39204/19 = 0.
-81, -11, 2/3
Factor -f**3/7 + 1203*f**2/7 - 51600*f - 51772.
-(f - 602)**2*(f + 1)/7
Factor 2*o**2 - 20*o - 48.
2*(o - 12)*(o + 2)
Factor 12*s**3 + 164*s**2 + 100*s - 52.
4*(s + 1)*(s + 13)*(3*s - 1)
Suppose -2*k**3/5 - 6*k**2 + 104*k/5 - 72/5 = 0. Calculate k.
-18, 1, 2
Factor 4*r**4/7 + 2*r**3 + 18*r**2/7 + 10*r/7 + 2/7.
2*(r + 1)**3*(2*r + 1)/7
Factor w**2/4 + 205*w + 42025.
(w + 410)**2/4
Find z such that -2*z**5/5 + 2*z**4/5 + 28*z**3/5 - 56*z**2/5 - 16*z/5 + 64/5 = 0.
-4, -1, 2
Find f, given that 4*f**4/3 - 556*f**3/3 - 376*f**2 = 0.
-2, 0, 141
Let -60*h**4 + 460*h**3 - 3545*h**2/3 + 1150*h - 375 = 0. Calculate h.
5/6, 3
Factor 2*h**4/5 - 6*h**3/5 + 6*h**2/5 - 2*h/5.
2*h*(h - 1)**3/5
Find g, given that 4*g**4 + 8*g**3 - 44*g**2 - 48*g = 0.
-4, -1, 0, 3
Factor 3*b**3 - 9*b**2 - 759*b + 765.
3*(b - 17)*(b - 1)*(b + 15)
What is b in -b**2/2 + 11*b/2 - 15 = 0?
5, 6
Factor 2*x**3 - 288*x**2 + 10368*x.
2*x*(x - 72)**2
Factor -q**2/2 - 164*q - 13448.
-(q + 164)**2/2
Factor -2*u**2/11 + 80*u/11.
-2*u*(u - 40)/11
Solve t**3/7 - 524*t**2/7 + 523*t/7 = 0.
0, 1, 523
Find f such that 2*f**3/5 - 26*f**2/5 + 72*f/5 = 0.
0, 4, 9
Factor -2*r**5 + 2*r**4 + 6*r**3 - 10*r**2 + 4*r.
-2*r*(r - 1)**3*(r + 2)
Solve 3*t**2 - 76*t + 25 = 0.
1/3, 25
Determine v so that -8*v**4/9 - 28*v**3/9 + 112*v**2/9 - 16*v/3 = 0.
-6, 0, 1/2, 2
Determine n so that -18*n**5 + 123*n**4 + 523*n**3 + 478*n**2 - 64*n - 160 = 0.
-4/3, -1, 1/2, 10
Factor 4*a**2/7 - 248*a/7 + 2820/7.
4*(a - 47)*(a - 15)/7
Suppose i**3/3 + 59*i**2/3 + 424*i/3 + 272 = 0. What is i?
-51, -4
Solve -2*x**3/21 + 374*x**2/21 + 36*x = 0 for x.
-2, 0, 189
Find m such that -m**3/4 + 97*m**2/4 - 47*m/2 - 48 = 0.
-1, 2, 96
Solve -3*m**4 + 2847*m**3 - 674025*m**2 - 676875*m = 0 for m.
-1, 0, 475
Determine v, given that 3*v**4 - 36*v**3 + 90*v**2 - 84*v + 27 = 0.
1, 9
Solve n**5 - 8*n**4 - 45*n**3 + 220*n**2 + 1024*n + 768 = 0.
-4, -3, -1, 8
Solve f**2/3 - 14*f/3 + 8 = 0.
2, 12
Find q such that 162*q**5 + 468*q**4 - 976*q**3 - 1088*q**2 - 256*q = 0.
-4, -4/9, 0, 2
Factor 2*s**2/3 - 61*s/2 - 72.
