w*(w + 2)*(w + 4)/11
Suppose -3*v**4/7 + 15*v**3/7 - 12*v**2/7 = 0. Calculate v.
0, 1, 4
Factor -4*v**2/5 - 4*v + 264/5.
-4*(v - 6)*(v + 11)/5
Factor -4*k**4 - 764*k**3 - 4488*k**2 - 8912*k - 5920.
-4*(k + 2)**3*(k + 185)
Suppose -4*l**3 - 53*l**2 - 61*l - 12 = 0. What is l?
-12, -1, -1/4
Determine v, given that 4*v**2 + 248*v + 2820 = 0.
-47, -15
Factor -9*u**4/4 - 247*u**3 - 27005*u**2/4 + 3025*u/2.
-u*(u + 55)**2*(9*u - 2)/4
Factor -c**2/2 - 351*c/4.
-c*(2*c + 351)/4
Factor 3*f**3 - 63*f**2 - 135*f - 69.
3*(f - 23)*(f + 1)**2
Determine k, given that -k**4/8 + k**3/8 + 3*k**2/8 - k/8 - 1/4 = 0.
-1, 1, 2
Determine l so that l**5/2 - 3*l**4 + 2*l**3 + 3*l**2 - 5*l/2 = 0.
-1, 0, 1, 5
Factor -5*k**4/4 - 6905*k**3/4 - 20685*k**2/4 - 20675*k/4 - 3445/2.
-5*(k + 1)**3*(k + 1378)/4
Find r, given that -3*r**3/2 - 57*r**2/2 + 3*r/2 + 57/2 = 0.
-19, -1, 1
Factor 3*y**3 + 261*y**2 + 252*y - 516.
3*(y - 1)*(y + 2)*(y + 86)
Factor -3*b**5/5 - 21*b**4/5 - 54*b**3/5 - 12*b**2 - 24*b/5.
-3*b*(b + 1)*(b + 2)**3/5
What is r in -4*r**2 + 1484*r - 5872 = 0?
4, 367
Factor g**2/3 - 82*g/3 + 520.
(g - 52)*(g - 30)/3
Factor -3*x**4 + 63*x**3 - 60*x**2.
-3*x**2*(x - 20)*(x - 1)
Determine j, given that -j**3 - 54*j**2 = 0.
-54, 0
Find r, given that -2*r**2/13 + 266*r/13 = 0.
0, 133
Determine x so that 28020098*x**2/9 - 14972*x/9 + 2/9 = 0.
1/3743
Let -2*w**2 + 50*w - 92 = 0. What is w?
2, 23
Suppose -5*d**5 + 5*d**4 + 10*d**3 - 10*d**2 - 5*d + 5 = 0. Calculate d.
-1, 1
Factor 4*i**2 + 28*i.
4*i*(i + 7)
Let -2*h**3/3 + 12*h**2 + 86*h/3 - 40 = 0. Calculate h.
-3, 1, 20
Factor 9*h**2/5 + 338*h - 376/5.
(h + 188)*(9*h - 2)/5
Factor 2*s**5/5 + 6*s**4 + 54*s**3/5 + 26*s**2/5.
2*s**2*(s + 1)**2*(s + 13)/5
Determine c so that 14*c**3 - 10*c**2 - 88*c - 24 = 0.
-2, -2/7, 3
Determine p, given that -p**4/2 + 7*p**3 - 57*p**2/2 + 18*p + 54 = 0.
-1, 3, 6
Factor -k**3/3 + 16*k/3.
-k*(k - 4)*(k + 4)/3
Factor m**3/3 + 6353*m**2/3 + 10093328*m/3 + 10086976/3.
(m + 1)*(m + 3176)**2/3
Factor -2*o**4/5 + 212*o**3/5 - 6018*o**2/5 + 20808*o/5.
-2*o*(o - 51)**2*(o - 4)/5
What is f in -80*f**2 - 680*f - 1445 = 0?
-17/4
Factor -5*v**2 + 125*v - 230.
-5*(v - 23)*(v - 2)
Factor -4*u**4 + 88*u**3 - 544*u**2 + 768*u.
-4*u*(u - 12)*(u - 8)*(u - 2)
Factor 4*p**2 - 12*p - 40.
4*(p - 5)*(p + 2)
What is j in 4*j**2 - 864*j = 0?
0, 216
What is l in -20*l**4 - 48*l**3 + 164*l**2 + 432*l + 144 = 0?
-3, -2, -2/5, 3
Factor -a**2/9 + 49*a.
-a*(a - 441)/9
Determine m, given that 3*m**4/5 + 69*m**3 - 3*m**2/5 - 69*m = 0.
-115, -1, 0, 1
Determine l so that -2*l**2/5 - 32*l/5 + 32 = 0.
-20, 4
Find s, given that 32*s**3 - 33*s**2 + s = 0.
0, 1/32, 1
Find l such that 42*l**5/5 + 418*l**4/5 - 136*l**3/5 - 1248*l**2/5 - 896*l/5 - 32 = 0.
-10, -1, -2/3, -2/7, 2
Solve -2*o**3/3 - 14*o**2/3 - 20*o/3 = 0 for o.
