
0, 227
Find p, given that p**3/2 - 12*p**2 + 117*p/2 + 169 = 0.
-2, 13
Factor -2*k**5/13 + 14*k**4/13 - 36*k**3/13 + 40*k**2/13 - 16*k/13.
-2*k*(k - 2)**3*(k - 1)/13
What is n in 4*n**5 - 124*n**4 - 540*n**3 - 692*n**2 - 280*n = 0?
-2, -1, 0, 35
Determine s, given that -s**3/9 - 2*s**2/3 + 19*s/9 + 8/3 = 0.
-8, -1, 3
Suppose 2*o**4 + 106*o**3 + 400*o**2 + 392*o = 0. Calculate o.
-49, -2, 0
Factor -27*f**3/5 + 15*f**2 + 126*f/5 + 24/5.
-3*(f - 4)*(f + 1)*(9*f + 2)/5
Factor -h**3/4 + 3*h**2/2 - 8.
-(h - 4)**2*(h + 2)/4
Determine b, given that 3*b**5 - 27*b**4 + 51*b**3 + 75*b**2 - 126*b - 120 = 0.
-1, 2, 4, 5
Suppose 125*k**5 - 145*k**4 - 6146*k**3/5 - 4004*k**2/5 + 152*k - 32/5 = 0. Calculate k.
-2, -1, 2/25, 4
Suppose -r**3 - 224*r**2 + r + 224 = 0. Calculate r.
-224, -1, 1
Factor 3*t**3/5 - 24*t**2/5 + 63*t/5 - 54/5.
3*(t - 3)**2*(t - 2)/5
Find x, given that 2*x**5 + 55*x**4/2 + 81*x**3 + 58*x**2 - 20*x = 0.
-10, -2, 0, 1/4
Factor -5*y**3 - 575*y**2 - 1690*y - 1120.
-5*(y + 1)*(y + 2)*(y + 112)
Find a, given that -2*a**4/7 - 134*a**3/7 + 24*a**2/7 + 1640*a/7 + 2144/7 = 0.
-67, -2, 4
Let -c**5/5 + 2*c**4/5 + 6*c**3/5 - 4*c**2/5 - 13*c/5 - 6/5 = 0. What is c?
-1, 2, 3
Factor 20*h**4 + 148*h**3 + 304*h**2 + 80*h - 192.
4*(h + 2)**2*(h + 4)*(5*h - 3)
Let -4*d**5/5 - 12*d**4/5 + 31*d**3/5 + 44*d**2/5 - 12*d + 16/5 = 0. Calculate d.
-4, -2, 1/2, 2
Determine w, given that w**3/8 + 335*w**2/4 - 673*w/2 + 337 = 0.
-674, 2
Factor 3*w**2 - 36*w + 33.
3*(w - 11)*(w - 1)
Factor -2*b**2 + 12*b + 32.
-2*(b - 8)*(b + 2)
Let 2*t**5/11 + 8*t**4/11 + 4*t**3/11 - 8*t**2/11 - 6*t/11 = 0. Calculate t.
-3, -1, 0, 1
Find k such that -3*k**2 - 219*k + 684 = 0.
-76, 3
Find z, given that 2*z**2/9 + 2852*z/9 + 1016738/9 = 0.
-713
Let 2*r**2/9 - 496*r/9 = 0. What is r?
0, 248
Factor 2*u**4 - 40*u**3 - 234*u**2 - 392*u - 200.
2*(u - 25)*(u + 1)*(u + 2)**2
Solve 2*x**5/7 + 2*x**4/7 - 12*x**3/7 - 8*x**2/7 + 16*x/7 = 0 for x.
-2, 0, 1, 2
Determine m so that -55*m**5 - 100*m**4 + 185*m**3 - 30*m**2 = 0.
-3, 0, 2/11, 1
Factor -l**3/3 - 7*l**2/3 - 10*l/3.
-l*(l + 2)*(l + 5)/3
Solve -4*b**5 - 116*b**4 + 36*b**3 + 1044*b**2 = 0 for b.
-29, -3, 0, 3
Let -4*q**5/9 - 8*q**4/3 + 92*q**3/9 + 16*q**2 - 592*q/9 + 128/3 = 0. What is q?
-8, -3, 1, 2
Let 2*k**4/9 - 334*k**3/9 + 328*k**2/9 + 664*k/9 = 0. What is k?
-1, 0, 2, 166
Factor 2*x**4 + 138*x**3 + 262*x**2 - 402*x.
2*x*(x - 1)*(x + 3)*(x + 67)
Factor 3*v**4/7 + 18*v**3/7 + 33*v**2/7 + 18*v/7.
3*v*(v + 1)*(v + 2)*(v + 3)/7
Factor 2*z**2/3 + 20*z + 352/3.
2*(z + 8)*(z + 22)/3
Let 2*h**4/7 + 82*h**3/7 + 1020*h**2/7 + 4672*h/7 + 5888/7 = 0. Calculate h.
-23, -8, -2
Factor 4*v**3 + 152*v**2 - 484*v + 328.
