2/5.
-2*(s - 6)*(s + 4)**2/5
Factor 6*d**4 - 39*d**3 + 48*d**2 - 15*d.
3*d*(d - 5)*(d - 1)*(2*d - 1)
Factor 4*q**3 + 432*q**2 + 15552*q + 186624.
4*(q + 36)**3
Factor 3*c**3/4 + 27*c**2/2 + 303*c/4 + 126.
3*(c + 3)*(c + 7)*(c + 8)/4
Solve 5*h**3 - 20*h**2 - 55*h - 30 = 0 for h.
-1, 6
Solve 3*p**5 + 6*p**4 - 33*p**3 - 12*p**2 + 84*p - 48 = 0 for p.
-4, -2, 1, 2
Factor -100*h**5 + 520*h**4 - 916*h**3 + 624*h**2 - 144*h.
-4*h*(h - 2)**2*(5*h - 3)**2
Find m such that -45*m**5 + 678*m**4 - 39*m**3 - 90*m**2 = 0.
-1/3, 0, 2/5, 15
Factor k**4/2 + 9*k**3 + 33*k**2/2 + 8*k.
k*(k + 1)**2*(k + 16)/2
Factor -5*r**4 - 10*r**3 + 15*r**2.
-5*r**2*(r - 1)*(r + 3)
Factor -6*x**2/5 - 7*x + 6/5.
-(x + 6)*(6*x - 1)/5
Determine g so that 3*g**5/11 - 37*g**4/11 + 45*g**3/11 - g**2 = 0.
0, 1/3, 1, 11
Solve -10*w**4/7 - 166*w**3/7 - 376*w**2/7 - 24*w = 0 for w.
-14, -2, -3/5, 0
Find o, given that o**2/4 + 81*o + 161 = 0.
-322, -2
Let n**4/6 + n**3/2 + n**2/3 = 0. What is n?
-2, -1, 0
Find y, given that -y**3 + 33*y**2/7 + 52*y/7 + 12/7 = 0.
-1, -2/7, 6
What is p in -5*p**4 + 100*p**3 - 655*p**2 + 1520*p - 960 = 0?
1, 3, 8
Solve 2*r**2/3 + 212*r + 16854 = 0 for r.
-159
Let -4*x**3/3 - 8*x**2 - 12*x - 16/3 = 0. What is x?
-4, -1
Determine c, given that 2*c**4 - 26*c**3 + 52*c**2 + 80*c = 0.
-1, 0, 4, 10
Factor 3*o**4 - 13*o**3 - 11*o**2 + 5*o.
o*(o - 5)*(o + 1)*(3*o - 1)
Factor -3*a**2/7 - 81*a/7 + 120.
-3*(a - 8)*(a + 35)/7
Find i, given that -i**4/4 - i**3/4 + i**2/4 + i/4 = 0.
-1, 0, 1
Suppose -m**3 + 217*m + 624 = 0. Calculate m.
-13, -3, 16
Suppose -50*s**3 + 1360*s**2 - 9248*s = 0. What is s?
0, 68/5
Suppose -n**3 + 3*n**2 + n - 3 = 0. Calculate n.
-1, 1, 3
Let -3*k**4 - 3*k**3 + 9*k**2 + 3*k - 6 = 0. Calculate k.
-2, -1, 1
Find v, given that 3*v**3 - 6*v**2 - 252*v + 1080 = 0.
-10, 6
Let 21*w**4/2 - 5025*w**3/2 - 1803*w**2 + 720*w = 0. Calculate w.
-1, 0, 2/7, 240
Factor -2*b**5/5 - 26*b**4/5 - 72*b**3/5.
-2*b**3*(b + 4)*(b + 9)/5
Factor -2*l**2/11 + 18*l/11 + 104/11.
-2*(l - 13)*(l + 4)/11
What is b in 2*b**4/17 - 128*b**3/17 + 2170*b**2/17 - 3844*b/17 = 0?
0, 2, 31
Solve 3*g**5/2 + 57*g**4/2 - 135*g**3/2 - 177*g**2/2 + 132*g + 126 = 0 for g.
-21, -1, 2
Find r such that -r**4/2 + 6*r**3 - 19*r**2 + 6*r + 63/2 = 0.
-1, 3, 7
Factor v**3/4 - 3*v**2/4 - v.
v*(v - 4)*(v + 1)/4
Factor 4*g**4 - 28*g**3 + 64*g**2 - 48*g.
4*g*(g - 3)*(g - 2)**2
What is k in -1134*k**4/17 + 33840*k**3/17 + 5488*k**2/17 - 2624*k/17 - 480/17 = 0?
-2/9, 2/7, 30
Let 294*g**4 - 903*g**3 + 738*g**2 - 228*g + 24 = 0. What is g?
2/7, 1/2, 2
Factor 220*s**2 + 612*s - 144.
4*(s + 3)*(55*s - 12)
Solve -2*o**5 + 4*o**4 + 14*o**3 - 40*o**2 + 24*o = 0 for o.
-3, 0, 1, 2
Find o such that -3*o**3 + 120*o**2 - 1071*o - 2646 = 0.
