 denominator of j and -69/40.
80
Suppose 0 = -5*z, -165 = -7*h + 2*h + 3*z. Let i(a) = a**3 + 3*a**2 + 2*a + 21. Calculate the smallest common multiple of h and i(-3).
165
Let t = -3372962183339/264004887756 - 4/169668951. Let d = t + 75/389. What is the common denominator of d and -9/14?
84
Let l(w) = -6357*w + 6. Let x be l(-5). Suppose -4*o + 10073 = -x. Let h = -230359/22 + o. What is the common denominator of h and -107/14?
154
Let c(j) = j + 1. Suppose 3*q = b - 16, 5*b + 5*q - 4*q = 0. Calculate the lowest common multiple of c(b) and 9 + (5 - 2)/(5 - 6).
6
Suppose 5*j - 16 = 2*k, 20 = 4*j - 0*j + 2*k. Let x(z) = -z**2 + 9*z - 5. Let c be x(10). What is the lowest common multiple of j and (c + -1)*(-1)/2?
8
Let s = -636 + 1885/3. Let h = 10629/14 - 753. Find the common denominator of h and s.
42
Let d be -3*(920/(-15))/(-4). Let o = -31 - d. What is the least common multiple of o and 27?
135
Suppose 89 = 19*w - 101. Let q(v) = v**2 - 3*v + 4. What is the least common multiple of w and q(3)?
20
Suppose -15*z + 20*z = -600. What is the common denominator of (-158)/(-16) + (-2)/(-8) and 1352/z - -7 - 1/(-2)?
120
Let a = -407747/2070 + 4495/23. Calculate the common denominator of -41/70 and a.
630
Let o be 5*4/(2 - -2). Suppose -4*b + 5*m = 2096, o*m - 3*m + 2068 = -4*b. Let p = b + 1115/2. Calculate the common denominator of p and -35/11.
22
Let n = 2661 - 7912/3. What is the common denominator of n and 54/5?
15
Suppose -3*p + 2 - 112 = -2*r, 4*p = -8. What is the least common multiple of 20 and r?
260
Let u = 10967/6 - 1836. What is the common denominator of -15/34 and u?
102
Let g = -93 - -148. Suppose 1 - 11 = -2*i, j - g = -3*i. Let q = -64 + j. Calculate the common denominator of 149/6 and q.
6
What is the least common multiple of 37 + ((-16)/7 - 62/(-217)) and 42?
210
Let v = -1 + 3. Suppose -3*i = -2*h + 4*h + 2, 0 = -3*i - h + v. Suppose 0 = p - i. Calculate the lowest common multiple of p and 8.
8
Suppose -5*q - 18 = 4*p, 5*q - 7*p + 3*p = -42. What is the least common multiple of (81/54)/((-1)/2) + 17 and 41/3 + (-2)/q?
14
Suppose -31*l + 26*l = -10. Calculate the least common multiple of 88/(-66)*(-30)/4 and l.
10
Let s = 26294/6501 + 1/1182. Suppose 3*r = 3*v - 15 - 24, 37 = 4*v + r. Find the common denominator of s and (-1)/10*133 - v/(-75).
66
Let m(u) = -u - 27. Let j be m(0). Let d = -26 - j. What is the least common multiple of d and 9?
9
Calculate the common denominator of -37/30 and (-135)/81 + (-2)/(-20).
30
Suppose -f + 8 = -10. What is the least common multiple of 0 - 2/9 - (-40)/f and 25?
50
What is the common denominator of -101/40 and (6 + (-241)/16)*(-27)/(-90)?
160
Let d(g) = 2*g**2 + 2*g - 3. Let w be d(2). Suppose 4*x - 61 = -w. Let m = -6 + x. What is the lowest common multiple of 9 and m?
63
Find the common denominator of -2 + 55/20 - (-651)/108 and 53/(-5) - (1 - 2).
45
Suppose 2*v + 6*o - 4*o - 22 = 0, o + 1 = 0. What is the common denominator of 44/9 and -14 + 10 - 62/v?
18
Let x be 26/(-117) - 12415/(-18). Let k = x - 709. Calculate the common denominator of 1/12 and k.
12
Let j(h) = -6*h**3 - 2*h**2 - 2*h + 4. Let y be j(4). Find the common denominator of 29 and ((-21)/y)/((-1)/(-6)).
10
Suppose 3*y - 2*y + 105 = -5*s, 0 = 3*s - 9. Let j = 212 + y. What is the lowest common multiple of 14 and (-12)/30 - j/(-5)?
126
Let g = -8 + 14. Suppose 8*z - 23*z = -75. What is the smallest common multiple of g and z?
30
Suppose -2*p = 3*t - 16, -5*t + p + 18 = -0*p. Suppose -4 = -4*j, -2*j - 2*j = -3*i + 14. What is the least common multiple of t and i?
12
Let f = 407/48 - -11/16. Find the common denominator of 61/30 and f.
30
Let d = 84 - 78. What is the common denominator of (-2)/d*(-804)/(-64)*-2 and -62/9?
72
Let y = 118 + -100. Calculate the least common multiple of 6 and y.
18
Let s = -1506 + 1779. What is the smallest common multiple of 312 and s?
2184
Calculate the common denominator of 37/6 and (-299)/39*6/172.
258
What is the common denominator of (-1899)/(-324) + 1/(-4) and -37/2510?
22590
Suppose -o - 33 - 5 = 0. Find the common denominator of 2/64*o*1 and 255/(-10) + 4/1.
