nd g, given that 2*g**5/5 + 66*g**4/5 + 124*g**3/5 = 0.
-31, -2, 0
Suppose -q**3/4 + 645*q**2/4 + 1293*q/4 + 647/4 = 0. Calculate q.
-1, 647
Let -h**3/6 - 3*h**2 - 10*h + 100/3 = 0. What is h?
-10, 2
Find m, given that 4*m**2 - 212*m + 208 = 0.
1, 52
Determine t so that 4*t**5 - 4*t**4 - 32*t**3 + 32*t**2 + 64*t - 64 = 0.
-2, 1, 2
Factor -5*r**3 + 10*r**2 + 20*r - 40.
-5*(r - 2)**2*(r + 2)
Factor -2*p**3/3 - 389*p**2/3 + 65*p.
-p*(p + 195)*(2*p - 1)/3
Find w such that 5*w**3 + 15*w**2 = 0.
-3, 0
Factor 3*h**3 - 12*h**2 - 288*h.
3*h*(h - 12)*(h + 8)
Solve 2*l**2/13 - 6*l - 80/13 = 0.
-1, 40
Factor s**3/2 - 84*s**2 - 169*s/2.
s*(s - 169)*(s + 1)/2
Suppose -2205*p**4/4 - 168*p**3 + 701*p**2/2 - 32*p + 3/4 = 0. What is p?
-1, 1/21, 3/5
Factor -1280*w**3 - 160*w**2 + 3675*w - 2250.
-5*(w + 2)*(16*w - 15)**2
Factor k**3/4 + 3*k**2/4 - 81*k/4 - 243/4.
(k - 9)*(k + 3)*(k + 9)/4
Factor -t**3/3 + 7*t - 20/3.
-(t - 4)*(t - 1)*(t + 5)/3
Factor -4*k**4 - 344*k**3 - 6672*k**2 + 31320*k - 24300.
-4*(k - 3)*(k - 1)*(k + 45)**2
Factor 2*q**4/7 - 24*q**3/7 + 90*q**2/7 - 108*q/7.
2*q*(q - 6)*(q - 3)**2/7
Let 34*h**2 - 10*h = 0. What is h?
0, 5/17
Factor w**3/3 - 11*w**2 + 105*w - 225.
(w - 15)**2*(w - 3)/3
Factor 5*p**3 - 135*p**2 + 975*p - 845.
5*(p - 13)**2*(p - 1)
Determine i so that -36*i**5/5 + 514*i**4/5 - 2206*i**3/5 + 2076*i**2/5 + 504*i + 432/5 = 0.
-1/2, -2/9, 3, 6
Factor 10*j**3/9 + 14*j**2 + 248*j/9 - 40/3.
2*(j + 3)*(j + 10)*(5*j - 2)/9
Let p**5/2 - p**4/2 - 27*p**3/2 + 77*p**2/2 - 37*p + 12 = 0. What is p?
-6, 1, 4
Factor y**5/2 + 2*y**4 + 3*y**3/2 - 2*y**2 - 2*y.
y*(y - 1)*(y + 1)*(y + 2)**2/2
Factor 50*d**3/3 - 190*d**2/3 + 128*d/3 - 8.
2*(d - 3)*(5*d - 2)**2/3
Factor -q**3/5 + 348*q**2/5 - 40368*q/5 + 1560896/5.
-(q - 116)**3/5
Find p, given that 2*p**4 - 24*p**3 - 38*p**2 + 156*p = 0.
-3, 0, 2, 13
Factor -t**3/2 - 15*t**2 - 129*t/2 - 50.
-(t + 1)*(t + 4)*(t + 25)/2
Solve -z**3/2 - z**2/2 + 6*z = 0 for z.
-4, 0, 3
Factor -2*h**2/13 - 3232*h/13 + 6472/13.
-2*(h - 2)*(h + 1618)/13
Factor -r**4/3 + 27*r**3 + 83*r**2/3 - 27*r - 82/3.
-(r - 82)*(r - 1)*(r + 1)**2/3
Factor 7*z**3/6 + 607*z**2/6 - 395*z/3 + 88/3.
(z - 1)*(z + 88)*(7*z - 2)/6
Factor -4*h**2 - 2616*h + 5248.
-4*(h - 2)*(h + 656)
Determine f so that 2202*f**3/5 + 6604*f**2/5 + 4398*f/5 - 4/5 = 0.
-2, -1, 1/1101
Factor -4*d**3 - 124*d**2 - 120*d.
-4*d*(d + 1)*(d + 30)
Factor 3*i**3 + 9*i**2/4 - 3*i - 9/4.
3*(i - 1)*(i + 1)*(4*i + 3)/4
Factor 18*z**3/7 - 8*z**2 + 6*z - 4/7.
2*(z - 2)*(z - 1)*(9*z - 1)/7
Factor m**2/6 + 133*m/6 + 242.
(m + 12)*(m + 121)/6
Let -2*r**3/5 - 114*r**2/5 + 498*r/5 + 122 = 0. What is r?
-61, -1, 5
Find m such that 4*m**2 - 92*m - 696 = 0.
