/5
Find t such that -t**2 + 5*t + 66 = 0.
-6, 11
Factor b**2/3 + 82*b/3 + 1681/3.
(b + 41)**2/3
Suppose z**4 + 9*z**3 + 8*z**2 = 0. Calculate z.
-8, -1, 0
Let -6*i**2 + 15*i + 9 = 0. What is i?
-1/2, 3
Solve 2*s**5/9 + 2*s**4/9 - 46*s**3/9 + 26*s**2/3 - 4*s = 0 for s.
-6, 0, 1, 3
Factor -o**3/5 + 27*o**2/5 + 273*o/5 + 49.
-(o - 35)*(o + 1)*(o + 7)/5
Let -2*x**5 - 8*x**4 + 100*x**3 + 328*x**2 + 334*x + 112 = 0. What is x?
-8, -1, 7
Let 4*a**4/5 + 18*a**3/5 + 6*a**2/5 - 8*a/5 = 0. What is a?
-4, -1, 0, 1/2
Suppose 320*t**5 + 60*t**4 - 240*t**3 + 35*t**2 + 15*t = 0. What is t?
-1, -3/16, 0, 1/2
Find x such that 2*x**2/19 - 1264*x/19 + 199712/19 = 0.
316
Solve 3*i**4 + 15*i**3 - 75*i**2 - 15*i + 72 = 0.
-8, -1, 1, 3
Factor 4*l**3/5 + 81*l**2 - 1147*l/5 - 312/5.
(l - 3)*(l + 104)*(4*l + 1)/5
Solve -105*z**3/2 + 717*z**2/2 - 270*z + 54 = 0 for z.
2/5, 3/7, 6
Factor 3*w**2 + 3*w.
3*w*(w + 1)
Suppose h**2/8 + 111*h/8 - 113/4 = 0. Calculate h.
-113, 2
Factor 2*q**5 + 106*q**4 + 680*q**3 + 1696*q**2 + 1856*q + 736.
2*(q + 1)*(q + 2)**3*(q + 46)
Factor 3*w**5 - 12*w**4 + 12*w**3 + 6*w**2 - 15*w + 6.
3*(w - 2)*(w - 1)**3*(w + 1)
Factor -2*v**2/5 - 112*v/5 + 234.
-2*(v - 9)*(v + 65)/5
Suppose -2*x**3 - 6*x**2 = 0. Calculate x.
-3, 0
Factor -5*z**3 - 25*z**2 - 30*z.
-5*z*(z + 2)*(z + 3)
Factor 4*m**4 - 80*m**3 + 372*m**2 - 504*m.
4*m*(m - 14)*(m - 3)**2
Factor 7*z**2/5 + z - 2/5.
(z + 1)*(7*z - 2)/5
Find r such that 2*r**5/11 - 148*r**4/11 + 4304*r**3/11 - 61344*r**2/11 + 38880*r - 1166400/11 = 0.
10, 18
Let 2*p**4/7 + 2*p**3 - 26*p**2/7 - 86*p/7 - 48/7 = 0. Calculate p.
-8, -1, 3
Let 8*x**5/7 - 58*x**4/7 + 2*x**3 = 0. Calculate x.
0, 1/4, 7
Suppose 2*a**3/5 - 34*a**2 + 168*a/5 = 0. What is a?
0, 1, 84
Determine k so that 6*k**3/7 - 50*k**2/7 + 72*k/7 + 72/7 = 0.
-2/3, 3, 6
Solve 18*h**4 + 194*h**3 + 496*h**2 - 120*h = 0.
-6, -5, 0, 2/9
Factor 2*i**3 - 14*i**2 + 14*i + 30.
2*(i - 5)*(i - 3)*(i + 1)
Determine g so that 15*g**5/7 + 36*g**4/7 - 33*g**3/7 - 18*g**2/7 = 0.
-3, -2/5, 0, 1
Factor -2*y**2/5 + 184*y/5.
