- 200*b + 205.
-5*(b - 1)*(b + 41)
Factor -n**3/2 - 10*n**2 - 41*n/2 + 85.
-(n - 2)*(n + 5)*(n + 17)/2
Suppose 338*i**2 + 936*i + 648 = 0. What is i?
-18/13
Suppose 4*c**3/3 - 20*c**2/3 - 16*c/3 + 80/3 = 0. What is c?
-2, 2, 5
Determine l so that 4*l**4 + 64*l**3 - 1584*l**2 + 2880*l = 0.
-30, 0, 2, 12
Suppose -5*j**5 - 115*j**4 - 305*j**3 - 85*j**2 + 310*j + 200 = 0. What is j?
-20, -2, -1, 1
Suppose 3*r**5 + 15*r**4/2 - 33*r**3/2 + 6*r**2 = 0. Calculate r.
-4, 0, 1/2, 1
Factor -12*f**3 - 224*f**2 - 1116*f - 648.
-4*(f + 9)**2*(3*f + 2)
Determine p, given that -3*p**3/7 - 12*p**2/7 - 9*p/7 = 0.
-3, -1, 0
Factor -5*f**2 - 2900*f - 11520.
-5*(f + 4)*(f + 576)
Let 3*p**2/8 - 15*p/8 - 21/4 = 0. What is p?
-2, 7
Suppose 4*i**3/5 - 5812*i**2/5 = 0. What is i?
0, 1453
Factor -3*o**3 + 207*o**2 - 2142*o - 2352.
-3*(o - 56)*(o - 14)*(o + 1)
Factor 4*p**2 - 204*p.
4*p*(p - 51)
Factor 3*j**2/2 + 57*j/2 + 51.
3*(j + 2)*(j + 17)/2
Factor -2*f**4/13 - 8*f**3/13 + 32*f/13 + 32/13.
-2*(f - 2)*(f + 2)**3/13
Find n such that 3*n**2/5 - 177*n/5 + 174/5 = 0.
1, 58
Solve 4*u**4/13 - 266*u**3/13 - 136*u**2/13 + 134*u/13 = 0.
-1, 0, 1/2, 67
Factor 2*n**2/5 - 24*n.
2*n*(n - 60)/5
Let -2*q**2/5 + 104*q/5 + 448/5 = 0. What is q?
-4, 56
Let 3*d**4/7 + 96*d**3/7 + 162*d**2 + 5832*d/7 + 10935/7 = 0. What is d?
-9, -5
Solve j**3/3 + 32*j**2/3 + 197*j/3 - 230/3 = 0 for j.
-23, -10, 1
Suppose 2*b**2 - 48*b + 256 = 0. Calculate b.
8, 16
Let -15*z**3 - 220*z**2 + 315*z - 80 = 0. What is z?
-16, 1/3, 1
Solve -3*h**2 - 27*h + 1326 = 0.
-26, 17
Let 3*p**2/5 + 291*p/5 = 0. Calculate p.
-97, 0
What is k in 2*k**2 - 160*k - 162 = 0?
-1, 81
Find q such that -4*q**2 + 8*q + 12 = 0.
-1, 3
What is y in 3*y**3/4 + 111*y**2/4 = 0?
-37, 0
Suppose -4*s**4 + 56*s**3 - 68*s**2 - 320*s - 192 = 0. What is s?
-1, 4, 12
Factor -4*a**3 + 160*a**2 + 164*a.
-4*a*(a - 41)*(a + 1)
Suppose o**4/4 + 6*o**3 + 19*o**2/4 - 24*o - 23 = 0. What is o?
-23, -2, -1, 2
What is a in -2*a**2 + 208*a - 5408 = 0?
52
Let 5*q**5 - 40*q**4 - 870*q**3 - 3200*q**2 - 2375*q = 0. Calculate q.
-5, -1, 0, 19
Solve 32*j**3 + 110*j**2 - 72*j = 0 for j.
