q**3 + 68*q**2 - 124*q + 24 = 0. Calculate q.
-1, 1/4, 1/2, 6
Factor 4*j**4 - 20*j**3 + 28*j**2 - 12*j.
4*j*(j - 3)*(j - 1)**2
Factor n**3/4 + n**2/4 - n/2.
n*(n - 1)*(n + 2)/4
Find k, given that 20*k**3 - 305*k**2/4 + 65*k + 15 = 0.
-3/16, 2
Factor 4*l**2/5 + 4576*l/5 - 916.
4*(l - 1)*(l + 1145)/5
Determine d, given that -4*d**4 + 26*d**3 + 82*d**2 + 70*d + 18 = 0.
-1, -1/2, 9
Factor -4*k**2 + 10620*k + 10624.
-4*(k - 2656)*(k + 1)
What is n in -4*n**5 + 40*n**4 + 100*n**3 - 40*n**2 - 96*n = 0?
-2, -1, 0, 1, 12
Factor -2*c**3/5 + 64*c**2/5 - 442*c/5 - 1156/5.
-2*(c - 17)**2*(c + 2)/5
Factor -4*p**5/7 - 11*p**4/7 - 9*p**3/7 - p**2/7 + p/7.
-p*(p + 1)**3*(4*p - 1)/7
Solve 3*z**4/5 + 42*z**3/5 + 159*z**2/5 + 24*z = 0 for z.
-8, -5, -1, 0
Factor -r**4 - 2*r**3 + 4*r**2 + 8*r.
-r*(r - 2)*(r + 2)**2
Factor -3*k**2 + 111*k - 858.
-3*(k - 26)*(k - 11)
Factor -u**4 + 12*u**3 + 2346*u**2 + 49708*u + 309519.
-(u - 63)*(u + 17)**3
Determine n, given that 4*n**2/7 - 32*n/7 + 4 = 0.
1, 7
Suppose -4*p**5 - 164*p**4 - 1320*p**3 = 0. Calculate p.
-30, -11, 0
Let -w**5/3 + 7*w**4/3 + 3*w**3 - 7*w**2/3 - 8*w/3 = 0. What is w?
-1, 0, 1, 8
Suppose 2*u**3/13 - 72*u**2/13 - 2*u/13 + 72/13 = 0. What is u?
-1, 1, 36
Find h, given that -21*h**5 + 132*h**4 - 288*h**3 + 240*h**2 - 48*h = 0.
0, 2/7, 2
Factor f**2/2 + 459*f + 210681/2.
(f + 459)**2/2
Find h such that -4*h**5 - 128*h**4 + 440*h**3 + 688*h**2 - 436*h - 560 = 0.
-35, -1, 1, 4
Solve -5*k**4 - 475*k**3 - 11515*k**2 - 11045*k = 0 for k.
-47, -1, 0
Suppose 3*h**2 + 135*h + 378 = 0. Calculate h.
-42, -3
Solve -3*j**4/7 + 366*j**3/7 - 720*j**2/7 = 0 for j.
0, 2, 120
Factor o**4 - 64*o**3 + 887*o**2 + 4420*o + 3468.
(o - 34)**2*(o + 1)*(o + 3)
Factor k**3 + 11*k**2 - 26*k.
k*(k - 2)*(k + 13)
Factor -4*p**4/5 - 15104*p**3/5 - 3020*p**2.
-4*p**2*(p + 1)*(p + 3775)/5
Factor 5*g**3 - 10*g**2 - 5*g + 10.
5*(g - 2)*(g - 1)*(g + 1)
Determine t so that -2*t**3 + 460*t**2/3 - 746*t/3 - 100 = 0.
-1/3, 2, 75
What is q in -2*q**5 + 10*q**4 + 94*q**3 - 714*q**2 + 1476*q - 864 = 0?
-8, 1, 3, 6
Factor -h**4/7 + 5*h**3/7 + 102*h**2/7 + 320*h/7 + 32.
-(h - 14)*(h + 1)*(h + 4)**2/7
Factor 16*p**4 + 116*p**3 + 124*p**2 + 24*p.
4*p*(p + 1)*(p + 6)*(4*p + 1)
Let -2*f**4/13 + 112*f**3/13 - 176*f**2 + 20160*f/13 - 64800/13 = 0. What is f?
10, 18
Let -4*n**3/9 + 686*n**2/3 - 114*n - 1028/9 = 0. Calculate n.
-1/2, 1, 514
Factor 2*y**4 + 28*y**3 + 26*y**2.
2*y**2*(y + 1)*(y + 13)
Suppose -a**3 + 43*a**2 - 83*a + 41 = 0. Calculate a.
1, 41
Factor 2*i**3/13 + 804*i**2/13 + 107736*i/13 + 4812208/13.
2*(i + 134)**3/13
Determine z so that -57*z**4/8 + 63*z**3/8 + 111*z**2/4 - 63*z/2 + 3 = 0.
-2, 2/19, 1, 2
Determine o, given that 4*o**4 + 800*o**3 + 38368*o**2 - 163200*o + 166464 = 0.
