+ 2260*k + 3408 = 0.
-1, 3, 284
Determine s so that s**5/4 - 69*s**4/4 - 71*s**3/2 - s**2/2 + 141*s/4 + 71/4 = 0.
-1, 1, 71
Let -31*a**2 - 148926*a - 9608 = 0. Calculate a.
-4804, -2/31
Solve 2*m**2 - 6*m - 540 = 0.
-15, 18
Factor 2*t**4/9 + 1068*t**3 + 3846400*t**2/3 - 23116864*t/9.
2*t*(t - 2)*(t + 2404)**2/9
Suppose 80*c**5 + 11000*c**4 - 64635*c**3 - 244310*c**2 + 133585*c - 17160 = 0. What is c?
-143, -3, 1/4, 8
Solve 3*n**2/7 - 522684*n/7 + 22766546988/7 = 0.
87114
Determine s, given that -2*s**3/9 - 764*s**2/9 + 7790*s/9 - 19600/9 = 0.
-392, 5
Suppose -18*x**5/13 - 16638*x**4/13 + 78010*x**3/13 - 24322*x**2/13 - 156144*x/13 - 66888/13 = 0. What is x?
-929, -2/3, 3
Factor -3*m**3/5 + 795*m**2.
-3*m**2*(m - 1325)/5
Let -55*b**5/2 - 1025*b**4/2 + 2665*b**3 + 14390*b**2 + 11380*b - 6160 = 0. What is b?
-22, -2, 4/11, 7
Factor -2*n**3/5 - 927444*n**2/5 - 21503994816*n - 43007247680.
-2*(n + 2)*(n + 231860)**2/5
Let 180*m**4 + 74056*m**3 + 31244*m**2 + 3288*m = 0. Calculate m.
-411, -2/9, -1/5, 0
Suppose 6*q**4/7 - 96*q**3/7 - 6306*q**2/7 + 6396*q/7 = 0. Calculate q.
-26, 0, 1, 41
Determine i so that i**2/3 + 45597*i - 136792/3 = 0.
-136792, 1
Factor o**3/2 + 102*o**2 + 401*o/2 - 303.
(o - 1)*(o + 3)*(o + 202)/2
Determine h, given that -h**2/2 + 1428*h + 2858 = 0.
-2, 2858
Determine n, given that -n**4/3 - 18050*n**3/3 - 66143*n**2 = 0.
-18039, -11, 0
Factor -2*h**3 + 25570*h**2 - 81766454*h + 245069286.
-2*(h - 6391)**2*(h - 3)
Let r**3/5 - 56002*r**2 + 3920280005*r = 0. Calculate r.
0, 140005
Let 2*x**3/7 + 4768*x**2/7 + 14286*x/7 = 0. What is x?
-2381, -3, 0
Factor -2*s**4 + 33000*s**3 + 99012*s**2 + 99016*s + 33006.
-2*(s - 16503)*(s + 1)**3
Factor 3*i**2/2 - 598101*i + 119241602067/2.
3*(i - 199367)**2/2
Factor -32*t**2/17 + 430*t/17 - 1392/17.
-2*(t - 8)*(16*t - 87)/17
Factor u**2/3 - 12892*u/3 + 25780/3.
(u - 12890)*(u - 2)/3
Suppose -2*q**2/3 - 37772*q/3 - 178340498/3 = 0. Calculate q.
-9443
Suppose 5*y**2/2 - 175*y - 9555/2 = 0. What is y?
-21, 91
Factor -2*a**2/5 + 272*a/5 - 6048/5.
-2*(a - 108)*(a - 28)/5
Factor j**5 + 174*j**4 + 6805*j**3 - 69888*j**2 - 165620*j.
j*(j - 10)*(j + 2)*(j + 91)**2
Factor -s**5 - 18084*s**4 - 109010351*s**3 - 219038115868*s**2 + 109010352*s + 219038133952.
-(s - 1)*(s + 1)*(s + 6028)**3
Solve 2*q**5 - 536*q**4 + 8618*q**3 - 20564*q**2 - 130120*q - 100400 = 0 for q.
-2, -1, 10, 251
What is b in -b**3/5 - 231659*b**2/5 - 92663*b - 231657/5 = 0?
-231657, -1
Determine q so that -4*q**4/3 + 248*q**3/3 + 532*q**2/3 - 1256*q/3 - 512 = 0.
-3, -1, 2, 64
Let n**5/3 - 714*n**4 - 71810*n**3/3 + 25364*n**2 + 71809*n/3 - 24650 = 0. Calculate n.
-34, -1, 1, 2175
Factor d**4/8 + 31*d**3 - 1005*d**2 + 10300*d - 34750.
(d - 10)**3*(d + 278)/8
Factor i**5/12 + 4*i**4/3 - 110*i**3/3 + 192*i**2 - 36*i - 1152.
