ctor l**3/7 + 4*l**2/7 + 3*l/7.
l*(l + 1)*(l + 3)/7
What is i in -4*i**3/7 + 4*i**2 - 40*i/7 = 0?
0, 2, 5
Solve 2*y**2 + 352*y + 15488 = 0.
-88
Let -b**4 - 192*b**3 - 9022*b**2 + 18624*b - 9409 = 0. What is b?
-97, 1
What is l in 5*l**4 + 2830*l**3 + 397605*l**2 - 803720*l + 403280 = 0?
-284, 1
Suppose 2*v**2/7 + 16*v/7 + 2 = 0. What is v?
-7, -1
Determine x so that -3*x**5 - 30*x**4 - 72*x**3 + 30*x**2 + 75*x = 0.
-5, -1, 0, 1
Solve 14*c**2/9 - 22*c/9 = 0.
0, 11/7
Determine q, given that -2*q**4/15 + 52*q**3/15 - 168*q**2/5 + 2156*q/15 - 686/3 = 0.
5, 7
What is t in -2*t**3/9 + 92*t**2/3 - 1190*t/3 + 12152/9 = 0?
7, 124
Solve -4*y**3 + 708*y**2 - 41772*y + 821516 = 0.
59
Find w, given that -w**3/6 + w**2/3 - w/6 = 0.
0, 1
Suppose 176*a**5 + 188*a**4 - 172*a**3 - 196*a**2 - 4*a + 8 = 0. Calculate a.
-1, -1/4, 2/11, 1
Factor -3*a**3/5 - 42*a**2/5 - 168*a/5 - 192/5.
-3*(a + 2)*(a + 4)*(a + 8)/5
Solve 9*w**5/5 - 56*w**4/5 + 24*w**3 - 96*w**2/5 + 16*w/5 = 0 for w.
0, 2/9, 2
Find w, given that -5*w**4/4 + 305*w**3/4 - 5085*w**2/4 + 13195*w/4 - 4205/2 = 0.
1, 2, 29
Factor v**2 + 71*v.
v*(v + 71)
Factor j**3/6 + 7*j**2 + 245*j/6.
j*(j + 7)*(j + 35)/6
Factor -55*m**2/3 + 2770*m - 755/3.
-5*(m - 151)*(11*m - 1)/3
Solve 5*f**4 + 275*f**3 - 2805*f**2 - 238415*f - 235340 = 0 for f.
-41, -1, 28
Solve -3*n**4 - 392*n**3 - 257*n**2 + 392*n + 260 = 0.
-130, -1, -2/3, 1
Factor -2*h**4 - 16*h**3 + 28*h**2 + 96*h + 54.
-2*(h - 3)*(h + 1)**2*(h + 9)
Factor -2*t**3 + 366*t**2 - 21462*t + 394346.
-2*(t - 73)**2*(t - 37)
Suppose -15*t**3/2 + 729*t**2/8 - 51*t/4 - 9 = 0. What is t?
-1/4, 2/5, 12
Factor u**4/6 - 11*u**3/6 + 3*u**2.
u**2*(u - 9)*(u - 2)/6
Suppose -39*x**4 - 96*x**3 - 75*x**2 - 18*x = 0. Calculate x.
-1, -6/13, 0
Factor -d**3/2 + 3*d**2.
-d**2*(d - 6)/2
Solve 3*g**3/2 - 125*g**2/2 - 747*g/2 - 235/2 = 0.
-5, -1/3, 47
Solve 3*q**2 + 33*q - 78 = 0.
-13, 2
Find v, given that -9*v**2/5 - 1644*v/5 - 1092/5 = 0.
-182, -2/3
Solve 2*y**5/13 - 42*y**4/13 + 238*y**3/13 - 198*y**2/13 = 0 for y.
0, 1, 9, 11
Factor -3*f**3 - 111*f**2 + 354*f - 240.
-3*(f - 2)*(f - 1)*(f + 40)
Factor 4*q**4 + 312*q**3.
4*q**3*(q + 78)
Suppose -5*f**4 + 120*f**3 - 75*f**2 - 980*f + 1380 = 0. What is f?
-3, 2, 23
Factor 3*i**4/2 + 21*i**3 + 102*i**2 + 195*i + 225/2.
3*(i + 1)*(i + 3)*(i + 5)**2/2
Find h, given that -394*h**2/9 - 134*h/3 - 8/9 = 0.
-1, -4/197
Factor f**5 + 23*f**4 + 42*f**3 - 2*f**2 - 43*f - 21.
(f - 1)*(f + 1)**3*(f + 21)
Find o such that 2*o**2/3 - 42*o = 0.
0, 63
Factor -t**3/6 - 29*t**2/3 - 55*t/6 + 19.
-(t - 1)*(t + 2)*(t + 57)/6
Factor 5*c**4 + 320*c**3 + 6690*c**2 + 48280*c + 41905.
5*(c + 1)*(c + 17)**2*(c + 29)
Determine u, given that 5*u**3 - 25*u**2 + 20*u = 0.
0, 1, 4
Let 4*u**5 - 198*u**4/5 + 32*u**3 + 18*u**2/5 = 0. Calculate u.
