Suppose 49*s**5/8 + 1001*s**4/8 - 2789*s**3/8 + 2471*s**2/8 - 103*s + 23/2 = 0. Calculate s.
-23, 2/7, 1
Factor 2*d**3/5 - 18*d**2 + 1134*d/5 - 4374/5.
2*(d - 27)*(d - 9)**2/5
Suppose 5*j**4/6 - 21*j**3 + 155*j**2/2 - 254*j/3 + 14 = 0. Calculate j.
1/5, 2, 21
Factor -3*p**2 - 9954*p - 8256843.
-3*(p + 1659)**2
Factor 4*j**3 + 340*j**2 + 8988*j + 75852.
4*(j + 21)**2*(j + 43)
Factor -4*s**3/3 - 47*s**2/3 + 4*s.
-s*(s + 12)*(4*s - 1)/3
Factor -3*v**2 - 1104*v - 101568.
-3*(v + 184)**2
Let 2*g**3/5 - 72*g**2/5 - 2*g/5 + 72/5 = 0. Calculate g.
-1, 1, 36
Factor -45*x**4 + 795*x**3 - 515*x**2 + 85*x.
-5*x*(x - 17)*(3*x - 1)**2
Factor 12*j**3 - 75*j**2 + 114*j - 24.
3*(j - 4)*(j - 2)*(4*j - 1)
What is s in s**2/7 + 8196*s/7 + 16793604/7 = 0?
-4098
Let -2*t**4/7 + 50*t**3/7 + 52*t**2/7 = 0. What is t?
-1, 0, 26
Determine q so that q**5/5 - 2*q**4/5 - q**3 + 2*q**2 + 4*q/5 - 8/5 = 0.
-2, -1, 1, 2
Solve -4*u**4 + 96*u**3 + 312*u**2 + 320*u + 108 = 0 for u.
-1, 27
Factor 2026285805*o**2 + 402620*o + 20.
5*(20131*o + 2)**2
What is h in -9*h**4/2 - 3*h**3/2 + 19*h**2 + 6*h - 4 = 0?
-2, -2/3, 1/3, 2
Factor -5*k**4 - 35*k**3 - 90*k**2 - 100*k - 40.
-5*(k + 1)*(k + 2)**3
What is n in 5*n**5 + 45*n**4 + 70*n**3 - 10*n**2 - 75*n - 35 = 0?
-7, -1, 1
Determine u so that 4*u**2 + 28*u - 120 = 0.
-10, 3
Suppose -3*a**3/2 - 210*a**2 + 5967*a/2 = 0. What is a?
-153, 0, 13
Factor -4*c**3/7 - 552*c**2/7 + 3436*c/7 - 2880/7.
-4*(c - 5)*(c - 1)*(c + 144)/7
Factor 5*q**4 - 45*q**3 + 70*q**2.
5*q**2*(q - 7)*(q - 2)
What is j in -5*j**2 - 260*j - 255 = 0?
-51, -1
What is w in -15*w**5 + 40*w**4 - 30*w**3 + 5*w = 0?
-1/3, 0, 1
Factor 4*s**3 + 40*s**2 + 36*s.
4*s*(s + 1)*(s + 9)
What is i in -14*i**5/5 + 2*i**4 + 144*i**3/5 - 16*i**2/5 - 352*i/5 - 96/5 = 0?
-2, -2/7, 2, 3
Factor -p**2 + 814*p + 1632.
-(p - 816)*(p + 2)
Factor -3*n**2 + 183*n - 180.
-3*(n - 60)*(n - 1)
What is g in 2*g**4/7 + 342*g**3/7 = 0?
-171, 0
Factor -y**2/2 + 16*y - 207/2.
-(y - 23)*(y - 9)/2
Determine x, given that -x**2/2 + x + 112 = 0.
-14, 16
Solve -2*w**4 - 1882*w**3 - 589692*w**2 - 61326712*w + 61918288 = 0.
-314, 1
Let 2567*y**5/2 + 5133*y**4 + 7697*y**3 + 5128*y**2 + 2559*y/2 - 1 = 0. Calculate y.
-1, 2/2567
Suppose h**2/3 - 10*h/3 + 3 = 0. Calculate h.
1, 9
Factor 27*x**3 + 2*x**2 - 27*x - 2.
(x - 1)*(x + 1)*(27*x + 2)
Determine n, given that n**3/5 - 12*n**2/5 - n/5 + 12/5 = 0.
-1, 1, 12
Solve -y**3/4 - y**2/2 + 89*y/4 + 45/2 = 0 for y.
-10, -1, 9
Factor -h**2 - 160*h - 6400.
-(h + 80)**2
Factor 4*k**4/3 + 1804*k**3/3.
4*k**3*(k + 451)/3
Determine w, given that 3*w**5/2 - 3*w**4/2 - 72*w**3 + 264*w**2 - 192*w = 0.
-8, 0, 1, 4
Find l, given that 4*l**3/7 - 704*l**2/7 + 29520*l/7 + 129600/7 = 0.
-4, 90
Factor -n**2 + 2*n.
-n*(n - 2)
Let -d**2/6 - 7*d/2 - 15 = 0. Calculate d.
