12*w**2 - 3556516463713176*w/5 = 0. Calculate w.
-24346514, -3, 0
Find k such that 35*k**4/3 + 10228*k**3/3 + 523015*k**2/3 + 7944086*k/3 + 5072912 = 0.
-232, -29, -78/35
Factor f**3 + 5507143*f**2/4 + 947769156505*f/2 - 473884922449/4.
(f + 688393)**2*(4*f - 1)/4
Factor 22*b**2 + 2217016*b + 1007730.
2*(b + 100773)*(11*b + 5)
Factor -5*k**4 + 55315*k**3 - 7562055*k**2 + 260069625*k.
-5*k*(k - 10925)*(k - 69)**2
Suppose -3*q**4/5 + 354600*q**3 - 349284545928*q**2/5 + 22937516088540192*q/5 - 137612522670551856/5 = 0. Calculate q.
6, 196998
Find f such that 3*f**4 + 1259754*f**3 + 132147526323*f**2 - 21167797632480*f + 847034525203200 = 0.
-210039, 80
Solve 2*w**2/7 - 21984*w/7 + 8697582/7 = 0 for w.
411, 10581
Solve 50*j**3 - 13937640*j**2 + 11150088*j - 2230016 = 0.
2/5, 278752
Factor -x**2/5 + 130274*x/5 - 1693393/5.
-(x - 130261)*(x - 13)/5
Suppose 2*n**4/3 - 25358*n**3/3 - 2166730*n**2/3 - 13408950*n + 86157000 = 0. Calculate n.
-45, 5, 12764
Suppose -b**4 + 40148*b**3 - 80291*b**2 - 40148*b + 80292 = 0. Calculate b.
-1, 1, 2, 40146
Factor 2*i**2 + 58570*i - 1348168.
2*(i - 23)*(i + 29308)
Let 5*u**3/2 - 7563897*u**2/2 + 9076664*u - 3025554 = 0. Calculate u.
2/5, 2, 1512777
Solve 3*p**2 + 9165*p + 3199518 = 0.
-2653, -402
Factor 2*t**3 + 3456*t**2 + 302922*t - 1942380.
2*(t - 6)*(t + 99)*(t + 1635)
Solve -2*j**3/9 - 13930*j**2/9 + 982450*j/9 - 5745250/3 = 0 for j.
-7035, 35
Factor -5*o**2 - 96900*o - 174414880.
-5*(o + 2008)*(o + 17372)
Factor -4*q**2/7 - 1184772*q/7 + 9478432/7.
-4*(q - 8)*(q + 296201)/7
Solve -11*z**3/7 + 186415*z**2/7 + 220384*z/7 - 1016880/7 = 0 for z.
-3, 20/11, 16948
Solve -3*g**4 + 1756362*g**3 + 28102521*g**2 + 22833420*g - 52692300 = 0.
-15, -2, 1, 585470
Let -5*m**4 + 2065*m**3 + 94595*m**2 + 433415*m + 505050 = 0. Calculate m.
-37, -3, -2, 455
What is u in -3*u**2 + 1024803216*u - 87518469293661888 = 0?
170800536
Solve 3*u**2 + 1470480*u - 11764032 = 0 for u.
-490168, 8
Factor 5*f**2/3 - 21513245*f/3 + 43026430.
5*(f - 4302643)*(f - 6)/3
Factor 3*i**2/2 - 212898945*i/2 - 106449474.
3*(i - 70966316)*(i + 1)/2
Factor 4*y**2 - 382192*y - 32132352.
4*(y - 95632)*(y + 84)
Determine z so that z**5 - 353*z**4 + 16493*z**3 + 112217*z**2 - 7878*z - 559440 = 0.
-5, -3, 2, 63, 296
Factor -5*b**3 - 80*b**2 + 335*b + 950.
-5*(b - 5)*(b + 2)*(b + 19)
Factor -3*a**2/4 - 6271155*a/2 - 13109128344675/4.
-3*(a + 2090385)**2/4
Factor -2*m**4/5 + 1980598*m**3/5 - 1980596*m**2/5.
-2*m**2*(m - 990298)*(m - 1)/5
Factor 3*o**3 - 7694040*o**2 - 30776208*o.
3*o*(o - 2564684)*(o + 4)
Suppose p**2/4 - 66695*p/2 - 9475731/4 = 0. Calculate p.
-71, 133461
Let -5*w**4 - 11875*w**3 + 2111585*w**2 + 6488875*w - 8588580 = 0. Calculate w.
