olve 3*q**4 + 28*q**3 + 33*q**2 + 8*q = 0 for q.
-8, -1, -1/3, 0
Factor 5*b**3 - 235*b**2 + 2875*b - 2645.
5*(b - 23)**2*(b - 1)
Suppose 4*c**2 + 7004*c = 0. Calculate c.
-1751, 0
Factor -2*b**3 - 320*b**2 + 8*b + 1280.
-2*(b - 2)*(b + 2)*(b + 160)
Determine t so that -t**2/8 + 711*t/8 + 1071/4 = 0.
-3, 714
What is b in 9*b**4/2 - 12*b**3 - 45*b**2/2 - 6*b = 0?
-1, -1/3, 0, 4
Determine j so that -4*j**3 - 20*j**2 + 32*j + 192 = 0.
-4, 3
Suppose -3*n**4/2 + 39*n**3/2 - 123*n**2/2 + 141*n/2 - 27 = 0. Calculate n.
1, 2, 9
Solve t**2/10 + 17*t/10 + 3 = 0.
-15, -2
What is r in -12*r**2 - 710*r - 812 = 0?
-58, -7/6
Find u, given that 2*u**4/3 - 188*u**3/3 - 192*u**2 - 580*u/3 - 194/3 = 0.
-1, 97
Find k, given that -k**3/6 + 11*k**2/3 + 112*k/3 + 80 = 0.
-4, 30
Factor k**2/4 - 71*k/4 + 69/2.
(k - 69)*(k - 2)/4
What is s in 14*s**2 + 744*s + 1432 = 0?
-358/7, -2
Factor -l**4/2 - 47*l**3/2 - 205*l**2 + 1846*l + 2028.
-(l - 6)*(l + 1)*(l + 26)**2/2
Factor -y**2/5 + 103*y/5 - 202/5.
-(y - 101)*(y - 2)/5
Suppose 4*n**3 + 24420*n**2 + 49694700*n + 33709571500 = 0. What is n?
-2035
Factor i**3 - 26*i**2 - i + 26.
(i - 26)*(i - 1)*(i + 1)
What is a in -2*a**4 + 96*a**3 - 1226*a**2 + 2172*a - 1040 = 0?
1, 20, 26
Let 4*x**3 - 23*x**2 - 6*x = 0. Calculate x.
-1/4, 0, 6
Factor 3*t**2/5 - 9*t/5 + 6/5.
3*(t - 2)*(t - 1)/5
Determine q so that q**5 - 35*q**4 + 343*q**3 + 55*q**2 - 11144*q + 10780 = 0.
-5, 1, 11, 14
Factor 2*c**2 + 592*c + 43808.
2*(c + 148)**2
Factor -4*p**3/7 + 428*p**2/7 - 416*p/7 - 848/7.
-4*(p - 106)*(p - 2)*(p + 1)/7
Suppose 4*n**2/5 + 256*n/5 + 768 = 0. Calculate n.
-40, -24
Suppose -50*s**5 + 4590*s**4 - 12598*s**3 + 12338*s**2 - 4992*s + 712 = 0. Calculate s.
2/5, 1, 89
Factor 3*j**5 - 18*j**4 - 72*j**3 - 78*j**2 - 27*j.
3*j*(j - 9)*(j + 1)**3
Factor 2*m**3/9 - 830*m**2/9.
2*m**2*(m - 415)/9
Factor 24*z**4/7 + 201*z**3/7 + 513*z**2/7 + 243*z/7 - 405/7.
3*(z + 3)**3*(8*z - 5)/7
Solve m**3/2 + 825*m**2/2 + 85284*m + 84872 = 0.
-412, -1
Let -2*u**2 + 17148*u - 36756738 = 0. Calculate u.
4287
Suppose 2*d**2/9 + 4*d/3 + 10/9 = 0. What is d?
-5, -1
Factor -3*o**5 - 57*o**4 - 345*o**3 - 723*o**2 - 624*o - 192.
-3*(o + 1)**3*(o + 8)**2
Determine b, given that -9*b**3/4 + 21*b**2/2 + 17*b + 6 = 0.
-2/3, 6
Determine l so that -l**3/10 - 72*l**2 - 130317*l/10 - 128881/5 = 0.
-359, -2
Suppose -z**2/7 + 4*z/7 = 0. What is z?
0, 4
Factor -j**3 - 76*j**2 - 288*j.
-j*(j + 4)*(j + 72)
What is p in -2*p**3/11 + 86*p**2/11 + 368*p/11 + 376/11 = 0?
-2, 47
Solve 4*x**5 - 32*x**4 + 80*x**3 - 40*x**2 - 84*x + 72 = 0.
-1, 1, 2, 3
Suppose -d**2 + 958*d - 957 = 0. Calculate d.
1, 957
Factor 3*x**4 + 66*x**3 + 432*x**2 + 384*x - 3072.
3*(x - 2)*(x + 8)**3
Factor v**4/3 - 2*v**3 + 4*v**2 - 10*v/3 + 1.
(v - 3)*(v - 1)**3/3
Factor -15*u**2 - 42*u + 441.
