ne r, given that 2*r**3/3 + 34*r**2 + 312*r = 0.
-39, -12, 0
Factor 4*f**2 - 116*f + 112.
4*(f - 28)*(f - 1)
Suppose -32*u**4 + 114416*u**3 - 102244994*u**2 - 51143952*u - 6393888 = 0. What is u?
-1/4, 1788
Let 2*q**5/5 - 28*q**4/5 + 76*q**3/5 + 64*q**2/5 - 222*q/5 - 36 = 0. What is q?
-1, 3, 10
Factor 2*k**3 + 10*k**2 - 16*k - 96.
2*(k - 3)*(k + 4)**2
Factor -3*b**2 + 486*b + 984.
-3*(b - 164)*(b + 2)
Factor -4*t**2 - 132*t - 1080.
-4*(t + 15)*(t + 18)
Let -2*w**3 - 60*w**2 + 2*w + 60 = 0. Calculate w.
-30, -1, 1
Factor -4*j**2 - 1836*j + 3688.
-4*(j - 2)*(j + 461)
What is j in -j**5 + j**4 + 11*j**3 - 29*j**2 + 26*j - 8 = 0?
-4, 1, 2
What is y in -5*y**3 + 56*y**2 - 28*y - 320 = 0?
-2, 16/5, 10
Find t, given that 2*t**5 - 72*t**4 + 568*t**3 + 1516*t**2 - 570*t - 1444 = 0.
-2, -1, 1, 19
Determine p, given that -4*p**4/7 + 4*p**3/7 + 4*p**2 - 4*p/7 - 24/7 = 0.
-2, -1, 1, 3
What is x in -2*x**3/7 - 102*x**2/7 - 558*x/7 - 810/7 = 0?
-45, -3
Factor -3*s**3 + 51*s**2 - 189*s - 243.
-3*(s - 9)**2*(s + 1)
Factor g**2/7 + 242*g/7 + 14641/7.
(g + 121)**2/7
Suppose -i**2/5 + 16*i/5 + 16 = 0. What is i?
-4, 20
Factor 3*n**2 - 123*n + 234.
3*(n - 39)*(n - 2)
Suppose -50*s**4/3 + 5005*s**3 - 1496*s**2 - 3604*s/3 + 400 = 0. Calculate s.
-1/2, 2/5, 300
What is c in -4*c**3/5 + 232*c**2/5 + 96*c = 0?
-2, 0, 60
Factor -2*j**2/3 + 260*j/3 - 336.
-2*(j - 126)*(j - 4)/3
Suppose 3*t**5 + 3*t**4 - 6*t**3 = 0. What is t?
-2, 0, 1
Suppose -w**3/2 - 15*w**2 + 31*w/2 = 0. What is w?
-31, 0, 1
Suppose s**3/3 + s**2 + 2*s/3 = 0. Calculate s.
-2, -1, 0
Find a, given that -2*a**3/5 - 14*a**2/5 - 16*a/5 + 32/5 = 0.
-4, 1
Factor 2*y**2/7 + 1662*y/7.
2*y*(y + 831)/7
Suppose 4*s**5 + 64*s**4 + 244*s**3 - 184*s**2 - 640*s + 512 = 0. Calculate s.
-8, -2, 1
Suppose 3*y**3/2 - 87*y**2/2 + 165*y/2 - 81/2 = 0. Calculate y.
1, 27
Solve -3*z**2 + 27*z - 42 = 0 for z.
2, 7
Find u such that -4*u**5/9 - 25*u**4/3 - 25*u**3 + 25*u**2/9 + 41*u - 10 = 0.
-15, -3, -2, 1/4, 1
Factor 4*b**2/3 - 56*b.
4*b*(b - 42)/3
Factor -5*h**5 + 200*h**4 - 385*h**3 + 190*h**2.
-5*h**2*(h - 38)*(h - 1)**2
Factor -2*t**5/5 - 404*t**4/5 + 406*t**3/5.
-2*t**3*(t - 1)*(t + 203)/5
Factor -k**3 + 831*k**2 - 230187*k + 21253933.
-(k - 277)**3
Factor -2*u**2/3 + 2*u + 20/3.
-2*(u - 5)*(u + 2)/3
Find a such that -2*a**5/15 + 8*a**4/5 - 14*a**3/3 + 8*a**2/3 + 24*a/5 - 64/15 = 0.
-1, 1, 2, 8
Let 4*a**5 - 76*a**4 + 172*a**3 + 3132*a**2 - 7776*a - 46656 = 0. What is a?
-4, 9
Factor -f**2/5 - 23*f/5 + 10.
-(f - 2)*(f + 25)/5
Solve z**4 - 23*z**3 + 156*z**2 - 220*z - 400 = 0.
-1, 4, 10
Factor 23*a**4 + 922*a**3 + 1828*a**2 + 152*a.
a*(a + 2)*(a + 38)*(23*a + 2)
Solve -d**5/3 + d**4 + 5*d**3/3 - d**2 - 4*d/3 = 0.
-1, 0, 1, 4
Factor -n**3/3 + 5*n**2.
