 2, 460
Factor -4*o**3 + 188*o**2 + 388*o + 196.
-4*(o - 49)*(o + 1)**2
Factor 5*y**5 - 20*y**4 - 55*y**3 - 30*y**2.
5*y**2*(y - 6)*(y + 1)**2
Let -m**2/2 + 2*m = 0. What is m?
0, 4
Let -d**3/5 - 5*d**2 - 46*d/5 = 0. What is d?
-23, -2, 0
What is l in 12*l**5 + 52*l**4 - 4*l**3 - 84*l**2 - 8*l + 32 = 0?
-4, -1, 2/3, 1
Factor 2*n**3 - 96*n**2 - 206*n + 300.
2*(n - 50)*(n - 1)*(n + 3)
Factor -2*n**3/5 - 24*n**2/5 - 42*n/5 + 196/5.
-2*(n - 2)*(n + 7)**2/5
What is o in 4*o**3/3 - 68*o**2/3 - 24*o = 0?
-1, 0, 18
What is a in 3*a**4/4 - 63*a**3/4 + 369*a**2/4 - 465*a/4 - 225 = 0?
-1, 5, 12
Factor 3*t**3/2 + 75*t**2/2 - 39*t.
3*t*(t - 1)*(t + 26)/2
Determine t, given that -160*t**2 + 161*t - 1 = 0.
1/160, 1
Factor 5*n**2 - 50*n + 120.
5*(n - 6)*(n - 4)
Find l, given that -5*l**3 + 510*l**2 - 13005*l = 0.
0, 51
Factor -2*a**4 - 70*a**3 - 552*a**2 + 1512*a + 7776.
-2*(a - 4)*(a + 3)*(a + 18)**2
Solve 2*r**5 + 4*r**4 - 18*r**3 - 28*r**2 + 40*r + 48 = 0.
-3, -2, -1, 2
Factor -3*q**2/4 + 6*q + 99/4.
-3*(q - 11)*(q + 3)/4
Find o such that -1585081*o**4/3 + 5036*o**3/3 - 4*o**2/3 = 0.
0, 2/1259
Factor p**5/2 + 2*p**4 + p**3/2 - 5*p**2 - 2*p + 4.
(p - 1)**2*(p + 2)**3/2
Find k such that 5*k**2 - 55*k - 630 = 0.
-7, 18
Factor n**3 - 12*n**2 + 11*n.
n*(n - 11)*(n - 1)
What is o in 3*o**4/4 - 39*o**3/4 - 87*o**2/4 - 45*o/4 = 0?
-1, 0, 15
Factor -4*v**2/5 - 108*v/5 - 104/5.
-4*(v + 1)*(v + 26)/5
Solve x**5 - 43*x**4 + 79*x**3 + 127*x**2 - 160*x - 164 = 0 for x.
-1, 2, 41
Factor 3*t**2/2 - 381*t + 48387/2.
3*(t - 127)**2/2
Factor -4*i**2 + 3712*i - 861184.
-4*(i - 464)**2
What is t in 3*t**2 + 60*t - 132 = 0?
-22, 2
Solve -2*a**2 - 20*a + 1008 = 0 for a.
-28, 18
Solve -3*u**2/5 + 6*u/5 + 9/5 = 0 for u.
-1, 3
Determine v so that -2*v**2 - 448*v - 25088 = 0.
-112
Let -4*v**2 + 68*v = 0. What is v?
0, 17
Find d such that 2*d**4/9 + 120*d**3 + 24300*d**2 + 2187000*d + 73811250 = 0.
-135
Factor 226845*n**3 - 231105*n**2 + 4280*n - 20.
5*(n - 1)*(213*n - 2)**2
Suppose -o**4/4 - 3*o**3/4 + 11*o**2/2 + 6*o = 0. Calculate o.
-6, -1, 0, 4
Factor -x**3/2 + 13*x/2 + 6.
-(x - 4)*(x + 1)*(x + 3)/2
Let 3*w**3/4 - 3*w**2 + 15*w/4 - 3/2 = 0. Calculate w.
1, 2
Suppose -5*h**2/3 - 65*h/3 - 60 = 0. What is h?
-9, -4
Suppose -4*j**2/9 + 32*j/9 - 28/9 = 0. Calculate j.
1, 7
Determine k, given that -2*k**4 - 41*k**3/4 - 69*k**2/4 - 10*k - 1 = 0.
-2, -1, -1/8
Factor 2*n**3 + 336*n**2 + 18816*n + 351232.
2*(n + 56)**3
Factor -2*s**3/9 - 2*s**2/3.
-2*s**2*(s + 3)/9
Solve -5*k**2 - 26820*k - 35965620 = 0 for k.
-2682
Find g, given that 6*g**4/7 - 162*g**3/7 - 5322*g**2/7 - 2106*g - 9588/7 = 0.
-17, -2, -1, 47
Factor -5*r**4 + 10*r**3 + 20*r**2 - 10*r - 15.
-5*(r - 3)*(r - 1)*(r + 1)**2
Factor g**2/4 - 79*g + 315/4.
