mine v so that -22*v**4/5 + 26836*v**3/5 + 4954*v**2/5 - 90328*v/5 + 11712 = 0.
-24/11, 1, 1220
Factor -n**2/4 - 7501067*n/4 - 28128945.
-(n + 15)*(n + 7501052)/4
Find f such that 3*f**4 - 684*f**3 - 30747*f**2 - 131976*f + 163404 = 0.
-34, -6, 1, 267
Suppose 2*q**5 + 20166*q**4 - 282778*q**3 - 626046*q**2 - 323104*q = 0. Calculate q.
-10097, -1, 0, 16
Suppose 606642564913225*u**3/8 - 606642663433685*u**2/8 + 12315058*u - 1/2 = 0. Calculate u.
2/24630115, 1
Factor q**2 - 81072*q + 2674287.
(q - 81039)*(q - 33)
Let 1455*x**2 - 171837*x/2 + 8673/2 = 0. Calculate x.
49/970, 59
Factor -5*n**2 + 395650*n - 1186905.
-5*(n - 79127)*(n - 3)
Let 6*w**5/7 + 268938*w**4/7 + 3005438400*w**3/7 - 184074944784*w**2/7 + 414391914720*w - 388524880800 = 0. Calculate w.
-22442, 1, 30
Find u such that 4*u**2 + 6791332*u + 237691720 = 0.
-1697798, -35
Factor 80*v**2 - 149916520*v + 70234259277845.
5*(4*v - 3747913)**2
Let x**4/5 + 34756*x**3/5 - 243341*x**2/5 = 0. What is x?
-34763, 0, 7
Let -2*l**5/3 + 932*l**4/3 - 3700*l**3/3 + 1840*l**2/3 + 1234*l - 924 = 0. What is l?
-1, 1, 3, 462
Let 4*v**4 + 6476*v**3 - 177568*v**2 + 329200*v = 0. What is v?
-1646, 0, 2, 25
Factor -5*s**2 + 186136530*s - 1732340390022045.
-5*(s - 18613653)**2
Let -2*a**4/3 + 786*a**3 - 351430*a**2/3 + 566150*a = 0. Calculate a.
0, 5, 169, 1005
Factor -62*w**2/15 - 26588*w/15 - 51118/3.
-2*(w + 419)*(31*w + 305)/15
Factor -x**2 - 7734763*x/2 - 3867381/2.
-(x + 3867381)*(2*x + 1)/2
Determine u so that 25913163*u**2 + 35726484*u + 12314028 = 0.
-2026/2939
Suppose -4*l**5 + 210*l**4 + 108*l**3 - 50618*l**2 + 193152*l - 142848 = 0. What is l?
-31/2, 1, 3, 16, 48
Suppose -y**3 + 745*y**2 + 33728*y + 122928 = 0. Calculate y.
-39, -4, 788
Factor i**2/5 - 1127668*i/5 - 5638465.
(i - 1127693)*(i + 25)/5
Factor -a**4 + 6821948*a**3 - 11634764094502*a**2 + 69808400374524*a - 104712508465569.
-(a - 3410971)**2*(a - 3)**2
Suppose -2*u**5/9 + 1668*u**4 - 13937876*u**3/3 + 51218089432*u**2/9 - 7773208306006*u/3 + 5159412416356 = 0. What is u?
2, 1541, 2211
Let 33*f**4 + 11694*f**3 + 90417*f**2 - 353604*f + 251460 = 0. Calculate f.
-3810/11, -11, 1, 2
Solve 4*l**2/7 + 512*l - 92100/7 = 0 for l.
-921, 25
Factor 5*t**2 - 748705*t + 6737940.
5*(t - 149732)*(t - 9)
Suppose 2*s**2/11 - 144132*s/11 - 10965584/11 = 0. What is s?
-76, 72142
Determine x so that x**2/7 + 2671*x + 37390/7 = 0.
-18695, -2
Find q, given that 12*q**4 + 25796276*q**3/3 + 4621155631064*q**2/3 - 3594253495184*q/3 - 1026927932192/3 = 0.
-358282, -2/9, 1
Factor -2*i**2 - 4304*i - 907710.
-2*(i + 237)*(i + 1915)
Factor 2*d**2 - 4994546*d + 14983620.
2*(d - 2497270)*(d - 3)
Determine t, given that -5*t**5 - 28885*t**4 - 55756770*t**3 - 36218245850*t**2 - 493403672905*t + 1807683005055 = 0.