-2541, -4, 1, 169
Solve 16*m**5 + 3164*m**4 + 125288*m**3 + 208096*m**2 - 59904*m = 0.
-144, -52, -2, 0, 1/4
Factor -3*v**2 + 1086813*v + 1086816.
-3*(v - 362272)*(v + 1)
What is u in -16*u**4/7 - 624*u**3/7 - 4740*u**2/7 + 5216*u/7 - 192 = 0?
-28, -12, 1/2
Solve -14*j**4/9 + 6626*j**3/9 - 271252*j**2/3 + 6950720*j/9 + 5382400/9 = 0.
-5/7, 10, 232
Solve -3*v**3 + 9435222*v**2 + 9435225*v = 0.
-1, 0, 3145075
Factor v**2/6 - 501170*v/3 - 1002343/2.
(v - 1002343)*(v + 3)/6
Factor -a**2/4 + 7706676*a.
-a*(a - 30826704)/4
Factor 4*v**2 + 97235260*v + 194470504.
4*(v + 2)*(v + 24308813)
Factor -9*o**2 - 25843683*o + 17229126.
-3*(o + 2871521)*(3*o - 2)
Factor -1152*h**3/11 - 190560*h**2/11 - 757750*h - 3368750.
-2*(h + 5)*(24*h + 1925)**2/11
Factor -2*z**2/11 - 281340248*z/11 - 9894041893087688/11.
-2*(z + 70335062)**2/11
Determine p so that 5174*p**2 + 5372*p + 198 = 0.
-1, -99/2587
Solve 5*m**4/3 + 60020*m**3/3 + 657925*m**2 - 17239840*m/3 - 19153600/3 = 0.
-11971, -40, -1, 8
Factor -g**3 + 312411*g**2 + 312414*g - 624824.
-(g - 312412)*(g - 1)*(g + 2)
Factor -s**3/7 - 4436*s**2 - 35438515*s - 15439843650.
-(s + 462)*(s + 15295)**2/7
What is a in 2*a**3 + 8822*a**2 - 1748380*a = 0?
-4601, 0, 190
Factor l**2/6 - 59017*l + 4956252.
(l - 354018)*(l - 84)/6
Determine t so that -9*t**5/7 + 750*t**4 - 262609*t**3/7 - 176824*t**2/7 - 4224*t = 0.
-1/3, 0, 56, 528
Factor -c**2 + 183334186*c - 8402855939070649.
-(c - 91667093)**2
Determine y so that 2*y**3/17 + 1087880*y**2/17 + 6527194*y/17 - 7615076/17 = 0.
-543934, -7, 1
Factor m**3/3 + 364608*m**2 + 18229775*m + 683608750/3.
(m + 25)**2*(m + 1093774)/3
Find m, given that 2*m**5/11 - 576*m**4/11 + 24930*m**3/11 - 15012*m**2 - 3295080*m/11 - 7678800/11 = 0.
-6, -3, 30, 237
Factor -4*t**2/9 - 678859352*t/3 - 28803126237366244.
-4*(t + 254572257)**2/9
Factor 4*p**3 - 9796*p**2 + 1833536*p - 3627920.
4*(p - 2245)*(p - 202)*(p - 2)
Determine p, given that p**4/2 + 329299*p**3/3 - 5488573*p**2/6 - 5268994*p/3 - 2195410/3 = 0.
-219541, -1, -2/3, 10
Find d, given that -3*d**3 - 4146*d**2 - 124020*d + 7533000 = 0.
-1350, -62, 30
Determine u so that -2*u**3/5 - 33506*u**2/5 - 4727606*u/5 - 167472102/5 = 0.
-16611, -71
Find y, given that -15*y**2 - 21107830*y - 14071880 = 0.
-1407188, -2/3
Let -5*b**2 - 15660*b - 10940800 = 0. Calculate b.
-2080, -1052
Factor 3*u**3/4 - 87945*u**2/4 + 43971*u/2.
3*u*(u - 29314)*(u - 1)/4
Suppose k**2/5 + 1301*k/5 - 2990106/5 = 0. Calculate k.
-2498, 1197
Solve b**4/6 - 141*b**3/2 + 1102*b**2 + 58618*b/3 + 34104 = 0.
-9, -2, 28, 406
Determine h so that 3*h**5 - 8031*h**4 - 389862*h**3 - 6896610*h**2 - 52919325*h - 148989375 = 0.
-15, -9, 2725
Factor y**3/2 + 6385*y**2/2 + 1966931*y - 1970124.
(y - 1)*(y + 692)*(y + 5694)/2
Factor -2*p**2/7 + 232382796*p/7 - 6750220484597202/7.
