 + 11*t + 18 = 0 for t.
-9, -2
Factor 5*n**4 - 30*n**3 - 15*n**2 + 80*n + 60.
5*(n - 6)*(n - 2)*(n + 1)**2
Factor 2*c**4 + 151*c**3/2 + 55*c**2 - 37*c/2.
c*(c + 1)*(c + 37)*(4*c - 1)/2
Suppose -24*c**3 - 687*c**2 - 1035*c + 486 = 0. What is c?
-27, -2, 3/8
Suppose -140*b**4 - 1192*b**3 - 2784*b**2 - 896*b + 512 = 0. Calculate b.
-4, -4/5, 2/7
Let -2*c**3/5 - 36*c**2/5 - 178*c/5 - 144/5 = 0. Calculate c.
-9, -8, -1
Solve -5*w**2 + 292*w - 116 = 0.
2/5, 58
Let -250*i**4/3 + 135700*i**3/3 + 54360*i**2 + 65264*i/3 + 8704/3 = 0. Calculate i.
-2/5, 544
Find c such that -2*c**3 + 50*c**2 - 36*c - 288 = 0.
-2, 3, 24
Factor -75*h**3 + 740*h**2 - 1775*h - 250.
-5*(h - 5)**2*(15*h + 2)
Find g such that -2*g**5 - 34*g**4 - 202*g**3 - 470*g**2 - 300*g = 0.
-6, -5, -1, 0
Solve 4*p**2 - 60*p = 0 for p.
0, 15
Factor y**5/3 - 22*y**4/3 + 40*y**3/3.
y**3*(y - 20)*(y - 2)/3
Solve -2*k**4/7 - 20*k**3 - 2306*k**2/7 + 720*k - 2592/7 = 0.
-36, 1
Factor 3*j**3 - 26481*j**2 + 58423704*j + 58450188.
3*(j - 4414)**2*(j + 1)
Factor 6*k**2/11 + 48*k/11 + 42/11.
6*(k + 1)*(k + 7)/11
Solve -w**2 + 14*w - 13 = 0.
1, 13
Let 5*t**2/4 - 4415*t/4 = 0. What is t?
0, 883
Factor -2*y**3/11 - 16*y**2/11 + 6*y/11 + 180/11.
-2*(y - 3)*(y + 5)*(y + 6)/11
Solve -p**4 - 12*p**3 - 35*p**2 + 12*p + 36 = 0 for p.
-6, -1, 1
Let 20*l**4 + 25*l**3 - 195*l**2 + 110*l + 40 = 0. What is l?
-4, -1/4, 1, 2
What is p in -p**5/3 + p**4 - 2*p**3/3 = 0?
0, 1, 2
Suppose 36*r**2 - 20*r = 0. What is r?
0, 5/9
Factor n**4/6 - 16*n**3/3 + 143*n**2/3 - 80*n + 75/2.
(n - 15)**2*(n - 1)**2/6
Factor -d**4/7 + 37*d**3/7 - 137*d**2/7 + 167*d/7 - 66/7.
-(d - 33)*(d - 2)*(d - 1)**2/7
Solve -v**3/4 - 59*v**2/4 + 15*v = 0.
-60, 0, 1
Let -2*s**2/9 - 1256*s/9 = 0. Calculate s.
-628, 0
Solve -8*i**4 + 42*i**3/5 - 2*i/5 = 0 for i.
-1/5, 0, 1/4, 1
Find i such that -3*i**2 - 81*i + 84 = 0.
-28, 1
Factor r**4/8 - 41*r**3/8 + 387*r**2/8 + 945*r/8 - 1323/2.
(r - 21)**2*(r - 3)*(r + 4)/8
Solve -2*g**5/17 + 12*g**4/17 - 14*g**3/17 - 36*g**2/17 + 88*g/17 - 48/17 = 0.
-2, 1, 2, 3
Factor 2*v**3 + 56*v**2 + 238*v + 184.
