
What is b in -5*b**2 + 67160*b - 225523280 = 0?
6716
Factor n**3/5 + 13*n**2/5 - n/5 - 13/5.
(n - 1)*(n + 1)*(n + 13)/5
Factor 3*q**4 - 51*q**3 + 234*q**2 - 420*q + 264.
3*(q - 11)*(q - 2)**3
Factor -2*f**2/3 + 11*f + 17/3.
-(f - 17)*(2*f + 1)/3
Factor -15*w**4 + 1644*w**3 + 660*w**2.
-3*w**2*(w - 110)*(5*w + 2)
Factor -2*k**2/7 + 2*k - 24/7.
-2*(k - 4)*(k - 3)/7
Suppose -15*q**4 - 580*q**3 + 1425*q**2 - 410*q = 0. Calculate q.
-41, 0, 1/3, 2
Factor -l**3/4 - 21*l**2 - 83*l/4.
-l*(l + 1)*(l + 83)/4
Solve 2*r**4/17 - 2*r**3/17 - 14*r**2/17 + 26*r/17 - 12/17 = 0.
-3, 1, 2
Factor -3*k**2/8 + 139*k/4 + 93/8.
-(k - 93)*(3*k + 1)/8
Determine p, given that 28*p**3 + 16*p**2 = 0.
-4/7, 0
Factor -u**2/4 + 17*u/4 + 9/2.
-(u - 18)*(u + 1)/4
What is f in f**4/2 - 46*f**3 + 312*f**2 + 37816*f + 74008 = 0?
-22, -2, 58
Find d such that 8*d**3 + 378*d**2 + 448*d - 552 = 0.
-46, -2, 3/4
What is t in -70*t**5 + 648*t**4 - 718*t**3 + 108*t**2 + 32*t = 0?
-1/7, 0, 2/5, 1, 8
Solve 2*h**4 - 12*h**3 + 64*h = 0.
-2, 0, 4
Find h such that -2*h**2 + 3648*h + 3650 = 0.
-1, 1825
Factor -5*s**3 + 70*s**2 + 5*s - 70.
-5*(s - 14)*(s - 1)*(s + 1)
Suppose -3*r**5 + 18*r**4 - 33*r**3 + 18*r**2 = 0. What is r?
0, 1, 2, 3
What is w in w**5 + 5*w**4 - 39*w**3 - 137*w**2 - 142*w - 48 = 0?
-8, -1, 6
Determine f, given that -3*f**3 + 4284*f**2 - 2039184*f + 323550528 = 0.
476
Find n such that -3*n**3 + 813*n**2 + 4959*n + 7479 = 0.
-3, 277
Solve -z**2/3 - 38*z/3 - 325/3 = 0 for z.
-25, -13
Factor 150*f**2/17 - 1796*f/17 - 48/17.
2*(f - 12)*(75*f + 2)/17
Factor -r**4/2 + 2*r**3 + r**2 - 6*r - 9/2.
-(r - 3)**2*(r + 1)**2/2
Let 2*v**5/3 + 14*v**4/9 - 70*v**3/3 + 50*v**2 - 356*v/9 + 32/3 = 0. Calculate v.
-8, 2/3, 1, 3
Factor -b**3/4 + 47*b**2/4 - 575*b/4 + 529/4.
-(b - 23)**2*(b - 1)/4
Suppose 4*d**2 + 144*d - 468 = 0. What is d?
-39, 3
Suppose -2*g**2 + 68*g = 0. Calculate g.
0, 34
Factor -9*d**2/4 - 2001*d/4 + 669/2.
-3*(d + 223)*(3*d - 2)/4
Suppose -y**5 + 79*y**4 + 80*y**3 = 0. Calculate y.
-1, 0, 80
Let -5*z**5 + 530*z**4 - 3525*z**3 + 5920*z**2 + 2060*z - 7920 = 0. What is z?
-1, 2, 4, 99
Solve 4*o**2 - 168*o + 320 = 0 for o.
2, 40
What is s in s**2/2 - 7*s/2 + 3 = 0?
1, 6
Factor -3*w**2 - 132*w.
-3*w*(w + 44)
Factor 5*s**2 + 775*s + 770.
5*(s + 1)*(s + 154)
Find p such that -p**3/4 + 11*p**2/4 - 5*p/2 = 0.
0, 1, 10
Solve -2*f**4/5 - 18*f**3/5 - 54*f**2/5 - 62*f/5 - 24/5 = 0.
-4, -3, -1
Suppose -2*x**4/3 + 8728*x**3/3 - 4761124*x**2 + 10388772568*x/3 - 2833537717922/3 = 0. Calculate x.
1091
Let -3*a**2 + 128*a + 43 = 0. Calculate a.
-1/3, 43
Let -2*s**4/11 + 92*s**3/11 + 288*s**2/11 + 292*s/11 + 98/11 = 0. What is s?
-1, 49
Let i**2 - 672*i + 112896 = 0. What is i?
336
Let -4*t**3/7 + 40*t**2/7 + 44*t/7 = 0. Calculate t.
