+ 448*z**2 - 392*z.
2*z*(z - 14)**2*(z - 1)
Factor 25*q**4 + 90*q**3 + 60*q**2 - 40*q.
5*q*(q + 2)**2*(5*q - 2)
Find l, given that -4*l**5/5 - 12*l**4/5 + 36*l**3/5 - 4*l**2 = 0.
-5, 0, 1
Factor -s**2/7 - 348*s/7 - 347/7.
-(s + 1)*(s + 347)/7
Factor c**2 - 5*c + 6.
(c - 3)*(c - 2)
Factor -l**3 - 123*l**2 - 5043*l - 68921.
-(l + 41)**3
Solve x**3/4 - x**2/2 + x/4 = 0 for x.
0, 1
Find v such that -v**5 - 818*v**4 - 221943*v**3 - 19672378*v**2 + 81607612*v - 61712472 = 0.
-274, 1, 3
Find i, given that -3*i**3 + 102*i**2 + 105*i = 0.
-1, 0, 35
Factor 2*h**5 + 30*h**4 + 112*h**3 - 144*h**2 - 864*h + 864.
2*(h - 2)*(h - 1)*(h + 6)**3
Find r such that 3*r**4 + 15*r**3 - 21*r**2 - 15*r + 18 = 0.
-6, -1, 1
Factor -5*g**4/4 - 5*g**3/2 - 5*g**2/4.
-5*g**2*(g + 1)**2/4
Solve -3*n**5/7 + 885*n**4/7 + 897*n**3/7 - 2661*n**2/7 - 894*n/7 + 1776/7 = 0.
-2, -1, 1, 296
Let 5*f**3 + 750*f**2 - 1515*f + 760 = 0. Calculate f.
-152, 1
Solve 6*w**5/7 - 30*w**4/7 + 6*w**3 - 18*w**2/7 = 0 for w.
0, 1, 3
Factor r**2/3 - 506*r/3 + 64009/3.
(r - 253)**2/3
Factor -5*f**3/6 + f**2/3 + 10*f/3 - 4/3.
-(f - 2)*(f + 2)*(5*f - 2)/6
Factor 4*z**4 - 96*z**3 - 100*z**2.
4*z**2*(z - 25)*(z + 1)
Suppose -3*h**2 - 186*h - 2883 = 0. Calculate h.
-31
Find y, given that -65*y**3/3 + 136*y**2/3 - 4*y/3 - 16/3 = 0.
-4/13, 2/5, 2
Find r, given that -4*r**3 + 12*r**2 + 160*r - 336 = 0.
-6, 2, 7
Find k such that -210*k**5 - 1595*k**4 - 4250*k**3 - 4625*k**2 - 1740*k - 180 = 0.
-3, -2, -3/7, -1/6
Determine f so that -2*f**4/7 - 132*f**3/7 + 270*f**2/7 - 136*f/7 = 0.
-68, 0, 1
Let -3*n**4 + 54*n**3 - 225*n**2 + 78*n + 360 = 0. Calculate n.
-1, 2, 5, 12
Factor 2*l**4/5 + 14*l**3/5 + 22*l**2/5 + 2*l.
2*l*(l + 1)**2*(l + 5)/5
Factor 2*l**2/17 + 1026*l/17.
2*l*(l + 513)/17
Solve 2*q**4/9 - 2*q**3/9 - 2*q**2 - 22*q/9 - 8/9 = 0 for q.
-1, 4
Factor 4*s**5 - 28*s**4 - 12*s**3 + 172*s**2 + 248*s + 96.
4*(s - 6)*(s - 4)*(s + 1)**3
Find p, given that 3*p**5 + 6*p**4 - 99*p**3 + 66*p**2 + 168*p = 0.
-7, -1, 0, 2, 4
Factor 2*n**3/5 - 6*n**2/5 - 4*n + 48/5.
