2/15 + 36*n/5 + 486/5 = 0?
-27
Let -49*i**2/2 + 189*i - 729/2 = 0. Calculate i.
27/7
Factor -27*j**3 - 18561*j**2 - 24736*j/3 - 916.
-(j + 687)*(9*j + 2)**2/3
Let 6*f**4 - 21*f**3 + 9*f**2 + 21*f - 15 = 0. What is f?
-1, 1, 5/2
Suppose 10*i**3/19 - 296*i**2/19 - 446*i/19 + 372/19 = 0. What is i?
-2, 3/5, 31
Factor 4*o**4 - 596*o**3 + 20652*o**2 + 116116*o + 94864.
4*(o - 77)**2*(o + 1)*(o + 4)
Factor 2*l**3/13 + 10*l**2/13.
2*l**2*(l + 5)/13
Factor 4*u**3/3 - 536*u**2/3 + 6160*u - 11616.
4*(u - 66)**2*(u - 2)/3
Suppose l**2/9 - 10*l/9 = 0. What is l?
0, 10
Factor 5*a**4 - 735*a**3 - 5350*a**2 - 6240*a + 12320.
5*(a - 154)*(a - 1)*(a + 4)**2
Determine c, given that -6*c**4 + 219*c**3 - 318*c**2 + 105*c = 0.
0, 1/2, 1, 35
Factor 5*f**3 - 110*f**2 - 5*f + 110.
5*(f - 22)*(f - 1)*(f + 1)
Factor 4*o**3 + 20*o**2 + 32*o + 16.
4*(o + 1)*(o + 2)**2
Let -x**2/5 + 15*x = 0. What is x?
0, 75
Let 6*a**2/5 - 2228*a/5 - 1488/5 = 0. What is a?
-2/3, 372
Factor 2*f**4/9 + 46*f**3/9 + 286*f**2/9 + 242*f/9.
2*f*(f + 1)*(f + 11)**2/9
Factor -3*r**3 + 249*r**2 - 246*r.
-3*r*(r - 82)*(r - 1)
Suppose 5*a**4 - 20*a**3 - 60*a**2 = 0. Calculate a.
-2, 0, 6
Find q such that 2*q**3/11 - 12*q**2/11 - 8*q/11 + 48/11 = 0.
-2, 2, 6
Factor -5*m**2/3 - 530*m/3 - 1155.
-5*(m + 7)*(m + 99)/3
Factor -16*q**4 - 24*q**3 + 7*q**2 + 24*q + 9.
-(q - 1)*(q + 1)*(4*q + 3)**2
Factor l**3/12 - 13*l**2/6 - 199*l/12 + 56/3.
(l - 32)*(l - 1)*(l + 7)/12
Determine w so that -2*w**4/7 - 2*w**3/7 + 6*w**2/7 + 2*w/7 - 4/7 = 0.
-2, -1, 1
Factor x**3/5 + 3*x**2 - 76*x/5.
x*(x - 4)*(x + 19)/5
Factor s**5/5 + 3*s**4/5 - 14*s**3/5 - 12*s**2/5 + 8*s.
s*(s - 2)**2*(s + 2)*(s + 5)/5
Factor j**4/6 + 13*j**3/6 + 19*j**2/2 + 95*j/6 + 25/3.
(j + 1)*(j + 2)*(j + 5)**2/6
Suppose -2*b**5/5 - 138*b**4/5 - 54*b**3 - 134*b**2/5 = 0. What is b?
-67, -1, 0
Determine d, given that 3*d**5 + 39*d**4 + 201*d**3 + 513*d**2 + 648*d + 324 = 0.
-3, -2
Find l, given that 9*l**2 - 40*l + 16 = 0.
4/9, 4
Factor t**2/5 - 467*t/5 - 4284/5.
(t - 476)*(t + 9)/5
What is o in o**4/4 + o**3/4 - 37*o**2/4 + 47*o/4 + 21 = 0?
-7, -1, 3, 4
Find b such that 115*b**5/12 + 17*b**4/4 - 113*b**3/12 - 17*b**2/4 - b/6 = 0.
-1, -2/5, -1/23, 0, 1
What is m in -4*m**4 + 40*m**3 - 96*m**2 - 40*m + 100 = 0?
-1, 1, 5
Factor 28*s**3 - 176*s**2 + 188*s - 40.
4*(s - 5)*(s - 1)*(7*s - 2)
What is g in -2*g**2 - 252*g - 250 = 0?
-125, -1
Let 22*f**5/7 - 12*f**4 + 50*f**3/7 + 100*f**2/7 - 72*f/7 - 16/7 = 0. Calculate f.
-1, -2/11, 1, 2
Factor 4*z**2 - 124*z - 408.
4*(z - 34)*(z + 3)
Find o such that 10*o**3/11 + 106*o**2/11 + 56*o/11 - 40/11 = 0.
-10, -1, 2/5
Factor 2*z**4/15 - 2*z**2/5 - 4*z/15.
2*z*(z - 2)*(z + 1)**2/15
Factor -5*r**2 + 3260*r + 3265.
