y.
-106, 0
Let -14*j**5/3 - 46*j**4/3 + 310*j**3/3 - 370*j**2/3 + 64*j/3 + 56/3 = 0. Calculate j.
-7, -2/7, 1, 2
What is n in 5*n**3 - 20*n**2 + 15*n = 0?
0, 1, 3
Let 2*y**4 - 55*y**3/3 + 43*y**2 - 92*y/3 + 4 = 0. What is y?
1/6, 1, 2, 6
Solve -2*o**2/3 + 316*o/3 = 0 for o.
0, 158
Factor m**2 - 111*m - 226.
(m - 113)*(m + 2)
Factor u**2/2 - 2698*u + 3639602.
(u - 2698)**2/2
Determine b, given that -2*b**2/11 - 32*b/11 - 30/11 = 0.
-15, -1
Find d such that 5*d**3 + 2310*d**2 - 20*d - 9240 = 0.
-462, -2, 2
Suppose 7*i**5/2 - 591*i**4/4 + 2707*i**3/4 - 179*i**2/4 - 1581*i/4 - 185/2 = 0. Calculate i.
-1/2, -2/7, 1, 5, 37
Solve -4*c**5/3 + 902*c**4/3 - 49712*c**3/3 - 128138*c**2/3 - 34504*c - 8664 = 0 for c.
-1, -1/2, 114
Suppose -x**2/7 + 10*x/7 - 24/7 = 0. What is x?
4, 6
Let 5*v**5/2 + 47*v**4/2 + 59*v**3 + 20*v**2 = 0. Calculate v.
-5, -4, -2/5, 0
Let 2*g**5/5 + 58*g**4/5 - 14*g**3 - 306*g**2/5 - 36*g = 0. Calculate g.
-30, -1, 0, 3
Find c such that -6*c**3/7 - 51*c**2/7 - 66*c/7 - 3 = 0.
-7, -1, -1/2
Determine l, given that 2*l**3 + 56*l**2 + 50*l - 108 = 0.
-27, -2, 1
Factor -4*s**3/3 - 40*s**2 + 124*s/3.
-4*s*(s - 1)*(s + 31)/3
Solve -4*k**3/7 - 984*k**2/7 - 1956*k/7 - 976/7 = 0 for k.
-244, -1
Find y, given that y**2 + 25*y - 54 = 0.
-27, 2
Solve 56*w**3 - 44*w**2 - 124*w - 24 = 0.
-1, -3/14, 2
Determine l, given that 9*l**3/5 + 69*l**2/5 + 84*l/5 - 36/5 = 0.
-6, -2, 1/3
Let -135*r**5 - 270*r**4 + 225*r**3 + 580*r**2 - 80*r - 320 = 0. Calculate r.
-4/3, 1
Factor y**3 - 203*y**2/4 + 149*y/4 + 25/2.
(y - 50)*(y - 1)*(4*y + 1)/4
Factor -l**4 - 141*l**3 - 414*l**2.
-l**2*(l + 3)*(l + 138)
Suppose -5*a**3 - 115*a**2 - 730*a - 1040 = 0. Calculate a.
-13, -8, -2
Find n such that -3*n**4/5 + 1176*n**3/5 + 7128*n**2/5 + 14304*n/5 + 9552/5 = 0.
-2, 398
Let -3*d**4 - 12*d**3 - 18*d**2 - 12*d - 3 = 0. Calculate d.
-1
Solve -5*t**4 + 45*t**3 - 20*t**2 - 180*t + 160 = 0 for t.
-2, 1, 2, 8
Solve -4*v**4/5 - 464*v**3/5 + 188*v**2 - 472*v/5 = 0 for v.
-118, 0, 1
Determine j so that 4*j**3 + 484*j**2 - 996*j - 1476 = 0.
-123, -1, 3
Factor 5*h**5 + 9940*h**4 + 39710*h**3 + 59540*h**2 + 39685*h + 9920.
5*(h + 1)**4*(h + 1984)
Factor -a**2/7 + 2252*a/7 - 2251/7.
-(a - 2251)*(a - 1)/7
Factor 4*p**3 - 28*p + 24.
4*(p - 2)*(p - 1)*(p + 3)
Factor -2*u**2 + 348*u.
-2*u*(u - 174)
Suppose -7*a**4 + 103*a**3 + 849*a**2 + 1557*a + 378 = 0. What is a?
-3, -2/7, 21
Factor 5*u**4 - 200*u**3 + 1995*u**2 + 200*u - 2000.
5*(u - 20)**2*(u - 1)*(u + 1)
Suppose -2*z**3/3 + 100*z**2/3 - 614*z/3 + 172 = 0. What is z?
1, 6, 43
Let -9*z**5 - 318*z**4 - 406*z**3 + 72*z**2 + 135*z - 34 = 0. What is z?
-34, -1, 1/3
Determine h, given that 2*h**5/5 - 14*h**4/5 - 34*h**3/5 - 18*h**2/5 = 0.
-1, 0, 9
Suppose -9*s**3 + 249*s**2 - 1239*s - 441 = 0. What is s?
