 885*k**2 - 2725*k - 2750.
-5*(k + 2)*(k + 5)**2*(k + 11)
Let 5*m**3 - 40*m**2 - 100*m = 0. Calculate m.
-2, 0, 10
Factor 2*y**2 + 66*y + 64.
2*(y + 1)*(y + 32)
Find q such that -2*q**5 + 10*q**4 + 34*q**3 - 250*q**2 + 368*q - 160 = 0.
-5, 1, 4
Factor 3*f**4/5 + 9*f**3/5 - 18*f**2/5 - 24*f/5.
3*f*(f - 2)*(f + 1)*(f + 4)/5
What is m in -3*m**2/5 + 153*m/5 - 30 = 0?
1, 50
Factor -2*y**3/11 + 54*y**2/11 - 318*y/11 + 266/11.
-2*(y - 19)*(y - 7)*(y - 1)/11
Factor l**2/4 + 71*l/4 + 35/2.
(l + 1)*(l + 70)/4
Find s, given that 16*s**3 + 1492*s**2 - 1132*s - 376 = 0.
-94, -1/4, 1
Factor -2*z**3 - 534*z**2.
-2*z**2*(z + 267)
Determine n, given that -n**4/9 - 11*n**3/3 + 412*n**2/9 + 484*n/3 + 112 = 0.
-42, -2, -1, 12
Solve -5*f**5 + 45*f**4 + 85*f**3 - 765*f**2 - 80*f + 720 = 0.
-4, -1, 1, 4, 9
Solve -w**4/4 + 57*w**3/4 - 81*w**2/2 - w + 54 = 0 for w.
-1, 2, 54
Find q such that -3*q**2 - 1230*q + 6225 = 0.
-415, 5
Factor 2*u**5/13 - 6*u**3/13 + 4*u**2/13.
2*u**2*(u - 1)**2*(u + 2)/13
Determine y, given that 5*y**4 - 10*y**3 - 65*y**2 - 50*y = 0.
-2, -1, 0, 5
Factor -46*a**3/19 - 50*a**2/19 - 4*a/19.
-2*a*(a + 1)*(23*a + 2)/19
Solve -4*x**4 - 280*x**3 - 6624*x**2 - 55016*x - 48668 = 0 for x.
-23, -1
Let -21*y**5 - 48*y**4 + 9*y**3 + 48*y**2 + 12*y = 0. What is y?
-2, -1, -2/7, 0, 1
Find t, given that 4*t**5/9 - 28*t**4/9 - 8*t**3 - 8*t**2/9 + 68*t/9 + 4 = 0.
-1, 1, 9
Determine p, given that 2*p**2 + 1156*p + 167042 = 0.
-289
Factor 5*f**3 + 30*f**2 + 45*f.
5*f*(f + 3)**2
Find x, given that -4*x**2 - 120*x - 644 = 0.
-23, -7
Solve 5*v**3 + 1300*v**2 + 87040*v + 327680 = 0 for v.
-128, -4
Factor -3*r**5/2 - 63*r**4/2 + 33*r**3.
-3*r**3*(r - 1)*(r + 22)/2
Factor 2*l**3/3 + 26*l**2/15 - 4*l/5.
2*l*(l + 3)*(5*l - 2)/15
Factor 2*o**3/3 - 106*o**2/3 + 1456*o/3 - 1352/3.
2*(o - 26)**2*(o - 1)/3
Determine x, given that -12*x**2 - 10984*x + 7328 = 0.
-916, 2/3
Solve -26*k**5/15 - 38*k**4/15 + 202*k**3/5 - 266*k**2/3 + 1124*k/15 - 112/5 = 0.
-84/13, 1, 2
Factor a**2/3 - 9*a - 58/3.
(a - 29)*(a + 2)/3
Factor 5*u**3/4 - 145*u**2/4 + 795*u/4 + 945/4.
