 q(z) = 2*z**2 + 3*z + 2. What is the least common multiple of 2 and q(c)?
4
Suppose 0 = 7*o - 132 - 64. What is the least common multiple of 0 - 1 - -7*1 and 636/30 - (3 + o/(-10))?
42
Let c(b) = 5*b**2 - 3*b - 8. Calculate the smallest common multiple of 48 and c(-11).
5040
Suppose 21 = -3*j + 51. Suppose 30 = 8*c - 3*c - 40. What is the smallest common multiple of j and c?
70
Calculate the least common multiple of 26 and 608/(-57)*135/(-20)*(-59)/(-4).
13806
Suppose -15 = -2*i + 3. Suppose 0 = -67*v + 96*v - 145. What is the smallest common multiple of i and v?
45
Calculate the smallest common multiple of 16 and (-2*24/20)/(3/(-290)).
464
Let v(r) = r**3 + r**2 - 1. Let h be v(1). Let c be 6*385/330*(-8)/(-14). Find the common denominator of ((-226)/5)/(c*h) and 5/3.
30
Suppose -14*t - 34*t + 6*t - 2142 = 0. Let f = -45 - -107. Let q = t + f. What is the least common multiple of q and 4?
44
Suppose 386 = -5*s - i, 8*i - 6*i = -2. Let x = 3642859/610530 - 1/20351. Calculate the common denominator of ((-14)/s - (-7119)/594) + -2 and x.
30
Let v be (210/(-9) + -4)/(28/6). Let q = v + 32/21. What is the common denominator of q and -82/21?
21
Let j be (6/4 + 1)*-2. Let q(i) = -10*i**3 - i**2 + 2*i. Let m be q(1). What is the least common multiple of (m/(-12))/(((-5)/4)/j) and 9?
9
Let t = 128 - 58. Let p = 92 - t. Calculate the smallest common multiple of 46 and p.
506
Let c be 40 - 5/((-10)/8). Find the common denominator of 41/18 and 3/c*1940/90.
198
Let g(h) = 31*h - 1767. What is the lowest common multiple of g(85) and 20?
4340
Suppose -4*v - 9 = -5*v. Suppose -5*s = -2*s - 5*m - 2175, 3*s - 4*m - 2178 = 0. Suppose 661 - s = -3*c. Calculate the smallest common multiple of v and c.
207
Let b = -69832/5 + 101954743/7300. Find the common denominator of -43/1460 and b.
7300
What is the common denominator of -1 - (8 + 8760/(-108))*1/78 and 7/130?
3510
Find the common denominator of ((-14)/(-78))/((-415)/1992) and -52/21.
1365
Suppose 5*a = 4*b + 10616, -2*a = 3*b + 2643 - 6917. Calculate the least common multiple of a and 56.
2128
Let b(n) = -73*n - 6555. What is the lowest common multiple of b(-91) and 561?
4488
Let h(v) = 2*v**3 + 3*v**2 - 8*v - 7. Let q(f) = f**2 + 7*f + 3. Let r be q(0). What is the lowest common multiple of h(r) and 30?
150
Let r be 567/2*(-16)/3. Let w be 1276/r + (-9)/3. Let s = 2/189 + w. Calculate the common denominator of s and -25/22.
66
Suppose 10*q - 63 - 77 = 0. Calculate the smallest common multiple of 77 and q.
154
Suppose 3*f - 2247 = -2*i, i + 689 = -5*f + 1802. What is the lowest common multiple of 90 and i?
16920
Let w be (-12)/((198/12)/(-11)) + -2. Let u = 7 - -1. Calculate the common denominator of -67/2 and w/u*92/(-6).
2
Suppose -19*f + 18 = -13*f. Calculate the common denominator of 99/10 and 164/456 + ((-16)/(-6) - f).
190
What is the least common multiple of (-69 - -80 - 6*2)/(1/(-291)) and 657?
63729
Let a = -18254963/406 + 44963. What is the common denominator of a and 107/112?
3248
Suppose -4*x = c - 5, 3*c + 27 = 17*x - 15*x. Calculate the smallest common multiple of x and 4125.
4125
Find the common denominator of 13/398 and (1/894)/((714/(-3843))/(-17)).
118604
Let f be (2079 + 16)*106732/10. Let i = f + -4695640051/210. Let g = i + -1167/7. Calculate the common denominator of g and 13/2.
30
Let a = -23033 + 552883/24. What is the common denominator of a and -17/214?
2568
Let b be (-4518)/(-752) - 2 - 16/4. Let g = b + 533/940. Calculate the common denominator of 59/12 and g.
120
Suppose 4*u + 86787 = -5*k, k + 5*u + 17349 = -0*k. Let d = -27347 - k. Let p = 938821/94 + d. What is the common denominator of p and 61/8?
376
What is the smallest common multiple of 2280 and (-2)/(24/28) - -1*1561/21?
6840
Let k = 20394 + -1835317/90. Find the common denominator of k and (-62)/4 + (-17 - (-19 + -4)).
90
Let r be 2 + (1 - (-4 - -7)). Suppose -3*x + 97 = -2*n - 35, 3*n + 5*x + 160 = r. Calculate the common denominator of 6/(-9) - 169/n and -35/12.
60
Suppose -5*u = 3*c - 5 + 4, 5*c - 39 = u. What is the lowest common multiple of c and 46?
