- 896*s**2 - 592*s.
-4*s*(s + 1)*(s + 2)*(s + 74)
Determine u, given that -5*u**4/2 + 10*u**3/3 + 25*u**2/6 - 5*u/3 = 0.
-1, 0, 1/3, 2
Factor -3*d**3 - 24*d**2 + 192*d + 1536.
-3*(d - 8)*(d + 8)**2
Factor 2*w**3/3 - 88*w**2/3 + 806*w/3.
2*w*(w - 31)*(w - 13)/3
Find a such that -a**5 - 3*a**4 + a**3 + 11*a**2 + 12*a + 4 = 0.
-2, -1, 2
Factor 2*n**4/9 + 8*n**3/3 + 58*n**2/9 + 4*n.
2*n*(n + 1)*(n + 2)*(n + 9)/9
Let 5*c**5/4 + 5*c**4/2 - 35*c**3/4 - 25*c**2 - 15*c = 0. Calculate c.
-2, -1, 0, 3
Factor 5*m**3 - 150*m**2 + 1015*m + 1170.
5*(m - 18)*(m - 13)*(m + 1)
Find f such that 14*f**2/11 + 58*f/11 + 8/11 = 0.
-4, -1/7
Factor -5*p**4 + 5020*p**3 - 1890030*p**2 + 316265020*p - 19845630005.
-5*(p - 251)**4
Factor -p**2 - 46*p + 47.
-(p - 1)*(p + 47)
Solve 3*q**5/2 + 6*q**4 - 57*q**3/2 + 21*q**2 = 0 for q.
-7, 0, 1, 2
Solve x**2 - 5*x + 6 = 0 for x.
2, 3
Factor -5*x**4 - 155*x**3 - 375*x**2 + 1395*x + 3780.
-5*(x - 3)*(x + 3)**2*(x + 28)
Factor -5*p**2 + 5*p + 30.
-5*(p - 3)*(p + 2)
Factor -2*k**3/9 - 2*k**2/9 + 10*k/9 - 2/3.
-2*(k - 1)**2*(k + 3)/9
Factor 2*o**4 + 4*o**3 - 8*o**2 - 16*o.
2*o*(o - 2)*(o + 2)**2
Factor -5*p**2 + 650*p - 15680.
-5*(p - 98)*(p - 32)
Factor t**3 + 12*t**2 + 36*t.
t*(t + 6)**2
Factor 2*a**3 - 36*a**2 - 42*a + 76.
2*(a - 19)*(a - 1)*(a + 2)
Let -3*m**4 + 288*m**3 - 9216*m**2 + 98304*m = 0. What is m?
0, 32
Find f, given that -2*f**4/11 - 80*f**3/11 + 98*f**2/11 + 632*f/11 - 984/11 = 0.
-41, -3, 2
Factor 10*q**5 - 895*q**4 + 19800*q**3 + 10125*q**2.
5*q**2*(q - 45)**2*(2*q + 1)
Solve 2*g**2/13 + 6*g = 0 for g.
-39, 0
Solve 4*s**3/5 - 524*s**2/5 + 22656*s/5 - 64512 = 0 for s.
35, 48
Factor u**2/5 - 8*u/5 + 12/5.
(u - 6)*(u - 2)/5
Factor -g**2/5 + 16*g/5 - 28/5.
-(g - 14)*(g - 2)/5
Find o, given that o**5/2 - 8*o**4 - o**3 + 16*o**2 + o/2 - 8 = 0.
-1, 1, 16
Factor -5*r**4/3 + 25*r**3/3 - 10*r**2 - 20*r/3 + 40/3.
-5*(r - 2)**3*(r + 1)/3
Determine x so that -3*x**3/5 - 21*x**2/5 + 72*x/5 + 108 = 0.
-6, 5
What is q in -2*q**3 - 72*q**2 + 314*q - 240 = 0?
-40, 1, 3
Factor 4*i**2/5 - 488*i/5 + 14884/5.
4*(i - 61)**2/5
Find k such that -5*k**2 + 1135*k - 6630 = 0.
6, 221
Find m such that -3*m**3/5 - 69*m**2 - 1662*m/5 - 264 = 0.
-110, -4, -1
Factor -s**2/5 - 164*s/5 - 163/5.
-(s + 1)*(s + 163)/5
Factor 2*u**2/17 - 148*u/17 + 146/17.
2*(u - 73)*(u - 1)/17
Suppose -3*a**4 + 61*a**3/7 + 6*a**2/7 - 12*a - 8/7 = 0. Calculate a.
-1, -2/21, 2
Find w, given that 3*w**3 - 255*w**2 + 5544*w - 5292 = 0.
1, 42
Factor -45*q**2 - 25*q + 70.
-5*(q - 1)*(9*q + 14)
Find r, given that 2*r**5/15 - 26*r**4/15 + 38*r**3/15 + 58*r**2/3 + 352*r/15 + 128/15 = 0.
-1, 8
Solve 5*w**4 + 30*w**3 - 455*w**2 + 1380*w - 1260 = 0 for w.
-14, 2, 3
Factor 3*k**3 + 420*k**2 + 14271*k - 30246.
