j = f + 24. Suppose -c + 5*o + 20 = 3*o, -2*o - 42 = -2*c. What is the least common multiple of j and c?
132
Let a = -35236/9 + 3919. Suppose -2144 = -15*y + 19*y. What is the common denominator of y/(-80) + (-2 - -4) and a?
90
Let h = -10667/4710 - 16/157. Let z = -1049 + 1993. What is the common denominator of (z/24)/(4/3) and h?
30
Let d(u) = -u**3 + 7*u**2 - 6*u + 2. Let v be d(6). Suppose 20 - 6 = v*z. Calculate the lowest common multiple of z and 2 - (-2 + (-2)/(-2)).
21
What is the common denominator of 7/41 and (-14 + 7 + 2)*(-1)/(-6)?
246
Let s be 4 - ((-7)/(-1) + 1). What is the lowest common multiple of s - (-30 + 0)/5 and 11?
22
Let c(g) = -g**3 + 9*g**2 - 13*g - 4. Let i be c(7). Suppose -p - 28 = -i*p. What is the lowest common multiple of p and 26?
182
Let r(y) = -5*y - 2*y + 10 + 5*y. Let x be r(3). Suppose -5*g = -7 - 18, 13 = x*o + g. Calculate the least common multiple of 8 and o.
8
Let w = -9171 + 36671/4. Let o = 4721 + -28463/6. Calculate the common denominator of o and w.
12
Let g = 3787913/210810 + -12/7027. Let x = -134/5 + g. What is the common denominator of x and (-721)/206*115/49?
42
Let p(k) = k**2 + 6*k + 8. Let r be p(-5). Suppose -r*x + 62 = -40. What is the smallest common multiple of x and 4?
68
Suppose -5*q + 4*g + 200 = 0, 2*q - 5*g - 80 = -2*g. Calculate the common denominator of (-10)/36*(-1284)/q and -81/14.
84
Find the common denominator of 11/4 and -15*(6 + (-1713)/288).
32
Let v(c) = 2*c + 31. Let h be v(-14). Suppose 6*n - n = h*u + 36, 0 = 3*u + 6. What is the least common multiple of n and 2?
6
Find the common denominator of 1/(20/16) - 7 and 18/97.
485
Let o be (3/(-2))/(30/(-40)). Let l(k) = k**2 - 1. Calculate the least common multiple of l(o) and 16.
48
Let b = -3371941574175 + 48205276718439807/14296. Let y = -113/1787 + b. Let i = y + 1813. Calculate the common denominator of i and -9.
8
Let h be (-20 + 18)/(-2*1/110). What is the lowest common multiple of (-14)/(-3 + 2) - 2 and h/15*3 - 2?
60
Let h be 5 - -2*(-7 - -5). What is the common denominator of (h - -4)/5 - (-381)/(-66) and 23/4?
44
Let r(w) = -8*w - 38. Let c be r(-6). Suppose 11*q - 112 = c*q. What is the least common multiple of 14 and q?
112
Let a(p) be the third derivative of p**6/120 - p**5/10 + p**4/3 - 3*p**3/2 + 3*p**2. What is the lowest common multiple of a(5) and 2?
6
Suppose 19383 - 4662 = -7*z. Let b = 37835/18 + z. What is the common denominator of b and 23/14?
126
Let d = 7829 - 3485. Let z = 47816/11 - d. Calculate the common denominator of 113/(-1)*(-2)/12 and z.
66
Let s(i) = i**3 - 5*i**2 - 9*i + 12. Let a be s(8). Suppose 6*f = 5*f + a. Calculate the common denominator of (2 + 0)*f/32 and 29/11.
44
Let u = -5 - -6. Let s be (-44)/(-198) - (0 + 22/18). Calculate the common denominator of ((-106)/32 + s)*u and 43/4.
16
Let f = -39635753/18 - -2200981. Let s = 1004 + f. Find the common denominator of s and 23/10.
90
Let r be 12/(-5)*(-30)/9. Suppose 775 - 819 = -11*i. Calculate the smallest common multiple of i and (r/1 - 0) + 0.
8
Let d(w) = 3*w**2 - 5*w + 7. Let h be d(5). Suppose -5*o - h = 3. Calculate the smallest common multiple of 9 and (-30)/(-4)*(-8)/o.
45
Suppose 3*y + 15 = 3*l, -5*l = y + 2*y - 9. Suppose 0 = j - 205 + l. Calculate the common denominator of -37/18 and (-1)/3*j/(-4).
18
Let j(o) = 2*o**2 - 17*o + 52. Calculate the least common multiple of j(4) and 8.
16
Let l be (-5)/15 + (1 - 7625/12). Let x = l + 647. Find the common denominator of x and 91/4.
4
Calculate the common denominator of 4*(-1 - 8/(-10))/(660/(-550)) and ((-18)/(-15))/((-1)/(-10)).
3
Let o(s) = s + 216. Let h be o(0). Let j = h - 144. Find the common denominator of (-140)/j*51/(-10) and -119/18.
36
Suppose 4*f + 65 = w + 266, -4*w = -3*f + 141. Calculate the lowest common multiple of f and 51.
51
Suppose 0 = -5*m - 5*p + 5, -6*m = -m + 4*p - 5. What is the smallest common multiple of 4 and m?
4
What is the common denominator of 7/8 and ((-1023)/264)/((-1)/12) + 2?
8
Let n(j) = 165*j**2 + 10*j + 30. Let c be n(7). Let u = -327483/40 + c. Let w = -14383/6930 + 2/495. What is the common denominator of u and w?
