0*u**2 + 3*u.
u*(u + 1)**3*(u + 3)
Factor a**2/4 - 92*a + 8464.
(a - 184)**2/4
Factor -2*l**2 - 76*l - 74.
-2*(l + 1)*(l + 37)
Solve -27*w**4/8 - 3843*w**3/4 + 2571*w**2/2 - 429*w = 0 for w.
-286, 0, 2/3
Factor 2*d**3/5 - 96*d/5 + 256/5.
2*(d - 4)**2*(d + 8)/5
Factor 5*h**3 - 170*h**2 - 175*h.
5*h*(h - 35)*(h + 1)
Factor 2*v**4/3 - 68*v**3/3 + 22*v**2.
2*v**2*(v - 33)*(v - 1)/3
Factor y**2 + 420*y + 44100.
(y + 210)**2
Factor -2*k**5/9 + 16*k**4/9 - 4*k**3/3 - 24*k**2 + 78*k - 72.
-2*(k - 3)**4*(k + 4)/9
Factor 4*q**3/7 - 288*q**2/7.
4*q**2*(q - 72)/7
Find i such that -9*i**2 + 138*i - 45 = 0.
1/3, 15
Find y such that 10*y**5/7 + 8*y**4 + 26*y**3/7 - 20*y**2/7 = 0.
-5, -1, 0, 2/5
Factor 2*s**2 - 196*s - 400.
2*(s - 100)*(s + 2)
Suppose -3*r**4 + 15*r**2 - 12 = 0. Calculate r.
-2, -1, 1, 2
Factor 3*k**3 + 459*k**2 + 14193*k - 268671.
3*(k - 13)*(k + 83)**2
Determine m, given that -3*m**4/2 + 21*m**3 - 135*m**2/2 + 78*m - 30 = 0.
1, 2, 10
Suppose -o**3/6 + 5*o**2/3 - 8*o/3 = 0. What is o?
0, 2, 8
Factor 4*c**2 + 504*c + 15876.
4*(c + 63)**2
Determine f, given that -9*f**2 + 911*f - 202 = 0.
2/9, 101
Solve -4*g**3/9 - 13*g**2/9 - 11*g/9 - 2/9 = 0.
-2, -1, -1/4
Factor -v**4/8 - 19*v**3/4 + 87*v**2/2 - 113*v + 92.
-(v - 4)*(v - 2)**2*(v + 46)/8
Determine q so that 4*q**4 + 16*q**3 - 24*q**2 - 144*q - 108 = 0.
-3, -1, 3
Factor -k**3/5 + 3*k**2 + 33*k/5 + 17/5.
-(k - 17)*(k + 1)**2/5
Let 4*z**4/3 + 251*z**3/3 - 67*z**2/3 - 251*z/3 + 21 = 0. What is z?
-63, -1, 1/4, 1
Let -2*c**2 - 94*c - 884 = 0. What is c?
-34, -13
Factor v**3/4 + 7*v**2/4.
v**2*(v + 7)/4
Determine l so that -2*l**3 + 18*l**2 + 72*l = 0.
-3, 0, 12
Find x such that x**4/2 - 11*x**3/2 + 5*x**2 = 0.
0, 1, 10
Factor 2*a**3/13 - 492*a**2/13 + 40344*a/13 - 1102736/13.
2*(a - 82)**3/13
Factor 4*h**3 - 12*h**2.
4*h**2*(h - 3)
Determine q so that -6*q**5/17 + 122*q**4/17 - 138*q**3/17 - 274*q**2/17 + 144*q/17 + 152/17 = 0.
-1, -2/3, 1, 2, 19
Let 21*l**3 + 951*l**2 - 1704*l - 564 = 0. Calculate l.
-47, -2/7, 2
Factor d**2/5 - 4/5.
(d - 2)*(d + 2)/5
Suppose -3*f**4/7 - 6*f**3/7 - 3*f**2/7 = 0. Calculate f.
-1, 0
Factor 3*r**4 + 9*r**3 - 99*r**2 + 159*r - 72.
3*(r - 3)*(r - 1)**2*(r + 8)
Solve -2*q**4 - 13648*q**3 - 23269836*q**2 + 46580624*q - 23297138 = 0.
-3413, 1
Solve -4*h**3 + 172*h**2 + 356*h + 180 = 0 for h.
-1, 45
Factor -3*f**2 + 6*f + 9.
-3*(f - 3)*(f + 1)
Solve 3*w**4/2 + 21*w**3/2 - 21*w**2/2 - 165*w/2 - 63 = 0 for w.
-7, -2, -1, 3
Factor 3*p**3 - 3*p**2 - 255*p - 825.
3*(p - 11)*(p + 5)**2
Let 10*x**5 - 545*x**4 + 7470*x**3 + 1260*x**2 - 68040*x + 32805 = 0. Calculate x.
-3, 1/2, 3, 27
Solve 2*s**3/13 + 96*s**2/13 + 1530*s/13 + 8092/13 = 0 for s.
