s + 6)
Find y such that y**5/2 - 5*y**4/2 - 19*y**3/2 + 77*y**2/2 + 9*y - 36 = 0.
-4, -1, 1, 3, 6
Solve 2*t**3/11 - 6*t**2/11 - 8*t/11 = 0 for t.
-1, 0, 4
Factor -5*f**3/3 + 70*f**2/3.
-5*f**2*(f - 14)/3
Suppose -2*j**3/7 - 86*j**2/7 - 880*j/7 + 968/7 = 0. What is j?
-22, 1
Determine a so that 20*a**2/3 - 4884*a - 5864/3 = 0.
-2/5, 733
Suppose 9*w**4/5 - 83*w**3/5 + 9*w**2/5 + 83*w/5 - 18/5 = 0. What is w?
-1, 2/9, 1, 9
Determine d, given that 4*d**3/7 + 2460*d**2/7 + 53856*d - 54208 = 0.
-308, 1
Factor 2*a**3/5 + 354*a**2/5 + 344*a.
2*a*(a + 5)*(a + 172)/5
Factor 5*i**2 + 1170*i - 2360.
5*(i - 2)*(i + 236)
Factor -q**4/2 + 5*q**3 + 3*q**2/2 - 70*q - 98.
-(q - 7)**2*(q + 2)**2/2
Suppose 2*z**5/5 + 20*z**4 + 1496*z**3/5 + 5744*z**2/5 - 2816*z/5 - 30976/5 = 0. Calculate z.
-22, -4, 2
Determine k so that k**5/2 - 35*k**4 + 559*k**3 - 3040*k**2 + 9081*k/2 - 2025 = 0.
1, 9, 50
Let 5*t**5/6 - 47*t**4/6 + 41*t**3/2 - 137*t**2/6 + 34*t/3 - 2 = 0. What is t?
2/5, 1, 6
Factor 2*n**3/5 + 196*n**2/5 - 198*n/5.
2*n*(n - 1)*(n + 99)/5
What is t in -6*t**5/13 - 4*t**4/13 + 114*t**3/13 + 40*t**2/13 - 456*t/13 - 288/13 = 0?
-4, -2, -2/3, 3
Find r, given that -58*r**4 + 1296*r**3 - 8560*r**2 + 14400*r - 4000 = 0.
10/29, 2, 10
Let 6*z**2/7 - 58*z/7 - 20/7 = 0. What is z?
-1/3, 10
Solve 12*w**3/5 + 52*w**2 + 1331*w/5 + 602/5 = 0 for w.
-14, -43/6, -1/2
Find g, given that 4*g**2 - 5080*g + 1612900 = 0.
635
Factor -4*n**4/5 - 17*n**3/5 - 27*n**2/5 - 19*n/5 - 1.
-(n + 1)**3*(4*n + 5)/5
Factor h**3/3 - 20*h**2/3 - 208*h/3 - 448/3.
(h - 28)*(h + 4)**2/3
Factor j**4/3 - 118*j**3/3 - 121*j**2.
j**2*(j - 121)*(j + 3)/3
Determine h so that 3*h**3/2 - 455*h**2/2 - 77*h + 152 = 0.
-1, 2/3, 152
Factor 4*h**3 + 7016*h**2/3 + 1027840*h/3 + 682112/3.
4*(h + 292)**2*(3*h + 2)/3
Determine l so that -l**4/4 + l**3/2 + 9*l**2 + 22*l + 16 = 0.
-2, 8
Suppose t**2 + 3628*t + 3290596 = 0. What is t?
-1814
Solve -x**3/5 - 2*x**2/5 + 13*x/5 - 2 = 0.
-5, 1, 2
Factor a**2/3 + 35*a/3.
a*(a + 35)/3
Factor -4*m**3 - 32*m**2 + 144*m + 1152.
-4*(m - 6)*(m + 6)*(m + 8)
Determine c so that 3*c**5/5 + 8*c**4/5 - 3*c**3/5 = 0.
-3, 0, 1/3
Factor d**3/6 + 11*d**2/3 - 119*d/6 - 578.
(d - 12)*(d + 17)**2/6
Factor 5*x**2 + 640*x + 20480.
5*(x + 64)**2
What is h in 2*h**5 + 16*h**4 - 46*h**3 - 52*h**2 + 88*h + 80 = 0?
-10, -1, 2
What is t in -2*t**4/9 + 58*t**3/9 - 254*t**2/9 + 38*t - 16 = 0?
1, 3, 24
Solve -v**5/4 - 6*v**4 - 52*v**3 - 363*v**2/2 - 511*v/4 + 735/2 = 0 for v.
-7, -6, -5, 1
Suppose 9*m**4 + 4308*m**3 + 512643*m**2 - 689760*m + 172800 = 0. What is m?
-240, 1/3, 1
Determine z so that 2*z**3/3 - 20*z**2/3 - 22*z/3 = 0.
-1, 0, 11
What is c in 2*c**5 - 224*c**4 - 4*c**3 + 448*c**2 + 2*c - 224 = 0?
