**3. Calculate the lowest common multiple of d and x(-2).
28
Suppose -15 = -p - 2*o, 6 + 19 = 3*p + o. Let j = 6452 + -6442. What is the smallest common multiple of p and j?
70
Let v = -109/5 - -71/4. Let n(z) = -z**3 - z**2 + z - 17296. Let i be n(0). Let u = i - -795671/46. Calculate the common denominator of u and v.
460
What is the common denominator of 15/2 and 73/(-413)*1232/(-352)?
118
Let m = -6570/7 + 118715/126. Calculate the common denominator of 69/(-54) - 1/3 and m.
18
Suppose 5*u - 100 = 80. Find the common denominator of 50/21 and (-4)/16 + ((-749)/u)/7.
63
Let i = 75 + -71. Let d = 42 - 28. What is the smallest common multiple of d and i?
28
Calculate the common denominator of (-5 + 256/36)*-12 and -30/37.
111
Let i(b) = -b**2 - 5*b - 2. Suppose -4*k = 5*p - 713, 3*k - 511 = -0*p + p. Calculate the smallest common multiple of -3 + k/10 + (-1)/5 and i(-4).
14
Let p = -2842 - -56861/20. Let s be -4 + -1 + 136785/(-40). Let y = s + 3419. Find the common denominator of p and y.
40
Suppose 0 = 7*o - 1446 + 1131. Calculate the least common multiple of o and 33.
495
Suppose -8*g + g + 231 = 0. Suppose -2*v = -5*d - 58, 5*v - 2*d - 126 = d. Calculate the lowest common multiple of g and v.
264
Let j(f) be the first derivative of -f**3/3 + 3*f**2 + 7*f + 1. Let g be j(6). Let z = g - 5. Calculate the smallest common multiple of 3 and z.
6
Suppose 3*u + 186 = 3*s, -5*u - 24 = 4*s - 290. Suppose 5*w - s = -24. Let h = 29 + -13. What is the least common multiple of h and w?
16
Let s = 104 + -122. Suppose -4*w + w - 108 = 0. Let h = s - w. Calculate the lowest common multiple of h and 16.
144
Suppose -p + 36 = 2*p. Suppose 96 = 6*b - 2*b. Let m = b - p. Calculate the smallest common multiple of m and 20.
60
Let w = 2667 + -24023/9. What is the common denominator of w and -89/357?
1071
Let m(w) = -628*w + 17. Let i be m(4). Let q = -67339/27 - i. Calculate the common denominator of -1/9 and q.
27
Let z(n) = -12*n**2 - 58*n. What is the lowest common multiple of z(-4) and 36?
360
Suppose 4*s - 10*s = -360. What is the least common multiple of s and 112?
1680
Let s be -22 - (-4)/10*5/1. Let r = s + 29. Calculate the smallest common multiple of 3 and r.
9
Find the common denominator of -68/117 and 479/(-312) + 1 + 96/256.
468
Suppose -4*a + a = -33. Let l = -779 + 810. What is the smallest common multiple of l and a?
341
Let j = 202 - 184. Let t = 21 + -12. Suppose 7 + t = b. Calculate the least common multiple of j and b.
144
Let t(a) = -a**3 + 6*a**2 + 2*a - 12. Let n be t(6). Suppose -5*g + 39 + 11 = n. What is the smallest common multiple of g and 7?
70
Suppose -14 = 2*l - 5*v, l - 7 = -0*l - v. Let r(t) = 3*t**2 - 7. Calculate the least common multiple of r(l) and 8.
40
Let w = 515 - 467. Calculate the lowest common multiple of 18 and w.
144
Suppose 116 - 44 = 2*z. Calculate the smallest common multiple of z and 36.
36
Let r be (-6)/21 + 1686/21. Let n be 9/(2052/r)*207. Let i = -12769/152 + n. What is the common denominator of i and 51/7?
56
Suppose -b - 10 = -5*j, -20 = -18*j + 13*j - b. Calculate the smallest common multiple of j and 27/1 - 0/(-1).
27
Suppose -m = m - 72. Let g = -1155 + 1158. What is the smallest common multiple of m and g?
36
Suppose -3*y = -107 + 23. What is the common denominator of 3 + 0 - 405/(-20) and -14*y/80 - 1?
20
Let y(i) = -30*i**2 + 5*i - 5. Let c be y(1). Let n = 42 + c. Calculate the smallest common multiple of 44 and n.
132
Let w(z) = 83*z - 75. What is the least common multiple of 20 and w(1)?
40
Let m(h) = -17*h + 16. Let o be m(-12). Find the common denominator of (-230)/o*(-4 + 2) and (-63)/(-10) - -1 - 4.
110
Suppose 0 = -4*y - 4*f + 120, -3*f = y - 14 - 16. Calculate the common denominator of 19/11 and (-134)/y + (-12)/(-36).
165
Suppose -12 = -5*f + 4*f. Let k = 11 - -9. Let b = k - 4. Calculate the lowest common multiple of b and f.
48
Find the common denominator of -115/24 and 4*(-1)/1 - (-14344)/1408.
48
Suppose c - 4*u + 8 = 0, -4*c + 25 = 6*u - 3*u. Suppose -k - c*q + 22 = -3*q, 0 = -4*q + 16. What is the least common multiple of 92/5 - 2/5 and k?
