j, -2*j = -3*s - 1 - 2. Find the common denominator of (11/4 + -2)/((-24)/(-52)) and (j - 177/(-42))*98/12.
24
Let l(g) = -2*g**3 - 27*g**2 + 146*g - 16. Suppose -4*h + 518 = 70. What is the lowest common multiple of l(4) and h?
112
Suppose 16*g = 30*g - 164*g + 1218000. What is the smallest common multiple of g and 15?
24360
Let j = -667 + 1101. What is the least common multiple of ((-200)/35)/(6/(-21)) and j?
4340
Let s = 43 + -39. Suppose s*n - i - 133 = 0, 0 = 3*n + 5*i - 35 - 82. Let w = n + -24. Calculate the lowest common multiple of w and 84.
420
Let x(s) be the second derivative of s**5/20 - 7*s**4/12 - 5*s**3/6 + 6*s**2 - 2*s + 50. Calculate the least common multiple of 108 and x(8).
108
Let m = -7332 - -10467. What is the smallest common multiple of m and 42?
43890
Let c be ((4/(-27))/4)/(20/8095890). Let j = 14987 + c. What is the common denominator of -23/54 and j?
54
Let d = 270531/645218 + -9/2711. Calculate the common denominator of -43/122 and d.
14518
Let n = 6223 + -6219. What is the lowest common multiple of n and 354?
708
Suppose -3*y = 3*h - 30, 5*y + h - 22 - 12 = 0. Suppose 310 = -4*x + y. Let j = x + 79. Calculate the least common multiple of j and 12.
12
Let m = -391 + 12910/33. Let n be (3 - (-9)/9) + 14666*1. Let t = 440261/30 - n. What is the common denominator of t and m?
330
Suppose 0 = -5*x + 4*g + 44 + 2, 3*x - g - 22 = 0. Suppose x*q - 2*q - 60 = 0. Suppose -45*d + 104 = -166. What is the lowest common multiple of q and d?
30
Let b = 68771626708651/1955622396 + 2/69843657. Let p = -35162 + b. Calculate the common denominator of p and -21/4.
28
Suppose -2*r + 8 = j, -r = 5*j - 2 - 2. Suppose j = -6*p + 28*p - 1914. Calculate the smallest common multiple of 18 and p.
522
Suppose -4*h - 3*q = -7*h - 24, 5*q = 10. What is the smallest common multiple of (3 + 10/h)/(1/6) and 2?
8
Let l(s) = -41*s - 1732. Let f be l(-42). Let a(k) = -12*k + 3. Let c be a(4). What is the common denominator of (-474)/c*f/24 and 79/33?
198
Let c = 28290542094614/1581084063 + -1/117117338. Let v = -17894 + c. Find the common denominator of -67/18 and v.
54
Let r = -10800945 + 3495988. Let a be 2/(-8) - r/(-8316). Let p = a - -6138/7. Find the common denominator of -35/6 and p.
54
Calculate the least common multiple of 716 and 48/(-32)*(-12)/18.
716
Let r = -18221/1548 + -135/172. Let m = 1955/3 - 661. Let y = r - m. Find the common denominator of y and -29/12.
36
Let m = 3185233/1080 + -14743/5. Find the common denominator of -1/186 and m.
6696
Calculate the common denominator of 47/138 and (-228)/3534 + (-1 - 22737/(-24242)).
2346
Suppose m - 181 = -46. What is the least common multiple of m and (-1 + 3)/(-6) + 37/3?
540
Let b(y) = -7*y**3 - 2*y + 1. Let l be b(1). Let t = 252 + -240. What is the lowest common multiple of (0 + -3)/(6/l) and t?
12
Let n = 377 + -375. Find the common denominator of 390/(-216) + n/8 and 25/9.
9
Let v = 152833 + -59146333/387. Calculate the common denominator of 1/36 and v.
1548
Let w = -32 + 31. Let t(o) = -o + 20. What is the least common multiple of t(0) and -1 + 2 + w + 2?
20
Let a = 47283703/1647 + -28709. Calculate the common denominator of a and -38/1281.
11529
Calculate the common denominator of (-2345)/(-1792)*14/245 and -21/320.
4480
Let f = 1054 + -546. Let n = f - 341. Calculate the lowest common multiple of 1 and n.
167
Let v(f) = -780*f - 2292. Calculate the smallest common multiple of v(-3) and 24.
48
Let s(o) = o**3 - 9*o**2 + 12*o + 3. Let i(z) = z**3 - 9*z**2 + 13*z + 4. Let q(v) = 5*i(v) - 4*s(v). Calculate the least common multiple of q(6) and 9.
18
Suppose -20*i + 1 = -19*i. Let a = -1 - i. Calculate the least common multiple of 10 and 1 + 5 + -1 + a.
30
Calculate the lowest common multiple of 10 and 5 - -533 - -5 - (4 - -1).
2690
Suppose n + 75 + 229 = 0. Let p = -298 - n. Calculate the smallest common multiple of p and 2.
6
Suppose 2*v - 161 = -5*f, 0 = -2*f - 5*v + 1 + 55. Calculate the least common multiple of 1095 and f.
12045
Find the common denominator of 45/40 + (-100)/(-144) + 4/(-16) and 37/48.
144
Let f be (-2 + 2 - 2) + 6. Find the common denominator of (-4)/6*(-97)/f and ((-23 - 9308/(-104))*1/7)/(-2).