322
Let s = 152 - 130. Suppose 280 = -94*i + 98*i. What is the lowest common multiple of i and s?
770
Suppose -5*u + 3*g = -222, 4*g - 3*g - 6 = 0. Let p(n) = -3*n - 2. Calculate the lowest common multiple of u and p(-6).
48
Calculate the least common multiple of 30 and 1 + ((-3)/8 - (20 - 59100/160)).
1050
Find the common denominator of -83/84 and 4/(-3) + (-7)/((-70560)/11265).
672
Suppose 0 = 5383*z - 5382*z - 12. Calculate the smallest common multiple of z and 892.
2676
Let u = 449/247 + -1089291/3952. Let c be (-7713)/28 - (-2)/(-7). Let f = u - c. Calculate the common denominator of -43/14 and f.
112
Let m be 2066*56/38563 + -1*3. Let z = 79489/11018 - m. Find the common denominator of z and 53/2.
14
Let w be -1*16*12/(-8). Calculate the common denominator of w/96*(-19)/(-6) and 186/(-40)*(-4)/(-6).
120
Let v = -37227 + 893585/24. Find the common denominator of v and 39/20.
120
Let m be 436985/(-405) + (-1 - 0). Let b = -1080 - m. Let j = -749/810 - b. What is the common denominator of 27/10 and j?
10
Suppose 7*r + 34 = 9*r - 4*v, -r = -5*v - 26. Calculate the smallest common multiple of r and 2977.
32747
Let x(u) = -u**3 - 4*u**2 - 3*u - 9. Let h be x(-4). Let z be (h - (-3338)/3)/((-8)/6). Let v = z + 826. Find the common denominator of v and 8/11.
44
Let q = 14022 + -462808/33. Calculate the common denominator of 119/720 and q.
7920
Let l = 184960/7 + -26526. Let k = l + 12611/126. Calculate the common denominator of k and -127/210.
630
Suppose 4*t - 20 = 0, 4*i - 7*t = -2*t - 253. What is the common denominator of i/20 + -3 + 4 and (5/2 + 0)*-2 - (-416)/8320?
20
Let x = 2278/133 - -102735/133. Let a = x + -791. Calculate the common denominator of a and -8*(11 + (-47250)/2480 + 8).
217
Suppose 2*s = -2*m + 34, 3*s + 13 = m + 2*s. Suppose 5073 = -11*f + 5183. What is the least common multiple of m and f?
30
Let l(d) = -40*d + 250. Let t be l(13). What is the common denominator of (-8)/(-40) + 2049/t and -49/12?
36
Suppose -4*o = 36, 318*a + 2*o + 9298 = 320*a. What is the lowest common multiple of 1740 and a?
13920
Let w = 20935/9293508 - -5/27174. Calculate the common denominator of -27/4 and w.
2052
Suppose 2*i + 536 = 4*w, -i - 667 = -5*w + 3*i. What is the lowest common multiple of ((-4)/20)/((-9)/w) and 21?
21
Let r be (-4)/(-12) - 29/(-3). Let o = -31829/60 - -2647/5. Find the common denominator of o and 1083/(-330) + (-4)/r.
132
Suppose -17*c + 20*c = 15*r + 450, 3*c = 5*r + 510. What is the least common multiple of c and 30?
180
Suppose 0 = 23*l - 422 + 2538. What is the common denominator of 59/144 and (-1)/5 - 1/(-144)*l?
720
Let z be 12/22*(-9)/(-41220). Let l = 2960236634233 + -894820329797777551/302280. Let i = l + z. What is the common denominator of i and 8/9?
72
Let y(s) = s**3 - s**2 + s + 44. Suppose 0 = 7*j + j. Let l be y(j). Suppose u = l - 16. Calculate the lowest common multiple of u and 8.
56
Let d be 33488/(-14170) + 1 + 1. Let w = -4/109 + d. Calculate the common denominator of w and 85/36.
180
Let d(z) = 6*z**2 + 9*z + 193. Let t be d(-10). Suppose 3*p - t = -646. What is the least common multiple of 3 and p?
57
Suppose 0 = 6*y - 93 - 99. Suppose 5*o - 36 = 64. What is the least common multiple of o and y?
160
Suppose 5 = -q + 3, -4*q = -3*f + 8. Find the common denominator of 107*(2/36 - f) and ((-2054)/(-48))/(32162/9896).
18
Suppose -24 = -3*n + 3*a, -2*n + 14 = -9*a + 6*a. Suppose n*l = 345 + 55. Calculate the lowest common multiple of 40 and l.
40
Find the common denominator of 73/108 and (-4*(-15)/(-84))/(2 - 276/210).
216
Let k(z) = 10*z**2 - 9*z + 18. Let q be k(8). Let w = q - 290. What is the lowest common multiple of w and 22?
3256
Calculate the common denominator of -1/2 and ((-276)/(-8))/(8172/16).
1362
Let v = 148597 + -49334149/332. What is the common denominator of v and -13/44?
3652
Let m(i) = -i**3 + 4*i**2 - 5. Let q be m(4). Let l be (-9)/72 + (-1198)/16. Calculate the common denominator of 9/10 - q/l*3 and 67/16.
80
Let b(f) = 2922*f**2 - 97*f + 97. Calculate the lowest common multiple of b(1) and 8.
11688
Let n = -69 - -129. Suppose 620 = -61*k + n*k. Calculate the common denominator of 91/16 and 18/20*k/60.
