v**2 + 11*v - 20. Let d be q(9). Let j be -2 + 7 - (-4)/d - 21. Calculate the lowest common multiple of j/(-12) - 53/(-2) and 14.
28
Suppose -8*n + 48*n - 3400 = 0. Suppose -w + 2*i + 31 = 0, 5*w - 2*w - n = 2*i. What is the least common multiple of w and 21?
189
What is the common denominator of -2*6/60 + -6 + 28706/4480 and -13/168?
1344
Let k = -1235 - -1238. What is the lowest common multiple of 1219 and k?
3657
Calculate the smallest common multiple of 422 and ((-3912)/(-2445))/((-2)/(-10) + 0).
1688
Suppose 0 = 8*z + 98525 + 133283. Let h = -869389/30 - z. Calculate the common denominator of h and 44/5.
30
What is the common denominator of 73/105 - (-10)/35 and (-560)/(-12600) + (-113)/(-495)?
1155
Let v be (-6)/15 + (-54)/(-10). Let b(w) = 2*w + 4. Let p be b(-5). Calculate the common denominator of 5/56 and (p*v/(-135))/((-4)/(-186)).
168
Suppose 228 = -11*f + 9*f. Let d = f + 98. Calculate the common denominator of d and (2 - 201/27)*3.
3
Let v = 2081929757/1254113616 + -10072/104649. Let b = v - 1/749. What is the common denominator of -31/8 and b?
16
Suppose 14 = 23*p - 124. What is the lowest common multiple of 2898 and p?
2898
Let u(h) = -123*h + 11. Let r be u(3). Let g = -338 - r. Let o = 147 + -61. Calculate the smallest common multiple of g and o.
860
Suppose 3*t - 8 = 2*r - 46, -5*r = 2*t - 76. Let v(n) = -3*n + r*n**2 + 4*n - 11*n**2. What is the lowest common multiple of v(-1) and 5?
20
Let r be 1012/10 - (-1)/(-5). Find the common denominator of (r + -24)/(0 + (347 - -1)) and 91/24.
696
Let d(v) = v**3 + 18*v**2 + 27*v + 22. Let j be d(-22). Let t be 2/(-7) - j/(-42). Find the common denominator of -53/8 and (3/t)/(30/25).
24
Suppose -45*c + 43*c = 28. Calculate the smallest common multiple of 848/14 + 8/c and 36.
180
Let x = -5289 + 6447. What is the lowest common multiple of 1351 and x?
8106
Suppose 2*q = s + 36, -2*q + 3*s + 0*s = -44. Suppose 2*p = 40 + 56. Suppose -4*i = 3*l - 58, -2*l + i + p = -i. What is the lowest common multiple of l and q?
176
Let v = 352 + -247. Suppose -v = -39*g + 34*g. Suppose -d = 18 - g. Calculate the lowest common multiple of d and 7.
21
Suppose 0 = -0*t + t - 1367. Let c = t + -2799/2. Calculate the common denominator of 0/(-2) - (-113)/(-12) and c.
12
Let v be ((0 + 3)*(-4)/12)/(-1). Suppose -4*m - 30 = -y, -5*m + v = -y + 35. Calculate the lowest common multiple of y and 164.
1148
Suppose -11736 + 75672 = 8*q. Let p = q - 359561/45. Calculate the common denominator of 59/15 and p.
45
Suppose -g + 4*f = 3*f + 572, -2272 = 4*g + 4*f. Let x = g + 6853/12. Calculate the common denominator of x and 1/5*705/132.
132
Calculate the common denominator of -5/1656 and 36/60 - 4908/(-1920).
6624
Let u = 181957/12 - 15172. Let n be (36/116)/(2/126). Let y = n - -397/174. Calculate the common denominator of u and y.
12
Let g = 467 - -18. Let i = -273 + g. Calculate the least common multiple of i and 5.
1060
Let g = -2 + 5. Suppose -272 = 55*o + 113. Calculate the smallest common multiple of ((-4)/o)/(g + 305/(-105)) and 4.
12
Suppose -12*u + 5*t - 6662 = -16*u, t = -4*u + 6670. Calculate the least common multiple of 20 and u.
8340
Suppose -35*v + 93*v - 1007 = 39*v. Calculate the lowest common multiple of v and 49.
2597
Let x = 730 + -745. What is the common denominator of (43/(-6))/(1133/33 + x) and 93/28?
812
Let z = -110 - -77. Let m = 39 + z. Suppose -9*n = -m*n - 18. What is the least common multiple of n and 1?
6
Let w(a) = -a**3 - 5*a - 8 + 4*a**2 - 2*a - 12*a**2. Let r be w(-8). Suppose -15*o = -12*o - r. What is the lowest common multiple of 36 and o?
144
Let d = -42/155 - -5219/4960. What is the common denominator of d and 11/156?
1248
Let k be (-127670)/12 - (-10 - -17). Let q = k + 10670. What is the common denominator of -67/8 and q?
24
Suppose -3*y - 16656 = -4*x, 3*y = -4*x - 0*x + 16656. Let b = x + -24877/6. Calculate the common denominator of b and -117/20.
60
Let d = 3229808/8630555 + -2/55681. Calculate the common denominator of d and 11/7.
1085
Let g = -9271197381 - -263505971765395/28422. Let i = -2/4737 - g. What is the common denominator of ((-74)/9 - 1) + (-270)/(-324) and i?