5*(u - 21)*(u - 9)*(u + 1)/4
Suppose j**3/5 - 81*j**2/5 - 33*j - 83/5 = 0. Calculate j.
-1, 83
Let 23*u**4/2 - 45*u**3/4 - u**2/4 = 0. Calculate u.
-1/46, 0, 1
Factor z**5/7 + 9*z**4/7 + 2*z**3 - 24*z**2/7.
z**2*(z - 1)*(z + 4)*(z + 6)/7
Factor y**5/4 + 21*y**4/4 + 5*y**3.
y**3*(y + 1)*(y + 20)/4
Solve 2*f**3/11 + 74*f**2/11 + 42*f - 4410/11 = 0.
-21, 5
Find x such that -4*x**4 + 119*x**3 + 282*x**2 + 191*x + 32 = 0.
-1, -1/4, 32
Find k such that 6*k**3 - 52*k**2 - 1048*k + 720 = 0.
-10, 2/3, 18
Factor -3*a**3/5 + 18*a**2 - 756*a/5 + 1176/5.
-3*(a - 14)**2*(a - 2)/5
Factor 5*t**4/3 + 3550*t**3/3 + 622985*t**2/3 - 844900*t + 849660.
5*(t - 2)**2*(t + 357)**2/3
Factor -b**4 + 6*b**3 - 32*b.
-b*(b - 4)**2*(b + 2)
Suppose 16*n**5 + 660*n**4 + 2580*n**3 + 2380*n**2 + 444*n = 0. What is n?
-37, -3, -1, -1/4, 0
Factor 2*k**3/9 - 10*k**2/9 + 14*k/9 - 2/3.
2*(k - 3)*(k - 1)**2/9
Find v such that -v**5/6 - 9*v**4 - 232*v**3/3 - 539*v**2/3 - 325*v/2 - 154/3 = 0.
-44, -7, -1
Factor 3*n**3/2 + 105*n**2/2 - 219*n/2 + 111/2.
3*(n - 1)**2*(n + 37)/2
Solve -2*f**2/5 + 892*f/5 = 0 for f.
0, 446
Factor -5*l**3 - 100*l**2 + 260*l + 880.
-5*(l - 4)*(l + 2)*(l + 22)
Factor -3*p**2 - 9*p + 84.
-3*(p - 4)*(p + 7)
Factor -y**2/3 - 496*y/3 - 61504/3.
-(y + 248)**2/3
What is a in 5*a**3 + 2360*a**2 + 2355*a = 0?
-471, -1, 0
Factor j**2/2 - 1095*j/2 + 547.
(j - 1094)*(j - 1)/2
Factor -a**5/3 + 2*a**4/3 - 2*a**2/3 + a/3.
-a*(a - 1)**3*(a + 1)/3
Solve -j**4/7 + 10*j**3/7 + j**2/7 - 10*j/7 = 0 for j.
-1, 0, 1, 10
Suppose d**3/5 - 26*d**2/5 - 11*d - 28/5 = 0. Calculate d.
-1, 28
Factor 3*w**4/2 + 27*w**3/2 + 45*w**2/2 + 21*w/2.
3*w*(w + 1)**2*(w + 7)/2
Suppose 4*w**2/5 + 3584*w/5 + 802816/5 = 0. Calculate w.
-448
Factor -2*p**2 - 446*p/9 + 100/9.
-2*(p + 25)*(9*p - 2)/9
Solve 3*w**3 + 330*w**2 + 651*w + 324 = 0 for w.
-108, -1
Factor -2*s**3/11 - 30*s**2/11 - 126*s/11 - 162/11.
-2*(s + 3)**2*(s + 9)/11
Factor 5*n**4 + 890*n**3 + 52200*n**2 + 972000*n - 2160000.
5*(n - 2)*(n + 60)**3
Factor y**3 - 10*y**2 - 32*y + 384.
