84*l**2 = 0. What is l?
-140, -3, 0
Let h**5/2 + 11*h**4/6 + 7*h**3/3 + h**2 - h/6 - 1/6 = 0. Calculate h.
-1, 1/3
Factor -2*n**4/7 + 146*n**3/7 - 286*n**2/7 + 142*n/7.
-2*n*(n - 71)*(n - 1)**2/7
Factor f**3/4 - 1725*f**2/2 + 743043*f + 1489538.
(f - 1726)**2*(f + 2)/4
Factor -4*t**2 - 28*t - 48.
-4*(t + 3)*(t + 4)
Determine i, given that -3*i**5/4 + 27*i**3/4 - 3*i**2 - 9*i = 0.
-3, -1, 0, 2
Factor -n**5/5 + 2*n**4/5 - n**3/5.
-n**3*(n - 1)**2/5
Factor -49*q**3/5 + 749*q**2/5 - 211*q/5 + 3.
-(q - 15)*(7*q - 1)**2/5
What is n in 2*n**3/9 - 58*n**2/3 + 528*n - 4320 = 0?
15, 36
Let 12*x**2 - 56*x - 20 = 0. Calculate x.
-1/3, 5
What is g in -3*g**2/2 + 141*g/2 + 147 = 0?
-2, 49
Suppose 45*s**4 + 233*s**3 - 234*s**2 - 68*s + 24 = 0. What is s?
-6, -2/5, 2/9, 1
Let 2*d**5/7 - 18*d**4/7 + 54*d**3/7 - 46*d**2/7 - 48*d/7 + 72/7 = 0. What is d?
-1, 2, 3
Solve 3*h**4/2 - 3*h**3 - 3*h**2/2 + 3*h = 0 for h.
-1, 0, 1, 2
Let -2*g**4 - 12*g**3 - 24*g**2 - 20*g - 6 = 0. Calculate g.
-3, -1
Factor -2*d**4/7 + 114*d**2/7 - 16*d.
-2*d*(d - 7)*(d - 1)*(d + 8)/7
Determine k so that -k**3/4 + 11*k**2/4 + 14*k + 15 = 0.
-2, 15
Factor -2*a**3 - 200*a**2 + 2182*a - 1980.
-2*(a - 9)*(a - 1)*(a + 110)
Factor -c**4 + 69*c**3 - 390*c**2 + 764*c - 504.
-(c - 63)*(c - 2)**3
Solve -4*a**4 - 2248*a**3 + 4508*a**2 - 2256*a = 0.
-564, 0, 1
Let 5*v**3 + 520*v**2 = 0. What is v?
-104, 0
Find f such that -f**3 + 35*f**2 + 152*f + 156 = 0.
-2, 39
Solve -2*d**2/11 + 216*d/11 - 1960/11 = 0.
10, 98
Factor 2*h**3/3 + 52*h**2/3 + 218*h/3 + 56.
2*(h + 1)*(h + 4)*(h + 21)/3
Determine i so that -4*i**3 - 124*i**2 - 1216*i - 3840 = 0.
-15, -8
Let -4*x**4 + 2272*x**3 - 320344*x**2 - 647520*x - 324900 = 0. What is x?
-1, 285
Solve -12*g**5 + 676*g**4 - 8508*g**3 - 26004*g**2 - 23720*g - 6912 = 0.
-1, -2/3, 27, 32
Factor -3*i**3 - 90*i**2 - 609*i + 702.
-3*(i - 1)*(i + 13)*(i + 18)
Let 2*r**5/9 - 16*r**4/9 - 110*r**3/9 + 148*r**2/9 + 80*r/3 = 0. Calculate r.
-5, -1, 0, 2, 12
Factor -g**3 - 8*g**2 + g + 8.
-(g - 1)*(g + 1)*(g + 8)
Suppose -u**4/3 + 4*u**3/3 - 2*u**2 + 4*u/3 - 1/3 = 0. Calculate u.
1
Let -c**3 + 109*c**2 - 3127*c + 8427 = 0. What is c?
3, 53
Suppose -5*q**3/4 - 95*q**2/2 - 400*q + 1000 = 0. What is q?
-20, 2
What is s in -5*s**3 - 175*s**2 - 2035*s - 7865 = 0?
-13, -11
Factor -c**2/2 - 23*c.
-c*(c + 46)/2
Factor 3*r**2 + 1005*r - 1008.
3*(r - 1)*(r + 336)
Suppose -2*j**2 + 118*j + 1072 = 0. What is j?
-8, 67
Solve -12*a**5/5 - 20*a**4 + 828*a**3/5 + 1284*a**2/5 - 256*a/5 - 624/5 = 0 for a.
-13, -1, 2/3, 6
Solve 2*b**3/7 + 174*b**2/7 + 3510*b/7 + 20618/7 = 0.
-61, -13
Factor -50*n**2 - 73840*n - 27261728.
-2*(5*n + 3692)**2
Solve -7*o**5 + 9*o**4 + 117*o**3 + 71*o**2 - 30*o = 0 for o.
