that -8*m**2/11 + 34*m/11 + 30/11 = 0.
-3/4, 5
Factor 4*p**3 + 28*p**2 + 56*p + 32.
4*(p + 1)*(p + 2)*(p + 4)
Factor 2*m**4/9 + 68*m**3 + 5400*m**2 + 30000*m.
2*m*(m + 6)*(m + 150)**2/9
Factor -2*z**3/7 - 9272*z**2/7 + 2650*z - 9276/7.
-2*(z - 1)**2*(z + 4638)/7
Find w such that -28*w**3/5 + 304*w**2/5 - 524*w/5 + 248/5 = 0.
1, 62/7
Factor -2*q**3 - 48*q**2 + 50*q.
-2*q*(q - 1)*(q + 25)
Factor 4*c**3 - 60*c**2 + 104*c + 480.
4*(c - 12)*(c - 5)*(c + 2)
Let 252*q**2 + 64*q + 4 = 0. Calculate q.
-1/7, -1/9
Let -3*g**5/5 + 6*g**4/5 + 18*g**3/5 - 12*g**2/5 - 39*g/5 - 18/5 = 0. What is g?
-1, 2, 3
Let -8*r**3/9 - 38*r**2/3 + 548*r/9 + 16 = 0. Calculate r.
-18, -1/4, 4
Solve -2*k**2/15 - 2*k/5 + 12/5 = 0.
-6, 3
Factor -3*o**5/2 + 11*o**4/2 - 7*o**3 + 3*o**2 + o/2 - 1/2.
-(o - 1)**4*(3*o + 1)/2
Let -12*p**3 + 327*p**2 + 255*p - 84 = 0. Calculate p.
-1, 1/4, 28
Find s such that -s**5/4 - 543*s**4/4 - 2159*s**3/4 - 1613*s**2/4 + 540*s + 539 = 0.
-539, -2, -1, 1
Determine a so that 2*a**4/13 + 3134*a**3/13 + 1631736*a**2/13 + 279518368*a/13 - 1438778240/13 = 0.
-524, 5
Factor 100*m**3 + 1460*m**2 + 5984*m + 4624.
4*(m + 1)*(5*m + 34)**2
Let -f**3/4 + 13*f**2/4 + 5*f - 21 = 0. What is f?
-3, 2, 14
What is j in j**3 + 366*j**2 + 33489*j = 0?
-183, 0
Suppose -6*h**5 - 49*h**4 - 96*h**3 + h**2 + 30*h = 0. What is h?
-5, -3, -2/3, 0, 1/2
Factor -7*i**3 + 31*i**2/2 + 18*i - 9/2.
-(i - 3)*(i + 1)*(14*i - 3)/2
Let 3*m**4 - 132*m**3 + 369*m**2 = 0. Calculate m.
0, 3, 41
Let -6*g**5 - 8*g**4 + 32*g**3 - 4*g**2 - 26*g + 12 = 0. Calculate g.
-3, -1, 2/3, 1
Factor 3*i**3 + 84*i**2 + 81*i.
3*i*(i + 1)*(i + 27)
Factor 2*w**5 + 20*w**4 - 38*w**3 - 728*w**2 - 1176*w.
2*w*(w - 6)*(w + 2)*(w + 7)**2
Suppose n**4/5 - n**2/5 = 0. What is n?
-1, 0, 1
Factor 3*m**2 - 3231*m.
3*m*(m - 1077)
Determine c, given that -c**2/7 - 16*c/7 + 17/7 = 0.
-17, 1
Factor -d**3 + 321*d**2 - 956*d + 636.
-(d - 318)*(d - 2)*(d - 1)
Factor 2*a**3/19 - 62*a**2/19.
2*a**2*(a - 31)/19
Factor -h**2/3 + 25*h + 154/3.
-(h - 77)*(h + 2)/3
Factor -27*n**2/5 + 789*n/5 - 174/5.
-3*(n - 29)*(9*n - 2)/5
Factor 4*j**4/5 + 8*j**3/5 - 8*j/5 - 4/5.
4*(j - 1)*(j + 1)**3/5
Factor 10*i**4 - 35*i**3 - 25*i**2 + 20*i.
5*i*(i - 4)*(i + 1)*(2*i - 1)
Solve -4*y**4 + 67*y**3 - 103*y**2 - 30*y = 0.
-1/4, 0, 2, 15
Factor 4*h**3 - 52*h**2 + 48*h.
4*h*(h - 12)*(h - 1)
Determine y, given that -5*y**3/4 + 45*y**2/4 + 5*y - 45 = 0.
-2, 2, 9
Factor -2*p**3 + 72*p.
-2*p*(p - 6)*(p + 6)
Factor 5*w**4 - 13500*w**3 + 13668750*w**2 - 6150937500*w + 1037970703125.
5*(w - 675)**4
Find s such that 2*s**3 + 22*s**2/3 + 16*s/3 - 8/3 = 0.
-2, 1/3
Factor -x**3/3 - 17*x**2/3 + 104*x - 348.
