 + 44*s**3/19 - 56*s**2/19 - 208*s/19 - 128/19 = 0. What is s?
-8, -2, -1, 2
Factor 10*u**3/3 - 42*u**2 + 98*u + 686/3.
2*(u - 7)**2*(5*u + 7)/3
Solve 49*g**5/9 + 161*g**4/9 - 2*g**3/3 - 158*g**2/9 - 43*g/9 - 1/3 = 0.
-3, -1, -1/7, 1
Solve -2*x**5/3 + 56*x**4/9 + 118*x**3/9 - 80*x**2/9 - 88*x/9 = 0.
-2, -2/3, 0, 1, 11
Factor -2*s**5/3 + 4*s**4/3 + 8*s**3/3 - 16*s**2/3.
-2*s**2*(s - 2)**2*(s + 2)/3
What is d in -3*d**3/4 + 6*d**2 + 93*d/4 + 33/2 = 0?
-2, -1, 11
Solve -273*q**2/2 - 136*q + 1/2 = 0 for q.
-1, 1/273
Factor 4*z**2/5 - 128*z/5 + 1024/5.
4*(z - 16)**2/5
Find q such that -4*q**2 - 20*q + 24 = 0.
-6, 1
Suppose -127*q**3/5 + 129*q**2/5 - 2*q/5 = 0. What is q?
0, 2/127, 1
Find n, given that -12*n**4 - 27*n**3 - 6*n**2 = 0.
-2, -1/4, 0
Factor 5*l**2 + 5190*l - 5195.
5*(l - 1)*(l + 1039)
Find q such that 2*q**2/3 - 4*q = 0.
0, 6
Determine z, given that 2*z**3/7 - 60*z**2/7 + 474*z/7 - 416/7 = 0.
1, 13, 16
Factor -t**3/9 - 34*t**2/3 - 320*t - 1536.
-(t + 6)*(t + 48)**2/9
Let 4*d**4 - 468*d**3 + 1380*d**2 - 1372*d + 456 = 0. Calculate d.
1, 114
Suppose -20*r**5 - 28*r**4 + 192*r**3 - 80*r**2 - 64*r = 0. What is r?
-4, -2/5, 0, 1, 2
Determine k, given that -26*k**3/7 + 60*k**2 - 1728*k/7 + 256/7 = 0.
2/13, 8
Factor h**4 + 10*h**3 - 49*h**2 - 130*h.
h*(h - 5)*(h + 2)*(h + 13)
Factor p**4/2 + 32*p**3 + 768*p**2 + 8192*p + 32768.
(p + 16)**4/2
What is t in 5*t**2 + 990*t + 49005 = 0?
-99
Factor -2*q**3 + 324*q**2 - 13440*q + 25600.
-2*(q - 80)**2*(q - 2)
Factor 4*p**2 + 2024*p - 2028.
4*(p - 1)*(p + 507)
Let 22*u**5/9 - 370*u**4/9 + 1186*u**3/9 - 1246*u**2/9 + 304*u/9 + 104/9 = 0. What is u?
-2/11, 1, 2, 13
Factor 3*t**4 + 12*t**3 + 3*t**2 - 18*t.
3*t*(t - 1)*(t + 2)*(t + 3)
Factor -b**3/3 + 11*b**2/3 + 145*b/3 + 133/3.
-(b - 19)*(b + 1)*(b + 7)/3
Factor -b**4 + 3*b**3 + 16*b**2 + 12*b.
-b*(b - 6)*(b + 1)*(b + 2)
Factor 2*p**3 + 157*p**2 + 3120*p + 1521.
(p + 39)**2*(2*p + 1)
Factor -m**4 + 147*m**3 - 435*m**2 + 433*m - 144.
-(m - 144)*(m - 1)**3
Factor -40*o**2 - 5915*o + 740.
-5*(o + 148)*(8*o - 1)
Let h**5 - h**4/6 - 25*h**3/3 - 13*h**2/6 + 5*h = 0. What is h?
-5/2, -1, 0, 2/3, 3
Let 15*f**5 - 4*f**4 - 45*f**3 - 18*f**2 + 8*f = 0. Calculate f.
-1, 0, 4/15, 2
Solve q**4/2 - 13*q**3/8 - 11*q**2/8 + 33*q/8 + 27/8 = 0.
-1, 9/4, 3
What is y in -2*y**3 - 2898*y**2 - 1399734*y - 225357174 = 0?
-483
Suppose j**4 + 33*j**3 - 12*j**2 - 412*j - 528 = 0. What is j?
-33, -2, 4
Solve -3*b**5/4 - 225*b**4/4 - 5625*b**3/4 - 54375*b**2/4 - 56250*b - 84375 = 0.
-30, -5
Determine u so that 25*u**4/3 + 20*u**3/3 - 17*u**2 + 6*u = 0.
-2, 0, 3/5
Find n, given that -4*n**3 + 2352*n**2 + 4716*n + 2360 = 0.
-1, 590
Let 9*r**5/5 + 1713*r**4/5 + 3963*r**3/5 + 2823*r**2/5 + 564*r/5 = 0. What is r?
