1
Suppose 67*v**4 + 16269*v**3 - 86398*v**2 - 84744*v + 17856 = 0. What is v?
-248, -1, 12/67, 6
Find r, given that r**3 - 9922*r**2 - 1613120*r = 0.
-160, 0, 10082
Factor l**2/4 + 59539*l/4 + 416675/2.
(l + 14)*(l + 59525)/4
Find o such that o**2/2 - 5975955*o + 35712038162025/2 = 0.
5975955
Determine w, given that -25*w**5/2 + 190495*w**4 + 533789*w**3/2 - 2697881*w**2 + 3414064*w - 1219280 = 0.
-5, 4/5, 2, 15241
Factor 3*z**4 + 1586556*z**3 + 209780779818*z**2 + 4614601252140*z + 25379251077675.
3*(z + 11)**2*(z + 264415)**2
Factor 4*h**2 - 12580168*h + 12580164.
4*(h - 3145041)*(h - 1)
Factor -m**2 + 57352*m + 401513.
-(m - 57359)*(m + 7)
Suppose 3*z**3 + 408*z**2 - 235548*z + 8951040 = 0. Calculate z.
-370, 42, 192
Suppose -4*a**2 - 6863292*a + 13726600 = 0. What is a?
-1715825, 2
Factor m**3/9 - 25136*m**2/9 - 13349732*m/3 - 1719996560.
(m - 26660)*(m + 762)**2/9
Let -5*o**5 - 12860*o**4 + 1240195*o**3 + 2583190*o**2 - 4960700*o - 10127000 = 0. Calculate o.
-2665, -2, 2, 95
Factor -2*j**2/11 - 78826952*j/11 - 776711045201288/11.
-2*(j + 19706738)**2/11
Determine f so that -7429*f**4/5 + 2972*f**3 + 46059*f**2 + 41590*f - 56/5 = 0.
-4, -1, 2/7429, 7
Determine l so that 2*l**5 - 1555*l**4 + 14557*l**3 + 27142*l**2 - 201336*l + 92160 = 0.
-4, 1/2, 3, 10, 768
Solve 9*p**4 + 207165*p**3 + 276207*p**2 + 69051*p = 0.
-23017, -1, -1/3, 0
Find n, given that 2*n**4/5 - 1194202*n**3/5 - 137353184*n**2/5 - 3879521864*n/5 + 4018069248/5 = 0.
-58, 1, 597216
Factor v**3 - 22601*v**2 + 130373867*v - 224017717963.
(v - 14827)*(v - 3887)**2
Find r such that -75*r**2/2 + 41440195*r - 68691590465521/6 = 0.
8288039/15
Determine c so that -2*c**2/13 - 148705612*c/13 - 2764169880036818/13 = 0.
-37176403
Factor -3*f**2/2 - 967413*f/2 - 21280182.
-3*(f + 44)*(f + 322427)/2
Suppose -61*g**4 - 62150*g**3 - 123812*g**2 + 248600*g + 496224 = 0. What is g?
-62028/61, -2, 2
Factor -2*o**2/13 + 212984*o/13 - 44001990/13.
-2*(o - 106285)*(o - 207)/13
Factor -p**3/8 - 3989*p**2/2 - 2760001*p/2 - 244152420.
-(p + 358)**2*(p + 15240)/8
Find p such that p**3 - 1713486*p**2 + 734082242400*p - 63118400540000 = 0.
86, 856700
Solve 333*m**4 + 85479*m**3 + 59142*m**2 + 1536*m = 0 for m.
-256, -2/3, -1/37, 0
Let 1591*g**3/4 - 8748*g**2 - 36813*g/4 - 115/2 = 0. Calculate g.
-1, -10/1591, 23
Determine i so that 3*i**4 + 4653*i**3 + 1949976*i**2 + 247350864*i = 0.
-967, -292, 0
Factor c**4/7 + 851402*c**3/7 + 181219638589*c**2/7 - 724888771212*c/7 + 724892176836/7.
(c - 2)**2*(c + 425703)**2/7
Factor -j**2/7 + 3975015*j/7 + 11925054/7.
-(j - 3975018)*(j + 3)/7
Factor 3*p**2 + 238579230*p + 4743337415616075.
3*(p + 39763205)**2
Factor -3*a**2/8 - 394959*a/8 - 1184823/4.
-3*(a + 6)*(a + 131647)/8
Find n such that -n**5 + 195*n**4 + 304276*n**3 - 1220160*n**2 = 0.
