etermine w, given that w**4/6 - 41*w**3/6 - 1161*w**2/2 + 8417*w/6 + 61705/3 = 0.
-43, -5, 7, 82
Let 15*l**4 - 2587791*l**3 - 19667886*l**2 - 33125280*l + 16562592 = 0. What is l?
-4, 2/5, 172527
Suppose -2*t**2/21 - 51670412*t/21 - 333728934531218/21 = 0. What is t?
-12917603
Factor 3*q**3 - 16500*q**2 + 1172661*q - 1156164.
3*(q - 5428)*(q - 71)*(q - 1)
Factor 2*b**2/7 - 20420396*b/7 + 52124071599602/7.
2*(b - 5105099)**2/7
Let -2*z**5/5 + 2692*z**4/5 - 2688*z**3/5 - 2692*z**2/5 + 538*z = 0. Calculate z.
-1, 0, 1, 1345
Factor 5*x**4 - 2965*x**3 - 21490*x**2 + 294000*x.
5*x*(x - 600)*(x - 7)*(x + 14)
Find v such that v**4/2 - 261*v**3/2 - 11241*v**2/2 + 5428049*v/2 - 69028806 = 0.
-141, 28, 187
Solve p**4/3 + 110686*p**3/3 + 3064839349*p**2/3 + 36742217700*p + 330572407500 = 0.
-55325, -18
Factor -3*v**2 + 6872223*v + 20616696.
-3*(v - 2290744)*(v + 3)
Factor -4*q**2 - 269812*q - 1348960.
-4*(q + 5)*(q + 67448)
Factor -4*x**2 + 45444*x + 90904.
-4*(x - 11363)*(x + 2)
Factor 2*c**3 + 37652*c**2 - 489754*c + 1130340.
2*(c - 10)*(c - 3)*(c + 18839)
Solve 3*j**4/5 + 195996*j**3/5 + 16637727*j**2/5 - 16833726*j/5 = 0.
-65247, -86, 0, 1
Factor 5*x**4 - 1925460*x**3 + 185371736030*x**2 - 370737695700*x + 185367885125.
5*(x - 192545)**2*(x - 1)**2
Factor 4*s**3 - 416*s**2 + 11024*s - 37696.
4*(s - 62)*(s - 38)*(s - 4)
Determine z, given that 2*z**2/9 + 19456*z/3 - 4858322/9 = 0.
-29267, 83
Solve -4*f**3/5 + 168*f**2/5 + 6336*f/5 = 0.
-24, 0, 66
Suppose 10*v**3/9 + 8978*v**2/9 + 69536*v/9 + 103240/9 = 0. What is v?
-890, -29/5, -2
Let 3*l**3/7 - 2802*l**2/7 + 481155*l/7 - 8151000/7 = 0. Calculate l.
19, 200, 715
Determine v so that v**5/8 - 59*v**4/8 + 1255*v**3/8 - 11297*v**2/8 + 9325*v/2 - 3400 = 0.
1, 5, 16, 17, 20
Factor 3*d**2/5 + 26572404*d/5 + 58841054528268/5.
3*(d + 4428734)**2/5
Let -v**4/10 - 2054421*v**3/10 - 527575055957*v**2/5 + 5803439636448*v/5 - 1055172710656 = 0. Calculate v.
-1027216, 1, 10
Find b, given that -b**3/2 - 2431501*b**2 + 38904065*b/2 - 36472575 = 0.
-4863010, 3, 5
Solve -4*d**2/7 - 7164388*d + 50150720/7 = 0.
-12537680, 1
Determine y, given that 4*y**3 - 1084*y**2 + 60860*y + 1367548 = 0.
-17, 119, 169
Factor -4*d**2 - 106253312*d - 705610394435584.
-4*(d + 13281664)**2
Let 4*z**4 - 41460*z**3 - 4355108*z**2 + 41460*z + 4355104 = 0. What is z?
-104, -1, 1, 10469
Determine a so that -922*a**2 - 120294*a + 63928 = 0.
-131, 244/461
Factor -2*v**2/9 - 1426060*v/9 - 254205890450/9.
-2*(v + 356515)**2/9
Suppose a**2 - 277399*a + 43526994 = 0. Calculate a.
157, 277242
Factor -2*z**2 + 179510*z + 359028.
-2*(z - 89757)*(z + 2)
Let -21168*k**4 - 2796696*k**3 + 5340309*k**2 + 665460*k + 20100 = 0. What is k?
