3*k**2/4 - 231*k.
-3*k*(k - 44)*(k - 7)/4
What is i in 2*i**2/11 - 2*i + 36/11 = 0?
2, 9
Suppose -3*s**3 - 66*s**2 - 63*s = 0. What is s?
-21, -1, 0
Find s such that -3*s**3/5 - 51*s**2/5 - 93*s/5 - 9 = 0.
-15, -1
Find p such that -2*p**2/11 + 26*p/11 - 24/11 = 0.
1, 12
Solve -15*r**4/8 - 197*r**3/4 - 785*r**2/8 + 369*r/4 - 18 = 0.
-24, -3, 1/3, 2/5
Factor -4*d**3/3 - 452*d**2/3 - 1272*d - 2496.
-4*(d + 3)*(d + 6)*(d + 104)/3
Factor 2*w**2 + 280*w + 9800.
2*(w + 70)**2
Factor -3*g**3/5 + 102*g**2/5 - 867*g/5.
-3*g*(g - 17)**2/5
Factor -2*i**3/7 - 3476*i**2/7 + 3478*i/7.
-2*i*(i - 1)*(i + 1739)/7
Factor -4*u**3 + 60*u**2 - 248*u + 192.
-4*(u - 8)*(u - 6)*(u - 1)
Determine x so that x**3/6 - x**2/3 = 0.
0, 2
Suppose 2*a**5/21 - 40*a**4/21 - 52*a**3/21 + 72*a**2/7 - 6*a = 0. Calculate a.
-3, 0, 1, 21
Solve -2*n**5 + 48*n**4 - 38*n**3 - 192*n**2 + 184*n = 0.
-2, 0, 1, 2, 23
What is v in 5*v**2 + 35*v - 220 = 0?
-11, 4
Suppose y**3 - 18*y**2 + 108*y - 216 = 0. What is y?
6
Find f, given that -5*f**2/2 + 21985*f - 96668045/2 = 0.
4397
Solve -4*u**3 - 672*u**2 + 2752*u = 0.
-172, 0, 4
Factor -4*g**5 + 16*g**4 - 20*g**3 + 8*g**2.
-4*g**2*(g - 2)*(g - 1)**2
Factor -x**2 + 55*x.
-x*(x - 55)
Solve 3*b**4/2 + 90*b**3 + 513*b**2/2 - 6*b - 342 = 0.
-57, -2, 1
Find b, given that 2*b**3/3 + 10*b**2 + 28*b/3 = 0.
-14, -1, 0
Factor -y**3 + 30*y**2.
-y**2*(y - 30)
Find a, given that 6*a**5 + 149*a**4 + 1416*a**3 + 6264*a**2 + 12096*a + 6480 = 0.
-6, -5/6
Factor k**2/2 - 3496*k + 6111008.
(k - 3496)**2/2
Let -2*o**5/3 - 190*o**4/3 + 2074*o**3/3 - 950*o**2 - 4224*o - 2520 = 0. Calculate o.
-105, -1, 6
Find h, given that -3*h**3 + 156*h**2 - 1221*h + 2580 = 0.
4, 5, 43
What is j in 5*j**5/4 + 95*j**4/4 + 80*j**3 + 75*j**2 = 0?
-15, -2, 0
Suppose 2*j**2/7 + 36*j/7 - 38/7 = 0. Calculate j.
-19, 1
Suppose 2*x**4 + 46*x**3 + 124*x**2 + 80*x = 0. Calculate x.
-20, -2, -1, 0
Factor 5*x**3 - 5*x.
5*x*(x - 1)*(x + 1)
Factor -5*u**3 + 70*u**2 - 125*u + 60.
-5*(u - 12)*(u - 1)**2
Factor -5*a**2 - 60*a + 320.
-5*(a - 4)*(a + 16)
Find w, given that 4*w**2 - 40*w - 96 = 0.
-2, 12
Suppose -b**4 - 311*b**3 - 2437*b**2 - 3945*b - 1818 = 0. Calculate b.
-303, -6, -1
Factor p**3/4 - 147*p**2/2 + 20385*p/4 + 45602.
(p - 151)**2*(p + 8)/4
Factor f**3/3 - 266*f**2/3 + 5715*f + 24300.
(f - 135)**2*(f + 4)/3
Suppose -22*m**2/5 - 114*m - 100 = 0. Calculate m.
-25, -10/11
Factor -2*l**3 + 172*l**2.
-2*l**2*(l - 86)
Factor -m**3 + 259*m**2/2 - 385*m/2 + 64.
-(m - 128)*(m - 1)*(2*m - 1)/2
Determine z, given that 5*z**5 + 255*z**4 + 4860*z**3 + 41040*z**2 + 129600*z = 0.
-15, -12, 0
Factor 3*d**3 + 18*d**2 - 96.
3*(d - 2)*(d + 4)**2
Factor -3*j**2 - 513*j - 510.
-3*(j + 1)*(j + 170)
Factor 2*t**3 - 26*t**2 + 44*t.
