st common multiple of 54 and f.
1404
Let r be (6 + (-66)/12)/(2/16). Let m = 2 + -1. Suppose -r = -3*f - m. Calculate the least common multiple of f and 6.
6
Let m be (1864535350/36)/(-5) + -1. Let p = m - -10363447. Let s = p + -4915. What is the common denominator of 7/38 and s?
342
Let k = 1400 - 6962/5. Calculate the common denominator of 41/4 and k.
20
Let m(d) = -d**3 - 6*d**2 - 10*d + 12. What is the least common multiple of m(-4) and 6?
60
Let i be (-3)/3*(-841720)/144. Let n = -5848 + i. Let f = -1374 + 9585/7. What is the common denominator of f and n?
126
Suppose -2*i + 34 = 2*u, 2*i + 0*u - 2*u - 46 = 0. Let w = -4 - -15. Let t = 3 + w. Calculate the lowest common multiple of i and t.
140
Let i = 33499/9520 + 26/595. Let x be ((-54)/(-22))/((-24)/159). Let w = -216/11 - x. What is the common denominator of w and i?
16
Suppose 14*c - 87 = 67. Calculate the least common multiple of 627 and c.
627
Suppose 23 = 6*v - 13. Calculate the least common multiple of v and 9.
18
Suppose -2*i - i = -m - 173, -i = -2*m - 51. Let a = -41 + i. Calculate the lowest common multiple of 12 and a.
36
Suppose -5*t = 5*t - 3700. Calculate the common denominator of -4 + (t/(-36))/(-5) and (-90)/(-8)*(-2)/(-24).
144
Let o(y) = y**3 - 13*y**2 + 13*y - 5. Let c(l) = -l**2 - 10*l + 23. Let i be c(-11). Calculate the least common multiple of 1 and o(i).
7
Let j = -111 + 18. Let s = 104 + j. What is the lowest common multiple of s and 1?
11
Let n be ((-4)/(12/111685))/(-4). Let q(z) = 1163*z**3 + 4*z**2 - 2*z - 2. Let d be q(2). Let k = d - n. What is the common denominator of k and -89/10?
60
Let l = 81 + -83. Let o(q) = -10*q - 2. Calculate the least common multiple of 132 and o(l).
396
Suppose 2*w + 0*w = -2*g + 10, 0 = 5*w + 4*g - 27. What is the lowest common multiple of -4 + -3*15/(-5) and w?
35
Suppose p = 3*p. Suppose -8*n + 24 + 56 = p. Calculate the lowest common multiple of 9 and n.
90
Suppose 2*h + h + 9 = 5*k, 4*h = -k - 12. Find the common denominator of ((-69)/8)/h - 4 and 19/2.
8
Suppose k + 2*k + 3*f - 36 = 0, -f - 78 = -4*k. Suppose 2*l - 2 = 5*r - 162, -5*r = 5*l - 125. What is the least common multiple of r and k?
90
What is the smallest common multiple of ((-120)/(-160))/((1/116)/1) and 21?
609
Calculate the common denominator of -5*1 + 5*(-644)/(-660) and 25/171.
1881
Let v = 586572 - 483335227/824. What is the common denominator of 41/22 and v?
9064
Let g(n) = 4*n + 47. What is the lowest common multiple of g(-8) and 24?
120
Calculate the smallest common multiple of 1/(2/30)*470/282 and 40.
200
Let m = -339815455 + 263017126943/774. Let g = m - -5/387. Calculate the common denominator of (2 - (-51)/(-21)) + -1 and g.
14
Suppose 5*x - 9*x = -2*z - 30, 3*x + 4*z = 28. Suppose f - 72 = -x*f. Calculate the lowest common multiple of f and (-2)/3 - (-58)/6.
72
Let q be 22556/10 + 4/10. Let k = q - 29288/13. Calculate the common denominator of -42 and k.
13
Suppose -3 = 2*f - 3*o - 13, 4*f + 5*o + 2 = 0. Calculate the smallest common multiple of 226 and f.
226
Let z = 223 - 114. Let b = z - 78. Let f(t) = -t**3 - 25*t**2 + 25*t - 25. Calculate the lowest common multiple of b and f(-26).
31
Let q be (-4713)/(-7038) + 2/(-3). Let i be (21/(-345))/((-204)/33245). Let n = i - q. Find the common denominator of 59/10 and n.
60
Suppose 2 = x + 1. Let a be (-3)/((-1)/1) - x. What is the least common multiple of 20 and 6/((-10)/6 + a)?
180
Suppose 0*o = -4*o + 20. Let g be (-1 - 6/(-2)) + -42. Calculate the least common multiple of o and g/(-10) - 0/(-1).
20
Let n = 92 + -76. Calculate the lowest common multiple of ((-28)/21)/(3/(-45)) and n.
80
What is the common denominator of -7/3 and 14828/693*(-6)/(-68) + -2?
357
Let w(o) be the third derivative of o**6/120 + o**4/24 + 4*o**3 + o**2. Let v be w(0). Let h = v + -10. What is the least common multiple of h and 2?
14
Let y = -1937057/116 - -16699. Find the common denominator of 29/4 and y.
116
Let y be (0 - 1)*(32 - 34). Suppose 2*d + 4*n = -0*d, -2*n = -y*d + 6. Calculate the lowest common multiple of 4 and d.
4
Let h = 67991 - 5983115/88. Find the common denominator of h and -53/208.
