 that -6*x**2/5 + 22*x/5 - 4 = 0.
5/3, 2
Find y such that -98*y**2/5 + 28*y/5 - 2/5 = 0.
1/7
Suppose 3*z**2/7 - 15*z/7 - 72/7 = 0. What is z?
-3, 8
Factor -d**4 - 14*d**3 - 60*d**2 - 50*d + 125.
-(d - 1)*(d + 5)**3
Suppose -3*z**4/7 + 60*z**3/7 - 354*z**2/7 + 540*z/7 - 243/7 = 0. Calculate z.
1, 9
Factor -2*n**4 + 48*n**3 - 384*n**2 + 1024*n.
-2*n*(n - 8)**3
Let -z**5/3 - z**4/3 + 5*z**3/3 + z**2/3 - 8*z/3 + 4/3 = 0. What is z?
-2, 1
Find p, given that -5*p**5 + 50*p**4 - 180*p**3 + 290*p**2 - 215*p + 60 = 0.
1, 3, 4
Factor 2*q**2/5 - 632*q + 249640.
2*(q - 790)**2/5
Solve 3*m**3/5 + 12*m**2/5 - 153*m/5 + 54 = 0 for m.
-10, 3
Find r such that 3*r**2 - 516*r + 22188 = 0.
86
Factor -11*l**3/3 + 122*l**2/3 - 40*l.
-l*(l - 10)*(11*l - 12)/3
Factor i**2/6 + 37*i/3 - 25/2.
(i - 1)*(i + 75)/6
Let -2*k**3/7 + 24*k**2/7 - 40*k/7 = 0. Calculate k.
0, 2, 10
Let 3*p**5 - 3*p**4 - 63*p**3 + 3*p**2 + 60*p = 0. What is p?
-4, -1, 0, 1, 5
Find h, given that 2*h**5/3 + 94*h**4/3 + 50*h**3 - 474*h**2 - 1080*h = 0.
-45, -3, 0, 4
Factor u**4 + 25*u**3 + 176*u**2 + 260*u.
u*(u + 2)*(u + 10)*(u + 13)
Determine u so that u**2/4 + 47*u/4 = 0.
-47, 0
Factor 72*h**4/7 - 2040*h**3/7 + 14786*h**2/7 - 680*h + 56.
2*(h - 14)**2*(6*h - 1)**2/7
Factor 8788*g**4 - 20956*g**3 + 17784*g**2 - 6480*g + 864.
4*(g - 1)*(13*g - 6)**3
Suppose -t**5 + 22*t**4 - 54*t**3 - 484*t**2 - 713*t - 306 = 0. What is t?
-2, -1, 9, 17
Factor 2*r**3/5 - 996*r**2/5.
2*r**2*(r - 498)/5
Factor x**3 + 118*x**2 - 119*x.
x*(x - 1)*(x + 119)
Factor 75*o**3/2 - 95*o**2/2 + 32*o/3 - 2/3.
(o - 1)*(15*o - 2)**2/6
Let 2*t**2/3 - 58*t/3 + 36 = 0. What is t?
2, 27
Solve -9*t**5 - 39*t**4/4 + 69*t**3/4 + 3*t**2/2 = 0.
-2, -1/12, 0, 1
Solve 2*r**5/17 + 4*r**4/17 - 10*r**3/17 - 20*r**2/17 + 8*r/17 + 16/17 = 0.
-2, -1, 1, 2
Solve -8*j**3 + 1882*j**2 + 1418*j - 472 = 0.
-1, 1/4, 236
Factor 2*g**4/3 - 10*g**3/3 + 16*g**2/3 - 8*g/3.
2*g*(g - 2)**2*(g - 1)/3
Determine b so that -3*b**3 - 111*b**2 = 0.
-37, 0
Factor -s**4/8 + 5*s**3/4 - 4*s**2 + 19*s/4 - 15/8.