-2, 21
Factor -5*t**2/4 - 225*t/4.
-5*t*(t + 45)/4
Let -8*k**4/3 + 24*k**3 + 66*k**2 - 540*k - 1350 = 0. What is k?
-3, 15/2
Solve -36*k**4 + 120*k**3 + 92*k**2 + 16*k = 0 for k.
-1/3, 0, 4
Let r**2/4 + 41*r + 163/4 = 0. Calculate r.
-163, -1
Suppose -g**2 - 64*g + 1476 = 0. What is g?
-82, 18
Factor -3*u**2 - 243*u - 702.
-3*(u + 3)*(u + 78)
Find l such that -60*l**2/17 + 94*l/17 - 28/17 = 0.
2/5, 7/6
Factor 5*m**5 - 60*m**4 + 135*m**3.
5*m**3*(m - 9)*(m - 3)
Find c, given that 3*c**5 - 24*c**4 + 27*c**3 + 150*c**2 - 192*c - 288 = 0.
-2, -1, 3, 4
Let -3*d**5/8 - 4*d**4 + 4*d**3 + 103*d**2/4 - 269*d/8 + 33/4 = 0. Calculate d.
-11, -3, 1/3, 1, 2
Find r such that 3*r**2 - 690*r - 4977 = 0.
-7, 237
Find c such that -4*c**4/21 - 18*c**3/7 + 166*c**2/21 + 32*c/7 = 0.
-16, -1/2, 0, 3
Let 5*y**3/3 + 70*y**2/3 + 125*y/3 + 20 = 0. What is y?
-12, -1
Solve -2*y**5/3 + 30*y**4 - 1286*y**3/3 + 1610*y**2 + 13888*y/3 + 2560 = 0 for y.
-1, 15, 16
Determine n, given that -3*n**5 - 357*n**4 - 1377*n**3 + 357*n**2 + 1380*n = 0.
-115, -4, -1, 0, 1
Factor -3*r**3 - 60*r**2 - 387*r - 810.
-3*(r + 5)*(r + 6)*(r + 9)
Suppose 2*a**4/3 + 2*a**3 - 58*a**2 - 574*a/3 + 588 = 0. What is a?
-7, 2, 9
What is g in 4*g**3/7 - 4*g**2 + 4*g + 60/7 = 0?
-1, 3, 5
Find u, given that -21*u**4 - 11122*u**3 + 4244*u**2 + 2120*u = 0.
-530, -2/7, 0, 2/3
Solve -i**3/7 + 115*i**2/7 + 472*i/7 + 68 = 0.
-2, 119
Factor -4*a**2 - 226*a - 330.
-2*(a + 55)*(2*a + 3)
What is m in -18*m**4 - 30*m**3 + 118*m**2 + 126*m - 196 = 0?
-7/3, 1, 2
Factor -4*q**2/5 + 377*q - 471/5.
-(q - 471)*(4*q - 1)/5
What is n in -13*n**3 + 28*n**2 + 35*n - 6 = 0?
-1, 2/13, 3
Factor -2*d**3/9 + 52*d**2/3 + 656*d/9.
-2*d*(d - 82)*(d + 4)/9
Let -4*t**4 + 312*t**3 - 9076*t**2 + 116688*t - 559504 = 0. What is t?
17, 22
Solve 20*n**5 - 8135*n**4 + 830225*n**3 - 599875*n**2 - 1850345*n - 412090 = 0 for n.
-1, -1/4, 2, 203
Let 4*k**2/5 - 676*k/5 + 1336/5 = 0. What is k?
2, 167
Let 4*o**2 + 2584*o = 0. Calculate o.
-646, 0
Factor k**4 + 8*k**3 - 3*k**2 - 22*k + 16.
(k - 1)**2*(k + 2)*(k + 8)
Solve g**3/7 + 3*g**2/7 - 6*g/7 - 8/7 = 0.
-4, -1, 2
Factor 2*v**3/7 + 6*v**2/7 - 18*v/7 - 54/7.
2*(v - 3)*(v + 3)**2/7
Find b, given that b**2/7 + 6*b + 63 = 0.
-21
Factor -3*j**2/7 + 627*j/7 - 624/7.
-3*(j - 208)*(j - 1)/7
Factor 2*p**4 - 140*p**3 + 2448*p**2 + 140*p - 2450.
2*(p - 35)**2*(p - 1)*(p + 1)
Find s, given that s**3/7 - 5*s**2 - 16*s - 76/7 = 0.
-2, -1, 38
Solve 3*x**2 + 978*x + 79707 = 0 for x.
-163
Let -42*q**4 - 68*q**3/3 - 2*q**2 = 0. What is q?
-3/7, -1/9, 0
Determine q, given that 3*q**5/5 - 102*q**4/5 + 225*q**3 - 894*q**2 + 6972*q/5 - 3528/5 = 0.
1, 2, 3, 14
Determine g, given that -3*g**5/5 + 114*g**4/5 - 507*g**3/5 + 396*g**2/5 = 0.
0, 1, 4, 33
Let 2*t**3/9 + 6*t**2 - 56*t/9 = 0. Calculate t.
