7 - 252/17.
2*(y - 14)*(y - 3)**2/17
Factor 4*i**5 - 11*i**4 - 39*i**3 - 29*i**2 - 5*i.
i*(i - 5)*(i + 1)**2*(4*i + 1)
Factor -f**2/3 - 150*f + 3664/3.
-(f - 8)*(f + 458)/3
Factor 3*g**4/8 - 81*g**3/8 + 75*g**2/4.
3*g**2*(g - 25)*(g - 2)/8
Solve 2*u**3/5 - 12*u**2/5 + 18*u/5 - 8/5 = 0.
1, 4
Factor -x**5/3 - 8*x**4/3 - 7*x**3/3.
-x**3*(x + 1)*(x + 7)/3
What is h in -5*h**5 + 70*h**4 - 335*h**3 + 730*h**2 - 740*h + 280 = 0?
1, 2, 7
Solve p**4/8 + 23*p**3/4 + 60*p**2 - 144*p = 0 for p.
-24, 0, 2
Factor 2*j**2/3 + 130*j/3.
2*j*(j + 65)/3
Let -j**5 + 360*j**4 + 724*j**3 + 2*j**2 - 723*j - 362 = 0. What is j?
-1, 1, 362
Solve t**2 - 187*t + 186 = 0 for t.
1, 186
Factor t**2/5 + 1304*t/5 + 425104/5.
(t + 652)**2/5
Find r, given that 3*r**3/8 - 129*r**2/4 + 5547*r/8 = 0.
0, 43
Factor 5*i**3/3 + 95*i**2/3 + 80*i.
5*i*(i + 3)*(i + 16)/3
Find p, given that -3*p**3 + 63*p**2 - 60*p = 0.
0, 1, 20
Solve -o**4 - 14*o**3 - 56*o**2 - 34*o + 105 = 0 for o.
-7, -5, -3, 1
What is m in 4*m**3 + 40*m**2 - 92*m + 48 = 0?
-12, 1
Suppose 6*q**2/5 - 103*q/5 - 18 = 0. Calculate q.
-5/6, 18
Determine g, given that -3*g**5 + 54*g**4 - 237*g**3 - 54*g**2 + 240*g = 0.
-1, 0, 1, 8, 10
Suppose 22*x**5/7 - 304*x**4/7 + 736*x**3/7 - 604*x**2/7 + 106*x/7 + 44/7 = 0. Calculate x.
-2/11, 1, 11
Factor -3*d**3 - 396*d**2 - 13068*d.
-3*d*(d + 66)**2
Suppose 7*u**5/6 - 653*u**4/6 + 7814*u**3/3 - 8968*u**2/3 - 12880*u/3 + 4232/3 = 0. Calculate u.
-1, 2/7, 2, 46
Find l such that -l**3/2 + 4*l**2 + 101*l/2 - 234 = 0.
-9, 4, 13
Factor -4*h**2 - 1104*h + 5620.
-4*(h - 5)*(h + 281)
Find l such that l**3 + 6*l**2 - 16*l = 0.
-8, 0, 2
Let b**4 - 9*b**3 + 15*b**2 - 7*b = 0. Calculate b.
0, 1, 7
Factor 3*p**3 - 3*p**2 - 12*p + 12.
3*(p - 2)*(p - 1)*(p + 2)
Let 2*u**5 - 12*u**4 - 12*u**3 + 56*u**2 + 90*u + 36 = 0. Calculate u.
-1, 3, 6
Solve 3*i**3 + i**2 - 2*i = 0 for i.
-1, 0, 2/3
Let 128*g**5 + 224*g**4 - 648*g**3 - 550*g**2 - 142*g - 12 = 0. Calculate g.
-3, -1/4, 2
Let -2*x**4 - 58*x**3 - 162*x**2 - 158*x - 52 = 0. Calculate x.