-(x - 6)**2*(x + 29)/3
What is p in -p**3 + 23*p**2 - 91*p - 507 = 0?
-3, 13
Factor -5*h**3 - 50*h**2 + 5*h + 50.
-5*(h - 1)*(h + 1)*(h + 10)
Factor 2*b**2/11 + 38*b/11.
2*b*(b + 19)/11
Solve 8*b**3 + 346*b**2 + 422*b + 84 = 0.
-42, -1, -1/4
Factor -r**2/5 - 1364*r/5 - 465124/5.
-(r + 682)**2/5
Determine y, given that 14*y**4/3 + 1208*y**3/3 + 344*y**2/3 = 0.
-86, -2/7, 0
Find o, given that 32*o**2/11 - 350*o/11 - 2 = 0.
-1/16, 11
Factor -d**5/3 - 8*d**4/3 + 23*d**3/3 + 134*d**2/3 - 476*d/3 + 392/3.
-(d - 2)**3*(d + 7)**2/3
Let -2*f**2/3 - 848*f/3 - 89888/3 = 0. What is f?
-212
Determine c, given that -3*c**2 + 720*c - 6900 = 0.
10, 230
Factor 4*w**3 + 12*w**2 + 12*w + 4.
4*(w + 1)**3
Factor 52*w**2 + 4*w.
4*w*(13*w + 1)
Solve 4*k**3 + 404*k**2 - 4928*k = 0 for k.
-112, 0, 11
Solve 3*r**4/5 + 243*r**3/5 - 507*r**2/5 - 747*r/5 = 0 for r.
-83, -1, 0, 3
Factor -2*w**5/9 + 8*w**4/9 - 10*w**3/9 + 4*w**2/9.
-2*w**2*(w - 2)*(w - 1)**2/9
What is o in -6*o**2/13 - 184*o/13 - 290/13 = 0?
-29, -5/3
Factor -4*l**3/5 - 36*l**2/5 - 56*l/5.
-4*l*(l + 2)*(l + 7)/5
Factor 17*p**3/6 - 203*p**2/3 - 466*p/3 - 52/3.
(p - 26)*(p + 2)*(17*p + 2)/6
Suppose 2*r**3/19 + 144*r**2/19 + 1512*r/19 - 42336/19 = 0. What is r?
-42, 12
Find i such that 6*i**4/5 - 8*i**3/5 - 8*i**2/5 = 0.
-2/3, 0, 2
Factor 2*i**4 - 42*i**3 + 276*i**2 - 664*i + 528.
2*(i - 11)*(i - 6)*(i - 2)**2
Solve -4*g**3 - 16*g**2 + 28*g + 40 = 0 for g.
-5, -1, 2
Factor -z**2/2 + 753*z - 567009/2.
-(z - 753)**2/2
Find k, given that 33*k**3 - 57*k**2 + 24*k = 0.
0, 8/11, 1
Factor -4*f**2 + 128*f + 576.
-4*(f - 36)*(f + 4)
Solve -96*h**5/11 - 104*h**4/11 + 424*h**3/11 - 346*h**2/11 + 10*h - 12/11 = 0.
-3, 1/4, 1/2, 2/3
Factor 2*q**2 - 8484*q + 8997282.
2*(q - 2121)**2
Find y such that -y**3 + 7*y**2 + y - 7 = 0.
-1, 1, 7
Factor 2*n**4/13 + 148*n**3/13 - 302*n**2/13 + 152*n/13.
2*n*(n - 1)**2*(n + 76)/13
Find g such that 5*g**5 - 11*g**4 - 81*g**3/5 + 43*g**2/5 + 56*g/5 + 12/5 = 0.
-1, -2/5, 1, 3
Find f such that f**5/4 - 59*f**3/4 + 27*f**2/2 + 28*f = 0.
-8, -1, 0, 2, 7
What is g in 2*g**3 + 68*g**2 + 760*g + 2800 = 0?
-14, -10
What is u in 2*u**3 - 2*u**2 - 40*u = 0?
-4, 0, 5
What is x in -2*x**5 - 118*x**4 - 1032*x**3 + 1664*x**2 + 24064*x - 24576 = 0?
-48, -8, 1, 4
Factor -4*r**4/7 - 1696*r**3 - 8820888*r**2/7 - 2515168*r - 8797156/7.
-4*(r + 1)**2*(r + 1483)**2/7
What is j in -2*j**3 - 304*j**2 + 926*j - 620 = 0?
-155, 1, 2
Factor 4*t**3 - 32*t**2 - 796*t - 760.
4*(t - 19)*(t + 1)*(t + 10)
Find m, given that -2*m**3/3 - 178*m**2/3 - 116*m = 0.
-87, -2, 0
Determine g so that -3*g**5 - 63*g**4 - 366*g**3 - 504*g**2 = 0.
-12, -7, -2, 0
Suppose -2*w**3/3 - 164*w**2 + 2510*w/3 = 0. Calculate w.
-251, 0, 5
Let -48*r**4 + 216*r**3 + 117*r**2 + 15*r = 0. Calculate r.
