*l**5/3 - 6854*l**4/3 - 70490*l**3/3 - 195850*l**2/3 - 22500*l = 0.
-675, -5, -2/5, 0
Let 2*l**3/9 + 20*l**2/3 - 2234*l/9 - 1564/3 = 0. Calculate l.
-51, -2, 23
Determine b so that 27*b**4/7 + 286557*b**3/7 - 1083093*b**2/7 - 1688133*b/7 - 318510/7 = 0.
-10617, -1, -2/9, 5
Determine b, given that -18*b**5 - 1371012*b**4 - 1827992*b**3 - 609328*b**2 = 0.
-76166, -2/3, 0
What is y in 3*y**3 - 71787*y**2 - 215388*y = 0?
-3, 0, 23932
Factor z**2/2 + 2737*z - 16431/2.
(z - 3)*(z + 5477)/2
Find s such that -2*s**2/3 + 31754*s/3 + 31760 = 0.
-3, 15880
Solve -w**3/2 + 511*w**2/6 - 10129*w/3 + 1116 = 0 for w.
1/3, 62, 108
Factor 18*q**3/5 - 304*q**2 + 9096*q/5 - 3744/5.
2*(q - 78)*(q - 6)*(9*q - 4)/5
Let 4*y**5 + 184*y**4 - 3216*y**3 + 8504*y**2 - 8116*y + 2640 = 0. Calculate y.
-60, 1, 11
Factor 2*a**2/7 + 5654*a/7.
2*a*(a + 2827)/7
Suppose -2*t**3/9 + 178*t**2/9 - 440*t/3 + 216 = 0. What is t?
2, 6, 81
Solve -o**5/2 + 104*o**4 - 7807*o**3/2 - 170868*o**2 + 544968*o = 0.
-27, 0, 3, 116
Solve 2*d**3 - 372*d**2 - 6002*d - 5628 = 0.
-14, -1, 201
Factor 3*q**2/8 + 3*q/2 - 969/2.
3*(q - 34)*(q + 38)/8
Determine j so that 4*j**5 - 64*j**4 + 76*j**3 + 576*j**2 - 1008*j = 0.
-3, 0, 2, 3, 14
Factor -7*g**3 + 1754*g**2 - 997*g - 750.
-(g - 250)*(g - 1)*(7*g + 3)
Factor -5*a**2/3 - 88550*a/3 - 392055125/3.
-5*(a + 8855)**2/3
Factor -2*a**2 - 20788*a - 41568.
-2*(a + 2)*(a + 10392)
Suppose 3*q**3/4 + 255*q**2/4 + 1794*q + 16731 = 0. Calculate q.
-33, -26
Let 5*z**4 + 8255*z**3 + 41190*z**2 + 65860*z + 32920 = 0. Calculate z.
-1646, -2, -1
Factor -o**2/4 - 531*o + 10720.
-(o - 20)*(o + 2144)/4
Determine r, given that -4*r**2/5 - 24591*r/5 + 6148/5 = 0.
-6148, 1/4
Solve x**4 - 53*x**3 + 777*x**2 - 1975*x + 1250 = 0 for x.
1, 2, 25
Factor -l**4/5 + 5303*l**3/5 + 21224*l**2/5 + 21228*l/5.
-l*(l - 5307)*(l + 2)**2/5
Factor 5*h**2/4 + 360*h + 17875/4.
5*(h + 13)*(h + 275)/4
Factor -45*f**3 - 850*f**2 - 3885*f - 5220.
-5*(f + 3)**2*(9*f + 116)
Factor -16*t**2 - 11986*t - 13464.
-2*(t + 748)*(8*t + 9)
Factor -3*c**4/4 + 1326*c**3 - 1174833*c**2/2 + 1170858*c - 2339067/4.
-3*(c - 883)**2*(c - 1)**2/4
Factor 2*q**2 - 14490*q + 28972.
2*(q - 7243)*(q - 2)
Suppose 2*p**2/5 + 2*p - 532/5 = 0. What is p?
-19, 14
Determine j, given that 4*j**2/7 - 364212*j/7 + 364208/7 = 0.
1, 91052
Find i such that -170*i**2 - 15304*i - 360 = 0.
-90, -2/85
Find p such that p**4 - 18*p**3 - 361*p**2 + 18*p + 360 = 0.
-12, -1, 1, 30
Determine k, given that -3*k**4/4 + 201*k**3/4 + 339*k**2/2 - 849*k + 630 = 0.
-6, 1, 2, 70
Factor 2*z**2/7 + 2340*z/7 - 4688/7.
2*(z - 2)*(z + 1172)/7
Factor 2*u**3/11 + 9202*u**2/11 + 183440*u/11 + 916200/11.
