0.
0, 2/19, 1/6
Factor -16*r**3 - 520*r**2 - 3953*r + 4489.
-(r - 1)*(4*r + 67)**2
Factor 3*f**2/2 + 465*f + 2763/2.
3*(f + 3)*(f + 307)/2
Factor -c**5 - 31*c**4 - 363*c**3 - 1953*c**2 - 4536*c - 2916.
-(c + 1)*(c + 6)**2*(c + 9)**2
Let -2*u**2/3 - 41084*u/3 - 210986882/3 = 0. Calculate u.
-10271
Let -8*s**4 + 484*s**3 - 5828*s**2 - 46596*s - 21780 = 0. Calculate s.
-5, -1/2, 33
Factor -4*t**5 - 20*t**4 - 32*t**3 - 16*t**2.
-4*t**2*(t + 1)*(t + 2)**2
Factor -135*g**4 - 945*g**3 - 2340*g**2 - 2480*g - 960.
-5*(g + 3)*(3*g + 4)**3
Factor 2*s**2 - 12*s - 14.
2*(s - 7)*(s + 1)
Suppose 3*m**2 + 3372*m + 947532 = 0. Calculate m.
-562
Solve -2*p**2 + 16*p - 30 = 0.
3, 5
Factor 25*g**3 + 230*g**2 + 640*g + 480.
5*(g + 4)**2*(5*g + 6)
Factor -2*o**5/11 - 12*o**4/11 + 16*o**3 - 608*o**2/11 + 864*o/11 - 448/11.
-2*(o - 2)**4*(o + 14)/11
Solve 2*n**2/11 + 2628*n/11 + 863298/11 = 0.
-657
Let -4*k**4 + 80*k**3 - 412*k**2 + 624*k = 0. Calculate k.
0, 3, 4, 13
What is r in 10*r**2/7 - 2*r - 48/7 = 0?
-8/5, 3
Solve -4*n**3/7 + 136*n**2/7 - 1380*n/7 + 3600/7 = 0.
4, 15
Let 2*n**5 + 26*n**4 + 10*n**3 - 170*n**2 - 12*n + 144 = 0. What is n?
-12, -3, -1, 1, 2
Factor 2*p**5 - 12*p**4.
2*p**4*(p - 6)
Factor 3*u**3/4 + 9*u**2/4 + 3*u/2.
3*u*(u + 1)*(u + 2)/4
Let -2*i**4/9 - 82*i**3/9 - 130*i**2/3 + 1034*i/9 - 560/9 = 0. Calculate i.
-35, -8, 1
What is f in -4*f**2 - 988*f - 1960 = 0?
-245, -2
Factor 5*r**3 - 235*r**2.
5*r**2*(r - 47)
Factor -j**4/3 + j**2 + 2*j/3.
-j*(j - 2)*(j + 1)**2/3
Determine p, given that -3*p**2 + 2883*p + 2886 = 0.
-1, 962
Determine h, given that 64*h**2 - 310*h - 50 = 0.
-5/32, 5
Determine w so that -w**3/2 + 32*w**2 - 1349*w/2 + 4693 = 0.
19, 26
Let 5*c**5 + 5*c**4 - 5*c**3 - 5*c**2 = 0. Calculate c.
-1, 0, 1
Factor g**2/7 + 4*g.
g*(g + 28)/7
Factor 3*t**4 - 102*t**3 - 345*t**2 + 444*t.
3*t*(t - 37)*(t - 1)*(t + 4)
Solve -2*z**3/7 - 12*z**2/7 - 6*z/7 + 20/7 = 0.
-5, -2, 1
Suppose 5*t**4 + 65*t**3 + 165*t**2 + 155*t + 50 = 0. What is t?
-10, -1
Suppose 3*j**3 - 42*j**2 + 3*j + 468 = 0. Calculate j.
-3, 4, 13
Solve 2*k**4/15 + 4*k**3/15 + 2*k**2/15 = 0.
-1, 0
What is s in -10*s**2 - 345*s - 1710 = 0?
-57/2, -6
Factor 3*q**3/2 - 45*q**2/2 + 27*q + 324.
3*(q - 12)*(q - 6)*(q + 3)/2
Factor -3*z**4 + 317*z**3 - 24640*z**2/3 - 25600*z/3.
-z*(z + 1)*(3*z - 160)**2/3
Factor -2*j**3/13 - 608*j**2/13.
-2*j**2*(j + 304)/13
Factor -c**2/9 + 36*c + 325/9.
-(c - 325)*(c + 1)/9
What is q in -1752*q**2 - 244*q + 8 = 0?
-1/6, 2/73
Solve -9938*f**2 - 9942*f - 4 = 0 for f.
-1, -2/4969
Suppose -5*w**2 + 165*w + 170 = 0. Calculate w.
-1, 34
Factor -o**3/7 - 421*o**2/7 - 839*o/7 - 419/7.
-(o + 1)**2*(o + 419)/7
Suppose -o**2 - 1784*o - 1783 = 0. What is o?