(s - 48)*(4*s + 9)/6
Solve -3*m**2/5 = 0.
0
Factor -3*l**3/8 + 351*l**2/8 - 13689*l/8 + 177957/8.
-3*(l - 39)**3/8
Solve m**3/2 + 4*m**2/5 - 13*m/10 = 0.
-13/5, 0, 1
Factor 2*b**3 - 2*b**2 - 32*b - 40.
2*(b - 5)*(b + 2)**2
Suppose 8*h**2/5 - 5378*h/5 + 1344/5 = 0. What is h?
1/4, 672
Factor -2*x**2/5 + 8*x + 192/5.
-2*(x - 24)*(x + 4)/5
Factor -p**4 + 21*p**2 + 20*p.
-p*(p - 5)*(p + 1)*(p + 4)
Factor 20*h**2 - 2492*h - 1000.
4*(h - 125)*(5*h + 2)
Determine m so that 5*m**5 + 30*m**4 + 55*m**3 + 10*m**2 - 60*m - 40 = 0.
-2, -1, 1
Solve -n**5/3 + n**4/3 + 5*n**3/3 + n**2 = 0.
-1, 0, 3
Determine h, given that -h**4/6 + 2*h**3 - 8*h**2 + 32*h/3 = 0.
0, 4
Factor -44521*j**2/4 + 211*j - 1.
-(211*j - 2)**2/4
Let -15*q**4/7 + 57*q**3/7 + 177*q**2/7 + 123*q/7 + 18/7 = 0. What is q?
-1, -1/5, 6
Factor -t**5/6 - 43*t**4/6 - 293*t**3/3 - 345*t**2 + 2025*t/2 - 1125/2.
-(t - 1)**2*(t + 15)**3/6
What is l in 3*l**5 + 21*l**4 - 51*l**3 + 27*l**2 = 0?
-9, 0, 1
Determine z so that -3*z**3/4 + 29*z**2/2 + 171*z/4 + 55/2 = 0.
-5/3, -1, 22
Factor 2*w**5 - 4*w**4 - 8*w**3 + 4*w**2 + 6*w.
2*w*(w - 3)*(w - 1)*(w + 1)**2
Find x such that 3*x**2/4 - 1131*x/4 - 1143 = 0.
-4, 381
Solve -2*j**5/9 + 10*j**4/9 - 4*j**3/9 - 28*j**2/9 + 2*j/3 + 2 = 0.
-1, 1, 3
Solve -9*d**4 + 147*d**3 - 42*d**2 - 96*d = 0 for d.
-2/3, 0, 1, 16
Determine x, given that 7*x**4 - 46*x**3 + 39*x**2 = 0.
0, 1, 39/7
Suppose -7*f**3/11 + 4*f**2 - 12*f/11 = 0. What is f?
0, 2/7, 6
Solve -2*g**2 + 266*g + 268 = 0.
-1, 134
Factor -15*y**2/2 - 51*y/2 - 9.
-3*(y + 3)*(5*y + 2)/2
Factor -7*r**4/4 - r**3 + 7*r**2 + 4*r.
-r*(r - 2)*(r + 2)*(7*r + 4)/4
Suppose -15*d**4 + 109*d**3 - 174*d**2 + 12*d + 40 = 0. Calculate d.
-2/5, 2/3, 2, 5
Factor o**5/5 - 28*o**4/5.
o**4*(o - 28)/5
Factor -3*w**5/2 + 87*w**4/2 - 489*w**3/2 - 2019*w**2/2 - 1104*w - 384.
-3*(w - 16)**2*(w + 1)**3/2
Factor 2*f**3/11 + 178*f**2/11 - 2*f/11 - 178/11.
2*(f - 1)*(f + 1)*(f + 89)/11
Determine u so that u**3 + 32*u**2 - 67*u + 34 = 0.
