e 4*s - 20 = d, 7*s = 2*d + 10*s + 62. What is the least common multiple of b(d) and 34?
170
Suppose 8*l - 8 = 4*l. Suppose -71 = -5*m - l*y + y, 0 = -4*m + 3*y + 53. Calculate the smallest common multiple of 32 and m.
224
Calculate the common denominator of (-12)/(-15) - 6/(-16) and 44/2505.
20040
Suppose 5*k = y + 75, 4*y + 1 = 5*k - 89. Calculate the smallest common multiple of k and 872.
6104
Let z = 26431 - 25571. Calculate the smallest common multiple of 2580 and z.
2580
Let u = 161 - 279. Let h = u + 140. What is the lowest common multiple of h and 14?
154
Suppose -544 = d - 5104. Let k be (-90)/d*((-1772156)/801)/2. Let c = k + 1/6764. What is the common denominator of 45 and c?
6
Suppose 199*x - 87765 - 56379 = 173*x. What is the smallest common multiple of 12 and x?
5544
Let c be (-10)/202*36/(-20). Let k be 12574/2828 + (-85)/34. Let z = k - c. What is the common denominator of z and -2/9?
63
Let d = 24431/62730 + -2/3485. Suppose -3*t - 4*r + 2876 = 0, r + 2*r = -5*t + 4797. What is the common denominator of (69 + -1)*18/t and d?
360
Let r = -692305/27 - -25639. What is the common denominator of r and 11/622?
16794
Let o(c) = -c**3 + 3*c**2 + 2*c + 3. Let g be o(4). Let s be ((g + 3)/1)/(-1). Calculate the lowest common multiple of 32 and (-188)/(-32)*s + 2/8.
96
Calculate the common denominator of 25/20808 and (-1)/((-10)/(-385)) + (-55)/5.
20808
Let d = -6/2093 + -119253/16744. Calculate the common denominator of d and (980/(-120))/(128/(-12)).
64
Let f be (-6)/2*(-3 - 43510/(-14505)). Let c = 33847/1934 - f. What is the common denominator of 150/4*(-2)/170 and c?
34
Let d = -5821 + 6020. What is the least common multiple of d and 2?
398
Let q = 6008 - 5986. Let j = -12 - -32. Calculate the least common multiple of q and j.
220
Suppose 0 = -a + 2*t + 323 + 486, 4*a = -5*t + 3145. What is the smallest common multiple of a and 150?
7950
Let x = -77 + 88. Suppose 4*m = x*m + 56. Let a(z) = -z**3 - 6*z**2 + 14*z - 4. What is the smallest common multiple of 2 and a(m)?
12
Let y = 291/8 + -18337/504. What is the common denominator of -67/63 and y?
126
Suppose 25*x - 42*x + 187 = 0. Suppose -41 = -5*a + x*y - 7*y, -4*a + 33 = -3*y. What is the lowest common multiple of a and 7?
63
Let k(u) = -u**3 + u**2 + 12*u + 29. Let a be 5*((1 - 4) + 2). Calculate the smallest common multiple of k(a) and 28.
476
Let a(s) = 4*s + 52. Let i be a(-8). Find the common denominator of (-1232)/(-98)*14/i and 25/12.
60
Suppose 0 = -i + 4*y + 24, 0 = -3*i - 47*y + 44*y + 27. Let u(b) = -b**3 + 5*b**2 - 3*b - 1. What is the lowest common multiple of u(4) and -183*(-2)/i - 10/20?
30
Let v = -10/1379 - 42449/41370. What is the common denominator of v and -67/459?
4590
Let t = 10046786/981 + 7731885892/2943. Let r = 2636973 - t. Let i = r - -481. Find the common denominator of i and 173/30.
270
Suppose 6479 = -3*v - 4*q, q - 685 + 5006 = -2*v. Let s = v + 4101. What is the common denominator of 2/4 - s/80 and -123/40?
40
Let q be -6 - -3 - (-663 - 4/(-2)). Let k = -5897/9 + q. Let t = -2263 + 24872/11. Calculate the common denominator of t and k.
99
Let o = 2 + 1. Suppose l - 5 = -9. Find the common denominator of (-27)/8 + l/12*o and -58/21.
168
Let o be (-192)/32 - (-741)/(-2). Let r = 20983/56 + o. What is the common denominator of 54/35 and r?
280
Let b = 779183/187 + -4167. Calculate the common denominator of b and -17/110.
1870
Suppose -205*l + 4*j - 616 = -209*l, 2*l - 280 = 5*j. What is the lowest common multiple of l and 72?
1800
Suppose 5*q + q - 198 = 0. Suppose -a + 13 = -y, -2*y - 3*a = 2*a + q. Find the common denominator of -22/21 and (-4)/y - (376/924 - -2).
231
Let z(k) = -14*k + 323. What is the least common multiple of z(-1) and 8?
2696
Suppose 6*o = -11 + 41. Suppose 2*a + 10 = -b + a, o*a + 2 = -b. Let c = 14 + b. Calculate the least common multiple of c and 12.
12
Let l = 578 + -6953/12. Find the common denominator of -39/68 and l.
204
Let r = -7834 + 55966/7. Let g = r - 14551/84. Calculate the common denominator of -67/21 and g.
84
Let f = 2453 + -9023/2. Let c be (76643/(-28))/(6/(-15) + 234/135). Let b = f - c. Calculate the common denominator of 37/7 and b.
