iven that -128*s**4/5 + 48*s**3/5 + 324*s**2/5 + 172*s/5 + 24/5 = 0.
-1, -3/8, -1/4, 2
Factor -3*c**3/2 - 435*c**2 - 63075*c/2.
-3*c*(c + 145)**2/2
Factor 3*t**2 + 78*t + 360.
3*(t + 6)*(t + 20)
Factor -2*o**4/5 + 44*o**3/5 + 478*o**2/5 - 1584*o - 12960.
-2*(o - 20)**2*(o + 9)**2/5
Factor -4*f**2 + 88*f - 228.
-4*(f - 19)*(f - 3)
Factor l**4/4 + 111*l**3/4 - l**2/4 - 111*l/4.
l*(l - 1)*(l + 1)*(l + 111)/4
What is w in -5*w**5 + 310*w**4 - 6545*w**3 + 50900*w**2 - 83380*w + 38720 = 0?
1, 16, 22
Factor 2*b**5/9 + 4*b**4/9 - 4*b**2/9 - 2*b/9.
2*b*(b - 1)*(b + 1)**3/9
Solve u**2/2 + 853*u/2 = 0.
-853, 0
Factor 3*r**4/7 - r**3 - 22*r**2/7 + 8*r/7.
r*(r - 4)*(r + 2)*(3*r - 1)/7
Find i, given that 27*i**2/7 - 144*i + 1344 = 0.
56/3
Factor 3*v**2/2 + 246*v + 10086.
3*(v + 82)**2/2
Determine f, given that -4*f**2 + 72*f + 76 = 0.
-1, 19
Solve -5*j**4 - 350*j**3 - 6785*j**2 - 23100*j - 21780 = 0 for j.
-33, -2
Factor p**2/3 - 93*p - 280/3.
(p - 280)*(p + 1)/3
Suppose -2*x**3 + 6*x**2 - 6*x + 2 = 0. What is x?
1
Factor z**3/2 + 23*z**2/2 + 31*z + 20.
(z + 1)*(z + 2)*(z + 20)/2
Find b such that -15*b**4/8 - 153*b**3/4 + 525*b**2/8 - 9*b - 33/2 = 0.
-22, -2/5, 1
Find y, given that -2*y**3/23 - 82*y**2/23 - 798*y/23 + 882/23 = 0.
-21, 1
Let -4*p**2 - 112*p - 208 = 0. What is p?
-26, -2
Suppose -j**2 + 160*j - 6400 = 0. What is j?
80
Factor 3*r**4 - 36*r**3 + 144*r**2 - 192*r.
3*r*(r - 4)**3
Factor 10*v**4 + 65*v**3 + 30*v**2.
5*v**2*(v + 6)*(2*v + 1)
Factor h**2/2 + 11*h - 624.
(h - 26)*(h + 48)/2
Let -12*l**4 + 147*l**3 + 144*l**2 - 357*l + 78 = 0. Calculate l.
-2, 1/4, 1, 13
Factor 132*a**3 - 124*a**2 - 8*a.
4*a*(a - 1)*(33*a + 2)
Find l, given that -2*l**3/21 + 8*l**2 - 54*l/7 - 332/21 = 0.
-1, 2, 83
Suppose 22*s**4 - 40*s**3 - 30*s**2 + 40*s + 8 = 0. What is s?
-1, -2/11, 1, 2
Suppose -b**3/3 + 3*b**2 - 11*b/3 - 7 = 0. What is b?
-1, 3, 7
Solve -h**5 - 3*h**4 + 10*h**3 - 2*h**2 - 9*h + 5 = 0 for h.
-5, -1, 1
Factor -5*v**2 + 20*v - 15.
-5*(v - 3)*(v - 1)
Solve -9*j**5 - 2661*j**4/2 - 36675*j**3 + 974850*j**2 - 149076*j - 322752 = 0.
-82, -1/2, 2/3, 16
Suppose -3*v**4 - 114*v**3 + 243*v**2 + 114*v - 240 = 0. What is v?
-40, -1, 1, 2
Factor 3*v**5/5 - 906*v**4/5 + 69303*v**3/5 - 27180*v**2 + 13500*v.
3*v*(v - 150)**2*(v - 1)**2/5
Factor -5*p**3 - 75*p**2 + 170*p.
-5*p*(p - 2)*(p + 17)
Find a, given that a**2/4 - 37*a/4 + 161/2 = 0.
14, 23
Factor 2*c**2 + 76*c + 74.
2*(c + 1)*(c + 37)
Factor c**3 + 133*c**2 + 263*c + 131.
(c + 1)**2*(c + 131)
Let -4*b**5/7 + 80*b**4/7 - 384*b**3/7 - 320*b**2/7 + 1600*b/7 = 0. What is b?
-2, 0, 2, 10
Factor y**5 + 518*y**4 + 517*y**3.
y**3*(y + 1)*(y + 517)
What is r in -9*r**5/7 + 87*r**4/7 + 246*r**3/7 + 72*r**2/7 = 0?