-102, 2
Factor -5*p**3/4 + 5*p**2/2 - 5*p/4.
-5*p*(p - 1)**2/4
Let 25*o**2/3 + 5*o = 0. Calculate o.
-3/5, 0
Let g**4/5 + 56*g**3/5 + 1176*g**2/5 + 10976*g/5 + 38416/5 = 0. What is g?
-14
Let -k**2/6 + 157*k/6 - 102 = 0. What is k?
4, 153
Determine l, given that 5*l**3/2 + 175*l**2 + 685*l/2 + 170 = 0.
-68, -1
Factor 8*h**4 - 1704*h**3 - 5166*h**2 - 3888*h.
2*h*(h - 216)*(2*h + 3)**2
Let -2*d**4 - 60*d**3 - 506*d**2 - 840*d - 392 = 0. Calculate d.
-14, -1
Let 267*b**2/4 - 265*b/4 - 1/2 = 0. Calculate b.
-2/267, 1
Factor 5*f**3 - 350*f**2 + 1320*f.
5*f*(f - 66)*(f - 4)
Suppose -2*q**3/11 - 40*q**2/11 - 26*q/11 + 228/11 = 0. Calculate q.
-19, -3, 2
Determine v so that -v**3/4 + 33*v**2/4 + 69*v/4 + 35/4 = 0.
-1, 35
Suppose -5*q**4 + 310*q**3 - 4805*q**2 = 0. What is q?
0, 31
Suppose 9*q**3/8 - 11769*q**2/8 + 7843*q/8 - 1307/8 = 0. Calculate q.
1/3, 1307
Let i**4 - 10*i**3 + 36*i**2 - 56*i + 32 = 0. Calculate i.
2, 4
Let z**3/2 + 12*z**2 + 72*z = 0. What is z?
-12, 0
Factor k**3/7 - 32*k**2/7 - 33*k/7.
k*(k - 33)*(k + 1)/7
Factor -61250*d**3/9 - 41300*d**2/3 - 312*d - 16/9.
-2*(d + 2)*(175*d + 2)**2/9
Find p such that p**3 - 4230*p**2 + 5964300*p - 2803221000 = 0.
1410
Determine j so that 2*j**2/7 + 142*j/7 = 0.
-71, 0
Suppose -34*w**3 + 23*w**2 + 20*w = 0. Calculate w.
-1/2, 0, 20/17
Determine f, given that 25*f**4 + 10*f**3 - 100*f**2 - 40*f = 0.
-2, -2/5, 0, 2
Factor -j**2/6 + 7*j/3 - 20/3.
-(j - 10)*(j - 4)/6
Let -i**4/7 + 1216*i**3/7 - 370878*i**2/7 + 738112*i/7 - 368449/7 = 0. Calculate i.
1, 607
Factor 4*y**4 - 40*y**3 + 32*y**2 + 40*y - 36.
4*(y - 9)*(y - 1)**2*(y + 1)
Solve 3*d**3 + 18*d**2 - 21*d = 0.
-7, 0, 1
Factor n**2/2 - n/2 - 6.
(n - 4)*(n + 3)/2
Factor 5*t**5 - 50*t**4 + 160*t**3 - 160*t**2.
5*t**2*(t - 4)**2*(t - 2)
Factor 2*m**3 + 86*m**2 + 320*m + 312.
2*(m + 2)**2*(m + 39)
Find t such that -2*t**2/7 - 1216*t - 1293824 = 0.
-2128
Let 3*v**4 + 129*v**3 - 135*v**2 - 129*v + 132 = 0. Calculate v.
-44, -1, 1
Suppose 3*n**2 + 402*n + 13467 = 0. What is n?
-67
Determine x so that -5*x**3 - 1070*x**2 - 53900*x + 363000 = 0.
-110, 6
Factor -2*w**5/9 - 44*w**4/3 - 3196*w**3/9 - 32368*w**2/9 - 9826*w + 334084/9.
-2*(w - 2)*(w + 17)**4/9
Suppose 3*f**4/4 - 231*f**3/4 + 2277*f**2/2 - 969*f - 2166 = 0. Calculate f.
-1, 2, 38
Determine r so that -2*r**5/11 - 2*r**4/11 + 18*r**3/11 + 26*r**2/11 - 16*r/11 - 24/11 = 0.
-2, -1, 1, 3
Factor 3*r**4/4 - 87*r**3/4 + 585*r**2/4 + 675*r/4.
3*r*(r - 15)**2*(r + 1)/4
Suppose -5*h**5 - 40*h**4 - 90*h**3 - 20*h**2 + 95*h + 60 = 0. Calculate h.
-4, -3, -1, 1
Factor 5*l**3/2 + 25*l**2 - 1745*l/2 + 1625.
5*(l - 13)*(l - 2)*(l + 25)/2
Factor -3*i**2 + 306*i - 7803.
-3*(i - 51)**2
Determine i, given that 30*i**3 - 115*i**2 - 25*i + 20 = 0.
