-2*q**2 + 2.
-2*(q - 1)*(q + 1)
Factor -2*r**4 - 108*r**3 - 1346*r**2 + 3024*r - 1568.
-2*(r - 1)**2*(r + 28)**2
Suppose 445*l**2 + 25*l = 0. Calculate l.
-5/89, 0
Suppose -3*v**4 - 15*v**3 + 39*v**2 - 21*v = 0. Calculate v.
-7, 0, 1
Factor -c**2/4 + 5*c/2 + 11/4.
-(c - 11)*(c + 1)/4
Let f**3 + 22*f**2 + 69*f - 432 = 0. What is f?
-16, -9, 3
Factor 3*z**4 + 180*z**3 + 684*z**2 + 672*z.
3*z*(z + 2)**2*(z + 56)
Factor 20*o**2 - 1836*o - 5688.
4*(o + 3)*(5*o - 474)
Factor -m**2/2 - 94*m - 4418.
-(m + 94)**2/2
Factor 5*m**5 - 135*m**3 - 250*m**2 - 120*m.
5*m*(m - 6)*(m + 1)**2*(m + 4)
Determine p so that -7*p**3/4 + 51*p**2/4 - 14*p + 3 = 0.
2/7, 1, 6
What is v in -v**3/3 + 62*v**2/3 - 144*v = 0?
0, 8, 54
Let -42*n**3/5 - 48*n**2/5 + 18*n = 0. Calculate n.
-15/7, 0, 1
Factor -4*w**2 + 140*w + 2024.
-4*(w - 46)*(w + 11)
Suppose -94*n**4 + 276*n**3 - 170*n**2 - 12*n = 0. What is n?
-3/47, 0, 1, 2
Suppose -21*r**5/5 - 5286*r**4/5 - 326466*r**3/5 + 787128*r**2/5 + 818007*r/5 - 290322/5 = 0. What is r?
-127, -1, 2/7, 3
Factor -25*l**2/2 - 195*l/4 - 135/4.
-5*(l + 3)*(10*l + 9)/4
Factor -a**2 + 18462*a - 85211361.
-(a - 9231)**2
Factor 2*k**2/3 + 530*k/3 + 1036.
2*(k + 6)*(k + 259)/3
Suppose -t**2/3 + 70*t/3 + 73 = 0. What is t?
-3, 73
Suppose b**5 - 59*b**4/4 - 91*b**3/4 + 1241*b**2/4 - 1485*b/4 - 225/2 = 0. What is b?
-5, -1/4, 2, 3, 15
Find p, given that -3*p**5 - 25*p**4 - 45*p**3 - 15*p**2 + 20*p + 12 = 0.
-6, -1, 2/3
Suppose -3025*b**5/7 - 15345*b**4/7 - 25304*b**3/7 - 13880*b**2/7 - 912*b/7 - 16/7 = 0. What is b?
-2, -1, -2/55
Determine t, given that 6*t**3/7 + 122*t**2/7 - 216*t/7 + 88/7 = 0.
-22, 2/3, 1
Find v such that 22*v**4 - 28384*v**3 + 12208560*v**2 - 1751372800*v + 318028000 = 0.
2/11, 430
Find d such that -d**5/5 - 8*d**4 + 84*d**3/5 = 0.
-42, 0, 2
Factor -2*c**3 + 1026*c**2 - 175446*c + 10000422.
-2*(c - 171)**3
Find h such that h**3/3 + 45*h**2 + 344*h + 2032/3 = 0.
-127, -4
Factor 3*x**2 - 870*x + 63075.
3*(x - 145)**2
Factor 4*v**2 + 2536*v + 401956.
4*(v + 317)**2
Find q such that -q**5/3 - 86*q**4/3 - 587*q**3 + 3784*q**2/3 - 1936*q/3 = 0.
-44, 0, 1
Factor -4*l**2 - 944*l - 55696.
-4*(l + 118)**2
Find r such that 4*r**3 - 96*r**2 + 336*r + 3136 = 0.
-4, 14
Suppose 2*u**5/11 - 72*u**4/11 + 698*u**3/11 - 108*u**2 + 560*u/11 = 0. Calculate u.
0, 1, 14, 20
Suppose 2*r**5/9 + 20*r**4/3 + 214*r**3/9 - 1316*r**2/3 - 24*r + 432 = 0. Calculate r.
-18, -1, 1, 6
Solve -2*m**4/11 - 2*m**3 + 132*m**2 = 0.
-33, 0, 22
Suppose -w**4 + 5*w**3 - 7*w**2 + 3*w = 0. What is w?
0, 1, 3
Factor 2*p**3/17 - 64*p**2/17 - 134*p/17 - 4.
2*(p - 34)*(p + 1)**2/17
Factor f**4 - 8*f**3 + 17*f**2 - 10*f.
f*(f - 5)*(f - 2)*(f - 1)
Let -b**2 - 96*b - 95 = 0. Calculate b.
-95, -1
Let -4*u**4 + 116*u**3/3 - 32*u**2 - 560*u/3 + 128 = 0. Calculate u.
