3
Suppose -12*c**3 + 16*c**2 + 60*c = 0. Calculate c.
-5/3, 0, 3
Factor p**3/5 - 809*p**2/5 - 1621*p/5 - 811/5.
(p - 811)*(p + 1)**2/5
Determine f so that 2*f**5/3 + 25*f**4/2 + 241*f**3/6 + 81*f**2/2 + 43*f/6 - 5 = 0.
-15, -2, -1, 1/4
Suppose 22*d**2 + 1752*d - 640 = 0. What is d?
-80, 4/11
Factor 2*o**5 + 66*o**4 + 448*o**3 + 1264*o**2 + 1632*o + 800.
2*(o + 2)**4*(o + 25)
Factor -4*i**2 + 144*i.
-4*i*(i - 36)
Find z such that -2*z**2 + 6688*z - 5591168 = 0.
1672
Solve -7*u**3/3 + 4*u**2 - u - 2/3 = 0.
-2/7, 1
Suppose h**4/7 - 743*h**3/7 + 106*h**2 = 0. Calculate h.
0, 1, 742
Determine i, given that -2*i**3/7 - 34*i**2 + 2*i/7 + 34 = 0.
-119, -1, 1
Suppose 4*b**5 - 28*b**4 - 156*b**3 + 252*b**2 + 1080*b = 0. Calculate b.
-3, 0, 3, 10
Solve -d**3 - 7*d**2 = 0 for d.
-7, 0
Determine t so that 24*t**3 + 1114*t**2 + 1542*t + 540 = 0.
-45, -3/4, -2/3
Factor d**5/6 + d**4/3 - d**3/2 - 2*d**2/3 + 2*d/3.
d*(d - 1)**2*(d + 2)**2/6
Let 2*b**5/5 + 1516*b**4/5 - 608*b**3 = 0. Calculate b.
-760, 0, 2
Suppose j**2 - 88*j + 1536 = 0. Calculate j.
24, 64
Let -i**4/3 - i**3/3 + 13*i**2/3 + 25*i/3 + 4 = 0. What is i?
-3, -1, 4
Suppose -q**3/3 + 28*q**2/3 - 77*q + 156 = 0. What is q?
3, 12, 13
Factor -2*z**5/9 + 38*z**4/9 - 4*z**3.
-2*z**3*(z - 18)*(z - 1)/9
Factor a**5/8 + 7*a**4/8 + 11*a**3/8 + 5*a**2/8.
a**2*(a + 1)**2*(a + 5)/8
Suppose v**4 - 6*v**3 + 9*v**2 - 4*v = 0. Calculate v.
0, 1, 4
Suppose -8*g**5/5 + 22*g**4/5 - 12*g**3/5 = 0. What is g?
0, 3/4, 2
Factor -4*h**3 - 460*h**2 + 948*h + 1404.
-4*(h - 3)*(h + 1)*(h + 117)
Factor 3*f**4/8 - 39*f**3/8.
3*f**3*(f - 13)/8
Solve 4*f**3/3 + 256*f**2 + 12288*f = 0 for f.
-96, 0
Factor 5*o**3 + 6660*o**2 + 2957040*o + 437641920.
5*(o + 444)**3
Factor -2*w**4 - 10*w**3 - 12*w**2 + 8*w + 16.
-2*(w - 1)*(w + 2)**3
Find v such that 4*v**3 - 16*v**2 = 0.
0, 4
Suppose 4*n**4 + 28*n**3 - 108*n**2 + 116*n - 40 = 0. What is n?
-10, 1
Determine x, given that -4*x**3 - 140*x**2 - 1408*x - 3072 = 0.
-16, -3
Determine p, given that p**2 - 11*p + 10 = 0.
1, 10
Find b, given that 2*b**5/5 + 6*b**4/5 - 32*b**3/5 - 8*b**2 + 192*b/5 - 128/5 = 0.
-4, 1, 2
Find w such that -117*w**2 - 48*w - 3 = 0.
-1/3, -1/13
Factor 4*s**4 + 31*s**3 + 52*s**2 - 15*s.
s*(s + 3)*(s + 5)*(4*s - 1)
Factor 5*f**3 + 20*f**2 + 25*f + 10.
5*(f + 1)**2*(f + 2)
Factor 5*g**2 - 775*g - 1570.
5*(g - 157)*(g + 2)
What is c in 5*c**5 + 40*c**4 + 85*c**3 - 70*c**2 - 420*c - 360 = 0?
-3, -2, 2
Factor -3*a**3/8 - 369*a**2/8 - 15129*a/8 - 206763/8.
-3*(a + 41)**3/8
Factor 4*v**3 - 129*v**2 - 240*v + 68.
(v - 34)*(v + 2)*(4*v - 1)
Factor y**2/3 - 19*y/3 + 34/3.
(y - 17)*(y - 2)/3
Solve -2*l**5 - 62*l**4 - 174*l**3 - 170*l**2 - 56*l = 0.
-28, -1, 0
Solve i**4/8 + 227*i**3/4 + 2249*i**2/8 + 449*i/2 = 0.
-449, -4, -1, 0
Let -n**2 - 4*n - 3 = 0. Calculate n.
