**2 - 851*x + 852 = 0.
-852, 1
Factor -5*x**2 + 48610*x - 194360.
-5*(x - 9718)*(x - 4)
Suppose -3*w**4 - 210*w**3 - 2052*w**2 - 6270*w - 4425 = 0. What is w?
-59, -5, -1
What is z in 5*z**2 - 5285*z - 15900 = 0?
-3, 1060
Factor r**2/3 - 2048*r - 86212/3.
(r - 6158)*(r + 14)/3
Factor -j**3 + 1984*j**2 + 16*j - 31744.
-(j - 1984)*(j - 4)*(j + 4)
Factor k**2 - 7665*k - 69066.
(k - 7674)*(k + 9)
Factor z**3/2 - 3085*z**2 + 12333*z/2 + 9252.
(z - 6168)*(z - 3)*(z + 1)/2
Factor -4*s**2 - 129528*s - 647540.
-4*(s + 5)*(s + 32377)
Determine m, given that -11*m**4 - 2594*m**3 + 483*m**2 + 2594*m - 472 = 0.
-236, -1, 2/11, 1
Solve -4*l**4/3 - 435416*l**3/3 - 11849193316*l**2/3 = 0 for l.
-54427, 0
Let -2*n**5 - 44*n**4 - 26*n**3 + 3208*n**2 + 6328*n + 3136 = 0. What is n?
-14, -1, 8
Factor 3*a**2/7 + 165*a/7 - 450.
3*(a - 15)*(a + 70)/7
Suppose 132*x**3 - 13467*x**2/2 + 49785*x/2 - 282 = 0. What is x?
1/88, 4, 47
Find o, given that -2*o**4/13 + 432*o**3/13 - 6022*o**2/13 - 1728*o/13 + 24120/13 = 0.
-2, 2, 15, 201
Find l, given that -6*l**5 + 81*l**4 + 2528*l**3/3 + 4565*l**2/3 + 1250*l/3 = 0.
-5, -2, -1/3, 0, 125/6
Factor -2*o**4 - 116*o**3 + 878*o**2 - 2056*o + 1560.
-2*(o - 3)*(o - 2)**2*(o + 65)
Determine x so that -648*x**4/5 + 9900*x**3 - 2005177*x**2/10 + 437525*x - 2531281/10 = 0.
43/36, 37
Factor p**2/6 + 281*p/6 + 1435.
(p + 35)*(p + 246)/6
Let 3*m**4/2 + 315*m**3 - 18*m**2 - 3756*m + 5040 = 0. Calculate m.
-210, -4, 2
Determine s, given that -4*s**3 + 13284*s**2 - 26556*s + 13276 = 0.
1, 3319
Determine i, given that -7*i**4/6 - 2396*i**3/3 - 7247*i**2/2 + 6470*i/3 + 6800/3 = 0.
-680, -5, -4/7, 1
Factor v**2 + 1046*v/3 + 1735/3.
(v + 347)*(3*v + 5)/3
Suppose -2*p**5/13 + 63082*p**4/13 - 497322710*p**3/13 - 1492346642*p**2/13 - 1492472816*p/13 - 497511968/13 = 0. What is p?
-1, 15772
Factor -3*u**3 - 648*u**2 + 20244*u + 331056.
-3*(u - 38)*(u + 12)*(u + 242)
Suppose 4*g**5 + 172*g**4 - 42752*g**3 - 2222544*g**2 + 19783296*g - 40884480 = 0. Calculate g.
-78, 4, 105
Let 5*g**4 - 19770*g**3 + 21701405*g**2 - 4267868520*g + 233012236880 = 0. What is g?
116, 1861
Determine p so that -2*p**3/5 - 200286*p**2/5 - 5013809472*p/5 + 5014810952 = 0.
-50074, 5
Factor 4*o**3 + 480*o**2 + 3648*o - 739328.
4*(o - 32)*(o + 76)**2
Factor 2*r**2/7 - 14120*r/7 + 24921800/7.
2*(r - 3530)**2/7
Solve -f**2 + 6098*f + 85568 = 0 for f.
-14, 6112
Factor 8*i**2/3 - 24686*i/3 + 6170.
2*(i - 3085)*(4*i - 3)/3
Let -3*b**4 - 1227*b**3 + 104526*b**2 - 496608*b + 393312 = 0. Calculate b.
-482, 1, 4, 68
Find o such that -14*o**5/9 + 164*o**4/9 - 224*o**3/9 - 1984*o**2/9 + 2560*o/9 + 8192/9 = 0.
-16/7, -2, 4, 8
Suppose 5*c**2 - 716270*c + 25652135645 = 0. Calculate c.
71627
Solve -c**3/3 + 250*c**2/3 - 4787*c/3 - 5038/3 = 0 for c.
