
-2*t*(t - 5)*(t + 5)/7
Determine c so that 4*c**3 + 128*c**2 + 244*c + 120 = 0.
-30, -1
Factor 2*c**2/19 - 52*c/19 - 54/19.
2*(c - 27)*(c + 1)/19
Factor 5*b**3 - 40*b**2 + 75*b.
5*b*(b - 5)*(b - 3)
Factor b**2/6 + 4*b - 26/3.
(b - 2)*(b + 26)/6
Factor 8*s**3/9 - 362*s**2/9 + 10*s.
2*s*(s - 45)*(4*s - 1)/9
Factor -w**2/6 - 2282*w/3.
-w*(w + 4564)/6
Find g such that -2*g**2/3 + 4859*g/9 + 90 = 0.
-1/6, 810
Determine h so that -4394*h**3 + 5070*h**2 - 1950*h + 250 = 0.
5/13
Suppose 2*z**2/11 + 58*z/11 + 156/11 = 0. Calculate z.
-26, -3
Factor 18*b**4 + 105*b**3/2 + 44*b**2 + 8*b.
b*(3*b + 4)**2*(4*b + 1)/2
Solve -c**5/6 - 7*c**4/6 - 8*c**3/3 - 4*c**2/3 + 8*c/3 + 8/3 = 0 for c.
-2, 1
Factor 4*a**2 + 208*a + 588.
4*(a + 3)*(a + 49)
Factor 4*l**3/5 + 24*l**2/5 - 64*l/5.
4*l*(l - 2)*(l + 8)/5
Factor 220*o**2/7 - 62*o - 12/7.
2*(o - 2)*(110*o + 3)/7
Factor -2*o**3 + 120*o**2 - 106*o - 708.
-2*(o - 59)*(o - 3)*(o + 2)
Determine j so that -2*j**4/7 - 18*j**3/7 + 44*j**2/7 = 0.
-11, 0, 2
Find u such that u**2/12 - 29*u/2 + 2523/4 = 0.
87
Factor w**4/5 - 3*w**3/5 - 4*w**2/5.
w**2*(w - 4)*(w + 1)/5
Determine p so that 256*p**3 + 8000*p**2 + 1988*p + 124 = 0.
-31, -1/8
Determine c, given that 3*c**2/5 + 234*c/5 = 0.
-78, 0
Solve 4*z**2 + 44*z - 408 = 0.
-17, 6
Determine y, given that -10*y**4 - 52*y**3 - 90*y**2 - 56*y - 8 = 0.
-2, -1, -1/5
Factor 3*q**2 - 7320*q + 4465200.
3*(q - 1220)**2
Find c such that -5*c**5 + 495*c**4 = 0.
0, 99
Factor -5*i**3 - 7095*i**2 - 3355935*i - 529119085.
-5*(i + 473)**3
Suppose -2*r**2/5 - 14*r/5 + 156/5 = 0. Calculate r.
-13, 6
What is q in 2*q**4/15 + 4*q**3/15 - 2*q**2 - 24*q/5 = 0?
-3, 0, 4
Factor 19*m**3/2 - 21*m**2/2 - 56*m + 6.
(m - 3)*(m + 2)*(19*m - 2)/2
Find l, given that -5*l**4 + 980*l**3 - 45975*l**2 - 205000*l + 250000 = 0.
-5, 1, 100
Factor -3*a**3 + 31*a**2 - 85*a + 25.
-(a - 5)**2*(3*a - 1)
Find h, given that 2*h**3/13 + 1786*h**2/13 + 5344*h/13 + 3560/13 = 0.
-890, -2, -1
Factor 2*l**2/17 + 48*l/17 + 14.
2*(l + 7)*(l + 17)/17
Determine x, given that x**2/4 + 3*x + 5 = 0.
-10, -2
Factor 2*q**3/21 - 8*q**2/7 - 422*q/21 - 132/7.
2*(q - 22)*(q + 1)*(q + 9)/21
Determine w, given that -52*w**5/5 + 8*w**4/5 + 1196*w**3/5 + 752*w**2/5 - 2224*w/5 + 64 = 0.
-4, -2, 2/13, 1, 5
Factor x**2/5 + 27*x/5 + 152/5.
(x + 8)*(x + 19)/5
Find u such that -3*u**5/5 + 2*u**4/5 + 4*u**3/5 - 2*u**2/5 - u/5 = 0.
-1, -1/3, 0, 1
Suppose d**3/3 - 7*d**2/3 - 5*d/3 + 25 = 0. What is d?
-3, 5
Factor -2*q**3/11 - 16*q**2/11.
-2*q**2*(q + 8)/11
Factor -2*h**2/13 + 8/13.
-2*(h - 2)*(h + 2)/13
Factor 8*m**3 + 38*m**2 - 202*m + 48.
2*(m - 3)*(m + 8)*(4*m - 1)
Factor -5*d**3/6 + 41*d**2/3 + 77*d/6 - 221/3.
-(d - 17)*(d - 2)*(5*d + 13)/6
Find n, given that n**3/3 - 75*n**2 + 5625*n - 140625 = 0.
