0. Calculate p.
-6/5, -1, -1/4
Let 2*p**3/9 - 116*p**2/3 + 5576*p/3 - 134480/9 = 0. What is p?
10, 82
Let -3*w**3/8 - 3*w**2/4 + 525*w/8 - 294 = 0. Calculate w.
-16, 7
Determine v so that 3*v**5/2 - 21*v**4/2 + 21*v**3/2 + 69*v**2/2 - 12*v - 24 = 0.
-1, 1, 4
Let -4*j**4/7 + 338*j**3/7 - 7858*j**2/7 + 4320*j - 28800/7 = 0. Calculate j.
3/2, 3, 40
Factor -22*d**4 - 140*d**3 - 312*d**2 - 272*d - 64.
-2*(d + 2)**3*(11*d + 4)
Solve 6*x**2/7 - 1074*x/7 + 1068/7 = 0.
1, 178
Suppose -3*o**5 - 35*o**4 - 75*o**3 - 25*o**2 + 18*o = 0. What is o?
-9, -2, -1, 0, 1/3
Factor 4*i**3 - 38*i**2 + 104*i - 88.
2*(i - 2)**2*(2*i - 11)
Find u, given that u**4 - 2*u**3 - 3*u**2 = 0.
-1, 0, 3
Factor -8*x**2/3 + 74*x/3 - 80/3.
-2*(x - 8)*(4*x - 5)/3
Solve -4*u**5 + 8*u**4 + 20*u**3 - 40*u**2 - 16*u + 32 = 0 for u.
-2, -1, 1, 2
Let 2*o**4/3 + 16*o**3/3 + 14*o**2/3 = 0. Calculate o.
-7, -1, 0
Suppose -j**2/2 + 25*j/2 - 33 = 0. What is j?
3, 22
Factor 2*p**2/7 + 1464*p/7.
2*p*(p + 732)/7
Factor -u**2/3 - 21*u - 62/3.
-(u + 1)*(u + 62)/3
Factor -23*y**2/8 + 353*y/8 - 165/4.
-(y - 1)*(23*y - 330)/8
Let 2*x**2/3 - 116*x + 5046 = 0. Calculate x.
87
Suppose -2*z**4 + 6*z**2 - 4*z = 0. Calculate z.
-2, 0, 1
Factor -3*c**4 + 9*c**3 + 54*c**2 - 120*c.
-3*c*(c - 5)*(c - 2)*(c + 4)
Factor x**3 - 16*x**2 + 73*x - 90.
(x - 9)*(x - 5)*(x - 2)
Let p**5/4 - p**4 + 5*p**2/2 - p/4 - 3/2 = 0. Calculate p.
-1, 1, 2, 3
Suppose -5*k**3 - 100*k**2 + 260*k + 880 = 0. What is k?
-22, -2, 4
Factor 5*t**4/3 + 100*t**3 + 4190*t**2/3 - 3100*t + 4805/3.
5*(t - 1)**2*(t + 31)**2/3
Determine g, given that 4*g**2/7 - 32*g/7 - 260/7 = 0.
-5, 13
What is s in s**2/4 + 65*s/4 - 67/2 = 0?
-67, 2
Let -13718*z**4 + 148010*z**3 - 111150*z**2 + 28750*z - 2500 = 0. Calculate z.
5/19, 10
Factor b**4/6 - 11*b**3/6 - 20*b**2/3 - 14*b/3.
b*(b - 14)*(b + 1)*(b + 2)/6
Determine g so that -2*g**3/7 - 1140*g**2/7 - 216600*g/7 - 13718000/7 = 0.
-190
Factor 3*p**5 + 24*p**4 + 66*p**3 + 84*p**2 + 51*p + 12.
3*(p + 1)**4*(p + 4)
Factor h**3/4 - 219*h**2/4 + 15987*h/4 - 389017/4.
(h - 73)**3/4
Suppose o**4/4 + o**3/2 + o**2/4 = 0. Calculate o.
-1, 0
Factor -i**2 + 355*i - 354.
-(i - 354)*(i - 1)
Factor -4*z**2/7 + 2070*z/7 + 148.
-2*(z - 518)*(2*z + 1)/7
Let -18*x**3 + 76*x**2 - 16*x = 0. What is x?
0, 2/9, 4
Suppose -2*x**5 + 314*x**4/5 - 424*x**3/5 + 24*x**2 = 0. Calculate x.
0, 2/5, 1, 30
Factor -2*g**2/7 + 36284*g/7 - 164566082/7.
-2*(g - 9071)**2/7
Factor -2*t**2 - 280*t - 9800.
-2*(t + 70)**2
Determine y, given that -3*y**2 - 192*y + 603 = 0.
-67, 3
Find r, given that -r**3 - 3*r**2 = 0.
-3, 0
Let -4*n**4/7 - 736*n**3 - 1648604*n**2/7 + 6661552*n/7 - 5007792/7 = 0. What is n?
-646, 1, 3
Factor y**4/2 - 48*y**3 + 1052*y**2 + 4800*y + 5000.
