r 2*y**2 - 1140*y + 162450.
2*(y - 285)**2
Determine s so that -14*s**3 - 34*s**2 - 12*s = 0.
-2, -3/7, 0
Let -5*m**4 - 283*m**3/3 + 53*m**2/3 + 283*m/3 - 38/3 = 0. Calculate m.
-19, -1, 2/15, 1
Factor -2*k**2/5 + 66*k/5 - 64/5.
-2*(k - 32)*(k - 1)/5
Solve v**5/7 + 9*v**4/7 + 3*v**3/7 - 89*v**2/7 - 48*v/7 + 36 = 0.
-7, -3, 2
Solve -n**3/2 + 93*n**2 - 4416*n + 8464 = 0 for n.
2, 92
Suppose -2*l**2/11 + 78*l/11 - 580/11 = 0. Calculate l.
10, 29
Solve 65*y**4 + 705*y**3 + 1450*y**2 - 2580*y + 360 = 0 for y.
-6, 2/13, 1
Factor -4*n**2 - 4*n + 8.
-4*(n - 1)*(n + 2)
Find m, given that -m**5/2 + 6*m**4 + 231*m**3/2 - 121*m**2 = 0.
-11, 0, 1, 22
Factor 3*i**4 + 15*i**3 - 2250*i**2 + 28500*i - 105000.
3*(i - 10)**3*(i + 35)
Factor 2*h**3/7 - 10770*h**2/7 + 14493726*h/7 + 14504498/7.
2*(h - 2693)**2*(h + 1)/7
What is i in -3*i**4/5 + 4*i**3 - 23*i**2/5 - 2*i = 0?
-1/3, 0, 2, 5
Let -2*p**2 - 12*p - 16 = 0. Calculate p.
-4, -2
Solve n**3/9 - 314*n**2/9 + 4249*n/9 - 4900/3 = 0.
7, 300
Factor -h**4 + 95*h**3 - 519*h**2 - 1327*h - 712.
-(h - 89)*(h - 8)*(h + 1)**2
Factor g**2/4 - 1.
(g - 2)*(g + 2)/4
Let 4*m**5 - 344*m**4 + 5044*m**3 + 101136*m**2 + 345744*m = 0. What is m?
-6, 0, 49
Solve k**2 - 506*k + 64009 = 0.
253
Find s such that 5*s**5 + 10*s**4 - 25*s**3 - 30*s**2 = 0.
-3, -1, 0, 2
Factor 2*z**2/13 - 12*z/13 - 14/13.
2*(z - 7)*(z + 1)/13
Solve -3*x**4/4 - 237*x**3/4 + 309*x**2 - 501*x + 252 = 0.
-84, 1, 2
Factor -4*o**4 + 18*o**3 - 20*o**2 + 6*o.
-2*o*(o - 3)*(o - 1)*(2*o - 1)
Suppose 2*o**3 + 1026*o**2 + 175446*o + 10000422 = 0. Calculate o.
-171
Factor 2*n**5 - 14*n**3 + 12*n**2.
2*n**2*(n - 2)*(n - 1)*(n + 3)
Factor k**3/2 + k**2 - k/2 - 1.
(k - 1)*(k + 1)*(k + 2)/2
Factor -2*p**2/13 + 8*p/13 - 8/13.
-2*(p - 2)**2/13
Solve -5*p**3 + 29790*p**2 - 59162940*p + 39165866280 = 0.
1986
Factor h**2 - 85*h + 400.
(h - 80)*(h - 5)
Suppose 2*s**5 - 5904*s**4 + 5809536*s**3 - 1905527808*s**2 = 0. What is s?
0, 984
Factor 2*l**2 + 142*l.
2*l*(l + 71)
Find d such that 3*d**4 - 45*d**3/4 + 15*d**2/4 + 45*d/4 - 27/4 = 0.
-1, 3/4, 1, 3
Find s, given that 3*s**4/7 + 15*s**3/7 - 18*s**2/7 = 0.
-6, 0, 1
Find b, given that -35*b**5 + 635*b**4 - 4185*b**3 + 11925*b**2 - 12960*b + 1620 = 0.
1/7, 3, 6
Factor -2*z**3/3 - 38*z**2/3 + 28*z.
-2*z*(z - 2)*(z + 21)/3
Factor 2*z**4/9 - 2*z**3.
2*z**3*(z - 9)/9
Factor a**2/6 + 80*a/3 + 3200/3.
(a + 80)**2/6
Determine k so that 3*k**4/8 + 45*k**3/4 + 711*k**2/8 - 21*k/2 - 2205/2 = 0.
-14, -5, 3
Factor -g**2/7 + 867*g/7 - 1730/7.
-(g - 865)*(g - 2)/7
Determine p, given that -4*p**3 - 24*p**2 - 36*p - 16 = 0.
-4, -1
Solve -2*l**2 + 26*l - 24 = 0 for l.
1, 12
Factor 2*z**2/5 + 948*z/5 + 112338/5.
2*(z + 237)**2/5
Determine n so that 2*n**4 - 12*n**3 - 104*n**2 - 84*n + 198 = 0.