-26, -1
Factor 2*n**4/5 - 6*n**3 + 148*n**2/5 - 264*n/5 + 144/5.
2*(n - 6)**2*(n - 2)*(n - 1)/5
Find j such that -j**2 + 58*j + 59 = 0.
-1, 59
Factor -4*s**2/5 + 944*s/5 + 948/5.
-4*(s - 237)*(s + 1)/5
Factor m**2/5 + 7446*m/5 + 13860729/5.
(m + 3723)**2/5
Suppose -y**2 + 4 = 0. What is y?
-2, 2
Solve 2*r**4 + 14*r**3 + 12*r**2 - 64*r - 64 = 0 for r.
-4, -1, 2
Determine u so that u**2/2 + 645*u + 416025/2 = 0.
-645
Solve -7*r**5 + 4*r**4 + 21*r**3 - 26*r**2 + 8*r = 0 for r.
-2, 0, 4/7, 1
Solve 2*u**3/17 - 12*u**2/17 = 0.
0, 6
Factor 2*h**2 - 554*h + 1100.
2*(h - 275)*(h - 2)
Solve -3*k**5/2 - 9*k**4/4 + 3*k**2/4 = 0.
-1, 0, 1/2
Factor -250*b**3 + 185*b**2 - 168*b/5 + 9/5.
-(2*b - 1)*(25*b - 3)**2/5
Factor 3*r**4/7 + 27*r**3/7 - 144*r**2/7 - 192*r.
3*r*(r - 7)*(r + 8)**2/7
Factor 4*n**5 - 1748*n**4 - 3508*n**3 - 1756*n**2.
4*n**2*(n - 439)*(n + 1)**2
Factor 4*o**3 - 536*o**2 + 7808*o - 30208.
4*(o - 118)*(o - 8)**2
Factor -4*f**2 + 544*f - 3612.
-4*(f - 129)*(f - 7)
Factor -d**2 - 28*d - 27.
-(d + 1)*(d + 27)
Factor 36*d**3 + 1648*d**2 - 368*d.
4*d*(d + 46)*(9*d - 2)
Factor 3*v**2/4 + 123*v/4 + 30.
3*(v + 1)*(v + 40)/4
Factor 35*x**4 - 25*x**3 - 220*x**2 - 60*x.
5*x*(x - 3)*(x + 2)*(7*x + 2)
Factor -33*s**3/8 + 6*s**2 + 3*s/8 - 9/4.
-3*(s - 1)**2*(11*s + 6)/8
What is a in -3*a**5 - 24*a**4 + 102*a**3 + 24*a**2 - 99*a = 0?
-11, -1, 0, 1, 3
Suppose -d**2 - 22*d - 121 = 0. What is d?
-11
Factor -2*m**4/5 - 8*m**3 - 252*m**2/5 - 392*m/5 + 686/5.
-2*(m - 1)*(m + 7)**3/5
Factor -o**4 - 13*o**3 - 37*o**2 + 105*o + 450.
-(o - 3)*(o + 5)**2*(o + 6)
Factor 2*b**2/9 + 16*b/3 + 32.
2*(b + 12)**2/9
Find c such that -4*c**2 - 108*c + 792 = 0.
-33, 6
Factor -2*l**3/5 + 6*l**2 - 24*l/5 - 56/5.
-2*(l - 14)*(l - 2)*(l + 1)/5
Factor 4*u**5/5 - 30*u**4 - 234*u**3/5.
2*u**3*(u - 39)*(2*u + 3)/5
Let -4*b**3/7 + 68*b**2/7 + 16*b/7 - 272/7 = 0. What is b?
-2, 2, 17
Factor 5*s**2 - 20*s.
5*s*(s - 4)
Determine j, given that 2*j**4 + 2*j**3 - 32*j**2 + 40*j = 0.
-5, 0, 2
Factor -4*z**5 + 4*z**4 + 8*z**3 - 8*z**2 - 4*z + 4.
