 Find the common denominator of 7/22 and ((-75)/140)/(3/o).
154
Suppose -3*m - 5 = 2*m. Let p be m - 0 - (-95247)/1519344. Let o = 2/10551 - p. What is the common denominator of -59/22 and o?
176
Let o be (-1 + 1)*(-14)/(-28). Let g(a) = -a**2 + 3*a + 2. What is the lowest common multiple of g(o) and 40?
40
Suppose -5*g + 4*o + 30 = 0, -426*o + 33 = 4*g - 431*o. What is the smallest common multiple of g and 6*(1 + 2 + 2)?
30
What is the common denominator of 286/7072*28/1 and 49/16?
272
Suppose 26 = 2*c - 2. Let l = 78433/70587 - 1/23529. Find the common denominator of 54/c - 2/7 and l.
63
Let z be -40*((-3)/(-1) + -2). Let h = -69771/10 - -6985. Find the common denominator of h and (13/z - 0)*6.
20
Suppose -245 = 7*t - 1253. What is the least common multiple of t and 40?
720
Let t(h) = -4*h**3 - h. Let k be t(-1). Suppose -6 = -k*u + 14. Let n = 4510 + -49564/11. What is the common denominator of n and u?
11
Let f = 33691/90666 - 4/1971. Find the common denominator of f and -5 - ((-45)/110 + -4).
506
Let k = -25771/2398 - -780/109. Calculate the common denominator of k and -83/18.
198
Suppose -7*j + 51 = -229. Let a = 31 + -19. What is the smallest common multiple of j and a?
120
Let k = 2974756 + -59530497/20. Let l = 1768 + k. Let m = 10/11733 - 465569/187728. Calculate the common denominator of m and l.
240
Let l = -229439/18 + 12739. Find the common denominator of l and (-846)/60 - (-1 - 2).
90
Let j = -903 + 197. Let t = j - -1377/2. Calculate the common denominator of t and 49/6.
6
Let o = 6 - 2. Let a = 11 - 233. Calculate the common denominator of 6/o - a/48 and -13/32.
32
Suppose 4*y = -12, 0 = 2*s - 5*y + 2*y - 49. Suppose h - 24 = -2*h. What is the least common multiple of s and h?
40
What is the lowest common multiple of (18 + 1)/((-23)/(-10 + -13)) and 209?
209
Let x = 348493/160 - 10904/5. Calculate the common denominator of x and -41/28.
224
Let h be ((-7)/(14/(-4)))/(-3 - -4). Suppose -h*p + 3 + 21 = -2*z, 0 = -4*p + z + 57. What is the smallest common multiple of 27 and p?
135
Let d(k) = 2*k - 18. Let s(v) = 2 + 10*v**2 + 5*v**2 - 3*v - 9*v**2 - v**3. Calculate the smallest common multiple of s(5) and d(19).
60
Let j be (14/3)/((-3)/(-54)). Let u = 88 - j. Calculate the smallest common multiple of u and 19.
76
Let u(x) = 265*x + 55. Calculate the least common multiple of u(1) and 12.
960
Let o = 1052 + -7347/7. Suppose -9*b + 2*b + 2044 = 0. Calculate the common denominator of b/(-12) - (1 - 6) and o.
21
Let n be (24 + -13)*1/(2 - 1). Suppose n*a - a = -470. Find the common denominator of -115/28 and a.
28
Let a(w) = 10*w - 2*w**3 - 2 - 4*w**2 + 4*w**3 - 3*w**3. What is the lowest common multiple of 38 and a(-6)?
190
Suppose -z + 3 = 0, 11*q = 7*q - z + 115. Calculate the lowest common multiple of 44 and q.
308
Suppose -3*i = 4*n - i + 1106, 3*i - 266 = n. Find the common denominator of (n/(-80))/11 - -2 and 1*(238/(-12) + 1).
48
Let o = 18/1705 + 148083/23870. Find the common denominator of 61/810 and o.
5670
Suppose -61*d + 45*d = -96. Suppose 44 = 3*n + 2*l - 4*l, -4 = l. Suppose 0 = -y - y + n. What is the lowest common multiple of y and d?
6
Suppose 72 = 4*i + 4*n, -15*i = -20*i + 2*n + 90. What is the least common multiple of i and 20?
180
Let u = 4318 + -38804/9. Let q = 24 - 12. Calculate the common denominator of q and u.
9
Let l(d) = -d**3 + d**2 + 11*d + 9. Let k be l(4). What is the smallest common multiple of (12/k)/((-3)/(-15)) and 96?
96
Let f = 2059 - 10334/5. Find the common denominator of f and (-3)/(-4)*(-10)/1.
10
Suppose -19 = -7*u + 30. Suppose 0 = u*g - 296 + 100. Calculate the lowest common multiple of g and 16.
112
Let x(d) = 3*d + 4. Let z be x(0). Suppose -30 - 14 = -z*l. Calculate the lowest common multiple of l and 4.
44
Let v(o) = 5*o - 10. Let k(t) = 6*t - 8. Let m(y) = -2*k(y) + 3*v(y). What is the smallest common multiple of 6 and m(6)?
12
Let a(l) = -l**2 + 45*l + 448. Suppose -2*x + 0*x = -78. What is the smallest common multiple of a(-8) and x?
312
Suppose 39*v - 226 - 1763 = 0. Let m = -57 + 19. Let o = m + v. Calculate the least common multiple of 11 and o.
143
Let u = -22498 - -4499557/200. Find the common denominator of -31/60 and u.
