*z**2/4 - 6*z - 9 = 0.
-3, -1, 2
Suppose -4*b**2 + 164*b - 160 = 0. What is b?
1, 40
Factor -4*z**2 + 164*z + 1344.
-4*(z - 48)*(z + 7)
Solve c**3 - 3*c**2 + 2*c = 0 for c.
0, 1, 2
Find j, given that -4*j**4 - 40*j**3 - 60*j**2 + 40*j + 64 = 0.
-8, -2, -1, 1
Factor -324*n**4 + 3708*n**3 - 1600*n**2 + 176*n.
-4*n*(n - 11)*(9*n - 2)**2
Factor -5*h**3 - 50*h**2 + 55*h.
-5*h*(h - 1)*(h + 11)
Factor w**4/4 - 15*w**3/4 - 73*w**2/4 - 57*w/4.
w*(w - 19)*(w + 1)*(w + 3)/4
Determine x, given that -4*x**2/7 - 160*x/7 + 704/7 = 0.
-44, 4
Factor 2*x**5/17 - 22*x**4/17 + 32*x**3/17 + 448*x**2/17 - 2048*x/17 + 2560/17.
2*(x - 4)**4*(x + 5)/17
Factor 2*x**2/13 + 1764*x/13 + 388962/13.
2*(x + 441)**2/13
Let -3*w**5/2 + 87*w**3 - 132*w**2 - 1035*w/2 - 300 = 0. Calculate w.
-8, -1, 5
Factor 4*r**3 + 121*r**2 - 94*r - 31.
(r - 1)*(r + 31)*(4*r + 1)
Factor -5*z**4 - 2150*z**3 + 6485*z**2 - 4330*z.
-5*z*(z - 2)*(z - 1)*(z + 433)
Factor -2*x**4 + 110*x**3 - 828*x**2.
-2*x**2*(x - 46)*(x - 9)
Factor -8*i**3 + 4378*i**2 - 597320*i - 450456.
-2*(i - 274)**2*(4*i + 3)
Suppose -2*d**2/9 - 128*d - 18432 = 0. What is d?
-288
Let -2*c**5/13 + 86*c**4/13 - 788*c**3/13 - 2900*c**2/13 - 3082*c/13 - 1058/13 = 0. Calculate c.
-1, 23
Factor 2*w**2/17 + 616*w/17 + 3624/17.
2*(w + 6)*(w + 302)/17
Factor -t**3/2 - 5*t**2/2 + 13*t/2 - 7/2.
-(t - 1)**2*(t + 7)/2
Factor -3*c**3 - 87*c**2 - 165*c - 81.
-3*(c + 1)**2*(c + 27)
Determine n so that -n**5 - 62*n**4 - 291*n**3 - 338*n**2 + 236*n + 456 = 0.
-57, -2, 1
Find z such that -5*z**5 - 70*z**4 - 105*z**3 + 200*z**2 + 220*z - 240 = 0.
-12, -2, 1
Determine m, given that -4*m**5/3 - 28*m**4/3 - 44*m**3/3 + 76*m**2/3 + 80*m + 48 = 0.
-3, -2, -1, 2
Solve 2*c**2 + 576*c + 41472 = 0 for c.
-144
Factor 75*u**2 + 11335*u + 1510.
5*(u + 151)*(15*u + 2)
Factor i**4/2 - 9*i**3/2.
i**3*(i - 9)/2
Solve 2*o**3/13 + 160*o**2/13 + 3200*o/13 = 0 for o.
-40, 0
Factor -r**3 - 2163*r**2 - 1559523*r - 374805361.
-(r + 721)**3
Find s such that 5*s**4/3 - 80*s**3/3 + 90*s**2 + 80*s/3 - 275/3 = 0.
-1, 1, 5, 11
Factor -3*z**2/4 - 75*z/2 - 147/4.
-3*(z + 1)*(z + 49)/4
Factor 20*f**3 - 1736*f**2 + 39984*f - 98784.
4*(f - 42)**2*(5*f - 14)
Solve 27*l**5 + 1143*l**4 - 32667*l**3 + 160773*l**2 + 259248*l + 91476 = 0 for l.
-63, -2/3, 11
Factor 5*l**5 + 75*l**4 + 70*l**3.
5*l**3*(l + 1)*(l + 14)
Factor 4*k**3 - 12*k**2.
4*k**2*(k - 3)
Factor -6*r**3 - 39*r**2 - 18*r.
-3*r*(r + 6)*(2*r + 1)
Solve s**5 + 58*s**4 + 1224*s**3 + 11232*s**2 + 38016*s = 0 for s.
-22, -12, 0
Solve 27*l**5/4 + 117*l**4/4 + 87*l**3/2 + 27*l**2 + 6*l = 0.
-2, -1, -2/3, 0
Find f, given that 5*f**2 - 2325*f - 4670 = 0.
-2, 467
Suppose -2*l**2/3 + 2/3 = 0. Calculate l.
-1, 1
Factor 33*v**5/4 - 45*v**4 + 72*v**3 - 12*v**2 - 36*v.
