 + 24*k/5 = 0.
-6, 0
Let 2*s**2/9 + 20*s/3 + 112/9 = 0. Calculate s.
-28, -2
Factor 4*p**2 + 156*p + 1512.
4*(p + 18)*(p + 21)
Factor 4*c**2/9 - 23144*c/9 + 33477796/9.
4*(c - 2893)**2/9
Factor -5*b**5 - 15*b**4 + 20*b**2.
-5*b**2*(b - 1)*(b + 2)**2
Factor j**3 + 3*j**2 - 2184*j + 37180.
(j - 26)**2*(j + 55)
Factor -2*f**2 - 4*f + 16.
-2*(f - 2)*(f + 4)
Suppose -4*j**2/9 + 32*j/9 + 4 = 0. Calculate j.
-1, 9
Suppose 3*w**4/2 + 101*w**3/10 + 94*w**2/5 + 10*w + 8/5 = 0. What is w?
-4, -2, -2/5, -1/3
Find a, given that 5*a**5/3 + 6*a**4 - 6*a**3 - 56*a**2/3 + 23*a - 6 = 0.
-3, 2/5, 1
Factor -6*t**3 - 2*t**2/3 + 24*t + 8/3.
-2*(t - 2)*(t + 2)*(9*t + 1)/3
Suppose 2*b**3 - 156*b**2 - 320*b = 0. Calculate b.
-2, 0, 80
Suppose -2*q**4/5 - 1112*q**3/5 - 231852*q**2/5 - 21484952*q/5 - 746602082/5 = 0. Calculate q.
-139
Factor q**4 + 4*q**3 + 3*q**2 - 4*q - 4.
(q - 1)*(q + 1)*(q + 2)**2
Factor -50*n**5 + 4220*n**4 - 119282*n**3 + 1144808*n**2 - 443744*n + 43904.
-2*(n - 28)**3*(5*n - 1)**2
Determine u so that -3*u**2 + 897*u = 0.
0, 299
Let -4*l**5 + 124*l**4 - 652*l**3 + 1348*l**2 - 1216*l + 400 = 0. What is l?
1, 2, 25
Factor 31250*z**3/13 + 3750*z**2/13 + 150*z/13 + 2/13.
2*(25*z + 1)**3/13
Factor 2*v**2 - 1908*v + 455058.
2*(v - 477)**2
Factor -4*a**2 - 1664*a - 1660.
-4*(a + 1)*(a + 415)
Factor 2*f**3 - 20*f**2 + 56*f - 48.
2*(f - 6)*(f - 2)**2
Solve -34*f**4 + 135*f**3 - 132*f**2 - 4*f = 0.
-1/34, 0, 2
What is x in -4*x**2 + 40*x - 100 = 0?
5
Factor -12*k**2/11 - 14*k/11 - 2/11.
-2*(k + 1)*(6*k + 1)/11
Let -f**4/4 + 9*f**3/4 - 6*f**2 + 5*f = 0. Calculate f.
0, 2, 5
Solve -l**3 - 3*l**2 + 4 = 0 for l.
-2, 1
Determine f so that -454276*f**2 + 2696*f - 4 = 0.
1/337
Factor 10*n**4/7 - 32*n**3/7 + 34*n**2/7 - 12*n/7.
2*n*(n - 1)**2*(5*n - 6)/7
Factor -6*h**4 - 16*h**3 - 8*h**2.
-2*h**2*(h + 2)*(3*h + 2)
Find d such that 4*d**5 - 37*d**4 + 5*d**3 + 37*d**2 - 9*d = 0.
-1, 0, 1/4, 1, 9
Factor f**2/3 - 160*f/3 + 53.
(f - 159)*(f - 1)/3
Factor -2*w**3 - 92*w**2 - 498*w - 720.
-2*(w + 3)**2*(w + 40)
Factor 5*w**5 - 40*w**4 + 60*w**3 + 10*w**2 - 65*w + 30.
