1, 0
What is p in -p**3/3 - 115*p**2/3 - 227*p/3 - 113/3 = 0?
-113, -1
Determine z so that -45*z**5 - 160*z**4 - 100*z**3 + 80*z**2 = 0.
-2, 0, 4/9
Solve 8*w**3/23 + 2*w**2/23 - 200*w/23 - 50/23 = 0 for w.
-5, -1/4, 5
What is a in 2*a**2 + 394*a + 780 = 0?
-195, -2
Let 3*j**3/5 - 1872*j**2/5 + 3732*j/5 = 0. What is j?
0, 2, 622
Factor a**2 + 56*a.
a*(a + 56)
Let -3*n**4 - 21*n**3 - 36*n**2 + 12*n + 48 = 0. Calculate n.
-4, -2, 1
Factor -2*g**3 + 482*g**2.
-2*g**2*(g - 241)
Factor -2*l**3/9 + 2*l**2/3 + 8*l/9 - 8/3.
-2*(l - 3)*(l - 2)*(l + 2)/9
Solve -3*p**3 - 90*p**2 - 87*p = 0.
-29, -1, 0
What is z in 4*z**3/3 + 158*z**2/3 + 26*z = 0?
-39, -1/2, 0
Suppose 2*m**4/5 - 8*m**3/5 + 2*m**2/5 + 12*m/5 = 0. Calculate m.
-1, 0, 2, 3
Factor 3*m**5 + 270*m**4 + 5799*m**3 - 12420*m**2 + 6348*m.
3*m*(m - 1)**2*(m + 46)**2
Solve 5*k**2 + 15*k + 10 = 0.
-2, -1
Determine m, given that m**5/2 + 5*m**4 - 3*m**3/2 - 14*m**2 + 10*m = 0.
-10, -2, 0, 1
Factor -3*z**3/7 + 81*z**2/7 - 288*z/7 - 3840/7.
-3*(z - 16)**2*(z + 5)/7
Solve 5*q**2 + 10*q = 0 for q.
-2, 0
Factor -4*y**4/3 - 896*y**3 - 150528*y**2.
-4*y**2*(y + 336)**2/3
Determine p, given that p**2/4 + 66*p = 0.
-264, 0
Solve -d**4/7 - 4*d**3 - 75*d**2/7 = 0 for d.
-25, -3, 0
Let -4*q**5/3 + 19*q**3/3 - q**2/3 - 4*q + 4/3 = 0. Calculate q.
-2, -1, 1/2, 2
Suppose -2*v**4 + 194*v**2 - 600*v - 792 = 0. What is v?
-11, -1, 6
Factor 2*w**2/5 + 292*w/5 - 624.
2*(w - 10)*(w + 156)/5
Solve 3*z**5/2 + 6*z**4 + 9*z**3/2 = 0 for z.
-3, -1, 0
Suppose m**5/9 - m**3/3 - 2*m**2/9 = 0. Calculate m.
-1, 0, 2
Solve -9*c**2 + 132*c - 484 = 0 for c.
22/3
Let 2*g**3 - 12*g**2 + 6*g + 20 = 0. What is g?
-1, 2, 5
What is q in 16*q**4 - 26*q**3 - 12*q**2 = 0?
-3/8, 0, 2
Factor -v**2 + 415*v - 1236.
-(v - 412)*(v - 3)
Factor f**2/7 - 135*f/7 + 650/7.
(f - 130)*(f - 5)/7
Factor 2*h**2/5 + 8*h/5.
2*h*(h + 4)/5
Factor -3*g**4 - 3*g**3 + 9*g**2 + 3*g - 6.
-3*(g - 1)**2*(g + 1)*(g + 2)
Solve 2*u**4 + 22*u**3 + 62*u**2 + 42*u = 0 for u.
-7, -3, -1, 0
Find p such that -2*p**4 - 16*p**3 + 66*p**2 + 280*p + 200 = 0.
-10, -2, -1, 5
Solve -5*j**3 + 300*j**2 = 0.
0, 60
Suppose -i**3/4 + 11*i**2/4 + 25*i/4 + 13/4 = 0. What is i?
-1, 13
Factor -7*f**3/4 + 167*f**2/4 + 275*f/2 + 94.
-(f + 1)*(f + 2)*(7*f - 188)/4
Factor 2*m**4 + 68*m**3 + 504*m**2 + 432*m - 3456.
2*(m - 2)*(m + 6)**2*(m + 24)
Let 2*t**2/13 - 976*t/13 + 119072/13 = 0. Calculate t.
244
What is q in -q**4/5 - 138*q**3/5 + 84*q**2 - 422*q/5 + 141/5 = 0?
-141, 1
Factor -4*j**3 + 172*j**2 - 328*j.
-4*j*(j - 41)*(j - 2)
Factor q**2 + 19*q + 18.
(q + 1)*(q + 18)
Factor -3*w**2 + 228*w + 231.
-3*(w - 77)*(w + 1)
Determine u, given that 4*u**3 - 64*u**2 + 164*u - 104 = 0.
1, 2, 13
Factor -2*j**4/7 - 68*j**3/7 - 66*j**2/7.