-1921, -17, 3
Factor g**3/10 + 524*g**2/5 - 19749*g/2.
g*(g - 87)*(g + 1135)/10
Solve -y**4 - 635199*y**3 - 100864678265*y**2 + 1513096581171*y - 2622729367674 = 0.
-317607, 2, 13
Solve y**4/4 - 87259*y**3/2 + 7598410261*y**2/4 + 342989387595*y + 15450441797025 = 0.
-90, 87349
Determine f so that f**4/5 + 1302*f**3/5 + 28087*f**2/5 - 18678*f + 12800 = 0.
-1280, -25, 1, 2
What is t in -3*t**2 - 20280*t - 27586053 = 0?
-4873, -1887
Determine z so that -z**4 + 2186*z**3 + 183184*z**2 + 1004806*z - 1190175 = 0.
-75, -7, 1, 2267
Suppose 2*j**5/17 + 18*j**4/17 - 674*j**3/17 - 210*j**2 = 0. What is j?
-21, -5, 0, 17
Find g, given that 4*g**2 - 322728*g + 3872160 = 0.
12, 80670
Solve -3*s**2 + 2948911*s + 1965942 = 0 for s.
-2/3, 982971
Suppose 2*t**3/7 - 4210*t**2/7 + 169076*t/7 + 355008/7 = 0. Calculate t.
-2, 43, 2064
Determine x, given that -3*x**4/4 - 15195*x**3/2 + 34268163*x**2/4 + 17149275*x/2 = 0.
-11154, -1, 0, 1025
Suppose -2*t**5/11 - 298*t**4/11 + 5266*t**3/11 - 234*t**2 - 43200*t/11 + 5400 = 0. Calculate t.
-165, -3, 2, 15
Determine u, given that 2*u**4/7 - 1348*u**3/7 - 128734*u**2/7 - 1511520*u/7 + 1641600/7 = 0.
-72, -15, 1, 760
Factor 2*y**2/19 - 353925780*y/19 + 15657932218576050/19.
2*(y - 88481445)**2/19
Determine s, given that -2*s**5/13 - 88*s**4/13 + 1416*s**3/13 - 3852*s**2/13 - 4806*s/13 + 18468/13 = 0.
-57, -2, 3, 9
Suppose 6*d**3/7 - 10502*d**2/7 - 17516*d/7 - 7008/7 = 0. What is d?
-1, -2/3, 1752
Suppose -2*a**3/7 - 52292*a**2/7 - 46678592*a + 198955908864/7 = 0. Calculate a.
-13352, 558
Factor l**2/3 + 19203983*l/3 - 6401328.
(l - 1)*(l + 19203984)/3
Find s such that 5*s**4 + 5060*s**3 + 1245145*s**2 + 108677290*s + 3124499280 = 0.
-698, -168, -73
Factor m**3 + 79507449*m**2 + 1580358651375624*m + 1580358571868176.
(m + 1)*(m + 39753724)**2
Find m, given that 2*m**3/21 - 3522410*m**2/21 + 73844431424*m + 7903274663424 = 0.
-107, 880656
Let n**2/2 - 21409329*n + 458359368230241/2 = 0. What is n?
21409329
Suppose -3*s**5/2 + 68589*s**4/2 - 200947227*s**3 + 55990601289*s**2 - 222756996135*s/2 + 111177619425/2 = 0. What is s?
1, 291, 11285
Suppose y**4/2 - 229*y**3/2 + 4113*y**2/2 + 13957*y/2 + 4807 = 0. What is y?
-2, -1, 23, 209
What is s in -2*s**3/3 + 506*s**2/3 - 16348*s/3 - 73616/3 = 0?
-4, 43, 214
Suppose 4*p**2 + 126472*p - 17401740 = 0. Calculate p.
-31755, 137
Factor 2*k**4/3 + 25752140*k**3/3 + 36842931449104*k**2 + 158130782852823427508*k/3 + 158130672324054832334/3.
2*(k + 1)*(k + 4292023)**3/3
What is x in -2*x**4 - 900*x**3 - 90000*x**2 + 2459620*x + 2548722 = 0?
-253, -219, -1, 23
Factor 574*u**2/15 + 16664*u/15 - 18176/5.
2*(u + 32)*(287*u - 852)/15
Suppose 5*n**4 + 15875*n**3 - 159385*n**2 - 429795*n + 573300 = 0. What is n?
