*(i - 374)*(i - 1)/3
Find q, given that 5*q**3 + 3060*q**2 - 5*q - 3060 = 0.
-612, -1, 1
Suppose b**3 - 16*b**2 + 20*b + 400 = 0. What is b?
-4, 10
Determine z so that 135*z**4 + 141*z**3 - 129*z**2 - 141*z - 6 = 0.
-1, -2/45, 1
Factor 3*j**2 - 357*j - 360.
3*(j - 120)*(j + 1)
Factor -y**4/5 + 24*y**3/5 + 78*y**2/5 + 16*y + 27/5.
-(y - 27)*(y + 1)**3/5
Find u such that u**3/4 + 59*u**2/2 - 119*u/4 = 0.
-119, 0, 1
Let -2*z**2/7 + 8048*z/7 - 8096288/7 = 0. Calculate z.
2012
Factor -121*c**3/3 - 572*c**2/3 - 368*c/3 - 64/3.
-(c + 4)*(11*c + 4)**2/3
Factor q**3/3 + 43*q**2/3 + 83*q/3 + 41/3.
(q + 1)**2*(q + 41)/3
Let 3*n**3 - 33*n**2 - 75*n - 39 = 0. What is n?
-1, 13
Find f, given that -2*f**2 + 36*f + 230 = 0.
-5, 23
Determine d so that -d**4/3 + 37*d**3/9 - 94*d**2/9 + 28*d/9 + 8 = 0.
-2/3, 2, 9
Suppose a**2/2 + 85*a/2 + 767 = 0. Calculate a.
-59, -26
Factor 2*f**2/9 + 10*f/9 - 44/3.
2*(f - 6)*(f + 11)/9
Suppose -3*f**3/5 + 2*f**2 + 9*f/5 - 4/5 = 0. Calculate f.
-1, 1/3, 4
Let o**2 + 40*o - 41 = 0. What is o?
-41, 1
Suppose -20*c**2 - 784*c + 3268 = 0. Calculate c.
-43, 19/5
Solve 300*m**5 - 405*m**4 - 573*m**3 + 279*m**2 + 165*m + 18 = 0.
-1, -1/5, 3/4, 2
Factor 12*b**3/7 - 3771*b**2/7 + 42390*b - 73947/7.
3*(b - 157)**2*(4*b - 1)/7
Find z such that -z**3/3 + 2*z**2 - 3*z + 4/3 = 0.
1, 4
Factor 10*j**2 - 7795*j + 3895.
5*(j - 779)*(2*j - 1)
Solve -32*u**2 + 2032*u - 32258 = 0 for u.
127/4
Suppose 2*f**4/9 - 130*f**3/3 + 18008*f**2/9 + 32800*f/3 + 80000/9 = 0. What is f?
-4, -1, 100
Factor 2*c**2 - 1676*c/7 - 480/7.
2*(c - 120)*(7*c + 2)/7
Factor -5*n**2 - 900*n + 3680.
-5*(n - 4)*(n + 184)
Factor 10*g**2 + 125*g.
5*g*(2*g + 25)
Let -25*w**3 + 115*w**2 - 135*w + 45 = 0. Calculate w.
3/5, 1, 3
Factor 3*c**5/5 - 4821*c**4/5 + 1944057*c**3/5 - 1160655*c**2 + 5793648*c/5 - 1929612/5.
3*(c - 802)**2*(c - 1)**3/5
Determine r so that 36*r**4 + 188*r**3 + 348*r**2 + 276*r + 80 = 0.
-20/9, -1
Determine p so that p**2 - 1316*p + 432964 = 0.
658
Factor -9*g**5/8 + 2*g**4 + g**3/2.
-g**3*(g - 2)*(9*g + 2)/8
Find w such that 4*w**2 - 72*w + 180 = 0.
3, 15
Determine m so that 1323*m**5 + 315*m**4 - 8250*m**3 - 11970*m**2 - 5265*m - 729 = 0.
-9/7, -1/3, 3
Factor -2*o**2/7 - 44*o/7 - 6.
-2*(o + 1)*(o + 21)/7
Solve -x**2 - 15*x - 36 = 0.
-12, -3
Factor o**4/3 + 50*o**3/3 + 673*o**2/3 + 400*o + 192.
(o + 1)**2*(o + 24)**2/3
Factor -x**4/3 - 134*x**3/3 - 4621*x**2/3 - 2948*x - 1452.
-(x + 1)**2*(x + 66)**2/3
Factor -36*w**2/7 - 1240*w/7 - 544/7.
-4*(w + 34)*(9*w + 4)/7
Factor -2*q**2 + 408*q + 1664.
-2*(q - 208)*(q + 4)
Let -2*d**5 - 38*d**4 + 90*d**3 + 118*d**2 - 176*d - 168 = 0. What is d?
-21, -1, 2
Factor m**4/2 + 19*m**3/6 - 7*m**2 - 8*m/3.
m*(m - 2)*(m + 8)*(3*m + 1)/6
Solve 2*f**2 + 40*f + 200 = 0 for f.
