 + 520*n + 1024.
4*(n + 2)*(n + 128)
Factor -1024*x**4 - 13440*x**3 - 58800*x**2 - 85750*x.
-2*x*(8*x + 35)**3
Find k such that 4*k**2/5 - 16*k/5 - 4 = 0.
-1, 5
Factor 2*s**2 - 30*s - 32.
2*(s - 16)*(s + 1)
Factor z**2/2 - 3*z/4 + 1/4.
(z - 1)*(2*z - 1)/4
Factor -5*t**4 + 130*t**3 - 965*t**2 + 1560*t - 720.
-5*(t - 12)**2*(t - 1)**2
Factor -279*p**3/7 - 1110*p**2/7 - 156*p + 24/7.
-3*(p + 2)**2*(93*p - 2)/7
Find y, given that 2*y**2/5 - 480*y + 144000 = 0.
600
Solve 9*t**3/2 - 91*t**2 - 149*t/2 + 21 = 0 for t.
-1, 2/9, 21
Factor s**2/4 - 23*s/2 + 529/4.
(s - 23)**2/4
Solve -3*b**3/2 + 293*b**2/2 - 239*b - 96 = 0 for b.
-1/3, 2, 96
Suppose 2*v**4 - 2100*v**3 - 2102*v**2 = 0. Calculate v.
-1, 0, 1051
Determine j so that -j**3/8 - 3*j**2/4 + 2*j = 0.
-8, 0, 2
Suppose -3*l**3 - 627*l**2 - 618*l + 1248 = 0. Calculate l.
-208, -2, 1
Solve 2*i**5/13 - 46*i**4/13 + 282*i**3/13 - 154*i**2/13 - 484*i/13 = 0 for i.
-1, 0, 2, 11
Suppose -10*b**4 + 288*b**3/7 - 304*b**2/7 + 32/7 = 0. What is b?
-2/7, 2/5, 2
Solve 2*y**4 + 8*y**3 - 234*y**2 + 616*y - 392 = 0 for y.
-14, 1, 2, 7
Find v, given that 3*v**2/2 - 2595*v/2 - 1299 = 0.
-1, 866
Factor 2*w**4 - 22*w**3 + 38*w**2 - 18*w.
2*w*(w - 9)*(w - 1)**2
Factor -3*d**4 + 14*d**3 - 17*d**2 + 6*d.
-d*(d - 3)*(d - 1)*(3*d - 2)
Let -4*m**4 - 92*m**3 - 240*m**2 + 3472*m - 3136 = 0. What is m?
-14, 1, 4
Solve -l**5 - 8*l**4 + 8*l**3 + 64*l**2 - 16*l - 128 = 0 for l.
-8, -2, 2
Factor -4*i**4/9 + 18280*i**3/9 - 9290288*i**2/3 + 14213945824*i/9 - 56411018368/9.
-4*(i - 1522)**3*(i - 4)/9
Suppose -2*h**2/3 - 20*h - 58/3 = 0. Calculate h.
-29, -1
Find d, given that -3*d**2 + 21*d = 0.
0, 7
What is p in 2*p**3/5 - 10*p**2 + 94*p/5 - 46/5 = 0?
1, 23
What is v in v**4/3 + 139*v**3/3 - 2338*v**2 + 103684*v/3 - 496664/3 = 0?
-181, 14
Factor -2*y**2 - 380*y - 18050.
-2*(y + 95)**2
Find s, given that -3*s**3 - 36*s**2 + 81*s - 42 = 0.
-14, 1
Find t, given that -10*t**5/9 + 2*t**4/9 + 70*t**3/9 - 74*t**2/9 + 4*t/3 = 0.
-3, 0, 1/5, 1, 2
What is x in -2*x**2/3 - 650*x/3 - 216 = 0?
-324, -1
Solve -2*o**2/5 - 412*o/5 + 336 = 0.
-210, 4
Factor 5*b**5 - 45*b**4 + 90*b**3 + 20*b**2 - 120*b.
5*b*(b - 6)*(b - 2)**2*(b + 1)
Suppose -4*g**4/7 - 6*g**3/7 + 18*g**2/7 - 2*g/7 - 6/7 = 0. What is g?
-3, -1/2, 1
Factor -3*a**4/4 + 9*a**2 - 12*a.
-3*a*(a - 2)**2*(a + 4)/4
Factor -2*d**3/13 + 88*d**2/13 + 800*d/13 + 128.
-2*(d - 52)*(d + 4)**2/13
Determine x so that 2*x**3/5 - 36*x**2/5 + 94*x/5 - 12 = 0.
1, 2, 15
Factor 2*q**2/5 + 26*q/5 + 84/5.
2*(q + 6)*(q + 7)/5
Factor -49*a**3/5 - 47*a**2/5 + 2*a/5.
-a*(a + 1)*(49*a - 2)/5
Factor -13*n**2 + 12*n + 1.
-(n - 1)*(13*n + 1)
Let -2*a**3/3 + 644*a**2/3 - 54322*a/3 + 394384/3 = 0. What is a?
8, 157
Factor -3*b**2/7 - 507*b/7 - 72.
