/7
Factor 5*u**4 + 450*u**3 + 9180*u**2 - 42770*u + 33135.
5*(u - 3)*(u - 1)*(u + 47)**2
Factor -375*c**3/7 + 21600*c**2/7 - 414720*c/7 + 2654208/7.
-3*(5*c - 96)**3/7
Find w such that 2*w**2/17 - 84*w/17 + 784/17 = 0.
14, 28
Factor 4*l**5 + 72*l**4 + 336*l**3 + 616*l**2 + 492*l + 144.
4*(l + 1)**3*(l + 3)*(l + 12)
Let -98*l**5 + 302*l**3 - 196*l**2 - 24*l + 16 = 0. What is l?
-2, -2/7, 2/7, 1
Factor -3*c**5/2 - 9*c**4 - 27*c**3/2 - 6*c**2.
-3*c**2*(c + 1)**2*(c + 4)/2
Determine v so that 4*v**2 + 192*v - 1792 = 0.
-56, 8
Solve -2*b**3/11 + 20*b**2/11 + 74*b/11 + 52/11 = 0 for b.
-2, -1, 13
Factor -3*t**4/5 - 174*t**3/5 - 2484*t**2/5 + 3174*t + 401511/5.
-3*(t - 11)*(t + 23)**3/5
Solve -2*a**3 + 42*a**2 + 2*a - 42 = 0 for a.
-1, 1, 21
Determine w so that w**4 + 35*w**3 + 67*w**2 + 33*w = 0.
-33, -1, 0
Determine j so that 4*j**5 + 12*j**4 - 12*j**3 - 44*j**2 - 24*j = 0.
-3, -1, 0, 2
What is x in 3*x**4/4 - 27*x**3/4 + 39*x**2/4 + 27*x/4 - 21/2 = 0?
-1, 1, 2, 7
What is x in -2*x**4/7 - 268*x**3/7 - 1304*x**2/7 - 1812*x/7 - 774/7 = 0?
-129, -3, -1
Factor -2*o**3/3 - 106*o**2/3 - 292*o/3 + 400/3.
-2*(o - 1)*(o + 4)*(o + 50)/3
Suppose -220*a**5 - 3120*a**4 - 10515*a**3 - 13855*a**2 - 7140*a - 900 = 0. What is a?
-10, -3/2, -1, -2/11
What is l in -2*l**5/5 - 38*l**4/5 - 26*l**3/5 + 174*l**2/5 - 108*l/5 = 0?
-18, -3, 0, 1
Factor 2*s**2/5 - 72*s/5.
2*s*(s - 36)/5
Let 2*p**3/15 + 2*p**2/5 + 2*p/5 + 2/15 = 0. Calculate p.
-1
Find d such that 35*d**3 + 1405*d**2 + 160*d - 1600 = 0.
-40, -8/7, 1
Factor -108*v**2 - 8*v.
-4*v*(27*v + 2)
Solve -15*q**3 - 20*q**2 + 45*q + 50 = 0 for q.
-2, -1, 5/3
Factor -c**5 - 3*c**4 - 2*c**3 + 2*c**2 + 3*c + 1.
-(c - 1)*(c + 1)**4
Factor -3*j**2 - 7302*j - 4443267.
-3*(j + 1217)**2
Find h such that 20*h**3/3 + 512*h**2/3 - 208*h/3 = 0.
-26, 0, 2/5
Let -b**3/2 + 52*b**2 + 105*b/2 = 0. What is b?
-1, 0, 105
Factor 2*c**3/3 + 6*c**2 + 12*c.
2*c*(c + 3)*(c + 6)/3
Factor 2*q**5 + 40*q**4 + 290*q**3 + 900*q**2 + 1080*q + 432.
2*(q + 1)**2*(q + 6)**3
Factor -x**4/5 - 52*x**3/5 - 798*x**2/5 - 980*x - 10633/5.
-(x + 7)**3*(x + 31)/5
Solve 2*t**3 - 10*t**2 + 6*t + 18 = 0.
-1, 3
Let u**3/5 + 231*u**2/5 - 140*u + 468/5 = 0. Calculate u.
-234, 1, 2
Suppose l**3/4 + 5*l**2/4 + 7*l/4 + 3/4 = 0. Calculate l.
-3, -1
Suppose i**4/9 - 11*i**3/9 + 4*i**2 - 4*i = 0. Calculate i.
0, 2, 3, 6
Find o such that o**5 + 14*o**4 + 69*o**3 + 144*o**2 + 108*o = 0.
-6, -3, -2, 0
Factor -4*q**2 + 76*q + 264.
-4*(q - 22)*(q + 3)
Solve -5*v**2 + 40*v + 100 = 0 for v.
-2, 10
Factor -5*p**2 - 120*p - 640.
-5*(p + 8)*(p + 16)
Factor -4*x**4/21 - 6*x**3 + 64*x**2/21.
-2*x**2*(x + 32)*(2*x - 1)/21
Find f such that 10*f**3 + 44*f**2 - 90*f + 36 = 0.
