(-279)/(-18) - 1/(-2).
16
Suppose 5*c + 141 = 2*x, -5*x + 3*c + 337 = 6*c. What is the smallest common multiple of x and 2040?
2040
Suppose 3*t + 45 = 18*t. Let y = -2 + 3. What is the common denominator of t + (-5)/(-84) + y/(-4) and 64/3?
21
Suppose 4*d = 3*g + 2122 - 2308, -105 = -3*g - 5*d. What is the smallest common multiple of 6/8 - 183/(-12) and g?
400
Let f be 4/(8/2) + 0 + 0. Let b(c) = c**3 - c**2 + 2*c - 8. Let z be b(2). Calculate the lowest common multiple of z + -3 + (5 - -1 - f) and 22.
22
What is the lowest common multiple of 112 and (-19)/(1197/(-82890)) - 16/(-56)?
5264
Suppose -4*b = -2*y + 504, -y = -3*b - b - 244. Calculate the lowest common multiple of 78 and y.
780
Let t(g) = -107*g + 86. What is the smallest common multiple of t(-7) and 10?
1670
Let m(f) be the first derivative of -f**3/3 + f**2 + 12*f - 73. What is the least common multiple of 30 and m(0)?
60
Suppose 3*k + s = 158, 5*k = -3*s - 124 + 390. Calculate the least common multiple of 143 and k.
572
Let u(x) be the first derivative of x**3/3 + 5*x**2/2 - 5*x + 53. What is the least common multiple of 55 and u(-10)?
495
Let g be 2*(-3*31)/((-60)/80). Let z = -32 + 77/2. Calculate the common denominator of z and g/792 + 2/18.
66
Suppose 2*l + 4 = -0*l. Let f be 12/(-16)*2 + (-1)/l. Find the common denominator of 32/47 and f + 7/5 - (-214)/(-60).
282
Let h be (31302/(-6) - -2) + -5. What is the common denominator of (2/(-12))/(1940/h) and -15/22?
2134
Calculate the common denominator of 139/1320 and (-5 + 6 - -5) + ((-8919)/176)/9.
2640
Suppose 4*i - 48 = -4*j, 7*i - 12*i - 70 = -5*j. What is the smallest common multiple of j and 702?
702
Let n = 296 + -178. Calculate the common denominator of ((-14)/21)/(4/n) and -31/5.
15
Let y = 107684 + -436443256/4053. What is the common denominator of -46/45 and y?
60795
Let r = 5947 - 5275. What is the lowest common multiple of 14 and r?
672
Suppose g - 5 = -3. Let k(t) = -275*t - 7101. Calculate the least common multiple of k(-26) and g.
98
Let h = 329 - 303. Let f(g) = 2*g**2 + 7*g - 6. What is the least common multiple of (189/35)/(-1 - h/(-20)) and f(-6)?
72
Let h = 246503/2 - 13806019/112. Let s = h + 213/14. Let o = 1537 + -21527/14. What is the common denominator of o and s?
112
Suppose 0 = -273*f + 253*f + 360. What is the smallest common multiple of 150 and f?
450
What is the common denominator of (-1188230)/15426840 + 2/58 and -51/14?
12012
Let n be 1/((-4)/18)*(-100)/30. Suppose d - 3*w - 29 = -7*w, 0 = d - 3*w - n. Calculate the smallest common multiple of 15 and d.
105
Let t = 736674773/200982 - 157610/43. What is the common denominator of -50/27 and t?
42066
Suppose 10 = -5*t, 2*b - 110 = -6*t + 4*t. Suppose -222 = -11*y + 42. Suppose y*f = 19*f + 40. What is the smallest common multiple of f and b?
456
Let h = 14 - -106. Find the common denominator of (-934)/(-476) + (-2)/7 and 6 - (-2)/h*-129.
340
Let w = 2004948285/84718816 + 369/138656. Let o = 1248/47 - w. What is the common denominator of o and -127/18?
234
Let t(d) be the first derivative of d**4/4 + 8*d - 2. Calculate the smallest common multiple of ((-845)/78)/((-35)/84) - 4/(-2) and t(0).
56
Let h = 1 - -17. Let f(w) = w**3 + 25*w**2 - 16*w + 59. Let l be f(-25). What is the lowest common multiple of h and 3618/l - 4/(-34)?
72
Suppose 135*h - 901 = 152*h. Calculate the smallest common multiple of 120 and ((-12)/(-14))/(h/(-2597)).
840
What is the common denominator of (-34)/(-1560)*-683 + 15 and 43/624?
3120
Let h = 5236/241 + -6522719/300768. What is the common denominator of 17/36 and h?
3744
Calculate the common denominator of -67/1126 and (52/(-260))/((-8)/(-20)) - (0 - -8).
1126
Let q(u) = -9*u**2 + u + 1. Let d be q(3). Let f = 81 + d. Let p(v) = v**2 + 34*v + 42. Calculate the least common multiple of p(-33) and f.
36
Suppose -5*q + x + 790 = -2*x, 0 = -3*q - 3*x + 474. Let o = 162 - q. Let k = -12 + 29. Calculate the lowest common multiple of k and o.
68
Suppose 21 = 418*o - 417*o. Find the common denominator of 5/9 and 3 + 2349/(-210) + 6/o.
90
Calculate the least common multiple of 18 + -18 - (-5)/(20/144) and 210.
