 1)/2
Factor -5*d**2 - 185*d - 180.
-5*(d + 1)*(d + 36)
What is a in -3*a**4/2 + 807*a**3/2 - 52215*a**2/2 - 276603*a/2 - 168921 = 0?
-3, -2, 137
Let -2*z**5/3 + 4*z**4/3 - 4*z**2/3 + 2*z/3 = 0. Calculate z.
-1, 0, 1
Let -16*b**2 - 82*b - 100 = 0. What is b?
-25/8, -2
Suppose -2*j**4/13 + 12*j**3/13 + 2*j**2/13 - 12*j/13 = 0. What is j?
-1, 0, 1, 6
What is t in t**4/3 - 5*t**3 + 19*t**2 - 73*t/3 + 10 = 0?
1, 3, 10
Factor 2*u**5 + 630*u**4 + 49296*u**3 - 49928*u**2.
2*u**2*(u - 1)*(u + 158)**2
Find b such that -10*b**5/11 + 134*b**4/11 - 42*b**3/11 - 134*b**2/11 + 52*b/11 = 0.
-1, 0, 2/5, 1, 13
What is p in 4*p**2/7 + 87*p + 152/7 = 0?
-152, -1/4
Factor a**4/6 - a**3 - 35*a**2/6 - 8*a - 10/3.
(a - 10)*(a + 1)**2*(a + 2)/6
Determine f so that -5*f**3 + 25*f**2 + 85*f - 105 = 0.
-3, 1, 7
Solve -212*c**2 - 416*c + 16 = 0 for c.
-2, 2/53
Find x such that 3*x**3/2 + 93*x**2/2 - 3*x/2 - 93/2 = 0.
-31, -1, 1
Let -4*f**5/7 - 8*f**4/7 + 60*f**3/7 + 128*f**2/7 + 64*f/7 = 0. What is f?
-4, -1, 0, 4
Factor 2*i**4 - 72*i**3 - 160*i**2 + 288*i + 608.
2*(i - 38)*(i - 2)*(i + 2)**2
Factor -2*k**4 - 32*k**3 + 356*k**2 + 800*k + 414.
-2*(k - 9)*(k + 1)**2*(k + 23)
Solve 5*t**5 - 15*t**4 - 165*t**3 + 175*t**2 = 0.
-5, 0, 1, 7
Determine v so that -3*v**3 - 221*v**2 + 896*v/3 - 100 = 0.
-75, 2/3
Factor -14*v**2/3 + 172*v + 74/3.
-2*(v - 37)*(7*v + 1)/3
Factor -2*k**4/7 - 4*k**3/7 + 2*k**2/7 + 4*k/7.
-2*k*(k - 1)*(k + 1)*(k + 2)/7
Factor -l**3/4 - l**2/2.
-l**2*(l + 2)/4
Factor -10*d**2 + 7068*d + 1414.
-2*(d - 707)*(5*d + 1)
Factor -2*c**2/7 - 20876*c/7 - 54475922/7.
-2*(c + 5219)**2/7
Factor 2*w**2/7 + 4*w/7 - 3040/7.
2*(w - 38)*(w + 40)/7
Determine o so that o**5/3 - 4*o**4 + 9*o**3 = 0.
0, 3, 9
Factor -6*a**4/5 + 9*a**3/5 - 3*a/5.
-3*a*(a - 1)**2*(2*a + 1)/5
Let 2*p**3/5 - 114*p**2/5 - 96*p - 488/5 = 0. What is p?
-2, 61
Find y such that -y**2 + 34*y - 33 = 0.
1, 33
Factor -5*r**4 + 40*r**3 - 115*r**2 + 140*r - 60.
-5*(r - 3)*(r - 2)**2*(r - 1)
Solve -16*q**4/3 - 139*q**3/3 - 83*q**2/3 + 40*q/3 = 0.
