 -2, -1, 386
Solve -128*w**4/7 - 741728*w**3/7 + 17316654*w**2/7 + 13300380*w/7 + 2513376/7 = 0.
-5818, -3/8, 24
Let -u**2 + 1931850*u - 1931849 = 0. What is u?
1, 1931849
Factor -10153*w**2/3 - 13527*w + 124/3.
-(w + 4)*(10153*w - 31)/3
Solve 3*a**5 + 551469*a**4 - 5515422*a**3 - 79417314*a**2 - 268030053*a - 282918987 = 0.
-183833, -3, 19
Find r, given that -2*r**2 + 35360*r - 22826078 = 0.
671, 17009
Let -4*v**4/7 - 3660*v**3/7 - 39852*v**2 - 7374564*v/7 - 65662488/7 = 0. What is v?
-834, -27
Let -2*b**4 + 1036*b**3 - 89902*b**2 - 1573036*b - 1482096 = 0. What is b?
-14, -1, 132, 401
Find t such that -3*t**4 - 66702*t**3 - 330204807*t**2 + 450886176420*t - 137081037852300 = 0.
-11695, 578
Factor 2*a**4/3 - 534*a**3 + 66616*a**2/3.
2*a**2*(a - 757)*(a - 44)/3
Solve v**3 - 8998583*v**2 + 20243628501263*v - 20243619502681 = 0.
1, 4499291
Factor 202*g**2 - 111614*g - 50876.
2*(g - 553)*(101*g + 46)
Solve -d**2 + 63445254*d - 1006325063781129 = 0.
31722627
Let 2*m**4 + 227808*m**3 + 2961190*m**2 + 2733384*m = 0. Calculate m.
-113891, -12, -1, 0
What is z in z**4/2 + 3815*z**3/8 - 21687*z**2/4 + 49205*z/8 - 4825/4 = 0?
-965, 1/4, 1, 10
Factor z**5 + 289*z**4 + 3076*z**3 + 5004*z**2.
z**2*(z + 2)*(z + 9)*(z + 278)
Factor -2*g**3/13 - 62160*g**2/13 + 19128*g - 248672/13.
-2*(g - 2)**2*(g + 31084)/13
Determine g, given that 4*g**5/9 + 2716*g**4/9 - 588808*g**3/3 + 1736432*g**2/9 + 17614880*g/9 + 4703104/3 = 0.
-1086, -2, -1, 4, 406
Factor 2*v**3/3 - 44110*v**2/3 + 281209054*v/3 - 401075150546/3.
2*(v - 10031)**2*(v - 1993)/3
Solve f**4/5 - 2*f**3/5 - 51159*f**2/5 - 612828*f/5 - 1836972/5 = 0.
-219, -6, 233
Factor 2727791148*d**3 - 5438032668*d**2 - 35071029*d - 56454.
3*(d - 2)*(30154*d + 97)**2
Suppose -3*i**3 - 1359237*i**2 + 495060384*i - 45059537796 = 0. What is i?
-453443, 182
Suppose -42*n**3/5 + 163449*n**2/5 + 13481856*n + 6619926528/5 = 0. Calculate n.
-192, 59859/14
Find v, given that -5*v**2 + 2690955*v + 5381930 = 0.
-2, 538193
Let -x**4/2 + 28473*x**3/2 - 3459527*x**2/2 + 19988499*x/2 - 14799222 = 0. Calculate x.
3, 116, 28351
Factor -2*h**2 + 7762962*h - 131969776.
-2*(h - 3881464)*(h - 17)
Suppose -2*y**5/5 + 25256*y**4/5 - 4077354*y**3/5 + 34321460*y**2 - 97331840*y + 63820800 = 0. Calculate y.
1, 2, 80, 12465
Solve 5*y**3 - 17465*y**2 - 2981290*y + 6032400 = 0 for y.
-165, 2, 3656
Factor 3*q**2/2 + 5307*q/2 + 283005.
3*(q + 114)*(q + 1655)/2
Factor -4*i**2 - 11145556*i - 66873192.
-4*(i + 6)*(i + 2786383)
Factor 2*x**2/5 + 19636*x/5 + 4672112/5.
2*(x + 244)*(x + 9574)/5
Suppose -c**5/2 + 56141*c**4/2 - 787026057*c**3/2 - 26020105493*c**2/2 - 90728565403*c + 104132103108 = 0. What is c?
-22, -12, 1, 28087
Factor z**2/3 - 1219808*z/3 + 3659397.
