11, 2, 9
Let -2*z**2/5 - 112*z/5 + 96 = 0. What is z?
-60, 4
Factor 22*s**4 - 4*s**3 - 22*s**2 + 4*s.
2*s*(s - 1)*(s + 1)*(11*s - 2)
Find i such that -2*i**3/15 - 98*i**2/15 + 2*i/15 + 98/15 = 0.
-49, -1, 1
Find j such that -j**2/6 + 71*j/3 - 5041/6 = 0.
71
Suppose -1764*m**2 - 3530*m - 4 = 0. Calculate m.
-2, -1/882
Suppose -2*p**4/9 + 14*p**3/9 - 2*p**2 - 6*p + 12 = 0. What is p?
-2, 3
What is g in -2*g**4/5 + 36*g**3/5 - 34*g**2/5 - 984*g/5 - 1512/5 = 0?
-3, -2, 9, 14
Determine c so that 2*c**4/15 + 28*c**3/5 + 962*c**2/15 + 112*c + 160/3 = 0.
-20, -1
Factor 783752*v**2 + 7512*v + 18.
2*(626*v + 3)**2
Factor -4*l**3 - 300*l**2 + 304*l.
-4*l*(l - 1)*(l + 76)
Factor -2*h**4 + 24*h**3 + 2*h**2 - 24*h.
-2*h*(h - 12)*(h - 1)*(h + 1)
Find h such that 4*h**4/5 + 10*h**3 + 134*h**2/5 - 16*h = 0.
-8, -5, 0, 1/2
Determine b, given that -2*b**4/9 + 16*b**3/9 - 256*b/9 + 512/9 = 0.
-4, 4
Factor 2*c**4 + 466*c**3 + 4484*c**2 + 5208*c - 32112.
2*(c - 2)*(c + 6)**2*(c + 223)
Find r such that -2*r**5/9 - 22*r**4 - 1600*r**3/3 + 5000*r**2/9 = 0.
-50, 0, 1
Solve -2*c**3 - 112*c**2 - 1568*c = 0.
-28, 0
Let -48*b**3 - 39*b**2 + 9*b = 0. What is b?
-1, 0, 3/16
Determine h, given that -2*h**3/17 + 296*h**2/17 = 0.
0, 148
Let -4*c**3 - 12*c**2 + 16 = 0. What is c?
-2, 1
Factor -2*i**4/15 - 4*i**3/5 + 224*i**2/15.
-2*i**2*(i - 8)*(i + 14)/15
Find b such that b**3 - 6*b**2 - 7*b = 0.
-1, 0, 7
Factor -12*k**2/13 + 98*k/13 - 16/13.
-2*(k - 8)*(6*k - 1)/13
Let -2*r**4/3 - 62*r**3/9 - 62*r**2/9 + 94*r/9 + 4 = 0. What is r?
-9, -2, -1/3, 1
Factor -x**2/6 + 220*x/3 - 24200/3.
-(x - 220)**2/6
What is l in 2*l**5/7 + 10*l**4/7 - 18*l**3/7 - 34*l**2/7 + 16*l/7 + 24/7 = 0?
-6, -1, 1, 2
Determine g so that -20*g**2 + 3045*g + 2295 = 0.
-3/4, 153
Factor 9*u**2/8 - 2491*u/8 - 277/4.
(u - 277)*(9*u + 2)/8
Factor -5*y**3 - 45*y**2 - 90*y.
-5*y*(y + 3)*(y + 6)
Factor 84*w**4 - 32*w**3 - 16*w**2.
4*w**2*(3*w - 2)*(7*w + 2)
What is p in -10*p**2/9 + 8*p/9 + 8/3 = 0?
-6/5, 2
Factor 12*o**2 + 3993*o - 999.
3*(o + 333)*(4*o - 1)
Factor w**2/4 - 45*w/2 + 2025/4.
(w - 45)**2/4
Factor 4*m**2 + 136*m - 140.
4*(m - 1)*(m + 35)
Let -9*p**5 - 3*p**4 + 24*p**3 - 12*p**2 = 0. Calculate p.
-2, 0, 2/3, 1
Factor -g**4/12 + 3*g**2/2 - 8*g/3 + 5/4.
-(g - 3)*(g - 1)**2*(g + 5)/12
Factor -4*q**3 + 40*q**2 + 284*q + 240.
-4*(q - 15)*(q + 1)*(q + 4)
Determine l, given that 2*l**2/19 - 96*l/19 = 0.
0, 48
Determine z so that 5*z**2/4 - 350*z + 1395/4 = 0.
1, 279
Factor -x**4/3 + x**2/3.
-x**2*(x - 1)*(x + 1)/3
Determine g so that 2*g**2 - 194*g - 196 = 0.
-1, 98
Factor -5*x**2 - 650*x.
-5*x*(x + 130)
Factor 4*q**2 - 2456*q + 376996.
4*(q - 307)**2
What is v in 7*v**4/10 - 11*v**3 - 39*v**2/10 + 11*v + 16/5 = 0?
-1, -2/7, 1, 16
Determine k, given that -8*k**4/7 - 10*k**3 - 172*k**2/7 - 110*k/7 = 0.
