2/5
Solve -3*f**4 + 42*f**3 + 213*f**2 + 72*f - 324 = 0 for f.
-3, -2, 1, 18
Solve 5*g**3/3 + 55*g**2/3 + 40*g - 60 = 0.
-6, 1
Factor f**5 - 98*f**4 + 469*f**3 - 372*f**2.
f**2*(f - 93)*(f - 4)*(f - 1)
Factor 5*a**3 + 165*a**2 + 835*a + 675.
5*(a + 1)*(a + 5)*(a + 27)
Let 4*l**4/3 + 364*l**3/3 - 252*l**2 - 372*l = 0. What is l?
-93, -1, 0, 3
Let -p**2/8 + 1283*p/4 - 2565/8 = 0. What is p?
1, 2565
Factor 3*h**2/2 - 29*h + 19/2.
(h - 19)*(3*h - 1)/2
Determine j, given that 7*j**3 + 142*j**2 + 733*j + 198 = 0.
-11, -9, -2/7
Suppose -o**4/3 - 326*o**3/3 + 1315*o**2/3 - 1648*o/3 + 220 = 0. What is o?
-330, 1, 2
What is k in -9*k**4 - 75*k**3 - 162*k**2 - 36*k + 120 = 0?
-5, -2, 2/3
Find q, given that q**3/5 - 134*q**2/5 - 548*q/5 - 552/5 = 0.
-2, 138
Find j, given that 5*j**4 - 5*j**3 - 35*j**2 + 5*j + 30 = 0.
-2, -1, 1, 3
What is x in 3*x**5 + 18*x**4 + 30*x**3 - 33*x - 18 = 0?
-3, -2, -1, 1
Let 6*k**4 + 69*k**3/2 - 411*k**2 + 921*k/2 - 90 = 0. Calculate k.
-12, 1/4, 1, 5
Suppose -2*m**3/3 + 4*m**2/3 + 58*m/3 + 28 = 0. What is m?
-3, -2, 7
Let -4*f**3/3 + 128*f**2/3 + 44*f = 0. What is f?
-1, 0, 33
Solve 2*j**4 - 6*j**3 - 2*j**2 + 6*j = 0 for j.
-1, 0, 1, 3
Let -v**5/4 + 11*v**4/2 - 23*v**3 + 61*v**2/2 - 51*v/4 = 0. What is v?
0, 1, 3, 17
Factor n**4/5 + 13*n**3/5 + 26*n**2/5 - 8*n.
n*(n - 1)*(n + 4)*(n + 10)/5
Factor h**5 - 27*h**4 + 238*h**3 - 762*h**2 + 913*h - 363.
(h - 11)**2*(h - 3)*(h - 1)**2
Factor 5*h**4 + 25*h**3 + 30*h**2 - 20*h - 40.
5*(h - 1)*(h + 2)**3
Determine v so that 9*v**5/5 + 51*v**4/5 + 48*v**3/5 - 168*v**2/5 - 336*v/5 - 144/5 = 0.
-3, -2, -2/3, 2
Factor -3*o**2/7 - 375*o/7 - 1098/7.
-3*(o + 3)*(o + 122)/7
Factor -3*s**5 + 15*s**4 + 27*s**3 - 243*s**2 + 324*s.
-3*s*(s - 3)**3*(s + 4)
Solve 5*f**2/4 + 365*f/4 + 355/2 = 0 for f.
-71, -2
Factor -2*v**2 - 70*v + 72.
-2*(v - 1)*(v + 36)
Factor f**4/4 - 17*f**3/2 - 37*f**2 - 38*f.
f*(f - 38)*(f + 2)**2/4
Factor 5*a**2/3 - 40*a/3 - 15.
5*(a - 9)*(a + 1)/3
Find v such that -2*v**2/7 - 286*v/7 - 1112/7 = 0.
-139, -4
Factor -3*k**2 - 3726*k - 1156923.
-3*(k + 621)**2
Factor 4*d**4/3 + 11*d**3/3 - d**2.
d**2*(d + 3)*(4*d - 1)/3
Factor -23*w**4 + 21*w**3 + 25*w**2 - 21*w - 2.
-(w - 1)**2*(w + 1)*(23*w + 2)
Suppose w**5/2 - 19*w**4 + 355*w**3/2 - 375*w**2 = 0. What is w?
0, 3, 10, 25
Determine i, given that i**2/2 + 6*i = 0.
-12, 0
Determine k so that 3*k**3 - 1968*k**2/7 - 2559*k/7 - 570/7 = 0.
-1, -2/7, 95
Suppose 3*d**5 - 6*d**4 - 9*d**3 + 12*d**2 + 12*d = 0. Calculate d.
-1, 0, 2
Factor -4*c**3 - 1980*c**2 - 246012*c - 244036.
-4*(c + 1)*(c + 247)**2
Let 4*t**2 + 113*t + 28 = 0. Calculate t.
-28, -1/4
Suppose 5*i**2 - 10875*i - 10880 = 0. Calculate i.
-1, 2176
Factor 2*x**3/17 - 4*x**2 + 66*x/17.
