8
Find u such that u**2 + 9544*u - 1316480 = 0.
-9680, 136
Determine d so that d**2 - 1289302*d + 2578600 = 0.
2, 1289300
Determine z, given that 2*z**2 - 1014*z + 71740 = 0.
85, 422
Determine m, given that -3*m**5 - 153918*m**4 + 36451407*m**3 - 2078807958*m**2 - 8795256480*m - 6679843200 = 0.
-51542, -3, -1, 120
Factor 2*k**4 - 4520286*k**3 + 4520284*k**2.
2*k**2*(k - 2260142)*(k - 1)
Factor -2*l**2 + 17056*l - 27416942.
-2*(l - 6379)*(l - 2149)
Determine n so that 6896721*n**3/4 - 13793449*n**2/4 + 6896735*n/4 - 7/4 = 0.
7/6896721, 1
Factor 3*y**3/5 + 1442991*y**2/5 + 34703284200*y - 104112450000.
3*(y - 3)*(y + 240500)**2/5
Factor -b**3 + 2821*b**2 - 67272*b + 402768.
-(b - 2797)*(b - 12)**2
Determine n so that -n**4 + 105623*n**3 + 422508*n**2 = 0.
-4, 0, 105627
Find i, given that -2*i**3/3 - 445888*i**2/3 + 8918360*i/3 - 44592800/3 = 0.
-222964, 10
Suppose f**5/4 - 161*f**4/4 - 7803*f**3/2 - 15115*f**2 - 14950*f = 0. What is f?
-65, -2, 0, 230
Determine q, given that -3*q**5/7 - 40655988*q**4/7 - 137742609311868*q**3/7 - 1101938923008288*q**2/7 - 2203876545025728*q/7 = 0.
-6775994, -4, 0
Suppose -5*j**4 - 211200*j**3 + 23913770*j**2 - 663899520*j - 688024485 = 0. What is j?
-42353, -1, 57
Find a, given that 5*a**3 - 3770*a**2 - 101055*a - 269100 = 0.
-23, -3, 780
Factor -w**3 - 42370096*w**2 - 448806428242640*w - 3590448714255488.
-(w + 8)*(w + 21185044)**2
Factor 80*x**3 - 922716*x**2 + 2721316*x.
4*x*(x - 11531)*(20*x - 59)
Suppose -623*r**5/4 + 47377*r**4/4 - 292115*r**3 + 2119312*r**2 + 5376904*r - 254852 = 0. What is r?
-2, 29/623, 26
Suppose -4*h**3 - 5592*h**2 - 577008*h - 1131680 = 0. What is h?
-1286, -110, -2
Solve 2*h**2/5 - 48144*h/5 + 29582542/5 = 0 for h.
631, 23441
What is p in 2*p**3 + 2909560*p**2 - 37824594*p + 34915032 = 0?
-1454793, 1, 12
Suppose 2*t**5/5 + 84*t**4/5 - 640*t**3 + 4580*t**2 + 3198*t/5 - 22984/5 = 0. Calculate t.
-68, -1, 1, 13
Suppose -2*f**4/7 - 4306*f**3/7 - 1963302*f**2/7 - 3913694*f/7 - 1954696/7 = 0. Calculate f.
-1499, -652, -1
Factor 38*x**2 + 2443*x/2 + 176.
(x + 32)*(76*x + 11)/2
Factor 4*m**2/7 + 3258864*m - 296557300/7.
4*(m - 13)*(m + 5703025)/7
Factor -5*h**3 - 2660*h**2 + 113845*h - 317460.
-5*(h - 37)*(h - 3)*(h + 572)
Let 3*x**4/5 - 93*x**3 - 359886*x**2/5 + 369528*x/5 + 1441152 = 0. Calculate x.
-278, -4, 5, 432
What is b in -4*b**2 + 25832*b + 25836 = 0?
-1, 6459
Determine z so that 5*z**2 - 1619470*z + 72866025 = 0.
45, 323849
Solve -k**5/2 - 405*k**4/2 + 3566*k**3 - 8992*k**2 - 54960*k - 42200 = 0 for k.
-422, -2, -1, 10
Determine c, given that -5*c**5 + 13935*c**4 - 2537275*c**3 + 119563665*c**2 + 2537280*c - 119577600 = 0.
-1, 1, 96, 2595
Suppose -y**2/3 + 12456064*y - 116365147779072 = 0. Calculate y.
18684096
Suppose 36*i**2 - 44280*i - 29536 = 0. Calculate i.
