5*p - 6. Let b = 5 + -2. What is the lowest common multiple of a(b) and 22?
594
Suppose -36 = -4*f - 4*m, -2*f - 9 = -3*f + 5*m. What is the common denominator of (f - (-249)/10)*5/9 and 40/3?
6
Let s = 1627 + -1522. Calculate the smallest common multiple of s and 30.
210
Let p = -628/3 + 439/2. Let w be (24 + 2)*(-3)/6. Calculate the common denominator of p and 802/(-420) + w/(-91).
30
Let a = -138 - -330. Find the common denominator of 89/28 and (-1760)/a*(-6)/(-40).
56
Suppose -2*n = -5*a - 14663, 1489 = 2*a - 3*n + 7363. Let x = 11637/4 + a. Let r = -1517/2 - -777. Calculate the common denominator of r and x.
4
Let u = -33 - -69. Calculate the lowest common multiple of (-5 - (-63)/6)/(6/u) and 207.
2277
Let k = 1001111/24 + -41707. Find the common denominator of k and 32/1149.
9192
Let f = -7140/13 + 499033/910. What is the common denominator of f and (-3*2)/(-2) + (-7236)/1474?
770
Suppose 135*k - 1006 = -2*j + 132*k, k = 5*j - 2566. What is the least common multiple of 40 and j?
2560
Suppose -3*s = -p - 8 - 4, -5*s + p = -22. Let n be (42/18 + -2)*-477. Calculate the least common multiple of 53/n*18/(-2) and s.
15
Let i = -26547 - -584049/22. Find the common denominator of i and 101/1056.
1056
Let s = 55 + -56. Let o be 12125/240*s/(2/162). Let v = -4090 - o. What is the common denominator of 89/2 and v?
16
Let z(g) = -17*g - 7. Suppose -17 + 8 = 3*u. What is the smallest common multiple of (-2 + -22)*21/(-42) and z(u)?
132
Suppose -1560 = -21*u - 1329. What is the smallest common multiple of u and 2814?
30954
Let o = 144918613/211380 - 2/52845. Let p = 2063/3 - o. Calculate the common denominator of -74*(2/(-56) + 0) and p.
84
Let l = 37 + -31. Suppose -485 = -l*m - 107. What is the least common multiple of 1 and (22/(-3))/((-21)/m)?
22
Let s = -74008 - -4514362/61. Let w = s - -7713/1342. Find the common denominator of w and ((1458/(-128))/(-9))/(4/(-16)).
176
Let i(s) be the first derivative of -s**4/4 + 4*s**3/3 + s**2 + 8*s + 3. Let v be i(5). What is the least common multiple of 6 and 1 + 0*(7/(-2))/v?
6
Let d(f) = f**3 + 7*f**2 - 126*f + 779. Calculate the least common multiple of 11 and d(7).
583
Let y = 1499/13 - 1451071/12584. What is the common denominator of y and 47/440?
4840
Let f = -180 - -182. Suppose 0 = 3*c - f - 22. Calculate the least common multiple of c and 31.
248
Suppose -z = 4*z + 5*u - 30, 5*z - 4*u - 12 = 0. Suppose 15 = s - z. Calculate the common denominator of -97/28 and 3/(-2)*(-4 - s/15).
140
What is the common denominator of 125/6 and (-136)/59 - (-729)/486?
354
Calculate the common denominator of 103/280 and (-321)/(-170) - (-4050)/(-2250).
4760
Suppose -3*b + 6 = -5*d, 2*d + 5*b = 1 + 9. Suppose -2*w + 28 = 4*j, d = -w - 3*j + 5*j + 2. Let k = 15 + -14. What is the lowest common multiple of w and k?
8
Let i(n) = -n**3 + 13*n**2 + 16*n + 9. Let w be i(14). Suppose -11*m - w = -15. What is the smallest common multiple of 275/10 - m/4 and 4?
28
Suppose 6*b - 1713 = 213. Suppose -3*q + 3*z + b = 0, q + 2*z = 52 + 58. Calculate the least common multiple of 4/(-6) - (-34)/6 and q.
540
Let w = 3252167765 + -33204632924593/10210. Let d be (-44)/11231*2/(6/(-3)). Let q = w + d. What is the common denominator of -7/40 and q?
40
Suppose -2*n + 4*v = -136, 3*n - 48 - 123 = -5*v. Suppose d = 2*y - 4*y + n, 2*y - 6 = 0. What is the smallest common multiple of 6 and d?
168
Suppose 0 = -3*r + 28*r - 16737 - 5163. Calculate the smallest common multiple of r and 44.
9636
Let w = -40 - -44. Suppose -w = 4*h + 276. What is the common denominator of (h/(-30))/(1/((-54)/(-8))) and 61/8?
8
Suppose 3*c = 17*c - 28. Find the common denominator of c/1 + 1552/(-160) and -29/56.
280
Let b be -2 - 2/(-2) - 1. Calculate the common denominator of ((-253)/(-198))/(3/b) and -8/213.
1917
Let t be (-1 + -1)*11/2. Let l be (-5)/(15/t) + 4/(-6). Suppose 3*f = -7*a + 2*a + 29, -2*a - l*f = -8. What is the smallest common multiple of a and 18?
126
Let n = 6688 - 6607. What is the smallest common multiple of n and 822?
