/11 + 30*s**3 + 62*s**2 - 786*s/11 - 234/11 = 0. Calculate s.
-39, -3, -1/4, 1
Factor o**2 - 78*o + 621.
(o - 69)*(o - 9)
Factor -r**2/4 - 9*r/4 + 9.
-(r - 3)*(r + 12)/4
Solve 3*v**5/2 - 22*v**4 + 505*v**3/6 - 11*v**2/3 - 434*v/3 - 196/3 = 0 for v.
-2/3, 2, 7
Suppose 4*f**4 + 680*f**3 + 644*f**2 - 5456*f - 8112 = 0. What is f?
-169, -2, 3
Determine t so that 2*t**2 + 10*t + 8 = 0.
-4, -1
Suppose 2*u**3/11 + 268*u**2/11 + 790*u/11 + 524/11 = 0. Calculate u.
-131, -2, -1
Factor -6*t**3/5 + 3618*t**2/5 - 727218*t/5 + 48723606/5.
-6*(t - 201)**3/5
Find q such that -q**3/2 + 663*q**2/2 - 146523*q/2 + 10793861/2 = 0.
221
Factor -5*m**2 + 820*m - 33620.
-5*(m - 82)**2
Factor -50*f**3/7 + 496*f**2/7 - 1210*f/7 - 100/7.
-2*(f - 5)**2*(25*f + 2)/7
Factor -39*f**2 - 75*f - 36.
-3*(f + 1)*(13*f + 12)
Find z such that 5*z**2/2 - 365*z/2 - 4650 = 0.
-20, 93
Factor 2*d**4 + 30*d**3 + 92*d**2 - 192*d - 256.
2*(d - 2)*(d + 1)*(d + 8)**2
Find n, given that -6*n**5/13 + 46*n**4/13 - 118*n**3/13 + 138*n**2/13 - 76*n/13 + 16/13 = 0.
2/3, 1, 4
Determine n, given that 882*n**5 + 3192*n**4 + 4498*n**3 + 9244*n**2/3 + 3080*n/3 + 400/3 = 0.
-1, -2/3, -10/21
Determine n so that -n**3 + 19*n**2 + 274*n + 464 = 0.
-8, -2, 29
Solve -2*a**2 + 232*a - 456 = 0.
2, 114
Find g such that g**4/6 - g**3/2 - 50*g**2/3 - 16*g = 0.
-8, -1, 0, 12
Suppose 3*m**5 + 162*m**4 - 168*m**3 - 162*m**2 + 165*m = 0. Calculate m.
-55, -1, 0, 1
Solve 2*t**3/3 + 648*t**2 + 209952*t + 22674816 = 0.
-324
Factor -x**3/4 + 193*x**2/4 - 379*x/4 - 573/4.
-(x - 191)*(x - 3)*(x + 1)/4
Factor -a**3 + 1602*a**2 - 6396*a + 6392.
-(a - 1598)*(a - 2)**2
Suppose -2*r**5/15 - 2*r**4/15 + 4*r**3/5 + 28*r**2/15 + 22*r/15 + 2/5 = 0. What is r?
-1, 3
Solve -b**2/5 - 116*b + 1749/5 = 0 for b.
-583, 3
Factor 5*v**2 + 30*v - 560.
5*(v - 8)*(v + 14)
Determine v, given that -3*v**4 - 9*v**3 + 12*v**2 + 36*v = 0.
-3, -2, 0, 2
Suppose 2*x**2/9 - 680*x/9 + 57800/9 = 0. Calculate x.
170
Factor 2*c**4 - 100*c**3 + 1146*c**2 + 2600*c + 1352.
2*(c - 26)**2*(c + 1)**2
Factor -2*a**3/11 - 86*a**2/11 + 178*a/11 - 90/11.
-2*(a - 1)**2*(a + 45)/11
Factor -5*k**5 + 70*k**4 - 125*k**3 + 60*k**2.
-5*k**2*(k - 12)*(k - 1)**2
What is c in 156*c**5 + 579*c**4 + 663*c**3 + 276*c**2 + 36*c = 0?
-2, -1, -6/13, -1/4, 0
Find b, given that 28*b**4 - 64*b**3 - 12*b**2 + 64*b - 16 = 0.
-1, 2/7, 1, 2
Factor -5*v**4 - 95*v**3 - 435*v**2 - 605*v - 260.
-5*(v + 1)**2*(v + 4)*(v + 13)
Factor -m**4/2 - 15*m**3/2 + 8*m**2.
-m**2*(m - 1)*(m + 16)/2
Let -80*o**5 - 852*o**4 + 832*o**3 + 6084*o**2 + 3568*o + 528 = 0. Calculate o.
-11, -2, -2/5, -1/4, 3
Let -z**5 + 3*z**4 + 12*z**3 - 20*z**2 - 48*z = 0. What is z?
-2, 0, 3, 4
Find z, given that -224*z**3 - 1776*z**2 + 894*z/7 - 16/7 = 0.
-8, 1/28
Solve -b**3/7 - 20*b**2/7 + 31*b - 28 = 0 for b.
