2/7 - 34*p + 28.
2*(p - 2)*(p - 1)*(p + 7)**2/7
Suppose 3*y**4/8 + 9*y**3/4 + 9*y**2/8 - 15*y/4 = 0. What is y?
-5, -2, 0, 1
Determine m, given that -458882*m**2/5 + 5748*m/5 - 18/5 = 0.
3/479
Factor -a**2/2 - 454*a - 103058.
-(a + 454)**2/2
What is q in -2*q**2 - 64*q - 174 = 0?
-29, -3
Determine v, given that -2*v**2/5 + 112*v/5 - 216/5 = 0.
2, 54
Let -3*x**5/7 - 27*x**4/7 + 48*x**3/7 + 180*x**2/7 = 0. What is x?
-10, -2, 0, 3
Solve 3*b**4 + 3*b**3 - 45*b**2 - 27*b + 162 = 0.
-3, 2, 3
Let -3*n**5/2 - 11*n**4/4 + 47*n**3/2 - 11*n**2/4 - 15*n/2 = 0. What is n?
-5, -1/2, 0, 2/3, 3
Find j, given that 16*j**4 - 374*j**3 + 122*j**2 + 374*j - 138 = 0.
-1, 3/8, 1, 23
Factor 6*a**3 - 465*a**2/4 + 987*a/4 - 153/2.
3*(a - 17)*(a - 2)*(8*a - 3)/4
Factor -8*l**2 - 100*l.
-4*l*(2*l + 25)
Let -2*g**4/3 - 26*g**3/3 - 86*g**2/3 - 10*g + 48 = 0. What is g?
-8, -3, 1
Factor 2*o**3/15 + 2*o**2 + 88*o/15 - 8.
2*(o - 1)*(o + 6)*(o + 10)/15
Factor -3*x**2 - 15*x + 378.
-3*(x - 9)*(x + 14)
Factor a**3/7 - 159*a**2/7 + 4959*a/7 + 113535/7.
(a - 87)**2*(a + 15)/7
Factor -2*g**3 - 16*g**2 + 18*g.
-2*g*(g - 1)*(g + 9)
Determine i, given that 2*i**2/7 - 206*i/7 - 208/7 = 0.
-1, 104
Find c such that 8*c**3 + 20*c**2 - 12*c = 0.
-3, 0, 1/2
Factor -t**5 - 2*t**4 + t**3 + 2*t**2.
-t**2*(t - 1)*(t + 1)*(t + 2)
Factor 2*x**4/19 - 344*x**3/19 + 14792*x**2/19.
2*x**2*(x - 86)**2/19
Suppose 7*o**4/3 - 23*o**3/3 - 22*o**2/3 + 8*o/3 = 0. Calculate o.
-1, 0, 2/7, 4
Suppose 12*z**4 + 4*z**3 - 116*z**2 - 36*z + 72 = 0. What is z?
-3, -1, 2/3, 3
What is u in 2*u**3/11 + 170*u**2/11 + 656*u/11 + 648/11 = 0?
-81, -2
Determine b, given that -10*b**4 - 26*b**3 - 18*b**2 + 2*b + 4 = 0.
-1, 2/5
Let t**3 - 47*t**2 + 46*t = 0. Calculate t.
0, 1, 46
Solve v**2/2 - 5*v + 8 = 0 for v.
2, 8
Factor 400*x**2 + 20*x + 1/4.
(40*x + 1)**2/4
Factor -3*c**3/2 + 21*c/2 - 9.
-3*(c - 2)*(c - 1)*(c + 3)/2
Solve 3*n**4/4 + 9*n**3/4 - 3*n = 0 for n.
-2, 0, 1
Factor 4*z**2/7 - 472*z/7 + 13924/7.
4*(z - 59)**2/7
Factor d**5/8 + 81*d**4/8 + 237*d**3/8 + 235*d**2/8 + 39*d/4.
d*(d + 1)**3*(d + 78)/8
Factor -q**4/3 - q**3/3 + 4*q**2/3 + 4*q/3.
-q*(q - 2)*(q + 1)*(q + 2)/3
Find g such that -2*g**4 - 12*g**3 + 102*g**2 - 88*g = 0.
-11, 0, 1, 4
Factor -t**4/2 + 1904*t**3 - 2718912*t**2 + 1725602816*t - 410693470208.
-(t - 952)**4/2
Solve -b**5/3 - 79*b**4/3 + 2*b**3 + 466*b**2/3 - 629*b/3 + 79 = 0.
-79, -3, 1
Factor 28*f**2 - 4428*f - 3816.
4*(f - 159)*(7*f + 6)
Let i**5 + 4*i**4 - 18*i**3 + 20*i**2 - 7*i = 0. What is i?
-7, 0, 1
Find p, given that p**4/4 - 3*p**3/4 - 3*p**2/2 + 2*p = 0.
-2, 0, 1, 4
Factor -q**2/5 - 84*q + 844/5.
-(q - 2)*(q + 422)/5
Factor 2*h**2/19 + 358*h/19 + 356/19.
