 2)
Let 1715*w**5 - 215355*w**4 + 6714330*w**3 + 2903990*w**2 + 416115*w + 19845 = 0. Calculate w.
-1/7, 63
Suppose 20*d**4/3 + 2*d**3 - 2*d**2/3 = 0. What is d?
-1/2, 0, 1/5
Find r such that -4*r**5/3 - 104*r**4/3 - 156*r**3 + 304*r**2/3 + 1232*r/3 - 320 = 0.
-20, -6, -2, 1
Solve -5*d**2 + 43*d + 132 = 0.
-12/5, 11
Factor -18522*t**4/5 - 113778*t**3 + 163548*t**2/5 - 15608*t/5 + 496/5.
-2*(t + 31)*(21*t - 2)**3/5
Determine s, given that -2*s**4 + 142*s**3 - 1934*s**2 - 22542*s + 24336 = 0.
-8, 1, 39
What is u in -u**4/5 - 83*u**3/5 - 74*u**2/5 + 668*u/5 + 984/5 = 0?
-82, -2, 3
Suppose 3*t**2/7 - 855*t/7 - 246 = 0. Calculate t.
-2, 287
Factor d**4/2 + 5*d**3/2 - d**2/2 - 17*d/2 + 6.
(d - 1)**2*(d + 3)*(d + 4)/2
Find n, given that -3*n**2 - 2418*n - 487227 = 0.
-403
Factor 2*q**2 - 13594*q - 13596.
2*(q - 6798)*(q + 1)
Factor -a**5/4 - 3*a**4/4 + 9*a**3/2.
-a**3*(a - 3)*(a + 6)/4
Suppose -4*m**4 - 12*m**3 + 12*m**2 + 44*m + 24 = 0. Calculate m.
-3, -1, 2
Find d such that 4*d**4/5 - 122*d**3/5 + 386*d**2/5 - 208*d/5 - 216/5 = 0.
-1/2, 2, 27
Factor 2*q**2/11 + 186*q/11 + 364/11.
2*(q + 2)*(q + 91)/11
Factor -12*v**4 + 45*v**3 - 36*v**2 - 12*v.
-3*v*(v - 2)**2*(4*v + 1)
Suppose -4*c**4 - 28*c**3 + 296*c**2 + 3120*c + 7200 = 0. What is c?
-6, -5, 10
Factor -3*v**2 + 102*v + 216.
-3*(v - 36)*(v + 2)
Determine d, given that 2*d**4/3 - 56*d**3/3 + 160*d**2 - 384*d = 0.
0, 4, 12
Factor 2*n**5 + 4*n**4 - 2*n**3 - 4*n**2.
2*n**2*(n - 1)*(n + 1)*(n + 2)
Let -8*g**4 - 222*g**3 - 160*g**2 + 54*g = 0. What is g?
-27, -1, 0, 1/4
Find k, given that k**2/3 - 296*k/3 + 196 = 0.
2, 294
Factor -2*m**3/9 - 34*m**2/9 - 112*m/9 - 104/9.
-2*(m + 2)**2*(m + 13)/9
Let -3*m**5 - 3*m**4 + 9*m**3 + 3*m**2 - 6*m = 0. Calculate m.
-2, -1, 0, 1
Factor -r**5/2 - r**4/2 + 8*r**3 - 10*r**2.
-r**2*(r - 2)**2*(r + 5)/2
Solve q**2/3 + 11*q + 32/3 = 0.
-32, -1
Solve k**2/2 + k/2 - 28 = 0.
-8, 7
Suppose -32*k**3/5 + 48*k**2 - 114*k/5 + 14/5 = 0. What is k?
1/4, 7
Solve 4*w**5 + 440*w**4 + 868*w**3 + 432*w**2 = 0.
-108, -1, 0
Factor 8*f**2/9 + 10*f/3 - 8/9.
2*(f + 4)*(4*f - 1)/9
Determine d so that -3*d**5/2 + 87*d**4/2 + 3*d**3 - 87*d**2 - 3*d/2 + 87/2 = 0.
-1, 1, 29
Factor -3*a**2 - 261*a - 258.
-3*(a + 1)*(a + 86)
Let -l**5/4 + 5*l**4/2 - 29*l**3/4 + 8*l**2 - 3*l = 0. What is l?
0, 1, 2, 6
Factor -2*a**2 - 14*a + 120.
-2*(a - 5)*(a + 12)
Let 3*y**4/2 - 36*y**3 + 93*y**2 + 36*y - 189/2 = 0. What is y?
-1, 1, 3, 21
Factor 2*y**2/7 - 30*y/7 + 72/7.
2*(y - 12)*(y - 3)/7
Solve -5*w**3/4 + 35*w**2 = 0.
0, 28
Suppose 8*t**3 - 1112*t**2 + 1106*t - 276 = 0. Calculate t.
1/2, 138
Suppose -q**2/2 + q/2 + 10 = 0. What is q?
-4, 5
Determine m so that 14*m**3/5 + 4*m**2 - 2*m/5 - 8/5 = 0.
