, 9
Let 3*u**4 - 1152*u**3 + 111738*u**2 - 220032*u + 109443 = 0. What is u?
1, 191
Suppose -5*u**5 + 5*u**4 + 15*u**3 - 5*u**2 - 10*u = 0. Calculate u.
-1, 0, 1, 2
Let 2*t**5/9 + 70*t**4/9 + 124*t**3/3 + 716*t**2/9 + 586*t/9 + 58/3 = 0. Calculate t.
-29, -3, -1
Let 3*v**3/4 - 9*v**2/2 - 21*v/4 = 0. What is v?
-1, 0, 7
Factor z**2/6 - 13*z/6 - 7/3.
(z - 14)*(z + 1)/6
Factor 2*d**3/3 - 20*d**2/3 - 46*d/3 - 8.
2*(d - 12)*(d + 1)**2/3
Let -5*o**3 + 20*o**2 - 5*o - 30 = 0. What is o?
-1, 2, 3
Factor -2*q**3/21 - 10*q**2/21 - 2*q/7 + 6/7.
-2*(q - 1)*(q + 3)**2/21
Factor -21*r**2 - 150*r - 144.
-3*(r + 6)*(7*r + 8)
Solve -2*h**4/5 - 186*h**3 + 934*h**2/5 + 186*h - 932/5 = 0.
-466, -1, 1
Let -7*n**4/2 + 132*n**3 - 452*n**2 + 336*n + 136 = 0. Calculate n.
-2/7, 2, 34
Factor 3*q**4/5 + 21*q**3/5 + 18*q**2/5.
3*q**2*(q + 1)*(q + 6)/5
Factor 4*k**2 - 600*k - 8476.
4*(k - 163)*(k + 13)
Determine r so that 2*r**4 + 20*r**3 - 390*r**2 + 1440*r - 1512 = 0.
-21, 2, 3, 6
Find h, given that -3*h**5 + 12*h**4 - 15*h**3 + 6*h**2 = 0.
0, 1, 2
Factor -2*k**2/15 + 24*k/5 + 78/5.
-2*(k - 39)*(k + 3)/15
Suppose -2*d**4/3 - 22*d**3/3 - 26*d**2 - 98*d/3 - 40/3 = 0. What is d?
-5, -4, -1
Suppose 3*t**5 - 21*t**3 + 6*t**2 + 36*t - 24 = 0. What is t?
-2, 1, 2
Factor -4*l**2 - 144*l - 140.
-4*(l + 1)*(l + 35)
Factor -v**3/3 - 5*v**2/3 + 6*v + 24.
-(v - 4)*(v + 3)*(v + 6)/3
Factor 3*i**4/4 + 9*i**3/2 - 54*i**2 - 777*i/2 - 1323/4.
3*(i - 9)*(i + 1)*(i + 7)**2/4
Find y such that 2*y**4 - 18*y**3/7 - 24*y**2/7 + 8*y/7 = 0.
-1, 0, 2/7, 2
Suppose -i**2 - 362*i + 363 = 0. Calculate i.
-363, 1
Factor k**4 - 7*k**3.
k**3*(k - 7)
Factor -a**3/4 + 29*a**2/2 - 113*a/4 + 14.
-(a - 56)*(a - 1)**2/4
Factor -x**4/2 + 5*x**3 - 21*x**2/2.
-x**2*(x - 7)*(x - 3)/2
What is g in 2*g**3 + 16*g**2 + 18*g - 36 = 0?
-6, -3, 1
Let -o**4/2 + 314*o**3 - 48983*o**2 - 98910*o - 99225/2 = 0. What is o?
-1, 315
Find t such that 38*t**4/7 - 292*t**3/7 + 512*t**2/7 + 192*t/7 = 0.
-6/19, 0, 4
Determine u so that 6*u**3/19 - 112*u**2/19 - 1608*u/19 + 1120/19 = 0.
-10, 2/3, 28
Let -2*m**2/9 + 242*m/9 - 80/3 = 0. Calculate m.
1, 120
Find v such that -4*v**2/3 - 424*v/3 - 140 = 0.
-105, -1
Factor -2*t**3/13 + 50*t**2/13 - 136*t/13 + 88/13.
-2*(t - 22)*(t - 2)*(t - 1)/13
Factor -5*u**2 + 60*u + 540.
-5*(u - 18)*(u + 6)
Factor -5*c**5 - 120*c**4 + 2920*c**3 + 43680*c**2 - 662480*c.
-5*c*(c - 14)**2*(c + 26)**2
Suppose 3*g**2/2 + 21*g/2 = 0. What is g?
-7, 0
Factor -h**3/4 - 607*h**2/2.
-h**2*(h + 1214)/4
Factor 3*k**4 - 75*k**3 + 639*k**2 - 2037*k + 1470.
3*(k - 10)*(k - 7)**2*(k - 1)
Determine q, given that q**2 + q - 20 = 0.
-5, 4
Let 3*m**2 - 72*m + 357 = 0. What is m?
7, 17
Determine b, given that -2*b**4 - 34*b**3 - 122*b**2 + 234*b + 324 = 0.
