n multiple of q and u?
180
Let i be (-85434)/(-17604) - 0/7. Let a = i + 196/163. Find the common denominator of a and 17/12*(-16)/(-6).
18
Let u be 5/(-27)*3143/791. Let v = 12/113 + u. What is the common denominator of 0 + (-47)/51 + 1 and v?
459
Let s(r) = -13*r**3 + 7*r**2 - 6*r - 12. Let m(q) = 7*q**3 - 4*q**2 + 3*q + 6. Let y(k) = -11*m(k) - 6*s(k). Calculate the lowest common multiple of 1 and y(0).
6
Suppose 14*s - 1 = 433. What is the common denominator of s/(-6)*(6 + (-130)/20) and -83/10?
60
Let o = 2914 + -2902. Calculate the least common multiple of 1683 and o.
6732
Let u = -931690 + 842247855/904. Find the common denominator of -71/24 and u.
2712
Let r be 0 - (0 + 1 + -1 + -3). Suppose 0 = -r*w + w + 16. What is the smallest common multiple of 6 and w/(-24) + 110/6?
18
Let d = 31502/7 + -4497. Find the common denominator of -59/16 and d.
112
Let r(h) = 16*h + 117. Let i(s) = -5*s - 39. Let t(y) = -8*i(y) - 3*r(y). What is the smallest common multiple of t(-6) and (-3 + (-63)/28)/((-1)/4)?
63
Let t(u) = -u**3 + 12*u**2 + 20*u + 9. Let d be t(14). Let a = 106 + d. Calculate the smallest common multiple of 102 and a.
102
Let f = 947400 - 1506365821/1590. Find the common denominator of f and 25/231.
122430
Let h(w) = -w**3 + 15*w + 137. What is the smallest common multiple of 32 and h(6)?
352
Let j(u) = 4*u**3 - u**2 + 5*u + 2. What is the lowest common multiple of 140 and j(2)?
280
Let d(s) = s**3 + 21*s**2 - 3. Let j be d(-21). What is the least common multiple of j*(-51)/2*4 and 8?
1224
Find the common denominator of (-3 + -59)*2/90 and -3 - -102*(-4)/(-110).
495
Let q = -1072091/12 + 89329. Let h = -1102715/44 + 75187/3. Calculate the common denominator of q and h.
132
Let l = -11414059/8382 - -44932/33. What is the common denominator of l and 83/21?
5334
Let r = 193 - 195. What is the least common multiple of (r/(-4))/((-6)/((-144)/3)) and 48?
48
Suppose 0 = 3*n + 15, 4*u + 2*n + 0*n = 122. Let t(a) = -a**3 - 8*a**2 + 232*a - 142. What is the least common multiple of u and t(-20)?
198
Let r be (3/2 - -1)/((-20)/(-16)). Suppose r*s + 2*j - 2 = -14, 4*s + 24 = 4*j. Find the common denominator of s and (-2)/(-9) + (-4)/(-9).
3
Let t = -990444719/36 - -27510409. Let b = 7753/4 + t. Find the common denominator of 1*452/(-48) - 1 and b.
36
Let s = 43 + -40. Suppose 0 = j + s*w - 24, 0 = -2*j - 2*w - 13 + 53. What is the least common multiple of j and 144?
144
Let q = 4781 + -4747. Suppose -4*p = -i - 0*i + 25, -3*i = -4*p - 35. What is the smallest common multiple of i and q?
170
Let h = -35 + 65. Suppose w = -j - 3, -5 = -3*w + 3*j + 4. Suppose -73*l + 51*l + 462 = w. What is the smallest common multiple of l and h?
210
Let u = 20768 + -20700. Suppose 4*l = 17 + 3. What is the least common multiple of l and u?
340
Calculate the lowest common multiple of -2 + (-10038)/(-11) + (-132)/242 and 2080.
14560
Let j = 6272056913/1587536 - -10/99221. Let t = j - 3949. Let b = 6/1105 - -96123/2210. Find the common denominator of b and t.
16
Let v be 3569/(-18) + 9/18. Let b = v + 16981/90. Calculate the common denominator of b and 7/((-35)/2) - -1.
10
Let y = 24587/8 - 3069. Calculate the common denominator of 146/48 - (-630)/(-504) and y.
24
Suppose -3*l - 47 + 4 = 5*j, 5*l + 15 = 3*j. What is the common denominator of -139/18 and ((-5)/(-2000))/(l/6248) + 3?
900
Suppose 4*n + 1456 = 5*a, a - 296 = 92*n - 90*n. Calculate the smallest common multiple of a and 72.
288
Let i = 2/2387 - -128708/226765. Find the common denominator of i and -42.
95
Let q = 5210 + -3828. What is the lowest common multiple of q and 2?
1382
Let h = -24/91 + -2771/3640. Let r(z) = -z - 3. Let s be r(-2). Find the common denominator of ((-387)/2580)/(((-18)/292)/s) and h.
120
Suppose -3*k + 16 = -4*v, -2*k = k + 3*v - 51. Calculate the smallest common multiple of 8/(32/84) - 3 and k.
36
Let u = 421044/5 + -81682459/970. What is the common denominator of -109/970 and u?
970
What is the least common multiple of 24 and 1*(-12)/9*-450?
600
Let d be 53294/18 - (304/(-72) + 4). Find the common denominator of (2/(-9))/((-140)/d) and -39/100.
