- 34*j = 0. What is j?
-17, 0, 1
Suppose -s**2/4 - 54*s + 109 = 0. Calculate s.
-218, 2
Let k**2/9 - 181*k/9 - 182/9 = 0. Calculate k.
-1, 182
Factor -2*y**4 - 110*y**3 - 1456*y**2 + 1568*y.
-2*y*(y - 1)*(y + 28)**2
Factor q**3/3 + 35*q**2/3 - 12*q.
q*(q - 1)*(q + 36)/3
Find h such that 4*h**4 - 2172*h**3 + 12936*h**2 - 25808*h + 17184 = 0.
2, 537
Solve 3*o**2/2 - 39*o/2 + 54 = 0.
4, 9
Determine g, given that 2*g**4/5 - 14*g**3/5 + 8*g**2/5 + 24*g/5 = 0.
-1, 0, 2, 6
Suppose -20*n**2 + 7456*n + 1492 = 0. What is n?
-1/5, 373
Find j such that -20*j**2 + 212*j + 88 = 0.
-2/5, 11
Factor 5*n**4 + 120*n**3 + 830*n**2 + 1320*n + 605.
5*(n + 1)**2*(n + 11)**2
Factor -4*r**4 + 12*r**3 + 108*r**2 - 540*r + 648.
-4*(r - 3)**3*(r + 6)
Suppose 2*s**2 - 88*s + 320 = 0. Calculate s.
4, 40
Factor -15*m**3 + 265*m**2 - 350*m - 1880.
-5*(m - 4)*(m + 2)*(3*m - 47)
Factor b**3 + 111*b**2 + 2784*b - 16820.
(b - 5)*(b + 58)**2
Factor 9*n**2 + 231*n - 78.
3*(n + 26)*(3*n - 1)
Factor -3*s**4/4 - 6*s**3 - 27*s**2/2 - 12*s - 15/4.
-3*(s + 1)**3*(s + 5)/4
Determine r so that 14*r**5 - 4532*r**4 + 3198*r**3 + 10328*r**2 + 2584*r = 0.
-1, -2/7, 0, 2, 323
Find f such that -10*f**2 + 65*f - 90 = 0.
2, 9/2
Suppose -3*z**3 + 12*z**2 + 48*z - 192 = 0. What is z?
-4, 4
Suppose u**4 - 30*u**3 - 96*u**2 - 98*u - 33 = 0. Calculate u.
-1, 33
Determine s, given that -s**5 + 21*s**4/2 + 65*s**3/2 + 5*s**2/2 - 63*s/2 - 13 = 0.
-2, -1, -1/2, 1, 13
Factor 2*w**2 - 352*w - 2562.
2*(w - 183)*(w + 7)
Factor 5*p**3 - 115*p**2 - 5*p + 115.
5*(p - 23)*(p - 1)*(p + 1)
Factor -g**2 - 114*g - 3249.
-(g + 57)**2
Factor -2*i**5 + 42790*i**4 - 366196820*i**3 + 1566956192780*i**2 - 3352502774452810*i + 2869071874376714798.
-2*(i - 4279)**5
Find n, given that 3*n**3 - 462*n**2 - 933*n - 468 = 0.
-1, 156
Find k such that 4*k**4/11 + 162*k**3/11 - 94*k**2/11 - 492*k/11 = 0.
-41, -3/2, 0, 2
What is c in -5*c**5 - 330*c**4 - 7260*c**3 - 53240*c**2 = 0?
-22, 0
Factor -6*v**2/7 - 5030*v/7 + 3356/7.
-2*(v + 839)*(3*v - 2)/7
Let -10*c**5/11 - 36*c**4/11 + 252*c**3/11 + 32*c**2/11 - 498*c/11 - 252/11 = 0. Calculate c.
-7, -1, -3/5, 2, 3
Determine w, given that -2*w**2/9 - 4*w - 154/9 = 0.
-11, -7
Let -2*s**4 + 60*s**3 + 62*s**2 = 0. What is s?
-1, 0, 31
Factor 2*s**2 + 4*s - 6.
2*(s - 1)*(s + 3)
Find g, given that -3*g**5 - 9*g**4 + 111*g**3 - 87*g**2 - 108*g + 96 = 0.
-8, -1, 1, 4
Factor 37*h**2/6 + 67*h/6 - 7/3.
(h + 2)*(37*h - 7)/6
Factor -12*s**3/5 - 9141*s**2/5 - 1739646*s/5 + 435483/5.
-3*(s + 381)**2*(4*s - 1)/5
Factor g**2/2 - 66*g + 130.
(g - 130)*(g - 2)/2
Determine s so that 2*s**3 + 684*s**2 + 77976*s + 2963088 = 0.
-114
Factor f**3/5 + 8*f**2/5 + 21*f/5 + 18/5.
(f + 2)*(f + 3)**2/5
Determine u so that 3*u**4 - 15*u**3 - 9*u**2 + 51*u - 30 = 0.
-2, 1, 5
Factor i**2/2 - 5*i/2 - 133.
