88*y**4 - 108*y**3 - 352*y**2 + 368*y = 0.
-23, -2, 0, 1, 2
Factor -5*p**4 - 340*p**3 + 495*p**2 + 10350*p.
-5*p*(p - 6)*(p + 5)*(p + 69)
Factor u**4/10 - 17*u**3/10 + 4*u**2 + 30*u.
u*(u - 10)**2*(u + 3)/10
Factor c**2/2 - 18*c + 64.
(c - 32)*(c - 4)/2
Determine a, given that a**5/2 - 29*a**4/2 + 125*a**3 - 293*a**2 + 533*a/2 - 169/2 = 0.
1, 13
Find n such that 3*n**4/7 + 36*n**3/7 - 3*n**2/7 - 36*n/7 = 0.
-12, -1, 0, 1
Factor 2*q**2/3 + 128*q/3 + 122.
2*(q + 3)*(q + 61)/3
Factor 14*j**2/3 + 754*j/9 - 4.
2*(j + 18)*(21*j - 1)/9
Solve -f**5 + 2*f**4 + 7*f**3 - 20*f**2 + 12*f = 0 for f.
-3, 0, 1, 2
Factor -n**2/3 + 24*n + 148/3.
-(n - 74)*(n + 2)/3
Let 2*y**2/3 - 26*y = 0. Calculate y.
0, 39
Find z such that z**2/3 + 2780*z/3 + 2779/3 = 0.
-2779, -1
Factor 5*r**3/2 - 35*r**2 - 75*r/2.
5*r*(r - 15)*(r + 1)/2
Factor 2*k**3/7 - 76*k**2/7 - 32*k/7 + 1216/7.
2*(k - 38)*(k - 4)*(k + 4)/7
Factor 4*t**3/7 - 12*t/7 + 8/7.
4*(t - 1)**2*(t + 2)/7
Factor m**2/4 - 7*m/4.
m*(m - 7)/4
Solve c**2 + 107*c + 106 = 0.
-106, -1
Determine n so that -n**3/6 - 11*n**2/6 - 14*n/3 = 0.
-7, -4, 0
Factor -p**4 - 3*p**3 + 18*p**2 + 32*p - 96.
-(p - 3)*(p - 2)*(p + 4)**2
Let -2*c**5/23 + 52*c**4/23 - 218*c**3/23 + 168*c**2/23 = 0. Calculate c.
0, 1, 4, 21
Determine k, given that 5*k**3 - 5*k**2 - 25*k - 15 = 0.
-1, 3
Factor 2*n**2/21 - 200*n/7 - 606/7.
2*(n - 303)*(n + 3)/21
Determine p, given that -2*p**2/13 + 58*p/13 + 420/13 = 0.
-6, 35
Solve -4*d**3/7 - 804*d**2/7 + 3264*d/7 - 3280/7 = 0 for d.
-205, 2
Factor -45*f**3 - 6*f**2 + 45*f + 6.
-3*(f - 1)*(f + 1)*(15*f + 2)
Solve -c**5/8 + 5*c**4/4 - 33*c**3/8 + 5*c**2 - 2*c = 0.
0, 1, 4
Factor -2*b**4 + 232*b**3 - 904*b**2 + 896*b.
-2*b*(b - 112)*(b - 2)**2
Suppose -44*p**4 - 204*p**3 - 216*p**2 + 176*p + 288 = 0. What is p?
-2, -18/11, 1
Factor -s**2 - 148*s - 987.
-(s + 7)*(s + 141)
Find p, given that 3*p**3 + 60*p**2 + 351*p + 486 = 0.
-9, -2
Factor -2*a**3/3 - 34*a**2 - 186*a - 270.
-2*(a + 3)**2*(a + 45)/3
Find m such that 3*m**2/7 + 8796*m/7 + 6447468/7 = 0.
-1466
What is i in i**2/5 - i/5 - 2/5 = 0?
-1, 2
Let 2*l**5 + 4*l**4 - 14*l**3 - 40*l**2 - 24*l = 0. What is l?
-2, -1, 0, 3
Factor k**4/5 + 52*k**3/5 + 862*k**2/5 + 852*k - 1035.
(k - 1)*(k + 15)**2*(k + 23)/5
Factor -112*f**2/15 + 226*f/15 - 4/15.
-2*(f - 2)*(56*f - 1)/15
Factor 8*c**3/7 + 614*c**2/7 + 454*c/7 - 152/7.
2*(c + 1)*(c + 76)*(4*c - 1)/7
Determine m, given that m**3/3 + 136*m**2 + 14140*m + 163216/3 = 0.
-202, -4
Factor -2*o**3/3 + 74*o**2 - 2016*o - 6272/3.
-2*(o - 56)**2*(o + 1)/3
Determine x so that -10*x**5 + 62*x**4 - 138*x**3 + 130*x**2 - 44*x = 0.
0, 1, 2, 11/5
Find k, given that -2*k**2/11 + 106*k/11 + 108/11 = 0.
-1, 54
Solve -35*l**3 + 920*l**2 + 1700*l - 560 = 0.
