5 - -4). Let j = 437/36 - d. Calculate the common denominator of j and 145/6.
12
Suppose -3*k - 134 = -2*j, 268*k = 2*j + 273*k - 118. Calculate the smallest common multiple of j and (24/(-20))/((-6)/80).
64
Let u = -4772 + 42898/9. Let a be (4 - 5) + 493 - 1*-3. Calculate the common denominator of u and (-120)/(-9)*(-108)/a.
99
Let u be (-4)/(-24) + (-1409)/(-6). Let v = -187 + u. What is the least common multiple of v and 56?
336
Find the common denominator of 2 - (641/(-14))/(2760/(-161)) and 119/540.
2160
Let c(u) = 37*u - 1697. What is the smallest common multiple of c(53) and 8?
264
Let q(w) = w**3 + 14*w**2 - 2*w - 2. Let m = -77 - -65. What is the smallest common multiple of 22 and q(m)?
3410
Let o = 12 + 6. Let t = o - 19. Find the common denominator of ((-1 - 1) + t)*106/60 and -69/10.
10
Let r(f) = 14*f + 56. Let k be r(-20). What is the common denominator of -71/30 and 124/k*5/((-5)/4)?
210
Let x = 11/376 - 673/10152. Find the common denominator of x and -35/2979.
8937
Let r(o) = -7*o - 5. Suppose 0 = 4*i - 3*c - 87, -5*c = 54*i - 49*i - 135. Calculate the lowest common multiple of i and r(-5).
120
Let w = 47 + -42. Suppose 0 = w*t - 53 - 57. Calculate the smallest common multiple of t and 358.
3938
Let w = 26 + -66. Let j = -35 - w. Suppose 2*l = -j*b + 260, 3*b - 7*b + 208 = -l. What is the smallest common multiple of 20 and b?
260
Let t = -23845303/360 - -66237. What is the common denominator of -31/648 and t?
3240
Let o be ((-27)/63 - -1)/(2/21). Let m(z) = -7*z + 53. Calculate the least common multiple of 4 and m(o).
44
Suppose -10 = 4*y - 34. Let l = -3825 - -3839. What is the smallest common multiple of y and l?
42
Calculate the smallest common multiple of ((-7236)/536)/((-6)/8) and 1356.
4068
Let o(d) = -8*d + 5 + 2 + 11*d + 0*d. What is the lowest common multiple of o(0) and 59?
413
Let r(j) = -j**2 + 7*j + 6. Let v(t) = t**3 + t**2 - 6*t + 164. Calculate the least common multiple of r(5) and v(0).
656
Let g = -1292 - -1960. What is the lowest common multiple of g and 16?
2672
Let s(t) = -t**2 + 11*t - 6. Let m(k) = k + 13. Let u be m(-4). What is the least common multiple of s(u) and ((-2)/(-1) - -5) + -2 + 7?
12
Let q = 2772 + -2760. What is the least common multiple of q and 140?
420
Let p = 14/20167837 - -19333150729241/1210070220. Let d = p + -15975. Find the common denominator of -125/84 and d.
420
Let i(p) = p**3 + 7*p**2 + 2*p - 7. Let b = -9655 + 9661. What is the smallest common multiple of i(-5) and b?
66
Calculate the common denominator of 2044/(-7)*3/(-324) and 71/1053.
1053
Let w = 1751106/115 + -30453/2. What is the common denominator of 9/40 and w?
920
Let p = -2358 - -3609. What is the smallest common multiple of p and 139?
1251
Let m = -1287 + 729. Let z = m + 588. Calculate the smallest common multiple of 30 and z.
30
Suppose -5*j = -n - n - 148, 0 = j + 2*n - 32. Let y = -462 + 486. What is the least common multiple of j and y?
120
Suppose 0 = -14*k + 12*k + 4. Suppose -k*s + 6*s = 2*w - 50, 0 = 4*s + 3*w + 65. Find the common denominator of s*((-180)/(-152) - 1) and -17/6.
114
Suppose 54 = 2*o + 2*m - 0*m, -45 = -2*o - 5*m. Let b be (-1)/(-5)*-282*(-40)/12. Let d = 208 - b. What is the smallest common multiple of o and d?
60
What is the lowest common multiple of 1696 and 17*4044/36 - (-10)/(-6)?
15264
Suppose -15 - 3 = -g. Let b(p) be the second derivative of 7*p**4/12 - 97*p**3/6 + 10*p**2 - 5*p - 19. Calculate the least common multiple of g and b(14).
306
Let c be 4/(-3) - (-120)/(-45). Find the common denominator of (c + 1 - -2) + 69/297 and -27/55.
495
Let j = 220787/15 + -14713. Calculate the common denominator of j and (-1498)/546 + (-7)/(14/(-6)).
195
Let h = -4340 - -4506. Calculate the least common multiple of h and 14.
1162
Find the common denominator of -29/1248 and -5 + (-3124)/(-480) + 4/(-8)*6.
6240
Let r(p) = -p**3 + 12*p**2 - 9*p - 7. Suppose -9*g + 13 + 86 = 0. What is the smallest common multiple of 15 and r(g)?
15
Suppose 3*s - 120 = 2*a - 95, 0 = s - a - 11. Calculate the smallest common multiple of s and 955.
2865
Suppose -4*x + 512 = -3*p, -p - 333 = p - x. Let q be (-390)/126 - (-28)/294. Find the common denominator of -3*(p/84 - q) and -53/4.
