 945*y**2 - 2499*y - 1029.
-3*(y + 7)**3*(2*y + 1)
Solve -v**5/4 + 31*v**4/4 - 165*v**3/2 + 344*v**2 - 416*v = 0.
0, 2, 8, 13
Determine y, given that 5*y**2 - 1070*y + 2120 = 0.
2, 212
Factor -n**5 - 7*n**4 + 17*n**3 - 9*n**2.
-n**2*(n - 1)**2*(n + 9)
Determine p, given that -p**4 + 41*p**3/4 + 21*p**2/2 - 101*p/4 + 11/2 = 0.
-2, 1/4, 1, 11
Let r**3/6 + 19*r**2 - r/6 - 19 = 0. Calculate r.
-114, -1, 1
Determine j, given that -4*j**5 + 16*j**4 + 48*j**3 + 8*j**2 - 44*j - 24 = 0.
-1, 1, 6
Suppose o**3 + 2*o**2 - 16*o - 32 = 0. Calculate o.
-4, -2, 4
What is x in x**5/2 - 5*x**4/2 - 13*x**3/2 - 7*x**2/2 = 0?
-1, 0, 7
Determine r, given that -4*r**4 + 48*r**3 - 88*r**2 - 336*r - 196 = 0.
-1, 7
Factor -2*j**4/3 + 104*j**3/3 - 1628*j**2/3 + 2392*j - 3174.
-2*(j - 23)**2*(j - 3)**2/3
Solve 5*c**5 + 40*c**4 + 25*c**3 - 250*c**2 = 0 for c.
-5, 0, 2
Suppose -3*t**3/7 - 144*t**2/7 - 411*t/7 - 270/7 = 0. What is t?
-45, -2, -1
Factor -t**4/7 + 22*t**3/7 - 116*t**2/7 + 170*t/7 - 75/7.
-(t - 15)*(t - 5)*(t - 1)**2/7
Find t such that -2*t**5 - 10*t**4 + 6*t**3 + 34*t**2 + 20*t = 0.
-5, -1, 0, 2
Factor 2*r**2/11 - 800*r/11 - 1608/11.
2*(r - 402)*(r + 2)/11
Suppose u**2/7 - 68*u = 0. What is u?
0, 476
Factor 3*x**4/7 - 3*x**3/7 - 3*x**2 + 39*x/7 - 18/7.
3*(x - 2)*(x - 1)**2*(x + 3)/7
Let -2*v**2 - 18*v + 180 = 0. What is v?
-15, 6
What is n in 3*n**3 + 339*n**2 + 2202*n - 2544 = 0?
-106, -8, 1
Factor -116*q**2/5 - 182*q/15 - 22/15.
-2*(3*q + 1)*(58*q + 11)/15
Determine d, given that 2*d**3/3 + 14*d**2/3 - 2*d/3 - 14/3 = 0.
-7, -1, 1
Suppose -3*a**2/4 + 54*a = 0. What is a?
0, 72
Determine z so that 310*z**2 + 621*z + 2 = 0.
-2, -1/310
Let 3*i**2 - 6222*i + 6219 = 0. What is i?
1, 2073
Find f such that 2*f**4/9 - 28*f**3/9 + 16*f**2 - 320*f/9 + 256/9 = 0.
2, 4
Solve 3*d**3 + 105*d**2 - 723*d + 615 = 0.
-41, 1, 5
Factor 3*a**3/5 - 33*a**2/5 - 408*a/5 - 912/5.
3*(a - 19)*(a + 4)**2/5
Solve -7*y**5/2 + 191*y**4/2 - 118*y**3 + 26*y**2 = 0 for y.
0, 2/7, 1, 26
Let -847*p**4 - 1276*p**3 - 501*p**2 - 76*p - 4 = 0. Calculate p.
-1, -2/11, -1/7
Let -9*y**3 + 201*y**2 + 584*y + 400 = 0. What is y?
-4/3, 25
Solve -2*t**3/5 - 164*t**2/5 + 34*t + 332/5 = 0 for t.
-83, -1, 2
Determine q, given that -q**2 + 982*q + 983 = 0.
-1, 983
Find o, given that -o**5/4 + 41*o**4/4 - 475*o**3/4 + 1079*o**2/4 + 38*o - 361 = 0.
-1, 2, 19
Solve -w**2/5 + 302*w/5 + 1224/5 = 0 for w.
-4, 306
Factor 7*p**4/4 + 583*p**3/4 + 83*p**2/2.
p**2*(p + 83)*(7*p + 2)/4
Factor 4*o**3/7 + 194*o**2/7 - 304*o/7 - 200/7.
2*(o - 2)*(o + 50)*(2*o + 1)/7
Suppose 4*g**4/3 - 88*g**3/3 - 628*g**2/3 - 1208*g/3 - 224 = 0. Calculate g.
-3, -2, -1, 28
Suppose 52*z**4 + 4844*z**3 + 150660*z**2 + 1572196*z + 238328 = 0. Calculate z.
