05
Suppose 0 = -7*v + 4*v + 108. Suppose 393 = 23*c + 61*c - 783. Suppose -17*k + c*k = -v. What is the lowest common multiple of 36 and k?
36
Suppose o = 4*o - 3*w - 57, 0 = 3*w - 3. Suppose -5*l = -3*d - 14, -4*l = d - 8 - 10. Suppose d*z + o = 4*z. Calculate the lowest common multiple of 36 and z.
180
Let t be (-2)/(-5) + (-3)/(-5). Let q = 249629/20 - 12481. What is the common denominator of ((-67)/(-54))/(t/(-3)) and q?
180
Let r be 1/((-36)/(-62582)) + (-17)/(-51). Let d = 1738 - r. Find the common denominator of ((-26)/14)/(24/40) and d.
126
Calculate the smallest common multiple of (24/(-10))/((-4)/150) and 1998/185 - 11/(220/(-24)).
180
Let n be (-3)/(1 + (-3655)/3640). What is the common denominator of 0 - (n/40)/(18/(-15)) and 85/66?
66
Let a = 6 + 26. What is the common denominator of (-1)/(-5) + 2758/(-985) and a/18 - (-4)/12?
45
Suppose 589*n + 18 = 591*n. Let m(z) = 2*z + 8. Calculate the smallest common multiple of n and m(-3).
18
What is the common denominator of (-4)/(-252)*(-11175)/250 and -193/210?
210
Suppose -4*h + 6*h = -3*f + 8, f + 5*h - 20 = 0. Suppose -5*o - 14326 + 1771 = f. Calculate the common denominator of -65/18 and (-1)/12*o/(-36).
144
Let u(v) be the third derivative of v**4/24 + 19*v**3/2 - 25*v**2 + 1. Calculate the lowest common multiple of 56 and u(6).
504
Let v = 827/46 + -18. What is the common denominator of 107/14 and v?
322
Suppose 0 = -3*r + 24 + 15. Suppose a + 0*a = 160. Suppose 5*o + a = r*o. Calculate the smallest common multiple of 10 and o.
20
Let s = -511/100 + 154/25. Calculate the common denominator of s and -103/2624.
13120
Let z = -25358789/4602 - -167/767. Let t be 1055*(-2 - 48/15). Let i = z - t. Find the common denominator of i and -7/6.
6
Let r = 37 - 57. Calculate the common denominator of (-51)/(-180) - (-1)/4 and (-11)/(-11) - ((-54)/r)/1.
30
Suppose -75*b - 21333 + 4888 = -190*b. Calculate the lowest common multiple of b and 208.
2288
Suppose 1131 = 19*a + 865. Let t = -157 - -31. Calculate the smallest common multiple of 6 and (-36)/t - (-136)/a.
30
Let m(p) = -16*p - 58. Let k(j) = j**3 - 4*j**2 + 8*j - 39. Let a be k(4). Calculate the least common multiple of m(a) and 5.
270
Suppose -129*a + 65*a = -76*a + 324. Let d = -22 + 40. Calculate the least common multiple of a and d.
54
Let k be 2 - ((7 - 2) + -2). Let j be (-672)/(-1212) - (3 - k). Let s = 7237/1212 - j. Find the common denominator of s and -61/16.
48
Let s = -2492 + 54733/22. Find the common denominator of s and ((-3)/(-15))/((-6)/755).
66
Let g be 962194/(-567530) - 25/125. Let k = -2/2987 - g. Let u = k - 813/38. What is the common denominator of 71/4 and u?
4
Let b = -574763381/1558 + 368911. What is the common denominator of b and 5/228?
9348
Let s(b) = -b + 26. Suppose -4*i - 150 = -6*i. Suppose -4*l - l = -i. What is the least common multiple of s(l) and 26?
286
Let r = -88 - -194. Calculate the smallest common multiple of 25 and r.
2650
Let w = -4094159 - -11373573821/2778. Calculate the common denominator of w and -44/21.
19446
Suppose -18 - 26 = -22*a. Calculate the lowest common multiple of 11 and a - -23 - (2 - 7).
330
Let p = 135 - 129. Calculate the least common multiple of 110/6 + (-2)/p and 18/2 + 2 + -5.
18
Let t = -6606 + 3971. Let c = -28940/11 - t. Calculate the common denominator of 109/60 and c.
660
Let k(c) = 2*c**2 - 187*c + 2112. What is the smallest common multiple of k(12) and 140?
5460
Suppose 5*r - 122 = -4*k, 4*k - 4*r + 148 = 9*k. Calculate the lowest common multiple of 141 and k.
3948
Let r = 19/37 - 2271/1036. Let b = 17805/112 - 1073/7. Find the common denominator of r and b.
112
Let u = 35013 + -12884797/368. What is the common denominator of u and 64/115?
1840
Calculate the common denominator of -10 + (-13225)/(-1275) + 0 and -70/1917.
32589
Suppose -5*j + 82 = -98. Suppose 2*v - 106 = -5*x, -5*v - x + 107 = -135. Calculate the lowest common multiple of v and j.
144
Suppose -6*y - 4*y + 320 = 0. Find the common denominator of 57/40 and -13*2/y*(-4)/7.
280
Let d(r) = -448*r - 816. Calculate the lowest common multiple of 144 and d(-3).
1584
Suppose -51*l = -53*l - 462. Let q = -1777/8 - l. Find the common denominator of 3/26 and q.
