 3
Find c such that -49*c**4/9 + 154*c**3/3 + 92*c**2/3 + 40*c/9 = 0.
-2/7, 0, 10
Factor -2*j**5/5 - 2*j**4 - 14*j**3/5 - 6*j**2/5.
-2*j**2*(j + 1)**2*(j + 3)/5
Factor 2*a**2 - 42*a - 2900.
2*(a - 50)*(a + 29)
Factor -q**2/2 + 53*q/2 + 55.
-(q - 55)*(q + 2)/2
Factor -2*s**3/7 - 46*s**2/7 + 152*s/7 - 104/7.
-2*(s - 2)*(s - 1)*(s + 26)/7
Factor 2*k**4 - 32*k**3 - 76*k**2 + 624*k + 1530.
2*(k - 17)*(k - 5)*(k + 3)**2
Solve 830*u**3 - 3335*u**2 + 3380*u - 60 = 0 for u.
3/166, 2
Find i, given that 4*i**4/3 + 4*i**3/3 - 40*i**2/3 + 32*i/3 = 0.
-4, 0, 1, 2
Factor -3*y**3 - 57*y**2 - 270*y.
-3*y*(y + 9)*(y + 10)
Factor -d**3 - 42*d**2.
-d**2*(d + 42)
Suppose 4*x**2/5 - 32*x/5 - 336/5 = 0. What is x?
-6, 14
Factor -3*d**3/5 - 24*d**2/5 - 27*d/5 + 54/5.
-3*(d - 1)*(d + 3)*(d + 6)/5
Factor -k**2 - 89*k - 174.
-(k + 2)*(k + 87)
Factor -2*j**2/11 - 108*j/11 + 10.
-2*(j - 1)*(j + 55)/11
Determine m, given that -3*m**2 + 84*m + 87 = 0.
-1, 29
Factor 3*l**2 + 3*l - 18.
3*(l - 2)*(l + 3)
Find s, given that 5*s**3 + 60*s**2 - 65*s = 0.
-13, 0, 1
Factor 1922*u**2/9 + 1612*u/9 + 338/9.
2*(31*u + 13)**2/9
What is p in -2*p**2/5 + 116*p/15 - 38/15 = 0?
1/3, 19
Find d such that d**5/2 + 37*d**4/2 = 0.
-37, 0
Find m such that -22*m**3/7 + 106*m**2 + 3548*m/7 + 912/7 = 0.
-4, -3/11, 38
Suppose r**2/5 + 8*r/5 - 21 = 0. What is r?
-15, 7
Suppose -6*g**5/13 + 22*g**4/13 + 456*g**3/13 - 792*g**2/13 + 320*g/13 = 0. Calculate g.
-8, 0, 2/3, 1, 10
Suppose l**4 - 3*l**3 - 3*l**2 + 7*l + 6 = 0. What is l?
-1, 2, 3
Factor -4*c**4 + 20*c**3 - 12*c**2 - 36*c.
-4*c*(c - 3)**2*(c + 1)
Factor 3*r**3/5 + 39*r**2/5 + 21*r - 147/5.
3*(r - 1)*(r + 7)**2/5
Find d such that 6*d**5/7 + 26*d**4/7 + 26*d**3/7 + 6*d**2/7 = 0.
-3, -1, -1/3, 0
Solve 2*z**3/9 + 20*z**2/9 + 8*z/3 - 16 = 0 for z.
-6, 2
Determine p, given that -3*p**4/2 - 675*p**3/2 - 19152*p**2 - 18816*p = 0.
-112, -1, 0
Suppose 5*s**4/3 + 95*s**3/3 + 50*s**2/3 - 260*s - 360 = 0. Calculate s.
-18, -2, 3
Solve 4*q**3/9 + 164*q**2/9 + 1520*q/9 + 3712/9 = 0 for q.
-29, -8, -4
Find j such that -j**3 - 20*j**2 - 99*j = 0.
-11, -9, 0
What is p in -2*p**3/11 + 50*p**2/11 + 52*p/11 = 0?
-1, 0, 26
Factor -2*a**2/7 - 1152*a/7 - 165888/7.
-2*(a + 288)**2/7
Determine k so that 5*k**5 + 20*k**4 - 30*k**3 - 20*k**2 + 25*k = 0.
-5, -1, 0, 1
Let 147*a**5 + 378*a**4 - 555*a**3 - 1278*a**2 - 564*a - 72 = 0. Calculate a.
-3, -1, -2/7, 2
Suppose 3*n**4/5 - 51*n**3/5 - 126*n**2/5 + 204*n/5 + 456/5 = 0. What is n?
-2, 2, 19
Let 2*y**5/3 - 400*y**4 + 2392*y**3/3 = 0. Calculate y.
0, 2, 598
Determine h so that -5*h**5 + 27145*h**4 - 36828975*h**3 - 36856125*h**2 = 0.
-1, 0, 2715
Factor -5*y**3/3 + 20*y**2/3 + 5*y - 30.
-5*(y - 3)**2*(y + 2)/3
Find k such that -2*k**3/9 - 14*k**2/9 + 44*k/3 + 16 = 0.
