
Solve 4*j**3/5 + 2556*j**2/5 - 24088*j/5 - 98496 = 0 for j.
-648, -10, 19
What is o in -2*o**3/13 + 12*o**2/13 + 512*o/13 - 3072/13 = 0?
-16, 6, 16
Factor 5*n**3 + 750*n**2 - 22580*n - 295800.
5*(n - 34)*(n + 10)*(n + 174)
Find m such that m**3/11 - 249*m**2/11 + 2415*m/11 - 5975/11 = 0.
5, 239
Determine b so that -2*b**5 - 32*b**4/7 + 6446*b**3/7 + 8312*b**2/7 + 264*b = 0.
-22, -1, -2/7, 0, 21
Suppose 2*j**3/7 + 198*j**2/7 + 3040*j/7 = 0. What is j?
-80, -19, 0
Find r such that r**2 - 11461*r + 45828 = 0.
4, 11457
Factor -2*u**4/7 + 511422*u**3/7 - 32693802048*u**2/7 - 32694313472*u/7.
-2*u*(u - 127856)**2*(u + 1)/7
What is s in -12*s**3 + 290546*s**2 - 1758711256*s + 293110472 = 0?
1/6, 12106
Suppose -2*f**3 + 790*f**2 + 34882*f - 35670 = 0. Calculate f.
-41, 1, 435
Let -a**3 + 3781*a**2 + 11350*a + 7568 = 0. What is a?
-2, -1, 3784
Factor -m**2 - 49354*m - 608954329.
-(m + 24677)**2
Let 6*m**3/11 - 6*m**2 - 1926*m/11 + 6210/11 = 0. What is m?
-15, 3, 23
Factor -5*y**2 - 459410*y - 10552877405.
-5*(y + 45941)**2
Factor -w**3/8 - 33*w**2/2 + 12091*w/8 + 6111/4.
-(w - 63)*(w + 1)*(w + 194)/8
Factor -b**5 - 85*b**4 - 79*b**3 + 417*b**2 - 252*b.
-b*(b - 1)**2*(b + 3)*(b + 84)
Suppose 4*f**2 + 181204*f - 181208 = 0. Calculate f.
-45302, 1
Determine y so that -3*y**5/2 - 3447*y**4 + 110811*y**3/2 - 301707*y**2 + 624618*y - 374868 = 0.
-2314, 1, 3, 6
Solve -5*u**2 - 40820*u - 285495 = 0 for u.
-8157, -7
Factor -214*c**2 + 77253*c + 361.
-(c - 361)*(214*c + 1)
Factor 4*i**2 - 372*i + 2088.
4*(i - 87)*(i - 6)
Suppose -k**3/4 + 83*k**2 + 1024*k + 2752 = 0. Calculate k.
-8, -4, 344
What is r in 2*r**3/5 + 124*r**2 + 39746*r/5 - 1338672/5 = 0?
-167, 24
Factor 2*f**3 + 128*f**2 + 970*f - 1100.
2*(f - 1)*(f + 10)*(f + 55)
Suppose v**3/7 + 333*v**2/7 - v/7 - 333/7 = 0. Calculate v.
-333, -1, 1
Suppose -i**2 + 366*i + 17587 = 0. Calculate i.
-43, 409
Find k such that -52*k**3/7 + 1772*k**2/7 - 9964*k/7 + 108 = 0.
1/13, 7, 27
Factor 4*c**3 + 13536*c**2 + 11478480*c + 45697600.
4*(c + 4)*(c + 1690)**2
Factor -284*v**4 + 25288*v**3 - 1068*v**2.
-4*v**2*(v - 89)*(71*v - 3)
Let -21*o**4 + 614025*o**3 - 175434*o**2 = 0. What is o?
0, 2/7, 29239
Solve 2*h**5/15 + 1742*h**4/5 - 5246*h**3/15 - 47074*h**2/15 - 19172*h/5 - 20912/15 = 0.
-2614, -1, 4
Find a such that -2*a**4/7 - 20*a**3/7 + 40*a**2/7 + 180*a/7 - 198/7 = 0.
-11, -3, 1, 3
Let 3*t**5 + 51*t**4 + 270*t**3 + 324*t**2 - 648*t = 0. What is t?
-6, 0, 1
Factor 35*d**2 + 39400*d - 11260.
5*(d + 1126)*(7*d - 2)
Suppose g**4/8 - 497*g**3/8 + 44425*g**2/8 - 1041975*g/8 - 1769625/4 = 0. What is g?
-3, 55, 390
Factor 31752*t**2 - 21000*t + 31250/9.
2*(378*t - 125)**2/9
Suppose -3*v**2/5 + 135273*v/5 + 405846/5 = 0. What is v?
-3, 45094
Find o, given that 3*o**3/7 + 276*o**2 + 15285*o/7 + 1908 = 0.