-1, 22, 229
Determine d so that 2*d**3/7 - 156*d**2 + 4342*d/7 - 3252/7 = 0.
1, 3, 542
Let x**2/7 - 1837*x/7 - 1052 = 0. Calculate x.
-4, 1841
Find h such that 27378*h**2/7 - 21528*h/7 + 4232/7 = 0.
46/117
Factor 2*g**3 - 66*g**2 - 48*g + 8120.
2*(g - 29)*(g - 14)*(g + 10)
Suppose -20*f**4/7 - 1112*f**3/7 + 45840*f**2/7 - 354600*f/7 - 229500/7 = 0. What is f?
-85, -3/5, 15
Factor -3*m**2 + 200454*m + 200457.
-3*(m - 66819)*(m + 1)
Factor -3*x**2 + 628314*x - 628311.
-3*(x - 209437)*(x - 1)
Factor -9*z**4 - 195483*z**3 - 65160*z**2.
-3*z**2*(z + 21720)*(3*z + 1)
Factor -4*p**2/7 - 1464*p/7 - 95540/7.
-4*(p + 85)*(p + 281)/7
Factor -2*d**3/3 - 2858*d**2/3 - 1058510*d/3 - 8845218.
-2*(d + 27)*(d + 701)**2/3
Factor 1728*q**4/5 + 13392*q**3 - 92700*q**2 + 199375*q - 140625.
(q + 45)*(12*q - 25)**3/5
Determine t so that -2*t**2 - 236*t - 3600 = 0.
-100, -18
Factor 2*o**2/7 + 2176*o/7 + 23694/7.
2*(o + 11)*(o + 1077)/7
Factor 2*s**3 + 62090*s**2 + 481864966*s - 481927058.
2*(s - 1)*(s + 15523)**2
Factor -2*u**2 + 256732*u - 8238914978.
-2*(u - 64183)**2
What is d in 34*d**4/9 - 40*d**3/9 - 416*d**2/3 + 640*d/9 + 11264/9 = 0?
-4, 4, 88/17
Factor -s**3 - 62*s**2 + 473*s - 690.
-(s - 5)*(s - 2)*(s + 69)
Suppose -4*t**5 - 472*t**4 + 972*t**3 + 1440*t**2 = 0. Calculate t.
-120, -1, 0, 3
Determine o, given that o**3/4 + 2513*o**2/4 + 1255*o/2 - 1256 = 0.
-2512, -2, 1
Factor -70*q**3 + 4621*q**2 + 14424*q - 207.
-(q - 69)*(q + 3)*(70*q - 1)
Solve -3*m**4/2 + 450*m**3 - 46617*m**2/2 + 345510*m - 322650 = 0.
1, 30, 239
Let -5*j**5 - 1115*j**4 + 9210*j**3 - 7130*j**2 - 46325*j - 28875 = 0. Calculate j.
-231, -1, 5
Suppose 2*j**4/5 - 224*j**3 + 165406*j**2/5 - 2383808*j/5 + 443904 = 0. Calculate j.
1, 15, 272
Find j, given that -3*j**4 + 33*j**3 + 72*j**2 - 432*j = 0.
-4, 0, 3, 12
Solve 88000*a**5 + 372400*a**4 + 346455*a**3 + 64630*a**2 + 2605*a + 30 = 0.
-3, -1, -2/11, -1/40
Factor 5*x**3/2 + 325*x**2/2 + 5635*x/2 + 29315/2.
5*(x + 11)*(x + 13)*(x + 41)/2
Factor -a**4/4 + 1973*a**3/2 + 27671*a**2/4.
-a**2*(a - 3953)*(a + 7)/4
Let -3*p**5/4 - 36*p**4 + 3081*p**3/4 - 7395*p**2/2 + 6759*p - 4290 = 0. Calculate p.
-65, 2, 11
Factor -3*n**2/7 + 7719*n/7 + 7722/7.
-3*(n - 2574)*(n + 1)/7
Determine g, given that 2*g**5/9 - 46*g**4/9 + 26*g**3 + 574*g**2/9 - 2828*g/9 - 1040/3 = 0.
-3, -1, 4, 10, 13
Determine v so that -v**2/10 + 116177*v/10 = 0.
0, 116177
Factor w**2 - 1117*w - 9000.
(w - 1125)*(w + 8)
Factor -h**3 - 180349*h**2 + 360701*h - 180351.
-(h - 1)**2*(h + 180351)
Suppose -2*s**3 - 288*s**2 + 1832*s + 4800 = 0. Calculate s.
-150, -2, 8
Suppose l**2 - 8410*l + 17682025 = 0. Calculate l.
4205
Find h such that h**5/3 - 5022*h**4 + 75646376*h**3/3 - 126505812130*h**2/3 - 126833869283*h + 506931788668/3 = 0.
