Let d = 693 + -311. Suppose -5*f + 0*f - 3*q = 505, 4*f + d = 2*q. Calculate the common denominator of -65/18 and f*(-4)/32*1.
36
Let k(j) = j**2 + 4*j - 10. Let c be k(2). Find the common denominator of -49/10 and (-410)/40*(0 + c).
10
Suppose -r - 2*c + 8 = 0, -3*c + 9 = -6. What is the lowest common multiple of 9 and ((-1)/r)/(4/88)?
99
Let b(u) = u**2 + 29*u + u**3 - 1 - 27*u - 3*u**3. Calculate the smallest common multiple of 84 and b(-2).
420
Let v(o) = o**3 - 2*o - 1. Let k be v(2). Let p(l) = -l - 16. Let y be p(-29). Let d = k + y. Calculate the lowest common multiple of 26 and d.
208
Suppose 5*j = 5*f + 730, 0*f + 4*f = 20. Let i = j + -449/3. What is the common denominator of i and 143/6?
6
What is the lowest common multiple of 1 - -886 - 4 - (-1 - 2) and 4?
1772
Find the common denominator of (-7)/60*(-17 + (-11 - -7)) and -23/50.
100
Let m = 11 - 8. Suppose 5*h + 5 = 5*j, m*h + 3 = 3*j - 2*h. What is the common denominator of j/1 + 158/(-16) and -17/4?
8
What is the common denominator of 5/42 and (-4)/(-1) - ((-7160)/528)/(-5)?
462
Let t = 4117202958539/150649520 + 1/150649520. Let r = t + -27326. Find the common denominator of r and 29/34.
476
Suppose -8*f - 4 = 12, 5*u - 138 = -f. Calculate the lowest common multiple of 324 and u.
2268
Let r be (-165431)/210 + (-2)/5. Let c = 790 + r. Calculate the common denominator of 77/6 and c.
6
Suppose o - 3*z = 57, -z = -2*o - 5*z + 124. Calculate the least common multiple of o and 8/(-10) + 114/5.
660
Let n = 7 + 57. Let d = -57 - -33. Calculate the least common multiple of 34 and 30/(-4)*n/d.
340
Let o be 260/6*-6*3/15. Let z = o - -63. Calculate the smallest common multiple of 10 and z.
110
Let n be 6/10 + 22719/(-37065). Let a = 10188029/7413 + n. Let x = a + -1393. What is the common denominator of -54/7 and x?
21
Find the common denominator of (-4)/30*(770/(-15) + 3) and 12/45 + 2/(-1).
45
Let a = 624 - 580. Let v be (6/(-3) - -2)/(-1). Suppose v = g + 5*t - 7, 4*t + 9 = 5*g - 113. Calculate the least common multiple of a and g.
44
What is the least common multiple of 480/56 + (-6)/(-14) and 39?
117
Let i(b) = 2*b - 7. Let k be i(6). Let o(m) = m**2 - 4*m + 1. Let y be o(k). What is the common denominator of -49/3 and (-18)/(-42)*76/y?
21
Suppose -2*x + l + 10 = 0, 4*x + x - 2*l - 24 = 0. Suppose -f - x*f = -20. Let m(v) = -v**2 - 8*v - 5. What is the least common multiple of m(-4) and f?
44
Calculate the common denominator of 2*((-57)/108 - 6/(-8)) and -82/15.
45
Let j = -75383/18 + 4180. What is the common denominator of (-2 - 1221/210) + 3/5 and j?
126
Let i = 320/13 - 1675/39. Suppose g = 2*g - 3. Find the common denominator of i and 9 + (g - 24/9).
3
Let r(l) = -7 + 1 - 2*l + 1 + 2. Let o be r(-3). What is the common denominator of (20/o)/(7/3) and -19/4?
28
Suppose -175 + 13 = -6*f. Let x = -65 - -95. Calculate the least common multiple of x and f.
270
Let j(r) = -r - 5. What is the least common multiple of -2*21*12/(-36) and j(-9)?
28
Suppose 4*p - 2 - 26 = 0. Calculate the common denominator of -125/6 and 515/(-345) + (p/6 - 1).
138
Let z be (9/3 + (-14)/(-2))*1. Suppose 3*l = -6, -5*l + 40 = 5*s + z. What is the least common multiple of s and 2?
8
Suppose -474 = -28*j + 114. Calculate the lowest common multiple of j and 93.
651
Calculate the common denominator of (-1)/(-3)*(-3354)/240 - -6 and 19/20.
120
What is the common denominator of (6 - (-498)/(-96))*(-1 - 6) and 1/29?
464
Let t be (-1)/(1/(-2)) + -1. Let b = 7 + t. Suppose b = 4*l - 48. What is the least common multiple of 8 and l?
56
Let p(v) = v**2 - 7*v + 6. Let i be p(7). Suppose i = -3*h + 5*h. Let c = h - 1. What is the least common multiple of c and 20?
20
Let j = -20 - -29. Let z(o) = -o + 10. Let a be z(j). What is the lowest common multiple of 18 and (-2 + a)*-3 - 1?
18
Calculate the common denominator of 2/(-6)*-35*2 and (1470/108 - 6) + (-8 - -4).
18
Suppose -3*a - 12 = -3*y, 2*a - 4 = -3*y - 12. Suppose y = -2*w - 2*w + 4. What is the smallest common multiple of w and (3/(3/7))/1?
