8 + 3783*z/8 = 0. What is z?
0, 1261
Determine z so that -z**4/8 - 17*z**3/8 + 27*z**2/8 + 1701*z/8 + 3645/4 = 0.
-9, 10
Solve 78*a**2/7 - 174*a/7 + 36/7 = 0 for a.
3/13, 2
Factor -4*h**4 + 28*h**3 - 64*h**2 + 48*h.
-4*h*(h - 3)*(h - 2)**2
Suppose 4*a**3 - 1052*a**2 + 69692*a - 68644 = 0. Calculate a.
1, 131
Find y, given that -5*y**2/3 - 104*y/3 + 215 = 0.
-129/5, 5
Factor -3*r**5 - 132*r**4 + 414*r**3 - 420*r**2 + 141*r.
-3*r*(r - 1)**3*(r + 47)
Let -4*l**5/3 + 33*l**4 - 331*l**3/3 + 113*l**2 - 61*l/3 - 14 = 0. What is l?
-1/4, 1, 2, 21
Let -3*j**5/7 + 15*j**4/7 + 3*j**3 - 33*j**2 + 414*j/7 - 216/7 = 0. Calculate j.
-4, 1, 2, 3
Factor 2*u**4/5 + 4*u**3 + 34*u**2/5 - 56*u/5.
2*u*(u - 1)*(u + 4)*(u + 7)/5
Factor 2*n**3 + 250*n**2 + 7686*n - 7938.
2*(n - 1)*(n + 63)**2
Factor -a**2/6 + 11*a/6 + 2.
-(a - 12)*(a + 1)/6
Suppose -2*b**2 - 630*b = 0. What is b?
-315, 0
Find g such that -g**4/6 + 2*g**3 - 7*g**2/6 - 38*g + 112/3 = 0.
-4, 1, 7, 8
Factor l**2/4 + 99*l/2 + 9801/4.
(l + 99)**2/4
Suppose -20*m**4 + 245*m**3 - 960*m**2 + 1305*m - 270 = 0. What is m?
1/4, 3, 6
Factor 2*n**2/7 - 36*n/7 + 160/7.
2*(n - 10)*(n - 8)/7
Determine w, given that -4*w**2 - 296*w = 0.
-74, 0
What is d in -4*d**4 - 24*d**3 - 20*d**2 + 48*d = 0?
-4, -3, 0, 1
Factor h**4/4 - 14*h**3 - 177*h**2/4.
h**2*(h - 59)*(h + 3)/4
Determine h so that h**2/3 + 44*h/3 + 484/3 = 0.
-22
Suppose 2*o**2/7 + 374*o/7 - 4776/7 = 0. What is o?
-199, 12
Solve -q**2 - 159*q + 160 = 0.
-160, 1
Factor b**4 + 7*b**3 - b**2 - 7*b.
b*(b - 1)*(b + 1)*(b + 7)
Solve 3*f**5 + 21*f**4 + 48*f**3 + 36*f**2 = 0 for f.
-3, -2, 0
Let 36*r**3 + 18156*r**2 - 12116*r + 2020 = 0. What is r?
-505, 1/3
Factor 3*g**5 + 12*g**4 - 9*g**3 - 30*g**2 + 24*g.
3*g*(g - 1)**2*(g + 2)*(g + 4)
Solve -2*z**3 - 182*z**2/5 - 846*z/5 - 162/5 = 0.
-9, -1/5
Solve -43*x**3/5 + 342*x**2/5 - 672*x/5 - 32/5 = 0.
-2/43, 4
Factor g**2/9 + 61*g/9 + 118/9.
(g + 2)*(g + 59)/9
Factor -2*i**3/9 - 28*i**2/9 + 136*i/9 - 16.
-2*(i - 2)**2*(i + 18)/9
Factor k**2/5 + 152*k/5 - 1449/5.
(k - 9)*(k + 161)/5
Solve -f**3 - 8*f**2 + f + 8 = 0 for f.
-8, -1, 1
Determine j, given that j**2/6 - 253*j + 192027/2 = 0.
759
Solve -3*b**4/2 + 723*b**3 + 2901*b**2/2 + 726*b = 0 for b.
-1, 0, 484
Factor 2*c**3 - 67*c**2/3 + 78*c - 248/3.
(c - 4)*(c - 2)*(6*c - 31)/3
Determine i so that 4*i**3 - 264*i**2 + 972*i + 1240 = 0.
-1, 5, 62
Let -4*q**2 + 2056*q - 4096 = 0. Calculate q.
2, 512
Factor 3*m**2/5 - 120*m + 6000.
3*(m - 100)**2/5
Solve 3*d**4 - 126*d**3 + 120*d**2 + 126*d - 123 = 0 for d.
-1, 1, 41
Determine t, given that 3*t**5/4 + 81*t**4/4 + 303*t**3/2 + 432*t**2 + 408*t = 0.
-17, -4, -2, 0
Factor 2*s**4/3 + 20*s**3/3 + 6*s**2.
2*s**2*(s + 1)*(s + 9)/3
Solve 5*s**3 - 360*s**2 + 8640*s - 69120 = 0 for s.
