2 - 20.
(p - 40)*(p + 1)/2
Factor -4*g**2 + 40*g.
-4*g*(g - 10)
Determine x so that 2*x**2/17 - 200*x/17 + 392/17 = 0.
2, 98
Factor -3*m**2 + 102*m + 216.
-3*(m - 36)*(m + 2)
Find u, given that 30*u**2 - 64*u + 8 = 0.
2/15, 2
Factor 2*d**5/3 + 922*d**4 + 425042*d**3 + 195944362*d**2/3.
2*d**2*(d + 461)**3/3
Factor 2*h**3/5 + 8*h**2/5 + 6*h/5.
2*h*(h + 1)*(h + 3)/5
Suppose -5*t**4 + 5470*t**3 - 1501500*t**2 + 2981160*t = 0. Calculate t.
0, 2, 546
Factor y**2/3 - 8*y/3 + 5.
(y - 5)*(y - 3)/3
Solve 25*f**2 - 4870*f - 975 = 0.
-1/5, 195
Let 82*h**2/15 - 1316*h/15 + 64/15 = 0. Calculate h.
2/41, 16
Find d, given that 5*d**4 + 70*d**3 - 240*d**2 - 7040*d - 25600 = 0.
-8, 10
Factor 3*s**3/2 - 12*s**2 - 93*s/2 - 33.
3*(s - 11)*(s + 1)*(s + 2)/2
Let 4*w**2/3 - 152*w + 4332 = 0. What is w?
57
Factor -l**5 + 12*l**4 - 42*l**3 + 52*l**2 - 21*l.
-l*(l - 7)*(l - 3)*(l - 1)**2
Factor 3*y**2 - 2919*y + 2916.
3*(y - 972)*(y - 1)
Solve -w**2/7 - 3*w/7 + 10/7 = 0 for w.
-5, 2
Determine x, given that 15*x**5 - 25*x**4 + 5*x**3 + 5*x**2 = 0.
-1/3, 0, 1
Let -6*d**2/5 + 188*d/5 + 80 = 0. What is d?
-2, 100/3
Suppose 5*b**3/2 + 410*b**2 + 17600*b + 64000 = 0. Calculate b.
-80, -4
Factor 2*i**4/5 - 1966*i**3/5 + 1964*i**2/5.
2*i**2*(i - 982)*(i - 1)/5
Find d, given that -2*d**3/3 - 18*d**2 - 108*d = 0.
-18, -9, 0
Factor -5*f**4 - 25*f**3 + 20*f**2 + 100*f.
-5*f*(f - 2)*(f + 2)*(f + 5)
Find v such that -4*v**5 - 8*v**4 + 47*v**3 - 59*v**2 + 29*v - 5 = 0.
-5, 1/2, 1
Determine a so that -2*a**5/7 + 44*a**4/7 - 288*a**3/7 + 256*a**2/7 + 2048*a/7 = 0.
-2, 0, 8
Factor -b**2 - 105*b + 214.
-(b - 2)*(b + 107)
Factor -3*z**2/7 - 138*z/7 - 264/7.
-3*(z + 2)*(z + 44)/7
Factor t**2 - 80*t/3 - 9.
(t - 27)*(3*t + 1)/3
Factor -2*h**2/7 + 28*h + 606/7.
-2*(h - 101)*(h + 3)/7
Factor t**3/5 + 141*t**2/5 + 888*t - 38332/5.
(t - 7)*(t + 74)**2/5
Suppose -42*b**4 + 142*b**3 + 130*b**2 - 94*b - 40 = 0. Calculate b.
-1, -1/3, 5/7, 4
Suppose -l**3/2 + 99*l**2/2 + 648*l + 1998 = 0. Calculate l.
-6, 111
Factor 5*f**2.
5*f**2
Factor 121*j**5/2 + 77*j**4 - 234*j**3 - 324*j**2.
j**2*(j - 2)*(11*j + 18)**2/2
Solve -8*t**5/7 - 10*t**4/7 + 166*t**3/7 + 50*t**2/7 - 158*t/7 - 40/7 = 0 for t.
-5, -1, -1/4, 1, 4
What is u in 2*u**2/5 + 14328*u/5 + 25661448/5 = 0?
-3582
Factor 5*i**4 - 265*i**3 + 965*i**2 + 825*i - 4410.
5*(i - 49)*(i - 3)**2*(i + 2)
Let -5*q**3 - 1500*q**2 - 104625*q + 1201250 = 0. What is q?
-155, 10
Solve 2*w**4 - 26*w**3 - 104*w**2 + 128*w = 0.
-4, 0, 1, 16
Find o, given that -o**2 - 163*o - 322 = 0.
-161, -2
Factor -10*n**4/3 - 118*n**3/3 - 152*n**2 - 544*n/3 + 128/3.
-2*(n + 4)**3*(5*n - 1)/3
Factor -5*l**2 + 220*l - 2295.
-5*(l - 27)*(l - 17)
Factor -2*a**2/9 - 64*a/3 - 174.
-2*(a + 9)*(a + 87)/9
Let -n**4/4 + n**3/4 + 5*n**2/2 - n - 6 = 0. What is n?
