+ 2)/15
Factor 6*h**4/7 + 144*h**3/7 + 708*h**2/7 - 1872*h/7 + 1014/7.
6*(h - 1)**2*(h + 13)**2/7
Factor 98*q**2/19 + 8568*q/19 + 187272/19.
2*(7*q + 306)**2/19
Factor -4*p**2 - 1568*p - 153664.
-4*(p + 196)**2
Factor -2*v**4 - 30*v**3 - 148*v**2 - 264*v - 144.
-2*(v + 1)*(v + 2)*(v + 6)**2
What is n in 20*n**3/17 - 122*n**2/17 + 56*n/17 = 0?
0, 1/2, 28/5
Find v, given that -2*v**2/5 + 2*v/5 + 4/5 = 0.
-1, 2
Determine u, given that -u**3 - 53*u**2 + 109*u - 55 = 0.
-55, 1
Factor -2*f**2/11 + 40*f/11 - 72/11.
-2*(f - 18)*(f - 2)/11
Suppose -3*y**4 + 68*y**3 - 332*y**2 - 672*y + 576 = 0. Calculate y.
-2, 2/3, 12
Solve -4*t**3 - 744*t**2 - 46128*t - 953312 = 0.
-62
Factor -2*i**5/3 - 94*i**4/3 + 132*i**3 - 604*i**2/3 + 406*i/3 - 34.
-2*(i - 1)**4*(i + 51)/3
Factor z**2 + 330*z + 27225.
(z + 165)**2
Factor -2*l**2/21 + 2*l/21.
-2*l*(l - 1)/21
Let 2*g**2/5 - 762*g/5 + 1516/5 = 0. Calculate g.
2, 379
Determine u, given that -25*u**4 + 127*u**3/5 + 123*u**2/5 - 127*u/5 + 2/5 = 0.
-1, 2/125, 1
Factor -m**4/4 - 21*m**3/2 + 235*m**2/4.
-m**2*(m - 5)*(m + 47)/4
Determine f so that -11*f**2/4 - 339*f/4 + 31/2 = 0.
-31, 2/11
Find b, given that 4*b**2/9 - 56*b + 1952/9 = 0.
4, 122
Factor -3*v**4 + 144*v**3 + 150*v**2 - 144*v - 147.
-3*(v - 49)*(v - 1)*(v + 1)**2
Find s such that 16*s**4 - 140*s**3 + 204*s**2 + 460*s + 100 = 0.
-1, -1/4, 5
What is t in -4*t**5 - 16*t**4 + 60*t**3 + 40*t**2 - 176*t + 96 = 0?
-6, -2, 1, 2
Find s such that -3*s**3 + 39*s**2 = 0.
0, 13
Factor 2*p**2/19 + 102*p/19 - 324/19.
2*(p - 3)*(p + 54)/19
What is p in -4*p**3 + 56*p**2 - 240*p + 288 = 0?
2, 6
Factor -2*x**2/7 + 110*x/7 + 16.
-2*(x - 56)*(x + 1)/7
Factor -21*q**2/5 + 132*q + 384/5.
-3*(q - 32)*(7*q + 4)/5
Factor -a**2/4 - 5*a/4 + 7/2.
-(a - 2)*(a + 7)/4
Suppose k**2/3 - 968*k/3 + 234256/3 = 0. Calculate k.
484
Solve b**3 + 60*b**2 + 837*b - 1922 = 0 for b.
-31, 2
Factor -21*u**2/4 + 2469*u - 705.
-3*(u - 470)*(7*u - 2)/4
Factor f**3/4 + 39*f**2/4 + 399*f/4 + 361/4.
(f + 1)*(f + 19)**2/4
Factor -4*p**5/3 + 2348*p**4/3 - 520840*p**3/3 + 52310200*p**2/3 - 2109648500*p/3 + 12377417500/3.
-4*(p - 145)**4*(p - 7)/3
Let d**4 - 4*d**3 + 3*d**2 = 0. Calculate d.
0, 1, 3
Factor 6*f**4/7 - 30*f**3/7 - 186*f**2/7 - 258*f/7 - 108/7.
6*(f - 9)*(f + 1)**2*(f + 2)/7
Suppose 2*j**5 + 38*j**4 + 116*j**3 - 84*j**2 - 342*j + 270 = 0. What is j?
-15, -3, 1
Factor -3*q**3 - 231*q**2 - 4329*q + 4563.
-3*(q - 1)*(q + 39)**2
Factor -3*a**2/4 - 354*a - 7005/4.
-3*(a + 5)*(a + 467)/4
Factor 13*g**2 + 84*g + 36.
(g + 6)*(13*g + 6)
Suppose 18*w**3 - 9444*w**2 + 1248128*w - 2458624 = 0. Calculate w.
2, 784/3
Factor 2*b**4 + 15*b**3 - 46*b**2 + 39*b - 10.
(b - 1)**2*(b + 10)*(2*b - 1)
Find y such that 10*y**5/3 - 14*y**4/3 - 42*y**3 + 62*y**2/3 + 116*y/3 - 16 = 0.
