Let t be (-85)/(-20) + 6/8. Suppose -t*h + 47 = -2*z, 6*h - z - 19 = 4*h. Let v = h + -2. Calculate the smallest common multiple of v and 6.
42
Let j = -2 + 15. Suppose j*n + 42 = 20*n. Suppose -5*b + 22 = 2. What is the lowest common multiple of b and n?
12
Suppose -10*p = -6*p - 40. What is the common denominator of p/(-12)*(-540)/96 and -61/3?
48
Suppose -k = -0*k. Suppose -5*t + 10591 = 2*r, -3*t + 6363 = -k*t - 3*r. Let y = 38123/18 - t. Find the common denominator of y and -107/22.
198
Let v be (-12)/20 - 40656/15. Let b be 134/(-10)*1618/(-8). Let s = b + v. Calculate the common denominator of -139/12 and s.
60
Let n(j) = -j - 1. Suppose -4*i - 10 - 2 = 0. Let h be n(i). Find the common denominator of 77/8 and h/8*-2*39.
8
Suppose -2*j = -0*j + 194. Let k = j - -165. What is the smallest common multiple of 14 and k?
476
Suppose t = -2, 2*x - 3*t - 2 = -8*t. What is the lowest common multiple of 27 and x?
54
Let d = 159 - 151. Let j = 1 - 1. Suppose 4*k + 5*n = -j*n + 7, -9 = 2*k + 5*n. Calculate the least common multiple of d and k.
8
Let t = -2293/531 + -132/59. Let x = -31 - -17. Calculate the common denominator of 2/(-36)*x*-1 and t.
9
Suppose 4*r = d - 195 + 39, -d = -5*r - 196. Let z = r + 48. Let b = z - 0. What is the least common multiple of b and 8?
8
Suppose 0 = -z - 1 - 3, 708 = 4*k + 5*z. What is the least common multiple of 63 and k?
1638
Suppose 2*l - 4 = -z + 3, 3*l = 5*z + 17. Suppose -4*m - 13 = -s, 0 = 5*m + l*s + 25 + 7. What is the common denominator of m/(-14) - (-470)/168 and 77/4?
12
What is the common denominator of (2/(-45))/(11/(-352)) and -62/35?
315
Suppose 2*z - 28 = 2*c, -3*c + 14 = z - 5*c. Suppose -4*w = -4*m - 52, -4*m + 53 = 3*w - 7. Calculate the least common multiple of z and w.
112
Let s(i) = i**2 - 64 + 66 - 2*i - i. What is the smallest common multiple of s(4) and 22?
66
Let y(l) = -2*l - 10. Suppose -5*w - 26 = 4. What is the least common multiple of 1 and y(w)?
2
Suppose 2*x = 7*x - 40. Let m(d) be the second derivative of 17*d**5/20 - d**3/6 + 9*d. What is the smallest common multiple of m(1) and x?
16
Let k = 266981/28 - 9533. What is the common denominator of 113/28 and k?
28
Suppose 5*d - 48 = 4*v + 2, 0 = 4*d - 5*v - 49. Calculate the lowest common multiple of 3 and d.
6
Let y = -235/6 - -496/15. What is the common denominator of (-6)/16*(-4)/(-6) and y?
20
Let h be (4 + 0)*6/(-12). What is the common denominator of (-466)/(-36) + h - 3 and 41/2?
18
Let j = 33013/20 - 1646. Suppose -9642 + 2382 = -5*v. Let r = v - 13132/9. Calculate the common denominator of j and r.
180
Let y = 52 - 28. Calculate the least common multiple of 42/15 - (2/(-6) + 2/15) and y.
24
Suppose -610 = 7*t - 71. Calculate the common denominator of (t/11)/(0 - 36/33) and 47/8.
24
Suppose 11*p - 7*p = 288. Suppose -2*x + p = x - 4*r, 2*x - 49 = 3*r. Calculate the smallest common multiple of 24 and x.
120
Let g = 761/870 + -36/29. Find the common denominator of g and 73/51.
510
Let l = -2627 + 84101/32. Calculate the common denominator of (-60)/8*(-44)/80 and l.
32
Let n be 3 + 0 - (-3 - 43). Let h = -28 + n. What is the least common multiple of 15 and h?
105
Let i = -36137/787 + 106836812/2372805. Let d = -1/335 - i. Let r = -6838/9 + 130381/171. What is the common denominator of d and r?
171
Suppose 2*j + j = -x + 24, -5*x - 4*j = -76. What is the least common multiple of 27 and x?
108
Suppose -v + 7 = 2*s - 13, 5*s = 2*v + 59. Calculate the lowest common multiple of ((-18)/27)/(2/(-9)) and s.
33
Let q = 102 + -94. What is the least common multiple of q and 4?
8
Let m(a) = a**2 - 13*a + 14. Let n be m(12). Suppose -3*w = n*p - 0*p - 3, -p = 3*w - 6. Suppose -y + 0 + w = 0. What is the least common multiple of 17 and y?
51
Suppose 32 = -4*l - 4*l. What is the least common multiple of 6 and 299/39 + l/6?
42
Suppose -52 = l - 397. Suppose -2*z - 22 + 197 = 5*k, -2*k = 10. Find the common denominator of 17/12 and l/z + (-1)/(-1).
60
Let f = 4644 + -3129. Find the common denominator of 27/48 + (0 - 0) and (1 - -3) + f/(-240).
16
Let r = 1138727/1042200 + -1/38600. Calculate the common denominator of -91/36 and r.