-3*(b + 1)*(b + 168)/7
Solve 4*n**5 - 20*n**4 = 0.
0, 5
Let s**4/6 + 245*s**3/3 - 491*s**2/6 = 0. Calculate s.
-491, 0, 1
Factor -5*h**2 + 1070*h + 1075.
-5*(h - 215)*(h + 1)
Determine c, given that 4*c**5/7 + 20*c**4/7 + 8*c**3/7 - 80*c**2/7 - 96*c/7 = 0.
-3, -2, 0, 2
Factor -r**4/3 + 144*r**3 - 430*r**2 + 1288*r/3 - 143.
-(r - 429)*(r - 1)**3/3
Determine k so that k**3/5 + 8*k**2/5 - 9*k + 36/5 = 0.
-12, 1, 3
Let 21*j**5 + 505*j**4 - 503*j**3 - 73*j**2 + 50*j = 0. Calculate j.
-25, -1/3, 0, 2/7, 1
Find p such that 5*p**5 - 40*p**4 - 45*p**3 = 0.
-1, 0, 9
Factor 2*y**2/9 - 356*y/9 - 80.
2*(y - 180)*(y + 2)/9
Let 109*j**2/7 - 761*j/7 - 2 = 0. Calculate j.
-2/109, 7
Suppose 3*l**3/8 + 255*l**2/8 + 525*l + 4875/2 = 0. Calculate l.
-65, -10
Factor 5*r**3 - 100*r**2 + 240*r + 2880.
5*(r - 12)**2*(r + 4)
Find m such that 2*m**2/7 + 64*m/7 - 136/7 = 0.
-34, 2
Determine t so that -2*t**2 + 8764*t - 9600962 = 0.
2191
Factor -9*s**2 - 138*s + 96.
-3*(s + 16)*(3*s - 2)
Solve 14*r**2 - 36*r - 128 = 0.
-2, 32/7
Find q, given that 4*q**4 - 3*q**3 - q**2 = 0.
-1/4, 0, 1
Factor g**4 + 25*g**3.
g**3*(g + 25)
Find z, given that -15*z**2 + 57*z - 54 = 0.
9/5, 2
Factor -2*i**2/5 + 364*i/5 - 16562/5.
-2*(i - 91)**2/5
Factor 3*h**3 - 18*h**2 - 201*h - 180.
3*(h - 12)*(h + 1)*(h + 5)
Factor r**4/7 - 2*r**3/7 + 2*r/7 - 1/7.
(r - 1)**3*(r + 1)/7
Factor h**3/3 - h**2/3 - 8*h/3 + 4.
(h - 2)**2*(h + 3)/3
Find w, given that 4*w**5 - 8*w**4 + 8*w**2 - 4*w = 0.
-1, 0, 1
Let 2*c**3/23 - 2*c**2/23 - 74*c/23 - 70/23 = 0. Calculate c.
-5, -1, 7
Factor 2*w**2 - 120*w + 118.
2*(w - 59)*(w - 1)
Factor v**4/9 - v**3/3 - v**2 + 3*v.
v*(v - 3)**2*(v + 3)/9
Factor -i**3/5 - 66*i**2/5 - 1452*i/5 - 10648/5.
-(i + 22)**3/5
Let m**2/2 + 2*m + 2 = 0. What is m?
-2
Suppose 2*l**3 - 100*l**2 - 206*l - 104 = 0. What is l?
-1, 52
Find a such that 5*a**4/3 + 85*a**3/3 - 420*a**2 - 10800*a - 54720 = 0.
-12, 19
Factor 9*c**3 - 1401*c**2 - 474*c + 936.
3*(c - 156)*(c + 1)*(3*c - 2)
Find s such that 3*s**3 - 15*s**2 - 39*s - 21 = 0.
-1, 7
Find x such that 2*x**3/9 + 8*x**2/9 - 10*x/3 - 4 = 0.
-6, -1, 3
Find t such that -4*t**5/3 - 16*t**4/3 + 44*t**3/3 - 8*t**2 = 0.
-6, 0, 1
Find d such that d**2/3 - 7*d + 68/3 = 0.
4, 17
Factor 2*d**3 + 34*d**2 + 168*d + 216.
2*(d + 2)*(d + 6)*(d + 9)
Solve -10*u**4/11 + 46*u**3/11 - 40*u**2/11 - 24*u/11 = 0.
-2/5, 0, 2, 3
Factor -4*o**5/5 - 36*o**4/5 - 128*o**3/5 - 224*o**2/5 - 192*o/5 - 64/5.
-4*(o + 1)*(o + 2)**4/5
Suppose -3*v**2/8 + 1071*v/4 - 382347/8 = 0. What is v?
357
What is o in 30*o**4 - 35*o**3 - 900*o**2 + 155*o + 150 = 0?
-5, -1/3, 1/2, 6
Find x, given that -3*x**5/5 + 18*x**4/5 - 3*x**3/5 - 144*x**2/5 + 276*x/5 - 144/5 = 0.
-3, 1, 2, 4
Factor -z**3/11 + 81*z**2/11 - 1599*z/11 - 1681/11.