-2*j**2*(j + 1)*(j + 33)/7
Factor -5*d**4 + 10*d**3 + 15*d**2 - 20*d - 20.
-5*(d - 2)**2*(d + 1)**2
Suppose 1573538*t**2/13 + 21288*t/13 + 72/13 = 0. Calculate t.
-6/887
Factor -145*g**2 - 45*g.
-5*g*(29*g + 9)
Factor -u**4 - 13*u**3 - 18*u**2 + 160*u - 128.
-(u - 2)*(u - 1)*(u + 8)**2
Suppose -9*a**3/4 - 9*a**2 - 5*a + 8 = 0. What is a?
-8/3, -2, 2/3
Determine o so that -2*o**3/5 + 318*o**2/5 - 316*o/5 = 0.
0, 1, 158
Solve 2*a**3/3 + 612*a**2 + 1222*a + 1832/3 = 0.
-916, -1
Determine b so that -3*b**2/7 - 26706*b/7 - 59434203/7 = 0.
-4451
Solve l**5/5 - 7*l**4/5 + 18*l**3/5 - 4*l**2 + 8*l/5 = 0.
0, 1, 2
Factor -w**3/2 - 119*w**2/2 + 576*w.
-w*(w - 9)*(w + 128)/2
Let -4*q**3 + 64*q**2 - 316*q + 480 = 0. What is q?
3, 5, 8
Factor -5*b**2/4 + 20*b - 75/4.
-5*(b - 15)*(b - 1)/4
Factor 2*o**5/9 + 164*o**4/9 - 56*o**3 + 508*o**2/9 - 170*o/9.
2*o*(o - 1)**3*(o + 85)/9
Let 5*x**4 + 245*x**3 + 920*x**2 + 900*x = 0. What is x?
-45, -2, 0
Factor 4*i**3/9 - 572*i**2/9 + 20732*i/9 - 20164/9.
4*(i - 71)**2*(i - 1)/9
Solve -4*q**3 + 184*q**2 + 1980*q = 0.
-9, 0, 55
Let 5*m**3/4 + 148*m**2 + 17641*m/4 + 3481/2 = 0. What is m?
-59, -2/5
Find a, given that 5*a**2 - 345*a + 4420 = 0.
17, 52
Let -5*b**2 - 30*b = 0. Calculate b.
-6, 0
What is t in 9*t**3 - 2*t**2 = 0?
0, 2/9
Let c**2/3 - 10*c/3 - 11/3 = 0. Calculate c.
-1, 11
Let -5*z**5/4 + 5*z**4 - 5*z**3/4 - 15*z**2/2 = 0. Calculate z.
-1, 0, 2, 3
Factor 4*g**3/5 - 4*g**2 - 24*g/5.
4*g*(g - 6)*(g + 1)/5
Factor -2*n**2/9 - 2716*n/9 - 922082/9.
-2*(n + 679)**2/9
Determine b so that -61*b**3 - 129*b**2 - 14*b = 0.
-2, -7/61, 0
Factor a**5/3 - a**4/3.
a**4*(a - 1)/3
Solve 2*o**4/9 + 4*o**3/9 - 22*o**2/9 - 8*o/3 = 0.
-4, -1, 0, 3
Factor a**4/12 - 60*a**3 + 359*a**2/3.
a**2*(a - 718)*(a - 2)/12
Let 2*x**3/3 + 50*x**2/3 + 304*x/3 + 544/3 = 0. What is x?
-17, -4
Suppose -2*g**4 - 364*g**3 + 738*g**2 + 364*g - 736 = 0. What is g?
-184, -1, 1, 2
Find v, given that 12*v**4 - 112*v**3 - 732*v**2 - 752*v + 336 = 0.
-3, -2, 1/3, 14
Determine m, given that 3*m**4 - 1365*m**3 + 209250*m**2 - 11137500*m + 50625000 = 0.
5, 150
What is c in 3*c**2 + 11328*c - 11331 = 0?
-3777, 1
Factor -u**2 + 6*u.
-u*(u - 6)
Factor f**2/5 + f/5.
f*(f + 1)/5
Find x, given that -x**4/2 - 93*x**3/2 - 181*x**2/2 + 93*x/2 + 91 = 0.
-91, -2, -1, 1
Solve m**4/4 + 31*m**3/2 + 317*m**2 + 4505*m/2 + 7803/4 = 0 for m.
-27, -17, -1
Let -841*x**3/6 - 58*x**2/3 - 2*x/3 = 0. What is x?
-2/29, 0
Let -2*u**3/17 + 2*u**2/17 + 2*u/17 - 2/17 = 0. What is u?
-1, 1
Factor -11*j**2 + 83*j - 150.
-(j - 3)*(11*j - 50)
Let 2*z**3/7 - 16*z**2/7 + 10*z/7 + 4 = 0. Calculate z.
-1, 2, 7
Suppose 20*w**5 - 96*w**4 + 160*w**3 - 104*w**2 + 12*w + 8 = 0. What is w?
-1/5, 1, 2
Factor -3*n**4 - 45*n**3 - 114*n**2 - 72*n.