75
Factor -2*k**3 + 14*k**2 + 482*k - 494.
-2*(k - 19)*(k - 1)*(k + 13)
Determine c so that 4*c**2 - 2788*c = 0.
0, 697
Find i such that -52*i**2 - 560*i + 132 = 0.
-11, 3/13
Factor -4*z**2 - 272*z - 4624.
-4*(z + 34)**2
Factor 2*u**3/5 + 104*u**2/5 + 1038*u/5 + 936/5.
2*(u + 1)*(u + 12)*(u + 39)/5
Determine q so that -q**3 + 39*q**2 + q - 39 = 0.
-1, 1, 39
Suppose -2*w**3/11 + 20*w**2/11 - 26*w/11 - 48/11 = 0. What is w?
-1, 3, 8
Find j, given that -2*j**5/3 - 8*j**4/3 - 10*j**3/3 - 4*j**2/3 = 0.
-2, -1, 0
Factor -27*q**4 - 83*q**3 - 6*q**2 + 108*q + 8.
-(q - 1)*(q + 2)**2*(27*q + 2)
Find u such that -4*u**2/9 + 1856*u/9 + 620/3 = 0.
-1, 465
Factor -4*z**2 + 43392*z - 117679104.
-4*(z - 5424)**2
Find v such that 2*v**3/3 + 52*v**2/3 + 32*v = 0.
-24, -2, 0
Let 2*m**2/3 + 52*m/3 = 0. Calculate m.
-26, 0
Factor u**2 + 26*u + 153.
(u + 9)*(u + 17)
Solve 3*t**3/7 - 30*t**2/7 + 99*t/7 - 108/7 = 0 for t.
3, 4
Factor 8*s**2/5 + 62*s/5 - 16/5.
2*(s + 8)*(4*s - 1)/5
Determine s so that 5*s**4 - 30*s**3 - 120*s**2 - 130*s - 45 = 0.
-1, 9
Determine g so that g**5/4 + 15*g**4/4 + 83*g**3/4 + 209*g**2/4 + 60*g + 25 = 0.
-5, -2, -1
Factor -4*s**2 - 18*s.
-2*s*(2*s + 9)
Find y, given that 5*y**5 - 101*y**4 + 1734*y**3/5 + 8236*y**2/5 + 5624*y/5 + 1056/5 = 0.
-2, -2/5, 11, 12
Factor -l**2/6 - 62*l/3 - 1922/3.
-(l + 62)**2/6
Factor -2*g**4/9 + 64*g**3/9 - 512*g**2/9.
-2*g**2*(g - 16)**2/9
Determine z so that 6975*z**5 - 7920*z**4 + 545*z**3 + 380*z**2 + 20*z = 0.
-2/15, -2/31, 0, 1/3, 1
Solve 16*q**5/9 + 44*q**4/9 - 76*q**3/9 + 16*q**2/9 = 0.
-4, 0, 1/4, 1
Factor -2*o**4 - 168*o**3 - 3690*o**2 - 6724*o.
-2*o*(o + 2)*(o + 41)**2
Let 3*j**2 - 27*j = 0. What is j?
0, 9
Suppose -5*z**5 + 5*z**4 + 20*z**3 - 20*z**2 = 0. What is z?
-2, 0, 1, 2
Suppose -5*n**5 + 60*n**4 + 75*n**3 - 130*n**2 = 0. What is n?
-2, 0, 1, 13
Factor -4*k**4 + 432*k**3 + 880*k**2.
-4*k**2*(k - 110)*(k + 2)
Factor -2*m**2/7 + 1824*m/7 - 1822/7.
-2*(m - 911)*(m - 1)/7
Factor -3*c**2 - 24*c - 45.
-3*(c + 3)*(c + 5)
Factor 3*t**3 + 483*t**2 - 975*t + 489.
3*(t - 1)**2*(t + 163)
Factor 3*z**2/2 - 12*z + 21/2.
3*(z - 7)*(z - 1)/2
Factor -t**2/4 - 29*t/4 + 33.
-(t - 4)*(t + 33)/4
Factor 10*y**2 - 12*y + 2.
2*(y - 1)*(5*y - 1)
Let y**3/3 - 83*y**2 + 6889*y - 571787/3 = 0. Calculate y.
83
Determine n so that 2*n**5/5 + 14*n**4/5 + 28*n**3/5 + 16*n**2/5 = 0.
-4, -2, -1, 0
Factor w**2/2 + 5*w/4 - 3/4.
(w + 3)*(2*w - 1)/4
Determine w, given that w**5 - 21*w**4 + 120*w**3 - 100*w**2 = 0.
0, 1, 10
Factor g**3/8 - 3*g**2/8 - 429*g/8 - 3025/8.
(g - 25)*(g + 11)**2/8
Factor 2*q**4/11 - 10*q**3/11 + 18*q**2/11 - 14*q/11 + 4/11.
2*(q - 2)*(q - 1)**3/11
Solve 3*m**5/4 - 37*m**4/2 - 111*m**3/4 + 89*m**2/2 + 27*m - 26 = 0 for m.