-2, 2/3, 3, 8
Factor 4*s**4 - 44*s**3 + 112*s**2.
4*s**2*(s - 7)*(s - 4)
Factor 5*l**2 - 70*l - 255.
5*(l - 17)*(l + 3)
Factor 5*b**4 + 7645*b**3 - 22965*b**2 + 22975*b - 7660.
5*(b - 1)**3*(b + 1532)
Determine s, given that 2*s**2/7 - 108*s/7 - 590/7 = 0.
-5, 59
Factor f**2/3 - 31*f/3 - 32/3.
(f - 32)*(f + 1)/3
Find o, given that 3*o**4/4 + 3375*o**3/4 + 237726*o**2 + 236883*o = 0.
-562, -1, 0
Suppose 2*x**4 + 72*x**3 + 254*x**2 - 72*x - 256 = 0. What is x?
-32, -4, -1, 1
Find n such that 6*n**3/11 + 36*n**2/11 - 192/11 = 0.
-4, 2
Suppose 5*z**4 + 70*z**3 - 415*z**2 - 1020*z - 540 = 0. What is z?
-18, -1, 6
Let -2*q**3/3 - 20*q**2/3 - 26*q/3 + 16 = 0. Calculate q.
-8, -3, 1
Factor x**4/3 - 41*x**3 - 124*x**2/3.
x**2*(x - 124)*(x + 1)/3
Let 35*c**4 + 55*c**3 - 185*c**2 - 55*c + 150 = 0. What is c?
-3, -1, 1, 10/7
Let -5*t**4 - 895*t**3 - 1775*t**2 - 885*t = 0. Calculate t.
-177, -1, 0
Factor -n**5 + 2*n**4 + 31*n**3 + 28*n**2.
-n**2*(n - 7)*(n + 1)*(n + 4)
Find r such that -r**2/2 - 55*r/2 = 0.
-55, 0
Factor 2*g**2/5 - 238*g/5 - 484/5.
2*(g - 121)*(g + 2)/5
Solve 3*k**3 - 501*k**2 - 504*k = 0.
-1, 0, 168
Determine d so that -5*d**3/3 - 69*d**2 + 341*d/3 - 43 = 0.
-43, 3/5, 1
Factor 15*n**3 + 552*n**2 - 111*n.
3*n*(n + 37)*(5*n - 1)
Suppose 3*z**3 - 27*z**2 + 24*z = 0. Calculate z.
0, 1, 8
Determine z so that -z**4 - 3*z**3 = 0.
-3, 0
Find j, given that 4*j**2 - 3*j - 1 = 0.
-1/4, 1
Factor 2*v**3 + 202*v**2 - 412*v.
2*v*(v - 2)*(v + 103)
Factor -5*t**4 + 150*t**3 + 835*t**2 + 1380*t + 700.
-5*(t - 35)*(t + 1)*(t + 2)**2
Solve 5*z**3 + 3460*z**2 - 6940*z = 0.
-694, 0, 2
Factor 3*i**2 + 168*i + 1584.
3*(i + 12)*(i + 44)
Factor b**3/11 + 4*b**2/11 - 7*b/11 - 10/11.
(b - 2)*(b + 1)*(b + 5)/11
Find k such that -2*k**5/7 - 16*k**4/7 + 32*k**3/7 + 100*k**2/7 - 222*k/7 + 108/7 = 0.
-9, -3, 1, 2
Find a, given that -5*a**4 - 270*a**3 - 3365*a**2 + 7560*a - 3920 = 0.
-28, 1
Solve -b**2/6 - 47*b/6 + 8 = 0 for b.
-48, 1
Solve -i**5/10 - i**4/5 + 9*i**3/10 + i**2/5 - 4*i/5 = 0.
-4, -1, 0, 1, 2
Determine n, given that 3*n**3 - 318*n**2 + 8736*n - 16224 = 0.
2, 52
Find n, given that -2*n**5 + 98*n**4 - 372*n**3 + 548*n**2 - 362*n + 90 = 0.
1, 45
Factor 2*r**2 - 106*r - 108.
2*(r - 54)*(r + 1)
Factor 2*y**2/7 - 228*y/7.
2*y*(y - 114)/7
Suppose 676*j**3/3 + 2912*j**2/3 + 848*j/3 + 64/3 = 0. Calculate j.
-4, -2/13
Factor -y**2/6 - 964*y - 1393944.
-(y + 2892)**2/6
Determine v so that -5*v**4 + 19*v**3 - 22*v**2 + 8*v = 0.
0, 4/5, 1, 2
Factor -5*b**2 + 505*b + 3210.
-5*(b - 107)*(b + 6)
Determine c so that 14*c**3/3 + 94*c**2/3 + 56*c/3 - 8 = 0.
-6, -1, 2/7
Factor 4*l**2 - 140*l - 144.
4*(l - 36)*(l + 1)
Factor h**2/7 - 34*h/7 - 72/7.
(h - 36)*(h + 2)/7
Factor -2*y**2/11 + 612*y/11 - 46818/11.
