 20)
Find q, given that -2*q**4/17 + 30*q**3/17 + 928*q**2/17 + 4992*q/17 + 4096/17 = 0.
-8, -1, 32
Solve -b**2 - 8*b - 15 = 0 for b.
-5, -3
Factor -o**3/5 - 178*o**2/5 - 7921*o/5.
-o*(o + 89)**2/5
Let -2*c**4/17 - 82*c**3/17 - 78*c**2/17 + 82*c/17 + 80/17 = 0. What is c?
-40, -1, 1
What is a in -2*a**4 + 2*a**3 + 10*a**2 + 6*a = 0?
-1, 0, 3
Solve -m**2/10 - 231*m/5 - 53361/10 = 0 for m.
-231
Suppose -5*c**2 - 4050*c = 0. Calculate c.
-810, 0
Find d, given that 2*d**3 + 4512*d**2 = 0.
-2256, 0
Factor -3*s**2 + 48*s + 51.
-3*(s - 17)*(s + 1)
Let -3*s**4/2 - 30*s**3 + 6*s**2 + 120*s = 0. What is s?
-20, -2, 0, 2
Factor 7*t**2/3 + 13*t + 20/3.
(t + 5)*(7*t + 4)/3
Factor 2*q**3/5 - 8*q**2/5 - 6*q/5 + 36/5.
2*(q - 3)**2*(q + 2)/5
Determine c, given that -2*c**2/3 - 320*c/3 = 0.
-160, 0
Suppose m**3/5 + 2*m**2 - 37*m/5 + 26/5 = 0. Calculate m.
-13, 1, 2
Determine d so that -4*d**2/3 + 12704*d/3 - 12700/3 = 0.
1, 3175
Find g, given that 65*g**5 - 1315*g**4 + 3745*g**3 - 3005*g**2 + 510*g = 0.
0, 3/13, 1, 2, 17
Factor -2*i**3 + 32*i**2 - 130*i + 100.
-2*(i - 10)*(i - 5)*(i - 1)
Factor -i**2/4 - 151*i/4.
-i*(i + 151)/4
Factor -n**2/8 - 31*n/8 - 15/4.
-(n + 1)*(n + 30)/8
What is c in 5*c**3/6 + 755*c**2/2 + 114005*c/2 + 17214755/6 = 0?
-151
Factor -2*p**3/5 + 832*p**2/5 - 90538*p/5 + 164836.
-2*(p - 203)**2*(p - 10)/5
Factor -2*r**4/11 - 18*r**3/11 - 42*r**2/11 - 38*r/11 - 12/11.
-2*(r + 1)**3*(r + 6)/11
Let 4*g**3/5 - 8*g**2/5 - 116*g/5 + 24 = 0. What is g?
-5, 1, 6
Factor -8*h**3 - 670*h**2 - 13944*h + 3528.
-2*(h + 42)**2*(4*h - 1)
Factor -25*f**3 + 115*f**2 + 950*f + 360.
-5*(f - 9)*(f + 4)*(5*f + 2)
Factor 2*g**4 - 4*g**3 - 2*g**2 + 4*g.
2*g*(g - 2)*(g - 1)*(g + 1)
Factor q**4/4 - 9*q**3/4 - q**2/4 + 105*q/4.
q*(q - 7)*(q - 5)*(q + 3)/4
Factor -3*i**5 + 42*i**4 - 54*i**3 - 444*i**2 - 543*i - 198.
-3*(i - 11)*(i - 6)*(i + 1)**3
Suppose -b**4/3 + 11*b**3/3 - 11*b**2 + 37*b/3 - 14/3 = 0. What is b?
1, 2, 7
Solve 3*c**3 + 3*c**2 - 48*c + 60 = 0 for c.
-5, 2
Factor 5*t**4 + 620*t**3 - 5*t**2 - 620*t.
5*t*(t - 1)*(t + 1)*(t + 124)
Find w, given that -16*w**2/7 + 113*w/7 - 1 = 0.
1/16, 7
Factor 2*d**3/3 + 38*d**2/3 + 152*d/3 + 56.
2*(d + 2)*(d + 3)*(d + 14)/3
Solve -2*h**3 + 200*h**2 - 4794*h - 10404 = 0.
-2, 51
Factor -r**5 - 11*r**4 - 46*r**3 - 90*r**2 - 81*r - 27.
-(r + 1)**2*(r + 3)**3
Factor 3*x**2 - 45*x + 150.
3*(x - 10)*(x - 5)
Determine p, given that 3*p**4/5 - 4338*p**3/5 + 312768*p**2 + 3145056*p/5 = 0.
-2, 0, 724
Factor s**3/2 - 7*s**2 - 16*s.
s*(s - 16)*(s + 2)/2
Factor -2*d**3 - 34*d**2/3 + 64*d/3 + 56/3.
-2*(d - 2)*(d + 7)*(3*d + 2)/3
Let 5*r**5/4 - 52*r**4 + 624*r**3 - 3379*r**2/2 + 2299*r/4 + 1083/2 = 0. Calculate r.
