*a - 865096/3.
-2*(a + 68)*(a + 6361)/3
Factor 5*p**2 + 13718*p + 601877.
(p + 2699)*(5*p + 223)
Determine g so that 2*g**4/13 - 24096*g**3/13 + 649236*g**2/13 - 1226192*g/13 + 601050/13 = 0.
1, 25, 12021
Factor -s**2/2 - 274355414*s - 37635446595555698.
-(s + 274355414)**2/2
Suppose 2*z**4 + 10289828*z**3 - 30869496*z**2 + 30869500*z - 10289834 = 0. Calculate z.
-5144917, 1
Factor -k**2/3 - 786714*k - 464189188347.
-(k + 1180071)**2/3
Factor -20*h**2 - 2034098*h + 203410.
-2*(h + 101705)*(10*h - 1)
Factor n**3/2 - 5285*n**2/2 - 3877625*n/2 - 668299875/2.
(n - 5955)*(n + 335)**2/2
Let -32*k**4/5 + 46014*k**3/5 - 15278564*k**2/5 - 184903338*k - 11544520 = 0. What is k?
-52, -1/16, 745
Factor o**2 + 940889*o - 111979952.
(o - 119)*(o + 941008)
Solve 2*t**4 - 68300*t**3 + 1433194*t**2 + 7645496*t - 20477400 = 0.
-6, 2, 25, 34129
Solve -4*h**4 - 5333484*h**3 + 4*h**2 + 5333484*h = 0 for h.
-1333371, -1, 0, 1
Factor -3*l**2 - 30348762*l - 76753946244387.
-3*(l + 5058127)**2
Determine u so that -2*u**5 + 14008*u**4 - 24667594*u**3 + 488502932*u**2 - 1293045696*u + 829196352 = 0.
1, 2, 17, 3492
Let 33*l**3 - 10319712*l**2 - 15010560*l = 0. What is l?
-16/11, 0, 312720
Factor m**2/3 + 50873690*m + 1941099250662075.
(m + 76310535)**2/3
Solve -5*o**5 - 2520*o**4 + 156305*o**3 - 279720*o**2 - 1406340*o + 2721600 = 0 for o.
-560, -3, 2, 3, 54
Determine a, given that a**5/6 + 467*a**4/6 + 47725*a**3/6 - 540045*a**2/2 + 584649*a + 4392648 = 0.
-247, -3, 6, 24
Factor l**2/8 + 67295*l/4 - 33648.
(l - 2)*(l + 134592)/8
Let 15*j**2 - 7106004*j - 21318147 = 0. What is j?
-3, 2368683/5
Determine c, given that -2*c**2/9 - 152186*c/9 - 8503600/3 = 0.
-75925, -168
What is p in -p**4/2 + 365*p**3 - 9134*p**2 - 14292*p + 1140480 = 0?
-10, 18, 704
Solve 7*o**2 - 12777666*o + 40817187101889/7 = 0 for o.
6388833/7
Determine q so that 2*q**5/5 + 685574*q**4/5 - 1371186*q**3/5 - 10283606*q**2/5 + 21938464*q/5 - 10969248/5 = 0.
-342789, -4, 1, 4
Let 2*u**2/3 + 5679658*u = 0. Calculate u.
-8519487, 0
Factor 2*m**4 - 20576*m**3 + 41090864*m**2 + 60856647552*m + 17495410706208.
2*(m - 5666)**2*(m + 522)**2
What is t in t**3/2 + 30114115*t**2/6 - 55209233*t/3 - 6692028 = 0?
-10038042, -1/3, 4
Find w, given that 3*w**3 + 41652*w**2 + 1993245*w + 11912796 = 0.
-13836, -41, -7
Factor 45*j**2 + 2555*j - 914940.
5*(j - 117)*(9*j + 1564)
Solve 7*m**2 + 38684*m/5 + 48576/5 = 0.
-1104, -44/35
Suppose 2*n**2/9 - 664*n/9 - 110110/3 = 0. What is n?
-273, 605
Factor -4*n**3 - 6208*n**2 + 556076*n - 12114648.
-4*(n - 43)**2*(n + 1638)
Find i such that -2*i**3/5 + 6014*i**2/5 + 139228*i/5 + 92112 = 0.
-19, -4, 3030
Let -4*a**3/5 + 792*a**2 + 1717824*a/5 + 13515392 = 0. Calculate a.
