and -149/18.
126
Let u = 7 + -9. Find the common denominator of 103/6 and (-309)/(-36)*u - 2.
6
Let m = -601719941/890 - -676085. Let s = 82/89 + m. Calculate the common denominator of -2 - -3*30/8 and s.
20
Let v = -10 - -432. Let q = v - 861/2. Find the common denominator of q and (2/4)/(15*5/(-1005)).
10
Let g = -678113/36 + 18833. What is the common denominator of -127/36 and g?
36
Suppose 18*m + 3*m - 1764 = 0. What is the least common multiple of 7 and m?
84
Suppose 4*v - 5*r + 25 = -44, 4*v - 3*r = -59. Find the common denominator of (-166)/v*31/186 and 43/18.
198
Let x = 264354085/118509 - 3/39503. Let v = x - 133993/60. What is the common denominator of (-2)/(2/49)*(-1)/20 and v?
20
Let v = 83 - -2. Calculate the common denominator of (((-69)/18)/(-23))/((-1)/v) and 3/5.
30
Suppose -4*j + 6 = -d, -1 + 7 = 2*j. Suppose 4*u = -0*f - 2*f + 6, -2*f - d = u. Calculate the least common multiple of u and 5.
20
Suppose -2*d + 50 = 3*d. Suppose -w + d = 2*l, -3*w + 1 = 2*l - 13. What is the least common multiple of w and (-3)/15 - ((-888)/(-20))/(-2)?
22
Let f(k) = 8*k - 9. Let r be f(2). Let p = 31 - r. Calculate the smallest common multiple of 24 and p.
24
Suppose -4*u + 27 = -53. Suppose 4*w = 5*p + 90, -10*w = 4*p - 135 - 57. What is the lowest common multiple of u and w?
20
Let s(h) = h**2 - 18*h - 2. Let a be s(18). Find the common denominator of 37/8 and (-634)/(-456) + ((-4)/(-3))/a.
152
Let l be 2 + (-126)/33 - 2/11. Let y = 21 + l. Calculate the lowest common multiple of y and 4.
76
Let p(l) = 8*l**2 - 8. Let u be p(6). What is the common denominator of 356/72*(-3)/2 and 146/u - (-8)/(-14)?
60
Suppose -447 + 2149 = 37*v. Calculate the least common multiple of v and 42.
966
Let y = 11701/120 - 489/5. Find the common denominator of 85/32 and y.
96
Suppose -6 = -5*p + 4. Suppose 635*f = 629*f + 16 + 2. Calculate the least common multiple of f and p.
6
Calculate the common denominator of 15/28 and (481/(-26))/(-37)*142/(-35).
140
Let c(z) = z**3 + 16*z**2 - 17. Let y be c(-16). What is the common denominator of (4 + y/4)*2 and -12/5?
10
Suppose -5 = -q - 0*q, -o + 51 = 3*q. What is the common denominator of 96/27 + 3*2/o and 83/24?
72
Suppose -2*c - 7 = s - 18, 4*s + c = 37. Suppose -3*k + 2 = 4*l, l = -0*k - 2*k + 8. Calculate the smallest common multiple of k and s.
18
What is the common denominator of 400/90*(-1)/(-3) and (-1)/(-5) + (-970)/(-525)?
189
Let b(t) = -12*t**2 - 6*t + 4. Let z be b(-5). Let i(h) = -h**3 - 3*h**2 + h - 4. Let g be i(-4). Find the common denominator of -41/4 and 4/(-6)*z/g.
12
Let w(r) = -4 + 9*r - 2*r**2 - 9 - 7 + 27 - 2*r**3. Suppose 5*q + 1 = 5*z + 131, 4*q + 2*z - 80 = 0. What is the smallest common multiple of q and w(-3)?
176
Let u = 1392 + -1344. Calculate the lowest common multiple of 312 and u.
624
Suppose -18 = -10*a + 16*a. Calculate the lowest common multiple of 10 and a/(-24) + 3/(120/875).
110
Suppose 160 = 5*g - 4*q, 4*g - q = 170 - 31. Let s = -8665 - -8672. Calculate the least common multiple of s and g.
252
Let p = 599 - 491. What is the lowest common multiple of p and 3?
108
Let j = 22 - 20. Suppose 2*s + 4*i - 11 = 17, -3*i = j*s - 26. Suppose 0 = -2*b + 5*l + 4, -5*b - 3 = 3*l - 13. Calculate the least common multiple of b and s.
10
Let h = 372 - 391. Let u be -1 - (0 - -14*1). Let c = u - h. Calculate the lowest common multiple of c and 15.
60
Let f(t) = -t**2 - t - 140. Let v be f(0). Let m = 1/28905 - -2411961/19270. Let b = v + m. Find the common denominator of 103/6 and b.
6
Suppose 4*u - s - 61 = 0, 3*s + 41 + 14 = 4*u. Let f be (2 + 0)/2*31. Let p = f - 21. What is the least common multiple of p and u?
80
Calculate the common denominator of -127/306 and 362/(-55)*5/4 + 4.
3366
What is the common denominator of 189/(-24) - (0 + -1) and 43/24?
24
Let j = -70 + 170. What is the least common multiple of 200 and j?
200
Let u be 6/(-45) + (-120236)/(-45). Suppose 4*t - 6*t + 5336 = 0. Let d = t - u. What is the common denominator of -41/3 and d?
9
Let c = -5/28 + 7/20. Let i = 577/105 + c. Calculate the common denominator of -5/3 and i.
