
140
Let q = 151 + -53. Suppose -q - 13 = -3*i - 3*m, 2*m = 8. Calculate the lowest common multiple of i and 18.
198
Let n = 36976/11 + -3366. Let l = 737/13 - 19869/364. Find the common denominator of n and l.
308
Let c be -1*(10/(-35) - 5797/21). Let m = 3443/12 - c. Calculate the common denominator of m and 39/4.
12
Let p = -18196 - -1000748/55. Let s = -5/27 - -662/27. Find the common denominator of s and p.
165
Let t(y) be the second derivative of y**4/12 + 2*y**3/3 + 15*y**2/2 + 5657*y. Let v = 0 - 0. Calculate the least common multiple of 33 and t(v).
165
Let u = -71 - -75. Suppose 4*g = q + 17793, -6*g + u*q + 22244 = -g. Let x = g - 89003/20. Calculate the common denominator of x and 95/12.
60
Let q = 179 + -177. Find the common denominator of 3/5 and q - 2 - 90/102.
85
Let i(s) = s**2 - 2*s - 10. Let r be i(8). Let k = 3451/890 + -176/89. Find the common denominator of (r/5)/(32/(-15)) and k.
80
Let y be (-3)/(-2)*(-32)/(-12). Suppose 249 = y*p + 41. Let q = p + -25. Calculate the lowest common multiple of q and 6.
54
Let v = -387/230 + -51/23. What is the common denominator of -181/90 and v?
90
Suppose 92875*c - 92874*c = 546. Calculate the least common multiple of 156 and c.
1092
Suppose -a - 3*l = -8*l - 165, -2*l = 3*a - 495. Let y = -2809 - -22505/8. What is the common denominator of y and 2 + 1 - 2277/a?
40
Suppose -4*u = 9*j - 6*j - 43, -3*u - 36 = -j. Calculate the lowest common multiple of 510 and j.
3570
Let l(h) = h**2 - h - 2. Let c(m) = 35*m**2 - 29*m - 32. Calculate the lowest common multiple of c(-1) and l(-5).
224
Let d(b) = -12*b - 6. Let p = 151/173 - 23431/4844. Let n = -1943/84 - p. Calculate the common denominator of d(-4) and n.
6
Let n = 348 + -642. Let x = n - -318. Calculate the lowest common multiple of x and 18.
72
Suppose 8*v - 7*v - 2*s - 5 = 0, 4*s + 1 = -v. Suppose v*p - 142 = 2*n - 34, p + 244 = -4*n. Find the common denominator of -58*5/n + -1 and -35/6.
6
Suppose 0 = -2*b + 4*k + 264, 8*b - 12*b + 5*k = -540. What is the smallest common multiple of 140 and b?
140
Suppose -13*w - 24*w - 12*w = -22295. Calculate the lowest common multiple of 1001 and w.
5005
Let r = -8 - -12. Suppose -20 = -r*l, 4*b - 4*l - 40 = -0*l. What is the least common multiple of b and 8/5*(2475/(-60))/(-11)?
30
Let j = 7537/6 - 983. Let w = 8851/33 - j. Find the common denominator of -45/16 and w.
176
Let v(m) = -14*m + 13. Let x be v(1). Let r(a) = -2*a**2 - a - 3. Let s be r(0). Calculate the common denominator of (-5)/60*-242*x/s and 16/51.
306
Find the common denominator of -64/2907 and 3 + -2 + (7 - 160342/20007).
26163
Find the common denominator of 131/180 and 4 + (-1014)/9*2/80.
180
What is the common denominator of -3*(-6 + 21069/3591) and 3 + 51/(-18) - (-1246)/4788?
1197
Let l = 48 - 46. Suppose -t - 2*t - 5*p - 255 = 0, -l*t = 3*p + 169. Let k = -70 - t. Calculate the lowest common multiple of 7 and k.
70
Let u = 75 - 132. Let p = u - -93. What is the least common multiple of p and 6?
36
Let l = 104 + -108. Find the common denominator of 52/7 and 38/l + 25/75.
42
Suppose w = 2*x + 4*w - 30, 2*w = -x + 15. Suppose -x*u + 2345 + 250 = 0. Calculate the least common multiple of 11 and u.
1903
What is the common denominator of -77/38 and ((-456)/(-665))/(6/15)?
266
Let q = 2402753/18 + -133519. Let l = q - -937/30. Find the common denominator of 11/135 and l.
135
Suppose -3*d + 412 = 4*z, 4*z + 323 = 3*d - 105. What is the smallest common multiple of 896 and d?
4480
Let u(h) = -856*h + 1877. Let l(z) = -75*z + 2. Calculate the smallest common multiple of l(-1) and u(2).
1155
Let r(j) = 41*j**2 + 5*j - 5. Let p be r(2). Suppose 569 + p = 9*m. What is the smallest common multiple of m and 18?
738
Suppose 142*i - 4752 = 34*i. What is the smallest common multiple of i and 22?
44
Let k be (-4)/26 - (-36524)/299. Let a = 160 - k. Find the common denominator of ((-2)/(-8))/(9/(-188)) and a.
9
Let w(r) = -24*r - 36. Let n be w(-2). Let m = 40 - n. What is the lowest common multiple of m and 56?
56
Let j(w) = w**2. Suppose 0 = 5*n - 11 + 31. Suppose 2*v + 47*f - 42*f = -31, 5*f + 23 = -6*v. Calculate the smallest common multiple of j(n) and v.
