and u.
132
Let y(j) = -10*j**3 - j**2 + 1. What is the smallest common multiple of y(-1) and (-16)/(-10) - (-204)/510?
10
Let h = -52 + 28. Find the common denominator of h/(-36) + (632/(-78))/2 and 32/9.
117
Let a = 1/11802 - -98333/200634. Find the common denominator of -23/27 and a.
459
Calculate the smallest common multiple of 1*((-8)/5)/((-52)/390) and 298.
1788
What is the common denominator of -103*(1/8)/(36/(-48)) and 2 + (3 - 180/(-32))?
24
Let t be ((-1)/(-3) - 1)*(-270)/(-5004). Let y = 9601/278 + t. What is the common denominator of 3/31 and y?
62
Suppose -m = 5*u - 348, -216 = -5*u + 2*u + 3*m. What is the least common multiple of u and 70?
70
Suppose 0*g + 4*s + 32 = 4*g, -2*s = 3*g - 14. Let i = -5 - -17. What is the smallest common multiple of g and i?
12
Let s = 88 + -24. Let i be ((-4)/(-3) + -4)*3. What is the least common multiple of s/24*(-66)/i and 7?
154
Let w = -751 + 54073/72. Calculate the common denominator of w and 37/3.
72
Find the common denominator of (-466)/(-2548) + (-34)/(-221) and 55/63.
882
Let s(z) = z**3 - 4*z**2 - z + 5. Let d be (-2*1)/(-6 - -5). Suppose 0 = k + 3*c - 4, d*k + 0*c = 2*c + 8. What is the lowest common multiple of 11 and s(k)?
11
Let x = 1277 - 56189/44. What is the common denominator of x and -73/16?
176
Let t = 12/83 + -11609/498. Let c be -2 - (2 + 171/24). Let i = c - -369/40. Find the common denominator of i and t.
30
Let t be ((-10)/(-1675))/((-3)/5). Let j = 12472/1005 + t. What is the common denominator of -23/6 and j?
30
Let l(z) = 2*z + 33. Let i be l(-16). Calculate the smallest common multiple of 36 and (-21 + (i - 2))/(5/(-10)).
396
Let i(a) = -a - 5. Let f(q) = -4*q - 8. Let y = 8 - 14. Calculate the least common multiple of i(-15) and f(y).
80
Let t(l) = -l**3 + 13*l**2 + l - 6. Let r be t(13). What is the common denominator of 15/280*226 - (-1)/r and 57/2?
4
Suppose -8*s + 132 = -92. Let i = 40 - s. Calculate the lowest common multiple of i and 18.
36
Let j be (-11 + 9)*31/(-2). Suppose 4*f - 45 = j. What is the smallest common multiple of (-127)/(-8) - f/(-152) and 10?
80
Let d(q) = -5*q**2 + 2*q + 4 - 5 + 5*q**2 - 2*q**2. Let n be d(2). Let l = n - -14. What is the least common multiple of 3 and l?
9
Let g be 1 + 1613/870 + 0. Let z = g + 4/87. Let w = 4463/564 + 149/47. Calculate the common denominator of w and z.
60
Suppose 0 = -4*u + 23 + 81. What is the least common multiple of 9 and u?
234
Suppose -q = -3*q + 5*w - 16, -2*q + w = 0. Suppose 4*k = g - q*g + 45, 3*k - g - 25 = 0. What is the smallest common multiple of k and -7 - 11/(66/(-48))?
10
Suppose g = -4*z + 32, -2*g = -3*z + 12 + 12. Suppose 5*h = -r + 34, -2*h - 34 = 3*r - 6*r. Calculate the lowest common multiple of z and r.
56
Suppose 432 = 23*j + 156. What is the smallest common multiple of 108 and j?
108
Suppose 2*g - 2*f - 12 = 0, g - 5 + 3 = -3*f. Suppose -g*b + 42 = 2*b. What is the lowest common multiple of b and 21?
42
Let t be ((-1)/(-3) - 2)*(2 + -5). Suppose -3*k - 2*k + 185 = 0. Suppose 2*y + k = t*q, y - 19 = -3*q + 12. What is the smallest common multiple of 8 and q?
72
Let o(d) = -d**3 - 7*d**2 - 6*d - 3. Let b be o(-6). Let l be -6518*b/1572 - -1. Let a = l - -8/131. What is the common denominator of a and 47/10?
10
Let z = -1184 + 1280. What is the smallest common multiple of z and 60?
480
Suppose -17 = -3*x + 4*v, 0 = v + 3*v + 8. Suppose 4*u - x = 9. What is the lowest common multiple of u and 11?
33
Let n = -398228665/5284 + 75365. Let y = n - -230039/195508. Find the common denominator of 56/3 and y.
222
Let h be 3/((-72)/(-127509)) + 1. Let a = 5323 - h. Calculate the common denominator of a and 52/3.
24
Suppose -60 = -2*v - m, -5*m + 31 = 2*v - 29. What is the smallest common multiple of v and 9?
90
Suppose 0 = -4*n + 2*n + 36. Let u = -4252 + 4253. What is the smallest common multiple of n and u?
18
Suppose 2*u - 30 = -5*v, 0*v - 5*u - 24 = -4*v. Calculate the smallest common multiple of v and (2 + 56/(-20))*-30.
24
Let t = -105/8 - -115/8. Find the common denominator of -83/34 and t.
68
Let p = 277197/20 - 13854. Let g = -9109/2398 - 126/109. Find the common denominator of g and p.