-1783, -1
Find y such that -y**4/3 + 1963*y**3/3 + 7864*y**2/3 + 7868*y/3 = 0.
-2, 0, 1967
Let p**2 + 22*p - 75 = 0. What is p?
-25, 3
Factor -5*p**3 + 55*p**2 + 280*p + 300.
-5*(p - 15)*(p + 2)**2
Let 5*g**5 - 125*g**4 + 765*g**3 + 1665*g**2 - 15390*g - 29160 = 0. Calculate g.
-3, -2, 9, 12
Suppose d**2/4 + 11*d/4 - 3 = 0. What is d?
-12, 1
Factor 2*r**4 + 12*r**3.
2*r**3*(r + 6)
Find v such that 4*v**4 - 60*v**3 + 288*v**2 - 448*v = 0.
0, 4, 7
Determine b, given that -4*b**2 + 40*b + 44 = 0.
-1, 11
Let 14*m**2 - 122*m - 36 = 0. Calculate m.
-2/7, 9
Factor -2*n**2 - 23060*n - 66470450.
-2*(n + 5765)**2
Solve -3*o**4 - 36*o**3 - 105*o**2 = 0 for o.
-7, -5, 0
What is f in 2*f**5/3 - 2*f**4 - 10*f**3/3 + 2*f**2 + 8*f/3 = 0?
-1, 0, 1, 4
Factor -2*f**2/5 + 276*f/5 - 9522/5.
-2*(f - 69)**2/5
Factor b**2/3 - b - 168.
(b - 24)*(b + 21)/3
Suppose -5*w**5 + 1585*w**4 - 127965*w**3 + 372875*w**2 - 246490*w = 0. Calculate w.
0, 1, 2, 157
Let 3*i**2 + 177*i - 1386 = 0. Calculate i.
-66, 7
Factor -q**3/3 - 988*q**2/3.
-q**2*(q + 988)/3
Determine p so that 2*p**4/15 - 26*p**3/5 + 74*p**2/5 - 218*p/15 + 24/5 = 0.
1, 36
Solve 27*d**3 - 210*d**2 - 48*d = 0 for d.
-2/9, 0, 8
Factor -4*d**3/9 - 4*d**2/9 + 104*d/9 - 32/3.
-4*(d - 4)*(d - 1)*(d + 6)/9
Let -2*l**2/5 + 674*l/5 = 0. Calculate l.
0, 337
Factor -h**2/3 - 121*h/3 - 238/3.
-(h + 2)*(h + 119)/3
Suppose -4*i**3 + 792*i**2 + 3220*i + 2424 = 0. What is i?
-3, -1, 202
Suppose 4*t**4/7 + 24*t**3/7 - 148*t**2/7 + 120*t/7 = 0. What is t?
-10, 0, 1, 3
Factor -3*a**2/2 - 147*a/2 + 75.
-3*(a - 1)*(a + 50)/2
Factor -5*v**3 - 750*v**2 - 2205*v.
-5*v*(v + 3)*(v + 147)
Factor -2*f**3 + 64*f**2 - 442*f + 644.
-2*(f - 23)*(f - 7)*(f - 2)
Factor -3*b**2/5 + 54*b/5 - 51/5.
-3*(b - 17)*(b - 1)/5
Determine b so that -3*b**2 + 18*b - 24 = 0.
2, 4
Find f such that f**2/2 + 16*f + 120 = 0.
-20, -12
Factor 4*r**2 - 432*r + 428.
4*(r - 107)*(r - 1)
Determine y, given that 12*y**3 + 76*y**2 + 116*y + 52 = 0.
-13/3, -1
Find k such that 4*k**2/7 - 52*k/7 + 24 = 0.
6, 7
Find j, given that j**4/4 - 35*j**3/4 + 33*j**2/2 = 0.
0, 2, 33
Factor w**3/4 - 5*w**2/2 - 23*w/4 - 3.
(w - 12)*(w + 1)**2/4
Factor -4*g**3/3 - 1396*g**2/3 - 5536*g/3 - 1840.
-4*(g + 2)**2*(g + 345)/3
Solve -c**4/5 - c**3/5 + 6*c**2/5 + 4*c/5 - 8/5 = 0.
-2, 1, 2
Determine t, given that 2*t**3 + 96*t**2 - 122*t - 1176 = 0.
-49, -3, 4
Solve -f**3/9 + 101*f**2/3 - 2567*f + 22801/9 = 0 for f.
1, 151
Factor 3*g**3 + 84*g**2 + 603*g + 1134.
3*(g + 3)*(g + 7)*(g + 18)
Let 4*i**4 - 1088*i**3 - 13440*i**2 - 54272*i - 72704 = 0. Calculate i.
-4, 284
Factor 2*b**3/3 + 4*b**2/3 - 128*b/3 - 256/3.
2*(b - 8)*(b + 2)*(b + 8)/3
Solve f**3 - 1416*f**2 + 501264*f = 0 for f.
0, 708
Let -11*y**5/6 + 13*y**4/3 + 13*y**3/2 - 9*y**2 = 0. Calculate y.
