on multiple of 194 and d?
1746
What is the common denominator of (224/(-60))/4*-2 and ((-7)/126)/((-4)/(-106))?
180
Let u(q) = q**3 - 6*q**2 - 6*q - 3. What is the smallest common multiple of 89 and u(7)?
356
Calculate the common denominator of -45/28 and (1437/(-189) + 8)*6/(-20).
84
Let u(f) = 17*f**2 - 8*f - 9. What is the lowest common multiple of u(3) and 40?
120
Let l = 3077176/2873 - 18218/17. Let f = l + -13453/5070. What is the common denominator of f and 65/27?
270
Let b = -885900043 + 7179334036571/8104. Let w = b - -4/1013. What is the common denominator of 49/2 and w?
8
Let h = -186/49 - -1849/784. Suppose 4 + 11 = 5*q. What is the common denominator of q/((-108)/321) - 2 and h?
48
Suppose -3*y = -9 - 3. Suppose 0 = 4*i + 3*s - 39, s = -0*i + 2*i - 27. What is the least common multiple of i and y?
12
Let m = -48/19 - -917/190. What is the common denominator of -113/190 and m?
190
Suppose -14*w = -18*w + z + 360, -3*z + 360 = 4*w. What is the smallest common multiple of w and 14?
630
Suppose -3 - 3 = -2*h. Let f(o) = o**3 + 7*o**2 + 10*o. Let k be f(-5). Suppose k = 7*m - 3*m - 20. Calculate the least common multiple of m and h.
15
Let a(i) = -2*i + 4. Let l(p) = -5*p - 2. Suppose -5*h + 25 = 3*d, 20 = -0*d + 4*d. Let f be l(h). What is the lowest common multiple of 10 and a(f)?
140
Suppose 11*s - 14*s = 5*w - 12, 0 = 5*s - 4*w - 20. Let y be (-3)/(-1) + -1 + 0. Let m = y - 0. What is the least common multiple of m and s?
4
Let n = 77 + -82. Calculate the smallest common multiple of 1 + n*(-9)/15 and 4.
4
Let j(u) = -16*u**3 + 2*u**2 + 7*u + 7. Let c be j(-2). Let t = -89 + c. What is the lowest common multiple of 5 and t?
40
Let a = -17 - -27. Suppose 0 = -4*p - 0*p - 3*k + 2, 5*k + 2 = -4*p. Suppose p*m + 3*m = a. What is the smallest common multiple of 10 and m?
10
Suppose u = 2*v + 602, -v - 4*v = 15. Let y be -2777*(u/592 - 1). Let p = -166/37 + y. What is the common denominator of 77/4 and p?
4
Let s = 44 - -25. What is the smallest common multiple of 33 and s?
759
Let r = -109/95 + -39/19. Find the common denominator of 2/(-9)*(-29)/(-2) and r.
45
Let t = 5285/4 + -1306. Let m = -174427/14 + 12467. What is the common denominator of t and m?
28
Let i = 147884189/770940 - 17/17132. Let c be (-10)/15 - (-2954)/(-15). Let b = i + c. Find the common denominator of -5/11 and b.
99
Let m = -3 - -12. Let t = m + 7. What is the lowest common multiple of 11 and t?
176
Let o = -13 - -16. Suppose -o*p + 5*p = -36. Calculate the lowest common multiple of 1 and 970/90 - 4/p.
11
Let z(c) = 5*c - 4. Let f be (40/(-24))/(1/(-3)). Let t be z(f). Let s = 23 - t. What is the smallest common multiple of 18 and s?
18
Suppose -4*y - 3*k + 102 = 0, 0 = 2*y - 12*k + 7*k - 38. What is the least common multiple of 44 and y?
264
Let t = -11/3 - -3/2. Let i = t + -100/3. Calculate the common denominator of 4 + 1 + -3 + (-952)/96 and i.
12
What is the common denominator of 71/9 and (-1796)/240 - (-20)/(-12)*-3?
180
Let q be (-51)/24 - -2 - (-75)/24. Find the common denominator of -39/10 and (-85)/q*-9*1/(-6).
10
Calculate the common denominator of -64/87 and 6513/(-1404) - (-2 + -5).
1044
Suppose 2*n + 0*n = 3*f + 38, 4*f = -3*n + 91. Suppose -53 = -5*y + 2*k, -y - 2*k + n = -6*k. What is the smallest common multiple of y and 15?
45
Suppose 136*j - 137*j + 280 = 0. What is the least common multiple of j and 100?
1400
Let b be -1502*(5 + 559/(-112)). Let k = 117/8 + b. What is the common denominator of k and 35/6?
42
Suppose 0*n - 99 = 3*a - 2*n, 5*a + 165 = n. Let v = 36 + a. Calculate the smallest common multiple of 1 and v.
3
Let c = 5/4042 + -307267/60630. What is the common denominator of (5/(-330))/(3/(-372)) and c?
165
Let s be (-2)/(-9) - (-11836909214755)/45450. Let k = s - 260438072. Let o = k - 3/2020. Find the common denominator of 71/3 and o.
12
Suppose 0 = 16*a - 39*a + 17 + 213. Let p = 3 - -9. Calculate the least common multiple of p and a.
60
Let j(m) = 3*m + 4. Let h be j(0). Suppose -h*x - 2*r - r = -40, 0 = 4*x + 2*r - 40. What is the least common multiple of x and 10?
10
Calculate the common denominator of -63/1282 and 1212/(-40)*(3 - 184/48).
