Factor g**3/2 + 41*g**2 - 260*g + 352.
(g - 4)*(g - 2)*(g + 88)/2
Factor b**3/2 - 8*b**2 + 83*b/2 - 70.
(b - 7)*(b - 5)*(b - 4)/2
What is q in 3*q**4 + 27*q**3 - 540*q**2 + 2256*q - 2880 = 0?
-20, 3, 4
Factor 3*z**2 - 12*z + 9.
3*(z - 3)*(z - 1)
Determine h so that 3*h**2/8 + 81*h/8 + 189/4 = 0.
-21, -6
Let -3*j**4 - 198*j**3 + 1053*j**2 - 852*j = 0. What is j?
-71, 0, 1, 4
Factor -2*t**4 + 228*t**3 - 672*t**2 + 668*t - 222.
-2*(t - 111)*(t - 1)**3
Factor -8*b**3/3 + 22*b**2/3 + 38*b/3 + 8/3.
-2*(b - 4)*(b + 1)*(4*b + 1)/3
Solve b**4/2 - 11*b**3/2 - 183*b**2/2 - 549*b/2 - 189 = 0.
-6, -3, -1, 21
Factor h**5/7 + 160*h**4/7 - 486*h**3/7 + 488*h**2/7 - 163*h/7.
h*(h - 1)**3*(h + 163)/7
Factor x**2/5 + 462*x/5 - 463/5.
(x - 1)*(x + 463)/5
Find n such that -3*n**2 - 123*n + 1350 = 0.
-50, 9
Find w such that 18*w**5 + 444*w**4 - 1624*w**3 + 1552*w**2 - 448*w = 0.
-28, 0, 2/3, 2
Let -n**2/3 - n + 6 = 0. What is n?
-6, 3
Suppose -x**3/7 + 2*x**2/7 + 57*x/7 + 54/7 = 0. What is x?
-6, -1, 9
Suppose 5*a**4 + 3*a**3 - 222*a**2 - 332*a + 168 = 0. Calculate a.
-6, -2, 2/5, 7
Factor -4*p**5 + 36*p**3.
-4*p**3*(p - 3)*(p + 3)
Determine m, given that 2*m**2/13 + 8*m/13 - 10/13 = 0.
-5, 1
Let 5*p**2/3 - 555*p - 3350/3 = 0. Calculate p.
-2, 335
Determine j, given that -j**5 + 99*j**4/2 - 23*j**3 - 147*j**2/2 = 0.
-1, 0, 3/2, 49
Factor -2*h**3 + 42*h**2 + 2*h - 42.
-2*(h - 21)*(h - 1)*(h + 1)
Find u, given that -2*u**4 + 33*u**3/2 - 22*u**2 - 63*u/2 + 9 = 0.
-1, 1/4, 3, 6
Suppose -5*n**5 + 5*n**4 + 295*n**3 - 25*n**2 - 830*n + 560 = 0. What is n?
-7, -2, 1, 8
Find d, given that -3*d**2/2 + 15*d/2 + 21 = 0.
-2, 7
Suppose 5*n**2 - 1740*n + 151380 = 0. What is n?
174
Factor i**3 - 1256*i**2.
i**2*(i - 1256)
Determine w, given that -5*w**5/4 - 7*w**4/4 - w**3/2 = 0.
-1, -2/5, 0
Factor -2*g**2/21 - 20*g/21 + 16/7.
-2*(g - 2)*(g + 12)/21
Let -j**2 + 728*j - 132496 = 0. Calculate j.
364
Factor 5*p**2 - 95*p.
5*p*(p - 19)
Let 2*m**3/7 - 10*m**2/7 + 8*m/7 = 0. Calculate m.
0, 1, 4
Let 5*t**3/4 - 235*t**2/4 = 0. Calculate t.
0, 47
Determine u so that 2*u**2 - 28*u = 0.
0, 14
Factor 5*v**2 + 10*v - 15.
5*(v - 1)*(v + 3)
Factor 80*i**3 - 798*i**2 - 32*i + 120.
2*(i - 10)*(5*i + 2)*(8*i - 3)
Suppose -2*s**5/3 - 1456*s**4/3 + 2*s**3/3 + 1456*s**2/3 = 0. What is s?
-728, -1, 0, 1
Determine d, given that 2*d**5/9 - 20*d**4/9 + 76*d**3/9 - 136*d**2/9 + 38*d/3 - 4 = 0.
1, 2, 3
Determine f, given that -f**3 + 1574*f**2 - 3145*f + 1572 = 0.
1, 1572
Determine o so that -2*o**4/5 - 1243*o**3/10 - 97029*o**2/10 - 14353*o/2 + 4805/2 = 0.
-155, -1, 1/4
What is k in 3*k**5/5 + 64*k**4/5 + 243*k**3/5 - 1078*k**2/5 + 96*k + 288/5 = 0?
-12, -1/3, 1, 2
Let -c**4/3 + 9*c**3 - 44*c**2 - 160*c/3 = 0. What is c?
-1, 0, 8, 20
Determine m, given that 2*m**2 - 24*m - 216 = 0.
