b + 1)*(b + 102)/4
Factor y**5 - 2*y**4 - 45*y**3 - 142*y**2 - 172*y - 72.
(y - 9)*(y + 1)*(y + 2)**3
Let -3*r**5/5 + 24*r**4/5 - 57*r**3/5 + 24*r**2/5 + 12*r - 48/5 = 0. Calculate r.
-1, 1, 2, 4
What is y in 2*y**4/7 + 1128*y**3/7 - 2262*y**2/7 + 1132*y/7 = 0?
-566, 0, 1
Factor 5*v**2 - 405*v - 1260.
5*(v - 84)*(v + 3)
Factor 2*q**4/19 - 2*q**3/19 - 90*q**2/19 + 378*q/19 - 432/19.
2*(q - 3)**3*(q + 8)/19
Find h such that -30*h**4 - 50*h**3 - 84*h**2/5 + 16*h/5 = 0.
-1, -4/5, 0, 2/15
Find c such that 4*c**4 - 32*c**3 - 416*c**2 + 1920*c + 14400 = 0.
-6, 10
Let 5*w**2/4 - 777*w/4 + 155/2 = 0. What is w?
2/5, 155
Factor 16*x**2 - 52*x + 12.
4*(x - 3)*(4*x - 1)
Factor 4*j**3/3 - 712*j**2/3 - 2992*j - 9120.
4*(j - 190)*(j + 6)**2/3
Suppose u**4/3 - 3*u**3 + 25*u**2/3 - 9*u + 10/3 = 0. What is u?
1, 2, 5
Let 4*p**2/7 - 40*p/7 - 44/7 = 0. Calculate p.
-1, 11
Factor -2*v**3/13 - 54*v**2/13 - 30*v - 26.
-2*(v + 1)*(v + 13)**2/13
Solve -4*g**4 + 68*g**3 - 60*g**2 - 68*g + 64 = 0.
-1, 1, 16
Let -2*y**3/13 - 6*y**2 + 344*y/13 = 0. What is y?
-43, 0, 4
Solve -5*b**4/2 - 85*b**3/3 + 125*b**2/6 + 10*b = 0 for b.
-12, -1/3, 0, 1
Suppose -4*d**5 - 12*d**4 + 4*d**3 + 28*d**2 - 16 = 0. Calculate d.
-2, -1, 1
Suppose p**5/6 + 11*p**4 + 1151*p**3/6 + 991*p**2/3 - 192*p - 1024/3 = 0. Calculate p.
-32, -2, -1, 1
Determine g so that -g**2 - 11*g - 28 = 0.
-7, -4
Factor -28*d**2/5 + 32*d/5 + 48/5.
-4*(d - 2)*(7*d + 6)/5
Factor 4*i**4/7 + 24*i**3/7 - 100*i**2/7 + 72*i/7.
4*i*(i - 2)*(i - 1)*(i + 9)/7
Let t**5/4 + 37*t**4/8 + 183*t**3/8 + 197*t**2/8 - 17*t/8 - 33/4 = 0. Calculate t.
-11, -6, -1, 1/2
Suppose -5*g**4 - 65*g**3 + 515*g**2 + 1205*g + 630 = 0. What is g?
-18, -1, 7
Factor 5*a**2 - 420*a + 8820.
5*(a - 42)**2
Suppose 4*v**3 + 72*v**2 + 324*v = 0. What is v?
-9, 0
Determine d so that 324*d**2 + 5510*d + 34 = 0.
-17, -1/162
Factor -u**5/3 - 29*u**4/3 + 31*u**3 - 95*u**2/3 + 32*u/3.
-u*(u - 1)**3*(u + 32)/3
Let 20170*k**3/13 + 40344*k**2/13 + 20178*k/13 + 4/13 = 0. Calculate k.
-1, -2/10085
Solve 2*r**2/5 - 478*r/5 - 96 = 0.
-1, 240
Factor -2*h**3/5 - 36*h**2/5 - 174*h/5 - 44.
-2*(h + 2)*(h + 5)*(h + 11)/5
Solve -3*u**5 + 8*u**4 + 15*u**3 - 32*u**2 - 12*u = 0.
-2, -1/3, 0, 2, 3
Let -k**3/4 + 45*k**2/4 + 23*k/2 = 0. Calculate k.
-1, 0, 46
What is f in 400*f**4/3 + 130*f**3 - 18*f**2 - 38*f/3 + 2 = 0?
-1, -3/8, 1/5
Suppose -3*g**2 - 3*g + 270 = 0. Calculate g.
-10, 9
Determine p, given that p**4/4 + 3*p**3 + 13*p**2/4 - 33*p/2 + 10 = 0.
-10, -4, 1
Solve -3*x**3 + 147*x**2 + 150*x = 0 for x.
-1, 0, 50
Factor -o**4 + 56*o**3 - 423*o**2.
-o**2*(o - 47)*(o - 9)
Determine n so that 3*n**3/2 + 102*n**2 - 207*n/2 = 0.
-69, 0, 1
Factor 2*w**3/5 + 39*w**2 + 832*w/5 - 93.