-2*y*(y - 92)/5
Let -3*u**5/4 - 3*u**4/2 = 0. Calculate u.
-2, 0
Factor -3*g**2/4 + 66*g - 252.
-3*(g - 84)*(g - 4)/4
Find i, given that -4*i**3 - 436*i**2 + 448*i + 880 = 0.
-110, -1, 2
Factor -3*p**5/2 - 2*p**4 + 13*p**3/3 + 10*p**2/3 - 25*p/6.
-p*(p - 1)**2*(3*p + 5)**2/6
Solve -2*n**2 - 60*n - 112 = 0.
-28, -2
Factor -3*k**3/2 - 31*k**2/2 - 4*k + 10.
-(k + 1)*(k + 10)*(3*k - 2)/2
Determine i, given that i**3/5 + 23*i**2 + 3672*i/5 + 20412/5 = 0.
-54, -7
Factor -l**3 + 39*l**2 - 36*l - 76.
-(l - 38)*(l - 2)*(l + 1)
Factor -p**2/2 + 197*p/2 + 99.
-(p - 198)*(p + 1)/2
Factor 15*a**3 + 1045*a**2 - 1440*a - 1420.
5*(a - 2)*(a + 71)*(3*a + 2)
Factor 27*n**2/2 + 39*n - 252.
3*(n + 6)*(9*n - 28)/2
Find t such that -4*t**4/7 - 76*t**3/7 - 40*t**2/7 + 624*t/7 + 864/7 = 0.
-18, -2, 3
Solve j**4/2 - 30*j**3 - 131*j**2/2 + 219*j - 124 = 0 for j.
-4, 1, 62
Let -s**4/5 - s**3/5 + 2*s**2/5 = 0. What is s?
-2, 0, 1
Let s**5/2 + 4*s**4 - 73*s**3/2 + 74*s**2 - 42*s = 0. What is s?
-14, 0, 1, 2, 3
Let q**5/7 - 11*q**3/7 - 18*q**2/7 - 8*q/7 = 0. Calculate q.
-2, -1, 0, 4
Let 2*h**3/5 - 46*h**2/5 - 42*h - 162/5 = 0. What is h?
-3, -1, 27
Factor d**4/2 + 3*d**3 + 13*d**2/2 + 6*d + 2.
(d + 1)**2*(d + 2)**2/2
Solve -w**3 + 38*w**2 - 396*w + 648 = 0 for w.
2, 18
Find j such that -j**4/4 + 6*j**3 - 11*j**2/2 - 6*j + 23/4 = 0.
-1, 1, 23
Suppose 2*l**3/7 + 10364*l**2/7 + 13426562*l/7 = 0. Calculate l.
-2591, 0
Factor 4*f**3/7 + 2440*f**2/7 + 348*f.
4*f*(f + 1)*(f + 609)/7
Suppose -w**4 + 3*w**2 + 2*w = 0. What is w?
-1, 0, 2
Factor -c**4/2 - 9*c**3 - 97*c**2/2 - 72*c - 32.
-(c + 1)**2*(c + 8)**2/2
Factor 2*x**4/7 - 90*x**3/7 + 484*x**2/7 - 624*x/7.
2*x*(x - 39)*(x - 4)*(x - 2)/7
Solve 3*f**4 - 24*f**3 - 87*f**2 + 216*f + 540 = 0.
-3, -2, 3, 10
Factor -8*i**3/15 - 30*i**2 - 2128*i/5 - 1568/15.
-2*(i + 28)**2*(4*i + 1)/15
Find m, given that -2*m**5/11 - 26*m**4/11 - 8*m**3 - 64*m**2/11 = 0.
-8, -4, -1, 0
Determine q so that 3*q**4 - 192*q**3 + 1365*q**2 - 1176*q = 0.
0, 1, 7, 56
Solve 5*k**5 - 95*k**4 - 15*k**3 + 275*k**2 + 190*k = 0.