2*(v + 1)*(v + 4)*(v + 23)
Solve 3*m**4/2 + 51*m**3 - 213*m**2/2 + 54*m = 0 for m.
-36, 0, 1
Determine a, given that -a**4/2 + 39*a**3/2 - 180*a**2 - 200*a = 0.
-1, 0, 20
Solve 2*y**4/19 - 14*y**3/19 - 424*y**2/19 - 1848*y/19 - 1440/19 = 0 for y.
-6, -1, 20
Suppose 35*d**5 - 615*d**4 + 885*d**3 - 65*d**2 - 240*d = 0. What is d?
-3/7, 0, 1, 16
Determine z so that 2*z**3 + 112*z**2 + 1386*z + 2340 = 0.
-39, -15, -2
Suppose 2*l**2 - 2*l - 4 = 0. What is l?
-1, 2
Factor 748*z**2 + 540*z + 72.
4*(11*z + 6)*(17*z + 3)
Factor -2*d**5/3 + 4*d**4/3 + 24*d**3 + 176*d**2/3 + 128*d/3.
-2*d*(d - 8)*(d + 2)**3/3
What is n in 2*n**4/15 - 2*n**3/5 + 2*n**2/5 - 2*n/15 = 0?
0, 1
Factor -2*x**5/9 + 34*x**4 - 1734*x**3 + 29478*x**2.
-2*x**2*(x - 51)**3/9
Solve 2*g**5 - 35*g**4/2 + 52*g**3 - 62*g**2 + 24*g = 0 for g.
0, 3/4, 2, 4
Factor -b**3 + 15*b**2 - 75*b + 125.
-(b - 5)**3
Determine f so that -3*f**2 + 66*f - 171 = 0.
3, 19
Factor d**3/8 + 37*d**2/8 - 103*d/4 + 21.
(d - 4)*(d - 1)*(d + 42)/8
Determine h, given that -h**3/3 - 19*h**2/3 - 34*h/3 = 0.
-17, -2, 0
Solve 33*z**5/4 + 25*z**4 + 3*z**3/4 - 33*z**2 - z = 0.
-2, -1/33, 0, 1
Find y such that y**2 + 48*y - 49 = 0.
-49, 1
Let 2*n**3/13 + 16*n**2/13 + 14*n/13 = 0. Calculate n.
-7, -1, 0
Factor 6*i**4 - 33*i**3 - 258*i**2 - 120*i.
3*i*(i - 10)*(i + 4)*(2*i + 1)
Find f such that -33*f**3 + 159*f**2 + 504*f = 0.
-24/11, 0, 7
What is a in 67*a**4/6 - 23*a**3/2 - 65*a**2/6 + 23*a/2 - 1/3 = 0?
-1, 2/67, 1
Factor -2*y**2/5 + 18/5.
-2*(y - 3)*(y + 3)/5
Determine p so that -4*p**3/3 - 218*p**2/3 + 566*p/3 - 76 = 0.
-57, 1/2, 2
Determine c, given that -2*c**3/13 - 116*c**2/13 + 496*c/13 = 0.
-62, 0, 4
Factor 6*d**2/7 + 27*d/7 - 15/7.
3*(d + 5)*(2*d - 1)/7
Determine i so that 2*i**4/5 - 18*i**3/5 + 12*i**2/5 + 32*i/5 = 0.
-1, 0, 2, 8
What is n in 3*n**4 - 21*n**3 + 6*n**2 + 84*n - 72 = 0?
-2, 1, 2, 6
Factor v**3 - 24*v**2 + 45*v - 22.
(v - 22)*(v - 1)**2
Factor 5*s**4 - 935*s**3 - 2850*s**2.
5*s**2*(s - 190)*(s + 3)
Factor -3*w**5 + 192*w**4 - 372*w**3 - 6*w**2 + 375*w - 186.
