ven that -2*h**2/7 + 494*h/7 - 492/7 = 0.
1, 246
Let -n**4/8 + 2*n**3 - 19*n**2/4 - 2*n + 39/8 = 0. What is n?
-1, 1, 3, 13
Factor -3*x**3/7 - 24*x**2/7 - 39*x/7 - 18/7.
-3*(x + 1)**2*(x + 6)/7
Factor -v**3/2 - 3378*v**2 - 7607256*v - 5710513504.
-(v + 2252)**3/2
Suppose -10*r**2 - 894*r - 356 = 0. Calculate r.
-89, -2/5
Let 2*k**4/3 + 164*k**3/3 + 158*k**2/3 - 108*k = 0. What is k?
-81, -2, 0, 1
Solve -4*g**5/7 - 44*g**4/7 - 24*g**3/7 + 632*g**2/7 + 4*g - 84 = 0 for g.
-7, -1, 1, 3
Factor z**2/2 - 7*z - 16.
(z - 16)*(z + 2)/2
Factor 3*p**4 - 78*p**3 + 483*p**2 - 408*p.
3*p*(p - 17)*(p - 8)*(p - 1)
Suppose -z**3/3 - 5*z**2/3 + 12*z = 0. What is z?
-9, 0, 4
Solve -3*c**2 + 177*c = 0.
0, 59
Let 190*c**2 - 145*c = 0. What is c?
0, 29/38
Factor 4*b**3/3 - 188*b**2/3 + 364*b/3 - 60.
4*(b - 45)*(b - 1)**2/3
Let 2*h**3/5 - 52*h**2/5 = 0. What is h?
0, 26
Factor -2*h**4/3 + 8*h**3/3 - 8*h**2/3.
-2*h**2*(h - 2)**2/3
Find j such that 3*j**4/5 + 717*j**3 + 1429218*j**2/5 + 190560012*j/5 + 189134376/5 = 0.
-398, -1
Factor h**3/3 + 50*h**2/3 + 112*h.
h*(h + 8)*(h + 42)/3
Solve -h**3/4 + 5*h**2/6 - 3*h/4 + 1/6 = 0.
1/3, 1, 2
Solve 20*l**2 + 215*l + 150 = 0.
-10, -3/4
Find a, given that -a**3 + 10*a**2 - 12*a - 72 = 0.
-2, 6
Let -d**2 + 185*d + 186 = 0. Calculate d.
-1, 186
Factor 42*b**3 - 44*b**2 - 2*b + 4.
2*(b - 1)*(3*b - 1)*(7*b + 2)
Factor 80*y**3 - 7880*y**2 + 3925*y - 490.
5*(y - 98)*(4*y - 1)**2
Suppose -2*f**2/5 + 14*f/5 - 4 = 0. What is f?
2, 5
Factor 2*w**2/15 - 50*w/3 - 524/5.
2*(w - 131)*(w + 6)/15
Factor g**4/4 - 115*g**3/4 + 113*g**2/4 + 115*g/4 - 57/2.
(g - 114)*(g - 1)**2*(g + 1)/4
Factor 2*r**4/13 + 246*r**3/13 + 7686*r**2/13 + 7442*r/13.
2*r*(r + 1)*(r + 61)**2/13
Factor -b**3 + 171*b**2 + 346*b.
-b*(b - 173)*(b + 2)
Suppose 2*q**3/3 + 24*q**2 + 256*q + 2048/3 = 0. What is q?
-16, -4
Factor 90*p**3 - 196*p**2 + 24*p + 16.
2*(p - 2)*(5*p - 2)*(9*p + 2)
Find n, given that 10*n**2/3 - n = 0.
0, 3/10
Factor 2*m**4 + 76*m**3 + 714*m**2 + 2440*m + 2600.
2*(m + 2)*(m + 5)**2*(m + 26)
Factor t**3/5 - 414*t**2/5 - 1249*t/5 - 834/5.