-290, -44, 1324
Determine d, given that -d**2/5 - 65230946*d/5 - 1063769079013729/5 = 0.
-32615473
Factor 4*v**2 + 777584*v - 47447508.
4*(v - 61)*(v + 194457)
Factor -3*m**3 + 327*m**2 + 936*m - 136080.
-3*(m - 108)*(m - 21)*(m + 20)
What is h in 865*h**3/2 - 5544813*h**2/2 + 522414*h + 6410 = 0?
-2/173, 1/5, 6410
Find j such that -2*j**3/7 - 2693328*j**2/7 + 5386662*j/7 - 2693332/7 = 0.
-1346666, 1
Determine c, given that 2*c**4 - 58466*c**3 - 643304*c**2 - 1871560*c - 1637664 = 0.
-7, -2, 29244
Determine n, given that n**2 + 35045458*n + 307046031607441 = 0.
-17522729
Factor 4*c**2/7 + 57237220*c/7.
4*c*(c + 14309305)/7
Factor 3*y**2 + 1208337*y - 7250130.
3*(y - 6)*(y + 402785)
Solve 111*k**3 + 900208*k**2/5 + 24767516*k/5 - 89264/5 = 0 for k.
-1594, -28, 2/555
Factor -2*m**2/5 - 270632*m/5 + 21121464/5.
-2*(m - 78)*(m + 135394)/5
Suppose 2*i**3 - 755822*i**2 - 40820220*i = 0. Calculate i.
-54, 0, 377965
Factor -2*s**2/13 + 283906*s/13 - 1419480/13.
-2*(s - 141948)*(s - 5)/13
Solve 2*v**4 - 19592*v**3/3 + 1349636*v**2/3 - 1433624*v + 428130 = 0.
1/3, 3, 67, 3195
Find z, given that -2*z**4/3 - 17852*z**3 - 535088*z**2 - 10270208*z/3 + 9129984 = 0.
-26748, -16, 2
What is c in -4*c**2 - 48928*c - 17325820 = 0?
-11867, -365
Determine p so that -p**5 - 12976*p**4 + 207836*p**3 - 467856*p**2 - 1870848*p = 0.
-12992, -2, 0, 6, 12
Let -80*b**3 + 61020*b**2 - 35563725*b/4 - 2205404955/2 = 0. What is b?
-78, 3363/8
Factor -3*z**3 - 136722*z**2 + 546951*z + 683670.
-3*(z - 5)*(z + 1)*(z + 45578)
Find c, given that c**4 - 2545*c**3 + 270284*c**2 - 267740*c = 0.
0, 1, 110, 2434
Solve 2*a**5/15 + 188*a**4/15 - 1176*a**3/5 - 55652*a**2/15 - 26002*a/3 + 12600 = 0 for a.
-108, -7, -5, 1, 25
Suppose -l**2/3 + 3638*l + 1413376/3 = 0. What is l?
-128, 11042
Factor -692*i**2/5 + 36614*i/5 + 3286/5.
-2*(i - 53)*(346*i + 31)/5
Factor 2*h**2 - 1170430*h.
2*h*(h - 585215)
What is x in 5*x**2 + 235629635*x - 471259290 = 0?
-47125929, 2
Suppose -12*h**3/7 - 49829*h**2 + 253341*h - 145360/7 = 0. Calculate h.
-29072, 1/12, 5
Determine s so that -60*s**5 + 34784*s**4 - 5001560*s**3 - 11602704*s**2 + 12504852*s + 4064688 = 0.
-3, -4/15, 1, 291
Determine w so that 86*w**4 - 437812*w**3 + 3425830*w**2 + 569296*w = 0.
-7/43, 0, 8, 5083
Suppose 5*r**2 + 515228410*r + 13273015723556405 = 0. What is r?
-51522841
Suppose 13*d**4/3 - 1347140*d**3/3 + 11633279283*d**2 - 1789724646*d = 0. Calculate d.
0, 2/13, 51813
Factor 5*z**2 + 950450*z + 109235625.
5*(z + 115)*(z + 189975)
Find b such that -b**5 + 2936156*b**4 - 2155250077920*b**3 - 4310526581266*b**2 + 10776262134257*b + 12931535701446 = 0.
-3, -1, 2, 1468079
Factor -5*c**2/4 - 779195*c/4 + 194800.
-5*(c - 1)*(c + 155840)/4
Factor -u**3/5 + 43*u**2 + 3525*u - 61875.
