nd a such that 2*a**3/9 - 4*a**2/9 + 2*a/9 = 0.
0, 1
Factor r**2 - 441*r + 440.
(r - 440)*(r - 1)
Suppose -2*q**4/5 + 12*q**3/5 - 22*q**2/5 + 12*q/5 = 0. What is q?
0, 1, 2, 3
Suppose 2*j**4/13 + 10*j**3/13 + 6*j**2/13 - 10*j/13 - 8/13 = 0. What is j?
-4, -1, 1
Factor -5*p**2 - 105*p - 100.
-5*(p + 1)*(p + 20)
Factor -2*d**3/3 + 8*d**2/3 + 10*d - 12.
-2*(d - 6)*(d - 1)*(d + 3)/3
Factor -80*p**3 + 780*p**2 + 795*p/4 + 25/2.
-5*(p - 10)*(8*p + 1)**2/4
Let -j**3/3 - 5*j**2/3 - 7*j/3 - 1 = 0. What is j?
-3, -1
Factor -u**3 - 84*u**2 - 320*u.
-u*(u + 4)*(u + 80)
Determine x, given that 15*x**4/4 - 39*x**3 + 165*x**2/4 + 57*x - 27 = 0.
-1, 2/5, 2, 9
Factor 3*o**3/4 - 39*o**2/4.
3*o**2*(o - 13)/4
Factor 4*f**3 + 36*f**2 - 4*f - 36.
4*(f - 1)*(f + 1)*(f + 9)
Determine k so that -k**4 + 7*k**3 - 12*k**2 = 0.
0, 3, 4
Suppose 3*h**2 - 27*h + 42 = 0. What is h?
2, 7
Suppose z**4/2 - 181*z**3 + 33121*z**2/2 - 32580*z + 16200 = 0. What is z?
1, 180
Suppose 2*n**2/11 - 34*n/11 = 0. Calculate n.
0, 17
Solve -5*k**2 - 4825*k - 9630 = 0 for k.
-963, -2
Let -q**2 + 4*q + 60 = 0. What is q?
-6, 10
Suppose -3*k**3 - 12*k**2 - 3*k + 18 = 0. Calculate k.
-3, -2, 1
Suppose -4*b**2 + 5892*b = 0. What is b?
0, 1473
Factor 2*y**3 - 54*y**2 + 300*y + 832.
2*(y - 16)*(y - 13)*(y + 2)
Factor f**3/3 + 9*f**2.
f**2*(f + 27)/3
Factor z**3 - 15*z**2.
z**2*(z - 15)
Determine c so that c**2/7 - 484*c/7 + 58564/7 = 0.
242
Factor 15*z**2/2 + 14*z/3 + 2/3.
(5*z + 2)*(9*z + 2)/6
Find d such that -d**3/7 + 10*d**2/7 - 32*d/7 + 32/7 = 0.
2, 4
Solve 94*x**2/7 - 15*x/7 = 0.
0, 15/94
Solve -15*i**5 + 906*i**4 - 14730*i**3 + 31848*i**2 - 23055*i + 5046 = 0 for i.
2/5, 1, 29
Factor 3*p**5/2 - 12*p**4 + 21*p**3/2.
3*p**3*(p - 7)*(p - 1)/2
Suppose 12*k**4 - 81*k**3 + 3*k**2 + 486*k + 120 = 0. What is k?
-2, -1/4, 4, 5
Factor -6*g**3/5 - 44*g**2/5 + 34*g/5 + 16/5.
-2*(g - 1)*(g + 8)*(3*g + 1)/5
Determine z so that -48*z**5/5 + 24*z**4 + 477*z**3/5 - 834*z**2/5 + 321*z/5 - 36/5 = 0.
-3, 1/4, 1, 4
Find g, given that -5*g**5/4 - 85*g**4/4 - 145*g**3/2 - 205*g**2/2 - 265*g/4 - 65/4 = 0.
-13, -1
Suppose -21*z**4 + 57*z**3 - 24*z**2 - 12*z = 0. Calculate z.
-2/7, 0, 1, 2
Factor 892*p**3 + 884*p**2 - 8*p.
4*p*(p + 1)*(223*p - 2)
Factor 5*g**4 + 50*g**3 + 160*g**2 + 190*g + 75.
5*(g + 1)**2*(g + 3)*(g + 5)
Factor -z**2 - 78*z - 77.
-(z + 1)*(z + 77)
Factor v**3/8 - 343*v**2/2 - 2747*v/8 - 687/4.
(v - 1374)*(v + 1)**2/8
Determine v so that -5*v**2 - 940*v - 44180 = 0.
-94
Factor -n**4/2 + 19*n**3 - 73*n**2/2 + 18*n.
-n*(n - 36)*(n - 1)**2/2
Solve -b**5/5 - 29*b**4/5 + 2*b**3/5 + 58*b**2/5 - b/5 - 29/5 = 0 for b.
-29, -1, 1
Suppose -2*f**5/3 - 2*f**4/3 + 8*f**3/3 + 8*f**2/3 = 0. Calculate f.
