2478633, -2
Factor -2*w**2 + 17742540*w + 17742542.
-2*(w - 8871271)*(w + 1)
Factor -6*t**2 + 196666190*t - 65555396.
-2*(t - 32777698)*(3*t - 1)
Factor -2*b**3 + 285328*b**2 - 2282528*b + 4564992.
-2*(b - 142656)*(b - 4)**2
Factor -2*i**2/7 + 21513370*i/7 - 64540092/7.
-2*(i - 10756682)*(i - 3)/7
Find n such that -3*n**3 - 58629*n**2 + 6841683*n + 6900309 = 0.
-19659, -1, 117
Factor 2*b**2 - 11316408*b + 22632808.
2*(b - 5658202)*(b - 2)
Suppose 3*x**2 + 11050569*x - 11050572 = 0. Calculate x.
-3683524, 1
Factor 4*r**2/9 - 864*r - 92752.
4*(r - 2046)*(r + 102)/9
Find t such that 3*t**4/2 + 144195*t**3/2 - 2019483*t**2/2 - 7932831*t/2 + 4904058 = 0.
-48079, -4, 1, 17
Factor y**2/4 - 5296853*y/2 + 28056651703609/4.
(y - 5296853)**2/4
Factor -2*d**2/5 - 199054*d/5 - 477672.
-2*(d + 12)*(d + 99515)/5
Factor 2*a**4/7 - 3888*a**3/7 + 2832752*a**2/7 - 916774848*a/7 + 111199507232/7.
2*(a - 506)**2*(a - 466)**2/7
Factor 3*v**2/4 + 1039403*v + 2771736.
(v + 1385868)*(3*v + 8)/4
Factor -t**2 - 6847*t - 1901530.
-(t + 290)*(t + 6557)
Determine o, given that 170*o**5 - 1329615*o**4 + 2594001655*o**3 + 22753451115*o**2 + 14640318675*o - 5517801000 = 0.
-8, -1, 9/34, 3915
Determine f, given that 15*f**4 + 1263*f**3 + 12771*f**2 - 16635*f - 28158 = 0.
-361/5, -13, -1, 2
Solve -2*c**3 - 104876152*c**2 + 419504632*c - 419504640 = 0 for c.
-52438080, 2
Suppose 3*s**3 + 769179*s**2 + 49277250240*s - 3305029512900 = 0. What is s?
-128230, 67
Factor -g**2/4 - 2881570*g + 5763141.
-(g - 2)*(g + 11526282)/4
Factor -39*x**2/7 - 2978*x/7 - 152.
-(x + 76)*(39*x + 14)/7
Factor -3*i**2/8 - 108411*i/8 - 541905/4.
-3*(i + 10)*(i + 36127)/8
Suppose -3*t**3/5 + 19746*t**2/5 - 35499*t + 157752/5 = 0. What is t?
1, 8, 6573
Determine g so that -2*g**2 + 34458*g + 18532044 = 0.
-522, 17751
Solve 4*o**2 - 638634912*o = 0 for o.
0, 159658728
Factor -m**3/2 - 144*m**2 - 8781*m/2 - 18415.
-(m + 5)*(m + 29)*(m + 254)/2
Determine s, given that -3932160*s**4 - 15556608*s**3 - 22574336*s**2 - 127079176*s/9 - 28490638/9 = 0.
-109/96, -11/20
What is j in -j**2 - 28489254*j - 202909398369129 = 0?
-14244627
Factor 3*i**2 + 82249524*i + 82249521.
3*(i + 1)*(i + 27416507)
Solve 48*u**3/5 + 6689*u**2/5 + 8943*u/5 - 3726/5 = 0 for u.
-138, -27/16, 1/3
Find s, given that -2*s**5 + 1534*s**4 - 273918*s**3 - 7930926*s**2 + 17748720*s + 25404192 = 0.
-27, -1, 3, 396
Factor -2*n**3 + 1542*n**2 + 170130*n + 168586.
-2*(n - 869)*(n + 1)*(n + 97)
Find t such that 2*t**4/9 - 955316*t**3/3 + 114078582482*t**2 = 0.
0, 716487
Solve 3*s**4 - 9507*s**3 + 56931*s**2 + 9507*s - 56934 = 0 for s.
-1, 1, 6, 3163
Suppose -2*s**5/3 + 74*s**4 - 3076*s**3/3 - 3760*s**2 = 0. Calculate s.