22194
Let a(c) = -3*c - 16. Let u be a(-7). Let w be u/(-40)*2 + (-3281)/(-13188). Let y = w - -253933/52752. Find the common denominator of -139/24 and y.
48
Let k be 24/(-18) + (-33865)/3468. Let w = -92/289 + k. Let j = -3459 + 13919/4. What is the common denominator of j and w?
12
Suppose -d - 5*g - 30 = -2, 5*g - 41 = 2*d. Let a = d + 47. Suppose 0 = -3*q + q + 3*x + a, -3*q + x = -22. What is the smallest common multiple of q and 7?
42
Let g = 596 + -597. Find the common denominator of -9/4 and (g - 46/(-82))*243/(-216).
164
Let n = 348257868/61 + -34001141677/5856. Let a = n + 97062. Find the common denominator of 35/24 and a.
96
Suppose -2*g - 3 = b - 18, -g = -21*b - 201. What is the lowest common multiple of g and 3096?
3096
Suppose -3*s = -5*n + 94, 22 = 5*n + 3*s - 84. Let j = 152 + -132. What is the least common multiple of n and j?
20
Let w(c) = 41*c**2 - 25*c - 48. What is the lowest common multiple of 10 and w(4)?
2540
Let i be 52/28 + -2 - (-141)/7. Suppose -n = 3*u - 70, -2*u - i + 260 = 4*n. What is the least common multiple of n and 12?
348
Suppose -4*p - 31*i = -16*i - 61591, 2*p + 2*i = 30746. Calculate the smallest common multiple of p and 14.
107548
Suppose -2*v + 548 = 4*w, -3*w + 8*v + 266 = -202. Calculate the lowest common multiple of w and 1325.
37100
Let u = 150/211 - 24677/2954. Let i = 2193 - 10921/5. Let j = 267/10 + i. What is the common denominator of j and u?
14
Let v(a) = -126*a. Let i be v(5). What is the common denominator of 53/28 and ((-637)/i)/((-4)/10)?
252
Suppose 2*y - 8688 = -5*k, -5*k = -2*y + 569 + 8139. Let w = y - 34843/8. Calculate the common denominator of w and 3/5.
40
Let t = -11610/23 - -312757/621. Find the common denominator of (-4)/2 - (-122)/66 and t.
297
Let w(n) = n**2 + 8*n - 13. Let c be w(-9). Let x = -46 - c. Find the common denominator of -35/3 and (-1019)/x - 12/(-56)*-2.
6
Let j = 61 + -205. Find the common denominator of 0 + -2 + (-858)/j and -119/12.
24
Let f(r) = 4*r**3 - 2*r**2. Let s be f(2). What is the least common multiple of 700/s - (-2 + (-39)/(-18)) and 31/4 + (-40)/(-32)?
261
Suppose 5*z - z = 8. Calculate the common denominator of (39800/96)/25 - z/6 and -43/2.
4
Let v = 5672 + -39664/7. Find the common denominator of 39/173 and v.
1211
Let n = 2/5487 + -302057/746232. Calculate the common denominator of 109/340 and n.
680
Suppose 64*q = 38*q + 1638. What is the lowest common multiple of q and 387?
2709
Let d = 12033/13882 + -2/631. Calculate the common denominator of d and 387/(-1924) + (-64)/(-416).
1628
Suppose 3*v + 3 = -2*c, -c - c = -5*v - 5. Let s = 4/1585 - -33197/34870. What is the common denominator of 1*-1 - v*558/(-84) and s?
154
Let k be (-4)/10 - (-1254)/110. Suppose 0 = -4*q + 55 - k. What is the lowest common multiple of q and 9?
99
What is the common denominator of (-280)/160 - 35575/(-19380) and 49/102?
1938
Let p = 1386/17 + -49165/612. Let w = 3/2054 - -54341/61620. Calculate the common denominator of w and p.
180
Let c(t) = 461*t + 63303. Let d be (-1)/(1 - 5/4). Suppose 2*k + 5*r + 0 = -d, 3*k = 4*r + 40. Calculate the smallest common multiple of c(-137) and k.
584
What is the smallest common multiple of (-25685)/(-99) + 24/(-54) and 296?
2072
Suppose -2300 = -11*l + 2386. Let f be (2 - 17/8) + l/(-48). What is the common denominator of 1/6*-3*(-80)/f and 149/30?
90
Let d be (-12)/87*3/(-48). Let y = -1849/812 - d. What is the common denominator of y and 107/6?
42
Let r = 725026789 + -37703906805/52. Let j = 48340 + r. Calculate the common denominator of j and -87/8.
104
Let z = -4703 + 51765/11. Find the common denominator of z and 23/451.
451
What is the common denominator of 1/360 and (-5 + (-1512)/(-300))/((-336)/141 + 2)?
1800
Suppose -m + 3*m = 4*b - 3538, -4*m = 4*b + 7052. Let l = -2451 + 68715/28. Find the common denominator of 2/(-10) + m/550 and l.
308
Let c = 325691779124/2475 + -131592636. Let a = 1/2475 + c. Find the common denominator of a and -56/33.
33
Let o(s) = -9*s - 36. Let p be o(-8). Suppose 30*a - p*a = -1164. What is the least common multiple of a and 4?
388
Let a be -1 + 5 + -1*2. Suppose 3*z = m + 8, -a*m = -0*z + z + 2. Suppose 0*p + 5*n = -2*p + 55, z*p + n - 43 = 0. What is the least common m