+ 40 = 0. What is h?
1/2, 1, 4, 10
Factor -4*r**3 + 8*r**2 - 4*r.
-4*r*(r - 1)**2
Factor 5*a**2 - 140*a + 135.
5*(a - 27)*(a - 1)
Factor 3*i**3 - 87*i**2 + 165*i - 81.
3*(i - 27)*(i - 1)**2
Determine c, given that 2*c**3/7 - 14*c = 0.
-7, 0, 7
Determine j, given that -4*j**2/3 - 2784*j - 1453248 = 0.
-1044
Find f, given that -3*f**2/5 + 63*f/5 - 12 = 0.
1, 20
What is o in 5*o**4 - 150*o**3 - 880*o**2 + 150*o + 875 = 0?
-5, -1, 1, 35
Factor -n**4 - 3*n**3 + 3*n**2 + 11*n + 6.
-(n - 2)*(n + 1)**2*(n + 3)
Factor -u**3 + u**2 + 9*u - 9.
-(u - 3)*(u - 1)*(u + 3)
Factor -3*m**3 - 951*m**2 - 1893*m - 945.
-3*(m + 1)**2*(m + 315)
Factor 2*z**5 - 8*z**4 + 10*z**3 - 4*z**2.
2*z**2*(z - 2)*(z - 1)**2
Determine i, given that -2*i**3/15 - 6*i**2 - 58*i/5 - 86/15 = 0.
-43, -1
Let -d**2/4 - 341*d - 116281 = 0. Calculate d.
-682
Solve -8*z**5/3 - 10*z**4 - 32*z**3/3 - 2*z**2 + 4*z/3 = 0 for z.
-2, -1, 0, 1/4
Suppose 7*s**3/6 - 4*s**2 = 0. What is s?
0, 24/7
Solve -2*d**4 - 588*d**3 + 2*d**2 + 588*d = 0.
-294, -1, 0, 1
Find s, given that -4*s**5/5 + 4*s**4/5 + 164*s**3/5 - 452*s**2/5 - 32*s + 448/5 = 0.
-7, -1, 1, 4
Factor -7*k**3 + 44*k**2 + 177*k - 54.
-(k - 9)*(k + 3)*(7*k - 2)
Factor 242*d**2 + 792*d + 648.
2*(11*d + 18)**2
Factor -i**4/3 - 7*i**3 + 23*i**2 - 71*i/3 + 8.
-(i - 1)**3*(i + 24)/3
What is w in w**2/4 + 113*w/4 - 57/2 = 0?
-114, 1
Factor -4*f**2 - 64*f - 220.
-4*(f + 5)*(f + 11)
Factor -2*m**2/13 - 58*m/13 - 276/13.
-2*(m + 6)*(m + 23)/13
Factor -17*h**2/2 - 339*h + 40.
-(h + 40)*(17*h - 2)/2
Factor b**2/3 - 98*b/3 + 2401/3.
(b - 49)**2/3
Solve -9*i**4/7 + 906*i**3/7 - 23101*i**2/7 + 15100*i/7 - 2500/7 = 0 for i.
1/3, 50
Factor 16*k**2/5 - 58*k/5 + 6.
2*(k - 3)*(8*k - 5)/5
Suppose -114*j**2/5 - 88*j/5 - 8/5 = 0. What is j?
-2/3, -2/19
Solve -25*q**3/11 - 105*q**2/11 - 144*q/11 - 64/11 = 0.
-8/5, -1
Determine v, given that v**4/4 + 10*v**3 + 126*v**2 + 392*v - 1372 = 0.
-14, 2
Factor s**2/6 + 3*s/2 + 4/3.
(s + 1)*(s + 8)/6
Solve 3*x**4/8 - 843*x**3/8 + 2475*x**2/4 + 12*x - 3300 = 0.
-2, 4, 275
Suppose 4*w**3 + 204*w**2 + 2300*w + 2100 = 0. Calculate w.
-35, -15, -1
Factor t**5/9 - 2*t**4/3 - 3*t**3.
t**3*(t - 9)*(t + 3)/9
Factor -5*s**5 - 15*s**4 + 5*s**3 + 55*s**2 + 60*s + 20.
-5*(s - 2)*(s + 1)**3*(s + 2)
Suppose -2*z**3/3 - 58*z**2/3 + 20*z = 0. Calculate z.
-30, 0, 1
Determine p, given that 2*p**3 - 42*p**2 + 88*p + 360 = 0.
-2, 5, 18
Factor 2*u**2 + 154*u + 152.
2*(u + 1)*(u + 76)
Factor -4*r**3 - 72*r**2 - 60*r + 136.
-4*(r - 1)*(r + 2)*(r + 17)
Determine o, given that -o**3/2 - 11*o**2 - 89*o/2 - 34 = 0.
-17, -4, -1
Factor -3*l**5/2 - 15*l**4/2 - 9*l**3 + 6*l**2 + 12*l.
-3*l*(l - 1)*(l + 2)**3/2
Find w, given that -3*w**5/8 + 9*w**4/8 + 45*w**3/8 + 51*w**2/8 + 9*w/4 = 0.