-12, -1, 6
Solve -g**5 + 11*g**4/2 + 20*g**3 + 5*g**2/2 - 19*g - 8 = 0.
-2, -1, -1/2, 1, 8
Let -84*h**3 + 13616*h**2 - 552420*h + 52488 = 0. What is h?
2/21, 81
Determine m, given that 5*m**2 + 510*m + 1960 = 0.
-98, -4
Let 15*w**4 + 148*w**3 - 20*w**2 = 0. What is w?
-10, 0, 2/15
Let d**2/3 + 7*d/2 + 5/3 = 0. Calculate d.
-10, -1/2
Factor -8*m**4 + 4*m**3 + 4*m**2.
-4*m**2*(m - 1)*(2*m + 1)
Determine m so that 4*m**3/3 + 2554*m**2 + 1222408*m - 1835528/3 = 0.
-958, 1/2
Determine b so that 49*b**5/4 - 238*b**4 - 1315*b**3 - 692*b**2 - 96*b = 0.
-4, -2/7, 0, 24
Factor -m**2/2 + 270*m + 541/2.
-(m - 541)*(m + 1)/2
Factor -2*x**3/9 + 26*x**2/9 + 338*x/9 - 4394/9.
-2*(x - 13)**2*(x + 13)/9
Factor -r**5/5 + 223*r**4/5 - 18592*r**3/5 + 683648*r**2/5 - 9132032*r/5 - 9834496/5.
-(r - 56)**4*(r + 1)/5
Factor -7*w**3/8 - 341*w**2/8 - 721*w/4 + 55.
-(w + 5)*(w + 44)*(7*w - 2)/8
Factor -4*k**3/7 - 108*k**2/7 + 228*k/7 - 116/7.
-4*(k - 1)**2*(k + 29)/7
Suppose 2*h**4 + 32*h**3 - 70*h**2 + 36*h = 0. What is h?
-18, 0, 1
Solve -14*o**2 + 206*o + 60 = 0.
-2/7, 15
Factor -o**2/8 - 5*o/8 + 33/4.
-(o - 6)*(o + 11)/8
Let 6*z**4/19 + 64*z**3/19 + 134*z**2/19 + 44*z/19 - 32/19 = 0. What is z?
-8, -2, -1, 1/3
Factor -2*p**2 + 840*p + 2538.
-2*(p - 423)*(p + 3)
What is j in 5*j**5 + 190*j**4 + 2300*j**3 + 9640*j**2 + 16640*j + 10240 = 0?
-16, -2
Determine r, given that 38*r**2 - 5400*r + 568 = 0.
2/19, 142
Suppose m**4 - 27*m**3/2 - 22*m**2 - 15*m/2 = 0. Calculate m.
-1, -1/2, 0, 15
Factor -20*i**4 - 1715*i**3 + 430*i**2.
-5*i**2*(i + 86)*(4*i - 1)
Find f such that 2*f**5 - 16*f**3 - 12*f**2 + 14*f + 12 = 0.
-2, -1, 1, 3
Let -3*c**4 - 673*c**3/7 + 656*c**2/7 - 132*c/7 = 0. What is c?
-33, 0, 2/7, 2/3
Suppose -4*t**2 + 304*t + 308 = 0. What is t?
-1, 77
Solve n**2/4 + 2*n = 0.
-8, 0
Factor 3*j**4/4 - 27*j**3/2 + 279*j**2/4 - 60*j - 144.
3*(j - 8)**2*(j - 3)*(j + 1)/4
Solve -s**4 - s**3 + 8*s**2 + 12*s = 0 for s.
-2, 0, 3
Solve -2*h**5/3 - 50*h**4/3 + 74*h**3 - 286*h**2/3 + 116*h/3 = 0 for h.
-29, 0, 1, 2
Factor 3*v**5 - 63*v**4 + 243*v**3 + 2187*v**2 - 13122*v.
3*v*(v - 9)**3*(v + 6)
Determine d so that 676*d**4/3 + 728*d**3 + 16*d**2 - 1160*d/3 + 100 = 0.
-3, -1, 5/13
Factor -6*x**3 + 34*x**2 - 20*x.
-2*x*(x - 5)*(3*x - 2)
Let 9*c**3 + 150*c**2 - 57*c - 102 = 0. Calculate c.
-17, -2/3, 1
Factor 50*j**3 - 510*j**2 + 1248*j - 896.
2*(j - 7)*(5*j - 8)**2
Factor 2*j**2/3 - 318*j + 952/3.
2*(j - 476)*(j - 1)/3
Suppose -64*j**3 - 124*j**2 - 56*j + 4 = 0. Calculate j.
-1, 1/16
Find v, given that 3*v**2 - 390*v + 12675 = 0.
65
Factor -p**4/2 - 29*p**3 + 60*p**2.
-p**2*(p - 2)*(p + 60)/2
Solve -k**5 + 33*k**4 + 197*k**3 - 261*k**2 - 196*k + 228 = 0.
-6, -1, 1, 38
Factor 2*s**3/7 - 176*s**2/7 + 3872*s/7.
