53*w**3 - 108*w**2 = 0. What is w?
0, 1, 3, 12
Factor 45*c**3 + 1025*c**2 + 5710*c - 1320.
5*(c + 11)*(c + 12)*(9*c - 2)
Solve -4*l**2 + 4 = 0 for l.
-1, 1
Suppose p**2/3 - 16*p/3 - 75 = 0. What is p?
-9, 25
Factor -r**2/4 - 2*r + 5.
-(r - 2)*(r + 10)/4
Determine f, given that -f**2/3 - 1618*f/3 = 0.
-1618, 0
Let -6*i**3 - 183*i**2 + 93*i = 0. What is i?
-31, 0, 1/2
Factor 2*n**4/5 - 2*n**3/5 - 6*n**2 + 18*n/5 + 108/5.
2*(n - 3)**2*(n + 2)*(n + 3)/5
Suppose -2*j**2/15 + 338*j/15 - 332/5 = 0. What is j?
3, 166
Determine j so that -j**3/3 - 3*j**2 + 4*j/3 + 12 = 0.
-9, -2, 2
Determine c, given that -3*c**2 + 30540*c - 77724300 = 0.
5090
Find v such that 4*v**3 + 924*v**2 + 71148*v + 1826132 = 0.
-77
Factor -x**4/6 - 43*x**3/3 - 251*x**2/6 - 83*x/3.
-x*(x + 1)*(x + 2)*(x + 83)/6
Suppose -4*p**4/9 + 16*p**3/3 + 4*p**2/9 - 16*p/3 = 0. What is p?
-1, 0, 1, 12
Factor 4*m**3 + 196*m**2 - 1528*m + 2240.
4*(m - 5)*(m - 2)*(m + 56)
Factor 5*y**3 + 160*y**2 + 1700*y + 6000.
5*(y + 10)**2*(y + 12)
Solve -5*y**2 - 540*y - 14580 = 0 for y.
-54
Find t, given that -4*t**5 - 8*t**4 + 64*t**3 + 8*t**2 - 60*t = 0.
-5, -1, 0, 1, 3
Factor 3*s**4 - 39*s**3 + 144*s**2 - 204*s + 96.
3*(s - 8)*(s - 2)**2*(s - 1)
Factor 2*l**3/15 + 4*l**2/15 - 8*l/15 - 16/15.
2*(l - 2)*(l + 2)**2/15
Solve -4*d**4/7 - 212*d**3/7 + 1184*d**2/7 + 1392*d/7 = 0 for d.
-58, -1, 0, 6
Factor -3*v**2/4 - 501*v - 83667.
-3*(v + 334)**2/4
Factor 2*v**5/5 + 6*v**4/5.
2*v**4*(v + 3)/5
Solve 4*c**2 + 60*c - 1800 = 0 for c.
-30, 15
Factor 2*u**4/3 + 52*u**3 + 1064*u**2 + 5776*u/3.
2*u*(u + 2)*(u + 38)**2/3
Factor j**3/2 - 29*j**2/2 + 223*j/2 - 195/2.
(j - 15)*(j - 13)*(j - 1)/2
Factor v**3/2 - 17*v**2 + 265*v/2 - 300.
(v - 24)*(v - 5)**2/2
Solve -4*b**4/3 - 25*b**3/3 - 50*b**2/3 - 35*b/3 - 2 = 0 for b.
-3, -2, -1, -1/4
Solve 235*w**2 - 220*w - 15 = 0 for w.
-3/47, 1
Suppose -2*m**2 + 218*m + 444 = 0. What is m?
-2, 111
Find w such that -w**2/3 - 932*w/3 - 217156/3 = 0.
-466
Factor -3*z**4 + 4*z**3 - z**2.
-z**2*(z - 1)*(3*z - 1)
Factor 3*n**3 + 336*n**2 - 1383*n + 1044.
3*(n - 3)*(n - 1)*(n + 116)
Let 2*g**5/5 + 402*g**4/5 + 1588*g**3/5 + 2372*g**2/5 + 1578*g/5 + 394/5 = 0. What is g?
-197, -1
Factor -12*x**3 + 308*x**2 + 1192*x - 928.
-4*(x - 29)*(x + 4)*(3*x - 2)
Factor 4*z**2/3 - 128*z/3 - 1280/3.
4*(z - 40)*(z + 8)/3
What is l in -l**3/2 - 5*l**2/2 + 37*l - 60 = 0?
-12, 2, 5
Factor 3*w**4 + 90*w**3 - 189*w**2 + 96*w.
3*w*(w - 1)**2*(w + 32)
Factor l**4/4 - 82*l**3 + 1619*l**2/4 - 323*l.
l*(l - 323)*(l - 4)*(l - 1)/4
Factor -2*w**3 - 154*w**2 + 156*w.
-2*w*(w - 1)*(w + 78)
Determine m so that m**4/2 - 6*m**3 + 23*m**2/2 + 18*m = 0.
-1, 0, 4, 9
Factor 11*o**2 - 782*o + 840.
(o - 70)*(11*o - 12)
Factor -4*a**2/3 + 29420*a/3 + 9808.
