*m**3/2 - 27*m**2 + 34*m + 12 = 0?
-2/7, 2, 6
Find d, given that 25*d**5/2 - 4265*d**4 - 32661*d**3/2 - 19639*d**2 - 8966*d - 1380 = 0.
-2, -1, -2/5, 345
Find d, given that d**2/4 - 5*d + 9 = 0.
2, 18
Factor m**3/2 - m**2/3 - 5*m/6 + 2/3.
(m - 1)**2*(3*m + 4)/6
Factor 4*j**2 - 148*j + 528.
4*(j - 33)*(j - 4)
Let -i**3/3 - 31*i**2/3 - 224*i/3 + 256/3 = 0. What is i?
-16, 1
Find y such that -3*y**4/5 - 3*y**3/5 + 81*y**2/5 - 81*y/5 - 162/5 = 0.
-6, -1, 3
Determine n so that 2*n**3/9 + 74*n**2/9 + 8*n = 0.
-36, -1, 0
Let -u**2/6 - 386*u/3 - 74498/3 = 0. Calculate u.
-386
What is p in -3*p**5 - 66*p**4 - 363*p**3 = 0?
-11, 0
Let 4*i**5 - 456*i**4 + 13440*i**3 - 25088*i**2 = 0. What is i?
0, 2, 56
Suppose 18*f**3 + 48*f**2 - 22*f - 12 = 0. What is f?
-3, -1/3, 2/3
Factor 2*t**2/11 - 24348*t/11 + 74103138/11.
2*(t - 6087)**2/11
Suppose 4*y**2/7 - 8*y/7 + 4/7 = 0. What is y?
1
Find k such that -k**4/5 - k**3/5 + 5*k**2 + 5*k = 0.
-5, -1, 0, 5
Factor -21*w**2/2 - 39*w/2 + 3.
-3*(w + 2)*(7*w - 1)/2
Solve -c**4/5 - 108*c**3/5 - 3316*c**2/5 - 4320*c - 8000 = 0.
-50, -4
Solve 5*q**3 - 295*q**2 + 850*q - 560 = 0 for q.
1, 2, 56
Determine t so that -3*t**5 - 18*t**4 + 3*t**3 + 114*t**2 - 96 = 0.
-4, -1, 1, 2
Solve -3*f**3/7 + 171*f**2 + 2403*f/7 + 1203/7 = 0.
-1, 401
Factor 2*x**2/5 + 1096*x + 750760.
2*(x + 1370)**2/5
Factor 3*z**4/8 - 21*z**3/4 + 159*z**2/8 - 57*z/2 + 27/2.
3*(z - 9)*(z - 2)**2*(z - 1)/8
What is w in -w**2/3 + 2*w/3 + 1 = 0?
-1, 3
Factor j**4/3 + 16*j**3/3 + 5*j**2.
j**2*(j + 1)*(j + 15)/3
Factor -3*a**4 + 36*a**3 + 63*a**2 - 276*a - 468.
-3*(a - 13)*(a - 3)*(a + 2)**2
Suppose 5*u**4/4 + 1575*u**3/4 - 6385*u**2/4 - 1575*u/4 + 1595 = 0. Calculate u.
-319, -1, 1, 4
Let -5*o**2 + 11790*o - 6950205 = 0. What is o?
1179
Suppose 2*k**4/3 - 2*k**2 - 4*k/3 = 0. Calculate k.
-1, 0, 2
Factor 5*v**5 - 195*v**4 - 215*v**3 + 575*v**2 + 990*v + 400.
5*(v - 40)*(v - 2)*(v + 1)**3
Factor 2*j**3 + 12*j**2 - 8*j - 48.
2*(j - 2)*(j + 2)*(j + 6)
Solve 3*q**2 + 93*q + 90 = 0.
-30, -1
What is l in -5*l**3 - 5880*l**2 - 2304960*l - 301181440 = 0?
-392
Factor 2*o**4/3 + 38*o**3/3 + 60*o**2 + 328*o/3 + 208/3.
2*(o + 2)**3*(o + 13)/3
Suppose -11*l**5 - 9*l**4 + 79*l**3 + 129*l**2 + 40*l - 12 = 0. Calculate l.
-2, -1, 2/11, 3
Determine w so that 28*w**2 + 1600*w + 228 = 0.
-57, -1/7
Factor p**3 - 11*p**2 + 28*p.
p*(p - 7)*(p - 4)
Solve -25*a**3 - 2485*a**2 - 5840*a - 1940 = 0.
-97, -2, -2/5
Determine n, given that n**5 - 4*n**4 - 44*n**3 + 194*n**2 - 245*n + 98 = 0.
-7, 1, 2, 7
Factor 5*j**5 + 10*j**4 - 105*j**3 - 10*j**2 + 580*j - 600.
5*(j - 2)**3*(j + 3)*(j + 5)
Find v, given that -2*v**5/3 + 2*v**4 + 14*v**3/3 - 10*v**2 - 12*v = 0.
-2, -1, 0, 3
Let -4*x**2 - 2328*x - 4640 = 0. What is x?
