8*d - 56.
-(d + 4)*(d + 14)
Factor 10*x**2/13 - 2*x/13.
2*x*(5*x - 1)/13
Factor o**4/8 + 31*o**3/8 - 4*o**2.
o**2*(o - 1)*(o + 32)/8
Factor 2*y**3/3 - 46*y**2/3 + 48*y + 480.
2*(y - 15)*(y - 12)*(y + 4)/3
Factor -3*m**2 - 930*m - 72075.
-3*(m + 155)**2
Let -3*h**5/5 - 144*h**4/5 - 81*h**3 = 0. Calculate h.
-45, -3, 0
Determine g so that -2*g**3 + 250*g**2/3 - 848*g/3 + 152 = 0.
2/3, 3, 38
Factor -4*o**2 + 1064*o - 1060.
-4*(o - 265)*(o - 1)
Determine q, given that -6*q**3 - 62*q**2 - 170*q - 50 = 0.
-5, -1/3
Let 2*n**5/19 + 34*n**4/19 - 40*n**3/19 - 72*n**2/19 = 0. Calculate n.
-18, -1, 0, 2
What is d in 2*d**4 - 6*d**3 + 6*d**2 - 2*d = 0?
0, 1
Factor u**4/2 + 15*u**3/2 + 27*u**2/2 + 13*u/2.
u*(u + 1)**2*(u + 13)/2
Find b, given that 2*b**4 - 12*b**3 - 216*b**2 + 460*b - 234 = 0.
-9, 1, 13
Let -200*h**4 - 1080*h**3 + 622*h**2 + 5616*h - 5408 = 0. Calculate h.
-4, 13/10
What is w in 3*w**2 - 6468*w + 3486252 = 0?
1078
Factor o**3 - 13*o**2 + 22*o.
o*(o - 11)*(o - 2)
Solve -5*r**5 - 50*r**4 - 110*r**3 - 20*r**2 + 115*r + 70 = 0 for r.
-7, -2, -1, 1
Solve 20*a**3 + 1145*a**2 + 12325*a + 3010 = 0.
-43, -14, -1/4
Factor 3*y**3 + 114*y**2 + 219*y + 108.
3*(y + 1)**2*(y + 36)
Solve 3*h**2 - 1470*h - 1473 = 0.
-1, 491
What is m in 396*m**5/5 - 588*m**4/5 - 1252*m**3/5 + 2412*m**2/5 - 1128*m/5 + 32 = 0?
-2, 1/3, 1, 20/11
Factor 5*o**2/3 - 200*o + 585.
5*(o - 117)*(o - 3)/3
Factor 3*z**3/5 + 27*z**2/5 + 72*z/5 + 12.
3*(z + 2)**2*(z + 5)/5
Factor 2*m**3/23 - 756*m**2/23 + 95256*m/23 - 4000752/23.
2*(m - 126)**3/23
Factor k**3 + 36*k**2 + 299*k + 600.
(k + 3)*(k + 8)*(k + 25)
What is v in -4*v**3 + 1000*v**2 - 62500*v = 0?
0, 125
Suppose 5*f**5 - 8*f**4 - 19*f**3 - 6*f**2 = 0. What is f?
-1, -2/5, 0, 3
Find f such that 2*f**5/9 - 74*f**4/9 + 30*f**3 - 190*f**2/9 - 272*f/9 + 88/3 = 0.
-1, 1, 2, 33
Factor -3*m**3/5 - 3*m**2 + 6*m/5 + 72/5.
-3*(m - 2)*(m + 3)*(m + 4)/5
Find d such that -2*d**2/17 + 104*d/17 + 106/17 = 0.
-1, 53
Suppose 363*q**3 + 660*q**2 - 2736*q + 1728 = 0. What is q?
-4, 12/11
Find u, given that -5*u**5 + 36*u**4 - 7*u**3 - 180*u**2 + 36*u = 0.
-2, 0, 1/5, 3, 6
Factor -g**4/2 - g**3 + 159*g**2/2 - 470*g + 800.
-(g - 5)**2*(g - 4)*(g + 16)/2
Determine t, given that 5*t**5/3 + 37*t**4/3 + 14*t**3/3 = 0.
-7, -2/5, 0
Factor -5*h**2 + 55*h - 150.
-5*(h - 6)*(h - 5)
Factor -3*u**3/4 + 29*u**2 - 183*u/4 - 37/2.
-(u - 37)*(u - 2)*(3*u + 1)/4
Factor 2*x**5 - 10*x**4 + 12*x**3 + 4*x**2 - 14*x + 6.
2*(x - 3)*(x - 1)**3*(x + 1)
Solve 4*v**2 + 1808*v + 204304 = 0.
-226
Determine c so that -2*c**3/9 + 3604*c**2/9 - 1623602*c/9 = 0.
0, 901
Find g such that 27*g**5 - 492*g**4 + 1755*g**3 - 2310*g**2 + 1188*g - 168 = 0.
2/9, 1, 2, 14
Determine m, given that m**4/2 + 7*m**3 + 13*m**2/2 = 0.
