 Let j(p) = p + 7. Let u be j(h). Suppose -17 + 5 = -d + 3*c, 2*c + u = 0. What is the lowest common multiple of 6 and d?
6
Let x = 1487/7 - 206. What is the common denominator of 9/10 and x?
70
Let i(d) = 313*d**2 + 1. Let k be i(1). Let j = 1551/5 - k. Find the common denominator of 35/2 and j.
10
Let k(r) = 3*r**3 + 2*r**2 - 2*r + 1. Let i = -19 + 20. What is the lowest common multiple of 36 and k(i)?
36
Let m = -9 + 29. Let u = 15 - 11. Suppose -3*r + 16 = u. What is the lowest common multiple of r and m?
20
Let p = 1066593/38 - 28066. Find the common denominator of 79/8 and p.
152
What is the least common multiple of (5 + -4)*(-1 - -12) and 7?
77
Let u be (-1)/(3 + (-76)/25). Let k = u + -21. What is the lowest common multiple of k and 9?
36
Let a be -4 + 2 + 121 + 1. Find the common denominator of (-642)/a - (-2)/8 and -67/4.
20
Let j(l) = -6*l + l**3 - 2 + 3 - 6*l**2 - 2*l**3. Calculate the least common multiple of 20 and j(-5).
60
Let u = 13 - 7. Let r = -91 + 99. What is the lowest common multiple of r and u?
24
Suppose 7*b = 4 + 52. Calculate the lowest common multiple of b and 18.
72
Calculate the common denominator of 14/(-147)*(-4)/((-32)/(-690)) and -23/48.
336
Let m = -147 - -149. Let t = 6 + -4. Suppose 0 = 4*w - 2*w, 80 = 5*f - t*w. Calculate the least common multiple of m and f.
16
Suppose -2 = m - 4. Suppose 2*c + 2*c = m*i - 136, 2*i = -2*c + 154. What is the common denominator of (-9)/24*i/(-15) and 81/10?
20
Let k be 6/2 - (6 - 6). Suppose k*u - 8 = 10. Calculate the least common multiple of 22 and u.
66
Suppose 4 = -j - u + 3*u, 5*j = -3*u + 6. Suppose 3*y + j*y = 3. What is the smallest common multiple of y and 4?
4
Suppose 0 = -4*m + m + 30. What is the smallest common multiple of 10 and m?
10
Let z = 16 - 8. Suppose 0 = -5*r + 6 + 9. Suppose -100 = -z*w + r*w. What is the smallest common multiple of 4 and w?
20
What is the common denominator of (-726)/(-12)*1/3 and -53/10?
30
Suppose 0 = -k - 2*k - 6, 3*k = -3*r - 39. Let p = r + 15. Calculate the lowest common multiple of p and 6.
12
Let b(k) = k + 8. Calculate the least common multiple of b(0) and 16*(-1)/(-6)*3.
8
Let i be (-309)/(-129) - (1 - -1). Let v = 2/182995 - -253447903/15737570. Let w = i + v. Calculate the common denominator of w and 31/2.
2
Let r = -2281/111 - -82/37. Calculate the common denominator of -5/3 and r.
3
Let l = 1082/51 + -128080/5763. Let k = l + 7919/1017. What is the common denominator of 19/11 and k?
99
Suppose 0 = 2*p - 5*p - 9. Find the common denominator of (65/2 + p)/2 and 59/9.
36
What is the common denominator of 2 and (-2 - 0) + 42/(-78)?
13
Let g = -35 - -65. Let d be g/9*(-6)/(-5). What is the smallest common multiple of 18 + 0 + -4 + d and 2?
18
Let g = 1243/7 + -11569/70. Calculate the common denominator of -7/4 and g.
20
Let x be 0*1/4*-2. What is the least common multiple of 10 and (3 - x) + (-21)/(-3)?
10
Let p(m) = m**2 - 8*m + 4. Let c be p(7). What is the common denominator of 8/5 and (c - -1)*43/(-8)?
20
Let x = 10 - -8. Let q(c) = c**3 + 2*c**2 - 3*c + 3. Let p be q(-3). Let r(h) = -h**3 + 2*h**2 + 5*h - 4. Calculate the least common multiple of r(p) and x.
18
Let o be (114/44739)/(4/(-21714)). Let v = 3/3314 - o. What is the common denominator of 91/22 and v?
66
What is the lowest common multiple of (-30)/40*(-8)/3 and 568/28 - (-6)/(-21)?
20
Suppose -4*o + 137 = -5*d, -3*d - 196 = -5*o - 5*d. Suppose 9*l - 24 = 7*l. Calculate the smallest common multiple of l and o.
228
Let v be 1 + (-2)/(6/(-9)). What is the common denominator of (-102)/v*(-7)/63 and 59/9?
18
Suppose 0 = -3*k + 57 + 45. Calculate the lowest common multiple of k and 18.
306
Let g = 11 - 10. Calculate the lowest common multiple of g and (-2)/(-4)*(-1 - -5).
2
Let c = 1 - 25. Let v = 4957/660 + 169/55. Find the common denominator of v and (2/c)/((-3)/75).
12
Calculate the common denominator of 1 - -2*(-309)/(-120) and 65/12.
60
Suppose 3*v = 3*z - 63, -z - 4*z = -v - 121. Let o = -18 + z. What is the least common multiple of o and 5?
35
What is the common denominator of 23 and 6/(-8)*76/18?
6
Suppose -16*a + 77 = -9*a. Calculate the lowest common multiple of a and 54.