16
What is the smallest common multiple of ((-36)/7)/((-72)/3276) and 78?
234
Calculate the lowest common multiple of ((-1536)/80)/((-2)/552*(-54)/(-60)) and 1.
5888
Let x = 2730 + -2700. What is the smallest common multiple of x and 279?
2790
Let n = -6 - -50. Suppose d - 46 = -n. Suppose -3*s - 4*u + 38 = 0, d*s - 4*s - u + 17 = 0. Calculate the lowest common multiple of s and 18.
18
Let s = -365 - -161. Find the common denominator of (-1632)/(-1672) + 4/22 + 0 and 1/(-7)*2*(-12257)/s.
114
Calculate the common denominator of -47/52 and (-1 + 4 + (-80)/26)*(-4606)/(-14896).
1976
Let r = -2/104211 - 1632587/2709486. What is the common denominator of r and 35/286?
858
Let q = 17 - 6. Let f(x) = -10*x - 62. Let g(m) = -m - 1. Let u(i) = -f(i) + 5*g(i). What is the lowest common multiple of u(-9) and q?
132
Let f be (-1*58009/(-14))/(2/4). Let v = 331441/40 - f. What is the common denominator of 8/55 and v?
440
Let t be (105/45)/((-7)/21). Find the common denominator of (20/6)/((-44)/63) and 321/42 + 6/(-13 - t).
154
Let o = 13448 + 972. Let l = o - 922839/64. Calculate the common denominator of l and -95/16.
64
Let y = 1 + 15. Suppose y = 2*h + 3*i, 5*i + 31 = 4*h - 45. Suppose 56 = 5*q - 2*x, 0 = -6*q + 2*q + 5*x + 55. Calculate the lowest common multiple of q and h.
70
Let a = -18673784551/38714144 + 8871/864155. Let q = a + 3371/7. Find the common denominator of 21/16 and q.
160
Suppose -2*z = 2*r - z - 163, 0 = -2*z - 10. Let t = r - 81. Suppose -t*a - 8*a = -11. Calculate the lowest common multiple of 5 and a.
5
What is the least common multiple of 240 and (212/(-10) + 2)/(44/(-110))?
240
Suppose -4*k + 4*s + 92 = 8, k = -4*s + 26. Suppose 127*n + 90*n - 7161 = 0. Calculate the smallest common multiple of n and k.
66
Calculate the common denominator of ((-4)/1710)/(168/(-3066)) and -9/35.
11970
Let g(t) = 43*t + 1715. Let j be g(-59). Let b be 0/1 + (-14810)/(-18). Let a = j + b. Calculate the common denominator of a and 53/2.
18
Let i(f) = -f**3 + f**2 + 78*f - 250. Let y(n) = n**2 + 2*n - 4. Calculate the smallest common multiple of y(-6) and i(7).
20
Let l(s) = 2*s + 12. Let v be l(-8). Let p be (-23)/3 - v/6. Find the common denominator of 67/16 and 1/p*180/16.
112
Suppose -3*z + 105 = 46 - 190. What is the lowest common multiple of z and (-2)/4 + 19/2?
747
Let c = 19664 - 15573773/792. What is the common denominator of -107/528 and c?
1584
Calculate the common denominator of 344/80 + (-7)/(-14) and 3/((-297)/144) - 2*1.
55
Let v = 9937 - 9797. Calculate the least common multiple of 1120 and v.
1120
Let w(v) = -56*v + 4386. Let y be w(78). Suppose j + 11 = 155. Find the common denominator of 5/3 and (-2)/y*-3 - (-1158)/j.
24
Suppose 2*d = -3*q + 708, 3*q - 21 = -d + 333. Let o = 386 - d. Calculate the least common multiple of o and 72.
288
Let c = -25 + 35. Let a(w) = w**3 + 9*w**2 + w + 7. Let z be a(-9). What is the least common multiple of 4 and (c/5 - -42)*(-1)/z?
44
Let y(v) = -5*v + 21. Let n be y(5). What is the common denominator of (-847)/(-660) - (1 + n/5) and (-2)/24*(-4 - 152/(-18))?
108
Suppose -6*t + 8 = -4*t. Suppose -3*c - t*l + 196 = 0, -288 = -5*c - 0*c + 3*l. What is the least common multiple of 45 and c?
180
Suppose 2*p - 2 = j, -2 = 2*p - 4*p - 2*j. Calculate the lowest common multiple of p and 243.
243
Let f be (-2)/18 + 1 + (-242)/9. Find the common denominator of -17/6 and (f/(-30))/(-4 + 40/8).
30
Suppose 4*g - 178 = 2*h + 98, 4*h - 218 = -3*g. Let u = 86 - g. Calculate the smallest common multiple of 1/5 - 58/(-10) and u.
48
Let i = 56800 + -24991951/440. What is the common denominator of -39/16 and i?
880
Let p(q) = 18*q - 894. What is the smallest common multiple of p(75) and 684?
1368
Let h = -1/5827 - 367079/128194. Find the common denominator of h and 26.
22
Suppose -5*h + 52 = c, -c = -5*h - 1 - 61. Let i = 203 + -197. Calculate the lowest common multiple of c and i.
114
Let a = 4/1363 - -121259/16356. What is the common denominator of 59/75 and a?
300
Let z = 8067/2 - 1234333/306. What is the common denominator of z and 8/255?
765
Let x = -3145 