 - 272*t**2/3 - 4*t/3 + 136/3 = 0?
-1, 1, 34
Let -4*z**4 + 4*z**3 + 68*z**2 + 60*z = 0. Calculate z.
-3, -1, 0, 5
Determine j, given that 4*j**4/5 - 4*j**3/5 - 4*j**2/5 + 4*j/5 = 0.
-1, 0, 1
Factor 4*f**5 + 36*f**4.
4*f**4*(f + 9)
Factor -2*v**4 - 2*v**3 + 4*v**2.
-2*v**2*(v - 1)*(v + 2)
Factor -5*k**2 - 15*k + 20.
-5*(k - 1)*(k + 4)
Factor k**5/6 + k**4/2 + k**3/6 - k**2/2 - k/3.
k*(k - 1)*(k + 1)**2*(k + 2)/6
Determine z, given that z**4/4 - 6*z**3 - 39*z**2/2 - 20*z - 27/4 = 0.
-1, 27
Let -l**2/3 + 11074*l/3 - 30658369/3 = 0. Calculate l.
5537
Determine f, given that -2*f**3/7 + 8*f**2/7 + 2*f - 20/7 = 0.
-2, 1, 5
Let 4*f**5 + 24*f**4 + 36*f**3 + 16*f**2 = 0. Calculate f.
-4, -1, 0
Let -3*d**3/7 - 27*d**2/7 + 9*d - 33/7 = 0. Calculate d.
-11, 1
Factor -4*f**2 - 28*f - 48.
-4*(f + 3)*(f + 4)
Solve -5*t**4/3 + 10*t**3/3 + 20*t**2/3 - 40*t/3 = 0.
-2, 0, 2
Solve -l**2/3 + 19*l + 58/3 = 0 for l.
-1, 58
Let 25*v**5/2 + 45*v**4/2 - 63*v**3 - 58*v**2 - 12*v = 0. What is v?
-3, -2/5, 0, 2
Factor -k**3 + 9*k**2 - 15*k - 25.
-(k - 5)**2*(k + 1)
Factor u**2 - 137*u + 136.
(u - 136)*(u - 1)
Find j such that 4*j**4 + 80*j**3 - 268*j**2 + 184*j = 0.
-23, 0, 1, 2
Find u, given that -4*u**2 - 84*u - 152 = 0.
-19, -2
Factor d**3/3 - 4*d**2/3 - 28*d/3 - 32/3.
(d - 8)*(d + 2)**2/3
Factor 3*p**2 + 276*p + 6348.
3*(p + 46)**2
Find x such that 4*x**3/3 - 184*x**2/3 + 2660*x/3 - 11552/3 = 0.
8, 19
Factor -o**2/7 + 1018*o/7 + 1019/7.
-(o - 1019)*(o + 1)/7
Factor a**4 - a**3 - a**2 + a.
a*(a - 1)**2*(a + 1)
Solve -2*x**5/7 - 94*x**4/7 - 178*x**3/7 + 94*x**2/7 + 180*x/7 = 0.
-45, -2, -1, 0, 1
Solve -2*z**3 - 21*z**2 - 42*z - 16 = 0 for z.
-8, -2, -1/2
Let 5*y**5 - 205*y**4 = 0. Calculate y.
0, 41
Factor y**2/4 - 441/4.
(y - 21)*(y + 21)/4
Solve r**2/4 + 997*r/4 + 249 = 0 for r.
-996, -1
Factor 5*n**3 - 125*n**2 + 715*n + 845.
5*(n - 13)**2*(n + 1)
Factor l**4/5 + 4*l**3.
l**3*(l + 20)/5
Factor -5*q**2 + 200*q + 3445.
-5*(q - 53)*(q + 13)
Factor -2*d**3/11 - 10702*d**2/11 - 14311248*d/11 + 14321952/11.
-2*(d - 1)*(d + 2676)**2/11
Let -7*t**3 + 705*t**2 + 916*t + 204 = 0. Calculate t.
-1, -2/7, 102
Let 2*t**3/9 + 2*t**2/9 - 20*t/9 + 16/9 = 0. Calculate t.
-4, 1, 2
Factor -i**5/4 - 47*i**4/4 - 114*i**3 - 315*i**2.
-i**2*(i + 6)**2*(i + 35)/4
Factor 5*z**2 - 30*z + 45.
5*(z - 3)**2
Factor -9*p**5/2 - 40*p**4 + 9*p**3/2.
-p**3*(p + 9)*(9*p - 1)/2
Factor -i**2/4 - 18*i - 299.
-(i + 26)*(i + 46)/4
Factor -96*n**3/5 + 496*n**2/5 - 774*n/5 + 324/5.
-2*(3*n - 2)*(4*n - 9)**2/5
Let -14*o**3 - 1808*o**2/3 + 584*o - 352/3 = 0. Calculate o.
-44, 2/7, 2/3
Let -2*s**5 - 10*s**4 - 4*s**3 + 16*s**2 = 0. What is s?
-4, -2, 0, 1
Determine i so that i**5/2 + 93*i**4/2 + 179*i**3/2 - 277*i**2/2 - 180*i + 182 = 0.