-2*(p - 58095699)**2/7
Determine x, given that x**5/2 - 302*x**4/5 + 10097*x**3/10 + 68943*x**2/5 + 115236*x/5 = 0.
-36/5, -2, 0, 33, 97
What is i in -2*i**3/3 - 49656*i**2 + 4473090*i - 100674900 = 0?
-74574, 45
Factor -3*p**2 + 125289*p + 626520.
-3*(p - 41768)*(p + 5)
Factor -9*c**3 - 970*c**2 - 22875*c + 139750.
-(c - 5)*(c + 65)*(9*c + 430)
Let 2*f**4/5 - 416*f**3 - 2262*f**2/5 + 37476*f = 0. Calculate f.
-10, 0, 9, 1041
Solve 9*z**4/7 + 17457*z**3/7 + 133335*z**2/7 + 7437*z - 28980 = 0.
-1932, -7, -5/3, 1
Factor -60164*u**2 + 120408*u - 160.
-4*(u - 2)*(15041*u - 20)
Suppose -5*i**5 + 5395*i**4 + 266775*i**3 + 4154525*i**2 + 23649230*i + 32728080 = 0. What is i?
-24, -11, -2, 1127
Solve -36*d**4/7 + 26797908*d**3/7 + 10208756*d**2 + 38708220*d/7 + 5955112/7 = 0.
-2, -1/3, 744389
Suppose -z**2/7 + 143316342*z/7 - 5134893471065241/7 = 0. What is z?
71658171
Let 2*r**4/5 + 1476*r**3 + 2156986*r**2/5 - 19908288*r/5 + 6225912 = 0. What is r?
-3369, -330, 2, 7
Factor -2*o**2/3 - 4864*o/3 + 278656/3.
-2*(o - 56)*(o + 2488)/3
Suppose h**5 - 26960*h**4 - 323679*h**3 + 404554*h**2 + 701272*h = 0. What is h?
-13, -1, 0, 2, 26972
Factor 2*s**4 + 199932*s**3 + 5549120546*s**2 + 27616605560544*s + 38159789379840128.
2*(s + 2936)**2*(s + 47047)**2
Factor 8*l**2 + 246733692*l + 123366844.
4*(l + 30841711)*(2*l + 1)
Factor -16*q**2/7 + 6402*q/7 - 800/7.
-2*(q - 400)*(8*q - 1)/7
Determine q, given that -5*q**2 - 49581710*q - 49581705 = 0.
-9916341, -1
Factor -5*h**2/3 - 22395*h - 804060.
-5*(h + 36)*(h + 13401)/3
Factor 5*l**2 - 2667685*l - 8003100.
5*(l - 533540)*(l + 3)
Let -15*f**5 + 350*f**4 + 69240*f**3 - 3014880*f**2 + 25013120*f = 0. What is f?
-76, 0, 34/3, 44
Factor r**3/5 - 769*r**2 + 4096928*r/5 - 748569856/5.
(r - 1808)**2*(r - 229)/5
Suppose 21*q**5 - 11385*q**4/2 - 10689*q**3/2 + 11016*q**2 = 0. What is q?
-27/14, 0, 1, 272
Determine q so that -5*q**2 + 251320*q + 39327600 = 0.
-156, 50420
Solve z**3 - 1101187*z**2 - 6607165*z + 7708351 = 0 for z.
-7, 1, 1101193
Determine h, given that 4*h**4 - 3197736*h**3 + 639097918080*h**2 - 1278183045248*h = 0.
0, 2, 399716
Let t**4/3 - 310*t**3/3 + 17507*t**2/3 - 258710*t/3 + 352352 = 0. What is t?
7, 13, 48, 242
Suppose 5*z**3 - 31562980*z**2 + 49811085324020*z = 0. What is z?
0, 3156298
Find x such that -x**5/7 + 72*x**4/7 + 883*x**3/7 - 40538*x**2/7 - 258816*x/7 - 349600/7 = 0.
-23, -4, -2, 25, 76
Determine g, given that -262*g**4/5 - 41558*g**3 - 42327578*g**2/5 - 444478634*g/5 - 40360584/5 = 0.
-391, -11, -12/131
Suppose 3*q**4 - 35988*q**3 - 3837264*q**2 - 135073584*q - 1572775920 = 0. What is q?
-38, -30, 12102
Suppose -2*w**5/9 + 3686*w**4/9 - 702428*w**3/9 - 709804*w**2/9 + 702430*w/9 + 706118/9 = 0. Calculate w.
-1, 1, 217, 