*2 + 4946*z - 4944 = 0.
1, 2472
Factor 2*p**3 + 724*p**2 + 19078*p + 124916.
2*(p + 11)*(p + 17)*(p + 334)
Factor 4*z**4 - 2296*z**3 + 13680*z**2 - 27296*z + 18176.
4*(z - 568)*(z - 2)**3
Factor 5*c**2 - 10425*c + 41620.
5*(c - 2081)*(c - 4)
Suppose -2*x**3/7 - 54*x**2/7 - 286*x/7 + 342/7 = 0. Calculate x.
-19, -9, 1
Find r, given that r**5/2 + 24*r**4 + 210*r**3 + 215*r**2 - 1941*r/2 - 999 = 0.
-37, -9, -3, -1, 2
Factor 225*g**3 - 30594*g**2 + 117984*g + 3168.
3*(g - 132)*(g - 4)*(75*g + 2)
Factor 2*z**3/5 - 1682*z**2/5 - 2*z/5 + 1682/5.
2*(z - 841)*(z - 1)*(z + 1)/5
What is m in 2*m**2/9 + 28760*m/9 + 143750/9 = 0?
-14375, -5
Factor -3*j**2/5 + 28998*j/5 - 28983.
-3*(j - 9661)*(j - 5)/5
Find w, given that 5*w**2 + 25710*w + 77085 = 0.
-5139, -3
Solve 40*n**5/7 - 292046*n**4/7 - 1124838*n**3/7 - 964300*n**2/7 + 292184*n/7 + 116880/7 = 0 for n.
-2, -1/4, 2/5, 7305
Factor -3*s**2/5 + 790587*s/5 - 790584/5.
-3*(s - 263528)*(s - 1)/5
What is m in 2*m**3 + 174504*m**2 - 349014*m + 174508 = 0?
-87254, 1
Let 3*d**5/2 - 723*d**4/2 + 51081*d**3/2 - 906117*d**2/2 + 2352438*d = 0. What is d?
0, 11, 12, 109
Factor -5*a**5 - 360*a**4 - 340*a**3 + 1090*a**2 + 1785*a + 710.
-5*(a - 2)*(a + 1)**3*(a + 71)
Find g such that 5*g**3 - 1330*g**2 + 1265*g + 15900 = 0.
-3, 4, 265
Let 12*q**5 - 232*q**4 - 4260*q**3 - 9072*q**2 + 36848*q = 0. Calculate q.
-7, 0, 2, 94/3
Find h, given that h**5 + 12*h**4 - 879*h**3 - 4598*h**2 + 215100*h - 405000 = 0.
-25, 2, 18
Factor 3*c**3 + 6417*c**2 - 568503*c + 12342075.
3*(c - 43)**2*(c + 2225)
Factor k**4 - 24503*k**3 - 49014*k**2 + 98012*k + 196040.
(k - 24505)*(k - 2)*(k + 2)**2
Suppose -x**5/7 - 13373*x**4/7 - 66849*x**3/7 - 120319*x**2/7 - 93578*x/7 - 26736/7 = 0. Calculate x.
-13368, -2, -1
Let -5*i**4 - 30*i**3 + 305*i**2 + 1050*i = 0. Calculate i.
-10, -3, 0, 7
Factor -3*u**3/2 - 87957*u**2/2 - 175896*u - 175890.
-3*(u + 2)**2*(u + 29315)/2
Factor 3*q**2 - 642723*q - 1285458.
3*(q - 214243)*(q + 2)
Solve 6*y**5/7 - 200*y**4/7 + 1254*y**3/7 - 2964*y**2/7 + 2728*y/7 - 624/7 = 0 for y.
1/3, 2, 3, 26
Determine f so that 5*f**2 - 26545*f + 53070 = 0.
2, 5307
Suppose -3*m**3/5 - 15846*m**2/5 - 20924643*m/5 = 0. What is m?
-2641, 0
Find a, given that 2*a**3 - 1200*a**2 - 4824*a - 4832 = 0.
-2, 604
Suppose -2*n**3/11 + 80*n**2/11 - 674*n/11 - 756/11 = 0. Calculate n.
-1, 14, 27
Suppose -2*x**4/11 - 554*x**3/11 - 39702*x**2/11 - 348246*x/11 - 309096/11 = 0. Calculate x.
-159, -108, -9, -1
Factor -4*q**2 + 7440*q + 967216.
-4*(q - 1982)*(q + 122)
What is p in -24*p**5 + 2828*p**4 - 74244*p**3 + 129040*p**2 - 57600*p = 0?
0, 5/6, 1, 36, 80
Determine x, given that -4107*x**3 - 192080727*x**2 - 20765448*x - 561228 = 0.