-580, -2
Factor -2*i**2/9 + 100*i/9 + 34/3.
-2*(i - 51)*(i + 1)/9
Determine z, given that -4*z**2 + 2*z = 0.
0, 1/2
Suppose v**2/8 - 5*v/8 = 0. What is v?
0, 5
Let 5*y**4 + 17*y**3 - 39*y**2 + 7*y + 10 = 0. Calculate y.
-5, -2/5, 1
Suppose -2*a**4/7 + 324*a**3/7 - 46*a**2 = 0. What is a?
0, 1, 161
Solve 3*s**2/5 + 831*s/5 - 1674/5 = 0 for s.
-279, 2
Find t, given that -3*t**5 + 3*t**4 + 45*t**3 + 69*t**2 + 30*t = 0.
-2, -1, 0, 5
Factor a**2 - 129*a + 1080.
(a - 120)*(a - 9)
Factor -g**3/4 - 11*g**2/2 + g/4 + 11/2.
-(g - 1)*(g + 1)*(g + 22)/4
Solve a**2/2 - 73*a/2 + 645 = 0.
30, 43
Find o, given that -2*o**4 - 20*o**3 - 26*o**2 + 120*o - 72 = 0.
-6, 1
Factor 5*p**5 + 35*p**4 + 90*p**3 + 110*p**2 + 65*p + 15.
5*(p + 1)**4*(p + 3)
Determine y, given that -2*y**4/3 - 28*y**3/3 - 136*y**2/3 - 260*y/3 - 50 = 0.
-5, -3, -1
Solve 4*o**3 - 12*o + 8 = 0.
-2, 1
Solve f**5/7 - f**4 + 2*f**3 - 2*f**2/7 - 15*f/7 + 9/7 = 0 for f.
-1, 1, 3
Factor g**4/5 + g**3 - 22*g**2/5 + 16*g/5.
g*(g - 2)*(g - 1)*(g + 8)/5
Solve -4*i**2 - 92*i + 200 = 0 for i.
-25, 2
Factor 3*m**3 + 123*m**2 - 2808*m - 120528.
3*(m - 31)*(m + 36)**2
Find h such that 3*h**2 + 1740*h + 252300 = 0.
-290
Suppose -3*v**3 - 27*v**2 - 42*v = 0. Calculate v.
-7, -2, 0
Solve -6*j**5/5 - 6*j**4/5 = 0 for j.
-1, 0
Let 4*k**3 - 28*k**2 + 60*k - 36 = 0. What is k?
1, 3
Factor 2*f**2 - 150*f - 152.
2*(f - 76)*(f + 1)
Factor -q**3/10 + q**2/10 + q/2 + 3/10.
-(q - 3)*(q + 1)**2/10
What is r in -2*r**3 - 164*r**2 + 870*r = 0?
-87, 0, 5
Factor 197*c**2 + 1578*c + 16.
(c + 8)*(197*c + 2)
Find d, given that 2*d**5/7 + 64*d**4/7 - 2*d**3/7 - 64*d**2/7 = 0.
-32, -1, 0, 1
Find c such that -6*c**4 - 15*c**3/2 + 45*c**2/2 + 30*c + 6 = 0.
-2, -1, -1/4, 2
Determine b, given that b**2/3 + 164*b - 495 = 0.
-495, 3
Find p such that -5*p**3 - 30*p**2 - 25*p = 0.
-5, -1, 0
Solve -3*y**2/4 + 150*y - 7500 = 0.
100
Factor -8*x**3 + 1026*x**2 + 776*x - 258.
-2*(x - 129)*(x + 1)*(4*x - 1)
Factor -3*v**3 + 757*v**2 - 47880*v + 15876.
-(v - 126)**2*(3*v - 1)
Let -2*v**5 - 18*v**4 - 52*v**3 - 68*v**2 - 42*v - 10 = 0. Calculate v.
-5, -1
Factor -30*g**2 + 4495*g + 750.
-5*(g - 150)*(6*g + 1)
Factor -8*u**4 - 2028*u**3 - 256033*u**2/2 + 64389*u - 16129/2.
-(u + 127)**2*(4*u - 1)**2/2
Factor 2*p**3 - 2*p**2 - 80*p + 224.
2*(p - 4)**2*(p + 7)
Suppose 2*w**4/11 + 2*w**3/11 - 24*w**2/11 = 0. Calculate w.
-4, 0, 3
What is k in k**2 - 3410*k + 2907025 = 0?
1705
Solve -3*p**5 + 9*p**3 + 6*p**2 = 0.
-1, 0, 2
Determine p so that 3*p**5 + 9*p**4 - 30*p**3 + 6*p**2 + 27*p - 15 = 0.
-5, -1, 1
Suppose 2*w**2 - 400*w + 20000 = 0. Calculate w.
100
What is d in -d**5/3 - 14*d**4/3 + 5*d**3 = 0?
-15, 0, 1
What is m in 6*m**5 + 28*m**4 - 92*m**3 + 48*m**2 + 38*m - 28 = 0?
