4, 1, 8
Factor l**4/2 - 7*l**3/2 + 5*l**2.
l**2*(l - 5)*(l - 2)/2
Find z, given that 3*z**5/2 + 9*z**4/2 + 3*z**3/2 - 9*z**2/2 - 3*z = 0.
-2, -1, 0, 1
Find h such that -h**4 + 8406*h**3 - 23553612*h**2 + 21999073608*h = 0.
0, 2802
Determine o so that 3*o**3 + 600*o**2 - 3681*o + 5562 = 0.
-206, 3
Factor -3*t**2/7 + 771*t/7 + 2340/7.
-3*(t - 260)*(t + 3)/7
Suppose 2*r**2/3 - 2*r - 20/3 = 0. Calculate r.
-2, 5
Factor -27*r**4/7 - 558*r**3/7 - 3063*r**2/7 - 1860*r/7 - 300/7.
-3*(r + 10)**2*(3*r + 1)**2/7
Factor l**5/4 + l**4 - 3*l**3/4 - 9*l**2/2.
l**2*(l - 2)*(l + 3)**2/4
Determine t, given that -2*t**2/5 - 466*t/5 - 720 = 0.
-225, -8
What is q in 30*q**3/13 + 128*q**2/13 - 66*q/13 - 92/13 = 0?
-23/5, -2/3, 1
Determine t so that -t**3/4 - 35*t**2/4 + 38*t - 39 = 0.
-39, 2
Let -242*t**3 - 11462*t**2 - 141270*t - 130050 = 0. What is t?
-255/11, -1
Factor u**3 - 1290*u**2 - 5172*u - 5176.
(u - 1294)*(u + 2)**2
Suppose 38*y**2/5 + 234*y/5 + 36/5 = 0. Calculate y.
-6, -3/19
Let -5*x**2 - 90*x + 720 = 0. Calculate x.
-24, 6
Factor -4*i**3 - 820*i**2 + 4*i + 820.
-4*(i - 1)*(i + 1)*(i + 205)
Determine u so that 2*u**5 - 4*u**4 - 38*u**3 + 64*u**2 + 168*u - 288 = 0.
-3, 2, 4
Determine o so that 6*o**2/5 - 1383*o/5 + 138 = 0.
1/2, 230
Factor -6*o**2 + 716*o/5 + 96/5.
-2*(o - 24)*(15*o + 2)/5
Factor -2*p**5 - 396*p**4 - 25312*p**3 - 465664*p**2 + 3551232*p - 5030912.
-2*(p - 4)*(p - 2)*(p + 68)**3
Factor x**5 - 6*x**4 + 8*x**3 + 16*x**2 - 48*x + 32.
(x - 2)**4*(x + 2)
Solve 5*t**3 - 160*t**2 + 1105*t + 2890 = 0.
-2, 17
Determine w, given that -2*w**4/3 - 8*w**3/3 + 20*w**2 + 136*w/3 + 70/3 = 0.
-7, -1, 5
Let 11*b**3/10 + 2*b**2 - 2*b/5 = 0. Calculate b.
-2, 0, 2/11
Factor -2*v**2 + 20*v - 50.
-2*(v - 5)**2
Determine k, given that -2*k**2 - 112*k - 1568 = 0.
-28
Suppose -2*m**3 + 10*m**2 + 2444*m + 2432 = 0. Calculate m.
-32, -1, 38
Determine c, given that -2*c**2/9 + 1940*c/9 - 470450/9 = 0.
485
Find b, given that b**4/6 + 19*b**3/6 + 3*b**2 = 0.
-18, -1, 0
Factor 3*j**4/7 + 48*j**3/7 + 135*j**2/7 - 486*j/7.
3*j*(j - 2)*(j + 9)**2/7
Determine c, given that 2*c**2/3 + 10*c/3 = 0.
-5, 0
Factor -2*f**3/11 + 824*f**2/11 + 1654*f/11 + 828/11.
-2*(f - 414)*(f + 1)**2/11
Let -4*i**3 - 148*i**2 - 1120*i + 4800 = 0. What is i?
-20, 3
Solve -3*v**4/5 - 72*v**3/5 - 576*v**2/5 - 384*v - 2304/5 = 0 for v.
-12, -4
Solve 2*h**5/5 - 2*h**4 - 24*h**3/5 + 88*h**2/5 + 32*h = 0.
-2, 0, 4, 5
Factor 5*k**5 - 20*k**4 + 10*k**3 + 20*k**2 - 15*k.
5*k*(k - 3)*(k - 1)**2*(k + 1)
Solve -2*l**5/7 + 26*l**4/7 + 96*l**3/7 + 8*l**2/7 - 128*l/7 = 0.
-2, 0, 1, 16
Let -3*n**2/7 + 3*n/7 + 18/7 = 0. Calculate n.
-2, 3
Factor 2*w**3/7 + 16*w**2/7 - 18*w/7.
2*w*(w - 1)*(w + 9)/7
What is j in 2*j**4 + 58*j**3 - 140*j**2 - 496*j = 0?
