 and h.
52
Suppose 3*n + 42 = -93. Let m = n - -54. Calculate the smallest common multiple of m and 24.
72
Let t = 1/7351 + 889441/220530. Let u = -377728/33 + 11448. What is the common denominator of t and u?
330
Let z = -4296 - -25841/6. What is the common denominator of z and 77/82?
246
Suppose -43*p + 40*p + 4*d + 332 = 0, 0 = -5*p - 3*d + 534. What is the least common multiple of 128 and p?
3456
Let o(u) be the first derivative of -3*u**2/2 - 9*u - 307. Suppose -2*c = -5*c - h - 13, 5*c + 10 = -4*h. Calculate the least common multiple of 14 and o(c).
126
Let x(h) = -2*h**3 - 17*h**2 - 5*h + 15. Let b be x(-9). Let u = -97 + b. Calculate the lowest common multiple of 44 and u.
44
Let t = 5/1666 + -241625/18326. Let s = -38933/22 - -1770. Let r = s - t. Calculate the common denominator of -85/6 and r.
6
Let a = -1138 - -18221/16. Find the common denominator of (6/(-10))/((-4)/5) and a.
16
Suppose 9 = s - 4*s. Let x = 0 - s. Suppose -x*u - 30 = -5*j + 29, 2*j - 23 = u. Calculate the smallest common multiple of 4 and j.
20
Let q = -170006/21 + 8099. Calculate the common denominator of q and -37/15.
105
Suppose -9*g - 20 = -4*g, -5*g = -5*k + 220. Suppose -18*y + 15*y + 84 = 0. What is the least common multiple of k and y?
280
Let t = 1 + 4. Let g(v) = -5*v - 23. Calculate the lowest common multiple of g(-5) and t.
10
Let n = -355/3 + 117. Suppose -4*c + 1256 = -0*c. Calculate the common denominator of n and 6/14 - c/(-84).
6
Suppose 2*o + 14 = 4*o. What is the smallest common multiple of (-9)/126*0 + 0 + 2 and o?
14
Calculate the common denominator of 3/2640*806 + 57/(-76) and 129/280.
3080
Find the common denominator of -6/11 and (-201)/(-4) - 0 - (-6)/(-24).
11
Suppose 5*y + 10 = -0*y. Calculate the least common multiple of 25/2 + 1/y and 4.
12
Suppose -5*y + 44225 = -o - 7069, 5*o = y - 10278. Let p = -19264523/1878 + y. Let h = p + -12217/18780. Calculate the common denominator of h and -1/20.
20
Let t(q) = q**3 - 6*q**2 + 6*q + 5. Let f be t(5). Calculate the smallest common multiple of 6 and 24/f + 2/(-5).
6
Let n = 2/6197 - -291241/55773. What is the common denominator of n and 19/460?
4140
Suppose 2*g - 194 = -4*c, 195 = 4*c - 3*g + 6*g. Calculate the smallest common multiple of c and 57.
912
Let s = -4/2589 - -199385/20712. Let f be -6 + 4 - (-14407)/6. Let v = f + -2383. Find the common denominator of s and v.
24
Let n = -417/41 - -10351/1312. Calculate the common denominator of n and 13/8.
32
Suppose v = 11 - 0. Suppose -r = -3*j + 5 - 19, 5*r - 16 = -3*j. Suppose 24 + v = r*i. Calculate the smallest common multiple of i and 3.
21
Calculate the common denominator of 71/36 and ((-304)/(-180))/(-2)*(-10)/(-9).
324
Suppose -s - h + 6 = 0, 0*s + 2*s = 3*h + 7. Let j(i) = i**3 - 6*i**2 + 5*i + 2. Let q be j(s). What is the least common multiple of 6 and (-2)/q - (-4 - 13)?
48
Find the common denominator of 21297/30690 - (-1 + 8/10) and 85/6.
66
Let u be (((-6)/6)/2)/(1/(-12)). Find the common denominator of 29/3 and 27/(-144)*u + (-3)/7.
168
Suppose 3*a - 31 = 4*l + 2*a, 4*l = 3*a - 21. Let h = l - -25. Let u(p) = -p**3 + 12*p**2 - 10*p - 7. What is the smallest common multiple of h and u(11)?
16
Let t = 461 - 445. What is the least common multiple of 102 and t?
816
Let m = -92743/12 + 7722. Calculate the common denominator of -121/10 and m.
60
Suppose 24 = -h - 2*h - 3*t, 3*h + 4*t = -20. Let z = 16 + h. Calculate the lowest common multiple of 9 and z.
36
Let d = 46 + -34. Let a(c) = -12*c + 260. What is the smallest common multiple of d and a(20)?
60
Let u(j) = -61577*j**3 + 2*j**2 - j - 2. Let o be u(-1). Let a be (1 + o/(-15))/4. Let g = -1020 - a. Find the common denominator of g and 37/11.
220
Let k = -84/113 + 1051/3390. Calculate the common denominator of -23/3 and k.
30
Let m = 37 + -143/2. What is the common denominator of m and 406/88 - 5/2?
44
Calculate the lowest common multiple of (6 - 429/22)*4/(-3) and 45.
90
Let w = -3013 - -3015. Let j = 39 + -15. Calculate the smallest common multiple of w and j.
24
Suppose -l = -6*l. Let v be (l + -1)/(6 - 7). What is the lowest common multiple of v*6 - (-8 - -8) and 2?
