
Let -c**2/7 - 23*c/7 + 108/7 = 0. What is c?
-27, 4
Factor -3*o**2 - 9*o + 84.
-3*(o - 4)*(o + 7)
Suppose -g**2 + 72*g + 73 = 0. Calculate g.
-1, 73
Suppose 2*x**2/7 + 3550*x/7 + 3548/7 = 0. What is x?
-1774, -1
Factor m**5/4 + 7*m**4/4 + 15*m**3/4 + 9*m**2/4.
m**2*(m + 1)*(m + 3)**2/4
Find k, given that 36*k**2 + 120*k + 100 = 0.
-5/3
Suppose -6*s**4/5 - 22*s**3/5 - 2*s**2 + 6*s/5 = 0. Calculate s.
-3, -1, 0, 1/3
Determine w, given that 5*w**5/2 + 75*w**4/2 - 20*w**3 - 300*w**2 + 40*w + 600 = 0.
-15, -2, 2
Factor -2*i**5/13 - 2*i**4 + 58*i**3/13 - 30*i**2/13.
-2*i**2*(i - 1)**2*(i + 15)/13
Determine v, given that 170*v**3/7 - 342*v**2/7 + 4*v/7 = 0.
0, 1/85, 2
Determine y, given that y**4/5 + 27*y**3/5 + 51*y**2/5 + 5*y = 0.
-25, -1, 0
Suppose 36*d**4 - 744*d**3 + 1552*d**2 + 3104*d + 1152 = 0. What is d?
-2/3, 4, 18
Solve -4*n**2 - 936*n + 2844 = 0.
-237, 3
Let b**5/4 + b**4 - 138*b**3 + 784*b**2 - 1532*b + 1008 = 0. What is b?
-28, 2, 18
Factor -y**2 - 99*y - 98.
-(y + 1)*(y + 98)
Factor -2*d**2/7 - 44*d/7.
-2*d*(d + 22)/7
What is j in 12*j**5 + 68*j**4 - 168*j**3 - 792*j**2 + 1180*j - 300 = 0?
-5, 1/3, 1, 3
Factor 4*i**2 - 536*i + 17956.
4*(i - 67)**2
Factor 2*h**3 - 26*h**2 - 228*h.
2*h*(h - 19)*(h + 6)
Factor 2*x**3/9 - 40*x**2/9 + 256*x/9 - 512/9.
2*(x - 8)**2*(x - 4)/9
Determine o so that -o**4 + 17*o**3/3 + 29*o**2/3 - 5*o/3 - 14/3 = 0.
-1, 2/3, 7
Suppose -49*k**4 + 420*k**3 + 752*k**2 - 528*k + 80 = 0. Calculate k.
-2, 2/7, 10
Factor u**2/3 - 10*u - 64/3.
(u - 32)*(u + 2)/3
Let c**5 + 56*c**4 + 817*c**3 - 2222*c**2 - 70180*c + 266200 = 0. Calculate c.
-22, 5
Suppose -124*m**3 + 363*m**2 - 291*m + 52 = 0. Calculate m.
1/4, 1, 52/31
Find b, given that 3*b**5 + 204*b**4 + 3459*b**3 - 606*b**2 - 9996*b + 6936 = 0.
-34, -2, 1
Find u, given that 6*u**3/13 + 2*u**2 + 8*u/13 = 0.
-4, -1/3, 0
Factor t**4/3 - 67*t**3/3 + 64*t**2 + 4*t/3 - 256/3.
(t - 64)*(t - 2)**2*(t + 1)/3
Let -14450*v**3/3 - 244970*v**2/3 + 11552*v/3 - 136/3 = 0. What is v?
-17, 2/85
Factor 2*w**2 - 2206*w.
2*w*(w - 1103)
Factor -5*i**3 - 905*i**2 - 2680*i - 1780.
-5*(i + 1)*(i + 2)*(i + 178)
Let h**3/5 - 7*h**2/5 + 16*h/5 - 12/5 = 0. What is h?
2, 3
Determine i so that i**5/6 + 43*i**4/6 + 111*i**3 + 2171*i**2/3 + 10309*i/6 + 2197/2 = 0.
-13, -3, -1
Factor p**4 - 4*p**3 - 285*p**2 - 500*p + 9500.
(p - 19)*(p - 5)*(p + 10)**2
Determine y, given that 4*y**5 - 4*y**4 - 88*y**3 - 8*y**2 + 276*y - 180 = 0.
-3, 1, 5
Find h, given that h**2/3 + 4*h/3 = 0.
-4, 0
Let -4*h**3 - 20*h**2 + 104*h + 480 = 0. Calculate h.
-6, -4, 5
Factor 2*g**4 + 2632*g**3 + 868556*g**2 + 1729224*g + 863298.
2*(g + 1)**2*(g + 657)**2
Let -4*p**5 + 108*p**4 - 96*p**3 - 208*p**2 = 0. Calculate p.
-1, 0, 2, 26
What is j in 3*j**2 + 69*j - 72 = 0?
-24, 1
Suppose g**2 + 2178*g = 0. What is g?
