
-1049, 1
Find y, given that -y**3 - 209*y**2 - 6027*y + 559773 = 0.
-123, 37
Determine s so that 3*s**2/2 - 6567*s/2 = 0.
0, 2189
Determine m, given that -1851*m**2 + 1683*m + 168 = 0.
-56/617, 1
Find u such that u**4 - 3706*u**3 + 29604*u**2 - 73976*u + 59168 = 0.
2, 4, 3698
Factor -h**3/2 + 2247*h**2 + 8991*h/2 + 2248.
-(h - 4496)*(h + 1)**2/2
Let 3*j**2/2 - 206595*j + 14227164675/2 = 0. Calculate j.
68865
Factor r**4/7 - 36262*r**3/7 + 328769421*r**2/7 - 93918580*r + 46956700.
(r - 18130)**2*(r - 1)**2/7
Suppose -2*c**5 - 186*c**4 + 1406*c**3 + 562*c**2 - 3828*c - 2800 = 0. Calculate c.
-100, -1, 2, 7
Let 5*q**5/3 + 480*q**4 - 56360*q**3/3 + 53470*q**2/3 + 18785*q - 54910/3 = 0. Calculate q.
-323, -1, 1, 34
Solve -u**3 + 426*u**2 - 849*u + 424 = 0 for u.
1, 424
Solve 4*y**2/5 + 332088*y/5 - 664192/5 = 0.
-83024, 2
Factor -l**3/6 + 55*l**2/2 - 241*l/3 - 108.
-(l - 162)*(l - 4)*(l + 1)/6
What is q in 3*q**2/4 + 187983*q/2 + 11779202763/4 = 0?
-62661
Find d such that 2*d**5/5 + 1648*d**4/5 - 1668*d**3/5 - 14872*d**2/5 - 18158*d/5 - 1320 = 0.
-825, -1, 4
Solve 4*g**5 + 16*g**4 - 112*g**3 - 88*g**2 + 684*g - 504 = 0.
-7, -3, 1, 2, 3
What is o in o**4/5 - 262*o**3/5 + 1029*o**2 - 20308*o/5 + 15424/5 = 0?
1, 4, 16, 241
What is h in -2*h**4 - 968*h**3/5 + 3234*h**2/5 + 3392*h/5 - 160 = 0?
-100, -1, 1/5, 4
Let -2*u**3/5 - 51564*u**2/5 - 103122*u/5 - 10312 = 0. What is u?
-25780, -1
Find u, given that 5*u**2 - 524480*u + 13753963520 = 0.
52448
Factor o**2/2 - 728*o.
o*(o - 1456)/2
Let -5*y**4 + 1605*y**3 + 27390*y**2 - 50289700*y + 4048251960 = 0. What is y?
-177, 166
Factor -o**4/4 - 21*o**3/2 - 58*o**2 + 2325*o/2 - 4375/4.
-(o - 7)*(o - 1)*(o + 25)**2/4
Let 10*v**4/3 - 44*v**3/3 - 18*v**2 + 128*v/3 - 40/3 = 0. Calculate v.
-2, 2/5, 1, 5
Factor 2*g**2/11 + 3414*g/11 + 620.
2*(g + 2)*(g + 1705)/11
Determine a so that 2*a**2/3 + 11053*a + 16579/3 = 0.
-16579, -1/2
Determine w so that 2*w**4/3 - 14668*w**3/9 + 8940112*w**2/9 + 3324928*w + 2663424 = 0.
-2, -4/3, 1224
Factor -5*n**4 - 140*n**3 - 1060*n**2 - 1600*n.
-5*n*(n + 2)*(n + 10)*(n + 16)
Find z such that 3*z**4 - 6240*z**3 - 75177*z**2 - 282270*z - 313800 = 0.
-5, -2, 2092
Factor q**3/11 - 926*q**2/11 - 11245*q/11 - 938.
(q - 938)*(q + 1)*(q + 11)/11
Find n, given that -3*n**5/7 - 75*n**4/7 - 429*n**3/7 - 141*n**2/7 + 4104*n/7 + 7344/7 = 0.
-17, -4, -3, 3
What is b in 12*b**5 - 1617*b**4 + 10479*b**3 - 14235*b**2 + 3441*b + 1920 = 0?
-1/4, 1, 5, 128
Determine i, given that -3*i**5 + 3516*i**4 + 3537*i**3 - 21114*i**2 = 0.
-3, 0, 2, 1173
Let 5*s**3 + 465*s**2 + 8415*s - 117045 = 0. Calculate s.
-51, 9
Solve 309*t**3/4 + 4629*t**2/4 - 2517*t/2 + 24 = 0 for t.
-16, 2/103, 1
Suppose -h**3 - 60293*h**2/2 - 227210402*h - 227195329/2 = 0. Calculate h.
