*2 + 3*m/2 = 0.
-3/2, -1, 0, 1
Solve 100*y**5 + 880*y**4 - 1264*y**3 - 520*y**2 + 1164*y - 360 = 0 for y.
-10, -1, 3/5, 1
Let -4*f**5 + 904*f**4 - 58672*f**3 + 869472*f**2 - 4852224*f + 9345024 = 0. What is f?
6, 104
Factor n**4 - n**3 - 56*n**2 - 144*n.
n*(n - 9)*(n + 4)**2
Solve 6*n**4/17 + 4*n**3 + 162*n**2/17 + 4*n/17 - 96/17 = 0.
-8, -3, -1, 2/3
Factor -5*w**4/3 + 15*w**3 - 40*w**2/3.
-5*w**2*(w - 8)*(w - 1)/3
Let -b**2 - 158*b = 0. What is b?
-158, 0
Factor 58*v**2/7 - 8*v/7.
2*v*(29*v - 4)/7
Suppose -5*z**2 + 210*z + 215 = 0. What is z?
-1, 43
Factor -2*z**3 + 966*z**2 + 972*z - 1936.
-2*(z - 484)*(z - 1)*(z + 2)
Determine l, given that l**5 - 23*l**4 + 42*l**3 = 0.
0, 2, 21
Suppose -81*j**4/2 - 486*j**3 - 1512*j**2 + 1176*j + 8232 = 0. What is j?
-14/3, 2
Let w**4 - 93*w**3 - 94*w**2 = 0. Calculate w.
-1, 0, 94
Find y, given that -2*y**2 + 878*y + 1764 = 0.
-2, 441
Factor -5*w**2/2 + 27*w/2 - 5.
-(w - 5)*(5*w - 2)/2
Factor 3*f**2/2 - 2460*f + 4917/2.
3*(f - 1639)*(f - 1)/2
Determine c, given that -4*c**2/3 - 1424*c/3 + 476 = 0.
-357, 1
Factor 3*l**3/5 + 27*l**2/5 + 33*l/5 - 63/5.
3*(l - 1)*(l + 3)*(l + 7)/5
Factor -h**4/2 - 8*h**3/3 - 25*h**2/6 - 2*h.
-h*(h + 1)*(h + 3)*(3*h + 4)/6
Factor 3*z**3/2 - 791*z**2 + 3677*z/2 - 525.
(z - 525)*(z - 2)*(3*z - 1)/2
Find n, given that 5*n**2 - 5*n - 10 = 0.
-1, 2
Factor v**5/5 - 2*v**4 + 21*v**3/5 + 36*v**2/5 - 108*v/5.
v*(v - 6)*(v - 3)**2*(v + 2)/5
Let -p**3 + 197*p**2 - 776*p + 772 = 0. Calculate p.
2, 193
Factor b**3/7 + 376*b**2/7 - 755*b/7 + 54.
(b - 1)**2*(b + 378)/7
Factor -2*s**3/19 - 240*s**2/19 + 4806*s/19 - 22356/19.
-2*(s - 9)**2*(s + 138)/19
Factor 2*z**2 + 22*z - 84.
2*(z - 3)*(z + 14)
Let -4*s**4 - 8*s**3 + 84*s**2 - 72*s = 0. What is s?
-6, 0, 1, 3
Let -36*h**5 + 240*h**4 - 400*h**3 - 120*h**2 + 436*h - 120 = 0. Calculate h.
-1, 1/3, 1, 3, 10/3
Factor -2*t**3 + 8274*t**2 - 11409846*t + 5244725878.
-2*(t - 1379)**3
Determine n, given that -n**5 + 6*n**4 - 10*n**3 + 11*n - 6 = 0.
-1, 1, 2, 3
Factor -d**4 + 2*d**3 + 13*d**2 + 10*d.
