Factor u**2/4 + 14817*u/4 + 14815/2.
(u + 2)*(u + 14815)/4
Solve -2*g**5/21 - 16*g**4/3 + 78*g**3/7 + 16*g**2/3 - 232*g/21 = 0.
-58, -1, 0, 1, 2
Suppose 3*j**5/8 + 147*j**4/4 + 1269*j**3/2 - 91503*j**2/4 - 3755079*j/8 + 491589 = 0. What is j?
-51, -21, 1, 24
Suppose -3*k**4 + 831*k**3 + 2568*k**2 - 13476*k + 10080 = 0. Calculate k.
-6, 1, 2, 280
Factor -3*l**2/5 + 295644*l/5 - 177381.
-3*(l - 98545)*(l - 3)/5
Let 30*z**3 - 1346*z**2 - 6060*z - 784 = 0. What is z?
-4, -2/15, 49
Factor 2*q**3/3 - 2*q**2/9 - 16*q/9 - 8/9.
2*(q - 2)*(q + 1)*(3*q + 2)/9
Factor b**2 + 2845*b + 8526.
(b + 3)*(b + 2842)
Find z such that z**2/4 - 1211*z/4 + 605/2 = 0.
1, 1210
Suppose -3*z**4/8 + 159*z**3/8 + 861*z**2/8 + 549*z/8 - 783/4 = 0. Calculate z.
-3, 1, 58
Factor 18*i**2 - 2*i - 280.
2*(i - 4)*(9*i + 35)
Determine o so that -2*o**3/5 - 2152*o**2 + 43064*o/5 - 43072/5 = 0.
-5384, 2
Factor -3*q**2 + 3120*q + 12528.
-3*(q - 1044)*(q + 4)
Suppose 5*i**2 - 7635*i - 15290 = 0. Calculate i.
-2, 1529
Factor -3*a**3/5 + 7617*a**2/5 + 22878*a/5.
-3*a*(a - 2542)*(a + 3)/5
Factor -x**4 + 31867*x**3 - 95595*x**2 + 95593*x - 31864.
-(x - 31864)*(x - 1)**3
Find g, given that 4*g**4/3 - 436*g**3 + 9628*g**2 + 61708*g/3 + 10504 = 0.
-1, 26, 303
Factor 6*k**2 + 29474*k - 19652.
2*(k + 4913)*(3*k - 2)
What is p in 14*p**3/5 + 18941*p**2/5 - 1356*p/5 - 4059/5 = 0?
-1353, -3/7, 1/2
Find f, given that -2*f**3/5 + 984*f**2/5 + 20442*f/5 + 19456/5 = 0.
-19, -1, 512
Let 3*d**5 - 363*d**4 + 6111*d**3 - 30537*d**2 + 24786*d = 0. What is d?
0, 1, 9, 102
Let -2*x**5/7 + 108*x**4 + 1520*x**3/7 + 4*x**2/7 - 1518*x/7 - 760/7 = 0. Calculate x.
-1, 1, 380
Factor -2*f**4 - 4252*f**3 - 2998944*f**2 - 691471616*f + 7218882560.
-2*(f - 10)*(f + 712)**3
Factor 3*a**3 + 48*a**2 - 3153*a - 3198.
3*(a - 26)*(a + 1)*(a + 41)
Solve v**5/3 + 107*v**4 + 35816*v**3/3 + 511224*v**2 + 5451696*v + 4952304 = 0 for v.
-102, -14, -1
Factor 2*c**4/7 + 35384*c**3 + 247686*c**2/7.
2*c**2*(c + 1)*(c + 123843)/7
Factor -4*q**2 + 46688*q + 46692.
-4*(q - 11673)*(q + 1)
Let -i**5 + 139*i**4 - 6268*i**3 + 109152*i**2 - 435456*i - 3926016 = 0. Calculate i.
-4, 24, 71
Factor -y**4/3 + 22100*y**3/3 - 40737650*y**2 + 1220472500*y/3 - 3049800625/3.
-(y - 11045)**2*(y - 5)**2/3
Factor 5*k**4 + 2977*k**3 + 4160*k**2 + 1188*k.
k*(k + 1)*(k + 594)*(5*k + 2)
Factor -y**3/5 - 1943*y**2/5 - 188568*y + 944784/5.
-(y - 1)*(y + 972)**2/5
Factor 28*c**3 - 376*c**2 + 656*c + 3040.
4*(c - 10)*(c + 2)*(7*c - 38)
Determine v, given that -v**4/5 + 174*v**3/5 - 8389*v**2/5 + 14268*v - 33620 = 0.
5, 82
Factor s**3/6 + 13*s**2 - 1747*s/6 - 304.
(s - 19)*(s + 1)*(s + 96)/6
Determine f so that f**3/4 - 1283*f**2/2 + 58092*f = 0.