-1/10, 0, 1, 9
Solve -g**5/2 + 209*g**4/4 - 151*g**3/2 - 181*g**2 + 76*g + 515/4 = 0 for g.
-1, 1, 5/2, 103
Determine d, given that d**4/3 + 22*d**3 + 1153*d**2/3 + 704*d + 1024/3 = 0.
-32, -1
Suppose t**3 - 191*t**2 - 389*t + 579 = 0. Calculate t.
-3, 1, 193
Let 2*n**4 - 8*n**3 + 6*n**2 = 0. What is n?
0, 1, 3
Factor -20*s**4/9 + 22*s**3/9.
-2*s**3*(10*s - 11)/9
Solve -2*q**2/7 + 106*q/7 + 108/7 = 0 for q.
-1, 54
Factor l**2/9 - 640*l/9 + 102400/9.
(l - 320)**2/9
Factor 4*o**3 + 424*o**2 + 12740*o + 76832.
4*(o + 8)*(o + 49)**2
Determine o so that 5*o**2/3 + 715*o/3 - 240 = 0.
-144, 1
Determine a, given that -2*a**5/7 + 6*a**4/7 - 2*a**3/7 - 6*a**2/7 + 4*a/7 = 0.
-1, 0, 1, 2
Determine d so that -d**5/2 + 7*d**4/2 + 43*d**3/2 + 17*d**2/2 - 33*d = 0.
-3, -2, 0, 1, 11
Solve l**4 + 357*l**3 + 30955*l**2 - 162357*l + 131044 = 0.
-181, 1, 4
Let 2*q**2/7 - 916*q/7 + 104882/7 = 0. What is q?
229
Suppose -3*m**5/4 + 15*m**4/4 + 21*m**3/4 - 15*m**2/4 - 9*m/2 = 0. What is m?
-1, 0, 1, 6
Factor 2*u**4/9 - 4*u**3/3 - 16*u**2/9 + 4*u/3 + 14/9.
2*(u - 7)*(u - 1)*(u + 1)**2/9
Factor 2*g**5/15 - 14*g**4/15 + 2*g**3 - 26*g**2/15 + 8*g/15.
2*g*(g - 4)*(g - 1)**3/15
Find a such that -3*a**3 - 3*a**2 + 3*a + 3 = 0.
-1, 1
Factor 679*w**4 - 3397*w**3/5 + 2*w**2/5.
w**2*(w - 1)*(3395*w - 2)/5
Factor r**3 - 6*r**2 - 40*r.
r*(r - 10)*(r + 4)
What is w in -8*w**2 - 14*w = 0?
-7/4, 0
Factor -6*t**2/7 + 4*t/7 + 32/7.
-2*(t + 2)*(3*t - 8)/7
Factor 11*h**2 + 189*h + 34.
(h + 17)*(11*h + 2)
Let -y**3/2 + 5*y**2 + 75*y/2 = 0. Calculate y.
-5, 0, 15
Let -2*d**2 + 741*d - 370 = 0. What is d?
1/2, 370
Factor b**2 - 2*b - 8.
(b - 4)*(b + 2)
Factor -2*n**3/9 - 18*n**2 + 590*n/3 - 4550/9.
-2*(n - 5)**2*(n + 91)/9
Solve 5*u**2 - 160*u = 0 for u.
0, 32
Solve -9*g**3 - 114*g**2 + 45*g + 78 = 0 for g.
-13, -2/3, 1
Factor -g**2/5 + 2*g/5 + 3/5.
-(g - 3)*(g + 1)/5
Factor -2*w**3 + 88*w**2 - 518*w.
-2*w*(w - 37)*(w - 7)
Solve -u**3/2 - 9*u**2/2 - 4*u = 0 for u.
-8, -1, 0
Suppose 4*t**2/3 - 358*t/3 + 176 = 0. Calculate t.
3/2, 88
Suppose 48*r**5 - 24*r**4 - 141*r**3 - 24*r**2 + 39*r - 6 = 0. Calculate r.
-1, 1/4, 2
Solve j**5/6 - j**4/3 - 11*j**3/6 + 2*j**2/3 + 14*j/3 + 8/3 = 0 for j.
-2, -1, 2, 4
Factor -5*n**2 - 55*n + 60.
-5*(n - 1)*(n + 12)
Determine k, given that -350*k**5 + 4755*k**4 - 6930*k**3 + 3280*k**2 - 480*k = 0.
0, 2/7, 1/2, 4/5, 12
Solve 8*c**2 - 76*c + 96 = 0.
3/2, 8
Find z such that -6*z**5 + 10970*z**4 - 5026988*z**3 + 11688228*z**2 - 8339342*z + 1667138 = 0.
1/3, 1, 913
Factor i**3/7 - 8*i**2 + 725*i/7 + 1682/7.
(i - 29)**2*(i + 2)/7
Solve -5*a**4 - 10*a**3 + 40*a**2 + 90*a + 45 = 0 for a.
-3, -1, 3
What is t in -t**2 - 4*t + 21 = 0?
