 that 2*r**3/13 + 12*r**2/13 + 10*r/13 = 0.
-5, -1, 0
Factor l**3/7 + 5*l**2/7 - 263*l - 1845/7.
(l - 41)*(l + 1)*(l + 45)/7
Factor 486*o**2/5 - 348*o/5 + 16/5.
2*(3*o - 2)*(81*o - 4)/5
Suppose -12*i**4/5 - 248*i**3/5 - 388*i**2/5 - 152*i/5 = 0. What is i?
-19, -1, -2/3, 0
Suppose 2*n**4 + 22*n**3 + 54*n**2 + 50*n + 16 = 0. Calculate n.
-8, -1
Solve -4*u**5/5 + 12*u**4/5 + 12*u**3/5 - 44*u**2/5 + 24*u/5 = 0.
-2, 0, 1, 3
Factor p**2 - 1250*p.
p*(p - 1250)
Factor 2*n**5/7 - 6*n**4/7 + 8*n**2/7.
2*n**2*(n - 2)**2*(n + 1)/7
Find p, given that 2*p**2/7 + 1300*p/7 + 211250/7 = 0.
-325
Let -3*f**5 + 39*f**4 + 87*f**3 + 45*f**2 = 0. What is f?
-1, 0, 15
Let 2*a**5 + 26*a**4/3 - 152*a**3/3 + 184*a**2/3 - 64*a/3 = 0. Calculate a.
-8, 0, 2/3, 1, 2
Factor -3*v**2 + 13704*v - 15649968.
-3*(v - 2284)**2
Factor -5*d**4 + 105*d**3 - 520*d**2 + 420*d.
-5*d*(d - 14)*(d - 6)*(d - 1)
Solve 4*a**2 - 132*a + 464 = 0 for a.
4, 29
Factor o**3/2 + 27*o**2/4 + 13*o/4.
o*(o + 13)*(2*o + 1)/4
Factor -2*i**5 + 4*i**3 - 2*i.
-2*i*(i - 1)**2*(i + 1)**2
Solve -2*q**4/3 + 2*q**3 + 92*q**2/3 - 32*q = 0 for q.
-6, 0, 1, 8
Factor -12*d**3 - 50*d**2 - 44*d - 6.
-2*(d + 1)*(d + 3)*(6*d + 1)
What is l in l**2/3 - 266*l/3 + 17689/3 = 0?
133
Suppose -2*a**3 + 18*a**2 - 30*a + 14 = 0. Calculate a.
1, 7
Suppose b**2/4 + 21*b/4 - 23/2 = 0. Calculate b.
-23, 2
Factor 4*t**3 - 12*t**2 - 36*t + 108.
4*(t - 3)**2*(t + 3)
Let 2*c**4 + 8*c**3 + 4*c**2 - 8*c - 6 = 0. What is c?
-3, -1, 1
Factor -s**5 - s**4 + 20*s**3.
-s**3*(s - 4)*(s + 5)
Factor l**2/2 - 3*l - 8.
(l - 8)*(l + 2)/2
Factor -4*n**2 + 156*n - 152.
-4*(n - 38)*(n - 1)
Factor 4*u**2/9 + 4*u - 16.
4*(u - 3)*(u + 12)/9
Factor 4*o**2 - 640*o + 2496.
4*(o - 156)*(o - 4)
Solve z**4 - 24*z**3 + 118*z**2 + 312*z + 169 = 0.
-1, 13
Factor -26*z**3/3 + 1244*z**2/3 - 4928*z - 768.
-2*(z - 24)**2*(13*z + 2)/3
Suppose 2*p**4/11 + 12*p**3/11 + 2*p**2 + 12*p/11 = 0. What is p?
-3, -2, -1, 0
Factor -5*h**2 - 2095*h.
-5*h*(h + 419)
Let 33*p**4 - 336*p**3 + 60*p**2 = 0. What is p?
0, 2/11, 10
What is q in -61*q**5 + 242*q**4 - 175*q**3 - 250*q**2 + 236*q + 8 = 0?
-1, -2/61, 1, 2
Factor d**2/4 + 5*d/4 - 3/2.
(d - 1)*(d + 6)/4
Suppose -900*g**4 - 921360*g**3 - 235683856*g**2 + 62898176*g - 4194304 = 0. Calculate g.
-512, 2/15
Factor -5*c**5/3 - 50*c**4/3 - 40*c**3.
-5*c**3*(c + 4)*(c + 6)/3
Factor -4*o**3 + 80*o**2 - 368*o + 448.
-4*(o - 14)*(o - 4)*(o - 2)
Find p such that 2*p**4/9 - 2*p**3 + 4*p**2 + 8*p/9 - 16/3 = 0.
-1, 2, 6
Find s such that s**4/2 - 10*s**3 - 23*s**2/2 + 21*s = 0.
-2, 0, 1, 21
Let -6*h**2/5 + 48*h/5 + 54/5 = 0. Calculate h.
-1, 9
Factor -3*f**3 + 303*f**2 - 7800*f + 7500.
