ppose 5*t**5 - 51265*t**4 - 51280*t**3 + 102540*t**2 = 0. What is t?
-2, 0, 1, 10254
Solve 3*n**3/2 - 1887*n**2/2 + 11160*n - 33318 = 0 for n.
6, 617
Factor 1024*w**4 + 556672*w**3 - 208848*w**2 + 26110*w - 1088.
2*(w + 544)*(8*w - 1)**3
Factor -s**2/4 + 545*s/4 + 2775/2.
-(s - 555)*(s + 10)/4
Find t, given that 3*t**4/8 + 3045*t**3/8 - 3051*t**2/8 - 3045*t/8 + 381 = 0.
-1016, -1, 1
Solve 20*z**4 - 952*z**3 - 14084*z**2 - 47480*z - 16800 = 0 for z.
-7, -5, -2/5, 60
Suppose -3*w**2 - 5988*w - 65505 = 0. Calculate w.
-1985, -11
What is h in -h**4/3 + 56*h**3/3 - 69*h**2 - 56*h/3 + 208/3 = 0?
-1, 1, 4, 52
Factor 4*h**2/7 + 9808*h/7 + 22272.
4*(h + 16)*(h + 2436)/7
Factor 5*q**2/3 - 25480*q/3 + 101680.
5*(q - 5084)*(q - 12)/3
Find s such that s**4/5 - 59*s**3/5 + 881*s**2/5 - 2389*s/5 - 666 = 0.
-1, 5, 18, 37
Factor 3*j**2/4 - 1134*j - 41067/4.
3*(j - 1521)*(j + 9)/4
Factor -5*v**2 + 24425*v - 534930.
-5*(v - 4863)*(v - 22)
Find q such that q**2/9 + 588106*q/9 + 86467166809/9 = 0.
-294053
Let 3*g**2 - 14559*g + 14556 = 0. What is g?
1, 4852
Factor -2*l**3/5 - 854*l**2/5 + 516*l.
-2*l*(l - 3)*(l + 430)/5
Determine i so that i**5/4 - 67*i**4/4 + 29*i**3/2 + 1274*i**2 - 6920*i + 10400 = 0.
-10, 4, 65
Suppose 8*q**4 - 2222*q**3 + 35068*q**2 - 24502*q - 8352 = 0. What is q?
-1/4, 1, 16, 261
Find c, given that 3*c**3 - 12990*c**2 + 12523875*c + 3415912500 = 0.
-220, 2275
Determine o, given that 2*o**2/7 + 100*o/7 - 18352/7 = 0.
-124, 74
Suppose -3*u**5/7 - 138*u**4 - 273*u**3 + 2892*u**2/7 + 3828*u/7 - 3840/7 = 0. What is u?
-320, -2, 1
Factor -4*d**2 - 6016*d - 59760.
-4*(d + 10)*(d + 1494)
Solve -3*r**3 + 92241*r**2 - 708987384*r - 709079628 = 0.
-1, 15374
What is j in 300*j**4 - 4245*j**3 - 70203*j**2 - 266952*j - 308700 = 0?
-21/4, -14/5, 25
Let 121*f**5/7 - 62733*f**4/7 + 8145234*f**3/7 - 3659938*f**2/7 - 545565*f - 86247 = 0. What is f?
-3/11, 1, 259
Factor s**4 - 1512*s**3 + 551541*s**2 + 15117002*s + 99348648.
(s - 769)**2*(s + 12)*(s + 14)
Factor i**2/4 + 15193*i/4 + 3798.
(i + 1)*(i + 15192)/4
Determine d so that 6*d**5 + 75*d**4/2 - 585*d**3/2 + 555*d**2/2 + 933*d/2 - 495 = 0.
-11, -5/4, 1, 2, 3
Factor 4*u**2/9 + 3884*u/3 - 23320/9.
4*(u - 2)*(u + 2915)/9
Let -3*h**2/2 - 54*h + 615/2 = 0. Calculate h.
-41, 5
Factor y**3 - 9777*y**2 - 9780*y + 19556.
(y - 9778)*(y - 1)*(y + 2)
Suppose 3*b**3/5 + 11262*b**2/5 + 11259*b/5 = 0. What is b?
-3753, -1, 0
Factor -2*v**3/7 + 1082*v**2/7 - 1824*v + 38088/7.
-2*(v - 529)*(v - 6)**2/7
Suppose -a**4 - 35*a**3/4 + 385*a**2 - 6835*a/4 - 3003/2 = 0. Calculate a.
-26, -3/4, 7, 11
Factor j**2/4 - 1215*j/2 + 43586.
(j - 2356)*(j - 74)/4
Factor 9*d**3/7 - 78657*d**2 - 734144*d/7 - 244716/7.
