75 + 384296. Suppose f + 52 - 175 = 2*b, -2*f + 3*b = -245. What is the least common multiple of f and a?
121
Let t(x) = x**2 - x - 3. Let n be t(4). Suppose 4*y - 30 = -2*r, 2*r - n = 11*y - 12*y. Calculate the smallest common multiple of y and 1.
7
What is the lowest common multiple of (-2 - -15)*11920/1937 and 1750?
14000
Let i be 0/3 + 20*16. Suppose 10*o + 20 = i. Calculate the smallest common multiple of 40 and o.
120
Find the common denominator of 29/212 and ((-22036)/(-408))/7 - 7.
10812
Let s be 645628/170*(-60)/(-32). Let f = s - 7122. Calculate the common denominator of f and 34/9.
612
Let d(n) = n**2 + 13*n - 118. What is the lowest common multiple of 4 and d(7)?
44
Calculate the common denominator of -47/168 and ((-21)/700)/(1 + 4539/(-2055)).
38640
Suppose -k + 5 = -3. Suppose 0 = -0*o + 3*o + 2*z + 138, 5*o - 2*z = -230. Let p = o - -66. What is the lowest common multiple of p and k?
40
Let f = 267 + -748. What is the common denominator of (-4)/3 - f/858 and 55/96?
1056
Suppose -13*l - 74 = 394. Calculate the least common multiple of -2*-4*(-9)/l and 18.
18
Let d be (-7357)/(-63) - -5 - (-2)/9. Let m = d - 54. Calculate the lowest common multiple of m and 10.
340
Suppose 4*d + 0*d - 16 = -2*f, 4*d - 12 = -f. Suppose -2*v - 3*k + 76 = -77, -2*k = d*v - 148. Calculate the lowest common multiple of v and 9.
207
Let u(p) = 16 - 5*p + 2*p - 17. Let l be u(0). Calculate the lowest common multiple of 9 and (-12)/(-16) + l/(-4).
9
Suppose -n - 105 = -4*l, -l - 5*n - 8 + 50 = 0. Find the common denominator of ((-84)/8*l/42)/(-10) and 21/8.
40
Let q be (-704)/3*-9*(-16)/24. Let n = -65139/20 - -3258. Find the common denominator of n and 2*-1 - 8/(q/(-60)).
220
Calculate the common denominator of 198/(-1520)*22 - (-19 + (27 - 11)) and 51/418.
4180
Suppose -264 = 17*f - 111. What is the lowest common multiple of 55 and f - (-9 - -6) - -36?
330
What is the common denominator of -11/160 and ((6468/(-200))/(-33))/(-2)?
800
Let v = -34/21 - -1661/105. Let t = v + -27/2. Calculate the common denominator of t and -33/92.
460
Find the common denominator of 1*-23 + 105625/4550 and 9/1102.
7714
Let j = -148825 - -23216551/156. Let v be (-5)/((-25)/(-3))*-5. What is the common denominator of j and 1 + 18/(-32) + v?
624
Let r = -108 + 126. Find the common denominator of 95/6 and 2/(-6) + (-181)/r + 2.
18
Suppose -10*t + 8*t = -2. Let z(x) = -x**2 + 12*x + 34. Let a be z(14). Suppose -5*c = -4 - a. Calculate the smallest common multiple of t and c.
2
Suppose 17*v + 120 + 424 = 0. What is the common denominator of 63/44 and 25/(-10) + (-83)/v?
352
Let k(p) = 106*p**3 + p**2. Let d be k(1). Let f = d - 177. Find the common denominator of f/88 - (7 - 6) and 71/22.
44
Let d be (-3)/(-18) - (-20797)/(-42). Calculate the common denominator of (8/80)/((-6)/d) and (147/12 - 3)/2.
8
Let c be (62/5)/((-533)/195). Let p = c + 6539/1107. Find the common denominator of p and 43/30.
270
Let n(g) = g**3 + 8*g**2 + 2*g - 9. Let p be n(-6). Let z = p - 23. Calculate the smallest common multiple of (48/z)/((-4)/(-14)) and 7.
42
Let d = 15 - 9. Suppose -88*j - 974 + 4070 = 84*j. What is the lowest common multiple of d and j?
18
Let z = -1820999/3031224 + -8/18043. Calculate the common denominator of -85/116 and z.
4872
Let l(m) = m**3 + 3*m**2 - 10*m + 2. Let z be l(-5). Let x be (266380/44)/(-5) - z. Let r = -1211 - x. Calculate the common denominator of r and 27/11.
11
Suppose -19*b = -17*b + 48. Let s(o) = o + 90. Suppose 4*p + 5 = x - 24, 0 = -x - 2*p + 35. What is the smallest common multiple of s(b) and x?
66
What is the common denominator of 21/(-46)*(15/(-25) - 494/(-4290)) and -12/161?
1771
Suppose 258 = 3*i - 3*l, 12*i - 2*l - 436 = 7*i. What is the common denominator of -89/156 and ((-1)/(-8))/(i/(-836))?
624
Suppose -120 = -6*n + 2*n. Suppose 0 = -0*f + 6*f - n. Suppose 0 = 3*m - 21 - 12. What is the smallest common multiple of f and m?
55
Suppose 8*t = 45*t - 11891 - 8015. What is the lowest common multiple of 538 and t?
