= 0.
2, 38
Factor 5*r**4 + 7*r**3 - 28*r**2 - 12*r.
r*(r - 2)*(r + 3)*(5*r + 2)
Suppose -3*u**3/8 - 27*u**2/2 - 243*u/2 = 0. Calculate u.
-18, 0
Solve 2*m**3/19 + 10*m**2/19 - 12*m/19 = 0 for m.
-6, 0, 1
Solve 2*z**5 - 18*z**4 + 44*z**3 - 12*z**2 - 46*z + 30 = 0 for z.
-1, 1, 3, 5
Let -2*b**2/7 + 138*b/7 - 2376/7 = 0. What is b?
33, 36
Suppose 2*g**5/3 - 98*g**4/3 - 34*g**3 + 98*g**2/3 + 100*g/3 = 0. Calculate g.
-1, 0, 1, 50
Factor 4*f**5 + 12*f**4 + 4*f**3 - 12*f**2 - 8*f.
4*f*(f - 1)*(f + 1)**2*(f + 2)
Factor -5*d**5 - 5265*d**4 - 1383375*d**3 + 1388645*d**2.
-5*d**2*(d - 1)*(d + 527)**2
Solve -4*s**5/7 + 8*s**4/7 + 8*s**3/7 - 16*s**2/7 - 4*s/7 + 8/7 = 0 for s.
-1, 1, 2
Factor 2*z**4/15 + 262*z**3/15 - 106*z**2/3 + 266*z/15.
2*z*(z - 1)**2*(z + 133)/15
Find f such that 3*f**5/5 + 21*f**4/5 + 54*f**3/5 + 12*f**2 + 24*f/5 = 0.
-2, -1, 0
Suppose -5*b**5 + 10*b**4 + 20*b**3 - 10*b**2 - 15*b = 0. Calculate b.
-1, 0, 1, 3
Factor 2*q**4 - 24*q**3 - 24*q**2 + 320*q - 384.
2*(q - 12)*(q - 2)**2*(q + 4)
Factor -2*i**2 - 2656*i - 881792.
-2*(i + 664)**2
Suppose -2*n**5 - 68*n**4 - 632*n**3 - 2480*n**2 - 4352*n - 2816 = 0. Calculate n.
-22, -4, -2
Factor -4*p**2 + 7336*p + 7340.
-4*(p - 1835)*(p + 1)
Factor -2*g**2/7 + 1966*g/7.
-2*g*(g - 983)/7
Factor 2*i**3 + 66*i**2 + 94*i - 930.
2*(i - 3)*(i + 5)*(i + 31)
Suppose 5*m**2 + 5585*m + 5580 = 0. What is m?
-1116, -1
Suppose 4*o**4 - 56*o**3 + 180*o**2 - 208*o + 80 = 0. What is o?
1, 2, 10
Determine p so that -5*p**4 - 15*p**3 + 30*p**2 + 140*p + 120 = 0.
-2, 3
Suppose p**4/3 - 17*p**3/3 - 64*p**2/3 + 80*p/3 = 0. What is p?
-4, 0, 1, 20
Let -3*f**4 + 18*f**3 + 180*f**2 + 408*f + 288 = 0. What is f?
-2, 12
Solve -d**5/6 + 2*d**4 - 9*d**3 + 18*d**2 - 27*d/2 = 0.
0, 3
Factor 4*s**2/17 + 3738*s/17 + 1868/17.
2*(s + 934)*(2*s + 1)/17
Determine j, given that 3*j**3 + 90*j**2 + 81*j - 174 = 0.
-29, -2, 1
Let -15*s**5 + 25*s**4 + 190*s**3 + 270*s**2 + 145*s + 25 = 0. What is s?
-1, -1/3, 5
What is h in -3*h**3 + 435*h**2 - 15984*h + 15552 = 0?
1, 72
Factor s**3 + 12*s**2 + 41*s + 42.
(s + 2)*(s + 3)*(s + 7)
Factor o**3/7 - 12282*o**2/7 + 50282508*o/7 - 68618862584/7.
(o - 4094)**3/7
Solve -s**5 - 972*s**4 - 237165*s**3 - 470450*s**2 = 0.
-485, -2, 0
Find l, given that -2*l**3/3 + 50*l**2 - 324*l + 1360/3 = 0.
2, 5, 68
Factor -2*f**2/9 - 380*f/9 - 18050/9.
-2*(f + 95)**2/9
What is v in 3*v**4 - 42*v**3 - 747*v**2 - 1902*v - 1200 = 0?
-8, -2, -1, 25
Factor -98*a**3/5 + 14*a**2 + 96*a/5 - 72/5.
-2*(a + 1)*(7*a - 6)**2/5
Solve q**4/4 + 269*q**3/4 + 4556*q**2 + 4489*q = 0 for q.
-134, -1, 0
Solve -26*k**2 + 16*k - 32/13 = 0.
4/13
Factor -3*k**4 + 144*k**3 - 1728*k**2.
-3*k**2*(k - 24)**2
Let -2*v**4/9 + 4*v**3/3 + 16*v**2/3 + 52*v/9 + 2 = 0. What is v?