12
Suppose 0*w = 15*w - 420. What is the least common multiple of 24 and w?
168
Suppose -4*f = 2*q + 7 - 75, 0 = -4*q - f + 122. What is the least common multiple of (-5 - 306/(-54))*(14 - -1) and q?
30
Let c(r) be the second derivative of 247*r**3/6 - 4*r**2 + 29*r. Let u be c(1). Suppose -10*g = 39 - u. Calculate the lowest common multiple of g and 34.
340
Let z = -3960263/72 + 55005. Calculate the common denominator of -77/1107 and z.
8856
Let l(m) = -3*m + 330. Let p be l(0). Suppose 0 = 5*t - 0*t + p. Calculate the common denominator of 63/4 and (-103)/(-7)*(-77)/t.
12
Let h = 88192 + -25928503/294. Calculate the common denominator of h and -169/1806.
12642
Let n(r) = r + 39. Let q be n(16). Suppose -7*p = -454 + q. Calculate the least common multiple of 24 and p.
456
Let b be (-1365666)/(-1680) + 1/5. Let m = 4072/5 - b. What is the common denominator of m and -21/32?
224
Suppose 0 = 10*j - 12*j - 480. What is the common denominator of 67/4 and 566/j*3 - -4?
40
Suppose 0 = 15*z - 13*z - 136. Suppose 17*y - 12*y = r - 22, 0 = 4*r - 4*y - 120. Calculate the least common multiple of r and z.
544
Let u be (4 + -1)*-1*8/24. What is the lowest common multiple of 8 and u/6 - 11570/(-156)?
296
Let s(n) = -n**3 + n**2 + 2*n - 3. Let m be s(-2). Suppose 3*o - 5*i + 38 = m*o, 4*o - 94 = -i. Calculate the lowest common multiple of 9 and o.
72
What is the common denominator of (-292)/108 + 3*((-22)/12 - -2) and (1/(-3))/((-126)/(-354))?
378
Let i(q) = -28*q + 14. Let u be i(-24). Suppose u + 754 = 15*m. Calculate the smallest common multiple of m and 51.
1632
Let c = -56 - -256. Suppose -20 = -3*y - 14, -4*y + c = 2*i. What is the lowest common multiple of i and 84?
672
Suppose 61*d = -90 + 47670. Calculate the lowest common multiple of 6 and d.
780
Let z be ((-1726)/(-10))/(1 + (-1938)/(-30)). Let n = -21/82 + z. What is the common denominator of n and -99/4?
8
Let t be 22 + -21 - 5/(-1). Find the common denominator of -39/8 and t/(-726)*-11 + (-483)/110.
40
Suppose -3*r + 494 = -16*w + 18*w, -794 = -5*r + 4*w. Calculate the least common multiple of 126 and r.
1134
Let p = 1547 - 30831/20. Let r = 568699/40 - 14219. What is the common denominator of r and p?
40
Suppose -2*c = -26 - 10. Let g = -372 + 375. Suppose -g*d - 36 = -4*f, -2*f + d = 4*d. What is the lowest common multiple of c and f?
18
Suppose 0 = -29*v - 0*v + 2233. Let h = v + -65. Calculate the lowest common multiple of 9 and h.
36
What is the lowest common multiple of (-4 + 1168)/4 + (-48)/(-8) - 5 and 18?
2628
Suppose 952 = -401*u + 418*u. What is the least common multiple of ((-12)/8)/((-3)/20) and u?
280
Let v(c) = c**3 + 29*c**2 + 32*c + 35. Let n be v(-28). Find the common denominator of -35/8 and 14/n + 762/440.
40
Let a = 66 + -69. Let n be (-4367)/(-44) - a/4. Suppose 0 = 5*k - 10*k + n. Calculate the smallest common multiple of 2 and k.
20
Let b = -58 + 62. What is the smallest common multiple of 20 and 7 - ((-36)/8 + b)*2?
40
Let x = 2831/84 + -323/12. Let q be (-134)/8 - (-1)/(-4). Calculate the common denominator of -3*(q/(-6) - 0) and x.
14
Let t be 2/(-1) - (-216)/(-3). Find the common denominator of 1221/110*(-2)/12 and 3 + t/52 - -2.
260
Calculate the smallest common multiple of (4 - 2)*105/90*135 and 90.
630
Suppose 555*b - 542*b - 338 = 0. What is the lowest common multiple of 8 and b?
104
Suppose -21*s + 617 - 197 = 0. Calculate the lowest common multiple of s and 342.
3420
Let a = 188/31 - 10721/1364. Let f(t) = -97*t**2 - 3*t + 2. Let q be f(1). What is the common denominator of a and q/32 + (-15)/10?
176
Let g(t) = 31*t - 1. Let q be g(12). Suppose -37*n - 38 = -q. Calculate the smallest common multiple of 4 and n.
36
Suppose 2 = 7*p - 257. Let s(y) = -y**3 - 6*y**2 + 6*y. Let t be s(-6). Let x = t + p. What is the smallest common multiple of 3 and x?
3
Suppose -5*f = -59*f - 48*f + 2040. Suppose -27 = -y - 2. What is the least common multiple of y and f?
100
Suppose 5*n = -s + 13, 32 - 52 = -4*n + 4*s. Suppose -x + 2*x + 65 = 2*h, 120 = 3*h + n*x. What is the least common multiple of h and