- o. Calculate the least common multiple of a and ((-2)/(-3))/(2/33).
99
Let f be 42/((6/87)/1). Let s = -1633/250 - -4/125. Find the common denominator of ((-3)/(-81))/((-14)/f) and s.
18
Let w(i) = 2*i - 6. Let k be w(4). Suppose k*l = 2*p + 16, 4*p - p - 20 = -l. Let m = 22 + -21. What is the least common multiple of m and l?
11
Suppose 4*d - 5 = 3*d - 3*a, 4*d - 2*a = 34. Suppose 0 = -9*q + d*q + 6. What is the least common multiple of q and 5?
30
Let y be (-2)/17 - (-6167)/(-2346). Let n = y - 1/276. Calculate the common denominator of n and -33/8.
8
Let s = 40345/282906 - 24/169. Let i = 39758/837 - s. Let h = 1440/11 - 1468/11. Calculate the common denominator of i and h.
22
Let q(s) = 2*s**2 + 23*s + 14. Let c be q(-11). Suppose -7*h = -c - 32. Calculate the least common multiple of 9 and h.
45
Calculate the common denominator of -101/44 and (350/(-168))/((-6)/(-9)).
88
Find the common denominator of -32 and (168/(-36) + 6)*90/(-3164).
791
What is the common denominator of 19/36 and (236/120 - 2)*(-55)/2?
36
Suppose 0 = -139*y + 147*y - 16. What is the smallest common multiple of 1 and y?
2
Suppose o = -0*o. Let j(r) = r**3 + 2. Let m be j(o). Calculate the common denominator of 59/7 and (-207)/m*(-2)/(-12).
28
Let v(x) = 6*x**2 - 13*x + 11. What is the least common multiple of 2 and v(1)?
4
Suppose -2*c - 4*z + 30 = -c, -2*c + 15 = -z. Calculate the least common multiple of c and 25.
50
Let t(s) = 6*s + 14. Calculate the least common multiple of 18 and t(0).
126
Let d be (9298/(-30))/(2/(-3)). Let n = d - 470. Calculate the common denominator of n and 13/14.
70
Let y(a) = 10*a**2 - 2*a + 12. Let n be y(6). Let s = -4339/12 + n. What is the common denominator of s and 71/12?
12
Suppose 6*v - 33 = 9. Calculate the least common multiple of 33 and v.
231
Calculate the common denominator of 87/20 and -1 - (-4 + -3) - 3508/560.
140
Let c = 23 - 12. Calculate the least common multiple of c and 8 + (0/(-5))/(3 - 2).
88
Let y = -2938 + 94003/32. Find the common denominator of y and -101/88.
352
Let m = -9 + 25. Find the common denominator of (-52)/m + 2/3 and ((-2)/16)/(2/81).
48
Let l = 6329/97251 + -2/13893. What is the common denominator of 8/7 and l?
77
What is the smallest common multiple of ((-27)/(-4))/((-33)/(-176)) and 12?
36
Suppose 5*s + g = -2*g - 7, 0 = -3*s - 4*g - 2. Calculate the common denominator of (s/(-9))/1 + (-149)/36 and 97/22.
132
Let i = -14419 + 173141/12. Find the common denominator of -53/264 and i.
264
Let s = 2 - -1. Let d = 36 - 28. What is the smallest common multiple of 16 - (-1 + 2 - s) and d?
72
Let q = 72 + -34. Suppose v - 2*h = -4*v + q, 4*v + 4*h - 36 = 0. Suppose -51 = -4*g - 47. Calculate the lowest common multiple of v and g.
8
Calculate the smallest common multiple of 10 and (-15)/9 + 448/24.
170
Find the common denominator of 1120/495 + -4 + (-6)/(-3) and 29/2.
198
Calculate the common denominator of 5/16 and -1 + 2 + (-1052)/(-64) + -22.
16
Let j = 4567 + -178099/39. Find the common denominator of j and 44/3.
39
Suppose -20*w + 289 = -31. What is the lowest common multiple of 48 and w?
48
Suppose i = 2*k - 5, -7*i = -12*i - 2*k + 23. Let n(j) = -j**2 + 11*j + 1. What is the least common multiple of n(11) and i?
3
Suppose -4*m + 140 = 2*f, -2*m = m - 5*f - 118. What is the smallest common multiple of m and 36?
36
Suppose -2*t + 60 = 5*p - 5*t, 0 = 3*p + 5*t - 36. Calculate the least common multiple of p and 10.
60
Let f = 29 + -30. Let b be 0 - (2*-1 - -1). What is the smallest common multiple of -1 + f + b + 23 and 8?
88
Find the common denominator of 8997/(-21600) - (-8)/(-100) and 7/3.
288
Let b(v) be the third derivative of v**4/12 - 2*v**3 - 5*v**2. Let f be b(-10). Let a = -18 - f. Calculate the lowest common multiple of a and 20.
140
Suppose -2*x + 2424 = 5*n, 0*x + 2*x = -4*n + 2426. Let z = x - 4799/4. Find the common denominator of -125/6 and z.
12
Let t = -162/35 - 2633/210. Find the common denominator of 85/494 and t.
1482
Calculate the common denominator of (-1 - 3/(-6)) + (-124)/(-56) and 45/8.
56
Let p(t) be the third derivative of t**4/24 + t**3/3 + t**2. Let f(w) = w**2 - 13*w - 28. What is the lowest common multiple of p(7) and f(15)?
