56*k**2/3 + 32*k/9 = 0.
0, 2/7, 1, 2, 4
Find l, given that 12*l**5 - 1020*l**4 + 29235*l**3 - 291900*l**2 + 270480*l - 65856 = 0.
1/2, 28
Let -4*r**2 + 448*r - 444 = 0. Calculate r.
1, 111
Factor -5*g**4 + 30*g**3 + 5*g**2 - 30*g.
-5*g*(g - 6)*(g - 1)*(g + 1)
Solve 4*d**4 - 36*d**3 - 44*d**2 + 36*d + 40 = 0 for d.
-1, 1, 10
Factor 4*g**2/3 + 13*g + 9.
(g + 9)*(4*g + 3)/3
Factor -i**2/2 + 89*i/2 - 395.
-(i - 79)*(i - 10)/2
Suppose -k**3/4 - 61*k**2/4 - 119*k/4 - 59/4 = 0. What is k?
-59, -1
Find g such that -2*g**5 - 30*g**4 - 160*g**3 - 320*g**2 + 512 = 0.
-4, 1
Determine t so that -3*t**4 - 72*t**3 - 195*t**2 - 126*t = 0.
-21, -2, -1, 0
Let r**4/4 + 63*r**3/2 = 0. Calculate r.
-126, 0
Solve 3*c**2/4 + 501*c/4 + 249/2 = 0.
-166, -1
Factor 3*y**3/7 + 426*y**2/7 - 435*y/7 - 858/7.
3*(y - 2)*(y + 1)*(y + 143)/7
Solve q**5/2 - 5*q**4 + 19*q**3 - 34*q**2 + 57*q/2 - 9 = 0.
1, 2, 3
Let 3*t**3 - 891*t**2 + 88209*t - 2910897 = 0. Calculate t.
99
Solve 3*l**3/2 + 102*l**2 + 390*l + 384 = 0.
-64, -2
Factor -5*d**3/6 - 5815*d**2/3 - 6762845*d/6.
-5*d*(d + 1163)**2/6
Factor -98*p**2/5 + 56*p/5 - 8/5.
-2*(7*p - 2)**2/5
Determine b so that 2*b**3/13 - 162*b**2/13 + 3648*b/13 - 14440/13 = 0.
5, 38
Solve -o**3 + 255*o**2 - 1254*o + 1000 = 0 for o.
1, 4, 250
Factor -3*p**2/5 - 12*p + 63/5.
-3*(p - 1)*(p + 21)/5
Let z**5/2 + z**4/2 - 3*z**3/2 - 5*z**2/2 - z = 0. Calculate z.
-1, 0, 2
Determine n so that -n**4/2 - 11*n**3/2 + 147*n**2/2 + 715*n/2 - 425 = 0.
-17, -5, 1, 10
Find l such that -4*l**2/7 - 80*l/7 + 500/7 = 0.
-25, 5
Factor -4*y**2 - 8*y - 4.
-4*(y + 1)**2
Find u, given that -u**2/5 + 229*u/5 + 46 = 0.
-1, 230
What is y in -5*y**3 + 390*y**2 = 0?
0, 78
Suppose 4*c**3/9 + 28*c**2/9 - 32*c/3 - 80 = 0. What is c?
-6, 5
Suppose -7*k**5 - 499*k**4 - 135*k**3 + 499*k**2 + 142*k = 0. What is k?
-71, -1, -2/7, 0, 1
Factor 5*c**5 + 140*c**4 + 390*c**3 + 380*c**2 + 125*c.
5*c*(c + 1)**3*(c + 25)
Factor -3*q**3 - 24*q**2 + 192*q + 1536.
-3*(q - 8)*(q + 8)**2
Let b**5 - 6*b**4 - b**3 + 34*b**2 - 12*b - 40 = 0. Calculate b.
-2, -1, 2, 5
Factor -3380*f**2 - 12220*f - 11045.
-5*(26*f + 47)**2
Factor -3*f**2/5 + 264*f/5 - 5808/5.
-3*(f - 44)**2/5
Suppose -4*n**4 + 68*n**3 - 256*n**2 + 192*n = 0. Calculate n.
0, 1, 4, 12
Determine i, given that -5*i**2 + 180*i + 1025 = 0.
-5, 41
Find w such that w**3/6 - 7*w**2/6 - w/6 + 7/6 = 0.
-1, 1, 7
Factor -h**2/6 - 95*h/3 - 63/2.
-(h + 1)*(h + 189)/6
Factor -9*a**3 + 123*a**2 + 192*a - 180.
-3*(a - 15)*(a + 2)*(3*a - 2)
Solve -2*c**3 + 26*c**2 - 70*c - 98 = 0.
-1, 7
Solve 2*q**3/3 + 1646*q**2/3 - 3298*q/3 + 550 = 0 for q.
-825, 1
Factor -3*l**2.
-3*l**2
Let 275*g**5 - 2580*g**4 + 8380*g**3 - 10350*g**2 + 3105*g - 270 = 0. What is g?
