3 + 155*h/6.
5*h*(h + 1)*(h + 31)/6
Factor -3*o**2 + 249*o + 252.
-3*(o - 84)*(o + 1)
Factor k**4/6 - 7*k**3/6 + 5*k**2/6 + 7*k/6 - 1.
(k - 6)*(k - 1)**2*(k + 1)/6
Let 2*q**3/11 - 12*q**2/11 + 18*q/11 - 8/11 = 0. What is q?
1, 4
Factor -4*v**2/5 + 36*v/5 + 8.
-4*(v - 10)*(v + 1)/5
Factor 2162*o**2 - 50*o - 12.
2*(23*o - 2)*(47*o + 3)
Let -3*y**3 + 21*y**2 + 84*y + 60 = 0. Calculate y.
-2, -1, 10
Factor y**4 + 1245*y**3 + 3729*y**2 + 3727*y + 1242.
(y + 1)**3*(y + 1242)
Suppose -m**4/2 + 3*m**2 + 4*m + 3/2 = 0. Calculate m.
-1, 3
Factor 24*i**4 - 4*i**3 - 52*i**2 + 4*i + 28.
4*(i - 1)*(i + 1)**2*(6*i - 7)
Let b**5/4 - b**4/4 - 2*b**3 + 2*b**2 + 4*b - 4 = 0. What is b?
-2, 1, 2
Factor -o**4/3 + 26*o**3/3 - 35*o**2 - 300*o.
-o*(o - 15)**2*(o + 4)/3
Let 4*x**5 - 52*x**4 + 100*x**3 + 372*x**2 + 216*x = 0. Calculate x.
-1, 0, 6, 9
Let 2*x**2/11 + 1080*x/11 + 145800/11 = 0. What is x?
-270
Determine c so that 4*c**3/3 - 8*c**2 - 28*c/3 + 80 = 0.
-3, 4, 5
Solve 20*r**5/13 + 166*r**4/13 + 348*r**3/13 - 70*r**2/13 - 368*r/13 - 96/13 = 0 for r.
-4, -1, -3/10, 1
Factor 2*j**2/3 + 8048*j/3 + 8096288/3.
2*(j + 2012)**2/3
Factor 2*r**4/3 - 2*r**3/3 - 4*r**2/3.
2*r**2*(r - 2)*(r + 1)/3
Factor 2*s**5/15 - 4*s**4/15 - 2*s**3/5 + 8*s**2/15 + 8*s/15.
2*s*(s - 2)**2*(s + 1)**2/15
Factor h**3 - 23*h**2 - h + 23.
(h - 23)*(h - 1)*(h + 1)
Factor -o**3 - 155*o**2 - 3827*o + 182183.
-(o - 23)*(o + 89)**2
Suppose -g**5/2 - 15*g**4/2 - 31*g**3 - 17*g**2 + 63*g/2 + 49/2 = 0. Calculate g.
-7, -1, 1
Factor 3*j**4/2 - 285*j**3/2.
3*j**3*(j - 95)/2
Factor -l**5 + 13*l**3 + 12*l**2.
-l**2*(l - 4)*(l + 1)*(l + 3)
Find o, given that 6*o**4 - 65*o**3 + 17*o**2 + 42*o = 0.
-2/3, 0, 1, 21/2
Factor r**2/4 + 307*r/4 + 153/2.
(r + 1)*(r + 306)/4
Suppose 2*h**4 + 30*h**3 + 26*h**2 - 30*h - 28 = 0. What is h?
-14, -1, 1
Factor 2*d**4/7 + 54*d**3/7 - 2*d**2/7 - 54*d/7.
2*d*(d - 1)*(d + 1)*(d + 27)/7
Let -625*n**5 + 4500*n**4 + 15700*n**3 + 17190*n**2 + 7965*n + 1350 = 0. Calculate n.
-1, -3/5, 10
Find j, given that j**2/2 - 311*j/4 - 39 = 0.