-31, -2/13
Find z such that 10*z**4/11 + 9376*z**3/11 - 342*z**2 - 9376*z/11 + 3752/11 = 0.
-938, -1, 2/5, 1
Factor -3*w**3 - 1587*w**2 - 6309*w - 4725.
-3*(w + 1)*(w + 3)*(w + 525)
Factor -2*r**5 + 30*r**4 + 12*r**3 - 164*r**2 - 234*r - 90.
-2*(r - 15)*(r - 3)*(r + 1)**3
Factor -4*i**4 - 952*i**3 - 57588*i**2 - 112336*i - 55696.
-4*(i + 1)**2*(i + 118)**2
Factor -48*c**2 - 216*c - 243.
-3*(4*c + 9)**2
Determine i, given that 2*i**5/5 - 8*i**4/5 + 6*i**3/5 = 0.
0, 1, 3
Find i such that 3*i**5/7 - 33*i**4/7 + 117*i**3/7 - 183*i**2/7 + 132*i/7 - 36/7 = 0.
1, 2, 6
Factor 2*t**2/7 - 332*t/7 + 330/7.
2*(t - 165)*(t - 1)/7
Let -j**5 - 40*j**4 - 580*j**3 - 3600*j**2 - 8640*j - 6912 = 0. What is j?
-12, -2
Suppose -4*v**2/9 - 896*v/3 - 50176 = 0. What is v?
-336
Solve 5*g**2 + 25*g - 70 = 0.
-7, 2
Factor 268*f**2/9 + 260*f/9 - 8/9.
4*(f + 1)*(67*f - 2)/9
Factor 2*f**4 + 18*f**3 + 30*f**2 + 14*f.
2*f*(f + 1)**2*(f + 7)
What is m in 2*m**2 + 2658*m = 0?
-1329, 0
Factor -3*s**5 - 225*s**4 - 222*s**3.
-3*s**3*(s + 1)*(s + 74)
Find k such that 2*k**2 - 16*k = 0.
0, 8
Factor 333*v**2/4 + 327*v/4 - 3/2.
3*(v + 1)*(111*v - 2)/4
Find n such that -3*n**2/5 - n - 2/5 = 0.
-1, -2/3
Factor 36*s**4 - 89*s**3 + 36*s**2 - 4*s.
s*(s - 2)*(4*s - 1)*(9*s - 2)
Find c such that -3*c**3 - 6*c**2 + 57*c + 60 = 0.
-5, -1, 4
Determine n, given that -29*n**3 - 31*n**2 - 2*n = 0.
-1, -2/29, 0
Let 2*b**3/5 - 2*b**2 + 12*b/5 = 0. Calculate b.
0, 2, 3
Factor -3*d**2 + 2190*d + 6597.
-3*(d - 733)*(d + 3)
Factor 2*g**2/5 + 282*g/5 + 2128/5.
2*(g + 8)*(g + 133)/5
Suppose 2*x**4/17 + 2*x**3/17 - 162*x**2/17 - 162*x/17 = 0. Calculate x.
-9, -1, 0, 9
Let 34*f**4/5 - 62*f**3/5 - 12*f**2/5 = 0. Calculate f.
-3/17, 0, 2
Determine r so that 4*r**4 + 40*r**3 + 68*r**2 - 112*r = 0.
-7, -4, 0, 1
Factor -o**3/4 + 13*o**2/4 - 11*o/2.
-o*(o - 11)*(o - 2)/4
Let 2*r**2/7 - 54*r/7 = 0. Calculate r.
0, 27
Factor n**4/5 + 31*n**3/5 - 33*n**2/5 - 31*n/5 + 32/5.
(n - 1)**2*(n + 1)*(n + 32)/5
Factor j**3/8 + 7*j**2/4 - j/2 - 7.
(j - 2)*(j + 2)*(j + 14)/8
Factor -g**4 - 45*g**3 - 658*g**2 - 2880*g + 3584.
-(g - 1)*(g + 14)*(g + 16)**2
Let 2*y**3/9 + 22*y**2/3 + 526*y/9 + 154/3 = 0. Calculate y.
-21, -11, -1
Let -5*y**2 - 17260*y - 14895380 = 0. What is y?
-1726
Factor 2*v**2/11 - 150*v/11 - 28.
2*(v - 77)*(v + 2)/11
Factor 2*g**5 + 14*g**4 + 38*g**3 + 50*g**2 + 32*g + 8.
2*(g + 1)**3*(g + 2)**2
What is c in c**5/9 - 14*c**4/3 - 29*c**3/3 - 44*c**2/9 = 0?
-1, 0, 44
Factor -4*b**3 - 32*b**2 - 80*b - 64.
-4*(b + 2)**2*(b + 4)
Factor 20*j**2 - 508*j + 16129/5.
(10*j - 127)**2/5
Determine r, given that -7*r**4/2 + 439*r**3/2 - 735*r**2/2 + 181*r/2 + 61 = 0.
-2/7, 1, 61
Let -4*w**4/3 + 796*w**3/3 - 2360*w**2/3 + 1568*w/3 = 0. Calculate w.
