 0. Calculate x.
4, 73
Let -2*r**2 - 2504*r - 783752 = 0. What is r?
-626
Factor q**4/4 + 35*q**3 - 3*q**2/4 - 211*q/2 - 70.
(q - 2)*(q + 1)**2*(q + 140)/4
Suppose 3*w**4 + 6*w**3 - 75*w**2 - 150*w = 0. Calculate w.
-5, -2, 0, 5
Factor -a**3/3 + 11*a**2/3 + 4*a.
-a*(a - 12)*(a + 1)/3
What is o in 4*o**2 + 276*o + 536 = 0?
-67, -2
Factor 3*r**3/5 + 297*r**2/5 + 9801*r/5 + 107811/5.
3*(r + 33)**3/5
Factor 66*b**2 + 212*b/7 + 16/7.
2*(11*b + 4)*(21*b + 2)/7
Solve 25*c**4 - 3180*c**3 + 610*c**2 + 3180*c - 635 = 0 for c.
-1, 1/5, 1, 127
Find z such that 2*z**3 - 138*z**2 - 432*z = 0.
-3, 0, 72
Let 4*j**2/7 + 184*j/7 - 212 = 0. Calculate j.
-53, 7
Factor 3*i**4 - 30*i**3 - 153*i**2 - 204*i - 84.
3*(i - 14)*(i + 1)**2*(i + 2)
Let 12*p**3 - 38*p**2 + 32*p - 8 = 0. Calculate p.
1/2, 2/3, 2
Find i such that -4*i**2 - 148*i + 152 = 0.
-38, 1
Find q, given that -4*q**5/5 + 3*q**4 - q**3 - 3*q**2 + 9*q/5 = 0.
-1, 0, 3/4, 1, 3
Factor -h**2/3 - 968*h/3 - 234256/3.
-(h + 484)**2/3
Factor p**2 + 19*p + 34.
(p + 2)*(p + 17)
Factor -2*w**3 + 19488*w**2 - 63297024*w + 68529577984.
-2*(w - 3248)**3
Solve 2*l**4 - 32*l**3 + 106*l**2 - 124*l + 48 = 0.
1, 2, 12
Factor -v**2 - 231*v - 458.
-(v + 2)*(v + 229)
Determine n so that 18*n**5 - 323*n**4/2 - 155*n**3/2 + 655*n**2 + 22*n - 36 = 0.
-2, -1/4, 2/9, 2, 9
Let m**3/9 - 14*m**2/9 - 49*m/9 - 34/9 = 0. What is m?
-2, -1, 17
Factor -l**2.
-l**2
Factor 2*x**2/7 - 10*x - 312/7.
2*(x - 39)*(x + 4)/7
Solve -v**3/5 - 11*v**2 - 474*v/5 - 216 = 0 for v.
-45, -6, -4
Factor 2*c**3/7 - 12*c**2/7 + 16*c/7.
2*c*(c - 4)*(c - 2)/7
Factor -2*o**3/11 + 2*o**2/11 + 24*o/11.
-2*o*(o - 4)*(o + 3)/11
Factor -4*r**3/5 + 3*r**2/5.
-r**2*(4*r - 3)/5
What is c in 15*c**2 + 1353*c + 270 = 0?
-90, -1/5
Factor 2*s**2 + 124*s + 1922.
2*(s + 31)**2
Factor r**5/2 - 2*r**4 + 2*r**3 + r**2 - 5*r/2 + 1.
(r - 2)*(r - 1)**3*(r + 1)/2
Factor 4*k**4 + 52*k**3 + 160*k**2 + 144*k.
4*k*(k + 2)**2*(k + 9)
Find s, given that 2*s**3 + 12*s**2 - 74*s + 60 = 0.
-10, 1, 3
Find u, given that 3*u**5 + 18*u**4 + 27*u**3 - 12*u**2 - 36*u = 0.
-3, -2, 0, 1
Factor w**5/7 + 5*w**4/7 - w**3 - 5*w**2/7 + 6*w/7.
w*(w - 1)**2*(w + 1)*(w + 6)/7
Factor -2*s**3 + 42*s**2 - 144*s + 136.
-2*(s - 17)*(s - 2)**2
Solve -2*b**2/11 - 24*b/11 + 26/11 = 0 for b.
-13, 1
Let 2*m**2/5 - 22*m - 228/5 = 0. Calculate m.
-2, 57
Factor z**3/3 - 62*z**2/3 + 881*z/3 - 820/3.
(z - 41)*(z - 20)*(z - 1)/3
Factor -4*p**2/3 + 20*p + 64/3.
-4*(p - 16)*(p + 1)/3
Factor -5*m**2 + 280*m + 285.
-5*(m - 57)*(m + 1)
Factor 3*o**3/4 - 36*o**2 + 891*o/4 - 615/2.
3*(o - 41)*(o - 5)*(o - 2)/4
Suppose -8*y**5 + 2*y**4 + 56*y**3 - 62*y**2 + 12*y = 0. Calculate y.
-3, 0, 1/4, 1, 2
What is c in 2*c**2/11 + 544*c/11 + 36992/11 = 0?
