and g.
336
Suppose -4417 - 3507 = -7*h. Let p = h - 36205/32. Calculate the common denominator of -121/20 and p.
160
Let z = 101 + -46. Suppose 8*t = z + 121. Calculate the smallest common multiple of 16 and t.
176
Let n(l) = l**2 - 26*l + 48. Let k be n(24). Suppose 10*j - 2*j - 160 = k. Suppose 0 = 2*o - j - 16. What is the smallest common multiple of 16 and o?
144
Let d(s) = 10*s - 282. Let o(p) = -p**2 + 8*p + 13. Suppose 0*m - 2*m = -14. What is the lowest common multiple of o(m) and d(31)?
140
What is the common denominator of -11/60 and (-1557)/12012 - 70/(-735)?
8580
Let u = -57/116 - -18191/22620. Calculate the common denominator of u and 74/15.
195
What is the smallest common multiple of 5816 + -13 - (-24)/(-2 - 1) and 380?
23180
Calculate the common denominator of -2 + (-1021)/(-482) + 1/(-16)*2 and -21/3856.
3856
Let h(o) = -o**3 + 107*o**2 + 202*o + 2084. What is the lowest common multiple of h(109) and 816?
4080
Let w be 1 - ((-127)/(-5) + 14/(-35)). Calculate the common denominator of 56/5 and ((-10)/12)/(w/81).
80
Let u = 146973/14 - 10504. Let j = 6 + u. Calculate the common denominator of -38/11 and j.
154
Suppose 4*f = 0, 21*s = 17*s - f. Suppose 0 = 3*y - 3*m - 51, 3*y - 25 - 18 = m. Suppose -11*h + y*h - 32 = s. What is the smallest common multiple of 18 and h?
144
What is the lowest common multiple of (2/15 - (-15405)/(-225))*-18 and 984?
4920
Suppose -m + 6*m = 12160. Calculate the smallest common multiple of m/190 - (1/(-5) + 1) and 27.
108
Find the common denominator of 27/22 and (((-48048)/315)/(-8))/((-56)/5).
924
Let p = 42/103 + 2773/1030. Find the common denominator of ((-2)/12)/((-15)/(-685)) and p.
90
Find the common denominator of 153/(-51) - -13*43/132 and 170/14 - 15/3.
924
Let x(y) = y**3 + 23*y**2 - 88*y - 50. Let a be x(-26). Find the common denominator of -59/9 and 7 + -8 + a/133.
171
Let h = -201679097/1080 + 186740. Find the common denominator of 46/405 and h.
3240
Let d be (-7)/(49/(-1022)) - -2. Let p = 208 - d. What is the least common multiple of p and 60?
60
Let u = 13873 + -13494. What is the smallest common multiple of 4 and u?
1516
Let b = -541 - -555. What is the smallest common multiple of 17 - 13 - (0 + 1) and b?
42
What is the common denominator of 92/1656*2076/(-20) and 37/4065?
8130
Let w = 59 + -21. Suppose -2*j + 3 + 27 = -4*a, -a - 5 = 0. Suppose j*m - 2*m - 49 = -4*l, w = 2*m + 4*l. What is the least common multiple of 2 and m?
22
Suppose 5*v = -159 - 21. Calculate the common denominator of (-340)/(-12) - ((-52)/39)/(-4) and (-8)/v - 8/18.
9
Let r = 13 + -316. Let l = r - -353. What is the smallest common multiple of 70 and l?
350
Let u(x) = -1436*x + 1. Let m be u(5). Let k = -141970/7 - -733141/56. Let h = k - m. Find the common denominator of h and -18/17.
136
Suppose -2*d + 35 = 5*c, -c - d + 21 = 2*c. Suppose -c*f = -3*f - 20. Calculate the smallest common multiple of (f - 0)*(-24)/(-8) and 9.
45
Let o = -175396 - -84716221/483. Find the common denominator of 41/460 and o.
9660
Let p(n) = 5*n + 6. Let l be p(3). Suppose 6*y = -l*y + 297. Calculate the smallest common multiple of 292 and y.
3212
Let k(z) = 3*z - 2. Suppose -1002*m - 44858 + 143054 = 0. Calculate the lowest common multiple of k(2) and m.
196
Let o = 115259/314310 - 2/52385. What is the common denominator of -46/33 and o?
330
Suppose -v + 2*x + 2*x = -6, 18 = 3*v + 3*x. What is the common denominator of 4/v*(-568)/(-80) and -113/12?
60
Let o = -54167 + 325009/6. Find the common denominator of o and (-14 + 0)*(-21)/(-60).
30
Let i = -14 - 7. Let r = 21 + i. Suppose 10 = t - r. What is the least common multiple of 5 and t?
10
Let x be -1 - 1005963/15064*(-2)/21. Let v = -3/1076 + x. Find the common denominator of 149/36 and v.
252
Let k(r) = -21*r - 5. Let n be k(5). Find the common denominator of 774/(-180) + (-2)/5 and n/(-4)*(-3)/105.
70
Let m(d) = -21*d - 5. Let q be 6/3 + (2 - (-1 - -3)). Suppose -q*z = -z + 1. What is the least common multiple of 4 and m(z)?
16
Suppose -3*c - g - 649 = 0, 4*c - 3*g = -6*g - 867. Find the common denominator of -44/49 and (c/(-196))/((-9)/42).
49
What is the common denominator of -31/46 and (34 + 28959/(-852))/((-2)/31)?