-3185, -3, 1, 12
Suppose -p**2/10 + 329185639*p/5 - 108363184923838321/10 = 0. Calculate p.
329185639
Factor 2*l**2 - 194807362*l - 194807364.
2*(l - 97403682)*(l + 1)
Let 2*i**3/3 - 182630*i**2/3 + 730496*i/3 - 243496 = 0. What is i?
2, 91311
Let 4*k**2 - 607388*k + 4251520 = 0. Calculate k.
7, 151840
Find s, given that -4*s**3 + 22268244*s**2 - 44536476*s + 22268236 = 0.
1, 5567059
Let -c**2 - 1813373*c + 85230740 = 0. Calculate c.
-1813420, 47
Let -5*w**2 + 665331920*w - 22133328188544320 = 0. What is w?
66533192
Solve -5*l**4/2 - 6172445*l**3/2 - 952484647470*l**2 - 4762358426890*l - 3809876865640 = 0.
-617242, -4, -1
Solve 4*s**3/9 - 1232117*s**2/9 + 308029*s/9 = 0.
0, 1/4, 308029
Find h, given that -3*h**4/2 + 2178*h**3 - 595773*h**2/2 - 304428*h + 600138 = 0.
-2, 1, 154, 1299
Determine b, given that -25*b**3 + 52940*b**2 + 26951379*b + 3100810158 = 0.
-1101/5, 2558
Find z such that z**2/6 - 2216*z/3 + 50890 = 0.
70, 4362
Let 11*r**3 + 126006*r**2 + 389392*r + 274848 = 0. What is r?
-11452, -2, -12/11
Let 3*i**2 - 46614*i - 48143160 = 0. Calculate i.
-972, 16510
Determine d, given that 9*d**3 + 4649358*d**2 - 7748949*d + 3099582 = 0.
-516597, 2/3, 1
Determine t so that -826*t**3/19 - 218472040*t**2/19 - 14446135143458*t/19 + 69957076036/19 = 0.
-132247, 2/413
Factor 3*l**2 - 600781008*l + 30078151631124672.
3*(l - 100130168)**2
Find f, given that -2*f**4/11 - 8980*f**3/11 - 10529568*f**2/11 - 435891456*f - 762511325184/11 = 0.
-2978, -504
Factor -g**3 - 1089*g**2 + 118570*g - 1927800.
-(g - 81)*(g - 20)*(g + 1190)
Solve x**3/4 - 516015*x**2/4 + 1290025*x/2 = 0.
0, 5, 516010
Suppose -z**4 - 233*z**3 - 9844*z**2 - 43632*z + 1995840 = 0. Calculate z.
-180, -36, -28, 11
Determine s so that 623*s**2 - 199313*s/2 - 3760 = 0.
-47/1246, 160
Factor 3*t**4 - 358620*t**3 - 1075878*t**2 - 1075884*t - 358629.
3*(t - 119543)*(t + 1)**3
Find w, given that 2*w**2/7 + 46269180*w/7 - 46269182/7 = 0.
-23134591, 1
Let -16*g**5 - 10757204*g**4 + 61854332*g**3 - 80679756*g**2 - 24203916*g = 0. Calculate g.
-672331, -1/4, 0, 3
Suppose 9*j**3/2 + 30300*j**2 - 8891961*j/2 = 0. What is j?
-6877, 0, 431/3
Factor -2*f**5 + 15884*f**4 + 1054152*f**3 + 23233936*f**2 + 170538368*f.
-2*f*(f - 8008)*(f + 22)**3
Factor y**3 + 961058*y**2 - 4*y - 3844232.
(y - 2)*(y + 2)*(y + 961058)
Factor -4*h**2/7 - 117680*h/7.
-4*h*(h + 29420)/7
Determine y so that 2*y**5 + 402*y**4 + 8382*y**3 - 72626*y**2 + 165216*y - 101376 = 0.
-176, -32, 1, 3
Solve x**3/3 + 672320*x**2 + 26220311*x/3 = 0 for x.
-2016947, -13, 0
Factor 5*v**3 - 885360*v**2 + 39185147025*v + 705619532250.
5*(v - 88545)**2*(v + 18)
What is w in -5*w**5/2 + 360*w**4 - 11795*w**3/2 + 28890*w**2 - 27850*w - 63000 = 0?
-1, 4, 5, 10, 126
Factor 5*u**3 - 25528922*u**2 + 102115