-119310)/(-19915))/2 + -3. Let r = -363029/127456 - z. Find the common denominator of 93/8 and r.
32
Let m(h) = 3*h**2 - 46*h + 61. Let u = -3 - -9. Calculate the lowest common multiple of u and m(14).
30
Suppose 2*j - 5 = 3*k - 2*j, -5 = k - 3*j. Calculate the common denominator of 776/(-180) + k/9 and -20/7.
35
Let n = -18 - -26. Let h = -10 - 1. Let d = h - -31. What is the lowest common multiple of d and n?
40
Let s(z) = 3*z - 2. Let k be s(2). Suppose 5*v - u - 3*u = 38, k*u - 42 = -3*v. What is the lowest common multiple of 18 and v?
90
Suppose -612 = -7*q + 5*q. Calculate the common denominator of ((q/8)/3 - -1)/2 and 28/11.
88
Let t = -127 - -128. Suppose -5*b = -3*w - 0*b - 6, 5*b = -w + 18. Suppose w = 4*c - 29. Calculate the lowest common multiple of c and t.
8
Suppose 0 = 4*r + 10 + 6. Let u(x) = -2*x - 8. Let s be u(r). Calculate the smallest common multiple of 1 and 3/((-2 + s)/(-2)).
3
Let a = -335 - -343. Calculate the smallest common multiple of a and 729.
5832
Let d = 1807 - 937. Calculate the smallest common multiple of d and 6.
870
Let p(j) = -4*j - 2. Let q be p(-2). Let v be q/(-27) - 230640/(-27). Let f = v - 136717/16. Find the common denominator of f and 39/22.
176
Let a be (-19 - -15)/(1/9). Let d = 36 + a. Let m = d + 11. Calculate the smallest common multiple of 5 and m.
55
Suppose 4*g + 164 = 4*d, -2*g + 57 = -4*g - 3*d. Find the common denominator of 3 + (-66)/20 - 1 and 0 - (0 - (-266)/g).
90
Suppose 4*u = 58 - 18. Suppose 7*h - 6*h = u. Suppose -20 = 5*b, 3*y - 63 + 7 = 5*b. Calculate the least common multiple of h and y.
60
Suppose -p + 5*y + 0*y = 19, 5*p = 5*y + 5. Let z(x) = -12*x + 102. What is the smallest common multiple of z(8) and p?
6
Let l = 17 - 10. Let i = -1 + l. Let d(o) = o**2 - 3*o + 4. What is the least common multiple of d(i) and 16?
176
Suppose 9 = -3*a + 27. What is the smallest common multiple of 7 and a?
42
Suppose 865 = 9*y + 190. Calculate the lowest common multiple of y and 15.
75
Let i = -3530 - -38804/11. Calculate the common denominator of -9/22 and i.
22
Let z be (-8)/10*50*1. Let o(n) = 5*n + 164. Calculate the least common multiple of o(-32) and (-1)/(-3) + z/(-6).
28
Suppose -4*k + 2*m + 8 = -0*m, 4*m = -k + 2. Let n = -14 + 25. Let s = -9 + n. What is the least common multiple of k and s?
2
Let j = -108/25 - -1563/275. What is the common denominator of 41/7 and j?
77
Let n be ((-3448)/(-2))/(5 - 3) - 3. Let r = n + -6837/8. Let j = 162539/12 - 13555. Calculate the common denominator of j and r.
24
Let f(x) = -5*x + 1. Let y = 7 + -12. Let c(t) = -10*t + 2. Let a(i) = y*f(i) + 3*c(i). What is the lowest common multiple of 11 and a(-2)?
11
What is the common denominator of 90/108 + 1191/(-360) and 58/15?
120
Let w = -31 - -33. Suppose -7 = -v - k, -2*k = -0*k + w. What is the least common multiple of v and 10?
40
Let h = -41441/22 - -1883. Let j = 9861 - 5275623/535. Let x = -51823/3210 - j. Calculate the common denominator of h and x.
66
Let s(i) = -i**2 - 7. Let a be s(5). What is the common denominator of (-134)/a - (-4 + 2) and 61/4?
16
Let h = -1312/5 + 35509/135. Find the common denominator of h and (48/288)/((-18)/196).
27
Suppose 8*z = 4*z - s + 148, z - 4*s - 20 = 0. What is the smallest common multiple of z and 28?
252
Let c(t) = 7*t**2 - t. Let r = -1 - 0. Let s = -29 - -40. What is the lowest common multiple of s and c(r)?
88
Suppose 0 = 129*r - 390 - 1416. What is the least common multiple of r and 62?
434
Suppose -3*j - 137 = 19. What is the smallest common multiple of 26 and 8/j + (-30)/(-26)?
26
Let u = -1936 + 19329/10. Suppose -10*y + 4*y - 5310 = 0. What is the common denominator of y/(-12)*2/15 and u?
30
Let t = -1/122 - -2046/305. Let f(h) = 659*h - 1. Let x be f(1). Let k = x + -1269/2. Find the common denominator of t and k.
10
Let s = 2941/7 + -283. Let k = 138 - s. Find the common denominator of k and (5 - 1) + 858/104.
28
Let j = 1300 - 468. Let c = 59074/71 - j. Let q = c - -6299/710. Calculate the common denominator of -35/4 and q.
20
Let q(r) = 3*r**3 + 5*r**2 - 5*r - 2. Let x(f) = 4*f**3 + 5*f**2 - 5*f - 2. Let l(i) = -5*q(i) + 4*x(i). What is the smallest common multiple of 30 and l(5)?
