z + 1)*(z + 6)
Suppose 3*s**4/5 + 47*s**3/5 - 198*s**2/5 - 152*s/5 = 0. Calculate s.
-19, -2/3, 0, 4
Factor -4*x**4/7 - 192*x**3/7.
-4*x**3*(x + 48)/7
Determine p, given that -p**5/4 + 3*p**4/2 - p**3/2 - 5*p**2 + 27*p/4 - 5/2 = 0.
-2, 1, 5
Factor -2*d**3/5 - 40*d**2 - 394*d/5 - 196/5.
-2*(d + 1)**2*(d + 98)/5
Let -h**5/5 + h**4/5 + 42*h**3/5 + 104*h**2/5 + 64*h/5 = 0. Calculate h.
-4, -2, -1, 0, 8
Factor 2*y**3/11 + 16*y**2/11 + 24*y/11.
2*y*(y + 2)*(y + 6)/11
Find m, given that 66*m**4 - 507*m**3 - 174*m**2 + 48*m = 0.
-1/2, 0, 2/11, 8
Suppose -3*w**5 - 9*w**4 + 42*w**3 + 54*w**2 - 39*w - 45 = 0. Calculate w.
-5, -1, 1, 3
Determine i, given that -6*i**2/7 - 8*i/7 + 8/7 = 0.
-2, 2/3
Factor 15*r**2 - 441*r - 1248.
3*(r - 32)*(5*r + 13)
Factor 2*w**3/7 + 22*w**2 - 1916*w/7 + 1760/7.
2*(w - 10)*(w - 1)*(w + 88)/7
Determine u so that -2*u**4/3 - 2*u**3/9 + 328*u**2/9 + 72*u - 64 = 0.
-6, -3, 2/3, 8
What is s in s**5/2 + 15*s**4/2 - 41*s**3 - 487*s**2 + 5265*s/2 - 4225/2 = 0?
-13, 1, 5
Factor -q**2/2 + 323*q/2.
-q*(q - 323)/2
Suppose 2*h**2/13 + 452*h/13 + 25538/13 = 0. Calculate h.
-113
Find p, given that 2*p**3 + 78*p**2 + 798*p + 722 = 0.
-19, -1
Factor -2*c**3/13 + 8*c**2/13 + 38*c/13 + 28/13.
-2*(c - 7)*(c + 1)*(c + 2)/13
Let -2*a**5/9 - 28*a**4/9 - 92*a**3/9 + 80*a**2/9 + 238*a/9 - 196/9 = 0. Calculate a.
-7, -2, 1
Suppose -m**4/3 - 67*m**3/3 - 19*m**2 + 201*m + 198 = 0. Calculate m.
-66, -3, -1, 3
Let 2*x**4/7 + 34*x**3/7 - 486*x**2 + 3366*x/7 = 0. Calculate x.
-51, 0, 1, 33
Factor -2*j**2/9 + 10*j/9 + 4/3.
-2*(j - 6)*(j + 1)/9
What is k in 2*k**2/5 - 156*k/5 + 90 = 0?
3, 75
Factor w**3 - 202*w**2 + 12060*w - 178200.
(w - 90)**2*(w - 22)
Let 5*y**2 - 2150*y + 231125 = 0. Calculate y.
215
Factor -7296320*b**3 - 7308400*b**2 - 12085*b - 5.
-5*(b + 1)*(1208*b + 1)**2
Factor -6*r**3 + 52*r**2 + 234*r + 72.
-2*(r - 12)*(r + 3)*(3*r + 1)
Factor 5*s**4 + 5*s**3 - 20*s**2 - 20*s.
5*s*(s - 2)*(s + 1)*(s + 2)
Suppose 2*g**5 - 42*g**4 - 50*g**3 + 122*g**2 + 216*g + 88 = 0. What is g?
-1, 2, 22
Factor 2*s**2/5 + 122*s + 608/5.
2*(s + 1)*(s + 304)/5
What is d in 2*d**4/5 - 22*d**3 + 108*d**2/5 = 0?
0, 1, 54
Factor q**4/6 + 4*q**3 + 103*q**2/6 + 26*q + 38/3.
(q + 1)*(q + 2)**2*(q + 19)/6
Determine q, given that 3*q**5/2 + 7*q**4/2 - q**3/2 - 7*q**2/2 - q = 0.
-2, -1, -1/3, 0, 1
Solve -4*g**3 + 152*g**2 - 292*g + 144 = 0 for g.
1, 36
Let -4*s**3 - 168*s**2 - 884*s - 720 = 0. Calculate s.
-36, -5, -1
Let -5*t**5 + 90*t**4 - 540*t**3 + 1370*t**2 - 1455*t + 540 = 0. What is t?
1, 3, 4, 9
Factor 3*o**2 + 66*o + 363.
3*(o + 11)**2
What is r in -2*r**2/13 - 726*r/13 - 724/13 = 0?
-362, -1
What is k in k**2/5 - 291*k/5 + 864/5 = 0?
3, 288
Let -10*t**2 - 44*t + 30 = 0. What is t?
