.
(k + 9)**2*(k + 635821)/2
Factor 8498*r**2/3 - 5200772*r/3 - 816.
2*(r - 612)*(4249*r + 2)/3
Find f, given that f**2/2 + 98295*f/2 + 29259952 = 0.
-97696, -599
Factor 5263380*t**3 + 3343012*t**2 + 536736*t + 1872.
4*(19*t + 6)**2*(3645*t + 13)
Factor 3*p**4 + 2021610*p**3 + 340989760575*p**2 + 139551030736500*p + 14295277737367500.
3*(p + 205)**2*(p + 336730)**2
Solve 2*l**5/15 + 2186*l**4/15 + 127014*l**3/5 + 751174*l**2/15 - 381044*l/15 - 50224 = 0.
-876, -215, -2, -1, 1
Determine q so that -2170*q**2 - 206118*q + 3040 = 0.
-95, 16/1085
Suppose -v**2/5 - 12081*v/5 - 517634/5 = 0. Calculate v.
-12038, -43
Factor -p**3/10 - 1378*p**2/5 - 1746437*p/10 - 160845179/5.
-(p + 407)**2*(p + 1942)/10
Factor -4*k**4 + 1256*k**3 - 48420*k**2.
-4*k**2*(k - 269)*(k - 45)
Find h, given that 3*h**2/5 - 124044*h/5 + 237432096/5 = 0.
2012, 39336
Factor 4*t**2 - 4138556*t + 4138552.
4*(t - 1034638)*(t - 1)
Factor v**3 - 4731*v**2 + 1300626*v - 1295896.
(v - 4438)*(v - 292)*(v - 1)
Find r such that -r**5/3 + 4*r**4 + 115*r**3 - 416*r**2/3 - 700*r = 0.
-14, -2, 0, 3, 25
Let -3*j**3/7 - 21358230*j**2/7 - 38014477702836*j/7 + 76029040838616/7 = 0. What is j?
-3559706, 2
Let 3*r**5/4 + 234453*r**4 + 2813367*r**3 + 12191160*r**2 + 22506672*r + 15004416 = 0. What is r?
-312592, -4, -2
Factor -2*q**2/11 + 280445064*q/11 - 9831179240245512/11.
-2*(q - 70111266)**2/11
Let -4*w**5 + 5772*w**4 - 270280*w**3 - 4122432*w**2 + 25798784*w - 21411840 = 0. Calculate w.
-16, 1, 4, 60, 1394
Determine i so that 429*i**2 - 973821*i/7 + 224568/7 = 0.
3/13, 24952/77
Find o such that 799*o**3/4 + 18363*o**2/4 + 23809*o/2 - 210 = 0.
-20, -3, 14/799
Find o, given that -o**4 + 112*o**3 - 3737*o**2 + 44810*o - 144000 = 0.
5, 18, 25, 64
Factor -3*f**3/5 - 14349*f**2/5 - 7160466*f/5.
-3*f*(f + 566)*(f + 4217)/5
Factor -103*v**4/2 + 24927*v**3/2 - 1508265*v**2/2 + 14641*v/2.
-v*(v - 121)**2*(103*v - 1)/2
Determine z, given that -2*z**3/23 - 866*z**2 - 596062*z/23 - 139006 = 0.
-9929, -23, -7
What is l in -4*l**4/7 - 152*l**3 + 25516*l**2/7 + 47696*l/7 - 529920/7 = 0?
-288, -5, 4, 23
Let 2*f**3/17 + 9597372*f**2/17 - 19194750*f/17 + 9597376/17 = 0. What is f?
-4798688, 1
Solve -m**4 + 4312246*m**3 - 4648909513389*m**2 + 92976896597980*m - 464882326876900 = 0.
10, 2156113
Solve k**4/3 - 2104*k**3/3 - 3*k**2 + 6312*k = 0.
-3, 0, 3, 2104
Factor 3*x**3 - 8640*x**2 + 393153*x + 17847900.
3*(x - 2833)*(x - 75)*(x + 28)
Find c, given that 3*c**4 + 2118819*c**3 - 82637307*c**2 + 845454381*c - 764935896 = 0.
-706312, 1, 19
Suppose 12*q**2/5 + 1780203*q/5 + 89010 = 0. Calculate q.
-148350, -1/4
Solve -o**5/3 - 71*o**4/3 - 805*o**3/3 + 9967*o**2/3 + 107510*o/3 - 116600/3 = 0 for o.
-53, -20, -10, 1, 11
Factor -2*r**2 - 643608*r - 1287208.