16
Suppose 10*f - 97 = 63. What is the smallest common multiple of f and 6?
48
Let p(k) = 5*k**2 - 33*k - 69. Let s(v) = -2*v**2 + 16*v + 34. Let m(n) = 3*p(n) + 7*s(n). Calculate the least common multiple of 30 and m(-11).
90
Find the common denominator of (-13)/(-12)*(-6)/10 and (-1030)/(-40) - (-15)/20.
20
Suppose -6*x + 280 = -2*x. Suppose u + 70 = 3*h + 15, -3*h - 2*u = -x. Calculate the lowest common multiple of 8 and h.
40
Suppose 0 = 3*c + d - 93, -2*d + 151 = 5*c - 5. Let b = c + -29. Suppose -1 = -v + 3. What is the least common multiple of v and b?
4
What is the common denominator of (-4370)/165 + 8 + (-6)/33 and 14/185?
555
Let s be (-6)/(-15) + (-216)/15. Let j = -3 - s. Calculate the least common multiple of 1 and j.
11
Let f(j) = -j**3 + 6*j**2 - 4*j + 1. Let u be f(5). Let p(a) = 23*a - 74. Let m be p(3). Let c = u + m. Calculate the least common multiple of 8 and c.
8
Suppose -3*v - 14 = -4*v. Suppose 5*n = 3*k + 85, 24*k = 19*k - 25. Calculate the lowest common multiple of v and n.
14
Calculate the smallest common multiple of (15/(-9))/((-7)/168) and 16.
80
Let z = 10 - 4. Suppose 4 + z = 5*t. Suppose 2*j + 0*j = 16. Calculate the lowest common multiple of j and t.
8
Let f = 22231/56 + -2855/7. Find the common denominator of f and 61/6.
24
What is the common denominator of (-185)/(-30) + (-4)/6 and ((-285)/18)/5*(-27)/30?
20
Find the common denominator of -51/55 and ((-9)/234)/(15/114).
715
What is the common denominator of ((-426)/16*(-2)/(-24))/(11/(-44)) and (-3)/((-10)/28*-4)?
40
Let q(j) = -4*j + 166. Let h(k) = k**2 + k + 44. Calculate the lowest common multiple of q(40) and h(0).
132
Let h = -168 + 267. Calculate the lowest common multiple of h and 3.
99
What is the common denominator of 74/45 and (19/7 - 3)*(-1507)/(-132)?
630
Let f = 584 + -28031/48. What is the common denominator of f and 37/6?
48
Let z be 56511/(-28) - (5 - 2). Let g = z - -2231. Let j = 681/4 - g. What is the common denominator of j and -57/16?
16
Suppose 0 = -a - 3*p + 33, a - p - 4 - 9 = 0. What is the common denominator of 55/7 and (6/5)/(-19 + a)?
35
Let b be 2495/3316 - 1 - (-13)/52. Let p = 31508/2487 - b. Find the common denominator of -89/10 and p.
30
Let p(f) = 3*f + 72. Let s be p(18). Calculate the common denominator of -1/8 and (10/6)/(s/27).
56
Let l = -693 + 9707/14. Calculate the common denominator of l and (-208)/(-416)*(-13)/(-8).
112
Let o = 1995 - 8063/4. Find the common denominator of -74/9 and o.
36
Suppose -x + 2 = -0*x. Calculate the common denominator of 465/20*(-6 - -4) and (70/x)/((-88)/(-4)).
22
Suppose -24 = -4*f + 4. Suppose t + 0*t + p - f = 0, -5*t = p - 43. Calculate the lowest common multiple of 15 and t.
45
Let d be 3/2*(-8)/(-3). Calculate the least common multiple of 8 and 4/(d/24*4).
24
Let i be 4*(-4 - 10/(-4)). What is the lowest common multiple of 3 and i + 3 - (3 - 33)?
27
Let g = -16321/10 - -1628. What is the common denominator of g and -41/160?
160
Let c(x) = x**3 - 7*x**2 - 8*x + 6. Let d(r) = 7 - 35*r + 5 + 33*r. Calculate the lowest common multiple of d(5) and c(8).
6
Suppose 0 = 2*s + 2*i + 12, -3*s = -6*s - i - 22. What is the common denominator of 1*(s/7 + 4/(-8)) and -39/2?
14
Let q = 1/49274004 + 14079512841283/344918028. Let z = -40818 + q. Let l = z + 1315/462. Find the common denominator of l and -74/9.
99
Let k be 8 + 8*5/(-10). Calculate the common denominator of (13/(-3))/(-5 - k) and 53/7.
189
Let b = -238669/18 + 13267. What is the common denominator of 42/80*(-3 - 3) and b?
180
Let d = 15031221/392 - 38345. Calculate the common denominator of -23/22 and d.
4312
Let h(s) = -s**3 + 13*s**2 - 10*s - 11. Let z be h(12). Let p = z + 5. Calculate the smallest common multiple of p and 26.
234
Let s = -453947/57 - -7963. Let x = 490/41 + -1417/369. Calculate the common denominator of s and x.
171
Let m = -494 + 506. What is the smallest common multiple of m and 60?
60
Let c = 12921430/221702121 + 2/403829. Calculate the common denominator of 26/61 and c.
549
Let v(x) = 3*x**3 + 2*x. Let q be v(-2). Let b = 39 - q. What is the common denominator of 63/4 and (-18)/9 - b/10?
20
Calculat