r 4*g**3 + 20*g**2 + 12*g - 36.
4*(g - 1)*(g + 3)**2
Factor -3*s**3 - 21*s**2 + 90*s.
-3*s*(s - 3)*(s + 10)
Find q such that -5*q**2 + 45*q - 40 = 0.
1, 8
Suppose 4*w**3 - 28*w + 24 = 0. What is w?
-3, 1, 2
Determine x so that -35*x**5 - 1285*x**4 - 6140*x**3 + 1860*x**2 = 0.
-31, -6, 0, 2/7
Let -3*b**3 - 18*b**2 + 48*b = 0. What is b?
-8, 0, 2
Factor -d**3/5 - 24*d**2/5 - 144*d/5.
-d*(d + 12)**2/5
Factor -2*j**2 + 972*j.
-2*j*(j - 486)
Factor -i**4/6 + i**3/2 + 16*i**2/3 + 10*i + 16/3.
-(i - 8)*(i + 1)*(i + 2)**2/6
What is c in -5*c**3 - 130*c**2 + 5*c + 130 = 0?
-26, -1, 1
Factor 2*w**3/13 - 80*w**2/13 + 288*w/13.
2*w*(w - 36)*(w - 4)/13
Let -c**4 + 15*c**3 - 38*c**2 + 24*c = 0. Calculate c.
0, 1, 2, 12
Factor 5*t**3 - 70*t**2 + 245*t.
5*t*(t - 7)**2
Solve 3*b**5 - 150*b**4 - 2313*b**3 - 8964*b**2 - 6804*b = 0 for b.
-6, -1, 0, 63
Find y, given that -4*y**4/7 + 76*y**3/7 - 44*y**2 + 404*y/7 - 24 = 0.
1, 3, 14
Let -1958*m**2 - 224*m + 24 = 0. Calculate m.
-2/11, 6/89
Factor 2*r**5/5 + 54*r**4/5 + 102*r**3/5 + 10*r**2.
2*r**2*(r + 1)**2*(r + 25)/5
Factor v**3/2 - 15*v**2/2 - 74*v - 66.
(v - 22)*(v + 1)*(v + 6)/2
Factor 2*f**2/3 + 16*f + 46/3.
2*(f + 1)*(f + 23)/3
Factor u**4 + u**3 - 4*u**2 - 4*u.
u*(u - 2)*(u + 1)*(u + 2)
What is g in -15*g**2 + 126*g - 48 = 0?
2/5, 8
Let 4*m**2 + 116*m + 112 = 0. Calculate m.
-28, -1
Solve 4*x**2 + 312*x + 608 = 0.
-76, -2
Solve v**3 - 193*v**2 - 389*v - 195 = 0 for v.
-1, 195
Determine i, given that -12*i**5 + 28*i**4 + 84*i**3 + 4*i**2 - 72*i - 32 = 0.
-1, -2/3, 1, 4
Let -x**3/9 + 118*x**2/9 + 361*x/9 + 242/9 = 0. Calculate x.
-2, -1, 121
Find z such that -2*z**2 + 82*z - 80 = 0.
1, 40
Determine j so that -19*j**3/3 - 55*j**2/3 - 32*j/3 + 4/3 = 0.
-2, -1, 2/19
Factor -i**4/3 - 5*i**3/3 - 7*i**2/3 - i.
-i*(i + 1)**2*(i + 3)/3
Solve 2*k**4 - 2*k**3 - 80*k**2 - 232*k - 192 = 0.
-3, -2, 8
Factor -n**2 + 2*n - 1.
-(n - 1)**2
Factor 4*f**3/5 - 24*f**2/5 + 4*f.
4*f*(f - 5)*(f - 1)/5
Suppose j**2 + 90*j - 576 = 0. What is j?
-96, 6
Factor -4*q**2 + 336*q - 7056.
-4*(q - 42)**2
Factor 2*n**3/3 + 20*n**2/3 + 46*n/3 + 28/3.
2*(n + 1)*(n + 2)*(n + 7)/3
Factor 2*v**4/13 + 12*v**3/13 + 24*v**2/13 + 20*v/13 + 6/13.
2*(v + 1)**3*(v + 3)/13
What is z in 78*z**2/11 - 636*z/11 + 96/11 = 0?
2/13, 8
Find z, given that -8*z**4/5 - 6*z**3 + 16*z**2/5 + 6*z - 8/5 = 0.
-4, -1, 1/4, 1
Factor 15625*k**3 + 750*k**2 + 9*k.
k*(125*k + 3)**2
Factor -2*a**3 - 132*a**2 + 146*a + 804.
-2*(a - 3)*(a + 2)*(a + 67)
Factor 5*a**3 - 95*a**2 + 495*a - 405.
5*(a - 9)**2*(a - 1)
Factor -2*x**2 - 88*x + 184.
-2*(x - 2)*(x + 46)
Factor 4*s**3 - 64*s**2 + 304*s - 384.
4*(s - 8)*(s - 6)*(s - 2)
Let -4*n**4/7 + 1968*n**3/7 + 3980*n**2/7 - 13848*n/7 + 7904/7 = 0. What is n?
