*3/2 + 108*b**2 - 2*b = 0?
0, 2/107, 2
Factor 3*f**2 - 36*f - 135.
3*(f - 15)*(f + 3)
Let -81*b**4/7 + 165*b**3/7 + 2586*b**2/7 - 7872*b/7 + 288/7 = 0. Calculate b.
-6, 1/27, 4
Solve 3*q**4 + 30*q**3 + 45*q**2 - 30*q - 48 = 0.
-8, -2, -1, 1
Determine z, given that 56*z**5/3 - 68*z**4/3 - 884*z**3/3 - 928*z**2/3 + 80*z = 0.
-2, 0, 3/14, 5
Solve -4*l**5/3 + 232*l**4/3 - 3352*l**3/3 - 688*l**2/3 + 9628*l/3 + 6728/3 = 0 for l.
-1, 2, 29
Suppose 3*w**2 + 45*w + 78 = 0. Calculate w.
-13, -2
Solve -4*q**2 + 128*q + 132 = 0 for q.
-1, 33
Factor l**2/4 + 341*l/2 - 2055/4.
(l - 3)*(l + 685)/4
Determine k so that -2*k**3/9 - 14*k**2/9 + 46*k/3 - 26 = 0.
-13, 3
Find p such that -2*p**2/7 - 724*p/7 + 726/7 = 0.
-363, 1
Suppose c**5/4 - 11*c**4 + 83*c**3/2 - 61*c**2 + 161*c/4 - 10 = 0. What is c?
1, 40
Factor -2*c**4 + 122*c**3 - 684*c**2 + 1336*c - 880.
-2*(c - 55)*(c - 2)**3
What is d in -3*d**5/10 - 2*d**4 + 7*d**3/10 = 0?
-7, 0, 1/3
Find c, given that c**3/4 + 25*c**2 - 159*c = 0.
-106, 0, 6
Factor -4*i**3 + 528*i**2 - 10164*i - 521752.
-4*(i - 77)**2*(i + 22)
Factor -t**2/3 + 7*t/3 + 6.
-(t - 9)*(t + 2)/3
Factor u**3/3 - 263*u**2 + 51745*u + 156025/3.
(u - 395)**2*(u + 1)/3
Determine z so that 2*z**4 + 36*z**3 - 86*z**2 - 120*z = 0.
-20, -1, 0, 3
Factor -a**2/2 + 83*a/2.
-a*(a - 83)/2
Let -2*b**5/11 - 8*b**4/11 - 8*b**3/11 + 4*b**2/11 + 10*b/11 + 4/11 = 0. What is b?
-2, -1, 1
Let m**4/4 + 5*m**3 + 59*m**2/2 + 45*m + 81/4 = 0. Calculate m.
-9, -1
Factor -3*n**2/8 + 531*n/8 + 555.
-3*(n - 185)*(n + 8)/8
Suppose -1045*g**5 + 3880*g**4 - 3000*g**3 - 1120*g**2 - 80*g = 0. Calculate g.
-2/11, -2/19, 0, 2
Factor -2*h**3/3 - 682*h**2/3 + 4154*h/3 - 3470/3.
-2*(h - 5)*(h - 1)*(h + 347)/3
Factor -2*d**2/9 + 824*d/9 - 84872/9.
-2*(d - 206)**2/9
Find k, given that 6*k**5 - 52*k**4 + 98*k**3 + 76*k**2 - 80*k = 0.
-1, 0, 2/3, 4, 5
Suppose -2*b**2 - 30*b = 0. What is b?
-15, 0
Factor -w**5 - 12*w**4 - 32*w**3 + 48*w**2 + 144*w.
-w*(w - 2)*(w + 2)*(w + 6)**2
Let -20*r**3 - 105*r**2 - 105*r - 20 = 0. Calculate r.
-4, -1, -1/4
Factor 3*c**5 + 138*c**4 + 1956*c**3 + 8664*c**2 + 15360*c + 9600.
3*(c + 2)**3*(c + 20)**2
Solve 10*p**5 - 28*p**4 - 262*p**3/5 + 64*p**2/5 + 104*p/5 - 32/5 = 0 for p.
-1, 2/5, 4
Factor -2*n**5/13 + 852*n**4/13 - 2544*n**3/13 + 2540*n**2/13 - 846*n/13.
-2*n*(n - 423)*(n - 1)**3/13
Factor -i**5 - 30*i**4 - 28*i**3 + 30*i**2 + 29*i.
-i*(i - 1)*(i + 1)**2*(i + 29)
Find g, given that -4*g**2/7 - 348*g/7 - 344/7 = 0.
-86, -1
Suppose -4*l**5 - 44*l**4 - 64*l**3 + 304*l**2 + 320*l - 512 = 0. What is l?
-8, -4, -2, 1, 2
Determine m, given that -m**3/3 + 7*m**2 - 20*m/3 = 0.
0, 1, 20
Factor -2*g**4/5 + 2*g**3 - 14*g**2/5 + 6*g/5.
