*(m + 79)
Factor a**4/3 - 50*a**3/3 - 52*a**2 - 158*a/3 - 53/3.
(a - 53)*(a + 1)**3/3
Factor -2*i**4/9 - 8*i**3/9 + 4*i**2 + 24*i + 30.
-2*(i - 5)*(i + 3)**3/9
Let 10*b**3/3 - 92*b**2/3 + 158*b/3 - 28/3 = 0. Calculate b.
1/5, 2, 7
Find r such that -3*r**3/2 - 1083*r**2 - 390963*r/2 = 0.
-361, 0
Suppose -6*y**5 - 15*y**4 - 6*y**3 + 12*y**2 + 12*y + 3 = 0. Calculate y.
-1, -1/2, 1
Solve 3*h**4 - 45*h**3 - 864*h**2 + 13056*h = 0 for h.
-17, 0, 16
Find j, given that 12*j**3 + 1740*j**2 - 1749*j + 438 = 0.
-146, 1/2
Suppose s**3 - 15*s**2 + 39*s + 55 = 0. What is s?
-1, 5, 11
Solve -4*y**2 - 84*y + 520 = 0 for y.
-26, 5
Factor -3*q**5/2 - 84*q**4 - 1617*q**3 - 12348*q**2 - 64827*q/2.
-3*q*(q + 7)**2*(q + 21)**2/2
Factor -5*m**4 + 5*m**3 + 30*m**2 - 20*m - 40.
-5*(m - 2)**2*(m + 1)*(m + 2)
Factor 3*p**3/4 - 9*p**2/2 + 27*p/4 - 3.
3*(p - 4)*(p - 1)**2/4
Suppose -2*o**3/3 - 88*o**2/3 - 1048*o/3 - 1760/3 = 0. What is o?
-22, -20, -2
Factor -2*k**3 - 14*k**2 + 170*k + 182.
-2*(k - 7)*(k + 1)*(k + 13)
Factor m**5 - 11*m**4 + 15*m**3 + 31*m**2 - 32*m - 36.
(m - 9)*(m - 2)**2*(m + 1)**2
Factor 10*h**3 + 788*h**2 - 158*h.
2*h*(h + 79)*(5*h - 1)
Solve -3*n**2/8 - 27*n/4 - 243/8 = 0 for n.
-9
Factor -n**4/2 + 6*n**3 + 13*n**2/2.
-n**2*(n - 13)*(n + 1)/2
Suppose -r**5/3 - 17*r**4/3 - 25*r**3 - 33*r**2 = 0. What is r?
-11, -3, 0
Solve -q**3/5 + 288*q**2/5 - 27648*q/5 + 884736/5 = 0.
96
Factor w**2/2 + 17*w/2 + 26.
(w + 4)*(w + 13)/2
Factor 3*j**2 - 21690*j + 39204675.
3*(j - 3615)**2
Determine g so that 5*g**3/2 + 43*g**2/4 - 19*g/2 - 15/4 = 0.
-5, -3/10, 1
Factor -c**2/5 - 65*c - 646/5.
-(c + 2)*(c + 323)/5
Factor 3*p**2 + 1047*p - 1050.
3*(p - 1)*(p + 350)
Factor -2*o**3/9 + 86*o**2/9 + 8*o/9 - 344/9.
-2*(o - 43)*(o - 2)*(o + 2)/9
Factor -4*m**3/9 - 236*m**2/3 - 156*m - 700/9.
-4*(m + 1)**2*(m + 175)/9
Let 2*x**4/9 + 14*x**3/9 - 38*x**2/3 - 910*x/9 - 784/9 = 0. What is x?
-7, -1, 8
Factor -y**2/4 - y/4 + 3/2.
-(y - 2)*(y + 3)/4
Suppose -16*d**4/5 + 4*d**3 + 344*d**2/5 + 624*d/5 + 288/5 = 0. What is d?
-2, -3/4, 6
Let i**4/6 - i**3/6 - i**2/6 + i/6 = 0. Calculate i.
-1, 0, 1
Factor -2*w**3/15 - 38*w**2 - 3610*w - 342950/3.
-2*(w + 95)**3/15
Factor -2*r**2 - 96*r + 200.
-2*(r - 2)*(r + 50)
Find a such that -5*a**2/4 + 35*a/2 - 50 = 0.
4, 10
Suppose -t**2/3 + 44*t/3 + 92/3 = 0. What is t?
-2, 46
Let -3*l**4 + 489*l**3/7 + 912*l**2/7 - 300*l/7 = 0. What is l?
-2, 0, 2/7, 25
Let -3*m**4 - 63*m**3 - 150*m**2 + 216*m = 0. Calculate m.
-18, -4, 0, 1
What is m in -5*m**4 + 540*m**3 - 12865*m**2 - 92910*m - 129960 = 0?
-4, -2, 57
Solve -12*b**5 - 2109*b**4 - 1572*b**3 + 525*b**2 = 0.
-175, -1, 0, 1/4
Factor -16*j**3 + 148*j**2 - 36*j.
-4*j*(j - 9)*(4*j - 1)
Determine s, given that -3*s**5/2 + 15*s**4/2 + 48*s**3 - 78*s**2 - 168*s + 192 = 0.
