e -2*m + 17 = -43. Suppose 2*h = -3*h + m. Suppose 12 = -h*f + 144. Calculate the smallest common multiple of f and 4.
44
Let q(z) = -z**2 + 203*z - 7642. Let w = 349 - 157. What is the lowest common multiple of q(153) and w?
192
Suppose 20727 = 4*s - 5*d, -293*s + 4*d + 15544 = -290*s. What is the smallest common multiple of s and 18?
46692
Let u(v) = -19*v - 9. Suppose 5*j = 3*j + 24 - 10. Calculate the lowest common multiple of j and u(-6).
105
Find the common denominator of -49/144 and 4/26 - 2069/858 - -3.
1584
Let f = 17462155/551892528 - 2/425843. Calculate the common denominator of f and 17/4752.
14256
Let x(a) = -a**2 + 44*a + 113. Let b be x(40). Let w = b - 246. What is the smallest common multiple of w and 117?
351
Let b = -2277/2422 + 2/173. Let d be (2 - 145524/(-11961)) + 1. Let f = -1/7974 - d. Find the common denominator of b and f.
42
Suppose w - 30 = 5*g, -7*w + 129 = -2*w - 4*g. Suppose w = 9*j - 2. Suppose 0 = -j*u + 16 + 5. Calculate the smallest common multiple of u and 4.
28
Let z(g) = 5 - 4 - 17*g + 6*g + 2*g**2 + 8. Let b(y) = -y + 1. Let i(n) = 4*b(n) + z(n). Calculate the least common multiple of 8 and i(7).
24
Suppose 0 = 4*u + 8, k = -3*u + 65 - 19. Suppose -2*a - 7 + 39 = 0. What is the lowest common multiple of a and k?
208
Calculate the least common multiple of 40/(-24)*3 + 3*32/12 and 470.
1410
Let t = -129/5 - -3659/140. Find the common denominator of t and 117/2044.
10220
Let q be (6*33/2)/(-1)*-1. Let d = q + -119/2. Find the common denominator of -11/50 and d.
50
Suppose 55*o - 611 = -6. Let i(d) = -d**3 - 2*d**2 - 6. Calculate the least common multiple of i(-5) and o.
759
Let r = 42252/11 + -633692/165. What is the common denominator of r and (-71)/(-9) + (-2)/(-4)?
90
Let y = 4117055/20792 + -4552/23. Calculate the common denominator of 93/3164 and y.
6328
Calculate the common denominator of -115/792 and (2*2 - 36/54)/(160/125).
1584
Suppose 52*i = 54*i + 44. What is the common denominator of (i - -24)*((-38)/18 + 2) and 97/90?
90
Suppose 2*i - 20 = 5*a, -6*i + i = a + 4. Let d be (-2 - i) + 3 + 7225138/(-136). Let n = 53124 + d. What is the common denominator of -87/14 and n?
476
Suppose 0 = 5*d - 3*n - n - 75, -4*d = -5*n - 69. Suppose -d + 6 = -a. Calculate the common denominator of (-6 + 1)/(a - 1) and 25/7.
28
Suppose 0 = d - 3*a + 83, -d + a - 116 + 27 = 0. Let n = -48 - d. What is the lowest common multiple of n and 2?
44
Let y = 759 + -433. Find the common denominator of (4/(-6))/(32/(-213)) and (-14)/(-63) - y/252.
112
Let z = 110240 + -15874657/144. What is the common denominator of -5 + 1 + (-9)/12 + (-190)/(-96) and z?
144
Calculate the least common multiple of 4/(-18) + (2260/45 - -4) + -3 and 187.
561
Let d = -107288 - -9655811/90. What is the common denominator of (252/(-3150))/(28/505) and d?
630
Let h be 2/(-10) - 2278653/412560. Let v = 3/3056 + h. What is the common denominator of v and -17/210?
630
Let j = 11601 + -139069/12. Let m = -980923/300 + 39227/12. Find the common denominator of j and m.
300
Let j(a) = -17*a - 206. Let s be j(-8). What is the common denominator of 5/8 and ((-10)/(-8))/(s/(-40))?
56
Let s = 1487697/8531950 - 2/24377. What is the common denominator of 121/294 and s?
7350
Let h(y) = 6*y - 3. Suppose -2*p + 7*p - j = 19, -3*j = -2*p + 5. Suppose p*q = -2*g + 36, -6 = -q - q. Calculate the smallest common multiple of g and h(3).
60
Let s = -143 - -145. Calculate the least common multiple of 11 and (s/(-5))/(14/(-70)).
22
Let y be (30728/(-120))/(2709/57). Let b = -3/3010 + y. What is the common denominator of 61/40 and b?
360
Let x(v) = 4*v - 2*v - 8*v + 2*v**2 + 8 - v**2. Let d be x(4). Suppose d = 14*z - 108 - 200. Calculate the least common multiple of z and 20.
220
Suppose 0 = -59*g + 64*g + t - 43, -2*t = 2*g - 14. What is the lowest common multiple of g and (-6)/(-2) + 5 + -2?
18
Let d(g) = -21*g + 411. Suppose 0 = -2*k - 4 - 4, -2*o + 2*k = -254. What is the lowest common multiple of o and d(18)?
1353
Find the common denominator of 90491/5814 + -20 - (-12)/((-3)/(-1)) and 95/24.
1368
Let d(f) = 16*f + 6. Let k be d(-3). Calculate the common denominator of 475/60 - k/(-7) and -139/36.
