8, -1, 1
Find w such that w**2/5 - 5758*w/5 - 8071 = 0.
-7, 5765
Let 3*v**5 - 69*v**4 + 585*v**3 - 2283*v**2 + 4080*v - 2700 = 0. Calculate v.
2, 5, 9
What is k in -k**2/5 + 33839*k/5 + 270776/5 = 0?
-8, 33847
Let 6561*o**2/4 - 810*o + 100 = 0. What is o?
20/81
Suppose -x**3/4 - 33*x**2/4 + 2619*x - 5203 = 0. Calculate x.
-121, 2, 86
Factor 2*d**3/9 - 1102*d**2 - 49628*d/9 - 19856/3.
2*(d - 4964)*(d + 2)*(d + 3)/9
Factor -81*z**3 + 897*z**2 - 876*z + 60.
-3*(z - 10)*(z - 1)*(27*z - 2)
Determine i, given that i**3/11 + 564*i**2/11 = 0.
-564, 0
Suppose 10*q**5 + 728*q**4 + 3256*q**3 - 736*q**2 - 13184*q - 8704 = 0. Calculate q.
-68, -4, -2, -4/5, 2
Let -98*k**5 - 1259048*k**4 - 4315760*k**3 - 2260352*k**2 + 2466016*k - 411008 = 0. What is k?
-12844, -2, 2/7
Find f such that 3*f**4/4 + 87*f**3/4 + 99*f**2/4 - 8151*f/4 + 7581/2 = 0.
-19, 2, 7
Solve g**5/8 + 25*g**4/4 + 477*g**3/8 + 92*g**2 - 607*g/2 - 342 = 0.
-38, -9, -4, -1, 2
Factor 3*v**2/7 - 18528*v + 259380/7.
3*(v - 43230)*(v - 2)/7
Determine d so that 3*d**4 - 32*d**3 - 76*d**2 + 352*d - 192 = 0.
-4, 2/3, 2, 12
Solve -4*m**2 - 28344*m - 56672 = 0.
-7084, -2
Suppose 4*u**4/3 + 6586*u**3/9 - 7756*u**2/9 - 30830*u/9 - 5500/3 = 0. What is u?
-550, -1, -5/6, 3