-4, -2, 1, 2, 8
Factor -4*z**5 + 4*z**4 + 8*z**3 - 8*z**2 - 4*z + 4.
-4*(z - 1)**3*(z + 1)**2
Let -2*d**4/3 - 10*d**3/3 + 40*d/3 + 32/3 = 0. Calculate d.
-4, -2, -1, 2
Factor 4*q**4 + 4*q**3 - 4*q**2 - 4*q.
4*q*(q - 1)*(q + 1)**2
What is c in 4*c**4 - 56*c**3 + 180*c**2 + 224*c - 784 = 0?
-2, 2, 7
Find m, given that m**3/2 + 13*m**2/2 + 11*m = 0.
-11, -2, 0
Determine k so that 5*k**4 - 130*k**3 - 420*k**2 + 33320*k - 219520 = 0.
-16, 14
Solve 5*z**4 - 495*z**3 + 2790*z**2 = 0.
0, 6, 93
Factor -26*u**2/11 + 1434*u/11 - 20.
-2*(u - 55)*(13*u - 2)/11
Factor 2*m**5 - 54*m**4 + 196*m**3 + 5040*m**2 - 39744*m + 34560.
2*(m - 12)**3*(m - 1)*(m + 10)
Factor -5*r**4 - 210*r**3 + 660*r**2 - 670*r + 225.
-5*(r - 1)**3*(r + 45)
Solve 2*c**4 - 386*c**3 + 19190*c**2 - 54150*c = 0 for c.
0, 3, 95
Find r, given that 31*r**2 + 963*r + 62 = 0.
-31, -2/31
Find g such that 2*g**3 - 124*g**2 + 1240*g - 2000 = 0.
2, 10, 50
Factor 2*n**3/23 + 4*n**2/23 - 14*n/23 + 8/23.
2*(n - 1)**2*(n + 4)/23
Factor 2*n**2/7 + 534*n/7 + 2104/7.
2*(n + 4)*(n + 263)/7
Let 3*v**3 + 744*v**2 = 0. What is v?
-248, 0
Factor 4*p**3 - 116*p**2 + 1036*p - 2940.
4*(p - 15)*(p - 7)**2
Factor -5*u**3 - 1055*u**2.
-5*u**2*(u + 211)
Solve j**2/3 - 5864*j/3 + 8596624/3 = 0.
2932
What is x in -4*x**3 + 84*x**2 + 576*x - 1456 = 0?
-7, 2, 26
Find i such that -2*i**2/3 + 5848*i - 12824664 = 0.
4386
Factor -11*n**3/6 + 13*n**2/6 - n/3.
-n*(n - 1)*(11*n - 2)/6
Find r such that 11*r**5/4 + 79*r**4/4 + 135*r**3/4 + 77*r**2/4 + 5*r/2 = 0.
-5, -1, -2/11, 0
Factor 6*v**2 + 82*v + 52.
2*(v + 13)*(3*v + 2)
Factor 2*n**3/5 - 52*n**2/5 + 10*n.
2*n*(n - 25)*(n - 1)/5
Let k**3/7 - 2*k**2/7 = 0. Calculate k.
0, 2
Factor 2*t**5/3 + 2*t**4/3 - 2*t**3/3 - 2*t**2/3.
2*t**2*(t - 1)*(t + 1)**2/3
Factor -3*m**2 + 402*m - 13467.
-3*(m - 67)**2
Factor -5*n**4 - 80*n**3 + 95*n**2 + 170*n.
-5*n*(n - 2)*(n + 1)*(n + 17)
Find g such that -2*g**2 - 12*g - 16 = 0.
-4, -2
Find w, given that 21*w**4 + 30*w**3 - 12*w**2 - 30*w - 9 = 0.
-1, -3/7, 1
Let i**2 + 28*i/3 + 3 = 0. Calculate i.
-9, -1/3
Factor 2*w**3 + 14*w**2 + 8*w - 24.
2*(w - 1)*(w + 2)*(w + 6)
Factor 6*n**2/5 + 1212*n/5 + 61206/5.
6*(n + 101)**2/5
What is x in -2*x**2 + 296*x - 584 = 0?
2, 146
Solve -5*b**2/2 + 775*b/2 - 765 = 0 for b.
2, 153
Factor 2*c**3/7 + 34*c**2/7.
2*c**2*(c + 17)/7
Suppose -10*h**3 - 85*h**2 + 50*h + 45 = 0. Calculate h.
-9, -1/2, 1
Factor -4*z**3/5 + 2592*z**2/5 + 1040*z.
-4*z*(z - 650)*(z + 2)/5
Find b, given that 2*b**5/5 + 22*b**4 + 1474*b**3/5 + 1442*b**2 + 11172*b/5 = 0.
-38, -7, -3, 0
Factor -4*m**2 - 56*m - 196.
-4*(m + 7)**2
Factor 5*t**2/2 + 75*t/2.
5*t*(t + 15)/2
Suppose v**4/5 + 5*v**3 - 54*v**2/5 = 0. Calculate v.
