t 2*z**5/3 - 26*z**3/3 + 32*z**2/3 + 8*z - 32/3 = 0.
-4, -1, 1, 2
Factor -h**2/2 - 12*h.
-h*(h + 24)/2
Find o, given that -2*o**2/3 - 368*o/3 + 374 = 0.
-187, 3
Solve -h**3/3 - 191*h**2 - 27265*h + 82369/3 = 0 for h.
-287, 1
Factor 4*o**5/7 + 8*o**4/7 - 12*o**3/7 - 16*o**2/7 + 16*o/7.
4*o*(o - 1)**2*(o + 2)**2/7
Let -y**4/4 + 85*y**3 - 28899*y**2/4 - 85*y + 7225 = 0. What is y?
-1, 1, 170
Let -2*p**3 + 1334*p**2 + 1336*p = 0. Calculate p.
-1, 0, 668
Solve 3*b**2 + 51*b + 126 = 0 for b.
-14, -3
Solve 441*n**5/4 + 4893*n**4/4 + 11047*n**3/4 - 14857*n**2/4 - 372*n - 9 = 0 for n.
-6, -1/21, 1
Let -98*w**4/9 - 658*w**3 + 5252*w**2/3 - 7544*w/9 + 112 = 0. Calculate w.
-63, 2/7, 2
Solve -12*y**5 - 20*y**4 + 16*y**3 + 16*y**2 = 0.
-2, -2/3, 0, 1
Factor 3*z**3/2 - 33*z**2/2 - 3*z/2 + 33/2.
3*(z - 11)*(z - 1)*(z + 1)/2
Suppose 343*u**4/5 - 11319*u**3/5 + 54306*u**2/5 + 33836*u/5 + 4968/5 = 0. What is u?
-2/7, 46/7, 27
Factor 5*d**3 + 55*d**2 - 60*d.
5*d*(d - 1)*(d + 12)
Factor -2*v**3/7 + 8814*v**2/7 - 12947766*v/7 + 6340089418/7.
-2*(v - 1469)**3/7
Factor -3*g**4/2 - 906*g**3 - 137709*g**2 - 272706*g - 271803/2.
-3*(g + 1)**2*(g + 301)**2/2
Factor -28*a**2/3 - 40*a/3 - 4.
-4*(a + 1)*(7*a + 3)/3
Suppose 2*q**2 - 84*q + 82 = 0. Calculate q.
1, 41
Factor -4*t**5 + 148*t**4 + 312*t**3 + 8*t**2 - 308*t - 156.
-4*(t - 39)*(t - 1)*(t + 1)**3
Suppose k**3/4 + 33*k**2/4 - 421*k/4 + 387/4 = 0. Calculate k.
-43, 1, 9
Factor -4356*s**4 + 17952*s**3 - 19552*s**2 + 2176*s - 64.
-4*(s - 2)**2*(33*s - 2)**2
Let 147*s**5 + 28434*s**4 - 45243*s**3 - 38454*s**2 + 30396*s - 4680 = 0. Calculate s.
-195, -1, 2/7, 2
Factor -2*y**4 - 190*y**3 - 4788*y**2 - 13064*y - 8464.
-2*(y + 1)*(y + 2)*(y + 46)**2
Factor -a**2/4 + 413*a/2 - 825/4.
-(a - 825)*(a - 1)/4
Solve -640*y**5/3 + 288*y**4 - 122*y**3/3 - 46*y**2 + 12*y = 0.
-2/5, 0, 3/8, 1
Let j**5/4 - j**4/4 - 77*j**3/4 - 323*j**2/4 - 106*j - 44 = 0. Calculate j.
-4, -1, 11
Factor 2*p**5 + 22*p**4 + 48*p**3 - 72*p**2.
2*p**2*(p - 1)*(p + 6)**2
What is r in 38*r**2/15 - 26*r/15 - 4/5 = 0?
-6/19, 1
Suppose -4*h**2/7 - 442*h/7 - 220/7 = 0. What is h?
-110, -1/2
Find o such that 4*o**2 - 1896*o + 224676 = 0.
237
Factor 3*u**3/7 + 99*u**2/7 + 1089*u/7 + 3993/7.
3*(u + 11)**3/7
Solve 2*n**2/15 - 6*n + 172/15 = 0.
2, 43
Find i such that 7*i**4/2 - 34*i**3 - 97*i**2/2 - 11*i = 0.
-1, -2/7, 0, 11
Find s such that 2*s**3 - 24*s**2 + 72*s = 0.
0, 6
Find p such that 3*p**3 - 18*p**2 + 27*p - 12 = 0.
1, 4
Factor -25*l**3/2 - 55*l**2 - 20*l.
-5*l*(l + 4)*(5*l + 2)/2
What is z in -z**5/4 + 37*z**4/4 + 45*z**3/2 - 241*z**2/2 + 551*z/4 - 195/4 = 0?
-5, 1, 39
Suppose -5*g**4 + 140*g**3 - 765*g**2 + 630*g = 0. What is g?
0, 1, 6, 21
Factor -4*j**3 + 212*j**2 - 200*j - 416.
