. Calculate the common denominator of m and -89/18.
252
Let b be 1 - (3 + 1 + -12). Calculate the common denominator of (-7)/756*177 + 6/b and (-1)/(-42)*570/(-4).
252
Calculate the common denominator of (-222)/(-35) - ((-44)/55 - -1) and -81/844.
5908
Find the common denominator of ((-42)/(-28))/(9/(-30)) + 302/100 and 36/715.
7150
Suppose -218 - 256 + 404 = -7*d. Calculate the lowest common multiple of d and 414.
2070
Let u = -40197/299 + 1720/13. Let x = u - 209/161. Calculate the common denominator of x and -67/9.
63
Let d = 11931652024/6159 + -1937271. Calculate the common denominator of 109/6 and d.
12318
Let k(h) = h**2 - 18*h - 61. Suppose -626*n - 768 = -629*n. What is the smallest common multiple of k(21) and n?
256
Let l = -572/567 - -35743/45360. Calculate the common denominator of l and (-2)/(-6) + 205/(-50).
240
Let d = -1014 - -98. Let s = -381 - -382. Calculate the common denominator of (6 - s) + d/128 and -37/14.
224
Suppose 2*d = 0, -u + 5*u - 12 = 4*d. Calculate the smallest common multiple of 78 and ((-11)/22)/(u/(-216)).
468
Let z(x) be the third derivative of -1/10*x**6 - 13*x**2 + 0*x + 0*x**5 + 0 - 1/24*x**4 - 1/6*x**3. Calculate the smallest common multiple of 46 and z(-1).
276
Let u = 3970/21 - 1311/7. Find the common denominator of u and (-4)/((-864)/(-606)) + 20/15.
252
Let h = 7 + -5. Suppose 0 = -3*m - h*m + 50. Suppose -397*l - 18 = -398*l. Calculate the smallest common multiple of m and l.
90
Find the common denominator of (-3)/(-7)*227409/(-45864) and 90/8 + (-3)/(-9).
24
Let w be ((-31486930149)/(-88849))/(3*1). Let c = w + -118129. Let q = -200810/42493 + c. Calculate the common denominator of -1 and q.
11
Let q = 2960081/8840608 + -1/157868. Calculate the common denominator of 73/1120 and q.
1120
Let k(g) = 21*g + 164. Suppose -12 = -4*c - 3*h - 31, 3*c = -5*h - 6. What is the least common multiple of 12 and k(c)?
204
Find the common denominator of 3/20*(-20544)/288 and (-12)/200*218/6.
50
Suppose -2*p + 18*i = 17*i - 120, 0 = -3*p + 5*i + 159. Calculate the smallest common multiple of p and 42.
126
What is the least common multiple of (696/145)/(-4 - (-46)/10) and 316?
632
Suppose -338*z + 2*z + 10929 + 3222 = -10041. Let v = 38 - 14. What is the least common multiple of v and z?
72
Let f = 186 + -162. Suppose 23*w + 20 = f*w. What is the lowest common multiple of 40 and w?
40
Let c = 2500 + -15019/6. Calculate the common denominator of -7/2241 and c.
4482
Let u(w) = 31*w + 12 - 35*w + 20. Let c be u(0). Let x = -14 + c. Calculate the smallest common multiple of x and 39.
234
Suppose 10 = 6*x + 16. Suppose 0*m + m = -2*u + 8, -12 = 3*m. What is the smallest common multiple of (12/x)/(18/(-60)) and u?
120
Find the common denominator of -25/2 and 36*44/209880*470/(-424).
5618
Let n(x) = -472*x - 10802. What is the least common multiple of n(-23) and 300?
2700
Let n(o) = -6*o + 214. Calculate the smallest common multiple of n(35) and 2/(-10) + 1053/65.
16
Let s(o) = 3*o**2 + 6*o - 753. What is the least common multiple of s(34) and 12?
11676
Let a = 4474 + -4434. Calculate the least common multiple of 3520 and a.
3520
Let f = 13921/215574 - 6/1891. Find the common denominator of f and 2322/7826*(-42)/(-4).
1482
Let v(m) = -375*m**2 - m + 1. Let h(k) = -k**2 + 8*k + 1. Let y be h(8). Let i be v(y). Let p = i - -14627/39. Calculate the common denominator of -58/15 and p.
195
Suppose 84*d - 38026 + 8920 = -114*d. What is the smallest common multiple of d and 1218?
8526
Let x = 12263543/207 - 59244. Find the common denominator of x and 16/437.
3933
Let b(a) = 5*a**2 + 5*a - 2. Let x(r) = -r**2 - 10*r - 16. Let y be (-1)/4 - 115/20. Calculate the least common multiple of b(3) and x(y).
232
Suppose 6*d = 58 - 28, -3*d = 5*t - 5795. Calculate the least common multiple of t and 3179.
12716
What is the smallest common multiple of 4750 and (-2730)/26*20/(-7)?
28500
Let j(x) = -2*x**2 + 13*x - 16. Let c be j(5). What is the common denominator of c/(90/(-273)) + (-2)/(-6) and 41/25?
150
Suppose z - 32132 = 3*s, -s + z = 3*z + 10699. Let x = s + 224845/21. What is the common denominator of x and -73/72?