-10
Find p such that 5*p**4/9 + 646*p**3/9 + 2361*p**2 + 24704*p/9 + 4096/9 = 0.
-64, -1, -1/5
Suppose 2*m**2/7 + 2740*m/7 - 2742/7 = 0. What is m?
-1371, 1
Find p, given that -2*p**5 - 13*p**4 + 7*p**3 + 99*p**2 + 135*p + 54 = 0.
-6, -3/2, -1, 3
Factor 867*h**2 - 1938*h + 1083.
3*(17*h - 19)**2
What is r in -3*r**3/5 - 147*r**2/5 + 6078*r/5 - 5928/5 = 0?
-76, 1, 26
Factor -3*j**2/8 - 12*j + 54.
-3*(j - 4)*(j + 36)/8
Factor 5*y**5 + 100*y**4 + 660*y**3 + 1600*y**2 + 1280*y.
5*y*(y + 2)**2*(y + 8)**2
Find j, given that -j**3/7 - 3*j**2 = 0.
-21, 0
Factor 2*a**2/9 + 26*a/9 + 44/9.
2*(a + 2)*(a + 11)/9
Factor 4*t**4 + 28*t**3 - 264*t**2 - 1728*t.
4*t*(t - 8)*(t + 6)*(t + 9)
Let q**4 - 9*q**3 - 10*q**2 = 0. What is q?
-1, 0, 10
Suppose -33*c**3/8 + 51*c**2/4 - 75*c/8 + 3/4 = 0. Calculate c.
1/11, 1, 2
Suppose -2*j**4/5 - 284*j**3/5 - 1584*j**2 - 81796*j/5 - 290158/5 = 0. Calculate j.
-109, -11
Factor 2*s**2 - 28*s + 90.
2*(s - 9)*(s - 5)
What is j in -36*j**3 + 224*j**2 - 48*j = 0?
0, 2/9, 6
Let -3*c**5/2 - 9*c**4/2 - 9*c**3/2 - 3*c**2/2 = 0. What is c?
-1, 0
Factor 2*v**4 + 120*v**3 + 2684*v**2 + 26520*v + 97682.
2*(v + 13)**2*(v + 17)**2
Determine c, given that 3*c**5 + 6*c**4 - 18*c**3 - 12*c**2 + 39*c - 18 = 0.
-3, -2, 1
Solve -5*f**3 - 195*f**2 - 540*f = 0.
-36, -3, 0
Find q, given that 2*q**5/3 - 34*q**4/3 + 52*q**3 - 28*q**2/3 - 670*q/3 - 150 = 0.
-1, 5, 9
Determine k, given that -3*k**4/2 + 12*k**3 - 45*k**2/2 = 0.
0, 3, 5
Factor 9*d**3 - 40701*d**2 - 27137*d - 4523.
(d - 4523)*(3*d + 1)**2
Solve 2*r**4/9 + 4*r**3 + 62*r**2/9 - 4*r - 64/9 = 0.
-16, -2, -1, 1
Factor -x**2/7 - 207*x - 1448/7.
-(x + 1)*(x + 1448)/7
Suppose 14*m**4 + 44*m**3 + 6*m**2 = 0. Calculate m.
-3, -1/7, 0
Suppose -2*j**5/7 - 8*j**4/7 - 6*j**3/7 + 8*j**2/7 + 8*j/7 = 0. Calculate j.
-2, -1, 0, 1
Factor 2*h**3/7 + 284*h**2/7 + 9176*h/7 - 65712/7.
2*(h - 6)*(h + 74)**2/7
What is b in -2*b**5/9 - 22*b**4/9 + 2*b**3/3 + 62*b**2/9 - 44*b/9 = 0?
-11, -2, 0, 1
Factor 2*k**3/5 - 16*k**2/5 + 24*k/5.
2*k*(k - 6)*(k - 2)/5
Solve 3*u**4 - 12*u**3 + 9*u**2 = 0.
0, 1, 3
Factor 6*w**3/11 - 288*w**2/11 + 822*w/11 - 540/11.
6*(w - 45)*(w - 2)*(w - 1)/11
Determine u, given that 3*u**3 + 6*u**2 - 24*u = 0.
-4, 0, 2
Factor 148600332*t**2/5 - 42228*t/5 + 3/5.
3*(7038*t - 1)**2/5
Factor -2*i**2 + 196*i - 194.
-2*(i - 97)*(i - 1)
Suppose -2*g**3/3 + 14*g**2 - 196*g/3 = 0. Calculate g.
0, 7, 14
Let -5*u**3 + 75*u**2 - 135*u + 65 = 0. What is u?
1, 13
Factor 2*i**4/13 - 6*i**3/13 - 8*i**2/13.
2*i**2*(i - 4)*(i + 1)/13
Factor 2*p**4/9 - 50*p**3/9 + 296*p**2/9 - 136*p/3.
2*p*(p - 17)*(p - 6)*(p - 2)/9
Determine a, given that -a**5 + 2*a**4 + 30*a**3 - 32*a**2 - 29*a + 30 = 0.
-5, -1, 1, 6
Factor 4*f**2 - 416*f + 10816.