24
Determine g, given that 5*g**3 + 12*g**2 + 9*g + 2 = 0.
-1, -2/5
Factor 2*d**2 - 780*d + 778.
2*(d - 389)*(d - 1)
Suppose -25*j**3 + 590*j**2 - 860*j - 440 = 0. Calculate j.
-2/5, 2, 22
Find h, given that -10*h**4/17 - 86*h**3/17 - 164*h**2/17 - 40*h/17 + 48/17 = 0.
-6, -2, -1, 2/5
Factor -o**5 - 2*o**4 + o**3 + 2*o**2.
-o**2*(o - 1)*(o + 1)*(o + 2)
Solve -10*c**5/13 - 36*c**4/13 + 126*c**3/13 - 8*c**2 + 24*c/13 = 0 for c.
-6, 0, 2/5, 1
Suppose -2*r**3/5 + 44*r**2/5 + 8*r/5 - 176/5 = 0. Calculate r.
-2, 2, 22
Determine s so that -2*s**5/9 - 8*s**4/9 + 122*s**3/9 - 328*s**2/9 + 88*s/3 = 0.
-11, 0, 2, 3
Determine g, given that 8*g**5/7 + 74*g**4/7 + 186*g**3/7 + 194*g**2/7 + 86*g/7 + 12/7 = 0.
-6, -1, -1/4
Solve v**4/3 - 76*v**3/3 + 1034*v**2/3 - 1844*v/3 + 295 = 0 for v.
1, 15, 59
Find y such that -2*y**3 + 10*y**2 + 82*y - 90 = 0.
-5, 1, 9
Let q**5/2 + 63*q**4/2 - 129*q**3/2 + 65*q**2/2 = 0. What is q?
-65, 0, 1
Find r, given that -2*r**5 + 10*r**4 + 4*r**3 - 20*r**2 - 2*r + 10 = 0.
-1, 1, 5
Factor -5*z**4 + 45*z**3 + 260*z**2.
-5*z**2*(z - 13)*(z + 4)
Let -126*n**4/5 - 2222*n**3/5 - 3208*n**2/5 + 280*n - 128/5 = 0. What is n?
-16, -2, 1/7, 2/9
Determine q, given that -2*q**5/15 - 4*q**4/3 + 8*q**3/5 + 4*q**2/3 - 22*q/15 = 0.
-11, -1, 0, 1
Determine d, given that -2*d**5/15 - 14*d**4/15 + 34*d**3/15 + 66*d**2/5 - 144*d/5 + 72/5 = 0.
-6, 1, 3
Determine s, given that -4*s**5/7 + 20*s**4/7 - 36*s**3/7 + 4*s**2 - 8*s/7 = 0.
0, 1, 2
Factor 4*d**5 - 8*d**4 - 28*d**3 - 16*d**2.
4*d**2*(d - 4)*(d + 1)**2
Suppose 5*b**2 + 2110*b + 2105 = 0. Calculate b.
-421, -1
Factor 81*k**5 - 279*k**4 - 212*k**3 + 132*k**2 - 16*k.
k*(k - 4)*(k + 1)*(9*k - 2)**2
Factor 4*r**2 + 6712*r + 2815684.
4*(r + 839)**2
Factor -5*r**3 - 65*r**2 - 150*r.
-5*r*(r + 3)*(r + 10)
Let -2*v**2/7 + 3452*v/7 - 1489538/7 = 0. Calculate v.
863
Factor 2*d**2 - 180*d - 4400.
2*(d - 110)*(d + 20)
Factor 2*k**2 - 30*k - 32.
2*(k - 16)*(k + 1)
Determine m, given that -4*m**4 + 24*m**3 + 92*m**2 - 384*m - 448 = 0.
-4, -1, 4, 7
Determine a, given that -72*a**5 - 322*a**4 - 356*a**3 - 118*a**2 - 12*a = 0.
-3, -1, -1/4, -2/9, 0
Find w such that 3*w**2 + 30*w - 33 = 0.
-11, 1
Suppose 31*m**4 - 343*m**3 + 332*m**2 - 20*m = 0. Calculate m.
0, 2/31, 1, 10
Factor -k**3 + k**2 + 16*k - 16.
-(k - 4)*(k - 1)*(k + 4)
Factor s**4/6 + 44*s**3 + 4356*s**2 + 191664*s + 3162456.
(s + 66)**4/6
Suppose 8*f**2 - 12*f = 0. What is f?
0, 3/2
Determine t, given that -3*t**5/4 + 39*t**4/4 - 9*t**3 = 0.
0, 1, 12
Factor r**3/4 + r**2/2 + r/4.
r*(r + 1)**2/4
Determine z so that -3*z**3/5 - 51*z**2/5 + 12*z/5 + 204/5 = 0.
-17, -2, 2
Factor -5*w**4 - 90*w**3 + 15*w**2 + 260*w - 180.
-5*(w - 1)**2*(w + 2)*(w + 18)
Factor 363*c**2/7 + 990*c + 4725.
