5700 - 5025 = 2*w + s, -26820 = 5*w + 5*s. Let r be -2*(-321333)/(-240)*-2. Let x = r + w. Find the common denominator of x and -103/12.
60
Let q = -1436866/63 - -22806. Find the common denominator of -95/56 and q.
504
Let p(c) = 964*c**3 + c**2 + 3. Let h be p(2). Suppose -28311 + h = 9*k. Calculate the smallest common multiple of (-4)/(-18) + k/(-72) and 16.
32
Let b(v) be the second derivative of -5*v**3/2 - 25*v**2/2 - 2*v. Let k be b(-9). Suppose -23*i + 28*i - k = 0. Calculate the least common multiple of i and 10.
110
Let o be (-12939)/(-6240) + ((-15)/25 - -1). Let a = o - -23/32. What is the common denominator of 10/3 and a?
78
Suppose 236 = 10*w - 74. Suppose 2*v - b = -0*v + w, 3*v - 59 = -b. Let j(p) = 5*p**2 - p. Calculate the smallest common multiple of v and j(-2).
198
Suppose 15 = -5*v, -2 = h - v - 4. Let w = 148 + -144. Calculate the least common multiple of ((-1)/(-2))/(h/(-8)) and w.
4
Let p(o) = 4*o + 398. Let z be p(0). Let j = z + -330. What is the smallest common multiple of j and 5?
340
Let y = -1509 - -1525. Calculate the smallest common multiple of 36 and y.
144
What is the lowest common multiple of 44/(-33)*(-2)/8*1182 and 12?
2364
Calculate the common denominator of 35/17036 and 11 + (-8701)/330 - -4 - (-5)/3.
85180
Suppose 0 = 3*f + 11654 + 18553. Let g = f - -15494. Let s = 151875/28 - g. Find the common denominator of s and -25/8.
56
Suppose 19*x = 16*x - 4*c + 768, -2*x + 5*c = -535. Calculate the smallest common multiple of x and 30.
780
Suppose -2*q - 5*f = 2, -q - 456*f = -455*f - 14. Calculate the least common multiple of (2/(-3))/(2/(-72)) and q.
24
Suppose 2*z = n - 59, -3*z - 5*n - 76 = -4*n. Let s = z + 28. What is the common denominator of 97/8 and 440/32 - (s + 3)?
8
Let q(w) = w**2 + 2*w - 8. Let h be q(-7). Let f = 30 - h. Calculate the lowest common multiple of 10 and f*(-3)/(27/(-30)).
10
Let s = 6286/5 + -1249. Let n(x) = x**3 + 5*x**2 + 6*x + 14. Let b be n(-5). Find the common denominator of s and 267/40 + b/(-128).
5
Let x = -1 - -4. Let o(g) = 57*g + 5. Let d(k) = -34*k - 2. Let r(f) = 5*d(f) + 3*o(f). What is the least common multiple of r(x) and 26?
104
Let c(j) = -3*j**2 + 11*j - 44. Let x be c(5). Find the common denominator of -7/36 and ((-87)/x)/(2 - 36/16).
144
Let q = 32 - 28. Let p be (q/(-10))/(22/110). Calculate the lowest common multiple of (p/(-9))/1 + 989/207 and 67.
335
Suppose -3*i + 3606 = 4*d, 19*d - i - 1808 = 17*d. Calculate the least common multiple of d and 63.
2709
Let u = 19887 - 19627. Let g(t) = -8*t + 2. What is the least common multiple of u and g(-2)?
2340
Let u(h) = -h**2 - h - 2. Let i(y) = -4*y**2 - 10*y + 3. Let v(p) = 2*i(p) - 6*u(p). What is the smallest common multiple of 12 and v(-8)?
12
Let d be 1 + 0 + 0/5. Calculate the common denominator of 68/27 and (d/22)/((3 - 12)/162).
297
Suppose -1757 = -43*i + 420 + 833. What is the smallest common multiple of i and 2160?
15120
Let w(u) = u**3 + 6*u**2 + 14*u - 36. What is the lowest common multiple of 1200 and w(6)?
2400
Calculate the common denominator of (-15)/80*3198/(-117) and -119/2280.
2280
Let x be (-441)/36 - (-6)/(-8). Let d = -4 - x. Suppose -d = -5*h + 51. Calculate the lowest common multiple of h and 2.
12
Let a(l) = -30*l**3 - l**2 - 7*l - 7. Let o be a(-2). Let i = -210 + o. What is the least common multiple of 3 and i?
33
Calculate the common denominator of 43/14 and -10 + (4 - 2) - (-24090)/3000.
700
Let d be ((-32516)/(-10))/((-528)/105 - -4). Let i = -3160 - d. Find the common denominator of -137/48 and i.
144
Let p = 109911 + -184980221/1683. What is the common denominator of -71/1496 and p?
13464
Calculate the smallest common multiple of ((-32)/10 - -2)/((-12)/2700*10) and 2289.
20601
Let v = -1119 + 1123. Suppose 6*n = 4*n. What is the smallest common multiple of v and 5 + 3 - (-3 - n)?
44
Suppose 0 = 5*t + 4*i - 44, 5*i + 32 = -0*t + t. Let v(y) = -46*y + 258. What is the smallest common multiple of t and v(5)?
84
Let w be 12/16 + (-63471)/4. Let g = w - -476147/30. Find the common denominator of g and (142 - 39)/(-6*3).
