5*f = 5*z - 0 + 15. What is the least common multiple of 42 and f?
168
Let t(r) = r**2 - r - 3. Let b = 4 - 1. Let z be t(b). Suppose -z*l = -3*h - 8*l + 81, -3*h + 72 = 2*l. Calculate the lowest common multiple of 18 and h.
198
Let v = 46 + -1627. Let i = 10/349 - -4427/3839. What is the common denominator of (-10)/35 + v/126 and i?
66
Let b(s) = 4*s - 10. Let o be (-4)/6 + 16/6. Suppose o*i = i + 2*c + 6, -3*i + 5*c + 20 = 0. Calculate the smallest common multiple of i and b(5).
10
Let f = -13 - -38. Let n = -24 - f. Calculate the common denominator of (-4)/(-18) - n/(-18) and -75/22.
22
Find the common denominator of (2 - 38/12)*(-513)/5966 and -13/22.
6908
Let d be (-3)/((6/56)/1). Find the common denominator of (1/2)/((-18)/(-14))*-15 and (174/20)/(d/10).
84
Find the common denominator of (-596)/(-495) + 188/(-1034) and 127/36.
180
Let x(v) = -v - 7. Let z be x(6). Let k be -1 - 34*2/(-4). Let w = z + k. What is the lowest common multiple of 7 and w?
21
Find the common denominator of (9 - (-322)/(-35)) + 158/90 and (-24)/(-54)*(-111)/(-32).
72
Let d(z) = 99*z - 10. Let g be d(1). Let j = 91 - g. What is the least common multiple of 16 and j?
16
Calculate the smallest common multiple of (14/28)/(1/40) and 70.
140
Let b = 4007 - 72037/18. What is the common denominator of 143/12 and b?
36
Let z = 82 - 285/4. Find the common denominator of z and (11/(-16))/(14/(-49)).
32
Let m(g) = g - 4. Let t be m(7). Suppose -2*f = -2*j - 3*f + 20, -4*j = t*f - 44. Suppose -4*o + 5*o = 8. Calculate the smallest common multiple of o and j.
8
Let m(c) = -10*c**2 + 8*c - 20. Let d be m(6). What is the smallest common multiple of 12 and d/(-24) - 2/(-12)?
84
Let n be (3 + -2)*0 - -18. Suppose -4*y - 2 + n = 0. Suppose 0 = x + x - y. Calculate the smallest common multiple of x and 2.
2
Let o(n) = -n**2 + 4. Let s be o(0). Suppose -3*d + s = 1. What is the lowest common multiple of d and 6/15 - 0 - (-26)/10?
3
Suppose -a - 70 = 9*y - 202, -63 = -5*y - 4*a. Calculate the smallest common multiple of y and 6.
30
Let i = 741/22 + -13/11. Let z be (-12)/8 - 1/(-2). Find the common denominator of i and -3 - 2/(-16)*z.
8
Let f be (2/6)/(1/15). Suppose 4*d = 5*g + 180, f*d + 0*d - 2*g = 208. Suppose 4*z = -0*z + d. What is the smallest common multiple of 2 and z?
10
Suppose -2*s - 245 = -5*y + 215, -276 = -3*y + 2*s. Calculate the lowest common multiple of 18 and y.
828
Let q = 390/79 - 8773/1185. What is the common denominator of 70/69 and q?
345
Let h = 312049/27 - 11559. Calculate the common denominator of h and -85/12.
108
Let i = -917 - -18359/20. Find the common denominator of i and (-322)/48 + (-4)/6.
40
Suppose 149*f + 3 = 152*f. Let j = 7 + f. Calculate the least common multiple of 200 and j.
200
Let g = 169/116 + -8797/9860. Find the common denominator of g and 27/34.
170
Let k(y) = -5*y + 4*y + 8 + 5 + 6. Let t be k(12). What is the common denominator of (-24)/(-22)*t/2 and -47/10?
110
Let h(x) = -27*x - 488. What is the lowest common multiple of 43 and h(-34)?
430
Let c = 2593/8 + -322. Let a = -1/520142 + 1411405321/2080568. Let b = a + -689. Calculate the common denominator of b and c.
8
Let z = -62 + 432/7. Suppose k = -4*k - 150. Find the common denominator of -3 + (-2 - 445/k) and z.
42
Suppose 0 = -5*h + 45 - 175. What is the common denominator of 75/26 and (-2)/16*923/h?
208
Let n(k) = -k**3 + 11*k**2 - 10*k + 10. Let j(b) = 2*b**2 - 6*b + 2. Let c be j(5). Suppose -5*h = -c - 28. Calculate the lowest common multiple of 22 and n(h).
110
Suppose -b - 399 = -381. What is the common denominator of -24/7 and b?
7
Suppose 26*x = 21*x + 30. Let u = -22 - -25/3. What is the common denominator of ((-2)/(-60)*73)/((-3)/x) and u?
15
Let b = -8 + 13. Suppose -b*z = -z. Suppose 0*m - 2*m + 28 = z. What is the smallest common multiple of m and 14?
14
Let h(a) = -42*a + 5. Let w be h(2). Let f = -36 - w. Calculate the least common multiple of f and 11.
473
Calculate the common denominator of (-332)/96 + 3 + (2 - 2) and -97/20.
120
Let r = -895 - 624. Let l = r - -12129/8. Calculate the common denominator of -117/20 and l.
