 -12, 3, 199
Determine r, given that -3*r**5 + 507*r**4 - 18855*r**3 - 217755*r**2 + 169938*r + 1918728 = 0.
-9, -3, 3, 84, 94
Factor -b**3 - 2824*b**2 - 130471*b + 133296.
-(b - 1)*(b + 48)*(b + 2777)
Suppose 2*k**2/13 + 360789444*k/13 + 16271127862728642/13 = 0. What is k?
-90197361
Find d, given that 14*d**4/3 + 1518*d**3 + 332428*d**2/3 + 140400*d + 31104 = 0.
-216, -108, -1, -2/7
Factor j**3/7 + 621*j**2/7 - 11422*j/7 + 51120/7.
(j - 10)*(j - 8)*(j + 639)/7
Determine p, given that p**4/3 - 9430*p**3 - 7519932*p**2 - 1974555306*p - 172301919471 = 0.
-261, 29073
Factor r**2/6 - 446530*r/3 - 9823781/6.
(r - 893071)*(r + 11)/6
Factor t**2 + 18628*t + 21674107.
(t + 1247)*(t + 17381)
Solve -o**3 - 12220*o**2 - 1476077*o - 1463858 = 0.
-12098, -121, -1
Determine b so that b**3/6 - 151796*b**2/3 + 1214326*b/3 + 3035840/3 = 0.
-2, 10, 303584
Determine a, given that -4*a**5 - 856*a**4 - 8100*a**3 + 177520*a**2 + 1741264*a - 1909824 = 0.
-203, -14, -12, 1, 14
Factor -3*v**2/2 - 1326*v + 191151/2.
-3*(v - 67)*(v + 951)/2
What is p in 3*p**4/8 - 1167*p**3/2 + 106215*p**2/8 - 336147*p/4 + 160965 = 0?
4, 5, 14, 1533
Factor b**4 - 526*b**3 + 34740*b**2 - 581096*b - 1305376.
(b - 452)*(b - 38)**2*(b + 2)
Factor -2*y**3/17 - 153292*y**2/17 - 173133760*y - 13449628608.
-2*(y + 78)*(y + 38284)**2/17
Find v such that v**3 + 29792361*v**2 + 221896208384760*v + 221896178592400 = 0.
-14896180, -1
Factor 4*r**3 - 29352*r**2 + 2732580*r - 64007984.
4*(r - 7244)*(r - 47)**2
Let -3*t**4/5 + 11991*t**3 - 402391737*t**2/5 + 926596510521*t/5 - 131754759971736/5 = 0. What is t?
152, 6611
Let -k**4/7 + 76134*k**3/7 - 1446351777*k**2/7 - 104532379848*k/7 = 0. Calculate k.
-72, 0, 38103
Let -i**2 + 813901*i - 813900 = 0. Calculate i.
1, 813900
Let 892*j**5/7 - 68672*j**4/7 + 445968*j**3/7 - 685288*j**2/7 + 302900*j/7 + 600 = 0. What is j?
-3/223, 1, 5, 70
Solve -2*p**2/5 + 2270*p + 319368/5 = 0 for p.
-28, 5703
Factor 4*p**4 - 204248*p**3 + 3080547508*p**2 - 12081771241584*p + 13996053149767056.
4*(p - 22954)**2*(p - 2577)**2
Solve 25*x**4 + 1555*x**3 + 17765*x**2 - 92275*x + 72930 = 0 for x.
-221/5, -22, 1, 3
Find l, given that -l**5/4 + 631*l**4 + 68905*l**3/4 - 17857*l**2 = 0.
-28, 0, 1, 2551
Find u such that -16786*u**3/9 - 151078*u**2/3 + 167824*u + 120 = 0.
-30, -6/8393, 3
Factor 3*c**3 - 211605*c**2 + 3733399104*c - 70858214148.
3*(c - 35258)**2*(c - 19)
Factor a**4 + 43417*a**3 - 955546*a**2 + 4865168*a.
a*(a - 14)*(a - 8)*(a + 43439)
Suppose -5*g**5 + 2305*g**4 + 40550*g**3 + 38240*g**2 = 0. What is g?
-16, -1, 0, 478
Factor m**3/2 + 25*m**2 - 29071*m/2 + 57710.
(m - 145)*(m - 4)*(m + 199)/2
Determine n, given that 2*n**4/9 - 58900*n**3/9 + 4411286*n**2/3 - 719096840*n/9 - 3091899200/9 = 0.
-4, 115, 29224
Factor 2*q**3/9 + 71368*q**2/3 + 636578760*q - 45847374400/9.
