.
70
What is the common denominator of 278*(1 - 33/36) and -13/9?
18
Suppose 23*b - 1027 = 77. Calculate the lowest common multiple of 48 and b.
48
Let l = 1375/16 - 90. What is the common denominator of 20/(-22) - 3/2 and l?
176
Suppose 3*d + 9 = 93. Let z = -23 + d. Let n = -5 + 11. What is the least common multiple of n and z?
30
Let o(d) = d**2 - 4*d - 2. Suppose 10*y = 6*y + 20. Let l be o(y). What is the smallest common multiple of 6 and 17/l + 1/3?
6
Let z = -7 + 1. Let s(h) = -5*h - 8. Let i(t) = -t. Let r(o) = z*i(o) + s(o). Calculate the lowest common multiple of 7 and r(9).
7
Let v = -61 - -107. Calculate the least common multiple of 1 and v.
46
Suppose 10*a = 15*a - 420. Calculate the smallest common multiple of a and 60.
420
Suppose 3*m + n = -3*n + 147, m - n - 56 = 0. Let z(f) = -19*f + 7. Let v be z(2). Let g = v + m. What is the smallest common multiple of g and 14?
154
Suppose -3*l + 2 = -2*l. Suppose -l*o + 6*o + 32 = 0. Let n = o - -12. Calculate the lowest common multiple of n and 9.
36
Let u = 87245/80427 - 10/1577. What is the common denominator of 41/15 and u?
255
Let r be (-4)/(-10) - (-619)/36. Let g be (-38)/36*17/((-425)/20). Let k = g - r. What is the common denominator of -5/7 and k?
28
Let z = 634 - 435. What is the least common multiple of 10 and z?
1990
Suppose 2*s - 5*u = -0*s + 21, 2*s = 4*u + 24. What is the least common multiple of 78 and s?
234
Suppose 2*k + 27 = -z, -93 + 24 = 5*k + z. Let x = k + 16. What is the least common multiple of x and 2/7*(0 - -49)?
14
Let y = -13 + 27. Let c(u) = 2*u**3 + 11*u**2 - 5*u + 14. What is the least common multiple of c(-6) and y?
56
Let x(w) = -3*w**2 + 65*w + 30. Let c be x(22). Let n = 4047/10 + -405. Calculate the common denominator of n and ((-22)/(-4))/(12/c).
30
Let a = -1693/220 + 61/11. Find the common denominator of -101/20 and a.
20
Let z = -1492/711 + -1/79. Let s = z + 2. What is the common denominator of 97/8 and s?
72
Let t(j) = 3*j - 15. What is the least common multiple of t(16) and 121?
363
Let c = -1164 - 130. Let o = 10385/8 + c. What is the common denominator of o and -13/2?
8
Suppose -2*j + 59 = -33. Suppose -3*r - 4*s + 1832 = -3*s, -5*r + 3046 = -2*s. What is the common denominator of (r/80)/((-3)/2) and j?
12
Let y(l) = -l**3 + 9*l**2 + 7*l - 4. Let a be y(10). Let t = -38 - a. Let g(r) = -6*r - 14. What is the least common multiple of g(t) and 5?
10
Suppose 0 = -2*j + 82 + 82. Calculate the least common multiple of j and 18.
738
Suppose -2*x - 17 = -41. What is the least common multiple of x and 10?
60
Let v be -82*(59/(-6) + 1). Let j = v + -34537/48. What is the common denominator of 957/(-660) + (-3 - (-34)/10) and j?
80
Let j(m) = -2*m**3 - 21*m**2 + 9*m - 27. Let d be j(-11). Let t(w) = 3*w**2 - 3*w - 21. Calculate the smallest common multiple of 18 and t(d).
414
Let u(n) = -n + 17. Let j be (-21)/(-63) - 20/(-3). Calculate the least common multiple of u(j) and 17.
170
Suppose 43 - 8 = -5*s. Let p = -2 - s. Suppose -p*x = -t + 3*t - 11, -2*x + t + 8 = 0. Calculate the smallest common multiple of 5 and x.
15
Let s = 11 - 2. Let p = 25 - s. Suppose -4*r + 92 = 2*t, -5*r = -0*t + 2*t - 114. What is the least common multiple of p and r?
176
Find the common denominator of (-12054)/10920 - (-2)/8 and -119/30.
390
Let u(w) = -55*w**3 + 3*w + 3. Let m be u(-2). Let t = -94 - m. Let n = -1568/3 - t. Calculate the common denominator of n and 95/4.
12
Let i be (-41)/((-2)/12*(4 - 2)). Let a = -119 + i. Calculate the least common multiple of a and 80.
80
Let t be (-2 + (-10)/(-4))*0. Suppose -24 = -3*j - t*j. Calculate the least common multiple of 1 and j.
8
Let n be 4/6 + (-31)/(-3). Let m = 23 - n. Suppose w + 2*w = 36. Calculate the lowest common multiple of w and m.
12
Let p = -7/179 - -11185/6802. What is the common denominator of -18/11 and p?
418
Let y = 128019/4 - 32255. Let z = y - -61217/244. Find the common denominator of -73/2 and z.
122
Let f(c) = -3*c + 50. Let x = -113 - -126. What is the smallest common multiple of 7 and f(x)?
77
Let s(u) = -2*u + 4 + 5*u - 4. Let b be s(1). Suppose 2*f - b = 3*y, -3*f - 3*y + 0*y = -12. What is the smallest common multiple of f and 19?
