
240
Suppose 20 = 32*c - 28*c. Suppose c*h = -2*h + 154. Let z = -29929/2952 + 5/369. What is the common denominator of h and z?
8
Let d(q) = 1552*q + 12. Let g be d(-5). Let j = g - -123887/16. Find the common denominator of 89/12 and j.
48
Let g be 10/50 + 128/10. Let h = g + 25. Calculate the least common multiple of 12 and h.
228
Let c(g) = -5*g**2 - 144*g - 27. Calculate the lowest common multiple of 12 and c(-27).
216
Let x = -1832549/40 + 45811. What is the common denominator of x and -111/28?
280
Let i = 91021/18 + -5054. Find the common denominator of (-2)/(-14) - 276/(-1008) and i.
36
Let r = 112 + -58. Let k(l) = -4*l + 2. Let y be k(7). Let m = r + y. Calculate the common denominator of m and 27/5.
5
Let a = 170359 - 75980013/446. What is the common denominator of 83/2 and a?
446
What is the common denominator of (10572/(-10260) + 1)/((-36)/75) and -47/8?
4104
Suppose 7 = 4*p - 9. Suppose 5*z + 15 = 45. Calculate the lowest common multiple of p and z.
12
Let m = 1273 + -1272. Let q = 20 - 9. Calculate the least common multiple of q and m.
11
Let g = -37 - -38. Calculate the lowest common multiple of 19 and (18/8 - g)/(23/92).
95
Let y = -29/237 + -19237/15168. Calculate the common denominator of 23/2 and y.
64
Find the common denominator of -46/25 and -15 + 7 - 3292/(-360).
450
Let q(m) = -101*m**2 - 1. Let d be q(1). Let w = -72 - d. Suppose -h = -7*h + w. What is the smallest common multiple of 7 and h?
35
Let x(s) = 4*s - 100. Let j be x(15). Let b = 6 + -16. What is the least common multiple of j/(-24)*(-12)/b and 14?
14
Suppose -5*u - 2*u + 140 = 0. Suppose -26 = -4*c + 14. What is the lowest common multiple of u and c?
20
Let r(t) = -t**3 + 2*t**2 + 3*t - 3. Let m be r(3). Let f be 14 + -1 + -3 + m. Suppose 3*a - f*a = -24. What is the least common multiple of a and 5?
30
Let q(n) be the first derivative of n**3 - 7. Suppose 14*b = 46 + 906. What is the lowest common multiple of q(-2) and b?
204
Let k = -1325153/99 - -13386. What is the common denominator of k and -127/18?
198
Let o be (-18)/(-3) + (-4)/(-1) + -4. Calculate the common denominator of -79*1*o/(180/(-1)) and 125/6.
30
Suppose 2*h - 44 = -2*n, -n = 2*h + 11 - 57. What is the least common multiple of h and 10 + 1 + 0 + -1?
120
Let s be (-4)/(-10) + 6130/50. Let h = -93 + s. What is the lowest common multiple of h and 10?
30
Let l(v) = 2*v - 34. Let p(n) = -n**3 - 10*n**2 + 24*n + 2. Calculate the least common multiple of p(-12) and l(18).
2
Let z = -8 - -19. Let w be 510/17 - (-1 + 4). Let t = -22 + w. Calculate the smallest common multiple of t and z.
55
Let p be (-17)/((-2)/6*1). Suppose -p = -3*b + 9. Calculate the least common multiple of b and 26.
260
Suppose -3*t = -6*x + 7*x - 107, 2*x = -4*t + 144. Suppose -29*k = -t*k + 36. Calculate the lowest common multiple of 11 and k.
66
Let f = 143 + -131. What is the smallest common multiple of 58 and f?
348
Let l(v) be the third derivative of -6*v**2 + 4/3*v**3 - 1/60*v**5 + 0*v + 0 + 1/24*v**4. Calculate the least common multiple of l(0) and 3.
24
Let y(v) = -132*v + 102. Calculate the lowest common multiple of y(-1) and 156.
468
Suppose -6*b = -10*b + 100. Suppose -6*t - 1 + b = 0. Calculate the lowest common multiple of t and 1.
4
Let d(x) = x**3 - 2*x**2 + 2*x + 2. Let o be d(2). Suppose -15 = o*l - l. What is the common denominator of -1 - l - 29/(-10) and 51/22?
110
Let l = 871/3 + -288. Let n be (-5049)/20292 + 2/8 - 0. Let v = n - 42279/3382. Find the common denominator of l and v.
6
Let i = 39/84956 - 1/4020. Let u = i - 109379/66570. Calculate the common denominator of u and 1 - (-2 - (-186)/33).
154
Suppose 3*g = 0, -2*s - 5*g = -g - 8. Calculate the common denominator of 51/7 and 86/s*6/(-24).
56
Let x(s) = -s + 3. Suppose -20 = -6*j + j. What is the smallest common multiple of j and x(-11)?
28
Let g be (2/226)/(114/(-12)). Let z = 57977/8588 + g. What is the common denominator of (-9)/12*(-86)/3 and z?
4
What is the common denominator of -40/381 and -40*20/450 + (-3)/9?
1143
Suppose -t = 2*b - 26, -3*t + 22 = 2*b - 48. Suppose 0 = t*p - 25*p + 21. Let m(f) = -10*f + 1. What is the least common multiple of m(-1) and p?