2*(q - 8)*(q + 53530)**2/9
Find x such that -x**3/7 - 4954*x**2/7 - 814840*x = 0.
-3134, -1820, 0
Factor -h**3/7 + 1154999*h**2/7.
-h**2*(h - 1154999)/7
Find m, given that m**4 - 4626*m**3 + 314433*m**2 = 0.
0, 69, 4557
Solve -2*o**4/13 - 70308764*o**3/13 - 823887072637536*o**2/13 - 3218138332866292157540*o/13 - 3218137508979289828766/13 = 0.
-11718127, -1
Find x, given that 2*x**5/7 - 1672*x**4/7 + 114360*x**3/7 - 325796*x**2 + 15722278*x/7 - 3315780 = 0.
2, 13, 45, 763
Find c, given that 12*c**5 + 200*c**4 + 1116*c**3 + 1968*c**2 - 1520*c - 4800 = 0.
-6, -5, -2, 4/3
Factor -2*a**3 + 12007*a**2 + 501777*a - 253890.
-(a - 6045)*(a + 42)*(2*a - 1)
Solve 14*f**3/3 - 24008*f**2/3 - 3550*f/3 + 68600 = 0 for f.
-3, 20/7, 1715
Solve -2*p**2/3 + 50671792*p - 962861439184224 = 0.
38003844
Find c, given that -3*c**4/2 + 1815*c**3/2 - 53418*c**2 + 415392*c - 362880 = 0.
1, 8, 56, 540
Let -2695*r**4 + 33460*r**3 + 3130*r**2 - 33460*r - 435 = 0. Calculate r.
-1, -1/77, 1, 87/7
What is q in q**3/2 + 4170*q**2 - 6359347*q/2 - 9576537 = 0?
-9043, -3, 706
Determine j so that -2*j**5/3 + 90322*j**4/3 + 541996*j**3/3 + 361348*j**2/3 - 541994*j/3 - 451670/3 = 0.
-5, -1, 1, 45167
Solve -3*w**4 + 2241*w**3 - 16665*w**2 - 5790213*w + 132248160 = 0 for w.
-55, 33, 736
Factor y**2 + 336041*y - 9073836.
(y - 27)*(y + 336068)
What is x in 5*x**3 + 520*x**2 - 16005*x - 982800 = 0?
-117, -35, 48
Solve 2*v**5/9 - 23422*v**4/9 + 20692*v**3 + 11931076*v**2/9 + 70037770*v/9 - 27377218/3 = 0 for v.
-11, 1, 29, 11703
What is r in 5*r**5 + 3950*r**4 - 182885*r**3 + 497050*r**2 + 683880*r = 0?
-834, -1, 0, 4, 41
Factor 4*b**2 - 573344*b + 184772796.
4*(b - 143013)*(b - 323)
Let -k**2 + 169393*k - 16083310 = 0. Calculate k.
95, 169298
Solve 3*f**5 + 4154*f**4/5 + 247238*f**3/5 - 6011896*f**2/5 - 35255157*f/5 + 475398 = 0 for f.
-147, -5, 1/15, 22
Factor -3*o**2/2 - 2898*o - 1398384.
-3*(o + 936)*(o + 996)/2
Factor -3*y**3/5 - 1364493*y**2 - 3878866423929*y/5 - 34909245197883/5.
-3*(y + 9)*(y + 1137073)**2/5
Suppose -r**2/4 + 6530846*r - 13061691 = 0. Calculate r.
2, 26123382
Determine v, given that -216648012*v**5 - 26647450536*v**4 + 109221955593*v**3 - 110185689081*v**2 + 129547320*v - 38100 = 0.
-127, 5/8498, 2
Factor m**5 + 600*m**4 + 78969*m**3 + 4095350*m**2 + 86017500*m + 496125000.
(m + 9)*(m + 50)**3*(m + 441)
Factor -v**2 + 75750*v.
-v*(v - 75750)
Solve 425*r**5 + 73730*r**4 - 14583460*r**3 + 36323960*r**2 - 15588160*r + 1354880 = 0.
-292, 2/17, 2/5, 2, 116
Suppose 144*k**3 + 4559016*k**2 - 759839*k + 31660 = 0. Calculate k.
-31660, 1/12
Determine p so that p**2/2 - 215787*p/2 + 5285581 = 0.
49, 215738
Let -w**5 - 73*w**4 + 20830*w**3 - 260972*w**2 + 951576*w - 711360 = 0. Calculate w.
