
6*g*(g - 260)*(g + 1)/11
Factor 3*k**3 - 21*k**2 + 24*k + 48.
3*(k - 4)**2*(k + 1)
Factor 2*w**3/3 + 266*w**2/3 + 8710*w/3 - 8978/3.
2*(w - 1)*(w + 67)**2/3
Solve s**2/6 - 4*s - 25/6 = 0.
-1, 25
Factor -2*n**3 + 82*n**2 + 260*n + 176.
-2*(n - 44)*(n + 1)*(n + 2)
Factor 2*b**3 + 342*b**2 + 14448*b - 14792.
2*(b - 1)*(b + 86)**2
Factor w**3/8 + 5*w**2/4 + 7*w/2 + 3.
(w + 2)**2*(w + 6)/8
Suppose 5*n**4 - 55*n**3 + 205*n**2 - 305*n + 150 = 0. What is n?
1, 2, 3, 5
Factor -v**2 + 49*v - 48.
-(v - 48)*(v - 1)
Factor 2*p**2 + 102*p + 288.
2*(p + 3)*(p + 48)
Find b such that 2*b**3/11 - 278*b**2/11 + 9520*b/11 + 9800/11 = 0.
-1, 70
Factor 9*c**3/2 - 83*c**2/2 + 9*c.
c*(c - 9)*(9*c - 2)/2
Determine f so that f**2 - 211*f - 426 = 0.
-2, 213
Suppose -n**2/4 + 1058*n - 1119364 = 0. Calculate n.
2116
Factor -3*a**2 + 540*a - 24300.
-3*(a - 90)**2
Factor m**4 + 20*m**3 + 142*m**2 + 420*m + 441.
(m + 3)**2*(m + 7)**2
Factor 2*h**3/7 + 38*h**2 + 74*h - 786/7.
2*(h - 1)*(h + 3)*(h + 131)/7
Factor 2*q**3 - 9020*q**2 + 10170050*q.
2*q*(q - 2255)**2
Find x, given that 5*x**3 - 140*x**2 + 725*x + 3570 = 0.
-3, 14, 17
Suppose g**5 + 13*g**4 - 69*g**3 - 13*g**2 + 68*g = 0. What is g?
-17, -1, 0, 1, 4
Factor -v**4/5 + 42*v**3/5 + 384*v**2/5 + 160*v.
-v*(v - 50)*(v + 4)**2/5
Factor -2*n**2/7 + 4*n + 480/7.
-2*(n - 24)*(n + 10)/7
Factor 2*c**2/5 - 29852*c/5 + 111392738/5.
2*(c - 7463)**2/5
Solve 2*u**5/5 - 38*u**4/5 + 158*u**3/5 - 266*u**2/5 + 40*u - 56/5 = 0 for u.
1, 2, 14
Find y, given that -2*y**2 + 2238*y + 2240 = 0.
-1, 1120
Solve -y**5/8 - y**4/8 + y**3/2 + y**2/2 = 0 for y.
-2, -1, 0, 2
Factor -4*d**2 - 1876*d + 3768.
-4*(d - 2)*(d + 471)
Factor 2*m**3/7 - 1138*m**2/7 + 161310*m/7 + 162450/7.
2*(m - 285)**2*(m + 1)/7
Solve 2*x**5/7 - 32*x**4/7 - 250*x**3/7 - 320*x**2/7 + 248*x/7 + 352/7 = 0.
-4, -2, -1, 1, 22
Factor 12*v**3 - 87*v**2 + 198*v - 135.
3*(v - 3)**2*(4*v - 5)
Solve -2*o**4/5 + 44*o**2/5 + 48*o/5 - 18 = 0 for o.
-3, 1, 5
Determine a, given that -a**4 + 64*a**3 + 486*a**2 + 776*a + 355 = 0.
-5, -1, 71
Find j such that 3*j**4 - 24*j**3 + 39*j**2 + 90*j - 216 = 0.
-2, 3, 4
Find c such that 27*c**2 + 56*c + 4 = 0.
-2, -2/27
Find t, given that -2*t**3/3 + 48*t**2 - 1152*t + 9216 = 0.
24
Solve -2*d**2/3 - 24*d - 216 = 0.
-18
Find x such that 3*x**5 - 1605*x**4 + 217065*x**3 - 641595*x**2 + 638400*x - 212268 = 0.
1, 266
Solve -i**4/7 + 2*i**3/7 + 5*i**2 - 72*i/7 + 36/7 = 0 for i.
-6, 1, 6
Find f such that f**3 - 35*f**2 + 252*f - 468 = 0.
3, 6, 26
Solve m**2 + 44*m + 84 = 0 for m.
-42, -2
Factor 3*t**3 + 1674*t**2 - 3360*t.
3*t*(t - 2)*(t + 560)
Determine s so that -3*s**5/7 + 3*s**4 - 54*s**3/7 + 66*s**2/7 - 39*s/7 + 9/7 = 0.
1, 3
Find w such that -884*w**4 - 2660*w**3 - 24*w**2 + 3536*w + 32 = 0.
