 - 222*s**2 = 0. Calculate s.
-2, 0, 1, 111
Determine w so that -w**4/7 + 20*w**3/7 - 90*w**2/7 - 20*w/7 + 13 = 0.
-1, 1, 7, 13
Suppose -2*d**5/3 + 4*d**4/3 + 4*d**3/3 - 16*d**2/3 + 14*d/3 - 4/3 = 0. Calculate d.
-2, 1
Factor t**4/5 - 23*t**3/5 - 5*t**2 + 23*t/5 + 24/5.
(t - 24)*(t - 1)*(t + 1)**2/5
Factor -l**4 + 18*l**3 - 81*l**2.
-l**2*(l - 9)**2
Factor -2*u**2/3.
-2*u**2/3
Factor 8*s**3/3 + 31*s**2/2 + 21*s - 9/2.
(s + 3)**2*(16*s - 3)/6
What is m in 3*m**4/4 + 39*m**3/4 + 45*m**2/4 - 219*m/4 + 33 = 0?
-11, -4, 1
Factor -a**4/5 + 6*a**3/5 + 3*a**2/5 - 56*a/5 + 48/5.
-(a - 4)**2*(a - 1)*(a + 3)/5
Solve -2*w**3/13 + 2*w**2 - 24*w/13 = 0.
0, 1, 12
Factor 4*q**5 + 64*q**4 - 140*q**3 + 72*q**2.
4*q**2*(q - 1)**2*(q + 18)
Let -5*n**5 + 20*n**4 + 15*n**3 - 70*n**2 + 40*n = 0. Calculate n.
-2, 0, 1, 4
Let 33*x**5/8 + 399*x**4/4 + 1629*x**3/8 + 249*x**2/2 + 33*x/2 = 0. Calculate x.
-22, -1, -2/11, 0
Factor q**5/5 - q**4/5 - 2*q**3/5 + 2*q**2/5 + q/5 - 1/5.
(q - 1)**3*(q + 1)**2/5
Solve f**3 + 21*f**2 - 45*f + 23 = 0.
-23, 1
Find t such that 5*t**4 + 75*t**3 + 375*t**2 + 725*t + 420 = 0.
-7, -4, -3, -1
Factor 2*z**2/11 - 146*z/11.
2*z*(z - 73)/11
Let -2*t**3/3 - 112*t**2/9 - 70*t/9 + 4 = 0. Calculate t.
-18, -1, 1/3
Let 9*u**4 - 231*u**3 - 321*u**2 - 81*u = 0. What is u?
-1, -1/3, 0, 27
Find m such that m**2/6 - 4*m = 0.
0, 24
Solve 3*q**2/2 - 8955*q/2 + 4476 = 0.
1, 2984
Factor 2*h**2 - 136*h - 138.
2*(h - 69)*(h + 1)
Factor -z**3/7 + 13*z**2/7 - 6*z.
-z*(z - 7)*(z - 6)/7
Find s such that -2*s**5 + 2*s**4 + 76*s**3 + 68*s**2 - 74*s - 70 = 0.
-5, -1, 1, 7
Factor 2*l**2 + 148*l - 1494.
2*(l - 9)*(l + 83)
Determine p so that -p**3/3 - 31*p**2/3 + 325*p/3 + 11875/3 = 0.
-25, 19
Find l, given that 6*l**4/7 - 26*l**3/7 - 1028*l**2/7 - 4344*l/7 - 2448/7 = 0.
-6, -2/3, 17
Let u**5 - 5*u**4 + 10*u**3 - 10*u**2 + 5*u - 1 = 0. What is u?
1
Factor q**5/2 - 2*q**4 - 3*q**3 + 2*q**2 + 5*q/2.
q*(q - 5)*(q - 1)*(q + 1)**2/2
Factor m**3 + 9*m**2 + 20*m.
m*(m + 4)*(m + 5)
Factor -2*a**2/11 - 14*a/11 + 60/11.
-2*(a - 3)*(a + 10)/11
Factor -7*d**3/11 - 16*d**2/11 - 4*d/11.
-d*(d + 2)*(7*d + 2)/11
Factor 2*s**3/5 - 18*s**2/5 - 68*s/5 - 48/5.
2*(s - 12)*(s + 1)*(s + 2)/5
Determine h, given that -2*h**3 + 228*h**2 + 230*h = 0.
-1, 0, 115
Suppose -2*f**2 + 16*f - 14 = 0. What is f?
1, 7
Factor 4*i**3/5 + 32*i**2/5 - 316*i/5 + 56.
4*(i - 5)*(i - 1)*(i + 14)/5
Factor t**2/8 - 189*t/8 - 191/4.
(t - 191)*(t + 2)/8
Let l**3/7 - 12*l/7 - 16/7 = 0. Calculate l.
-2, 4
Find m such that -2*m**2/7 - 52*m/7 = 0.
-26, 0
Suppose -4*a**4/7 + 180*a**3/7 - 324*a**2 + 756*a = 0. Calculate a.
0, 3, 21
Factor c**4 + 5*c**3 - 42*c**2 + 76*c - 40.