2*s*(s - 44)**2/7
Determine s, given that -2*s**2/5 - 18*s/5 - 8 = 0.
-5, -4
Factor -4*j**2/5 + 66728*j/5 - 278289124/5.
-4*(j - 8341)**2/5
Factor -2*x**5 + 28*x**4 + 132*x**3 + 208*x**2 + 142*x + 36.
-2*(x - 18)*(x + 1)**4
Find u such that 4*u**4 + 776*u**3 - 2352*u**2 + 2360*u - 788 = 0.
-197, 1
Factor 3*q**3/5 + 93*q**2/5 + 174*q/5.
3*q*(q + 2)*(q + 29)/5
Factor -i**4/6 - 14*i**3/3 + 10*i**2.
-i**2*(i - 2)*(i + 30)/6
Factor -o**5/4 - 6*o**4 - 22*o**3 + 168*o**2 - 196*o.
-o*(o - 2)**2*(o + 14)**2/4
Factor -j**4 + 75*j**3 - 1632*j**2 + 8092*j.
-j*(j - 34)**2*(j - 7)
Factor s**4/5 - 24*s**3/5 - 79*s**2/5 - 54*s/5.
s*(s - 27)*(s + 1)*(s + 2)/5
Factor -3*o**4 + 405*o**3 + 3*o**2 - 405*o.
-3*o*(o - 135)*(o - 1)*(o + 1)
Determine t, given that 3*t**2 + 132*t - 1620 = 0.
-54, 10
Factor -20*x**3 + 8675*x**2 - 6490*x - 2165.
-5*(x - 433)*(x - 1)*(4*x + 1)
Solve -4*f**4 - 8*f**3 + 16*f**2 + 8*f - 12 = 0.
-3, -1, 1
Find j, given that 288*j**5 - 168*j**4 - 682*j**3 - 507*j**2/2 - 57*j/2 - 1 = 0.
-1, -1/4, -1/12, 2
Solve -7*c**3/6 - 19*c**2/3 - 55*c/6 - 4 = 0.
-24/7, -1
Let -2*l**3 + 60*l**2 + 264*l + 272 = 0. What is l?
-2, 34
Factor 2*h**3/13 - 10*h**2/13 - 44*h/13 - 32/13.
2*(h - 8)*(h + 1)*(h + 2)/13
Let a**2/3 + 46*a + 1587 = 0. Calculate a.
-69
Find s such that -2025*s**2/11 - 90*s/11 - 1/11 = 0.
-1/45
Factor -2*v**2 + 30*v + 432.
-2*(v - 24)*(v + 9)
Factor -4*n**2 - 816*n - 812.
-4*(n + 1)*(n + 203)
Let -2*o**2/3 - 80*o/3 + 56 = 0. Calculate o.
-42, 2
Factor -n**3/5 + 22*n**2/5 + 23*n/5.
-n*(n - 23)*(n + 1)/5
Factor 2*d**2/9 - 668*d/3 + 55778.
2*(d - 501)**2/9
Factor -h**2/5 - 17*h/5 - 6.
-(h + 2)*(h + 15)/5
Suppose s**4 - 2*s**3 - 4*s**2 + 2*s + 3 = 0. Calculate s.
-1, 1, 3
What is j in -j**3/5 - 6*j**2/5 - j = 0?
-5, -1, 0
Factor 2*c**2 + 2510*c - 7548.
2*(c - 3)*(c + 1258)
Factor -v**3 + 4*v**2 + 25*v - 28.
-(v - 7)*(v - 1)*(v + 4)
Factor k**4/8 - 51*k**3/2 + 5301*k**2/4 - 4949*k/2 - 30603/8.
(k - 101)**2*(k - 3)*(k + 1)/8
Find v such that -4*v**5/9 - 8*v**4/9 + 28*v**3/9 + 32*v**2/9 - 16*v/3 = 0.
-3, -2, 0, 1, 2
Suppose 6*c**2/7 + 8940*c/7 - 1278 = 0. Calculate c.
-1491, 1
Suppose -s**3/2 - 31*s**2/2 + 17*s + 32 = 0. What is s?
-32, -1, 2
Solve -y**4 + 27*y**3 + 157*y**2 + 105*y - 288 = 0.
-3, 1, 32
Factor 35*d**3 + 185*d**2 + 190*d + 40.
5*(d + 1)*(d + 4)*(7*d + 2)
Factor 242*z**3/3 - 2200*z**2 + 15000*z.
2*z*(11*z - 150)**2/3
Suppose 4*w**3/3 - 124*w**2/3 - 4*w/3 + 124/3 = 0. What is w?
-1, 1, 31
Factor 4*b**2 + 34128*b + 72795024.
4*(b + 4266)**2
Determine n so that n**4 + 342*n**3 - 344*n**2 - 342*n + 343 = 0.
-343, -1, 1
Factor r**5 + 7*r**4 + 11*r**3 + 5*r**2.
r**2*(r + 1)**2*(r + 5)
Determine l, given that l**4/3 - 62*l**3/3 - 260*l**2/3 - 88*l = 0.
-2, 0, 66
What is z in -18*z**3