is w?
-13, 2
Let -2*g**5/11 + 4*g**4/11 - 2*g**3/11 = 0. Calculate g.
0, 1
Factor 2*k**5/3 - 92*k**4/3 + 1682*k**3/3 - 15280*k**2/3 + 68992*k/3 - 123904/3.
2*(k - 11)**2*(k - 8)**3/3
Solve -5*c**3/3 - 85*c**2/3 = 0.
-17, 0
Suppose -2*v**5 + 380*v**4 - 18044*v**3 - 1136*v**2 + 53390*v + 36100 = 0. Calculate v.
-1, 2, 95
Determine l, given that 5*l**3 - 45*l**2 - 380*l + 420 = 0.
-6, 1, 14
What is k in k**4/5 + k**3/5 - 17*k**2/5 - 21*k/5 + 36/5 = 0?
-3, 1, 4
Factor 5*s**2/3 - 45*s - 290/3.
5*(s - 29)*(s + 2)/3
Find j, given that 2*j**2/13 - 292*j/13 + 576/13 = 0.
2, 144
Let 45*g**2/4 + 25*g + 5 = 0. Calculate g.
-2, -2/9
Suppose 2*y**3 - 60*y**2 + 258*y - 200 = 0. What is y?
1, 4, 25
Suppose 3*m**2/4 - 9*m/2 - 30 = 0. Calculate m.
-4, 10
Solve -27*p**3/4 - 129*p**2/4 + 15*p/2 = 0 for p.
-5, 0, 2/9
Factor 4*d**3 - 16*d.
4*d*(d - 2)*(d + 2)
Factor -s**2 + 486*s - 59049.
-(s - 243)**2
Suppose 2*w**5 + 786*w**4 + 76038*w**3 - 232850*w**2 + 234432*w - 78408 = 0. What is w?
-198, 1
Factor 3*w**4 - 6*w**3 - 87*w**2 + 90*w.
3*w*(w - 6)*(w - 1)*(w + 5)
Find w, given that -w**5/8 - 39*w**4/8 - 349*w**3/8 - 273*w**2/8 + 175*w/4 + 39 = 0.
-26, -12, -1, 1
Factor 4*t**3 + 288*t**2 - 2512*t + 3840.
4*(t - 6)*(t - 2)*(t + 80)
Find y such that -4*y**5/9 - 10*y**4/9 + 44*y**3/9 + 56*y**2/9 - 112*y/9 - 64/9 = 0.
-4, -2, -1/2, 2
Determine d, given that -3*d**3 - 36*d**2 - 51*d + 90 = 0.
-10, -3, 1
Solve k**3/2 - 735*k**2 - 5883*k/8 - 1471/8 = 0 for k.
-1/2, 1471
Factor 2*c**4/5 + 11*c**3/5 + 19*c**2/5 + 13*c/5 + 3/5.
(c + 1)**2*(c + 3)*(2*c + 1)/5
Suppose -9*x**3 + 597*x**2 - 783*x + 195 = 0. What is x?
1/3, 1, 65
Factor 2*u**4 - 138*u**3 - 2*u**2 + 138*u.
2*u*(u - 69)*(u - 1)*(u + 1)
Let n**3/3 + 11*n**2/3 + 40*n/3 + 16 = 0. Calculate n.
-4, -3
Factor 5*x**3/2 + 245*x**2/2 - 255*x.
5*x*(x - 2)*(x + 51)/2
Solve k**3/2 - 36*k**2 + 69*k/2 + 71 = 0 for k.
-1, 2, 71
Factor -r**5/7 - 5*r**4/7 + 2*r**3 - 2*r**2/7 - 13*r/7 + 1.
-(r - 1)**3*(r + 1)*(r + 7)/7
Suppose -4*b**4/3 + 124*b**3 - 368*b**2/3 = 0. What is b?
0, 1, 92
Find q, given that -q**2 - 880*q - 1756 = 0.
-878, -2
Factor -5*p**2 + 3130*p - 489845.
-5*(p - 313)**2
Suppose -b**5 + 577*b**4 - 82363*b**3 - 250561*b**2 - 251720*b - 84100 = 0. Calculate b.
-1, 290
Solve 2*t**3/3 + 24*t**2 + 216*t = 0.
-18, 0
Find a, given that -3*a**3/2 - 39*a**2/4 + 24*a - 51/4 = 0.
-17/2, 1
Factor -6*y**3 - 51*y**2/5 - 12*y/5 + 9/5.
-3*(y + 1)**2*(10*y - 3)/5
What is v in -2*v**4/7 - 1292*v**3/7 - 208658*v**2/7 = 0?
-323, 0
Factor -4*o**3/5 - 64*o**2/5 - 112*o/5.
-4*o*(o + 2)*(o + 14)/5
Suppose 4*s**4 - 48*s**3 + 128*s**2 + 192*s - 576 = 0. Calculate s.
-2, 2, 6
Suppose 3*l**2 - 63*l + 60 = 0. What is l?
1, 20
Solve -2*v**4/5 - 14*v**3/5 - 36*v**2/5 - 8*v - 16/5 = 0.