-28, 0, 1
Let -2*s**4/15 - 44*s**3/15 - 62*s**2/5 - 56*s/3 - 136/15 = 0. What is s?
-17, -2, -1
Solve x**2 - 1483*x = 0 for x.
0, 1483
Solve -95*g**2 - 370*g + 40 = 0.
-4, 2/19
Factor 4*n**4 + 36*n**3 - 192*n**2 + 208*n.
4*n*(n - 2)**2*(n + 13)
Factor -4*h**2 + 952*h - 56644.
-4*(h - 119)**2
Find d, given that 2662*d**4/5 - 110836*d**3/5 + 314688*d**2 - 8081164*d/5 + 6615898/5 = 0.
1, 149/11
Let -2*z**3/5 + 456*z**2/5 - 26442*z/5 + 51076/5 = 0. Calculate z.
2, 113
Let 34*f**2 + f = 0. What is f?
-1/34, 0
Let u**4/4 + 15*u**3/4 + 21*u**2 + 52*u + 48 = 0. What is u?
-4, -3
Factor 2*q**5/9 - 10*q**4/9 + 4*q**3/3.
2*q**3*(q - 3)*(q - 2)/9
Suppose -2*n**5 - 16*n**4 + 24*n**3 + 52*n**2 - 22*n - 36 = 0. Calculate n.
-9, -1, 1, 2
Find a, given that -2*a**2 - 36*a - 64 = 0.
-16, -2
Factor -i**2 - 12*i - 32.
-(i + 4)*(i + 8)
Find l, given that -4*l**3/5 + 16*l**2 = 0.
0, 20
Factor -4*c**4 - 16*c**3 - 20*c**2 - 8*c.
-4*c*(c + 1)**2*(c + 2)
Factor 16*k**4 + 52*k**3 - 128*k**2 + 60*k.
4*k*(k - 1)*(k + 5)*(4*k - 3)
Let -2*d**4/3 - 19*d**3/3 - d**2/3 + 196*d/3 + 32 = 0. Calculate d.
-8, -4, -1/2, 3
Find k such that 5*k**2 + 275*k + 530 = 0.
-53, -2
Suppose 882*r**5/13 + 3318*r**4/13 - 958*r**3/13 - 454*r**2/13 + 76*r/13 + 16/13 = 0. What is r?
-4, -2/7, -1/7, 1/3
What is j in 2*j**3 - 128*j**2 + 2048*j = 0?
0, 32
Suppose 5*i**2 - 55*i - 60 = 0. What is i?
-1, 12
Let 3*z**2 - 30*z + 48 = 0. Calculate z.
2, 8
Determine k so that -k**2 + 253*k + 1028 = 0.
-4, 257
Factor -2*n**2/5 - 12*n/5 + 14/5.
-2*(n - 1)*(n + 7)/5
Find g, given that -g**5 - 33*g**4 - 239*g**3 + 817*g**2 + 4080*g - 4624 = 0.
-17, -4, 1, 4
Suppose 4*p**5 - 4*p**4 - 92*p**3 + 4*p**2 + 248*p + 160 = 0. Calculate p.
-4, -1, 2, 5
Factor z**4/4 + 3*z**3 - z**2/4 - 3*z.
z*(z - 1)*(z + 1)*(z + 12)/4
What is a in -4*a**5 + 4*a**3 = 0?
-1, 0, 1
Factor -35*p**3 + 34310*p**2 - 8413300*p + 2401000.
-5*(p - 490)**2*(7*p - 2)
Solve u**2 - 26*u + 120 = 0.
6, 20
Factor 4*w**5 + 4*w**4 - 16*w**3 - 16*w**2.
4*w**2*(w - 2)*(w + 1)*(w + 2)
Factor 12*m**2/7 + 4*m/7.
4*m*(3*m + 1)/7
Suppose -c**2/3 + 142*c - 15123 = 0. What is c?
213
Factor n**3/4 - 37*n**2/4 - 54*n + 63.
(n - 42)*(n - 1)*(n + 6)/4
Factor -4*b**4 - 44*b**3 - 96*b**2 + 144*b.
-4*b*(b - 1)*(b + 6)**2
Factor -2*j**2 + 196*j + 198.
-2*(j - 99)*(j + 1)
Factor 5*p**2 + 40*p + 80.
5*(p + 4)**2
Solve z**4/4 + 17*z**3/4 + 57*z**2/4 + 67*z/4 + 13/2 = 0 for z.
-13, -2, -1
Suppose -3*g**3 + 24*g**2 + 225*g + 378 = 0. What is g?
-3, 14
Factor 3*x**3/5 + 3*x**2/5 - 99*x/5 + 189/5.
3*(x - 3)**2*(x + 7)/5
Factor 435*x**4/4 - 215*x**3 + 415*x**2/4 + 5*x/2.
5*x*(x - 1)**2*(87*x + 2)/4
Determine j, given that 4*j**5/13 - 98*j**4/13 + 704*j**3/13 - 1672*j**2/13 + 672*j/13 = 0.
0, 1