2*(j - 10)*(j - 3)/3
Find f such that -2*f**2 - 23*f - 11 = 0.
-11, -1/2
Determine x so that -3*x**2/7 + 12*x/7 = 0.
0, 4
Solve -2*n**3/3 - 10*n**2 - 50*n - 250/3 = 0.
-5
What is q in 18*q**3 - 95*q**2 + 164*q - 92 = 0?
23/18, 2
Factor -80*j**3/3 - 157*j**2/3 + 82*j - 3.
-(j - 1)*(j + 3)*(80*j - 3)/3
Solve -2*x**2 - 238*x + 984 = 0.
-123, 4
What is p in -5*p**4/4 + 20*p**3 - 325*p**2/4 - 55*p/2 + 450 = 0?
-2, 4, 5, 9
Factor -l**2/2 + 46*l - 91/2.
-(l - 91)*(l - 1)/2
Factor -u**4/8 + 13*u**3 - 2805*u**2/8 + 2601*u/4.
-u*(u - 51)**2*(u - 2)/8
Find z such that 3*z**3 + 30*z**2 + 57*z - 90 = 0.
-6, -5, 1
Factor 4*y**2 + 232*y - 3036.
4*(y - 11)*(y + 69)
Factor 5*x**4 - 535*x**3 - 2200*x**2 - 2220*x.
5*x*(x - 111)*(x + 2)**2
Factor 5*l**4/4 + 19*l**3/2 + 49*l**2/4 + l - 3.
(l + 1)**2*(l + 6)*(5*l - 2)/4
Factor 2*i**4/3 - 6*i**3 - 32*i**2/3 + 40*i.
2*i*(i - 10)*(i - 2)*(i + 3)/3
Solve 22*n**5 - 296*n**4 + 10952*n**3/11 = 0.
0, 74/11
Factor -2*l**4 + 100*l**3 - 184*l**2 - 400*l + 768.
-2*(l - 48)*(l - 2)**2*(l + 2)
Find d, given that -d**4/2 - 51*d**3/2 + 217*d**2/2 - 165*d/2 = 0.
-55, 0, 1, 3
Suppose 2*f**3/7 - 24*f**2/7 + 22*f/7 = 0. Calculate f.
0, 1, 11
Factor 4*w**4 + 8*w**3 - 28*w**2 + 16*w.
4*w*(w - 1)**2*(w + 4)
Determine v so that v**3/3 + 53*v**2/3 + 728*v/3 + 676/3 = 0.
-26, -1
Factor u**2 + 28*u + 52.
(u + 2)*(u + 26)
Factor -3*z**3 - 15*z**2 + 18*z.
-3*z*(z - 1)*(z + 6)
Factor -4*a**4 + 1004*a**3 + 1008*a**2.
-4*a**2*(a - 252)*(a + 1)
Factor -4*b**4 + 240*b**3 - 3088*b**2 - 15360*b - 16384.
-4*(b - 32)**2*(b + 2)**2
Factor f**2 - 27*f - 370.
(f - 37)*(f + 10)
Let 3*m**3/8 - 63*m**2/8 + 51*m/2 = 0. What is m?
0, 4, 17
Factor 2*q**3/5 + 4254*q**2/5 + 3016086*q/5 + 712801658/5.
2*(q + 709)**3/5
Determine h so that -h**3 - h**2 + 8*h + 12 = 0.
-2, 3
Factor -4*h**4/9 - 8*h**3/3 - 52*h**2/9 - 16*h/3 - 16/9.
-4*(h + 1)**2*(h + 2)**2/9
Determine w so that w**5/5 + 21*w**4/5 - 71*w**3/5 + 27*w**2/5 + 14*w - 48/5 = 0.
-24, -1, 1, 2
Let 3*x**4/5 + 7296*x**3/5 + 4421352*x**2/5 - 17773056*x/5 + 17802288/5 = 0. What is x?
-1218, 2
Solve -3*t**4/2 - 12*t**3 + 15*t**2 + 12*t - 27/2 = 0 for t.
-9, -1, 1
Let p**3 - 9*p**2 - 10*p = 0. What is p?
-1, 0, 10
Suppose -2*y**5/9 - 20*y**4/9 + 50*y**3/9 + 20*y**2/9 - 16*y/3 = 0. Calculate y.
-12, -1, 0, 1, 2
Solve 5*t**2 + 17510*t + 17505 = 0 for t.
-3501, -1
Factor 7*u**3/2 - 163*u**2/2 + 170*u - 42.
(u - 21)*(u - 2)*(7*u - 2)/2
Factor -2*l**3 - 100*l**2 - 1344*l - 2304.
-2*(l + 2)*(l + 24)**2
Let -9*u**3 + 498*u**2 - 7777*u + 23716 = 0. What is u?
4, 77/3
Find c, given that 3*c**5 - 118*c**4 - 204*c**3 - 42*c**2 + 41*c = 0.
-1, 0, 1/3, 41
Factor -50*p**3 - 95*p**2 + 20*p + 20.