-(s - 5)*(s - 3)*(s - 1)**2/8
Let 3*p**5 - 708*p**4 + 41055*p**3 + 84966*p**2 = 0. Calculate p.
-2, 0, 119
Factor -2*t**2 - 632*t.
-2*t*(t + 316)
Factor -3*v**3/2 - 15*v**2/2 + 48*v - 54.
-3*(v - 2)**2*(v + 9)/2
Factor -2*l**3/9 + 2*l**2 - 52*l/9 + 16/3.
-2*(l - 4)*(l - 3)*(l - 2)/9
Let 8*i**4/7 - 166*i**3/7 + 534*i**2/7 - 400*i/7 - 136/7 = 0. Calculate i.
-1/4, 2, 17
Find m such that 3*m**3 + 24*m**2 + 45*m = 0.
-5, -3, 0
Let 2*l**3/11 + 1526*l**2/11 + 291846*l/11 + 290322/11 = 0. What is l?
-381, -1
Factor -7*r**3 + 149*r**2 + 1330*r - 392.
-(r - 28)*(r + 7)*(7*r - 2)
Determine t, given that -140*t**4 + 8*t**3 + 420*t**2 - 304*t + 16 = 0.
-2, 2/35, 1
Determine b, given that -2*b**2 + 260*b - 512 = 0.
2, 128
Let -3*p**3 - 87*p**2 + 90*p = 0. What is p?
-30, 0, 1
Suppose 3*o**5 - 339*o**4 + 10992*o**3 - 80544*o**2 + 199680*o - 129792 = 0. Calculate o.
1, 4, 52
Solve 5*l**4 - 20*l**3 - 55*l**2 - 30*l = 0 for l.
-1, 0, 6
Factor -3*q**2 - 912*q - 69312.
-3*(q + 152)**2
Solve -2*t**4/19 + 52*t**3/19 - 386*t**2/19 + 624*t/19 - 288/19 = 0 for t.
1, 12
Let 13*f**2 + 74*f + 105 = 0. What is f?
-3, -35/13
Factor 2*d**2 - 6732*d + 5664978.
2*(d - 1683)**2
Solve 3*o**5/7 + 12*o**4/7 - 81*o**3/7 - 102*o**2/7 + 24*o = 0 for o.
-7, -2, 0, 1, 4
What is r in -r**3/3 + 125*r**2/3 - 1144*r - 10164 = 0?
-7, 66
Factor -3*w**3/2 + 15*w**2/2 + 183*w/2 + 165/2.
-3*(w - 11)*(w + 1)*(w + 5)/2
What is n in 4*n**5 - 4*n**4 - 4*n**3 + 4*n**2 = 0?
-1, 0, 1
Factor -2*c**5 + 22*c**4 - 92*c**3 + 184*c**2 - 176*c + 64.
-2*(c - 4)*(c - 2)**3*(c - 1)
Find k, given that 3*k**4/2 - 32*k**3 + 381*k**2/2 - 210*k + 50 = 0.
1/3, 1, 10
Determine y so that 7*y**3 - 971*y**2 + 688*y + 276 = 0.
-2/7, 1, 138
Factor 2*v**3/9 + 20*v**2/9 - 98*v/9 - 260/9.
2*(v - 5)*(v + 2)*(v + 13)/9
Factor 12*f**5 + 33*f**4 + 30*f**3 + 9*f**2.
3*f**2*(f + 1)**2*(4*f + 3)
Factor -h**2/4 - 9*h/4 + 11/2.
-(h - 2)*(h + 11)/4
Find r, given that 5*r**4 - 30*r**3 - 40*r**2 + 30*r + 35 = 0.
-1, 1, 7
Factor -d**2/2 - 20*d + 129/2.
-(d - 3)*(d + 43)/2
Suppose 3*r**3/8 + 105*r**2/4 + 2517*r/8 + 1155/4 = 0. Calculate r.