-4, 1, 494
Factor 4*o**5/7 + 342*o**4/7 + 1080*o**3 + 1512*o**2.
2*o**2*(o + 42)**2*(2*o + 3)/7
Factor 3*h**2 + 39*h + 66.
3*(h + 2)*(h + 11)
Determine h so that -3*h**4 + 81*h**3 - 471*h**2 - 729*h + 1122 = 0.
-2, 1, 11, 17
What is w in -5*w**2 + 90*w + 440 = 0?
-4, 22
Factor -k**3/5 - 96*k**2/5 - 19*k.
-k*(k + 1)*(k + 95)/5
Let 4*x**4/7 - 144*x**3/7 - 796*x**2/7 - 984*x/7 = 0. Calculate x.
-3, -2, 0, 41
Factor y**4/3 + 5*y**3 - 29*y**2 - 215*y/3 - 38.
(y - 6)*(y + 1)**2*(y + 19)/3
Factor 5*g**2 + 55*g - 210.
5*(g - 3)*(g + 14)
Solve p**3/7 + 34*p**2/7 + 64*p/7 = 0.
-32, -2, 0
Let -3*n**4 + 14*n**3 + 49*n**2 + 4*n - 28 = 0. What is n?
-2, -1, 2/3, 7
Find f, given that f**3 + 26*f**2 - 183*f + 288 = 0.
-32, 3
Determine v, given that v**3/2 - 27*v**2/2 + 195*v/2 - 169/2 = 0.
1, 13
Solve 4*j**3 - 200*j**2 - 412*j - 208 = 0 for j.
-1, 52
Factor a**2 - 13*a + 22.
(a - 11)*(a - 2)
What is q in -3*q**4 - 696*q**3 - 43056*q**2 - 311808*q - 602112 = 0?
-112, -4
Factor 5*d**3/3 - 865*d**2 + 149645*d - 25888585/3.
5*(d - 173)**3/3
Factor -3*x**5 - 15*x**4 + 27*x**3 + 39*x**2 - 84*x + 36.
-3*(x - 1)**3*(x + 2)*(x + 6)
Factor 6*w**3 + 591*w**2 + 291*w - 294.
3*(w + 1)*(w + 98)*(2*w - 1)
Factor -m**3/6 - 7*m**2/3 - 25*m/6 - 2.
-(m + 1)**2*(m + 12)/6
Factor 2*m**5 - 18*m**4 + 129*m**3/2 - 115*m**2 + 102*m - 36.
(m - 2)**3*(2*m - 3)**2/2
Determine t so that 3*t**5 + 45*t**4 + 159*t**3 - 45*t**2 - 162*t = 0.
-9, -6, -1, 0, 1
Factor g**3/5 + 47*g**2/5 - g/5 - 47/5.
(g - 1)*(g + 1)*(g + 47)/5
Suppose n**2 - 102*n + 2601 = 0. Calculate n.
51
Solve -2*z**2 + 20*z - 32 = 0 for z.
2, 8
Factor -5*q**3 - 5520*q**2 + 11055*q - 5530.
-5*(q - 1)**2*(q + 1106)
Determine y so that 5*y**5 + 30*y**4 + 15*y**3 - 50*y**2 = 0.
-5, -2, 0, 1
Let -2*b**4/13 + 44*b**2/13 - 48*b/13 - 90/13 = 0. What is b?
-5, -1, 3
Factor w**2 + 1248*w + 389376.
(w + 624)**2
Find m such that -4*m**2 - 884*m + 3600 = 0.
-225, 4
Factor d**4 + 5*d**3 - 31*d**2 - 185*d - 150.
(d - 6)*(d + 1)*(d + 5)**2
Factor j**3 - 23*j**2 + 95*j + 119.
(j - 17)*(j - 7)*(j + 1)
Factor b**3/3 + 71*b**2 - 4*b/3 - 284.
(b - 2)*(b + 2)*(b + 213)/3
Solve 3*h**2 - 39*h - 42 = 0.
-1, 14
Suppose -3*b**4/8 + 3*b**3/8 = 0. Calculate b.
0, 1
Find i, given that -3*i**4 - 247*i**3 + 3478*i**2 - 12468*i + 6840 = 0.
-95, 2/3, 6
Solve 2*x**3/3 + 18*x**2 - 914*x/3 + 286 = 0 for x.
-39, 1, 11
Factor -4*u**4 + 11*u**3 - 5*u**2 - 2*u.
-u*(u - 2)*(u - 1)*(4*u + 1)
Factor -x**2 + 38*x - 37.
-(x - 37)*(x - 1)
Suppose 94*q**2 - 866*q/9 + 20/9 = 0. Calculate q.
10/423, 1
Determine i, given that 620*i**4/3 + 204*i**3 - 2488*i**2/3 - 816*i + 32/3 = 0.
-2, -1, 2/155, 2
Factor -3*b**4/8 - 9*b**3/2 - 33*b**2/4 + 63*b/2 - 147/8.
-3*(b - 1)**2*(b + 7)**2/8
Suppose -2*z**2/5 - 34*z/5 - 32/5 = 0. What is z?