-2, -1
Determine l so that 5*l**4 + 3640*l**3 + 662480*l**2 = 0.
-364, 0
Let 2*x**4/3 - 12*x**3 - 26*x**2/3 + 164*x - 144 = 0. Calculate x.
-4, 1, 3, 18
Find t such that 5*t**5 + 175*t**4 - 205*t**3 - 915*t**2 - 540*t = 0.
-36, -1, 0, 3
Find q such that -5*q**2 + 290*q - 4205 = 0.
29
Find z such that -3*z**3 - 13590*z**2 - 20520900*z - 10328853000 = 0.
-1510
Let -6*a**4 + 19*a**3 + 21*a**2 - 4*a = 0. What is a?
-1, 0, 1/6, 4
Determine c, given that -4*c**4 + 48*c**3 - 84*c**2 + 40*c = 0.
0, 1, 10
Determine v so that -4*v**3 + 124*v**2 - 232*v = 0.
0, 2, 29
Factor t**3/8 + 27*t**2/8 + 21*t - 49/2.
(t - 1)*(t + 14)**2/8
Factor -2*t**2/7 - 7526*t/7 + 7528/7.
-2*(t - 1)*(t + 3764)/7
Factor w**3/5 - w**2/5 - 33*w/5 - 63/5.
(w - 7)*(w + 3)**2/5
Factor 2*c**3/23 - 58*c**2/23 - 72*c/23 + 360/23.
2*(c - 30)*(c - 2)*(c + 3)/23
Find a such that 5*a**2 + 240*a + 1435 = 0.
-41, -7
Solve 2*l**3/7 - 46*l**2/7 - 156*l/7 = 0.
-3, 0, 26
Let -30*i**5 - 224*i**4 + 1178*i**3/3 - 568*i**2/3 + 24*i = 0. Calculate i.
-9, 0, 1/5, 2/3
Factor -35*t**2 + 145*t - 110.
-5*(t - 1)*(7*t - 22)
Factor -2*j**2/19 + 36*j - 3078.
-2*(j - 171)**2/19
Factor 3*f**2 + 15*f - 450.
3*(f - 10)*(f + 15)
Factor k**3 + 56*k**2/5 + 11*k/5.
k*(k + 11)*(5*k + 1)/5
Factor -m**2 + 48*m - 47.
-(m - 47)*(m - 1)
Factor -3*d**3 - 15*d**2 - 21*d - 9.
-3*(d + 1)**2*(d + 3)
Solve 5*g**2 - 270*g - 275 = 0.
-1, 55
Factor -g**4 - 286*g**3 - 1133*g**2 - 1412*g - 564.
-(g + 1)**2*(g + 2)*(g + 282)
Factor b**4/5 + 5*b**3 - 257*b**2/5 + 231*b/5.
b*(b - 7)*(b - 1)*(b + 33)/5
Factor -5*q**3 + 115*q**2 - 215*q + 105.
-5*(q - 21)*(q - 1)**2
Suppose w**2 + 34*w + 33 = 0. What is w?
-33, -1
Let -16*u**4 + 220*u**3 - 280*u**2 - 660*u - 144 = 0. What is u?
-1, -1/4, 3, 12
Factor 5*k**2 + 55*k + 50.
5*(k + 1)*(k + 10)
Factor f**5 - 5*f**4 + 3*f**3 + 9*f**2.
f**2*(f - 3)**2*(f + 1)
Suppose 2*g**5/11 - 24*g**4/11 + 10*g**3 - 240*g**2/11 + 248*g/11 - 96/11 = 0. Calculate g.
1, 2, 3, 4
Solve 5*f**3 + 40*f**2 - 5*f - 40 = 0 for f.
-8, -1, 1
Factor -2*m**5/9 + 224*m**4/9 - 6704*m**3/9 + 2688*m**2 - 2592*m.
-2*m*(m - 54)**2*(m - 2)**2/9
Let 3*c**3 - 21*c**2 + 12*c + 36 = 0. Calculate c.
-1, 2, 6
Factor 5*n**5 - 20*n**4 + 25*n**3 - 10*n**2.
5*n**2*(n - 2)*(n - 1)**2
Factor -k**4/8 + 423*k**3/8.
-k**3*(k - 423)/8
Factor 4*a**2 - 424*a + 11236.
4*(a - 53)**2
Suppose -4*i**3 - 92*i**2 - 80*i + 176 = 0. What is i?
-22, -2, 1
Suppose 2*w**3/9 - 304*w**2/9 + 3962*w/9 - 4508/3 = 0. What is w?
7, 138
Suppose b**3 + 85*b**2 - 352*b + 356 = 0. Calculate b.
-89, 2
Factor -49*o**3/3 - 791*o**2/3 + 235*o - 51.
-(o + 17)*(7*o - 3)**2/3
Factor 4*w**5 - 60*w**4 + 224*w**3 - 224*w**2 - 192*w + 320.
4*(w - 10)*(w - 2)**3*(w + 1)
Find u, given that -4*u**5 + 104*u**4 - 752*u**3 + 736*u**2 + 3072*u - 4608 = 0.