-3, 1, 11
Let 92*g**3/5 - 452*g**2/5 - 1328*g/5 - 112/5 = 0. Calculate g.
-2, -2/23, 7
Suppose 2*k**5/11 + 58*k**4/11 - 1224*k**3/11 + 4352*k**2/11 + 512*k = 0. What is k?
-44, -1, 0, 8
Factor -4*z**3 - 20*z**2.
-4*z**2*(z + 5)
What is r in -6*r**2/5 + 56412*r/5 - 132596406/5 = 0?
4701
Let 8*x**3 - 4164*x**2 - 8*x + 4164 = 0. What is x?
-1, 1, 1041/2
Solve f**5/5 - 11*f**4/5 - 3*f**3/5 + 7*f**2 - 22*f/5 = 0 for f.
-2, 0, 1, 11
Let -4*v**2 + 1488*v - 138384 = 0. What is v?
186
Factor 4*d**4 - 28*d**3 + 24*d**2 + 112*d - 160.
4*(d - 5)*(d - 2)**2*(d + 2)
Determine x, given that 3*x**3 - 108*x**2 - 885*x - 774 = 0.
-6, -1, 43
Factor 3*m**2 + 5862*m - 5865.
3*(m - 1)*(m + 1955)
Factor -27436*j**3 + 12996*j**2 - 2052*j + 108.
-4*(19*j - 3)**3
Let 8*p**4 + 266*p**3 - 206*p**2 - 68*p = 0. What is p?
-34, -1/4, 0, 1
Determine f so that -2*f**5/19 + 4*f**4/19 + 14*f**3/19 - 16*f**2/19 - 24*f/19 = 0.
-2, -1, 0, 2, 3
Factor -z**2 - 2050*z - 1050625.
-(z + 1025)**2
Factor -2*x**4 + 4*x**3 + 2*x**2 - 4*x.
-2*x*(x - 2)*(x - 1)*(x + 1)
Let 3*v**4/8 - 27*v**3/8 + 21*v**2/8 + 135*v/8 + 21/2 = 0. What is v?
-1, 4, 7
Factor -3*m**4 + 78*m**3 + 9*m**2 - 228*m - 156.
-3*(m - 26)*(m - 2)*(m + 1)**2
Factor 63*s**2 - 60*s - 3.
3*(s - 1)*(21*s + 1)
Factor -5*o**2 - 65*o + 240.
-5*(o - 3)*(o + 16)
Suppose -4*i**3 + 1064*i**2 - 72836*i + 274576 = 0. What is i?
4, 131
Determine a so that 3*a**5 - 54*a**3 + 12*a**2 + 171*a + 108 = 0.
-4, -1, 3
Suppose -6*t**3 + 88*t**2 - 56*t = 0. What is t?
0, 2/3, 14
Factor 3*g**2 - 261*g + 5676.
3*(g - 44)*(g - 43)
Find y, given that -98*y**4 + 3584*y**3 - 33776*y**2 + 18432*y - 2592 = 0.
2/7, 18
Factor 2*g**2/9 + 1330*g/9 - 148.
2*(g - 1)*(g + 666)/9
Factor 5*p**3 + 15095*p**2 + 11400495*p + 11385405.
5*(p + 1)*(p + 1509)**2
Let -1248*c**2 + 3*c = 0. Calculate c.
0, 1/416
Factor 8*g**4 - 44*g**3 + 76*g**2 - 52*g + 12.
4*(g - 3)*(g - 1)**2*(2*g - 1)
Factor -o**3/3 + 23*o**2 - 22*o - 136/3.
-(o - 68)*(o - 2)*(o + 1)/3
Factor 2*r**4 - 102*r**3 - 104*r**2.
2*r**2*(r - 52)*(r + 1)
Find r, given that 4*r**3/7 + 124*r**2/7 + 236*r/7 + 116/7 = 0.
-29, -1
Suppose -3*c**2 + 81*c - 78 = 0. Calculate c.
1, 26
Let j**2 + 9*j = 0. What is j?
-9, 0
Let 2*r**5/7 + 6*r**4/7 - 6*r**3 - 22*r**2/7 + 96*r/7 + 72/7 = 0. What is r?
-6, -1, 2, 3
Determine g, given that 4*g**3 + 40*g**2 - 208*g + 224 = 0.
-14, 2
What is h in -5*h**4/2 - 1100*h**3 + 3315*h**2 - 3320*h + 2215/2 = 0?
-443, 1
Factor 12*z**3 - 5061*z**2 - 1266*z.
3*z*(z - 422)*(4*z + 1)
Factor 2*q**5/9 - 32*q**4/9 + 176*q**3/9 - 128*q**2/3 + 32*q.
2*q*(q - 6)**2*(q - 2)**2/9
Factor 2*y**2/19.
2*y**2/19
Find r, given that -2*r**4/9 + 104*r**3/9 + 214*r**2/9 + 12*r = 0.
-1, 0, 54
Let -5*r**3 - 50*r**2 - 45*r = 0. What is r?
