t is the smallest common multiple of (-1 + 4 - -33)/2 and r?
666
Suppose 3*s - 5*t = 73, 3*s + t - 5*t = 68. Calculate the lowest common multiple of s and 310.
2480
Suppose 12 = l + 2. Suppose -a + l = -2. Calculate the smallest common multiple of a and 20.
60
Let j = -1/4047 + 133585/137598. Let u = -27893/6 - -4663. What is the common denominator of j and u?
102
Calculate the common denominator of -7 - ((-4774)/440 + 9*1) and 2 + 1*23/(-22).
220
Suppose -4*o + 15 + 11 = -2*v, 16 = 2*o + 2*v. Find the common denominator of (243/6)/(o + -4) and -23/10.
10
Let l be -2 + 3679/1227 + -1. Let s = 74839/4908 - l. What is the common denominator of ((-6)/(-24))/(24/(-582)) and s?
16
Calculate the common denominator of -3704*1/(-644) + 3*-2 and 32/207.
1449
Find the common denominator of -7/59 and ((-16)/(-40)*-5)/((-3)/17).
177
Let p = 408 + -402. What is the lowest common multiple of p and 21?
42
Suppose -5*o - 18 = -v - 8, -o = -5. What is the smallest common multiple of v and -11 + 21 + 7/(-2)*-10?
315
Suppose 71 = 3*x + 29. Calculate the common denominator of -79/32 and (1/x)/((-36)/(-4074)).
96
Suppose -2*p = -l + 7, -30*l - 4*p = -26*l - 40. Calculate the lowest common multiple of 72 and l.
72
Let x = -267 - -381. What is the least common multiple of 342 and x?
342
Suppose -5*w = -2*w - 21. Let q be 9/(-6)*76/6. Let i = -12 - q. Calculate the lowest common multiple of w and i.
7
Let c be (-199376)/28 - (-4)/7. Let y = -99787/14 - c. Find the common denominator of (117/42)/(-1) + -1 and y.
14
Let s = -41273/8 - -5149. Let n = -57/49 - 1781/196. Let k = n + 291/28. Find the common denominator of s and k.
56
Let z(o) = 3*o + 1. Let p(x) = -x**3 - 6*x**2 + 6*x - 1. Suppose -5*a = 5*u + 20, -2*a - 3*a = 2*u - 1. Calculate the smallest common multiple of p(u) and z(5).
48
Let q(w) = 34*w + 240. What is the smallest common multiple of 48 and q(-6)?
144
Suppose 0 = -4*v - 0*j + 4*j + 8916, 5*j + 20 = 0. Let z = v - 11174/5. Let y = 9813/8 - 1222. What is the common denominator of z and y?
40
Let n = -1336957/66 + 20258. Calculate the common denominator of 67/54 and n.
594
Let c = -676 + 678. What is the smallest common multiple of c and 118?
118
Suppose 0 = i + 3*t + 9741, 0 = i + t - 5*t + 9713. Let z = i + 214139/22. Find the common denominator of z and 82/(-24) - (-9)/(-12).
66
Let p = -24 + 19. Let o(v) = v**3 + 8*v**2 + 9*v + 10. What is the least common multiple of 6 and o(p)?
120
Let p = -16554/19 - -3541777/4066. Calculate the common denominator of -57/22 and p.
2354
Suppose s + 80 = 6*s. Suppose k = -39 + 41. Find the common denominator of (87/s - k) + -1 and 37/2.
16
Suppose -d = i - 19, -3*i - 6*d + 63 = -5*d. What is the smallest common multiple of (-8)/28 + 30/7 and i?
44
Suppose 3*u = -4*z + 12, 5*u + 2*z - 4*z - 20 = 0. Let j be 1/u + 53610/72. Let c = 732 - j. What is the common denominator of 61/18 and c?
18
Let a(f) = -f**2 - 17*f - 21. Let r be a(-10). Let v = -25 + r. Calculate the lowest common multiple of v and 27.
216
Let i be -8 + 4 + 335/5. Find the common denominator of (-1947)/420 - (-18)/i and 71/32.
160
Let d = -78 + 84. What is the common denominator of 107/18 and (-3355)/66*d/100?
180
Calculate the common denominator of 13/20 and (-2)/4 + 98/88.
220
Let l = 5 - 11. Calculate the common denominator of ((-77)/(-10))/(-1) - (l - -2) and 1/4 - 74/(-8).
10
Let l(g) = -3*g - 4. Let x be l(-2). Suppose -13 = -x*k + 7. What is the lowest common multiple of 2 and k?
10
Let f = -2/2799 - -11222/36387. Find the common denominator of -19/67 and f.
871
Let a = 2529 + -2287. What is the smallest common multiple of a and 22?
242
Let k(q) = -3*q - 11. Let f be k(-4). Let l be (3/f + -11)/2. What is the common denominator of l + 4/(56/67) and -45/2?
14
Suppose 4*b - 5703 = g, 0*b + 5*g = 2*b - 2865. Let v = 5423 - b. Let z = v + -23869/6. What is the common denominator of 107/10 and z?
30
Suppose -170*t + 158*t = -108. Suppose -4*c - p + 31 = 0, p + 18 = 2*c - p. Let n = c + -5. What is the smallest common multiple of n and t?
9
Let a = 223 + -215. What is the smallest common multiple of a and 20?
40
Let g be -12*(1/10 - (-3)/(-5)). What is the least common multiple of 28 and (15/(-10))/(2*g/(-32))?
