(i + 3674)
Factor -2*q**3/3 + 74*q**2/3 + 506*q/3 + 430/3.
-2*(q - 43)*(q + 1)*(q + 5)/3
Factor -2*m**3 + 376*m**2 - 22746*m + 447372.
-2*(m - 86)*(m - 51)**2
Find q, given that 3*q**2/8 + 21465*q/2 + 153582075/2 = 0.
-14310
Factor 3*s**4 - 1716*s**3 - 15642*s**2 - 26124*s - 12201.
3*(s - 581)*(s + 1)**2*(s + 7)
Factor o**4/6 + 4419*o**3 + 58582683*o**2/2.
o**2*(o + 13257)**2/6
Factor -4*x**3 + 106052*x**2 - 636204*x + 954252.
-4*(x - 26507)*(x - 3)**2
Find r, given that 4*r**3 - 3792*r**2 - 15232*r = 0.
-4, 0, 952
Solve 3*k**2/5 + 582*k/5 + 5355 = 0 for k.
-119, -75
Factor v**4/8 + 2572*v**3 - 41155*v**2/8 + 10289*v/4.
v*(v - 1)**2*(v + 20578)/8
Factor -4*a**4/9 - 74332*a**3/9 - 115121684*a**2/3 - 38365636*a.
-4*a*(a + 1)*(a + 9291)**2/9
Let 6*r**4/7 + 15*r**3/7 - 3237*r**2/7 + 10974*r/7 - 4680/7 = 0. What is r?
-26, 1/2, 3, 20
Factor c**5/3 + 15*c**4 - 1174*c**3/3 + 7994*c**2/3 - 4361*c - 22295/3.
(c - 7)**3*(c + 1)*(c + 65)/3
Find a, given that -2*a**3/3 - 1102*a**2/3 - 181750*a/3 - 9406250/3 = 0.
-301, -125
Let -r**3 - 2134*r**2 - 1125577*r + 13815948 = 0. What is r?
-1073, 12
Factor 2*g**4 - 178*g**3 + 1692*g**2 + 1872*g.
2*g*(g - 78)*(g - 12)*(g + 1)
Let 2*t**2/7 - 23978*t/7 = 0. Calculate t.
0, 11989
What is r in 55*r**3 - 1310*r**2 - 98800*r - 17920 = 0?
-32, -2/11, 56
Factor -2*n**2/11 - 12874*n/11 + 12876/11.
-2*(n - 1)*(n + 6438)/11
Factor 95*m**2 + 2941*m - 124.
(m + 31)*(95*m - 4)
Factor 4*d**4 + 16*d**3 - 1272*d**2 - 15120*d - 47628.
4*(d - 21)*(d + 7)*(d + 9)**2
Suppose -10*x**4/3 + 103*x**3 + 2217*x**2 - 13738*x/3 - 480 = 0. What is x?
-16, -1/10, 2, 45
Factor -5*k**3 + 1830*k**2 - 105075*k + 103250.
-5*(k - 295)*(k - 70)*(k - 1)
Suppose -2*f**2 - 370*f - 2148 = 0. What is f?
-179, -6
Determine d so that 2*d**2 + 7850*d - 23568 = 0.
-3928, 3
What is f in -3*f**4 + 168*f**3 + 5403*f**2 - 19140*f - 58500 = 0?
-25, -2, 5, 78
Factor -80*r**3 + 652*r**2 - 656*r + 84.
-4*(r - 7)*(r - 1)*(20*r - 3)
Solve 2*y**3/5 - 10*y**2 - 296*y/5 + 1856/5 = 0.
-8, 4, 29
Factor -2*y**2 + 3314*y - 46004.
-2*(y - 1643)*(y - 14)
Find t, given that -20*t**3/13 + 1554*t**2/13 - 10732*t/13 - 3360/13 = 0.
-3/10, 8, 70
Solve 2*r**5 + 123*r**4 + 865*r**3 - 6350*r**2 + 2448*r + 2912 = 0.
-52, -14, -1/2, 1, 4
Factor -3*q**2 + 674520*q - 37914769200.
-3*(q - 112420)**2
Factor -4*d**3 - 1704*d**2 - 45360*d - 312032.
-4*(d + 14)**2*(d + 398)
Find r such that -2*r**4 - 42*r**3 + 214*r**2 + 330*r - 500 = 0.
-25, -2, 1, 5
Factor -2*v**2 + 85204*v - 907465202.
-2*(v - 21301)**2
Determine p so that 20*p**5 + 1228*p**4 - 3352*p**3 - 1536*p**2 = 0.
-64, -2/5, 0, 3
Let -10*j**4 - 2486*j**3 - 3914*j**2 + 9374*j - 2964 = 0. Calculate j.
-247, -3, 2/5, 1
Factor -2*x**2/3 + 30442*x/3 + 30448.
