p + 4*o, 2*o + 9 = r*p + o. Suppose -p*i + 10 = -14. What is the lowest common multiple of 20 and i?
40
Let u(c) = 6*c**2 - 45*c + 23. Calculate the least common multiple of 178 and u(7).
178
Let a = -971 - -1034. Calculate the lowest common multiple of 9/15 + 137/5 and a.
252
Let n(l) = -3*l - 3. Let u be n(4). Let i be u + 19 - (3 - 0). Find the common denominator of -70/27 and -3 - ((-51)/(-63))/i.
189
Let y be (-277)/(-4) - (-25)/(-100). Suppose -y = -m - a - a, 0 = 4*m - a - 312. Calculate the lowest common multiple of m and 14.
154
Suppose 0 = -46*g + 10*g + 180. Let i(q) = q**2 + q + 4. What is the smallest common multiple of 51/24 + g/(-40) and i(3)?
16
What is the common denominator of (7245/2268)/((-2)/4) and 4/(-10) - 1385/(-8400)?
1008
Suppose -5*t + 25 = -0*t. Let d = -602 - -1069. Suppose -7*v = -509 + d. Calculate the smallest common multiple of t and v.
30
Let f = -57 + 397/7. Let q = f + 65/56. What is the common denominator of q and 336/770*(-30)/4?
88
Let k(z) = 2*z - 2261 + 3*z**2 + 2319 - 4*z**2. What is the lowest common multiple of 208 and k(8)?
1040
Suppose 2*x + 2*x = -4*q + 20, q + 5*x = 25. Suppose 0 = -15*a - q*a - 300. Calculate the lowest common multiple of (38/(-95))/(2/a) and 36.
36
Let v(g) = -2*g**3 - 9*g**2 - 8*g - 36. Let y be v(-8). Let q = y - 469. Calculate the least common multiple of q and 243.
1701
Suppose -15*f - 9195 + 10845 = 0. Calculate the least common multiple of 3410 and f.
3410
Let i be (-4)/(-6) + 116/168. Let h be 12/9*(2 - (-617)/(-154)). Let z = i + h. Calculate the common denominator of -83/2 and z.
22
Find the common denominator of -61/304 and (-389355)/(-17100) + -24 + 10/8.
4560
Let j = 5418 - 5394. Let d(f) = -f**2 + 8*f - 6. Calculate the least common multiple of j and d(5).
72
Let x(q) = 3*q**2 + 6*q - 5. Let w be x(8). Suppose -42 = -u - 4*r, -5*u + 10*r = 5*r - w. Let y = 7/65 + 4081/130. Calculate the common denominator of y and u.
2
Let a = 770/667 + -636059/529598. What is the common denominator of a and -41/3176?
3176
Let i = 18233 + -17393. Calculate the smallest common multiple of i and 8.
840
Let h = -70/263 - -3335/27352. Find the common denominator of h and 69/65.
520
Let w = 182 + -441. Let d = w - -265. What is the smallest common multiple of 122 and d?
366
Let p be (-4 - (0 + 0))*10. Let b = -3/27262 - -524882/804229. Find the common denominator of (4/p)/((-4)/730) and b.
236
Let m = 27626/3 + -9184. Calculate the common denominator of m and -20/699.
699
Suppose 18*s = 16*s + 184. Let j = -65 + s. Suppose 0 = -r + j - 15. What is the smallest common multiple of 16 and r?
48
Find the common denominator of 107/126 and (2 + 50/(-24))*14320/(-3080).
1386
Suppose i + 209 = -10*i. Let h = -2555/2 - -30709/24. Find the common denominator of h and (-11 - 407/(-22))*i/18.
24
Let p = 20685 + -827459/40. Suppose 7*k = -186 - 234. Calculate the common denominator of p and k/(-48) - (-892)/(-80).
40
Let m(f) = -3*f**3 - 6*f**2 + 22*f + 24. Calculate the lowest common multiple of 24 and m(-6).
648
Suppose 220 = t + 4*j, 0*t - 940 = -4*t - 4*j. Let c = t + -234. What is the smallest common multiple of c and 94?
282
Let z = 8 + -11. Let r(y) = -1026*y + 397. Let n be r(4). What is the common denominator of n/(-1056) + 2/z and -91/24?
96
What is the smallest common multiple of 256/16 + 0 + 2 and 5504?
49536
Let u be (-23)/(-5) + ((-36)/(-30))/3. Suppose 0 = -2*a - u*a + 406. Let m = 64 - a. Calculate the lowest common multiple of m and 4.
12
Let t = -3612380959 - -1950684950447/540. Let f = 7106/5 + t. Find the common denominator of f and 109/18.
108
Let k be 2/(1 + -4 - (-179)/59). Let q = k - 193/3. Let j = 133/78 + -111/13. Find the common denominator of q and j.
6
Suppose 0 = -3*a + 3*r - 174, 0 = 10*a - 11*a - 4*r - 38. Find the common denominator of -33/40 and ((-1)/6)/((a/176)/27).
120
Let c be ((-3)/(-30))/(1/386). Let i = 4851/125 - c. What is the common denominator of 32/11 and i?
1375
Suppose 173*l - 2296 = 9*l. Calculate the lowest common multiple of 9704 and l.
67928
Suppose -5*x - x + 36 = 0. Suppose 16 = -x*v + 8*v. What is the lowest common multiple of v and 2?