(c - 2)**2*(c - 1)*(c + 10)
Find u such that -8*u**3/3 + 145*u**2/3 + 346*u/3 - 161 = 0.
-3, 1, 161/8
Suppose 16*j**4 - 196*j**3 + 384*j**2 - 244*j + 40 = 0. What is j?
1/4, 1, 10
Let -r**5 - 162*r**4 - 8580*r**3 - 139150*r**2 + 499125*r = 0. Calculate r.
-55, 0, 3
Factor -5*i**2 - 410*i - 8405.
-5*(i + 41)**2
Suppose -2*y**4 + 134*y**3 + 136*y**2 = 0. Calculate y.
-1, 0, 68
Factor y**2/3 - 16/3.
(y - 4)*(y + 4)/3
What is t in 5*t**5 - 5*t**4 - 15*t**3 + 5*t**2 + 10*t = 0?
-1, 0, 1, 2
Determine l, given that -4*l**5 - 104*l**4 - 440*l**3 + 3008*l**2 - 4260*l + 1800 = 0.
-15, 1, 2
Factor 2*p**3/13 - 462*p**2/13 + 35574*p/13 - 913066/13.
2*(p - 77)**3/13
Factor a**2/5 + 23*a - 116/5.
(a - 1)*(a + 116)/5
Determine k so that -k**4/4 - k**3 - k**2/4 + 3*k/2 = 0.
-3, -2, 0, 1
Factor -4*q**2/3 - 68*q + 208/3.
-4*(q - 1)*(q + 52)/3
Factor -4*c**2/5 + 80*c - 396/5.
-4*(c - 99)*(c - 1)/5
Find s, given that 7*s**4 + 93*s**3 - 72*s**2 - 28*s = 0.
-14, -2/7, 0, 1
Factor -4*c**2 - 1708*c - 10104.
-4*(c + 6)*(c + 421)
Factor 2*x**3/7 - 414*x**2/7 + 3456*x - 276480/7.
2*(x - 96)**2*(x - 15)/7
Factor 4*x**2 - 16*x - 128.
4*(x - 8)*(x + 4)
Solve 2*a**5/3 + 28*a**4/3 + 148*a**3/3 + 368*a**2/3 + 142*a + 60 = 0 for a.
-5, -3, -2, -1
Suppose 174*z**5 + 1222*z**4 - 494*z**3 - 9582*z**2 + 8480*z + 200 = 0. Calculate z.
-5, -2/87, 1, 2
Determine i, given that i**5/5 - 5*i**4 + 223*i**3/5 - 791*i**2/5 + 112*i + 320 = 0.
-1, 5, 8
Solve 3*z**2/2 - 3087*z/2 + 1542 = 0 for z.
1, 1028
What is k in -10*k**4 + 205*k**3 - 615*k**2 + 320*k + 340 = 0?
-1/2, 2, 17
Suppose o**4 + 8*o**3 - 35*o**2 - 294*o = 0. What is o?
-7, 0, 6
Factor g**2/2 + 11*g/2.
g*(g + 11)/2
Factor 5*b**3 - 180*b**2 + 1785*b - 5390.
5*(b - 22)*(b - 7)**2
Factor g**2/7 - 261*g/7 - 4140/7.
(g - 276)*(g + 15)/7
Determine h so that 8*h**5/3 + 250*h**4/3 - 202*h**3/3 - 314*h**2/3 + 194*h/3 + 64/3 = 0.
-32, -1, -1/4, 1
Factor 4*k**3 + 456*k**2 - 924*k + 464.
4*(k - 1)**2*(k + 116)
Factor m**4/5 - 6*m**3 - 207*m**2/5 - 64*m - 144/5.
(m - 36)*(m + 1)**2*(m + 4)/5
Factor -2*s**3/9 - 22*s**2/3 - 38*s - 54.
-2*(s + 3)**2*(s + 27)/9
Factor -2*f**4/9 - 28*f**3/9 - 16*f**2 - 320*f/9 - 256/9.
-2*(f + 2)*(f + 4)**3/9
Let 2*u**2/13 - 86*u/13 + 164/13 = 0. Calculate u.
2, 41
Factor -a**4 + 4*a**3 + 12*a**2.
-a**2*(a - 6)*(a + 2)
Factor 10*n**4/3 - 265*n**3 + 5200*n**2 + 8000*n/3.
5*n*(n - 40)**2*(2*n + 1)/3
Find v, given that -v**2 - 115*v - 114 = 0.
-114, -1
Factor -w**4/2 + 324*w**3 - 52163*w**2 - 105300*w - 105625/2.
-(w - 325)**2*(w + 1)**2/2
Factor -85*g**2 + 415*g + 50.
-5*(g - 5)*(17*g + 2)
Factor 5*l**3 + 20*l**2 - 55*l - 150.
5*(l - 3)*(l + 2)*(l + 5)
Suppose -r**4/6 - 19*r**3/6 - 21*r**2/2 - 15*r/2 = 0. Calculate r.
-15, -3, -1, 0
Solve 5*v**2 + 130*v - 280 = 0.
-28, 2
Factor -4*j**2 - 32*j - 28.
