 - 1)/7
Factor -2*m**5 + 24*m**4 + 26*m**3.
-2*m**3*(m - 13)*(m + 1)
Factor -95*o**2 - 5*o + 90.
-5*(o + 1)*(19*o - 18)
Solve 5*j**2 - 55*j - 130 = 0.
-2, 13
Solve 2000*o**5/3 - 15800*o**4/3 + 13205*o**3/3 - 4325*o**2/3 + 635*o/3 - 35/3 = 0.
1/5, 1/4, 7
Factor -2*g**4/17 - 28*g**3/17 - 144*g**2/17 - 320*g/17 - 256/17.
-2*(g + 2)*(g + 4)**3/17
Suppose 3*t**3 + 297*t**2 + 8037*t + 33135 = 0. Calculate t.
-47, -5
Determine y, given that -y**4/12 - 5*y**3/6 + y**2 + 5*y/6 - 11/12 = 0.
-11, -1, 1
Factor -3*g**4 + 132*g**3 - 1782*g**2 + 7068*g - 5415.
-3*(g - 19)**2*(g - 5)*(g - 1)
Let 15*i**2 - 213*i + 42 = 0. Calculate i.
1/5, 14
Determine c, given that -8*c**5 - 64*c**4 - 178*c**3 - 206*c**2 - 102*c - 18 = 0.
-3, -1, -1/2
Solve 5*x**3 + 305*x**2 - 950*x + 640 = 0 for x.
-64, 1, 2
Factor 3*k**3/4 - 81*k**2 + 1995*k.
3*k*(k - 70)*(k - 38)/4
Factor 2*g**4 + 18*g**3 - 24*g**2 - 40*g.
2*g*(g - 2)*(g + 1)*(g + 10)
Factor -12*k**4 - 4*k**3 + 108*k**2 + 36*k.
-4*k*(k - 3)*(k + 3)*(3*k + 1)
Factor -i**4/6 + 172*i**3/3 - 14792*i**2/3.
-i**2*(i - 172)**2/6
Factor -3*h**5 - 105*h**4 + 1278*h**3 - 3174*h**2 + 2949*h - 945.
-3*(h - 7)*(h - 1)**3*(h + 45)
Factor 6*i**3 + 87*i**2 + 255*i - 150.
3*(i + 5)*(i + 10)*(2*i - 1)
Factor -2*f**5/17 + 10*f**4/17 - 16*f**3/17 + 8*f**2/17.
-2*f**2*(f - 2)**2*(f - 1)/17
Factor -2*w**4 + 14*w**3 + 56*w**2 + 40*w.
-2*w*(w - 10)*(w + 1)*(w + 2)
Factor -3*f**3 - 843*f**2 - 1674*f.
-3*f*(f + 2)*(f + 279)
Solve -2*y**5 + 20*y**4 - 34*y**3 - 248*y**2 + 1056*y - 1152 = 0.
-4, 3, 4
Factor -4*f**2 + 392*f - 388.
-4*(f - 97)*(f - 1)
Factor -3*r**4/2 + 29*r**3/4 + 21*r**2/2.
-r**2*(r - 6)*(6*r + 7)/4
Factor 4*o**5 - 24*o**4 + 32*o**3 + 64*o**2 - 192*o + 128.
4*(o - 2)**4*(o + 2)
Find r such that 2*r**3/9 + 706*r**2/3 + 249218*r/3 + 87973954/9 = 0.
-353
Solve 5*i**4 - 65*i**3 - 145*i**2 - 75*i = 0 for i.
-1, 0, 15
Let i**5/3 - 4*i**4 - 134*i**3/3 + 4*i**2 + 133*i/3 = 0. Calculate i.
-7, -1, 0, 1, 19
Let p**3/3 + 1006*p**2/3 - 3025*p/3 + 2018/3 = 0. Calculate p.
-1009, 1, 2
Suppose -124*x**5/15 - 638*x**4/5 - 6758*x**3/15 + 5404*x**2/15 + 1216*x/5 - 256/15 = 0. What is x?
-8, -1/2, 2/31, 1
Determine k so that -2*k**2 - 40*k - 38 = 0.
-19, -1
Find u, given that u**4/5 + 26*u**3/5 + 49*u**2/5 + 24*u/5 = 0.
-24, -1, 0
Find g such that -5*g**5 + 35*g**4 + 5*g**3 - 35*g**2 = 0.
-1, 0, 1, 7
Factor y**3/2 - 13*y**2/2 - 7*y.
y*(y - 14)*(y + 1)/2
Factor r**4/2 + 37*r**3 + 1509*r**2/2 + 2590*r + 2450.
(r + 2)**2*(r + 35)**2/2
Determine b so that 2*b**5/7 - 8*b**4/7 - 24*b**3/7 - 4*b**2/7 + 22*b/7 + 12/7 = 0.
-1, 1, 6
Factor -4*g**4 - 120*g**3 - 628*g**2 + 4080*g - 4624.
-4*(g - 2)**2*(g + 17)**2
Factor -2*v**3/5 - 244*v**2/5 + 494*v/5 - 248/5.
