 - 1)/4
Determine i, given that i**2 + 22*i - 23 = 0.
-23, 1
Factor -2*m**2/3 + 554*m/3 + 372.
-2*(m - 279)*(m + 2)/3
Solve 72*c**4/7 + 312*c**3/7 + 314*c**2/7 + 80*c/7 + 6/7 = 0.
-3, -1, -1/6
Factor -2*b**2 - 13844*b - 23957042.
-2*(b + 3461)**2
Factor 2*y**3/3 + 4*y**2 + 10*y/3.
2*y*(y + 1)*(y + 5)/3
Find s such that -2*s**3/5 - 2*s**2 + 12*s/5 = 0.
-6, 0, 1
Find b such that -4*b**4 - 56*b**3 - 164*b**2 + 224*b = 0.
-8, -7, 0, 1
Solve -147*f**4 + 819*f**3 - 1146*f**2 - 576*f + 1536 = 0.
-1, 2, 16/7
Factor 4*h**2/7 + 2168*h.
4*h*(h + 3794)/7
Solve -5*x**4 - 30*x**3 + 15*x**2 + 280*x + 240 = 0.
-4, -1, 3
Solve 4*p**4 - 44*p**3 + 124*p**2 - 84*p = 0 for p.
0, 1, 3, 7
Factor d**3/6 + 43*d**2/6 + 217*d/3 + 196/3.
(d + 1)*(d + 14)*(d + 28)/6
Factor -3*j**2/7 - 1731*j/7 + 1734/7.
-3*(j - 1)*(j + 578)/7
Determine j, given that 3*j**5 - 45*j**4/2 - 117*j**3 + 1659*j**2/2 + 441*j = 0.
-6, -1/2, 0, 7
Factor 2*q**4/15 - 16*q**3/15 + 14*q**2/5 - 12*q/5.
2*q*(q - 3)**2*(q - 2)/15
Factor j**4 - 31*j**3 + 224*j**2 + 256*j.
j*(j - 16)**2*(j + 1)
Suppose 2*z**3/3 + 3788*z**2/3 + 7570*z/3 + 3784/3 = 0. Calculate z.
-1892, -1
Suppose -2*j**4/9 - 8*j**3/9 - 2*j**2/3 = 0. What is j?
-3, -1, 0
Factor -y**3/5 - 4*y**2/5 + 7*y/5 + 2.
-(y - 2)*(y + 1)*(y + 5)/5
Let -2*f**3/11 - 260*f**2/11 = 0. Calculate f.
-130, 0
Let -2*v**2/7 + 8/7 = 0. Calculate v.
-2, 2
Determine d, given that 2*d**2/7 - 6*d/7 - 1856/7 = 0.
-29, 32
Factor b**5/2 + 147*b**4 + 1710*b**3 + 5076*b**2.
b**2*(b + 6)**2*(b + 282)/2
Determine d, given that -2*d**2/5 + 502*d/5 - 100 = 0.
1, 250
Factor -5*s**2/2 + 447*s/2 - 89.
-(s - 89)*(5*s - 2)/2
Find i such that 10*i**5 - 226*i**4 + 1858*i**3 - 6470*i**2 + 7100*i + 4000 = 0.
-2/5, 5, 8
Find d, given that -147*d**3/4 + 1827*d**2/4 + 270*d + 39 = 0.
-2/7, 13
Factor 2*i**2/21 + 428*i/3 + 160286/3.
2*(i + 749)**2/21
Factor 5*s**3 + 270*s**2 + 1255*s + 1470.
5*(s + 2)*(s + 3)*(s + 49)
Find o such that 5*o**5 - 5*o**4 - 55*o**3 - 35*o**2 + 50*o + 40 = 0.
-2, -1, 1, 4
Let -5*w**2 + 75*w - 180 = 0. Calculate w.
3, 12
Find k, given that 4*k**4/5 + 176*k**3/5 + 2872*k**2/5 + 20592*k/5 + 54756/5 = 0.
-13, -9
Let -4*f**2 + 16464*f = 0. Calculate f.
0, 4116
Factor -4*p**3 - 22*p**2 + 76*p - 32.
-2*(p - 2)*(p + 8)*(2*p - 1)
Let 3*s**2/7 + 138*s/7 + 1587/7 = 0. Calculate s.
-23
Find z, given that z**3 - 25*z**2 - 328*z + 748 = 0.
-11, 2, 34
Factor l**3 + l**2 - 72*l.
l*(l - 8)*(l + 9)
Let 672*l**5 + 2976*l**4 + 4362*l**3 + 2319*l**2 + 231*l - 30 = 0. Calculate l.
-2, -5/4, -1, -1/4, 1/14
Factor -5*w**3 + 730*w**2 - 28045*w + 100820.
-5*(w - 71)**2*(w - 4)
Find q such that 2*q**3 - 450*q**2 + 33750*q - 843750 = 0.
75
Factor 2*z**2 + 16*z.
2*z*(z + 8)
Solve 5*b**5 + 220*b**4 + 1865*b**3 - 4650*b**2 = 0 for b.
