-4/23, 1/120
Find x such that -1924*x**5/5 - 23082*x**4/5 - 21092*x**3/5 + 66*x**2/5 = 0.
-11, -1, 0, 3/962
Suppose 2*f**3 - 996*f**2 - 374664*f - 27508592 = 0. Calculate f.
-134, 766
Find j, given that j**4 - 1758*j**3 + 1751*j**2 + 10542*j = 0.
-2, 0, 3, 1757
Factor -3*n**3/4 - 57891*n**2/4 - 1503645*n/4 - 9770397/4.
-3*(n + 13)**2*(n + 19271)/4
Determine v, given that v**5/10 + 3*v**4/10 - 13*v**3/2 - 219*v**2/10 + 28*v = 0.
-7, -5, 0, 1, 8
Let 16*c**2 - 53332*c + 13332 = 0. What is c?
1/4, 3333
Determine l, given that 49*l**5/4 - 3003*l**4/4 - 25409*l**3/4 - 46653*l**2/4 + 3730*l - 276 = 0.
-4, 1/7, 69
Determine a, given that 6*a**5 - 93*a**4 + 27*a**3 + 267*a**2 + 51*a - 90 = 0.
-1, 1/2, 2, 15
Suppose -3*y**2/2 - 6589*y/2 + 2197 = 0. What is y?
-2197, 2/3
Factor -2*p**3 - 3256*p**2 + 19622*p + 22876.
-2*(p - 7)*(p + 1)*(p + 1634)
Solve 4*c**4 + 600*c**3 + 27972*c**2 + 404624*c - 433200 = 0.
-75, -38, 1
What is a in -6*a**5 + 110*a**4 - 176*a**3 - 792*a**2 + 352*a + 512 = 0?
-2, -2/3, 1, 4, 16
Determine n so that -3*n**4/2 + 35777*n**3/2 + 5963*n**2 = 0.
-1/3, 0, 11926
Factor n**3/6 - 221*n**2/6 + 2990*n/3 + 2142.
(n - 189)*(n - 34)*(n + 2)/6
Determine u, given that u**3/3 + 48*u**2 - 14857*u - 6856774/3 = 0.
-179, 214
What is h in -2*h**5 - 50*h**4 + 4*h**3 + 100*h**2 - 2*h - 50 = 0?
-25, -1, 1
Let 4*x**3 + 2860*x**2 - 36*x - 25740 = 0. Calculate x.
-715, -3, 3
Factor 2*t**2 + 6344*t + 107270.
2*(t + 17)*(t + 3155)
Factor 2*f**3/3 - 380*f**2 - 60566*f/3 - 19808.
2*(f - 619)*(f + 1)*(f + 48)/3
Factor 4*d**2 + 1512*d + 111908.
4*(d + 101)*(d + 277)
Factor -2*r**2/5 - 3688404*r/5 - 1700540508402/5.
-2*(r + 922101)**2/5
Suppose -2*k**2 - 2482*k - 315936 = 0. Calculate k.
-1097, -144
Find x, given that x**5/10 + 3096*x**4/5 + 1857*x**3 + 9284*x**2/5 + 6189*x/10 = 0.
-6189, -1, 0
Let 27*p**4 + 66*p**3 - 3*p**2 - 66*p - 24 = 0. What is p?
-2, -1, -4/9, 1
Suppose 6*u**5/13 - 1538*u**4/13 + 9488*u**3/13 + 3152*u**2/13 - 38048*u/13 + 12000/13 = 0. What is u?
-2, 1/3, 2, 6, 250
Find y, given that 4*y**5 + 132944*y**4 - 398868*y**3 + 16*y**2 + 531824*y = 0.
-33239, -1, 0, 2
Solve -2*g**2/3 - 12212*g/3 - 48752 = 0 for g.
-6094, -12
Factor -2*b**3/9 + 58*b**2/9 + 4232*b/9 - 8680/9.
-2*(b - 62)*(b - 2)*(b + 35)/9
Factor w**2/6 - 1007548*w/3 + 507576486152/3.
(w - 1007548)**2/6
Factor 2*v**4/23 - 3134*v**3/23 + 15620*v**2/23.
2*v**2*(v - 1562)*(v - 5)/23
Find h, given that -1434*h**5/7 - 12772*h**4 - 1317534*h**3/7 + 2369652*h**2/7 - 948992*h/7 - 12288/7 = 0.
-32, -3/239, 2/3, 1
Factor 3*t**2 + 311892*t + 8106384972.
3*(t + 51982)**2
Determine r so that -2*r**5/9 + 788*r**4/9 - 85802*r**3/9 + 537416*r**2/3 - 930248*r = 0.
0, 11, 186
Solve -3*v**3/4 - 24909*v**2 + 199281*v/4 - 49821/2 = 0.