28
Let u = -5215/12 - -14279/4. Let p = u + -3125. Calculate the common denominator of -71/9 and p.
18
Suppose -4*b - 5*r + 35 = -4*r, 4*r + 13 = b. Suppose 0 = -22*l + 24*l - 20. Calculate the smallest common multiple of l and b.
90
Let d(t) = 3*t + 40. Suppose 0 = 4*n - 5*m - 3, -n + 0*m + 4 = 2*m. Suppose -2*g = n - 14. What is the least common multiple of g and d(-6)?
66
Calculate the common denominator of 12/((-720)/12)*5481/1131 and (-1)/2 - (-87)/182.
455
Suppose -40 = 12*y + 164. Let j(o) = -o**3 - 18*o**2 - 18*o - 14. Let s be j(y). Calculate the common denominator of 47/20 and s/((-1620)/1257) - 2/9.
20
Let n = 744265064672 + -121059178358815985/162656. Let i = n - 4/5083. Calculate the common denominator of i and -93/10.
160
Let v(x) = -7*x + 1. Let i be v(6). Let q = 1 - i. Calculate the common denominator of (2/(-14))/((-7)/q) and -41/11.
77
Suppose 16 = 4*n - 7*n - 5*w, 2*n + 12 = -4*w. Let g = n + 12. Calculate the least common multiple of g and 39/(-13)*(-2)/6.
10
Let q(y) = -y**2 + 288*y + 2384. What is the smallest common multiple of q(-8) and 1888?
1888
Calculate the least common multiple of 1470/8 - 2/(-8) and 2*5*-29*(-24)/348.
920
What is the smallest common multiple of 93 and 8 + (2 - 1)/((-2)/14)?
93
Let d(v) = v**2 + 5*v + 2. Suppose 3*b - 5*l - 81 = 0, -3*l - 310 + 255 = -2*b. Calculate the smallest common multiple of d(-5) and b.
32
Suppose -622042 = -3*k + 2*o, 2*o + 1296400 - 259662 = 5*k. Let d be k/30*3/108. Let y = d - 963/5. Find the common denominator of y and 179/90.
90
Let k(o) = -5*o**3 - 278*o**2 - 157*o + 454. Let q(d) = 2*d**3 - d + 1. What is the least common multiple of k(-55) and q(1)?
14
Suppose -9728 = -64*p + 28288. What is the least common multiple of p and 2?
594
Suppose h - q - 50 = 0, 0*h - 3*q - 96 = -2*h. Find the common denominator of (423/(-6))/(-9 + 18) and (-1 - 0) + 327/h.
18
Let c(w) = w**3 - 16*w**2 + 16*w + 1. Let n be c(15). Suppose 42 = -9*z + n*z. Suppose -4*b + 152 = -0*b. What is the least common multiple of b and z?
114
Let i be (-3)/3 + (-118 - -1) + -2. Calculate the common denominator of ((-22)/3)/((-160)/i) and 59/14.
14
Calculate the lowest common multiple of ((-360)/48 - -1)/(1/(-528)) and 6.
3432
Let o be (8 - (11 - 2))*1*-23. Suppose 17*d + 18 = o*d. Calculate the lowest common multiple of d and 234.
234
Suppose v + 27 = 27, 0 = -3*w - 5*v + 6912. Calculate the lowest common multiple of w and 96.
2304
Let u(v) = -210*v + 13. Let o be u(-1). What is the common denominator of -34/23 and o/70 - 25/(-250)?
161
Suppose -6*q = -34*q + 114296. Calculate the common denominator of 19/10 and (2*1/(-6))/(q/(-3237)).
1570
Let k be (-7 - -4)*(-4)/(-3). Let t = -897 - -895. What is the common denominator of 1/(-10) - k/(0 - t) and -23/24?
120
Let i = -318701/30021204 - 1/33063. What is the common denominator of i and 19/44?
29964
Let o = -49 + 52. Suppose -2*p = -4*y + 190, 469 = -5*p + y + o*y. What is the common denominator of (p/(-54) + -2)*57 and 39/11?
66
Suppose 3*d + 2*d - 100 = 0. Suppose -m = -3*j + 33, 0 = 387*j - 382*j - 6*m - 42. What is the lowest common multiple of j and d?
60
Let q = 847/18 - 752/9. Calculate the common denominator of -13/51 and q.
102
Suppose 3*c + 77 = 2*c. Let u = -1043 - -1031. Calculate the common denominator of -7 + 6 - c/u and 101/6.
12
Suppose -v - 10 = 4*z - 6*z, -5*z = -5. Find the common denominator of 131/72 and ((-6)/v)/((-2160)/(-2010)).
288
Find the common denominator of (-2)/(-6)*22*(-370)/3145 and -92/225.
3825
Let o = -8962130/362318469 - 14/140597. Find the common denominator of -35/3 and o.
2577
Suppose -135780 = -175*r - 135*r. Calculate the smallest common multiple of 219 and r.
438
Let b(c) = 7*c**2 + 10*c - 15. Suppose 3459 = -5*q + 3469. What is the least common multiple of 15 and b(q)?
165
Let d(s) = -s**2 - 15*s - 24. Let w be d(-13). Let j(a) = -15*a - 10*a + 25 + 17*a**w - a**3 + 8*a**2. Calculate the smallest common multiple of 12 and j(24).
12
Let b = -915/900541 + -765298566236/85551395. Let l = b - -8945. Calcula