-31, -15, 0, 2
Suppose 7*m**4 - 30*m**3 + 43*m**2 - 24*m + 4 = 0. What is m?
2/7, 1, 2
Find t, given that t**2 - 569*t + 568 = 0.
1, 568
Determine p so that 4*p**3 - 60*p**2 + 128*p + 192 = 0.
-1, 4, 12
Let 3*c**2 + 12*c - 15 = 0. What is c?
-5, 1
Factor -3*j**5/4 - 3*j**4/4 + 3*j**3/4 + 3*j**2/4.
-3*j**2*(j - 1)*(j + 1)**2/4
Factor -2*n**3/5 - 2*n**2/5 + 8*n/5 + 8/5.
-2*(n - 2)*(n + 1)*(n + 2)/5
Factor 2*n**4/13 - 56*n**3/13 - 30*n**2 - 612*n/13.
2*n*(n - 34)*(n + 3)**2/13
Solve 2*i**4/9 - 8*i**3/3 - 376*i**2/9 + 896*i/3 + 25088/9 = 0 for i.
-8, 14
Factor g**3 - 90*g**2 + 347*g - 258.
(g - 86)*(g - 3)*(g - 1)
Factor 4*s**2 - 3220*s + 6424.
4*(s - 803)*(s - 2)
Solve -l**5/3 + 5*l**4/3 - 8*l**3/3 + 4*l**2/3 = 0.
0, 1, 2
Factor -3*x**5/5 - 339*x**4/5.
-3*x**4*(x + 113)/5
Suppose -2*h**4/9 - 20*h**3/9 - 22*h**2/3 - 88*h/9 - 40/9 = 0. Calculate h.
-5, -2, -1
What is f in f**2/12 - 35*f/6 + 34/3 = 0?
2, 68
Factor -s**2/3 + 68*s - 3468.
-(s - 102)**2/3
Factor -14*i**2/5 + 138*i/5 - 108/5.
-2*(i - 9)*(7*i - 6)/5
Determine g, given that -5*g**4 + 645*g**3 + 4005*g**2 + 6055*g + 2700 = 0.
-4, -1, 135
Let 24*t**5 + 116*t**4 - 520*t**3 - 1932*t**2 + 2680*t - 800 = 0. Calculate t.
-5, 1/2, 2/3, 4
Solve -z**3 - 78*z**2 - 2028*z - 17576 = 0.
-26
Factor 1244*p**2/3 + 20*p/3.
4*p*(311*p + 5)/3
Factor 2*t**4 - 242*t**3 + 7436*t**2 - 6720*t - 14400.
2*(t - 60)**2*(t - 2)*(t + 1)
What is m in -14*m**2/17 - 110*m/17 - 84/17 = 0?
-7, -6/7
Factor -5*m**2 + 5.
-5*(m - 1)*(m + 1)
Determine s, given that -105*s**3 - 320*s**2 - 225*s - 10 = 0.
-2, -1, -1/21
Factor -a**3 - 120*a**2 + a + 120.
-(a - 1)*(a + 1)*(a + 120)
Let 2*q**2/5 - 94*q/5 + 1044/5 = 0. Calculate q.
18, 29
Factor -3*y**3/5 + 18*y**2/5 - 27*y/5.
-3*y*(y - 3)**2/5
Factor 3*s**3/2 + 51*s**2/2 + 189*s/2 - 243/2.
3*(s - 1)*(s + 9)**2/2
Factor -28*i**3 + 864*i**2 + 1024*i.
-4*i*(i - 32)*(7*i + 8)
Determine t, given that -3*t**3/2 + t**2/2 = 0.
0, 1/3
Determine r so that 5*r**4 + 5*r**3 - 95*r**2 + 55*r + 150 = 0.
-5, -1, 2, 3
Factor -3*k**3 + 12*k**2 + 9*k - 54.
-3*(k - 3)**2*(k + 2)
Factor i**4 + 68*i**3/3 - 23*i**2/3.
i**2*(i + 23)*(3*i - 1)/3
Factor -3*o**2/4 + 21*o + 87/4.
-3*(o - 29)*(o + 1)/4
Factor 4*j**3 - 156*j**2 + 300*j - 148.
4*(j - 37)*(j - 1)**2
Find f, given that 2*f**3/5 + 12*f**2 + 120*f + 400 = 0.
-10
Suppose 3*x**3/2 + 66*x**2 + 567*x/2 - 10935 = 0. Calculate x.
-27, 10
Determine o, given that o**4 - 64*o**3 + 957*o**2 + 2178*o = 0.
-2, 0, 33
Factor -d**2 - 30*d - 29.
-(d + 1)*(d + 29)
What is u in -15*u**3/7 + 204*u**2/7 + 564*u/7 + 192/7 = 0?
-2, -2/5, 16
Factor -2*j**5/9 + 166*j**4/9 - 326*j**3/9 + 18*j**2.
-2*j**2*(j - 81)*(j - 1)**2/9
Factor 18*z**3/5 - 994*z**2/5 + 2128*z/5 - 424/5.
2*(z - 53)*(z - 2)*(9*z - 2)/5
Factor 45*w**2 + 546*w + 72.