77
Let v(c) = -c**2 - 2*c - 2. Let w be v(0). Calculate the smallest common multiple of 6 and (1 + -14)/(w - -1).
78
Let a(t) = -9*t + 71. Let q be a(8). Let s(u) = -14*u + 8. Let y(c) = -5*c + 3. Let g(p) = 3*s(p) - 8*y(p). What is the smallest common multiple of g(q) and 16?
16
Let u = -31 - -17. Let o(b) = -3 - 1 - b + 2*b. Find the common denominator of o(u) and 77/6.
6
Let x = -129 - -111. What is the common denominator of (-66)/45*(195/x)/13 and 40/9?
9
Let u(h) = -h**2 - 19*h - 12. Let w be u(-18). Find the common denominator of -105/22 and (w/36)/((-10)/(-207)).
220
Suppose 83*q = 37*q + 1610. What is the smallest common multiple of q and 45?
315
Let x(v) = 62*v**2 + v. Let o be 2 + 2/2 + -2. Let j be x(o). What is the common denominator of -103/10 and (-3)/7 + (-302)/j?
90
Suppose -3*z - 2*z = -30. Suppose -120 = -18*j - 12. What is the smallest common multiple of j and z?
6
Let t be 283468/6*(-54)/384104. Let p = -6/6859 + t. Calculate the common denominator of 0 + ((-6)/4 - (-330)/360) and p.
84
Suppose -3*b - 5*f + 26 = -35, 2*b + 1 = 5*f. Let p = -3769/20 - -1031/5. Calculate the common denominator of (-271)/(-6) + b/(-18) and p.
4
Let w = 23/2044 + 67393/96068. Find the common denominator of w and 83/18.
846
Let l(z) = z**3 - 2*z**2 + 4*z - 7. Suppose 3*b = 2*b + 16. What is the smallest common multiple of l(3) and b?
112
Suppose -2*y + 1 = -7, 3*j + 740 = -4*y. What is the common denominator of 127/110 and (-2)/(-8) - -321*(-7)/j?
330
Let x be (-5)/20 - 130/(-8). Let u be ((-15)/2)/((-8)/x). Let r = 23 - u. Calculate the least common multiple of r and 2.
8
Calculate the lowest common multiple of (94/(-188))/(2*(-2)/3136) and 35.
1960
Let u = 607514 - 61346. Let m = 13110313/24 - u. Let q = m - 95. What is the common denominator of q and 25/8?
24
Let y(a) = 4*a**2 - a - 1. Let g be y(-1). Suppose 4*l + 17 = s + g, -s + l + 7 = 0. Calculate the common denominator of 50/11 and (44/s)/(13/5).
143
Let o be (18/15)/(21/140). Suppose -2*r + 20 + o = -5*q, -2*r + 4*q = -28. Calculate the least common multiple of r and 16.
112
Let s(n) = n - 13. Calculate the smallest common multiple of 63 and s(24).
693
Let y = -5321 - -79778/15. Calculate the common denominator of y and 28/9.
45
What is the least common multiple of 206 and (-1)/(9/(-12)) + (-176)/(-12)?
1648
Let u = -10 - -15. Let q(w) be the second derivative of -w**5/4 - w**3/6 - w**2/2 + 25*w. What is the smallest common multiple of q(-1) and u?
5
What is the lowest common multiple of 6 and 243/18*(-64)/(-8)?
108
Let d(p) = p**2. Let o(n) = -5*n**2 + n - 1. Let k(u) = 22*d(u) + 4*o(u). Calculate the least common multiple of k(-3) and 8.
8
Calculate the common denominator of 57/40 and (-1 - (-3)/5)*635/72.
360
Find the common denominator of 65/32 and 23/(-46)*(-99)/(-6).
32
Suppose 1043 - 398 = -5*x - 2*h, h = x + 129. Let c be (x - 3)/2 - -1. What is the common denominator of (c/(-70))/(2/(-4)) and 101/12?
84
Let b = 12871/1144 - 147/13. Calculate the common denominator of 33/32 and b.
352
Let z(t) = -4 + 17*t + 0 + 0 - t**2. What is the least common multiple of 18 and z(13)?
144
What is the smallest common multiple of (-40)/(-22) + 6 + 4/22 and 456?
456
Let t = -46197222060027587/1667348321808 + -457/421899879. Let p = t - -27707. Let j = p - 160001/43472. Calculate the common denominator of 71/2 and j.
22
Suppose 5*b + 107 - 297 = 0. Suppose 6 = 3*t - 5*a - b, 3*t = -5*a + 4. Suppose -3*g + t = -10. Calculate the smallest common multiple of g and 10.
30
Let k = -10/1253 + -26003/38843. Find the common denominator of -73/2 and k.
62
Let v = -81329/180 - -2269/5. Calculate the common denominator of (-1 - -55)*1/(-44) and v.
396
Suppose -4*q + 52 = 4*m, 10*q = 14*q - 5*m - 7. What is the smallest common multiple of 37 and q?
296
Let v(p) = 5*p**2 + 9*p + 19. Let q be v(-10). Calculate the smallest common multiple of 1 - (-26)/(-22) - (-7800)/q and 14.
126
Let f(p) = -5*p**2 + 2*p + 5. Let d be f(5). Let j = 310/3 + d. Calculate the common denominator of 81/4 and j.
12
Let z = -5679 + 18390. Let m = z + -126987/10. Find the