-3*(f - 50)**2*(f - 1)
Find k, given that k**4/3 - k**3/3 - 7*k**2/3 + k/3 + 2 = 0.
-2, -1, 1, 3
What is q in -4*q**4 + 148*q**2 - 144 = 0?
-6, -1, 1, 6
Factor 3*v**2/5 - 33*v + 468/5.
3*(v - 52)*(v - 3)/5
Factor -2*b**2/5 - 38*b/5 - 96/5.
-2*(b + 3)*(b + 16)/5
Find t such that 102*t**4 - 2549*t**3/5 + 305*t**2 + 4593*t/5 + 9/5 = 0.
-1, -1/510, 3
Determine c so that -3*c**5 + 102*c**4 - 1326*c**3 + 8100*c**2 - 22599*c + 21870 = 0.
2, 5, 9
Suppose -k**5/2 - 3*k**4 + 15*k**3 + 10*k**2 - 69*k/2 - 27 = 0. What is k?
-9, -1, 2, 3
Factor 2*s**2 - 12*s + 10.
2*(s - 5)*(s - 1)
What is j in 3*j**2 - 48*j - 108 = 0?
-2, 18
Determine u so that -12*u**4 - 40*u**3 + 212*u**2 + 96*u - 144 = 0.
-6, -1, 2/3, 3
Factor -5*n**2 + 160*n + 925.
-5*(n - 37)*(n + 5)
Factor -l**3/3 - 83*l**2 + 167*l - 251/3.
-(l - 1)**2*(l + 251)/3
Let -210*g**2/13 + 32*g + 8/13 = 0. What is g?
-2/105, 2
Suppose 5*j**4 + 70*j**3 = 0. What is j?
-14, 0
Suppose -2*z**5 - 46*z**4 + 10*z**3 + 230*z**2 - 8*z - 184 = 0. Calculate z.
-23, -2, -1, 1, 2
Find d such that 3*d**2/4 - 843*d + 236883 = 0.
562
Factor t**2 - 1838*t - 3680.
(t - 1840)*(t + 2)
Determine x, given that 25*x**4 + 65*x**3 - 255*x**2 + 215*x - 50 = 0.
-5, 2/5, 1
Find w such that -12*w**3 - 160*w**2 - 52*w = 0.
-13, -1/3, 0
Solve -2*p**2 - 90*p + 188 = 0 for p.
-47, 2
Factor -2*m**4/11 - 1362*m**3/11.
-2*m**3*(m + 681)/11
Factor -5*o**3/6 + 65*o**2/6 - 125*o/3 + 140/3.
-5*(o - 7)*(o - 4)*(o - 2)/6
Solve 10*u**5 + 2*u**4 - 30*u**3 + 14*u**2 + 4*u = 0 for u.
-2, -1/5, 0, 1
What is s in -s**3 - 2*s**2 + 5*s + 6 = 0?
-3, -1, 2
Suppose -3*m**2 - 774*m - 49923 = 0. What is m?
-129
Determine h, given that h**2 + 3*h = 0.
-3, 0
Factor -2*u**2/7 - 44*u/7 + 46/7.
-2*(u - 1)*(u + 23)/7
Solve 3*c**2 - 1881*c - 1884 = 0.
-1, 628
Suppose -2*v**3 + 78*v**2/5 + 2*v - 78/5 = 0. What is v?
-1, 1, 39/5
Determine a so that -60*a**5 - 656*a**4 - 1408*a**3 + 2112*a**2 - 576*a = 0.
-6, 0, 2/5, 2/3
Factor 4*b**5 + 644*b**4.
4*b**4*(b + 161)
Factor -9*u**2/2 + 6375*u/4 - 531/2.
-3*(u - 354)*(6*u - 1)/4
Factor 2*m**3/19 + 8*m**2/19 + 6*m/19.
2*m*(m + 1)*(m + 3)/19
Let 55*b**4 - 20*b**3 - 425*b**2 + 390*b = 0. Calculate b.
-3, 0, 1, 26/11
Factor -y**2 - 139*y + 572.
-(y - 4)*(y + 143)
What is l in -4*l**3 - 4*l**2 + 20*l - 12 = 0?
-3, 1
Factor 11*x**4/5 - 46*x**3/5 + 41*x**2/5 - 6*x/5.
x*(x - 3)*(x - 1)*(11*x - 2)/5
Let -8*d**4/11 - 10*d**3 - 444*d**2/11 - 590*d/11 - 248/11 = 0. Calculate d.
-31/4, -4, -1
Find b such that -85*b**4 + 435*b**3 + 290*b**2 - 1740*b + 200 = 0.
-2, 2/17, 2, 5
Determine w, given that 5*w**3 + 390*w**2 + 7980*w + 14440 = 0.
-38, -2
Solve -15*n**4 - 18*n**3 - 3*n**2 = 0.
-1, -1/5, 0
Solve -16*m**3 - 684*m**2 + 184*m + 516 = 0.
-43, -3/4, 1
Suppose -3*k**2 - 177*k = 0. Calculate k.
-59, 0
Find r such that r**5/6 + 13*r**4/6 + 23*r**3/6 + 11*r**2/6 = 0.
