on denominator of (r - 6)/(20/(-51)) and (3 + 90)/(1 + 27).
140
Let b be 1/((-220)/222 - -1). Let c = -769/42 + 344/21. Find the common denominator of c and (b/6)/(7 - -1).
112
Let z(h) = -h**2 - 13*h + 23. Let y be z(-12). Suppose -9 = x - y. Calculate the least common multiple of 11 and x.
286
Let j = -119355/60088 + 9/2146. Find the common denominator of j and 115/24.
168
Suppose 33*o - 36*o - 3*b = -1836, 2*o - 1224 = -b. Calculate the smallest common multiple of 63 and o.
4284
Let i = -1605286/51 + 31475. What is the common denominator of i and -32/9?
153
Let o = 837 - 7550/9. Let g(r) = 2*r**2 + 14*r - 5. Let j be g(-7). Calculate the common denominator of 4/(-9)*(j + -25) and o.
9
Let g(w) = -w**3 - 6*w**2 - w + 2. Let q = -15 - -14. Let z(i) = -18*i. What is the lowest common multiple of z(q) and g(-6)?
72
Calculate the common denominator of 14565/(-2520) - (-2)/(-21) and 73/20.
40
Let s = -1635 + 795. What is the common denominator of s/189 + 2/(-9) and -23/24?
24
Calculate the least common multiple of 2 + (10/5 + 5 - -27) and 144.
144
Let a = 7854 - 424037/54. Find the common denominator of a and (110/(-25))/11 + 281/90.
54
Let f be (-728)/60 + (-4)/(-30). Find the common denominator of (40/f + 3)/((-2)/131) and -71/12.
12
Let q be 104/(-14) + 40/(-70). Calculate the common denominator of ((-48)/7)/2 + -3 and ((-35)/(-28))/5 - 83/q.
56
Let p = 722 - 710. Calculate the lowest common multiple of 25 and p.
300
Let b(z) = z**2 + 2*z - 13. Let a(i) = 13*i + 6. Let v be a(-1). Calculate the least common multiple of b(v) and 16.
176
Suppose 0 = 3*d - d - 24. Suppose d = w + 2*w. Calculate the common denominator of ((-3)/w)/(63/1288) and -57/7.
21
What is the common denominator of -167/150 and 2 - (4 + (-170)/(-4))?
150
Let a(c) = -37*c**3 + c**2 - 88*c - 90. Let h = 22 + -6. What is the smallest common multiple of h and a(-1)?
144
Let m be 43544/36 + 4 - (0 + 1). Let f = m + -1216. Let l = 3692 - 37017/10. Calculate the common denominator of l and f.
90
Let m be (5/10)/(2/8). What is the smallest common multiple of -6*((-5)/m)/5 and 1?
3
Find the common denominator of ((-2)/312)/(8/(-1648)) and -25/6.
78
Let x = -11 - 1. Let i be (-13)/3 - 4/x. Find the common denominator of 12/11 and (-133)/(-24) + i/(-12).
88
Let m = 612 - 332. Calculate the common denominator of 1/(-5) + 1356/m and -49/10.
70
Find the common denominator of 15*(-117)/1134*9/(-10) and -49/16.
112
Let i(f) = -424*f - 1. Let b be i(1). Suppose -10*t = -12*t + 4. Find the common denominator of (1/5)/(t/b) and -99/2.
2
Suppose x = -x + 22. Let g be x + -3 - -1 - 1. Suppose 7*l = 6*l + g. What is the smallest common multiple of 7 and l?
56
Let z be 5/3 + 4/12. Suppose 0 = 4*n + 5*s - 12 + 96, z*s = 0. Find the common denominator of ((-9)/n)/((-3)/9) and -85/4.
28
Let w = 287 - 263. What is the lowest common multiple of 21 and w?
168
Suppose -5*y - 2*s + 21 = 0, 4*s = 3*y + 3 - 0. Suppose 9 = y*o - 4*o. Find the common denominator of (-18)/44*60/o and -13/23.
253
Let l = 28193/9 + -3139. Let h(y) = y**3 + 3*y**2 + 3*y + 3. Let z be h(-2). Find the common denominator of (1 + -13)/1 + z and l.
9
Let b(a) = 85*a**2 + a. Let y be b(-1). What is the common denominator of -62/9 and (21/(-140))/(1/y)?
45
Suppose 11*b + 9 = 14*b. Let d be 12 - (2 - b/(-3)). Find the common denominator of (-27)/8 - d/(-3) and -83/4.
8
Let x be (-2)/(-8) - 41/174. Let l = 1351/174 - x. What is the common denominator of 2/4 - (-63)/(-5) and l?
20
Suppose -157 = -13*n - 53. What is the least common multiple of 174 and n?
696
Calculate the common denominator of -13/2 and 2 + 5 + 35/(-2).
2
Let o = 9 + -10. Let f(d) = -d - 1. Let j(m) = -17*m + 1. Let b(v) = o*f(v) + j(v). What is the least common multiple of 12 and b(-1)?
36
Suppose -3*t + t - 10 = 0, -2*k + t + 15 = 0. Suppose 0 + k = 2*s - 5*i, 0 = -3*s - i + 16. Calculate the lowest common multiple of (14/8 + -1)*12 and s.
45
Let x be (-28)/35 - (-319)/5. Calculate the common denominator of 43/20 and (-4 - x/(-16))*170.
40
Find the common denominator of 59/396 and (4 - 119/4) + 1/4.
