
-73, -2
Determine q, given that -q**5/5 + 4*q**4/5 - q**3 + 2*q**2/5 = 0.
0, 1, 2
Factor 2*a**3 + 22*a**2 - 28*a - 48.
2*(a - 2)*(a + 1)*(a + 12)
Let -3*w**2 - 19194*w - 30700803 = 0. Calculate w.
-3199
Factor -49298*u**3/5 - 96712*u**2/5 + 750*u - 36/5.
-2*(u + 2)*(157*u - 3)**2/5
Factor 2*j**2 + 14*j.
2*j*(j + 7)
What is r in -4*r**4 + 24*r**3 - 36*r**2 - 16*r + 48 = 0?
-1, 2, 3
Factor -3*g**3/5 - 6*g**2 + 72*g/5.
-3*g*(g - 2)*(g + 12)/5
Let 3*a**2/5 + 5592*a/5 + 2605872/5 = 0. What is a?
-932
Suppose 2*i**4 - 38*i**3 + 228*i**2 - 512*i + 320 = 0. Calculate i.
1, 4, 10
Find n such that 2*n**4/5 + 12*n**3/5 - 62*n**2/5 - 48*n = 0.
-8, -3, 0, 5
Factor -u**2/2 + 5771*u - 33304441/2.
-(u - 5771)**2/2
Factor a**3 + 447*a**2.
a**2*(a + 447)
Suppose 99*d**2 + 102*d + 3 = 0. Calculate d.
-1, -1/33
Solve -k**5 + 9*k**4 - 14*k**3 - 56*k**2 + 96*k + 128 = 0 for k.
-2, -1, 4
Factor -t**2/2 + 12*t + 81/2.
-(t - 27)*(t + 3)/2
Factor 3*v**3 + 3*v**2 - 11235*v + 260925.
3*(v - 35)**2*(v + 71)
Determine p so that 243*p**4 - 1704*p**3 + 2694*p**2 - 1248*p + 15 = 0.
1/81, 1, 5
Factor 4*o**3 - 116*o**2 - 376*o - 256.
4*(o - 32)*(o + 1)*(o + 2)
Factor 2*r**4/7 + 164*r**3/7 + 314*r**2/7 - 480*r/7.
2*r*(r - 1)*(r + 3)*(r + 80)/7
Suppose 5*y**2 + 10*y = 0. Calculate y.
-2, 0
Solve -833*c**5/4 + 3619*c**4/2 - 10547*c**3/4 + 2509*c**2/2 - 233*c + 14 = 0.
2/17, 2/7, 1, 7
Factor 5*w**4/3 - 34*w**3/3 + 49*w**2/3 - 20*w/3.
w*(w - 5)*(w - 1)*(5*w - 4)/3
Factor -2*i**2/17 + 180*i/17 - 4050/17.
-2*(i - 45)**2/17
Solve -5*r**4/3 + 40*r**3 + 125*r**2/3 = 0.
-1, 0, 25
Factor -g**5 + 9*g**4 - 25*g**3 + 27*g**2 - 10*g.
-g*(g - 5)*(g - 2)*(g - 1)**2
Suppose 4*m**3 - 64*m**2 + 112*m = 0. Calculate m.
0, 2, 14
Find k such that 2*k**2 - 3564*k + 1587762 = 0.
891
Factor y**5/4 + 7*y**4/4 + 5*y**3/2.
y**3*(y + 2)*(y + 5)/4
Factor 441*g**5 - 1743*g**4 + 2683*g**3 - 2001*g**2 + 720*g - 100.
(g - 1)**3*(21*g - 10)**2
Factor -3*j**3/5 - 807*j**2/5 + 327*j + 2439/5.
-3*(j - 3)*(j + 1)*(j + 271)/5
Factor 66*w**2/5 - 991*w/5 + 3.
(w - 15)*(66*w - 1)/5
Solve -3*y**3/8 + 3951*y**2/8 - 1479*y + 1971/2 = 0.
1, 2, 1314
Find w, given that w**2/4 + 25*w/2 + 156 = 0.
-26, -24
Determine i so that -2*i**4 + 8*i**3 + 24*i**2 - 64*i - 128 = 0.
-2, 4
Determine x, given that 4*x**2 + 96*x + 252 = 0.
-21, -3
Determine q so that 2*q**4 + 270*q**3 - 546*q**2 + 274*q = 0.
-137, 0, 1
Find t such that 24*t**5 - 260*t**4/7 + 96*t**3/7 - 4*t**2/7 = 0.
0, 1/21, 1/2, 1
Determine b, given that -2*b**2 + 370*b - 368 = 0.
1, 184
Factor -12*t**3 - 536*t**2 - 1360*t - 672.
-4*(t + 2)*(t + 42)*(3*t + 2)
What is u in 5*u**4 - 270*u**3 + 765*u**2 + 20*u - 1020 = 0?
-1, 2, 51
Find h such that h**4/11 + 14*h**3/11 - 111*h**2/11 + 16*h - 80/11 = 0.