-3*(w - 62)*(w - 1)**3*(w + 1)
Factor 2*r**2/3 + 12*r - 560/3.
2*(r - 10)*(r + 28)/3
Solve g**3/2 + g**2/2 - g = 0 for g.
-2, 0, 1
Let 2*n**5/7 - 6*n**4/7 - 22*n**3/7 + 30*n**2/7 + 92*n/7 + 48/7 = 0. Calculate n.
-2, -1, 3, 4
What is v in 4*v**4 - 104*v**3 + 692*v**2 - 1408*v + 816 = 0?
1, 2, 6, 17
Factor t**2 + 5*t + 4.
(t + 1)*(t + 4)
Factor -5*i**4 + 395*i**3 + 15*i**2 - 1175*i - 790.
-5*(i - 79)*(i - 2)*(i + 1)**2
Factor 2*m**2 + 318*m - 320.
2*(m - 1)*(m + 160)
Factor -2*y**2/9 - 62*y/9 + 68/3.
-2*(y - 3)*(y + 34)/9
Let 3*c**5 + 18*c**4 - 120*c**3 = 0. Calculate c.
-10, 0, 4
What is u in 5*u**2 + 3855*u = 0?
-771, 0
Factor 3*l**3/5 + 27*l**2/5 - 243*l/5 + 81.
3*(l - 3)**2*(l + 15)/5
Solve -2*r**3 + 62*r**2 - 110*r - 174 = 0 for r.
-1, 3, 29
Determine i, given that 4*i**2 + 328*i + 6724 = 0.
-41
Factor 4*u**4/7 - 76*u**2/7 + 120*u/7.
4*u*(u - 3)*(u - 2)*(u + 5)/7
Factor j**3/3 + 7*j**2/3 + 7*j/3 - 5.
(j - 1)*(j + 3)*(j + 5)/3
Let -3*z**5/4 + 3*z**4/4 + 3*z**3/4 - 3*z**2/4 = 0. Calculate z.
-1, 0, 1
Factor -2*n**2 - 14*n + 16.
-2*(n - 1)*(n + 8)
Suppose -2*t**3 + 146*t**2 + 2*t - 146 = 0. What is t?
-1, 1, 73
Solve -5*a**4 + 11975*a**3 - 35895*a**2 + 35885*a - 11960 = 0.
1, 2392
Factor 3*k**3 - 306*k**2 + 10404*k - 117912.
3*(k - 34)**3
Factor j**5 - 12*j**4 - 43*j**3 - 30*j**2.
j**2*(j - 15)*(j + 1)*(j + 2)
Factor f**5/2 + 8*f**4 - f**3 - 264*f**2 + 1089*f/2.
f*(f - 3)**2*(f + 11)**2/2
Determine y so that 48*y**5/7 + 500*y**4/7 + 618*y**3/7 + 36*y**2/7 - 166*y/7 - 36/7 = 0.
-9, -1, -2/3, -1/4, 1/2
Factor 5*p**2 + 2530*p + 2525.
5*(p + 1)*(p + 505)
Factor -2*i**4/3 - 80*i**3/3 - 26*i**2.
-2*i**2*(i + 1)*(i + 39)/3
Find p such that 2*p**5/11 + 4*p**4/11 - 28*p**3/11 + 16*p**2/11 + 26*p/11 - 20/11 = 0.
-5, -1, 1, 2
Find o, given that 14*o**4/3 + 8*o**3 - 50*o**2/3 + 4*o = 0.
-3, 0, 2/7, 1
Find l such that 2*l**4/5 - 36*l**3/5 + 122*l**2/5 - 144*l/5 + 56/5 = 0.
1, 2, 14
Determine q so that 2*q**5 - 3554*q**4 + 1573524*q**3 + 4745480*q**2 + 3168400*q = 0.
-2, -1, 0, 890
Factor -2*a**2 + 858*a - 856.