5*(w - 6)*(w - 1)**3*(w + 1)
Suppose 2*b**5/9 + 14*b**4/9 + 38*b**3/9 + 50*b**2/9 + 32*b/9 + 8/9 = 0. What is b?
-2, -1
Factor 2*r**3 - 38*r**2 - 90*r + 126.
2*(r - 21)*(r - 1)*(r + 3)
What is q in -12*q**5 + 8*q**4 = 0?
0, 2/3
Determine v, given that 5*v**3 + 213*v**2 + 324*v - 164 = 0.
-41, -2, 2/5
Factor 12*x**3 - 80*x**2 - 28*x.
4*x*(x - 7)*(3*x + 1)
Factor c**5 + 62*c**4/7 + 201*c**3/7 + 278*c**2/7 + 124*c/7 - 24/7.
(c + 2)**3*(c + 3)*(7*c - 1)/7
Factor -c**2 - 76*c - 1444.
-(c + 38)**2
Factor 2*q**5/7 + 6*q**4/7 - 44*q**3/7 + 76*q**2/7 - 54*q/7 + 2.
2*(q - 1)**4*(q + 7)/7
Factor -4*i**3 - 180*i**2 + 4*i + 180.
-4*(i - 1)*(i + 1)*(i + 45)
Factor -p**3/3 - 43*p**2/3 - 40*p.
-p*(p + 3)*(p + 40)/3
Factor 4*q**3 - 72*q**2 - 84*q + 152.
4*(q - 19)*(q - 1)*(q + 2)
Factor 2*v**2/3 + 112*v/3 + 200.
2*(v + 6)*(v + 50)/3
Determine i, given that 2*i**5 - 234*i**4 + 8388*i**3 - 90980*i**2 + 337722*i - 254898 = 0.
1, 7, 51
Factor -3*x**5 + 3*x**4.
-3*x**4*(x - 1)
Solve -354*z**2/5 + 46*z + 4/5 = 0.
-1/59, 2/3
Factor 5*c**3 - 50*c**2.
5*c**2*(c - 10)
Find q, given that -121*q**2/4 + 11*q - 1 = 0.
2/11
Find l such that 6*l**3/13 - 242*l**2/13 + 80*l/13 = 0.
0, 1/3, 40
Factor 2*d**3/15 + 446*d**2/3 - 4468*d/15.
2*d*(d - 2)*(d + 1117)/15
Factor n**4 + 94*n**3 + 2208*n**2 - 94*n - 2209.
(n - 1)*(n + 1)*(n + 47)**2
Factor -75*l**3/2 - 615*l**2/2 - 657*l/2 - 189/2.
-3*(l + 7)*(5*l + 3)**2/2
Let -l**4/6 + 7*l**3/3 - 20*l**2/3 = 0. Calculate l.
0, 4, 10
Factor -2*i**3 - 210*i**2 + 426*i - 214.
-2*(i - 1)**2*(i + 107)
Solve x**2/3 - 2*x/3 - 8 = 0.
-4, 6
Solve -u**2/4 - 113*u/4 + 549/2 = 0 for u.
-122, 9
Find k such that -2*k**5/15 + 4*k**4/5 + 4*k**3/15 - 8*k**2/5 - 2*k/15 + 4/5 = 0.
-1, 1, 6
Determine z so that 2*z**5/11 - 4*z**4/11 - 12*z**3/11 + 40*z**2/11 - 38*z/11 + 12/11 = 0.
-3, 1, 2
Factor -3*d**2/2 - 87*d/2 + 45.
-3*(d - 1)*(d + 30)/2
Determine j so that -j**3 - 10*j**2 - 17*j - 8 = 0.
-8, -1
Factor -2*f**5 - 8*f**4 + 36*f**3 - 40*f**2 + 14*f.