-2*(v - 1)**2*(v + 124)/5
Determine b, given that 2*b**4/23 + 22*b**3/23 + 38*b**2/23 + 18*b/23 = 0.
-9, -1, 0
Factor 4*q**4 - 852*q**3 + 44072*q**2 + 138240*q + 93312.
4*(q - 108)**2*(q + 1)*(q + 2)
Find p such that -p**5/4 + 317*p**4/4 - 314*p**3 + 313*p**2 = 0.
0, 2, 313
Factor -5*o**2 - 1615*o.
-5*o*(o + 323)
Factor 2*p**2/13 - 4872*p/13 - 9752/13.
2*(p - 2438)*(p + 2)/13
Determine g, given that 2000*g**2 - 200*g + 5 = 0.
1/20
Factor 3*j**3/4 - 35*j**2/4 - 7*j/2 + 6.
(j - 12)*(j + 1)*(3*j - 2)/4
Factor 2*w**3/7 - 3134*w**2/7.
2*w**2*(w - 1567)/7
Find a, given that -250*a**4 + 175*a**3 + 185*a**2 - 195*a + 45 = 0.
-1, 1/2, 3/5
Suppose k**4/6 + k**3/2 - 3*k**2/2 + 5*k/6 = 0. Calculate k.
-5, 0, 1
Solve 12*w**2 + 322*w - 54 = 0.
-27, 1/6
Factor -2*o**3 + 24*o**2 - 54*o.
-2*o*(o - 9)*(o - 3)
Let -3*m**5 + 42*m**4 - 138*m**3 - 120*m**2 + 357*m + 294 = 0. What is m?
-1, 2, 7
Factor 80*p**4/3 + 958*p**3/9 + 952*p**2/9 - 8*p/9.
2*p*(p + 2)**2*(120*p - 1)/9
Factor 5*l**2/6 - 18245*l/3 + 66576005/6.
5*(l - 3649)**2/6
Solve -8*n**4 - 328*n**3 + n**2/2 + 41*n/2 = 0.
-41, -1/4, 0, 1/4
Let t**3/3 + 17*t**2 + 228*t + 540 = 0. What is t?
-30, -18, -3
Determine s, given that 2*s**3 + 1342*s**2 + 224448*s - 225792 = 0.
-336, 1
Factor -160*g**2 - 12*g.
-4*g*(40*g + 3)
Factor -4*t**3 - 64*t**2 + 308*t - 240.
-4*(t - 3)*(t - 1)*(t + 20)
Suppose 2*y**3 - 16*y**2 + 2*y + 84 = 0. What is y?
-2, 3, 7
Determine h so that 10*h**4 + 5*h**3 - 5*h**2 = 0.
-1, 0, 1/2
Factor 5*o**4 - 635*o**3 + 18500*o**2 + 106260*o + 87120.
5*(o - 66)**2*(o + 1)*(o + 4)
Factor -36*q**3 + 176*q**2 - 124*q - 16.
-4*(q - 4)*(q - 1)*(9*q + 1)
Factor 2*l**3 + 906*l**2 + 136806*l + 6885902.
2*(l + 151)**3
Let -i**3/4 + i**2 = 0. What is i?
0, 4
Factor -i**2/3 - 2*i/3 + 1.
-(i - 1)*(i + 3)/3
Factor -n**2/4 + 65*n/2 + 66.
-(n - 132)*(n + 2)/4
Solve -t**3 + 55*t**2 - 107*t + 53 = 0.
1, 53
Factor 183*y**2 - 2016*y + 33.
3*(y - 11)*(61*y - 1)
What is x in -9*x**3 - 30*x**2 - 27*x - 6 = 0?
-2, -1, -1/3
Solve -3*b**2 + 321*b - 3906 = 0 for b.
14, 93
Solve 2*u**4 + 16*u**3 + 46*u**2 + 56*u + 24 = 0 for u.
-3, -2, -1
Solve 21*b**4 - 66*b**3 - 516*b**2 - 366*b + 63 = 0 for b.
-3, -1, 1/7, 7
Let -20*z**4/9 - 98*z**3/9 + 14*z**2/9 + 20*z/9 = 0. Calculate z.
-5, -2/5, 0, 1/2
Let u**2/5 - 10208*u/5 + 26050816/5 = 0. Calculate u.
5104
Find k such that -5*k**2 - 9660*k + 9665 = 0.
-1933, 1
Factor 4*b**3 - 240*b**2 + 2100*b - 5000.
4*(b - 50)*(b - 5)**2
Factor -b**3/9 - 89*b**2/3 - 7921*b/3 - 704969/9.
-(b + 89)**3/9
Factor i**3/8 - 35*i**2/8 - 73*i/8 - 37/8.
(i - 37)*(i + 1)**2/8
Determine h so that 3*h**3/7 + 2283*h**2/7 + 433197*h/7 - 435483/7 = 0.
-381, 1
Factor -2*a**2 + 8*a.
-2*a*(a - 4)
Factor 4*z**3/7 - 676*z**2/7 - 1380*z/7 + 2052/7.
4*(z - 171)*(z - 1)*(z + 3)/7
Factor 2*q**4/5 - 2*q**3 + 12*q**2/5.