2*t*(t - 11)*(t - 2)
Let 4*q**4 + 4*q**3 - 24*q**2 - 16*q + 32 = 0. Calculate q.
-2, 1, 2
Factor g**2/6 - 4*g/3.
g*(g - 8)/6
Find y, given that y**3/5 - 3*y/5 - 2/5 = 0.
-1, 2
Determine y so that y**3/4 - 7*y**2 + 161*y/4 + 95/2 = 0.
-1, 10, 19
Find i such that 2*i**3/13 + 224*i**2/13 + 370*i + 2236 = 0.
-86, -13
Solve 2*d**3 - 8*d**2 - 22*d - 12 = 0.
-1, 6
Suppose -n**3/4 - n**2/2 + 4*n + 8 = 0. What is n?
-4, -2, 4
Factor 3*s**5/7 - 15*s**4/7 + 12*s**3/7.
3*s**3*(s - 4)*(s - 1)/7
Determine i, given that -77*i**4/5 - 8*i**3/5 + 81*i**2/5 + 8*i/5 - 4/5 = 0.
-1, -2/7, 2/11, 1
Determine s so that -3*s**4 - 12*s**3 - 9*s**2 = 0.
-3, -1, 0
Find k such that -4*k**3/7 - 36*k**2/7 + 39*k/7 - 10/7 = 0.
-10, 1/2
What is v in -4*v**5/3 + 88*v**4/3 + 100*v**3 = 0?
-3, 0, 25
Factor o**2/5 + 343*o/5 - 344/5.
(o - 1)*(o + 344)/5
Factor -2*o**5 - 76*o**4 - 640*o**3 + 1600*o**2.
-2*o**2*(o - 2)*(o + 20)**2
Determine r so that -3*r**3/8 + 5*r**2/4 + 7*r/8 - 15/4 = 0.
-5/3, 2, 3
Determine j, given that -6*j**5 - 15*j**4 + 18*j**3 + 24*j**2 - 12*j - 9 = 0.
-3, -1, -1/2, 1
Suppose 5*h**5/2 + 25*h**4/2 + 5*h**3 - 20*h**2 = 0. What is h?
-4, -2, 0, 1
Find y, given that 2*y**3 + 1200*y**2 + 182376*y + 710432 = 0.
-298, -4
Find m, given that -4*m**4 - 4*m**3 + 24*m**2 = 0.
-3, 0, 2
Let 14*m**4 - 52*m**3 - 410*m**2 + 1000*m + 3000 = 0. Calculate m.
-30/7, -2, 5
Suppose -l**3/3 + 14*l**2/3 + 23*l + 18 = 0. What is l?
-3, -1, 18
What is r in r**3 + r**2 - 2*r = 0?
-2, 0, 1
Factor -5*x**4 + 3960*x**3 - 1176120*x**2 + 155247840*x - 7684768080.
-5*(x - 198)**4
Determine b so that -b**4 - b**3 + b**2 + b = 0.
-1, 0, 1
Factor 3*y**2 + 914*y + 608.
(y + 304)*(3*y + 2)
Determine r, given that r**3 - 363*r + 2662 = 0.
-22, 11
Factor -92*q**2 - 156*q - 64.
-4*(q + 1)*(23*q + 16)
What is d in 3*d**3 + 51*d**2 - 240*d + 252 = 0?
-21, 2
Factor 3*n**4 - 6*n**2 + 3.
3*(n - 1)**2*(n + 1)**2
Let -k**2/7 - 206*k/7 - 205/7 = 0. What is k?
-205, -1
Factor -g**4 - 33*g**3 - 120*g**2 - 116*g.
-g*(g + 2)**2*(g + 29)
Factor -3*w**2/7 + 2637*w/7.
-3*w*(w - 879)/7
Factor -25*t**4 + 370*t**3 + 1516*t**2 - 1384*t + 288.
-(t - 18)*(t + 4)*(5*t - 2)**2
Determine s so that -s**4/6 + s**3/6 + 5*s**2/2 + 23*s/6 + 5/3 = 0.
-2, -1, 5
What is q in -5*q**4 + 50*q**3 + 435*q**2 + 700*q + 320 = 0?
-4, -1, 16
Find h such that -3*h**4 + 309*h**3 - 1203*h**2 + 1491*h - 594 = 0.
1, 2, 99
Find d, given that 4*d**2 - 62*d/13 - 420/13 = 0.
-30/13, 7/2
Solve 2*n**2 + 4*n - 30 = 0.
-5, 3
Find z such that 2*z**3/17 + 28*z**2/17 + 110*z/17 + 84/17 = 0.
-7, -6, -1
Determine b so that 12*b**4 + 656*b**3 + 2168*b**2 - 3856*b + 1020 = 0.
-51, -5, 1/3, 1
Factor -4*x**2/5 - 44*x - 424/5.
-4*(x + 2)*(x + 53)/5
Factor -l**5 + 22*l**3 - 24*l**2 - 45*l.
-l*(l - 3)**2*(l + 1)*(l + 5)
Factor 2*r**2/9 + 52*r/9.