-4*(j - 52)*(j - 2)*(j + 1)
Factor -3*k**2 + 120*k - 117.
-3*(k - 39)*(k - 1)
Factor -12482*a**2 + 1264*a - 32.
-2*(79*a - 4)**2
Factor -n**5/2 - 23*n**4/2 + 49*n**3/2 - 25*n**2/2.
-n**2*(n - 1)**2*(n + 25)/2
Factor 2*r**4/19 + 14*r**3/19 + 36*r**2/19 + 40*r/19 + 16/19.
2*(r + 1)*(r + 2)**3/19
Find o, given that 2*o**2 + 12*o + 18 = 0.
-3
Suppose 5*o**4/2 + 5*o**3/2 - 35*o**2/2 - 65*o/2 - 15 = 0. Calculate o.
-2, -1, 3
Suppose 2*z**4/21 - 4*z**3/21 + 2*z**2/21 = 0. What is z?
0, 1
Determine a so that -a**3/5 + 191*a**2/5 - 75*a - 567/5 = 0.
-1, 3, 189
Let 16*o**4/21 - 124*o**3/3 + 1838*o**2/21 + 1762*o/21 + 104/7 = 0. Calculate o.
-1/2, -1/4, 3, 52
Factor 2*g**4/15 + 98*g**3/5 - 80*g**2 + 1208*g/15.
2*g*(g - 2)**2*(g + 151)/15
Solve j**2/3 - 595*j/3 = 0 for j.
0, 595
Factor m**2/2 + 230*m + 459/2.
(m + 1)*(m + 459)/2
Determine u, given that -u**2/4 - 3*u/2 - 9/4 = 0.
-3
Determine p, given that 5*p**2 + 615*p = 0.
-123, 0
Factor 4*a**4 + 76*a**3 + 308*a**2 + 404*a + 168.
4*(a + 1)**2*(a + 3)*(a + 14)
Find z such that -4*z**3/5 + 68*z**2/5 - 252*z/5 - 324/5 = 0.
-1, 9
Factor x**5/6 - 5*x**4/6 + 5*x**3/3 - 5*x**2/3 + 5*x/6 - 1/6.
(x - 1)**5/6
Suppose 4*n**4 - 240*n**3 + 3832*n**2 - 6960*n + 3364 = 0. Calculate n.
1, 29
Determine j, given that -j**3/6 + 49*j/6 + 20 = 0.
-5, -3, 8
Suppose -4*z**2/3 - 4240*z/3 - 1123600/3 = 0. What is z?
-530
Factor -203*j**2 + 209*j - 6.
-(j - 1)*(203*j - 6)
Factor -2*n**3/13 + 30*n**2/13 - 54*n/13 + 2.
-2*(n - 13)*(n - 1)**2/13
Suppose -h**4/3 - 493*h**3/3 + h**2/3 + 493*h/3 = 0. What is h?
-493, -1, 0, 1
Determine u, given that u**5 - 8*u**4 + 20*u**3 - 16*u**2 = 0.
0, 2, 4
Let v**2 + 554*v - 555 = 0. What is v?
-555, 1
Determine m, given that 80*m**3 + 16360*m**2 - 8195*m + 1025 = 0.
-205, 1/4
Suppose -4*w**3 + 24*w**2 + 52*w - 168 = 0. What is w?
-3, 2, 7
Find l, given that 4*l**2 - 12*l - 72 = 0.
-3, 6
Factor q**3/2 + 11*q**2/2 - 605*q/2 + 3993/2.
(q - 11)**2*(q + 33)/2
Factor -3*b**4 + 351*b**3 + 354*b**2.
-3*b**2*(b - 118)*(b + 1)
Find n such that -n**5/4 - 2*n**4 - 3*n**3 + 27*n**2/2 + 189*n/4 + 81/2 = 0.
-3, -2, 3
Solve -2*b**2/5 - 28*b/5 - 96/5 = 0 for b.
-8, -6
Factor -q**4/3 - 29*q**3/3 - 23*q**2 + 229*q/3 - 130/3.
-(q - 1)**2*(q + 5)*(q + 26)/3
Factor -k**4/2 + 21*k**3/2 - 36*k**2 + 34*k.
-k*(k - 17)*(k - 2)**2/2
Factor -5*i**2 + 75*i - 180.
-5*(i - 12)*(i - 3)
Factor -3*x**4/7 + 20*x**3/7 + 31*x**2/7 + 8*x/7.
-x*(x - 8)*(x + 1)*(3*x + 1)/7
Determine p so that 4*p**4 - 208*p**3/3 + 80*p**2 + 256*p/3 = 0.
-2/3, 0, 2, 16
Suppose -r**5/5 + 2*r**4/5 - 2*r**2/5 + r/5 = 0. What is r?
-1, 0, 1
Factor a**4/5 - 83*a**3/5.
a**3*(a - 83)/5
Find v, given that -5*v**4/2 - 330*v**3 - 23665*v**2/2 - 62055*v - 79380 = 0.
-63, -4, -2
Factor -r**4 + 4*r**3 + 29*r**2 + 24*r.
