Find i, given that 2*i**5/9 - 16*i**4/9 + 50*i**3/9 - 76*i**2/9 + 56*i/9 - 16/9 = 0.
1, 2
Factor 22*s**2/9 - 158*s/9 + 28/9.
2*(s - 7)*(11*s - 2)/9
Suppose -t**2/5 + 107*t/5 + 218/5 = 0. What is t?
-2, 109
Determine b, given that b**5/7 + 299*b**4/7 + 3480*b**3/7 + 1476*b**2 = 0.
-287, -6, 0
Find f such that -3*f**4 + 30*f**3 - 72*f**2 - 96*f + 384 = 0.
-2, 4
Find k such that -602802*k**5/7 - 1203408*k**4/7 + 431200*k**3 + 3605828*k**2/7 - 13166*k/7 + 12/7 = 0.
-3, -1, 1/549, 2
Factor -3*g**4 + 33*g**3 - 81*g**2 + 75*g - 24.
-3*(g - 8)*(g - 1)**3
Suppose -3*d**2/5 + 3*d/5 = 0. Calculate d.
0, 1
Let 27*z**5/8 - 1341*z**4/2 + 7089*z**3/4 - 1620*z**2 + 4707*z/8 - 147/2 = 0. Calculate z.
1/3, 1, 196
Suppose 2*a**5 - 200*a**4 + 588*a**3 - 584*a**2 + 194*a = 0. What is a?
0, 1, 97
Find d, given that 5*d**4 - 2900*d**3 - 8745*d**2 - 20*d + 11660 = 0.
-2, 1, 583
Let -2*h**3/11 + 18*h**2/11 - 30*h/11 + 14/11 = 0. Calculate h.
1, 7
Let -7*j**5/2 + 5*j**4/2 + 93*j**3/2 + 19*j**2/2 - 43*j - 12 = 0. Calculate j.
-3, -1, -2/7, 1, 4
Factor -s**5/4 + 55*s**4 - 3880*s**3 + 96480*s**2 - 993600*s + 3656448.
-(s - 92)**2*(s - 12)**3/4
Factor 4*q**4/5 + 8*q**3/5 - 144*q**2/5 - 288*q/5.
4*q*(q - 6)*(q + 2)*(q + 6)/5
Factor -4*x**2 - 2236*x.
-4*x*(x + 559)
Solve -15*o**5 + 54*o**4 + 39*o**3 - 54*o**2 - 24*o = 0.
-1, -2/5, 0, 1, 4
Let 21*w**4 + 750*w**3 + 1905*w**2 + 780*w - 396 = 0. What is w?
-33, -2, -1, 2/7
What is h in -4*h**3 - 44*h**2 + 24*h + 864 = 0?
-9, -6, 4
Find t such that -4*t**3 + 15660*t**2 - 20436300*t + 8889790500 = 0.
1305
Find s such that -17*s**4/7 + 36*s**3/7 - 4*s**2/7 = 0.
0, 2/17, 2
Determine y so that 3*y**2 - 12*y - 4551 = 0.
-37, 41
Factor -s**4 + 33*s**3 - 224*s**2 + 192*s.
-s*(s - 24)*(s - 8)*(s - 1)
Determine g so that -g**3/4 - 13*g**2/2 - 23*g/4 + 25/2 = 0.
-25, -2, 1
Determine o, given that 5*o**5 + 5*o**4 - 5*o**3 - 5*o**2 = 0.
-1, 0, 1
Let -3*t**2 - 2133*t - 2130 = 0. Calculate t.
-710, -1
Factor 3*m**3 - 33660*m**2 + 125888400*m - 156940872000.
3*(m - 3740)**3
Suppose -s**3/4 + 7*s**2/2 + 17*s/4 - 15/2 = 0. Calculate s.
-2, 1, 15
What is w in w**4 + 214*w**3 + 11229*w**2 - 23976*w - 34992 = 0?
-108, -1, 3
Suppose w**3/2 + w**2/2 - 28*w + 72 = 0. Calculate w.
-9, 4
Determine l so that -3*l**2 + 396*l - 13068 = 0.
66
Solve 2*v**2/5 - 18*v - 92/5 = 0 for v.
-1, 46
Determine o, given that -2*o**3/7 - 108*o**2/7 - 30*o - 104/7 = 0.
-52, -1
Factor 4*x**3/3 - 124*x**2 - 760*x/3.
4*x*(x - 95)*(x + 2)/3
Factor -12*c**2/7 - 1047*c/7 - 1290/7.
-3*(c + 86)*(4*c + 5)/7
Solve 2*p**2/3 + 92*p/3 + 30 = 0 for p.
-45, -1
Factor 120*n**3 + 28*n**2.
4*n**2*(30*n + 7)
Solve 2*c**4 + 43*c**3 + 211*c**2 + 245*c + 75 = 0 for c.
-15, -5, -1, -1/2
Suppose 3*d**3/8 + 399*d**2/8 + 579*d/4 - 195 = 0. Calculate d.
-130, -4, 1
Determine o, given that -2*o**3/5 + 44*o**2/5 - 74*o/5 - 24 = 0.
