**2 - 1548*k.
-3*k*(k - 43)*(k - 12)*(k + 1)
What is j in -5*j**5 + 65*j**4 + 5*j**3 - 65*j**2 = 0?
-1, 0, 1, 13
Suppose -2*g**2/9 - 194*g/9 = 0. What is g?
-97, 0
Factor d**2/3 + 26*d/3 + 51.
(d + 9)*(d + 17)/3
Suppose -2*v**2/3 - 14*v + 48 = 0. What is v?
-24, 3
Factor 196*b**2 - 8*b.
4*b*(49*b - 2)
Determine n, given that n**5/4 - 5*n**4/2 + 2*n**3 + 5*n**2/2 - 9*n/4 = 0.
-1, 0, 1, 9
Suppose -2*n**4/7 + 36*n**3/7 + 6*n**2/7 - 104*n/7 - 72/7 = 0. What is n?
-1, 2, 18
What is k in 147*k**5 + 105*k**4 - 186*k**3 - 144*k**2 = 0?
-1, -6/7, 0, 8/7
Suppose -u**5 + 45*u**4 - 483*u**3 - 529*u**2 = 0. Calculate u.
-1, 0, 23
Factor -5*v**4 - 31*v**3 + 74*v**2 + 16*v.
-v*(v - 2)*(v + 8)*(5*v + 1)
Factor y**3/10 + 296*y**2/5 + 87021*y/10 - 88209/5.
(y - 2)*(y + 297)**2/10
Find m such that -2*m**3/5 - 84*m**2 - 3214*m/5 + 3636/5 = 0.
-202, -9, 1
Factor k**4/4 + 6*k**3 + 11*k**2.
k**2*(k + 2)*(k + 22)/4
Determine f so that f**3 + 6*f**2 + 3*f - 10 = 0.
-5, -2, 1
Let 4*n**4/7 - 72*n**3/7 - 244*n**2/7 - 24*n = 0. What is n?
-2, -1, 0, 21
Find x, given that 3*x**3 + 261*x**2 + 510*x = 0.
-85, -2, 0
Factor 2*d**3/11 - 78*d**2/11 + 630*d/11 + 2646/11.
2*(d - 21)**2*(d + 3)/11
What is t in -2*t**3/5 + 16*t**2/5 - 26*t/5 + 12/5 = 0?
1, 6
Find f, given that -f**2/7 + 1254*f/7 + 1255/7 = 0.
-1, 1255
Suppose -2*j**3/11 - 4*j**2/11 + 48*j/11 = 0. Calculate j.
-6, 0, 4
Determine i, given that 6*i**3/11 - 70*i**2/11 - 1036*i/11 + 720/11 = 0.
-9, 2/3, 20
Let 4*c**2/5 - 12*c - 136/5 = 0. Calculate c.
-2, 17
Let 2*l**4/3 - 52*l**3/3 + 128*l**2/3 + 1024*l = 0. Calculate l.
-6, 0, 16
Factor 3*a**2 + 81*a + 78.
3*(a + 1)*(a + 26)
Factor -4*d**3 + 60*d**2 - 2000.
-4*(d - 10)**2*(d + 5)
Solve 9*x**5/2 + x**4 - 9*x**3/2 - x**2 = 0 for x.
-1, -2/9, 0, 1
Factor -4*f**4 + 16*f**3 + 284*f**2 + 264*f.
-4*f*(f - 11)*(f + 1)*(f + 6)
Factor w**3 + 983*w**2 - 1969*w + 985.
(w - 1)**2*(w + 985)
Find b such that 2*b**2/3 + 14*b + 76/3 = 0.
-19, -2
Suppose -5*t**3 + 45*t**2 - 75*t + 35 = 0. Calculate t.
1, 7
Let f**2/5 + 26*f/5 = 0. Calculate f.
-26, 0
Factor h**4/6 + 29*h**3/6 - 64*h**2/3 + 22*h.
h*(h - 2)**2*(h + 33)/6
Let 9*l**5 - 114*l**4 + 243*l**3 - 6*l**2 - 252*l + 120 = 0. Calculate l.
-1, 2/3, 1, 2, 10
Suppose 10*j**4/3 - 112*j**3/3 + 422*j**2/3 - 560*j/3 + 32 = 0. What is j?
1/5, 3, 4
Factor -u**4 - 60*u**3 - 171*u**2.
-u**2*(u + 3)*(u + 57)
Factor -n**4/2 - 5*n**3 - 37*n**2/2 - 30*n - 18.
-(n + 2)**2*(n + 3)**2/2
What is m in -4*m**3 - 64*m**2 - 284*m - 224 = 0?
-8, -7, -1
Find s such that 5*s**5 + 20*s**4 + 20*s**3 = 0.
-2, 0
Suppose q**3 + 7*q**2 - 192*q + 684 = 0. Calculate q.
-19, 6
What is u in 5*u**2 - 2585*u + 5150 = 0?
2, 515
Find o, given that 2*o**3 - 12*o**2 - 72*o - 80 = 0.