-2, 2/7, 28
Factor 5*x**4 + 20*x**3 - 15*x**2 - 50*x + 40.
5*(x - 1)**2*(x + 2)*(x + 4)
Solve 3*f**2/2 + 2415*f + 1944075/2 = 0.
-805
Suppose y**3/3 + 24*y**2 + 47*y + 70/3 = 0. Calculate y.
-70, -1
What is l in 4*l**5/5 - 288*l**4/5 - 296*l**3/5 + 288*l**2/5 + 292*l/5 = 0?
-1, 0, 1, 73
Factor 2*s**4 - 72*s**3 + 554*s**2 + 2052*s - 5776.
2*(s - 19)**2*(s - 2)*(s + 4)
Solve -2*f**2/9 - 5276*f/9 - 3479522/9 = 0.
-1319
Factor 5*y**3 + 210*y**2 - 435*y + 220.
5*(y - 1)**2*(y + 44)
Factor -4*u**3 + 112*u**2 - 400*u + 384.
-4*(u - 24)*(u - 2)**2
Solve -3*q**3 + 54*q**2 + 120*q = 0.
-2, 0, 20
Let -2*x**5/9 - 14*x**4/9 + 2*x**3/9 + 14*x**2/9 = 0. Calculate x.
-7, -1, 0, 1
Factor -2*s**4/5 - 88*s**3/5 - 78*s**2.
-2*s**2*(s + 5)*(s + 39)/5
Factor -q**2/4 - q/4 + 1/2.
-(q - 1)*(q + 2)/4
Suppose 5*c**5 - 50*c**4 - 285*c**3 + 50*c**2 + 280*c = 0. What is c?
-4, -1, 0, 1, 14
Find l, given that l**3/4 - 27*l**2/4 + 179*l/4 - 153/4 = 0.
1, 9, 17
Let -55*g**3 - 540*g**2 + 1420*g - 240 = 0. What is g?
-12, 2/11, 2
Suppose -5*c**4 + 10*c**3 + 40*c**2 = 0. Calculate c.
-2, 0, 4
Find x, given that 3*x**3/5 + 3*x**2 + 18*x/5 = 0.
-3, -2, 0
Determine g so that 3*g**4/2 - 9*g**2 - 12*g - 9/2 = 0.
-1, 3
Factor -3*s**4 + 249*s**2 + 486*s + 240.
-3*(s - 10)*(s + 1)**2*(s + 8)
Suppose -2*g**5/3 + 34*g**4/3 - 56*g**3 + 72*g**2 = 0. What is g?
0, 2, 6, 9
Solve z**2 + 4*z - 96 = 0.
-12, 8
Let 242*f**3 - 2024*f**2 + 712*f - 64 = 0. What is f?
2/11, 8
Factor -3*f**2 - 3732*f.
-3*f*(f + 1244)
Factor -3*w**4 - 1626*w**3 - 218691*w**2 + 442272*w - 221952.
-3*(w - 1)**2*(w + 272)**2
Suppose -2*b**3/9 - 26*b**2/9 - 20*b/9 + 16/3 = 0. Calculate b.
-12, -2, 1
Factor 2*t**5/9 - 40*t**4/9 + 44*t**3/9 + 520*t**2/3 + 338*t.
2*t*(t - 13)**2*(t + 3)**2/9
Let 2*s**5/3 + 2*s**4/3 - 2*s**3/3 - 2*s**2/3 = 0. Calculate s.
-1, 0, 1
Factor 125*z**4 + 360*z**3 - 45*z**2.
5*z**2*(z + 3)*(25*z - 3)
What is k in 4*k**5 - 64*k**4 - 316*k**3 - 104*k**2 + 480*k = 0?
-3, -2, 0, 1, 20
Determine u, given that u**2/3 - 26*u/3 = 0.
0, 26
Determine c so that 30*c**5 + 112*c**4 - 90*c**3 - 52*c**2 = 0.
-13/3, -2/5, 0, 1
Factor -4*s**5 + 536*s**4 + 3360*s**3.
-4*s**3*(s - 140)*(s + 6)
Factor -2*q**5 - 400*q**4 - 26120*q**3 - 519520*q**2 + 2404480*q - 2515456.
-2*(q - 2)**2*(q + 68)**3
Determine l so that -3*l**5/7 - 516*l**4/7 - 4248*l**3 - 83106*l**2 - 380133*l/7 + 3333474/7 = 0.
-57, -3, 2
What is o in -2*o**3/5 - 4*o**2 - 66*o/5 - 72/5 = 0?
-4, -3
Factor k**4 + 16*k**3 + 69*k**2 + 90*k.
k*(k + 3)**2*(k + 10)
Determine i, given that -i**2/3 - 8*i/3 + 3 = 0.
-9, 1
Factor 96*x**3 - 588*x**2 - 153*x.
3*x*(4*x + 1)*(8*x - 51)
Factor 50*x**4/13 - 790*x**3/13 + 608*x**2/13 - 120*x/13.
2*x*(x - 15)*(5*x - 2)**2/13
Let 4*c**4 + 32*c**3 + 60*c**2 = 0. What is c?