(z - 1219799)*(z - 9)/3
Determine i, given that -i**2 + 3532*i + 476060 = 0.
-130, 3662
Factor 3*k**2 + 121827*k + 609060.
3*(k + 5)*(k + 40604)
Factor 2*s**2/13 + 1939237904*s/13 + 470080456038789152/13.
2*(s + 484809476)**2/13
Suppose 20*f**5/11 + 19642*f**4/11 - 76896*f**3/11 + 11954*f**2/11 + 120304*f/11 + 11832/11 = 0. What is f?
-986, -1, -1/10, 2, 3
Factor 52*s**3 - 2083585*s**2 + 1963329*s + 120204.
(s - 40068)*(s - 1)*(52*s + 3)
Suppose 50*a**4/3 + 9394*a**3/3 + 113222*a**2/3 + 30426*a - 4200 = 0. Calculate a.
-175, -12, -1, 3/25
Suppose 6*r**2/13 - 68306170*r/13 + 45537444/13 = 0. What is r?
2/3, 11384361
Determine x so that 2*x**5/5 - 264*x**4/5 + 1808*x**3 - 20096*x**2 + 301728*x/5 - 269696/5 = 0.
2, 14, 28, 86
Let -4*j**2/5 + 20686072*j/5 = 0. What is j?
0, 5171518
Determine c so that 3*c**4 + 86577*c**3 + 829408671*c**2 + 2604365684115*c - 319006667475366 = 0.
-9659, 118
Suppose -8*n**5/7 - 5454818*n**4/7 + 4091120*n**3/7 + 1363706*n**2/7 = 0. What is n?
-681853, -1/4, 0, 1
Determine v, given that 2*v**5 + 4168*v**4 + 2103424*v**3 - 71385376*v**2 + 134323680*v = 0.
-1058, 0, 2, 30
Factor -2*a**2/5 + 17190188*a/5 - 103141056/5.
-2*(a - 8595088)*(a - 6)/5
Factor d**3/4 - 236467*d**2/2 + 13979042288*d + 27958557512.
(d - 236468)**2*(d + 2)/4
Let -2*c**2/13 + 125624170*c/13 + 125624172/13 = 0. Calculate c.
-1, 62812086
Solve -q**2/3 + 4493*q/3 + 45230 = 0 for q.
-30, 4523
Factor h**2/5 + 2516*h/5 + 316939/5.
(h + 133)*(h + 2383)/5
Factor n**2 - 15296*n + 2899968.
(n - 15104)*(n - 192)
What is i in -i**4/3 - 7130*i**3 + 85571*i**2/3 - 35656*i + 42788/3 = 0?
-21394, 1, 2
Find j, given that 4*j**4 - 7251928*j**3 + 3286925488036*j**2 - 19721357126592*j + 29581937789184 = 0.
3, 906488
Determine o so that -o**4 + 3363*o**3 + 91300*o**2 + 779100*o + 2034000 = 0.
-12, -10, -5, 3390
Let -a**3/2 + 5807403*a**2/2 - 20325889*a + 17422188 = 0. What is a?
1, 6, 5807396
Let -4*q**4 - 6541020*q**3 - 3565431509544*q**2 - 647838904930931664*q - 5830261349194489248 = 0. What is q?
-545082, -9
Factor -2*q**2/7 - 5118*q/7 - 3090016/7.
-2*(q + 976)*(q + 1583)/7
Find d, given that -d**2/5 - 2954*d + 251379/5 = 0.
-14787, 17
Determine r so that r**2/6 + 224462*r - 1346773/6 = 0.
-1346773, 1
Factor 8*m**2 + 5168836*m + 2584416.
4*(m + 646104)*(2*m + 1)
Suppose 3*d**3 + 110714*d**2 + 184517*d + 73806 = 0. Calculate d.
-36903, -1, -2/3
Suppose 2*h**5/5 - 312*h**4/5 - 25222*h**3/5 - 507372*h**2/5 - 2633344*h/5 - 686784 = 0. Calculate h.
-28, -5, -2, 219
Factor 2*j**3/7 + 42130*j**2/7 + 1656602*j + 803251254/7.
2*(j + 139)**2*(j + 20787)/7
Solve 3*f**4 - 87*f**3 - 6648*f**2 + 101988*f + 229824 = 0 for f.
-42, -2, 16, 57
Suppose -4*t**2/7 + 631020*t/7 - 11357064/7 = 0. What is t?
