*3/4 - 29*c**2/4 - 85*c/2 + 50.
-(c - 1)*(c + 10)*(c + 20)/4
Find b, given that -5*b**5 + 265*b**4 = 0.
0, 53
What is c in -121*c**5 + 4884*c**4 - 50164*c**3 + 17760*c**2 - 1600*c = 0?
0, 2/11, 20
Factor 2*j**4/9 - 4*j**3/3 + 26*j**2/9 - 8*j/3 + 8/9.
2*(j - 2)**2*(j - 1)**2/9
What is r in r**2/4 - 33*r/2 - 34 = 0?
-2, 68
Let -2*z**3/5 + 872*z**2/5 - 1738*z/5 + 868/5 = 0. Calculate z.
1, 434
Find t such that -6*t**3/7 + 19*t**2/7 - 11*t/7 - 6/7 = 0.
-1/3, 3/2, 2
What is z in 4*z**4 + 2040*z**3 - 6148*z**2 + 4104*z = 0?
-513, 0, 1, 2
Solve d**5 - 24*d**4 + 164*d**3 - 218*d**2 - 165*d + 242 = 0.
-1, 1, 2, 11
Factor -2*k**4 + 8*k**2.
-2*k**2*(k - 2)*(k + 2)
Solve -2*g**5/3 - 6*g**4 - 50*g**3/3 - 18*g**2 - 20*g/3 = 0 for g.
-5, -2, -1, 0
Factor -3*i**2 + 147*i - 1740.
-3*(i - 29)*(i - 20)
Suppose 4*z**4/5 - 7336*z**3/5 + 4487184*z**2/5 - 916876376*z/5 + 912396524/5 = 0. Calculate z.
1, 611
Factor 242*l**2/7 - 44*l/7 + 2/7.
2*(11*l - 1)**2/7
Find b such that 4*b**3 + 274*b**2/3 + 700*b/3 + 400/3 = 0.
-20, -2, -5/6
Determine p so that 4*p**4 + 24*p**3 - 60*p**2 + 32*p = 0.
-8, 0, 1
Factor -5*a**3 - 5*a**2 + 50*a - 40.
-5*(a - 2)*(a - 1)*(a + 4)
Suppose -2*j**3/11 - 34*j**2/11 - 54*j/11 + 90/11 = 0. What is j?
-15, -3, 1
What is w in 3*w**5/4 - 231*w**4/8 + 543*w**3/8 - 93*w**2/8 - 549*w/8 + 81/2 = 0?
-1, 1, 3/2, 36
Factor -242*f**2 + 880*f - 800.
-2*(11*f - 20)**2
Find c such that -98*c**2/11 + 812*c/11 - 1682/11 = 0.
29/7
Factor 2*j**2 + 164*j - 166.
2*(j - 1)*(j + 83)
Factor 2*v**3/3 + 6*v**2 - 482*v/3 + 154.
2*(v - 11)*(v - 1)*(v + 21)/3
Factor -4*t**4 - 24*t**3 - 48*t**2 - 32*t.
-4*t*(t + 2)**3
Suppose g**2 - 788*g + 2355 = 0. What is g?
3, 785
Let 2*a**3/3 + 16*a**2 + 128*a + 1024/3 = 0. What is a?
-8
Factor -3*h**3/8 - 273*h**2/8 + 2955*h/8 - 7575/8.
-3*(h - 5)**2*(h + 101)/8
Let -16*x**5/5 - 1084*x**4/5 - 3408*x**3 + 46888*x**2/5 + 9632*x - 2940 = 0. What is x?
-35, -1, 1/4, 3
Determine g so that -14*g**5/9 + 848*g**4/3 - 120190*g**3/9 + 418996*g**2/9 - 34888*g - 126736/9 = 0.
-2/7, 2, 89
Find c, given that 3*c**3 - 2280*c**2 - 2289*c + 4566 = 0.
-2, 1, 761
Factor -5*a**2 - 800*a - 32000.
-5*(a + 80)**2
Find o such that o**5/5 + 4*o**4/5 + o**3/5 - 2*o**2 - 4*o/5 + 8/5 = 0.
-2, 1
Solve -2*q**2/7 + 536*q/7 - 35912/7 = 0.
134
Let -o**4 + 4*o**3 + 21*o**2 = 0. Calculate o.
-3, 0, 7
Let 2*m**3/7 + 1242*m**2/7 = 0. What is m?
-621, 0
Determine l, given that 3*l**4 + 84*l**3 + 147*l**2 - 234*l = 0.
-26, -3, 0, 1
Determine k, given that -2*k**4/21 - 8*k**3/7 - 26*k**2/7 - 8*k/3 = 0.
-7, -4, -1, 0
Determine l, given that 26*l**3 + 134*l**2 + 124*l + 16 = 0.
-4, -1, -2/13
Determine v, given that 4*v**5/3 + 208*v**4/3 - 1108*v**3/3 + 1808*v**2/3 - 304*v = 0.
-57, 0, 1, 2
Determine r, given that 4*r**4 + 280*r**3 - 1468*r**2 + 2384*r - 1200 = 0.