-6, 3/5, 1
Factor -7*l**5 - 16*l**4 - 6*l**3 + 8*l**2 + 5*l.
-l*(l + 1)**3*(7*l - 5)
Solve -3*l**2/4 + 69*l/2 = 0 for l.
0, 46
Find c, given that 8*c**5 + 244*c**4 - 416*c**3 - 1036*c**2 - 384*c = 0.
-32, -1, -1/2, 0, 3
Let 3*n**5 - 51*n**4 + 198*n**3 + 66*n**2 - 681*n - 495 = 0. What is n?
-1, 3, 5, 11
Solve 3*v**2 - 21*v + 18 = 0 for v.
1, 6
Suppose b**2 + 112*b + 3136 = 0. What is b?
-56
Factor -3*b**3 - 447*b**2 - 16425*b + 16875.
-3*(b - 1)*(b + 75)**2
Solve -p**4 + 44*p**3 + 93*p**2 - 44*p - 92 = 0 for p.
-2, -1, 1, 46
Factor -r**3 + 159*r**2 - 5544*r - 63504.
-(r - 84)**2*(r + 9)
Determine v so that -3*v**2/7 + 51*v/7 - 30 = 0.
7, 10
Factor -2*t**5 + 88*t**4 - 1256*t**3 + 5220*t**2 + 9450*t - 13500.
-2*(t - 15)**3*(t - 1)*(t + 2)
Find n such that 4*n**4/7 - 2*n**3/7 - 22*n**2/7 - 22*n/7 - 6/7 = 0.
-1, -1/2, 3
Suppose -20*g**5 - 416*g**4 - 1412*g**3 + 7608*g**2 - 9216*g + 3456 = 0. Calculate g.
-12, 1, 6/5
Factor -4*v**3 - 68*v**2.
-4*v**2*(v + 17)
Solve -42*q**5 + 171*q**4 - 222*q**3 + 99*q**2 - 6*q = 0.
0, 1/14, 1, 2
Solve h**5/5 + 14*h**4/5 + 33*h**3/5 - 4*h**2/5 - 44*h/5 = 0.
-11, -2, 0, 1
Solve -i**2/5 + i/5 = 0 for i.
0, 1
Solve -2*i**3/5 + 2*i**2/5 + 8*i = 0 for i.
-4, 0, 5
Factor u**4 - 4*u**3 + 5*u**2 - 2*u.
u*(u - 2)*(u - 1)**2
Suppose 104*f**3 + 62*f**2 - 12*f = 0. What is f?
-3/4, 0, 2/13
Factor 7*b**4/3 - 9*b**3 - 25*b**2/3 + 41*b + 6.
(b - 3)**2*(b + 2)*(7*b + 1)/3
Factor 3*o**3/8 + 21*o**2/8 - 387*o/8 - 405/8.
3*(o - 9)*(o + 1)*(o + 15)/8
Factor -673445*y**3 + 666105*y**2 + 7320*y + 20.
-5*(y - 1)*(367*y + 2)**2
Factor i**3 - 37*i**2 - 250*i - 344.
(i - 43)*(i + 2)*(i + 4)
Find o, given that 4*o**2 + 1720*o + 184900 = 0.
-215
What is n in -n**5/10 + 3*n**4/10 - n**3/5 = 0?
0, 1, 2
Let -5*o**3 + 770*o**2 - 30400*o + 57760 = 0. Calculate o.
2, 76
Let 2*h**2 - 344*h + 14792 = 0. What is h?
86
Factor -5*u**5 - 160*u**4 - 1280*u**3 - 4230*u**2 - 6075*u - 2970.
-5*(u + 1)*(u + 3)**3*(u + 22)
Factor -2*d**4 - 12*d**3 - 24*d**2 - 16*d.
-2*d*(d + 2)**3
Factor -4*q**3 - 312*q**2 + 316*q.
-4*q*(q - 1)*(q + 79)
What is h in -4*h**4 + 76*h**3 - 292*h**2 + 132*h + 504 = 0?
-1, 3, 14
Determine r, given that -2*r**3 + 12*r**2 + 54*r = 0.
-3, 0, 9
Find h such that 2*h**2/11 - 94*h/11 + 624/11 = 0.
8, 39
Factor -z**2 - 23*z + 24.
-(z - 1)*(z + 24)
Determine o, given that o**4/2 + 45*o**3/2 + 281*o**2/2 + 579*o/2 + 171 = 0.
-38, -3, -1
Let -3*k**5/7 - 36*k**4/7 + 729*k**3/7 - 3078*k**2/7 + 3888*k/7 = 0. What is k?
-24, 0, 3, 6
Factor 11*r**2 + 2*r - 13.
(r - 1)*(11*r + 13)
Let y**2/5 - 132*y/5 + 4356/5 = 0. Calculate y.
66
Factor 25*a**4 + 4490*a**3 + 268200*a**2 + 5292000*a - 2160000.
5*(a + 60)**3*(5*a - 2)
Find p such that -2*p**2/3 + 68*p - 1734 = 0.
51
Let -8*f**2/9 - 82*f/3 + 62/9 = 0. What is f?
