3 + 136*u - 396.
-4*(u - 99)*(u - 3)/3
Factor 3*s**4 + 24*s**3 - 135*s**2 + 108*s.
3*s*(s - 3)*(s - 1)*(s + 12)
What is m in -m**3 + 1076*m**2 - 288365*m - 581042 = 0?
-2, 539
Factor -4*f**3/7 - 4*f**2/7 + 8*f/7.
-4*f*(f - 1)*(f + 2)/7
Factor -2*x**2/5 + 38*x/5 + 8.
-2*(x - 20)*(x + 1)/5
Solve -2*f**4/3 - 8*f**3 - 32*f**2 - 160*f/3 - 32 = 0 for f.
-6, -2
Factor 5*b**2 + 480*b + 4300.
5*(b + 10)*(b + 86)
Suppose -5*w**4 + 10*w**2 - 5 = 0. Calculate w.
-1, 1
Solve 2*g**2/9 + 70*g/3 + 392 = 0 for g.
-84, -21
Factor s**3/6 - 37*s**2/6 - 36*s + 42.
(s - 42)*(s - 1)*(s + 6)/6
Let q**4/4 - q**3/2 - 5*q**2 - 6*q = 0. What is q?
-2, 0, 6
Let 2*j**5 - 22*j**4 + 64*j**3 + 16*j**2 - 288*j + 288 = 0. Calculate j.
-2, 2, 3, 6
Factor -3*f**2 - 3*f + 6.
-3*(f - 1)*(f + 2)
Suppose -9*o**2 - 141*o/5 - 18/5 = 0. Calculate o.
-3, -2/15
What is s in -s**2/7 + 5*s/7 - 6/7 = 0?
2, 3
Factor -2*c**2/13 + 22*c/13 - 56/13.
-2*(c - 7)*(c - 4)/13
Let -4*g**4 - 12*g**3 - 4*g**2 + 12*g + 8 = 0. Calculate g.
-2, -1, 1
Solve -z**3/2 + 2*z**2 - 5*z/2 + 1 = 0.
1, 2
Suppose 5*p**2 - 25*p - 250 = 0. Calculate p.
-5, 10
Solve -3*g**3 + 1221*g**2 - 126048*g + 367236 = 0 for g.
3, 202
Suppose -27*b**4/2 + 57*b**3/4 - 3*b**2/4 = 0. What is b?
0, 1/18, 1
Factor 2*c**2 + 264*c + 8712.
2*(c + 66)**2
Factor 2*n**4/5 - 12*n**3/5 + 2*n**2/5 + 48*n/5 + 32/5.
2*(n - 4)**2*(n + 1)**2/5
Find i, given that -5*i**5 + 100*i**4 + 25*i**3 - 500*i**2 - 20*i + 400 = 0.
-2, -1, 1, 2, 20
Factor -3*m**4 + 108*m**3 - 1242*m**2 + 4860*m - 6075.
-3*(m - 15)**2*(m - 3)**2
Let -8*c**3 + 692*c**2 + 1772*c + 712 = 0. What is c?
-2, -1/2, 89
Factor 44*d**3 - 404*d**2 + 72*d.
4*d*(d - 9)*(11*d - 2)
Factor -5*h**3 - 210*h**2 - 1125*h - 1620.
-5*(h + 3)**2*(h + 36)
What is f in 9*f**4 - 75*f**3 - 54*f**2 = 0?
-2/3, 0, 9
Solve 3*i**3 - 57*i**2 + 144*i = 0.
0, 3, 16
Factor 4*g**2 - 80*g - 3200.
4*(g - 40)*(g + 20)
Factor -n**3/4 + 5*n**2/4 + 13*n/4 + 7/4.
-(n - 7)*(n + 1)**2/4
Find a such that -8*a**3/19 + 10*a**2/19 + 36*a/19 + 18/19 = 0.