2*(u + 10)**2*(u + 4581)/11
Determine u, given that 4*u**3/7 + 604*u**2/7 - 4384*u/7 + 6320/7 = 0.
-158, 2, 5
Suppose -242*c**4/15 - 3806*c**3/15 + 10396*c**2/15 + 3008*c/5 + 576/5 = 0. Calculate c.
-18, -4/11, 3
Find v such that -4*v**3/3 + 6419*v**2/3 + 59287*v + 14688 = 0.
-27, -1/4, 1632
Determine x, given that -2*x**3 + 37422*x**2 + 8*x - 149688 = 0.
-2, 2, 18711
Factor -y**2 + 141436*y - 5001035524.
-(y - 70718)**2
Factor -2*j**3 - 9282*j**2 + 8*j + 37128.
-2*(j - 2)*(j + 2)*(j + 4641)
Factor 2*r**3/5 - 21734*r**2/5 + 43462*r/5 - 4346.
2*(r - 10865)*(r - 1)**2/5
Suppose -2*x**3/3 - 578*x**2 - 160314*x - 41661514/3 = 0. What is x?
-347, -173
What is a in -3*a**2/4 - 63369*a - 1338543387 = 0?
-42246
Solve -2*c**2 + 39398*c - 354420 = 0.
9, 19690
Suppose -2*o**3/9 - 15436*o**2/9 + 97990*o/3 - 30948 = 0. Calculate o.
-7737, 1, 18
Let 2340*u**5 - 13064*u**4 + 19836*u**3 - 3016*u**2 - 6384*u + 288 = 0. Calculate u.
-6/13, 2/45, 1, 2, 3
Let -5*q**3 + 37925*q**2 + 75865*q + 37935 = 0. Calculate q.
-1, 7587
Find r, given that r**3/3 - 89564*r**2/3 + 2005427524*r/3 = 0.
0, 44782
Suppose 4*n**2 - 4036*n + 4032 = 0. What is n?
1, 1008
Find p such that -4*p**5 + 182460*p**4 - 364856*p**3 - 2189368*p**2 - 2554308*p - 912260 = 0.
-1, 5, 45613
Solve -c**5/5 + 65*c**4 + 137*c**3 - 2033*c**2 + 9156*c/5 = 0 for c.
-7, 0, 1, 4, 327
Factor -5*p**2/4 - 15205*p/4 + 7605/2.
-5*(p - 1)*(p + 3042)/4
Factor 6*f**3/23 + 19604*f**2/23 - 13072*f/23.
2*f*(f + 3268)*(3*f - 2)/23
Determine r, given that -7*r**2 - 251561*r - 71874 = 0.
-35937, -2/7
Factor -w**3/2 + 16429*w**2/2 + 65729*w/2 + 49299/2.
-(w - 16433)*(w + 1)*(w + 3)/2
Find q, given that -q**2/2 + 1476*q + 44505/2 = 0.
-15, 2967
Suppose 5*p**4 + 2225*p**3 + 21555*p**2 - 84825*p = 0. What is p?
-435, -13, 0, 3
Solve -2*w**5/5 + 42*w**4/5 - 154*w**3/5 - 2074*w**2/5 + 3612*w - 7840 = 0 for w.
-8, 5, 7, 10
Determine p so that -2*p**5 - 42*p**4 + 340*p**3 + 420*p**2 - 338*p - 378 = 0.
-27, -1, 1, 7
Let -2*d**2/7 - 6270*d/7 + 12548/7 = 0. Calculate d.
-3137, 2
Solve 22*i**4/9 - 1888*i**3/9 + 4374*i**2 + 48844*i/9 + 7568/9 = 0 for i.
-1, -2/11, 43, 44
Factor -3*u**3/2 - 690*u**2 + 8442*u - 25488.
-3*(u - 6)**2*(u + 472)/2
Factor 3*f**2 + 81288*f + 550644912.
3*(f + 13548)**2
Factor r**5/5 + 411*r**4 + 46440*r**3.
r**3*(r + 120)*(r + 1935)/5
Factor -g**4/2 - 356*g**3 + 87975*g**2 - 6398784*g + 301899771/2.
-(g - 69)**3*(g + 919)/2
Let -4*t**5/3 + 60*t**4 + 2852*t**3/3 + 3188*t**2 - 2848*t/3 - 3248 = 0. Calculate t.
-7, -6, -1, 1, 58
Determine v so that -4*v**3 - 1484*v**2 - 120736*v + 3226944 = 0.
-196, 21
Solve g**5 + 271*g**4 - 3*g**3 - 811*g**2 + 542*g = 0 for g.
-271, -2, 0, 1
Let -d**4 - 515*d**3 - 34875*d**2 - 840625*d - 6875000 = 0. What is d?
-440, -25
Solve 3*a**5 + 2304*a**4 + 451488*a**3 + 3502080*a**2 + 6931200*a = 0 for a.