18, 157737
Find q, given that -q**2 - 34280*q + 157060689 = 0.
-38373, 4093
Factor -2*f**2 - 17309632*f + 17309634.
-2*(f - 1)*(f + 8654817)
Find i such that -i**4/3 - 100745*i**3/3 - 2014379*i**2/3 + 12187625*i/3 - 3357500 = 0.
-100725, -25, 1, 4
Factor -i**2/10 - 6421363*i/10 + 3210682/5.
-(i - 1)*(i + 6421364)/10
Let 2*m**2/5 + 228584*m - 14858298/5 = 0. What is m?
-571473, 13
What is p in -3*p**2/8 + 745335*p/8 - 186333/2 = 0?
1, 248444
Factor 3*h**3 - 2691*h**2 + 561330*h.
3*h*(h - 567)*(h - 330)
Solve 16*f**4/3 - 1569164*f**3/3 + 56078128*f**2/3 - 31502692*f + 13333032 = 0 for f.
3/4, 1, 34, 98037
Suppose -11*p**5 + 650*p**4 - 13028*p**3 + 92930*p**2 - 87761*p + 7220 = 0. What is p?
1/11, 1, 19, 20
Let 2*f**3 + 43918*f**2 + 232468510*f - 95590090606 = 0. What is f?
-11171, 383
Find r such that -2*r**2 + 453420*r + 906848 = 0.
-2, 226712
Factor m**2/3 + 1360661*m - 4081984/3.
(m - 1)*(m + 4081984)/3
Let 2*m**5/7 + 1268*m**4/7 + 40968*m**3/7 + 100252*m**2/7 - 328490*m/7 + 186000/7 = 0. What is m?
-600, -31, -5, 1
Find o, given that 3*o**2/4 + 13269*o/4 + 75900 = 0.
-4400, -23
Determine k, given that -4*k**3 - 1176812*k**2 + 61202336*k - 795665520 = 0.
-294255, 26
Factor 3*b**3/8 + 3773307*b**2/8 + 7546542*b + 30186072.
3*(b + 8)**2*(b + 1257753)/8
Factor 5*w**3 + 937990*w**2 + 176209580*w + 8279773800.
5*(w + 94)**2*(w + 187410)
Find u such that u**3/2 - 28597*u**2/2 - 14299*u = 0.
-1, 0, 28598
Factor q**2/7 - 268029618*q/7 + 17959969031306481/7.
(q - 134014809)**2/7
Factor -549*l**2 + 1909419*l + 10434.
-3*(l - 3478)*(183*l + 1)
Find k, given that -4*k**3 - 327660*k**2 + 2621472*k - 5243072 = 0.
-81923, 4
What is c in -2*c**2/7 - 175470*c/7 - 16126312/7 = 0?
-87643, -92
What is k in -3*k**3/5 + 3463992*k**2/5 + 18706011*k - 96994044/5 = 0?
-28, 1, 1154691
Suppose w**3/2 + 465903*w**2/2 - 931812*w + 931814 = 0. Calculate w.
-465907, 2
Factor 2*o**3 - 75900*o**2 + 705854400*o + 271658144000.
2*(o - 19160)**2*(o + 370)
Factor -2*f**2/11 + 884966*f/11 + 884968/11.
-2*(f - 442484)*(f + 1)/11
Factor -20*i**2 - 144583275*i + 36145820.
-5*(i + 7229164)*(4*i - 1)
Let -2*z**3/17 + 774968*z**2/17 + 3874882*z/17 + 3099912/17 = 0. What is z?
-4, -1, 387489
Suppose s**2/4 + 13162819*s/2 + 173259804026761/4 = 0. What is s?
-13162819
Suppose -o**5/4 + 27*o**4/2 + 163885*o**3 - 4593902*o**2 - 26913714240*o + 53844492800 = 0. What is o?
-560, 2, 586
Let -7*b**4/4 - 15256*b**3 - 6014457*b**2/4 + 1954081*b - 435209 = 0. Calculate b.
-8618, -101, 2/7, 1
What is v in 3*v**3 - 3470262*v**2 + 1003566802875*v - 4014211687500 = 0?
4, 578375
Determine a, given that -18*a**5/11 + 170*a**4 - 42074*a**3/11 - 363078*a**2/11 + 75580*a + 8800 = 0.
-8, -1/9, 2, 55
Factor -4*p**2/5 - 1868064*p/5 - 373612.
-4*(p + 1)*(p + 467015)/5
Find b, given that -17*b**5 + 41