3*(11*c + 105)**2/7
Factor -2*m**2/5 - 2896*m/5 - 1048352/5.
-2*(m + 724)**2/5
Factor 2*m**3/7 + 12*m**2/7 + 18*m/7.
2*m*(m + 3)**2/7
Let 2*n**4/3 + 4*n**3/3 - 806*n**2/3 - 3208*n/3 - 1064 = 0. What is n?
-19, -2, 21
What is n in -33*n**3/2 - 24*n**2 + 135*n/2 - 27 = 0?
-3, 6/11, 1
Find n such that n**2 - 6968*n + 12138256 = 0.
3484
Let 15*g**5/7 - 354*g**4/7 - 909*g**3/7 - 696*g**2/7 - 156*g/7 = 0. Calculate g.
-1, -2/5, 0, 26
Let -f**5 + 2*f**4 + 25*f**3 - 110*f**2 + 156*f - 72 = 0. Calculate f.
-6, 1, 2, 3
Factor -4*o**2/7 + 120*o/7 + 256/7.
-4*(o - 32)*(o + 2)/7
Find l, given that 8*l**5/11 + 50*l**4/11 - 684*l**3/11 - 4142*l**2/11 + 3616*l/11 + 1152/11 = 0.
-8, -1/4, 1, 9
Determine w, given that -44*w**4 - 92*w**3 + 168*w**2 + 368*w + 32 = 0.
-2, -1/11, 2
Suppose -2*o**5/5 - 136*o**4/5 - 2436*o**3/5 - 792*o**2 + 6534*o/5 = 0. What is o?
-33, -3, 0, 1
What is g in 3*g**3 + 237*g**2 - 3*g - 237 = 0?
-79, -1, 1
Determine w so that 2*w**2/5 - 92*w/5 + 1058/5 = 0.
23
Suppose -2*s**2/5 + 98*s/5 - 188/5 = 0. What is s?
2, 47
Factor -3*w**3/2 - 1242*w**2 - 342792*w - 31536864.
-3*(w + 276)**3/2
Factor 3*l**5/7 + 51*l**4/7 + 264*l**3/7 + 216*l**2/7 - 1296*l/7 - 1296/7.
3*(l - 2)*(l + 1)*(l + 6)**3/7
Suppose -3*n**3 - 132*n**2 - 255*n - 126 = 0. Calculate n.
-42, -1
Factor 5*h**2 - 5020*h + 1260020.
5*(h - 502)**2
Let -2*g**3/3 + 4*g**2/3 + 10*g/3 - 4 = 0. Calculate g.
-2, 1, 3
What is z in -4*z**2/7 + 1000*z/7 + 1004/7 = 0?
-1, 251
Factor -2*i**2 + 84*i.
-2*i*(i - 42)
Let 20*o**5 + 64*o**4 + 52*o**3 + 8*o**2 = 0. What is o?
-2, -1, -1/5, 0
Factor 2*b**2/3 - 94*b/3 - 32.
2*(b - 48)*(b + 1)/3
Factor -w**3/2 - 9*w**2/2 + 57*w/2 + 65/2.
-(w - 5)*(w + 1)*(w + 13)/2
Factor -7*g**2/2 - 221*g/2 + 48.
-(g + 32)*(7*g - 3)/2
Let -2*v**3 - 28*v**2 = 0. Calculate v.
-14, 0
What is o in -5*o**4 - 20*o**3 + 30*o**2 + 20*o - 25 = 0?
-5, -1, 1
Factor -291*x**2 + 289*x + 2.
-(x - 1)*(291*x + 2)
Find x such that 2*x**3 - 24*x**2 + 90*x - 108 = 0.
3, 6
Solve 4*v**2 + 88*v + 228 = 0.
-19, -3
Find q, given that q**3 + 41*q**2 - 85*q + 43 = 0.
-43, 1
Factor -2*f**4/9 + 10*f**3/9 - 2*f**2 + 14*f/9 - 4/9.
-2*(f - 2)*(f - 1)**3/9
Factor -5*o**4/3 + 5*o**3/3 + 25*o**2/3 + 5*o.
-5*o*(o - 3)*(o + 1)**2/3
Factor -2*h**2/3 + 10*h - 100/3.
-2*(h - 10)*(h - 5)/3
Determine o, given that -18*o**4 + 3468*o**3 - 5744*o**2 + 2676*o - 382 = 0.
1/3, 1, 191
Factor -k**2 - 116*k + 480.
-(k - 4)*(k + 120)
Solve 498*k**3 + 1996*k**2 + 2008*k + 16 = 0 for k.
-2, -2/249
Solve -11*p**4/3 - 188*p**3 - 414*p**2 - 836*p/3 - 49 = 0 for p.
-49, -1, -3/11
Solve -t**3/5 + 32*t**2/5 + 28*t + 144/5 = 0 for t.
-2, 36
Determine p so that 1428*p**2 + 4*p = 0.
-1/357, 0
Factor l**4 + 30*l**3 - 108*l**2 - 302*l - 165.
(l - 5)*(l + 1)**2*(l + 33)
Le