-7, 3
Factor -a**2/5 - 22*a/5 - 121/5.
-(a + 11)**2/5
Find l, given that 3*l**3/2 - 1686*l**2 + 6735*l/2 - 1683 = 0.
1, 1122
Factor 5*l**3 - 30*l**2 - 45*l + 70.
5*(l - 7)*(l - 1)*(l + 2)
Factor -3*i**2 + 168*i - 2352.
-3*(i - 28)**2
Suppose 4*g**4 - 672*g**3 + 29532*g**2 - 109552*g + 80688 = 0. Calculate g.
1, 3, 82
Determine h so that -5*h**3 - 390*h**2 - 760*h = 0.
-76, -2, 0
Factor -c**3 - 6*c**2 + c + 30.
-(c - 2)*(c + 3)*(c + 5)
Factor -2*w**2/11 - 3452*w/11 - 1489538/11.
-2*(w + 863)**2/11
Factor i**5 - 26*i**4 + 72*i**3 - 70*i**2 + 23*i.
i*(i - 23)*(i - 1)**3
Suppose 4*n**5 + 48*n**4 + 20*n**3 - 600*n**2 = 0. Calculate n.
-10, -5, 0, 3
Suppose -5*p**2/6 - 335*p/6 = 0. Calculate p.
-67, 0
Find k such that -2*k**4 - 20*k**3 - 66*k**2 - 72*k = 0.
-4, -3, 0
Factor -2*s**2 - 112*s.
-2*s*(s + 56)
Factor -5*n**2 + 1450*n + 7375.
-5*(n - 295)*(n + 5)
Find b such that 3*b**2/5 + 474*b/5 + 18723/5 = 0.
-79
Solve q**3/5 + 4*q**2/5 + 3*q/5 = 0 for q.
-3, -1, 0
Solve 2*w**3/19 + 30*w**2/19 - 66*w/19 + 34/19 = 0 for w.
-17, 1
Find t such that -2*t**2/3 + 68*t/3 - 578/3 = 0.
17
What is d in d**5 - 17*d**4 - 84*d**3 = 0?
-4, 0, 21
Factor 5*v**3 - 335*v**2 + 635*v + 975.
5*(v - 65)*(v - 3)*(v + 1)
Determine h so that -729*h**3 - 26352*h**2 - 3892*h - 144 = 0.
-36, -2/27
Find i such that -i**5/2 - 907*i**4/3 - 1207*i**3/6 + 302*i**2/3 = 0.
-604, -1, 0, 1/3
Factor -m**5 + 65*m**4 - 1086*m**3 + 896*m**2 + 2048*m.
-m*(m - 32)**2*(m - 2)*(m + 1)
Determine t so that 2*t**3/15 - 194*t**2/15 + 4982*t/15 - 4418/5 = 0.
3, 47
Solve 5*p**2 + 40*p - 6765 = 0.
-41, 33
Solve -b**3 - 1443*b**2 - 694083*b - 111284641 = 0 for b.
-481
Factor 16*d**5/5 + 52*d**4/5 + 12*d**3 + 28*d**2/5 + 4*d/5.
4*d*(d + 1)**3*(4*d + 1)/5
Factor -10*r**3 + 866*r**2 + 1228*r + 352.
-2*(r - 88)*(r + 1)*(5*r + 2)
What is s in -s**4/2 - 9*s**3/2 - 3*s**2 + 8*s = 0?
-8, -2, 0, 1
Factor 3*n**4 + 2232*n**3 + 408402*n**2 - 2511000*n + 3796875.
3*(n - 3)**2*(n + 375)**2
Factor -5*t**3 - 140*t**2 - 235*t + 3500.
-5*(t - 4)*(t + 7)*(t + 25)
Determine a so that a**2/2 - 105*a/4 - 53/4 = 0.
-1/2, 53
Factor 2*o**2/13 - 6*o/13 - 80/13.
2*(o - 8)*(o + 5)/13
Factor 3*r**3 - 1260*r**2 - 3*r + 1260.
3*(r - 420)*(r - 1)*(r + 1)
Factor -5*l**3 - 15*l**2 - 10*l.
-5*l*(l + 1)*(l + 2)
Suppose -g**4 - 10*g**3 - 7*g**2 + 18*g = 0. Calculate g.
-9, -2, 0, 1
Factor -3*i**2/5 + 234*i/5 - 903.
-3*(i - 43)*(i - 35)/5
Let -27*m**2 + 6*m = 0. What is m?
0, 2/9
Factor 2*k**4/3 - 16*k**3/3 + 14*k**2/3.
2*k**2*(k - 7)*(k - 1)/3
Factor 16*u**4 + 180080*u**3 + 506790132*u**2 + 506655080*u + 126652516.
4*(u + 5627)**2*(2*u + 1)**2
Determine c so that -c**3/7 - 4*c**2/7 = 0.
-4, 0
Factor -p**2 + 84*p - 243.
-(p - 81)*(p - 3)
Find d, given that 2*d**4/7 - 6*d**3/7 - 36*d**2/7 - 8*d/7 + 48/7 = 0.
-2, 1, 6
Determ