-91, -2, 1
Solve d**3/7 + 5*d**2/7 + d + 3/7 = 0 for d.
-3, -1
Factor 10*v**3/3 + 46*v**2/3 + 64*v/3 + 8.
2*(v + 2)**2*(5*v + 3)/3
Determine h, given that -h**5/7 + 6*h**4/7 - 8*h**3/7 - 6*h**2/7 + 9*h/7 = 0.
-1, 0, 1, 3
Let -g**4/4 + g**3/2 + g**2 - g/2 - 3/4 = 0. Calculate g.
-1, 1, 3
Factor s**3/4 + 473*s**2/4 - 119*s - 237.
(s - 2)*(s + 1)*(s + 474)/4
Find o, given that o**5/4 + 3*o**4/4 - 7*o**3 + 4*o**2 + 24*o - 28 = 0.
-7, -2, 2
Determine q so that -q**5/3 - 214*q**4/3 - 5112*q**3 - 373034*q**2/3 - 357911*q/3 = 0.
-71, -1, 0
Factor 4*t**2 - 160*t + 156.
4*(t - 39)*(t - 1)
Factor -s**3 - 52*s**2 - 196*s - 192.
-(s + 2)**2*(s + 48)
Factor -6*w**4 - 22*w**3 - 2*w**2 + 30*w.
-2*w*(w - 1)*(w + 3)*(3*w + 5)
Let o**3 + 754*o**2 + 1505*o + 752 = 0. What is o?
-752, -1
Factor -4*n**5 - 44*n**4 - 172*n**3 - 292*n**2 - 224*n - 64.
-4*(n + 1)**3*(n + 4)**2
Factor a**5/6 + a**4/3 - 13*a**3/6 + 5*a**2/3.
a**2*(a - 2)*(a - 1)*(a + 5)/6
Determine l so that 20*l**4/7 - 464*l**3/7 - 932*l**2/7 + 752*l/7 + 1200/7 = 0.
-2, -1, 6/5, 25
Find a such that 7*a**4/3 + 68*a**3/3 - 9*a**2 - 68*a/3 + 20/3 = 0.
-10, -1, 2/7, 1
Suppose 2*o**5 - 30*o**4 - 74*o**3 + 102*o**2 = 0. Calculate o.
-3, 0, 1, 17
Determine c, given that c**2/5 - 49*c/5 + 72 = 0.
9, 40
Let 3*a**2 - 165*a - 708 = 0. What is a?
-4, 59
Determine k so that 5*k**3 - 10*k**2 - 55*k + 60 = 0.
-3, 1, 4
Factor 5*a**4 + 70*a**3 + 65*a**2 - 1260*a + 1620.
5*(a - 2)**2*(a + 9)**2
Determine f, given that -2*f**4 - 50*f**3 - 282*f**2 - 558*f - 324 = 0.
-18, -3, -1
Factor -4*v**4 - 32*v**3 - 28*v**2.
-4*v**2*(v + 1)*(v + 7)
Factor -c**3/2 - 57*c**2/2 - 28*c.
-c*(c + 1)*(c + 56)/2
Factor 2*k**3/7 - 272*k**2/7 + 290*k + 2304/7.
2*(k - 128)*(k - 9)*(k + 1)/7
What is a in 5*a**5 + 5*a**4 - 40*a**3 - 60*a**2 = 0?
-2, 0, 3
Find r such that 3*r**5 - 18*r**4 - 21*r**3 = 0.
-1, 0, 7
Let -3*x**4 - 12*x**3 + 132*x**2 + 288*x - 1728 = 0. Calculate x.
-6, 4
Determine x, given that -8*x**4 - 70*x**3 + 1986*x**2 - 7532*x + 1760 = 0.
-22, 1/4, 5, 8
Find p, given that 2*p**2/7 + 208*p/7 + 4958/7 = 0.
-67, -37
What is p in -p**2 + 73*p + 74 = 0?
-1, 74
Factor m**3/4 + m**2/2 - m/4 - 1/2.
(m - 1)*(m + 1)*(m + 2)/4
What is d in -72*d**5/7 - 444*d**4/7 + 1096*d**3/7 + 292*d**2/7 - 232*d/7 - 64/7 = 0?
-8, -1/3, 1/2, 2
Factor p**3/3 - p**2/3 - p/3 + 1/3.
(p - 1)**2*(p + 1)/3
Factor -977202*p**2/5 - 2796*p/5 - 2/5.
-2*(699*p + 1)**2/5
Determine v so that -10*v**5 - 185*v**4 - 475*v**3 + 3475*v**2 - 4015*v + 1210 = 0.
-11, 1/2, 1, 2
Factor 3*u**4 - 6*u**3 - 15*u**2 + 18*u.
3*u*(u - 3)*(u - 1)*(u + 2)
Determine n, given that 4*n**4 + 24*n**3 + 16*n**2 - 24*n - 20 = 0.
-5, -1, 1
Let 65*t**2 - 10260*t - 1580 = 0. What is t?
-2/13, 158
Determine k, given that -5*k**3 - 355*k**2/3 + 130*k/3 + 80 = 0.
