2
Factor 5*c**3 - 3614900*c**2.
5*c**2*(c - 722980)
Determine z so that -10*z**5 + 14975*z**4 - 1171245*z**3 + 24386680*z**2 - 34558400*z + 11328000 = 0.
1/2, 1, 40, 1416
Suppose -5*j**5 + 245*j**4 - 3810*j**3 + 21130*j**2 - 20185*j - 45375 = 0. Calculate j.
-1, 3, 11, 25
Factor -t**4 + 515*t**3 - 28538*t**2 + 28024*t.
-t*(t - 452)*(t - 62)*(t - 1)
Solve -5*q**2 - 23670*q + 94760 = 0.
-4738, 4
Let -1682*n**2 + 38826708*n - 224065584738 = 0. Calculate n.
334713/29
What is s in 2*s**5 + 6408*s**4 + 2680330*s**3 - 3931331836*s**2 + 747888023040*s + 1511522713600 = 0?
-1921, -2, 320
Factor 2*k**3/15 + 4462984*k**2/5 + 8925966*k/5 + 13388948/15.
2*(k + 1)**2*(k + 6694474)/15
Factor 2*n**3/5 - 42142*n**2 + 5549521934*n/5 + 16650462246/5.
2*(n - 52679)**2*(n + 3)/5
Let -2*z**4 - 16044*z**3 - 144288*z**2 - 432756*z - 432702 = 0. What is z?
-8013, -3
What is u in u**2/3 - 5222*u + 4308080/3 = 0?
280, 15386
Determine p so that -16*p**5 + 12548*p**4 + 73104*p**3 - 335348*p**2 + 306592*p - 56880 = 0.
-9, 1/4, 1, 2, 790
Solve 5*n**5 - 455*n**4 - 68995*n**3 + 1565515*n**2 - 11210710*n + 26438440 = 0.
-94, 7, 164
Solve 3*k**3/7 + 429*k**2/7 + 13182*k/7 - 59784/7 = 0 for k.
-94, -53, 4
Determine n, given that 8*n**5/3 + 8432*n**4/3 + 294558*n**3 + 24836074*n**2/3 + 24177532*n/3 + 1996560 = 0.
-940, -59, -54, -1/2
Suppose 2*x**4/9 + 16322*x**3/9 + 48952*x**2/9 + 32632*x/9 = 0. Calculate x.
-8158, -2, -1, 0
Determine l, given that 2*l**3/7 - 10036210*l**2/7 + 10036204*l/7 + 2867488 = 0.
-1, 2, 5018104
Solve 4*m**5 - 1124*m**4 + 5532*m**3 - 3276*m**2 - 9936*m = 0.
-1, 0, 3, 276
Find l such that -2*l**4/9 - 20254*l**3 - 1385084800*l**2/3 - 78884042072*l/9 = 0.
-45562, -19, 0
Factor 5*r**2 - 278896850*r - 557793720.
5*(r - 55779372)*(r + 2)
Factor 2*y**4/9 + 379976*y**3/3 - 2279864*y**2/9.
2*y**2*(y - 2)*(y + 569966)/9
Factor -w**4/7 - 186337*w**3/7 - 8682511871*w**2/7 - 199599212927*w/7.
-w*(w + 23)*(w + 93157)**2/7
Solve -4*w**4 - 568764*w**3 + 39832532*w**2 - 77958756*w + 38694992 = 0 for w.
-142261, 1, 68
Factor 2*n**2/9 - 53072*n/9 - 4525570/9.
2*(n - 26621)*(n + 85)/9
Factor -2697*c**3 - 32363*c**2/3 - 32360*c/3 + 4/3.
-(c + 2)**2*(8091*c - 1)/3
Let 1734*m**2/7 + 8080*m/21 = 0. Calculate m.
-4040/2601, 0
Suppose -i**2 - 177618*i - 83966256 = 0. Calculate i.
-177144, -474
Solve 6*t**5/5 + 136*t**4 - 3114042*t**3/5 - 995389836*t**2/5 - 263498872*t + 264329520 = 0 for t.
-455, -2, 2/3, 798
Factor 3*p**2 + 7485*p + 1975500.
3*(p + 300)*(p + 2195)
Factor -j**3/2 - 112*j**2 + 89*j/2 + 129648.
-(j - 32)*(j + 37)*(j + 219)/2
Determine t so that 2*t**4/5 - 1666*t**3/5 + 95446*t**2 - 10875270*t + 426711600 = 0.
105, 295, 328
Suppose -5*v**2 + 6760580*v + 628777185 = 0. Calculate v.