-2*(x - 15224)*(x + 3)/3
Factor -5*j**5 + 490*j**4.
-5*j**4*(j - 98)
Find y such that y**2/4 + 2083*y/2 + 4165/4 = 0.
-4165, -1
Factor -4*l**2/7 - 4407292*l/7.
-4*l*(l + 1101823)/7
Suppose 2*h**4/15 + 6*h**3/5 - 396*h**2/5 + 8848*h/15 - 512 = 0. What is h?
-32, 1, 10, 12
Let 5*d**2 - 974370*d + 47469844845 = 0. What is d?
97437
Factor 3*w**4 - 192*w**3 + 711*w**2 + 594*w - 3240.
3*(w - 60)*(w - 3)**2*(w + 2)
Factor -2*b**3 + 4802*b**2 - 2811510*b - 85621050.
-2*(b - 1215)**2*(b + 29)
Factor x**3/6 - 5873*x**2/3 + 46960*x/3 - 93904/3.
(x - 11738)*(x - 4)**2/6
Find w, given that 3*w**3/8 - 3429*w**2/2 + 463743*w/8 - 1967223/4 = 0.
17, 4538
Factor t**3 + 31232*t**2 + 243859456*t.
t*(t + 15616)**2
Solve -3*n**5 - 30*n**4 + 33*n**3 + 276*n**2 - 516*n + 240 = 0 for n.
-10, -4, 1, 2
Let 3*w**2/5 + 3864*w - 38652/5 = 0. What is w?
-6442, 2
Factor z**2/7 + 2777*z/7 - 794.
(z - 2)*(z + 2779)/7
Solve t**2 - 634*t + 1264 = 0.
2, 632
Let a**4/4 - 161*a**3/4 + 3265*a**2/2 - 400*a - 48000 = 0. Calculate a.
-5, 6, 80
Find g such that -75*g**5/2 + 1915*g**4 - 7695*g**3/2 + 2460*g**2 - 490*g = 0.
0, 2/5, 2/3, 1, 49
Suppose -3*r**5 - 44*r**4 - 151*r**3 + 246*r**2 + 1072*r - 1120 = 0. What is r?
-7, -20/3, -4, 1, 2
Factor -4*y**4/7 + 94*y**3/7 + 204*y**2/7.
-2*y**2*(y + 2)*(2*y - 51)/7
Solve 6*k**2 + 508509*k + 254253 = 0 for k.
-84751, -1/2
Solve -5*u**3 - 910*u**2 + 915*u = 0.
-183, 0, 1
Find o such that 2*o**5 + 162*o**4 - 4580*o**3 - 792932*o**2 - 25703454*o - 263803198 = 0.
-47, -29, 71
Let -2*i**4/3 + 142*i**3 - 3622*i**2 + 95062*i/3 - 89540 = 0. What is i?
6, 11, 185
Let 5*c**5 - 535*c**4 - 6280*c**3 - 24460*c**2 - 37600*c - 18880 = 0. Calculate c.
-4, -2, -1, 118
Factor 4*v**2 + 505880*v - 505884.
4*(v - 1)*(v + 126471)
Solve q**4/7 - 372*q**3 + 1718357*q**2/7 - 29989842*q/7 - 66873960/7 = 0.
-2, 20, 1293
Let -25*t**3/6 - 3785*t**2/6 + 3052*t/3 - 408 = 0. What is t?
-153, 4/5
Find p, given that 16*p**4/9 + 34*p**3/3 - 230*p**2/9 - 52*p/3 + 160/9 = 0.
-8, -1, 5/8, 2
Factor -b**4/2 + 21*b**3/2 - 70*b**2 + 150*b.
-b*(b - 10)*(b - 6)*(b - 5)/2
Factor -s**4/5 + 584*s**3/5 - 74758*s**2/5 - 3067752*s/5 - 27594009/5.
-(s - 309)**2*(s + 17)**2/5
Factor -3*a**3/4 - 208685*a**2 - 58066183879*a/4 - 19355209129/2.
-(a + 139123)**2*(3*a + 2)/4
Factor 5*b**2 - 14945*b - 44880.
5*(b - 2992)*(b + 3)
Factor -2*q**2/7 - 5422*q/7 - 107640/7.
-2*(q + 20)*(q + 2691)/7
Factor w**2/4 + 152343*w/2 + 23208389649/4.
(w + 152343)**2/4
Factor -3*o**2/2 + 36603*o - 446593203/2.
-3*(o - 12201)**2/2
Let 3*q**3/2 - 9462*q**2 + 119787831*q/8 - 1308522897/8 = 0. What is q?
11, 6297/2
Factor -b**2/3 + 30380*b/3 - 230736100/3.
-(b - 15190)**2/3
Factor -a**4 - 32657*a**3 - 195918*a**2 - 391820*a - 261208.