-1/3, 7, 21
Suppose 49*j**2/4 - 91*j + 169 = 0. Calculate j.
26/7
Factor 2*y**5 - 20*y**4 - 48*y**3 - 4*y**2 + 46*y + 24.
2*(y - 12)*(y - 1)*(y + 1)**3
Factor 5*s**2 + 130*s - 3360.
5*(s - 16)*(s + 42)
Let -2*d**2/11 - 46*d/11 - 120/11 = 0. Calculate d.
-20, -3
Factor 2*i**5/9 - 2*i**4/3 + 2*i**3/3 - 2*i**2/9.
2*i**2*(i - 1)**3/9
Factor -5*j**2 + 6520*j - 2125520.
-5*(j - 652)**2
Find m such that -8*m**5 + 146*m**4 - 900*m**3 + 2120*m**2 - 1652*m + 294 = 0.
1/4, 1, 3, 7
Factor 2*v**4 + 7*v**3/4 - 9*v**2/4 - 7*v/4 + 1/4.
(v - 1)*(v + 1)**2*(8*v - 1)/4
Factor -2*q**4/5 - 2*q**3/5 + 12*q**2.
-2*q**2*(q - 5)*(q + 6)/5
Solve 3*j**4 - 120*j**3 + 1074*j**2 + 2520*j + 1323 = 0 for j.
-1, 21
Factor 4*t**5/7 + 40*t**4/7 + 68*t**3/7 + 32*t**2/7.
4*t**2*(t + 1)**2*(t + 8)/7
Factor 2*p**3/9 + 376*p**2/3 + 17672*p.
2*p*(p + 282)**2/9
Factor 3*k**5 - 24*k**4 - 90*k**3 - 96*k**2 - 33*k.
3*k*(k - 11)*(k + 1)**3
Determine l so that 6*l**3 + 37*l**2 + 32*l - 15 = 0.
-5, -3/2, 1/3
Factor 5*j**3 + 20*j**2 - 25*j.
5*j*(j - 1)*(j + 5)
Factor 5*o**2 - 100*o + 255.
5*(o - 17)*(o - 3)
Factor l**4 - 9*l**2 - 4*l + 12.
(l - 3)*(l - 1)*(l + 2)**2
Solve 20*i**5 + 55*i**4 - 135*i**3 - 130*i**2 + 40*i = 0.
-4, -1, 0, 1/4, 2
Factor 5*y**2 - 215*y - 450.
5*(y - 45)*(y + 2)
Factor -9*x**3/7 + 11721*x**2/7 - 545445*x + 181629.
-3*(x - 651)**2*(3*x - 1)/7
Factor 14*a**4 - 38*a**3 + 30*a**2 - 2*a - 4.
2*(a - 1)**3*(7*a + 2)
Find j, given that 22*j**5/5 + 106*j**4/5 - 196*j**3/5 - 1024*j**2/5 + 192*j/5 = 0.
-4, 0, 2/11, 3
Find o, given that -o**3/6 - o**2/2 + 15*o/2 + 175/6 = 0.
-5, 7
Let a**5/5 - 3*a**4/5 - a**3 + 3*a**2 + 4*a/5 - 12/5 = 0. What is a?
-2, -1, 1, 2, 3
Factor 2*x**3 + 15*x**2 - 26*x + 9.
(x - 1)*(x + 9)*(2*x - 1)
Find f, given that -24*f**4/19 + 22*f**3/19 + 180*f**2/19 - 286*f/19 + 60/19 = 0.
-3, 1/4, 5/3, 2
Suppose 2*s**5 + 186*s**4 + 3632*s**3 - 31824*s**2 + 77600*s - 60000 = 0. What is s?
-50, 2, 3
Solve 3*x**2/2 - 39*x + 252 = 0 for x.
12, 14
What is w in -16*w**5 + 156*w**4 - 536*w**3 + 720*w**2 - 216*w - 108 = 0?
-1/4, 1, 3
Factor -s**3 + 373*s**2 - 370*s - 744.
-(s - 372)*(s - 2)*(s + 1)
What is q in 2*q**5 + 52*q**4 - 2*q**3 - 52*q**2 = 0?
-26, -1, 0, 1
Factor -2*w**2 - 308*w + 624.
-2*(w - 2)*(w + 156)
Factor -t**2/3 + 68*t/3 - 44.
-(t - 66)*(t - 2)/3
Suppose 51*q**2/5 - 96*q/5 - 12/5 = 0. What is q?
-2/17, 2
Factor 2*p**3/7 + 2986*p**2/7 + 1116016*p/7 + 1113032/7.
2*(p + 1)*(p + 746)**2/7
Determine b so that -b**2/5 + 12*b - 116/5 = 0.
2, 58
Factor -q**2 - 11*q - 24.
-(q + 3)*(q + 8)
Factor 4*a**5/7 - 128*a**4/7 - 131*a**3/7 - 33*a**2/7.
a**2*(a - 33)*(2*a + 1)**2/7
Let -y**5/8 - 3*y**4/4 - 11*y**3/8 - y**2/4 + 3*y/2 + 1 = 0. What is y?
