*3
Find f, given that 11830*f**2 + 4852*f + 48 = 0.
-2/5, -12/1183
Find t, given that -5*t**5 - 260*t**4 + 1170*t**3 + 2660*t**2 - 7765*t + 4200 = 0.
-56, -3, 1, 5
Solve -5*p**3 + 410*p**2 + 5025*p + 8370 = 0.
-9, -2, 93
Let 2*t**3/5 - 122*t**2/5 - 1232*t/5 - 392 = 0. Calculate t.
-7, -2, 70
Factor -2*b**3 + 496*b**2 + 2542*b - 3036.
-2*(b - 253)*(b - 1)*(b + 6)
Find a such that 25*a**5/4 + 1086545*a**4/4 + 2951151256*a**3 - 6494456079*a**2 - 6612047928*a - 1416839472 = 0.
-21732, -2/5, 3
Suppose 2*l**4/5 - 14976*l**3/5 + 5607014*l**2 + 14976*l/5 - 28035072/5 = 0. What is l?
-1, 1, 3744
Find h, given that -h**2/11 + 13197*h/11 - 39582/11 = 0.
3, 13194
Solve 24*g**5 - 196*g**4 - 640*g**3 + 6640*g**2 - 10304*g + 1536 = 0 for g.
-6, 1/6, 2, 4, 8
Factor 12*j**4 - 5772*j**3 + 696963*j**2 - 692640*j + 172800.
3*(j - 240)**2*(2*j - 1)**2
Find s such that -8*s**5/3 + 1670*s**4/3 - 87742*s**3/3 + 64456*s**2/3 + 7208*s = 0.
-1/4, 0, 1, 102, 106
Factor 25*b**2 + 2376690*b - 950680.
5*(b + 95068)*(5*b - 2)
Factor 3*r**3 + 111*r**2 + 777*r - 891.
3*(r - 1)*(r + 11)*(r + 27)
Determine a so that 3*a**5 + 324*a**4 + 2967*a**3 + 2646*a**2 = 0.
-98, -9, -1, 0
Factor c**3/7 - 390675*c**2/7 - 1562712*c/7 - 1562716/7.
(c - 390679)*(c + 2)**2/7
Solve 2*o**4 + 7142*o**3 - 208352*o**2 + 1612408*o - 1411200 = 0.
-3600, 1, 14
Let 4*q**4 + 404*q**3 + 2180*q**2 - 42068*q + 39480 = 0. What is q?
-94, -15, 1, 7
Find y such that 16*y**3/3 - 986*y**2/3 - 124*y = 0.
-3/8, 0, 62
Suppose -6627*o**3/7 + 156369*o**2 - 186168*o/7 + 7920/7 = 0. Calculate o.
4/47, 165
Factor 5*r**3 + 1945*r**2 - 14850*r - 392040.
5*(r - 18)*(r + 11)*(r + 396)
Determine w, given that 2*w**2/3 - 368280*w + 50861309400 = 0.
276210
Let -p**4/7 - 48*p**3/7 - 663*p**2/7 - 2068*p/7 - 1452/7 = 0. Calculate p.
-22, -3, -1
Factor b**4/2 - 31*b**3/2 - 110*b**2 + 1496*b - 3360.
(b - 35)*(b - 4)**2*(b + 12)/2
Determine p so that 2*p**2 + 10316*p + 13302482 = 0.
-2579
Factor -d**4/9 + 1214*d**3/9 - 379132*d**2/9 + 715208*d.
-d*(d - 598)**2*(d - 18)/9
Factor 748*g**3 + 31408*g**2 + 329532*g - 3528.
4*(g + 21)**2*(187*g - 2)
Factor 128*r**4/7 + 24416*r**3 + 56817074*r**2/7 - 22459668*r + 108309762/7.
2*(r + 669)**2*(8*r - 11)**2/7
What is k in 4*k**2 - 5716*k + 178816 = 0?
32, 1397
Suppose 2*s**2/7 + 4146*s/7 - 66848/7 = 0. What is s?
-2089, 16
Factor w**2/4 - 124*w + 9975/4.
(w - 475)*(w - 21)/4
Factor -2*p**3/15 - 3252*p**2/5 - 6502*p/5 - 9752/15.
-2*(p + 1)**2*(p + 4876)/15
Suppose -518162*b**2 + 20360*b - 200 = 0. Calculate b.
10/509
Factor 2*w**2/3 - 757588*w/3 + 757586/3.
2*(w - 378793)*(w - 1)/3
Factor 3*r**2 + 4332858*r + 1564471537347.
3*(r + 722143)**2
Factor v**3/4 - 2309*v**2/4.
v**2*(v - 2309)/4
What is s in 2*s**2/15 - 156524*s/15 + 3062470322/15 = 0?