2*(n - 4)*(n - 2)*(n + 3)/5
Find y, given that -1960*y**4 - 73885*y**3 - 301440*y**2 - 154340*y - 21200 = 0.
-265/8, -4, -2/7
Find y such that -4*y**4 + 4*y**3 + 76*y**2 + 44*y - 120 = 0.
-3, -2, 1, 5
Factor -n**2/2 + 20*n - 72.
-(n - 36)*(n - 4)/2
Factor x**4 + 39*x**3 + 37*x**2 - 39*x - 38.
(x - 1)*(x + 1)**2*(x + 38)
Find s, given that 470*s**2/7 - 342*s/7 + 36/7 = 0.
6/47, 3/5
Suppose 4*d**5 + 32*d**4 + 76*d**3 + 32*d**2 - 80*d - 64 = 0. Calculate d.
-4, -2, -1, 1
Determine g so that g**4/2 + 5*g**3/2 - 15*g**2/2 - 5*g/2 + 7 = 0.
-7, -1, 1, 2
Factor -s**3 + 16*s**2 - 77*s + 98.
-(s - 7)**2*(s - 2)
Factor 38*k**3/7 + 74*k**2/7 + 36*k/7.
2*k*(k + 1)*(19*k + 18)/7
Find d such that -d**3/3 - 16*d**2 - 175*d + 1250/3 = 0.
-25, 2
Factor -245*r**3 - 10920*r**2 - 6180*r - 880.
-5*(r + 44)*(7*r + 2)**2
Determine y so that 20*y**5 - 100*y**4 - 35*y**3 + 490*y**2 = 0.
-2, 0, 7/2
Factor 14*r**3/3 + 1172*r**2/3 - 6566*r/3 + 1780/3.
2*(r - 5)*(r + 89)*(7*r - 2)/3
Factor 2*c**2/3 + 110*c/3 + 196.
2*(c + 6)*(c + 49)/3
Factor -2*f**2/11 + 26*f + 5088/11.
-2*(f - 159)*(f + 16)/11
Solve 3*s**4/2 - 99*s**3/4 + 189*s**2/4 + 480*s + 225 = 0.
-3, -1/2, 10
Suppose -k**2/7 + 124*k/7 + 1485/7 = 0. Calculate k.
-11, 135
Factor -q**3/9 + q**2/9 + 2*q/9.
-q*(q - 2)*(q + 1)/9
Find i such that i**2 - 68*i + 427 = 0.
7, 61
What is f in -f**2/3 + 4514*f/9 - 3008/9 = 0?
2/3, 1504
Determine x, given that 4*x**2 - 552*x + 19044 = 0.
69
Factor -9*y**4 + 21*y**3 - 12*y.
-3*y*(y - 2)*(y - 1)*(3*y + 2)
Determine d so that -4*d**3/9 - 766*d**2/9 - 382*d/9 = 0.
-191, -1/2, 0
Factor 2*z**3 + 4836*z**2 + 3897816*z + 1047213232.
2*(z + 806)**3
Factor 2*s**2 - 68*s - 480.
2*(s - 40)*(s + 6)
Solve -3*d**4 - 69*d**3/7 + 192*d**2/7 + 564*d/7 + 144/7 = 0 for d.
-4, -2, -2/7, 3
Factor 2*o**3 + 126*o**2 + 2160*o + 5400.
2*(o + 3)*(o + 30)**2
Find z, given that -3*z**5/2 + 221*z**4/2 + 44*z**3 - 516*z**2 - 152*z + 296 = 0.
-2, -1, 2/3, 2, 74
Determine z so that z**5/5 - 9*z**4/5 - 52*z**3/5 = 0.
-4, 0, 13
Factor x**2/3 + 740*x/3 + 136900/3.
(x + 370)**2/3
Solve 7*q**3/5 - 727*q**2/5 + 617*q/5 + 103/5 = 0.
