5*q - 1330 = 0. Calculate q.
-1, 1, 266
Determine z, given that -z**2/7 + 334*z/7 - 333/7 = 0.
1, 333
Factor -5*a**2 + 100*a - 180.
-5*(a - 18)*(a - 2)
Solve -a**5 + 13*a**3 - 16*a**2 - 12*a + 16 = 0 for a.
-4, -1, 1, 2
Factor 24*h**5 - 44*h**4 + 16*h**3 + 4*h**2.
4*h**2*(h - 1)**2*(6*h + 1)
Factor x**5/3 - 12*x**4 + 163*x**3 - 3070*x**2/3 + 2900*x - 3000.
(x - 10)**3*(x - 3)**2/3
Suppose -20*n**4 + 28*n**3 + 12*n**2 - 28*n + 8 = 0. Calculate n.
-1, 2/5, 1
Factor -10*m**3/3 + 15*m**2 + 25*m/3.
-5*m*(m - 5)*(2*m + 1)/3
Factor 2*r**2/7 + 6764*r/7 + 966.
2*(r + 1)*(r + 3381)/7
Find n such that -24389*n**5/5 - 43732*n**4/5 - 2929*n**3 + 4358*n**2/5 - 332*n/5 + 8/5 = 0.
-1, 2/29
Let -o**3/3 + 26*o**2/3 - 25*o/3 = 0. What is o?
0, 1, 25
Factor -2*g**5 + 2*g**4 + 66*g**3 + 126*g**2.
-2*g**2*(g - 7)*(g + 3)**2
Factor -p**3 - 6*p**2 + 16*p.
-p*(p - 2)*(p + 8)
Solve 2*b**3/3 + 274*b**2 + 2452*b/3 + 544 = 0 for b.
-408, -2, -1
Let a**5/7 - 3*a**4 + 18*a**3/7 + 40*a**2/7 = 0. What is a?
-1, 0, 2, 20
Factor -r**5 + 2*r**4 + r**3 - 2*r**2.
-r**2*(r - 2)*(r - 1)*(r + 1)
Solve -4*d**5 + 8*d**4 + 112*d**3 - 32*d**2 - 384*d = 0 for d.
-4, -2, 0, 2, 6
Solve a**4/2 - 18*a**3 - 77*a**2/2 + 18*a + 38 = 0 for a.
-2, -1, 1, 38
Suppose -5*r**2 - 1435*r = 0. What is r?
-287, 0
Find h, given that h**4/4 - 41*h**3 + 4743*h**2/2 - 54621*h + 1459161/4 = 0.
11, 51
Factor -3*s**3/5 + 381*s**2/5 - 753*s/5 + 75.
-3*(s - 125)*(s - 1)**2/5
Factor -2*c**2 + 570*c + 572.
-2*(c - 286)*(c + 1)
Factor h**5 - 193*h**4 + 9407*h**3 - 9023*h**2 - 9408*h + 9216.
(h - 96)**2*(h - 1)**2*(h + 1)
Factor 4*g**2/7 + 776*g/7 + 5952/7.
4*(g + 8)*(g + 186)/7
Factor i**5/3 - 2*i**4/3 - 62*i**3/3 - 164*i**2/3 - 155*i/3 - 50/3.
(i - 10)*(i + 1)**3*(i + 5)/3
Find d, given that -3*d**2/4 + 3/4 = 0.
-1, 1
Factor 3*w**2 - 45*w + 42.
3*(w - 14)*(w - 1)
Determine w so that 2*w**2/15 - 26*w/15 + 44/15 = 0.
2, 11
Let -o**2 + 290*o - 21025 = 0. Calculate o.
145
Factor 3*y**2 + 165*y - 1098.
3*(y - 6)*(y + 61)
Determine t so that 4*t**2 + 12944*t + 10471696 = 0.
-1618
Find f, given that 8*f**3/9 + 418*f**2/9 - 320*f/9 - 106/9 = 0.
-53, -1/4, 1
Solve 5*u**2 + 495*u - 500 = 0.
-100, 1
Factor -4*d**2 + 3324*d - 6632.
-4*(d - 829)*(d - 2)
Factor -2*t**3 - 38*t**2/3 - 8*t/3 + 8.
-2*(t + 1)*(t + 6)*(3*t - 2)/3
Factor w**5 - 4*w**4 + 3*w**3.
w**3*(w - 3)*(w - 1)
Suppose 2*l**2/3 + 6*l - 20/3 = 0. Calculate l.
-10, 1
Factor 4*l**2 + 760*l - 9696.
4*(l - 12)*(l + 202)
Let 2*u**4/15 + 14*u**3/15 - 26*u**2/5 - 38*u/3 - 20/3 = 0. Calculate u.
-10, -1, 5
Find w, given that 3*w**5/5 + 3*w**4/5 - 18*w**3/5 - 12*w**2/5 + 24*w/5 = 0.
-2, 0, 1, 2
Factor k**4 + 323*k**3 + 25920*k**2 - 26244*k.
k*(k - 1)*(k + 162)**2
Factor p**5 + 116*p**4 + 3245*p**3 - 6962*p**2.
p**2*(p - 2)*(p + 59)**2
Factor -3*y**3/4 + 21*y**2/2 - 33*y + 30.
