0
Factor -5*a**4 + 10*a**3 + 75*a**2 - 180*a.
-5*a*(a - 3)**2*(a + 4)
Solve 3*j**2/8 - 822*j + 450456 = 0.
1096
Find z such that -2*z**4/21 - 44*z**3/21 + 2*z**2/21 + 44*z/21 = 0.
-22, -1, 0, 1
Determine k so that 14*k**2/3 - 142*k - 2240/3 = 0.
-32/7, 35
Factor -61206*a**2/5 - 3636*a/5 - 54/5.
-6*(101*a + 3)**2/5
Factor -m**2 - 495*m + 496.
-(m - 1)*(m + 496)
Factor 5*a**2 - 10610*a + 5628605.
5*(a - 1061)**2
Determine w, given that 18*w**5 - 138*w**4 + 230*w**3 + 178*w**2 - 176*w + 32 = 0.
-1, 1/3, 4
Determine b, given that -b**5/4 + 6*b**4 - 5*b**3 - 37*b**2/2 + 117*b/4 - 23/2 = 0.
-2, 1, 23
Suppose 3*j**5 - 21*j**4 - 120*j**3 - 132*j**2 = 0. Calculate j.
-2, 0, 11
Solve 36*b**3/7 + 16*b**2/7 - 36*b/7 - 16/7 = 0.
-1, -4/9, 1
Determine i so that -2*i**3/3 - 136*i**2/9 + 346*i/9 - 100/9 = 0.
-25, 1/3, 2
Suppose -x**4/4 + x**3/4 + x**2/2 = 0. What is x?
-1, 0, 2
Determine m so that -4*m**3 + 3932*m**2 + 7892*m - 11820 = 0.
-3, 1, 985
Factor -4*p**2/3 + 49*p/3 - 4.
-(p - 12)*(4*p - 1)/3
Suppose 3*y**4 - 15*y**3 - 66*y**2 + 348*y - 360 = 0. What is y?
-5, 2, 6
Suppose -2*t**5/7 - 116*t**4/7 + 4*t**3/7 + 232*t**2/7 - 2*t/7 - 116/7 = 0. Calculate t.
-58, -1, 1
Suppose 3*m**2/4 - 639*m/4 - 321/2 = 0. Calculate m.
-1, 214
Determine v so that 2*v**5/3 - 164*v**4/3 + 262*v**3 - 1240*v**2/3 + 616*v/3 = 0.
0, 1, 2, 77
Factor -5*l**2 + 9500*l - 4512500.
-5*(l - 950)**2
Let -3*x**2/5 + 102*x/5 - 867/5 = 0. Calculate x.
17
Factor -3*h**5/4 + 21*h**4.
-3*h**4*(h - 28)/4
Suppose s**5 + s**4 - 3*s**3 - s**2 + 2*s = 0. Calculate s.
-2, -1, 0, 1
Factor -5*w**3 - 2325*w**2 - 271440*w - 269120.
-5*(w + 1)*(w + 232)**2
Solve 4*b**3/7 - 12*b**2 + 440*b/7 = 0.
0, 10, 11
Solve -g**4 + 11*g**3 - 38*g**2 + 52*g - 24 = 0.
1, 2, 6
Factor -z**4/4 - 447*z**3/4.
-z**3*(z + 447)/4
Factor -5*f**4 - 150*f**3 - 1125*f**2 - 2500*f.
-5*f*(f + 5)**2*(f + 20)
Factor 2795*i**5/3 - 40*i**4/3 - 20*i**3.
5*i**3*(13*i - 2)*(43*i + 6)/3
Suppose 4*d**3 - 96*d**2 - 4*d + 96 = 0. What is d?
-1, 1, 24
Factor 3*z**3/4 - 9*z**2/2 - 3*z/4 + 9/2.
3*(z - 6)*(z - 1)*(z + 1)/4
Let -n**5/5 + 408*n**4/5 - 55892*n**3/5 + 525042*n**2 - 1498095*n + 984150 = 0. Calculate n.
1, 2, 135
Factor 3*z**3 - 81*z**2 - 588*z + 3456.
3*(z - 32)*(z - 4)*(z + 9)
Factor -2*z**4 + 130*z**3 + 2*z**2 - 130*z.
-2*z*(z - 65)*(z - 1)*(z + 1)
Let -15*r**3/7 + 897*r**2/7 - 705*r/7 - 177/7 = 0. What is r?
-1/5, 1, 59
Find m such that -22*m**2/3 - 3310*m/3 + 604 = 0.
-151, 6/11
Suppose -2*p**3 + 76*p**2 - 74*p = 0. What is p?
0, 1, 37
Let y**2/6 - 497*y/3 = 0. Calculate y.
0, 994
Factor -c**3/3 - 101*c**2/3 - 992*c/3 + 88412/3.
-(c - 23)*(c + 62)**2/3
Factor 4*s**2/15 + 634*s/15 - 106/5.
2*(s + 159)*(2*s - 1)/15
Solve -8*b**4 + 46*b**3 - 28*b**2 - 10*b = 0.
