 d(-22) and 774?
7740
Suppose -952 = -4*b - 2*x, -2*x + 6 = 3*b - 706. What is the least common multiple of b and 240?
240
Let j = -170941/54 - -3167. Let w = -9275/4 - -2339. Find the common denominator of w and j.
108
Let q = 74849/20 + -3742. Find the common denominator of q and 101/6532.
32660
Suppose 86 = 6*b - 112. Let f(r) = -r**3 + 4*r**2 + 6*r - 3. Calculate the least common multiple of b and f(4).
231
Suppose 201 + 1077 = 6*b. Suppose -38 = -5*v + 2*u + 212, 4*v - b = -u. Suppose 3*y - v + 31 = 0. What is the lowest common multiple of 6 and y?
42
Let c = -20 + 32. Calculate the smallest common multiple of c and (16/(-28))/(9/(-567)).
36
Suppose -2*p + 0*p = z - 19, -z - 5 = 0. Suppose -p = -4*w, 4*w = r - w + 22. Find the common denominator of -23/22 and r/28*130/(-6).
132
Let s(o) = -o**3 - 9*o**2 + 6*o - 26. What is the least common multiple of 3248 and s(-10)?
3248
Let z(l) = -79*l + 3. Let c be 1/1 - -2*(1 - 3). Let f be z(c). Calculate the common denominator of 30/13 and (-6)/(-10) - 5384/f.
78
Let l(q) = -q**2 + 6*q - 6. Let j be l(3). Let i(f) = -1 - j*f - 2*f**3 + 19*f**2 + 5*f + f**3 - 25. What is the least common multiple of i(19) and 14?
84
Let x = 112649315973/2248 - 50110910. Let l = x + -16/281. Find the common denominator of l and -97/22.
88
Suppose -6*c + 7 = -137. Calculate the least common multiple of (8 - (2 + 7))*-183 and c.
1464
Suppose -4*t + 106957 = -3*q, -5*q - 207138 + 28907 = t. Let d = 1104910/31 + q. Let f = d - -6627/868. What is the common denominator of -65/18 and f?
252
Let v = -225147/1529 + 1620/11. Let k = 6829/834 - v. Let l = -62 - -25. Find the common denominator of k and l.
6
Let q(w) = -429*w**2 - 5*w + 6. Let o be q(1). Find the common denominator of 111/22 and (1312/o - -3)*(-39)/(-6).
2354
Let x(d) = -145*d**3 + 3*d**2 + 7*d - 6. What is the lowest common multiple of 864 and x(-2)?
3456
Let w = 1953 - 15007/8. Let d = -91181/1192 + w. Let o = d + 9169/2235. What is the common denominator of o and 1/27?
135
Let s(z) = -116*z - 1757. Suppose 5*v - 171 = -2*m, 2*v + 4*m = -m + 81. What is the least common multiple of s(-16) and v?
99
Let c = -338475 - -64987051/192. Calculate the common denominator of c and 67/416.
2496
Let k be 2/10 + (-87321)/(-67320) + 0. Let w = 7/264 - k. Let d = -879/2 + 452. Find the common denominator of w and d.
34
Suppose -9*s + 0*s + 567 = 0. Let b = s + -74. What is the smallest common multiple of (-306)/(-14) + b/(-77) and 16?
176
Let q(j) = -3*j**2 - 213*j + 15. Calculate the least common multiple of q(-63) and 6.
3054
Let m(z) = z**3 + 11*z**2 + 19*z - 24. What is the smallest common multiple of 238 and m(-8)?
1904
Calculate the smallest common multiple of 587 and (10 + -4 - 1) + 6 + -5.
3522
Let p = 117 - 175/2. Suppose -31 = -4*u + d, 3*u - d = -6*d + 29. Calculate the common denominator of p and (-162)/u + 2/4.
4
Calculate the common denominator of -8 - (-12 - (-5528)/1296) and 13/243.
486
What is the smallest common multiple of (-3)/(3/(-422))*(48/(-32) + 5) and 2321?
16247
Let b = 38 - 45. Let a(p) = -3*p - 7. Let r be a(b). Suppose r*f - 12*f = 2. What is the lowest common multiple of f and 2?
2
Let z = -100 + 138. What is the common denominator of 93/14 and z - 37 - (-51)/(-28)?
28
What is the common denominator of 79/6 and ((-4)/((-1008)/139))/3?
756
Suppose 70*j - 196*j + 16128 = 0. What is the smallest common multiple of j and 1136?
9088
Let h be 29364/(-30)*(51950/17312 + -3). Let o = 1/8115 - h. Calculate the common denominator of o and 5/48.
48
Let n = -473201 + 429666435/908. Calculate the common denominator of n and 67/2043.
8172
Let p(t) = 1060*t + 2962. What is the smallest common multiple of 6 and p(6)?
27966
Suppose -v - 8 = 0, 2*c - 4*v - 57 = -7. Let r(p) = -p + 7. What is the least common multiple of c and r(5)?
18
Suppose 3*o - 8*o - 6*o = 0. Suppose o*h = 3*a + 5*h - 111, -4*a + 5*h + 113 = 0. Let x = -77 + 81. What is the least common multiple of x and a?
32
Let q(u) = u**2 + 26*u + 31. What is the lowest common multiple of q(-28) and 957?
957
Suppose -46*u = 3614 + 8530. Find the common denominator of 73/8 and (-17)/15 + 66/u.