18
Calculate the common denominator of -1*(-12)/6750*-84 and -58/75.
375
Find the common denominator of -71/8 and (39/(-1040))/(2/23).
160
Let o(b) = b**2 + 2*b + 8. Let z(i) = 2*i**2 - 11*i + 14. Let u be z(6). Let a be 3/1*u/(-15). Calculate the least common multiple of 16 and o(a).
16
Let g(u) be the first derivative of -u**3/3 - 2*u**2 + 36*u - 17. What is the lowest common multiple of 24 and g(-7)?
120
Let i be 12*-1*3/(-6). Suppose -i = -3*n - 0*n. Let m = n - -6. Calculate the smallest common multiple of m and 2.
8
Let q = 5233/2 - 2699. Let w = -82 - q. Calculate the common denominator of w and -24/7.
14
Let h = -3775 - -37667/10. Find the common denominator of (-54)/(-64)*36/(-3) and h.
40
Let t(o) = -o. Let z be t(-4). Let n = z + 6. Suppose 13 = 7*q - 43. What is the lowest common multiple of n and q?
40
Let x = -370319/1137326 + 2/5521. Find the common denominator of 45/2 and x.
206
Let z = -12023/8 - -1510. Calculate the common denominator of 81/244 and z.
488
Suppose 0 = q, -4*l - 19*q = -15*q - 84. Calculate the smallest common multiple of l and 70.
210
Suppose -10*n - 2*n + 12 = 0. What is the smallest common multiple of 24 and (2*n/(-5))/((-4)/520)?
312
Suppose 3 = 5*c - 7. Let q = 693 - 3421/5. Calculate the common denominator of q and 0 + c - (-160)/8.
5
Suppose -3*z + 2 + 58 = 0. What is the lowest common multiple of z and 52?
260
Let n be 364/39*(-3)/(-1). Suppose -o = o - n. Let g = -10 + o. Calculate the smallest common multiple of g and 1.
4
Suppose 7*u - 3*u - 88 = 0. Let b(j) = -48*j + 2. Calculate the lowest common multiple of b(0) and u.
22
What is the common denominator of 43/7 and (-3)/((-18)/(-93)) - (-120)/20?
14
Let u = 18575019/4466 - 45748/11. What is the common denominator of 23/406 and u?
406
Find the common denominator of -7/30 and (-18)/72*190/(-6).
60
Let t = 215 - 209. Calculate the smallest common multiple of 24 and t.
24
Suppose -9 = 4*l + 31. Let q be (1 + l)*(-22)/3. Find the common denominator of (-8)/44 + 1079/q and -34/9.
18
Suppose 0 = -42*z + 37*z + 10. Suppose -d + z*d + 66 = 3*a, -4*a + 3*d + 93 = 0. Calculate the least common multiple of a and 33.
231
Find the common denominator of -83/4 and ((-85)/(-1))/(-4*(-2)/4).
4
Let i be (-630)/50 + (-2)/5. Let a(g) = -g**3 - 13*g**2 + 2*g + 29. Calculate the least common multiple of 6 and a(i).
6
Suppose -7 = -d + 41. Let z = 4 + -2. Calculate the least common multiple of z and (2/(-12))/((-8)/d).
2
Let l be (-6)/((-3 - -12)/(-9)). Let f(n) = -25*n - 1. Let q be f(-1). Suppose -3*s - q = -l*s. What is the smallest common multiple of s and 5?
40
Let g(n) = 9*n**2 - 2*n + 3. What is the smallest common multiple of g(1) and 103?
1030
Suppose -12 = 4*h + 52. Calculate the common denominator of (78 - -1)/(5 + -7) and (-6 - -4) + (-74)/h.
8
Let b(s) = -10*s + 62. What is the least common multiple of b(6) and 303?
606
Find the common denominator of 3074/(-20097) + 6/27 and 83/6.
462
Let w(d) = d**2 + 36*d + 236. Calculate the lowest common multiple of 232 and w(-28).
696
Let v(u) = -u**3 + 9*u**2 + 2*u - 8. Let r be v(9). What is the common denominator of ((-4)/r)/((-176)/1705) and -39/2?
8
Let s = -1034 - -1394. What is the least common multiple of 160 and s?
1440
Suppose 115 = 4*u + 3*w - 2*w, w = 2*u - 65. Suppose -3*j + j + 3*b + u = 0, 2*j = b + 26. Calculate the lowest common multiple of j and 14.
84
Calculate the least common multiple of 253/46 - (-12)/(-8) and 58.
116
Suppose 2 - 4 = w. What is the lowest common multiple of 24 and (12 + 0)*(-4 + 7 + w)?
24
Let z(w) = w**2 - 4*w + 7. What is the smallest common multiple of z(0) and (222/9)/(2/3)?
259
Let r(b) = b**3 - 21*b**2 + 26*b - 48. Calculate the least common multiple of 80 and r(20).
720
Let x(g) = -300*g + 17. Let i be x(-11). Let t = i + -26501/8. Let f = -4514/11 + 411. Find the common denominator of f and t.
88
Let k(t) = 28*t + 362. Calculate the lowest common multiple of k(-12) and 143.
286
Let z = -203447/7467 - -14/393. Let d = z - 11/38. What is the common denominator of d and -41/4?
4
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