-4*(a - 7356)*(a + 1)/3
Factor 2*l**3/7 + 2*l**2 + 4*l/7 - 80/7.
2*(l - 2)*(l + 4)*(l + 5)/7
Factor 5*s**2/3 - 6335*s/3.
5*s*(s - 1267)/3
Find c such that -8*c**5 - 502*c**4 + 2782*c**3 - 4984*c**2 + 3256*c - 544 = 0.
-68, 1/4, 1, 2
Factor -3*v**3 - 33*v**2 + 630*v.
-3*v*(v - 10)*(v + 21)
Factor y**2/5 - 293*y/5 + 292/5.
(y - 292)*(y - 1)/5
Factor d**3/4 + 21*d**2 + 1845*d/4 + 1681/2.
(d + 2)*(d + 41)**2/4
Find h, given that -27*h**5/4 - 591*h**4/2 - 4470*h**3 - 25452*h**2 - 31164*h + 8232 = 0.
-14, -2, 2/9
Solve -5*i**4 - 25*i**3 - 25*i**2 + 25*i + 30 = 0 for i.
-3, -2, -1, 1
Suppose n**4/4 + 19*n**3/4 + 31*n**2/4 - 51*n/4 = 0. What is n?
-17, -3, 0, 1
Factor 60*m**5 - 68*m**4 + 8*m**3.
4*m**3*(m - 1)*(15*m - 2)
What is w in 2*w**5/11 - 12*w**4/11 + 18*w**3/11 - 8*w**2/11 = 0?
0, 1, 4
Determine x, given that -2*x**2/5 - 78*x/5 - 76/5 = 0.
-38, -1
Find c, given that -4*c**4 + 12*c**3 + 20*c**2 - 12*c - 16 = 0.
-1, 1, 4
Suppose 2*w**2/5 - 1094*w/5 - 1096/5 = 0. Calculate w.
-1, 548
Factor q**2 - 686*q + 117649.
(q - 343)**2
Suppose 5*q**4 + 5*q**3 - 65*q**2 - 125*q - 60 = 0. Calculate q.
-3, -1, 4
Find w such that -2*w**5/9 - 1936*w**4/9 - 644*w**3/3 + 1936*w**2/9 + 1934*w/9 = 0.
-967, -1, 0, 1
What is w in 5*w**5/4 + 109*w**4/4 + 683*w**3/4 + 959*w**2/4 + 70*w - 25 = 0?
-10, -1, 1/5
Factor 2*k**3/11 + 1008*k**2/11 + 169344*k/11 + 9483264/11.
2*(k + 168)**3/11
Factor 4*v**2 + 102*v + 50.
2*(v + 25)*(2*v + 1)
Factor 2*o**4 - 4496*o**3 + 2526752*o**2.
2*o**2*(o - 1124)**2
Let -3*j**4/7 - 165*j**3/7 + 171*j**2/7 + 165*j/7 - 24 = 0. What is j?
-56, -1, 1
Determine y, given that -y**4 - 10*y**3 + 51*y**2 - 68*y + 28 = 0.
-14, 1, 2
Suppose f**2 - 7*f - 18 = 0. What is f?
-2, 9
Factor 35*v**4 - 1060*v**3 + 3940*v**2 - 1040*v.
5*v*(v - 26)*(v - 4)*(7*v - 2)
Determine o so that -2*o**4/15 + 22*o**3/15 - 76*o**2/15 + 104*o/15 - 16/5 = 0.
1, 2, 6
Find v such that -2*v**4 + 12*v**3 + 6*v**2 - 32*v - 24 = 0.
-1, 2, 6
Determine t so that 2*t**3/5 - 54*t**2/5 - 242*t/5 - 186/5 = 0.
-3, -1, 31
Factor -t**5/3 + 206*t**4/3 - 15808*t**3/3 + 529984*t**2/3 - 6186752*t/3 - 14623232/3.
-(t - 52)**4*(t + 2)/3
Let -14*t**3 - 256*t**2 - 1150*t - 308 = 0. Calculate t.
-11, -7, -2/7
Let -g**3 - 66*g**2 + 829*g - 1386 = 0. Calculate g.
-77, 2, 9
Factor -2*u**3/11 - 8*u**2/11 + 10*u/11.
-2*u*(u - 1)*(u + 5)/11
What is x in -2*x**2 + 748*x - 2226 = 0?
3, 371
Factor -22*b**2/7 - 172*b/7 + 32/7.
-2*(b + 8)*(11*b - 2)/7
Suppose -l**2/3 - 3874*l/3 - 3751969/3 = 0. What is l?
-1937
Determine v, given that 3*v**3 + 6*v**2 + 3*v = 0.
-1, 0
Determine y, given that 162*y**5/7 + 72*y**4 + 104*y**3/7 - 64*y**2 + 128*y/7 = 0.
-2, 0, 4/9
Solve 5*k**4 - 160*k**3 + 700*k**2 + 2080*k = 0.
-2, 0, 8, 26
Factor -s**5 + 46*s**3 + 144*s**2 + 27*s - 216.