-55, -14, -1
Suppose -2*r**4/3 - 362*r**3/3 - 5948*r**2 - 125560*r/3 + 325424/3 = 0. What is r?
-86, -11, 2
Factor d**2/3 - 92*d/3 + 91/3.
(d - 91)*(d - 1)/3
Factor 2*n**5/11 - 12*n**3/11 - 16*n**2/11 - 6*n/11.
2*n*(n - 3)*(n + 1)**3/11
Factor 3*j**4 + 7*j**3 + 5*j**2 + j.
j*(j + 1)**2*(3*j + 1)
Factor -l**3/4 + 102*l**2 - 41205*l/4 - 42025/2.
-(l - 205)**2*(l + 2)/4
Factor 2*w**4 - 45*w**3 - 71*w**2 - 24*w.
w*(w - 24)*(w + 1)*(2*w + 1)
Factor -2*w**5 + 4*w**4 + 4*w**3 - 16*w**2 + 14*w - 4.
-2*(w - 1)**4*(w + 2)
Suppose 2*z**4 - 6*z**3 - 6*z**2 + 22*z - 12 = 0. Calculate z.
-2, 1, 3
Factor 2*w**3/9 - 116*w**2/9 - 238*w/9 - 40/3.
2*(w - 60)*(w + 1)**2/9
Let -2*m**5/11 - 20*m**4/11 - 34*m**3/11 + 104*m**2/11 + 120*m/11 = 0. What is m?
-6, -5, -1, 0, 2
Solve 2*b**2 - 48*b - 104 = 0 for b.
-2, 26
Solve -a**5/3 - 52*a**4/3 - 365*a**3/3 - 578*a**2/3 - 88*a = 0.
-44, -6, -1, 0
Solve -r**4/2 - 13*r**3/2 - 16*r**2 - 10*r = 0.
-10, -2, -1, 0
Find m, given that 4*m**2/5 - 48*m/5 + 128/5 = 0.
4, 8
Factor -3*t**3/8 - 15*t**2/2 - 27*t/2.
-3*t*(t + 2)*(t + 18)/8
What is x in -x**2/5 - 14*x/5 - 49/5 = 0?
-7
Determine v, given that -v**2 - 196*v = 0.
-196, 0
Factor 42*z**3/5 + 4*z**2/5 - 42*z/5 - 4/5.
2*(z - 1)*(z + 1)*(21*z + 2)/5
Find f such that -f**4/5 - 3*f**3 - 39*f**2/5 - 37*f/5 - 12/5 = 0.
-12, -1
Let 3*o**2 + 2478*o - 7461 = 0. Calculate o.
-829, 3
Let 6*i**3 - 27*i**2 - 51*i - 18 = 0. What is i?
-1, -1/2, 6
Let o**3/3 + 28*o**2/3 + 52*o/3 = 0. What is o?
-26, -2, 0
What is d in 3*d**3/2 - 2001*d**2 + 3999*d/2 = 0?
0, 1, 1333
Factor 9*s**3/2 + 8*s**2 - 139*s/2 + 15.
(s - 3)*(s + 5)*(9*s - 2)/2
Let -2*g**3/13 + 90*g**2/13 - 88*g/13 = 0. What is g?
0, 1, 44
Let -12*l**3/5 - 4341*l**2/5 - 392046*l/5 + 98283/5 = 0. Calculate l.
-181, 1/4
Let 12*h**5 - 52*h**4 - 52*h**3 + 52*h**2 + 40*h = 0. What is h?
-1, -2/3, 0, 1, 5
Find x such that -4*x**4 + 28*x**3 + 12*x**2 - 76*x - 56 = 0.
-1, 2, 7
Factor 3*j**5 + 6*j**4 - 21*j**3 - 60*j**2 - 36*j.
3*j*(j - 3)*(j + 1)*(j + 2)**2
Factor 28*p**3 - 692*p**2 + 3328*p + 1008.