4*(v - 2)*(v - 1)*(v + 41)
Factor 2*s**3/3 + 1432*s**2/3 + 1430*s/3.
2*s*(s + 1)*(s + 715)/3
Solve -4*w**2 - 460*w + 464 = 0 for w.
-116, 1
Factor -2*l**3 - 22*l**2 - 38*l - 18.
-2*(l + 1)**2*(l + 9)
Suppose x**3 - 9*x**2 - 12*x + 20 = 0. What is x?
-2, 1, 10
Factor 4*v**5 + 36*v**4 + 112*v**3 + 144*v**2 + 64*v.
4*v*(v + 1)*(v + 2)**2*(v + 4)
Factor 2*f**2/11 + 6888*f/11 + 5930568/11.
2*(f + 1722)**2/11
Factor -5*l**3 + 100*l**2 + 105*l.
-5*l*(l - 21)*(l + 1)
Factor j**2/2 - j/2 - 3.
(j - 3)*(j + 2)/2
Find g, given that -3*g**3 - 846*g**2 + 3420*g - 3432 = 0.
-286, 2
Let -3*o**3 - 36*o**2 + 3*o + 36 = 0. What is o?
-12, -1, 1
Suppose 4*i**2 - 12*i + 8 = 0. Calculate i.
1, 2
Suppose y**4/4 - 129*y**3 + 33539*y**2/2 - 33153*y + 66049/4 = 0. Calculate y.
1, 257
Find f, given that -4*f**3 + 52*f**2 - 140*f - 196 = 0.
-1, 7
Factor 2*g**2/5 - 36*g/5.
2*g*(g - 18)/5
Suppose 4*k**5 + 752*k**4 + 34580*k**3 - 72200*k**2 = 0. What is k?
-95, 0, 2
What is m in 2*m**2 - 190*m + 188 = 0?
1, 94
Let -8*l**2/13 - 808*l/13 - 20402/13 = 0. What is l?
-101/2
Let -n**5/2 - 3*n**4/4 + 23*n**3/2 + 12*n**2 - 11*n - 45/4 = 0. What is n?
-5, -1, 1, 9/2
Find y, given that -3*y**4 + 18*y**3 + 885*y**2 - 900*y = 0.
-15, 0, 1, 20
Suppose o**5/5 - 22*o**4/5 + 139*o**3/5 - 178*o**2/5 - 28*o + 40 = 0. What is o?
-1, 1, 2, 10
Solve 4*c**5/19 + 14*c**4/19 - 2*c**3/19 - 30*c**2/19 - 18*c/19 = 0.
-3, -1, 0, 3/2
Let f**4/3 - 32*f**3 + 187*f**2/3 + 32*f - 188/3 = 0. What is f?
-1, 1, 2, 94
Factor 4*b**4/9 + 4*b**3 - 68*b**2/9 - 84*b + 784/9.
4*(b - 4)*(b - 1)*(b + 7)**2/9
Factor -2*z**3/9 + 80*z**2/9 - 986*z/9 + 1156/3.
-2*(z - 17)**2*(z - 6)/9
Determine b so that -2*b**3/7 + 356*b**2/7 + 2*b/7 - 356/7 = 0.
-1, 1, 178
Solve -2*g**2/17 - 432*g/17 - 23328/17 = 0 for g.
-108
Determine s so that -3*s**2/2 + 4947*s - 8157603/2 = 0.
1649
Solve -2*t**3/7 - 496*t**2/7 - 30250*t/7 + 62500/7 = 0.
-125, 2
Factor -r**3 + 56*r**2 + 115*r + 58.
-(r - 58)*(r + 1)**2
Find i such that -9*i**5 + 156*i**4 - 726*i**3 + 1152*i**2 - 705*i + 132 = 0.
1/3, 1, 4, 11
Find r, given that 4*r**3/7 + 136*r**2/7 + 836*r/7 - 5776/7 = 0.
-19, 4
Solve f**3 - 43*f**2 + 483*f - 441 = 0.
1, 21
Factor -2*m**3/13 + 554*m**2/13 + 1114*m/13 + 558/13.
-2*(m - 279)*(m + 1)**2/13
What is p in -2*p**3 + 55*p**2 - 164*p - 96 = 0?
-1/2, 4, 24
Suppose a**4/5 + 18*a**3/5 + 81*a**2/5 = 0. What is a?
-9, 0
Find x such that -25*x**3 + 4615*x**2 - 7300*x - 3660 = 0.
-2/5, 2, 183
Solve 3*b**3/7 - 27*b**2 + 567*b - 3969 = 0.
21
Factor -2*r**3 + 122*r**2 + 252*r.
-2*r*(r - 63)*(r + 2)
Suppose 5*z**3 + 150*z**2 + 1240*z + 1920 = 0. Calculate z.
-16, -12, -2
Let -2*d**5 + 20*d**4 - 46*d**3 + 28*d**2 = 0. What is d?
0, 1, 2, 7
Determine r so that -r**3/5 + r**2 + 13*r/5 + 7/5 = 0.
-1, 7
Suppose -3*v**4/4 - 63*v**3/2 - 330*v**2 + 63*v/2 + 1323/4 = 0. Calculate v.