3*(k - 2)*(k + 71)**2
Factor d**3/3 + 73*d**2/3 - 519*d + 2457.
(d - 9)**2*(d + 91)/3
What is r in 33*r**2/2 - 171*r/2 - 102 = 0?
-1, 68/11
What is y in -2352*y**3 + 3948*y**2 - 7467*y/4 + 1083/4 = 0?
19/56, 1
Factor -2*x**2/11 - 42*x/11 - 108/11.
-2*(x + 3)*(x + 18)/11
Factor -2*u**4 - 2*u**3 + 8*u**2 + 8*u.
-2*u*(u - 2)*(u + 1)*(u + 2)
Suppose 10*z**5 - 92*z**4 + 248*z**3 - 76*z**2 - 354*z + 72 = 0. What is z?
-1, 1/5, 3, 4
Let -5*w**2/6 + 125*w/6 - 70 = 0. Calculate w.
4, 21
What is q in 16*q**4 - 136*q**3 + 57*q**2 + 55*q + 8 = 0?
-1/4, 1, 8
Suppose -9*g**3/8 - 51*g**2/8 - 33*g/4 - 3 = 0. Calculate g.
-4, -1, -2/3
Factor 9*w**4 - 3*w**3 - 51*w**2 - 57*w - 18.
3*(w - 3)*(w + 1)**2*(3*w + 2)
Determine r so that 50*r**3/11 + 540*r**2/11 + 408*r/11 + 80/11 = 0.
-10, -2/5
Suppose -20*t**3/3 + 18544*t**2/3 - 22228*t/3 + 3704/3 = 0. What is t?
1/5, 1, 926
Let 2*s**3 - 10*s**2 - 92*s - 80 = 0. What is s?
-4, -1, 10
Let 2*w**2/13 - 174*w/13 + 288 = 0. Calculate w.
39, 48
Factor 4*b**5 - 44*b**3 - 72*b**2 - 32*b.
4*b*(b - 4)*(b + 1)**2*(b + 2)
Suppose -x**5/4 + 2*x**4 + 99*x**3/4 + 45*x**2/2 = 0. Calculate x.
-6, -1, 0, 15
Find h, given that 2*h**2 - 438*h/7 + 124/7 = 0.
2/7, 31
Let 8*z**3/3 + 16*z**2/3 - 2*z - 6 = 0. Calculate z.
-3/2, 1
Determine g, given that 16*g**5 - 4*g**4 - 17*g**3 + 17*g**2/4 + g - 1/4 = 0.
-1, -1/4, 1/4, 1
Let -3*l**2 - 573*l = 0. What is l?
-191, 0
Factor 3*m**4/4 - 66*m**3 + 2178*m**2 - 31944*m + 175692.
3*(m - 22)**4/4
Determine l, given that 2*l**3/13 - 18*l**2/13 - 1010*l/13 + 1026/13 = 0.
-19, 1, 27
Factor g**5/5 - 2673*g**4/5 + 1790238*g**3/5 - 5354686*g**2/5 + 1069869*g - 356445.
(g - 1335)**2*(g - 1)**3/5
Suppose 2*t**3 + 1378*t**2/3 - 460*t/3 = 0. What is t?
-230, 0, 1/3
Determine w so that 48*w**4 + 360*w**3 + 459*w**2 + 165*w + 18 = 0.
-6, -1, -1/4
Factor 4*o**4/9 + 212*o**3/9 - 436*o**2/9 + 220*o/9.
4*o*(o - 1)**2*(o + 55)/9
What is c in -2*c**2/11 + 2168*c/11 - 587528/11 = 0?
542
Factor l**2/3 + 458*l/3 + 457/3.
(l + 1)*(l + 457)/3
What is r in -r**2/9 + 10*r/9 + 253/3 = 0?
-23, 33
Determine x so that -1125*x**4/2 - 28425*x**3/2 - 60010*x**2 - 15250*x - 1000 = 0.
-20, -5, -2/15
Determine n, given that n**4/7 - 15*n**3/7 - 51*n**2/7 - 53*n/7 - 18/7 = 0.
-1, 18
Find z such that z**3/3 - 55*z**2 - 166*z/3 = 0.
-1, 0, 166
Factor 98*v**3 - 6861*v**2 + 120120*v - 1225.
(v - 35)**2*(98*v - 1)
Factor 5*z**4 + 615*z**3 + 19810*z**2 + 55200*z + 36000.
5*(z + 1)*(z + 2)*(z + 60)**2
Factor -42*y**3/5 + 366*y**2/5 - 96*y - 168/5.
-6*(y - 7)*(y - 2)*(7*y + 2)/5
Suppose -2*k**2/13 + 36*k/13 + 32 = 0. Calculate k.
-8, 26
Factor 230*o**2/19 + 234*o/19 + 4/19.
2*(o + 1)*(115*o + 2)/19
Let -p**3/5 - 40*p**2 - 199*p/5 = 0. What is p?
-199, -1, 0
Solve -q**4 - 26*q**3 - 213*q**2 - 572*q - 484 = 0 for q.