-2/5, 1, 3, 19
Solve -t**3/4 - 21*t**2/2 + 43*t/4 = 0.
-43, 0, 1
Determine a, given that 2*a**3/13 - 14*a**2/13 + 24*a/13 = 0.
0, 3, 4
Suppose 4*d**2 - 68*d = 0. What is d?
0, 17
Solve -2*j**2/3 + 16*j = 0 for j.
0, 24
Find f, given that f**3/8 - 3*f/8 - 1/4 = 0.
-1, 2
Solve -3*n**3/4 - 63*n**2/4 - 297*n/4 + 363/4 = 0.
-11, 1
Suppose 5*q**2 - 1070*q + 57245 = 0. What is q?
107
Suppose 2*z**2 - 124*z/5 - 1104/5 = 0. What is z?
-6, 92/5
Find k, given that k**4/2 - 27*k**3/2 + 211*k**2/2 - 585*k/2 + 200 = 0.
1, 5, 16
Factor n**3 - 7*n**2 - 17*n - 9.
(n - 9)*(n + 1)**2
Let -3*f**4/4 + 9*f**3/4 + 15*f**2/4 - 9*f/4 - 3 = 0. What is f?
-1, 1, 4
Factor c**4/4 + 53*c**3/4 + 1053*c**2/4 + 9295*c/4 + 15379/2.
(c + 13)**3*(c + 14)/4
Factor -4*l**2 - 164*l - 160.
-4*(l + 1)*(l + 40)
Factor 2*u**3 - 18*u**2 + 46*u - 30.
2*(u - 5)*(u - 3)*(u - 1)
Suppose -4*s**3 - 156*s**2 - 1836*s - 5780 = 0. Calculate s.
-17, -5
Factor a**3/2 - 25*a**2 + 93*a/2 + 72.
(a - 48)*(a - 3)*(a + 1)/2
Factor -4*r**5 - 14*r**4 - 8*r**3 + 8*r**2.
-2*r**2*(r + 2)**2*(2*r - 1)
What is k in 5*k**2 - 60*k + 55 = 0?
1, 11
Factor 3*b**3/2 + 75*b**2 - 1221*b/2 - 684.
3*(b - 8)*(b + 1)*(b + 57)/2
Suppose -2*p**2/3 + 16*p/3 - 10 = 0. Calculate p.
3, 5
Find d such that 2*d**4/21 + 104*d**3/21 + 1334*d**2/21 - 312*d/7 - 4056/7 = 0.
-26, -3, 3
What is k in -k**5/11 + 7*k**4/11 - k**3 + 5*k**2/11 = 0?
0, 1, 5
Find u such that -6*u**5/5 - 106*u**4/5 - 596*u**3/5 - 1216*u**2/5 - 576*u/5 = 0.
-9, -4, -2/3, 0
Suppose -2*p**4/7 - 14*p**3 - 1632*p**2/7 - 9728*p/7 - 8192/7 = 0. What is p?
-16, -1
Factor d**3 + 5*d**2 + 6*d.
d*(d + 2)*(d + 3)
Factor -2*u**2/23 - 224*u/23 - 6272/23.
-2*(u + 56)**2/23
Suppose 4*c**4 - 28*c**3 - 72*c**2 = 0. What is c?
-2, 0, 9
Factor w**4/3 + 17*w**3/3 + 100*w**2/3 + 76*w + 48.
(w + 1)*(w + 4)*(w + 6)**2/3
What is w in -4*w**5 - 12*w**4 + 8*w**3 + 48*w**2 + 32*w = 0?
-2, -1, 0, 2
Determine a, given that a**3 - 981*a**2 + 242055*a - 717363 = 0.
3, 489
Factor -3*b**4 - 84*b**3 - 345*b**2.
-3*b**2*(b + 5)*(b + 23)
Solve -3*x**3 - 3*x**2 + 3*x + 3 = 0 for x.
-1, 1
Let 6*l**4/11 - 116*l**3/11 + 538*l**2/11 - 92*l/11 - 336/11 = 0. Calculate l.
-2/3, 1, 7, 12
Determine o so that -2*o**2/11 + 1644*o/11 - 337842/11 = 0.
411
Determine r, given that r**3/6 + 62*r**2 + 5766*r = 0.
-186, 0
Factor 3*i**2/2 + 363*i/2 - 558.
3*(i - 3)*(i + 124)/2
What is g in -4*g**5 + 16*g**4 - 12*g**3 - 16*g**2 + 16*g = 0?
-1, 0, 1, 2
Let -100*x**2 - 2040*x - 10404 = 0. What is x?
-51/5
Solve 5*z**5 + 10*z**4 - 40*z**3 - 90*z**2 - 45*z = 0 for z.
-3, -1, 0, 3
Determine f, given that -2*f**5 + 6*f**4 - 6*f**3 + 2*f**2 = 0.
0, 1
Let 3*u**5 - 33*u**4 - 393*u**3 + 45*u**2 + 4050*u = 0. Calculate u.
-5, 0, 3, 18
Factor -4*r**2 - 96*r + 2560.