-8, -1, 0, 5/16
Determine d so that 2*d**4/11 - 14*d**3/11 + 10*d**2/11 + 14*d/11 - 12/11 = 0.
-1, 1, 6
Find b such that 3*b**3/8 + 57*b**2/4 + 651*b/8 = 0.
-31, -7, 0
Suppose x**3 - 7*x**2 + 15*x - 9 = 0. What is x?
1, 3
Determine v so that -3*v**4/4 - 7*v**3 - 5*v**2/2 + 29*v - 75/4 = 0.
-25/3, -3, 1
Determine a so that 2*a**5/7 - 34*a**4/7 + 26*a**3/7 + 14*a**2 - 4*a - 64/7 = 0.
-1, 1, 2, 16
Solve a**4 + 2*a**3 - 24*a**2 - 50*a - 25 = 0.
-5, -1, 5
Factor 45*w**2 - 370*w + 80.
5*(w - 8)*(9*w - 2)
Determine m, given that 5*m**5/6 - 83*m**4/6 - 167*m**3/3 - 20*m**2 = 0.
-3, -2/5, 0, 20
Determine c so that -39*c**4 - 36*c**3 + 42*c**2 + 36*c - 3 = 0.
-1, 1/13, 1
Factor 4*y**3 + 28*y**2 + 60*y + 36.
4*(y + 1)*(y + 3)**2
Let -6*l**2/5 - 72*l/5 + 102 = 0. What is l?
-17, 5
Factor 5*y**4/4 - 5*y**3/4 - 5*y**2 + 5*y.
5*y*(y - 2)*(y - 1)*(y + 2)/4
Factor 2*u**2 + 78*u + 76.
2*(u + 1)*(u + 38)
Solve 2*y**5/5 + 18*y**4/5 - 158*y**3/5 + 318*y**2/5 - 36*y = 0.
-15, 0, 1, 2, 3
What is j in j**3/4 + 7*j**2/2 + 12*j = 0?
-8, -6, 0
Suppose -3*h**3 - 18*h**2 + 21*h = 0. What is h?
-7, 0, 1
Solve -2*v**3/3 - 4*v**2/3 + 42*v = 0 for v.
-9, 0, 7
Suppose 5*g**4 - 200*g**3 - 225*g**2 + 800*g + 820 = 0. Calculate g.
-2, -1, 2, 41
Factor -3*n**4 - 12*n**3 - 15*n**2 - 6*n.
-3*n*(n + 1)**2*(n + 2)
Factor 2*f**2/9 - 104*f/9 - 1022/3.
2*(f - 73)*(f + 21)/9
Factor -4*y**5 + 4*y**4 + 8*y**3 - 8*y**2 - 4*y + 4.
-4*(y - 1)**3*(y + 1)**2
Find z, given that z**5/3 + 4*z**4/3 + 2*z**3 + 4*z**2/3 + z/3 = 0.
-1, 0
Solve j**3/4 + 55*j**2/4 + 299*j/4 + 245/4 = 0 for j.
-49, -5, -1
Factor 5*h**3 + 80*h**2 + 225*h - 810.
5*(h - 2)*(h + 9)**2
Suppose 3*y**4/8 - 9*y**3/4 - 57*y**2/8 + 9*y = 0. Calculate y.
-3, 0, 1, 8
Find m, given that -m**3/2 - m**2 + 15*m/2 = 0.
-5, 0, 3
Determine w, given that 4*w**4/9 - 493*w**3/9 - 373*w**2/9 + 124*w/9 = 0.
-1, 0, 1/4, 124
Factor 5*o**4 - 75*o**3 + 335*o**2 - 465*o + 200.
5*(o - 8)*(o - 5)*(o - 1)**2
What is y in -3*y**2 - 9*y + 30 = 0?
-5, 2
Factor -2*t**3 - 340*t**2/3 + 38*t.