-1, 3, 20
Factor 5*j**2/3 - 7150*j/3 + 2556125/3.
5*(j - 715)**2/3
What is j in 5*j**2 + 1730*j = 0?
-346, 0
Suppose 2*a**3/19 - 32*a**2/19 = 0. Calculate a.
0, 16
Let h**3/3 - 2*h**2/3 - 8*h/3 = 0. What is h?
-2, 0, 4
Factor -4*d**4 - 60*d**3 - 192*d**2 + 256*d.
-4*d*(d - 1)*(d + 8)**2
Factor 4*a**2 + 10608*a + 7033104.
4*(a + 1326)**2
Let -m**3/2 + 7*m**2/2 - 7*m + 4 = 0. Calculate m.
1, 2, 4
Factor 4*w**2/7 + 144*w/7 + 116.
4*(w + 7)*(w + 29)/7
Solve -3*j**4 - 69*j**3 - 423*j**2 - 231*j + 726 = 0.
-11, -2, 1
Suppose 3*d**4/5 - 201*d**3/5 + 369*d**2/5 + 1353*d/5 + 156 = 0. What is d?
-1, 4, 65
Find c such that -28*c**3 - 260*c**2 - 296*c - 64 = 0.
-8, -1, -2/7
Factor v**2/9 + 8*v/3 - 25/9.
(v - 1)*(v + 25)/9
Let x**5/6 - 35*x**4/3 + 269*x**3/6 - 166*x**2/3 + 22*x = 0. What is x?
0, 1, 2, 66
Solve -4*x**3/3 - 80*x**2 - 1508*x/3 - 424 = 0 for x.
-53, -6, -1
Factor -4*s**5 - 8*s**4 + 16*s**3 + 32*s**2.
-4*s**2*(s - 2)*(s + 2)**2
Suppose 6*o**4 - 75*o**3 + 12*o**2 + 300*o - 144 = 0. What is o?
-2, 1/2, 2, 12
Let 2*i**2 - 1320*i = 0. What is i?
0, 660
Determine b, given that -2*b**3/13 - 232*b**2/13 - 480*b + 28800/13 = 0.
-60, 4
Factor -4*u**2/7 - 1536*u/7 + 3088/7.
-4*(u - 2)*(u + 386)/7
Find c, given that -c**5 - c**4 + 21*c**3 + 45*c**2 = 0.
-3, 0, 5
Factor -6*u**3 - 1154*u**2 - 3786*u - 1134.
-2*(u + 3)*(u + 189)*(3*u + 1)
Find t such that -2*t**2/5 - 32*t/5 + 72/5 = 0.
-18, 2
Factor -2*a**2/9 - 104*a/9 - 1352/9.
-2*(a + 26)**2/9
Let -314*n**5/3 + 106*n**4 + 310*n**3/3 - 106*n**2 + 4*n/3 = 0. What is n?
-1, 0, 2/157, 1
Factor -2*f**5 + 892*f**4 - 132312*f**3 + 6482692*f**2 + 6615898*f.
-2*f*(f - 149)**3*(f + 1)
Let -4*m**3 - 232*m**2 - 3364*m = 0. What is m?
-29, 0
Factor -3*m**3 + 99*m**2 - 864*m + 768.
-3*(m - 16)**2*(m - 1)
Factor c**3/11 - 23*c**2/11 + 118*c/11 - 96/11.
(c - 16)*(c - 6)*(c - 1)/11
Solve 2*i**2/3 - 8092*i/3 + 8185058/3 = 0.
2023
What is q in 2*q**2/9 - 50*q/9 - 176/3 = 0?
-8, 33
Solve -2*j**5/13 + 2*j**4/13 + 2*j**3/13 - 2*j**2/13 = 0 for j.
-1, 0, 1
Factor a**3/7 + 4*a**2/7 + a/7 - 6/7.
(a - 1)*(a + 2)*(a + 3)/7
Factor s**3 - 21*s**2 + 54*s.
s*(s - 18)*(s - 3)
Factor 2179872*u**2/17 - 4176*u/17 + 2/17.
2*(1044*u - 1)**2/17
Factor 5*l**3 + 80*l**2 - 460*l - 1200.
5*(l - 6)*(l + 2)*(l + 20)
Determine h so that 4*h**3 + 792*h**2 + 52272*h + 1149984 = 0.
-66
Factor 3*f**4/7 + 20*f**3/7 + 23*f**2/7 - 10*f/7.
f*(f + 2)*(f + 5)*(3*f - 1)/7
Factor -y**5/4 - 49*y**4/4 - 523*y**3/4 + 1873*y**2/4 - 494*y + 169.
-(y - 1)**3*(y + 26)**2/4
Factor -3*n**3 + 63*n**2 + 723*n - 783.
-3*(n - 29)*(n - 1)*(n + 9)
Factor 2*p**4/21 + 8*p**3/21 - 2*p**2/3 - 20*p/21.
2*p*(p - 2)*(p + 1)*(p + 5)/21
Factor 4*c**3/5 - 36*c**2/5 + 16*c.