-2178, 0
Factor -3*a**3/5 - 414*a**2/5 - 243*a.
-3*a*(a + 3)*(a + 135)/5
Find k, given that -426*k**2 - 273*k - 30 = 0.
-1/2, -10/71
Let -2*r**4 + 20*r**3/3 + 16*r**2 + 4*r - 10/3 = 0. Calculate r.
-1, 1/3, 5
Factor 3*k**2 + 60*k.
3*k*(k + 20)
Let v**2 + 444*v + 49284 = 0. What is v?
-222
Solve -2*v**3 + 192*v**2 - 6144*v + 65536 = 0 for v.
32
Let -2*n**2 + 54*n + 56 = 0. What is n?
-1, 28
Factor -2*r**3/9 + 28*r**2/9 + 46*r/3 + 12.
-2*(r - 18)*(r + 1)*(r + 3)/9
Solve -4*j**4 + 52*j**3 + 124*j**2 - 52*j - 120 = 0.
-2, -1, 1, 15
What is p in -6*p**4/7 + 2248*p**3/7 - 213536*p**2/7 + 556512*p/7 - 276768/7 = 0?
2/3, 2, 186
Solve 4*r**2 - 8064*r + 4064256 = 0.
1008
Factor 2*w**2/3 + 32*w/3 + 56/3.
2*(w + 2)*(w + 14)/3
Solve 4*t**5 - 76*t**3 + 136*t**2 + 48*t - 160 = 0.
-5, -1, 2
Determine o, given that 2*o**3 + 6*o**2 - 2*o - 6 = 0.
-3, -1, 1
Factor 2*t**2/5 - 176*t + 19360.
2*(t - 220)**2/5
Factor z**3/5 - 927*z**2/5 + 286443*z/5 - 29503629/5.
(z - 309)**3/5
Factor -2*k**4 + 32*k**3 - 20*k**2 - 144*k - 90.
-2*(k - 15)*(k - 3)*(k + 1)**2
Let -3*b**5 - 261*b**4 + 1647*b**3 - 2511*b**2 = 0. What is b?
-93, 0, 3
Determine b, given that -b**4/3 + 2*b**3/9 + 43*b**2/9 - 2*b/9 - 40/9 = 0.
-10/3, -1, 1, 4
Factor -g**5 + 11*g**4 + 55*g**3 + 73*g**2 + 30*g.
-g*(g - 15)*(g + 1)**2*(g + 2)
Factor 4*o**2 - 32*o + 28.
4*(o - 7)*(o - 1)
Let 4*s**4 + 20*s**3 - 4*s**2 - 68*s + 48 = 0. What is s?
-4, -3, 1
Find v, given that 4*v**3 + 36*v**2 + 96*v + 80 = 0.
-5, -2
Determine q so that q**3/4 - 417*q**2/2 + 43263*q + 87362 = 0.
-2, 418
Solve 3*j**2 + 53*j/2 - 9/2 = 0 for j.
-9, 1/6
Suppose 2*j**4/9 - 34*j**3/9 - 116*j**2/9 - 80*j/9 = 0. What is j?
-2, -1, 0, 20
Factor -w**3/2 + 19*w**2/2 + 32*w + 22.
-(w - 22)*(w + 1)*(w + 2)/2
Factor 3*w**3/7 + 43*w**2/7 - 330*w/7 + 200/7.
(w - 5)*(w + 20)*(3*w - 2)/7
Let -5*m**5 + 685*m**4 - 22415*m**3 - 71405*m**2 - 72800*m - 24500 = 0. Calculate m.
-1, 70
Factor 2*l**3/3 - 22*l**2/3 + 16*l.
2*l*(l - 8)*(l - 3)/3
Determine r so that 2*r**5/13 - 2*r**4/13 - 10*r**3/13 + 10*r**2/13 + 8*r/13 - 8/13 = 0.
-2, -1, 1, 2
Factor -c**2 - 4*c + 5.
-(c - 1)*(c + 5)
Factor -q**2/2 + 16*q + 34.
-(q - 34)*(q + 2)/2
Find j, given that -5*j**2 - 45*j - 40 = 0.
-8, -1
Factor -f**3 + 14*f**2 + 231*f + 216.
-(f - 24)*(f + 1)*(f + 9)
Find o such that -o**2/6 + 11*o/3 - 121/6 = 0.
11
Factor 3*d**4 - 36*d**3 + 81*d**2.
3*d**2*(d - 9)*(d - 3)
Suppose 2*n**5/3 - 110*n**4/3 + 506*n**3/3 - 94*n**2 - 300*n = 0. Calculate n.
-1, 0, 3, 50
Find u, given that -u**2 - 50*u - 264 = 0.
-44, -6
Solve 6*c**4 + 963*c**3/2 + 4470*c**2 + 23175*c/2 + 2625 = 0.
-70, -5, -1/4
What is o in 3*o**4/7 + 48*o**3/7 + 156*o**2/7 + 144*o/7 = 0?
-12, -2, 0
Factor f**4 - 138*f**3 + 408*f**2 - 406*f + 135.
