*4 + 2053*w**3/5 - 6131*w**2/5 - 6214*w - 4600 = 0.
-92, -25, -2, -1, 5
Determine q so that -2*q**2/13 - 1109244*q/13 - 153802781442/13 = 0.
-277311
Let 39*w**3 - 2703*w**2 + 17010*w = 0. What is w?
0, 7, 810/13
Determine s, given that -10*s**5/7 - 748*s**4/7 + 922*s**3/7 + 748*s**2/7 - 912*s/7 = 0.
-76, -1, 0, 1, 6/5
Factor -l**3/6 - 6205*l**2/6 - 1034*l.
-l*(l + 1)*(l + 6204)/6
Let -2*a**3/11 - 380*a**2/11 + 17328*a/11 = 0. What is a?
-228, 0, 38
Find g such that -g**2/4 - 79*g/2 + 1155/4 = 0.
-165, 7
Determine d, given that -3*d**5 + 24*d**4 + 333*d**3 - 2706*d**2 + 5520*d - 3168 = 0.
-11, 1, 2, 4, 12
Factor 2*h**3/15 - 5876*h**2/15 - 47104*h/15 - 31424/5.
2*(h - 2946)*(h + 4)**2/15
Factor 5*v**4 - 88300*v**3 + 390726500*v**2 - 7788060000*v + 38896200000.
5*(v - 8820)**2*(v - 10)**2
What is u in -4*u**5 + 336*u**4 + 740*u**3 - 4512*u**2 + 3440*u = 0?
-5, 0, 1, 2, 86
Determine o so that 4*o**5 + 572*o**4 + 19512*o**3 - 71480*o**2 - 268348*o + 319740 = 0.
-73, -3, 1, 5
Factor 2*c**5/9 + 1588*c**4/9 + 1582*c**3/3.
2*c**3*(c + 3)*(c + 791)/9
Determine m so that m**3 - 16020*m**2 + 64160100*m = 0.
0, 8010
Find s such that -s**4 - 2909*s**3/6 - 5710*s**2 - 17054*s - 45392/3 = 0.
-2837/6, -8, -2
Suppose 3*w**3 - 21*w**2 - 161448*w - 161424 = 0. What is w?
-228, -1, 236
Let 2*k**3/3 - 65624*k**2/3 + 537788296*k/3 + 8621420672/3 = 0. What is k?
-16, 16414
Factor 2*y**3/11 + 842*y**2/11 + 8800*y + 1680000/11.
2*(y + 21)*(y + 200)**2/11
Factor 3*v**3 - 25254*v**2 - 3*v + 25254.
3*(v - 8418)*(v - 1)*(v + 1)
Factor -5*k**5 + 309030*k**4.
-5*k**4*(k - 61806)
Solve 625*h**3/7 - 3726*h**2/7 + 783*h + 216/7 = 0.
-24/625, 3
Suppose 5476*a**2 + 2513040*a + 288320400 = 0. What is a?
-8490/37
What is r in -r**2/5 - 17832*r/5 - 79495056/5 = 0?
-8916
Suppose 3*h**5 - 120*h**4 - 2301*h**3 + 87882*h**2 + 375060*h + 382200 = 0. What is h?
-26, -2, 35
Factor n**4/2 - 691*n**3/2 + 2067*n**2/2 - 2065*n/2 + 344.
(n - 688)*(n - 1)**3/2
Let -31*o**2/5 - 932*o/5 - 12 = 0. What is o?
-30, -2/31
Determine k so that k**3 - 25*k**2 - 164*k + 420 = 0.
-7, 2, 30
Factor 2*k**3 - 183834*k**2 - 367674*k - 183838.
2*(k - 91919)*(k + 1)**2
Determine n so that -3*n**4 - 66*n**3 - 75*n**2 + 900*n = 0.
-20, -5, 0, 3
Suppose 4*a**2 - 160804*a - 160808 = 0. What is a?
-1, 40202
Suppose -4*i**4 - 128*i**3 + 2884*i**2 + 13808*i - 16560 = 0. What is i?
-46, -5, 1, 18
Factor -m**3/4 - 2155*m**2 + 8623*m - 8624.
-(m - 2)**2*(m + 8624)/4
Factor -4*t**4 - 2332*t**3 + 4676*t**2 - 2340*t.
-4*t*(t - 1)**2*(t + 585)
Factor 5*r**2 - 465*r - 4040.
5*(r - 101)*(r + 8)
Let 6*v**3 - 149*v**2/5 - 145*v - 24/5 = 0. Calculate v.
-3, -1/30, 8
Factor -4*f**2/7 - 33896*f/7 - 33892/7.
-4*(f + 1)*(f + 8473)/7
Factor a**2/5 - 38027*a/5 - 76058/5.