4*(f - 52)**2
What is b in 2*b**4/7 + 76*b**3/7 + 794*b**2/7 + 1368*b/7 + 648/7 = 0?
-18, -1
Let -3*n**2 - 5*n - 2 = 0. What is n?
-1, -2/3
Find n such that -n**2 - 15*n - 36 = 0.
-12, -3
Let o**2/5 - 14*o/5 = 0. Calculate o.
0, 14
What is q in -2*q**4/3 + 10*q**3/3 - 10*q**2/3 - 10*q/3 + 4 = 0?
-1, 1, 2, 3
Factor 4*s**2 - 2576*s + 414736.
4*(s - 322)**2
Solve 2*w**2/5 + 26*w/5 + 24/5 = 0 for w.
-12, -1
Find w such that 35*w**3/3 + 116*w**2 + 285*w - 50/3 = 0.
-5, 2/35
Find x, given that -10*x**3 - 199*x**2 - 980*x + 100 = 0.
-10, 1/10
Factor -o**4/5 - 2*o**3/5 + o**2/5 + 2*o/5.
-o*(o - 1)*(o + 1)*(o + 2)/5
Factor -m**3/4 + 11*m**2/4 + 7*m/2 - 6.
-(m - 12)*(m - 1)*(m + 2)/4
Factor -5*s**4 - 45*s**3 - 90*s**2.
-5*s**2*(s + 3)*(s + 6)
Find b, given that 5*b**4 - 40*b**3 + 90*b**2 - 80*b + 25 = 0.
1, 5
Factor -g**2/4 + 4*g.
-g*(g - 16)/4
Factor 3*b**2/2 - 51*b/2 - 126.
3*(b - 21)*(b + 4)/2
Factor f**4 + 22*f**3 - 295*f**2 + 800*f.
f*(f - 5)**2*(f + 32)
What is p in p**3/3 - 480*p**2 + 230400*p - 36864000 = 0?
480
Determine x, given that -4*x**5 + 52*x**4 - 132*x**3 + 124*x**2 - 40*x = 0.
0, 1, 10
Factor -5*h**3/2 + 65*h**2 - 455*h/2 + 165.
-5*(h - 22)*(h - 3)*(h - 1)/2
Find r such that -4*r**5 - 48*r**4 - 76*r**3 + 336*r**2 + 368*r - 576 = 0.
-9, -4, -2, 1, 2
Determine j, given that 4*j**3 - 566*j**2 + 836*j + 560 = 0.
-1/2, 2, 140
Solve -5*y**5 - 53*y**4 - 113*y**3 - 71*y**2 + 10*y + 16 = 0.
-8, -1, 2/5
Determine i, given that -1815*i**4/2 - 30789*i**3/2 - 61410*i**2 - 20826*i - 1848 = 0.
-11, -28/5, -2/11
Determine k so that 2*k**2/13 + 22*k/13 + 48/13 = 0.
-8, -3
Let m**5/3 - m**4 - 4*m**3/3 + 16*m**2/3 - 16/3 = 0. Calculate m.
-2, -1, 2
Suppose -5*k**4 - 90*k**3 - 540*k**2 - 1080*k = 0. Calculate k.
-6, 0
Factor 5*g**2/2 + 315*g/4 - 790.
5*(g - 8)*(2*g + 79)/4
Factor w**3/8 - 210*w**2 + 117600*w - 21952000.
(w - 560)**3/8
Factor -2*i**2/9 - 122*i/9 - 236/9.
-2*(i + 2)*(i + 59)/9
Factor g**2/4 - 67*g/4 + 561/2.
(g - 34)*(g - 33)/4
Factor 2*f**2/7 - 5476*f/7 + 3748322/7.
2*(f - 1369)**2/7
Find d, given that -d**4/8 + 29*d**3/4 - 841*d**2/8 = 0.
0, 29
Solve 2*q**4/9 + 2*q**3/3 - 2*q**2/3 - 14*q/9 + 4/3 = 0 for q.
-3, -2, 1
Suppose -t**5/5 + t**4/5 + 22*t**3 - 326*t**2/5 - 973*t/5 - 539/5 = 0. Calculate t.
-11, -1, 7
Solve 4*k**3 - 164*k**2 - 1792*k + 94208 = 0 for k.
-23, 32
Suppose -11*p**3/6 - 277*p**2/6 - 157*p/3 - 8 = 0. Calculate p.
-24, -1, -2/11
Factor -2*g**3/9 + 10*g**2/9 + 4*g/3.
-2*g*(g - 6)*(g + 1)/9
Suppose 8*r**5/7 - 26*r**4/7 + 16*r**3/7 + 2*r**2 - 12*r/7 = 0. Calculate r.
-3/4, 0, 1, 2
Factor 8*h**4 + 214*h**3 + 154*h**2 - 52*h.
2*h*(h + 1)*(h + 26)*(4*h - 1)
Determine u, given that -15*u**5 - 40*u**4 + 865*u**3 - 2290*u**2 + 780*u + 1800 = 0.
-10, -2/3, 2, 3
Determine v so th