Let a = 100 + -91. Calculate the common denominator of 3 - (0 + 95/16) and (-18)/a - (2 + 90/28).
112
Suppose -1045 = -b + 236. Suppose 6*q + b = -q. What is the common denominator of q/72 - -4 - (-2 + 5) and 27/44?
264
Suppose 5*h + 4*m = 81, m - 5*m = -16. Suppose -h*p - 6 = -15*p. What is the smallest common multiple of p and 44?
132
Let x = 5719442/9 - 636304. Let c = x - -170678/207. Let u = -2481/230 + c. What is the common denominator of u and 29/42?
210
Find the common denominator of 3/217 and (190162/1736)/17 - 7.
868
Suppose -7*i + 20 = -8. Let g be (2 - i)/(-1 - 0/(-1)). Suppose 63 = -g*o + 87. What is the smallest common multiple of o and 66?
132
Suppose 24 = -s + 7*s. Suppose -s*q + 9*q = -2*f + 26, -7 = -f - q. Suppose 6*u - f*u = 5*a + 18, 5*a = -15. Calculate the least common multiple of 9 and u.
9
Calculate the common denominator of -3/185 and 160/30 - (-1)/(-3) - (-4944)/(-480).
370
Let m(u) = -12*u + 8. Let v be m(-1). Suppose -v*f = -515 - 485. What is the lowest common multiple of f and 35?
350
Let n(v) = -125*v - 369. What is the lowest common multiple of 2976 and n(-3)?
2976
Find the common denominator of 47/5 and 924/(-3728)*(-3260)/270 - 3.
20970
Suppose 4 = -q + 3*q. Suppose 5*k = 4*g + q*k - 43, 5*k = -g + 5. Let r = 405 + -356. Calculate the smallest common multiple of g and r.
490
Let r = -7918 + 7994. What is the smallest common multiple of 200 and r?
3800
Let v = 6619/2701627 + -30916246139479/799681592. Let c = 77321/2 + v. Find the common denominator of c and -79/10.
1480
Suppose 0 = -2*h + 40 - 0. Let v(s) = 24 - 2*s**3 - 15*s**2 - 2 + 3*s**3 - s - 15*s. Calculate the smallest common multiple of v(16) and h.
220
Suppose 119*h = 134*h - 53100. What is the lowest common multiple of h and 27?
31860
Suppose 3*n + 1 - 133 = 0. Suppose 20*z + 324 = 4*q, -2*q = 7*z - 6*z - 250. Calculate the least common multiple of q and n.
484
Let u(x) = 8*x - 12. Let c be u(5). Suppose -32 = -2*n + c. Suppose -64 = -5*h + 2*r, 0*h - 2*h + 25 = -r. What is the smallest common multiple of h and n?
210
Suppose -27*p - 19*p + 3054 = -7296. What is the smallest common multiple of 1080 and p?
5400
Let q = 1515657/50 + -30312. Calculate the common denominator of q and 73/(-3) - 3/(-18).
150
Let s = -697/27 - -27. Let w = 72782110 + -15284367401/210. Let j = 4117/7 + w. Calculate the common denominator of s and j.
270
What is the common denominator of -17/549 and 29/(-116)*(2 + (-188)/(-3))?
1098
Suppose 0 = -2*j + 3*t - 3, -2*t - 1 = 4*j - 7*t. What is the common denominator of j/8 + (-30)/(-72)*-29 and -83/12?
12
Calculate the common denominator of 3/15 + (-635)/(-2700) and ((-3)/(75/(-29)))/((-154)/(-385)).
540
Let u = -32 + 45. Let q = u + -3. Calculate the common denominator of -27/7 and 17/(-6) - (4 + (-35)/q).
21
Let i = 14 - 8. Suppose -4*r + i*r = 16. Calculate the smallest common multiple of 48*1*(-98)/(-294) and r.
16
Suppose -29 = -5*c + 2*v, -5*c + 3*v + 20 = -11. Let g(n) = 3*n**3 - 4*n**2 + 3*n + 1. Calculate the lowest common multiple of g(3) and c.
55
Suppose 3*l + 4*q - 7 + 3 = 0, -4*l + 24 = -4*q. Suppose -f + 1 = -z, 13 = l*z + 3*f - 11. Calculate the common denominator of 71/10 and (z/(-8))/(12/76).
40
Let s = -517127/30 + 17236. Let w be 5966/(-14965) - 4/(-10). Let i = w + 119612/80811. Find the common denominator of i and s.
270
Let b be (-3)/(-70)*(-8)/4878. Let l = b - -882227/1735755. Find the common denominator of l and -9/11.
671
Suppose -1997*x = -1951*x - 5566. What is the least common multiple of 4 and x?
484
Let g = 225641/213 - -709/71. Let z = -2232472193/2107680 + -9/702560. Let w = g + z. What is the common denominator of -101/8 and w?
8
Let x(k) = k**2 - 14*k + 67. Let s(t) = t**2 - 11*t - 170. Let q be s(-9). What is the smallest common multiple of x(q) and 72?
216
Let o = -89 - -92. Suppose -v - 3*k = o, -k = 2*v - 3*k - 34. Calculate the smallest common multiple of 18 and v.
36
Let i(b) = 3*b + b + 3 + b. Let l be i(0). Suppose -3*m = 2*f - 27, -14 + 80 = l*f - 4*m. What is the smallest common multiple of f and 10?
