 and f?
3
Suppose -7 = -2*p - 2*s + 5, 2*p = -5*s + 21. Suppose 5*m = 3*g - 22, 5*m - 3 = -3*g - 1. What is the lowest common multiple of p and g?
12
Suppose 37*c - 33*c = -5*r + 29, 2*r = 3*c + 30. Calculate the smallest common multiple of 112 and r.
1008
Let q be 24/(-4) + 3 - 17. What is the common denominator of (164/(-14))/(q/(-21)) and 37/2?
10
What is the common denominator of (16/20 + 2)/(3/9) and (8 + -69)/(-1 + 11)?
10
Suppose 2*x + o = 4, -6*x = -5*x + 5*o - 2. Calculate the lowest common multiple of 1 and x.
2
Let t = -21474/68215 + 1/1949. Calculate the common denominator of 363/225 + 24/(-180) and t.
175
Let z(l) = -35*l**2 - 9*l + 5. Let j be z(6). Let w be (-2)/(-3) + j/33. Let x = -19 - w. What is the least common multiple of x and 8?
40
Let p(q) = q**3 + 4*q**2 - 6*q - 12. Let v be p(-5). Let b(h) = -h**3 - 7*h**2 + 6. Calculate the smallest common multiple of 4 and b(v).
12
Let x = 832 - 799. What is the least common multiple of 15 and x?
165
Let x = 1/2820 + -3002/16215. Calculate the common denominator of -7/44 and x.
1012
Let k(b) = 96*b + 4. Let g be k(-5). Let i be g/3 - (1 + 0). Let y = 3595/24 + i. Find the common denominator of 17/8 and y.
8
Let d be (-10)/(3 + 2) + 2. Suppose -16 = -4*b, -4*l - l - 2*b + 88 = d. Let j(g) = -g + 7. What is the least common multiple of j(5) and l?
16
Let w = -75147/28 + 2685. What is the common denominator of w and -103/154?
308
Let f = -725/2 - -353. Find the common denominator of 19*(27/(-24) - -1) and f.
8
What is the common denominator of -151/54 and 121/468 + 60/(-180)?
1404
Let t be (15 + -20)*(-67)/5. Let j = 111 - t. What is the lowest common multiple of j and 16?
176
What is the lowest common multiple of 360 and (-970)/(-40) + -12 + 2/(-8)?
360
Suppose y + 2 = k, -2*k + 3*y = -0*k - 8. What is the common denominator of 101/18 and (137/3 - k - -1)/(-24)?
36
Let h(z) = 14*z + 2. Let n be h(4). Suppose -96 = -5*k - 3*c - 0*c, -3*k - 2*c = -n. What is the lowest common multiple of 12 and k?
36
Suppose 6*b - 40 = 2*b. What is the lowest common multiple of 3 and b + -7 - (-5 + 0)?
24
Let p(o) be the first derivative of 9 + 13*o + 1/4*o**4 + 0*o**2 + 0*o**3. What is the least common multiple of 6 and p(0)?
78
Let j = -31453/12 + 2616. Find the common denominator of ((-3)/(-10))/(2 + 1904/(-945)) and j.
12
Find the common denominator of (23 + -1)/((-32)/18) and 28*10/(-90) + (-10)/(-12).
72
Let y be ((-3)/(6 + 0))/((-1)/6). Let x(c) = -2*c**2 + 6*c + 2. What is the lowest common multiple of x(y) and 2?
2
Let i = 2295/148 + -1/148. Let q = 107253/22 - 4874. What is the common denominator of i and q?
22
Let k = 1124616777/28 + -40159333. Let x = 5549 - k. Calculate the common denominator of x and -85/22.
308
Let y = 12347441/112 + -110246. Calculate the common denominator of -31/56 and y.
112
Let h be -6 + (5 - 1148344/96). Let f be 23907/(-2) - 2/(-4). Let w = h - f. What is the common denominator of w and -17/22?
132
Suppose 11*z = 5*z - 3054. Let m = 2 - 1. What is the common denominator of z/(-30) + m/5 and -81/20?
60
Let r = 393/50 + -8866/1225. Find the common denominator of -57/10 and r.
490
Let i = 11 + -5. Suppose i = 4*k - 14. Suppose 0*p - k*p = -20. What is the lowest common multiple of p and 27?
108
Suppose 5*n - 1 = 3*y, -10*n + 5*n = -25. What is the least common multiple of y and (-3 - -1)/((-1)/2)?
8
Let r be -2 + 1 + -3 + 2. Calculate the lowest common multiple of ((-5)/30*-3)/(r/(-96)) and 21.
168
Suppose 5*j + 16 = 6*j + 2*m, -4*j + 24 = -2*m. Let h = 16 + 2. Calculate the smallest common multiple of j and h.
72
Let g(k) = k**3 - 2*k**2 + 11*k - 48. Let w = 18 + 4. What is the lowest common multiple of g(4) and w?
308
Let r be (-42 - -1)/(3*2/(-6)). Suppose 4*n - 191 = r. What is the smallest common multiple of n and 22?
638
Let x(d) be the second derivative of d**4/12 + 7*d**3/3 - 11*d**2/2 - 16*d. What is the lowest common multiple of x(-15) and 35?
140
Suppose 0 = -4*r + 58 - 10. Suppose 5*d - 9*d + 18 = -5*y, 0 = -5*d - 2*y + 72. What is the smallest common multiple of r and d?