270
Suppose 0 = -2*c - 22 + 76. What is the lowest common multiple of c and 5?
135
Suppose -3*r = -6*r. Suppose 3*l + 3 = r, l - 2*l = a - 2. Suppose -a = -4*g + 3*g. What is the lowest common multiple of g and 1?
3
Suppose 4*h - 99 = 2*t + 5111, -2*h + 3*t + 2599 = 0. What is the least common multiple of h and 8?
1304
Let o(v) = -v**3 + 13*v**2 - 2*v + 19. Let n be o(13). What is the common denominator of 21242/1820 - (-4)/n and 49/9?
90
Let q = 1271 - -149. Let f = q - 831. Let b = -8363/14 + f. What is the common denominator of -69/10 and b?
70
Calculate the common denominator of (-12)/42 - 6/((-378)/1383) and 23/300.
300
Let z = 63 - 63. Suppose r - 5 - 6 = z. Calculate the least common multiple of r and 6.
66
Suppose 11*d + 20 = 12*d. Suppose -106*a + 110*a = d. Calculate the lowest common multiple of 4 and a.
20
Let c(s) = s - 1. Let t be c(-11). What is the smallest common multiple of 27 and ((-3)/9 - -1) + t/(-9)?
54
Let t be ((-2)/3)/(-2*4/24). Calculate the common denominator of 57/2 and 715/(-240) + t/3.
16
Let z(k) = 10*k + 3*k**3 - 5*k**3 + 7*k**2 + 1 + 3 + k**3. Let f be z(8). Suppose -f = 8*i - 9*i. What is the lowest common multiple of i and 6?
60
Let g be (2248/(-20))/(-1) - (-6)/(-15). Suppose g = 4*w + 3*w. Let l(r) = -2*r. What is the smallest common multiple of w and l(-4)?
16
Let f = -5941 - -47429/8. What is the common denominator of f and 23/9?
72
Let d = 2 + -1. Calculate the least common multiple of d and 5 + (3 - -2 - -1*3).
13
Let g be ((-12)/(-498)*25/2)/(-1). Let t = g + 1413/1660. Calculate the common denominator of t and ((-12)/10)/(8/(-145)).
20
Suppose -4*w = -8, 3*y = 4*w - 497885 - 961203. Let s be 10/(-35) - 1428374/y. Let z = 2/1737 - s. Calculate the common denominator of z and 1/20.
20
Suppose 3*c = 5*u + 35, 0 = 4*c + 4*u + 1 - 5. Suppose 0 = -c*p - v + 65, 3*p + v = -v + 39. Calculate the smallest common multiple of p and 11.
143
Let r = -30857419 + 12404689573/402. Let d = r - 106/67. Let i = -92849/9570 + 2/957. Calculate the common denominator of d and i.
30
Suppose 5 + 20 = 5*i + 5*u, -2*i = 4*u - 18. What is the common denominator of 951/(-36) + 6 - i/(-4) and -23/18?
18
Let t be -3 + 3672/(-3 - -6). What is the common denominator of 12/(-30) - t/(-90) and 127/6?
6
Let a = 21 - 13. Suppose 4*k - s = 6 - 0, -s + 12 = 5*k. Calculate the lowest common multiple of k and a.
8
Suppose -2*i = -3*z + 434, 2*z + 1085 = -5*i - 3*z. Let u = 112 + i. Calculate the common denominator of (-2)/(-6) + 5/u and -7/22.
154
Let o be (6/46)/((-36984)/16). Let b = 4217681/637974 - o. Find the common denominator of 13/24 and b.
72
Let s = 3428158/154985 - 6164/695. Let c = -1/4460 + s. What is the common denominator of c and -47/40?
40
Let p = 193171387/16 + -12079759. Let d = 6543 + p. What is the common denominator of 73/24 and d?
48
Let v = -1557/5 + 313. Find the common denominator of 109/50 and v.
50
Suppose 18 = 2*b + 8*m - 6*m, -4*b = -m - 21. What is the least common multiple of b and 18?
18
Let y(a) = -a**3 + 5*a**2 - 6*a + 2. Let m be y(5). Let k = -10 - m. Suppose -62*j - 31*j = -19*j - 2368. Calculate the least common multiple of j and k.
288
Suppose 10*z - 206 = -56. Calculate the common denominator of ((-12)/15*-2)/((-2)/z) and -13/5.
5
Suppose i = -5*w + 50, -3*i - 50 = -5*w - 2*i. Calculate the lowest common multiple of w and 80.
80
Calculate the common denominator of 30/(-12)*34/4 and -97/1018.
2036
Let m be 1/(-2)*12982/7. Let i = m + 129099/140. Find the common denominator of i and 8/6*274/16.
60
Let h(w) = w - 24. Let l be h(8). What is the common denominator of (1 - l/(-5))*5/(-8) and (-3)/165*505/(-2)?
88
Let y = 398639/34070 + -2/3407. Let g be 4221/(-45)*1/(-23). Let f = 11/23 - g. Calculate the common denominator of y and f.
10
Let m(f) = -5*f - 4. Suppose 32 = 7*x - 3*x. Calculate the lowest common multiple of m(-4) and x.
16
Suppose -25*s + 24 = -21*s. Suppose 0 = -s*c + 3*c + 3. Let h(i) = i**2 + i + 10. What is the smallest common multiple of c and h(0)?
10
Let h = 24825 + -17138. Let q = -107689/14 + h. What i