112
Suppose 2*p = -66 + 26. Let o = p - -34. Suppose o = 9*z - 58. Calculate the smallest common multiple of z and 6.
24
Let q = -2655925/267828 + -3/22319. What is the common denominator of 3 - (-1 - (-206)/60) and q?
60
Let b = -3781/352 - -91/11. Calculate the common denominator of b and -95/196.
1568
Let f = -3838982219/696 + 5515782. Let y = f - 36/29. Find the common denominator of y and ((-4)/(176/150))/(36/(-48)).
264
Let q(x) = 18 - 39 + 25*x + 2 - 18. What is the smallest common multiple of q(5) and 22?
88
Let u = -19698 + 19714. What is the smallest common multiple of 1116 and u?
4464
Let t(v) = -8*v. Let i(a) = a**3 + 12*a**2 + 19*a - 17. Let o be i(-10). Let r(b) = -6*b - 26. Calculate the lowest common multiple of t(-3) and r(o).
48
Let y = -1/20040 - -417503/60120. What is the common denominator of y and (-126)/16*70/42 - -5?
72
Suppose 0 = 2*w - 0*w, -4*f - 4 = 2*w. Let n(v) = -2*v + 8. Let x be n(-4). Calculate the common denominator of -17/9 and f + (-15)/(-7)*x/(-24).
63
Let a = -7960/9 - -1265048/1431. Let r = a - -1/159. What is the common denominator of r and (-170)/18 - (-10)/4230*47?
27
Let x be 42/4 + 4/(-8). Calculate the common denominator of 6/(126/57) + 6/(-4) and 2/12*(-198)/x - 3.
70
Calculate the common denominator of -29/1179 and 7/(141218/(-9360)) - (1955/(-119) + 16).
12969
Suppose 0 = -8*a + 13*a - 10. Suppose 464 = a*f + 442. Calculate the lowest common multiple of 99 and f.
99
Let k = 164936 + -164924. Suppose 256 = 3*s + u - 3*u, 236 = 3*s + 2*u. What is the lowest common multiple of s and k?
492
Let g be (-2)/(-4) + (-5247)/(-18). Let j = g + -280. What is the smallest common multiple of 3 and j?
12
Let v(r) be the first derivative of r**3 + 7*r**2/2 - 20*r + 75. Calculate the least common multiple of 15 and v(-5).
60
Let q(z) = -z**3 + 9*z**2 + 20*z + 30. Let c be q(14). What is the smallest common multiple of 188 and (24/9)/(-4 + c/(-165))?
2068
Let y be -795*(-5)/((-625)/(-70))*80/24. Let j = 258608 + -2828335/11. Let h = y - j. What is the common denominator of h and 52/17?
187
Suppose 173 = -4*n - 2*d + 251, -3*n + 4*d + 86 = 0. Let b(c) = -c**2 - 9*c - 8. Calculate the lowest common multiple of b(-5) and n.
132
Let u(b) = b**3 + 32*b**2 - b - 236. What is the lowest common multiple of 147 and u(-31)?
5292
Let q be 31552/(-42) + 1 - (-12)/(-28). Let k = q + 758. What is the common denominator of k and (3/(-24))/((-3)/(-231))?
24
Let t(j) = 15*j - 260. What is the least common multiple of t(26) and 80?
1040
Suppose -4*m + 2*d + 7 = -11, 5*m + 2*d = 0. Let f be (3/(-1) + m)/(180/1625229). Let j = f + 9031. Calculate the common denominator of j and -163/90.
180
Calculate the smallest common multiple of 2694 and (864/(-336))/(1/(14/(-3))).
5388
Let p = -1141 - -1143. Suppose -6*d = -7*d + 201. Suppose 0*t + t = -3*g + 303, -2*g - t + d = 0. What is the least common multiple of p and g?
102
Let y(v) = 26*v + 17 + 39*v - 58*v - v**2. Let f be y(10). What is the smallest common multiple of 14 and f/(117/12)*(-6)/4?
14
Suppose 0 = 1773*q - 1724*q - 15974. What is the least common multiple of 58 and q?
9454
Let c be (-793)/(-39) + 6/9. Find the common denominator of 27/c - 4/(-3) and -31/21.
21
Let c = 14 + -6. Suppose 24*o - u - 9 = 19*o, -11 = -3*o - 5*u. What is the smallest common multiple of c and o?
8
Suppose -3*j + 25154 - 725879 = 0. Let y = j - -2564419927/10979. Let w = 1240607/109790 + y. Calculate the common denominator of w and -123/10.
10
Let b(n) = -n**3 + 83*n**2 - 115*n - 3667. What is the lowest common multiple of 385 and b(81)?
1540
Calculate the common denominator of (15 - 96/(-9))/6 and 131/1746.
1746
Let v = -568389253631872/64155 - -8859625183. Let z be ((-209)/(-893))/(1 + 20). Let h = z + v. Find the common denominator of h and -9.
65
Let h = -18031054/263 - -68559. What is the common denominator of -55/2 and h?
526
Calculate the common denominator of (-2447)/(-420) - (21 - 15) and 59/100.
2100
Let u(c) = -25*c - 231. Let r be u(-20). Let f = 287 - r. Calculate the smallest common multiple of (-3)/(15/12 - 2) and f.