-1, -3/4, 3
Factor d**2/4 - 2045*d/2 + 4182025/4.
(d - 2045)**2/4
Determine f so that -5103*f**3/5 - 15444*f**2/5 - 13579*f/5 - 2738/5 = 0.
-37/27, -2/7
What is q in 5*q**5 + 18*q**4 - 13*q**3 - 18*q**2 + 8*q = 0?
-4, -1, 0, 2/5, 1
Factor 4*b**3 - 76*b**2 + 64*b + 144.
4*(b - 18)*(b - 2)*(b + 1)
Find r such that -2*r**2 - 10*r + 28 = 0.
-7, 2
Solve -2*o**4 + 4*o**3 + 2*o**2 - 4*o = 0.
-1, 0, 1, 2
Factor -k**2/2 + 3*k/4 + 5/4.
-(k + 1)*(2*k - 5)/4
Solve 7*q**4 - 5*q**3 - 16*q**2 - 4*q = 0 for q.
-1, -2/7, 0, 2
Factor -d**2/4 + 605*d/4 + 303/2.
-(d - 606)*(d + 1)/4
Factor t**4/3 + 10*t**3/3 - 16*t**2 - 30*t + 117.
(t - 3)**2*(t + 3)*(t + 13)/3
Factor 4*f**4/3 - 16*f**3/3 - 64*f**2 - 448*f/3 - 320/3.
4*(f - 10)*(f + 2)**3/3
Find h, given that -3*h**2/4 + 2013*h/4 = 0.
0, 671
Factor m**2 + 6*m - 72.
(m - 6)*(m + 12)
Find o such that 2*o**2/7 + 20*o + 350 = 0.
-35
Factor y**2 + 233*y - 234.
(y - 1)*(y + 234)
Factor -4*w**3 - 288*w**2 - 6144*w - 40960.
-4*(w + 16)**2*(w + 40)
Factor 2*h**3/7 - 828*h**2/7 + 85698*h/7.
2*h*(h - 207)**2/7
Find n, given that -2*n**2 + 58*n - 108 = 0.
2, 27
What is l in -l**3/8 - 9*l**2/8 - 5*l/2 - 3/2 = 0?
-6, -2, -1
Factor w**5/2 + 7*w**4 + 12*w**3 - w**2 - 25*w/2 - 6.
(w - 1)*(w + 1)**3*(w + 12)/2
Factor 2*v**2/5 + 88*v/5 + 968/5.
2*(v + 22)**2/5
Let -o**5 + 8*o**4 - 19*o**3 + 12*o**2 = 0. Calculate o.
0, 1, 3, 4
Find h such that -4*h**4 - 64*h**3 + 340*h**2 + 400*h = 0.
-20, -1, 0, 5
Suppose -a**2/3 + 224*a/3 - 3328/3 = 0. What is a?
16, 208
Determine k, given that -k**5/6 - 55*k**4/6 + k**3 + 161*k**2/3 - 437*k/6 + 55/2 = 0.
-55, -3, 1
Suppose -36*w**5/5 + 296*w**4/5 - 388*w**3/5 - 576*w**2/5 + 144*w/5 = 0. Calculate w.
-1, 0, 2/9, 3, 6
Factor -4*x**2/7 - 230*x/7 - 108.
-2*(x + 54)*(2*x + 7)/7
Factor -3*i**4 - 35*i**3 - 21*i**2 + 11*i.
-i*(i + 1)*(i + 11)*(3*i - 1)
Solve -3*s**2 + 117*s = 0.
0, 39
Solve -g**4 - 89*g**3 + 379*g**2 + 641*g - 930 = 0.
-93, -2, 1, 5
Let -726*u**2/7 + 472*u/7 + 8/7 = 0. What is u?
-2/121, 2/3
Suppose p**5 + 217*p**4 + 858*p**3 + 1282*p**2 + 853*p + 213 = 0. Calculate p.