-4*(r - 16)*(r + 40)
Determine s, given that -s**4 - 1432*s**3 - 684018*s**2 - 109213920*s - 108531333 = 0.
-477, -1
Let -42*k**3 - 295*k**2 - 259*k - 6 = 0. What is k?
-6, -1, -1/42
Suppose -75*m**3 - 303*m**2 - 312*m - 12 = 0. Calculate m.
-2, -1/25
Let -8*v**2/23 + 62*v/23 + 16/23 = 0. What is v?
-1/4, 8
Find n, given that -4*n**2 - 868*n + 1752 = 0.
-219, 2
Find d, given that d**3/4 - 3*d**2/4 - 6*d - 7 = 0.
-2, 7
Let -5*s**2/6 + 745*s/3 - 495/2 = 0. Calculate s.
1, 297
Factor 3*n**3/4 - 9*n**2/2 + 15*n/4.
3*n*(n - 5)*(n - 1)/4
Suppose 4*z**4 - 1252*z**3 - 12*z**2 + 3764*z - 2504 = 0. Calculate z.
-2, 1, 313
Factor -o**3/5 + 43*o**2/5 - 83*o/5 + 41/5.
-(o - 41)*(o - 1)**2/5
Factor 2*b**2/19 - 42*b/19 + 4.
2*(b - 19)*(b - 2)/19
Factor -w**2/7 + 5*w/7.
-w*(w - 5)/7
Suppose 2*t**5/11 + 40*t**4/11 + 156*t**3/11 - 40*t**2 + 22*t = 0. What is t?
-11, 0, 1
Solve 3*o**5/7 + 612*o**4/7 + 30579*o**3/7 - 66102*o**2/7 - 122364*o/7 + 254616/7 = 0.
-103, -2, 2
Factor 2*v**3/9 - 34*v**2/3 - 12*v + 208/9.
2*(v - 52)*(v - 1)*(v + 2)/9
Suppose -3*l**2/4 - 865*l/2 + 577/4 = 0. What is l?
-577, 1/3
Determine m so that -2*m**2 - 136*m - 2312 = 0.
-34
Solve 2*a**3/11 - 40*a**2/11 + 106*a/11 - 68/11 = 0 for a.
1, 2, 17
Determine m, given that -2*m**2/5 - 184*m/5 + 186/5 = 0.
-93, 1
Factor -4*w**3 + 20*w**2 - 28*w + 12.
-4*(w - 3)*(w - 1)**2
Factor a**3 - 40*a**2 - 176*a.
a*(a - 44)*(a + 4)
What is x in -8*x**5/7 - 10*x**4/7 + 30*x**3/7 + 40*x**2/7 + 8*x/7 = 0?
-2, -1, -1/4, 0, 2
Factor -3*i**5 + 3096*i**4 - 1065024*i**3 + 122122752*i**2.
-3*i**2*(i - 344)**3
Solve 114*g**5/7 - 566*g**4/7 + 892*g**3/7 - 424*g**2/7 - 16*g/7 = 0.
-2/57, 0, 1, 2
Let -2*t**5/11 + 4*t**4/11 + 26*t**3/11 + 20*t**2/11 = 0. Calculate t.
-2, -1, 0, 5
Determine w so that -5*w**5 + 240*w**4 - 3670*w**3 + 15040*w**2 + 42075*w + 23120 = 0.
-1, 16, 17
Factor -15*z**2 - 1565*z - 4560.
-5*(z + 3)*(3*z + 304)
Let 784*s**5/5 + 168*s**4 + 57*s**3/5 + s**2/5 = 0. What is s?
-1, -1/28, 0
Determine b so that 2*b**2 - 122*b + 236 = 0.
2, 59
Solve 50*w**5 + 2170*w**4 + 25012*w**3 + 31796*w**2 + 9786*w + 882 = 0 for w.
-21, -1, -1/5
Determine l, given that 4*l**3/3 + 92*l**2/3 - 196*l/3 + 100/3 = 0.
-25, 1
Let i**3/2 - 11*i**2/2 + 13*i - 8 = 0. What is i?
1, 2, 8
Determine w so that -3*w**5/8 + 51*w**4/4 - 525*w**3/4 + 789*w**2/2 - 3555*w/8 + 675/4 = 0.
1, 2, 15
Find m, given that -12*m**3 - 1888*m**2 + 1264*m = 0.
-158, 0, 2/3
Factor -45*v**2 - 550*v - 120.
-5*(v + 12)*(9*v + 2)
Determine i, given that 3*i**5/2 - 9*i**4 + 9*i**3/2 + 15*i**2 = 0.
-1, 0, 2, 5
Find b, given that -3*b**2/7 + 891*b/7 + 1794/7 = 0.
-2, 299
Suppose -2*o**5/13 - 10*o**4/13 - 4*o**3/13 + 40*o**2/13 + 48*o/13 = 0. What is o?
-3, -2, 0, 2
Suppose 5*l**5/4 - 1290*l**4 - 1295*l**3 + 7735*l**2/2 + 25815*l/4 + 5165/2 = 0. What is l?
-1, 2