- 28*m + 30 = 0.
-15, -1, 1
Factor -2*j**2/3 + 452*j/3 - 896/3.
-2*(j - 224)*(j - 2)/3
Factor -d**3/4 - d**2/2 - d/4.
-d*(d + 1)**2/4
Factor 15*r**5 + 5*r**4 - 20*r**3.
5*r**3*(r - 1)*(3*r + 4)
Determine s, given that -s**3/9 - 8*s**2/9 - 16*s/9 = 0.
-4, 0
Let 2*j**4 + 36*j**3 - 40*j**2 - 36*j + 38 = 0. What is j?
-19, -1, 1
Factor -2*v**2/5 - 118*v/5 - 636/5.
-2*(v + 6)*(v + 53)/5
Solve -2*p**4/7 - 264*p**3/7 - 262*p**2/7 = 0 for p.
-131, -1, 0
Find b such that -2*b**4/11 - 488*b**3/11 + 1440*b**2 - 162400*b/11 + 548000/11 = 0.
-274, 10
Factor 2*a**4/9 - 22*a**3/9 + 16*a**2/3 + 8*a/9 - 64/9.
2*(a - 8)*(a - 2)**2*(a + 1)/9
Determine s, given that -2*s**5 - 12*s**4 + 104*s**3 - 76*s**2 - 102*s + 88 = 0.
-11, -1, 1, 4
Solve 3*a**2/2 + 126*a + 2646 = 0.
-42
Find y, given that -15*y**5 + 21*y**4 + 504*y**3 + 636*y**2 - 336*y = 0.
-4, -2, 0, 2/5, 7
Factor 5*w**3/3 - 40*w**2/3 - 20*w/3 + 160/3.
5*(w - 8)*(w - 2)*(w + 2)/3
Determine u, given that 5*u**5 - 65*u**4 + 35*u**3 + 285*u**2 + 180*u = 0.
-1, 0, 3, 12
Factor -f**4 - 231*f**3 - 687*f**2 - 685*f - 228.
-(f + 1)**3*(f + 228)
Factor -k**2 - 8*k.
-k*(k + 8)
Factor -3*j**2/2 - 174*j - 345/2.
-3*(j + 1)*(j + 115)/2
Factor -21*s**2 - 372*s - 255.
-3*(s + 17)*(7*s + 5)
Suppose -l**4/2 + l**3 - l**2/2 = 0. Calculate l.
0, 1
Determine q, given that -20*q**5 + 35*q**4 + 70*q**3 + 15*q**2 = 0.
-1, -1/4, 0, 3
Find y such that -2*y**2 + 1460*y - 266450 = 0.
365
Factor 5*i**3 + 1415*i**2 + 1410*i.
5*i*(i + 1)*(i + 282)
Solve -10*g**3/3 + 656*g**2/3 - 3542*g - 1452 = 0.
-2/5, 33
Suppose -5*n**2 + 12270*n - 7527645 = 0. Calculate n.
1227
Solve q**5/5 + 8*q**4/5 - 19*q**3/5 + 2*q**2 = 0 for q.
-10, 0, 1
Solve 5*j**4 - 60*j**3 + 175*j**2 = 0 for j.
0, 5, 7
Determine r so that -3*r**5/5 + 90*r**4 + 3*r**3/5 - 90*r**2 = 0.
-1, 0, 1, 150
Solve 6*q**3 + 57*q**2 + 135*q + 54 = 0 for q.
-6, -3, -1/2
Solve 3*b**5 + 150*b**4 + 2280*b**3 + 6480*b**2 - 58320*b + 69984 = 0.
-18, 2
Factor -5*c**3 + 25*c**2 - 35*c + 15.
-5*(c - 3)*(c - 1)**2
Let w**4/4 - 1383*w**3/4 + 478861*w**2/4 - 474717*w/4 - 477481/2 = 0. Calculate w.
-1, 2, 691
Find s such that -2*s**4 + 14*s**3 + 2*s**2 - 14*s = 0.
-1, 0, 1, 7
Find n, given that -2*n**3/13 + 114*n**2/13 - 1680*n/13 + 1568/13 = 0.
1, 28
Factor y**2/10 + 132*y/5 + 8712/5.
(y + 132)**2/10
Determine j so that -270*j**5 + 1002*j**4 + 1658*j**3 + 406*j**2 + 20*j = 0.
-1, -2/9, -1/15, 0, 5
Factor 3*i**4 + 12*i**3 - 27*i**2 - 108*i.
3*i*(i - 3)*(i + 3)*(i + 4)
Factor -b**3/10 - 19*b**2/10 + b/10 + 19/10.
-(b - 1)*(b + 1)*(b + 19)/10
Factor -4*u**2 - 68*u + 72.
-4*(u - 1)*(u + 18)
What is s in -4*s**3 - 52*s**2 - 92*s - 44 = 0?
-11, -1
Factor 5*p**3 - 100*p**2 + 640*p - 1280.
5*(p - 8)**2*(p - 4)
Factor -2*m**5 - 32*m**4 - 56*m**3.
-2*m**3*(m + 2)*(m + 14)
Factor -v**4/6 - 2*v**3.