-r*(r - 8)*(r + 1)*(r + 3)
Let -2*o**4/7 + 16*o**3/7 + 38*o**2/7 + 20*o/7 = 0. Calculate o.
-1, 0, 10
Factor j**4 - 17*j**3 + 31*j**2 - 15*j.
j*(j - 15)*(j - 1)**2
Let -4*r**3/3 - 169*r**2/3 + 310*r/3 + 88/3 = 0. What is r?
-44, -1/4, 2
Solve 4*n**4 + 44*n**3 + 80*n**2 - 128*n = 0.
-8, -4, 0, 1
Let -4*i**5/7 - 68*i**4/7 - 324*i**3/7 - 4*i**2 + 280*i = 0. Calculate i.
-7, -5, 0, 2
Let -o**3 + 18*o**2 - 108*o + 216 = 0. Calculate o.
6
Find g, given that -3*g**2 + 33*g - 72 = 0.
3, 8
Factor 2*v**2/7 - 110*v/7 + 1500/7.
2*(v - 30)*(v - 25)/7
Find k such that -k**5/6 - k**4 + k**3/2 + 8*k**2/3 - 2*k = 0.
-6, -2, 0, 1
Factor -2*r**4/5 - 706*r**3/5 - 83538*r**2/5 - 3367494*r/5 - 6406452/5.
-2*(r + 2)*(r + 117)**3/5
Solve -3*n**3 + 45*n**2 + 48*n = 0.
-1, 0, 16
Factor -n**3 - 22*n**2 + 23*n.
-n*(n - 1)*(n + 23)
What is f in -4*f**4 - 12*f**3 + 128*f**2 - 240*f + 128 = 0?
-8, 1, 2
Factor 100*p**2 + 128*p + 28.
4*(p + 1)*(25*p + 7)
Find i, given that i**2 - 15*i + 26 = 0.
2, 13
Solve 3*n**3 - 507*n**2 - 3*n + 507 = 0.
-1, 1, 169
Factor -5*z**2 - 13520*z - 9139520.
-5*(z + 1352)**2
Find v, given that -v**2 - 2362*v - 1394761 = 0.
-1181
Factor -2*a**2 - 4*a + 30.
-2*(a - 3)*(a + 5)
Solve -2*i**3/9 + 22*i**2/9 - 76*i/9 + 80/9 = 0.
2, 4, 5
Factor 3*h**3 - 57*h**2 + 357*h - 735.
3*(h - 7)**2*(h - 5)
Solve -2*q**2 - 18*q + 440 = 0 for q.
-20, 11
Find x, given that -3*x**4/4 - 3*x**3/4 + 3*x**2/4 + 3*x/4 = 0.
-1, 0, 1
Factor -i**3/3 + 643*i**2/3 - 103040*i/3 - 103684/3.
-(i - 322)**2*(i + 1)/3
What is b in -b**5 + 1991*b**4 - 992015*b**3 + 990025*b**2 = 0?
0, 1, 995
Suppose -4*d**4/5 - 218*d**3/5 - 3022*d**2/5 - 270*d + 1458/5 = 0. What is d?
-27, -1, 1/2
Factor 2*c**3/11 - 20*c**2 + 6264*c/11 - 11664/11.
2*(c - 54)**2*(c - 2)/11
Find n such that 2*n**4/7 + 16*n**3/7 + 48*n**2/7 + 64*n/7 + 32/7 = 0.
-2
Factor z**3/5 + 135*z**2 - 1353*z/5 + 677/5.
(z - 1)**2*(z + 677)/5
Factor 2*z**3 - 160*z**2 - 672*z.
2*z*(z - 84)*(z + 4)
Let -2*q**2/7 - 220*q/7 - 6050/7 = 0. What is q?
-55
Factor -5*q**2 - 7045*q + 14110.
-5*(q - 2)*(q + 1411)
Factor r**5 - 5*r**4 + 6*r**3 + 4*r**2 - 8*r.
r*(r - 2)**3*(r + 1)
Suppose -3*l**5/7 - 12*l**4/7 + 15*l**3/7 + 108*l**2/7 + 108*l/7 = 0. Calculate l.
-3, -2, 0, 3
Find f such that -2*f**4/7 + 116*f**3/7 - 1136*f**2/7 - 16500*f/7 - 2178 = 0.
-7, -1, 33
What is m in -5*m**5 + 10*m**3 - 5*m = 0?
-1, 0, 1
Determine n, given that 4*n**4/5 + 1572*n**3/5 + 204336*n**2/5 + 8572608*n/5 - 27599616/5 = 0.
-132, 3
Suppose 2*i**2 + 136*i - 138 = 0. What is i?
-69, 1
Factor -3*b**4/7 + 186*b**3/7 - 2883*b**2/7.
-3*b**2*(b - 31)**2/7
Solve -5*b**5 + 215*b**4 - 3055*b**3 + 14365*b**2 = 0.
0, 13, 17
Solve 6*z**3 + 99*z**2 - 1440*z + 3975 = 0.
-53/2, 5
Find c such that -c**2/2 + 227*c/2 = 0.