on multiple of 19 and r.
190
Calculate the lowest common multiple of (53768/64)/13 + 24/64 and 2795.
2795
Let i = -6518 - -195517/30. Calculate the common denominator of i and 279 + -293 - 223/(-24).
120
Let o be 5749527/80 - (-3 + 2). Let t = -71871 + o. Calculate the common denominator of 97/16 and t.
80
Suppose -3*v = -5*y - 4, -4*y - 8 = -3*v - v. Find the common denominator of 3 + -3 + 16/v and ((-2)/(-8))/((-609)/(-116)) - 3.
21
Let q = 7/10642 - 283525/2298672. Find the common denominator of q and 95/486.
3888
Suppose -30*r - 43*r - 32850 = 0. Let a = 1331/3 + r. Let o = 148073/25386 + 2/4231. Calculate the common denominator of a and o.
6
Let r(u) = -u**3 - 8*u**2 - 11*u + 5. Let j be r(-7). Suppose -j + 31 = -w. Find the common denominator of w - (147/(-12) + 4) and -20/3.
12
Let j be -2 - (4 - 4)*1. Let t = -2/5593 + 9931/1598. Find the common denominator of (22/484)/(j/18) and t.
154
What is the least common multiple of 6/(106419/(-7602) + 14) and 10?
25340
Suppose 2*w - 16 = 2. Calculate the smallest common multiple of 51 and (42/w)/(1/9).
714
Suppose 93 = 123*t + 831. Suppose 2*j - 8 = 4*j. What is the common denominator of -13/7 and t/j*(372/27 - 2)?
21
Suppose 22 + 20 = 3*l. Suppose -p - 14 = -8*p. Calculate the least common multiple of p and l.
14
Calculate the lowest common multiple of ((-288)/(-6))/((-17)/(-357)) and 648.
9072
Let z = -5991292 + 23509829683/3924. What is the common denominator of -67/63 and z?
27468
Let f = 14712 + -176651/12. Find the common denominator of f and -37/177.
708
What is the least common multiple of 22 and -5 + 3 + -5 + 617?
6710
Let s = 72 - 54. Let i be -2*(0 - 10/12*3). Suppose -5*b - 14 = -2*k, -5*k - 26 + 96 = i*b. What is the lowest common multiple of s and k?
36
Let s = 39 + -33. Let k be (-87303)/(-176)*s*4. Let r = 11907 - k. What is the common denominator of -99/26 and r?
286
Let k = 30 + -52. Let q = k - -17. What is the smallest common multiple of 28 and 4/q + 864/80?
140
Suppose 8 - 8 = 4*d. Suppose -l + 5 - 7 = d. Calculate the common denominator of 5 + 0 + l + (-193)/30 and -149/24.
120
Let a = -481/19 + 32467/1311. Calculate the common denominator of -73/1785 and a.
41055
Let m be ((16/(-6))/4)/(4/(-42)). Find the common denominator of 137/12 and -7 - m/(-5740)*5862.
2460
Suppose -1248*b + 1257*b = 504. Calculate the smallest common multiple of 18 and b.
504
Suppose -7*z + 4*z = 3*r + 258, -3*z = 2*r + 254. What is the common denominator of 8/16 - z/44 and -7/8?
88
Let b = -67 + 69. Suppose -3*t + 75 = 3*o, -o + 45 = -b*t + 5. What is the lowest common multiple of 15 and o?
30
Let q = 101 + -11. Suppose 5*h - 117 = 63. What is the lowest common multiple of h and q?
180
Find the common denominator of 8 + (-14 - (-1865)/312) and 41/288.
3744
Let v be (-7)/(28/40) + 4. Let z be 4/v - 13034/(-21). Let x = z + -11167/18. Find the common denominator of x and 85/12.
36
Suppose 8*w = 3 - 3. Let k(r) = 4*r + w*r - 5*r + 7. Calculate the least common multiple of 2 and k(3).
4
Let y(m) = m**3 - 33*m**2 + 20*m - 64. Let n be y(33). Find the common denominator of 1 - n/576*3 and -43/2.
48
Let v = 176 - 248. Calculate the common denominator of 30/(-100)*(-35)/v and -26/3.
48
Calculate the lowest common multiple of (4 - 13)*(-50 + -3*(-1 - 0)) and 30.
4230
Let k = -2797/22 - -127. Let a be ((-14)/(-7))/(2/(-279)). Find the common denominator of k and a/81*6/4.
66
What is the least common multiple of (666/7)/((-40 - -75)/245) and 7?
4662
Let w(k) = -k**3 - 15*k**2 - 27*k + 15. Let z be w(-13). Let m = -27 + z. Calculate the lowest common multiple of 5*m*(-4)/(-5) and 16.
16
Suppose -4*z + 52*u = 54*u - 154, 49 = z - 3*u. Let a = 87 + -7. What is the smallest common multiple of a and z?
80
Suppose -365*d + 321417 + 255648 = 0. What is the least common multiple of d and 24?
12648
Suppose 2*z - 1 = 5. Let c(f) = z + 5*f - 17*f - 4. What is the lowest common multiple of c(-1) and 5?
55
Let z(p) = 16*p**3 - 2*p**2 + 3*p - 2. Let r be z(1). Calculate the smallest common multiple of 122 and (-15)/6*(-36)/r.
366
Suppose -c + 213 = 193. Find the common denominator of 44/9 - 2/(-3) and (-125)/c*(-10)/(-3).
