 66*z - 56.
-(z - 4)*(z + 2)*(10*z - 7)
Factor -o**3/2 - 11*o**2 + o/2 + 11.
-(o - 1)*(o + 1)*(o + 22)/2
Determine v, given that -v**4/3 + 169*v**3/3 - 2292*v**2 - 22876*v/3 + 29584/3 = 0.
-4, 1, 86
Determine x, given that -x**4 - 41*x**3/3 + 17*x**2/3 + 41*x/3 - 14/3 = 0.
-14, -1, 1/3, 1
Factor -22*k**2/5 + 158*k/5 - 28/5.
-2*(k - 7)*(11*k - 2)/5
Solve p**3/7 + p**2 - 8*p/7 = 0 for p.
-8, 0, 1
Solve 3*w**4/4 + 21*w**3 - 8487*w**2/4 = 0.
-69, 0, 41
Suppose 3*a**5 - 3*a**4 - 27*a**3 + 3*a**2 + 60*a + 36 = 0. Calculate a.
-2, -1, 2, 3
Factor 3*d**2 + 336*d + 660.
3*(d + 2)*(d + 110)
Factor -5*u**5 - 15*u**4 - 10*u**3 + 10*u**2 + 15*u + 5.
-5*(u - 1)*(u + 1)**4
What is j in -2*j**2/7 - 12*j/7 - 18/7 = 0?
-3
Factor 4*j**5 + 428*j**4 + 10780*j**3 - 36300*j**2.
4*j**2*(j - 3)*(j + 55)**2
Suppose -3*i**3/5 + 846*i**2/5 - 69723*i/5 + 1354836/5 = 0. Calculate i.
28, 127
Factor 4*s**3/5 + 308*s**2/5 + 1536*s + 12240.
4*(s + 17)*(s + 30)**2/5
Factor -6*c**3 + 136*c**2 - 86*c - 44.
-2*(c - 22)*(c - 1)*(3*c + 1)
Factor -15*y**3 + 115*y**2 + 175*y + 45.
-5*(y - 9)*(y + 1)*(3*y + 1)
Suppose -u**4/2 + 405*u**3/8 - 10097*u**2/8 - 7905*u/8 + 2601/8 = 0. Calculate u.
-1, 1/4, 51
Let -3*r**3/4 + 27*r**2/4 + 255*r/4 + 225/4 = 0. Calculate r.
-5, -1, 15
Factor x**4 - 9*x**3 - 70*x**2.
x**2*(x - 14)*(x + 5)
Factor -14*s**3 - 58*s**2/5 + 12*s/5.
-2*s*(s + 1)*(35*s - 6)/5
Find k, given that -5*k**2 - 570*k - 16245 = 0.
-57
Factor 5*b**3 + 55*b**2 - 370*b + 480.
5*(b - 3)*(b - 2)*(b + 16)
Suppose 3*h**3/7 - 19*h**2/7 + 4*h/7 + 12/7 = 0. What is h?
-2/3, 1, 6
Solve r**2/3 + 11*r/3 + 8 = 0 for r.
-8, -3
Factor c**2 + 46*c - 147.
(c - 3)*(c + 49)
Let -175*b**3 + 91195*b**2 - 10400*b - 10420 = 0. Calculate b.
-2/7, 2/5, 521
Find f such that -2*f**5/15 + 22*f**3/15 - 12*f**2/5 + 16*f/15 = 0.
-4, 0, 1, 2
Factor 16*o**3 - 236*o**2 + 556*o - 336.
4*(o - 12)*(o - 1)*(4*o - 7)
What is h in -5*h**5 + 35*h**4 - 50*h**3 = 0?
0, 2, 5
Determine o, given that -2*o**5 - 8*o**4 + 6*o**3 + 44*o**2 + 8*o - 48 = 0.
-3, -2, 1, 2
Factor 2*i**4/9 + 8*i**3/9 - 34*i**2/3 + 20*i.
2*i*(i - 3)**2*(i + 10)/9
Suppose 4*q**2 + 166*q/7 - 12/7 = 0. Calculate q.
-6, 1/14
Find c such that 10*c**5/7 - 128*c**4 + 20640*c**3/7 + 18700*c**2 - 911750*c - 367500 = 0.
-15, -2/5, 35
Determine b so that -2*b**4/5 + 94*b**3/5 - 48*b**2 - 4680*b = 0.
-13, 0, 30
Determine h so that -6*h**2 - 142*h + 364 = 0.
-26, 7/3
Let 8*c**4 + 36*c**3 + 4*c**2 - 84*c + 36 = 0. What is c?
-3, 1/2, 1
Find y, given that 98*y**2/9 + 1232*y/3 + 3872 = 0.
-132/7
Factor c**4 + c**3 - 50*c**2 + 48*c.
c*(c - 6)*(c - 1)*(c + 8)
Factor 5*g**5 + 145*g**4 - 1360*g**3 + 4280*g**2 - 5840*g + 2960.
5*(g - 2)**4*(g + 37)
Factor 2*o**2/5 + 7284*o/5 + 6632082/5.