-1/4, 0, 1, 5
Find l, given that -2*l**5/3 + 40*l**4 + 1928*l**3/3 + 10336*l**2/3 + 7808*l + 18944/3 = 0.
-4, -2, 74
Find p such that 2*p**2/15 + 136*p/3 + 11560/3 = 0.
-170
What is t in 3*t**2/7 - 96*t/7 + 99 = 0?
11, 21
Factor -5*y**2/3 + 130*y/3 - 275.
-5*(y - 15)*(y - 11)/3
Suppose -3*j**3 - 306*j**2 - 10404*j - 117912 = 0. What is j?
-34
Determine i so that i**5 + 14*i**4 + 68*i**3 + 130*i**2 + 75*i = 0.
-5, -3, -1, 0
Factor 2*q**4 + 4*q**3 - 110*q**2 - 112*q.
2*q*(q - 7)*(q + 1)*(q + 8)
Factor -2*x**3/5 - 28*x**2/5 - 26*x/5.
-2*x*(x + 1)*(x + 13)/5
Factor o**4/2 + 3*o**3 + 6*o**2 + 5*o + 3/2.
(o + 1)**3*(o + 3)/2
Suppose -3*b**4/4 - 225*b**3/4 - 2049*b**2/2 + 1197*b + 2166 = 0. What is b?
-38, -1, 2
Solve -14*i**5 - 316*i**4 - 1534*i**3 + 904*i**2 + 960*i = 0.
-15, -8, -4/7, 0, 1
Let k**2/7 + 61*k/7 = 0. What is k?
-61, 0
Suppose s**3/3 - s**2/3 - 3*s + 3 = 0. Calculate s.
-3, 1, 3
Factor n**3 + 4524*n**2 + 6822192*n + 3429288512.
(n + 1508)**3
Factor 2*b**4/3 - 194*b**3/3 + 920*b**2/3.
2*b**2*(b - 92)*(b - 5)/3
Factor s**4/5 - 19*s**3/5 + 64*s**2/5 - 12*s.
s*(s - 15)*(s - 2)**2/5
Find v such that -14*v**4/11 + 38*v**3/11 - 16*v**2/11 - 8*v/11 = 0.
-2/7, 0, 1, 2
Factor -2*x**2/3 - 124*x - 5766.
-2*(x + 93)**2/3
Factor -3*f**3/8 + 9*f**2/8 + 27*f/4.
-3*f*(f - 6)*(f + 3)/8
Determine q so that 4*q**2 + 600*q = 0.
-150, 0
Suppose 3*s**5 + 369*s**4 - 747*s**3 + 375*s**2 = 0. Calculate s.
-125, 0, 1
Factor c**2 - 8*c - 9.
(c - 9)*(c + 1)
What is p in -75*p**5 + 120*p**4 + 1044*p**3 + 1122*p**2 + 183*p - 90 = 0?
-2, -1, -3/5, 1/5, 5
Solve -a**3/2 + 83*a**2/2 - 195*a = 0.
0, 5, 78
Factor 3*m**4/2 + 18*m**3 - 81*m**2/2 + 21*m.
3*m*(m - 1)**2*(m + 14)/2
Factor -3*s**3 + 72*s**2 - 465*s + 396.
-3*(s - 12)*(s - 11)*(s - 1)
Factor 2*b**2 + 62*b + 60.
2*(b + 1)*(b + 30)
Solve 3*t**5 + 12*t**4 - 3*t**3 - 48*t**2 - 36*t = 0 for t.
-3, -2, -1, 0, 2
What is h in 5*h**2 - 90*h + 405 = 0?
9
What is q in q**2/2 + 29*q + 841/2 = 0?
-29
Suppose -64*n**4 - 96*n**3 + 252*n**2 - 108*n = 0. What is n?
-3, 0, 3/4
Factor -4*b**3 - 592*b**2/3 - 7100*b/3 + 5000/3.
-4*(b + 25)**2*(3*b - 2)/3
Factor -3*m**3 - m**2 + 398*m - 264.
-(m - 11)*(m + 12)*(3*m - 2)
Factor i**2 + 265*i + 264.
(i + 1)*(i + 264)
Determine q so that 6*q**4 + 9*q**3 - 9*q**2 - 6*q = 0.
-2, -1/2, 0, 1
What is b in 2*b**2/13 - 8016*b/13 + 8032032/13 = 0?
2004
Solve -g**3 + 8*g**2 - 20*g + 16 = 0.
2, 4
Factor 3*g**3 + 297*g**2 - 606*g.
3*g*(g - 2)*(g + 101)
Let 20*m**5 + 312*m**4 + 1432*m**3 + 1616*m**2 + 84*m - 392 = 0. Calculate m.
-7, -1, 2/5
Determine j so that -3*j**2 = 0.
0
Find u, given that 5*u**4 - 2465*u**3 + 4915*u**2 - 2455*u = 0.
0, 1, 491
Factor 2*l**5/3 - 4*l**4 + 16*l**3/3 + 4*l**2/3 - 6*l + 8/3.