(d - 61179)*(3*d + 2)**2/7
Determine p so that p**4/4 + 5*p**3/2 - 207*p**2/4 - 171*p = 0.
-19, -3, 0, 12
Solve -r**2 + 35433*r + 35434 = 0.
-1, 35434
Factor 2*x**3/17 - 1174*x**2/17 - 32*x/17 + 18784/17.
2*(x - 587)*(x - 4)*(x + 4)/17
Factor f**2/3 - 32561*f/3 - 10854.
(f - 32562)*(f + 1)/3
Let -50*o**5 - 29701*o**4 - 4642244*o**3 - 68759233*o**2 - 268640528*o - 5345344 = 0. What is o?
-289, -8, -1/50
Factor -3*d**2/4 + 27*d + 1911/4.
-3*(d - 49)*(d + 13)/4
Factor -3*r**3/7 + 444*r**2/7 + 3279*r/7 - 3720/7.
-3*(r - 155)*(r - 1)*(r + 8)/7
Determine x, given that -4*x**2/3 + 97272*x + 291820/3 = 0.
-1, 72955
Factor -4*p**3 - 775256*p**2 - 3100976*p - 3100960.
-4*(p + 2)**2*(p + 193810)
Determine r so that 2*r**2 + 276584*r + 276582 = 0.
-138291, -1
Solve 3*t**4/5 + 21*t**3 - 1209*t**2/5 - 42369*t/5 + 45414 = 0 for t.
-29, 5, 18
Find h, given that 11*h**5/6 - 149*h**4/2 + 310*h**3 - 424*h**2/3 - 96*h = 0.
-4/11, 0, 1, 4, 36
Determine s, given that -2*s**3 + 1156*s**2 - 16858*s - 18016 = 0.
-1, 16, 563
Factor -36*j**2/7 + 3628*j/7 + 808/7.
-4*(j - 101)*(9*j + 2)/7
Suppose -100*f**4 - 3195*f**3 + 22060*f**2 - 35295*f + 1710 = 0. Calculate f.
-38, 1/20, 3
Find s, given that -4*s**3/7 - 5488*s**2 - 92198388*s/7 + 184550472/7 = 0.
-4803, 2
Solve -2*v**4/7 - 1382*v**3 - 9670*v**2/7 + 1382*v + 9672/7 = 0 for v.
-4836, -1, 1
Find m such that m**2 - 49442*m = 0.
0, 49442
Suppose 2*h**4 - 98*h**3 + 1000*h**2 - 2344*h + 1440 = 0. Calculate h.
1, 2, 10, 36
Factor 2*n**2/5 + 56668*n/5 - 68016.
2*(n - 6)*(n + 28340)/5
Determine i, given that -2*i**3 + 256*i**2 - 8278*i + 8024 = 0.
1, 59, 68
Find t, given that 10*t**3/9 - 442*t**2/3 + 31496*t/9 = 0.
0, 31, 508/5
Factor -11*t**2 + 19479*t - 35380.
-(t - 1769)*(11*t - 20)
Factor 4*u**2 - 392*u - 5280.
4*(u - 110)*(u + 12)
Determine i, given that 7*i**3 + 773*i**2 + 5848*i + 11472 = 0.
-717/7, -4
Factor -2*c**2 - 292*c - 6240.
-2*(c + 26)*(c + 120)
Find u, given that 45*u**2 + 426918*u + 28461 = 0.
-9487, -1/15
Factor 4*n**3/5 + 1308*n**2/5 + 1528*n - 20544/5.
4*(n - 2)*(n + 8)*(n + 321)/5
Find k such that k**5/3 - 9*k**4 - 178*k**3 + 14618*k**2/3 + 1575*k - 43125 = 0.
-23, -3, 3, 25
Find t such that t**3 - 8*t**2 - 5964*t - 162288 = 0.
-42, 92
Find z, given that -3*z**4/4 + 48*z**3 - 90*z**2 - 19200*z - 127500 = 0.
-10, 34, 50
Solve 3*y**4 + 951*y**3 - 978*y**2 - 7596*y + 11448 = 0 for y.
-318, -3, 2
Let -3*n**5 - 87*n**4 + 60*n**3 + 16992*n**2 + 98496*n + 81648 = 0. Calculate n.
-18, -6, -1, 14
Factor -3*s**3 - 11595*s**2 - 11186256*s + 33663204.
-3*(s - 3)*(s + 1934)**2
Factor 16*r**4/17 - 25586*r**3/17 + 10217600*r**2/17 + 8960000*r/17.
2*r*(r - 800)**2*(8*r + 7)/17
Solve -o**3/4 - 166*o**2 - 12080*o - 233600 = 0 for o.
-584, -40
Factor -p**2/4 - 1367*p/2 + 41235/4.
