
Let w = 8 - -11. Let g(d) = d**3 - 18*d**2 - 17*d - 20. What is the least common multiple of g(w) and 10?
90
What is the lowest common multiple of (1/3)/((-2)/(-684)) and 5?
570
Let r(n) = n**3 + 2*n**2 - n. Let y(p) = p + 5. Let m be y(-5). Suppose m = -t + 1 - 0. What is the lowest common multiple of r(t) and 4?
4
Let k(y) = y**2 + 4*y + 4. Let d(m) = -m**2 - 8. Let h be d(0). Let s be k(h). What is the smallest common multiple of s/2*(-2)/(-3) and 2?
12
Suppose 5*x + 80 = 2*m + 483, x = -3*m + 84. Suppose 0 = 3*c, -c = 3*t - 3*c + x. What is the common denominator of t and (-782)/42 + 2/7?
3
Let r = -8 + 13. Suppose -r*q + 20 = -3*q. Let u = 65 + -45. What is the lowest common multiple of u and q?
20
Let f be (-12)/(-9)*3 + 7261. Let a = 145367/20 - f. Calculate the common denominator of a and 37/6.
60
Suppose o - 4*n + 3*n = 182, -o - 2*n + 185 = 0. What is the least common multiple of o and 30?
1830
Let m be 10028/56 - 3/(-7). Let f = 194 - m. Find the common denominator of 81/(-20) - (-7)/(-14) and f.
20
Let t(k) = -k**2 - 7*k - 3. Calculate the least common multiple of (-2)/2 + 2 - 6/(-1) and t(-3).
63
Let t(w) = 3*w - 10. Let i be t(4). What is the least common multiple of i/3*(-2)/(6/(-117)) and 4?
52
Let w be (2/4 + 0)*-6. Let m = -12 + w. What is the common denominator of -39/8 and (85/(-15))/(2/m)?
8
Find the common denominator of (-6)/12 - (-34)/(-16) and -46/53.
424
Let o = 30595/12 + -2544. Find the common denominator of -93/10 and o.
60
Let z = 92/9 - 6152/603. Let h = z + -766/335. Find the common denominator of h and -13/10.
30
Let m(k) = -k**3 - 5*k**2 - 5*k + 1. Let o be m(-4). Suppose -o*b + 76 = 3*t, 0*t + 36 = 3*b - 3*t. Calculate the lowest common multiple of b and 2.
14
Let u(w) be the second derivative of w**4/12 - w**3/6 + w**2 - 10*w. Calculate the least common multiple of 10 and u(2).
20
Let u = 44 - 41. Suppose -n + 4*n - b = 15, 21 = 5*n - u*b. Calculate the smallest common multiple of 11 and n.
66
Calculate the least common multiple of 341 and (-3 - -4)*4/(-20)*-155.
341
Let t be (1 - (1 + 3)) + 120. Let z = t - 67. Let a = 72 - z. Calculate the smallest common multiple of a and 12.
132
Let f = 52/305 - 1347/244. Calculate the common denominator of ((-1)/5)/((-15)/(59250/160)) and f.
80
Calculate the common denominator of -31/117 and (-4)/10 - (-2282)/3150.
2925
Suppose -d + n = -0*d + 8142, -4*d = -5*n + 32573. Let z = -243941/30 - d. Calculate the common denominator of -76/9 and z.
90
Find the common denominator of (-33)/171*(10/5 - 9) and 55/12.
228
Let c = 2 + -15. Find the common denominator of ((-15)/(-10))/(c/(-7)) and -103/18.
234
Suppose 351 = -3*b + 3*r, -5*r = -b - 26 - 103. Calculate the common denominator of 29/7 and ((-247)/b)/(22/6).
154
Let r = 50 - 26. Suppose 596 - 164 = 24*m. Calculate the smallest common multiple of r and m.
72
Let v = 543 + -529. Let w = 0 + 6. What is the smallest common multiple of v and w?
42
Let v = -63 + 53. Find the common denominator of 19/10 and (-2)/v*31 - 2.
10
Let j be (-10)/(-5)*(3 + 11*-5). Let d = 126 + j. Suppose -26 = -2*v - 2*g, -4*v = 5*g - 36 - 13. What is the lowest common multiple of v and d?
176
Find the common denominator of -101/10 and (-13)/156*(2 - 87/5).
60
Let l = 29462959445/6831 - 4313123. Let h = -11/621 - l. What is the common denominator of 59/5 and h?
165
Let t = 10 - 6. Suppose -j + 4*j = 5*f + 41, j - 19 = 3*f. Let p = j - 3. What is the lowest common multiple of t and p?
4
What is the smallest common multiple of 2 and -28*((-42)/60 + (-3)/(-15))?
14
Suppose -6*f - 900 = -12*f. What is the common denominator of 101/36 and (f/77)/(36/63)?
396
Let r = 2576 + -2498. Calculate the lowest common multiple of r and 441.
11466
Suppose -5*n = -7 - 73. Calculate the least common multiple of 24 and n.
48
Let z = 129 - 109. What is the least common multiple of 80 and z?
80
Let m(s) = 5*s - 8 + 6*s - 2*s**2 - 1 - s. Let v be m(5). What is the smallest common multiple of ((-6)/(-9) - 4)*v and 4?
60
Suppose -3*i = -641 - 481. Let z = i + -3356/9. Find the common denominator of 3/2*(-69)/(-18)*-2 and z.
