culate the least common multiple of c and s.
252
Suppose -351 - 100 = -11*n. Suppose 48 = n*f - 38*f. Calculate the least common multiple of f and 236.
944
Let b be (2/(-1))/(4/(-176)). Find the common denominator of 9/20 and (-289)/b + 24 + -21.
440
Let s(x) = -x**2 + 30*x - 2. Let k be s(13). Suppose 3*u - k = -198. Calculate the smallest common multiple of u and 87.
609
Let w(n) = -3*n + 9. Let x be w(4). Let r be 1*206/8 - x/12. What is the common denominator of -37/24 and (206/8)/(143/r)?
264
Let f be -1*5631*3/(-18). Suppose z + 4*z - 982 = -m, 3*m = -2*z + 2881. Let i = m - f. Find the common denominator of 48 and i.
2
Let i(f) = f**2 + 4*f + 8. Let j(k) = -6*k + 7. Let w be j(2). Let q be w*((-4)/(-12) + 39/45). Calculate the lowest common multiple of 12 and i(q).
60
What is the least common multiple of 12 and -2 + -13 - (-466 + 7)?
444
Let g(r) = 538*r - 3589. Calculate the smallest common multiple of 44 and g(8).
2860
Let z = -6512 - -6524. Calculate the lowest common multiple of z and 177.
708
Let g(f) = f**3 + f**2 - f + 38. Let d be g(0). Suppose -9*q = -52 - d. Suppose 5*p + 4 - 9 = -5*i, p - i = 7. Calculate the lowest common multiple of p and q.
20
Let z(a) = 2*a**2 - 7*a + 6. Let w(m) = -264*m - 11877. Calculate the smallest common multiple of z(5) and w(-45).
21
Calculate the smallest common multiple of 1963 and (2/(-10)*9*860/258)/(-2).
5889
Let b = 145940 + -60711109/416. Calculate the common denominator of b and 16/39.
1248
Let r = 9 - -6. Let q = r + -35. What is the common denominator of 3 + 75/q + 638/72 and 43/21?
63
Suppose 4640 = 4*f - 2*a, 2*a = 49*f - 52*f + 3494. What is the least common multiple of 22 and f?
12782
Suppose n - 2*n = 3*x - 26, 23 = 4*x - n. Suppose 4*a = -12*q + x*q + 125, 0 = -2*q - 2*a + 52. What is the smallest common multiple of 18 and q?
126
Let f = 29058 - 49788. Let l = -414699/20 - f. Calculate the common denominator of l and -95/8.
40
Let n(s) = 7*s**2 + 2*s + 4. Suppose 0 = 11*c + 26*c + 37. Calculate the lowest common multiple of 27 and n(c).
27
Let z = 31 - 32. Let o be 0 + z + 8/132*161. Let y = o + -9. What is the common denominator of y and 19/8?
264
Suppose -5*j = -f + 15, 6*j - 4*f + 24 = 4*j. What is the common denominator of j*(-582)/24*(-1)/5 and 79/26?
130
Suppose g - 32 = -4*w, -6 + 3 = -3*w. Suppose -g = -7*z + 28. What is the smallest common multiple of z and (0 - 4)*(-15)/20?
24
Calculate the common denominator of 31/255 and 6/180*-9*366/306.
510
Let v = 13/382 - -8658/955. Suppose -4*j - q = -2 + 9, 2*j + 4*q = 0. What is the common denominator of (2 - -144)*j*(-4)/(-128) and v?
40
Let u be (3 - 0)/(-1*24/232). What is the common denominator of 12/u*((-143)/22)/(-13) and -95/12?
348
Let b = 1824033/49246289 + 4/52223. Find the common denominator of b and 37/253.
10373
Suppose 2*c = -8, -u + 2*u = 4*c + 15. Let t = -31/5 - -667/60. What is the common denominator of -6*u/2 - 1488/320 and t?
60
Suppose 3*d - 30 = -3*f, -2*f = -5 + 1. Let s = -13 + 15. Find the common denominator of (s/30)/(d/(-99)) and 39/20.
40
Suppose -o - 6 = -3*o + 2*t, -4*o + t = -15. Suppose 3*r = -2*c + 296, o*c = -r + c + 108. What is the least common multiple of 28 and r?
672
What is the common denominator of 106/(-265) - (-5)/(1100/513) and -3/88?
88
What is the smallest common multiple of ((-16)/24*67)/(3/(-9)) and 10?
670
Let p = -4377/4 + 153241/140. Let r = -1197 + 5922/5. What is the common denominator of r and p?
70
Find the common denominator of (-11)/2496*(-23 - (-7596)/324) and 62/39.
5616
Let a = 7926 + -79179/10. Let f = -71341/500281 + 1/2371. Let y = f - 5127/4009. What is the common denominator of a and y?
190
Let a be ((-66)/4)/(5/60). Calculate the common denominator of (-388)/6*(-3 + a/(-64)) and -17/16.
16
Let n = -3506 - -3842. Calculate the least common multiple of n and 432.
3024
Let u = -38 - -72. Let i = 1 + 4. Let z(t) = 3*t - 7. What is the lowest common multiple of u and z(i)?
136
Let x(s) = -s**3 + 23*s**2 + 22*s + 17. Let g be x(18). Let o = g + -38644/19. Calculate the common denominator of 19/5 and o.
95
Let f be (455/26)/(4/168). Calculate the common denominator of -33/8 and (-12)/60 + (-33)/f.