7
Let h = -1625/252 - 163/84. Let p = 389925/33544 + 3/4193. Calculate the common denominator of h and p.
72
Let x = -1052 - -22114/21. What is the common denominator of x and 40/33?
231
Suppose -10*t + 343 = -3*t. Let g = -39 + t. What is the lowest common multiple of g and 24?
120
Suppose -h - 2*q = -2 - 8, 22 = 5*h - 4*q. Let x = 10 - 6. Calculate the lowest common multiple of h and x.
12
Let g = -2739/1360 - -13/170. What is the common denominator of (4104/(-180))/(21 + -1) and g?
400
Let t = -2 - -7. Let o(y) = -4*y + 11 + 3*y + 1. Calculate the smallest common multiple of o(t) and 3.
21
Suppose 17 = -a - 113. What is the common denominator of (a/4 + 2)/10 and 93/52?
260
Suppose -7436 = 5*f - 3*c, 3812 = -3*f - 5*c - 636. Let x = f + 29733/20. Find the common denominator of x and 43/84.
420
Suppose 24 = 4*t - t. Let s be -14*-3*16/6. What is the smallest common multiple of t and (4 + s/(-20))*(-10)/4?
8
Let a = -6132 - -36925/6. Calculate the common denominator of a and -45/166.
498
Let i = 40 - 35. What is the smallest common multiple of 6 + -3 + 2/2 and i?
20
Suppose -4*c - 3*k = -51, 4*c - 5*k - 31 = -4*k. What is the lowest common multiple of c and 9?
9
Suppose 0 = 14*r + 6010 - 19394. What is the smallest common multiple of 40 and r?
9560
Let j = -227638/29 + 546709/348. Let m = j - -6284. What is the common denominator of -53/8 and m?
24
Calculate the common denominator of 55/39 and 3 + (-737)/(-2310) + -3.
2730
Suppose -4*m = 20, -i - 2*i + 5*m + 58 = 0. Suppose 2*n - i - 9 = 0. Calculate the lowest common multiple of n and 7.
70
Suppose 3*v - 91 = 5*p, -p + 0*v - 11 = 3*v. Let w = -6751/876 + 9/73. Find the common denominator of w and p/10 - 2/(-8).
60
Let y(m) = 3*m**2 - 8. Calculate the lowest common multiple of 16 and y(-4).
80
Let c = 8/7057 + -65002171/127026. Let h = c + 509. Calculate the common denominator of -83/36 and h.
36
Let a = -1183 + 4905. Calculate the smallest common multiple of 6 and a.
11166
Let v = 485 + -395. What is the smallest common multiple of v and 45?
90
Let j = 10 + -9. Suppose -3 = -2*p + j. What is the lowest common multiple of (-3 - -9)/(23/(-26) + 1) and p?
52
Let c = 28012/7 + -4010. Let h = 9778/915 + -6/305. Find the common denominator of h and c.
21
Let z be (-2)/(-192)*(-2)/(1 + 1). Let p = -493/96 - z. What is the common denominator of 83/14 and p?
56
Let l(n) = n**3 - 2*n**2 - 4*n + 6. Suppose -51 = -4*p - 11. What is the smallest common multiple of p and l(4)?
110
Let c = 12 + -9. Suppose 2 + 1 = -c*h. What is the common denominator of 13/6 and (-69)/(13/(-2) + h)?
30
Let k = 770 + -767. What is the lowest common multiple of 272 and k?
816
Suppose 4*k - 5*t = 3*k + 35, 4*t - 42 = -2*k. Suppose -3*u = -8*u + 2*x + 98, -u - 5*x = -k. What is the smallest common multiple of u and 8?
40
Suppose 163 - 93 = 7*m. What is the lowest common multiple of m and 14?
70
Let t be ((7 - 8) + 196)*(-12)/(-10). Suppose 6*f + t = -3*f. Calculate the common denominator of 97/62 and f.
62
Suppose -5*i - 102 + 12 = 0. Let n = i + 30. Calculate the lowest common multiple of 6 and n.
12
Let l be 13/20*22 + 0. Let y be (-6)/(-14) - (-1000)/(-112). Let w = y + l. Find the common denominator of w and -39/5.
5
Let r = 185563/52515 + -2/10503. What is the common denominator of r and -41/21?
105
Let i be 111706/24 - (1 - 1). Let l = -4645 + i. Find the common denominator of l and -103/22.
132
Let h = -63/41 - 319/246. What is the common denominator of 59/4 and h?
12
Let b(t) = -7*t - 5. Let h be b(-2). Suppose 0 = -6*k + h*k - 24. Calculate the lowest common multiple of k and 8.
8
Let c(f) be the first derivative of f**3/3 + 6*f**2 + 24*f + 22. Calculate the lowest common multiple of 3 and c(-12).
24
Suppose -4*g = 4*t - 16, -t + 3 + 9 = 5*g. Suppose -t*b + 5*b = 42. Calculate the lowest common multiple of b and 18.
126
Let f(n) = n**3 - n**2 + 4*n - 74. What is the least common multiple of 12 and f(8)?
2436
Let r(d) = -d**3 - 20*d**2 + 21*d + 5. Let j be r(-21). Suppose -3*q + j*h = -89, q + 2*q = -2*h + 82. What is the lowest common multiple of q and 36?
252
Let i(x) = -6 + 15 + 4*x - 8. Let o be i(2). Calculate the lowest common multiple of 2 and 66/o - 6/18.
14
Let w = -21 - -29. Let p = w - 5.