-3, 0, 20, 94
Suppose 2*d**3/3 - 22714*d**2/3 + 90784*d - 272280 = 0. Calculate d.
6, 11345
Find u such that -2*u**2/11 + 128492*u/11 + 18673390/11 = 0.
-145, 64391
Determine j, given that -j**4 - 852*j**3 + 11335*j**2 + 77850*j = 0.
-865, -5, 0, 18
Find d such that -d**3 + 81218*d**2 - 162433*d + 81216 = 0.
1, 81216
Determine c, given that 3*c**3/7 + 121260*c**2/7 + 199075200*c + 3272975232000/7 = 0.
-18640, -3140
Let -3*o**3/7 + 570546003*o**2/7 = 0. Calculate o.
0, 190182001
Solve -2*q**4 - 74820*q**3 - 704154506*q**2 - 82310529480*q - 2420501625992 = 0.
-18646, -59
Determine x so that 5*x**2 - 65451900*x + 214197560680500 = 0.
6545190
What is y in -3*y**3 + 1144521*y**2 - 2289021*y - 3433545 = 0?
-1, 3, 381505
Find n, given that -n**3/4 - 138441*n**2/2 - 19142076441*n/4 + 825158378347 = 0.
-138527, 172
Suppose -2*u**2 + 375046304*u - 17582466268007552 = 0. What is u?
93761576
Determine i, given that -i**2 + 181654*i - 4177513 = 0.
23, 181631
Let 2718*r**3 + 60959308*r**2/9 + 60944810*r/9 + 9964/9 = 0. Calculate r.
-2491, -1, -2/12231
What is c in 5*c**2 + 35075*c - 2838000 = 0?
-7095, 80
Determine r, given that 5*r**2 + 7825*r + 1833930 = 0.
-1278, -287
Let 2*u**3/5 + 13422*u**2 + 83316654*u/5 + 26358753834/5 = 0. What is u?
-32277, -639
Find h such that 5*h**4 - 28645*h**3 - 373275*h**2 + 256365*h + 11627550 = 0.
-9, 5, 5742
Factor 32788802*m**2 + 12147000*m + 1125000.
2*(4049*m + 750)**2
Factor -y**3 - 7532*y**2 - 2859931*y - 2852400.
-(y + 1)*(y + 400)*(y + 7131)
Factor v**2 + 2395357*v - 4790718.
(v - 2)*(v + 2395359)
Factor -4*f**3 - 36988*f**2 + 1225720*f + 7052800.
-4*(f - 38)*(f + 5)*(f + 9280)
Let x**5/10 + 50539*x**4/10 + 638168433*x**3/10 - 9583193179*x**2/10 + 4472487103*x/5 = 0. Calculate x.
-25277, 0, 1, 14
Suppose -5*k**2 - 6500*k + 1551180 = 0. Calculate k.
-1506, 206
Factor 2*g**2/7 + 16268454*g/7 + 32536900/7.
2*(g + 2)*(g + 8134225)/7
Find l such that 4*l**2 + 52608*l + 76228208 = 0.
-11494, -1658
Solve -130*c**5/11 + 121296*c**4/11 + 359030*c**3/11 + 368628*c**2/11 + 146000*c/11 + 14976/11 = 0.
-1, -4/5, -2/13, 936
Find l such that -l**4 - 2203*l**3 + 66882*l**2 - 241060*l + 232232 = 0.
-2233, 2, 26
Factor -4*n**2/7 + 208924*n/7 - 41417472/7.
-4*(n - 52032)*(n - 199)/7
Determine s so that 5*s**3 - 28680*s**2 - 6474635*s - 90649650 = 0.
-203, -15, 5954
What is b in -16*b**3/11 - 714872*b**2/11 + 4647175*b/11 - 7551934/11 = 0?
-44686, 13/4
What is s in 3*s**4 - 2622*s**3 + 746424*s**2 - 67735968*s - 283055232 = 0?
-4, 214, 332
What is w in -3*w**3 - 7596054*w**2 + 3*w + 7596054 = 0?
-2532018, -1, 1
Find r, given that -r**4/2 + 108191*r**3 - 11731229521*r**2/2 + 1403077147320*r - 84091255495200 = 0.
120, 108071
Factor 2*c**2 + 10330836*c + 13340771557362.
2*(c + 2582709)**2
Determine d so that 15*d**4/8 + 277769*d**3/4 - 629657*d**2/8 - 129629*d + 37037/2 = 0.