-2*f*(f - 1)**3*(f + 7)
Factor g**2/8 - g/2 - 3/2.
(g - 6)*(g + 2)/8
Determine v so that -v**2/7 - 429*v/7 = 0.
-429, 0
Suppose 8*j**3/9 - 9970*j**2/9 + 2492*j/9 = 0. What is j?
0, 1/4, 1246
Factor 231125*l**2/6 + 2150*l/3 + 10/3.
5*(215*l + 2)**2/6
Factor -5*k**2 - 60*k + 425.
-5*(k - 5)*(k + 17)
Suppose -2*n**3/23 - 8*n**2/23 + 22*n/23 + 60/23 = 0. What is n?
-5, -2, 3
What is d in 11*d**2 + 196*d - 36 = 0?
-18, 2/11
Factor 1352*r**2 + 312*r + 18.
2*(26*r + 3)**2
Factor d**3/2 + 4*d**2 - 259*d/2 + 539.
(d - 7)**2*(d + 22)/2
Solve 3*g**2 + 2244*g + 419628 = 0 for g.
-374
Factor 2*i**2 + 1254*i - 3780.
2*(i - 3)*(i + 630)
Factor 2*x**2 - 36*x - 80.
2*(x - 20)*(x + 2)
Factor -5*r**2 + 40*r + 1365.
-5*(r - 21)*(r + 13)
Suppose -2*i**2 + 216*i - 832 = 0. Calculate i.
4, 104
Factor -s**2/5 - 13*s/5 + 46.
-(s - 10)*(s + 23)/5
Factor 5*m**4 + 45*m**3 - 150*m**2 - 440*m.
5*m*(m - 4)*(m + 2)*(m + 11)
Let -3*l**2/5 - 108*l/5 - 297/5 = 0. What is l?
-33, -3
Let 2*v**5/3 + 26*v**4/3 + 100*v**3/3 + 64*v**2/3 - 64*v = 0. What is v?
-6, -4, 0, 1
Factor -h**3/10 - 19*h**2/2 - 495*h/2 - 2025/2.
-(h + 5)*(h + 45)**2/10
Factor -5*y**4 - 60*y**3 - 145*y**2 - 90*y.
-5*y*(y + 1)*(y + 2)*(y + 9)
Factor u**2/4 + 157*u/4 - 159/2.
(u - 2)*(u + 159)/4
Factor s**3/5 + 2*s**2/5 - 3*s/5.
s*(s - 1)*(s + 3)/5
Suppose 4*y**4 + 256*y**3 - 820*y**2 - 1072*y = 0. What is y?
-67, -1, 0, 4
Factor 5*q**3 + 1540*q**2 - 3095*q + 1550.
5*(q - 1)**2*(q + 310)
Determine u, given that 3*u**2 + 186*u + 360 = 0.
-60, -2
Factor a**3/3 + a**2 - 88*a/3.
a*(a - 8)*(a + 11)/3
Factor y**2/2 - 5*y - 28.
(y - 14)*(y + 4)/2
Suppose -m**5/5 - 6*m**4 - 188*m**3/5 + 632*m**2/5 + 768*m/5 - 2048/5 = 0. What is m?
-16, -2, 2
Factor -3*u**2 + 3264*u - 887808.
-3*(u - 544)**2
Factor 12*y**3 + 244*y**2 - 720*y + 368.
4*(y - 2)*(y + 23)*(3*y - 2)
Determine m, given that -m**4/3 + 58*m**3/3 - 1261*m**2/3 + 4060*m - 14700 = 0.
14, 15
Solve -3*k**2 + 2238*k - 417387 = 0.
373
Find g such that -21*g**4/5 + 87*g**3/5 - 72*g**2/5 - 84*g/5 + 96/5 = 0.
-1, 8/7, 2
Factor -5*l**2 + 5*l + 30.
-5*(l - 3)*(l + 2)
Factor -2*u**2 - 72*u - 448.
