8 + 54*c**2 - 81*c/2 = 0.
-6, 0, 1, 3, 6
Solve 3*s**5/2 + 21*s**4/2 - 3*s**3/2 - 309*s**2/2 - 360*s - 216 = 0.
-4, -3, -1, 4
Factor 3*f**4 - 75*f**3 + 429*f**2 + 507*f.
3*f*(f - 13)**2*(f + 1)
Solve 50*j**4 + 610*j**3/11 - 852*j**2/11 + 248*j/11 - 16/11 = 0 for j.
-2, 1/11, 2/5
Factor 3*c**4 - 15*c**3 - 75*c**2 + 375*c.
3*c*(c - 5)**2*(c + 5)
Factor 2*g**3/11 + 18*g**2/11 - 504*g/11.
2*g*(g - 12)*(g + 21)/11
Determine z, given that 3*z**5/5 - 9*z**4/5 - 48*z**3/5 + 12*z**2 + 288*z/5 + 192/5 = 0.
-2, -1, 4
Let -4*l**4/7 - 24*l**3 - 468*l**2/7 + 3888*l - 104976/7 = 0. What is l?
-27, 6
Factor -f**4 + 273*f**3 + 275*f**2 - 273*f - 274.
-(f - 274)*(f - 1)*(f + 1)**2
Factor -d**3 - 10*d**2 + 207*d + 684.
-(d - 12)*(d + 3)*(d + 19)
Let 3*v**5/2 - 39*v**4 + 579*v**3/2 - 468*v**2 + 216*v = 0. Calculate v.
0, 1, 12
Factor 6*i**4 + 334*i**3 + 4592*i**2 - 1568*i.
2*i*(i + 28)**2*(3*i - 1)
Determine w, given that -4*w**3 + 50*w**2 + 212*w + 192 = 0.
-2, -3/2, 16
Determine p, given that 5*p**4 - 1000*p**3 + 48990*p**2 + 101000*p + 51005 = 0.
-1, 101
Factor 2*w**2/3 + 118*w/3 + 116/3.
2*(w + 1)*(w + 58)/3
Suppose -2*d**3/11 + 1052*d**2/11 - 3142*d/11 + 2092/11 = 0. Calculate d.
1, 2, 523
Suppose -5*z**4/4 - 3*z**3 - 9*z**2/4 - z/2 = 0. What is z?
-1, -2/5, 0
Suppose 4*z**5/5 - 32*z**4/5 + 16*z**3/5 + 88*z**2/5 - 4*z - 56/5 = 0. What is z?
-1, 1, 2, 7
Find a, given that -2*a**3/13 + 2*a/13 = 0.
-1, 0, 1
Factor -12*j**2 - 152*j - 416.
-4*(j + 4)*(3*j + 26)
Factor -4*k**3 + 1004*k**2 - 64480*k + 184512.
-4*(k - 124)**2*(k - 3)
Factor -3*l**3 + 60*l**2 + 441*l + 702.
-3*(l - 26)*(l + 3)**2
Find t such that -4*t**2 + 12*t + 40 = 0.
-2, 5
Determine y so that y**4/3 + 2*y**3 + 13*y**2/3 + 4*y + 4/3 = 0.
-2, -1
Suppose c**4/5 + 23*c**3/5 = 0. What is c?
-23, 0
Let 2*u**2/11 + 104*u/11 + 1352/11 = 0. What is u?
-26
Determine d so that 4*d**3 - 360*d**2 + 704*d = 0.
0, 2, 88
Solve -2*j**4/7 - 2*j**3 + 4*j**2 + 96*j/7 = 0.
-8, -2, 0, 3
Factor -3*s**2/5 - 291*s + 5868/5.
-3*(s - 4)*(s + 489)/5
Factor -5*d**5 - 75*d**4 + 455*d**3 - 865*d**2 + 690*d - 200.
-5*(d - 2)*(d - 1)**3*(d + 20)
Solve -2*i**4/7 + 62*i**3/7 + 2*i**2/7 - 62*i/7 = 0.
-1, 0, 1, 31
Determine g, given that 2*g**2/3 - 7*g + 19/3 = 0.
1, 19/2
Suppose i**2/3 + 5*i/3 - 14/3 = 0. Calculate i.
-7, 2
What is b in 2*b**3/17 - 4*b**2/17 - 10*b/17 + 12/17 = 0?
-2, 1, 3
Solve q**4 + 13*q**3 - 15*q**2 - 13*q + 14 = 0 for q.
-14, -1, 1
Factor -36*c**3 - 107*c**2 - 69*c + 2.
-(c + 1)*(c + 2)*(36*c - 1)
Determine o so that o**3/2 - 6*o**2 + 35*o/2 - 12 = 0.
1, 3, 8
Determine h so that -2*h**4/3 + 152*h**3/3 - 3158*h**2/3 + 3216*h + 4320 = 0.
-1, 5, 36
Factor h**4/7 - 129*h**3/7 + 374*h**2/7 + 72*h.
h*(h - 126)*(h - 4)*(h + 1)/7
Let 3*u**4 + 18*u**3 + 36*u**2 + 30*u + 9 = 0. Calculate u.