-31, -2, 0, 4
Let -2*b**5 + 66*b**4 - 628*b**3 + 144*b**2 + 19008*b - 34560 = 0. What is b?
-5, 2, 12
Find n, given that -n**3/3 - 5*n**2/3 + n/3 + 5/3 = 0.
-5, -1, 1
Suppose -2*d**3/11 - 780*d**2/11 - 76050*d/11 = 0. What is d?
-195, 0
Factor 2*n**2 - 286*n - 288.
2*(n - 144)*(n + 1)
Factor 2*m**4/9 + 4*m**3 + 22*m**2/3 + 32*m/9.
2*m*(m + 1)**2*(m + 16)/9
Find d such that 3267*d**2 + 51876*d + 205932 = 0.
-262/33
Factor s**3/3 - 121*s**2/3 - 122*s/3.
s*(s - 122)*(s + 1)/3
Factor -l**4 - 127*l**3 + 390*l**2 - 4*l - 520.
-(l - 2)**2*(l + 1)*(l + 130)
Factor 2*l**3/5 + 42*l**2/5.
2*l**2*(l + 21)/5
Suppose 3*h**3 - 3*h**2 = 0. Calculate h.
0, 1
Solve -6*v**4 - 56*v**3 - 416*v**2/3 - 352*v/3 - 32 = 0.
-6, -2, -2/3
Factor -3*n**3 + 84*n**2 + 87*n.
-3*n*(n - 29)*(n + 1)
Factor -4*i**2 - 100*i - 184.
-4*(i + 2)*(i + 23)
Factor -2*n**4 + 6*n**2 - 4*n.
-2*n*(n - 1)**2*(n + 2)
Find m such that -4*m**2 + 152*m - 868 = 0.
7, 31
Factor 4*s**2 - 788*s + 784.
4*(s - 196)*(s - 1)
Find f such that 5*f**2 + 70*f + 200 = 0.
-10, -4
Factor -5*g**2 + 37710*g - 71102205.
-5*(g - 3771)**2
Suppose 3*h**4 + 7*h**3 + 2*h**2 = 0. Calculate h.
-2, -1/3, 0
Factor -x**4/3 + 4*x**3/3 + 5*x**2/3.
-x**2*(x - 5)*(x + 1)/3
Suppose -16*t**5/5 + 10*t**4 - 54*t**3/5 + 22*t**2/5 - 2*t/5 = 0. Calculate t.
0, 1/8, 1
Suppose 1373125*q**3 - 63375*q**2 + 975*q - 5 = 0. What is q?
1/65
Determine g so that 2*g**3/21 + 160*g**2/21 + 3200*g/21 = 0.
-40, 0
Find o, given that -64*o**4/5 + 12*o**2/5 - 2*o/5 = 0.
-1/2, 0, 1/4
Factor -z**5 + 7*z**4 + 10*z**3 - 16*z**2.
-z**2*(z - 8)*(z - 1)*(z + 2)
Find g, given that -2*g**2/3 + 124*g - 5766 = 0.
93
Suppose 2*j**5/7 + 50*j**4/21 + 30*j**3/7 + 10*j**2/7 - 40*j/21 - 8/7 = 0. What is j?
-6, -1, 2/3
Factor -2*n**2/5 - 66*n/5 + 68/5.
-2*(n - 1)*(n + 34)/5
Determine u so that -16*u**2 + 1524*u - 380 = 0.
1/4, 95
Factor -4*n**2/7 - 296*n/7 - 292/7.
-4*(n + 1)*(n + 73)/7
Factor -10*r**4 + 16*r**3 + 14*r**2 - 12*r.
-2*r*(r - 2)*(r + 1)*(5*r - 3)
Let -2*m**2/3 - 34*m/3 - 32/3 = 0. Calculate m.
-16, -1
Factor -3*v**4 - 24*v**3 + 27*v**2.
-3*v**2*(v - 1)*(v + 9)
Factor 38*n**2/9 + 4*n - 80/9.
2*(n + 2)*(19*n - 20)/9
Factor 3*x**4 - 15*x**3 - 306*x**2 - 960*x - 672.
3*(x - 14)*(x + 1)*(x + 4)**2
Factor -2*s**4 + 142*s**3 + 900*s**2 + 1832*s + 1232.
-2*(s - 77)*(s + 2)**3
Let -21*y**5 - 342*y**4 - 1440*y**3 - 384*y**2 = 0. What is y?
-8, -2/7, 0
Suppose -4*f**3 - 12945*f**2 - 10474932*f - 2617924 = 0. Calculate f.
-1618, -1/4
Solve -3*b**3/5 - 78*b**2/5 - 573*b/5 - 858/5 = 0.
-13, -11, -2
Factor v**3/4 + 132*v**2 + 23232*v + 1362944.
(v + 176)**3/4
Suppose 20*i**4 + 504*i**3 + 1040*i**2 + 648*i + 92 = 0. What is i?
-23, -1, -1/5
Solve -15*t**3 + 51*t**2 - 24*t - 36 = 0 for t.
-3/5, 2
Let 2*v**4 - 4*v**3 - 26*v**2 + 28*v + 48 = 0. What is v?
