alculate l.
-2/3, 0, 2
Factor 6*z**4/5 - 28*z**3/3 + 256*z**2/15 + 64*z/15.
2*z*(z - 4)**2*(9*z + 2)/15
Solve 4*o**2 + 12*o - 16 = 0.
-4, 1
Let r**2/6 - 16*r/3 + 31/6 = 0. What is r?
1, 31
Suppose -12*g**5 + 63*g**4 + 186*g**3 - 189*g**2 - 552*g - 252 = 0. Calculate g.
-2, -1, -3/4, 2, 7
Suppose b**2/3 - 302*b/3 + 495 = 0. What is b?
5, 297
Factor 2*y**4/9 + 20*y**3 - 182*y**2/9.
2*y**2*(y - 1)*(y + 91)/9
Factor -2*w**2/9 + 260*w/9 - 8450/9.
-2*(w - 65)**2/9
Factor -2*f**4/3 + 8*f**3/3 - 8*f**2/3.
-2*f**2*(f - 2)**2/3
Determine j, given that j**4 + 13*j**3 + 26*j**2 - 52*j - 120 = 0.
-10, -3, -2, 2
What is o in o**4/4 - 11*o**3/2 + 29*o**2 + 11*o/2 - 117/4 = 0?
-1, 1, 9, 13
What is n in n**3/8 + 395*n**2/8 + 40723*n/8 + 335241/8 = 0?
-193, -9
Let -138*x**2/11 - 86*x/11 + 4/11 = 0. What is x?
-2/3, 1/23
Factor 2*h**2 + 342*h + 1008.
2*(h + 3)*(h + 168)
Find l such that l**2 - 87*l + 1136 = 0.
16, 71
Find n, given that -6*n**3/5 + 14*n**2/5 - 2*n + 2/5 = 0.
1/3, 1
Find v, given that -v**5/8 - 5*v**4/2 - 41*v**3/4 - 27*v**2/2 - 45*v/8 = 0.
-15, -3, -1, 0
Factor 5*u**3 - 105*u**2 + 280*u - 180.
5*(u - 18)*(u - 2)*(u - 1)
Factor -7*c**3/4 + 165*c**2/4 - 193*c/2 + 42.
-(c - 21)*(c - 2)*(7*c - 4)/4
Factor 4*m**4/9 - 28*m**3/9 + 8*m**2 - 80*m/9 + 32/9.
4*(m - 2)**3*(m - 1)/9
Solve 12*j**4 + 291*j**3 + 339*j**2 - 147*j - 207 = 0.
-23, -1, 3/4
Find j, given that 4*j**2 + 20*j + 24 = 0.
-3, -2
Determine k, given that -12*k**5/5 + 81*k**4/5 - 27*k**3 - 15*k**2 + 207*k/5 + 54/5 = 0.
-1, -1/4, 2, 3
Suppose 16*i**5 + 12*i**4 - 52*i**3 - 68*i**2 - 12*i + 8 = 0. What is i?
-1, 1/4, 2
Let -2*r**2 - 822*r - 2448 = 0. What is r?
-408, -3
Determine o, given that o**2/2 - 1082*o + 585362 = 0.
1082
Find g such that -3*g**3 + 2142*g**2 - 4275*g + 2136 = 0.
1, 712
Let 3*g**3 + 60*g**2 + 201*g + 144 = 0. What is g?
-16, -3, -1
Factor -2*t**3/7 + 58*t**2/7 - 64*t + 56.
-2*(t - 14)**2*(t - 1)/7
Suppose -2*v**4/3 - 104*v**3/3 - 1544*v**2/3 - 1664*v - 1536 = 0. Calculate v.
-24, -2
Solve 2*g**5 - 458*g**4 - 2810*g**3 - 2350*g**2 = 0 for g.
-5, -1, 0, 235
Let -2*i**3/13 + 4*i**2/13 + 46*i/13 - 120/13 = 0. Calculate i.
-5, 3, 4
Solve -50*h**5 + 240*h**4/7 + 786*h**3/7 - 404*h**2/7 - 456*h/7 + 144/7 = 0 for h.
-1, 2/7, 6/5
Solve -o**5/12 + o**4/4 + 25*o**3/12 + 25*o**2/12 - 2*o - 7/3 = 0 for o.
-2, -1, 1, 7
Let 7*g**4 - 368*g**3/5 - 521*g**2/5 - 118*g/5 = 0. What is g?
-1, -2/7, 0, 59/5
Suppose 4*r**4/3 + 88*r**3/3 - 92*r**2/3 = 0. Calculate r.
-23, 0, 1
Suppose 2*l**2/5 - 148*l/5 - 462/5 = 0. What is l?
-3, 77
Determine v, given that 15*v**2/2 + 33*v + 12 = 0.
-4, -2/5
Suppose -20*v**5 - 19424*v**4 - 23541856*v**3/5 + 18880128*v**2/5 - 3779136*v/5 = 0. Calculate v.
-486, 0, 2/5
Let -2*n**3/3 + 2*n**2 + 4*n - 16/3 = 0. What is n?