-75, 1, 2
Determine p so that 5*p**2 + 2475*p - 2480 = 0.
-496, 1
Suppose -w**2/2 + 9*w + 115/2 = 0. Calculate w.
-5, 23
Factor 2*q**4/3 - 22*q**3/3 + 12*q**2.
2*q**2*(q - 9)*(q - 2)/3
Factor -2*o**2/3 - 512*o/3 - 32768/3.
-2*(o + 128)**2/3
Factor -3*n**3/4 + 51*n**2/4 - 57*n + 45.
-3*(n - 10)*(n - 6)*(n - 1)/4
Factor 40*n**2 - 135*n + 45.
5*(n - 3)*(8*n - 3)
Solve -2*z**2/7 + 70*z + 1992/7 = 0.
-4, 249
Factor -14*s**2/23 + 36*s/23 + 18/23.
-2*(s - 3)*(7*s + 3)/23
Factor 5*h**3 - 575*h**2 - 1170*h.
5*h*(h - 117)*(h + 2)
Factor -2*v**5/17 + 116*v**4/17 + 1008*v**3/17 + 3104*v**2/17 + 4192*v/17 + 2112/17.
-2*(v - 66)*(v + 2)**4/17
Determine l, given that 2*l**2 + 628*l + 49298 = 0.
-157
Determine w so that 20*w**5 + 1840*w**4 - 9535*w**3 + 15915*w**2 - 8730*w = 0.
-97, 0, 3/2, 2
Factor -3*l**2/4 - 81*l - 159.
-3*(l + 2)*(l + 106)/4
Solve -c**2/6 + 100*c/3 - 66 = 0 for c.
2, 198
Solve 5*b**4 + 190*b**3 + 1605*b**2 - 3800*b + 2000 = 0 for b.
-20, 1
Factor j**4/7 - 99*j**3/7 - j**2/7 + 99*j/7.
j*(j - 99)*(j - 1)*(j + 1)/7
Solve -z**4 - 75*z**3 + 474*z**2 - 964*z + 648 = 0 for z.
-81, 2
Factor -m**3 - 14*m**2 + m + 14.
-(m - 1)*(m + 1)*(m + 14)
Find r, given that 2*r**5/7 - 11*r**4/7 + 15*r**3/7 + 5*r**2/7 - 17*r/7 + 6/7 = 0.
-1, 1/2, 1, 2, 3
Determine s, given that 4*s**4 + 64*s**3 + 252*s**2 + 368*s + 176 = 0.
-11, -2, -1
Determine y, given that -5*y**5 - 50*y**4 - 85*y**3 - 40*y**2 = 0.
-8, -1, 0
Factor 2*n**2/5 - 32*n/5 + 78/5.
2*(n - 13)*(n - 3)/5
Factor -2*o**2/5 + 34*o/5 + 336/5.
-2*(o - 24)*(o + 7)/5
Factor h**5 - 4*h**4 + 5*h**3 - 2*h**2.
h**2*(h - 2)*(h - 1)**2
Determine w so that 3*w**2 + 6*w + 3 = 0.
-1
Factor 3*b**2 - 96*b - 555.
3*(b - 37)*(b + 5)
Suppose -2*r**4 + 24*r**3 - 82*r**2 + 60*r = 0. Calculate r.
0, 1, 5, 6
Let -442*u**4 - 322*u**3 + 112*u**2 - 8*u = 0. What is u?
-1, 0, 2/17, 2/13
Factor 2*i**2/7 - 556*i/7 - 160.
2*(i - 280)*(i + 2)/7
Determine o, given that -10*o**5 + 795*o**4 - 16380*o**3 + 22810*o**2 + 390*o - 7605 = 0.
-1/2, 1, 39
Suppose z**2/4 + 73*z + 5329 = 0. What is z?
-146
Determine a so that -a**3 + 474*a**2 = 0.
0, 474
Let 2*n**2 - 72*n + 648 = 0. What is n?
18
Factor -h**4/3 - 25*h**3/3 - 22*h**2 + 4*h/3 + 88/3.
-(h - 1)*(h + 2)**2*(h + 22)/3
Find a such that 3*a**3 - 294*a**2 - 1224*a = 0.
-4, 0, 102
Suppose 525*d**2 + 192*d + 12 = 0. Calculate d.
-2/7, -2/25
Determine s, given that 6*s**5/17 - 4*s**4 - 32*s**3/17 + 1280*s**2/17 + 2048*s/17 = 0.
-8/3, -2, 0, 8
Factor -245*t**4 - 1015*t**3 - 920*t**2 - 240*t.
-5*t*(t + 3)*(7*t + 4)**2
Determine l so that -5*l**3 - 265*l**2 - 760*l - 500 = 0.
-50, -2, -1
Factor b**2/4 - 269*b/2 + 72361/4.
(b - 269)**2/4
Find c such that -c**4/6 - 93*c**3/2 - 2173*c**2/6 - 435*c/2 + 6775/3 = 0.
