94)**2
Solve 5*s**5 + 1495*s**4 + 80775*s**3 + 1562285*s**2 + 10333000*s + 8850000 = 0.
-236, -25, -12, -1
Determine k, given that -5*k**3 + 430*k**2 - 845*k + 420 = 0.
1, 84
Solve 5*a**2 - 595*a + 10670 = 0 for a.
22, 97
Determine g, given that 2*g**3/15 + 72718*g**2/3 + 727174*g/15 + 363586/15 = 0.
-181793, -1
Let 54*o**5 + 1839*o**4 + 6813*o**3 + 7296*o**2 + 108*o - 2160 = 0. What is o?
-30, -2, -3/2, -1, 4/9
Factor -z**4/3 + 8*z**3 + 1536*z**2 + 90112*z/3.
-z*(z - 88)*(z + 32)**2/3
Find x such that 10*x**2/11 - 23196*x/11 - 9280/11 = 0.
-2/5, 2320
Factor -2*f**2 + 78126*f + 78128.
-2*(f - 39064)*(f + 1)
Find z such that z**2/3 - 4610*z - 27664/3 = 0.
-2, 13832
Let -2*g**2/7 - 147360*g/7 - 2714371200/7 = 0. What is g?
-36840
Solve b**4/4 - 69*b**3/2 - 698*b**2 + 332997*b/2 - 663065/4 = 0 for b.
-65, 1, 101
Determine z, given that -z**5/4 - 84*z**4 + 677*z**3/2 - 509*z**2 + 1359*z/4 - 85 = 0.
-340, 1
Factor q**4/2 + 29*q**3 + 449*q**2/2 + 196*q.
q*(q + 1)*(q + 8)*(q + 49)/2
Factor -5*r**3 - 658100*r**2 + 1316215*r - 658110.
-5*(r - 1)**2*(r + 131622)
What is a in 59*a**5 - 3131*a**4 + 46055*a**3 - 119633*a**2 + 81650*a - 5000 = 0?
4/59, 1, 2, 25
Suppose -r**3 + 221566*r**2 - 12273094652*r + 24545303048 = 0. Calculate r.
2, 110782
Solve -p**2/4 - 538*p - 6447/4 = 0 for p.
-2149, -3
Solve -u**3/2 + 4*u**2 + 8*u - 64 = 0 for u.
-4, 4, 8
Factor 2*i**3/11 + 210*i**2/11 - 1092*i/11 + 80.
2*(i - 4)*(i - 1)*(i + 110)/11
Suppose 4*r**4/5 + 45672*r**3/5 + 273936*r**2/5 + 547808*r/5 + 365184/5 = 0. Calculate r.
-11412, -2
Factor 2*u**2 - 1978*u + 1976.
2*(u - 988)*(u - 1)
Solve -2*c**2/17 + 412678*c/17 + 412680/17 = 0 for c.
-1, 206340
What is f in -3*f**3 - 577245*f**2 - 27765051384*f + 249932221488 = 0?
-96212, 9
Solve -2*i**5/7 + 5888*i**4/7 - 58752*i**3/7 + 211356*i**2/7 - 316926*i/7 + 158436/7 = 0 for i.
1, 3, 2934
Solve -2*l**4/7 + 479424*l**3/7 - 28731400892*l**2/7 + 57461363520*l/7 - 28730442050/7 = 0.
1, 119855
Let 4*b**5 + 52*b**4 - 1176*b**3 - 2704*b**2 + 4640*b + 9984 = 0. What is b?
-24, -2, 2, 13
Find h, given that -4*h**2/3 - 52760*h - 521928300 = 0.
-19785
Factor w**4/5 - 5778*w**3/5 + 8340541*w**2/5 + 3339684*w + 1670420.
(w - 2890)**2*(w + 1)**2/5
Determine r so that 5*r**4 + 7105*r**3 - 42765*r**2 + 64215*r = 0.
-1427, 0, 3
Factor 2*y**2/13 - 34550*y/13 + 69092/13.
2*(y - 17273)*(y - 2)/13
Factor -2*p**3 + 359186*p**2 - 16126643230*p - 16127002418.
-2*(p - 89797)**2*(p + 1)
Determine o so that 20*o**4 + 1804*o**3 + 47100*o**2 + 278308*o + 53792 = 0.
-41, -8, -1/5
Factor -3*k**3 - 61275*k**2 - 245064*k - 245052.
-3*(k + 2)**2*(k + 20421)
Factor 4*h**2 - 174984*h + 1913712516.
4*(h - 21873)**2
Factor -3*c**3 + 2079*c**2 + 198390*c.
-3*c*(c - 778)*(c + 85)
Solve -15*s**3 - 4224*s**2 - 296523*s + 119286 = 0.