-188, -1, -1/3, 0
What is z in -2*z**2 - 226*z - 2772 = 0?
-99, -14
Solve -2*h**3 + 6*h**2 + 120*h + 200 = 0 for h.
-5, -2, 10
Suppose 5*h**3/6 - 25*h**2/3 - 80*h = 0. What is h?
-6, 0, 16
Factor -n**2/6 + 2584*n/3 - 3338528/3.
-(n - 2584)**2/6
Solve -q**4/2 + 33*q**3/2 - 207*q**2/2 - 517*q/2 - 138 = 0 for q.
-1, 12, 23
Factor -501*f**3 + 500*f**2 + f.
-f*(f - 1)*(501*f + 1)
Factor -3*u**4/8 + 3*u**3/8 + 15*u**2/2.
-3*u**2*(u - 5)*(u + 4)/8
Factor 2*y**2/7 - 550*y/7 - 1108/7.
2*(y - 277)*(y + 2)/7
Factor -t**3/4 - 3*t**2/4 + 3*t/2 + 2.
-(t - 2)*(t + 1)*(t + 4)/4
Let u**5 + 19*u**4 + 90*u**3 + 164*u**2 + 104*u = 0. Calculate u.
-13, -2, 0
Factor -2*g**3/7 - 124*g**2/7 - 242*g/7 - 120/7.
-2*(g + 1)**2*(g + 60)/7
Factor 5*g**4 + 60*g**3 + 160*g**2 - 240*g - 720.
5*(g - 2)*(g + 2)*(g + 6)**2
Suppose m**5/5 - 2*m**4 - 37*m**3 - 62*m**2 + 184*m/5 + 64 = 0. Calculate m.
-8, -2, -1, 1, 20
Factor l**4 + l**3 - l**2 - l.
l*(l - 1)*(l + 1)**2
Factor 5*g**4 + 1035*g**3 - 3135*g**2 + 3145*g - 1050.
5*(g - 1)**3*(g + 210)
Suppose 2*w**3 + 4*w**2 - 26*w + 20 = 0. Calculate w.
-5, 1, 2
Determine g, given that g**2 + 780*g - 781 = 0.
-781, 1
Factor t**2/2 + 139*t + 19321/2.
(t + 139)**2/2
Determine y so that -5*y**5 + 20*y**4 + 25*y**3 - 180*y**2 + 180*y = 0.
-3, 0, 2, 3
Factor -2*l**3 - 462*l**2 - 26448*l + 26912.
-2*(l - 1)*(l + 116)**2
Factor 12*z**3 - 4*z**2 - 12*z + 4.
4*(z - 1)*(z + 1)*(3*z - 1)
Solve -9*h**4 + 24*h**3 - 21*h**2 + 6*h = 0.
0, 2/3, 1
Find j, given that 14*j**2/3 + 11*j/3 - 1 = 0.
-1, 3/14
Suppose -28*w**4 - 974*w**3 - 7854*w**2 + 10800*w - 1944 = 0. What is w?
-18, 3/14, 1
Factor -4*c**3/9 + 304*c**2/9 - 592*c/9.
-4*c*(c - 74)*(c - 2)/9
Let -2*t**3 + 526*t**2 - 32670*t - 255150 = 0. Calculate t.
-7, 135
Solve 2*w**3/3 + 102*w**2 + 4234*w + 159790/3 = 0 for w.
-95, -29
Determine o, given that -4*o**2 + 232*o + 236 = 0.
-1, 59
Suppose b**4/2 + 605*b**3/2 + 61500*b**2 + 4300000*b + 20000000 = 0. Calculate b.
-200, -5
Factor -2*h**2/7 + 48*h/7 - 88/7.
-2*(h - 22)*(h - 2)/7
Factor -5*j**3 + 545*j**2 - 1055*j - 1605.
-5*(j - 107)*(j - 3)*(j + 1)
Solve -4*u**2 - 12*u - 8 = 0 for u.
-2, -1
Determine s so that -14*s**5 + 102*s**4 - 280*s**3 + 352*s**2 - 192*s + 32 = 0.
2/7, 1, 2
Determine b, given that b**2/6 - 83*b/3 - 167/6 = 0.
-1, 167
Solve -j**3/8 - 357*j**2/8 - 355*j/4 = 0 for j.
-355, -2, 0
Factor 2*m**2 - 2*m - 40.
2*(m - 5)*(m + 4)
Find c, given that 4*c**2/5 + 16*c/5 - 4 = 0.
-5, 1
Factor -3*r**2 + 5469*r + 10950.
-3*(r - 1825)*(r + 2)
Factor -2*t**3/5 - t**2/5.
-t**2*(2*t + 1)/5
Determine c so that -2*c**3 + 32*c**2 + 70*c + 36 = 0.
-1, 18
Find u such that -5*u**3/2 - 33*u**2 - 73*u/2 - 6 = 0.
-12, -1, -1/5
Determine l, given that l**2/12 + 15*l/4 + 41/3 = 0.