40
Let h = 19 + -16. Suppose -r = h*n + 10, 6*r + 12 = 2*r - 5*n. What is the least common multiple of 5 and r?
10
Let o = -1243/36 - -355/9. Find the common denominator of o and ((-5)/(-2) - 1)/(72/164).
12
Suppose -4 = -7*u + 3*u. Suppose -i + 1258 = 1242. What is the least common multiple of i and (-1)/1*(-6)/u?
48
Let r = -12/1225 - -64997/7350. Let o = 3 + -2. Calculate the common denominator of o/4 - 19/6 and r.
12
Let m be -2 - -1 - (-51477)/51474. Let v = -849331/171580 + m. Find the common denominator of v and 23/12.
60
Let f = 4 - 12. Let w = -1 - f. Suppose 64 = -w*a + 11*a. What is the least common multiple of 4 and a?
16
Let b be -5*-2*12/20. Suppose 12 = b*n - 30. What is the least common multiple of n and 7?
7
Let v be 3 + -1 + 0 + 0. Suppose v = -4*h + 2*h + d, -2*h + 4 = 2*d. Suppose -3*p + 15 + 51 = h. Calculate the lowest common multiple of p and 46.
506
Suppose -2*c = -15 - 21. Let s(j) = -j**2 + 3*j + 64. Calculate the least common multiple of s(7) and c.
36
Let x be ((-63)/(-26472))/(2 - 9260/4654). Let r = 4/1103 + x. Calculate the common denominator of r and -71/14.
448
Calculate the common denominator of (-6)/(-16) + (-3416)/8064 and -27/64.
576
Let r be (-12)/(-6) - (-2 - -1). Suppose -g + 8 = -r*g. Find the common denominator of 0/1 + 202/g and 73/40.
40
Let s(x) = 3*x - 26. Let j be s(12). Let y = -24 - -26. What is the least common multiple of 2 and j + 0 + (y - 6)?
6
Let z = 214863239793/1384 - 155247995. Let o = z + -1/173. What is the common denominator of 79/8 and o?
8
Suppose 3*q = -4*h - 44, 4*h + 32 = -2*q + 2*h. Calculate the common denominator of ((-119)/12)/(30/q) and -55/52.
468
Let v be (-11)/(-2) + 4/8. Let q = 3/206 - -4479/103. What is the common denominator of ((-99)/12)/(1/v) and q?
2
Suppose 2*n + 4*u + 18567 = -n, 4*n + 2*u + 24766 = 0. Let x = 55682/9 + n. What is the common denominator of 1/(1 + (-39)/43) and x?
36
Let v be (8/(-6))/(4/378). Let q = 38 - 41. Find the common denominator of 41/16 and 3 + q + v/40.
80
Suppose 0 = -4*b - 178 + 250. What is the least common multiple of b and 72?
72
Suppose -105 = -5*d - 5*k, -2*d + 94 = -k + 37. Let u be 1*-17 + 5 + -4. Let a = d + u. Calculate the least common multiple of a and 4.
20
Let o be -1 - 47 - (-6 + (-3 - -8)). What is the common denominator of -53/16 and o*(4 - 46/12)?
48
Suppose -w = -5*u - 14, -2*u + 4*u = 3*w - 16. Let g = w + 6. What is the lowest common multiple of 20 and g?
20
Suppose 6*c - 2*c = -h - 16, 9 = -4*h - 5*c. Suppose 22*r - 4 = 21*r. Let a = 22 - r. Calculate the lowest common multiple of a and h.
36
Let t = -1006 - -1010. Calculate the smallest common multiple of 30 and t.
60
Let y = -16978/5 + 3365. Let g = 116/5 + y. Find the common denominator of (-6)/300*-265 + 11/(-110) and g.
5
Suppose -14439 - 72481 = -5*p + 5*s, 3*p - s - 52160 = 0. Let b be 4/14 + (-4149)/p. Let u = b - -7723/3036. Find the common denominator of 69/2 and u.
22
Let n(f) = -f**3 + 8*f**2 + 4. Suppose -3*u + 30 = 6. Let q be n(u). Suppose 3*k + 1 = q. What is the smallest common multiple of 8 and k?
8
Let t(i) = i**2 + 2*i - 64. Calculate the smallest common multiple of 37 and t(-20).
296
Let x = -1/7044 - -146753/21132. Find the common denominator of (-20)/(-42)*51/(-12)*-2 and x.
126
Let m = 137 - 133. What is the smallest common multiple of m and 44?
44
Suppose 5*o = 3*o. Suppose -i + 257 + 33 = o. Calculate the common denominator of -73/10 and (i/(-135))/(2/3).
90
Let z = -4/2457 - 238313/9828. Calculate the common denominator of z and ((-11)/(385/(-14)))/((-6)/65).
12
Let n = 611843/64 - 9558. Let t = -4527/320 + n. What is the common denominator of -44/9 and t?
90
Let d = 0 + 6. Suppose -3*b = 3*g - 57, 0 = g + 4*b - 6 - 10. What is the least common multiple of d and g?
60
Let b be 342/(-66)*2/(-51). Let r = b + -129/34. What is the common denominator of 27/14 and r?
154
Find the common denominator of 3*123/9*1/(-28) and 75/62.
868
Let f = 84 - 79. Suppose 0*l - 4*w = l - 158, -509 = -3*l - f*w. What is the least common multiple of 4 and l?
356
Find the common denominator of 3 + -8 + 435/54 and 19/16.
144
Let k = 2565 - 887. What is the sm