 -30*c**5/7 + 159*c**4/7 - 45*c**3 + 291*c**2/7 - 123*c/7 + 18/7 = 0. Calculate c.
3/10, 1, 2
Determine r, given that 5*r**3/3 - 60*r**2 - 195*r = 0.
-3, 0, 39
Factor 30*s**2 - 268*s - 18.
2*(s - 9)*(15*s + 1)
Solve 2*m**4/5 - 18*m**3/5 - 226*m**2/5 + 18*m/5 + 224/5 = 0 for m.
-7, -1, 1, 16
Factor -4*o**4 + 33080*o**3 - 68459028*o**2 + 273439280*o - 273307024.
-4*(o - 4133)**2*(o - 2)**2
What is a in 2*a**3/7 - 10*a**2 + 116*a/7 + 528/7 = 0?
-2, 4, 33
What is u in u**3/5 - 44*u**2/5 - 9*u = 0?
-1, 0, 45
Determine w, given that 2*w**4 - 38*w**3 + 228*w**2 - 512*w + 320 = 0.
1, 4, 10
Factor -k**4 + 21*k**3 - 134*k**2 + 240*k.
-k*(k - 10)*(k - 8)*(k - 3)
Factor -2*b**2/9 - 86*b/3 + 2192/9.
-2*(b - 8)*(b + 137)/9
Factor -5*n**4 - 50*n**3 - 65*n**2 + 300*n - 180.
-5*(n - 1)**2*(n + 6)**2
Determine p so that -p**4/2 + 95*p**3 - 4512*p**2 - 95*p + 9025/2 = 0.
-1, 1, 95
Factor -2*q**2/19 + 18*q/19 - 16/19.
-2*(q - 8)*(q - 1)/19
Factor 2*f**2/15 - 176*f/3 + 584/5.
2*(f - 438)*(f - 2)/15
Find k such that 4*k**2/3 - 440*k/3 + 12100/3 = 0.
55
Factor -162*l**3 + 5544*l**2 - 1226*l + 68.
-2*(l - 34)*(9*l - 1)**2
Factor y**3 + 7*y**2 - 588*y.
y*(y - 21)*(y + 28)
Solve 3*h**3/2 - 93*h**2/2 + 174*h + 546 = 0 for h.
-2, 7, 26
Factor w**3/2 + 2*w**2 + w/2 - 3.
(w - 1)*(w + 2)*(w + 3)/2
Factor -3*t**2/4 + 117*t - 4563.
-3*(t - 78)**2/4
Factor o**3/6 + 13*o**2/6 - 8*o/3 - 14/3.
(o - 2)*(o + 1)*(o + 14)/6
Factor -a**2 - 38*a - 136.
-(a + 4)*(a + 34)
Determine r so that r**2 - 85*r - 86 = 0.
-1, 86
Factor 3*u**2 + 48*u - 51.
3*(u - 1)*(u + 17)
Factor 2*b**3/5 + 252*b**2/5 + 7938*b/5.
2*b*(b + 63)**2/5
Solve 2*b**5 + 12*b**4 + 22*b**3 + 12*b**2 = 0.
-3, -2, -1, 0
Factor -4*l**5 - 36*l**4.
-4*l**4*(l + 9)
Suppose -25*z**4 - 2790*z**3 + 1120*z**2 = 0. What is z?
-112, 0, 2/5
Let -7*x**2/3 - 46*x/3 - 24 = 0. Calculate x.
-4, -18/7
Factor -5*a**2 + 20*a + 25.
-5*(a - 5)*(a + 1)
Determine b, given that 3*b**4 + 27*b**3 + 51*b**2 - 99*b - 270 = 0.
-5, -3, 2
Factor 3*d**5/8 + 153*d**4/2 + 5724*d**3 + 187920*d**2 + 2527200*d + 11664000.
3*(d + 12)**2*(d + 60)**3/8
Determine d, given that 2*d**5 - 10*d**4 - 122*d**3 - 110*d**2 = 0.
-5, -1, 0, 11
Factor -2*r**3/7 + 24*r**2/7 + 8*r/7 - 96/7.
-2*(r - 12)*(r - 2)*(r + 2)/7
Factor 4*l**2 - 1208*l.
4*l*(l - 302)
Factor 3*h**4 - 33*h**3 + 6*h**2 + 276*h - 360.
3*(h - 10)*(h - 2)**2*(h + 3)
Let 4*l**5/7 + 16*l**4/7 + 16*l**3/7 = 0. What is l?
-2, 0
Suppose -4*d**3 + 2872*d**2 - 518384*d + 1025312 = 0. Calculate d.
2, 358
Let -2*r**2 - 42*r + 92 = 0. Calculate r.
-23, 2
Determine t so that -2*t**4/3 + 16*t**3/3 - 26*t**2/3 - 20*t + 48 = 0.
-2, 3, 4
Factor 2*b**3/7 - 66*b**2/7 + 510*b/7 + 578/7.
2*(b - 17)**2*(b + 1)/7
Determine k so that -k**5/5 - k**4/5 + 2*k**3 + 2*k**2 - 9*k/5 - 9/5 = 0.
