24. Find the common denominator of 20/43 and r.
774
Let o(u) = 4*u**2 + 17*u - 3. Calculate the lowest common multiple of 78 and o(-8).
234
Let f(g) = 6 + 6 - 1 - 4 - g**3 - 5*g**2. Let w = 5 + -10. Calculate the least common multiple of 10 and f(w).
70
Suppose k = 11*k - 50. Suppose -k*f + 6 = -i, i + f + 0*f = 6. What is the smallest common multiple of i and 2?
4
Let x = 20 - 11. Let f = -157/6 + x. Find the common denominator of f and 57/8.
24
Suppose -2*c + 44 = 2*j - 6*c, -103 = -5*j + 3*c. What is the lowest common multiple of j and 76?
380
Let k = 1745/6 - 309. What is the common denominator of k and -53/974?
2922
Let u = -494 + 546. Let j = -5 + 7. Calculate the smallest common multiple of u and j.
52
Suppose 2 = 4*p - 22. Let l be (0/4 + 3)*1. Calculate the smallest common multiple of p and l/(172/80 + -2).
60
Suppose 0 = -u - 3*k - 13, -5*u = 2*k + k + 5. Let j(n) = 15*n + 16. Calculate the least common multiple of j(0) and u.
16
Let f be -1 + 8 + -2 + 0. Let i be (-8)/f*(-30)/12. Find the common denominator of i/20 - 2084/120 and 95/4.
12
Suppose 14 - 1 = -2*n + 3*b, -3*n - b + 8 = 0. Let t be 1/(n - 2) - 134. Let h = -948/7 - t. What is the common denominator of -69/4 and h?
28
Let m be ((-2)/5)/((-6)/30). Suppose -3*b = m*b - 10. What is the lowest common multiple of 44 and b?
44
Let o be 3 - (0 - 4 - 0). Let a = 8 - o. Let p(t) = 23*t**3 - t**2 + t - 1. What is the smallest common multiple of p(a) and 6?
66
Let f = 32 + -16. Suppose -f*w + 18*w = 24. Let s = -24 + 44. Calculate the smallest common multiple of s and w.
60
Suppose r = 4*r. Suppose 0*d + d + 4 = r. Calculate the common denominator of 57/7 and 2/d - 59/10.
35
Let c = 4/3857 - -374033/92568. Find the common denominator of c and 81/8.
24
Suppose -3*z + 72*l + 34 = 77*l, -2*l = -5*z + 5. Calculate the smallest common multiple of 168 and z.
168
Suppose 4*u + 0*u + 12 = p, -5*u = -3*p + 22. Calculate the least common multiple of 5 and (19/u*-2)/1.
95
Let d(v) = 2*v. Let a be d(-1). What is the common denominator of ((-9)/5)/(a/55) and 6/(-45) + -7*394/240?
8
What is the common denominator of -8/105 and 21/(-66)*(-8)/14?
1155
Let i = -660534 + 29078809/44. Let g = -1383/4 + i. Find the common denominator of g and -64/39.
429
Suppose 0 = 5*j + 10, -2*o + 5*o - 60 = -3*j. Calculate the smallest common multiple of 46 and o.
506
Find the common denominator of 101/14 and 15*(-6)/(-1116)*96/6.
434
Suppose -4*d + d = -6. Suppose d*f - 30 = -8. What is the smallest common multiple of 5 and f?
55
Let m = 18/125 + -4947/500. Let r = 1/2200 + -4291/2200. What is the common denominator of r and m?
20
Let o = 467 + -401. What is the lowest common multiple of 121 and o?
726
Let m(b) = b - 17. Let t be m(0). Calculate the lowest common multiple of (-2)/4 + t/(-2) and (-4 - 238/(-63)) + 56/9.
24
Calculate the common denominator of -13/56 and 60/450 + (-346)/(-3480).
1624
Let b = -7744055/78 - -99281. Calculate the common denominator of b and -83/18.
234
Let b be (-1)/3 + (-166)/(-3). Suppose -p + b = 4*p. Suppose -2*m = -j + 3, 0 = -0*j - 2*j + 3*m + 6. What is the least common multiple of j and p?
33
Let y be 153125/1320 + (-4)/(-6). Let u = -1326/11 + y. What is the common denominator of u and 28/5?
40
Let z(u) = -u**3 - 4*u**2 - 3*u + 2. Let l(k) = k - 17. Let q be l(13). Let d be z(q). Let c = -9 + d. Calculate the lowest common multiple of c and 8.
40
Let u be 0 + (-2 - -1) + 1. What is the common denominator of 29/22 + (3 - u) and (-970)/(-4)*(-2)/20?
44
Let r = -2837 + 31178/11. Find the common denominator of 70/51 and r.
561
Let i(d) = 20*d**3 - 7*d**2 - 12*d + 1. Let w be i(8). Suppose -3*a = w + 15074. Let t = a - -206388/25. What is the common denominator of -23/4 and t?
100
Let u = 2753 - 2634. What is the lowest common multiple of u and 35?
595
Let i = -43209/44 + 3911/4. Let o = 944/33 + i. Let y = 659/10 - 133/2. What is the common denominator of o and y?
15
Suppose -216 = -28*q + 16*q. What is the least common multiple of q and 144?
144
Calculate the common denominator of 2/51 and (7/((-7854)/(-39)))/((-8)/40).
1122
Let f be 1*(21408/(-10702) - -2). Let m be 1/4 - 5747118/(-385272). Let a = f + m. What is the common denominator of 58/9 and a?
