*i + 560/3 = 0.
-1, 280
Determine y, given that -y**2 + 28*y = 0.
0, 28
Factor 5*k**2 + 10070*k + 5070245.
5*(k + 1007)**2
Solve -4*c**5 + 216*c**4 + 676*c**3 + 456*c**2 = 0 for c.
-2, -1, 0, 57
Factor -k**3/2 + 16*k**2 + 33*k/2.
-k*(k - 33)*(k + 1)/2
Suppose -3*b**4/2 + 60*b**3 - 819*b**2/2 + 831*b - 480 = 0. What is b?
1, 2, 5, 32
What is a in a**3/6 - 79*a**2/2 + 4641*a/2 + 14161/6 = 0?
-1, 119
Factor -4*d**3 - 1036*d**2 - 6092*d - 5060.
-4*(d + 1)*(d + 5)*(d + 253)
Suppose u**3/2 + u**2/2 - 20*u - 56 = 0. Calculate u.
-4, 7
Solve -h**2/4 - 628*h - 394384 = 0 for h.
-1256
Let 3*l**3/8 - 27*l**2/2 = 0. What is l?
0, 36
What is h in 3*h**2/4 + 117*h/4 = 0?
-39, 0
Factor -2*u**5/5 + 3028*u**4/5 - 3026*u**3/5.
-2*u**3*(u - 1513)*(u - 1)/5
Let 2*h**3/15 + 44*h**2/15 + 14*h/5 = 0. Calculate h.
-21, -1, 0
Determine q, given that q**2/3 + q - 6 = 0.
-6, 3
Factor w**4/4 - 5*w**3 + 99*w**2/4 + 5*w - 25.
(w - 10)**2*(w - 1)*(w + 1)/4
Suppose 10*o**4 - 38*o**3 + 42*o**2 - 10*o - 4 = 0. What is o?
-1/5, 1, 2
Solve -4*j**5 - 324*j**4 + 10692*j**3 - 102060*j**2 + 314928*j = 0.
-108, 0, 9
Factor -p**3 + 43*p**2 + 138*p.
-p*(p - 46)*(p + 3)
Factor 2*w**4 + 8*w**3/3 - 2*w**2/3 - 4*w/3.
2*w*(w + 1)**2*(3*w - 2)/3
Factor -2*w**5/9 - 2788*w**4/9 - 974402*w**3/9 - 646816*w**2/3 - 107648*w.
-2*w*(w + 1)**2*(w + 696)**2/9
Factor 2*j**3/9 + 32*j**2/9 + 58*j/9 + 28/9.
2*(j + 1)**2*(j + 14)/9
Factor -2*l**3/5 + 134*l**2/15 + 92*l/15.
-2*l*(l - 23)*(3*l + 2)/15
What is i in 12*i**4 + 88*i**3 + 84*i**2 - 88*i - 96 = 0?
-6, -4/3, -1, 1
Find w, given that 2*w**2/3 - 68*w/3 + 22 = 0.
1, 33
Factor -a**2 + 122*a + 635.
-(a - 127)*(a + 5)
Find w such that -4*w**4 + 84*w**3 - 612*w**2 + 1708*w - 1176 = 0.
1, 6, 7
Solve k**2/8 + 213*k = 0 for k.
-1704, 0
Determine m, given that 14*m**5/3 - 172*m**4/3 + 412*m**3/3 + 64*m**2/3 - 142*m + 36 = 0.
-1, 2/7, 1, 3, 9
Find h, given that -2*h**2/3 - 1412*h/3 - 249218/3 = 0.
-353
Find l, given that -5*l**5 + 135*l**3 + 250*l**2 + 120*l = 0.
-4, -1, 0, 6
Factor -2*v**3 - 18*v**2 + 44*v.
-2*v*(v - 2)*(v + 11)
Factor -5*m**4 + 25*m**3 - 30*m**2 - 20*m + 40.
-5*(m - 2)**3*(m + 1)
Let -33*y**3/5 + 138*y**2/5 + 372*y/5 - 72/5 = 0. What is y?
-2, 2/11, 6
Suppose u**4/2 + 1566*u**3 + 1226178*u**2 = 0. Calculate u.
-1566, 0
Solve -3*q**5 + 42*q**4 - 171*q**3 + 216*q**2 = 0.
0, 3, 8
Determine f, given that 3*f**3 - 5*f**2 - 2*f = 0.
-1/3, 0, 2
Factor i**2/7 + 12*i/7 + 36/7.
(i + 6)**2/7
Factor -2*r**2/5 - 308*r/5 + 1264/5.
-2*(r - 4)*(r + 158)/5
Factor -3*i**4/7 + 741*i**3/7 - 34182*i**2/7 + 580284*i/7 - 3376728/7.
-3*(i - 193)*(i - 18)**3/7
Factor 18*m**3/5 + 2964*m**2/5 + 1968*m/5.
6*m*(m + 164)*(3*m + 2)/5
Find c, given that 5*c**2 - 130*c - 135 = 0.
-1, 27
Let 2*y**2/7 - 26*y - 184/7 = 0. Calculate y.