-3, -1, 2/5, 1, 4
Factor 2*n**2/3 + 580*n/3 + 384.
2*(n + 2)*(n + 288)/3
Determine h, given that -3*h**5 + 54*h**4 + 153*h**3 - 624*h**2 - 720*h = 0.
-4, -1, 0, 3, 20
Factor g**4/2 - 2*g**3 - 19*g**2/2 - 7*g.
g*(g - 7)*(g + 1)*(g + 2)/2
What is c in 243*c**5 + 48465*c**4 - 27096*c**3 - 19212*c**2 - 2400*c = 0?
-200, -2/9, 0, 1
What is n in n**5/8 - 11*n**4/8 + 47*n**3/8 - 97*n**2/8 + 12*n - 9/2 = 0?
1, 2, 3
Factor r**2/3 + 37*r/3 + 12.
(r + 1)*(r + 36)/3
Factor q**2/5 - 44*q - 221/5.
(q - 221)*(q + 1)/5
Factor 9*b**4 - 16*b**3 + 5*b**2 + 2*b.
b*(b - 1)**2*(9*b + 2)
What is g in -2*g**4/9 + 176*g**3/9 - 1348*g**2/3 + 7568*g/9 - 3698/9 = 0?
1, 43
Factor -a**4 - a**3 + 41*a**2 - 111*a + 72.
-(a - 3)**2*(a - 1)*(a + 8)
Find u such that -4*u**2 + 1296*u - 1292 = 0.
1, 323
Factor -2*g**3/5 + 68*g**2/5 - 26*g + 64/5.
-2*(g - 32)*(g - 1)**2/5
Find o, given that 160*o**4/3 - 116*o**3/3 - 67*o**2/3 + 17*o/3 + 2 = 0.
-2/5, -1/4, 3/8, 1
Factor 3*u**4 - 9*u**2 - 6*u.
3*u*(u - 2)*(u + 1)**2
Determine k, given that -1584*k**5 - 3788*k**4 + 11861*k**3/4 + 369*k**2/4 - 729*k/2 + 54 = 0.
-3, -4/11, 2/9, 3/8
Factor n**4/2 - 8*n**3 + 44*n**2 - 96*n + 72.
(n - 6)**2*(n - 2)**2/2
Factor 2*z**4 - 6*z**3 - 2*z**2 + 6*z.
2*z*(z - 3)*(z - 1)*(z + 1)
Let 2*n**5/5 + 4*n**4/5 - 6*n**3 + 8*n**2/5 + 8*n = 0. Calculate n.
-5, -1, 0, 2
Factor o**4/2 - 4*o**3 + 11*o**2 - 12*o + 9/2.
(o - 3)**2*(o - 1)**2/2
Factor 5*z**5 + 310*z**4 + 4480*z**3 - 10240*z**2.
5*z**2*(z - 2)*(z + 32)**2
Determine o, given that -2*o**4/15 + 4*o**3/5 - 2*o**2/3 = 0.
0, 1, 5
Factor 2*d**3/11 - 306*d**2/11 - 320*d/11 + 168.
2*(d - 154)*(d - 2)*(d + 3)/11
Let -s**4/3 - 73*s**3/3 - 454*s**2 - 288*s + 2592 = 0. What is s?
-36, -3, 2
Suppose q**2/8 - 37*q/2 + 1369/2 = 0. What is q?
74
Determine y, given that -2*y**2/7 + 1336*y/7 - 223112/7 = 0.
334
Find a such that -3*a**4 - 75*a**3 - 423*a**2 + 663*a + 1014 = 0.
-13, -1, 2
Solve 5*n**3 - 20*n**2 - 4645*n - 4620 = 0 for n.
-28, -1, 33
Factor 3*q**4 - 15*q**3 - 171*q**2 - 285*q - 132.
3*(q - 11)*(q + 1)**2*(q + 4)
Let 4*b**2 + 140*b + 264 = 0. Calculate b.
-33, -2
Solve -4*z**5 + 28*z**4 - 20*z**3 - 28*z**2 + 24*z = 0 for z.
-1, 0, 1, 6
What is z in -z**2/7 - 13*z + 186/7 = 0?
-93, 2
Factor -5*k**3/3 + 205*k**2/3 + 20*k/3 - 820/3.
-5*(k - 41)*(k - 2)*(k + 2)/3
Let 42*q**4/5 + 502*q**3/5 - 2072*q**2/5 - 2312*q/5 - 96 = 0. Calculate q.
-15, -2/3, -2/7, 4
Factor 5*s**2 + 650*s + 1280.
5*(s + 2)*(s + 128)
Factor 3*c**2 - 5004*c + 5001.
3*(c - 1667)*(c - 1)
Factor 155*g**4 + 150*g**3 - 5*g**2.
5*g**2*(g + 1)*(31*g - 1)
Factor 2*k**4 + 66*k**3 + 506*k**2 - 714*k - 1156.
2*(k - 2)*(k + 1)*(k + 17)**2
Solve 2*c**5/5 - 34*c**4/5 + 192*c**3/5 - 72*c**2 = 0 for c.
0, 5, 6
Factor -3*k**2/7 + 36*k/7 + 255/7.