3*v*(v - 2)**3*(11*v + 6)/4
What is p in 4*p**5 - 140*p**4 + 996*p**3 + 4028*p**2 + 2888*p = 0?
-2, -1, 0, 19
Factor 2*p**4 - 360*p**3 + 21948*p**2 - 473416*p + 1232274.
2*(p - 59)**3*(p - 3)
Determine o, given that o**2 + 294*o + 21609 = 0.
-147
Factor -45387*n**3 + 46863*n**2 - 1488*n + 12.
-3*(n - 1)*(123*n - 2)**2
Factor -3*x**3 + 3*x.
-3*x*(x - 1)*(x + 1)
Factor -3*m**2/4 - 3*m/2.
-3*m*(m + 2)/4
Suppose -f**5 - 21*f**4 - 152*f**3 - 452*f**2 - 576*f - 256 = 0. Calculate f.
-8, -2, -1
Factor -4*s**3 - 44*s**2 + 4*s + 44.
-4*(s - 1)*(s + 1)*(s + 11)
Factor 2*k**5/9 - 52*k**4/9.
2*k**4*(k - 26)/9
Suppose 2*b**3/5 + 76*b**2/5 + 418*b/5 - 496/5 = 0. Calculate b.
-31, -8, 1
What is a in -4*a**2/3 + 19888*a/3 - 24720784/3 = 0?
2486
Determine p so that -4*p**4 - 68*p**3 - 120*p**2 = 0.
-15, -2, 0
Factor -2*d**2 + 206*d + 208.
-2*(d - 104)*(d + 1)
Suppose 3*g**2/4 - 3*g/4 - 63/2 = 0. What is g?
-6, 7
Factor 3*p**2/4 - 18*p - 891/4.
3*(p - 33)*(p + 9)/4
Factor -q**4/5 - 9*q**3/5 - 6*q**2/5 + 16*q/5.
-q*(q - 1)*(q + 2)*(q + 8)/5
Factor 5*s**3 + 20*s**2 + 15*s.
5*s*(s + 1)*(s + 3)
Determine w, given that 5*w**2/4 - 22155*w/2 + 98168805/4 = 0.
4431
Factor 10*a**3 - 3054*a**2 + 1220*a.
2*a*(a - 305)*(5*a - 2)
Factor 2*b**2/5 + 2*b + 12/5.
2*(b + 2)*(b + 3)/5
Factor -3*j**5/8 + 15*j**4/8 + 27*j**3/8 - 243*j**2/8 + 81*j/2.
-3*j*(j - 3)**3*(j + 4)/8
Let -2*a**2 - 14*a = 0. What is a?
-7, 0
Find y such that 3*y**5 + 1974*y**4 - 7935*y**3 + 5970*y**2 + 7932*y - 7944 = 0.
-662, -1, 1, 2
Factor z**3/4 - 53*z**2/4 - 14*z + 27.
(z - 54)*(z - 1)*(z + 2)/4
Factor 5*h**2/4 + 25*h/4 + 5.
5*(h + 1)*(h + 4)/4
What is h in -49*h**3 + 77*h**2 + 45*h - 81 = 0?
-1, 9/7
Solve 2*q**5 - 210*q**4 - 442*q**3 + 1506*q**2 - 856*q = 0.
-4, 0, 1, 107
Let -5*i**2 + 715*i = 0. Calculate i.
0, 143
Factor -3*w**2 + 186*w - 2883.
-3*(w - 31)**2
Determine z, given that 2*z**2/7 - 66*z/7 - 68/7 = 0.
-1, 34
Let -3*c**2 + 504*c - 996 = 0. Calculate c.
2, 166
Factor 4*f**4 + 28*f**3 + 28*f**2 - 60*f.
4*f*(f - 1)*(f + 3)*(f + 5)
Let 4*x**2 + 150*x - 234 = 0. What is x?
-39, 3/2
Suppose -125*p**5 - 900*p**4 + 780*p**3 - 160*p**2 = 0. Calculate p.
-8, 0, 2/5
Factor -961*b**3/2 + 124*b**2 - 8*b.
-b*(31*b - 4)**2/2
Factor 2*o**4/5 - 6*o**3/5 + 6*o**2/5 - 2*o/5.
2*o*(o - 1)**3/5
Determine t, given that 2*t**4/3 + 1228*t**3/3 + 189722*t**2/3 + 125256*t + 62424 = 0.
-306, -1
Factor -2*u**2/15 - 124*u/5 - 5766/5.
-2*(u + 93)**2/15
Factor 2*t**2 - 26*t.
2*t*(t - 13)
Solve -12*t**5 + 148*t**4 - 180*t**3 + 44*t**2 = 0.
0, 1/3, 1, 11
Find t, given that -2*t**3 + 1062*t**2 - 140448*t - 141512 = 0.
-1, 266
Solve 2*k**3/11 - 332*k**2/11 + 13440*k/11 + 28224/11 = 0.
-2, 84
Solve -10*k**5/13 - 846*k**4/13 + 350*k**3/13 + 846*k**2/13 - 340*k/13 = 0.
