Suppose 3*g + 14 = 4*r, 4*g + 4 = 3*r - 24. Let f(p) = -3*p - 20. What is the smallest common multiple of f(g) and 12?
60
Suppose 0 = 3*f - h - 16, -14*f + 16 = -9*f + h. Let a(j) = j**2 - 5*j - 2. Let t be a(5). Calculate the lowest common multiple of f + -1 + t/2 and 5.
10
Suppose 0 = -3*p - 15 - 1263. Find the common denominator of ((-1)/5)/(2/34) and (p/(-75))/((-16)/20).
10
Let p = 24900 - 16556. Let d = p - 66847/8. What is the common denominator of d and 21/11?
88
Suppose 13*t = 5*t + 112. Suppose 5*n + 90 = 15. Let j = 33 + n. Calculate the least common multiple of t and j.
126
Suppose -2*t = -3*t - 2*i - 18, -5*t - 4*i = 90. Calculate the common denominator of (2 - 3) + t/10 and (-3 - -1)/((-40)/18).
10
Find the common denominator of -137/156 and 10/((-80)/12) + 115/6.
156
Let b = -16828769/3403710 + 4036/9615. Let q = 126/59 + b. Let v = 2/12029 + 156345/192464. Find the common denominator of v and q.
144
Suppose 3 = -3*x - 0. Suppose 2*h = h. Calculate the common denominator of (-10)/(-9) + h + x and 31/10.
90
Suppose -5 = -2*l + 3. Suppose l - 2 = j. Suppose m - 2*i + 6*i = -4, 0 = j*m - 3*i - 47. Calculate the least common multiple of m and 2.
16
Suppose 0 = -2*f + 4*h + 136, -32*f + 28*f + h + 244 = 0. What is the smallest common multiple of 114 and f?
1140
Suppose -2*n = -3*p - 4, -16 = -6*n + 2*n + 4*p. Let r(q) = -5*q + 23. Let k be r(5). Calculate the least common multiple of n and (2 + (-1 - k))*6.
72
Let g = -804 + 6401/8. Calculate the common denominator of 107/110 and g.
440
Calculate the common denominator of 1*-5 - 3045/(-560) and 67/404.
1616
Suppose b = 12 - 8. Suppose 3*k - 37 = 11. What is the lowest common multiple of b and k?
16
Let w be ((-1)/1 + 4)/((-1)/(-8)). Suppose -3*x = -2*r - 4 + 2, x + 4*r - w = 0. What is the smallest common multiple of 7 and x?
28
Suppose -6*m + 8 = 62. Find the common denominator of -37/5 and (-3)/(-9)*3*57/m.
15
Calculate the common denominator of 430/(-297) - 8*2/88 and 77/15.
135
Suppose -5*t - 7 = -2*r + 17, -4*r = 12. What is the common denominator of (546/63)/(20/27) and 2/t - (-176)/42?
70
Suppose -q - 3*f = q - 1123, -5*f + 1685 = 3*q. What is the smallest common multiple of 1 and 1/(-3) - (q/(-12))/5?
9
Suppose 12*n + 827 + 709 = 0. Find the common denominator of 5/62 and 3/(-4) + (-8)/(n/244).
62
Suppose 3*u = 36 + 18. Let g = 38 - u. Let q(f) = f**2 - 7*f + 6. Calculate the least common multiple of q(8) and g.
140
Let d = 12 + -11. Suppose 3*v + 65 = -2*v + 5*r, 0 = -v - 3*r - d. Let h(x) = -x + 1. Calculate the lowest common multiple of 3 and h(v).
33
Find the common denominator of (-178)/(-480)*1 - (-347)/(-2082) and -127/480.
480
Suppose 5 + 11 = 4*b. Suppose -o - 2*v + 8 = 0, 5*v = -o + v + 16. Suppose o = 15*y - 22*y + 154. What is the smallest common multiple of y and b?
44
Suppose -4*q + d = 27, 24 = -2*q - 0*d + 4*d. Let x = 26 + q. What is the smallest common multiple of x and 7?
140
Suppose 48 = -17*h + 184. Let w = 15 + -8. Calculate the lowest common multiple of w and h*8/(-16) + 11/1.
7
Let o(j) = -j**2 + 6*j + 16. Let f be o(7). Let p(n) = -f + 3 + 3*n - 2. What is the least common multiple of p(6) and 8?
40
Suppose -16*v = -39*v + 920. Calculate the least common multiple of 55 and v.
440
Let q = 251 - 239. Suppose 0 = -2*c - 2*f + 24, 2*c - 18 = -5*f - 6. Calculate the lowest common multiple of q and c.
48
Let t = 276604/63 - 4390. What is the common denominator of t and 149/126?
126
Let j = 21077 + -1854643/88. Let r = 1160/891 - -5/81. Let z = j + r. Calculate the common denominator of -13/10 and z.
40
Let p(z) = -95*z - 158. Calculate the lowest common multiple of p(-2) and 84.
672
Let q(d) = d**2 - 7*d + 8. Let u = 31 + -28. Suppose 6*t - 2*t - 31 = -x, 3*t = -u*x + 21. What is the smallest common multiple of q(7) and t?
8
Let q = 339303694/762543 + -192528/439. Let a = q + 8/193. Find the common denominator of a and 49/15.
45
Suppose -r - 132 = -y, -16*r = 2*y - 11*r - 236. What is the lowest common multiple of y and 16?
128
Let q = -3249/10 + 328. What is the common denominator of q and ((-1)/(-10))/(2/216)?