1260
Let f = -14209 + 15434. Calculate the lowest common multiple of 30 and f.
7350
Let h(f) = f + 4. What is the lowest common multiple of 6/(-11) - 15378/(-242) and h(17)?
63
Let i be 3 - (-166148428)/(-48) - (-2)/(-1). Let l = 3459276 + i. Let m = l - -2151. Find the common denominator of m and 81/22.
132
Let c(v) = -364*v + 31676. Calculate the least common multiple of c(87) and 3384/22 + (-2)/(-11).
616
Suppose -73*s - 20*s = -5265474. Calculate the least common multiple of s and 22.
622798
Let u = 50/221 - 7409/4420. What is the common denominator of (7/(-140)*2)/((-4)/(-170)) and u?
20
Suppose 8*k - 16 = 80. Let y be 2/k + (-2887)/(-12). Let s = -253 + y. Calculate the common denominator of 87/8 and s.
8
Suppose 17*d - 124 = -90. Suppose 3*k - 12 = -u + d, 0 = 5*k - 20. What is the smallest common multiple of 90 and u?
90
Let m = -1/2265 - -151759/9060. Let g = 74 - 66. Calculate the common denominator of g/2 + ((-17)/6 - 2) and m.
12
Let w = -2/18331 + 2438047/219972. What is the common denominator of 146/72 + 43 + -46 and w?
36
Let i be (7 - 5 - -2) + 131724/(-58). Let k = i + 41218160/18183. Let a = 4/57 + k. Find the common denominator of 44/7 and a.
77
Let a = 25907/6 - 4333. Let w = 109/2 - 4431/82. What is the common denominator of a and w?
246
Let m be 50/100*8*1. Suppose y + 283 = 3*b, m*y + 76 = 36*b - 35*b. What is the lowest common multiple of b and 60?
480
Let c(j) = 0 + 33 - 4*j**2 - 34*j - 33. Calculate the least common multiple of c(-8) and 4.
16
Let d = -7505 + 7670. Calculate the smallest common multiple of 1815 and d.
1815
Suppose 4*q = 2*p + 2410, q - 4*p + 1230 = 3*q. What is the smallest common multiple of q and 363?
1815
Let w = 3332 - 3268. What is the least common multiple of w and 220?
3520
Suppose -4*x + 215 = -5*o, 2*o + 5*x + 76 = -10. Let q = o + 61. Suppose 3*s + 89 - 119 = 0. Calculate the least common multiple of q and s.
90
What is the common denominator of -1/6 and 159/18 + 9/12?
12
Suppose -2*d = 2*d - 24. Suppose 24*j - 30*j + 2352 = 0. Let h = 394 - j. Calculate the smallest common multiple of d and h.
6
Let n(a) be the first derivative of 29*a**2 + 8*a + 8. Let w be n(-2). What is the common denominator of -3*10/w*-3 and 74/15?
30
Let s(h) = -h**3 + 20*h**2 + 48*h - 55. Let q = -311 + 333. What is the smallest common multiple of s(q) and 187?
561
Let q be -1 - -140 - (4 + -7 - -6). Suppose -6*i = 11*i - q. What is the smallest common multiple of i and 5?
40
Let s(l) = -19*l - 114. Let y be s(-7). Find the common denominator of -37/18 and (-2)/y + 3796/(-760) + -4.
90
Suppose -11*z - 90 = -332. Let v(r) = -14*r - 10. Let h be v(-4). Suppose -5*b = k - 38, -h = -3*k - b + 3*b. Calculate the lowest common multiple of z and k.
198
Let b = -11682 + 46827/4. Let o = -11788 - -1968564/167. What is the common denominator of o and b?
668
Let l = -76 - -103. What is the smallest common multiple of (-1 - -4)*(-55)/(-33) and l?
135
Suppose 5*j + 922 = -2*g + 132, -g = 3*j + 475. What is the common denominator of -13/102 and 2130/j*(-4)/(-18)?
408
Suppose -3*l - 2 = -32. Find the common denominator of ((-404)/(-80))/((-9)/9) and ((-67)/(-75) + -1)/(3/l).
180
Let u be 16 + (-7)/((-14)/(-10)). Suppose g - u + 1 = n, -g = -3. Let z = 15 + n. Calculate the lowest common multiple of 10 and z.
40
Let s = -22121 - -110621/5. Let v = 15924/13 + -1222. What is the common denominator of s and v?
65
Suppose 5*b = 16*b - 121. Suppose -16 = -b*i + 94. Calculate the lowest common multiple of i and 4/(-10) + 124/10.
60
Let u(s) = -2*s**3 - 4*s**2 - 11*s + 9. Let o be u(6). What is the common denominator of (-21)/(-28) - o/324 and 127/18?
54
Let i(v) = -8*v + 112. Let d be i(-24). Let y = d + -288. Calculate the smallest common multiple of 22 and y.
176
Suppose 107*t + 26 = 111*t + 2*s, -5*t = -4*s. What is the least common multiple of t and (-7)/(42/(-8)) - (-16)/6?
4
Suppose -3*c - 5*i = -178, -c - 11*i + 31 = -15*i. Suppose 2*w - 3*t - 102 = 0, 0 = 2*w - t + 24 - 126. Calculate the least common multiple of c and w.
51
Suppose 144*q - 124*q - 10520 = 0. Calculate the lowest common multiple of q and 28.
7