594
Suppose 0 = 5*i + 5*t + 25, -3*t + 9 = -i - 2*t. Find the common denominator of 284/(-280) - (-2)/i and 5/4.
20
Let q = -2681 - -5093/2. Let f be (-10)/(-3*(-2)/84). Let d = f - q. Calculate the common denominator of d and -5/2.
2
Let o = -8/2121 - -418552/2121. Let j = 175 - o. Let c = -5/919 - 28444/8271. What is the common denominator of c and j?
9
Suppose 0 = j - 2*k + 2, -5*j + 1 + 3 = -3*k. What is the lowest common multiple of 4 and j?
4
Let q = -14 + 23. Suppose 4*w = -y + 7, w - 2*y - 8 = -2*w. Suppose -w*g + 3*g - q = 0. What is the least common multiple of 10 and g?
90
What is the lowest common multiple of 6 + -2 + 9 + -5 and 2?
8
Suppose q - 5*k = 0, 0*k + k + 56 = 3*q. What is the lowest common multiple of 18 and q?
180
Let n = 5 + 4. Calculate the least common multiple of n/2 - 9/(-6) and 6.
6
Let x(m) = 5*m**3 + 2*m**2 - 5*m + 1. Let u be x(4). What is the common denominator of ((-3)/9)/(30/u) and -131/18?
90
Let w = 18157/3352 + -1/10056. Find the common denominator of -43/20 and w.
60
Let t be (-531)/(-179) - (0 - -3). Let u = t + -7643/1611. What is the common denominator of -26/5 and u?
45
Let x = -167 - -91. Find the common denominator of x/36 + (-2)/(-6) and 8/(-4) - 119/(-6).
18
Let z = 283/333 + 22/37. What is the common denominator of z and -65/27?
27
Let s be -3*1*9957/(-36). Let z = s - 6703/8. Find the common denominator of z and (66/(-25))/((-4)/(-15)).
40
Let h be 10 + -9 + 24/(-2). What is the smallest common multiple of (1 + -2)/(h/110) and 2?
10
Suppose 2*j + 6 - 24 = 0. Let k(n) = 6*n - 4. Let p be k(5). Calculate the smallest common multiple of p/6 + (-3)/j and 22.
44
Suppose 4*m = -5*x + 18 + 19, -3*x = 4*m - 19. Suppose 5*g = -0 + 5, -4*p + 5*g + 7 = 0. What is the lowest common multiple of x and p?
9
Let u = -23 - -41. Let d(a) = -3*a**2 + 4. Let k(n) = 7*n**2 - n - 8. Let s(g) = -5*d(g) - 2*k(g). What is the least common multiple of u and s(-6)?
180
Let c = -257/5 - -521/10. What is the common denominator of c and ((-10)/(-8))/((-6)/(-68))?
30
Let o = 154 + -153. Calculate the least common multiple of o and 8.
8
Let v = 5 - 2. Let x(c) = c**3 - 3*c**2 + 3*c + 3. Let f = 51 - 29. Calculate the lowest common multiple of x(v) and f.
132
Let u(t) = -t**3 - 7*t**2 + 6*t - 10. Calculate the lowest common multiple of u(-8) and 12.
12
Let z = 187/62 + 19173/31. Let j be ((-38)/(-4))/(2/(-128)). Let x = j + z. Calculate the common denominator of x and -87/22.
22
Suppose 0 = 3*q - 7*q - 8. Let b = 13 + q. Calculate the least common multiple of 9 and b.
99
Let d be (-2)/7 - 57/21. Let m be 267/131 + d + 1. Let i = 3179/917 - m. What is the common denominator of i and -29/8?
56
Calculate the common denominator of 7/10 and 92/(-161) - (-130)/154.
110
Let i = 22 - 13. Calculate the lowest common multiple of 6 and i.
18
Suppose -4416 = -4*d - 4*y, 3314 = 3*d + 2*y - 0*y. Let j = -11073/10 + d. Calculate the common denominator of j and 85/2.
10
Let t = 2883 + -11437/4. What is the common denominator of -91/2 and t?
4
Let z = -265027/29864 + -2/3733. Calculate the common denominator of z and -5/2.
8
Suppose -2*a + 516 - 2292 = 0. Let m = 3569/4 + a. Find the common denominator of -101/10 and m.
20
Suppose 5*j = j + 24. Suppose -y + 14 = -25. Let a = y + -17. Calculate the lowest common multiple of j and a.
66
Let a = 1 + 9. What is the smallest common multiple of 10 and a?
10
Let p(r) = 2*r + 10. Let q be p(-7). Find the common denominator of ((-4)/(-8))/(9/(-59)) and ((-1)/5)/(q/101).
180
Let n(z) = z**2 + z + 2. Let u be n(0). Suppose 0 = u*j + j - 3*d - 15, -2*d = j - 11. What is the least common multiple of 21 and j?
21
Suppose 4*u = -u. Suppose -3*g - 40 = -5*z - u*g, -5*g - 16 = -2*z. What is the smallest common multiple of 6 and (18/z)/((-6)/(-16))?
6
Let j(y) = y**2 - y + 6. Let q(n) be the second derivative of n**3/6 - n**2 + 2*n. Let r be q(2). What is the lowest common multiple of 9 and j(r)?
18
Let v(r) = -7*r - 4. What is the least common multiple of 14 and v(-2)?
70
Let f = -4213/10 + 422. What is the common denominator of f and -63/10?
10
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