hat 2*j**2 - 176*j + 3630 = 0.
33, 55
Solve -8*w**4 + 252*w**3 - 2652*w**2 + 9712*w - 4224 = 0.
1/2, 8, 11, 12
Factor 4*j**2 + 1484*j + 76632.
4*(j + 62)*(j + 309)
Solve 240818*t**3/7 + 18293840*t**2/7 - 90408*t + 5472/7 = 0.
-76, 6/347
Factor -3*v**2/7 - 1306692*v - 996008990004.
-3*(v + 1524474)**2/7
Let -27*g**4 + 1965*g**3 + 86433*g**2 - 6483165*g - 1444950 = 0. What is g?
-57, -2/9, 65
Factor 5*t**2 + 955*t + 44400.
5*(t + 80)*(t + 111)
What is y in 2*y**5 - 1048*y**4/7 - 6828*y**3/7 - 11160*y**2/7 - 1458*y/7 = 0?
-3, -1/7, 0, 81
Factor 2*h**3 - 124547*h**2 + 1938963264*h + 969512769.
(h - 31137)**2*(2*h + 1)
Find p, given that -2*p**3/9 + 74*p**2/9 - 340*p/9 - 992/9 = 0.
-2, 8, 31
Find a, given that 2*a**2 - 191210*a + 191208 = 0.
1, 95604
Let -5*h**2 + 578115*h - 578110 = 0. What is h?
1, 115622
Factor -4*q**5 - 22132*q**4 - 66360*q**3.
-4*q**3*(q + 3)*(q + 5530)
Suppose -99730*r**2 + 4886766*r + 196 = 0. Calculate r.
-2/49865, 49
Factor t**3 + 563*t**2 - 7488*t.
t*(t - 13)*(t + 576)
Determine w, given that 2*w**3 + 7646*w**2 - 7660*w - 45888 = 0.
-3824, -2, 3
Let 5*x**2 - 102505*x - 307560 = 0. What is x?
-3, 20504
Suppose -2*g**5/11 + 28*g**4/11 + 116*g**3/11 - 184*g**2/11 - 882*g/11 - 612/11 = 0. Calculate g.
-3, -2, -1, 3, 17
Determine w so that -8*w**4/5 + 17186*w**3/5 - 109608*w**2 + 4469504*w/5 - 1083392/5 = 0.
1/4, 16, 2116
Let 105*f**5 - 132*f**4 - 519*f**3 - 138*f**2 + 144*f = 0. Calculate f.
-8/7, -1, 0, 2/5, 3
Factor 5*t**2 - 3930440*t - 3930445.
5*(t - 786089)*(t + 1)
Factor 5*x**3 - 12840*x**2 - 25695*x - 12850.
5*(x - 2570)*(x + 1)**2
Determine y so that -2*y**3/9 + 4780*y**2/9 + 23942*y/9 + 19160/9 = 0.
-4, -1, 2395
Determine j, given that 28*j**5 - 134*j**4/3 + 4*j**3 + 14*j**2 - 4*j/3 = 0.
-1/2, 0, 2/21, 1
Factor 5*q**4/2 - 54855*q**3 + 219380*q**2.
5*q**2*(q - 21938)*(q - 4)/2
Factor 2637*t**3/4 + 4413*t**2 + 7445*t + 200.
(3*t + 10)**2*(293*t + 8)/4
Factor 5*v**3/3 - 228*v**2 - 752*v + 2240/3.
(v - 140)*(v + 4)*(5*v - 4)/3
Factor -r**5 + 108404*r**4 - 2937965205*r**3 + 5875496802*r**2.
-r**2*(r - 54201)**2*(r - 2)
Find h such that -2*h**3 - 486*h**2 - 480*h + 968 = 0.
-242, -2, 1
Find q such that q**4/2 + 49*q**3 + 384*q**2 - 46177*q - 93025/2 = 0.
-61, -1, 25
Suppose -4*w**3/9 + 61672*w**2/9 - 123316*w/9 - 61664/3 = 0. Calculate w.
-1, 3, 15416
Solve -8007*z**5/5 + 22739*z**4/5 - 4043*z**3 + 4281*z**2/5 + 1162*z/5 + 8 = 0.
-2/17, -20/471, 1
Factor -p**2/2 - 1005*p/2 + 19277.
-(p - 37)*(p + 1042)/2
Suppose -3*o**2/5 + 678*o/5 + 2061/5 = 0. What is o?
-3, 229
Factor s**3 + 1797*s**2 + 808200*s + 806404.
(s + 1)*(s + 898)**2
Let t**3/4 + 5*t**2/4 - 161*t/4 - 165/4 = 0. What is t?
-15, -1, 11
Find s such that -2*s**4/3 - 28*s**3/3 + 50*s**2 + 656*s/3 - 2720/3 = 0.