2*(h + 1)*(h + 178)/19
Determine d so that 2*d**4 + 102*d**3 - 546*d**2 + 778*d - 336 = 0.
-56, 1, 3
Find x, given that -2*x**2/7 - 20*x/7 + 16 = 0.
-14, 4
Find x such that -4*x**5/5 - 50*x**4 - 368*x**3/5 - 122*x**2/5 = 0.
-61, -1, -1/2, 0
Factor x**2 + 3*x - 18.
(x - 3)*(x + 6)
Factor -o**3/5 - 53*o**2/5 - 10*o + 104/5.
-(o - 1)*(o + 2)*(o + 52)/5
Suppose -3*n**2 + 27*n + 108 = 0. Calculate n.
-3, 12
Determine b, given that -4*b**4/3 + 1187*b**3/3 - 29501*b**2 + 65416*b/3 + 21904/3 = 0.
-1/4, 1, 148
Factor -4*c**2/3 + 68*c/3 + 4472/3.
-4*(c - 43)*(c + 26)/3
Suppose 7*c**3/4 - 257*c**2/4 + 2185*c/4 + 3249/4 = 0. Calculate c.
-9/7, 19
Solve -5*b**5 + 25*b**4 + 35*b**3 - 25*b**2 - 30*b = 0 for b.
-1, 0, 1, 6
Factor d**3 - 42*d**2 - 4704*d - 76832.
(d - 98)*(d + 28)**2
Determine b, given that 14*b**2/5 - 8*b/5 - 6/5 = 0.
-3/7, 1
Factor -i**2/3 + 73*i/3 - 1312/3.
-(i - 41)*(i - 32)/3
Factor -2*m**3/3 + 16*m**2.
-2*m**2*(m - 24)/3
Factor -5*h**3/8 + 23*h**2/8 + 5*h/4.
-h*(h - 5)*(5*h + 2)/8
Determine f, given that -2*f**5 + 10*f**4 + 34*f**3 - 42*f**2 = 0.
-3, 0, 1, 7
Suppose -2*c**2/7 - 326*c/7 - 960/7 = 0. What is c?
-160, -3
Let -4*f**2 - 20*f - 16 = 0. What is f?
-4, -1
Factor 3*b**3/2 + 141*b**2 + 2085*b/2 + 903.
3*(b + 1)*(b + 7)*(b + 86)/2
Find y, given that -4*y**3 - 80*y**2 - 204*y = 0.
-17, -3, 0
Factor 4*j**3/7 + 52*j**2/7 - 1408*j/7 - 19456/7.
4*(j - 19)*(j + 16)**2/7
Solve 3*h**2 + 9993*h + 9990 = 0 for h.
-3330, -1
Solve -16*f**2 + 428*f + 108 = 0.
-1/4, 27
Suppose 5*p**5/3 - 5*p**4 + 5*p**3 - 5*p**2/3 = 0. What is p?
0, 1
Factor -22*p**2/3 + 1016*p/3 - 184/3.
-2*(p - 46)*(11*p - 2)/3
Determine r, given that -24*r**5/11 + 49*r**4/11 + 11*r**3 - 155*r**2/11 - 9*r/11 + 18/11 = 0.
-2, -1/3, 3/8, 1, 3
Factor 4*o**3/3 - 224*o**2/3 + 3136*o/3.
4*o*(o - 28)**2/3
Factor 35*z**2 + 1083*z - 62.
(z + 31)*(35*z - 2)
Suppose -6*a**2 - 2294*a - 764 = 0. What is a?
-382, -1/3
What is y in -y**5 - 27*y**4 + 121*y**3 - 93*y**2 = 0?
-31, 0, 1, 3
Determine a, given that -2*a**5/19 - 128*a**4/19 - 606*a**3/19 - 952*a**2/19 - 472*a/19 = 0.
-59, -2, -1, 0
Factor 204800*m**4 + 157440*m**3 + 27698*m**2 - 984*m + 8.
2*(5*m + 2)**2*(64*m - 1)**2
Find u, given that 4*u**4 + 24*u**3 - 252*u**2 - 1568*u = 0.
-7, 0, 8
Factor -4*r**5/3 + 4*r**4 - 8*r**3/3.
-4*r**3*(r - 2)*(r - 1)/3
What is i in -3*i**5 + 537*i**4 - 23712*i**3 - 33000*i**2 + 399600*i - 486000 = 0?
-5, 2, 90
Find j, given that -8*j**4 + 34*j**3 + 224*j**2 + 134*j - 48 = 0.
-3, -1, 1/4, 8
Factor 3*z**5/5 - 3*z**4 + 18*z**3/5.
3*z**3*(z - 3)*(z - 2)/5
Factor -105*o**2/2 - 5*o.
-5*o*(21*o + 2)/2
Let -x**3/3 - 59*x**2/3 - 224*x/3 - 220/3 = 0. Calculate x.
-55, -2
Solve 2*x**2/9 - 152*x/3 + 2888 = 0.
114
Factor 4*l**2 + 908*l + 6160.
