8*c**2/3 - 678242*c - 508682/3.
2*(c - 254341)*(4*c + 1)/3
Suppose -605*s**5 + 692230*s**4 - 204202245*s**3 + 3542959000*s**2 - 15848450000*s = 0. Calculate s.
0, 100/11, 563
Find q such that -q**2/2 + 584*q + 6681874 = 0.
-3118, 4286
Find l, given that 2*l**3/7 + 5730*l**2/7 + 17176*l/7 + 11448/7 = 0.
-2862, -2, -1
Factor 2*z**2 + 568986*z + 1137964.
2*(z + 2)*(z + 284491)
Let -q**5 - 290*q**4 - 11950*q**3 + 58180*q**2 + 253871*q + 184030 = 0. What is q?
-239, -55, -2, -1, 7
Let -180*i**3 - 1537762*i**2 + 4273070*i + 1025508 = 0. What is i?
-85459/10, -2/9, 3
Solve 2*p**5 - 2324*p**4 + 186844*p**3 - 4055944*p**2 + 13887522*p - 10016100 = 0 for p.
1, 3, 31, 50, 1077
Let v**3/2 - 26244401*v**2 + 688768583848801*v/2 = 0. What is v?
0, 26244401
Let 3*i**4 + 19950*i**3 + 30707859*i**2 - 8176228200*i + 503896640688 = 0. What is i?
-3444, 119
Factor -v**4/5 + 176974*v**3 - 260990046324*v**2/5 + 25656191057963592*v/5 + 718577985244579488/5.
-(v - 294966)**3*(v + 28)/5
Factor 2144*a**2 - 2373468*a + 66420.
4*(a - 1107)*(536*a - 15)
Determine b, given that -2*b**4 - 808*b**3 - 5050*b**2 + 822100*b + 3318000 = 0.
-395, -35, -4, 30
Factor -v**2/8 - 209981*v/8 - 209979/4.
-(v + 2)*(v + 209979)/8
Factor -2*n**2/13 + 43944*n/13 - 85093192/13.
-2*(n - 19826)*(n - 2146)/13
Factor 2*r**3 - 80112*r**2 + 240322*r - 160212.
2*(r - 40053)*(r - 2)*(r - 1)
Determine z so that -578*z**3/7 - 5517180*z**2/7 + 3894696*z/7 - 687312/7 = 0.
-9546, 6/17
Determine d, given that -2*d**2 + 6820*d + 49942750 = 0.
-3575, 6985
What is z in 5*z**5 + 290*z**4 + 3465*z**3 - 22480*z**2 - 54220*z - 28560 = 0?
-34, -28, -1, 6
Determine j so that 2*j**5/11 + 28884*j**4/11 - 57774*j**3/11 + 28888*j**2/11 = 0.
-14444, 0, 1
What is s in 1917*s**5 + 52458*s**4 + 367679*s**3 + 124806*s**2 - 16988*s - 6552 = 0?
-14, -13, -1/3, -18/71, 2/9
Let -4*h**4 + 4080*h**3 - 76468*h**2 + 392712*h - 320320 = 0. Calculate h.
1, 8, 10, 1001
Factor 4*x**5 - 116374184*x**4 + 846434418854116*x**3.
4*x**3*(x - 14546773)**2
Factor 3*k**2/5 + 17855871*k/5.
3*k*(k + 5951957)/5
Solve -3*z**2 + 3208722*z + 3208725 = 0 for z.
-1, 1069575
Determine k so that 5*k**3 - 26684815*k**2 + 35603954236800*k + 35603980921620 = 0.
-1, 2668482
Suppose -2*o**2/7 - 114106*o + 798744/7 = 0. What is o?
-399372, 1
Suppose -i**3 + 2108*i**2 + 127715*i - 1569129450 = 0. What is i?
-762, 1435
Determine b so that -5*b**2/2 + 6505555*b - 8464449171605/2 = 0.
1301111
Suppose -z**2/5 - 503197*z/5 + 3522428/5 = 0. What is z?
-503204, 7
Suppose 5*y**3 + 132270*y**2 + 925675*y + 793410 = 0. What is y?
-26447, -6, -1
Determine k so that 2*k**3/5 + 210944*k**2 + 14765786*k/5 + 51679908/5 = 0.
-527346, -7
Factor -2*r**2/23 - 34054*r/23 + 5014516/23.
-2*(r - 146)*(r + 17173)/23
Solve k**3 - 1420*k**2 - 89567*k - 1146294 = 0.