-1, 0, 2, 19
Let -15*t**5 + 130*t**4 - 65*t**3 - 130*t**2 + 80*t = 0. What is t?
-1, 0, 2/3, 1, 8
Solve 2*c**3 - 24*c**2 - 986*c = 0 for c.
-17, 0, 29
Factor -g**2/4 - 20*g.
-g*(g + 80)/4
Factor -o**5/8 + 4*o**4 + 599*o**3/8 - 5615*o**2/4 - 56575*o/2 - 120125.
-(o - 31)**2*(o + 10)**3/8
Solve 5*y**4/4 + 165*y**3/2 = 0 for y.
-66, 0
Solve -l**2/5 + 8306*l/5 - 17247409/5 = 0 for l.
4153
Determine i, given that -2*i**5/3 - 958*i**4/3 - 114238*i**3/3 + 116158*i**2/3 + 38080*i - 38400 = 0.
-240, -1, 1
Determine a, given that 1250*a**2/13 + 1400*a/13 + 392/13 = 0.
-14/25
Factor 5*h**2 + 90*h - 2720.
5*(h - 16)*(h + 34)
Factor 3*w**2 + 903*w + 900.
3*(w + 1)*(w + 300)
Factor 2*y**3/7 - 5778*y**2/7 + 4176048*y/7 - 4170272/7.
2*(y - 1444)**2*(y - 1)/7
Find n such that 6*n**5/13 + 28*n**4/13 + 8*n**3/13 - 36*n**2/13 - 14*n/13 + 8/13 = 0.
-4, -1, 1/3, 1
Factor -3*q**2/7 - 486*q/7 - 960/7.
-3*(q + 2)*(q + 160)/7
Factor -u**3/4 - u**2/4 + u/4 + 1/4.
-(u - 1)*(u + 1)**2/4
Suppose 25*m**5 - 1060*m**4 - 6580*m**3 - 6800*m**2 + 3840*m = 0. Calculate m.
-4, -2, 0, 2/5, 48
Find z, given that -2*z**5 + 18*z**4 - 38*z**3 + 6*z**2 + 40*z - 24 = 0.
-1, 1, 2, 6
Factor -9*i**3 - 312*i**2 + 105*i.
-3*i*(i + 35)*(3*i - 1)
Solve -z**4/5 + 19*z**3/5 - 74*z**2/5 - 44*z + 120 = 0.
-3, 2, 10
Factor 121*c**4/6 - 187*c**3/2 - 36*c**2 - 10*c/3.
c*(c - 5)*(11*c + 2)**2/6
What is s in 2*s**5/5 - 44*s**4/5 + 282*s**3/5 - 224*s**2/5 - 392*s = 0?
-2, 0, 7, 10
Factor g**2/2 + 13*g/2 - 24.
(g - 3)*(g + 16)/2
Determine r so that -5*r**3 + 14*r**2 + 5*r - 14 = 0.
-1, 1, 14/5
Factor a**5/6 + a**4 - 5*a**3/3 - 8*a**2/3 + 11*a/2 - 7/3.
(a - 1)**3*(a + 2)*(a + 7)/6
Factor 14*q**2/11 - 2454*q/11 - 160.
2*(q - 176)*(7*q + 5)/11
Factor -y**3/3 + 17*y**2 + 58*y/3 - 104.
-(y - 52)*(y - 2)*(y + 3)/3
Factor a**3 - 1250*a**2 + 389372*a + 783752.
(a - 626)**2*(a + 2)
Suppose 4*y**3/5 - 68*y**2/5 + 352*y/5 - 576/5 = 0. What is y?
4, 9
Suppose 4*l**2 + 48*l - 112 = 0. Calculate l.
-14, 2
Factor -4*v**2 - 11264*v - 7929856.
-4*(v + 1408)**2
Factor -3*c**2 - 4230*c - 1491075.
