20*b**2 - 12*b + 1005120.
(b - 83760)*(b - 6)*(b + 6)/3
Factor -4*c**2/9 + 3814012*c/9 + 23733024.
-4*(c - 953559)*(c + 56)/9
Suppose o**5/4 + 17*o**4/2 - 227*o**3/4 - 321*o**2 - 351*o = 0. What is o?
-39, -2, 0, 9
Determine c so that 2*c**4/9 + 150974*c**3/3 + 8548261010*c**2/3 + 282010639750*c/9 - 512796025000/3 = 0.
-113225, -15, 4
Suppose -3*i**3/5 + 64527*i**2/5 - 10547313*i + 10989119241/5 = 0. Calculate i.
421, 20667
Factor v**3 + 14543*v**2 - 466144*v + 3731200.
(v - 16)**2*(v + 14575)
Determine n, given that 2*n**2/5 - 335908*n - 8397950 = 0.
-25, 839795
Determine g so that -4*g**2 - 678704*g + 10181460 = 0.
-169691, 15
Factor -x**2/6 - 821734*x - 1012870150134.
-(x + 2465202)**2/6
Solve 12*p**5 + 5451855*p**4 + 825617108343*p**3 + 41673711329872317*p**2 - 323022505375105479*p - 83360220401647368 = 0.
-151443, -1/4, 8
Factor -t**2 + 25*t/2 + 979566.
-(t - 996)*(2*t + 1967)/2
Suppose -2*a**2 + 299067016*a - 11180135007393032 = 0. Calculate a.
74766754
Determine t so that -4*t**2/7 + 20677472*t/7 - 186096924/7 = 0.
9, 5169359
Suppose 24*k**4/7 + 86684*k**3/7 + 24761360*k**2/7 - 3549724*k = 0. What is k?
-3299, -1883/6, 0, 1
Solve -4*z**2/7 - 17676*z/7 - 211536/7 = 0 for z.
-4407, -12
What is q in 3*q**4/2 + 483*q**3/2 - 106395*q**2/2 - 106875*q/2 = 0?
-285, -1, 0, 125
Factor -2*b**2 + 7862*b + 1156732.
-2*(b - 4073)*(b + 142)
Solve -2*f**3 + 315244*f**2 - 4413024*f = 0 for f.
0, 14, 157608
What is x in x**3/3 + 20171*x**2/3 + 1146440*x/3 - 1166612/3 = 0?
-20114, -58, 1
Factor 3*j**4 + 1079832*j**3 + 97199992944*j**2 + 5440660103424*j + 76157391055872.
3*(j + 28)**2*(j + 179944)**2
Factor 25*x**3 + 2478265*x**2 - 13878431*x/4 + 1214367.
(x + 99132)*(10*x - 7)**2/4
Factor 4*t**3 - 8964*t**2 + 693632*t + 13409280.
4*(t - 2160)*(t - 97)*(t + 16)
Find b, given that 2*b**4/7 - 21860*b**3/7 + 88867650*b**2/7 - 159223868000*b/7 + 106107484880000/7 = 0.
2305, 3160
Find y such that 21*y**2/2 + 29817651*y + 8519328 = 0.
-2839776, -2/7
What is i in -14*i**5/5 + 42304*i**4/5 - 650926*i**3 + 6742020*i**2 - 89481096*i/5 - 28394064/5 = 0?
-2/7, 6, 67, 2943
Let l**5/2 + 2530*l**4 - 2172933*l**3/2 + 110433564*l**2 + 341147160*l = 0. Calculate l.
-5465, -3, 0, 204
Factor -l**3/7 + 102101*l**2/7 - 2654119*l/7 + 17250675/7.
-(l - 102075)*(l - 13)**2/7
Solve 13972*o**5 - 405172*o**4 + 3003516*o**3 - 6633260*o**2 - 7600*o = 0 for o.
-4/3493, 0, 5, 19
Solve -l**2/6 - 1446353*l/6 = 0.
-1446353, 0
Suppose v**3/3 + 3551815*v**2/2 + 2365386030394*v + 7096155427321/6 = 0. Calculate v.
-2663861, -1/2
Solve -2*t**4 + 748*t**3 + 46874*t**2 + 135356*t + 89232 = 0.
-52, -2, -1, 429
What is x in 10*x**5/7 + 2836*x**4/7 + 194094*x**3/7 - 683812*x**2/7 + 649928*x/7 - 163056/7 = 0?
