8*s - 2401 = 0. Calculate s.
-49
Find z such that z**2/5 + 9*z/5 - 22/5 = 0.
-11, 2
Factor 2*k**3/5 - 26*k**2/5 + 92*k/5 - 96/5.
2*(k - 8)*(k - 3)*(k - 2)/5
Let -21*z**4/4 - 159*z**3 - 45*z**2 = 0. Calculate z.
-30, -2/7, 0
Factor -2*l**2 - 31*l/2 - 21.
-(l + 6)*(4*l + 7)/2
Determine k, given that -3*k**5/2 + 43*k**4 - 322*k**3 + 196*k**2 = 0.
0, 2/3, 14
What is o in -3*o**5 + 5*o**4 + 2*o**3 = 0?
-1/3, 0, 2
Factor -u**4 - 7*u**3 + 17*u**2 - 9*u.
-u*(u - 1)**2*(u + 9)
Let -9*f**5 + 26*f**4/5 + 197*f**3/5 - 102*f**2/5 - 68*f/5 - 8/5 = 0. What is f?
-2, -2/9, -1/5, 1, 2
Factor 3*i**3/2 - 6*i**2 - 33*i/2 - 9.
3*(i - 6)*(i + 1)**2/2
Find x, given that -9*x**5/2 + 21*x**4/2 + 36*x**3 - 108*x**2 + 24*x + 72 = 0.
-3, -2/3, 2
Determine y so that -y**2/3 - 32*y/3 - 31/3 = 0.
-31, -1
Factor 2*s**3/7 + 2*s**2/7 - 2*s/7 - 2/7.
2*(s - 1)*(s + 1)**2/7
Find m, given that 2*m**5 - 10*m**4 - 4*m**3 + 84*m**2 - 126*m + 54 = 0.
-3, 1, 3
Determine t, given that -3*t**5/4 + 5*t**4/2 + 9*t**3/4 - 10*t**2 + 3*t = 0.
-2, 0, 1/3, 2, 3
Factor -2*o**2 - 64*o + 66.
-2*(o - 1)*(o + 33)
Factor 5*c**2 + 155*c.
5*c*(c + 31)
Factor 2*s**2 - 162*s + 160.
2*(s - 80)*(s - 1)
Determine s so that 3*s**3 + 429*s**2 - 870*s = 0.
-145, 0, 2
Suppose 2*n**2 + 96*n + 1152 = 0. What is n?
-24
Factor -3*g**4 + 42*g**3 - 144*g**2 - 42*g + 147.
-3*(g - 7)**2*(g - 1)*(g + 1)
Solve -z**3/3 - 599*z**2 - 358801*z - 214921799/3 = 0 for z.
-599
Factor 4*j**3/7 + 13*j**2/7 + j/7 - 18/7.
(j - 1)*(j + 2)*(4*j + 9)/7
Factor -2*w**3/7 + 2564*w**2/7 - 5122*w/7 + 2560/7.
-2*(w - 1280)*(w - 1)**2/7
Factor -3*i**5 - 45*i**4 - 225*i**3 - 435*i**2 - 360*i - 108.
-3*(i + 1)**3*(i + 6)**2
Factor -6*v**5 - 33*v**4/2 - 27*v**3/2 - 3*v**2/2 + 3*v/2.
-3*v*(v + 1)**3*(4*v - 1)/2
What is y in y**5/2 - 20*y**4 + 274*y**3 - 1477*y**2 + 5595*y/2 - 1575 = 0?
1, 2, 7, 15
Let 5*f**5 - 280*f**4 + 5120*f**3 - 20480*f**2 - 327680*f + 2621440 = 0. What is f?
-8, 16
Determine w so that 5*w**3/6 + 11*w**2/6 + w/3 = 0.
-2, -1/5, 0
Determine j, given that -2*j**2 + 34*j + 36 = 0.
-1, 18
Let 35*u**4/2 - 5774*u**3 + 634920*u**2 - 23256200*u - 1331000 = 0. Calculate u.
-2/35, 110
Factor 3*t**3 - 81*t**2 + 78*t.
3*t*(t - 26)*(t - 1)
Solve 2*s**2/3 + 4*s + 10/3 = 0 for s.
-5, -1
Let 3*i**2 + 159*i + 156 = 0. What is i?
-52, -1
Determine p, given that -4*p**4/3 - 20*p**3/3 + 100*p**2/3 + 500*p/3 = 0.
-5, 0, 5
Let -4*o**5 - 9*o**4 + 26*o**3 - 9*o**2 - 4*o = 0. What is o?
-4, -1/4, 0, 1
Let 2*j**2/3 + 1740*j + 1135350 = 0. What is j?
-1305
Suppose -3*j**2/4 + 165*j - 9075 = 0. Calculate j.
110
Factor -4*n**3 + 44*n**2 + 48*n.
-4*n*(n - 12)*(n + 1)
Suppose y**4 + 25*y**3 + 147*y**2 + 167*y - 340 = 0. What is y?
-17, -5, -4, 1
Solve z**3 + 117*z**2 - 237*z + 119 = 0.