-93, 1352209
Determine n, given that 2*n**3/9 + 1125866*n**2/9 + 9006640*n/3 + 18013088 = 0.
-562909, -12
Solve -2*i**5/13 + 7838*i**4/13 + 165336*i**3/13 + 568224*i**2/13 - 3404160*i/13 = 0.
-12, 0, 3, 3940
Solve 1495*t**5 - 11318641*t**4/2 + 7140170734*t**3 - 3001244452112*t**2 - 1506427809704*t - 2009916728 = 0 for t.
-1/2, -2/1495, 1262
Factor 125*s**4 + 208278225*s**3 + 166622520*s**2 + 33324500*s.
5*s*(s + 1666225)*(5*s + 2)**2
Let 8780*k**4 - 465364*k**3 - 470653*k**2 - 117240*k + 324 = 0. What is k?
-1/2, 6/2195, 54
Let -2*v**2/11 - 672198*v/11 - 2321876 = 0. Calculate v.
-336061, -38
Solve -3*l**3/2 + 12008598*l**2 - 48068832659055*l/2 + 48068784624675 = 0 for l.
2, 4002865
Find g such that 19628*g**4 + 1079548*g**3 + 13092316*g**2 - 49516108*g - 20184 = 0.
-29, -2/4907, 3
Suppose -5*n**2 - 5340*n - 1163575 = 0. What is n?
-763, -305
Let n**4/8 + 597685*n**3/8 + 59537395125*n**2/4 + 1976839973643375*n/2 - 4942472052166875 = 0. Calculate n.
-199230, 5
Solve 8*n**4 - 2628*n**3 + 176808*n**2 + 1923712*n = 0.
-19/2, 0, 112, 226
Let -4085658*d**4 + 968092711398*d**3 - 31740741708*d**2 + 1040680024*d/3 - 1263728 = 0. What is d?
2/183, 236949
Solve -27450*i**5 - 51135*i**4 + 34966*i**3 + 51107*i**2 - 7516*i + 28 = 0.
-2, -1, 7/1830, 2/15, 1
Factor 3*b**2/2 - 244965831*b/2.
3*b*(b - 81655277)/2
Factor -2*p**2/3 - 3260*p/3 - 44464.
-2*(p + 42)*(p + 1588)/3
Factor m**2/8 - 4445*m/8 + 1908483/4.
(m - 3282)*(m - 1163)/8
Factor -11649524*b**2 - 58247618*b + 10.
-2*(b + 5)*(5824762*b - 1)
Find x, given that -x**5/3 - 231385*x**4/3 - 13384638859*x**3/3 + 13385795789*x**2/3 + 53538555452*x/3 - 53539480996/3 = 0.
-115693, -2, 1, 2
Suppose 2*t**2 - 34964*t - 78271840 = 0. What is t?
-2008, 19490
Let 3*g**3 - 982644*g**2 + 80386116015*g + 13048352058150 = 0. Calculate g.
-162, 163855
Suppose -2*g**4/3 - 604988*g**3/3 - 15251041646*g**2 - 274499995312*g/3 - 228747475360/3 = 0. Calculate g.
-151244, -5, -1
Solve 2*b**5 - 1628*b**4 + 327986*b**3 + 1364296*b**2 - 5248288*b - 21411968 = 0 for b.
-4, 4, 409
Factor 4*i**2 - 56420060*i - 56420064.
4*(i - 14105016)*(i + 1)
What is q in -q**5 - 5893*q**4 - 52923*q**3 + 194137*q**2 - 205928*q + 70608 = 0?
-5884, -12, 1
Solve -10*y**3 + 24595*y**2 - 1333655*y - 1358260 = 0.
-1, 113/2, 2404
Determine i, given that 2*i**5/11 + 136*i**4/11 + 234*i**3 + 4688*i**2/11 - 117512*i/11 + 193440/11 = 0.
-31, -30, -13, 2, 4
Find f such that 28*f**3 + 3835135*f**2 + 4246011*f + 410904 = 0.
-136968, -1, -3/28
Let d**2/6 + 31805*d/6 + 15902/3 = 0. Calculate d.
-31804, -1
Determine x, given that x**2 - 2118*x + 1008585 = 0.
723, 1395
Let 21*l**3/2 + 3176949*l**2 - 9077031*l/2 + 1361556 = 0. Calculate l.
-302568, 3/7, 1
Determine v, given that 2*v**5/5 + 1672*v**4/5 - 280792*v**3/5 - 594624*v**2 = 0.