-2, -1/3, 0, 12
Determine y, given that -6*y**4/7 - 279*y**3/7 - 891*y**2/7 + 516*y/7 = 0.
-43, -4, 0, 1/2
Solve 6*v**5 + 663*v**4/2 - 507*v**3/2 - 84*v**2 = 0 for v.
-56, -1/4, 0, 1
Factor 3*g**2 + 966*g + 77763.
3*(g + 161)**2
Factor -2*q**4/5 + 8*q**3/5 - 6*q**2/5.
-2*q**2*(q - 3)*(q - 1)/5
Factor -f**4/3 - 23*f**3 - 529*f**2 - 12167*f/3.
-f*(f + 23)**3/3
Factor -c**4/6 - 4*c**3/3 - 13*c**2/6 - c.
-c*(c + 1)**2*(c + 6)/6
Solve 2*r**5/9 + 8*r**4 + 536*r**3/9 + 44*r**2 - 538*r/9 - 52 = 0.
-26, -9, -1, 1
Factor k**3/4 + 211*k**2/4 + 2756*k - 2809.
(k - 1)*(k + 106)**2/4
Find i such that 2*i**5/7 + 30*i**4/7 + 94*i**3/7 + 58*i**2/7 - 96*i/7 - 88/7 = 0.
-11, -2, -1, 1
Factor q**5/6 - q**3/3 + q/6.
q*(q - 1)**2*(q + 1)**2/6
Factor -4*k**2/5 - 36*k + 784/5.
-4*(k - 4)*(k + 49)/5
Solve v**3/3 - 224*v**2/3 + 4028*v + 17328 = 0 for v.
-4, 114
Solve -7*g**5/2 - 15198*g**4 - 22004530*g**3 - 10632366443*g**2 - 27280237461*g/2 - 3029741623 = 0.
-1447, -1, -2/7
Find m, given that m**5/9 + 13*m**4/9 + 5*m**3 + 35*m**2/9 - 46*m/9 - 16/3 = 0.
-8, -3, -2, -1, 1
Determine l, given that -l**5 + 5*l**4 + 2*l**3 - 24*l**2 = 0.
-2, 0, 3, 4
Factor 4*d**2/5 - 338*d/5 + 334/5.
2*(d - 1)*(2*d - 167)/5
Factor -w**4/5 + 36*w**3/5 - 57*w**2 - 722*w/5.
-w*(w - 19)**2*(w + 2)/5
Let -5*w**4 - 4090*w**3 - 840485*w**2 - 1668720*w - 832320 = 0. Calculate w.
-408, -1
Find n, given that -n**3 - 140*n**2 + n + 140 = 0.
-140, -1, 1
Factor 4*y**3 - 36*y**2 - 4*y + 36.
4*(y - 9)*(y - 1)*(y + 1)
Factor -2*y**3/7 + 2*y**2/7 + 20*y/7 + 16/7.
-2*(y - 4)*(y + 1)*(y + 2)/7
Factor 2*k**3/3 + 16*k**2 - 72*k + 224/3.
2*(k - 2)**2*(k + 28)/3
Determine v, given that -2*v**2/11 - 5436*v/11 - 3693762/11 = 0.
-1359
Determine q so that -q**3 + 112*q**2 + 579*q + 702 = 0.
-3, -2, 117
Let 2*a**4 - 16*a**2 + 32 = 0. What is a?
-2, 2
Let -4*v**2 + 6064*v/3 - 2298256/9 = 0. Calculate v.
758/3
Factor -2*m**2/7 - 68*m/7 - 578/7.
-2*(m + 17)**2/7
Factor 5*r**2 + 9750*r + 9745.
5*(r + 1)*(r + 1949)
Factor j**4/2 + 35*j**3/2 + 63*j**2/2 - 99*j/2.
j*(j - 1)*(j + 3)*(j + 33)/2
Let -4*o**4 - 126*o**3 - 510*o**2 - 656*o - 216 = 0. What is o?
-27, -2, -1/2
Find t, given that t**5 + 8*t**4 - t**3 - 8*t**2 = 0.
-8, -1, 0, 1
Suppose -27*f**5/4 - 414*f**4 + 14379*f**3/4 + 1611*f**2 - 3129*f - 1656 = 0. What is f?
-69, -2/3, 1, 8
Determine j, given that 2*j**2 + 358*j - 360 = 0.
-180, 1
Suppose 27*b**2 - 735*b + 162 = 0. Calculate b.
2/9, 27
Factor 2*h**2/13 - 1158*h/13 - 1160/13.
2*(h - 580)*(h + 1)/13
Suppose v**5/4 + 31*v**4/4 + 44*v**3 + 44*v**2 - 96*v = 0. What is v?
-24, -4, 0, 1
Factor -5*n**2 + 1040*n + 1045.
-5*(n - 209)*(n + 1)
Suppose 2*r**5/7 - 8*r**4 + 72*r**3 - 1396*r**2/7 - 506*r/7 + 1452/7 = 0. What is r?
-1, 1, 6, 11
Determine z so that -2*z**2 + 192*z - 190 = 0.
1, 95
Factor 12*j**3 - 316*j**2/3 - 864*j - 560/3.