(y - 8)**2*(y + 6)
Factor 3*p**4/4 - 17*p**3/4 + 21*p**2/4 + 9*p/4.
p*(p - 3)**2*(3*p + 1)/4
Factor g**3 - 64*g**2 + 124*g.
g*(g - 62)*(g - 2)
Determine x so that 4*x**2/3 - 76*x/3 - 80/3 = 0.
-1, 20
Determine d, given that -4*d**5/11 - 6*d**4/11 + 2*d**3/11 + 6*d**2/11 + 2*d/11 = 0.
-1, -1/2, 0, 1
Let 2*f**2/3 - 6*f + 40/3 = 0. What is f?
4, 5
Factor -2*i**2/9 - 1774*i/9 + 3556/9.
-2*(i - 2)*(i + 889)/9
Solve -2*h**3/7 - 230*h**2/7 + 946*h/7 - 102 = 0.
-119, 1, 3
Factor -4*b**3 - 68*b**2.
-4*b**2*(b + 17)
Factor 2*u**3 + 208*u**2 + 206*u.
2*u*(u + 1)*(u + 103)
Suppose z**3/3 - 106*z**2/3 - 215*z/3 - 36 = 0. Calculate z.
-1, 108
Find c such that -363*c**5 + 1320*c**4 + 42624*c**3 - 71760*c**2 - 30288*c - 2880 = 0.
-10, -2/11, 2, 12
Solve h**5/7 + 40*h**4/7 + 37*h**3/7 - 78*h**2/7 = 0.
-39, -2, 0, 1
Factor 2*h**2 + 3236*h + 1308962.
2*(h + 809)**2
Solve 12*n**4 - 32*n**3 - 16*n**2 + 64*n = 0.
-4/3, 0, 2
Factor 5*c**3 + 875*c**2 + 5115*c + 7605.
5*(c + 3)**2*(c + 169)
Factor -a**2/7 + 17*a/7 - 6.
-(a - 14)*(a - 3)/7
Factor u**2 - 1170*u + 342225.
(u - 585)**2
Factor y**3/3 + 156*y**2 + 17936*y - 222784/3.
(y - 4)*(y + 236)**2/3
Factor -w**2/4 + 5*w/2 - 9/4.
-(w - 9)*(w - 1)/4
Suppose -v**4/4 + 3*v**3/4 + v**2/4 - 3*v/4 = 0. Calculate v.
-1, 0, 1, 3
Find w such that -125*w**4 + 50*w**3 + 120*w**2 - 50*w + 5 = 0.
-1, 1/5, 1
Solve -4*m**3 - 4*m**2 + 16*m + 16 = 0 for m.
-2, -1, 2
Solve -4*z**2/3 + 100*z/3 + 352 = 0 for z.
-8, 33
What is i in -i**4 + 16*i**3 - 39*i**2 - 4*i + 52 = 0?
-1, 2, 13
Factor 5*l**5 + 30*l**4 - 15*l**3 - 280*l**2 - 240*l.
5*l*(l - 3)*(l + 1)*(l + 4)**2
Factor 5*x**3/4 + 40*x**2 + 95*x/4 - 465.
5*(x - 3)*(x + 4)*(x + 31)/4
Let 2*m**2 + 94*m/3 + 164/3 = 0. What is m?
-41/3, -2
Factor 5*m**4 + 2910*m**3 + 420485*m**2 - 849720*m + 426320.
5*(m - 1)**2*(m + 292)**2
Solve -2*u**4/9 - 178*u**3/9 + 926*u**2/9 - 1310*u/9 + 188/3 = 0 for u.
-94, 1, 3
Solve -5*v**5/4 - 23*v**4/4 - 5*v**3/4 + 51*v**2/4 - 9*v/2 = 0.
-3, 0, 2/5, 1
What is t in 2*t**4/7 - 108*t**3/7 + 1530*t**2/7 - 392*t + 1320/7 = 0?
