Factor 3*j**3/4 + 915*j**2/4 + 7761*j/4 - 11048679/4.
3*(j - 93)*(j + 199)**2/4
Determine r, given that -3*r**5 - 8757*r**4 + 238335*r**3 - 856935*r**2 + 1033908*r - 406548 = 0.
-2946, 1, 2, 23
Determine c, given that -c**5/4 + 43*c**4/2 - 377*c**3/2 - 1365*c**2 + 9675*c/4 + 16875/2 = 0.
-5, -2, 3, 15, 75
Factor -2*w**2 + 50716*w - 321514082.
-2*(w - 12679)**2
Determine b so that b**5/4 - 10*b**4 - 625*b**3 + 10865*b**2/2 - 35805*b/4 + 8307/2 = 0.
-39, 1, 6, 71
Factor 4*p**3 - 7850*p**2/9 + 436*p/9.
2*p*(p - 218)*(18*p - 1)/9
Suppose 3*k**2 + 31950*k + 95823 = 0. What is k?
-10647, -3
Factor -d**2/4 + 79*d/2 + 10143/4.
-(d - 207)*(d + 49)/4
Determine k so that k**5 + 192*k**4 - 196*k**3 - 574*k**2 + 963*k - 386 = 0.
-193, -2, 1
Factor 5*f**2/3 - 515*f - 7850/3.
5*(f - 314)*(f + 5)/3
Solve -k**2/7 + 763*k + 16032/7 = 0.
-3, 5344
Let -3*k**2 + 3457404*k - 996136868268 = 0. What is k?
576234
Factor d**3 + 1239*d**2 - 75226*d.
d*(d - 58)*(d + 1297)
Factor -h**4 - 2269*h**3 - 27095*h**2 - 24827*h.
-h*(h + 1)*(h + 11)*(h + 2257)
Find t such that 245*t**5 - 188965*t**4 - 324550*t**3 - 85090*t**2 + 46385*t - 3865 = 0.
-1, 1/7, 773
Factor t**2/4 + 3087*t/2 + 6173/4.
(t + 1)*(t + 6173)/4
Find x, given that 2*x**5/3 - 1228*x**4/3 + 184730*x**3/3 + 1171816*x**2/3 - 2892920*x/3 + 1537600/3 = 0.
-8, 1, 310
Factor -s**4/3 - 146*s**3/3 - 2444*s**2 - 155480*s/3 - 1195168/3.
-(s + 26)**3*(s + 68)/3
Suppose -2*i**2 - 46190*i + 693300 = 0. What is i?
-23110, 15
Factor -3*v**2 + 5085*v.
-3*v*(v - 1695)
Factor 2*c**2 - 810780*c.
2*c*(c - 405390)
Factor -8*q**4/9 + 94*q**3/3 + 24*q**2.
-2*q**2*(q - 36)*(4*q + 3)/9
Factor -2*s**3/13 + 43772*s**2/13 + 87550*s/13 + 43776/13.
-2*(s - 21888)*(s + 1)**2/13
Suppose -2*l**5/5 + 1548*l**4/5 - 280264*l**3/5 - 1501860*l**2 - 26331606*l/5 - 3820824 = 0. What is l?
-20, -3, -1, 399
Solve c**3/4 - 23*c**2/2 + 163*c/4 + 105/2 = 0 for c.
-1, 5, 42
What is z in -2*z**3/7 - 264*z**2/7 - 4518*z/7 - 608 = 0?
-112, -19, -1
Factor -4*q**3 - 4952*q**2.
-4*q**2*(q + 1238)
Factor r**4/3 + 16100*r**3/3 + 64770292*r**2/3 - 86424800*r + 86446272.
(r - 2)**2*(r + 8052)**2/3
Factor 2*g**3/7 - 122*g**2/7 + 80*g.
2*g*(g - 56)*(g - 5)/7
Suppose 2233224049*y**2/2 + 708855*y + 225/2 = 0. What is y?
-15/47257
Factor 2*j**2 - 67960*j + 577320200.
2*(j - 16990)**2
Suppose -3*x**2 + 2037*x/5 + 38964/5 = 0. What is x?
-17, 764/5
Suppose 55*l**3 + 266095*l**2 + 290220*l = 0. Calculate l.
-4837, -12/11, 0
Determine y, given that 2*y**4/5 - 20*y**3 - 2382*y**2/5 + 108944*y/5 + 840224/5 = 0.
-31, -7, 44
Factor -5*g**3 - 1480*g**2 + 10555*g - 15150.
-5*(g - 5)*(g - 2)*(g + 303)
Let -2*r**2/21 + 278248*r/21 - 9677743688/21 = 0. What is r?
69562
Solve -3*z**5/4 - 303*z**4/2 - 13365*z**3/2 + 98400*z**2 - 984507*z/4 + 309123/2 = 0 for z.
