3*(q - 1)*(q + 227)
Determine o so that o**4/5 - 11*o**3/5 + 24*o**2/5 + 36*o/5 = 0.
-1, 0, 6
Factor -x**4 + 10*x**3 - 24*x**2 - 10*x + 25.
-(x - 5)**2*(x - 1)*(x + 1)
Factor 3*d**2 + 270*d.
3*d*(d + 90)
Determine p so that 5*p**4 - 130*p**3 + 1205*p**2 - 4680*p + 6480 = 0.
4, 9
Suppose 4*a**2 - 776*a + 37636 = 0. What is a?
97
Factor 3*v**5/4 - 29*v**4 + 19*v**3.
v**3*(v - 38)*(3*v - 2)/4
Factor -2*y**4 + 20*y**3 + 74*y**2 + 52*y.
-2*y*(y - 13)*(y + 1)*(y + 2)
Factor 4*u**5/7 - 156*u**4 - 2196*u**3/7 - 1100*u**2/7.
4*u**2*(u - 275)*(u + 1)**2/7
Find i such that -4*i**3/7 - 396*i**2/7 - 9600*i/7 + 10000/7 = 0.
-50, 1
What is s in s**5/2 - 8*s**4 + 51*s**3/2 - 18*s**2 = 0?
0, 1, 3, 12
Determine l, given that -3*l**5 - 48*l**4 - 306*l**3 - 972*l**2 - 1539*l - 972 = 0.
-4, -3
Factor -5*r**4 - 35*r**3 - 30*r**2.
-5*r**2*(r + 1)*(r + 6)
Factor -5*u**2 + 1760*u - 154880.
-5*(u - 176)**2
Factor -36*g**3 - 22224*g**2 + 14828*g - 2472.
-4*(g + 618)*(3*g - 1)**2
Let -2*v**4/5 + 134*v**3/5 - 958*v**2/5 + 826*v/5 = 0. What is v?
0, 1, 7, 59
Factor 3*j**2 - 78*j + 507.
3*(j - 13)**2
Factor -3*r**5 + 12*r**4 + 36*r**3.
-3*r**3*(r - 6)*(r + 2)
Factor -2*d**4/9 + 2*d**3/9 + 2*d**2/9 - 2*d/9.
-2*d*(d - 1)**2*(d + 1)/9
Factor 3*o**5 - 21*o**4 + 45*o**3 - 27*o**2.
3*o**2*(o - 3)**2*(o - 1)
Find n such that -5*n**2 - 660*n - 1300 = 0.
-130, -2
Find c such that 5*c**5/4 + 175*c**4/4 - 975*c**3/4 + 1025*c**2/4 + 485*c/2 - 300 = 0.
-40, -1, 1, 2, 3
Factor -p**3 + 3*p**2 + 4*p.
-p*(p - 4)*(p + 1)
Solve -f**4/2 + 5*f**3/4 + 3*f**2/4 = 0 for f.
-1/2, 0, 3
Find m such that 2*m**3/11 + 474*m**2/11 - 476*m/11 = 0.
-238, 0, 1
Solve 3*k**3 - 90*k**2 + 456*k - 576 = 0.
2, 4, 24
Suppose -28*t**2/9 + 34*t/9 - 2/3 = 0. What is t?
3/14, 1
What is j in 44*j**4/3 + 1372*j**3/3 + 12568*j**2/3 + 28112*j/3 + 1568 = 0?
-14, -3, -2/11
Determine f, given that -4*f**4/9 - 20*f**3/9 - 8*f**2/3 = 0.
-3, -2, 0
Factor 2*l**3 - 14828*l**2 - 14830*l.
2*l*(l - 7415)*(l + 1)
Let 2*t**2/5 - 122*t/5 + 24 = 0. What is t?
1, 60
Factor -6*d**2/5 + 60*d + 954/5.
-6*(d - 53)*(d + 3)/5
Factor -4*i**2 - 1308*i.
-4*i*(i + 327)
Factor -4*p**3/5 + 108*p**2/5 - 504*p/5.
-4*p*(p - 21)*(p - 6)/5
Factor -5*j**2 - 18520*j - 17149520.
-5*(j + 1852)**2
Suppose -5*q**3/3 - 80*q**2/3 + 1085*q/3 - 1000/3 = 0. What is q?
-25, 1, 8
Factor -2*x**2/17 + 18*x/17 + 72/17.
-2*(x - 12)*(x + 3)/17
Suppose -5*c**2 + 118*c + 48 = 0. What is c?
-2/5, 24
Solve 8*z**5/5 + 326*z**4/5 - 1114*z**3/5 + 1306*z**2/5 - 614*z/5 + 88/5 = 0.
-44, 1/4, 1
Factor -5*o**2 - 450*o - 880.
-5*(o + 2)*(o + 88)
Determine o so that -o**5 + 5*o**4 - 7*o**3 + 3*o**2 = 0.
0, 1, 3
Suppose -4*d**4 - 232*d**3 - 3984*d**2 - 17888*d - 21632 = 0. What is d?
-26, -4, -2
Suppose 5*s**3 - 4285*s**2 + 920200*s - 915920 = 0. Calculate s.
