 0.
-4, 3
Factor d**2 + 21*d + 38.
(d + 2)*(d + 19)
Factor o**5/2 - 4*o**4 + 6*o**3 + 27*o**2 - 189*o/2 + 81.
(o - 3)**3*(o - 2)*(o + 3)/2
Factor 2*h**4/7 + 124*h**3/7 + 2880*h**2/7 + 29700*h/7 + 114750/7.
2*(h + 15)**3*(h + 17)/7
Factor 4*q**2 - 208*q.
4*q*(q - 52)
Let -2*z**4/7 - 312*z**3/7 - 212*z**2 + 3912*z/7 - 302 = 0. What is z?
-151, -7, 1
Find i such that 5*i**2 - 4155*i = 0.
0, 831
Determine o, given that 2*o**4 + 42*o**3 - 222*o**2 - 562*o - 300 = 0.
-25, -1, 6
Find n such that 5*n**3/3 - 10*n**2 - 185*n/3 - 50 = 0.
-3, -1, 10
Suppose 2*p**2/7 - 200*p/7 - 408/7 = 0. Calculate p.
-2, 102
Determine v, given that -4*v**2 - 1352*v - 114244 = 0.
-169
Factor 2*v**2/3 + 6*v - 20/3.
2*(v - 1)*(v + 10)/3
Solve 3*y**2/8 - 3*y/8 - 9/2 = 0.
-3, 4
Factor -2*c**2/7 - 20*c/7 - 32/7.
-2*(c + 2)*(c + 8)/7
Determine c, given that -58*c**2 - 288*c/5 + 2/5 = 0.
-1, 1/145
Let -27*w**3/2 + 246*w**2 - 2295*w/2 + 243 = 0. What is w?
2/9, 9
Find v such that -2*v**4/3 + 4*v**3 + 504*v**2 + 13328*v/3 = 0.
-14, 0, 34
Solve -2*g**2/5 - 516*g - 166410 = 0.
-645
Factor -2*s**3/5 - 42*s**2/5 - 294*s/5 - 686/5.
-2*(s + 7)**3/5
Suppose j**3/2 - 11*j**2 + 37*j/2 + 30 = 0. Calculate j.
-1, 3, 20
Determine u, given that 28*u**2/11 - 310*u/11 + 2 = 0.
1/14, 11
Factor 2*r**2/5 + 32*r/5 - 42.
2*(r - 5)*(r + 21)/5
Solve -3*a**2/8 - 9*a/2 = 0.
-12, 0
Factor 98*l**3 + 2310*l**2 + 1296*l + 184.
2*(l + 23)*(7*l + 2)**2
Suppose 2*j**5 - 4*j**4 - 4*j**3 + 8*j**2 + 2*j - 4 = 0. What is j?
-1, 1, 2
Determine z, given that -z**2 - 160*z - 6400 = 0.
-80
Solve 46*p**4/5 - 134*p**3/5 + 16*p**2 + 8*p/5 = 0 for p.
-2/23, 0, 1, 2
Let -5*k**2 + 3050*k - 465125 = 0. Calculate k.
305
Factor -5*n**3 - 745*n**2 - 28120*n - 27380.
-5*(n + 1)*(n + 74)**2
Let -3*l**3 + 4218*l**2 - 1478400*l - 2973696 = 0. Calculate l.
-2, 704
Factor -2*n**3/23 - 18*n**2/23 - 48*n/23 - 32/23.
-2*(n + 1)*(n + 4)**2/23
What is b in 2*b**4/9 + 8*b**3/9 + 2*b**2/9 - 4*b/3 = 0?
-3, -2, 0, 1
Factor -d**2 - 1297*d.
-d*(d + 1297)
Suppose -2*n**2/23 - 264*n/23 - 8712/23 = 0. What is n?
-66
Determine d, given that -2*d**3 - 174*d**2 - 342*d - 170 = 0.
-85, -1
Factor -9*g**4 - 102*g**3 - 195*g**2 - 54*g.
-3*g*(g + 2)*(g + 9)*(3*g + 1)
Solve 3*c**3/2 + 3*c**2 = 0 for c.
-2, 0
Find r such that -2*r**4/7 + 44*r**3/7 + 94*r**2/7 + 48*r/7 = 0.
-1, 0, 24
Factor y**3/4 + 3*y**2 - 49*y/4 - 15.
(y - 4)*(y + 1)*(y + 15)/4
Factor v**3 + 15*v**2 + 54*v.
v*(v + 6)*(v + 9)
Factor 196*a**5 + 1288*a**4 + 2452*a**3 + 1104*a**2 + 144*a.
4*a*(a + 3)**2*(7*a + 2)**2
Factor -64*d**4 - 1488*d**3 + 1140*d**2 - 287*d + 24.
-(d + 24)*(4*d - 1)**3
Suppose -o**3/9 + 7*o**2/3 - 13*o/3 + 19/9 = 0. Calculate o.
1, 19
Determine y, given that -5*y**3 + 775*y**2 + 20*y - 3100 = 0.
-2, 2, 155
Factor 2*u**4/5 + 2*u**3 - 38*u**2/5 - 26*u + 60.