-3*(k - 17)*(k + 5)/7
Factor -12*l**4 - 8*l**3 + 20*l**2.
-4*l**2*(l - 1)*(3*l + 5)
Find g, given that -2*g**2/5 + 5188*g/5 - 3364418/5 = 0.
1297
Factor 2*m**2/13 - 18*m/13.
2*m*(m - 9)/13
Factor 11*b**2/2 - 3*b/4.
b*(22*b - 3)/4
Solve -25*q**2 - 385*q + 240 = 0.
-16, 3/5
Determine t, given that t**5/3 + 5*t**4/3 + t**3/3 - 17*t**2/3 - 22*t/3 - 8/3 = 0.
-4, -1, 2
Let -29*u**3 + 375*u**2 + 26*u = 0. What is u?
-2/29, 0, 13
Factor 2*x**3/13 - 14*x**2/13 + 12*x/13.
2*x*(x - 6)*(x - 1)/13
Factor 3*u**2 - 6*u - 9.
3*(u - 3)*(u + 1)
Factor 3*s**3/2 + 33*s**2/2 - 39*s.
3*s*(s - 2)*(s + 13)/2
Factor 5*u**4/6 + 37*u**3/3 + 235*u**2/6 - 25*u/3.
u*(u + 5)*(u + 10)*(5*u - 1)/6
Factor -2*h**3/5 - 798*h**2 - 1988016*h/5 + 1992008/5.
-2*(h - 1)*(h + 998)**2/5
Let n**2/5 + 13*n/5 + 12/5 = 0. Calculate n.
-12, -1
Suppose -49*j**3 - 224*j**2 - 116*j - 16 = 0. Calculate j.
-4, -2/7
What is p in 8*p**4/3 + 5*p**3 - 11*p**2/3 - 6*p = 0?
-2, -1, 0, 9/8
Factor l**2/2 + 53*l/2 - 114.
(l - 4)*(l + 57)/2
Suppose -j**5/5 - 23*j**4/5 + 132*j**3/5 - 44*j**2 + 112*j/5 = 0. Calculate j.
-28, 0, 1, 2
Suppose j**4 + 15*j**3 + 72*j**2 + 140*j + 96 = 0. Calculate j.
-8, -3, -2
Factor 2*z**3 - 40*z**2 + 192*z.
2*z*(z - 12)*(z - 8)
Factor 79*v**2 - 113*v + 34.
(v - 1)*(79*v - 34)
Factor -2*a**4/3 - 52*a**3/3 - 144*a**2 - 324*a + 486.
-2*(a - 1)*(a + 9)**3/3
Suppose -3*n**4 - 96*n**3 - 738*n**2 + 96*n + 741 = 0. What is n?
-19, -13, -1, 1
Factor -40*h**3 + 95*h**2 + 90*h - 45.
-5*(h - 3)*(h + 1)*(8*h - 3)
Factor -5*r**4 - 220*r**3 + 230*r**2 + 220*r - 225.
-5*(r - 1)**2*(r + 1)*(r + 45)
Suppose 7*z**4 - 5*z**3 - 16*z**2 - 4*z = 0. Calculate z.
-1, -2/7, 0, 2
Solve -55*p**5 + 85*p**4 + 490*p**3 + 200*p**2 = 0.
-2, -5/11, 0, 4
Determine h, given that 4*h**4 + 92*h**3 - 4*h**2 - 92*h = 0.
-23, -1, 0, 1
Let 6*n**2/5 + 1698*n/5 - 1704/5 = 0. Calculate n.
-284, 1
Find v, given that 2*v**5 - 20*v**4/3 + 8*v**3/3 + 16*v**2/3 = 0.
-2/3, 0, 2
Suppose -2*r**5/7 - 2*r**4/7 + 6*r**3/7 + 10*r**2/7 + 4*r/7 = 0. Calculate r.
-1, 0, 2
Factor -g**2 - 39*g - 368.
-(g + 16)*(g + 23)
Factor -5*r**2 - 45*r - 40.
-5*(r + 1)*(r + 8)
Suppose -12*w**2 + 3057*w + 765 = 0. What is w?
-1/4, 255
Find t such that 3*t**4/8 - 6969*t**3/4 + 5395167*t**2/2 - 5564210919*t/4 - 11150016447/8 = 0.
-1, 1549
Factor -r**4 - 12*r**3 - 22*r**2 + 84*r - 49.
-(r - 1)**2*(r + 7)**2
Determine c so that -c**4/3 + 14*c**3/3 + 7*c**2/3 - 92*c/3 - 28 = 0.
-2, -1, 3, 14
What is f in -14*f**5/3 - 226*f**4/9 + 446*f**3/9 - 206*f**2/9 + 28*f/9 = 0?
-7, 0, 2/7, 1/3, 1
Suppose -2*x**2/13 + 98*x/13 - 516/13 = 0. What is x?
6, 43
Find k such that -2*k**5 - 2*k**4 + 12*k**3 = 0.
-3, 0, 2
Factor -2*r**4 + 18*r**3 - 60*r**2 + 88*r - 48.
-2*(r - 3)*(r - 2)**3
D