18
Let o(w) = -w**2 - 3*w. Let y be o(-4). What is the common denominator of 13/18 - (21/7 + y) and 46/11?
198
Let w(i) = -i**2 + 7*i + 10. Let b(u) = -u - 19. Let r(o) = o + 20. Let y(c) = -4*b(c) - 3*r(c). Calculate the lowest common multiple of y(-12) and w(7).
20
Suppose -43 = -3*l + 26. Suppose -4*k = -l - 9. Calculate the least common multiple of 12 and k.
24
Let j = -8 - -16. What is the smallest common multiple of j and (-3 - -1)/(26/(-104))?
8
Let x = -2037 + 103930/51. Find the common denominator of x and -53/119.
357
Calculate the least common multiple of 24 and (-4648)/(-63) - 10 - (-4)/18.
192
Let p(f) = 10*f - 56. Calculate the smallest common multiple of 6 and p(13).
222
Suppose -3*b + 136 + 62 = 0. Calculate the least common multiple of 120 and b.
1320
Let c be 0/(-1) + 2 + 841/(-3). Let n = 281 + c. Calculate the common denominator of -41/8 and n.
24
Let d be 4*1*(-3)/(-4). Suppose 0 = -c + 6 - 0. Calculate the smallest common multiple of c and (-16)/d*(-15)/4.
60
Let i = -36 - 19. Let q = i - -65. Calculate the lowest common multiple of q and 6.
30
Let m(o) = -o**2 - o + 25. Find the common denominator of 1 + -77*1/(-8) and m(-5).
8
Let v = 3235/4 + -786. Calculate the common denominator of 3/(-96)*(-5 - 864/(-42)) and v.
224
Suppose 0*f - 42 = -3*f. Suppose -3*i = 5*h - 103 + 68, -h + 4*i + 30 = 0. Calculate the smallest common multiple of h and f.
70
Suppose 480 = -10*u + 1980. What is the lowest common multiple of 26 and u?
1950
Suppose 240 = -5*w - 4*p, -w = w + 5*p + 96. Calculate the least common multiple of (3/12)/((-6)/w) and 3.
6
Let o = -154327/18 + 8577. Calculate the common denominator of o and 145/6.
18
Let n be (11 + -17)*(0 + (-58)/4). Suppose -3*j - 63 = -n. Calculate the lowest common multiple of 3 and j.
24
Calculate the least common multiple of 35 and 13*5 + (-55)/22*-2.
70
Suppose -787 + 332 = -13*v. What is the lowest common multiple of v and 63?
315
What is the common denominator of -37/33 and 42/(-105)*(-860)/48?
66
Let j be -19 - -3 - 0/(-1). Find the common denominator of (-35)/j - (-10)/(-5) and -67/4.
16
Suppose k - 4 = 0, 33 + 87 = 4*i - 4*k. Let q = 38 - i. What is the smallest common multiple of 52 and q?
52
Let q = -127111526 + 513649701/4. Let w = -58227681/44 + q. Let s = -22453 - w. What is the common denominator of 11/20 and s?
220
Let b = 72 - 63. What is the least common multiple of b and 18?
18
Let n(u) = -u**2 - 29*u - 10. What is the least common multiple of 8 and n(-23)?
128
Let j = -257 + 261. What is the lowest common multiple of 1 and j?
4
Suppose -29*i = -23*i - 54. Suppose 5*g + 8 = 68. Calculate the smallest common multiple of g and i.
36
Suppose o + 2*n + 2*n = 45, -2*o + 72 = 2*n. Let p = -23 + o. Calculate the lowest common multiple of 12 and p.
60
Suppose 17*d = -116 + 303. What is the least common multiple of 43 and d?
473
Let o = 323 + -162. What is the least common multiple of o and 23?
161
Let h be (6/(-9))/((-4)/(-6)). What is the smallest common multiple of (-2)/(994/56 - 18) and (3 + h)/((-2)/(-9))?
72
Let x be 2*(-25196)/8 + 2. Let w = x + 125847/20. Calculate the common denominator of w and (-932)/(-144) - 1/(-4).
180
Let l = -2/619 + -45800/1857. Find the common denominator of l and -87/64.
192
Let k = -40 - -51. Suppose 6*h - 5*l = 3*h + 17, 2*l = -2*h + 22. Calculate the lowest common multiple of k and h.
99
Let c = -12 + 30. What is the lowest common multiple of 0 - (-13)/((-52)/(-48)) and c?
36
Let f be ((-35)/20)/(1/8). Let j = 124 - 119. Calculate the lowest common multiple of 4 and -1 + (5/j - f).
28
Let c = -10633792/231 + 982941/22. Let o = c + 1357. What is the common denominator of 17/24 and o?
168
Let m(o) = -263*o - 4. Let r be m(9). Let w = -16633/7 - r. Let z = -9753/5 - -1958. Find the common denominator of w and z.
35
Suppose 0 = -4*t - 5*v + 133, 2 + 18 = 4*v. Calculate the lowest common multiple of 81 and t.
81
Calculate the least common multiple of (30/25)/((-16)/(-200)) and 366.
1830
Suppose 5*l - 80 = -4*p, -5*l + 44 = 3*p - 41. Calculate the least common multiple of 35 and l.
140
Suppose 8*z = 5*z. Suppose z = -0*b + 3*b - 15. Suppose -40 = -5*