36
Let y = -5068 - -390288/77. Calculate the common denominator of y and 107/1554.
17094
Let s = 750 + -190. Let o = 668 - s. Calculate the least common multiple of o and 16.
432
Suppose -87*p = -496 - 816 - 602. What is the smallest common multiple of 1564 and p?
17204
Let w be 22850/(-2)*10/25. Let q = w + 63911/14. Let v = 581/24 - 215/6. What is the common denominator of v and q?
56
Calculate the common denominator of (131/(-5))/(((-46)/40)/(-23)*24) and -155/1176.
1176
Let z be (-30)/(-10) + (4/2)/2. Suppose 58 = 9*w + z. Let o = -7 + 9. What is the lowest common multiple of w and o?
6
Let r(h) = -24*h + 9*h + 16 + 18*h. Calculate the least common multiple of 11 and r(5).
341
Let c = -15989/10 + 1590. Calculate the common denominator of (7/(-180))/(4/(-3) - -1) and c.
60
Let v = -15437/19840 + 55/128. Find the common denominator of v and 19/155.
155
Let f(q) = 3716*q**2 - 13*q - 3. Let s be f(-5). Let h be -6*(-2)/18*s/16. Let j = 3883 - h. What is the common denominator of 47/20 and j?
60
Let o = 260563 + -2338858/9. Let y = -692 + o. Find the common denominator of y and 47/10.
90
Let r(s) = -5*s**2 + 4*s - 4. Let v be (-4 + 2)/(-1 - -1 - 1). Find the common denominator of 43/55 and r(v).
55
Let b(v) = 2*v**3 - 55*v**2 - 28*v - 8. Let t be b(28). Find the common denominator of (-2315)/(-570) - (t + 11) and 43/22.
1254
Let o = 2054 + -686. Suppose 0 = 15*i - o - 1962. What is the lowest common multiple of i and 16?
1776
Let d(k) = -k**2 + 18*k + 111. Let q be d(23). What is the common denominator of -149/42 and (-951)/1260 - (q - (-44)/10)?
84
What is the common denominator of (4 - (-786)/(-90))/((-6)/(-5)) and 63/1220?
10980
Suppose 60*n = 66*n + 12. Let t(d) = -4*d**3 - 5*d - 1. What is the lowest common multiple of t(n) and 9?
369
Suppose -2*s + 2*w + 54 = 0, -3*s - w = 4*w - 105. Let y = -284/11 + s. What is the common denominator of y and 95/(-4)*(-8)/12?
66
Let y be 0/((-15)/(-12) - 3/12). Suppose -4*z = -5*x - 9*z + 865, 5*x - z - 847 = y. Suppose -x = -3*w + 4. Calculate the least common multiple of w and 12.
348
Find the common denominator of (-4)/(-26) - ((-68)/(-153) - 38875/25740) and 73/44.
132
Calculate the common denominator of -51/1750 and (-79013)/465850 + 2/10.
19250
Let m(v) = v**3 + 2*v**2 - 53*v + 26. Calculate the least common multiple of 297 and m(-8).
594
Calculate the common denominator of 2/721 and 10 + ((-3)/(-4))/((-10080)/120720).
5768
Let t(c) = -c**3 + 13*c**2 + 30*c - 2. Let p be t(15). Find the common denominator of (-4 + p)/(-6) + 445/30 and (-4)/6*(-74)/(-12).
18
Suppose 0 = -5*f - 452 - 273. Let x = f - -157. Calculate the lowest common multiple of 27 and x.
108
Find the common denominator of -17/450 and (70/135)/7*(-3)/((-72)/166).
4050
What is the common denominator of 75/806 and (-15)/(-15)*((-146)/546)/((-4)/(-6))?
5642
Let w be (754/(-328) - -2)/((-31206)/38024). Let o = 242911958/2229 + -108978. Let d = o - w. What is the common denominator of d and -53/4?
164
Calculate the common denominator of 7*19*(-2)/(-48) and (0/7)/(-5) + (-1350)/144.
24
Let u = 199/26 + -2547/416. Calculate the common denominator of u and -91/12.
96
Let w(k) = -58*k - 2415. Calculate the smallest common multiple of w(-47) and 33.
10263
Let s = 16096 - 16080. Let k = 8 + -4. What is the least common multiple of k and s?
16
Let f = -37 - 48. Find the common denominator of (459/f)/(2/15) and ((-10)/(-25))/(32/(-460)).
4
Suppose 0 = -3*i - 4*t + 10494, -2*i = 5*t - 8066 + 1056. Calculate the least common multiple of 40 and i.
13960
Let n(z) = z**2 - 2*z - 4. Let v be n(-3). Let l = v + 7. Let c(p) = -p**2 - 15*p - 32. What is the smallest common multiple of l and c(-9)?
198
Suppose -50*r + 45*r + 40 = 0. Suppose 5*w - 10 = -0*w - 5*a, 2*a + r = 4*w. Suppose 5*d - 168 = -w*d. Calculate the lowest common multiple of 3 and d.
24
Let p = -3 + 4. Let d(n) = 21*n**2 - 2*n + 1. Suppose 19*g - 109 = -33. What is the lowest common multiple of g and d(p)?
20
What is the common denominator of -83/2 and -3 + -17 + (-972575)/(-48500)?
1940
Let g = 62621/12 - 5213. Suppo