3*(w + 12)*(15*w + 2)
Factor -2*v**4/3 + 4*v**3/3 + 24*v**2 - 108*v + 126.
-2*(v - 3)**3*(v + 7)/3
Factor 5*f**3 + 60*f**2 + 55*f.
5*f*(f + 1)*(f + 11)
What is k in -k**3/3 + 17*k**2/3 - 25*k + 33 = 0?
3, 11
Factor d**3/4 - 71*d**2/2 - 220*d - 296.
(d - 148)*(d + 2)*(d + 4)/4
Determine i so that 3*i**3/8 - 39*i**2/4 + 507*i/8 = 0.
0, 13
Factor k**2 + 182*k + 8281.
(k + 91)**2
Factor 2*z**3/5 - 138*z**2/5 + 300*z - 2464/5.
2*(z - 56)*(z - 11)*(z - 2)/5
Let -14*v**2/9 + 52*v/9 - 16/3 = 0. What is v?
12/7, 2
Let -l**2/2 - 35*l/2 - 75 = 0. Calculate l.
-30, -5
Solve -3*i**2 - 12234*i - 12472563 = 0 for i.
-2039
Factor 5*x**2 + 270*x + 3645.
5*(x + 27)**2
Determine s, given that 6*s**5/7 - 2*s**4/7 - 40*s**3/7 + 64*s/7 + 32/7 = 0.
-2, -1, -2/3, 2
What is y in -3*y**5 + 6*y**4 + 9*y**3 = 0?
-1, 0, 3
Factor -z**4/3 - 31*z**3/3 - 29*z**2/3 + 31*z/3 + 10.
-(z - 1)*(z + 1)**2*(z + 30)/3
Find w such that -6*w**4/5 - 32*w**3/5 - 6*w**2/5 + 92*w/5 - 48/5 = 0.
-4, -3, 2/3, 1
Factor 2*u**2 - 324*u + 322.
2*(u - 161)*(u - 1)
Factor -v**3/5 - 7*v**2/5 - 4*v/5 + 12/5.
-(v - 1)*(v + 2)*(v + 6)/5
Suppose 4*g**3/7 - 51*g**2/7 + 180*g/7 - 108/7 = 0. Calculate g.
3/4, 6
Factor -z**4/5 + 17*z**3/5 + 57*z**2/5 + 59*z/5 + 4.
-(z - 20)*(z + 1)**3/5
Factor -4*p**3 - 92*p**2 - 444*p + 540.
-4*(p - 1)*(p + 9)*(p + 15)
What is a in a**5 + 5*a**4 - 3*a**3 - 17*a**2 - 10*a = 0?
-5, -1, 0, 2
Find i, given that -i**4 + 101*i**3 + 523*i**2 + 739*i + 318 = 0.
-3, -1, 106
Factor 2*q**3 + 20*q**2 + 26*q - 48.
2*(q - 1)*(q + 3)*(q + 8)
Suppose 3*y**4 + 939*y**3 + 98280*y**2 + 3471936*y + 3374592 = 0. What is y?
-104, -1
What is z in -2*z**3 - 508*z**2 - 1010*z - 504 = 0?
-252, -1
Factor -5*a**2 - 35*a - 30.
-5*(a + 1)*(a + 6)
Solve -h**4/4 + h**3/2 + 15*h**2/4 - 8*h + 4 = 0.
-4, 1, 4
Solve -10*w**3/17 - 24*w**2/17 - 14*w/17 = 0 for w.
-7/5, -1, 0
Factor 6*v**3 - 92*v**2 - 166*v - 68.
2*(v - 17)*(v + 1)*(3*v + 2)
Suppose -3*s**5/7 + 15*s**4/7 + 72*s**3 + 1836*s**2/7 = 0. What is s?
-6, 0, 17
Determine o, given that -13*o**2/4 - 32*o + 5 = 0.
-10, 2/13
Factor -n**3/7 + 26*n**2/7 + 87*n/7.
-n*(n - 29)*(n + 3)/7
Let 5*x**5 + 30*x**4 + 40*x**3 - 80*x**2 - 240*x - 160 = 0. Calculate x.
-2, 2
Factor -3*g**4 + 27*g**3 - 63*g**2 + 57*g - 18.
-3*(g - 6)*(g - 1)**3
Factor 4*r**3 - 8*r**2 - 20*r + 24.
4*(r - 3)*(r - 1)*(r + 2)
Find q, given that -q**4/3 - 10*q**3 - 253*q**2/3 - 140*q - 196/3 = 0.
-14, -1
What is s in -3*s**4/8 + 15*s**3/8 - 9*s**2/4 = 0?
0, 2, 3
Factor 2*c**4/7 - 1156*c**3/7 + 168194*c**2/7 - 332928*c/7 + 165888/7.
2*(c - 288)**2*(c - 1)**2/7
Let -2*u**2/3 - 1552*u/3 - 301088/3 = 0. Calculate u.
-388
Factor 3*h**4 - 35*h**3 + 67*h**2/3 - 11*h/3.
h*(h - 11)*(3*h - 1)**2/3
Factor -2*w**2/3 + 58*w/