-141, 2/5
Factor 4*x**2/9 + 16760*x/3 - 1007200/9.
4*(x - 20)*(x + 12590)/9
Solve i**4/4 + 7325*i**3/4 + 7323*i**2/4 - 7325*i/4 - 1831 = 0.
-7324, -1, 1
Determine f, given that -2*f**2/9 + 496*f/9 - 270 = 0.
5, 243
Factor -5*x**3 - 14160*x**2 + 45*x + 127440.
-5*(x - 3)*(x + 3)*(x + 2832)
Determine f so that 2*f**5 - 11012*f**4 + 15147002*f**3 + 30327048*f**2 + 15169032*f = 0.
-1, 0, 2754
Determine p so that -3*p**4 + 1995*p**3 + 891108*p**2 - 920822256*p + 175144296384 = 0.
-667, 444
Solve -2*b**3/13 - 168*b**2 + 4374*b/13 - 2188/13 = 0.
-1094, 1
Factor -5*q**2 + 35670*q + 285680.
-5*(q - 7142)*(q + 8)
Find b, given that 2*b**5/3 - 136*b**4/3 + 366*b**3 - 2116*b**2/3 - 520*b/3 + 944 = 0.
-1, 2, 6, 59
Factor -m**2/8 - 19991*m/8 - 19989/4.
-(m + 2)*(m + 19989)/8
Suppose -5*c**5/6 + 2135*c**4/6 - 7675*c**3/2 + 60265*c**2/6 + 11515*c/3 - 10400 = 0. Calculate c.
-1, 1, 5, 6, 416
Let -5*j**5 - 25*j**4 + 110*j**3 + 460*j**2 - 360*j - 1440 = 0. Calculate j.
-6, -3, -2, 2, 4
Factor 2*o**4/17 - 15584*o**3/17 + 30605952*o**2/17 - 967454720*o/17 + 7707852800/17.
2*(o - 3880)**2*(o - 16)**2/17
Suppose 2*l**3 - 21854*l**2 + 59819680*l - 655374808 = 0. Calculate l.
11, 5458
Let -x**4/10 + 42281*x**3/10 - 446899597*x**2/10 - 89405289*x/2 + 446941881/5 = 0. Calculate x.
-2, 1, 21141
Let 35*r**5 + 11155*r**4 + 903800*r**3 + 2384200*r**2 + 992240*r - 499280 = 0. Calculate r.
-158, -2, -1, 2/7
Determine d so that 2*d**4/7 + 214*d**3/7 - 194*d**2 - 214*d/7 + 1356/7 = 0.
-113, -1, 1, 6
Factor w**5 - 412*w**4 - 1242*w**3 - 1244*w**2 - 415*w.
w*(w - 415)*(w + 1)**3
Factor 2*h**2/13 + 172*h + 227130/13.
2*(h + 113)*(h + 1005)/13
Solve 23716*h**4 + 191268*h**3 + 290777*h**2 - 765072*h - 1542564 = 0 for h.
-621/154, -2, 2
Determine k, given that -k**4/5 + 86*k**3/5 - 2317*k**2/5 + 23724*k/5 - 81972/5 = 0.
9, 22, 46
Suppose 2*h**2/13 + 45804*h/13 + 262250802/13 = 0. Calculate h.
-11451
Let -2*k**3 - 2200*k**2 - 620106*k - 8255772 = 0. What is k?
-543, -14
Determine j, given that -35*j**5 - 990*j**4 - 10595*j**3 - 52380*j**2 - 114560*j - 80640 = 0.
-8, -7, -4, -9/7
Factor -4*g**4/3 - 23176*g**3 - 100711308*g**2.
-4*g**2*(g + 8691)**2/3
What is v in -3*v**2 + 197247*v - 591714 = 0?
3, 65746
Let 4*c**5 + 11788*c**4 + 8584064*c**3 - 148401808*c**2 + 702064896*c - 562258944 = 0. What is c?
-1482, 1, 8
Factor 2*c**2 - 37458*c + 149800.
2*(c - 18725)*(c - 4)
Find x such that -x**4 - 129*x**3 - 1963*x**2 + 72957*x - 70864 = 0.
-103, -43, 1, 16
Solve 74*i**5/7 - 20058*i**4/7 + 198496*i**3 - 4100944*i**2/7 + 2875104*i/7 - 143648/7 = 0 for i.
2/37, 1, 2, 134
Find x such that -2*x**3/3 + 5030*x**2/9 - 11708*x/9 + 3344/9 = 0.
1/3, 2, 836
Find w, given that 3*w**4 - 1341*w**3/5 + 26094*w**2/5 - 150624*w/5 + 11232 = 0.