-(z - 41)**2*(z + 1)/11
Solve 20*q**3 + 492*q**2 - 8120*q + 3168 = 0 for q.
-36, 2/5, 11
Factor 164*z**2 - 2620*z - 64.
4*(z - 16)*(41*z + 1)
Suppose -8*a**4/3 + 12*a**3 - 8*a**2 - 44*a/3 + 8 = 0. What is a?
-1, 1/2, 2, 3
What is k in -4*k**5 + 236*k**4 - 1696*k**3 + 3264*k**2 = 0?
0, 4, 51
Find n such that -4*n**5 - 72*n**4 + 12*n**3 + 208*n**2 - 144*n = 0.
-18, -2, 0, 1
Let 3*i**5/2 - 15*i**4 + 63*i**3/2 + 54*i**2 - 162*i = 0. Calculate i.
-2, 0, 3, 6
Suppose -4*x**2/11 + 114*x/11 + 58/11 = 0. Calculate x.
-1/2, 29
Factor -2*d**4/3 + 5*d**3/6 + 7*d**2/6 - d/3.
-d*(d - 2)*(d + 1)*(4*d - 1)/6
What is k in 2*k**5/7 - 480*k**4/7 + 954*k**3/7 - 68*k**2 = 0?
0, 1, 238
Let -12*l**5 + 40*l**4 + 20*l**3 - 80*l**2 - 48*l = 0. What is l?
-1, -2/3, 0, 2, 3
Let 2*h**3/5 + 5544*h**2/5 + 22152*h/5 + 22144/5 = 0. Calculate h.
-2768, -2
Factor -3*k**3 + 9*k**2 + 54*k.
-3*k*(k - 6)*(k + 3)
Determine w, given that 2*w**3 - 729*w**2/4 + 811*w/4 - 45/2 = 0.
1/8, 1, 90
Factor -14*a**3/5 + 2432*a**2/5 - 21054*a - 30276/5.
-2*(a - 87)**2*(7*a + 2)/5
Find y, given that -4*y**5/3 - 20*y**4/3 + 56*y**3/3 - 8*y**2/3 - 52*y/3 + 28/3 = 0.
-7, -1, 1
Factor 6*k**3 - 255*k**2 + 372*k - 123.
3*(k - 41)*(k - 1)*(2*k - 1)
Factor q**4/5 + 12*q**3/5 + 2*q**2 - 12*q/5 - 11/5.
(q - 1)*(q + 1)**2*(q + 11)/5
Find u, given that 5*u**2 + 585*u - 16100 = 0.
-140, 23
Solve 2*s**2/7 - 3580*s/7 = 0.
0, 1790
Factor 4*j**4/3 + 4*j**3/3 - 8*j**2.
4*j**2*(j - 2)*(j + 3)/3
Factor y**2 + 23*y.
y*(y + 23)
Suppose -312*y**5 - 5508*y**4 - 25743*y**3/2 - 13725*y**2/2 - 1356*y - 90 = 0. Calculate y.
-15, -2, -1/4, -2/13
Factor -x**2 - 8*x - 12.
-(x + 2)*(x + 6)
Find u such that u**3 + 92*u**2 + 2205*u + 4050 = 0.
-45, -2
What is j in 4*j**4/3 + j**3 = 0?
-3/4, 0
What is b in 5*b**2 - 20 = 0?
-2, 2
Suppose -2*o**2/3 + 14*o/3 + 16/3 = 0. What is o?
-1, 8
Factor -3*v**3/4 - 123*v**2 + 1020*v - 2064.
-3*(v - 4)**2*(v + 172)/4
Find l, given that -312*l**3/7 - 340*l**2/7 - 24*l/7 + 4/7 = 0.
-1, -1/6, 1/13
Find i such that i**4 + 40*i**3 + 600*i**2 + 4000*i + 10000 = 0.
-10
Factor -u**3 + 15*u**2 - 54*u + 40.
-(u - 10)*(u - 4)*(u - 1)
Suppose 5*b**3 - 325*b**2 + 1240*b - 1220 = 0. What is b?
2, 61
Factor 14*o**3 + 2068*o**2 + 76072*o - 21904.
2*(o + 74)**2*(7*o - 2)
Solve 578*z**3 - 273530*z**2 + 64336*z - 3784 = 0.
2/17, 473
What is k in -4*k**5/5 - 46*k**4/5 - 22*k**3 + 196*k**2/5 + 408*k/5 + 144/5 = 0?
-6, -1, -1/2, 2
Factor -3*p**3 + 132*p**2 - 255*p + 126.
-3*(p - 42)*(p - 1)**2
Find r such that -3*r**2 - 2*r = 0.
-2/3, 0
Suppose -49*u**3/4 + 99*u**2/2 - 51*u + 2 = 0. What is u?
2/49, 2
Find o, given that -2*o**4/5 - 4*o**3/5 + 2*o**2 + 12*o/5 = 0.
-3, -1, 0, 2
Determine x, given that 7*x**4/5 - 1339*x**3/5 - 976*x**2/5 + 3076*x/5 - 768/5 = 0.
-2, 2