-7, -2/3, 1
Factor 5*u**4 - 20*u**3 - 55*u**2 + 150*u.
5*u*(u - 5)*(u - 2)*(u + 3)
Determine l so that 5*l**2 - 5740*l + 1647380 = 0.
574
Determine p, given that 4*p**3 - 3326*p**2 + 4976*p + 3320 = 0.
-1/2, 2, 830
Suppose 2*f**2 - 52*f = 0. Calculate f.
0, 26
Factor q**2/5 + 134*q/5 + 4489/5.
(q + 67)**2/5
Factor -2*j**2/7 - 262*j/7 - 516/7.
-2*(j + 2)*(j + 129)/7
Suppose 5*m**4/3 - 70*m**3 - 20*m**2/3 + 280*m = 0. Calculate m.
-2, 0, 2, 42
Suppose -2*g**4 - 26*g**3 - 110*g**2 - 150*g = 0. What is g?
-5, -3, 0
Let -x**3/7 - 5*x**2 - 323*x/7 - 289/7 = 0. What is x?
-17, -1
Factor 4*k**2 - 36*k.
4*k*(k - 9)
Determine u so that -6*u**4/7 + 960*u**3/7 - 3774*u**2/7 + 4692*u/7 - 1872/7 = 0.
1, 2, 156
Factor -2*l**2/9 + 4*l + 560/9.
-2*(l - 28)*(l + 10)/9
Factor 3*z**2 - 36*z - 39.
3*(z - 13)*(z + 1)
Determine r, given that -r**3/5 - 16*r**2/5 + 60*r - 1008/5 = 0.
-28, 6
Let -3*s**4/5 - 9*s**3 - 108*s**2/5 + 12*s/5 + 144/5 = 0. Calculate s.
-12, -2, 1
Find b such that b**3/2 + 139*b**2/6 + 248*b - 480 = 0.
-24, 5/3
Factor a**2/3 - 28*a/3 + 196/3.
(a - 14)**2/3
Let -2*p**3/11 - 38*p**2/11 + 26*p/11 + 2366/11 = 0. Calculate p.
-13, 7
Suppose 6*v**3 - 4744*v**2 - 6344*v + 6336 = 0. Calculate v.
-2, 2/3, 792
Suppose 3*a**4 - 72*a**3 - 423*a**2 - 348*a = 0. What is a?
-4, -1, 0, 29
Let -m**4 - 4*m**3 + 5*m**2 = 0. What is m?
-5, 0, 1
Determine r so that -10*r**2/7 + 12*r + 54/7 = 0.
-3/5, 9
Let -q**3 - 2*q**2 + 5*q + 6 = 0. What is q?
-3, -1, 2
Solve -3*k**4/7 - 633*k**3/7 - 33687*k**2/7 - 4185*k + 28350 = 0 for k.
-105, -3, 2
Suppose 2*l**4 - 252*l**3 + 7682*l**2 + 16128*l + 8192 = 0. Calculate l.
-1, 64
Determine h so that 177241*h**2/3 + 5894*h/3 + 49/3 = 0.
-7/421
Suppose -9*g**5 - 93*g**4 - 225*g**3 + 249*g**2 + 990*g + 600 = 0. What is g?
-5, -4/3, -1, 2
What is o in -3*o**2 - 69*o + 744 = 0?
-31, 8
Factor -2*u**2/21 + 6/7.
-2*(u - 3)*(u + 3)/21
Solve -12*q**3 - 332*q**2 - 212*q + 108 = 0 for q.
-27, -1, 1/3
Let 5*j**3 - 690*j**2 + 4585*j = 0. Calculate j.
0, 7, 131
Factor -2*b**3/15 + 784*b**2/15 + 3208*b/5 + 9696/5.
-2*(b - 404)*(b + 6)**2/15
Let f**3 + f**2 - f - 1 = 0. What is f?
-1, 1
Factor 4*c**2/3 + 22*c/3 - 4.
2*(c + 6)*(2*c - 1)/3
Factor -3*m**2/5 + 129*m + 648/5.
-3*(m - 216)*(m + 1)/5
Factor -v**4/5 + 27*v**2/5 + 10*v + 24/5.
-(v - 6)*(v + 1)**2*(v + 4)/5
Solve -3*v**2 + 25494*v - 54162003 = 0.
4249
Factor 9*y**4 + 489*y**3 - 846*y**2 - 336*y.
3*y*(y - 2)*(y + 56)*(3*y + 1)
Factor -2*a**4 + 60*a**3 - 384*a**2 + 704*a.
-2*a*(a - 22)*(a - 4)**2
Determine a so that -28*a**4/5 - 524*a**3/5 - 828*a**2/5 - 196*a/5 + 136/5 = 0.
-17, -1, 2/7
Determine o so that 3*o**5/5 - 72*o**4/5 + 522*o**3/5 - 1272*o**2/5 + 819*o/5 = 0.
0, 1, 3, 7, 13
Suppose -3*w**5/7 + 57*w**4/7 - 393*w**3/7 + 1167*w**2/7 - 1368*w/7 + 540