 - 140*l**2 - 196*l.
-l*(l - 7)**2*(l + 2)**2
Determine r so that 3*r**3/8 - 81*r**2/8 + 75*r/4 = 0.
0, 2, 25
Find d such that 4*d**5 - 172*d**4 + 2764*d**3 - 20660*d**2 + 72800*d - 98000 = 0.
5, 14
Factor 3*j**3/5 + 9*j**2/5 - 84*j/5.
3*j*(j - 4)*(j + 7)/5
Suppose 2*j**3/11 - 34*j**2/11 - 8*j/11 + 136/11 = 0. What is j?
-2, 2, 17
Factor -5*d**2 - 95*d + 100.
-5*(d - 1)*(d + 20)
Factor -l**4/8 - l**3/2.
-l**3*(l + 4)/8
Find l, given that 15*l**4/2 - 1179*l**3/2 - 489*l**2/2 + 1179*l/2 + 237 = 0.
-1, -2/5, 1, 79
Let -3*t**3 - 195*t**2 - 1416*t - 2736 = 0. What is t?
-57, -4
Factor -99*f**2 + 95*f + 4.
-(f - 1)*(99*f + 4)
Suppose -2*s**4 - 24*s**3 - 42*s**2 - 20*s = 0. What is s?
-10, -1, 0
Let u**4/2 + u**3/2 - 8*u**2 - 8*u = 0. Calculate u.
-4, -1, 0, 4
Factor 2*n**3/11 - 1382*n**2/11 + 240800*n/11 - 710016/11.
2*(n - 344)**2*(n - 3)/11
Let 10*p**2 - 3402*p + 680 = 0. Calculate p.
1/5, 340
Factor -4*u**2/3 - 10016*u/3 - 6270016/3.
-4*(u + 1252)**2/3
Factor 2*q**3/15 + 26*q**2/15 + 4*q.
2*q*(q + 3)*(q + 10)/15
Factor -i**3 + 62*i**2 - 279*i - 342.
-(i - 57)*(i - 6)*(i + 1)
Factor 18*j**2 - 130*j - 552.
2*(j + 3)*(9*j - 92)
Determine g so that 3*g**4/4 - 63*g**3/4 + 117*g**2/4 - 57*g/4 = 0.
0, 1, 19
Let 5*v**2 + 285*v + 2860 = 0. Calculate v.
-44, -13
Factor -n**2/5 + 123*n/5 + 1474/5.
-(n - 134)*(n + 11)/5
Determine t, given that t**4/3 - t**3 + t**2/3 + t - 2/3 = 0.
-1, 1, 2
Factor -3*s**2/5 + 12/5.
-3*(s - 2)*(s + 2)/5
Factor 4*v**2 + 10752*v + 7225344.
4*(v + 1344)**2
Factor -3*c**3/4 - 9*c**2/4 + 33*c/2 + 18.
-3*(c - 4)*(c + 1)*(c + 6)/4
Factor p**4 + 9*p**3 + 21*p**2 + 19*p + 6.
(p + 1)**3*(p + 6)
Let -6*d**5/5 + 44*d**4/5 - 20*d**3 + 56*d**2/5 + 42*d/5 - 36/5 = 0. Calculate d.
-2/3, 1, 3
Determine r so that -2*r**5 - 8*r**4 + 20*r**2 + 2*r - 12 = 0.
-3, -2, -1, 1
Solve 3*y**4/8 + 21*y**3/8 + 15*y**2/8 - 21*y/8 - 9/4 = 0 for y.
-6, -1, 1
Suppose -2*d**3/3 - 18*d**2 = 0. What is d?
-27, 0
Solve 5*n**5 - 35*n**4 + 45*n**3 + 115*n**2 - 250*n + 120 = 0.
-2, 1, 3, 4
Factor -2*p**3 - 2488*p**2 - 771274*p + 1552516.
-2*(p - 2)*(p + 623)**2
Let -b**4 + 23*b**3 - 171*b**2 + 405*b = 0. What is b?
0, 5, 9
What is a in 7*a**2/3 - 1656*a - 1420/3 = 0?
-2/7, 710
Factor 2*j**2/5 + 3444*j/5 + 1482642/5.
2*(j + 861)**2/5
Factor 7*d**3 + 26*d**2 - 92*d + 24.
(d - 2)*(d + 6)*(7*d - 2)
Factor 25*l**3 - 215*l**2 + 260*l + 140.
5*(l - 7)*(l - 2)*(5*l + 2)
Factor 2*y**2 - 36*y.
2*y*(y - 18)
Solve -5*l**4 + 735*l**3 + 15*l**2 - 2195*l - 1470 = 0 for l.
-1, 2, 147
Let v**4 - 27*v**3 + 102*v**2 + 1088*v + 1536 = 0. What is v?
-3, -2, 16
Let -4*m**2 + 2240*m - 313600 = 0. Calculate m.
280
Find n, given that n**3/5 - 13*n**2/5 - 46*n/5 - 32/5 = 0.
-2, -1, 16
Find a, given that 2*a**5 + 4*a**4 - 10*a**3 - 12*a**2 = 0.