-34, 1
Let -g**3/8 - 3*g**2/4 - 3*g/2 - 1 = 0. Calculate g.
-2
Solve 4*g**5 + 692*g**4/5 + 940*g**3 - 22132*g**2/5 + 22496*g/5 - 5776/5 = 0 for g.
-19, 2/5, 1, 2
Suppose 71*b**4/5 - 43*b**3 + 6*b**2/5 = 0. What is b?
0, 2/71, 3
Find z such that z**3/4 + 3*z**2/2 - 15*z/4 - 25 = 0.
-5, 4
What is b in 2*b**4/7 + 2*b**3 - 8*b**2 + 40*b/7 = 0?
-10, 0, 1, 2
Determine q so that -6*q**5 - 4*q**4 + 6*q**3 + 4*q**2 = 0.
-1, -2/3, 0, 1
Solve 2*k**5/9 + 8*k**4/9 - 136*k**3/9 + 212*k**2/9 + 134*k/9 - 220/9 = 0.
-11, -1, 1, 2, 5
Solve 4*t**5 + 68*t**4 - 624*t**3 + 1168*t**2 + 320*t - 1536 = 0 for t.
-24, -1, 2, 4
Factor y**4/4 + 9*y**3/4 - 5*y**2/2.
y**2*(y - 1)*(y + 10)/4
What is z in -4*z**4 + 24*z**3 + 32*z**2 - 384*z + 512 = 0?
-4, 2, 4
Suppose -2*h**4 - 2*h**3 + 114*h**2 + 2*h - 112 = 0. Calculate h.
-8, -1, 1, 7
Determine q so that -q**3 + 507*q**2 - 85683*q + 4826809 = 0.
169
Solve 2*w**2/5 + 402*w/5 - 404/5 = 0 for w.
-202, 1
Let 4*m**4/5 + 121*m**3/5 + 146*m**2/5 + 29*m/5 = 0. Calculate m.
-29, -1, -1/4, 0
Factor -2*d**3/9 + 70*d**2/9 - 416*d/9 + 224/3.
-2*(d - 28)*(d - 4)*(d - 3)/9
Factor j**5/4 + 9*j**4/4 + 29*j**3/4 + 43*j**2/4 + 15*j/2 + 2.
(j + 1)**3*(j + 2)*(j + 4)/4
Suppose -20*v**2 + 815*v + 205 = 0. Calculate v.
-1/4, 41
Find y such that y**3/6 + 7007*y**2/6 + 12278015*y/6 + 12271009/6 = 0.
-3503, -1
Factor -4*l**3 + 352*l**2 + 732*l - 1080.
-4*(l - 90)*(l - 1)*(l + 3)
Factor v**3/8 + 11*v**2/4 - 288*v - 8100.
(v - 50)*(v + 36)**2/8
Factor -m**4/4 + 7*m**3/4 + 3*m**2/4 - 55*m/4 - 25/2.
-(m - 5)**2*(m + 1)*(m + 2)/4
Factor -2*y**2/3 + 158*y/3 + 108.
-2*(y - 81)*(y + 2)/3
Suppose -4*v**2/3 + 784/3 = 0. Calculate v.
-14, 14
Find x such that -36*x**3 - 10*x**2 + 4*x = 0.
-1/2, 0, 2/9
Factor -5*c**5 + 555*c**4 - 1635*c**3 + 1625*c**2 - 540*c.
-5*c*(c - 108)*(c - 1)**3
Suppose 10*m**4/3 - 244*m**3/21 + 46*m**2/7 + 244*m/21 - 208/21 = 0. What is m?
-1, 1, 52/35, 2
Factor -2*f**3 - 10*f**2 + 100*f.
-2*f*(f - 5)*(f + 10)
Let -6*f**4/17 - 20*f**3/17 - 18*f**2/17 - 4*f/17 = 0. What is f?
-2, -1, -1/3, 0
Factor -2*k**2 - 62*k + 444.
