5*q**4 + 2705*q**3 - 361770*q**2 - 1104320*q - 739840 = 0. What is q?
-2, -1, 272
Find n such that 4*n**3/7 - 104*n**2/7 + 676*n/7 = 0.
0, 13
Factor 2*t**4/15 - 6*t**3/5 - 4*t**2/3.
2*t**2*(t - 10)*(t + 1)/15
Factor -20*s**3 + 2475*s**2 - 4260*s - 1220.
-5*(s - 122)*(s - 2)*(4*s + 1)
Suppose -5*z**5 - 75*z**4 + 435*z**3 + 1075*z**2 + 570*z = 0. Calculate z.
-19, -1, 0, 6
Factor -2*b**4/3 - 64*b**3 - 4412*b**2/3 + 3136*b - 4802/3.
-2*(b - 1)**2*(b + 49)**2/3
Suppose -4*s**3 - 520*s**2 - 16900*s = 0. What is s?
-65, 0
Find l such that 9*l**5/4 + 33*l**4/2 + 21*l**3/4 = 0.
-7, -1/3, 0
Solve -2*a**3 + 8*a**2 - 10*a + 4 = 0.
1, 2
Solve 3*w**3 - 231*w**2 - 240*w + 468 = 0.
-2, 1, 78
Determine t so that -5*t**3 + 45*t**2 - 100*t + 60 = 0.
1, 2, 6
Factor 2*t**3 - 24*t**2 - 18*t + 216.
2*(t - 12)*(t - 3)*(t + 3)
Factor n**2/3.
n**2/3
Factor 9*b**2 - 20*b - 21.
(b - 3)*(9*b + 7)
Find l such that -35*l**3 + 10*l**2 + 560*l - 160 = 0.
-4, 2/7, 4
Factor -2*h**2 - 20*h - 18.
-2*(h + 1)*(h + 9)
Factor -4*u**3 - 12*u**2 + 16.
-4*(u - 1)*(u + 2)**2
Let 9*c**5/4 - 15*c**4 + 69*c**3/4 + 15*c**2/2 = 0. What is c?
-1/3, 0, 2, 5
Factor -3*m**2 - 1446*m - 174243.
-3*(m + 241)**2
Let -2*y**2 - 6*y + 108 = 0. Calculate y.
-9, 6
Factor 2*m**4/17 + 250*m**3/17 + 10332*m**2/17 + 137592*m/17 - 148176/17.
2*(m - 1)*(m + 42)**3/17
Factor 4*b**3 + 124*b**2 + 924*b + 1764.
4*(b + 3)*(b + 7)*(b + 21)
Find p such that p**4/4 - 59*p**3/2 - 239*p**2/4 - 30*p = 0.
-1, 0, 120
Factor 2*l**3/19 + 116*l**2/19 + 1792*l/19 + 3136/19.
2*(l + 2)*(l + 28)**2/19
Solve -2*d**4/11 - 70*d**3/11 + 228*d**2/11 - 8*d/11 - 304/11 = 0.
-38, -1, 2
Factor -5*u**3 + 115*u**2 - 555*u + 765.
-5*(u - 17)*(u - 3)**2
Factor 2*i**2/5 + 18*i/5 + 36/5.
2*(i + 3)*(i + 6)/5
Factor 4*j**4/3 - 424*j**3/3 + 5456*j**2 - 269080*j/3 + 1549132/3.
4*(j - 31)**3*(j - 13)/3
Factor 9*j**2/4 + 3597*j/2 + 2397/4.
3*(j + 799)*(3*j + 1)/4
Factor -5*p**3 - 35*p**2 - 40*p + 80.
-5*(p - 1)*(p + 4)**2
What is c in -22*c**4/15 - 1492*c**3/15 - 7866*c**2/5 + 11648*c/3 - 1960/3 = 0?
-35, 2/11, 2
Factor -4*x**4/3 + 128*x**3/3 - 244*x**2/3 + 40*x.
-4*x*(x - 30)*(x - 1)**2/3
Suppose 18*n**3/13 + 1038*n**2/13 + 686*n/13 + 114/13 = 0. Calculate n.
-57, -1/3
Determine k so that -k**2/3 + 4756*k - 16964652 = 0.
7134
Find l, given that -33*l**3 - 345*l**2 - 396*l + 324 = 0.
-9, -2, 6/11
Let -100*c**3 + 3520*c**2 - 34196*c + 55112 = 0. Calculate c.
2, 83/5
Factor -p**5 + 6*p**4 - 13*p**3 + 12*p**2 - 4*p.
-p*(p - 2)**2*(p - 1)**2
Factor 5*l**2 - 420*l - 425.
5*(l - 85)*(l + 1)
What is i in i**3/5 + 38*i**2/5 - 83*i + 376/5 = 0?
-47, 1, 8
Factor -3*c**4 - 111*c**3 - 759*c**2 - 1881*c - 1566.
-3*(c + 2)*(c + 3)**2*(c + 29)
Factor 5*t**2/2 - 85*t/2 - 95.
5*(t - 19)*(t + 2)/2
Factor 6*h**2/17 - 2812*h/17 - 938/17.