108
Let v = -869 - -6816. Let l = -95233/16 + v. Calculate the common denominator of 11/16 and l.
16
Let k = 665/18 - 238/9. Let f = -168 - -169. What is the common denominator of (6/5)/(f - (-335)/(-350)) and k?
2
Suppose -3*z - 3*g = -4*z + 17, 45 = 5*z - 5*g. What is the smallest common multiple of z and (-77)/(-5) + 2/(-5)?
15
Suppose -2*w = -4*c - 8, -5*c = w - 4*c - 1. What is the common denominator of w/(-4) - 120/(-18) and 21/4?
12
Let t be 6/(-2) + (-955)/2. Let m = t + 440. What is the common denominator of m and (-3)/(-6) + (-274)/24?
12
Let y(m) = 8*m**3 + 71*m**2 - 8*m + 17. Calculate the smallest common multiple of y(-9) and 113.
904
Let j(k) be the second derivative of 0 - 1/2*k**3 - 3/2*k**2 - 8*k. What is the lowest common multiple of 6 and j(-3)?
6
Suppose i = 3*k - 4*i - 115, 0 = 2*k - 4*i - 78. What is the common denominator of 274/(-20) + (-28)/k and 79/18?
18
Let p be (18/(-15))/((-2)/(-5)). Let m(r) = -7*r - 7. Calculate the lowest common multiple of 10 and m(p).
70
Let r = 145199/14 - 10379. What is the common denominator of -113*1/6 - -2 and r?
42
Suppose 4*z + 3*o = 52 + 95, 5*o - 124 = -3*z. Calculate the least common multiple of z and 477.
5247
Suppose -8*r + 3*r + 240 = 0. What is the lowest common multiple of r and 15?
240
What is the common denominator of (-1639)/(-792) + (-2)/16 and -43/3?
18
Find the common denominator of ((-18)/40)/((-55)/60) and 56/3.
165
Let w be 3*1*(-2 - 32/(-12)). Suppose w*j = -8*j + 200. Calculate the smallest common multiple of j and 26.
260
Let z(x) = 2. Let m(t) = t + 2. Let w(r) = -2*m(r) + 3*z(r). Let j = 73 - 76. Calculate the smallest common multiple of w(j) and 8.
8
Suppose 15*a - 20*a = 4*u - 23, 0 = -2*u + 5*a - 11. Suppose 72 = 4*r - 0*r. What is the least common multiple of u and r?
18
Let m = 569 - 554. Calculate the lowest common multiple of 235 and m.
705
Let g = 20 + 2/3. What is the common denominator of -59/51 and g?
51
Let i = -629/3 - -76753/366. Let f = -1756/427 + i. Find the common denominator of 17/14 and f.
14
Let u be (-10)/3*(-120)/(-50). What is the common denominator of 119/12 and ((-242)/120 + 2)/(u/(-1150))?
48
Let y(z) = -z**2 - 11*z - 26. Let g(f) = 8 + 8*f**2 - 3*f - 1 + f**3 + 3*f**2. Calculate the lowest common multiple of y(-6) and g(-11).
40
Suppose 5*j - 2*p = 17, p - 5*p + 6 = -2*j. Suppose 0 = 4*c + 3*z - 11, 5 = 2*c - 0*z + z. What is the lowest common multiple of 4 and j/(1 + 2 - c)?
20
Let v = 4110/469 + -17001053/2814. Let y = v + 6013. What is the common denominator of 75/16 and y?
48
Suppose 44 = -5*g + 9. Let c(r) = r**3 + 7*r**2 - 3*r - 3. Let f be c(g). Find the common denominator of (4 - 16)*16/f and -115/14.
42
Let d be (9624/(-10))/((-18)/60). Let o = d + -128303/40. Calculate the common denominator of 79/2 and o.
40
Suppose 5*y - y = 132. Calculate the lowest common multiple of 123 and y.
1353
Let n be ((-3)/(-28098))/((-6)/(-36189)). Let j = n - 1/892. What is the common denominator of j and -49/4?
28
Let h be (-16)/(-40) + 44/(-10). Let j(m) = 3*m**3 - m**2 - m - 6. Let q be j(h). What is the smallest common multiple of (-2)/(-6)*q/(-10) and 3?
21
Let h = -493190/57 + 8653. What is the common denominator of h and 39/76?
228
Suppose -15 - 5 = -10*w. What is the common denominator of 8 + -10 - 77*w/(-12) and 1 + 50/18 + -1?
18
Let d be (-26)/10 - 4/10. Let v = d - -7. Calculate the least common multiple of 2/(-14) - (-580)/140 and v.
4
Let v = 2 + 1. Let i(k) = -63*k - 752. Calculate the smallest common multiple of i(-12) and v.
12
Let p = 535375/18 - 29735. Find the common denominator of p and 6/12*(-202)/(-12).
36
Let s = -18 - 22. What is the common denominator of (-1)/(-2) + (-316)/s and -113/10?
10
Let q be -1*((-630)/(-633) - 1). Let g = 24259/1266 + q. Calculate the common denominator of g and -137/18.
18
Let m(h) = 2*h**3 - 39*h**2 + 21*h - 28. Let l(k) = k**2 - 2*k + 2. Let u be (0 + (4 - 1))/1. Calculate the lowest common multiple of m(19) and l(u).
10
Let y = -5 + 15. Let m = 349 - 329. What is the smallest common multiple of m and y?
20
Let d = 40 + -36. Calculate the least common multiple 