-1/2, 156
Solve 4*d**4 - 7*d**3 - 2*d**2 = 0 for d.
-1/4, 0, 2
Factor 2*i**2/3 + 4*i + 16/3.
2*(i + 2)*(i + 4)/3
Factor m**3/6 + 52*m**2/3 + 512*m + 3072.
(m + 8)*(m + 48)**2/6
Factor 2*r**3/3 - 26*r**2 + 50*r - 74/3.
2*(r - 37)*(r - 1)**2/3
Factor 3*y**4 - 6*y**3 - 9*y**2.
3*y**2*(y - 3)*(y + 1)
Let -2*m**5/7 + 20*m**4/7 - 50*m**3/7 = 0. Calculate m.
0, 5
Factor -2*w**2/23 - 354*w/23 - 352/23.
-2*(w + 1)*(w + 176)/23
Let k**5/3 + 26*k**4/3 - 118*k**3/3 + 64*k**2/3 + 39*k - 30 = 0. What is k?
-30, -1, 1, 3
Suppose -5*w**4 + 65*w**3 - 180*w**2 = 0. What is w?
0, 4, 9
Suppose -v**2/3 - 52*v/3 = 0. What is v?
-52, 0
Suppose 2*k**3/15 - 136*k**2/15 + 198*k - 6804/5 = 0. Calculate k.
14, 27
What is d in -45*d**4 + 405*d**3/2 + 20*d**2 - 390*d - 200 = 0?
-5/6, -2/3, 2, 4
Suppose k**5/3 - 22*k**4/3 - 103*k**3/3 - 32*k**2/3 + 52*k = 0. What is k?
-3, -2, 0, 1, 26
Factor 2*j**3/7 + 2*j**2 - 72/7.
2*(j - 2)*(j + 3)*(j + 6)/7
Let -o**3/8 + 5*o**2 - 73*o/8 - 57/4 = 0. What is o?
-1, 3, 38
Find a such that -2*a**5 - 72*a**4 + 76*a**3 + 72*a**2 - 74*a = 0.
-37, -1, 0, 1
Factor -3*l**5/5 + 1323*l**4/5 - 147834*l**3/5 + 435594*l**2/5 - 432963*l/5 + 143883/5.
-3*(l - 219)**2*(l - 1)**3/5
Factor -18*v**3/13 - 66*v**2/13 + 370*v/13 - 350/13.
-2*(v + 7)*(3*v - 5)**2/13
Suppose 5*k**4 + 325*k**3 + 5430*k**2 + 4480*k - 10240 = 0. What is k?
-32, -2, 1
Solve 75*j**4/4 - 165*j**3/2 - 297*j**2/4 + 78*j + 60 = 0.
-4/5, 1, 5
Find o such that -8*o**3 - 148*o**2 - 124*o + 280 = 0.
-35/2, -2, 1
Suppose -2*b**5 - 781*b**4/2 - 25446*b**3 - 555295*b**2 - 118300*b + 823875/2 = 0. What is b?
-65, -1, 3/4
Suppose q**5/2 + 541*q**4/6 + 356*q**3/3 - 358*q**2/3 = 0. What is q?
-179, -2, 0, 2/3
Suppose -2*q**5 + 54*q**4 - 118*q**3 - 726*q**2 + 2520*q - 1728 = 0. Calculate q.
-4, 1, 3, 24
Solve 3*f**2 - 3555*f + 3552 = 0 for f.
1, 1184
Factor -2*m**2/5 - 8*m/5 + 2.
-2*(m - 1)*(m + 5)/5
Find s, given that 6*s**3 + 1268*s**2 + 66568*s - 44944 = 0.
-106, 2/3
Suppose 3*t**4 - 3*t**3 - 21*t**2 + 3*t + 18 = 0. What is t?
-2, -1, 1, 3
Determine j so that -j**5/2 - 4*j**4 + 109*j**3/2 - 146*j**2 + 96*j = 0.
