t f = n - 21. Calculate the lowest common multiple of 4 and 11/3 + (-8)/f.
12
Let m = -13/51 + 2011/1887. What is the common denominator of m and 1/8?
296
Let r = -376968/11 + 10433141/220. Let n = 13159 - r. Find the common denominator of -151/12 and n.
60
Find the common denominator of -9/14 and ((-3)/(-340))/(133/3135).
476
Let f(c) = c - 41. What is the lowest common multiple of 32 and f(44)?
96
Let y be 1145/33 - 3/9. Let h = -1/197797 - -359199385/6527301. Let j = h - y. What is the common denominator of -50 and j?
3
Let y = 6843/8 - 843. Suppose -4*j - 3*c = -11, 10 = 5*j + 4*c - 4. Calculate the common denominator of y and j/3*123/(-28).
56
Let w = 2445 - 2070. Calculate the least common multiple of 9 and w.
1125
Suppose -13456 = -25*x - 33*x. What is the smallest common multiple of x and 20?
1160
Let a be (1/((-2)/(-13)))/((-22)/(-88)). Let p = 19841/3530 + 28/353. Calculate the common denominator of (a/3)/(-4*(-10)/(-36)) and p.
10
Let h(x) = 6*x - 12. What is the least common multiple of h(3) and 11?
66
Find the common denominator of -87/56 and ((-11448)/(-640))/3 - (-5)/(-1).
560
Suppose 0 = 4*r - 5 + 149. What is the common denominator of ((-2)/(-24))/(3/(-678)) and 2/(-3)*(-96)/r?
18
Suppose -12*y + 14*y - 36 = 0. What is the lowest common multiple of y and 369?
738
Suppose 0 = -2*c + 5*c - 24. Suppose -c = 5*b - 23. Suppose 4*r - 4*w = -0*w + 12, w + 11 = b*r. Calculate the smallest common multiple of 7 and r.
28
Calculate the least common multiple of (360/75)/(2/145) and 10.
1740
Let a(x) = x + 10. Let z be a(-10). Suppose -2*o + z*o = -10. What is the smallest common multiple of 26/(3 - o - -4) and 10?
130
Let g be (-10)/(-4)*(-20)/(-25). Let n be (-1)/(g/4) - -1. Calculate the common denominator of (-63 + 6)*n/(-8) and -53/7.
56
Suppose t - 3*t - 5*o - 7 = 0, 5*t = 5*o + 70. Let d(w) = -5*w + 1. Calculate the least common multiple of d(-2) and t.
99
Suppose 11*d = 758 + 243. Let q = d - 87. What is the lowest common multiple of 10 and q?
20
Calculate the least common multiple of 167 + ((-104)/16)/13*-2 and 20.
840
Let y = -2673/493 + 1752538/244035. Let o = y + 1/55. What is the common denominator of -63/4 and o?
36
Let a = -11/30834 + 3104957/2805894. Let r = a + 7/39. Suppose 8 = 4*w - 4, -2*n = 2*w. What is the common denominator of n and r?
7
Suppose -4*s + 83 + 29 = 0. Let u = -2007 - -4109/2. Calculate the common denominator of u and (1 - 10)*(-2)/s.
14
Let u(z) = z + 1. Let q be u(-1). Suppose -j + 1 = -r + 17, q = 2*r - 4*j - 28. Calculate the smallest common multiple of r and 30.
90
Suppose -5*x = -993 + 293. Let p(t) = -t**2 - 21*t - 46. Let g be p(-19). Calculate the common denominator of (78/g)/((-30)/x) and -41/4.
4
Calculate the common denominator of -31/35 and 146/(-91) + 36/18.
455
What is the common denominator of -11/24 and 1/(-10)*8505/10542?
6024
Let c(v) = v - 190. Let k be c(0). What is the common denominator of 4 - (4 - k/(-8)) and 39/10?
20
Let h = 504131/18 + -28000. Let q = -93063255/122 - -762819. Let y = -3/976 - q. Find the common denominator of y and h.
144
Let x = 8483/3 - 2804. Let d = -107803/10 - -10791. What is the common denominator of d and x?
30
Let c be 295 - (-5 - -4 - -3). Let m = -1751/6 + c. Find the common denominator of m and 115/6.
6
Suppose 4*c + g - 49 = 0, 2*c + 3*c + 2*g - 65 = 0. Suppose 3 = -2*r + 4*a + 15, -4*r + c = 5*a. What is the lowest common multiple of r and 12?
12
Let x be (-8)/12 + (-16)/3. Let c be 1/(-2)*(8 + x). Find the common denominator of -13/6 and c/(-48)*-10*22.
12
Suppose 2*w - w = -2*u + 16, -3*w - 12 = 0. Calculate the smallest common multiple of (-150)/4*52/(-78) and u.
50
Let g be 0 + 2*(-2)/421506. Let h = -140150771/2739789 - g. Let w = h - -6243/104. What is the common denominator of 23/6 and w?
24
What is the least common multiple of 21/12 - 210/(-168) and 99?
99
Let y(q) be the third derivative of q**6/120 + q**5/5 - 5*q**4/8 - q**3/3 + 19*q**2. Calculate the lowest common multiple of 33 and y(-13).
264
Suppose 3*w - 7*w = -u + 32, -u - 3*w = 3. What is the least common multiple of u and 4?
12
Let z = -18783031/230560182 - 1/368307. Calculate the common denominator of 77/8 and z.