-5, -11/4, -1, 0
Let 4*y**2 + 184*y + 1920 = 0. What is y?
-30, -16
Determine u so that -2*u**4 - 22*u**3 + 6*u**2 + 70*u + 44 = 0.
-11, -1, 2
Factor w**2/4 - 135*w/4 - 139.
(w - 139)*(w + 4)/4
Factor -x**2/4 + 331*x/2 - 109561/4.
-(x - 331)**2/4
Determine b, given that -2*b**3 - 126*b**2 - 244*b = 0.
-61, -2, 0
Let 2*l**4/9 - 4*l**3/3 - 106*l**2/9 - 20*l/3 + 176/9 = 0. Calculate l.
-4, -2, 1, 11
Suppose 2*d**3/9 + 88*d**2/9 + 250*d/9 + 164/9 = 0. What is d?
-41, -2, -1
Factor 3*q**3 + 155*q**2 + 534*q + 288.
(q + 3)*(q + 48)*(3*q + 2)
Factor -6*r**3/7 - 354*r**2 + 1068*r - 4992/7.
-6*(r - 2)*(r - 1)*(r + 416)/7
Factor -3*i**2 - 315*i + 1308.
-3*(i - 4)*(i + 109)
Factor -3*n**3/2 + 99*n**2/2 - 945*n/2 + 2025/2.
-3*(n - 15)**2*(n - 3)/2
Factor 4*m**2/5.
4*m**2/5
Suppose k**3/4 + 97*k**2/4 - 25*k - 49 = 0. What is k?
-98, -1, 2
What is p in 2*p**4/5 + 10*p**3 + 378*p**2/5 + 814*p/5 + 484/5 = 0?
-11, -2, -1
Factor -18*h**2 - 56*h - 40.
-2*(h + 2)*(9*h + 10)
Factor 4*j**2 - 3928*j + 964324.
4*(j - 491)**2
Find m, given that 4*m**4 + 364*m**3 - 740*m**2 + 372*m = 0.
-93, 0, 1
Factor u**3/3 + 1195*u**2/3 + 2387*u/3 + 1193/3.
(u + 1)**2*(u + 1193)/3
Factor -5*u**2 - 3280*u - 537920.
-5*(u + 328)**2
Let -5*s**3 - 1490*s**2 - 1485*s = 0. What is s?
-297, -1, 0
Factor 5*h**3 - 285*h**2 + 4200*h - 3920.
5*(h - 28)**2*(h - 1)
Factor -3*v**3/7 + 9*v**2 - 366*v/7 + 72.
-3*(v - 12)*(v - 7)*(v - 2)/7
Find m, given that 3*m**2 + 30*m - 357 = 0.
-17, 7
Find y such that -10*y**4 + 26*y**3 - 8*y**2 - 8*y = 0.
-2/5, 0, 1, 2
Factor -u**3 - 5*u**2 - 8*u - 4.
-(u + 1)*(u + 2)**2
Factor -y**2/7 + 297*y/7.
-y*(y - 297)/7
Solve 3*y**3 - 99*y**2 + 1089*y - 3993 = 0.
11
Let -3*p**4 + 6*p**3 + 75*p**2 - 6*p - 72 = 0. Calculate p.
-4, -1, 1, 6
Determine f, given that 65*f**2 - 855*f + 130 = 0.
2/13, 13
Factor 3*n**5 - 12*n**4 + 12*n**3 + 6*n**2 - 15*n + 6.
3*(n - 2)*(n - 1)**3*(n + 1)
Let -5*a**3 - 35*a**2 - 60*a = 0. Calculate a.
-4, -3, 0
Factor -q**4/4 - q**3 + 3*q**2 + 16*q + 16.
-(q - 4)*(q + 2)**2*(q + 4)/4
Suppose 27*c**2/7 - 39*c/7 + 12/7 = 0. What is c?
4/9, 1
Suppose 2*n**3 + 222*n**2 + 1278*n + 1890 = 0. What is n?
-105, -3
Factor 2*y**2/13 - 812*y/13 - 814/13.
2*(y - 407)*(y + 1)/13
Solve -3*y**3/2 - 51*y**2 + 246*y + 684 = 0 for y.
-38, -2, 6
Factor -2*s**3 - 186*s**2 - 888*s - 704.
-2*(s + 1)*(s + 4)*(s + 88)
Factor -s**4/2 + 42*s**3 - 351*s**2 + 1026*s - 2025/2.
-(s - 75)*(s - 3)**3/2
Factor -u**2 + 10*u - 9.
-(u - 9)*(u - 1)
Determine m so that 6*m**3/5 - 68*m**2/5 + 18*m/5 + 44/5 = 0.
-2/3, 1, 11
Factor -118*m**5 + 330*m**4 - 282*m**3 + 46*m**2 + 24*m.
-2*m*(m - 1)**3*(59*m + 12)
Suppose -t**4/4 - 5*t**3/4 + t**2/4 + 5*t/4 = 0. Calculate t.
-5, -1, 0, 1
Factor -h**2/6 - 403*h/6.