18
Let g = -68807 - -17752183/258. Let q = 450886 + -4057976/9. Calculate the common denominator of g and q.
774
Suppose 31*x - 16*x - 210 = 0. What is the smallest common multiple of (x*3)/(-2)*45/(-27) and 56?
280
Suppose 7*y = 10*y - 9. Suppose 2*r - 3*t - 13903 = -2*t, -r + y*t = -6964. Let s = r + -83261/12. Calculate the common denominator of s and 67/36.
36
Suppose 0 = 37*u - 11*u - 874 - 10. Calculate the smallest common multiple of u and 5.
170
Suppose 5*w = -g + 355, 2*g = -3*w + 887 - 198. Suppose -4*u - 9*r + g = -6*r, -85 = -u - 3*r. What is the least common multiple of 15 and u?
255
What is the least common multiple of 3 and 1250 - (-17 + 7 + 9)?
1251
What is the common denominator of 48/4015 and -1*(-78)/(-2628) + 0?
24090
Let c = -69 + 45. Let r be 4/c + 52/24. Find the common denominator of 139/6 and 113/20 + -1 + (2 - r).
60
Suppose 0 = -29*s + 16*s + 39. Suppose s*q - 27 = n, -8*n = 4*q - 3*n - 36. What is the lowest common multiple of 11 and q?
99
Let d = 95/2 + -333/8. Calculate the common denominator of 1124/(-1520) + (-18)/(-45) and d.
760
Let d = -9155/4 + 54875/24. Calculate the common denominator of (20/6)/(-30 - 2385/(-72)) and d.
120
Let h(r) = r**2 - 3. Suppose -3*m + 2*k + 22 - 5 = 0, 2*k + 8 = 0. Let q(g) = -g**3 - g**2 + 3*g - 4. Calculate the smallest common multiple of h(m) and q(-3).
30
Calculate the common denominator of (1/10096)/((-112)/784) and 7/6.
30288
Let p(c) = -44*c - 54. Calculate the lowest common multiple of p(-8) and 19.
5662
Suppose 3*w = -4*p + 56, p + 124 = -158*w + 163*w. Calculate the least common multiple of 1616 and w.
4848
Suppose 0 = -16829*i + 16825*i + 16. Calculate the lowest common multiple of i and 396.
396
What is the common denominator of 8*(-10072)/(-2816) + -6 - 21 and 14/(-12)*(-65)/154?
132
Let k = -388 + 334. Find the common denominator of (-27)/66*(-180)/k and 49/50.
550
Let m be 4 + -2 + -2 + 142. What is the common denominator of 2/(-8)*m/40 and 73/10?
80
Let i be 310755/4*6/60. Let w = i + -7780. What is the common denominator of (-2 + 0)*(51/(-30) - 1) and w?
40
Let p(f) = 35*f**2 + 311*f - 31. Suppose -2*a - 4 = -0. Let b(o) = -4*o - 2. What is the lowest common multiple of p(-9) and b(a)?
30
Find the common denominator of ((209/440)/(-19))/((-27)/212) and -13/243.
2430
Suppose 16*g - 21*g + 3010 = 0. Let v = g + -540. Calculate the smallest common multiple of 66 and v.
2046
Find the common denominator of (-10)/12 + ((-78352)/(-28272) - 2) and -25/76.
2356
Suppose 53*k - 2 = 55*k, -5*k = 2*l - 1. Suppose l*y = 98 - 65. What is the lowest common multiple of y and 127?
1397
Let v = 406 + -401. Suppose -4*b = 0, -9*z = -v*z + 5*b - 116. What is the smallest common multiple of 5 and z?
145
Let k = 4912 + -4763. What is the least common multiple of 1192 and k?
1192
Suppose -225 = -28*t + 25*t. Find the common denominator of 255/t - 1/(-5) and -43/9.
45
Suppose -5*r + 6*r = -5*f + 1187, -f = 2*r - 241. Let p = 255 - f. What is the smallest common multiple of 2 and p?
18
Let u(k) = k**3 + 22*k**2 - 10*k - 194. Let f be u(-22). Suppose 11*n - f = 238. Calculate the least common multiple of n and 144.
144
Let y(s) = -3*s**2 + 195*s - 307. Suppose h + h = 6. Calculate the least common multiple of y(63) and h.
213
Let n(h) = 2*h**2 - 4*h - 19*h**3 + 5*h - 35 + 20*h**3 - 5*h. Calculate the smallest common multiple of 180 and n(5).
360
Let n be (152/(-20))/(62/(-20) + 3). Let c = n - 55. Calculate the smallest common multiple of 14/8 - (1 + 2/(-8)) and c.
21
Let s = -1363 + 8119/6. Let n = 1088/189 - 43/14. What is the common denominator of s and n?
54
Let m = 206 + -40. Calculate the common denominator of 28/31 and (-4)/12 - (-7)/((-420)/m).
310
Suppose 0*k + 2*k = 4. Suppose k*n = -5*n + 630. Let o = n + -57. Calculate the lowest common multiple of 42 and o.
462
Suppose -9*u + 2783 = 1307. Calculate the lowest common multiple of 164 and u.
164
Let v = -6508 - -930610/143. What is the common denominator of v and -16/143?
143
Suppose 3*q + 1 = 13. Calculate the smallest common multiple of -3 + 11 - (-21)/(-3) and q.
4
Calculate the comm