 61. Let p(j) = j + 12. Let m(l) = 11*p(l) + 2*r(l). Let v(b) = b - 10. What is the least common multiple of m(11) and v(16)?
42
Suppose 0 = -4*z + b + 67, -2*b = 3*z - 2*z - 10. Suppose z*q - 90 = 6. What is the least common multiple of q and 11?
66
Let a be (-6 - -4 - -1) + (-5 - -59). What is the common denominator of 19/231 and a/(-265) - (-127)/105?
1155
Suppose -4*i + j = -23730, 2*i - 2*j - 8474 - 3394 = 0. Let l = i - 53462/9. Let r = -7300 + 73113/10. What is the common denominator of l and r?
90
Let q = -301/10 - -137/20. What is the common denominator of q and (-778)/(-92) + -13 + 3?
92
Let n be ((-310)/124)/((-2)/44). Suppose -5*r - 3*t = -23, -5*r + 2*t = -3*t - n. What is the least common multiple of r and 21?
21
Let t = 332079833/1798 + -184694. Calculate the common denominator of -53/11 and t.
19778
What is the smallest common multiple of ((48/(-5))/(51/(-170)))/((-2)/(-21)) and 1050?
8400
Let z = 5942 + -5815. Calculate the smallest common multiple of z and 10.
1270
Suppose 8*b - 13*b = 3*v - 19, 3*v = -4*b + 17. Suppose 268 = 2*m + 2*u, -5*u + 4*u = -v*m + 386. Calculate the lowest common multiple of m and 6.
390
Let j(c) = -2*c**2 - 18*c + 13. Let z be j(-9). Let b(d) = -2*d**3 + 28*d**2 - 24*d - 6. What is the least common multiple of b(z) and 8?
40
Let x = 134 - 134. What is the smallest common multiple of x + 53 - (49 + -44) and 33?
528
Find the common denominator of 2 + (-266)/44 - -1 and 22 + (-60)/(-1386)*14724/(-30).
154
Let k(r) = 17599*r**2 + 3*r + 4. Let n be k(-1). Let g = n + -2886409/164. What is the common denominator of g and 45/32?
1312
Let p = 7673/60 + -1303/10. Calculate the common denominator of p and 19/3866.
23196
Suppose 78 = 7*m - 90. Suppose 0*f - 7 = -f. Suppose 11*x = f*x + 16. Calculate the least common multiple of x and m.
24
Suppose 0 = -5*j - 10, r + 3*j + 9 = 2*r. Suppose -4*l - 289*m = -286*m - 44, -l + 2 = 3*m. Calculate the lowest common multiple of l and r.
42
Let t = -1 + 4. Suppose 3*b = -4*q - 45, -1 = -b - 4. What is the smallest common multiple of (-9)/(((-1)/(-4))/(q/54)) and t?
6
Let u(n) be the first derivative of -19*n**2/2 - 299*n - 312. What is the lowest common multiple of 50 and u(-21)?
100
Let q(d) = 141*d + 336. Let x be q(18). Let l = x + -114927/40. Find the common denominator of l and -44/25.
200
Let q be 1/(4 + -3 - 2). Let s be 3/(-2) - (q + 242 + -1). Let f = -231 - s. Find the common denominator of f and 127/60.
60
Let z(x) = -2*x**2 - 23*x - 32. Let w be z(-12). Find the common denominator of 53/3 and w/(-20)*(-8)/18.
45
Suppose 44*q = 67285 - 22933. Calculate the smallest common multiple of q and 40.
5040
Suppose 5*p - 3*n - 192 = 0, -9*p + 5*p + 148 = -n. Calculate the smallest common multiple of (p/(-108))/(2/(-90)) + -3 and 18.
36
Suppose -l + 4*l = -129. Let r = 2 - l. What is the least common multiple of 30 and r?
90
What is the common denominator of 3995/850 + (0 - 0) + -6 and -29/105?
210
Suppose 5*v + 387 = -3*l, 0 = -4*v - 3*l - 243 - 66. Let q = 70 + v. Calculate the common denominator of q/(-14) - (-975)/(-126) and 149/6.
6
Let k(x) be the first derivative of x**2/2 + 14*x - 1. Let i = 797 - 810. What is the smallest common multiple of k(i) and 6?
6
Suppose 0*x - x = -10. Suppose 3*r - 6*r = -108. Suppose -s + 28 = 2*b, -b = -s + b + r. What is the lowest common multiple of s and x?
160
Let m = -1950 + 714. Calculate the common denominator of 10119/m - (2 - 10) and -103/10.
2060
Let o be -3*((-60)/5 + (-1 - 2)). Suppose -2*z - t = -o - 32, -112 = -3*z + 2*t. Find the common denominator of z/120 - 9/36 and -53/21.
105
Let i be ((-7116)/18)/(1475/(-1485) + 1). Let w = -24187229/412 - i. Calculate the common denominator of -95/18 and w.
3708
Suppose 63*d = 82*d - 114. Calculate the lowest common multiple of 22 and 264/(-2 + 8)*d/12.
22
Let a = -6997/1220 - -87/305. Let w = 7703/1298 - 742/177. Let m = w + -87/11. Find the common denominator of m and a.
60
What is the common denominator of 4515/(-5304) - (-462)/1001 and 71/14?