-31, 1/4
Determine i so that -2*i**3 - 76*i**2 + 158*i - 80 = 0.
-40, 1
Find u, given that -4*u**5 - 44*u**4 + 100*u**3 - 52*u**2 = 0.
-13, 0, 1
Find y, given that 2*y**4/9 + 34*y**3/9 - 18*y**2 + 14*y = 0.
-21, 0, 1, 3
What is t in -t**3 + 5*t**2 - 7*t + 3 = 0?
1, 3
Factor 2*x**2 - 2.
2*(x - 1)*(x + 1)
Suppose 3*p**2/7 - 12*p/7 - 180/7 = 0. What is p?
-6, 10
Factor -2*v**3/3 + 2*v**2 + 92*v/3 + 48.
-2*(v - 9)*(v + 2)*(v + 4)/3
Suppose -9*g**3 + 645*g**2 + 222*g - 432 = 0. What is g?
-1, 2/3, 72
Find l, given that 3*l**2/5 + 786*l/5 + 51483/5 = 0.
-131
Factor -2*j**2/7 + 5916*j/7 - 4374882/7.
-2*(j - 1479)**2/7
Solve 2*f**2/3 + 256*f/3 - 262 = 0 for f.
-131, 3
Solve -5*m**3 + 2605*m**2 + 5*m - 2605 = 0.
-1, 1, 521
Factor 4*q**2/5 + 16056*q/5 + 16112196/5.
4*(q + 2007)**2/5
Factor 2*f**4/11 + 16*f**3/11 + 10*f**2/11 - 100*f/11.
2*f*(f - 2)*(f + 5)**2/11
Factor i**4 + 2*i**3.
i**3*(i + 2)
Solve 6*c**4/5 - 88*c**3/5 - 54*c**2/5 + 352*c/5 + 24 = 0.
-2, -1/3, 2, 15
Solve -2*f**3 + 4*f**2 + 362*f - 364 = 0 for f.
-13, 1, 14
Solve -g**5/3 - 64*g**4 + 193*g**3/3 = 0 for g.
-193, 0, 1
Suppose 2*y**4/13 - 24*y**3/13 - 56*y**2/13 = 0. What is y?
-2, 0, 14
Determine r so that 5*r**3 + 4925*r**2 + 1215240*r + 1210320 = 0.
-492, -1
Suppose -2*d**2/9 - 2*d/3 + 4 = 0. What is d?
-6, 3
Determine p so that p**3 + 102*p**2 + 2700*p + 5000 = 0.
-50, -2
Let -3*b**4 - 126*b**3 - 1839*b**2 - 10296*b - 14196 = 0. What is b?
-14, -13, -2
Suppose -2*w**5/11 - 4*w**4/11 + 4*w**3/11 + 8*w**2/11 - 2*w/11 - 4/11 = 0. Calculate w.
-2, -1, 1
Find o such that 2*o**4/3 - 454*o**3/3 + 8512*o**2 + 8664*o = 0.
-1, 0, 114
Factor r**3/5 - 9*r**2/5 - 21*r/5 - 11/5.
(r - 11)*(r + 1)**2/5
Determine o so that 2*o**4/13 - 24*o**3/13 + 22*o**2/13 = 0.
0, 1, 11
Let -36*a**3/13 + 34*a**2/13 + 74*a/13 + 4/13 = 0. What is a?
-1, -1/18, 2
Find x such that -2*x**4/15 - 34*x**3/3 + 356*x**2/5 - 2168*x/15 + 1456/15 = 0.
-91, 2
Factor 2*x**3 - 16*x**2 + 14*x.
2*x*(x - 7)*(x - 1)
Factor -2*s**5/7 + 40*s**4/7 - 300*s**3/7 + 1000*s**2/7 - 1250*s/7.
-2*s*(s - 5)**4/7
Solve -25*f**4/2 - 255*f**3 + 1625*f**2/2 + 1515*f + 460 = 0.
-23, -1, -2/5, 4
Determine m so that 3*m**3/2 + 153*m**2 + 4554*m + 31740 = 0.
-46, -10
Determine k so that k**3 + 31*k**2 + 224*k - 256 = 0.
-16, 1
Factor -16*n**4 + 14800*n**3 - 3429892*n**2 + 3418800*n - 853776.
-4*(n - 462)**2*(2*n - 1)**2
Determine h so that -3*h**3/7 - 9*h**2 - 432*h/7 - 960/7 = 0.
-8, -5
Factor t**2/6 + 113*t/6 - 58.
(t - 3)*(t + 116)/6
Factor j**2/4 - 5*j/2 + 25/4.
(j - 5)**2/4
Factor 2*o**2/3 - 56*o + 1176.
2*(o - 42)**2/3
Factor 5*f**2 - 80*f - 285.
5*(f - 19)*(f + 3)
Factor 147*p**3 + 598500*p**2 - 342036*p + 48864.
3*(p + 4072)*(7*p - 2)**2
Factor -2*g**2/3 - 22*g - 64/3.
-2*(g + 1)*(g + 32)/3
Let -4*a**2 - 3960*a + 7