4*n.
-4*n*(n - 1)*(n + 876)
Find k such that 3*k**4 - 63*k**3 + 264*k**2 - 396*k + 192 = 0.
1, 2, 16
Factor -v**2 + 1401*v + 1402.
-(v - 1402)*(v + 1)
Factor -g**3/12 + 7*g**2/6 - 5*g + 6.
-(g - 6)**2*(g - 2)/12
Solve 125*b**3 + 20*b**2 = 0.
-4/25, 0
Determine s, given that -s**5/10 - 3*s**4/2 - 15*s**3/2 - 29*s**2/2 - 12*s - 18/5 = 0.
-6, -1
Solve n**2/7 - 62*n/7 - 803/7 = 0 for n.
-11, 73
What is w in -3*w**3 - 12*w**2 + 57*w - 42 = 0?
-7, 1, 2
Let 7*i**2/8 - 41*i/8 + 15/2 = 0. Calculate i.
20/7, 3
Determine k, given that 315*k**4 + 786*k**3 + 639*k**2 + 180*k + 12 = 0.
-1, -2/5, -2/21
Factor 2*r**3/11 + 68*r**2/11 - 3242*r/11 + 3172/11.
2*(r - 26)*(r - 1)*(r + 61)/11
Find p, given that -5*p**3 - 350*p**2 + 715*p - 360 = 0.
-72, 1
Find q, given that 3*q**3 - 5112*q**2 + 2903616*q - 549751296 = 0.
568
Find z, given that 2*z**3/3 + 1648*z**2/3 + 3290*z/3 + 548 = 0.
-822, -1
Factor -2*i**3 - 22*i**2 - 20*i.
-2*i*(i + 1)*(i + 10)
Factor 3*p**2 - 444*p + 16428.
3*(p - 74)**2
What is w in 2*w**4/9 + 128*w**3/9 + 26*w**2 - 860*w/9 + 496/9 = 0?
-62, -4, 1
Factor 4*n**2 + 4888*n - 4892.
4*(n - 1)*(n + 1223)
Determine k, given that -3*k**2/5 - 36*k/5 - 33/5 = 0.
-11, -1
Let -4*x**3 + 3908*x**2 - 952572*x - 956484 = 0. Calculate x.
-1, 489
Solve 4*g**3/7 - 388*g + 5400/7 = 0.
-27, 2, 25
Factor -4*q**2 - 52*q - 88.
-4*(q + 2)*(q + 11)
Solve g**3/4 - 11*g**2/4 + 5*g/2 + 18 = 0 for g.
-2, 4, 9
Factor 3*k**3 - 15*k**2 + 12*k.
3*k*(k - 4)*(k - 1)
Factor 4*y**2/3 + 1480*y + 410700.
4*(y + 555)**2/3
What is n in n**2/2 - 397*n/2 + 198 = 0?
1, 396
Factor -11*i**2/6 - 26*i/3 + 5/2.
-(i + 5)*(11*i - 3)/6
Factor 2*a**2 + 3280*a + 1344800.
2*(a + 820)**2
Find p, given that -8*p**5/5 + 124*p**4/5 - 366*p**3/5 + 373*p**2/5 - 158*p/5 + 24/5 = 0.
1/2, 2, 12
Factor g**2 - 7766*g + 15077689.
(g - 3883)**2
Factor b**2 + 24*b + 80.
(b + 4)*(b + 20)
Factor -3*n**2/2 + 1644*n - 450456.
-3*(n - 548)**2/2
What is r in 14*r**4/15 - 88*r**3/5 - 106*r**2/5 - 8*r/3 = 0?
-1, -1/7, 0, 20
Suppose 7*r**2/5 - 1598*r/5 + 456/5 = 0. What is r?
2/7, 228
Let -3*g**2/7 + 81*g/7 - 54 = 0. What is g?
6, 21
Factor -3*a**4/5 - 12*a**3/5 + 3*a**2.
-3*a**2*(a - 1)*(a + 5)/5
Suppose 5*y**5 - 90*y**4 - 200*y**3 - 10*y**2 + 195*y + 100 = 0. What is y?
-1, 1, 20
Suppose -5*f**2 + 2220*f - 246420 = 0. What is f?
222
Factor 6*v**4 + 2*v**3 - 22*v**2 + 14*v.
2*v*(v - 1)**2*(3*v + 7)
Find o, given that -3*o**2/4 + 285*o/2 - 558 = 0.
4, 186
Find x such that -10*x**4/3 - 125*x**3/6 - 45*x**2 - 110*x/3 - 20/3 = 0.
-2, -1/4
Suppose -2*d**5/11 - 30*d**4/11 - 108*d**3/11 + 4*d**2 + 366*d/11 - 270/11 = 0. Calculate d.
-9, -5, -3, 1
Solve -r**4/10 + 9*r**3/5 - 13*r**2/2 - 42*r/5 = 0 for r.
-1, 0, 7, 12
Find f, given that 18*f**3/13 - 302*f**2/13 - 752*f/13 - 152/13 = 0.
