8)
Solve 319*p**4/6 - 32863*p**3/6 - 16279*p**2/3 + 104*p = 0 for p.
-1, 0, 6/319, 104
Solve 3*x**2/5 + 12585*x - 818532/5 = 0 for x.
-20988, 13
Factor 3*x**2/4 - 1770177*x/4 - 8851185.
3*(x - 590079)*(x + 20)/4
Determine t so that 3*t**5 + 345*t**4 + 8544*t**3 + 31944*t**2 - 241584*t + 281424 = 0.
-82, -26, -11, 2
Suppose -4*d**5 - 365040*d**4 - 11108528576*d**3 - 112843809582472*d**2 - 3709655596845948*d + 21370762018026040 = 0. What is d?
-30409, -38, 5
Determine b, given that 4*b**3 + 10440*b**2 - 1343668*b + 2645544 = 0.
-2733, 2, 121
Find w, given that 2*w**4 - 2216704*w**3 - 6650124*w**2 - 6650128*w - 2216710 = 0.
-1, 1108355
Suppose 54*o**4/7 - 1161480*o**3/7 + 67058570*o**2/7 - 58862000*o/7 + 9781656/7 = 0. What is o?
2/9, 2/3, 57, 21451
Solve -j**4/3 - 45594*j**3 - 4676234497*j**2/3 + 24948672048*j - 299419084864/3 = 0 for j.
-68399, 8
Suppose -5*i**5 + 124*i**4 + 625*i**3 - 17880*i**2 + 13680*i + 3456 = 0. Calculate i.
-12, -1/5, 1, 12, 24
Factor -2*z**4/9 - 125836*z**3 - 71255767520*z**2/3 - 13449454856837300*z/9 + 13450096168937750/3.
-2*(z - 3)*(z + 188755)**3/9
Determine o so that -65*o**5/7 - 6271*o**4/7 - 97683*o**3/7 - 340229*o**2/7 - 47716*o - 12180 = 0.
-1015/13, -14, -3, -1, -2/5
Find v such that 5974820335452872*v**2/15 - 218628824*v/15 + 2/15 = 0.
1/54657206
Determine j so that 2*j**2 + 87510*j - 47838600 = 0.
-44295, 540
Find z, given that 147*z**4 - 278754*z**3 + 1747896*z**2 - 2903808*z + 1451520 = 0.
8/7, 4, 1890
Determine k so that -k**5/7 - 3354*k**4/7 - 26759*k**3/7 + 30222*k**2/7 + 361260*k/7 - 51624 = 0.
-3346, -6, 1, 3
Factor -2*v**2/11 - 43412*v/11 + 304962.
-2*(v - 77)*(v + 21783)/11
Suppose 5*v**2 - 95106210*v + 452259559028205 = 0. Calculate v.
9510621
Find r such that 2*r**5/3 - 3242*r**4/3 - 487368*r**3 - 48761856*r**2 + 49250304*r = 0.
-192, 0, 1, 2004
Factor 2*a**4 - 234*a**3 - 21012*a**2 + 42944*a.
2*a*(a - 176)*(a - 2)*(a + 61)
Let -2*k**3 + 138382*k**2 + 276788*k - 1107088 = 0. What is k?
-4, 2, 69193
Factor 2*p**2 + 528012*p + 1584018.
2*(p + 3)*(p + 264003)
Factor 2*r**2/5 + 3192*r/5 + 1273558/5.
2*(r + 793)*(r + 803)/5
Factor 3*l**4 + 4109910*l**3 + 1407761299659*l**2 + 101342834805240*l + 1824075155552688.
3*(l + 36)**2*(l + 684949)**2
Factor 3*l**4 - 152633310*l**3 + 457899912*l**2 - 457899906*l + 152633301.
3*(l - 50877767)*(l - 1)**3
Solve -5*z**3 - 4343295*z**2 - 225841200*z - 2935891660 = 0.
-868607, -26
Let 39*m**4/2 + 603*m**3 - 188145*m**2/2 - 3103800*m + 3197250 = 0. What is m?
-870/13, -35, 1, 70
Determine x so that 4*x**5 + 5244*x**4 + 1132472*x**3 - 394830008*x**2 + 13570963524*x + 13966920764 = 0.
-751, -1, 41, 151
Factor 4*v**4/3 + 15944*v**3 + 47828*v**2/3.
4*v**2*(v + 1)*(v + 11957)/3
Let 15*p**2 + 2116460*p/3 + 940640/3 = 0. Calculate p.
