0. What is g?
-3, -2, 0, 1
Suppose 4*y**3 - 20*y**2 - 88*y - 64 = 0. What is y?
-2, -1, 8
Let 4*d**4 + 12*d**3 - 100*d**2 + 84*d = 0. Calculate d.
-7, 0, 1, 3
Find b, given that -4*b**4 - 8*b**3 + 28*b**2 - 16*b = 0.
-4, 0, 1
Factor -c**3/8 + 5*c**2/8 - 3*c/8 - 9/8.
-(c - 3)**2*(c + 1)/8
Solve -c**2/3 - 4*c/3 + 5/3 = 0 for c.
-5, 1
Suppose o**2/2 + 61*o/2 + 87 = 0. What is o?
-58, -3
Factor 5*l**4 - 30*l**3 + 40*l**2 + 30*l - 45.
5*(l - 3)**2*(l - 1)*(l + 1)
Factor -2*z**2/9 - 56*z/9 + 40/3.
-2*(z - 2)*(z + 30)/9
Solve 2*p**3 + 230*p**2 + 1326*p + 1962 = 0.
-109, -3
Find s such that -5*s**2 - 6450*s - 2080125 = 0.
-645
Solve 7*w**2 + 2*w/3 = 0.
-2/21, 0
Factor -c**3 + 343*c**2 - 1369*c/4 + 171/2.
-(c - 342)*(2*c - 1)**2/4
Factor 248*k**2 + 500*k + 8.
4*(k + 2)*(62*k + 1)
Determine c so that 14*c**3/3 - 6*c**2 - 80*c/3 + 8 = 0.
-2, 2/7, 3
Factor -17094005*u**4 - 6360560*u**3 - 887520*u**2 - 55040*u - 1280.
-5*(43*u + 4)**4
Factor 3*h**2/5 - 63*h/5 - 138/5.
3*(h - 23)*(h + 2)/5
Solve -2*a**2/13 - 8*a/13 + 42/13 = 0 for a.
-7, 3
Let -4*p**5 - 43*p**4 - 65*p**3 - 17*p**2 + 9*p = 0. Calculate p.
-9, -1, 0, 1/4
Factor 8*b**2 + 68*b + 84.
4*(b + 7)*(2*b + 3)
Factor 2*v**3 - 80*v**2 - 166*v - 84.
2*(v - 42)*(v + 1)**2
Let m**2/3 - 5*m/3 = 0. What is m?
0, 5
Let 2*z**2/17 - 2032*z/17 + 2030/17 = 0. What is z?
1, 1015
Find q, given that -2*q**3 - 138*q**2 - 136*q = 0.
-68, -1, 0
Solve 4*x**5 - 164*x**4 + 1856*x**3 - 6400*x**2 = 0.
0, 8, 25
Solve -x**4/10 - 367*x**3/10 - 33117*x**2/10 + 20387*x/2 - 6845 = 0.
-185, 1, 2
Suppose -2*y**2/7 + 4*y/7 + 10 = 0. What is y?
-5, 7
Factor -4*s**3 + 84*s**2 + 36*s - 756.
-4*(s - 21)*(s - 3)*(s + 3)
Let n**2/2 + 125*n/2 + 183 = 0. What is n?
-122, -3
Suppose 2*q**3/7 + 74*q**2/7 + 272*q/7 + 264/7 = 0. Calculate q.
-33, -2
Solve -480500*g**2 - 9300*g - 45 = 0.
-3/310
Factor d**5 + 5*d**4 - 18*d**3 - 20*d**2 + 56*d.
d*(d - 2)**2*(d + 2)*(d + 7)
Let 2*g**5/3 - 46*g**4/3 + 374*g**3/3 - 1258*g**2/3 + 1568*g/3 - 640/3 = 0. What is g?
1, 5, 8
Let -p**4/3 - 4*p**3/3 + 2*p**2 + 12*p + 9 = 0. Calculate p.
-3, -1, 3
Factor 5*f**3 + 520*f**2.
5*f**2*(f + 104)
Let -g**3/2 + 5*g**2 - 9*g/2 = 0. Calculate g.
0, 1, 9
Factor 86*v**2/17 + 1458*v/17 - 4.
2*(v + 17)*(43*v - 2)/17
Factor -2*u**2/7 + 1308*u/7 - 213858/7.
-2*(u - 327)**2/7
Find q such that -2*q**4/5 + 36*q**3/5 - 216*q**2/5 + 476*q/5 - 294/5 = 0.
1, 3, 7
Determine k so that k**3 + 7*k**2 - 8*k = 0.
-8, 0, 1
Solve -y**4/8 - 3*y**3/8 + 11*y**2/8 + 3*y/8 - 5/4 = 0 for y.
-5, -1, 1, 2
Determine d, given that -2*d**2/9 - 14*d + 1460/9 = 0.
-73, 10
Find r, given that r**4/4 + 19*r**3/4 + 63*r**2/2 + 81*r + 54 = 0.
-6, -1
Find r, given that r**5 - 171*r**4/2 - 621*r**3/2 - 181*r**2/2 + 267*r/2 = 0.