-(p - 15)*(p + 2749)/4
Factor -5*t**4 - 119*t**3 + 1304*t**2 - 256*t.
-t*(t - 8)*(t + 32)*(5*t - 1)
Find p, given that -p**3 - 5428*p**2 - 7371221*p - 14720738 = 0.
-2713, -2
What is v in 7*v**4 - 338*v**3 + 2147*v**2 - 2308*v + 492 = 0?
2/7, 1, 6, 41
Factor -2*f**3/7 + 1306*f**2/7 - 36490*f + 1859186.
-2*(f - 287)**2*(f - 79)/7
Determine g so that 3*g**3/4 - 225*g**2/2 - 2781*g/4 - 1053 = 0.
-3, 156
Find z such that z**5 + 5457*z**4/5 + 1481797*z**3/5 - 3918169*z**2/5 - 7788186*z/5 - 2393672/5 = 0.
-547, -1, -2/5, 4
Solve 4*w**3 - 7760*w**2 - 31092*w - 23328 = 0 for w.
-3, -1, 1944
Find m, given that 4*m**5 - 66*m**4 + 314*m**3 - 366*m**2 - 270*m = 0.
-1/2, 0, 3, 5, 9
Determine r so that 3*r**2 - 337080*r + 337077 = 0.
1, 112359
Find u, given that 2*u**5/5 - 1338*u**4/5 - 21922*u**3/5 + 1338*u**2/5 + 4384*u = 0.
-16, -1, 0, 1, 685
Solve 44*x**4 - 6196*x**3/3 + 80936*x**2/3 - 186736*x/3 - 3872 = 0.
-2/33, 3, 22
Factor -5*a**3 + 1295*a**2 - 83200*a - 84500.
-5*(a - 130)**2*(a + 1)
Find j such that 5*j**3 + 100*j**2 - 1655*j + 1550 = 0.
-31, 1, 10
Factor t**3/6 - 69*t**2/2 + 396*t - 1170.
(t - 195)*(t - 6)**2/6
What is p in 2*p**3/7 - 48*p**2/7 - 11394*p/7 + 11440/7 = 0?
-65, 1, 88
Determine k so that k**2/3 - 35114*k + 526685/3 = 0.
5, 105337
Find b, given that 2*b**2 + 343170*b - 686348 = 0.
-171587, 2
Factor -v**2/3 + 10225*v - 61346/3.
-(v - 30673)*(v - 2)/3
Factor 3*b**3/7 - 237*b**2/7 + 276*b - 420.
3*(b - 70)*(b - 7)*(b - 2)/7
Factor -2*x**2 - 15554*x/5 + 87416/5.
-2*(x + 1561)*(5*x - 28)/5
What is l in 3*l**4 + 99*l**3 + 666*l**2 + 384*l - 1152 = 0?
-24, -8, -2, 1
Factor -5*r**2 + 70*r + 1035.
-5*(r - 23)*(r + 9)
Let 555458*i**3/13 + 1880336*i**2 + 185512*i/13 + 352/13 = 0. Calculate i.
-44, -2/527
What is m in 3*m**4/8 + 471*m**3/8 - 489*m**2/4 - 477*m = 0?
-159, -2, 0, 4
Let 15*v**3/8 - 279879*v**2/2 + 20888825139*v/8 - 4177675467/4 = 0. What is v?
2/5, 37317
Suppose 16*g**2/7 - 8740*g/7 + 36856/7 = 0. What is g?
17/4, 542
Solve -8*t**5/7 + 26*t**4/7 + 138*t**3/7 - 62*t**2 - 130*t/7 + 408/7 = 0.
-4, -1, 1, 3, 17/4
Find d such that 4*d**3/3 - 2932*d**2/3 - 264400*d/3 + 540496/3 = 0.
-83, 2, 814
Determine y so that -y**5 - 230*y**4 + 1913*y**3 + 2142*y**2 = 0.
-238, -1, 0, 9
Factor 45*z**3 - 63595*z**2 + 141120*z - 28220.
5*(z - 1411)*(z - 2)*(9*z - 2)
Factor 4*i**4 + 680*i**3 + 33888*i**2 + 456408*i + 1832220.
4*(i + 9)**2*(i + 65)*(i + 87)
Find y such that -2*y**4 + 457248*y**3/5 - 164602*y**2 - 182892*y/5 = 0.
-1/5, 0, 2, 45723
Let u**5 + 8475*u**4 + 17960637*u**3 + 17901325*u**2 - 107713014*u = 0. Calculate u.
-4237, -3, 0, 2
Determine d, given that d**3/2 + 85105*d**2/2 + 905378904*d + 905336352 = 0.
-42552, -1
Suppose q**4/6 - 425*q**3/3 + 170137*q**2/6 + 742900*q + 4583256 = 0. What is q?
-12, 437
Suppose -p**5/