-15073, -1/2
Let 4*x**3 - 47248*x**2 + 139523344*x = 0. Calculate x.
0, 5906
Suppose 34322*z**4 - 497014*z**3/3 + 271980*z**2 - 175104*z + 115520/3 = 0. Calculate z.
76/131, 5/3, 2
Solve -5*m**3 - 2575*m**2 - 32630*m = 0.
-502, -13, 0
Solve -9016*f**5/3 - 77378*f**4/3 - 59344*f**3 - 85094*f**2/3 - 11944*f/3 - 40 = 0 for f.
-5, -3, -2/7, -1/92
Factor 3*p**2/5 + 1776*p/5 - 10764/5.
3*(p - 6)*(p + 598)/5
Suppose -4*x**3 + 105764*x**2 - 4014700*x + 38125932 = 0. What is x?
19, 26403
Factor -z**3/4 - 3*z**2/2 + 729*z/4 - 713/2.
-(z - 23)*(z - 2)*(z + 31)/4
Factor 2*t**3 + 33016*t**2 + 264032*t + 528000.
2*(t + 4)**2*(t + 16500)
Factor -2*o**4 - 68*o**3 + 218*o**2 - 148*o.
-2*o*(o - 2)*(o - 1)*(o + 37)
Factor h**2/7 - 2360*h/7 + 11775/7.
(h - 2355)*(h - 5)/7
Factor 3*q**3/7 - 1086*q**2/7 + 1659*q - 10530/7.
3*(q - 351)*(q - 10)*(q - 1)/7
Suppose -2*x**3/13 - 17606*x**2/13 - 38737600*x/13 + 38755208/13 = 0. Calculate x.
-4402, 1
Find y, given that -5944*y**4/3 - 35662*y**3/3 - 17828*y**2 + 6*y = 0.
-3, 0, 1/2972
Factor b**3/4 - 239*b**2/2 + 51035*b/4 - 50083/2.
(b - 319)*(b - 157)*(b - 2)/4
Let 2*f**5/9 + 106*f**4/9 + 1478*f**3/9 + 2446*f**2/9 - 1480*f/9 - 2552/9 = 0. Calculate f.
-29, -22, -2, -1, 1
Suppose 5*l**3 - 405*l**2 - 830*l = 0. Calculate l.
-2, 0, 83
Solve -5*p**4 - 1040*p**3 + 32560*p**2 - 113280*p = 0 for p.
-236, 0, 4, 24
Factor 4*r**3 + 13388*r**2.
4*r**2*(r + 3347)
What is x in 2*x**2 + 7340*x/3 - 1632 = 0?
-1224, 2/3
Determine v so that -3*v**3 - 19890*v**2 - 32987556*v - 65895576 = 0.
-3314, -2
Factor x**4 + 3671*x**3 + 3481782*x**2 + 205251904*x + 201773792.
(x + 1)*(x + 62)*(x + 1804)**2
Let 18*i**3 + 3406*i**2 - 42612*i = 0. Calculate i.
-201, 0, 106/9
Solve o**4 - 337*o**3 + 1321*o**2 + 3657*o + 1998 = 0.
-1, 6, 333
Suppose -20*h**4/3 - 405*h**3 + 61925*h**2/3 + 59965*h - 16275 = 0. Calculate h.
-93, -3, 1/4, 35
Suppose 3*m**5/4 - 88*m**4 - 1865*m**3/4 + 1805*m**2/2 + 1853*m - 2202 = 0. What is m?
-6, -2, 1, 2, 367/3
What is m in 5*m**5 - 242*m**4 - 927*m**3 - 488*m**2 + 1028*m + 624 = 0?
-2, -3/5, 1, 52
Solve -3*u**2 + 206253*u - 206250 = 0.
1, 68750
Solve -2*c**4 + 1158*c**3 - 33390*c**2 + 247050*c = 0.
0, 15, 549
Find s, given that 34*s**2 + 2076*s - 38790 = 0.
-1293/17, 15
What is v in 3*v**2 - 4815*v + 260232 = 0?
56, 1549
Determine a, given that a**3/3 + 401*a**2/3 + 3935*a/3 + 9775/3 = 0.
-391, -5
Solve 5*r**5/2 - 89*r**4/2 - 22443*r**3/2 - 26815*r**2/2 - 2233*r = 0 for r.
-58, -1, -1/5, 0, 77
Suppose m**2/5 - 1093*m/5 - 6594/5 = 0. Calculate m.
-6, 1099
Let -2*l**2 + 1516*l + 12256 = 0. What is l?
-8, 766
Suppose 36481*i**3 - 28650*i**2 - 75168*i - 26912 = 0. Calculate i.
-116/191, 2
What is i in i**2 - 5124*i + 10244 = 0?