-465, 0, 4, 656
Factor y**3 - 22824*y**2 + 130347789*y - 1301196490.
(y - 11407)**2*(y - 10)
Suppose a**2/4 + 506073*a/4 + 506071/2 = 0. What is a?
-506071, -2
Find n, given that -n**3/5 - 91297*n**2/5 + 91304*n/5 + 547788/5 = 0.
-91298, -2, 3
Factor -3*o**3 + 3032163*o**2 - 766342024497*o + 88089237024105.
-3*(o - 505303)**2*(o - 115)
Find m such that -33*m**5 + 5109*m**4 - 231786*m**3 + 3382428*m**2 - 5336328*m - 1083456 = 0.
-2/11, 2, 27, 38, 88
Find b, given that 4*b**2/7 - 84625320*b + 3133132093482300 = 0.
74047155
Find w, given that 2*w**5/5 - 35904*w**4/5 - 35908*w**3/5 + 35904*w**2/5 + 35906*w/5 = 0.
-1, 0, 1, 17953
Factor -2*y**2 + 12732564*y - 20264773251762.
-2*(y - 3183141)**2
Suppose -2*u**3 - 5368*u**2 + 1159770*u = 0. Calculate u.
-2885, 0, 201
Solve 15*k**4/2 + 13705*k**3/2 + 9115*k**2/2 - 13705*k/2 - 4565 = 0.
-913, -1, -2/3, 1
Factor -2*h**2/5 - 2068858*h + 10344292/5.
-2*(h - 1)*(h + 5172146)/5
Factor 2*g**3/11 - 5978*g**2/11 - 9602960*g/11 - 3179584264/11.
2*(g - 4217)*(g + 614)**2/11
What is c in -31355*c**2/2 - 30457*c/2 + 449 = 0?
-1, 898/31355
Let -s**4/2 - 471*s**3/2 + 2639*s**2 - 5784*s = 0. What is s?
-482, 0, 3, 8
Suppose -3*f**4 - 13212*f**3 + 466107*f**2 + 52848*f - 1864380 = 0. What is f?
-4439, -2, 2, 35
Suppose 4*n**5/3 - 2769640*n**4/3 - 12925249*n**3 + 2077231*n**2/3 + 28389398*n/3 - 3231312 = 0. What is n?
-14, -1, 1/2, 692424
Factor -5*p**3 - 5368090*p**2 - 1440760461600*p + 31699328364000.
-5*(p - 22)*(p + 536820)**2
Determine k so that k**4 + 913*k**3 - 36103*k**2 + 33359*k + 70374 = 0.
-951, -1, 2, 37
What is y in y**5/7 - 68143*y**4/7 - 38954*y**3 + 6132530*y**2/7 + 47701525*y/7 + 93702125/7 = 0?
-5, 11, 68147
Factor 67*s**2 - 41747*s - 334430.
(s - 631)*(67*s + 530)
Let -5*t**4 - 79865*t**3 + 1198965*t**2 - 2158315*t + 1039220 = 0. What is t?
-15988, 1, 13
Solve -512*i**4 + 12284*i**3 - 71584*i**2 - 560*i = 0.
-1/128, 0, 10, 14
Factor -2*f**2/9 - 409553924*f/9 - 20966802082974722/9.
-2*(f + 102388481)**2/9
Factor 5*y**2 + 1017990*y + 37658785.
5*(y + 37)*(y + 203561)
Factor 4*v**3 + 109764*v**2 + 768831360*v + 215945073872.
4*(v + 293)*(v + 13574)**2
Solve 3*m**5/2 + 29798*m**4/3 + 90101065*m**3/6 - 4826893297*m**2 - 70260338930*m/3 + 16328009500/3 = 0.
-3446, -5, 2/9, 275
Suppose -2*o**3/7 - 10033174*o**2/7 + 2866622*o - 10033178/7 = 0. Calculate o.
-5016589, 1
Find i such that -i**2/5 - 192206*i/5 - 2690688/5 = 0.
-192192, -14
Suppose -3*t**3/4 - 184143*t**2/2 - 2825812440*t - 5651256600 = 0. Calculate t.
-61380, -2
Factor h**3 + 4177*h**2 + 1191959*h + 1187783.
(h + 1)*(h + 307)*(h + 3869)
Solve 3*q**2 - 174849*q + 349686 = 0 for q.
2, 58281
Solve a**4/2 + 39174*a**3 + 3132397*a**2/2 + 3014877*a + 1487852 = 0 for a.