220
Suppose 0 = 40*u - 908 - 1492. What is the least common multiple of u and 24?
120
What is the common denominator of -23/285 and 12 - ((-9911)/(-330) - 13)?
570
Let m = -115 - -165. Suppose -2*u - 3*u = m. Let d = -4 - u. Calculate the lowest common multiple of 8 and d.
24
Let x = 63 - 75. Calculate the common denominator of 21/20 and (0 - (-4)/x)*54/(-128).
320
Let t(j) = 6*j + 168. What is the least common multiple of 8 and t(-17)?
264
Let x(o) = -2*o**2 + 7*o - 1. Let n be x(3). Suppose n = p - 6. Calculate the smallest common multiple of 8 and p.
8
Suppose -31 = -i - 4. Suppose -6*z - 105 = -11*z. Calculate the lowest common multiple of i and z.
189
Let u be (-1 - (-5)/2)*-4. Suppose -m + 209 = 4*m + 4*t, t - 221 = -5*m. What is the smallest common multiple of u/m + (-608)/(-60) and 4?
20
Let t = -18 + 64. Suppose -i - 4*d = 2*i - t, -70 = -4*i - d. Calculate the least common multiple of ((-192)/(-21) - 8)/(4/14) and i.
36
Calculate the common denominator of -73/28 and 4 + (18/(-120))/(54/1905).
168
Let z = -9 + 31. Suppose -45 = -2*d + h - 5, -4*h - 88 = -4*d. Calculate the lowest common multiple of z and d.
198
Let h = -4 - -40. Suppose h = 4*s - s. Calculate the smallest common multiple of s and 12.
12
Let h = 121895969/36 + -3385573. Let l = -3902/9 + h. Find the common denominator of 103/18 and l.
36
Suppose -233 - 1431 = -16*y. What is the smallest common multiple of 2 and y?
104
Let o = 1469 + -23435/16. Find the common denominator of o and 137/24.
48
Calculate the smallest common multiple of 56 and (10/(-35))/(-1) + (-5700)/(-42).
952
Let b = 929 + -892. Calculate the lowest common multiple of 407 and b.
407
Let z(n) = -8*n - 18. Suppose 0 = 5*s - 5*r - 80, 4*r + 0*r = -2*s + 56. Calculate the least common multiple of z(-4) and s.
140
Suppose -4*q + f = -86, 10 = -0*f + 5*f. Calculate the smallest common multiple of q and 2.
22
Let w = -100 + 129. Suppose -81 - w = -5*h. Calculate the lowest common multiple of 18 and h.
198
Let q = -3295 - -59249/18. Let c be 6/2 + (-209)/(-11). Find the common denominator of ((-8)/32)/(c/(-244)) and q.
198
Suppose 2*s + 30 = 4*x, -4*s + 4 = x + 1. Suppose -t - 4 = 0, 0 = -369*f + 374*f - 2*t - 373. What is the smallest common multiple of x and f?
511
Suppose 9 - 32 = -2*g + 3*v, g - 4*v - 24 = 0. Suppose -2*j = -g - 0. What is the smallest common multiple of -9 + 7 - (-22)/j and 8?
72
Suppose 0 = -7*d - 14 - 28. What is the smallest common multiple of ((-10)/d)/((-10)/(-12)) and 18?
18
Let l = -917 + 4616/5. Calculate the common denominator of (2 + 28/(-10))/(392/420) and l.
35
Let q(v) = v**3 - 4*v**2 - 2*v - 7. Let h be q(5). Calculate the common denominator of (-13)/(6/20*2) and 12/h*1/9.
6
Suppose 9*x + 4 = 10*x - 2*j, -12 = -2*x + 5*j. Calculate the common denominator of (x/32)/((-3)/(-46)) and 81/10.
60
Let o = 7 - 4. Suppose 8 = o*q + q. Suppose 15*n + q = 16*n. What is the lowest common multiple of n and 8?
8
Suppose -325 = 27*u - 22*u. Let m = 83 + u. Calculate the smallest common multiple of 3 and m.
18
Suppose 0 = 5*o - 3*b - 10, -3*b + 21 = 5*o - 19. Suppose 4*y + 4*u - 1944 = 0, 5*y = o*u + 620 + 1810. What is the lowest common multiple of y/15 - 2/5 and 14?
224
Find the common denominator of -55/3 and 12670/(-1320) - -8 - 2/24.
66
Let l = -79/26 + -577/39. Find the common denominator of l and -20/33.
66
Suppose 141 = m + 3*n, 8*n = 5*m + 3*n - 625. What is the lowest common multiple of m and 11*1 - (2 - 0)?
387
Suppose -5*q = -5*p - 31413065, 25130455 = -2*q + 6*q - 3*p. Let z = -125621809/20 + q. Let w = -1525 + z. Find the common denominator of w and -65/22.
220
Let q = 31 + -7. Suppose -3*x - 2*x = 0. Suppose x = -9*r + 93 - 3. What is the smallest common multiple of r and q?
120
Let c = -21 + 23. Suppose -5*s + 10 = -20. What is the lowest common multiple of s and c?
6
Let f = -211 - -369. Let y = 20 + -13. What is the lowest common multiple of (-1 - f/(-14)) + 4/(-14) and y?
70
Let x = -12 + 21. Let u = -7 + x. Suppose 4*m + m + 4*p = 11, 3 = 2*m + 3*p. Calculate the lowest common multiple of u and m.
6
Let y = -46 - -461/10. Suppose