4*h - 16. Suppose 3*k - 65 + 23 = 0. Calculate the smallest common multiple of k and c(t).
126
Let f(m) = 50*m + 69. Calculate the lowest common multiple of 18 and f(0).
414
Let h = -10460680 + 5418860. Let w be 3/(30/(-4)) + h/(-1800). Let c = -2798 + w. Calculate the common denominator of -109/10 and c.
90
Suppose p + 19*f - 16*f + 19 = 0, 4*p + 42 = 5*f. Find the common denominator of (-4)/(-128)*(p - -107) and (-1)/(-1) + 435/18.
48
Let v be (-4)/(-8) - 3173218/(-128). Let p = -24790 + v. Calculate the common denominator of p and 133/24.
192
Let o = 136381/15 + -9087. Calculate the common denominator of o and -1/1935.
1935
Let f = -2661/6860 + 3/1372. Let m = 98435 + -6201355/63. What is the common denominator of m and f?
630
Let x = 2435/24 + -25299/248. Calculate the common denominator of (-59)/118*(2 - (453/63 + 0)) and x.
1302
What is the common denominator of 167/252 and 5 + -9 - 136/(-96)?
252
Suppose 0 = -2*v - 24*v - 62374. Let q = v + 7127/3. What is the common denominator of 41/27 and q?
27
Suppose -1 + 15 = 2*j. Let v(g) = -2*g**2 + 15*g - 3. Calculate the smallest common multiple of v(j) and 3/(-2)*272/(-51).
8
Let k = 1/99996 + 5555/33332. Let y(l) = -l**2 + 9*l - 8. Let t be y(6). Calculate the common denominator of k and (-4)/t - (-1324)/(-240).
12
Suppose -35 = 5*w + 5*k, -3*w + 4 - 5 = -k. Calculate the lowest common multiple of 57 and ((-408)/32*w)/((-1)/(-2)).
969
Let y = 9 - 8. Let v = -431 - -297. Calculate the lowest common multiple of y and 1/2 - v/4.
34
Suppose 0 = -2*q - 3*q + 315050. Let a = q + -4536593/72. What is the common denominator of 127/22 + ((-6)/(-2) - 8) and a?
792
Let f(c) = -c**3 - 37*c**2 + 852*c + 36. Calculate the smallest common multiple of f(16) and 700.
700
Suppose -20 - 4 = -p - h, 5*p + h - 112 = 0. Calculate the lowest common multiple of p and 964.
10604
Let i be (7114/84)/((-105)/189). Let v = -1009/7 - i. Find the common denominator of v and 14/25.
50
Let n(u) = u + 4. Let z be n(0). Suppose -b = -z*b - 378. Calculate the common denominator of 203/b - 2/3 and -133/18.
18
Let v = -10870603/8 + 1361845. Let o = -3032 + v. Find the common denominator of 17/3 and o.
24
Suppose -b - b + 65 = 3*g, -g + 19 = 2*b. Suppose -4*p = 10*h - 8*h + 46, 3*h = 3. Let m = p + g. What is the lowest common multiple of m and 1?
11
Suppose 4*j = 5*w + 9, -11*j + 1 = -9*j + w. Find the common denominator of -103/28 and (-3)/2*j/(24/62).
56
Let m = -4897 - -5581. Calculate the least common multiple of m and 3496.
31464
Let k = 2630/13 + -16625/78. What is the common denominator of 1/78 and k?
78
Let t(d) = -6*d**2 - 9*d - 18. Let x be t(-3). Let s = x + 55. What is the smallest common multiple of s/4 - 16/(-32) and 7?
21
What is the common denominator of 119/240 and (-4)/22 - (-208305)/26730?
720
Suppose -187 = -5*l + 4*b, 255*b - 256*b = -5*l + 193. Calculate the lowest common multiple of l and 144.
1872
What is the smallest common multiple of 11*2/(-3)*(16 - (-36 + 109)) and 264?
5016
Let z be 93 + -2*4/(-8). Suppose 0 = -z*y + 97*y - 105. Suppose 0 = 5*f - 5*v - y, -3*f + 2*v + 12 + 8 = 0. Calculate the smallest common multiple of f and 10.
30
Let w = 54 - 48. Let y be (23*w/(-15))/(476/(-142)). Let j = y + 7/170. Calculate the common denominator of -103/10 and j.
70
Let a(k) = 19*k + 4. Let h be a(2). Suppose -3*z + 2*f + 137 + 61 = 0, 4*z - 3*f = 265. Let n = z - h. Calculate the lowest common multiple of 8 and n.
88
Let l = 1713 - -2968. Suppose 7*f = 1654 + l. Suppose 8*t - 151 = f. What is the lowest common multiple of 12 and t?
132
Let u be (-1)/(9/6 - 1). Suppose p - 9 = -6*i + 5*i, -5*i = -p - 21. What is the lowest common multiple of i and (u/8)/(5/(-140))?
35
Let l be (-1 - 1) + (-96)/408900 + 2. Let r = l + -3483725663/477050. Let m = -7295 - r. What is the common denominator of m and -75/32?
224
Find the common denominator of 1 + 0 - 5/(-8) and (59/470)/(-12 + (-870)/(-75)).
376
Suppose -3*d - 2*d + 2*f + 5493 = 0, 0 = -5*d + 5*f + 5505. Suppose -4*s + 103 = -d. Calculate the common denominator of 29/6 and 1895/s - 7 - 2/3.