-978, -10, 0, 152
Determine x, given that x**4/3 + 1747432*x**3/3 + 763168180102*x**2/3 - 61587819708888*x + 3726579110904243 = 0.
-873837, 121
Factor 5*z**2 + 451870*z - 37539655.
5*(z - 83)*(z + 90457)
Factor x**2 - 10991*x - 4062942.
(x - 11349)*(x + 358)
Find x such that 3*x**5/2 + 417*x**4/2 - 28323*x**3/2 + 411747*x**2/2 - 1104558*x + 1975680 = 0.
-192, 4, 7, 35
Suppose -2*b**4 - 2386*b**3 - 496182*b**2 - 28654326*b = 0. What is b?
-947, -123, 0
Factor 4*b**3 + 421*b**2 + 8911*b + 16170.
(b + 2)*(b + 77)*(4*b + 105)
Suppose -2*a**5/11 - 11944*a**4/11 + 930400*a**3/11 - 6929220*a**2/11 + 17745282*a/11 - 15025716/11 = 0. Calculate a.
-6049, 2, 3, 69
Let 5*z**4 + 229935*z**3 + 689740*z**2 - 919680*z = 0. What is z?
-45984, -4, 0, 1
What is f in f**4 - 404955*f**3 + 40998150381*f**2 - 204983057825*f + 245976753750 = 0?
2, 3, 202475
Solve -2*r**4/17 - 10*r**3 - 628*r**2/17 + 5680*r = 0.
-71, -34, 0, 20
Solve -5*f**3 - 57175*f**2 + 1145000*f - 5727500 = 0.
-11455, 10
Let 9*p**4 - 61891*p**3/2 + 3579923*p**2/6 - 393185*p/3 = 0. What is p?
0, 2/9, 115/6, 3419
Let 20*a**4 - 40385*a**3 + 1520875*a**2 - 10718515*a + 2585205 = 0. Calculate a.
1/4, 9, 29, 1981
Let -2*b**5 + 25382*b**4 + 431890*b**3 + 2312562*b**2 + 3736152*b = 0. What is b?
-7, -3, 0, 12708
Factor -104*j**2 + 266738052*j + 10259156.
-4*(j - 2564789)*(26*j + 1)
Factor -2*g**2/5 - 5772*g - 17052530.
-2*(g + 4145)*(g + 10285)/5
Find v such that -4*v**2 + 2945004*v + 2945008 = 0.
-1, 736252
Solve 5*q**2/2 + 6375*q/2 - 2880865 = 0 for q.
-1886, 611
Let -p**2 - 16819*p + 30232566 = 0. Calculate p.
-18457, 1638
Let 10988*j**2 - 65800*j - 768 = 0. Calculate j.
-32/2747, 6
Solve 4*b**5/3 + 392*b**4/3 - 15044*b**3 + 325216*b**2/3 + 787376*b/3 + 138880 = 0.
-168, -1, 10, 62
Factor -3*t**3/8 - 1401*t**2/2 + 1925505*t/8 - 76336749/4.
-3*(t - 153)**2*(t + 2174)/8
Factor -4*c**2 - 9371040*c - 5488524417600.
-4*(c + 1171380)**2
Suppose 4*n**5 - 848*n**4 + 10488*n**3 - 27808*n**2 - 10492*n + 28656 = 0. Calculate n.
-1, 1, 4, 9, 199
Factor -2*m**5/7 - 1100*m**4/7 + 2509200*m**3/7 - 1010344000*m**2/7 + 123414560000*m/7.
-2*m*(m - 340)**3*(m + 1570)/7
Factor -3*q**2/5 - 197988846*q/5 - 3266631928367643/5.
-3*(q + 32998141)**2/5
Factor -4*g**3/3 - 7336*g**2/3 + 1046444*g/3.
-4*g*(g - 133)*(g + 1967)/3
Let -2*u**5/11 + 1478*u**4/11 - 208878*u**3/11 - 639982*u**2/11 - 5936*u/11 + 853320/11 = 0. What is u?
-2, 1, 195, 547
Suppose 2*b**5/3 - 1026*b**4 + 418810*b**3 - 54928850*b**2/3 + 66603000*b = 0. Calculate b.
0, 4, 45, 745
Determine s, given that 4*s**4 - 796*s**3 - 80960*s**2 - 726000*s = 0.
-66, -10, 0, 275
Suppose -5*j**3/4 - 17864105*j**2 + 71456435*j - 71456440 = 0. What is j?
-14291288, 2
Find q such that 2*q**4/5 + 168582*q**3/5 + 