-3, -1, 0, 2
Let 5*z**5/2 + 45*z**4/2 + 65*z**3 + 60*z**2 = 0. Calculate z.
-4, -3, -2, 0
Factor -4*a**5/9 + 40*a**4/9.
-4*a**4*(a - 10)/9
What is m in -55*m**4/2 + 30*m**3 - 5*m**2/2 = 0?
0, 1/11, 1
Solve -r**5 + 19*r**4/3 + 53*r**3 - 55*r**2/3 = 0.
-5, 0, 1/3, 11
Solve -b**2/8 + 48*b - 4608 = 0 for b.
192
Let -4*b**2 + 44*b + 168 = 0. What is b?
-3, 14
Suppose -28*j**4 - 156*j**3 - 52*j**2 + 156*j + 80 = 0. What is j?
-5, -1, -4/7, 1
Factor -5*v**3 + 25*v**2 - 40*v + 20.
-5*(v - 2)**2*(v - 1)
Factor -3*r**3 + 21*r**2 + 24*r.
-3*r*(r - 8)*(r + 1)
Suppose 8*r**4/3 - 46*r**3/3 + 26*r**2 - 12*r = 0. Calculate r.
0, 3/4, 2, 3
Find y such that -3*y**3/5 - 183*y**2/5 - 3432*y/5 - 18252/5 = 0.
-26, -9
Factor 3*d**5 - 15*d**4 + 27*d**3 - 21*d**2 + 6*d.
3*d*(d - 2)*(d - 1)**3
Factor -4*q**2/3 - 98*q/9 - 16/9.
-2*(q + 8)*(6*q + 1)/9
Factor -4*t**3 + 16*t**2 + 556*t - 1144.
-4*(t - 13)*(t - 2)*(t + 11)
Factor -3*w**3 + 120*w**2 - 1311*w + 2166.
-3*(w - 19)**2*(w - 2)
Suppose -2*s**4 + 6*s**3 + 144*s**2 - 584*s + 576 = 0. Calculate s.
-9, 2, 8
Factor 2*t**4 - 8*t**3 - 58*t**2 - 48*t.
2*t*(t - 8)*(t + 1)*(t + 3)
Factor -n**5 - 5*n**4 - 3*n**3 + 9*n**2.
-n**2*(n - 1)*(n + 3)**2
Find r such that r**4 - 3*r**3 - 5*r**2 + 3*r + 4 = 0.
-1, 1, 4
Factor -d**2/5 - 4*d/5 + 21/5.
-(d - 3)*(d + 7)/5
Let 4*s**4 - 8*s**3 - 28*s**2 + 80*s - 48 = 0. What is s?
-3, 1, 2
Find j, given that -3*j**2/8 - 243*j = 0.
-648, 0
Suppose 25*o**4 + 40*o**3 - 545*o**2 + 660*o - 180 = 0. What is o?
-6, 2/5, 1, 3
Solve -2*s**4/11 - 10*s**3/11 + 48*s**2/11 - 8*s/11 - 64/11 = 0.
-8, -1, 2
Factor -17*r**3/3 + 8*r**2/3 + 17*r/3 - 8/3.
-(r - 1)*(r + 1)*(17*r - 8)/3
Factor 5*o**5 - 145*o**4 + 1490*o**3 - 6210*o**2 + 8505*o - 3645.
5*(o - 9)**3*(o - 1)**2
Suppose -2*v**3/5 - 166*v**2/5 - 1348*v/5 - 1184/5 = 0. What is v?
-74, -8, -1
Factor -2*z**2/7 - 184*z/7.
-2*z*(z + 92)/7
Let -4*m**2/7 - 312*m/7 = 0. What is m?
-78, 0
Factor d**4/3 + 10*d**3/3 + 8*d**2 - 10*d/3 - 25/3.
(d - 1)*(d + 1)*(d + 5)**2/3
Determine d so that -5*d**2 + 1890*d - 178605 = 0.
189
Suppose -9*v**4 + 69*v**3 - 129*v**2 + 39*v + 30 = 0. What is v?
-1/3, 1, 2, 5
Solve -b**3 - 14*b**2 - 21*b + 36 = 0 for b.
-12, -3, 1
Determine j, given that 6*j**3/11 + 18*j**2 + 378*j/11 + 186/11 = 0.
-31, -1
Find r such that 3*r**2 + 11154*r + 10367643 = 0.
-1859
Determine l, given that 6*l**4 - 106*l**3 - 276*l**2 - 80*l = 0.
-2, -1/3, 0, 20
Let -132*q**2/5 - 4*q/5 = 0. Calculate q.
-1/33, 0
Factor -w**3/5 - 89*w**2/5 + 245*w + 1313/5.
-(w - 13)*(w + 1)*(w + 101)/5
Find u such that 2*u**4/17 - 12*u**3/17 + 10*u**2/17 + 48*u/17 - 72/17 = 0.
-2, 2, 3
Suppose -297*v**5 + 1182*v**4 - 867*v**3 - 1206*v**2 + 1164*v + 24 = 0. Calculate v.