392
Suppose -2*v - 2*h = -56, -877*v = -879*v - h + 54. Suppose -260 = -t - 3*t. What is the smallest common multiple of v and t?
130
Let y = 777 - 546. Let z = 240 - y. What is the smallest common multiple of z and 15?
45
Let y(s) = -s**2 + 3*s - 6. Let p be y(-5). Let n = 76 + p. Calculate the least common multiple of (-4)/46 + (831/345)/(18/180) and n.
120
Suppose -4*p + 56 = 2*s, 4*s + 18 = -3185*p + 3187*p. Suppose a = 2*a + 4*y - 52, 5*a - 260 = 5*y. Calculate the least common multiple of a and s.
52
Let a(r) = r + 8. Let m be a(-4). Let l be 1117738/(-132)*2/m. Let h = l - -4234. Find the common denominator of h and 53/10.
660
Let n = 2 + 4. Find the common denominator of 1813/(-539) + 56/9 + (-18)/81 and (-123)/n*1/7.
154
Let p = 342 - 337. What is the lowest common multiple of p and 60?
60
Let t = 304 + -279. Suppose 0 = -o - 5, 7*l + o = 2*l + t. Calculate the smallest common multiple of 44 and l.
132
Suppose -5*m - 2*w - 1302 = -2*m, 5*m + 2170 = -2*w. Calculate the common denominator of (21/10 + -2)/((-93)/m) and -74/3.
15
Suppose -9*a + 301 + 77 = 0. Let t(u) = u**3 + 12*u**2 + 9*u - 1. What is the lowest common multiple of ((-108)/a)/(1/(-7)) and t(-11)?
126
Let q(p) = 22*p - 2. Let h(u) = u**3 - 14*u**2 + 53*u - 17. What is the smallest common multiple of h(7) and q(16)?
3850
Calculate the common denominator of (-1135)/660*2*(-16)/32 + -1 and -61/738.
16236
What is the common denominator of 13 - 16314/888 - 3/(-2) - -4 and 73/518?
1036
Let p be (-7)/(-364)*-8 - (-10560)/26. What is the least common multiple of 10/25 + 1/(35/p) and 56?
168
Let c = -37 + 34. Calculate the common denominator of (6/(-4))/((-66)/(-36)) and 19/c - (-4 - (-3 - 3)).
33
Let w be 4 + 4/(-12)*0. Let j(q) = q**3 - 5*q**2 + 7*q. Calculate the least common multiple of ((-40)/4)/((-2)/4) and j(w).
60
Let d = 39/2428 - 57253/12140. What is the common denominator of d and 7/18 + 1/(-3)?
90
Suppose 0 = -5*v - 4*z - 6318 + 35899, -5*z + 17759 = 3*v. Find the common denominator of 1 - (-8)/(-5) - v/(-38880) and 79/20.
480
Let t = 2530 + -2482. Calculate the lowest common multiple of t and 472.
2832
Suppose -233*l + 3291 = -1835. Let c(u) = -u**3 + 3*u + 2. Let y be c(-2). Calculate the least common multiple of y/(-14) - (-44)/7 and l.
66
Let b(n) = -2*n**3 + 31*n**2 + 17*n - 11. Let p be b(16). What is the common denominator of 9/175 and (72/(-45) + -8)*p/(-7)?
175
Let n = -61 - -54. Find the common denominator of (-348)/15*2/4 and (-76)/(-6) - (-3 + (-4 - n)).
15
Let r be 0/((3 - 0) + -1). Let b(l) be the second derivative of -l**4/12 + l**3/3 + 112*l**2 + 6*l. What is the least common multiple of b(r) and 12?
672
Let b be 1/47*(-39 - -5). Let y = 9637823 + -2717872885/282. Let r = b + y. Calculate the common denominator of r and -39/19.
114
Let t be -15101*16/((-40)/10). Let r = 8698141/144 - t. What is the common denominator of 139/90 and r?
720
Let c = 92 - 52. Let b = -43 + c. Calculate the smallest common multiple of 12 and (-18)/(-27) - 13/b.
60
Suppose 2*r + 3*d - 13 = 0, 0 = d - 2 - 1. Suppose 5 = 5*w, 0 = r*y + w - 9 + 2. Calculate the least common multiple of y*(-21)/(-9) + -1 and 8.
24
Let u(z) = z**3 + 10*z**2 + 10*z + 466. What is the lowest common multiple of u(-12) and 667?
1334
Suppose -20*g - 7 = -16*g - 5*h, -13 = g - 5*h. Suppose -76 = -5*x + 3*x. Calculate the smallest common multiple of x and (-1 + (-1 - g))*(-3)/6.
38
Let i(t) = 10*t - 167. Let q be i(20). Suppose -10*b + q*b - 92 = 0. What is the smallest common multiple of 119 and b?
476
Let b(c) = c**2 + 6*c - 10. Let n be b(4). Calculate the common denominator of (n/40)/(27/272) and -20/33.
99
Find the common denominator of 9807/(-945) - 6/27 and (165/54)/(1/3).
30
Suppose 2*s + 6 = 22. Let d(r) = 10 + 12 - s - r**2. What is the lowest common multiple of 4 and d(0)?
28
Let k be -34 + 28 + (-154695)/(-36). Let q = -4297 + k. Find the common denominator of q and -1/9.
36
Let u(a) = a**2 + 38*a + 67. Let r be u(-32). Let t = r - -133. What is the lowest common multiple of t and 18?
72
Let k = -31771/20760 - -14/2595. Let 