+ 18*w/7 + 15/7 = 0.
-5, -1
Solve 27*w**2 + 9093*w - 2022 = 0 for w.
-337, 2/9
What is k in -3*k**4/2 - 147*k**3/2 + 231*k**2 - 156*k = 0?
-52, 0, 1, 2
What is y in -3*y**2/4 + 57*y/2 = 0?
0, 38
Factor 4*b**2 + 56*b - 60.
4*(b - 1)*(b + 15)
Determine a, given that -5*a**3 - 805*a**2 + 810*a = 0.
-162, 0, 1
Find h such that -h**5/8 + h**4/4 + 3*h**3/8 - h**2 + h/2 = 0.
-2, 0, 1, 2
Factor -3*v**2/7 + 864*v/7 - 62208/7.
-3*(v - 144)**2/7
Determine f so that -f**4/8 - 9*f**3/2 + 19*f**2/4 + 9*f/2 - 37/8 = 0.
-37, -1, 1
Factor -25*z**3 + 960*z**2 - 5180*z + 1920.
-5*(z - 32)*(z - 6)*(5*z - 2)
Let v**2/5 - 9094*v/5 + 20675209/5 = 0. Calculate v.
4547
Solve z**2/5 + 59*z/5 - 12 = 0.
-60, 1
Solve -2*t**5/5 + 302*t**4/5 - 3444*t**3/5 + 15228*t**2/5 - 30186*t/5 + 22518/5 = 0.
3, 139
Let j**3 - 17*j**2/4 + 9*j/2 = 0. Calculate j.
0, 2, 9/4
Let -4*a**2 - 44*a + 104 = 0. Calculate a.
-13, 2
Find m, given that 4*m**3 - 56*m**2 + 176*m - 160 = 0.
2, 10
Determine c so that 4*c**4 + 64*c**3 - 684*c**2 + 1944*c - 1728 = 0.
-24, 2, 3
Determine i so that -3*i**2/5 - 1482*i/5 - 1479/5 = 0.
-493, -1
Factor -h**3 + 15*h**2 - 48*h - 64.
-(h - 8)**2*(h + 1)
Suppose 35*f**5 - 550*f**4 + 2325*f**3 - 1250*f**2 - 5600*f - 1440 = 0. Calculate f.
-1, -2/7, 4, 9
Factor -3*r**3 - 6*r**2 + 3*r + 6.
-3*(r - 1)*(r + 1)*(r + 2)
Suppose -2*w**3/7 - 264*w**2/7 - 8712*w/7 = 0. What is w?
-66, 0
Solve -5*s**2 - 1845*s - 1840 = 0 for s.
-368, -1
Factor 5*k**3/3 - 46*k**2/9 + 4*k - 8/9.
(k - 2)*(3*k - 2)*(5*k - 2)/9
Factor 2*z**3/5 - 92*z**2/5 + 344*z/5 - 336/5.
2*(z - 42)*(z - 2)**2/5
Factor m**5/11 - m**4/11.
m**4*(m - 1)/11
Find g such that -5*g**3 + 270*g**2 - 3900*g + 6760 = 0.
2, 26
Factor -3*w**4/7 - 162*w**3/7.
-3*w**3*(w + 54)/7
Factor -2*k**4/15 - 8*k**3/5 - 14*k**2/5 + 196*k/15.
-2*k*(k - 2)*(k + 7)**2/15
Suppose 5*p**4/3 + 20*p**3/3 + 5*p**2/3 - 10*p = 0. What is p?
-3, -2, 0, 1
Suppose -4*b**4 + 14*b**3 + 36*b**2 - 26*b - 20 = 0. What is b?
-2, -1/2, 1, 5
Factor d**4/4 - 21*d**3/4 - 6*d**2 + 11*d.
d*(d - 22)*(d - 1)*(d + 2)/4
Let 5*h**2/3 - 11803*h/3 - 1574 = 0. Calculate h.
-2/5, 2361
Factor -4*m**3/9 - 108*m**2 - 1280*m/3 - 3824/9.
-4*(m + 2)**2*(m + 239)/9
Factor a**2/4 + 153*a/4.
a*(a + 153)/4
Factor 2*l**3/7 + 124*l**2/7.
2*l**2*(l + 62)/7
Solve -2*x**3/5 - 56*x**2/5 + 8*x/5 + 224/5 = 0.
-28, -2, 2
Factor 14*i**3 + 2110*i**2 - 4888*i + 1224.
2*(i - 2)*(i + 153)*(7*i - 2)
Factor -15*f**2/8 + 5589*f/4 - 2235/8.
-3*(f - 745)*(5*f - 1)/8
Let -2*r**3/17 - 2*r**2/17 + 42*r/17 + 90/17 = 0. Calculate r.
-3, 5
Find w such that w**5/4 + 181*w**4/4 + 3767*w**3/2 - 14807*w**2 + 30550*w - 17672 = 0.
-94, 1, 2, 4
Factor 2*v**5/3 - 2*v**4 + 4*v**3/3.