(f - 135)*(f - 1)**3
Factor 4*a**4 + 100*a**3 + 616*a**2.
4*a**2*(a + 11)*(a + 14)
Solve 3*h**4 - 35*h**3 + 76*h**2 - 36*h = 0.
0, 2/3, 2, 9
Suppose s**3/4 - 5303*s**2/4 + 7033103*s/4 - 7027801/4 = 0. What is s?
1, 2651
Solve 9*i**3 - 23*i**2 - 86*i + 192 = 0.
-3, 2, 32/9
Determine h so that -6*h**3/11 - 10*h**2/11 + 188*h/11 + 192/11 = 0.
-6, -1, 16/3
Factor -f**3/7 - 8*f**2.
-f**2*(f + 56)/7
Solve 4*a**2 + 52*a + 48 = 0 for a.
-12, -1
What is u in -5*u**4/2 - 75*u**3/2 - 375*u**2/2 - 625*u/2 = 0?
-5, 0
Find h, given that 2*h**4/13 - 56*h**3/13 + 264*h**2/13 + 1792*h/13 + 2048/13 = 0.
-2, 16
Factor -2*z**4 + 42*z**2 - 40*z.
-2*z*(z - 4)*(z - 1)*(z + 5)
Factor -2*g**3/9 - 10*g**2/9 - 14*g/9 - 2/3.
-2*(g + 1)**2*(g + 3)/9
Factor c**5/9 - c**4/9 - c**3/9 + c**2/9.
c**2*(c - 1)**2*(c + 1)/9
Factor 4*j**3 - 860*j**2 + 45792*j + 46656.
4*(j - 108)**2*(j + 1)
Solve -3*p**3 - 39*p**2 + 315*p - 513 = 0.
-19, 3
Suppose 2*y**5/3 - 52*y**4/3 + 12*y**3 + 376*y**2/3 - 662*y/3 + 100 = 0. Calculate y.
-3, 1, 2, 25
Factor -2*i**3/7 - 76*i**2/7 + 2*i/7 + 76/7.
-2*(i - 1)*(i + 1)*(i + 38)/7
Determine r, given that -4*r**3 - 56*r**2 - 212*r - 160 = 0.
-8, -5, -1
Factor 588*h**3 - 14952*h**2 + 6327*h - 675.
3*(h - 25)*(14*h - 3)**2
What is l in 2*l**4 - 40*l**3 - 42*l**2 = 0?
-1, 0, 21
Factor -2*r**2/13 + 166*r/13 - 1064/13.
-2*(r - 76)*(r - 7)/13
Let -50*t**5 - 540*t**4 - 1558*t**3 - 1700*t**2 - 744*t - 112 = 0. Calculate t.
-7, -2, -1, -2/5
Factor -5*p**4/4 - 3*p**3/4 + 3*p**2 - p.
-p*(p - 1)*(p + 2)*(5*p - 2)/4
What is f in 5*f**5 - 169*f**4/3 + 230*f**3/3 + 32*f**2 = 0?
-1/3, 0, 2, 48/5
Let -5*h**5 - 155*h**4 + 335*h**3 + 155*h**2 - 330*h = 0. Calculate h.
-33, -1, 0, 1, 2
Let -4*j**3 - 4788*j**2 - 1910412*j - 254084796 = 0. Calculate j.
-399
What is p in 3*p**3 - 153*p**2 - 1395*p - 1239 = 0?
-7, -1, 59
Factor 16*g**2/7 + 4*g/7.
4*g*(4*g + 1)/7
Factor -3*b**2/8 - 771*b/8.
-3*b*(b + 257)/8
Suppose -25*z**3 - 140*z**2 - 140*z + 80 = 0. Calculate z.
-4, -2, 2/5
Solve -i**5 - 5*i**4 - 3*i**3 + 9*i**2 = 0 for i.
-3, 0, 1
Factor w**4/6 + 43*w**3/6 + 7*w**2.
w**2*(w + 1)*(w + 42)/6
Factor -2*a**2/9 - 14*a + 128/9.
-2*(a - 1)*(a + 64)/9
Solve -l**4/4 + 4*l**3 - 29*l**2/4 + 7*l/2 = 0 for l.
0, 1, 14
Factor -c**3 + 52*c**2 + c - 52.
-(c - 52)*(c - 1)*(c + 1)
Factor 4*s**3 - 12*s**2 - 3364*s - 3348.
4*(s - 31)*(s + 1)*(s + 27)
Suppose -2*a**4/3 + 98*a**3/3 - 348*a**2 - 3848*a/3 - 2704/3 = 0. Calculate a.
-2, -1, 26
Factor 8*f**3 + 470*f**2 + 346*f - 116.
2*(f + 1)*(f + 58)*(4*f - 1)
What is x in -3*x**2 - 84*x + 87 = 0?
-29, 1
Find v, given that -3*v**2/5 + 1692*v/5 - 238572/5 = 0.
282
Factor 4*h**4/3 - 16*h**3 + 48*h**2 - 128*h/3.
4*h*(h - 8)*(h - 2)**2/3
Find d such that -2