7
Factor -l**2/8 - 204657*l/8 - 409282.
-(l + 16)*(l + 204641)/8
Let 3*r**5 + 32136*r**4 - 195192*r**3 - 24279264*r**2 + 312536880*r = 0. What is r?
-10718, -30, 0, 18
Determine m so that 4*m**4 + 411252*m**3 - 64228320*m**2 + 2505853584*m = 0.
-102969, 0, 78
Factor 4*i**3 - 1355892*i**2 + 10846944*i - 21693760.
4*(i - 338965)*(i - 4)**2
Solve o**5/5 - 4958*o**4/5 - 390891*o**3/5 - 9638568*o**2/5 - 15547356*o - 197431344/5 = 0.
-33, -6, 5036
Factor z**2/3 - 3424*z/3 + 537680.
(z - 2860)*(z - 564)/3
Determine v so that 2*v**4/9 - 295612*v**3/9 + 1478024*v**2/9 - 689740*v/3 + 98534 = 0.
1, 3, 147801
Find b, given that 32*b**2/9 - 742337*b/9 + 23198/9 = 0.
1/32, 23198
Find s such that 4*s**2 - 151272*s - 322225920 = 0.
-2022, 39840
Factor -4*p**3 - 192828*p**2 - 2318603004*p + 128107135420.
-4*(p - 55)*(p + 24131)**2
Find d such that -20*d**3 - 4198*d**2/5 - 3814*d/5 + 8364/5 = 0.
-41, -2, 51/50
Factor -2*a**2 - 10620996*a + 10620998.
-2*(a - 1)*(a + 5310499)
Suppose o**4/5 + 11446972*o**3/5 - 9157580*o**2 + 45787904*o/5 = 0. Calculate o.
-11446976, 0, 2
Find i such that -14*i**5 - 48*i**4 + 154*i**3 + 588*i**2 + 400*i = 0.
-4, -2, -1, 0, 25/7
Suppose f**4/2 + 37631*f**3 + 903021*f**2/2 + 790130*f + 376250 = 0. What is f?
-75250, -10, -1
Determine p, given that 25*p**3/4 + 130534138*p**2 + 2726265810229949*p/4 + 109050630738361/2 = 0.
-10442731, -2/25
Find t such that 7090381351729*t**2/2 - 10651108*t + 8 = 0.
4/2662777
Determine s, given that -4*s**3/3 + 12225088*s**2/3 = 0.
0, 3056272
Solve 18*h**2 - 34018*h - 37820 = 0.
-10/9, 1891
What is q in 3*q**3 + 306330*q**2 - 919029*q - 1225356 = 0?
-102113, -1, 4
Let -27*h**5/5 - 8142*h**4 - 3705234*h**3/5 + 8774105496*h**2/5 - 251109091935*h + 55715370750 = 0. Calculate h.
-975, 2/9, 221
What is z in -4*z**2 + 738391992*z - 34076420865608004 = 0?
92298999
Factor x**2/3 - 7764*x + 15090875/3.
(x - 22625)*(x - 667)/3
Let -2*y**3/7 - 99422*y**2/7 - 5759508*y/7 + 11916720/7 = 0. What is y?
-49653, -60, 2
Find x such that -x**4 + 553*x**3 + 19638*x**2 - 32295076*x - 64664264 = 0.
-217, -2, 386
Let -6*h**4 - 13019529*h**3 - 19529280*h**2 + 3*h + 6509760 = 0. Calculate h.
-2169920, -1, 1/2
Find z, given that 33101*z**2/2 - 33094*z - 14 = 0.
-14/33101, 2
Find y such that -5*y**2 + 30945*y + 620900 = 0.
-20, 6209
Solve 676*x**5 + 53300*x**4 + 1214412*x**3 + 6354684*x**2 + 5860512*x - 13483584 = 0.
-36, -51/13, 1
Determine y, given that 5*y**3 + 152705*y**2 + 92162820*y - 184936500 = 0.
-29925, -618, 2
Let -2*v**3/9 - 1558*v**2/3 + 3796988*v/9 - 6289280/3 = 0. What is v?
-2976, 5, 634
Factor 4*n**5 - 102980*n**4 + 662753532*n**3 + 662856516*n**2.
4*n**2*(n - 12873)**2*(n + 1)
Let -q**3/4 + 2491*q**2 - 575389*q/4 + 4165473/2 = 0. What is q?
29, 9906
Solve 4*f**2 - 1559620*f - 32753784 = 0 for f.