18
Let z(g) = 9*g**3 + g**2. Suppose 11*s - 7*s - 24 = 0. Calculate the smallest common multiple of s and z(1).
30
What is the common denominator of ((-551)/114)/((-2)/3) and -62/3?
12
Let u = 90/121 - 2356/5445. Calculate the common denominator of 5/9 and u.
45
Let u = 21 - 15. Suppose -8 + 4 = -3*m + 44. Calculate the least common multiple of m and u.
48
Suppose -5*h + 28 = b - 8*h, 0 = -4*b - 4*h + 112. Calculate the lowest common multiple of 62 and b.
868
Let n(h) = -h**3 + 12*h**2 + 29*h - 19. Let l be n(19). Calculate the common denominator of -7/2 and ((-7)/105)/(((-96)/l)/(-4)).
24
Let k(p) = 15*p + 3. Let c be k(-3). Calculate the common denominator of (-593)/c - (-4)/(-14) and 8/(-192)*-530 - (-6)/9.
12
Suppose 5*j + 3*y = -326, 15 - 94 = j - 4*y. Calculate the common denominator of (j*2/12)/(6/(-18)) and 69/8.
8
Suppose -3*p - 4150 = -4*x + 2534, -2*p = -3*x + 4456. Let b = p + 8977/4. What is the common denominator of 39/4 and b?
4
Let b be 26/(1/16*4). Let j = b + -50. Calculate the lowest common multiple of 14 and j.
378
Let p be (20/26 - 1)*4613. Let w = 1068 + p. Calculate the common denominator of -4*1 + -4 + (-114)/18 and w.
39
Let m be ((-20906287)/(-134228))/((-63)/(-2)). Let g = m + -2/30639. Find the common denominator of -29/10 and g.
90
Suppose -g = 2*m - 8, 38 = -511*m + 513*m - 4*g. Suppose 2 = 2*r - 3*a + 5, -2*a = 3*r - 28. Calculate the least common multiple of m and r.
42
Suppose 0 = 4*o - 4*h - 32, -5*h - 10 = -2*o. What is the least common multiple of 1/(o/4) - (-152)/20 and ((-3)/(-3))/((-2)/(-18))?
72
Calculate the common denominator of 71/(-27) + (-36)/(-18) and -26/27.
27
Suppose -172 = -4*o + 4*d, -3*o + 0*d + 139 = -d. What is the least common multiple of 16 and o?
48
Suppose 1946 = 19*i - 334. Calculate the lowest common multiple of i and 160.
480
Suppose 4*k = 15 - 59. Let x = k - -17. What is the lowest common multiple of 22 and x?
66
Calculate the common denominator of ((-17)/(-34))/(8/71) and 9/28.
112
Let a = 2244 + -15681/7. Let b(p) = p**3 + 8*p**2 + 5*p - 6. Let k be b(-6). What is the common denominator of a and 2/8 - (-71)/k?
63
Suppose -3*n = 5*k - 175, 2*k = 6*k + 3*n - 143. Suppose -64*x + k = -62*x. What is the smallest common multiple of 4 and x?
16
Suppose -99 = i + 39. Let y be 1/(273/i - -2). Find the common denominator of 89/2 and (-4)/4 + y/(-4).
2
Suppose -4*k = k - 290. Suppose -3*b - k + 19 = 2*s, 4*b - 4 = 2*s. What is the common denominator of -37 and s/12 + (-29)/4?
4
Let q be (-2)/7 - (-7663)/(-7). Calculate the common denominator of 2/(3/(q/(-40))) and 12/31.
124
Let l(s) = -s**2 - 9*s + 9. Let x(w) = -w**3 + 11*w**2 - 30*w + 109. Calculate the least common multiple of x(9) and l(-9).
9
Let k(q) = -69*q - 3. Let y be k(-7). Let v = y + -1017/2. Find the common denominator of v and (15/(-8))/5 + 4.
8
Let n be ((-1929)/(-30))/(3/(-119307)). Let c = n + 2553735. Let q = 3415 + c. What is the common denominator of q and 14/3?
30
Let z = 1157 - 1150. Suppose -2 = 2*p - 4. Suppose -5*o = -5*a - 35, 2*o - 3*o = a - p. What is the lowest common multiple of z and o?
28
Let x = 85/262 - -1191/20960. Find the common denominator of x and -91/96.
480
Let o = 31529293/12 - 2625104. Let h = -2344 + o. What is the common denominator of h and -73/32?
96
Let d = -166205/3534 + 14053/285. Let p = d - -2/93. Find the common denominator of -7/18 and p.
90
Calculate the common denominator of 95207/4998 + 3/((-153)/(-6)) and 13/(-4)*(-2 + 8).
6
Find the common denominator of (-779)/(-140) + 62/217 and -3/122.
1220
What is the lowest common multiple of (-9)/18 + 604/8 and 120?
600
Let w be -2 - (36324/(-12110) + 1). Let y be (1441126/126)/(8650/15). Let i = w + y. Calculate the common denominator of -55/7 and i.
42
Suppose -9 = 2*o + 5*c, 5*o = 9*o + 4*c. Calculate the common denominator of (435/80)/(o + (-21)/6) and -85/8.
8
Let s = -41 - -74. Suppose 273 = -5*w + s. What is the common denominator of 71/3 and w?
3
Let w = 1690 - 20327/12. Find the common denominator of w and -11/6.
12
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