-2*(u + 8)*(u + 28)
Let 5*s**3 - 480*s**2 + 11985*s - 22090 = 0. Calculate s.
2, 47
Let -5*f**5 + 1490*f**4 - 169920*f**3 + 9020160*f**2 - 209018880*f + 1343692800 = 0. What is f?
10, 72
Find a such that -5*a**4 - 45*a**3 + 390*a**2 + 320*a - 3360 = 0.
-14, -3, 4
Let i**2/9 - 7*i/9 - 44/9 = 0. Calculate i.
-4, 11
Solve -3*v**3 - 42*v**2 = 0.
-14, 0
Solve 4*o**4 - 76*o**3 - 80*o**2 = 0.
-1, 0, 20
Factor -6*u**3 - 69*u**2 + 36*u.
-3*u*(u + 12)*(2*u - 1)
Factor -5*d**2 + 65*d + 1500.
-5*(d - 25)*(d + 12)
Factor 3*s**3 - 9*s**2 - 54*s + 120.
3*(s - 5)*(s - 2)*(s + 4)
Let g**3/4 - 15*g**2/4 - 21*g/2 + 34 = 0. Calculate g.
-4, 2, 17
Factor 5*w**4 + 880*w**3 + 43640*w**2 + 432960*w + 1210320.
5*(w + 6)**2*(w + 82)**2
What is b in 4*b**5 + 4*b**4 - 20*b**3 + 12*b**2 = 0?
-3, 0, 1
Solve -10*j**3 - 6*j**2 + 90*j + 54 = 0 for j.
-3, -3/5, 3
Factor 2*r**3 + 4*r**2 + 2*r.
2*r*(r + 1)**2
Solve -l**4/3 + 7*l**3/3 + 13*l**2 + 53*l/3 + 22/3 = 0.
-2, -1, 11
Find s such that 2*s**3/19 + 6*s**2/19 - 8*s/19 = 0.
-4, 0, 1
Suppose 2*g**2/11 - 290*g/11 + 852/11 = 0. Calculate g.
3, 142
Find u, given that -3*u**3/8 - 177*u**2/4 + 3*u/2 + 177 = 0.
-118, -2, 2
Factor 2*n**5/3 - 22*n**4/3 - 4*n**3 + 216*n**2 - 144*n - 1728.
2*(n - 6)**3*(n + 3)*(n + 4)/3
Factor 36*t**4 + 8*t**3 - 36*t**2 - 8*t.
4*t*(t - 1)*(t + 1)*(9*t + 2)
Solve -98*x**4/3 - 252*x**3 + 704*x**2 - 1280*x/3 = 0 for x.
-10, 0, 8/7
Factor c**3 - 81*c**2 + 1680*c - 1600.
(c - 40)**2*(c - 1)
Let -16*k**3 - 372*k**2 + 2148*k + 560 = 0. What is k?
-28, -1/4, 5
Factor 25*q**2 + 655*q + 130.
5*(q + 26)*(5*q + 1)
Suppose -4*f**3/9 - 52*f**2/9 + 56*f + 288 = 0. What is f?
-18, -4, 9
Factor -4*x**2/5 + 28*x/5.
-4*x*(x - 7)/5
Determine i so that 20*i**5 - 105*i**4 + 130*i**3 + 40*i**2 - 150*i + 65 = 0.
-1, 1, 13/4
Let 2*w**3 + 18*w**2 + 48*w + 40 = 0. What is w?
-5, -2
Determine m so that 5*m**5 + 20*m**4 + 20*m**3 - 10*m**2 - 25*m - 10 = 0.
-2, -1, 1
What is v in -10*v**4/13 + 14*v**3/13 - 4*v**2/13 = 0?
0, 2/5, 1
Factor -4*v**4 + 4*v**3 + 12*v**2 - 20*v + 8.
-4*(v - 1)**3*(v + 2)
What 