-2, -1, 1
Factor -6*u**2 - 585*u - 4779.
-3*(u + 9)*(2*u + 177)
Factor -5*i**2 - 50*i + 55.
-5*(i - 1)*(i + 11)
Let -w**3/3 + 20*w**2/3 + 7*w = 0. Calculate w.
-1, 0, 21
Find m such that 5*m**4 + 420*m**3 - 2640*m**2 + 5360*m - 3600 = 0.
-90, 2
What is g in -2*g**5/7 - 4*g**4/7 + 24*g**3/7 + 4*g**2 - 22*g/7 - 24/7 = 0?
-4, -1, 1, 3
Factor -3*v**3 - 12*v**2 + 3*v + 12.
-3*(v - 1)*(v + 1)*(v + 4)
Factor 2*m**3 - 124*m**2 + 1922*m.
2*m*(m - 31)**2
Determine v so that -5*v**3 - 330*v**2 - 7125*v - 50540 = 0.
-28, -19
Factor 3*x**3 + 603*x**2 + 30600*x + 30000.
3*(x + 1)*(x + 100)**2
Solve -3*i**3/8 - 18*i**2 - 69*i/2 = 0.
-46, -2, 0
What is f in 6*f**5/7 + 2640*f**4/7 - 2652*f**3/7 - 2640*f**2/7 + 378*f = 0?
-441, -1, 0, 1
Find m, given that 4*m**2 + 388*m + 2520 = 0.
-90, -7
Suppose 5*n**3 + 390*n**2 + 7605*n = 0. What is n?
-39, 0
Suppose 27*q**2 + 111*q + 84 = 0. Calculate q.
-28/9, -1
Suppose 3*z**2 - 5298*z + 2339067 = 0. What is z?
883
Factor -2*x**5/23 - 734*x**4/23 - 66236*x**3/23 + 203132*x**2/23 - 204610*x/23 + 68450/23.
-2*(x - 1)**3*(x + 185)**2/23
Factor -2*z**3/9 - 4*z**2/9 + 14*z/9 - 8/9.
-2*(z - 1)**2*(z + 4)/9
Factor 289*x**3 - 40528*x**2 + 9524*x - 560.
(x - 140)*(17*x - 2)**2
Solve 4*v**2/7 - 2536*v/7 + 401956/7 = 0 for v.
317
Solve -j**3/6 - 349*j**2 - 243602*j - 170034196/3 = 0.
-698
Factor -3*r**2/7 - 24*r/7 + 27/7.
-3*(r - 1)*(r + 9)/7
Factor 2*n**2 + 482*n - 484.
2*(n - 1)*(n + 242)
Factor a**3/3 - 1166*a**2/3 + 339889*a/3.
a*(a - 583)**2/3
Factor 68*f**2/11 - 138*f/11 + 4/11.
2*(f - 2)*(34*f - 1)/11
Suppose 3*y**3 - 93*y**2 + 957*y - 3267 = 0. Calculate y.
9, 11
Solve -2*o**5/15 + 2*o**4/3 - 4*o**3/15 - 16*o**2/15 = 0 for o.
-1, 0, 2, 4
Determine a, given that -a**2/3 - 74*a/3 - 1369/3 = 0.
-37
Let p**3/7 + 59*p**2/7 - 248*p/7 + 36 = 0. What is p?
-63, 2
Find s such that -4*s**4/7 + 12*s**3 - 60*s**2/7 - 388*s/7 - 240/7 = 0.
-1, 3, 20
What is h in 16*h**4 + 92*h**3 + 168*h**2 + 80*h - 32 = 0?
-2, 1/4
Factor -q**2/2 + 947*q - 896809/2.
-(q - 947)**2/2
Let 28*c**5 - 120*c**4 - 52*c**3 + 416*c**2 - 336*c + 64 = 0. What is c?
-2, 2/7, 1, 4
Find q such that -4*q**4/5 + 28*q**3/5 = 0.
0, 7
Find v such that 3*v**2 - 18*v - 1173 = 0.
-17, 23
Factor -2*w**3/15 + 182*w**2/5 - 16562*w/5 + 1507142/15.
-2*(w - 91)**3/15
What is f in -f**5/6 + 2*f**4 - 11*f**3/6 - 46*f**2/3 + 2*f + 40/3 = 0?
-2, -1, 1, 4, 10
Determine k, given that 2*k**3/15 - 16*k**2/15 + 14*k/15 = 0.
0, 1, 7
Factor -k**4/6 - 13*k**3 - 1669*k**2/6 - 962*k - 2738/3.
-(k + 2)**2*(k + 37)**2/6
Factor 2*r**3/7 + 22*r**2/7.
2*r**2*(r + 11)/7
Solve -16*w**5 - 468*w**4 - 980*w**3 - 216*w**2 = 0 for w.
-27, -2, -1/4, 0
Factor 5*v**5 + 10*v**4 - 5*v**3 - 10*v**2.
5*v**2*(v - 1)*(v + 1)*(v + 2)
Factor 5*m**3 - 10*m**2 - 720*m + 1440.
5*(m - 12)*(