-n**2*(n - 15)/3
Factor 4*z**4/3 + 2684*z**3/3 + 7980*z**2 + 23868*z + 23832.
4*(z + 3)**3*(z + 662)/3
Factor -l**2 + 20*l + 21.
-(l - 21)*(l + 1)
What is a in 2*a**4 + 94*a**3/3 + 46*a**2/3 - 206*a/3 + 20 = 0?
-15, -2, 1/3, 1
Determine o so that 10*o**4/7 + 4*o**3 - 10*o**2 - 136*o/7 + 24 = 0.
-3, -14/5, 1, 2
Factor -a**4/3 + 32*a**3/3 - 115*a**2/3 + 28*a.
-a*(a - 28)*(a - 3)*(a - 1)/3
Determine p, given that 2*p**3 - 796*p**2 = 0.
0, 398
Suppose -4*r**5 + 172*r**4 - 476*r**3 - 172*r**2 + 480*r = 0. What is r?
-1, 0, 1, 3, 40
Factor 4*g**4/5 - 12*g**3/5 - 12*g**2/5 + 28*g/5 + 24/5.
4*(g - 3)*(g - 2)*(g + 1)**2/5
Factor 2*y**3/5 + 92*y**2/5 + 362*y/5 - 1968/5.
2*(y - 3)*(y + 8)*(y + 41)/5
Factor w**2/7 + 3970*w/7 + 3940225/7.
(w + 1985)**2/7
Factor 7203*f**5 + 21903*f**4 + 22494*f**3 + 8094*f**2 + 303*f + 3.
3*(f + 1)**3*(49*f + 1)**2
Factor 3*z**2/8 + 63*z/8 + 30.
3*(z + 5)*(z + 16)/8
Determine d, given that 2*d**3/5 - 8*d**2 + 74*d/5 - 36/5 = 0.
1, 18
Factor -c**5 + 259*c**4 - 21643*c**3 + 519137*c**2 + 5259544*c + 11279504.
-(c - 89)**3*(c + 4)**2
Factor -q**2/2 - 71*q/2 + 316.
-(q - 8)*(q + 79)/2
Solve -2*m**2 - 50*m = 0 for m.
-25, 0
Factor -5*h**2 + 1850*h - 1845.
-5*(h - 369)*(h - 1)
Factor i**4/3 - i**3/3 - 4*i**2 + 28*i/3 - 16/3.
(i - 2)**2*(i - 1)*(i + 4)/3
Find w, given that w**4/6 - w**3/3 - 5*w**2/6 + w = 0.
-2, 0, 1, 3
Factor v**5 - 6*v**4 + 5*v**3.
v**3*(v - 5)*(v - 1)
Let -2*x**5 - 10*x**4 + 20*x**3 + 40*x**2 - 48*x = 0. What is x?
-6, -2, 0, 1, 2
Determine p, given that -4*p**4 - 202*p**3 - 100*p**2 = 0.
-50, -1/2, 0
Let 4*l**3 + 172*l**2 - 4*l - 172 = 0. Calculate l.
-43, -1, 1
Solve 3*d**2 + 180*d + 177 = 0.
-59, -1
Factor 3*f**3/4 + 27*f**2/4 - 75*f/4 - 99/4.
3*(f - 3)*(f + 1)*(f + 11)/4
Factor 3*b**2/7 + 69*b + 1422/7.
3*(b + 3)*(b + 158)/7
Solve -q**5/4 + 19*q**4/4 + 21*q**3/4 - 19*q**2/4 - 5*q = 0 for q.
-1, 0, 1, 20
What is j in 12*j**4 - 81*j**3 + 123*j**2 + 36*j = 0?
-1/4, 0, 3, 4
Factor c**4/2 + 17*c**3 + 126*c**2 - 324*c.
c*(c - 2)*(c + 18)**2/2
Suppose y**2/10 + 6*y/5 + 27/10 = 0. What is y?
-9, -3
Find v, given that -3*v**5 + 23*v**4 + 290*v**3 + 574*v**2 + 385*v + 75 = 0.
-5, -1, -1/3, 15
Find l, given that -2*l**3/15 - 6*l**2/5 - 8*l/3 - 8/5 = 0.
-6, -2, -1
Solve 4*n**4/7 + 240*n**3/7 - 1004*n**2/7 + 1272*n/7 - 512/7 = 0 for n.
-64, 1, 2
Let -2*z**2 - 2404*z - 722402 = 0. What is z?
-601
Suppose 486*h**5 + 8613*h**4/2 - 957*h**3 - 5931*h**2/2 + 1596*h - 216 = 0. What is h?
-9, -1, 1/4, 4/9
Determine x so that -2*x**4/3 + 166*x**3/3 + 170*x**2 + 514*x/3 + 172/3 = 0.
-1, 86
Factor -r**3/5 - 671*r**2/5 - 112224*r/5 + 112896/5.
-(r - 1)*(r + 336)**2/5
Determine k so that 5*k**3 + 90*k**2 + 160*k = 0.
-16, -2, 0
What is l in 3*l**3/4 - 81*l**2 + 8415*l/4 + 9075/2 = 0?