4*(l + 7)*(l + 220)
Determine j, given that -2*j**4/13 + 30*j**3/13 - 132*j**2/13 + 232*j/13 - 144/13 = 0.
2, 9
Factor -230*s**2 + 5*s.
-5*s*(46*s - 1)
Determine x so that 9*x**2/4 - 41*x/2 - 20 = 0.
-8/9, 10
Let 5*v**4 + 615*v**3 + 1210*v**2 = 0. What is v?
-121, -2, 0
Factor 5*p**4 + 295*p**3 + 2120*p**2 + 4080*p.
5*p*(p + 4)**2*(p + 51)
Factor 2*t**3/17 + 38*t**2/17 + 240*t/17 + 504/17.
2*(t + 6)**2*(t + 7)/17
Let 2*r**2/7 + 22*r - 5100/7 = 0. What is r?
-102, 25
Let -6*m**4 - 64*m**3 - 116*m**2 + 256*m - 70 = 0. What is m?
-7, -5, 1/3, 1
Suppose -4*h**3 + 248*h**2 - 4080*h + 7200 = 0. Calculate h.
2, 30
Let m**4 + 17*m**3/3 + 7*m**2/3 - 17*m/3 - 10/3 = 0. Calculate m.
-5, -1, -2/3, 1
Factor 2*g**5/13 - 28*g**4/13 + 80*g**3/13.
2*g**3*(g - 10)*(g - 4)/13
Find n such that 2*n**2 - 652*n + 53138 = 0.
163
Factor t**3/3 + 38*t**2.
t**2*(t + 114)/3
Suppose 2*s**3/13 - 4*s**2 + 258*s/13 - 360/13 = 0. Calculate s.
3, 20
Let -3*b**3 + 411*b**2 - 13440*b - 44100 = 0. What is b?
-3, 70
Suppose 260*y**3/7 + 8*y**2/7 - 1040*y/7 - 32/7 = 0. Calculate y.
-2, -2/65, 2
Let -6*q**2/7 - 216*q/7 + 222/7 = 0. Calculate q.
-37, 1
Determine h so that -23*h**3/7 - 94*h**2/7 - 11*h - 6/7 = 0.
-3, -1, -2/23
Suppose 4*s**3 - 492*s**2 = 0. Calculate s.
0, 123
Let -5*h**5 - 170*h**4 + 935*h**3 - 1540*h**2 + 780*h = 0. What is h?
-39, 0, 1, 2
Determine q, given that 4*q**2 + 488*q - 492 = 0.
-123, 1
Factor -w**2/4 - 27*w/4 - 63/2.
-(w + 6)*(w + 21)/4
Solve d**2/2 - 4*d = 0 for d.
0, 8
Factor -3*q**4 - 45*q**3 - 159*q**2 - 63*q + 270.
-3*(q - 1)*(q + 3)**2*(q + 10)
Factor -5*s**4 - 20*s**3 + 1460*s**2 - 2800*s.
-5*s*(s - 14)*(s - 2)*(s + 20)
Determine c, given that 2*c**5/21 - 2*c**4/7 - 22*c**3/21 + 2*c**2/7 + 20*c/21 = 0.
-2, -1, 0, 1, 5
Find o such that o**2 + 378*o + 752 = 0.
-376, -2
Factor 6*b**2/7 + 5850*b/7 - 17604/7.
6*(b - 3)*(b + 978)/7
Factor 3*n**3 + 297*n**2 + 7200*n - 7500.
3*(n - 1)*(n + 50)**2
Determine m so that -3*m**2/4 - 1110*m - 410700 = 0.
-740
Factor -16*b**3 - 84*b**2 - 20*b.
-4*b*(b + 5)*(4*b + 1)
Factor -4*d**3 - 40*d**2 + 284*d - 240.
-4*(d - 4)*(d - 1)*(d + 15)
Determine a so that -3*a**3/5 + 72*a**2/5 + 513*a/5 + 162 = 0.
-3, 30
Factor 5*l**3/6 + 65*l**2/6 + 55*l/3.
5*l*(l + 2)*(l + 11)/6
Determine z, given that 5*z**4 + 40*z**3 - 65*z**2 - 700*z = 0.
-7, -5, 0, 4
Factor 3*a**5 + 21*a**4 + 48*a**3 + 24*a**2 - 48*a - 48.
3*(a - 1)*(a + 2)**4
Factor -5*o**2 - 300*o - 4500.
-5*(o + 30)**2
Determine y, given that -5*y**4 + 265*y**3 + 545*y**2 + 275*y = 0.
-1, 0, 55
Factor -l**2/3 - 3266*l/3 - 2666689/3.
-(l + 1633)**2/3
Factor -2*u**2/13 - 92*u/13 - 930/13.
-2*(u + 15)*(u + 31)/13
What is q in 3*q**3 + 327*q**2 + 9945*q + 54621 = 0?
-51, -7
Solve 28*x**5 - 736*x**4 - 1556*x**3 + 6104*x**2 - 4736*x + 896 = 0 for x.
-4, 2/7, 1, 28
Find n such that n**4/3 - 2*n**3 