4*c*(c - 5)*(c - 4)/5
Factor -2*p**2/5 + 32*p/5 + 34/5.
-2*(p - 17)*(p + 1)/5
Solve -q**3/2 - 15*q**2/2 - 24*q - 22 = 0.
-11, -2
Factor -2*c**2/5 + 8*c - 72/5.
-2*(c - 18)*(c - 2)/5
Find i such that 25*i**4/3 - 55*i**3 - 920*i**2/3 + 220*i + 400/3 = 0.
-4, -2/5, 1, 10
Determine d so that 42*d**5 + 278*d**4/3 - 626*d**3/3 - 182*d**2/3 + 500*d/3 - 32 = 0.
-24/7, -1, 2/9, 1
Let -5*q**2 + 150*q - 1105 = 0. Calculate q.
13, 17
Factor 4*n**4 + 848*n**3 + 35664*n**2 - 983680*n + 5382400.
4*(n - 10)**2*(n + 116)**2
Let i**5/6 - 3*i**4/2 + 25*i**3/6 - 9*i**2/2 + 5*i/3 = 0. Calculate i.
0, 1, 2, 5
Suppose 199*a**3/5 - 1191*a**2/5 + 977*a/5 + 3 = 0. Calculate a.
-3/199, 1, 5
Factor 4*o**4 + 16*o**3 - 60*o**2 - 72*o.
4*o*(o - 3)*(o + 1)*(o + 6)
Solve -4*m**5/3 - 44*m**4/3 - 80*m**3/3 + 320*m**2/3 + 128*m - 192 = 0 for m.
-6, -2, 1, 2
Factor -2*d**3/5 - 6*d**2 - 96*d/5 - 88/5.
-2*(d + 2)**2*(d + 11)/5
Factor -3*z**5/4 + 15*z**4 - 111*z**3/4 + 27*z**2/2.
-3*z**2*(z - 18)*(z - 1)**2/4
Suppose f**5 - 76*f**4 - f**3 + 76*f**2 = 0. What is f?
-1, 0, 1, 76
Factor 91*o**3/4 - 69*o**2 + 191*o/4 - 3/2.
(o - 2)*(o - 1)*(91*o - 3)/4
Find c, given that c**5 + 97*c**4 - 401*c**3 + 303*c**2 = 0.
-101, 0, 1, 3
Suppose -2*j**3 + 5314*j**2 - 3532480*j + 3527168 = 0. What is j?
1, 1328
Solve -52*b**3 + 1604*b**2 + 248*b = 0 for b.
-2/13, 0, 31
Factor -18*v**3 - 39*v**2 + 48*v + 9.
-3*(v - 1)*(v + 3)*(6*v + 1)
Determine d so that -2*d**2/3 + 14*d = 0.
0, 21
Determine n so that 410*n**2 + 1655*n + 60 = 0.
-4, -3/82
Factor -2*q**4/7 - 278*q**3/7 - 1360*q**2 + 1400*q.
-2*q*(q - 1)*(q + 70)**2/7
Determine b so that -4*b**4 - 25*b**3/2 + 5*b**2/2 + 25*b/2 + 3/2 = 0.
-3, -1, -1/8, 1
Let 9248*l**3 + 14416*l**2 - 7710*l + 900 = 0. Calculate l.
-2, 15/68
Factor -z**3 + 169*z**2 + 692*z.
-z*(z - 173)*(z + 4)
Let 2*b**4 - 37*b**3 - 68*b**2 + 163*b - 60 = 0. Calculate b.
-3, 1/2, 1, 20
Factor -h**5 - 2*h**4 + 4*h**3 + 2*h**2 - 3*h.
-h*(h - 1)**2*(h + 1)*(h + 3)
Factor -32*u**3/9 + 368*u**2/9 - 166*u/3 + 20.
-2*(u - 10)*(4*u - 3)**2/9
Find o, given that -2*o**3/7 - 78*o**2/7 - 150*o/7 - 74/7 = 0.
-37, -1
Factor 2*g**4/5 + 12*g**3/5 + 2*g**2/5 - 48*g/5 + 32/5.
2*(g - 1)**2*(g + 4)**2/5
Factor 12*y**3 - 777*y**2 + 1332*y - 567.
3*(y - 63)*(y - 1)*(4*y - 3)
Suppose -5*h**4 - 90*h**3 - 495*h**2 - 1010*h - 600 = 0. Calculate h.
-10, -4, -3, -1
Let k**5/4 + 23*k**4/2 - 47*k**3/4 = 0. Calculate k.
-47, 0, 1
Factor 4*s**2 + 856*s + 3360.
4*(s + 4)*(s + 210)
Factor -3*s**2 + 3852*s + 7716.
-3*(s - 1286)*(s + 2)
Determine r so that 2*r**3/9 - 56*r**2/9 - 160*r/9 + 3200/3 = 0.
-12, 20
Determine j so that j**2 + 4184*j + 4376464 = 0.
-2092
Let 3*m**4/4 + 93*m**3/2 + 3063*m**2/4 + 1395*m + 675 = 0. C