-2, -1, 0, 2
Find i such that i**2/3 - 1172*i/3 - 391 = 0.
-1, 1173
Suppose 2*q**2 + 196*q - 400 = 0. What is q?
-100, 2
Find d such that d**3/4 + 268*d**2 + 2141*d/4 + 535/2 = 0.
-1070, -1
What is q in 392*q**5/9 + 17206*q**4/9 - 96206*q**3/9 + 92066*q**2/9 - 10462*q/3 + 392 = 0?
-49, 1/4, 3/7, 4
Factor q**5/6 - 19*q**4/6 + 5*q**3/2 + 59*q**2/6 - 46*q/3 + 6.
(q - 18)*(q - 1)**3*(q + 2)/6
Factor 11*r**2 + 27*r - 18.
(r + 3)*(11*r - 6)
Determine s, given that 3*s**3/7 + 137*s**2/7 - 48*s/7 - 92/7 = 0.
-46, -2/3, 1
Factor 2*f**3/3 + 6*f**2 - 110*f + 950/3.
2*(f - 5)**2*(f + 19)/3
Factor -4*o**4 + 152*o**3 - 148*o**2.
-4*o**2*(o - 37)*(o - 1)
Factor -3*w**4/8 + 15*w**3/4 - 75*w**2/8.
-3*w**2*(w - 5)**2/8
Solve -o**2/4 - 13*o/2 = 0.
-26, 0
Solve c**2/6 - 82*c/3 + 3362/3 = 0.
82
Factor 2*f**3 + 14*f**2 + 24*f.
2*f*(f + 3)*(f + 4)
Solve 90*q**3 + 633*q**2 + 921*q + 30 = 0.
-5, -2, -1/30
Let -2*n**2/17 + 348*n/17 - 346/17 = 0. Calculate n.
1, 173
Suppose 3*w**3/2 - 54*w**2 - 3*w/2 + 54 = 0. What is w?
-1, 1, 36
Suppose w**2/4 + 39*w/2 = 0. Calculate w.
-78, 0
Solve 50*o**5/3 - 40*o**4/3 + 8*o**3/3 = 0.
0, 2/5
Find h such that -5*h**4/4 + 83*h**3/4 - 92*h**2 + 48*h = 0.
0, 3/5, 8
Suppose -4*j**4 - 32*j**3 + 140*j**2 + 1176*j = 0. What is j?
-7, 0, 6
Factor -u**2 + 52*u - 555.
-(u - 37)*(u - 15)
Factor 4*y**4 - 12*y**3 - 16*y**2.
4*y**2*(y - 4)*(y + 1)
Factor -5*j**2 + 1025*j - 1020.
-5*(j - 204)*(j - 1)
Factor -3*c**2 + 48*c - 45.
-3*(c - 15)*(c - 1)
Factor 4*z**4 + 32*z**3 - 552*z**2 + 992*z - 476.
4*(z - 7)*(z - 1)**2*(z + 17)
Determine m, given that 54*m**4 + 708*m**3 - 1984*m**2/3 + 448*m/3 = 0.
-14, 0, 4/9
Determine j so that 2*j**3 + 716*j**2 + 67512*j + 605520 = 0.
-174, -10
Factor 2*c**2 - 186*c - 776.
2*(c - 97)*(c + 4)
Find o, given that -2*o**4/21 - 212*o**3/21 - 5402*o**2/21 + 3816*o/7 - 1944/7 = 0.
-54, 1
Determine l, given that l**4/3 - 32*l**3/3 - 48*l**2 = 0.
-4, 0, 36
Factor 50*d**3 - 15*d**2 - 65*d.
5*d*(d + 1)*(10*d - 13)
Find w such that 2*w**3 - 104*w**2 + 1450*w - 2500 = 0.
2, 25
Factor 5*b**5 + b**4 - 30*b**3 + 34*b**2 - 7*b - 3.
(b - 1)**3*(b + 3)*(5*b + 1)
Determine z, given that -z**5 + z**4 + 61*z**3 - 253*z**2 + 120*z + 432 = 0.
-9, -1, 3, 4
What is n in 4*n**3/3 + 52*n**2/3 + 92*n/3 + 44/3 = 0?
-11, -1
Suppose n**4/2 - 323*n**3/2 + 25591*n**2/2 + 79707*n/2 = 0. Calculate n.
-3, 0, 163
Suppose 4*q**5 - 112*q**4 + 880*q**3 - 1240*q**2 - 884*q + 1352 = 0. Calculate q.
-1, 1, 2, 13
Factor -3*d**3/8 + 307*d**2/8 - 351*d/4 + 25.
-(d - 100)*(d - 2)*(3*d - 1)/8
Factor 2*f**5 + 240*f**4 + 8496*f**3 + 77760*f**2 + 209952*f.
2*f*(f + 6)**2*(f + 54)**2
Factor -664*k**2 + 1330*k - 4.
-2*(k - 2)*(332*k - 1)
Determine o so that -500*o**4 - 2780*o**3 - 3188*o**2 + 1932*o - 72 = 0.
-3, 1/25, 2/5
Factor -3*j**2/2 + 480*j - 957/2.