-3*(y - 10)*(y - 2)**2/4
Let 4*c**5 - 4*c**4 - 372*c**3 + 452*c**2 + 5824*c + 7056 = 0. Calculate c.
-9, -2, 7
Suppose 3*t**5 - 16*t**4 - 40*t**3 + 30*t**2 + 37*t - 14 = 0. What is t?
-2, -1, 1/3, 1, 7
Factor 2*n**2 - 524*n - 526.
2*(n - 263)*(n + 1)
Factor -y**3/3 + 8*y**2/3 + 11*y/3 - 6.
-(y - 9)*(y - 1)*(y + 2)/3
Find v such that -405*v**4 + 1440*v**3 + 700*v**2 + 80*v = 0.
-2/9, 0, 4
Find r such that -25*r**2 + 6680*r - 1335 = 0.
1/5, 267
Factor -4*s**3 - 60*s**2 - 56*s.
-4*s*(s + 1)*(s + 14)
Factor 2*i**2/9 - 190*i/9 + 728/9.
2*(i - 91)*(i - 4)/9
Factor -9*q**2/4 - 26*q + 12.
-(q + 12)*(9*q - 4)/4
Factor 4*i**2/7 + 116*i - 3312/7.
4*(i - 4)*(i + 207)/7
Suppose 2*u**4/7 - 50*u**3/7 + 370*u**2/7 - 790*u/7 + 468/7 = 0. What is u?
1, 2, 9, 13
Factor 5*f**2 + 55*f + 50.
5*(f + 1)*(f + 10)
Factor k**5 + 6*k**4 + 5*k**3.
k**3*(k + 1)*(k + 5)
Solve -2*q**2/5 - 82*q/5 + 1144/5 = 0 for q.
-52, 11
Let -5*k**4 + 17050*k**3 - 19374480*k**2 + 7330000230*k + 7349391765 = 0. Calculate k.
-1, 1137
Solve 2*r**5/3 + 26*r**4/9 + 8*r**3/9 = 0 for r.
-4, -1/3, 0
Factor 4*t**3/7 - 368*t**2/7 - 4*t/7 + 368/7.
4*(t - 92)*(t - 1)*(t + 1)/7
Factor -4*o**2 + 428*o - 424.
-4*(o - 106)*(o - 1)
What is u in 2*u**2 - 76*u + 722 = 0?
19
Factor -2*n**2/3 + 2*n + 12.
-2*(n - 6)*(n + 3)/3
Let -2*r**2/11 + 226*r/11 = 0. Calculate r.
0, 113
Factor 2*m**2/13 - 1590*m/13 - 1592/13.
2*(m - 796)*(m + 1)/13
Find v such that -v**2 - 114*v - 440 = 0.
-110, -4
Find y such that -4*y**3/3 + 34*y**2/3 + 578*y/3 = 0.
-17/2, 0, 17
Find u, given that -3*u**2 - 222*u + 225 = 0.
-75, 1
Factor -t**2/9 - 1427*t/9 + 2858/9.
-(t - 2)*(t + 1429)/9
Determine a, given that -a**4/2 + 3*a**3/2 + 32*a**2 + 30*a = 0.
-6, -1, 0, 10
Factor 7*t**4/4 + 23*t**3/4 + 5*t**2 + t.
t*(t + 1)*(t + 2)*(7*t + 2)/4
What is q in 3*q**4 + 168*q**3 + 3078*q**2 + 17328*q - 20577 = 0?
-19, 1
Determine j so that -j**3/3 + 2*j**2 + 55*j/3 = 0.
-5, 0, 11
Let -3*v**3/4 + 9*v**2 + 39*v/4 = 0. What is v?
-1, 0, 13
Find o such that 2*o**5/7 - 2*o**4/7 - 16*o**3/7 + 24*o**2/7 = 0.
-3, 0, 2
Solve 4*r**3 - 76*r**2 - 4*r + 76 = 0.
-1, 1, 19
Factor -2*n**3/9 + 178*n**2/9 - 4048*n/9 + 3872/9.
-2*(n - 44)**2*(n - 1)/9
Solve 2*c**2/3 - 24*c = 0 for c.
0, 36
Let 6*m**3/5 - 172*m**2/15 + 182*m/5 - 192/5 = 0. Calculate m.
3, 32/9
Find g such that 3*g**2/8 - 147*g/2 + 7203/2 = 0.
98
Find r such that -4*r**3/3 + 28*r**2/9 + 88*r/9 - 32/9 = 0.
-2, 1/3, 4
Solve r**4/7 - 6*r**3/7 - r**2/7 + 6*r/7 = 0 for r.
-1, 0, 1, 6
Factor 4*m**2/7 - 40*m/7 - 96/7.
4*(m - 12)*(m + 2)/7
Factor -t**2/3 + 834*t - 521667.
-(t - 1251)**2/3
Factor 5*r**4 - 100*r**3 - 5*r**2 + 100*r.