-9, -1, 0
Find g such that -2*g**2 - 66*g + 140 = 0.
-35, 2
Factor 3*y**3/8 - 3*y**2/8 - 3*y/2 + 3/2.
3*(y - 2)*(y - 1)*(y + 2)/8
Factor 2*r**4/7 - 194*r**3/7 + 6138*r**2/7 - 58806*r/7 - 143748/7.
2*(r - 33)**3*(r + 2)/7
Determine x so that x**2/2 - 18*x + 35/2 = 0.
1, 35
Factor -i**4/6 + i**3 - 11*i**2/6 + i.
-i*(i - 3)*(i - 2)*(i - 1)/6
Factor 2*w**2/7 - 11000*w/7 + 15125000/7.
2*(w - 2750)**2/7
Suppose 2*c**5 - 12*c**4 - 30*c**3 - 16*c**2 = 0. What is c?
-1, 0, 8
What is c in -3*c**4 - 311*c**3/2 + 27*c**2 + 52*c = 0?
-52, -1/2, 0, 2/3
Let -4*w**2/7 + 332*w/7 = 0. Calculate w.
0, 83
Solve 2*c**3 + 3506*c**2/5 - 282*c - 2106/5 = 0.
-351, -3/5, 1
Factor 3*x**3/4 + 3*x**2 + 15*x/4 + 3/2.
3*(x + 1)**2*(x + 2)/4
Factor 15*h**4 - 14604*h**3 - 5844*h**2.
3*h**2*(h - 974)*(5*h + 2)
What is o in -24*o**5/11 + 6*o**4/11 + 24*o**3/11 - 6*o**2/11 = 0?
-1, 0, 1/4, 1
Factor -2*k**4 - 32*k**3 - 174*k**2 - 360*k - 216.
-2*(k + 1)*(k + 3)*(k + 6)**2
Factor 2*x**3/7 + 1032*x**2/7 + 134154*x/7 + 264196/7.
2*(x + 2)*(x + 257)**2/7
Determine r, given that -4*r**5/5 + 32*r**4 - 464*r**3 + 2880*r**2 - 6912*r + 27648/5 = 0.
2, 12
Determine f so that f**3 - 4*f**2 - f + 4 = 0.
-1, 1, 4
Factor 2*h**3 + 24*h**2 - 8*h - 96.
2*(h - 2)*(h + 2)*(h + 12)
Suppose -5*x**3 - 45*x**2 - 75*x - 35 = 0. Calculate x.
-7, -1
Factor b**3/3 + 56*b**2 + 3136*b + 175616/3.
(b + 56)**3/3
Factor 2*v**3/19 + 762*v**2/19 + 96774*v/19 + 4096766/19.
2*(v + 127)**3/19
Factor q**4/3 + 755*q**3/3 + 63503*q**2 + 16191257*q/3 + 31626502/3.
(q + 2)*(q + 251)**3/3
Factor 3*z**2 - 14*z + 8.
(z - 4)*(3*z - 2)
Find d, given that 5*d**5 + 55*d**4 + 120*d**3 - 180*d**2 = 0.
-6, 0, 1
Determine a, given that 3*a**2/5 + 2514*a/5 - 2517/5 = 0.
-839, 1
Let -a**3 + 30*a**2 + 31*a = 0. Calculate a.
-1, 0, 31
Suppose -v**4/8 - 17*v**3/8 - 7*v**2 - 13*v/2 = 0. Calculate v.
-13, -2, 0
Factor 5*b**4 + 25*b**3 + 20*b**2.
5*b**2*(b + 1)*(b + 4)
Determine y, given that -24*y**4 + 651*y**3 - 2910*y**2 + 4596*y - 2376 = 0.
9/8, 2, 22
Factor -j**2/3 - 29*j.
-j*(j + 87)/3
Factor -5*d**3 + 5*d**2 + 20*d - 20.
-5*(d - 2)*(d - 1)*(d + 2)
Factor -3*b**4/7 - 363*b**3/7 - 14391*b**2/7 - 25215*b + 413526/7.
-3*(b - 2)*(b + 41)**3/7
Factor 2*p**3 + 120*p**2 + 1800*p.
2*p*(p + 30)**2
Factor -s**3/7 + 3*s**2/7 - 3*s/7 + 1/7.
-(s - 1)**3/7
Determine a, given that -a**3/2 + 99*a**2 + 805*a/2 + 303 = 0.
-3, -1, 202
Suppose k**2/2 + 436*k - 874 = 0. Calculate k.
-874, 2
Suppose -2*p**3/7 - 8*p**2/7 - 10*p/7 - 4/7 = 0. What is p?
-2, -1
Suppose 5*z**2 - 210*z - 1440 = 0. What is z?
-6, 48
Determine d so that -9*d**4/4 + 201*d**3/2 - 1029*d**2/4 + 222*d - 63 = 0.
2/3, 1, 42
Determine r, given that -2*r**5 - 11*r**4/3 + 27*r**3 + 74*r**2/3 - 56*r = 0.
-4, -2, 0, 7/6, 3
Determine g s