2/11, 1/5, 3
Factor 4*o**3 - 3*o**2 - o.
o*(o - 1)*(4*o + 1)
Determine l, given that -l**2/3 - 253*l/3 - 502/3 = 0.
-251, -2
Factor 2*a**5 + 2906*a**4 + 1051238*a**3 - 3171170*a**2 + 3176992*a - 1059968.
2*(a - 1)**3*(a + 728)**2
Factor -2*g**2/9 + 16*g/3 + 104/9.
-2*(g - 26)*(g + 2)/9
Factor -4*v**3 + 156*v**2 + 168*v - 320.
-4*(v - 40)*(v - 1)*(v + 2)
Find o such that o**3/4 - o**2 - o/4 + 1 = 0.
-1, 1, 4
Determine f, given that -12*f**5 - 195*f**4 - 168*f**3 + 834*f**2 - 324*f - 135 = 0.
-15, -3, -1/4, 1
Suppose -v**3/11 + 20*v**2/11 - 48*v/11 - 576/11 = 0. Calculate v.
-4, 12
Let -p**5/6 - 7*p**4/3 + p**3/3 + 14*p**2/3 - p/6 - 7/3 = 0. Calculate p.
-14, -1, 1
Factor 48*h**4 - 100*h**3 + 8*h**2.
4*h**2*(h - 2)*(12*h - 1)
Factor -4*f**2 + 32*f - 28.
-4*(f - 7)*(f - 1)
Solve -b**3/5 + 106*b**2/5 + b/5 - 106/5 = 0 for b.
-1, 1, 106
Factor -38*f**2/3 - 268*f/3 - 14/3.
-2*(f + 7)*(19*f + 1)/3
Suppose -f**5/6 + 2*f**4/3 - f**3/6 - f**2 = 0. What is f?
-1, 0, 2, 3
Find c such that 2*c**4/7 + 60*c**3/7 - 138*c**2/7 - 44*c + 384/7 = 0.
-32, -2, 1, 3
What is a in -3*a**3 - 15*a**2 - 9*a + 27 = 0?
-3, 1
Determine r so that r**3/2 + 174*r**2 + 20184*r + 780448 = 0.
-116
Find n such that 3*n**5 - 24*n**4 + 24*n**3 + 96*n**2 - 144*n = 0.
-2, 0, 2, 6
Find l, given that 3*l**2 - 12*l + 12 = 0.
2
Find c, given that c**2/3 - 6*c - 88/3 = 0.
-4, 22
What is i in i**5/3 + i**4 - 10*i**3 - 2*i**2/3 + 31*i + 21 = 0?
-7, -1, 3
Factor -2*r**2/9 - 1636*r/9 - 334562/9.
-2*(r + 409)**2/9
Solve -2*o**2 + 220*o - 6050 = 0.
55
Factor 2*a**5 - 452*a**4 - 3712*a**3 - 7488*a**2.
2*a**2*(a - 234)*(a + 4)**2
Factor 3*k**2/4 - 9*k + 81/4.
3*(k - 9)*(k - 3)/4
Suppose 78*g**4 + 4*g**3 - 88*g**2 - 4*g + 10 = 0. What is g?
-1, -5/13, 1/3, 1
Factor 134*n**2/7 + 934*n/7 - 4.
2*(n + 7)*(67*n - 2)/7
Determine f so that -3*f**5/5 - 588*f**4/5 - 28218*f**3/5 + 58212*f**2/5 - 29403*f/5 = 0.
-99, 0, 1
Factor -h**3/4 - 125*h**2/4 - 723*h/4 - 1071/4.
-(h + 3)**2*(h + 119)/4
Let -4*s**5 + 8*s**4 - 8*s**2 + 4*s = 0. What is s?
-1, 0, 1
Factor w**5 - 5*w**4 - w**3 + 5*w**2.
w**2*(w - 5)*(w - 1)*(w + 1)
Suppose -m**5/4 - 3*m**4/4 + m**3/4 + 3*m**2/4 = 0. What is m?
-3, -1, 0, 1
Solve 83*o**2/9 + 110*o/3 - 8/9 = 0.
-4, 2/83
Find p such that -2*p**3 - 12*p**2 - 18*p = 0.
-3, 0
Determine z so that -2*z**2 - 184*z - 4232 = 0.
-46
Find t such that 2*t**4 + 18*t**3 + 26*t**2 - 18*t - 28 = 0.
-7, -2, -1, 1
Suppose 14*u**4/19 + 74*u**3/19 + 6*u**2/19 - 74*u/19 - 20/19 = 0. Calculate u.
-5, -1, -2/7, 1
Find z such that -2*z**3 - 84*z**2 - 862*z - 780 = 0.
-26, -15, -1
Factor -4*p**2 + 28*p.
-4*p*(p - 7)
Solve -2*k**4/9 + 4*k**3/3 + 24*k**2 + 84*k + 90 = 0 for k.
-3, 15
Find g such that g**4/4 - 25*g**3/4 + 87*g**2/4 - 63*g/4 = 0.
0, 1, 3, 21
Find s such that -26*s**3/9 + 144*s**2 + 200*s/9 = 0.