-78308, -38, -1
Factor -f**4/5 - 19377*f**3/5 - 38751*f**2/5 - 3875*f.
-f*(f + 1)**2*(f + 19375)/5
Factor 3*z**2/4 - 968568*z - 1937139.
3*(z - 1291426)*(z + 2)/4
Factor n**2/3 - 937*n/3 - 544730.
(n - 1830)*(n + 893)/3
Factor 5*v**2 + 218625*v - 178779920.
5*(v - 803)*(v + 44528)
What is m in m**2/6 + 1895873*m + 10783003296387/2 = 0?
-5687619
Solve -2*l**4 - 1470*l**3 - 8676*l**2 + 52920*l + 314928 = 0.
-729, -6, 6
Factor -3*l**2 - 60102*l + 4766781.
-3*(l - 79)*(l + 20113)
Let -5*m**4/2 - 2001*m**3/5 - 3869*m**2/2 + 26364*m/5 + 434 = 0. What is m?
-155, -7, -2/25, 2
Determine k so that 8*k**4 + 13836*k**3 + 455588*k**2 + 1798224*k + 786944 = 0.
-1696, -29, -4, -1/2
Solve f**2/6 - 3010394*f/3 + 6020786/3 = 0.
2, 6020786
Factor -5*l**3 - 239230*l**2 - 5021625*l.
-5*l*(l + 21)*(l + 47825)
Factor -2*y**2/7 - 215196*y/7 - 30742.
-2*(y + 1)*(y + 107597)/7
Suppose 2*q**3/7 + 955482*q**2/7 - 272996*q = 0. What is q?
-477743, 0, 2
Find q, given that 2*q**5/9 - 98*q**4/3 + 5002*q**3/3 - 311882*q**2/9 + 624464*q/3 + 984064 = 0.
-3, 24, 31, 64
Let 38*a**3/3 + 14552*a**2/3 + 113234*a/3 - 2000 = 0. What is a?
-375, -8, 1/19
Factor 3*o**2/5 - 1429533*o/5 + 2859054/5.
3*(o - 476509)*(o - 2)/5
Let k**4/3 - 43*k**3/3 - 3508*k**2 - 53856*k = 0. What is k?
-72, -17, 0, 132
Let 76*s**3 + 12928*s**2 - 24784*s - 2752 = 0. Calculate s.
-172, -2/19, 2
Find k, given that 26582*k**2/11 + 2020224*k/11 - 608/11 = 0.
-76, 4/13291
Solve -3*t**4 - 30121149*t**3 - 75606953029434*t**2 + 75607043392896*t + 151213966301184 = 0 for t.
-5020192, -1, 2
Suppose 68890*n**4 - 4959416*n**3 - 77740282*n**2/5 - 747576*n/5 - 360 = 0. Calculate n.
-3, -2/415, 75
Suppose -4*m**3 - 17119568*m**2 - 18317372813824*m + 219810938990592 = 0. Calculate m.
-2139952, 12
Factor 4*i**3 + 1518380*i**2 + 144093123212*i + 144091604836.
4*(i + 1)*(i + 189797)**2
Suppose -5*j**4 + 49160*j**3 + 1085060*j**2 - 11038880*j + 23649600 = 0. What is j?
-30, 4, 9854
Find i, given that 2*i**3/3 + 12037340*i**2/3 + 72223954*i/3 - 84261296/3 = 0.
-6018664, -7, 1
Factor -2*d**3 - 42584*d**2 - 85154*d + 127740.
-2*(d - 1)*(d + 3)*(d + 21290)
Find v such that 562*v**5 + 11856*v**4 - 213496*v**3 + 1064096*v**2 - 2019456*v + 1105408 = 0.
-34, 254/281, 4
What is k in 1822*k**2/3 + 15174*k/5 - 28/3 = 0?
-5, 14/4555
Factor -17817042675*h**3 + 3403055459185*h**2 - 176632984*h/3 + 764/3.
-(h - 191)*(231195*h - 2)**2/3
Factor 100800500*x**5 - 44900*x**4 + 5*x**3.
5*x**3*(4490*x - 1)**2
Solve -k**5/7 + 44*k**4/7 + 15*k**3/7 - 2606*k**2/7 + 688*k = 0.
-8, 0, 2, 7, 43
Determine q so that -2*q**3 + 9585666*q**2 + 95856810*q + 239642150 = 0.
-5, 4792843
Suppose -2*l**3/5 - 13680048*l**2/5 - 23393018880384*l/5 - 187143275521024/5 = 0. What is l?
-3420