-(a + 2)**3*(a + 32651)
Factor -5*y**3 - 116480*y**2 + 582555*y + 699030.
-5*(y - 6)*(y + 1)*(y + 23301)
Suppose -8*d**5 + 388*d**4 - 2248*d**3 + 2576*d**2 + 4896*d - 8064 = 0. What is d?
-3/2, 2, 4, 42
Determine i, given that 4*i**4 + 312*i**3 + 1956*i**2 - 2272*i = 0.
-71, -8, 0, 1
Solve -2*j**3/3 + 782*j**2 - 33440*j + 1092872/3 = 0 for j.
22, 1129
Factor 2*z**2/11 - 16242*z/11.
2*z*(z - 8121)/11
Determine x, given that -2*x**4/3 + 31448*x**3/3 - 123590564*x**2/3 - 82802632*x + 1442624610 = 0.
-7, 5, 7863
Determine g so that -g**5/6 - 13*g**4/6 + 61*g**3/6 + 193*g**2/6 - 40*g = 0.
-16, -3, 0, 1, 5
Factor -2*u**2/7 - 1146*u/7 - 1144/7.
-2*(u + 1)*(u + 572)/7
Factor a**3/4 - 281*a**2 + 3365*a/4 - 1121/2.
(a - 1121)*(a - 2)*(a - 1)/4
Determine m, given that 2*m**3/11 + 542*m**2/11 + 22412*m/11 + 145632/11 = 0.
-222, -41, -8
Solve 21*m**5 + 4653*m**4 - 35577*m**3 + 33879*m**2 + 49356*m - 24732 = 0 for m.
-229, -1, 3/7, 2, 6
Factor a**4 - 190*a**3 - 3375*a**2 + 1458000*a.
a*(a - 135)**2*(a + 80)
Factor 2*q**2/7 + 16680*q/7.
2*q*(q + 8340)/7
Determine n so that -2*n**2/5 - 17484*n/5 - 38211282/5 = 0.
-4371
Suppose 2*k**5/7 - 12*k**4/7 - 220*k**3/7 - 696*k**2/7 - 790*k/7 - 300/7 = 0. Calculate k.
-5, -2, -1, 15
Suppose -v**5/8 + 321*v**4/8 - 4653*v**3/8 + 19327*v**2/8 - 7497*v/4 = 0. What is v?
0, 1, 7, 306
Determine j, given that 5*j**2/4 + 420665*j - 1682665/4 = 0.
-336533, 1
Solve -27*y**4 - 24336*y**3 + 40731*y**2 + 86724*y + 32508 = 0.
-903, -2/3, 3
Let 2*s**2/5 - 11744*s + 58718/5 = 0. Calculate s.
1, 29359
Factor -2*v**2/13 - 14*v - 4080/13.
-2*(v + 40)*(v + 51)/13
Factor 4*m**3/5 - 184*m**2 + 2732*m/5 - 1816/5.
4*(m - 227)*(m - 2)*(m - 1)/5
Determine c so that 5*c**3 - 410*c**2 + 6795*c + 56610 = 0.
-6, 37, 51
Solve -4*q**5 - 1300*q**4 - 108796*q**3 - 510700*q**2 + 108800*q + 512000 = 0 for q.
-160, -5, -1, 1
Factor 144*c**2 - 465*c - 444.
3*(c - 4)*(48*c + 37)
Suppose -5*j**3 - 225*j**2 + 1505*j - 1275 = 0. Calculate j.
-51, 1, 5
What is v in -2*v**2/11 - 24606*v/11 + 49220/11 = 0?
-12305, 2
Factor -2*a**4 - 1232*a**3 - 189728*a**2.
-2*a**2*(a + 308)**2
Suppose -2*i**4 - 338*i**3 - 13752*i**2 + 45752*i + 59168 = 0. Calculate i.
-86, -1, 4
Factor -3*a**3 + 46413*a**2 - 179165277*a - 2697932205.
-3*(a - 7743)**2*(a + 15)
Factor -4*s**3 + 916*s**2 - 68380*s + 1673100.
-4*(s - 99)*(s - 65)**2
Factor 39*f**5 - 238*f**4 + 492*f**3 - 438*f**2 + 157*f - 12.
(f - 3)*(f - 1)**3*(39*f - 4)
Determine l, given that 2*l**3/17 - 17090*l**2/17 - 2*l/17 + 17090/17 = 0.
-1, 1, 8545
What is l in 50*l**4/9 + 101140*l**3/9 + 16913446*l**2/3 - 410790224*l/9 + 824829728/9 = 0?
-5077/5, 4
Factor -o**2 + 2689*o - 8058.
-(o - 2686)*(o - 3)
Factor -3*s**2/7 + 3789*s/7 - 3786/7.
-3*(s - 1262)*(s - 1)/7
Find n, given that 45*n**5 - 530*n**4 + 1545*n**3 