2*(o + 1821)**2/5
What is l in 2*l**4 - 30*l**3 - 74*l**2 + 102*l = 0?
-3, 0, 1, 17
Determine w, given that -4*w**4 + 28*w**3 + 68*w**2 + 36*w = 0.
-1, 0, 9
Determine f so that -5*f**2 - 185*f - 350 = 0.
-35, -2
Factor w**3 + 6*w**2 + 11*w + 6.
(w + 1)*(w + 2)*(w + 3)
Factor 15*g**3 - 110*g**2 + 255*g - 180.
5*(g - 3)**2*(3*g - 4)
Factor 4*s**2/7 + 488*s/7 + 11748/7.
4*(s + 33)*(s + 89)/7
Solve -5*m**4/6 + m**3/3 + 5*m**2/6 - m/3 = 0 for m.
-1, 0, 2/5, 1
Let 12*y**4/7 - 39*y**3/7 - 39*y**2/7 + 156*y/7 - 36/7 = 0. What is y?
-2, 1/4, 2, 3
What is t in -t**3/7 + 451*t**2/7 + 906*t/7 = 0?
-2, 0, 453
Let 3*w**4/8 - 465*w**3/8 + 447*w**2 - 882*w = 0. Calculate w.
0, 4, 147
Suppose -q**3/8 - 3*q**2/8 + 25*q/8 - 21/8 = 0. What is q?
-7, 1, 3
Determine b so that -3*b**4/2 + 57*b**3/2 + 63*b**2/2 - 57*b/2 - 30 = 0.
-1, 1, 20
Let k**5/3 + 65*k**4/3 + 1147*k**3/3 + 961*k**2 = 0. Calculate k.
-31, -3, 0
Find f, given that -2*f**4/7 + 8*f**3/7 - 2*f**2/7 - 12*f/7 = 0.
-1, 0, 2, 3
Factor 3*h**2/2 + 39*h + 75/2.
3*(h + 1)*(h + 25)/2
Determine j, given that 5*j**4 - 30*j**3 + 55*j**2 - 30*j = 0.
0, 1, 2, 3
Factor 3*k**3/4 - 387*k**2/4 + 12285*k/4 + 12675/4.
3*(k - 65)**2*(k + 1)/4
Suppose -3*l**4 - 3*l**3 + 21*l**2 + 3*l - 18 = 0. Calculate l.
-3, -1, 1, 2
Suppose -4*b**3/3 - 612*b**2 - 93636*b - 4775436 = 0. What is b?
-153
Find q such that 3*q**5/5 + 18*q**4 - 501*q**3/5 + 828*q**2/5 - 84*q = 0.
-35, 0, 1, 2
Factor -2*n**2/9 + 3070*n/9 - 3068/9.
-2*(n - 1534)*(n - 1)/9
Factor 2*f**4/5 - 24*f**3/5 + 12*f**2 - 56*f/5 + 18/5.
2*(f - 9)*(f - 1)**3/5
Solve 14*n**4/9 - 176*n**3/9 + 502*n**2/9 - 484*n/9 + 16 = 0.
4/7, 1, 2, 9
Factor -3*a**4 - 27*a**3 - 81*a**2 - 93*a - 36.
-3*(a + 1)**2*(a + 3)*(a + 4)
Factor 25*p**4 + 370*p**3 + 880*p**2 + 480*p.
5*p*(p + 2)*(p + 12)*(5*p + 4)
Find h, given that 4*h**3 - 8*h**2 - 160*h - 256 = 0.
-4, -2, 8
Find u such that -2*u**2 - 150*u - 2200 = 0.
-55, -20
Factor 11*r**4/5 + 8*r**3 + 28*r**2/5 - 16*r/5.
r*(r + 2)**2*(11*r - 4)/5
Determine u so that -16*u**5 + 156*u**4 + 216*u**3 + 44*u**2 = 0.
-1, -1/4, 0, 11
Let -z**4 - 163*z**3 + 329*z**2 - 165*z = 0. Calculate z.
-165, 0, 1
Find m, given that -18*m**4/11 - 3136*m**3/11 - 136938*m**2/11 - 30276*m/11 = 0.
-87, -2/9, 0
Find t, given that t**3/3 - 11*t**2/3 - 4*t/3 + 44/3 = 0.
-2, 2, 11
What is d in -3*d**3 - 2301*d**2 = 0?
-767, 0
Factor -f**4 + 94*f**3 - 2388*f**2 + 19346*f - 17051.
-(f - 59)*(f - 17)**2*(f - 1)
Factor d**3/2 + 111*d**2/4 + 131*d/2 - 159/4.
(d + 3)*(d + 53)*(2*d - 1)/4
Solve 248*k**2/3 - 90*k + 22/3 = 0 for k.
11/124, 1
Find j, given that 3*j**3/2 + 12*j**2 - 159*j/2 - 90 = 0.
-12, -1, 5
Factor 5*u**2 + 430*u + 9245.
5*(u + 43)**2
Factor -4*j**4 - 68*j**3 + 72*j**2.
-4*j**2*(j - 1)*(j + 18)
Factor -4*r**2 - 9660*r + 9664.
