n**2 - 184*n + 62 = 0. Calculate n.
-31, 1
Determine g so that 3*g**4 - 939*g**3 + 73005*g**2 + 73947*g = 0.
-1, 0, 157
Let -c**3/7 - c**2/7 + 26*c/7 - 24/7 = 0. What is c?
-6, 1, 4
Factor 2*d**3/11 - 108*d**2 - 1190*d/11.
2*d*(d - 595)*(d + 1)/11
Find r, given that -7*r**4/3 - 10*r**3 - 43*r**2/3 - 8*r - 4/3 = 0.
-2, -1, -2/7
Find a such that -a**3/4 + a**2 + 203*a/4 + 441/2 = 0.
-7, 18
Solve w**2/3 - 112*w/3 + 37 = 0 for w.
1, 111
Factor -4*r**2/7 - 23816*r/7 - 35450116/7.
-4*(r + 2977)**2/7
Determine k, given that -k**5/4 - 17*k**4/2 - 51*k**3/4 + 203*k**2/2 - 80*k = 0.
-32, -5, 0, 1, 2
Suppose -a**5/3 - 20*a**4/3 - 50*a**3 - 500*a**2/3 - 625*a/3 = 0. Calculate a.
-5, 0
Factor 2*a**4 - 30*a**3 + 150*a**2 - 250*a.
2*a*(a - 5)**3
Factor 5*y**3/4 - 45*y**2 + 165*y - 160.
5*(y - 32)*(y - 2)**2/4
Find h such that 2*h**3/17 - 28*h**2/17 + 122*h/17 - 168/17 = 0.
3, 4, 7
What is l in -128*l**3/3 - 800*l**2 - 5000*l - 31250/3 = 0?
-25/4
Determine l so that -5*l**3 - 30*l**2 - 25*l + 60 = 0.
-4, -3, 1
Factor -r**3 - 201*r**2 + 202*r.
-r*(r - 1)*(r + 202)
Factor -9*r**4 + 42*r**3 + 69*r**2 + 18*r.
-3*r*(r - 6)*(r + 1)*(3*r + 1)
Find h such that -5*h**4/3 - 35*h**3/3 + 45*h**2 - 145*h/3 + 50/3 = 0.
-10, 1
Let -4*o**5 - 32*o**4/3 + 116*o**3/3 + 232*o**2/3 + 32*o = 0. Calculate o.
-4, -1, -2/3, 0, 3
Factor -12*g**3 - 10*g**2 + 242*g - 40.
-2*(g - 4)*(g + 5)*(6*g - 1)
Let 4*o**3 - 12*o**2 - 40*o = 0. Calculate o.
-2, 0, 5
Factor -5*n**2 - 7820*n - 3057620.
-5*(n + 782)**2
Let -4*i**4 + 4*i**3 + 4*i**2 - 4*i = 0. Calculate i.
-1, 0, 1
Suppose 2*m**2 - 6*m = 0. Calculate m.
0, 3
Determine w so that -w**3/5 + 13*w**2/5 + 153*w/5 + 63 = 0.
-5, -3, 21
Factor 4*x**3 + 40*x**2 - 16*x - 160.
4*(x - 2)*(x + 2)*(x + 10)
Find r such that -84*r**5 + 458*r**4 - 146*r**3 - 218*r**2 - 10*r = 0.
-1/2, -1/21, 0, 1, 5
Let 2*c**3 + 66*c**2 + 510*c - 578 = 0. Calculate c.
-17, 1
Find l, given that 2*l**5/3 + 422*l**4/3 + 140*l**3 = 0.
-210, -1, 0
Solve -x**5/3 - 8*x**4/3 + 23*x**3/3 + 134*x**2/3 - 476*x/3 + 392/3 = 0 for x.
-7, 2
Factor -a**2/6 + 25*a/6 + 14.
-(a - 28)*(a + 3)/6
Factor o**4/2 + 13127*o**3/2 + 28717500*o**2 + 41870110624*o - 41898834688.
(o - 1)*(o + 4376)**3/2
Suppose -p**3/7 + 25*p**2/7 - 46*p/7 = 0. What is p?
0, 2, 23
Find r, given that 2*r**3/3 + 60*r**2 + 664*r/3 - 688 = 0.
-86, -6, 2
Determine s, given that 20*s**4 + 295*s**3 - 75*s**2 = 0.
-15, 0, 1/4
Let -2*j**2/3 - 2692*j - 2717574 = 0. Calculate j.
-2019
Factor 2*r**3/3 + 18*r**2 + 130*r + 338/3.
2*(r + 1)*(r + 13)**2/3
Factor 3875*q**2/2 + 5*q/2.
5*q*(775*q + 1)/2
What is s in s**5/8 + 5*s**4/8 - 23*s**3/8 - 61*s**2/8 + 11*s/4 + 7 = 0?
-7, -2, -1, 1, 4
What is z in -4*z**3 - 328*z**2 + 4*z + 328 = 0?
