s w in w**3 - 6*w**2 + 9*w = 0?
0, 3
Determine g, given that -4*g**3/9 + 436*g**2/9 - 7520*g/9 + 35600/9 = 0.
10, 89
Let -460*p**3/11 - 2*p**2/11 = 0. What is p?
-1/230, 0
What is h in -3*h**3/5 + 57*h**2/5 + 120*h + 1296/5 = 0?
-4, 27
Solve 12996*w**2 - 456*w + 4 = 0.
1/57
Factor 3*t**3/5 - 3*t**2 - 12*t/5 + 12.
3*(t - 5)*(t - 2)*(t + 2)/5
Let -19*p**3/4 - p**2/2 + 171*p/4 + 9/2 = 0. Calculate p.
-3, -2/19, 3
Determine j so that -2*j**2 + 2740*j - 938450 = 0.
685
Determine d, given that -d**4 - 4*d**3 - 3*d**2 + 4*d + 4 = 0.
-2, -1, 1
Factor -3*l**4/2 + 57*l**3/2 - 90*l**2.
-3*l**2*(l - 15)*(l - 4)/2
What is q in -q**3 + 245*q**2 - 15128*q + 14884 = 0?
1, 122
Solve t**3/7 - 68*t**2/7 + 235*t/7 + 192 = 0.
-3, 7, 64
Solve 3*f**2 + 57*f - 126 = 0.
-21, 2
Factor -4*a**2 + 11040*a - 7617600.
-4*(a - 1380)**2
Determine v so that 3*v**5/5 + 21*v**4/5 - 9*v**3/5 - 129*v**2/5 + 186*v/5 - 72/5 = 0.
-6, -4, 1
Determine i so that -278*i**3/3 - 284*i**2/3 - 2*i = 0.
-1, -3/139, 0
Factor -5*y**4 + 20*y**3 + 210*y**2 - 1100*y + 875.
-5*(y - 5)**2*(y - 1)*(y + 7)
Factor 2*q**5/5 - 6*q**4/5 - 8*q**3/5.
2*q**3*(q - 4)*(q + 1)/5
Factor 2*t**2 + 58*t.
2*t*(t + 29)
What is k in -20*k**5 - 28*k**4 + 92*k**3 - 20*k**2 - 24*k = 0?
-3, -2/5, 0, 1
Let 3*r**5/2 - 21*r**4 - 3*r**3/2 + 21*r**2 = 0. Calculate r.
-1, 0, 1, 14
Factor -2*s**3/7 - 614*s**2/7 - 6688*s + 6776.
-2*(s - 1)*(s + 154)**2/7
Factor 2*r**5 + 26*r**4 - 60*r**3 + 4*r**2 + 58*r - 30.
2*(r - 1)**3*(r + 1)*(r + 15)
Solve 20*o**5 - 128*o**4 + 128*o**3 + 88*o**2 - 148*o + 40 = 0 for o.
-1, 2/5, 1, 5
Solve 7*y**4 - 202*y**3/3 - 343*y**2/3 + 268*y/3 - 44/3 = 0.
-2, 2/7, 1/3, 11
Solve -x**2 - 3*x - 2 = 0.
-2, -1
Determine f so that -f**4/4 + 3*f**3/4 + 9*f**2 + 8*f = 0.
-4, -1, 0, 8
Suppose 2*q**5 - 1358*q**4 + 1350*q**3 + 4078*q**2 - 6784*q + 2712 = 0. Calculate q.
-2, 1, 678
Factor c**2 + 7*c - 8.
(c - 1)*(c + 8)
Factor -n**2/4 - 7*n/2 + 8.
-(n - 2)*(n + 16)/4
Solve -15*n**4 + 1548*n**3 - 199692*n**2/5 = 0 for n.
0, 258/5
Determine g, given that -g**4/9 + g**3/9 + g**2/3 - g/9 - 2/9 = 0.