-271, -5, 2
Factor y**5 + 3*y**4 - 5*y**3 - 3*y**2 + 4*y.
y*(y - 1)**2*(y + 1)*(y + 4)
Factor -2*a**2/3 - 11096*a - 46170456.
-2*(a + 8322)**2/3
Determine q, given that -5*q**2/3 - 3820*q/3 - 729620/3 = 0.
-382
Factor -2*s**4 + 12*s**3 - 8*s**2 - 12*s + 10.
-2*(s - 5)*(s - 1)**2*(s + 1)
Determine s so that -11*s**4/6 - 35*s**3/6 - s**2 + 22*s/3 + 4/3 = 0.
-2, -2/11, 1
Factor 4*a**3 - 52*a + 48.
4*(a - 3)*(a - 1)*(a + 4)
Factor 5*s**3 - 165*s**2 + 1150*s - 1680.
5*(s - 24)*(s - 7)*(s - 2)
Factor w**4 - 8*w**2 + 16.
(w - 2)**2*(w + 2)**2
Factor 4*k**4/7 - 860*k**3/7.
4*k**3*(k - 215)/7
What is a in 2*a**2 - 124*a + 122 = 0?
1, 61
Suppose 275*d**5 - 865*d**4 - 1040*d**3 + 340*d**2 + 240*d = 0. Calculate d.
-1, -2/5, 0, 6/11, 4
Find f, given that f**4/4 - 14*f**3 + 255*f**2/4 = 0.
0, 5, 51
Factor -5*a**4 + 740*a**3 - 28110*a**2 + 54020*a - 26645.
-5*(a - 73)**2*(a - 1)**2
Determine z so that -12*z**2 - 296*z/3 - 64/3 = 0.
-8, -2/9
What is g in 3*g**5/7 - 201*g**4/7 + 3228*g**3/7 + 5916*g**2/7 - 41616*g/7 = 0?
-4, 0, 3, 34
Factor 3*l**3 + 720*l**2 + 43911*l + 84966.
3*(l + 2)*(l + 119)**2
Factor f**5/4 + 5*f**4/2 - 5*f**3 - 50*f**2 + 160*f - 128.
(f - 2)**3*(f + 8)**2/4
Find k, given that 5*k**2 - 80*k + 315 = 0.
7, 9
Suppose -3*w**3 + 57*w**2 + 60*w = 0. What is w?
-1, 0, 20
Solve i**4/6 - 8*i**3/3 + 32*i**2/3 = 0.
0, 8
Factor -4*p**2 - 204*p + 208.
-4*(p - 1)*(p + 52)
Factor -t**4/4 + 21*t**3/4 - 153*t**2/4 + 427*t/4 - 147/2.
-(t - 7)**2*(t - 6)*(t - 1)/4
Factor -s**3 + 15*s**2 + 16*s.
-s*(s - 16)*(s + 1)
Determine a so that 3*a**2 - 432 = 0.
-12, 12
Factor -5*u**4 - 20*u**3 + 15*u**2 + 70*u + 40.
-5*(u - 2)*(u + 1)**2*(u + 4)
Factor -2*c**3/7 - 32*c**2/7 - 138*c/7 - 180/7.
-2*(c + 3)**2*(c + 10)/7
Determine m, given that 3*m**2/7 - 144*m/7 + 528/7 = 0.
4, 44
Factor 3*c**3 - 42*c**2 - 96*c.
3*c*(c - 16)*(c + 2)
Factor 3*j**4 + 23*j**3 - 193*j**2 + 213*j + 234.
(j - 3)**2*(j + 13)*(3*j + 2)
Factor -2*k**2/7 + 82*k/7 + 564/7.
-2*(k - 47)*(k + 6)/7
Factor -3*g**4 - 120*g**3 - 1188*g**2 - 2112*g + 9984.
-3*(g - 2)*(g + 8)**2*(g + 26)
Find b such that -3*b**5/4 + 51*b**3/4 - 27*b**2 + 15*b = 0.
-5, 0, 1, 2
Factor 20*f**2 + 624*f - 644.
4*(f - 1)*(5*f + 161)
Let -5*v**2 - 20*v + 160 = 0. What is v?
-8, 4
Factor 225*x**3 - 906*x**2 + 24*x.
3*x*(x - 4)*(75*x - 2)
Factor -2*z**3/5 + 34*z**2/5 - 38*z + 70.
-2*(z - 7)*(z - 5)**2/5
Find q, given that -q**3/5 + 11*q**2 - 175*q + 625 = 0.
5, 25
Solve 3*l**4 + 198*l**3 - 621*l**2 + 12*l + 828 = 0.
-69, -1, 2
Factor y**5 + 11*y**4 - 240*y**3 + 828*y**2.
y**2*(y - 6)**2*(y + 23)
Suppose -q**5/5 - 8*q**4 - 561*q**3/5 - 3182*q**2/5 - 6188*q/5 - 3528/5 = 0. What is q?
-14, -9, -2, -1
Factor -5*g**3/3 - 583*g**2/3 + 824*g/3 - 