-2*g*(g - 3)*(g - 1)**2/5
What is i in -2*i**3/9 + 16*i**2/3 + 104*i/9 = 0?
-2, 0, 26
Find c, given that -9*c**4 - 93*c**3 + 69*c**2 + 33*c = 0.
-11, -1/3, 0, 1
Let -2*r**3/13 - 570*r**2/13 - 1132*r/13 = 0. Calculate r.
-283, -2, 0
Factor -3*z**2/5 - 216*z/5 + 219/5.
-3*(z - 1)*(z + 73)/5
Factor -z**3 + 13*z**2 - 35*z - 49.
-(z - 7)**2*(z + 1)
Find l such that -5*l**2 - 160*l - 155 = 0.
-31, -1
Factor -5*o**2 - 10*o + 400.
-5*(o - 8)*(o + 10)
Factor 2*j**2/11 - 72*j.
2*j*(j - 396)/11
Factor 2*v**4 - 325*v**3 + 12619*v**2 + 47725*v + 20667.
(v - 83)**2*(v + 3)*(2*v + 1)
Factor 4*j**2 - 152*j + 1444.
4*(j - 19)**2
Factor -2*j**2 + 68*j - 66.
-2*(j - 33)*(j - 1)
Factor -95*v**3 + 305*v**2 - 250*v + 40.
-5*(v - 2)*(v - 1)*(19*v - 4)
Find b, given that -4*b**2/5 + 2632*b/5 - 432964/5 = 0.
329
Factor 2*y**3/7 - 114*y**2/7 - 234*y/7 - 118/7.
2*(y - 59)*(y + 1)**2/7
Factor 3*h**2 - 1173*h - 1176.
3*(h - 392)*(h + 1)
Determine z, given that z**3/7 - 2315*z**2/7 + 661*z - 2313/7 = 0.
1, 2313
Find x, given that -5*x**4 - 45*x**3 + 210*x**2 + 1220*x + 1320 = 0.
-11, -2, 6
Factor x**5/3 + x**4 - 14*x**3/3 - 4*x**2 + 40*x/3.
x*(x - 2)**2*(x + 2)*(x + 5)/3
Factor -2*d**4/13 - 8*d**3/13 + 96*d**2/13 - 224*d/13 + 160/13.
-2*(d - 2)**3*(d + 10)/13
What is y in 3*y**2/5 + 81*y/5 = 0?
-27, 0
What is j in 5*j**5 - 140*j**4 + 975*j**3 + 140*j**2 - 980*j = 0?
-1, 0, 1, 14
Let -4*f**3/7 + 8*f**2/7 + 116*f/7 - 120/7 = 0. What is f?
-5, 1, 6
Factor -25*t**2 + 5860*t/3 - 260.
-5*(t - 78)*(15*t - 2)/3
Factor p**2 - 7*p + 6.
(p - 6)*(p - 1)
Factor h**3 + 818*h**2 + 167281*h.
h*(h + 409)**2
Factor 2*q**3 + 28*q**2 - 182*q + 152.
2*(q - 4)*(q - 1)*(q + 19)
Find v, given that -4*v**2 + 80*v + 2964 = 0.
-19, 39
Find i, given that 3*i**3 + 24*i**2 - 60*i = 0.
-10, 0, 2
Factor -2*v**2/13 + 98*v/13.
-2*v*(v - 49)/13
Let d**3/3 - 11*d**2/3 - 46*d/3 + 56/3 = 0. Calculate d.
-4, 1, 14
Factor 4*i**4/7 + 12*i**3/7 - 60*i**2/7 + 68*i/7 - 24/7.
4*(i - 1)**3*(i + 6)/7
Factor -b**2/9 - b - 14/9.
-(b + 2)*(b + 7)/9
Suppose -5*g**2/4 - 150*g = 0. What is g?
-120, 0
Factor 4*u**3 + 276*u**2 + 264*u - 544.
4*(u - 1)*(u + 2)*(u + 68)
Factor -2*z**3 + 494*z**2 - 982*z + 490.
-2*(z - 245)*(z - 1)**2
Let -m**3/3 + 1946*m**2 - 3786916*m + 7369338536/3 = 0. Calculate m.
1946
What is j in j**3 - 9*j**2 + 15*j - 7 = 0?
1, 7
Suppose 2*t**3 + 686*t**2 - 8*t - 2744 = 0. Calculate t.
-343, -2, 2
Suppose -2*q**5 + 598*q**4 + 6*q**3 - 1798*q**2 + 1196*q = 0. Calculate q.
-2, 0, 1, 299
Suppose 2*d**2/5 + 666*d/5 + 664/5 = 0. Calculate d.
-332, -1
Factor 4*d**3 + 48*d**2 + 108*d.
4*d*(d + 3)*(d + 9)
Factor l**5/2 - l**4 - 4*l**3.
l**3*(l - 4)*(l + 2)/2
Let -3*x**3/5 - 393*x**2/5 - 1158*x/5 - 768/5 = 0. What is x?
-128, -2, -1
Determine h so that 34*h**4 + 370*h**3 + 1316*h**2 + 1472*h - 192 = 0.