-2, 2, 3
Factor -4*m**4 + 488*m**3 - 14884*m**2.
-4*m**2*(m - 61)**2
Let -8*k**4/9 + 2*k**3/3 + 242*k**2/9 + 20*k/3 = 0. Calculate k.
-5, -1/4, 0, 6
Solve 7*t**5 - 9*t**4 - 19*t**3 + 13*t**2 + 12*t - 4 = 0 for t.
-1, 2/7, 1, 2
Factor 4*z**2/7 - 200*z/7.
4*z*(z - 50)/7
Factor -4*y**3 - 100*y**2 - 188*y - 92.
-4*(y + 1)**2*(y + 23)
Let 2*w**2 - 118*w - 504 = 0. Calculate w.
-4, 63
Determine s, given that 4*s**3 + 2528*s**2 - 2532*s = 0.
-633, 0, 1
Solve 2*b**2/9 + 494*b/9 + 2420/9 = 0 for b.
-242, -5
Factor -z**2/2 - 615*z + 1231/2.
-(z - 1)*(z + 1231)/2
Determine p, given that -p**4 + 45*p**3 - 167*p**2 + 123*p = 0.
0, 1, 3, 41
Let -3993*n**4 + 189486*n**3 - 3280464*n**2 + 24259200*n - 63212544 = 0. What is n?
6, 152/11
Factor -2*i**3/5 + 34*i**2/5 + 8*i - 72/5.
-2*(i - 18)*(i - 1)*(i + 2)/5
Factor -5*t**3/2 + 165*t**2/2 + 925*t + 840.
-5*(t - 42)*(t + 1)*(t + 8)/2
Let k**3 - 25*k**2 + 143*k + 169 = 0. What is k?
-1, 13
Find z, given that -525*z**5/4 + 795*z**4/4 + 204*z**3 - 150*z**2 - 12*z + 12 = 0.
-1, -2/7, 2/5, 2
Suppose j**3 + 4*j**2 - 12*j = 0. Calculate j.
-6, 0, 2
Factor -4*g**5 - 20*g**4 - 28*g**3 - 12*g**2.
-4*g**2*(g + 1)**2*(g + 3)
Factor -3*a**2/4 + 61*a - 81/4.
-(a - 81)*(3*a - 1)/4
Factor -5*s**2/4 + 339*s/4 - 297/2.
-(s - 66)*(5*s - 9)/4
Suppose -d**5/3 + 5*d**4/3 + 3*d**3 - 77*d**2/3 + 112*d/3 - 16 = 0. Calculate d.
-4, 1, 3, 4
Determine m so that 2*m**5/7 - 6*m**3/7 - 4*m**2/7 = 0.
-1, 0, 2
What is y in 5*y**4 + 7015*y**3 - 7020*y**2 = 0?
-1404, 0, 1
Let 2*t**4/3 + 20*t**3/3 + 50*t**2/3 = 0. What is t?
-5, 0
Factor 36*f**5 - 91*f**4 + 59*f**3 + 9*f**2 - 11*f - 2.
(f - 1)**3*(4*f + 1)*(9*f + 2)
Factor o**2/3 - 17*o/3 - 110/3.
(o - 22)*(o + 5)/3
Factor -s**2/8 + 347*s/4 - 120409/8.
-(s - 347)**2/8
Solve -4*d**3 - 136*d**2 + 484*d + 1480 = 0.
-37, -2, 5
Factor -5*i**4 - 225*i**3 + 705*i**2 - 715*i + 240.
-5*(i - 1)**3*(i + 48)
Factor 2*h**4/9 - 40*h**3/3 - 14*h**2 + 244*h/9.
2*h*(h - 61)*(h - 1)*(h + 2)/9
Factor 16*a**4 - 524*a**3 + 2108*a**2 + 560*a.
4*a*(a - 28)*(a - 5)*(4*a + 1)
Let -100*v**3 - 5020*v**2 + 4064*v - 816 = 0. Calculate v.
-51, 2/5
Solve 16*q**5 + 204*q**4 + 716*q**3 + 384*q**2 - 144*q = 0.
-6, -1, 0, 1/4
Find a such that -5*a**5 - 30*a**4 + 50*a**3 + 100*a**2 - 45*a - 70 = 0.
-7, -1, 1, 2
Factor 4*s**4 + 156*s**3 + 1736*s**2 + 4176*s + 2592.
4*(s + 1)*(s + 2)*(s + 18)**2
Factor l**2/4 - 6*l + 23/4.
(l - 23)*(l - 1)/4
Let -2*y**3 - 20*y**2 - 34*y - 16 = 0. Calculate y.
-8, -1
Factor 130*n**2/21 - 262*n/21 + 4/21.
2*(n - 2)*(65*n - 1)/21
Factor 23*w**2/4 + 11*w - 1.
(w + 2)*(23*w - 2)/4
Determine c so that 3*c**3 - 5*c**2/2 - 12*c + 10 = 0.
-2, 5/6, 2
Factor -3*j**3 - 21*j**2 - 36*j.