-1, 92
Suppose 2*a**2/7 + 2*a - 16/7 = 0. What is a?
-8, 1
Solve -2*l**4 + 282*l**3 - 280*l**2 = 0.
0, 1, 140
Factor 2*d**4 - 50*d**3 + 178*d**2 - 214*d + 84.
2*(d - 21)*(d - 2)*(d - 1)**2
Factor 3*j**2 - 382*j + 127.
(j - 127)*(3*j - 1)
Suppose -3*j**3/7 + 1539*j**2/7 - 263169*j/7 + 15000633/7 = 0. Calculate j.
171
Factor -u**5/2 - 7*u**4/6 - 5*u**3/6 - u**2/6.
-u**2*(u + 1)**2*(3*u + 1)/6
Solve -3*d**3/4 - 57*d**2 - 4551*d/4 - 4107/2 = 0.
-37, -2
Let 2*n**4/11 + 40*n**3/11 + 192*n**2/11 + 32*n + 224/11 = 0. Calculate n.
-14, -2
Suppose -2*g**2/5 - 78*g/5 - 148/5 = 0. Calculate g.
-37, -2
Solve f**3/3 - 38*f**2/3 + 73*f/3 - 12 = 0.
1, 36
Factor -4*q**3 + 120*q**2 - 228*q + 112.
-4*(q - 28)*(q - 1)**2
Determine n so that -4*n**4/5 - 8*n**3/5 + 172*n**2/5 + 32*n/5 - 1344/5 = 0.
-7, -3, 4
Determine f so that 22*f**4/5 + 14*f**3 - 2*f**2 - 14*f - 12/5 = 0.
-3, -1, -2/11, 1
What is n in -n**2 - 364*n - 33124 = 0?
-182
Let -3*l**2 - 2148*l = 0. Calculate l.
-716, 0
Factor -5*j**3 + 6150*j**2 - 1891125*j.
-5*j*(j - 615)**2
Let 2*t**5/9 + 4*t**4/9 - 32*t**3/9 - 4*t**2/9 + 10*t/3 = 0. What is t?
-5, -1, 0, 1, 3
Factor 3*x**4 - 30*x**3 - 900*x**2 - 5250*x - 9375.
3*(x - 25)*(x + 5)**3
Factor 4*g**5 - 868*g**4 + 852*g**3 + 2612*g**2 - 4328*g + 1728.
4*(g - 216)*(g - 1)**3*(g + 2)
Factor v**2/4 + v/2.
v*(v + 2)/4
Factor 5*g**3 + 100*g**2 + 240*g - 2880.
5*(g - 4)*(g + 12)**2
Find c, given that -3*c**4/5 - 21*c**3/5 - 42*c**2/5 - 24*c/5 = 0.
-4, -2, -1, 0
Factor 64*q**2/17 + 834*q/17 + 26/17.
2*(q + 13)*(32*q + 1)/17
Factor -5*u**4 + 85*u**3 + 300*u**2 + 20*u - 400.
-5*(u - 20)*(u - 1)*(u + 2)**2
Factor -5*v**4 + 505*v**3 - 13425*v**2 + 31115*v + 120050.
-5*(v - 49)**2*(v - 5)*(v + 2)
Find g, given that 8*g**5 - 74*g**4 + 258*g**3 - 412*g**2 + 280*g - 48 = 0.
1/4, 2, 3
Determine t so that -3*t**4 - 120*t**3 - 1314*t**2 - 2280*t - 1083 = 0.
-19, -1
Factor -2*l**5/9 - 26*l**4/3 - 120*l**3 - 672*l**2 - 1152*l.
-2*l*(l + 3)*(l + 12)**3/9
Find h, given that h**3/6 + 35*h**2/3 + 494*h/3 - 1444 = 0.
-38, 6
Factor 2*y**4/5 + 64*y**3/5 + 122*y**2/5 + 12*y.
2*y*(y + 1)**2*(y + 30)/5
Factor 3*r**4/8 - 33*r**3/4 + 423*r**2/8 - 165*r/2 + 75/2.
3*(r - 10)**2*(r - 1)**2/8
Let -2*c**3 - 56*c**2 + 62*c + 116 = 0. What is c?
-29, -1, 2
Factor 4*h**4 - 4*h**3 - 60*h**2 + 36*h + 216.
4*(h - 3)**2*(h + 2)*(h + 3)
Factor -a**3/2 - 4*a**2 - 15*a/2.
-a*(a + 3)*(a + 5)/2
Suppose f**4/3 + 10*f**3/3 + 5*f**2/3 - 40*f/3 - 12 = 0. Calculate f.
-9, -2, -1, 2
Determine a so that -2*a**2 - 636*a/5 + 256/5 = 0.
-64, 2/5
Find q, given that q**2 - 688*q + 118336 = 0.
344
Factor 3*x**3 + 48*x**2 - 51*x.
3*x*(x - 1)*(x + 17)
Factor -2*l**4 + 4288*l**3 - 2306928*l**2 + 9176320*l - 9159200.