-2, -2/221, 1
Determine b, given that b**4 - 32*b**3 + 282*b**2 - 616*b - 931 = 0.
-1, 7, 19
Let 5*a**3 + 45*a**2 + 120*a + 100 = 0. Calculate a.
-5, -2
Find b, given that -2*b**3/7 - 42*b**2 + 300*b/7 + 592/7 = 0.
-148, -1, 2
Determine r, given that 5*r**3 + 171*r**2 - 5*r - 171 = 0.
-171/5, -1, 1
Suppose -3*a**5/2 + 3*a**4 + 3*a**3 - 12*a**2 + 21*a/2 - 3 = 0. What is a?
-2, 1
Factor -2*b**2/19 + 164*b/19 - 162/19.
-2*(b - 81)*(b - 1)/19
Solve z**2 + 38*z = 0.
-38, 0
Solve u**2/2 - 73*u + 5329/2 = 0 for u.
73
Determine v so that 3*v**3/4 - 813*v**2/4 - 1233*v/2 = 0.
-3, 0, 274
Factor 2*p**2 + 170*p + 168.
2*(p + 1)*(p + 84)
Let -2*k**2/5 + 2*k + 352/5 = 0. What is k?
-11, 16
Factor 5*i**4/3 + 650*i**3/3.
5*i**3*(i + 130)/3
Suppose -b**2 + 136*b - 4624 = 0. What is b?
68
Determine u so that -u**4 - 20*u**3 - 74*u**2 + 20*u + 75 = 0.
-15, -5, -1, 1
Factor -3*m**3/2 + 81*m**2/2.
-3*m**2*(m - 27)/2
Solve 4*x**4 - 448*x**3 - 4*x**2 + 448*x = 0.
-1, 0, 1, 112
Factor z**4/4 + 47*z**3 + 1453*z**2 - 71064*z + 571536.
(z - 14)**2*(z + 108)**2/4
Factor -s**3 + 542*s**2/5 + 4424*s/5 - 1856/5.
-(s - 116)*(s + 8)*(5*s - 2)/5
Factor -2*y**3/13 - 4298*y**2/13 + 17216*y/13 - 17224/13.
-2*(y - 2)**2*(y + 2153)/13
Factor 7*p**3/3 + 585*p**2 - 3154*p + 2560/3.
(p - 5)*(p + 256)*(7*p - 2)/3
What is u in 4*u**4 - 360*u**3 + 708*u**2 - 352*u = 0?
0, 1, 88
Find h such that -4*h**3/5 + 20*h**2 = 0.
0, 25
Find o, given that o**5/2 + 151*o**4/2 + 3295*o**3 + 33337*o**2 + 159873*o/2 - 233289/2 = 0.
-69, -7, 1
Factor 4*b**4 - 132*b**3 - 276*b**2 - 140*b.
4*b*(b - 35)*(b + 1)**2
Determine g, given that -4*g**2 + 196*g - 376 = 0.
2, 47
Suppose -5*f**4 + 10*f**3 + 75*f**2 + 20*f - 100 = 0. Calculate f.
-2, 1, 5
Factor 5*m**3 - 1760*m**2 + 161680*m - 1183360.
5*(m - 172)**2*(m - 8)
Suppose 243*k**4 - 2511*k**3 + 3060*k**2 - 3952*k/3 + 192 = 0. What is k?
4/9, 9
Factor 3*x**5 - 3*x**4 - 114*x**3 - 372*x**2 - 456*x - 192.
3*(x - 8)*(x + 1)*(x + 2)**3
Factor -5*b**4/2 + 65*b**3/2 - 135*b**2 + 230*b - 140.
-5*(b - 7)*(b - 2)**3/2
Factor -204*h**2 + 212*h - 8.
-4*(h - 1)*(51*h - 2)
Factor 25*f**3/4 + f**2/4 - 25*f - 1.
(f - 2)*(f + 2)*(25*f + 1)/4
Suppose y**2 - 42*y - 43 = 0. What is y?
-1, 43
Find t, given that t**4/4 - 14*t**3 + 933*t**2/4 - 2075*t/2 + 1250 = 0.
2, 4, 25
Factor 6*o**3/11 + 6*o**2/11 - 24*o/11 - 24/11.
6*(o - 2)*(o + 1)*(o + 2)/11
Determine o, given that 2*o**3/3 - 4*o**2 = 0.
0, 6
Factor l**3 - 143*l**2 + 142*l.
l*(l - 142)*(l - 1)
Let 25*q**3 + 1020*q**2 + 795*q - 200 = 0. Calculate q.
-40, -1, 1/5
Factor -21*w**3/2 + w**2 + 21*w/2 - 1.
-(w - 1)*(w + 1)*(21*w - 2)/2
Factor -b**3/7 + 25*b**2/7 + 508*b/7 - 76.
-(b - 38)*(b - 1)*(b + 14)/7
What is v in -5*v**2 - 135*v + 140 = 0?