1, 428
What is v in -110*v**2/13 + 226*v/13 - 12/13 = 0?
3/55, 2
Factor -h**3 - 4*h**2 + 5*h.
-h*(h - 1)*(h + 5)
Factor -135*g**4/8 + 99*g**3/8 + 6*g**2 - 9*g/2.
-3*g*(3*g - 2)**2*(5*g + 3)/8
Suppose l**2 + 154*l - 795 = 0. Calculate l.
-159, 5
Factor 3*o**2 + 6*o + 3.
3*(o + 1)**2
Factor -g**4/4.
-g**4/4
Determine l so that 2*l**5 + 54*l**4/5 + 68*l**3/5 - 88*l**2/5 - 48*l - 128/5 = 0.
-2, -1, 8/5
Let -2*g**2/17 + 56*g/17 + 58/17 = 0. What is g?
-1, 29
Factor f**2 + 307*f/3 + 34.
(f + 102)*(3*f + 1)/3
Factor 3*q**3 - 663*q**2 + 2613*q - 1953.
3*(q - 217)*(q - 3)*(q - 1)
Let 9*o**3 + 1131*o**2 + 5106*o + 2904 = 0. What is o?
-121, -4, -2/3
Solve 2*h**4 - 1280*h**3 + 206076*h**2 - 408320*h + 203522 = 0 for h.
1, 319
Find q such that 2*q**4 - 14*q**3 + 10*q**2 + 14*q - 12 = 0.
-1, 1, 6
Factor -12*f**4 - 28*f**3 - 12*f**2 + 12*f + 8.
-4*(f + 1)**3*(3*f - 2)
Factor -4*r**3 - 256*r**2 - 5460*r - 38808.
-4*(r + 21)**2*(r + 22)
Factor -2*p**3/7 + 12*p**2/7 - 10*p/7.
-2*p*(p - 5)*(p - 1)/7
Factor -15*j**2 - 30640*j + 10215.
-5*(j + 2043)*(3*j - 1)
Factor 4*a**3 + 8592*a**2 + 6151872*a + 1468246784.
4*(a + 716)**3
Factor a**4/4 - 21*a**3/4 - 27*a**2/4 + 113*a/4 - 33/2.
(a - 22)*(a - 1)**2*(a + 3)/4
Factor -g**3/2 - 3*g**2 + g/2 + 3.
-(g - 1)*(g + 1)*(g + 6)/2
Factor -5*z**3 + 1480*z**2 - 109520*z.
-5*z*(z - 148)**2
Suppose -c**2 + 507*c - 1010 = 0. What is c?
2, 505
Factor 6*a**3/7 - 2490*a**2/7 + 708*a.
6*a*(a - 413)*(a - 2)/7
Let 9*y**4 + 25*y**3 - 15*y**2 - 25*y + 6 = 0. Calculate y.
-3, -1, 2/9, 1
Find l, given that l**5/4 - l**4/4 - 27*l**3/4 + 77*l**2/4 - 37*l/2 + 6 = 0.
-6, 1, 4
Find o such that 4*o**4 - 40*o**3 + 84*o**2 + 16*o - 112 = 0.
-1, 2, 7
Determine r so that 2*r**3/7 - 422*r**2/7 - 1712*r/7 - 1720/7 = 0.
-2, 215
Factor 2*c**3/7 - 12*c**2/7 + 22*c/7 - 12/7.
2*(c - 3)*(c - 2)*(c - 1)/7
Factor -50*l**3/13 + 40*l**2/13 - 8*l/13.
-2*l*(5*l - 2)**2/13
Let 5*a**5 + 20*a**4 - 15*a**3 - 50*a**2 + 40*a = 0. What is a?
-4, -2, 0, 1
Suppose -4*d**4/5 - 5*d**3 - 38*d**2/5 - 8*d/5 = 0. Calculate d.
-4, -2, -1/4, 0
Factor -5*n**3 + 60*n**2 + 1260*n + 4320.
-5*(n - 24)*(n + 6)**2
Determine w, given that w**3/2 + 29*w**2/2 - 88*w - 3630 = 0.
-22, 15
Let -4*r**4 + 6596*r**3 - 2722496*r**2 + 2715904*r = 0. Calculate r.
0, 1, 824
Find a, given that -2*a**4/3 - 4*a**3/3 + 32*a**2 = 0.
-8, 0, 6
Factor -4*d**3 + 68*d**2 - 248*d - 320.
-4*(d - 10)*(d - 8)*(d + 1)
Factor o**2/3 - 3438*o + 8864883.
(o - 5157)**2/3
Factor h**3/2 + 4*h**2 - 253*h/2 - 130.
(h - 13)*(h + 1)*(h + 20)/2
Solve -2*b**3/11 - 284*b**2/11 + 1160*b/11 - 1168/11 = 0.
-146, 2
Factor -2*k**2 - 38*k - 68.
-2*(k + 2)*(k + 17)
Find z, given that -2*z**2/3 + 68*z/3 + 70/3 = 0.