-1, 0, 6
Factor -v**2 + 1586*v - 628849.
-(v - 793)**2
Suppose 20*p**5 - 312*p**4 + 792*p**3 + 3248*p**2 + 2772*p + 648 = 0. What is p?
-1, -2/5, 9
Determine l, given that -2*l**2 - 92*l + 3744 = 0.
-72, 26
Find q such that -18*q**4 - 346*q**3 - 76*q**2 = 0.
-19, -2/9, 0
Factor -o**5/7 - 13*o**4/7 + 62*o**3/7 - 14*o**2 + 67*o/7 - 17/7.
-(o - 1)**4*(o + 17)/7
Suppose 4*n**2 - 1044*n - 3168 = 0. What is n?
-3, 264
Factor 4*l**4/5 + 8*l**3/5 + 4*l**2/5.
4*l**2*(l + 1)**2/5
Determine a so that -a**5/4 + a**4/4 + 59*a**3/4 + 111*a**2/4 + 27*a/2 = 0.
-6, -1, 0, 9
Let -3*i**2/5 - 2064*i/5 = 0. What is i?
-688, 0
Factor -j**2 + 6*j + 16.
-(j - 8)*(j + 2)
Factor -5*t**4/6 + 5150*t**3/3 - 1179920*t**2 + 814131080*t/3 - 1614144280/3.
-5*(t - 686)**3*(t - 2)/6
Factor 2*j**3/5 + 446*j**2/5 - 546*j + 4122/5.
2*(j - 3)**2*(j + 229)/5
Find a such that 3*a**2 + 27*a = 0.
-9, 0
Solve 3*a**5/4 - 99*a**4/2 - 1281*a**3/4 - 270*a**2 = 0 for a.
-5, -1, 0, 72
Factor 4*s**3 + 7284*s**2 + 4421388*s + 894594172.
4*(s + 607)**3
Factor -2*i**2/5 + 2*i.
-2*i*(i - 5)/5
Factor 32*g**3 + 27696*g**2 - 13854*g + 1732.
2*(g + 866)*(4*g - 1)**2
Determine f so that 3*f**5/4 + 189*f**4/2 + 12987*f**3/4 + 17010*f**2 + 24300*f = 0.
-60, -3, 0
Factor b**5/4 + 5*b**4/4 + b**3/4 - 21*b**2/4 - 9*b/2.
b*(b - 2)*(b + 1)*(b + 3)**2/4
Factor 4*a**2 + 6*a - 4.
2*(a + 2)*(2*a - 1)
Factor 2*q**3 + 584*q**2 + 1734*q.
2*q*(q + 3)*(q + 289)
Solve 33*o**4/5 + 1068*o**3 + 287712*o**2/5 + 5143824*o/5 - 944784/5 = 0 for o.
-54, 2/11
Find p, given that p**5/5 + 31*p**4/5 + 319*p**3/5 + 1069*p**2/5 - 64*p - 220 = 0.
-11, -10, -1, 1
Factor 2*o**2/9 - 16*o/9 - 2.
2*(o - 9)*(o + 1)/9
Determine i so that -88*i**4/3 - 214*i**3/3 - 56*i**2 - 46*i/3 - 4/3 = 0.
-1, -1/4, -2/11
Factor -748*j**2 + 1484*j + 24.
-4*(j - 2)*(187*j + 3)
Factor 3*u**4 - 36*u**3 + 60*u**2.
3*u**2*(u - 10)*(u - 2)
Factor -3*z**5/5 - 57*z**4 - 1266*z**3 + 4146*z**2 - 4263*z + 7203/5.
-3*(z - 1)**3*(z + 49)**2/5
Solve -f**2 + 153*f + 4450 = 0 for f.
-25, 178
Factor 4*l**3 + 36084*l**2 + 108504588*l + 108757765372.
4*(l + 3007)**3
Factor 2*t**5/5 - 24*t**4/5 + 8*t**3.
2*t**3*(t - 10)*(t - 2)/5
Solve -3*k**2 + 129*k + 132 = 0.
-1, 44
Suppose -b**4/2 + 10*b**3 - 19*b**2/2 = 0. Calculate b.
0, 1, 19
Determine r, given that 4*r**5 + 20*r**4 - 80*r**2 - 64*r = 0.
-4, -2, -1, 0, 2
Suppose g**2 - 219*g - 892 = 0. What is g?
-4, 223
Let m**3/8 + 9*m**2/4 + 41*m/8 - 15/2 = 0. What is m?
-15, -4, 1
Factor -t**2/10 - 33*t/5 + 68/5.
-(t - 2)*(t + 68)/10
Find h such that -3*h**5/4 - 87*h**4/4 + 1707*h**3/4 - 4593*h**2/4 - 3660*h - 2064 = 0.
-43, -1, 8
What is l in -4*l**5 - 8*l**4 - 4*l**3 = 0?
-1, 0
Factor -o**5/4 - 5*o**4/4 - 9*o**3/4 - 7*o**2/4 - o/2.
-o*(o + 1)**3*(o + 2)/4
Determine p, given that -p**3 + 17*p**2 + 81*p + 63 = 0.
