6
Let l(d) = 5*d**2 - 16*d + 3. Let v be l(3). Suppose v = -5*x + 2*t + 19 + 16, -2*x - 3*t + 14 = 0. What is the smallest common multiple of x and 40?
280
Suppose 0 = -65*d + 30*d + 3920. Let r be (0 - 0)*(2 + -1). Suppose 0 = -7*g - r*g + d. What is the common denominator of g and 39/4?
4
Suppose 5*q - 893 = 3*w, -4*q - 12*w + 15*w = -715. What is the smallest common multiple of q and 112?
9968
Let h = -20 - -36. What is the smallest common multiple of 216 and -1*6/2 + 64/h?
216
Suppose 0 = 5*t - 3262 - 1303. Suppose -1467 = -35*q + t. Calculate the smallest common multiple of 6 and q.
204
Let q be ((-115)/(-2))/5*-2 - -4. What is the least common multiple of 12 and (27 + q)/(2/10)?
120
Suppose -2*r + 68 = 2*b - b, -8 = -2*b. Suppose -r = 2*v - 4*v. Let k(m) = 2*m**2 - 19*m + 31. Calculate the smallest common multiple of k(8) and v.
112
Suppose -9*n = -10*n + 1. Calculate the smallest common multiple of 376 and n.
376
Let n be ((-2353)/40 - 1) + (6 - 3). Let z = n - -489/8. Find the common denominator of z and 58/7.
70
Suppose 3*m - 17 + 14 = 0. Suppose 7*b - m = 6*b. Suppose 0 = -2*k + f + 20, 2*k + 46 = 6*k - 5*f. Calculate the lowest common multiple of b and k.
9
Let c = -774947 - -247337. Let v be 2/(-10) - c/(-200). Let y = -2653 - v. Find the common denominator of y and 89/8.
8
Let x = 52 + -52. Suppose -8*a + 7*a + 360 = x. Suppose 5*f - 23*f + a = 0. What is the smallest common multiple of 6 and f?
60
Let o(j) = j**2 - 29*j - 90. Let m(w) = -w - 1. Let s = -51 + 48. What is the lowest common multiple of m(s) and o(32)?
6
Find the common denominator of 4/30 - (-5317)/95160*-4 and (-12)/(-168) + 2/(-14).
854
Suppose -120*k + 577749 - 278867 = -985118. What is the least common multiple of 4 and k?
10700
Let w(a) = a**2 + 7*a - 47. Let k be w(4). Suppose -12 = -c - c. What is the least common multiple of (-5 - k)/(18/(-27)) and c?
6
Let u = 401 - 375. Suppose -7*n + u*n = 228. Suppose 0*w + 48 = w. What is the smallest common multiple of n and w?
48
Let i = 3441888281/1230 + -2798283. Find the common denominator of i and -105/46.
28290
Suppose -4*x + 217 = l, 20 = 165*x - 160*x. Calculate the smallest common multiple of 21 and l.
1407
Let d be ((-2)/(-16))/((-116)/6332). Let v = 161/29 - d. Calculate the common denominator of v and (-9)/((-693)/119) + -3.
88
Let t(k) = -4*k + 88. Suppose 0 = -2*a - 2*l + 10, 0 = -4*a - 3*l + 5*l + 20. What is the lowest common multiple of t(17) and a?
20
Let f = 117 + 54. Let d = f - 85. What is the least common multiple of 7 and d?
602
Find the common denominator of (1054/5406)/(0 + -7 - -3) and 107/6.
636
Suppose -110 = 2*l + 9*l. Let c(g) = g + 16. Calculate the lowest common multiple of 11 and c(l).
66
Let v be (4 - 18/42) + 4/(-7). Suppose -v*u = w - 2934, -3*u = -2*w + 2332 + 3509. Find the common denominator of 47/5 and 0 + 4/(-18) - 1675/w.
195
Let y = -7272 - -523603/72. What is the common denominator of 85/234 and y?
936
What is the least common multiple of -14 + 184*(-530)/(-80) and 20?
4820
Suppose 84*c - 8061 = 4004 - 977. Calculate the lowest common multiple of 5340 and c.
58740
Suppose -57*l - 74*l + 11004 = 0. Calculate the least common multiple of l and 16.
336
Suppose 0 = -4*l + 5*s + 184, s + 20 = 6*s. What is the least common multiple of 45 and 116/6 - (-34)/l?
180
Suppose -992 = -10*p + 8. Suppose 96*m - p*m + 24 = 0. Calculate the least common multiple of 11 and m.
66
Let f = -135915 + 44852011/330. What is the common denominator of -64/33 and f?
330
What is the smallest common multiple of 45/(-6)*((-992)/80 + -2) and 189?
756
Let o = 263263513/826 + -318721. What is the common denominator of o and 119/590?
4130
What is the common denominator of -85/396 and (-9118)/(-2115)*(-20)/(-96)?
1188
What is the least common multiple of 12 and (-9)/((-468)/75512) + 2/(-13)?
1452
Let o(i) = 90*i**2 + 18*i - 16. Calculate the lowest common multiple of 78 and o(1).
3588
Let f = 46737819/380 + -122994. Find the common denominator of f and -79/44.
4180
Let z = -578221459/1030 - -561380. Find the common denominator of z and 43/721.
7210
Let q = -4006 + 80149/20. Calculate the common denominator of 62/713 - ((-97)/368)/(-1) and q.