-2*(r + 2)*(r + 321802)
Factor -u**2/2 + 3617*u/2 + 10206075.
-(u - 6675)*(u + 3058)/2
Let 2*o**3/9 + 8146*o**2/9 + 467422*o/9 + 6753230/9 = 0. Calculate o.
-4015, -29
Let 5*v**4 - 28230*v**3 + 562785*v**2 - 1040900*v + 506340 = 0. What is v?
1, 18, 5626
Find w such that 2*w**4/11 - 84*w**3/11 + 952*w**2/11 - 1164*w/11 - 14490/11 = 0.
-3, 7, 15, 23
Find n such that 2*n**2/15 - 8114*n/15 - 29832/5 = 0.
-11, 4068
Determine l, given that 5*l**5 - 1930*l**4 - 475415*l**3 - 461840*l**2 + 2840700*l = 0.
-170, -3, 0, 2, 557
Factor -2*n**2 - 512838*n.
-2*n*(n + 256419)
Factor q**2 - 49556410*q.
q*(q - 49556410)
Factor -2*g**2/13 + 260185332*g/13 - 8462050873493778/13.
-2*(g - 65046333)**2/13
Find v, given that 2371842*v**4 - 6325550154*v**3/5 + 2447061898*v**2/5 + 32243106*v/5 + 104468/5 = 0.
-7/1089, 2/5, 533
Solve 4*z**4/7 + 30092*z**3/7 + 3465060*z**2/7 - 1002916*z + 503608 = 0.
-7406, -119, 1
What is w in -w**2 - 9651*w - 77144 = 0?
-9643, -8
Determine g, given that 22*g**3/9 - 144218614*g**2/9 - 65553932*g/9 + 26221568/3 = 0.
-1, 6/11, 6555392
Factor -j**3 + 3095*j**2 - 447375*j + 16565625.
-(j - 2945)*(j - 75)**2
Factor -2*t**2/7 - 24497624*t - 525116883939704.
-2*(t + 42870842)**2/7
Let 2*y**2/3 - 122530*y/3 + 490088/3 = 0. What is y?
4, 61261
Determine l, given that 55*l**3 - 75230*l**2 + 7723280*l + 1406720 = 0.
-2/11, 112, 1256
Determine f so that 2*f**2/25 + 9306*f/25 + 1857592/25 = 0.
-4444, -209
Solve -14*g**2 - 2520264*g + 360038 = 0.
-180019, 1/7
Factor g**2/5 + 10512*g/5 - 771557.
(g - 355)*(g + 10867)/5
Solve n**4/9 - 15557*n**3/9 + 9363457*n**2 - 19541311311*n + 10245299773170 = 0 for n.
770, 4929
Find j such that -5*j**5/2 + 96910*j**4 + 2618400*j**3 - 290735*j**2 - 15322715*j/2 + 5236785 = 0.
-27, -2, 1, 38791
Let 15*r**3/2 - 124135*r**2/2 + 109726510*r + 36582400 = 0. What is r?
-1/3, 2560, 5716
Find g such that 2*g**4/7 - 302*g**3 - 39788*g**2 - 1611664*g/7 - 303744 = 0.
-113, -4, -2, 1176
Let -2*y**2 + 1162274*y - 1162272 = 0. What is y?
1, 581136
Suppose 5*y**2 - 541380*y + 22729140 = 0. Calculate y.
42, 108234
Factor 4*d**3/7 + 94396*d**2/7 + 556959996*d/7 + 556865604/7.
4*(d + 1)*(d + 11799)**2/7
Find o, given that o**5 + 121292*o**4 + 727727*o**3 + 1334152*o**2 + 727716*o = 0.
-121286, -3, -2, -1, 0
Let -2*z**4/15 - 2906*z**3/15 - 101246*z**2/5 - 2594298*z/5 + 8720316/5 = 0. What is z?
-1342, -57, 3
Suppose u**5/5 - 22*u**4/5 + 26*u**3 + 4*u**2 - 1211*u/5 - 1078/5 = 0. What is u?
-2, -1, 7, 11
Factor -2*i**2 - 580735112*i - 42156658788706568.
-2*(i + 145183778)**2
Let 669*m**4 - 3350*m**3 + 1363*m**2 + 5342*m - 40 = 0. What is m?
-1, 5/669, 2, 4
Factor -13*z**2 + 23535*z + 7443450.
-(z - 2085)*(13*z + 3570)
Factor b**2/2 + 3369*b/2 + 398464.
