 + y/(-5) and 31/92.
920
Let t = -53002 + 3074039/58. What is the common denominator of t and ((-4)/(-2) - (-43)/5)*(-5000)/(-18000)?
522
Suppose -8*n - 66 = 6. Let j(f) = -2*f**3 - 19*f**2 - 10*f - 7. What is the lowest common multiple of 22 and j(n)?
22
Let p = 102 + -170. Let v = -59 - p. What is the smallest common multiple of v and (-6)/15 - 167/(-5)?
99
Let z = -32489/6 + 5395. Suppose 0 = 45*w + 6024 + 1356. Calculate the common denominator of z and (166/(-4) + 2)*w/(-2706).
66
Let p = 3/2341588 + -52103555/2514865512. Calculate the common denominator of 85/22 and p.
47256
Suppose -3 = 2*y + 4*s + 13, 6 = -3*y + 3*s. Let q be 21/(-7)*-2*(-2)/y. Let g = 7 + q. Calculate the smallest common multiple of g and 7.
70
Let r(h) = -7*h - 78. Let c be r(-30). Let t = -105 + c. Calculate the lowest common multiple of 48 and t.
432
Let r = 4036 + -3074. Calculate the lowest common multiple of 130 and r.
4810
Let t = 5947 + -5937. Suppose -106 - 114 = -2*u. Suppose 0 = 2*r + 3*r - u. Calculate the lowest common multiple of r and t.
110
Let d be 2 - (1 + -1 + 4) - -2. Suppose -8*r + 142 + 146 = d. Calculate the lowest common multiple of 165 and r.
1980
Suppose 18*l = -98 - 10. What is the smallest common multiple of l/(-1 - -7) - 8/(-2) and 3?
3
Find the common denominator of 82/(-15) + (1 - 1) and (((-94)/60)/(256/(-1280)))/((-40)/6).
120
Let d(b) = -b**3 + 19*b**2 - 36*b + 28. Let n be d(17). What is the common denominator of 4/144*471 + n and 41/230?
1380
Suppose -5*z - 2*x = -0*z + 18, 0 = -4*z + 2*x. Let t be (z/((-4)/6))/(-1889). Let u = t + 168151/18890. Find the common denominator of u and 25/22.
110
Let i = 2337/28 - 81. Let l = 56645/145579 + -4/2971. Find the common denominator of l and i.
196
Let i = -5438 - -5458. Calculate the smallest common multiple of 1042 and i.
10420
Suppose 1009 - 386 = 89*p. Calculate the smallest common multiple of (-2)/2*10/(-1) and p.
70
Suppose r = -4*c - 649, 0*r - 2*r = c + 164. Let j = -142 - c. Suppose -7*g + 3*g = j, -g - 113 = -4*d. What is the smallest common multiple of d and 54?
54
Suppose 0 = 3*x - t - 0*t - 45, 0 = 2*x + 4*t - 16. Calculate the smallest common multiple of x and (6/2)/(147/3430).
70
Let d = 11134/6321 - -1/2107. Calculate the common denominator of d and 79/(-69)*(0 + -1).
483
Let a(m) = -12*m - 92. Let z be a(-13). Suppose o + o - 4*f = z, -f = 4*o - 173. Calculate the smallest common multiple of o and 14.
42
Let q be 12*(14/6)/7. Let u be 1*(-6 - -2)*q. Let b = -5 - u. What is the smallest common multiple of 10 and b?
110
Let r = -26 - -22. Let p(n) = 7*n**3 + 2*n**2 - 4*n + 9. Let l be p(r). Let c = 1247/3 + l. Calculate the common denominator of c and 7.
3
Let s = 436768 - 837721093/1918. What is the common denominator of s and -4/5?
9590
Let j = -1199 + 854. Let n = j - -405. What is the least common multiple of n and 14?
420
Let c(v) be the first derivative of -v**3/3 - 21*v**2/2 - 96*v + 190. Calculate the lowest common multiple of 11 and c(-13).
88
Let o = -735789/20 + 36779. Let f = 49/4 + o. Calculate the common denominator of f and 7/55.
55
Find the common denominator of (-9 + 275/33)*((-1798)/24)/(-31) and 292/8*(-2)/(-138).
414
Suppose 7*a - 350 = 4907. Let f be ((-294)/(-70))/(a/5). Let z = f - -80063/10514. Calculate the common denominator of z and -93/10.
70
Let f = -13569/14756 - -548/119. Let l = f - 56/93. Find the common denominator of -89/12 and l.
12
What is the common denominator of 26/33 and (-2)/7 + (-4280)/16380?
1287
Suppose -5*w + 0 = -10, 2*w = -m + 37. Suppose o + 90 = 3*y + m, 0 = 3*o - 9. Calculate the smallest common multiple of 40 and y.
40
Calculate the common denominator of ((-1)/2)/((-54)/(-21)) and (1854/(-1648))/(105/49).
360
Suppose -4*q = 4*z - 18 + 6, -2*z + q + 18 = 0. Suppose -14*o - 420 = -z*o. What is the common denominator of 43/24 and (-15)/o + 242/168?
168
Let r(n) = -3*n**3 - 16*n**2 - 45*n - 7. Let i be r(-10). Let k = 42350/23 - i. Calculate the common denominator of -17/5 and k.
115
Let i be 2 + (-228)/(-15) + 2/(-10). Suppose i*r - 88 = 6*r. Find the common denominator of (198/r)/(-3) - (-2 - -5) and 29/3.