-5*(r - 653)*(r + 1)
Find h such that h**5/6 + 11*h**4/6 - 5*h**3/6 - 55*h**2/6 + 2*h/3 + 22/3 = 0.
-11, -2, -1, 1, 2
Factor -2*n**4 - 12*n**3 - 24*n**2 - 16*n.
-2*n*(n + 2)**3
Determine u, given that u**5 - 3*u**4 - 37*u**3 - 29*u**2 + 36*u + 32 = 0.
-4, -1, 1, 8
Find s, given that -s**3/4 + s/4 = 0.
-1, 0, 1
Factor 9*z**3/7 + 3*z**2/7 - 6*z/7.
3*z*(z + 1)*(3*z - 2)/7
Solve 12*l**3 - 142*l**2 + 108*l + 22 = 0.
-1/6, 1, 11
Find b such that 9*b**2/4 - 177*b/2 - 60 = 0.
-2/3, 40
Solve -2*o**2/7 - 298*o/7 - 876/7 = 0.
-146, -3
Determine i so that 4*i**3 - 92*i**2 + 304*i + 1008 = 0.
-2, 7, 18
Let -2*h**2/3 - 2768*h/3 - 957728/3 = 0. Calculate h.
-692
Factor 2*q**2/9 + 2*q - 44/9.
2*(q - 2)*(q + 11)/9
Factor 605*r**3 + 26565*r**2 - 29520*r + 8100.
5*(r + 45)*(11*r - 6)**2
Factor -116*m**2 - 764*m + 336.
-4*(m + 7)*(29*m - 12)
Find i, given that -8*i**4/15 - 6*i**3/5 + 28*i**2/15 + 24*i/5 + 16/15 = 0.
-2, -1/4, 2
Factor -42483*p**2 + 714*p - 3.
-3*(119*p - 1)**2
Find f such that -4*f**2 - 10512*f - 6906384 = 0.
-1314
Factor t**5/9 - 7*t**4 + 320*t**3/3 + 1024*t**2/9.
t**2*(t - 32)**2*(t + 1)/9
Factor 2*v**3 + 48*v**2 + 46*v.
2*v*(v + 1)*(v + 23)
Factor -2*j**3/3 + 58*j**2/3 + 188*j/3 + 128/3.
-2*(j - 32)*(j + 1)*(j + 2)/3
Factor -3*r**3 - 51*r**2 + 114*r.
-3*r*(r - 2)*(r + 19)
Let -v**3/3 + 89*v**2/3 + 760*v/3 + 1552/3 = 0. What is v?
-4, 97
Determine o so that -2*o**3 + 64*o**2 + 280*o + 288 = 0.
-2, 36
Let -5*a**2/3 + 19920*a - 59520960 = 0. Calculate a.
5976
Find j such that -2*j**4/3 - 176*j**3 - 35888*j**2/3 - 45760*j - 135200/3 = 0.
-130, -2
Let -m**4/4 - 197*m**3/4 - 9991*m**2/4 - 28227*m/4 = 0. Calculate m.
-97, -3, 0
Suppose 2*b**2/3 + 940*b/3 + 110450/3 = 0. Calculate b.
-235
Suppose -p**5/5 + 114*p**4/5 + 116*p**3/5 - 114*p**2/5 - 23*p = 0. Calculate p.
-1, 0, 1, 115
Factor 2*f**2/13 - 6190*f/13 + 476.
2*(f - 3094)*(f - 1)/13
Let 2*l**3/5 - 338*l**2/5 - 1028*l/5 - 688/5 = 0. Calculate l.
-2, -1, 172
Factor -245*y**4 + 476*y**3 - 1716*y**2/5 + 544*y/5 - 64/5.
-(5*y - 2)**2*(7*y - 4)**2/5
Factor 5*q**4 - 65*q**3 + 55*q**2 + 65*q - 60.
5*(q - 12)*(q - 1)**2*(q + 1)
Factor 10*v**2/3 + 74*v/3.
2*v*(5*v + 37)/3
Factor 4*z**2 - 48*z.
4*z*(z - 12)
Solve -2*z**2/3 + 3568*z/3 - 1591328/3 = 0 for z.
892
Find p, given that -175*p**5 + 340*p**4 + 20*p**3 - 350*p**2 + 155*p + 10 = 0.
-1, -2/35, 1
Factor -5*v**4 + 25*v**3 - 5*v**2 - 105*v + 90.
-5*(v - 3)**2*(v - 1)*(v + 2)
Determine r, given that -36*r**5 - 644*r**4 + 792*r**3 + 568*r**2 - 756*r + 76 = 0.
-19, -1, 1/9, 1
Factor 2*c**4/5 + 22*c**3/5 + 16*c**2/5 - 8*c.
2*c*(c - 1)*(c + 2)*(c + 10)/5
Find i such that i**5/2 - 6*i**4 + 28*i**3 - 64*i**2 + 72*i - 32 = 0.
2, 4
Factor -2*q**4/7 + 48*q**3/7 - 332*q**2/7 + 528*q/7 - 242/7.
-2*(q - 11)**2*(q - 1)**2/7
What is t in -2*t**3 - 128*t**2 + 538*t - 408 = 0?