-119, 1
What is l in -l**3 - 11*l**2 + l + 11 = 0?
-11, -1, 1
Factor -t**5/2 + 507*t**4/2 - 64515*t**3/2 + 64009*t**2/2.
-t**2*(t - 253)**2*(t - 1)/2
Factor -3*b**4 - 621*b**3 - 31824*b**2 + 32448*b.
-3*b*(b - 1)*(b + 104)**2
Suppose s**4/3 - 10*s**3/3 + 5*s**2/3 + 40*s/3 - 12 = 0. What is s?
-2, 1, 2, 9
Suppose 2*z**5/9 - 4*z**4/3 + 22*z**3/9 - 4*z**2/9 - 8*z/3 + 16/9 = 0. What is z?
-1, 1, 2
Find j, given that -55*j**5/4 - 155*j**4/4 - 45*j**3/2 + 55*j**2/2 + 145*j/4 + 45/4 = 0.
-1, -9/11, 1
Let -2*m**4/15 - 26*m**3/15 - 106*m**2/15 - 166*m/15 - 28/5 = 0. Calculate m.
-7, -3, -2, -1
Solve 2*j**2/11 - 116*j/11 - 1360/11 = 0.
-10, 68
Suppose -k**2/2 - 17*k/4 - 2 = 0. What is k?
-8, -1/2
Factor -n**5 - 49*n**4 - 48*n**3.
-n**3*(n + 1)*(n + 48)
Factor t**3 - 7*t**2 + 15*t - 9.
(t - 3)**2*(t - 1)
Factor -4*v**3 - 120*v**2 + 252*v - 128.
-4*(v - 1)**2*(v + 32)
Factor -3*r**2 + 21*r + 294.
-3*(r - 14)*(r + 7)
Let 5*v**2 + 100*v + 255 = 0. What is v?
-17, -3
Factor -3*a**4 - 63*a**3 - 411*a**2 - 837*a - 486.
-3*(a + 1)*(a + 2)*(a + 9)**2
What is n in 4*n**2/3 + 212*n/3 - 304 = 0?
-57, 4
Find q, given that 4*q**4/5 + 96*q**3/5 + 92*q**2/5 = 0.
-23, -1, 0
Factor 2*n**4/9 + 40*n**3/9 - 134*n**2/9 + 92*n/9.
2*n*(n - 2)*(n - 1)*(n + 23)/9
Find q, given that q**2/3 - 1157*q/3 + 770 = 0.
2, 1155
Determine k, given that -k**4 - k**3 + 27*k**2 + 81*k + 54 = 0.
-3, -1, 6
Factor -3*x**3 - 186*x**2 - 3219*x - 10092.
-3*(x + 4)*(x + 29)**2
Factor -3*r**2 + 39*r - 126.
-3*(r - 7)*(r - 6)
Solve -52*l**2/3 - 168*l + 160/3 = 0.
-10, 4/13
Solve 3*q**2/5 - 69*q/5 + 36 = 0 for q.
3, 20
Let 5*w**2/3 + 1495*w/3 = 0. Calculate w.
-299, 0
Factor -2*p**3 - 32*p**2 + 78*p + 108.
-2*(p - 3)*(p + 1)*(p + 18)
Factor u**4 + 48*u**3 + 526*u**2 - 1200*u + 625.
(u - 1)**2*(u + 25)**2
Factor 2401*o**3 - 2009*o**2 - 376*o - 16.
(o - 1)*(49*o + 4)**2
Let -7*y**5 + 16*y**4 - 4*y**3 = 0. What is y?
0, 2/7, 2
Let z**3 + 8*z**2 - 4*z - 32 = 0. What is z?
-8, -2, 2
Factor 3*r**3 + 579*r**2 + 28224*r + 27648.
3*(r + 1)*(r + 96)**2
Find p, given that -2*p**5/11 - 24*p**4/11 - 42*p**3/11 + 164*p**2/11 + 552*p/11 + 432/11 = 0.
-9, -2, 3
Let 4*x**3 - 11464*x**2 = 0. Calculate x.
0, 2866
What is q in q**3/4 + 15*q**2/4 - 81*q/4 - 95/4 = 0?
-19, -1, 5
Factor 3*m**3/4 - 111*m**2/4 - 3*m/4 + 111/4.
3*(m - 37)*(m - 1)*(m + 1)/4
Find a, given that -2*a**4/7 - 2*a**3/7 + 2*a**2 + 2*a/7 - 12/7 = 0.
-3, -1, 1, 2
Factor -2*j**4 + 12*j**3 - 44*j - 30.
-2*(j - 5)*(j - 3)*(j + 1)**2
Factor -961*b**2/3 - 2356*b - 4332.
-(31*b + 114)**2/3
Factor -c**5/2 + 14*c**4 - 147*c**3 + 686*c**2 - 2401*c/2.
-c*(c - 7)**4/2
Suppose -2*l**2 - 104*l = 0. What is l?
-52, 0
Factor -5*b**2/3 - 50*b/3 + 65.
-5*(b - 3)*(b + 13)/3
What is w in 98*w**3/5 + 504*w**2/5 - 74*w/5 = 0?
