ple of b and 4.
12
Suppose -25 = 4*d + 55. Let u = d + 8. Find the common denominator of -49/16 and (2/18)/(u/(-153)).
48
Find the common denominator of (-148)/12*-1*(-3)/(-10) and (-2)/5*130/8.
10
Let f(o) = -o**3 + 5*o**2 - 4*o + 3. Let y be f(4). Suppose 3*q = 4*s + 78, 3*q - 78 = 2*s + y*s. Calculate the lowest common multiple of 8 and q.
104
Let h = -1 - -6. Suppose -2*u = u + h*g + 445, -5*u - 745 = 5*g. What is the common denominator of -1 + (u/(-16) - 0) and -55/16?
16
Suppose -40 = -328*l + 330*l. Calculate the common denominator of l and 71/414.
414
Let g = 72 - 66. Calculate the smallest common multiple of 70 and g.
210
Let c = -20 + 24. Calculate the least common multiple of 4 and c*1/12*18.
12
What is the common denominator of 5/(100/54) - 1 and (3/4)/(9 - (-786)/(-92))?
70
Let f(j) = 3*j**3 - 64*j**2 + 20*j + 51. What is the least common multiple of f(21) and 12?
60
Let y = -48 + 34. What is the common denominator of y*4/(-32) - 2 and -27/4?
4
Suppose -8*r = -49 - 183. Suppose -1 - r = -3*u. Calculate the smallest common multiple of 32 and u.
160
Let a(p) = p**3 - 4*p**2 - 4*p - 5. Let v be a(4). Let b(y) = -15*y - 4. Let g be b(-4). Find the common denominator of 383/g - 6/v and 61/48.
48
What is the common denominator of 6/(-14) + (-938)/441 and (((-21)/7)/(-6))/((-19)/78)?
171
Suppose 0*a = -3*p - a - 15, 2*a + 14 = -2*p. What is the common denominator of -49/10 and (p - (-453)/18) + -2?
30
Let m(z) = -5*z - 28. Let s be m(-6). Let r(j) = 16*j**2 - 3*j. What is the lowest common multiple of r(s) and 8?
232
What is the common denominator of 2/(-7) - 553/980 and 127/12?
60
Let r = -24313/6 + 4065. Let s = 32619/112 + -2026/7. Calculate the common denominator of r and s.
48
Let q(c) = -32*c**2 + 1. Let y be q(-1). Let p = 53 + y. What is the smallest common multiple of p and 2?
22
Suppose -93*g - 603 = -96*g. What is the least common multiple of g and 12?
804
Let v = 122/13 - 1089/26. Let x be 2/(-4) - 11/2. Calculate the common denominator of v and (4/(-16))/(x/(-148)).
6
Let w = -7351/9 + 820. Calculate the common denominator of w and -61/4.
36
Let q be -3*(-2 + 1) - -11. Suppose 184 = q*u - 10*u. Calculate the lowest common multiple of u and 10.
230
Let o = 365 + -540. Calculate the lowest common multiple of 12 and (o/21 - -7)*(-3)/2.
12
Let k = -4001/14 + 559/2. Suppose -5*x - 33 = i - 6, 2*i = 5*x + 21. Calculate the common denominator of (i - (-51)/30)/(-3) and k.
70
Suppose -p = 3*g + 3 + 16, 4*g - 8 = 2*p. Let j = p + 11. What is the common denominator of 51/198*(j - 10) and -145/24?
264
Suppose 0 = 9*v - 10*v + 2. Let c be 1/v*(3 + -3). Suppose c*a + 21 = a + j, -j - 39 = -2*a. Calculate the lowest common multiple of 2 and a.
20
Let u = 37 + 39. Let t = 123 - u. What is the common denominator of t and 56/9?
9
Calculate the common denominator of (-7585)/2706 + (0 - 1 - -2) and 61/33.
66
Let f = 9191 - 55297/6. Let b = 488393/20 - 24414. Find the common denominator of b and f.
60
Let i = 573 + -533. What is the smallest common multiple of 80 and i?
80
Suppose -17 + 350 = 3*b. Calculate the common denominator of b/33 - (-4)/22 and 145/60*4 - -1.
33
Let r = -19 + 12. Find the common denominator of -17/8 and (-3)/r - 1894/336.
24
Calculate the common denominator of (485/(-10) + -2)/(3 + -37) and -65/6.
204
Let v be -3 - (-3)/((-9)/(-114)). Let z = 40 - v. Calculate the lowest common multiple of z and 5.
5
Calculate the common denominator of (-18)/((-648)/714) - 8/(-6) and (-205)/56 + (-2)/(-7).
24
Let a = 260/7 - 4463/126. Let p be (-6265)/(-84)*1/16. Let f = -5/64 + p. Find the common denominator of a and f.
36
Let k = -2120 + 385869/182. Calculate the common denominator of k and -75/98.
1274
Let m = -7998397/3980 + 1684/2985. Let d = -3481 + 1479. Let x = m - d. Find the common denominator of x and 56/11.
132
Let n = 1408 - 12653/9. Let f be 2/3*(1 - 7). What is the common denominator of n and f/6 - 705/36?
36
Suppose 4*k = 68 - 12. Let u(s) = -s + 18. Let x be u(0). Let g = -8 + x. What is the smallest common multiple of g and k?
70
Let o = 3 + -1. Let l be 0/2 - 200/(-8). Suppose 18*p - l = 13*p. What is the smallest common multiple of p and o?
