 4*i/3 + 40.
-(i - 12)*(i + 20)/6
Suppose -10*w**3/11 + 174*w**2/11 - 488*w/11 + 168/11 = 0. What is w?
2/5, 3, 14
Factor 5*f**2/4 - 209*f/4 - 21/2.
(f - 42)*(5*f + 1)/4
Determine b so that 2*b**2/9 + 16*b + 670/9 = 0.
-67, -5
What is l in -l**5 + 8*l**4 - 25*l**3 + 38*l**2 - 28*l + 8 = 0?
1, 2
Factor 2*q**2 + 4476*q - 4478.
2*(q - 1)*(q + 2239)
Factor -3*v**3/4 - 9*v**2/4 + 51*v/2 + 90.
-3*(v - 6)*(v + 4)*(v + 5)/4
Suppose 2*g**4 - 6*g**3 - 6*g**2 + 22*g - 12 = 0. What is g?
-2, 1, 3
What is v in v**2/12 + 35*v + 419/12 = 0?
-419, -1
Suppose -x**3/2 - 34*x**2 + 139*x/2 - 35 = 0. What is x?
-70, 1
Solve 4*k**5 + 8*k**4 - 48*k**3 - 56*k**2 + 44*k + 48 = 0.
-4, -1, 1, 3
Factor -11*o**3/6 - o**2/3 + 22*o/3 + 4/3.
-(o - 2)*(o + 2)*(11*o + 2)/6
Factor -u**3/2 + 11*u**2/2 - 31*u/2 + 21/2.
-(u - 7)*(u - 3)*(u - 1)/2
Determine w so that 2*w**5 + 1334*w**4/3 + 230942*w**3/9 + 944182*w**2/9 + 955712*w/9 + 95048/3 = 0.
-109, -3, -2/3
Let -v**2/4 + 41*v/2 - 238 = 0. Calculate v.
14, 68
Factor -y**3 + 2*y**2 + 3*y.
-y*(y - 3)*(y + 1)
Suppose -7*m**5 - 309*m**4/4 + 691*m**3/4 - 317*m**2/4 - 63*m/4 + 13/2 = 0. What is m?
-13, -2/7, 1/4, 1
Find t such that -3*t**3 - 12*t**2 - 15*t - 6 = 0.
-2, -1
Suppose -4*v**2 + 104*v + 224 = 0. What is v?
-2, 28
Factor 2*q**3 + 74*q**2 + 496*q + 928.
2*(q + 4)**2*(q + 29)
Factor -50*m**3 - 96*m**2 + 8*m.
-2*m*(m + 2)*(25*m - 2)
Factor 2*w**2/9 + 56*w/3 + 392.
2*(w + 42)**2/9
Let -507*p**4 - 17082*p**3 - 141231*p**2 + 44676*p - 3468 = 0. Calculate p.
-17, 2/13
Factor -b**4 + 3*b**3 - 3*b**2 + b.
-b*(b - 1)**3
Determine y, given that y**4 + 405*y**3 + 2406*y**2 + 4796*y + 3192 = 0.
-399, -2
Factor -3*f**4 + 201*f**3 - 3159*f**2 - 32805*f + 826686.
-3*(f - 27)**3*(f + 14)
Determine u so that -20*u**3 + 72*u**2 - 28*u - 24 = 0.
-2/5, 1, 3
Let -2*q**2/3 + 244*q/3 = 0. Calculate q.
0, 122
Solve -5*z**2 + 40*z - 80 = 0.
4
Suppose d**3/2 - 133*d/2 + 66 = 0. Calculate d.
-12, 1, 11
Let 90*z**3 + 375*z**2 - 1820*z - 7605 = 0. Calculate z.
-13/3, 9/2
Determine z, given that -10*z**4 + 6*z**3 + 54*z**2 + 50*z + 12 = 0.
-1, -2/5, 3
Solve 2*b**3/3 - 4*b**2 - 120*b + 2800/3 = 0.
-14, 10
Factor -a**2 - 4656*a - 5419584.
-(a + 2328)**2
Factor -u**5/3 + 7*u**4/3 - 5*u**3 + 3*u**2.
-u**2*(u - 3)**2*(u - 1)/3
Factor 2*z**3/7 - 8*z/7.
2*z*(z - 2)*(z + 2)/7
Factor -5*f**4/4 - 11*f**3/4 - f**2/2.
-f**2*(f + 2)*(5*f + 1)/4
Let 5*h**3 - 170*h**2 + 325*h - 160 = 0. Calculate h.
1, 32
Determine u, given that -2*u**4 - 5*u**3 + 5*u + 2 = 0.
-2, -1, -1/2, 1
Factor 2*z**2/7 - 4*z/7.
2*z*(z - 2)/7
Solve -4*l**2 + 7044*l + 14104 = 0.
-2, 1763
Let -2*q**4 - 4*q**3 + 8*q**2 + 4*q - 6 = 0. What is q?
-3, -1, 1
Suppose -3*u**2/2 + 20*u - 64 = 0. Calculate u.
16/3, 8
What is y in -14*y**2 - 10*y + 4 = 0?