5*r*(r - 20)*(r - 1)*(r + 1)
What is b in -4*b**2 - 4*b + 48 = 0?
-4, 3
Suppose -2*i**2/9 - 1706*i/9 + 1708/9 = 0. Calculate i.
-854, 1
Determine h, given that h**2/3 + 100*h + 299/3 = 0.
-299, -1
Determine n so that -4*n**5 - 622*n**4 - 24020*n**3 + 12790*n**2 + 24024*n - 12168 = 0.
-78, -1, 1/2, 1
Factor 4*g**3/7 + 552*g**2/7 - 3484*g/7 - 576.
4*(g - 7)*(g + 1)*(g + 144)/7
Factor 4*c**3 + 32*c**2 - 620*c + 1800.
4*(c - 5)**2*(c + 18)
Factor -x**4 - 51*x**3 - 720*x**2 - 1728*x.
-x*(x + 3)*(x + 24)**2
Suppose -35*m**4 + 165*m**3 - 195*m**2 + 35*m + 30 = 0. What is m?
-2/7, 1, 3
What is k in k**4 + 38*k**3 + 528*k**2 + 3146*k + 6655 = 0?
-11, -5
Solve -4*f**3 + 1208*f**2 - 2404*f + 1200 = 0.
1, 300
Suppose 2*g**5/11 + 2*g**4 - 92*g**3/11 - 1156*g**2/11 + 90*g/11 + 1134/11 = 0. Calculate g.
-9, -1, 1, 7
Solve 4*p**2 + 424*p - 1760 = 0.
-110, 4
Factor -5*z**3 + 30*z**2.
-5*z**2*(z - 6)
Determine q so that 4*q**4 - 248*q**3 + 720*q**2 - 712*q + 236 = 0.
1, 59
Suppose m**5/11 - 5*m**4/11 - 17*m**3/11 + 125*m**2/11 - 184*m/11 + 80/11 = 0. Calculate m.
-5, 1, 4
Factor 2*a**3/3 + 4*a**2/3 - 2*a/3 - 4/3.
2*(a - 1)*(a + 1)*(a + 2)/3
Determine q so that -14*q**4/15 - 178*q**3/15 - 132*q**2/5 - 152*q/15 + 16/3 = 0.
-10, -2, -1, 2/7
Determine u so that -3*u**5 + 192*u**3 + 486*u**2 - 189*u - 486 = 0.
-6, -3, -1, 1, 9
Factor -j**5/7 + 5*j**4/7 - 6*j**3/7 - 4*j**2/7 + 8*j/7.
-j*(j - 2)**3*(j + 1)/7
Factor 4*t**5 + 804*t**4 + 53868*t**3 + 1203052*t**2.
4*t**2*(t + 67)**3
Factor -5*j**4 - 20*j**3 + 50*j**2 + 140*j + 75.
-5*(j - 3)*(j + 1)**2*(j + 5)
Factor -12*f**2 - 33*f + 9.
-3*(f + 3)*(4*f - 1)
Let -k**3 + 2*k**2 + 3*k = 0. Calculate k.
-1, 0, 3
Factor -c**2 - 491*c - 978.
-(c + 2)*(c + 489)
Solve p**4/5 - 8*p**3/5 - 13*p**2/5 + 32*p/5 + 36/5 = 0 for p.
-2, -1, 2, 9
Find k such that -2*k**3 - 482*k**2 - 28304*k + 89304 = 0.
-122, 3
Determine g so that -3*g**2/2 - 47*g/2 + 8 = 0.
-16, 1/3
Solve 2*l**3/11 - 158*l**2/11 + 2494*l/11 + 25886/11 = 0 for l.
-7, 43
Let 2*t**3/15 + 34*t**2/15 + 32*t/15 = 0. What is t?
-16, -1, 0
Factor -d**2/7 + 2347*d/7.
-d*(d - 2347)/7
Find i, given that -2*i**4/3 + 37*i**3/2 - 371*i**2/3 - 98*i + 1372/3 = 0.
-2, 7/4, 14
Let 21*y**3 + 185*y**2/3 - 16*y/3 - 4 = 0. What is y?
-3, -2/9, 2/7
Factor -j**4 - 19*j**3 - 78*j**2 - 116*j - 56.
-(j + 1)*(j + 2)**2*(j + 14)
Factor -3*z**4 + 51*z**3 + 192*z**2 - 240*z.
-3*z*(z - 20)*(z - 1)*(z + 4)
What is z in -9*z**3 - 111*z**2 + 81*z + 39 = 0?
-13, -1/3, 1
Suppose -2*z**5 - 22*z**4 - 32*z**3 + 152*z**2 + 160*z - 256 = 0. What is z?
-8, -4, -2, 1, 2
Find j such that -15*j**4/2 + 99*j**3/2 - 9*j**2 - 102*j - 36 = 0.
-1, -2/5, 2, 6
Factor -c**3/5 + 4141*c**2/5 - 4284899*c/5 - 4289041/5.
-(c - 2071)**2*(c + 1)/5
Determine u so that 3*u**4/5 - 3*u**3/5 = 0.
0, 1
What is i in -2*i**3 - 4*i**2 