-1, 1, 112
Solve 2*g**5/3 + 100*g**4 + 10604*g**3/3 - 16944*g**2 - 132286*g/3 - 23716 = 0.
-77, -1, 6
Factor 12*c**3 + 1612*c**2 + 3704*c + 1056.
4*(c + 2)*(c + 132)*(3*c + 1)
Determine l, given that 2*l**3/13 - 568*l**2/13 - 3462*l/13 - 5220/13 = 0.
-3, 290
Let 5*o**4 + 15*o**3 - 5*o**2 - 15*o = 0. Calculate o.
-3, -1, 0, 1
Factor -7*s**4 - 36*s**3 - 45*s**2 + 28*s + 60.
-(s - 1)*(s + 2)**2*(7*s + 15)
Factor l**3 + 1107*l**2 + 305808*l - 306916.
(l - 1)*(l + 554)**2
Let -3*a**2/5 + 6666*a/5 - 3702963/5 = 0. Calculate a.
1111
Determine a, given that -a**5/3 - 131*a**4/9 - 212*a**3/9 - 28*a**2/3 = 0.
-42, -1, -2/3, 0
Solve -3*a**3 + 9*a**2 + 3*a - 9 = 0.
-1, 1, 3
Determine p so that 28*p**5 - 216*p**4 - 316*p**3 - 72*p**2 = 0.
-1, -2/7, 0, 9
Factor 2*n**4/9 - 116*n**3/9 - 118*n**2/9.
2*n**2*(n - 59)*(n + 1)/9
Factor 2*c**4/3 + 674*c**3/3 + 56446*c**2/3 - 57122*c/3.
2*c*(c - 1)*(c + 169)**2/3
Determine a so that -6*a**2/7 - 18684*a/7 - 14545494/7 = 0.
-1557
Factor -2*y**2 + 40*y + 42.
-2*(y - 21)*(y + 1)
Suppose c**4 - 7*c**3/2 + 3*c**2/2 + 7*c/2 - 5/2 = 0. Calculate c.
-1, 1, 5/2
Factor -2*b**4 - 4*b**3 + 24*b**2 - 28*b + 10.
-2*(b - 1)**3*(b + 5)
Factor -3*f**2 - 1089*f + 1092.
-3*(f - 1)*(f + 364)
Factor -3*o**2 + 60*o + 63.
-3*(o - 21)*(o + 1)
Factor 5*z**3/2 - 5*z**2 - 205*z/2 + 105.
5*(z - 7)*(z - 1)*(z + 6)/2
Factor -2*c**2/17 - 8*c/17 + 24/17.
-2*(c - 2)*(c + 6)/17
Suppose -4*a**4 + 80*a**3 - 384*a**2 - 320*a + 1600 = 0. Calculate a.
-2, 2, 10
Factor 4*d**3/7 + 24*d**2/7 - 60*d/7 - 400/7.
4*(d - 4)*(d + 5)**2/7
Factor 12*k**3 + 111*k**2 + 243*k + 54.
3*(k + 3)*(k + 6)*(4*k + 1)
Find j such that 20*j**5 + 11172*j**4 + 1552328*j**3 - 2190720*j**2 + 627200*j = 0.
-280, 0, 2/5, 1
Factor -2*h**2/7 + 312*h/7 - 310/7.
-2*(h - 155)*(h - 1)/7
Find x such that -3*x**5/2 + 12*x**4 + 30*x**3 + 3*x**2 - 57*x/2 - 15 = 0.
-1, 1, 10
Determine z so that -3*z**3/4 - 51*z**2/4 - 42*z - 39 = 0.
-13, -2
Factor 49*w**2 + 84*w + 36.
(7*w + 6)**2
Solve -5*s**2 + 160*s - 300 = 0 for s.
2, 30
Factor -j**3/4 + 69*j**2/2 - 1224*j + 2312.
-(j - 68)**2*(j - 2)/4
Factor 6*y**3/5 + 444*y**2/5 + 3168*y/5.
6*y*(y + 8)*(y + 66)/5
Factor -2*y**4 - 8*y**3 + 52*y**2 + 120*y - 450.
-2*(y - 3)**2*(y + 5)**2
Factor 4*s**3/3 - 536*s**2 + 71824*s - 9624416/3.
4*(s - 134)**3/3
Factor -3*b**4 - 1032*b**3 - 88752*b**2.
-3*b**2*(b + 172)**2
Let -5*u**5/2 - 5*u**4/2 + 65*u**3/2 + 125*u**2/2 + 30*u = 0. What is u?
-3, -1, 0, 4
Factor -3*p**2/8 + 6243*p/4 - 12991683/8.
-3*(p - 2081)**2/8
Let 3*c**2/5 - 294*c/5 - 120 = 0. What is c?
-2, 100
Factor -q**2/3 - 92*q/3.
-q*(q + 92)/3
Determine h, given that 8*h**3 - 20*h**2 + 4*h + 8 = 0.
-1/2, 1, 2
Factor n**3/10 - 17*n**2/10 - 37*n/10 - 19/10.
(n - 19)*(n + 1)**2/10
Let 2*x**4 - 8*x**3 + 8*x**2 = 0. What is x?