-24, -2/3, 1
Factor -24*m**2 - 2859*m - 357.
-3*(m + 119)*(8*m + 1)
Solve r**3/2 + 18*r**2 + 162*r = 0 for r.
-18, 0
Solve h**2/3 - 49*h + 290/3 = 0.
2, 145
Suppose -2*t**3/7 + 160*t**2/7 + 326*t/7 + 164/7 = 0. Calculate t.
-1, 82
Factor 5*g**3 - 85*g**2 - 310*g + 2280.
5*(g - 19)*(g - 4)*(g + 6)
Factor 13*p**2/9 - 7*p - 10/9.
(p - 5)*(13*p + 2)/9
Let -15*a**4 + 55*a**3 - 30*a**2 = 0. Calculate a.
0, 2/3, 3
What is u in -2*u**2/11 + 6516*u/11 - 6514/11 = 0?
1, 3257
Find s, given that -6*s**5 + 110*s**4 + 78*s**3 - 38*s**2 = 0.
-1, 0, 1/3, 19
What is v in v**2 + 10*v - 24 = 0?
-12, 2
Factor -3*x**3 + 54*x**2 - 216*x.
-3*x*(x - 12)*(x - 6)
Factor 2*g**3/7 - 26*g**2 + 1160*g/7 + 192.
2*(g - 84)*(g - 8)*(g + 1)/7
Let -o**3/5 - 33*o**2/5 + 34*o/5 = 0. What is o?
-34, 0, 1
Factor 21*t**2/5 - 216*t/5 + 12.
3*(t - 10)*(7*t - 2)/5
Factor 3*m**4 + 9*m**3.
3*m**3*(m + 3)
Factor 6*l**2 - 69*l + 33.
3*(l - 11)*(2*l - 1)
Factor j**3/4 - 59*j**2/2 + 224*j - 440.
(j - 110)*(j - 4)**2/4
Suppose -a**2/2 - 11*a/2 - 9 = 0. Calculate a.
-9, -2
Factor 3*n**3/5 + 21*n**2 + 969*n/5 + 867/5.
3*(n + 1)*(n + 17)**2/5
Let -5*z**3 - 20*z**2 + 35*z + 50 = 0. Calculate z.
-5, -1, 2
Determine g, given that -3*g**5 + 105*g**4 - 1161*g**3 + 3147*g**2 + 12804*g - 30492 = 0.
-3, 2, 11, 14
Solve 2*s**4/7 - 6*s**3/7 - 18*s**2/7 - 10*s/7 = 0 for s.
-1, 0, 5
Suppose -5*u**5 + 60*u**4 - 130*u**3 - 420*u**2 + 1575*u - 1080 = 0. Calculate u.
-3, 1, 3, 8
Factor 11*q**2/6 + 49*q/6 - 5.
(q + 5)*(11*q - 6)/6
Factor 2*t**4/9 - 14*t**3/9 + 28*t**2/9 - 16*t/9.
2*t*(t - 4)*(t - 2)*(t - 1)/9
Let 5*v**5 - 19*v**4 - 88*v**3 + 336*v**2 = 0. What is v?
-21/5, 0, 4
Find n such that 5*n**2 - 20*n - 25 = 0.
-1, 5
What is p in 3*p**3 - 144*p**2 + 2304*p - 12288 = 0?
16
Factor 4*w**3 + 104*w**2 + 560*w - 1568.
4*(w - 2)*(w + 14)**2
Factor -m**2 - 96*m - 279.
-(m + 3)*(m + 93)
Determine i so that -2*i**4/17 + 12*i**3/17 + 16*i**2/17 - 12*i/17 - 14/17 = 0.
-1, 1, 7
Let 4*y**5 + 112*y**4 + 484*y**3 + 536*y**2 - 400*y - 736 = 0. Calculate y.
-23, -2, 1
Find u such that -5*u**4 + 145*u**3 - 765*u**2 - 145*u + 770 = 0.
-1, 1, 7, 22
Factor 52*w**2/9 + 1240*w/9 - 64/3.
4*(w + 24)*(13*w - 2)/9
Factor h**5/2 + h**4/2 - 7*h**3 + 13*h**2 - 19*h/2 + 5/2.
(h - 1)**4*(h + 5)/2
Suppose 2*m**2/3 - 32*m + 94/3 = 0. What is m?
1, 47
Let 5*u**5 + 1335*u**4 - 5390*u**3 + 8110*u**2 - 5415*u + 1355 = 0. What is u?
-271, 1
Factor -468512*v**4/5 - 4514752*v**3/5 - 16314672*v**2/5 - 26202352*v/5 - 15780962/5.
-2*(22*v + 53)**4/5
Find g such that g**3 + 14*g**2 - 111*g + 180 = 0.
-20, 3
Find j such that -3*j**3 + 126*j**2 - 513*j - 1554 = 0.
-2, 7, 37
Factor -16*a**3 + 54*a**2 - 50*a + 12.
-2*(a - 2)*(a - 1)*(8*a - 3)
Find r, given that 108*r**2 - 19*r - 2 = 0