-3, -1, 0, 1/2, 89
Find r such that 2*r**3/15 - 34*r**2/3 + 1628*r/15 = 0.
0, 11, 74
Determine l so that -20*l**2 + 228*l - 88 = 0.
2/5, 11
Find c such that -3*c**3 + 54*c**2 + 408*c + 576 = 0.
-4, -2, 24
Let -w**3 - 5*w**2 - 4*w = 0. Calculate w.
-4, -1, 0
Find a, given that -16*a**4 - 12*a**3 + 4*a**2 = 0.
-1, 0, 1/4
Suppose -v**3/6 + 47*v**2 - 4418*v + 415292/3 = 0. What is v?
94
Factor -2*l**2 + 156*l + 158.
-2*(l - 79)*(l + 1)
Let 42*u**4 - 239*u**3/2 - 269*u**2/2 - 30*u = 0. What is u?
-4/7, -1/3, 0, 15/4
Determine t so that -2*t**5 + 76*t**4 + 1494*t**3 + 5216*t**2 - 6784*t = 0.
-8, 0, 1, 53
Factor -20*g**3 - 23884*g**2 - 7132956*g - 1425636.
-4*(g + 597)**2*(5*g + 1)
Let 2*a**2 - 2584*a + 834632 = 0. Calculate a.
646
Suppose -2*z**2 + 2*z + 4 = 0. What is z?
-1, 2
Factor 5*h**3 + 51*h**2 + 76*h - 96.
(h + 3)*(h + 8)*(5*h - 4)
What is c in c**5 + 5*c**4 + 3*c**3 - 17*c**2 - 28*c - 12 = 0?
-3, -2, -1, 2
Factor -57*w**3 + 227*w**2 + 10*w - 24.
-(w - 4)*(3*w + 1)*(19*w - 6)
Factor -2*j**5/3 + 2*j**4/3 + 10*j**3/3 - 2*j**2/3 - 16*j/3 - 8/3.
-2*(j - 2)**2*(j + 1)**3/3
Determine m so that -2*m**2/3 - 5930*m/3 - 1976 = 0.
-2964, -1
Solve 28*n**2/5 + 44*n/5 - 24/5 = 0 for n.
-2, 3/7
Suppose 12*d**3 - 9*d**2 = 0. What is d?
0, 3/4
Factor -2*n**2 - 68*n + 70.
-2*(n - 1)*(n + 35)
What is q in -1674*q**4 + 3012*q**3 + 680*q**2 - 16*q = 0?
-2/9, 0, 2/93, 2
Let -r**3/3 + r**2 + 109*r/3 - 165 = 0. Calculate r.
-11, 5, 9
Factor 45*h**5/4 - 15*h**4/4 - 10*h**3 + 5*h**2.
5*h**2*(h + 1)*(3*h - 2)**2/4
Factor 2*l**2/11 + 72*l/11 + 18.
2*(l + 3)*(l + 33)/11
Find t such that -2*t**3 + 598*t**2 - 44400*t - 45000 = 0.
-1, 150
What is r in -96*r**4 + 872*r**3 - 864*r**2 + 258*r - 16 = 0?
1/12, 1/2, 8
Factor -3*m**4 + 60*m**3 - 351*m**2 + 486*m.
-3*m*(m - 9)**2*(m - 2)
Factor -u**4/4 + 5*u**3/2 - 125*u/2 + 625/4.
-(u - 5)**3*(u + 5)/4
Solve c**5/4 - 5*c**4/4 + 3*c**3/4 + 9*c**2/4 = 0 for c.
-1, 0, 3
Suppose -4*u**4 - 48*u**3 + 344*u**2 + 48*u - 340 = 0. Calculate u.
-17, -1, 1, 5
Factor -4*f**2 + 84*f.
-4*f*(f - 21)
Find b, given that 25*b**5 + 60*b**4 + 5*b**3 - 30*b**2 = 0.
-2, -1, 0, 3/5
Solve 9*r**5 - 683*r**4/5 + 116*r**3/5 + 12*r**2 = 0 for r.
-2/9, 0, 2/5, 15
Let b**5/8 + 61*b**4/8 = 0. Calculate b.
-61, 0
Factor m**5 - 7*m**3 + 6*m**2.
m**2*(m - 2)*(m - 1)*(m + 3)
Suppose -65*b**2 + 1415*b - 1350 = 0. Calculate b.
1, 270/13
Let f**2/6 - 35*f/6 = 0. What is f?
0, 35
Find k such that -3*k**5 - 159*k**4 + 3*k**3 + 159*k**2 = 0.
-53, -1, 0, 1
Factor 3*u**4 - 111*u**3 + 1143*u**2 - 1581*u - 8670.
3*(u - 17)**2*(u - 5)*(u + 2)
Find x, given that 4*x**2 - 76*x - 168 = 0.
-2, 21
Determine r so that -r**3/5 - 38*r**2/5 + 16*r = 0.
-40, 0, 2
Factor 5*v**2 - 750*v - 2295.
5*(v - 153)*(v + 3)
Solve 2*a**3/5 - 38*a**2/5 + 212*a/5 - 288/5 = 0.