-136
Solve 3*l**3 - 156*l**2 - 324*l = 0 for l.
-2, 0, 54
Factor m**3/6 + 10*m**2 + 231*m/2 + 1127/3.
(m + 7)**2*(m + 46)/6
Find l such that -l**4 + 14*l**3 - 61*l**2 + 84*l - 36 = 0.
1, 6
Factor 2*w**2/11 + 432*w/11 + 430/11.
2*(w + 1)*(w + 215)/11
Factor y**2/2 - 14*y + 195/2.
(y - 15)*(y - 13)/2
Factor n**5/2 - n**4/2 - 3*n**3 + 7*n**2 - 11*n/2 + 3/2.
(n - 1)**4*(n + 3)/2
Factor 1369*g**3 - 1221*g**2 - 144*g - 4.
(g - 1)*(37*g + 2)**2
Find x such that -2*x**5 - 72*x**4 - 778*x**3 - 2372*x**2 - 2688*x - 1024 = 0.
-16, -2, -1
Solve s**3/2 + 150*s**2 + 299*s/2 = 0 for s.
-299, -1, 0
Solve 5*x**3 - 225*x**2 - 230*x = 0.
-1, 0, 46
Solve -v**3/4 + 483*v**2/4 - 14520*v - 14641 = 0 for v.
-1, 242
What is x in 2*x**4/13 + 22*x**3/13 - 58*x**2/13 - 6*x = 0?
-13, -1, 0, 3
Factor -5*f**4/4 + 25*f**3/2 - 85*f**2/4 + 10*f.
-5*f*(f - 8)*(f - 1)**2/4
Factor -z**2/8 - 3*z/8 + 1/2.
-(z - 1)*(z + 4)/8
Determine c so that -c**3 + 39*c**2 - 264*c - 2420 = 0.
-5, 22
Solve 3*s**5/4 - 69*s**4/4 - 159*s**3/4 + 213*s**2/4 + 78*s - 75 = 0.
-2, 1, 25
Determine k, given that 20*k**4 + 172*k**3 - 512*k**2 + 176*k = 0.
-11, 0, 2/5, 2
Find a such that -a**3 + 67*a**2 - 131*a + 65 = 0.
1, 65
Solve 2*a**2/7 + 712*a/7 + 63368/7 = 0.
-178
Let -5*d**2 + 20310*d - 20624805 = 0. What is d?
2031
Determine d, given that -2*d**5 + 194*d**3 - 528*d**2 = 0.
-11, 0, 3, 8
Factor t**5/3 - 5*t**4/3 + 4*t**3/3.
t**3*(t - 4)*(t - 1)/3
Factor 3*w**3/5 - 177*w**2/5 + 1584*w/5.
3*w*(w - 48)*(w - 11)/5
Suppose u**2 + 290*u = 0. Calculate u.
-290, 0
Suppose -2*v**3 + 42*v**2 - 112*v - 768 = 0. What is v?
-3, 8, 16
What is w in 3*w**4 - 21*w**3 - 57*w**2 + 21*w + 54 = 0?
-2, -1, 1, 9
Factor 5*c**2 - 75*c - 80.
5*(c - 16)*(c + 1)
Let -a**2/9 + 8*a/9 - 7/9 = 0. What is a?
1, 7
Factor -i**2 - 24*i + 52.
-(i - 2)*(i + 26)
Determine w so that w**4 - 9*w**3 - 21*w**2 - 11*w = 0.
-1, 0, 11
Let 2*o**4 - 82*o**3 - 264*o**2 - 8*o + 352 = 0. What is o?
-2, 1, 44
Factor -3*d**5/5 + 6*d**4/5 + 36*d**3/5 - 24*d**2 + 96*d/5.
-3*d*(d - 2)**3*(d + 4)/5
Find y such that -2*y**3/7 + 8*y**2/7 - 6*y/7 = 0.
0, 1, 3
Factor 4*q**2/3 - 3332*q/3 - 3344.
4*(q - 836)*(q + 3)/3
Find s such that 5*s**3 + 230*s**2 + 225*s = 0.
-45, -1, 0
Factor w**4 - 15*w**3/4 - w**2.
w**2*(w - 4)*(4*w + 1)/4
Determine q, given that 2*q**3/7 - 5118*q**2/7 = 0.
0, 2559
Let -28*t**5 - 27*t**4 + 24*t**3 + 17*t**2 - 6*t = 0. What is t?
-1, 0, 2/7, 3/4
Factor -n**3 - 34*n**2 - 364*n - 1176.
-(n + 6)*(n + 14)**2
Factor 64*j**3/3 - 24736*j**2/3 + 2414660*j/3 - 4730888/3.
4*(j - 2)*(4*j - 769)**2/3
Solve 5*l**5 - 690*l**4 + 24485*l**3 - 46920*l**2 + 23120*l = 0.
0, 1, 68
Solve -16*r**3 - 628*r**2 - 156*r = 0.
-39, -1/4, 0
Determine f, given that -f**2/4 + 17*f/4 - 33/2 = 0.