(w + 5)*(w + 93)*(2*w - 1)/5
Determine o so that -8*o**3/7 - 158*o**2/7 - 368*o/7 + 102/7 = 0.
-17, -3, 1/4
Determine v, given that 3*v**5/2 - 183*v**4/2 + 2697*v**3/2 + 2883*v**2/2 = 0.
-1, 0, 31
Factor -2*i**2 + 2500*i - 781250.
-2*(i - 625)**2
Find m, given that 4*m**5 + 24*m**4 + 44*m**3 + 24*m**2 = 0.
-3, -2, -1, 0
Factor i**3/7 - 87*i**2/7 + 1935*i/7 - 1849/7.
(i - 43)**2*(i - 1)/7
Factor 3*t**5 + 150*t**4 + 1719*t**3 - 3900*t**2 + 2028*t.
3*t*(t - 1)**2*(t + 26)**2
Suppose -4*n**4/9 - 8*n**3/3 - 20*n**2/9 = 0. Calculate n.
-5, -1, 0
Suppose -2*x**5/3 + 3*x**4 + 2*x**3 - 5*x**2/3 = 0. Calculate x.
-1, 0, 1/2, 5
Find g, given that -9*g**5 - 69*g**4 + 327*g**3 - 51*g**2 - 198*g = 0.
-11, -2/3, 0, 1, 3
Let 2*d**3/11 + 310*d**2/11 - 628*d/11 = 0. Calculate d.
-157, 0, 2
Let -r**3/2 + 825*r**2/2 - 412*r = 0. Calculate r.
0, 1, 824
Factor 4*h**4/3 - 44*h**3/3 + 52*h**2 - 196*h/3 + 80/3.
4*(h - 5)*(h - 4)*(h - 1)**2/3
Suppose -x**3/2 + 9*x**2/2 - 12*x + 10 = 0. Calculate x.
2, 5
Factor -4*x**5 - 132*x**4 - 128*x**3.
-4*x**3*(x + 1)*(x + 32)
Suppose -3*z**4 + 300*z**3 - 11088*z**2 + 178752*z - 1053696 = 0. Calculate z.
16, 28
Determine n so that -2*n**5 - 6*n**4 + 8*n**3 + 32*n**2 - 32 = 0.
-2, 1, 2
Let -20*i**5 - 195*i**4 + 130*i**3 + 3060*i**2 - 3710*i + 735 = 0. Calculate i.
-7, 1/4, 1, 3
Find h, given that -3*h**4 - 120*h**3 - 624*h**2 + 11520*h - 27648 = 0.
-24, 4
Factor 2*q**4/7 + 372*q**3/7 + 17298*q**2/7.
2*q**2*(q + 93)**2/7
Let 2*q**5/13 - 36*q**4/13 + 160*q**3/13 - 180*q**2/13 - 162*q/13 + 216/13 = 0. Calculate q.
-1, 1, 3, 12
Factor 60*q**2 - 296*q/5 - 4/5.
4*(q - 1)*(75*q + 1)/5
Factor q**3/5 + 31*q**2/5 + 51*q + 45.
(q + 1)*(q + 15)**2/5
Factor -r**3/4 + 7*r**2/4 + 49*r/4 - 55/4.
-(r - 11)*(r - 1)*(r + 5)/4
Suppose -190*h**4 + 1829*h**3 - 4038*h**2 - 1795*h + 50 = 0. What is h?
-2/5, 1/38, 5
Determine l so that 4*l**5 + 148*l**4 + 548*l**3 + 668*l**2 + 264*l = 0.
-33, -2, -1, 0
Let 3*v**3 - 27*v**2 + 72*v - 48 = 0. What is v?
1, 4
Factor -2*v**3/13 + 82*v**2/13 - 360*v/13.
-2*v*(v - 36)*(v - 5)/13
Find j, given that -5*j**2 - 940*j - 44180 = 0.
-94
Suppose -2*h**5/11 - 8*h**4/11 - 4*h**3/11 + 8*h**2/11 + 6*h/11 = 0. Calculate h.
-3, -1, 0, 1
Solve 3*t**4 - 6*t**3 - 57*t**2 - 84*t - 36 = 0 for t.
-2, -1, 6
Factor -3*o**2/5 + 582*o/5 - 28227/5.
-3*(o - 97)**2/5
Factor -4*t**2/5 + 8*t - 36/5.
-4*(t - 9)*(t - 1)/5
Suppose 4*m**5 + 1794*m**4 + 799185*m**3/4 - 305438*m**2 - 760275*m/4 - 50625/2 = 0. Calculate m.
-225, -1/4, 2
Factor 7*g**3/4 - 517*g**2/2 + 2749*g/4 + 435/2.
(g - 145)*(g - 3)*(7*g + 2)/4
What is y in -y**3/6 - 107*y**2/6 + 217*y/6 - 109/6 = 0?
-109, 1
Let 6*p**5/5 - 752*p**4/15 - 1136*p**3/5 - 1344*p**2/5 - 736*p/15 = 0. Calculate p.
-2, -2/9, 0, 46
Factor -f**2/2 - 5*f/2 + 12.
