 50. Let m be p(7). Suppose -5*q - f + 343 = 0, 5*q + 2*f = m + 130. What is the smallest common multiple of 18 and q?
414
Let j = 325 + -205. What is the lowest common multiple of 62 and j?
3720
Let g = 2761 + -2585. What is the smallest common multiple of 264 and g?
528
What is the common denominator of 2/11 - (-46)/352 and (-3)/2*(-292)/96?
16
Let x = 501169/475090 + -3/8638. What is the common denominator of x and 52/35?
385
Suppose -3*o - 66 = 5*l, o = 3*o + 4. What is the common denominator of -1/12 and (-37)/(-518)*(-14)/l?
12
Suppose 2*t + 11 = 3*k, -3*t = 5*k - 2*t - 40. Calculate the smallest common multiple of k and -2*20/(-8) - 3 - -5.
7
Suppose -5*k = -l + 97 + 181, 5*l = -4*k + 1535. Calculate the smallest common multiple of l and 9.
909
Let s = 2/2459 + -31979/14754. Let w be 4/((-3280)/(-66))*2. Let y = w - -20441/1640. Calculate the common denominator of y and s.
24
Let t be ((-236802)/106065)/((-100)/42). Let r = t - 117/125. Let w = 44863/47140 - r. Find the common denominator of w and -23/18.
180
Let y(h) = 10*h**2 - h. Let n be (-50)/5*3/(-6). Suppose 2*c - 3*a = -c + 30, -23 = -2*c + n*a. Calculate the lowest common multiple of c and y(-1).
99
Let m = -1462/117 - -187/13. What is the common denominator of -8/27 and m?
27
Let u(g) = -g**2 + 78*g - 401. What is the smallest common multiple of u(59) and 8?
720
Let w = -4075659/130 - -31352. Find the common denominator of -81/50 and w.
650
Let g = -32225/12 - -2675. What is the common denominator of -5/24 and g?
24
Let u(y) = -8*y**2 - 3*y + 2. Let d be u(1). Let v = 18 + d. What is the smallest common multiple of (v/12)/((-2)/(-8)) and 12?
12
Suppose 8*o = 21*o - 728. Suppose 11 = -3*f + o. What is the smallest common multiple of f and 33?
165
Calculate the common denominator of 97/70 and (1 - 193/5)*(-2)/72.
630
Let s(k) = -k**3 + 4*k**2 - k - 2. Let g be s(4). Calculate the common denominator of (3/g)/((-14)/13) and 63/10.
140
Let k(y) = 2*y - 6. Let u be k(-3). Let j be (-2770)/u*(-436)/20. Let l = 5050 + j. What is the common denominator of l and -113/14?
42
Let q = 93 - 85. What is the smallest common multiple of q and 1104?
1104
Let r = -2084/165 + -2/55. Find the common denominator of -97/42 and r.
42
What is the common denominator of (-37 - -3)/((-273)/(-14)) and -49/54?
702
Let x(d) = -4*d**3 - 13*d**2 - 24*d - 4. What is the smallest common multiple of x(-2) and 9?
72
Let m = 37705/364 + -1387/13. Find the common denominator of m and -75/32.
224
Suppose -400 = 3*u - 445. What is the least common multiple of u and 35?
105
Let z be ((-56)/8)/(2/(-44)). Suppose 0*d + 2*u - z = -5*d, -2*d + 3*u = -73. Let j = 2416 - 9579/4. What is the common denominator of j and d?
4
What is the least common multiple of (3/9*-6)/((-2)/82) and 22?
902
Let g = 11/284 - -4313/5964. Find the common denominator of g and 57/10.
210
Find the common denominator of 19/50 and 116/290 + (1 - (-23)/(-2)).
50
Let l = -6052 + 72679/12. What is the common denominator of l and 107/72?
72
Suppose 123*y = 125*y - 40. What is the least common multiple of y and ((-14)/2)/((-4)/32)?
280
Let q(r) = -r - 33. Let s be q(-18). Find the common denominator of s/16*(-8 + 20) and ((-9)/(-7))/(9/6).
28
Let v(r) = r**3 + 9*r**2 - 3*r - 11. Calculate the lowest common multiple of 40 and v(-9).
80
Let k = -175 - -199. Calculate the smallest common multiple of k and 84.
168
Let m = -61/2 + 29. Suppose -4*s - 4*d = 64, 4*s + 56 = s - 5*d. What is the common denominator of ((30/(-33))/2)/((-2)/s) and m?
22
Suppose 5*h - 6*a - 59 = -7*a, 0 = -3*h - 4*a + 32. What is the least common multiple of 11 and h?
132
Suppose 0 = -11*h - 1713 + 1933. Calculate the least common multiple of 496 and h.
2480
Let x = -1451 + 17375/12. Calculate the common denominator of -19/390 and x.
780
Find the common denominator of 79/208 and (-32)/40 + 2/(3120/1383).
208
Let u(r) = -r**2 - 13*r - 12. Let l be u(-12). Suppose 5*n - 609 + 119 = l. Calculate the lowest common multiple of 10 and n.
490
Let g = -107/18 + 7/2. Let f be 2/5*40/(-16). Calculate the common denominator of g and ((-52)/(-88))/(f/2).
99
Let d = 3131839/96 + -32623. What is the common denominator of d and -59/8?