-5*(p + 2)*(2*p - 1)*(5*p + 2)
Factor x**3/2 + 5*x**2 + 9*x/2.
x*(x + 1)*(x + 9)/2
Suppose -3*t**3/7 - 1227*t**2/7 - 174*t + 2448/7 = 0. Calculate t.
-408, -2, 1
Factor -166375*p**4 - 1034550*p**3 - 2144340*p**2 - 1481544*p.
-p*(55*p + 114)**3
Factor 8*i**3/7 - 6*i**2 + 58*i/7 - 12/7.
2*(i - 3)*(i - 2)*(4*i - 1)/7
Solve -3*l**5/7 + 30*l**4/7 + 9*l**3/7 - 12*l**2 - 60*l/7 = 0 for l.
-1, 0, 2, 10
Suppose -k**5/3 + 14*k**4/3 + 96*k**3 - 1728*k**2 + 2304*k + 41472 = 0. Calculate k.
-18, -4, 12
Let 2*x**5/5 - 146*x**4 + 2174*x**3/5 - 718*x**2/5 - 2176*x/5 + 1448/5 = 0. What is x?
-1, 1, 2, 362
Factor -n**4 - 277*n**3 - 1634*n**2 - 2168*n.
-n*(n + 2)*(n + 4)*(n + 271)
Suppose -4*x**3/3 - 29*x**2 + 22*x/3 = 0. What is x?
-22, 0, 1/4
Factor -z**5 + 2*z**3 - z.
-z*(z - 1)**2*(z + 1)**2
Let 2*p**5 + 22*p**4 - 38*p**3 - 142*p**2 + 300*p - 144 = 0. Calculate p.
-12, -3, 1, 2
Suppose 7*c**4/4 - 73*c**3/4 - 807*c**2/4 + 397*c/4 + 119 = 0. What is c?
-7, -4/7, 1, 17
Factor -6*s**4/7 - 78*s**3/7 - 276*s**2/7 - 288*s/7.
-6*s*(s + 2)*(s + 3)*(s + 8)/7
Factor -5*u**2 - 1170*u.
-5*u*(u + 234)
Find h, given that -2*h**2 - 2*h = 0.
-1, 0
What is k in -2*k**3/7 - 180*k**2/7 - 354*k/7 - 176/7 = 0?
-88, -1
Determine w, given that -3*w**4 - 13*w**3 + 11*w**2 + 5*w = 0.
-5, -1/3, 0, 1
Find a such that 2*a**2/7 + 64*a/7 = 0.
-32, 0
Factor -5*w**2/3 + 190*w - 5415.
-5*(w - 57)**2/3
Let -b**2/5 - 3774*b/5 - 3560769/5 = 0. Calculate b.
-1887
Solve -6*s**2/5 - 3384*s/5 - 477144/5 = 0 for s.
-282
Let -111*q**3 - 120*q**2 + 213*q + 18 = 0. Calculate q.
-2, -3/37, 1
What is r in 3*r**4 - 876*r**3 + 62172*r**2 + 259296*r + 262848 = 0?
-2, 148
Find s such that -4*s**3 + 864*s**2 + 3540*s - 4400 = 0.
-5, 1, 220
Let i**4/5 + 44*i**3/5 + 96*i**2 - 176*i/5 - 1936/5 = 0. What is i?
-22, -2, 2
Solve 3*b**4 + 1046*b**3 - 2452*b**2 + 1754*b - 351 = 0 for b.
-351, 1/3, 1
Determine q, given that 2*q**5 + 2*q**4 - 12*q**3 + 4*q**2 + 10*q - 6 = 0.
-3, -1, 1
Determine r, given that 4*r**2 + 116*r + 720 = 0.
-20, -9
Let -k**3/6 + 5*k**2/6 + 4*k/3 - 2 = 0. Calculate k.
-2, 1, 6
Factor 5*r**3 - 50*r**2 - 65*r + 110.
5*(r - 11)*(r - 1)*(r + 2)
Solve 5*f**2 + 25*f - 180 = 0.
-9, 4
What is i in -196*i**5 - 1652*i**4 - 3712*i**3 - 592*i**2 + 1408*i - 256 = 0?
-4, -1, 2/7
Determine c so that -c**3/3 + 2*c**2/3 + 3*c - 6 = 0.
-3, 2, 3
Factor -2*i**4 - 4*i**3 + 2*i**2 + 4*i.
-2*i*(i - 1)*(i + 1)*(i + 2)
Factor c**2/3 + c/3 - 30.
(c - 9)*(c + 10)/3
Find l such that -l**2/3 - 1234*l/3 - 380689/3 = 0.
-617
Solve -5*j**3 - 105*j**2 - 490*j = 0.
-14, -7, 0
Determine p, given that -4*p**4 - 44*p**3 + 156*p**2 + 1836*p - 1944 = 0.
-9, 1, 6
Solve 3*f**4/8 - 9*f**3/4 - 9*f**2/8 + 39*f/2 - 45/2 = 0.
-3, 2, 5
Let -3*n**4 - 21*n**3 - 15*n**2 + 93*n + 90 = 0. What is n?
