605)*(z - 15)
Factor -4*y**2 + 153256*y - 2604196.
-4*(y - 38297)*(y - 17)
Solve -r**2 + 519876*r + 6238656 = 0 for r.
-12, 519888
Factor -i**3 - 10354*i**2 - 10347*i + 62118.
-(i - 2)*(i + 3)*(i + 10353)
Suppose -3*u**2/5 + 11082*u/5 - 1046727/5 = 0. Calculate u.
97, 3597
Find s, given that s**4 + 9603765*s**3 - 38415072*s**2 + 38415076*s = 0.
-9603769, 0, 2
What is r in -r**2 + 14554372*r - 52957436078596 = 0?
7277186
Find g, given that -g**4/5 + 32953*g**3/5 + 791673*g**2/5 - 7419577*g/5 - 8178296/5 = 0.
-31, -1, 8, 32977
Factor 2*a**2/9 + 210892*a/9 + 46864.
2*(a + 2)*(a + 105444)/9
Solve 686*s**4/3 - 688772*s**3 + 10877520602*s**2/21 + 7266151016*s/7 + 10906463432/21 = 0.
-1, 73846/49
Find g, given that -2*g**4 - 7998*g**3 - 270132*g**2 - 2030848*g - 3045120 = 0.
-3965, -24, -8, -2
Find b such that -2*b**5/9 - 3758*b**4/9 - 2312660*b**3/9 - 64974408*b**2 - 5695940304*b + 43144472448 = 0.
-968, -306, 7
Factor 4*f**3 + 4360*f**2 - 53236*f - 374680.
4*(f - 17)*(f + 5)*(f + 1102)
Determine r, given that 4*r**4 + 166324*r**3 + 1717362632*r**2 - 241914588160*r + 240197059200 = 0.
-20860, 1, 138
Factor 9382*z**2/3 + 1970234*z/9 + 980/9.
2*(z + 70)*(14073*z + 7)/9
Factor 4*h**2/9 - 181978592*h/9 - 20219844.
4*(h - 45494649)*(h + 1)/9
What is m in -m**2 + 4351*m - 4730350 = 0?
2126, 2225
Suppose -5*a**5 + 83930*a**4 - 1174340*a**3 + 5031960*a**2 - 6037920*a = 0. Calculate a.
0, 2, 6, 16772
Solve -a**3 - 12525*a**2 - 38047752*a + 7388316828 = 0 for a.
-6354, 183
Determine d so that 2*d**5/15 - 244*d**4/15 - 22856*d**3/15 + 19268*d**2/3 + 7930*d = 0.
-65, -1, 0, 5, 183
Determine j so that 2*j**4 + 448*j**3 - 7982*j**2 - 72940*j - 110400 = 0.
-240, -5, -2, 23
Factor 2*a**2/3 + 11144*a - 160265690/3.
2*(a - 3889)*(a + 20605)/3
Factor -j**2 + 759*j - 111078.
-(j - 561)*(j - 198)
Let -2*c**4 + 279476872*c**3 - 9763414688909288*c**2 - 39053662109359680*c - 39053663227267200 = 0. Calculate c.
-2, 69869220
Determine g so that -4*g**3 - 21896*g**2 - 6263580*g + 18987912 = 0.
-5171, -306, 3
Find l, given that 2*l**5/5 - 9592*l**4/5 + 464894*l**3/5 + 1481064*l**2/5 = 0.
-3, 0, 52, 4747
Factor b**2 - 7112408*b + 14224812.
(b - 7112406)*(b - 2)
Find g, given that 4*g**3 - 10128328*g**2 = 0.
0, 2532082
Let 3*p**3/2 + 225048*p**2 - 450099*p/2 = 0. What is p?
-150033, 0, 1
Factor -5*l**2 - 240170820*l - 2884101138973620.
-5*(l + 24017082)**2
Factor -2*i**3/7 - 140358864*i**2/7 - 2462576337921312*i/7.
-2*i*(i + 35089716)**2/7
Let -115997*x**3/3 + 234265*x**2/6 - 2273*x/6 + 1/3 = 0. Calculate x.
1/1022, 2/227, 1
Factor a**2/4 - 34*a - 1305/4.
(a - 145)*(a + 9)/4
Find k such that k**4 + 16002197*k**3 + 85356748272663*k**2 + 151765977111340152895*k - 607065274154357115052 = 0.
-5334067, 4
Factor 2*k**3 - 936*k**2 - 92906*k + 93840.