-18/11, 0, 1, 3
Solve 16*t**4 - 332*t**3 + 1292*t**2 + 4568*t + 1056 = 0 for t.
-2, -1/4, 11, 12
What is m in -3*m**2/2 - 15*m/2 + 9 = 0?
-6, 1
Factor 5*m**5/4 - 45*m**4/2 + 120*m**3 - 160*m**2.
5*m**2*(m - 8)**2*(m - 2)/4
Factor -4*o**3 + 288*o**2 - 1068*o - 1360.
-4*(o - 68)*(o - 5)*(o + 1)
Let -f**3/4 - 72*f**2 - 143*f = 0. Calculate f.
-286, -2, 0
Find r, given that 15*r**4/2 + 185*r**3/3 + 665*r**2/6 + 200*r/3 + 10 = 0.
-6, -1, -2/9
Find g such that -14*g**4 + 37*g**3/3 + 511*g**2/3 + 58*g/3 - 8 = 0.
-3, -2/7, 1/6, 4
Find c such that -3*c**3/4 + 3*c**2/4 + 3*c - 3 = 0.
-2, 1, 2
Find j such that -2*j**2/7 - 44*j/7 + 208/7 = 0.
-26, 4
Find a, given that a**2/5 - 12*a/5 = 0.
0, 12
Factor -h**3 + 20*h**2 - 84*h.
-h*(h - 14)*(h - 6)
Factor 2*k**4/9 - 1052*k**3/9 + 137282*k**2/9 + 92576*k/3 + 15488.
2*(k - 264)**2*(k + 1)**2/9
Find i, given that 2*i**5 + 30*i**4 + 144*i**3 + 208*i**2 - 96*i - 288 = 0.
-6, -2, 1
Determine t so that t**3/7 + 24*t**2/7 + 101*t/7 + 114/7 = 0.
-19, -3, -2
Solve z**3/4 - 43*z/4 + 21/2 = 0.
-7, 1, 6
Find m, given that -3*m**4/2 - 18*m**3 - 159*m**2/2 - 153*m - 108 = 0.
-4, -3, -2
Find v such that v**4/4 - 15*v**3/4 + 39*v**2/4 - 37*v/4 + 3 = 0.
1, 12
Factor -5*q**2 + 11970*q + 23960.
-5*(q - 2396)*(q + 2)
Factor 25*z**2 + 33*z - 126.
(z + 3)*(25*z - 42)
Find x, given that -15*x**4 + 100*x**3 + 305*x**2 + 90*x = 0.
-2, -1/3, 0, 9
Factor -2*k**2 + 66*k - 540.
-2*(k - 18)*(k - 15)
Find j such that -j**2/3 - 19*j/3 - 34/3 = 0.
-17, -2
Determine i, given that 4*i**3 + 420*i**2 + 9900*i - 60500 = 0.
-55, 5
Solve w**2/5 - 496*w/5 + 61504/5 = 0 for w.
248
Factor i**2/3 - 100*i/3 + 2500/3.
(i - 50)**2/3
What is d in 2*d**4 + 192*d**3 - 196*d**2 - 192*d + 194 = 0?
-97, -1, 1
Suppose -104*l**4/5 - 322*l**3/5 - 26*l**2/5 + 12*l/5 = 0. What is l?
-3, -1/4, 0, 2/13
Factor -2*b**4 - 144*b**3.
-2*b**3*(b + 72)
Factor -b**4/9 + 4*b**3/3 - 17*b**2/3 + 88*b/9 - 16/3.
-(b - 4)**2*(b - 3)*(b - 1)/9
Suppose 5*y**3 - 115*y**2 + 860*y - 2100 = 0. Calculate y.
6, 7, 10
Factor -2*n**2/5 + 4*n - 18/5.
-2*(n - 9)*(n - 1)/5
Suppose -2*s**4/13 - 10*s**3/13 - 6*s**2/13 + 18*s/13 = 0. Calculate s.
-3, 0, 1
Find h, given that -h**2/5 + 3*h/5 + 36 = 0.
-12, 15
Let 30*d**2 + 32*d - 56 = 0. Calculate d.
-2, 14/15
Factor 5*f**4 - 20*f**3 - 15*f**2 + 70*f - 40.
5*(f - 4)*(f - 1)**2*(f + 2)
Determine u so that 2*u**3 - 76*u**2 + 722*u = 0.
0, 19
Solve -t**2/3 - 52*t - 2028 = 0.
-78
What is y in -3*y**2/8 + 285*y - 6813/8 = 0?
3, 757
What is q in -2*q**3 - 10*q**2 - 14*q - 6 = 0?
-3, -1
Suppose 48*k**2 - 972*k + 19683/4 = 0. What is k?
81/8
Factor -k**2 - 16*k + 36.
-(k - 2)*(k + 18)
Determine m so that -4*m**5 - 40*m**4 - 32*m**3 + 40*m**2 + 36*m = 0.
-9, -1, 0, 1
Determine b so that 2*b**5/5 - 22*b**4/5 - 108*b**3/5 - 