-2/3, 3692/3
Let -c**4 + 15*c**3 + 8202*c**2 + 168896*c - 3974880 = 0. What is c?
-52, 14, 105
Suppose l**4 - 4992654*l**3 + 6231648490928*l**2 + 4992654*l - 6231648490929 = 0. What is l?
-1, 1, 2496327
Factor -i**2 - 12845*i - 64200.
-(i + 5)*(i + 12840)
Factor -5*d**2 + 46445*d + 2240880.
-5*(d - 9337)*(d + 48)
Factor b**2/3 + 2916236*b + 6378324305772.
(b + 4374354)**2/3
Find n, given that -n**2/8 - 5507*n/8 + 737877/2 = 0.
-5999, 492
Factor k**2/4 + 927*k/2 + 163773/4.
(k + 93)*(k + 1761)/4
Suppose -2*u**2 - 85537258*u + 171074524 = 0. What is u?
-42768631, 2
Find m such that 2*m**4 - 130*m**3 - 2432*m**2 + 2560*m = 0.
-16, 0, 1, 80
Determine l so that -2*l**2 + 18676*l + 1298166 = 0.
-69, 9407
Factor -u**4/4 + 10183995*u**3/4 - 8642805208659*u**2 + 9779766233720607396*u + 88018596172563402672.
-(u - 3394668)**3*(u + 9)/4
Suppose 15*i**2 - 162520*i + 110317905 = 0. What is i?
2183/3, 10107
Find a such that 2*a**2 - 6342*a - 2082600 = 0.
-300, 3471
Suppose 4*o**4 - 2400*o**3 + 242148*o**2 - 225400*o - 1438656 = 0. Calculate o.
-2, 3, 127, 472
Determine d so that 2*d**4/13 - 33006*d**3/13 + 139494990*d**2/13 - 27233191994*d/13 + 27093730008/13 = 0.
1, 204, 8149
Solve -4*r**5 + 7880*r**4 - 373916*r**3 - 4992200*r**2 - 4610400*r = 0.
-10, -1, 0, 60, 1921
Let 39*k**5/5 + 67809*k**4/5 - 90366*k**3/5 - 2828736*k**2/5 + 175392*k = 0. What is k?
-1740, -6, 0, 4/13, 7
Factor -2*r**2 + 35676*r - 6391834.
-2*(r - 17657)*(r - 181)
Solve -3*w**3/2 - 1053777*w**2/2 - 2107536*w - 2107530 = 0.
-351255, -2
Factor -252267116644*g**2 - 120542880*g - 14400.
-4*(251131*g + 60)**2
Solve f**4/7 - 9927*f**3/7 + 24641275*f**2/7 - 3490407*f - 70375340 = 0 for f.
-4, 5, 4963
Suppose -9*f**5 - 672*f**4 - 6888*f**3 - 17022*f**2 + 11361*f + 13230 = 0. What is f?
-63, -7, -5, -2/3, 1
Let 6*q**2/19 - 99896*q/19 - 33584462/19 = 0. What is q?
-989/3, 16979
Determine k, given that -k**5 + 9384*k**4 + 9403*k**3 - 168914*k**2 - 150192*k + 300320 = 0.
-4, -2, 1, 4, 9385
Factor 3*l**2 - 92271*l - 7029924.
3*(l - 30833)*(l + 76)
Let -867*z**3 - 17850*z**2 - 45771*z + 524172 = 0. Calculate z.
-209/17, 4
What is d in -3*d**2/7 - 39663*d/7 + 476388/7 = 0?
-13233, 12
Factor 2*u**3 - 2598*u**2 + 244188*u.
2*u*(u - 1197)*(u - 102)
Suppose 243*m**3 - 67628250*m**2 - 30057036*m - 3339672 = 0. Calculate m.
-2/9, 278306
Solve s**4 + 264386*s**3 + 4758732*s**2 + 28551960*s + 57103488 = 0 for s.
-264368, -6
Factor 5*g**3 + 24015*g**2 - 1434900*g - 2965820.
5*(g - 61)*(g + 2)*(g + 4862)
Determine h, given that 63*h**4 - 9*h**3 - 607*h**2 + 209*h + 744 = 0.
-3, -1, 31/21, 8/3
Let 19*j**5/2 + 3560*j**4 - 235689*j**3/2 + 1105139*j**2 - 2550646*j + 596820 = 0. Calculate j.
