 = c - -60. What is the smallest common multiple of 7 and d?
154
Let d(a) = -18*a + 119. Let f be d(22). Let v = -264 - f. Calculate the common denominator of v and 3/182.
182
Let q = -291749/621 + 6887/23. Let v = q + 171. Calculate the common denominator of -127/66 and v.
594
Let p(x) = -14*x. Suppose 4*t + 1 = 3*h + 9, -3*t = -2*h - 5. Let l = 1 + 5. What is the lowest common multiple of l and p(t)?
42
Let i(v) = -20*v - 856. Calculate the lowest common multiple of i(-43) and 1734.
3468
Let c = 305 + -180. Suppose 18 = -116*v + c*v. What is the lowest common multiple of 136 and v?
136
Let l = 91 - 53. Suppose -15*g + 42 = -12*g. Calculate the lowest common multiple of l and g.
266
Find the common denominator of 3/2219 and ((-12388)/(-2536) - 5)/(-1 + -1).
8876
Let h = -10523355340/4059 - -2592598. Find the common denominator of h and 7/4.
16236
Suppose -m - 5*b - 72 = 0, m + 4*b = b - 72. Calculate the common denominator of (m/(-28))/(4/21) and -8.
2
Suppose 5*h - 452 = 3*i - 4*i, 0 = 3*h + 2*i - 267. Let l = 163 - h. Calculate the lowest common multiple of l and 6.
72
Let h(r) = -r**3 - 3*r**2 + 2. Let d be h(-2). Let j(c) = -c**3 - 2*c**2 + c - 2. Let b be j(d). Find the common denominator of (-1)/(80/685) - b and 103/10.
80
Let g(z) = -104*z + 195. Let f be g(9). Let k = f + 972. What is the lowest common multiple of 126 and k?
1386
Calculate the common denominator of -39/158 and (-1)/(18/177)*3/(-12)*3.
632
Let o be (-56)/(-3)*(1023 - -3). Let w = o + -881039/46. Let z = 4135/356 - 17/534. Find the common denominator of w and z.
276
Let k = 166 + -1006. Let t be 3/4 + (-7250)/k. Let u = 325/14 - t. Find the common denominator of u and 89/4.
12
Suppose 138*y - 1366290 = -402084. Calculate the smallest common multiple of y and 6.
13974
What is the common denominator of -79/304 and 3810/(-90972) + 5/((-1260)/24)?
5776
Let y be (2/6)/((-4)/(-72)). Suppose y*c - 2*h - 7169 = 3*c, 0 = 2*c + h - 4770. Calculate the common denominator of -58/3 and 9/21 + 1672/c.
93
Let b(r) be the third derivative of -r**4/4 + 15*r**3 + 33*r**2. Calculate the lowest common multiple of b(13) and 36.
36
Let o be (-5 - 345308)/(-2 + -41164). Let y = 4/6861 + o. Calculate the common denominator of -3 + 151/(-30) + 4 and y.
90
Let j = -11 - -12. Let a be 1560/j*24/(-20). Let d = 7413/4 + a. Calculate the common denominator of -5/8 and d.
8
Suppose 608 = 5*g - 162. Let x = -21515/6 + 3597. Find the common denominator of (-28)/g + 593/(-66) and x.
6
Let k = -73048667/676 + 108060. Calculate the common denominator of -21/52 and k.
676
Let d be ((-810)/(-40) - 9)/((-6)/(-416)). Let b = 7037/9 - d. What is the common denominator of b and 44/15?
45
Let f = -3198 - -3201. What is the least common multiple of f and 1008?
1008
Let a be (-3 - 7/3)*3/2. Let p be 2*(-3)/24 - 50/a. Calculate the least common multiple of (-4)/p*(-27 + 9) and 27.
108
Find the common denominator of 49/1326 and (-55)/(-220) - 133/(-12).
1326
Let a(y) = -1778*y + 32116. Let h = 175 + -119. What is the lowest common multiple of a(18) and h?
112
Let a = -14327 - -14419. Calculate the least common multiple of a and 23.
92
Calculate the common denominator of 2/(-60)*20/(-15)*1218/364 and -67/15.
195
Let f = -250036/169365 + 1/8065. Let t be ((-2)/(4/(-3)))/(6/(-12328)). Find the common denominator of 10/108*t/(-115) and f.
189
Suppose 4*q - 1504 = -2*f, -5*f + 1532 = 4*q - 10*f. What is the lowest common multiple of q and 16?
3024
Suppose -o - 8 = -3*o. Suppose -6*s + o*s - y = -14, s + y - 6 = 0. Let q = 3 + -1. Calculate the smallest common multiple of s and q.
8
Let i = 102 + -48. Find the common denominator of 1/6*(-480)/i and (-67)/(1*(-7 - 3)).
270
Let x = 81 - 76. Suppose p + 17*b = 21*b + 8, -4*p = -x*b - 43. What is the smallest common multiple of 12 and p?
12
Suppose -5*v + 2*n = -0*v - 5945, 4*n = 2*v - 2394. Let d = v + -4677/4. Find the common denominator of d and (99/(-10))/((-6)/5).
4
Suppose -5*u - 4*j = -94, -153*u + 55 = -150*u + j. Let w(x) be the first derivative of -x**2/2 + 24*x - 2. What is the least common multiple of u and w(0)?
72
Calculate the common denominator of (333/180 - 2)*(41 - 3) and -16/41.