-1, 9
Find d such that -4*d**5/5 + 26*d**4/5 + 10*d**3 - 2*d**2 - 46*d/5 - 16/5 = 0.
-1, -1/2, 1, 8
What is x in 2*x**2/11 - 916*x/11 + 104882/11 = 0?
229
Factor -s**2/8 + 9*s/8 + 11/4.
-(s - 11)*(s + 2)/8
Factor 3*r**4/4 + 6*r**3 - 315*r**2/4.
3*r**2*(r - 7)*(r + 15)/4
Suppose 6*f**2 - 339*f - 171 = 0. What is f?
-1/2, 57
Let 6*a**3/11 - 4*a**2/11 - 38*a/11 - 12/11 = 0. Calculate a.
-2, -1/3, 3
Factor x**2 - 166*x + 6889.
(x - 83)**2
Factor 5*i**3 - 4*i**2 - i.
i*(i - 1)*(5*i + 1)
Factor -9*w**3 - 2181*w**2 - 132495*w - 43923.
-3*(w + 121)**2*(3*w + 1)
Factor 3*w**4/4 + 23*w**3/2 + 55*w**2 + 66*w - 72.
(w + 4)*(w + 6)**2*(3*w - 2)/4
Find o such that 5*o**2 + 65*o - 340 = 0.
-17, 4
Suppose -3*r**5/2 - 27*r**4 - 291*r**3/2 - 216*r**2 - 96*r = 0. Calculate r.
-8, -1, 0
Factor 50*v**4/3 - 154*v**3/3 + 54*v**2 - 62*v/3 + 4/3.
2*(v - 1)**3*(25*v - 2)/3
Factor -o**5/4 - 9*o**4/4 - 2*o**3.
-o**3*(o + 1)*(o + 8)/4
Factor -3*s**2 - 10788*s - 9698412.
-3*(s + 1798)**2
Solve 28*j**3 - 4*j**2 - 5*j = 0 for j.
-5/14, 0, 1/2
Solve o**2 + 44*o + 288 = 0.
-36, -8
Suppose -4*l**5 - 12*l**4 + 44*l**3 + 12*l**2 - 40*l = 0. Calculate l.
-5, -1, 0, 1, 2
Factor 2*i**3/9 - 584*i**2/9 - 1766*i/9 - 1180/9.
2*(i - 295)*(i + 1)*(i + 2)/9
Factor -r**3/2 - 19*r**2/10 - 11*r/10 + 3/10.
-(r + 1)*(r + 3)*(5*r - 1)/10
Factor -j**4/10 + 1571*j**3/5 - 2474317*j**2/10 + 4929798*j/5 - 4923522/5.
-(j - 1569)**2*(j - 2)**2/10
Find z such that 2*z**5/13 - 18*z**4/13 + 42*z**3/13 - 38*z**2/13 + 12*z/13 = 0.
0, 1, 6
Let 11*b**4 - 129*b**3/4 + 22*b**2 - 3*b = 0. Calculate b.
0, 2/11, 3/4, 2
Factor a**4/2 - 3*a**3 - 27*a**2/2 + 54*a + 162.
(a - 6)**2*(a + 3)**2/2
Determine v so that v**5/4 - 5*v**4/2 - 30*v**3 - 100*v**2 - 140*v - 72 = 0.
-2, 18
Let 4*g**2 + 16*g - 20 = 0. What is g?
-5, 1
Factor i**4/2 + 9*i**3/2 - 3*i**2/2 - 29*i/2 - 9.
(i - 2)*(i + 1)**2*(i + 9)/2
Factor -r**4 - 272*r**3 + 274*r**2 + 272*r - 273.
-(r - 1)**2*(r + 1)*(r + 273)
Factor -2*t**5/13 - 36*t**4/13 - 66*t**3/13 - 32*t**2/13.
-2*t**2*(t + 1)**2*(t + 16)/13
Suppose -m**5 - m**4 + m**3 + m**2 = 0. Calculate m.
-1, 0, 1
Solve 5*q**3 + 815*q**2 + 1610*q = 0.
-161, -2, 0
Suppose 3*z**3/7 + 45*z**2/7 - 282*z/7 + 360/7 = 0. Calculate z.
-20, 2, 3
Factor 2*y**3/7 + 296*y**2/7 - 598*y/7 + 300/7.
2*(y - 1)**2*(y + 150)/7
Factor c**2 + 98*c + 2401.
(c + 49)**2
Factor -362*s**2/17 + 364*s/17 - 2/17.
-2*(s - 1)*(181*s - 1)/17
Factor -16*k**3 + 68*k**2 + 1724*k + 1248.
-4*(k - 13)*(k + 8)*(4*k + 3)
Find v, given that v**5/4 + 9*v**4/4 + 15*v**3/4 - 29*v**2/4 - 18*v - 9 = 0.
-6, -3, -1, 2
Let -r**3 - 6*r**2 + r + 6 = 0. Calculate r.
-6, -1, 1
Let 4*l**2 + 352*l - 1092 = 0. What is l?
-91, 3
Factor -2*g**2/3 - 10*g - 36.