-636, -7, -1
Find c such that c**4/6 - 135*c**3/2 + 20293*c**2/2 - 4032847*c/6 + 16578562 = 0.
91, 132
Suppose -3*s**5/7 - 240*s**4 + 25800*s**3/7 - 43170*s**2/7 - 25797*s/7 + 44850/7 = 0. Calculate s.
-575, -1, 1, 2, 13
What is c in -3*c**3 - 216*c**2 + 279*c + 4380 = 0?
-73, -4, 5
Determine u, given that -289*u**3/9 - 1717*u**2/3 - 3192*u - 5292 = 0.
-126/17, -3
Factor 2*w**4/3 + 124948*w**3/3 + 249890*w**2/3 + 41648*w.
2*w*(w + 1)**2*(w + 62472)/3
Solve 5*x**5 - 490*x**4 - 4120*x**3 - 12560*x**2 - 16880*x - 8480 = 0.
-2, 106
Find j such that -2*j**3/9 + 14072*j**2/9 - 24766714*j/9 + 49477156/9 = 0.
2, 3517
Factor a**3/3 - 1517*a**2/3 - 3038*a/3.
a*(a - 1519)*(a + 2)/3
Factor b**3/4 - 8*b**2 - 80*b.
b*(b - 40)*(b + 8)/4
What is v in -3*v**5 + 27*v**4 + 54*v**3 - 582*v**2 - 819*v + 1323 = 0?
-3, 1, 7
Factor 4*k**3/3 + 452*k**2/3 - 620*k + 468.
4*(k - 3)*(k - 1)*(k + 117)/3
Factor -3*h**2 + 267669*h.
-3*h*(h - 89223)
Find q, given that 2*q**4/11 - 100*q**3/11 - 1374*q**2/11 + 1312*q/11 + 39040/11 = 0.
-8, 5, 61
Find l such that -3*l**2/2 - 23124*l - 89119896 = 0.
-7708
Factor 5*d**3/2 + 1985*d**2 - 36245*d/2 - 44165.
5*(d - 11)*(d + 2)*(d + 803)/2
Factor u**5/6 - u**4/6 - 24*u**3 + 404*u**2/3 - 776*u/3 + 168.
(u - 9)*(u - 2)**3*(u + 14)/6
Determine r so that r**2/10 - 8129*r/10 = 0.
0, 8129
Factor 2*f**3 + 8716*f**2.
2*f**2*(f + 4358)
Determine p so that p**5/2 - 5*p**4 + 15*p**3/2 + 5*p**2 - 8*p = 0.
-1, 0, 1, 2, 8
Let 12*n**5 - 1433*n**4 + 43776*n**3 - 58934*n**2 - 7788*n + 24367 = 0. What is n?
-7/12, 1, 59
Determine f so that -f**5 + 50*f**4 - 271*f**3 + 302*f**2 + 272*f - 352 = 0.
-1, 1, 2, 4, 44
Factor -2*g**4 + 1772*g**3 - 193106*g**2 - 88330656*g - 4969646208.
-2*(g - 536)**2*(g + 93)**2
Suppose 125*f**4 + 25950*f**3 + 88605*f**2 - 130601160*f + 3166134480 = 0. What is f?
-699/5, 36
Solve -5*p**5 - 2590*p**4 - 132205*p**3 - 378560*p**2 - 248940*p = 0.
-461, -54, -2, -1, 0
Determine j so that 3*j**4 - 2634*j**3 - 18600*j**2 + 13050*j + 199125 = 0.
-5, 3, 885
Factor -2*m**3 + 1486*m**2 - 16140*m + 26352.
-2*(m - 732)*(m - 9)*(m - 2)
Determine z so that 5*z**5/2 - 95*z**4/2 + 165*z**3 - 235*z**2 + 305*z/2 - 75/2 = 0.
1, 15
Factor 4*u**2/7 - 1080*u - 300924/7.
4*(u - 1929)*(u + 39)/7
Factor -4*i**3 - 9636*i**2 + 4*i + 9636.
-4*(i - 1)*(i + 1)*(i + 2409)
Find q such that q**4/6 - 233*q**3/3 + 8566*q**2 + 340097*q/3 + 628331/6 = 0.
-11, -1, 239
Solve -n**5/5 - 51*n**4 - 9768*n**3/5 - 102124*n**2/5 = 0.
-211, -22, 0
Factor -z**2 - 559*z - 18340.
-(z + 35)*(z + 524)
Let -2*p**2/17 + 7170*p/17 - 28648/17 = 0. Calculate p.
4, 3581
Solve -74729639370375*h**4 - 15352776450*h**3 - 1051380*h**2 - 24*h = 0 for h.