18
Let w(u) = u**3 - 14*u**2 + 24*u + 10. Let q be w(11). Let z = 94 + q. What is the least common multiple of z and -4*-1*2/2?
20
Suppose -5*o + 61 = -4*g - 199, g = -2*o + 91. Let k = -16053 - -16059. Calculate the smallest common multiple of k and o.
48
What is the smallest common multiple of 40 and (14/4)/7*(-3 + 7)?
40
Let j(r) = -r**3 + 4*r**2 - 2*r + 1. Let z(h) = -h**2 + 11*h + 18. What is the smallest common multiple of j(3) and z(11)?
36
Let b = 8/27429 + -1143707/2852616. What is the common denominator of b and -39/14?
2184
Calculate the common denominator of (1 - 0) + 2270/(-660) and 37/48.
528
Suppose 15*c - 1 = y + 13*c, -2*c + 15 = y. Calculate the lowest common multiple of y and 21.
21
Calculate the common denominator of 169/90 and 4/60*(727/18 - -1).
270
Let a = 1673/11400 + 11/950. What is the common denominator of a and -101/240?
240
Suppose -12*x + 66 = -x. Calculate the common denominator of -65/54 and 5/(10/x) - (-41)/12.
108
Let s = -2/26589 - -1196617/1488984. What is the common denominator of 113/40 and s?
280
Suppose -3*g - 4*m + 18 - 4 = 0, -2*g - 2*m = -12. Suppose 3*h + 5 = -55. Let q = h + 36. What is the smallest common multiple of g and q?
80
Suppose -4 = 4*i, 2*i + 5732 = -3*v - 3*i. Let z = -257149/5530 - -2/2765. Find the common denominator of v/(-506) - (-4)/22 and z.
22
Calculate the smallest common multiple of 2/(-4)*(-1 - 5) and (12/30)/(46/5 - 9).
6
Suppose -19*k + 266 = -0*k. Suppose 3*f + k = 4*z, 2*z - 2 + 0 = 4*f. Calculate the least common multiple of f and 40.
40
Let v be (3/416)/((-135)/105). Let q = v - 2875/416. Find the common denominator of q and -43/22.
132
Let j(i) = i**2 - 13*i + 66. What is the least common multiple of 10 and j(12)?
270
Let d = -2/55021 + -108352/46492745. Let m = 61689/1690 + d. Let s = -2006 + 20091/10. Find the common denominator of s and m.
10
Suppose -5*r = -7*w + 4*w + 28, 4*r + 8 = 0. Let l(v) = v**2 - 4*v - 1. What is the least common multiple of w and l(7)?
60
Let k = 5 - -4. Suppose 18 = 2*b + b - 3*q, -2*b = -5*q - k. Let h = -1 + b. What is the lowest common multiple of 16 and h?
48
Suppose -9*f - 837 = -1179. Let q(a) = -a**2 + 8*a - 6. What is the lowest common multiple of f and q(6)?
114
Let n(l) = 12*l - 13. Let s(x) = 6*x - 7. Let b(i) = -4*n(i) + 7*s(i). Let k be b(4). What is the common denominator of 4/6*k/266 and -91/8?
152
Let j = -26374/9 - -2934. Calculate the common denominator of 119/18 and j.
18
What is the common denominator of (627/3)/((-36)/1) - -2 and -63/2?
36
Suppose 78 = -2*o + y, 5*y = o + 35 + 22. Suppose 34 = -4*a - 3*z, 5*a + 3*z + 72 = 28. What is the common denominator of o and 8 + a + (-25)/3?
3
Let s = -8 - -15. Suppose 0 = s*b - 4*b - 27. What is the smallest common multiple of b and 5 - (0 + -2) - -2?
9
What is the common denominator of 4/(-3) - 15/(-12) and 71/22?
132
Suppose f + 132 = -3*f. Let d be 2/(-4 + (-357)/f). Let g = 1/25 + d. Calculate the common denominator of -18/11 and g.
33
Let b = -3025/4 + 773. Calculate the common denominator of -38/25 and b.
100
Suppose -v + 5*u - 2*u = -21, -4*v - 2*u + 70 = 0. Calculate the lowest common multiple of v/2 + (-8 - -8) and 11.
99
Suppose 0*n + 2*q - 2294 = -5*n, -4*n - 5*q + 1825 = 0. Let p be (-2)/9 - n/(-45). Let m = p - 4. What is the least common multiple of m and 4?
12
Let s(z) = 5*z - 1 - 10*z + 2*z. Let c be s(2). Calculate the common denominator of -103/18 and 1 + (c/18)/7.
18
Let q = 77 - 77. Suppose 4*z - 31 + 3 = q. What is the lowest common multiple of 5 and z?
35
Let c be (4/(-10))/(3/9285). Let s = c + 22307/18. Find the common denominator of 111/20 and s.
180
Let c(n) = n + 2*n - 7*n + 9. Let h(m) = -1. Let k(j) = -c(j) + h(j). What is the least common multiple of k(7) and 6?
18
Let d = -8179 + 114573/14. Let p be ((-100 - 0) + 1)/(-58). Let g = 881/87 + p. Find the common denominator of g and d.
42
Let g = 1/1050 + 4681/46200. What is the common denominator of g and 29/16?
176
What is the common denominator of (-16)/120 - 214/45 and -59/27?
27
Suppose 0 = 2*g - 6*g - 3*b + 73, 0 = -5*g - 2*b + 86. What is the smallest common multiple of g and 3*(-3 - -2)*7130/(-345)?
49