-1, 4/7
Factor m**2/5 - 18*m - 1224/5.
(m - 102)*(m + 12)/5
Determine v so that -2*v**3/13 - 8*v**2/13 + 22*v/13 - 12/13 = 0.
-6, 1
Factor 3*d**2 + 18984*d + 30032688.
3*(d + 3164)**2
Factor -4*n**3 + 2024*n**2 - 2020*n.
-4*n*(n - 505)*(n - 1)
Determine j so that -3*j**4 + 273*j**3 - 6072*j**2 - 6348*j = 0.
-1, 0, 46
Factor 10*r**3 + 15*r**2 - 25*r.
5*r*(r - 1)*(2*r + 5)
Find g, given that 2*g**5/3 + 62*g**4/3 - 580*g**3/3 + 556*g**2 - 618*g + 234 = 0.
-39, 1, 3
What is f in 140*f**5 + 5*f**4 - 395*f**3 - 320*f**2 - 60*f = 0?
-1, -3/4, -2/7, 0, 2
Let 36*s**5 - 176*s**4 + 232*s**3 - 80*s**2 - 12*s = 0. Calculate s.
-1/9, 0, 1, 3
What is q in 4*q**4 - 16*q**3 + 16*q**2 = 0?
0, 2
Determine w, given that -4*w**4 + 12*w**3 + 24*w**2 - 32*w = 0.
-2, 0, 1, 4
Find t such that 35*t**3/3 - 20*t**2/3 - 35*t/3 + 20/3 = 0.
-1, 4/7, 1
Factor -3*i**4 + 18*i**3 + 36*i**2 - 210*i - 225.
-3*(i - 5)**2*(i + 1)*(i + 3)
Solve -4*z**2/5 - 488*z/5 - 1888/5 = 0 for z.
-118, -4
Suppose p**3/5 - p**2/5 - 44*p/5 + 84/5 = 0. Calculate p.
-7, 2, 6
Determine i, given that -3*i**3 + 66*i**2 - 288*i = 0.
0, 6, 16
Factor -5*r**2/2 + 1390*r - 193210.
-5*(r - 278)**2/2
What is g in 98*g**5/13 + 1918*g**4/13 + 8912*g**3/13 - 5168*g**2/13 - 4960*g/13 - 800/13 = 0?
-10, -2/7, 1
What is g in -g**2/5 + 3*g - 36/5 = 0?
3, 12
What is l in -8*l**2/7 + 142*l/7 - 32 = 0?
7/4, 16
Determine r, given that -102*r**5/7 - 1076*r**4/7 - 3068*r**3/7 - 984*r**2/7 + 1010*r/7 - 100/7 = 0.
-5, -1, 2/17, 1/3
Find d, given that 3*d**2 - 2550*d + 541875 = 0.
425
Factor -3*p**3/8 + 39*p**2/2 - 2583*p/8 + 6615/4.
-3*(p - 21)**2*(p - 10)/8
Factor 2*d**2 - 536*d + 534.
2*(d - 267)*(d - 1)
Factor -63*g**2 + 93*g - 30.
-3*(g - 1)*(21*g - 10)
Factor a**2 - 25.
(a - 5)*(a + 5)
Find z such that -3*z**4/2 + 69*z**3/4 - 147*z**2/4 + 111*z/4 - 27/4 = 0.
1/2, 1, 9
Find d, given that 3*d**3/4 + 369*d**2/4 + 90*d - 183 = 0.
-122, -2, 1
Let -5*d**4 - 50*d**3 - 65*d**2 + 300*d - 180 = 0. Calculate d.
-6, 1
Find v such that 3*v**3/4 + 3069*v**2/2 - 6141*v/4 = 0.
-2047, 0, 1
Factor 4*k**3/7 + 76*k**2/7 - 256*k/7 + 176/7.
4*(k - 2)*(k - 1)*(k + 22)/7
Factor -2*j**4/7 + 26*j**3/7 - 78*j**2/7 + 54*j/7.
-2*j*(j - 9)*(j - 3)*(j - 1)/7
Factor 3*q**5 + 447*q**4 + 7047*q**3 + 42405*q**2 + 109650*q + 99000.
3*(q + 2)*(q + 5)**3*(q + 132)
Determine y, given that y**2/4 + 19*y/4 + 12 = 0.
-16, -3
Factor -5*c**3 - 2*c**2 + 68*c - 88.
-(c - 2)**2*(5*c + 22)
Factor 2*b**4 - 170*b**3 + 2928*b**2 - 15560*b + 12800.
2*(b - 64)*(b - 10)**2*(b - 1)
Find p, given that 6*p**2/5 - 142*p/5 + 92/5 = 0.
2/3, 23
Let -4*x**3/5 - 812*x**2/5 - 8160*x + 41616/5 = 0. What is x?
-102, 1
Factor -3*q**4 + 12*q**3 - 12*q**2.
-3*q**2*(q - 2)**2
Determine a so that -2*a**2 - 698*a - 1388 = 0.
-347, -2
Let -4*b**5 + 5368*b**4 - 10724*b**3 + 5360*b**2 = 0. Calculate b.