-46769, -2/37
Suppose 2*x**5/9 - 152*x**4/9 + 3398*x**3/9 - 3160*x**2/3 - 32200*x = 0. Calculate x.
-7, 0, 23, 30
Factor -3*w**4 + 111*w**3 - 906*w**2 + 2688*w - 2592.
-3*(w - 27)*(w - 4)**2*(w - 2)
Determine j so that j**3/5 - 1169*j**2/5 - 11766*j/5 - 28296/5 = 0.
-6, -4, 1179
Factor -9*q**2 + 2581818*q - 185160671809.
-(3*q - 430303)**2
Let -4*f**4 + 356*f**3 - 6456*f**2 + 38320*f - 53600 = 0. Calculate f.
2, 10, 67
Suppose -3*u**3 - 81180*u**2 - 162348*u = 0. Calculate u.
-27058, -2, 0
Let z**5 + 168*z**4 + 9572*z**3 + 193930*z**2 + 517275*z + 332750 = 0. What is z?
-55, -2, -1
Let -7*i**3/2 - 181*i**2/2 + 209*i - 28 = 0. Calculate i.
-28, 1/7, 2
Suppose z**2 + 32924*z + 270997444 = 0. Calculate z.
-16462
Suppose -3*y**3/5 + 1821*y**2/5 - 339549*y/5 + 17910627/5 = 0. What is y?
89, 259
Factor 6*i**3 + 44402*i**2 + 236616*i - 177480.
2*(i + 6)*(i + 7395)*(3*i - 2)
Factor i**4 + 28*i**3 - 924*i**2 + 1728*i.
i*(i - 18)*(i - 2)*(i + 48)
Suppose 5*w**2 + 85160*w + 85155 = 0. Calculate w.
-17031, -1
Find x, given that -6*x**5/5 + 198*x**4 - 45012*x**3/5 + 68328*x**2 - 511056*x/5 = 0.
0, 2, 7, 78
Factor 2*o**4 + 408*o**3 - 2496*o**2 + 5024*o - 3360.
2*(o - 2)**3*(o + 210)
Find n, given that -4*n**2/5 + 114316*n/5 = 0.
0, 28579
Factor -f**4 - 1018*f**3 - 273901*f**2 - 7543380*f - 54908100.
-(f + 15)**2*(f + 494)**2
Find m such that 3*m**3/4 + 1341*m**2 - 229257*m/4 + 1210545/2 = 0.
-1830, 21
Let -4*m**5 + 104*m**4 + 48*m**3 - 1312*m**2 + 1664*m = 0. Calculate m.
-4, 0, 2, 26
Factor 129*b**2 + 98*b + 8.
(3*b + 2)*(43*b + 4)
Factor 3*p**3 - 75*p**2 - 78*p.
3*p*(p - 26)*(p + 1)
Factor -6561*a**3/2 - 1384533*a**2 - 68366*a - 844.
-(a + 422)*(81*a + 2)**2/2
Find z such that -2*z**3 - 7070*z**2 + 2*z + 7070 = 0.
-3535, -1, 1
Suppose -2*p**2/3 + 878*p/3 = 0. Calculate p.
0, 439
Solve 5*n**2/2 + 4805*n - 28875/2 = 0.
-1925, 3
Let -2*i**3/3 - 16*i**2/3 - 6*i + 12 = 0. What is i?
-6, -3, 1
Find m, given that 172*m**3/5 + 4464*m**2/5 - 26868*m/5 + 248 = 0.
-31, 2/43, 5
Find q, given that -q**4 + 216*q**3 - 8820*q**2 + 130896*q - 653184 = 0.
12, 18, 168
Determine u, given that -u**5 - 3967*u**4 + 27803*u**3 - 59597*u**2 + 51658*u - 15896 = 0.
-3974, 1, 4
Determine v so that -4*v**4 - 404*v**3 - 13792*v**2 - 197136*v - 1016064 = 0.
-49, -18, -16
Suppose o**2 + 1012*o + 147136 = 0. Calculate o.
-836, -176
Factor -4*j**3/3 - 668*j**2/3 - 3256*j/3 - 864.
-4*(j + 1)*(j + 4)*(j + 162)/3
Determine h, given that -h**4/8 + 123*h**2/8 - 121*h/4 + 15 = 0.
-12, 1, 10
Factor 2*f**3/7 - 3030*f**2/7 + 6054*f/7 - 3026/7.
2*(f - 1513)*(f - 1)**2/7
Factor -q**3/3 - 6116*q**2/3 - 9345245*q/3 + 18714962/3.
-(q - 2)*(q + 3059)**2/3
Factor 2*m**2 - 907224*m + 102881923272.
2*(m - 226806)**2
Solve 15*n**5 - 276*n**4 - 3096*n**3 - 9990*n**2 - 12231*n - 4374 = 0.