-43, -18, 1481
Determine f, given that 5*f**4 - 975*f**3 - 58565*f**2 + 5195775*f - 33178320 = 0.
-87, 7, 48, 227
Determine y so that 2*y**3 - 7751*y**2/2 - 494889*y - 123480 = 0.
-120, -1/4, 2058
Suppose 2*s**5/5 - 422*s**4/5 + 8186*s**3/5 + 218454*s**2/5 - 2080188*s/5 - 2290032/5 = 0. What is s?
-19, -1, 9, 36, 186
Factor 2*b**2/5 - 28736*b/5 - 172776.
2*(b - 14398)*(b + 30)/5
Let -295878*z**2 + 48351*z + 990 = 0. Calculate z.
-165/8966, 2/11
Solve -4*p**5 - 131006340*p**4 - 1430221760016296*p**3 - 5204669949113585753160*p**2 + 1430221760016300*p + 5204669949113716759500 = 0 for p.
-10917195, -1, 1
Suppose 33*v**4 + 2025*v**3 + 30708*v**2 + 53580*v = 0. What is v?
-38, -235/11, -2, 0
Factor -y**2/9 + 254944*y/3 - 7648220/9.
-(y - 764822)*(y - 10)/9
Solve z**3 + 129535*z**2 - 28534000*z + 1570035500 = 0.
-129755, 110
Solve 28*o**2/9 + 751570*o/9 + 196834/3 = 0.
-26841, -11/14
Factor -4*o**4 - 3859280*o**3 - 931109160400*o**2 - 111691422480000*o - 3350325924000000.
-4*(o + 60)**2*(o + 482350)**2
Solve -3*w**5/5 - 3771*w**4/5 - 446844*w**3/5 + 1832724*w**2/5 - 1847856*w/5 = 0.
-1124, -137, 0, 2
Let -3*v**2 - 243876*v - 1219305 = 0. Calculate v.
-81287, -5
Solve -2*g**2/11 + 495406112*g/11 - 30678401975869568/11 = 0.
123851528
Determine v, given that 8*v**3/9 - 2950*v**2/9 + 163738*v/9 - 745940/9 = 0.
5, 247/4, 302
Factor 3*w**3 - 772557*w**2 + 7725345*w - 19313175.
3*(w - 257509)*(w - 5)**2
What is l in -3*l**3/2 - 326961*l**2 - 50987427*l/2 + 25820676 = 0?
-217896, -79, 1
Let 4461*w**2/10 - 58094*w/5 + 2626/5 = 0. Calculate w.
202/4461, 26
Solve -d**3/7 - 2879*d**2/7 + 63990*d/7 + 69624 = 0 for d.
-2901, -6, 28
Factor 20*n**2 + 60146432*n - 24058576.
4*(n + 3007322)*(5*n - 2)
Suppose -3*i**2 - 7731*i + 3271170 = 0. What is i?
-2947, 370
Let c**3 - 6069127*c**2 + 9208572600968*c + 9208578670096 = 0. What is c?
-1, 3034564
Determine z so that 5*z**4 + 9655*z**3 + 1060440*z**2 - 3995126100*z + 3994056000 = 0.
-1230, 1, 528
Factor -2*v**2/11 - 8766216*v/11 - 9605817869832/11.
-2*(v + 2191554)**2/11
Factor 2*z**2/3 + 16175820*z + 98121432252150.
2*(z + 12131865)**2/3
Solve 2*y**2 - 40627632*y + 206325560240928 = 0 for y.
10156908
Find t such that -6*t**3/7 + 961056*t**2/7 - 38480681952*t/7 - 307906966272/7 = 0.
-8, 80092
Suppose j**3/7 + 22520*j**2/7 - 992332*j/7 + 10920976/7 = 0. Calculate j.
-22564, 22
Suppose l**3/3 - 20068*l**2/3 + 89874085*l/3 + 37069399150 = 0. Calculate l.
-1002, 10535
Factor u**3/7 - 194794*u**2/7 + 584375*u/7 - 389582/7.
(u - 194791)*(u - 2)*(u - 1)/7
Suppose -3*h**5 - 8268*h**4 + 15*h**3 + 41340*h**2 - 12*h - 33072 = 0. What is h?
-2756, -2, -1, 1, 2
Determine u so that -43*u**3/2 + 42913*u**2/2 - 127469*u - 2976 = 0.
-1/43, 6, 992
Factor -3*a**2/5 - 126291*a/5 - 3281538/5.
