
Suppose 39*n - 48*n + 5 - 158 = 0. Find the common denominator of 15/2524 and n.
2524
Suppose o + 7085 = 3*r, -5*r + 3*o + 6502 = -5301. Let h be (-2)/(-4) + r/(-4658). Let l = -9181/274 - h. What is the common denominator of l and -9/10?
10
Let a(f) = f**2 + 4*f + 10. Let g be a(-5). Suppose 5*i - 3*t + 51 = 0, 0 = -i + 3*t - g. Find the common denominator of 163/30 and ((6/36)/(i/8))/2.
270
Let s(r) be the first derivative of -r**3/3 - 7*r**2/2 - 11*r + 16. Let v = 25 + -29. What is the smallest common multiple of s(v) and 3?
3
Let g = 4969/14 - 354. Let f be 2409/(-14) - ((-177)/(-21) + -9). Let t = 3441/20 + f. Calculate the common denominator of t and g.
140
Let s(x) = 3*x**2 - 8*x. Let h be s(3). Find the common denominator of h*34/405 - (-28)/(-70) and 2/18*(-978)/20.
270
Let b be (2538/36)/(26/28). Let f = 41027/520 - b. What is the common denominator of 81/32 and f?
160
Let k = 252 - 242. Calculate the least common multiple of (-24)/(-30) + 502/k and 34.
102
Suppose -32*h + 31*h = -3*o - 2235, -5*h + 3*o = -11091. What is the lowest common multiple of h and 738?
2214
Let g = -7148453 + 45035253799/6300. Find the common denominator of 89/54 and g.
18900
Let v = 7626 + -1844. Calculate the lowest common multiple of v and 18.
52038
Suppose -89 - 167 = -16*j. Calculate the smallest common multiple of j and 20 + (1 - (1 + -2)).
176
Let s(o) = -2*o**2 + o - 6. Let y = 102 - 106. Let t be s(y). What is the smallest common multiple of 11 and ((-20)/(-7))/(-2 - 96/t)?
110
Let h be -2 + (-1)/(-2) - 93/62. Let t(w) = 5*w**2 + w. Calculate the smallest common multiple of 21 and t(h).
42
Suppose 2*c = -2*j - 5244, 4*c = -j - 0*j - 2619. Let y = -47147/18 - j. Calculate the common denominator of -69/40 and y.
360
Suppose -4*u = -2*c + 30234, -4*u + c - 6*c - 30227 = 0. Let a = u + 105703/14. What is the common denominator of a and 3/77?
154
Let s = 31665/8 + -11557921/2920. Calculate the common denominator of 61/10 and s.
730
Calculate the least common multiple of 16 + -9 - (-693 + 11) and 10.
6890
Let a(n) = 7*n - 35. Let b = -53 + 61. Calculate the lowest common multiple of 8 and a(b).
168
Let w = 19238 - 18062. Calculate the lowest common multiple of w and 336.
2352
Let n be 3*195/(-25) - 4/(-10). Let v = 30 + n. Suppose -3*o - 3 = 3*y, o - v = -0*y - 3*y. Calculate the least common multiple of 2 and y.
4
Let h be ((-55)/20 + 2)/((-3)/284). Suppose -32 = h*d - 73*d. What is the smallest common multiple of 16 and d?
16
Suppose -4*m + 379 - 2173 = -3*k, -1800 = -3*k + 2*m. Calculate the least common multiple of k and 860.
6020
Let q be (1 - (-5510)/(-5))*(-3 - -2). Suppose 35*o = q + 3309. What is the smallest common multiple of 162 and o?
1134
Let l = -11809 + 14119. Calculate the smallest common multiple of 126 and l.
6930
Suppose -3*z + 3*m + 9 = 0, -z + 5*m - 12 = 5. Calculate the common denominator of (-4 + (-444)/(-114))*(0 + z) and (93/4)/((-36)/(-32)).
57
Let y(h) = h**2 - 4*h + 4. Let a be y(4). What is the common denominator of 8/(320/147)*-2 + a and 109/160?
160
Let y(v) be the first derivative of 19*v**4/4 - 3*v**2/2 + 4*v - 64. What is the least common multiple of y(1) and 15?
60
Let b(m) = 59*m**2 + 10*m + 9. Let n be b(7). Let v = -1750 + n. Let u = v - 9743/8. What is the common denominator of u and 17/5?
40
Let y be (2 + (1 - 4))/((-2)/(-10)). Let t = y + 27. Suppose -4*n + 3 = -c, -3*c + t = c + n. Calculate the least common multiple of 77 and c.
385
Let q = -4809 - -38383/8. What is the common denominator of q and 119/6756?
13512
Let s = 4497807/76 + -59183. What is the common denominator of (-2)/9 - 1137/(-54) and s?
228
Suppose -4*h - 4 = 4. Let t be (-2 - h)/(5 - 8). Calculate the common denominator of (-3)/(-8) + t/(-17) and -46/9.
72
Suppose -2*a - d + 434 = 0, -2*a + 2*d + 57 = -389. Let z = 235 - a. Let t(p) = -p**2 + 5*p + 8. What is the smallest common multiple of t(6) and z?
16
Let i = -15598 - -561617/36. Calculate the common denominator of i and 151/1260.
1260
Let j = 457502 + -230581097/504. What is the common denominator of 95/108 and j?