-17, -14
Let 36*r**5 - 548*r**4 + 2748*r**3 - 5228*r**2 + 3552*r - 560 = 0. What is r?
2/9, 1, 2, 5, 7
What is z in 5*z**5 - 45*z**4 + 160*z**3 - 280*z**2 + 240*z - 80 = 0?
1, 2
Factor 3*w**3/8 + 21*w**2 + 294*w.
3*w*(w + 28)**2/8
Factor -3*w**2 - 555*w - 552.
-3*(w + 1)*(w + 184)
Factor 5*j**2 - 1335*j + 5260.
5*(j - 263)*(j - 4)
Solve 3*j**4/4 + 23*j**3/8 - 11*j**2/4 - 105*j/8 + 9/4 = 0.
-3, 1/6, 2
Factor -3*m**3 - 615*m**2 - 36096*m - 450636.
-3*(m + 17)*(m + 94)**2
Factor -9*m**3/2 - 30*m**2 - 42*m.
-3*m*(m + 2)*(3*m + 14)/2
Solve 36*z**2 + 2224*z - 496 = 0 for z.
-62, 2/9
Factor 338*x**4 + 2964*x**3 + 9306*x**2 + 12312*x + 5832.
2*(x + 3)**2*(13*x + 18)**2
Factor -3*o**4 + 3075*o**3 - 1052667*o**2 + 121048521*o - 237910926.
-3*(o - 341)**3*(o - 2)
Determine u so that u**3/2 - 3*u**2 + 11*u/2 - 3 = 0.
1, 2, 3
What is a in -4*a**4 - 356*a**3 - 700*a**2 - 348*a = 0?
-87, -1, 0
Let -3*t**5 - 12*t**4 + 18*t**3 + 108*t**2 + 81*t = 0. Calculate t.
-3, -1, 0, 3
Solve -2*s**4 + 36*s**3 + 322*s**2 + 684*s + 400 = 0.
-4, -2, -1, 25
What is y in -9*y**3 + 246*y**2 - 1059*y + 1206 = 0?
2, 3, 67/3
Suppose -4*g**5 + 56*g**4 + 44*g**3 - 1696*g**2 - 3280*g - 1600 = 0. Calculate g.
-4, -1, 10
Determine n so that 15*n**5 - 395*n**4 + 745*n**3 + 2255*n**2 + 620*n - 480 = 0.
-1, 1/3, 4, 24
Determine c so that 2*c**2/3 + 2552*c/3 = 0.
-1276, 0
What is y in -2*y**5 - 14*y**4 + 42*y**3 + 158*y**2 - 376*y + 192 = 0?
-8, -4, 1, 3
Factor 3*v**5 + 18*v**4 + 36*v**3 + 30*v**2 + 9*v.
3*v*(v + 1)**3*(v + 3)
Factor 1922*z**3 - 6138*z**2 + 1134*z - 54.
2*(z - 3)*(31*z - 3)**2
Factor -92*u**2 - 284*u - 24.
-4*(u + 3)*(23*u + 2)
Factor o**5/6 + 7*o**4/3 + 67*o**3/6 + 73*o**2/3 + 74*o/3 + 28/3.
(o + 1)*(o + 2)**3*(o + 7)/6
Factor 3*f**4/7 + 3*f**3 + 33*f**2/7 + 15*f/7.
3*f*(f + 1)**2*(f + 5)/7
Solve -4*x**4 + 104*x**3 - 436*x**2 - 3120*x - 3600 = 0 for x.
-2, 15
Determine t, given that -t**3/9 - 7*t**2/3 - 49*t/3 - 343/9 = 0.
-7
Determine u, given that -2*u**3 - 546*u**2 - 34686*u + 357858 = 0.
-141, 9
Let 2*y**2 + 6*y - 176 = 0. What is y?
-11, 8
Factor 251*d**3/3 - 505*d**2/3 + 257*d/3 - 1.
(d - 1)**2*(251*d - 3)/3
Factor -3*a**4 - 33*a**3 - 72*a**2 + 108*a.
-3*a*(a - 1)*(a + 6)**2
Factor -a**2/4 - 309*a/4 - 459/2.
-(a + 3)*(a + 306)/4
Determine d so that 2*d**4/3 + 40*d**3/3 - 134*d**2/3 + 92*d/3 = 0.
-23, 0, 1, 2
Factor 5532*y**3 + 22144*y**2 + 22192*y + 64.
4*(y + 2)**2*(1383*y + 4)
Determine c, given that -4*c**5 - 32*c**4 - 72*c**3 - 64*c**2 - 20*c = 0.
-5, -1, 0
Suppose -15*v**4 + 3*v**3 + 12*v**2 = 0. What is v?
-4/5, 0, 1
Factor z**2/2 - 582*z + 169362.
(z - 582)**2/2
Let 4*p**3 - 12*p**2 - 24*p + 32 = 0. What is p?
-2, 1, 4
Let 5*u**2 + 3195*u - 3200 = 0. Calculate u.
-640, 1
Determine g, given that 4*g**2 + 80*g - 84 = 0.