-2*(l - 1070)**2*(l - 2)**2
Solve 34*j**3/7 + 32*j**2/7 - 38*j/7 - 36/7 = 0 for j.
-1, 18/17
Suppose 595*y**3 + 5955*y**2 + 50*y = 0. What is y?
-10, -1/119, 0
Let -4*q**4/9 + 8*q**3/9 + 4*q**2/3 - 32*q/9 + 16/9 = 0. Calculate q.
-2, 1, 2
Find o, given that -3*o**4/4 - 135*o**3/4 - 387*o**2/2 + 228*o = 0.
-38, -8, 0, 1
Determine z, given that -85*z**3 - 2560*z**2 - 7185*z - 810 = 0.
-27, -3, -2/17
Solve -162*b**5/17 - 414*b**4/17 - 116*b**3/17 + 120*b**2/17 - 16*b/17 = 0.
-2, -1, 0, 2/9
Factor 3*i**2 - 123*i.
3*i*(i - 41)
Let 4*f**4 - 12*f**2 - 8*f = 0. Calculate f.
-1, 0, 2
Factor n**2 + 23*n + 60.
(n + 3)*(n + 20)
What is w in 44*w**4/5 + 56*w**3/5 - 32*w**2/5 - 56*w/5 - 12/5 = 0?
-1, -3/11, 1
Factor -3*h**2/2 + 42*h + 90.
-3*(h - 30)*(h + 2)/2
Factor 2*l**3/9 - 68*l**2/3 + 202*l/9.
2*l*(l - 101)*(l - 1)/9
Let 3*y**4 + 15*y**3 - 282*y**2 - 1248*y + 3456 = 0. What is y?
-8, 2, 9
Suppose -4*l**5 - 24*l**4 + 136*l**3 - 224*l**2 + 156*l - 40 = 0. What is l?
-10, 1
Solve 3*i**3 - 636*i**2 - 1929*i - 1290 = 0.
-2, -1, 215
Let -f**4/3 + 2*f**3 - 13*f**2/3 + 4*f - 4/3 = 0. What is f?
1, 2
Factor 119164*r**3 - 23064*r**2 + 1488*r - 32.
4*(31*r - 2)**3
Suppose -5*n**4 + 5*n**3 + 30*n**2 = 0. Calculate n.
-2, 0, 3
What is l in -3*l**2/8 - 3021*l/8 + 378 = 0?
-1008, 1
Factor -2*f**4/7 + 22*f**3/7.
-2*f**3*(f - 11)/7
Solve -2*s**2/9 + 14*s - 40 = 0.
3, 60
Determine o so that 27*o**2 + 273*o - 300 = 0.
-100/9, 1
What is n in 2*n**2 - 13*n/3 + 7/3 = 0?
1, 7/6
Let 2*i**5 - 118*i**4 - 366*i**3 - 370*i**2 - 124*i = 0. Calculate i.
-1, 0, 62
Factor 18*g**3/11 + 4*g**2/11.
2*g**2*(9*g + 2)/11
Factor -2*q**2/9 + 496*q/9.
-2*q*(q - 248)/9
Factor -2*y**2/19 + 1770*y/19 + 7112/19.
-2*(y - 889)*(y + 4)/19
Solve -3*s**2 + 144*s - 1140 = 0.
10, 38
What is q in 10*q**4 - 215*q**3 + 1055*q**2 - 1225*q + 375 = 0?
1/2, 1, 5, 15
Let -2*s**3 + 12*s**2 + 32*s = 0. Calculate s.
-2, 0, 8
Factor -28*d**3 - 148*d**2 - 152*d - 32.
-4*(d + 1)*(d + 4)*(7*d + 2)
Factor -h**3/2 - 32*h**2 + 134*h - 136.
-(h - 2)**2*(h + 68)/2
Factor 2*o**5 + 16*o**4 + 8*o**3 - 160*o**2 - 128*o + 512.
2*(o - 2)**2*(o + 4)**3
Factor -5*l**2 - 90*l.
-5*l*(l + 18)
Factor -4*a**4/3 - 16*a**3 - 60*a**2 - 200*a/3.
-4*a*(a + 2)*(a + 5)**2/3
Suppose 2*v**3/11 - 450*v**2/11 + 26814*v/11 - 166334/11 = 0. What is v?
7, 109
Factor -t**4/2 + 4*t**3 + 9*t**2/2.
-t**2*(t - 9)*(t + 1)/2
What is n in 2*n**5/5 + 16*n**4/5 - 46*n**3/5 - 44*n**2/5 + 152*n/5 - 16 = 0?
-10, -2, 1, 2
Factor 6*h**4 - 27*h**3.
3*h**3*(2*h - 9)
Find c, given that -4*c**2 + 100*c = 0.
0, 25
Find i such that i**5/2 - 65*i**4 - 263*i**3/2 - 66*i**2 = 0.
-1, 0, 132
Find b, given that 5*b**3 + 500*b**2 + 11440*b - 54080 = 0.
-52, 4
Solve 15*a**5 + 438*a**4 + 2517*a**3 - 10074*a**2 + 5568*a + 1536 = 0.
-16, -1/5