-5, -3, 0
Factor 5*s**3 + 95*s**2 + 400*s - 500.
5*(s - 1)*(s + 10)**2
Factor -q**3 - 24*q**2 - 95*q.
-q*(q + 5)*(q + 19)
Factor -2*s**3/17 - 8*s**2/17 + 2*s/17 + 8/17.
-2*(s - 1)*(s + 1)*(s + 4)/17
Find d, given that -6*d**5/5 + 140*d**4 + 238*d**3/5 - 468*d**2/5 = 0.
-1, 0, 2/3, 117
Suppose 2*g**4/5 + 106*g**3/5 - 338*g**2/5 - 106*g/5 + 336/5 = 0. Calculate g.
-56, -1, 1, 3
Factor -2*y**4/11 + 36*y**3/11 - 130*y**2/11.
-2*y**2*(y - 13)*(y - 5)/11
Factor -4*l**4 + 144*l**3 - 260*l**2 - 408*l.
-4*l*(l - 34)*(l - 3)*(l + 1)
Determine h so that -28*h**4/3 + 376*h**3/3 - 1036*h**2/3 - 240*h = 0.
-4/7, 0, 5, 9
Suppose -q**5 + 3*q**4 + 5*q**3 - 3*q**2 - 4*q = 0. What is q?
-1, 0, 1, 4
Solve 4*m**3 + 20*m**2 - 48*m - 144 = 0.
-6, -2, 3
Solve -147*d**5 - 1638*d**4 - 6432*d**3 - 10560*d**2 - 6912*d - 1536 = 0 for d.
-4, -2, -4/7
Determine u, given that 4*u**3 + 460*u**2 + 1352*u + 896 = 0.
-112, -2, -1
What is n in -3*n**2 - 6*n = 0?
-2, 0
Determine d, given that d**4/3 - 154*d**3/3 + 6373*d**2/3 - 11396*d + 16428 = 0.
3, 74
Solve -15*h**5 - 50*h**4 - 40*h**3 + 30*h**2 + 55*h + 20 = 0 for h.
-4/3, -1, 1
Factor d**4 + 33*d**3 - 69*d**2 + 35*d.
d*(d - 1)**2*(d + 35)
Suppose s**4 - 9*s**3 - 169*s**2 - 399*s = 0. Calculate s.
-7, -3, 0, 19
Factor 2*n**4 + 186*n**3 + 4206*n**2 - 6674*n - 53016.
2*(n - 4)*(n + 3)*(n + 47)**2
Find y, given that -15*y**4 - 681*y**3 - 210*y**2 + 2724*y + 1080 = 0.
-45, -2, -2/5, 2
Let -w**2/3 - 296*w - 65712 = 0. What is w?
-444
Suppose u**3 - 9*u**2 + 26*u - 24 = 0. What is u?
2, 3, 4
Factor 5*d**4 + 60*d**3 + 100*d**2.
5*d**2*(d + 2)*(d + 10)
Find k, given that -3*k**4/5 - 28*k**3/5 - 37*k**2/5 + 128*k/5 - 12 = 0.
-6, -5, 2/3, 1
Suppose z**2/4 + 5*z - 11 = 0. What is z?
-22, 2
Factor x**4/4 + 11*x**3/4 + 11*x**2/4 - 59*x/4 + 9.
(x - 1)**2*(x + 4)*(x + 9)/4
Determine m, given that 26*m**4/3 - 101*m**3/3 + 22*m**2 + 3*m = 0.
-3/26, 0, 1, 3
Suppose w**3/4 + 41*w**2 + 1833*w + 12168 = 0. Calculate w.
-78, -8
Factor -5413568314*q**5 - 703060820*q**4 - 36522640*q**3 - 948640*q**2 - 12320*q - 64.
-2*(77*q + 2)**5
Solve -4*d**2/5 + 112*d/5 - 108/5 = 0 for d.
1, 27
Factor 2*p**2/15 + 98*p/15 - 20/3.
2*(p - 1)*(p + 50)/15
Find r, given that -2*r**4 + 12*r**3 - 18*r**2 + 8*r = 0.
0, 1, 4
Determine l so that -138*l**5/17 - 328*l**4/17 + 814*l**3/17 - 332*l**2/17 - 16*l/17 = 0.
-4, -1/23, 0, 2/3, 1
Factor -5*a**2 - 3295*a + 6610.
-5*(a - 2)*(a + 661)
Factor -d**4/2 + 6*d**3 + 43*d**2/2 + 15*d.
-d*(d - 15)*(d + 1)*(d + 2)/2
Let s**4/3 - 31*s**3/3 + 106*s**2 - 384*s + 288 = 0. Calculate s.
1, 6, 12
Factor -2*l**3 + 18186*l**2 - 55121766*l + 55691357582.
-2*(l - 3031)**3
Suppose 3*n**3 - 282*n**2 + 555*n - 276 = 0. What is n?
1, 92
Factor -3*j**2/5 - 819*j/5.
-3*j*(j + 273)/5
Factor 54*v*