(b + 256)*(b + 3113)/2
Suppose -k**2 + 164194*k + 1970472 = 0. What is k?
-12, 164206
Factor -2286387*b**2 - 2835504*b - 2637376/3.
-(2619*b + 1624)**2/3
Factor -j**3 + 2900921*j**2 - 2103840013435*j + 6311493932043.
-(j - 1450459)**2*(j - 3)
Factor -4*q**2 - 4855464*q + 140811820.
-4*(q - 29)*(q + 1213895)
Let 7*z**5 - 624318*z**4 + 2051282*z**3 - 2408008*z**2 + 1159407*z - 178370 = 0. Calculate z.
2/7, 1, 89185
Find i, given that 2*i**2/9 + 39256376*i/3 + 192632882081672 = 0.
-29442282
Suppose -3*l**3 - 5592*l**2 - 77739*l - 72150 = 0. Calculate l.
-1850, -13, -1
Let -4*u**2 + 28804*u + 8130624 = 0. Calculate u.
-272, 7473
Suppose -4*z**4 + 7664*z**3 - 932340*z**2 + 30220344*z - 56772576 = 0. Calculate z.
2, 63, 1788
Factor 2*r**2/7 + 17870*r/7 + 321012/7.
2*(r + 18)*(r + 8917)/7
Find o, given that o**3/4 - 133191*o**2/2 + 4435160400*o - 26608565016 = 0.
6, 133188
Factor -3*u**2/2 - 17621*u/2 + 38207.
-(u + 5878)*(3*u - 13)/2
Let -5*j**4 - 2576*j**3 + 341844*j**2 - 10539200*j + 19731712 = 0. Calculate j.
-3146/5, 2, 56
Factor -4*r**2 - 4154164*r - 4154160.
-4*(r + 1)*(r + 1038540)
Factor f**4 + 155726*f**3 + 3737040*f**2 + 29895296*f + 79719424.
(f + 8)**3*(f + 155702)
Find a such that -3*a**5 - 6366*a**4 + 291294*a**3 - 2709132*a**2 + 3877797*a + 21024234 = 0.
-2167, -2, 7, 33
What is k in -4*k**3 - 45760*k**2 + 274704*k = 0?
-11446, 0, 6
Suppose 3*l**4/7 - 831*l**3/7 - 10407*l**2/7 + 831*l/7 + 10404/7 = 0. What is l?
-12, -1, 1, 289
Factor -t**2/2 + 1952961*t/2 - 5858865.
-(t - 1952955)*(t - 6)/2
Factor u**2/2 + 10095*u/2 + 1526148.
(u + 312)*(u + 9783)/2
Find j such that -3*j**4 + 384300*j**3 - 12307976073*j**2 + 49226908512*j - 36919316736 = 0.
1, 3, 64048
Factor 2*j**3 + 74*j**2 - 21852*j + 128016.
2*(j - 84)*(j - 6)*(j + 127)
Factor 2*h**2/7 - 1765354*h/7.
2*h*(h - 882677)/7
Factor n**4/2 + 2215*n**3/2 + 763623*n**2 + 118941418*n - 31322870804.
(n - 131)*(n + 782)**3/2
Solve -3*g**5/7 + 339*g**4 - 45699*g**3/7 - 444669*g**2/7 + 1336914*g = 0.
-14, 0, 17, 771
Solve -5*s**2 - 4623180*s - 1068689665620 = 0.
-462318
Let -3*f**2/2 - 120609*f/8 + 362043/4 = 0. What is f?
-40227/4, 6
Find p such that -p**2/8 - 6904667*p/8 = 0.
-6904667, 0
Factor -a**2/4 + 328981*a/2 + 28294215/4.
-(a - 658005)*(a + 43)/4
Solve -2*o**5/9 - 1754*o**4/9 + 75892*o**3/3 + 1708316*o**2/9 - 4092634*o/9 + 239822 = 0 for o.
-991, -9, 1, 121
Factor -8672*p**3 - 156060*p**2 - 701784*p + 2916.
-4*(p + 9)**2*(2168*p - 9)
Factor -4*y**3 - 17544*y**2 + 1135104*y - 18227200.
-4*(y - 32)**2*(y + 4450)
Determine x so that -4*x**3/9 + 4595116*x**2/9 - 9190196*x/3 + 4595092 = 0.
3, 1148773
Determine m, given that -4*m**5 + 1759*m**4 - 138488*m**3 - 319660*m**2 - 71232*m = 0.
-2, -1/4, 0, 106, 336
Determine d, given that -15*d**3/2 + 10255*d*