 of -35/8 and 2 - (623/28)/(2/c).
8
Let x(m) = 31*m + 2. Let d(i) = 113*i + 1162. Calculate the smallest common multiple of d(-10) and x(2).
64
Suppose -4*f + 2037 = 292*q - 291*q, 2*f + 4*q - 1008 = 0. What is the lowest common multiple of 6 and f?
510
Suppose -2*u + 113 = 2*l - 75, 4*u = l - 104. Calculate the least common multiple of l and 60.
480
Let p(f) = 2*f**2 + 15*f + 2. Let a be p(-8). What is the common denominator of 9/(-54)*(-1215)/a and 17/8?
8
Find the common denominator of 19/442 and 237402/(-612612) + (-2)/(-7).
442
Let c = -998 - -15963/16. Find the common denominator of (-9368)/(-960) - (-2)/(-15) and c.
16
Let b = 8132611/118 - 68921. Calculate the common denominator of b and 41/20.
1180
Let i = -190 - -195. Suppose 0 = 3*o - i*m - 18, 3*o + 0*m - 18 = -3*m. Calculate the lowest common multiple of 7 and o.
42
Let z be (-4 + 8)/(1/(-3)). Let u = z + 17. Calculate the least common multiple of (1 + (5 - (0 + -3)))/1 and u.
45
Let g = 19187/3 + -70123/11. Let k = g + -3545/198. What is the common denominator of -77/4 and k?
36
Let r = 547 - 540. Calculate the smallest common multiple of 22 and (r/(-2))/(104/(-16) + 6).
154
What is the common denominator of (8/608)/(54/(-1476)) and -17/64?
3648
Suppose 19*d - 2069 = 2719. What is the least common multiple of 84 and d?
252
Let o(g) = g**3 - 16*g**2 - 12*g - 64. Suppose 26*k - 685 = -243. Calculate the smallest common multiple of 35 and o(k).
105
Suppose -2*n = 4*t - 190, 4*n + 50 + 233 = 5*t. Calculate the smallest common multiple of t and 392/22 - 10/(-55).
306
Let d = -9260 - -9266. Calculate the least common multiple of 624 and d.
624
Suppose -5*l = -l - 72. Let n be -4*(-30)/(-40)*2/3. Calculate the least common multiple of n/(-8)*-6*-4 and l.
18
Let d = 4/1453 + 46316/65385. Find the common denominator of -57/5 and d.
45
Let x = -1678 + 1708. What is the lowest common multiple of 222 and x?
1110
Let f = 22484 + -18488. What is the smallest common multiple of 2997 and f?
11988
Let y be (19/(-9))/(28/(-462)). Let g be 2 - 3/((-90)/802). Let l = g - y. What is the common denominator of l and -31/22?
110
Let s be (-1)/3 - (-2676140)/11424. Let w = s - 1403/6. What is the common denominator of 23/72 and w?
504
Let h = 17 + -11. Suppose -33*t - 238 + 1312 = -1698. What is the least common multiple of t and h?
84
Let l(m) = 119*m - 316. What is the smallest common multiple of 128 and l(4)?
640
Let x be (2 + 1853)/5*6. Suppose 0 = -2*d + 4*d + x. Let o = d + 5597/5. Find the common denominator of 7/10 and o.
10
Let k be -4*(-319)/2210 + (-4)/26. Let l = -6277/170 + k. What is the common denominator of l and 25/34?
34
Suppose 9*r - 585 + 234 = 0. Suppose -k - 4 = -r. What is the lowest common multiple of k and 55?
385
Let w = 201 + -118. Let a = -61 + w. Let m = 287 + -285. What is the smallest common multiple of m and a?
22
Let n = -4593/472 - 156/59. Find the common denominator of 71/208 and n.
208
What is the lowest common multiple of 146 and (-9201)/(-18) + (-8)/48?
1022
Let m(z) = z**2 - 6*z - 4. Let n be m(8). What is the common denominator of n/(-30) + 14/(-20) and 2/(36/45) - (-3 + -2)?
10
Let w(p) = 944*p + 16052. What is the lowest common multiple of 34928 and w(-17)?
34928
Let r = -1035/16 - -119/2. Calculate the common denominator of 218/(-4) + (1 - -5) and r.
16
Let y = -4 + 6. What is the smallest common multiple of y and 293/3 + 96/288?
98
Let c(o) = 19*o**2 - 83*o - 418. What is the least common multiple of c(-5) and 177?
1416
Let i(j) = j**3 + 20*j**2 + 83*j - 13. Let k(r) = -r**3 + 23*r**2 + 2*r - 59. Let h be k(23). What is the lowest common multiple of 182 and i(h)?
182
Let r = 323 - 163. What is the common denominator of (-1032)/r - -8 - 1 and -1/48?
240
Let h(b) = -2*b**3 + 12*b**2 - 25*b + 11. Let l(k) = -k**3 + 7*k**2 - 13*k + 6. Let y(i) = 6*h(i) - 11*l(i). What is the lowest common multiple of 30 and y(-4)?
60
Let w = -16212 + 18012. Calculate the smallest common multiple of 700 and w.
12600
Suppose 2636*g = 2624*g + 120. What is the lowest common multiple of (-8)/(-6)*1476/24 and g?
410
Suppose 7*v = 4*t + 9*v + 31038, -3*v - 15517 = 2*t. Let p = 46411/6 + t. Find the common denominator of -103/30 and p.