(t - 417)*(t + 1)*(t + 2)/5
Suppose 2*t**4 - 70*t**3 + 566*t**2 - 930*t + 432 = 0. What is t?
1, 9, 24
Solve 5*k**5 - 20*k**4 + 5*k**3 + 50*k**2 - 20*k - 40 = 0.
-1, 2
Factor -65*k**3 - 765*k**2 - 1120*k + 300.
-5*(k + 2)*(k + 10)*(13*k - 3)
Factor 2*r**2/7 + 166*r/7 - 24.
2*(r - 1)*(r + 84)/7
Let -3*m**2 - 432*m = 0. Calculate m.
-144, 0
Factor h**2/2 - 998*h + 498002.
(h - 998)**2/2
Factor 5*x**4 - 25*x**3 + 30*x**2.
5*x**2*(x - 3)*(x - 2)
Solve 13*j**5 - 15*j**4 + 2*j**3 = 0 for j.
0, 2/13, 1
Find r, given that -2*r**3/9 - 4*r**2 + 128*r/3 - 832/9 = 0.
-26, 4
Suppose 21*b**3/4 + 237*b**2/4 + 285*b/2 + 36 = 0. What is b?
-8, -3, -2/7
Determine j, given that 4*j**3 + 160*j**2 + 1088*j + 2048 = 0.
-32, -4
Factor -3*b**5 - 24*b**4 + 144*b**3 + 546*b**2 + 579*b + 198.
-3*(b - 6)*(b + 1)**3*(b + 11)
Suppose 4*s**2 - 7800*s - 7804 = 0. What is s?
-1, 1951
Suppose q**4/8 - 3*q**3/2 + 37*q**2/8 - 21*q/4 + 2 = 0. What is q?
1, 2, 8
Factor 3*o**2 - 57*o + 270.
3*(o - 10)*(o - 9)
Solve -3*w**3 + 21*w**2 - 18*w = 0 for w.
0, 1, 6
Solve -2*w**3/3 - 92*w**2/3 + 8*w/3 + 368/3 = 0 for w.
-46, -2, 2
Find s, given that 14*s**4 - 272*s**3 + 366*s**2 - 108*s = 0.
0, 3/7, 1, 18
Solve 5*w**3 + 725*w**2 + 26640*w + 25920 = 0 for w.
-72, -1
Factor -2*s**3/11 - 24*s**2/11 + 120*s/11 - 128/11.
-2*(s - 2)**2*(s + 16)/11
Determine b so that -21*b**4 - 1188*b**3 + 513*b**2 = 0.
-57, 0, 3/7
Suppose 5*r**3 + 290*r**2 + 3080*r = 0. Calculate r.
-44, -14, 0
Solve -4*h**4 - 11*h**3 + 139*h**2 - 226*h + 48 = 0 for h.
-8, 1/4, 2, 3
Find r such that -3*r**2 - 81*r - 78 = 0.
-26, -1
Factor -5*r**2 - 3970*r - 788045.
-5*(r + 397)**2
Solve -36*n**5 - 93*n**4 - 9*n**3 + 87*n**2 + 45*n + 6 = 0.
-2, -1, -1/3, -1/4, 1
Let 3*t**2 + 132*t + 1452 = 0. What is t?
-22
Factor -a**4/12 + 5*a**3/6 - 13*a**2/12 - 2*a.
-a*(a - 8)*(a - 3)*(a + 1)/12
Let 2*j**2 - 6*j = 0. Calculate j.
0, 3
Factor -3*g**2/5 + 21*g - 372/5.
-3*(g - 31)*(g - 4)/5
Factor -5*l**4/2 - 700*l**3 - 73500*l**2 - 3430000*l - 60025000.
-5*(l + 70)**4/2
Solve 4*z**5 - 599*z**4 + 22942*z**3 - 38627*z**2 + 10804*z + 5476 = 0.