538
Let w be (-4)/(-6) - (-16)/(-6). Let t(a) = -4*a**3 - 36*a**2 - 8*a - 52. What is the smallest common multiple of (10/6)/(w/(-24)) and t(-9)?
20
Let o = 12533290898/945 + -92834274/7. Let u = o + -3502/5. Calculate the common denominator of u and -44/15.
135
Find the common denominator of (0 - (-248)/(-36)) + 1/(-3) and 3 + 6/(-4) + (-1040)/300.
90
Suppose 53*c = 5984 - 681 + 3866. What is the least common multiple of (-4)/(-10) + (-33)/(-5) and c?
1211
Calculate the common denominator of (-1241)/292*(-2)/20 and 47/1016.
5080
Let q = 4590 - 36803/8. Calculate the common denominator of q and (-843)/180 - (-4)/(-10).
24
Let s = -95798929/1320 - -72575. Calculate the common denominator of -85/42 and s.
9240
Let a = -29963 - -30107. Suppose 0 = -3*i + 15 - 3. What is the smallest common multiple of i and a?
144
Let g be ((-14)/56)/(1/28). Calculate the least common multiple of 5 + (-8 - g)/((-3)/3) and 52.
156
Let c(i) = -7*i - 16. Let p be c(-12). Find the common denominator of 51/22 and (-6)/(-12) - (3 + (-193)/p).
748
Let x be (-3)/(662508/(-370747270)) - -1 - 2. Let n = x - 36/18403. Let v = -1674 + n. Find the common denominator of -77/2 and v.
6
Let f = -42 - -47. Suppose -h + 294 = f*h. Calculate the least common multiple of h and 56.
392
Suppose 2*j + 5*n - n - 124 = 0, -4*j + 259 = -3*n. What is the least common multiple of 128 and j/40 - 37/(-5)?
1152
Let z = -17562 - -175567/10. Suppose 2 = 3*y - 1. Calculate the common denominator of z and y + 126/(-20) + 1.
10
Let j = 8036 + -8025. Calculate the least common multiple of j and 106.
1166
Let u(x) be the first derivative of x**2/2 - 5*x - 5. Suppose 644 = -3*n + 668. What is the smallest common multiple of u(9) and n?
8
Let w(s) = 16 - s**2 + 4*s**2 - s**2 - s**2 + 2*s. Let j be 0*(-1 + ((-32)/(-6) - 4)). What is the lowest common multiple of w(j) and 14?
112
Let s be (-10 + 89573)/(-2 - -20). Let z = -9180 + 4211. Let y = z + s. Find the common denominator of -133/12 and y.
36
Suppose -2*r + 12 = 2*i, -r = -i - 1 - 1. Let d(g) = 6*g + 176. Calculate the lowest common multiple of i and d(-27).
14
Let p = 156/20139443 - -85589954190353/1772270984. Let x = p + -48295. What is the common denominator of 61/4 and x?
88
Let v(b) = 1286*b**3 - b**2 - 23*b + 23. Calculate the least common multiple of v(1) and 8.
10280
What is the common denominator of (14 - (-12 + 2225/90))/((-70)/4) and 43/594?
20790
Let z = -127 - -123. Find the common denominator of 67/42 and z - 147*(-7)/(-504).
168
Let u = 330 + -328. Calculate the least common multiple of u and 359.
718
Let x = -163 + 599. What is the common denominator of (-2)/(1 + x/(-388)) and 364/(-2002) - (-388)/561?
102
Suppose 5*b - 14 = 36. What is the lowest common multiple of (0 - (-2)/(-6))/(7/(-4410)*3) and b?
70
Let a = -3389 - -3406. Calculate the least common multiple of a and 42.
714
Let q(c) = 4*c + 38. Suppose -26 = -2*h + 30. Suppose -18 = r - h. What is the least common multiple of q(-9) and r?
10
Let m = -32570001/478 + 68138. What is the common denominator of m and -13/80?
19120
Suppose 4*o - 5*o = -102. Suppose 10*m = -7*m + o. What is the least common multiple of m and 18?
18
Find the common denominator of (-4923)/(-2925) + 144/(-80) and -31/30.
1950
What is the smallest common multiple of 4030/1550 + (0 - (-8)/(-5)) and 4?
4
Let b = 618 - 7427/12. Let t = 9 + -8. Calculate the common denominator of t*(-9)/(-84)*-66 and b.
84
Calculate the common denominator of 2 + 0 - (-94)/(-30) and (-803894)/(-84630) + (-14)/(-6) - 12.
465
Suppose -31*j + 17992 + 5325 = 749. Calculate the lowest common multiple of 2093 and j.
16744
Let o(a) = 133*a**2 + 10*a - 8. Let l be o(1). What is the smallest common multiple of 7 and 4743/l - 6/45?
35
Let m be 28/(-909464)*(-24)/42. Let h = 14437601/7957810 + m. Find the common denominator of h and -117/98.
490
Suppose 3*z + 3*n - 621 = 0, z + 834 = 5*z - 2*n. Suppose 48*r + 16 = z. What is the lowest common multiple of 7 and r?
28
Let u(o) = -3*o**2 + 33*o - 37. Calculate the least common multiple of u(8) and 546.
2730
Let s = -1756 - -1851. Calculate the lowest common multiple of s and 456.
2280
Suppose 5*n = 5*t - 10, -2 + 22 = 4*t + 2*n. Let y be ((-1)/(-8)*t - 2)*-2. Suppose 30 - y = 3*o. Ca