.
1, 44
Find p, given that 2*p**4/3 + 68*p**3/3 + 64*p**2 + 188*p/3 + 62/3 = 0.
-31, -1
Let -y**2/8 - 119*y/8 = 0. What is y?
-119, 0
Determine w so that -98*w**3/9 + 224*w**2/3 - 58*w + 12 = 0.
3/7, 6
Solve -2*h**4 + 6*h**3 + 14*h**2 - 30*h - 36 = 0 for h.
-2, -1, 3
Find c, given that -c**3/4 - 71*c**2/4 + c/4 + 71/4 = 0.
-71, -1, 1
What is w in 3*w**2/4 - 96*w - 1179/4 = 0?
-3, 131
Factor 2*x**4/5 + 428*x**3/5 + 22026*x**2/5 - 93304*x/5 + 95048/5.
2*(x - 2)**2*(x + 109)**2/5
Factor 3*a**4 + 129*a**3 + 588*a**2 + 684*a.
3*a*(a + 2)*(a + 3)*(a + 38)
Determine l, given that 34*l**2/11 - 46*l/11 + 12/11 = 0.
6/17, 1
Find w, given that 2*w**3 + 66*w**2 - 296*w = 0.
-37, 0, 4
Factor -3*v**5 + 6*v**4 + 36*v**3 + 42*v**2 + 15*v.
-3*v*(v - 5)*(v + 1)**3
Factor -25*y**5 + 90*y**4 - 61*y**3 - 36*y**2 - 4*y.
-y*(y - 2)**2*(5*y + 1)**2
Determine j, given that -10*j**3/13 + 14*j**2/13 + 56*j/13 - 24/13 = 0.
-2, 2/5, 3
Suppose -44*p**4/17 + 430*p**3/17 - 290*p**2/17 - 150*p/17 + 54/17 = 0. Calculate p.
-1/2, 3/11, 1, 9
Let -3*q**3/5 + 108*q**2/5 + 1083*q/5 - 1188/5 = 0. What is q?
-9, 1, 44
Factor -5*j**2 - 95*j - 390.
-5*(j + 6)*(j + 13)
Find f such that 3*f**3 + 147*f**2 = 0.
-49, 0
Factor 2*i**3/3 + 662*i**2/3 + 18370*i + 18150.
2*(i + 1)*(i + 165)**2/3
Factor 5*t**5 + 15*t**4 - 115*t**3 + 165*t**2 - 70*t.
5*t*(t - 2)*(t - 1)**2*(t + 7)
Let -4*u**3 - 32*u**2 + 4*u + 32 = 0. What is u?
-8, -1, 1
Find j such that -3*j**2 - 34080*j - 96787200 = 0.
-5680
Factor -50*p**3/7 + 1330*p**2 + 7472*p/7 + 1496/7.
-2*(p - 187)*(5*p + 2)**2/7
Let -205*p**2/2 + 201*p/4 + 1/2 = 0. What is p?
-2/205, 1/2
Solve -a**4/4 + 425*a**3/4 - 11128*a**2 - 34347*a = 0.
-3, 0, 214
Factor 2*w**3/3 + 94*w**2/3 + 1150*w/3 + 1058/3.
2*(w + 1)*(w + 23)**2/3
Solve 28*o**3 + 244*o**2 + 320*o - 112 = 0.
-7, -2, 2/7
Factor g**4/2 + 7*g**3 + 24*g**2 - 7*g - 49/2.
(g - 1)*(g + 1)*(g + 7)**2/2
Factor -d**3/4 - 5*d**2 - 83*d/4 + 26.
-(d - 1)*(d + 8)*(d + 13)/4
Suppose n**5/3 - 88*n**4/3 + 870*n**3 - 26912*n**2/3 + 24389*n/3 = 0. Calculate n.
0, 1, 29
Factor 5*o**3 + 15*o**2 - 945*o + 4165.
5*(o - 7)**2*(o + 17)
Let -2*m**4 + 28*m**3 + 102*m**2 + 8*m - 136 = 0. What is m?
-2, 1, 17
Solve -2*m**4 - 10*m**3 + 84*m**2 + 360*m - 432 = 0 for m.
-6, 1, 6
Factor -4*m**5 - 16*m**4 + 64*m**3 + 256*m**2.
-4*m**2*(m - 4)*(m + 4)**2
Factor 2*u**3/9 + 40*u**2/9 + 74*u/9 + 4.
2*(u + 1)**2*(u + 18)/9
Find u, given that 4*u**3/7 + 1416*u**2/7 + 125316*u/7 = 0.
-177, 0
Suppose 4*d**5 - 32*d**4 + 72*d**3 - 64*d**2 + 20*d = 0. Calculate d.
0, 1, 5
Determine l, given that 45*l**5 + 595*l**4 + 2830*l**3 + 5640*l**2 + 4000*l + 640 = 0.
-4, -1, -2/9
Let -2*c**4/9 + 16*c**3/9 + 60*c**2 - 864*c + 3078 = 0. Calculate c.
-19, 9
Let 3*x**5/4 - 57*x**3 + 375*x**2/2 + 225*x/4 - 375/2 = 0. Calculate x.
