
140
What is the smallest common multiple of 2 - (-1 + (1 - 0)) and 10?
10
Let a = 7 - 0. Calculate the least common multiple of 6 and a.
42
Let l = -56 - -15. Calculate the common denominator of 316/70 - ((-32)/20)/8 and l.
7
Let a = -41735/12 - -3489. Calculate the common denominator of -3 + 260/(-48) - 3 and a.
12
Let x = 5 + -7. What is the common denominator of 38/9 and x/4 + 134/8?
36
Suppose 0 = -0*l + 2*l + 8, -16 = 4*u - 4*l. What is the smallest common multiple of 2 and 4/(-16) + (-58)/u?
14
Let t = -83 - -153. Suppose -4*m = -t - 18. What is the least common multiple of m and 14?
154
Let q = -521/90 + -2/45. Calculate the common denominator of q and 290/(-240) - 2/12.
24
Suppose -2*l - 8*m - 14 = -4*m, 3*l - 23 = 5*m. Calculate the lowest common multiple of 10 and (l + -2 + -7)*-2.
80
Find the common denominator of -133/6 and -3*((-4)/6 + (-10925)/(-16284)).
708
Calculate the common denominator of -2 + -20 + 4 + -2 and 67/10.
10
Let h(l) = l**2 - 3*l + 2. Let x(d) = d**3 - 5*d**2 - 5*d**3 - 5*d + d**2 + 3*d**3 - 2. What is the smallest common multiple of h(4) and x(-3)?
12
Let r be -3 + 3 - (-1239)/(-1080). Let w = r + -3/40. Find the common denominator of -55/9 and w.
9
What is the common denominator of ((-38)/(-50))/((-120)/(-75)) and 20/7?
280
Let c(h) = 2*h - 4. Let q(n) = 9*n + 5 + 3 - 10*n + 20. Calculate the least common multiple of q(14) and c(5).
42
Let h(f) = -f**2 - 11*f. Suppose 3*l = -8 - 16. Calculate the lowest common multiple of 2 and h(l).
24
Suppose -p = 3*z - 41, -70 = -p - p - 2*z. Calculate the lowest common multiple of p and 20.
160
Let o(k) = k**2 + 3*k + 10. Let b be ((-3)/4)/((-2)/8). Let s(l) = l**2 + 2*l - 4. What is the least common multiple of o(0) and s(b)?
110
Let a = 1968 + -23669/12. Let s be 3*-1*(-17090)/2. Let m = s + -461557/18. Calculate the common denominator of a and m.
36
Let y(p) = p**3 - 5*p**2 + 6*p - 6. Suppose -3*l - l + 16 = 0. What is the least common multiple of y(l) and 1?
2
Let g = -24 - -45. Suppose -5*p + 2*p = -g. Calculate the least common multiple of ((-12)/(-10))/((-1)/(-5)) and p.
42
Let w be 1/(3/(-33))*1. Let r = w - -21. Calculate the lowest common multiple of r and 10.
10
Let l = -53 + 69. Calculate the smallest common multiple of l and 28.
112
Let u = 3/4 + 195/4. What is the common denominator of u and -32/9?
18
Suppose 0 = -5*a - 3*o + 7 - 42, 0 = -5*a + 4*o. What is the smallest common multiple of 22 and ((-45)/(-6))/((-3)/a)?
110
Let s = 18 + 4. Suppose 0*u = -2*u + 8. Suppose -k + 1 = 0, k + k - 10 = -u*v. What is the least common multiple of v and s?
22
Calculate the common denominator of 81/8 and (6/(-81))/(8/12).
72
What is the common denominator of (1*16*-1)/9 and 20/7?
63
Suppose -4*o + 3*q - 20 + 40 = 0, 2*o + q - 20 = 0. What is the least common multiple of o and 8?
8
Let m(r) = -r**3 - 6*r**2 - 5*r + 4. Let c be m(-4). Let q = c - -12. Let f(j) = -j**2 + 9*j - 15. What is the lowest common multiple of q and f(6)?
12
Suppose -4*v + c - 14 + 209 = 0, -5*c - 175 = -4*v. Calculate the common denominator of (1/12)/(6/196) and 34/(-8)*v/55.
198
Let z = 46 + -42. Calculate the lowest common multiple of z and (-6)/(-15) + (-18)/(-5).
4
Suppose -4 + 0 = -r. Suppose -r = -c - 3. Calculate the lowest common multiple of c and 9.
9
Let g(a) be the first derivative of 8*a**3/3 + a**2 - a + 2. Let d(r) = 3*r**2 + 5*r + 9. What is the smallest common multiple of d(-2) and g(1)?
99
Suppose 0 = 3*z + n + 41, 0 = 7*z - 2*z - n + 55. Let q = z + 8. What is the common denominator of ((-17)/q)/(7/(-4)) and -5/8?
56
Suppose 0 = -2*q + q - 31. Let f = 43 + q. Suppose -3*l = -5*l + 4. What is the least common multiple of f and l?
12
Let j = 53/3 + -18. Find the common denominator of -15/11 and j.
33
Let p(k) = 5*k + 3. Let r be p(-6). Let g = r + 41. Calculate the lowest common multiple of g and (8/10)/(2/5).
14
Let b be 2/(12/5 - 2). Suppose -2*g = -b*g + 144. Calculate the common denominator of (-54)/g*(-40)/6 and -93/2.
2
Let x = -21381 + 3228549/151. Let i be 1/1 + (-44912)/1812. Let z = i + x. What is the common denominator of -9/10 and z?