2288
Let l(z) be the second derivative of -z**4/12 + 3*z**3/2 - 9*z**2/2 - z. Suppose 4*n - 8*n + 40 = 0. What is the lowest common multiple of n and l(7)?
10
Let h = 55 - 35. Suppose 12 = -2*o + 44. Calculate the smallest common multiple of o and h.
80
Let l(j) = j**2 - 5*j - 5. Let p be l(-5). Suppose 18*z - p = 17*z. What is the smallest common multiple of 12 and z?
180
Let u = 335 + -223. What is the common denominator of -97/6 and (1 - -1)*u/(-350)?
150
Suppose -9*b + 22 = 4. Suppose 2 = 4*x - 6. What is the smallest common multiple of b and (-16)/20*(-25)/x?
10
Let x(q) = -q**3 + 2*q**2 + q + 4. Let b be x(3). Let m = 29/32 + 959/160. What is the common denominator of m and (-442)/96 + b/6?
80
Let i(u) = -155*u - 244. Calculate the lowest common multiple of i(-6) and 8.
2744
Suppose -3*k - 58 = -c + 64, -3*c = -5*k - 202. Find the common denominator of (1 - (-118)/20) + 2 and k.
10
Let o = -18 + 15. Let h = 5 + o. Suppose 2*l - h = 10. What is the least common multiple of 8 and l?
24
Suppose -2*r + 8*r = -18. What is the common denominator of (-10)/30*(-2)/(-8) and 292/72 - r/(-9)?
36
Let a = 69621679/193 + -360735. Let x = -86006156249/3474 - -24757092. Let t = x + a. What is the common denominator of 97/4 and t?
36
Let a = 259 - 243. What is the smallest common multiple of 28 and a?
112
Let o(h) = 2*h - 14. Let p be o(12). Let y be (-3)/15 - 88/p. Find the common denominator of (-2 - y/6)/(-10) and 1/12.
60
Suppose 2*z - v = 25, -z - 3*z = -5*v - 65. Let h = 13 - 25. Calculate the smallest common multiple of z and 6/5*(-80)/h.
40
Find the common denominator of (213/10)/((-186)/155) and 8/33.
132
Let w be -14 + -8 + -5*1. Let u = w + 54. Calculate the least common multiple of u and 27.
27
Let i(w) = 2*w**3 + 13*w**3 - 11*w**3. What is the smallest common multiple of 4 and i(1)?
4
Find the common denominator of -34/21 and (-4 + 156/27)*24/28.
21
Let x = 2/2099 - -77645/18891. Let d be (0 - 3)*(-1086)/(-288). Let m = 17/16 - d. Calculate the common denominator of x and m.
72
Suppose -2*j = -z + 7 + 1, 5*j + 13 = -z. Let t be 1 + (-5)/(10/24). Find the common denominator of -10/11 and t/((-308)/192) + j.
77
Suppose 0 = i + 4*k - 8, 1 + 7 = i - 2*k. Let d(l) = -l + 20. What is the smallest common multiple of d(i) and 6?
12
Let b be 12/(-78) + 128/(-13). Let s = 6 - b. Suppose z + 2*l - s = 0, 3*l + 11 = 3*z - z. What is the lowest common multiple of z and 14?
70
Let u = -197 - -211. Suppose 0 = 3*c - 9, -c = -2*g + g + 4. Let d = 27 - g. What is the smallest common multiple of d and u?
140
Suppose 4 + 4 = 2*v + 4*b, 3*b = -9. What is the lowest common multiple of 8 and v?
40
Suppose 5*t = -0*h - 4*h + 32, 3*h - 29 = -5*t. Let m(c) = -c + 6. What is the least common multiple of m(h) and 4?
12
Calculate the common denominator of (33/(-55))/(9/6) and 11/183.
915
Let g be -2*2 + (-5 - -121). Find the common denominator of -83/8 and ((-8)/g)/((-2)/(-94)).
56
What is the common denominator of ((-4)/(-80))/(2/(-348)) and (23/6 - 4)*82/(-2)?
30
What is the common denominator of -109/6 and (-3 + -2)*88/(-30)?
6
Calculate the common denominator of 58/5 and ((-1)/(-4))/(2/((-468)/(-5))).
10
Find the common denominator of 101/4 and (-21)/147 - (-1074)/560.
40
Let k = 2/49641 + -4219529/1092102. What is the common denominator of k and -13/40?
440
Let f be (2*-5)/(36/3945). Let m = 507/2 + f. Let q = m + 10369/12. Find the common denominator of 49/10 and q.
20
Let y = -54121/1008 + 871/16. What is the common denominator of 79/42 and y?
126
Suppose -3*x = o + 11, -3*x - 45 = 2*x - 5*o. Let p(a) = -a**2 - 8*a - 7. What is the lowest common multiple of 26 and p(x)?
104
Suppose 0 = 4*j - 2*g - 1570, -36 = 2*j - 5*g - 825. What is the least common multiple of 84 and j?
1176
Let m be (-2)/(-5) + 51/(-15). Let h = m + 11. Let o(q) = 5*q + 6. What is the least common multiple of 8 and o(h)?
184
Let o = -16392 + 295135/18. Suppose -96*v + 1176 = -138*v. Calculate the common denominator of o and v.
18
Let p(b) = 24*b - 216. What is the lowest common multiple of 42 and p(10)?
168
Suppose 16 = i + 3*l, -5*i + 30 = -2*i + 3*l. What is the l