-4, 0, 9/16
Factor 2*c**3 - 238*c**2 + 7198*c - 6962.
2*(c - 59)**2*(c - 1)
Solve 4*n**3/11 + 14*n**2 + 844*n/11 + 384/11 = 0.
-32, -6, -1/2
Factor -j**4 - 11*j**3/2 - 6*j**2 + 9*j/2.
-j*(j + 3)**2*(2*j - 1)/2
Let x**2 - 19*x + 34 = 0. What is x?
2, 17
What is z in -6*z**5/5 - 2*z**4/5 + 2*z**3 + 2*z**2/5 - 4*z/5 = 0?
-1, 0, 2/3, 1
Let -8*v**5 + 10*v**4 + 14*v**3 - 4*v**2 = 0. What is v?
-1, 0, 1/4, 2
Solve -j**2 - 800*j - 160000 = 0.
-400
Let 3*o**3/8 - 51*o**2/4 - 213*o/8 - 27/2 = 0. Calculate o.
-1, 36
Let a**5/4 + 11*a**4/4 + 13*a**3/2 + 4*a**2 = 0. What is a?
-8, -2, -1, 0
Factor 6*n**2/7 + 1653*n/7 - 828/7.
3*(n + 276)*(2*n - 1)/7
Let 5*o**3 - 290*o**2 - 5*o + 290 = 0. What is o?
-1, 1, 58
Solve 4*c**5 - 28*c**4 + 12*c**3 + 76*c**2 - 16*c - 48 = 0 for c.
-1, 1, 2, 6
Factor -32*c**3 - 92*c**2 - 88*c - 28.
-4*(c + 1)**2*(8*c + 7)
Determine o so that o**4/7 - 32*o**3/7 + 192*o**2/7 = 0.
0, 8, 24
Suppose -3*q**3 - 108*q**2 + 471*q - 360 = 0. Calculate q.
-40, 1, 3
Factor -3*o**3 + 47*o**2 - 108*o + 52.
-(o - 13)*(o - 2)*(3*o - 2)
Factor -p**2 + 580*p - 84100.
-(p - 290)**2
Determine k, given that -2*k**2/5 - 8*k/5 - 8/5 = 0.
-2
Factor 2*f**2/9 - 476*f/9 + 158/3.
2*(f - 237)*(f - 1)/9
Factor 2*k**4/9 + 92*k**3/9 + 454*k**2/3 + 6992*k/9 + 11552/9.
2*(k + 4)**2*(k + 19)**2/9
Solve 2*s**4/13 + 62*s**3/13 + 548*s**2/13 + 1512*s/13 + 1296/13 = 0.
-18, -9, -2
Determine o so that 28*o**5 - 17004*o**4 - 12168*o**3 + 4864*o**2 = 0.
-1, 0, 2/7, 608
Determine c so that -2*c**2/5 + 972*c/5 = 0.
0, 486
Let -k**4 - 4*k**3 + 283*k**2 + 574*k + 288 = 0. Calculate k.
-18, -1, 16
Determine c, given that 3*c**2/7 - 16536*c/7 + 22786608/7 = 0.
2756
Determine k, given that -5*k**2 + 775*k + 780 = 0.
-1, 156
Solve -o**4/5 - 21*o**3 - 2703*o**2/5 + 2809*o/5 = 0 for o.
-53, 0, 1
Factor -n**4 + 53*n**3/2 - 182*n**2 + 169*n/2.
-n*(n - 13)**2*(2*n - 1)/2
Solve 2*s**4 - 26*s**3 + 82*s**2 - 94*s + 36 = 0.
1, 2, 9
Determine g, given that -g**2/4 + 15*g/4 - 7/2 = 0.
1, 14
Factor -3*d**3 + 6*d**2 + 9*d.
