4.
15140
Let o(u) = -u**2 - 7*u + 11. Let y be o(-8). Suppose -y*s = 95 - 455. What is the smallest common multiple of s and 10?
120
Suppose u + u - 4*s - 102 = 0, 4*u - 224 = -2*s. Suppose 53*a = u*a - 4. Find the common denominator of 39/8 and -3 - 106/16 - (a - 4).
8
Let n = -20603 + 1936723/94. Find the common denominator of (-3)/(-4)*(-1081)/(-414) - -2 and n.
1128
Let v be 0 + (-966)/3 - 0. Let l = -245 - v. Calculate the lowest common multiple of l and 33.
231
Find the common denominator of 23372/15752 + (-51)/34 and 55/1611.
17721
Let y(z) = -2*z**2 - 102*z - 196. What is the smallest common multiple of y(-38) and 132?
792
Calculate the common denominator of 144/(-16) + (-6168)/(-960) and -121/1060.
2120
Suppose 4*t - 19 = 61. Suppose c - 5 = -0*c - 4*q, -t = -4*c + 2*q. Suppose 0 = -s + 6 + 3. What is the smallest common multiple of c and s?
45
Let j be (100/(-30) + 3)*-60687. Let d = 525875/26 - j. Find the common denominator of d and 87/26.
26
Suppose -5*q = -25, -5*g - 5*q - 1 + 36 = 0. Let j(p) = p**2 - 3*p + 3. Let u(o) = 2*o. Calculate the smallest common multiple of j(g) and u(2).
4
Suppose 0 = -t + b - 14, -46 = 3*t - 7*b + 2*b. What is the smallest common multiple of 20 and 9/(t/4) + 17?
140
Suppose -66*f - 51*f + 53820 = 0. What is the least common multiple of f and 4?
460
Let w = 333/5 - 11084/165. What is the common denominator of -121/480 and w?
5280
Let f = 309 - 304. Suppose -5*x + 53 = f*j - 87, 0 = -j - 3*x + 24. What is the lowest common multiple of 18 and j?
90
Let v = -73 + 50. Let p = -21 - v. Suppose -5*x - p*c - c = -8, -2*c = 8. What is the least common multiple of 6 and x?
12
Suppose -2*j - 228 = -2*f, -456 = -4*f + 11*j - 13*j. What is the least common multiple of f and 72?
1368
Let m be 2 - (2 + 191883/126). Let l = -1523 - m. What is the common denominator of l and -31/14?
42
Suppose 4 = -5*v + v, -2*n = -2*v - 50. Suppose -134*d - 271 + 1410 + 1005 = 0. Calculate the lowest common multiple of n and d.
48
Let k(b) = -2*b**2 - 17*b - 10. Let z be k(-7). Let j(i) = i**3 - 9*i**2 - 23*i + 13. What is the lowest common multiple of 18 and j(z)?
18
Let w = 45943/14 + -3283. Suppose 2*o + j - 7813 - 262 = 0, -12115 = -3*o - j. What is the common denominator of w and (-4)/(-28) - o/(-2688)?
336
Let u = -8207/18 - -915/2. Let y = -1/8072 - -5928/1009. What is the common denominator of u and y?
72
What is the least common multiple of ((-9)/21)/(51/357) + 213 and 78?
2730
Let s(f) = -76*f**3 - 6*f**2 + 7*f - 1. Let y be s(1). What is the common denominator of -65/21 and ((-45)/(-60))/(91/y)?
273
Let d = 210 - 206. Suppose 4*v - 310 = -9*h + 10*h, -d*v + 4*h + 316 = 0. What is the lowest common multiple of v and 44?
308
Find the common denominator of 169/42 and 6867/(-23435) + 1 + 12/(-15).
1806
Let z = -730 + 736. Suppose -z*d - 5*c - 228 = -9*d, -5*d = 4*c - 417. What is the smallest common multiple of 10 and d?
810
Let b(p) = -23*p + 2. Let a be b(-1). Let d(w) = -w**2 - 8*w + 1. Calculate the smallest common multiple of d(-7) and (20/a)/(2/20).
8
Let u(x) = -4*x + 3. Let p = 2 + -5. Calculate the least common multiple of u(p) and 420/(-120) + 2396/72 - 2/(-9).
30
Suppose -164*r + 55042 + 60414 = 0. Calculate the smallest common multiple of r and 352.
704
Find the common denominator of ((-114927)/(-11493) + -10)/((-12)/(-171)) and 27/10.
25540
Find the common denominator of 75/(-40) - 150225/(-80600) and -11/558.
7254
Suppose 0 = 7*i - 5*i - 10. Suppose -i*u + 3*s - 7 = -30, 24 = 5*u - 4*s. What is the least common multiple of 5 and u?
20
What is the least common multiple of 5341 and 6/9 - 4*11/(-132)?
5341
Suppose 214*p - 807 = 210*p + m, 2*p + 4*m = 372. What is the lowest common multiple of p and 440?
2200
Let n(i) = 92*i**2 - 7*i - 19. Let s be n(-3). Let j = s + -802. What is the least common multiple of 70 and j?
140
Let c(i) = -4*i**3 + i. Let g = 106 + -107. Let f be c(g). What is the lowest common multiple of 18 and 28/f + 2/9*3?
90
Suppose -5*w + 8*w = -3. Let x be (-14)/(-21)*18 - (0 - w). Suppose -5*h + x = -9. What is the lowest common multiple of 4 and h?