-3*j*(j + 3)*(j + 4)
Solve 5*z**2 + 80*z - 180 = 0 for z.
-18, 2
Factor 2*l**5 - 148*l**4 + 290*l**3 - 144*l**2.
2*l**2*(l - 72)*(l - 1)**2
Find x such that -2*x**2/9 - 4*x/3 - 10/9 = 0.
-5, -1
Factor 2*j**4/3 + 6*j**3 + 46*j**2/3 + 2*j - 24.
2*(j - 1)*(j + 3)**2*(j + 4)/3
Factor 3*c**4 + 285*c**3 + 561*c**2 + 279*c.
3*c*(c + 1)**2*(c + 93)
Factor 3*h**2/2 - 45*h/2.
3*h*(h - 15)/2
Suppose 4*w**3 + 2164*w**2/7 + 392*w + 608/7 = 0. Calculate w.
-76, -1, -2/7
Find f, given that 3*f**3/2 - 111*f**2/2 + 213*f/2 - 105/2 = 0.
1, 35
Factor -t**3/12 + 13*t**2/12 + 77*t/6 - 190/3.
-(t - 19)*(t - 4)*(t + 10)/12
Suppose 5*a**2 + 70*a - 75 = 0. What is a?
-15, 1
Solve 14*z**4 + 116*z**3 + 214*z**2 + 136*z + 24 = 0 for z.
-6, -1, -2/7
Find c such that -2*c**3 + 5*c**2/2 + 2*c - 5/2 = 0.
-1, 1, 5/4
Solve -4*a**2 + 8408*a - 4418404 = 0.
1051
Suppose 3*g**4 - 18*g**3 - 33*g**2 + 180*g + 300 = 0. Calculate g.
-2, 5
Factor -v**3/4 - 25*v**2/4 - 11*v/2 + 12.
-(v - 1)*(v + 2)*(v + 24)/4
Suppose -2*l**3 + 30*l**2 - 88*l = 0. Calculate l.
0, 4, 11
Suppose i**5/2 - 5*i**4/2 + 3*i**3/2 + 13*i**2/2 - 4*i - 6 = 0. Calculate i.
-1, 2, 3
Factor -2*a**2/13 + 4388*a/13 - 2406818/13.
-2*(a - 1097)**2/13
Factor 5*z**4 + 30*z**3 + 25*z**2.
5*z**2*(z + 1)*(z + 5)
Factor 5*r**5 + 150*r**4.
5*r**4*(r + 30)
Find r, given that 57*r**2 - 198*r + 81 = 0.
9/19, 3
What is d in 19*d**5/4 - 229*d**4/2 + 233*d**3/2 + 103*d**2 - 485*d/4 + 23/2 = 0?
-1, 2/19, 1, 23
Solve -i**3/4 - 9*i**2 - 243*i/4 = 0.
-27, -9, 0
Determine w, given that 14*w**4/5 + 368*w**3/5 - 274*w**2/5 - 108*w/5 = 0.
-27, -2/7, 0, 1
Let 8*s**5 - 214*s**4 + 1506*s**3 - 962*s**2 - 338*s = 0. Calculate s.
-1/4, 0, 1, 13
Solve -k**2/4 + 25/4 = 0.
-5, 5
Solve -3*t**5 - 825*t**4 - 57126*t**3 - 55482*t**2 + 57129*t + 56307 = 0.
-137, -1, 1
Let 3*p**2/5 - 564*p/5 + 26508/5 = 0. What is p?
94
Factor -2*m**2 + 4*m.
-2*m*(m - 2)
Find k, given that 13778*k**4 - 53950*k**3 + 100977*k**2/2 + 4550*k + 98 = 0.
-7/166, 2
Solve -3*g**3 + 6*g**2 + 21*g + 12 = 0.
-1, 4
Factor 2*v**2/17 + 22*v/17 - 84/17.
2*(v - 3)*(v + 14)/17
Let 3*v**4 - 36*v**3 + 60*v**2 + 288*v = 0. Calculate v.
-2, 0, 6, 8
Let -3*r**5 + 4818*r**4 - 1929603*r**3 - 3873672*r**2 - 1939248*r = 0. What is r?
-1, 0, 804
Let -b**2 - 144*b + 145 = 0. What is b?
-145, 1
Factor s**2/2 - 54*s + 1458.
(s - 54)**2/2
Determine p, given that -2*p**3/3 - 50*p**2/3 + 2*p/3 + 50/3 = 0.
-25, -1, 1
Solve x**3/3 - 141*x**2 - 283*x - 425/3 = 0.
-1, 425
Determine y, given that 4*y**2 - 56*y + 52 = 0.
1, 13
Factor 5*q**3 - 70*q**2 + 160*q + 640.
5*(q - 8)**2*(q + 2)
Determine t, given that t**3 - 2*t**2 - 35*t = 0.
-5, 0, 7
Factor -d**3/4 + 5*d**2/2.
-d**2*(d - 10)/4
Suppose -9*t**3/4 - 33*t**2/2 + 375*t/4 + 33 = 0. What is t?
-11, -1/3, 4
Let -3*q**4/5 + 111*q**3/5 + 