0*u**3/19 - 390*u**2/19 + 8*u/19 + 312/19 = 0.
-39, -2, -1, 1, 2
Let -2*p**2 - 60*p - 418 = 0. What is p?
-19, -11
Factor 3*y**3 - 252*y**2 - 3*y + 252.
3*(y - 84)*(y - 1)*(y + 1)
Factor 3*b**4/5 - 42*b**3/5 + 39*b**2/5.
3*b**2*(b - 13)*(b - 1)/5
Factor -l**2 + 44*l - 43.
-(l - 43)*(l - 1)
Suppose j**2/6 - 3008*j/3 + 4524032/3 = 0. What is j?
3008
Factor 5*h**3 + 15*h**2 - 5*h - 15.
5*(h - 1)*(h + 1)*(h + 3)
Factor -22*z**4/9 + 8*z**3 - 2*z**2.
-2*z**2*(z - 3)*(11*z - 3)/9
Factor j**2/2 + 5*j/2 - 3.
(j - 1)*(j + 6)/2
Factor 3*h**3 - 315*h**2 + 1512*h - 1200.
3*(h - 100)*(h - 4)*(h - 1)
Factor -2*c**3/3 + 30*c**2 + 62*c + 94/3.
-2*(c - 47)*(c + 1)**2/3
Determine f so that -2*f**3 - 8*f**2 - 10*f - 4 = 0.
-2, -1
Determine l so that -4*l**4 - 104*l**3 - 288*l**2 - 280*l - 92 = 0.
-23, -1
Factor 2*s**3 - 6*s**2 - 8*s.
2*s*(s - 4)*(s + 1)
Let -3*j**3/2 + 309*j**2/2 - 3192*j - 42336 = 0. Calculate j.
-9, 56
Factor -w**2/8 + 53*w/8 - 75/4.
-(w - 50)*(w - 3)/8
Solve -y**4/2 + 3*y**2/2 - y = 0.
-2, 0, 1
Find h such that 2*h**3/17 - 8*h**2/17 + 8*h/17 = 0.
0, 2
Factor 2*h**4/3 + 10*h**3/3 + 2*h**2 - 10*h/3 - 8/3.
2*(h - 1)*(h + 1)**2*(h + 4)/3
Factor -q**4/5 - 6*q**3/5 + 9*q**2/5 + 14*q/5.
-q*(q - 2)*(q + 1)*(q + 7)/5
What is r in 5*r**4 - 160*r**3 - 335*r**2 - 170*r = 0?
-1, 0, 34
Factor w**2/2 - 137*w/2 - 69.
(w - 138)*(w + 1)/2
Factor d**3 - 5*d**2 + 8*d - 4.
(d - 2)**2*(d - 1)
Determine y so that y**4/4 + 297*y**3/4 - 449*y**2/2 + 150*y = 0.
-300, 0, 1, 2
Factor -3*j**2/4 + 123*j - 489/4.
-3*(j - 163)*(j - 1)/4
Let 2*y**5/7 + 962*y**4/7 - 138*y**3 - 962*y**2/7 + 964*y/7 = 0. What is y?
-482, -1, 0, 1
Determine j so that -3*j**4/4 - 519*j**3 = 0.
-692, 0
Solve 3*l**4 - 15*l**3 - 324*l**2 - 756*l = 0.
-6, -3, 0, 14
Factor 5*j**3 + 40*j**2 + 75*j.
5*j*(j + 3)*(j + 5)
Determine j so that -3*j**3/4 + 144*j**2 - 9216*j + 196608 = 0.
64
Factor -s**5/8 + s**4 - 3*s**3 + 17*s**2/4 - 23*s/8 + 3/4.
-(s - 3)*(s - 2)*(s - 1)**3/8
Factor -5*f**3 - 5*f**2.
-5*f**2*(f + 1)
What is z in -2*z**5/13 + 2934*z**4/13 - 1071636*z**3/13 - 3232532*z**2/13 - 3238410*z/13 - 1080450/13 = 0?
-1, 735
Factor 2*d**2 - 26*d + 72.
2*(d - 9)*(d - 4)
Factor 4*i**2/5 - 416*i/5 - 848/5.
4*(i - 106)*(i + 2)/5
Let 4*f**5 - 56*f**4 - 192*f**3 - 200*f**2 - 68*f = 0. Calculate f.
-1, 0, 17
Solve -2*p**2/5 - 24*p/5 + 128/5 = 0.
-16, 4
Solve -21*h**5 - 2304*h**4 + 3033*h**3 + 3984*h**2 - 1332*h = 0 for h.
-111, -1, 0, 2/7, 2
Let -2*v**2/3 + 164*v/3 + 166/3 = 0. Calculate v.
-1, 83
Factor 3*f**2 + 144*f + 141.
3*(f + 1)*(f + 47)
Factor w**2/6 - 4*w + 95/6.
(w - 19)*(w - 5)/6
Factor -f**2/6 - 32*f/3 + 65/6.
-(f - 1)*(f + 65)/6
Determine i, given that 3*i**4/5 - 27*i**3/5 + 69*i**2/5 - 9*i = 0.