-68, 1, 3
Factor s**2/3 - 133*s - 400/3.
(s - 400)*(s + 1)/3
Factor 56*p**2 + 26*p + 3.
(4*p + 1)*(14*p + 3)
Determine v, given that 4*v**4 + 8232*v**3 + 5647152*v**2 + 1291315424*v = 0.
-686, 0
Factor 4*h**3 - 20*h**2 + 24*h.
4*h*(h - 3)*(h - 2)
Determine k, given that 2*k**2/11 - 312*k/11 + 56 = 0.
2, 154
Solve -3*c**3/4 + 243*c**2 = 0.
0, 324
Determine b, given that 4*b**5 - 28*b**4 + 48*b**3 + 64*b**2 - 256*b + 192 = 0.
-2, 2, 3
Find q such that -q**2 + 351*q = 0.
0, 351
Factor -u**2/6 - 15*u/2 - 22/3.
-(u + 1)*(u + 44)/6
Factor -p**2/6 + 9*p/2 + 15.
-(p - 30)*(p + 3)/6
Factor -84*q**3 + 1600*q**2 - 7468*q + 352.
-4*(q - 11)*(q - 8)*(21*q - 1)
What is f in -3*f**4/5 - 12*f**3/5 = 0?
-4, 0
Factor 3*x**2/4 - 279*x/4 + 405/2.
3*(x - 90)*(x - 3)/4
Suppose -g**5 + 24*g**4 + 10*g**3 - 240*g**2 - 9*g + 216 = 0. Calculate g.
-3, -1, 1, 3, 24
Factor -2*c**4 - 5*c**3 - 33*c**2/8 - 9*c/8.
-c*(c + 1)*(4*c + 3)**2/8
Find g such that g**5/4 - 3*g**4 - 71*g**3/2 + 41*g**2 + 141*g/4 - 38 = 0.
-8, -1, 1, 19
Factor 80*h**3 + 1035*h**2 + 1695*h - 110.
5*(h + 2)*(h + 11)*(16*h - 1)
Let 4*f**2 + 32*f - 132 = 0. What is f?
-11, 3
Solve 64082*x**5 - 129596*x**4 + 2872*x**3 - 16*x**2 = 0.
0, 2/179, 2
Find g, given that 5*g**5 - 1105*g**4 - 10*g**3 + 2210*g**2 + 5*g - 1105 = 0.
-1, 1, 221
Find t, given that 2*t**5/7 + 18*t**4/7 + 26*t**3/7 - 18*t**2/7 - 4*t = 0.
-7, -2, -1, 0, 1
Let -3*k**3 - 230*k**2/3 = 0. Calculate k.
-230/9, 0
Suppose -3*m**4 + 48*m**3 - 159*m**2 + 186*m - 72 = 0. Calculate m.
1, 2, 12
Factor h**4/7 + 15*h**3/7 - 17*h**2/7 - 15*h/7 + 16/7.
(h - 1)**2*(h + 1)*(h + 16)/7
Factor -3*i**4/7 - 15*i**3/7 + 3*i**2/7 + 15*i/7.
-3*i*(i - 1)*(i + 1)*(i + 5)/7
Factor 3*r**4/7 - 60*r**3/7 + 351*r**2/7 - 486*r/7.
3*r*(r - 9)**2*(r - 2)/7
Solve u**5/3 + 8*u**4/3 + 5*u**3 - 20*u**2/3 - 76*u/3 - 16 = 0.
-4, -3, -2, -1, 2
Factor -3*s**3 - 36*s**2.
-3*s**2*(s + 12)
Factor -r**2 - 25*r + 54.
-(r - 2)*(r + 27)
Factor -5*s**2 - 15*s.
-5*s*(s + 3)
Suppose -3*c**5 + 96*c**4 - 90*c**3 - 96*c**2 + 93*c = 0. What is c?
-1, 0, 1, 31
Factor 2*n**4/7 + 4*n**3/7 - 2*n**2 + 8*n/7.
2*n*(n - 1)**2*(n + 4)/7
Factor 2*b**5/3 + 16*b**4/3 - 6*b**3.
2*b**3*(b - 1)*(b + 9)/3
Factor -3*g**2/7 - 69*g/7 - 18.
-3*(g + 2)*(g + 21)/7
Factor m**4 - 8*m**3 + 17*m**2 - 10*m.
m*(m - 5)*(m - 2)*(m - 1)
Find b, given that 12*b**2 - 9849*b - 2463 = 0.
-1/4, 821
Determine k so that -4*k**2/3 + 424*k + 5152/3 = 0.
-4, 322
Let -9*x**3/2 - 33*x**2 + 47*x/2 - 4 = 0. What is x?
-8, 1/3
Factor 4*x**2 - 80*x.
4*x*(x - 20)
Solve -2*s**4/7 - 18*s**3/7 - 18*s**2/7 + 82*s/7 + 12 = 0 for s.
-7, -3, -1, 2
Factor -5*v**3 - 5*v**2 + 665*v + 3185.
-5*(v - 13)*(v + 7)**2
What is m in -2*m**4 + 25*m**3/3 - 2*m**2/3 - 8*m/3 = 0?