
Let m = 1/1008 - -6767/1008. Find the common denominator of 31/7 and m.
7
Let x(w) = -w**2 + w + 1. Let z be x(0). Let i = 1 + z. Suppose -i*p + 0*p = -36. What is the smallest common multiple of 8 and p?
72
Let m = -6/31 + 43/62. What is the common denominator of 89/6 and m?
6
Let i = 279 + -175. What is the common denominator of 0/1 - 855/54 and (-2)/5*(-1547)/i?
60
Let g = -8 + 9. Let j = g + 15. What is the lowest common multiple of -1*(-2 - 16) + -2 and j?
16
Let x = 206 + -35. Suppose 36 = 5*t + x. What is the smallest common multiple of (16/12)/((-2)/t) and 16?
144
Let r(v) = 16*v - 283. Calculate the smallest common multiple of 10 and r(18).
10
Let v = -39 + 119. What is the least common multiple of v and 16?
80
Let q = -22 - -22. Suppose -2*b + 17 + 21 = q. Calculate the common denominator of b and (-14)/8 + -1 + -1.
4
Suppose 8712 = 8*z + 58*z. Calculate the lowest common multiple of z and 10.
660
Suppose 0 = -3*r + 2*r. Suppose 4*n - 44 + 12 = r. Suppose -3*i = -n*i + 80. Calculate the least common multiple of 24 and i.
48
Calculate the lowest common multiple of -1*(0 - (-13 - -6))*-10 and 77.
770
Let g(h) be the first derivative of -h**3/3 + 4*h**2 - 8*h - 5. Let p be g(6). Calculate the least common multiple of 28 and (154/(-33))/(p/(-6)).
28
Suppose 2*z + 7 = 5*m, 4*z - 2*m = m + 7. Suppose 3*g + z*v = -g + 36, -v = -3*g + 43. Calculate the smallest common multiple of g and 2.
26
Let u = 80 + -84. Calculate the common denominator of (-5 - -2) + u/(320/(-435)) and -149/6.
48
Let l(b) = 3*b**2 - b - 3. Let c be l(-5). Suppose -h + 2*h = 2*m - c, -5*m + 155 = 5*h. Calculate the common denominator of 342/m*4/(-3) and 131/6.
6
Suppose 610*y = 606*y + 192. Calculate the smallest common multiple of 56 and y.
336
Let u = -189869/17745 - 1/7098. What is the common denominator of 4 - (-608)/(-144) - (-769)/18 and u?
10
Let p = 194 - 100. What is the lowest common multiple of p and 1?
94
Let n = 596 + -464. Calculate the lowest common multiple of 96 and n.
1056
What is the least common multiple of 2 and ((-960)/(-90))/(4/(-6) - -1)?
32
Suppose k = 3*k - 4. Suppose 2*p + 0 - k = 0. Suppose 2*m - p = 11. What is the smallest common multiple of m and 14?
42
Let w = 247140 + -12356583/50. Let j = w - 79/10. What is the common denominator of j and 4/9?
225
Let q = -10523/456 + 254/19. Let m = q - -13/12. Find the common denominator of m and -1/36.
72
Calculate the lowest common multiple of 11/((-77)/(-14)) - 0 and 32.
32
Suppose 5*x - 499 = -0*x + 4*h, -2*h = -5*x + 507. Let n = x + -39. What is the common denominator of -99/14 and (-3)/(-12) + 84/n?
112
Let a = 12 - 11. Calculate the smallest common multiple of a and 63.
63
Let i be -9*1/(-2)*24. Suppose 0*m - i = 2*m. Calculate the common denominator of m/(-20) + 2 + -4 and 32.
10
Calculate the common denominator of -46/7 and (-1 - (-291)/(-420))/((-24)/20).
56
Let n = -209623055633606870733/10525364 - -19915991089107. Let u = 4/25547 + n. Let g = u - -33143/6180. Calculate the common denominator of g and 61/10.
30
Let b = -4047/16 + 109385/432. Calculate the common denominator of b and -79/36.
108
Let o = -636 + 650. Let v(t) = t**3 - 5*t**2 + 5*t - 5. Calculate the smallest common multiple of v(5) and o.
140
Let f = -14 - -22. Let j = -1/102 + 1075/408. Calculate the common denominator of f/20*63/(-2) and j.
40
Let d be 130/(-8)*2*(3 - 5). Let l = -58 + d. Calculate the lowest common multiple of l and 6.
42
Let o be (-20596)/(-168) + -7 - (-2)/6. Let c = o - 1074/7. What is the common denominator of -149/66 and c?
66
Find the common denominator of -2 + ((-43)/(-2) - 1) and (-399)/162 + 9 - 6.
54
Calculate the lowest common multiple of 2 and (-5 + 9/1)*8.
32
Let a = 25 + -11. Let h = 4 + a. What is the lowest common multiple of h and 22?
198
Let i = 15 + -16. Find the common denominator of -4 - ((-15)/12)/(i/(-38)) and 4/49.
98
What is the smallest common multiple of (4 - (-3 - -8))*-11 and 46?
506
Let k = -15053/12 + 1259. Suppose -3*v - 53 + 17 = 0. Calculate the common denominator of k and 243/(-8)*(-2)/v.
48
Let y(g) = -9*g + 110. Calculate the smallest common multiple of y(10) and 308.
