 - 6*t = 0.
-5, -2, 0, 1
Factor 5*i**3 - 1270*i**2 - 3855*i.
5*i*(i - 257)*(i + 3)
Factor 2*z**3/9 + 754*z**2/9 + 71440*z/9 + 70688/9.
2*(z + 1)*(z + 188)**2/9
Let -k**2 + 92*k = 0. What is k?
0, 92
Solve 3*a**3 - 39*a**2 + 57*a + 99 = 0.
-1, 3, 11
Factor -4*s**4 + 4*s**3 + 16*s**2 - 16*s.
-4*s*(s - 2)*(s - 1)*(s + 2)
Find g, given that 3*g**4 - 120*g**3 + 231*g**2 - 114*g = 0.
0, 1, 38
Suppose -48*s**5 + 24*s**4 + 597*s**3 + 291*s**2 + 36*s = 0. What is s?
-3, -1/4, 0, 4
Suppose 14*a**3 - 1720*a**2 - 246*a = 0. What is a?
-1/7, 0, 123
Factor 93*g**3/8 + 567*g**2/8 + 27*g/4.
3*g*(g + 6)*(31*g + 3)/8
Factor r**2 + 1954*r + 954529.
(r + 977)**2
Factor 3*z**3 - 12*z**2 - 3*z + 12.
3*(z - 4)*(z - 1)*(z + 1)
Factor -2*z**2 - 240*z + 242.
-2*(z - 1)*(z + 121)
Suppose g**4/4 + 11*g**3/2 + 25*g**2/4 - 75*g = 0. What is g?
-20, -5, 0, 3
Factor 50*d**3/3 + 11740*d**2/3 + 9368*d/3 + 624.
2*(d + 234)*(5*d + 2)**2/3
What is g in -2*g**4 + 18*g**3 - 22*g**2 - 42*g = 0?
-1, 0, 3, 7
Factor -4*r**3 + 17*r**2 - 20*r + 4.
-(r - 2)**2*(4*r - 1)
Factor -2*d**3/9 + 118*d**2 + 710*d/3 + 1066/9.
-2*(d - 533)*(d + 1)**2/9
Suppose -r**5/10 + r**4/10 + 3*r**3/5 - 2*r**2/5 - 4*r/5 = 0. What is r?
-2, -1, 0, 2
Factor 2*m**3/17 + 10*m**2/17 - 148*m/17 + 240/17.
2*(m - 5)*(m - 2)*(m + 12)/17
Factor 5*d**3 + 360*d**2 - 375*d - 730.
5*(d - 2)*(d + 1)*(d + 73)
Factor -r**2/4 + r/4 + 1/2.
-(r - 2)*(r + 1)/4
Suppose -2*q**3/3 + 338*q**2 - 57122*q + 9653618/3 = 0. What is q?
169
Factor z**2 - 41*z + 78.
(z - 39)*(z - 2)
Suppose v**2/5 - 56*v/5 = 0. Calculate v.
0, 56
Factor 4*o**3 - 604*o**2 + 23680*o - 65712.
4*(o - 74)**2*(o - 3)
Factor q**2/3 + 14*q/3 - 24.
(q - 4)*(q + 18)/3
Factor 2*a**2/9 - 64*a/3 + 190/9.
2*(a - 95)*(a - 1)/9
Factor -2*u**3/5 + 64*u**2 + 2*u/5 - 64.
-2*(u - 160)*(u - 1)*(u + 1)/5
Factor 2*l**3/11 - 244*l**2/11 + 482*l/11 - 240/11.
2*(l - 120)*(l - 1)**2/11
Factor f**2 - 3052*f + 2328676.
(f - 1526)**2
Determine s, given that 4*s**5 + 220*s**4 + 428*s**3 + 212*s**2 = 0.
-53, -1, 0
Find n, given that -5*n**2 + 220*n - 215 = 0.
1, 43
Suppose 60*u**5 + 116*u**4 - 676*u**3 - 692*u**2 + 136*u + 96 = 0. What is u?
-4, -1, -1/3, 2/5, 3
Factor 2*v**4 + 18*v**3 + 14*v**2 - 18*v - 16.
2*(v - 1)*(v + 1)**2*(v + 8)
Suppose m**3 - 10*m**2 + 27*m - 18 = 0. What is m?
1, 3, 6
Let -8*j**4/5 + 6*j**3 - 16*j**2/5 - 6*j/5 = 0. Calculate j.
-1/4, 0, 1, 3
Determine d, given that 2*d**3/17 + 1068*d**2/17 + 142578*d/17 = 0.
-267, 0
Factor 3*u**3 + 36*u**2 - 180*u + 192.
3*(u - 2)**2*(u + 16)
Let -2*i**2/3 - 22580*i/3 - 63732050/3 = 0. What is i?
-5645
Let 5*v**3 - 15*v**2 + 15*v - 5 = 0. What is v?
1
Find j such that -6*j**2/11 + 54*j/11 + 216/11 = 0.
-3, 12
Suppose 28*v**4 + 3716*v**3 + 6300*v**2 + 1564*v - 1048 = 0. Calculate v.