(i - 19)*(i + 14)/2
Factor 192*g**4 + 30576*g**3 + 68148*g**2 + 50949*g + 12717.
3*(g + 157)*(4*g + 3)**3
Solve -2*q**4 - 2*q**3 + 8*q**2 + 8*q = 0 for q.
-2, -1, 0, 2
Factor -5*q**3 + 500*q**2 - 12500*q.
-5*q*(q - 50)**2
Factor -2*r**4/5 + 10*r**3 + 106*r**2/5 + 54*r/5.
-2*r*(r - 27)*(r + 1)**2/5
Determine h, given that 5*h**4 + 775*h**3 + 5915*h**2 + 5145*h = 0.
-147, -7, -1, 0
Factor 3*f**5 - 72*f**4 - 318*f**3 - 492*f**2 - 333*f - 84.
3*(f - 28)*(f + 1)**4
Factor -r**2/8 - 167*r/8 - 165/4.
-(r + 2)*(r + 165)/8
Factor 2*u**3 - 72*u**2 + 138*u - 68.
2*(u - 34)*(u - 1)**2
Solve -12*z**2 + 5264*z - 10480 = 0 for z.
2, 1310/3
Factor -2*a**3/13 - 48*a**2/13 - 330*a/13 - 484/13.
-2*(a + 2)*(a + 11)**2/13
Solve 2*j**5 - 42*j**4 - 14*j**3 + 306*j**2 - 252*j = 0 for j.
-3, 0, 1, 2, 21
Suppose -3*l**2 - 4203*l + 4206 = 0. What is l?
-1402, 1
Find g, given that 10*g**2 + 144*g - 90 = 0.
-15, 3/5
Find u, given that -21*u**5 + 62*u**4 - 65*u**3 + 28*u**2 - 4*u = 0.
0, 2/7, 2/3, 1
Factor 2*b**3 - 376*b**2.
2*b**2*(b - 188)
Solve 2*c**5 + 44*c**4 + 236*c**3 - 136*c**2 - 814*c - 484 = 0.
-11, -1, 2
Factor 5*t**3 + 2*t**2 - 13*t + 6.
(t - 1)*(t + 2)*(5*t - 3)
Factor -t**2 - 7304*t - 13337104.
-(t + 3652)**2
Determine u, given that 3*u**2/2 - 2235*u/2 = 0.
0, 745
Find r, given that 2*r**5/5 + 718*r**4/5 + 19296*r**3 + 1146960*r**2 + 25077600*r - 26244000 = 0.
-90, 1
Factor -10*f**3 + 4*f**2 + 10*f - 4.
-2*(f - 1)*(f + 1)*(5*f - 2)
Determine r so that 5*r**2 - 20 = 0.
-2, 2
Suppose -2*d**4/3 - 155*d**3/6 - 401*d**2/6 - 89*d/3 + 12 = 0. Calculate d.
-36, -2, -1, 1/4
Factor -3*r**3/5 - 141*r**2/5 + 144*r/5.
-3*r*(r - 1)*(r + 48)/5
Factor 4*p**2 - 44*p + 72.
4*(p - 9)*(p - 2)
Factor 3*q**3 - 1308*q**2 - 3*q + 1308.
3*(q - 436)*(q - 1)*(q + 1)
Factor 4*d**4 - 4*d**3 - 68*d**2 - 60*d.
4*d*(d - 5)*(d + 1)*(d + 3)
Factor -3*l**4/2 + 33*l**3/2.
-3*l**3*(l - 11)/2
Let -2*s**2 - 528*s + 530 = 0. What is s?
-265, 1
Solve -5*f**4 - 1320*f**3 - 94680*f**2 - 997920*f - 2857680 = 0 for f.
-126, -6
Factor k**4 + 7*k**3 + 11*k**2 + 5*k.
k*(k + 1)**2*(k + 5)
Solve -3*k**5/4 - 29*k**4/4 + 49*k**3/4 + 341*k**2/4 - 239*k/2 + 30 = 0 for k.
-10, -4, 1/3, 1, 3
Find k, given that 3*k**3/7 + 54*k**2/7 - 57*k/7 = 0.
-19, 0, 1
Suppose -4*a**2 + 52*a - 120 = 0. Calculate a.
3, 10
Let 2*h**5/7 + 30*h**4/7 - 34*h**3/7 - 30*h**2/7 + 32*h/7 = 0. What is h?
-16, -1, 0, 1
Find x, given that -137*x**4 + 820*x**3 - 1221*x**2 - 18*x = 0.
-2/137, 0, 3
Factor 2*v**3/3 - 46*v**2/3 + 160*v/3 - 152/3.
2*(v - 19)*(v - 2)**2/3
Determine q so that -2*q**5/7 - 2*q**4 + 18*q**3/7 + 2*q**2 - 16*q/7 = 0.
-8, -1, 0, 1
Let 4*n**4/3 - 28*n**3/3 + 8*n**2 = 0. Calculate n.
0, 1, 6
Determine g so that -2*g**2/9 - 10*g/3 - 28/9 = 0.