57
Let w = 2/95825 + -261218964/670775. Let s = w + 385. Let y = 45692/11 - 4157. Find the common denominator of s and y.
77
Suppose 23 = 3*c + 9*l - 7*l, 5*c - 34 = l. Suppose -3*y + 3 = -0*y. Calculate the least common multiple of y and c.
7
Suppose -26 = -2*i - 3*r, 16*r + 32 = 4*i + 12*r. Calculate the least common multiple of i and 165.
330
Let a be 6 - -2*(-3 - -2). Suppose 48 = a*d - 5*x + 12, -4*d = 4*x. Calculate the lowest common multiple of 13 and d.
52
Suppose -2*x + 5*u = -9, 3 = 6*u - 3*u. Suppose 2*s - 14 = s. What is the smallest common multiple of x and s?
14
Let y = -1907/20 - -588/5. What is the common denominator of 1/7 and y?
28
Let n be (-28)/98 - 49589/21. Let w = -4767/2 - n. Calculate the common denominator of 125/72 and w.
72
Let w(g) be the first derivative of -3*g - 1/3*g**3 - 5 + 5/2*g**2. Calculate the common denominator of w(2) and -36.
1
Let n(o) = -o + 3. Let x be n(-2). Let r be x - 8 - (-12 - 1). Suppose -10*c + r = -9*c. What is the smallest common multiple of 4 and c?
20
Suppose -16*a + 171 = 3*a. Let w = -9 + 15. Calculate the lowest common multiple of a and (2 + -1)*(0 + w).
18
Let m be (-17 + -3)*(0 - 3)/(-3). Calculate the least common multiple of 26 and (-46)/(-10) - (-12)/m.
52
Suppose 5*w - 72 = 4*b, -2*w + 48 = w - 4*b. Suppose -w = -3*i + i. What is the smallest common multiple of i and 2/12 - (-214)/12?
18
Let a = -12421/14 - -885. Let m = -140 - -318. Calculate the common denominator of a and 2/3 + m/48.
56
Let i = 4/23383 + -515110/3998493. Find the common denominator of i and 67/152.
1368
Let o = -41 + 45. Calculate the common denominator of 77/52 and (-1)/o*(-76)/(-6).
156
Let v be (-2)/11 - 350/(-110). Suppose -56 = -v*s - s. Let f = -11 + s. What is the least common multiple of 8 and f?
24
Let n = 12 + -4. Suppose -4*q - x = x - 42, q + 4*x = 0. What is the least common multiple of n and q?
24
Suppose -3*w + 4 - 13 = -3*v, -2*v = -5*w - 3. Calculate the smallest common multiple of 12 and -1 + (-25)/(-5)*w.
12
Let u(t) = -445*t**2 + t + 1. Let f be u(-1). Find the common denominator of -69/2 and f/35 - (-2)/(-7).
2
Let d = 69 + -61. Let o be (-1 + 1 - -21) + -1. What is the least common multiple of 8 and 3/(-6) + o/d?
8
Let l = 9454/23 - 9664265/23506. Calculate the common denominator of 17/10 and l.
5110
Let m(k) be the third derivative of -k**6/40 - k**4/24 + k**3/6 - k**2. Let h be m(1). What is the smallest common multiple of (6/h - -18) + -2 and 40?
280
Suppose -i = 3*i - 96. Let j(o) = 12*o - 51. Let v be j(5). Let l = v + 13. What is the smallest common multiple of l and i?
264
Suppose 0 = -61*l + 59*l - 942. Calculate the common denominator of -20/3 and 1*l/96 + 3.
96
Suppose 93*b = 89*b + 20. Calculate the lowest common multiple of b and 100.
100
Let f be 1/(-1)*0 + 2 + 7. Suppose f = -3*d + 57. What is the least common multiple of d and 28?
112
Let x(h) = -3*h - 6. Let v(d) = -72*d**2 + 216*d + 2. What is the lowest common multiple of x(-6) and v(3)?
12
Let y = -12 + -18. Suppose 1 = -d + 4. Calculate the lowest common multiple of 6/4*(-20)/y and d.
3
Suppose 61*m = 58*m + 216. Calculate the least common multiple of m and 136.
1224
Let l = -198 + 202. Calculate the lowest common multiple of l and 12.
12
Let x be ((-751215)/54 - 0) + 3. Let z = x + 13912. Let k = 57233/20 + -2860. What is the common denominator of z and k?
180
Let h(p) = -p**3 - 5*p**2 - 3*p - 10. Let a be h(-5). Suppose v + 117 + 7 = 4*f, -a*f + 148 = -3*v. Calculate the smallest common multiple of f and 20.
160
What is the common denominator of ((-292)/(-88))/(9/((-54)/48)) and -87/10?
880
Calculate the common denominator of 97/76 and (-3)/(-18) - 2/(-171)*-14.
684
Let s(w) = -10*w**2 + w - 2. Let k be s(2). Let x = 3764 - 60195/16. What is the common denominator of ((-5)/(-5))/(k/146) and x?
80
Let x = -5 - 5. Calculate the common denominator of (-44)/10*x*(-3)/(-81) and -49/33.
297
Let z = 164573/8298 + 2/4149. Let g = -44599/15740 + -13/787. What is the common denominator of z and g?
60
Let h = -722 + 3296. What is the least common 