 3*h**4/4 - 5*h**3/4 - 3*h**2/4 + h.
h*(h - 1)**2*(h + 1)*(h + 4)/4
Factor 3*h**3 + 129*h**2 + 1449*h + 1323.
3*(h + 1)*(h + 21)**2
Let -28*r**4 + 640*r**3 - 4388*r**2 + 7760*r + 1200 = 0. What is r?
-1/7, 3, 10
Factor -d**2 + 959*d + 960.
-(d - 960)*(d + 1)
Find x, given that -4*x**4 + 272*x**3 - 4884*x**2 + 8712*x = 0.
0, 2, 33
Find r, given that r**5 - 37*r**4/3 + 14*r**3 + 26*r**2/3 - 15*r + 11/3 = 0.
-1, 1/3, 1, 11
Solve -3*x**4 + 216*x**3 + 441*x**2 + 222*x = 0 for x.
-1, 0, 74
Factor -d**2 + 353*d.
-d*(d - 353)
Factor u**3/4 + 131*u**2/4.
u**2*(u + 131)/4
Factor -2*b**2 + 88*b - 726.
-2*(b - 33)*(b - 11)
Solve 4*w**4/19 - 10*w**3/19 - 6*w**2/19 + 16*w/19 + 8/19 = 0.
-1, -1/2, 2
Determine r, given that -42*r**4 - 93*r**3 - 60*r**2 - 9*r = 0.
-1, -3/14, 0
Find v such that -25*v**5 - 2310*v**4 + 11005*v**3 - 14530*v**2 + 1980*v + 3880 = 0.
-97, -2/5, 1, 2
Factor -12*g**3/25 - 14*g**2/25 - 2*g/25.
-2*g*(g + 1)*(6*g + 1)/25
Let d**3/4 - d**2/2 = 0. What is d?
0, 2
Factor t**3/5 - 6*t**2/5 - 3*t + 20.
(t - 5)**2*(t + 4)/5
Solve -g**3/7 + 96*g**2/7 - 2304*g/7 = 0.
0, 48
Determine s, given that 2*s**4/9 + 2*s**3 = 0.
-9, 0
Factor 2*i**5 - 36*i**3 + 162*i.
2*i*(i - 3)**2*(i + 3)**2
Let r**2/2 + 8*r + 14 = 0. Calculate r.
-14, -2
Find z such that 3*z**5 + 3*z**4/2 - 18*z**3 - 21*z**2/2 + 24*z + 18 = 0.
-2, -1, 3/2, 2
Factor n**2/2 + 1194*n + 712818.
(n + 1194)**2/2
Find i, given that -i**2/7 - 2012*i/7 - 1012036/7 = 0.
-1006
Factor -7*i**4/8 + i**3 + 13*i**2/8 - i/4.
-i*(i - 2)*(i + 1)*(7*i - 1)/8
Determine a, given that 21*a**4/2 + 24*a**3 - 135*a**2/2 + 21*a + 12 = 0.
-4, -2/7, 1
Find l, given that -2*l**5/19 + 18*l**4/19 + 26*l**3/19 - 50*l**2/19 - 96*l/19 - 40/19 = 0.
-1, 2, 10
Factor a**2/8 - 1451*a/2 + 2105401/2.
(a - 2902)**2/8
Factor b**2 + 70*b + 69.
(b + 1)*(b + 69)
Suppose -2*u**4/3 + 38*u**3 + 356*u**2/3 + 80*u = 0. What is u?
-2, -1, 0, 60
Determine q so that -3*q**5 + 30*q**4 - 93*q**3 + 90*q**2 = 0.
0, 2, 3, 5
Factor 44*f**3 - 36*f**2 - 96*f - 16.
4*(f - 2)*(f + 1)*(11*f + 2)
Solve -s**4 - 30*s**3 - 224*s**2 + 30*s + 225 = 0 for s.
-15, -1, 1
Let -5*b**3 - 660*b**2 = 0. What is b?
-132, 0
Let -18*h**5/7 - 246*h**4/7 + 394*h**3/7 + 494*h**2/7 - 248*h/7 - 120/7 = 0. Calculate h.
-15, -1, -1/3, 2/3, 2
Factor -3*r**5 + 3*r**4 + 15*r**3 + 9*r**2.
-3*r**2*(r - 3)*(r + 1)**2
Factor -4*f**3/3 + 7924*f**2/3 - 3920396*f/3 - 3928324/3.
-4*(f - 991)**2*(f + 1)/3
Let -4*i**5 + 16*i**4 + 12*i**3 - 40*i**2 - 32*i = 0. What is i?
-1, 0, 2, 4
Determine b, given that -3*b**2 + 420*b - 14700 = 0.
70
Factor -4*t**2 - 232*t - 3364.
-4*(t + 29)**2
Determine r, given that -27*r**4 - 1638*r**3 - 2676*r**2 - 1242*r - 177 = 0.
-59, -1, -1/3
Factor -3*w**2/2 - 39*w/2 - 18.
-3*(w + 1)*(w + 12)/2
Factor 2*u**3/13 + 6*u**2 + 288*u/13 - 10368/13.