-10, -1, 1, 5
Let 4*h**3 + 228*h**2 - 4416*h - 296240 = 0. What is h?
-46, 35
Solve 3*f**3 - 9*f**2 + 6*f = 0 for f.
0, 1, 2
Determine c, given that 3*c**2 + 342*c + 339 = 0.
-113, -1
Factor g**4/4 + 3*g**3/4 + g**2/2.
g**2*(g + 1)*(g + 2)/4
Factor -3*v**2/5 - 99*v/5 + 102/5.
-3*(v - 1)*(v + 34)/5
Factor i**2/4 + 66*i + 4356.
(i + 132)**2/4
Factor -5041*i**2/4 + 355*i/2 - 25/4.
-(71*i - 5)**2/4
What is n in -12*n**4/7 - 2*n**3 + 36*n**2/7 + 26*n/7 - 12/7 = 0?
-2, -1, 1/3, 3/2
Factor -i**4 - 8*i**3 + 19*i**2 - 10*i.
-i*(i - 1)**2*(i + 10)
Factor 2*y**3 - 10*y**2 - 12*y.
2*y*(y - 6)*(y + 1)
Solve -6*b**4 - 68*b**3/3 - 38*b**2/3 + 4*b = 0.
-3, -1, 0, 2/9
Factor -5*r**3 - 9105*r**2 - 5526735*r - 1118242715.
-5*(r + 607)**3
Suppose 4*l**5/7 - 44*l**4/7 + 24*l**3 - 256*l**2/7 + 128*l/7 = 0. What is l?
0, 1, 2, 4
What is b in b**5 - 95*b**4 + 2483*b**3 - 10849*b**2 + 16560*b - 8100 = 0?
1, 2, 45
Factor 12*v**2 - 352*v/3 - 80/3.
4*(v - 10)*(9*v + 2)/3
Factor 2*v**3/11 - 20*v**2/11 + 34*v/11 + 56/11.
2*(v - 7)*(v - 4)*(v + 1)/11
Solve -m**2/8 - 157*m/8 + 79/4 = 0.
-158, 1
Factor -4*z**2 + 1688*z - 178084.
-4*(z - 211)**2
Factor -2*x**3/13 - 2*x**2/13 + 4*x/13.
-2*x*(x - 1)*(x + 2)/13
What is j in -10*j**4 - 775*j**3 - 1880*j**2 - 365*j + 750 = 0?
-75, -2, -1, 1/2
Factor 2*b**3 + 134*b**2 - 274*b + 138.
2*(b - 1)**2*(b + 69)
Factor 3*m**3/4 + 3*m**2 - 57*m/4 + 21/2.
3*(m - 2)*(m - 1)*(m + 7)/4
Determine r, given that -2*r**5 - 3*r**4 + 10*r**3 - 8*r + 3 = 0.
-3, -1, 1/2, 1
Factor 8*m**3/15 + 86*m**2/3 - 36*m/5.
2*m*(m + 54)*(4*m - 1)/15
Factor -r**3/7 - 9*r**2 - 816*r/7 + 5780/7.
-(r - 5)*(r + 34)**2/7
Let 2*g**2/7 - 1324*g/7 + 219122/7 = 0. What is g?
331
Factor -3*h**3/2 + 165*h**2 - 9075*h/2.
-3*h*(h - 55)**2/2
Factor 35*c**3 - c**2 - 35*c + 1.
(c - 1)*(c + 1)*(35*c - 1)
Let 3*k**4/5 + 57*k**3/5 - 12*k**2/5 - 228*k/5 = 0. Calculate k.
-19, -2, 0, 2
Determine t, given that -3*t**2 - 2916*t + 5844 = 0.
-974, 2
Factor -7*c**2/9 + 25*c/3 + 22/9.
-(c - 11)*(7*c + 2)/9
What is b in -b**5 + 7*b**4 + 71*b**3 - 335*b**2 + 434*b - 176 = 0?
-8, 1, 2, 11
Factor -z**2/5 + 81*z/5 - 1638/5.
-(z - 42)*(z - 39)/5
Factor -4*l**2 - 44*l - 120.
-4*(l + 5)*(l + 6)
Factor 2*s**3/3 + 10*s**2/3 + 2*s - 6.
2*(s - 1)*(s + 3)**2/3
Find y such that -y**2 - 171*y + 172 = 0.
-172, 1
Let 3*n**5 - 24*n**4 + 36*n**3 = 0. Calculate n.
0, 2, 6
Let -2*m**3/7 + 66*m**2/7 + 68*m/7 = 0. What is m?
-1, 0, 34
Solve -5*l**3 + 115*l**2 + 380*l + 260 = 0.
-2, -1, 26
Find q such that -16*q**2/5 + 11236*q/5 - 2808/5 = 0.
1/4, 702
Let o**2/3 + 3*o + 8/3 = 0. Calculate o.
-8, -1
Factor -2*v**4 + 16*v**3 + 144*v**2 + 320*v + 224.
-2*(v - 14)*(v + 2)**3
Find u, given that 4*u**3 + 1080*u**2 - 2176*u = 0.