-11, -1, 0
Find m, given that m**3/2 + 7*m**2/2 - 46*m + 42 = 0.
-14, 1, 6
Factor f**4/8 - 9*f**3/8 + 25*f**2/8 - 27*f/8 + 5/4.
(f - 5)*(f - 2)*(f - 1)**2/8
Solve 5*i**5 - 5*i**4 - 15*i**3 + 5*i**2 + 10*i = 0 for i.
-1, 0, 1, 2
Factor q**2 - 50*q - 104.
(q - 52)*(q + 2)
Determine s so that 2*s**2/9 - 86*s/9 + 28/3 = 0.
1, 42
Let -3*p**2/2 + 339*p/2 + 171 = 0. Calculate p.
-1, 114
Let -a**4/6 + 239*a**3/6 - 233*a**2/2 - 2119*a/6 - 590/3 = 0. Calculate a.
-1, 5, 236
Suppose l**2/6 + 103*l/2 = 0. What is l?
-309, 0
Find s, given that -s**3 + 43*s**2 - 391*s - 1587 = 0.
-3, 23
What is q in -4*q**2 + 104*q + 108 = 0?
-1, 27
Factor -6*x**3/5 + 8*x**2 - 54*x/5 + 4.
-2*(x - 5)*(x - 1)*(3*x - 2)/5
Let -g**4/7 - 3*g**3/7 + 11*g**2/7 + 3*g/7 - 10/7 = 0. What is g?
-5, -1, 1, 2
Factor 2*k**3/9 + 40*k**2/9 - 86*k/9 + 44/9.
2*(k - 1)**2*(k + 22)/9
Find s, given that s**4 + 3*s**3 - 11*s**2 - 3*s + 10 = 0.
-5, -1, 1, 2
Determine z, given that 2*z**2/15 + 14*z/15 = 0.
-7, 0
Factor -2*h**2/7 - 44*h/7 - 242/7.
-2*(h + 11)**2/7
Determine o, given that -5*o**5 + 100*o**4 - 390*o**3 - 1100*o**2 - 605*o = 0.
-1, 0, 11
Suppose 11*t**2 + 29*t/2 + 7/2 = 0. Calculate t.
-1, -7/22
What is l in -30*l**5/11 - 92*l**4/11 - 2*l**3/11 + 12*l**2/11 = 0?
-3, -2/5, 0, 1/3
Factor 4*x**2 - 36*x - 208.
4*(x - 13)*(x + 4)
Factor -2*n**3/9 + 662*n**2/9 + 664*n/9.
-2*n*(n - 332)*(n + 1)/9
Factor -2*s**4/3 - 10*s**3 - 124*s**2/3 - 32*s.
-2*s*(s + 1)*(s + 6)*(s + 8)/3
Factor -l**5 + 9*l**4 - 26*l**3 + 20*l**2 + 24*l - 32.
-(l - 4)*(l - 2)**3*(l + 1)
Determine x, given that 20*x**2 + 4418*x/9 + 196/9 = 0.
-49/2, -2/45
Determine l so that 2*l**2/7 - 24*l/7 - 320/7 = 0.
-8, 20
Factor u**2 - 10*u + 9.
(u - 9)*(u - 1)
Suppose 14*l**4/9 + 74*l**3/9 + 76*l**2/9 + 16*l/9 = 0. What is l?
-4, -1, -2/7, 0
Find m, given that -5*m**4 + 130*m**3 - 845*m**2 = 0.
0, 13
Let -w**5/7 + 17*w**4/7 + 198*w**3/7 - 1966*w**2/7 - 3043*w - 6069 = 0. What is w?
-7, -3, 17
Factor -y**5/3 + 37*y**4/3 - 46*y**3 + 202*y**2/3 - 133*y/3 + 11.
-(y - 33)*(y - 1)**4/3
Factor -s**3/6 - 17*s**2 - 576*s - 19456/3.
-(s + 32)**2*(s + 38)/6
Factor -b**2/3 + 8456*b/3 - 17875984/3.
-(b - 4228)**2/3
What is u in -2*u**2 + 40*u + 88 = 0?
-2, 22
Factor -j**3 - 107*j**2/3 - 296*j + 308/3.
-(j + 14)*(j + 22)*(3*j - 1)/3
Suppose 2*j**2 + 1464*j + 1462 = 0. Calculate j.
-731, -1
Find t, given that t**2 - 1548*t + 599076 = 0.
774
Determine i, given that -5*i**4 + 1310*i**3 - 3895*i**2 + 2590*i = 0.
0, 1, 2, 259
Determine z, given that -2*z**2 - 82*z/11 + 24/11 = 0.
-4, 3/11
Solve -5*g**4 - 45*g**3/2 + 5*g**2/2 + 45*g - 20 = 0 for g.
-4, -2, 1/2, 1
Find t such that t**5/2 - 5*t**3/2 + 2*t = 0.
-2, -1, 0, 1, 2
Find w, given that -10*w**2/9 + 662*w/9 - 44/3 = 0.
1/5, 66
Find j such that -