-1, -2/99, 1, 2
Solve 11*m**4 - 31*m**3 + 16*m**2 + 4*m = 0.
-2/11, 0, 1, 2
Factor -61*o**2 + 431*o - 28.
-(o - 7)*(61*o - 4)
Find x, given that -5*x**3 - 8445*x**2 - 4754535*x - 892267735 = 0.
-563
Factor -t**3/2 + 49*t**2/2 - 24*t.
-t*(t - 48)*(t - 1)/2
Factor -n**2/10 + 459*n/10 - 229/5.
-(n - 458)*(n - 1)/10
Determine g, given that 4*g**2 + 64*g + 252 = 0.
-9, -7
Factor 4*r**2 + 1724*r.
4*r*(r + 431)
Factor v**4 + 8*v**3 + 18*v**2 + 16*v + 5.
(v + 1)**3*(v + 5)
Factor -4*i**2 + 192*i + 400.
-4*(i - 50)*(i + 2)
Determine l so that -20*l**5 + 608*l**4 - 1920*l**3 + 2312*l**2 - 1196*l + 216 = 0.
2/5, 1, 27
Factor 4*v**3 - 284*v**2 - 2824*v - 4480.
4*(v - 80)*(v + 2)*(v + 7)
Suppose -z**2 - 15110*z - 57078025 = 0. Calculate z.
-7555
Factor -5*k**3 + 190*k**2 + 5*k - 190.
-5*(k - 38)*(k - 1)*(k + 1)
Determine n, given that 2*n**3/13 - 34*n**2/13 - 2*n/13 + 34/13 = 0.
-1, 1, 17
Solve 40*f**5 + 100*f**4 - 750*f**3 + 675*f**2 + 675*f - 810 = 0.
-6, -1, 3/2
Factor 2*w**3/3 - 98*w**2/3 - 674*w/3 + 770/3.
2*(w - 55)*(w - 1)*(w + 7)/3
Factor -3*c**3 + 24*c**2 + 132*c + 144.
-3*(c - 12)*(c + 2)**2
Solve 2*x**3/3 - 1051*x**2/3 + 524*x/3 + 175 = 0 for x.
-1/2, 1, 525
Factor o**2/5 - 21*o/5 + 38/5.
(o - 19)*(o - 2)/5
Factor 9*c**2/4 + 11*c/4 + 1/2.
(c + 1)*(9*c + 2)/4
Factor q**5/6 + 17*q**4/6 + 40*q**3/3 + 32*q**2/3.
q**2*(q + 1)*(q + 8)**2/6
Let 2*h**5 + 8*h**4 - 12*h**3 - 8*h**2 + 10*h = 0. Calculate h.
-5, -1, 0, 1
Find z such that -4*z**4/3 - 236*z**3 - 468*z**2 - 700*z/3 = 0.
-175, -1, 0
Factor -z**3/5 + 11*z**2/5 - 7*z/5 - 147/5.
-(z - 7)**2*(z + 3)/5
Factor 10*t**3/7 - 74*t**2/7 - 136*t + 56.
2*(t - 14)*(t + 7)*(5*t - 2)/7
What is w in 5*w**2 - 30*w - 455 = 0?
-7, 13
What is z in -5*z**3 + 760*z**2 + 1535*z + 770 = 0?
-1, 154
What is m in -30*m**3/7 - 76*m**2/7 - 32*m/7 = 0?
-2, -8/15, 0
Find t such that 27*t**4 + 165*t**3 - 9*t**2 - 165*t - 18 = 0.
-6, -1, -1/9, 1
Determine w, given that 2*w**4/5 + 6*w**3/5 - 2*w**2/5 - 6*w/5 = 0.
-3, -1, 0, 1
What is s in -2*s**5/11 - 6*s**4/11 + 8*s**2/11 = 0?
-2, 0, 1
Factor 75*w**4 + 1080*w**3 + 5538*w**2 + 11880*w + 9075.
3*(w + 5)**2*(5*w + 11)**2
Solve i**4 + 30*i**3 + 16*i**2 - 3360*i + 6400 = 0.
-20, 2, 8
Let -9*m**3 - 51*m**2 + 96*m + 84 = 0. What is m?
-7, -2/3, 2
Find p, given that -3*p**4/4 - 27*p**3/4 - 21*p**2 - 27*p - 12 = 0.
-4, -2, -1
Solve -5*m**4 + 85*m**3 + 115*m**2 - 465*m + 270 = 0 for m.
-3, 1, 18
Find r such that -r**3 - 23*r**2 + 49*r - 25 = 0.
-25, 1
Factor -2*z**2 - 344*z.
-2*z*(z + 172)
Solve -w**3/4 + w**2/4 + 850*w - 19363 = 0 for w.
-67, 34
Let 5*j**4/9 + 4*j**3/9 - 31*j**2/9 + 2*j/3 = 0. What is j?
-3, 0, 1/5, 2
Let -4*d**4/7 + 36*d**3/7 + 60*d**2/7 - 212*d/7 + 120/7 = 0. What is d?
-3, 1, 10
Let 4*b**5 + 100*b**4 + 668*b**3 + 476*b**2 - 672*b - 576 = 