-37037, -1, 2/15, 2
Let -5*j**3 + 4995*j**2 - 96955*j - 925155 = 0. Calculate j.
-7, 27, 979
Determine a so that 3*a**3/4 - 481427*a**2/2 - 9307851*a/4 - 2888649/2 = 0.
-9, -2/3, 320961
Find f such that 6*f**5 - 134954*f**4 + 1528930*f**3 - 4990902*f**2 + 2697520*f + 4496200 = 0.
-2/3, 2, 5, 22481
Let -5*p**3/3 + 1968035*p**2/3 - 193402975975*p/3 - 50223475403255/3 = 0. What is p?
-259, 196933
Suppose b**3/7 + 16535*b**2/7 - 4553008*b/7 + 44408896 = 0. What is b?
-16807, 136
What is l in -2*l**2 + 119166*l - 119164 = 0?
1, 59582
Find t such that -t**5/5 + 6*t**4 + 1553*t**3/5 + 4218*t**2/5 - 1160*t = 0.
-25, -4, 0, 1, 58
Let -32*p**4 - 111148272*p**3 - 96515115717506*p**2 + 48257578699056*p - 6032198205728 = 0. Calculate p.
-1736692, 1/4
Determine k so that 4*k**5 + 1284*k**4 + 119276*k**3 + 450764*k**2 - 366389184*k - 11409181952 = 0.
-131, -56, 53
Factor m**4 + 292*m**3 - 22035*m**2 + 264194*m - 872200.
(m - 50)*(m - 7)**2*(m + 356)
Factor z**3/3 - 620*z**2/3 + 109364*z/3 - 4043200/3.
(z - 304)*(z - 266)*(z - 50)/3
Factor -g**2/7 + 24629840*g/7 - 151657254606400/7.
-(g - 12314920)**2/7
Determine x so that -x**5 + 2176*x**4 + 222472*x**3 + 863744*x**2 + 855024*x = 0.
-94, -2, 0, 2274
Determine p so that -2*p**2/9 + 497518*p/3 - 1492552/9 = 0.
1, 746276
Factor 5*w**2 + 13607020*w - 27214060.
5*(w - 2)*(w + 2721406)
Solve d**2 + 14904*d + 9128960 = 0 for d.
-14264, -640
Determine i so that 5*i**4 - 4740*i**3 - 226416690*i**2 + 107853993180*i + 2588724172780245 = 0.
-4539, 5013
Solve 5*j**4 + 1615*j**3 + 178885*j**2 + 8329745*j + 139972470 = 0 for j.
-151, -66, -53
Suppose 4*a**4 + 12924340*a**3 + 13919832980064*a**2 + 4997266438243675904*a - 54971615137673377792 = 0. What is a?
-1077032, 11
Factor -6*n**2/7 - 398178*n/7 - 82165752/7.
-6*(n + 207)*(n + 66156)/7
Suppose -6*i**5/11 - 826*i**4/11 + 33268*i**3/11 + 253736*i**2/11 + 154128*i/11 = 0. Calculate i.
-169, -6, -2/3, 0, 38
Factor -n**2/4 - 7574179*n/2 - 57368187524041/4.
-(n + 7574179)**2/4
Suppose -2*g**5/5 - 6682*g**4/5 - 66674*g**3/5 - 179878*g**2/5 - 13244*g/5 + 53296 = 0. Calculate g.
-3331, -5, -4, -2, 1
Factor -b**4 - 34207884*b**3 - 292544900355124*b**2 - 1170179190925920*b - 1170179054094400.
-(b + 2)**2*(b + 17103940)**2
Suppose 69*v**4/7 - 3606*v**3/7 + 47925*v**2/7 - 55728*v/7 + 1620 = 0. What is v?
6/23, 1, 21, 30
What is w in 6*w**4/7 - 8808*w**3 + 114206304*w**2/7 + 457565280*w/7 + 457812000/7 = 0?
-2, 2430, 7850
Find s such that -3*s**2/4 + 5986452*s - 23945805/4 = 0.
1, 7981935
Let 104*u**3/5 + 102*u**2/5 - 520*u - 510 = 0. What is u?
-5, -51/52, 5
Let -i**4/5 + 974*i**3 + 36291*i**2 + 102052*i + 333676/5 = 0. What is i?
-34, -2, -1, 4907
Determine s, given that 8*s**5/17 + 346*s**