-1, 0, 11
Solve -2*g**5 + 8*g**4 + 10*g**3 = 0 for g.
-1, 0, 5
Factor 5*h**3 - 705*h**2 - 1425*h - 715.
5*(h - 143)*(h + 1)**2
Factor 4*w**4 - 80*w**3 + 212*w**2 + 680*w + 384.
4*(w - 16)*(w - 6)*(w + 1)**2
Suppose 16*i**5 + 4*i**4 - 14*i**3 - 6*i**2 = 0. Calculate i.
-3/4, -1/2, 0, 1
Factor j**4/5 - 28*j**3/5 + 293*j**2/5 - 1358*j/5 + 2352/5.
(j - 8)*(j - 7)**2*(j - 6)/5
Let -5*w**5 + 35*w**4 - 35*w**3 - 75*w**2 = 0. Calculate w.
-1, 0, 3, 5
Find z, given that 2*z**5/9 - 2*z**4/9 - 2*z**3/3 + 2*z**2/9 + 4*z/9 = 0.
-1, 0, 1, 2
Suppose 2*t**5/9 + 10*t**4/3 + 92*t**3/9 - 64*t**2/3 - 256*t/9 = 0. What is t?
-8, -1, 0, 2
Let q**5 + 2*q**4 - 18*q**3 - 68*q**2 - 79*q - 30 = 0. What is q?
-3, -2, -1, 5
Find m, given that -482*m**2/3 + 490*m/3 - 8/3 = 0.
4/241, 1
Suppose -2*d**5 + 14*d**4 + 24*d**3 - 56*d**2 - 64*d = 0. Calculate d.
-2, -1, 0, 2, 8
Factor 2*u**5/5 + 20*u**4 + 192*u**3/5.
2*u**3*(u + 2)*(u + 48)/5
Suppose 2*w**5/7 + 4*w**4/7 - 48*w**3/7 - 36*w**2/7 + 270*w/7 = 0. What is w?
-5, -3, 0, 3
Factor 84*l**3 + 47*l**2 - 9*l - 2.
(3*l + 2)*(4*l - 1)*(7*l + 1)
Factor 2*s**4 + 4*s**3 - 48*s**2 - 64*s + 256.
2*(s - 4)*(s - 2)*(s + 4)**2
Solve -d**3 - 125*d**2 + 1341*d - 1215 = 0.
-135, 1, 9
Factor -3*r**3 - 27*r**2 - 60*r - 36.
-3*(r + 1)*(r + 2)*(r + 6)
Let -4*f**2 - 884*f - 880 = 0. What is f?
-220, -1
Factor 3*x**3/2 - 39*x**2 - 1563*x/2 + 819.
3*(x - 39)*(x - 1)*(x + 14)/2
Factor i**4/4 - 123*i**3/4 + 5043*i**2/4 - 68921*i/4.
i*(i - 41)**3/4
Let -2*z**4/3 - 196*z**3/3 + 2*z**2/3 + 196*z/3 = 0. Calculate z.
-98, -1, 0, 1
Solve -2*w**3/5 - 4*w**2 + 974*w/5 - 952/5 = 0.
-28, 1, 17
Determine t, given that 2*t**2/5 + 292*t/5 = 0.
-146, 0
Determine k, given that -3*k**2 + 33*k = 0.
0, 11
Factor 2*s**4/5 - 2*s**3 - 8*s**2/5 + 8*s.
2*s*(s - 5)*(s - 2)*(s + 2)/5
Let 2*v**3/3 - 1046*v**2 + 547058*v - 286111334/3 = 0. Calculate v.
523
Solve 2*z**3/7 + 16*z**2/7 - 118*z/7 + 156/7 = 0 for z.
-13, 2, 3
Let -2*u**3 + 26*u**2 = 0. Calculate u.
0, 13
Suppose 2*g**5 + 108*g**4 + 1514*g**3 + 4752*g**2 - 16456*g = 0. What is g?
-34, -11, 0, 2
Solve -3*y**3/2 + 558*y**2 - 69192*y + 2859936 = 0 for y.
124
Suppose -33*t**3 + 84*t**2 - 69*t + 18 = 0. Calculate t.
6/11, 1
Solve h**3 - 46*h**2 + 249*h - 360 = 0 for h.
3, 40
Factor 3*g**3/4 - 18*g**2 - 3*g/4 + 18.
3*(g - 24)*(g - 1)*(g + 1)/4
Factor 2*j**2/7 + 26*j - 184/7.
2*(j - 1)*(j + 92)/7
Factor -3*y**4 - 21*y**3 + 30*y**2 + 48*y.
-3*y*(y - 2)*(y + 1)*(y + 8)
Factor -m**5 - 398*m**4 - 52264*m**3 - 2192240*m**2 + 9408944*m - 9624416.
-(m - 2)**2*(m + 134)**3
Factor o**2 + 848*o + 847.
(o + 1)*(o + 847)
Suppose 6*o**5/7 - 274*o**4/21 - 82*o**3/7 + 338*o**2/21 + 76*o/7 - 64/21 = 0. What is o?
-1, 2/9, 1, 16
Factor i**2/2 + 55*i - 111/2.