-158, -129, 2/5, 1, 2
Solve 5*b**3 - 78625*b**2 + 314435*b - 235815 = 0 for b.
1, 3, 15721
Solve i**5 - 2228*i**4 + 1482289*i**3 - 253538918*i**2 - 511533620*i - 256510184 = 0.
-1, 266, 982
Let 5*n**4 + 780*n**3 - 53755*n**2 + 356070*n + 3218600 = 0. What is n?
-209, -5, 14, 44
Let 4*r**5 - 2208*r**4 - 67520*r**3 + 71928*r**2 + 67516*r - 69720 = 0. Calculate r.
-30, -1, 1, 581
Factor -m**2 - 916*m - 209475.
-(m + 441)*(m + 475)
Factor a**4/5 - 3076*a**3/5 + 349215*a**2.
a**2*(a - 2325)*(a - 751)/5
Let 67*b**2/2 - 1368677*b/2 - 674157 = 0. What is b?
-66/67, 20429
Solve -12*r**5 - 8989404*r**4 - 1683533333739*r**3 - 1683508612938*r**2 + 2946163107948*r - 841762172184 = 0.
-374558, -2, 1/2
Factor 5*z**2 + 7000790*z + 7000785.
5*(z + 1)*(z + 1400157)
Suppose 2*s**5/13 + 11420*s**4/13 + 34240*s**3/13 - 11420*s**2/13 - 2634*s = 0. What is s?
-5707, -3, -1, 0, 1
Factor 5*s**4 + 4270*s**3 - 183685*s**2 - 187950*s.
5*s*(s - 42)*(s + 1)*(s + 895)
Determine m so that -12*m**5/7 - 13588*m**4/7 - 152788*m**3/7 - 371836*m**2/7 + 376800*m/7 + 161424/7 = 0.
-1121, -6, -1/3, 1
Determine z, given that 4*z**3/7 + 28389280*z**2/7 + 113557068*z/7 + 85167792/7 = 0.
-7097316, -3, -1
Suppose -d**4/3 + 982765*d**3/3 - 107325360978*d**2 + 35176953364108508*d/3 - 3619811426020628792/3 = 0. Calculate d.
103, 327554
Solve -s**4 + 239*s**3 + 6890*s**2 = 0.
-26, 0, 265
Factor l**4 - 10893*l**3 - 21822*l**2 + 348544*l + 1045920.
(l - 10895)*(l - 6)*(l + 4)**2
Factor 5*c**3 + 54260*c**2 - 1141475*c + 2065870.
5*(c - 19)*(c - 2)*(c + 10873)
Find q, given that 4*q**4 - 1293332*q**3 + 11639760*q**2 - 31039168*q + 20692736 = 0.
1, 4, 323324
Let b**5/7 - 11510*b**4/7 - 11516*b**3/7 + 57558*b**2/7 - 34533*b/7 = 0. What is b?
-3, 0, 1, 11511
Find i, given that -i**4/2 + 705*i**3/2 - 17133*i**2 - 94540*i = 0.
-5, 0, 58, 652
Factor -3*n**2 - 2846652*n + 11386656.
-3*(n - 4)*(n + 948888)
Solve 3*l**4 + 615*l**3 - 32745*l**2 + 30885*l + 64242 = 0 for l.
-249, -1, 2, 43
Factor -2*y**2 + 238862296*y - 238862294.
-2*(y - 119431147)*(y - 1)
Solve -7*z**4/10 - 1878*z**3 + 229181*z**2/10 + 142743*z/5 - 49588 = 0.
-2695, -2, 1, 92/7
Suppose -3*p**3/7 - 4083*p**2 - 8761872*p + 4694808384 = 0. What is p?
-4984, 441
Find f such that -f**3 + 507147*f**2 - 64299773475*f + 64299266329 = 0.
1, 253573
Suppose 2*z**3/17 + 1152*z**2/17 + 163342*z/17 + 162192/17 = 0. Calculate z.
-327, -248, -1
Suppose -h**4/9 + 251882*h**3/9 + 2266999*h**2/9 + 5037820*h/9 = 0. What is h?
-5, -4, 0, 251891
Determine k so that -k**2/3 - 197273*k/3 + 263036 = 0.
-197277, 4
Determine z so that -369460*z**3 + 6994288*z**2 - 3906256*z + 553728 = 0.
2/7, 34608/1885
Factor -j**2/4 - 5355*j/4 - 1801287/2.
-(j + 789)*(j + 4566)/4
Factor -c**4/2 - 998187*c**3 - 996263487153*c**2/2 + 56796748466796*c - 1618799765204232.