39131
Factor 3*h**4/4 - 72921*h**3/2 + 590708664*h**2 - 3187461519744*h - 31933722531840.
3*(h - 16208)**3*(h + 10)/4
What is m in -4*m**5 + 884*m**4 - 63328*m**3 + 1576032*m**2 - 10359360*m - 47044800 = 0?
-3, 22, 90
Factor -o**3/4 + 941*o**2/4 - 21762*o.
-o*(o - 837)*(o - 104)/4
Let -d**2 + 7996*d + 208572 = 0. Calculate d.
-26, 8022
Factor 2*s**2/7 + 56*s - 1600/7.
2*(s - 4)*(s + 200)/7
Factor 3*b**2/4 - 9129*b/2 - 18261/4.
3*(b - 6087)*(b + 1)/4
Suppose 2*x**3/3 + 658*x**2/3 - 700*x/3 - 4400 = 0. What is x?
-330, -4, 5
Factor -2*i**2/3 + 25462*i + 152780/3.
-2*(i - 38195)*(i + 2)/3
Factor -5*v**2 + 1455*v - 58320.
-5*(v - 243)*(v - 48)
Factor y**3/6 + 211027*y**2/2 + 16699700780*y + 50098785800/3.
(y + 1)*(y + 316540)**2/6
Determine y so that y**2/4 + 459*y/2 + 7938 = 0.
-882, -36
Let 13*b**5/5 - 627*b**4/5 + 333*b**3 + 155207*b**2/5 + 263934*b/5 - 69192/5 = 0. What is b?
-12, -2, 3/13, 31
Suppose -h**4/10 + 6539*h**3/10 - 1961*h**2 + 6536*h/5 = 0. What is h?
0, 1, 2, 6536
Determine c, given that 4*c**4/3 - 285856*c**3/3 = 0.
0, 71464
Find f such that -3*f**4 + 768*f**3 + 783*f**2 - 3072*f - 3084 = 0.
-2, -1, 2, 257
Determine s, given that -2*s**5 - 150*s**4 - 782*s**3 + 3294*s**2 + 8344*s + 4416 = 0.
-69, -8, -1, 4
What is u in 4*u**2/7 + 2104*u/7 + 46276/7 = 0?
-503, -23
Find p such that 10*p**3 - 49196*p**2 - 216640*p - 78784 = 0.
-4, -2/5, 4924
What is v in 2*v**5 + 814*v**4 + 7168*v**3 + 1424*v**2 - 66720*v + 57312 = 0?
-398, -6, 1, 2
Let n**2/4 + 379855*n/2 + 144289821025/4 = 0. What is n?
-379855
Determine g, given that g**3/6 + 156577*g**2/3 + 24516356929*g/6 = 0.
-156577, 0
Let 4*t**5/7 + 4012*t**4/7 + 1035712*t**3/7 + 2132448*t**2 + 10101312*t + 105423552/7 = 0. Calculate t.
-494, -6, -3
Let -4*r**2 + 2448*r - 112400 = 0. Calculate r.
50, 562
Find w, given that -w**3/4 - 929*w**2/2 - 855561*w/4 + 1740978 = 0.
-933, 8
Let 2*c**3/7 - 10876*c**2/7 + 43478*c/7 - 32604/7 = 0. Calculate c.
1, 3, 5434
Let -2*a**4 + 2688*a**3 + 14*a**2 - 18828*a + 16128 = 0. What is a?
-3, 1, 2, 1344
Factor -y**2/5 - 1537234*y/5 - 590772092689/5.
-(y + 768617)**2/5
Factor u**2 + 17150*u + 73530625.
(u + 8575)**2
Let 3*y**2/7 + 1340496*y/7 + 149744127168/7 = 0. Calculate y.
-223416
Find l such that 44*l**3 - 478*l**2 - 594*l - 72 = 0.
-1, -3/22, 12
Factor -n**2/8 + 1403*n/2 + 209013/8.
-(n - 5649)*(n + 37)/8
Suppose 93*f**5/2 - 1417*f**4/3 - 19373*f**3/6 - 6788*f**2/3 + 1462*f/3 + 40 = 0. What is f?
-4, -1, -2/31, 2/9, 15
Factor 2*r**3/11 - 17804*r**2/11 - 35616*r/11.
2*r*(r - 8904)*(r + 2)/11
Factor -4*m**4 + 168*m**3 + 12*m**2 - 512*m + 336.
-4*(m - 42)*(m - 1)**2*(m + 2)
What is c in -35*c**5/4 + 5121*c**4/4 + 6194*c**3 - 337*c**2 - 17484*c - 4832 = 0?
-4, -2, -2/7, 8/5, 151
Determine t so that t**2/5 - 36998*t/5 + 342213001/5 = 0.