-47032, -4/9
Find q such that -2*q**4/7 - 576*q**3/7 + 39966*q**2/7 + 71012*q + 829728/7 = 0.
-344, -9, -2, 67
Let 4*s**3 + 321756*s**2 - 4505172*s + 15768788 = 0. What is s?
-80453, 7
Factor -10609*g**3 - 14853836*g**2 - 1730436*g - 50400.
-(g + 1400)*(103*g + 6)**2
Factor 68*i**2 + 6644*i + 129816.
4*(i + 27)*(17*i + 1202)
Factor -3*q**2/2 - 76689*q/2 + 115047.
-3*(q - 3)*(q + 25566)/2
Factor -3*v**2/4 - 104663415*v - 3651476813154075.
-3*(v + 69775610)**2/4
Factor -27001161728*d**2 - 18125952*d - 3042.
-2*(116192*d + 39)**2
Suppose 21*d**4/2 + 453*d**3/4 - 68142*d**2 + 1761012*d + 5436288 = 0. Calculate d.
-96, -39/14, 44
Solve -3*d**2 + 69295008*d - 400149844476672 = 0.
11549168
Find x, given that 2*x**3/11 + 194400*x**2/11 - 972050*x/11 = 0.
-97205, 0, 5
Suppose -41*y**5/2 - 37177*y**4/2 - 65181*y**3/2 - 18995*y**2/2 + 4525*y = 0. Calculate y.
-905, -1, 0, 10/41
Suppose 2*u**5 - 6168*u**4 + 98292*u**3 - 355936*u**2 + 147066*u + 607464 = 0. What is u?
-1, 3, 11, 3068
Solve -2*y**3 + 96*y**2 + 7922*y - 77616 = 0.
-49, 9, 88
What is s in -6*s**5 - 98*s**4 + 22246*s**3 + 29962*s**2 - 37200*s - 14904 = 0?
-69, -2, -1/3, 1, 54
Suppose 6*l**5/13 - 3412*l**4/13 + 486146*l**3/13 - 287348*l**2/13 - 5034752*l/13 + 4839360/13 = 0. What is l?
-10/3, 1, 3, 284
Solve -18*h**5 + 993*h**4 - 2055*h**3 - 675*h**2 + 2073*h - 318 = 0.
-1, 1/6, 1, 2, 53
Determine o so that -4*o**4/5 + 91188*o**3/5 + 456016*o**2/5 + 547248*o/5 = 0.
-3, -2, 0, 22802
Factor -5*l**2 + 1915*l - 116660.
-5*(l - 307)*(l - 76)
Factor 2*t**3/3 + 112*t**2 + 2594*t - 8120/3.
2*(t - 1)*(t + 29)*(t + 140)/3
Solve -20*s**3/17 - 133546*s**2/17 - 173582*s/17 - 40056/17 = 0.
-6676, -1, -3/10
Determine n so that 14*n**5/13 - 38244*n**4/13 - 1519162*n**3/13 - 1041792*n**2 - 288184*n = 0.
-26, -13, -2/7, 0, 2771
Find l, given that 3951227*l**2 + 35561041*l - 18 = 0.
-9, 2/3951227
Factor 30135*c**2/2 - 1062*c - 243/2.
3*(49*c + 3)*(205*c - 27)/2
Determine h so that 3*h**2 + 6418326*h + 3432909053523 = 0.
-1069721
Solve -2*x**4 + 834*x**3 + 10224*x**2 + 30824*x + 27456 = 0 for x.
-8, -2, 429
Suppose k**5/5 - 889*k**4 - 44617*k**3/5 + 298601*k**2/5 - 103368*k + 53460 = 0. What is k?
-15, 1, 2, 4455
Factor -2*n**4 - 1688956*n**3 - 475429854288*n**2 - 44610534083047744*n - 89219166460189952.
-2*(n + 2)*(n + 281492)**3
Solve 3*m**2 - 273696*m + 2189376 = 0.
8, 91224
What is g in 4*g**4 + 35822*g**3 + 17894*g**2 - 143288*g - 71640 = 0?
-8955, -2, -1/2, 2
Suppose 2*u**4/17 + 640*u**3/17 + 294*u**2 - 546624*u/17 + 2958984/17 = 0. What is u?
-309, -38, 6, 21
Find g, given that -2*g**4/3 - 2016*g**3 - 78350*g**2/3 - 64248*g - 120440/3 = 0.
-3011, -10, -2, -1
What is k in -4*k**5 + 1344*k**4 + 241276*k**3 - 29101416*k**2 + 745500240*k - 1376546400 = 0?