-6, 18
Factor 2*l**4 + 36*l**3 + 66*l**2 + 32*l.
2*l*(l + 1)**2*(l + 16)
Determine f, given that 2*f**4 - 18*f**3 + 52*f**2 - 48*f = 0.
0, 2, 3, 4
Determine n, given that n**4/7 - 60*n**3/7 + 32000*n/7 = 0.
-20, 0, 40
What is f in 4*f**2 + 62136*f + 241305156 = 0?
-7767
Find u such that -12*u**3 + 70*u**2 - 96*u - 18 = 0.
-1/6, 3
Let -5*c**5 - 135*c**4 + 2630*c**3 - 9910*c**2 - 2625*c + 10045 = 0. Calculate c.
-41, -1, 1, 7
Factor d**3/8 - 9*d**2/4 + 27*d/2 - 27.
(d - 6)**3/8
Determine g so that -5*g**2 - 10*g + 15 = 0.
-3, 1
Find y, given that -242*y**5/9 + 8008*y**4/9 - 58856*y**3/9 + 50048*y**2/3 - 12928*y + 3072 = 0.
6/11, 4, 24
Factor v**5/2 + 2453*v**4/2 + 1503075*v**3/2 - 1505529*v**2/2.
v**2*(v - 1)*(v + 1227)**2/2
Factor w**4/6 - 5*w**3/3 + 6*w**2 - 9*w + 9/2.
(w - 3)**3*(w - 1)/6
Suppose -50*g**4 - 5*g**3 + 350*g**2 - 265*g - 30 = 0. What is g?
-3, -1/10, 1, 2
Factor 4*o**4 + 84*o**3 + 72*o**2 - 160*o.
4*o*(o - 1)*(o + 2)*(o + 20)
Solve -450*t**2 + 780*t - 338 = 0.
13/15
Let -s**2 + 6*s - 8 = 0. Calculate s.
2, 4
Suppose 7*g**5/6 - 5*g**4 + 43*g**3/6 - 4*g**2 + 2*g/3 = 0. What is g?
0, 2/7, 1, 2
What is f in -2*f**2/15 + 10*f/3 - 92/15 = 0?
2, 23
Factor 4*o**4 + 84*o**3 + 576*o**2 + 1424*o + 1152.
4*(o + 2)**2*(o + 8)*(o + 9)
Determine o, given that -4*o**2 + 140*o + 1800 = 0.
-10, 45
Suppose -4*m**5 + 3*m**4 + 13*m**3 - m**2 - 9*m - 2 = 0. What is m?
-1, -1/4, 1, 2
Factor k**3/6 + k**2/2 - 49*k/6 + 15/2.
(k - 5)*(k - 1)*(k + 9)/6
Solve d**4/9 + 19*d**3/3 + 637*d**2/9 - 1891*d/3 - 13454/9 = 0 for d.
-31, -2, 7
Let -2*f**5/17 - 74*f**4 - 200932*f**3/17 - 975920*f**2/17 - 379392*f/17 + 1557504/17 = 0. What is f?
-312, -4, -2, 1
Factor -w**4 - 3*w**3 + 16*w**2 - 12*w.
-w*(w - 2)*(w - 1)*(w + 6)
Factor h**2 + 18*h + 45.
(h + 3)*(h + 15)
Let 4*k**4 + 2*k**3 - 128*k**2 + 54*k + 180 = 0. What is k?
-6, -1, 3/2, 5
Factor -33*v**4 - 135*v**3 - 12*v**2.
-3*v**2*(v + 4)*(11*v + 1)
Factor -5*g**4 + 20*g**3 + 160*g**2.
-5*g**2*(g - 8)*(g + 4)
What is v in 5*v**3/2 - 3195*v**2/2 + 254400*v + 256000 = 0?
-1, 320
Factor 4*b**2 - 2*b - 2.
2*(b - 1)*(2*b + 1)
Factor 2*g**3 + 34*g**2 - 258*g + 414.
2*(g - 3)**2*(g + 23)
Let 5*u**4 + 35*u**3 + 75*u**2 + 65*u + 20 = 0. Calculate u.
-4, -1
Solve -3*l**4/5 - 93*l**3 - 18702*l**2/5 - 52896*l/5 - 34656/5 = 0 for l.
-76, -2, -1
Factor 2*s**2 + 228*s + 6498.
2*(s + 57)**2
Let 3*w**2 - 3306*w = 0. Calculate w.
0, 1102
Factor -3*f**3 - 21*f**2 + 72*f + 540.
-3*(f - 5)*(f + 6)**2
Find y, given that 2*y**5/15 + 28*y**4/15 + 16*y**3/5 - 4*y**2/15 - 10*y/3 - 8/5 = 0.
-12, -1, 1
Factor 2*c**2/17 + 20*c/17 + 48/17.
2*(c + 4)*(c + 6)/17
Determine s so that -4*s**3/5 + 2024*s**2/5 + 1220*s + 4072/5 = 0.
-2, -1, 509
Factor -3*d**2 - 2244*d - 2241.