90
Calculate the common denominator of (0 - -3) + 370/(-24) and ((-76)/(-24))/((-180)/140).
108
Let m = -8407/161400 - -115/538. Find the common denominator of -139/60 and m.
600
Let r = 2738556500 - 44709673379927/16326. Let m be ((-2)/907)/((-3)/(-6)). Let p = m + r. Calculate the common denominator of p and 97/2.
18
Let b be (-1 - 201106/(-8148)) + (-2)/(-7). Let d be (168/(-1940) + 0)/(2/(-20)). Let f = d + b. Calculate the common denominator of f and -51/10.
30
Let g be (-2)/3*93*2/(-4). Suppose 3*s - 17 = g. What is the least common multiple of s and 6?
48
Let d = -1593626/9 + 176572. Let m = 501 + d. What is the common denominator of m and -28/27?
27
What is the least common multiple of 16 and -2 - 8/(-1) - 4*(-9 + 6)?
144
Let q be (-4652)/240 + (-24)/3. Let l = q - -82/3. Find the common denominator of -9/100 and l.
100
Suppose 11*p - 320 = 604. Calculate the common denominator of (55/240)/(2 + (-160)/p) and -49/40.
160
Suppose 80*s = 62*s + 432. What is the lowest common multiple of s and 10?
120
Suppose -5*i + d = 35, 3*d + 0*d = -i + 9. Calculate the common denominator of -23/12 and (-9)/(-6) - (-2 - (-10)/i).
12
What is the common denominator of -3*(-4184)/(-2592) + 4 + 2 and -51/352?
9504
Let j(z) = -z + 15. Let a be j(16). Let m(k) = -k - 51. Let v be m(-16). Find the common denominator of 131/6 and (v/9)/(1/(-3) - a).
6
Let q = -13622107/9296 - -20515/14. Find the common denominator of -9/1328 and q.
1328
Let n = 18 + -13. Suppose -n*p = -3*p + 8. What is the common denominator of -11/3 and p*(4/112)/(3/30)?
21
Let d be ((-164)/17)/(-2 + (0 - 0)). Let c = 367/136 - d. Find the common denominator of c and 48.
8
What is the common denominator of 558/75*((-2145)/(-520) + (-14)/4) and -39/3242?
32420
Let b(n) = -20*n**3 - n**2 + n - 5. Let t be b(-5). Let i = 54131599/21896 + -928/2737. Let a = i - t. Find the common denominator of 19/2 and a.
8
Suppose 499 = -2*o + 63. What is the common denominator of 85/48 and o/24*(-5)/((-30)/4)?
144
Find the common denominator of -8 + 31/4 - ((-3225)/(-36))/5 and -36/83.
498
Let g(n) = -29*n + 5. Suppose 0 = -8*q - 2*q + q. Calculate the lowest common multiple of 8 and g(q).
40
Let c = -349/5 - -73694/1055. Let u be (-377580)/(-182304)*-2 - -8. Let v = c - u. Find the common denominator of v and 133/24.
72
Let v be (-18)/(-5) + 3/(-5). Suppose 0 = v*d + 2*d - 15. Suppose -5*n + 42 = -3*c, 4*n = -d*c - c + 8. What is the smallest common multiple of n and 12?
12
Let v = -18 + 24. Suppose -v*y + 292 = -302. Calculate the least common multiple of 99 and y.
99
Let i be (-4)/(-4)*(8 + 3). Suppose -6*r + i = -5*r. What is the smallest common multiple of r and 1035?
11385
Let f = -55 + 155. What is the common denominator of 38/f + 244/(-305) and 58/35?
350
Let q be 35747/780*(-7)/(-476)*-9. Let h = q - -7/2210. Find the common denominator of 1/70 and h.
560
Let k = -3893/2 - -1984. Let v = -14 - -480. Let z = -9321/20 + v. What is the common denominator of k and z?
20
Let g be (-2807)/21 + 6/9. Let h = 160 + g. What is the lowest common multiple of h and 3?
27
What is the lowest common multiple of 4 and (8 + -7)/(1/28054)?
56108
Let u(h) = -2*h. Suppose -5*a = -3*d + 25, 8*a + 5*d + 65 = 3*a. Let r(i) = 1332*i - 33290. Calculate the smallest common multiple of r(25) and u(a).
80
Suppose 4*c - 10 = -2*o + 46, 0 = o + 4. Let y = -4247 + 4251. What is the lowest common multiple of y and c?
16
Let n = -2870/3 + 10517/11. Find the common denominator of n and ((-7)/((-35)/(-39)))/(27/30).
33
Let h = 116/21 - -93/14. What is the common denominator of 85/138 and h?
138
Let a(x) = x**3 - 11*x**2 - 14*x + 250. What is the smallest common multiple of 432 and a(11)?
864
Let j = -465 + 745. Let p = -3033 + 3055. Calculate the lowest common multiple of p and j.
3080
Let u(b) = -15*b - 22. Let g be u(-10). Let l = 900/7 - g. Let j = l - 79/126. Calculate the common denominator of 125/12 and j.
36
Suppose -7*c = -8 + 8. Suppose c = -2*f - 64 + 68. What is the lowest common multiple of 97 and f?
194
Let w = -65111/14042 + -6/1003. Let b be 226/14320*(-31 + 9). Let c = -1/358 + b. What is the common denominator of w and c?
140
Let g(k) = k**3 + k**2 + 2*k + 1