-3, -1, 2, 4
Factor 98*a**4 + 434*a**3 - 1644*a**2 + 824*a - 112.
2*(a - 2)*(a + 7)*(7*a - 2)**2
Factor -2*y**3 + 168*y**2 + 696*y + 704.
-2*(y - 88)*(y + 2)**2
Suppose 245*s**5 - 1365*s**4 + 720*s**3 - 100*s**2 = 0. Calculate s.
0, 2/7, 5
Factor -4*i**3/5 + 16*i**2 + 368*i/5 + 384/5.
-4*(i - 24)*(i + 2)**2/5
Factor -l**4 + 19*l**3 + 4*l**2 - 76*l.
-l*(l - 19)*(l - 2)*(l + 2)
Factor 2*v**2/11 + 84*v - 926/11.
2*(v - 1)*(v + 463)/11
Let -f**4 + 179*f**3 + 731*f**2 + 189*f - 1098 = 0. Calculate f.
-3, -2, 1, 183
Suppose 6*w**5/7 - 24*w**4/7 - 18*w**3/7 + 60*w**2/7 + 48*w/7 = 0. What is w?
-1, 0, 2, 4
Factor -r**2 + 24*r - 23.
-(r - 23)*(r - 1)
Let -5*h**3 + 200*h**2 + 635*h + 430 = 0. Calculate h.
-2, -1, 43
Suppose k**5 + 4*k**4 - 14*k**3 - 56*k**2 - 59*k - 20 = 0. What is k?
-5, -1, 4
Solve -2*i**2/7 - 18*i/7 - 16/7 = 0 for i.
-8, -1
Factor l**5 + 13*l**4 + 46*l**3 + 12*l**2 - 72*l.
l*(l - 1)*(l + 2)*(l + 6)**2
Solve -3*l**2 + 195*l - 192 = 0 for l.
1, 64
Determine o so that 2*o**5/7 + 4*o**4/7 - 10*o**3/7 - 12*o**2/7 = 0.
-3, -1, 0, 2
Find z, given that 4*z**5 + 24*z**4 + 8*z**3 - 192*z**2 - 396*z - 216 = 0.
-3, -2, -1, 3
Factor -2*r**2/5 - 20*r + 1062/5.
-2*(r - 9)*(r + 59)/5
Find a, given that -5*a**3 - 225*a**2 - 1660*a - 1440 = 0.
-36, -8, -1
Determine i so that 55*i**4 - 7475*i**3 - 7530*i**2 = 0.
-1, 0, 1506/11
Factor 4*n**2 + 236*n + 232.
4*(n + 1)*(n + 58)
Factor 16*j**3 + 1436*j**2 + 32040*j - 8100.
4*(j + 45)**2*(4*j - 1)
Solve -2*h**2/11 - 2632*h/11 + 2634/11 = 0.
-1317, 1
Let 3*s**3/5 - 219*s**2/5 = 0. What is s?
0, 73
Factor -d**5/8 - 4*d**4 + 67*d**3/8 - 17*d**2/4.
-d**2*(d - 1)**2*(d + 34)/8
Solve -k**2/4 - 11*k/4 + 3 = 0.
-12, 1
Factor -2*n**2 + 1088*n - 147968.
-2*(n - 272)**2
Factor 4*m**3 + 468*m**2 + 18252*m + 237276.
4*(m + 39)**3
Factor 5*m**2 + 705*m - 1430.
5*(m - 2)*(m + 143)
Factor p**3 - 23*p**2 - 44*p + 480.
(p - 24)*(p - 4)*(p + 5)
Find m, given that m**3/4 - 23*m**2 + 355*m/4 - 66 = 0.
1, 3, 88
Solve -2*i**5/7 + 2*i**4/7 + 6*i**3/7 - 10*i**2/7 + 4*i/7 = 0 for i.
-2, 0, 1
Factor -3*f**3 - 492*f**2 - 20172*f.
-3*f*(f + 82)**2
Factor -3*x**2 + 2739*x - 2736.
-3*(x - 912)*(x - 1)
Determine q, given that 4*q**2/9 + 32*q/3 - 100/9 = 0.
-25, 1
Let -t**5/11 - 3*t**4/11 + t**3/11 + 3*t**2/11 = 0. Calculate t.
-3, -1, 0, 1
Let g**5/3 - 23*g**4/3 + 130*g**3/3 - 308*g**2/3 + 328*g/3 - 128/3 = 0. What is g?
1, 2, 16
Suppose 3*c**3 + 384*c**2 + 756*c = 0. Calculate c.
-126, -2, 0
Suppose -2883*z**4 + 17112*z**3 + 1113*z**2 + 18*z = 0. What is z?
-1/31, 0, 6
Factor u**3 - 53*u**2 + 675*u + 729.
(u - 27)**2*(u + 1)
Solve 5*o**2/2 - 80*o - 170 = 0 for o.
-2, 34
Let 4*y**3 - 8*y**2 - 4*y + 8 = 0. What is y?
-1, 1, 2
Suppose -l*