/4 - 637*y**3/4 + 6617*y**2/4 + 8436*y + 9025 = 0 for y.
-25, -2, 19
Factor -f**4/5 - 4*f**3/5 - 2*f**2/5 + 4*f/5 + 3/5.
-(f - 1)*(f + 1)**2*(f + 3)/5
Factor -15*x**3 + 8975*x**2 - 1344005*x + 447005.
-5*(x - 299)**2*(3*x - 1)
Solve -2*s**3/3 + 568*s**2/3 - 40328*s/3 = 0.
0, 142
Factor 624*m**2 + 1684*m + 136.
4*(12*m + 1)*(13*m + 34)
Find l such that -14*l**3 - 2538*l**2 + 1824*l + 728 = 0.
-182, -2/7, 1
Suppose -8*t**4/23 + 74*t**3/23 - 150*t**2/23 - 32*t/23 + 200/23 = 0. What is t?
-1, 2, 25/4
Factor -r**3 + 459*r**2 - 915*r + 457.
-(r - 457)*(r - 1)**2
Factor -2*x**4 - 854*x**3 - 5076*x**2 - 10120*x - 6736.
-2*(x + 2)**3*(x + 421)
Find u such that -784*u**4 + 3220*u**3 - 4596*u**2 + 2560*u - 400 = 0.
1/4, 1, 10/7
Solve -2*z**2/15 - 1172*z/15 - 171698/15 = 0 for z.
-293
Factor 2*f**5 + 4*f**4 - 2*f**3 - 4*f**2.
2*f**2*(f - 1)*(f + 1)*(f + 2)
Suppose -2*d**3/5 - 14*d**2/5 - 8*d/5 + 24/5 = 0. Calculate d.
-6, -2, 1
Factor -2*h**3/11 + 416*h**2/11 - 22042*h/11 + 42436/11.
-2*(h - 103)**2*(h - 2)/11
Factor 4*j**5 - 16*j**3 - 8*j**2 + 12*j + 8.
4*(j - 2)*(j - 1)*(j + 1)**3
Determine z so that -2*z**2 - 42*z = 0.
-21, 0
What is s in -2*s**3/7 - 17658*s**2/7 - 51967494*s/7 - 50980111614/7 = 0?
-2943
Factor a**3/3 - 4*a**2/3 + a.
a*(a - 3)*(a - 1)/3
Suppose 5*u**2 + 40*u - 165 = 0. Calculate u.
-11, 3
Let b**5/9 - 17*b**4/9 + 6*b**3 - 22*b**2/9 - 55*b/9 + 13/3 = 0. Calculate b.
-1, 1, 3, 13
Determine q so that -q**5/5 - 23*q**4/5 + 96*q**3/5 + 504*q**2 - 14256*q/5 + 11664/5 = 0.
-18, 1, 6
Suppose 2*w**3 + 36*w**2 + 34*w = 0. What is w?
-17, -1, 0
Determine y, given that -4*y**2 - 1912*y - 3808 = 0.
-476, -2
Factor -j**2/5 + 3343*j/5 - 3342/5.
-(j - 3342)*(j - 1)/5
Factor 4*k**4 - 80*k**3 + 592*k**2 - 1920*k + 2304.
4*(k - 6)**2*(k - 4)**2
Factor -3*s**4 + 24*s**3 - 57*s**2 + 36*s.
-3*s*(s - 4)*(s - 3)*(s - 1)
Factor 5*k**3 + 45*k**2 + 90*k.
5*k*(k + 3)*(k + 6)
Determine w, given that -5*w**4 - 35*w**3 + 70*w**2 + 240*w = 0.
-8, -2, 0, 3
Solve 5*k**4 + 225*k**3 - 5*k**2 - 225*k = 0 for k.
-45, -1, 0, 1
What is a in -2*a**4 - 220*a**3 - 1464*a**2 - 2276*a - 1030 = 0?
-103, -5, -1
Solve 2*s**2 - 88*s + 168 = 0.
2, 42
Let -3*l**4 - 12*l**3 + 33*l**2 - 18*l = 0. What is l?
-6, 0, 1
Factor m**4 + 16*m**3 - m**2 - 16*m.
m*(m - 1)*(m + 1)*(m + 16)
Let -2*o**3/5 - 28*o**2/5 - 24*o - 144/5 = 0. What is o?
-6, -2
Factor -4*w**5/5 + 8356*w**4/5 - 875288*w**3 + 13079224*w**2/5 - 13062532*w/5 + 4351396/5.
-4*(w - 1043)**2*(w - 1)**3/5
Factor 20*a**3/7 - 188*a**2/7 + 440*a/7.
4*a*(a - 5)*(5*a - 22)/7
Suppose -4*u**3 + 96*u**2 - 180*u + 88 = 0. What is u?
1, 22
Factor -5*b**3 - 5*b**2 + 40*b + 60.
-5*(b - 3)*(b + 2)**2
Determine k, given that 5*k**2 + 23690*k + 28060805 = 0.
-2369
Factor -243*r**3 - 31482*r**2 - 1023156*r - 225816.