60
Let i be 1/(-6) + (62358/(-36))/(-19). Suppose 15*b + 1 = i. Calculate the lowest common multiple of 9 and b.
18
Let r(y) = -14*y - 139. Let b be r(-32). Let x = 9545/7 + -1366. What is the common denominator of (b/(-2))/(10 - 19) and x?
42
Find the common denominator of (-1)/(-5)*-25 - (-198)/32 and 39/1568.
1568
Let b = -64567 + 41839429/648. Find the common denominator of b and 121/1944.
1944
What is the common denominator of -41/95 and (42473/4256 - 2) + (-8 - 0)?
21280
Let r(t) = -t**3 + 13*t**2 - 2*t + 30. Let x be r(13). Suppose 10 = -3*p + x*p. Calculate the lowest common multiple of p and 11.
110
Let u = 326270/183537 + 2/20393. Find the common denominator of u and (23/(-6))/((-2)/9).
36
Suppose -20 = -x - 4*x, 0 = -5*p + 3*x + 108. Suppose -121 + 124 = 10*t - 117. Calculate the lowest common multiple of p and t.
24
Let q = -17779 + 17883. What is the least common multiple of q and 160?
2080
Let h = -9559421/126317688 - 2/751891. Find the common denominator of -103/192 and h.
9408
What is the least common multiple of 33 and (-2)/15 - (16/14 - (-25092)/(-1890))?
132
Suppose 3*j - 5*o = -8*o - 18, -5*j + 3*o - 70 = 0. Let f = j - -47. What is the least common multiple of f and 8?
72
Let c(r) = -9*r + 312. Let o = -6 + 8. Calculate the least common multiple of c(26) and o.
78
Let n = -295 - 213. Let y = 584 + n. What is the smallest common multiple of y and 7?
532
Suppose 19111 + 7973 = 111*w. Calculate the least common multiple of 122 and w.
244
Let o be 1638031/60 - (-12)/(-16)*4. Let q = o - 27300. Calculate the common denominator of q and -33/2.
60
Let t = 3647 + -3109. Calculate the lowest common multiple of t and 32.
8608
Suppose 0 = k + 3*d - 7*d + 80, 2*d = -5*k - 510. Let v = 136 + k. Calculate the lowest common multiple of v and 8.
72
Let g(n) = 324*n - 6538. What is the least common multiple of 18 and g(21)?
2394
Let a = -7345/6 + 1216. Suppose k = -4*k + 4*u + 1, -3*k - 2*u = -5. Calculate the common denominator of 19/(-16)*k*6 and a.
24
What is the smallest common multiple of -7*(-18600)/70 + 18/(-2) and 3?
1851
Suppose 382 + 539 = -16*p + 1049. Calculate the lowest common multiple of 2386 and p.
9544
Let n be 0 + -335*(-1075)/48. Let g = n + -7505. Calculate the common denominator of (2/(-3))/(-2 - 1986/(-1053)) and g.
240
Let q(s) = 457*s - 1408. What is the lowest common multiple of q(4) and 5?
420
Let t = 31423697/30 - 1047659. Let b = -943/5 - t. What is the common denominator of b and 20/21?
42
Let n(s) = s**3 - 9*s**2 + 24*s - 13. Let a be n(5). Suppose -8*b - a*b + 810 = 0. What is the least common multiple of b and 90?
270
Let f = 78 + -48. Suppose -3*u + 66 = 2*p - f, -2*p = u - 32. Calculate the smallest common multiple of (2/(20/(-15)))/((-6)/u) and 22.
88
Find the common denominator of (1/(-209))/(39/((-47658)/(-104))) and -101/8.
1672
Let y be (-18)/12*((-42)/(-9) - 2). Calculate the common denominator of -9/4 and (y/(-6))/((-720)/(-1809)).
40
Let p = -42/911 - 61935/20042. Suppose -h + 5*k = -225, -4*h - 5*k + 10*k = -885. What is the common denominator of p and (-77)/h + 1*6?
220
Suppose -4*r + 5*y = 48 - 153, 110 = 5*r - 2*y. Suppose -2*a + 250 = -2*p, -2*a + 233 = -p - 12. What is the lowest common multiple of a and r?
120
Suppose -5*g + 39 = 3*j, g = 1 + 2. What is the least common multiple of 166/j + (-1)/(-4) and 9?
63
What is the lowest common multiple of 64 and 288600/666*12/10?
4160
Let o = -1/4560 + -9347/4560. What is the common denominator of 117/20 and o?
20
Suppose -4*z = -4, -z + 4 = d + 3. Suppose d = 13*m - 1434 - 958. Calculate the smallest common multiple of m and 10.
920
Let i(z) = 103*z + 3634. What is the lowest common multiple of i(-13) and 2700?
45900
What is the common denominator of -111/644 and (11235/7560)/(138/(-12))?
5796
Let d = -525 + 847. Suppose -3*i + p - d = -116, 60 = -i - 4*p. What is the common denominator of i/8 + -1 + 4 and 107/20?
20
What is the common denominator of 10/45 + 634/36 - (-36)/24 and 83/474?
474
Let n = 11043 - 88307/8. What is the common denominator of n and (195/(-2))/5 + 0?
8
Let y(n) = -5*n + 73. Let i be y(14). Suppose -16 = -i*p + 2*b, -4*p = -2*b - 4 - 20. Calculate the smalle