-3*(d + 1)*(d + 747)
Factor 5*i**2 - 2565*i - 5150.
5*(i - 515)*(i + 2)
Let 2*q**2/7 - 8496*q/7 + 9022752/7 = 0. Calculate q.
2124
Factor -y**3/3 - y**2/3 + 2*y/3.
-y*(y - 1)*(y + 2)/3
Factor -338*m**2 + 52*m - 2.
-2*(13*m - 1)**2
Factor -f**2/2 - 4*f + 90.
-(f - 10)*(f + 18)/2
Suppose -2*s**3/17 - 48*s**2/17 + 54*s/17 + 100/17 = 0. What is s?
-25, -1, 2
Suppose -28*r**3 + 1212*r**2 - 1520*r + 336 = 0. What is r?
2/7, 1, 42
Factor -4*f**4 + 96*f**3 + 428*f**2 + 552*f + 224.
-4*(f - 28)*(f + 1)**2*(f + 2)
Factor -169*a**2/3 + 65*a/3 + 2.
-(13*a - 6)*(13*a + 1)/3
Solve 2*s**3/3 + 1204*s**2/3 = 0.
-602, 0
Factor 3*i**3 - 3*i.
3*i*(i - 1)*(i + 1)
Factor n**3/4 - 38*n**2 + 145*n/4 + 453/2.
(n - 151)*(n - 3)*(n + 2)/4
Suppose -5*i**5 - 50*i**4 + 120*i**3 - 10*i**2 - 115*i + 60 = 0. What is i?
-12, -1, 1
Find q such that -q**5 + 130*q**4 + 263*q**3 + 132*q**2 = 0.
-1, 0, 132
Factor -3*b**2 + 76*b - 25.
-(b - 25)*(3*b - 1)
Factor -w**3/3 + 76*w**2/3 - 1444*w/3.
-w*(w - 38)**2/3
Suppose -j**4/5 - 8*j**3/5 - 14*j**2/5 + 8*j/5 + 3 = 0. What is j?
-5, -3, -1, 1
Factor -3*d**3 + 126*d**2 + 3*d - 126.
-3*(d - 42)*(d - 1)*(d + 1)
Factor j**4/6 + j**3/3 - 5*j**2/6 - j.
j*(j - 2)*(j + 1)*(j + 3)/6
Factor a**4 - 15*a**3 - 34*a**2.
a**2*(a - 17)*(a + 2)
Determine p, given that 11526025*p**2/4 + 3395*p + 1 = 0.
-2/3395
Solve -3*j**3/4 - 5*j**2/4 - j/4 + 1/4 = 0 for j.
-1, 1/3
Let f**2/3 - 149*f/3 = 0. Calculate f.
0, 149
Suppose 5*u**3 + 125*u**2/2 + 295*u/2 - 90 = 0. Calculate u.
-9, -4, 1/2
Determine u so that -2*u**3 - 1476*u**2 + 2958*u - 1480 = 0.
-740, 1
Solve -2*u**2/11 + 50*u/11 + 168/11 = 0.
-3, 28
Determine n, given that n**4/4 - 3*n**3/4 - 6*n**2 + 20*n = 0.
-5, 0, 4
Factor 4*t**2 - 24*t + 32.
4*(t - 4)*(t - 2)
What is g in 2*g**5/3 - 2*g**4/3 - 8*g**3/3 + 8*g**2/3 = 0?
-2, 0, 1, 2
What is q in q**4/3 + 430*q**3/3 - 865*q**2/3 - 430*q/3 + 288 = 0?
-432, -1, 1, 2
Determine l, given that -3*l**5/7 + 12*l**4/7 + 6*l**3/7 - 24*l**2/7 - 3*l/7 + 12/7 = 0.
-1, 1, 4
Suppose -p**4/8 - 13*p**3/8 - 19*p**2/8 + 33*p/8 = 0. Calculate p.
-11, -3, 0, 1
Solve 4*z**2 - 324*z + 632 = 0.
2, 79
Factor 3*o**3/2 - 39*o**2 + 288*o - 432.
3*(o - 12)**2*(o - 2)/2
Factor 5*o**3 + 295*o**2 - 7900*o.
5*o*(o - 20)*(o + 79)
Factor -4*r**5 - 324*r**4 - 8288*r**3 - 50176*r**2 + 526848*r + 2458624.
-4*(r - 7)*(r + 4)*(r + 28)**3
Factor 2*j**4 + 98*j**3/3 + 416*j**2/3 + 128*j/3.
2*j*(j + 8)**2*(3*j + 1)/3
Factor 5*a**3 + 2930*a**2 + 5845*a + 2920.
5*(a + 1)**2*(a + 584)
Factor z**5/4 - 5*z**4/2 + 6*z**3 + 5*z**2/2 - 25*z/4.
z*(z - 5)**2*(z - 1)*(z + 1)/4
Factor x**2/2 + 127*x + 16129/2.
(x + 127)**2/2
Suppose -2*m**3/5 + 102*m**2 - 8670*m + 245650 = 0. What is m?
85
Factor 5*u**3 + 595*u**2 + 13720*