4*(p - 18)*(p - 7)*(7*p + 2)
What is l in -3*l**4/2 - 309*l**3/2 - 909*l**2/2 - 903*l/2 - 150 = 0?
-100, -1
Let -32*x**5/9 - 368*x**4/9 - 262*x**3/3 - 614*x**2/9 - 182*x/9 - 2 = 0. Calculate x.
-9, -1, -1/4
Solve 2*t**2 - 460*t - 462 = 0 for t.
-1, 231
Determine h so that -6*h**4 + 224*h**3 - 74*h**2 = 0.
0, 1/3, 37
Determine q, given that -5*q**5 + 25*q**4 - 35*q**3 - 5*q**2 + 40*q - 20 = 0.
-1, 1, 2
Let -9*i**4/2 - 101*i**3/2 - 119*i**2 + 138*i + 36 = 0. Calculate i.
-6, -2/9, 1
What is n in -2*n**5/5 + 94*n**4/5 + 98*n**3/5 - 94*n**2/5 - 96*n/5 = 0?
-1, 0, 1, 48
Factor g**3 + 97*g**2 + 190*g.
g*(g + 2)*(g + 95)
Find s, given that 5*s**5 - 85*s**4 + 125*s**3 + 405*s**2 - 450*s = 0.
-2, 0, 1, 3, 15
Factor 2*y**4/9 + 76*y**3/9 + 722*y**2/9.
2*y**2*(y + 19)**2/9
Factor t**5 - 5*t**4 + 6*t**3 + 2*t**2 - 7*t + 3.
(t - 3)*(t - 1)**3*(t + 1)
Factor -s**2/7 - 1100*s/7 - 302500/7.
-(s + 550)**2/7
Suppose -j**2 - 6*j - 8 = 0. What is j?
-4, -2
Let 4*h**3/7 - 208*h**2/7 - 880*h/7 - 128 = 0. What is h?
-2, 56
Determine u, given that 3*u**5 - 30*u**4 + 51*u**3 + 84*u**2 = 0.
-1, 0, 4, 7
Factor 2*r**4/11 + 12*r**3/11 + 24*r**2/11 + 20*r/11 + 6/11.
2*(r + 1)**3*(r + 3)/11
Solve 3*q**3/5 - 3*q**2 - 3*q/5 + 3 = 0 for q.
-1, 1, 5
Factor 2*p**3/3 - 17*p**2/3 + p/3 + 140/3.
(p - 7)*(p - 4)*(2*p + 5)/3
Find v, given that -v**2/3 - 252*v - 47628 = 0.
-378
Determine h, given that -h**3/5 - 24*h**2/5 + 51*h/5 - 26/5 = 0.
-26, 1
Solve -2*g**4/3 - 88*g**3/3 - 210*g**2 = 0 for g.
-35, -9, 0
Suppose -2*j**4/11 + 36*j**3/11 - 194*j**2/11 + 288*j/11 - 128/11 = 0. Calculate j.
1, 8
Factor q**2/3 - 496*q + 184512.
(q - 744)**2/3
Determine x so that -4*x**2 - 128*x - 124 = 0.
-31, -1
Let -9*b**5/8 - 183*b**4/8 - 535*b**3/8 - 425*b**2/8 + b/2 + 17/2 = 0. Calculate b.
-17, -2, -1, -2/3, 1/3
Factor p**2 - 902*p + 203401.
(p - 451)**2
Factor -b**5/2 - 37*b**4/2 - 197*b**3 - 485*b**2 - 901*b/2 - 289/2.
-(b + 1)**3*(b + 17)**2/2
Factor -p**3/2 - 83*p**2/4 - 197*p/4 - 39/2.
-(p + 2)*(p + 39)*(2*p + 1)/4
Determine z so that -z**5 - 46*z**4 - 313*z**3 + 4968*z**