-3*(3*r + 194)**2*(9*r + 2)
Find g, given that -2*g**3/7 + 10*g**2/7 + 64*g/7 + 72/7 = 0.
-2, 9
What is z in -z**3/4 - 3*z**2/4 = 0?
-3, 0
Factor -2025*w**4 + 2160*w**3 - 216*w**2 - 192*w - 16.
-(3*w - 2)**2*(15*w + 2)**2
Solve -12*n**5/5 + 99*n**4/5 - 39*n**3 - 171*n**2/5 + 459*n/5 + 324/5 = 0 for n.
-1, -3/4, 3, 4
Let 4*y**5 - 148*y**4 - 152*y**3 = 0. What is y?
-1, 0, 38
Suppose -g**3/2 + 167*g**2 + 1020*g = 0. Calculate g.
-6, 0, 340
Factor -2*h**3/7 + 104*h**2/7.
-2*h**2*(h - 52)/7
Factor d**3/8 - 5*d**2/4.
d**2*(d - 10)/8
Factor -70*k**3 - 188*k**2 - 104*k - 16.
-2*(k + 2)*(5*k + 2)*(7*k + 2)
Suppose 8*m**4/11 + 78*m**3/11 + 108*m**2/11 - 32*m/11 = 0. Calculate m.
-8, -2, 0, 1/4
Factor 3*g**2/2 + 867*g + 250563/2.
3*(g + 289)**2/2
Factor -4*v**2 - 824*v - 42436.
-4*(v + 103)**2
Let -b**4/3 + 20*b**3/9 - 25*b**2/9 = 0. Calculate b.
0, 5/3, 5
Find n such that -n**2 - 176*n - 519 = 0.
-173, -3
Suppose 5*u**3 + 230*u**2 - 20*u - 920 = 0. What is u?
-46, -2, 2
Factor -36*x**3/5 + 224*x**2/5 + 528*x/5 - 128/5.
-4*(x - 8)*(x + 2)*(9*x - 2)/5
Factor -t**4 + 4*t**3 + t**2 - 4*t.
-t*(t - 4)*(t - 1)*(t + 1)
Factor -68*q**3/7 + 13*q**2/7 + q/7.
-q*(4*q - 1)*(17*q + 1)/7
Find w such that 2*w**2/3 - 248*w/3 - 168 = 0.
-2, 126
Find t, given that 3*t**5/5 - 33*t**4/5 + 72*t**3/5 + 108*t**2/5 = 0.
-1, 0, 6
Solve -4*v**2 - 1120*v + 2256 = 0 for v.
-282, 2
Factor 2*y**2/19 - 10*y/19.
2*y*(y - 5)/19
Factor 22*p**2/3 - 15*p + 2/3.
(p - 2)*(22*p - 1)/3
Suppose 4*s**4/3 + 52*s**3/3 - 196*s**2/3 - 52*s/3 + 64 = 0. What is s?
-16, -1, 1, 3
Factor -4*p**2 - 372*p.
-4*p*(p + 93)
Suppose q**2/5 + 14*q + 69/5 = 0. What is q?
-69, -1
Factor -2*m**4/9 + 3232*m**3/9 - 6448*m**2/3 + 38656*m/9 - 25760/9.
-2*(m - 1610)*(m - 2)**3/9
Factor 2*i**4/7 - 208*i**3/7 + 1388*i**2/7 + 209040*i/7 + 2020050/7.
2*(i - 67)**2*(i + 15)**2/7
Solve -27*b**4 - 81*b**3 + 84*b**2 + 204*b - 144 = 0 for b.
-3, -2, 2/3, 4/3
What is c in 3*c**2/2 - 60*c + 114 = 0?
2, 38
Factor -2*i**3/7 + 58*i**2/7 - 8*i.
-2*i*(i - 28)*(i - 1)/7
Factor 2*x**4 + 40*x**3 + 200*x**2.
2*x**2*(x + 10)**2
Factor -3*w**3/2 + 30*w**2 - 111*w/2 + 27.
-3*(w - 18)*(w - 1)**2/2
Factor 2*q**3/3 + 2*q**2 - 4*q - 16/3.
2*(q - 2)*(q + 1)*(q + 4)/3
Factor -4*a**3 - 40*a**2 - 124*a - 120.
-4*(a + 2)*(a + 3)*(a + 5)
Factor -5*i**3 - 260*i**2 - 3295*i - 3040.
-5*(i + 1)*(i + 19)*(i + 32)
Factor -23*c**5/8 + 301*c**4/8 - 13*c**3/4.
-c**3*(c - 13)*(23*c - 2)/8
Let 45*x**5 + 125*x**4 - 210*x**3 - 500*x**2 + 120*x = 0. What is x?
-3, -2, 0, 2/9, 2
Factor f**3/3 + 13*f**2/3 - 29*f/3 + 5.
(f - 1)**2*(f + 15)/3
Factor -i**3 - 403*i**2 - 40803*i - 40401.
-(i + 1)*(i + 201)**2
Let -20*l**4 - 16*l**3 + 4*l**2 = 0. Calculate l.