4*(j - 14)*(j + 5)*(9*j + 2)/3
Factor 2*q**4 + 294*q**3 + 14688*q**2 + 262656*q + 663552.
2*(q + 3)*(q + 48)**3
Factor 2*i**4/5 - 8*i**3/5 - 14*i**2/5 + 4*i.
2*i*(i - 5)*(i - 1)*(i + 2)/5
Suppose 4*j**3/3 - 40*j**2 - 4*j/3 + 40 = 0. Calculate j.
-1, 1, 30
Determine n, given that 3*n**4 - 23*n**3 + 49*n**2 - 17*n - 12 = 0.
-1/3, 1, 3, 4
Determine j so that -2*j**4/23 - 56*j**3/23 - 242*j**2/23 - 12*j = 0.
-23, -3, -2, 0
Factor 4*s**2 + 108*s - 112.
4*(s - 1)*(s + 28)
Let y**2/12 - 29*y/6 + 208/3 = 0. Calculate y.
26, 32
Determine o so that 35*o**2 - 19625*o - 5610 = 0.
-2/7, 561
Factor -x**4/5 - 2*x**3/5 + 3*x**2/5 + 8*x/5 + 4/5.
-(x - 2)*(x + 1)**2*(x + 2)/5
What is d in -8*d**4 - 8*d**3 + 6*d**2 + 4*d - 2 = 0?
-1, 1/2
Find b such that -4*b**4 - 176*b**3 + 568*b**2 + 176*b - 564 = 0.
-47, -1, 1, 3
Find d, given that -25*d**3 + 85*d**2 + 70*d - 40 = 0.
-1, 2/5, 4
Solve 5*j**3 + 55*j**2 - 5*j - 55 = 0 for j.
-11, -1, 1
Suppose 2*u**2/9 + 3104*u/9 + 1204352/9 = 0. Calculate u.
-776
Solve -3*t**2 - 1260*t = 0 for t.
-420, 0
Determine o so that -198*o**4 + 1036*o**3/3 + 296*o**2/3 + 16*o/3 = 0.
-2/11, -2/27, 0, 2
Solve 2*v**2/9 - 788*v/9 + 77618/9 = 0 for v.
197
Factor -3*r**2/4 - 225*r + 903/4.
-3*(r - 1)*(r + 301)/4
Factor -2*f**4 + 4*f**2 - 2.
-2*(f - 1)**2*(f + 1)**2
Suppose -90*u**2/7 + 52*u/7 + 16/7 = 0. Calculate u.
-2/9, 4/5
Solve -12*m**5 + 519*m**4/7 - 897*m**3/7 + 318*m**2/7 + 144*m/7 = 0.
-1/4, 0, 1, 2, 24/7
Solve -y**5/4 - 7*y**4/2 + 33*y**3 - 151*y**2/2 + 269*y/4 - 21 = 0.
-21, 1, 4
Suppose -5*g**4 - 110*g**3 - 385*g**2 - 460*g - 180 = 0. What is g?
-18, -2, -1
Solve d**5/4 - 41*d**4/2 + 607*d**3/4 - 551*d**2/2 - 152*d + 296 = 0.
-1, 1, 4, 74
Factor -64*t**5 + 7392*t**4 - 211588*t**3 - 107184*t**2 - 13456*t.
-4*t*(t - 58)**2*(4*t + 1)**2
Suppose u**4/2 + 261*u**3/4 - 166*u**2 + 135*u/4 + 133/2 = 0. What is u?
-133, -1/2, 1, 2
Suppose 2*n**3/7 - 34*n**2/7 + 120*n/7 = 0. Calculate n.
0, 5, 12
Factor 5*p**4 + 155*p**3 + 885*p**2 - 2255*p + 1210.
5*(p - 1)**2*(p + 11)*(p + 22)
What is s in -2*s**2 - 118*s = 0?
-59, 0
Suppose 6*z**5 + 8*z**4 - 26*z**3 + 12*z**2 = 0. Calculate z.
-3, 0, 2/3, 1
What is m in -4*m**4 - 52*m**3 + 196*m**2 + 2548*m = 0?
-13, -7, 0, 7
Factor j**5 - 5*j**4 - j**3 + 5*j**2.
j**2*(j - 5)*(j - 1)*(j + 1)
Let o**5/6 + o**4/6 - o**3/2 - o**2/6 + o/3 = 0. Calculate o.
-2, -1, 0, 1
Find p, given that 2*p**2/11 - 9760*p/11 + 11907200/11 = 0.
2440
Factor -i**2/5 + 2*i + 24/5.
-(i - 12)*(i + 2)/5
Factor a**3 - 3*a**2 - a + 3.
(a - 3)*(a - 1)*(a + 1)
Determine n, given that 3*n**4 - 69*n**3 - 3*n**2 + 69*n = 0.
-1, 0, 1, 23
Factor 2*l**5/7 + 20*l**4/7 + 68*l**3/7 + 72*l**2/7 - 54*l/7 - 108/7.
2*(l - 1)*(l + 2)*(l + 3)**3/7
Solve -2