2*r*(r + 26)/9
Let 33*n**3 + 229*n**2 - 14*n = 0. What is n?
-7, 0, 2/33
Factor -30*a**3 - 2*a**2 + 24*a + 8.
-2*(a - 1)*(3*a + 2)*(5*a + 2)
Factor 2*m**2/11 - 106*m/11 - 336/11.
2*(m - 56)*(m + 3)/11
Determine f so that -f**4/2 + 13*f**3/2 + 49*f**2/2 - 13*f/2 - 24 = 0.
-3, -1, 1, 16
Find m, given that -5*m**4 - 250*m**3 + 540*m**2 + 1000*m - 2080 = 0.
-52, -2, 2
Factor 10*x**3/7 + 6*x**2 - 16*x - 24/7.
2*(x - 2)*(x + 6)*(5*x + 1)/7
Find j such that -43*j**2/10 + 131*j/10 - 3/5 = 0.
2/43, 3
Suppose -65*u**4 + 315*u**3 - 470*u**2 + 180*u + 40 = 0. Calculate u.
-2/13, 1, 2
Let -r**5 + 4*r**4 - 2*r**3 - 4*r**2 + 3*r = 0. What is r?
-1, 0, 1, 3
What is t in -5*t**4 + 376*t**3 - 42064*t**2/5 + 252672*t/5 - 451584/5 = 0?
4, 168/5
Solve 3*r**4 - 33*r**3 - 9*r**2 + 93*r + 66 = 0.
-1, 2, 11
Factor -2*y**5/5 + 224*y**4/5 - 442*y**3/5 + 44*y**2.
-2*y**2*(y - 110)*(y - 1)**2/5
Factor 4*g**2 + 12488*g.
4*g*(g + 3122)
Factor -768*o**3/5 + 1824*o**2 + 1149*o/5 + 36/5.
-3*(o - 12)*(16*o + 1)**2/5
Factor -3*t**3 + 51*t**2 + 54*t.
-3*t*(t - 18)*(t + 1)
Find l such that -3*l**4 + 6*l**3 + 9*l**2 = 0.
-1, 0, 3
Find m such that -49*m**4/5 - 28*m**3/5 - 4*m**2/5 = 0.
-2/7, 0
Suppose y**3 + 10*y**2 + 13*y - 24 = 0. Calculate y.
-8, -3, 1
Factor r**3/8 + 19*r**2/8 + 17*r/4.
r*(r + 2)*(r + 17)/8
What is b in 3*b**5 - 891*b**4 + 1770*b**3 + 6*b**2 - 1773*b + 885 = 0?
-1, 1, 295
Factor g**2/3 + 29*g/3.
g*(g + 29)/3
Let 3*f**3/4 + 429*f**2/4 + 2445*f/4 - 2877/4 = 0. What is f?
-137, -7, 1
Factor 2*r**2/9 - 36*r - 326/9.
2*(r - 163)*(r + 1)/9
Let 2*n**3/11 - 224*n**2/11 + 654*n/11 = 0. Calculate n.
0, 3, 109
Let -81*s**3 + 594*s**2 - 1260*s + 600 = 0. What is s?
2/3, 10/3
Let -5*v**3 - 125*v**2 - 110*v + 240 = 0. What is v?
-24, -2, 1
Factor 3*j**2/2 + 165*j/2 + 306.
3*(j + 4)*(j + 51)/2
What is s in s**4 + 9*s**3 + 8*s**2 = 0?
-8, -1, 0
Let -5*u**2 - 18*u - 16 = 0. What is u?
-2, -8/5
Suppose -l**3 + 9*l**2 - 11*l - 21 = 0. Calculate l.
-1, 3, 7
Factor -4*l**2 - 672*l.
-4*l*(l + 168)
Find g, given that -54*g**2/7 - 3082*g/7 - 228/7 = 0.
-57, -2/27
Find w such that 3*w**2 - 12*w - 135 = 0.
-5, 9
Suppose -d**3/2 + 183*d**2/2 = 0. Calculate d.
0, 183
Solve -c**3 + 27*c**2 + 124*c = 0 for c.
-4, 0, 31
What is w in 5*w**5/4 + 25*w**4/4 + 5*w**3 = 0?
-4, -1, 0
Suppose n**4 + 36*n**3 + 243*n**2 - 1480*n + 1200 = 0. What is n?
-20, 1, 3
Factor -8*r**3 + 130*r**2 - 256*r + 56.
-2*(r - 14)*(r - 2)*(4*r - 1)
Solve 10*q**5 + 294*q**4 + 1616*q**3 + 3440*q**2 + 2976*q + 736 = 0.
-23, -2, -2/5
Factor -2*b**4/5 - 728*b**3/5 - 66972*b**2/5 - 131768*b/5 - 65522/5.
-2*(b + 1)**2*(b + 181)**2/5
Determine z, given that 36*z**5 - 195*z**4 + 177*z**3 + 309*z**2 - 153*z - 54 = 0.
-1, -1/4, 2/3, 3
Solve f**5/