-2, 1, 4
Factor -2*k**3/7 + 60*k**2/7 - 58*k/7.
-2*k*(k - 29)*(k - 1)/7
Factor 150*q**2 + 1220*q + 7442/3.
2*(15*q + 61)**2/3
Suppose 2*p**4/7 - 4*p**3/7 - 2*p**2 - 8*p/7 = 0. What is p?
-1, 0, 4
Let 4*v**3/5 + 712*v**2/5 + 6192*v - 12960 = 0. What is v?
-90, 2
Factor 2*u**3/3 + 90*u**2 - 368*u + 1112/3.
2*(u - 2)**2*(u + 139)/3
Factor -j**4/7 + 3*j**3/7 + 6*j**2/7 - 8*j/7.
-j*(j - 4)*(j - 1)*(j + 2)/7
Solve -4*r**3 + 192*r - 512 = 0.
-8, 4
Suppose -3*u**5 - 4*u**4 + 2*u**3 + 4*u**2 + u = 0. Calculate u.
-1, -1/3, 0, 1
Let -5*p**5 - 10*p**4 + 15*p**3 = 0. What is p?
-3, 0, 1
Solve c**2 - 2911*c - 5826 = 0.
-2, 2913
Factor 8*h**3/15 + 32*h**2/15 + 26*h/15 + 2/5.
2*(h + 3)*(2*h + 1)**2/15
Solve x**5 - 3*x**4 + x**3 + 3*x**2 - 2*x = 0 for x.
-1, 0, 1, 2
Factor -2*u**2/11 - 4156*u/11 - 2159042/11.
-2*(u + 1039)**2/11
Find w such that 845*w**5 + 520*w**4 - 2455*w**3 + 130*w**2 + 800*w + 160 = 0.
-2, -4/13, 1
Factor m**3 - 7*m**2 + 16*m - 12.
(m - 3)*(m - 2)**2
Factor -b**2/4 - 15*b - 225.
-(b + 30)**2/4
Factor 28*p**3 - 88936*p**2 + 114308*p - 25400.
4*(p - 3175)*(p - 1)*(7*p - 2)
Solve 2*v**5 - 92*v**4 + 1616*v**3 - 13280*v**2 + 48800*v - 56000 = 0.
2, 10, 14
Factor -3*v**3/2 - 141*v**2/2 - 798*v.
-3*v*(v + 19)*(v + 28)/2
Factor x**5/5 - 7*x**4/5 - 8*x**3/5.
x**3*(x - 8)*(x + 1)/5
Solve d**3/3 + 122*d**2/3 + 121*d/3 = 0 for d.
-121, -1, 0
Let -4*i**3 + 40*i**2 + 44*i = 0. What is i?
-1, 0, 11
Factor -a**3/4 + 9*a**2/2 - 33*a/4 + 4.
-(a - 16)*(a - 1)**2/4
Suppose 33*x**3 + 273*x**2 + 492*x + 252 = 0. What is x?
-6, -14/11, -1
Factor -5*y**4 - 25*y**3.
-5*y**3*(y + 5)
Factor l**3/7 - 23*l**2/7 + 17*l + 143/7.
(l - 13)*(l - 11)*(l + 1)/7
Let -2*w**3 - 2958*w**2 + 5924*w = 0. What is w?
-1481, 0, 2
Suppose j**2/4 - 27*j/2 - 90 = 0. What is j?
-6, 60
Let 5*t**3 - 550*t**2 + 15485*t - 129960 = 0. What is t?
19, 72
Find f such that 10*f**2 - 66*f - 28 = 0.
-2/5, 7
Suppose -3*y**5 + 1377*y**4 - 238032*y**3 + 18480312*y**2 - 560023632*y + 1520064144 = 0. What is y?
3, 114
Factor 5*p**4 + 120*p**3 + 720*p**2.
5*p**2*(p + 12)**2
Determine y, given that -7*y**4/5 - 8*y**3/5 = 0.
-8/7, 0
Suppose -2*u**4 - 18*u**3 - 14*u**2 + 18*u + 16 = 0. Calculate u.
-8, -1, 1
Determine i so that 296369749761282*i**4 + 679552306704*i**3 + 584309808*i**2 + 223296*i + 32 = 0.
-2/3489
Factor -i**5/7 + 12*i**4 - 1845*i**3/7 + 3362*i**2/7.
-i**2*(i - 41)**2*(i - 2)/7
Factor n**4/8 - 41*n**2/8 + 9*n + 14.
(n - 4)**2*(n + 1)*(n + 7)/8
Let -4*b**2 - 96*b - 320 = 0. Calculate b.
-20, -4
Factor -6*s**2/19 + 20*s/19 + 16/19.
-2*(s - 4)*(3*s + 2)/19
What is w in 4*w**2/3 + 8*w + 20/3 = 0?
-5, -1
Let -2*d**3/21 + 4*d**2/7 - 22*d/21 + 4/7 = 0. What is d?
1, 2, 3
Factor -9*x**3 - 50*x**2 - 64*x.
-x*(x + 2)*(9*x + 32)
Factor x**2 + 1470*x - 1471.