2, 8, 9
Factor -262*o**2/7 + 258*o/7 + 4/7.
-2*(o - 1)*(131*o + 2)/7
Factor w**2/8 + 21*w/4 + 441/8.
(w + 21)**2/8
Find x, given that 3*x**2 + 624*x + 32448 = 0.
-104
Factor -5*d**5 - 40*d**4 - 20*d**3 + 130*d**2 + 185*d + 70.
-5*(d - 2)*(d + 1)**3*(d + 7)
Factor -r**3/3 - 20*r**2 - 163*r + 550/3.
-(r - 1)*(r + 11)*(r + 50)/3
Factor 2*f**5/5 - 414*f**4/5 + 4326*f**3 - 21218*f**2/5.
2*f**2*(f - 103)**2*(f - 1)/5
Factor n**4 - 3*n**3 - 3*n**2 + 11*n - 6.
(n - 3)*(n - 1)**2*(n + 2)
Factor -2*u**2 + 14*u - 24.
-2*(u - 4)*(u - 3)
Find o such that 4*o**2 - 4072*o - 4076 = 0.
-1, 1019
Find d such that 8*d**3/7 - 4182*d**2/7 - 9446*d/7 - 300 = 0.
-2, -1/4, 525
Determine f so that -f**2 - 81*f - 158 = 0.
-79, -2
Factor 2*w**3/21 + 356*w**2/21.
2*w**2*(w + 178)/21
Factor 2*j**3/13 - 54*j**2/13 + 336*j/13 + 392/13.
2*(j - 14)**2*(j + 1)/13
Factor -10*g**2/3 + 226*g/3 + 92/3.
-2*(g - 23)*(5*g + 2)/3
Factor 2*v**4/9 + 8*v**3/9 + 4*v**2/3 + 8*v/9 + 2/9.
2*(v + 1)**4/9
Factor 3*k**2/2 - 24*k + 45/2.
3*(k - 15)*(k - 1)/2
Factor 4*q**4 + 24*q**3 + 12*q**2 - 40*q.
4*q*(q - 1)*(q + 2)*(q + 5)
Determine o so that 2*o**2 - 2844*o + 1011042 = 0.
711
Factor -2*p**2/9 - 688*p/3 - 59168.
-2*(p + 516)**2/9
Determine t, given that -5*t**4 + 155*t**3 + 205*t**2 - 1395*t - 1440 = 0.
-3, -1, 3, 32
Let 3648*r**4 - 3651*r**3 - 3645*r**2 + 3651*r - 3 = 0. Calculate r.
-1, 1/1216, 1
Let -2*g**5/13 - 2*g**4/13 + 38*g**3/13 + 2*g**2/13 - 180*g/13 + 144/13 = 0. Calculate g.
-4, -3, 1, 2, 3
Find x such that 2*x**2 + 730*x + 728 = 0.
-364, -1
Suppose 5292*p**5/5 - 9366*p**4 + 37126*p**3/5 - 9456*p**2/5 + 504*p/5 + 64/5 = 0. Calculate p.
-1/18, 2/7, 1/3, 8
Suppose 3*t**2/7 + 36*t/7 + 96/7 = 0. What is t?
-8, -4
Determine z, given that 5*z**2/2 + 745*z/2 + 3150 = 0.
-140, -9
Factor -5*y**4 - 15*y**3 + 25*y**2 + 15*y - 20.
-5*(y - 1)**2*(y + 1)*(y + 4)
Suppose 3*k**2 - 6378*k + 3389907 = 0. Calculate k.
1063
Suppose -2*o**2 + 216*o - 424 = 0. Calculate o.
2, 106
Solve -7*o**4 - 61*o**3 + 270*o**2 - 72*o = 0 for o.
-12, 0, 2/7, 3
Let -y**3/6 - 79*y**2/6 - 345*y/2 + 7425/2 = 0. Calculate y.
-45, 11
Factor -2*k**2/19 + 240*k/19 + 242/19.
-2*(k - 121)*(k + 1)/19
Let -2*n**4/9 + 8*n**3/9 - 4*n**2/3 + 8*n/9 - 2/9 = 0. What is n?
1
What is n in -n**2/2 + 2*n - 2 = 0?
2
Factor 3*x**4/4 + 33*x**3/2 + 291*x**2/4 - 90*x.
3*x*(x - 1)*(x + 8)*(x + 15)/4
Solve -2*l**4 + 94*l**3/5 + 174*l**2/5 + 26*l/5 - 44/5 = 0 for l.
-1, 2/5, 11
Factor 3*f**4/4 - 3*f**3/4 - 21*f**2/4 + 39*f/4 - 9/2.
3*(f - 2)*(f - 1)**2*(f + 3)/4
Determine c so that -c**2/3 - 13*c/3 = 0.
-13, 0
Let 3*q**3/2 + 7*q**2 - 7*q/2 - 5 = 0. Calculate q.
-5, -2/3, 1
Factor 4*l**2 + 4016*l + 1008016.
4*(l + 502)**2
Factor -4*j**3 + 24*j**2 + 4*j - 24.
-4*(j - 6)