3
Let j(h) = h**2 + 19*h + 28. Let u(v) = -2*v**2 - 38*v - 57. Let p(x) = -5*j(x) - 2*u(x). Calculate the smallest common multiple of p(-14) and 36.
396
Suppose 0 = -3*t + 5*t + 6, 5*j + 4*t = -1602. Let v be (92/(-36))/(2/j). Let i = v + -412. Calculate the common denominator of i and 47/8.
24
Let y = 83 - 38. Suppose -y + 12 = -q. Let f = -13 + q. What is the smallest common multiple of 22 and f?
220
Suppose 0*d + 24 = 3*d. Let j(k) = 43*k + 173. What is the lowest common multiple of j(-4) and d?
8
Suppose 5 = -17*c + 12*c, 5*j = -5*c + 295. Calculate the smallest common multiple of 48 and j.
240
Let j(w) = 2*w**2 - 5*w + 4. Let d be j(2). Suppose 0*u = -d*u + 6. Suppose 5*g = 0, -v - 3*v + u*g + 4 = 0. Calculate the least common multiple of 10 and v.
10
Let y = 188 + -128. Let j = 1042 + -1028. Calculate the lowest common multiple of j and y.
420
Calculate the common denominator of -6/31 and (-445)/(-24)*(-399)/1330.
496
Suppose 7 = 3*w - a + 6*a, -3*a = 3. Let y = 16 - w. What is the common denominator of 3/y + 230/8 and -17/3?
3
Let h = -845827/38 - -22261. Calculate the common denominator of -29/20 and h.
380
What is the common denominator of 134/6 - 1/(-1) and ((-128)/(-180))/((-47)/6 + (-53 - -61))?
15
Let x = -19302/11 - -1759. What is the common denominator of x and -21/44?
44
Let x = 1588 + -3019. Let w = -39582505/22 - -1797774. Let n = w - x. Calculate the common denominator of n and 67/26.
286
Let u = -628 - -703. What is the lowest common multiple of 33 and u?
825
Suppose 0 = -4*k - 189 - 599. Calculate the common denominator of k/72*1 + (-2)/(-16) and 11/30.
90
Let n(a) = -2*a**3 + 24*a**2 - 54*a - 14. What is the lowest common multiple of n(8) and 3?
66
Let p be (-10)/55 - 36730/55. Calculate the least common multiple of 7 and p/(-60) + 8/(-60).
77
Suppose 0 = 2*n - 5*u - 7 - 205, 0 = 3*n - 2*u - 296. What is the lowest common multiple of n and 112?
672
Let w = 13 + -8. Suppose 165 = w*s + 30. Find the common denominator of 57/20 and (9/(-6))/(s/(-255)).
60
Suppose -r - 5*l - 17 = 0, 0 = 3*r - 2*l + 5*l + 15. Calculate the common denominator of (5/(-160)*67)/2 and (66/8)/(3/r).
64
Let b = 787/63 + -134/21. Calculate the common denominator of b and (7 - (-1452)/(-48)) + 1.
36
Let c = -499 - -506. Let p(f) = -f + 4. Calculate the lowest common multiple of p(-4) and c.
56
Find the common denominator of 39/44 and 11 - ((-53)/(-8) + 10).
88
Let y(g) = g + 10. Let n be y(-7). Let u = 2406 + -38531/16. Calculate the common denominator of u and (242/3)/(n - -9).
144
Find the common denominator of -23/120 and ((-292)/48)/((-30)/(-24)).
120
Suppose 0 = -5*h + 2*h + 36. Suppose -7*b + h*b - 50 = 0. What is the lowest common multiple of b and 64?
320
Let n = 11 + -12. Let k(f) = 146*f**2 - f. Let d be k(n). Calculate the common denominator of (5/((-30)/d))/3 and -10/3.
6
Let i = 8 + -38. Let w be ((-27)/(-220))/(i/(-68620)). Let l = w - 2990/11. Find the common denominator of l and 53/10.
10
What is the common denominator of ((-18654)/(-3612) + -5)*56/16 and 17/7?
1204
Let b = 9 + -15. Let z(t) be the first derivative of -t**3/3 - 7*t**2/2 + 4*t - 28. What is the lowest common multiple of 1 and z(b)?
10
Let b(w) be the first derivative of 2*w**3/3 + w**2 + 6*w + 3. Let y(j) be the first derivative of b(j). What is the lowest common multiple of y(5) and 22?
22
Let g = -3949611691/2164 + 1825144. What is the common denominator of -99/14 and g?
15148
Let n be (-2017*1)/((-24340)/61). Let t = 6/1217 - n. What is the common denominator of t and 3/(9/65) - 35/70?
60
Suppose -1130 = -3*i + 5*c, 4*i + i - 1834 = -4*c. Suppose z + 4*z + o = -i, -3*z - o - 220 = 0. Calculate the common denominator of -29/10 and (6/8)/(z/530).
10
Suppose -2*n - n - 30 = -3*q, 3*n = 5*q - 46. Calculate the lowest common multiple of q*6/((-72)/(-15)) and 5.
10
Suppose 29*l - 1090 + 771 = 0. Let i = -5 - -10. What is the smallest common multiple of l and i?
55
Let z(n) be the first derivative of n**2/2 + 2*n - 3. Let q be z(-4). What is the common denominator of (-75)/(-12) + q/4 and 13/22?
44
Let z be (3/(-3))/((-2863)/14). Let w = -5333/3272 + z. Find the common denominato