(a - 38029)*(a + 2)/5
Let -t**5 - 244*t**4 - 13848*t**3 + 129888*t**2 + 154224*t - 2286144 = 0. What is t?
-126, -4, 6
What is x in x**5 - 261*x**4 + 257*x**3 + 781*x**2 - 258*x - 520 = 0?
-1, 1, 2, 260
Solve u**5 - 739*u**4 + 123736*u**3 + 4749144*u**2 + 32933520*u - 144824112 = 0.
-18, 3, 386
Factor -4*c**2 + 3164*c.
-4*c*(c - 791)
What is y in y**2/2 + 993*y/2 + 11628 = 0?
-969, -24
Factor -8*y**2 - 2618356*y + 1309180.
-4*(y + 327295)*(2*y - 1)
Let 4*v**2 + 72760*v/7 - 145632/7 = 0. Calculate v.
-18204/7, 2
Factor -3*u**2 - 5628924*u - 2640398783148.
-3*(u + 938154)**2
Solve 2*m**4/9 + 4142*m**3/9 + 367720*m**2/9 - 371864*m/9 = 0 for m.
-1978, -94, 0, 1
Let c**4 + 238*c**3 + 13920*c**2 - 28800*c = 0. What is c?
-120, 0, 2
Let 2*u**5 - 370*u**4 + 2474*u**3 + 3218*u**2 - 2476*u - 2848 = 0. Calculate u.
-1, 1, 8, 178
Factor 2*h**2 - 650*h + 3828.
2*(h - 319)*(h - 6)
Factor -4*s**3 + 138900*s**2 - 833292*s + 1249884.
-4*(s - 34719)*(s - 3)**2
Determine c so that c**5 + 5255*c**4 - 13*c**3 - 68315*c**2 + 36*c + 189180 = 0.
-5255, -3, -2, 2, 3
Solve 5*c**5/6 - 2320*c**4/3 - 35240*c**3/3 - 115375*c**2/3 - 268645*c/6 - 51865/3 = 0.
-11, -2, -1, 943
Find g such that -42*g**5 + 1459*g**4/2 + 6529*g**3 + 3746*g**2 - 612*g - 288 = 0.
-6, -2/3, -1/4, 2/7, 24
Factor -16*n**3/9 + 156632*n**2/9 - 78313*n/9 + 3263/3.
-(n - 9789)*(4*n - 1)**2/9
What is d in 72*d**4 - 80*d**3 - 27142*d**2/9 + 3022*d/9 - 28/3 = 0?
-6, 1/18, 7
Suppose s**4/3 - 121*s**3 + 2776*s**2 - 65600*s/3 + 57856 = 0. Calculate s.
8, 339
Solve -3*v**2 + 100503*v - 100500 = 0.
1, 33500
Determine t, given that 2*t**3 - 1052*t**2 - 15022*t - 52920 = 0.
-7, 540
Determine h so that -24*h**5 + 33836*h**4 + 587880*h**3 + 63200*h**2 - 587856*h - 97036 = 0.
-17, -1, -1/6, 1, 1427
Find v such that -v**4/3 + 5001*v**3/2 - 28147495*v**2/6 + 7025000*v + 11718750 = 0.
-1, 5/2, 3750
Determine q, given that 5*q**2 + 5505*q - 5510 = 0.
-1102, 1
Determine t so that -5*t**4/2 - 15*t**3 + 35*t**2/2 + 90*t - 90 = 0.
-6, -3, 1, 2
Factor -245*d**3/4 - 2889705*d**2/2 + 825645*d - 117950.
-5*(d + 23590)*(7*d - 2)**2/4
Find w such that 2*w**5/19 - 122*w**3/19 + 360*w**2/19 = 0.
-9, 0, 4, 5
Factor 3*d**3/7 - 2802*d**2/7 + 678756*d/7 - 11327256/7.
3*(d - 458)**2*(d - 18)/7
Let -2*v**2 - 1700*v - 160272 = 0. What is v?
-742, -108
Factor -2*p**2/13 - 24246*p/13 - 24244/13.
-2*(p + 1)*(p + 12122)/13
Suppose -147*a**3 - 917217*a**2 - 524088*a - 74868 = 0. What is a?
-6239, -2/7
Determine f, given that -4*f**4 + 33828*f**3 + 236936*f**2 + 473952*f + 270848 = 0.
-4, -2, -1, 8464
Factor -q**3/5 - 2011*q**2/5 - 202407*q - 202005.
-(q + 1)*(q + 1005)**2/5
Factor -2*p**2/15 + 697628*p/15 - 60835603298/15.
-2*(p - 174407)**2/15
Find t, given that -2*t**3/19 + 2760*t**2/19 - 600264*t/19 + 35816256/19 = 0.