10
Let p = -8979351/16 + 559675. Let v = p - -3073/2. What is the common denominator of v and -13/8?
16
Let n(f) = -2*f**3 + 20*f**2 + 21*f + 17. Calculate the least common multiple of n(11) and 30.
30
What is the least common multiple of 11 and (-2 - 4/(-3))/((-2)/129)?
473
Suppose -155 = -5*u - 5*c, 92 - 26 = 2*u - 2*c. What is the smallest common multiple of u and 144?
288
Suppose 0*l + 176 = 8*l. What is the lowest common multiple of l and 480?
5280
Suppose 0 = -h + 16. Let s = 15 - 1. Calculate the lowest common multiple of h and s.
112
Let r = -174/5 - -36. Let i be (-36)/10 - 16/40. Calculate the common denominator of r and 98*(i + 89/22).
55
Suppose g + 3*y = -2*y + 10, 0 = 3*g - 3*y + 6. Suppose g = -5*u + 4 + 21. Let n(w) = w**3 - 4*w**2 - 5. What is the least common multiple of n(u) and 6?
60
Suppose l - 3*w - 8 = 0, 12 = l - 4*w + 1. Find the common denominator of -13*(-7)/6 + 1 and 84/(-9)*l + 2.
6
Let h = -84 - -15. Let j = h + 77. What is the lowest common multiple of 2 and j?
8
Suppose 2*n = 2*l - 128, 3*l + 5*n - 316 = -156. Calculate the smallest common multiple of 56 and l.
840
Calculate the least common multiple of -4 + 17/4*8 and 210.
210
Suppose -3*z - f = -8*z + 1703, 1688 = 5*z + 4*f. What is the smallest common multiple of 1/((-1 - 0) + z/330) and 30?
330
Let d(c) = 2*c + 6. Suppose -29 = -h - 5*g, 3*h - g + 4*g - 27 = 0. Let u be 8/(-10)*(-30)/h. Calculate the smallest common multiple of 14 and d(u).
126
Let u be (18/12)/((-1)/6). Let v be -7*(u/(-3))/3. What is the common denominator of (-42)/4*15/v and -151/6?
6
Suppose 0 = k - 4*q - 47, 4*q - 3*q = 3. What is the smallest common multiple of 1 and k?
59
Calculate the least common multiple of (-2934)/(-27) + 11 - (-1)/3 and 68.
2040
Suppose 0*j + 4*j = 0. Suppose 3*p - 44 - 10 = j. Suppose -5*u - 20 = -110. What is the lowest common multiple of p and u?
18
Let r be ((-2)/(-60))/((-32)/(-10321840)). Let x = -10759 + r. What is the common denominator of x and 85/16?
48
Let p = -480/29 + 3863/116. Let j = -566387399/132 + 4290837. Let o = j + 13/44. Find the common denominator of p and o.
12
Let m = -25/24 + 889/792. What is the common denominator of m and 41/33?
99
Let o be (-3 + 45/20)*-144. Let a = -99 + o. Calculate the smallest common multiple of 7 and a.
63
Let j be (0 + (-3)/(-10956))/(-20282). Let q = 1140416665741/345535915560 + j. Let a = q - 2/4665. What is the common denominator of a and -79/2?
10
What is the lowest common multiple of 32 + (-1*12)/2 and 6?
78
Let j be -7 + 5 - 2145/(-1072). Let p = j - 79867/3216. Let l = 10/67 + 895/737. What is the common denominator of p and l?
66
Let y = -15 + 19. Suppose -y*n + 11 - 3 = 0. Suppose n = 3*v - v. What is the lowest common multiple of 22 and v?
22
Let g be 1/((-1)/(-6)) + 1. Suppose 0 = -g*h + 2*h + 90. Suppose k + 0 - 2 = 0, -d + 5*k = -8. What is the lowest common multiple of h and d?
18
Suppose 10 = 3*l + l - 2*v, 3*l - 11 = 5*v. Suppose 0 = -l*z - r + 34, 4*r - r + 78 = 4*z. Let o = -15 - -17. What is the smallest common multiple of o and z?
18
Let h = -156 + 225. What is the least common multiple of 6 and h?
138
Let c = -2791/418 - -221/19. Calculate the common denominator of -113/132 and c.
132
Let v = -385063313/768658 + 27/34939. Let s = 122 - 621. Let a = s - v. Find the common denominator of a and 79/14.
154
Suppose y - 1781828 = -3*y. Let q = 84191563/189 - y. Let j = -23/27 - q. Calculate the common denominator of 19/18 and j.
126
Let k = -1627 - -13057/8. What is the common denominator of 57/4 and k?
8
Let r be (-16)/(-3)*(-210)/(-28). Suppose -4*j - 8 = -r. Suppose -2*a - 4*k + 10 = -22, -3*k - 53 = -2*a. Calculate the least common multiple of a and j.
88
Let w be -2 - -1 - (9 + 479). Calculate the common denominator of w/(-18) + -3 + 1 and 93/8.
24
What is the smallest common multiple of 416/12 + (-1)/(-3) and 65?
455
Let z = -8 - -12. Let t(s) = 11*s + 11. Let a be t(0). Suppose z*h - a = 3*h. Calculate the smallest common multiple of 5 and h.
55
Suppose 5*f + 3*x = 59, -3*f - 5*x + 55 = f. Let a(o) = -6*o - 12. Let i be a(-7). Suppose -i = 137*r - 140*r. What is the least common multiple of 