**2/11 + 72*o/11 - 216/11 = 0. Calculate o.
-6, -3, -2/7, 1/4, 3
Find w such that 2*w**4/3 - 48*w**3 + 184*w**2 - 544*w/3 = 0.
0, 2, 68
Factor -4*s**3 + 548*s**2 - 23904*s + 336960.
-4*(s - 65)*(s - 36)**2
Factor j**2 - 284*j + 283.
(j - 283)*(j - 1)
Factor -l**2 + 29*l + 30.
-(l - 30)*(l + 1)
Suppose -27*o**5 - 333*o**4 + 2823*o**3 + 1149*o**2 - 1656*o + 324 = 0. What is o?
-18, -1, 1/3, 6
Determine d so that d**5/3 + d**4 - 11*d**3/3 - d**2 + 10*d/3 = 0.
-5, -1, 0, 1, 2
Let -p**4/7 - 2*p**3/7 + 2*p/7 + 1/7 = 0. Calculate p.
-1, 1
Factor 3*r**3/2 - 15*r**2 - 207*r/2 - 135.
3*(r - 15)*(r + 2)*(r + 3)/2
Factor 3*i**3 - 2196*i**2 + 401868*i.
3*i*(i - 366)**2
Find p, given that 4*p**5 - 16*p**4 + 8*p**3 + 16*p**2 - 12*p = 0.
-1, 0, 1, 3
Let -4*t**2 - 684*t = 0. Calculate t.
-171, 0
Let v**2/2 - 196*v + 391/2 = 0. Calculate v.
1, 391
Factor 2*y**3 - 34*y**2 + 28*y + 64.
2*(y - 16)*(y - 2)*(y + 1)
Let -3*u**3 - 72*u**2 - 267*u + 342 = 0. Calculate u.
-19, -6, 1
Suppose 28*p**3/9 - 24*p**2 + 128*p/3 + 128/9 = 0. What is p?
-2/7, 4
Find g such that -15*g**2 - 2155*g - 1430 = 0.
-143, -2/3
Factor -j**2/4 - 5817*j/2 - 33837489/4.
-(j + 5817)**2/4
Solve 4*h**3 - 1452*h**2 + 2892*h - 1444 = 0.
1, 361
Factor t**2 + 23*t + 42.
(t + 2)*(t + 21)
Suppose -4*j**2 + 88*j - 468 = 0. What is j?
9, 13
Determine n so that 8*n**4 - 13300*n**3 + 5517816*n**2 + 8320000*n - 5537792 = 0.
-2, 1/2, 832
Factor -4*q**4 - 120*q**3 - 628*q**2 + 4080*q - 4624.
-4*(q - 2)**2*(q + 17)**2
Find j such that -9*j**3 + 102*j**2 - 33*j = 0.
0, 1/3, 11
Factor -f**3 + 209*f**2 + 422*f.
-f*(f - 211)*(f + 2)
Factor y**2/2 + 6*y + 10.
(y + 2)*(y + 10)/2
Let 10*s**4 - 86*s**3 + 24*s**2 + 184*s + 64 = 0. What is s?
-1, -2/5, 2, 8
Suppose 432*p**4 - 648*p**3 - 16380*p**2 - 44278*p - 35152 = 0. Calculate p.
-13/6, 8
Factor 5*i**4/6 + i**3/2 - 16*i**2/3 + 2*i.
i*(i - 2)*(i + 3)*(5*i - 2)/6
Find i such that 32*i**4/9 + 70*i**3/9 + 44*i**2/9 + 2*i/3 = 0.
-1, -3/16, 0
Factor 2*z**3/3 + 32*z**2/3 + 142*z/3 + 112/3.
2*(z + 1)*(z + 7)*(z + 8)/3
Let -n**5 - 27*n**4 - 235*n**3 - 693*n**2 - 484*n = 0. What is n?
-11, -4, -1, 0
Factor -o**3/2 + 7*o**2/6 - 5*o/6 + 1/6.
-(o - 1)**2*(3*o - 1)/6
Solve 4*k**2 + 1222*k - 1842 = 0 for k.
-307, 3/2
Find d such that -d**4 + 30*d**3 - 253*d**2 + 420*d - 196 = 0.
1, 14
Solve -a**3/5 + 312*a**2/5 - 32448*a/5 + 1124864/5 = 0.
104
Let t**3 + 1067*t**2 - 3208*t + 2140 = 0. Calculate t.
-1070, 1, 2
What is i in i**2/6 - 557*i/2 = 0?
0, 1671
Factor -48*k**3 - 24*k**2 - 4*k - 2/9.
-2*(6*k + 1)**3/9
Factor -4*f**3 + 36*f**2 + 192*f + 208.
-4*(f - 13)*(f + 2)**2
Suppose -141*y**2/4 - 147*y/4 - 3/2 = 0. What is y?
-1, -2/47
Let -3*f**5 + 57*f**4 - 303*f**3 + 663*f**2 - 630*f + 216 = 0. Calculate f.
1, 2, 3, 12
Suppose 4107*n**5 + 4773*n**4 + 693*n**3 + 27*n**2 = 0. What is n?