-20, 1, 4
Factor -13*m**3/9 - 20*m**2/9 - m/9 + 2/3.
-(m + 1)**2*(13*m - 6)/9
What is y in 3*y**5/2 + 8*y**4 + 29*y**3/2 + 10*y**2 + 2*y = 0?
-2, -1, -1/3, 0
Solve -16*c**3 + 4*c**2 + 16*c - 4 = 0.
-1, 1/4, 1
Suppose 2*c**2/7 + 328*c/7 + 648/7 = 0. Calculate c.
-162, -2
Factor 2*w**3/17 + 44*w**2/17 + 152*w/17 + 144/17.
2*(w + 2)**2*(w + 18)/17
Factor m**4 + 2*m**3 - m**2 - 2*m.
m*(m - 1)*(m + 1)*(m + 2)
Suppose -2*b**5/7 + 2*b**4 + 16*b**3/7 = 0. Calculate b.
-1, 0, 8
Find t, given that t**2/6 + 631*t/3 + 1261/6 = 0.
-1261, -1
Suppose m**3/2 - 25*m**2 - 1207*m/2 - 578 = 0. What is m?
-17, -1, 68
Factor 5*m**2 + 980*m + 975.
5*(m + 1)*(m + 195)
Let -35*w**3 - 25735*w**2 + 18410*w + 7360 = 0. What is w?
-736, -2/7, 1
Factor 25*f**3 - 155*f**2 + 230*f - 40.
5*(f - 4)*(f - 2)*(5*f - 1)
Let c**2 + 2097*c + 2096 = 0. Calculate c.
-2096, -1
Suppose -3*y**4 - 549*y**3/4 - 201*y**2/2 + 135*y/4 = 0. Calculate y.
-45, -1, 0, 1/4
Factor -4*c**4 - 88*c**3 - 288*c**2 + 856*c - 476.
-4*(c - 1)**2*(c + 7)*(c + 17)
Suppose 2*g**3/3 - 48*g**2 + 352*g - 2048/3 = 0. Calculate g.
4, 64
What is v in -3*v**2/4 - 87*v/8 - 21/4 = 0?
-14, -1/2
Factor 2*i**4 - 30*i**3 - 68*i**2.
2*i**2*(i - 17)*(i + 2)
Factor 2*f**5/5 + 6*f**4 + 96*f**3/5 - 128*f**2/5.
2*f**2*(f - 1)*(f + 8)**2/5
What is b in -1611*b**5 - 2130*b**4 + 919*b**3 + 2138*b**2 + 692*b - 8 = 0?
-1, -2/3, 2/179, 1
Determine o, given that -4*o**5 + 68*o**4/3 - 76*o**3/3 - 12*o**2 + 88*o/3 - 32/3 = 0.
-1, 2/3, 1, 4
Determine c, given that -4*c**4 - 8*c**3 + 192*c**2 + 392*c + 196 = 0.
-7, -1, 7
Solve -l**4/7 - 3*l**3 + 246*l**2/7 - 100*l + 600/7 = 0.
-30, 2, 5
Factor -2*k**2/5 - 28*k/5 - 66/5.
-2*(k + 3)*(k + 11)/5
Determine z, given that 2*z**3/7 + 6*z**2 - 2*z/7 - 6 = 0.
-21, -1, 1
Determine m so that -2*m**3 + 1914*m**2 - 458880*m + 456968 = 0.
1, 478
Suppose 2*m**3 + 154*m**2 - 640*m + 648 = 0. What is m?
-81, 2
Factor -m**4/2 - 89*m**3/2 - 2109*m**2/2 - 5719*m/2 - 1849.
-(m + 1)*(m + 2)*(m + 43)**2/2
Factor 5*v**4 - 280*v**3 + 270*v**2 + 280*v - 275.
5*(v - 55)*(v - 1)**2*(v + 1)
Solve -5*l**5 - 50*l**4 - 110*l**3 + 120*l**2 + 315*l - 270 = 0 for l.
-6, -3, 1
Factor 5*i**4 - 70*i**3 - 335*i**2 - 440*i - 180.
5*(i - 18)*(i + 1)**2*(i + 2)
Factor -4*w**2 - 6280*w - 2464900.
-4*(w + 785)**2
Determine z so that -4*z**4/5 + 4*z**3 - 28*z**2/5 + 12*z/5 = 0.
0, 1, 3
Determine x so that 5*x**2 + 350*x + 345 = 0.
-69, -1
Factor 5*g**4 - 60*g**3 - 305*g**2 - 240*g.
5*g*(g - 16)*(g + 1)*(g + 3)
Suppose -2*q**3/11 - 152*q**2/11 = 0. Calculate q.
-76, 0
Factor 2*u**2/5 - 28*u/5 + 48/5.
2*(u - 12)*(u - 2)/5
Factor -3*l**3 + 27*l**2 + 63*l + 33.
-3*(l - 11)*(l + 1)**2
Find c, given that -c**5/4 + 2*c**4 - 19*c**3/4 + 2*c**2 + 5*c - 4 = 0.