-272, 0, 2
Suppose 2*u**5 - 4*u**4 - 10*u**3 + 20*u**2 + 8*u - 16 = 0. What is u?
-2, -1, 1, 2
Factor -2*v**2/3 - 22*v - 232/3.
-2*(v + 4)*(v + 29)/3
Factor m**3 + 3*m**2 - 4*m.
m*(m - 1)*(m + 4)
Determine s so that -3*s**5/4 + 165*s**4/4 + 45*s**3 - 165*s**2 - 168*s = 0.
-2, -1, 0, 2, 56
Suppose 4*f**4 + 8*f**3 - 48*f**2 - 160*f - 128 = 0. What is f?
-2, 4
Let -5*r**4 + 704*r**3 - 24354*r**2 - 30104*r - 5041 = 0. What is r?
-1, -1/5, 71
Let -2*m**3/5 - 364*m**2/5 - 362*m/5 = 0. Calculate m.
-181, -1, 0
Factor -3*o**2/5 - 19524*o/5 - 31765548/5.
-3*(o + 3254)**2/5
Find q such that q**2/2 + 28*q = 0.
-56, 0
Determine x, given that 3*x**2/7 - 201*x/7 + 198/7 = 0.
1, 66
Determine g so that g**4/4 + g**3/2 - 3*g**2/4 - g + 1 = 0.
-2, 1
Factor -3*j**3 + 33*j**2 - 78*j + 48.
-3*(j - 8)*(j - 2)*(j - 1)
Suppose 5*f**5 - 85*f**3 + 180*f**2 - 100*f = 0. What is f?
-5, 0, 1, 2
What is n in 2*n**5/21 - 232*n**4/21 - 2*n**3/21 + 232*n**2/21 = 0?
-1, 0, 1, 116
Determine z so that z**4 - 17*z**3 + 16*z**2 = 0.
0, 1, 16
Solve 4*j**5 + 16*j**4 + 4*j**3 - 56*j**2 - 80*j - 32 = 0 for j.
-2, -1, 2
Determine y, given that -6*y**4/5 + 96*y**3/5 + 42*y**2 + 108*y/5 = 0.
-1, 0, 18
Factor 5*b**4 - 1360*b**3 + 138720*b**2 - 6288640*b + 106906880.
5*(b - 68)**4
What is h in 15*h**3 + 111*h**2 + 132*h + 36 = 0?
-6, -1, -2/5
Factor -5*v**3 - 70*v**2 - 55*v + 130.
-5*(v - 1)*(v + 2)*(v + 13)
Factor 42*g**3/5 + 177*g**2/5 + 162*g/5 + 27/5.
3*(g + 1)*(g + 3)*(14*g + 3)/5
Factor 2*b**3/7 + 12*b**2/7 + 10*b/7.
2*b*(b + 1)*(b + 5)/7
Factor -p**2/6 + p/2 + 2/3.
-(p - 4)*(p + 1)/6
Factor -y**4 - 25*y**3 - 107*y**2 - 143*y - 60.
-(y + 1)**2*(y + 3)*(y + 20)
Factor -2*m**3/5 - 278*m**2 - 239414*m/5 + 730806/5.
-2*(m - 3)*(m + 349)**2/5
Suppose 14*r**3/19 - 16*r**2 + 1606*r/19 + 484/19 = 0. Calculate r.
-2/7, 11
Suppose -m**5/3 - 19*m**4/3 - 89*m**3/3 + 19*m**2/3 + 30*m = 0. What is m?
-10, -9, -1, 0, 1
Factor -2*k**2/17 + 328*k/17 - 13448/17.
-2*(k - 82)**2/17
Factor -2*k**3/15 - 28*k**2/15 + 62*k/15 - 32/15.
-2*(k - 1)**2*(k + 16)/15
Solve -u**2/5 - 18*u/5 + 19/5 = 0 for u.
-19, 1
Solve -3*l**3 - 2*l**2 + 61*l - 20 = 0.
-5, 1/3, 4
Factor 2*j**2/9 - 350*j/9 - 352/9.
2*(j - 176)*(j + 1)/9
What is a in -5*a**2 - 165*a + 350 = 0?
-35, 2
Factor 4*u**2 + 3096*u + 599076.
4*(u + 387)**2
Let 2*v**3 + 144*v**2 + 3456*v + 27648 = 0. Calculate v.
-24
Factor -2*m**3/9 - 292*m**2/3 + 878*m/9.
-2*m*(m - 1)*(m + 439)/9
Factor 4*m**3 - 136*m**2 - 288*m.
4*m*(m - 36)*(m + 2)
Let -u**4/3 - 20*u**3/3 + 311*u**2/3 + 110*u = 0. What is u?
-30, -1, 0, 11
Let 14*h**3/3 + 1088*h**2/3 + 1912*h - 576 = 0. Calculate h.
-72, -6, 2/7
Factor -c**4/2 + c**3 + 6*c**2 - 9*c - 27/2.
-(c - 3)**2*(c + 1)*(c + 3)/2
Factor 5*t**3 - 50*t**2 + 160*t - 160.