2/5, 12, 65
Suppose c**4/3 - 22*c**3/3 + 27*c**2 + 156*c = 0. What is c?
-3, 0, 12, 13
Factor 22*h**2 - 320*h/3 + 376/3.
2*(h - 2)*(33*h - 94)/3
Factor 9*h**2/2 - 257727*h/2 + 42954.
3*(h - 28636)*(3*h - 1)/2
Find y, given that -4*y**2 - 37884*y + 75784 = 0.
-9473, 2
Suppose -5*b**5 + 390*b**4 + 1615*b**3 + 2040*b**2 + 820*b = 0. Calculate b.
-2, -1, 0, 82
Solve -14*r**4 - 1982*r**3 + 860*r**2 + 1136*r = 0 for r.
-142, -4/7, 0, 1
Factor 3*c**2 - 65268*c + 354992652.
3*(c - 10878)**2
Find j, given that 5*j**4 - 1515*j**3 - 110690*j**2 + 44410860*j + 89252280 = 0.
-163, -2, 234
Suppose -p**2/5 + 94*p/5 - 384 = 0. What is p?
30, 64
Let 38*u**4 + 186*u**3 - 8912*u**2 + 936*u = 0. What is u?
-18, 0, 2/19, 13
Factor 242*w**4 - 47256*w**3 + 2639592*w**2 - 32477760*w + 114307200.
2*(w - 90)**2*(11*w - 84)**2
Factor 4*r**4 - 1264*r**3 - 10304*r**2 - 20736*r.
4*r*(r - 324)*(r + 4)**2
Suppose -2*t**5 - 8302*t**4 = 0. Calculate t.
-4151, 0
Let y**4 - 111*y**3 + 837*y**2 - 1345*y + 618 = 0. What is y?
1, 6, 103
Factor 6*a**2/11 + 714*a/11 + 4704/11.
6*(a + 7)*(a + 112)/11
Factor -5*j**2 - 7415*j - 59000.
-5*(j + 8)*(j + 1475)
Determine n so that 16*n**3 + 648*n**2 + 8241*n + 33620 = 0.
-20, -41/4
Factor -15*z**3 + 366*z**2 + 36711*z - 14742.
-3*(z - 63)*(z + 39)*(5*z - 2)
Factor 2*n**3/5 - 48*n**2/5 - 96*n + 2560.
2*(n - 20)**2*(n + 16)/5
Let -21*k**5 + 16281*k**4 - 37137*k**3 + 25515*k**2 - 4638*k = 0. What is k?
0, 2/7, 1, 773
Factor 218*d**2 - 337048*d + 30920.
2*(d - 1546)*(109*d - 10)
What is o in -1252*o**2 - 8696*o + 476 = 0?
-7, 17/313
Determine d so that -2*d**2/3 + 2102*d/3 + 5648 = 0.
-8, 1059
Factor -s**4/5 + 1222*s**3/5 + 4904*s**2/5.
-s**2*(s - 1226)*(s + 4)/5
Find f such that -26*f**2 - 113644*f - 104880 = 0.
-4370, -12/13
What is w in -2*w**4/7 - 932*w**3/7 - 58648*w**2/7 + 932*w/7 + 58650/7 = 0?
-391, -75, -1, 1
Solve 4*h**4 + 24430*h**3 + 61058*h**2 + 48842*h + 12210 = 0.
-6105, -1, -1/2
Let -4*q**5/3 - 380*q**4/3 - 8812*q**3/3 + 3716*q**2 + 15744*q + 9216 = 0. Calculate q.
-48, -1, 3
Solve 3*r**4 - 9*r**3 - 54*r**2 + 96*r + 288 = 0 for r.
-3, -2, 4
Find d such that -2*d**3/11 - 2252*d**2/11 - 633938*d/11 = 0.
-563, 0
Factor n**3/7 + 4831*n**2/7 - 92170*n/7 - 97000/7.
(n - 20)*(n + 1)*(n + 4850)/7
What is j in -4*j**4 + 1108*j**3 - 102672*j**2 + 3216320*j - 3114752 = 0?
1, 92
Factor -4*r**2 - 6418*r - 3208.
-2*(r + 1604)*(2*r + 1)
Factor -j**3/3 - 295*j**2/3 - 7109*j - 7011.
-(j + 1)*(j + 123)*(j + 171)/3
What is h in -1352*h**4 - 10764*h**3 + 12608*h**2 - 276*h - 216 = 0?
-9, -3/26, 2/13, 1
Solve -y**2/9 + 3128054*y/9 - 2446180456729/9 = 0.
1564027
Let -9*i**3/4 + 426*i**2 - 26547*i/4 - 12255 = 0. What is i?
-5/3, 19, 172
Factor w**3/9 - 7*w**2/3 - 