-d*(d - 5)*(d + 1)*(d + 2)
Solve 2*w**5/3 - 32*w**4/3 + 92*w**3/3 + 24*w**2 - 90*w - 72 = 0 for w.
-1, 3, 12
Factor -4*u**4/7 - 172*u**3/7 - 276*u**2 - 252*u.
-4*u*(u + 1)*(u + 21)**2/7
Factor -19*c**2/4 + 4277*c/4 - 225/2.
-(c - 225)*(19*c - 2)/4
Suppose i**5 - 7*i**4 + 6*i**3 + 28*i**2 - 40*i = 0. Calculate i.
-2, 0, 2, 5
Let 5*b**2 + 235*b = 0. What is b?
-47, 0
Factor -x**5 - x**4 + 11*x**3 + 29*x**2 + 26*x + 8.
-(x - 4)*(x + 1)**3*(x + 2)
Factor 26*b**2/5 - 191*b/5 + 63/5.
(b - 7)*(26*b - 9)/5
Suppose 2*g**4/11 + 54*g**3/11 - 6*g**2/11 - 166*g/11 - 108/11 = 0. Calculate g.
-27, -1, 2
Suppose -4*d**3 + 124*d**2 - 1056*d + 2736 = 0. What is d?
6, 19
Factor 25*m**3 + 1040*m**2 - 420*m.
5*m*(m + 42)*(5*m - 2)
Determine c so that 4*c**3 - 12*c**2 - 16*c = 0.
-1, 0, 4
Solve -7225*g**3/2 + 7055*g**2/2 + 169*g/2 + 1/2 = 0.
-1/85, 1
Factor -147*x**4 + 4914*x**3 - 39639*x**2 - 23868*x - 3468.
-3*(x - 17)**2*(7*x + 2)**2
Factor -4*z**2 - 124*z.
-4*z*(z + 31)
Factor -249*f**2/4 - 753*f/4 - 9/2.
-3*(f + 3)*(83*f + 2)/4
Factor 2*r**4/11 - 336*r**3/11 + 1252*r**2 + 28560*r/11 + 14450/11.
2*(r - 85)**2*(r + 1)**2/11
Factor -o**3 + 152*o**2 + 620*o + 624.
-(o - 156)*(o + 2)**2
Factor v**3/2 + 213*v**2/2 + 423*v/2 + 211/2.
(v + 1)**2*(v + 211)/2
Factor 2*j**2/5 + 808*j/5 + 81608/5.
2*(j + 202)**2/5
Solve -3*q**4 + 78*q**3 - 648*q**2 + 1458*q + 2187 = 0 for q.
-1, 9
Suppose -w**5/2 - 261*w**4 + 1049*w**3 - 1576*w**2 + 2103*w/2 - 263 = 0. Calculate w.
-526, 1
Let 200*s**3/9 - 466*s**2/9 + 136*s/9 - 8/9 = 0. Calculate s.
2/25, 1/4, 2
What is r in r**2/3 - 82*r/3 + 240 = 0?
10, 72
Find u such that 5*u**4 - 45*u**2 + 20*u + 60 = 0.
-3, -1, 2
Factor 2*k**4/7 - 32*k**3/7 + 188*k**2/7 - 480*k/7 + 450/7.
2*(k - 5)**2*(k - 3)**2/7
Solve -46*h**5/3 - 170*h**4 - 734*h**3/3 + 394*h**2 + 36*h = 0.
-9, -3, -2/23, 0, 1
Factor -m**4/3 + 4*m**3/3 + 32*m**2 - 256*m/3 - 2048/3.
-(m - 8)**2*(m + 4)*(m + 8)/3
Determine z so that 5*z**3 - 135*z**2 + 1200*z - 3520 = 0.
8, 11
Factor 3*t**2 + 63*t - 1938.
3*(t - 17)*(t + 38)
Factor 2*m**2 - 38*m + 68.