-1/7, 1, 103
Factor 2*o**2/7 + 4978*o/7.
2*o*(o + 2489)/7
Suppose 2*c**2 - 712*c + 2118 = 0. Calculate c.
3, 353
Factor 3*t**3 + 30*t**2 - 33*t.
3*t*(t - 1)*(t + 11)
What is o in 6*o**3/11 + 312*o**2/11 + 894*o/11 + 588/11 = 0?
-49, -2, -1
Determine k, given that 630*k**4 - 789*k**3 + 139*k**2 + 24*k - 4 = 0.
-1/6, 2/15, 2/7, 1
Solve 4320*j**4 - 3568*j**3 + 846*j**2 - 24*j - 8 = 0.
-2/27, 1/4, 2/5
Factor -4*l**2 + 8*l - 4.
-4*(l - 1)**2
Determine c so that 3*c**5/5 + 108*c**4/5 + 1074*c**3/5 + 1836*c**2/5 + 867*c/5 = 0.
-17, -1, 0
Factor 3*f**5 - 3*f**4 - 18*f**3 + 12*f**2 + 24*f.
3*f*(f - 2)**2*(f + 1)*(f + 2)
Factor -2*y**3 + 6*y**2 + 20*y.
-2*y*(y - 5)*(y + 2)
Factor -3*h**2 - 33330*h - 92574075.
-3*(h + 5555)**2
Factor -4*u**4 + 80*u**3 + 172*u**2 + 88*u.
-4*u*(u - 22)*(u + 1)**2
Factor -2*g**4/7 + 8*g**3 - 488*g**2/7 + 192*g - 1152/7.
-2*(g - 12)**2*(g - 2)**2/7
Solve -4*d**3/7 + 3432*d**2/7 - 736164*d/7 = 0 for d.
0, 429
Factor 2*n**4/7 + 6*n**3/7 - 2*n**2/7 - 6*n/7.
2*n*(n - 1)*(n + 1)*(n + 3)/7
Factor -3*p**3/2 + 99*p**2/2 - 432*p + 384.
-3*(p - 16)**2*(p - 1)/2
Factor 3*w**2 - 27*w + 42.
3*(w - 7)*(w - 2)
Factor -5*q**2/4 - 155*q/4.
-5*q*(q + 31)/4
Factor -1365*g**2 - 5466*g - 24.
-3*(g + 4)*(455*g + 2)
Find f such that -5*f**5 - 275*f**4 - 4695*f**3 - 30385*f**2 - 62260*f - 36300 = 0.
-30, -11, -2, -1
What is u in 10*u**5 - 65*u**4 + 90*u**3 = 0?
0, 2, 9/2
What is h in -126*h**4 + 132*h**3 - 8*h**2 - 16*h = 0?
-2/7, 0, 2/3
Let b**4/4 - 21*b**3/2 + 118*b**2 - 120*b - 800 = 0. What is b?
-2, 4, 20
Factor -y**3/5 - 8*y**2/5 + y/5 + 8/5.
-(y - 1)*(y + 1)*(y + 8)/5
Factor -5*v**4 + 55*v**3 - 195*v**2 + 225*v.
-5*v*(v - 5)*(v - 3)**2
Solve l**2/3 - 76*l/3 - 352 = 0.
-12, 88
Let -2*l**4/19 - 136*l**3/19 - 2676*l**2/19 - 12152*l/19 - 9610/19 = 0. Calculate l.
-31, -5, -1
Factor 2*p**4 - 488*p**3 - 490*p**2.
2*p**2*(p - 245)*(p + 1)
Factor 15*l**4 - 57*l**3 + 66*l**2 - 24*l.
3*l*(l - 2)*(l - 1)*(5*l - 4)
Suppose 4*w**4/3 + 76*w**3 + 3133*w**2/3 - 1102*w + 841/3 = 0. Calculate w.
-29, 1/2
What is i in i**4/3 - 19*i**3/3 - 167*i**2/3 - 127*i - 78 = 0?