-134, -5/84, 2
Let -4*x**3 - 24820*x**2 - 1231384*x - 2363520 = 0. What is x?
-6155, -48, -2
Factor -h**2 - 83799*h/4 + 1614613/4.
-(h + 20969)*(4*h - 77)/4
Find k such that 2*k**4/21 - 3606*k**3/7 - 75954*k**2/7 - 153626*k/3 + 438020/7 = 0.
-11, 1, 5430
Let -3*i**3/2 + 11433*i**2/2 - 978429*i + 11756784 = 0. What is i?
13, 166, 3632
Suppose -y**2/3 - 791*y/3 + 78320/3 = 0. Calculate y.
-880, 89
Find u, given that 4*u**4 + 1432712*u**3 + 128291479668*u**2 - 5730848*u - 513165918736 = 0.
-179089, -2, 2
Let 3*m**4 + 280350*m**3 + 4204719*m**2 + 13454448*m - 17939520 = 0. Calculate m.
-93435, -8, 1
Solve -69*p**3/7 + 7127*p**2 - 507258*p + 102880/7 = 0 for p.
2/69, 80, 643
Solve -28*b**3 + 95530642*b**2/3 + 43216262*b/3 - 758180 = 0.
-1/2, 1/21, 1137270
Factor -3742*z**2 - 621173*z/2 - 83/2.
-(z + 83)*(7484*z + 1)/2
Solve 3*z**3/5 - 225864*z**2/5 - 1174797*z - 38184198/5 = 0 for z.
-13, 75314
Solve 2*b**4/9 - 1310*b**3/9 - 2026190*b**2/9 - 6069370*b/9 - 449388 = 0.
-729, -2, -1, 1387
Suppose -3*a**2 + 6335283*a - 6335280 = 0. What is a?
1, 2111760
Find o such that -o**3/5 - 353*o**2 + 70318*o/5 - 68552/5 = 0.
-1804, 1, 38
Factor 60*k**2/7 - 40888011*k/7 - 6133203/7.
3*(k - 681467)*(20*k + 3)/7
Find s such that -4*s**4 + 479228*s**3 - 2396064*s**2 + 2875248*s = 0.
0, 2, 3, 119802
Suppose -p**3/2 - 1557*p**2/2 + 17397996*p - 31715987842 = 0. What is p?
-7409, 2926
Factor k**3/5 + 420*k**2 + 352908*k/5 + 697424/5.
(k + 2)*(k + 182)*(k + 1916)/5
Find g, given that -2*g**5/3 - 5*g**4 + 500*g**3/3 + 3145*g**2/3 - 5980*g + 19604/3 = 0.
-13, 2, 29/2
Determine y, given that -8*y**5/7 + 24182*y**4 - 1564952*y**3/7 - 447162*y**2 - 1395900*y/7 = 0.
-1, -3/4, 0, 11, 21150
Let 83*b**2 - 942*b - 19448 = 0. What is b?
-884/83, 22
Solve 2*z**3/5 - 6126978*z**2/5 - 6126984*z/5 + 2450792 = 0.
-2, 1, 3063490
Solve -w**2 + 30247*w + 1848788 = 0 for w.
-61, 30308
Determine c so that -3*c**2 + 153399*c + 163737702 = 0.
-1046, 52179
Factor 2*p**3 + 44456*p**2 - 14339256*p.
2*p*(p - 318)*(p + 22546)
Solve 67*l**5 - 2827*l**4/9 - 31141*l**3/9 - 1271*l**2/3 + 30538*l/9 + 6640/9 = 0.
-5, -1, -2/9, 1, 664/67
Factor r**2 - 54143*r + 162420.
(r - 54140)*(r - 3)
Factor 2*n**2/5 - 1049854*n/5 - 1049856/5.
2*(n - 524928)*(n + 1)/5
Suppose -4*g**2/9 + 509896*g/9 + 7656540 = 0. Calculate g.
-135, 127609
Determine h, given that 283483*h**2/3 + 566906*h/9 - 40/9 = 0.
-2/3, 20/283483
Determine i, given that 85*i**5 - 16035580*i**4 - 563236315*i**3 - 66041150*i**2 = 0.
-35, -2/17, 0, 188689
Factor -2*k**2/17 - 15613390*k/17 - 312267000/17.
-2*(k + 20)*(k + 7806675)/17
Find a such that 3*a**2 + 1554*a + 92943 = 0.
-449, -69
Let -564*h**2 - 245068*h + 118320 = 0. What is h?