-28, 1
Let -2*p**5/3 - 12*p**4 - 152*p**3/3 - 28*p**2 + 154*p/3 + 40 = 0. What is p?
-12, -5, -1, 1
Find w such that w**2/4 - 679*w/4 + 339/2 = 0.
1, 678
Solve -3*r**5/2 + 319*r**4/2 - 419*r**3/2 - 107*r**2/2 + 105*r = 0.
-2/3, 0, 1, 105
Factor -2*h**3/9 + 34*h**2/3 - 292*h/9 + 64/3.
-2*(h - 48)*(h - 2)*(h - 1)/9
Factor 2*v**2/9 - 308*v/9 - 310/9.
2*(v - 155)*(v + 1)/9
Find c, given that 9*c**4 + 75*c**3 + 177*c**2 + 141*c + 30 = 0.
-5, -2, -1, -1/3
Determine w so that 3*w**5 + 411*w**4 - 834*w**3 + 6*w**2 + 831*w - 417 = 0.
-139, -1, 1
Factor -h**4 - 9*h**3 + 70*h**2.
-h**2*(h - 5)*(h + 14)
Let -2*y**5/3 - 10*y**4/3 + 10*y**3 + 10*y**2/3 - 28*y/3 = 0. What is y?
-7, -1, 0, 1, 2
Find h, given that 4*h**2 + 4648*h + 1350244 = 0.
-581
Find a, given that 4*a**2 + 264*a - 544 = 0.
-68, 2
Factor -2*c**2 - 1508*c - 284258.
-2*(c + 377)**2
Determine x, given that 13*x**5/9 + 145*x**4/9 + 490*x**3/9 + 280*x**2/9 - 800*x/9 - 128/9 = 0.
-4, -2/13, 1
Let 4*h**2 + 64*h + 220 = 0. What is h?
-11, -5
Factor 3*v**3/5 - 381*v**2/5 + 1848*v/5 - 2196/5.
3*(v - 122)*(v - 3)*(v - 2)/5
Factor -3*w**3/7 - 36*w**2/7 + 12*w/7 + 144/7.
-3*(w - 2)*(w + 2)*(w + 12)/7
Suppose -o**3/6 + o**2/2 + 5*o/3 - 4 = 0. Calculate o.
-3, 2, 4
Let 3*v**5 + 15*v**4 + 18*v**3 - 6*v**2 - 21*v - 9 = 0. Calculate v.
-3, -1, 1
What is o in 4*o**2 + 960*o + 57600 = 0?
-120
Find j, given that -2*j**3/5 - 8*j**2 - 128*j/5 = 0.
-16, -4, 0
Factor 4*q**2 + 1604*q - 1608.
4*(q - 1)*(q + 402)
Suppose -14*t**4/3 - 4*t**3/3 = 0. What is t?
-2/7, 0
Factor l**4/7 + 90*l**3/7 - 372*l**2/7 + 376*l/7.
l*(l - 2)**2*(l + 94)/7
Determine c, given that -3*c**2 - 6*c + 72 = 0.
-6, 4
Factor 2*n**5 - 140*n**4 + 536*n**3 - 528*n**2.
2*n**2*(n - 66)*(n - 2)**2
Find n, given that 15*n**5 - 3*n**4 - 60*n**3 + 12*n**2 = 0.
-2, 0, 1/5, 2
Find b, given that -4*b**2/3 - 526*b/3 + 88 = 0.
-132, 1/2
Determine i so that 2*i**2/13 - 224*i + 81536 = 0.
728
Let -a**2/4 - 161*a/2 - 25921/4 = 0. What is a?
-161
Find z such that 8*z**3/7 - 118*z**2/7 - 1038*z/7 - 36 = 0.
-6, -1/4, 21
Determine z, given that 12*z**4 + 56*z**3 + 80*z**2 + 32*z = 0.
-2, -2/3, 0
Factor r**5 - 3118*r**4 + 2430481*r**3.
r**3*(r - 1559)**2
Factor 15*a**3 + 2630*a**2 + 114400*a - 77440.
5*(a + 88)**2*(3*a - 2)
Factor o**2/5 + 21*o/5 - 22/5.
(o - 1)*(o + 22)/5
Suppose 3*b**2/8 - 30*b - 387/2 = 0. What is b?
-6, 86
Factor 5*b**3/2 - 11*b**2 + 4*b.
b*(b - 4)*(5*b - 2)/2
Determine n, given that 3*n**5 + 114*n**4 + 696*n**3 - 7152*n**2 + 16368*n - 11616 = 0.
-22, 2
Factor 4*p**4 - 80*p**3 - 88*p**2 + 80*p + 84.
4*(p - 21)*(p - 1)*(p + 1)**2
Factor i**4/9 + i**3/3 - 4*i/9.
i*(i - 1)*(i + 2)**2/9
Solve -8*d**5/5 + 17*d**4/5 - 2*d**3 + d**2/5 = 0 for d.
0, 1/8, 1
Find s, given that -s**5 - 21*s**4 + 1582*s**3 - 15874*