-1/4, 1, 74
Factor -3*l**2 - 3738*l - 1164387.
-3*(l + 623)**2
Factor y**5/3 - 19*y**4/3 + 38*y**3 - 224*y**2/3 + 128*y/3.
y*(y - 8)**2*(y - 2)*(y - 1)/3
Factor 5*h**3 + 25*h**2 - 70*h.
5*h*(h - 2)*(h + 7)
Solve -14*p**5/9 - 4*p**4/9 + 112*p**3/9 + 32*p**2/9 - 224*p/9 - 64/9 = 0 for p.
-2, -2/7, 2
Factor 2*s**2 + 2452*s + 751538.
2*(s + 613)**2
Factor 2*z**3/17 - 58*z**2/17 + 56*z/17.
2*z*(z - 28)*(z - 1)/17
Determine s so that -5*s**5 + 15*s**4 + 40*s**3 - 60*s**2 - 80*s = 0.
-2, -1, 0, 2, 4
Factor g**4/5 + g**3/5 - 4*g**2/5 - 4*g/5.
g*(g - 2)*(g + 1)*(g + 2)/5
Find z such that 2*z**2/3 - 814*z/3 + 812/3 = 0.
1, 406
Factor -10*l**3 + 126*l**2 + 52*l.
-2*l*(l - 13)*(5*l + 2)
Suppose 3*l**4/2 + 276*l**3 + 801*l**2 - 2436*l + 2715/2 = 0. Calculate l.
-181, -5, 1
Let 3*o**4/4 + 39*o**3/4 + 45*o**2 + 87*o + 60 = 0. What is o?
-5, -4, -2
Find b such that 2*b**3 - 164*b**2 + 3666*b - 12168 = 0.
4, 39
Determine i, given that -i**5/3 - i**4/2 + i**3/2 + i**2/3 = 0.
-2, -1/2, 0, 1
Factor 2*m**4/5 - 58*m**3/5 - 124*m**2/5.
2*m**2*(m - 31)*(m + 2)/5
Factor -2*p**3 + 78*p**2 + 624*p + 920.
-2*(p - 46)*(p + 2)*(p + 5)
Factor -4*v**2 + 1508*v.
-4*v*(v - 377)
Factor -m**5/9 + 23*m**4/9 + 25*m**3/3 + 77*m**2/9 + 26*m/9.
-m*(m - 26)*(m + 1)**3/9
Factor 5*b**4 + 20*b**3 - 730*b**2 + 1380*b - 675.
5*(b - 9)*(b - 1)**2*(b + 15)
Let 9*k**4 + 192*k**3 + 57*k**2 - 126*k = 0. What is k?
-21, -1, 0, 2/3
Factor -i**5 - 14*i**4 - 48*i**3 - 18*i**2 + 81*i.
-i*(i - 1)*(i + 3)**2*(i + 9)
Find i, given that 81*i**2/2 - 126*i + 98 = 0.
14/9
Solve 5*o**5 - 14*o**4 + 44*o**3/5 - 8*o**2/5 = 0 for o.
0, 2/5, 2
Factor h**2/3 - 46*h + 135.
(h - 135)*(h - 3)/3
Suppose -2*q**5/13 - 16*q**4/13 - 8*q**3/13 + 116*q**2/13 + 10*q/13 - 100/13 = 0. Calculate q.
-5, -1, 1, 2
Factor -2*l**4 + 116*l**3 - 226*l**2 + 112*l.
-2*l*(l - 56)*(l - 1)**2
Factor 4*x**2 + 160*x + 156.
4*(x + 1)*(x + 39)
Let -h**3 + 5*h**2 + 17*h - 21 = 0. What is h?
-3, 1, 7
What is x in x**5/11 - 3*x**4/11 + x**3/11 + 3*x**2/11 - 2*x/11 = 0?
