he smallest common multiple of -9*(2 + 1 + -5 + -3) and 30?
90
Let r(c) be the first derivative of 4*c**3/3 - c**2 - 2*c - 4. Suppose -3*f + 1 + 5 = 0. What is the lowest common multiple of r(2) and f?
10
Let b = -29/1572 + -1777/223224. What is the common denominator of b and 47/22?
6248
Let z = -43 - -55. Find the common denominator of (-2229)/(-90) + (1 - z/20) and 37/94.
282
Suppose 0 = 5*a + 3*t - 23, 2*t + 15 = 4*a + t. What is the lowest common multiple of 4 and a?
4
Find the common denominator of 8/123 and (-120)/(-150) - (-89)/120.
984
Suppose 0*s = 2*s - 14. Let f be -1 - s/(14/(-8)). Find the common denominator of -9/20 and f - ((-69)/(-66) - 3).
220
Calculate the common denominator of -83/326 and (1/(-20))/((-1)/198).
1630
Let x = -1927 + 9607/5. Find the common denominator of 59/175 and x.
175
Let a = -26632/3 + 319735/36. Calculate the common denominator of 41/18 and a.
36
Suppose -3*o - 2*p - 7 = 0, 2*o - 38 = 4*p - 16. Calculate the least common multiple of o and 2 + 2*(-2 + 3).
4
Suppose 0 = 2*n - 6*n + 192. Suppose n + 99 = 7*x. Calculate the smallest common multiple of 3 and x.
21
Suppose -8 = -2*q, -4*q = 5*s - s - 64. Calculate the smallest common multiple of 48 and s.
48
Let a(i) = 2*i**2 - 5*i - 4. Let k be a(4). Let x be ((-2)/(-6))/(9/(-18))*6. Calculate the lowest common multiple of 4 and x + 1 - k/(-2).
4
Let h be (7/(-4))/((-3)/12). Suppose -5*w + 20 = 0, -h*f + 2*f + 3*w = -108. What is the least common multiple of f and 40?
120
Find the common denominator of 79/165 and (-77)/(-36) + (11 + -6)/(-20).
495
Let m be ((-5)/10)/(4/(-160)). Suppose -5*w - m = 0, 3*p - 6*p - 3*w - 78 = 0. What is the common denominator of (p/16)/((-72)/(-416)) and 71/12?
36
Let d = 2341 - 2333. Suppose -16 = -5*x + 9. Calculate the least common multiple of d and x.
40
Suppose 4*a = 5*b + 41, -2*a - 2 - 10 = 4*b. Suppose -20 = -a*q + 4*n, 3*q + 2 = 4*q - 2*n. What is the least common multiple of q and 12?
24
Let x = 811 - 810. What is the lowest common multiple of 32 and x?
32
Let n = 21 - 10. Let d be (3/(-6))/1*-10. Suppose -d*w - 3*p + 41 = 0, -w - 2*p + 13 = p. What is the smallest common multiple of n and w?
77
Suppose 3024 = -12*n + 28*n. What is the least common multiple of n and 162?
1134
Let h = 24918/23 + -310099/92. Let f = 2268 + h. Find the common denominator of f and 69/10.
20
Let d(q) = -20*q**3. Let h be d(1). Let m(a) = 2*a**3 + 12*a**2 - 15*a - 58. Let l be m(-6). What is the common denominator of -133/6 and ((-45)/(-6))/(l/h)?
48
Suppose 14 = 2*a - d, 17 = 4*a - d - 15. Let k(v) = 2*v**3 - 2*v**2 - 2. Let w = -13 - -15. Calculate the lowest common multiple of k(w) and a.
18
Let x be 2/3 + (-2)/3. Let f(q) = -q**3 + q**2 + q + 11. What is the smallest common multiple of f(x) and ((-12)/10)/((-2)/10)?
66
Let c = 13057 - 91431/7. Let g = 2281/47 - 3/94. Find the common denominator of c and g.
14
Let h(f) = 3*f + 1. Let b be h(-1). Let a = b + 4. Suppose -2*g - 3*y + 3 = 0, 4*g - 4*y = -1 + 57. What is the lowest common multiple of g and a?
18
Suppose -3*i + 326 = -5*n - 174, -5*i - n + 796 = 0. Calculate the lowest common multiple of i and 160.
160
Let p(f) = 2*f + 7. Let h be p(-3). Let n = 21 + h. Calculate the lowest common multiple of n and 12.
132
Let n = 13 + -9. What is the smallest common multiple of n and 5?
20
Find the common denominator of 73/80 and -1 + (525/224 - -1).
160
Let d = 22027/440 - 546/11. Let a = 481/40 - d. What is the common denominator of 11/10 and a?
10
Let b(k) = 2*k + 7. Let p = 32 + -16. Let v be b(p). Suppose -2*u + 4*m + 26 = 0, -2*m + 5*m = -5*u + v. What is the least common multiple of u and 2?
18
Let u = 42 - 34. Suppose 0 = -2*j + 3*y + u, -5*j + 3*y = -0*y - 20. Suppose 3*s - 32 - j = 0. What is the lowest common multiple of 24 and s?
24
Let t = 36927 + -4837407/131. Let p = t - -7751/1048. What is the common denominator of p and -75/22?
88
Let t = -917141/36 - -25478. What is the common denominator of t and -51/11?
396
Suppose 11*t - 7*t = -8. Calculate the common denominator of -99/14 and t/3*801/120.
140
Let t = 62 + 34. Suppose 5*z - t = z. What is the lowest common multiple of 8 and z?
