65
Let d be 570/40 - 2/(-2). Let l = d - 613/44. What is the common denominator of l and 19/22?
22
Let s = 87873/14 + -6274. Find the common denominator of s and -47/562.
3934
Let x = 4 - -16. Let y = x - 10. Suppose 5*n + m - 41 = 0, 0 = n + 7*m - 5*m - 10. What is the least common multiple of n and y?
40
Calculate the lowest common multiple of 16 and (-2835)/(-135) - (1 + 0)*1.
80
Suppose -2*w + 223 = -2*g - 15, 0 = -5*g - 15. What is the least common multiple of 2 and w?
116
Let f = -257/54 + 70/27. Let d = -5 + 9. Calculate the common denominator of (-9)/d*44/10 and f.
30
Let q = 10 - 6. Suppose -q*t + 32 + 0 = 0. Suppose 3*z - 4 = 5*x + 4, -z + 5*x = 4. Calculate the least common multiple of z and t.
24
What is the common denominator of -77/30 and 84/(-63)*32/(-2)?
30
Let c be 338/7 - 12/42. Let s = 66387/2414 + -1/1207. Find the common denominator of (3/(-20))/(c/10) and s.
32
Let r = -9244061/134481 + 1581/23. Let b = -368357/11694 - r. Calculate the common denominator of b and 10/11.
22
Suppose 0 = 3*g + 2*a - 20, -2*g + 0*g + 40 = -4*a. Suppose -g*t + 2 = -11*t. What is the common denominator of (39/t)/(33/7) and 85/14?
154
Let n be (1 - (-2 + 7)) + 1. Calculate the common denominator of (4 - (-27)/10) + n and 91/16.
80
Let h = 32 + -27. Suppose 2*l + 4*k - 42 = 0, h*l + 0*k - 147 = 4*k. Calculate the lowest common multiple of l and 30.
270
Suppose p + 3*b - 12 = -3, -2*p + 5*b + 29 = 0. What is the smallest common multiple of 18 and p?
36
Let f = 36273/20 - 1813. Find the common denominator of f and 131/60.
60
Suppose -2 = -h - 0*h. Suppose 6*x = h*x + 40. Calculate the least common multiple of 7 + -4*(-6)/(-12) and x.
10
Let g = 611 + -533. What is the smallest common multiple of 130 and g?
390
Let y(x) = -x**3 + 7*x**2 - 5*x - 4. Let p = -10 + 16. Let c be y(p). Suppose 6 = m + c. What is the smallest common multiple of m and 6?
12
What is the common denominator of 79/10 and (-4 - -2 - 2) + (-15)/33?
110
Let j = 1623/50 + -172/5. What is the common denominator of -62/15 and j?
150
Let g(c) = c**3 + 3*c**2 - 7*c - 3. Let r be g(-6). Find the common denominator of ((-5)/10)/(r/33 + 2) and (-2)/(-6)*(-218)/(-4).
6
Suppose -2*w + 0*w = -4*u + 50, -13 = -2*u + 5*w. Suppose 2*k - u = 30. What is the least common multiple of k and 4?
44
Let y = 391/10 + -174/5. Suppose 1 = s - 3. Calculate the common denominator of y and s/6 + 2422/(-672).
80
Suppose 5*n + 3 = r - 0*r, 5*n - 3*r - 1 = 0. Let p be (n + 3)/(2/(-8)). Calculate the common denominator of 9/10 and (1/6)/(p/74).
120
Suppose -3*v + 365 = 2*t, -950 = 3*t - 8*t + 5*v. What is the least common multiple of t and 102?
1122
Let r = 3 - -9. Suppose 0 = 4*d + 3*v - 228, 3*d + 0*v - 154 = 2*v. Suppose -2*w + d = w. Calculate the lowest common multiple of w and r.
36
Suppose 0 = -2*l - 0*l + 2*m - 234, 0 = -2*m + 10. Find the common denominator of 6/21 + (-66)/l and -21/8.
8
Let u = 8317/4 - 2069. What is the common denominator of u and -15/1133?
4532
Let w(l) = 2*l**2 - 2*l - 1. Suppose 4*c = 4, 28*r - 26*r = 5*c + 13. What is the lowest common multiple of r and w(-2)?
99
Suppose -3*j = -2*y + 3, -j = 2*y - 6 - 1. Suppose y = 3*i - 42. What is the least common multiple of i and 48?
240
Suppose -f - 10 = -4*n, 3*f - 7 - 19 = -2*n. Calculate the smallest common multiple of f and 432.
432
Let i be (2*-1)/(10/(-20)). Suppose -4*z + d = -2*z - 5, i*d + 13 = z. Calculate the lowest common multiple of z and 13.
13
Suppose -2*f + 7*f + 9 = i, 4*f = -2*i + 4. Suppose -m + 5*n = 6, i*n + 0*n = 2*m. Calculate the least common multiple of 8 and m.
8
Let w = -4345/2 - -2190. What is the common denominator of 46/61 and w?
122
Calculate the common denominator of (568/(-100))/((-1456)/140) and 64/117.
1170
Let s(b) = 35*b**3 + 7*b**2 - 9*b - 7. Let j be s(-8). Let n = 36849 + j. Let d = n - 427643/22. What is the common denominator of -69/14 and d?
154
Let j = 125 - 47. Find the common denominator of (1 - 33/j)*28/12 and -85/14.
