r of 37/33 and ((-994)/35)/(k/5).
99
Let z(m) = -m**3 - 5*m**2 - 37. Let i be z(-6). Calculate the common denominator of (-18)/16*2*i/(-5) and (-13)/(-10) + 4/(-8)*-2.
20
Let h = -140 + 136. Calculate the common denominator of (-22*(-8)/(-576))/(2/h) and -113/18.
18
Suppose -49*z + 23010 = 29*z + 52*z. What is the least common multiple of 8 and z?
1416
Let r(q) = -3*q**3 + 3*q - 3. Let f be r(-3). Let j = -1557 + 1492. Let g = j + f. Calculate the lowest common multiple of 5 and g.
20
Find the common denominator of 344/(-420) - (-165)/(-396)*4/10 and -167/90.
630
Let f(k) = -k**3 - 5*k**2 - 4*k - 2. Let u be f(-4). Find the common denominator of (4/(128/39))/(22*(-36)/(-1056)) and u/10 - 1135/75.
24
Suppose 2*n = 4*c - 752, -4*c - 4*n + 617 = -159. Let u be c/35 - 6/14. What is the common denominator of -107/18 and (162/(-120))/((-6)/u)?
72
Suppose -36*d = -104 - 125 - 23. Calculate the least common multiple of d and 2.
14
Suppose -285 = -a - 15*d + 17*d, -a = -5*d - 294. What is the lowest common multiple of 81 and a?
2511
Suppose -1228*z - 258 = -1271*z. Calculate the smallest common multiple of 1521 and z.
3042
Let u = -10468 + 10476. What is the lowest common multiple of (-6)/(-33) - 126/(-33) and u?
8
Suppose 2709*a - 2708*a - 1100 = 0. Find the common denominator of a/(-1536) + (-1 - -3 - 1) and -73/24.
384
Let c(q) = q**3 + 5*q**2 + 8*q + 4. Let z be c(-3). What is the lowest common multiple of 18 and (z + 10/7)/(9/(-252))?
144
Suppose 27 = 3*g - 15. Let f(m) = 13*m - 4. Let b(t) = -2*t + 86. Let n be b(42). What is the least common multiple of f(n) and g?
154
Calculate the common denominator of -61/464 and (-538)/2640 - (3/(-180))/((-17)/68).
25520
Let q(w) = w**3 - 6*w**2 + 5*w + 1. Let r be q(5). Let f = -943 - -945. Calculate the smallest common multiple of f and -2 + (15 - (r - 2)).
14
Suppose 256 - 838 = 6*j. What is the common denominator of 3 + (-4)/(-48)*j and 53/4?
12
Calculate the least common multiple of 3339 and (18 - 21)*((-14)/28)/((-2)/(-212)).
3339
Let n(d) = -7*d. Let u be (676/(-12))/(2/54). Let z = 1533 + u. What is the least common multiple of z and n(-4)?
84
Let a = -1894657/7336 + 20511/262. Let b = a - -180. Find the common denominator of b and -97/32.
224
Calculate the common denominator of (-2)/102*-6 + 8106/3060 and -61/180.
180
Let b(t) = t**3 - t**2 + 2. Let m(n) = 198*n + 203. What is the least common multiple of b(0) and m(-1)?
10
Let n = -21913 + 21928. Let q = 113 + -46. Let k = q - 40. Calculate the least common multiple of n and k.
135
Let x = 249 - 102. Suppose 2*q - x = -19*y + 16*y, -4*y = 4*q - 284. Calculate the smallest common multiple of 30 and q.
330
Let y = -8836 - -309233/35. Calculate the common denominator of y and 4 + ((-1100)/420 - (1 - 1)).
105
What is the common denominator of 40549/3910 + -12 + 1 and -101/40?
680
Let r = -84507 - -13183139/156. Calculate the common denominator of r and -125/1638.
3276
Let w = -10323/4 - -2642. Let z = w - 2191/36. Calculate the common denominator of z and 61/18.
18
Let l(k) = k**3 + 5*k**2 + k. What is the smallest common multiple of l(-4) and (-1055 + 1091)/((-2)/(-2))?
36
Suppose 0*l - 4*l + 464 = 0. Suppose -9*v + 7*v = -2*s - 156, -4*v - 20 = 0. Let p = s + l. What is the least common multiple of p and 6?
66
What is the common denominator of (3/(3654/71))/(40/80) and 13/174?
1218
Suppose 2*l + 138 = 126, -4*i + 34 = l. Let v be ((-2)/(-3))/((-3)/(-9)). Calculate the least common multiple of i and (7 + (4 - v))*1.
90
Let l = 495 + -482. Let x = 57 - 50. What is the lowest common multiple of x and l?
91
Suppose 111 = s + p + 3*p, 5*s - 4*p = 651. Let n = s + -115. What is the least common multiple of 10 and n?
60
Let b = 826 - 818. Calculate the smallest common multiple of b and 752.
752
Suppose 0 = 3*w + 2*w - 70. Let j = 267 - 279. Calculate the smallest common multiple of 148/6 - j/9 - -2 and w.
28
Let f = 5 - -3. Let i(w) = -2*w**2 - 141*w - 1491. What is the least common multiple of f and i(-13)?
8
Let b = -9710219/303312 + 2850/89. Calculate the common denominator of b and -83/66.
