s + 137)
Factor 2*l**2/3 - 38*l/3 + 40.
2*(l - 15)*(l - 4)/3
Factor 13*o**4 - 1221*o**3 - 2577*o**2 - 1439*o - 96.
(o - 96)*(o + 1)**2*(13*o + 1)
Let 5*y**4 - 90*y**2 + 160*y - 75 = 0. What is y?
-5, 1, 3
Solve -3*s**5 - 24*s**4 + 171*s**3 - 300*s**2 + 156*s = 0 for s.
-13, 0, 1, 2
Factor f**2/3 + 538*f + 217083.
(f + 807)**2/3
Find p such that -8*p**5 + 44*p**4 + 4*p**3 - 116*p**2 - 28*p + 40 = 0.
-1, 1/2, 2, 5
Determine d so that -2*d**3/13 + 54*d/13 - 108/13 = 0.
-6, 3
Determine m so that 2*m**2/11 - 212*m + 61798 = 0.
583
Suppose -5*k**2 + 395*k - 390 = 0. What is k?
1, 78
Let -2*y**4/11 - 20*y**3 - 838*y**2/11 + 1060*y/11 = 0. Calculate y.
-106, -5, 0, 1
Let -2*i**3 - 32*i**2 - 90*i + 324 = 0. What is i?
-9, 2
Find w, given that 48*w**5 + 72*w**4 - 429*w**3 + 198*w**2 - 24*w = 0.
-4, 0, 1/4, 2
Suppose 2*m**2 - 18*m + 36 = 0. What is m?
3, 6
Factor -5*g**3/3 + 1729*g**2/3 - 149299*g/3 - 29929/3.
-(g - 173)**2*(5*g + 1)/3
Factor -14*i**2/3 + 172*i/3 - 16.
-2*(i - 12)*(7*i - 2)/3
Solve -n**4/9 + 20*n**3/9 - 64*n**2/9 = 0 for n.
0, 4, 16
Factor 2*k**4/5 - 6*k**2/5 + 4*k/5.
2*k*(k - 1)**2*(k + 2)/5
Determine i so that -3*i**2/4 - 4605*i/2 - 9207/4 = 0.
-3069, -1
Determine u so that 2*u**4 + 36*u**3 + 162*u**2 + 224*u + 96 = 0.
-12, -4, -1
Solve 2*l**5/19 - 216*l**4/19 - 450*l**3/19 + 1088*l**2/19 + 1320*l/19 = 0 for l.
-3, -1, 0, 2, 110
What is o in 4*o**5 - 28*o**4 + 16*o**3 + 48*o**2 = 0?
-1, 0, 2, 6
Let -3*y**2/2 - 231*y/2 + 117 = 0. Calculate y.
-78, 1
Determine c, given that -3*c**2 + 135*c - 132 = 0.
1, 44
What is a in 4*a**2 - 68*a + 120 = 0?
2, 15
Let -8*q**4/3 - 184*q**3/9 + 290*q**2/9 + 8*q/9 - 10 = 0. What is q?
-9, -1/2, 5/6, 1
Solve -h**5/9 - 5*h**4/9 - 5*h**3/9 + 5*h**2/9 + 2*h/3 = 0 for h.
-3, -2, -1, 0, 1
Factor 6*w**4 - 16*w**3 - 14*w**2 + 24*w.
2*w*(w - 3)*(w - 1)*(3*w + 4)
Let 2*b**5/5 - 14*b**4/5 + 4*b**3/5 + 56*b**2/5 - 48*b/5 = 0. What is b?
-2, 0, 1, 2, 6
Factor 2*j**5/9 - 64*j**4/9 - 280*j**3/9 - 32*j**2.
2*j**2*(j - 36)*(j + 2)**2/9
Find n such that n**2/3 - 1098*n + 904203 = 0.
1647
Determine g, given that -2*g**5/9 - 2*g**4/9 + 46*g**3/9 - 26*g**2/3 + 4*g = 0.
-6, 0, 1, 3
Solve 4*z**4 - 464*z**3 + 13452*z**2 + 464*z - 13456 = 0.
-1, 1, 58
What is v in v**3/5 + 161*v**2/5 + 632*v/5 + 628/5 = 0?
-157, -2
Factor l**2/3 - l/3 - 2.
(l - 3)*(l + 2)/3
Let -15*l**2 + 155*l + 110 = 0. Calculate l.
-2/3, 11
Factor n**3/9 + n**2/9 - 14*n/9 - 8/3.
(n - 4)*(n + 2)*(n + 3)/9
Factor -5*w**3 + 40*w**2 - 25*w - 70.
-5*(w - 7)*(w - 2)*(w + 1)
Find w such that -17*w**3 + 103*w**2/3 - 53*w/3 + 1/3 = 0.
1/51, 1
Suppose 2*o**2/3 + 1540*o/3 - 514 = 0. What is o?
-771, 1
Solve -4*a**5 + 152*a**4 - 2008*a**3 + 10336*a**2 - 15236*a + 6760 = 0.
1, 10, 13
Suppose 2*j**2/7 - 1158*j/7 - 332 = 0. Calculate j.
