 -2*h**2 - 48*h - 46 = 0.
-23, -1
Find a such that a**5/7 - a**4/7 - a**3/7 + a**2/7 = 0.
-1, 0, 1
Factor 2*b**3/5 + 606*b**2/5 + 9120*b - 46208/5.
2*(b - 1)*(b + 152)**2/5
Find p, given that -20*p**2 + 192*p + 212 = 0.
-1, 53/5
Let 20*w**3 + 605*w**2 + 4650*w + 1125 = 0. Calculate w.
-15, -1/4
Suppose -k**3/7 - 1170*k**2/7 - 49056*k - 682112/7 = 0. What is k?
-584, -2
Suppose -2*d**2 - 508*d - 32258 = 0. Calculate d.
-127
Factor 5041*x**2 + 426*x + 9.
(71*x + 3)**2
Solve 3*q**5/2 - 63*q**4/2 + 261*q**3 - 1065*q**2 + 4275*q/2 - 3375/2 = 0.
3, 5
Factor w**3 + 148*w**2 + 437*w + 290.
(w + 1)*(w + 2)*(w + 145)
Factor -5*v**4 + 60*v**3 - 135*v**2 - 20*v + 180.
-5*(v - 9)*(v - 2)**2*(v + 1)
Determine k, given that -2*k**3/9 - 16*k**2/9 - 32*k/9 = 0.
-4, 0
Factor -2*f**3/13 - 8*f**2/13 - 8*f/13.
-2*f*(f + 2)**2/13
Let 4*r**5/5 + 2*r**4/5 - 2*r**3 + 4*r**2/5 = 0. What is r?
-2, 0, 1/2, 1
Let b**3/4 + 41*b**2/4 + 140*b + 637 = 0. Calculate b.
-14, -13
Factor -3*g**2/4 + 27*g/4 - 21/2.
-3*(g - 7)*(g - 2)/4
Suppose -3*h**4 - 138*h**3 - 1524*h**2 - 5976*h - 6912 = 0. Calculate h.
-32, -6, -2
Suppose s**3 - 1304*s**2 - s + 1304 = 0. What is s?
-1, 1, 1304
Determine x, given that 2*x**3/17 - 228*x**2/17 + 6264*x/17 + 13456/17 = 0.
-2, 58
Factor 4*h**2 - 108*h + 200.
4*(h - 25)*(h - 2)
Determine k so that -14*k**4 + 36*k**3 + 18*k**2 = 0.
-3/7, 0, 3
Find i, given that i**2/3 + i - 60 = 0.
-15, 12
Find s, given that 2*s**2/3 + 256*s/3 + 8192/3 = 0.
-64
Suppose 3*s**2 - 1044*s + 90828 = 0. Calculate s.
174
Factor -5*k**3 + 745*k**2 - 1475*k + 735.
-5*(k - 147)*(k - 1)**2
Solve m**2 - 104*m + 1260 = 0 for m.
14, 90
Factor -7803*t**4/4 - 54774*t**3 - 386634*t**2 - 30072*t - 588.
-3*(t + 14)**2*(51*t + 2)**2/4
Solve -2*y**5 + 326*y**4 - 18326*y**3 + 413282*y**2 - 3372080*y + 2976800 = 0 for y.
1, 20, 61
Factor -6*p**3 - 1329*p**2 - 73260*p + 36963.
-3*(p + 111)**2*(2*p - 1)
Factor -r**5/4 + r**4 + 9*r**3/2 + 5*r**2 + 7*r/4.
-r*(r - 7)*(r + 1)**3/4
Factor 8*x**2 - 308*x + 152.
4*(x - 38)*(2*x - 1)
Factor 4*x**3 - 52*x**2 + 224*x - 320.
4*(x - 5)*(x - 4)**2
Factor 3*a**5 - 123*a**3 - 216*a**2 + 336*a.
3*a*(a - 7)*(a - 1)*(a + 4)**2
Determine p so that 2*p**4/5 - 8*p**3/5 - 38*p**2/5 - 28*p/5 = 0.
-2, -1, 0, 7
Suppose 2*r**5/7 + 6*r**4/7 - 8*r**2/7 = 0. Calculate r.
-2, 0, 1
Factor 4*g**3 + 6144*g**2 + 3145728*g + 536870912.
4*(g + 512)**3
Factor -2*l**3/13 + 18*l**2/13 - 30*l/13 - 50/13.
-2*(l - 5)**2*(l + 1)/13
Factor -2*x**3 - 400*x**2 - 398*x.
-2*x*(x + 1)*(x + 199)
Factor -10*k**2/7 - 2626*k/7 + 1052/7.
-2*(k + 263)*(5*k - 2)/7
Find r such that r**3/2 + 89*r**2/2 + 172*r + 170 = 0.
-85, -2
Find p, given that -3*p**5 + 11*p**4 + 102*p**3 + 24*p**2 - 64*p = 0.
-4, -1, 0, 2/3, 8
Suppose -b**4/2 - 9*b**3 - 16*b**2 = 0. Calculate b.