1, 22, 30
Find j, given that -5*j**3/4 + 33*j**2/4 + 7*j/2 = 0.
-2/5, 0, 7
Factor r**2 + 166*r.
r*(r + 166)
Factor -4*y**2/5 + 28*y/5 - 49/5.
-(2*y - 7)**2/5
Solve 2*g**3/7 + 18*g**2/7 + 16*g/7 = 0.
-8, -1, 0
Factor 2*f**3 - 66*f**2 + 510*f + 578.
2*(f - 17)**2*(f + 1)
Factor 3*n**3 + 1116*n**2 - 3369*n + 2250.
3*(n - 2)*(n - 1)*(n + 375)
Solve -2*m**3 + 34*m**2 - 168*m + 216 = 0.
2, 6, 9
Let 4*p**2/5 + 16*p + 80 = 0. What is p?
-10
Factor -2*h**2 + 10180*h - 12954050.
-2*(h - 2545)**2
Factor -q**4/5 - 3*q**3 - 37*q**2/5 + 123*q/5 - 14.
-(q - 1)**2*(q + 7)*(q + 10)/5
Solve 3*f**4 + 198*f**3 + 3267*f**2 = 0 for f.
-33, 0
Suppose 2*a**3 - 38*a**2 + 70*a - 34 = 0. What is a?
1, 17
Solve -4*h**3/5 - 396*h**2/5 - 2252*h/5 - 372 = 0.
-93, -5, -1
Find r, given that 4*r**5 + 52*r**4 - 28*r**3 - 340*r**2 + 312*r = 0.
-13, -3, 0, 1, 2
Factor -2*s**2/15 + 80*s/3.
-2*s*(s - 200)/15
Factor -3*l**3 - 45*l**2 + 3*l + 45.
-3*(l - 1)*(l + 1)*(l + 15)
Determine i, given that -3*i**5/4 + 6*i**4 - 39*i**3/4 - 33*i**2/2 + 24*i + 24 = 0.
-1, 2, 4
Factor -2*m**2/3 - 70*m/3 + 400/3.
-2*(m - 5)*(m + 40)/3
Factor 4*p**4/3 - 20*p**3/3 - 103*p**2/3 + 770*p/3 - 392.
(p - 4)*(p + 6)*(2*p - 7)**2/3
Find l, given that 28*l**3 - 500*l**2 + 2196*l + 324 = 0.
-1/7, 9
What is z in 3*z**3/2 - 5103*z**2 + 5786802*z - 2187411156 = 0?
1134
Let -b**3/4 + 205*b**2/4 + 426*b = 0. Calculate b.
-8, 0, 213
Factor -4*x**5 + 57*x**4 - 158*x**3 + 172*x**2 - 78*x + 11.
-(x - 11)*(x - 1)**3*(4*x - 1)
Suppose 2*b**5/17 - 422*b**4/17 - 1278*b**3/17 - 1282*b**2/17 - 428*b/17 = 0. What is b?
-1, 0, 214
What is b in -b**2/5 - 204*b/5 - 10404/5 = 0?
-102
Factor -3*w**2 - 177*w - 174.
-3*(w + 1)*(w + 58)
Solve -t**2 + 690*t - 119025 = 0 for t.
345
Let -2*c**5/11 - 10*c**4/11 - 10*c**3/11 + 10*c**2/11 + 12*c/11 = 0. Calculate c.
-3, -2, -1, 0, 1
Factor -4*k**2 + 2432*k - 369664.
-4*(k - 304)**2
Factor -5*t**3 + 2805*t**2 - 391995*t - 394805.
-5*(t - 281)**2*(t + 1)
Factor -n**2/4 + 9*n/2 + 10.
-(n - 20)*(n + 2)/4
What is g in -g**2 - 185*g = 0?
-185, 0
Let -2*m**5 + 8*m**4 + 230*m**3 + 700*m