-21, 389926
Solve 5*m**3 - 60560*m**2 + 188008100*m - 27874457520 = 0.
156, 5978
Suppose 5*z**4 - 245*z**3 + 1035*z**2 + 29645*z - 198440 = 0. Calculate z.
-11, 8, 11, 41
Suppose 4*f**4 + 30148*f**3 + 3384888*f**2 = 0. Calculate f.
-7423, -114, 0
Let 4*g**3/5 + 961408*g**2 - 490349292*g/5 + 12504172248/5 = 0. Calculate g.
-1201862, 51
Factor -t**3 - 14999*t**2 - 3672248*t + 7404500.
-(t - 2)*(t + 251)*(t + 14750)
Factor 2*c**4/9 + 6670*c**3/9 + 5524246*c**2/9 - 61576438*c/9.
2*c*(c - 11)*(c + 1673)**2/9
Solve 2*n**2/7 + 30272*n/7 + 450930 = 0.
-15031, -105
Find a, given that 300*a**4 - 2047732935*a**3/2 - 1586993271*a**2/2 - 389069337*a/2 - 30716001/2 = 0.
-3/8, -1/5, 3412889
Let -4*r**4/3 + 708652*r**3 + 74412848*r**2/3 + 90713264*r + 263635904/3 = 0. Calculate r.
-31, -2, 531524
Determine x, given that -3*x**2/5 - 24152928*x/5 + 72458811/5 = 0.
-8050979, 3
Solve -4*a**2 - 137785010*a + 68892506 = 0.
-34446253, 1/2
Solve 10*u**3/7 + 2204*u**2/7 - 22234*u/7 - 5060 = 0.
-230, -7/5, 11
Determine z so that -3*z**3 - 27810705*z**2 - 64453012243125*z - 322264365948375 = 0.
-4635115, -5
Factor 2*b**4 + 16788*b**3 + 67126*b**2 + 50340*b.
2*b*(b + 1)*(b + 3)*(b + 8390)
Factor -10*z**2 + 73502*z + 7676796.
-2*(z + 103)*(5*z - 37266)
Factor 29*a**2/8 - 4217*a/8 + 14049/4.
(a - 7)*(29*a - 4014)/8
Let -3*p**2 - 871881*p - 871878 = 0. Calculate p.
-290626, -1
Determine w, given that w**4 - 85529*w**3 + 1828417509*w**2 + 16463541629*w - 18291873610 = 0.
-10, 1, 42769
Factor -2*u**2 + 9280*u - 10359800.
-2*(u - 2770)*(u - 1870)
Determine c, given that -2*c**2 - 3352*c + 197562 = 0.
-1733, 57
Find c such that -15*c**3 + 39964746*c**2 - 79929483*c/5 + 7992948/5 = 0.
1/5, 2664316
Determine y so that -2*y**5 + 45018*y**4 + 540532*y**3 - 630564*y**2 - 540530*y + 585546 = 0.
-13, -1, 1, 22521
Factor 2*p**2/5 - 1797258*p - 8986292/5.
2*(p - 4493146)*(p + 1)/5
Let -153*b**5/4 + 234713*b**4/4 - 60052981*b**3/2 + 10271855769*b**2/2 - 21891601277*b/4 + 1467761141/4 = 0. Calculate b.
11/153, 1, 511
Factor 4*h**4 - 36853992*h**3 + 84888803373556*h**2 - 1188437829698448*h + 4159526083494544.
4*(h - 4606742)**2*(h - 7)**2
Determine a, given that 680511492*a**4 - 695583181*a**3 + 15155501*a**2 - 83816*a + 4 = 0.
1/20772, 2/181, 1
Solve 2116*g**4/7 - 100556*g**3/7 + 231800*g**2/7 + 56576*g - 973440/7 = 0.
-2, 52/23, 45
Find r, given that -2*r**2/7 + 12593544*r/7 + 1799078 = 0.
-1, 6296773
What is w in 110*w**4/7 + 4808*w**3 - 102974*w**2/7 + 10240*w - 2472/7 = 0?
-309, 2/55, 1, 2
Suppose 2*l**5 - 10302*l**4 + 266926*l**3 - 2184394*l**2 + 5863968*l - 4961000 = 0. What is l?
2, 11, 5125
Find a such that 4*a**2 - 12096*a - 11722048 = 0.
-772, 3796
Solve -4*i**4 + 928*i**3 - 14164*i**2 + 74040*i - 129600 = 0.