2*(m - 17)*(m - 2)
Suppose 2*f**5/5 + 24*f**4/5 - 118*f**3/5 + 156*f**2/5 - 64*f/5 = 0. Calculate f.
-16, 0, 1, 2
Let -z**5/4 + 11*z**4/2 - 77*z**3/2 + 92*z**2 - 5*z/4 - 275/2 = 0. Calculate z.
-1, 2, 5, 11
Let 27*w**4/7 + 222*w**3/7 + 237*w**2/7 + 6*w = 0. Calculate w.
-7, -1, -2/9, 0
Factor -t**4 - 138*t**3 - 5157*t**2 - 27324*t - 39204.
-(t + 3)**2*(t + 66)**2
Factor p**4/9 + 266*p**3/9 - p**2/9 - 266*p/9.
p*(p - 1)*(p + 1)*(p + 266)/9
Determine d so that -3*d**5/2 - 3*d**4/4 + 9*d**3/2 - 3*d**2/4 - 3*d/2 = 0.
-2, -1/2, 0, 1
What is b in -b**2 + 895*b + 896 = 0?
-1, 896
Factor t**3/3 + 8*t**2/3 + 7*t + 6.
(t + 2)*(t + 3)**2/3
Let 4*m**2 - 1584*m + 156816 = 0. Calculate m.
198
Find v, given that -2*v**3 + 2*v**2 + 10*v + 6 = 0.
-1, 3
Solve t**3 + 981*t**2 + 240099*t - 241081 = 0.
-491, 1
Factor -2*i**3/3 - 14*i**2/3 + 80*i/3 - 88/3.
-2*(i - 2)**2*(i + 11)/3
Determine z so that 9*z**5/2 - 25*z**4/2 - 21*z**3 + 50*z**2 + 12*z = 0.
-2, -2/9, 0, 2, 3
Let -v**2 + 16 = 0. Calculate v.
-4, 4
Determine t so that 10*t**3/3 + 5*t**2 - 10*t/3 - 5 = 0.
-3/2, -1, 1
Factor 3*g**4 - 27*g**3 + 84*g**2 - 108*g + 48.
3*(g - 4)*(g - 2)**2*(g - 1)
Factor 2*y**4 + 6*y**3 - 130*y**2 - 150*y + 2000.
2*(y - 5)**2*(y + 5)*(y + 8)
Find a such that -3*a**2 + 165*a - 162 = 0.
1, 54
Factor -3*t**5/4 - 3*t**4.
-3*t**4*(t + 4)/4
Suppose -c**3/2 - 7*c**2 - 11*c/2 + 13 = 0. Calculate c.
-13, -2, 1
Solve 578*a**4/11 + 204*a**3/11 - 1512*a**2/11 + 784*a/11 = 0 for a.
-2, 0, 14/17
Determine f, given that 2*f**4/3 + 2*f**3/3 - 10*f**2/3 + 2*f = 0.
-3, 0, 1
Solve 17*t**4/3 + 83*t**3/3 + 92*t**2/3 - 4*t = 0 for t.
-3, -2, 0, 2/17
Factor -3*w**4/8 + 3*w**3/8 + 51*w**2/8 + 45*w/8.
-3*w*(w - 5)*(w + 1)*(w + 3)/8
Factor 3*n**3/7 + 657*n**2/7 - 660*n/7.
3*n*(n - 1)*(n + 220)/7
Factor -x**5 + 42*x**4 - 696*x**3 + 5680*x**2 - 22800*x + 36000.
-(x - 10)**3*(x - 6)**2
Factor -q**4/8 + 5*q**3/4 + 9*q**2/2 + 19*q/4 + 13/8.
-(q - 13)*(q + 1)**3/8
Suppose -l**4/4 + l**3/4 + 4*l**2 - l - 12 = 0. Calculate l.
-3, -2, 2, 4
Suppose r**4/11 + 129*r**3/11 + 381*r**2/11 + 379*r/11 + 126/11 = 0. What is r?
