 -1. Let t(g) = -17*g + 5. Let n(m) = -6*p(m) - t(m). What is the smallest common multiple of n(1) and 6?
18
Let a(m) = m + 49. Let z be a(-11). Suppose u + z = 42. Calculate the smallest common multiple of 4 and u.
4
Let a be (-1482)/(-65) + (-2)/(-10). Let d = 23 - a. Suppose d = 3*t - 15 - 15. Calculate the lowest common multiple of t and 1.
10
Let f(y) = 54*y - 201. What is the lowest common multiple of 450 and f(4)?
450
Let n = 17 + 93. Let m = 158 - n. Calculate the common denominator of -111/10 and m.
10
What is the lowest common multiple of 40 and (-14)/2*(-152)/133?
40
Let v = -1079 - -5378/5. Suppose -18*m = -10*m + 4944. Let w = 1837/3 + m. Calculate the common denominator of v and w.
15
Let y = -6323/264 - -647/22. Calculate the common denominator of 31/40 and y.
120
Let h = -1069 + 1080. Calculate the least common multiple of 55 and h.
55
Suppose 5*t + 9 = x, 3*t + 27 = x + 4*t. Suppose -n + 14 = m, -3*n + 6*n = -12. Calculate the lowest common multiple of m and x.
72
Let m be 3/(1 - 0/(-2)). Suppose -h - 2*w + 4 = 0, 2*h + 5*w - 10 = -3*h. Suppose m*o + h*o = 3. Calculate the lowest common multiple of o and 6.
6
Suppose 0 = -2*f - 3*f + 2*j + 21, f + 12 = -5*j. Suppose 22 = f*w + 4. Let a = 13 + -7. Calculate the lowest common multiple of a and w.
6
What is the common denominator of -38/13 and (-11)/((-539)/(-28)) - (-898)/126?
117
Calculate the least common multiple of 110 and 156 - (55/10 - 1/(-2)).
1650
Let v(f) = -2*f - 2. Suppose 4*m + 22 = -3*n, -12 = 4*m - 2*n - 0*n. Let a be v(m). Suppose 18 - a = 3*u. What is the least common multiple of 20 and u?
20
Suppose 3*q + 18 = 6. Let z(y) = 3*y + 25. Let d be z(-9). Let w = d - q. Calculate the smallest common multiple of w and 22.
22
Suppose -3*p + 17 = 4*y, 2*p = -y - p + 11. Let n = y + 4. What is the smallest common multiple of 2 and n?
6
Let y = 7319 + -146337/20. Find the common denominator of (-321)/(-66) + 1/(-22)*-4 and y.
220
Let b(h) = 6*h**3 + h - 3*h**2 + 2*h**2 - 3*h + h. Let y be b(-1). What is the common denominator of 18/(-45) + y/(-20) and -101/8?
40
What is the common denominator of -71/208 and (-4 + 1)*(-2209)/7332?
208
Let c be ((-119)/6)/(-7) + 14/84. Let v be 2/(-6) - 32/(-6). Suppose -c*p - p = -5*i - 36, -v*i + 36 = 4*p. Calculate the lowest common multiple of p and 10.
90
Let w(d) = -d**3 + 7*d**2 - 6*d - 7. Let u be w(5). Suppose -u*s = -s - 108. Calculate the least common multiple of 7 and s.
63
Let w = -3527522875/13368564 - -359081/1331. Let l = w + 2/2511. Calculate the common denominator of -51/4 and l.
12
Let r(p) = 7*p**2 + 13*p - 15. What is the smallest common multiple of r(-3) and 25?
225
Let k(t) = t**2 - 3*t + 2. Let w be k(7). Find the common denominator of -33/10 and -2 - (-123)/w - 0.
10
Let s(n) = n**3 - 2*n**2 - 8*n + 5. Let a be s(5). Calculate the common denominator of (-2 + a - 4)/(-7) and 41/12.
84
Suppose 3*c = 15, 44 + 10 = -3*p + 3*c. Let h be 2 - (0 - 3 - p). Find the common denominator of -49/10 and (-30)/9*(-3)/h.
20
Suppose -4*l + 2*l = 222. Find the common denominator of 25/2 and l/(-84) - 21/(-49).
4
Suppose -12 = -3*c - 0. Suppose 3*i = -m + 11 + 8, -i = c*m - 10. Calculate the least common multiple of i and 2/(-5) - 72/(-5).
42
Suppose 0 = b - 4*b + 66. Let o be 6/(-2) + 1 - (19 - 26). Suppose -p + 2*k + 44 = 3*p, -2*k = -o*p + 56. What is the smallest common multiple of b and p?
132
Let t(y) = -y**3 - 2*y**2 - 2. Let d be t(-3). Suppose 0 = -2*s + 1 + d. Suppose s*c - 33 = 23. Calculate the lowest common multiple of 2 and c.
14
Let f = -2364707/2262 - -90/377. Let u = -1054 - f. What is the common denominator of (-39)/(-33)*2 + -1 and u?
66
Let h = 0 - -12. What is the least common multiple of 98 and h?
588
Find the common denominator of 61/60 and (274/(-252))/(8 - 368/48).
420
Let x = 125 + -61. What is the least common multiple of x and 56?
448
Let b = -649 - -376. What is the common denominator of b/2*(5/3)/(-5) and 9/4?
4
Let d = -1479 - -2901/2. Calculate the common denominator of 1 + 1 + 55/8 and d.
8
Calculate the smallest common multiple of 425/(-85) - ((-2)/(-2) + -14) and 540.