-33214, 1
Find g such that -8*g**5 + 220*g**4 - 1200*g**3 = 0.
0, 15/2, 20
Factor -u**2 + 554*u + 555.
-(u - 555)*(u + 1)
Find l, given that -l**2/2 + 311*l - 620 = 0.
2, 620
Determine s, given that -2*s**5/11 + 2868*s**4/11 + 8628*s**3/11 - 8608*s**2/11 - 1830*s + 17244/11 = 0.
-3, -2, 1, 1437
Suppose -q**5/5 - 19*q**4/5 - 28*q**3/5 + 512*q**2/5 - 1024*q/5 + 112 = 0. What is q?
-14, -10, 1, 2
Find k, given that 243*k**4/8 - 8775*k**3/4 + 333939*k**2/8 - 77025*k + 37446 = 0.
1, 316/9
Find q such that 3*q**4/2 - 15*q**3/2 - 4587*q**2/2 - 13545*q/2 = 0.
-35, -3, 0, 43
Factor k**2/3 + 72*k - 219.
(k - 3)*(k + 219)/3
Factor 4*h**2/7 + 16504*h/7 + 1167552/7.
4*(h + 72)*(h + 4054)/7
Factor -y**2 + 4*y + 957.
-(y - 33)*(y + 29)
Determine h, given that 45796*h**4/7 + 700208*h**3 + 52344837*h**2/7 + 1464723*h/7 + 10260/7 = 0.
-95, -12, -3/214
Factor i**3 - 181*i**2 - 1500*i - 2268.
(i - 189)*(i + 2)*(i + 6)
Factor 5*f**3 - 1470*f**2 - 8975*f - 7500.
5*(f - 300)*(f + 1)*(f + 5)
Suppose -5*h**3 - 131080*h**2 - 262140*h = 0. What is h?
-26214, -2, 0
Let n**3 - 7603*n**2 + 498531*n - 8207793 = 0. Calculate n.
33, 7537
Find c, given that -17035*c**2 - 10*c = 0.
-2/3407, 0
Solve 4*h**4 + 116*h**3 + 724*h**2 + 1116*h + 504 = 0.
-21, -6, -1
Find z, given that 5*z**4 - 4745*z**3 + 1113815*z**2 + 5669145*z + 4550580 = 0.
-4, -1, 477
Solve -v**4/8 + 287*v**3/2 + 365805*v**2/4 + 32424975*v/2 + 7380561375/8 = 0 for v.
-165, 1643
Suppose z**3/5 + 12481*z**2/5 + 24959*z/5 + 12479/5 = 0. What is z?
-12479, -1
Factor 2*u**3 + 264*u**2 + 3510*u.
2*u*(u + 15)*(u + 117)
Find p, given that -7*p**5/3 - 9592*p**4/3 - 3258419*p**3/3 + 18863566*p**2/3 - 8055104*p - 2840064 = 0.
-688, -2/7, 3
Suppose 25928464*f**2 - 549936*f + 2916 = 0. Calculate f.
27/2546
Factor -2*q**2/3 - 170*q/3 + 176.
-2*(q - 3)*(q + 88)/3
Factor x**2/6 - 2273*x/3 - 4547/6.
(x - 4547)*(x + 1)/6
Let -3*t**2/2 + 60*t + 81534 = 0. Calculate t.
-214, 254
Solve 15*m**2 + 35193*m - 28164 = 0.
-2347, 4/5
Factor 5*q**3 + 150*q**2 - 1685*q + 2730.
5*(q - 7)*(q - 2)*(q + 39)
What is p in -676*p**4 - 13576*p**3/5 - 3604*p**2/5 + 20224*p/5 + 336/5 = 0?
-3, -2, -14/845, 1
Find r such that -2*r**4 + 378*r**3 + 2342*r**2 - 330*r - 11700 = 0.
-5, -3, 2, 195
Find p, given that -2*p**3/7 + 114*p**2/7 - 790*p/7 - 7050/7 = 0.
-5, 15, 47
What is x in 4*x**5/5 - 1653*x**4/5 - 1243*x**3/5 + 414*x**2/5 = 0?
-1, 0, 1/4, 414
Find f, given that -2*f**2/5 - 403904*f/5 - 20392305152/5 = 0.
-100976
What is b in b**4/5 - 18*b**3/5 - 469*b**2/5 - 978*b/5 + 792 = 0?
-12, -5, 2, 33
Determine w so that 4*w**3/9 + 3744*w**2 - 179968*w/3 + 2160640/9 = 0.
-8440, 8
Determine i so that i**3/3 + 370*i**2/3 + 4211*i/3 - 30430/3 = 0.
-358, -17, 5
Solve -145234*t**3/19 - 145232*t**2/19 + 2*t/19 = 0.