-17, -5, 4
Factor 4*q**5 - 11200*q**4 + 11196*q**3.
4*q**3*(q - 2799)*(q - 1)
Suppose -3*b**3/8 + 147*b**2/2 + 591*b/8 = 0. What is b?
-1, 0, 197
Factor 3*f**2/7 + 1119*f/7 + 27066/7.
3*(f + 26)*(f + 347)/7
Factor 10*s**2/7 + 347134*s/7 + 19836.
2*(s + 34713)*(5*s + 2)/7
Determine g so that 3*g**3/2 + 780*g**2 + 9231*g/2 - 5397 = 0.
-514, -7, 1
Determine w, given that -4*w**3/3 - 379*w**2/3 - 1361*w/3 + 364/3 = 0.
-91, -4, 1/4
Let -9*y**3/4 + 1351*y**2/2 - 1491*y + 298 = 0. What is y?
2/9, 2, 298
Determine u, given that u**2/5 - 4408*u/5 + 8796 = 0.
10, 4398
Suppose 3*f**4/8 + 10701*f**3/4 - 26769*f**2/2 + 32139*f/4 + 192753/8 = 0. What is f?
-7139, -1, 3
Factor 4*f**2 - 3236*f - 1208744.
4*(f - 1087)*(f + 278)
Determine d so that -d**3 - 19308*d**2 + 38619*d - 19310 = 0.
-19310, 1
Factor 2*z**3 + 1914*z**2 + 22702*z + 20790.
2*(z + 1)*(z + 11)*(z + 945)
Factor 3*b**2 + 162*b + 1512.
3*(b + 12)*(b + 42)
Solve -1500*h**5 + 91925*h**4 + 906510*h**3 + 610700*h**2 + 77160*h - 11200 = 0.
-8, -2/5, 1/12, 70
Factor -2*b**4/15 - 6028*b**3/15 - 6026*b**2/15.
-2*b**2*(b + 1)*(b + 3013)/15
Solve -9*x**4/7 + 6603*x**3/7 - 63183*x**2/7 + 141105*x/7 + 54300/7 = 0 for x.
-1/3, 5, 724
Suppose -2*v**3/3 + 98*v**2 - 10024*v/3 - 7080 = 0. Calculate v.
-2, 59, 90
Factor 5*x**3 - 11385*x**2 - 68525*x + 79905.
5*(x - 2283)*(x - 1)*(x + 7)
Factor 1250*s**2/17 + 188200*s/17 + 7083848/17.
2*(25*s + 1882)**2/17
Find k such that 2*k**4/5 + 232*k**3/5 + 38*k**2 - 30064*k/5 + 5928 = 0.
-114, -13, 1, 10
Suppose 4*m**5 + 13280*m**4 + 106056*m**3 + 238528*m**2 + 211988*m + 66240 = 0. Calculate m.
-3312, -5, -1
Factor 2*f**3/13 + 256*f**2/13 + 634*f + 15476/13.
2*(f + 2)*(f + 53)*(f + 73)/13
Determine r, given that r**4/8 - 229*r**3/8 - 20265*r**2/8 + 20493*r/8 = 0.
-69, 0, 1, 297
Factor k**3/4 + 156*k**2 + 9149*k/4 + 4263/2.
(k + 1)*(k + 14)*(k + 609)/4
What is m in -26*m**4/5 - 34*m**3 + 1968*m**2/5 + 2176*m - 19456/5 = 0?
-8, 19/13, 8
Factor -9*t**3/2 + 699*t**2/2 - 15151*t/2 + 59405/2.
-(t - 5)*(3*t - 109)**2/2
Factor -4*u**2 - 2756*u + 16680.
-4*(u - 6)*(u + 695)
Factor -3*v**2 + 461997*v - 3233832.
-3*(v - 153992)*(v - 7)
What is v in -2*v**3/3 - 5996*v**2/3 - 13966*v - 23928 = 0?
-2991, -4, -3
Factor g**2/2 + 407*g/2 - 112680.
(g - 313)*(g + 720)/2
Factor -2*z**3 + 825728*z**2 - 825726*z.
-2*z*(z - 412863)*(z - 1)
Find r such that 2*r**3/11 + 2386*r**2/11 + 683392*r/11 - 17004544/11 = 0.
-608, 23
Solve -w**2/3 - 221638*w/3 - 12280850761/3 = 0 for w.
-110819
Factor 422*t**2/7 - 62*t + 12/7.
2*(t - 1)*(211*t - 6)/7
Suppose 5*m**2 - 273910*m = 0. Calculate m.
0, 54782
Find n, given that -4*n**2 + 2352*n - 323840 = 0.
220, 368
Find r such that -3*r**3/5 + 4461*r**2/5 - 435948*r/5 + 854076/5 = 0.