-11, -2
Find n, given that 4*n**3 + 16*n**2 - 20*n = 0.
-5, 0, 1
Factor -2*r**2/15 + 64*r/5 + 194/15.
-2*(r - 97)*(r + 1)/15
Determine a, given that 2*a**2 - 1404*a + 2800 = 0.
2, 700
Suppose -2*m**2/9 + 10*m/9 + 16/3 = 0. Calculate m.
-3, 8
Factor 686*i**4/13 + 26460*i**3/13 + 340200*i**2/13 + 1458000*i/13.
2*i*(7*i + 90)**3/13
Factor 5*g**5/6 - 25*g**4/3 + 85*g**3/3 - 130*g**2/3 + 185*g/6 - 25/3.
5*(g - 5)*(g - 2)*(g - 1)**3/6
Find l such that 10*l**4 + 292*l**3 - 1222*l**2 + 1064*l + 264 = 0.
-33, -1/5, 2
Solve 2*q**5 - 58*q**4 + 446*q**3 - 334*q**2 - 448*q + 392 = 0 for q.
-1, 1, 14
Solve -2*j**4/9 + 64*j**3/9 - 122*j**2/9 + 20*j/3 = 0 for j.
0, 1, 30
Factor 25*t**3 - 3710*t**2 + 1480*t.
5*t*(t - 148)*(5*t - 2)
Factor 4*h**5 - 64*h**4 + 112*h**3 + 8*h**2 - 116*h + 56.
4*(h - 14)*(h - 1)**3*(h + 1)
Suppose 147*w**5 + 2037*w**4/2 - 2529*w**3 + 3687*w**2/2 - 534*w + 54 = 0. Calculate w.
-9, 2/7, 1/2, 1
Find o, given that -2*o**5/19 - 10*o**4/19 + 36*o**3/19 + 116*o**2/19 - 290*o/19 + 150/19 = 0.
-5, 1, 3
Factor -2*k**4 - 6*k**3 + 168*k**2 - 544*k + 384.
-2*(k - 4)**2*(k - 1)*(k + 12)
Factor -2*d**3 - 4*d**2 + 14*d - 8.
-2*(d - 1)**2*(d + 4)
Factor 5*o**3 - 45*o**2 - 530*o + 2520.
5*(o - 14)*(o - 4)*(o + 9)
Let -3*j**4 - 3*j**3 + 21*j**2 + 3*j - 18 = 0. What is j?
-3, -1, 1, 2
Factor -q**4/2 - q**3 + q + 1/2.
-(q - 1)*(q + 1)**3/2
Factor -3*f**2 - 3360*f - 940800.
-3*(f + 560)**2
Let l**4/4 - 7*l**3/4 + 15*l**2/4 - 13*l/4 + 1 = 0. What is l?
1, 4
Let 4*q**4/5 + 744*q**3/5 + 36756*q**2/5 + 40176*q + 58320 = 0. Calculate q.
-90, -3
Factor 21*b**4 - 279*b**3 - 552*b**2 + 180*b.
3*b*(b - 15)*(b + 2)*(7*b - 2)
Factor 20*s**2 + 68*s - 1672.
4*(s + 11)*(5*s - 38)
Let 2*s**3/3 - 82*s**2/3 + 76*s = 0. What is s?
0, 3, 38
Suppose 3*c**5/5 - 60*c**4 + 9801*c**3/5 - 103668*c**2/5 - 9804*c/5 + 103968/5 = 0. Calculate c.
-1, 1, 24, 38
What is s in 2*s**3 - 2188*s**2 + 604928*s - 3551232 = 0?
6, 544
Factor 3*b**3 - 378*b**2 - 3*b + 378.
3*(b - 126)*(b - 1)*(b + 1)
Factor -3*h**4 + 39*h**3 - 54*h**2 - 480*h - 384.
-3*(h - 8)**2*(h + 1)*(h + 2)
Factor 4*s**4 + 248*s**3 + 720*s**2 + 712*s + 236.
4*(s + 1)**3*(s + 59)
Factor -i**3/2 + 4*i**2 - 7*i/2.
-i*(i - 7)*(i - 1)/2
Find s such that 12*s**4 + 112*s**3 + 132*s**2 + 32*s = 0.
-8, -1, -1/3, 0
Find n, given that -18*n**5/5 - 36*n**4/5 + 2*n**3/5 + 4*n**2/5 = 0.
-2, -1/3, 0, 1/3
Factor 2*m**3 + 6*m**2 + 6*m + 2.
2*(m + 1)**3
Factor -h**2/5 - 243*h/5 - 242/5.
-(h + 1)*(h + 242)/5
Let -3*f**2/5 - 729*f/5 + 732/5 = 0. What is f?
-244, 1
Factor z**3/4 - 30*z**2 + 900*z.
z*(z - 60)**2/4
Factor -3*l**2 + 102*l + 216.
-3*(l - 36)*(l + 2)
Factor 2*h**2/3 + 8*h - 30.
2*(h - 3)*(h + 15)/3
Factor 4*n**2 + 36*n + 56.
4*(n + 2)*(n + 7)
Suppo