-3, -1, 26
Factor 4*p**2 + 20*p + 24.
4*(p + 2)*(p + 3)
Solve -2*u**3/11 + 8*u**2/11 - 2*u/11 - 12/11 = 0 for u.
-1, 2, 3
Solve 6*k**5/5 - 16*k**4/5 + 2*k**3/5 + 16*k**2/5 - 8*k/5 = 0 for k.
-1, 0, 2/3, 1, 2
Factor 5*y**4 + 700*y**3 + 23055*y**2 - 101520*y + 77760.
5*(y - 3)*(y - 1)*(y + 72)**2
Factor 3*s**3 + 81*s**2 + 222*s + 144.
3*(s + 1)*(s + 2)*(s + 24)
Factor 4*h**5 - 16*h**3 + 8*h**2 + 12*h - 8.
4*(h - 1)**3*(h + 1)*(h + 2)
Factor 2*m**3 + 748*m**2 - 1502*m + 752.
2*(m - 1)**2*(m + 376)
Find n, given that -4*n**5/9 + 4*n**4/9 + 28*n**3/3 - 4*n**2/9 - 80*n/9 = 0.
-4, -1, 0, 1, 5
Factor -3*c**5 + 6*c**4 - 3*c**3.
-3*c**3*(c - 1)**2
Find a such that -3*a**2/8 - 99*a/8 + 51/4 = 0.
-34, 1
Factor -5*q**2/2 + 35*q + 255/2.
-5*(q - 17)*(q + 3)/2
Let -90*r**4 + 363*r**3 - 462*r**2 + 195*r - 6 = 0. What is r?
1/30, 1, 2
Factor 4*c**3 + 36*c**2 + 104*c + 96.
4*(c + 2)*(c + 3)*(c + 4)
Factor -2*o**2 - 16*o - 32.
-2*(o + 4)**2
Suppose -162*c**4/7 + 954*c**3/7 - 1760*c**2/7 + 968*c/7 = 0. What is c?
0, 1, 22/9
Factor 5*v**2/4 - 125*v/4 + 30.
5*(v - 24)*(v - 1)/4
What is x in 5*x**2 - 5*x = 0?
0, 1
Determine h, given that 48*h**3 - 44*h**2 - 100*h - 8 = 0.
-1, -1/12, 2
Find q, given that -6*q**5/5 + 3*q**4/5 + 18*q**3/5 - 21*q**2/5 + 6*q/5 = 0.
-2, 0, 1/2, 1
Factor -j**2 + 2*j - 1.
-(j - 1)**2
Factor -3*n**4/5 + 969*n**3/5 - 966*n**2/5.
-3*n**2*(n - 322)*(n - 1)/5
Factor 3*c**5 - 168*c**4 + 1083*c**3 - 2706*c**2 + 2964*c - 1176.
3*(c - 49)*(c - 2)**3*(c - 1)
Factor 2*d**2/15 - 58*d/15.
2*d*(d - 29)/15
Factor a**2 + 173*a + 342.
(a + 2)*(a + 171)
Factor 3*t**4/2 - 81*t**2/2 - 75*t - 36.
3*(t - 6)*(t + 1)**2*(t + 4)/2
Find l, given that l**4/5 - 3*l**3 + 81*l**2/5 - 37*l + 30 = 0.
2, 3, 5
Let -c**2 + 6*c = 0. Calculate c.
0, 6
Suppose 2*a**3 + 194*a**2 - 394*a + 198 = 0. What is a?
-99, 1
Factor 12*u**2/7 + 243*u - 426/7.
3*(u + 142)*(4*u - 1)/7
Suppose -2*f**5/3 - 4*f**4/3 + 2*f**3 + 8*f**2/3 - 8*f/3 = 0. Calculate f.
-2, 0, 1
Factor u**4 - 1400*u**3 + 490000