24
Let z = -6269 - -62619/10. Let t = -18/149 - 10923/2086. Find the common denominator of t and z.
70
Let d(n) = -8*n - 9. Let p(a) = 7*a + 8. Let x(y) = -6*d(y) - 7*p(y). What is the smallest common multiple of x(-9) and 9?
63
Let g(u) = u**2 + 20 + 15*u - 5*u**2 + 0*u**2 + 3*u**2. Suppose -2*c + 28 = -z, -4*c + 9*c - 80 = 5*z. Calculate the lowest common multiple of g(16) and c.
12
Let y be (-2)/(-2)*(5 + -3). Suppose f - 6 = q - 2*f, -5*q - y*f - 30 = 0. Calculate the common denominator of 9/14 and 2/(-48) + q/18.
56
Find the common denominator of 51/40 and 228/152*(-116)/690.
920
Let h be 2 - (0 + 2 + 4). Let a be 32/h - 2/2. What is the common denominator of 151/30 and (2/(-15))/(24/a)?
60
Let n be 35/(-2)*(-4)/7. Suppose -x + 6 = -n. What is the smallest common multiple of x and 16?
16
Let d = -50650/2425429 - 750127483031/47943455043. Let r = -2/6589 - d. Let m = 44 + -21. Find the common denominator of m and r.
3
Let n = 111957/14 - 7993. Find the common denominator of -23/70 and n.
70
Calculate the common denominator of ((-5607)/2832 - (-16 - -14)) + 0 and 95/12.
2832
Suppose x - 1 = -4*q + 4*x, 5*q - 8 = -3*x. What is the least common multiple of 1 - (-3)/((-12)/(-8)) and q?
3
Let d(f) = -f + 12. Let p be d(5). Suppose 3*h = p*h - w - 41, w = 3. Calculate the smallest common multiple of h and 4*(-2)/(-4)*1.
22
Suppose 0 = 2*x - 0*x - 12. Let q(u) = -u + 5*u + 1 - 2. Calculate the lowest common multiple of q(x) and 2.
46
Let u(c) = c**2 - c - 5. Let z be u(4). Let a(i) = 5*i**2 - 14*i + 5. Calculate the smallest common multiple of a(z) and 16.
304
Let t be 5*(-2 - 15/(-5)). What is the smallest common multiple of 39 and (1 + 0)*5/t?
39
Let z be 4 + 0/(-1) + -1. Suppose 3*g - k = 53, -g - 31 = -2*g - z*k. Suppose u - 3 - g = 0. What is the smallest common multiple of u and 4?
44
Suppose 40 = 2*f - f. Suppose 0*q + 5*q = -f. What is the least common multiple of (-1764)/(-70) + q/(-10) and 22?
286
Suppose -5*z + 4*z = -17. Suppose -2*v - z = -5*x, -3*v = -0*v + 3. Suppose -x*m + 85 - 25 = 0. Calculate the lowest common multiple of m and 6.
60
Suppose 4*v - 3*u = -5, -5*u = 2*v - 3*v - 14. Suppose s - v = 1. What is the lowest common multiple of s and 7?
14
What is the common denominator of (-1025)/6642 - ((-3)/1)/3 and -149/144?
1296
Let u = -47241 + 3117809/66. Find the common denominator of u and -85/14.
462
Let n be -3 + 2*(-95)/(-11). Let z = n + -164/11. Find the common denominator of (2/(-4))/((-8)/194) and z.
88
Let n = 472 + -199. Calculate the lowest common multiple of n and 4.
1092
Suppose -2*g = 15 - 5, -2*l + 95 = g. Calculate the smallest common multiple of 5 and l.
50
Let d = 5563 + -673176/121. What is the common denominator of 37/176 and d?
1936
Let a be 24/(-32) - 163/(-4). Let o be (-592987)/72 + (-5)/a. Let i = 8239 + o. What is the common denominator of i and 143/12?
36
Let f = -144 - -1304/9. Find the common denominator of f and -1/90.
90
Let b = 2025/77 - 572/21. What is the common denominator of 157/210 and b?
2310
Suppose 5*r = 18*l - 15*l - 241, 3*r + 243 = 3*l. Let z(a) = 2*a. Calculate the least common multiple of z(2) and l.
164
What is the common denominator of 104/165 and (6 - 79)*(4 - 14/4)?
330
What is the common denominator of 48/8*22*4/(-552) and 28/15?
345
Suppose 113*i + 72 = 117*i. What is the least common multiple of 114 and i?
342
Let f(j) = 172*j + 2. Let t be f(-3). Let q = t - -1065/2. Calculate the common denominator of q and (-1)/3 - (-1106)/231.
22
Let k = 87/8 - 2285/216. Let c = 1507/108 + k. Find the common denominator of 1/55*185/(-6) and c.
132
Suppose -x - 4 = -4*l, x - 2 = -l + 4. Let h be (1/l)/(3/6). Calculate the least common multiple of h/(-2) + (-30)/(-12) and 8.
8
Let o = -711 + 725. What is the smallest common multiple of 36 and o?
252
What is the common denominator of 95/54 and 194/270*87/58?
270
Let y(l) = -2*l**3 - 5*l**2 + 3*l - 32. What is the lowest common multiple of 117 and y(-5)?
234
Let v be (-680)/25 + 2/10. Let r(w) = -w**2 + 12*w + 8. Calculate the least common multiple of r(12) and (-6)/v + (-156)/(-27).
24
Suppose -