-13, -1, 0
Let -o**2/9 + 16*o/3 + 100/9 = 0. Calculate o.
-2, 50
Let x**2/4 + 21*x/2 - 22 = 0. Calculate x.
-44, 2
Determine j so that 25*j**2 + 90*j + 45 = 0.
-3, -3/5
What is n in -12*n**5 - 123*n**4 + 423*n**3 - 111*n**2 - 411*n + 234 = 0?
-13, -1, 3/4, 1, 2
Factor -c**4/6 + 362*c**3/3 - 67307*c**2/3 + 215390*c - 1062075/2.
-(c - 357)**2*(c - 5)**2/6
Find c, given that c**3/2 - 28*c**2 + 429*c/2 + 5445 = 0.
-10, 33
Let -6*u**4 - 147*u**3/2 - 228*u**2 - 105*u/2 = 0. Calculate u.
-7, -5, -1/4, 0
Factor 6*c**2 + 37*c + 6.
(c + 6)*(6*c + 1)
Factor 3*m**4 + 423*m**3 - 426*m**2.
3*m**2*(m - 1)*(m + 142)
Determine d so that -4*d**4 + 20*d**3 - 32*d**2 + 16*d = 0.
0, 1, 2
Suppose h**3/2 - 21*h**2 + 222*h - 364 = 0. What is h?
2, 14, 26
Find g such that -2*g**3/7 - 192*g**2 - 43008*g - 3211264 = 0.
-224
Suppose 32*j**5 - 272*j**4 + 50*j**3 + 644*j**2 - 110*j - 400 = 0. What is j?
-1, 5/4, 8
What is x in 6*x**2/5 + 1298*x/5 - 868/5 = 0?
-217, 2/3
Let -3*q**3/5 + 15*q**2 - 294*q/5 - 912/5 = 0. Calculate q.
-2, 8, 19
Find t such that -2*t**4/7 + 64*t**3/7 - 498*t**2/7 + 108*t = 0.
0, 2, 9, 21
Factor 2*o**4 + 134*o**3 - 138*o**2 - 134*o + 136.
2*(o - 1)**2*(o + 1)*(o + 68)
Let -2*b**4/13 - 8*b**3/13 + 252*b**2/13 - 1080*b/13 + 1350/13 = 0. Calculate b.
-15, 3, 5
Suppose -v**4/3 + 19*v**3/3 - 97*v**2/3 + 15*v + 54 = 0. What is v?
-1, 2, 9
Determine x so that -2*x**4/9 - 16*x**3/9 + 62*x**2/9 - 44*x/9 = 0.
-11, 0, 1, 2
What is l in l**3 + 6*l**2 - 13*l - 42 = 0?
-7, -2, 3
Let -2*l**4 + 150*l**2 - 140*l - 288 = 0. Calculate l.
-9, -1, 2, 8
Factor 2*l**3 - 74*l**2 + 720*l - 648.
2*(l - 18)**2*(l - 1)
Factor 2*w**5 - 50*w**4 - 106*w**3 - 54*w**2.
2*w**2*(w - 27)*(w + 1)**2
Let 18*y**3/7 + 44*y**2/7 - 370*y/21 - 136/21 = 0. What is y?
-4, -1/3, 17/9
Find r such that 14*r**3 + 360*r**2 - 482*r + 108 = 0.
-27, 2/7, 1
Let -3*v**5 - 3*v**4 + 6*v**3 = 0. What is v?
-2, 0, 1
Find p, given that -10000*p**2 + 100*p - 1/4 = 0.
1/200
Find t such that 3*t**4 + 90*t**3 - 981*t**2 + 2748*t - 2340 = 0.
-39, 2, 5
Solve -4*u**2 + 600*u - 22500 = 0 for u.
75
Find c, given that 5*c**4/4 - 5*c**3/4 - 15*c**2/2 + 5*c + 10 = 0.
-2, -1, 2
Let 2*g**3/3 - 6*g**2 + 4*g + 32/3 = 0. Calculate g.
-1, 2, 8
Factor k**4/6 + 169*k**3/2 - 509*k**2/6 - 169*k/2 + 254/3.
(k - 1)**2*(k + 1)*(k + 508)/6
Factor 4*y**3 + 4*y**2 - 4*y - 4.
4*(y - 1)*(y + 1)**2
Solve 2*m**4 + 12*m**3 - 30*m**2 + 16*m = 0.
-8, 0, 1
What is m in -2*m**3 + 476*m**2 - 29250*m + 109512 = 0?
4, 117
Find q such that 4*q**2 + 12136*q + 9205156 = 0.
-1517
Factor 4*p**3 + 84*p**2.
4*p**2*(p + 21)
Find s such that s**2/6 + 17*s/3 + 11/2 = 0.
-33, -1
Factor 20*p**3 + 52*p**2 - 24*p.
4*p*(p + 3)*(5*p - 2)
Determine y, given that -4*y**3/3 - 20*y**2/3 + 176*y/3 - 80 = 0.