-131, -1, 2/7
Suppose 2*h**5 + 30*h**4 + 122*h**3 + 42*h**2 - 196*h = 0. What is h?
-7, -2, 0, 1
Find s, given that s**2/11 - 323*s/11 + 960/11 = 0.
3, 320
Suppose 2*v**2/9 - 164*v/9 - 170/3 = 0. Calculate v.
-3, 85
Determine r so that -33*r**3 + 423*r**2 - 912*r - 180 = 0.
-2/11, 3, 10
Factor -578*w**3/5 + 544*w**2/5 + 1062*w/5 + 324/5.
-2*(w - 2)*(17*w + 9)**2/5
Solve 4*u**2 - 916*u = 0 for u.
0, 229
Factor g**3 - 22*g**2 - 168*g.
g*(g - 28)*(g + 6)
Factor 7*w**3/11 + 103*w**2/11 + 68*w/11 - 28/11.
(w + 1)*(w + 14)*(7*w - 2)/11
Find f such that -f**2 + 22*f + 75 = 0.
-3, 25
Factor 2*d**3/17 - 10*d**2/17 + 12*d/17.
2*d*(d - 3)*(d - 2)/17
Factor 3*w**2 + 153*w + 564.
3*(w + 4)*(w + 47)
What is n in 3*n**2/4 + 207*n/4 - 555/2 = 0?
-74, 5
Factor -4*k**4 - 112*k**3 - 484*k**2 - 552*k.
-4*k*(k + 2)*(k + 3)*(k + 23)
Factor 25*t**3/8 + 10*t**2 + 69*t/8 + 9/4.
(t + 2)*(5*t + 3)**2/8
Solve -7*p**5/6 - 131*p**4/6 - 907*p**3/6 - 2705*p**2/6 - 1325*p/3 + 500/3 = 0.
-5, -4, 2/7
Determine c so that 5*c**5 + 55*c**4 + 115*c**3 - 235*c**2 - 120*c + 180 = 0.
-6, -1, 1
Factor 4*k**3/3 + 16*k**2 - 400*k/3 + 192.
4*(k - 4)*(k - 2)*(k + 18)/3
What is f in -3*f**5 - 12*f**4 + 6*f**3 + 24*f**2 - 3*f - 12 = 0?
-4, -1, 1
What is f in 4*f**2 - 16*f = 0?
0, 4
Factor 4*j**4 - 4*j**2.
4*j**2*(j - 1)*(j + 1)
Find p, given that p**3/3 - 13*p**2/3 + 13*p - 9 = 0.
1, 3, 9
Factor -2*p**3/3 - 22*p**2/3 + 50*p/3 - 26/3.
-2*(p - 1)**2*(p + 13)/3
Let -j**2/2 + 2175*j - 4730625/2 = 0. Calculate j.
2175
Factor -4*n**2 - 60*n - 144.
-4*(n + 3)*(n + 12)
Determine u so that -2*u**2 - 8*u - 6 = 0.
-3, -1
Determine h so that -5*h**3 + 35*h**2 - 75*h + 45 = 0.
1, 3
What is r in 3*r**4 - 48*r**3 + 231*r**2 - 330*r + 144 = 0?
1, 6, 8
Suppose 2*l**5/9 - 28*l**4/3 - 14*l**3/9 + 200*l**2/3 - 56*l = 0. What is l?
-3, 0, 1, 2, 42
Solve y**4/3 + y**3 - 3*y**2 - 9*y = 0.
-3, 0, 3
Factor -2*s**2/3 + 16*s/9 + 2/3.
-2*(s - 3)*(3*s + 1)/9
Factor 5*o**3 - 65*o**2 + 80*o + 960.
5*(o - 8)**2*(o + 3)
Factor 3*r**2/2 + 702*r - 1407/2.
3*(r - 1)*(r + 469)/2
Find h, given that h**5 - 3*h**4 - 35*h**3 - 45*h**2 + 34*h + 48 = 0.
-3, -2, -1, 1, 8
Factor -m**4/4 + m**3/8 + m**2/4 - m/8.
-m*(m - 1)*(m + 1)*(2*m - 1)/8
Factor 27*x**4 - 126*x**3 + 183*x**2 - 84*x + 12.
3*(x - 2)**2*(3*x - 1)**2
Let -5*c**4 - 5*c**3 + 35*c**2 + 65*c + 30 = 0. Calculate c.
-2, -1, 3
Let 2*r**4/13 + 172*r**3/13 - 712*r**2/13 + 720*r/13 = 0. Calculate r.
-90, 0, 2
Factor -3*i**4/4 + 93*i**3/4 - 165*i**2.
-3*i**2*(i - 20)*(i - 11)/4
Determine h so that 2*h**2/7 - 200*h/7 + 5000/7 = 0.
50
Factor x**2/2 - 2497*x + 6235009/2.
(x - 2497)**2/2
Factor -2*u**4/9 + 698*u**3/9 - 61934*u**2/9 + 59858*u/3.
-2*u*(u - 173)**2*(u - 3)/9
Find h, given that -4*h**5/11 - 26*h**4/11 + 90*h**3/11 - 10*h**2/11 - 86*h/11 + 36/11 = 0.