2*(u - 9)*(u + 24)**2/13
Determine r, given that -2*r**5 - 26*r**4 - 94*r**3 - 46*r**2 + 96*r + 72 = 0.
-6, -1, 1
Let -2*d**4/15 + 50*d**3/3 + 506*d**2/15 + 254*d/15 = 0. Calculate d.
-1, 0, 127
Let -t**2/5 + 85*t + 1716/5 = 0. What is t?
-4, 429
Factor 2*d**3 + 16*d**2 + 22*d - 40.
2*(d - 1)*(d + 4)*(d + 5)
Factor -3*y**3/4 + 63*y**2/4 - 90*y + 75.
-3*(y - 10)**2*(y - 1)/4
Solve 2*s**5/19 + 36*s**4/19 - 170*s**3/19 + 140*s**2/19 + 168*s/19 - 176/19 = 0.
-22, -1, 1, 2
Factor k**4/6 + 2*k**3/3 - k**2/2 - 7*k/3 - 4/3.
(k - 2)*(k + 1)**2*(k + 4)/6
Factor h**4/2 + 3*h**3/2 + h**2/2 - 3*h/2 - 1.
(h - 1)*(h + 1)**2*(h + 2)/2
What is y in -4*y**2/3 - 158*y/9 + 140/9 = 0?
-14, 5/6
Factor -k**2/2 + 28*k - 343/2.
-(k - 49)*(k - 7)/2
Solve 2*a**3 - 76*a**2 + 146*a - 72 = 0.
1, 36
Let -a**5 + 241*a**4 + 975*a**3 + 1223*a**2 + 490*a = 0. What is a?
-2, -1, 0, 245
Factor -48*i**4 - 948*i**3 - 693*i**2 - 687*i/4 - 57/4.
-3*(i + 19)*(4*i + 1)**3/4
Suppose -3*v**5 + 133*v**4 + 1503*v**3 + 3351*v**2 + 2740*v + 756 = 0. What is v?
-7, -1, -2/3, 54
Let 10*q**4/7 - 54*q**3/7 - 120*q**2 + 3944*q/7 - 1440/7 = 0. What is q?
-9, 2/5, 4, 10
What is x in -x**4/6 - 5*x**3/6 + 2*x**2/3 + 22*x/3 + 8 = 0?
-4, -2, 3
Find x such that 4*x**2 - 120*x + 900 = 0.
15
What is n in 4*n**2 + 5360*n + 10704 = 0?
-1338, -2
Let -d**2 + 8*d + 33 = 0. Calculate d.
-3, 11
Suppose -7*c**5 + 40*c**4 - 37*c**3 - 56*c**2 + 44*c + 16 = 0. What is c?
-1, -2/7, 1, 2, 4
Find y, given that y**5/6 + 13*y**4/6 + 21*y**3/2 + 139*y**2/6 + 68*y/3 + 8 = 0.
-4, -3, -1
Factor 2*p**2/5 + 6*p - 68/5.
2*(p - 2)*(p + 17)/5
Factor m**2 - 175*m.
m*(m - 175)
Factor -3*y**3 + 741*y**2 - 45384*y - 46128.
-3*(y - 124)**2*(y + 1)
Suppose -4*g**5 - 24*g**4 - 52*g**3 - 48*g**2 - 16*g = 0. What is g?
-2, -1, 0
Let 3*q**5/4 + 9*q**4/4 - 3*q**3/4 - 21*q**2/4 + 3 = 0. What is q?
-2, -1, 1
Factor 13*l**5 + 86*l**4 + 82*l**3 - 396*l**2 - 567*l + 270.
(l - 2)*(l + 3)**3*(13*l - 5)
What is f in -2*f**5/3 + 148*f**4/3 + 304*f**3/3 + 4*f**2/3 - 302*f/3 - 152/3 = 0?
-1, 1, 76
Find x such that -x**4/3 - 4*x**3/3 - 4*x**2/3 = 0.
-2, 0
Solve -q**2/9 + 2*q/3 - 5/9 = 0.
1, 5
Factor -h**4/3 - 7*h**3/3 + h**2 + 55*h/3 - 50/3.
-(h - 2)*(h - 1)*(h + 5)**2/3
Let p**2 - 109*p = 0. Calculate p.
0, 109
Find d such that -d**3/4 - 5*d**2/2 + d/4 + 5/2 = 0.
-10, -1, 1
Determine c, given that -10*c**5 - 396*c**4 + 1420*c**3 - 1784*c**2 + 942*c - 172 = 0.
-43, 2/5, 1
Suppose 3*x**5 - 105*x**4 + 1290*x**3 - 6270*x**2 + 9075*x - 3993 = 0. What is x?
1, 11
Factor -5*i**2 + 845*i - 840.
-5*(i - 168)*(i - 1)
Factor -c**3 + 237*c**2 - 18723*c + 493039.
-(c - 79)**3
Find r such that -2*r**4/3 - 2*r**3 + 8*r/3 = 0.
-2, 0, 1
Factor 4*v**3/3 + 124*v**2/3 - 416*v.