-1, 35
Determine u, given that -u**2/2 + 162*u + 326 = 0.
-2, 326
Factor h**3/6 - h**2 + 11*h/6 - 1.
(h - 3)*(h - 2)*(h - 1)/6
Suppose 2*q**2 - 16*q - 306 = 0. What is q?
-9, 17
Factor -p**4 - 3*p**3 + 4*p**2 + 12*p.
-p*(p - 2)*(p + 2)*(p + 3)
Factor 7*z**4 - 12*z**3 - 4*z**2.
z**2*(z - 2)*(7*z + 2)
Solve -78*q**3/5 + 176*q**2/5 + 202*q/5 - 84/5 = 0.
-14/13, 1/3, 3
Find s such that 6*s**4 + 117*s**3/2 + 331*s**2/3 + 82*s/3 - 44/3 = 0.
-22/3, -2, -2/3, 1/4
Find p, given that p**3 - 10*p**2 + 23*p - 14 = 0.
1, 2, 7
Suppose 5*w**4 + 2670*w**3 + 353765*w**2 - 715560*w + 359120 = 0. Calculate w.
-268, 1
Solve -w**5 + 221*w**4 - 12538*w**3 + 36298*w**2 - 35861*w + 11881 = 0.
1, 109
Find b such that b**4/6 - 10*b**3/3 + 23*b**2/2 - 41*b/3 + 16/3 = 0.
1, 2, 16
Solve -5*z**2 + 20340*z - 20685780 = 0.
2034
Factor -u**2/4 + 61*u/4 - 15.
-(u - 60)*(u - 1)/4
Solve -z**2/5 + 27*z/5 - 10 = 0.
2, 25
Solve 25*g**3 - 345*g**2 - 72*g + 28 = 0 for g.
-2/5, 1/5, 14
Factor -4*c**2/9 + 176*c/3 - 336.
-4*(c - 126)*(c - 6)/9
Factor -4*j**3 - 68*j**2 - 124*j - 60.
-4*(j + 1)**2*(j + 15)
Find n such that -5*n**3 + 17895*n**2 - 16020495*n + 16002605 = 0.
1, 1789
Determine p so that -14*p**4/3 - 76*p**3 + 58*p**2 + 68*p/3 = 0.
-17, -2/7, 0, 1
Let -2*d**3/3 - 5*d**2/3 - d = 0. Calculate d.
-3/2, -1, 0
What is m in 5*m**4 - 40*m**3 + 65*m**2 + 150*m - 360 = 0?
-2, 3, 4
Factor -m**2 + 12*m + 28.
-(m - 14)*(m + 2)
Solve -84*b**5 + 268*b**4 + 28*b**3 - 252*b**2 + 72*b = 0.
-1, 0, 1/3, 6/7, 3
Suppose 8*p**4/3 - 4*p**3 - 8*p**2/3 = 0. What is p?
-1/2, 0, 2
What is s in -2*s**4 - 12*s**3 - 18*s**2 - 8*s = 0?
-4, -1, 0
Factor 8*x**4 + 36*x**3 + 44*x**2 - 16.
4*(x + 1)*(x + 2)**2*(2*x - 1)
Let 4*i**3 + 780*i**2 + 50700*i + 1098500 = 0. What is i?
-65
Let -2*k**4/9 - 62*k**3/9 - 226*k**2/9 - 274*k/9 - 12 = 0. Calculate k.
-27, -2, -1
Factor -5*l**2 + 1330*l.
-5*l*(l - 266)
Factor -5*a**2 - 140*a - 260.
-5*(a + 2)*(a + 26)
Factor 2*k**4 - 2*k**3 - 6*k**2 + 10*k - 4.
2*(k - 1)**3*(k + 2)
Factor -11*s**2/6 + 2*s - 1/6.
-(s - 1)*(11*s - 1)/6
Find p, given that 20*p**3/3 + 62*p**2/3 + 2*p = 0.
-3, -1/10, 0
Find b such that -12*b**5 + 68*b**4 + 24*b**3 - 384*b**2 - 128*b = 0.
-2, -1/3, 0, 4
Suppose -10*b**5/9 - 58*b**4/9 + 14*b**3/3 + 194*b**2/9 + 80*b/9 - 8/3 = 0. Calculate b.
-6, -1, 1/5, 2
Factor -3*b**3 - 42*b**2 + 147*b - 102.
-3*(b - 2)*(b - 1)*(b + 17)
Factor -2*o**3/5 - 94*o**2/5 + 194*o/5 - 98/5.
-2*(o - 1)**2*(o + 49)/5
Factor -2*c**3 - 28*c**2 - 88*c - 80.
-2*(c + 2)**2*(c + 10)
Factor 2*u**3/9 + 16*u**2/9 + 40*u/9 + 32/9.
2*(u + 2)**2*(u + 4)/9
Suppose -13520*s**5 - 107640*s**4 - 266245*s**3 - 205960*s**2 + 8220*s - 80 = 0. What is s?
-4, -2, 1/52
Let b**4 + 13*b**3 - 140*b**2 = 0. What is b?
-20, 0, 7
Determine j, given that -30*j**5 + 36