-190, 1, 6, 104
Factor 4*h**2/7 - 54580048*h/7 - 54580076.
4*(h - 13645019)*(h + 7)/7
Let 3*y**3/2 - 19683*y**2/2 + 16048620*y + 308486850 = 0. Calculate y.
-19, 3290
Determine p so that -2*p**2/5 + 1668001*p/5 + 834001/5 = 0.
-1/2, 834001
Let 7*d**4/3 + 73*d**3/6 + 35*d**2/2 + 6*d = 0. Calculate d.
-3, -12/7, -1/2, 0
Find m such that 2*m**3/3 - 100502*m**2/3 - 402034*m/3 - 100510 = 0.
-3, -1, 50255
Factor -4*l**2 + 80284*l - 24503640.
-4*(l - 19761)*(l - 310)
Let -2756*x**4/3 - 853022*x**3/15 + 519984*x**2 - 749032*x/15 - 448/3 = 0. What is x?
-70, -2/689, 1/10, 8
Solve 172*o**2 - 9528*o + 122780 = 0.
877/43, 35
Suppose 2*h**3 + 56154*h**2 - 2136018*h + 20299030 = 0. Calculate h.
-28115, 19
Solve -8*d**5 + 11412*d**4 - 2122216*d**3 - 1536604272*d**2 + 6952617504*d - 3091893120 = 0.
-270, 1/2, 4, 846
Suppose -3*z**2 - 112977*z + 564960 = 0. What is z?
-37664, 5
Factor 2*v**2 + 25846*v - 10603516.
2*(v - 398)*(v + 13321)
What is s in 5*s**5 + 361365*s**4 - 4698350*s**3 + 17348460*s**2 - 13011480*s = 0?
-72286, 0, 1, 6
Solve -u**3/8 + 2942731*u**2/8 + 47083937*u/8 + 44141205/8 = 0.
-15, -1, 2942747
Find d, given that 3*d**5/4 + 135*d**4/2 + 4971*d**3/4 + 5868*d**2 + 2469*d - 9648 = 0.
-67, -16, -6, -2, 1
What is m in 2*m**5 + 18564*m**4 + 278158*m**3 + 1371780*m**2 + 2446632*m + 1334448 = 0?
-9267, -6, -2, -1
Factor -4*v**3 - 9970848*v**2 - 179474292*v - 807632856.
-4*(v + 9)**2*(v + 2492694)
Factor -2*f**2/15 + 5488*f/5 + 1255162/3.
-2*(f - 8597)*(f + 365)/15
Factor 3*z**3 + 10356*z**2 - 7128192*z + 1125626880.
3*(z - 304)**2*(z + 4060)
Factor 3*o**4 - 288*o**3 + 69*o**2 + 20520*o.
3*o*(o - 95)*(o - 9)*(o + 8)
Solve -3*j**2 + 214374*j - 2572056 = 0 for j.
12, 71446
Let -2*w**5/5 - 2604*w**4/5 + 58182*w**3/5 - 98096*w**2/5 - 31776*w = 0. Calculate w.
-1324, -1, 0, 3, 20
Suppose p**5/7 + 12*p**4 + 1832*p**3/7 + 4770*p**2/7 - 46377*p/7 + 5670 = 0. Calculate p.
-49, -30, -9, 1, 3
Solve 18*d**5/17 + 6952*d**4/17 + 166730*d**3/17 - 1143948*d**2/17 + 1603872*d/17 + 414720/17 = 0 for d.
-360, -32, -2/9, 3
What is a in 2*a**3/9 - 57400*a**2 + 16529086*a/9 + 5681896/3 = 0?
-1, 33, 258268
Factor -21*f**3 - 7797*f**2 - 40656*f - 10980.
-3*(f + 5)*(f + 366)*(7*f + 2)
Find z, given that 2*z**2/9 + 5869076*z/3 - 35214464/9 = 0.
-8803616, 2
Let -5*n**3 - 1807100*n**2 - 155382865*n - 3340532830 = 0. What is n?
-361334, -43
Factor 8*c**4 + 3593*c**3 + 243473*c**2 + 30378*c.
c*(c + 83)*(c + 366)*(8*c + 1)
Find c such that 5357*c**4/9 - 541055*c**3/9 + 13386941*c**2/9 + 4646185*c/3 + 578 = 0.
-1, -2/5357, 51
Suppose -2*j**4/3 - 142600*j**3/3 + 142604*j**2/3 + 142600*j/3 - 47534 = 0. Calculate j.
-71301, -1, 1
Factor -5*n**3 - 398570*n**2 + 9567840*n - 57411360.