-h*(h + 403)/6
Factor -3*b**4 - 87*b**3 - 165*b**2 - 81*b.
-3*b*(b + 1)**2*(b + 27)
Solve w**2/4 - 9*w/4 - 11/2 = 0.
-2, 11
Factor -70*n**2 - 345*n + 25.
-5*(n + 5)*(14*n - 1)
Determine u so that -4*u**2 + 100*u - 96 = 0.
1, 24
Factor -5*n**5 - 70*n**4 - 120*n**3 + 10*n**2 + 125*n + 60.
-5*(n - 1)*(n + 1)**3*(n + 12)
Factor -v**2/2 + 18421*v/6 - 3070/3.
-(v - 6140)*(3*v - 1)/6
Suppose -p**3/5 + 14*p**2/5 - 7*p + 22/5 = 0. What is p?
1, 2, 11
Determine v so that 5*v**4/3 - 10*v**3/3 + 10*v/3 - 5/3 = 0.
-1, 1
Suppose -2*c**2/15 + 364*c - 10912/15 = 0. Calculate c.
2, 2728
Solve -v**5/9 + v**4/3 - v**3/9 - v**2/3 + 2*v/9 = 0 for v.
-1, 0, 1, 2
Factor u**2 + 22*u + 112.
(u + 8)*(u + 14)
Factor -4*j**2 + 1336*j - 1332.
-4*(j - 333)*(j - 1)
Factor -2*z**3/9 + 4*z**2/9.
-2*z**2*(z - 2)/9
Factor c**4/8 + c**3/4 - 33*c**2/2 - 385*c/4 - 637/8.
(c - 13)*(c + 1)*(c + 7)**2/8
Find q, given that q**3/8 - 2*q**2 - 101*q/8 - 21/2 = 0.
-4, -1, 21
Factor 27*d**3 - 75*d**2 - 504*d - 108.
3*(d - 6)*(d + 3)*(9*d + 2)
Factor 89*l**3/2 - l**2 - 89*l/2 + 1.
(l - 1)*(l + 1)*(89*l - 2)/2
Factor 4*t**4 - 20*t**3.
4*t**3*(t - 5)
Let -2*t**4/21 + 16*t**3/21 - 12*t**2/7 + 32*t/21 - 10/21 = 0. Calculate t.
1, 5
Factor 5*x**2 + 40*x.
5*x*(x + 8)
Determine g, given that -2*g**4/9 + 34*g**3/9 - 136*g**2/9 + 200*g/9 - 32/3 = 0.
1, 2, 12
Factor o**5 + 10*o**4 - 8*o**3 - 80*o**2 + 16*o + 160.
(o - 2)**2*(o + 2)**2*(o + 10)
Suppose o**4 + 5*o**3/2 - 15*o**2/2 - 5*o + 4 = 0. Calculate o.
-4, -1, 1/2, 2
Determine j so that -2*j**2/9 - 352*j/3 - 15488 = 0.
-264
Suppose 3*u**4 + 69*u**3 + 567*u**2 + 1911*u + 2058 = 0. What is u?
-7, -2
Factor 3*a**3/2 + 12*a**2 + 18*a.
3*a*(a + 2)*(a + 6)/2
Suppose -q**2/2 + 20*q - 200 = 0. What is q?
20
Find f such that -3*f**2/4 + 27*f/2 = 0.
0, 18
Solve 2*g**2/9 + 52*g + 3042 = 0 for g.
-117
Factor -2*u**5 - 24*u**4 - 60*u**3 - 56*u**2 - 18*u.
-2*u*(u + 1)**3*(u + 9)
Solve i**5 + 170*i**4 + 169*i**3 = 0.
-169, -1, 0
Let -4*l**2 - 5168*l - 1669264 = 0. Calculate l.
-646
Solve 5*r**3 + 55*r**2 + 95*r + 45 = 0 for r.
-9, -1
Solve 36*y**3 + 55*y**2 + 13*y - 6 = 0.
-1, -3/4, 2/9
What is u in -304*u**5/3 - 20*u**4/3 + 14*u**3/3 = 0?
-1/4, 0, 7/38
Factor 3*i**4 + 21*i**3 + 48*i**2 + 36*i.
3*i*(i + 2)**2*(i + 3)
Factor -5*o**4 - 70*o**3 + 320*o**2 + 2080*o - 7680.
-5*(o - 4)**2*(o + 6)*(o + 16)
Determine r so that 4*r**2/9 - 224*r/9 + 832/9 = 0.
4, 52
Solve 5*s**5/6 - 59*s**4/6 + 43*s**3/6 + 11*s**2/6 = 0 for s.
-1/5, 0, 1, 11
Find a, given that -132*a**4/7 - 52*a**3/7 + 68*a**2/7 - 12*a/7 = 0.
-1, 0, 3/11, 1/3
Find t such that -2*t**4/5 - 22*t**3/5 - 48*t**2/5 + 8*t/5 + 64/5 = 0.
-8, -2, 1
Find v such that 8*v**4/7 + 402*v**3/7 + 6144*v**2/7 + 27368*v/7 + 34