1
What is k in -18*k**4 + 68*k**3 + 826*k**2 + 180*k = 0?
-5, -2/9, 0, 9
Determine m, given that 2*m**5/5 + 36*m**4/5 + 232*m**3/5 + 116*m**2 + 30*m - 200 = 0.
-5, -4, 1
Find a, given that 3*a**2 - 180*a + 2700 = 0.
30
Factor r**2/4 + 11*r.
r*(r + 44)/4
Factor 15*b**3/8 - 21*b**2/8 - 69*b/4 - 9.
3*(b - 4)*(b + 2)*(5*b + 3)/8
Suppose o**5/4 + 11*o**4 - 91*o**3/4 + 23*o**2/2 = 0. What is o?
-46, 0, 1
Factor 2*y**3/11 - 52*y**2/11 + 50*y/11.
2*y*(y - 25)*(y - 1)/11
Factor 3*a**3/7 + 27*a**2/7 + 54*a/7.
3*a*(a + 3)*(a + 6)/7
Find w such that 3*w**3 - 24*w**2 - 60*w = 0.
-2, 0, 10
Factor 3*k**2/7 + 276*k/7 - 855/7.
3*(k - 3)*(k + 95)/7
Determine n so that -5*n**4 + 45*n**3 + 330*n**2 + 280*n = 0.
-4, -1, 0, 14
Factor 3*g**2 + 159*g - 1464.
3*(g - 8)*(g + 61)
Factor 4*b**2 + 8*b - 96.
4*(b - 4)*(b + 6)
Factor r**3/4 - 2*r**2 - 5*r.
r*(r - 10)*(r + 2)/4
Determine u, given that u**5/10 - 7*u**4/5 + 38*u**3/5 - 99*u**2/5 + 243*u/10 - 54/5 = 0.
1, 3, 4
Factor -x**2/2 + 3*x/2 + 20.
-(x - 8)*(x + 5)/2
Find k, given that -6*k**3/7 + 44*k**2/7 - 74*k/7 + 20/7 = 0.
1/3, 2, 5
Find d, given that -9*d**3 - 15*d**2 + 18*d + 24 = 0.
-2, -1, 4/3
Solve -3*y**3/8 - 417*y**2/8 - 207*y/4 = 0 for y.
-138, -1, 0
Factor -2*a**2/3 + 3364*a.
-2*a*(a - 5046)/3
Find c such that 162*c**3 - 126*c**2 - 52*c + 16 = 0.
-4/9, 2/9, 1
Suppose 2*s**2/9 + 172*s/3 + 3698 = 0. What is s?
-129
Determine k so that -4*k**3/7 + 24*k**2/7 + 124*k/7 - 144/7 = 0.
-4, 1, 9
Solve -j**4/5 - 22*j**3/5 - 157*j**2/5 - 396*j/5 - 324/5 = 0 for j.
-9, -2
Factor z**2/2 + 1643*z + 2699449/2.
(z + 1643)**2/2
What is w in 2*w**5 - 78*w**4 + 916*w**3 - 1624*w**2 - 21168*w + 21952 = 0?
-4, 1, 14
Factor -9*i**2 + 480*i - 159.
-3*(i - 53)*(3*i - 1)
Determine d so that 18*d**2 - 184*d + 320 = 0.
20/9, 8
Find l such that l**3 + 14*l**2 + 13*l = 0.
-13, -1, 0
Suppose -22*t**4 + 54*t**3 - 30*t**2 - 14*t + 12 = 0. What is t?
-6/11, 1
Factor -2*q**4/3 - 20*q**3 - 506*q**2/3 - 280*q - 392/3.
-2*(q + 1)**2*(q + 14)**2/3
Solve q**3/3 - 9*q**2 = 0 for q.
0, 27
Factor -2*v**2 - 6534*v - 6532.
-2*(v + 1)*(v + 3266)
Determine t, given that t**3/5 + 11*t**2 - 296*t/5 + 48 = 0.
-60, 1, 4
Factor -15*a**2 - 7435*a - 4950.
-5*(a + 495)*(3*a + 2)
Let n**5 + 9*n**4 + 11*n**3 - 25*n**2 - 24*n + 28 = 0. What is n?
-7, -2, 1
Factor 2*w**2 + 76*w + 722.
2*(w + 19)**2
Let -c**4 - 23*c**3 - 41*c**2 + 23*c + 42 = 0. What is c?
-21, -2, -1, 1
Factor -6*y**3/7 + 36*y**2/7 + 6*y.
-6*y*(y - 7)*(y + 1)/7
Suppose -28*g**5 + 104*g**4 + 200*g**3 - 64*g**2 - 172*g - 40 = 0. Calculate g.
-1, -2/7, 1, 5
Factor 5*o**5 + 20*o**4 - 5*o**3 - 20*o**2.
5*o**2*(o - 1)*(o + 1)*(o + 4)
Factor m**3/4 + 559*m**2/4 - 1121*m/4 + 561/4.
(m - 1)**2*(m + 561)/4
Factor g**4/5 + 2*g**3/5 - g**2/5 - 2*g/5.
g*(g - 1)*(g + 1)*(g + 2)/5
Let 3*x**2 + 42*x + 99 = 0. What is x?