-5, -2, 0
What is o in o**2/2 + 139*o + 19321/2 = 0?
-139
Factor 2*c**5/3 + 8*c**4/3 - 8*c**3.
2*c**3*(c - 2)*(c + 6)/3
Let 20*m**2 - 28488*m + 11392 = 0. What is m?
2/5, 1424
Suppose i**2/4 + 3*i + 9 = 0. Calculate i.
-6
Find b, given that -b**2/2 + 5*b = 0.
0, 10
Let -l**3/5 - 16*l**2 + 511*l/5 - 86 = 0. Calculate l.
-86, 1, 5
Determine a so that 9*a**4/4 - 25*a**3/4 - 15*a**2/4 + 25*a/4 + 3/2 = 0.
-1, -2/9, 1, 3
Solve -5*i**4/2 + 85*i**3/2 + 55*i**2 - 170*i - 180 = 0.
-2, -1, 2, 18
Find z, given that -49*z**3/6 - 9338*z**2 + 5338*z - 2288/3 = 0.
-1144, 2/7
Factor f**5/5 - 4*f**4/5 - 3*f**3/5 + 2*f**2 + 8*f/5.
f*(f - 4)*(f - 2)*(f + 1)**2/5
Factor -2*v**3 - 2*v**2 + 18*v + 18.
-2*(v - 3)*(v + 1)*(v + 3)
What is k in 4*k**5 - 16*k**4 - 24*k**3 + 144*k**2 - 108*k = 0?
-3, 0, 1, 3
Factor -l**2/4 + 177*l/4 + 549/2.
-(l - 183)*(l + 6)/4
Factor -q**3 - 4*q**2 + 5*q.
-q*(q - 1)*(q + 5)
Determine a so that 5*a**5/4 - 5*a**4/4 - 5*a**3/4 + 5*a**2/4 = 0.
-1, 0, 1
Factor 2*v**2/9 + 230*v/9 - 232/9.
2*(v - 1)*(v + 116)/9
Factor -4*d**2 + 16*d + 20.
-4*(d - 5)*(d + 1)
Find t such that 2*t**4 + 42*t**3 + 240*t**2 + 200*t = 0.
-10, -1, 0
Factor -z**4/5 - 29*z**3/5 - 287*z**2/5 - 1111*z/5 - 1452/5.
-(z + 3)*(z + 4)*(z + 11)**2/5
Find l, given that -4*l**3 - 4*l**2 + 2580*l + 26100 = 0.
-15, 29
Determine j so that -2*j**5 - 2*j**4 + 10*j**3 + 10*j**2 - 8*j - 8 = 0.
-2, -1, 1, 2
Factor -h**2/4 - 21*h/4.
-h*(h + 21)/4
Solve -u**2 + 59*u + 186 = 0.
-3, 62
Factor 5*v**2 - 140*v - 145.
5*(v - 29)*(v + 1)
Factor -3*l**2 - 15*l + 18.
-3*(l - 1)*(l + 6)
Factor t**2/2 - 27*t/2 - 29.
(t - 29)*(t + 2)/2
Solve -8*h**5/9 - 418*h**4/9 - 512*h**3/9 - 34*h**2/3 = 0.
-51, -1, -1/4, 0
Suppose 2*w**3/7 - 4*w**2 + 26*w/7 = 0. Calculate w.
0, 1, 13
Let -5*p**4/6 - 170*p**3/3 - 6415*p**2/6 - 10720*p/3 - 2560 = 0. Calculate p.
-32, -3, -1
Suppose -s**3 - 145*s**2 = 0. What is s?
-145, 0
Suppose -3*c**5 + 30*c**4 - 66*c**3 - 72*c**2 + 189*c + 162 = 0. Calculate c.
-1, 3, 6
Determine q so that 3*q**4 - 1314*q**3 + 141231*q**2 + 580788*q + 586092 = 0.
-2, 221
Determine g so that -g**3/4 - 9*g**2/4 + 5*g/2 = 0.
-10, 0, 1
Factor -h**2 + 2017*h.
-h*(h - 2017)
Factor -3*g**2/2 + 465*g/2.
-3*g*(g - 155)/2
Find h such that 2*h**4/3 - 44*h**3/3 + 194*h**2/3 + 176*h + 96 = 0.
-1, 12
Solve 2*u**2 + 38*u + 96 = 0.
-16, -3
Determine f, given that -f**2/3 - 2168*f/3 - 1175056/3 = 0.
-1084
Factor g**5/3 + 16*g**4 - 144*g**3 + 896*g**2/3.
g**2*(g - 4)**2*(g + 56)/3
Determine v so that -6*v**5/11 + 24*v**4/11 - 60*v**2/11 + 6*v/11 + 36/11 = 0.
-1, 1, 2, 3
Determine p so that -1875*p**3/4 - 675*p**2 + 1953*p/4 - 147/2 = 0.
-2, 7/25
Solve h**2/2 - 2*h = 0 for h.
0, 4
Factor 4*r**4 + 212*r**3 + 3652*r**2 + 21084*r + 17640.