(i - 6)**3*(i + 2)*(i + 32)/12
Suppose -5*l**5 + 720*l**4 + 111090*l**3 - 16664440*l**2 + 96911475*l - 143811000 = 0. What is l?
-152, 3, 145
Suppose -5*o**4 - 1650*o**3 - 54125*o**2 + 13530000*o - 336200000 = 0. Calculate o.
-205, 40
Factor -g**3/3 + 93*g**2 + g/3 - 93.
-(g - 279)*(g - 1)*(g + 1)/3
Determine r, given that 45*r**4 - 3368820*r**3 + 63047466260*r**2 + 84067780160*r + 28023092480 = 0.
-2/3, 37432
Factor 2*b**3/7 - 38*b**2/7 - 110*b + 806/7.
2*(b - 31)*(b - 1)*(b + 13)/7
Find z, given that -2*z**3/3 + 2*z**2/3 + 1472*z/3 - 15872/3 = 0.
-31, 16
Suppose -2*z**2/7 - 202892*z/7 - 5145645458/7 = 0. Calculate z.
-50723
Determine x so that -x**3/5 + 833*x**2/5 - 51322*x/5 = 0.
0, 67, 766
Factor -5*y**2 + 105*y + 12200.
-5*(y - 61)*(y + 40)
Factor -2*j**2/17 + 22244*j/17 - 66714/17.
-2*(j - 11119)*(j - 3)/17
What is r in 4*r**5 + 88*r**4 - 224*r**3 - 3272*r**2 - 5540*r - 2576 = 0?
-23, -4, -1, 7
Factor 5*j**4 + 90*j**3 - 375*j**2 - 5500*j + 22500.
5*(j - 5)**2*(j + 10)*(j + 18)
Suppose 2*z**3/3 + 4908*z**2 + 9013510*z - 217267600/3 = 0. What is z?
-3685, 8
Suppose 2*y**3/5 + 486*y**2 + 9696*y/5 + 9688/5 = 0. What is y?
-1211, -2
Factor 4*v**4 - 76*v**3 + 124*v**2 + 204*v.
4*v*(v - 17)*(v - 3)*(v + 1)
Factor 2*p**4 - 28*p**3 - 96*p**2 + 1628*p + 1694.
2*(p - 11)**2*(p + 1)*(p + 7)
Factor 2*f**3 - 2028*f**2 + 526050*f - 6024024.
2*(f - 501)**2*(f - 12)
Factor -3*m**3/5 + 1248*m**2/5 - 121527*m/5 + 690606.
-3*(m - 290)*(m - 63)**2/5
Determine r so that 4*r**4 - 12131*r**3 + 9202120*r**2 - 6894768*r = 0.
0, 3/4, 1516
Factor 2*p**4 + 256*p**3 + 11034*p**2 + 178556*p + 845152.
2*(p + 8)*(p + 22)*(p + 49)**2
Let -5*a**2 - 5680*a + 17085 = 0. Calculate a.
-1139, 3
Suppose 2*m**3 + 1826*m**2 - 1832*m - 3656 = 0. Calculate m.
-914, -1, 2
Suppose -3*m**3/7 + 816*m**2/7 + 252057*m/7 - 68696070/7 = 0. What is m?
-290, 281
Suppose 75*s**3 - 4885*s**2 + 10100*s - 1260 = 0. What is s?
2/15, 2, 63
Determine a so that a**5 + 18*a**4 + 101*a**3 + 192*a**2 + 108*a = 0.
-9, -6, -2, -1, 0
Factor -10*i**2/9 - 68266*i/9 - 13652/3.
-2*(i + 6826)*(5*i + 3)/9
Factor s**4/6 - 47*s**3/2 + 274*s**2/3.
s**2*(s - 137)*(s - 4)/6
Let 2*d**2/15 + 304*d - 314498/15 = 0. Calculate d.
-2347, 67
Factor -4*m**3/5 + 1168*m**2/5 - 9052*m/5 - 10224/5.
-4*(m - 284)*(m - 9)*(m + 1)/5
Factor 2*p**5/7 + 20*p**4/7 - 22*p**3/7.
2*p**3*(p - 1)*(p + 11)/7
Find r, given that r**2/6 - 14081*r/6 + 28154/3 = 0.
4, 14077
Solve -1005*t**2/2 - 359*t/4 - 1 = 0 for t.
-1/6, -4/335
Solve 2*l**4/3 + 16*l**3 + 322*l**2/3 + 276*l + 240 = 0.
-15, -4, -3, -2
Suppose -5*y**4 - 7865*y**3 + 7910*y**2 + 62900*y - 94440 = 0. What is y?
-1574, -3, 2
Determine w, given that 91*w**5/4 + 277*w**4/2 + 321*w**3/4 - 443*w**2/2 - 20*w = 0.