-16, -2, 0
Let -k**4/5 + 12*k**3/5 - 23*k**2/5 - 36*k/5 = 0. Calculate k.
-1, 0, 4, 9
Factor -z**5/4 + z**4/2 + 11*z**3/4 - 3*z**2 - 9*z.
-z*(z - 3)**2*(z + 2)**2/4
Suppose 10*u**3 - 634*u**2 + 4172*u - 1568 = 0. What is u?
2/5, 7, 56
What is y in y**3 - 31*y**2 + 200*y - 368 = 0?
4, 23
Factor -2*j**3 + 156*j**2 - 4056*j + 35152.
-2*(j - 26)**3
Solve -33*l**2 + 1351*l + 82 = 0 for l.
-2/33, 41
Suppose j**3/6 + 17*j**2/6 + 22*j/3 + 14/3 = 0. What is j?
-14, -2, -1
Solve -r**4/3 + 92*r**3/3 = 0.
0, 92
Solve -w**2 - 41*w - 288 = 0.
-32, -9
Solve m**4/4 - 15*m**3/2 + 189*m**2/4 + 152*m - 192 = 0 for m.
-3, 1, 16
Suppose -w**2/2 - 13*w/2 + 115 = 0. Calculate w.
-23, 10
Factor -5*h**3 - 2725*h**2 + 5465*h - 2735.
-5*(h - 1)**2*(h + 547)
Factor v**2 + 3*v - 108.
(v - 9)*(v + 12)
Factor 5*x**3 - 555*x**2 + 1095*x - 545.
5*(x - 109)*(x - 1)**2
Factor 3*k**4/5 - 366*k**3 + 10908*k**2/5 - 21768*k/5 + 14496/5.
3*(k - 604)*(k - 2)**3/5
Factor i**3/4 + 16*i**2 - 199*i/4 + 67/2.
(i - 2)*(i - 1)*(i + 67)/4
Let 3*g**3/7 - 3*g**2/7 - 6*g/7 = 0. Calculate g.
-1, 0, 2
Factor 5*i**3 + 105*i**2 - 270*i - 920.
5*(i - 4)*(i + 2)*(i + 23)
Solve -4*r**3/9 + 10*r**2/3 - 14*r/9 = 0 for r.
0, 1/2, 7
Factor -2*k**5/9 - 2*k**4/3 - 2*k**3/3 - 2*k**2/9.
-2*k**2*(k + 1)**3/9
Factor 3*m**2/5 - 8508*m/5 + 6032172/5.
3*(m - 1418)**2/5
Factor 2*v**3/5 + 2*v**2/5 - 4*v + 16/5.
2*(v - 2)*(v - 1)*(v + 4)/5
What is o in -o**4/6 - 5*o**3/6 - o**2 + 2*o/3 + 4/3 = 0?
-2, 1
Determine a so that -2*a**4/3 + 12*a**3 - 146*a**2/3 + 72*a - 104/3 = 0.
1, 2, 13
What is g in 2*g**4 - 10*g**3 - 22*g**2 + 66*g - 36 = 0?
-3, 1, 6
Solve c**5/4 - 17*c**4/4 - 43*c**3/4 + 89*c**2/4 + 57*c/2 = 0.
-3, -1, 0, 2, 19
Factor -n**2 + 19*n - 48.
-(n - 16)*(n - 3)
What is z in -38*z**2 + 718*z + 76 = 0?
-2/19, 19
Find h such that -3*h**3 - 66*h**2 + 168*h + 576 = 0.
-24, -2, 4
Suppose 2*g**5/9 + 2*g**4/9 - 8*g**3/9 - 8*g**2/9 = 0. What is g?
-2, -1, 0, 2
Factor -x**4/3 - 5*x**3 + 16*x**2/3.
-x**2*(x - 1)*(x + 16)/3
Factor -2*l**2/11 + 1380*l/11 - 5488/11.
-2*(l - 686)*(l - 4)/11
What is l in -3*l**3/4 + 4941*l**2/4 + 3*l/4 - 4941/4 = 0?
-1, 1, 1647
Find g, given that -16*g**5/5 - 536*g**4/5 - 257*g**3/5 + 46*g**2 - 33*g/5 = 0.
-33, -1, 0, 1/4
What is w in 5*w**2 - 5100*w + 10180 = 0?
2, 1018
Suppose -2*j**2/5 - 20824*j/5 - 54204872/5 = 0. What is j?
-5206
Suppose -3*c**3 + 636*c**2 + 639*c = 0. What is c?
-1, 0, 213
Solve h**4/5 + 32*h**3/5 + 29*h**2/5 - 62*h/5 = 0 for h.
-31, -2, 0, 1
Find n, given that -2*n**4/17 - 2*n**3/17 + 2*n**2/17 + 2*n/17 = 0.
-1, 0, 1
Find z such that -84*z**3 - 83*z**2 + z = 0.
-1, 0, 1/84
Solve 2*x**4/3 - 100*x**3/3 - 206*x**2/3 - 104*x/3 = 0 for x.
-1, 0, 52
Factor 5*p**2 + 174*p + 7569/5.