2*(l - 4)*(l - 1)**3*(l + 1)/3
Let 5*z**4 + 455*z**3 + 12735*z**2 + 103545*z + 91260 = 0. What is z?
-39, -12, -1
Let -4*x**4 + 16*x**3 - 4*x**2 - 24*x = 0. Calculate x.
-1, 0, 2, 3
Suppose -m**2/3 - 1180*m/3 - 348100/3 = 0. What is m?
-590
Suppose q**4/3 - 19*q**3/3 + 31*q**2/3 + 17*q = 0. What is q?
-1, 0, 3, 17
Factor -t**3/4 + 963*t**2/2 - 309123*t + 66152322.
-(t - 642)**3/4
Factor -10*h**3/3 + 26*h**2/3 - 8*h/3 - 8/3.
-2*(h - 2)*(h - 1)*(5*h + 2)/3
Find l such that -6*l**3 + 28*l**2 - 34*l + 12 = 0.
2/3, 1, 3
Find l, given that 15*l**5 + 55*l**4 + 10*l**3 - 70*l**2 - 25*l + 15 = 0.
-3, -1, 1/3, 1
What is y in -y**4/4 + 3*y**3 + 21*y**2/4 - 23*y - 39 = 0?
-2, 3, 13
Factor -2*w**2/5 - 42*w/5 - 136/5.
-2*(w + 4)*(w + 17)/5
Factor 20*d**2 + 215*d - 55.
5*(d + 11)*(4*d - 1)
Find m such that -2*m**2/5 - 274*m/5 = 0.
-137, 0
Factor h**3/2 + 4*h**2 + 5*h/2 - 7.
(h - 1)*(h + 2)*(h + 7)/2
Solve n**5 + 4*n**4 = 0 for n.
-4, 0
Let -2*p**4 - 262*p**3/7 - 596*p**2/7 + 2712*p/7 - 720/7 = 0. What is p?
-15, -6, 2/7, 2
What is m in m**4 - 134*m**3 - 408*m**2 - 410*m - 137 = 0?
-1, 137
Find m, given that 2*m**5 + 140*m**4 - 288*m**3 + 4*m**2 + 286*m - 144 = 0.
-72, -1, 1
Factor 5*m**3 - 645*m**2 + 20475*m + 21125.
5*(m - 65)**2*(m + 1)
Factor o**2/2 + 1351*o + 2701/2.
(o + 1)*(o + 2701)/2
Determine s, given that s**3/4 - 11*s**2/4 + 15*s/2 = 0.
0, 5, 6
Factor -80*v**4 + 1440*v**3 - 9720*v**2 + 29160*v - 32805.
-5*(2*v - 9)**4
What is f in -f**5/2 - 5*f**4/2 + 33*f**3/2 - 31*f**2/2 - 16*f + 18 = 0?
-9, -1, 1, 2
Suppose -7*o**3 + 159*o**2 + 214*o + 48 = 0. Calculate o.
-1, -2/7, 24
Let z**4/4 - 5*z**3 + 75*z**2/2 - 125*z + 625/4 = 0. Calculate z.
5
Find h such that 4*h**3 + 56*h**2 - 60*h = 0.
-15, 0, 1
Factor 7*c**2/8 - 41*c/4 - 3.
(c - 12)*(7*c + 2)/8
Determine c so that -c**2/6 + 20*c/3 + 41/6 = 0.
-1, 41
Factor 21*m**4 + 102*m**3 + 153*m**2 + 60*m - 12.
3*(m + 1)*(m + 2)**2*(7*m - 1)
Find s, given that -3*s**3 - 2694*s**2 + 2703*s + 5394 = 0.
-899, -1, 2
Suppose i**5/3 + 659*i**4/3 + 110206*i**3/3 + 179742*i**2 + 250155*i + 106929 = 0. Calculate i.
-327, -3, -1
Factor -5*c**3/2 + 85*c**2 - 325*c/2 + 80.
-5*(c - 32)*(c - 1)**2/2
Factor 4*q**3/3 + 10500*q**2 + 27562500*q + 24117187500.
4*(q + 2625)**3/3
Factor o**3/4 - 13*o**2/2 + 49*o/4 - 6.
(o - 24)*(o - 1)**2/4
Solve -38088*f**2/5 - 552*f/5 - 2/5 = 0 for f.
-1/138
Factor -3*p**2 - 3528*p + 7068.
-3*(p - 2)*(p + 1178)
What is h in -3*h**3 + 4440*h**2 - 1642800*h = 0?
0, 740
What is w in w**4/3 + 2*w**3 - w**2 - 56*w/3 - 16 = 0?
-4, -1, 3
What is v in v**3 - 27*v**2 + 110*v + 336 = 0?
-2, 8, 21
Let -q**2/2 + 11*q/2 - 15 = 0. What is q?
5, 6
Solve -x**3 + 52*x**2 - 285*x + 414 = 0 for x.
3, 46
Factor -16*g**4 - 20*g**3 + 16*g**2 + 20*g.
-4*g*(g - 1)*(g + 1)*(4*g + 5)
Factor 3*i**3 +