Let z = s - g. Find the common denominator of z and -71/6.
30
Let o = 1953/13 + -36389/234. Let r be ((-41337)/36)/((-186)/884). Let q = r - 5457. Find the common denominator of o and q.
558
Let s be -17*4*(-6)/24. Suppose 0*p + 68 = s*p. Calculate the least common multiple of p and 12.
12
Find the common denominator of 9/17 and (-873)/(-18) + -13 + -11.
34
Let w = 836 - 196. Let f = -6869/4 + 1698. What is the common denominator of (240/w)/((-3)/89) and f?
8
Let w = 113 - 109. Suppose 4*i + 16 = -12*v + 6*v, -2*v - 12 = -2*i. What is the least common multiple of i and w?
4
Suppose 0 = 5*o - 1320 + 35. Let b = o + -57. Calculate the common denominator of 3/(-84)*b/(-8) and -133/18.
252
Let d be (-1)/111*(-15)/(-35). Let w = d + -19937/1554. Find the common denominator of ((-18)/28)/(142/(-1491)) and w.
12
Find the common denominator of 150/(-800)*(-116)/69*40/12 and 30/17.
2346
Suppose -2*w = 3*z, 4*w - 5*w - 11 = -4*z. Calculate the least common multiple of 3135/25 + (-12)/30 and z.
250
Let u = 35173/20966 + 4/953. What is the common denominator of u and 9 + (869/(-132) - 2)?
132
Let p = 63207/5 + -12640. Let n = -916/275 - -106/25. Calculate the common denominator of n and p.
55
Let k(h) = -2*h**2 + 17*h + 82. Let o be k(12). What is the common denominator of (213/36)/(o - 5/(-2)) and -101/10?
30
Let c = 520 - 514. What is the least common multiple of ((-12)/10)/(c/(-100)) and 8?
40
Suppose -534*a + 3060816 = -410*a. Calculate the smallest common multiple of 10 and a.
123420
Let r = -1639 + 244. What is the common denominator of (2/36)/((-21)/r) and (-123)/(-6)*10/20?
84
Let l = 213235/2 - 109347. Let j = 82057/30 + l. What is the common denominator of -123/20 and j?
60
Let t = -59 + 60. Let n = -4609 - -152069/33. Calculate the common denominator of 2 - (-188)/120 - t and n.
330
Let f = -678 - -702. What is the least common multiple of f and 6?
24
Suppose 13*t = 45*t + 1536. Calculate the common denominator of -75/92 and 2/60*6408/t.
460
Suppose 5*a = 2*h - 0*a + 21920, -5*h = -3*a + 54819. Let l be (h/20)/((-3)/8). Let t = l - 11617/8. Calculate the common denominator of t and -49/36.
72
Let x(g) = 38 + 39 - 74 + 5*g**2. Let i be x(-2). Suppose -8*t = -71 + i. What is the lowest common multiple of t and 12?
12
Suppose w = 2*a - 5, a + 29 = -4*w - 0*a. Let p be (-110)/(-2 + -8) + -8. What is the lowest common multiple of 6 and w/(-14)*4*p?
6
Let l = 2/31143 + 31987/53388. Calculate the common denominator of 121/966 and l.
5796
Suppose -9 = 31*t - 32*t. Suppose t = -2*r - r - v, -r = 4*v - 8. Calculate the common denominator of ((-3)/r)/((-6)/82) and 23/10.
20
What is the common denominator of -13/1936 and ((-10)/4)/(84480/(-5440))?
5808
Suppose 4*v = 8, 4*v + 71 = k - 0*k. Let q = k - 81. What is the smallest common multiple of q/(-2) - (-5 - (-9 - -7)) and 4?
4
Let i = -54581/3443145 - -30/3233. What is the common denominator of -61/30 and i?
2130
Suppose 40*h - 8539 + 7819 = 4*h. Suppose 8*b - 5 = 3*b. Suppose -9 + b = -2*c. Calculate the lowest common multiple of h and c.
20
Let l = -311 - -236. Calculate the least common multiple of 48 and 115*(-10)/l*3 - -2.
48
Let b = -30 + 33. Suppose 0 = -4*z + b*z + 28. Suppose -129*p + 28 = -127*p. Calculate the smallest common multiple of p and z.
28
Let v(n) = -3*n**3 + 91*n**2 + 39*n - 19. Let y be v(31). Suppose 0 = 4*p + 26 + 10. Find the common denominator of p/15 - y/495 and -82/39.
429
Suppose 0 = 478*t - 2103 + 286 - 1051. What is the least common multiple of t and 13818?
13818
Suppose 0*p - 9 = 3*p - 3*h, 0 = 2*p - 4*h + 14. Let n be ((-22)/p + 3)*1. Calculate the smallest common multiple of (n - -22)/((-3)/(-8)) and 8.
8
Suppose -4*r + 32*t - 29*t + 2581 = 0, -2*t = -4*r + 2574. Calculate the lowest common multiple of 800 and r.
3200
What is the common denominator of -4 + (-22)/(-6) - 758/(-312) and 2 - (-140)/5*(-3)/44?
572
Suppose 53 + 17 = -7*u. Let s = u + 8. Calculate the least common multiple of ((4 - -21) + -1)*s/(-4) and 6.
12
Suppose 4*n = -d + 45, 20*n + 60 = 25*n + 2*d. What is the least common multiple of n and 1150?