-15, -6
Determine z so that z**5/3 + 7*z**4/3 - 19*z**3/3 - 7*z**2/3 + 6*z = 0.
-9, -1, 0, 1, 2
Solve 5*h**3/3 - 10*h**2 - 95*h/3 + 40 = 0 for h.
-3, 1, 8
Suppose -z**4 + 6*z**3 + 36*z**2 - 216*z = 0. Calculate z.
-6, 0, 6
Determine t, given that -t**5/6 - t**4/3 + 47*t**3/6 + 58*t**2/3 - 280*t/3 - 800/3 = 0.
-4, 5
Factor 3*k**3 - 99*k**2 + 1008*k - 2940.
3*(k - 14)**2*(k - 5)
Suppose 84*b**4 - 74*b**3 - 72*b**2 + 74*b - 12 = 0. Calculate b.
-1, 3/14, 2/3, 1
Find n such that -n**3/2 - 9*n**2/2 + 20*n + 24 = 0.
-12, -1, 4
Let 9*f**5 - 897*f**4 + 21250*f**3 + 56358*f**2 - 44523*f + 7803 = 0. Calculate f.
-3, 1/3, 51
Factor 3*k**2/7 + 2808*k/7 + 657072/7.
3*(k + 468)**2/7
Factor 2*z**4/3 - 34*z**3/3 + 184*z**2/3 - 392*z/3 + 96.
2*(z - 9)*(z - 4)*(z - 2)**2/3
What is i in 2*i**2/17 + 70*i/17 + 132/17 = 0?
-33, -2
Factor -3*l**2 + 462*l - 459.
-3*(l - 153)*(l - 1)
Factor 5*q**4 + 105*q**3 + 225*q**2 - 785*q + 450.
5*(q - 1)**2*(q + 5)*(q + 18)
Factor -3*i**3 + 15*i**2 + 42*i.
-3*i*(i - 7)*(i + 2)
Factor p**4/7 + 2*p**3/7 - 3*p**2/7 - 4*p/7 + 4/7.
(p - 1)**2*(p + 2)**2/7
What is z in 2*z**4/3 + 134*z**3/3 - 736*z**2/3 - 376*z + 576 = 0?
-72, -2, 1, 6
Let -3*r**4 + 9*r**3 + 9*r**2 - 33*r + 18 = 0. What is r?
-2, 1, 3
Let -4*n**2 + 16*n + 48 = 0. Calculate n.
-2, 6
Determine d so that -10*d**3/13 - 302*d**2/13 - 60*d/13 = 0.
-30, -1/5, 0
Suppose -2*o**3 + 40*o**2 - 200*o = 0. What is o?
0, 10
Factor 5*d**2 + 110*d + 480.
5*(d + 6)*(d + 16)
Factor 4*q**2 + 56*q + 52.
4*(q + 1)*(q + 13)
Factor -3*q**3 - 18*q**2 - 24*q.
-3*q*(q + 2)*(q + 4)
Let -u**3 - 9*u**2 + 21*u - 11 = 0. Calculate u.
-11, 1
Solve 16*n**2/3 + 56*n/3 - 5 = 0.
-15/4, 1/4
Factor -4*k**3 - 20*k**2 - 32*k - 16.
-4*(k + 1)*(k + 2)**2
Factor 3*u**4 - 24*u**3 - 30*u**2 + 24*u + 27.
3*(u - 9)*(u - 1)*(u + 1)**2
Find q, given that -4*q**3 + 12*q**2 + 4*q - 12 = 0.
-1, 1, 3
Factor 5*l**3 + 935*l**2 + 32240*l - 1135680.
5*(l - 21)*(l + 104)**2
Factor -13*a**3/4 - 35*a**2/4 - 7*a/2 + 2.
-(a + 1)*(a + 2)*(13*a - 4)/4
Factor -6*b**4 + 14*b**3 + 86*b**2 - 30*b.
-2*b*(b - 5)*(b + 3)*(3*b - 1)
Factor c**4 - 5*c**3 - 48*c**2 + 220*c - 224.
(c - 8)*(c - 2)**2*(c + 7)
Let -7*m**3 - 17*m**2 - 6*m = 0. What is m?
-2, -3/7, 0
Solve o**3/5 + 14*o**2/5 + 44*o/5 + 8 = 0.
-10, -2
What is p in -3*p**2/4 + 81*p/2 - 2187/4 = 0?
27
Suppose 2*g**3 - 6756*g**2 + 5705442*g = 0. Calculate g.
0, 1689
Factor 2*h**2/7 + 132*h/7 + 1296/7.
2*(h + 12)*(h + 54)/7
Find k such that -k**5/5 - 31*k**4/5 - 37*k**3 - 85*k**2 - 414*k/5 - 144/5 = 0.
-24, -3, -2, -1
Solve o**2 + 4*o - 21 = 0 for o.
-7, 3
What is q in 4*q**3/7 - 92*q**2/7 - 4*q/7 + 92/7 = 0?
-1, 1, 23
Factor -4*o**4 + 856*o**3 - 61344*o**2 + 1492136*o - 1431644.