-1, -3/37, 0
Determine x, given that 4*x**3 + 16*x**2 - 464*x - 960 = 0.
-12, -2, 10
Factor 2*a**2/9 - 4*a - 38/9.
2*(a - 19)*(a + 1)/9
What is t in -3*t**4/4 + 3*t**3 + 3*t**2 - 12*t = 0?
-2, 0, 2, 4
Let 5*r**5 - 570*r**4 + 16785*r**3 - 29680*r**2 - 47040*r = 0. What is r?
-1, 0, 3, 56
What is v in 2*v**5/15 - 308*v**4/15 + 122*v**3/3 - 304*v**2/15 = 0?
0, 1, 152
Factor 5*i**2 - 1895*i - 3810.
5*(i - 381)*(i + 2)
Factor -2*d**2 + 252*d - 7938.
-2*(d - 63)**2
What is t in -5*t**3/4 + 105*t**2/2 - 2205*t/4 = 0?
0, 21
Factor 2*n**5/9 - 8*n**4/9 - 22*n**3/9 - 4*n**2/3.
2*n**2*(n - 6)*(n + 1)**2/9
Suppose 45*r**5/4 + 141*r**4/2 - 390*r**3 - 2556*r**2 - 540*r + 648 = 0. Calculate r.
-6, -2/3, 2/5, 6
Let -3*n**3 - 27*n**2 - 72*n - 48 = 0. Calculate n.
-4, -1
Suppose -2*g**2/7 - 1298*g/7 + 1300/7 = 0. Calculate g.
-650, 1
Solve -2*a**2 + 24*a - 40 = 0.
2, 10
Factor -36963*d**3 - 111555*d**2 - 2001*d - 9.
-3*(d + 3)*(111*d + 1)**2
Solve -25*p**4/7 + 276*p**3/7 - 486*p**2/7 + 244*p/7 - 9/7 = 0.
1/25, 1, 9
Suppose 4*u**3/7 - 62*u**2/7 - 32*u/7 = 0. Calculate u.
-1/2, 0, 16
Determine a so that 4*a**3 - 276*a**2 + 1532*a - 1260 = 0.
1, 5, 63
Factor -9*u**3/5 - 87*u**2/5 - 51*u/5 + 27/5.
-3*(u + 1)*(u + 9)*(3*u - 1)/5
Factor -4*d**4 - 284*d**3 - 4896*d**2 + 5184*d.
-4*d*(d - 1)*(d + 36)**2
Suppose 14*q**5/5 + 87*q**4/5 + 9*q**3/5 - 52*q**2/5 + 12*q/5 = 0. Calculate q.
-6, -1, 0, 2/7, 1/2
Solve 5*i**5 + 2215*i**4 + 6615*i**3 + 6605*i**2 + 2200*i = 0 for i.
-440, -1, 0
Factor v**5 - 128*v**4 - 393*v**3 - 4*v**2 + 524*v.
v*(v - 131)*(v - 1)*(v + 2)**2
Factor -p**5/5 + p**4 - 2*p**3 + 2*p**2 - p + 1/5.
-(p - 1)**5/5
Factor a**3 + 5336*a**2/7 + 1017651*a/7 + 290322/7.
(a + 381)**2*(7*a + 2)/7
Factor g**2/4 + 11*g + 121.
(g + 22)**2/4
Factor -p**2/5 - 252*p/5.
-p*(p + 252)/5
Factor b**3 - 323*b**2 - b + 323.
(b - 323)*(b - 1)*(b + 1)
Factor 3*l**5 + 126*l**4 + 351*l**3.
3*l**3*(l + 3)*(l + 39)
Factor w**3/2 + 327*w**2 + 53790*w + 106276.
(w + 2)*(w + 326)**2/2
Suppose 2*c**5/11 + 26*c**4/11 - 298*c**3/11 + 774*c**2/11 - 504*c/11 = 0. What is c?
-21, 0, 1, 3, 4
Factor -3*u**3/4 + 155*u**2/2 - 2641*u/4 + 423/2.
-(u - 94)*(u - 9)*(3*u - 1)/4
Factor y**5 + 17*y**4 + 67*y**3 + 87*y**2 + 36*y.
y*(y + 1)**2*(y + 3)*(y + 12)
Find r, given that 164*r**2 - 1156*r + 56 = 0.
2/41, 7
Find w, given that 2*w**3 - 2*w**2 - 188*w - 352 = 0.
-8, -2, 11
Find m such that -4*m**4 - 924*m**3 + 12*m**2 + 2780*m + 1848 = 0.
-231, -1, 2
Let -10*n**4/3 + 2*n**3 + 8*n**2 + 8*n/3 = 0. Calculate n.
-1, -2/5, 0, 2
Determine r, given that -r**4 - 20*r**3 - 54*r**2 + 972*r + 5103 = 0.
-9, 7
Let -l**2/3 - 23*l/3 + 8 = 0. What is l?
-24, 1
Determine r, given that -r**2/3 + 7*r + 22/3 = 0.