2*(k - 552)*(k - 1)*(k + 85)
Factor 4*q**2 - 5903180*q - 94451904.
4*(q - 1475811)*(q + 16)
Factor -4*o**2 + 9920060*o - 9920056.
-4*(o - 2480014)*(o - 1)
Factor i**3/4 - 4231*i**2/4 - 32981*i - 210969.
(i - 4262)*(i + 9)*(i + 22)/4
Factor 2*u**3/9 + 15093312*u**2 + 181119736*u/3 + 543359200/9.
2*(u + 2)**2*(u + 67919900)/9
Find a such that 5*a**2 - 18330*a + 16706965 = 0.
1697, 1969
Factor -2*r**3/17 - 14733534*r**2/17 - 58934112*r/17 - 3466712.
-2*(r + 2)**2*(r + 7366763)/17
Solve -5*h**2 + 75025*h - 9595020 = 0.
129, 14876
Find n, given that -n**2/2 + 141346*n - 9989345858 = 0.
141346
Determine y so that 3*y**2/7 - 76218*y/7 + 413136 = 0.
38, 25368
Let f**2/6 + 1387796*f/3 + 962988868808/3 = 0. What is f?
-1387796
Solve 2*z**2/9 - 62560*z + 430675102/9 = 0 for z.
767, 280753
Factor -y**4/6 - 183731*y**3/3 - 7501532584*y**2 - 918817716528704*y/3 + 1837725452918272/3.
-(y - 2)*(y + 122488)**3/6
Suppose -105*a**3 - 115469120*a**2 - 104471965*a + 10997050 = 0. What is a?
-1099705, -1, 2/21
Factor 3*t**4/8 + 21447*t**3/8 - 29535*t**2.
3*t**2*(t - 11)*(t + 7160)/8
Determine a so that -2*a**3/7 + 33084*a**2/7 - 825942*a/7 + 1519564/7 = 0.
2, 23, 16517
Factor -2*g**2/9 - 180014*g/3 - 540040/9.
-2*(g + 1)*(g + 270020)/9
Let -3*k**4/8 + 48846*k**3 + 6448761*k**2/4 + 17735091*k + 520243977/8 = 0. What is k?
-11, 130289
Let 5*w**5 - 840865*w**4 + 35353117755*w**3 - 35337982435*w**2 - 600976095760*w - 530284154700 = 0. Calculate w.
-3, -1, 5, 84086
Suppose -q**3/3 - 38*q**2/3 + 103759*q/3 - 517720/3 = 0. What is q?
-344, 5, 301
Find b such that 3*b**5/2 - 1287*b**4/2 + 42879*b**3/2 + 666567*b**2/2 - 747201*b = 0.
-13, 0, 2, 49, 391
Solve -5*g**4 - 678950*g**3 + 4752815*g**2 - 10863700*g + 8147820 = 0.
-135797, 2, 3
Solve 5*z**4 + 18220*z**3 + 254145*z**2 + 161730*z - 5880600 = 0.
-3630, -9, 4
Find o, given that -o**3/5 + 87365*o**2 + o/5 - 87365 = 0.
-1, 1, 436825
Factor 2025*x**3/2 + 108707985*x**2 - 9662938*x + 214732.
(x + 107366)*(45*x - 2)**2/2
Suppose m**2/2 + 96585*m/2 + 48292 = 0. Calculate m.
-96584, -1
Find q such that 5*q**2 - 33688280*q + 56745010467920 = 0.
3368828
Determine m, given that 2*m**2 - 104600*m - 17945082 = 0.
-171, 52471
Find f such that f**3/5 - 727956*f**2/5 + 132481440384*f/5 - 529914114304/5 = 0.
4, 363976
Factor -r**3 + 5982*r**2 - 535989*r - 541972.
-(r - 5891)*(r - 92)*(r + 1)
Let -4*t**4 - 11512*t**3 + 6050412*t**2 - 715049856*t - 4510595376 = 0. Calculate t.
-3346, -6, 237
Find m, given that -19*m**3 + 11922*m**2 - 134387*m + 60984 = 0.
9/19, 11, 616
Find f, given that -26*f**3 + 3161244*f**2 - 96091482762*f + 29566310792 = 0.
4/13, 60793
Let -9*g**5/5 + 2244*g**4/5 - 111924*g**3/5 - 589962*g**2/5 + 944973*g/5 - 245322/5 = 0. Calculate g.
