 Suppose 5*t + 0*t = a*g + 51, 9 = 2*t - 5*g. What is the lowest common multiple of t and 6?
12
Let u = 41 + -22. Find the common denominator of (-32)/(-11) + 2 + (6 - 10) and -1 + (-39)/u + 1.
209
Let l = 537805/1887 + -15987754513/56583582. Let f = l + 1/2726. Let s = -507/5 + 101. What is the common denominator of s and f?
55
Find the common denominator of -7 - (1 - 4) - (-1048)/48 and 77/2.
6
Let x be 30868/(-42) + (-2)/(-7). Let c = x + 1495/2. Calculate the common denominator of 1898/(-416) - 3/2 and c.
48
Let h = 155 + 166. Find the common denominator of 97/2 and h/(-4)*-4*2/(-60).
10
Let i be 1/((-3)/(-3) - 0). Suppose 9*s - 4 = 32. What is the smallest common multiple of s and 4 - -8 - i*2?
20
Let a = -310/1399 - -203465/507837. What is the common denominator of -6/7 and a?
2541
Let c(g) = 5*g - 3. Let y be c(3). Suppose 16*m = 10*m + y. What is the smallest common multiple of m and (-4)/(-18) + (-133)/(-9)?
30
Let u be (-18 + 3)*((-3)/(-5) - 0). Find the common denominator of -19/23 and 265/(-63) + (-2)/u*-1.
161
Suppose -5*i + 32 = 3*b, -3*b - i - 2*i = -30. What is the common denominator of b/(-6)*26/6 and -81/14?
14
Let i = -5 + 10. Suppose -35 = -3*s - i*r, 4*s - s + 4*r = 40. Calculate the least common multiple of s and 10.
20
Let j = 49 + -40. What is the lowest common multiple of 3 and j?
9
Let b = -3230/7 - -197170/427. Calculate the common denominator of -12/23 and b.
1403
Let w = 1 - -6. Suppose -w - 3 = -5*k. Suppose 0 = -n + k*q - 1, n - 20 = -4*n + 5*q. What is the lowest common multiple of n and 6?
18
Suppose 0 = 2*r + r - 843. Find the common denominator of -6/29 and 4/(-14) + r/28.
116
Let m = 1552 + -4718/3. Calculate the common denominator of 37/282 and m.
282
Suppose 0 = -i + 1 + 34. What is the smallest common multiple of 25 and i?
175
What is the common denominator of 22 + -10 - (-6669)/(-548) and -53/44?
6028
Suppose -4*f + 4*q + 59 + 89 = 0, q = -f + 47. Calculate the least common multiple of 42 and f.
42
Suppose -2887 - 5737 = -44*q. What is the smallest common multiple of q and 28?
196
Let k be (-12)/3*1 - 1. Let i = -5 - k. Suppose -5*o - 5*m = -50, -2 + i = -m. Calculate the lowest common multiple of 6 and o.
24
Let a(b) = -b**3 + 4*b**2 + 5*b. Let k be a(4). Suppose k*z - 70 = 15*z. Calculate the lowest common multiple of 4 and z.
28
Let p = -12 - -24. What is the least common multiple of p and 5/(10/(-24))*-1?
12
Let y = -6/581 + 43587/1162. Find the common denominator of 17/64 and y.
64
Let c = 87 - -19. What is the common denominator of 0 - 1 - 28/3 and 7/42 + c/48?
24
Let k(i) = i - 2. Let p be k(4). Suppose -s = p*s - 321. Calculate the common denominator of s*3*4/72 and -93/4.
12
Suppose -42 = 2*s + 24. What is the common denominator of ((-6)/16)/(2/(232/s)) and 0 + 2/((-44)/(-83))?
22
Suppose -4*n + 8*n = -464. Let r be ((-3)/(6/n))/2. Let k = r - 25. What is the smallest common multiple of 5 and k?
20
What is the least common multiple of 1 + 74/26 + (-50)/(-325) and 156?
156
Let a(l) = 2*l**3 + 17 + 7*l - 3*l**3 - 2*l**3 + 2*l**3 + 7*l**2. What is the least common multiple of a(8) and 1?
9
Let t = 2086 - 4269/2. Calculate the common denominator of 13/33*18/(-12) and t.
22
Let u(a) = -a**2 + 10*a - 16. Let p be u(8). Suppose p = w - 5 + 4. What is the smallest common multiple of w and 6?
6
Let g be (-3)/6 - (-87)/(-6). Let h = 24 + g. Suppose 0 = -l + 2*l - 25. Calculate the lowest common multiple of l and h.
225
Let b(r) = 2*r - 20. Calculate the smallest common multiple of 12 and b(16).
12
Suppose t - 26 = 2*q, 5*t - 115 = -q + 6*q. What is the common denominator of 19/95 - 359/t and -45/22?
44
Calculate the common denominator of 2/141 and 1/(-45) - (214/(-30) + 7).
423
Find the common denominator of 44/5 and 29*6/(-54) - -2.
45
Let f(g) = -g**3 - 29*g**2 + g + 35. What is the lowest common multiple of 2 and f(-29)?
6
Let a = -12790426213/3396 + 3766321. Calculate the common denominator of a and 9/2.
3396
Calculate the lowest common multiple of 280 and (14/8)/((-23)/(-92)) - -9.
560
Let d = 58 + -85. Let p = -15 - d. Calculate the lowest common multiple of p and 33.