-16, 0, 1, 3, 4
Factor -2*n**2/15 - 6032*n/15 - 4548128/15.
-2*(n + 1508)**2/15
Suppose 15*s**5 + 580*s**4 + 3395*s**3 + 6390*s**2 + 4840*s + 1280 = 0. Calculate s.
-32, -4, -1, -2/3
Solve -5*t**3 - 340*t**2 - 1300*t - 1280 = 0.
-64, -2
Let 2*l**4 - 20*l**3 + 18*l**2 = 0. What is l?
0, 1, 9
Let -n**4/3 + 15*n**2 - 140*n/3 + 32 = 0. Calculate n.
-8, 1, 3, 4
Factor 2*v**2/7 - 6*v + 76/7.
2*(v - 19)*(v - 2)/7
Suppose -4*w**3 + 152*w**2 - 1540*w + 4704 = 0. Calculate w.
7, 24
What is i in 25*i**3 - 190*i**2 + 465*i - 360 = 0?
8/5, 3
Solve -5*l**2 + 145*l - 140 = 0 for l.
1, 28
Suppose z**3 - 20*z**2/3 + 9*z - 10/3 = 0. Calculate z.
2/3, 1, 5
Factor -2*a**3/5 + 6*a**2/5 + 2*a/5 - 6/5.
-2*(a - 3)*(a - 1)*(a + 1)/5
Factor 3*p**3/5 - 219*p**2/5 + 1032*p/5 - 816/5.
3*(p - 68)*(p - 4)*(p - 1)/5
Suppose -53240*c**5/3 + 99220*c**4/3 + 4730*c**3 + 655*c**2/3 + 10*c/3 = 0. Calculate c.
-1/22, 0, 2
Find f, given that -2*f**2 + 1104*f + 1106 = 0.
-1, 553
Factor -f**2 + 100*f - 2500.
-(f - 50)**2
Factor -v**3/8 + 15*v**2/8 - 27*v/8 + 13/8.
-(v - 13)*(v - 1)**2/8
Determine m, given that -m**2 + 26*m + 27 = 0.
-1, 27
Factor -5*c**5 - 242*c**4 + 3264*c**3 - 12736*c**2 + 13568*c + 7680.
-(c - 4)**3*(c + 60)*(5*c + 2)
What is t in -57*t**2 - 287*t - 10 = 0?
-5, -2/57
What is a in -3*a**4 + 30*a**3 - 45*a**2 - 30*a + 48 = 0?
-1, 1, 2, 8
Suppose 2*g**5/13 - 86*g**4/13 + 242*g**3/13 - 74*g**2/13 - 244*g/13 + 160/13 = 0. Calculate g.
-1, 1, 2, 40
Solve 45*d**5 - 1300*d**4 + 12005*d**3 - 30150*d**2 - 48500*d - 5000 = 0 for d.
-1, -1/9, 10
Factor -2*x**3 + 12*x**2 - 10*x.
-2*x*(x - 5)*(x - 1)
Solve 4*j**5 + 12*j**4 - 16*j**3 - 48*j**2 = 0 for j.
-3, -2, 0, 2
Let 2*l**4/7 - 6*l**3/7 + 8*l/7 = 0. What is l?
-1, 0, 2
Factor 2*t**2/5 - 2*t + 12/5.
2*(t - 3)*(t - 2)/5
Factor -3*j**4 + 75*j**3 + 3*j**2 - 75*j.
-3*j*(j - 25)*(j - 1)*(j + 1)
Factor -u**5/2 - 3*u**4/2 + 9*u**3/2 - 5*u**2/2.
-u**2*(u - 1)**2*(u + 5)/2
Suppose m**4/5 + 2*m**3 + 13*m**2/5 - 12*m + 36/5 = 0. What is m?
-6, 1
Factor 4*l**3 - 92*l**2 - 96*l.