13064
Let r(n) = -2*n**3 - 5*n**2 - 5*n - 2. Let b be (-48)/9*153/(-68). Suppose -b*k = -85 + 13. Calculate the least common multiple of r(-4) and k.
66
Let s(i) be the first derivative of 9*i**2/2 - 40*i + 36. Let c be s(6). Suppose -w - p = -c, -3*w + p + p = -32. What is the lowest common multiple of 6 and w?
12
Let x(f) = 7*f**2 - 46*f + 1427. Calculate the least common multiple of 7 and x(23).
28504
Let a = -1162 - -1157. Let l = -512/45 - -2/45. Find the common denominator of l and 2/(-18)*a/(60/(-168)).
9
Let b = -13460 - -444233/33. Let g = -84190 + 142352. Let c = g + -1744697/30. Calculate the common denominator of b and c.
330
Suppose 2*y - 69 = 5*v, -7*y - 5*v = -4*y - 91. Let o = y + -29. Suppose 0 = 3*s + o - 9. What is the lowest common multiple of s and 10?
10
Suppose 0 = 50*d - 437 - 663. Calculate the least common multiple of d and 50.
550
Suppose -t - 2*t - 4*h + 31 = 0, -h - 44 = -5*t. Suppose 0 = w - 5*m + 12, 25 = 4*w - 2*m + 1. What is the lowest common multiple of w and 70/t - 40/(-180)?
8
Let g = -1/12 + -1/36. Let o = -118449/7 - -16913. Calculate the common denominator of g and o.
63
Suppose l + 4*h + 4 = 0, -4*l + 14 = -0*h + h. Suppose -l*k - 13 = -1. What is the common denominator of 41/3 and (k/8)/(90/24)?
30
Let c be ((-10)/(-15))/((-2)/(-15)). Suppose 11*d - 10*d - c = 0. Find the common denominator of 17/9 and (-4)/d*(-3)/(72/(-122)).
45
Suppose 0 = -4*y - v + 12, -8*v + 20 = 2*y - 4*v. Suppose -y*a = o - 211, -2*a - o = -7*a + 510. Calculate the least common multiple of a and 7.
721
Suppose 0 = 2*v - 4*t + 2, 2*v + 2*v + 64 = -4*t. Let h = v - -22. Calculate the least common multiple of 11 and h.
11
Let m = -5469 + 5471. Calculate the smallest common multiple of 3276 and m.
3276
Let z(r) = r**3 + 12*r**2 + 28*r + 344. Calculate the lowest common multiple of 659 and z(-12).
5272
What is the common denominator of (-6)/(-3) + (-95)/6 and ((-840)/180)/(32/42)?
24
Let s = -911/12 + 249/4. Find the common denominator of s and 4/77 - (-2)/7.
231
Suppose 0 = 4*o + t - 288, t - 25 = 4*o - 313. What is the least common multiple of 15 and o?
360
What is the common denominator of 4850/(-275)*4/528 and -151/330?
3630
Suppose -142 = -4*v - 142. Calculate the smallest common multiple of 3 and -4 - ((-9)/1 + v).
15
Find the common denominator of (-30955)/(-302)*(-4)/(-4130) and 11/49.
2891
Suppose 2366*r - 2387*r + 2730 = 0. What is the lowest common multiple of 91 and r?
910
Suppose -81 = n - 9. Let x(i) = -i + 25. Calculate the smallest common multiple of n/(-45) + (-2)/(-5) and x(-19).
44
Let d = 4/11501 + -1046831/690060. Calculate the common denominator of d and ((-34)/(-64))/(9/12).
120
Calculate the common denominator of 58/7227 and 316/(-12) + (-5 - -12).
7227
Let i(q) = 227*q + 3. Let d be i(10). Let a = 3193 - d. Let k = -9321/10 + a. Calculate the common denominator of 43/7 and k.
70
Let l(f) = 85*f**2 - 1. Let n(o) = 4*o - 26. Let r be n(7). Let z be l(r). Suppose 18*v - 579 - z = 0. Calculate the smallest common multiple of v and 4.
204
Let t(k) = 10*k**2 - 7*k + 17. Let i be t(5). Suppose -104 - i = -14*f. Suppose 72 = 4*z - 48. Calculate the lowest common multiple of f and z.
120
Suppose -2*b + 3*c + 612 = -0*b, -3*b = 3*c - 888. Let l be ((-21 - 3)/4)/(9/b). Calculate the smallest common multiple of 50 and (-7)/(70/(-24))*l/(-30).
400
Suppose -112 = -4*d - 5*c, 2*c - 140 = -5*d + c. Suppose 4*m + 80 = 2*r, 4*m - 96 - 132 = -5*r. What is the lowest common multiple of r and d?
308
Let u(w) = 6*w**2 + 35*w + 65. What is the lowest common multiple of u(-3) and 40?
280
Suppose 180 = 7195*u - 7189*u. Calculate the least common multiple of u and 363.
3630
Let g = 26239/6 - 4385. What is the common denominator of 71/333 and g?
666
Let a(z) = 6*z**2 + 22*z - 42. Let i be a(13). Let x = 2437/2 - i. Find the common denominator of x and -17/22.
22
Find the common denominator of -199/510 and (-217671)/78440*(1/(-12))/((-102)/16).
1020
Suppose 1232 = -131*j + 139*j. What is the smallest common multiple of j and 140?
1540
Let m(i) = 4*i + 2