18
Let w be (-2)/((-1)/(9651/(-14))). Let i = w - -289243/210. Find the common denominator of 28/(38808/(-3795)) - (-21)/6 and i.
210
Suppose -11*j + 3 + 41 = 0. Suppose -o + 0*o + 5*v = -47, -j*v = 2*o - 80. Calculate the least common multiple of 56 and o.
168
Suppose 0*x - 4*x = 0, 15*x - 11*x = -3*m + 3528. What is the lowest common multiple of 72 and m?
3528
Suppose f - 8 = 10. Let k = -1193 - -1223. What is the lowest common multiple of k and f?
90
Let u = 485 - 455. Let t(c) = -c**2 + 10*c + 79. What is the smallest common multiple of t(12) and u?
330
Suppose -2*q - 6 = -4*l - 0*l, -2*l = -4*q. Suppose 0 = o + 3 - 6, o = l*m - 19. Calculate the lowest common multiple of m and 22.
22
Suppose 5*s - 4*m - 67 = 0, 6 + 0 = 3*m. Find the common denominator of ((-81)/s)/((-8)/(-10)) + 0 and (56/(-180))/((-2)/(-20)).
36
Suppose 4*i - 11576 = -3*o, -7713 = -2*o - 19*i + 12*i. What is the smallest common multiple of 2316 and o?
11580
Find the common denominator of 9/(1836/170) - (-313)/(-66) and -95/693.
693
Let l(m) be the second derivative of m**4/12 + 3*m**3/2 - 9*m**2 - m + 6. What is the least common multiple of 106 and l(-11)?
212
Suppose -74*g - 571349 = -223*g - 162791. What is the smallest common multiple of g and 36?
16452
Suppose s - 2*s = 5*g - 138, -3*g + 78 = -s. Suppose -3*o + 3 + 0 = 5*d, -3 = -3*o + 2*d. Calculate the smallest common multiple of o*-4*(-27)/12 and g.
27
Let y be 8/(-2) - -1 - (4 - 12). Suppose -2*r + 329 = 5*w - r, -2*r + 328 = y*w. Let s = w - 52. What is the least common multiple of 48 and s?
336
Let y(c) = -31519*c - 2. Let d be y(1). Let i be d/(-31507) + -1 + 0. Let n = i + 751607/135030. What is the common denominator of n and -70/3?
30
Suppose -5 + 102 = 34*i + 29. Let m = -21 + 35. Let r = m + i. Calculate the smallest common multiple of r and 8.
16
Suppose 3*t + 82 = 4*o + t, -t - 1 = 0. Let w = -42 + 25. Let m = w - -21. Calculate the smallest common multiple of m and o.
20
Let n = -885306/7 + 126477. Suppose -3*k + 2*q = -q - 111, q = -k + 43. Find the common denominator of n and k.
7
Let w = 7039111/43800 + -2611/1752. Let a = 1607/10 - w. What is the common denominator of a and 83/30?
150
Let q(p) be the first derivative of p**3/3 + 7*p**2 + 34*p + 30. Let m be q(-9). Find the common denominator of (-76)/9 + m + 14 and -20/9.
9
Calculate the common denominator of 77/192 and ((-11)/(-300))/(621/1656).
14400
Let t be (3024/750 + -4)*(-1)/58538. Let j = -57941644109/29269000 + t. Let b = j - -1983. Find the common denominator of b and 93/2.
8
Suppose 41*k - 498 + 179 = 255. What is the smallest common multiple of k and 25?
350
What is the smallest common multiple of 4 and (-9 - -11 - -1444) + -4?
2884
Let s = -967541/288 + 20155/6. What is the common denominator of -25/216 and s?
864
Let k be 93/(-4) + 2/8. Let z = -24 - k. What is the lowest common multiple of z - (-4)/(12/39) and 18?
36
Let i = -62116 + 5217827/84. Calculate the common denominator of 41/280 and i.
840
Calculate the common denominator of 4/205 and (-158)/(-12) + (-290)/(-174).
1230
Let t = -232/33 + 11311/1551. Find the common denominator of 1981/840 + 2/(-20)*((-6 - 6) + 6) and t.
1128
Suppose -2*k + 2*i + 6022 = 0, 4*k + 7*i - 12074 = 5*i. Calculate the lowest common multiple of 638 and k.
33176
Let u = 2151 + -2135. What is the lowest common multiple of 5 and u?
80
Suppose -14*a + 1099 + 36589 = 0. Let j = a + -56510/21. What is the common denominator of j and 40/11?
231
Let v(s) be the first derivative of s**4/4 - s**3/3 + s**2/2 + 3*s + 22. Let t be v(-1). Calculate the common denominator of 83/20 and t - (1157/(-6))/(-13).
60
Suppose 4*w - 2*w = -h + 54, w - 2 = 0. Let z be (27/18)/3*-6. Calculate the lowest common multiple of 4/z - (-242)/33 and h.
150
Let y = 37 - 19. Suppose -14735 = -y*n + 19*n. Let g = 486331/33 + n. Calculate the common denominator of g and 151/30.
330
Let s = -1417/45746 - -11/534. Calculate the common denominator of -44/9 and s.
2313
Suppose -46 - 13 = -9*o - 5. Calculate the lowest common multiple of 240 and o.
240
Suppose -22*m = -219 - 177. Suppose 2*z + m = 8