2*(u - 3)*(u - 2)*(u + 5)**2/5
Factor -3*g**3 + 54*g**2 - 243*g + 324.
-3*(g - 12)*(g - 3)**2
Factor -3*h**2/8 - 405*h/8.
-3*h*(h + 135)/8
Factor -3*m**2 - 45*m + 102.
-3*(m - 2)*(m + 17)
Factor -2*c**2 - 2*c.
-2*c*(c + 1)
Factor -j**5/6 + j**4/6 + 5*j**3/6 + j**2/2.
-j**2*(j - 3)*(j + 1)**2/6
Determine t, given that -3*t**5/5 + 507*t**4/5 - 2487*t**3/5 + 4449*t**2/5 - 690*t + 984/5 = 0.
1, 2, 164
Factor 8*s**4 + 12*s**3 - 12*s**2 - 28*s - 12.
4*(s + 1)**3*(2*s - 3)
Solve -d**2 - 8*d - 12 = 0 for d.
-6, -2
Factor 5*o**2 + 90*o + 385.
5*(o + 7)*(o + 11)
Factor 15*u**5 + 115*u**4 + 340*u**3 + 480*u**2 + 320*u + 80.
5*(u + 1)*(u + 2)**3*(3*u + 2)
Suppose -r**5/4 + 16*r**4 + 213*r**3/4 - 196*r**2 - 347*r + 804 = 0. What is r?
-4, -3, 2, 67
Factor x**2 - 7*x - 60.
(x - 12)*(x + 5)
What is i in i**2/3 + 19*i/3 + 6 = 0?
-18, -1
Factor -66125*w**3 + 4600*w**2 - 80*w.
-5*w*(115*w - 4)**2
Factor 3*u**2/7 - 33*u/7.
3*u*(u - 11)/7
Factor c**3/2 + 7*c**2 + 13*c/2.
c*(c + 1)*(c + 13)/2
Solve 3*w**5/8 - 3*w**4/2 + 3*w**3/8 + 21*w**2/4 - 15*w/2 + 3 = 0 for w.
-2, 1, 2
What is p in 3*p**5 + 12*p**4 - 9*p**3 - 66*p**2 - 12*p + 72 = 0?
-3, -2, 1, 2
Factor 4*k**2/5 - 3972*k/5 + 3968/5.
4*(k - 992)*(k - 1)/5
Factor -2*i**3/11 + 10*i**2/11 - 16*i/11 + 8/11.
-2*(i - 2)**2*(i - 1)/11
Suppose -y**4/2 - 3*y**3/2 + 17*y**2/2 + 39*y/2 + 10 = 0. Calculate y.
-5, -1, 4
Factor 3*a**3/5 - 87*a**2/5 + 672*a/5 - 588/5.
3*(a - 14)**2*(a - 1)/5
Find p, given that -p**5/4 - 5*p**4/4 + 3*p**3/2 + 8*p**2 - 8*p = 0.
-4, 0, 1, 2
Find f such that 45*f**5 - 87*f**4 - 984*f**3 + 336*f**2 = 0.
-4, 0, 1/3, 28/5
What is d in -45*d**5 + 65*d**4 + 25*d**3 - 65*d**2 + 20*d = 0?
-1, 0, 4/9, 1
Factor 3*q**2/5 + 408*q/5 - 411/5.
3*(q - 1)*(q + 137)/5
Suppose 2*h**4 + 10*h**3 - 2*h**2 - 10*h = 0. Calculate h.
-5, -1, 0, 1
Solve 4*i**5/5 + 268*i**4/5 - 276*i**3/5 - 268*i**2/5 + 272*i/5 = 0 for i.
-68, -1, 0, 1
Factor 15*h**2 - 910*h + 600.
5*(h - 60)*(3*h - 2)
What is n in -n**4/4 + 9*n**2/4 = 0?
-3, 0, 3
Let -5*c**4 - 5*c**3 + 10*c**2 = 0. What is c?
-2, 0, 1
Factor -3*l**2/4 - 9*l/2 + 81/4.
-3*(l - 3)*(l + 9)/4
Solve -g**2 + 81*g - 1260 = 0.
21, 60
Find p such that 6*p**4/7 + 58*p**3/7 + 18*p**2 - 90*p/7 - 100/7 = 0.
-5, -2/3, 1
Find l such that l**2/4 - l/2 - 12 = 0.
-6, 8
Suppose 27*l**2/2 + 12*l - 3/2 = 0. Calculate l.
-1, 1/9
Determine t, given that t**3/5 + 7*t**2/5 - 18*t/5 = 0.
-9, 0, 2
Factor -27*p**3 - 168*p**2 - 171*p - 30.
-3*(p + 1)*(p + 5)*(9*p + 2)
Factor 3*m**2/7 + 120*m/7 + 228/7.
3*(m + 2)*(m + 38)/7
Determine w so that -3*w**3 - 63*w**2 - 114*w = 0.
-19, -2, 0
Solve 3*o**3/2 - 87*o**2/2 + 741*o/2 - 1521/2 = 0.
3, 13
Suppose 4*l**4 + 24*l**3 + 44*l**2 + 24*l = 0. Calculate l.