-27, 0, 2
Find r, given that 12*r**2 + 4404*r + 404067 = 0.
-367/2
Find c such that -4*c**4/5 - 77*c**3/5 - 152*c**2/5 + 23*c/5 + 102/5 = 0.
-17, -2, -1, 3/4
Solve -2*d**5/9 + 16*d**3/9 - 4*d**2/3 - 14*d/9 + 4/3 = 0 for d.
-3, -1, 1, 2
Factor 3*d**4 - 480*d**3 + 21450*d**2 - 180000*d + 421875.
3*(d - 75)**2*(d - 5)**2
Factor t**3/4 - 13*t**2/2 + 105*t/4 + 225.
(t - 15)**2*(t + 4)/4
Solve -i**4/2 + 6*i**3 - 7*i**2/2 - 60*i - 50 = 0.
-2, -1, 5, 10
Factor b**4 + 12*b**3 - 13*b**2.
b**2*(b - 1)*(b + 13)
Factor 4*d**2/9 - 76*d/9 - 80/9.
4*(d - 20)*(d + 1)/9
Factor 2*s**2/17 - 50*s/17 + 228/17.
2*(s - 19)*(s - 6)/17
Factor -t**2/2 + 345*t - 688.
-(t - 688)*(t - 2)/2
Factor 7*i**4/2 + 6*i**3 + 3*i**2/2 - i.
i*(i + 1)**2*(7*i - 2)/2
Solve -c**3/2 + c**2/2 + 25*c/2 - 25/2 = 0 for c.
-5, 1, 5
Factor 5*l**4 - 20*l**3 - 25*l**2 + 180*l - 180.
5*(l - 3)*(l - 2)**2*(l + 3)
Factor -2*m**3/17 + 1352*m**2/17 - 232490*m/17 + 1346700/17.
-2*(m - 335)**2*(m - 6)/17
Factor 3*o**4 - 69*o**3 + 495*o**2 - 891*o - 1458.
3*(o - 9)**2*(o - 6)*(o + 1)
Suppose 4*o**4 - 732*o**3 + 44652*o**2 - 907924*o = 0. Calculate o.
0, 61
Suppose 48*d**4 - 23400*d**3 + 11692*d**2 - 17534*d/9 + 974/9 = 0. Calculate d.
1/6, 487
Let -2*q**5 + 20*q**4/3 - 6*q**3 + 4*q**2/3 = 0. What is q?
0, 1/3, 1, 2
Factor -f**3 + 134*f**2 + 831*f + 1260.
-(f - 140)*(f + 3)**2
Let v**2/4 + 79*v/2 + 78 = 0. What is v?
-156, -2
Let -640*i**3 - 400*i**2 - 80*i - 5 = 0. What is i?
-1/4, -1/8
Determine w, given that -5*w**3 + 125*w**2 - 715*w - 845 = 0.
-1, 13
Let -3*q**2 + 717*q + 4410 = 0. What is q?
-6, 245
Factor -p**2 - 1160*p - 336400.
-(p + 580)**2
Solve -n**4/6 - n**3/6 + 7*n**2/6 + n/6 - 1 = 0.
-3, -1, 1, 2
Let 15*s**5 + 96*s**4 + 171*s**3 + 54*s**2 = 0. Calculate s.
-3, -2/5, 0
Find s such that 2*s**2 + 56*s + 192 = 0.
-24, -4
Factor s**2/4 - 223*s/4 + 111/2.
(s - 222)*(s - 1)/4
Solve -6*f**5/7 + 33*f**4/7 - 57*f**3/7 + 39*f**2/7 - 9*f/7 = 0 for f.
0, 1/2, 1, 3
Factor v**2 + 58*v + 400.
(v + 8)*(v + 50)
Find k such that 9*k**4 - 30*k**3 - 81*k**2 + 30*k = 0.
-2, 0, 1/3, 5
Let -4*q**2/3 + 352*q - 23232 = 0. Calculate q.
132
Find g such that -5*g**5 + 10*g**3 - 5*g = 0.
-1, 0, 1
Let -4*n**4/3 + 16*n**3/3 + 4*n**2 - 56*n/3 + 32/3 = 0. Calculate n.
-2, 1, 4
Find p, given that 3*p**5/7 + 9*p**4/7 - 57*p**3/7 - 9*p**2/7 + 54*p/7 = 0.
-6, -1, 0, 1, 3
What is w in 2*w**5 - 4*w**4 - 24*w**3 + 76*w**2 - 74*w + 24 = 0?
-4, 1, 3
Let w**3/5 - 21*w**2/5 - 477*w/5 - 91 = 0. Calculate w.
-13, -1, 35
What is s in 10*s**3/9 - 68*s**2/3 + 74*s/9 + 40/3 = 0?
-3/5, 1, 20
Determine l, given that 2*l**5 - 78*l**4 + 288*l**3 + 10152*l**2 + 10368*l - 124416 = 0.
-6, 3, 24
Solve 2*r**4/15 - 2*r**2/15 = 0 for r.
-1, 0, 1
Factor 2*i**3 + 9320*i**2 + 10848474*i - 21734244.
2*(i - 2)*(i + 233