28
Let l(r) = -24*r - 362. What is the smallest common multiple of 262 and l(-16)?
2882
Let m = -15 + 20. Suppose -o - 3*q - 183 = 3*o, 3*q = m*o + 249. What is the common denominator of ((-15)/o)/(6/(-56)) and 81/2?
12
What is the smallest common multiple of 1/(-2) - 3222/(-12) and 5?
1340
Let z(c) = -2*c**3 - 4*c**2 + 4*c + 10. What is the lowest common multiple of 16 and z(-3)?
16
Calculate the least common multiple of 6 and (-194)/(-8) + (9/(-4) - -2).
24
Suppose -13*b + 50 = 37. Let f(h) = -30*h + 1 - 4 + 4. Find the common denominator of f(b) and 11/8.
8
Suppose -4*o + 67 = -65. Suppose -10*a = -32 - 148. What is the least common multiple of a and o?
198
Let q = 270263/20 - 13516. What is the common denominator of q and 59/(-18) - (-3 + 1)?
180
Let o(w) = -w**3 + 2*w**2 - w + 1. Let z be o(0). Let f = -4/3077 - -267739/30770. Find the common denominator of (z + 22)*(-18)/108 - 1 and f.
30
Suppose 5*b + 0*b - 90 = 0. Let d = 52 + -61. What is the lowest common multiple of b and (-51)/(-3) - (d + 12)?
126
Suppose -4*q = -5 + 1. Let p(h) be the third derivative of h**6/15 + h**5/60 - h**3/6 - h**2. Calculate the lowest common multiple of 3 and p(q).
24
Suppose -3*o + 69 = -3*c, 3*c - 24 = -18. What is the common denominator of -2 - (-4)/(-18)*28 and (0 + -40)*(-8)/(1120/o)?
63
Suppose 4*v + 4 = 6*j - 3*j, 0 = 2*j - 4*v + 4. Let a be 1 + -1 + -2 + 0. What is the lowest common multiple of ((-8)/a)/((-2)/(-3)) and j?
24
Let a = -3601456/19 + 189679. Let x = a - 152711/1178. What is the common denominator of -65/6 and x?
186
Let b(u) = u**2 - 2*u - 1. Let d be b(3). Suppose 0 = -3*p - d*x + 3*x - 34, 0 = 4*p + 5*x + 77. Find the common denominator of -117/20 and (-7 - p)/(8/(-14)).
20
Find the common denominator of -71/510 and (8/600)/(4/(-114)).
2550
Let o = 22 - 4. Let k(s) = s**3 - 7*s**2 + 12*s. Suppose -20 = -9*z + 5*z. What is the least common multiple of o and k(z)?
90
Let d be -2 + 2 + -3 + -5. Suppose -84 = -15*t - 24. What is the least common multiple of (-12)/(2 - d/(-3)) and t?
36
Let v be (-4)/6 - (-23)/3. Let x(f) = 2*f - 7. Let o be x(-5). Let j = v - o. Calculate the least common multiple of j and 12.
24
Let j(t) = -4*t**3 - 3*t**2 - 3*t + 4. Let x be j(-3). Calculate the common denominator of x/(-14) + (-2)/(-4) and 73/6.
42
Calculate the common denominator of (-1102)/(-840) - 42/98 and (3 - 404/(-88)) + -3.
660
Suppose 12 = 2*o - 18. Let v = o + -83. What is the smallest common multiple of 10 and 2/(-3 + (-212)/v)?
170
Calculate the least common multiple of 136/34 + 0 + 0 and 26.
52
Let d = -8542 + 1025023/120. Calculate the common denominator of d and -143/270.
1080
Let a(n) be the first derivative of -n**3/3 + 5*n**2 - 4*n - 12. Let h be a(12). Let s = 52 + h. Calculate the least common multiple of s and 16.
48
Let g = 13 - 8. Suppose 6*z - 3*z = g*t - 53, -t - 5*z = -5. Calculate the smallest common multiple of 10 and t.
10
Suppose -4*l + 76 = 4*a, -l - 18 = -3*l + 3*a. What is the least common multiple of 50 and l?
150
Suppose -6*c - 125 = -593. Calculate the least common multiple of c and 12.
156
Calculate the common denominator of 23/33 and 2/4 - (-2990)/(-5700).
3135
Let c = -22/225 - 1441/450. Suppose 5*a + 0*i + 14 = -3*i, -5*i = 15. What is the common denominator of c and (-4 - a) + (-92)/207?
90
Let c = 863/4 - 21537/100. Find the common denominator of -57/10 and c.
50
Let x = -358 + 366. Calculate the least common multiple of 1162 and x.
4648
Let r be 30/(-195) + 28/13 + 2. Calculate the lowest common multiple of r/10 + 342/45 and 10.
40
Let a = 1765 + -1182. Find the common denominator of 7/8 and (a/88)/(2/(-4)).
8
Suppose -4*j - 70 = -58, 0 = -3*f + 3*j + 60. Calculate the common denominator of 22/67 and f.
67
Let c = 3101 + -18547/6. Calculate the common denominator of -6*(-1 - (-46)/15) and c.
30
Let b(j) = j**2 + 7*j + 15. Suppose -l = -14 + 18. What is the lowest common multiple of b(l) and 18?
18
Suppose 24 - 25 = -n. Let o be (-4)/8*(-1 + n). Suppose -4*l + 61 + 3 = o. What is the smallest common multi