-1, 0, 1/72617
What is r in 5*r**4 - 635*r**3 + 22990*r**2 - 160660*r - 706440 = 0?
-3, 14, 58
Factor -k**5/3 + 33*k**4 - 189*k**3 + 279*k**2.
-k**2*(k - 93)*(k - 3)**2/3
Suppose -2*u**4/3 - 22*u**3/3 + 34*u**2 + 262*u/3 + 140/3 = 0. Calculate u.
-14, -1, 5
Let 247445*d**4 + 1148455*d**3 - 436110*d**2 + 38740*d + 200 = 0. Calculate d.
-5, -2/409, 2/11
Solve -246*k**3 + 15370*k**2/3 + 2696*k/3 - 56 = 0 for k.
-2/9, 2/41, 21
Factor 4*l**3/5 + 652*l**2/5.
4*l**2*(l + 163)/5
Factor q**4/6 - 467*q**3/2 + 495577*q**2/6 - 1138201*q/2 + 2429045/3.
(q - 697)**2*(q - 5)*(q - 2)/6
Solve -4*l**2 + 30332*l + 30336 = 0.
-1, 7584
Let -14*y**5 - 636*y**4 - 6346*y**3 + 20244*y**2 - 6336*y - 6912 = 0. What is y?
-24, -3/7, 1, 2
Solve -2*f**2/9 - 71092*f/3 - 631759058 = 0 for f.
-53319
Factor 166*n**3/13 - 160*n**2/13 - 344*n/13.
2*n*(n - 2)*(83*n + 86)/13
Determine d, given that -d**4/4 - 122*d**3 - 10209*d**2/2 + 2690640*d - 10741653/4 = 0.
-303, 1, 117
Determine h, given that 2*h**4/7 + 1784*h**3/7 + 408384*h**2/7 + 4702720*h/7 + 12390400/7 = 0.
-440, -8, -4
Factor -3*a**2/5 - 26388*a/5 + 52788/5.
-3*(a - 2)*(a + 8798)/5
Let 21*r**5/4 + 797*r**4/2 + 1423*r**3/4 - 75*r**2/2 = 0. Calculate r.
-75, -1, 0, 2/21
Suppose j**4/7 + 6267*j**3/7 - 4*j**2/7 - 25068*j/7 = 0. What is j?
-6267, -2, 0, 2
Factor -5*n**2 + 17050*n - 186945.
-5*(n - 3399)*(n - 11)
Factor 2*j**2/5 - 369888*j/5 + 17102141568/5.
2*(j - 92472)**2/5
Suppose -c**3 + 1643*c**2 + 116417*c - 118059 = 0. Calculate c.
-69, 1, 1711
Factor f**4 + 158*f**3 - 6627*f**2 + 24580*f - 23932.
(f - 31)*(f - 2)**2*(f + 193)
Determine i, given that 7*i**4 + 39993*i**3 + 56988346*i**2 - 384521280*i - 114514400 = 0.
-2860, -2/7, 7
Factor 3*t**2 - 510495*t - 1021002.
3*(t - 170167)*(t + 2)
Factor -3*g**3 - 1362*g**2 - 43032*g - 80640.
-3*(g + 2)*(g + 32)*(g + 420)
Let 3*f**2/2 - 933*f/2 + 34380 = 0. What is f?
120, 191
Factor t**4/5 + 4307*t**3/5 - 4308*t**2/5.
t**2*(t - 1)*(t + 4308)/5
Solve y**2/3 - 5158*y/3 - 34520 = 0.
-20, 5178
Factor 2*z**3 + 8645*z**2 - 2*z - 8645.
(z - 1)*(z + 1)*(2*z + 8645)
Suppose 2*q**3/5 + 2*q**2 - 16416*q/5 - 600696/5 = 0. What is q?
-54, 103
Let -68*s**5 - 400*s**4 - 224*s**3 + 1664*s**2 + 1984*s - 256 = 0. What is s?
-4, -2, 2/17, 2
What is i in -i**4 + 512*i**3 - 87271*i**2 + 5030928*i - 14321088 = 0?
3, 141, 184
Factor 286*n**3 - 6788*n**2 - 1824*n.
2*n*(n - 24)*(143*n + 38)
Factor -20*b**2 + 7*b + 465.
-(b - 5)*(20*b + 93)
Factor -10746*j**2/5 - 10743*j/5 + 3/5.
-3*(j + 1)*(3582*j - 1)/5
Let -25*o**3/2 - 30*o**2 + 6445*o/2 - 17460 = 0. Calculate o.
-97/5, 8, 9
Solve u**4/4 + 174*u**3 + 44766*u**2 + 5042520*u + 209960100 = 0 for u.
-210, -138
What is w in 10*w**3 + 55946*w**2 + 111862*w + 55926 = 0?
-27963/5, -1
Let