(5*p + 87)**2/5
Determine a, given that -15*a**2 + 365*a + 250 = 0.
-2/3, 25
Factor 2*x**4/5 - 16*x**3/5 + 44*x**2/5 - 48*x/5 + 18/5.
2*(x - 3)**2*(x - 1)**2/5
Suppose -2*q**4/7 - 144*q**3/7 - 2732*q**2/7 - 720*q - 350 = 0. Calculate q.
-35, -1
Solve -2*s**5/7 + 220*s**4/7 - 212*s**3/7 - 664*s**2/7 + 1094*s/7 - 436/7 = 0.
-2, 1, 109
What is l in -2*l**5/13 - 126*l**4/13 - 54*l**3/13 + 99198*l**2/13 + 470448*l/13 - 23287176/13 = 0?
-33, 18
Factor l**4/9 - 11*l**3/9 + 4*l**2 - 4*l.
l*(l - 6)*(l - 3)*(l - 2)/9
Factor 5*b**3 - 50*b**2 + 145*b - 100.
5*(b - 5)*(b - 4)*(b - 1)
Let -j**5/5 - 9*j**4/5 - 13*j**3/5 + 9*j**2/5 + 14*j/5 = 0. Calculate j.
-7, -2, -1, 0, 1
Determine j so that j**4/5 + 13*j**3/5 - j**2/5 - 13*j/5 = 0.
-13, -1, 0, 1
What is a in 13*a**5/2 - 11*a**4/3 - 6*a**3 + 11*a**2/3 - a/2 = 0?
-1, 0, 3/13, 1/3, 1
Suppose z**3/2 + 21*z**2/2 = 0. Calculate z.
-21, 0
Factor -g**2 - 3*g + 18.
-(g - 3)*(g + 6)
Factor 7*w**4/2 - 137*w**3/2 + 101*w**2 - 36*w.
w*(w - 18)*(w - 1)*(7*w - 4)/2
Factor 2*s**3/3 - 900*s**2 + 405000*s - 60750000.
2*(s - 450)**3/3
Determine b, given that -b**2 + 150*b - 5625 = 0.
75
Factor c**3 - 5*c**2 + 3*c + 9.
(c - 3)**2*(c + 1)
Factor -2*o**5 - 24*o**4 - 16*o**3 + 76*o**2 + 114*o + 44.
-2*(o - 2)*(o + 1)**3*(o + 11)
Factor -2*m**2 - 1780*m - 396050.
-2*(m + 445)**2
Solve -4*p**2 - 92*p = 0 for p.
-23, 0
Solve 25*k**3 - 35*k**2 - 140*k + 60 = 0 for k.
-2, 2/5, 3
Determine n so that 2*n**2/3 + 1256*n/3 + 197192/3 = 0.
-314
What is m in 28*m**4 + 612*m**3 - 640*m**2 = 0?
-160/7, 0, 1
Suppose -35*i**4 + 760*i**3 - 1075*i**2 - 2470*i - 600 = 0. What is i?
-1, -2/7, 3, 20
Find u such that 3*u**3 - 549*u**2 + 1086*u = 0.
0, 2, 181
Factor 5*t**3 + 1680*t**2 - 1685*t.
5*t*(t - 1)*(t + 337)
What is u in -180*u**5 + 176*u**4 + 372*u**3 - 16*u = 0?
-1, -2/9, 0, 1/5, 2
Determine x, given that 2*x**5 + 20*x**4 - 40*x**3 - 720*x**2 + 6912 = 0.
-6, 4
Factor -o**2 + 191*o + 192.
-(o - 192)*(o + 1)
Solve 4*q**4 - 128*q**3 - 152*q**2 + 672*q - 396 = 0 for q.
-3, 1, 33
Factor 3*s**2/5 - 432*s/5 + 15552/5.
3*(s - 72)**2/5
Let -2*w**3 + 12*w**2 + 14*w = 0. Calculate w.
-1, 0, 7
Factor -v**3/5 - 11*v**2/5 - 7*v - 5.
-(v + 1)*(v + 5)**2/5
Suppose -2*c**3/5 + 16*c**2/5 - 32*c/5 = 0. Calculate c.
0, 4
Solve -2*y**4/9 - 22*y**3/9 - 50*y**2/9 + 26*y/3 + 28 = 0.
-7, -3, 2
Let 3*c**3 - 6*c**2 = 0. What is c?
0, 2
Suppose -2*u**3/7 + 8*u**2 + 594*u/7 - 648/7 = 0. What is u?
-9, 1, 36
Find s, given that -2*s**3/15 + 178*s**2/15 + 248*s/5 = 0.
-4, 0, 93
Factor 4*d**5 - 28*d**4 + 60*d**3 - 52*d**2 + 16*d.
4*d*(d - 4)*(d - 1)**3
Determine p, given that -20*p**2 - 1832*p + 736 = 0.
-92, 2/5
Factor 4*g**5 - 16*g**4 - 12*g**3 + 40*g**2 + 32*g.
4*g*(g - 4)*(g - 2)*(g + 1)**2
Factor 27*o**3/4 - 5