(x - 1)*(x + 1471)
Factor -325*h**2 - 330*h - 5.
-5*(h + 1)*(65*h + 1)
Suppose 3*o**3 - 3*o**2 - 15*o - 9 = 0. Calculate o.
-1, 3
Determine z, given that -2*z**5/17 + 6*z**4/17 - 4*z**3/17 = 0.
0, 1, 2
Determine m so that 2*m**5 + 6*m**4 - 44*m**3 - 148*m**2 - 150*m - 50 = 0.
-5, -1, 5
Solve 177*l**2/7 - 877*l/7 - 40/7 = 0 for l.
-8/177, 5
Solve 3*g**3 + 6*g**2 - 129*g - 420 = 0 for g.
-5, -4, 7
Suppose 270*j**3 + 16*j**2 - 8*j/3 = 0. Calculate j.
-2/15, 0, 2/27
Factor -4*v**2 + 160*v + 336.
-4*(v - 42)*(v + 2)
Determine r so that 3*r**2 + 216*r + 213 = 0.
-71, -1
Find s such that 5*s**3 + 120*s**2 + 585*s - 1690 = 0.
-13, 2
Factor 2*w**2/9 - 148*w/9 - 166.
2*(w - 83)*(w + 9)/9
Let -2*r**3/7 + 166*r**2/7 = 0. What is r?
0, 83
Suppose 2*f**2 - 14*f + 24 = 0. Calculate f.
3, 4
Find q, given that -5*q**3 - 10*q**2 + 35*q - 20 = 0.
-4, 1
Solve 6*n**3 - 832*n**2 + 29118*n - 19044 = 0.
2/3, 69
Factor s**5/8 - 17*s**3/8 + 9*s**2/2 - 5*s/2.
s*(s - 2)**2*(s - 1)*(s + 5)/8
Let 2*d**4/3 - 88*d**3/3 - 2*d**2 + 260*d/3 + 176/3 = 0. What is d?
-1, 2, 44
Factor 20*k**3 - 95*k**2 - 690*k - 675.
5*(k - 9)*(k + 3)*(4*k + 5)
Factor 3*n**4/2 + 15*n**3/2.
3*n**3*(n + 5)/2
Suppose -6*q**4 - 405*q**3 - 9081*q**2 - 69240*q - 32400 = 0. Calculate q.
-27, -20, -1/2
Find w such that 15*w**3 + 115*w**2 + 140*w - 60 = 0.
-6, -2, 1/3
Let 3*g**2 - 243*g - 246 = 0. What is g?
-1, 82
Factor o**3/6 + o**2/6 - 65*o/6 - 75/2.
(o - 9)*(o + 5)**2/6
Solve 4*j**2/7 - 1696*j/7 + 179776/7 = 0 for j.
212
Factor 2*s**5/7 + 2*s**4 - 34*s**3/7 + 18*s**2/7.
2*s**2*(s - 1)**2*(s + 9)/7
Factor 4*p**3/7 - 8*p**2/7 - 12*p/7.
4*p*(p - 3)*(p + 1)/7
Factor -s**4 + 49*s**3 - 869*s**2 + 6539*s - 17238.
-(s - 17)*(s - 13)**2*(s - 6)
Factor -2*r**2 - 2550*r + 2552.
-2*(r - 1)*(r + 1276)
Factor -3*d**2 - 12*d + 36.
-3*(d - 2)*(d + 6)
Factor 50*i**4/13 - 246*i**3/13 - 20*i**2/13.
2*i**2*(i - 5)*(25*i + 2)/13
Factor w**2/3 - 4*w/3 - 4.
(w - 6)*(w + 2)/3
Let 4*v**5 + 8*v**4 - 16*v**3 - 8*v**2 + 12*v = 0. What is v?
-3, -1, 0, 1
Let -4*w**3/5 + 1308*w**2/5 + 1312*w/5 = 0. What is w?
-1, 0, 328
Suppose -2*y**2/3 + 20*y/3 - 50/3 = 0. What is y?
5
Solve -j**3 + 11*j**2 - 24*j = 0 for j.
0, 3, 8
Factor 2*l**3/9 - 92*l**2/9 + 176*l/9.
2*l*(l - 44)*(l - 2)/9
Solve -5*q**3 - 1500*q**2 - 113985*q - 222010 = 0.
-149, -2
Factor -36*m**2 + 1232*m - 272.
-4*(m - 34)*(9*m - 2)
Let 3*o**5/8 - 9045*o**4/8 + 5454135*o**3/4 - 3288843405*o**2/4 + 1983172573215*o/8 - 239170612329729/8 = 0. Calculate o.
603
Solve -2*c**5/13 - 34*c**4/13 - 114*c**3/13 - 134*c**2/13 - 4*c = 0 for c.
-13, -2, -1, 0
Find q, given that -q**4 + 6*q**3 - 4*q**2 - 6*q + 5 = 0.
-1, 1, 5
Factor m**4/11 - 3*m**3/11 + 3*m**2/11 - m/11.
m*(m - 1)**3/11
Suppose 