120
Suppose 5*p - 2*p - 436 = 4*g, -p = 0. Let m = -57 - g. Let u = m + -16. What is the smallest common multiple of 27 and u?
108
Let b be 3/(15/(-35)) + -2576. Find the common denominator of 4/(1960/b) - -5 and -71/2.
70
Let h(u) = 14*u**2 + 4. Let i be h(2). Let y be ((-1)/(5/(-6)))/(8/i). Suppose -2*z + y = 1. What is the smallest common multiple of 3 and z?
12
Let i = 218 - 213. Suppose m = i*m - 16. Calculate the lowest common multiple of 18 and m.
36
Suppose 7 = l - 3. Suppose -14 = 3*x + t, 3*x - 5*x - l = t. What is the common denominator of 78/x - (1 - 5) and -63/4?
4
Calculate the lowest common multiple of 648 and 38 + -1 - (-480)/(-120).
7128
Calculate the least common multiple of (18 + 72)*19*2 and 32.
27360
Let v = 431701/33 - 13083. What is the common denominator of v and (-4)/(-8)*(-17)/5?
330
Let q = 3279 - 68785/21. Let w = -2593/3 - -872. What is the common denominator of w and q?
21
Suppose 93*w - 2353753 = -28*w + 3075275. What is the least common multiple of w and 8?
89736
Let r(v) = 18*v + 3. Let y be r(4). Let f(o) = o**2 - 288*o + 99. Let w be f(0). Let p = w - y. Calculate the least common multiple of p and 21.
168
Suppose 0 = p + h + 4, -2*p - 6 = 4*h. Let k(r) = -r**3 - 2*r**2 + 14*r + 10. Calculate the least common multiple of 50 and k(p).
150
Find the common denominator of 43/7 and 122/180 + (-15)/300*10.
315
Let z be (17916/21)/4 - 8/28. Let x = z - 433/2. Find the common denominator of 59/4 and x.
4
Suppose -13*d = -16*d + 2*z + 3402, -18*z = 0. Calculate the smallest common multiple of d and 1134.
1134
Suppose 16*y - 968 = 38*y. Calculate the common denominator of (37/10)/(4/6) and 11/((-232)/y + 2).
80
Let b(i) = 5*i + 226. Let q be b(-40). Suppose -q*d = -51 - 1. Calculate the lowest common multiple of d and 16.
16
Let p(j) be the second derivative of -j**5/20 + 3*j**4 + 20*j**3/3 + 25*j**2 - 10*j - 1. What is the lowest common multiple of 1 and p(37)?
161
Find the common denominator of (6/126)/(109/1308) - 23/126 and 0 + ((-90)/728)/1.
3276
Let g = 1919477/81 + -23698. Calculate the common denominator of 713/(-81) - ((-4320)/(-30))/(-16) and g.
81
Suppose -3*w = q - 12, -3*q - 35 = 2*q - 4*w. Find the common denominator of ((-11)/15 - -3)/(q/15) and 4/(-15)*31/2.
15
Let l = -2455/3456 - -93/128. Find the common denominator of l and -107/180.
2160
Let z be 3426/(-108)*3/(-5). Let l = z + -71/6. Let p = -222/25 - 1081/50. Calculate the common denominator of l and p.
10
What is the common denominator of -62/1265 and ((-582)/4)/(30 + -3055 - (1 + 10))?
10120
Suppose s - 3*c - 162 = 0, 5*s - 388 = -3*c + 530. What is the lowest common multiple of s and 140?
1260
Suppose 5*z - 5 = -25. Let y(f) = -f**2 - 10*f - 4. Let q be y(z). Suppose -9*m + q = -5*m. Calculate the smallest common multiple of m and 4.
20
Let t = 669841567522 + -289660928726886373/432432. Let v = t + -7/5616. Calculate the common denominator of v and 20/21.
231
Suppose -8388*j + 9324 = -8376*j. What is the smallest common multiple of 4 and j?
3108
Let q(h) = -4*h**2 - 10*h + 36. Let u be q(5). Let a = u + 115. Let x(p) = 27*p. Calculate the least common multiple of x(1) and a.
27
Let l = -2789 - -2791. What is the least common multiple of l and 3302?
3302
Suppose -410 = -22*n + 17*n. Suppose -2*b + n - 22 = 5*f, 3*f = 5*b - 150. Let s = -169 - -175. Calculate the smallest common multiple of b and s.
30
Let h be (108/(-126))/((-3)/14). Let a = 1119407/196816 - 1/12301. Calculate the common denominator of (-707)/(-616)*h - 5 and a.
176
Let b = 1/9283916 + 590726291143/194962236. Let z = b + -3034. Calculate the common denominator of 32/81 and z.
567
Let z(m) = 847949*m**2 - m - 1. Let x be z(-1). Let i = -16952457/20 + x. Let v = i + -1727/5. What is the common denominator of 157/90 and v?
180
Let c = 6516 - 1068. Let a = -3786 + c. Let d = -44827/27 + a. Calculate the common denominator of d and 109/12.
108
Suppose 4*x = 12 - 0. Suppose x*j - 10 - 8 = 0. Calculate the common denominator of (178/60)/(j/(-18)) and 89/18.
90
Let h = 13841/4 - 3436. Calculate the common denominator of 7/(-1134)*-237*(-2)/(-2) and h.