4*l*(l - 24)*(l + 1)
Suppose i**5 + 12*i**4 - 22*i**3 - 396*i**2 + 405*i = 0. Calculate i.
-9, 0, 1, 5
Factor 2*i**2/15 + 2*i/5 - 12/5.
2*(i - 3)*(i + 6)/15
What is f in 2*f**5/9 + 2*f**4/3 - 52*f**3/9 + 4*f**2 + 50*f/9 - 14/3 = 0?
-7, -1, 1, 3
Factor -3*q**3 - 39*q**2 + 90*q.
-3*q*(q - 2)*(q + 15)
Factor -76*t**3 + 6544*t**2 - 141212*t + 14792.
-4*(t - 43)**2*(19*t - 2)
Determine a so that -a**2 - 13*a + 14 = 0.
-14, 1
Factor -a**2/8 - 310*a + 2481/8.
-(a - 1)*(a + 2481)/8
Solve -3*a**3/5 - 3*a**2 - 21*a/5 - 9/5 = 0.
-3, -1
Factor 5*t**3/4 + 515*t**2/4 + 505*t/2.
5*t*(t + 2)*(t + 101)/4
Determine g so that 18*g**5 + 57*g**4 + 38*g**3 - 41*g**2 - 56*g - 16 = 0.
-4/3, -1, -1/2, 1
Factor i**4/2 - 27*i**3/2 + 57*i**2 - 44*i.
i*(i - 22)*(i - 4)*(i - 1)/2
Let -4*w**5/3 + 32*w**4/3 - 28*w**3 + 24*w**2 = 0. Calculate w.
0, 2, 3
Factor -2*q**4 + 10*q**3 + 116*q**2 + 176*q.
-2*q*(q - 11)*(q + 2)*(q + 4)
Factor 11*z**3 - 13*z**2 - 7*z + 9.
(z - 1)**2*(11*z + 9)
Solve s**3/4 - 4829*s**2/4 + 5827395*s/4 + 5832225/4 = 0.
-1, 2415
Let -24*q**3/5 + 153*q**2/5 - 54*q + 81/5 = 0. Calculate q.
3/8, 3
Solve -5*b**5 + 80*b**4 = 0.
0, 16
Factor 2*l**3 - 72*l**2 - 74*l.
2*l*(l - 37)*(l + 1)
Find r, given that -r**4 - 23*r**3/3 + 107*r**2/3 - 11*r = 0.
-11, 0, 1/3, 3
Determine m so that 2*m**5/3 - 6*m**4 - 2*m**3/3 + 6*m**2 = 0.
-1, 0, 1, 9
Find p such that -3*p**3 + 9*p**2 + 66*p - 72 = 0.
-4, 1, 6
Factor 26*t**5/9 - 206*t**4/9 + 400*t**3/9 + 32*t**2/9.
2*t**2*(t - 4)**2*(13*t + 1)/9
Factor -2*u**4/5 + 12*u**3/5 + 14*u**2/5.
-2*u**2*(u - 7)*(u + 1)/5
Factor 3*k**3 - 42*k**2 + 147*k.
3*k*(k - 7)**2
Factor y**2/9 + 53*y/9 - 488/9.
(y - 8)*(y + 61)/9
Solve 4*r**2 + 392*r + 9604 = 0.
-49
Solve -w**5/3 + 46*w**4 + 280*w**3/3 = 0 for w.
-2, 0, 140
Determine p so that -p**4/2 + 101*p**3 - 10397*p**2/2 + 9700*p + 15000 = 0.
-1, 3, 100
Suppose 4*o**4 + 40*o**3 - 51*o**2 - 79*o - 22 = 0. What is o?
-11, -1/2, 2
Factor -2*z**3/15 + 26*z**2/15 - 32*z/15 - 128/5.
-2*(z - 8)**2*(z + 3)/15
Factor c**2/10 + 1747*c/5 + 3052009/10.
(c + 1747)**2/10
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