t y = 1331 - 1322. What is the smallest common multiple of y and 15/18 - 1/(-6)?
9
Let z(k) = 55*k - 2164. What is the lowest common multiple of 867 and z(40)?
10404
Suppose 26*q - 77 = 1. What is the common denominator of 4/(-14) + (-51)/(-252) and q/15*115/32*2?
48
Let g = 1879/117 + -190/13. What is the common denominator of g and (428/162 + -3)/(-19 - -18)?
81
Let u = 480347/24 + -20016. What is the common denominator of u and -83/168?
168
Let r(u) = -37*u - 611. Let o = 29 - 17. Let g = o + -6. Calculate the smallest common multiple of r(-17) and g.
18
Let t = -1330 - -918. Let b = 83765 + -333433/4. Let m = b + t. Find the common denominator of -57/16 and m.
16
What is the common denominator of -35/7906 and 2/(-4) - (3 - ((-552)/5)/(-8))?
39530
Suppose 10*m = 3*m - 3864. Let v be (-4)/(-20) + m/(-15) + -4. Suppose -95 = -p - 5*h - v, -5*p = 3*h - 222. Calculate the least common multiple of p and 9.
126
Let m(l) = -l + 3*l**2 + 5 - 3 - 1 + 0. Let a be m(2). Calculate the common denominator of 101/4 and (-5)/5*((-14)/a)/2.
44
Suppose 2*l + 13 + 3 = 4*g, 22 = 3*g - 4*l. Suppose -2*d + g*y + 36 = 0, 0*d - 3*d + 64 = 2*y. Find the common denominator of 11/7 and (-1 - d/(-28))*-25 + -3.
7
Let p = 29924 - 23555. Calculate the smallest common multiple of p and 45.
95535
Let x be (24/15)/((-6)/(-75)) - 3. Let w(k) = 4*k - 64. Let v be w(x). Let n = v + 0. What is the smallest common multiple of n and 12?
12
Let s(a) be the first derivative of a**4/4 + 38*a**3/3 - 81*a**2/2 - 19*a + 95. Suppose l - 6 + 0 = 0. What is the least common multiple of s(-40) and l?
42
Let k = 173 + -172. What is the smallest common multiple of 592 and 1 + (0 - 2) - (-24 + k)?
6512
Let s(q) = 21*q**2 + q. Suppose 5*r - 1 = 3*n - 5, 5*n - 3*r + 20 = 0. Let i be n + 4 - -3*(-6)/(-9). Calculate the lowest common multiple of 6 and s(i).
60
Let c = 492/11 - 1055/22. Let u = -23767/6 + 3952. Find the common denominator of c and u.
66
Let t be 9/3 - 1943742/312732. Let m = -3786275/14892 + 1017/4. Let y = t + m. Find the common denominator of 57/34 and y.
238
Let f(x) = -2*x + 28. Let i be f(11). Calculate the common denominator of 49/27 and ((-2168)/288 - -5)*i/(-4).
216
Let k(s) = s**3 - 6*s**2 - 9*s + 4. Let y be k(7). Let c = -11239/4 - -78775/28. Calculate the common denominator of (11/y)/(4/28) and c.
70
Let t = 53 + -44. Suppose -l - t = -4*l. Calculate the least common multiple of 70 and (-9)/27*(l*2)/(-1).
70
Suppose -3*b + d = -864, 576 = 2*b - 0*d - d. What is the common denominator of -4 - 6/(b/52) and 13/20?
60
What is the common denominator of ((-220)/(-86) + -4)/((-28)/(-7)) and -46/5?
430
Let n = -85481/24 - -3568. What is the common denominator of n and -93/416?
1248
Let t be (-1)/(-3) + ((-11830091)/4758 - -7). Let z = t - -2479. What is the common denominator of z and 89/22?
1342
Let a = 3 + 63. Let d be ((-12)/6)/((-3)/6). Suppose -d*w + v + 76 = -0*v, -12 = 3*v. Calculate the smallest common multiple of w and a.
198
Let o = 13114057/14 + -929380. Let i be (14/(-3))/(2/3147). Let c = i + o. What is the common denominator of c and 109/54?
378
Let n = -18114671/434 - -41739. Calculate the common denominator of 83/322 and n.
9982
Let s(m) = -16*m**2 + 6*m + 16. Let n be s(4). What is the common denominator of 21/8 and (-428)/n*-3*(-6)/(-20)?
120
Let i(f) = f**3 - 4*f**2 + 7*f - 15. Let m be i(5). Suppose -l = 0, 4*l - m = -0*t - 3*t. What is the least common multiple of 21 and t?
105
Calculate the common denominator of ((-7)/2160)/((-180)/(-1224)) and -161/4320.
21600
Let i be (2 - -3) + 3786/(1 + -4). Find the common denominator of 41/48 and 14/175*5 + i/(-270).
144
Let z = 5885 + -5815. What is the lowest common multiple of z and 40?
280
Let y(c) be the first derivative of -c**4/4 - 2*c**3 - 9*c**2/2 - 51*c - 81. Calculate the smallest common multiple of y(-6) and 10 - (-4)/2*1.
12
Suppose -12947 - 1678 = -75*v. What is the smallest common multiple of 5 and v?
195
Let c be (-6)/39 + (-196)/(-91). Suppose 8 = 2*l, v + 24 = 5*v + c*l. What is the lowest common multiple of v and 134?