-1, 22
Solve 2*b**5 + 48*b**4 - 358*b**3 + 108*b**2 + 1472*b + 960 = 0.
-30, -1, 4
Factor -2*p**3/13 - 24*p**2/13 + 54*p/13 - 28/13.
-2*(p - 1)**2*(p + 14)/13
Find p, given that 2*p**5 - 98*p**4 + 910*p**3 + 7682*p**2 - 3672*p - 29160 = 0.
-5, -2, 2, 27
Let 3*a**3 - 93*a**2 + 252*a = 0. What is a?
0, 3, 28
Factor -3*h**2/7 + 24*h + 531/7.
-3*(h - 59)*(h + 3)/7
Let -x**2/2 + 5805*x/4 + 2903/4 = 0. Calculate x.
-1/2, 2903
Determine j so that 2*j**2/13 - 1852*j/13 + 428738/13 = 0.
463
Factor 4*f**3 - 68*f**2 - 320*f - 336.
4*(f - 21)*(f + 2)**2
What is y in 5*y**4 - 20*y**3 - 15*y**2 + 50*y + 40 = 0?
-1, 2, 4
Solve c**2 + 2*c = 0.
-2, 0
Find d such that 110*d**2/3 + 137*d/9 + 2/9 = 0.
-2/5, -1/66
Solve -4*g**5 + 12*g**4 - 8*g**3 = 0.
0, 1, 2
Determine n, given that 4*n**3/7 + 184*n**2/7 + 180*n/7 = 0.
-45, -1, 0
What is x in -14*x**5/9 - 62*x**4/3 - 710*x**3/9 - 226*x**2/3 - 140*x/9 = 0?
-7, -5, -1, -2/7, 0
Determine a, given that 2*a**4 - 36*a**3 - 2*a**2 + 36*a = 0.
-1, 0, 1, 18
Let -8*z**5 - 152*z**4 + 166*z**3 + 116*z**2 - 82*z - 40 = 0. Calculate z.
-20, -1/2, 1
Suppose -2*z**3/5 - 954*z**2/5 - 22848*z - 113288/5 = 0. Calculate z.
-238, -1
Suppose t**2 - 215*t = 0. Calculate t.
0, 215
Find p, given that 14045*p**2 + 9010*p + 1445 = 0.
-17/53
Factor 4*u**4 - 220*u**3 + 2400*u**2 + 18000*u.
4*u*(u - 30)**2*(u + 5)
Suppose -u**5 - 15*u**4 - 47*u**3 - 29*u**2 + 48*u + 44 = 0. What is u?
-11, -2, -1, 1
Factor -3*n**2/5 + 144*n/5.
-3*n*(n - 48)/5
Determine y, given that -16*y**4/15 - 422*y**3/15 - 556*y**2/15 - 10*y = 0.
-25, -1, -3/8, 0
Factor -f**2/7 - 29*f/7 + 30/7.
-(f - 1)*(f + 30)/7
Factor -c**3/3 + 4*c**2 + 43*c/3 + 10.
-(c - 15)*(c + 1)*(c + 2)/3
Factor -i**5/9 - 32*i**4/9 - 124*i**3/3 - 198*i**2 - 243*i + 486.
-(i - 1)*(i + 6)*(i + 9)**3/9
Determine g so that 2*g**5/13 - 24*g**4/13 - 952*g**3/13 + 16320*g**2/13 - 4096*g + 49152/13 = 0.
-24, 2, 16
Determine f so that 2*f**5/7 + 8*f**4/7 - 4*f**3/7 - 16*f**2/7 + 2*f/7 + 8/7 = 0.
-4, -1, 1
Factor -4*s**4 - 20*s**3 - 12*s**2 + 20*s + 16.
-4*(s - 1)*(s + 1)**2*(s + 4)
Factor 2*j**2/7 - 12*j/7 - 32/7.
2*(j - 8)*(j + 2)/7
Solve 2*w**2 + 58*w = 0 for w.
-29, 0
Factor 2*u**4/7 + 482*u**3/7 + 4114*u**2 - 29282*u/7.
2*u*(u - 1)*(u + 121)**2/7
Solve -2*v**2 - 212*v + 214 = 0 for v.
-107, 1
Solve -2*f**3/11 - 38*f**2/11 = 0 for f.
-19, 0
Find u such that -15*u**4 + 130*u**3 - 65*u**2 - 130*u + 80 = 0.
-1, 2/3, 1, 8
Factor 4*k**2 + 272*k - 276.
4*(k - 1)*(k + 69)
Factor -2*c**4/5 + 2*c**3 - 4*c**2/5 - 16*c/5.
-2*c*(c - 4)*(c - 2)*(c + 1)/5
Factor 2*q**4/7 + 4*q**3/7 - 22*q**2/7 - 24*q/7.
2*q*(q - 3)*(q + 1)*(q + 4)/7
Factor -2*i**2 - 8*i - 6.
-2*(i + 1)*(i + 3)
Factor -h**4/5 + 49*h**3/5 + 51*h**2/5 - 49*h/5 - 10.
-(h - 50)*