 - 2*h**3/3 + h**2/6 + 2*h/3.
-h*(h - 1)*(h + 1)*(h + 4)/6
Factor 3*a**2 + 177*a.
3*a*(a + 59)
What is s in -s**2 - 15*s + 34 = 0?
-17, 2
Factor -x**3/4 + 17*x**2/4 + x/4 - 17/4.
-(x - 17)*(x - 1)*(x + 1)/4
Suppose o**5/2 - 17*o**4/2 - 309*o**3/2 + 17*o**2/2 + 154*o = 0. What is o?
-11, -1, 0, 1, 28
Determine v so that 2*v**3/9 + 722*v**2/9 + 7280*v + 7200 = 0.
-180, -1
Factor -2*k**5 - 52*k**4 + 168*k**3 - 172*k**2 + 58*k.
-2*k*(k - 1)**3*(k + 29)
Factor -4*v**3 - 1460*v**2 - 132492*v + 133956.
-4*(v - 1)*(v + 183)**2
Factor 4*u**4 + 36*u**3 + 92*u**2 + 12*u - 144.
4*(u - 1)*(u + 3)**2*(u + 4)
Let 5*x**2 + 50160*x + 125801280 = 0. What is x?
-5016
Find t such that -4*t**4 - 8*t**3 + 124*t**2 + 368*t + 240 = 0.
-5, -2, -1, 6
Determine p, given that 4*p**3 - 816*p**2 + 55488*p - 1257728 = 0.
68
Let 4*q**5/5 - 4*q**4/5 - 12*q**3 - 92*q**2/5 - 8*q = 0. What is q?
-2, -1, 0, 5
Factor -i**3/4 - 45*i**2/4 + 23*i/2.
-i*(i - 1)*(i + 46)/4
Factor d**3/6 - d**2/3 - d/2.
d*(d - 3)*(d + 1)/6
Find g, given that 2*g**5/7 + 128*g**4/7 + 310*g**3 + 3844*g**2/7 = 0.
-31, -2, 0
What is a in 9261*a**3/2 + 1323*a**2/2 + 63*a/2 + 1/2 = 0?
-1/21
Suppose 129*y**2/2 - 126*y - 6 = 0. What is y?
-2/43, 2
Find j such that -50*j**3 - 1710*j**2 - 1998*j - 594 = 0.
-33, -3/5
Factor 3*a**4 + 24*a**3 + 66*a**2 + 72*a + 27.
3*(a + 1)**2*(a + 3)**2
Suppose 20*s**5 - 92*s**4 + 156*s**3 - 116*s**2 + 32*s = 0. Calculate s.
0, 1, 8/5
Find y, given that 5*y**2 - 180*y - 185 = 0.
-1, 37
Suppose -3*r**4/8 - 3*r**3 - 21*r**2/4 + 3*r + 45/8 = 0. What is r?
-5, -3, -1, 1
Solve t**5 - 26*t**4 + 139*t**3 + 418*t**2 - 140*t - 392 = 0 for t.
-2, -1, 1, 14
Find t, given that -5*t**5 + 60*t**4 - 185*t**3 - 90*t**2 + 820*t - 600 = 0.
-2, 1, 2, 5, 6
Factor -3*h**3/7 + 93*h**2/7 - 165*h/7 - 261/7.
-3*(h - 29)*(h - 3)*(h + 1)/7
Solve -2*i**4/3 + 46*i**3/9 - 56*i**2/9 - 8*i/3 = 0 for i.
-1/3, 0, 2, 6
Factor 3*x**3 - 21*x**2 - 12*x + 84.
3*(x - 7)*(x - 2)*(x + 2)
Suppose -x**2/2 + 256*x - 32768 = 0. What is x?
256
Determine t, given that -2*t**4 - 154*t**3 - 2542*t**2 + 16810*t = 0.
-41, 0, 5
Let -2*w**5/3 - 2*w**4/3 + 10*w**3 + 10*w**2/3 - 68*w/3 - 16 = 0. Calculate w.
-4, -1, 2, 3
Solve 12*h**3 - 93*h**2 + 168*h + 48 = 0.
-1/4, 4
Find q, given that 3*q**5 - 39*q**4 + 201*q**3 - 513*q**2 + 648*q - 324 = 0.
2, 3
Factor -f**2/8 - 312*f.
-f*(f + 2496)/8
Determine f so that -6*f**4/5 + 72*f**3/5 + 6*f**2/5 - 72*f/5 = 0.
-1, 0, 1, 12
Find d such that d**4/2 - 2*d**3 - 7*d**2/2 + 17*d - 12 = 0.
-3, 1, 2, 4
Solve 2*y**2/9 - 278*y/9 + 616/3 = 0 for y.
7, 132
Find d such that 2*d**2 - 16*d + 14 = 0.
1, 7
Factor 3*y**3 - 4482*y**2 - 3*y + 4482.
3*(y - 1494)*(y - 1)*(y + 1)
Factor 2*v**5/7 - 2*v**4/7 - 18*v**3/7 - 22*v**2/7 - 8*v/7.