(g - 315)*(g - 1)/4
Solve 20*i**4/9 + 58*i**3/9 + 6*i**2 + 14*i/9 - 2/9 = 0 for i.
-1, 1/10
Factor 8*w**3/3 - 35*w**2/3 - 28*w/3 + 5.
(w - 5)*(w + 1)*(8*w - 3)/3
Determine c so that -9*c**5 + 708*c**4 - 9169*c**3 - 195430*c**2 - 247500*c - 81000 = 0.
-10, -2/3, 45
Factor i**4/4 + 5*i**3/4 + 3*i**2/4 - 9*i/4.
i*(i - 1)*(i + 3)**2/4
Determine p so that 3*p**5 + 18*p**4 - 33*p**3 - 180*p**2 + 300*p = 0.
-5, 0, 2
Factor v**5 - 4*v**4 + v**3 + 14*v**2 - 20*v + 8.
(v - 2)**2*(v - 1)**2*(v + 2)
Factor 3*q**2 + 45*q - 48.
3*(q - 1)*(q + 16)
Factor 5*z**5 - 90*z**4 + 70*z**3 + 7840*z**2 - 56595*z + 120050.
5*(z - 7)**4*(z + 10)
Suppose 4*p**3 + 124*p**2 + 984*p + 864 = 0. What is p?
-18, -12, -1
Determine y, given that 2*y**5/15 - 14*y**3/15 - 4*y**2/15 + 8*y/5 + 16/15 = 0.
-2, -1, 2
What is q in q**4 - 31*q**3 + 87*q**2 - 85*q + 28 = 0?
1, 28
Solve -t**4/4 - 215*t**3/4 + 54*t**2 = 0 for t.
-216, 0, 1
Determine k, given that -k**5 + 19*k**4 - 15*k**3 - 55*k**2 + 16*k + 36 = 0.
-1, 1, 2, 18
Determine i so that i**2 + 78*i + 77 = 0.
-77, -1
Determine t, given that 4*t**2/3 + 14*t/3 + 4 = 0.
-2, -3/2
Solve r**5/6 - r**4/2 - r**3/6 + r**2/2 = 0 for r.
-1, 0, 1, 3
Find k such that -2*k**3/13 + 62*k/13 - 60/13 = 0.
-6, 1, 5
Determine z so that -3*z**5/5 + 9*z**3/5 - 6*z**2/5 = 0.
-2, 0, 1
Let -5*d**3 - 5*d**2 + 80*d + 80 = 0. What is d?
-4, -1, 4
Factor h**2 + 82*h.
h*(h + 82)
Let -5*g**5 - 10*g**4 - 5*g**3 = 0. Calculate g.
-1, 0
Find i such that 4*i**5/3 - 8*i**4/3 - 104*i**3/3 + 108*i - 72 = 0.
-3, 1, 6
Factor t**5/6 - 19*t**4/6 + 17*t**3/3 + t**2/3 - 35*t/6 + 17/6.
(t - 17)*(t - 1)**3*(t + 1)/6
Solve -o**5 - o**4 + 8*o**3 + 12*o**2 = 0.
-2, 0, 3
Factor -4*f**3 - 276*f**2 + 1800*f.
-4*f*(f - 6)*(f + 75)
What is t in -t**2 + 23*t + 24 = 0?
-1, 24
Factor -p**3/2 + 61*p**2/2 + p/2 - 61/2.
-(p - 61)*(p - 1)*(p + 1)/2
Factor 3*f**3/4 - 117*f**2/4 + 225*f/4 - 111/4.
3*(f - 37)*(f - 1)**2/4
Solve -20*j**2 + 64*j - 12 = 0.
1/5, 3
Factor 3*o**5/7 + 159*o**4/7 + 2334*o**3/7 + 6078*o**2/7 + 825*o + 1875/7.
3*(o + 1)**3*(o + 25)**2/7
Factor -4*h**3 - 44*h**2 - 124*h - 84.
-4*(h + 1)*(h + 3)*(h + 7)
Let 2*g**5 - 6*g**4 - 4*g**3 + 24*g**2 - 16*g = 0. What is g?
-2, 0, 1, 2
Let 58*r**2 - 42*r - 148 = 0. What is r?
-37/29, 2
Factor -2*b**2 - 12*b + 224.
-2*(b - 8)*(b + 14)
Factor 2*h**3 - 1354*h**2 + 5392*h - 5384.
2*(h - 673)*(h - 2)**2
Factor -8*a**2/7 + 1635*a/7 + 1025/7.
-(a - 205)*(8*a + 5)/7
Factor -2*d**3/3 + 2*d**2 + 20*d/3.
-2*d*(d - 5)*(d + 2)/3
Determine a, given that 2*a**3/7 - 6*a**2/7 - 92*a/7 + 96/7 = 0.
-6, 1, 8
Let -2*z**2 + 4*z = 0. Calculate z.
0, 2
Factor -334084*j**3 - 69360*j**2 - 3600*j.
-4*j*(289*j + 30)**2
Factor 20*i**3/3 - 188*i**2/9 + 16*i - 16/9.