-2, 10
Find o such that -3*o**3 - 234*o**2 = 0.
-78, 0
Let 5*g**5 - 20*g**3 + 10*g**2 + 15*g - 10 = 0. What is g?
-2, -1, 1
Solve 2*b**3/11 - 26*b**2/11 - 658*b/11 - 2646/11 = 0 for b.
-7, 27
Factor -y**5/4 - 169*y**4/2 - 9576*y**3 - 370048*y**2 - 702464*y.
-y*(y + 2)*(y + 112)**3/4
Let -n**3 - 49*n**2 = 0. What is n?
-49, 0
Suppose 2*s**2/11 - 1920*s/11 = 0. What is s?
0, 960
Solve -3*r**2/8 + 39*r/4 - 75/8 = 0.
1, 25
Solve -24*u**4/5 + 459*u**3/5 - 33*u**2/5 - 459*u/5 + 57/5 = 0.
-1, 1/8, 1, 19
Solve -3*x**2 - 438*x - 15987 = 0.
-73
Find j such that 297*j**4/4 - 27*j**3/4 - 357*j**2/4 + 3*j/4 + 9 = 0.
-1, -1/3, 1/3, 12/11
What is i in -3*i**3 + 123*i**2 + 3*i - 123 = 0?
-1, 1, 41
Suppose 2*u**4/9 - 4*u**3/3 - 22*u**2/9 + 40*u/3 + 200/9 = 0. Calculate u.
-2, 5
Let x**4/3 + 107*x**3/3 + 2915*x**2/3 + 2809*x/3 = 0. What is x?
-53, -1, 0
Determine q so that -2*q**3/3 - 4*q**2 - 8*q - 16/3 = 0.
-2
What is x in 98*x**5 + 448*x**4 + 722*x**3 + 508*x**2 + 152*x + 16 = 0?
-2, -1, -2/7
Factor 3*n**3 + 3693*n**2 + 1134672*n - 1138368.
3*(n - 1)*(n + 616)**2
Factor 2*c**3/5 - 336*c**2/5 + 18816*c/5 - 351232/5.
2*(c - 56)**3/5
Determine m, given that m**3 + 16*m**2 - 176*m + 384 = 0.
-24, 4
Suppose 3*c**3/2 + 27*c**2/2 + 30*c + 18 = 0. What is c?
-6, -2, -1
Factor -2*o**2/11 - 60*o/11 - 112/11.
-2*(o + 2)*(o + 28)/11
Find h such that -2*h**5 + 18*h**4 - 58*h**3 + 78*h**2 - 36*h = 0.
0, 1, 2, 3
Factor -237*j**2/5 + 18*j/5.
-3*j*(79*j - 6)/5
Determine v so that 2*v**5 - 6*v**4 - 46*v**3 + 54*v**2 + 44*v - 48 = 0.
-4, -1, 1, 6
Factor -10*r**2/7 + 4*r/7.
-2*r*(5*r - 2)/7
Factor -2*r**2/3 - 66*r.
-2*r*(r + 99)/3
Factor -4*q**2 - 3452*q + 3456.
-4*(q - 1)*(q + 864)
Find h such that 3*h**2/2 - 46*h - 31/2 = 0.
-1/3, 31
Let -3*y**3/5 + 4552*y**2/5 - 1213*y + 1516/5 = 0. What is y?
1/3, 1, 1516
Factor -5*o**3 + 150*o**2 - 645*o + 500.
-5*(o - 25)*(o - 4)*(o - 1)
Determine p, given that p**2/6 - 110*p/3 + 6050/3 = 0.
110
What is b in 2*b**4/9 - 2*b**3/9 - 4*b**2/9 = 0?
-1, 0, 2
What is a in -6*a**5/7 + 124*a**4/7 - 674*a**3/7 + 276*a**2/7 + 680*a/7 - 400/7 = 0?
-1, 2/3, 1, 10
Let -7*n**5/2 + 71*n**4 + 429*n**3/2 + 94*n**2 - 46*n = 0. What is n?
-2, -1, 0, 2/7, 23
Factor -u**4/7 - 5*u**3/7 + 3*u**2/7 + 13*u/7 - 10/7.
-(u - 1)**2*(u + 2)*(u + 5)/7
Solve 2*s**2/15 + 76*s/15 - 32/3 = 0.
-40, 2
Solve -48*m**5 - 10*m**4 + 82*m**3 + 6*m**2 - 34*m + 4 = 0 for m.
-1, 1/8, 2/3, 1
Determine p, given that 3*p**5/5 + 144*p**4/5 + 2304*p**3/5 + 12288*p**2/5 = 0.
-16, 0
Factor g**3 - 42*g**2 + 191*g - 222.
(g - 37)*(g - 3)*(g - 2)
Suppose 5*o**3 + 40*o**2 - 45*o = 0. Calculate o.
-9, 0, 1
Determine l so that -841*l**2 + 28188*l - 236196 = 0.
486/29
Factor -5*p**3/2 - 25*p**2/2 + 65*p/2 - 35/2.