-1, 0, 1, 2
What is b in -b**4/4 - 9*b**3/4 + 16*b**2 - 21*b = 0?
-14, 0, 2, 3
Factor -j**2/6 + 6*j - 54.
-(j - 18)**2/6
Solve 4*o**4 + 4*o**3 - 328*o**2 + 320*o = 0.
-10, 0, 1, 8
Find t such that 6*t**3 + 878*t**2 + 2020*t + 576 = 0.
-144, -2, -1/3
Factor 3*g**2 - 9*g - 162.
3*(g - 9)*(g + 6)
Let 3*j**4 + 60*j**3 = 0. Calculate j.
-20, 0
Factor 2*m**5/7 - 220*m**4/7 + 7992*m**3/7 - 93092*m**2/7 - 101306*m/7.
2*m*(m - 37)**3*(m + 1)/7
Solve 26*j**3/11 - 272*j**2/11 - 166*j/11 + 12 = 0.
-1, 6/13, 11
Factor -2*r**3 - 496*r**2 - 28672*r + 262144.
-2*(r - 8)*(r + 128)**2
Suppose -2*v**3/9 + 166*v**2/9 + 688*v/9 + 232/3 = 0. Calculate v.
-2, 87
Solve y**3/6 - y**2/3 - 5*y/2 = 0.
-3, 0, 5
Let -2*u**3 - 10*u**2 - 12*u = 0. Calculate u.
-3, -2, 0
Factor -3*d**4/5 + 84*d**3/5 - 159*d**2/5 + 78*d/5.
-3*d*(d - 26)*(d - 1)**2/5
Solve -2*n**4 + 14*n**3 = 0.
0, 7
Let -2*l**3 + 186*l**2 + 2*l - 186 = 0. What is l?
-1, 1, 93
Factor 4*j**5 - 16*j**4 - 4*j**3 + 16*j**2.
4*j**2*(j - 4)*(j - 1)*(j + 1)
Factor 2*j**3/7 - 12*j**2/7 + 6*j/7 + 20/7.
2*(j - 5)*(j - 2)*(j + 1)/7
Solve -3*p**3 + 72*p**2 - 297*p + 228 = 0 for p.
1, 4, 19
Factor n**3/6 + 13*n**2/3 + 34*n + 84.
(n + 6)**2*(n + 14)/6
Solve -4*c**2 - 4*c + 48 = 0.
-4, 3
Find j, given that -j**3/5 + 114*j**2 - 80652*j/5 - 163592/5 = 0.
-2, 286
Determine l, given that -5*l**4 + 150*l**3 + 160*l**2 - 150*l - 155 = 0.
-1, 1, 31
Factor 3*p**4/2 - 27*p**3/2 - 105*p**2.
3*p**2*(p - 14)*(p + 5)/2
Factor 16*g**4 + 944*g**3/3 - 481*g**2/3 + 121*g/6.
g*(4*g - 1)**2*(6*g + 121)/6
Factor 10*v**2 - 904*v + 2958.
2*(v - 87)*(5*v - 17)
Find h, given that -h**2/5 + 1274*h/5 = 0.
0, 1274
Factor 5*c**3 + 240*c**2.
5*c**2*(c + 48)
Factor -3*d**3/2 + 183*d**2 - 5394*d - 11532.
-3*(d - 62)**2*(d + 2)/2
Factor 2*z**4/9 + 10*z**3/9 - 2*z**2/9 - 10*z/9.
2*z*(z - 1)*(z + 1)*(z + 5)/9
Factor -4*z**2/5 + 184*z/5 - 2112/5.
-4*(z - 24)*(z - 22)/5
Solve -2*w**4/5 - 166*w**3/5 - 326*w**2/5 - 162*w/5 = 0 for w.
-81, -1, 0
Solve g**3/5 - 911*g**2/5 = 0.
0, 911
Factor 3*j**2 + 24*j - 60.
3*(j - 2)*(j + 10)
Let -2*