-213, -1
Solve -5*w**5/3 - 10*w**4/3 + 60*w**3 - 430*w**2/3 + 385*w/3 - 40 = 0.
-8, 1, 3
Find r, given that -6*r**5/7 + 118*r**4/7 + 320*r**3/7 - 240*r**2/7 - 544*r/7 + 352/7 = 0.
-2, 2/3, 1, 22
Let 2*r**5/5 - 4*r**4 + 12*r**3 - 16*r**2 + 10*r - 12/5 = 0. Calculate r.
1, 6
Solve -2*o**2 - 304*o + 1570 = 0 for o.
-157, 5
Find b, given that 5*b**4 - 125*b**3 - 885*b**2 - 1395*b = 0.
-3, 0, 31
Determine a, given that -4*a**2 - 164*a + 1128 = 0.
-47, 6
Suppose 4*q**2 + 668*q - 672 = 0. What is q?
-168, 1
Factor 4*b**3/5 + 204*b**2/5 - 864*b/5 + 176.
4*(b - 2)**2*(b + 55)/5
Solve i**3/2 - 9*i**2 - 61*i/2 - 21 = 0 for i.
-2, -1, 21
Factor -f**3/2 - 407*f**2 - 1625*f/2 - 406.
-(f + 1)**2*(f + 812)/2
Factor -z**4 + 15*z**3 - 12*z**2 - 28*z.
-z*(z - 14)*(z - 2)*(z + 1)
Let -b**2/2 - 19*b + 132 = 0. Calculate b.
-44, 6
Find z such that 2*z**5/7 - 4*z**4/7 - 32*z**3/7 + 4*z**2/7 + 30*z/7 = 0.
-3, -1, 0, 1, 5
Factor 34*l**2 - 1872*l + 110.
2*(l - 55)*(17*l - 1)
Determine a so that 2*a**3 - 37*a**2 + 49*a + 34 = 0.
-1/2, 2, 17
Factor 2*u**4/9 + 32*u**3/9 + 10*u**2/3.
2*u**2*(u + 1)*(u + 15)/9
Suppose 2*t**3 + 6*t**2 - 36*t = 0. What is t?
-6, 0, 3
Factor 3*y**3 - 156*y**2 - 165*y + 318.
3*(y - 53)*(y - 1)*(y + 2)
Factor 2*z**2 + 244*z + 7442.
2*(z + 61)**2
What is b in -b**2 - 12*b = 0?
-12, 0
Factor 2*m**3 - 122*m**2 + 230*m + 354.
2*(m - 59)*(m - 3)*(m + 1)
Suppose 3*s**3 + 1959*s**2 - 3927*s + 1965 = 0. Calculate s.
-655, 1
Factor -5*h**4 + 5*h**2.
-5*h**2*(h - 1)*(h + 1)
Let -o**5/6 - 4*o**4 - 21*o**3/2 + 2*o**2/3 + 14*o = 0. Calculate o.
-21, -2, 0, 1
Determine g, given that 4*g**4 + 140*g**3 + 384*g**2 - 16*g - 512 = 0.
-32, -2, 1
Factor 2*n**4/3 + 1200*n**3 + 540000*n**2.
2*n**2*(n + 900)**2/3
Factor -2*x**4 + 38*x**2 - 60*x.
-2*x*(x - 3)*(x - 2)*(x + 5)
Suppose 6*x**4/5 - 194*x**3/5 - 554*x**2/5 - 214*x/5 + 28 = 0. Calculate x.
-2, -1, 1/3, 35
Solve -2*m**3/7 + 122*m**2/7 - 2368*m/7 + 14848/7 = 0 for m.
16, 29
Let -3*j**4 - 1317*j**3 - 193158*j**2 - 9528252*j - 9336408 = 0. Calculate j.
-146, -1
Factor 2*v**4/9 - 376*v**3/9 - 758*v**2/9 - 380*v/9.