-406, 5/19, 3, 14
Let -3*t**5/2 + 9447*t**4/2 - 4393149*t**3 + 1271549145*t**2 + 5112593277*t/2 + 2560699239/2 = 0. Calculate t.
-1, 697, 1757
Factor 3*l**2 - 647203428*l + 34906023101245932.
3*(l - 107867238)**2
Find s, given that -2*s**3/3 - 738094*s**2/3 - 7380790*s/3 - 18451850/3 = 0.
-369037, -5
Find t, given that -68*t**5/3 - 247294*t**4/5 + 1487896*t**3/15 + 5202886*t**2/5 + 4485948*t/5 + 26208/5 = 0.
-2184, -3, -1, -1/170, 6
Solve 4*d**4 + 5556*d**3 + 1918592*d**2 + 5716944*d + 3803904 = 0 for d.
-762, -624, -2, -1
Solve -3*i**5/7 + 4776*i**4/7 + 38484*i**3/7 - 133584*i**2/7 - 1304448*i/7 - 1843200/7 = 0.
-8, -4, -2, 6, 1600
What is a in a**2 + 744626*a + 1489248 = 0?
-744624, -2
Determine d so that 10*d**4 + 3132*d**3 - 133056*d**2 - 75021120*d - 89828352 = 0.
-228, -6/5, 144
Factor l**4 - 17*l**3 + 67*l**2 - 87*l + 36.
(l - 12)*(l - 3)*(l - 1)**2
What is b in b**3/3 - 80939*b**2/3 + 4415700*b = 0?
0, 164, 80775
Factor x**2 + 222082*x + 41494365.
(x + 187)*(x + 221895)
Let -1135*a**4 + 1045*a**3 + 1225*a**2 - 1045*a - 90 = 0. What is a?
-1, -18/227, 1
Suppose -4*i**4/9 + 254624*i**3/9 - 7127120*i**2/9 + 49884352*i/9 = 0. What is i?
0, 14, 63628
Factor -2*o**2/3 + 91480*o/3 + 3301056.
-2*(o - 45848)*(o + 108)/3
What is p in 640*p**3 - 22428*p**2 + 66624*p - 44836 = 0?
1, 11/5, 1019/32
Factor -3*k**3/8 - 95403*k**2/2 + 763296*k - 3053280.
-3*(k - 8)**2*(k + 127220)/8
Factor -2*c**3/5 - 80800608*c**2/5 + 161601222*c/5 - 80800612/5.
-2*(c - 1)**2*(c + 40400306)/5
Find l, given that 4*l**3 + 28848*l**2 + 68836404*l + 54265875160 = 0.
-2611, -1990
Find o such that -3*o**2 + 17880*o - 8442093 = 0.
517, 5443
Solve -4*a**4/3 + 6796*a**3/3 - 2523388*a**2/3 - 1689060*a - 845664 = 0.
-1, 552, 1149
Determine i so that -5*i**5 + 1510*i**4 - 5585*i**3 - 112540*i**2 + 235820*i - 119200 = 0.
-8, 1, 10, 298
Factor 4*w**4 + 184584008*w**3 + 2129453315999988*w**2 - 4258907185752016*w + 2129453685168016.
4*(w - 1)**2*(w + 23073002)**2
Find c, given that -5*c**3 + 145070*c**2 - 1047753660*c - 65519567640 = 0.
-62, 14538
Solve 4*h**4 + 26448*h**3 - 397516*h**2 + 689208*h = 0 for h.
-6627, 0, 2, 13
Suppose 3*f**3/7 - 3921*f**2/7 - 51372*f/7 - 142560/7 = 0. Calculate f.
-9, -4, 1320
Factor 4*w**3 - 966544*w**2 - 48334700*w - 604215000.
4*(w - 241686)*(w + 25)**2
Determine v, given that -v**5/2 - 5169*v**4 - 13374762*v**3 - 79938652*v**2 + 320581296*v + 854001792 = 0.
-5166, -8, -2, 4
Suppose -c**4/4 + 336050*c**3 - 225857188691*c**2/2 - 677580639450*c - 4065501983481/4 = 0. Calculate c.
-3, 672103
Let 125*l**3 + 26699075*l**2 - 10679645*l + 1067965 = 0. Calculate l.
-213593, 1/5
Determine n, given that 2*n**5/3 - 82814*n**4/3 + 939254108*n**3/3 - 1697320590244*n**2/3 + 839328508582690*n/3 + 841026768509858/3 = 0.
-1, 