-4, 1, 5023
Factor -14043*d**4/7 + 140436*d**3/7 - 351135*d**2/7 + 150*d/7.
-3*d*(d - 5)**2*(4681*d - 2)/7
Find c, given that 4*c**2/7 + 112048*c/7 - 2691456/7 = 0.
-28036, 24
Let 3*o**4 - 63948*o**3 + 255744*o**2 = 0. What is o?
0, 4, 21312
Suppose -2*c**5/3 - 181*c**4/3 - 3683*c**3/3 - 5123*c**2/3 + 89*c/3 + 1708/3 = 0. What is c?
-61, -28, -1, 1/2
Find w such that -w**3 + 85*w**2 + 5768*w - 11868 = 0.
-46, 2, 129
What is c in -4*c**3 + 884*c**2 - 62300*c + 1362412 = 0?
43, 89
Factor 2*h**2/23 + 1484*h/23 - 2976/23.
2*(h - 2)*(h + 744)/23
Determine n, given that 2*n**4/7 + 638*n**3/7 - 1356*n**2/7 - 22968*n/7 + 46224/7 = 0.
-321, -6, 2, 6
Factor -3*v**4 + 2826*v**3 + 17028*v**2 + 34104*v + 22752.
-3*(v - 948)*(v + 2)**3
Determine c, given that -4*c**5 - 248*c**4 + 1924*c**3 - 664*c**2 - 7632*c + 6624 = 0.
-69, -2, 1, 2, 6
Factor -y**4/4 + 12696*y**3 - 161264574*y**2 + 1933803936*y - 5800040964.
-(y - 25386)**2*(y - 6)**2/4
What is m in 2*m**4/15 - 40*m**3 - 27202*m**2/5 - 161404*m/15 - 5360 = 0?
-100, -1, 402
Suppose 2*j**3/3 + 1156*j**2/3 + 39594*j - 122268 = 0. What is j?
-443, -138, 3
Factor 16*o**5/5 - 36*o**4/5 + 12*o**3/5 + 4*o**2 - 12*o/5.
4*o*(o - 1)**3*(4*o + 3)/5
Determine n so that -3*n**2/5 + 603*n/5 + 167076/5 = 0.
-156, 357
Factor -o**5/3 - 71*o**4/3 + 1435*o**3 - 16611*o**2.
-o**2*(o - 21)**2*(o + 113)/3
Factor 2*g**4 - 13274*g**3 + 13272*g**2.
2*g**2*(g - 6636)*(g - 1)
Suppose -2*d**3/9 - 12908*d**2/3 - 68800*d - 2476288/9 = 0. What is d?
-19346, -8
Suppose 3*f**3/2 + 66681*f**2/2 - 33345*f - 66684 = 0. What is f?
-22228, -1, 2
Factor -4*w**2 - 16828272*w - 17699421156624.
-4*(w + 2103534)**2
Factor -n**3/2 + 258*n**2 - 21573*n/2 - 11045.
-(n - 470)*(n - 47)*(n + 1)/2
Factor 3*t**3/5 - 20934*t**2/5 - 3*t/5 + 20934/5.
3*(t - 6978)*(t - 1)*(t + 1)/5
What is l in -l**4/2 - 189*l**3/2 - 1107*l**2/2 - 1647*l/2 = 0?
-183, -3, 0
Let -3*h**5/4 - 96*h**4 + 903*h**3 - 5901*h**2/2 + 15975*h/4 - 3699/2 = 0. Calculate h.
-137, 1, 2, 3
What is i in -2*i**4 + 654*i**3 - 68792*i**2 + 2241336*i + 10108384 = 0?
-4, 94, 143
What is r in -3*r**2 + 69*r + 12084 = 0?
-53, 76
Let 6*x**5 - 1556*x**4 - 10582*x**3 - 15452*x**2 + 6384*x = 0. Calculate x.
-4, -3, 0, 1/3, 266
Solve 5*s**4/4 + 45*s**3/4 - 1395*s**2/4 - 2905*s/4 - 735/2 = 0.
-21, -1, 14
Let 2*p**2 - 3604*p - 3606 = 0. Calculate p.
-1, 1803
What is u in u**3 - 660*u**2 - 16468*u + 35568 = 0?
-26, 2, 684
Find u such that 22*u**3 + 171564*u**2 + 343062*u + 171520 = 0.
-85760/11, -1
Let -2*l**2/3 + 748*l/3 + 13294/3 = 0. What is l?
-17, 391
Factor -9*j**5/2 + 2*j**4 + 35*j**3/2 + 11*j**2.
-j**2*(j + 1)**2*(9*j - 22)/2
Factor -4*h**2 + 1512528*h - 142983809424.
-4*(h - 189066)**2
Let -2*j**5/5 + 4*j**4/5 + 34*j*