132
Calculate the common denominator of 13/57 and 1652/(-352) + -3*2/33.
456
Let i = -1004 + 6025/6. What is the common denominator of i and 2/60*134 + 1?
30
Suppose 0 = -y - 1 + 3. Let a be y - (2 + 8/(-2)). Suppose -2*n + a*f - 52 = -4*n, -2*n = -3*f - 31. What is the least common multiple of n and 12?
60
Let p be (-11)/(-66) - 151/546. Let w = -6/13 + p. What is the common denominator of w and (-2)/4 + 58/16?
56
Let t(a) = a**3 + 11*a**2 + 11*a + 11. Let z be t(-10). Suppose z = s - 11. Let p(u) = 5*u**2 + 3*u + 4. Calculate the least common multiple of s and p(-2).
36
Let r = -13469 - -30216. Let k = r + -401861/24. What is the common denominator of k and 111/28?
168
Let t(u) = u**3 + 9*u**2 + u + 57. What is the least common multiple of t(-9) and 12?
48
Let i = -9864 - -443908/45. What is the common denominator of i and -2/15?
45
Let x = -2/1473 - -54511/7365. Let p = 8383 - 611972/73. Find the common denominator of p and x.
365
Let g be (3/3 + -3)*3. Let v(r) = r**2 + 5*r - 8. Let m be v(g). What is the least common multiple of (-6)/(-4)*(4 - m) and 5?
45
Let i = 8/1271 + -123447/25420. Let t = 2/2421 + -84739/4842. What is the common denominator of t and i?
20
Let w = 10909/21 - 520. Let u = 47109 + -988810/21. Let a = w - u. Find the common denominator of a and 49/5.
15
Let b = 21 - 17. Calculate the common denominator of (9/4)/((-9)/(-102)) and b + -5 + (-58)/(-40).
20
Let m(t) = 6*t**2 + 3*t. Let u = 36 - 30. Suppose 5*k - u = 4. What is the least common multiple of k and m(-2)?
18
Suppose 0 = 40*z - 36*z + x - 719, 2*z - 356 = -4*x. What is the least common multiple of z and 162?
1620
Suppose -3*o + 4 = -o. Let q(w) = w**2 + 6*w + 0*w**o + 0*w**2 + 4 + 5*w. What is the least common multiple of 14 and q(-11)?
28
Let v = 1 + 3. Let n(h) = h**3 + h**2 + 1 - 2*h + 0 + 2. What is the least common multiple of v and n(2)?
44
Suppose 0 = 3*d + 5*j, 0 = -3*d - j - 13 + 1. Let f(h) = -h**3 + 6*h**2 - 3*h. What is the lowest common multiple of f(4) and 15 + (d - 8/(-2))?
140
Suppose -23*c - 6 = -20*c. What is the least common multiple of 6 and ((-741)/(-228))/(c/(-8) - 0)?
78
Let d be (-2)/(-22)*(-5774)/(-42). Let n = 13/77 + d. Find the common denominator of n and -21/11.
33
Let p = -169750 - -345835/2. Let a = p + -2967. Let m = a + -205. Calculate the common denominator of 83/8 and m.
8
Suppose -o - 3*n + 4 = -6*n, 3*o + 2*n - 12 = 0. What is the common denominator of 387/84 - (7 + (-400)/64) and 0 + 2 + o/44?
77
Let t = -1008 - -3491. Let w = -14861/6 + t. Find the common denominator of w and -6 - -5 - 21/77.
66
Suppose 16 = 2*n + 12. Calculate the common denominator of 0/n - ((-93)/(-81) - 2) and -80/21.
189
Suppose -2*x + 180 = -3*f, -73 = 2*x + 5*f - 253. Calculate the least common multiple of x and 33.
990
Let m = 16295/84 - 193. Find the common denominator of -37/18 and m.
252
Let m = -6/2803 + -271855/16818. Let y = -307 - -201. What is the common denominator of y/50*25/10 and m?
30
Let k be (-1360)/75 - (-12)/(-20). Let s = -207/5 - k. What is the common denominator of s and -46/11?
33
Let r(u) = 2*u**3 + 12*u**2 - 4*u - 4. Calculate the smallest common multiple of r(-6) and 32.
160
Let n = 490/27 - 40429/2214. Find the common denominator of -43/8 and n.
2952
Let x(m) = 4*m - 25. What is the smallest common multiple of x(17) and 4?
172
Calculate the common denominator of 35685/50505*1/(-3) and 8/333.
2331
Find the common denominator of 53/4 and (-251)/(-154) - 12/(-84).
44
Let s(u) = -4*u - 4. Suppose 3*h + 16 = -h. What is the smallest common multiple of 2 - -17 - (3 + -4) and s(h)?
60
Let y(b) = b**3 - 11*b**2 - 9*b - 15. Let t be y(12). Let q be 2817/t + -2 + -4. Let k = q + -126. Find the common denominator of k and 24.
7
Let q be (-1)/(106/(-36) - -3). Find the common denominator of ((-11)/(-110))/(2*1/q) and -73/6.
30
Suppose -3*t = -g - 7, -2*g - 4 + 2 = 0. Suppose 0*v - t*v = 84. Calculate the common denominator of v and -39.
1
Suppose 0*c = -a + 2*c + 20, -4*a + 80 = -5*c. Suppose -90 = -7*d - a. What is the least common multiple of d and 6?
30
Suppose -2*t + 5 = 25. Let o(z) = z**2 + 7*z - 3. Calculate the lea