-4*(j + 1)*(j + 7)
Let v**5/7 - 13*v**4/7 + 36*v**3/7 = 0. Calculate v.
0, 4, 9
Factor -3*q**4 - 57*q**3 + 123*q**2 - 63*q.
-3*q*(q - 1)**2*(q + 21)
Solve v**4 + 186*v**3 - 755*v**2 + 948*v - 380 = 0 for v.
-190, 1, 2
Let -o**2/8 - 271*o/8 + 345/2 = 0. Calculate o.
-276, 5
Factor -2*p**3 - 140*p**2 + 438*p.
-2*p*(p - 3)*(p + 73)
Factor 2*r**2/9 - 4*r/9.
2*r*(r - 2)/9
Solve 2*o**4/5 + 16*o**3/5 + 46*o**2/5 + 56*o/5 + 24/5 = 0 for o.
-3, -2, -1
Let -k**2/4 + 598*k - 2391/4 = 0. What is k?
1, 2391
Find v such that 40*v**4 + 2*v**3 - 186*v**2/5 + 4*v + 16/5 = 0.
-1, -1/4, 2/5, 4/5
Find p such that 4*p**2 + 496*p + 15376 = 0.
-62
Solve -h**5/2 + 3*h**4/2 + 3*h**3 - 4*h**2 = 0 for h.
-2, 0, 1, 4
Solve 6*j**2/7 - 51*j/7 + 78/7 = 0 for j.
2, 13/2
Find s, given that 3*s**3/8 + 75*s**2/8 + 225*s/8 - 3375/8 = 0.
-15, 5
Factor 3*m**3 - 21*m**2.
3*m**2*(m - 7)
Solve 4*i**2/9 + 2728*i/9 + 465124/9 = 0.
-341
Solve 10*l**5/11 + 124*l**4/11 + 408*l**3/11 - 16*l**2 - 2048*l/11 - 768/11 = 0.
-6, -4, -2/5, 2
Let -v**5/4 + 27*v**4/4 + 31*v**3/4 - 79*v**2/4 - 69*v/2 - 14 = 0. Calculate v.
-1, 2, 28
What is u in -2*u**3/7 + 468*u**2/7 - 3774*u - 16184 = 0?
-4, 119
Factor -k**2/3 + 35*k.
-k*(k - 105)/3
Factor 1764*t**2 - 1848*t + 484.
4*(21*t - 11)**2
Factor 2*a**4/5 - 212*a**3/5 + 5178*a**2/5 + 4664*a + 4840.
2*(a - 55)**2*(a + 2)**2/5
What is n in -3*n**3/2 - 1197*n**2/2 - 1785*n - 1188 = 0?
-396, -2, -1
Determine z, given that -4*z**5 + 32*z**4 - 56*z**3 - 32*z**2 + 60*z = 0.
-1, 0, 1, 3, 5
Factor -2*f**2/13 + 146*f/13 - 420/13.
-2*(f - 70)*(f - 3)/13
Solve 2*w**2/7 - 416*w + 151424 = 0 for w.
728
Find j, given that -4*j**5 - 64*j**4 + 808*j**3 + 928*j**2 - 804*j - 864 = 0.
-24, -1, 1, 9
Suppose -6*y**3 - 71*y**2 - 204*y + 36 = 0. What is y?
-6, 1/6
Factor -25*z**2/4 - 10885*z/4 - 2175/2.
-5*(z + 435)*(5*z + 2)/4
Factor -i**5/4 + 3*i**4/4 - i**3/2 - i**2/2 + 3*i/4 - 1/4.
-(i - 1)**4*(i + 1)/4
Find r such that -18*r**5/13 + 12*r**4/13 + 472*r**3/13 + 592*r**2/13 + 192*r/13 = 0.
-4, -2/3, 0, 6
Factor -45*n**4 + 2890*n**3 - 640*n**2.
-5*n**2*(n - 64)*(9*n - 2)
Determine s, given that 24*s**3 + 333*s**2 + 534*s - 72 = 0.
-12, -2, 1/8
Solve 5*j**2 - 1045*j + 3090 = 0 for j.
3, 206
Factor 4*n**3/9 + 1256*n**2/9 + 19328*n/9 + 76288/9.
4*(n + 8)**2*(n + 298)/9
Suppose -x**4/4 + 47*x**3/4 + 689*x**2/2 + 2365*x + 3450 = 0. Calculate x.
-10, -2, 69
Determine u so that 8*u**3 - 60*u**2 + 112*u - 60 = 0.
1, 3/2, 5
Suppose -20*o**4 + 64*o**3 + 492*o**2 - 584*o - 992 = 0. What is o?
-4, -1, 2, 31/5
Factor -4*v**4 - 4*v**3 + 88*v**2 - 176*v + 96.
-4*(v - 2)**2*(v - 1)*(v + 6)
Suppose -f**2 - 450*f - 50625 = 0. Calculate f.
-225
Factor -2*m**3 + 106*m**2 - 1456*m + 1352.
-2*(m - 26)**2*(m - 1)
Factor -b**4/4 + 2*b**3 + 5*b**2/2 - 2*b - 9/4.
-(b - 9)*(b - 1)*(b +