2*v**3*(v - 2)*(v - 1)/3
What is m in m**5/4 - 11*m**4/2 - 319*m**3/4 - 344*m**2 - 615*m - 396 = 0?
-4, -3, -2, 33
Suppose -20*l**3 + 188*l**2 - 72*l = 0. What is l?
0, 2/5, 9
What is s in 3*s**5 + 12*s**4 + 9*s**3 = 0?
-3, -1, 0
Let 4*r**2 + 80*r + 76 = 0. Calculate r.
-19, -1
Solve k**3 - 16*k**2 + 45*k + 162 = 0.
-2, 9
Factor t**2 - 17118*t + 73256481.
(t - 8559)**2
Factor h**4/9 + h**3/3 - h**2/9 - h/3.
h*(h - 1)*(h + 1)*(h + 3)/9
Factor -l**4 - 294*l**3 - 23569*l**2 - 288120*l - 960400.
-(l + 7)**2*(l + 140)**2
Let -5*w**4 + 9620*w**3 - 4627215*w**2 - 9620*w + 4627220 = 0. Calculate w.
-1, 1, 962
Solve 14*l**4/5 - 24*l**3/5 - 162*l**2/5 + 124*l/5 + 48/5 = 0.
-3, -2/7, 1, 4
Determine d so that -4*d**4 + 308*d**3 - 6080*d**2 + 5776*d = 0.
0, 1, 38
Determine v, given that -5*v**4/3 + 66*v**3 + 985*v**2/3 - 246*v - 440/3 = 0.
-5, -2/5, 1, 44
Factor 2*i**2/9 - 4*i + 34/9.
2*(i - 17)*(i - 1)/9
Suppose -2*u**5/11 - 10*u**4/11 + 44*u**3 - 912*u**2/11 = 0. What is u?
-19, 0, 2, 12
Find j such that 4*j**2 + 1028*j + 1024 = 0.
-256, -1
Solve -15*y**5 + 650*y**4 + 1125*y**3 = 0.
-5/3, 0, 45
Suppose -4*m**3 + 24*m**2 - 44*m + 24 = 0. Calculate m.
1, 2, 3
Factor -v**5/5 + 9*v**4/5 - 18*v**3/5.
-v**3*(v - 6)*(v - 3)/5
What is p in p**3/11 + 189*p**2/11 + 744*p/11 + 740/11 = 0?
-185, -2
Solve 2*v**5 + 32*v**4 - 310*v**3 + 276*v**2 = 0 for v.
-23, 0, 1, 6
Factor -4*x**4/15 + 50*x**3/3 - 1176*x**2/5 + 4806*x/5.
-2*x*(x - 9)**2*(2*x - 89)/15
Factor -38*c**3 - 270*c**2 + 308*c.
-2*c*(c - 1)*(19*c + 154)
Factor y**5 - 131*y**4 + 726*y**3 + 2974*y**2 + 3241*y + 1125.
(y - 125)*(y - 9)*(y + 1)**3
Find l such that -45*l**4 - 6945*l**3 - 2285*l**2 + 3845*l - 770 = 0.
-154, -1, 1/3
Solve -45*w**2 - 135*w + 50 = 0 for w.
-10/3, 1/3
Suppose 5*t**2 - 60*t - 1625 = 0. What is t?
-13, 25
Solve -4*y**3 + 96*y**2 + 4*y - 96 = 0.
-1, 1, 24
Factor -5*u**5 + 310*u**4 - 6105*u**3 + 40300*u**2 - 84500*u.
-5*u*(u - 26)**2*(u - 5)**2
Factor j**3/3 + 13*j**2/3 + 32*j/3 + 20/3.
(j + 1)*(j + 2)*(j + 10)/3
Factor w**3/6 - 4*w**2/3 - 3*w/2.
w*(w - 9)*(w + 1)/6
Factor 6*r**4 - 34*r**3 - 102*r**2 - 78*r - 16.
2*(r - 8)*(r + 1)**2*(3*r + 1)
Factor 5*q**2 + 135*q - 800.
5*(q - 5)*(q + 32)
Factor -572*v**2/5 - 1714*v/5 + 6/5.
-2*(v + 3)*(286*v - 1)/5
Find d, given that 5618*d**2 + 14416*d + 9248 = 0.
-68/53
Factor 4*d**2/7 + 4*d/7.
4*d*(d + 1)/7
Find q such that -206*q**3/11 - 424*q**2/11 - 24*q/11 = 0.
-2, -6/103, 0
Solve -4*j**2 + 76*j - 72 = 0 for j.
1, 18
Solve -2*c**3/9 - 2*c**2 - 28*c/9 = 0 for c.
-7, -2, 0
Solve 4*w**2 + 376*w - 2828 = 0 for w.
-101, 7
Solve -2*a**5 + 4*a**4 - 2*a**3 = 0 for a.
0, 1
Determine h, given that -8*h**5 + 4*h**4 + 111*h**3/2 - 76*h**2 + 55*h/2 - 3 = 0.
-3, 1/4, 1, 2
Suppose 8*w**3 + 530*w**2 + 652*w + 130 = 0. What is w?