96
Let c be 5 - (2/(-2) - -1). Suppose u - 3 = 0, 2*t + 3*t - 25 = -c*u. Calculate the least common multiple of t and 20.
20
Suppose -5*v + 5*z + 1845 = 0, -4*v - 5*z + 1653 = 168. Calculate the lowest common multiple of v and 370.
370
Let y be -2 + 1*8/1. Suppose -y = -6*v + 4*v. Calculate the smallest common multiple of v and 7.
21
Let k = -4/1773 - -3164/5319. Calculate the common denominator of 16/45 and k.
135
Let g = 3139 + -3133. Let y(i) = 17*i + 4. What is the smallest common multiple of g and y(6)?
318
Suppose 14*q - 9*q = -80. Find the common denominator of (-12)/q + (-51)/2 and (-1)/2 + 393/(-18).
12
Suppose 4*l = -63 + 223. What is the lowest common multiple of l and 44?
440
Let z(x) = -18*x**2 + x - 1. Let n = 5 + -6. Let k be z(n). What is the common denominator of -85/4 and ((-745)/k)/((-3)/2)?
12
Let r = 7/1334 - 345541/6670. Let u = r - -1499/30. What is the common denominator of -6/7 and u?
42
Let t = 4/2747 - -332363/16482. Find the common denominator of t and -161/66.
66
Let v = -4/207 - -20947/2070. Let d be -1 - (-16)/35*(-40)/(-19). Let i = 15355/1596 + d. What is the common denominator of i and v?
60
Suppose -55 = 3*d - 8*d. Let n be ((-6)/9)/((-8)/204). Suppose 5*y - 8 - n = 0. What is the lowest common multiple of y and d?
55
Calculate the least common multiple of 14 and 2/(-6)*-3*12.
84
Let w be (-2)/(-9) + 747831/432. Let n = 3465/2 - w. Let j = 195389/24 - 8137. Calculate the common denominator of n and j.
48
Let k be 4/(-6)*9/(-2). Suppose -x = 4*l - 0 - 30, 62 = k*x + 5*l. Calculate the lowest common multiple of x and -1 + -2 + -3 - -16.
70
Let t(p) = -p**3 - 19*p**2 - 19*p - 15. Let s be t(-18). Calculate the least common multiple of 1 and (1 - -2)*16/s.
16
Calculate the common denominator of -35/6 and (-8479)/(-6954)*(-2)/4.
228
Suppose 5*p - 254 = 646. Calculate the least common multiple of p and 126.
1260
Let i = 655239010561/196889081 - -846/1099939. Let o = 3328 - i. Let x = 5303/2864 - o. Calculate the common denominator of x and -109/18.
144
Calculate the common denominator of -17/7 and (-34)/136*(-2 - 260/(-126)).
63
Suppose k = 2*t - 21, 4*k = -6*t + 3*t + 26. Suppose 4*m = 12 + 28. What is the lowest common multiple of t and m?
10
Find the common denominator of (-2)/(-28)*(-11 - (-459)/66) and -73/224.
2464
Calculate the common denominator of -6 + -1 + 13618/1716 and 49/20.
780
Let r = 1312859/66 + -19894. Calculate the common denominator of r and -137/120.
1320
Suppose -13*p = -11*p + 168. Calculate the common denominator of p/(-64) - (-2)/4 and -107/102.
816
Let k(w) = 2*w**3 - 12*w**2 + 3*w + 6. What is the least common multiple of k(6) and 8?
24
Let i(s) = -4*s + 4. Let x be i(-4). What is the common denominator of ((2 - 2)/1)/1 and 100/(-6)*x/16?
6
Find the common denominator of (126/(-20) + 2)/(113 + -116) and 73/50.
150
Let x = 39582 - 3839504/97. What is the common denominator of 65/9 and x?
873
Let b be (161/(-14))/(2 - (-15)/(-8)). Calculate the least common multiple of 109/6 + (-4 - b/24) and 9.
18
Let q = -6876/61 + 997037/8784. What is the common denominator of -49/66 and q?
1584
Suppose -2*z - 5*b + 3750 = 3*z, -3*b = 0. What is the least common multiple of 2 and z?
750
Find the common denominator of 27/88 and (-134)/(-22)*23/184.
88
Suppose 0 = -n - 4*r - 5, 0*r = 5*n - 3*r - 90. Find the common denominator of 14/(-120)*(n - -18) and -47/4.
20
Let v = 17/198 + -32/495. Find the common denominator of v and -1/4.
660
Suppose -552 = -15*f + 423. Calculate the smallest common multiple of f and 50.
650
Let u(i) = 7*i - 6. Let p(f) = -f. Let q(w) = -2*p(w) - u(w). Let s be q(4). Let z = -3 - s. Calculate the smallest common multiple of z and 8.
88
Let i be ((-27)/6)/(2/(-28)*1). Let m = 75 - i. What is the least common multiple of 12 and m?
12
Calculate the least common multiple of 195 and (-30)/(8 + (-68)/8).
780
Let m = 6616/7 - 78811/84. Let h be 8291/(-7384) + 0/(-1). Let p = h - 2/923. What is the common denominator of p and m?
24
Let p be (-186)/9*(-11 - -2). Let o be (-3)/(-5) + p/15. Find the common denom