-3*(u + 7)*(5*u - 21)
Determine j so that -5*j**2/2 + 100*j - 1000 = 0.
20
Suppose 3*j**5/8 - 33*j**4/8 - 9*j**3/8 + 105*j**2/8 - 33*j/4 = 0. Calculate j.
-2, 0, 1, 11
Suppose 4*z**2/5 - 644*z + 3216/5 = 0. Calculate z.
1, 804
Solve 2*f**3 + 4872*f**2 + 3956064*f + 1070774656 = 0.
-812
Solve 3*v**3 + 1161*v**2 + 111744*v - 112908 = 0 for v.
-194, 1
Factor -3*x**5/7 + 396*x**4/7 - 19602*x**3/7 + 431244*x**2/7 - 3557763*x/7.
-3*x*(x - 33)**4/7
Factor 4*k**5 + 16*k**4 + 4*k**3 - 24*k**2.
4*k**2*(k - 1)*(k + 2)*(k + 3)
Factor 2*h**3/23 - 116*h**2/23 + 634*h/23 - 520/23.
2*(h - 52)*(h - 5)*(h - 1)/23
Find v, given that 5*v**4 + 80*v**3 + 145*v**2 + 70*v = 0.
-14, -1, 0
Solve -3*w**2/4 - 54*w - 621/4 = 0.
-69, -3
Solve 5*l**5 - 53*l**4 + 198*l**3 - 292*l**2 + 88*l + 96 = 0 for l.
-2/5, 2, 3, 4
Suppose 2*m**3/9 - 8*m**2/3 + 8*m = 0. What is m?
0, 6
Let -5*l**3 - 5*l**2 = 0. Calculate l.
-1, 0
Find z such that 2*z**5/5 + 9*z**4/5 + 11*z**3/5 - 4*z/5 = 0.
-2, -1, 0, 1/2
Factor 2*u**3/3 + 82*u**2/3 - 28*u.
2*u*(u - 1)*(u + 42)/3
Factor -3*b**5 - 159*b**4 + 666*b**3 - 1014*b**2 + 681*b - 171.
-3*(b - 1)**4*(b + 57)
What is o in o**3/2 + 49*o**2/2 + 113*o + 132 = 0?
-44, -3, -2
Let -8*j**4/3 + 2132*j**3/3 - 10537*j**2/6 - 2023*j/2 - 132 = 0. Calculate j.
-1/4, 3, 264
Find z, given that z**3/4 - 23*z**2/2 + 112*z = 0.
0, 14, 32
Factor -2*m**2 - 1954*m.
-2*m*(m + 977)
Factor -2*n**2/17 + 4272*n/17 - 2281248/17.
-2*(n - 1068)**2/17
Find h such that 2*h**2 + 72*h - 152 = 0.
-38, 2
Find k such that 3*k**3 - 303*k**2 + 7497*k + 7803 = 0.
-1, 51
Factor -4*j**4 - 16*j**3 + 12*j**2 + 40*j - 32.
-4*(j - 1)**2*(j + 2)*(j + 4)
Determine u so that 2*u**3/3 - 133*u**2/3 + 20*u + 132 = 0.
-3/2, 2, 66
Factor 3*g**2/2 - 33*g/2 - 39.
3*(g - 13)*(g + 2)/2
Factor -2*w**2/5 + 18*w/5 + 72/5.
-2*(w - 12)*(w + 3)/5
Determine y, given that -4*y**4 - 208*y**3 - 600*y**2 - 592*y - 196 = 0.
-49, -1
Factor w**4/2 - 2*w**3 + 3*w**2/2.
w**2*(w - 3)*(w - 1)/2
Factor -m**3 - 13*m**2 - 48*m - 36.
-(m + 1)*(m + 6)**2
Factor 2*t**3/5 + 864*t**2/5 + 1722*t/5 + 172.
2*(t + 1)**2*(t + 430)/5
Factor -2*m**4/7 + 16*m**3/7 + 96*m**2/7 - 512*m/7 - 2048/7.
-2*(m - 8)**2*(m + 4)**2/7
Factor 2*n**2 - 264*n + 4480.
2*(n - 112)*(n - 20)
Factor 3*v**3 + 129*v**2 - 138*v - 264.
3*(v - 2)*(v + 1)*(v + 44)
Find r, given that 3*r**5/5 + 36*r**4/5 - 39*r**3/5 = 0.
-13, 0, 1
Factor 3*n**2/5 + 6*n/5 + 3/5.
3*(n + 1)**2/5
Let 3*o**5 - 6*o**4 - 24*o**3 - 6*o**2 + 21*o + 12 = 0. Calculate o.
-1, 1, 4
Suppose s**3 + 34*s**2/3 + 24*s - 64/3 = 0. Calculate s.
-8, -4, 2/3
Factor 7*p**5 - 82*p**4 + 240*p**3.
p**3*(p - 6)*(7*p - 40)
Factor -3*d**2/2 - 352*d/3 - 26.
-(d + 78)*(9*d + 2)/6
Determine t, given that 4*t**4/5 - 4*t**2/5 = 0.