-82, -1, 1
Find f such that 3*f**3 + 54*f**2 + 99*f + 48 = 0.
-16, -1
Suppose 5*z**4 + 512*z**3 + 13209*z**2 + 5202*z = 0. What is z?
-51, -2/5, 0
Determine g so that 2*g**4/3 - 622*g**3 + 2480*g**2 - 7432*g/3 = 0.
0, 2, 929
Find t such that 22*t**4/9 - 92*t**3/9 + 14*t**2 - 64*t/9 + 8/9 = 0.
2/11, 1, 2
Factor -c**5 + 2*c**4 + 6*c**3 - 20*c**2 + 19*c - 6.
-(c - 2)*(c - 1)**3*(c + 3)
Factor -21*m**2/4 + 951*m/4 - 135/2.
-3*(m - 45)*(7*m - 2)/4
Let -j**3 - 54*j**2 + 301*j + 354 = 0. Calculate j.
-59, -1, 6
Factor -k**4/3 - 4*k**3 - 4*k**2/3 + 64*k - 256/3.
-(k - 2)**2*(k + 8)**2/3
Determine h, given that 2*h**2/19 - 48*h/19 = 0.
0, 24
Determine p, given that 3*p**3 + 12*p**2 - 45*p - 54 = 0.
-6, -1, 3
Factor v**2/3 + 31*v/3 - 34.
(v - 3)*(v + 34)/3
Let 4*r**5 - 8*r**4 - 8*r**3 + 32*r**2 - 28*r + 8 = 0. Calculate r.
-2, 1
Determine c, given that c**3/4 + 641*c**2/4 + 1279*c/4 + 639/4 = 0.
-639, -1
Let -2*b**3/11 + 14*b**2/11 + 8*b/11 - 56/11 = 0. Calculate b.
-2, 2, 7
Determine k, given that 8*k**5 + 420*k**4 + 600*k**3 - 620*k**2 - 408*k = 0.
-51, -2, -1/2, 0, 1
Factor i**3/5 + 21*i**2/5 - 14*i + 48/5.
(i - 2)*(i - 1)*(i + 24)/5
Factor -c**4/8 + 25*c**3/4 - 189*c**2/8 + 29*c - 23/2.
-(c - 46)*(c - 2)*(c - 1)**2/8
Factor -4*v**3 - 1304*v**2 - 106276*v.
-4*v*(v + 163)**2
Factor 3*n**3 + 15*n**2 + 9*n - 27.
3*(n - 1)*(n + 3)**2
Let 20*o**2 + 6315*o - 1580 = 0. What is o?
-316, 1/4
Find y, given that 2*y**3 + 94*y**2 + 1406*y + 6498 = 0.
-19, -9
Factor 2*x**2/13 + 40*x/13 + 38/13.
2*(x + 1)*(x + 19)/13
Find d such that -2*d**4/3 - 350*d**3/3 - 16138*d**2/3 - 70210*d/3 + 28900 = 0.
-85, -6, 1
Find j such that 4*j**3 + 148*j**2 - 16*j - 592 = 0.
-37, -2, 2
Solve j**4/3 - 16*j**3/3 + 62*j**2/3 - 80*j/3 + 11 = 0 for j.
1, 3, 11
Find m, given that 2*m**5 + 146*m**4 - 154*m**3 - 434*m**2 + 736*m - 296 = 0.
-74, -2, 1
Factor 4*w**3 - 392*w**2 - 1204*w - 808.
4*(w - 101)*(w + 1)*(w + 2)
Factor -k**3 - 1177*k**2.
-k**2*(k + 1177)
Suppose 25*i**4 - 260*i**3 - 475*i**2 - 70*i + 120 = 0. Calculate i.
-1, 2/5, 12
Factor s**4/5 + 4*s**3/5 - 7*s**2 - 30*s.
s*(s - 6)*(s + 5)**2/5
Solve -114*b**5 + 232*b**4 - 122*b**3 + 4*b**2 = 0 for b.
0, 2/57, 1
Determine b, given that 12*b**5/7 - 216*b**4/7 - 123*b**3/7 + 216*b**2/7 + 111*b/7 = 0.
-1, -1/2, 0, 1, 37/2
Factor 5*o**3 + 120*o**2 + 205*o - 330.
5*(o - 1)*(o + 3)*(o + 22)
Factor -p**2 - 8*p - 16.
-(p + 4)**2
What is a in 2*a**2/15 + 8*a/15 - 2/3 = 0?
-5, 1
Find u, given that -3*u**5/5 - 24*u**4 - 936*u**3/5 + 1056*u**2 - 5808*u/5 = 0.
-22, 0, 2
Let 2*b**3/9 + 122*b**2/9 - 250*b/9 + 14 = 0. Calculate b.
-63, 1
Determine f, given that f**3/2 - 49*f**2/2 + 214*f - 190 = 0.
1, 10, 38
Find i, given that 5*i**3 - 13345*i**2 - 26705*i - 13355 = 0.
-1, 2671
Determine s, given that -s**3/2 - 275*s**2/2 + 698*s - 560 = 0.