4*v*(v - 8)*(v + 39)/3
Let -2*r**3/3 - 82*r**2/3 - 436*r/3 - 560/3 = 0. Calculate r.
-35, -4, -2
Factor -5*v**4/2 + 7*v**3/2 - v**2.
-v**2*(v - 1)*(5*v - 2)/2
Determine l, given that -3*l**4/5 - 31*l**3/5 - 16*l**2 - 4*l/5 + 48/5 = 0.
-6, -4, -1, 2/3
Factor -w**2/7 - 8*w/7 + 33/7.
-(w - 3)*(w + 11)/7
Determine m so that 2*m**3/9 - m**2/9 - 25*m/9 - 4/3 = 0.
-3, -1/2, 4
Suppose 728*v**2 + 2913*v/4 + 1/4 = 0. What is v?
-1, -1/2912
Factor 2*m**4 + 76*m**3 + 90*m**2 - 13000*m + 25000.
2*(m - 10)*(m - 2)*(m + 25)**2
Factor -6*n**3/5 + 197*n**2/5 + 448*n/5 + 49.
-(n - 35)*(n + 1)*(6*n + 7)/5
Factor -k**2/2 - 68*k + 137/2.
-(k - 1)*(k + 137)/2
Suppose 2*r**3/5 + 22*r**2 + 1456*r/5 - 1568/5 = 0. What is r?
-28, 1
Factor -7*d**4 - 3*d**3.
-d**3*(7*d + 3)
Suppose 3*k**4 + 6*k**3 - 255*k**2 - 1050*k = 0. What is k?
-7, -5, 0, 10
Suppose 1372*z**5 + 30380*z**4 + 3472*z**3 - 18176*z**2 + 6656*z - 704 = 0. What is z?
-22, -1, 2/7
Factor -c**3/5 + 22*c**2 + 117*c/5 - 666/5.
-(c - 111)*(c - 2)*(c + 3)/5
Solve -2*q**5 + 18*q**4 - 14*q**3 - 18*q**2 + 16*q = 0.
-1, 0, 1, 8
Solve 3*x**5/4 - 21*x**4/2 + 57*x**3 - 150*x**2 + 192*x - 96 = 0 for x.
2, 4
Determine j so that -135*j**5 + 8181*j**4/2 + 2967*j**3 - 2331*j**2/2 + 93*j = 0.
-1, 0, 2/15, 1/6, 31
Determine x, given that 3*x**5 - 6*x**4 - 39*x**3 - 30*x**2 = 0.
-2, -1, 0, 5
Factor 2*z**2/7 + 110*z/7 + 156.
2*(z + 13)*(z + 42)/7
Factor -2*k**3/7 + 2*k**2 + 6*k - 54/7.
-2*(k - 9)*(k - 1)*(k + 3)/7
Suppose b**2/9 + 214*b/9 - 215/9 = 0. What is b?
-215, 1
Let 7*b**4/5 - 33*b**3/5 - 101*b**2/5 - 15*b - 14/5 = 0. Calculate b.
-1, -2/7, 7
Factor 3*r**3 + 729*r**2 + 59049*r + 1594323.
3*(r + 81)**3
Factor 3*s**2/7 - 75/7.
3*(s - 5)*(s + 5)/7
Factor -2*l**2 + 132*l + 1022.
-2*(l - 73)*(l + 7)
Factor -v**4/5 + 16*v**3/5 - 3*v**2.
-v**2*(v - 15)*(v - 1)/5
Suppose w**5/8 - w**4 + 2*w**3 - w**2/4 - 17*w/8 + 5/4 = 0. What is w?
-1, 1, 2, 5
Let 2*p**2 + 140*p + 138 = 0. What is p?
-69, -1
Determine x, given that -3*x**2 + 1554*x + 1557 = 0.
-1, 519
Factor u**3/7 + 8*u**2/7 + 15*u/7.
u*(u + 3)*(u + 5)/7
Factor a**3/2 - 29*a**2/2 + 14*a.
a*(a - 28)*(a - 1)/2
Find b, given that 4*b**2 - 100*b = 0.
0, 25
Find k, given that -3*k**4/5 + 3*k**3 + 9*k**2/5 - 27*k + 162/5 = 0.
-3, 2, 3
Factor 35*y**2 + 285*y + 280.
5*(y + 7)*(7*y + 8)
Factor -3*c**3 + 3*c**2 + 3*c - 3.
-3*(c - 1)**2*(c + 1)
Let 2*x**3/5 - 26*x**2/5 + 78*x/5 - 54/5 = 0. What is x?
1, 3, 9
Factor -5*x**4 - 760*x**3 - 28880*x**2.
-5*x**2*(x + 76)**2
Factor 4*d**4/3 + 3312*d**3 + 6180184*d**2/3 + 4110192*d + 6160324/3.
4*(d + 1)**2*(d + 1241)**2/3
Factor 5*f**5 - 40*f**4 + 100*f**3 - 80*f**2.
5*f**2*(f - 4)*(f - 2)**2
Factor f**5/4 + 53*f**4/4 + 455*f**3/4 + 1075*f**2/4.
f**2*(f + 5)**2*(f + 43)/