-3, -1, 21
Find u such that -2*u**2/9 + 3958*u/9 = 0.
0, 1979
Factor 2*n**4/9 - 2*n**3/3 - 2*n**2 - 10*n/9.
2*n*(n - 5)*(n + 1)**2/9
Factor -10*z**3/7 - 186*z**2/7 + 76*z/7.
-2*z*(z + 19)*(5*z - 2)/7
Let -3*k**2/7 + 234*k/7 - 4563/7 = 0. Calculate k.
39
Find g, given that 2*g**5 - 4*g**4/9 - 38*g**3 - 464*g**2/9 + 40*g/3 = 0.
-3, -2, 0, 2/9, 5
Factor l**3/6 - 11*l**2/3 - 121*l/2.
l*(l - 33)*(l + 11)/6
Factor -f**2 - 2358*f - 1390041.
-(f + 1179)**2
Factor 2*b**2/13 - 1448*b/13 + 262088/13.
2*(b - 362)**2/13
Find f, given that -10*f**4/3 - 392*f**3/3 - 276*f**2 - 520*f/3 - 74/3 = 0.
-37, -1, -1/5
Determine c, given that -2*c**3 - 56*c**2 = 0.
-28, 0
Factor 33*b**3/8 - 3*b**2/4.
3*b**2*(11*b - 2)/8
Determine t, given that -268*t**5/7 - 1466*t**4/7 - 1564*t**3/7 + 26*t**2 + 76*t - 16/7 = 0.
-4, -1, 2/67, 1/2
Let 2*f**5 + 144*f**4 - 320*f**3 - 1740*f**2 + 2718*f + 3996 = 0. What is f?
-74, -3, -1, 3
Suppose 2*h**3/3 - 6*h**2 - 2*h/3 + 6 = 0. What is h?
-1, 1, 9
Find q, given that -2*q**3 + 150*q**2 - 294*q + 146 = 0.
1, 73
Solve -3*h**3 - 72*h**2 - 432*h = 0.
-12, 0
Factor -3*v**3/4 - v**2/2 + 3*v/4 + 1/2.
-(v - 1)*(v + 1)*(3*v + 2)/4
Determine r, given that -r**5/2 - 14*r**4/3 - 49*r**3/6 + 2*r**2/3 + 14*r/3 = 0.
-7, -2, -1, 0, 2/3
Factor -4*d**2 + 428*d - 424.
-4*(d - 106)*(d - 1)
Suppose -5*j**2 - 140*j - 375 = 0. What is j?
-25, -3
Let -w**4/3 + 73*w**3/3 - 406*w**2 - 4180*w/3 - 2888/3 = 0. Calculate w.
-2, -1, 38
Factor 2*s**4/11 + 14*s**3/11 + 24*s**2/11.
2*s**2*(s + 3)*(s + 4)/11
Suppose 2*k**3/9 - 8*k**2/3 - 2*k/9 + 8/3 = 0. Calculate k.
-1, 1, 12
Factor 31*u**3/3 - 65*u**2/3 + 2*u.
u*(u - 2)*(31*u - 3)/3
What is u in -4*u**4 + 48*u**3 + 128*u**2 - 192*u - 448 = 0?
-2, 2, 14
Factor 2*x**4 + 36*x**3 + 174*x**2 + 140*x.
2*x*(x + 1)*(x + 7)*(x + 10)
Find o, given that -o**3 - 33*o**2 - 32*o = 0.
-32, -1, 0
Factor v**3/4 - 23*v**2 + 45*v.
v*(v - 90)*(v - 2)/4
Let -3*h**4/7 - 9*h**3/7 + 24*h**2 + 684*h/7 + 96 = 0. What is h?
-7, -2, 8
Factor 4*w**2/7 + 864*w/7.
4*w*(w + 216)/7
Suppose 2*c**4 - 20*c**3 + 48*c**2 - 44*c + 14 = 0. What is c?
1, 7
Factor -3*w**4/4 + 75*w**3/2 + 225*w**2/4 - 13125*w - 91875.
-3*(w - 35)**2*(w + 10)**2/4
Suppose 2*u**2/3 - 476*u/3 + 28322/3 = 0. Calculate u.
119
Factor 3*m**4 - 48*m**3/7 + 33*m**2/7 - 6*m/7.
3*m*(m - 1)**2*(7*m - 2)/7
Factor -4*q**3 + 232*q**2 - 1284*q + 1872.
-4*(q - 52)*(q - 3)**2
Suppose 3*v**2/5 + 39*v/5 + 66/5 = 0. Calculate v.
-11, -2
Determine d so that -28*d**5 - 456*d**4 - 1920*d**3 - 512*d**2 = 0.
-8, -2/7, 0
Factor -2*w**3/5 + 1818*w**2/5 - 82446*w - 82810.
-2*(w - 455)**2*(w + 1)/5
Factor -11*l**2/4 - 419*l/4 - 19/2.
-(l + 38)*(11*l + 1)/4
Determine t, given that -4*t**4 + 360*t**3 - 7732*t*