-9, -1, 2
Solve 2*z**4/13 - 74*z**3/13 + 882*z**2/13 - 270*z + 2700/13 = 0.
1, 6, 15
Find j such that -j**3/5 - j**2 + 13*j/5 - 7/5 = 0.
-7, 1
Suppose -7*h**3/6 - 5*h**2/2 + 3*h = 0. Calculate h.
-3, 0, 6/7
Suppose 2*l**4 + 24*l**3 - 6*l**2 - 76*l - 48 = 0. What is l?
-12, -1, 2
Suppose -d**2/2 - d/2 + 6 = 0. Calculate d.
-4, 3
Determine i so that 3*i**3 + 2478*i**2 - 9948*i + 9960 = 0.
-830, 2
Let 7*i**3/10 - 569*i**2/10 + 361*i/5 - 16 = 0. What is i?
2/7, 1, 80
Factor 5*j**2 + 125*j - 1530.
5*(j - 9)*(j + 34)
Find i, given that -4*i**4 - 24*i**3 - 20*i**2 = 0.
-5, -1, 0
Factor 3*x**3/2 - 375*x**2/2 - 759*x/2 - 381/2.
3*(x - 127)*(x + 1)**2/2
What is b in 46875*b**2 + 500*b + 4/3 = 0?
-2/375
Factor 4*v**5/7 - 4*v**4 - 2696*v**3/7 + 24120*v**2/7 + 461700*v/7 - 4873500/7.
4*(v - 15)**3*(v + 19)**2/7
Solve -5*s**2 - 10*s + 975 = 0 for s.
-15, 13
Suppose -5*n**2 + 280*n = 0. What is n?
0, 56
Solve -4*m**5 - 404*m**4 - 396*m**3 + 404*m**2 + 400*m = 0 for m.
-100, -1, 0, 1
Let -4*n**4 - 652*n**3 - 34980*n**2 - 592900*n + 1331000 = 0. What is n?
-55, 2
Find w, given that 15*w**3/2 + 232*w**2 - 511*w/2 + 16 = 0.
-32, 1/15, 1
Factor -d**5/8 - 11*d**4 - 363*d**3 - 5324*d**2 - 29282*d.
-d*(d + 22)**4/8
Factor x**4 + 7*x**3 + 17*x**2 + 17*x + 6.
(x + 1)**2*(x + 2)*(x + 3)
Let -65*c**4 - 385*c**3 - 750*c**2 - 460*c + 40 = 0. What is c?
-2, 1/13
Let -2*w**3 + 2*w**2 + 12*w = 0. What is w?
-2, 0, 3
Factor 6*o**3/5 - 14*o**2 - 102*o/5 - 26/5.
2*(o - 13)*(o + 1)*(3*o + 1)/5
Factor -r**2/5 - 76*r/5 - 1444/5.
-(r + 38)**2/5
Solve -5*n**5/2 + 23*n**4/2 - 15*n**3/2 - 35*n**2/2 + 10*n + 6 = 0.
-1, -2/5, 1, 2, 3
Suppose 2*r**3/5 + 6*r**2 - 152*r/5 = 0. What is r?
-19, 0, 4
Factor 2*p**3/11 + 18*p**2/11.
2*p**2*(p + 9)/11
Let 128*u**4/7 + 384*u**3/7 - 24*u**2/7 - 76*u/7 - 12/7 = 0. What is u?
-3, -1/4, 1/2
Factor -2*f**2 + 136*f - 2312.
-2*(f - 34)**2
Factor -20*m**2 + 77888*m - 31152.
-4*(m - 3894)*(5*m - 2)
Find r, given that -6*r**4 + 99*r**3/2 - 126*r**2 + 201*r/2 - 18 = 0.
1/4, 1, 3, 4
Factor 3*s**3 - 60*s**2 - 357*s - 450.
3*(s - 25)*(s + 2)*(s + 3)
Suppose -8*u**4 - 110*u**3/3 - 32*u**2/3 + 110*u/3 + 56/3 = 0. Calculate u.
-4, -1, -7/12, 1
What is f in -2*f**4/11 + 96*f**3/11 - 732*f**2/11 + 1120*f/11 + 1950/11 = 0?
-1, 5, 39
Factor -3*g**2 + 2643*g + 10620.
-3*(g - 885)*(g + 4)
Let 7*g**3/8 - 43*g**2/8 + 41*g/8 - 5/8 = 0. What is g?
1/7, 1, 5
Factor -4*a**3 - 188*a**2 - 536*a - 352.
-4*(a + 1)*(a + 2)*(a + 44)
What is g in 5*g**4 + 300*g**3 - 615*g**2 + 310*g = 0?
-62, 0, 1
Factor -3*u**3/2 - 21*u**2/2 + 36*u + 270.
-3*(u - 5)*(u + 6)**2/2
Factor -2*j**2 + 526*j - 1560.
-2*(j - 260)*(j - 3)
Factor -y**4/11 - 16*y**3/11 - 64*y**2/11.
-y**2*(y + 8)**2/11
Suppose 2*h**4 + 184*h**3 + 4232*h**2 = 0. What is h?