-194, 2, 45, 438
Let -r**2/2 - 1599*r - 100288 = 0. What is r?
-3134, -64
Suppose -w**3/4 + 861035*w**2/2 - 3444137*w/4 + 430517 = 0. What is w?
1, 1722068
Let 12*y**4/5 + 2061226*y**3 + 2212851072798*y**2/5 + 4794474300054*y/5 + 2581633533374/5 = 0. Calculate y.
-429421, -7/6, -1
Factor 3*u**2 - 38758083*u/2 - 19379043/2.
3*(u - 6459681)*(2*u + 1)/2
Factor 2*x**2/5 - 221574*x/5 + 221572/5.
2*(x - 110786)*(x - 1)/5
Factor -5*j**3 + 4370*j**2 - 397675*j - 2098250.
-5*(j - 770)*(j - 109)*(j + 5)
Find z such that -5*z**3 - 1686355*z**2 - 15176880*z - 30353580 = 0.
-337262, -6, -3
Find c, given that -5*c**5 - 2000885*c**4 - 2000825*c**3 + 22009725*c**2 + 18007830*c - 36015840 = 0.
-400176, -3, -2, 1, 3
Determine x so that 2*x**2/9 + 2284*x/9 - 59302 = 0.
-1341, 199
Factor 4*o**2 + 837752*o + 373675908.
4*(o + 447)*(o + 208991)
Factor s**2/3 + 26771*s - 240966.
(s - 9)*(s + 80322)/3
Let -96*m**5 + 22455*m**4 + 70170*m**3 + 51885*m**2 + 4266*m = 0. Calculate m.
-2, -1, -3/32, 0, 237
Factor 2*b**3/5 - 6498*b**2/5 + 385152*b - 29992960.
2*(b - 2929)*(b - 160)**2/5
Determine h, given that -4*h**2 - 3646965264*h - 831272227301411856 = 0.
-455870658
Solve -j**5 - 26026*j**4 - 169520187*j**3 - 2367742270*j**2 + 2876432972*j + 5074681080 = 0.
-13006, -15, -1, 2
Suppose n**2/4 + 5875*n - 590000 = 0. Calculate n.
-23600, 100
Let 3*u**3/7 + 9355635*u**2/7 + 4009554*u = 0. Calculate u.
-3118542, -3, 0
Let -4*n**5 - 199707*n**4 - 2491756553*n**3 + 23061393604*n**2 - 55481692416*n + 12468020480 = 0. Calculate n.
-24968, 1/4, 4, 5
Find m such that -m**3 - 3956*m**2 - 1428765*m - 135597150 = 0.
-3566, -195
Factor -3*b**3 - 18861*b**2 - 37638*b + 452520.
-3*(b - 4)*(b + 6)*(b + 6285)
Factor n**3 - 7820*n**2 + 6289307*n - 49814488.
(n - 6911)*(n - 901)*(n - 8)
Solve -q**3/5 + 1274*q**2/5 - 102828*q + 13372920 = 0 for q.
330, 614
Determine a so that 42*a**4 - 4933851*a**3 + 3171729*a**2 + 1762080*a = 0.
-5/14, 0, 1, 117472
Let r**5 - 116675*r**4/2 - 6948847*r**3/2 - 11562496*r**2 - 6423782*r + 6540464 = 0. What is r?
-56, -2, 1/2, 58397
Suppose 4*u**5 + 31568*u**4 + 409800*u**3 + 724912*u**2 + 346676*u = 0. Calculate u.
-7879, -11, -1, 0
Solve 621*s**5 - 60321*s**4 + 126801*s**3 - 79071*s**2 + 11970*s = 0 for s.
0, 2/9, 21/23, 1, 95
Factor 8*c**2 + 27924*c + 125496.
4*(c + 3486)*(2*c + 9)
Solve -2*c**2/15 - 303426*c/5 - 6371652/5 = 0 for c.
-455118, -21
Solve -4*c**2 - 91303708*c + 91303712 = 0 for c.
-22825928, 1
Factor 2*m**3/11 + 5106*m**2/11 - 7033280*m/11.
2*m*(m - 992)*(m + 3545)/11
Factor k**4 + 940*k**3 + 69327*k**2 - 216468*k.
k*(k - 3)*(k + 84)*(k + 859)
Factor 2*g**2/9 + 67498*g/9 - 1691200/3.
2*(g - 75)*(g + 33824)/9
Let -4*c**4 - 1580*c**3 - 80900*c**2 + 15665900*c + 1