0. What is w?
-7, -1, -2/5
Factor w**2/8 - 37*w/8 + 9/2.
(w - 36)*(w - 1)/8
Factor 2*r**2 - 192*r - 194.
2*(r - 97)*(r + 1)
Let 3*m**2 - 42*m + 72 = 0. What is m?
2, 12
Factor -2*z**2 - 214*z/5 - 84/5.
-2*(z + 21)*(5*z + 2)/5
Solve 2*k**2/7 - 570*k/7 + 1132/7 = 0 for k.
2, 283
Determine s so that 3*s**2 + 837*s + 834 = 0.
-278, -1
Find p, given that 2*p**4/3 - 26*p**3/3 + 106*p**2/3 - 142*p/3 + 20 = 0.
1, 5, 6
Factor -26*q**2/5 - 496*q/5 - 38/5.
-2*(q + 19)*(13*q + 1)/5
Factor 6*l**3/5 - 352*l**2/5 - 118*l/5.
2*l*(l - 59)*(3*l + 1)/5
Solve r**3/3 + 68*r**2 = 0 for r.
-204, 0
Solve -d**2/3 + 14*d/3 - 8 = 0.
2, 12
Factor -q**2/2 + 1009*q/2 + 505.
-(q - 1010)*(q + 1)/2
Let 3*u**4 - 1065*u**3 + 126378*u**2 - 5054412*u + 4929096 = 0. Calculate u.
1, 118
Factor 3*c**4 - 171*c**3 + 165*c**2 + 171*c - 168.
3*(c - 56)*(c - 1)**2*(c + 1)
Factor -11*k**3/3 + 7*k**2/3 + 98*k/3 + 80/3.
-(k + 1)*(k + 2)*(11*k - 40)/3
Factor -2*v**2/13 + 140*v/13 - 2450/13.
-2*(v - 35)**2/13
What is i in -2*i**2 - 888*i + 890 = 0?
-445, 1
Find o such that 4*o**3/3 - 12*o**2 - 748*o + 28900/3 = 0.
-25, 17
Find h, given that -2*h**2 - 28*h = 0.
-14, 0
Determine c so that c**4 - 1225*c**3 - 3681*c**2 - 3683*c - 1228 = 0.
-1, 1228
What is r in -84*r**2 + 3788*r - 360 = 0?
2/21, 45
Factor v**5/7 + 12*v**4/7 + 20*v**3/7 - 2*v**2/7 - 3*v - 10/7.
(v - 1)*(v + 1)**3*(v + 10)/7
Factor 2*o**2 - 2422*o - 4852.
2*(o - 1213)*(o + 2)
Suppose 2*h**5/13 + 4*h**4/13 - 30*h**3/13 = 0. What is h?
-5, 0, 3
Factor 2*p**3/9 - 520*p**2/9 + 33800*p/9.
2*p*(p - 130)**2/9
Suppose -240*q**5 - 552*q**4 - 363*q**3 - 60*q**2 = 0. What is q?
-5/4, -4/5, -1/4, 0
What is z in z**4/4 + 51*z**3/2 + 2701*z**2/4 + 1275*z + 625 = 0?
-50, -1
Solve -r**4/6 - r**3/6 + 8*r**2/3 + 8*r/3 = 0.
-4, -1, 0, 4
Factor 4*f**2 + 20*f + 25.
(2*f + 5)**2
Suppose -2*y**2/7 + 164*y/7 + 510/7 = 0. Calculate y.
-3, 85
Factor 22*u**2/7 - 6*u/7.
2*u*(11*u - 3)/7
Let -2*j**2/7 - 8*j/7 + 10/7 = 0. Calculate j.
-5, 1
Factor 4*v**3 + 172*v**2 + 332*v + 164.
4*(v + 1)**2*(v + 41)
Factor 14*k**2/13 - 24*k/13 - 8/13.
2*(k - 2)*(7*k + 2)/13
Factor -5*g**2 - 225*g - 630.
-5*(g + 3)*(g + 42)
Suppose -2*v**3/3 + 70*v**2/3 + 8*v/3 - 280/3 = 0. What is v?
-2, 2, 35
Factor 4*m**3 + 48*m**2 + 84*m + 40.
4*(m + 1)**2*(m + 10)
Determine c, given that 2*c**5/5 - 2*c**4/5 - 14*c**3/5 + 2*c**2/5 + 12*c/5 = 0.
-2, -1, 0, 1, 3
Suppose 4*l**2 + 508*l - 512 = 0. What is l?
-128, 1
What is x in -25*x**3 - 265*x**2 + 110*x = 0?
-11, 0, 2/5
Let -2*i**2/13 - 16*i/13 + 18/13 = 0. Calculate i.
-9, 1
Factor 2*u**3/9 + 442*u**2/3 + 97682*u/3 + 21587722/9.
2*(u + 221)**3/9
Factor -w**2 - 8*w + 33.
-(w - 3)*(w + 11)
What is p in 60*p**5/7 + 14*p**4 + 8*p**3/7 - 36*p**2/7 - 4*p/7 + 2/7 = 0?