1840
Let j = -2790503/1782 + 17222/11. Find the common denominator of -41/81 and j.
162
Suppose 0 = -2*k - 3*k + 5. Let j be 3 - 0/(1 + k). Suppose -j*d + 50 - 14 = 0. Calculate the lowest common multiple of d and 22.
132
Calculate the common denominator of -125/36 and (-7)/(385/15) - ((-194039)/22880)/29.
18720
Let b = -6661519/226 + 29476. Find the common denominator of b and -39/791.
1582
Let p be ((-33)/(-333))/((-1)/(-14 + -4)). Let j = p + -4761/740. What is the common denominator of j and 206/40 + 8/(-8)?
20
Suppose 0 = -5*c + 15 - 0. Suppose 3*y + 30 = c*r, 4*y + 22 = -2*r - 0*r. What is the smallest common multiple of (-90)/y + 1 + (-7)/(-49) and 28?
28
Let g = 513 + -511. Find the common denominator of -55/8 and ((-3)/((-60)/g))/((-56)/145).
112
Suppose -11*a - 43 = 12. Calculate the common denominator of (-12)/3 - ((-21)/(-300) + a) and -79/14.
700
Let l(r) = r**2 - 5*r - 9. Let a be l(5). Let j = a + 16. Suppose -15 = 2*d - j*d. What is the least common multiple of d and 7?
21
Suppose 724 = -41*u - 752. What is the common denominator of (493/(-725))/(u/10) and 89/140?
1260
Suppose -100 = -22*w + 54. Find the common denominator of (-209)/42 + 1/3 and (3/w - 1) + (-12111)/1848.
56
Let i(c) = 77 + c + 92*c**3 + 38*c**2 - 188*c**3 + 38*c + 97*c**3. Calculate the least common multiple of 58 and i(-37).
174
Let q = 38/3201 + 100454/1245189. What is the common denominator of q and -53/7?
2723
Let w be -1*3*(-3)/(-18)*-72. Suppose w*x + 292 = 1264. What is the smallest common multiple of x and 306?
918
Let g(h) = 2*h**2 + 7*h - 6. Suppose 0*k - 2*k + 4*b - 24 = 0, 0 = k + 2*b. What is the lowest common multiple of g(-6) and (240/(-25))/((-399)/(-70) + k)?
96
Let c be (6/(-21))/((-1)/7). Calculate the common denominator of 5067/(-1026) - (c + 12/(-2)) and -47/3.
114
Suppose -5*n + 50 = -0*n. Suppose -18 = 7*u - n*u. Calculate the lowest common multiple of ((-82)/6)/((-7)/21) and u.
246
Suppose -4*p - q + 4*q + 28 = 0, 5*p + q = 16. Suppose 2*b - 4 - p = 0. Let c(z) = 8*z + 4. What is the lowest common multiple of 32 and c(b)?
288
Let l = 2/171 + 8701/1710. Calculate the common denominator of l and -133/36.
180
Suppose 5*a - 71 = -3*m + 3673, -3*a - 1248 = -m. Calculate the least common multiple of 234 and m.
3744
Suppose -5*a + 6 = 2*c, 0*c - 3 = -c + a. Suppose -c*f = -7*f + 216. What is the lowest common multiple of f and 3/((-6)/16) - (-25 + 40/8)?
108
Suppose -4*s + 10 + 2 = 4*k, 3*k = s - 7. Calculate the common denominator of 551/57*(s + -1) and (-4)/(-14) - (-871)/(-84).
12
Suppose -2*s = 2*v - 122, -18*v + 148 = 3*s - 20*v. Calculate the lowest common multiple of s and 120.
1080
Let h = -162968499/286 - -7324800/13. Let m = -6378 - h. Find the common denominator of m and 101/6.
66
Let r = -1 - -3. Suppose -r*m + 2*u = -54, -m = 2*m - 4*u - 83. Suppose 10 = -3*z + 3*w - 8*w, 2*z - 3*w = m. What is the smallest common multiple of 34 and z?
170
Suppose -2*w + 2*y + 12 = -4*w, -2*w - 4*y = 8. Let z = 0 - -6. What is the least common multiple of z and ((-16)/(-10))/(2 - w/(-5))?
12
Suppose -14*t = -17*t + 888. Let f = t - 263. Calculate the least common multiple of f and 24.
264
Suppose -8 = 4*z, -12*z + 11*z = c - 160. Suppose -3*t = -t - c. What is the least common multiple of 9 and t?
81
Let v be (252/(-35))/(3/(-90)). Suppose 13*l + 34 = v. Calculate the smallest common multiple of l and 4.
28
Let o = 242 - 250. What is the common denominator of 145/18 and ((-17)/(-85))/(o/530)?
36
Suppose 91*u - 1130 = 53. Calculate the lowest common multiple of 195 and u.
195
Calculate the lowest common multiple of 652 and (4/2)/(8*15/720).
1956
Let v(i) = i + 13. Let a be v(-5). Suppose a*k + k = 18. Suppose -q = -5*q + 2*j + 446, -3*q + k*j = -332. What is the lowest common multiple of 8 and q?
456
Let x = 2358/355 + -20663/3408. What is the common denominator of -127/420 and x?
1680
Suppose -7*h - 361970 = -0*h. Let i = h - -2171993/42. Find the common denominator of 95/6 and i.
42
Let t = 2684206 + -7081375. Let j be t/(-1470) + (-8)/(-10). Let x = j + -2986. Find the 