104
Let f = 6 + -5. Calculate the lowest common multiple of 24/(f + -5) + 147 and 9.
423
Let a = 28266 + -480553/17. Suppose -w - 6 = 2*w. Calculate the common denominator of a and (-4 - w) + (-4)/(-16).
68
What is the common denominator of (8/((-4)/1))/(15*(-8)/402) and 149/2058?
10290
Let r = -263743/14 + 911978/63. Suppose 15350 - 2243 = 3*s. Let u = s + r. Find the common denominator of 29/6 and u.
18
Let g(t) = t**2 + 33*t - 26. Let d be g(-34). Let x = 9 - 3. Calculate the lowest common multiple of d + (-12 - 54/(-9)) and x.
6
Suppose 2*c - 5 = 3, -3*d + 398 = 5*c. What is the lowest common multiple of d and 34 + 2 - 3860/(-193)?
504
Suppose -h - 9 + 51 = -u, 0 = -4*h - 2*u + 186. Let s = h + -43. Let c(x) = x**2 + 2*x - 4. Calculate the lowest common multiple of 13 and c(s).
52
Let d = 6319 - 6255. Suppose 5*i = 2*j - 153, j + 2*i - 36 = 18. Calculate the least common multiple of d and j.
64
Suppose -5*d - 43 = -3*a, -5*d - 20 = -a + 11. Let u(z) = 4*z**2 - 4*z - 1. What is the smallest common multiple of a and u(2)?
42
Let t = -107 + 110. Suppose -3*q - 33 = 2*b - 237, 4*q + t*b - 273 = 0. Calculate the least common multiple of q and 42.
462
Let j = -12 - -29. Let y(s) = -s**2 + 17*s - 49. Suppose 0 = -2*r - 4*b + 20, 2*r + r + b - 35 = 0. Calculate the smallest common multiple of j and y(r).
187
Calculate the common denominator of (-332)/792 + (-1)/3 and (176/(-77) + 2 + 135/(-21))/(-2).
1386
Suppose -5*p + 2*t - 999 = 0, 8*t = -3*p + 6*t - 609. Let u = p - -1207/6. What is the common denominator of -41/18 and u?
18
Let k(z) = z**3 + 9*z**2 - 8*z - 8. Let t = 1561 + -1550. Calculate the lowest common multiple of k(-5) and t.
132
Find the common denominator of (180/189)/(-10) - 6/((-15036)/542) and -67/36.
6444
Let v = 1/2457726 + 24030807/716836750. Calculate the common denominator of -18/875 and v.
2625
Let s(a) = 8*a - 166. Let w be s(21). Suppose -3*l + w*l = -2*x - 15, 5*l - 4*x = 69. Find the common denominator of 65/2 and l.
2
What is the lowest common multiple of 300 and (420/(-24))/1*(-48)/14?
300
Suppose -a + 3*a - 788 = 0. What is the lowest common multiple of (-1)/((-1)/(-3) - (-14)/(-24)) and a?
788
Let m = 8744945/12 - 727001. Let t = -1742 + m. What is the common denominator of -49/31 and t?
372
What is the lowest common multiple of 14*(790/20 - -10) and 693?
693
Let m = -38149131/2057 + 18546. What is the common denominator of -129/1870 and m?
20570
Let t = 9032 - 20191. Let b = t + 312405/28. Calculate the common denominator of 7/12 and b.
84
What is the lowest common multiple of 60 and ((-1)/1)/((-8)/(-48900)*30/(-24))?
9780
Let r = -11927/64532 - -146/663. Find the common denominator of 137/1314 and r.
2628
Let c be 1/(-10)*((-68607)/(-14) - 3). Let h = c + 504. Calculate the common denominator of h and 57/20.
20
Suppose -66*p = -39*p - 162. Let v(n) = -n**2 - 9*n - 10. Let m be v(-8). Let h(r) = 3*r**2 + 2*r + 2. Calculate the smallest common multiple of p and h(m).
30
What is the common denominator of (14/(-56))/(475/520) and -37/187?
17765
What is the common denominator of (-748495)/(-1508650) + (-36)/78 and -113/2532?
12660
Let x(p) = 37*p**3 - 4*p + 3. Suppose -f + i + 68 = -9, -f + 3*i = -79. Calculate the lowest common multiple of x(1) and f.
684
Let q(o) be the second derivative of -17*o**3/6 - 39*o**2 + 59*o. Calculate the least common multiple of 4 and q(-6).
24
Let x = -18115/57732 + 1/19244. What is the common denominator of x and -43/1086?
18462
Suppose 2 = -o, -2*w = 3*o - 46 + 24. Calculate the smallest common multiple of 1168 and w.
8176
Find the common denominator of 73/10 and (-4)/1014*(-29)/(-116).
5070
Let u be -1 - (-1 + 1) - -1. Suppose u = 2*h - 7 + 1. Let g(j) = 11*j**3 - 48*j**2 - 34*j + 11. Calculate the least common multiple of h and g(5).
48
Let k = -1/96 + 505/96. Let y be -4 - 310959/(-62888) - (-12)/(-21). Let r = y + 2/1123. What is the common denominator of r and k?
8
Let g be (-12)/(-20)*12*150/9. Let n = 0 + 0. Suppose -6*w - 6*w + g = n. Calculate the smallest common multiple of 28 and w.