-v**3*(v + 12)/6
Solve -2*q**4 - 96*q**3/7 - 14*q**2 + 240*q/7 - 32/7 = 0.
-4, 1/7, 1
Solve 2*c**5/9 - 8*c**4/9 - 2*c**3/9 + 8*c**2/9 = 0.
-1, 0, 1, 4
Determine l so that -l**4/8 + 9*l**3 - 1295*l**2/8 - 9*l + 162 = 0.
-1, 1, 36
Solve 2*t**4 - 46*t**3 + 42*t**2 + 46*t - 44 = 0.
-1, 1, 22
Factor -q**3/5 - 280*q**2 - 2797*q/5 - 1398/5.
-(q + 1)**2*(q + 1398)/5
Solve y**2 - 593*y + 1770 = 0.
3, 590
What is j in -2*j**3/5 - 8*j**2/5 - 2*j/5 + 12/5 = 0?
-3, -2, 1
Find t, given that -5*t**3 - 805*t**2 = 0.
-161, 0
Factor -4*d**2 + 4*d + 24.
-4*(d - 3)*(d + 2)
Factor 2*r**5/7 + 16*r**4/7 - 40*r**3/7 - 500*r**2/7 - 250*r/7 + 2500/7.
2*(r - 5)*(r - 2)*(r + 5)**3/7
Find c, given that 2*c**5/5 + c**4 - 14*c**3/5 - 8*c**2/5 = 0.
-4, -1/2, 0, 2
Factor -3*o**3 - 3*o**2 + 6*o.
-3*o*(o - 1)*(o + 2)
Factor -z**3/5 + z**2 + z/5 - 1.
-(z - 5)*(z - 1)*(z + 1)/5
Find b, given that 4*b**4 + 20*b**3 - 4*b**2 - 20*b = 0.
-5, -1, 0, 1
Solve 3*c**3 - 9*c**2 + 12 = 0.
-1, 2
Factor -16*n**3 + 176*n**2 + 188*n + 48.
-4*(n - 12)*(2*n + 1)**2
Factor 3*t**4/7 - 279*t**3/7 + 810*t**2/7.
3*t**2*(t - 90)*(t - 3)/7
Factor 3*i**2 + 276*i + 6348.
3*(i + 46)**2
Find a, given that a**5 + 11*a**4 + 20*a**3 - 80*a**2 - 96*a + 144 = 0.
-6, -2, 1, 2
Factor 2*g**2/7 - 22440*g/7 + 62944200/7.
2*(g - 5610)**2/7
Determine m so that -2*m**3/11 - 710*m**2/11 - 63366*m/11 - 62658/11 = 0.
-177, -1
Let -3*h**5/8 + 3*h**4/2 - 9*h**3/8 = 0. What is h?
0, 1, 3
Solve 4*n**3 + 344*n**2 + 1324*n + 984 = 0.
-82, -3, -1
Factor 3*k**2 + 348*k + 10092.
3*(k + 58)**2
Let 4*s**3 + 2312*s**2 - 4636*s + 2320 = 0. What is s?
-580, 1
Factor -4*j**3 + 1476*j**2.
-4*j**2*(j - 369)
Factor -2*f**3 + 906*f**2 - 136806*f + 6885902.
-2*(f - 151)**3
Factor -5*t**3 - 2155*t**2 - 226720*t + 1188100.
-5*(t - 5)*(t + 218)**2
Factor t**2 + 9*t - 22.
(t - 2)*(t + 11)
Factor 4*g**3 - 2268*g**2 + 428652*g - 27005076.
4*(g - 189)**3
Factor -p**4/11 - p**3/11 + 7*p**2/11 + 13*p/11 + 6/11.
-(p - 3)*(p + 1)**2*(p + 2)/11
Factor 2*n**4 - 70*n**3 + 316*n**2 - 488*n + 240.
2*(n - 30)*(n - 2)**2*(n - 1)
Factor 4*n**4 + 20*n**3 + 4*n**2 - 84*n - 72.
4*(n - 2)*(n + 1)*(n + 3)**2
Factor 4*b**2 + 19560*b + 23912100.
4*(b + 2445)**2
Let 6*q**3 + 304*q**2 - 1240*q/3 + 416/3 = 0. Calculate q.
-52, 2/3
Let 3*l**4/8 - 97*l**3/8 + 125*l**2/8 - 31*l/8 = 0. Calculate l.
0, 1/3, 1, 31
Factor h**2/3 + 16*h/3 + 16.
(h + 4)*(h + 12)/3
Let 34445*y**2 - 1660*y + 20 = 0. What is y?
2/83
Let 2*v**3/3 - 4*v**2/3 + 2*v/3 = 0. What is v?
0, 1
Suppose -7*h**3/3 + 18*h**2 - 32*h - 32/3 = 0. What is h?
-2/7, 4
Factor -3*j**2/4 - 1005*j + 4023/4.
-3*(j - 1)*(j + 1341)/4
Determine g, given that 2*g**2/7 - 162*g + 2260/7 = 0.