-16, -1
Solve -21*j**2/2 + 69*j/2 - 9 = 0.
2/7, 3
Factor 4*g**4 + 36*g**3 + 80*g**2.
4*g**2*(g + 4)*(g + 5)
Factor -2*j**2/7 - 1156*j/7 - 167042/7.
-2*(j + 289)**2/7
Let v**2 - 16*v + 28 = 0. What is v?
2, 14
Factor -a**2/5 - 92*a/5 - 36.
-(a + 2)*(a + 90)/5
Factor -3*h**2/2 - 72*h - 141/2.
-3*(h + 1)*(h + 47)/2
Solve g**5/4 - 3*g**4/4 - 5*g**3/2 - g**2/2 + 9*g/4 + 5/4 = 0.
-1, 1, 5
Determine j, given that 20*j**3/3 - 92*j**2/3 - 40*j/3 = 0.
-2/5, 0, 5
Factor h**4/10 + h**3/2 + 3*h**2/10 - h/2 - 2/5.
(h - 1)*(h + 1)**2*(h + 4)/10
Suppose -2*a**5/7 + 68*a**4/7 - 360*a**3/7 + 692*a**2/7 - 566*a/7 + 24 = 0. Calculate a.
1, 3, 28
Solve -2*r**3 + 26*r**2 + 58*r + 30 = 0.
-1, 15
Let -r**2/6 + 4387*r/3 - 19245769/6 = 0. What is r?
4387
Factor 2*m**3/17 - 32*m**2/17 - 1240*m/17 - 7200/17.
2*(m - 36)*(m + 10)**2/17
Find m, given that 3*m**3/2 + 33*m**2/2 + 45*m = 0.
-6, -5, 0
Factor 50*b**4 + 105*b**3 + 60*b**2 + 5*b.
5*b*(b + 1)**2*(10*b + 1)
Solve -5*y**5 - 95*y**4 - 170*y**3 + 10*y**2 + 175*y + 85 = 0.
-17, -1, 1
What is n in 2*n**3/5 - 22*n**2/5 - 2*n/5 + 22/5 = 0?
-1, 1, 11
Solve -2*p**3 - 28*p**2 - 50*p - 24 = 0 for p.
-12, -1
Suppose 2*u**3 - 7306*u**2 + 6668550*u + 6675858 = 0. What is u?
-1, 1827
Factor 2*r**3 + 46*r**2 - 348*r.
2*r*(r - 6)*(r + 29)
Solve 16*s**3 - 1284*s**2 + 2816*s - 624 = 0.
1/4, 2, 78
Factor r**2/5 + 48*r/5 + 43.
(r + 5)*(r + 43)/5
Determine f, given that -2*f**2/7 + 326*f/7 + 340 = 0.
-7, 170
Determine u so that -u**5/8 + u**4/4 + 5*u**3/4 - 5*u**2/2 - 9*u/8 + 9/4 = 0.
-3, -1, 1, 2, 3
Determine f so that 4*f**2/7 - 40*f/7 - 96/7 = 0.
-2, 12
Find o, given that -162*o**3/13 + 1494*o**2/13 - 2720*o/13 + 1400/13 = 0.
10/9, 7
Determine t, given that -3*t**3 + 24*t**2 - 39*t + 18 = 0.
1, 6
Factor j**2/2 - 59*j - 363/2.
(j - 121)*(j + 3)/2
Suppose -3*p**4/4 - 9*p**3 - 9*p**2/2 + 39*p - 99/4 = 0. Calculate p.
-11, -3, 1
Suppose 4*p**4 + 8*p**3 - 8*p - 4 = 0. What is p?
-1, 1
Determine a so that -3*a**2 - 75*a/8 - 9/8 = 0.
-3, -1/8
Factor -5*c**2/6 - 95*c/6 - 175/3.
-5*(c + 5)*(c + 14)/6
Solve 4*g**2/7 - 188*g/7 + 984/7 = 0 for g.
6, 41
Suppose j**4 - 76*j**3/3 + 493*j**2/3 - 52*j = 0. What is j?
0, 1/3, 12, 13
Factor -256*n**4 - 166880*n**3 + 187956*n**2 - 141021*n/2 + 17631/2.
-(n + 653)*(8*n - 3)**3/2
Let -2*d**5/5 + 14*d**4 + 2*d**3/5 - 14*d**2 = 0. What is d?
-1, 0, 1, 35
Suppose t**4/3 + 27*t**3 + 1400*t**2/3 = 0. Calculate t.
-56, -25, 0
Find d, given that 4*d**5/7 + 32*d**4/7 + 76*d**3/7 + 32*d**2/7 - 80*d/7 - 64/7 = 0.
-4, -2, -1, 1
Factor o**4/2 + 3*o**3/2 - 2*o**2 - 6*o.
o*(o - 2)*(o + 2)*(o + 3)/2
Suppose -2*j**3/15 - 316*j**2/15 - 12482*j/15 = 0. What is j?
-79, 0
Solve 16*g**5/7 - 100*g**4/7 + 190*g**3/7 - 130*g**2/7 + 10*g/7 + 2 = 0 for g.
-1/4, 1, 7/2
Fac