-3, -1
Determine r so that -4*r**3/7 + 92*r**2/7 - 80*r/7 - 176/7 = 0.
-1, 2, 22
Find j, given that 5*j**4 - 10*j**2 + 5 = 0.
-1, 1
Factor 20*z**2 - 18*z - 38.
2*(z + 1)*(10*z - 19)
Solve 330*z**2 - 1975*z - 30 = 0.
-1/66, 6
Factor -14*p**3 - 13*p**2 + p.
-p*(p + 1)*(14*p - 1)
Factor -250*i**2/7 - 222*i/7 + 4.
-2*(i + 1)*(125*i - 14)/7
Factor -2*g**3/7 + 3774*g**2/7 - 2373846*g/7 + 497716378/7.
-2*(g - 629)**3/7
Suppose -21*h**5 + 261*h**4 - 171*h**3 - 4341*h**2 - 2160*h + 1728 = 0. Calculate h.
-3, -1, 3/7, 8
Suppose 44*p**3/3 + 76*p**2 + 184*p/3 = 0. What is p?
-46/11, -1, 0
Suppose -4*z**2 + 1264*z - 99856 = 0. What is z?
158
Solve -2*i**5/5 + 9*i**4 - 327*i**3/5 + 779*i**2/5 - 171*i/5 - 324/5 = 0.
-1/2, 1, 4, 9
Solve 2*s**4/5 + 32*s**3/5 + 42*s**2/5 - 188*s/5 + 112/5 = 0.
-14, -4, 1
Suppose -2*p**4/13 - 64*p**3/13 + 608*p**2/13 - 1280*p/13 = 0. Calculate p.
-40, 0, 4
Factor -16*r**4/5 - 488*r**3/5 - 3721*r**2/5.
-r**2*(4*r + 61)**2/5
Factor g**4/3 + g**3/3.
g**3*(g + 1)/3
Factor 4*x**5/11 - 98*x**4/11 + 48*x**3/11.
2*x**3*(x - 24)*(2*x - 1)/11
Factor -2*y**4 + 4*y**3.
-2*y**3*(y - 2)
Solve w**4/4 - 11*w**3/4 + 6*w**2 + w - 8 = 0 for w.
-1, 2, 8
Factor 2*r**3/9 + 16*r**2/9 + 10*r/9 - 100/9.
2*(r - 2)*(r + 5)**2/9
Determine u so that 2*u**3/9 + 46*u**2/3 - 94*u/3 + 142/9 = 0.
-71, 1
Factor -s**4/2 + 21*s**3/2 - 17*s**2 - 42*s + 76.
-(s - 19)*(s - 2)**2*(s + 2)/2
Find c such that 2*c**4/13 + 74*c**3/13 - 24*c**2/13 - 920*c/13 - 1184/13 = 0.
-37, -2, 4
What is d in -8*d**3/13 + 358*d**2/13 - 4136*d/13 + 2904/13 = 0?
3/4, 22
Factor -2*d**3 - 12*d**2 - 10*d.
-2*d*(d + 1)*(d + 5)
Factor k**2/4 + 21*k/2 - 43/4.
(k - 1)*(k + 43)/4
Factor -u**4/2 - 21*u**3 - 225*u**2/2 - 162*u.
-u*(u + 3)**2*(u + 36)/2
Factor -4*u**2/3 + 532*u/3 - 1488.
-4*(u - 124)*(u - 9)/3
Factor 10*i**3/11 - 74*i**2/11 + 112*i/11 + 96/11.
2*(i - 4)**2*(5*i + 3)/11
Factor -d**5/4 + 3*d**4/4 - d**3/2.
-d**3*(d - 2)*(d - 1)/4
Suppose 2*i**5/7 - 16*i**4/7 - 12*i**3/7 + 296*i**2/7 - 310*i/7 - 600/7 = 0. What is i?
-4, -1, 3, 5
Factor 2*d**2/3 + 3074*d/3 - 3076/3.
2*(d - 1)*(d + 1538)/3
Factor 2*w**2 - 34*w.
2*w*(w - 17)
Find y, given that -y**2 + 112*y - 3136 = 0.
56
Determine m so that 5*m**2 - 680*m + 675 = 0.
1, 135
Factor 2*x**2/3 + 4*x/3 - 16/3.
2*(x - 2)*(x + 4)/3
Factor c**2/3 - 31*c/3 + 28.
(c - 28)*(c - 3)/3
Factor -3*x**4/7 + 12*x**3/7 + 15*x**2/7.
-3*x**2*(x - 5)*(x + 1)/7
Suppose 3*u**4 - 98*u**3 + 1087*u**2 - 4312*u + 2420 = 0. What is u?
2/3, 10, 11
Find j such that 2*j**3 - 94*j**2 - 96*j = 0.
-1, 0, 48
Factor -2*c**3 + 46*c**2 - 40*c - 88.
-2*(c - 22)*(c - 2)*(c + 1)
Determine a, given that 2*a**3/3 - 72*a**2/5 + 1082*a/15 + 156/5 = 0.
-2/5, 9, 13
Factor -2*p**3 - 16*p**2 - 34*p - 20.