0, 94, 2472
Suppose 2*p**3 + 642*p**2 + 24286*p - 24930 = 0. What is p?
-277, -45, 1
Solve -o**4/11 - 9458*o**3/11 - 56720*o**2/11 - 75616*o/11 = 0.
-9452, -4, -2, 0
Suppose 2*g**2/9 - 109962*g + 989656/9 = 0. What is g?
1, 494828
Factor -2*f**2/3 - 13892*f/3 - 27776/3.
-2*(f + 2)*(f + 6944)/3
Let 5*k**5 - 1885*k**4 + 122675*k**3 + 10453665*k**2 + 134511840*k - 500779260 = 0. What is k?
-27, 3, 214
Let 3*j**2/4 + 3*j - 9735/4 = 0. Calculate j.
-59, 55
Factor -2*u**2/11 - 851936*u/11 - 90724368512/11.
-2*(u + 212984)**2/11
Let 2*d**5 + 12*d**4 - 880*d**3 + 1716*d**2 - 850*d = 0. What is d?
-25, 0, 1, 17
Factor -w**2/3 + 128638*w/3 - 4136933761/3.
-(w - 64319)**2/3
Factor -2*c**4/9 + 64*c**3/9 + 50444*c**2/3 - 2429504*c/9 - 2882075042/9.
-2*(c - 203)**2*(c + 187)**2/9
Let -484*h**4/9 + 46640*h**3/3 - 1123600*h**2 = 0. Calculate h.
0, 1590/11
Factor 8*h**3/7 - 303*h**2/7 + 3132*h/7 - 4860/7.
(h - 18)**2*(8*h - 15)/7
Let 3*h**5/2 + 22641*h**4/2 - 22647*h**3 + 3*h**2 + 45291*h/2 - 22647/2 = 0. Calculate h.
-7549, -1, 1
Factor 5*r**2 - 17730*r - 500360.
5*(r - 3574)*(r + 28)
Find s, given that 2*s**5 - 408*s**4 + 18292*s**3 - 52448*s**2 + 51642*s - 17080 = 0.
1, 61, 140
Determine g, given that 2*g**4/17 + 882*g**3/17 - 4476*g**2/17 - 7112*g/17 + 10704/17 = 0.
-446, -2, 1, 6
Factor -u**3 - 148*u**2 + 2244*u - 3888.
-(u - 12)*(u - 2)*(u + 162)
Find l, given that 5*l**5 - 16675*l**4 + 16640*l**3 + 100040*l**2 - 66640*l - 133360 = 0.
-2, -1, 2, 3334
Factor 5*x**3 + 10240*x**2 - 492565*x - 502800.
5*(x - 48)*(x + 1)*(x + 2095)
Solve 3*b**3/7 - 27*b**2 - 8292*b/7 + 26496/7 = 0.
-32, 3, 92
Solve -2*b**2 - 89536*b/5 + 35816/5 = 0 for b.
-8954, 2/5
Find x such that -3*x**4/7 + 33*x**3/7 + 14031*x**2/7 - 435633*x/7 + 421572/7 = 0.
-76, 1, 43
Factor x**4/3 - 27*x**3 - 402*x**2 - 1696*x/3 + 6016.
(x - 94)*(x - 3)*(x + 8)**2/3
Solve -42*o**4 - 621*o**3 - 993*o**2 - 234*o = 0.
-13, -3/2, -2/7, 0
Determine a so that 32*a**5 + 7760*a**4 + 487346*a**3 + 2020630*a**2 - 1102178*a + 141610 = 0.
-119, -5, 1/4
Factor -15*i**3 - 513*i**2/7 - 408*i/7.
-3*i*(i + 1)*(35*i + 136)/7
Solve 2*j**2 - 26234*j + 26232 = 0.
1, 13116
Let -4*y**3 - 808*y**2 - 2388*y = 0. What is y?
-199, -3, 0
Factor 3*d**3/7 + 2850*d**2/7 - 22944*d/7 + 45984/7.
3*(d - 4)**2*(d + 958)/7
Solve 5*t**2 - 3085*t - 248040 = 0.
-72, 689
Determine c so that -64*c**3/7 + 729184*c**2/7 + 364604*c/7 + 45576/7 = 0.
-1/4, 11394
Find f such that -2*f**5/9 + 20*f**4/3 - 184*f**3/9 - 980*f**2/3 - 598*f = 0.
-3, 0, 13, 23
Suppose -5*i**3/3 - 89837*i**2/3 + 53906*i/3 + 35936/3 = 0. Calculate i.
-17968, -2/5, 1
What is h in -h**3 - 17419*h**2 - 139304*h - 278576 = 0?
-17411, -4
What is g in 3*g**4 + 6567*g**3 - 13158*g**2 - 26268*g + 52584 = 0?
-2191, -2, 2
Suppose 4*w**2 - 8812*w - 1787720 = 0. Calculate w.