-2*t*(t + 57)*(3*t - 1)/3
Find s, given that 9*s**4/4 + 141*s**3/4 + 657*s**2/4 + 819*s/4 + 147/2 = 0.
-7, -1, -2/3
Solve -100*i**5/7 + 1440*i**4/7 + 4336*i**3/7 + 1496*i**2/7 - 1164*i/7 + 136/7 = 0.
-2, -1, 1/5, 17
Factor 2*w**3/7 - 1758*w**2/7 + 385440*w/7 + 387200/7.
2*(w - 440)**2*(w + 1)/7
Factor -3*j**4 - 12*j**3 - 9*j**2 + 12*j + 12.
-3*(j - 1)*(j + 1)*(j + 2)**2
What is j in 5*j**5/6 - 35*j**4/3 + 75*j**3/2 + 50*j**2/3 - 490*j/3 + 120 = 0?
-2, 1, 2, 4, 9
Factor -4*h**3 + 44*h**2 + 160*h + 112.
-4*(h - 14)*(h + 1)*(h + 2)
Suppose -5*z**2 + 16430*z - 13497245 = 0. Calculate z.
1643
Suppose 3*y**3 - 21*y**2 + 33*y - 15 = 0. Calculate y.
1, 5
Factor 5*y**3/3 - 59*y**2 + 70*y/3.
y*(y - 35)*(5*y - 2)/3
Factor -100*s**3 - 916*s**2 - 944*s - 128.
-4*(s + 1)*(s + 8)*(25*s + 4)
Let 2*m**5/13 - 30*m**4/13 + 134*m**3/13 - 258*m**2/13 + 224*m/13 - 72/13 = 0. What is m?
1, 2, 9
Solve -2*k**4/11 - 6*k**3 - 810*k**2/11 - 4374*k/11 - 8748/11 = 0 for k.
-9, -6
Factor -3*p**3 + 16*p**2 - 5*p.
-p*(p - 5)*(3*p - 1)
Factor -65*f**3 - 320*f**2 + 900*f.
-5*f*(f - 2)*(13*f + 90)
Determine p, given that 2*p**4/9 + 692*p**3/9 + 59162*p**2/9 - 40136*p/3 + 6728 = 0.
-174, 1
Let p**4/2 - 6*p**3 + 23*p**2 - 30*p + 25/2 = 0. What is p?
1, 5
Factor z**4/7 - z**3 - 27*z**2/7 - 29*z/7 - 10/7.
(z - 10)*(z + 1)**3/7
Factor -3*h**3/5 + 35*h**2 - 853*h/5 + 53.
-(h - 53)*(h - 5)*(3*h - 1)/5
Solve -s**2/8 + 75*s/4 - 5625/8 = 0.
75
Solve -t**4/2 - 3064*t**3 - 7041072*t**2 - 7191281536*t - 2754260828288 = 0 for t.
-1532
Factor 2*n**3/11 + 16*n**2/11 - 24*n/11 - 288/11.
2*(n - 4)*(n + 6)**2/11
Determine n, given that -4*n**2 - 176*n + 180 = 0.
-45, 1
Factor h**3/4 + 25*h**2/4 - h/4 - 25/4.
(h - 1)*(h + 1)*(h + 25)/4
Factor 2*f**2 - 42*f.
2*f*(f - 21)
Factor b**3/4 - 21*b**2/4 + 18*b - 17.
(b - 17)*(b - 2)**2/4
Suppose -3*c**3 - 30*c**2 - 72*c = 0. What is c?
-6, -4, 0
Determine p, given that -9*p**4/7 - 87*p**3/7 - 261*p**2/7 - 39*p - 90/7 = 0.
-5, -3, -1, -2/3
What is k in -3*k**4/7 - 9*k**3/7 + 33*k**2/7 + 9*k/7 - 30/7 = 0?
-5, -1, 1, 2
Let -29*j**3/10 - 61*j**2/10 - 7*j/2 - 3/10 = 0. What is j?