-11, -3
Factor -2*k**4/3 + 2*k**3/3 + 8*k**2/3 - 8*k/3.
-2*k*(k - 2)*(k - 1)*(k + 2)/3
Factor -2*i**3 - 56*i**2 - 154*i - 100.
-2*(i + 1)*(i + 2)*(i + 25)
Suppose 3*a**5/2 - 3*a**4/2 - 69*a**3/2 - 117*a**2/2 - 27*a = 0. What is a?
-3, -1, 0, 6
Suppose 2*m**2/7 + 50*m/7 - 52/7 = 0. Calculate m.
-26, 1
Factor 2*t**5 + 12*t**4 + 18*t**3 + 8*t**2.
2*t**2*(t + 1)**2*(t + 4)
Determine a so that 375*a**5/2 + 600*a**4 + 540*a**3 + 192*a**2 + 24*a = 0.
-2, -2/5, 0
Factor 4*z**3 - 28*z**2 + 64*z - 48.
4*(z - 3)*(z - 2)**2
Solve 4*s**2/3 - 2116*s/3 + 4216/3 = 0.
2, 527
Suppose -5*m**4 + 140*m**3 - 1350*m**2 + 4860*m - 3645 = 0. What is m?
1, 9
Factor -5*o**4 + 80*o**3 - 65*o**2 - 150*o.
-5*o*(o - 15)*(o - 2)*(o + 1)
Let -n**3/8 - 3*n**2/4 + n/8 + 15/4 = 0. What is n?
-5, -3, 2
Determine v, given that 45*v**5 + 930*v**4 - 1330*v**3 - 200*v**2 + 445*v + 110 = 0.
-22, -1/3, 1
Factor 2*f**4/7 - 90*f**3/7 + 204*f**2 - 1288*f + 2352.
2*(f - 14)**3*(f - 3)/7
Solve -m**3/6 + 4*m**2/3 - m/6 - 7 = 0 for m.
-2, 3, 7
Find r such that 5*r**4 + 135*r**3 - 160*r**2 - 540*r + 560 = 0.
-28, -2, 1, 2
Find z, given that -12*z**4 + 15*z**3 + 45*z**2 - 60*z + 12 = 0.
-2, 1/4, 1, 2
Factor -w**5 + w**4 + 5*w**3 + 3*w**2.
-w**2*(w - 3)*(w + 1)**2
Suppose 4*c**4/9 - 41*c**3/9 + 86*c**2/9 + 101*c/9 - 10/3 = 0. What is c?
-1, 1/4, 5, 6
Factor -4*r**4 + 256*r**3 + 524*r**2 + 264*r.
-4*r*(r - 66)*(r + 1)**2
Solve -702*b**4/5 + 1419*b**3 - 11964*b**2/5 + 204*b + 288/5 = 0 for b.
-3/26, 2/9, 2, 8
Solve 2*h**2 + 34*h - 36 = 0 for h.
-18, 1
Factor 2*b**4/3 + 80*b**3/9 + 44*b**2 + 96*b + 78.
2*(b + 3)**3*(3*b + 13)/9
Suppose -z**2/3 + 46*z/3 = 0. Calculate z.
0, 46
Solve 4*k**4 + 36*k**3 - 256*k**2 - 624*k = 0.
-13, -2, 0, 6
Factor -2*u**3/3 - 1208*u**2 - 729632*u - 440697728/3.
-2*(u + 604)**3/3
Factor -s**3/5 - 44*s**2/5 - 112*s - 320.
-(s + 4)*(s + 20)**2/5
Factor -3*r**4 - 291*r**3 - 6291*r**2 + 37179*r - 46818.
-3*(r - 3)*(r - 2)*(r + 51)**2
Solve 4*p**3 - 676*p**2 - 2752*p - 2768 = 0 for p.
-2, 173
Factor o**3/7 + 65*o**2/7.
o**2*(o + 65)/7
Find l, given that -3*l**2/2 - 57*l/2 = 0.
-19, 0
Let 6*r**5 + 243*r**4 - 639*r**3 + 258*r**2 = 0. Calculate r.
-43, 0, 1/2, 2
Find c, given that -15*c**4 - 815*c**3 - 11195*c**2 - 3105*c + 7290 = 0.
-27, -1, 2/3
Determine z, given that -128*z**4 - 8*z**3 + 1023*z**2/8 + 8*z + 1/8 = 0.
-1, -1/32, 1
Find w such that -5*w**3 - 25*w**2 + 30*w = 0.
-6, 0, 1
Factor -y**2 + 2279*y - 4554.
-(y - 2277)*(y - 2)
Factor -27*y**3 - 129*y**2 - 78*y + 24.
-3*(y + 1)*(y + 4)*(9*y - 2)
Find h such that -4*h**2 - 116*h = 0.
-29, 0
Factor -5*p**2 + 610*p.
-5*p*(p - 122)
Suppose -2*r**2 + 290*r - 288 = 0. Calculate r.
1, 144
Factor -4*i**4/5 - 964*i**3/5 - 5688*i**2/5 - 11312*i/5 - 1504.
