Suppose -5*l - 5*s + 45 = 0, -l + j*s = -0*s + 11. Calculate the least common multiple of l and 54.
270
Let t = -54563088799/2319888 + -109/773296. Let m = 23523 + t. What is the common denominator of 51/8 and m?
24
Let r(y) = 4*y - 13. Let s be r(7). Calculate the least common multiple of 7 and s*(-2)/(-5 + -5).
21
Find the common denominator of ((-32 - -59)/(-1215))/((-348)/(-910)) and 73/1044.
3132
Let j = 168119/246510 - 2/11205. Calculate the common denominator of j and 49/4345.
8690
Let w = -2118315/14 - -150429. Let b = 2759/28 - w. Let n = -972 + b. Find the common denominator of n and -19/9.
36
What is the smallest common multiple of ((-24)/10)/(435/(-3625)) and 40?
40
Let i be ((-2)/8)/(782/17712776). Let k = i - -5661. Find the common denominator of 4/11 and k.
253
Suppose 124*l - 127*l = -123. Calculate the least common multiple of 9 and l.
369
Suppose 4*c - 84 = -r - 3*r, 0 = -4*r + c + 89. Let d be 1/2*(-22 + 2). What is the lowest common multiple of r and d/(-15) - 416/(-6)?
770
Suppose 364*s = 70380 + 35900 + 242068. What is the least common multiple of s and 609?
6699
Let f = 87683 + -12100129/138. Calculate the common denominator of 103/92 and f.
276
Let m = 185664/18655 - 915/91. Let y = -7717/4715 + m. Let z = 655 - 4586/7. Calculate the common denominator of y and z.
161
Let x = 146/63 - 8329/3591. Find the common denominator of x and -145/342.
1026
Calculate the smallest common multiple of 6162 and -2 + 48/15 - 4248/(-885).
6162
Calculate the common denominator of -48/305 and ((-67)/(-4))/(-16 + 27 + 198/(-8)).
3355
Suppose 21*w - 18324 = 9*w. Let f = 597 - w. What is the common denominator of -3/16 and (2/(-8))/(85/f)?
272
Let f = 2046 + -24583/12. Calculate the common denominator of f and -69/208.
624
Let i(u) = -39 + 163*u + 22 + 34*u + 15. Let d be i(1). Calculate the common denominator of d/(-26)*10/54 and 157/30.
90
Suppose 0 = 3*w + 3*f - 48, 3*f = 2*w - w - 24. Suppose -2*h + 5*h = -3*m + 12, 4*h - 5*m = 7. Calculate the smallest common multiple of w and (-3 - -5) + 27/h.
198
Let k(i) = 5*i - 40. Let w be k(-16). Let y = w - -129. Calculate the lowest common multiple of 9 and y.
9
Let g = 1092 + 219. What is the smallest common multiple of g and 513?
11799
Suppose -3*z = -12, -2*n + 121*z - 123*z = -32. Suppose i - 4 = l, -i = 4*i - 2*l - 26. Calculate the smallest common multiple of i and n.
12
Let g = 2330/53 - 279704/6413. Calculate the common denominator of g and -41/396.
4356
Suppose -8*d - 3*d + 174 = -24. Let x = -42 + 89. Let n = -33 + x. Calculate the lowest common multiple of d and n.
126
Let s = 49 - 251/5. Suppose 2*f + 28 = -2*j, 16*f + 2*j = 20*f + 56. What is the common denominator of ((-1)/(4/f))/(22/(-32)) and s?
55
Let x(h) = -6*h**3 - 2*h**2 - 2. Suppose -2*b - 23 = 3*q - 2, b + 4*q + 23 = 0. Let y be x(b). Calculate the common denominator of 50/11 and y/12 + 3*7/(-63).
22
Let v = -1705299/118 - -14452. Let l = -98021/5228 - 1/1307. Find the common denominator of l and v.
236
What is the common denominator of 143/6 and 2 + -15 - 4979/(-384)?
384
Let y(g) be the second derivative of -g**3/3 - 5*g**2 - 94*g. Calculate the smallest common multiple of y(-15) and 40.
40
Let r(u) = -u**2 + 92*u - 80. What is the smallest common multiple of r(40) and 80?
2000
Suppose -4*x = d - 3219, 3*d = 5*x - 0*d - 4045. Find the common denominator of 27/20 and ((-1)/2)/(65/x).
20
Suppose 5*d - 9*d - v + 85 = 0, -2*d + 20 = -4*v. Suppose 5*y = -3*r + 26, 0 = 2*r + r + 2*y - 32. Calculate the smallest common multiple of d and r.
60
Let t(n) = n**3 - 5*n**2 - 3*n + 15. Let o be t(5). Suppose o = 5*g - 20 - 20. Calculate the least common multiple of 32 and g - (-3 - 2*(-10)/4).
96
Let w(d) = -3*d**2 + 2. Let z(i) = -13*i**2 - 7*i. Let r(p) = -4*w(p) + z(p). Let u = -11 + 7. What is the lowest common multiple of r(u) and 28?
28
Let m = 184 + -96. What is the lowest common multiple of m and (-60)/(-48)*((-8)/(-16) - 589/(-38))?
440
Let c(a) = 577*a**2 - 575*a**2 + 9*a + 10 + 1. Suppose -3*o + 5 = 4*v, 6*o - 4*o = -2*v. What is the lowest common multiple of c(o) and 44?