-21, 1
What is n in 4*n**5/7 - 36*n**4/7 - 232*n**3/7 + 296*n**2/7 + 228*n/7 - 260/7 = 0?
-5, -1, 1, 13
Let q**3/4 + 13*q**2/2 + 25*q/4 = 0. What is q?
-25, -1, 0
Find p such that 3*p**4/5 + 144*p**3/5 + 1242*p**2/5 - 11664*p/5 + 19683/5 = 0.
-27, 3
Factor 4*k**2 + 256*k + 4096.
4*(k + 32)**2
Determine l, given that 2*l**5 + 10*l**4 - 16*l**3 - 88*l**2 + 64*l + 128 = 0.
-4, -1, 2
Factor -10*u**3 + 54*u**2 - 60*u + 16.
-2*(u - 4)*(u - 1)*(5*u - 2)
Let 3*n**4 + 57*n**3 = 0. Calculate n.
-19, 0
Find t, given that -3*t**4 + 57*t**3 - 105*t**2 + 51*t = 0.
0, 1, 17
Determine c so that -25*c**3 - 715*c**2 + 290*c = 0.
-29, 0, 2/5
Factor -4*y**2/3 - 12*y + 336.
-4*(y - 12)*(y + 21)/3
Factor -20*n**4 + 620*n**3 - 4805*n**2.
-5*n**2*(2*n - 31)**2
Factor -2*c**2/3 - 80*c/3 - 800/3.
-2*(c + 20)**2/3
Let -2*o**2 - 10*o + 12 = 0. What is o?
-6, 1
Solve 3*t**3/2 - 51*t**2/2 + 123*t - 180 = 0 for t.
3, 4, 10
Factor -3*c**4 - 91*c**3 - 30*c**2.
-c**2*(c + 30)*(3*c + 1)
Factor -18*d**4 - 273*d**3 - 1395*d**2 - 2475*d - 375.
-3*(d + 5)**3*(6*d + 1)
Factor -q**4/2 + 7*q**3/2 + 39*q**2/2 - 203*q/2 - 245.
-(q - 7)**2*(q + 2)*(q + 5)/2
Let a**3/2 + 471*a**2/2 + 73947*a/2 + 3869893/2 = 0. What is a?
-157
Factor 3*x**2 - 16380*x + 22358700.
3*(x - 2730)**2
Factor -2*f**5/13 - 212*f**4/13 - 5826*f**3/13 - 848*f**2 - 416*f.
-2*f*(f + 1)**2*(f + 52)**2/13
Let 3*n**3/4 - 135*n**2/2 - 273*n/4 = 0. Calculate n.
-1, 0, 91
Suppose -a**4/5 - 61*a**3/5 + a**2/5 + 61*a/5 = 0. What is a?
-61, -1, 0, 1
Solve -3*t**2/8 + 747*t/8 - 93 = 0 for t.
1, 248
Factor j**5/11 + 6*j**4 + 1560*j**3/11 + 15200*j**2/11 + 48000*j/11.
j*(j + 6)*(j + 20)**3/11
Find y, given that 3*y**2 + 1338*y + 1335 = 0.
-445, -1
Determine d so that 3*d**3/2 + 246*d**2 - 2523*d/2 + 1014 = 0.
-169, 1, 4
Let -4*y**5/7 + 344*y**4/7 - 7368*y**3/7 - 2384*y**2/7 + 49708*y/7 + 44376/7 = 0. Calculate y.
-2, -1, 3, 43
Factor 4*d**4 + 60*d**3 - 376*d**2 + 480*d.
4*d*(d - 3)*(d - 2)*(d + 20)
Suppose u**5/7 + 16*u**4/7 + 55*u**3/7 - 72*u**2/7 = 0. What is u?
-9, -8, 0, 1
Determine d, given that 2*d**2 - 118*d = 0.
0, 59
Factor 8*i**2 + 2*i.
2*i*(4*i + 1)
What is v in v**5/3 + 7*v**4/3 + 11*v**3/3 - 7*v**2/3 - 4*v = 0?
-4, -3, -1, 0, 1
Factor z**3 + 30*z**2 + 225*z.
z*(z + 15)**2
Determine m so that 2*m**4/5 - 32*m**3/5 - 154*m**2/5 - 24*m = 0.
-3, -1, 0, 20
Suppose -40*u**3 - 1615*u**2 + 2760*u + 1260 = 0. Calculate u.
-42, -3/8, 2
Find t such that -8*t**2/9 - 1480*t/9 - 68450/9 = 0.
-185/2
Factor -5*j**3 + 10*j**2.
-5*j**2*(j - 2)
Factor -d**5/10 + 28*d**4 - 2940*d**3 + 137200*d**2 - 2401000*d.
-d*(d - 70)**4/10
Determine h so that -4*h**3 + 22028*h**2 + 44068*h + 22036 = 0.
-1, 5509
What is j in -5*j**5/4 - 15*j**4 + 155*j**3/4 + 95*j**2/2 - 75*j - 70 = 0?
-14, -1, 2
Determine y, given that -y**4/3 - 74*y**3 + 225