f s and (-111)/(-15)*3/v.
30
Let u(j) = -9*j + 8. Let a be u(0). Suppose 16*h = a*h + 80. Suppose -194 + 54 = -h*p. What is the lowest common multiple of 58 and p?
406
Let l = 958 - 778. Suppose 87 + 3 = 6*v. Calculate the lowest common multiple of l and v.
180
Let i be ((-825749)/147 - 0) + 0/50. Let m = -5617 - i. Calculate the common denominator of m and 74/33.
1617
Let m(z) = z**2 + 6*z - 2. Let k be m(-7). Suppose -18 - 42 = -k*x. Let p = -33391 + 33411. Calculate the least common multiple of p and x.
60
Let c(z) = z**3 - 19*z**2 - 19*z - 22. Let u be c(20). What is the lowest common multiple of 6/((-24)/18 - u) and 27?
27
Suppose 25*o + 36*o = 27694. Let c = o - 105. Calculate the least common multiple of 7 and c.
2443
Let d = -6076 + 6088. Calculate the smallest common multiple of 3492 and d.
3492
Suppose 4*f + 32 = 888. Suppose -481*n + 429 = -433*n + 93. What is the lowest common multiple of f and n?
1498
Suppose 24 = 2*t + 3*f - f, -2*f + 54 = 4*t. Suppose 14*a - 19*a - t = 0. Calculate the common denominator of (428/(-12))/(56/a) and 53/4.
56
Let l = 2548815450 - 137640955405/54. Let o = l + 91129. Find the common denominator of -103/66 and o.
594
Calculate the lowest common multiple of 2 and 4 + (-4565)/(-44) - 10/(-8).
218
Suppose -3*d - 181 = 5*r, 0*r + 253 = -4*d + 5*r. Let c = d - -59. What is the common denominator of -103/12 and -37*((-2)/(-120))/(c/6)?
60
Suppose -106*y + 57*y = -73*y + 40320. What is the lowest common multiple of y and 1680?
1680
Suppose 2*t + 70 = 4*b + 22, 4*t = -8. Suppose 5*m + 19 = -3*l + 32, -m = -5*l + 3. What is the least common multiple of b and l?
11
Let z be (-78)/(-10) + 8/(-10). Suppose 0 = -10*l + z*l + 36. Calculate the lowest common multiple of (-70)/(-21) + 4/6 and l.
12
Suppose -15*y - 88 = -140 - 1298. What is the lowest common multiple of y and 105?
630
Suppose 40*j - 5*a = 42*j - 40, 0 = 2*a + 8. Calculate the lowest common multiple of j and 135.
270
Suppose -2*l - 3*b + 7 - 21 = 0, 0 = 4*l - b + 28. What is the common denominator of (47/(-2) - -5)/l and (-2)/(-5)*89/(-8)?
140
Let u(p) = p**3 + p**2 + 8*p + 2. Let r be u(-7). Let i = -1031/3 - r. What is the common denominator of i and 5/(-30)*(-376)/(-36)?
27
Let y = 5400 - 11000. What is the common denominator of (4/18)/(y/(-360)) and 109/70?
70
Suppose 136*a = 2572 + 13748. Calculate the smallest common multiple of 210 and a.
840
What is the common denominator of ((1 - -171)*(-14)/84)/(42 + -50) and -25/246?
492
Let p = 2981/8 + -1521/4. Let z be (1 + -7 + 0)/(-14 - -16). Calculate the common denominator of p and z/(6*-3) - (-623)/231.
88
Suppose m - 2*i + 22 = 4*m, 32 = 5*m + i. Suppose -6*c + 5*j = -7*c - 26, -5*c - 2*j = 15. Let s = 25 - c. Calculate the lowest common multiple of m and s.
78
Let b be 195788/(-2)*(-2)/120. Let w = -4862/3 + b. Let p = -11379/386 - 4/193. Find the common denominator of w and p.
10
Let z(m) = -2*m + 2. Let l(c) = 37*c + 335. Let s(b) = -l(b) + 3*z(b). What is the lowest common multiple of s(-8) and 15?
15
Suppose -3*m + 37 = -22*c + 17*c, 4*m + 5*c + 9 = 0. Let p = 132 - 60. Suppose 0*v + 18 = h + v, m*h = v + p. What is the least common multiple of h and 14?
126
Let f = -396 + 418. Find the common denominator of 113/10 and (2/(-12*f))/((-150)/1566).
1100
Suppose -3 - 18 = -g. Let a = -382 - -480. Let l = -65 + a. Calculate the lowest common multiple of g and l.
231
Let c = 22 - 17. Suppose 2*x + 4*b = 58, -3*x + 7*x - c*b = 103. Let s = x + -16. Calculate the smallest common multiple of s and 12.
132
Suppose 3*q - 422 - 706 = 0. Let u be q/(-24) - 2/(3*2). Calculate the common denominator of -107/22 and (-8)/(-2) + 18/u*-14.
44
Let h(j) = 2*j**2 + 41*j + 24. Let q be h(-20). Suppose 0 = -10*l - q*l + 140. Calculate the smallest common multiple of l and 23.
230
Let p = 466223/22 + -21197. Let f = -12/23 + -100/161. Calculate the common denominator of f and p.
154
Let a = 131 - 62. Suppose 0 = -5*n - 31*n + 540. Suppose 6*v - a - n = 0. What is the least common multiple of 12 and v?