-2/29205, 0
Determine y, given that -3*y**2 - 13032*y + 156816 = 0.
-4356, 12
Solve -15*l**4/2 - 339*l**3/4 + 1197*l**2/4 - 1257*l/4 + 429/4 = 0.
-143/10, 1
Suppose -v**3 - 11593*v**2 + 197354*v - 185760 = 0. Calculate v.
-11610, 1, 16
Factor -6*d**3 - 3088*d**2 + 1030*d.
-2*d*(d + 515)*(3*d - 1)
Solve -2*s**2/3 - 172624*s/3 - 3724880672/3 = 0.
-43156
Factor -2*y**2/5 - 402*y/5 + 2160.
-2*(y - 24)*(y + 225)/5
Factor -2*p**3 + 852*p**2 - 115218*p + 4788640.
-2*(p - 173)**2*(p - 80)
Factor -15*i**2 + 4586*i - 3355.
-(i - 305)*(15*i - 11)
Factor u**4/4 - 4*u**3 + 93*u**2/4 - 117*u/2 + 54.
(u - 6)*(u - 4)*(u - 3)**2/4
Suppose 3*c**4 + 24*c**3 - 2487*c**2 + 11784*c - 13860 = 0. Calculate c.
-35, 2, 3, 22
Factor -4*b**2 - 1841816*b - 212017886116.
-4*(b + 230227)**2
Solve 4*j**4 + 1172*j**3 - 92572*j**2 + 181612*j - 90216 = 0 for j.
-358, 1, 63
Find f such that 2*f**4/5 - 1068*f**3/5 + 141488*f**2/5 + 295872*f/5 - 1149184/5 = 0.
-4, 2, 268
Find m such that -m**4 - 1431*m**3 + 4299*m**2 - 4301*m + 1434 = 0.
-1434, 1
Determine o, given that 28*o**4 - 2808*o**3 - 5828*o**2 + 4528800*o + 3236800 = 0.
-35, -5/7, 68
Determine n so that 3*n**2 - 350172*n + 10218369132 = 0.
58362
Let 375*k**5 + 126006*k**4 - 506484*k**3 + 501864*k**2 + 8160*k = 0. What is k?
-340, -2/125, 0, 2
Factor -k**2/7 + 279*k/7 + 16830/7.
-(k - 330)*(k + 51)/7
Factor 4*z**2 - 18960*z - 209044.
4*(z - 4751)*(z + 11)
Solve v**2/2 + 19692*v - 118161/2 = 0.
-39387, 3
Factor -2*y**4 + 10006*y**3 - 20004*y**2.
-2*y**2*(y - 5001)*(y - 2)
Factor -2*q**3/5 - 152946*q**2/5 - 584796678*q + 2924136338/5.
-2*(q - 1)*(q + 38237)**2/5
Factor -2*o**2/11 + 160*o/11 - 3150/11.
-2*(o - 45)*(o - 35)/11
What is f in -f**3/7 - 3049*f**2/7 + 12224*f/7 + 36636/7 = 0?
-3053, -2, 6
Factor -3*d**4/4 - 518307*d**3/4 - 5596776168*d**2 - 5596646592*d.
-3*d*(d + 1)*(d + 86384)**2/4
Solve -2*a**3 - 21240*a**2 - 56370954*a + 112826884 = 0 for a.
-5311, 2
Solve 2*l**4/19 + 1346*l**3/19 - 1350*l**2/19 - 1346*l/19 + 1348/19 = 0 for l.
-674, -1, 1
Find g such that -4*g**4 - 4432*g**3 - 30852*g**2 - 26424*g = 0.
-1101, -6, -1, 0
Determine a so that -2*a**3/5 - 2216*a**2/5 + 47462*a/5 + 49676/5 = 0.
-1129, -1, 22
Let s**4 - 618*s**3 - 10715*s**2 - 50736*s - 40640 = 0. What is s?
-8, -1, 635
Factor 12*k**2/7 - 88005*k/7 + 65997/7.
3*(k - 7333)*(4*k - 3)/7
Find x, given that 2*x**4/21 - 4742*x**3/21 - 19032*x**2/7 - 228640*x/21 - 305024/21 = 0.
-4, 2383
Factor -2*f**2/17 - 546*f/17 - 10120/17.
-2*(f + 20)*(f + 253)/17
Factor w**5/5 + 111*w**4/5.
w**4*(w + 111)/5
Factor d**3/12 + 621*d**2 + 2483*d + 7448/3.
(d + 2)**2*(d + 7448)/12
Factor -u**3 + 270*u**2 + u - 270.
-(u - 270)*(u - 1)*(u + 1)
Factor -3*x**3 - 3273*x**2 + 32955*x - 82575.
-3*(x - 5)**2*(x + 1101)
Factor 2*a**3/5 - 472*a**2/5 + 938*