-4*(i + 2)**3*(i + 235)/5
Find n, given that -n**5/4 - 3*n**4/2 - 5*n**3/2 + 11*n/4 + 3/2 = 0.
-3, -2, -1, 1
Solve -16*c**3/3 - 11708*c**2/3 + 14656*c/3 - 2932/3 = 0.
-733, 1/4, 1
Factor 4*i**2/3 - 172*i/3 + 328/3.
4*(i - 41)*(i - 2)/3
Factor -45*u**3/2 - 995*u**2 - 11110*u - 2420.
-5*(u + 22)**2*(9*u + 2)/2
Factor -3*l**3 - 15*l**2 - 18*l.
-3*l*(l + 2)*(l + 3)
Determine r, given that 2*r**4 + 90*r**3/7 - 354*r**2/7 + 382*r/7 - 132/7 = 0.
-66/7, 1
Factor -5*d**3 + 6*d**2 + 3*d - 4.
-(d - 1)**2*(5*d + 4)
Suppose 20*i**5 + 1425*i**4 + 33635*i**3 + 265200*i**2 + 64220*i = 0. Calculate i.
-26, -19, -1/4, 0
Factor -2*g**2/11 + 38*g/11 - 168/11.
-2*(g - 12)*(g - 7)/11
Factor -2*a**2/9 - 62*a/9 + 44/3.
-2*(a - 2)*(a + 33)/9
Suppose -5*z**5 - 80*z**4 - 195*z**3 = 0. Calculate z.
-13, -3, 0
Factor -5*h**2 - 15440*h - 11919680.
-5*(h + 1544)**2
Factor 2*h**3/9 + 896*h**2/9 + 890*h/9 - 596/3.
2*(h - 1)*(h + 2)*(h + 447)/9
Find v, given that -3*v**2 + 3*v + 36 = 0.
-3, 4
Factor -3*v**3/7 - 48*v**2/7 + 171*v/7.
-3*v*(v - 3)*(v + 19)/7
Factor 3*z**2/2 - 6*z.
3*z*(z - 4)/2
Factor -3*i**2/4 - 4761*i/4.
-3*i*(i + 1587)/4
Factor o**3/3 - 25*o**2/3 - 53*o/3 - 9.
(o - 27)*(o + 1)**2/3
Solve -3*o**2/7 + 3*o/7 + 60/7 = 0 for o.
-4, 5
Factor -4*o**2/5 - 56*o/5 - 32.
-4*(o + 4)*(o + 10)/5
What is i in -4*i**3/5 + 264*i**2 - 21780*i = 0?
0, 165
Factor -2*b**2 - 184*b + 186.
-2*(b - 1)*(b + 93)
Suppose -z**3/9 - 85*z**2/9 + 86*z/9 = 0. Calculate z.
-86, 0, 1
Solve z**2/5 - 2389*z/5 - 478 = 0 for z.
-1, 2390
Factor -a**2/9 - 244*a/9 - 484/9.
-(a + 2)*(a + 242)/9
Determine m so that -3*m**4 - 327*m**3 - 11988*m**2 - 151632*m - 139968 = 0.
-36, -1
Factor -15*p**3 + 500*p**2 - 1055*p - 930.
-5*(p - 31)*(p - 3)*(3*p + 2)
Let -20*h**5 - 135*h**4 - 230*h**3 + 15*h**2 + 250*h + 120 = 0. Calculate h.
-4, -2, -1, -3/4, 1
Find w, given that 2*w**4/5 - 444*w**3 - 6678*w**2/5 - 8*w/5 + 8904/5 = 0.
-2, 1, 1113
Factor -5*b**3/4 - 183*b**2/4 - 69*b + 35.
-(b + 2)*(b + 35)*(5*b - 2)/4
Determine d so that -63*d**5/8 + 285*d**4/4 + 651*d**3/4 + 72*d**2 - 159*d/8 - 33/4 = 0.
-1, -2/7, 1/3, 11
Let -j**5 + 3*j**4 + 2*j**3 - 6*j**2 - j + 3 = 0. What is j?
-1, 1, 3
Let 2*n**4 + 4*n**3 - 6*n**2 = 0. What is n?
-3, 0, 1
Find y, given that -15*y**5 + 54*y**4 - 36*y**3 - 24*y**2 = 0.
-2/5, 0, 2
Find u, given that 2*u**2/21 - 404*u/21 - 58/3 = 0.
-1, 203
Solve 5*w**4 - 15*w**3 + 5*w**2 + 15*w - 10 = 0 for w.
-1, 1, 2
Factor -5*j**4 - 25*j**3 + 35*j**2 + 25*j - 30.
-5*(j - 1)**2*(j + 1)*(j + 6)
Factor -3*b**3/5 + 1122*b**2/5.
-3*b**2*(b - 374)/5
Suppose 3*y**3 - 6*y**2 - 12*y + 24 = 0. Calculate y.
-2, 2
Solve -12*n**3 + 123*n**2 - 330*n + 75 = 0.
1/4, 5
Factor -3*w**4/7 - 9*w**3/7 + 7