4
Calculate the common denominator of (1 + (-34)/30)/(((-3216)/(-1240))/(-67)) and (-9)/(-30)*(-4)/18.
45
Let g = -1/16 + -589/176. What is the common denominator of -8 - (6/1 - (-11242)/(-726)) and g?
66
Let g(o) = -4*o - 3. Let p be g(3). Let t be (p/40)/((-149892)/3447580). Let c = t - 2/12491. Calculate the common denominator of -5/4 and c.
8
Let g(u) = 24*u**2 + 70*u - 326. What is the smallest common multiple of 234 and g(5)?
1872
Let q be (-2)/(-7) + -85*12/(-105). What is the common denominator of -137/90 and (460/(-225) - -6)/((-16)/q)?
180
Suppose -2*q = -9*x + 4*x + 52, -5*x + 5*q = -40. What is the least common multiple of x and 12*(-4)/(-24)*19?
228
Suppose -5*z - 190 = -5*i, -90 + 289 = 5*i - 2*z. Let h = i - 49. Find the common denominator of (-1)/h*-19 - 3/12 and -13/6.
24
Let o = -3/7664 + -2871/7664. What is the common denominator of o and 41/8110?
32440
Let b(k) = -k**3 - 4*k**2 + 4*k + 6. Let m be 204/8 + (-1)/(-2). Suppose r = -5 + m. Calculate the smallest common multiple of b(0) and r.
42
Let q = 1366968561334747/26262 + -52051197973. Let w = q - 2/1459. Let u = -1/1696 + 8269/1696. Find the common denominator of w and u.
72
Let j be ((-657134)/152)/((-104)/(-878)). Let u = -36498 - j. What is the common denominator of u and 19/6?
624
What is the least common multiple of 120 and (9/(54/(-138)))/(3/(-252))?
19320
Let h = -2/594139 - 100408171/392131740. Find the common denominator of h and -47/105.
4620
Let c = -200 - -206. What is the smallest common multiple of 1/((-9)/6*3/(-45)) and c?
30
Suppose 2*o - 6*o = -3*r - 167, -4*r + 4*o = 216. Let f = 130 + r. What is the lowest common multiple of f and 33?
891
Let j = 699 - 692. Let v = -67 + 109. What is the least common multiple of j and v?
42
Let w(a) = -a**3 - 2*a**2 + 10*a + 2. Let z be w(5). Find the common denominator of 7/60 and z/(-9)*30/(-400).
120
Suppose -5658 = -28*n - 33574. Let i = -5995/6 - n. Calculate the common denominator of 6/15 + (-46)/(-135) and i.
54
Let m(q) = 3*q**3 + 44*q**2 - q - 3. What is the least common multiple of 8 and m(-13)?
6840
Let g be (-35 - (-10 - -7))/((-2)/3). Suppose 122*t - g = 114*t. What is the least common multiple of t and 52?
156
Suppose 2*q - 33 = d + 7, q = -2*d + 10. What is the smallest common multiple of ((-30)/(-25))/((-6)/(-40)) and q?
72
Let n(l) = -9 + 9*l**3 - 17*l - 8*l**3 - 9 + 14*l**2. Let k be n(-15). Suppose k*r = 73 + 35. Calculate the lowest common multiple of r and 7.
63
Let i(o) be the second derivative of -o**5/20 + 23*o**4/12 - 37*o**3/6 + 31*o**2/2 - 55*o. What is the least common multiple of 14 and i(21)?
952
Suppose -165 = -16*z + 27. Suppose -q = -5*g - 24, 0 = g - 4*g - z. What is the least common multiple of q and 16?
16
Let s(z) = z - 3. Let k be s(7). Suppose k*m = 3*q - 2, 4*q - 5 = 2*m + 1. Let t = 11328 + -11322. What is the least common multiple of t and q?
6
Let q be (-51 - -38)/((-2)/(-6 - 0)). Let a = q + 54. What is the smallest common multiple of a and 15?
15
Let s = 3092571/5 - 2671996289/4320. Let j = s + 183/32. What is the common denominator of j and 89/6?
54
Let f be 5791/8 - (-6)/(-24). Suppose 5*g + 2*c = -3594, -3*g - 3*c = -c + 2154. Let s = g + f. Find the common denominator of 29/6 and s.
24
Let v(b) = -b + 5. Let n(r) = -17*r + 112. Let t be n(-5). Let g = 202 - t. What is the least common multiple of v(-5) and g?
10
Let h(q) = -8*q + 5. Let z be h(0). Let y be (z - 3)/((-3)/33*2). Let j = y + 13. What is the smallest common multiple of 86 and j?
86
What is the smallest common multiple of (49536/120)/((-15)/(-50)) and 32?
1376
Let q be 14662/21060 + 1 - 0/6. Let i be -3*1 - (-56790)/18954. Let o = q - i. What is the common denominator of o and 113/20?
20
Let l be (-3731)/78 + -1 + 5/6. Find the common denominator of 189/l + 5/(-10) and -87/16.
16
Suppose 0 = 3*w - 5*x + 677, w - 17*x + 207 = -20*x. Let r = w + 264. Calculate the smallest common multiple of 35 and r.
315
Let d be 4*(-1)/(-4) - -2. Let t be -1*d*1*(-33 + 32). What is the common denominator of (-3)/(33/10)*t and -47/3?