-5, 3/5
Find j, given that -420*j**5 - 1336*j**4 - 60*j**3 + 472*j**2 - 96*j = 0.
-3, -4/5, 0, 2/7, 1/3
Factor -z**2 + 439*z + 440.
-(z - 440)*(z + 1)
Factor -x**4/4 + 45*x**3/2 + 23*x**2 - 45*x/2 - 91/4.
-(x - 91)*(x - 1)*(x + 1)**2/4
Let 300*r**4 + 4140*r**3 + 6363*r**2 - 1398*r + 72 = 0. What is r?
-12, -2, 1/10
Factor -3*z**4 - 18*z**3 - 27*z**2 - 12*z.
-3*z*(z + 1)**2*(z + 4)
Factor 10*k**2/3 - 2*k/3.
2*k*(5*k - 1)/3
Let -4*d**5 + 84*d**4 + 212*d**3 - 660*d**2 + 368*d = 0. What is d?
-4, 0, 1, 23
What is d in 3*d**2 - 21*d = 0?
0, 7
Determine o, given that -4*o**2/3 + 62*o/3 + 32/3 = 0.
-1/2, 16
Find f, given that 35*f**2 + 1840*f + 3540 = 0.
-354/7, -2
Determine p, given that -p**2/2 - 64*p - 2048 = 0.
-64
Solve 2*c**5 - 49*c**4/2 - 20*c**3 + 13*c**2/2 = 0 for c.
-1, 0, 1/4, 13
Suppose -12*y**5 - 68*y**4 - 84*y**3 + 36*y**2 = 0. Calculate y.
-3, 0, 1/3
Determine i so that 3*i**3 - 513*i**2 + 22680*i - 63504 = 0.
3, 84
Factor -2*o**3/5 + 76*o**2/5 - 746*o/5 + 672/5.
-2*(o - 21)*(o - 16)*(o - 1)/5
Factor 4*q**2/5 + 152*q/5 + 1444/5.
4*(q + 19)**2/5
Let 15*o**2 + 20*o + 5 = 0. What is o?
-1, -1/3
Find k such that -3*k**3 + 27*k**2 + 30*k = 0.
-1, 0, 10
Factor -28*k**4 - 216*k**3 - 132*k**2 + 56*k.
-4*k*(k + 1)*(k + 7)*(7*k - 2)
Solve -2*j**4/11 - 54*j**3/11 + 6*j**2/11 + 166*j/11 + 108/11 = 0 for j.
-27, -1, 2
Factor j**3/2 + j**2 - 63*j/2.
j*(j - 7)*(j + 9)/2
Let 4*t**5/3 + 22*t**4/3 + 2*t**3/3 - 88*t**2/3 - 24*t = 0. What is t?
-9/2, -2, -1, 0, 2
Determine i so that -12*i**3 - 88*i**2 + 1072*i - 672 = 0.
-14, 2/3, 6
Factor -4*f**2 + 512*f - 16384.
-4*(f - 64)**2
Factor x**4 - 11*x**3 - 60*x**2.
x**2*(x - 15)*(x + 4)
Find m, given that -8*m**5 - 22*m**4 + 54*m**3 + 52*m**2 - 16*m = 0.
-4, -1, 0, 1/4, 2
Factor -15*p**3 - 310*p**2 + 1185*p - 360.
-5*(p - 3)*(p + 24)*(3*p - 1)
Factor 4*l**3/9 + 208*l**2/9 - 640*l/3.
4*l*(l - 8)*(l + 60)/9
Solve 27*p**2/7 + 4596*p/7 + 1020/7 = 0 for p.
-170, -2/9
Solve -n**3 + 327*n**2 - 1296*n + 1292 = 0 for n.
2, 323
Determine x so that 2*x**5/3 - 2*x**4 + 4*x**3/3 + 4*x**2/3 - 2*x + 2/3 = 0.
-1, 1
Factor t**2/2 - 655*t/2 + 653.
(t - 653)*(t - 2)/2
Find y such that -5*y**3 - 55*y**2 + 280*y - 300 = 0.
-15, 2
Factor -n**2/6 + 44*n.
-n*(n - 264)/6
Factor -d**3/3 - 2*d**2/3 + 89*d/3 + 30.
-(d - 9)*(d + 1)*(d + 10)/3
Factor a**2/5 - 329*a/5 - 662/5.
(a - 331)*(a + 2)/5
Factor 5*t**3 + 85*t**2 + 150*t.
5*t*(t + 2)*(t + 15)
Let -185*i**3 + 360*i**2 - 165*i - 10 = 0. What is i?
-2/37, 1
Determine c so that -c**3/6 + 147*c**2 - 43218*c + 4235364 = 0.
294
Factor -1250*u**3/7 + 6150*u**2/7 + 498*u/7 + 10/7.
-2*(u - 5)*(25*u + 1)**2/7
What is r in -6*r**3/13 - 238*r**2/13 + 326*r/13 - 82/13 = 0?
-41, 1/3, 1
Find p such that -2*p**4/13 + 28*p**3/13 - 48*p**2/13 - 252*p/13 + 594/13 = 0.
-3, 3, 11
Factor 5*p**3 + 200*p**2 + 380*p.