0, 1, 2, 196
Solve -2*f**2/5 - 102*f/5 - 20 = 0.
-50, -1
Solve 24*f**4 - 556*f**3 + 1092*f**2 + 16*f - 336 = 0 for f.
-1/2, 2/3, 2, 21
Factor -v**2/6 - 25*v/3 + 1679/6.
-(v - 23)*(v + 73)/6
Solve -w**3/7 - 71*w**2/7 - 271*w/7 - 201/7 = 0 for w.
-67, -3, -1
Factor -25*c**3 - 210*c**2 - 80*c.
-5*c*(c + 8)*(5*c + 2)
Determine c, given that -c**5/6 - 5*c**4/2 - 5*c**3/3 + 10*c**2 + 28*c/3 = 0.
-14, -2, -1, 0, 2
Suppose -l**2/2 - l/2 = 0. Calculate l.
-1, 0
Find k, given that 5*k**3 - 530*k**2 + 2060*k - 2040 = 0.
2, 102
Factor 2*g**4 + 32*g**3 + 116*g**2 + 48*g - 198.
2*(g - 1)*(g + 3)**2*(g + 11)
Factor -3*i**2/4 - 11277*i/2 - 42390243/4.
-3*(i + 3759)**2/4
Factor -s**3 - 31*s**2 - 220*s + 252.
-(s - 1)*(s + 14)*(s + 18)
Determine b so that 3*b**3 + 264*b**2 - 5409*b - 5670 = 0.
-105, -1, 18
Solve -5*l**3 + 3715*l**2 + 14920*l + 14940 = 0.
-2, 747
Find c, given that -70*c**5 + 3846*c**4/17 - 708*c**3/17 - 376*c**2/17 + 48*c/17 = 0.
-2/7, 0, 2/17, 2/5, 3
Factor -4*b**2 - 240*b - 3600.
-4*(b + 30)**2
Factor -256*a**3 + 10944*a**2 - 155952*a + 740772.
-4*(4*a - 57)**3
Determine s so that 15*s**4 - 9*s**3/4 - 45*s**2 - 93*s/4 + 9/2 = 0.
-1, 3/20, 2
Suppose k**5/7 + 12*k**4/7 - 2*k**3/7 - 24*k**2/7 + k/7 + 12/7 = 0. Calculate k.
-12, -1, 1
Determine v, given that 153*v**3 + 339*v**2 - 348*v + 36 = 0.
-3, 2/17, 2/3
Solve 5*a**5 - 4820*a**4 - 19370*a**3 + 9620*a**2 + 58125*a - 43560 = 0.
-3, 1, 968
Determine p, given that -p**2 - 179*p - 178 = 0.
-178, -1
Factor 2*s**5/13 + 264*s**4/13 + 11616*s**3/13 + 170368*s**2/13.
2*s**2*(s + 44)**3/13
Find k such that 36*k**3 - 152*k**2 + 176*k - 32 = 0.
2/9, 2
Suppose -5*d**5 + 60*d**4 - 125*d**3 - 330*d**2 + 400*d = 0. Calculate d.
-2, 0, 1, 5, 8
Determine s, given that s**5/2 - 3*s**4/2 - 9*s**3/2 + 31*s**2/2 - 18 = 0.
-3, -1, 2, 3
What is q in 2*q**2/15 + 94*q/15 - 32/5 = 0?
-48, 1
Factor -5*k**4 - 10*k**3 + 175*k**2.
-5*k**2*(k - 5)*(k + 7)
Factor h**4 + 20*h**3 + 100*h**2.
h**2*(h + 10)**2
What is z in 6845*z**4 - 14430*z**3 + 8345*z**2 - 780*z + 20 = 0?
2/37, 1
Factor s**2/6 + 49*s/6 - 17.
(s - 2)*(s + 51)/6
Determine b, given that 18*b**4 + 32*b**3 - 26*b**2 - 32*b + 8 = 0.
-2, -1, 2/9, 1
What is y in 4*y**3 - 6556*y**2 - 4*y + 6556 = 0?
-1, 1, 1639
Factor 4*l**5 + 40*l**4/3 + 52*l**3/9 - 80*l**2/9 + 16*l/9.
4*l*(l + 2)**2*(3*l - 1)**2/9
Factor 2*r**2/11 + 140*r/11 + 2450/11.
2*(r + 35)**2/11
Let -4*n**5 - 84*n**4 - 316*n**3 + 132*n**2 + 1040*n - 768 = 0. Calculate n.
-16, -4, -3, 1
Let -c**2/6 - 119*c/6 - 59/3 = 0. Calculate c.
-118, -1
Factor i**2 + 4212*i + 4435236.
(i + 2106)**2
Suppose -3*o**5/10 + 26*o**4/5 - 52*o**3/5 - 11*o**2/5 + 107*o/10 - 3 = 0. Calculate o.
-1, 1/3, 1, 2, 15
Suppose -5*k**2 + 6140*k = 0. Calculate k.
0, 1228
Factor 2*o**2/13 - 24*o/13 + 72/13.
2*(o - 6)*