-3, -1
Suppose -w**5 - 12*w**4 - 38*w**3 - 52*w**2 - 33*w - 8 = 0. Calculate w.
-8, -1
Let -3*r**4 - 33*r**3 - 78*r**2 - 48*r = 0. What is r?
-8, -2, -1, 0
Factor 7*j**3 + 576*j**2 + 164*j.
j*(j + 82)*(7*j + 2)
Factor -4*p**2 + 8*p - 4.
-4*(p - 1)**2
Suppose 4*i**5 - 8*i**4 - 32*i**3 + 72*i**2 - 36*i = 0. What is i?
-3, 0, 1, 3
Find d, given that -10*d**2/11 + 148*d/11 + 192/11 = 0.
-6/5, 16
Solve n**4 + 17*n**3/2 - 79*n**2/2 + 30*n = 0 for n.
-12, 0, 1, 5/2
Let -2*m**4/7 + 10*m**3/7 - 10*m**2/7 - 10*m/7 + 12/7 = 0. Calculate m.
-1, 1, 2, 3
Factor -8*s**4 - 76*s**3 - 100*s**2 - 32*s.
-4*s*(s + 1)*(s + 8)*(2*s + 1)
Determine r, given that 14*r**4 + 218*r**3 + 1080*r**2 + 1512*r - 864 = 0.
-6, -4, 3/7
Factor 3*u**3 + 1509*u**2 + 3006*u.
3*u*(u + 2)*(u + 501)
Suppose -32*n**5 + 130*n**3 - 8*n = 0. Calculate n.
-2, -1/4, 0, 1/4, 2
Factor -3*l**2 - 1086*l + 4392.
-3*(l - 4)*(l + 366)
Factor 2*a**3/15 - 22*a**2/15 - 32*a/15 + 128/3.
2*(a - 8)**2*(a + 5)/15
Determine b so that 14*b**2/5 + 342*b/5 + 144/5 = 0.
-24, -3/7
Suppose -2*x**4/5 - 6*x**3/5 + 152*x**2/5 - 264*x/5 = 0. What is x?
-11, 0, 2, 6
Solve 4*g**2 + 52*g - 56 = 0.
-14, 1
Find i, given that -i**5 - 9*i**4 - 19*i**3 + 21*i**2 + 56*i - 48 = 0.
-4, -3, 1
Suppose -4*b**5 + 36*b**3 - 16*b**2 - 48*b = 0. What is b?
-3, -1, 0, 2
Factor -t**4/3 - 6*t**3 - 17*t**2/3.
-t**2*(t + 1)*(t + 17)/3
Determine p, given that -6*p**4 + 184*p**3 + 790*p**2/3 - 236*p + 128/3 = 0.
-2, 1/3, 32
Find f such that -2*f**2/15 + 2366*f/15 - 788/5 = 0.
1, 1182
Solve 5*j**5 - 285*j**4 - 20*j**3 + 1140*j**2 = 0.
-2, 0, 2, 57
Factor -2*s**2/15 - 976*s/15.
-2*s*(s + 488)/15
Factor 25*z**3 - 510*z**2 + 185*z + 300.
5*(z - 20)*(z - 1)*(5*z + 3)
What is m in 3*m**5/8 - 3*m**4/8 - 45*m**3/8 + 27*m**2/8 + 81*m/4 = 0?
-3, -2, 0, 3
Let 2*c**5 + 22*c**4 + 30*c**3 - 70*c**2 - 152*c - 72 = 0. What is c?
-9, -2, -1, 2
Let 20*c**3/3 + 76*c**2/3 - 656*c/3 + 128/3 = 0. What is c?
-8, 1/5, 4
What is l in 3*l**4 + 324*l**3 - 1329*l**2 + 1674*l - 672 = 0?
-112, 1, 2
What is r in 5*r**5 - 4100*r**4 = 0?
0, 820
Suppose -8*h**5 - 48*h**4 - 98*h**3 - 90*h**2 - 38*h - 6 = 0. What is h?
-3, -1, -1/2
Let -y**5/2 - 6*y**4 - 19*y**3/2 + 6*y**2 + 10*y = 0. What is y?
-10, -2, -1, 0, 1
Factor -2*i**2 + 1052*i - 138338.
-2*(i - 263)**2
Factor o**2/8 + 19*o/4.
o*(o + 38)/8
Factor 2*n**4/5 - 38*n**3/5 + 54*n**2 - 170*n + 200.
2*(n - 5)**3*(n - 4)/5
Factor 5*a**3 + 2830*a**2 + 400445*a.
5*a*(a + 283)**2
Factor -h**5/2 - 19*h**4/2 - 9*h**3.
-h**3*(h + 1)*(h + 18)/2
Solve -1331*z**5/2 + 11253*z**4 + 2981*z**3/2 - 7622*z**2 - 3912*z - 544 = 0.
-4/11, 1, 17
Solve 10*u**2 - 435*u - 220 = 0 for u.
-1/2, 44
Find q, given that -q**4/6 - 371*q**3/6 - 15609*q**2/2 - 2122945*q/6 - 7086244/3 = 0.