2*(h - 469)*(3*h + 1)/17
Factor -4*k**4/3 + 184*k**3/3.
-4*k**3*(k - 46)/3
Factor -2*k**4 + 32*k**3 + 34*k**2.
-2*k**2*(k - 17)*(k + 1)
Factor 2*n**3/3 + 260*n**2/3 - 526*n/3 + 88.
2*(n - 1)**2*(n + 132)/3
Suppose -4*b**5 + 8*b**4 + 12*b**3 - 32*b**2 + 16*b = 0. Calculate b.
-2, 0, 1, 2
Solve 2*h**3/7 - 2*h**2 - 48*h/7 + 360/7 = 0 for h.
-5, 6
Find y such that 2*y**4/11 - 10*y**3/11 - 16*y**2/11 + 24*y/11 = 0.
-2, 0, 1, 6
Factor d**3/3 + 61*d**2 + 2821*d + 8281/3.
(d + 1)*(d + 91)**2/3
Determine a so that a**4/7 - 14*a**3 + 2493*a**2/7 - 4320*a/7 - 6912/7 = 0.
-1, 3, 48
Factor 2*d**3/5 - 236*d**2/5 + 46*d + 468/5.
2*(d - 117)*(d - 2)*(d + 1)/5
Find t, given that -t**5/6 - t**4/2 + 5*t**3/6 + t**2/2 - 2*t/3 = 0.
-4, -1, 0, 1
Let 5*r**3 - 5*r = 0. What is r?
-1, 0, 1
Determine w, given that -2*w**3/11 + 24*w/11 - 32/11 = 0.
-4, 2
Suppose -l**4/4 + 3*l**3/2 + 48*l**2 - 32*l - 1536 = 0. What is l?
-8, 6, 16
Factor -52*k**2 + 68*k.
-4*k*(13*k - 17)
Find v such that v**2 - 1 = 0.
-1, 1
Factor 2*m**3/5 - 62*m**2/5 + 528*m/5 - 1368/5.
2*(m - 19)*(m - 6)**2/5
Let -2*d**5/19 + 36*d**4/19 - 64*d**3/19 - 4*d**2/19 + 66*d/19 - 32/19 = 0. Calculate d.
-1, 1, 16
Factor 4*g**4 - 2648*g**3 - 4*g**2 + 2648*g.
4*g*(g - 662)*(g - 1)*(g + 1)
Determine p so that 4*p**4 - 508*p**3 + 16380*p**2 - 15876*p = 0.
0, 1, 63
Determine n so that 2*n**4/11 - 26*n**3/11 + 2*n**2 + 26*n/11 - 24/11 = 0.
-1, 1, 12
Factor -3*z**3/4 - 711*z**2/4 - 43173*z/4 - 123201/4.
-3*(z + 3)*(z + 117)**2/4
Find x such that 2*x**2/15 - 248*x/5 + 23064/5 = 0.
186
Determine t so that -4*t**2 + 480*t - 476 = 0.
1, 119
Solve q**2/7 - 36*q + 2268 = 0.
126
Factor 7*p**2/5 + 152*p/5 - 44/5.
(p + 22)*(7*p - 2)/5
Factor -3*w**4/2 + 1182*w**3 - 349281*w**2 + 45872238*w - 4518415443/2.
-3*(w - 197)**4/2
Factor -b**4/3 + 4*b**3/3 + 30*b**2 + 108*b + 117.
-(b - 13)*(b + 3)**3/3
Factor 2*d**2/9 + 4*d/3 + 16/9.
2*(d + 2)*(d + 4)/9
Suppose -z**5/6 + 7*z**4/2 + 68*z**3/3 - 26*z**2 = 0. What is z?
-6, 0, 1, 26
Suppose 6*m**3 + 406*m**2 + 266*m - 134 = 0. What is m?
-67, -1, 1/3
Factor 14*x**2/17 - 1250*x/17 + 356/17.
2*(x - 89)*(7*x - 2)/17
Let -4*n**3 - 232*n**2 - 1004*n + 2968 = 0. What is n?
-53, -7, 2
Solve -5820*c**2 + 1955*c - 5 = 0 for c.
1/388, 1/3
Factor -z**4/10 + z**3/2 - 4*z**2/5 + 2*z/5.
-z*(z - 2)**2*(z - 1)/10
Find w, given that -14*w**2/11 + 256*w/11 - 72/11 = 0.
2/7, 18
What is m in -30*m**5 + 1475*m**4 + 60*m**3 - 2950*m**2 - 30*m + 1475 = 0?
-1, 1, 295/6
Find x, given that x**4/5 + 2*x**3 - 47*x**2/5 - 72*x + 1296/5 = 0.
-9, 4
Factor -5*d**5 - 10*d**4 + 15*d**3 + 20*d**2 - 20*d.
-5*d*(d - 1)**2*(d + 2)**2
Suppose 8*r**5/15 + 2*r**4/3 + 2*r**3/15 = 0. Calculate r.
-1, -1/4, 0
Solve -t**2/5 + 29*t/5 - 28/5 = 0.