-5, -3, -1, 2
What is v in 3*v**2 - 2391*v - 2394 = 0?
-1, 798
Find u such that 3*u**5 + 27*u**4 + 93*u**3 + 153*u**2 + 120*u + 36 = 0.
-3, -2, -1
Solve -3*c**5 + 57*c**4 - 294*c**3 + 186*c**2 + 297*c - 243 = 0.
-1, 1, 9
Factor -p**2/5 + 702*p/5.
-p*(p - 702)/5
Factor -3*x**2 - 414*x - 14283.
-3*(x + 69)**2
Factor y**2/5 + 3*y + 14/5.
(y + 1)*(y + 14)/5
Factor f**3/3 - f**2 + f - 1/3.
(f - 1)**3/3
Solve -3*y**4/8 + 3*y**3/2 + 39*y**2/8 - 3*y/2 - 9/2 = 0 for y.
-2, -1, 1, 6
Determine i, given that -i**4 - 54*i**3 - 53*i**2 = 0.
-53, -1, 0
Factor x**3 - 129*x**2 + 5547*x - 79507.
(x - 43)**3
Suppose -2*i**4 + 48*i**3 + 106*i**2 - 48*i - 104 = 0. Calculate i.
-2, -1, 1, 26
Find c, given that c**2 + 73*c + 210 = 0.
-70, -3
Factor -b**2/3 + 314*b/3 + 749.
-(b - 321)*(b + 7)/3
Factor 4*q**2 - 1168*q + 1164.
4*(q - 291)*(q - 1)
What is o in 3*o**4 + 327*o**3 + 8745*o**2 - 9075*o = 0?
-55, 0, 1
Let -3*u**5/8 - 15*u**4/2 - 36*u**3 - 66*u**2 - 42*u = 0. Calculate u.
-14, -2, 0
Determine u so that -6*u**3/5 + 1458*u**2 - 590490*u + 79716150 = 0.
405
Factor 3*d**2 + 738*d + 45387.
3*(d + 123)**2
Suppose 5*r**3 - 10*r**2 - 285*r - 270 = 0. Calculate r.
-6, -1, 9
Solve 7*l**4 + 93*l**3 + 180*l**2 + 44*l = 0 for l.
-11, -2, -2/7, 0
Factor j**5/3 + 125*j**4/3 + 124*j**3/3.
j**3*(j + 1)*(j + 124)/3
Determine p so that -25*p**5 - 9*p**4 = 0.
-9/25, 0
Solve z**3/5 + 6*z**2/5 + 9*z/5 + 4/5 = 0.
-4, -1
Solve 13*p**3/3 - 128*p**2/3 + 305*p/3 + 50/3 = 0.
-2/13, 5
Determine p so that -p**4 - 21*p**3 - 18*p**2 + 40*p = 0.
-20, -2, 0, 1
Solve -25*k**5 + 130*k**4 - 185*k**3 + 80*k**2 = 0.
0, 1, 16/5
Solve -4*z**4/3 - 436*z**3/3 + 148*z**2 + 436*z/3 - 440/3 = 0 for z.
-110, -1, 1
Determine i so that 4*i**4 - 20*i**3 + 12*i**2 + 20*i - 16 = 0.
-1, 1, 4
Determine s, given that 5*s**4 + 20*s**3 + 20*s**2 = 0.
-2, 0
Determine a so that -4*a**2/7 + 5120*a/7 + 10256/7 = 0.
-2, 1282
What is m in 4*m**4 - 21488*m**3 + 43287576*m**2 - 38756809712*m + 13012598860804 = 0?
1343
Factor -4*b**4/3 - 440*b**3 - 35856*b**2 + 220448*b/3.
-4*b*(b - 2)*(b + 166)**2/3
Suppose k**4/5 + 3*k**3 + 12*k**2/5 - 28*k/5 = 0. What is k?
-14, -2, 0, 1
Solve 15*o**2/8 - 119*o/8 + 13 = 0.
1, 104/15
Determine d, given that -2*d**5/9 - 496*d**4/9 + 998*d**3/9 - 500*d**2/9 = 0.
-250, 0, 1
Factor -2*c**2/3 - 2080*c/3 - 540800/3.
-2*(c + 520)**2/3
Let 4*p**2/3 + 62*p/3 - 572/3 = 0. What is p?
-22, 13/2
Let p**3 - 61*p**2 + 231*p - 171 = 0. Calculate p.
1, 3, 57
What is p in 2*p**4/5 - 3418*p**3/5 + 1942542*p**2/5 - 364513838*p/5 - 1489355288/5 = 0?
-4, 571
Find d, given that 6*d**5 - 18*d**4 - 21*d**3/2 + 69*d**2 - 54*d + 12 = 0.
-2, 1/2, 2
What is v in -3*v**3 - 225*v**2 - 3861*v + 13689 = 0?
-39, 3
Factor -3*d**3 - 260*d**2 - 676*d - 336.
-(d + 2)*(d + 84)*(3*d + 2)
Let x**5 + 2*x**4 - 12*x**3 - 18*x**