2, 103, 1382
Solve -128*q**4 - 912*q**3 + 1743*q**2/2 - 196*q = 0 for q.
-8, 0, 7/16
Find d, given that d**5 - 22*d**4 + 102*d**3 + 388*d**2 - 1639*d - 3630 = 0.
-3, -2, 5, 11
Let -89*u**3/3 + 386*u**2/3 - 129*u + 30 = 0. What is u?
30/89, 1, 3
Factor -l**3 - 61*l**2 + 15336*l - 492804.
-(l - 54)**2*(l + 169)
Find u, given that 4*u**4 - 1470*u**3 - 77848*u**2 - 1176630*u - 4769856 = 0.
-21, -13/2, 416
Suppose -94*u**5 - 189*u**4 + 280*u**3 + 379*u**2 - 372*u - 4 = 0. What is u?
-2, -1/94, 1
Factor -5*o**4 - 5*o**3 + 1530*o**2.
-5*o**2*(o - 17)*(o + 18)
Solve b**2/3 + 7707*b - 23122/3 = 0.
-23122, 1
Factor 4*b**2/5 + 9484*b/5 - 7600.
4*(b - 4)*(b + 2375)/5
Factor -3*f**3/8 - 160191*f**2/8 - 2138669973*f/8 - 6414568281/8.
-3*(f + 3)*(f + 26697)**2/8
Solve -15*j**4 + 77196*j**3 - 99026331*j**2 - 757313298*j + 318764592 = 0.
-8, 2/5, 2577
Find c such that -21*c**3 - 396*c**2 + 147*c + 1710 = 0.
-19, -2, 15/7
What is z in 3*z**5 + 264*z**4 + 513*z**3 - 264*z**2 - 516*z = 0?
-86, -2, -1, 0, 1
Factor 3*h**4 - 2133*h**3 + 23172*h**2 - 50400*h.
3*h*(h - 700)*(h - 8)*(h - 3)
Factor -4*l**2 + 9752*l + 176832.
-4*(l - 2456)*(l + 18)
Determine p, given that p**5/4 + 40*p**4 + 4511*p**3/2 + 52440*p**2 + 1718721*p/4 = 0.
-57, -23, 0
Suppose -3*p**4 + 564*p**3 + 2367*p**2 - 12096*p = 0. What is p?
-7, 0, 3, 192
Determine n so that -4*n**4/9 + 1690*n**3/9 + 848*n**2/3 + 2*n/9 - 848/9 = 0.
-1, 1/2, 424
Find n such that -2*n**5/3 - 892*n**4/3 - 32246*n**3 + 608368*n**2/3 - 521608*n/3 - 408608 = 0.
-226, -1, 3, 4
Find k, given that 5*k**5 + 195*k**4 + 1165*k**3 + 1405*k**2 - 1170*k - 1600 = 0.
-32, -5, -2, -1, 1
Find m such that -8*m**5/13 + 282*m**4/13 - 2854*m**3/13 + 8728*m**2/13 - 696*m + 1760/13 = 0.
1/4, 2, 11, 20
Factor -4*z**2 + 43980*z + 43984.
-4*(z - 10996)*(z + 1)
Let 2*o**5/7 + 398*o**4/7 + 14822*o**3/7 + 146906*o**2/7 - 193384*o/7 - 46552 = 0. Calculate o.
-154, -23, -1, 2
Solve -2*h**2/5 + 379452*h/5 - 75890 = 0.
1, 189725
Factor 4*d**3 + 284*d**2 + 1384*d - 64416.
4*(d - 12)*(d + 22)*(d + 61)
Solve 3*o**4/8 - 12*o**3 - 549*o**2/8 - 123*o/4 + 111 = 0 for o.
-4, -2, 1, 37
Find t, given that -4*t**2 - 4250304*t - 1129067755776 = 0.
-531288
Find z such that 2*z**2/3 + 502*z/3 + 30488/3 = 0.
-148, -103
Find o, given that 4*o**3/7 - 1436*o**2/7 + 5696*o/7 - 5680/7 = 0.
2, 355
What is r in 4*r**5 - 36*r**4 + 93*r**3 - 22*r**2 - 111*r - 36 = 0?
-1/2, 3, 4
Find k such that -4*k**2 - 500*k + 27224 = 0.
-166, 41
Factor -2*q**3/7 - 2018*q**2/7 - 20030*q/7 - 49950/7.
-2*(q + 5)**2*(q + 999)/7
Factor -3*z**2 + 1153386*z - 110858272083.
-3*(z - 192231)**2
Determine r, given that -r**5 + 224*r**4 - 14561*r**3 + 223546*r**2 - 751740*r - 2517768 = 0.
-2, 11, 102
Factor 3*i**3 + 16428*i**2 - 993780*i + 14947200.
3*(