-1, 1, 2
Let -2*u**2/7 - 26*u/7 - 12 = 0. What is u?
-7, -6
Determine l, given that -4*l**5 - 28*l**4 + 48*l**3 + 272*l**2 - 448*l = 0.
-7, -4, 0, 2
Solve 10*b**5 - 58*b**4 + 130*b**3 - 142*b**2 + 76*b - 16 = 0 for b.
4/5, 1, 2
Solve -j**2/3 + 8*j/3 = 0.
0, 8
Factor 5*v**3 + 170*v**2.
5*v**2*(v + 34)
Let -132*k**3/7 - 1593*k**2/7 - 4860*k/7 - 324/7 = 0. Calculate k.
-6, -3/44
Factor 2*b**3/3 - 8*b**2/3.
2*b**2*(b - 4)/3
Factor 5*x**5/6 + 5*x**4/6 - 5*x**3 - 35*x**2/3 - 55*x/6 - 5/2.
5*(x - 3)*(x + 1)**4/6
Factor 5*h**3 - 215*h**2 + 210*h.
5*h*(h - 42)*(h - 1)
Factor t**2 + 21*t + 38.
(t + 2)*(t + 19)
Determine b so that 2*b**4/7 + 30*b**3/7 + 72*b**2/7 = 0.
-12, -3, 0
Factor 2*i**5 + 216*i**4 - 12*i**3 - 1312*i**2 - 1734*i - 648.
2*(i - 3)*(i + 1)**3*(i + 108)
Determine w so that -15*w**3/8 + 27*w**2/4 - 21*w/8 - 9/4 = 0.
-2/5, 1, 3
Factor 2*k**2/11 + 124*k/11 + 1922/11.
2*(k + 31)**2/11
Find s, given that -s**2/2 - 130*s - 8450 = 0.
-130
Factor m**3/2 + 4*m**2 + 17*m/2 + 5.
(m + 1)*(m + 2)*(m + 5)/2
What is c in 28*c**5/3 + 68*c**4 + 448*c**3/3 + 112*c**2 + 64*c/3 = 0?
-4, -2, -1, -2/7, 0
Suppose -2*q**5/7 + 30*q**4/7 + 16*q**3/7 - 528*q**2/7 - 1184*q/7 - 96 = 0. Calculate q.
-2, -1, 6, 14
Find h, given that 4*h**3 - 64*h**2 + 308*h - 392 = 0.
2, 7
Determine s so that -4*s**3 + 320*s**2 - 6068*s - 13448 = 0.
-2, 41
Suppose -2*p**3/9 - 452*p**2/9 + 2*p/9 + 452/9 = 0. Calculate p.
-226, -1, 1
Factor -2*v**2/7 + 36*v/7 + 80/7.
-2*(v - 20)*(v + 2)/7
Factor -3*i**4 + 360*i**3 - 11484*i**2 + 40368*i.
-3*i*(i - 58)**2*(i - 4)
Factor k**2/3 + 83*k/3.
k*(k + 83)/3
Factor 5*h**2 - 139*h + 108.
(h - 27)*(5*h - 4)
Solve -15*y**4 + 25*y**3 + 5*y**2 - 25*y + 10 = 0.
-1, 2/3, 1
Factor h**3 + 10*h**2 + 24*h.
h*(h + 4)*(h + 6)
Factor -2*m**2/3 + 10018*m/3 + 3340.
-2*(m - 5010)*(m + 1)/3
Let -4*q**4 + 8*q**3 + 32*q**2 - 72*q + 36 = 0. What is q?
-3, 1, 3
Suppose 2*v**3/13 - 114*v**2/13 = 0. What is v?
0, 57
Let -2*c**3/15 - 1122*c**2/5 - 629442*c/5 - 117705654/5 = 0. Calculate c.
-561
Let -2*u**5/9 + 20*u**4/9 - 2*u**3 = 0. What is u?