-107, 1, 2, 9
Suppose -2*q**4/7 - 508*q**3/7 - 16448*q**2/7 - 85188*q/7 - 17298 = 0. What is q?
-217, -31, -3
Factor 2*q**3 - 30208*q**2 + 90610*q - 60404.
2*(q - 15101)*(q - 2)*(q - 1)
Solve g**2/8 + 47*g/2 + 1809/2 = 0 for g.
-134, -54
Factor -u**2 + 26935*u - 80796.
-(u - 26932)*(u - 3)
Find n such that -2*n**2/7 - 444*n/7 - 1744/7 = 0.
-218, -4
Factor 5*l**4 + 785*l**3 + 7950*l**2 - 13280*l - 233600.
5*(l - 5)*(l + 8)**2*(l + 146)
Solve 3*v**4 - 6324*v**3 + 3357900*v**2 - 26460000*v = 0.
0, 8, 1050
Factor -2*t**3/7 + 884*t**2/7 + 890*t/7 - 1772/7.
-2*(t - 443)*(t - 1)*(t + 2)/7
Factor 35*y**3/3 + 167*y**2/3 - 250*y/3 + 16.
(y - 1)*(y + 6)*(35*y - 8)/3
Factor -3*n**2/2 - 4083*n/2 + 22638.
-3*(n - 11)*(n + 1372)/2
Factor 3*c**5 + 25956*c**4 - 51921*c**3 + 25962*c**2.
3*c**2*(c - 1)**2*(c + 8654)
Solve 5*b**3/4 + 135*b**2/4 + 715*b/4 - 855/4 = 0.
-19, -9, 1
Solve -2*h**5/19 - 4380*h**4/19 - 4374*h**3/19 + 8756*h**2/19 = 0 for h.
-2189, -2, 0, 1
Suppose -s**2/2 + 144406*s - 10426546418 = 0. What is s?
144406
What is u in 2*u**3 - 138084*u**2 - 2*u + 138084 = 0?
-1, 1, 69042
What is d in 3*d**2/7 - 117*d + 1626/7 = 0?
2, 271
Factor -2*q**5/7 + 1178*q**4/7 + 1020*q**3.
-2*q**3*(q - 595)*(q + 6)/7
Factor 2*v**2 - 24634*v + 442764.
2*(v - 12299)*(v - 18)
Find o such that -6*o**3 + 159*o**2/2 - 39*o/2 = 0.
0, 1/4, 13
Factor -3*x**4 + 125133*x**3 - 1739890935*x**2 + 8065554077343*x - 16124149591962.
-3*(x - 13903)**3*(x - 2)
Factor 2*v**3/3 + 1208*v**2/3 + 1602*v + 1200.
2*(v + 1)*(v + 3)*(v + 600)/3
Find c such that 2*c**2 - 1866248*c + 435360199688 = 0.
466562
Find b, given that 2*b**3/7 - 9294*b**2/7 + 83520*b/7 - 166968/7 = 0.
3, 6, 4638
Find z such that -42*z**4/11 + 232*z**3/11 + 590*z**2/11 + 316*z/11 = 0.
-1, 0, 158/21
Determine i, given that -8*i**3/3 - 7487*i**2 + 98408*i/3 - 11248 = 0.
-2812, 3/8, 4
Find j such that -2*j**2/9 - 2840*j/9 - 351542/9 = 0.
-1283, -137
Find v such that -v**3 + 177*v**2 - 2144*v + 1968 = 0.
1, 12, 164
Factor t**2/10 + 10429*t/2 + 104282/5.
(t + 4)*(t + 52141)/10
Find l such that -5*l**3 + 1760*l**2 + 14320*l + 28800 = 0.
-4, 360
Let 4*h**2 + 10631*h - 10635 = 0. What is h?
-10635/4, 1
Factor 3*w**3 - 115500*w**2 - 231012*w.
3*w*(w - 38502)*(w + 2)
Factor 5*n**4 + 490*n**3 + 4505*n**2 + 9240*n.
5*n*(n + 3)*(n + 7)*(n + 88)
Factor f**2/5 - 114106*f/5 + 3255044809/5.
(f - 57053)**2/5
Let -20*n**2 + 3585012*n + 1434008 = 0. Calculate n.
-2/5, 179251
Factor 2*w**2/3 + 1174*w/3 + 780.
2*(w + 2)*(w + 585)/3
Find b, given that 4*b**5 + 1648*b**4 + 3268*b**3 - 4920*b**2 = 0.
-410, -3, 0, 1
Find n such that 2*n**3 + 932*n**2 + 108578*n = 0.
-233, 0
Factor b**3/6 + 13*b**2/6 + 10*b/3 - 50/3.