-1, -3/29
Suppose 2*u**2 - 34*u/3 + 44/3 = 0. What is u?
2, 11/3
What is g in 4*g**5/3 + 10*g**4/3 - 14*g**3/3 - 6*g**2 + 6*g = 0?
-3, -3/2, 0, 1
Suppose -2*p**5/11 + 60*p**4/11 + 936*p**3/11 + 3024*p**2/11 = 0. What is p?
-6, 0, 42
Determine x so that -x**2/7 = 0.
0
Factor m**3/4 - 853*m**2/2 + 727609*m/4.
m*(m - 853)**2/4
Solve -4*l**3/3 - 2*l**2/3 + 2*l/3 = 0.
-1, 0, 1/2
Factor 3*o**4 - 15*o**3 + 9*o**2 + 15*o - 12.
3*(o - 4)*(o - 1)**2*(o + 1)
Solve -b**5 - 19*b**4 - 60*b**3 + 468*b**2 + 2160*b = 0.
-12, -6, 0, 5
Find c, given that -4*c**3 - 20*c**2 + 244*c - 220 = 0.
-11, 1, 5
Determine v so that 3*v**2 - 1290*v = 0.
0, 430
Factor 3*p**3/5 - 132*p**2 - 663*p/5.
3*p*(p - 221)*(p + 1)/5
Factor -3*v**2 + 984*v + 987.
-3*(v - 329)*(v + 1)
Find v such that -3*v**2/8 - 105*v/8 = 0.
-35, 0
Factor -2*u**3 + 14*u**2 + 36*u.
-2*u*(u - 9)*(u + 2)
What is j in -j**4 - 49*j**3/3 - 2*j**2 + 160*j/3 = 0?
-16, -2, 0, 5/3
Let -8*x**4 + 20*x**3 + 4*x**2 - 24*x = 0. Calculate x.
-1, 0, 3/2, 2
Factor -9*g**2/5 + 109*g/5 - 252/5.
-(g - 9)*(9*g - 28)/5
Find q such that q**3 - 3*q**2 - 72*q - 176 = 0.
-4, 11
Factor -5*c**3 - 75*c**2 - 190*c + 720.
-5*(c - 2)*(c + 8)*(c + 9)
Determine m, given that -3*m**5/4 + 129*m**4/4 - 585*m**3/2 - 2445*m**2/2 + 1173*m/4 + 4761/4 = 0.
-3, -1, 1, 23
Find k, given that 2*k**4 + 2*k**3 - 6*k**2 - 10*k - 4 = 0.
-1, 2
Factor 3*g**3/5 - 21*g/5 + 18/5.
3*(g - 2)*(g - 1)*(g + 3)/5
Let 4*l**2/3 - 140*l + 824/3 = 0. Calculate l.
2, 103
What is k in -3*k**5/5 + 39*k**4/5 - 141*k**3/5 + 33*k**2/5 + 612*k/5 - 756/5 = 0?
-2, 2, 3, 7
What is m in -49*m**5/5 + 21*m**4 - 68*m**3/5 + 12*m**2/5 = 0?
0, 2/7, 6/7, 1
Let 2*n**2/17 + 216*n/17 - 1610/17 = 0. What is n?
-115, 7
Suppose -5*y**3 - 5840*y**2 - 1711105*y - 3398890 = 0. Calculate y.
-583, -2
Factor 4*a**3 - 140*a**2 + 732*a - 1044.
4*(a - 29)*(a - 3)**2
Factor 3*p**4 - 30*p**3 + 87*p**2 - 96*p + 36.
3*(p - 6)*(p - 2)*(p - 1)**2
Determine y, given that y**2/5 - 12*y/5 - 13/5 = 0.
-1, 13
Factor -2*w**2 - 24*w.
-2*w*(w + 12)
Let -c**2 - 278*c - 19321 = 0. What is c?
-139
Determin