-2, -2/9, 19
Solve 2*u**2/15 - 196*u/15 = 0 for u.
0, 98
Find z, given that -20*z**2 + 31785*z - 7945 = 0.
1/4, 1589
What is u in 36*u**5/7 - 32*u**4 + 48*u**3 + 152*u**2/7 - 372*u/7 + 72/7 = 0?
-1, 2/9, 1, 3
Factor 2*n**3 - 10*n**2 - 26*n - 14.
2*(n - 7)*(n + 1)**2
Factor 3*k**2 - 192*k + 549.
3*(k - 61)*(k - 3)
Determine b so that 6*b**5/7 - 34*b**4/7 - 106*b**3/7 - 54*b**2/7 + 44*b/7 + 32/7 = 0.
-1, 2/3, 8
Find k, given that k**2/3 + 82*k/3 + 27 = 0.
-81, -1
Factor 2*p**3 - 22*p**2 - 372*p + 2160.
2*(p - 18)*(p - 5)*(p + 12)
Let -2*c**2/23 - 22*c/23 = 0. Calculate c.
-11, 0
What is n in 2*n**4/3 - 6*n**2 - 8*n/3 + 8 = 0?
-2, 1, 3
Factor 5*v**4 + 1040*v**3 + 81120*v**2 + 2812160*v + 36558080.
5*(v + 52)**4
Let -m**5/3 - 2*m**4/3 + 2*m**3/3 + 4*m**2/3 - m/3 - 2/3 = 0. What is m?
-2, -1, 1
Factor p**4/6 - 13*p**3/6 + 3*p**2 + 80*p/3 + 64/3.
(p - 8)**2*(p + 1)*(p + 2)/6
Factor -z**2/5 - 109*z/5 - 108/5.
-(z + 1)*(z + 108)/5
Factor 5*h**2 - 30*h - 135.
5*(h - 9)*(h + 3)
Factor -4*t**3 - 308*t**2 - 2256*t - 3312.
-4*(t + 2)*(t + 6)*(t + 69)
Suppose 20*b**5 + 265*b**4 + 1325*b**3 + 3015*b**2 + 2835*b + 540 = 0. Calculate b.
-4, -3, -1/4
Find u, given that -2*u**2 + 124*u + 390 = 0.
-3, 65
Let -c**5 + 68*c**4 - 1734*c**3 + 19652*c**2 - 83521*c = 0. What is c?
0, 17
Factor -5*z**2 - 50*z.
-5*z*(z + 10)
Factor -206*m**2/5 + 44*m - 14/5.
-2*(m - 1)*(103*m - 7)/5
Factor 147*u**3 + 77679*u**2 - 44424*u + 6348.
3*(u + 529)*(7*u - 2)**2
Determine k, given that 3*k**4 - 12*k**3 + 18*k**2 - 12*k + 3 = 0.
1
Factor -5*p**4 + 50*p**3 - 160*p**2 + 190*p - 75.
-5*(p - 5)*(p - 3)*(p - 1)**2
Factor 3*o**3 - 288*o**2 - 291*o.
3*o*(o - 97)*(o + 1)
Determine r, given that -146*r**3/9 + 164*r**2/9 + 274*r/9 - 4 = 0.
-1, 9/73, 2
Solve 10*f**3/11 - 34*f**2/11 - 8*f + 40/11 = 0 for f.
-2, 2/5, 5
Suppose -2*l**4 - 38*l**3 + 68*l**2 + 512*l - 960 = 0. Calculate l.
-20, -4, 2, 3
Solve 2*u**5/3 - 34*u**4/3 - 130*u**3/3 + 1014*u**2 = 0 for u.
-9, 0, 13
Factor x**3/6 + 4*x**2 + 161*x/6 + 39.
(x + 2)*(x + 9)*(x + 13)/6
Factor 3*b**3/4 + 3*b**2 - 3*b/4 - 3.
3*(b - 1)*(b + 1)*(b + 4)/4
Let -44*r**4/5 + 128*r**3/5 - 124*r**2/5 + 8*r = 0. What is r?
0, 10/11, 1
Let -5580*h**5 - 546*h**4 + 4762*h**3 + 1548*h**2 - 168*h - 16 = 0. What is h?
-2/3, -1/2, -2/31, 2/15, 1
Find b, given that b**3/3 + 56*b**2/3 + 109*b/3 + 18 = 0.
-54, -1
Factor -3*w**4 - 123*w**3 - 1062*w**2 + 4092*w - 2904.
-3*(w - 2)*(w - 1)*(w + 22)**2
Determine l so that -14*l**3 - 144*l**2 - 166*l - 36 = 0.
-9, -1, -2/7
Suppose -5*y**4 + 4070*y**3 - 12180*y**2 + 12170*y - 4055 = 0. What is y?
1, 811
Solve -j**2/3 - 59*j + 178/3 = 0.
-178, 1
Find o such that -3*o**2/2 - 15831*o - 83540187/2 = 0.
-5277
Factor 5*d**2 - 95*d + 90.