-2*(g + 6)*(g + 9)/3
Determine p, given that -4*p**4 - 8*p**3 + 12*p**2 = 0.
-3, 0, 1
Find m such that m**2 + m - 56 = 0.
-8, 7
Find y such that 2*y**2/17 + 7464*y/17 + 6963912/17 = 0.
-1866
Factor q**2 + 65*q + 300.
(q + 5)*(q + 60)
What is c in -2*c**5 + 6*c**3 - 4*c**2 = 0?
-2, 0, 1
Let 9*m**5 + 21*m**4 - 27*m**3 - 21*m**2 + 18*m = 0. What is m?
-3, -1, 0, 2/3, 1
Let -12*x**4 + 27*x**3 + 54*x**2 - 87*x + 18 = 0. What is x?
-2, 1/4, 1, 3
Factor -12*n**2 + 44*n/3 - 8/3.
-4*(n - 1)*(9*n - 2)/3
Let -q**4 + 18*q**3 + q**2 - 18*q = 0. Calculate q.
-1, 0, 1, 18
Determine u so that 4*u**5/3 + 4*u**4 - 8*u**3/3 - 16*u**2 - 32*u/3 = 0.
-2, -1, 0, 2
Determine u, given that -2*u**2 + 34*u + 36 = 0.
-1, 18
Factor b**4/3 - 53*b**3/3 + 51*b**2 - 151*b/3 + 50/3.
(b - 50)*(b - 1)**3/3
What is m in 8*m**5 + 142*m**4 - 188*m**3 + 38*m**2 = 0?
-19, 0, 1/4, 1
Suppose -3*r**2 + 111*r - 210 = 0. What is r?
2, 35
Determine q so that 878080*q**3 + 1740480*q**2 + 1149960*q + 253265 = 0.
-37/56
Suppose -6*z**3 - 2462*z**2 - 816*z + 1640 = 0. Calculate z.
-410, -1, 2/3
Factor q**2/5 - 28*q/5 + 196/5.
(q - 14)**2/5
Determine x so that x**2/6 + 908*x + 1236696 = 0.
-2724
Factor -3*o**3 - 117*o**2 - 1080*o + 1200.
-3*(o - 1)*(o + 20)**2
Determine l, given that 2*l**2/3 - 20*l + 58/3 = 0.
1, 29
Factor k**5/6 - k**4/6 - k**3/3 + k**2/3 + k/6 - 1/6.
(k - 1)**3*(k + 1)**2/6
Determine p so that 56*p**5 - 26*p**4 - 26*p**3 - 4*p**2 = 0.
-2/7, -1/4, 0, 1
What is b in -2*b**4 + 680*b**3 - 86700*b**2 + 4913000*b - 104401250 = 0?
85
Solve 5*a**4/3 - 73*a**3/3 + 205*a**2/3 - 71*a/3 - 22 = 0 for a.
-2/5, 1, 3, 11
Solve -3*w**5 - 84*w**4 - 837*w**3 - 3576*w**2 - 6420*w - 3600 = 0.
-10, -4, -3, -1
Let d**4/5 + 2*d**3/5 + d**2/5 = 0. Calculate d.
-1, 0
Factor w**3/6 - 14*w**2 + 539*w/6.
w*(w - 77)*(w - 7)/6
Factor -2*m**5/7 - 8*m**4/7 - 8*m**3/7.
-2*m**3*(m + 2)**2/7
Factor 4*s**2 + 8368*s + 4376464.
4*(s + 1046)**2
Suppose -2*m**4/7 - 48*m**3/7 + 512*m**2/7 = 0. Calculate m.
-32, 0, 8
Factor 2*j**2/15 + 1552*j/15 + 1546/5.
2*(j + 3)*(j + 773)/15
Determine a so that -2*a**3/5 + 14*a**2/5 + 4*a - 32/5 = 0.
-2, 1, 8
Let -z**5 + 101*z**4 - 923*z**3 + 1123*z**2 + 5424*z + 3276 = 0. What is z?
-1, 6, 91
Find g, given that -2*g**3/9 - 20*g**2/9 + 350*g/9 - 1000/9 = 0.
-20, 5
What is j in -2*j**2 - 2460*j + 4928 = 0?
-1232, 2
Factor -1922*r**2/7 - 17856*r/7 - 41472/7.
-2*(31*r + 144)**2/7
Suppose -u**3 + 13*u**2 - 22*u = 0. What is u?
0, 2, 11
Determine g so that -g**2/5 + 27*g/5 = 0.
0, 27
Factor 2*l**4/3 - 4*l**3/3 - 16*l**2/3.
2*l**2*(l - 4)*(l + 2)/3
Factor 2*x**2/13 - 28*x/13 + 66/13.
2*(x - 11)*(x - 3)/13
Factor 2*l**3 + 282*l**2 - 284*l.
2*l*(l - 1)*(l + 142)
Determine i so that 2*i**5/5 + 8*i**4/5 + 2*i**3/5 - 12*i**2/5 = 0.
-3, -2, 0, 1
Factor -5*l**2/4 + 5*l/2 + 175/4.