0, 1, 9
Factor -27*j**4/8 - 255*j**3/8 + 231*j**2/4.
-3*j**2*(j + 11)*(9*j - 14)/8
Factor 2*r**3/11 - 12*r**2/11 + 6*r/11 + 20/11.
2*(r - 5)*(r - 2)*(r + 1)/11
Determine h so that -2*h**2/7 - 36*h = 0.
-126, 0
Factor 3*n**3 + 66*n**2 + 384*n + 672.
3*(n + 4)**2*(n + 14)
Solve 6*n**3/5 + 4544*n**2 + 21515838*n/5 + 14333796/5 = 0.
-1893, -2/3
Factor q**4/5 - q**3 - 4*q**2/5 + 44*q/5 - 48/5.
(q - 4)*(q - 2)**2*(q + 3)/5
Solve 10*w**2/3 + 32*w/3 + 2 = 0 for w.
-3, -1/5
Let k**4 + 12*k**3 + 31*k**2 - 12*k - 32 = 0. What is k?
-8, -4, -1, 1
Find x, given that 4*x**3 + 24*x**2 + 44*x + 24 = 0.
-3, -2, -1
Factor -2*r**2/7 - 12*r/7 + 26.
-2*(r - 7)*(r + 13)/7
Factor 2*m**2/17 + 18732*m/17 + 43860978/17.
2*(m + 4683)**2/17
What is b in -3*b**2 - 2826*b - 665523 = 0?
-471
Find i, given that -3*i**4 + 3*i**2 = 0.
-1, 0, 1
Factor -2*b**5/5 + 24*b**4/5 - 72*b**3/5 + 64*b**2/5.
-2*b**2*(b - 8)*(b - 2)**2/5
Factor 9*c**5 - 3*c**4 - 33*c**3 + 27*c**2 + 12*c - 12.
3*(c - 1)**3*(c + 2)*(3*c + 2)
Factor 2*d**3/11 + 8*d**2/11 - 728*d/11 + 128.
2*(d - 16)*(d - 2)*(d + 22)/11
Factor 2*g**4/3 - 28*g**3 + 962*g**2/3 - 560*g + 800/3.
2*(g - 20)**2*(g - 1)**2/3
Factor n**4/3 + n**3 - 10*n**2/3.
n**2*(n - 2)*(n + 5)/3
Solve 5*w**4 - 325*w**3 + 2910*w**2 + 3240*w = 0 for w.
-1, 0, 12, 54
Suppose -2*z**4/7 + 8*z**3/7 - 10*z**2/7 + 4*z/7 = 0. What is z?
0, 1, 2
Factor 4*a**4 - 2224*a**3 + 302392*a**2 + 1874832*a + 2842596.
4*(a - 281)**2*(a + 3)**2
Factor 5*q**4 - 130*q**3 - 145*q**2 + 270*q.
5*q*(q - 27)*(q - 1)*(q + 2)
What is d in -3*d**4/2 + 4*d**3 + 3*d**2/2 = 0?
-1/3, 0, 3
Factor 4*l**2 - 8*l - 32.
4*(l - 4)*(l + 2)
Factor -3*k**4 + 144*k**3 + 2016*k**2 + 8448*k + 11520.
-3*(k - 60)*(k + 4)**3
Factor -4*w**3 + 80*w**2 + 4*w - 80.
-4*(w - 20)*(w - 1)*(w + 1)
Factor -18*m**2/11 + 62*m/11 - 24/11.
-2*(m - 3)*(9*m - 4)/11
What is q in 4*q**4 + 36*q**3 + 72*q**2 - 16*q - 96 = 0?
-6, -2, 1
Determine n so that -n**4/3 - 12*n**3 - 286*n**2/3 + 228*n - 361/3 = 0.
-19, 1
Factor -2*q**2 + 180*q - 4050.