-1/4, 0, 5
Suppose 5*i**2/3 - 712*i/3 + 284/3 = 0. Calculate i.
2/5, 142
Determine n, given that 10*n**3/9 - 14*n**2/9 - 296*n/9 + 40/3 = 0.
-5, 2/5, 6
Let o**5/3 - 158*o**4/3 + 154*o**3/3 + 476*o**2/3 - 787*o/3 + 314/3 = 0. What is o?
-2, 1, 157
Let -5*q**5 - 210*q**4 - 1985*q**3 + 4620*q**2 - 2420*q = 0. Calculate q.
-22, 0, 1
Factor 2*z**3/3 - 142*z**2/3 + 1558*z/3 + 36982/3.
2*(z - 41)**2*(z + 11)/3
Solve -t**3/4 + 9*t**2/4 + t/4 - 105/4 = 0.
-3, 5, 7
Solve -3*u**3 + 45*u**2 + 288*u + 240 = 0 for u.
-4, -1, 20
Solve -3*d**5 - 15*d**4 - 18*d**3 + 6*d**2 + 21*d + 9 = 0.
-3, -1, 1
Find l such that -2*l**5/11 + 100*l**4/11 - 554*l**3/11 + 1168*l**2/11 - 1064*l/11 + 32 = 0.
1, 2, 44
Solve 5*z**4/3 - 840*z**3 + 314990*z**2/3 + 212520*z + 320045/3 = 0 for z.
-1, 253
What is q in 221184*q**2 - 12672*q + 363/2 = 0?
11/384
Factor -25*s**2 - 55*s - 30.
-5*(s + 1)*(5*s + 6)
Let -44*v**2 - 560*v - 384 = 0. What is v?
-12, -8/11
Find i, given that i**3/5 - 3*i**2/5 - 16*i/5 - 12/5 = 0.
-2, -1, 6
Determine b so that -b**4 + 409*b**3/2 - 100*b**2 - 819*b/2 + 306 = 0.
-3/2, 1, 204
Find q, given that -3*q**4 + 3*q**3 + 30*q**2 + 24*q = 0.
-2, -1, 0, 4
Find c such that -5*c**2 + 7155*c = 0.
0, 1431
Factor -4*m**2/3 + 368*m - 25392.
-4*(m - 138)**2/3
Determine i so that -8*i**5 + 204*i**4 - 3633*i**3/2 + 13631*i**2/2 - 10020*i + 4950 = 0.
5/4, 6, 11
Determine q, given that -14*q**5 - 94*q**4 - 140*q**3 + 104*q**2 + 208*q - 64 = 0.
-4, -2, 2/7, 1
Factor -65*i**2 + 20465*i + 3150.
-5*(i - 315)*(13*i + 2)
Factor 3*x**2 - 138*x - 141.
3*(x - 47)*(x + 1)
Suppose n**4 + 5*n**3 - 33*n**2 + 27*n = 0. Calculate n.
-9, 0, 1, 3
Suppose -2*i**4/11 + 6*i**3/11 + 36*i**2/11 + 8*i/11 - 48/11 = 0. What is i?
-2, 1, 6
Determine q so that 3*q**2 - 1353*q = 0.
0, 451
Let 100*p**4 + 180*p**3 - 104*p**2 - 144*p - 32 = 0. What is p?
-2, -2/5, 1
Suppose -3*y**5 + 15*y**4 - 30*y**3 + 30*y**2 - 15*y + 3 = 0. Calculate y.
1
Factor -3*p**4 + 9*p**3 + 6*p**2 - 36*p + 24.
-3*(p - 2)**2*(p - 1)*(p + 2)
Factor 5*w**4 + 45*w**3 + 10*w**2 - 240*w.
5*w*(w - 2)*(w + 3)*(w + 8)
Determine r, given that -10*r**4/13 - 1874*r**3/13 + 3022*r**2/13 - 382*r/13 - 756/13 = 0.
-189, -2/5, 1
Factor 4*q**3 + 92*q**2 + 616*q + 1248.
4*(q + 4)*(q + 6)*(q + 13)
Factor -m**2/4 - 147*m/2 - 293/4.
-(m + 1)*(m + 293)/4
Let -4*c**3 - 100*c**2 - 672*c - 576 = 0. Calculate c.
-12, -1
Solve 2*u**4/15 - 2*u**3/3 - 14*u**2/5 - 46*u/15 - 16/15 = 0.
-1, 8
Factor 3*z**2 + 105*z + 198.
3*(z + 2)*(z + 33)
Factor f**4/6 - f**2/2 - f/3.
f*(f - 2)*(f + 1)**2/6
Factor 4*n**2/9 + 3608*n/9 + 813604/9.
4*(n + 451)**2/9
What is n in -20*n**4 - 12*n**3 + 28*n**2 + 12*n - 8 = 0?
-1, 2/5, 1
Determine w, given that -15*w**3 + 565*w**2 - 370*w = 0.
0, 2/3, 37
Determine m so that -3*m**4 - 6*m**3 + 60*m**2 - 72*m = 0.
-6, 0, 2
Determine w, given that -