33
What is the common denominator of (-46)/32 - 2*(-3)/12 and 395/(-140) - (2/2 + 0)?
112
Let u = 137 + -193. Let g = -2479 - -9865/4. Calculate the common denominator of g and ((-9)/(54/u))/((-11)/3).
44
Let q(g) be the first derivative of -3*g**2/2 + 13*g + 13. Suppose 24 - 9 = 5*z. What is the lowest common multiple of q(z) and 6?
12
Let d = 112153 - 45758293/408. What is the common denominator of 58/255 and d?
2040
Suppose 36 = 4*m - k, -3*m = -2*k - 1 - 31. What is the lowest common multiple of ((-4)/(-10) + 0)/(((-5671)/(-17490))/107) and m?
264
Let x = -28154 + 2280428/81. Find the common denominator of 52/243 and x.
243
Let u be 156/351 - (-100)/18. Find the common denominator of -7/38 and u/4 + 70/(-168)*4.
114
What is the common denominator of (8/80 + (-2)/(-5))*(-876)/(-44603) and -107/2538?
32994
Suppose -159*b + 212448 - 78739 = -125620. What is the lowest common multiple of b and 1631?
1631
Let u(i) = -8*i**3 - 189*i**2 + 15*i + 11. What is the smallest common multiple of 8 and u(-24)?
11032
Let j be 1 + (-463345900)/48 - -3. Let n = -9646018 - j. Let y = n + -7012. What is the common denominator of -37/4 and y?
12
Find the common denominator of (-6*(-45)/54)/(1/8) and 69/1186.
1186
Let d be 1 - 4 - (1 + -28). Suppose 4*v = -4*r - d, 2*r = -v - 14 + 3. What is the smallest common multiple of (((-6)/v)/2 - -9) + -2 and 17?
170
Let m(c) = -c**2 + 25*c - 122. Let l be m(6). Calculate the smallest common multiple of (2/(-2))/(l/16) and 12.
12
Let n(i) = -i**2 + 9*i + 312. Calculate the lowest common multiple of 12 and n(21).
60
Let n be (2/(-6))/1 - 170/3. Let l = -17 - n. What is the lowest common multiple of l and 10?
40
Let h = 6255 + -362817/58. What is the common denominator of h and (332/(-84) + 4)/(8/1332)?
406
Let k = -17969 - -1509443/84. Calculate the common denominator of k and (-161)/147 + (-3)/(-4).
84
Let m = -93 - -218. Calculate the least common multiple of 36 and (m/50)/(1/72).
180
Let q(k) = -5*k - 119. Let j(o) = -3*o - 60. Let t(s) = 5*j(s) - 2*q(s). Calculate the least common multiple of t(-13) and 30.
30
Let j be (-22)/165 + (-184)/(-30). Calculate the lowest common multiple of (134/8 - (j + -5))*4 and 42.
126
Let q = -28277690745071/20720 + 1364753414. Let u = q + -2/185. Find the common denominator of u and -83/98.
784
Find the common denominator of (120/(-20700))/((-459)/(-1050) + (-1)/2) and 52/99.
2277
Calculate the common denominator of 2 + -1 + (-230)/48 and 33/(-99)*(21/602)/(2035/(-405) + 5).
1032
Let n = 33946/9 + -22673/6. What is the common denominator of 11/291 and n?
1746
What is the smallest common multiple of 930 and (16/(-104) - 63/13)*2139/(-155)?
21390
Suppose -106*q = -68*q + 76. Suppose 2*z - 405 = -z. What is the common denominator of (-2 - q - z/110) + 3 and 81/10?
110
Let r = -1945415627/36564 + 46096/831. Let q = 53148 + r. Find the common denominator of q and 117/20.
220
Let g = -10811 + 10973. What is the least common multiple of 28 and g?
2268
Let m = -433 - -847. What is the lowest common multiple of m and 966?
2898
Suppose 4*v = -4*c - 4356, -4*c - 2*v = v + 4355. Calculate the lowest common multiple of ((-54)/8)/(-3)*8 and ((-28)/(-8) - 3)/((-8)/c).
612
Calculate the common denominator of -59/1885 and 544/(-52)*(-62)/(-4340).
13195
Let c = 14 + 42. What is the smallest common multiple of (1 - (-33)/(-55) - -2)*(-120)/(-9) and c?
224
Let i = 4727/3990 + 229/95. What is the common denominator of i and (-62)/10*495/(-1848)?
168
Let a = -116951/74 - -1580. Find the common denominator of (-973)/182 - (-54)/36 and a.
962
Let y = -1127571278/3993 - -282387. Find the common denominator of 43/363 and y.
3993
Find the common denominator of 181/30 and (-48895)/(-5082)*2/(-330).
10890
Let k(o) = -9*o + 58. Let w be k(9). Let z = w + 44. Suppose 2*t = -6*f + f + 85, 5*f - 5*t - 50 = 0. What is the lowest common multiple of f and z?
105
Let r = -2117 + 2127. Calculate the least common multiple of 826 and r.
4130
Let j = -9678/7 - -1386. Suppose -3*h = 5*x - 4*x - 271, 5*x = 5. Find the common denominator of (-6)/(-17)*h/27 and j.
119
Let o(g) = -268*g**2 - 4*g - 11. Let y be o(-5). Let m = y - -80209/12. What is the common denominator of m and 