-28, 1, 7
Suppose t**2 - 70*t + 496 = 0. Calculate t.
8, 62
Factor 3*p**2 - 72*p + 285.
3*(p - 19)*(p - 5)
Factor 4*g**5/9 + 8*g**4/9 - 20*g**3/3 - 16*g**2.
4*g**2*(g - 4)*(g + 3)**2/9
Factor 4*o**5 - 32*o**4 + 52*o**3 - 24*o**2.
4*o**2*(o - 6)*(o - 1)**2
Suppose 2*l**4 + 56*l**3 + 470*l**2 + 912*l - 1440 = 0. What is l?
-12, -5, 1
Solve -2*z**3/5 - 342*z**2/5 - 1326*z/5 + 334 = 0 for z.
-167, -5, 1
Determine j, given that 3*j**3 - 15*j**2 - 18*j = 0.
-1, 0, 6
Determine v, given that 2*v**5/3 - 82*v**4 - 4*v**3/3 + 164*v**2 + 2*v/3 - 82 = 0.
-1, 1, 123
Factor 3*s**5 + 42*s**4 + 144*s**3 - 42*s**2 - 147*s.
3*s*(s - 1)*(s + 1)*(s + 7)**2
Suppose -4*d**4 - 88*d**3 - 628*d**2 - 1584*d - 1296 = 0. Calculate d.
-9, -2
Find u, given that -u**3 + 24*u**2 + u - 24 = 0.
-1, 1, 24
Suppose s**4 + 5*s**3 - s**2 - 5*s = 0. What is s?
-5, -1, 0, 1
Suppose -2*z**2 + 196*z - 4802 = 0. Calculate z.
49
Solve -80*z**3 - 7000*z**2 - 17125*z - 10625 = 0.
-85, -5/4
Let 2*q**2/7 + 380*q/7 + 18050/7 = 0. Calculate q.
-95
Find w, given that -w**3 - 118*w**2 - 233*w - 116 = 0.
-116, -1
What is k in -3*k**5 - 51*k**4 + 21*k**3 + 375*k**2 + 306*k = 0?
-17, -2, -1, 0, 3
Factor -2*m**2 - 54*m + 3080.
-2*(m - 28)*(m + 55)
Let -8132*g**3 + 16272*g**2 - 8148*g + 8 = 0. Calculate g.
2/2033, 1
Suppose 3*x**2 - 12 = 0. Calculate x.
-2, 2
Determine b, given that 2*b**2/11 - 124*b/11 + 1922/11 = 0.
31
Factor 25*u**5/3 + 5*u**4/3 - 16*u**3/3 + 4*u**2/3.
u**2*(u + 1)*(5*u - 2)**2/3
Let 2*y**4/23 - 250*y**3/23 + 2142*y**2/23 - 6318*y/23 + 6264/23 = 0. What is y?
3, 116
Solve -3*a**2/7 + 1467*a/7 = 0 for a.
0, 489
Factor -l**4/6 + 23*l**3/6 - 47*l**2/2 + 77*l/6 + 121/3.
-(l - 11)**2*(l - 2)*(l + 1)/6
Find h such that h**2 - 108*h = 0.
0, 108
Suppose 5*m**3 + 2065*m**2 = 0. Calculate m.
-413, 0
Factor -3*o**5/8 - 69*o**4/8 + 255*o**3/8 + 9537*o**2/8.
-3*o**2*(o - 11)*(o + 17)**2/8
Factor p**2/4 - 268*p + 71824.
(p - 536)**2/4
Factor -3*z**2/2 + 9*z.
-3*z*(z - 6)/2
Suppose -2*y**3/7 - 146*y**2/7 - 2262*y/7 + 15210/7 = 0. What is y?
-39, 5
Let -r**3/2 + 2871*r**2/2 - 2747547*r/2 + 876467493/2 = 0. What is r?
957
Solve w**4/2 + 13*w**3 + 92*w**2 + 48*w - 576 = 0 for w.
-12, -4, 2
Find w, given that 2*w**2/5 - 92*w/5 + 896/5 = 0.
14, 32
Factor 5*d**3 - 80*d**2 + 125*d + 210.
5*(d - 14)*(d - 3)*(d + 1)
Determine g, given that 2*g**5/5 - 28*g**4/5 + 106*g**3/5 + 16*g**2/5 - 408*g/5 - 288/5 = 0.
-1, 4, 6
Factor -5*b**4 - 90*b**3 - 75*b**2 + 170*b.
-5*b*(b - 1)*(b + 2)*(b + 17)
Factor -2*y**2 + 2*y.
-2*y*(y - 1)
Let -135*v**5 + 1047*v**4/2 - 336*v**3 - 123*v**2/2 + 9*v = 0. What is v?
-2/9, 0, 1/10, 1, 3
Factor 3*q**3/2 + 15*q**2/2 - 12*q - 18.
3*(q - 2)*(q + 1)*(q + 6)/2
Factor 2*s**2 + 862*s - 1732.