-3, -2, -1, 0
Let -405*c**3 - 5490*c**2 - 22880*c - 27040 = 0. What is c?
-52/9, -2
Let 3*j**5 - 15*j**4 + 6*j**3 + 60*j**2 - 72*j = 0. Calculate j.
-2, 0, 2, 3
Factor -2*x**2/11 + 2*x - 36/11.
-2*(x - 9)*(x - 2)/11
Factor f**3/2 - 557*f**2/2 - 1117*f/2 - 559/2.
(f - 559)*(f + 1)**2/2
Solve -47432*l**2 - 616*l - 2 = 0 for l.
-1/154
Let -3*d**2 - 1392*d = 0. Calculate d.
-464, 0
Factor 4*c**5 + 260*c**4 + 3820*c**3 - 13060*c**2 + 13600*c - 4624.
4*(c - 1)**3*(c + 34)**2
Solve 16*j**3/3 + 142*j**2 + 254*j/3 - 52 = 0 for j.
-26, -1, 3/8
Solve -h**2/5 - 88*h/5 - 1936/5 = 0 for h.
-44
Find b such that 24*b**2 - 1276*b + 212 = 0.
1/6, 53
Factor 5*g**4 + 270*g**3 - 1220*g**2 - 3480*g.
5*g*(g - 6)*(g + 2)*(g + 58)
Factor k**2/5 + 62*k/5 + 61/5.
(k + 1)*(k + 61)/5
Suppose -14*k**5/9 - 4*k**4/3 + 14*k**3/3 + 8*k**2/9 - 8*k/3 = 0. Calculate k.
-2, -6/7, 0, 1
Factor -4*w**4/7 + 244*w**3/7 - 3840*w**2/7 + 3600*w/7.
-4*w*(w - 30)**2*(w - 1)/7
Solve -16*u**5 + 145*u**4 - 249*u**3 - 385*u**2 + 25*u = 0.
-1, 0, 1/16, 5
What is n in 10*n**4 - 678*n**3 + 12474*n**2 - 68458*n - 14196 = 0?
-1/5, 13, 42
Solve 3*a**2 + 78*a + 432 = 0.
-18, -8
Determine f, given that 45*f**5 - 80*f**4 - 65*f**3 + 80*f**2 + 20*f = 0.
-1, -2/9, 0, 1, 2
Let -3*c**3 - 108*c**2 - 1152*c - 3840 = 0. Calculate c.
-20, -8
Find d such that -d**5/3 - 10*d**4/3 - 32*d**3/3 - 26*d**2/3 + 11*d + 12 = 0.
-4, -3, -1, 1
Determine n, given that 5*n**2/2 + 41*n + 16 = 0.
-16, -2/5
What is m in -4*m**2 - 536*m - 17956 = 0?
-67
Find o, given that -o**3/2 + o**2/6 + o/3 = 0.
-2/3, 0, 1
Solve 4*p**3/7 - 16*p**2/7 - 4*p/7 + 16/7 = 0 for p.
-1, 1, 4
Find y such that -27*y**2/5 + 24*y/5 = 0.
0, 8/9
Factor x**3 - 15*x**2 + 71*x - 105.
(x - 7)*(x - 5)*(x - 3)
Factor u**5/3 - 2*u**4 + 11*u**3/3 - 2*u**2.
u**2*(u - 3)*(u - 2)*(u - 1)/3
Factor -3*y**5 - 633*y**4 - 33072*y**3 + 33708*y**2.
-3*y**2*(y - 1)*(y + 106)**2
Solve -18*l**5 - 174*l**4 + 256*l**3 - 88*l**2 = 0 for l.
-11, 0, 2/3
Factor -2*t**3 + 68*t**2 + 610*t - 1476.
-2*(t - 41)*(t - 2)*(t + 9)
Find m such that 2*m**2/5 + 6*m + 52/5 = 0.
-13, -2
Factor -3*a**5/5 + 18*a**4/5 - 27*a**3/5.
-3*a**3*(a - 3)**2/5
Solve -5*v**2/2 - 252*v + 306 = 0 for v.
-102, 6/5
Suppose -4*q**2/7 - 484*q/7 + 4128/7 = 0. Calculate q.
-129, 8
What is a in -a**2 - 125*a/2 + 63/2 = 0?
-63, 1/2
Factor 3*p**2/4 + 1437*p/4 - 360.
3*(p - 1)*(p + 480)/4
Factor 4*s**2 + 116*s + 112.
4*(s + 1)*(s + 28)
Solve 2*n**5/21 - 4*n**4/3 + 46*n**3/7 - 40*n**2/3 + 200*n/21 = 0.
0, 2, 5
Determine h so that 9*h**4 - 66*h**3 + 12*h**2 + 66*h - 21 = 0.
-1, 1/3, 1, 7
Factor -55*f**4 - 4155*f**3 - 2250*f**2.
-5*f**2*(f + 75)*(11*f + 6)
What is y in 4*y**2 + 4712*y + 1387684 = 0?
-589
Factor -2*y**3/19 + 1890*y**2/19 - 447456*y/19 + 44556