 z + z. What is the least common multiple of z and f?
6
Suppose 43*a - 41*a - p - 8 = 0, -11*p - 34 = -4*a. What is the smallest common multiple of a and (-4)/(-5)*1*115?
276
Let t = -9728 - -428075/44. Let d = -17357/9196 + 5/4598. Calculate the common denominator of d and t.
44
Let y(p) = p**2 + 13*p - 2. Suppose 0 = -5*x + 6*x + 2. Let q be (6/3 + 5)*x. What is the smallest common multiple of y(q) and 2?
12
Suppose -17*i + 456 = -1533. Suppose 2*u - 37 = -5*j - 4, -5*u - j + i = 0. What is the least common multiple of u and 75?
600
Let k(c) = c**3 - 29*c**2 - 137*c + 181. Calculate the least common multiple of 56 and k(33).
112
Suppose 32 = -5*l + 37. Find the common denominator of 111/290 and (-9)/(-2) + 7 - l/(-4).
580
Let n = 77/3888 - 8107/19440. What is the common denominator of n and -31/28?
2520
Let k be ((-137518814)/40 - -7)/(156/(-10)). Let n = k + -220382. Let j = -55/52 + n. Calculate the common denominator of j and 71/9.
72
Let y(g) = -3*g**2 + 2*g**2 + 6*g - 1 + 0*g**2 + 5. What is the lowest common multiple of 1 + 14 - (27 + -7 + -13) and y(6)?
8
Let a = -288 + 286. What is the smallest common multiple of 19/(19/(-10))*a and 112?
560
Let j = 427211647/1104 - 386967. Find the common denominator of 51/56 and j.
7728
Let t(b) = -10*b + 52. Let c be t(5). Let h be 1/(-4) - (-26)/8. Suppose 3*v - v - 2*s = 8, -h*v - c*s = 3. What is the lowest common multiple of v and 3?
3
Suppose -31 = -4*w - 5*j - 4, -2*w - 2*j + 12 = 0. Let u(h) = 2*h**2 - 76*h - 222. What is the smallest common multiple of w and u(-3)?
24
Suppose 5*p - 19005 - 7135 = 0. Let k = -182954/35 + p. What is the common denominator of k and -31/35?
35
Let p be ((-159)/(-1))/(4 - (1 - -2)). Let i = p - 150. What is the lowest common multiple of i and 8?
72
Suppose 4*y = 2*z - 10, 14*y + 2 = 12*y. What is the least common multiple of z and -5*(1 - 7)/2?
15
What is the common denominator of -145/36 and 430/172 - (-26)/48?
72
Suppose p + g - 4*g + 13 = 0, g - 13 = -4*p. Suppose 24 + 4 = 7*h. Suppose p - h = -o. Calculate the lowest common multiple of 8 and o.
8
Suppose 2243 = -30*y - 4957. Calculate the common denominator of -56/135 and (168/y)/(12/25).
1080
Let h = 202940/9 + -22549. What is the common denominator of h and -1/14?
126
Let l(s) = s**2 + 155*s - 1094. What is the smallest common multiple of l(7) and 34?
680
Let f(b) = b**3 - 38*b**2 + 72*b + 1. Let w be f(36). What is the common denominator of ((-83)/(-390))/(w/20*8) and 125/6?
156
Suppose 0 = -4*o - 3*u - 11, 3*o = 2*u - 3*u - 7. What is the common denominator of -49/6 and (2/(-66))/(o/((-1328)/8))?
66
Let c be (-4)/2 + (-157120)/(-78540). Let d = -365203/15708 - c. Calculate the common denominator of d and (2/4)/(60/(-291)).
40
Let w be (-42)/(1 + 1)*21. What is the common denominator of ((-39)/14)/(16200/(-2520)) and 0 + 3 + w/297?
330
Let q = 42/9829 + 978113/3420492. Find the common denominator of q and 67/72.
2088
Let d = 33 - 32. Let v = -518/3 - -190. Find the common denominator of 169/702*(d + -5) and v.
27
Let j be (-18)/36*(1 - -1). What is the smallest common multiple of -4 + (-3)/j + 2 and 27?
27
Suppose 0 = -4*b + 8*b + 4*r - 356, 0 = 4*r - 12. Let m = -85 + b. Calculate the common denominator of 63/26 and 16/(-28)*(9/(-6) + m).
182
Let h = -12 - 5. Let v = -23 - h. What is the least common multiple of 14 and (v/5)/(4/(-100))?
210
Let v = 3661 + -35991292/9831. Let u = -1267665852979/306677848380 - -669/6238996. Let a = v - u. What is the common denominator of 53/33 and a?
165
Calculate the lowest common multiple of 224 and -3 - (-8 + (-296 - (-2 - -2))).
9632
What is the common denominator of 19/(-152)*3276/169 and (-998)/84 + 2/(-7)?
78
Let i = 8517023/108413316 + 1/365028. Find the common denominator of i and -71/594.
1782
Let v(f) be the second derivative of 0*f**4 + 2*f + 0 - 2*f**3 + 1/20*f**5 + f**2. Calculate the smallest common multiple of v(-3) and 10.
110
Suppose -2*b + 102 = 3*n, 4*n - 5*b = 39 + 51. What is the lowest common multiple of n and 30?
30
Let f be (-2)/100*-10 + 58/10. What is the common denominator of 1/(f/702)*1/(-10) and 49/32?