-1, 2/7
What is q in -5*q**2 - 20025*q - 40030 = 0?
-4003, -2
Let -2*u**5 + 14*u**4 - 12*u**3 - 64*u**2 + 64*u = 0. What is u?
-2, 0, 1, 4
Factor -j**4/4 - 13*j**3/4 - 12*j**2 - 9*j.
-j*(j + 1)*(j + 6)**2/4
Find o such that -o**2 - 3*o + 28 = 0.
-7, 4
Determine t, given that 4*t**4 - 1556*t**3 - 3124*t**2 - 1564*t = 0.
-1, 0, 391
Factor -2*l**3 + 804*l**2 - 83922*l + 620944.
-2*(l - 197)**2*(l - 8)
What is p in 4*p**3 - 36*p**2 - 192*p - 208 = 0?
-2, 13
Solve 3*i**5/2 + 9*i**4/2 - 3*i**3/2 - 21*i**2/2 + 6 = 0 for i.
-2, -1, 1
Find i, given that 44*i**5 - 184*i**4 - 188*i**3 + 40*i**2 = 0.
-1, 0, 2/11, 5
Factor 605*t**2 - 110*t + 5.
5*(11*t - 1)**2
Factor -x**5 + 11*x**4 - 35*x**3 + 25*x**2.
-x**2*(x - 5)**2*(x - 1)
Let 4*f**2 - 26880*f + 45158400 = 0. Calculate f.
3360
Solve 4*g**4 - 60*g**3 + 308*g**2 - 660*g + 504 = 0 for g.
2, 3, 7
Factor -m**5 - 3*m**4 + 6*m**3 + 8*m**2.
-m**2*(m - 2)*(m + 1)*(m + 4)
Factor -y**3/5 + 29*y**2/5 - 38*y.
-y*(y - 19)*(y - 10)/5
Find w such that -w**4/7 - 254*w**3/7 - 18033*w**2/7 - 34544*w - 129472 = 0.
-119, -8
Determine s so that -9*s**4/4 + 3*s**3 + 87*s**2/4 + 21*s/2 - 6 = 0.
-2, -1, 1/3, 4
Determine m, given that -20*m**4/3 - 56*m**3/3 + 68*m**2/3 + 200*m/3 + 32 = 0.
-3, -1, -4/5, 2
Factor 4*s**2 - 16*s - 20.
4*(s - 5)*(s + 1)
Suppose 5*q**3 + 1820*q**2 - 5*q - 1820 = 0. Calculate q.
-364, -1, 1
Let -4*w**2 + 144*w + 148 = 0. Calculate w.
-1, 37
Find o, given that 2*o**5 + 10*o**4 - 51*o**3/2 + 17*o**2 - 7*o/2 = 0.
-7, 0, 1/2, 1
Determine w so that 3*w**4 + 108*w**3 + 1074*w**2 + 1836*w + 867 = 0.
-17, -1
Factor 5*c**4 + 5*c**3 - 40*c**2 - 60*c.
5*c*(c - 3)*(c + 2)**2
Find d such that -d**4 + 2*d**3 + 7*d**2 + 4*d = 0.
-1, 0, 4
Factor 55*v**4 + 375*v**3 - 70*v**2.
5*v**2*(v + 7)*(11*v - 2)
Determine m, given that 2*m**2 + 260*m + 258 = 0.
-129, -1
Suppose -2*n**5 + 14*n**4 - 32*n**3 + 24*n**2 = 0. Calculate n.
0, 2, 3
What is i in -3*i**3 - 888*i**2 + 5409*i - 8154 = 0?
-302, 3
Let 20*l**5 + 1005*l**4 + 2030*l**3 - 6195*l**2 + 2180*l + 960 = 0. What is l?
-48, -4, -1/4, 1
Factor -3*g**4/4 + 3*g**2/4.
-3*g**2*(g - 1)*(g + 1)/4
Factor b**2/3 + 140*b/3 + 588.
(b + 14)*(b + 126)/3
Factor 4*r**4 + 40*r**3 + 44*r**2 - 280*r.
4*r*(r - 2)*(r + 5)*(r + 7)
Factor -m**2/6 + m/6 + 1.
-(m - 3)*(m + 2)/6
What is i in -44*i**3 - 92*i**2 - 8*i = 0?
-2, -1/11, 0
Factor -24*i**2/5 + 892*i/5 + 152.
-4*(i - 38)*(6*i + 5)/5
Factor -2*n**5/13 + 98*n**4/13 + 24*n**3.
-2*n**3*(n - 52)*(n + 3)/13
What is l in l**4 + 13*l**3 + 47*l**2 + 35*l = 0?
-7, -5, -1, 0
Find i, given that -i**5/4 + 77*i**4/4 + 3*i**3/4 - 229*i**2/4 - 77*i/2 = 0.
-1, 0, 2, 77
Factor -2*f**3/3 + 38*f**2/3 + 44*f.
-2*f*(f - 22)*(f + 3)/3
Factor -3*v**2 + 30*v - 27.
-3*(v - 9)*(v - 1)
Factor -3*c**3/5 - 6*c**2/5 + 21*c/5 - 12/5.