-21, -1, 1
Factor -2*o**2/11 - 194*o/11 - 564/11.
-2*(o + 3)*(o + 94)/11
Factor 4*v**3 - 716*v**2 + 1420*v - 708.
4*(v - 177)*(v - 1)**2
Factor 3*v**3/2 - 267*v**2/8 + 543*v/4 - 255/8.
3*(v - 17)*(v - 5)*(4*v - 1)/8
Solve 5*t**3 - 120*t**2 + 445*t + 570 = 0.
-1, 6, 19
Factor 5*b**2 - 80*b + 75.
5*(b - 15)*(b - 1)
Let -5*f**2/3 + 980/3 = 0. What is f?
-14, 14
Let -4*z**2 - 336*z - 4352 = 0. What is z?
-68, -16
What is p in 4*p**3 - 12*p**2 - 96*p + 320 = 0?
-5, 4
Factor 4*u**3/3 + 14*u**2/3 + 4*u/3 - 2.
2*(u + 1)*(u + 3)*(2*u - 1)/3
Factor -n**4 + 8*n**3 - 6*n**2 - 40*n - 25.
-(n - 5)**2*(n + 1)**2
Factor 4*q**4 - 96*q**3 + 660*q**2 - 968*q.
4*q*(q - 11)**2*(q - 2)
Factor 4*c**3 - 92*c**2/5 + 16*c + 48/5.
4*(c - 3)*(c - 2)*(5*c + 2)/5
Solve 5*v**3/4 - 39*v**2/4 + 13*v + 3 = 0.
-1/5, 2, 6
Suppose -5*p**4 - 15*p**3 + 30*p**2 + 140*p + 120 = 0. What is p?
-2, 3
Factor -5*y**5/4 + 80*y**4 - 305*y**3 + 300*y**2.
-5*y**2*(y - 60)*(y - 2)**2/4
Suppose -3*d**3/5 - 282*d**2/5 - 111*d - 276/5 = 0. Calculate d.
-92, -1
Factor 4*g**4/9 + 20*g**3 + 172*g**2/3 + 508*g/9 + 56/3.
4*(g + 1)**3*(g + 42)/9
Let -t**4/5 - 28*t**3/5 - 187*t**2/5 - 108*t/5 + 324/5 = 0. What is t?
-18, -9, -2, 1
Let b**2/2 - 15*b + 225/2 = 0. Calculate b.
15
Suppose -4*w**2 + 84*w + 88 = 0. What is w?
-1, 22
Factor 3*k**4 - 1338*k**3 + 149187*k**2.
3*k**2*(k - 223)**2
Determine l so that l**4 - 20*l**3 + 126*l**2 - 196*l - 343 = 0.
-1, 7
Let -5*g**4 - 15*g**3 + 55*g**2 + 15*g - 50 = 0. Calculate g.
-5, -1, 1, 2
Determine u, given that -u**5 + 18*u**4 + 64*u**3 - 18*u**2 - 63*u = 0.
-3, -1, 0, 1, 21
Factor -27*z**3 - 102*z**2 + 348*z - 72.
-3*(z - 2)*(z + 6)*(9*z - 2)
Factor -4*o**4 + 72*o**3 + 80*o**2 - 72*o - 76.
-4*(o - 19)*(o - 1)*(o + 1)**2
Factor -2*r**5/3 + 14*r**4/15 - 4*r**3/15.
-2*r**3*(r - 1)*(5*r - 2)/15
Factor -3*v**2/7 - 816*v/7 - 55488/7.
-3*(v + 136)**2/7
Factor -4*a**3 + 104*a**2 - 192*a.
-4*a*(a - 24)*(a - 2)
Suppose -4*l**5 - 154*l**4 - 1510*l**3 - 346*l**2 + 3458*l - 1444 = 0. Calculate l.
-19, -2, 1/2, 1
Solve -2*r**4/11 + 56*r**3/11 - 42*r**2/11 - 324*r/11 = 0.
-2, 0, 3, 27
Factor 2*j**4/13 + 32*j**3/13 - 72*j**2/13.
2*j**2*(j - 2)*(j + 18)/13
Factor 4*g**5 + 56*g**4 - 124*g**3 + 64*g**2.
4*g**2*(g - 1)**2*(g + 16)
Find h, given that 3*h**3 + 33*h**2 + 30*h = 0.
-10, -1, 0
Solve -8*f**4 - 62*f**3 + 648*f**2 - 718*f + 140 = 0 for f.
-14, 1/4, 1, 5
Solve 127449*t**2 + 1428*t + 4 = 0 for t.
-2/357
Determine r so that -r**4/4 + 3*r**3/2 - 9*r**2/4 - r + 3 = 0.
-1, 2, 3
Factor s**3 - 298*s**2 + 885*s.
s*(s - 295)*(s - 3)
What is o in 4*o**2 + 1256*o + 98596 = 0?
-157
Suppose -5*g**5/7 - 32*g**4/7 + 48*g**3/7 + 374*g**2/7 - 235*g/7 - 150/7 = 0. Calculate g.
-5, -2/5, 1, 3
Determine b, given that