 f(9). Let a = h - -9. Suppose 0 = -3*x - 4*m + 6, 4*x - 23 = m + 4. Calculate the lowest common multiple of x and a.
6
Suppose 0 = -2*u + 5*u + 6. Let m = 35161/9 + -3905. Find the common denominator of -1 - (u + 64/(-6)) and m.
9
Let a = 147 - 147. Suppose 3*f - 5*b + 4 + 4 = a, -4 = -b. What is the smallest common multiple of f and (-15)/(-3 + 8) + 41?
76
Let x = 215 - 125. Let s = -31195 + 31294. Calculate the smallest common multiple of s and x.
990
Let u = 155 + -141. Suppose q - u = 19. Find the common denominator of q and (-1)/2 - 111/14.
7
Let t(y) = -y - 12. Let n be t(-7). What is the lowest common multiple of (4/n)/(1/(-5)) and (-19)/(-3) + 2/((-966)/(-391)) + (-18)/(-21)?
8
Let u(t) = t**2 - 29*t + 80. Let s be u(24). Let j be (-295)/4*s/180. Let x = j - 44/9. What is the common denominator of 35/23 and x?
46
Suppose 17*q - 2115 = 2*q. Let w = -7809 + 234217/30. Calculate the common denominator of q/42 + 9/21 + -5 and w.
210
Let w(c) = c**3 - 86*c**2 - 162*c - 716. What is the lowest common multiple of w(88) and 7?
3612
Let s = 11863104/4717421989 - -30/231031. What is the common denominator of s and 81/8?
163352
Let f(i) be the first derivative of -11*i**2/2 - 31*i + 11. Calculate the smallest common multiple of (-1 - -14) + 7/((-14)/(-6)) and f(-3).
16
Let p = -1 - -2. Let u(f) = -1 + 8*f**2 + 8*f - 6*f + 2*f**2 + f. What is the smallest common multiple of 30 and u(p)?
60
What is the smallest common multiple of (-6*1/4)/((-63)/126) and 5928?
5928
Let c = 1495/25512 + -18/1063. Let w = -329 + 3383/10. Find the common denominator of c and w.
120
Let b(a) = 3*a**2 - 32*a - 120. Calculate the least common multiple of b(-3) and 1832.
5496
Suppose 51 = 5*o + 16. What is the lowest common multiple of o and (-146)/8*(-6 - (-20 + 18))?
511
Let a = -415/76 - 3/76. Let h = -3695394/23 - -160670. Find the common denominator of a and h.
46
Let t = 150 + -52. Suppose 5*y - t = -3*l, -2*l - 4*y - 13 = -81. Calculate the smallest common multiple of 117 and l.
234
Let n = 6545814851087/4005 + -1634410691. Let f = 2/801 + n. What is the common denominator of f and 73/10?
10
Let i be ((-170)/36)/(159/106). Let u = i - -7981/2538. Calculate the common denominator of 47/10 and u.
1410
Suppose -30 = -3*n - 0*n. Suppose 2*r + 2776 = -3*c + 2773, 5*r = -c - 14. What is the least common multiple of n and c?
10
Suppose 5 = 2*y - 9. Suppose 16*v - 138 = -y*v. What is the smallest common multiple of v and 42?
42
Suppose -3*r - 681 = -3*u, 12*r - 11*r + 683 = 3*u. Calculate the least common multiple of 156 and u.
2964
Suppose 0 = y + 1, 260 = 5*n - 2*y - 132. Let d = n - 79. Calculate the common denominator of 8 + -10 - d/((-106)/(-211)) and 69/10.
530
Let i = -367 + 379. Suppose i*l = 11*l + 22. What is the least common multiple of l and 7?
154
Let i be (-2 + 60740/30366)/((-27)/(-863946)). Let j = i - 1/723. Find the common denominator of 5/28 and j.
28
Suppose -20*p + 25*p = 60. Find the common denominator of -87/10 and (287/1120)/((-6)/p).
80
Let b = 51 + -42. Suppose -3*n = -0*n - b. Suppose -c + 1 - n = 4*d, 2*c = -2*d + 8. What is the smallest common multiple of 21 and c?
42
Let c = -2141973185/276 - -7760749. Let q = 58/69 - c. Find the common denominator of 97/22 and q.
44
Suppose g - 2*v = v - 5, -3*g + 2*v - 29 = 0. Let i = -43 - g. Let m = -8 - i. What is the lowest common multiple of m and 10?
120
Let l(w) = -1584*w**3 - 3*w**2 - 3*w + 9. Let p be l(-7). Let a = -3809186/7 + p. Let u = a + 968. Calculate the common denominator of 40/9 and u.
63
What is the smallest common multiple of 44 and 2/17 - ((-1029780)/(-102))/(-18)?
2244
Let x(h) = -h**2 - 8*h - 2. Let r(o) = 228*o - 25302. What is the lowest common multiple of r(111) and x(-6)?
30
Let u(j) = 2*j**2 - 28*j. Let h be u(14). Calculate the common denominator of -163/66 and (-10 - -10) + (-23)/(-6) + h.
66
Find the common denominator of -43/60 and 3/5 + (-115346)/(-19140) + -7.
1740
Let d(a) = 16*a + 592. What is the least common multiple of d(-15) and 48?
1056
Suppose -2*p + 0*p + 36 = 0. Suppose 359*u + 20 = 358*u + 4*d, 2*u - 3*d + 5 = 0. What is the smallest common multiple of p and u?