-10, 2, 3
Factor 2*z**3/3 - 16*z**2 + 250*z/3 - 68.
2*(z - 17)*(z - 6)*(z - 1)/3
Find d, given that d**2/2 + 25*d/2 + 72 = 0.
-16, -9
Find a, given that -4*a**3 - 88*a**2 - 512*a - 896 = 0.
-14, -4
Factor -2*m**2/11 - 10*m/11 - 12/11.
-2*(m + 2)*(m + 3)/11
Solve -5*l**2 - 4935*l - 9850 = 0.
-985, -2
Find x such that -2*x**3/7 + 1674*x**2/7 - 49680*x - 151200 = 0.
-3, 420
Find h, given that 2*h**2/7 + 332*h/7 + 13778/7 = 0.
-83
Find t such that 2*t**3/5 + 892*t**2/5 + 99458*t/5 = 0.
-223, 0
Factor 5*w**2 - 435*w - 5390.
5*(w - 98)*(w + 11)
Factor 4*h**2 + 1600*h - 1604.
4*(h - 1)*(h + 401)
Factor 25*m**4/8 - 5*m**3/2 - 621*m**2/8 + 125*m/2 - 25/2.
(m - 5)*(m + 5)*(5*m - 2)**2/8
Factor -5*n**2 + 15*n - 10.
-5*(n - 2)*(n - 1)
Factor -85*g**2 + 690*g - 80.
-5*(g - 8)*(17*g - 2)
Factor -2*n**2 + 140*n + 912.
-2*(n - 76)*(n + 6)
Let 5*n**5/7 - 13*n**4/7 - 16*n**3/7 + 8*n**2 - 16*n/7 - 16/7 = 0. What is n?
-2, -2/5, 1, 2
Factor -2*x**4/19 + 10*x**3/19 - 18*x**2/19 + 14*x/19 - 4/19.
-2*(x - 2)*(x - 1)**3/19
Factor -i**2/2 - 8*i - 15/2.
-(i + 1)*(i + 15)/2
Let -3*s**4/2 + 135*s**3/2 - 261*s**2/2 + 129*s/2 = 0. What is s?
0, 1, 43
Find c such that 3*c**4 + 918*c**3 + 912*c**2 - 918*c - 915 = 0.
-305, -1, 1
Factor 4*o**3 - 40*o**2 + 128*o - 128.
4*(o - 4)**2*(o - 2)
Factor x**3/2 + 3*x**2 - x/2 - 15.
(x - 2)*(x + 3)*(x + 5)/2
Find j, given that 5*j**3/8 - 1991*j**2/4 + 198403*j/2 - 39601 = 0.
2/5, 398
What is h in -h**4 + 18*h**3 + 19*h**2 = 0?
-1, 0, 19
Factor x**3/3 + 59*x**2/3 + 899*x/3 + 841/3.
(x + 1)*(x + 29)**2/3
Factor s**2/4 - 80*s + 6400.
(s - 160)**2/4
Factor -2*w**3/3 + 8*w**2 - 22*w/3.
-2*w*(w - 11)*(w - 1)/3
Determine u so that -20*u**4 - 145*u**3 + 945*u**2 + 1345*u + 275 = 0.
-11, -1, -1/4, 5
Factor -3*x**2/7 + 237*x/7 + 2970/7.
-3*(x - 90)*(x + 11)/7
Factor -2*f**3/5 + 338*f**2/5 + 682*f/5 + 342/5.
-2*(f - 171)*(f + 1)**2/5
Let -9*y**3 + 3*y**2/2 + 9*y - 3/2 = 0. What is y?
-1, 1/6, 1
Determine s so that 2*s**3 + 34*s**2 + 182*s + 294 = 0.
-7, -3
Factor -k**2/8 + 1985*k/8 + 993/4.
-(k - 1986)*(k + 1)/8
Factor 2*h**2/13 + 562*h/13 + 560/13.
2*(h + 1)*(h + 280)/13
Find g such that 4*g**5/7 - 8*g**4/7 - 2024*g**3/7 + 21632*g**2/7 - 37180*g/7 + 17576/7 = 0.
-26, 1, 13
Factor n**2 + 1182*n + 349281.
(n + 591)**2
Factor 5*z**3 + 60*z**2 + 100*z.
5*z*(z + 2)*(z + 10)
Factor 2*k**3 + 4066*k**2 + 4064*k.
2*k*(k + 1)*(k + 2032)
Factor 5*q**4 + 1780*q**3 + 160190*q**2 + 315060*q + 156645.
5*(q + 1)**2*(q + 177)**2
Factor k**2/2 - 23*k + 44.
(k - 44)*(k - 2)/2
Factor 165*m**2/7 + 177*m/7 + 12/7.
3*(m + 1)*(55*m + 4)/7
What is j in -26*j**2 + 362*j + 28 = 0?
-1/13, 14
Determine k so that -5*k**5/3 - 385*k**4 = 0.
-231, 0
Factor x**3/7 - x**2 + 16*x/7 - 12/7.
(x - 3)*(x - 2)**2/7
Factor b**2/7