18499
Determine l, given that l**5/4 - 17*l**4/4 - 5*l**3/4 + 1025*l**2/4 - 250*l - 4375 = 0.
-5, 7, 10
Determine h so that -2*h**3/13 + 210*h**2/13 + 896*h/13 - 2616/13 = 0.
-6, 2, 109
Factor 2*a**3/5 - 231636*a**2/5 + 1341473562*a - 26825765192/5.
2*(a - 57907)**2*(a - 4)/5
Suppose 2*x**5/19 - 138*x**4/19 + 2164*x**3/19 - 6336*x**2/19 - 36288*x/19 - 27648/19 = 0. What is x?
-2, -1, 12, 48
Find p, given that 6286*p**4 + 15691*p**3/2 + 3113*p**2/2 - 3*p = 0.
-1, -1/4, 0, 6/3143
Let -2*z**4 + 162*z**3 + 1022*z**2 + 1902*z + 1044 = 0. What is z?
-3, -2, -1, 87
Factor i**5 - 67*i**4 - 644*i**3 + 3348*i**2 - 3600*i.
i*(i - 75)*(i - 2)**2*(i + 12)
Factor -b**2 + 40*b + 24249.
-(b - 177)*(b + 137)
What is f in -3*f**5 - 186*f**4 + 81*f**3 + 29400*f**2 + 180516*f + 246960 = 0?
-60, -7, -2, 14
Factor -2*k**3/11 - 898*k**2/11 - 12278*k/11 - 42630/11.
-2*(k + 7)**2*(k + 435)/11
Find w, given that -74*w**4/3 + 812*w**3/3 + 7570*w**2/3 + 68*w = 0.
-6, -1/37, 0, 17
Factor q**3/10 + 163*q**2/2 - 28537*q/5 + 11088.
(q - 63)*(q - 2)*(q + 880)/10
Solve -2*j**2/3 + 36724*j - 505744566 = 0.
27543
Solve -3*o**3 - 51663*o**2 - 222551232*o - 1111464960 = 0 for o.
-8608, -5
Factor -h**4/6 + 7*h**3/6 + 83*h**2/6 + 67*h/2 + 21.
-(h - 14)*(h + 1)*(h + 3)**2/6
Suppose -103*n**5 - 1130*n**4 + 5801*n**3 - 6348*n**2 + 180*n = 0. What is n?
-15, 0, 3/103, 2
Find j such that 2*j**2 + 8016*j - 80360 = 0.
-4018, 10
Solve -2*p**2/7 + 2528*p/7 - 90798/7 = 0 for p.
37, 1227
Factor l**2/4 - 815*l/4 + 82775/2.
(l - 430)*(l - 385)/4
Suppose -168*v**3 - 1755*v**2 + 1023*v = 0. What is v?
-11, 0, 31/56
Suppose 3*v**5 - 24*v**4 + 12*v**3 + 66*v**2 - 15*v - 42 = 0. What is v?
-1, 1, 2, 7
Factor 2*b**4 + 16*b**3 - 62*b**2 + 44*b.
2*b*(b - 2)*(b - 1)*(b + 11)
What is r in 4*r**2 - 104276*r + 104272 = 0?
1, 26068
Determine c so that -2*c**5/11 + 114*c**4/11 - 1970*c**3/11 + 9750*c**2/11 - 12500*c/11 = 0.
0, 2, 5, 25
Factor 4*t**4/5 + 700148*t**3/5.
4*t**3*(t + 175037)/5
What is y in -3*y**4 - 3360*y**3 + 27033*y**2 - 43974*y + 20304 = 0?
-1128, 1, 6
Let -g**3 - 16463*g**2 - 67765823*g - 67749361 = 0. What is g?
-8231, -1
Factor -v**2 - 39*v - 224.
-(v + 7)*(v + 32)
Factor 5*l**3 + 295*l**2 - 5*l - 295.
5*(l - 1)*(l + 1)*(l + 59)
Factor 3*j**4 + 24711*j**3 + 67864635*j**2 + 62186561325*j + 124101861750.
3*(j + 2)*(j + 2745)**3
Suppose -g**2/6 + 132274*g - 26244616614 = 0. Calculate g.
396822
Find o, given that -4*o**4 - 1200*o**3 - 11692*o**2 - 26736*o - 16240 = 0.
-290, -7, -2, -1
Determine u, given that -4*u**3/5 + 4168*u**2/5 - 3324*u + 12456/5 = 0.
1, 3, 1038
Let -2*u**5 + 7624*u**4/3 - 95582*u**3/3 - 32708*u**2/3 = 0. Calculate u.
-1/3, 0, 13, 1258
Determine u so that 2*u*