
20
Suppose 0 = -9*d + 4*d + 345. Let q = d + 24. Calculate the common denominator of -28/11 and -4*(-1 + q/24).
22
Let d = -112357 - -112469400/1001. Find the common denominator of 1/7 and d.
1001
Find the common denominator of (-15)/(-80)*225/(-27) and (-1 - (-195)/(-6))*-1.
16
Let c = 1/193 - -108/16405. Find the common denominator of -15/119 and c.
595
Let h = -1936 + 15427/8. Let m = -52417/18 + 2909. What is the common denominator of m and h?
72
Let i be ((-1446)/(-8))/((-15)/24). Let j = i + 287. Find the common denominator of 0 + 26*10/72 and j.
90
Let f = -1537 - -857. Let z = -2068/3 - f. What is the common denominator of 46/21 and z?
21
Let z be (-4)/(72/62205) - 1. Let m = 3432 + z. Calculate the common denominator of m and -151/6.
6
Suppose -4*y + 3*t - 2*t + 3 = 0, -3*y + 11 = t. What is the smallest common multiple of y and 602?
602
Let k(s) = -4*s + 6*s**2 + 2*s - 5*s - s**3 - 3. Let b(q) = -q. Let r(j) = 2*b(j) - k(j). What is the least common multiple of r(5) and 1?
3
Suppose 4*z = z + 6. Let a(j) = -j**2 + 17*j + 6. Let y be a(16). Let r = y + -20. What is the smallest common multiple of r and z?
2
Suppose -3*y + 315 = 5*n, -2*n + 15 = 3*n. What is the lowest common multiple of 50 and y?
100
Suppose 6*s - 5*s = 0. Suppose o - 5 + 6 = s. Calculate the common denominator of 59/6 and -4*((-21)/27 - o).
18
Let i(t) = 1 - 19*t + 9 + 21*t. Calculate the smallest common multiple of i(5) and 7.
140
Let a = 12 - 26. Let q be 214/10 - a/(-35). Find the common denominator of 32 and q/(((-24)/(-9))/4).
2
Let j = 773/28 + -174/7. Find the common denominator of 5/((-300)/261)*-2 and j.
20
Let n(j) = j**2 - 16*j + 103. Calculate the smallest common multiple of 25 and n(14).
75
Suppose 0 = f - 15 - 15. Let g = 20 - 16. What is the lowest common multiple of f and g?
60
Calculate the common denominator of (-2)/6 - 3*(-150)/54 and -47/22.
22
Let g = -3766 - -8281. Suppose -5*c + g = -2*c. Let s = c + -6057/4. What is the common denominator of 19/34 and s?
68
Suppose 0 = 13*u - 18*u - 4*p + 118, -2*p - 84 = -4*u. Suppose 3*a - 30 = 270. Suppose -5*m + 0*m = -a. Calculate the least common multiple of u and m.
220
Let h = -69127/19250 - -1/9625. Let z be (0 - 1) + 4 + -1. What is the common denominator of h and z + (-6)/((-252)/(-285))?
154
Suppose 3 = -5*v - 2*y - 0, -y - 4 = 0. Let t(i) = i**3 - 7*i**2 - 2*i - 42. What is the least common multiple of t(8) and v?
6
Let r(b) = 7*b + 19. Let s(x) = -4*x - 10. Let g(y) = -3*r(y) - 5*s(y). Let i be ((-39)/(-15) + -1)*-5. What is the least common multiple of 9 and g(i)?
9
Suppose -2*a - 6 = -10. What is the common denominator of -56/15 and a/66*-107 - (3 - 4)?
165
Let u be (-7 - 23/(-5))/(3/(-10)). Let l(j) = 4*j - 30. What is the smallest common multiple of l(u) and 29?
58
Suppose c - 56 = p, -3*p + 209 = 4*c - 4*p. Find the common denominator of (c/36 + 0)*-3 and (-9)/(-2) + (-15)/(-25).
20
Let w be (5/4)/((-1)/(-4)). Suppose -5*r - 2*t - 31 = -81, 0 = 3*r + w*t - 49. What is the lowest common multiple of 18 and r?
72
Let o(a) = -a**2 - 2*a + 1. Let d be o(0). Calculate the common denominator of -41/18 and -5 + (d - 0) + (-4)/(-9).
18
Let t be ((-19)/(-6))/(48/(-6588)). Let i = 434 + t. Calculate the common denominator of (-6)/20*(20 - 2) and i.
40
Suppose x + 7805 = 4*x + 2*o, -3*o = 2*x - 5200. Let q = -10345/4 + x. Calculate the common denominator of q and -81/52.
52
Suppose -4*d + 17 = -3. Suppose 0 = q - a + 26, -2*q + d*a - a - 60 = 0. Find the common denominator of q and -93/8.
8
Let f = -99 + 114. What is the common denominator of -11/12 and ((-6)/16)/((f/(-77))/1)?
120
Let s = -2723 - -16465/6. Calculate the common denominator of s and 105/22.
66
Let n = 71 + -66. Suppose 36 = n*v - 39. Calculate the lowest common multiple of 9 and v.
45
Suppose -7*g = -9*g + 2*q + 34, 5*g = -4*q + 94. Calculate the least common multiple of g and 66.
198
Let z(v) = -v**2 - 11*v + 8. Let p be z(-9). Find the common denominator of 278*3*3/108 and (-29)/(3 - p/4).