-3, -1, 0, 2/7, 5
Determine s, given that s**3/2 - 4*s**2 + 10*s - 8 = 0.
2, 4
Factor -55*c**2 + 30*c.
-5*c*(11*c - 6)
Determine f so that -4*f**3 - 84*f**2 = 0.
-21, 0
Factor f**3/4 + 357*f**2/2 + 42483*f + 3370318.
(f + 238)**3/4
Factor 26*y**2/7 + 438*y/7 - 68/7.
2*(y + 17)*(13*y - 2)/7
What is q in 50*q**5/7 + 190*q**4/7 + 228*q**3/7 + 104*q**2/7 + 16*q/7 = 0?
-2, -1, -2/5, 0
Factor -2*q**2/7 + 44*q/7 + 9006/7.
-2*(q - 79)*(q + 57)/7
Factor -2*s**2/3 - 70*s.
-2*s*(s + 105)/3
What is r in 4*r**4 + 116*r**3 - 400*r**2 - 512*r = 0?
-32, -1, 0, 4
Determine q, given that q**3/2 + 405*q**2/2 + 54675*q/2 + 2460375/2 = 0.
-135
Let 2*g**5/13 + 8*g**4/13 - 42*g**3/13 - 128*g**2/13 + 160*g/13 = 0. Calculate g.
-5, -4, 0, 1, 4
Solve -j**5/5 - 63*j**4 - 6486*j**3 - 204370*j**2 + 1408227*j - 11025387/5 = 0.
-107, 3
Factor -u**4/3 + u**3/3 + 22*u**2/3 - 40*u/3.
-u*(u - 4)*(u - 2)*(u + 5)/3
Suppose 10*y**3 + 136*y**2 + 424*y - 192 = 0. What is y?
-8, -6, 2/5
Find q, given that 3*q**3 - 78*q**2 - 168*q = 0.
-2, 0, 28
Factor 5*a**4 - 45*a**3 - 60*a**2 + 460*a + 720.
5*(a - 9)*(a - 4)*(a + 2)**2
Factor -9*a**3 + 570*a**2 - 748*a + 248.
-(a - 62)*(3*a - 2)**2
Find q such that q**5/8 + 21*q**4/8 - 23*q**3/8 - 21*q**2/8 + 11*q/4 = 0.
-22, -1, 0, 1
Factor 2*u**4/7 + 68*u**3/7 + 642*u**2/7 + 1088*u/7 + 512/7.
2*(u + 1)**2*(u + 16)**2/7
Solve -2*t**3/7 + 44*t**2/7 - 58*t/7 - 152 = 0 for t.
-4, 7, 19
Suppose u**2 + 175*u - 354 = 0. Calculate u.
-177, 2
Determine a, given that a**4 + 355*a**3 + 42126*a**2 + 1684804*a + 1643032 = 0.
-118, -1
Factor 98*v**4 + 840*v**3 + 1632*v**2 + 736*v + 96.
2*(v + 2)*(v + 6)*(7*v + 2)**2
Solve 3*v**5 - 204*v**4 + 2451*v**3 - 10134*v**2 + 13716*v - 5832 = 0.
1, 6, 54
Factor -x**3/2 + 103*x**2 - 5406*x + 10404.
-(x - 102)**2*(x - 2)/2
Determine z, given that z**2 + 21*z - 22 = 0.
-22, 1
Determine h, given that h**4/10 - h**3/10 - h**2/10 + h/10 = 0.
-1, 0, 1
Suppose -2*k**2/11 + 12*k/11 = 0. What is k?
0, 6
What is s in -2*s**2/15 + 1492*s/15 = 0?
0, 746
Factor -d**4 + 39*d**3 + d**2 - 39*d.
-d*(d - 39)*(d - 1)*(d + 1)
What is a in 2*a**2/11 + 56*a/11 - 30 = 0?
-33, 5
Let -9*g**4 + 33*g**3 + 93*g**2 + 51*g = 0. Calculate g.
-1, 0, 17/3
Factor 2*a**2/3 - 34*a/3 + 28.
2*(a - 14)*(a - 3)/3
What is h in 4*h**2 - 1288*h + 1284 = 0?
1, 321
Factor a**2 + 18*a + 81.
(a + 9)**2
Determine i so that 6*i**3 - 20*i**2 + 18*i - 4 = 0.
1/3, 1, 2
Solve 3*g**2 - 45*g/2 + 27 = 0.
3/2, 6
Determine p so that -2*p**3 - 68*p**2/5 + 296*p/5 - 48 = 0.
-10, 6/5, 2
Find u, given that -u**3/4 - 28*u**2 - 884*u - 5408 = 0.
-52, -8
Factor 4*u**3 - 308*u**2 + 5772*u + 6084.
4*(u - 39)**2*(u + 1)
What is o in -5*o**2 + 40*o + 45 = 0?
-1, 9
Factor -4*m**5 + 60*m**4 + 64*m**3.
-4*m**3*(m - 16)*(m + 1)
Determine o so that -o**5 - o**4 + 2*o**3 + 2*o**2 - o - 1 = 0.
-1, 1
Factor -2*i**3/7 + 40*i**2/7 - 34*i/7 - 76/7.