2*x*(x - 33)*(x - 1)/17
Suppose -5*s**4 - 40*s**3 + 45*s**2 = 0. What is s?
-9, 0, 1
Factor -w**3/12 - 7*w**2/12 - w.
-w*(w + 3)*(w + 4)/12
Let 597*c**3 - c**2/3 - 597*c + 1/3 = 0. Calculate c.
-1, 1/1791, 1
Let 3*g**4 - 345*g**3 = 0. Calculate g.
0, 115
What is z in 34*z**5/9 - 346*z**4/9 + 122*z**3/3 - 6*z**2 = 0?
0, 3/17, 1, 9
Determine d so that -2*d**4 + 19*d**3/4 - 3*d**2/2 = 0.
0, 3/8, 2
Let -579121*p**2 + 3044*p - 4 = 0. What is p?
2/761
Let y**3 - 7*y**2 - 104*y - 240 = 0. What is y?
-4, 15
Factor -4*j**3/3 + 928*j**2/3 - 54740*j/3 + 105800/3.
-4*(j - 115)**2*(j - 2)/3
Find s such that 44*s**2 + 48*s + 4 = 0.
-1, -1/11
Factor 3*v**3/2 + 161*v**2/3 + 474*v - 108.
(v + 18)**2*(9*v - 2)/6
Factor 2*l**2/5 + 314*l/5 - 636/5.
2*(l - 2)*(l + 159)/5
Find n, given that 4*n**4 - 48*n**3 - 56*n**2 + 48*n + 52 = 0.
-1, 1, 13
Factor 10*b**3 + 226*b**2 - 92*b.
2*b*(b + 23)*(5*b - 2)
Factor 3*c**5/7 - 3*c**4/7 - 54*c**3/7 + 156*c**2/7 - 120*c/7.
3*c*(c - 2)**3*(c + 5)/7
Factor c**3/2 - 2*c**2 + c/2 + 3.
(c - 3)*(c - 2)*(c + 1)/2
Factor -r**4/5 + 13*r**3/5 + 9*r**2 + 47*r/5 + 16/5.
-(r - 16)*(r + 1)**3/5
Let -v**4 + 9*v**3 - 8*v**2 = 0. What is v?
0, 1, 8
Factor -3*g**4 + 3*g**3 + 45*g**2 + 69*g + 30.
-3*(g - 5)*(g + 1)**2*(g + 2)
Factor -t**4/3 + 406*t**3/3 - 38701*t**2/3 - 169708*t - 524172.
-(t - 209)**2*(t + 6)**2/3
Factor k**2/2 + 41*k + 1681/2.
(k + 41)**2/2
Determine f, given that 2*f**2 + 56*f = 0.
-28, 0
Factor 5*i**3 - 85*i**2.
5*i**2*(i - 17)
Factor 128*d**4 - 3616*d**3 + 25986*d**2 - 6328*d + 392.
2*(d - 14)**2*(8*d - 1)**2
Solve -2*t**3/15 - 62*t**2/5 - 272*t/3 = 0.
-85, -8, 0
Suppose 4*n**5 + 40*n**4 - 1784*n**3 + 11984*n**2 - 8428*n - 79576 = 0. Calculate n.
-29, -2, 7
Find y, given that 4*y**2 + 7096*y + 3147076 = 0.
-887
Factor 5*n**3 - 100*n**2 - 5*n + 100.
5*(n - 20)*(n - 1)*(n + 1)
Suppose r**4/6 + r**3/6 - r**2/2 - r/6 + 1/3 = 0. What is r?
-2, -1, 1
Factor i**2/2 + 3*i + 9/2.
(i + 3)**2/2
What is i in 42050*i**2/17 + 1160*i/17 + 8/17 = 0?
-2/145
Find j, given that -2*j**2/5 - 1804*j/5 - 406802/5 = 0.
-451
Factor 507*h**5 - 1170*h**4 + 831*h**3 - 180*h**2 + 12*h.
3*h*(h - 1)**2*(13*h - 2)**2
Factor 5*d**2 + 380*d + 740.
5*(d + 2)*(d + 74)
Factor -4*x**2 + 35144*x - 77193796.
-4*(x - 4393)**2
Determine w, given that -45*w**4 + 30*w**3 + 475*w**2 + 500*w = 0.
-5/3, 0, 4
What is v in -5*v**3 - 80*v**2 - 75*v = 0?
-15, -1, 0
Find f, given that 17*f**2/2 - 2*f = 0.
0, 4/17
Determine j so that 18*j**5/5 + 438*j**4 - 9778*j**3/5 + 6362*j**2/5 + 7824*j/5 + 1512/5 = 0.
-126, -1/3, 2, 3
Factor 3*z**5 + 447*z**4 + 22494*z**3 + 396606*z**2 + 727503*z + 352947.
3*(z + 1)**2*(z + 49)**3
Find l, given that 2*l**3/5 + 12*l**2 + 384*l/5 + 704/5 = 0.
-22, -4
Factor -4*b**3 + 192*b**2 + 816*b + 832.