-41, -4
Solve -5*z**3 - 4095*z**2 - 48600*z - 145260 = 0 for z.
-807, -6
Find f such that 3*f**5/7 + 375*f**4/7 + 2529*f**3/7 + 867*f**2 + 6036*f/7 + 2124/7 = 0.
-118, -3, -2, -1
Find l, given that 3*l**5 + 36*l**4 - 483*l**3 + 1656*l**2 - 2220*l + 1008 = 0.
-21, 1, 2, 4
Solve 2*f**4/17 - 32*f**3/17 + 6*f**2 - 72*f/17 = 0 for f.
0, 1, 3, 12
Let 18*r**4 + 160*r**3 + 218*r**2 - 820*r - 800 = 0. Calculate r.
-5, -8/9, 2
What is c in 5*c**4 - 200*c**3 + 1995*c**2 + 200*c - 2000 = 0?
-1, 1, 20
What is u in 3*u**3/4 + 3*u**2 + 9*u/4 = 0?
-3, -1, 0
Let -c**3/6 + c**2 + 8*c/3 = 0. Calculate c.
-2, 0, 8
Suppose 9*d**2/5 + 57*d/5 + 18/5 = 0. Calculate d.
-6, -1/3
Find h, given that 2*h**3/7 - 44*h**2/7 + 74*h/7 + 120/7 = 0.
-1, 3, 20
What is d in 6*d**3 - 46*d**2 - 136*d - 40 = 0?
-2, -1/3, 10
Factor 3*a**2/5 - 174*a/5 + 171/5.
3*(a - 57)*(a - 1)/5
Let 4*m**4 - 20*m**2 + 16 = 0. Calculate m.
-2, -1, 1, 2
Find x, given that 2*x**4/3 + 2*x**3/3 - 36*x**2 - 96*x = 0.
-6, -3, 0, 8
Factor 5*u**2 - 42300*u + 89464500.
5*(u - 4230)**2
Determine l so that 2*l**5/11 + 8*l**4/11 - 20*l**3/11 - 80*l**2/11 + 18*l/11 + 72/11 = 0.
-4, -3, -1, 1, 3
Let -4*c**2 - 2424*c - 367236 = 0. Calculate c.
-303
Solve -4*t**2/9 + 7808*t/9 - 3810304/9 = 0.
976
Find d, given that d**4/6 - 13*d**3/3 + 43*d**2/2 + 52*d/3 - 266/3 = 0.
-2, 2, 7, 19
Factor u**5/8 - 11*u**4/8 - 13*u**3/4.
u**3*(u - 13)*(u + 2)/8
Factor -4*l**5 - 140*l**4 + 624*l**3 - 64*l**2 - 2432*l + 2496.
-4*(l - 2)**3*(l + 2)*(l + 39)
Factor -2*o**4 - 16*o**3 - 8*o**2 + 96*o.
-2*o*(o - 2)*(o + 4)*(o + 6)
Let -2*z**4/7 - 88*z**3/7 - 660*z**2/7 - 152*z - 70 = 0. What is z?
-35, -7, -1
Suppose -3*v**2 - 26172*v - 57081132 = 0. What is v?
-4362
Suppose 15*r**4/2 - 7*r**3 - 45*r**2/2 + 6*r + 14 = 0. What is r?
-1, 14/15, 2
Factor 5*m**4 - 45*m**3 - 15*m**2 + 145*m - 90.
5*(m - 9)*(m - 1)**2*(m + 2)
Suppose -2*v**2 - 236*v + 238 = 0. Calculate v.
-119, 1
Solve -12*t**4 - 20*t**3 + 196*t**2 - 44*t - 120 = 0 for t.
-5, -2/3, 1, 3
Factor -i**2 - 2078*i - 2077.
-(i + 1)*(i + 2077)
Suppose -s**4 + 8*s**3 + 18*s**2 - 200*s + 175 = 0. Calculate s.
-5, 1, 5, 7
Let -3*h**5 + 15*h**4 + 81*h**3 - 231*h**2 - 366*h + 504 = 0. What is h?
-4, -2, 1, 3, 7
Solve -2*k**4/17 - 4*k**3/17 + 26*k**2/17 + 28*k/17 - 48/17 = 0 for k.
-4, -2, 1, 3
Factor 5*l**2 + 3480*l + 605520.
5*(l + 348)**2
Factor -p**5/5 - 3298*p**4/5 - 2719201*p**3/5.
-p**3*(p + 1649)**2/5
Determine z so that -5*z**3 - 30*z**2 + 80*z = 0.
-8, 0, 2
Find b, given that -2*b**3 + 86*b**2 - 320*b + 312 = 0.
2, 39
Factor 4*k**3 - 84*k**2 + 80*k.
4*k*(k - 20)*(k - 1)
Suppose -2*x**5/5 - 8*x**4/5 + 12*x**3/5 + 8*x**2/5 - 2*x = 0. Calculate x.
-5, -1, 0, 1
Suppose 2*c**3/3 + 12*c**2 + 118*c/3 + 28 = 0. What is c?
-14, -3, -1
Factor -5*v**3/6 + 15*v**2