-2, -1, 2/3, 1, 26
Factor 2*o**2/5 + 364*o/5.
2*o*(o + 182)/5
Determine z so that -2*z**2/17 - 190*z/17 + 588/17 = 0.
-98, 3
Let -x**2 - 47*x + 98 = 0. What is x?
-49, 2
Factor -2*b**2/15 + 136*b/15 - 134/15.
-2*(b - 67)*(b - 1)/15
Determine a so that -4*a**4 + 28*a**3 + 112*a**2 + 80*a = 0.
-2, -1, 0, 10
Factor -2*n**2 - 16*n - 32.
-2*(n + 4)**2
Factor -2*l**2/5 + 2*l/5.
-2*l*(l - 1)/5
Factor 16*k**5 - 52*k**4 + 40*k**3.
4*k**3*(k - 2)*(4*k - 5)
Factor -2*l**2/13 - 1520*l/13 - 288800/13.
-2*(l + 380)**2/13
Find d such that -d**3/4 - 7*d**2/2 - 41*d/4 + 14 = 0.
-8, -7, 1
Let 2*l**2/11 + 2582*l/11 - 5172/11 = 0. What is l?
-1293, 2
Determine t, given that -t**3/5 + 13*t**2/5 - 34*t/5 - 48/5 = 0.
-1, 6, 8
Suppose -4*n**5 - 224*n**4 + 460*n**3 - 232*n**2 = 0. What is n?
-58, 0, 1
Factor -2*b**3/7 - 12*b**2/7 + 158*b/7 + 24.
-2*(b - 7)*(b + 1)*(b + 12)/7
Factor -5*l**2/3 - 8*l/3 + 13/3.
-(l - 1)*(5*l + 13)/3
Find w such that 5*w**3 - 375*w**2 + 4515*w - 14945 = 0.
7, 61
Factor 6*g**3/11 - 428*g**2/11 - 288*g/11.
2*g*(g - 72)*(3*g + 2)/11
Factor -5*f**5/3 - 40*f**4/3 - 10*f**3 + 200*f**2/3 - 125*f/3.
-5*f*(f - 1)**2*(f + 5)**2/3
Let 3*g**2 - 12*g - 180 = 0. What is g?
-6, 10
Suppose k**4 - 38*k**3 + 272*k**2 + 2720*k - 19200 = 0. What is k?
-8, 6, 20
Factor -p**5/3 + 58*p**4/3 - 74*p**3 + 328*p**2/3 - 217*p/3 + 18.
-(p - 54)*(p - 1)**4/3
Factor -2*h**3/3 + 32*h**2/3 - 26*h/3 - 20.
-2*(h - 15)*(h - 2)*(h + 1)/3
Factor -5*b**4 + 20*b**3 - 15*b**2 - 20*b + 20.
-5*(b - 2)**2*(b - 1)*(b + 1)
Determine k, given that -2*k**4/13 - 14*k**3 - 532*k**2/13 - 352*k/13 = 0.
-88, -2, -1, 0
Find w, given that -3*w**4 + 21*w**3 - 24*w**2 - 48*w = 0.
-1, 0, 4
Determine y, given that y**4/4 - 13*y**3/4 + 11*y**2/2 = 0.
0, 2, 11
Suppose -5*w**3/8 + 13*w**2/8 + 17*w/4 - 3 = 0. Calculate w.
-2, 3/5, 4
Find u such that 2*u**5/3 - 2*u**4/3 - 20*u**3 + 48*u**2 = 0.
-6, 0, 3, 4
Factor -44944*w**2 - 2544*w - 36.
-4*(106*w + 3)**2
Find c, given that 48*c**5 - 100*c**4 - 64*c**3 + 148*c**2 + 16*c - 48 = 0.
-1, -2/3, 3/4, 1, 2
Determine n so that 5*n**2 + 130*n + 800 = 0.
-16, -10
Solve -4*a**3 - 92*a**2 - 444*a - 612 = 0.
-17, -3
Factor -f**2 - 190*f.
-f*(f + 190)
Find v such that -5*v**3/8 - 39*v**2/8 - 9*v + 2 = 0.
-4, 1/5
Factor h**2/7 + 59*h/7 + 660/7.
(h + 15)*(h + 44)/7
Factor -3*d**3/7 + 240*d**2/7 - 2967*d/7 + 390.
-3*(d - 65)*(d - 14)*(d - 1)/7
Let -s**5/6 - 11*s**4/6 + 29*s**3/6 + 97*s**2/2 - 180*s + 162 = 0. Calculate s.
-9, 2, 3
Find d, given that 10*d**5/7 - 124*d**4/7 + 538*d**3/7 - 976*d**2/7 + 712*d/7 - 160/7 = 0.
2/5, 1, 2, 4, 5
Factor 5*b**2 - 2770*b - 5560.
5*(b - 556)*(b + 2)
Factor 2*s**3/5 + 36*s**2/5 + 216*s/5 + 432/5.
2*(s + 6)**3/5
Suppose h**3/3 - 1871*h**2/3 + 3739*h/3 - 623 = 0. Calculate h.
1, 1869