-2*(q - 45)**2
Factor 18*j**3 - 132*j**2 + 248*j - 112.
2*(j - 2)*(3*j - 14)*(3*j - 2)
Factor -i**3/4 + 353*i**2/4 + 267*i.
-i*(i - 356)*(i + 3)/4
Determine f so that 30*f**3 - 55*f**2 - 10*f = 0.
-1/6, 0, 2
Let 20*h**5 + 52*h**4 - 204*h**3 + 172*h**2 - 40*h = 0. Calculate h.
-5, 0, 2/5, 1
Determine f, given that -3*f**4 - f**3 + 32*f**2 - 44*f + 16 = 0.
-4, 2/3, 1, 2
Factor 2*g**2/3 - 20*g/3.
2*g*(g - 10)/3
Let -3*x**5/7 - 201*x**4/7 - 3657*x**3/7 - 9795*x**2/7 - 1344*x - 3072/7 = 0. What is x?
-32, -1
Suppose -3*r**3/4 + 3*r**2/2 + 189*r/4 = 0. What is r?
-7, 0, 9
Suppose -2*j**5 - 3*j**4 + 8*j**3 + 13*j**2 - 4 = 0. What is j?
-2, -1, 1/2, 2
Let -5*v**2/3 - 2*v - 1/3 = 0. What is v?
-1, -1/5
Determine w so that -w**3 - 21*w**2 - 135*w - 243 = 0.
-9, -3
Solve -3*z**4/4 - 27*z**3/2 - 39*z**2 + 54*z + 168 = 0 for z.
-14, -4, -2, 2
Find r, given that -4*r**3 - 1028*r**2 - 1024*r = 0.
-256, -1, 0
Factor -x**4/4 + 105*x**3/4 + 161*x**2/2 + 54*x.
-x*(x - 108)*(x + 1)*(x + 2)/4
Factor -k**3/4 - k**2/4 + 65*k/4 - 63/4.
-(k - 7)*(k - 1)*(k + 9)/4
Let 2*h**2 + 166*h = 0. Calculate h.
-83, 0
Find j such that -4*j**4/5 - 16*j**3/5 - 4*j**2 - 8*j/5 = 0.
-2, -1, 0
Factor 4*c**5 - 4*c**3.
4*c**3*(c - 1)*(c + 1)
Factor -3*a**4/7 + 27*a**3/7 + 30*a**2/7.
-3*a**2*(a - 10)*(a + 1)/7
Determine u, given that 841*u**5 - 116*u**4 + 4*u**3 = 0.
0, 2/29
Factor 5*i**5 + 350*i**4 - 720*i**3 + 10*i**2 + 715*i - 360.
5*(i - 1)**3*(i + 1)*(i + 72)
Find a, given that 2*a**2/7 + 22*a/7 - 24/7 = 0.
-12, 1
Factor 3*z**2/4 - 19*z/4.
z*(3*z - 19)/4
What is f in -f**4/2 + 5*f**3/2 + 27*f**2/2 - 101*f/2 + 35 = 0?
-5, 1, 2, 7
Factor 4*w**5 - 52*w**4 + 248*w**3 - 512*w**2 + 384*w.
4*w*(w - 4)**2*(w - 3)*(w - 2)
Solve 12*s**4 + 2164*s**3 - 5868*s**2 - 2196*s = 0.
-183, -1/3, 0, 3
Factor -2*g**2 - 16*g + 130.
-2*(g - 5)*(g + 13)
Factor -5*y**3 + 245*y**2 - 1800*y.
-5*y*(y - 40)*(y - 9)
Factor 56*w**2 - 3254*w - 466.
2*(4*w - 233)*(7*w + 1)
Determine p, given that -52*p**3 + 192*p**2 + 688*p + 192 = 0.
-2, -4/13, 6
Suppose -4*z**5 - 24*z**4 - 28*z**3 + 72*z**2 + 176*z + 96 = 0. What is