-4, -3, 2/17
Factor 2*d**5/7 + 144*d**4/7 + 216*d**3 + 4320*d**2/7.
2*d**2*(d + 6)**2*(d + 60)/7
Let 3*g**3 + 123*g**2/5 + 249*g/5 + 9 = 0. What is g?
-5, -3, -1/5
Determine b so that -b**4/2 + b**3/2 + 7*b**2/2 - b/2 - 3 = 0.
-2, -1, 1, 3
Find i such that 390*i**2 - 219*i/2 + 3 = 0.
2/65, 1/4
Factor 2*r**2/9 + 5624*r/9 + 3953672/9.
2*(r + 1406)**2/9
Factor 2*v**2 + 194*v + 380.
2*(v + 2)*(v + 95)
Suppose 14*i**5 + 122*i**4 + 272*i**3 - 88*i**2 - 448*i + 128 = 0. What is i?
-4, -2, 2/7, 1
Factor l**2.
l**2
Factor 3*x**2 + 15*x + 18.
3*(x + 2)*(x + 3)
Suppose 2*m**3 + 46*m**2 + 40*m - 88 = 0. What is m?
-22, -2, 1
Determine n so that -2*n**3/9 - 8*n**2/9 + 38*n/9 - 28/9 = 0.
-7, 1, 2
Factor -n**3/4 + 71*n**2/2 - 5313*n/4 + 4761.
-(n - 69)**2*(n - 4)/4
Let 16*r**5 - 500*r**4 - 948*r**3 + 764*r**2 + 932*r - 264 = 0. What is r?
-2, -1, 1/4, 1, 33
Determine f, given that 16*f**5 + 20*f**4 - 268*f**3 - 404*f**2 + 492*f + 144 = 0.
-3, -1/4, 1, 4
Let 27*n**4/4 - 315*n**3 + 13161*n**2/4 + 4815*n + 1653 = 0. What is n?
-2/3, 19, 29
What is p in 2*p**3 + 16*p**2 = 0?
-8, 0
Factor 2*j**2/11 - 32*j/11 + 120/11.
2*(j - 10)*(j - 6)/11
Let 16*a**3 - 4*a**2 - 16*a + 4 = 0. Calculate a.
-1, 1/4, 1
Let 3675*d**2/8 + 105*d/2 + 3/2 = 0. What is d?
-2/35
Let -2*n**3/5 - 36*n**2/5 + 122*n/5 - 84/5 = 0. What is n?
-21, 1, 2
Factor 3*a**4 + 36*a**3 - 702*a**2 - 4860*a + 54675.
3*(a - 9)**2*(a + 15)**2
Factor 2*w**2 + 24*w + 22.
2*(w + 1)*(w + 11)
Factor -3*m**2/4 - 9*m/4 + 15/2.
-3*(m - 2)*(m + 5)/4
Factor t**3 + 33*t**2 + 200*t.
t*(t + 8)*(t + 25)
Find h, given that -2*h**4/13 - 2*h**3/13 + 92*h**2/13 - 160*h/13 = 0.
-8, 0, 2, 5
Determine m so that -m**3/3 - 278*m**2/3 - 547*m - 816 = 0.
-272, -3
Suppose -2*p**2 + 92*p - 1058 = 0. Calculate p.
23
Suppose 3*w**2/8 + 513*w/8 - 519/4 = 0. Calculate w.
-173, 2
Factor 2*w**5 + 26*w**4 + 38*w**3 - 290*w**2 + 352*w - 128.
2*(w - 1)**3*(w + 8)**2
What is t in -121*t**5/6 - 1133*t**4/6 - 3667*t**3/6 - 1497*t**2/2 - 216*t - 18 = 0?
-3, -2/11
Factor 2*u**5/5 + 106*u**4/5 - 44*u**3.
2*u**3*(u - 2)*(u + 55)/5
Factor 3*y**2 + 61020*y + 310286700.
3*(y + 10170)**2
Determine p, given that -p**5/4 + 53*p**4/4 - 463*p**3/4 + 1459*p**2/4 - 434*p + 172 = 0.
1, 4, 43
Find u, given that -4*u**3 - 196*u**2 = 0.
-49, 0
Find p such that -p**2 - 75*p - 216 = 0.
-72, -3
Let d**2 - 109*d = 0. Calculate d.
0, 109
Factor 5*l**5 + 91100*l**4 + 663936800*l**3 + 2419385699200*l**2 + 4408120743942400*l + 3212638398185221120.
5*(l + 3644)**5
Solve -2*d**4 - 38*d**3 - 194*d**2 - 90*d + 324 = 0.
-9, -2, 1
Find w, given that 2*w**2/15 + 16*w/5 - 10/3 = 0.
-25, 1
Suppose -18*d**5 - 9492*d**4 - 1257674*d**3 - 1664264*d**2 - 553352*d = 0. Calculate d.
-263, -2/3, 0
Factor v**3 + 1338*v**2 + 2673*v + 1336.
(v +