8
What is the least common multiple of 63 and (((-14616)/(-45))/(-28))/(1 - (-182)/(-180))?
7308
Let c be 2 + -4 + (-64)/(-4) + 0. Let s(p) = p**3 - 12*p**2 - 25*p - 32. Calculate the lowest common multiple of 20 and s(c).
20
Suppose 5*q = 9*l - 14*l + 100, 5*q - 4*l - 100 = 0. What is the lowest common multiple of q and 474?
4740
Let r = 12 + -8. Suppose -378 = -2*n - 7*n. Suppose -12*m + 15*m - n = 0. What is the least common multiple of r and m?
28
What is the common denominator of 31/9 and 3*((-9921)/810 - -12)?
90
Let s = 694203/7 + -99179. Let l(d) = d - 1. Let v be l(0). What is the common denominator of v/(-3) - 436/48 and s?
28
Suppose -2*b - 2*m + 13 + 3 = 0, 3*m - 16 = -2*b. What is the common denominator of 1726/(-176) - 1/((-44)/b) and -1/104?
104
Suppose -25 = 3*m - 4*p - 6, -5 = m - p. Let h(n) = 2 - 12*n + 16*n - 52*n**2 + 62*n**2. What is the least common multiple of 11 and h(m)?
88
Suppose 280 = -39*u + 34*u. Suppose 2*l - z - 33 = -102, -l - 4*z - 21 = 0. Let p = l - u. Calculate the smallest common multiple of p and 11.
253
Let d = 66478/603 + 1934/67. Let q = d + -9587/72. What is the common denominator of q and -73/136?
408
Let d(t) = -3*t**3 - 32*t**2 - 62*t + 30. Calculate the lowest common multiple of d(-8) and 918.
6426
Let z(h) = -h**2 - 21*h - 64. Let g be z(-4). Suppose -2*p = -g*f + 90, -2*p = -1 - 5. What is the least common multiple of 56 and f?
168
Let h(m) = 2*m**2 - 7*m + 9. Let o = 94 - 92. What is the lowest common multiple of o and h(3)?
6
Suppose 3 = 3*o, -862*r - o - 17 = -864*r. What is the smallest common multiple of r and (-6)/(2 - 110/52)?
468
Calculate the common denominator of -97/1760 and (2 + (-478)/240)*11742/1216.
14080
Suppose -84*q + 80*q = -4*n - 16, 5*q - 3*n - 16 = 0. Let l(c) = -2*c + 18. Let w be l(9). Calculate the smallest common multiple of 17 + -10 - (w + 3) and q.
4
Let i = 3/93071 + -11821169/35739264. Calculate the common denominator of i and -91/16.
384
Let w = -7 + 3. Suppose -r + 31 = -25*q + 26*q, -2*r + 56 = 4*q. What is the lowest common multiple of (-11 - r)*w/5 and 8?
72
Let b(j) = -j**2 + 9*j - 5. Let f be b(6). Let y = 10 - f. What is the common denominator of 19/12 and (109/(-6) + y)*1?
12
Let s be 0 + ((-18)/18)/((-1)/(-17)). Let t(u) = -u**2 - 39*u - 12. What is the smallest common multiple of 14 and t(s)?
2534
Suppose 560 = 4*r - 4*g, 84*g - 86*g - 416 = -3*r. Calculate the smallest common multiple of r and 476.
952
Let l = -884437/24 + 36857. Calculate the common denominator of -51/490 and l.
5880
Suppose 37 = -17*f + 105. Suppose 15 = 3*s, 0 = -f*h + 2*s + 86 + 84. Calculate the least common multiple of 33 and h.
495
Let k = -1205221/130 - -50104/65. Suppose 3 = 3*f - 0, 2*r - 5*f = 17009. Let m = r + k. Calculate the common denominator of -81/4 and m.
20
Suppose -15 = -4*b + x + 12, -3*b + x + 21 = 0. What is the least common multiple of 2340 and b?
2340
Suppose 3*g + 3 = 5*d + 29, 0 = 5*d + 20. Suppose -767 = g*m - 183. Find the common denominator of m/6*33/(-88) and -28/5.
20
What is the lowest common multiple of 8 and 28/(-10)*(-20350)/259?
440
Suppose 8*z - 986 = -602. Let y(o) = -11*o - 4. Let d be y(-5). Let x = d - z. Calculate the smallest common multiple of 90 and x.
90
Let x(s) = -15*s**2 + 78*s - 12. Let w be x(5). Suppose -w*g + 45 + 45 = 0. Calculate the common denominator of -20/3 and g.
3
Let f = -616735/54 + 11420. Calculate the common denominator of 18/37 and f.
1998
What is the common denominator of ((-409)/24540)/(20*7/(-522)) and 29/225?
12600
Let b = 46090 + -9863173/214. Calculate the common denominator of b and -21/52.
5564
Let n = 426999 + -5547820/13. Let w = 138113/572 - n. Calculate the common denominator of 7 + -1 + 7259/(-935) + (-2)/20 and w.
44
Let i = 101746 - 315412587/3100. Calculate the common denominator of -61/16 and i.
12400
Let q = 46/73573 + 7961481/563422034. Find the common denominator of q and -91/18.
68922
Let w = 21439/40 - 536. Suppose -2*l - 263 = -23. What is the common denominator of 2/(-10)*3 - 442/l and w?
120
Suppose -1066 = 38*t - 2981 - 1277. What is the smallest common multi