-126, -1
Factor -4*t**4 + 32*t**3 + 4*t**2 - 32*t.
-4*t*(t - 8)*(t - 1)*(t + 1)
Find k such that -4*k**3 + 10480*k**2 - 20948*k + 10472 = 0.
1, 2618
Solve 2*c**4/5 + 14*c**3/5 - 16*c**2/5 = 0 for c.
-8, 0, 1
Factor 3*s**2 - 279*s - 282.
3*(s - 94)*(s + 1)
Factor -n**3/3 + 31*n**2/3 - 10*n.
-n*(n - 30)*(n - 1)/3
Factor -4*y**5 - 16*y**4 + 104*y**3 - 176*y**2 + 124*y - 32.
-4*(y - 1)**4*(y + 8)
Factor 2*k**5/3 + 108*k**4 + 320*k**3 + 956*k**2/3 + 106*k.
2*k*(k + 1)**3*(k + 159)/3
Factor 2*y**2/9 + 560*y/9.
2*y*(y + 280)/9
Factor m**3 + 6*m**2 - 31*m - 36.
(m - 4)*(m + 1)*(m + 9)
Factor 26*f**2/5 + 19*f/5 - 7/5.
(f + 1)*(26*f - 7)/5
Find z such that -4*z**5 + 150*z**4 - 1358*z**3 - 1106*z**2 + 3762*z - 1444 = 0.
-2, 1/2, 1, 19
Factor 2*o**4 + 42*o**3 + 204*o**2 + 376*o + 240.
2*(o + 2)**3*(o + 15)
Let 2*o**4 + 122*o**3 = 0. Calculate o.
-61, 0
Factor 4*v**3/3 - 60*v**2 + 900*v - 4500.
4*(v - 15)**3/3
Suppose y**3/7 + 260*y**2/7 - 261*y/7 = 0. Calculate y.
-261, 0, 1
Factor -3*q**2 + 285*q - 282.
-3*(q - 94)*(q - 1)
Let 5*k**3/4 - 3*k**2 - 71*k/4 + 15/2 = 0. Calculate k.
-3, 2/5, 5
Factor s**5/4 - 3*s**3 - 4*s**2.
s**2*(s - 4)*(s + 2)**2/4
Factor 4952198*c**5/5 - 1303210*c**4 + 685900*c**3 - 180500*c**2 + 23750*c - 1250.
2*(19*c - 5)**5/5
Let -51*o**2 - 411*o/2 - 6 = 0. What is o?
-4, -1/34
Find s such that -38*s**2/5 - 8*s - 2/5 = 0.
-1, -1/19
Let -2*j**5/7 - 12*j**4/7 - 2*j**3/7 + 48*j**2/7 - 32*j/7 = 0. Calculate j.
-4, 0, 1
Find d such that -10*d**5/11 + 414*d**4/11 - 2654*d**3/11 + 4786*d**2/11 - 3216*d/11 + 680/11 = 0.
2/5, 1, 5, 34
Factor 4*l**5 - 8*l**4 - 28*l**3 - 16*l**2.
4*l**2*(l - 4)*(l + 1)**2
Suppose -2*u**2 + 6*u + 8 = 0. Calculate u.
-1, 4
Let 4*c**3 + 28*c**2 + 56*c + 32 = 0. Calculate c.
-4, -2, -1
Find h, given that 15*h**4 - 1385*h**3 + 30795*h**2 + 54285*h + 22090 = 0.
-1, -2/3, 47
Factor 6*b**3 + 21*b**2 - 51*b - 30.
3*(b - 2)*(b + 5)*(2*b + 1)
Factor 2*l**2/3 + 5692*l/3 + 4049858/3.
2*(l + 1423)**2/3
Let -28*h**3 + 776*h**2 - 5264*h - 1568 = 0. What is h?
-2/7, 14
Factor -y**3