-5*(p - 1)**2*(p + 7)/2
Solve -3*v**4 - 411*v**3 - 4608*v**2 - 13500*v = 0 for v.
-125, -6, 0
Let -18*t**2 + 129*t - 126 = 0. What is t?
7/6, 6
Factor r**4/5 - 1723*r**3/5 + 198030*r**2 - 190107652*r/5 + 189119224/5.
(r - 574)**3*(r - 1)/5
Solve -t**4/5 - 284*t**3/5 - 20723*t**2/5 - 15848*t - 11760 = 0 for t.
-140, -3, -1
Factor -4*r**5 + 8*r**4 + 8*r**3 - 32*r**2 + 28*r - 8.
-4*(r - 1)**4*(r + 2)
Find v, given that 2*v**2 + 762*v + 3760 = 0.
-376, -5
Suppose 36*b**5 - 312*b**4 + 448*b**3 - 200*b**2 + 28*b = 0. Calculate b.
0, 1/3, 1, 7
Solve -2*y**4 - 4*y**3 + 82*y**2 + 84*y = 0.
-7, -1, 0, 6
Factor i**4/6 - 7*i**3/3 + 13*i**2/6.
i**2*(i - 13)*(i - 1)/6
Determine s, given that 3*s**4/7 + 90*s**3/7 - 2916*s**2/7 + 15510*s/7 + 18513/7 = 0.
-51, -1, 11
Suppose -63*u**5/4 - 69*u**4/4 + 59*u**3/4 + 61*u**2/4 - 4*u - 3 = 0. Calculate u.
-1, -3/7, 2/3
Factor -3*m**2 + 24*m + 27.
-3*(m - 9)*(m + 1)
Suppose t**3/2 + 465*t**2/2 + 232*t = 0. Calculate t.
-464, -1, 0
Determine r, given that 3*r**4 - 36*r**3 + 135*r**2 - 150*r = 0.
0, 2, 5
Suppose -l**3/3 + 17*l**2 - 64*l + 188/3 = 0. Calculate l.
2, 47
Solve -r**2/2 - 30*r - 59/2 = 0 for r.
-59, -1
Determine n so that -n**4/2 - n**3/2 = 0.
-1, 0
Find k, given that 35*k**2 - 125*k - 60 = 0.
-3/7, 4
Factor -5*w**3/2 + 5*w**2/2 + 205*w - 700.
-5*(w - 7)*(w - 4)*(w + 10)/2
Factor -2*u**2/3 + 880*u/3 + 886.
-2*(u - 443)*(u + 3)/3
Determine p so that -2*p**2/7 + 58*p/7 - 276/7 = 0.
6, 23
Factor -2*l**3/5 - 4*l**2 - 64*l/5 - 64/5.
-2*(l + 2)*(l + 4)**2/5
Find t such that 2*t**2 - 300*t = 0.
0, 150
Factor -m**2/2 + 5*m/2 - 2.
-(m - 4)*(m - 1)/2
Determine h, given that 170*h**5/7 - 388*h**4/7 - 592*h**3/7 + 224*h**2 - 352*h/7 - 64/7 = 0.
-2, -2/17, 2/5, 2
Factor l**4 - 3647*l**3 + 3323326*l**2 + 3334272*l - 6653952.
(l - 1824)**2*(l - 1)*(l + 2)
Solve -n**3/4 - 2*n**2 + 45*n/4 - 9 = 0 for n.
-12, 1, 3
Let 25*s**3 + 330*s**2 - 655*s + 300 = 0. Calculate s.
-15, 4/5, 1
Determine h so that 6*h**2/7 + 1434*h/7 - 1440/7 = 0.
-240, 1
Factor 2*s**2/11 + 448*s/11 + 25088/11.
2*(s + 112)**2/11
Factor 129*q**4 + 141*q**3 + 12*q**2.
3*q**2*(q + 1)*(43*q + 4)
Factor 4*j**2/5 - 52*j/5 + 48/5.
4*(j - 12)*(j - 1)/5
What is y in 5*y**4 + 30*y**3 + 55*y**2 + 30*y = 0?
-3, -2, -1, 0
Factor -2*c**4/3 - 274*c**3/3 - 4140*c**2 - 181976*c/3 + 194672/3.
-2*(c - 1)*(c + 46)**3/3
Find a, given that -2*a**5/7 - 92*a**4/7 - 1142*a**3/7 - 1844*a**2/7 + 1144*a/7 + 1936/7 = 0.
-22, -2, -1, 1
What is h in 5*h**3 + 205*h**2 + 2775*h + 12375 = 0?
-15, -11
Determine s, given that -4*s**2/7 + 6012*s/7 + 6016/7 = 0.
-1, 1504
Factor -f**2/3 + 9*f + 124/3.
-(f - 31)*(f + 4)/3
Suppose -2*p**2/3 + 730*p/3 - 724 = 0. What is p?
3, 362
Find y such that -605*y**2 + 6600*y - 18000 = 0.
60/11
Factor m**3 - 45*m**2 + 600*m - 2000.
(m - 20)**2*(m - 5)
L