(y - 50)**2*(y + 2)**2/2
Determine g so that -g**5/6 - g**4/3 + g**3 + 2*g**2/3 - 13*g/6 + 1 = 0.
-3, -2, 1
Factor y**3 + 8*y**2 - 3*y - 90.
(y - 3)*(y + 5)*(y + 6)
Find k, given that -k**3 - 14*k**2 - 7*k + 78 = 0.
-13, -3, 2
Factor -c**2/6 - 58*c - 5046.
-(c + 174)**2/6
What is p in 567*p**2 + 225*p + 12 = 0?
-1/3, -4/63
Solve 2*j**2/9 - 26*j/9 + 28/3 = 0.
6, 7
Factor b**3/3 - 254*b**2 + 64516*b - 16387064/3.
(b - 254)**3/3
Factor 3*t**4/2 - 21*t**3/2 + 9*t**2/2 + 93*t/2 + 30.
3*(t - 5)*(t - 4)*(t + 1)**2/2
Suppose -10*b**3 - 155*b**2 + 80*b = 0. Calculate b.
-16, 0, 1/2
Factor -3*q**2 + 135*q - 132.
-3*(q - 44)*(q - 1)
Suppose -8*w**2 - 92*w + 48 = 0. Calculate w.
-12, 1/2
Suppose -14*y**3 + 132*y**2 - 310*y = 0. What is y?
0, 31/7, 5
Find f such that -25*f**3 - 80*f**2 - 65*f - 10 = 0.
-2, -1, -1/5
Solve 3*n**3 - 1185*n**2 + 1182*n = 0.
0, 1, 394
Determine c, given that 9*c**5/5 + 69*c**4/5 + 156*c**3/5 + 84*c**2/5 - 48*c/5 = 0.
-4, -2, 0, 1/3
Factor 128*m**3 + 244*m**2 + 104*m - 12.
4*(m + 1)**2*(32*m - 3)
Let 27*d**4/7 - 48*d**3/7 - 12*d**2/7 = 0. Calculate d.
-2/9, 0, 2
Factor 15*m**3 - 250*m**2 + 385*m - 150.
5*(m - 15)*(m - 1)*(3*m - 2)
Determine y, given that -2*y**5 + 10*y**4 = 0.
0, 5
Factor 2*g**3 - 368*g**2.
2*g**2*(g - 184)
Solve -4*k**4 + 42*k**3 - 120*k**2 + 50*k = 0.
0, 1/2, 5
Factor -2*m**4/13 - 152*m**3/13 - 438*m**2/13.
-2*m**2*(m + 3)*(m + 73)/13
Factor -9*o**4 + 228*o**3 - 685*o**2 + 550*o.
-o*(o - 22)*(3*o - 5)**2
Let 4*j**5 + 4*j**4 - 308*j**3 - 564*j**2 + 864*j = 0. Calculate j.
-8, -3, 0, 1, 9
Find z such that -2*z**4 - 14*z**3 - 12*z**2 = 0.
-6, -1, 0
Factor -5*o**2 + 40*o + 325.
-5*(o - 13)*(o + 5)
Factor 4*f**3 + 107*f**2 + 178*f + 75.
(f + 1)*(f + 25)*(4*f + 3)
What is a in -3*a**4 - 9*a**3 - 6*a**2 = 0?
-2, -1, 0
Determine v, given that -5*v**4/2 - 23*v**3/2 - 25*v**2/2 - v/2 + 3 = 0.
-3, -1, 2/5
Determine f, given that 2*f**2/3 + 2386*f/3 + 2384/3 = 0.
-1192, -1
Factor k**2/5 + k/5 - 2/5.
(k - 1)*(k + 2)/5
Solve -2*u**2 + 346*u - 344 = 0 for u.
1, 172
Factor -5*y**4 + 185*y**3 - 175*y**2 - 185*y + 180.
-5*(y - 36)*(y - 1)**2*(y + 1)
Let 6*g**4/7 + 20*g**3/7 - 20*g/7 - 6/7 = 0. Calculate g.
-3, -1, -1/3, 1
Factor 5*w**2/4 + 55*w/2 + 605/4.
5*(w + 11)**2/4
Suppose -d**5/2 + 123*d**4/2 - 357*d**3/2 - 371*d**2/2 + 663*d - 360 = 0. Calculate d.
-2, 1, 3, 120
Factor -3*m**3 + 84*m**2 - 75*m - 162.
-3*(m - 27)*(m - 2)*(m + 1)
Factor 4*y**2 - 17320*y + 17316.
4*(y - 4329)*(y - 1)
Suppose -s**4/3 - 28*s**3/3 - 118*s**2/3 - 20*s + 69 = 0. What is s?
-23, -3, 1
Suppose -9*s**2/5 - 39*s/5 - 12/5 = 0. Calculate s.
-4, -1/3
Factor -c**2 + 36*c + 76.
-(c - 38)*(c + 2)
Solve -40500*a**5 + 39600*a**4 + 41395*a**3 - 39595*a**2 - 895*a - 5 = 0 for a.
-1, -1/90, 1
Factor -39*z**3 - 339*z**2 - 204*z + 96.