504
Let i = 42 - 25. What is the common denominator of i and 51/6*(6 + -5 - 3)?
1
Let t = -70 + 76. Let a = 49489/4992 - -5/1664. Find the common denominator of a and 4/t*(3 - 762/136).
204
Suppose -53*n - 2*i = -50*n - 3120, -i + 3120 = 3*n. Calculate the least common multiple of n and 16.
1040
Let p be 18/(-63) - (2 + (-8039643)/3517353). Let h = p - 8318791/4689804. Calculate the common denominator of h and 103/154.
924
Suppose -177*q = -322 - 6404. Let j(v) = -3*v**3 - 2*v**2 - v. Let r be j(-2). Calculate the least common multiple of r/(-7)*(-6 + -1) and q.
342
Let l(r) = -29*r - 30. Let q be l(-10). Suppose 0 = 5*a - 18*a + q. Calculate the smallest common multiple of 5 and a.
20
Let b = -862 + 1018. Calculate the least common multiple of 39 and b.
156
Suppose -93*w - 36 = -96*w. Suppose -62 = w*u - 2. What is the common denominator of 6/(-4)*u/((-40)/(-18)) and -65/2?
8
Let a = -304 + 378. Let b = 857/11 - a. What is the common denominator of b and 43/8?
88
Suppose -26*f + 30*f = 36. Suppose -b = -2*b - f. Calculate the common denominator of 8/(-14)*b/18 and 62/9.
63
Let s(l) = 65*l - 370. What is the smallest common multiple of 1040 and s(6)?
1040
Let s(v) = v**3 - 11*v + 14 + 0*v**2 + 3*v**2 + 8*v**2 - 14*v**2. Calculate the least common multiple of 30 and s(5).
90
Let r(l) = -l**3 + 15*l**2 + 16*l + 1. Let g be r(16). Suppose 5*p - 5*j = 65, j - g = -3. What is the common denominator of 3/p*(-140)/(-18) and -139/6?
66
Let v(d) = 1922*d + 3984. Calculate the lowest common multiple of 49 and v(-2).
980
Calculate the common denominator of 289161/1529766 + 2/(-9) and -93/568.
3976
Let z be (0 - (-21)/35) + 279/(-265). Let j = z - -361/212. What is the common denominator of j and 85/2?
4
Suppose -5*h - 5 = -0, -m = -4*h - 3. Let g be (-2 - (m - 0)) + 2. Calculate the common denominator of -20/57 and (g/9)/(5/290 - 0).
171
Suppose 994*s + 66 = g + 989*s, 6*s = -5*g + 51. Suppose 3*y = -2*v + 4*y + 125, -1 = -y. Calculate the lowest common multiple of g and v.
63
Let d = 36903 + -36899. What is the least common multiple of 5604 and d?
5604
Let j be (-1 + 12)/(1/(-1) - -2). Suppose -21*l + j = -10*l. Calculate the smallest common multiple of l and 47.
47
Suppose -12*q = -14*q + 220. Suppose 0 = -5*j - 5*a - 0*a + q, 3*j - 71 = 2*a. Let o = j + -22. What is the smallest common multiple of 8 and o?
8
Let k be 2/(-64)*(-9970)/(-15). Let g = k + 207/16. Calculate the common denominator of g and 235/(-4)*(-22)/385.
42
Let n = -310 - -415. Suppose -5*a - j = -30, -2*a + 16 - 4 = 2*j. Calculate the lowest common multiple of a and n.
210
Let q = 13918 - 31364. Let c = q + 2302937/132. What is the common denominator of c and -133/36?
396
Let s = 2 - 1. Calculate the smallest common multiple of s and (-21790)/(-50) + (558/155)/(-2).
434
Suppose -55 = -40*o + 173 - 28. Suppose 0 + 6 = 3*h. What is the least common multiple of h and o?
10
Let k = 495431/29041320 - -1/64680. What is the common denominator of 76/27 and k?
12123
Let y = 308504 - 336269413/1090. Calculate the common denominator of y and 32/763.
7630
Suppose -2*v - 3*o = -7505, 4*v + 2*o - 23508 = -8478. What is the lowest common multiple of v and 32?
7520
Let w(d) = 11*d - 15. Let y be w(5). Let j = -60 + 40. What is the common denominator of (-5)/y*j*126/(-10) and -28/5?
10
Let d = 223 - 236. Let o(k) = -k**2 - 18*k - 45. Let s = -15 - -35. What is the lowest common multiple of s and o(d)?
20
Let y = 136/899 + -101439/165416. Calculate the common denominator of y and 73/552.
552
Find the common denominator of 24/(-228) - ((-3518)/(-1596) - -1) and 113/288.
2016
Let q = 313850 - 313842. Suppose -u + 2*y = u - 22, 5*y = -2*u + 57. What is the least common multiple of q and u?
16
Let f be ((-329)/(-63))/((-6)/3735). Let b = -7735/2 - f. Let d = b - -635. What is the common denominator of 71/3 and d?
3
Let z be (6 + -4)*(-2)/((-72)/(-17691)). Let p = -990 - z. Find the common denominator of p and -13/87.
174
Let k = -1550 - -1770. Calculate the lowest common multiple of 140 and k.
1540
Calculate the smallest common multiple of 10218 and ((-98)/(-42))/(7/24).
40872
Let 