1512
Let r(u) = -49579*u**2 - 1. Let o be r(1). Let t = 197079/4 + o. Let p = t - -301. What is the common denominator of p and 1/26?
52
Suppose 4380*a - 4401*a = -168. Calculate the lowest common multiple of 1823 and a.
14584
Suppose 3 - 13 = -m. Let h(p) = -p - 5. Let j(t) = 4*t + 35. Let b(f) = 3*h(f) + j(f). What is the lowest common multiple of b(m) and 2?
30
Let f(x) = -12*x**2 - 55*x - 12. Let j be f(-18). What is the common denominator of 67/24 and (185/(-200) + 1)*j/(-108)?
48
Let p be 1/(2/((-4)/(-73357))). Let b = -17/483953522108 + -1863811725375815055/390515163734042116. Let d = p - b. Find the common denominator of -67/8 and d.
88
Suppose -185*u + 266855 + 194905 = 0. What is the least common multiple of 195 and u?
12480
Let u be (-32)/6 + (-28)/42. Let i(a) = -a + 20. Let m(b) = -b + 19. Let c(x) = u*i(x) + 7*m(x). What is the least common multiple of c(9) and 8?
8
What is the smallest common multiple of (252/(-630))/(-2 - 297/(-150)) and 10780?
10780
Let g = -744089/13150500 - 480/8767. Find the common denominator of g and -111/220.
16500
Let m be (-5 + 8)/(-15) - (-363)/15. Calculate the common denominator of (1/m*(-48)/32)/6 and -53/33.
1056
Let y = -15531/7 + 496327/224. Calculate the common denominator of 17/3680 and y.
3680
Let z be ((-6)/(-35))/((-18657)/1770). Let c = z + 649265/82229. Let h = c + -87/17. What is the common denominator of -21/5 and h?
105
Suppose 7*k + 4 = 130. Let c = -28211 - -677191/24. Find the common denominator of c and 6/40*102/k.
120
Calculate the common denominator of ((-247)/(-171) - 15)*1/(-212) and -61/30.
4770
Let i = 6489/5 + -1306. Let c = 108028/15 + -7197. Find the common denominator of i and c.
15
Let k = 75 - 51. Let f = 3 + k. Suppose n = -4*p + f, -3*p = 5*n - 5 + 6. What is the smallest common multiple of 6 and p?
24
Let j = -2/389 - -2775/10114. Let d = -127/182 + j. Calculate the common denominator of -77/39 and d.
273
What is the common denominator of 2420/(-32)*(-31)/(-1550) and 209/3360?
3360
Let s = -31/51 - 535/136. Let n = 115139/21 - 5484. Calculate the common denominator of s and n.
168
Let h = -7984306/975 - -8189. Calculate the common denominator of -86/45 and h.
2925
Let c = -1358 + 3200. Let k be 2/11*c/(-12). Let o = k - -28. Find the common denominator of o and -89/6.
66
Let b = -94 + 67. What is the common denominator of (-118)/40*(-18)/b*2 and 68/15?
15
Let u(k) = -8*k**2 - 2*k + 7. Let m be u(-3). Let o = 56 + m. Calculate the lowest common multiple of 20 and 5/(-10) - o/(12/34).
40
Let u be (-4680)/(-3200) - (-1 - -2). Let s = 105/16 - u. Calculate the common denominator of s and -107/30.
30
Suppose -3*z = -7*z + 64. Suppose -2*f + 22 = -3*g, -10*f - 25 = -15*f. Calculate the smallest common multiple of (-3)/9 - (1072/12)/g and z.
176
Suppose 0 = 4*i + 32, 475*u = 480*u + 5*i. What is the least common multiple of u and 13486?
53944
Suppose -2373 = 53*z - 19033 + 972. Calculate the lowest common multiple of 74 and z.
296
Suppose -4*q + 2 = -3*b, 0*q + 5*b - 20 = -5*q. Suppose -q*s = s - 5*s. Suppose 2*c + s*c = 32. Calculate the smallest common multiple of c and 10.
80
Suppose 231 = 5*c - 29. What is the least common multiple of c and 84/8*360/1890?
52
Let u(c) = c + 7. Let k be u(9). Suppose -19*w = -5*a - 16*w - 42, 4*a + 2*w + 16 = 0. Let m = k - a. What is the smallest common multiple of m and 1?
22
Let q(s) = 6*s - 85. Let h be q(14). What is the common denominator of h/18*((-720)/(-52) - 8) and -71/21?
819
Let n be 6/15 - 6160/25. Let r be (11*15/n)/(1/(-2)). Let m = -791/205 - r. Calculate the common denominator of 35/37 and m.
185
Suppose -335 = 4*g + 277. Calculate the common denominator of ((-3950)/816 - -3) + 18/g and -137/120.
120
Let a = 12866/9 - 137245/96. What is the common denominator of 122/(-1037) - ((-33836)/(-1020))/11 and a?
1440
Let n = 112141/12 - 9352. Let d be (9 + -10)/(6/(-424)). Let f = d + -835/12. Calculate the common denominator of n and f.
12
What is the smallest common multiple of 2*1 - (17 - 15297)/10 and 2?
1530
Suppose 53 = 5*n + 3*p - 133, 4*n = -5*p + 141. Let u = n - 33. Let q(y) = -3*y + 131. Calculate the smallest common multiple of u and q(31).
114
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