-14, -1
Determine b so that -2*b**5/9 - 2*b**4/3 + 10*b**3/9 + 10*b**2/3 - 8*b/9 - 8/3 = 0.
-3, -2, -1, 1, 2
Factor z**2/2 + 19*z/2 + 24.
(z + 3)*(z + 16)/2
Determine p, given that 4*p**5 + 132*p**4 + 988*p**3 - 2196*p**2 - 7616*p + 13872 = 0.
-17, -3, 2
Let y**5 - 4*y**4 + 6*y**3 - 4*y**2 + y = 0. Calculate y.
0, 1
Factor z**4/8 - 55*z**3/8 + 783*z**2/8 - 729*z/8.
z*(z - 27)**2*(z - 1)/8
Factor -2*r**4 + 3*r**3 + 9*r**2 + r - 3.
-(r - 3)*(r + 1)**2*(2*r - 1)
Solve 3*y**3 - 123*y**2 - 831*y - 705 = 0.
-5, -1, 47
Factor -5*g**4 - 35*g**3 + 40*g**2.
-5*g**2*(g - 1)*(g + 8)
Determine j so that j**2/6 - 5*j/6 + 2/3 = 0.
1, 4
Solve 5*j**2/6 - 7*j/6 - 11 = 0.
-3, 22/5
Factor 3*y**3/7 - 15*y**2/7 - 3*y/7 + 15/7.
3*(y - 5)*(y - 1)*(y + 1)/7
Factor -2*i**4 + 74*i**3 - 786*i**2 + 1870*i - 1156.
-2*(i - 17)**2*(i - 2)*(i - 1)
Factor 6*l**3/7 - 16*l**2/7 - 66*l/7 - 20/7.
2*(l - 5)*(l + 2)*(3*l + 1)/7
Suppose -3*q**4 - 426*q**3 - 9147*q**2 + 424296*q - 2976048 = 0. What is q?
-83, 12
Factor q**2/5 - 77*q/5 + 156.
(q - 65)*(q - 12)/5
Determine w so that -2*w**2 + 6*w + 8 = 0.
-1, 4
What is n in -4*n**5 + 8*n**4 + 212*n**3 + 360*n**2 = 0?
-5, -2, 0, 9
Find j, given that 24*j**4 - 99*j**3 - 156*j**2 + 261*j - 30 = 0.
-2, 1/8, 1, 5
Solve -k**3/3 - 28*k**2/3 + 91*k/3 - 62/3 = 0 for k.
-31, 1, 2
Determine t so that -4*t**2 + 1948*t/5 - 776/5 = 0.
2/5, 97
Factor -3*z**3 - 1683*z**2 - 3357*z - 1677.
-3*(z + 1)**2*(z + 559)
Factor 2*y**2 + 18*y + 28.
2*(y + 2)*(y + 7)
Suppose 2*j**5/5 - 6*j**4/5 - 2*j**3/5 + 22*j**2/5 - 24*j/5 + 8/5 = 0. What is j?
-2, 1, 2
Factor -i**2 - 32*i - 31.
-(i + 1)*(i + 31)
Factor 3*n**3/4 + 9*n**2/4 - 9*n/2 - 6.
3*(n - 2)*(n + 1)*(n + 4)/4
Determine l so that 2*l**4/11 - 6*l**3 + 10*l**2 + 426*l/11 + 248/11 = 0.
-1, 4, 31
Let -q**3/8 + 59*q**2/8 - 899*q/8 + 841/8 = 0. What is q?
1, 29
Factor k**4 - 194*k**3 - 589*k**2 - 394*k.
k*(k - 197)*(k + 1)*(k + 2)
Factor 5*o**3 + 70*o**2 + 65*o.
5*o*(o + 1)*(o + 13)
Factor 2*m**2/9 + 2*m/3 + 4/9.
2*(m + 1)*(m + 2)/9
Suppose 2*r**5/7 + 20*r**4/7 - 32*r**3/7 - 116*r**2/7 - 66*r/7 = 0. What is r?
-11, -1, 0, 3
Factor 2*p**2/13 + 352*p/13 + 15488/13.
2*(p + 88)**2/13
Factor -5*h**3 + 25*h**2 + 140*h - 160.
-5*(h - 8)*(h - 1)*(h + 4)
Find p, given that 3*p**3 + 45*p**2 - 48*p = 0.
-16, 0, 1
Determine m, given that -4*m**3/11 + 3*m**2 - 56*m/11 + 12/11 = 0.
1/4, 2, 6
Factor o**2/3 - 71*o/3 + 46.
(o - 69)*(o - 2)/3
Solve -d**2/6 + 211*d - 133563/2 = 0.
633
Factor 2*j**2 - 116*j + 114.
2*(j - 57)*(j - 1)
Factor 4*f**3 + 36*f**2 + 32*f.
4*f*(f + 1)*(f + 8)
Solve -2*y**4 - 240*y**3 - 9600*y**2 - 128000*y = 0 for y.
-40, 0
Determine h, given that -3*h**2 - 1116*h - 103788 = 0.
-186
Determine k so that 2*k**2/3 + 10*k/3 - 4