-9, -1, 1/2, 1, 2
Let 10*j**2/13 - 974*j/13 + 388/13 = 0. What is j?
2/5, 97
What is x in -15*x**3/4 - 339*x**2/4 + 687*x - 261 = 0?
-29, 2/5, 6
Solve -2*b**3/13 - 2878*b**2/13 - 1033920*b/13 + 1036800/13 = 0 for b.
-720, 1
Determine y, given that -3*y**2 - 234*y + 2640 = 0.
-88, 10
Factor -2*w**3/9 - 20*w**2/3 - 182*w/3 - 1352/9.
-2*(w + 4)*(w + 13)**2/9
Suppose -3*i**3 + 105*i**2 + 108*i = 0. Calculate i.
-1, 0, 36
What is c in 3*c**3 - 30*c**2 - 75*c + 750 = 0?
-5, 5, 10
Factor 2*m**3/19 + 1176*m**2/19 + 230496*m/19 + 15059072/19.
2*(m + 196)**3/19
Determine o so that 3*o**4 - 142*o**3 + 1624*o**2 + 1536*o - 4608 = 0.
-2, 4/3, 24
Factor 6*h**3/7 - 96*h**2/7 - 456*h/7 - 480/7.
6*(h - 20)*(h + 2)**2/7
Find v, given that 3*v**4/5 + 6*v**3/5 - 3*v**2/5 - 6*v/5 = 0.
-2, -1, 0, 1
Factor 2*b**4 + 106*b**3 + 306*b**2 + 302*b + 100.
2*(b + 1)**3*(b + 50)
Factor -2*z**2/5 + 2342*z/5 + 2344/5.
-2*(z - 1172)*(z + 1)/5
Let -y**4 + 9*y**3 - 6*y**2 - 16*y = 0. What is y?
-1, 0, 2, 8
Find a such that -a**2/3 + 260*a/3 - 992 = 0.
12, 248
Factor -p**4/8 + 7*p**3/8 + p**2/2 - 7*p/2.
-p*(p - 7)*(p - 2)*(p + 2)/8
Factor -2*q**2 - 82*q - 156.
-2*(q + 2)*(q + 39)
Factor 5*n**2/8 - 229*n/8 - 23/4.
(n - 46)*(5*n + 1)/8
Factor -2*b**2/9 + 710*b/9.
-2*b*(b - 355)/9
Factor 4*j**2 - 824*j + 42436.
4*(j - 103)**2
Factor -2*j**3 + 700*j**2 - 61250*j.
-2*j*(j - 175)**2
Find l, given that 2*l**2/3 + 340*l/3 + 338/3 = 0.
-169, -1
Determine h so that -5408*h**5/9 - 16016*h**4/9 - 15602*h**3/9 - 4790*h**2/9 + 202*h/9 - 2/9 = 0.
-1, 1/52
Solve -2*k**2/3 - 56*k/3 - 88 = 0 for k.
-22, -6
Factor -5*d**2 - 95*d + 330.
-5*(d - 3)*(d + 22)
Find y such that -5*y**2 - 175*y - 330 = 0.
-33, -2
Suppose 5*t**2 - 280*t - 885 = 0. What is t?
-3, 59
Find j, given that -4*j**2 + 60*j + 64 = 0.
-1, 16
Factor 2*o**4/13 - 6*o**2/13 - 4*o/13.
2*o*(o - 2)*(o + 1)**2/13
Factor 2*f**3 + 6*f**2 - 2*f - 6.
2*(f - 1)*(f + 1)*(f + 3)
Factor 112*r**3/13 - 6274*r**2/13 + 87920*r/13 - 1568/13.
2*(r - 28)**2*(56*r - 1)/13
Factor -30*t**5 + 416*t**4 - 1414*t**3 - 196*t**2.
-2*t**2*(t - 7)**2*(15*t + 2)
Factor x**4 - 315*x**3 + 627*x**2 - 313*x.
x*(x - 313)*(x - 1)**2
Factor 13*s**5 + 752*s**4 + 10817*s**3 - 1682*s**2.
s**2*(s + 29)**2*(13*s - 2)
Suppose 2*z**4/3 - 916*z**3/3 + 1814*z**2/3 + 1524*z - 1824 = 0. Calculate z.
-2, 1, 3, 456
Factor -2*x**4 - 32*x**3 + 34*x**2.
-2*x**2*(x - 1)*(x + 17)
Factor 18*s**3 + 148*s**2 + 32*s.
2*s*(s + 8)*(9*s + 2)
Suppose -4*u**3/7 + 12*u**2 - 360*u/7 = 0. Calculate u.
0, 6, 15
Factor 2*n**5/3 + 20*n**4/3 - 24*n**3 + 76*n**2/3 - 26*n/3.
2*n*(n - 1)**3*(n + 13)/3
Factor 2*x**3 - 252*x**2 + 496*x.
2*x*(x - 124)*(x - 2)
Factor 2*m**3/5 - 62*m**2/5 - 58*m + 70.
2