-187, 2390
Factor -210675*y**2/7 - 372060*y/7 - 164268/7.
-3*(265*y + 234)**2/7
Solve -2*y**4 + 152*y**3 - 1528*y**2 - 608*y + 6144 = 0 for y.
-2, 2, 12, 64
Factor -3*c**2 + 1197*c - 5910.
-3*(c - 394)*(c - 5)
Solve 2*z**4 + 8461*z**3/3 + 6102*z**2 + 2816*z/3 = 0.
-1408, -2, -1/6, 0
Suppose -b**5/3 - 64*b**4 + 814*b**3 - 1276*b**2/3 - 3547*b - 2244 = 0. What is b?
-204, -1, 3, 11
Factor -z**2/2 - 2145*z/2 + 2147.
-(z - 2)*(z + 2147)/2
Determine b so that 2*b**2/3 - 388*b/3 - 2698 = 0.
-19, 213
Let -7*h**3/2 - 1291*h**2/2 - 14099*h + 8268 = 0. Calculate h.
-159, -26, 4/7
Determine n so that -3*n**3 - 171*n**2 + 7770*n + 24768 = 0.
-86, -3, 32
What is p in -47346*p**3 + 37651*p**2/4 - 334*p + 1 = 0?
2/607, 1/24, 2/13
Factor -22*l**3 - 664*l**2 + 2010*l - 1188.
-2*(l - 2)*(l + 33)*(11*l - 9)
Factor -2*v**2/5 - 442*v/5.
-2*v*(v + 221)/5
Suppose -b**2/5 - 78749*b/5 - 78748/5 = 0. Calculate b.
-78748, -1
Factor -2*s**3 + 2756*s**2 - 984256*s + 23762752.
-2*(s - 676)**2*(s - 26)
Let -b**3 - 380*b**2 + 7900*b - 40000 = 0. Calculate b.
-400, 10
Determine a, given that -a**3/2 + 218403*a**2/2 - 5962429200*a - 5962538402 = 0.
-1, 109202
Factor -9*c**2 + 4271493*c + 2847666.
-3*(c - 474611)*(3*c + 2)
Factor -3*t**2/8 + 1299*t/4 + 7821/8.
-3*(t - 869)*(t + 3)/8
Suppose 2*k**4/3 - 34131*k**3/2 - 89599*k**2/3 - 17067*k/2 + 12800/3 = 0. Calculate k.
-1, 1/4, 25600
What is k in 1690*k**5 + 48165*k**4 + 66715*k**3 - 46770*k**2 - 1580*k + 1080 = 0?
-27, -2, -2/13, 2/13, 1/2
Suppose -2*g**3 - 2032*g**2 - 4050*g + 6084 = 0. What is g?
-1014, -3, 1
Determine o, given that 7*o**5/2 + 405*o**4 - 239*o**3/2 - 405*o**2 + 116*o = 0.
-116, -1, 0, 2/7, 1
Let 2*m**5/15 + 28*m**4/15 + 18*m**3/5 - 404*m**2/15 - 448*m/15 + 256/5 = 0. What is m?
-8, -2, 1, 3
Solve 2*c**4/5 + 2448*c**3/5 - 143474*c**2/5 - 29184*c = 0 for c.
-1280, -1, 0, 57
Solve 39*w**2 - 163*w + 28 = 0 for w.
7/39, 4
Find z, given that 2*z**2 - 600*z - 5562 = 0.
-9, 309
Suppose s**3/5 + 142*s**2/5 + 951*s/5 + 162 = 0. Calculate s.
-135, -6, -1
Factor 4*d**3 - 29428*d**2 - 58868*d - 29436.
4*(d - 7359)*(d + 1)**2
Factor -11*v**3 - 190*v**2 - 1043*v - 1764.
-(v + 7)**2*(11*v + 36)
Factor 2*q**3/5 - 328*q**2/5 - 1336*q/5 - 1344/5.
2*(q - 168)*(q + 2)**2/5
Solve y**4 - 169*y**3 + 827*y**2 - 1151*y + 492 = 0 for y.
1, 3, 164
Find t, given that -5*t**2 - 511*t/3 - 34/3 = 0.
-34, -1/15
Solve q**4 - 38054*q**3/3 + 63416*q**2/3 - 12682*q/3 - 12683/3 = 0.
-1/3, 1, 12683
Suppose 5*f**4 - 1655*f**3 + 161535*f**2 - 1830125*f - 283449760 = 0. What is f?
-32, 121
Find u, given that -70*u**3 + 151485*u**2 - 81961500*u + 5853620 = 0.
1/14, 1082
Factor 2*x**2/5 - 650088*x/5 + 52826800968/5.
2*(x - 162522)**2/5
Factor -2*r**2/9 - 3436*r/9 - 2288/3.
-2*(r + 2)*(r + 1716)/9