0, 2
Factor 3*m**4/4 - 27*m**2 - 24*m + 144.
3*(m - 6)*(m - 2)*(m + 4)**2/4
Factor 3*b**4 - 21*b**3 + 54*b**2 - 60*b + 24.
3*(b - 2)**3*(b - 1)
Suppose -5*l**5/2 - 19*l**4/2 - 21*l**3/2 - 5*l**2/2 + l = 0. What is l?
-2, -1, 0, 1/5
Factor -x**2 - 65*x - 64.
-(x + 1)*(x + 64)
Factor -4*l**2 + 8*l + 32.
-4*(l - 4)*(l + 2)
Solve -4*y**3 - 4600*y**2 + 13828*y - 9224 = 0.
-1153, 1, 2
Factor -3*y**2 + 24*y - 45.
-3*(y - 5)*(y - 3)
Factor 5*m**4 - 9*m**3 - 37*m**2 - 27*m - 4.
(m - 4)*(m + 1)**2*(5*m + 1)
Factor 2*n**2/5 - 72*n/5 + 648/5.
2*(n - 18)**2/5
Let -1445*d**4 + 24905*d**3 + 20210*d**2 - 5780*d + 360 = 0. Calculate d.
-1, 2/17, 18
Suppose -2*z**4/7 - 2*z**3 + 38*z**2/7 + 2*z - 36/7 = 0. Calculate z.
-9, -1, 1, 2
Determine m, given that m**3 - 37*m**2 + 195*m - 279 = 0.
3, 31
Factor -y**3 + 46*y**2 - 495*y + 450.
-(y - 30)*(y - 15)*(y - 1)
Factor 2*s**4 - 162*s**3.
2*s**3*(s - 81)
Factor w**2 - 143*w + 690.
(w - 138)*(w - 5)
Find t such that 2*t**3 + 11*t**2 + 20*t + 12 = 0.
-2, -3/2
Factor -5*l**3 + 280*l**2 - 540*l.
-5*l*(l - 54)*(l - 2)
Factor -2*f**4/3 + 2*f**3 - 4*f**2/3.
-2*f**2*(f - 2)*(f - 1)/3
Factor -2*h**3 + 66*h**2 - 288*h + 224.
-2*(h - 28)*(h - 4)*(h - 1)
Find i, given that -10*i**5 - 404*i**4 - 3740*i**3 + 6968*i**2 - 1050*i - 1764 = 0.
-21, -2/5, 1
Factor -28*d**2 + 14960*d - 4272.
-4*(d - 534)*(7*d - 2)
Solve z**2/3 + 8*z/3 - 65/3 = 0.
-13, 5
Suppose 4*y**5/3 + 4*y**4 - 36*y**3 + 52*y**2/3 + 56*y = 0. What is y?
-7, -1, 0, 2, 3
Find b such that -b**3/4 + 7*b/4 - 3/2 = 0.
-3, 1, 2
Determine y, given that 9*y**5 + 156*y**4 + 456*y**3 + 522*y**2 + 255*y + 42 = 0.
-14, -1, -1/3
Find u such that -3*u**4 - 267*u**3 + 1683*u**2 - 2553*u + 1140 = 0.
-95, 1, 4
Let 2*x**5/7 + 34*x**4 + 702*x**3/7 + 698*x**2/7 + 232*x/7 = 0. Calculate x.
-116, -1, 0
Factor 2*y**2/3 - 120*y.
2*y*(y - 180)/3
Factor a**4 - 9*a**3 + 14*a**2 + 24*a.
a*(a - 6)*(a - 4)*(a + 1)
Factor 2*w**3 - 4*w**2 - 10*w + 12.
2*(w - 3)*(w - 1)*(w + 2)
Find x such that -x**4/2 + 115*x**3/2 - 1736*x**2 + 4704*x = 0.
0, 3, 56
Factor -3*p**2/8 + 105*p/4 + 54.
-3*(p - 72)*(p + 2)/8
Factor 2*z**2 + 36*z + 34.
2*(z + 1)*(z + 17)
What is m in -2*m**4/3 + 14*m**3/3 - 22*m**2/3 + 10*m/3 = 0?
0, 1, 5
Factor 36*j**3 + 140*j**2 + 16*j - 240.
4*(j + 2)*(j + 3)*(9*j - 10)
What is h in h**2 - 58*h + 672 = 0?
16, 42
Find c, given that -2*c**5/13 - 152*c**4/13 = 0.
-76, 0
Factor 3*b**2 - 81*b - 270.
3*(b - 30)*(b + 3)
What is a in -a**2/4 + 7*a/2 - 49/4 = 0?
7
Suppose 2*a**3 + 233*a**2/3 - 41*a/3 - 26 = 0. What is a?
-39, -1/2, 2/3
Suppose 9*x**3/7 - 18546*x**2/7 + 1365780*x - 6365400/7 = 0. What is x?
2/3, 1030
Factor i**3/6 + 181*i**2/6 - 1117*i/6 + 935/6.
(i - 5)*(i - 1)*(i + 187)/6
Suppose -i**3/5 + 10*i**2 + 213*i/5 + 162/5 = 0. Wh