-3*d*(d - 3)*(d + 1)
Find r such that -3*r**4 - 6*r**3 + 684*r**2 + 3480*r - 9600 = 0.
-10, 2, 16
Factor -2*j**3/21 + 2*j**2/21 + 52*j/21 + 16/7.
-2*(j - 6)*(j + 1)*(j + 4)/21
Find r such that 2*r**4 - 1567*r**3 + 2347*r**2 - 782*r = 0.
0, 1/2, 1, 782
Determine v, given that v**4/4 - 2*v**3 + 3*v**2/4 + 8*v - 7 = 0.
-2, 1, 2, 7
Let 2*u**2 + 6*u = 0. What is u?
-3, 0
Factor 2*w**3/9 - 6080*w**2/9 - 6082*w/9.
2*w*(w - 3041)*(w + 1)/9
Find p such that -p**3 - 283*p**2 = 0.
-283, 0
Find o such that 4*o**5 + 512*o**4 + 16384*o**3 = 0.
-64, 0
Find i such that 27*i**2 + 966*i - 216 = 0.
-36, 2/9
Factor -2*f**2 - 55*f/2 + 7.
-(f + 14)*(4*f - 1)/2
Solve -5*x**5 + 235*x**4 - 2845*x**3 + 1265*x**2 + 15870*x = 0.
-2, 0, 3, 23
Factor 9*n**4 + 78*n**3 + 45*n**2 - 24*n.
3*n*(n + 1)*(n + 8)*(3*n - 1)
Factor 2*q**3 - 2536*q**2 - 2538*q.
2*q*(q - 1269)*(q + 1)
Suppose -4*l**2/5 - 4*l/5 = 0. Calculate l.
-1, 0
Suppose 9*v**5 - 11*v**4 - 43*v**3 - 17*v**2 + 6*v = 0. What is v?
-1, 0, 2/9, 3
Find h, given that -3*h**3/7 - 24*h**2 + 345*h/7 - 174/7 = 0.
-58, 1
Let -2*c**5/19 + 18*c**4/19 - 14*c**3/19 - 18*c**2/19 + 16*c/19 = 0. Calculate c.
-1, 0, 1, 8
Find a such that -12*a**4/7 - 32*a**3 - 1116*a**2/7 - 648*a/7 = 0.
-9, -2/3, 0
Factor -3*y**2 + 42*y.
-3*y*(y - 14)
Suppose -2*o**2/13 + 2902*o/13 + 2904/13 = 0. What is o?
-1, 1452
Factor -3*r**5/2 + 6*r**4 - 9*r**3 + 6*r**2 - 3*r/2.
-3*r*(r - 1)**4/2
Solve 2*g**3 - 72*g**2 - 810*g = 0.
-9, 0, 45
What is g in 4*g**3 - 732*g + 728 = 0?
-14, 1, 13
Factor -d**4/7 - 2844*d**3/7 - 2019238*d**2/7 + 4047012*d/7 - 2024929/7.
-(d - 1)**2*(d + 1423)**2/7
Solve g**3/5 + 78*g**2/5 + 127*g + 966/5 = 0 for g.
-69, -7, -2
Factor 3*f**2 - 516*f + 22188.
3*(f - 86)**2
Factor 2*z**2/3 + 98*z/3 + 32.
2*(z + 1)*(z + 48)/3
Factor -3*x**3/4 + 15*x**2/4 + 3*x/4 - 15/4.
-3*(x - 5)*(x - 1)*(x + 1)/4
Suppose 4*m**3/3 - 52*m**2/3 - 72*m + 480 = 0. Calculate m.
-6, 4, 15
Factor -p**4 - 29*p**3 + 96*p**2.
-p**2*(p - 3)*(p + 32)
Determine h so that -2*h**2/3 + 8*h/3 + 8 = 0.
-2, 6
Factor 5*o**3 + 215*o**2 + 2200*o - 2420.