-3*(j - 319)*(j - 1)/2
What is q in 9*q**4/8 + 1383*q**3/4 + 211597*q**2/8 - 35497*q/2 + 5929/2 = 0?
-154, 1/3
Determine w so that -8*w**4 + 17*w**3 + 30*w**2 - 68*w + 8 = 0.
-2, 1/8, 2
Determine q so that -870*q**2 - 1736*q + 8 = 0.
-2, 2/435
Factor -3*u**2/7 + 180*u/7 - 2193/7.
-3*(u - 43)*(u - 17)/7
Let 24*d**4 + 20*d**3 - 28*d**2 - 20*d + 4 = 0. Calculate d.
-1, 1/6, 1
Factor 5*f**3 - 30*f**2 - 155*f + 180.
5*(f - 9)*(f - 1)*(f + 4)
Find z such that 2*z**2 + 68*z = 0.
-34, 0
What is l in -2*l**2 + 8*l = 0?
0, 4
Factor -u**3/4 - u**2 - 5*u/4 - 1/2.
-(u + 1)**2*(u + 2)/4
Find d, given that 5*d**3 - 600*d**2 + 12220*d = 0.
0, 26, 94
Determine i so that 12*i**4 - 68*i**3/3 + 28*i**2/3 + 4*i/3 = 0.
-1/9, 0, 1
Factor -205*y**2 + 12495*y + 610.
-5*(y - 61)*(41*y + 2)
Factor 3*q**2 - 18*q + 24.
3*(q - 4)*(q - 2)
Factor -3*p**4 + 48*p**3 - 231*p**2 + 330*p - 144.
-3*(p - 8)*(p - 6)*(p - 1)**2
What is z in -2*z**2/9 + 880*z/3 - 96800 = 0?
660
Factor 3*q**3 + 987*q**2 + 81672*q + 80688.
3*(q + 1)*(q + 164)**2
Suppose -16*a**4/5 - 904*a**3/5 - 2993*a**2/5 - 1328*a/5 - 159/5 = 0. What is a?
-53, -3, -1/4
Suppose 4*l**4 + 60*l**3 + 152*l**2 + 96*l = 0. Calculate l.
-12, -2, -1, 0
Factor -3*j**2/5 - 114*j/5 - 63.
-3*(j + 3)*(j + 35)/5
Factor -l**3/3 + 11*l**2/3 + 34*l.
-l*(l - 17)*(l + 6)/3
Find j such that -2*j**4 + 68*j**3 + 218*j**2 + 148*j = 0.
-2, -1, 0, 37
Factor -o**2/7 + 29*o/7 - 24.
-(o - 21)*(o - 8)/7
Factor -4*x**3 + 4*x**2 + 16*x - 16.
-4*(x - 2)*(x - 1)*(x + 2)
Let -92*a**5 + 532*a**4 - 912*a**3 + 64*a**2 + 1024*a - 576 = 0. What is a?
-1, 18/23, 2
Determine s, given that -2*s**2 + 636*s - 50562 = 0.
159
Determine c, given that -2*c**4/3 + 22*c**3/3 - 70*c**2/3 + 50*c/3 = 0.
0, 1, 5
Suppose -2*i**5/7 + 12*i**4/7 - 24*i**3/7 + 16*i**2/7 = 0. Calculate i.
0, 2
Find u, given that -2*u**3/3 + 16*u**2/3 + 50*u + 84 = 0.
-3, 14
Solve -m**2/2 + 43*m/2 - 78 = 0.
4, 39
Find r, given that -2*r**5/7 + 38*r**4/7 + 342*r**3/7 + 562*r**2/7 + 260*r/7 = 0.
-5, -1, 0, 26
What is k in -2*k**5 + 14*k**4 - 16*k**3 - 32*k**2 = 0?
-1, 0, 4
Factor 5*s**2 - 153*s - 62.
(s - 31)*(5*s + 2)
Factor -75*b**2 + 78*b - 3.
-3*(b - 1)*(25*b - 1)
Factor 10*m**2/7 + 192*m/7 - 160/7.
2*(m + 20)*(5*m - 4)/7
Find i, given that 5*i**4/2 + 45*i**3/4 - 45*i**2/2 + 5*i/4 + 15/2 = 0.
-6, -1/2, 1
Determine b so that 5*b**2 + 3155*b = 0.
-631, 0
Factor 2*m**5 - 5*m**4/2 - 11*m**3/2 + 23*m**2/2 - 13*m/2 + 1.
(m - 1)**3*(m + 2)*(4*m - 1)/2
Find k, given that 4*k**5 + 80*k**4/3 + 613*k**3/9 + 749*k**2/9 + 440*k/9 + 100/9 = 0.
-2, -1, -5/6
Suppose -26*m**4 + 160*m**3 + 626*m**2 + 368*m - 72 = 0. What is m?
-2, -1, 2/13, 9
Find z such that -4*z**3 + 68*z**2 - 40*z - 384 = 0.
-2, 3, 16
Suppose 5*q**4 - 1335*q**3 + 1325*q**2 + 133