-65, -1, -1/4
Let x**4/2 + 11*x**3/4 - 11*x**2/4 - 95*x/4 - 75/4 = 0. What is x?
-5, -5/2, -1, 3
Find u, given that -u**2/2 - 217*u + 436 = 0.
-436, 2
Factor -2*t**3 + 7482*t**2 - 9330054*t + 3878192446.
-2*(t - 1247)**3
Factor f**5/4 + 3*f**4/2 + f**3/2 - 9*f**2 - 27*f/4 + 27/2.
(f - 2)*(f - 1)*(f + 3)**3/4
Determine j so that -2*j**4/5 - 208*j**3/5 - 5408*j**2/5 = 0.
-52, 0
What is t in t**4 + 53*t**3 + 150*t**2 - 4*t - 200 = 0?
-50, -2, 1
Find s, given that 3*s**3 - 1404*s**2 + 219024*s - 11389248 = 0.
156
Factor -4*c**3 + 192*c - 512.
-4*(c - 4)**2*(c + 8)
Factor -4*k**3 + 8*k**2 + 28*k + 16.
-4*(k - 4)*(k + 1)**2
Solve s**4 - 2*s**3 - 7*s**2 - 4*s = 0 for s.
-1, 0, 4
What is u in -2*u**3/9 + 94*u**2/3 - 92*u = 0?
0, 3, 138
Suppose -i**4/2 + i**3/2 + 4*i**2 - 6*i = 0. Calculate i.
-3, 0, 2
Suppose -r**3/6 + 47*r**2/3 - 185*r/6 + 46/3 = 0. What is r?
1, 92
Solve -8*i**4 - 2552*i**3 - 204794*i**2 - 202884*i - 50562 = 0 for i.
-159, -1/2
Factor -v**2/8 + 11*v/8.
-v*(v - 11)/8
Factor 2*n**4 - 214*n**3 - 878*n**2 - 1106*n - 444.
2*(n - 111)*(n + 1)**2*(n + 2)
Determine i, given that -5*i**4 + 165*i**3 + 350*i**2 = 0.
-2, 0, 35
Solve 2*y**4/5 + 18*y**3/5 + 6*y**2 + 14*y/5 = 0 for y.
-7, -1, 0
Find w, given that -2*w**3/5 - 78*w**2/5 - 30*w - 74/5 = 0.
-37, -1
Suppose 2*p**2/5 - 12*p/5 - 54/5 = 0. Calculate p.
-3, 9
Solve -l**4 - 40*l**3 - 25*l**2 + 570*l + 936 = 0.
-39, -3, -2, 4
Factor -180*p**3 + 3720*p**2 + 1255*p + 105.
-5*(p - 21)*(6*p + 1)**2
Let -18*m**2 + 2596*m - 576 = 0. What is m?
2/9, 144
Factor -5*w**5 - 115*w**4 - 840*w**3 - 2240*w**2 - 640*w + 3840.
-5*(w - 1)*(w + 4)**3*(w + 12)
Solve q**4/4 - q**3/2 - 3*q**2/4 + 2*q - 1 = 0 for q.
-2, 1, 2
Let -5*m**4/4 + 4315*m**3/2 - 1242000*m**2 + 477753125*m/2 - 950546875/4 = 0. Calculate m.
1, 575
Let -2*a**3 + 54*a**2/5 - 16*a + 24/5 = 0. Calculate a.
2/5, 2, 3
Suppose 2*d**5 - 170*d**4 - 700*d**3 - 1060*d**2 - 710*d - 178 = 0. Calculate d.
-1, 89
Factor 4*f**2/9 - 136*f/9 + 352/3.
4*(f - 22)*(f - 12)/9
Let 2*t**5/13 + 178*t**4/13 - 14*t**3 - 178*t**2/13 + 180*t/13 = 0. What is t?
-90, -1, 0, 1
Factor -2*v**3/9 - 10*v**2/9 + 2*v/9 + 10/9.
-2*(v - 1)*(v + 1)*(v + 5)/9
Let 7*s**3 + 20*s**2 - 199*s + 28 = 0. Calculate s.
-7, 1/7, 4
Factor -2*j**3/5 - 2*j**2/5 + 1066*j/5 - 9126/5.
-2*(j - 13)**2*(j + 27)/5
Determine r so that -r**4/4 + 9*r**3/2 - 22*r**2 + 63*r/2 - 55/4 = 0.
1, 5, 11
What is o in -o**3/3 - 104*o**2/3 - 2704*o/3 = 0?
-52, 0
Suppose 2*g**2 + 332*g + 330 = 0. Calculate g.
-165, -1
Factor 125*v**2/4 + 562*v - 9.
(v + 18)*(125*v - 2)/4
Factor -4*p**4 - 292*p**3 - 5472*p**2 - 5184*p.
-4*p*(p + 1)*(p + 36)**2
Factor -5*n**4 + 50*n**3 - 165*n**2 + 200*n - 80.
-5*(n - 4)**2*(n - 1)**2
Solve -3*i**2 + 3*i + 6 = 0 for i.
-1, 2
Let -14*r**4/13 - 514*r**3/13 - 846*r**2/1