42
Suppose 2*g - m - 4*m + 7 = 0, 3*m + 3 = 3*g. Let q(c) = 127*c - 1139. Calculate the smallest common multiple of g and q(9).
4
Suppose -10*l + 6*l = -64. Suppose m = 2*i - 12, 3*i + m - 8 = 5. Suppose -33 = -i*q + 17. Calculate the least common multiple of l and q.
80
Let m(s) = 3 - 591*s - 1175*s - 838*s. Let c be m(-3). Let v = c - 78053/10. Find the common denominator of -69/2 and v.
10
Let x(i) = -2*i + 98. What is the smallest common multiple of x(7) and 18?
252
What is the common denominator of 202/77 - (-7 - -5)*-1 and -62/63?
693
Let x(m) = -m**2 + 10*m + 6. Suppose 5*l = -7 + 57. Calculate the least common multiple of x(l) and 24.
24
What is the least common multiple of 40 and (126/(-27) + 6)/(1/21)?
280
Calculate the common denominator of -127/12 and (1/(-2)*1)/(1638/(-994)).
468
Let r = 49 - 29. What is the common denominator of -121/18 and -1*r/(-5) + 48/21?
126
Let x = -629 + 653. What is the smallest common multiple of x and 42?
168
Let s(q) be the second derivative of -q**5/20 + q**4/2 - 5*q**3/3 + 12*q**2 + 22*q. Calculate the smallest common multiple of 20 and s(4).
80
Let l = -562757 - -325273445/578. Find the common denominator of l and 61/4.
1156
Let i(g) = 76*g**2 + g - 1. Let t be i(1). Let j = -66 + t. Calculate the smallest common multiple of (13 - -2)/(3/2) and j.
10
Find the common denominator of (27/(-28))/(((-24)/(-14))/(-1)) and -4 + -2*108/16.
16
Let m be 4/(-2) - (-5 - 28). Let n = -13 + m. Calculate the lowest common multiple of n and 20.
180
Let w = 5948 - 2360. Let o = -21575/6 + w. Find the common denominator of o and 63/22.
66
Find the common denominator of 2/(((-12)/(-14))/3) and (-22)/(84/1386 + (-60)/22).
4
Calculate the common denominator of 9/(-63) - (0 + (-61)/14) and 2 + -11*26/36.
126
Let l = 1038 + -1033. Let w = -4 + 1. Let u = 8 + w. Calculate the least common multiple of u and l.
5
Suppose 0 = 4*s - 22 - 6. Calculate the least common multiple of ((-17)/(17/(-12)))/2 and s.
42
Let s be ((-3453)/28)/((-693)/42). Let y = -13/77 - s. What is the common denominator of y and (5/(-90))/((-2)/33)?
84
Let p(a) = -a**3 + 5*a**2 + 3*a + 7. Let g be -3*((-52)/(-3) - -2). Let o = -44 - g. What is the least common multiple of o and p(5)?
154
Let r(z) = z**2 - 17*z + 73. Calculate the lowest common multiple of r(4) and 98.
294
Let z = -37/13 - -361/104. Let p = -73 + 71. Find the common denominator of z and (p/7)/((-6894)/(-2226) + -3).
72
Suppose -5*n - 4*u + 2 = -4, 2*n - 6 = 2*u. Suppose n*b - 4*i = i + 10, 2*b - 16 = 2*i. Suppose -f = -6*f + b. What is the lowest common multiple of f and 2?
2
Suppose -2*k + 4*k = 0. Let p(j) = -j + 21. Let z be p(k). Suppose -3*l - 3 + z = -3*g, 0 = 2*l + g. What is the lowest common multiple of 4 and l?
4
Let q = 14/72537 + -5469647/152182626. Calculate the common denominator of q and 107/18.
18882
Find the common denominator of ((-45)/10 + 3)/(-2) and 1/4.
4
Let s = 17 + -12. Suppose -b = -s*b. Let u(y) = -y**2 + y + 6. Calculate the lowest common multiple of 1 and u(b).
6
Let p be (-83)/(-9) - (-5 + 94/18). What is the least common multiple of 16 and ((-3)/p - -4)/(1/6)?
176
Let h be (-77)/(-121)*(-1429)/120. Let x = 139347 + -7664417/55. Let y = h - x. Calculate the common denominator of y and 67/8.
24
Let z = -11 - -26. Let x(r) = 3*r - 34. What is the lowest common multiple of 6 and x(z)?
66
Suppose -1 = 3*j - 13. Find the common denominator of j + (197/(-14) - -2) and ((-69)/6)/(-9 + 0).
126
Let b(l) = 5*l + 131. Calculate the lowest common multiple of 24 and b(8).
1368
Find the common denominator of (-71)/(836/(-88) + 1/(-2)) and -33/8.
40
Suppose 2*g = -0*g + 166. Let a = g - 79. What is the lowest common multiple of a and 10?
20
Let b = 355825/1308378 + -1/34431. What is the common denominator of b and 5 + -7 + (-13)/18?
342
Suppose 0 = -8*m + 3*m + 75. Calculate the lowest common multiple of ((36/m)/(-1))/((-9)/60) and 2.
16
Let u(n) = 3*n - 24. Let i be u(7). Let m = 455/2 + -216. What is the common denominator of m and (-1)/14*5*i/5?
14
Suppose 11*a = 14*a - 36. What is the least common multiple of a and 44?
132
Let a = 14 - 8. Suppose -81*l = 14*l - 2850. Calculate the smallest common multiple of a and l.
30
Calculate the common denominator of 13/2 and 280/3