-1, -1/3, 1/5, 1/2
Factor -2*d**2/17 - 78*d/17.
-2*d*(d + 39)/17
Factor 15*w**4 + 43*w**3/3 - 92*w**2/3 + 4*w/3.
w*(w - 1)*(w + 2)*(45*w - 2)/3
Determine b so that -b**5/3 + 31*b**4/3 + 448*b**3/3 - 10336*b**2/3 - 41216*b - 37632 = 0.
-12, -1, 28
Solve -20*p**5/7 - 464*p**4 - 125876*p**3/7 + 488008*p**2/7 - 335984*p/7 - 220448/7 = 0.
-83, -2/5, 2
Find r such that -r**3 + 124*r**2 - 484*r + 480 = 0.
2, 120
Suppose -p**2/10 - 53*p/10 = 0. What is p?
-53, 0
Let -2*o**4/11 + 82*o**3/11 = 0. Calculate o.
0, 41
Determine b, given that 3*b**5/7 + 89*b**4/7 + 55*b**3/7 - 89*b**2/7 - 58*b/7 = 0.
-29, -1, -2/3, 0, 1
Find h such that 3*h**5/4 + 25*h**4 + 1113*h**3/4 + 1062*h**2 + 324*h = 0.
-12, -9, -1/3, 0
Suppose f**4 + 10*f**3 + 17*f**2 + 8*f = 0. What is f?
-8, -1, 0
Factor b**2/5 - 109*b/5 + 2214/5.
(b - 82)*(b - 27)/5
Find m such that -3*m**2/2 + 21*m/2 + 45 = 0.
-3, 10
Solve -2*n**5/3 - 44*n**4/3 + 252*n**3 - 2240*n**2/3 - 6050*n/3 + 8500 = 0.
-34, -3, 5
Factor 3*f**5 - 24*f**4 - 216*f**3 - 480*f**2 - 336*f.
3*f*(f - 14)*(f + 2)**3
Factor -o**5 + 6*o**4 + 6*o**3 - 44*o**2 + 51*o - 18.
-(o - 6)*(o - 1)**3*(o + 3)
Factor 5*q**2 - 295*q + 4320.
5*(q - 32)*(q - 27)
Find z such that 32*z**5 + 200*z**4 + 344*z**3 - 46*z**2 - 430*z - 100 = 0.
-5/2, -2, -1/4, 1
Solve 7*f**3 + 15*f**2 - 88*f + 60 = 0.
-5, 6/7, 2
Factor -2*b**2/11 + 222*b/11 - 20.
-2*(b - 110)*(b - 1)/11
Factor 5*z**2 - 300*z - 305.
5*(z - 61)*(z + 1)
Determine j, given that 2*j**2 - 44*j - 96 = 0.
-2, 24
Determine o, given that -98*o**5/9 + 1330*o**4/9 + 25136*o**3/9 + 73520*o**2/9 - 16096*o/3 + 800 = 0.
-6, 2/7, 25
Factor t**4/4 - 5*t**3/4 + 3*t**2/4 + 5*t/4 - 1.
(t - 4)*(t - 1)**2*(t + 1)/4
Suppose 156*f**2/5 + 786*f/5 + 6 = 0. What is f?
-5, -1/26
Solve -2*y**3/3 + 65*y**2/3 + 101*y/3 + 34/3 = 0.
-1, -1/2, 34
Factor a**4/6 + 38*a**3 + 2960*a**2 + 251896*a/3 + 405224.
(a + 6)*(a + 74)**3/6
Factor -h**4/2 + 2*h**3 - 8*h + 8.
-(h - 2)**3*(h + 2)/2
Factor 3*r**3/8 + 177*r**2/8 + 1245*r/8 + 1071/8.
3*(r + 1)*(r + 7)*(r + 51)/8
Determine q so that q**5/9 + 16*q**4/9 + 19*q**3/3 - 106*q**2/9 - 352*q/9 + 128/3 = 0.
-8, -3, 1, 2
What is r in 3*r**3 + 129*r**2 + 1785*r + 7803 = 0?
-17, -9
Factor 44*h**3 - 48*h**2 + 4*h.
4*h*(h - 1)*(11*h - 1)
Factor -2*l**2 + 1656*l - 342792.
-2*(l - 414)**2
Suppose 2*y**5/3 - 100*y**4/3 + 544*y**3 - 8092*y**2/3 - 9826*y/3 = 0. Calculate y.
-1, 0, 17
Factor -2*n**3 + 1356*n**2.
-2*n**2*(n - 678)
Factor j**4 + 57*j**3 + 1155*j**2 + 10043*j + 31944.
(j + 11)**3*(j + 24)
Let 5*i**2 - 170*i + 840 = 0. Calculate i.
6, 28
Let 3*b**5/7 - 15*b**4/7 - 9*b**3/7 + 123*b**2/7 - 174*b/7 + 72/7 = 0. Calculate b.
-3, 1, 2, 4
Factor -2*r**3/17 - 108*r**2/17.