-4*(b - 52)*(b + 2)**2
Solve -2*d**3/7 + 2*d**2 + 2*d/7 - 2 = 0 for d.
-1, 1, 7
Factor -2*t**5/7 - 500*t**4/7 + 2020*t**3/7 - 3040*t**2/7 + 290*t - 508/7.
-2*(t - 1)**4*(t + 254)/7
Factor 15*k**4 - 145*k**3 - 215*k**2 - 55*k.
5*k*(k - 11)*(k + 1)*(3*k + 1)
Solve 10*f**4/3 - 37*f**3/2 + 127*f**2/6 + 25*f/2 + 3/2 = 0 for f.
-1/4, -1/5, 3
Solve -2*h**3/3 + 92*h**2/3 - 178*h/3 + 88/3 = 0 for h.
1, 44
Suppose -3*c**2/4 + 465*c/4 - 459/2 = 0. What is c?
2, 153
Suppose 5*r**2 - 8540*r + 3646580 = 0. Calculate r.
854
Solve 3*t**2 - 83*t + 54 = 0.
2/3, 27
Factor 5*o**2 + 115*o.
5*o*(o + 23)
Suppose 3*m**4/7 + m**3/7 - 3*m**2 - 25*m/7 - 6/7 = 0. What is m?
-2, -1, -1/3, 3
Solve -4*g**2/3 - 32272*g/3 - 65092624/3 = 0 for g.
-4034
Factor 3*z**3 - 42*z**2 + 120*z.
3*z*(z - 10)*(z - 4)
Find u, given that -u**2 - 726*u + 1456 = 0.
-728, 2
What is c in -4*c**5/3 - 64*c**4/3 - 244*c**3/3 + 200*c**2/3 + 896*c/3 + 512/3 = 0?
-8, -1, 2
Factor -3*x**4 + 176*x**3 - 286*x**2 + 56*x + 57.
-(x - 57)*(x - 1)**2*(3*x + 1)
What is o in -o**2 + 28*o - 27 = 0?
1, 27
Find p such that -5*p**2 + 140*p = 0.
0, 28
Solve 3*o**2/2 + 9210*o + 14137350 = 0 for o.
-3070
Solve 106276*j**2/5 - 23472*j/5 + 1296/5 = 0.
18/163
Let w**4/3 - w**3/3 - 2*w**2/3 = 0. Calculate w.
-1, 0, 2
Let 14*n**3 + 62*n**2 = 0. Calculate n.
-31/7, 0
Let 228*d**4 - 1962*d**3 + 17289*d**2/4 - 867*d/2 = 0. Calculate d.
0, 2/19, 17/4
Factor 2*v**3 - 16*v**2 - 40*v.
2*v*(v - 10)*(v + 2)
Determine w so that -3*w**4 - 1296*w**3 - 137352*w**2 + 565056*w - 570288 = 0.
-218, 2
Factor -2*x**3 - 168*x**2 - 330*x - 164.
-2*(x + 1)**2*(x + 82)
Factor -4*t**2 + 204*t.
-4*t*(t - 51)
Let 4*j**2 + 26184*j + 42850116 = 0. What is j?
-3273
Solve 2*j**2/7 + 100*j + 8750 = 0.
-175
Find o such that 12*o**3/17 - 406*o**2/17 + 200*o + 34 = 0.
-1/6, 17
Suppose -y**4/6 - 21*y**3/2 - 61*y**2/6 + 21*y/2 + 31/3 = 0. Calculate y.
-62, -1, 1
Factor -3*j**2 + 2046*j - 348843.
-3*(j - 341)**2
Solve -2*p**4 - 103*p**3 - 241*p**2 + 199*p + 147 = 0 for p.
-49, -3, -1/2, 1
Find f such that 2*f**4/9 - 8*f**3 - 2*f**2/9 + 8*f = 0.
-1, 0, 1, 36
Factor -2*h**2/13 - 62*h/13 - 368/13.
-2*(h + 8)*(h + 23)/13
Factor b**4 - 2*b**3 - b**2 + 2*b.
b*(b - 2)*(b - 1)*(b + 1)
Find h such that -2*h**5 - 220*h**4 - 6048*h**3 + 220*h**2 + 6050*h = 0.
-55, -1, 0, 1
Solve -4*h**3 - 468*h**2 - 456*h + 928 = 0 for h.
-116, -2, 1
Suppose -2*l**3/3 + 14*l**2 + 98*l/3 - 46 = 0. Calculate l.
-3, 1, 23
Factor 3*x**2/5 - 942*x/5 + 73947/5.
3*(x - 157)**2/5
Factor b**4/7 - 12*b**3/7 + 27*b**2/7 + 40*b/7.
b*(b - 8)*(b - 5)*(b + 1)/7
Suppose -g**2/3 + 7*g/3 - 10/3 = 0. What is g?
2, 5
What is t in 2*t**4/13 + 10*t**3/13 - 72*t**2/13 = 0?
-9, 0, 4
Factor -5*z**2/4 - 9550*z - 18240500.
-5*(z + 3820)**2/4
Factor 4*h**3 - 22*h**2 