-6, 29
Suppose 195*v**3/4 - 6057*v**2/8 + 3111*v/8 - 45/4 = 0. Calculate v.
2/65, 1/2, 15
Factor 2*t**2/9 - 14*t/9.
2*t*(t - 7)/9
Factor 2*r**4/3 - 8*r**3/3.
2*r**3*(r - 4)/3
Factor -3*k**4 - 648*k**3 - 46656*k**2 - 1119744*k.
-3*k*(k + 72)**3
Find n, given that 5*n**4 + 55*n**3 + 130*n**2 + 80*n = 0.
-8, -2, -1, 0
Suppose -x**2 + 796*x = 0. What is x?
0, 796
Factor w**5 + 24*w**4 - 51*w**3 + 26*w**2.
w**2*(w - 1)**2*(w + 26)
Factor -y**4 + 6*y**3 + 7*y**2 - 60*y.
-y*(y - 5)*(y - 4)*(y + 3)
Solve -3*p**2 + 414*p + 417 = 0 for p.
-1, 139
Determine r so that 5*r**3 + 305*r**2 + 3290*r = 0.
-47, -14, 0
Determine n, given that -3*n**5 - 9*n**4 + 6*n**3 + 18*n**2 - 3*n - 9 = 0.
-3, -1, 1
Let -j**4 - 36*j**3 - 357*j**2 - 578*j = 0. Calculate j.
-17, -2, 0
Suppose -3*f**3 - 48*f**2 - 204*f - 240 = 0. What is f?
-10, -4, -2
Let v**3/3 - 58*v**2/3 - 244*v/3 - 248/3 = 0. What is v?
-2, 62
Factor -2*c**2/3 + 416*c + 1250/3.
-2*(c - 625)*(c + 1)/3
Factor r**3/2 + 42*r**2 + 1845*r/2 + 1681.
(r + 2)*(r + 41)**2/2
Determine z so that z**5/3 + 4*z**4 + 11*z**3 - 38*z**2/3 - 44*z - 24 = 0.
-6, -1, 2
What is r in -5*r**4 + 45*r**3 - 100*r**2 = 0?
0, 4, 5
Factor 5*y**2 - 40*y - 45.
5*(y - 9)*(y + 1)
Factor -12*k**5 + 160*k**4 - 52*k**3.
-4*k**3*(k - 13)*(3*k - 1)
Let -2*g**3/3 - 16*g**2/3 = 0. What is g?
-8, 0
Factor -s**2/2 + 47*s/2 + 75.
-(s - 50)*(s + 3)/2
Factor -20*s**3 - 28*s**2 + 592*s + 240.
-4*(s - 5)*(s + 6)*(5*s + 2)
Factor o**2/2 + 21*o/2 + 27.
(o + 3)*(o + 18)/2
Suppose -3675*k**4 - 2751*k**3 + 8310*k**2 - 1812*k - 72 = 0. Calculate k.
-2, -6/175, 2/7, 1
Factor -10*q**3/3 + 46*q**2/3 + 20*q/3.
-2*q*(q - 5)*(5*q + 2)/3
Suppose h**3 - 89*h**2 + 1739*h + 11045 = 0. Calculate h.
-5, 47
Let -5*b**2 - 135*b + 140 = 0. Calculate b.
-28, 1
Find c such that -338*c**5/3 + 25896*c**4 - 1511606*c**3 + 8086252*c**2/3 + 441560*c + 17328 = 0.
-1/13, 2, 114
Solve 4*a**3/7 + 640*a**2/7 + 25600*a/7 = 0 for a.
-80, 0
Solve -2*f**5 - 40*f**4 - 50*f**3 + 1420*f**2 - 3640*f + 2704 = 0 for f.
-13, 2
Find h, given that 3*h**5 + 7*h**4 - 60*h**3 + 48*h**2 + 64*h - 48 = 0.
-6, -1, 2/3, 2
Let 2*a**5 + 38*a**4 + 68*a**3 = 0. Calculate a.
-17, -2, 0
Determine c, given that 2*c**3 - 540*c**2 = 0.
0, 270
What is m in -3*m**5 - 312*m**4 - 7419*m**3 + 38574*m**2 + 98172*m + 52488 = 0?
-54, -1, 6
Solve 2*b**2/17 + 482*b/17 - 972/17 = 0 for b.
-243, 2
Find p such that p**4 + 72*p**3 + 1231*p**2 - 72*p - 1232 = 0.
-44, -28, -1, 1
Factor 5*z**3 + 15*z**2 - 350*z - 720.
5*(z - 8)*(z + 2)*(z + 9)
Factor 2*c**3/7 + 6*c**2/7 + 4*c/7.
2*c*(c + 1)*(c + 2)/7
What is u in 1764*u**4 - 1204*u**3 - 4072*u**2 - 1136*u - 32 = 0?
-1, -2/7, -2/63, 2
Factor 45*r**4/4 + 165*r**3 + 1315*r**2/2 + 385*r + 245/4.
5*(r + 7)**2*(3*r + 1)**2/4
Factor 5*n**3 - 30*n**2 - 675*n - 2000.