-1, 0, 1
What is l in l**3 + 132*l**2 - 4635*l + 36450 = 0?
-162, 15
Suppose -8*v**5 + 308*v**4 + 820*v**3 + 20*v**2 - 812*v - 328 = 0. What is v?
-2, -1, -1/2, 1, 41
What is j in -5*j**4 - 680*j**3 - 34680*j**2 - 786080*j - 6681680 = 0?
-34
Factor -5*k**5/2 + 80*k**4 - 225*k**3 + 220*k**2 - 145*k/2.
-5*k*(k - 29)*(k - 1)**3/2
Find o, given that o**2 + 16*o - 225 = 0.
-25, 9
What is w in -5*w**4 - 255*w**3 + 270*w**2 + 520*w = 0?
-52, -1, 0, 2
Factor -42*l**4/5 - 16*l**3 - 34*l**2/5 + 4*l/5.
-2*l*(l + 1)**2*(21*l - 2)/5
Factor -2*l**3/7 - 66*l**2/7 - 18*l - 62/7.
-2*(l + 1)**2*(l + 31)/7
Let 3*p**5/5 - 12*p**3/5 - 6*p**2/5 + 9*p/5 + 6/5 = 0. Calculate p.
-1, 1, 2
Let d**2 + 116*d + 115 = 0. Calculate d.
-115, -1
Determine k so that -2*k**4 + 12*k**3 - 10*k**2 - 48*k + 72 = 0.
-2, 2, 3
Factor -8410*x**3/3 - 725*x**2/3 + 460*x - 60.
-5*(2*x + 1)*(29*x - 6)**2/3
Factor s**3 - 18*s**2 + 87*s - 70.
(s - 10)*(s - 7)*(s - 1)
Determine p, given that -3*p**5 + 21*p**4 - 9*p**3 - 177*p**2 + 312*p - 144 = 0.
-3, 1, 4
Determine q, given that q**4/2 + 5*q**3/2 + 5*q**2/2 - 5*q/2 - 3 = 0.
-3, -2, -1, 1
Factor 3*i**4 + 1245*i**3 + 129789*i**2 + 128547*i.
3*i*(i + 1)*(i + 207)**2
Let -2*q**3/5 + 116*q**2/5 - 114*q/5 = 0. What is q?
0, 1, 57
Factor 2*a**5/3 + 14*a**4 - 46*a**3 + 142*a**2/3 - 16*a.
2*a*(a - 1)**3*(a + 24)/3
Solve 6*f**2/5 - 7942*f/15 + 588/5 = 0 for f.
2/9, 441
Find m, given that -2*m**2 + 16*m + 40 = 0.
-2, 10
What is b in 14*b**5 + 59*b**4 + 59*b**3 - 22*b**2 - 28*b + 8 = 0?
-2, -1, 2/7, 1/2
Solve 3*p**5/8 - 51*p**4/8 + 57*p**3/2 - 12*p**2 - 120*p + 150 = 0.
-2, 2, 5, 10
Factor 3*k**2 + 2856*k + 679728.
3*(k + 476)**2
Suppose v**2 + 59*v - 186 = 0. What is v?
-62, 3
Find l, given that l**5/5 - 58*l**4/5 + 321*l**3/5 - 468*l**2/5 = 0.
0, 3, 52
Factor -27*i**2/8 + 79*i/8 + 3/4.
-(i - 3)*(27*i + 2)/8
Factor d**2/7 + 5*d/7 - 6/7.
(d - 1)*(d + 6)/7
Suppose g**4/10 - g**3/10 - 3*g**2/10 + g/2 - 1/5 = 0. What is g?
-2, 1
Factor 135*u**3 - 3570*u**2 - 2015*u - 270.
5*(u - 27)*(3*u + 1)*(9*u + 2)
Determine t, given that 2*t**2 + 568*t + 1128 = 0.
-282, -2
Factor -4*a**2 - 80*a - 400.
-4*(a + 10)**2
Determine w, given that 4*w**3/3 + 140*w**2/9 + 88*w/9 = 0.
-11, -2/3, 0
Solve -d**3/2 + d**2 + 9*d/2 - 9 = 0.
-3, 2, 3
What is l in -2*l**5 + 72*l**4 + 308*l**3 + 472*l**2 + 318*l + 80 = 0?
-1, 40
Factor -2*l**2 + 16*l - 30.
-2*(l - 5)*(l - 3)
Suppose -2*b**4/17 + 46*b**3/17 - 162*b**2/17 + 194*b/17 - 76/17 = 0. What is b?
1, 2, 19
Factor -5*d**4 - 40*d**3 - 105*d**2 - 110*d - 40.
-5*(d + 1)**2*(d + 2)*(d + 4)
What is h in 21*h**4/8 + 165*h**3/8 + 81*h**2/8 - 1065*h/8 + 75/4 = 0?
-5, 1/7, 2
Factor -2*r**3/17 + 26*r/17 - 24/17.
-2*(r - 3)*(r - 1)*(r + 4)/17
Factor 5*s**4 - 80