396
Let t be 17384/10*15/21. Let w = t + -1246. Suppose -4*n - 185 = -5*l - 2*n, 4*l - 5*n - 165 = 0. Calculate the common denominator of w and l.
7
Calculate the common denominator of -77/6 and (2/12)/(1705/(-770)).
186
Let m = 12 - 32. Let w = m + 34. What is the lowest common multiple of w and 22?
154
Suppose 0 = -p + 3*p - 40. Let x = -285 + 281. Calculate the least common multiple of 152/p - x/10 and 12.
24
Suppose -20*d + 186 + 234 = 0. Calculate the least common multiple of d and 6.
42
Let q = 11/114111 - -28633424/87523137. Let f = q + -8/177. What is the common denominator of -69/10 and f?
390
Suppose 0 = -46*z + 43*z - 9, -5*a - 3*z = -281. Let u = -33 - -55. Calculate the least common multiple of a and u.
638
Let t be (4 + -5 + 0)/((-3)/15). Suppose 0*b + 2*i = b - t, 4*i = 0. Calculate the lowest common multiple of 63 and b.
315
Let q be ((-2)/(-6))/(6/36). Suppose q*p - 11870 = -1034. Let x = p + -43445/8. Find the common denominator of x and 4/5.
40
Let b be (-3852146)/567072 - 50/(-275). Let s = 1/8592 + b. Find the common denominator of s and -79/6.
18
Let w = -1/49 - -107/441. What is the common denominator of w and (-3 - 260/44) + (2 - -2)?
99
Let a = 14 - 14. Suppose 2*i = -2*j, a = i - 4*j + j. Suppose i = b - 1, -5*b = 3*z + 6 - 65. Calculate the least common multiple of z and 18.
18
Calculate the common denominator of 8/66*3140/(-120) + 3 and -47/81.
891
Let m = -381/935 - 4/85. Suppose -5*x + 4*k = 2*k + 8333, -1664 = x - 3*k. Let j = 16733/10 + x. What is the common denominator of m and j?
110
Suppose 0 = -5*c + c - 2*i - 10204, 4*i - 12742 = 5*c. Let a = c + 50977/20. Calculate the common denominator of a and 37/10.
20
Find the common denominator of 20/(-15)*(-47)/32 - 1 and 46/75.
600
Let o = 1294 + -10371/8. Calculate the common denominator of o and 11/59.
472
Let h be (330/42 - 3) + 1/7. Calculate the common denominator of 59/9 and 355/12*2/h.
18
Suppose 3*k = -0*k - 39. Let b = k + 7. Let w(f) = -3*f + 8. What is the least common multiple of 2 and w(b)?
26
Suppose 0 = 4*d - 7*d - 12. Calculate the smallest common multiple of 12 and (-32)/(-20)*(-30)/d.
12
Suppose 4 = -f + 7. Suppose 72 = f*y - 4*a, 5*a = -3*y + 2*a + 72. What is the smallest common multiple of y and 14?
168
Suppose -7 = -2*k + 23. Let x be 12111/(-60705) - (-3)/k. Let g = x - 335905/8094. Calculate the common denominator of 5/4 and g.
4
Let n = 32700 - 1307889/40. Find the common denominator of n and 29/264.
1320
Let n be (90/40)/(2/(-16)). Let p = -14 - n. Suppose 4*x + 0*x = p. Calculate the least common multiple of x and 9.
9
Let j be (24/(-5))/(5/(-50)). Let u = -26125/16 - -1638. What is the common denominator of (4/j)/(3/(-282)) and u?
48
Let r = 67313/126 + -4864/9. Find the common denominator of -111/20 and r.
140
Let f = -48 + -3. Let t be 2/(-17) - 567/f. Calculate the common denominator of 8*t/(-14) - -3 and -61/10.
70
Suppose -2*d - 16 = -s, -4*s = -5*d + 8 - 60. What is the lowest common multiple of 4 and s?
8
Let g(h) = -2*h**3 + 89*h**2 + 50*h + 41. What is the smallest common multiple of g(45) and 77?
2926
Let v be (-15)/265*41/3. Let n = v + 1827/1060. What is the common denominator of n and 13/30?
60
Let i(v) = v**2 - 9*v + 7. Let d be i(8). Let x = 5 + d. Calculate the common denominator of (-2)/x + -4 + 9 and 19/2.
2
Let a = 279 - 249. What is the common denominator of a and 44/5?
5
Suppose -21*w = -13*w - 72. What is the lowest common multiple of 5 and w?
45
Let x = 9120/7 + -1311. Let w = 42693 + -212472/5. Let k = 1933/10 - w. Calculate the common denominator of x and k.
70
Suppose s = 3*t + 55, -4*t - s = -5*s + 76. Let g = t - -32. Calculate the least common multiple of g and 18.
126
Suppose 635 = 5*h + 5*r, -8 = h - r - 137. Let p = h + -519/4. What is the common denominator of p and (-1)/(-2) - 16/52?
52
Suppose 3*g - 476 = -4*y, -3*y = -g - 0*g + 150. Suppose 0*k + 4*k = g. What is the smallest common multiple of k and 21?
273
Suppose -2*r + 5*a = -0*r + 31, 5*a - 23 = r. What is the common denominator of (7 - 1) + (-15)/(-10) and (-1)/(((-224)/(-180))/r)?
14
Let d(f) = f + 6. Let j be (-1 - 0)/((-7)/(-28)). Let x be d(j). Suppose 0 = -2*l - x + 6. 