268
Let y(c) = 6*c**2 - 18*c - 60. Let h be y(-6). Find the common denominator of 23/3 and (-3982)/h - 3/9*-1.
12
Let w be 848/(-265)*(-5)/2. Calculate the smallest common multiple of 3768/90 - w/(-60) and 11.
462
What is the smallest common multiple of 1140 and (68 + -68 - 2/(-3))*114/4?
1140
Let l = 294 - 238. Let v = 67 - 3. What is the least common multiple of v and l?
448
Suppose -6*x = -5*o - 3*x, -16 = 3*o - 5*x. Suppose h - 13 = 3*v, -2*h + 24 = -4*v - 0*v. What is the least common multiple of o and h?
30
Find the common denominator of 31/2415 and ((-187)/(-3519))/(56/63).
19320
Let k be (-25)/(-10)*(-6)/(-5). Suppose s = p - 25, -4*p = -0*p + k*s - 79. Calculate the smallest common multiple of 2/(-15)*(16 + -22)*20 and p.
176
Let l = 315005/4536 + -555/8. What is the common denominator of l and -13/252?
2268
Let a = -25 - -37. Let h(w) = -3*w - 2. Suppose 0*k + 6 = d + 3*k, 0 = -3*d + k - 22. What is the smallest common multiple of h(d) and a?
48
Suppose -5*g + 18 = 2*w, -g - g = -4. Suppose -2*k + 47 = 4*b + 5, -5*b + 85 = -w*k. What is the smallest common multiple of 24 and b?
312
Let h = -435 + 193. Let j = 246 + h. Calculate the lowest common multiple of j and 8.
8
Let o = 76 - 96. Calculate the common denominator of 5/(-30) + (-14)/4 and o/30 - (2 + 416/(-66)).
33
Let k(l) = -l**2 - 124*l - 1431. Calculate the lowest common multiple of k(-15) and 8.
408
What is the least common multiple of 2 + -13 + 16 + -2 + -1 and 16 + 2/(3/3)?
18
Let m = 240973167/268 - 899137. Let i = m - 24/67. Calculate the common denominator of i and 11/102.
204
Suppose -4*h = -8*x + 3*x - 22, 2*h + x = 4. Let a = 758 - 1796. Let s = -1035 - a. Calculate the least common multiple of s and h.
3
What is the common denominator of (80 + -75 - 3038/1040) + -2 and -127/940?
24440
Calculate the common denominator of ((-165)/36)/(-11)*((-274)/(-30) - 6) and -99/10.
180
Let a = -6915 - -1650. Let n = a - -105219/20. What is the common denominator of n and (595/(-560))/((-2)/(-24)*5)?
20
Let w = -143 + 147. What is the smallest common multiple of ((-4)/(-5))/(6/105) and (6 - w) + 4/3*3?
42
Suppose 36 = -91*k + 95*k. Suppose 47 = 5*f - 4*y - 10, -2*f = 3*y - k. Suppose 5*j - 16 + 1 = 0. What is the smallest common multiple of f and j?
9
Suppose 4*u - n = 2*u + 11, -5*n = -4*u + 31. Suppose 40 = -0*x + x - 5*g, u*g = 3*x - 76. Calculate the smallest common multiple of x and (4/5)/((-8)/(-20)).
20
Let x be (12/(-9))/((-2)/(-27)). Let n = -1900 - -5624/3. Calculate the common denominator of 1 - (-1 - (-39)/x) and n.
6
Find the common denominator of -79/2 and (144/330624)/(1/(-6802)) + 1 + 2.
1148
Let r = -25933/6 + 4337. What is the common denominator of r and (-663)/(-1035) - -2*1/10?
138
Let n = -147 + 86. What is the common denominator of ((-8)/(-96))/(3/(-24)) and 3/(-3) + n/16?
48
Let g = 68613/40 - 13789/8. Find the common denominator of (-14)/(-6)*6/34 and g.
170
Suppose 357*q - 54974 = 8008 + 2349. Calculate the least common multiple of q and 801.
48861
Let z = 34/33 + -937/1518. Let p = -561/148 + -17/37. Calculate the common denominator of p and z.
92
Suppose -86 = -4*i - 70. Suppose 7 = 3*l - g, 3*l - g - 11 = -l. Calculate the smallest common multiple of 12*(i - (-14)/(-4)) and l.
12
Let w = -10673 - -10681. Calculate the least common multiple of 3564 and w.
7128
Let o be 0 + -4 - 96562/(-3 - -5). Let b = o - -8787951/182. Calculate the common denominator of b and -79/18.
1638
Let x(o) = 4*o**2 + 28*o + 14. Let p = -176 + 169. What is the lowest common multiple of 16 and x(p)?
112
Calculate the common denominator of (-8267)/9408 + (-60)/135 + 13/9 and -23/10.
6720
Suppose 115*r - 1166 = 114*r. Suppose -r = -8*j - 1086. Calculate the smallest common multiple of 10 and j.
10
Calculate the common denominator of 59/(-27) - (20/24)/(-5) and (-10)/(-6) + (-895)/90.
54
What is the common denominator of 49/25 and (-171)/(-762) - (20 - 429/22)?
3175
Let y = 73145684/729 - 100337. What is the common denominator of 103/54 and y?
1458
Suppose -4*g + 5*g = 2. Let m be (-2 + (g - -1))*-20. What is the common denominator of -89/18 and 9/6*m/24?
36
Suppose -p = -42*p + 10625 - 4270. Calculate the least commo