2*q**2*(q - 3)*(q - 2)/5
Factor w**4/3 - 8*w**3/3 - w**2 + 26*w/3 - 16/3.
(w - 8)*(w - 1)**2*(w + 2)/3
Factor n**5 - 2*n**4 - 3*n**3 + 4*n**2 + 4*n.
n*(n - 2)**2*(n + 1)**2
Factor -4*u**4 - 56*u**3 - 156*u**2 + 216*u.
-4*u*(u - 1)*(u + 6)*(u + 9)
Factor -b**2/2 - 271*b - 73441/2.
-(b + 271)**2/2
Factor -2*q**3/15 - 74*q**2/15 + 2*q/15 + 74/15.
-2*(q - 1)*(q + 1)*(q + 37)/15
Determine r so that 4*r**5/7 + 216*r**4/7 + 3124*r**3/7 + 5616*r**2/7 + 2704*r/7 = 0.
-26, -1, 0
Factor 3*i**3 + 129*i**2 + 453*i - 585.
3*(i - 1)*(i + 5)*(i + 39)
Factor 180*n**4 - 60*n**3 - 1615*n**2 + 540*n - 45.
5*(n - 3)*(n + 3)*(6*n - 1)**2
Let -12*b**3 + 5415*b**2 - 12129*b + 2694 = 0. Calculate b.
1/4, 2, 449
Let 2*x**3/13 + 786*x**2/13 = 0. Calculate x.
-393, 0
Factor 5*o**2 - 7750*o + 7745.
5*(o - 1549)*(o - 1)
Factor -5*x**5 - 30*x**4 - 60*x**3 - 40*x**2.
-5*x**2*(x + 2)**3
Suppose 7*g**3/4 + 47*g**2/4 + 35*g/2 - 6 = 0. What is g?
-4, -3, 2/7
Factor v**3/5 + 9*v**2/5 + 24*v/5 + 4.
(v + 2)**2*(v + 5)/5
Find t, given that -t**2 + 72*t + 468 = 0.
-6, 78
Find h such that -23*h**5/7 + 232*h**4/7 + 3*h**3/7 - 232*h**2/7 + 20*h/7 = 0.
-1, 0, 2/23, 1, 10
Factor 3*v**4/2 + 33*v**3 + 63*v**2/2.
3*v**2*(v + 1)*(v + 21)/2
Find j such that 4*j**5 + 6*j**4 - 38*j**3 + 12*j**2 + 16*j = 0.
-4, -1/2, 0, 1, 2
Find u such that -u**3/4 + 19*u**2/4 - 55*u/4 - 363/4 = 0.
-3, 11
Determine j, given that j**3/4 - j**2 = 0.
0, 4
Find n such that 5*n**2 + 2210*n + 244205 = 0.
-221
Factor 148*j**2 - 16*j.
4*j*(37*j - 4)
Solve -4*a**2 + 24*a + 28 = 0.
-1, 7
Solve -5*v**5 + 20*v**4 - 5*v**3 - 50*v**2 + 20*v + 40 = 0.
-1, 2
Factor -2*a**2 - 130*a/3 - 28.
-2*(a + 21)*(3*a + 2)/3
Solve -5*m**4/2 - 30*m**3 + 45*m**2 + 170*m + 195/2 = 0.
-13, -1, 3
Factor 75*t**3 + 330*t**2 + 363*t.
3*t*(5*t + 11)**2
Find g, given that -3*g**3 - 138*g**2 - 267*g - 132 = 0.
-44, -1
Find r such that -4*r**5 + 60*r**4 - 120*r**3 - 760*r**2 - 900*r - 324 = 0.
-1, 9
Determine r, given that r**2/2 - 11*r = 0.
0, 22
Factor -5*r**4 - 45*r**3 + 110*r**2.
-5*r**2*(r - 2)*(r + 11)
Factor 3*a**2 + 87*a - 510.
3*(a - 5)*(a + 34)
Factor 4*g**3 + 168*g**2 + 164*g.
4*g*(g + 1)*(g + 41)
Factor -5*d**4/2 - 310*d**3 - 615*d**2/2.
-5*d**2*(d + 1)*(d + 123)/2
Factor 3*b**3 - 9*b - 6.
3*(b - 2)*(b + 1)**2
Factor 4*n**4/7 + 64*n**3 + 1792*n**2.
4*n**2*(n + 56)**2/7
Factor 13*k**5/3 + 18*k**4 + 86*k**3/3 + 64*k**2/3 + 7*k + 2/3.
(k + 1)**4*(13*k + 2)/3
Let 28*q**3/5 + 568*q**2/5 + 1588*q/5 + 408/5 = 0. Calculate q.
-17, -3, -2/7
Find u such that -u**3/5 - 73*u**2/5 - 259*u + 1369/5 = 0.
-37, 1
Factor 2*h**2 + 398*h + 3780.
2*(h + 10)*(h + 189)
Let -4*g**4 + 80*g**3 + 1800*g**2 - 54000*g + 337500 = 0. Calculate g.
-25, 15
Determine f so that 5*f**2 - 20*f - 1