2504
Suppose -7*b + 15 = -2*b. Suppose -15 = 2*h + b*h, 5*h = 3*f - 165. Calculate the least common multiple of 8/(-4)*10/(-2) and f.
50
Suppose -3*i = 3*v - 8469, -4*i + v = -0*i - 11272. Let y = i - 31043/11. Let r = 685/4 - 176. Find the common denominator of r and y.
44
Suppose 5*j = 2*g - 23, -g + 2*j - 5 = -15. Suppose m = 3*q - q - 2, 5*q - 35 = -5*m. What is the least common multiple of g and q?
12
Let r be -1 + 41 - (-1 - -5). Suppose 0 = 2*t - 8, -3*t - r = 4*a - 152. Calculate the least common multiple of a and 20.
260
Let k = -13755 - -24443. Let l be k/6*117/26. Let t = l + -47947/6. What is the common denominator of t and -125/12?
12
Suppose 0 = -5*r + 558 - 108. Suppose 0 = -2*l - 3*l + r. Let h = 116 + -96. What is the least common multiple of l and h?
180
Let l be (-2 + -3 + 4)*737. Let g = 7/156 + -1613/312. What is the common denominator of g and (1/(-3))/((-11)/l)?
24
Suppose 2*k - 233 = -i, -2*i + 277 = 5*k - 193. Calculate the least common multiple of 25 and i.
225
Let w = -4830 + 2839. Let a = 17938/9 + w. Find the common denominator of a and 61/2.
18
Let m(y) = 4*y - 6. Suppose -99 - 181 = -20*f. What is the smallest common multiple of m(4) and f?
70
What is the common denominator of (-2369)/322*(-2)/(-24) and 47/84?
168
Let h = 6393440/19 - 336608. Let q = -23457/190 - h. What is the common denominator of q and 91/36?
180
Let d(f) = 27*f**2 + 4*f - 1. Let y be d(3). Let l be (y*(-19)/(-11))/(-16). Let c = 248/11 + l. Find the common denominator of -125/18 and c.
72
Let v = -289/10 - -126/5. Calculate the common denominator of 2/(-4) + (-32)/(-5) and v.
10
Let n = -9 - 51. Let z be 40/(-6)*32/n. Let p = -97/36 - z. Find the common denominator of p and 73/12.
12
Let d = 1954 - 11801/6. What is the common denominator of d and 83/75?
150
Suppose -5*k = -62 + 17. Let a(l) = l**3 + 14*l**2 - 32*l + 7. Calculate the smallest common multiple of a(-16) and k.
63
Let t = -3307 - -46251/14. Find the common denominator of 7/30 and t.
210
What is the common denominator of 37/23 and (-912)/(-72) + (-5)/1?
69
Let l(m) = m + 24. Let i be l(-23). Calculate the common denominator of -113/30 and 33/18 + (i - 2 - 0).
30
Let p = -6254677/112 + 55841. Let m = -29/7 - p. Find the common denominator of 25/14 and m.
112
Suppose 21*r = -123 + 312. What is the lowest common multiple of 288 and r?
288
Suppose 38*j - 15 = 33*j. Suppose 60 = j*r + 3*r. Let h = -4 + 12. What is the lowest common multiple of r and h?
40
Let p(w) = 6*w**2 - 4*w + 11. Let q be p(3). Let a = q + -45. What is the least common multiple of 2 and a?
8
Let y = -141 + 181. Calculate the lowest common multiple of 6 and y.
120
Let u = 35 + -31. Suppose u*s - 24 = 48. What is the smallest common multiple of s and 6?
18
Let q(r) = -r**3 - 3*r**2 + 7*r - 2. Let u be q(-5). Let h = u + 7. Calculate the lowest common multiple of 4 and ((-2)/5)/((-4)/h).
4
Let y(a) = -100*a**3 - 2*a + 2. Let c be y(1). Let r = 93 + c. Let l = -39/31 + -1503/62. What is the common denominator of l and r?
2
Suppose 24*j - 55 = 17. Let w(b) be the second derivative of b**4/6 - b**3 + 5*b**2/2 + 2*b. Calculate the lowest common multiple of w(j) and 10.
10
Suppose 4*v = -5*m + 50, -m + 29 = -v - 2*v. Let l = 21 + -12. Suppose 3*t = -3*s + 15, 5*t - l = -3*s - 0*t. What is the least common multiple of m and s?
56
Let r = -4217/774 + 36/43. What is the common denominator of 119/48 and r?
144
Let a = 7173 - 21499/3. Let l be (-14)/((-2)/(-12)*4). Calculate the common denominator of (-136)/l - (-1)/(-3) and a.
21
Suppose 0 = 4*w - 3*w + 1, 3*w = r - 21. Let m(b) = b**2 - b - 2. Let o be m(2). Let j(f) = f**2 + 28. What is the smallest common multiple of j(o) and r?
252
Let g = -1288295/84 - -15338. Find the common denominator of g and 7/312.
2184
Let g(o) = -o**2 + o + 1. Let c be g(1). What is the lowest common multiple of (-248)/(-12) - (-48)/36 and 0 + c - (-27 - 2)?
330
Let f(q) = -q**2 - 3*q. Let p be 1 + (5 - 3/1). Suppose -p = w - 19. Calculate the least common multiple of f(-2) and w.
16
Suppose -5*p - 71*l + 1140 = -74*l, 