0, 1, 3, 5
Suppose -x**2/4 + 8*x - 31/4 = 0. What is x?
1, 31
Suppose -c**4 + 13*c**3/2 - 15*c**2/2 - c/2 + 5/2 = 0. What is c?
-1/2, 1, 5
Suppose 122*s**3 - 242*s**2 + 118*s + 2 = 0. What is s?
-1/61, 1
Factor -14*t**2/17 - 38*t/17 + 12/17.
-2*(t + 3)*(7*t - 2)/17
Factor -4*w**2 - 48*w - 44.
-4*(w + 1)*(w + 11)
Solve 4*k**5 - 8*k**4 - 16*k**3 + 8*k**2 + 12*k = 0 for k.
-1, 0, 1, 3
Factor -2*t**2 + 54*t.
-2*t*(t - 27)
Factor -z**2/2 - 36*z + 913/2.
-(z - 11)*(z + 83)/2
Factor -2*h**3 + 59*h**2/2 - 41*h/2 - 7.
-(h - 14)*(h - 1)*(4*h + 1)/2
Determine t, given that 2*t**2 + 412*t + 410 = 0.
-205, -1
Factor 22*x**3 + 196*x**2 + 158*x - 16.
2*(x + 1)*(x + 8)*(11*x - 1)
Determine m so that -2*m**3 + 74*m**2 - 560*m - 2400 = 0.
-3, 20
Solve -27*x**4 - 3951*x**3/5 - 30003*x**2/5 - 15093*x/5 + 11094/5 = 0 for x.
-43/3, -1, 2/5
Factor -6*p**5/11 - 114*p**4/11 - 54*p**3 - 486*p**2/11.
-6*p**2*(p + 1)*(p + 9)**2/11
Determine h so that 4*h**4 + 28*h**3 - 120*h**2 = 0.
-10, 0, 3
Solve -h**2/5 + 122*h - 18605 = 0.
305
Factor -4*c**3 + 1132*c**2 + 4*c - 1132.
-4*(c - 283)*(c - 1)*(c + 1)
Let -3*i**4 + 96*i**3 - 768*i**2 = 0. What is i?
0, 16
Solve x**3/6 + 303*x**2 + 183618*x + 37090836 = 0.
-606
Suppose -a**2/7 - 2*a = 0. Calculate a.
-14, 0
Find n such that 2*n**5/7 - 4*n**4 + 30*n**3/7 + 396*n**2/7 = 0.
-3, 0, 6, 11
Factor q**5 + 260*q**4 + 27040*q**3 + 1406080*q**2 + 36558080*q + 380204032.
(q + 52)**5
Factor l**4 + l**3 - l**2 - l.
l*(l - 1)*(l + 1)**2
Let t**2/4 + 7*t/4 = 0. Calculate t.
-7, 0
Determine v so that -2*v**2/3 + 16*v - 190/3 = 0.
5, 19
Determine m, given that m**5/9 + m**4 + 20*m**3/9 + 4*m**2/3 = 0.
-6, -2, -1, 0
Find y such that 3*y**4/8 + 1179*y**3/8 + 14553*y**2 + 14406*y = 0.
-196, -1, 0
Factor -o**3/3 - 14*o**2/3 - 44*o/3 - 40/3.
-(o + 2)**2*(o + 10)/3
Factor -x**2/3 - 33*x - 728/3.
-(x + 8)*(x + 91)/3
Factor 4*z**4/5 - 8*z**3 + 124*z**2/5 - 24*z.
4*z*(z - 5)*(z - 3)*(z - 2)/5
Find r, given that 2*r**2/9 + 1348*r/3 + 227138 = 0.
-1011
Find i, given that i**4/8 - i**3/4 - i**2/8 + i/4 = 0.
-1, 0, 1, 2
Suppose -5*u**3 - 85*u**2 - 275*u - 195 = 0. Calculate u.
-13, -3, -1
Find c, given that c**4/2 - c**2/2 = 0.
-1, 0, 1
Solve 3*l**2/5 + 72*l/5 - 2451/5 = 0 for l.
-43, 19
Find h such that 2*h**2 - 324*h + 13122 = 0.
81
Suppose -5*b**4 - 5*b**3 + 15*b**2 + 5*b - 10 = 0. What is b?
-2, -1, 1
Suppose -3*q**3 + 321*q**2/5 - 696*q/5 + 228/5 = 0. Calculate q.
2/5, 2, 19
Let 2*u**3 - 24*u**2 + 78*u - 56 = 0. Calculate u.
1, 4, 7
Let i**2/7 + 1964*i/7 + 964324/7 = 0. Calculate i.
-982
Solve -3*a**4/2 + 4875*a**3/2 - 2643867*a**2/2 + 480289521*a/2 - 475021263 = 0.
2, 541
Factor -2*i**3/7 - 14*i**2 - 1040*i/7 + 4056/7.
-2*(i - 3)*(i + 26)**2/7
Solve -5*j**3 - 355*j**2 - 4875*j + 53235 = 0.
-39, 7
Suppose 2*n**2 - 82*n + 80 = 0. Calculate n.