2*v*(v - 4)*(v + 1)**3/7
Factor -d**4 + 23*d**3 + 29*d**2 - 123*d + 72.
-(d - 24)*(d - 1)**2*(d + 3)
Solve 2*s**4/5 + 58*s**3/5 - 186*s**2/5 + 38*s - 64/5 = 0.
-32, 1
Factor 2*z**4/3 + 590*z**3 + 784993*z**2/6 + 130390*z + 97682/3.
(z + 442)**2*(2*z + 1)**2/6
Factor w**3/4 - 61*w**2/4 + 1235*w/4 - 8303/4.
(w - 23)*(w - 19)**2/4
Find c, given that 5*c**3 - 100*c**2 + 640*c - 1280 = 0.
4, 8
Determine z, given that -12*z**4 + 40*z**3 - 40*z + 12 = 0.
-1, 1/3, 1, 3
Let 3*g**2 + 60*g - 63 = 0. What is g?
-21, 1
Suppose 3*s**4/5 + 240*s**3 - 1203*s**2/5 = 0. Calculate s.
-401, 0, 1
Determine d so that -2*d**3/5 - 42*d**2/5 - 8*d = 0.
-20, -1, 0
Determine h, given that -h**5/2 - 17*h**4/2 + 39*h**3 - 61*h**2 + 83*h/2 - 21/2 = 0.
-21, 1
Let 3*s**2 + 10686*s + 9515883 = 0. What is s?
-1781
Factor -c**4 - 475*c**3 + 1911*c**2 - 2393*c + 958.
-(c - 2)*(c - 1)**2*(c + 479)
What is v in -4*v**5 + 88*v**4 - 456*v**3 - 272*v**2 + 1580*v - 936 = 0?
-2, 1, 9, 13
Suppose -117*p**3/10 - 66*p**2/5 - 49*p/10 - 3/5 = 0. Calculate p.
-6/13, -1/3
Solve l**5/3 + 94*l**4/3 + 3217*l**3/3 + 47572*l**2/3 + 278320*l/3 + 548800/3 = 0.
-28, -5
Determine a, given that -4*a**2 + 1208*a - 91204 = 0.
151
Factor 2*a**2/3 + 94*a - 284/3.
2*(a - 1)*(a + 142)/3
Factor b**2/7 - 100*b/7 + 291/7.
(b - 97)*(b - 3)/7
What is g in 120*g**2/7 - 102*g/7 + 3 = 0?
7/20, 1/2
Factor -6*h**4 - 130*h**3 + 44*h**2.
-2*h**2*(h + 22)*(3*h - 1)
Solve 4*y**5 + 48*y**4 + 224*y**3 + 504*y**2 + 540*y + 216 = 0.
-3, -2, -1
Factor 4*l**4/5 - 71*l**3/5 + 303*l**2/5 + 27*l - 243/5.
(l - 9)**2*(l + 1)*(4*l - 3)/5
What is f in -3*f**2/7 - 216*f/7 + 1920/7 = 0?
-80, 8
Find a such that 4*a**2/7 - 456*a/7 + 452/7 = 0.
1, 113
Factor -3*c**2/5 + 2274*c/5 - 430923/5.
-3*(c - 379)**2/5
Determine p, given that 4*p**2 - 3008*p + 565504 = 0.
376
Let -5*s**5 - 20*s**4 + 105*s**3 - 20*s**2 - 140*s = 0. Calculate s.
-7, -1, 0, 2
Suppose 2*l**3/11 - 26*l**2/11 + 96*l/11 - 72/11 = 0. Calculate l.
1, 6
Solve -4*y**4/5 - 448*y**3/5 + 852*y**2 - 11552*y/5 + 7744/5 = 0.
-121, 1, 4
Factor z**4/5 + z**3 - 22*z**2/5 + 16*z/5.
z*(z - 2)*(z - 1)*(z + 8)/5
Let -3*t**2 - 612*t - 31212 = 0. Calculate t.
-102
Suppose 5*p**3/2 + 41*p**2/4 + 39*p/4 = 0. Calculate p.
-13/5, -3/2, 0
Suppose -5*b**2 + 5*b + 280 = 0. Calculate b.
-7, 8
Solve 6*p**2 - 2217*p/2 - 555/2 = 0.
-1/4, 185
Solve c**4/4 - 29*c**3/4 + 103*c**2/2 - 136*c + 120 = 0 for c.
2, 3, 4, 20
Suppose 12*h**3/5 - 122*h**2/5 + 24*h + 54/5 = 0. What is h?
-1/3, 3/2, 9
Determine f so that 4*f**4 - 88*f**3 - 188*f**2 - 96*f = 0.
-1, 0, 24
Factor -5*o**3 + 180*o.
-5*o*(o - 6)*(o + 6)
Find v, given that 4*v**5/7 - 48*v**4/7 - 132*v**3/7 + 256*v**2/7 + 48*v = 0.
-3, -1, 0, 2, 14
Factor 3*f**2/4 + 3*f/4 - 15.