100
Let r be 2114/(3 + -3 - 1). Let i = -50767/24 - r. Find the common denominator of i and -59/140.
840
Let p = -9/533 + 8070/383227. Let l = 15231/31636 - p. Calculate the common denominator of l and 27/2.
44
Calculate the least common multiple of 131 and (10/(-6))/(600/(-5760)).
2096
Find the common denominator of 304/(-16112)*(25/(-12) - 1/4) and -31/54.
2862
Find the common denominator of 103/68 and 256 - 248 - ((-38)/3 - 1).
204
Let i(d) = -37*d + 55. Let w be i(-8). Suppose 5*f = -0*f + g + w, -3*g - 3 = 0. Let a = -60 + f. Calculate the smallest common multiple of a and 44.
220
Let t be 2892/5952 - (0 - -3 - 3). Let i = -3/62 + t. Calculate the common denominator of -57/118 and i.
944
Suppose -249*o + 5460 = -243*o. Calculate the lowest common multiple of 560 and o.
7280
Let w(l) = -l - 1. Let p(h) = -4*h + 5. Let t(i) = -p(i) + 5*w(i). Let v be t(-7). Calculate the common denominator of (-63)/(-24) - (-3)/v and 31/13.
104
Let z(w) = w**3 - 16*w**2 + 3*w - 26. Let o be z(16). What is the common denominator of -76/9 and (42/(-196))/(-1 - o/(-16))?
63
What is the least common multiple of 90/(-25)*(-17600)/132 and 80?
480
Let w(f) = -f**3 - 9*f**2 - 155*f - 1646. What is the least common multiple of w(-10) and 268?
268
Let m be 2/(-2) + (3 - 2). Let g = -5 + 320. Suppose m = -2*n + 5*o + 223, o + g = 3*n - 0*o. What is the lowest common multiple of n and 10?
520
Let s = 176221589/486 + -362596. Calculate the common denominator of s and 89/36.
972
Let z = -98173/10 + 9815. Find the common denominator of z and -127/4782.
23910
Let y(f) = -18*f**2 + 5*f - 2. Let l be y(3). Let k = l - -273. What is the smallest common multiple of k and (-387)/43*84/(-54)?
868
Let s be -2 + 18/7 - 16888784/20328. Let m = 135923/51 + -31260/17. Let f = s + m. Find the common denominator of f and 47/12.
132
What is the smallest common multiple of ((-1)/(-5))/(1*(-5)/(-195))*15 and 143?
1287
Let m(k) = -k**3 + 8*k**2 - 6*k - 2. Let n be m(8). Let u = n - -62. Calculate the smallest common multiple of 30 and u.
60
Let h = 11380523/38217904 + 2/140507. Find the common denominator of (150/(-4))/(-11 + 24 - 25) and h.
272
Let x = 7/1112 - -54383/16680. Find the common denominator of x and 1 + (-54)/(-130) + -1.
195
Suppose 0 = 2*b + 83 - 161. Suppose 0 = 4*t - x - 24 - b, 0 = -3*t - 5*x + 30. What is the least common multiple of (t + -5)/(-5) - -35 and 7?
231
What is the common denominator of 24/1295 and (-38210)/1689050 - (-20)/830?
14245
Suppose b + 1405 = -2*d, -3*d - 2834 = 2*b - 5*d. Let m = b - -83353/59. Let l = 1953/472 - m. Find the common denominator of l and -38/9.
72
Let w(k) = 1874345*k**2 - 3*k - 1. Let y be w(-2). Let u = -449820269/60 + y. Let i = u - 1145/3. What is the common denominator of -115/14 and i?
140
Suppose 4*c = -t - 49 - 12, 19 = -c - t. Let p = 94 - 95. Calculate the common denominator of -23/12 and (p - (-14)/2)*c/(-45).
60
Let n be (-77531)/(-246) + 2/(-12). Suppose 16*j + 19*j - n = 0. Calculate the least common multiple of 60 and j.
180
Let g be 5 - (3 + -4 - 0). What is the lowest common multiple of 2 and (-114)/(-12) - (21/g - 4)?
10
Let r be 426/(-5)*20/160384*-338. Let p = 288/179 - r. What is the common denominator of p and -23/14?
56
Let c = 188742079/1152 - 491516/3. What is the common denominator of c and -67/18?
1152
Let f(j) = -5*j**2 + 249*j - 186. Calculate the smallest common multiple of f(49) and 680.
680
Suppose -52 = -4*k + q, -5*k + 2*k + 2*q = -44. Suppose 0*x - 1584 = -k*x. Calculate the lowest common multiple of 27 and x.
1188
Suppose -4*s - 4*f = -272, f = 5*s + 89 - 411. What is the common denominator of 71/2 and s/(-95)*(4 + -2)?
38
Suppose -2 = z - 14. What is the smallest common multiple of z and (615/(-2050))/((-3)/420)?
84
Suppose 3*u = x + 386 - 95, 0 = x. Let a = u + -82. Let q(p) = p + 33. Calculate the lowest common multiple of a and q(0).
165
Let f(n) = -27*n + 27. Let g be f(2). Let m = g + 134/5. What is the common denominator of 48/7 and m?
35
Let a be (-256)/(-6)*(45/12 - 0). Let k = a + -156. What is the lowest common multiple of k and 4?
4
Find the common denominator of (39/(-65))/((-18