-3, -2, -3/5, 27
Find a such that -4*a**2 - 91112*a - 518837284 = 0.
-11389
Let -y**2 + 9498*y - 217925 = 0. Calculate y.
23, 9475
Solve -4*h**2 - 53812*h - 161400 = 0.
-13450, -3
Suppose -3*b**2 + 1338*b + 311805 = 0. Calculate b.
-169, 615
What is z in -z**4 + 2044*z**3 + 464781*z**2 + 24870356*z - 25337180 = 0?
-106, 1, 2255
Factor q**3/4 - 61153*q**2/4 - 30577*q/2.
q*(q - 61154)*(q + 1)/4
Factor -a**2 + 291*a + 9280.
-(a - 320)*(a + 29)
Factor 3*w**2/7 + 768*w/7 - 9648/7.
3*(w - 12)*(w + 268)/7
Factor -c**3/5 - 253*c**2/5 + 20296*c - 6808836/5.
-(c - 118)**2*(c + 489)/5
What is n in 4*n**2 - 917608*n = 0?
0, 229402
Solve -5*x**2 + 4485*x = 0 for x.
0, 897
Let -2*i**2/13 + 18086*i/13 - 270840/13 = 0. Calculate i.
15, 9028
Find r, given that -12*r**4/5 - 118*r**3 - 192*r**2 + 2490*r + 6392/5 = 0.
-47, -17/3, -1/2, 4
Factor 3*g**2 - 31113*g + 186570.
3*(g - 10365)*(g - 6)
Factor -p**2/7 + 28576*p/7 - 204146944/7.
-(p - 14288)**2/7
Determine v so that -2*v**5/15 - 56*v**4/15 + 1328*v**3/15 - 1724*v**2/3 + 1390*v - 900 = 0.
-45, 1, 5, 6
Let -2*j**5/5 - 4488*j**4/5 - 4486*j**3/5 = 0. What is j?
-2243, -1, 0
Let 4*u**2 + 40420*u = 0. What is u?
-10105, 0
Solve -u**2/7 + 450*u/7 - 9416/7 = 0.
22, 428
Factor 5*y**3 - 32215*y**2 - 20*y + 128860.
5*(y - 6443)*(y - 2)*(y + 2)
Solve p**2 + 960216*p + 230503691664 = 0 for p.
-480108
Factor v**3 - 314*v**2 + 4469*v + 4784.
(v - 299)*(v - 16)*(v + 1)
Determine y so that -y**2/4 + 1688*y + 20292 = 0.
-12, 6764
Determine r, given that -2*r**4/5 + 66868*r**3/5 - 559049898*r**2/5 + 447079448*r - 447025960 = 0.
2, 16715
Suppose -18*c**5/7 - 34*c**4 + 5816*c**3/7 - 616*c**2 - 1248*c/7 = 0. Calculate c.
-26, -2/9, 0, 1, 12
Find i, given that i**3/2 + 22257*i**2/2 + 222495*i/2 + 556175/2 = 0.
-22247, -5
Solve 5*m**2 + 985150*m + 48526026125 = 0.
-98515
Factor 4*x**4 - 1044*x**3 + 65312*x**2.
4*x**2*(x - 157)*(x - 104)
Find u, given that 3*u**4/7 + 102*u**3 - 2181*u**2/7 - 2892*u/7 = 0.
-241, -1, 0, 4
Suppose 2*x**5 + 70*x**4/9 - 244*x**3/9 - 704*x**2/9 + 320*x/3 = 0. Calculate x.
-4, 0, 10/9, 3
Factor z**2/5 + 282*z/5 - 8343/5.
(z - 27)*(z + 309)/5
Let -4*y**2 - 132*y - 1088 = 0. Calculate y.
-17, -16
Factor 5*t**3/4 - 3248*t**2 - 20797*t/4 - 1950.
(t - 2600)*(t + 1)*(5*t + 3)/4
Factor -f**3/3 + 19*f**2/3 - 88*f/3.
-f*(f - 11)*(f - 8)/3
Let 3*u**2 - 120*u - 51072 = 0. Calculate u.
-112, 152
Factor 5*b**2/2 - 3125*b/2 - 206360.
5*(b - 737)*(b + 112)/2
Determine s, given that -2*s**4/9 + 1210*s**3/9 - 5516*s**2/3 = 0.
0, 14, 591
Factor -3*z**3/8 - 5637*z**2/4 - 10591923*z/8.
-3*z*(z + 1879)**2/8
Find z, given that 4*z**2 - 993728*z + 61718458624 = 0.
124216
Find r, given that 7*r**5 - 13*r**4 - 51*r**3 + 49*r**2 + 92*r + 12 = 0.
-2, -1, -1/7, 2, 3
Suppose -7*w**5/3 