-380, -4, 0
Find v, given that -16*v**2/7 - 1511604*v/7 - 377900/7 = 0.
-94475, -1/4
Determine r, given that r**4 + 34466*r**3 + 296941821*r**2 - 593987044*r + 297010756 = 0.
-17234, 1
Determine x so that -x**3 - 1036*x**2/3 + 4949*x/3 + 17150/3 = 0.
-350, -7/3, 7
Let 2*v**3 - 1432*v**2 + 300104*v - 14930496 = 0. Calculate v.
72, 322
Determine j, given that 224*j**4/11 - 2896272*j**3/11 + 2275550*j**2/11 - 594738*j/11 + 51716/11 = 0.
1/4, 2/7, 12929
Suppose -3*p**3/2 + 2025*p**2/2 - 8037*p/2 - 10065/2 = 0. What is p?
-1, 5, 671
Suppose 153*d**4 - 31362*d**3 - 95781*d**2 - 65514*d - 1248 = 0. Calculate d.
-2, -1, -1/51, 208
Determine x so that 3*x**2/2 + 162303*x + 8780754603/2 = 0.
-54101
Factor c**2/2 + 21470*c - 42942.
(c - 2)*(c + 42942)/2
Let 10*g**4 + 855*g**3 + 1260*g**2 - 5*g - 420 = 0. What is g?
-84, -1, 1/2
Suppose -3*d**5 + 2166*d**4 - 12768*d**3 - 85920*d**2 = 0. What is d?
-4, 0, 10, 716
What is p in 9*p**2/8 - 794379*p/8 + 33099 = 0?
1/3, 88264
What is w in 2*w**3/5 - 1094*w**2/5 - 5532*w/5 + 6624/5 = 0?
-6, 1, 552
Factor d**2/3 + 912302*d/3 + 208073734801/3.
(d + 456151)**2/3
Let 3*o**3 + 2727*o**2 + 18942*o = 0. What is o?
-902, -7, 0
Factor w**2 - 13076*w - 78492.
(w - 13082)*(w + 6)
Determine n so that -n**3/2 + 4465*n**2/2 + 8933*n/2 + 4467/2 = 0.
-1, 4467
What is p in p**4/2 - 16*p**3 - 151*p**2/2 + 121*p + 180 = 0?
-5, -1, 2, 36
Determine z so that 3*z**3 + 312*z**2 - 9537*z + 17802 = 0.
-129, 2, 23
Let -2*h**4/13 - 64*h**3/13 + 1318*h**2/13 + 1380*h/13 = 0. Calculate h.
-46, -1, 0, 15
Factor y**4/7 + y**3 + 17*y**2/7 + 17*y/7 + 6/7.
(y + 1)**2*(y + 2)*(y + 3)/7
Determine y so that 3*y**2 - 4161*y - 12510 = 0.
-3, 1390
Solve -3*x**3 + 33849*x**2 + 33858*x - 67704 = 0.
-2, 1, 11284
Determine i so that 97878*i**4 + 62594*i**3 - 353764*i**2/11 + 34472*i/11 + 112/11 = 0.
-1, -14/4449, 2/11
Suppose -m**2 - 318*m + 265240 = 0. What is m?
-698, 380
Factor -2*m**3/3 - 1646*m**2/3 - 445280*m/3 - 13235464.
-2*(m + 242)**2*(m + 339)/3
Factor -a**4 - 421740*a**3 + 2530464*a**2 - 5060944*a + 3373968.
-(a - 2)**3*(a + 421746)
Factor r**3/2 + 2719*r**2/2 - r/2 - 2719/2.
(r - 1)*(r + 1)*(r + 2719)/2
Determine s so that 5*s**5/3 + 242*s**4/3 - 693*s**3 + 2740*s**2/3 - 236*s/3 - 224 = 0.
-56, -2/5, 1, 6
Solve 2*q**5/3 + 2414*q**4/3 - 2*q**3/3 - 2414*q**2/3 = 0.
-1207, -1, 0, 1
Suppose c**2 + 136785*c - 136786 = 0. What is c?
-136786, 1
Factor -5*p**4 + 755*p**3 - 1450*p**2 - 5960*p.
-5*p*(p - 149)*(p - 4)*(p + 2)
Suppose 4*u**2 + 271*u/5 - 126/5 = 0. What is u?
-14, 9/20
What is s in -386*s**2/3 + 209084*s - 3250/3 = 0?
1/193, 1625
Factor -4*v**2 - 29176*v.
-4*v*(v + 7294)
Factor -4*h**4 + 84*h**3 - 556*h**2 + 924*h + 1568.
-4*(h - 8)*(h - 7)**2*(h + 1)
Suppose -644*h**3 - 12228*h**2 + 27200*h 