160
Let g(u) = 32*u + 1276. What is the smallest common multiple of g(-23) and 2628?
39420
Suppose 10*a - 13*a = -45. Let n = 3847 - 3835. What is the lowest common multiple of a and n?
60
Let a = 4005 - 24179/6. Suppose -5*m + 42 = l, l = -m + 92 - 34. What is the common denominator of a and (l/(-24))/(19/9)?
228
Let a(p) be the third derivative of p**6/120 - 7*p**5/15 - p**4/24 + 25*p**3/3 - p**2 - 34. Calculate the lowest common multiple of a(28) and 18.
198
Suppose 0 = i - p + 2102, -3*i - 5*p - 10490 = 2*i. Let b be 23514/i + 2/(-14) - 2. Let j = b + 31/25. What is the common denominator of j and 33/20?
20
Suppose 24*c = -5*j + 47495, 5*c - 57*j = -59*j + 9890. What is the lowest common multiple of c and 288?
15840
Suppose -5*v = 2*z + 22 + 9, -17 = z + 4*v. Let k(b) = -9*b + 11 + 7*b - 7. Calculate the smallest common multiple of k(z) and 30.
30
What is the common denominator of 101/1104 and ((-5)/(-90))/(2576/(-1722))?
1104
Suppose 103*f + 46 = 33624. Calculate the lowest common multiple of f and 8.
1304
Let l be -1 + (24 + -4)/5. Let j be ((-4)/l + 1)/(3/(-27)). Calculate the common denominator of 110/16 - (3 - (j + 1)) and -49/5.
40
Let f(o) = o**3 + 31*o**2 + 58*o + 26. Let a be f(-29). Suppose i = -3*n + 132, i + a + 112 = 3*n. Calculate the least common multiple of 8 and n.
360
Suppose -n = 3*w - 5551, -6 = 3*n - 0. Let c = w - 11137/6. Find the common denominator of c and -28/61.
366
Let l be 47485792/15101460 + (-3 + 6 - 8). Let s = 1/167794 - l. Find the common denominator of s and 7/6.
90
What is the common denominator of -17/1520 and 385/420*(-30)/100?
1520
Suppose -19*r - 12 = -25*r. Suppose 0 = r*k + 10, -7*d - 4*k = -2*d - 70. What is the least common multiple of d and 192?
576
Let u be (81/2)/(27/(-144)). Let b = 306 + u. Find the common denominator of b/4*(-3)/108*-3 and -137/42.
168
Let u = -359486 + 359507. Suppose 0 = -0*q + q - 10. Let b = q - -5. What is the lowest common multiple of u and b?
105
Suppose -927*f + 5760 = -911*f. Calculate the smallest common multiple of f and 72.
360
Let s(n) = 2*n**3 + 22*n**2 - 5*n + 125. Calculate the least common multiple of 200 and s(-11).
1800
Let h = -7725780 - -880733209/114. Let z = 299/6 + h. Calculate the common denominator of -1/3 and z.
57
Suppose 4*z + 49 = 61, 2*s - 18 = 4*z. What is the least common multiple of s and 777?
3885
Let b(i) = 39*i - 322. Calculate the common denominator of b(7) and -33/586.
586
Let l = -177526/7 - -25357. Calculate the common denominator of -67/2415 and l.
2415
Let l = -60 + 62. Suppose -c = 3*s + l*c + 6, 2*c = -4*s. Calculate the common denominator of -75/22 and s + 170/(-12)*27/(-30).
44
Let x be (113 - 10/(-15)*6) + 3. Suppose 8*g - 408 + x = 0. What is the smallest common multiple of 8 and g?
72
Let x(n) = 7*n**3 - 2*n**2 + n. What is the lowest common multiple of ((-1775)/(-575) - (5 + -2)) + 63/69 and x(1)?
6
Let k(t) = -4*t - 115. Let i = -208 - -177. What is the lowest common multiple of 215 and k(i)?
1935
Let q be -3 + 110442/28960 + 1. Let d = -434/9 - -392779/8145. Let y = d - q. Calculate the common denominator of y and -145/18.
144
Let d(z) = 3 + 3*z - 6*z + 18*z - 206 + 6*z. Calculate the smallest common multiple of 16 and d(10).
112
Calculate the least common multiple of 4469 and (5 - (-238)/35) + 52/(-65).
49159
What is the common denominator of 7/2456 and ((-1)/96)/((-26)/(-6604))?
14736
Let r = 243 - 376. Let i = r - -138. What is the lowest common multiple of 6 and i?
30
Let x = -97/10 - -753/40. Let j be -4 + 4753/(-28) - (-3)/2. Let a = -180 - j. What is the common denominator of x and a?
8
Let b be ((-2)/4)/((-3)/(-12)). Suppose -3*a + 21 = -s + 4*s, 0 = 5*a + 15. Calculate the smallest common multiple of (16 - (b - -6)) + 2 and s.
70
What is the lowest common multiple of 217/35 + 4/(-20) and 2645?
15870
Let t(d) = 16*d - 31. Let v be t(9). Let r = 131 - v. Calculate the lowest common multiple of r and 6.
18
Let l(n) = n**2 + n - 14. Let t be l(5). Suppose 32 - t = 2*q. What is the lowest common multiple of q and 37?
296
Let y = -119 - -147. Calculate the common denominator of 65/21 and ((-94)/30)/(4*7/y).
105
Su