10
Calculate the common denominator of 3/24*-1 + 7470/215280 and 6/13.
299
Suppose 2*o = 5*n + 78 + 32, 0 = -5*o + 3*n + 256. Calculate the lowest common multiple of 10 and o.
50
Let h = 927/4 + -230. Let s = 13211 + -185039/14. Find the common denominator of s and h.
28
Let q(j) = -j**2 + 11*j + 8. Let t be q(9). Let o = t + -10. Calculate the lowest common multiple of 3 and o.
48
Suppose t = 4*i + 4, -17*i - 4 = 3*t - 13*i. Suppose g - 4*k - 4 = -0*g, -4*g + 2*k + 16 = t. Calculate the smallest common multiple of g and 2.
4
Let k(p) = -20*p**2 - 14*p + 1. Suppose 2*w - 32 = -3*w - 4*c, 4*w - 4*c = 40. Calculate the smallest common multiple of k(0) and w.
8
Let u = 93 - 158. What is the common denominator of 27/10 and (3/(-30))/(6/u)?
60
Let a = -1/177 + -1828/177. Let q(n) = -n - 12. Let p be q(9). Calculate the common denominator of (62/9)/((-14)/p) and a.
3
Let c be (-6 - -4) + (1 - -4). Let x(m) = 0*m**2 + 0*m**2 - m**c + 16. What is the least common multiple of x(0) and 12?
48
Let m(a) = -12*a - 27. Let j be m(-4). Suppose j = n + g, -2*g + 0*g - 126 = -5*n. Calculate the least common multiple of n and 15.
120
Calculate the common denominator of -1/540 and 133/18 + -3 - (-3)/6.
540
Suppose -6*r = -0*r - 180. Suppose -2*i = 3*f - 19, r = -2*f + 7*f + 3*i. What is the smallest common multiple of f and 11?
33
Let z = 7102 + -2306. What is the common denominator of z/726*(-3)/4 and 11/12?
132
Let h(w) = -2*w**3 - w**2 + 2*w + 1. Let q = -38 + 36. Calculate the least common multiple of 9 and h(q).
9
Let p(s) be the third derivative of -s**4/24 + 11*s**3/6 - 15*s**2. Let t be p(8). Find the common denominator of t/6 - (-155)/(-40) and 15/8.
8
Let p(f) = -f**3 - 12*f**2 - 4*f + 32. Let w = 34 + -14. What is the smallest common multiple of w and p(-12)?
80
Let o(l) = -4*l**2 - 9*l - 3. Let u(b) = -5*b**2 - 10*b - 3. Let q(r) = 7*o(r) - 6*u(r). Let x = -2 - -7. What is the least common multiple of q(-2) and x?
55
Let t(x) = 59*x - 232. What is the smallest common multiple of 63 and t(5)?
63
Let z = 1/3332 + -29179/79968. What is the common denominator of -41/264 and z?
1056
Suppose -5*w + r = -1260, 3*w - 7*w - 4*r + 1032 = 0. Let b = -585 + w. Find the common denominator of (-2)/(88/b) - 4 and -7/4.
44
What is the common denominator of 2665/1144 - 15/12 and 21/8?
88
Let z = 19297/35 - 2763/5. Find the common denominator of -10/427 and z.
2135
Suppose 3*g = -g - 1440368. Let a be (g/218988)/(2/10). Let s = a - 3/6083. Find the common denominator of s and 11/10.
90
Let a(o) = -2*o**2 - 5*o - 3. Let i be a(-3). Calculate the common denominator of (-733)/264 + i/33 and (5 + 120/(-25))/((-6)/(-333)).
120
What is the common denominator of (-10)/25 + 188/45 and (7 + 3)/(12/19)?
18
Let g be 2411/(-117) + 1/(-3). Let o = g - -252/13. Find the common denominator of o and (-15)/48*(216/96)/((-2)/8).
144
Let k(b) = -7*b + 298. Calculate the least common multiple of k(-38) and 24.
1128
Let y = 13 - 2. Suppose -3*u = 0, 0*u = -3*v - 4*u - 15. Let q(h) = h**3 + 5*h**2 - 2*h - 3. What is the smallest common multiple of y and q(v)?
77
Let q(o) = -11*o**3 - o**2 + o + 1. Let b be -3 - ((3 - -14) + 3). Let y = b + 22. What is the smallest common multiple of q(y) and 7?
70
Suppose 0 = -7*x + 2*x - 30. Let b = x + 9. Find the common denominator of (-6)/b + 114/52 and -31/6.
78
Let v = 81 + -75. Suppose 27 = 2*s - 3*b, -6*s + 2*s = 5*b - 43. What is the lowest common multiple of v and s?
12
Let c = 128065 + -2127031583/16609. Let o = -2275397/298962 - c. Calculate the common denominator of 13/6 and o.
18
Let v(j) = -24*j - 10. Let r be v(-9). Let b = -132 + r. Suppose 0*y = 3*y + 4*i - 70, 3*y = -5*i + b. What is the lowest common multiple of 22 and y?
198
Let z = -420/79 - -15107/2054. Calculate the common denominator of -31/117 and z.
234
Let d(v) be the second derivative of -v**5/20 - 5*v**4/3 - 17*v**3/6 + 47*v**2/2 + 7*v. What is the lowest common multiple of 6 and d(-19)?
18
Let d = 27 + -16. Suppose 12*r + 688 = 712. Calculate the least common multiple of r and d.
22
Suppose -2*w - 21 = -5*w. 