1150
Let i be 0/(-5) + -6 + 1626. What is the common denominator of (-6579)/i + (-2)/(-45)*-3 and -77/8?
72
Find the common denominator of 49/4 and 45/(-336)*(0 + (9 - 7/21)).
56
Find the common denominator of -14 + ((-10130)/(-640) - 1) and -45/352.
704
Let y(f) = -12*f - 286. Calculate the smallest common multiple of y(-80) and 26.
8762
What is the common denominator of 13459/516 + (3 - (-13)/(-3)) and 101/864?
864
Let p = 56659/120736 - 2/3773. What is the common denominator of p and (-1122)/(-64) - 14 - 1?
32
Let z = 6522 - 997. Calculate the lowest common multiple of 153 and z.
49725
Suppose -p = r + 4*p + 11, 3*p - 35 = r. Let o = r + 39. Suppose -o = -5*y - 68. What is the common denominator of y and -28?
1
Suppose 3*v - 26 = h, -3*v - 33 = -7*v + h. Suppose f - 88 + 83 = 0. What is the lowest common multiple of v and f?
35
Let c = -15/71 + 2783/3763. Let h = -43470149620/1431 - -30377465. Let k = h + c. Calculate the common denominator of -4/33 and k.
297
Let n = -299/126 + -85/14. What is the common denominator of n and 93/628?
5652
Let b = 36272/417745 - -3/1943. Find the common denominator of 9/1376 and b.
6880
Let k be 576209222/15045 + 0 + 2/5. Let f = k - 38298. Calculate the common denominator of -7/9 and f.
153
Let n = 1091239 + -1763442311/1616. What is the common denominator of -91/202 and n?
1616
Let b = 5 + -2. Let t = -444 + 444. Suppose t = 2*p + 5 - 71. What is the smallest common multiple of b and p?
33
Suppose 59*w - 10715 - 9109 = 0. What is the least common multiple of w and 144?
1008
Let o be (-12)/(-7)*((-35)/10 - -7). Let d be -9*(32/o - 5). What is the common denominator of -38/33 and (-175)/30 + d + -3?
66
Suppose 41*n = 34*n - 21. Find the common denominator of -5/752 and n.
752
Find the common denominator of 73/20 and (-92)/(-161) - (-87)/448.
320
Calculate the common denominator of 17/2313 and (-403 - -406) + (23216/(-4626) - -1 - -1).
2313
Let h(t) = -65*t - 140. Let y be h(-2). Find the common denominator of -131/96 and (-5)/(y/4) - 400/256.
96
Suppose 0 = -4*g + 2*m + 5178, -g - 198*m = -199*m - 1293. What is the lowest common multiple of 432 and g?
1296
Suppose 36*x - 32*x + 32 = 0. Let j = x - -17. Let m = -13 + 21. What is the lowest common multiple of j and m?
72
Find the common denominator of (((-504)/(-70) + -7)*2)/((-108)/(-1695)) and (-13)/(-68)*11/6.
1224
Suppose 0 = 8*a - a + 70. Let y(t) = t - 6. Let l(j) = 2*j - 5. Let c(p) = -2*l(p) + 3*y(p). Calculate the smallest common multiple of c(a) and 6.
6
Let p = 447/7 - 2969/42. Suppose 0 = 5*l + r - 130, -14 = 3*l + 2*r - 99. What is the common denominator of p and (84/(-15))/((-1)/(l/(-15)))?
6
Suppose -3*j = 3*x - 1029, 9*j = 14*j - 2*x - 1687. Find the common denominator of (-7)/6*j/63 and -59/4.
36
Let y = -110 - -110. Suppose 4*d - 5*r - 4 = 0, d - 3*r - 1 = -y*r. What is the least common multiple of d and 5?
5
Let s(a) = -a**3 + 10*a**2 - 16*a + 6. Let n be s(7). Suppose 4*q - n + 61 = 0. Find the common denominator of 5/4 and q/(-7) - 1 - (-988)/(-560).
20
Suppose -2*z = -29 - 11. Suppose 4*p = -x + 40, 3*p - 21 = -41*x + 38*x. What is the lowest common multiple of p and z?
220
Suppose -108 + 75 = p. Let h(o) = 64*o - 8. Let j be h(7). Find the common denominator of p and j/96 + 2/(-8).
3
Let m = -6619/908 + 9/227. Let h = 163/33 + -6473/1188. Calculate the common denominator of m and h.
108
Let u = 249 + -244. Suppose 2*n - 4*g + 13 = 3*n, 0 = -2*n - u*g + 32. Calculate the least common multiple of 2 and n.
42
Let v = 83/66 + -34/11. Let r be 4*(42/7)/(-6). Calculate the common denominator of v and 195/50 - 6/r - 5.
30
Let z(r) = r**3 - 2*r**2 + 3*r - 2. Suppose 46 = 4*d + w, 2*d - 3*w + 42 = 6*d. What is the smallest common multiple of 1/(-1) + 1*d + -3 and z(2)?
8
Let a(c) = -2*c**2 - 41*c + 11. Let l be a(-21). Find the common denominator of -103/88 and 2608/(-1760) + 1*(-6)/l.
440
Let i = -3171793/120 + 26432. Let g = 12541/36 - 2779/8. Calculate the common denominator of g and i.
360
Suppose 3*f - 644 = 5*k, 3*f + 141 = 3*k + 777. Calculate the least common multiple of 172 and f.
8944
Let k(p) = -24*p + 2. Let z be k(0). Calculate the smallest common