-2*(p + 1)*(p + 2)*(p + 5)
Solve 2*m**2 + 134*m - 276 = 0 for m.
-69, 2
Factor 3*q**2 + 897*q + 6984.
3*(q + 8)*(q + 291)
Let -y**3/3 + 243*y**2 - 59049*y + 4782969 = 0. Calculate y.
243
Factor 2*y**2/11 - 10*y/11 - 300/11.
2*(y - 15)*(y + 10)/11
Factor -4*w**2 + 36*w - 32.
-4*(w - 8)*(w - 1)
Suppose x**5/9 - 212*x**4/9 + 3815*x**3/3 - 2450*x**2 = 0. Calculate x.
0, 2, 105
Factor 4*y**3 - 8*y**2 - 84*y - 72.
4*(y - 6)*(y + 1)*(y + 3)
Solve 2*l**5 - 56*l**4 + 248*l**3 - 428*l**2 + 326*l - 92 = 0 for l.
1, 2, 23
Factor -z**4 - 7*z**3 + 9*z**2 + 7*z - 8.
-(z - 1)**2*(z + 1)*(z + 8)
Factor -3*y**2 - 225*y - 1050.
-3*(y + 5)*(y + 70)
Factor 2*m**3/15 - 128*m**2/15 - 538*m/15 - 136/5.
2*(m - 68)*(m + 1)*(m + 3)/15
Solve -r**3/3 + 1475*r**2 - 2175625*r + 3209046875/3 = 0 for r.
1475
Let -n**2/10 + 1043*n/5 - 417/2 = 0. What is n?
1, 2085
Factor -13*f**3/4 - 5*f**2 + 13*f/4 + 5.
-(f - 1)*(f + 1)*(13*f + 20)/4
Factor 4*x**2 - 244*x.
4*x*(x - 61)
Suppose -2*p**2/7 + 58*p/7 + 592/7 = 0. What is p?
-8, 37
Factor -w**2 - 53*w - 102.
-(w + 2)*(w + 51)
Factor -h**3 - 150*h**2 - 7500*h - 125000.
-(h + 50)**3
Determine h, given that 4*h**4/3 - 12*h**3 - 44*h**2 - 140*h/3 - 16 = 0.
-1, 12
Let 3*t**5 + 229*t**4 - 865*t**3 + 1191*t**2 - 718*t + 160 = 0. Calculate t.
-80, 2/3, 1
Suppose 16*n**5/9 - 44*n**4/9 - 292*n**3/3 - 24*n**2 = 0. What is n?
-6, -1/4, 0, 9
What is g in -20*g**5 - 388*g**4 + 2368*g**3 + 3888*g**2 + 1152*g = 0?
-24, -1, -2/5, 0, 6
Determine t so that -1922*t**4/3 + 35030*t**3/9 + 36236*t**2/9 + 7552*t/9 + 448/9 = 0.
-2/3, -4/31, 7
Factor -v**3/2 + 13*v**2/2 - 28*v + 40.
-(v - 5)*(v - 4)**2/2
Suppose 4*c**3 + 4*c**2 - 24*c = 0. What is c?
-3, 0, 2
Solve s**5/5 - 13*s**4/5 - 1218*s**3/5 - 10534*s**2/5 + 24769*s/5 - 2601 = 0.
-17, 1, 45
Solve -3*k**3/5 - 12*k**2 + 3*k/5 + 12 = 0.
-20, -1, 1
Suppose -3*z**2/5 - 1491*z/5 - 5916/5 = 0. What is z?
-493, -4
Determine d, given that -111*d**4 + 279*d**3 - 171*d**2 - 51*d + 54 = 0.
-18/37, 1
Let 10*x**5/21 + 74*x**4/21 - 16*x**3/3 - 1256*x**2/21 - 160*x/7 = 0. Calculate x.
-6, -5, -2/5, 0, 4
Determine m so that m**4/3 - 4*m**3/3 - 5*m**2 + 6*m = 0.
-3, 0, 1, 6
Factor x**3 - 21*x**2 + 120*x - 208.
(x - 13)*(x - 4)**2
Factor 3*x**3/7 + 150*x**2/7 + 129*x/7 - 126.
3*(x - 2)*(x + 3)*(x + 49)/7
Factor -3*i**2 + 108*i - 297.
-3*(i - 33)*(i - 3)
Let h**2/2 + 10*h/3 - 23/6 = 0. What is h?
-23/3, 1
Solve -2*a**4 - 232*a**3/5 - 466*a**2/5 - 84*a/5 = 0 for a.
-21, -2, -1/5, 0
Factor 12*w**3 - 8*w**2 + w.
w*(2*w - 1)*(6*w - 1)
Factor -2*n**2 - 32*n + 34.
-2*(n - 1)*(n + 17)
Factor -5*n**3 + 447*n**2 + 732*n - 364.
-(n - 91)*(n + 2)*(5*n - 2)
Let h**2/7 + 31*h/7 - 102/7 = 0. Calculate h.
-34, 3
Suppose -2*h**2 + 18*h - 28 = 0. What is h?
2, 7
Facto