-3*(z + 1)*(z + 8)*(13*z - 4)
Find p such that -2*p**2/21 + 44*p/21 - 48/7 = 0.
4, 18
Let -d**3/2 + 15*d**2 - 197*d/2 + 84 = 0. Calculate d.
1, 8, 21
Factor u**2/7 + 4451*u/7.
u*(u + 4451)/7
Let 5*s**2 - 3985*s + 7950 = 0. What is s?
2, 795
Let z**2 - 72*z = 0. Calculate z.
0, 72
Factor 2*t**2/5 - 14*t/5 - 36/5.
2*(t - 9)*(t + 2)/5
Factor 15*i**2 - 1029*i - 414.
3*(i - 69)*(5*i + 2)
Factor -14*c**3/5 - 46*c**2/5 - 8*c - 8/5.
-2*(c + 1)*(c + 2)*(7*c + 2)/5
Solve -2*q**3/15 - 8*q**2/3 + 8*q/15 + 32/3 = 0 for q.
-20, -2, 2
Find u, given that 15*u**3 + 246*u**2 - 723*u + 342 = 0.
-19, 3/5, 2
Factor -5*o**4 + 15*o**3 + 65*o**2 - 75*o.
-5*o*(o - 5)*(o - 1)*(o + 3)
Find k such that k**3/6 + 17*k**2/3 + 28*k = 0.
-28, -6, 0
Suppose u**4/5 - 6*u**3/5 + u**2/5 + 24*u/5 - 4 = 0. Calculate u.
-2, 1, 2, 5
Solve 2*j**2/5 - 76*j/5 - 32 = 0 for j.
-2, 40
Factor -3*l**2/4 - 3*l - 9/4.
-3*(l + 1)*(l + 3)/4
Determine c so that 12*c**5 + 624*c**4 + 8103*c**3 - 471*c**2 - 6240*c - 2028 = 0.
-26, -1/2, 1
Factor -2*i**3/9 + 4*i**2/9 + 110*i/9 - 112/9.
-2*(i - 8)*(i - 1)*(i + 7)/9
Find s such that -12*s**2/7 - 2*s/7 = 0.
-1/6, 0
Determine y, given that 40*y**2 + 95*y - 75 = 0.
-3, 5/8
What is v in -4*v**4 + 44*v**3 + 48*v**2 = 0?
-1, 0, 12
Factor b**4 + 21*b**3 + 57*b**2 + 55*b + 18.
(b + 1)**3*(b + 18)
Find u, given that 33*u**3 - 39*u**2 = 0.
0, 13/11
Factor 3*f**3 - 90*f**2 - 2541*f - 2448.
3*(f - 48)*(f + 1)*(f + 17)
Find t, given that 3*t**4 - t**3 - 7*t**2 + 5*t = 0.
-5/3, 0, 1
Find o, given that -4*o**5 + 48*o**4 + 736*o**3 - 8216*o**2 - 10140*o + 17576 = 0.
-13, -2, 1, 13
Factor 28*u**2/9 + 1696*u/3 - 1456/9.
4*(u + 182)*(7*u - 2)/9
Factor y**2/2 - 1423*y + 2024929/2.
(y - 1423)**2/2
Let -2*y**5 - 6*y**4 + 2*y**3 + 14*y**2 - 8 = 0. Calculate y.
-2, -1, 1
Find l, given that 6*l**4 - 2*l**3 - 618*l**2 - 982*l + 396 = 0.
-9, -2, 1/3, 11
Determine r, given that r**5/9 - r**4/9 - 4*r**3/3 - 4*r**2/9 + 16*r/9 = 0.
-2, 0, 1, 4
Let 5*l**3 - 250*l**2 - 5*l + 250 = 0. What is l?
-1, 1, 50
Suppose -4*g**4 - 28*g**3 + 4*g**2 + 28*g = 0. Calculate g.
-7, -1, 0, 1
Factor -2*q**3 - 35*q**2 + 19*q + 18.
-(q - 1)*(q + 18)*(2*q + 1)
Let -f**4/2 - 13*f**3 - 90*f**2 - 243*f - 459/2 = 0. Calculate f.
-17, -3
Suppose -4*n**2 + 19*n + 5 = 0. Calculate n.
-1/4, 5
Factor -10*s**3 + 1012*s**2 + 2054*s + 1032.
-2*(s + 1)**2*(5*s - 516)
Factor p**4/11 + 56*p**3/11 + 783*p**2/11 - 56*p/11 - 784/11.
(p - 1)*(p + 1)*(p + 28)**2/11
Factor -2*m**3/3 + 350*m**2/3 - 694*m/3 + 346/3.
-2*(m - 173)*(m - 1)**2/3
Factor a**2 - 65*a - 1494.
(a - 83)*(a + 18)
What is n in 5*n**5 - 830*n**4 + 4760*n**3 + 6430*n**2 - 4765*n - 5600 = 0?
-1, 1, 7, 160
Factor -4*l**3 + 104*l**2 - 192*l.
-4*l*(l - 24)*(l - 2)
Factor -2*p**2/13 + 