-3*(c - 1)**2*(c + 4)/5
Suppose 5*s**4 - 55*s**2 + 90*s - 40 = 0. Calculate s.
-4, 1, 2
Factor -2*g**2/7 - 6*g/7 + 3116/7.
-2*(g - 38)*(g + 41)/7
Suppose 144*g**4 + 860*g**3 + 1120*g**2 - 80*g - 64 = 0. What is g?
-4, -2, -2/9, 1/4
Factor 2*s**3 + 14*s**2 + 8*s - 24.
2*(s - 1)*(s + 2)*(s + 6)
Suppose -2*i**5 + 2*i**4 + 10*i**3 - 2*i**2 - 16*i - 8 = 0. What is i?
-1, 2
Factor 4*n**2 + 28*n - 32.
4*(n - 1)*(n + 8)
Factor -3*l**2 - 450*l/7 - 27.
-3*(l + 21)*(7*l + 3)/7
Let 5*j**3 - 40*j**2 + 60*j = 0. Calculate j.
0, 2, 6
What is w in w**5 + 6*w**4 + 11*w**3 + 2*w**2 - 12*w - 8 = 0?
-2, -1, 1
Factor 4*d**4 - 36*d**3 - 4*d**2 + 36*d.
4*d*(d - 9)*(d - 1)*(d + 1)
Factor -5*m**4 - 155*m**3 + 170*m**2 + 320*m.
-5*m*(m - 2)*(m + 1)*(m + 32)
Let -g**4/7 - 2*g**3 - 32*g**2/7 + 128*g/7 = 0. Calculate g.
-8, 0, 2
Factor -4*j**4 + 1228*j**3.
-4*j**3*(j - 307)
Factor -c**3/5 - 24*c**2/5 - 192*c/5 - 512/5.
-(c + 8)**3/5
Let -j**4 - 20*j**3 - 57*j**2 + 122*j + 160 = 0. What is j?
-16, -5, -1, 2
Suppose -4*x**3 + 248*x**2 - 1316*x - 1568 = 0. Calculate x.
-1, 7, 56
Solve t**4 - 14*t**3 + 53*t**2 - 76*t + 36 = 0 for t.
1, 2, 9
Solve 2*w**5/5 - 158*w**4/5 + 1044*w**3/5 - 2632*w**2/5 + 2896*w/5 - 1152/5 = 0 for w.
1, 2, 72
Solve -3*l**4/7 - 57*l**3/7 - 33*l**2 + 57*l/7 + 234/7 = 0 for l.
-13, -6, -1, 1
Factor -4*z**3/5 + 2*z**2 + 12*z/5 - 18/5.
-2*(z - 3)*(z - 1)*(2*z + 3)/5
Factor -2*o**3/9 - 1622*o**2/9 - 326414*o/9 + 331298/3.
-2*(o - 3)*(o + 407)**2/9
Factor -2*s**2/3 + 356*s - 47526.
-2*(s - 267)**2/3
Determine n, given that 12*n**5 + 39*n**4 - 15*n**3 - 150*n**2 - 132*n - 24 = 0.
-2, -1, -1/4, 2
Solve -2*w**3/3 + 208*w**2/3 + 856*w/3 + 288 = 0.
-2, 108
Factor -s**4/2 - 527*s**3/2 - 46200*s**2 - 2679424*s + 2725888.
-(s - 1)*(s + 176)**3/2
Factor -3*n**3 - 9*n**2 + 30*n + 72.
-3*(n - 3)*(n + 2)*(n + 4)
Solve -2*b**5 + 12*b**4 + 262*b**3 - 552*b**2 + 280*b = 0 for b.
-10, 0, 1, 14
Factor -v**4 + 18*v**3 - 81*v**2.
-v**2*(v - 9)**2
Solve -256*a**5 + 352*a**4 - 105*a**3 + 9*a**2 = 0 for a.
0, 3/16, 1
Find t such that 3*t**4 + 69*t**3 + 531*t**2 + 1635*t + 1650 = 0.
-11, -5, -2
Find r, given that 2*r**4 - 1460*r**3 + 280650*r**2 - 5183000*r + 25205000 = 0.
10, 355
Determine s so that 49*s**3/5 + 2184*s**2/5 + 1236*s/5 + 176/5 = 0.
-44, -2/7
Suppose -3*o**2/8 + 27*o + 219/8 = 0. Calculate o.
-1, 73
Factor s**4/2 + 19*s**3/6 + 31*s**2/6 - s/2 - 3.
(s + 1)*(s + 3)**2*(3*s - 2)/6
Factor -2*f**5/3 + 158*f**4/3 - 2876*f**3/3 - 9596*f**2/3 - 9922*f/3 - 3362/3.
-2*(f - 41)**2*(f + 1)**3/3
Find t such that 65*t**3 - 245*t**2 + 200*t + 60 = 0.
-3/13, 2
Factor -2*b**3/9 - 62*b**2/9 + 4880*b/9 - 56800/9.
-2*(b - 20)**2*(b + 71)/9
Factor -2*k**2/7 + 596*k/7 - 44402/7.
-2*(k - 149