5*(n - 16)*(n + 5)**2
Let 3*t**3 - 18*t**2 + 15*t = 0. Calculate t.
0, 1, 5
Suppose 30*o**3 - 86*o**2 + 48*o + 8 = 0. What is o?
-2/15, 1, 2
Factor 11*n**5/3 + 8*n**4 + 4*n**3/3.
n**3*(n + 2)*(11*n + 2)/3
What is z in -z**2/2 + 216*z - 23328 = 0?
216
Determine y, given that 3*y**4 - 18*y**3 + 21*y**2 + 18*y - 24 = 0.
-1, 1, 2, 4
Let 9*n**3 - 120*n**2 + 459*n - 420 = 0. Calculate n.
4/3, 5, 7
Factor -3*h**2 + 3*h + 18.
-3*(h - 3)*(h + 2)
What is x in 3*x**2/7 + 663*x/7 - 2700/7 = 0?
-225, 4
Determine a so that -3*a**5/4 - 5*a**4/4 + 5*a**3/2 + 5*a**2 + 2*a = 0.
-2, -1, -2/3, 0, 2
Factor 5*d**2 + 75*d + 270.
5*(d + 6)*(d + 9)
Factor -3*x**5 - 186*x**4 - 4086*x**3 - 35796*x**2 - 83391*x + 123462.
-3*(x - 1)*(x + 6)*(x + 19)**3
Let 5*i**2 + 165*i - 540 = 0. What is i?
-36, 3
Find f, given that -6*f**5/11 + 876*f**4/11 - 43182*f**3/11 + 743904*f**2/11 - 1202688*f/11 - 1990656/11 = 0.
-1, 3, 48
Factor -4*b**3/3 - 112*b**2/3 - 100*b/3 + 72.
-4*(b - 1)*(b + 2)*(b + 27)/3
Factor 6*c**3 - 15*c**2 - 42*c + 24.
3*(c - 4)*(c + 2)*(2*c - 1)
Let -5*f**3 - 1025*f**2 - 54035*f - 153015 = 0. Calculate f.
-101, -3
Factor -r**4/5 - 9*r**3/5 - 21*r**2/5 - 19*r/5 - 6/5.
-(r + 1)**3*(r + 6)/5
Factor a**4/2 + 15*a**3 + 249*a**2/2 + 206*a + 96.
(a + 1)**2*(a + 12)*(a + 16)/2
Factor -4*s**3 + 136*s**2 - 704*s + 896.
-4*(s - 28)*(s - 4)*(s - 2)
Determine s so that -2*s**2/7 + 12*s/7 + 2 = 0.
-1, 7
Factor -2*k**4/5 - 189*k**3/5 + 19*k**2.
-k**2*(k + 95)*(2*k - 1)/5
Find x such that 4*x**2/9 + 4060*x/9 + 1352/3 = 0.
-1014, -1
Factor 3*m**2 - 18*m - 741.
3*(m - 19)*(m + 13)
Factor 4*l**3 + 40*l**2 - 44*l.
4*l*(l - 1)*(l + 11)
Suppose -c**4/4 + 19*c**3/4 - 27*c**2/4 - 115*c/4 - 17 = 0. What is c?
-1, 4, 17
Find o, given that 5*o**2 + 100*o - 105 = 0.
-21, 1
Factor -2*r**3/11 + 190*r**2/11 + 386*r/11 + 194/11.
-2*(r - 97)*(r + 1)**2/11
Suppose -2*j**3/11 + 14712*j**2/11 - 29418*j/11 + 14708/11 = 0. Calculate j.
1, 7354
Factor 5*h**2 + 130*h - 135.
5*(h - 1)*(h + 27)
Solve -414*r**4 - 4143*r**3 - 11208*r**2 - 7533*r - 54 = 0 for r.
-6, -3, -1, -1/138
Let -9*r**5/2 - 138*r**4 - 464*r**3 - 507*r**2 - 407*r/2 - 27 = 0. What is r?
-27, -2, -1, -1/3
What is p in p**3/4 + 17*p**2/2 - p/4 - 17/2 = 0?
-34, -1, 1
Let o**2/5 + 53*o/5 = 0. What is o?
-53, 0
Suppose u**2/4 - 409*u/2 + 167281/4 = 0. Calculate u.
409
Solve -5*t**2 - 190*t + 1320 = 0 for t.
-44, 6
Solve 2*v**2/15 - 32/15 = 0 for v.
-4, 4
Solve 2*h**2/5 - 26*h/5 - 136/5 = 0 for h.
-4, 17
What is i in -25*i**4 + 585*i**3 - 1265*i**2 + 75*i + 630 = 0?
-3/5, 1, 2, 21
Determine l, given that -2*l**5/3 + 6*l**4 + 44*l**3/3 = 0.
-2, 0, 11
Factor 5*a**3 - 30*a**2 + 25*a.
5*a*(a - 5)*(a - 1)
Determine j, given that -51*j**2 - 90*j + 24 = 0.
-2, 4/17
Factor -3*h**3 + 123*h**2 + 12*h - 492.
-3*(h - 41)*(