common multiple of 5/(1*p/(-6)) and q.
10
Let g(d) = -2*d + 73. Let p be g(34). Suppose 132 = 2*y + 2*o, p*y = -4*o + 194 + 139. What is the smallest common multiple of y and 12?
276
Let a = 7881 + -7869. Calculate the smallest common multiple of 4/(-14) - (-27)/21 and a.
12
Let d be (0 + 1)*(8 + -7). Let g be d/3 - 962/(-39). Suppose 2*t + j = 37, g - 5 = t + 2*j. What is the least common multiple of t and 11?
198
Let u = -491 + 502. Let f = 43 - u. What is the least common multiple of f and 52?
416
Let w = 124 + -108. Suppose o = -2*k + 162, -4*k = o - 3*o + 292. Calculate the smallest common multiple of w and o.
1232
Calculate the common denominator of (-154 - -155)*(-1)/26 and -50/2093.
4186
Let f = -14520985/211 + 68820. Let k = f + -7171/3798. Let p = 123439/12 - 10295. Find the common denominator of k and p.
36
Let r = 45 + -36. Let n = 30 - r. What is the common denominator of -69/16 and (n/20)/(51/34)?
80
Let t be (30 - (-3 + -2))/((-1)/(-2)). Let f = 38 + t. Suppose -f = -2*o - 2*o. Calculate the least common multiple of o and 15.
135
Suppose 3*r - 21 = 0, 27*l + 1952 = 30*l - 4*r. Calculate the least common multiple of l and 64.
10560
Let z = 27621 + -27611. Calculate the least common multiple of 0 - (-2 - (0 - -1)) and z.
30
Let h(b) = b**3 + 5*b**2 - 11*b - 32. Let w be h(-6). Let y(s) = s**2 - 6*s + 10. Calculate the lowest common multiple of y(6) and (-126)/14*(-2)/(-12)*w.
30
Suppose -784 = -8*t - 20*t. Suppose 1140 = t*s - 18*s. What is the lowest common multiple of 6 and s?
114
Let v = 18 + 15. Let b = -88715 - -88754. Calculate the smallest common multiple of b and v.
429
Suppose 35*n = 31*n. Suppose n = f + 3*u - 64, -f + 2*u + 3*u + 40 = 0. What is the least common multiple of f and 30?
330
Let r = 28/109 + -2432/981. Let o(p) = -3*p - 36. Let y be o(-3). Find the common denominator of (11 + -12)*(-132)/y and r.
9
Let r be -3*(41385/(-110) + 2). Let h = -1119 + r. What is the common denominator of h and 1370/72*((-72)/(-20))/18?
396
Let j be (-10)/(-25) - (-12)/443475*-14781. Let h = j - -2020207/1675350. What is the common denominator of h and -44/9?
306
Suppose 2*r = -3*r + 45. Suppose -4*t - 474 = -5*j, 27*t - 26*t = -5*j + 444. What is the smallest common multiple of j and r?
90
Let w = 373 + -367. What is the common denominator of (-1556)/420 + 6 + (-4)/w and 101/50?
350
Find the common denominator of -31/2 and -3 - 1144/(-133159)*349.
20486
Let t be (-11100)/1385 + 2 - (-1)/4. Let n = 4/277 + t. What is the common denominator of n and (-27)/63 + 54/28?
4
Let f = 4/2975 + 5129/294525. Find the common denominator of f and 17/126.
1386
Suppose 27*z - 7 = 16 + 4. Calculate the lowest common multiple of 141 and z.
141
Suppose 5*t - 58059 - 21321 = 4*k, t - 5*k - 15855 = 0. Let h = t - 381037/24. Let j = -177923/22 + 8083. Calculate the common denominator of j and h.
264
Suppose -t - 13 = -3*j - 5*t, 0 = -5*j + 5*t + 10. Suppose -7*d - j*d = -260. What is the least common multiple of d and (1 + (-34)/(-6))*3?
260
Let g(i) = 269*i**2 + 100*i - 8. Calculate the smallest common multiple of g(-5) and 9.
55953
Let b = -613/393 + 308058/196631. What is the common denominator of b and -77/8?
36024
Let d = 192040271/906 + -211965. Find the common denominator of 91/24 and d.
3624
Suppose -405 = -5*p - 5*m, -4*p + 5*p - 91 = m. What is the smallest common multiple of 88 and 3 - (-5 - p)/7?
176
What is the common denominator of (-6 + (22 - 10) - 29/(-18)) + -4 and 314/(-84) + (-6)/(-18)?
126
Let w(x) = 12*x - 59. Let n be w(12). Suppose -2*s - 3*u = -4*u + 47, -5*s - 4*u = n. Find the common denominator of s and 131/140.
140
Suppose 0 = 21*m + 55*m - 20520. Calculate the lowest common multiple of 300 and m.
2700
Let y = 17131 + -16651. Calculate the lowest common multiple of 24 and y.
480
Let f be (-2)/(18/3)*-3. Suppose -11*r = f - 56. Suppose r*x + 3*a - 15 = 0, -6*x + 4*a + 9 = -3*x. Calculate the smallest common multiple of 9 and x.
9
Let i be 793/4 + (90/24)/(-15). Let u = 262 - i. What is the smallest common multiple of 6 and u?
192
Let r be 1323/119 - (-4)/(-34). Find the common denominator of (-118)/295*r/(-5) and -119/30.