-2*(i - 19)*(i - 2)*(i + 1)/7
Solve -3*l**4 - 6*l**3 - 3*l**2 = 0 for l.
-1, 0
Factor -474*p**3/11 + 940*p**2/11 + 16*p/11.
-2*p*(p - 2)*(237*p + 4)/11
Solve -g**5 - 22*g**4 + 48*g**3 - 2*g**2 - 47*g + 24 = 0.
-24, -1, 1
Let 4*w**2/7 - 444*w/7 + 776 = 0. Calculate w.
14, 97
Factor 15*l**4 - 853*l**3 + 16131*l**2 - 100719*l - 13718.
(l - 19)**3*(15*l + 2)
Factor -l**4/2 + 9*l**3/2 + 20*l**2 - 24*l.
-l*(l - 12)*(l - 1)*(l + 4)/2
Factor -2*k**4 + 16*k**3 - 10*k**2 - 28*k.
-2*k*(k - 7)*(k - 2)*(k + 1)
Factor 5*a**3 - 741*a**2 + 4419*a/5 - 1323/5.
(a - 147)*(5*a - 3)**2/5
Factor 3*n**2/2 - 45*n - 93/2.
3*(n - 31)*(n + 1)/2
Determine j, given that 2*j**3 + 24*j**2 + 18*j - 44 = 0.
-11, -2, 1
Solve 5*n**4 + 1582*n**3 + 3777*n**2 + 2828*n + 628 = 0 for n.
-314, -1, -2/5
Determine c, given that -c**3/6 + 11*c**2/2 - 31*c/3 = 0.
0, 2, 31
Factor 3*u**3 + 63*u**2 - 291*u + 225.
3*(u - 3)*(u - 1)*(u + 25)
Factor 3*p**3 + 972*p**2 + 2895*p + 1926.
3*(p + 1)*(p + 2)*(p + 321)
Suppose -g**4/3 - 5*g**3/3 + 28*g**2 = 0. Calculate g.
-12, 0, 7
Factor -g**2 + 53*g - 282.
-(g - 47)*(g - 6)
Let 4*t**5 + 4*t**4 - 8*t**3 - 8*t**2 + 4*t + 4 = 0. What is t?
-1, 1
Solve -2*x**5 - 10*x**4 - 12*x**3 + 8*x**2 + 16*x = 0 for x.
-2, 0, 1
Factor -2*p**4/5 - 26*p**3 + 402*p**2/5 - 406*p/5 + 136/5.
-2*(p - 1)**3*(p + 68)/5
Factor -c**2 + 47*c + 48.
-(c - 48)*(c + 1)
Factor -5*h**3 - 15*h**2 + 305*h + 315.
-5*(h - 7)*(h + 1)*(h + 9)
Determine v so that -v**2 + 12*v + 13 = 0.
-1, 13
Factor 5*p**2/6 - 565*p/2 + 1685/3.
5*(p - 337)*(p - 2)/6
Factor -25*d**2/6 + 1270*d - 96774.
-(5*d - 762)**2/6
Factor -37*m**2 + 103*m + 24.
-(m - 3)*(37*m + 8)
Solve -6*u**4/5 - 118*u**3/5 - 598*u**2/5 - 210*u - 468/5 = 0 for u.
-13, -3, -2/3
Determine p, given that 14*p**5/15 - 52*p**4/15 - 86*p**3/15 - 4*p**2/3 = 0.
-1, -2/7, 0, 5
Solve -w**5/3 - 8*w**4/3 + 19*w**3 - 100*w**2/3 + 52*w/3 = 0.
-13, 0, 1, 2
Factor p**2/3 + 6*p + 17/3.
(p + 1)*(p + 17)/3
Factor -4*o**4/3 - 12*o**3 - 32*o**2 - 64*o/3.
-4*o*(o + 1)*(o + 4)**2/3
Suppose -5*u**3/6 - 55*u**2/6 + 305*u/6 + 2275/6 = 0. Calculate u.
-13, -5, 7
Suppose -5*u**2 - 100*u - 500 = 0. What is u?
-10
Suppose 2*l**5 + 34*l**4/5 - 38*l**3/5 - 10*l**2 + 28*l/5 + 16/5 = 0. Calculate l.
-4, -1, -2/5, 1
What is f in -5*f**5/3 - 4*f**4 + 14*f**3 + 100*f**2/3 + 17*f = 0?
-17/5, -1, 0, 3
Factor -k**5/6 + k**4 + 5*k**3/2 + 4*k**2/3.
-k**2*(k - 8)*(k + 1)**2/6
Suppose -4*f**4 - 16*f**3 + 4*f**2 + 16*f = 0. Calculate f.
-4, -1, 0, 1
Factor -2*o**2/9 - 22*o/9 + 8/3.
-2*(o - 1)*(o + 12)/9
Suppose -g**3/4 - 15*g**2/2 + 72*g - 152 = 0. What is g?
-38, 4
Solve 5*s**3 + 290*s**2 = 0.
-58, 0
Factor -g**4/3 - g**3 + 3*g**2 + 23*g/3 