-280, 1, 4
Factor 2*s**3/21 + 128*s**2/21 + 370*s/21 + 244/21.
2*(s + 1)*(s + 2)*(s + 61)/21
Find g such that -2*g**2 + 32*g - 78 = 0.
3, 13
Factor -474*d**2/11 + 6166*d/11 - 52/11.
-2*(d - 13)*(237*d - 2)/11
Determine t, given that 5*t**5 + 50*t**4 + 165*t**3 + 200*t**2 + 80*t = 0.
-4, -1, 0
Factor -324*n**5 - 792*n**4 - 628*n**3 - 176*n**2 - 16*n.
-4*n*(n + 1)**2*(9*n + 2)**2
Determine a so that 2*a**3/17 - 692*a**2/17 + 61218*a/17 - 233928/17 = 0.
4, 171
Factor -3*m**5 + 150*m**4 - 2592*m**3 + 16896*m**2 - 24576*m.
-3*m*(m - 16)**3*(m - 2)
Factor -j**2/9 + 395*j/9.
-j*(j - 395)/9
Determine z so that -z**2/5 - 36*z/5 - 36 = 0.
-30, -6
Find a, given that a**2 + 89*a + 88 = 0.
-88, -1
Factor 2*r**4/5 - 26*r**2/5 - 24*r/5.
2*r*(r - 4)*(r + 1)*(r + 3)/5
Factor -4*k**2 - 40*k + 300.
-4*(k - 5)*(k + 15)
Factor 5*d**3 + 92*d**2 - 684*d - 288.
(d - 6)*(d + 24)*(5*d + 2)
Factor -39*l**2 - 2*l.
-l*(39*l + 2)
What is m in 2*m**3 - 566*m**2 + 564*m = 0?
0, 1, 282
Find u, given that -4*u**5 - 16*u**4 - 20*u**3 - 8*u**2 = 0.
-2, -1, 0
Suppose v**2 - 10*v = 0. What is v?
0, 10
Factor -7*i**4/4 + 9*i**3/2 - 3*i**2 - i/2 + 3/4.
-(i - 1)**3*(7*i + 3)/4
Let 2*w**2 + 820*w + 84050 = 0. What is w?
-205
Solve l**4/8 + 9*l**3/4 + 71*l**2/8 - 9*l/4 - 9 = 0.
-12, -6, -1, 1
Factor -3*x**4 + 15*x**3 - 27*x**2 + 21*x - 6.
-3*(x - 2)*(x - 1)**3
Factor 2*a**3/19 - 560*a**2/19 + 2762*a/19 - 3300/19.
2*(a - 275)*(a - 3)*(a - 2)/19
Factor -245*i**3 - 1085*i**2 - 1175*i - 375.
-5*(i + 3)*(7*i + 5)**2
Solve -z**3/5 - z**2 - 3*z/5 + 9/5 = 0 for z.
-3, 1
Suppose 2*l**4 + 2*l**3 - 8*l**2 - 8*l = 0. What is l?
-2, -1, 0, 2
Factor -2*t**4 - 44*t**3 - 122*t**2 + 384*t - 216.
-2*(t - 1)**2*(t + 6)*(t + 18)
Determine n, given that -n**4 - 462*n**3 + 464*n**2 + 462*n - 463 = 0.
-463, -1, 1
What is h in -4*h**5/7 - 152*h**4/7 - 1444*h**3/7 = 0?
-19, 0
Factor -3*c**2/4 + 561*c.
-3*c*(c - 748)/4
Factor -6*f**5/11 - 180*f**4 - 23760*f**3 - 1568160*f**2 - 51749280*f - 683090496.
-6*(f + 66)**5/11
Find c, given that -2*c**5 - 84*c**4 - 526*c**3 - 1300*c**2 - 1416*c - 560 = 0.
-35, -2, -1
Solve 35*t**5 + 15*t**4 = 0 for t.
-3/7, 0
Determine c so that 7*c**4/6 + 75*c**3/2 - 955*c**2/6 + 205*c/2 + 18 = 0.
-36, -1/7, 1, 3
Factor -w**4 + 3893*w**3 - 3790808*w**2 + 3786916*w.
-w*(w - 1946)**2*(w - 1)
Solve -w**2/5 - 4*w = 0.
-20, 0
Factor 2*j**2 + 62*j/3 + 44.
2*(j + 3)*(3*j + 22)/3
Suppose -8*t**3/3 - 6586*t**2/3 + 11554*t/3 + 1100 = 0. Calculate t.
-825, -1/4, 2
Factor 6*j**2/5 + 48*j/5 + 96/5.
6*(j + 4)**2/5
Factor 2*p**4 - 16*p**2 + 32.
2*(p - 2)**2*(p + 2)**2
Suppose -3*o**2 - 129*o - 246 = 0. Calculate o.
-41, -2
Find z such that 2*z**3 + 188*z**2 - 794*z - 980 = 0.
-98, -1, 5
Find s, given that 2*s**3/9 - 12