176
Calculate the common denominator of (-1262)/(-180) + 1 + 64/(-576) and (7/117)/(-7*24/(-441)).
1560
Let n(o) = -19 - 3*o**2 - 205*o + 106*o + 67*o. What is the common denominator of n(-9) and -26/7?
7
Let s = -49653158 - -12909794363/260. Let f = 1356/13 + s. Let t = 9117/4 - 2266. Find the common denominator of f and t.
20
Let m(d) = 29*d**3 - 2*d**2 + 9. Let r be m(4). Suppose -26*c = -r + 689. Calculate the least common multiple of c and 66.
132
Suppose -9*k + 2180 = -7. Let p = k + -955/4. What is the common denominator of -113/6 and p?
12
Suppose 7*f - q = 26895, -5*q - 27 + 22 = 0. What is the least common multiple of f and 8?
15368
Let j = 3414261/46143200 + -14/57679. Find the common denominator of 76/15 and j.
2400
Let o = -62042 + 8375633/135. What is the common denominator of 2/(20/34) - 3 - 59213/27720 and o?
1080
Let b be 4/12 + (-15213)/9. Let c = 5026/3 + b. What is the common denominator of c and -169/60?
60
Find the common denominator of (31/3)/((-20)/(-12))*2 and -1 + 14*(-23)/(-370).
185
Calculate the lowest common multiple of 92/8 + 3 - 4*12/96 and 952.
952
Suppose -4*d = -3*d - 2. Let q(v) = v**2 - v + 5. Suppose 4*u - 285 = -u. Calculate the smallest common multiple of u and q(d).
399
Let g(s) = s**2 - 65*s + 909. What is the lowest common multiple of 45 and g(45)?
45
Suppose 34*m - 37*m - 20 = -86. Let r(s) = s + 6. What is the smallest common multiple of m and r(14)?
220
Let l = -42 + 56. Suppose 0 = 4*o + 4*k - 0*k + 4, o - 4*k = l. Suppose -5*c = t - c - o, 2*t - 5*c = 56. Calculate the lowest common multiple of t and 14.
126
Let c = 12089723/96 + -125936. Let w = 4109063/9 - 456565. Find the common denominator of w and c.
288
Let l = -251543/21 - -11976. Let z = -395/14 + 11141/378. Calculate the common denominator of l and z.
189
Let s(m) be the first derivative of m**2 + 6*m + 4. Suppose -5*o + 53 - 3 = 0. What is the smallest common multiple of s(0) and o?
30
Let r = 962437/323088 + 2/6731. What is the common denominator of -107/90 and r?
720
Let w = -241 + 254. Let j(u) be the second derivative of 4*u**3/3 + u**2/2 + 2*u. Calculate the smallest common multiple of w and j(1).
117
Let q = 14078 + -13286. Calculate the lowest common multiple of 36 and q.
792
Let v(z) = 1239*z**2 + 3*z - 5. Let u be v(2). Let b = 104056/21 - u. Let a = 2794/513 + -1/513. What is the common denominator of a and b?
63
Let p = 1473/16 + -175393/1904. Calculate the common denominator of p and 67/680.
4760
Suppose 2*i - 4 = 0, -7*i + 3*i = m - 6487. Calculate the lowest common multiple of m and 95.
32395
Let h be 177/18 - (-5)/30. Let p be (16/(-20) - -4)/(4/h). Suppose -15*i + 11*i = -p. What is the least common multiple of 6 and i?
6
Suppose 0 = -17*b + 1191 + 2940. Let y = -242 + b. Calculate the least common multiple of 11 and y.
11
Let r(a) = 3*a**3 + 4*a**2 - a - 1. Let n be r(-4). Let k be n/(-35) + 16/(-28). What is the lowest common multiple of 42 and (k/(-9)*-16)/((-9)/(-27))?
336
Suppose 0 = 94*x + 249*x - 558240 - 1247312. What is the smallest common multiple of x and 64?
21056
Let a = -3 + 2. Find the common denominator of a*(1 + -2)*140/(-588) and 5/((-240)/(-44))*-4.
21
Suppose -13*k = -17*k - 59*k + 22932. What is the least common multiple of 70 and k?
1820
Suppose 4*w + 221 = 4*o + 7*w, 144 = 3*o - 5*w. Let q = 128 - o. What is the least common multiple of q and ((-6)/9)/(1/(-9))?
150
Suppose 491*p - 20871 - 26265 = 0. Calculate the least common multiple of 48 and p.
96
Let o = 52611469/12049617850 - 105/457291. Calculate the common denominator of -107/14 and o.
184450
Let w be (-186)/(-108)*22804/(-3). Let t = 13089 + w. Let f = -249977/33708 + -2/2809. Find the common denominator of f and t.
108
Suppose -4*r + 774 = -422. What is the common denominator of 10 - r/24 - (-1 - -1) and -113/66?
264
Let y(r) = -r - r**2 - 4 - 4 - 2*r + 2*r**2. Suppose 15*a - 1 = 104. What is the lowest common multiple of y(a) and 6?
60
Let s = 50 + -50. Suppose -13*f + 9*f + 8 = s. Suppose -3*d + 92 = -5*j, 5*d - f*j - 116 = -3*j. What is the lowest common multiple of d and 27?
216
Let w = -648 + 554. Let h = -82 - w. Calculate the least common m