-3*n*(n + 1)*(n + 2)*(n + 12)
Find i, given that -5*i**4 - 540*i**3 - 2615*i**2 - 4140*i - 2060 = 0.
-103, -2, -1
Factor 4*v**3 - 64*v**2 - 144*v.
4*v*(v - 18)*(v + 2)
Let -2*s**5 + 302*s**4 - 15588*s**3 + 293804*s**2 - 984410*s + 705894 = 0. What is s?
1, 3, 49
Find n such that 2*n**3/3 + 88*n**2/3 + 126*n - 4860 = 0.
-27, 10
Find o such that 2*o**4/5 + 81*o**3/5 + 1106*o**2/5 + 1053*o + 2366/5 = 0.
-14, -13, -1/2
Factor 5*g**2 - 11955*g + 11950.
5*(g - 2390)*(g - 1)
Solve -h**5 + 4*h**4 + 4*h**3 - 34*h**2 + 45*h - 18 = 0.
-3, 1, 2, 3
What is g in -2*g**2/5 - 172*g/5 - 3698/5 = 0?
-43
Factor -7*a**2/6 - 125*a/3 + 12.
-(a + 36)*(7*a - 2)/6
Solve -4*g**5/5 - 16*g**4/5 + 8*g**3/5 + 32*g**2/5 - 4*g/5 - 16/5 = 0 for g.
-4, -1, 1
Let r**4 - 5*r**3 + 2*r**2 + 20*r - 24 = 0. Calculate r.
-2, 2, 3
Factor z**3 + 29*z**2 + 28*z.
z*(z + 1)*(z + 28)
Factor r**3/2 - 143*r**2/2 + 70*r + 142.
(r - 142)*(r - 2)*(r + 1)/2
Factor 3*k**2 - 4612*k - 3076.
(k - 1538)*(3*k + 2)
Find y, given that -2*y**4 + 47*y**3/2 - 189*y**2/2 + 297*y/2 - 135/2 = 0.
3/4, 3, 5
Factor -c**3/3 + 915*c**2 - 837225*c + 255353625.
-(c - 915)**3/3
Suppose 238*b**5/3 + 334*b**4/3 - 124*b**3 - 184*b**2/3 - 16*b/3 = 0. Calculate b.
-2, -2/7, -2/17, 0, 1
Find h, given that -2*h**3/5 - 1332*h**2/5 - 223104*h/5 - 440896/5 = 0.
-332, -2
Factor a**5 - 99*a**4 - 1066*a**3 - 2648*a**2 + 3360*a + 13952.
(a - 109)*(a - 2)*(a + 4)**3
Factor 3*t**3/8 - 15*t**2/4 + 75*t/8.
3*t*(t - 5)**2/8
Factor i**4/3 - 41*i**3/3 - 354*i**2.
i**2*(i - 59)*(i + 18)/3
Suppose -5*w**3 + 41*w**2 + 632*w - 128 = 0. Calculate w.
-8, 1/5, 16
Solve -2*m**4/7 + 40*m**3/7 - 236*m**2/7 + 360*m/7 - 162/7 = 0 for m.
1, 9
Factor -s**4 - 16*s**3 - 90*s**2 - 200*s - 125.
-(s + 1)*(s + 5)**3
Suppose 2*y**5/7 - 6*y**4/7 - 18*y**3/7 + 62*y**2/7 - 72/7 = 0. Calculate y.
-3, -1, 2, 3
Factor x**3/3 + 3*x**2 + 2*x/3 - 16.
(x - 2)*(x + 3)*(x + 8)/3
Factor -2*s**2/3 + 6*s.
-2*s*(s - 9)/3
Let -4*f**2 - 20*f + 96 = 0. What is f?
-8, 3
Solve -8*p**3/5 - 114*p**2 + 2258*p/5 + 120 = 0.
-75, -1/4, 4
Solve 14*d**5 - 176*d**4/3 + 2*d**3/3 + 116*d**2/3 + 16*d/3 = 0 for d.
-2/3, -1/7, 0, 1, 4
Factor 2*v**2/11 - 2*v - 360/11.
2*(v - 20)*(v + 9)/11
Let -20*d**4 + 15*d**3 + 185*d**2 - 135*d - 45 = 0. Calculate d.
-3, -1/4, 1, 3
Find y such that y**5/3 - 5*y**4/3 + 5*y**3/3 + 5*y**2/3 - 2*y = 0.
-1, 0, 1, 2, 3
Factor -p**2/8 - 65*p/4 - 381/8.
-(p + 3)*(p + 127)/8
Let -2*o**3/7 - 6*o**2/7 + 80*o/7 + 24 = 0. What is o?
-7, -2, 6
Determine n so that -4*n**4/7 - 236*n**3 - 3292*n**2/7 - 1644*n/7 = 0.
-411, -1, 0
Let -5*f**4/2 - 40*f**3 - 125*f**2/2 + 105*f = 0. Calculate f.
-14, -3, 0, 1
Factor -b**4 + 3*b**3 + b**2 - 3*b.
-b*(b - 3)*(b - 1)*(b + 1)
Let 2*m**2/5 + 372*m/5 - 304 = 0. What is m?
-190, 4
D