84
Suppose 70*c - 2*q = 73*c - 105, c + 3*q = 42. Calculate the least common multiple of c and 1683.
1683
Suppose -4 = 5*t - q - 38, 0 = 4*t - 2*q - 32. Let z be (1836/16)/9 - t/8. Calculate the common denominator of (-161)/z - (2 + -3) - 0 and 137/12.
12
Suppose -2*w = -380*s + 376*s + 3168, 0 = -3*s - w + 2376. Calculate the smallest common multiple of 18 and s.
792
Suppose 0 = -42*y + 31*y + 968. Suppose -20*j + 268 - y = 0. What is the lowest common multiple of j and 48?
144
Let a = -3 + -16. Let w = -13 - a. Let c = -110 + 167. What is the least common multiple of w and c?
114
Let x = 4613 + -4558. What is the least common multiple of 5 and x?
55
Suppose -112 - 73 = -2*d - i, -3*d + 277 = i. What is the least common multiple of (-7)/(-2)*(-936)/(-273) and d?
276
Let u = 114237/4 + -2313308/81. Find the common denominator of 71/1566 and u.
9396
Suppose -21*i + 2618 = -28*i. What is the common denominator of (-6)/360*i - 3 and 20/5 - 100/66?
330
Suppose 0*q + q - 156 = -144. What is the smallest common multiple of q and 1950?
3900
Let z = 2853061/165 - 17291. Find the common denominator of z and -94/825.
825
Calculate the common denominator of 50/(-12) + (2 - 2) and 410/125*((-15)/540)/((-8)/120).
30
Let d be (-2)/12 + 0 - (-319)/(-66). Find the common denominator of 93/28 and (-3)/d - -5*6/120.
140
Let s = 30778 - 26773. Calculate the lowest common multiple of 890 and s.
8010
Suppose 0 = -3*b + 2*c + 1580, -b - 543 = -2*b + 3*c. What is the smallest common multiple of 174 and b?
522
Let c be (-3 - (-5 - 1))*10/6. Find the common denominator of (2563/(-352))/(c/4) - -4 and 31/24.
120
Let l be 4/14 - (-101382)/(-420). Let x be (-497)/(-4)*(18 - 16). Let q = l + x. Find the common denominator of q and -2.
5
Suppose -29*r + 9*r = 4800. Let k = 1/57215 - -125586916/514935. Let j = r + k. What is the common denominator of -79/104 and j?
936
Let m(k) = 90*k + 843. Calculate the smallest common multiple of 153 and m(-9).
1683
Let m = -65657/2413 + 473/19. Let y = m + 21083/6858. Find the common denominator of -167/90 and y.
270
Suppose 4*x + 23906105 = -i - 32697718, -i + 70754781 = -5*x. Let s = x + 12353778727/873. Let q = s + 80/97. Calculate the common denominator of -46/5 and q.
45
Let f = 424 + -235. Let k = -173 + f. Calculate the smallest common multiple of k and 24.
48
Let c(t) = 6*t - 70. Let j be c(-19). Let k = 211 + j. Calculate the smallest common multiple of k and 54.
54
Let o = 173/84 - -13/7. What is the common denominator of 146/264 - (15 - (-195)/(-12)) and o?
132
Let a = 11 + -8. Let n = a - 0. Suppose 181*x - 1134 - 1192 = -154. Calculate the smallest common multiple of n and x.
12
Let y = -35 - -41. What is the common denominator of y/(-8) + (-16)/(-96) and -77/12?
12
Let j = 25 - 28. Calculate the least common multiple of 0 - -3 - (-22 + (11 - 4)) and (-40)/(-4) + (j - -2).
18
Suppose 242*s - 702510 - 154170 = 0. Calculate the least common multiple of s and 1770.
3540
Let z be (-40292)/(-10) - 5/25. Suppose -z = -41*k + 44*k. Let s = -14798/11 - k. What is the common denominator of s and -151/6?
66
Let u = 4182 + -816. What is the smallest common multiple of 198 and u?
3366
Suppose 191*d = 117*d + 14208. Calculate the smallest common multiple of 3168 and d.
6336
Let g = 4477/2 - 6775/3. What is the common denominator of 67/7206 and g?
7206
Suppose -5*i + 0 + 25 = 0. Suppose 4*b - 1529 = -i*p, 5*p - 2*b - 1522 = b. Let v = -5513/18 + p. What is the common denominator of -59/142 and v?
1278
What is the common denominator of 97/22 and (12/2178*237)/(-2*(-27 - -1))?
3146
Let n = 125719/63 - 30635/7. Let m(w) = -1204*w + 30. Let x be m(2). Let z = n - x. What is the common denominator of z and 26/15?
45
Let a = 48 + -42. Suppose -2*m + a + 14 = 4*y, -2*m + 18 = 5*y. Calculate the common denominator of -47/11 and 0 + (23 + -3)*1/m.
77
Let f(d) be the second derivative of -d**3/2 - 15*d**2/2 + 3*d + 6. Let l = -28 + 17. Calculate the least common multiple of f(l) and 44.
396
Calculate the least common multiple of 1755 and 1 - 15 - (171 - 190).
1755
Let k(x) = -362*x + 1170. Calculate the least common multiple of k(3) and 1176.
1176
Let w = 435 + -360. Calculate the smallest common multiple of w and 159.
39