-4*(o - 71)**3*(o - 1)
Suppose -3*z**3 + 87*z**2 - 429*z + 345 = 0. Calculate z.
1, 5, 23
Factor -4*r**3 + 140*r**2 - 512*r + 496.
-4*(r - 31)*(r - 2)**2
Factor s**3 + 39*s**2/4 + 45*s/2 - 25/4.
(s + 5)**2*(4*s - 1)/4
Solve -2*g**2/5 - 28*g/5 - 96/5 = 0.
-8, -6
Factor -9*q**3 + 38*q**2 - 8*q.
-q*(q - 4)*(9*q - 2)
Suppose t**5 - 2*t**4 - 7*t**3 - 4*t**2 = 0. What is t?
-1, 0, 4
Solve -4*v**5/5 - 16*v**4/5 + 84*v**3/5 - 16*v**2/5 - 112*v/5 = 0 for v.
-7, -1, 0, 2
Factor 4*k**2 - 32*k + 60.
4*(k - 5)*(k - 3)
Determine f so that 75*f**4 + 1020*f**3 + 2241*f**2 + 1068*f + 132 = 0.
-11, -2, -2/5, -1/5
Solve 14*s**5 - 136*s**4 - 54*s**3 + 136*s**2 + 40*s = 0 for s.
-1, -2/7, 0, 1, 10
Let -252*n**5 - 916*n**4 - 396*n**3 + 244*n**2 - 24*n = 0. Calculate n.
-3, -1, 0, 1/7, 2/9
Determine a so that 3*a**2 - 21*a - 132 = 0.
-4, 11
Determine w, given that -2*w**4 - 82*w**3 + 260*w**2 - 176*w = 0.
-44, 0, 1, 2
Factor 3*w**3/4 + 1053*w**2/2 - 4233*w/4 - 1584.
3*(w - 3)*(w + 1)*(w + 704)/4
Factor -k**2 - 31*k - 130.
-(k + 5)*(k + 26)
Factor -5*a**4 - 270*a**3 - 260*a**2 + 270*a + 265.
-5*(a - 1)*(a + 1)**2*(a + 53)
Factor -a**2/4 - 301*a/4 - 1029/2.
-(a + 7)*(a + 294)/4
Solve f**5/5 + 14*f**4/5 - 8*f**3/5 - 368*f**2/5 + 208*f - 160 = 0.
-10, 2
Factor -b**2 + 61*b - 550.
-(b - 50)*(b - 11)
Determine n, given that -4*n**4 + 2980*n**3 - 553532*n**2 - 556516*n = 0.
-1, 0, 373
Factor -k**2/4 - 4*k - 55/4.
-(k + 5)*(k + 11)/4
Factor 5*h**2 + 725*h + 6120.
5*(h + 9)*(h + 136)
Factor 2*x**4 + 76*x**3 + 280*x**2 + 272*x.
2*x*(x + 2)**2*(x + 34)
Let -2*q**3/13 + 44*q**2/13 - 242*q/13 = 0. Calculate q.
0, 11
Factor 3*g**4/4 - 21*g**2/4 + 9*g/2.
3*g*(g - 2)*(g - 1)*(g + 3)/4
What is n in 8*n**5 + 12*n**4 - 232*n**3 + 480*n**2 - 352*n + 84 = 0?
-7, 1/2, 1, 3
Suppose -20*p**5/3 + 340*p**4/3 - 1045*p**3/3 - 2080*p**2/3 + 900*p - 240 = 0. What is p?
-2, 1/2, 6, 12
Factor n**4/5 - 3*n**3/5 - 2*n**2 + 24*n/5.
n*(n - 4)*(n - 2)*(n + 3)/5
Suppose 4*x**2 + 680*x + 28900 = 0. What is x?
-85
Factor -p**5 + 23*p**4 - 179*p**3 + 553*p**2 - 720*p + 324.
-(p - 9)**2*(p - 2)**2*(p - 1)
Factor 2*b**3/19 + 80*b**2/19 - 166*b/19 + 84/19.
2*(b - 1)**2*(b + 42)/19
Solve 21*o**3/5 + 48*o**2/5 + 33*o/5 + 6/5 = 0 for o.
-1, -2/7
Determine l so that 2*l**3/7 - 18*l**2 - 2*l/7 + 18 = 0.
-1, 1, 63
Factor 4*m**2/7 - 8320*m/7 - 8324/7.
4*(m - 2081)*(m + 1)/7
Let -w**4 - 30*w**3 - 253*w**2 - 420*w - 196 = 0. Calculate w.
-14, -1
Determine o, given that 25*o**5/6 + 185*o**4/3 + 442*o**3/3 + 268*o**2/3 + 16*o = 0.
-12, -2, -2/5, 0
Let -2*u**4 - 8*u**3 + 12*u**2 + 8*u - 10 = 0. What is u?
-5, -1, 1
Factor -3*n**2 + 27360*n - 62380800.
-3*(n - 4560)**2
Solve i**4 + 60*i**3 + 768*i**2 - 4096*i = 0.
-32, 0, 4
Find q such that -3*q**4 - 24*q**3 + 21*q*