37488
Let s(z) = -z**2 - 7*z + 8. Suppose 4*a + 4*o = 308, 4*a + o - 201 = 104. What is the lowest common multiple of s(-6) and a?
532
Find the common denominator of -39/119 and ((-4)/306)/((-7588)/(-64227)).
714
Let k(c) = -c**3 + 6*c**2 - 3*c - 5. Let d = 10 - 5. Let j be k(d). Suppose -10 = -7*q + j*q. What is the smallest common multiple of 9 and q?
45
Let p = 249 - 167. Suppose 2*h + 66 + 13 = a, 4*a - p = 2*h. Let f = 47 + h. Calculate the lowest common multiple of f and 2.
8
Find the common denominator of 49/171 and (22/55 + 12/(-5))*302/(-72).
342
Let n = -8 - -5. Let d = n + 8. Suppose -3*z - 44 = -a, -853*a + 854*a - 22 = z. What is the lowest common multiple of a and d?
55
Let h be (-32)/8 + 1*30 - -4. Find the common denominator of ((-185)/h + -3)/13 and 28/39.
78
Let h be (3/((-12)/(-20)) + 0)/1. Suppose 0 = -g + h*g - 8. What is the least common multiple of 5 and 0 - (-3 - g/(-1))*3?
15
Suppose -2591*x + 2552*x = -12402. Calculate the lowest common multiple of x and 159.
318
Let m = -5/42257 - -1989279/27044480. What is the common denominator of ((-4)/10)/(24/1005) and m?
640
Let i = -735 + 450. Let u = i - -397. Calculate the lowest common multiple of u and 176.
1232
Calculate the common denominator of ((-8624)/(-7712))/49*(-3)/(-24) and -23/32.
7712
Suppose 0 = 4*w - 2*n + 13 - 65, w - 13 = 4*n. Calculate the lowest common multiple of w and (-258)/(-42) - (-3)/(-21).
78
Suppose -180*b + 1074 + 6 = 0. Suppose 4*m = 5*k + 3, 3*k + 0*m - 1 = m. Suppose k = -3*i + 16. What is the smallest common multiple of i and b?
30
Suppose 0 = -29*h + 41*h - 2184. Let v = -157 + h. What is the least common multiple of 55 and v?
275
Let f(a) = a**2 + 3*a - 10. Let z = 27 + -24. Suppose -3*r + r - y + 13 = 0, 4*r + z*y = 31. What is the least common multiple of f(r) and 15?
90
Suppose -185 - 1615 = -18*h. Calculate the common denominator of (23/30)/(2 - h/45) and 33/50.
100
Let l = 1926 + -1881. What is the lowest common multiple of 33 and l?
495
Calculate the common denominator of 101/438 and (-18)/584*164/328.
1752
Suppose 5*x = 5*u + 920, 0 = -u + 70 - 68. Calculate the lowest common multiple of x and 84.
2604
Suppose 5*d + 2*m = 595, 5*d - 3*m - 453 = d. Let a = 137 - d. Calculate the least common multiple of a and 10.
20
Let l = -228889/285 + 9641/12. Find the common denominator of -107/50 and l.
1900
Let z = -76 - -80. Suppose -6*g + 99 = -57. Calculate the common denominator of (z - 145/35)*11 and g.
7
Let i(u) = 13*u - 12. Let d be (4/(-18) + -3 + 3)*-9. Let a be i(d). What is the common denominator of 25/3 and (10 + -3)*(-12)/a?
3
Let b(i) = i**3 + 16*i**2 + 8*i - 11. Let y be b(-15). Suppose 0 = 7*n - y + 10. Suppose -5*r + 66 + 24 = 0. Calculate the lowest common multiple of r and n.
36
Let t(y) = -y**3 - y**2 + 2*y + 72. Suppose -5*p + 16 = -2*q + 3*q, -5*q + 32 = p. Suppose 6*r = 5*r + q. What is the smallest common multiple of r and t(0)?
72
Let n = 2668/3 + -437585/492. Find the common denominator of n and -97/48.
1968
Find the common denominator of 2 - 1 - 725/30 and (118/70)/(560/784).
150
Let v(x) = x**2 + 19*x + 68. Let r be v(-14). Calculate the common denominator of 0/(-2) - (-5)/3 and 3/r*(-5084)/(-1845).
15
Let a = 4105 - 1970399/480. Calculate the common denominator of a and 109/12.
480
Suppose -31*g = -27*g + 1748. Let w = -417 - g. Let i = 89 + -59. Calculate the lowest common multiple of i and w.
60
Suppose 2*t - 265 = -5*g, -101 + 476 = 3*t + 3*g. Calculate the lowest common multiple of t and 75.
600
Let u(m) = m**2 + 9*m - 92. What is the least common multiple of u(7) and 3 - ((-2 - (2 + 0)) + -38)?
180
Let s be 90 - (7 - (3 + -3)). Find the common denominator of (24/24)/((-1)/s*-194) and -13/22.
2134
Let y = 1313591/154 + -8530. Calculate the common denominator of y and -10 + 2 + 3681/594.
462
Suppose 0 = -2*n + 34*n - 3360. Let h = -59 + n. What is the smallest common multiple of h and 6?
138
Let y = 64 + -22. Let d = y + -31. Let x = -38 + 44. What is the smallest common multiple of d and x?
66
Calculate the common denominator of -22/189 and (-25954)/(-20328) - ((-110)/40 - -4).
22869
Let z = -136832/63 - -2173. Calculate the common d