(i - 1)*(i + 111)/2
Factor -155*n**3 - 680*n**2 - 705*n - 180.
-5*(n + 1)*(n + 3)*(31*n + 12)
Factor -5*l**3/3 + 220*l**2 + 2015*l/3 + 450.
-5*(l - 135)*(l + 1)*(l + 2)/3
Solve -2*a**3 + 18*a**2 - 30*a - 50 = 0 for a.
-1, 5
Let -3*o**4 - 180*o**3 + 3231*o**2 - 10992*o - 14400 = 0. What is o?
-75, -1, 8
What is p in -5*p**2 + 100*p - 500 = 0?
10
Suppose 8*f**5/15 - 318*f**4/5 + 2102*f**3/15 + 162*f**2/5 - 422*f/3 + 156/5 = 0. What is f?
-1, 1/4, 1, 2, 117
Find a, given that -2*a**4/9 - 56*a**3/9 - 52*a**2/3 - 152*a/9 - 50/9 = 0.
-25, -1
Factor g**4/7 - 15*g**3/7 - g**2/7 + 15*g/7.
g*(g - 15)*(g - 1)*(g + 1)/7
Find b, given that -3*b**3 - 12*b**2 + 135*b = 0.
-9, 0, 5
Find q, given that -3*q**5 + 38*q**4 - 24*q**3 - 768*q**2 + 512*q = 0.
-4, 0, 2/3, 8
Factor -12*h**2 - 52*h + 680.
-4*(h + 10)*(3*h - 17)
Find w such that -100*w**5/9 - 1240*w**4/9 - 416*w**3 + 1240*w**2/9 + 3844*w/9 = 0.
-31/5, -1, 0, 1
Factor 3*m**2/2 - 27*m/2 - 105.
3*(m - 14)*(m + 5)/2
Determine z so that -4*z**4/3 - 32*z**3/3 + 44*z**2/3 + 24*z = 0.
-9, -1, 0, 2
Factor -4*l**3 - 1704*l**2 - 241968*l - 11453152.
-4*(l + 142)**3
Factor -2*l**2 - 6*l + 216.
-2*(l - 9)*(l + 12)
What is h in 30*h**3 - 3605*h**2/6 + 15*h + 100/3 = 0?
-2/9, 1/4, 20
Factor -z**2/3 - 15*z + 46/3.
-(z - 1)*(z + 46)/3
Factor -2*v**5/25 - 16*v**4/5 + 168*v**3/25.
-2*v**3*(v - 2)*(v + 42)/25
Suppose 6*o**3 + 782*o**2 - 526*o - 262 = 0. What is o?
-131, -1/3, 1
Determine d, given that -2*d**3/3 + 10*d**2 - 48*d + 72 = 0.
3, 6
Factor 3*x**2/8 - 141*x/4 + 6627/8.
3*(x - 47)**2/8
Determine i, given that i**4/5 + 278*i**3/5 + 19321*i**2/5 = 0.
-139, 0
Factor 28*k**2 + 236*k + 96.
4*(k + 8)*(7*k + 3)
What is l in -3*l**4 + 105*l**3 - 864*l**2 - 972*l = 0?
-1, 0, 18
Let w**2/4 + 223*w/4 + 111/2 = 0. Calculate w.
-222, -1
Find r such that 2*r**5/19 + 28*r**4/19 + 72*r**3/19 + 68*r**2/19 + 22*r/19 = 0.
-11, -1, 0
Factor -2*l**4/17 - 10*l**3/17 - 14*l**2/17 - 6*l/17.
-2*l*(l + 1)**2*(l + 3)/17
Suppose -2*m**5/5 + 28*m**4/5 - 86*m**3/5 + 52*m**2/5 + 88*m/5 - 16 = 0. What is m?
-1, 1, 2, 10
Let h**2/5 - 2*h + 16/5 = 0. What is h?
2, 8
Find b such that -985*b**2/2 + 987*b/2 - 1 = 0.
2/985, 1
Find q, given that -3*q**5 - 3*q**4 + 9*q**3 + 15*q**2 + 6*q = 0.
-1, 0, 2
Suppose 3*l**4 - 36*l**3 - 3*l**2 + 36*l = 0. What is l?
-1, 0, 1, 12
What is j in -3*j**2 - 108*j = 0?
-36, 0
Factor -m**2 - 30*m.
-m*(m + 30)
Factor -3*v**3/2 + 21*v**2 + 51*v/2 - 45.
-3*(v - 15)*(v - 1)*(v + 2)/2
Suppose 5*c**4 + 2880*c**3 + 555810*c**2 + 36481000*c + 104518065 = 0. Calculate c.
-191, -3
Let -f**2/2 - 17*f/2 + 9 = 0. What is f?
-18, 1
Factor -5*r**4/2 - 537*r**3/2 - 107*r**2.
-r**2*(r + 107)*(5*r + 2)/2
Factor 2*p**4/15 + 14*p**3/15 + 8*p**2/15 - 8*p/5.
2*p*(p - 1)*(p + 2)*(p + 6)/15
Let -b**