-1, 1, 2, 4
Factor -a**2/4 + 49*a + 597/4.
-(a - 199)*(a + 3)/4
Factor -3*k**4 - 237*k**3 - 228*k**2 + 468*k.
-3*k*(k - 1)*(k + 2)*(k + 78)
Solve 5*v**2 + 595*v + 590 = 0.
-118, -1
Let 2*t**2/9 + 148*t/3 - 150 = 0. Calculate t.
-225, 3
Factor 4*v**4/5 + 952*v**3/5 + 60324*v**2/5 + 87584*v + 169280.
4*(v + 4)**2*(v + 115)**2/5
Find l, given that -80*l**5 - 40*l**4 + 1035*l**3 + 1480*l**2 + 545*l + 60 = 0.
-3, -1, -1/4, 4
Find z, given that -5*z**2 - 170*z - 465 = 0.
-31, -3
Factor -2*a**3/9 - 58*a**2/9 + 122*a/9 - 62/9.
-2*(a - 1)**2*(a + 31)/9
Solve i**4 + 80*i**3 - 163*i**2 + 82*i = 0 for i.
-82, 0, 1
Solve -3*o**2 + 276*o - 6348 = 0.
46
Suppose 22*d**3/3 + 35*d**2/2 + 43*d/6 - 3 = 0. What is d?
-18/11, -1, 1/4
Determine a, given that a**4/3 - 7*a**3/3 - 73*a**2 - 193*a/3 + 418/3 = 0.
-11, -2, 1, 19
Suppose 3*w**4 + 48*w**3 + 87*w**2 + 42*w = 0. Calculate w.
-14, -1, 0
Determine k so that k**3/2 - 19*k**2/2 + 22*k + 32 = 0.
-1, 4, 16
Suppose t**3/3 - 2*t**2/3 + t/3 = 0. What is t?
0, 1
Determine k so that -2*k**4 + 24*k**3 + 294*k**2 + 508*k + 240 = 0.
-6, -1, 20
Factor l**4 + 16*l**3 + 64*l**2.
l**2*(l + 8)**2
Factor -4*z**3 + 12*z**2 + 100*z + 84.
-4*(z - 7)*(z + 1)*(z + 3)
Let 16*g**3/7 + 2020*g**2/7 + 2476*g/7 - 3000/7 = 0. What is g?
-125, -2, 3/4
Factor q**2/3 - 16154*q/3 + 65237929/3.
(q - 8077)**2/3
Factor 4*p**4 - 3432*p**3 - 3440*p**2 + 3432*p + 3436.
4*(p - 859)*(p - 1)*(p + 1)**2
Let -w**3/3 - 5*w**2/3 + 4*w + 12 = 0. What is w?
-6, -2, 3
Determine i, given that 2*i**4 - 14*i**3 - 6*i**2 + 110*i + 100 = 0.
-2, -1, 5
Determine n so that 2*n**2/7 - 2*n - 36/7 = 0.
-2, 9
Factor -3*j**5 - 18*j**4 - 15*j**3.
-3*j**3*(j + 1)*(j + 5)
Find c, given that -2*c**4/11 - 104*c**3/11 - 2028*c**2/11 - 17576*c/11 - 57122/11 = 0.
-13
Factor 4*r**3/5 + 2112*r**2/5 + 371712*r/5 + 21807104/5.
4*(r + 176)**3/5
Factor 4*o**4 - 152*o**3 + 1440*o**2 + 152*o - 1444.
4*(o - 19)**2*(o - 1)*(o + 1)
Suppose -v**2/2 + 90*v - 2171/2 = 0. Calculate v.
13, 167
Solve -3*s**3 - 81*s**2 + 363*s - 279 = 0 for s.
-31, 1, 3
Let 5*b**5 + 170*b**4 + 1750*b**3 + 5260*b**2 + 5925*b + 2250 = 0. Calculate b.
-15, -2, -1
Factor -2*j**3/17 - 14*j**2/17 - 14*j/17 + 30/17.
-2*(j - 1)*(j + 3)*(j + 5)/17
Determine w, given that 5*w**3 + 470*w**2 + 11045*w = 0.
-47, 0
Factor -f**2/3 + 11*f/3 - 6.
-(f - 9)*(f - 2)/3
Determine v, given that 10*v**4/7 - 14*v**3 - 130*v**2/7 - 22*v/7 = 0.
-1, -1/5, 0, 11
Determine j so that -5*j**5 - 225*j**4 - 3315*j**3 - 17315*j**2 - 25560*j - 11340 = 0.
-18, -7, -1
Find p such that -p**2/7 + 102*p - 713/7 = 0.
1, 713
Suppose 9*b**3 + 120*b**2 - 84*b = 0. Calculate b.
-14, 0, 2/3
Suppose -3*q**3 - 13815*q**2 - 21206025*q - 10850416125 = 0. What is q?
-1535
What is v in -15*v**5/7 - 48*v**4/7 + 18*v**3 + 372*v**2/7 + 249*v/7 + 