3*(f - 4)*(f + 5)/4
Suppose -686*d**5 - 301056*d**4 + 344624*d**3 - 147776*d**2 + 197088*d/7 - 14080/7 = 0. What is d?
-440, 2/7
Factor 3*f**2 - 78*f + 507.
3*(f - 13)**2
Factor -t**4 - 9*t**3 - 25*t**2 - 27*t - 10.
-(t + 1)**2*(t + 2)*(t + 5)
Let -v**5/8 + 53*v**4/4 - 2809*v**3/8 = 0. What is v?
0, 53
Factor -6734*i**2 - 4*i.
-2*i*(3367*i + 2)
Find g such that g**2/6 + 7*g/6 + 5/3 = 0.
-5, -2
Let 3*r**2 + 1491*r + 1488 = 0. Calculate r.
-496, -1
Suppose -q**2/4 - q/4 + 5 = 0. What is q?
-5, 4
Determine j, given that -484*j**3 + 1408*j**2 + 131*j + 3 = 0.
-1/22, 3
Factor -30*b**3 + 57*b**2 + 96*b + 9.
-3*(b - 3)*(b + 1)*(10*b + 1)
Find z, given that 4*z**2 - 68*z - 152 = 0.
-2, 19
Solve -175*i**2 - 345*i + 10 = 0 for i.
-2, 1/35
Factor -3*f**4 - 1770*f**3/7 - 72*f**2.
-3*f**2*(f + 84)*(7*f + 2)/7
Factor -4*a**2/5 - 10304*a/5.
-4*a*(a + 2576)/5
Let -x**3/3 - 1886*x**2/3 + 629*x = 0. Calculate x.
-1887, 0, 1
Factor k**5/5 + 161*k**4/10 + 488*k**3 + 6640*k**2 + 35200*k + 16000.
(k + 20)**4*(2*k + 1)/10
Factor 2*w**4/3 + 3688*w**3/3 + 850084*w**2 + 783777448*w/3 + 90330350882/3.
2*(w + 461)**4/3
Determine k so that -7*k**4/3 - k**3 + 7*k**2 + 23*k/3 + 2 = 0.
-1, -3/7, 2
Factor -4*q**2/7 - 8*q/7 + 12/7.
-4*(q - 1)*(q + 3)/7
Factor 2*r**2 + 108*r.
2*r*(r + 54)
Solve -3*i**4/2 + 21*i**2/2 + 9*i = 0.
-2, -1, 0, 3
Find f such that -2*f**4/17 - 8*f**3/17 - 6*f**2/17 + 8*f/17 + 8/17 = 0.
-2, -1, 1
Find l such that -6*l**5 + 63*l**4 - 198*l**3 + 120*l**2 + 252*l - 135 = 0.
-1, 1/2, 3, 5
Factor -2*g**2/5 - 38*g/5 - 156/5.
-2*(g + 6)*(g + 13)/5
Factor 2*l**2/11 - 12*l/11 + 10/11.
2*(l - 5)*(l - 1)/11
Factor 137*u**4 - 687*u**3 + 969*u**2 - 425*u + 6.
(u - 3)*(u - 1)**2*(137*u - 2)
Let 6*d**2 + 1912*d - 638 = 0. Calculate d.
-319, 1/3
Factor -2*f**3/13 + 10*f**2/13 + 100*f/13.
-2*f*(f - 10)*(f + 5)/13
Determine i, given that -i**3/3 - 25*i**2 - 561*i - 3267 = 0.
-33, -9
Determine b, given that -3*b**3 + 96*b**2 - 363*b - 1134 = 0.
-2, 7, 27
Factor 3*l**4 + 2118*l**3 + 375939*l**2 + 745536*l + 371712.
3*(l + 1)**2*(l + 352)**2
Factor -p**2 + 4*p.
-p*(p - 4)
Factor 2*l**5 - 12*l**4 + 16*l**3 + 4*l**2 - 18*l + 8.
2*(l - 4)*(l - 1)**3*(l + 1)
Solve y**2 - 118*y + 3481 = 0 for y.
59
Factor -4*h**3 + 288*h**2.
-4*h**2*(h - 72)
Let -2*s**5/3 + 6*s**4 - 4*s**3 - 148*s**2/3 + 90*s - 42 = 0. Calculate s.
-3, 1, 3, 7
Factor q**2 + 55*q + 250.
(q + 5)*(q + 50)
Find o, given that -o**3 + 13*o**2 + 20*o - 84 = 0.
-3, 2, 14
Solve -4*j**4/3 - 142*j**3/3 + 98*j**2/3 + 316*j + 144 = 0.
-36, -2, -1/2, 3
Factor -2*d**2 - 280*d - 822.
-2*(d + 3)*(d + 137)
Find c such that -2*c**5/3 - 110*c**4/3 - 2300*c**3/3 - 7500*c**2 - 33750*c - 56250 = 0.
-15, -5
Find y such that -y**2/7 - 600*y/7 - 90000/7 = 0.
-300
Factor -2*c**2/5 - 80*c + 2898/5.
-2*(c - 7)*(c