
90
Let k = 202 + -197. Calculate the smallest common multiple of 50 and k.
50
Let r = -14926 + 1358246/91. Find the common denominator of -32/13 and r.
91
Find the common denominator of (22/72)/(35/(-147)) and 95/4.
60
Let i = -15 - 3. Let q = i - -27. Suppose -2*a + 49 = 3*b, -22 = -b - 4*a - q. What is the least common multiple of 7 and b?
119
Suppose -3*l + 14 = -3*h + l, -5*h - 4 = 3*l. Let n be 2*(-2 + 55/h). Calculate the common denominator of n/4 - (-9)/3 and 65/8.
8
Let n = -21751/16 - -1360. What is the common denominator of n and -143/60?
240
Calculate the least common multiple of 4/3 + (-260)/(-30) and 145.
290
Let m(y) = -6*y**3 + 2*y + 1. Suppose 7*o - 2*o + 5 = 0. What is the lowest common multiple of m(o) and 63/(-21) + 6/1?
15
Calculate the smallest common multiple of 4/(-24) + (-2)/(96/(-16760)) and 9.
3141
Let s(y) = 2*y + 10*y + 2*y - 8 - 2*y**3. Let h be s(6). Find the common denominator of -47/14 and 1 + 0 - h/(-8).
14
Suppose 3*i - 85*w + 90*w = 465, -3*i + 3*w = -441. What is the least common multiple of i and 75?
150
Let n(a) = a**3 - 16*a**2 - 15*a - 14. Let x(j) = -3*j + 8. What is the smallest common multiple of x(-4) and n(17)?
20
Let p be -6*(-94595)/100 - -3. Suppose 0 = -x + f + f + 5674, -28395 = -5*x + 5*f. Let t = x - p. What is the common denominator of -59/10 and t?
10
Let h be ((-4)/2 - 2) + 59. Let y = -35 + h. Let j(u) = u**3 + 5*u**2 + 3*u + 6. Calculate the lowest common multiple of y and j(-4).
20
Let w be 32/14 + (-4)/14. Calculate the common denominator of 90/8 + 6/w and (2*(-28)/88)/1.
44
Suppose -c + 8 = h - 18, 4*h - 26 = -c. What is the smallest common multiple of c and 1?
26
Suppose -96 = -8*r + 5*r. Suppose 7*l = 3*l + r. Calculate the lowest common multiple of l and 18.
72
Let x = 4801/4 + -1210. Let d = 13/5623 + -48797/13810088. Let z = -138773/7368 - d. Find the common denominator of x and z.
12
Suppose i = -4*i + 25. Suppose h - i = -2. Suppose h*z - 2 = 13. Calculate the smallest common multiple of 9 and z.
45
Let t = 132223/20 + -6606. Suppose 2*d - 4*r = 20, -17 = d - 2*d - 5*r. Calculate the common denominator of ((-1)/d)/(20/1455) and t.
80
Let n = -3 + -7. Suppose c - 14 = -0*c. What is the least common multiple of c and n/35*(-14)/2?
14
Let s = 12119/4620 + -127/60. Calculate the common denominator of 37/17 and s.
1309
Let z(x) = -x**2 + 2*x - 3. Let s be z(3). Let o = 57 - 85. Calculate the common denominator of ((-190)/s)/(o/6) and 65/14.
14
Let u(l) = -6*l + 2. Let z = -53 - -52. What is the smallest common multiple of (-20)/z + 1 + -2 + 3 and u(-3)?
220
Let c = 1 - 2. What is the common denominator of c + 49/16 + -2 and 2/(-5) + (-1893)/180?
48
Let a(j) = j**2 + 5*j - 8. Suppose -1 + 10 = -3*v + 4*t, 2*t = 2*v + 8. Calculate the lowest common multiple of 20 and a(v).
60
Let h = 2005/141 + -26/47. Find the common denominator of (0 + 22/36)*-33 and h.
6
Suppose -2*h + d + 43 = -69, -h - d = -50. What is the smallest common multiple of 72 and h?
216
Suppose 2*h - x = -0*x + 11, 3*x = 4*h - 27. Let n be 3 - (-1 + 39/(-3)). Let t = 29 - n. Calculate the lowest common multiple of h and t.
12
Suppose -2*i + 3*i = -d - 17897, -5*d - i - 89505 = 0. Let c = d - -250515/14. Calculate the common denominator of 69/20 and c.
140
Let f = -43/84 - 17/140. Calculate the common denominator of 4/35 and f.
210
Let m = -372907/27 + 13809. Find the common denominator of 101/30 and m.
270
Let h = 67723/78 - 868. Calculate the common denominator of (3/(-12)*-1)/3 and h.
156
Let w = 229/6 + -38. Suppose 0 = 2*g - g - 5. Let s = -3 + g. What is the common denominator of s and w?
6
Let j = -73347/20 + 3666. Calculate the common denominator of j and 4/(-5) + (-5697)/(-990) - 1.
220
Suppose 30 = 5*x - 5*o, x - 2*x = o - 14. Let j(g) = g + 7. What is the least common multiple of x and j(-3)?
20
Let h be 38/(-8) + -2*6/(-16). Find the common denominator of 1 - (2/h + 476/120) and 29/5.
15
Let b(i) = -11*i**2 - i - 2. Let j be b(-1). Let m = j - -14. What is the common denominator of 55/6 and (m - 170/(-12)) + -1?
6
Let b = 3 + 15. Let i = 649 + -638. What is the smallest common multiple of b and i?