-1/2, 1/3, 4
Find r, given that 2*r**3/3 - 108*r**2/5 - 202*r/15 + 44/5 = 0.
-1, 2/5, 33
Solve o**2 + 11*o + 18 = 0.
-9, -2
Factor 2*i**2/9 + 206*i/9.
2*i*(i + 103)/9
Factor t**2/3 + 335*t/3.
t*(t + 335)/3
Determine r so that -45*r**4 - 55*r**3 + 170*r**2 + 220*r + 40 = 0.
-2, -1, -2/9, 2
Solve -44*f**4/7 + 40*f**3/7 + 4*f**2/7 = 0 for f.
-1/11, 0, 1
Factor 3*g**2 - 376*g - 252.
(g - 126)*(3*g + 2)
Determine b so that 4*b**5 + 16*b**4 - 48*b**3 = 0.
-6, 0, 2
Determine z so that 2*z**2 - 5924*z + 4386722 = 0.
1481
Factor -8*y**2/7 + 60*y/7 - 72/7.
-4*(y - 6)*(2*y - 3)/7
Let -2*k**4/7 + 38*k**3/7 - 184*k**2/7 + 160*k/7 + 384/7 = 0. What is k?
-1, 4, 12
Factor l**3/2 + 64*l**2 + 4661*l/2 + 17405.
(l + 10)*(l + 59)**2/2
Factor -2*j**2/9 - 482*j/9 + 108.
-2*(j - 2)*(j + 243)/9
Factor 4*h**5 + 8*h**4 - 48*h**3 + 56*h**2 - 20*h.
4*h*(h - 1)**3*(h + 5)
What is v in 4*v**3/3 - 8*v**2 - 100*v/3 - 24 = 0?
-2, -1, 9
Solve -192*j**5 - 432*j**4 + 21*j**3 + 207*j**2 - 54*j = 0.
-2, -1, 0, 3/8
Factor -2*d**2/15 + 76*d/15 - 14.
-2*(d - 35)*(d - 3)/15
Factor -5*d**5 - 245*d**4.
-5*d**4*(d + 49)
Find p, given that -p**2/4 + p + 5/4 = 0.
-1, 5
Solve -l**3 + l**2 + 10*l + 8 = 0.
-2, -1, 4
Determine q, given that -3*q**3 - 1176*q**2 - 115248*q = 0.
-196, 0
Factor 4*w**4 + 288*w**3 + 564*w**2 + 280*w.
4*w*(w + 1)**2*(w + 70)
Factor -841*r**4 - 4292*r**3 - 7332*r**2 - 4736*r - 1024.
-(r + 2)**2*(29*r + 16)**2
Determine p, given that -3*p**2 + 33*p - 30 = 0.
1, 10
Let 69*n**5 - 408*n**4 - 657*n**3 + 912*n**2 + 84*n = 0. Calculate n.
-2, -2/23, 0, 1, 7
Factor 3*r**3 - 18*r**2 - 75*r - 54.
3*(r - 9)*(r + 1)*(r + 2)
Factor -k**2 - 396*k - 1568.
-(k + 4)*(k + 392)
Factor -10*k**3/7 - 6*k**2/7 + 24*k/7 - 8/7.
-2*(k - 1)*(k + 2)*(5*k - 2)/7
Factor -k**5 + 49*k**4 - 624*k**3 + 576*k**2.
-k**2*(k - 24)**2*(k - 1)
Factor -3*o**4/4 - 36*o**3 - 207*o**2/2 - 102*o - 135/4.
-3*(o + 1)**3*(o + 45)/4
Find z, given that z**4/5 + 9*z**3/5 - 11*z**2/5 - 9*z/5 + 2 = 0.
-10, -1, 1
What is u in 3*u**3 + 2604*u**2 - 3*u - 2604 = 0?
-868, -1, 1
Determine u, given that -u**3/8 + 3*u**2/4 - 11*u/8 + 3/4 = 0.
1, 2, 3
Solve v**2/2 + 9*v/2 - 5 = 0.
-10, 1
Factor w**5 - 6*w**4 - 15*w**3 + 100*w**2.
w**2*(w - 5)**2*(w + 4)
Suppose 3*v**5/4 + 147*v**4/4 + 567*v**3/2 - 717*v**2/2 - 1137*v/4 + 1287/4 = 0. What is v?
-39, -11, -1, 1
Find i such that -4*i**3 - 4*i**2 + 32*i + 48 = 0.
-2, 3
Solve 2*q**2/15 - 14032*q/15 + 24612128/15 = 0 for q.
3508
Find z such that 16*z**4/5 + 5208*z**3/5 - 13103*z**2/5 + 5574*z/5 - 656/5 = 0.
-328, 1/4, 2
Let -x**3 - 56*x**2 + 363*x - 558 = 0. What is x?
-62, 3
Solve 14*g**2/5 + 800*g - 1144/5 = 0 for g.
-286, 2/7
Suppose 2*m**4 - 764*m**3 + 79514*m**2 - 1251432*m + 5366088 = 0. What is m?
9, 182
Suppose -15*i**2/7 