-2*r**2*(r + 54)/17
What is b in -3*b**5/7 + 237*b**4/7 - 5637*b**3/7 + 38163*b**2/7 - 13080*b + 8400 = 0?
1, 4, 35
Factor -10*s**3 + 124*s**2 - 94*s - 228.
-2*(s - 2)*(s + 1)*(5*s - 57)
Determine f, given that -f**5 - 238*f**4 - 941*f**3 - 1172*f**2 - 468*f = 0.
-234, -2, -1, 0
Determine o, given that 5*o**3 - 15*o**2 - 90*o = 0.
-3, 0, 6
Suppose -3*q**2/2 + 12084*q - 24337176 = 0. Calculate q.
4028
Find s, given that 62*s**3/15 - 1324*s**2/5 + 11602*s/15 - 244/5 = 0.
2/31, 3, 61
Factor -n**2/5 - 92*n - 10580.
-(n + 230)**2/5
Factor -r**3 - 14*r**2 - 11*r + 26.
-(r - 1)*(r + 2)*(r + 13)
Determine y so that 405*y**3 - 1615*y**2 - 2045*y - 25 = 0.
-1, -1/81, 5
Factor w**4 + 158*w**3 + 6548*w**2 + 24178*w + 17787.
(w + 1)*(w + 3)*(w + 77)**2
Factor f**5/4 + 31*f**4/4 + 29*f**3/2.
f**3*(f + 2)*(f + 29)/4
Factor -5*x**4.
-5*x**4
Factor 5*a**5 + 45*a**4 + 145*a**3 + 195*a**2 + 90*a.
5*a*(a + 1)*(a + 2)*(a + 3)**2
Factor -m**2/6 - 3*m.
-m*(m + 18)/6
Determine h so that -2*h**4/13 + 4012*h**3/13 - 2012018*h**2/13 = 0.
0, 1003
Determine c, given that 2*c**2/9 - 478*c/9 + 476/9 = 0.
1, 238
Factor 18*q**4 - 48*q**3 + 44*q**2 - 16*q + 2.
2*(q - 1)**2*(3*q - 1)**2
Factor 75*s**3 + 555*s**2 + 693*s - 1323.
3*(s - 1)*(5*s + 21)**2
Find u such that u**4 - 5*u**3 + 3*u**2 + 9*u = 0.
-1, 0, 3
Factor 2*p**3/3 + 32*p**2 + 62*p - 26908/3.
2*(p - 14)*(p + 31)**2/3
Solve -5*d**5 + 270*d**4 + 3775*d**3 + 12000*d**2 + 13780*d + 5280 = 0 for d.
-8, -2, -1, 66
Factor 5*h**2 + 575*h + 1130.
5*(h + 2)*(h + 113)
Solve -2*c**5 - 140*c**4 - 404*c**3 - 128*c**2 + 406*c + 268 = 0 for c.
-67, -2, -1, 1
Factor 3*g**4/2 + 114*g**3 + 3249*g**2 + 41154*g + 390963/2.
3*(g + 19)**4/2
Solve 3*u**5/4 + 177*u**4/4 + 171*u**3/2 - 3*u**2/2 - 345*u/4 - 171/4 = 0 for u.
-57, -1, 1
Suppose 2*n**5/17 + 26*n**4/17 - 30*n**3/17 - 26*n**2/17 + 28*n/17 = 0. What is n?
-14, -1, 0, 1
What is s in 5*s**3/3 + 5*s**2/3 - 10*s/3 = 0?
-2, 0, 1
Factor 2*k**3/5 - 6*k**2/5 - 18*k/5 - 2.
2*(k - 5)*(k + 1)**2/5
Factor c**2/3 - 325*c/3 - 1316/3.
(c - 329)*(c + 4)/3
Solve -525*a**3 + 8394*a**2 - 33504*a - 384 = 0.
-2/175, 8
Find b, given that 3*b**5/2 - 138*b**4 + 801*b**3/2 + 6*b**2 - 534*b = 0.
-1, 0, 2, 89
Solve 5*j**2 + 12370*j + 12365 = 0 for j.
-2473, -1
Factor -h**2/3 + 157*h/3 + 498.
-(h - 166)*(h + 9)/3
Factor -3*b**3 - 36*b**2 - 87*b + 126.
-3*(b - 1)*(b + 6)*(b + 7)
Find c, given that 15*c**2 + 290*c - 200 = 0.
-20, 2/3
What is o in 2*o**3/15 - 58*o**2/15 + 494*o/15 - 338/5 = 0?
3, 13
Find a such that 4*a**5/5 + 44*a**4/5 + 124*a**3/5 - 76*a**2/5 - 112*a - 80 = 0.
-5, -2, -1, 2
Factor -4*s**2/3 + 628*s/3 - 3040/3.
-4*(s - 152)*(s - 5)/3
Factor 2*i**3/9 - 14*i**2/9 + 10*i/3 - 2.
2*(i - 3)**2*(i - 1)/9
Let -4*b**4 - 80*b**3 - 396*b**2 - 352*b + 832 = 0. Calculate b.
-13, -4, 1
Factor -2*m**3 + 6*m - 4.
-2*(m - 1)**2