-(s - 8)*(s - 1)*(s + 3)**3
Factor -7*v**3 - 3*v**2 + 24*v/7 - 4/7.
-(v + 1)*(7*v - 2)**2/7
Let -4*f**3 + 172*f - 168 = 0. What is f?
-7, 1, 6
Let -14*c**5 - 32*c**4 - 22*c**3 - 4*c**2 = 0. What is c?
-1, -2/7, 0
Suppose 4*n**5 - 28*n**4 + 24*n**3 + 128*n**2 - 128*n = 0. What is n?
-2, 0, 1, 4
Suppose 2*d**2 + 438*d + 1296 = 0. What is d?
-216, -3
Suppose 2*l**4/7 - 150*l**3/7 + 2214*l**2/7 + 3362*l = 0. What is l?
-7, 0, 41
Find a, given that -95*a**5 - 446*a**4 - 1356*a**3/5 - 136*a**2/5 + 32*a/5 = 0.
-4, -2/5, 0, 2/19
Suppose 3*c**5/2 + 18*c**4 + 69*c**3 + 90*c**2 + 75*c/2 = 0. What is c?
-5, -1, 0
Let 4*j**4 - 48*j**3 + 180*j**2 - 200*j = 0. What is j?
0, 2, 5
Solve 2*m**5/19 - 32*m**4/19 + 50*m**3/19 + 604*m**2/19 + 920*m/19 + 400/19 = 0.
-2, -1, 10
Solve w**5 - 26*w**4 - 59*w**3 + 84*w**2 = 0 for w.
-3, 0, 1, 28
Factor -w**5/4 + 3*w**4 - 12*w**3 + 41*w**2/2 - 63*w/4 + 9/2.
-(w - 6)*(w - 3)*(w - 1)**3/4
Suppose d**2/6 + 20*d + 119/6 = 0. Calculate d.
-119, -1
Find m such that -2*m**3/5 + 16*m**2/5 + 2*m/5 - 16/5 = 0.
-1, 1, 8
Factor -5*m**3 + 100*m**2 + 735*m + 1170.
-5*(m - 26)*(m + 3)**2
Find q, given that 2*q**2 - 1596*q + 318402 = 0.
399
Determine m, given that -75*m**2 - 120*m - 48 = 0.
-4/5
Determine c, given that c**4/2 + 91*c**3/2 - 47*c**2 - 92*c = 0.
-92, -1, 0, 2
Suppose -4*w**5 - 152*w**4 - 1952*w**3 - 9064*w**2 - 7260*w = 0. Calculate w.
-15, -11, -1, 0
Suppose -10*m**3/3 - 38*m**2 + 76*m/3 + 16 = 0. Calculate m.
-12, -2/5, 1
Factor -22*l**2/15 - 1888*l/15 + 344/15.
-2*(l + 86)*(11*l - 2)/15
Factor v**2/4 + 31*v/4 - 33/2.
(v - 2)*(v + 33)/4
Suppose 2*s**3 - 222*s**2/5 + 1254*s/5 - 242/5 = 0. What is s?
1/5, 11
Factor -w**2/4 + 79*w + 317/4.
-(w - 317)*(w + 1)/4
Factor 65*r**2/2 + 4870*r - 750.
5*(r + 150)*(13*r - 2)/2
Factor -2*q**3/15 + 14*q**2/15 + 44*q/5 - 48/5.
-2*(q - 12)*(q - 1)*(q + 6)/15
What is r in 2*r**3 - 26*r**2 + 112*r - 160 = 0?
4, 5
Solve v**2/7 - 7590*v/7 + 14402025/7 = 0 for v.
3795
Factor 5*p**2 + 110*p + 425.
5*(p + 5)*(p + 17)
Factor -2*q**2/5 - 92*q/5 - 18.
-2*(q + 1)*(q + 45)/5
Find m, given that 3*m**3/2 - 6*m**2 - 15*m/2 = 0.
-1, 0, 5
Factor y**3 + y**2 - 8*y - 12.
(y - 3)*(y + 2)**2
Let 2*f**3 - 6*f**2 + 4*f = 0. Calculate f.
0, 1, 2
Find k, given that -54*k**5 + 36*k**4 + 10608*k**3 - 7072*k**2 - 4704*k + 3136 = 0.
-14, -2/3, 2/3, 14
Determine i, given that -i**2 + i/4 = 0.
0, 1/4
Solve -3*k**4 - 267*k**3 - 261*k**2 + 267*k + 264 = 0 for k.
-88, -1, 1
Suppose -2*n**3/5 - 6*n**2/5 + 12*n/5 + 16/5 = 0. Calculate n.
-4, -1, 2
Solve 35*h**3/4 + 985*h**2/4 + 35*h = 0 for h.
-28, -1/7, 0
Suppose 5*d**3 + 40*d**2 - 100*d = 0. What is d?
-10, 0, 2
Factor j**2 + 35*j.
j*(j + 35)
Let -10*c**3/7 - 2*c**2 + 16*c/7 + 8/7 = 0. What is c?
-2