4
Let g(o) = 3*o**3 - 6*o**2 - 9*o - 1. Let p be g(5). Suppose 2*c + 2*v - 68 = v, 5*c - p = 2*v. What is the lowest common multiple of c and 21?
105
Let x be ((-15)/4)/((-185)/(-40) - 5). Calculate the common denominator of -25/59 and (22/x)/((-23)/115).
59
Suppose -3*v + 3 = -c, -5*c + v = 3*v - 19. Suppose c*y + 0*y - 57 = -3*g, 9 = -3*g. What is the least common multiple of 4 and (y/8)/11 - 158/(-8)?
20
Find the common denominator of 85/24 and ((-2791692)/(-11504))/(-27) + 7/((-7)/(-9)).
17256
Let l be 202/616 - 41/164. Let f = l - 41/77. Calculate the common denominator of -19/40 and f.
440
Suppose -2*z + 0 = -30. Suppose -2*g + 68 = 2*c, -4*g + 2*c + 21 = -139. Find the common denominator of 61/10 and 12/z*g/28*5.
70
Let b(k) = k**3 + 28*k**2 + 22. Let o be ((-56)/6)/(19/57). Calculate the lowest common multiple of 38 and b(o).
418
Let g(i) = i**2 + 37*i + 79. Let s be g(-35). Let c = -10 - -37. What is the least common multiple of (s - 2)*((-6)/1)/(-2) and c?
189
Let i(h) = 17*h**2 - 31*h + 178. Calculate the least common multiple of i(9) and 232.
2552
Suppose 4*o + 2*t - 14 = 0, -13 = -5*o - 2*t + 4*t. Suppose o*u = -4*k - 7, 8 = -4*k - 5*u - 9. What is the lowest common multiple of (7/2 - 3)*10 and k?
10
Suppose -5223*r + 5228*r = 30. Suppose 2*h + 4*k = 18, -3*h - 3*k + 21 = -0*k. What is the least common multiple of r and h?
30
Suppose y + 3*a = 5 + 4, -y - 2*a = -9. Suppose -2084 = -6*o - 2024. What is the lowest common multiple of y and o?
90
Suppose 2*d + 3*b - 16 = 8, 0 = 5*b - 20. Suppose -103*u + 355 = -73*u - 245. What is the least common multiple of d and u?
60
Let y(b) = 4*b + 32. Let c be y(-6). Find the common denominator of -36/55 and c - 8 - (-61)/40.
440
Suppose -2*z = 4*g - 20, -4*z - 23*g + 34 = -18*g. Let p = z + -1. Calculate the least common multiple of 35 and p.
35
Calculate the lowest common multiple of (-22686)/(-135) + 16/40 - 12/27 and 8.
168
Let r(j) = 35*j - 2. Let v(p) = -p**2 - 4814*p - 28818. What is the lowest common multiple of v(-6) and r(4)?
690
Let t = -1671/155 - -49/31. What is the common denominator of t and 9/3190?
3190
Suppose 598902 = -42*j + 50046. Let v = j - -914727/70. What is the common denominator of v and 69/110?
770
Let l(d) = -3 - 4*d - 21 + 18 - 1. Find the common denominator of l(-13) and 47/432.
432
Let y(j) = -7*j - 3. Let p be y(-1). Suppose p*a = -v + 59, -6 = -5*v + 3*v. Suppose 11*c - a*c + 54 = 0. What is the lowest common multiple of 10 and c?
90
Find the common denominator of -6 + 5 + ((-480)/(-66))/(-5) and (-2)/8 - (-163)/(-36).
99
Let i(u) = u**2 - 2*u + 3. Let q be i(2). Let f be (-33)/(-5 - 6)*2/3. What is the least common multiple of 24 and -1 + q - (1 - (f + 0))?
24
Let f be (128/40)/(3/15). Calculate the lowest common multiple of 1 and -6 + (-294)/(-16) + (-6)/f.
12
Suppose 0 = 4*y + 5*h - 41 + 147, 4 = -2*h. Let r(l) = l**2 + l + 9. Let v be r(4). Let w = y + v. What is the least common multiple of 9 and w?
45
What is the least common multiple of 257 and ((540/16)/(-45))/(3/(-4))?
257
Let t = 23/48 - -13/6. Find the common denominator of -87/200 and t.
1200
Let x = 8072 + -7489. Calculate the least common multiple of x and 1113.
12243
Find the common denominator of 25/108 and ((15 - 11) + 82/3)/(16/6).
108
Let u(i) = -3*i**3 - i**2 + 2*i - 2. Suppose 24 = -5*x + 64. Suppose 4*b = -x - 0. Calculate the least common multiple of u(b) and 2.
14
Find the common denominator of -64/33 and 893/156 - (201 + -195).
1716
Suppose -599*g = -298*g - 287*g - 364. What is the least common multiple of g and 38?
494
Let j be (-1)/((-1)/(4/270)). Let s be (4/10)/(216/11602). Let f = j + s. What is the common denominator of -119/6 and f?
6
Find the common denominator of -36/157 and (534/(-21))/((1056/(-77))/8).
942
What is the smallest common multiple of 7 and 1/7 - (-3 - 78065/91)?
861
Let a(w) = 4*w - 1. Let o(x) = 99*x + 270. Let d(p) = 9*a(p) - o(p). Calculate the lowest common multiple of 22 and d(-6).
198
Let j(m) = 7*m**2 - 268*m - 138. Calculate the least common multiple of j(40) and 570.
1710
Let r = 62275486551/3938990 + 686/537135. Let t(b) = 5268*b - 7. Let m be t(-3). Let c 