-37/7, 0, 1/7
Let 2*n**3/11 + 26*n**2/11 + 68*n/11 - 96/11 = 0. Calculate n.
-8, -6, 1
Factor 2*a**3/19 + 898*a**2/19 - 1804*a/19.
2*a*(a - 2)*(a + 451)/19
Solve 12*q**5 + 640*q**4 - 1104*q**3 - 200*q**2 + 1092*q - 440 = 0.
-55, -1, 2/3, 1
Let -2*u**2 + 1004*u - 126002 = 0. Calculate u.
251
Find h, given that -15*h**5 + 372*h**4 + 423*h**3/5 - 1212*h**2/5 + 60*h = 0.
-1, 0, 2/5, 25
Factor -x**3 + 5*x**2 - 3*x - 9.
-(x - 3)**2*(x + 1)
Determine m so that 28*m**3/3 + 176*m**2/3 - 400*m/3 - 128/3 = 0.
-8, -2/7, 2
Determine l so that -l**4/3 + l**3/3 + 4*l**2 + 4*l/3 - 16/3 = 0.
-2, 1, 4
Factor 3*o**2 + 27*o + 42.
3*(o + 2)*(o + 7)
Suppose 3*t**4/7 - 129*t**2/7 - 18*t = 0. Calculate t.
-6, -1, 0, 7
Factor -2*m**2 + 646*m - 1284.
-2*(m - 321)*(m - 2)
Suppose y**3/4 - y**2/2 = 0. Calculate y.
0, 2
Find h such that 5*h**4 + 465*h**3 - 15*h**2 - 1405*h - 930 = 0.
-93, -1, 2
Factor -112*z**2 - 44*z.
-4*z*(28*z + 11)
What is r in -r**2 + 814*r - 165649 = 0?
407
Suppose 35*w**4 + 150*w**3 - 835*w**2 - 1230*w - 280 = 0. Calculate w.
-7, -1, -2/7, 4
Suppose 27*x**2 - 2652*x + 588 = 0. What is x?
2/9, 98
Solve 6*o**5/5 + 27*o**4/5 + 18*o**3/5 - 33*o**2/5 - 18*o/5 = 0 for o.
-3, -2, -1/2, 0, 1
Solve 2*o**5/5 - 2*o**4 - 6*o**3/5 + 34*o**2/5 - 4*o = 0.
-2, 0, 1, 5
Factor 3*p**2 + 282*p + 1080.
3*(p + 4)*(p + 90)
What is g in g**2/3 + 566*g/3 + 563 = 0?
-563, -3
Find p such that -p**3 - 97*p**2 - 3051*p - 31347 = 0.
-43, -27
Factor -a**2/6 + 5*a/2 + 8/3.
-(a - 16)*(a + 1)/6
Factor r**3 - 27*r**2 + 50*r.
r*(r - 25)*(r - 2)
Find r such that 2*r**2 - 364*r + 362 = 0.
1, 181
Find f, given that -42*f**5 - 212*f**4 + 232*f**3 - 48*f**2 = 0.
-6, 0, 2/7, 2/3
Let -n**3/6 - 35*n**2/6 + 6*n = 0. What is n?
-36, 0, 1
Find v such that -v**3/3 + 518*v**2/3 + 3139*v/3 + 2620/3 = 0.
-5, -1, 524
Let 12*m**5 + 975*m**4 + 2106*m**3 - 2181*m**2 - 3756*m + 2844 = 0. What is m?
-79, -2, 3/4, 1
Factor -7*j**2/8 - 17*j/8 + 3/2.
-(j + 3)*(7*j - 4)/8
Factor a**4/10 - 7*a**3/5 + 24*a**2/5 + 7*a/5 - 49/10.
(a - 7)**2*(a - 1)*(a + 1)/10
What is l in -l**3/2 - 3*l**2/2 + 13*l/2 + 15/2 = 0?
-5, -1, 3
Factor 3*c**3 - 839*c**2 + 58520*c + 19600.
(c - 140)**2*(3*c + 1)
Factor -4*s**3 - 112*s**2 + 240*s.
-4*s*(s - 2)*(s + 30)
Let -y**3/2 - 12*y**2 + 31*y/2 + 75 = 0. Calculate y.
-25, -2, 3
Factor -6*f**2 + 268*f + 90.
-2*(f - 45)*(3*f + 1)
Solve -30*t**4 - 2525*t**3 - 53340*t**2 - 8820*t = 0 for t.
-42, -1/6, 0
Determine o, given that o**3/4 + 63*o**2/2 + 891*o - 6534 = 0.
-66, 6
Factor -5*a**2/4 + 355*a/4 - 1525/2.
-5*(a - 61)*(a - 10)/4
Let 2*h**2 - 2*h - 840 = 0. Calculate h.
-20, 21
Find f such that -2*f**3/17 - 20*f**2/17 - 48*f/17 = 0.
-6, -4, 0
What is f in -4*f**4/9 + 14*f**3 - 62*f**2/9 = 0?
0, 1/2, 31
Factor -5*h**4 - 5*h*