280
Let c be 3/(-1 + 5 + -3). Let z be (5/(-15))/(c/(-162)). Suppose -w + 2*x = -z, x + 24 = w + w. Calculate the smallest common multiple of 22 and w.
110
Calculate the lowest common multiple of (36/16)/(1/4) and (6 - 1) + (-344)/129*(-207)/12.
153
Suppose 0*i = 2*i - 5*m - 4, -m = 0. Calculate the lowest common multiple of i and (-5)/(-5) + -6 + 6 + 1*2.
6
Suppose -s + 3*c + 6 = -0*s, -s - 2*c + 31 = 0. Let w = -1 + 19. Calculate the lowest common multiple of w and s.
126
Calculate the common denominator of -2 + (-135)/42 - -2 and (2*34/8)/((-12)/(-9)).
56
Let l(f) = 3*f - 14. Let t be l(10). Suppose 6*q - g = 4*q + t, -2*q + 4 = -4*g. Let o = -147 + 165. What is the lowest common multiple of o and q?
90
Let a(c) = c**2 + 5*c - 3. Let k be a(-7). Calculate the common denominator of 87/8 and 147/7*k/(-6).
8
Suppose 329 = 33*q - 595. Calculate the smallest common multiple of q and 26.
364
Let n be (52/8)/((-2)/(-4)). Let c = n - -1. Suppose 5*z = -5*u + u + 65, u - 15 = -z. Calculate the lowest common multiple of c and u.
70
Let d(p) = 2*p - 2. Let w = 10 - -10. Calculate the least common multiple of 145/w + 9/12 and d(3).
8
Let i = -2 + 4. What is the common denominator of 1/(7/i) + (-1444)/56 and 2/(-4)*97/(-6)?
12
Let i = -470 - -1024. Let h = 865 - i. Find the common denominator of (-1)/3 + h/(-66) and -69/16.
176
Let v(n) = -94*n - 3. Let a be v(-2). Let g = -97241/48 - -6089/3. Calculate the common denominator of (a/(-16))/5 + -2 and g.
16
Let p = -2394 - -2530. Calculate the smallest common multiple of p and 102.
408
Suppose -f + 2 = l - 6, -32 = -5*l - f. Let o be (0 - 1)/(((-6)/271)/6). Suppose -211 = 3*q - o. What is the lowest common multiple of l and q?
60
Let p(m) = m**3 - 12*m**2 - 46*m + 20. What is the least common multiple of 224 and p(16)?
2464
Let h = -4566 + 100525/22. What is the common denominator of h and -131/12?
132
Let h = 28260356 - 565319751/20. Let m = -5634 - h. Calculate the common denominator of (-542)/120 - (14/(-5))/(-7) and m.
60
Let o be (-524)/16*(-141)/9. Let s = -1011/2 + o. Find the common denominator of -13/6 and s.
12
Let r be (49/2)/(10/20). Suppose 37 = -3*t + r. Let v(j) = -j**3 - 7*j**2 - 10*j - 6. Calculate the smallest common multiple of v(-6) and t.
36
Let b = 8 - 14. Let y = 502/5 + -223/2. Find the common denominator of (2/(-4))/(b/148) and y.
30
Suppose -2 = -5*y + 4*y. Suppose -3*z = y*z - 20. Suppose t - 3*t = -5*r - 44, 3*t - z*r = 52. Calculate the lowest common multiple of 14 and t.
84
Let y(c) = -c**3 - 5*c**2 - 4*c + 3. Let u be y(-4). Let q(r) = 5*r**2 + r + 0*r**2 + 17*r**u - 7*r**2. Calculate the lowest common multiple of q(1) and 16.
16
Let g(p) = -25*p**3 + 2*p + 1. Let y be g(-1). What is the common denominator of -23/4 and (y/336)/(2/118)?
28
Let m = -1715 - -1722. Calculate the least common multiple of m and 299.
2093
Let r = 35/127 - 6275/2032. What is the common denominator of ((-2)/(-4))/((-2)/46) and r?
16
Let u be (((-4)/(-9))/(3/(-1854)))/1. Let o = 267 + u. Calculate the common denominator of o and -47/9.
9
Let p = 29 - -37. Suppose -3*f + 6 = 3*k, -5*k + 42 = -5*f - 18. What is the smallest common multiple of k and p?
462
Suppose 4*u = 2*u + 4*t + 2, -5*u = -2*t - 13. What is the least common multiple of u/(-6)*-16 - (0 - 0) and 1?
8
Let j = -30 + 10. Let a be (2 + -4)*j/5. What is the least common multiple of 20 and (-1)/((-4)/a) - -6?
40
What is the least common multiple of 7 and (37770/(-18))/((-20)/12)?
8813
Let l = 22/41 + -1255/123. Let j = l + 1567/132. Find the common denominator of j and -1/4.
44
What is the smallest common multiple of (-3 - 4)*(-3 - 1) and 20?
140
Let a = -125606 + 872240/7. Let d = 1003 + a. Find the common denominator of d and 89/4.
28
Suppose -27 - 39 = -3*o. Let v(z) = -3*z + 36. Let d be v(0). Suppose -30 - d = -3*n. Calculate the smallest common multiple of o and n.
22
Calculate the least common multiple of (-1*4)/(((-14)/(-80))/(-7)) and 2.
160
Suppose -2*w + 0*a - 51916 = 3*a, w + 5*a = -25958. Let d be (-6)/36*(-3919682)/w. Let g = d + 2/12979. Calculate the common denominator of -23/4 and g.
12
Let t = -40 - -