-5, -2, -8/91, 0, 1
Solve -v**4/6 - 72*v**3 + 6609*v**2/2 - 19177*v/3 + 3160 = 0.
-474, 1, 40
Factor -2906*m**2/13 + 17412*m/13 + 144/13.
-2*(m - 6)*(1453*m + 12)/13
Let 4*c**2 + 508084*c + 1016152 = 0. What is c?
-127019, -2
Factor -15*h**2 - 3348*h + 57408.
-3*(h - 16)*(5*h + 1196)
Solve k**3/4 - 11*k**2 + 461*k/4 - 377/2 = 0.
2, 13, 29
Let 25*f**5/3 + 405*f**4 + 5210*f**3/3 + 6620*f**2/3 + 280*f - 1760/3 = 0. What is f?
-44, -2, -1, 2/5
Solve -45602*k**3 + 422498*k**2 - 109520*k + 7200 = 0.
20/151, 9
Let 2*c**4/11 - 3614*c**3/11 - 7236*c**2/11 = 0. Calculate c.
-2, 0, 1809
Suppose 2*k**4 - 14*k**3 - 1382*k**2 + 14*k + 1380 = 0. Calculate k.
-23, -1, 1, 30
Let 249*n**5/8 - 219*n**4 + 4545*n**3/8 - 2571*n**2/4 + 543*n/2 - 9 = 0. Calculate n.
3/83, 1, 2
Factor -2*d**4 + 10*d**3 + 528*d**2 - 1080*d.
-2*d*(d - 18)*(d - 2)*(d + 15)
Determine n, given that -21*n**4/2 - 207*n**3 + 3291*n**2/2 - 1818*n + 390 = 0.
-26, 2/7, 1, 5
Let 2*z**2/13 - 420*z/13 + 22050/13 = 0. What is z?
105
Let f**2/4 - 6923*f/2 + 47927929/4 = 0. Calculate f.
6923
Factor 2*z**3/7 + 348*z**2/7 + 690*z/7 + 344/7.
2*(z + 1)**2*(z + 172)/7
Determine a, given that a**5/4 - 39*a**4/2 + 73*a**3/4 + 78*a**2 - 77*a = 0.
-2, 0, 1, 2, 77
Factor -6*x**2 + 957*x - 1422.
-3*(x - 158)*(2*x - 3)
Find p, given that 36*p**3 - 369820*p**2 - 821984*p - 164400 = 0.
-2, -2/9, 10275
Solve -40*o**5 - 4884*o**4 - 5328*o**3 - 484*o**2 = 0.
-121, -1, -1/10, 0
Let 73*y**2/6 + 937*y/6 - 26 = 0. Calculate y.
-13, 12/73
Determine a so that -2*a**3/9 + 1316*a**2/9 - 161912*a/9 + 1861840/3 = 0.
74, 510
Factor 4*z**2 + 64060*z - 64064.
4*(z - 1)*(z + 16016)
Suppose b**3 + 355*b**2 - 358*b - 712 = 0. Calculate b.
-356, -1, 2
Suppose -5*z**5/3 + 175*z**4/3 - 1055*z**3/3 - 1625*z**2 = 0. Calculate z.
-3, 0, 13, 25
Find a, given that -3*a**2/8 - 93*a/8 - 225/4 = 0.
-25, -6
Factor 4*v**4 - 784*v**3 - 4*v**2 + 784*v.
4*v*(v - 196)*(v - 1)*(v + 1)
Factor z**3/4 + 957*z**2/4 + 51937*z/2 - 26208.
(z - 1)*(z + 126)*(z + 832)/4
Suppose -4*c**2 + 20*c + 59024 = 0. What is c?
-119, 124
Let 8*g**5 - 238*g**4 + 1866*g**3 - 4250*g**2 + 3814*g - 1200 = 0. What is g?
1, 8, 75/4
Suppose 4*z**3 - 79164*z**2 - 4*z + 79164 = 0. Calculate z.
-1, 1, 19791
Factor 10*b**2/11 - 8*b - 18/11.
2*(b - 9)*(5*b + 1)/11
Find h such that -5*h**2 - 15676*h - 143796 = 0.
-3126, -46/5
Determine l so that 3*l**4 - 99*l**3 - 5505*l**2 - 46125*l - 107250 = 0.
-22, -5, 65
Factor -2*j**3 + 78*j**2 + 1586*j - 5406.
-2*(j - 53)*(j - 3)*(j + 17)
What is k in -5*k**3/7 - 548*k**2/7 - 327*k/7 = 0?
-109, -3/5, 0
Determine p so that 5*p**2 + 3825*p = 0.
-765, 0
Suppose -2*w**3/7 + 172*w**2/7 + 1920*w/7 = 0. What is w?
-10, 0, 96
Suppose 5*d**4 + 18860*d**3 + 1784