-3*(a + 26)*(a + 42071)/5
Determine o, given that 2*o**2/7 - 3554674*o/7 + 1015620 = 0.
2, 1777335
Find o such that -714*o**5 - 161884*o**4 + 2610130*o**3/7 + 2307160*o**2/7 + 81944*o + 43968/7 = 0.
-229, -2/7, -8/51, 3
Determine y so that -6*y**5 - 26297*y**4 - 48138*y**3 + 232308*y**2 + 503872*y + 249717 = 0.
-4381, -3, -1, 19/6
Factor -115990*q**2 + 107522715*q + 13905.
-5*(q - 927)*(23198*q + 3)
Find i such that i**3 - 40068*i**2 + 921057*i - 880990 = 0.
1, 22, 40045
Suppose 2*u**3/5 - 2231262*u**2/5 + 13387486*u/5 + 3123750 = 0. What is u?
-1, 7, 1115625
Suppose -2*a**4/5 - 13121524*a**3/5 - 21521799010322*a**2/5 = 0. What is a?
-3280381, 0
Find i such that -2*i**5/11 - 3005878*i**4/11 + 6*i**3/11 + 9017630*i**2/11 - 6011756*i/11 = 0.
-1502939, -2, 0, 1
Determine m so that -218405*m**5 + 8078895*m**4 - 62604910*m**3 - 71581270*m**2 - 680685*m - 1625 = 0.
-1, -1/209, 13, 25
Suppose 144*z**4 + 26976*z**3 + 1237780*z**2 - 2119500*z + 891000 = 0. Calculate z.
-99, -90, 5/6
Factor 3*f**3 - 79323*f**2 - 1190568*f + 1269888.
3*(f - 26456)*(f - 1)*(f + 16)
Factor -o**2/5 + 495572*o/5 + 13381173/5.
-(o - 495599)*(o + 27)/5
Find q such that 2*q**2 - 6258959*q - 6258961 = 0.
-1, 6258961/2
What is c in -4*c**2 - 550484*c - 270962952 = 0?
-137127, -494
Solve -3*b**5 - 8046*b**4 - 175956*b**3 - 1054248*b**2 - 2362752*b - 1787520 = 0 for b.
-2660, -14, -4, -2
Solve -z**2/3 + 7579*z/3 - 9291058/3 = 0 for z.
1538, 6041
Factor -408895522562*y**2/3 + 7234544*y/3 - 32/3.
-2*(452159*y - 4)**2/3
Solve 2*r**4/13 + 42480*r**3/13 + 224502618*r**2/13 - 11340799780*r/13 - 48952522800/13 = 0 for r.
-10645, -4, 54
Factor 3*k**2/8 - 13173*k/4 + 6585.
3*(k - 8780)*(k - 2)/8
Factor p**3/6 + 60*p**2 + 32009*p/6 + 47515.
(p + 10)*(p + 129)*(p + 221)/6
Solve -4*m**4/5 + 832*m**3 - 20652*m**2/5 - 49824*m/5 + 29808 = 0 for m.
-3, 2, 6, 1035
Factor 2*y**2 - 353242*y + 69863508.
2*(y - 176423)*(y - 198)
What is o in -5*o**2/6 - 7739765*o/6 = 0?
-1547953, 0
Find p such that -9350*p**5 + 60735*p**4 - 74540*p**3 - 89145*p**2 + 55720*p + 240 = 0.
-1, -4/935, 1/2, 3, 4
Let 2*g**2/5 + 85236*g/5 + 170432 = 0. What is g?
-42608, -10
Factor j**2 + 10707*j - 2103700.
(j - 193)*(j + 10900)
Solve 2*h**4/5 + 112*h**3/5 - 2272*h**2/5 + 3072*h/5 + 55296/5 = 0 for h.
-72, -4, 8, 12
Suppose -41216*z**5 + 3662048*z**4 - 75607489*z**3 - 255235943*z**2 - 180246990*z - 4321800 = 0. What is z?
-2, -1, -4/161, 735/16
Solve -13*q**5/7 + 18827*q**4/7 - 8128720*q**3/7 + 950378568*q**2/7 - 33225242544*q/7 + 7616851632/7 = 0.
3/13, 78, 646
Suppose 355*b**4 + 3965*b**3 - 10815*b**2 - 122985*b + 330480 = 0. Calculate b.
-9, 3, 272/71
Find z such that 4*z**4 + 5780*z**3 - 655976*z**2 + 2554416