-(c - 57)**2*(c + 998244)**2/2
Let 3*x**5/5 + 40767*x**4/5 + 138107244*x**3/5 - 2643517584*x**2/5 - 16114375872*x/5 - 13332791808/5 = 0. What is x?
-6804, -4, -1, 24
Find u, given that 2*u**5/7 - 3686*u**4/7 + 307758*u**3/7 + 281218*u**2 + 1026800*u/7 - 3299400/7 = 0.
-5, -2, 1, 94, 1755
Find p such that -5*p**4 + 1416965*p**3 - 100387365090*p**2 - 301172014100*p - 200783232040 = 0.
-2, -1, 141698
Factor 2*g**2 - 91899936*g + 1055699779600512.
2*(g - 22974984)**2
Factor f**2 + 4639614*f - 37116976.
(f - 8)*(f + 4639622)
Let l**4/6 + 4796*l**3/3 + 172229*l**2/6 - 493691*l/3 - 2010540 = 0. Calculate l.
-9574, -20, -7, 9
Factor u**2 + 71709085*u - 71709086.
(u - 1)*(u + 71709086)
Factor -3*m**3 + 31827*m**2 + 2303208*m + 41527728.
-3*(m - 10681)*(m + 36)**2
Find b, given that -2*b**3/7 + 20180*b**2/7 + 505550*b/7 + 289000 = 0.
-20, -5, 10115
Factor 3*s**2/2 - 86661*s/2 + 129978.
3*(s - 28884)*(s - 3)/2
Factor -2*w**3 - 2884*w**2 + 341824*w - 9746688.
-2*(w - 56)**2*(w + 1554)
Determine b, given that 7*b**3 + 272827*b**2 + 6621718*b + 1869648 = 0.
-38951, -24, -2/7
Determine d, given that -10816*d**4 + 2340832*d**3 - 119392068*d**2 - 790605496*d - 668861780 = 0.
-5, -1, 5783/52
What is x in -7*x**2/4 - 299485*x - 85567 = 0?
-171134, -2/7
Factor 3*r**2 - 10191*r + 3494610.
3*(r - 3010)*(r - 387)
Let 18*u**3 + 4712*u**2 - 533430*u + 12822300 = 0. Calculate u.
-3166/9, 45
Factor -3*y**3/5 + 8499*y**2/5 - 33948*y/5.
-3*y*(y - 2829)*(y - 4)/5
Suppose 2*u**3 - 3386*u**2 + 668180*u + 7022400 = 0. What is u?
-10, 240, 1463
Find y, given that 6*y**4/7 - 28*y**3 - 3578*y**2/7 + 9528*y + 586872/7 = 0.
-18, -22/3, 19, 39
Solve -z**5/4 + 10037*z**4/2 - 60175*z**3 - 220802*z**2 + 2407040*z + 8024800 = 0 for z.
-4, 10, 20062
Determine i, given that -i**3/2 - 32889*i**2 + 855271*i/2 - 394746 = 0.
-65791, 1, 12
Suppose -20*w**3 - 124396*w**2 - 4180896*w + 5196240 = 0. Calculate w.
-6186, -35, 6/5
What is h in 4*h**5 + 480*h**4 - 14868*h**3 - 140096*h**2 + 1458960*h - 2246400 = 0?
-144, -13, 2, 5, 30
Determine o, given that -28*o**5 - 1524*o**4 - 24364*o**3 - 69132*o**2 + 693992*o + 308256 = 0.
-26, -19, -13, -3/7, 4
Suppose -3*a**2 - 4976241*a + 29857554 = 0. Calculate a.
-1658753, 6
Factor -38*h**2 - 16258684*h - 1711440.
-2*(h + 427860)*(19*h + 2)
Determine w so that 3*w**4 - 2857*w**3 + 23552*w**2 + 45292*w + 18880 = 0.
-1, -2/3, 10, 944
Factor 32041716004*a**2 + 641543168*a + 3211264.
4*(89501*a + 896)**2
Suppose -4*u**3/3 + 19332*u**2 + 638488*u/3 - 232160 = 0. What is u?
-12, 1, 14510
Let -2*j**2/9 + 3431350*j/3 - 3431348 = 0. Calculate j.
3, 5147022
Factor -p**2/3 + 7968*p - 238940/3.
-(p - 23894)*(p - 10)/3
Suppose -5*f**4 - 4180*f**3 + 2679975*f**2 - 322473690*f - 2753427600