-46, 0
Find b such that -b**2/7 - 352*b/7 + 2148/7 = 0.
-358, 6
Find p, given that 3*p**4/4 - 37*p**3/2 + 45*p**2 - 22*p = 0.
0, 2/3, 2, 22
Let -3*r**4/2 - 9*r**3 - 9*r**2/2 + 15*r = 0. What is r?
-5, -2, 0, 1
Determine d so that -3*d**2/2 - 561*d/2 = 0.
-187, 0
Factor 3*r**2/5 - 101*r/5 - 34/5.
(r - 34)*(3*r + 1)/5
Suppose -6*w**3/5 + 306*w**2/5 - 594*w/5 + 294/5 = 0. Calculate w.
1, 49
Solve -2*k**4/3 + 164*k**3/3 - 322*k**2/3 + 160*k/3 = 0.
0, 1, 80
Determine x, given that 4*x**5 - 480*x**4 - 12*x**3 + 1432*x**2 + 960*x = 0.
-1, 0, 2, 120
Factor f**3 + 8*f**2 + 13*f + 6.
(f + 1)**2*(f + 6)
Factor 4*b**2 + 164*b.
4*b*(b + 41)
Suppose -4*k**4 - 12*k**3 + 16*k**2 = 0. What is k?
-4, 0, 1
Factor 8*w**2 + 972*w + 964.
4*(w + 1)*(2*w + 241)
What is o in -2*o**3 + 796*o**2 - 80770*o + 310472 = 0?
4, 197
Suppose -2*v**4 + 430*v**3 - 426*v**2 - 430*v + 428 = 0. What is v?
-1, 1, 214
Solve h**5/2 + 2*h**4/3 - 4*h**3/3 - 3*h**2 - 11*h/6 - 1/3 = 0 for h.
-1, -1/3, 2
Solve 2*y**4/13 + 1676*y**3/13 + 468720*y**2/13 + 43902324*y/13 + 43435278/13 = 0 for y.
-279, -1
Factor -4*y**4 + 152*y**3 - 1588*y**2 + 2736*y - 1296.
-4*(y - 18)**2*(y - 1)**2
Find s, given that 10*s**3 + 72*s**2 + 378*s/5 + 108/5 = 0.
-6, -3/5
Factor -4*j**5 - 20*j**4 - 4*j**3 + 68*j**2 + 88*j + 32.
-4*(j - 2)*(j + 1)**3*(j + 4)
Suppose 2*o**2/13 + 22*o/13 - 252/13 = 0. Calculate o.
-18, 7
Let 4*c**2/9 - 64*c/9 + 80/3 = 0. Calculate c.
6, 10
Suppose 2*t**5 + 20*t**4 - 74*t**3 + 52*t**2 = 0. Calculate t.
-13, 0, 1, 2
Suppose -245*v**2 + 2380*v - 5780 = 0. What is v?
34/7
Find a, given that -8*a**5 - 1080*a**4 - 2122*a**3 + 808*a**2 + 1326*a - 532 = 0.
-133, -2, -1, 1/2
Solve -5*x**5 + 5*x**4 + 35*x**3 - 5*x**2 - 30*x = 0 for x.
-2, -1, 0, 1, 3
Factor -d**2/3 - 5*d/3 + 104/3.
-(d - 8)*(d + 13)/3
Suppose -i**5/4 - 67*i**4/2 - 65*i**3/2 + 101*i**2 + 667*i/4 + 133/2 = 0. Calculate i.
-133, -1, 2
Factor -j**2/4 - 3*j/4.
-j*(j + 3)/4
Factor -2*g**3/9 - 8*g**2/3 + 130*g/3 - 1100/9.
-2*(g - 5)**2*(g + 22)/9
Factor -2*i**2/5 + 6*i/5 + 16.
-2*(i - 8)*(i + 5)/5
Solve -4*p**2 - 340*p = 0 for p.
-85, 0
Let -2*l**3/11 - 28*l**2/11 - 86*l/11 - 60/11 = 0. What is l?
-10, -3, -1
Find k such that 14*k**5 + 60*k**4 + 16*k**3 = 0.
-4, -2/7, 0
Factor -m**5/2 + 209*m**4/2 - 5512*m**3 + 5408*m**2.
-m**2*(m - 104)**2*(m - 1)/2
Find g such that -4*g**2/3 + 120*g - 2700 = 0.
45
Let 81*r**2/4 + 7527*r/4 - 279/2 = 0. What is r?
-93, 2/27
Factor 12*l**3/7 - 80*l**2/7 - 36*l/7 + 8.
4*(l - 7)*(l + 1)*(3*l - 2)/7
Factor -5*a**4 + 80*a**3 + 90*a**2 - 80*a - 85.
-5*(a - 17)*(a - 1)*(a + 1)**2
Suppose 2*l**3/9 + 3518*l**2/9 + 1541750*l/9 - 1552322/3 = 0. Calculate l.
-881, 3
Factor 260*r**2/3 - 782*r/3 + 2.
2*(r - 3)*(130*r - 1)/3
Solve o**5/3 - 3*o**3 + 4*o