and m?
90
What is the common denominator of -17/500 and 4/64 - 8365/18000?
4500
Let f = -1004 - -1005. What is the lowest common multiple of 0/(-2) + (-121)/(-11) and f?
11
Let l(v) = 5*v**2 + 21*v + 8. Let i be l(-6). Let s = 77 - i. Suppose s = 5*q - 45. Calculate the least common multiple of q and 22.
132
Let l = 8650/3 + -17149/6. Let x = -2/17157 + 125011/85785. Find the common denominator of l and x.
210
Find the common denominator of 46/801 and ((-3)/(-534))/((-108)/(-13128)) + 8/(-12).
801
Let c = -634 - -954. Calculate the common denominator of ((-138)/(-4))/(18/8) and ((-92)/20 - -5)/(24/c).
3
Let o be (426/(-9))/((-45)/48). Let m = -649/15 + o. What is the common denominator of m and 16/9?
9
Let z be -1 - 7/(273/891). Let m = -6737/234 - z. Calculate the common denominator of (-202)/8*8/36 and m.
18
Let p(b) = -219*b + 3. Let i be p(-2). Let y = 618 - i. What is the smallest common multiple of 7 and y?
1239
What is the common denominator of 23/220 and 3753/9450*(1 - (-21)/(-14))?
7700
Let t(y) = y**3 + 8*y**2 - 2*y - 1. Let j(x) = -x**2 + x + 5. Let z be j(-4). Let m be t(z). Let k = 3167/2 + m. What is the common denominator of 73/4 and k?
4
Let b = -1/2156590812657 + 91009371614979076165/5626545430222113. Let p = 16175 - b. Let n = p + 206099/93924. What is the common denominator of n and -23/12?
36
Let m(j) = 3*j**3 - 167*j**2 - 56*j + 68. What is the lowest common multiple of m(56) and 238?
476
Let o = 5574 - 4386. What is the smallest common multiple of o and 264?
2376
Let x be -977 - -1 - (2 - (-5 - -10)). Calculate the common denominator of -1 + -3*x/(-126) and -59/18.
18
Calculate the least common multiple of 693 and -14 + (-6 - -9) - -473.
1386
Let q = -6537 - -6549. What is the smallest common multiple of q and 504?
504
Let l = -414240409/810 + 511408. Calculate the common denominator of l and -113/540.
1620
Let t(i) = -1494*i - 249. Let f be t(-7). Let s = -326609/32 + f. Find the common denominator of s and -41/44.
352
Let h be 2/(-4309)*(-34426)/4 + -4. Let f = 335809/3981516 + h. Find the common denominator of -121/10 and f.
4620
Let q(x) = 2*x**2 + 7*x - 5. Suppose 5*s + 114 = 2*n, 2*n + 3*n + 3*s = 316. Calculate the smallest common multiple of n and q(-5).
310
Let y = -809/138 + 9/46. Let i be -1877*4/80*2. Let n = 188 + i. What is the common denominator of y and n?
30
Let f(q) be the second derivative of -q**3 + 15*q**2 + 3*q. Let g be f(12). Calculate the lowest common multiple of (-12)/g - 61/(-7) and 3.
9
Suppose 2*k - 5*f = 29, -36*f + 37*f = 3*k - 37. Calculate the common denominator of -91/418 and k.
418
Suppose -8 = -5*b - 3. Let z be (2/4)/b*(-14)/(-1). Suppose -z*p = p - 176. Calculate the least common multiple of 106 and p.
1166
Find the common denominator of -91/6 and (1353/304384*29)/(-291*2/(-4)).
37248
Calculate the common denominator of (-559)/264 + 7*33/154 and 113/60.
1320
Suppose -19*b + 20*b - 120 = 0. Find the common denominator of (-362)/(-60) + (2 - 3) and ((-8)/b)/(-1)*1250/(-16).
120
Let g = -92 - -95. Suppose l = -y + g*y - 125, 2*y - 5*l = 129. What is the smallest common multiple of y and 12?
372
Let f be (-14)/(-21)*(2 - (-10)/4). Suppose 6 + 3 = f*p. What is the least common multiple of p and 101?
303
Suppose l = 5*l - 8. Suppose 0 = -l*q + 49 + 11. Let p = 222 - 195. What is the smallest common multiple of q and p?
270
Let u be 1 + 398/12 + (-3)/18. Let b = -28 + u. Calculate the common denominator of 323/255*b/4 and 3/22.
110
Suppose -11*n - 11*n + 880 = -11*n. What is the smallest common multiple of 100 and n?
400
Suppose -5*g = 0, 2*z = 3*z - 5*g - 2. Suppose 0 = 4*p - z*w - 116, -5*w - 1 + 11 = 0. Calculate the smallest common multiple of 6 and p.
30
Let o(w) = 136*w - 318*w + 132*w - 16 + 5 + 2*w**2 - 11. What is the smallest common multiple of 31 - 0 - (1 + -3) and o(26)?
330
Let b = 148 - 126. Suppose 2*l + 2 + 14 = 0. Let d = b + l. What is the least common multiple of d and 6?
42
Suppose -k + 64 = k + 5*p, -5*p = 4*k - 118. Let d = -50 + k. Find the common denominator of d and ((-57)/(-18) + -4)*(-1 + 382/(-20)).