12
Let u = -3531/7 - -504. Calculate the common denominator of u and -29/335.
2345
Let a(j) = -13*j + 646. Calculate the lowest common multiple of 186 and a(49).
558
Find the common denominator of -71/60 and (109/30 - -1) + -70 + 69.
60
What is the common denominator of -17/342 and (1*1/3)/((-236)/(-177))?
684
Let u(z) = -3*z**2 - 57*z + 66. Calculate the smallest common multiple of 726 and u(-20).
726
Suppose 0 = 22*k - 23*k + 30. Calculate the smallest common multiple of k and 10.
30
Let d be (-248)/(-24) + (-1)/3. Find the common denominator of 97/8 and 107/(-6) + d/(-5)*2.
24
Let l = 2 + -2. Suppose 2*i + i - 189 = l. What is the common denominator of -8/9 and (-458)/i - (-2)/(-7)?
9
Let s be (-2)/4*(-52)/1. Let h = 12 - s. Calculate the lowest common multiple of 4/h*252/(-18) and 2.
4
Let s = 236 - 174. Calculate the lowest common multiple of s and 2.
62
Let w = 242 + -226. What is the lowest common multiple of w and 36?
144
Let k(z) = -z + 5. Let a be k(2). Suppose 0 = 3*n - 4*n + g + 18, 49 = a*n + 2*g. Find the common denominator of 76/9 and n.
9
Suppose 0 = 93*w - 104*w + 33. Calculate the lowest common multiple of w and 7.
21
Suppose 35 = a + 5. What is the smallest common multiple of (567/945)/(1 + 78/(-80)) and a?
120
Find the common denominator of -89/36 and (230/(-108))/((-19)/57).
36
Calculate the common denominator of -36/5 and (-2)/(-2) + (-2619)/405.
15
Let t = 14/8419 + -447467/757710. Calculate the common denominator of 40 and t.
90
Let s = -13527/10 - -1363. Calculate the common denominator of s and ((-128)/30)/(6/10).
90
What is the smallest common multiple of 27 and 7 + (3 - 95)*-1?
297
Let b(s) = 10*s - 1. Let h be b(1). Let y(u) = -22*u**3 + u**2 + 2*u + 4. Let w be y(3). Calculate the common denominator of -39/2 and (h/15)/(70/w).
14
Let k = -2347 + 4371. Let r = k + -12047/6. Calculate the common denominator of 170/(-4) + (3 - -1) and r.
6
Let y be 4/(4 + 35/(-10)). Suppose 106 = 6*t - y*t. Calculate the common denominator of (-12)/18 + t/(-12) and 83/18.
36
Let f = -174017/166668 + -1/41667. Find the common denominator of f and -53/48.
816
Let n = 116/55 + -16/5. What is the common denominator of 7/15 and n?
165
Let y(i) = i**2 + 4*i + 10. Suppose -45 = -n - 47. What is the smallest common multiple of 1 and y(n)?
6
Suppose -2*x - 9 + 7 = 0. Let f(c) = -c**2. Let t(i) = -4*i**2 - 6*i + 4. Let l(r) = x*t(r) + 5*f(r). Calculate the lowest common multiple of 8 and l(4).
8
Let a(h) = 2*h**2 - 3*h + 5. Let z be a(-4). Suppose -4*m + 973 = z. What is the common denominator of -68/3 and m/18 + (-2 - -1)?
6
Suppose -4*s - 14 = -46. Let x(d) = -d**2 + 3. Calculate the smallest common multiple of x(0) and s.
24
Calculate the common denominator of (132/(-16))/((-162)/32) and (-12)/(-1 + -2) + (-637)/117.
27
Suppose -2*w - 3*y = -8, -2*w + 5 + 3 = -y. Suppose -f = 8 + w. Calculate the common denominator of (-119)/60 - f/36 and 89/8.
40
Suppose -47 = 4*m - 3*o, o + 22 = -2*m - 9. Let v be -3*(m - 3) - 2. Find the common denominator of (-63)/v + (0 - -3) and -64/3.
21
Let l = 48 + 5. Calculate the lowest common multiple of l and 4.
212
Let y(z) = 3*z + 4. Let c be y(-4). Find the common denominator of -4 - (80/(-28))/(6/(-9)) and 14/10 - c/(-4).
35
Suppose -35*z = 16*z - 1734. Calculate the least common multiple of 272 and z.
272
Let d = 281 - -18. What is the lowest common multiple of 6 and d?
1794
Let g(n) = n**3 + 3*n**2 + n + 7. Let x be g(-3). Calculate the common denominator of x/(-12) - (-95)/6 and -50.
2
Let w = 187569/77 + -17048/7. Find the common denominator of -41/21 and w.
231
Let h(x) = 2. Let r(j) = -j - 5. Let l(w) = 4*h(w) + r(w). Calculate the smallest common multiple of l(-18) and 12.
84
Let t(r) = 11*r**2 + 18*r - 98. Calculate the least common multiple of 18 and t(6).
3654
Let m = -63 - -93. What is the lowest common multiple of 135 and m?
270
Suppose 7*b + 2*x = 3*b + 82, -3*x = 4*b - 77. Let q = -15 + b. Let j(w) = -5*w - 102. What is the least common multiple of j(-22) and q?
8
Let f = -108407/14 - -7738. Let w = -2290915/78 + 29370. Find the common denominator of w and f.
546
Calculate the common denominator of 125/96 and 20165/1776 - 18/2.
96
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