182
Let n(g) = -g**3 + 39*g**2 - 75*g + 43. What is the lowest common multiple of 60 and n(37)?
60
Calculate the common denominator of 43/99 and (-540)/(-550)*(-1 - 57/(-42)).
693
Let q = -3/247 - -1894/13585. What is the common denominator of q and 29/33?
165
Let o = -364/471 - -79775/48984. Find the common denominator of o and 31/39.
312
Let w(a) = -a + 14. Calculate the least common multiple of 204/10 - (-22)/(-55) and w(0).
140
Let u(l) = -12*l + 166. What is the lowest common multiple of u(12) and 60?
660
Suppose 27*d = -45*d + 150912. Calculate the smallest common multiple of d and 12.
6288
Let l = 1/10 - -383/70. What is the common denominator of (-11)/(88/(-80)) - 156/(-16) and l?
28
Let i be (-6)/(-2)*(270 + -11). Suppose 0 = -5*d - i + 147. Calculate the common denominator of 39/8*196/d and 5/2.
12
Suppose -2*h - h + 2*g + 16 = 0, 5*h - 14 = -3*g. Let n = 35 - 9. Let w = n - h. Calculate the smallest common multiple of w and 10.
110
Let p = -3590 - -3570. What is the common denominator of (46/16)/((-3)/(-4)) and p?
6
Let y = -34327/8 - -4299. Let f be (-2)/(-4) + -4 + (-28018)/4. Let d = 126109/18 + f. Find the common denominator of y and d.
72
Let n = 1689817/4662 + -20/259. Let k = -359 + n. Calculate the common denominator of k and -3/22.
198
Let x be 10 - 0/(3 + 1). What is the common denominator of -81/8 and 3997/(-420) - 4/x?
24
Find the common denominator of 61/21 and 1*(-22700)/2868 + 8.
5019
Suppose 57 = 1774*t - 1773*t. What is the least common multiple of t and 190?
570
Let n(s) = 0*s**2 + 10 + 12*s + s + s**2. Let d be n(-10). Find the common denominator of (30/d)/((-3)/(-11)) and -61/10.
10
Let n = -1 + 5. Let b = 13 - 11. What is the smallest common multiple of (36/8 + (-3)/1)*b and n?
12
Let p(k) = 11*k - 26. Calculate the least common multiple of p(7) and 39.
663
Let f = 508/3 - 2257/12. Find the common denominator of -11/15 and f.
60
Let q be -1643*((-8)/18)/(-4). Let o = q + 182. Find the common denominator of 43/28 and o.
252
Let q = -1446569/4 - -2147645/6. Let o = q - -3709. What is the common denominator of -61/22 and o?
132
Calculate the common denominator of 43/54 and -9 + 20 + (-20262)/1836.
918
Suppose 4*w = 6*w + 5612. Let v = 339437/10 - 31130. Let n = w + v. Find the common denominator of n and 30.
10
Let q(a) be the first derivative of a**2/2 + 12*a + 26. What is the least common multiple of 12 and q(6)?
36
Let p = -10713/5 + 2131. Let d = 442393/30 - 14743. Let w = 83/6 - d. Find the common denominator of p and w.
5
Let x = 43 + -30. What is the lowest common multiple of x and 91?
91
Find the common denominator of 83/6 and 2 - ((-21)/(-10))/((-54)/(-375)).
12
Suppose 145 = -23*w + 22*w. Calculate the common denominator of 76/3 and w/5*(-2)/(-6).
3
Let c(i) = -i**3 - 8*i**2 + 2*i + 26. Let y(d) = -6*d**2 + 5*d + 3. Let f be y(-1). Suppose -a + 14 = 6. Calculate the lowest common multiple of a and c(f).
40
Let x = 2196 + -48207/22. What is the common denominator of 146*((-142)/72 + 2) and x?
198
Let n = 1035 + -981. What is the lowest common multiple of 186 and n?
1674
Find the common denominator of (-237)/(-50)*(-15)/(-18) and -1*4/(-12) - (-135)/(-10).
60
Let p be (-104727)/(-27) + 4/18. Let m = 42722/11 - p. What is the common denominator of 639/(-27)*(-1)/(-2) and m?
66
Suppose 3*m - 15 - 9 = 0. Calculate the lowest common multiple of 2/(-9*2/(-81)) and m.
72
Let d(c) = -3*c**3 - 9*c**2 - 9*c - 4. Calculate the least common multiple of 34 and d(-6).
374
Suppose 7*v + 36 = 5*v. What is the common denominator of 3/v + (-22)/9 and -131/60?
180
Let b = 2 + 7. Let r(t) = -2*t**3 + 16*t**2 + 19*t + 3. What is the lowest common multiple of b and r(9)?
36
Calculate the least common multiple of (5/3)/((-125)/(-75)) and 6.
6
Let c(i) = -2*i - 6. Let p be c(-19). Let w = p + -26. Calculate the least common multiple of 4 and w.
12
Let a = 3 + 18. Suppose -a*f + 37380 = -25*f. Let u = -205673/22 - f. What is the common denominator of 45/14 and u?
154
Let h = -6901/5 + 1381. Calculate the common denominator of 86/375 and h.
375
Calculate the common denominator of -101/14 and (-3)/16*(-3)/27*-6.
56
Let s = 92531/25224 + 42/1051. What is the common denominator of s and -13/12?
24
What is the least common multiple of 25 and (-120)/12*33/(-6)?
275
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