-121, -8
Factor -2*t**3 - 262*t**2 + 8*t + 1048.
-2*(t - 2)*(t + 2)*(t + 131)
Suppose 84*n**2/5 - 6*n/5 = 0. What is n?
0, 1/14
Factor 3*r**4 + 18*r**3 + 15*r**2 - 36*r.
3*r*(r - 1)*(r + 3)*(r + 4)
Let 2*h**3/11 + 8620*h**2/11 + 17234*h/11 + 8616/11 = 0. What is h?
-4308, -1
Suppose -2*z**5 - 14*z**4 + 14*z**3 + 86*z**2 - 84*z = 0. Calculate z.
-7, -3, 0, 1, 2
Suppose 4*q**2 - 712*q + 1408 = 0. Calculate q.
2, 176
Factor -3*d**2/7 - 59*d/7 + 20/7.
-(d + 20)*(3*d - 1)/7
What is f in f**3/2 - 403*f**2/2 + 40803*f/2 - 40401/2 = 0?
1, 201
Factor 5*v**3 - 65*v**2 + 280*v - 400.
5*(v - 5)*(v - 4)**2
Determine z so that -2*z**2/7 + 1436*z/7 + 1438/7 = 0.
-1, 719
Factor 5*u**5 - 175*u**4 - 555*u**3 - 565*u**2 - 190*u.
5*u*(u - 38)*(u + 1)**3
Factor -2*h**5 + 18*h**4 - 60*h**3 + 92*h**2 - 66*h + 18.
-2*(h - 3)**2*(h - 1)**3
What is c in 4*c**4/3 + 8*c**3/3 - 320*c**2/3 - 216*c - 108 = 0?
-9, -1, 9
Factor -3*a**4 + 24*a**3 - 45*a**2.
-3*a**2*(a - 5)*(a - 3)
Find w, given that -w**5/5 - 2*w**4/5 + w**3/5 + 2*w**2/5 = 0.
-2, -1, 0, 1
Factor 2*d**4/9 + 8*d**3/9 + 10*d**2/9 + 4*d/9.
2*d*(d + 1)**2*(d + 2)/9
Solve -w**3/6 + 5*w**2/6 + w = 0 for w.
-1, 0, 6
Factor -2*f**3/11 - 2304*f**2/11 - 884736*f/11 - 113246208/11.
-2*(f + 384)**3/11
Factor c**2 - 29*c - 30.
(c - 30)*(c + 1)
Factor 4*x**4 + 5488*x**3 + 2823576*x**2 + 645657712*x + 55365148804.
4*(x + 343)**4
Solve -11*n**3/4 + 375*n**2/2 - 397*n + 66 = 0.
2/11, 2, 66
Let 5*i**2 - 35*i - 40 = 0. Calculate i.
-1, 8
Factor 2*o**3/3 - 392*o**2/3 - 1190*o/3 - 796/3.
2*(o - 199)*(o + 1)*(o + 2)/3
Find i such that 4*i**2 - 172*i = 0.
0, 43
Suppose g**3 + 5595*g**2 + 10434675*g + 6486889625 = 0. What is g?
-1865
Find f, given that 48*f**2 + 148*f + 12 = 0.
-3, -1/12
Factor b**2/4 - 743*b + 552049.
(b - 1486)**2/4
Solve 2*j**5/13 + 8*j**4/13 + 6*j**3/13 - 8*j**2/13 - 8*j/13 = 0.
-2, -1, 0, 1
Factor 2*k**3/9 + 1636*k**2/9 - 3278*k/9 + 1640/9.
2*(k - 1)**2*(k + 820)/9
Suppose 5*h**5 - 25*h**4 - 90*h**3 + 100*h**2 + 280*h = 0. Calculate h.
-2, 0, 2, 7
Factor u**4/3 - 17*u**3/3 + 103*u**2/3 - 89*u + 84.
(u - 7)*(u - 4)*(u - 3)**2/3
Factor 2*o**3 - 88*o**2 - 384*o.
2*o*(o - 48)*(o + 4)
Factor 4*q**2 + 12*q - 40.
4*(q - 2)*(q + 5)
Solve 6*f**5/5 - 39*f**4/5 + 72*f**3/5 - 3*f**2/5 - 84*f/5 + 36/5 = 0 for f.
-1, 1/2, 2, 3
Factor -2*z**2/3 + 416*z/3 + 1696/3.
-2*(z - 212)*(z + 4)/3
Factor 2*z**2 - 156*z + 994.
2*(z - 71)*(z - 7)
Suppose c**4 + 6*c**3 = 0. What is c?
-6, 0
Solve -9*s**5 - 39*s**4 + 12*s**3 + 84*s**2 - 48*s = 0 for s.
-4, -2, 0, 2/3, 1
Factor 3*k**2 - 168*k + 477.
3*(k - 53)*(k - 3)
Let -3*u**3/4 - 21*u**2/4 + 3*u/4 + 21/4 = 0. What is u?
-7, -1, 1
Suppose 2*d**5 + 4*d**4 - 15*d**3/2 - 7*d**2/2 + 7*d/2 