1, 28
Factor l**3 + 7*l**2 + 14*l + 8.
(l + 1)*(l + 2)*(l + 4)
Find w such that -5*w**3 + 71*w**2/3 + 560*w/3 + 48 = 0.
-4, -4/15, 9
Factor 4*r**3/3 + 196*r**2/3 + 380*r/3 + 188/3.
4*(r + 1)**2*(r + 47)/3
Factor z**3/3 - 29*z**2/3 + 224*z/3 - 196/3.
(z - 14)**2*(z - 1)/3
Factor -2*o**2/13 - 82*o/13 - 228/13.
-2*(o + 3)*(o + 38)/13
Solve 5*s**4 + 210*s**3 + 2080*s**2 + 3360*s = 0 for s.
-28, -12, -2, 0
Find c such that 2*c**4/5 + 3806*c**3/5 + 1804986*c**2/5 - 1088326*c + 3632836/5 = 0.
-953, 1, 2
Find x such that 8*x**4 - 38*x**3 + 12*x**2 + 90*x = 0.
-5/4, 0, 3
Factor a**2/3 - 7*a + 20/3.
(a - 20)*(a - 1)/3
Suppose a**4/4 + a**3 - a**2/4 - 4*a - 3 = 0. What is a?
-3, -2, -1, 2
Factor -2*u**2/5 + 58*u/5 - 308/5.
-2*(u - 22)*(u - 7)/5
What is z in 2*z**4/11 - 30*z**3 + 1296*z**2/11 - 1288*z/11 = 0?
0, 2, 161
Find r such that -3*r**2 + 510*r - 21675 = 0.
85
Factor -t**5 + t**4 + 6*t**3.
-t**3*(t - 3)*(t + 2)
Let -117*v**3/5 + 942*v**2/5 - 1452*v/5 + 72/5 = 0. What is v?
2/39, 2, 6
Let -4*i**4 + 232*i**3 - 3124*i**2 - 6960*i - 3600 = 0. Calculate i.
-1, 30
Suppose i**5/12 - 5*i**4/6 - 67*i**3/12 - 29*i**2/3 - 5*i = 0. What is i?
-2, -1, 0, 15
Factor 54*y**2/13 + 42*y/13 + 8/13.
2*(3*y + 1)*(9*y + 4)/13
Let 5*q**4/4 - 425*q**3/4 + 965*q**2/2 + 1400*q = 0. What is q?
-2, 0, 7, 80
Factor 5*c**4 - 5*c**3 - 85*c**2 - 75*c.
5*c*(c - 5)*(c + 1)*(c + 3)
Factor -12*m**2 + 932*m - 1520.
-4*(m - 76)*(3*m - 5)
Factor -b**2/4 + b - 3/4.
-(b - 3)*(b - 1)/4
What is i in 4*i**3 - 80*i**2 = 0?
0, 20
Factor -f**4/2 + 47*f**3 + 294*f**2 + 596*f + 400.
-(f - 100)*(f + 2)**3/2
What is z in -3*z**2 - 1632*z = 0?
-544, 0
Factor u**5 - 5*u**4 - 3*u**3 + 17*u**2 - 10*u.
u*(u - 5)*(u - 1)**2*(u + 2)
Let -6*h**2/5 - 3662*h/5 + 2444/5 = 0. What is h?
-611, 2/3
What is y in -3*y**2/4 - 135*y + 543/4 = 0?
-181, 1
Suppose 5*p**2 + 1305*p + 1300 = 0. What is p?
-260, -1
Determine v, given that v**5/2 + 14*v**4 + 34*v**3 - 95*v**2 - 357*v/2 + 225 = 0.
-25, -3, 1, 2
Factor -10*i**5 + 85*i**4 - 40*i**3.
-5*i**3*(i - 8)*(2*i - 1)
Let -5*g**3 - 15*g**2 + 540*g + 1100 = 0. Calculate g.
-11, -2, 10
Suppose o**3/5 + 44*o**2/5 + 95*o = 0. Calculate o.
-25, -19, 0
Factor -107*k**2 + 105*k + 2.
-(k - 1)*(107*k + 2)
Suppose -147*w**3 - 3024*w**2 - 1692*w - 240 = 0. Calculate w.
-20, -2/7
Let -z**4 + 2*z**3 + 224*z**2 = 0. Calculate z.
-14, 0, 16
Factor -4*x**4 - 264*x**3 + 268*x**2.
-4*x**2*(x - 1)*(x + 67)
Determine v so that -2*v**5 + 8*v**4 - 6*v**3 - 8*v**2 + 8*v = 0.
-1, 0, 1, 2
Factor r**2/5 + 82*r/5 + 312/5.
(r + 4)*(r + 78)/5
Factor -3*b**4/2 + 7*b**3/2 + 7*b**2 - 12*b.
-b*(b - 3)*(b + 2)*(3*b - 4)/2
Factor -9*b**3 - 48*b**2 - 9*b + 30.
-3*(b + 1)*(b + 5)*(3*b - 2)
Factor -c**2 - 241*c - 1180.
-(c + 5)*(c + 236)
So