-2, 2, 12
Factor -2*o**5/5 + 6*o**4/5 - 4*o**3/5 - 4*o**2/5 + 6*o/5 - 2/5.
-2*(o - 1)**4*(o + 1)/5
Find d such that -2*d**5/9 + 244*d**4 - 613682*d**3/9 + 663680*d**2 - 14796800*d/9 = 0.
0, 5, 544
Let -i**4/2 - 9*i**3 - 40*i**2 - 48*i = 0. Calculate i.
-12, -4, -2, 0
Factor 2*y**2/5 - 6*y/5 - 56/5.
2*(y - 7)*(y + 4)/5
Factor -2*n**4/13 + 2*n**3/13.
-2*n**3*(n - 1)/13
Factor -i**3 + 1961*i**2 - 962360*i + 960400.
-(i - 980)**2*(i - 1)
Factor -3*d**5/4 - 168*d**4 - 50619*d**3/4 - 657453*d**2/2 - 620157*d - 303918.
-3*(d + 1)**2*(d + 74)**3/4
Solve 3*f**3 - 87*f**2 + 840*f - 2700 = 0.
9, 10
Find g such that -5*g**3 - 730*g**2 = 0.
-146, 0
Factor 96*z**3 - 184*z**2 + 60*z + 28.
4*(z - 1)*(4*z + 1)*(6*z - 7)
Determine q, given that -2*q**4/13 - 158*q**3/13 + 1192*q**2/13 - 1032*q/13 = 0.
-86, 0, 1, 6
Factor -3*q**4/8 - 39*q**3/4 + 165*q**2/8 - 21*q/2.
-3*q*(q - 1)**2*(q + 28)/8
Factor 163*g**2/9 - 151*g/9 - 4/3.
(g - 1)*(163*g + 12)/9
Solve 3*w**3 - 2808*w**2 - 5625*w - 2814 = 0.
-1, 938
What is u in 2*u**2 - 10*u = 0?
0, 5
Factor 40*u**3 - 562*u**2 + 1988*u - 98.
2*(u - 7)**2*(20*u - 1)
Find g, given that 2*g**4 + 14*g**3 - 2*g**2 - 14*g = 0.
-7, -1, 0, 1
Find b, given that 12*b**3 - 80*b**2 - 28*b = 0.
-1/3, 0, 7
Determine s, given that s**3 - 29*s**2 + 80*s - 52 = 0.
1, 2, 26
Find b such that b**4/6 + 17*b**3/3 + 34*b**2 + 69*b + 81/2 = 0.
-27, -3, -1
Find m, given that -4*m**2 - 152*m - 768 = 0.
-32, -6
Factor 2*q**2/13 - 11780*q/13 + 17346050/13.
2*(q - 2945)**2/13
Factor -2*d**2/5 + 138*d/5.
-2*d*(d - 69)/5
Factor b**3 - 14*b**2 + 43*b - 30.
(b - 10)*(b - 3)*(b - 1)
Find p such that -3*p**5 - 42*p**4 + 234*p**3 + 4860*p**2 + 6561*p - 65610 = 0.
-9, 3, 10
Suppose u**4 + 13*u**3 + 47*u**2 + 59*u + 24 = 0. What is u?
-8, -3, -1
Factor -d**3 + 6*d**2 - 12*d + 8.
-(d - 2)**3
Determine w so that -2*w**3 + 82*w**2 - 232*w + 152 = 0.
1, 2, 38
Factor -3*o**4 - 51*o**3 - 225*o**2 - 309*o - 132.
-3*(o + 1)**2*(o + 4)*(o + 11)
Determine u, given that -3*u**3 - 6*u**2 + 39*u - 30 = 0.
-5, 1, 2
Factor -r**4 + 23*r**3/2 - 59*r**2/2 + 12*r.
-r*(r - 8)*(r - 3)*(2*r - 1)/2
Let -r**4/6 - r**3 - 3*r**2/2 - 2*r/3 = 0. What is r?
-4, -1, 0
Suppose 5*p**3 - 165*p**2 - 720*p - 740 = 0. What is p?
-2, 37
Determine q so that 5*q**4 + 35*q**3 - 1520*q**2 + 7360*q = 0.
-23, 0, 8
Factor -4*p**3 - 28*p**2 - 28*p + 60.
-4*(p - 1)*(p + 3)*(p + 5)
Factor 3*u**4/2 - 17*u**3/2 + 7*u**2/2 + 93*u/2 - 63.
(u - 3)**2*(u - 2)*(3*u + 7)/2
Solve -2*o**3 + 18*o**2 + 140*o = 0 for o.
-5, 0, 14
Suppose -3*q**5/5 + 21*q**4/5 + 9*q**3/5 - 57*q**2/5 - 42*q/5 = 0. Calculate q.
-1, 0, 2, 7
What is w in 20*w**4 - 75*w**3 + 80*w**2 - 15*w - 10 = 0?
-1/4, 1, 2
Determine x, given that 5*x**2 - 7155*x + 14290 