-(f - 3)*(f + 8)/2
Factor 3*y**3/2 + 621*y**2/2 - 312*y.
3*y*(y - 1)*(y + 208)/2
Factor i**2/2 - 1041*i/2 - 2615.
(i - 1046)*(i + 5)/2
Determine p so that p**2/3 - 2*p/3 = 0.
0, 2
Factor -3*a**2 + 72*a + 435.
-3*(a - 29)*(a + 5)
Suppose 20*q**2 - 9572*q - 3832 = 0. What is q?
-2/5, 479
Find p such that p**2 + 18*p + 81 = 0.
-9
Factor -3*q**3/4 - 9*q**2/4 + 3.
-3*(q - 1)*(q + 2)**2/4
Factor -o**3/7 - 25*o**2 - 174*o/7.
-o*(o + 1)*(o + 174)/7
Find r such that 3*r**4/8 + 69*r**3/4 + 429*r**2/2 + 363*r = 0.
-22, -2, 0
Factor 162*y**3/13 + 72810*y**2/13 + 32336*y/13 + 3592/13.
2*(y + 449)*(9*y + 2)**2/13
Determine j so that -3*j**3 - 147*j**2 - 465*j + 37479 = 0.
-31, 13
Factor -4*f**3 + 6864*f**2 - 3926208*f + 748596992.
-4*(f - 572)**3
Factor -2*l**4/7 - 29*l**3/7 - 39*l**2/7.
-l**2*(l + 13)*(2*l + 3)/7
Determine a so that 12*a**4 + 64*a**3/3 - 124*a**2/3 + 8*a = 0.
-3, 0, 2/9, 1
Suppose -45*j**4 - 136290*j**3 - 103239665*j**2 - 68781020*j - 11460980 = 0. Calculate j.
-1514, -1/3
Suppose 4*c**2 + 68*c + 280 = 0. Calculate c.
-10, -7
What is p in p**2/4 - 631*p/2 + 398161/4 = 0?
631
Let v**5/8 - v**4 + v**3/4 + 4*v**2 + 21*v/8 = 0. What is v?
-1, 0, 3, 7
Factor 6*u**2 + 1407*u/2 + 351/2.
3*(u + 117)*(4*u + 1)/2
Factor 3*g**2 + 84*g + 225.
3*(g + 3)*(g + 25)
Factor -4*l**3 + 28*l**2 - 44*l + 20.
-4*(l - 5)*(l - 1)**2
Factor f**3/3 - 3*f**2 - 16*f + 448/3.
(f - 8)**2*(f + 7)/3
Factor -4*p**2 - 266*p/3 + 176.
-2*(p + 24)*(6*p - 11)/3
Factor 2*i**3/11 + 12*i**2/11 + 16*i/11.
2*i*(i + 2)*(i + 4)/11
Factor 5*i**5/3 - 5*i**4/3 - 5*i**3/3 + 5*i**2/3.
5*i**2*(i - 1)**2*(i + 1)/3
Factor -2*h**3/3 + 62*h**2/3 - 86*h/3 - 290.
-2*(h - 29)*(h - 5)*(h + 3)/3
Factor 2*b**3/15 - 4*b**2/5 - 2*b/15 + 4/5.
2*(b - 6)*(b - 1)*(b + 1)/15
Factor 5*m**5 - 15*m**4 - 5*m**3 + 15*m**2.
5*m**2*(m - 3)*(m - 1)*(m + 1)
Determine j, given that 5*j**2/2 + 143*j/2 + 42 = 0.
-28, -3/5
Let -2*k**5 + 262*k**4 - 1524*k**3 + 3016*k**2 - 2000*k = 0. Calculate k.
0, 2, 125
Determine k so that 2*k**3/13 + 522*k**2/13 - 1058*k/13 - 1578/13 = 0.
-263, -1, 3
Factor -4*n**3 + 24*n**2 + 28*n.
-4*n*(n - 7)*(n + 1)
Find g, given that g**2 + 343*g/4 - 43/2 = 0.
-86, 1/4
Factor 2*v**2/9 + 130*v/9 + 476/3.
2*(v + 14)*(v + 51)/9
Solve -5*o**2 + 3545*o = 0.
0, 709
Factor 4*t**3 - 380*t**2 - 772*t - 388.
4*(t - 97)*(t + 1)**2
Factor 4*m**2/5 - 684*m/5 - 688/5.
4*(m - 172)*(m + 1)/5
Find a, given that -a**3/4 + a = 0.
-2, 0, 2
Factor 4*v**2 - 132*v - 136.
4*(v - 34)*(v + 1)
Factor -p**4/3 + 19*p**3/3 - 17*p**2/3 - 19*p/3 + 6.
-(p - 18)*(p - 1)**2*(p + 1)/3
Factor -2*l**3/3 + 4*l**2 + 10*l + 16/3.
-2*(l - 8)*(l + 1)**2/3
Determine t, given that 40*t**4 - 486*t**3 + 396*t**2 + 1186*t + 264 = 0.
-1, -1/4, 12/5, 11
Factor -2*m**3 + 20*m**2 + 506*m + 484.
-2*(m - 22)*(