5, 6, 216
Factor -2*i**3/9 + 1826*i**2 - 3823920*i + 297875232.
-2*(i - 4068)**2*(i - 81)/9
Solve l**3/2 + 859127*l**2/2 - 18901157*l/2 + 103957029/2 = 0 for l.
-859149, 11
Suppose 2*k**4/21 + 13156*k**3/3 - 460592*k**2/7 + 355324*k/3 - 1197586/21 = 0. Calculate k.
-46061, 1, 13
Factor w**2/2 + 2330910*w + 2716570714050.
(w + 2330910)**2/2
Solve 3*t**5 - 30102*t**4 - 361503*t**3 - 1536774*t**2 - 2652000*t - 1446624 = 0 for t.
-4, -3, -1, 10046
Solve k**5/6 + 170*k**4/3 + 5018*k**3/3 + 9168*k**2 - 22752*k - 177408 = 0 for k.
-308, -24, -6, 4
Solve -54*l**5/7 + 620286*l**4/7 - 5359391300*l**3/21 + 29796211628*l**2/7 + 6687549090*l/7 + 1118267650/21 = 0 for l.
-1/9, 17, 5735
Solve 2*f**5 + 10960*f**4 + 16269468*f**3 + 3353650568*f**2 - 20824782734*f - 24162174792 = 0.
-2617, -252, -1, 7
Determine g, given that 30*g**4 - 881337*g**3 + 2555448*g**2 + 5199609*g - 6873750 = 0.
-2, 1, 39/10, 29375
Suppose 79*l**3 - 177509*l**2/3 + 174280*l/3 + 2992/3 = 0. Calculate l.
-4/237, 1, 748
Find d such that -2*d**2 - 199360*d - 4968051200 = 0.
-49840
Factor 4*a**2 - 1131068*a + 1131064.
4*(a - 282766)*(a - 1)
Determine h so that -h**3/8 - 15607*h**2/8 + 468885*h/8 - 3518325/8 = 0.
-15637, 15
Determine f, given that -55*f**5 - 1620*f**4 - 12080*f**3 + 8730*f**2 + 159975*f - 87750 = 0.
-15, -13, -5, 6/11, 3
Factor p**3/6 + 229*p**2/6 + 4117*p/2 + 64713/2.
(p + 33)*(p + 37)*(p + 159)/6
Solve 100*h**4 - 38278*h**3 - 8526*h**2 + 38278*h + 8426 = 0 for h.
-1, -11/50, 1, 383
Solve x**5/4 + 85035*x**4/4 - 42519*x**3/2 - 42518*x**2 = 0.
-85036, -1, 0, 2
Let 2*s**5/17 - 3408*s**4/17 + 315160*s**3/17 - 616704*s**2/17 = 0. What is s?
0, 2, 96, 1606
Suppose -9*k**5 + 52651*k**4 - 76103919*k**3 - 2638338495*k**2 - 2276554904*k + 285627012 = 0. Calculate k.
-33, -1, 1/9, 2942
Solve 4*t**2/3 + 75859888*t/3 + 359670162960784/3 = 0 for t.
-9482486
Let 3*r**4/2 - 283287*r**3/2 + 3965469*r**2/2 - 3682185*r/2 = 0. Calculate r.
0, 1, 13, 94415
Solve 2*f**4 - 45606*f**3 + 547002*f**2 - 409914*f - 7384284 = 0.
-3, 6, 9, 22791
Let 8628*s**2 + 8356*s - 272 = 0. What is s?
-1, 68/2157
Determine f, given that -2*f**3/11 - 4162*f**2 + 4506042*f/11 + 413802 = 0.
-22989, -1, 99
Let -2*p**2/9 - 63328*p/3 + 189986/9 = 0. What is p?
-94993, 1
Solve n**2 - 206052*n - 824224 = 0 for n.
-4, 206056
Find p, given that 80*p**4 - 286760*p**3 + 1574645*p**2 + 411585*p = 0.
-1/4, 0, 23/4, 3579
Factor -3*a**2 - 100224*a - 3504165.
-3*(a + 35)*(a + 33373)
Let 4*r**3 - 3111224*r**2 + 12444848*r - 12444832 = 0. What is r?
2, 777802
Factor 2*w**2/9 - 364762*w/3 - 2188580/9.
2*(w - 547145)*(w + 2)/9
Factor 4*z**5/3 + 8340*z**4 + 66656*z**3 + 399808*z**2/3.
4*z**2*(z + 4)**2*(z + 6247)/3
Solve 3*q**2 - 2244084