2, 565
What is u in 7*u**2/8 - 93*u/8 + 13/4 = 0?
2/7, 13
Factor -3*p**2/4 - 820*p - 1093/4.
-(p + 1093)*(3*p + 1)/4
Determine w, given that 3*w**2 - 309*w - 630 = 0.
-2, 105
Factor 4*b**5 - 16*b**3 - 8*b**2 + 12*b + 8.
4*(b - 2)*(b - 1)*(b + 1)**3
Find v, given that 2*v**5 - 8*v**4 - 112*v**3 - 92*v**2 + 110*v + 100 = 0.
-5, -1, 1, 10
Factor 2*g**5 - 18*g**4 + 60*g**3 - 92*g**2 + 66*g - 18.
2*(g - 3)**2*(g - 1)**3
Factor 3*n**5 - 9*n**4 + 6*n**3 + 6*n**2 - 9*n + 3.
3*(n - 1)**4*(n + 1)
Suppose 2*s**2 + 172*s + 170 = 0. What is s?
-85, -1
Let -62*p**2/13 - 9420*p/13 + 608/13 = 0. Calculate p.
-152, 2/31
Determine q, given that -26*q**2/5 - 8888*q/5 + 1368/5 = 0.
-342, 2/13
Find h such that -2*h**5/7 - 8*h**4/7 + 22*h**3/7 - 12*h**2/7 = 0.
-6, 0, 1
Factor -3*k**2 - 243*k + 1848.
-3*(k - 7)*(k + 88)
Factor -15*l**3 + 1374*l**2 + 6312*l + 2304.
-3*(l - 96)*(l + 4)*(5*l + 2)
Suppose 5*u**2/6 - 200*u + 12000 = 0. Calculate u.
120
Factor h**3/2 - 8*h**2 - 18*h.
h*(h - 18)*(h + 2)/2
Factor u**4 - 8*u**3.
u**3*(u - 8)
Factor h**3/5 - 10*h**2 + 572*h/5 + 1352/5.
(h - 26)**2*(h + 2)/5
Factor -2*b**4 + 30*b**3 + 76*b**2 - 120*b - 272.
-2*(b - 17)*(b - 2)*(b + 2)**2
Find i such that -2*i**5/5 + 4*i**4/5 + 8*i**3/5 - 4*i**2/5 - 6*i/5 = 0.
-1, 0, 1, 3
Factor -4*n**3 + 346*n**2 - 172*n.
-2*n*(n - 86)*(2*n - 1)
Factor z**2 + 35*z + 66.
(z + 2)*(z + 33)
Solve a**5 - 6*a**4 - 7*a**3 = 0 for a.
-1, 0, 7
Suppose -12*g**5 - 248*g**4 - 664*g**3 + 1440*g**2 + 164*g - 680 = 0. Calculate g.
-17, -5, -2/3, 1
Factor -2*b**5/13 - 4*b**4 - 432*b**3/13 - 972*b**2/13 + 1458*b/13.
-2*b*(b - 1)*(b + 9)**3/13
Factor 2*x**2/13 - 772*x/13 + 2298/13.
2*(x - 383)*(x - 3)/13
Determine d so that d**4/10 + 8*d**3/5 - 57*d**2/10 + 2*d/5 + 38/5 = 0.
-19, -1, 2
Factor 3*r**3 + 975*r**2 - 3936*r + 3948.
3*(r - 2)**2*(r + 329)
Find b such that 6*b**5/5 + 54*b**4/5 + 18*b**3 - 30*b**2 = 0.
-5, 0, 1
Solve -4*b**4 + 20*b**3 - 16*b**2 = 0.
0, 1, 4
Factor -u**2/3 - 26*u/3 + 9.
-(u - 1)*(u + 27)/3
Determine n so that n**2 + 1888*n + 3772 = 0.
-1886, -2
Factor -s**3 + 3*s**2 + 6*s - 8.
-(s - 4)*(s - 1)*(s + 2)
Factor 2*n**2/11 + 160*n/11 + 3200/11.
2*(n + 40)**2/11
Let -100*g**4 + 192*g**3 - 84*g**2 - 8*g = 0. Calculate g.
-2/25, 0, 1
Solve -r**4/8 + 5*r**2/8 - 1/2 = 0.
-2, -1, 1, 2
Determine y, given that 2*y**4/3 - 50*y**3/3 + 392*y**2/3 - 344*y + 288 = 0.
2, 9, 12
Determine g so that -2*g**3 + 16*g**2 + 24*g - 288 = 0.
-4, 6
Determine s, given that 4*s**2 - 116*s + 112 = 0.
1, 28
Suppose 2*g**4/25 + 4*g**3/25 - 4*g/25 - 2/25 = 0. What is g?
-1, 1
Factor -2*h**3/3 + 16*h**2/3.
-2*h**2*(h - 8)/3
Solve -5*y**2 + 355*y + 730 = 0.
-2, 73
Determine p, given that 16*p**4/7 - 68*p**3/7 + 64*p**2/7 - 12*p/7 = 0.
0, 1/4, 1, 3
Factor 5*l**3 - 10*l**2 - 75*l + 180.
5*(l 