-3, -1, 1, 3
Determine q, given that -2*q**3 - 282*q**2 = 0.
-141, 0
Determine b, given that -b**2/3 - 59*b/3 + 20 = 0.
-60, 1
Factor 2*z**5/9 + 4*z**4/3 - 14*z**3/9.
2*z**3*(z - 1)*(z + 7)/9
Let 3*k**4 + 240*k**3 - 738*k**2 + 744*k - 249 = 0. What is k?
-83, 1
Find x such that -x**2/8 - 109*x/4 - 645/8 = 0.
-215, -3
Factor -m**3 + 2*m**2 + 43*m - 140.
-(m - 5)*(m - 4)*(m + 7)
What is s in -1762900*s**5 + 937720*s**4 + 58016*s**3 - 46016*s**2 - 5440*s - 128 = 0?
-2/17, -2/61, 2/5
Find q, given that 2*q**4/5 - 46*q**3/5 + 286*q**2/5 - 242*q/5 = 0.
0, 1, 11
Find u such that -2*u**5 - 40*u**4 + 4*u**3 + 80*u**2 - 2*u - 40 = 0.
-20, -1, 1
Suppose -j**4 + 57*j**3 - 760*j**2 + 3264*j - 2560 = 0. Calculate j.
1, 8, 40
Find p, given that -5*p**4 - 150*p**3 + 55*p**2 + 22200*p + 22000 = 0.
-20, -1, 11
Factor -3*f**3/4 + 33*f**2/4 + 195*f/4 - 225/4.
-3*(f - 15)*(f - 1)*(f + 5)/4
Factor 2*m**5/11 - 78*m**4 + 120930*m**3/11 - 5340350*m**2/11 - 36583500*m/11.
2*m*(m - 145)**3*(m + 6)/11
Factor -7*l**3/2 - 17*l**2/3 - 5*l/2 - 1/3.
-(l + 1)*(3*l + 1)*(7*l + 2)/6
Solve -2*g**4/3 - 262*g**3/3 + 1082*g**2/3 + 262*g/3 - 360 = 0 for g.
-135, -1, 1, 4
Factor -o**3 + 66*o**2 - 252*o + 248.
-(o - 62)*(o - 2)**2
Let w**5 + w**4 - w**3 - w**2 = 0. What is w?
-1, 0, 1
Factor -5*x**5 - 5*x**4 + 105*x**3 + 225*x**2.
-5*x**2*(x - 5)*(x + 3)**2
Factor -b**2 - 306*b - 23409.
-(b + 153)**2
Factor -o**2/3 + 13*o/3.
-o*(o - 13)/3
Factor -3*z**4 + 243*z**3 - 5034*z**2 + 4320*z + 9600.
-3*(z - 40)**2*(z - 2)*(z + 1)
Solve 2*k**2/5 - 26*k/5 + 44/5 = 0.
2, 11
Solve -196*s**5 + 2548*s**4 + 212*s**3 - 2756*s**2 - 16*s + 208 = 0.
-1, -2/7, 2/7, 1, 13
Solve 3*n**3 + 767*n**2 + 2028*n + 1012 = 0 for n.
-253, -2, -2/3
Let 3*x**4/5 - 228*x**3/5 + 4761*x**2/5 - 3240*x + 11664/5 = 0. Calculate x.
1, 3, 36
Find u, given that -u**3 - 3*u**2 + 34*u - 48 = 0.
-8, 2, 3
Find g such that g**3 - g**2 - 6*g = 0.
-2, 0, 3
What is h in -28*h**2 - 2252*h + 1296 = 0?
-81, 4/7
Determine h so that 2*h**4/13 + 952*h**3/13 + 111368*h**2/13 - 456960*h/13 + 460800/13 = 0.
-240, 2
What is l in 2*l**5/15 + 2*l**4/5 - 2*l**3/5 - 14*l**2/15 + 4*l/5 = 0?
-3, -2, 0, 1
Factor 4*g**5 + 92*g**4/3 - 32*g**3/3.
4*g**3*(g + 8)*(3*g - 1)/3
Factor -4*o**2 + 8208*o/5.
-4*o*(5*o - 2052)/5
Factor -3*v**4 - 27*v**3 - 54*v**2 + 12*v + 72.
-3*(v - 1)*(v + 2)**2*(v + 6)
Suppose -2*y**3/23 - 22*y**2/23 - 38*y/23 - 18/23 = 0. What is y?
-9, -1
What is q in -245*q**3 + 9170*q**2 + 5300*q + 760 = 0?
-2/7, 38
Find o such that -o**4/4 + 23*o**3 - 443*o**2/4 + 175*o - 87 = 0.
1, 2, 87
Factor -2*n**2 + 54*n + 56.
-2*(n - 28)*(n + 1)
Factor -4*f**2/9 - 34*f/9 + 2.
-2*(f + 9)*(2*f - 1)/9
Suppose -2*a**2 + 2*a + 220 = 0. Calculate a.
-10, 11
Find u, given that u**5/7 - 18*u**4/7 + 97*u**3/7 - 24*u**2 - 44*u/7 + 240/7 = 0.