-(u - 275)*(u - 15)*(u + 75)/5
Factor -2*a**3 - 322770*a**2 - 1291056*a - 1291048.
-2*(a + 2)**2*(a + 161381)
Find f such that -2*f**2 + 161432876*f - 3257571681703922 = 0.
40358219
Solve 8*d**2/11 + 2667974*d/11 - 666994/11 = 0.
-333497, 1/4
Let c**4/8 + 10551*c**3/8 + 28987*c**2/2 + 21075*c/2 - 26350 = 0. Calculate c.
-10540, -10, -2, 1
What is x in 2*x**2/11 + 593071872*x/11 + 43966780669698048/11 = 0?
-148267968
Find l, given that -l**2/10 - 909917*l/10 + 5459862 = 0.
-909977, 60
Determine t, given that 22*t**4/3 + 1335964*t**3/3 + 9013641096*t**2 + 182402489407076*t/3 - 613841639379118/3 = 0.
-20243, 37/11
Determine a, given that -a**3/3 + 4597406*a**2/3 - 9194809*a/3 + 1532468 = 0.
1, 4597404
Suppose -d**3/4 + 535827*d**2/4 - 71772552855*d/4 - 1363871944651/4 = 0. Calculate d.
-19, 267923
Determine i so that i**2/7 + 2216*i/7 + 137728/7 = 0.
-2152, -64
Determine p so that 2*p**3/7 - 2191508*p**2 + 29416612979730*p/7 - 117666206470152/7 = 0.
4, 3835137
Suppose 3*a**4 - 7614*a**3 - 388509*a**2 + 799848*a - 403728 = 0. What is a?
-52, 1, 2588
Find c such that -4*c**4 + 4172056*c**3 - 1087861515808*c**2 - 8703129935256*c - 7615264247388 = 0.
-7, -1, 521511
Factor 3*c**2 + 297603*c + 91968630.
3*(c + 310)*(c + 98891)
Find u, given that -4*u**3/5 - 66777836*u**2/5 + 4*u/5 + 66777836/5 = 0.
-16694459, -1, 1
Factor -s**2 + 668435*s + 668436.
-(s - 668436)*(s + 1)
Solve -78*b**2 + 5570605*b - 71418 = 0.
1/78, 71418
Find d, given that -2*d**3/7 + 93878852*d**2/7 - 1101654762725880*d/7 - 2203309900967184/7 = 0.
-2, 23469714
Factor -2*u**2/5 - 16291488*u/5 - 33176572656768/5.
-2*(u + 4072872)**2/5
Determine z so that -z**4/5 - 4937*z**3/5 - 176141*z**2/5 + 1445537*z/5 - 1264458/5 = 0.
-4901, -43, 1, 6
Find f such that 2*f**2 - 185126*f + 925580 = 0.
5, 92558
Solve -3*h**3 + 301560*h**2 + 1809453*h + 1507890 = 0 for h.
-5, -1, 100526
Factor 2*a**2 + 27834*a + 20172100.
2*(a + 767)*(a + 13150)
Suppose 2*c**3/7 - 32204*c**2/7 + 3013922*c/7 - 70723344/7 = 0. Calculate c.
47, 16008
Factor 3*b**2 + 3697974*b + 51771048.
3*(b + 14)*(b + 1232644)
Factor t**2/4 - 24*t - 17920.
(t - 320)*(t + 224)/4
What is f in -45*f**4 + 2121765*f**3 - 2828960*f**2 + 942980*f = 0?
0, 2/3, 47149
Suppose -8*m**3/21 + 1133368*m**2/3 - 7933570*m/21 + 1983392/21 = 0. Calculate m.
1/2, 991696
Solve y**3 + 9188*y**2 + 165141*y + 742770 = 0.
-9170, -9
Find r such that 2*r**5 - 220016*r**4 - 16729732*r**3 - 334209400*r**2 - 619109678*r - 301409992 = 0.
-37, -1, 110084
Determine k so that k**4/3 + 53*k**3 - 81193*k**2/3 + 588747*k + 615864 = 0.
-383, -1, 24, 201
Solve -2*v**5/11 - 1890*v**4/11 + 114*v**3/11 + 9758*v**2 - 370080*v/11 + 340200/11 = 0 for v.
-945, -9, 2, 5
Solve 2*w**5/7 + 20810*w**4/7 + 1241634*w**3/7 + 2420846*w**2/7 + 1200020*w/7 = 0.
-10345, -58, -1,