-4*(z - 1)**3*(z + 1)**2
Factor 2*r**3/11 + 10*r**2/11 - 28*r/11.
2*r*(r - 2)*(r + 7)/11
Determine z, given that -1587*z**2/7 + 414*z - 189 = 0.
21/23
Solve n**2/8 - 651*n - 5209/8 = 0 for n.
-1, 5209
Suppose -4*i**4 + 44*i**3 - 180*i**2 + 324*i - 216 = 0. What is i?
2, 3
Factor 3*t**4 - 42*t**3 - 93*t**2 - 48*t.
3*t*(t - 16)*(t + 1)**2
Suppose -3*k**5/4 - 3*k**4/2 + 75*k**3/4 + 3*k**2/2 - 18*k = 0. What is k?
-6, -1, 0, 1, 4
Factor -2*b**3/9 + 2*b**2/3 + 2*b/9 - 2/3.
-2*(b - 3)*(b - 1)*(b + 1)/9
Factor 4*t**2/5 + 12*t/5 - 8.
4*(t - 2)*(t + 5)/5
Find i such that -18*i**4/5 - 78*i**3/5 - 66*i**2/5 + 6*i + 36/5 = 0.
-3, -1, 2/3
Find r, given that 3*r**2 + 2316*r + 446988 = 0.
-386
Find q, given that 2*q**3 - 42*q + 40 = 0.
-5, 1, 4
Factor v**3 + 18*v**2 + 45*v.
v*(v + 3)*(v + 15)
Factor 7*i**2/2 - 55*i/2 + 21.
(i - 7)*(7*i - 6)/2
Determine d so that -d**4 + 20*d**3 = 0.
0, 20
Determine l, given that 3*l**2/8 - 33*l + 261/8 = 0.
1, 87
Factor 15*u**3 - 101*u**2/3 + 6*u + 8/3.
(u - 2)*(5*u + 1)*(9*u - 4)/3
Factor -5*n**3 - 835*n**2 + 5*n + 835.
-5*(n - 1)*(n + 1)*(n + 167)
Let -36*g**4 + 17088*g**3 - 2033464*g**2 + 1349952*g - 224676 = 0. What is g?
1/3, 237
Determine r so that -2*r**2/3 - 20*r/3 + 306 = 0.
-27, 17
Solve 2*c**4/7 + 3296*c**3/7 + 6586*c**2/7 + 3292*c/7 = 0.
-1646, -1, 0
Factor u**4 - 4*u**3 - 19*u**2 - 14*u.
u*(u - 7)*(u + 1)*(u + 2)
Factor -q**5/5 - 2*q**4 - 36*q**3/5 - 54*q**2/5 - 27*q/5.
-q*(q + 1)*(q + 3)**3/5
Find q, given that 56*q**5/5 + 4604*q**4/5 + 9992*q**3/5 + 5756*q**2/5 - 328*q/5 - 128 = 0.
-80, -1, -1/2, 2/7
Determine x so that -3*x**4 - 6*x**3 + 3*x**2 + 6*x = 0.
-2, -1, 0, 1
What is x in 2*x**4/11 + 320*x**3/11 = 0?
-160, 0
What is g in -16*g**3 - 116*g**2 + 100*g + 32 = 0?
-8, -1/4, 1
Factor 4*g**2/3 - 3584*g/3 + 802816/3.
4*(g - 448)**2/3
Let 5*l**5 - 30*l**4 + 45*l**3 = 0. What is l?
0, 3
Factor -8*o**3 + 2662*o**2 - 4630*o - 1324.
-2*(o - 331)*(o - 2)*(4*o + 1)
Determine r so that -5*r**5 - 240*r**4 - 4085*r**3 - 28830*r**2 - 73580*r - 60840 = 0.
-18, -13, -2
Suppose 4*k**2 - 2358*k + 1178 = 0. Calculate k.