-1, 2, 3, 4, 10
Solve 3*c**5/5 + 6*c**4/5 - 123*c**3/5 + 186*c**2/5 + 24*c - 192/5 = 0.
-8, -1, 1, 2, 4
Find i such that -9*i**5/2 - 40*i**4 - 126*i**3 - 161*i**2 - 123*i/2 + 9 = 0.
-3, -2, -1, 1/9
Factor -u**4/5 + 6*u**3/5 - 4*u**2/5 - 6*u/5 + 1.
-(u - 5)*(u - 1)**2*(u + 1)/5
Factor -2*o**3 - 50*o**2 - 304*o - 544.
-2*(o + 4)**2*(o + 17)
Factor -3*m**2 - 1194*m.
-3*m*(m + 398)
Factor -2*v**4 + 88*v**3 - 84*v**2 - 88*v + 86.
-2*(v - 43)*(v - 1)**2*(v + 1)
Factor 2*d**2/11 - 68*d/11 - 70/11.
2*(d - 35)*(d + 1)/11
Suppose -s**3 - 39*s**2 = 0. What is s?
-39, 0
Solve 4*d**5/3 + 40*d**4/3 + 64*d**3/3 = 0.
-8, -2, 0
Factor -5*y**3 - 5*y**2 + 20*y + 20.
-5*(y - 2)*(y + 1)*(y + 2)
Suppose -2*h**3/3 - 1970*h**2/3 + 7904*h/3 - 7912/3 = 0. What is h?
-989, 2
Find x such that 3*x**3 + 108*x**2 - 345*x + 234 = 0.
-39, 1, 2
Factor -1014*i**2 - 546*i - 147/2.
-3*(26*i + 7)**2/2
Find i such that 2*i**5 + 24*i**4 - 32*i**3 - 544*i**2 + 1632*i - 1280 = 0.
-10, -8, 2
Factor 3*x**2 + 3387*x + 6762.
3*(x + 2)*(x + 1127)
Factor a**3/2 + 521*a**2/2 - 1045*a/2 + 523/2.
(a - 1)**2*(a + 523)/2
Determine c so that -4*c**5/3 + 520*c**4/3 + 1072*c**3/3 - 2104*c**2/3 - 356*c + 528 = 0.
-3, -1, 1, 132
Factor m**3/7 + 2*m**2/7 + m/7.
m*(m + 1)**2/7
Solve p**2/4 - 19*p/2 + 361/4 = 0.
19
Find l, given that l**5 + 14*l**4 + 53*l**3 - 20*l**2 - 300*l = 0.
-6, -5, 0, 2
Factor w**2/3 + 2730*w + 5589675.
(w + 4095)**2/3
Factor -5*o**2 - 105*o + 650.
-5*(o - 5)*(o + 26)
What is i in -4*i**3 + 56*i**2 = 0?
0, 14
Find i, given that -2*i**2/3 - 1360*i/3 - 231200/3 = 0.
-340
Factor -o**5/6 + o**4/6 + o**3/3 - o**2/3 - o/6 + 1/6.
-(o - 1)**3*(o + 1)**2/6
Let -u**3/9 + 20*u**2/3 - 47*u + 364/9 = 0. Calculate u.
1, 7, 52
Solve -12*g**4 - 104*g**3 + 12*g**2 + 584*g - 192 = 0 for g.
-8, -3, 1/3, 2
Factor 4*y**5 + 176*y**4 + 504*y**3 + 496*y**2 + 164*y.
4*y*(y + 1)**3*(y + 41)
Determine i, given that i**3 - 217*i**2 = 0.
0, 217
Suppose -3*o**3 - 141*o**2 - 558*o + 3024 = 0. What is o?
-42, -8, 3
Factor -g**2/2 + 790*g + 1581/2.
-(g - 1581)*(g + 1)/2
Factor 4*n**4 - 40*n**3 - 92*n**2 - 48*n.
4*n*(n - 12)*(n + 1)**2
Solve z**4/7 + 11*z**3/7 + 6*z**2/7 - 44*z/7 - 40/7 = 0.
-10, -2, -1, 2
Factor 3*b**3/4 - 9*b**2 + 27*b - 24.
3*(b - 8)*(b - 2)**2/4
Find z, given that -2*z**4/7 + 36*z**3/7 + 242*z**2/7 - 276*z/7 = 0.
-6, 0, 1, 23
Determine p, given that -213*p**2 + 432*p - 12 = 0.
2/71, 2
Suppose 4*r**3 + 116*r**2 - 376*r + 256 = 0. Calculate r.
-32, 1, 2
Suppose -5*v**5 - 20*v**4 + 30*v**3 + 20*v**2 - 25*v = 0. Calculate v.
-5, -1, 0, 1
Solve -z**5/10 + 17*z**4/2 + 671*z**3/10 - 2513*z**2/10 + 1339*z/5 - 92 = 0.
-10, 1, 92
Solve 5*m**4 + 45*m**3 + 70*m**2 = 0.
-7, -2, 0
Sol