-85, -1, 0, 2/5, 1
Factor 3*l**3/2 - 57*l**2 - 117*l/2.
3*l*(l - 39)*(l + 1)/2
Factor -2*c**2 + 132*c + 134.
-2*(c - 67)*(c + 1)
Determine l so that l**4/4 - 156*l**3 + 36504*l**2 - 3796416*l + 148060224 = 0.
156
Factor -21*w**3 + 40*w**2 + 4*w.
-w*(w - 2)*(21*w + 2)
Suppose -4*w**5 + 120*w**4 - 896*w**3 - 120*w**2 + 900*w = 0. What is w?
-1, 0, 1, 15
Let 3*g**4 - 1089*g**3 - 1095*g**2 + 1089*g + 1092 = 0. Calculate g.
-1, 1, 364
Suppose p**4/3 - 110*p**3/3 + 35*p**2 + 440*p/3 - 436/3 = 0. Calculate p.
-2, 1, 2, 109
Let 33*g**3/8 + 261*g**2/4 + 252*g - 48 = 0. What is g?
-8, 2/11
Factor 4*s**2 - 140*s + 264.
4*(s - 33)*(s - 2)
Find c, given that 39*c**4 + 210*c**3 + 207*c**2 - 216*c = 0.
-3, 0, 8/13
Find f, given that f**2/2 - 3*f/2 - 27 = 0.
-6, 9
Factor -18*p**2 + 3*p.
-3*p*(6*p - 1)
Factor 2*k**2/3 + 200*k + 1192/3.
2*(k + 2)*(k + 298)/3
Factor -k**5 + 4*k**4 - 2*k**3 - 4*k**2 + 3*k.
-k*(k - 3)*(k - 1)**2*(k + 1)
Factor -4*b**3/7 - 656*b**2/7 + 660*b/7.
-4*b*(b - 1)*(b + 165)/7
Factor -d**5 + 9*d**4 - 14*d**3 - 34*d**2 + 15*d + 25.
-(d - 5)**2*(d - 1)*(d + 1)**2
Let -2*x**3/5 - 14*x**2/5 + 98*x/5 + 22 = 0. What is x?
-11, -1, 5
Factor -3*k**3/5 + 69*k**2/5 + 72*k/5.
-3*k*(k - 24)*(k + 1)/5
Factor 130*k**3 + 1945*k**2 + 5645*k - 220.
5*(k + 4)*(k + 11)*(26*k - 1)
Let 547*f**2/9 - 61*f + 2/9 = 0. Calculate f.
2/547, 1
Factor 5*v**2 - 11290*v - 11295.
5*(v - 2259)*(v + 1)
Determine w so that -6*w**2/7 + 66*w + 1440/7 = 0.
-3, 80
Factor -4*j**2 - 280*j - 4900.
-4*(j + 35)**2
What is h in -2*h**4/13 + 122*h**3/13 + 258*h**2/13 - 378*h/13 = 0?
-3, 0, 1, 63
Factor -2*p**5 + 6*p**4 + 8*p**3 - 32*p**2 + 32.
-2*(p - 2)**3*(p + 1)*(p + 2)
Find a such that -2*a**2 - 106*a - 1040 = 0.
-40, -13
Let 3*j**4/5 - 36*j**3/5 - 27*j**2 = 0. Calculate j.
-3, 0, 15
Determine g, given that -g**4/6 + g**3/6 + 601*g**2/6 - g/6 - 100 = 0.
-24, -1, 1, 25
Factor 4*h**4 - 20*h**3 + 24*h**2.
4*h**2*(h - 3)*(h - 2)
Find p such that -3*p**4/5 + 18*p**3/5 - 36*p**2/5 + 6*p - 9/5 = 0.
1, 3
Find u such that -2*u**5/5 + 2*u**4/5 + 14*u**3/5 - 2*u**2/5 - 12*u/5 = 0.
-2, -1, 0, 1, 3
Determine n, given that 2*n**2/5 + 972*n/5 + 118098/5 = 0.
-243
Factor 5*v**3 + 575*v**2 + 16815*v + 16245.
5*(v + 1)*(v + 57)**2
What is s in -2*s**2 + 13*s - 18 = 0?
2, 9/2
What is d in -d**2/2 + 18*d + 301/2 = 0?
-7, 43
Factor -2*x**3/3 + 10*x**2/3 + 68*x/3 - 160/3.
-2*(x - 8)*(x - 2)*(x + 5)/3
What is m in 86*m**3 - 151*m**2 + 44*m + 21 = 0?
-21/86, 1
Let 155*i**2 + 72*i + 4 = 0. Calculate i.
-2/5, -2/31
Factor -5*d**3 + 105*d**2 + 45*d - 945.
-5*(d - 21)*(d - 3)*(d + 3)
Determine m, given that 20*m**4 + 1160*m**3 + 2185*m**2 - 3065*m + 840 = 0.
-56, -3, 1/2
Find i, given that i**5 - 6*i**4 + i**3 + 24*i**2 - 20*i = 0.
-2, 0, 1, 2, 5
Factor