5*(o - 1)*(o + 22)**2
Let -2*k**3 + 218*k**2/3 - 160*k + 136/3 = 0. What is k?
1/3, 2, 34
What is j in -5*j**5/3 - 4*j**4 + 16*j**3/3 + 16*j**2 + 16*j/3 = 0?
-2, -2/5, 0, 2
Factor b**4/4 - 5*b**3/2 - 26*b**2 - 123*b/2 - 153/4.
(b - 17)*(b + 1)*(b + 3)**2/4
Suppose 4*a**4/5 + 8*a**3 - 92*a**2/5 + 48*a/5 = 0. Calculate a.
-12, 0, 1
Find o such that -2*o**5 + 62*o**4 - 734*o**3 + 4034*o**2 - 9632*o + 6272 = 0.
1, 7, 8
Find t, given that -33*t**4/7 - 303*t**3/7 - 3*t**2 + 303*t/7 + 54/7 = 0.
-9, -1, -2/11, 1
Factor 5*x**3 + 35*x**2 - 50*x - 80.
5*(x - 2)*(x + 1)*(x + 8)
Let -12*q**4/7 - 3*q**3 - 9*q**2/7 = 0. What is q?
-1, -3/4, 0
Factor 5*t**3 - 35*t**2 - 130*t + 360.
5*(t - 9)*(t - 2)*(t + 4)
Determine c so that 5*c**4/3 - 70*c**3 + 915*c**2 - 3780*c + 4860 = 0.
3, 18
Factor -3*x**4/7 - 78*x**3/7 + 576*x**2/7.
-3*x**2*(x - 6)*(x + 32)/7
Factor -2*v**4 - 44*v**3 - 258*v**2 - 216*v.
-2*v*(v + 1)*(v + 9)*(v + 12)
Factor 26*n**3/11 - 124*n**2/11 + 170*n/11 - 72/11.
2*(n - 1)**2*(13*n - 36)/11
Factor 2*t**4/7 + 10*t**3/7 - 12*t**2/7.
2*t**2*(t - 1)*(t + 6)/7
Factor -z**2/2 + 15*z/2.
-z*(z - 15)/2
Factor -4*i**4 - 24*i**3 + 12*i**2 + 224*i + 192.
-4*(i - 3)*(i + 1)*(i + 4)**2
Factor -4*k**3/3 - 28*k**2 + 60*k - 92/3.
-4*(k - 1)**2*(k + 23)/3
Factor 7*x**3 + 61*x**2 - 18*x.
x*(x + 9)*(7*x - 2)
Let -8*u**4/9 + 14*u**3/9 + 28*u**2/9 + 2*u/3 = 0. What is u?
-1, -1/4, 0, 3
Factor -10*o**3 - 4705*o**2 + 2360*o + 2355.
-5*(o - 1)*(o + 471)*(2*o + 1)
Factor 5*c**3/3 + 19210*c**2/3 + 18451205*c/3.
5*c*(c + 1921)**2/3
Factor 5*v**4 - 60*v**3 + 180*v**2 - 160*v.
5*v*(v - 8)*(v - 2)**2
Factor 2*s**2/7 - 36*s/7 + 64/7.
2*(s - 16)*(s - 2)/7
Factor 2*n**2 + 64*n - 1536.
2*(n - 16)*(n + 48)
Factor 5*t**3 - 25*t**2 + 30*t.
5*t*(t - 3)*(t - 2)
Factor 225*a**3 + 510*a**2 + 124*a + 8.
(a + 2)*(15*a + 2)**2
Factor -2*d**4/9 + 938*d**3/9 - 111374*d**2/9 + 108578*d/3.
-2*d*(d - 233)**2*(d - 3)/9
Find x, given that 20*x**2 + 6448*x - 3876 = 0.
-323, 3/5
Factor 2*x**4/3 - 22*x**3/3 - 134*x**2 - 126*x.
2*x*(x - 21)*(x + 