-2*(y - 153)**2/11
Factor 2*h**3/5 - 16*h**2/5 + 2*h + 28/5.
2*(h - 7)*(h - 2)*(h + 1)/5
Let x**3/4 + 7*x**2/4 - 5*x/4 - 75/4 = 0. Calculate x.
-5, 3
What is x in -x**5 - 12*x**4/5 + 71*x**3/5 + 6*x**2 = 0?
-5, -2/5, 0, 3
Determine z, given that -7*z**4 - 72*z**3 + 344*z**2 - 288*z - 112 = 0.
-14, -2/7, 2
Factor 4*j**2 - 356*j - 360.
4*(j - 90)*(j + 1)
Determine m, given that -2*m**2 + 16052*m - 32208338 = 0.
4013
Factor -4*h**2 + 216*h.
-4*h*(h - 54)
Find t such that 4*t**2 - 212*t/7 + 16 = 0.
4/7, 7
Suppose 21*h**3/5 - 111*h**2/5 + 6*h = 0. What is h?
0, 2/7, 5
Find j, given that 2*j**3/3 + 4*j**2/3 - 50*j/3 - 100/3 = 0.
-5, -2, 5
Find s, given that 2*s**3/19 - 310*s**2/19 + 1806*s/19 - 2682/19 = 0.
3, 149
Find n such that -13*n**4 - n**3 + 12*n**2 = 0.
-1, 0, 12/13
Determine f, given that f**5/4 + 3*f**4/2 - 51*f**3/4 - 101*f**2 - 159*f - 72 = 0.
-6, -1, 8
Find r such that 2*r**4 + 22*r**3 - 2*r**2 - 22*r = 0.
-11, -1, 0, 1
Factor -a**2 - 126*a - 3969.
-(a + 63)**2
Determine l, given that -2*l**5/5 - 4*l**4 - 2*l**3/5 + 376*l**2/5 + 544*l/5 - 896/5 = 0.
-7, -4, 1, 4
Factor -2*u**4/9 - 4*u**3/9 + 10*u**2/9 + 4*u/3.
-2*u*(u - 2)*(u + 1)*(u + 3)/9
Factor -4*k**2/5 - 4*k + 24/5.
-4*(k - 1)*(k + 6)/5
Suppose -2*i**2/3 - 30*i - 748/3 = 0. Calculate i.
-34, -11
Factor 3*h**4/7 - 15*h**3/7 + 18*h**2/7.
3*h**2*(h - 3)*(h - 2)/7
Factor s**2 + 8803*s + 8802.
(s + 1)*(s + 8802)
Let 2*m**2/7 + 12*m/7 + 18/7 = 0. Calculate m.
-3
What is n in -2*n**3/7 + 44*n**2/7 - 46*n + 112 = 0?
7, 8
Suppose 3*m**3 - 150*m**2 - 153*m = 0. What is m?
-1, 0, 51
Determine l so that 2*l**5/7 - 2*l**4/7 - 2*l**3 + 2*l**2/7 + 12*l/7 = 0.
-2, -1, 0, 1, 3
Factor -a**5/7 + 6*a**4/7 - 9*a**3/7 + 4*a**2/7.
-a**2*(a - 4)*(a - 1)**2/7
Determine y, given that 3*y**3 + 63*y**2 - 2163*y - 2223 = 0.
-39, -1, 19
Let -3*q**3/5 - 18*q**2/5 - 3*q = 0. Calculate q.
-5, -1, 0
Let b**5/10 - 3*b**4/10 - 21*b**3/10 + 47*b**2/10 + 12*b - 72/5 = 0. Calculate b.
-3, 1, 4
Factor y**5 - 12*y**4 + 20*y**3 + 2*y**2 - 21*y + 10.
(y - 10)*(y - 1)**3*(y + 1)
Factor -9*q**3 - 2891*q**2 - 642*q.
-q*(q + 321)*(9*q + 2)
Suppose -8*q**4/3 + 44*q**3/3 + 80*q**2/3 + 28*q/3 = 0. What is q?
-1, -1/2, 0, 7
Find n, given that -5*n**4/4 - 245*n**3/4 - 905*n**2 - 2700*n + 18000 = 0.
-20, -12, 3
Suppose -5*s**4 - 45*s**3 - 85*s**2 + 165*s + 450 = 0. Calculate s.
-5, -3, 2
Factor -p**4/2 - 5*p**3/2 + 33*p**2/2 - 27*p/2.
-p*(p - 3)*(p - 1)*(p + 9)/2
Solve -20*s**5 + 45*s**4 + 10*s**3 - 45*s**2 + 10*s = 0 for s.
-1, 0, 1/4, 1, 2
Find j such that -3*j**3 + 489*j**2 + 3015*j + 4563 = 0.
-3, 169
Let -3*y**3/5 - 21*y**2/5 + 63*y/5 + 81/5 = 0. What is y?
-9, -1, 3
Find b, given that b**5/2 - 14*b**4 + 165*b**3/2 + 225*b**2 = 0.
-2