4*(i - 2)*(i - 1)*(15*i - 2)/9
Let 2*w**4 + 946*w**3 + 148836*w**2 + 7738840*w - 7888624 = 0. Calculate w.
-158, 1
Factor 2*r**3/21 - 2134*r**2/7 + 1708800*r/7 - 5120000/21.
2*(r - 1600)**2*(r - 1)/21
What is b in -2*b**4/5 - 3096*b**3/5 = 0?
-1548, 0
Factor -5*n**3 - 4415*n**2 + 13280*n - 8860.
-5*(n - 2)*(n - 1)*(n + 886)
Solve -2*z**3/9 + 20*z**2/9 + 122*z/9 - 140/9 = 0.
-5, 1, 14
Determine u so that 4*u**2 - 104*u + 676 = 0.
13
Factor -2*h**2/15 - 56*h/3 - 1960/3.
-2*(h + 70)**2/15
Find x such that 3*x**5 - 126*x**4 + 1542*x**3 - 4428*x**2 + 399*x + 6498 = 0.
-1, 2, 3, 19
Find q, given that -2*q**5 - 102*q**4 + 896*q**3 - 2768*q**2 + 3744*q - 1888 = 0.
-59, 2
Solve 4*r**2/9 + 11104*r/9 + 7706176/9 = 0 for r.
-1388
Find b such that -2*b**4 - 78*b**3 - 522*b**2 - 818*b - 372 = 0.
-31, -6, -1
Suppose -b**2/10 + 302*b/5 + 121/2 = 0. Calculate b.
-1, 605
Solve -12*v**5 - 184*v**4 + 564*v**3 - 224*v**2 - 144*v = 0.
-18, -1/3, 0, 1, 2
Factor 4*s**3 - 280*s**2 + 3712*s - 13824.
4*(s - 54)*(s - 8)**2
What is d in -2*d**4 - 90*d**3 + 6*d**2 + 266*d - 180 = 0?
-45, -2, 1
What is s in s**4 + s**3 - 2*s**2 = 0?
-2, 0, 1
Factor -2*m**3/3 - 23*m**2/3 - 11*m/3.
-m*(m + 11)*(2*m + 1)/3
Determine a, given that a**3/3 - 41*a**2 - 83*a - 125/3 = 0.
-1, 125
Solve 4*r**3 - 32*r**2 + 36*r + 72 = 0 for r.
-1, 3, 6
Factor 2*s**5/9 + 2*s**4/9 - 10*s**3/9 + 2*s**2/3.
2*s**2*(s - 1)**2*(s + 3)/9
Find f, given that 2*f**5 - 42*f**4 - 60*f**3 + 3100*f**2 + 8250*f - 11250 = 0.
-5, 1, 15
Let -16*q**2/5 + 45*q - 14/5 = 0. What is q?
1/16, 14
Suppose -54*d**5 + 108*d**4 + 360*d**3 + 268*d**2 + 78*d + 8 = 0. What is d?
-1, -1/3, 4
Let -2*o**2/9 + 578*o/9 + 580/9 = 0. Calculate o.
-1, 290
Factor 2*m**5 - 50*m**4 + 336*m**3 - 288*m**2.
2*m**2*(m - 12)**2*(m - 1)
Solve -2*j**4 + 66*j**3 - 350*j**2 - 3306*j - 2888 = 0.
-4, -1, 19
Factor -u**4/4 - 2*u**3 - 4*u**2.
-u**2*(u + 4)**2/4
What is o in 5*o**2/3 - 665*o - 8060/3 = 0?
-4, 403
Solve 4*h**3/3 - 73*h**2/3 + 146*h/3 - 32/3 = 0 for h.
1/4, 2, 16
Determine h, given that 2*h**3 + 6*h**2 = 0.
-3, 0
Let -i**3 + 8*i**2 + 33*i = 0. What is i?
-3, 0, 11
Find b, given that -b**4/2 - 88*b**3 - 3870*b**2 + 352*b + 15488 = 0.
-88, -2, 2
Factor 2*j**5/13 - 30*j**4/13 + 54*j**3/13 - 2*j**2.
2*j**2*(j - 13)*(j - 1)**2/13
What is m in -45*m**4 - 3480*m**3 + 21010*m**2 - 12840*m + 2075 = 0?
-83, 1/3, 5
Find v, given that 2*v**3 - 120*v**2 + 1408*v = 0.
0, 16, 44
Factor -3*p**2/5 + 882*p/5 - 64827/5.
-3*(p - 147)**2/5
Factor 2*p**4/13 - 14*p**3/13 + 24*p**2/13.
2*p**2*(p - 4)*(p - 3)/13
Factor 5*n**2 - 120*n + 715.
5*(n - 13)*(n - 11)
Solve 10*g**5/19 + 84*g**4/19 + 22*g**3/19 - 84*g**2/19 - 32*g/19 = 0 for g.
-8, -1, -2/5, 0, 1
Determine v so that -27*v**5 - 438*v**4 - 1338*v**3 + 3612*v**2 - 1323*v - 486 = 0.
-9, -2/9, 1
Factor