-2, 581
Factor w**4/7 - 174*w**3/7 - 895*w**2/7.
w**2*(w - 179)*(w + 5)/7
Determine k, given that 12*k**2/7 - 2348*k/7 + 1560/7 = 0.
2/3, 195
Factor 50*t**3 - 1235*t**2 + 1185*t.
5*t*(t - 1)*(10*t - 237)
Factor -2*t**2/3 - 76*t/3 - 110.
-2*(t + 5)*(t + 33)/3
Factor 2*a**4/9 + 38*a**3/3 + 160*a**2 - 600*a.
2*a*(a - 3)*(a + 30)**2/9
Let r**3 + 564*r**2 - 1699*r + 1134 = 0. Calculate r.
-567, 1, 2
Suppose 2*v**5 - 2*v**4 - 24*v**3 = 0. What is v?
-3, 0, 4
Factor 2*t**2/3 - 7*t/9 - 1/3.
(2*t - 3)*(3*t + 1)/9
Factor -g**2/2 - g/2 + 15.
-(g - 5)*(g + 6)/2
Factor -v**3/3 + v**2/3 + 11*v + 21.
-(v - 7)*(v + 3)**2/3
Suppose t**5/4 + 3*t**4/8 - 7*t**3/8 - 9*t**2/8 + 5*t/8 + 3/4 = 0. Calculate t.
-2, -1, 1, 3/2
Determine m, given that -2*m**3 + 20*m**2 + 200*m - 2000 = 0.
-10, 10
Factor -5*r**5 + 25*r**4 - 40*r**3 + 20*r**2.
-5*r**2*(r - 2)**2*(r - 1)
Let -3*i**5/2 + 3*i**4/2 + 9*i**3 - 6*i**2 - 12*i = 0. Calculate i.
-2, -1, 0, 2
Factor -o**3/2 - 29*o**2 + 192*o.
-o*(o - 6)*(o + 64)/2
Determine h so that h**4/3 - 3*h**3 + 2*h**2 + 16*h/3 = 0.
-1, 0, 2, 8
Suppose -k**4/2 + 17*k**3/4 - 25*k**2/2 + 57*k/4 - 9/2 = 0. Calculate k.
1/2, 2, 3
Let 5*y**3 + 65*y**2 - 260*y - 320 = 0. What is y?
-16, -1, 4
Factor 5*m**4 + 370*m**3 + 3765*m**2 - 113960*m + 474320.
5*(m - 7)**2*(m + 44)**2
Factor 3*i**5 + 12*i**4 - 48*i**2 - 48*i.
3*i*(i - 2)*(i + 2)**3
Determine j so that j**4/3 - 94*j**3 + 281*j**2/3 = 0.
0, 1, 281
Let 2*i**4/9 - 394*i**3 + 523330*i**2/3 + 1573538*i/9 = 0. Calculate i.
-1, 0, 887
Factor -j**4 - 2*j**3 + 3*j**2 + 8*j + 4.
-(j - 2)*(j + 1)**2*(j + 2)
Factor u**2 - 11*u + 30.
(u - 6)*(u - 5)
Factor n**2/5 - 474*n/5 - 95.
(n - 475)*(n + 1)/5
What is l in 3*l**3 + 123*l**2 + 1512*l + 4860 = 0?
-18, -5
Factor -3*x**2 + 174*x - 2523.
-3*(x - 29)**2
Solve -y**2/4 + 399*y/2 - 398 = 0.
2, 796
Factor z**2/6 - 149*z + 66603/2.
(z - 447)**2/6
Let -2*d**3/7 - 3084*d**2/7 - 1585176*d/7 - 271593488/7 = 0. Calculate d.
-514
Solve v**2 + 40*v + 400 = 0.
-20
Solve 2*z**4 + 104*z**3 - 2*z**2 - 104*z = 0.
-52, -1, 0, 1
Find a such that -2*a**5 + 6*a**4 + 36*a**3 - 172*a**2 + 222*a - 90 = 0.
-5, 1, 3
Let 4*n**2 + 6672*n + 2782224 = 0. Calculate n.
-834
Factor -729*l**2/5 + 27*l + 6/5.
-3*(9*l - 2)*(27*l + 1)/5
Determine w, given that 2*w**3 - 122*w**2 + 878*w - 1590 = 0.
3, 5, 53
Let -35*m**4 - 230*m**3 - 325*m**2 + 230*m + 360 = 0. Calculate m.
-4, -18/7, -1, 1
Factor l**5/3 + 667*l**4/3 + 146491*l**3/3 + 3395475*l**2 - 29565000*l + 60750000.
(l - 4)**2*(l + 225)**3/3
Factor 12*t**5 - 26*t**4 + 4*t**3.
2*t**3*(t - 2)*(6*t - 1)
Factor -2*m**3/9 - 20*m**2 - 600*m - 6000.
-2*(m + 30)**3/9
Factor 2*l**4 - 84*l**3 + 1034*l**2 - 3192*l + 2888.
2*(l - 19)**2*(l - 2)**2
Find b such that -b**4/2 - 21*b**3 - 441*b**2/2 = 0.