5*(d - 18)*(d - 1)
Solve -12*h**4 - 716*h**3 - 10560*h**2 + 3600*h = 0 for h.
-30, 0, 1/3
Factor -2*m**3 + 44*m**2 + 662*m - 704.
-2*(m - 32)*(m - 1)*(m + 11)
Determine x, given that -21*x**5/2 + 60*x**4 + 186*x**3 + 48*x**2 = 0.
-2, -2/7, 0, 8
Factor 15*h**5 - 66*h**4 + 114*h**3 - 96*h**2 + 39*h - 6.
3*(h - 1)**4*(5*h - 2)
Find k, given that -3*k**2/2 - 105*k/2 - 351 = 0.
-26, -9
Suppose 2*u**5/15 + 44*u**4/15 + 184*u**3/15 + 244*u**2/15 + 34*u/5 = 0. Calculate u.
-17, -3, -1, 0
Factor -549152*x**2 + 6288*x - 18.
-2*(524*x - 3)**2
Determine g so that 2*g**5/3 - 22*g**4/3 + 46*g**3/3 + 94*g**2/3 - 16*g - 24 = 0.
-1, 1, 6
What is v in -4*v**3 + 48*v**2 = 0?
0, 12
Factor -4*p**2 + 1240*p + 5024.
-4*(p - 314)*(p + 4)
Factor -2*x**4 - 50*x**3 - 138*x**2 - 134*x - 44.
-2*(x + 1)**3*(x + 22)
What is d in 2*d**4 + 2202*d**3 + 602788*d**2 - 1823808*d + 1218816 = 0?
-552, 1, 2
Solve 4*d**2/3 + 16*d + 44/3 = 0 for d.
-11, -1
Solve 2*c**3/21 - 38*c**2/21 + 176*c/21 = 0 for c.
0, 8, 11
Factor 3*l**2/5 + 327*l/5 + 642/5.
3*(l + 2)*(l + 107)/5
Factor -2*t**2/15 + 2*t/5 + 52/3.
-2*(t - 13)*(t + 10)/15
Factor 2*o**4 - 1166*o**3 + 226980*o**2 - 14828584*o + 14602768.
2*(o - 194)**3*(o - 1)
Factor 2*v**2/7 - 30*v/7 - 200/7.
2*(v - 20)*(v + 5)/7
Find t such that 418*t**3/7 - 422*t**2/7 + 4*t/7 = 0.
0, 2/209, 1
Suppose 18*h**5 - 212*h**4 + 24*h**3 + 3472*h**2 + 5376*h + 1024 = 0. Calculate h.
-2, -2/9, 8
Factor -4*f**2/5 + 3856*f/5 + 7728/5.
-4*(f - 966)*(f + 2)/5
Suppose -2*m**2 - 274*m + 4228 = 0. What is m?
-151, 14
Factor -8*t**4/19 - 50*t**3/19 - 12*t**2/19.
-2*t**2*(t + 6)*(4*t + 1)/19
Determine s, given that -2*s**5/15 + 2*s**4/5 + 10*s**3/3 + 14*s**2/5 = 0.
-3, -1, 0, 7
Factor -174845*k**2 - 11220*k - 180.
-5*(187*k + 6)**2
Determine c so that -5*c**4 - 10*c**3 + 275*c**2 + 280*c = 0.
-8, -1, 0, 7
Suppose 3*r**5 + 54*r**4 + 303*r**3 + 696*r**2 + 684*r + 240 = 0. Calculate r.
-10, -4, -2, -1
Determine k so that -k**4/5 - 5*k**3 + 2136*k**2/5 + 432*k = 0.
-60, -1, 0, 36
Factor -d**3/2 - 49*d**2/4 - 60*d - 27.
-(d + 6)*(d + 18)*(2*d + 1)/4
Factor -4*u**4 + 8*u**3 + 44*u**2 - 48*u - 144.
-4*(u - 3)**2*(u + 2)**2
Find q such that -4*q**3 - 196*q**2 + 404*q - 204 = 0.
-51, 1
Factor u**2/4 - 137*u/4.
u*(u - 137)/4
Solve -m**5/4 - 5*m**4/4 + 7*m**3/2 - m**2/2 - 13*m/4 + 7/4 = 0 for m.
-7, -1, 1
Solve -3*k**5 + 33*k**4 - 57*k**3 + 27*k**2 = 0 for k.
0, 1, 9
Factor -2*a**4/9 - 4*a**3/3 + 2*a**2/9 + 4*a/3.
-2*a*(a - 1)*(a + 1)*(a + 6)/9
Factor b**4/4 - 31*b**3/4 + 99*b**2/2.
b**2*(b - 22)*(b - 9)/4
Factor 2*k**3 - 338*k**2 + 670*k - 334.
2*(k - 167)*(k - 1)**2
Find x, given that 330*x**4 + 663*x**3 + 336*x**2 + 3*x = 0.
-1, -1/110, 0
Let 5*l**5/4 - 15*l**4 + 85*l**3/2 - 15*l**2 - 175*l/4 + 30 = 0. What is l?
-1, 1,