-2, 55
Let 3*w**5/4 - 27*w**4/4 + 39*w**3/4 + 27*w**2/4 - 21*w/2 = 0. What is w?
-1, 0, 1, 2, 7
Solve -4*w**3/3 - 4*w**2 + 64*w/3 - 16 = 0.
-6, 1, 2
Factor -5*c**3 - 40*c**2 + 215*c + 550.
-5*(c - 5)*(c + 2)*(c + 11)
Determine q, given that -6*q**2 - 7*q - 1 = 0.
-1, -1/6
Find g, given that 4*g**5 + 4*g**4 = 0.
-1, 0
Find s, given that -2*s**3/11 + 26*s**2/11 + 8*s/11 - 104/11 = 0.
-2, 2, 13
Let 5*t**3/4 - 25*t**2/2 - 55*t/4 = 0. What is t?
-1, 0, 11
Factor -5*j**2 - 1595*j + 4830.
-5*(j - 3)*(j + 322)
Solve 20*n**5 + 24*n**4 - 92*n**3 + 48*n**2 = 0.
-3, 0, 4/5, 1
Factor -55*j**2/2 + 280*j - 50.
-5*(j - 10)*(11*j - 2)/2
Factor 49*l**3/2 - 1491*l**2/2 - 432*l - 62.
(l - 31)*(7*l + 2)**2/2
Factor -o**3/5 + 59*o**2/5 + o/5 - 59/5.
-(o - 59)*(o - 1)*(o + 1)/5
Factor 3*l**2/8 - 15*l/8 - 153/2.
3*(l - 17)*(l + 12)/8
Factor l**4/6 - 3*l**3/2 - 3*l**2/2 + 27*l/2.
l*(l - 9)*(l - 3)*(l + 3)/6
Determine l, given that 2*l**3/9 - 14*l**2/9 + 20*l/9 = 0.
0, 2, 5
Find k such that 2*k**5 + 100*k**4 + 1434*k**3 + 4600*k**2 + 4232*k = 0.
-23, -2, 0
Suppose 24*b**5 - 5610*b**4 + 327117*b**3 + 85647*b**2 - 206037*b + 41067 = 0. Calculate b.
-1, 1/4, 1/2, 117
Let 3*g**4/7 + 1119*g**3/7 + 103779*g**2/7 - 107151*g/7 - 209814/7 = 0. What is g?
-187, -1, 2
Factor -2*m**4/11 + 70*m**3/11 + 146*m**2/11 + 74*m/11.
-2*m*(m - 37)*(m + 1)**2/11
Determine y, given that 2*y**2/5 + 164*y/5 - 336/5 = 0.
-84, 2
What is o in 3*o**2/8 - 1383*o + 1275126 = 0?
1844
Factor -2*u**4 - 186*u**3 + 2*u**2 + 186*u.
-2*u*(u - 1)*(u + 1)*(u + 93)
Factor 3*o**3 - 24951*o**2 + 51891840*o - 51866892.
3*(o - 4158)**2*(o - 1)
Let 3*x**5 + 117*x**4 + 324*x**3 = 0. Calculate x.
-36, -3, 0
Factor 2*n**5 + 12*n**4 - 14*n**3.
2*n**3*(n - 1)*(n + 7)
Factor 2*u**5/11 + 592*u**4/11 + 65712*u**3/11 + 3241792*u**2/11 + 59973152*u/11.
2*u*(u + 74)**4/11
Determine v, given that 4*v**2 + 76*v + 192 = 0.
-16, -3
Factor a**3/2 + 367*a**2/2 + 33855*a/2 + 33489/2.
(a + 1)*(a + 183)**2/2
Let -v**4/5 + 2*v**3/5 + 36*v**2/5 - 162*v/5 + 189/5 = 0. Calculate v.
-7, 3
Factor -x**3/2 + x**2/2 + x/2 - 1/2.
-(x - 1)**2*(x + 1)/2
Factor -2*m**2/7 - 78*m/7 - 148/7.
-2*(m + 2)*(m + 37)/7
Suppose b**3/4 + 5*b**2/2 + 7*b + 6 = 0. Calculate b.
-6, -2
Factor -4*h**3 + 136*h**2 - 780*h + 648.
-4*(h - 27)*(h - 6)*(h - 1)
Factor -25*u**4 - 52*u**3 + 371*u**2 + 930*u + 72.
-(u - 4)*(u + 3)**2*(25*u + 2)
Suppose l**3/3 - 6*l**2 - l/3 + 6 = 0. What is l?
-1, 1, 18
Determine o, given that -3*o**3/8 - 93*o**2/2 + 3*o/8 + 93/2 = 0.
-124, -1, 1
Factor 3*v**4 + 63*v**3 + 354*v**2 + 180*v - 600.
3*(v - 1)*(v + 2)*(v + 10)**2
Factor -2*l**3/3 + 16*l**2/3 + 8*l - 96.
-2*(l - 6)**2*(l + 4)/3
Suppose 9*d**5/2 - 7*d**4/2 - 29*d**3/2 + 39*d**2/2 - 4*d - 2 = 0. What is d?
-2, -2/9, 1
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