2*v*(v - 190)*(v + 1)**2/9
Factor 2*l**2/15 - 2*l/3 + 4/5.
2*(l - 3)*(l - 2)/15
Factor -2*s**3/3 + 38*s**2/3 - 66*s + 54.
-2*(s - 9)**2*(s - 1)/3
Solve -2*u**3/3 + 352*u**2/3 + 710*u/3 + 356/3 = 0.
-1, 178
Find v such that 2*v**4/7 - 6*v**3/7 - 22*v**2/7 + 6*v/7 + 20/7 = 0.
-2, -1, 1, 5
Solve 5*s**4/6 - s**3/6 - 65*s**2/6 - 47*s/6 + 2 = 0 for s.
-3, -1, 1/5, 4
Factor 3*v**2 + 96*v + 693.
3*(v + 11)*(v + 21)
What is l in 3*l**4 + 3*l**3 - 81*l**2 - 243*l - 162 = 0?
-3, -1, 6
Find h, given that 7*h**2/9 + 484*h/9 = 0.
-484/7, 0
Let -j**5 - j**4 + 5*j**3 - 3*j**2 = 0. Calculate j.
-3, 0, 1
Factor -2*j**4/21 - 80*j**3/21 - 50*j**2/3.
-2*j**2*(j + 5)*(j + 35)/21
Let 5*u**5 - 105*u**4 + 195*u**3 - 95*u**2 = 0. What is u?
0, 1, 19
Determine n so that -n**3/12 + 5*n**2/3 - 25*n/12 - 125/2 = 0.
-5, 10, 15
Factor -n**2/5 - 62*n - 309/5.
-(n + 1)*(n + 309)/5
Let 10*o**3 + 83*o**2 + 174*o + 45 = 0. Calculate o.
-5, -3, -3/10
Factor -2*d**4/17 + 8*d**3/17 - 12*d**2/17 + 8*d/17 - 2/17.
-2*(d - 1)**4/17
What is p in -5*p**3 - 1175*p**2 + 2365*p - 1185 = 0?
-237, 1
Let -4*l**5/3 - 12*l**4 - 100*l**3/3 - 36*l**2 - 40*l/3 = 0. Calculate l.
-5, -2, -1, 0
Determine q so that -2*q**2 + 44*q + 96 = 0.
-2, 24
Factor 5*s**4/4 + 5*s**3/4 - 5*s**2 - 5*s.
5*s*(s - 2)*(s + 1)*(s + 2)/4
Factor a**4/7 + 62*a**3/7 - 9*a**2.
a**2*(a - 1)*(a + 63)/7
Determine z so that 2*z**5/23 + 72*z**4/23 - 496*z**3/23 + 348*z**2/23 + 494*z/23 - 420/23 = 0.
-42, -1, 1, 5
Find j, given that -2*j**3/3 + 32*j**2/9 + 182*j/9 + 16 = 0.
-8/3, -1, 9
Factor 3*x**2/7 - 27*x/7 - 108/7.
3*(x - 12)*(x + 3)/7
Let 10*p**4/7 + 18*p**3 + 368*p**2/7 - 24*p = 0. What is p?
-7, -6, 0, 2/5
Solve -2*j**4/3 - 11*j**3 + 56*j**2/3 + 11*j - 18 = 0.
-18, -1, 1, 3/2
Find h, given that h**2/4 + 19*h/4 - 30 = 0.
-24, 5
Suppose -3*z**4 - 3726*z**3 + 9*z**2 + 11184*z + 7452 = 0. What is z?
-1242, -1, 2
Solve -11*c**2/6 + 2229*c + 1216/3 = 0.
-2/11, 1216
Find s such that 3*s**3 - 87*s**2 + 792*s - 2160 = 0.
5, 12
Solve 3*a**5/4 - 18*a**4 + 135*a**3/4 - 33*a**2/2 = 0.
0, 1, 22
Let -45*c**5 + 24