952
Suppose 2*u = -5*m + 9, -4*m + 2*u + 18 = -0*u. Let j be ((-2)/m)/((-8)/60). Suppose 0 = -j*a - 6*a + 22. Calculate the lowest common multiple of a and 2.
2
Let z = 1096 - 1736. Calculate the smallest common multiple of 49 and ((-14)/(-8))/((-32)/z).
245
Let p = 379498720135703276689/85601543339998657290 + -4/48511276594297. Let l = 1/58819 + p. Calculate the common denominator of l and 123/40.
120
Let w = -89/4 + 253/12. Find the common denominator of w and -83/226.
678
Let t(p) = -p**3 + p**2 + 6*p + 5. Let n be t(-2). Suppose j - i - 177 = -2*i, -j + n*i = -183. What is the smallest common multiple of 7 and j?
1246
Find the common denominator of 296/(-13664)*38 - (-4 - (-189)/49) and ((-7)/(-16))/(2/(-36)).
488
Let x(o) = -2*o + 4 + 8*o + 18 + 18. Let j be x(-20). Let h = -68 - j. What is the lowest common multiple of h and 10?
60
Let w = 8623/1470 - -33/490. Let t = 4393/20 + -221. What is the common denominator of w and t?
60
Suppose -2*r = 3*u - 588, -r - 13*u = -6*u - 316. Calculate the least common multiple of 84 and r.
2016
Let h = -73777625/71724 - -44234/43. Calculate the common denominator of h and -63/1390.
8340
Suppose 2*v - 4525 = -5*j, 5*v = -2*j + 206 + 11117. What is the least common multiple of 10 and v?
4530
Suppose -4*q - 5 = 19. Let n(t) = 2*t**2 - 6*t - 11. Let r be n(q). Suppose 0 = 5*c - 177 + r. What is the smallest common multiple of 18 and c?
144
Let w(x) be the second derivative of x**4/6 - 10*x**3/3 - 7*x**2 - 60*x. What is the smallest common multiple of 32 and w(11)?
32
Suppose 0 = -3*c + 4*o + 320, 5*c - 19*o = -20*o + 495. What is the least common multiple of ((-416)/(-91))/(48/21 - 2) and c?
400
Suppose -3*v + 14 = -16. Let d = 281 + -278. Suppose -2*c + v = 0, -2*o - d*o = c - 90. Calculate the least common multiple of o and 1.
17
Calculate the common denominator of (-105)/28 + 3/(-5) and (-1777)/330 - (-2)/(-110)*10.
60
Let v(w) be the third derivative of w**6/120 + 2*w**5/15 + w**4/3 + w**3 - 50*w**2. What is the lowest common multiple of v(-6) and 60?
60
Let g(l) = -l**3 + 19*l**2 - 2*l - 192. Calculate the smallest common multiple of 112 and g(18).
672
Suppose -272 = -11*d - 6*d. Suppose i + 5*k - 3 = -2, 3*i - 57 = 3*k. What is the lowest common multiple of d and i?
16
What is the common denominator of -107/1408 and (-9 + -5 + 17)/((-8)/(-9))?
1408
Let q(a) = 2*a**2 + 6*a + 5. Let p be q(-5). Suppose -30*z + 80 = -p*z. What is the least common multiple of 44 and z?
176
Let r(k) be the first derivative of 2*k**2 - 141*k + 60. What is the smallest common multiple of r(39) and 5?
15
Suppose -470*x + 840 = -462*x. Suppose -102*d - x = -123*d. What is the least common multiple of d and 284?
1420
Let j(h) = -15482*h - 26. Let s be j(2). Let c = s - -5082381/164. Find the common denominator of -55/6 and c.
492
Suppose -3*a = 2*a + 15, 5*a + 25 = 5*b. Suppose -2*x - 2*z - 1 = -37, 5*x = 4*z + 126. What is the lowest common multiple of b and x?
22
Let a(z) = z**3 - 6*z**2 + 9*z - 12. Let l be a(6). Let u(o) = -o - 33. Let n be u(-15). Calculate the common denominator of ((-30)/n + -3)/(5/l) and 13/5.
5
Suppose -3 = -2*g + 49. Let m = g + -35. Let u(z) = -2*z**2 - 18*z + 3. What is the least common multiple of 1 and u(m)?
3
Let o = 11848 + -6611201/558. Calculate the common denominator of -121/372 and o.
1116
Let g = 400265/252 - 6357/4. Find the common denominator of g and 47/504.
504
Suppose j + 2*i - 716 + 441 = 0, 551 = 2*j + 5*i. Calculate the least common multiple of 462 and j.
6006
Let i = 47 - 26. Let k = 2068 + -2038. Calculate the smallest common multiple of i and k.
210
Let u = 146410 + -142017723/970. Calculate the common denominator of 83/1455 and u.
2910
Let g = -37 - -53. What is the least common multiple of 72 and ((276/g)/23)/((-2)/(-80))?
360
Suppose 13*l = 19*l + 56376. Let y = -5864 - l. Let k = y - 53014/15. Find the common denominator of -40/9 and k.
45
Let j be (13505714/(-498))/(16/16). Let g = j + 27120. What is the common denominator of g and -29/9?
747
Suppose 39*w - 7274 - 6766 = 0. Suppose w = -14*r + 20*r. Calculate the least common multiple of r and 18.
180
Let x = 17287/10 + -1735. Calculate the common denominator of x and 7/400.
400
Calculate the common denominator