4*(r + 1)*(r + 10)*(r + 21)**2
Factor -2*q**2 - 178*q + 1764.
-2*(q - 9)*(q + 98)
Factor 2*a**2 - 21736*a + 59056712.
2*(a - 5434)**2
Find r such that r**4/6 + 149*r**3/6 + 1825*r**2/2 - 1875*r/2 = 0.
-75, 0, 1
Suppose g**5/2 + 7*g**4/2 - 29*g**3/2 + 13*g**2/2 + 14*g - 10 = 0. What is g?
-10, -1, 1, 2
Let -15*f**5 + 100*f**4 + 305*f**3 - 1550*f**2 - 3540*f - 1800 = 0. What is f?
-10/3, -1, 6
Solve -4*j**4/3 - 76*j**3/3 + 160*j**2/3 + 1600*j/3 = 0 for j.
-20, -4, 0, 5
Let 246*n**4/5 - 1072*n**3/5 + 38*n**2 + 652*n/5 - 16/5 = 0. What is n?
-2/3, 1/41, 1, 4
Factor -o**2 + 2*o + 8.
-(o - 4)*(o + 2)
Find n such that -16*n**4/3 + 1484*n**3 + 2616*n**2 - 2240*n/3 = 0.
-2, 0, 1/4, 280
Factor -285*g**3 + 2845*g**2 - 7075*g - 125.
-5*(g - 5)**2*(57*g + 1)
What is a in 2*a**3 - 38*a**2 + 68*a = 0?
0, 2, 17
Determine i so that 3*i**4/2 + 37*i**3/2 + 43*i**2/2 - 13*i/2 - 11 = 0.
-11, -1, 2/3
Let 3*g**5 + 54*g**4 - 333*g**3 + 276*g**2 = 0. What is g?
-23, 0, 1, 4
What is t in -9*t**2/5 + 443*t/5 - 98/5 = 0?
2/9, 49
Factor a**5/2 - 2*a**4 - a**3/2 + 2*a**2.
a**2*(a - 4)*(a - 1)*(a + 1)/2
Find q such that -2*q**2 + 120*q + 1562 = 0.
-11, 71
Factor -2*z**2 - 936*z - 109512.
-2*(z + 234)**2
Determine t so that -t**4/3 + 11*t**3/3 - 11*t**2 + 5*t/3 + 50/3 = 0.
-1, 2, 5
Factor i**2/2 - 71*i/2.
i*(i - 71)/2
Find p such that p**4/2 + 17*p**3/2 + 105*p**2/2 + 275*p/2 + 125 = 0.
-5, -2
What is n in -4*n**2 + 4388*n/3 - 2920/3 = 0?
2/3, 365
Factor 16*s**4 + 68*s**3 + 64*s**2 + 12*s.
4*s*(s + 1)*(s + 3)*(4*s + 1)
Factor q**5/7 + 5*q**4/7 - 2*q**3.
q**3*(q - 2)*(q + 7)/7
Solve 2*l**2/7 + 2938*l/7 + 2936/7 = 0.
-1468, -1
Factor 2*g**2/9 - 4400*g/9 + 2420000/9.
2*(g - 1100)**2/9
Factor 2*i**3/17 + 64*i**2/17.
2*i**2*(i + 32)/17
Suppose b**2/3 - 59*b + 1670/3 = 0. What is b?
10, 167
Find l, given that -35*l**2 - 4560*l - 1300 = 0.
-130, -2/7
Solve -44*v**5 - 4*v**4 + 88*v**3 + 8*v**2 - 44*v - 4 = 0 for v.
-1, -1/11, 1
Find b such that -3*b**4/4 - 5*b**3 - 39*b**2/4 - 15*b/2 - 2 = 0.
-4, -1, -2/3
Factor -2*o**3/15 + 28*o**2/5 + 86*o/15.
-2*o*(o - 43)*(o + 1)/15
Let n**3/7 - n**2 - 8*n/7 = 0. What is n?
-1, 0, 8
Factor 34*j**5 + 64*j**4 - 8*j**3.
2*j**3*(j + 2)*(17*j - 2)
Find z such that z**5 - 10*z**4 + 36*z**3 - 54*z**2 + 27*z = 0.
0, 1, 3
Let -2*l**5/3 - 22*l**4/3 - 74*l**3/3 - 30*l**2 - 12*l = 0. What is l?
-6, -3, -1, 0
Factor -3*c**3 + 63*c**2 - 216*c + 204.
-3*(c - 17)*(c - 2)**2
Factor 5*b**5 - 5*b**4 - 105*b**3 + 205*b**2 - 100*b.
5*b*(b - 4)*(b - 1)**2*(b + 5)
Factor 4*b**2 - 112*b - 116.
4*(b - 29)*(b + 1)
Factor 2*u**4/3 + 16*u**3/3 + 26*u**2/3 + 4*u.
2*u*(u + 1)**2*(u + 6)/3
Factor 3*n**2 + 990*n + 81675.
3*(n + 165)**2
Suppose -4*p**3 + 51*p**2 - 35*p - 12 = 0. C