-1, 0, 1/5
Suppose -3*y**2/4 + 69*y/4 - 45 = 0. Calculate y.
3, 20
Factor -3*x**5 + 1524*x**4 - 257043*x**3 + 14220330*x**2 + 29217900*x + 14739000.
-3*(x - 170)**3*(x + 1)**2
Solve -2*p**5/7 + 2*p**4/7 + 20*p**3/7 + 16*p**2/7 = 0.
-2, -1, 0, 4
Factor 5*q**3 - 6*q**2 - 359*q + 72.
(q - 9)*(q + 8)*(5*q - 1)
Factor -2*o**2/11 - 184*o/11 - 4232/11.
-2*(o + 46)**2/11
Find a, given that a**2/5 - 383*a/5 + 600 = 0.
8, 375
What is q in q**3/6 - 44*q**2/3 + 328*q/3 - 640/3 = 0?
4, 80
Factor u**3/8 - 57*u**2/4 + 420*u - 784.
(u - 56)**2*(u - 2)/8
Factor 2*o**3/19 + 2*o**2/19 - 40*o/19.
2*o*(o - 4)*(o + 5)/19
Solve v**2/4 - 7*v - 29/4 = 0.
-1, 29
Factor -4*y**3 - 144*y**2 - 1428*y - 4312.
-4*(y + 7)**2*(y + 22)
Let -g**5/2 - 33*g**4/2 - 149*g**3/2 - 259*g**2/2 - 99*g - 28 = 0. Calculate g.
-28, -2, -1
Factor 2*y**3/11 - 20*y**2/11 - 702*y/11 + 720/11.
2*(y - 24)*(y - 1)*(y + 15)/11
What is g in 2*g**4/5 + 28*g**3/5 - 218*g**2/5 + 428*g/5 - 48 = 0?
-20, 1, 2, 3
Let -u**5 + 58*u**4 + 644*u**3 + 2394*u**2 + 3645*u + 1836 = 0. Calculate u.
-3, -1, 68
Factor -b**5/2 - 9*b**4 - 33*b**3/2 - 8*b**2.
-b**2*(b + 1)**2*(b + 16)/2
Determine q so that -2*q**5 + 1610*q**4 + 4*q**3 - 3220*q**2 - 2*q + 1610 = 0.
-1, 1, 805
Factor 4*n**4 + 2896*n**3 + 786264*n**2 + 94875856*n + 4293132484.
4*(n + 181)**4
Find m such that 2*m**3/7 - 68*m**2/7 + 346*m/7 - 40 = 0.
1, 5, 28
Let 4*u**4 + 24*u**3 - 68*u**2 - 24*u + 64 = 0. What is u?
-8, -1, 1, 2
Determine s, given that 4*s**2 - 408*s + 404 = 0.
1, 101
Let -5*a**3 + 720*a**2 - 705*a - 1430 = 0. Calculate a.
-1, 2, 143
Determine w, given that w**2 - 892*w + 198916 = 0.
446
Factor s**2/2 + 6*s + 11/2.
(s + 1)*(s + 11)/2
Find a, given that a**4 + 2132*a**3 + 1136356*a**2 = 0.
-1066, 0
Let 2*u**5 + 496*u**4 + 41330*u**3 + 1183916*u**2 + 2245816*u + 1102736 = 0. What is u?
-82, -1
Factor -u**2 - 11*u - 10.
-(u + 1)*(u + 10)
Determine t, given that -20*t**5 + 168*t**4 - 424*t**3 + 464*t**2 - 228*t + 40 = 0.
2/5, 1, 5
Solve -5*b**3 - 100*b**2 - 455*b = 0 for b.
-13, -7, 0
Suppose -4*s**2/7 - 2224*s/7 + 2228/7 = 0. What is s?
-557, 1
Suppose 2*d**4 - 3300*d**3 + 1357946*d**2 + 2725800*d + 1364552 = 0. What is d?
-1, 826
Factor -n**4/8 + 5*n**3/2 + n**2/8 - 5*n/2.
-n*(n - 20)*(n - 1)*(n + 1)/8
Factor -m**5/2 + 3*m**4/2 + 3*m**3 - 5*m**2 - 21*m/2 - 9/2.
-(m - 3)**2*(m + 1)**3/2
What is c in 16*c**2 - 60*c - 16 = 0?
-1/4, 4
Suppose -22*s**5 + 128*s**4 - 262*s**3 + 212*s**2 - 40*s - 16 = 0. Calculate s.
-2/11, 1, 2
Factor -2*x**2/3 - 116*x/3 - 1682/3.
-2*(x + 29)**2/3
Factor 75*p**4 + 510*p**3 + 207*p**2 - 864*p + 324.
3*(p + 2)*(p + 6)*(5*p - 3)**2
Factor z**2 + 109*z - 222.
(z - 2)*(z + 111)
Find d such that d**3/3 + 49*d**2/3 - 50*d/3 = 0.
-50, 0, 1
Determine u so that -u**2/3 - 4*u + 325/3 = 0.
-