(b - 2)*(b + 5)*(b + 10)/6
Determine v, given that -2*v**4/17 - 18*v**3/17 - 36*v**2/17 = 0.
-6, -3, 0
Find j, given that 4*j**4/7 + 1378*j**3/7 + 16806*j**2 - 178882*j/7 + 59858/7 = 0.
-173, 1/2, 1
What is m in -4*m**3 + 484*m**2 - 10896*m - 23760 = 0?
-2, 33, 90
Factor -3*c**2/4 - 4758*c + 57123/4.
-3*(c - 3)*(c + 6347)/4
Suppose -5*s**2 + 25895*s + 51810 = 0. Calculate s.
-2, 5181
Find k, given that 3*k**2/7 + 720*k/7 - 723/7 = 0.
-241, 1
Solve -2*f**4 - 5686*f**3 - 4038476*f**2 + 4055544*f + 8088336 = 0 for f.
-1422, -1, 2
What is w in 5*w**5/3 + 45*w**4 + 295*w**3/3 - 545*w**2 - 600*w = 0?
-24, -5, -1, 0, 3
Factor -5*q**2 + 19295*q + 310000.
-5*(q - 3875)*(q + 16)
Factor -165*q**2/2 - 142581*q/4 - 28503/4.
-3*(5*q + 1)*(22*q + 9501)/4
Let -k**3 + 105*k**2 + 213*k + 107 = 0. Calculate k.
-1, 107
Find u such that -3*u**4 + 11022*u**3 = 0.
0, 3674
Solve 3*a**2 + 33*a - 630 = 0.
-21, 10
Solve 3*y**2 - 13743*y - 55020 = 0 for y.
-4, 4585
Suppose 3*f**5 - 1881*f**4 + 3753*f**3 - 1875*f**2 = 0. What is f?
0, 1, 625
Suppose 3*p**4 - 26997*p**3 - 135036*p**2 - 216084*p - 108048 = 0. Calculate p.
-2, -1, 9004
Factor 7795*n**3 - 436535*n**2 + 6112120*n - 11760.
5*(n - 28)**2*(1559*n - 3)
Find c such that 142*c**2 + 125*c - 17 = 0.
-1, 17/142
Find k, given that -2*k**3 - 628*k**2 - 52850*k - 547224 = 0.
-151, -12
Solve h**3/5 - 19742*h**2/5 + 39481*h/5 - 3948 = 0 for h.
1, 19740
Find j such that 2*j**2/17 - 44*j/17 + 224/17 = 0.
8, 14
Determine h, given that 140*h**5 + 684*h**4 - 96*h**3 - 80*h**2 = 0.
-5, -2/7, 0, 2/5
Factor 5*j**4/2 + 70*j**3 + 430*j**2 + 600*j.
5*j*(j + 2)*(j + 6)*(j + 20)/2
Find i, given that -5*i**3 + 50108*i**2 - 80156*i - 40080 = 0.
-2/5, 2, 10020
Factor -b**2/6 + 47827*b/6.
-b*(b - 47827)/6
Determine h so that h**4/2 - 144*h**3 + 1393*h**2/2 + 3105*h + 2264 = 0.
-2, -1, 8, 283
What is p in -4*p**5 - 156*p**4 - 608*p**3 + 19200*p**2 - 18432*p = 0?
-24, 0, 1, 8
Factor -2*h**4 - 108*h**3 + 338*h**2 - 228*h.
-2*h*(h - 2)*(h - 1)*(h + 57)
Factor -2*r**2 - 11746*r - 23484.
-2*(r + 2)*(r + 5871)
Find b such that 2*b**3/5 + 1216*b**2/5 - 49726*b/5 - 81396 = 0.
-646, -7, 45
Factor 2*g**2/11 + 2860524*g/11 + 1022824694322/11.
2*(g + 715131)**2/11
Let 2*a**5 + 608*a**4 + 44946*a**3 - 196516*a**2 - 525448*a - 284592 = 0. Calculate a.
-154, -1, 6
Factor i**4/5 + 34*i**3 - 12043*i**2/5 + 11872*i/5.
i*(i - 53)*(i - 1)*(i + 224)/5
Factor -2*b**3/19 - 2562*b**2/19 - 821760*b/19 - 819200/19.
-2*(b + 1)*(b + 640)**2/19
Determine f, given that -2*f**3 - 704*f**2 - 36062*f - 162960 = 0.
-291, -56, -5
Factor m**2 + 708*m - 10845.
(m - 15)*(m + 723)
Suppose -5*g**5 - 8830*g**4 - 3790550*g**3 + 95720360*g**2 - 180033725*g + 88112750 = 0. What is g?
-895, 1, 22
Solve 125*b**4 - 4800*b**3 - 320760*b**2 - 4809024*b - 22424688