-3*(c + 705)**2
Factor 12*l**2 - 70*l/3 - 4/3.
2*(l - 2)*(18*l + 1)/3
Factor 2*k**2/11 + 64*k/11 + 62/11.
2*(k + 1)*(k + 31)/11
Factor 15*w**4 + 42*w**3 - 81*w**2 - 24*w + 48.
3*(w - 1)**2*(w + 4)*(5*w + 4)
Solve -2*i**4/11 - 108*i**3/11 + 342*i**2/11 = 0 for i.
-57, 0, 3
Factor -3*k**2 - 318*k - 624.
-3*(k + 2)*(k + 104)
Determine i, given that 2*i**2/3 - 62*i/3 + 476/3 = 0.
14, 17
Factor -27*f**5 - 15*f**4 + 12*f**3.
-3*f**3*(f + 1)*(9*f - 4)
Determine l, given that 2*l**2 - 72*l + 70 = 0.
1, 35
Factor -2*g**3 - 9*g**2 + 24*g + 112.
-(g + 4)**2*(2*g - 7)
Factor l**5/5 - 2*l**4/5 - 2*l**3/5 + 8*l**2/5 - 7*l/5 + 2/5.
(l - 1)**4*(l + 2)/5
Factor o**5/2 + 2*o**4 - 8*o**2 - 8*o.
o*(o - 2)*(o + 2)**3/2
Factor c**2 - 47*c + 420.
(c - 35)*(c - 12)
Solve 5*b**4 + 190*b**3 - 645*b**2 - 1190*b + 1640 = 0 for b.
-41, -2, 1, 4
Suppose -3*m**3/7 + 30*m**2/7 + 33*m/7 = 0. What is m?
-1, 0, 11
Factor d**2/2 + 11*d/2 + 9.
(d + 2)*(d + 9)/2
Factor -g**4/9 - g**3 - 2*g**2/9 + 16*g/3.
-g*(g - 2)*(g + 3)*(g + 8)/9
Factor 5*p**2 - 11*p + 2.
(p - 2)*(5*p - 1)
Factor 2*m**4/7 + 4*m**3/7 - 8*m**2/7 - 16*m/7.
2*m*(m - 2)*(m + 2)**2/7
Find c such that -125*c**3/6 + 2675*c**2/6 - 1055*c/6 + 35/2 = 0.
1/5, 21
Solve 5*g**3 + 300*g**2 - 935*g + 630 = 0.
-63, 1, 2
Find b, given that 70*b**4 + 5595*b**3 + 5130*b**2 - 395*b = 0.
-79, -1, 0, 1/14
Find n such that -12*n**2 + 404*n - 264 = 0.
2/3, 33
Factor -2*w**2/9 + 2*w/3 - 4/9.
-2*(w - 2)*(w - 1)/9
Determine p so that -2*p**3 + 198*p**2 - 6534*p + 71874 = 0.
33
Factor 5*i**2/3 - 1030*i/3 + 53045/3.
5*(i - 103)**2/3
Factor 10*w**2 - 425*w + 4240.
5*(w - 16)*(2*w - 53)
Factor v**2/9 + v.
v*(v + 9)/9
Factor -2*t**2/17 + 148*t/17 - 146/17.
-2*(t - 73)*(t - 1)/17
Solve -4*q**2/7 - 92*q/7 + 96/7 = 0.
-24, 1
Factor 3*j**4 + 324*j**3 + 10110*j**2 + 68796*j - 79233.
3*(j - 1)*(j + 11)*(j + 49)**2
Factor 5*n**2 + 3535*n - 3540.
5*(n - 1)*(n + 708)
What is l in 4*l**4/5 + 88*l**3/5 + 468*l**2/5 - 352*l/5 - 1936/5 = 0?
-11, -2, 2
What is v in -4*v**4 - 82*v**3 - 594*v**2 - 1728*v - 1512 = 0?
-7, -6, -3/2
Factor -3*k**3/7 -