2*(s - 2)*(s + 433)
Factor n**3/2 + 5*n**2/2 - 16*n + 18.
(n - 2)**2*(n + 9)/2
Factor r**5 - 4*r**4 - 3*r**3 + 18*r**2.
r**2*(r - 3)**2*(r + 2)
Find q, given that -q**3 + 170*q**2 + 2197*q - 2366 = 0.
-13, 1, 182
Solve 2*h**2/5 - 6022*h/5 + 1204 = 0 for h.
1, 3010
Suppose -n**2/2 + 5*n - 9/2 = 0. What is n?
1, 9
Factor 16*i**4 + 56*i**3 - 47*i**2 - 51*i + 36.
(i + 1)*(i + 4)*(4*i - 3)**2
Determine z so that z**4/2 - 4*z**3 + 9*z**2 - 8*z + 5/2 = 0.
1, 5
Factor -25*o**3 + 65*o**2 + 40*o - 140.
-5*(o - 2)**2*(5*o + 7)
Find n such that 3*n**4/8 - 477*n**3/8 + 6435*n**2/2 - 61854*n + 158184 = 0.
3, 52
Determine q, given that 3*q**4 + 78*q**3 - 168*q**2 = 0.
-28, 0, 2
Find n, given that n**2/3 + 52*n + 2028 = 0.
-78
Solve o**3/3 + 128*o**2/3 - 259*o/3 + 130/3 = 0.
-130, 1
Factor 4*i**4 + 1796*i**3 - 4*i**2 - 1796*i.
4*i*(i - 1)*(i + 1)*(i + 449)
Let 7614*n**4/5 - 12168*n**3/5 - 5888*n**2/5 - 96*n + 32/5 = 0. What is n?
-2/9, 2/47, 2
Factor -4*h**3/7 - 164*h**2/7 - 572*h/7 + 740/7.
-4*(h - 1)*(h + 5)*(h + 37)/7
Factor -r**2/3 + 10*r/3 - 25/3.
-(r - 5)**2/3
Find z, given that 7*z**5/8 - 3099*z**4/8 - 907*z**3/8 + 9283*z**2/8 + 1107*z + 443/2 = 0.
-1, -2/7, 2, 443
Suppose -2*d**3 - 136*d**2 - 134*d = 0. What is d?
-67, -1, 0
Factor 3*k**3 - 3864*k**2.
3*k**2*(k - 1288)
Factor -13778*x**2 + 332*x - 2.
-2*(83*x - 1)**2
Factor o**2/5 - 36*o/5 + 68/5.
(o - 34)*(o - 2)/5
Suppose -20*m**5 - 195*m**4 - 110*m**3 + 240*m**2 + 130*m - 45 = 0. What is m?
-9, -1, 1/4, 1
Factor 5*c**3 - 170*c**2 + 1075*c - 910.
5*(c - 26)*(c - 7)*(c - 1)
Factor -2*x**3/3 - 14*x**2/3 + 16*x/3.
-2*x*(x - 1)*(x + 8)/3
Determine d, given that 2*d**2/5 - 2*d - 28/5 = 0.
-2, 7
Factor -4*d**2 - 32*d - 60.
-4*(d + 3)*(d + 5)
Let n**5/6 + 17*n**4 + 2489*n**3/6 - 3070*n**2/3 - 3224*n - 5408/3 = 0. Calculate n.
-52, -1, 4
Factor -2*l**3 + 1324*l**2 - 2642*l + 1320.
-2*(l - 660)*(l - 1)**2
Factor -u**3/2 + 145*u**2/2 - 143*u.
-u*(u - 143)*(u - 2)/2
What is f in f**4 + 9*f**3 + 11*f**2 - 81*f - 180 = 0?
-5, -4, -3, 3
Find l such that 3*l**4/4 + 55*l**3/2 + 261*l**2 + 162*l = 0.
-18, -2/3, 0
What is c in -4*c**3 + 8*c**2 - 4*c = 0?
0, 1
Find r such that -r**4 - 13*r**3 - 44*r**2 - 32*r = 0.
-8, -4, -1, 0
Factor 9*x**4 + 722*x**3 + 13012*x**2 - 60648*x - 14112.
(x - 4)*(x + 42)**2*(9*x + 2)
Find n such that 2*n**2 + 446*n + 444 = 0.
-222, -1
Factor -2*h**3/9 + 1684*h**2/9 - 6712*h/9 + 6704/9.
-2*(h - 838)*(h - 2)**2/9
Solve -2*h**2/9 - 20*h/3 + 62/9 = 0 for h.
-31, 1
Factor -8*w**2 + 1326*w - 990.
-2*(w - 165)*(4*w - 3)
Factor -x**4 + 34*x**3 - 27*x**2 - 198*x.
-x*(x - 33)*(x - 3)*(x + 2)
Factor -o**3/6 - 17*o**2 - 578*o - 19652/3.
-(o + 34)**3/6
Factor 5*c**5 - 15*c**4 - 5*c**3 + 15*c**2.
5*c**2*(c - 3)*(c - 1)*(c + 1