72
Suppose -4 = x, -15835 = -9*j + 2*x + 7303. What is the lowest common multiple of 6 and j?
7710
Suppose -41*h = -3579 - 6630. Calculate the common denominator of -7/69 and ((-70)/(-4))/7*h/15.
138
Let v be (3/(-6))/((-1)/(-84)). Let b = v - -57. Let t = b - -6. Calculate the smallest common multiple of t and 24.
168
What is the common denominator of (-6)/(-33) - ((-103807)/(-14520) - 7) and 83/220?
1320
Let y = -8430 - -8437. Suppose 0 = -4*a + 5*n - 11, -n = 4*a + 2*n - 13. What is the lowest common multiple of a and y?
7
Suppose 0 = -f + 3*l + 5118, -3*f - 43 + 15475 = 4*l. What is the lowest common multiple of 9 and f?
15408
Find the common denominator of 253/(-792) + (-44)/99 and -109/72.
72
Let z(m) = 5*m + 17. Let k be z(-4). Let b be 4/k*(-9)/6. What is the common denominator of b + 2/((-176)/(-244)) and 149/36?
396
Let p = -491/30 - -47/3. Calculate the common denominator of (-5)/(-6)*(-16)/50*10560/(-1716) and p.
390
Let n = -80 - -137. Let g = -77 + n. What is the common denominator of 27/26 and g/96 + 12/9*1?
104
Let y = -563 + 396. Let d = 177 + y. What is the smallest common multiple of 25 and d?
50
Let i = 2915113/84 - 34702. Find the common denominator of i and (-364)/(-117)*(-154)/112.
252
Let k be (4 - 13/3)/(24/(-30555)). Let b = k + -16531/40. Let y = -1828 + 11011/6. What is the common denominator of y and b?
30
Let i = 27 - 19. Suppose -x - 3 = 0, -278*x + 274*x = 2*s - 164. What is the least common multiple of s and i?
88
Let u = -5863 - -5919. Calculate the lowest common multiple of u and 56.
56
Let x(c) = -45 + 23*c - 8*c - c - 8*c. Let h be x(8). Calculate the common denominator of 23/15 and (h/36)/((-2)/568*-4).
60
Let q be 0/6 - (-7 - 0). Suppose q = -3*s + 10. Calculate the least common multiple of s/(-4) + (-70)/(-56) and 3.
3
What is the common denominator of 61/1740 and (-33)/44 - (23/87 + -1)?
1740
Let a(f) = -2 - 1 + 0 - 93*f - 3. Let s be a(-2). Suppose -8*l + s + 116 = 0. Calculate the least common multiple of 1 and l.
37
Suppose 0 = -1082*v + 1089*v - 132384. Let f = -605095/32 + v. Find the common denominator of f and -79/64.
64
Let o(i) = -i**3 - 29*i**2 + 7*i - 17. Let d(u) = -u**3 - 14*u**2 + 3*u - 8. Let l(s) = -5*d(s) + 3*o(s). Calculate the smallest common multiple of 36 and l(9).
1116
Suppose -3307*i + 840 = -3301*i. Calculate the lowest common multiple of i and 46.
3220
Suppose -4*m = -4*b + 580, -6*m + m = -b + 129. What is the common denominator of (b - 0)*1/6 and 1605/(-18)*-8*2/(-400)?
30
Suppose 2*m + 8*c = 12*c + 412, -c = 3*m - 653. What is the smallest common multiple of m and 66?
2376
Suppose 0 = u + 5*j - 68, 1168*u - 1166*u = 3*j + 123. What is the lowest common multiple of u and 5964?
17892
What is the common denominator of 199/1393 + 2326/84 - 4 and -37/10?
30
Let c = 5632 - 5617. Calculate the lowest common multiple of 84 and c.
420
Let w(x) = 26*x**2 - 17*x + 4. Suppose -13*z + 52 - 13 = 0. What is the lowest common multiple of 17 and w(z)?
187
Let l(w) = -w**2 - 58*w - 221. Calculate the smallest common multiple of l(-51) and 608.
10336
Let l = -5 + 10. Let b = 860 - 860. Suppose -2*t + 2 + 2 = -k, b = 3*k - l*t + 7. What is the smallest common multiple of k and 22?
66
What is the common denominator of ((-8)/132)/((-1300)/1470) and -31/20?
2860
Suppose -55 = -5*z + 5*u + 100, 0 = 5*z - 2*u - 152. Suppose -q - 10 = q, -4*q + 160 = 2*j. Calculate the least common multiple of z and j.
90
Let i be (50/(-28))/5*46/10. Let p = i + -367/126. Find the common denominator of p and -11/109.
981
Calculate the common denominator of (-1250)/9450 - (62/30 - 2)*-3 and -34/1953.
29295
Let t = -32 + 1023/32. Let a = -8/4029 + 278177/88638. Find the common denominator of t and a.
352
Suppose -4 = 3*h - 16. Let b = -114 + 213. Suppose b*t - 93*t = 120. Calculate the least common multiple of t and h.
20
Let t = 151077491/702 + -215210. What is the common denominator of -37/52 and t?
1404
Let y(d) = d**2 - 9*d + 6. Let r be y(9). Suppose -374 = -r*s - 1160. Let v = -94 - s. Calculate the smallest common multiple of 7 and v.
259
Let x = 9818025279/6943090 - 6/