-2*(a - 428)*(a - 1)
Let 2*n**5/5 - 26*n**3/5 - 32*n**2/5 + 24*n/5 + 32/5 = 0. Calculate n.
-2, -1, 1, 4
Factor 4*x**3 - 52244*x**2/7 + 24366228*x/7 + 3481956/7.
4*(x - 933)**2*(7*x + 1)/7
Factor -7*r**3/5 + 3431*r**2/5 - 84133*r + 12005.
-(r - 245)**2*(7*r - 1)/5
Factor 3*f**2/4 - 393*f/4 - 510.
3*(f - 136)*(f + 5)/4
Factor -5*o**4 + 3035*o**3 - 459040*o**2 - 462080*o.
-5*o*(o - 304)**2*(o + 1)
Factor 225*h**2 - 235*h - 130.
5*(5*h + 2)*(9*h - 13)
Factor u**4/6 - 14*u**3/3 - 72*u**2 + 3240*u - 25272.
(u - 18)**3*(u + 26)/6
Let f**3 + 52*f**2 + 676*f = 0. Calculate f.
-26, 0
Solve 4*a**4/9 + 44*a**3/3 + 476*a**2/3 + 5356*a/9 + 1352/3 = 0.
-13, -6, -1
Factor 25*z**4 + 20*z**3 - 21*z**2 - 20*z - 4.
(z - 1)*(z + 1)*(5*z + 2)**2
Determine u so that -2*u**4/3 - 86*u**3/3 = 0.
-43, 0
Factor 5*z**2 - 38460*z + 73958580.
5*(z - 3846)**2
Factor 3*x**4 - 120*x**3 + 1074*x**2 + 2520*x + 1323.
3*(x - 21)**2*(x + 1)**2
Factor -p**4/3 + 91*p**3/3 + p**2 - 275*p/3 + 182/3.
-(p - 91)*(p - 1)**2*(p + 2)/3
Factor 882*f**3 + 2688*f**2 + 2048*f.
2*f*(21*f + 32)**2
Factor 4*o**3/7 + 36*o**2/7 - 328*o/7 + 480/7.
4*(o - 4)*(o - 2)*(o + 15)/7
Factor f**2 + 51*f - 106.
(f - 2)*(f + 53)
Determine w, given that -w**2/6 + 28*w/3 - 55/6 = 0.
1, 55
Factor 2*s**3 - 1488*s**2 + 369024*s - 30505984.
2*(s - 248)**3
Solve -10*m**3/3 + 13*m**2 - 29*m/3 + 2 = 0.
2/5, 1/2, 3
Factor 11*p**2 - 2*p.
p*(11*p - 2)
Factor -2*o**5/21 + 34*o**4/21 - 188*o**3/21 + 380*o**2/21 - 46*o/3 + 14/3.
-2*(o - 7)**2*(o - 1)**3/21
Factor z**4/4 - 39*z**3/2 + 769*z**2/4 + 7332*z + 35344.
(z - 47)**2*(z + 8)**2/4
Factor -5*f**2 - 25*f.
-5*f*(f + 5)
Factor -a**3/2 - 49*a**2/2 - 302*a - 510.
-(a + 2)*(a + 17)*(a + 30)/2
What is k in 289*k**5 - 1666*k**4 + 2197*k**3 - 568*k**2 - 236*k - 16 = 0?
-2/17, 1, 4
Solve -2*a**4 - 4*a**3/5 + 2*a**2 + 4*a/5 = 0.
-1, -2/5, 0, 1
Factor -4*o**2 - 208*o - 1548.
-4*(o + 9)*(o + 43)
Factor -t**3 + 2*t**2 - t.
-t*(t - 1)**2
Solve -3*v**2/4 - 21*v/4 - 9 = 0 for v.
-4, -3
Find m such that -5*m**3 - 15*m**2 + 5*m + 15 = 0.
-3, -1, 1
Factor -27*d**4 - 