5*p*(p + 2)*(p + 38)
Factor 18*s**3 - 60*s**2 + 56*s - 16.
2*(s - 2)*(3*s - 2)**2
Factor 5*o**5 + 20*o**4 - 125*o**3 - 140*o**2.
5*o**2*(o - 4)*(o + 1)*(o + 7)
Factor -b**3/4 - 51*b**2/4 - 156*b + 169.
-(b - 1)*(b + 26)**2/4
Determine q, given that -2*q**5/5 + 2*q**4 + 28*q**3/5 = 0.
-2, 0, 7
Let -8427*j**2/4 + 159*j/2 - 3/4 = 0. What is j?
1/53
Suppose -6*l**5/11 - 48*l**4/11 + 60*l**3/11 + 48*l**2/11 - 54*l/11 = 0. Calculate l.
-9, -1, 0, 1
Find z such that -z**2/4 - 2*z + 65/4 = 0.
-13, 5
Factor 26*m**5 - 238*m**4 + 36*m**3.
2*m**3*(m - 9)*(13*m - 2)
Solve 8232*y**3 + 22932*y**2 + 21294*y + 6591 = 0.
-13/14
What is m in -5*m**4 - 390*m**3 - 1485*m**2 - 340*m + 2220 = 0?
-74, -3, -2, 1
Suppose 2*l**2 - 40*l - 192 = 0. Calculate l.
-4, 24
Factor -4*f**3 - 92*f**2 - 156*f + 252.
-4*(f - 1)*(f + 3)*(f + 21)
Factor -4*d**2 + 7640*d + 7644.
-4*(d - 1911)*(d + 1)
Suppose -2*g**2 + 2424*g - 734472 = 0. Calculate g.
606
Suppose 4*j**4 + 24*j**3 + 32*j**2 - 24*j - 36 = 0. What is j?
-3, -1, 1
Let 2*g**3/7 + 58*g**2/7 - 60*g/7 = 0. What is g?
-30, 0, 1
Factor r**3/2 - 5*r**2 + 14*r - 12.
(r - 6)*(r - 2)**2/2
Find o such that 3*o**5/2 + 102*o**4 + 3831*o**3/2 + 5829*o**2 - 6336*o - 27648 = 0.
-32, -3, 2
Factor -2*t**2 - 6604*t - 5451602.
-2*(t + 1651)**2
Factor -l**3/3 + 4*l**2/3 + l - 6.
-(l - 3)**2*(l + 2)/3
Solve z**4/2 + 5*z**3/2 + 2*z**2 = 0.
-4, -1, 0
Factor q**2/6 - 115*q/2 + 343/3.
(q - 343)*(q - 2)/6
Factor 4*f**4/5 + 84*f**3/5 - 36*f**2 + 92*f/5.
4*f*(f - 1)**2*(f + 23)/5
Let -k**4/4 + 19*k**3/4 - 83*k**2/4 + 53*k/4 + 39 = 0. What is k?
-1, 3, 4, 13
Factor 3*b**5 + 363*b**4 - 1107*b**3 + 1113*b**2 - 372*b.
3*b*(b - 1)**3*(b + 124)
Solve l**3 + 76*l**2/3 + 163*l/3 + 46/3 = 0 for l.
-23, -2, -1/3
Solve 2*z**3/7 - 10*z**2/7 + 2*z - 6/7 = 0 for z.
1, 3
Determine t, given that -2*t**4/7 + 40*t**3/7 + 6*t**2 = 0.
-1, 0, 21
Factor -5*d**4 - 90*d**3 - 165*d**2 - 80*d.
-5*d*(d + 1)**2*(d + 16)
Factor -2*i**4/9 + 26*i**3/9 + 20*i**2.
-2*i**2*(i - 18)*(i + 5)/9
Factor -2*k**5/3 - 6*k**4 - 2*k**3 + 146*k**2/3 - 64*k + 24.
-2*(k - 1)**3*(k + 6)**2/3
Factor -3*y**4/2 + 627*y**3 - 133527*y**2/2 + 259578*y - 257094.
-3*(y - 207)**2*(y - 2)**2/2
Suppose -10*m**5 - 5175*m**4 - 2580*m**3 + 2585*m**2 = 0. Calculate m.
-517, -1, 0, 1/2
Solve 2*g**4/17 + 60*g**3/17 - 622*g**2/17 - 18600*g/17 + 80000/17 = 0.
-25, 4, 16
Find n, given that -4*n**5 + 24*n**4 - 20*n**3 - 48*n**2 = 0.
-1, 0, 3, 4
Let -4*c**4/11 - 2*c**3 + 118*c**2/11 - 80*c/11 - 72/11 = 0. What is c?
-9, -1/2, 2
Factor 4*v**3/5 - 62*v**2/5 + 28*v/5 + 6.
2*(v - 15)*(v - 1)*(2*v + 1)/5
Solve -2*a**2/5 + 16*a/5 = 0 for a.
0, 8
Solve 2*a**5/3 + 86*a**4/3 + 82*a**3/3 - 86*a**2/3 - 28*a = 0 for a.
-4