1, 40
Factor 3*k**4 + 864*k**3 + 80190*k**2 + 2117016*k - 26198073.
3*(k - 9)*(k + 99)**3
Determine h so that 5*h**5 - 40*h**4 - 8290*h**3 - 150300*h**2 - 718875*h + 877500 = 0.
-15, 1, 52
Factor x**2/7 - 40*x/7 - 129/7.
(x - 43)*(x + 3)/7
Factor 4*r**2 + 7088*r + 3139984.
4*(r + 886)**2
Factor -2*b**4 - 6*b**3 + 6*b**2 + 14*b - 12.
-2*(b - 1)**2*(b + 2)*(b + 3)
Solve 5*c**3 - 105*c**2 + 720*c - 1600 = 0.
5, 8
Suppose 5*p**2/3 + 4790*p/3 - 4795/3 = 0. What is p?
-959, 1
Suppose 3*i**3/8 + 3*i**2/4 - 21*i/8 + 3/2 = 0. What is i?
-4, 1
Factor -6*l**5/5 - 6*l**4/5 + 6*l**3 + 6*l**2/5 - 48*l/5 + 24/5.
-6*(l - 1)**3*(l + 2)**2/5
Solve 5*y**3 - 325*y**2 + 6560*y - 42240 = 0.
16, 33
Determine a so that -174050*a**3/13 + 170510*a**2/13 + 3522*a/13 + 18/13 = 0.
-3/295, 1
Find o, given that o**3/3 - 279*o**2 + 836*o/3 = 0.
0, 1, 836
Determine f so that 2*f**3/5 + 22*f**2 + 1214*f/5 - 1326/5 = 0.
-39, -17, 1
Suppose -p**2/3 + 10*p/3 - 16/3 = 0. What is p?
2, 8
Factor b**2/4 - 5*b/2 - 6.
(b - 12)*(b + 2)/4
Factor 4*d**2/9 - 652*d/9 - 664/3.
4*(d - 166)*(d + 3)/9
Solve -b**2/6 + 53*b/6 = 0.
0, 53
Suppose s**3/2 + 55*s**2/2 + 364*s - 392 = 0. Calculate s.
-28, 1
Find s, given that 5*s**2/3 + 2215*s/3 + 2210/3 = 0.
-442, -1
Determine y so that 4*y**2 - 3160*y + 624100 = 0.
395
Factor -w**4/10 + 11*w**3/10 - 19*w**2/5 + 26*w/5 - 12/5.
-(w - 6)*(w - 2)**2*(w - 1)/10
Factor h**4/3 + 11*h**3 + 72*h**2 - 324*h.
h*(h - 3)*(h + 18)**2/3
Factor x**2/4 + 8399*x/2 + 70543201/4.
(x + 8399)**2/4
Factor 3*o**4/4 + 48*o**3 + 858*o**2 + 2880*o + 2700.
3*(o + 2)**2*(o + 30)**2/4
Suppose h**3/5 - h**2 - h/5 + 1 = 0. Calculate h.
-1, 1, 5
Factor s**3/4 - 11*s**2/4 + 35*s/4 - 25/4.
(s - 5)**2*(s - 1)/4
Factor 5*x**2/3 - 20*x + 175/3.
5*(x - 7)*(x - 5)/3
Determine q, given that -3*q**5 + 168*q**4 + 171*q**3 = 0.
-1, 0, 57
Suppose -i**2/5 + 382*i/5 - 1137/5 = 0. Calculate i.
3, 379
Suppose 3*y**3 - 6*y**2 - 3*y + 6 = 0. Calculate y.
-1, 1, 2
Factor 2*f**5/7 - 36*f**4/7 + 204*f**3/7 - 416*f**2/7 + 354*f/7 - 108/7.
2*(f - 9)*(f - 6)*(f - 1)**3/7
Let -4*u**4/3 - 37*u**3/3 = 0. What is u?
-37/4, 0
Factor 15*g**3 - 579*g**2 + 876*g + 444.
3*(g - 37)*(g - 2)*(5*g + 2)
Suppose 5*n**4 - 10*n**3 - 155*n**2 - 140*n = 0. Calculate n.
-4, -1, 0, 7
Determine f so that -2*f**2/7 + 480*f/7 - 1422/7 = 0.
3, 237
Let -3*u**4/4 - 39*u**3/8 - 3*u**2/2 + 39*u/8 + 9/4 = 0. Calculate u.
-6, -1, -1/2, 1
Solve -4*w**3 - 68*w**2 - 264*w - 288 = 0 for w.
-12, -3, -2
What is g in 2*g**4 - 10*g**3 + 16*g**2 - 8*g = 0?
0, 1, 2
Suppose d**5/5 + 3*d**4/5 - 24*d**3/5 - 136*d**2/5 - 48*d - 144/5 = 0. What is d?
-3, -2, 6
Factor 2*o**2 + 102*o + 880.
2*(o + 11)*(o + 40)
Solve 5*l**5 + 30*l**4 + 5*l**3 - 120*l**2 - 100*l = 0 for l.
-5, -2, 