0, 1, 1340
Factor 2*w**3/7 + 992*w**2/7 + 17430*w - 248004/7.
2*(w - 2)*(w + 249)**2/7
Let 2*c**4 + 6*c**3 - 12*c**2 - 16*c = 0. What is c?
-4, -1, 0, 2
Find b such that 14*b**3/5 + 302*b**2/5 + 666*b/5 - 342/5 = 0.
-19, -3, 3/7
Find i such that i**4/2 - 27*i**2/8 + 27*i/8 = 0.
-3, 0, 3/2
Factor 3*a**3 + 15*a**2 + 18*a.
3*a*(a + 2)*(a + 3)
Solve x**3/4 - 207*x**2/2 - x/4 + 207/2 = 0 for x.
-1, 1, 414
Factor o**2/2 - 21*o - 144.
(o - 48)*(o + 6)/2
Factor u**5/4 - 57*u**4 + 3249*u**3.
u**3*(u - 114)**2/4
Suppose -5*t**3 - 4060*t**2 - 811865*t + 5018430 = 0. What is t?
-409, 6
Let 4*v**2/7 + 44*v/7 - 240/7 = 0. What is v?
-15, 4
Factor 5*y**3/2 + 30865*y**2/2 + 23823920*y + 23808490.
5*(y + 1)*(y + 3086)**2/2
Let 4*f**2 - 196*f + 1440 = 0. What is f?
9, 40
Factor 18*k**3/5 - 262*k**2/5 + 528*k/5 + 288/5.
2*(k - 12)*(k - 3)*(9*k + 4)/5
Factor -3*v**3/8 - 3*v**2/2 + 9*v/8 + 27/4.
-3*(v - 2)*(v + 3)**2/8
Let 2*a**2/13 + 30*a/13 + 72/13 = 0. Calculate a.
-12, -3
Factor t**3 - 17*t**2 + 38*t + 56.
(t - 14)*(t - 4)*(t + 1)
Factor -p**4/5 + 172*p**3/5 - 7043*p**2/5 - 30448*p/5 - 23232/5.
-(p - 88)**2*(p + 1)*(p + 3)/5
Factor 3*t**5/2 - 7*t**4 + 13*t**3 - 12*t**2 + 11*t/2 - 1.
(t - 1)**4*(3*t - 2)/2
What is f in 3*f**5 - 2130*f**4 + 378075*f**3 = 0?
0, 355
Solve -2*k**2/9 - 1804*k/9 + 3616/9 = 0.
-904, 2
Factor 6*u**3/23 + 200*u**2/23 + 66*u/23.
2*u*(u + 33)*(3*u + 1)/23
Factor -2*c**4/11 + 24*c**3/11 + 18*c**2 + 324*c/11.
-2*c*(c - 18)*(c + 3)**2/11
Factor -p**2/4 + 93*p/2 - 8649/4.
-(p - 93)**2/4
Find l such that -l**4/6 + 49*l**3/6 - 45*l**2 + 262*l/3 - 172/3 = 0.
2, 43
Factor -2*l**2 - 6*l - 4.
-2*(l + 1)*(l + 2)
Determine y, given that -3*y**2 - 3945*y = 0.
-1315, 0
Solve -3*d**4/2 - 39*d**3/2 - 72*d**2 - 54*d = 0.
-6, -1, 0
Let -21*f**2/5 + 23061*f + 32946/5 = 0. Calculate f.
-2/7, 5491
Factor 336*u**3 + 2020*u**2 + 1704*u + 20.
4*(u + 1)*(u + 5)*(84*u + 1)
Solve 20577*h**3/4 + 48735*h**2/2 + 38475*h + 20250 = 0.
-30/19
Suppose -2*z**4 + 8*z**3 + 244*z**2 - 504*z - 7938 = 0. Calculate z.
-7, 9
Factor -3*q**2 - 138*q - 1587.
-3*(q + 23)**2
Find x, given that -8*x**4/3 + 5542*x**3/3 - 3226*x**2 + 2762*x/3 + 1382/3 = 0.
-1/4, 1, 691
Factor r**3/5 - 98*r**2/5 + 629*r/5 + 728/5.
(r - 91)*(r - 8)*(r + 1)/5
Factor 4*z**2/5 - 8*z - 224/5.
4*(z - 14)*(z + 4)/5
Solve -5*t**5 + 360*t**4 - 705*t**3 + 350*t**2 = 0 for t.
0, 1, 70
Factor 2*t**4/11 - 84*t**3/11 + 362*t**2/11 + 10920*t/11 + 33800/11.
2*(t - 26)**2*(t + 5)**2/11
Factor 4*o**4 - 128*o**3 - 408*o**2 - 416*o - 140.
4*(o - 35)*(o + 1)**3
Let -4*x**4/5 + 28*x**3/5 = 0. What is x?
0, 7
Factor -4*x**3/5 + 36*x**2/5 - 96*x/5 + 16.
-4*(x - 5)*(x - 2)**2/5
What is a in 2*a**2/5 - 110*a = 0?
0, 275
Find v, given that 8*v**