-2/13, 0, 50
Find x such that -2*x**3 + 14*x**2/3 + 64*x/3 - 32 = 0.
-3, 4/3, 4
Suppose -4*r**2 - 6576*r - 2702736 = 0. What is r?
-822
Find d, given that 2*d**5/13 - 72*d**4/13 - 478*d**3/13 - 1068*d**2/13 - 1000*d/13 - 336/13 = 0.
-2, -1, 42
Find x, given that 12*x**2 + 136*x + 124 = 0.
-31/3, -1
Suppose w**5/7 + 4*w**4/7 + w**3/7 - 10*w**2/7 - 4*w/7 + 8/7 = 0. What is w?
-2, 1
What is t in -2*t**3 - 4*t**2 + 22*t + 24 = 0?
-4, -1, 3
Factor -5*c**3 + 900*c**2 + 5*c - 900.
-5*(c - 180)*(c - 1)*(c + 1)
Solve c**5 + 282*c**4 + 19304*c**3 - 82078*c**2 - 19305*c + 81796 = 0.
-143, -1, 1, 4
Solve 6*z**3 - 55*z**2 + 57*z - 8 = 0 for z.
1/6, 1, 8
Determine w, given that 12*w**5 - 56*w**4 - 272*w**3 - 360*w**2 - 188*w - 32 = 0.
-1, -1/3, 8
Factor 4*a**2 - 34*a/3 + 20/3.
2*(a - 2)*(6*a - 5)/3
What is v in -5*v**5 + 70*v**4 - 105*v**3 - 220*v**2 + 500*v - 240 = 0?
-2, 1, 2, 12
Suppose 2*f**2/3 + 8260*f/3 - 2754 = 0. Calculate f.
-4131, 1
Determine r, given that 2*r**4/7 - 8*r**3 + 422*r**2/7 - 744*r/7 - 1224/7 = 0.
-1, 6, 17
Factor 5*k**3 - 55*k**2 - 1120*k - 1980.
5*(k - 22)*(k + 2)*(k + 9)
Factor 5*l**4 - 330*l**3 + 315*l**2 + 650*l.
5*l*(l - 65)*(l - 2)*(l + 1)
Factor 4*k**5 + 44*k**4 + 96*k**3.
4*k**3*(k + 3)*(k + 8)
Factor -2*g**2 - 1100*g - 151250.
-2*(g + 275)**2
Factor 2*m**2/9 + 118*m/9 - 124/3.
2*(m - 3)*(m + 62)/9
Determine p, given that -5*p**2 - 120*p - 640 = 0.
-16, -8
Factor -g**3/6 + 5*g**2/2 - 21*g/2 + 49/6.
-(g - 7)**2*(g - 1)/6
Factor -4*n**4 + 112*n**3 - 396*n**2 + 288*n.
-4*n*(n - 24)*(n - 3)*(n - 1)
Determine m so that 3*m**5 - 6*m**4 - 24*m**3 - 6*m**2 + 21*m + 12 = 0.
-1, 1, 4
Factor -2*c**3 + 72*c**2 + 314*c + 240.
-2*(c - 40)*(c + 1)*(c + 3)
Factor r**5/2 + 2*r**4 + r**3 - 2*r**2 - 3*r/2.
r*(r - 1)*(r + 1)**2*(r + 3)/2
Suppose 4*f**4 + 156*f**3 - 492*f**2 + 500*f - 168 = 0. Calculate f.
-42, 1
Let c**2/2 + 527*c + 3153/2 = 0. Calculate c.
-1051, -3
Suppose g**2/7 - 87*g/7 - 88/7 = 0. What is g?
-1, 88
Determine k, given that k**2/7 + 4*k - 960/7 = 0.
-48, 20
Factor -d**3/2 - 11*d**2/2 - 7*d + 40.
-(d - 2)*(d + 5)*(d + 8)/2
Factor 5*i**4 - 25*i**3 - 345*i**2 + 1645*i + 1960.
5*(i - 7)**2*(i + 1)*(i + 8)
What is a in -21160*a**2 + 2300*a - 125/2 = 0?
5/92
Solve -2*m**4 - 528*m**3 - 46980*m**2 - 1453248*m - 3951018 = 0.
-87, -3
Factor 2*k**4/13 + 8*k**3/13 - 24*k**2/13.
2*k**2*(k - 2)*(k + 6)/13
Suppose -2*q**4/3 + 62*q**3/3 - 560*q**2/3 + 392*q = 0. Calculate q.
0, 3, 14
Factor s**5/2 + 9*s**4/2 + 10*s**3 + 6*s**2.
s**2*(s + 1)*(s + 2)*(s + 6)/2
Suppose 2*g**3/3 + 32*g**2 + 414*g + 2116/3 = 0. Calculate g.
-23, -2
Solve -4*l**5 + 16*l**4 + 4*l**3 - 64*l**2 + 48*l = 0 for l.
-2, 0, 1, 2, 3
Determine d, given that d**4/11 + 337*d**3/11 - 685*d**2/11 - 2