4
Suppose -48*k + 120384 + 14648 = -19864. What is the lowest common multiple of k and 11?
35497
Let z(d) = 205*d - 5712. Calculate the smallest common multiple of z(60) and 180.
32940
Let w = -573 - -594. What is the least common multiple of 9 and w?
63
Let n = -91709/198 + 5120/11. Find the common denominator of n and 121/582.
1746
Let z = -38/485 - 18079/10670. Calculate the common denominator of (-15)/(-9)*(-51)/6 and z.
66
Let k = -24 + 27. Suppose -4*s + 11 = -k*s. Suppose 43*c - 4*o - 14 = 41*c, c + 2*o = -5. What is the smallest common multiple of s and c?
11
Calculate the common denominator of 45/199 and 1798/(-597) + ((-1269)/(-329) - 18/21).
597
Calculate the common denominator of (1 + 0)*1/(-5)*(-172)/8 and 103/242.
1210
Let p = -488/35 + 93/14. Let t = -38/671191 + 53106646405/16108584. Let d = -3295 + t. What is the common denominator of p and d?
120
Let p = -4084481/33105270 + -156/25663. Find the common denominator of 57/4 and p.
2580
Let d be 4/(-20) + 48/15 + 2. Suppose -d*y - 4*c = -388, 4*y - 2*c = 231 + 69. Let n = y + -68. What is the lowest common multiple of 74 and n?
296
Suppose -4127*m + 149 = -4119*m - 283. What is the least common multiple of m and 360?
1080
Let f = -22054925/226 - -97588. What is the common denominator of f and 166/(-20) + 18 + -18?
1130
Suppose 5*l - 104 + 94 = 0. Suppose -58 = 2*a - 4*q, 6*q - 127 = 5*a + l*q. Let f = a - -30. Calculate the smallest common multiple of 25 and f.
175
Let g(k) = 2. Let q(u) = -5*u + 7. Let s(n) = -6*g(n) + 2*q(n). Suppose -16*z = 669 - 701. What is the least common multiple of z and s(-2)?
22
Let p be (-4)/24 - 5285/42. What is the common denominator of 7 - ((-808)/p + 1) and 163/84?
252
Let d(z) = -1570*z + 2. Let w be d(-3). Let f = w + -75487/16. Let b = -219481/22 - -9980. Calculate the common denominator of b and f.
176
Suppose -17*p + 61*p - 1936 = 0. Calculate the smallest common multiple of p and 16.
176
Let w = 93 + -122. Let g = w - -42. Calculate the least common multiple of g and 20.
260
Let a = -51/5 + 279/20. Let w = 0 + a. Calculate the common denominator of (-87)/(-174) + 134/40 and w.
20
Suppose 276*q - 4*p + 52 = 278*q, 4*q + 2*p = 92. What is the lowest common multiple of q and 9030?
99330
Let j = 4323 - 4062. Calculate the lowest common multiple of 29 and j.
261
What is the common denominator of 398/(-760) - (-196)/245 and -47/228?
228
Suppose 0 = -5*i + 3*q + 684, -44*i + 3*q + 144 = -43*i. Let r = 175 - i. Let w(j) = 2*j**2 - 7*j - 6. Calculate the least common multiple of w(6) and r.
120
Let w be (225/18)/(1/14). Suppose -9*m - 248 - w = 0. What is the common denominator of m and (6 - 0)/(-96)*(0 + 2)?
8
Suppose -14*z + 561 = -279. Suppose 2*o + 12 = 3*o. Calculate the least common multiple of z and o.
60
Suppose 3*v + 5*i - 416 = 0, -i + 544 = 4*v + 3*i. Suppose 0 = 28*y - 34*y + v. What is the lowest common multiple of y and 34?
374
Suppose 3*j = -5*d + 2*j + 19, j = d + 1. Let r = -1683 + 1695. What is the lowest common multiple of r and d?
12
Let c(s) = -s**3 - 17*s**2 + 37*s - 9. Suppose 16*k = 18*k + 38. Calculate the smallest common multiple of 14 and c(k).
70
Let f = -168/19 + 2149/228. Calculate the common denominator of f and 53/96.
96
Suppose 628 + 389 = 3*j. Let f(t) = -44*t**2 + 2504*t + 240. Calculate the least common multiple of j and f(57).
1356
Let f = 19117 + -917467/48. What is the common denominator of ((-5)/(-60))/(((-12)/608)/1) and f?
144
Let o(l) be the first derivative of l**3/3 - 5*l**2/2 + 13*l + 16. Suppose -s = 2*s + 5*b - 20, b = 5*s - 80. What is the least common multiple of s and o(7)?
135
Let v = -3/3455 + -134697/55280. What is the common denominator of v and 119/3324?
13296
Let z(r) be the first derivative of -5*r**2/2 + 54*r + 151. Calculate the least common multiple of 88 and z(6).
264
Let z = 29744/9 + -5235583/1584. Find the common denominator of 59/112 and z.
1232
Let x = -269788423/720 - -374706. What is the common denominator of x and 43/84?
5040
Let u be -2 - (-2 + (-230164)/(-42)). Let t(d) = -3*d**2 - 55*d - 1879. Let g be t(-45). Let x = g - u. Calculate the common denominator of x and 19/10.
210
Suppose a + 3972 = -0