-435, 68/141
Suppose -5*z**4 - 49630*z**3 + 18979455*z**2 - 1800005600*z + 3524490500 = 0. Calculate z.
-10298, 2, 185
Find i such that 4941*i**3 - 59290*i**2 - 222369*i - 90 = 0.
-3, -2/4941, 15
Find j, given that -2*j**3 + 1394456*j**2 - 243069019720*j + 1944462913600 = 0.
8, 348610
Solve -450*c**4 - 3717663*c**3 - 112864362*c**2 + 60423585*c - 1530966 = 0 for c.
-8231, -31, 2/75, 1/2
Determine y, given that y**4/5 - 3896*y**3 + 94750632*y**2/5 + 1139424352*y/5 + 379938064 = 0.
-10, -2, 9746
Determine r, given that 3*r**2/4 + 7749639*r/2 + 20018968210107/4 = 0.
-2583213
Find m such that m**5/4 + 1779*m**4 + 42669*m**3/4 + 31995*m**2/2 = 0.
-7110, -3, 0
Solve 5*w**2/3 - 14937470*w + 33469201500135 = 0 for w.
4481241
Solve 2*a**5 - 630*a**4 - 12422*a**3 + 144054*a**2 + 155844*a = 0.
-26, -1, 0, 9, 333
Factor g**3 + 36214*g**2 - 760935*g.
g*(g - 21)*(g + 36235)
Find s such that 3*s**4/2 - 6579*s**3/2 - 12203253*s**2 + 48852438*s - 48865572 = 0.
-1962, 2, 4151
Factor -3*n**2 - 72317322*n - 435816255104307.
-3*(n + 12052887)**2
Determine u, given that 357*u**3 - 65160*u**2 - 508092*u + 150480 = 0.
-132/17, 2/7, 190
Determine h, given that 2*h**3 + 21632*h**2 + 496430*h - 518064 = 0.
-10793, -24, 1
Factor -3*h**2/5 + 44424552*h/5 - 164461735033392/5.
-3*(h - 7404092)**2/5
Find m such that 2*m**2/3 - 18729448*m/3 + 43849027798088/3 = 0.
4682362
Let -3*y**4 - 7071*y**3 - 406914*y**2 - 385716*y + 799704 = 0. What is y?
-2298, -58, -2, 1
Suppose 12*d**5/5 - 171891*d**4/5 - 3915084*d**3/5 - 23628486*d**2/5 - 14677344*d/5 + 5207961/5 = 0. Calculate d.
-11, -1, 1/4, 14347
Factor -3*q**4/5 + 25737*q**3/5 + 102996*q**2/5.
-3*q**2*(q - 8583)*(q + 4)/5
Solve i**3/4 + 11643*i**2/2 + 122955969*i/4 - 37502287454 = 0.
-12151, 1016
Determine l so that -6*l**4/7 - 3366*l**3/7 + 41082*l**2/7 - 99954*l/7 - 20628 = 0.
-573, -1, 6, 7
Factor 3*k**3 + 9282*k**2 + 5407155*k + 884090376.
3*(k + 351)**2*(k + 2392)
Factor -2005*w**2 - 3616*w + 5621.
-(w - 1)*(2005*w + 5621)
What is m in 4*m**2 - 11352*m - 885856 = 0?
-76, 2914
Factor 5*a**4 + 2072530*a**3 + 214381117245*a**2 - 80396091538400*a + 7523817020192000.
5*(a - 187)**2*(a + 207440)**2
Let -z**2/6 + 3512446*z/3 + 7024895/2 = 0. What is z?
-3, 7024895
Let -5*q**2/2 + 480*q + 1053725/2 = 0. Calculate q.
-373, 565
Determine a so that -a**2/3 + 3354962*a = 0.
0, 10064886
Solve -14*a**2 - 328984*a - 986826 = 0 for a.
-164471/7, -3
Suppose -5*i**3 - 465335*i**2 - 10960290440*i - 6190979316720 = 0. What is i?
-46244, -579
Let -335*j**5 + 10721*j**4 - 104552*j**3 + 300472*j**2 - 263536*j + 784 = 0. Calculate j.
1/335, 2, 14
Determine h, given that -h**5 - 638*h**4 - 22533*h**3 - 177148*h**2 + 449548*h = 0.
-601, -22, -17, 0, 2
Let -w**2/2 - 46948052*w - 1102059793297352 = 0. Calculate w.
-46948052
Suppose -2*m**4 + 4652*m**3 + 18746*m**2 - 246644*m - 782880 = 0. What is m?
-8