-6, 1/3, 1, 77, 177
Suppose v**3 - 3652672*v**2 + 3335499532221*v + 6671013675138 = 0. Calculate v.
-2, 1826337
Factor 55*i**2/4 + 1161445*i/2 - 5597330.
5*(i + 42244)*(11*i - 106)/4
Determine v so that 33640*v**2 + 997832*v + 36997202/5 = 0.
-4301/290
Suppose -2*n**4/13 - 190*n**3/13 + 1020*n**2/13 + 44280*n/13 + 190512/13 = 0. What is n?
-98, -9, -6, 18
Let -10*b**4 - 5825*b**3 + 238530*b**2 - 344655*b = 0. What is b?
-621, 0, 3/2, 37
Suppose -4*g**2 - 5729920*g + 487072100 = 0. Calculate g.
-1432565, 85
Find h, given that -21*h**3/5 + 57072*h**2/5 - 6738468*h/5 - 1929936/5 = 0.
-2/7, 124, 2594
What is k in 4*k**4 - 78300*k**3 - 1489224*k**2 + 1567520*k = 0?
-20, 0, 1, 19594
Factor -x**2/6 - 4290977*x/3.
-x*(x + 8581954)/6
Let -2*x**4/7 + 4000652*x**3/7 - 2667533403744*x**2/7 + 592878860883063040*x/7 + 1185768391931746304/7 = 0. Calculate x.
-2, 666776
Suppose -3*p**2 + 37329*p - 186570 = 0. What is p?
5, 12438
Let -h**4/2 + 3095*h**3/2 + 217029*h**2/2 + 4068801*h/2 + 5168394 = 0. What is h?
-33, -3, 3164
Solve 3*j**4 - 3967737*j**3 + 1311913392297*j**2 - 1311909424563*j = 0.
0, 1, 661289
Factor j**3/2 + 22445*j**2/2 - 11223*j.
j*(j - 1)*(j + 22446)/2
Factor -4*u**2/7 - 12837724*u/7.
-4*u*(u + 3209431)/7
What is l in 5*l**3 + 25360*l**2 - 77399735*l + 47870164370 = 0?
-7354, 1141
Factor 2*b**2/9 + 15432*b - 36525944/9.
2*(b - 262)*(b + 69706)/9
Determine s, given that -s**4 - 355696*s**3 - 14226316*s**2 - 27029856*s = 0.
-355656, -38, -2, 0
Suppose 8*q**4 - 653182668*q**3 + 326591332*q**2 = 0. What is q?
0, 1/2, 81647833
Solve -2*n**4/3 - 3004*n**3 + 36074*n**2/3 - 9020*n = 0 for n.
-4510, 0, 1, 3
Let -3*j**2 - 694674*j - 14586831 = 0. Calculate j.
-231537, -21
Find j such that -j**4 + 569*j**3 - 58631*j**2 + 1246159*j = 0.
0, 29, 97, 443
Factor -4*q**3/7 - 2198738*q**2/7 - 302153599224*q/7 - 151076249928/7.
-2*(q + 274842)**2*(2*q + 1)/7
Factor -k**2/3 - 1341014*k/3 - 449579637049/3.
-(k + 670507)**2/3
Solve -25*l**5 - 25120*l**4 - 268325*l**3 + 54670*l**2 = 0 for l.
-994, -11, 0, 1/5
Solve -49108*i**5 + 24553992*i**4 - 48956676*i**3 + 24447808*i**2 + 3984*i = 0.
-2/12277, 0, 1, 498
Solve 2*o**2/9 + 26578*o/9 + 1929536/9 = 0 for o.
-13216, -73
Factor 4*p**2 + 1096972*p + 8775520.
4*(p + 8)*(p + 274235)
Factor -s**4/7 - 370999*s**3/7 - 45879838665*s**2/7 - 1891212828620629*s/7 + 3782609179563926/7.
-(s - 2)*(s + 123667)**3/7
Suppose -k**2/3 + 93323*k/3 - 3169514 = 0. What is k?
102, 93221
Determine v so that -3*v**5/2 + 25991*v**4 - 121279*v**3/2 + 34650*v**2 = 0.
0, 1, 4/3, 17325
Suppose -w**3/5 + 1604*w**2/5 + 117841*w - 590808/5 = 0. Calculate w.
-309, 1, 1912
Factor 5*k**2 - 252014840*k + 3175573979011280.
5*(k - 25201484)**2
Let 8*d**5/5 + 3222*d**4/5 - 142012*d**3/5 + 