1080
Suppose -3*q = 4*q - 7. Calculate the lowest common multiple of q/8 + 713/184 and 20.
20
Let v = 15 - 7. Suppose -47*q + 17*q + 240 = 0. What is the smallest common multiple of v and q?
8
Let u(d) = d**3 + 7*d**2 - 10*d - 36. What is the smallest common multiple of u(-6) and 40?
120
Let u = -21/460 + 147/46. Let i(l) = -l**3 + 8*l**2 - 8*l - 6. Let j be i(6). Find the common denominator of ((-3)/((-6)/(-278)))/j and u.
180
Find the common denominator of -26 + 11 + -20 + 18 and -33/274.
274
Let o = 313/2 + -161. Suppose -3*c = 2*v - 4*v - 3, 0 = 3*v + 2*c - 2. What is the common denominator of o and (2020/24)/(-5) - v?
6
Calculate the common denominator of 65/22 and (-18 - (-1 - 14)) + 163/32.
352
Let c(j) = 7*j + 214. Let i be -5 - -1 - (2 - 4). Calculate the lowest common multiple of (4 - 1) + i/2 and c(-29).
22
Let f be 6*(-4)/(-16)*2. Suppose 5*l - 4*z - 25 = -3, 3*l + 3 = -f*z. Suppose 0 = -t + 4, -5*t = 2*n + 6 - 36. What is the least common multiple of n and l?
10
Suppose 15 = -6*t + 9*t. Suppose -t*b + 18 = -17. What is the smallest common multiple of b and 12?
84
Suppose -i + 173 + 462 = 0. Let m = -5025/8 + i. Calculate the common denominator of m and -7/52.
104
Let g(f) = -f**3 - 17*f**2 + 19*f + 36. Let u be (-679)/35 + 1 + 4/10. What is the lowest common multiple of g(u) and 8?
72
Let n be 363/(-15) + (-20)/25. Let t = 35 + n. What is the lowest common multiple of 3 and t?
30
Suppose 4*o + 213 = -5*y, 4*y - 168 = o + 3*o. Suppose -3*w + t + 4*t = 84, -28 = w - 5*t. What is the common denominator of -2 - o/w*-6 and -25/12?
84
Let v(i) = -18*i - 20. Suppose -25*c = -23*c - 12. What is the lowest common multiple of v(-5) and c?
210
Suppose -3*q = -5*f, 0 = -2*f + 2*q - 2 - 2. Calculate the least common multiple of 14 and f.
42
Suppose 5*k = 16 - 61. Let n(z) = z**2 + 6*z - 17. What is the smallest common multiple of ((-36)/14)/((-2)/14) and n(k)?
90
Suppose 23*u = 59*u - 1620. Find the common denominator of u and -81/850.
850
Let v be 6/(-2) + (-1480)/20. Let i = v - -99. What is the lowest common multiple of i and 22?
22
Suppose -5*t - 9 + 39 = 0. What is the least common multiple of 5 - (-12)/2*(-10)/(-4) and t?
60
Suppose 0 = 5*g - 3*t + 16, 0*g - 5*t = -g + 10. Let o = g - -5. Suppose h + 5*j - 37 = o, 91 = 5*h - h + j. What is the smallest common multiple of h and 18?
198
Let n be ((-2)/(-60))/(2/187115). Let a = n + -3129. Calculate the common denominator of 47/9 and a.
36
Let o = 7445/2824 + -4/353. Calculate the common denominator of o and -49/10.
40
Suppose 0 = -u + 2*n + 98, 2*n = -2*u - 2*n + 204. Let c = 72 + -649/9. What is the common denominator of 3 + u/(-1 + -1) and c?
9
Suppose 2*w = 4*d - 252, -3*d + 194 = -4*w + 5*w. Suppose -224 = 6*v - 254. Suppose d = v*b - b. What is the lowest common multiple of b and 2?
16
Let y = -475 + 515. Calculate the lowest common multiple of y and 16.
80
Let j = -446/145 + -166/29. Calculate the common denominator of 31/12 and j.
60
What is the common denominator of -22/489 and ((-21)/((-840)/(-32)))/(6/(-10))?
489
Suppose 2*b - 5*b = -9. Suppose -p = -4*k - 403, -4*k = -b*p - 8*k + 1193. Find the common denominator of -15/16 and 9/(-6) + p/60.
80
Let z = 4/7703 - -608401/261902. What is the common denominator of -27/20 and z?
340
Let p(k) = -199*k + 1. Let t be p(1). Let b = -375/2 - t. What is the common denominator of b and -11/17?
34
Suppose 4*u = 5*y - 255, y - 3*y = -3*u - 102. Calculate the smallest common multiple of 30 and y.
510
Let f(k) = k**3 - 9*k**2 + 3*k + 3. Let y be f(9). Let x = -5103 + 30527/6. Find the common denominator of (2/y)/(12/(-10)) and x.
18
Let b = -134621/48 + 2805. What is the common denominator of b and 5/6?
48
Let l(w) = 4*w - 202. Calculate the lowest common multiple of (-2)/(-8) - (-597)/12 and l(55).
450
Let j = -5550 - -49901/9. What is the common denominator of j and (-4)/(-27)*(-39)/2?
9
Let f = -616 + 634. What is the lowest common multiple of f and 24?
72
Suppose 5*r - 11*r - 5772 = 0. What is the common denominator of 73/20 and (-18)/45 - r/(-220)?
220
What is the smallest common multiple of 6/(-4)*(-4 + (-24)/18) and 307?
2456