2, 5122
Factor -z**3/4 + 3593*z**2/4 - 21531*z/4 + 32283/4.
-(z - 3587)*(z - 3)**2/4
Suppose -2500*m**5 + 5600*m**4 - 636*m**3 - 5600*m**2 + 3136*m = 0. What is m?
-1, 0, 1, 28/25
Factor t**3/4 - 5621*t**2/4 + 7896099*t/4 + 7901721/4.
(t - 2811)**2*(t + 1)/4
Suppose -6*r**5 - 27*r**4 + 561*r**3 + 1710*r**2 - 9816*r - 10944 = 0. What is r?
-19/2, -6, -1, 4, 8
Factor -2*s**2/3 + 43600*s/3 - 237620000/3.
-2*(s - 10900)**2/3
What is d in -d**2/11 + 2196*d/11 + 15421/11 = 0?
-7, 2203
Factor 5*d**3 + 62560*d**2 - 751260*d + 2254320.
5*(d - 6)**2*(d + 12524)
Let 3*x**4 - 18*x**3 + 27*x**2 = 0. What is x?
0, 3
Find p, given that -4*p**3/7 + 604*p**2/7 + 20820*p/7 + 162900/7 = 0.
-15, 181
Solve -4*f**2 + 29500*f - 58984 = 0 for f.
2, 7373
Find m, given that 28*m**3 + 2304*m**2 - 54480*m + 286400 = 0.
-716/7, 10
Suppose -3*g**2 - 4922298*g - 2019084800067 = 0. Calculate g.
-820383
Solve -5*s**3 + 186770*s**2 - 1743964860*s - 3488676840 = 0.
-2, 18678
Factor -b**2/2 + 493*b/2 + 4864.
-(b - 512)*(b + 19)/2
Factor 11*t**3/4 + 84*t**2 - 369*t + 380.
(t - 2)**2*(11*t + 380)/4
Determine q, given that 3*q**5 + 30186*q**4 + 101213646*q**3 + 112988039340*q**2 - 339673066425*q + 226583783250 = 0.
-3355, 1, 2
Factor -3*n**4 + 25920*n**3 - 74675502*n**2 + 71812785624*n - 214766976951.
-3*(n - 2879)**3*(n - 3)
Factor -y**2/5 - 411*y/5 - 2700.
-(y + 36)*(y + 375)/5
What is w in 2*w**2/15 - 1232*w + 2845920 = 0?
4620
Let -2*o**2/3 + 345392*o - 44735862624 = 0. What is o?
259044
Let 675*k**5 - 14680305*k**4 - 35235180*k**3 - 31320880*k**2 - 12180480*k - 1740080 = 0. Calculate k.
-2/3, -2/5, 21751
Find t such that 2*t**5/7 + 660*t**4/7 + 52434*t**3/7 - 47520*t**2 + 72576*t = 0.
-168, 0, 3
Find s, given that -5*s**3 - 4915*s**2 - 80760*s + 1304100 = 0.
-966, -27, 10
Factor 6*w**2 + 333734*w - 222492.
2*(w + 55623)*(3*w - 2)
Factor -2*j**4/7 + 12948*j**3/7 - 38832*j**2/7 + 38828*j/7 - 12942/7.
-2*(j - 6471)*(j - 1)**3/7
Determine v, given that 2*v**2/9 + 272342*v/9 = 0.
-136171, 0
Factor 5*z**3 + 36170*z**2 - 5*z - 36170.
5*(z - 1)*(z + 1)*(z + 7234)
Find s such that -5*s**5 + 360*s**4 - 7635*s**3 + 64700*s**2 - 193500*s = 0.
0, 9, 10, 43
Factor -4*k**3 - 65896*k**2 + 131804*k - 65904.
-4*(k - 1)**2*(k + 16476)
Factor -2*l**2 + 3848*l + 3850.
-2*(l - 1925)*(l + 1)
Let 3*b**4/4 + 351*b**3 + 8313*b**2/4 - 351*b - 2079 = 0. Calculate b.
-462, -6, -1, 1
Let -4*m**3 + 280*m**2 - 900*m - 162000 = 0. What is m?
-20, 45
Let -2*b**4 - 282*b**3 + 294*b**2 + 1426*b + 852 = 0. What is b?
-142, -1, 3
Solve 2*h**5/19 - 226*h**4/19 - 530*h**3/19 + 8050*h**2/19 = 0 for h.
-7, 0, 5, 115
Determine d so that -d**3/4 + 77227*d**2/4 = 0.
0, 77227
Let 28*q**4 + 6112*q**3 - 16820*q**2 - 5304*q = 0. What is q?
-221, -2/7, 0, 3
Factor -z**3/3 - 215461*z**2/3 - 4