1540
Let z = -29089/538446 - 1/4174. Calculate the common denominator of -137/36 and z.
1548
Let h(x) = -193*x - 93. Calculate the smallest common multiple of 40 and h(-1).
200
Let o = 11341 - 170053/15. Find the common denominator of o and -101/20.
60
What is the common denominator of ((-272)/(-120))/((-8)/70) and 47/248?
744
Let c(s) = -118*s**2 + 2*s + 1. Let x be c(-1). Let f = x + 179. What is the common denominator of (-2 + -4)/(f/(-81)) and 119/18?
90
Let g = -20 - -53. What is the smallest common multiple of 144/8*6/4 and g?
297
Find the common denominator of 35/162 and -1 - (-3616)/594 - 5.
1782
Suppose 2*w + 13 = -4*l - 7, 19 = -5*l - 4*w. Let p = 9 + l. Suppose 5 = 4*h + y, -3*y - p*y = 2*h + 11. What is the smallest common multiple of h and 11?
22
Let k(d) = d**2 - 2*d - 5. Let p(b) = 2*b**2 + 24*b + 3. What is the least common multiple of p(-12) and k(-2)?
3
What is the lowest common multiple of 192 and 2320/8 + 6 - 8?
576
Let k = 305 - 68. Suppose -4*j = 9 - k. What is the lowest common multiple of 24 and j?
456
Let s = -2/4751 + 109497/532112. Find the common denominator of s and -143/84.
336
Let v(b) = b - 9. Let g be v(10). Let y = g + -1. Suppose -z + 4*p + 0*p = -20, y = -5*z + p + 138. What is the smallest common multiple of z and 22?
308
Suppose 2*u + 2*x - 40 = 0, 3*u = 6*u - 4*x - 74. Let n = 25 + -9. Calculate the least common multiple of n and u.
176
Suppose -4*s = -0*s - 7*s. Let y = 9 - s. Suppose 0*q + 8 = 2*q. Calculate the smallest common multiple of y and q.
36
Let q(m) = 3*m**2 - 2*m + 19. Calculate the lowest common multiple of q(0) and 4.
76
Let w = -415 - -429. What is the smallest common multiple of 24 and w?
168
Let p = 17003/10 + -1709. Let l = -6403 + 51159/8. Find the common denominator of l and p.
40
Let s = -4 + -8. Let d = 14 + s. Calculate the least common multiple of d and 6.
6
Let c(n) = n**3 - 7*n**2 - 2*n + 8. Let s be c(4). Calculate the common denominator of (49/s - -1)/(48/14304) and -11/12.
24
Suppose 2*b = -2*b + 32. Let t = -4 + b. Calculate the lowest common multiple of t and ((-4)/(0 + 4))/((-2)/14).
28
What is the lowest common multiple of 16 and 1/((9/2124)/(1/2))?
944
Suppose 4*a + 24 = 92. Let l be (-129)/3 - (-2)/(-1). Let v = -37 - l. Calculate the smallest common multiple of a and v.
136
Let i(q) = 17*q - 27. Calculate the lowest common multiple of i(3) and 40.
120
Let d(a) = -9*a - 1. Calculate the least common multiple of d(-1) and 1/(-4)*(25 - 73).
24
Let u(o) = -o**3 - 8*o**2 - 6*o + 10. Let q = 14 + -12. Let c = q - 9. What is the least common multiple of u(c) and 11?
33
Let w(y) = -2*y + 5. Let k be w(0). Suppose -4*q + 40 = 3*z, -k*z = -2*q + q - 59. What is the lowest common multiple of 16 and z?
48
Let k = -93/704 - -19/110. Let n = 52781917189/2240 + -23563364. Let z = n + k. Find the common denominator of -51/16 and z.
112
Let q(z) = 2*z**2 - 1. Let s = -333 + 341. What is the least common multiple of q(-2) and s?
56
Let i = -567/17 + 11617/306. What is the common denominator of i and -161/150?
450
Let n be (1 + 43)/(-13 - -12). What is the smallest common multiple of 6 and (n/(-5))/(20/50)?
66
Let y(n) = n**2 + 5*n + 5*n - 3*n + 12 + 0*n. Calculate the smallest common multiple of y(-5) and 1.
2
Let z(s) = 7*s**3 + s**2 + s + 2. Let a be z(-2). Let y = -46 - a. Calculate the lowest common multiple of 3 and y.
6
Let a be (-8)/(-10)*(-5)/(-2). Suppose 7*s - 6*s = a. Suppose -u + 2*i = s*u - 22, -16 = -3*u - i. What is the lowest common multiple of u and 10?
30
Let d = 142 + -130. Calculate the lowest common multiple of d and 4.
12
Find the common denominator of (-1 + 4*1)*6325/8910 and -149/66.
594
Let k be 10/(-4)*9/(-2355). Let p = -2883/5966 + k. Find the common denominator of p and -44/3.
57
Let m be 5 - (-15868)/(-1602) - 0. Let r = 41/89 + m. Calculate the common denominator of -3/5 and r.
45
Let t(l) = l**3 + 9*l**2 + 3*l + 139. What is the least common multiple of 51 and t(-10)?
153
Calculate the common denominator of -43/62 and ((-95)/(-20) - 4) + 882/(-576).
992
Let f be 30/(-12)*(-14 - 0). Suppose -j - 7*q = -9*q - f, 