126, 1128
Determine i so that -18*i**5/5 + 3200*i**4 - 3562654*i**3/5 + 630480*i**2 + 394272*i/5 = 0.
-1/9, 0, 1, 444
Solve 2*s**2 - 205*s + 882 = 0.
9/2, 98
Solve -5*k**2 - 6595*k = 0.
-1319, 0
Let -4*f**5/9 - 7528*f**4/9 + 144640*f**3/9 + 311848*f**2/9 + 53228*f/3 = 0. What is f?
-1901, -1, 0, 21
Solve -2*q**5/7 - 836*q**4/7 - 119180*q**3/7 - 6160192*q**2/7 - 53075170*q/7 - 125752300/7 = 0 for q.
-137, -134, -5
Factor p**4/3 + 97*p**3 - 590*p**2/3 - 388*p + 2344/3.
(p - 2)**2*(p + 2)*(p + 293)/3
Factor -w**3/4 + 25*w**2 - 600*w.
-w*(w - 60)*(w - 40)/4
Suppose -b**4/3 + 24*b**3 + 60*b**2 - 2272*b/3 - 2368 = 0. What is b?
-4, 6, 74
Factor -3*x**2 + 46596*x - 180932268.
-3*(x - 7766)**2
Let 17*h**5/8 + 87*h**4/8 - 981*h**3/8 + 1701*h**2/8 = 0. Calculate h.
-189/17, 0, 3
What is l in -l**3/5 + 30949*l**2 = 0?
0, 154745
Suppose 3*w**4/5 + 2031*w**3/5 + 346773*w**2/5 + 1022121*w/5 = 0. Calculate w.
-337, -3, 0
Determine h, given that -2*h**2/9 - 356*h/9 + 992/3 = 0.
-186, 8
Factor -250*s**4 - 15720650*s**3 - 9432330*s**2 - 1886462*s - 125764.
-2*(s + 62882)*(5*s + 1)**3
Let 3*g**3 + 1914*g**2 + 395595*g + 26692308 = 0. Calculate g.
-284, -177
Factor 4*l**3/5 - 204*l**2 + 38268*l/5 + 39292/5.
4*(l - 209)*(l - 47)*(l + 1)/5
Factor 2*w**2/19 - 2948*w/19 - 20734/19.
2*(w - 1481)*(w + 7)/19
Solve -33*n**5/2 + 16827*n**4/2 - 32697*n**3 + 30354*n**2 + 3036*n = 0.
-1/11, 0, 2, 506
Find v, given that -2*v**2/5 + 847044*v/5 - 847042/5 = 0.
1, 423521
Suppose 2*l**5/11 + 122*l**4/11 - 43458*l**3/11 - 3463282*l**2/11 + 14370560*l/11 - 14542344/11 = 0. What is l?
-109, 2, 153
Suppose 2*h**4/17 + 432*h**3/17 - 272*h**2 - 23616*h/17 - 25312/17 = 0. Calculate h.
-226, -2, 14
Factor -4*g**2/5 + 366872*g/5.
-4*g*(g - 91718)/5
Let -5*l**5 + 100*l**4 + 1180*l**3 + 3490*l**2 + 3865*l + 1450 = 0. What is l?
-5, -2, -1, 29
Determine x so that 4*x**2 - 149404*x + 149400 = 0.
1, 37350
Let 3*d**2 + 31188*d = 0. Calculate d.
-10396, 0
Factor 2*k**3/13 + 3402*k**2/13 + 27120*k/13 + 54176/13.
2*(k + 4)**2*(k + 1693)/13
Factor -2*u**3 + 284*u**2 - 9792*u - 20736.
-2*(u - 72)**2*(u + 2)
Let 3*z**2 + 783348*z + 51136174092 = 0. What is z?
-130558
What is y in 4*y**5 + 5160*y**4 + 111584*y**3 = 0?
-1268, -22, 0
Find d such that 5*d**3/3 + 39800*d**2/3 - 159260*d/3 + 159280/3 = 0.
-7964, 2
Factor a**2 - 36062*a + 216336.
(a - 36056)*(a - 6)
Factor n**2/3 - 260*n/3 - 1183.
(n - 273)*(n + 13)/3
Solve 2*o**5 - 12740*o**4/3 + 16978*o**3/3 - 4244*o**2/3 = 0.
0, 1/3, 1, 2122
What is t in 5*t**2 + 7720*t + 2979920 = 0?
-772
Let -3*g**4 - 23142*g**3 - 369696*g**2 - 1478016*g = 0. Calculate g.
-7698, -8, 0
Determine s so that -27*s**5/5 - 834*s**4/5 - 6493*s**3/5 - 12166*s**2/5 + 1928*s/5 + 192 = 