410
Suppose -10*j + 6798 - 5678 = 0. Calculate the smallest common multiple of 632 and j.
8848
Let t = 3601/3535 - -1/101. Let o = 11/7 + t. Find the common denominator of 25/2 and o.
10
Suppose 3763*b + 1230 = 3769*b. What is the smallest common multiple of b and 287?
1435
Let t = 636 - 626. Calculate the least common multiple of (-21306)/(-335) - 16/t and 8.
248
Calculate the least common multiple of 1604 and ((-4)/7)/(346/(-3633)).
4812
Suppose 2*h - 60 = 3*o, -47*o + 48*o = -5*h + 167. Suppose m - 6*m = -20. Calculate the least common multiple of 3 - (m*-7 - -1) and h.
330
Let h = 8789 + -8617. Calculate the smallest common multiple of 1462 and h.
2924
Let h be 3/((5 - 0) + -4). Suppose -4*r + 112 = -5*x + 5, 4*r - h*x = 109. Calculate the lowest common multiple of r and 7.
28
Let f(o) = 17*o**2 - 559*o - 30. Suppose v - 5*v = -100. What is the lowest common multiple of 6*(-4)/(-8) + v and f(33)?
252
Find the common denominator of (-3 - 210/(-87))*(-1)/1 and -63/5.
145
Let k(w) = 30*w - 23. Let c(b) = -2*b + 1. Let m(v) = 2*c(v) + k(v). Calculate the least common multiple of 170 and m(8).
1870
Suppose 17 + 17 = j. Calculate the common denominator of j/(2/(-3) + 6) and 1 - (-2 - 19/(-9)).
72
Let n = -7637977/104 - -73443. What is the common denominator of n and 346/80 + -6 - -3?
520
Suppose d - 4*a + 3 = 16, 5*a + 15 = 0. Suppose p + 0*p = d, 5*y - 2*p = 233. Let w = 50 - y. Calculate the smallest common multiple of 9 and w.
9
Let n = -24 + 30. Suppose -6*z = 2*z - 88. What is the least common multiple of n and z?
66
Let q be (-275)/330 - 170/12. What is the common denominator of 511/819*q/2 + 5 and 25/3?
78
Let g = -30 + 21. Let i be ((-10)/(-6))/((-3)/g). Suppose i*c - 7 = 18. Calculate the lowest common multiple of 9 and c.
45
Suppose -64*h - 104328 = -48*h - 292*h. Calculate the lowest common multiple of h and 7.
378
Suppose 0 = 25*b - 1325 - 2725. Find the common denominator of (137/24)/(b/24) and -53/11.
1782
Let z = 16631 - 5188897/312. Let d = -8273/14664 - z. Calculate the common denominator of d and -45/4.
188
Let i = 1363/76 + -51/19. Calculate the common denominator of 59/5854 and i.
11708
Suppose 5*j - 2*f - 26 = 0, f + 3*f - 4 = -4*j. Suppose j*x - 13 = 3*c, c = -2*x - 1 - 0. What is the lowest common multiple of 26 and c*((-55)/3)/5?
286
Let b(o) = -5*o - 28. Let t(j) be the first derivative of -j**4/4 - 2*j**3/3 + 3*j**2 + 9*j + 4. Calculate the lowest common multiple of b(-7) and t(-4).
119
Let x = 6 + 27. Let k(z) = 13*z**3 - 204*z**2 + 412*z + 9. What is the smallest common multiple of x and k(2)?
363
Suppose 0 = -b + 14. What is the lowest common multiple of ((-22)/15 + (-2)/10)/((-25)/60) and b?
28
Suppose 0 = 19*w - 6575 - 45751. Calculate the smallest common multiple of w and 18.
2754
Let y = 3095/11 + -35479/132. What is the common denominator of 3/108*762/4 and y?
24
Let u(m) = -m - 4*m**3 + 3*m**3 + 4*m**3 - 2*m**3 - 12 + 5*m**2. Calculate the least common multiple of u(-4) and 86.
344
Find the common denominator of -93/10 and -11486*2/3888 + 0 + 6.
4860
Find the common denominator of (-2)/(-28)*(-1897)/(-114) + -1 and -19 - (10 + 2331/(-81)).
684
Suppose -5*u + 172 = 122. What is the common denominator of 13/226 and (6/u)/(244/7625)?
452
Suppose 0 = 2*k + 3*n - 10 - 5, 9*n = 5*k - 54. Calculate the lowest common multiple of k and 9.
9
Let v = -431475810502174813/265538 + 1624911728268. Let d = v - 2/18967. Find the common denominator of -1*1 + (-39)/(-48) and d.
112
Suppose 0 = -5*a - 129 + 14. What is the least common multiple of 24 and ((-28)/3)/(a/69)?
168
Let d = -1419023887/207570 - 486/6919. Let r = d + 6839. Calculate the common denominator of 131/234 and r.
1170
Suppose -616 = 37*o - 59*o. What is the common denominator of 48/11 and (36/o - -6)*(-1)/2?
154
Let j(s) = -5*s + 5. Suppose 4*a + 6*l = 10*l - 28, -l = 4*a + 8. Let t = -10 + 20. Calculate the lowest common multiple of t and j(a).
20
Suppose -3*a - a + 684 = 0. Let q be (6 + 123)/(38/(-38)). Let x = a + q. Calculate the least common multiple of x and 18.
126
Let j = 9598447359623/6