198
Let a = -9/2 + -37/12. What is the common denominator of a and ((-3)/(-8))/((-6)/(-268))?
12
Let i(x) = 4*x - 4. Suppose -5 = -3*v - 4*o + 11, 3*v = 4*o + 8. Let j be i(v). What is the common denominator of 43/12 and (1 - 151/j) + -1?
12
Calculate the common denominator of (-364)/(-102)*(0 - 4)/(-16) and 83/4.
204
Suppose -2*i - 16 = -4*i. Let j(t) = -t**2 + 8*t - 1. Let r be j(7). Suppose -2*b = l - r, 2*l + l - 3*b = 27. What is the lowest common multiple of l and i?
8
Find the common denominator of (69/(-6))/(4/(-6)) and 13/(-780)*-93 + 3.
20
Suppose 5*b - 30 = 5*o, -20 = -5*b - 4*o + 10. What is the smallest common multiple of b and 184?
552
Suppose -1414*q - 24 = -1418*q. Calculate the smallest common multiple of 36 and q.
36
Let l(v) = v**2 - 6*v. Let f be l(5). Find the common denominator of 2145/(-50) + 3/f and (-2)/(360/422) + 27/(-45).
18
Suppose -12 = 5*z - 22. Suppose -3*l - 6 = 2*y, 4*y + 0*y - z*l - 20 = 0. What is the lowest common multiple of 11 and y?
33
Let u(l) = 19*l**2 + 1. Let c be u(4). Find the common denominator of 29/20 and (c/50)/((-72)/15).
240
Let a = -478448 - -2882099/6. Let s = a + -1887. Calculate the common denominator of (1/(-9))/(1/73) and s.
18
Let v = 20 + -17. Suppose -4*g = -3*b + 100, -190 + 38 = -5*b + v*g. What is the smallest common multiple of b and 8?
56
Let v = 16109/16 - 1010. Let x = -753/91 - -1179/7. Let d = x - 46389/286. Find the common denominator of v and d.
176
What is the least common multiple of (-5 + (-13)/(-2))/(2/44) and 27?
297
What is the common denominator of -59/8 and (-34)/289 + 995/(-646)?
152
Let f(h) = 11*h - 102. What is the smallest common multiple of f(18) and 32?
96
Let x = 808 - 805. Let w be (-12)/(-9)*(-6)/(-2). Calculate the least common multiple of x and 2/w*(42 + -4).
57
Let c be 14 + (-2 - 2) + -5. What is the common denominator of (-3)/(-15) + c/600*-1214 and 3/158?
948
Let k = -356 - -362. What is the lowest common multiple of 262 and k?
786
Let p(l) = -l**3 - 3*l**2 + 4*l + 6. Suppose -90*x + 214 = 34. Calculate the least common multiple of x and p(-4).
6
Let l(c) = 11*c - 3. Let b be l(3). What is the common denominator of -49/22 and ((-7)/b*2)/(4/(-70))?
66
Find the common denominator of (2/(24/(-33)))/1 and (-1 - -4)/(-1) - (-52921)/13018.
92
Let y be -1*(-1 + -2) + -2. Let w(u) = 5*u - u**2 + 7*u - 3 - 4*u - y. Calculate the least common multiple of 7 and w(7).
21
Let n be (-258123)/162*(-1)/((-44)/12). Let x = -3940/9 - n. Calculate the common denominator of 57/16 and x.
176
Let f = -46 + 64. Suppose -5*a = 3*t - 7*a - 38, 0 = 3*t + 5*a - 31. What is the lowest common multiple of t and f?
36
Let d = 300 + 407. Calculate the smallest common multiple of 11 and d.
7777
Let c(h) = h**3 - 32*h**2 - 33*h + 10. Let r be (5 + -5)/((-4)/2). Suppose -2*y + 2 = -r. What is the lowest common multiple of y and c(33)?
10
Suppose -4340 = -4*q - 4*o, 3*o = -2*q + 6*o + 2175. What is the lowest common multiple of 10 and q?
5430
Find the common denominator of 429/42 - (1 - -1) and 403/(-39)*6/4.
14
Let k be 2*(-2 - 122434/44). Let i = -5573 - k. Let f = -6957/4 + 1749. Calculate the common denominator of f and i.
44
Let y(a) = -5918*a - 5. Let j be y(2). Let h = -236877/20 - j. What is the common denominator of 115/6 and h?
60
Suppose 10*q - 36 = q. What is the lowest common multiple of 15 and q*18*(-15)/(-40)?
135
Let c = 18647/12897 - 2/1433. Find the common denominator of 101/6 and c.
18
Let p = -49171/748510 - 11/2890. Let u = p - 16673/2331. Calculate the common denominator of (-3)/(-10)*26/6 and u.
90
Let x = 26 + -17. Suppose -5*b - 3 = -2*j - x, -4*j + 6 = -b. Calculate the lowest common multiple of j and 8.
8
Let q(a) = 3*a**2 + 2*a + 2. Let z(v) = -5*v**2 - 3*v - 3. Let j(u) = -8*q(u) - 5*z(u). Let r = 41 - 44. What is the smallest common multiple of j(r) and 10?
110
Let o = 264 + -164. Let u be 5 + (-6)/(-2)*-1. Suppose 4*p - v - v = -o, v - u = 0. Calculate the common denominator of -41/6 and p.
6
Suppose 3*g + 70 = 2*a - 68, g + 266 = 4*a. What is the least common multiple of a and 30?
330
Let c(a) = -6*a + 4. Let f be c(-6