90
Let p = -532166/129927 + 4/6187. What is the common denominator of 33/1225 and p?
3675
Suppose -5*g + 7*h - 3*h + 2049 = 0, 4*h = -4*g + 1632. Find the common denominator of (-10 + 505/50)*49 and (-4)/18 - g/(-18).
10
Suppose 0 = -2*d - 2727 + 2807. What is the lowest common multiple of (-556)/(-6) + (-4)/6 and d?
920
Let d be ((-4)/3)/((-8)/12). Suppose -d*h = h - 132. Suppose 0 = 285*b - 396 - 6444. Calculate the lowest common multiple of b and h.
264
Let u be (-20)/(-3)*-5 - 34/51. Let n = u - -49. Let s = 27 - n. Calculate the smallest common multiple of s and 2.
12
Let s(p) = p**3 + 8*p**2 - 3*p - 12. Suppose 10*v = 4*v + 6. Calculate the smallest common multiple of (3/v)/((-12)/(-40)) and s(-8).
60
Let z = -1523/524187 + 3131378511623/58708944. Let m = -53338 + z. Find the common denominator of 23/154 and m.
1232
Let p = -2132 - -1353819/635. Let v be 569/1905*(-2541)/(-22). Let j = v - p. Find the common denominator of j and -113/12.
12
Let n = 187392 + -67461223/360. Calculate the common denominator of n and 73/28.
2520
What is the least common multiple of 6140 and 8*11/(-176)*-4?
6140
Let r = 6721/6 + -1113. Let o = 38869/646 + -1089/19. Find the common denominator of r and o.
102
Suppose -2*u + 5*w = 1436, 0 = 2*u - 2*w + 246 + 1190. Let a = u - -746. What is the smallest common multiple of a and 20?
140
Suppose 126*m - 7*m = 9*m + 1650. What is the smallest common multiple of m and 4317?
21585
Let b(w) = -41*w**2 - 7*w - 27. Let l be b(8). Let s = l - -37803/14. Let g = -9629/17688 - -2/737. Calculate the common denominator of g and s.
168
Suppose 6*l - 3*l = 5*m - 51864, -4*m - l + 41481 = 0. Let q = m - 145255/14. Calculate the common denominator of q and ((-2670)/(-20))/(-1 + -404).
1890
Suppose -615*z = -503*z - 1792. What is the smallest common multiple of 15546 and z?
124368
Let n be 1907*(-5)/10*4/434. Let d = n - -82/31. What is the common denominator of 6 + -8 - ((-84)/152 + -1) and d?
266
Let l = 773839/6 - 128965. Let c = -10/2551 - -353821/89608977. Let g = c + 1135759/491778. What is the common denominator of l and g?
42
Suppose -3*u = i - 219, -11*i + 8*i = 5*u - 661. What is the least common multiple of 30 and i?
1110
Suppose 22*w - 357 - 435 = 0. Suppose 0 = -12*c + 9*c + w. What is the smallest common multiple of 4 and c?
12
Let q(p) = 320*p - 3780. Suppose 56 = -5*c + 256. Calculate the lowest common multiple of c and q(12).
120
Let a = 2/71421 + -1499851/357105. Calculate the common denominator of a and -28/2231.
11155
Let t be -1 + 3 + (1 - 1 - -804). Let c = 7249/9 - t. Calculate the common denominator of 115/156 and c.
468
Suppose -16418 - 2388 = -57*y + 5647. Calculate the smallest common multiple of 390 and y.
4290
Let n be (-15)/6*(-18)/9. Let b be (-3)/(-15) + (-99)/(-5). Calculate the least common multiple of 1 and n/((-75)/b)*-3.
4
Let q = 19/717 + -20453/717717. Calculate the common denominator of q and -103/286.
2002
Let k = -128 + 112. Calculate the common denominator of -99/64 and (-23)/(-10) - (-15 - k)/1.
320
Let s = -5667 + 28314/5. Calculate the common denominator of s and 91/584.
2920
Suppose -8*b = 7*b - 15900. What is the smallest common multiple of b and 12?
3180
What is the common denominator of 889/(-224) + (1 - -5 - 2) - -2 and -91/144?
288
Let w = -365 - -374. Suppose -w*i = -18 - 18. What is the lowest common multiple of i and 112?
112
Suppose q = -4*q - 0*q. Suppose -5*p + 0*r + 3*r = 123, q = 5*p + r + 139. Let d = -20 - p. Calculate the lowest common multiple of d and 4.
28
Suppose 0 = -51*n - 259*n + 252733 - 10933. What is the lowest common multiple of 858 and n?
8580
Let h(y) = -2*y**2 - y + 7. Let u be h(-3). Let a(v) = v**2 + 8*v + 8. Let w be a(u). Calculate the common denominator of -109/26 and 2 - ((-1764)/w)/9.
26
Let d = -2912 - -11549/4. Let s = -463769/24 + 19321. What is the common denominator of d and s?
24
Let k(t) = t**3 + 7*t**2 - 8*t + 4. Suppose 0 = 2*y + 2*m - 0 + 16, 0 = 4*m + 4. Let j be k(y). Calculate the common denominator of 1210/j - (1 - 5) and 9.
6
Calculate the common denominator of (-2 - 28/(-18)) + (1 - (3 + -6)) and -39/181.
1629
Calculate the common denominator of ((-1)/((-3