-2*(k - 6)*(k + 37)
Factor -o**5 + 9*o**4 + 22*o**3 + 2*o**2 - 21*o - 11.
-(o - 11)*(o - 1)*(o + 1)**3
Factor 5*y**2 - 1440*y + 103680.
5*(y - 144)**2
Factor -4*s**2/9 + 1160*s/9.
-4*s*(s - 290)/9
Let 11*g**4 - 83*g**3/7 - 128*g**2/7 - 4*g = 0. Calculate g.
-7/11, -2/7, 0, 2
What is h in 4*h**2 + 32*h - 192 = 0?
-12, 4
Suppose 147*p**5 - 6090*p**4 - 4104*p**3 + 23856*p**2 + 14064*p + 2016 = 0. What is p?
-2, -2/7, 2, 42
Factor 5*o**2 + 50*o - 280.
5*(o - 4)*(o + 14)
Factor 6*k**2/7 + 232*k/7 - 78/7.
2*(k + 39)*(3*k - 1)/7
Determine z, given that 21*z**4/2 - 87*z**3 + 321*z**2/2 - 102*z + 18 = 0.
2/7, 1, 6
Let 3*f**3/2 - 110*f**2 + 3959*f/2 + 1369 = 0. Calculate f.
-2/3, 37
Solve b**3 + 77*b**2 + 1443*b - 1521 = 0.
-39, 1
Factor p**5 - 2*p**3 + p.
p*(p - 1)**2*(p + 1)**2
Solve 2*g**4/3 - 2*g**3 - 244*g**2/3 - 280*g - 784/3 = 0.
-7, -2, 14
Suppose 2*j**2 - 540*j = 0. Calculate j.
0, 270
Determine g so that -6*g**3 - 328*g**2/3 + 216*g + 160/3 = 0.
-20, -2/9, 2
Solve -3*l**5 - 690*l**4 - 38274*l**3 + 160764*l**2 - 203931*l + 82134 = 0.
-117, 1, 2
What is h in -3*h**5 - 9*h**4 - 9*h**3 - 3*h**2 = 0?
-1, 0
Find x such that -3*x**2/7 + 2724*x/7 - 618348/7 = 0.
454
Determine g, given that 3*g**5 + 447*g**4 + 2610*g**3 + 5172*g**2 + 3432*g = 0.
-143, -2, 0
Determine q so that q**3 - 218*q**2 - 884*q - 888 = 0.
-2, 222
Let 4*n**4 - 72*n**3 + 404*n**2 - 768*n + 432 = 0. Calculate n.
1, 2, 6, 9
Factor 2*z**2/11 - 92*z/11 + 1058/11.
2*(z - 23)**2/11
Suppose -5*l**4 - 290*l**3 - 285*l**2 = 0. What is l?
-57, -1, 0
Factor 3*y**2 + 702*y + 41067.
3*(y + 117)**2
Factor 2*c**4/7 - 16*c**3/7 + 10*c**2/7 + 4*c.
2*c*(c - 7)*(c - 2)*(c + 1)/7
Factor -k**3/5 + k**2 + 8*k/5 - 12/5.
-(k - 6)*(k - 1)*(k + 2)/5
Solve 15*f**3 + 200*f**2 + 595*f - 490 = 0 for f.
-7, 2/3
Find w, given that -3*w**5 + 33*w**4 - 102*w**3 + 42*w**2 + 105*w - 75 = 0.
-1, 1, 5
Suppose 3*n**3 + 255*n**2 + 4089*n - 59643 = 0. What is n?
-47, 9
Factor 4*z**2 + 56*z.
4*z*(z + 14)
Factor 2*c**2/3 + 32*c - 200/3.
2*(c - 2)*(c + 50)/3
Let 5*k**4 + 220*k**3 + 815*k**2 - 6060*k + 7020 = 0. What is k?
-39, -9,