2564
Let d(o) = -8 - o**2 - 6*o - 3*o + o + 2. Let b = -20 + 22. Calculate the least common multiple of d(-6) and b.
6
Suppose 7 = -2*k + 21. Let o(l) = l**3 - 8*l**2 + 6*l + 5. Let d be o(k). Find the common denominator of -119/10 and d/((-1)/((-134)/48)).
60
Let g = -358/247 + -25225/10374. What is the common denominator of -54/77 and g?
462
Let r = 592/5 + -6252/55. What is the common denominator of -77/192 and r?
2112
Let l be (1 - 0) + (-2644)/2532. Let d = l + 250343/6963. Let v = 2467/88 - d. Find the common denominator of v and 43/8.
8
Let l(d) = d**3 + 14*d**2 - 92*d + 61. What is the smallest common multiple of -1 - -2 - (0 - 21) and l(-19)?
44
Let g = 1541/5 + -314. Find the common denominator of 18 and g.
5
Calculate the common denominator of (-12)/(55860/9401) + 4/38 and 57/40.
280
Calculate the common denominator of 83/24 and 222/72 + -6 - (-4 - -5).
24
Let f = -2/34001 - -3706137/476014. Let d be ((-60)/(-8))/3 + 2/4. What is the common denominator of -3 - -3*d/(-126) and f?
14
Let k = 17 + -16. What is the smallest common multiple of -6*(-8)/12 + -1 and k?
3
Suppose 0 = -s + 6*s + 15. What is the common denominator of -77/24 and 4/s - (-2 - (-254)/66)?
264
Let w(p) = 2*p + 16. Let u be w(-8). Suppose o + 5 = u, -3*o = 2*v - 4*v + 9. Calculate the common denominator of (v/(-30))/(30/25) and -41/16.
48
Calculate the common denominator of 75/8 and (1*106/(-216))/(40/60).
72
Let a = 15 - 10. Suppose 0 = 4*v - 5*p - 64, a*v - 7 = 2*p + 73. What is the least common multiple of 16 and (-4)/1 + v + -2?
80
Let o = 915656609/110 + -41683622/5. Let h(u) = -1795*u + 6. Let w be h(-7). Let f = w + o. What is the common denominator of 61/18 and f?
198
Let i = 2082/403 - 640985/129766. Calculate the common denominator of i and -48/5.
1610
Let l = 14 - 7. Let y(h) = 2*h - 3. Calculate the lowest common multiple of y(l) and 1/(-3) + 34/3.
11
Let r = 64 - 70. Let i(t) = t**2 + 8*t + 14. What is the lowest common multiple of i(r) and 18?
18
Calculate the smallest common multiple of (3 + -1)/((-8)/(-44)) and (-3)/(-6) + 2 + (-10)/20.
22
Let u be (5/10*-1)/(1/24). Calculate the common denominator of 9/4 and 11 + u + (-194)/(-72).
36
Let m(r) = r**3 + 2*r**2 - 5*r - 5. Let t be m(-7). Find the common denominator of (t/(-66))/(-5) - (-2)/(-3) and 37/12.
132
Calculate the common denominator of -13/20 and 83/9 + -9 - (-635)/342.
380
Let b = 908 + -8159/9. Let n = 1527425/372981 + 1/17761. Find the common denominator of n and b.
63
Let k = -4761343/105 - -45347. Calculate the common denominator of k and -38/165.
1155
Suppose -2*d = -7*d + 310. Let j = 58 + d. Find the common denominator of (3/j)/(6/(-45)) and 43/14.
112
Let g(k) = -k**3 + 3*k**2 + 6*k - 5. Let r be g(4). Let l = -6 + r. What is the common denominator of 19/9 and (-2)/(28/(-54)*l)?
63
What is the common denominator of 91/18 and -3 + -3 + 6 - (-4020)/2160?
36
Suppose 0*r + 3*r = 42. Let x be (17/5 + -3)*25. Calculate the smallest common multiple of r and (x + 0)/(-10 - -11).
70
Suppose -3*a + 2*x + 22 = 0, -9*a + 13*a - 5*x - 34 = 0. What is the least common multiple of 102 and a?
102
Let w = -106 + 105. Calculate the lowest common multiple of 7 and (-1)/w*(-2)/(-4)*122.
427
Let j be 10/50 - 379377/110. Let r = 3448 + j. Let i = -9981/2192 + 33/137. Calculate the common denominator of r and i.
176
Let s = 179180 + -1420855/8. Let u be (-1 + 0)*(1 - -1578). Let x = u + s. Find the common denominator of 24 and x.
8
Let o(v) = -179*v - 1. Let j be o(1). Calculate the lowest common multiple of 4*2*(-14)/(-8) and (j/(-6))/6 + 3/(-1).
14
Let s = -8293 + 248891/30. Find the common denominator of 29/12 and s.
60
Let y be -15*(-1)/(-64)*-13100. Let h = y - 3065. Find the common denominator of 35/12 and h.
48
Let k = 5361 + -107247/20. Find the common denominator of k and -143/6.
60
Let k(c) = 42*c**2 + 9*c - 12. What is the least common multiple of k(4) and 15?
3480
Suppose 3*h + 2*p = -2*p + 28, 0 = -5*h - p + 41. Let r(s) = 3*s - 4. Calculate the least common multiple of h and r(2).
8
Calculate the common denominator of 17/9 and (2 + (-532)/2