-4*(r - 1)*(r + 2416)
What is k in -4*k**4 - 36*k**3 - 80*k**2 - 48*k = 0?
-6, -2, -1, 0
Solve -2*s**3/3 + 50*s**2/3 - 272*s/3 = 0.
0, 8, 17
Factor 3*s**3 - 549*s**2 + 21825*s + 310497.
3*(s - 97)**2*(s + 11)
Factor 2*j**5/3 + 26*j**4/3 + 38*j**3 + 206*j**2/3 + 164*j/3 + 16.
2*(j + 1)**3*(j + 4)*(j + 6)/3
Factor 1293*r**2 + 1290*r - 3.
3*(r + 1)*(431*r - 1)
Solve 2*j**2/7 + 318*j/7 + 316/7 = 0.
-158, -1
Solve 6*d**5/11 - 20*d**4/11 + 18*d**3/11 - 4*d**2/11 = 0 for d.
0, 1/3, 1, 2
Determine h, given that 4*h**3 + 12*h**2 + 8*h = 0.
-2, -1, 0
Factor 3*u**3 + 27*u**2 - 66*u.
3*u*(u - 2)*(u + 11)
What is z in -z**3 + 19*z**2 + 225*z - 243 = 0?
-9, 1, 27
Determine u, given that -4*u**3/5 - 18*u**2/5 - 4*u - 6/5 = 0.
-3, -1, -1/2
Factor -3*i**2/7 + 369*i/7.
-3*i*(i - 123)/7
Let 2*j**4/9 + 94*j**3/3 - 1150*j**2/9 + 482*j/3 - 580/9 = 0. What is j?
-145, 1, 2
Factor -49*v**3/2 - 287*v**2/2 - 527*v/2 - 289/2.
-(v + 1)*(7*v + 17)**2/2
Factor 3*h**2/7 + 45774*h/7 + 174604923/7.
3*(h + 7629)**2/7
Factor -5*t**3 + 1445*t**2 - 105120*t + 103680.
-5*(t - 144)**2*(t - 1)
What is u in 961*u**3 + 23188*u**2 + 2980*u + 96 = 0?
-24, -2/31
Factor -6*y**3 - 507*y**2 - 10836*y - 5292.
-3*(y + 42)**2*(2*y + 1)
Factor -i**5/2 - 25*i**4/2 - 84*i**3 - 72*i**2.
-i**2*(i + 1)*(i + 12)**2/2
Factor -4*b**4 - 1112*b**3 - 3312*b**2 - 3304*b - 1100.
-4*(b + 1)**3*(b + 275)
Find h such that 21*h**3 - 960*h**2 - 2292*h - 576 = 0.
-2, -2/7, 48
Factor 500*p**3 - 192600*p**2 + 24729840*p - 1058437152.
4*(5*p - 642)**3
Suppose -2*m**2/19 + 58*m/19 - 408/19 = 0. What is m?
12, 17
Factor -6*g**3/5 + 111*g**2 - 276*g/5.
-3*g*(g - 92)*(2*g - 1)/5
Let -5*k**2 + 650*k - 21125 = 0. Calculate k.
65
Suppose 5*h**5/4 + 65*h**4/4 - 35*h**3/2 = 0. What is h?
-14, 0, 1
Factor 2*n**4/3 - 4*n**2/3 + 2/3.
2*(n - 1)**2*(n + 1)**2/3
What is z in -2*z**5 - 3*z**4/4 + 8*z**3 + 3*z**2 = 0?
-2, -3/8, 0, 2
Solve -k**5/4 + k**4/4 + k**3 - k**2 = 0 for k.
-2, 0, 1, 2
Let -2*a**2/5 + 226*a/5 = 0. Calculate a.
0, 113
Factor -3*t**4/5 - 27*t**3/5 - 24*t**2/5 + 36*t.
-3*t*(t - 2)*(t + 5)*(t + 6)/5
Find c such that -2*c**5/7 - 4*c**4 - 54*c**3/7 + 188*c**2/7 + 664*c/7 + 528/7 = 0.
-11, -2, 3
Let 4*s**3 + 64*s**2 + 340*s + 600 = 0. What is s?
-6, -5
Suppose -5*w**4 + 60*w**3 - 110*w**2 - 420*w - 245 = 0. What is w?
-1, 7
Suppose 2*d**5/5 - 344*d**4/5 + 15794*d**3/5 - 86668*d**2/5 + 167992*d/5 - 110224/5 = 0. What is d?
2, 83
Factor 4*z**3 + 657*z**2 - 3216*z - 845.
(z - 5)*(z + 169)*(4*z + 1)
Suppose h**5/2 - 33*h**4/2 + 251*h**3/2 + 785*h**2/2 - 4500*h - 4750 = 0. Calculate h.
-5, -1, 10, 19
Factor -2*o**3/7 - 56*o**2 - 22794*o/7 - 333036/7.
-2*(o + 22)*(o + 87)**2/7
Factor -2*b**2/13 - 238*b/13 - 372.
-2*(b + 26)*(b + 93)/13
Factor 2*o**3/7 + 10*o**2/7