150
Let c be 5 + 382842/480 - 2/5. Let n = c + -804. Find the common denominator of n and 49/18.
144
Suppose -p + 3*p = -16. Let z(g) = -g**2 - 44*g - 269. Let v be z(-11). Let j = v + p. What is the least common multiple of j and 16?
688
Let o = -97459/42 - -2324. Find the common denominator of -5 - (-70)/42*160/42 and o.
126
Let i(o) be the third derivative of -o**4/12 - 5*o**2 + 21*o. What is the smallest common multiple of 13 and i(-52)?
104
Suppose -35*u = -31*u + 216. Let t be -6 + (3 - -2) + u/(-2). Suppose -t - 44 = -5*j. What is the least common multiple of j and 34?
238
Suppose 0 = -4*b + 5*o - 155, -5*b - 5*o - 113 - 137 = 0. Let h be 117/(-6)*(-1686)/b. Let m = h - -244661/335. Find the common denominator of m and -36/5.
335
Find the common denominator of (-10411)/24012 - (-8)/20*1 and -77/12.
4140
What is the common denominator of 2329/306 - -1*4/18 and 47/60?
60
Let n = -2869/2478 - 10/177. Let d be 0 - -3 - (-4190570)/1710600. Let j = d - -2/8553. Calculate the common denominator of j and n.
140
Let o = -2433802023/3142 - -81664308657139/105351260. Let u = o - 626/3353. Let m = 559 - u. What is the common denominator of m and 11/18?
180
What is the common denominator of (-6 - (-3)/2)/(-1 - 2316/(-138)) and 69/2684?
29524
Let t = -98 + 153. Suppose 4*w = w + q + t, -4*w + 4*q = -60. Calculate the lowest common multiple of w and 155.
620
Suppose 0 = -3*z - 14*q + 15*q - 3411, 6 = 2*q. Find the common denominator of 35/33 and 7 - z/(-312) - 5.
429
Calculate the common denominator of 85/18 and 4018/6480 + (-2231)/(-115) + -20.
648
Let t = 434/193 + -57113/11580. Find the common denominator of 41/588 and t.
2940
Let h(r) = 101*r - 1104. What is the lowest common multiple of 21 and h(18)?
714
Suppose 0 = 11*f - 5 + 5. Suppose -3*o = 3*h + 2*o - 45, -2*h - o + 37 = f. What is the least common multiple of 12 and h?
60
Suppose 0 = 2*a + 3*z - 5, 3*z + 7 = 5*a + 5. What is the common denominator of 5/2*(-182)/(-80) and a/(-12)*1/((-6)/134)?
144
Suppose -s - s + 5*m + 483 = 0, 0 = 4*s + m - 911. Suppose -2*b = -0 + 2, -5*b = -4*p + s. Calculate the smallest common multiple of p and 5.
280
Let x = 3448 + -20711/6. Let z = -156/5 - -31. Find the common denominator of z and x.
30
Let l = 127645/12 - 10629. Find the common denominator of l and -4 - -2 - 82/(-21).
84
Let c = 5805698283507761/75570 - 76825437120. Let a = c + 26/2519. Calculate the common denominator of a and (-2)/(-6) - 8/(-9).
90
Calculate the least common multiple of 280 and -12 + 1 + 9 + 362.
2520
Calculate the smallest common multiple of -11 + -7 + 75 + -17 and 360.
360
Suppose 0 = 3*k + 2*q - 29, -10*q + 11*q + 5 = 0. Calculate the lowest common multiple of k and 60.
780
Let y = 1745 - 167525/96. Calculate the common denominator of y and -77/8.
96
Let i = 68558 + -32427948/473. Find the common denominator of -29/5203 and i.
5203
Let r = -467/240 - -9/80. Find the common denominator of r and 103/2568.
2568
Suppose -3*l - 36 = -9*l. Let w = -2 + l. Calculate the smallest common multiple of w and (-58)/(((-52)/117)/(2/9)).
116
Suppose 0 = -4*x - 4*d + 6*d + 26, -4*x + 32 = -4*d. What is the common denominator of -55/24 and (618/(-132) + x)/((-3)/14)?
264
Let x(p) = 9*p**3 + 16*p**2 + 9*p - 100. What is the lowest common multiple of 540 and x(7)?
38340
Let y = 10 + 14. Suppose 10 = -0*k - 5*k, 4*j - k - 318 = 0. Let b = -59 + j. Calculate the least common multiple of y and b.
120
Find the common denominator of -67/10 and ((-2)/(-21))/((-3572)/(-4617)).
3290
Let v = 5620133/189 - 29736. Calculate the common denominator of 71/6 and v.
378
Let j = 19847/1038 + 8/173. Let h = 489 - 311. Find the common denominator of h*(-9)/36 + -3 and j.
6
Let w(o) = -5*o - 147. Let m be w(-32). Suppose -m*l + 60 = -12*l. What is the lowest common multiple of l and 9?
180
Let q(h) = -46*h - 450. Calculate the lowest common multiple of q(-19) and 318.
1272
Let o = -47/488 - -27041/24888. Let l = 225907/85790 + 2/25737. Calculate the common denominator of l and o.
510
Let z = 341 - 339. Calculate the common denominator of z + (-195)/(-9) + (-6)/12 and (92/(-