30
Let n = 1067175551/1420 - 751532. Find the common denominator of n and -93/20.
1420
Let v = -6713/2 - -181291/54. What is the common denominator of v and -62/213?
1917
Let t(d) = -876*d**2 + 2*d + 1. Let r be t(-1). Let i be (6240/117)/32 - (-1763)/2. Let w = i + r. Calculate the common denominator of -38/33 and w.
66
Suppose i - 6*i - 530 = -3*m, 5*i - 170 = -m. What is the least common multiple of m and 28?
700
Let d = -596 - -576. Find the common denominator of 2/4*28/22 and 54/216 + 213/d.
55
Suppose r + 4*a + 46 = 90, -2*r - 2*a + 112 = 0. Calculate the smallest common multiple of r and 375.
1500
Suppose 44*g + 128 = 60*g. Suppose g*q + 16 = 80. What is the least common multiple of 6 and q?
24
What is the common denominator of 44/35 and (-330)/(-1452)*(-8)/(-1140)*9?
7315
Suppose 0 = -3*c + 9*c - 930. Suppose 4*f + 349 = -c. What is the common denominator of -1 and (-537)/f - (-3)/18?
7
Let z = -2833001 + 3459094865/1221. Let i = 2/7921 + 15620/879231. Let v = z + i. What is the common denominator of v and 149/6?
66
Let s(i) = 294*i**2 + 10*i - 10. What is the lowest common multiple of s(1) and 196?
588
Let u be ((-1)/2)/(-4*14/560). Suppose -4*y = -20, -u*y + 60 = 5*n - 9*y. Let f = 69 + -37. What is the least common multiple of f and n?
32
Let u = 8133 + -7607. Calculate the lowest common multiple of u and 10.
2630
Calculate the common denominator of ((-2)/(-7))/(2960/68635) and 129/(-30) + 2/8.
40
Find the common denominator of 65/423 and (133/(-56) + (-2)/(-1))/((-810)/(-6408)).
4230
Let r be 1/3 - 37944/(-5964). Let y = r - 188/71. Let o = 1/381 - 4199/3048. Find the common denominator of o and y.
168
Let q(a) = 3*a**2 - 90 - 62 - 12*a + 204 - 5*a**2 + 3*a**2. What is the smallest common multiple of q(9) and 45?
225
Let s = -11379 - -68431/6. Let y = s - 125/3. Calculate the common denominator of y and (-57)/(-6)*6/(-21).
14
Let w = -91629 + 28221707/308. Find the common denominator of -67/1716 and w.
12012
Calculate the common denominator of 11/136 and (125/7140)/(-5 - (-11)/2).
2856
Suppose -2*g - 7*y = -665, -1718 = -5*g + 4*y - 3*y. Calculate the lowest common multiple of 7 and g.
343
Find the common denominator of 6/(-81)*2871/1218 and 103/130.
8190
Let z = -3973/10 - -397. Let i = -1 - 0. Find the common denominator of i/((-4)/3) + (-127)/12 and z.
30
Let y(f) be the first derivative of -f**4/4 - 4*f**3/3 + 21*f**2/2 + 30*f - 105. Calculate the smallest common multiple of 2 and y(-7).
30
Suppose l = 3*f - 1274, -66*f - l = -68*f + 847. What is the smallest common multiple of f and 244?
1708
What is the common denominator of 113/30 and ((-446)/120)/(-1) + -2*(-27)/(-18)?
60
Let z be (-6)/(-8) - (-2)/8*5. Suppose -14*d + 13*d + z = 0. Suppose 3*a - 4*a - d*w - 6 = 0, -4*a + 2*w = -26. What is the least common multiple of a and 7?
28
Let x = 106074527/592 - 179180. Calculate the common denominator of 40/7 and x.
4144
Suppose -14 + 59 = 5*h. Suppose h*k + 6 = 15*k. What is the common denominator of 17/24*k + -2 and -31/20?
120
Let i be 165/(-9)*(-140)/50*3. Suppose -z = 4*z. Find the common denominator of 4 and (4 - i/(-8))*(z + -2).
2
Let x = -2768413/1633860 + -2/45385. Calculate the common denominator of -73/423 and x.
1692
Suppose 0 = 23*y + 2*y - 150. What is the least common multiple of y and 126?
126
Suppose 2*q + 153646 = 154694. What is the smallest common multiple of q and 16?
2096
Suppose 4*p - 66 - 2 = 0. Let u(h) = -2*h**3 + 36*h**2 - 24*h + 20. Let i be u(p). Suppose 178 = -4*r + i. What is the smallest common multiple of r and 12?
12
Suppose 149 - 351 - 738 = -470*a. Calculate the least common multiple of (-1 + -5)*(-1)/2 and a.
6
Let i = -531/4 - -481/4. Calculate the common denominator of -1*(-12 - 9955/(-814)) and i.
74
Let s = -4156 - -149569/36. Calculate the common denominator of 2/(-14) + 2652/2688 and s.
288
Suppose 2*v - 3*f + 98 = 0, 5*f + 12 = -8. Calculate the common denominator of (-450)/(-176) + 10/v and (-1 + (-58)/9)/3.
216
Suppose -245 = -3*l + q, 0 = -5*l + 5*q - 0*q + 415. Calculate the common denominato