6
Calculate the common denominator of -13/28 and 33/(-44)*(1 - 116/120).
280
Let d = 376 + -310. Calculate the lowest common multiple of d and 8.
264
Let t = -327 + 1687/5. Let i be 15/(-24)*(-12849)/(-5). Let s = i + 1615. Calculate the common denominator of t and s.
40
Let c(h) = -3*h**2 + 52*h - 11. Let x(g) = g + 15. Calculate the least common multiple of x(12) and c(17).
54
Find the common denominator of -27/20 and 5/(-5760)*4*43.
1440
Let c = 7121807/90 - 79132. Find the common denominator of c and 29.
90
Let q be 290/((11/(-3) + 3)/1). Let t = -169865/14 + 12125. What is the common denominator of t and (q/(-66) - 3) + -3?
154
Let n = 2812 + 11087. Let m = -222285/16 + n. Calculate the common denominator of m and -109/6.
48
Suppose -98*x + 1965 = -93. What is the least common multiple of 49 and x?
147
Suppose 4*t - 13 - 7 = 0. Suppose -32 = -t*j + 3*j. Let u(s) = -16*s + 22. Calculate the smallest common multiple of j and u(0).
176
Let c = 846 - 9266/11. Suppose -6211 - 5951 = 4*o - 2*a, 4*o - 4*a = -12168. Let b = o - -21323/7. What is the common denominator of c and b?
77
Calculate the smallest common multiple of 48 + -12 - (1 + -5) and 35.
280
Let g = 86/13 - -153/26. Let b = -1455329/36 + 40429. Find the common denominator of b and g.
36
Let x(c) = -c - 8. Let h be x(-13). Suppose h*f = -3*g + 333, 2*g - 3*f - 203 = -0*g. Suppose 40 = -3*q + g. What is the lowest common multiple of q and 14?
154
Suppose 14 = 2*n - 2*x, 4*n - 5*x = 3*n + 27. Suppose 10*d - n*d = 16. What is the lowest common multiple of d and 18?
18
Suppose 43*h - 39 = 40*h. Let c(u) = u**2 - 11*u + 7. Calculate the least common multiple of c(h) and 18.
198
Let y(g) = g**3 + 4*g**2 - 5*g + 2. Let o = 54 + -59. Suppose -p + 2 = 1. What is the smallest common multiple of p and y(o)?
2
Calculate the common denominator of 2163/(-18)*31/651 and 71/273.
1638
Let m = -5 + 6. Let v be 3/((-12)/(-16)) - m. Find the common denominator of 55/6 and v/15*795/(-18).
6
Let c = -2807/2 - -11127/8. Calculate the common denominator of c and (-329)/294 - 20/12.
56
Suppose -2*d - 5 - 69 = -4*j, j - 3*d - 11 = 0. Calculate the lowest common multiple of j and 86.
860
Find the common denominator of (21/(-80))/((-1100)/(-528)) and -131/150.
1500
Calculate the common denominator of ((-127)/72)/(-14 + 189/14) and -139/54.
108
Let p(o) = o**2 - o - 3. Let t be p(-4). Let q = t - 18. Find the common denominator of -62/9 and ((-1112)/(-144))/(q/3).
18
Let o(k) = k**2 - 5*k - 2. Let g be o(6). Find the common denominator of 4/20*62/g and 17/2.
10
Let s = -694 - -750. What is the least common multiple of s and 7?
56
Let v = -7862/3 + 3027098/1155. Calculate the common denominator of 39/2 and v.
770
Let j = -7 - 84. Let s = j - -247. Calculate the lowest common multiple of 20 and s.
780
Suppose 0 = a - 5, 4*a = 5*m + 16 + 14. Suppose -4*d + k + 304 = 0, 2*d - 68 = k + 84. Find the common denominator of -81/2 and d/(-18) - (1 - m).
18
Find the common denominator of (-11)/(7040/(-4475)) + -7 and -47/4.
128
Let j = -31 + 29. What is the common denominator of ((-273)/208)/(j/(-24)) and 73/10?
20
Calculate the smallest common multiple of 82 and 116/203 - (-132)/14.
410
Let s(p) = -6*p**3 + p**2 - p + 1. Let m be s(-2). Suppose -3*q - m = -8*q - 5*i, -i - 5 = -q. Calculate the least common multiple of 2 - (-86 + -4)/5 and q.
40
Let j be (-1 + 2)/1 - 1. What is the least common multiple of 17 and (1 - 3 - j)*-4?
136
Suppose -39 + 19 = -2*w. Let r = -4 - -8. What is the lowest common multiple of w and r?
20
Let k(w) = w**3 - 12*w**2 - 84*w - 57. Calculate the lowest common multiple of 150 and k(18).
750
Let g = -2652/11 - -56275/231. Calculate the common denominator of g and -145/72.
504
Suppose 0 = -r - 2 + 8. Suppose -6*l + l + 25 = 0. What is the lowest common multiple of l and r?
30
Let u = 2444231/108 + -22631. Calculate the common denominator of u and 127/72.
216
Let n = 39/22 - 477/176. Let b(o) = 929*o - 4. Let d be b(4). Let h = 74263/20 - d. Find the common denominator of n and h.
80
Let n = -15027701/372 + 983634/31. Let x = -8657 - n. Calculate the common denominat