1/2, 589
Factor 4*p**3 - 88*p**2 + 576*p - 1152.
4*(p - 12)*(p - 6)*(p - 4)
Factor -3*l**4/5 + 27*l**3/5 + 72*l**2 - 660*l.
-3*l*(l - 10)**2*(l + 11)/5
Let -3*c**5 - 84*c**4 - 735*c**3 - 2094*c**2 - 2304*c - 864 = 0. What is c?
-12, -2, -1
Factor -3*c**3 - 36*c**2 - 144*c - 192.
-3*(c + 4)**3
Let 33*w**2 - 4170*w/7 + 216/7 = 0. What is w?
4/77, 18
Solve -4*a**5 + 3864*a**4 + 8*a**3 - 7728*a**2 - 4*a + 3864 = 0.
-1, 1, 966
Factor -2*v**4 + 24*v**3 - 70*v**2 - 24*v + 72.
-2*(v - 6)**2*(v - 1)*(v + 1)
Find i, given that 2*i**2 - 14*i - 60 = 0.
-3, 10
Determine c, given that -c**4/2 - 50*c**3 - 1875*c**2 - 31250*c - 390625/2 = 0.
-25
Factor 3*m**3/5 - 309*m**2/5 + 8109*m/5 - 7803/5.
3*(m - 51)**2*(m - 1)/5
Factor -2*z**2/11 - 108*z/11 - 1458/11.
-2*(z + 27)**2/11
What is l in -2*l**5 + 106*l**4 + 114*l**3 - 322*l**2 - 112*l + 216 = 0?
-2, -1, 1, 54
Factor -370*c**2 - 365*c + 5.
-5*(c + 1)*(74*c - 1)
Factor 2*s**2/9 - 38*s/3 + 784/9.
2*(s - 49)*(s - 8)/9
Let 18*i**4/17 + 82*i**3/17 + 104*i**2/17 + 8*i/17 - 32/17 = 0. What is i?
-2, -1, 4/9
Find f, given that -4*f**3 - 52*f**2 + 4*f + 52 = 0.
-13, -1, 1
Suppose 2*q**3/3 + 3*q**2 - 9 = 0. Calculate q.
-3, 3/2
Let j**3/5 + 7*j**2 - 253*j/5 - 287/5 = 0. Calculate j.
-41, -1, 7
Solve -k**2 - 12*k + 13 = 0.
-13, 1
Let -36*j**3 - 3968*j**2 - 880*j = 0. Calculate j.
-110, -2/9, 0
Factor -h**3/2 - 95*h**2 - 757*h/8 - 189/8.
-(h + 189)*(2*h + 1)**2/8
Let -2*j**2 - 164*j = 0. Calculate j.
-82, 0
Solve -4*o**4 + 76*o**3 - 72*o**2 - 3456*o + 3456 = 0.
-6, 1, 12
Solve 18*f**3 + 1191*f**2 + 2502*f + 384 = 0.
-64, -2, -1/6
Solve -2*v**2/9 - 40*v/9 - 128/9 = 0.
-16, -4
What is j in -8*j**2/3 + 38*j/3 + 10/3 = 0?
-1/4, 5
Solve -2*m**3 - 2574*m**2 - 1104246*m - 157907178 = 0.
-429
Find k such that 4*k**2 - 3184*k + 3180 = 0.
1, 795
Solve 80*i**5 + 680*i**4 + 1485*i**3 + 325*i**2 - 485*i + 75 = 0 for i.
-5, -3, -1, 1/4
Factor 4*p**4 + 68*p**3 + 40*p**2 - 384*p.
4*p*(p - 2)*(p + 3)*(p + 16)
Find c such that 5*c**5/3 - 20*c**4/3 - 50*c**3/3 + 140*c**2/3 - 25*c = 0.
-3, 0, 1, 5
Factor 2*p**4/7 + 22*p**3/7 + 18*p**