30
Let n be (-4)/4*(1 + 7). Calculate the smallest common multiple of -1*2 - 40/n and 5.
15
Let x(t) = -t**3 + 2*t**2 + t. Let r be x(2). Suppose r*d - 6*d = 8. Let f = d + 12. What is the least common multiple of f and 2?
10
Find the common denominator of -77/6 and (56/(-76))/2*(-14)/4.
114
Let z = -9 + 20. Calculate the smallest common multiple of z and 5.
55
Let u(m) = 3*m + 2. Calculate the common denominator of (-50)/16*2/(-2) and u(-8).
8
Suppose 4*n - 69 = -3*l - 16, 2*l + 3 = 5*n. What is the lowest common multiple of 93/12 - 2 - 3/4 and l?
55
Suppose 2*u = 6*u. Suppose o + o = u. What is the common denominator of -14/3 and o + 1 - 123/(-21)?
21
Let u = -182365/12 + 15186. What is the common denominator of -23/3 and u?
12
Let n(c) = c + 13. Suppose -44 = -3*d + 2*m, -2*d - m + 77 = 2*d. Calculate the smallest common multiple of n(-11) and d.
18
Let j = -225955477/3208 - -70435. Let u = 258828670231/75674022072 - 26066/2144469. Let a = u + j. Find the common denominator of a and 5/18.
198
Let x = -155063/22 - -7050. Find the common denominator of 67/20 and x.
220
Let d(z) = -z**3 - 3*z**2 + 2. Let x be d(-2). Calculate the common denominator of x/((-88)/158) + 1 and (-2235)/18*2/10.
66
Suppose -1 = 2*h - 5*m - 16, -h = m - 4. What is the smallest common multiple of h and 4?
20
Let m = -6 + 7. Suppose -5*d + 4*j + 6 = m, 0 = d + 2*j - 15. What is the lowest common multiple of 8 and d?
40
Let q = 47 - 35. Calculate the least common multiple of q and 2.
12
Let s(l) = -l**3 + 7*l**2 - 6*l + 8. What is the least common multiple of s(6) and 2?
8
Suppose -2*h = 3*h. Let j = h - -5. Suppose j*a = -3*r + 19, a - 43 + 4 = -5*r. What is the lowest common multiple of 9 and r?
72
Let a = 44 + -38. What is the lowest common multiple of a and 6?
6
Let y = 1859/560 + 3/80. Suppose 4*c + c - 10 = 0. Find the common denominator of 510/(-224) + c/(-7) and y.
112
Suppose 0 = -3*v + 4 + 8. Let q = v + 0. Suppose 3*j + 3 = -0*n - 3*n, -4*n = 5*j + 9. Calculate the lowest common multiple of n and q.
4
Let y(x) = 3*x**2 - 10*x - 6. Let t = -6 + 4. Let w(o) = -4*o**3 - 3*o**2 - o. Calculate the least common multiple of y(4) and w(t).
22
Suppose 215237 = 3*a - 6*i + 2*i, -286971 = -4*a + 3*i. Let p = a + -291429/4. Let d = p + 1104. What is the common denominator of d and -1/6?
12
Suppose -5*y = -4*y. Suppose y*j - 37 = -2*j + h, 5*h + 23 = j. Let a(r) = -r**3 - 4*r**2 - 7. Calculate the lowest common multiple of j and a(-5).
18
Suppose 0 = 3*x - 5*a + 31, 2*a + 3 = -5*x - 59. Suppose 3*h - 4*f = -h - 32, 0 = 4*h + 2*f + 20. Let p = h - x. Calculate the least common multiple of 8 and p.
24
Suppose -24 = -4*x - 4*z, -2*z = x - 5*z + 2. Suppose -i - x*i = 5. What is the common denominator of -13/12 and 207/42 + i*1?
84
Let y be 12/2 - (5 - 2). Suppose -9 = -4*z + 3, -y*a = -3*z. Suppose -k + a + 4 = 0. Calculate the least common multiple of 3 and k.
21
Calculate the common denominator of ((-17)/(-12))/((-156)/16 + 9) and 71/124.
1116
Suppose -4*m + 2*s + 12 = -2*s, -2*m - s + 6 = 0. Suppose 112 = 10*q - 2*q. What is the least common multiple of q and m?
42
Suppose 3*m - 6 = m. Calculate the lowest common multiple of m and 7.
21
Let d = -71867/20 - -3591. Calculate the common denominator of d and -45/26.
260
Let u(q) = -4*q + 6. Let l(h) = 5*h - 7. Let s(k) = 5*l(k) + 6*u(k). What is the lowest common multiple of s(9) and 11?
110
Let d = 2 + -1. Suppose 0 = 5*i + 4*z - 3 - d, -i - 2*z - 4 = 0. What is the common denominator of i/(-2) - 42/44 and -133/18?
198
Let r(z) = z**3 + 4*z**2 - 22*z + 3. Calculate the lowest common multiple of 18 and r(-7).
90
Let r = 321/452 + -3229843/4546668. Let y = -72766193094481/19087211458896 + -241/830167513. Let h = y + r. What is the common denominator of -15/4 and h?
16
Let i = -23 + 34. Suppose 4*h - i = 3*h. Suppose -15 = 5*y - 10*y. Calculate the least common multiple of h and y.
33
Let l = -84134/55 + 1530. Let z = l - 1478/165. What is the common denominator of -29/2 and z?
6
Let u be (-8734)/35000 - 4/(-16). Let p = u - -23123/4375. What is the common denominator of p and 29/10?
70
Let x(m) = 25*m**2 + m + 1. Let r be