-21, 0
Factor -2*x**4/7 - 62*x**3/7 - 400*x**2/7 - 736*x/7.
-2*x*(x + 4)**2*(x + 23)/7
Solve -4*o**2 - 36*o + 88 = 0.
-11, 2
Factor 3*m**2 - 15*m + 12.
3*(m - 4)*(m - 1)
Factor -t**2/4 - 276*t - 76176.
-(t + 552)**2/4
Let w**5 + 9*w**4 + 3*w**3 - 73*w**2 + 96*w - 36 = 0. What is w?
-6, 1
Factor -5*t**4 + 55*t**3 - 40*t**2 - 100*t.
-5*t*(t - 10)*(t - 2)*(t + 1)
Let 2*w**2/17 + 2364*w/17 + 698562/17 = 0. Calculate w.
-591
Factor n**2/10 + 7*n/5 - 16/5.
(n - 2)*(n + 16)/10
Solve 5*l**2 - 4350*l - 4355 = 0.
-1, 871
Factor 2*l**2/5 + 66*l/5 + 104.
2*(l + 13)*(l + 20)/5
Find l, given that 12*l**3 - 3*l**2 - 108*l + 27 = 0.
-3, 1/4, 3
Determine a, given that -a**5 - 10*a**4 - 31*a**3 - 22*a**2 + 32*a + 32 = 0.
-4, -2, -1, 1
Let 5*u**2 - 1030*u + 1025 = 0. What is u?
1, 205
Determine a so that -2*a**2 + 216*a - 214 = 0.
1, 107
Solve 70*m**2/13 - 2*m/13 - 12/13 = 0 for m.
-2/5, 3/7
Determine k so that -2*k**4/15 - 2*k**3/3 - 2*k**2/5 + 2*k/3 + 8/15 = 0.
-4, -1, 1
Determine z so that -z**4/4 - 9*z**3/2 + 85*z**2/4 - 33*z/2 = 0.
-22, 0, 1, 3
Factor -2*p**3 - 214*p**2 - 6566*p - 43218.
-2*(p + 9)*(p + 49)**2
Determine j so that 2*j**4 + 40*j**3/3 + 14*j**2 - 16*j - 40/3 = 0.
-5, -2, -2/3, 1
Factor -3*x**5/2 + 3*x**4/2 + 84*x**3 + 216*x**2.
-3*x**2*(x - 9)*(x + 4)**2/2
Factor 6*f**3/11 - 78*f**2/11 + 336*f/11 - 480/11.
6*(f - 5)*(f - 4)**2/11
Factor -p**2 + 70*p/3 - 23/3.
-(p - 23)*(3*p - 1)/3
Factor 3*f**2/2 + 12*f + 45/2.
3*(f + 3)*(f + 5)/2
Factor q**3 - 38*q**2 + 69*q + 108.
(q - 36)*(q - 3)*(q + 1)
Solve -2*b**5 - 42*b**4 + 4*b**3 + 84*b**2 - 2*b - 42 = 0 for b.
-21, -1, 1
Factor 2*d**3/21 - 64*d**2/21 + 62*d/21.
2*d*(d - 31)*(d - 1)/21
Find o, given that 10*o**5/3 + 4*o**4/3 - 10*o**3/3 - 4*o**2/3 = 0.
-1, -2/5, 0, 1
What is q in 3*q**5 - 651*q**4 + 34293*q**3 + 114759*q**2 - 308880*q - 980100 = 0?
-3, 3, 110
Factor 28*s**4 - 296*s**3 - 148*s**2 + 176*s.
4*s*(s - 11)*(s + 1)*(7*s - 4)
Factor -3*c**2 + 24*c + 60.
-3*(c - 10)*(c + 2)
Solve 4*q**5/7 + 104*q**4/7 + 1072*q**3/7 + 5472*q**2/7 + 13824*q/7 + 13824/7 = 0 for q.
-6, -4
Factor -4*f**3 + 108*f**2 - 540*f - 2700.
-4*(f - 15)**2*(f + 3)
Determine m, given that 2*m**2 + 100*m + 1250 = 0.
-25
Suppose -6*x**4 + 278*x**3/5 - 64*x**2/5 - 72*x/5 = 0. What is x?
-2/5, 0, 2/3, 9
Find a such that -a**4/3 + 29*a**3/3 - 103*a**2/3 + 25*a = 0.
0, 1, 3, 25
Factor 3*r**2 + 1059*r + 1056.
3*(r + 1)*(r + 352)
Factor -2*f**2/5 + 4*f - 48/5.
-2*(f - 6)*(f - 4)/5
Find k such that 3*k**3 + 12*k**2 + 9*k = 0.
-3, -1, 0
Let s**4/7 - 9*s**3/7 + 12*s**2/7 + 80*s/7 - 192/7 = 0. What is s?
-3, 4
Solve 4*h**5/7 - 48*h**4/7 + 36*h**3/7 + 1080*h**2/7 - 1296*h/7 - 7776/7 = 0.
-3, 6
Let q**2/6 - 3/2 = 0. What is q?
-3, 3
Factor 196*j**