12
Let l(b) = 48*b - 3. Let p be l(2). Let g be ((-48)/(-14))/(-2)*(-3 + -39). Let c = p - g. Calculate the smallest common multiple of 9 and c.
63
Suppose 9*t - 2604 = -22*t. Let g = t + -80. Calculate the smallest common multiple of g and 63.
252
Suppose -4*x - 2 = -30. Calculate the smallest common multiple of 1210/35 - (-3)/x and 4.
140
Let l = -63 - -62. Let s be (11/22)/((-1)/(l + 11)). Let p(m) = 6*m + 32. What is the least common multiple of p(s) and 20?
20
Let g(d) = 3*d**3 - 15*d**2 + 6*d - 4. Let a(n) = -2*n**3 + n**2 - n. Let q(y) = 5*a(y) + g(y). What is the lowest common multiple of q(-3) and 16?
368
Let t be (0 - -1)*(-24 - 12). Let u(r) = -r**3 - 5*r**2 + 5*r - 2. Let d be u(-5). Let q = d - t. Calculate the smallest common multiple of q and 4.
36
What is the common denominator of (-5)/(-4)*(-44)/55*(-145)/6 and -49/702?
702
Suppose 17*h - 3*h - 28 = 0. What is the common denominator of (h + 10/(-12))*(-2085)/315 and -35/36?
36
Suppose -x + 6 = -0*w - w, x + 3*w + 6 = 0. Let l be x - (-1)/((-4)/28). What is the common denominator of 88/(-99)*(-30)/l and -91/6?
6
Let t(q) be the third derivative of -q**5/60 + 3*q**4/4 - 7*q**3/6 - 17*q**2. Let d be t(7). What is the common denominator of -49/3 and 57/(-4)*d/(-45)?
6
Let i be -1*(-12)/(-4) + 6. Suppose 0 = i*y - 13*p + 10*p - 54, -3*y + 62 = p. What is the least common multiple of 45 and y?
180
Let j be ((-117)/(-6))/(14/12 - 1). Let u = 120 - j. Suppose k - p = 9, -4*p - u = -k + 6. Calculate the smallest common multiple of k and 1.
9
Let q = 245 + -231. Let k = q - -10. Calculate the least common multiple of k and 8.
24
What is the common denominator of -55/208 and (307/18 + (-2)/9)/((-9880)/114)?
1040
Find the common denominator of 109/980 and (1449/(-28))/(9 - (-744)/(-16)).
4900
What is the common denominator of 101/138 and ((-9)/27)/(((-88)/(-354))/(-2))?
1518
Suppose 10*k + 842 + 248 = 0. Let t = -327/2 - -536/3. Find the common denominator of t and k/6 + 2 + (-12)/(-8).
6
Let u = -29248 - -994523/34. Calculate the common denominator of 113/390 and u.
6630
Let v = -73 + 75. Suppose r + 4*u = 47, -3*u + u - 114 = -v*r. Calculate the lowest common multiple of 50 and r.
550
Let c be (42/35*-79)/(4/(-10)). Suppose 283 = 5*p - c. What is the smallest common multiple of 16 and p?
208
Let f = -19 + 27. Suppose -2*n = 5*a - 384, 2*n - 3*a - 198 - 122 = 0. Calculate the lowest common multiple of f and n.
344
What is the common denominator of -5 and 590/(-5428)*(-12)/13?
299
Suppose -159*g - 2553 = -162*g. Suppose -2*l - 767 = -g. Calculate the least common multiple of 30 and l.
210
Suppose -2*u - 3817 = -3*b + 25578, -5*u - 73504 = -2*b. Let a = u + 293963/20. What is the common denominator of 16/5 and a?
20
Let d = 22334/3 + -7466. Let p = -2123/4 + 12823/24. What is the common denominator of d and p?
24
Let n = 23 - 5. Suppose 5*f - n = -2*j, 2*f - 6 = -2. What is the least common multiple of (-5)/((-20)/3) + 13/j and 2?
4
What is the smallest common multiple of 86 and -12*34/(-51) + 7*2?
946
Suppose 3877 - 3542 = -103*w + 7545. Calculate the smallest common multiple of 540 and w.
3780
Let s = -91587 - -57748. Let l = s - -1522687/45. What is the common denominator of 113/10 and l?
90
Let b = -2373887/58 - -40928. Let i = 122137/17262 + -5/1233. What is the common denominator of i and b?
406
Suppose 4*s - 4*c - 6156 = 0, -6141 = -5*s + s + c. Let d = -6039/4 + s. What is the common denominator of (-588)/12 - (-6)/4 and d?
4
Let o be (-1)/6*-2 + 4/6. Let l = -101/20 - -124/5. What is the common denominator of (5 + 4)*o*-2 and l?
4
Suppose 40*d = 9*d + 930. Let s = 13 - 5. Let f = 7 + s. Calculate the lowest common multiple of f and d.
30
What is the least common multiple of 55 and 33/(-1 + -5 + 0 + (-1365)/(-221))?
935
Suppose -5*a + 10 = -4*i - 6, 2*i = 3*a - 8. Let c(n) = n**2 - n + 10. What is the smallest common multiple of ((-1)/3)/(4/(-48)) and c(a)?
20
Calculate the common denominator of (1/(-520)*-2)/(116/19430) and -71/208.
208
Let l be 1089913/272470 - (-2 - 6)/(-2). Let k = l + -106529/148620. What is the common denominator of k and 149/6?
60
Let h(