600
Calculate the common denominator of 9/(-30) - (-171)/(-105) and -89/6.
42
Let p(f) = 62*f - 734. What is the smallest common multiple of 55 and p(12)?
110
Let a(c) = -4*c**2 + 166*c + 162. Let k be a(42). Let m(f) = f - 26. Let d be m(0). Let g = d + k. What is the smallest common multiple of 20 and g?
260
Suppose 200 = 5*g - 4*j, -2*g + 78 + 2 = -j. Calculate the least common multiple of 88 and g.
440
Suppose 2*m = -5*c + 27, 6*c - 10*c - 18 = -2*m. Let b = 2 + -2. Suppose p - 5*r = -8, b = 3*p - 3*r + 4 - 16. What is the smallest common multiple of p and m?
77
Suppose -5*c - 5*h - 35 = 0, h - 17 + 6 = 2*c. Let o(g) = -g**2 - 7*g - 4. What is the lowest common multiple of 8 and o(c)?
8
Let c(w) = w**2 + 12*w + 19. Let z be c(-11). Calculate the common denominator of (-17)/z - (3 + 105/(-28)) and -27/53.
424
Let i = 307 - 179. Let v = i + -120. What is the least common multiple of v and 5?
40
Suppose -5*v + 0*d - 39 = 3*d, 4*v - 5*d + 46 = 0. Let l = v - 15. Calculate the common denominator of 35/18 and (-422)/(-72) + (-18)/l.
18
Let i(j) = -j**2 + 6*j. Let a be i(5). Suppose -y + 0*y + 26 = 4*x, -2*y - a*x = -37. Calculate the smallest common multiple of 154 and y.
462
Let k be 3/4 + 2/8. Let g(z) = -25*z**3 + 2*z**2 - z. Let l be g(k). Let u = l + 28. Calculate the lowest common multiple of 22 and u.
44
Let j be (2840352/7027605 + (-4)/10)*996. Let a = j + -2/12013. Find the common denominator of a and 101/8.
104
Let k = 2055 + -2040. Calculate the smallest common multiple of 74/6 + (-2)/6 and k.
60
Suppose 5*s - 7*s + 28 = 0. Suppose 0 = -2*z + 5*v + 18, -5*z + 42 = 2*v - 3. Calculate the smallest common multiple of s and z.
126
Let k = -5 + 7. Suppose k*r + 2 = 5*u - 0, -4*u + 5*r - 12 = 0. What is the common denominator of 24/(-10) - u/4 and -23/8?
40
Suppose -31*z - 4*z + 3080 = 0. What is the lowest common multiple of 8 and z?
88
Suppose 0 = -55*o + 48*o + 490. What is the lowest common multiple of o and 18?
630
Let z(h) = 2*h**2 - 4*h - 31. What is the lowest common multiple of 5 and z(9)?
95
Suppose 15 = -0*r + 5*r. Let z(u) = u**2 - 2*u + 3. Calculate the least common multiple of z(r) and 4.
12
Suppose -23 = -2*i + 3*c, 5*c + 14 = i + 3*c. Let r be (-45)/(-5)*5/3. Suppose -r = -3*j + 12. What is the lowest common multiple of i and j?
36
Let r(k) = -k**2 + 28*k - 45. What is the lowest common multiple of 16 and r(23)?
560
Suppose 0*q = -4*q - 16. Let p be (-2)/q*(-28912)/(-72). Let t = p - 201. Calculate the common denominator of t and -45/13.
117
Let k(n) = n**3 + 4*n**2 - 8*n - 4. Let r be k(-5). Suppose -r + 3 = -d. Suppose 0*c + c - 6 = 0. What is the smallest common multiple of d and c?
24
Suppose 1 - 3 = -y, 3*c = -2*y + 130. Suppose c*r - 46*r = -24. Calculate the smallest common multiple of r and 1.
6
Let c = -7877/2065 - -6/413. Calculate the common denominator of c and 3/98.
490
Suppose -15*o = 1589 - 2159. What is the smallest common multiple of 48 and o?
912
Let a = -274 - -1109/4. Let m be (-44)/(-2) + (-8)/(16/4). Calculate the common denominator of 4/m - 288/(-110) and a.
44
Calculate the common denominator of -26/51 and ((-2)/(-36))/(-3*(-30)/378).
510
Let x be -1 - 501/27*2. Let g = -38 - x. Calculate the common denominator of 83/8 and g.
72
Let t(r) be the first derivative of -4*r**2 - 14*r - 3. Calculate the least common multiple of t(-4) and 14.
126
Let p(u) = -6*u**3 + u + 2. Let x = -953 + 971. What is the least common multiple of p(-2) and x?
144
Suppose 5 = -4*x + 1. Let f be -3 + -2 - (-3 - -7). Let u = x - f. What is the smallest common multiple of 3 and u?
24
Suppose 4*i + 12 = 0, 2*i + 9 = c - 0*i. Suppose -4*o - 18 = o - c*v, -v + 1 = 0. Calculate the smallest common multiple of 2 and (-37)/(-3) + 1/o.
12
Let g = -2/1043 + 63839/112644. What is the common denominator of 2 - ((-119)/(-20) - -2) and g?
540
Let h = 21009811/25310 - 8301/10. Let u = h + 73435/45558. Find the common denominator of -89/28 and u.
252
Suppose 22 - 16 = k. What is the common denominator of k and -25/6?
6
Let x(b) = -b**2 + 48*b - 17. Ca