6, 11
Factor 3*r**4/7 + 54*r**3/7 + 141*r**2/7 + 90*r/7.
3*r*(r + 1)*(r + 2)*(r + 15)/7
Determine g, given that -2*g**3 - 9104*g**2 - 10360352*g = 0.
-2276, 0
Find f such that 2*f**3/5 + 47*f**2/5 - 248*f/5 + 112/5 = 0.
-28, 1/2, 4
Find a such that 45*a**2/8 + 3*a/4 = 0.
-2/15, 0
Find d such that -3*d**3/4 + 28*d**2 + 357*d/4 + 121/2 = 0.
-2, -1, 121/3
Suppose 2*k**5/19 - 42*k**4/19 + 274*k**3/19 - 558*k**2/19 + 324*k/19 = 0. Calculate k.
0, 1, 2, 9
Factor -2*i**3/9 + 3952*i**2/9.
-2*i**2*(i - 1976)/9
Factor -b**4/2 + 27*b**3 - 432*b**2 + 1728*b.
-b*(b - 24)**2*(b - 6)/2
Let x**5 - 32*x**4 - 451*x**3 - 1006*x**2 + 2508*x + 3096 = 0. Calculate x.
-6, -1, 2, 43
Solve 162*u**5 - 1854*u**4 + 638*u**3 + 1766*u**2 - 800*u + 88 = 0 for u.
-1, 2/9, 1, 11
Suppose -u**5 - 87*u**4 + 361*u**3 - 277*u**2 - 360*u + 364 = 0. Calculate u.
-91, -1, 1, 2
Factor 4*c**4 - 92*c**3 - 528*c**2 - 880*c - 448.
4*(c - 28)*(c + 1)*(c + 2)**2
Factor -5*v**4 + 540*v**3 - 21870*v**2 + 393660*v - 2657205.
-5*(v - 27)**4
Let 3*m**4 + 36*m**3 + 129*m**2 + 180*m + 84 = 0. Calculate m.
-7, -2, -1
Find n such that -2*n**2/7 + 20*n/7 + 22/7 = 0.
-1, 11
Find x, given that -3*x**4 - 582*x**3 - 30459*x**2 - 216504*x - 415152 = 0.
-93, -4
What is r in 2*r**4/9 + 334*r**3/9 - 676*r**2/9 = 0?
-169, 0, 2
Let -d**2/2 + 1301*d/4 + 651/4 = 0. What is d?
-1/2, 651
Factor -3*g**3 - 5538*g**2 - 2561316*g - 5100504.
-3*(g + 2)*(g + 922)**2
Determine w so that 15*w**5 - 441*w**4 + 159*w**3 + 441*w**2 - 174*w = 0.
-1, 0, 2/5, 1, 29
Determine s so that -s**3/6 - 11*s**2/6 + 2*s = 0.
-12, 0, 1
Solve 2*k**4/19 - 14*k**3/19 - 242*k**2/19 + 14*k/19 + 240/19 = 0 for k.
-8, -1, 1, 15
Let 4*p**2 - 12*p - 160 = 0. What is p?
-5, 8
Solve 2*w**5/5 + 2*w**4 + 16*w**3/5 + 8*w**2/5 = 0.
-2, -1, 0
Determine n, given that -4*n**5 - 12*n**4 + 16*n**3 = 0.
-4, 0, 1
Factor -w**3 + 7*w + 6.
-(w - 3)*(w + 1)*(w + 2)
Find l such that -6*l**5/5 - l**4/5 + 12*l**3/5 + 2*l**2/5 - 6*l/5 - 1/5 = 0.
-1, -1/6, 1
Suppose -p**2/6 + 99*p/2 = 0. What is p?
0, 297
Determine n so that 4*n**5 - 40*n**4 - 100*n**3 + 40*n**2 + 96*n = 0.
-2, -1, 0, 1, 12
Find m, given that -2*m**5/3 + 10*m**4/3 - 14*m**3/3 + 2*m**2 = 0.
0, 1, 3
Find o, given that -4*o**2 - 1952*o - 238144 = 0.
-244
Solve -2*y**2 + 26*y - 44 = 0.
2, 11
Solve x**4/8 + 15*x**3/8 + 27*x**2/8 - 103*x/8 + 15/2 = 0.
-12, -5, 1
Factor 2*s**4/9 - 4*s**3/3 + 26*s**2/9 - 8*s/3 + 8/9.
2*(s - 2)**2*(s - 1)**2/9
Factor -4*a**5 - 32*a**4 - 84*a**3 - 72*a**2.
-4*a**2*(a + 2)*(a + 3)**2
Find t, given that t**5 - 13*t**4 - t**3 + 13*t**2 = 0.
-1, 0, 1, 13
Factor -2*t**2 + 142*t - 1596.
-2*(t - 57)*(t - 14)
Suppose -2*o**2 - 134*o - 132 = 0. Calculate o.
-66, -1
Solve 3*r**3/5 + 9*r**2/5 - 18*r/5 - 24/5 = 0.
-4, -1, 2
Find o such that o**3/2 + o**2/2 - 28*o + 72 =