5/2*12/(-4 - -6). Let j(n) = n**2 - 7*n - 100. Calculate the remainder when 40 is divided by j(v).
0
Suppose -s - 4*a = 3*s - 36, 2*a = -5*s + 48. Let o(t) = 53*t + 416. Let x be o(-7). Suppose x = s*w - 5*w. Calculate the remainder when 62 is divided by w.
8
Let j(n) = n**3 + 28*n**2 - 202*n - 68. What is the remainder when 467 is divided by j(7)?
1
Let i = 27 - 3. Let w(c) = 7*c**2 - 3*c + 8. Let v be w(6). Suppose -2*p + v = 2*x, 2*x = -p - 3*p + 480. Calculate the remainder when p is divided by i.
23
Let f = -784 + 151. Let g = f - -658. Suppose 4*r - 5*n - 42 = 0, 2*r - 4*n + 11 = 35. Calculate the remainder when g is divided by r.
1
Suppose 12*a + 934 = 3202. What is the remainder when a is divided by 32?
29
Let o = 15 + -30. Let n be ((-124)/5)/(6/o). Suppose 4*u + 2*p = n, -2*u - 2*p + 76 = 3*u. What is the remainder when u is divided by 5?
4
Let x = 10749 - 10700. What is the remainder when 12886 is divided by x?
48
Let w be -191 + (-36)/(-6) - -5. Let s = w + 193. Calculate the remainder when 23 is divided by s.
10
Suppose -4*t - 17*u + 5407 = -18*u, 5*u = -2*t + 2709. What is the remainder when (-56)/(-84) + (-2 - t/(-6)) is divided by 78?
68
Suppose -4*q + 212 = -3*c, 97*q + c + 212 = 101*q. Suppose 94 = -r + 2*r - l, 0 = 4*r + 3*l - 369. Calculate the remainder when r is divided by q.
40
Suppose -5*m = -10*m + 200. Calculate the remainder when 30485/195 - 1/3 is divided by m.
36
Let p(o) = 23*o + 14. Suppose -58*z + 914 = 16*z - 1380. Calculate the remainder when p(5) is divided by z.
5
Let m(h) = -6*h - 8. Let s be m(-7). Suppose 4*f = u - 14, -7*f = 3*u - 11*f - s. Calculate the remainder when 115 is divided by u.
5
Let t = -219 + 224. Suppose -48 = -4*p - 2*v, -5*p = t*v - 2*v - 62. Calculate the remainder when p is divided by 9.
1
Suppose 67 = 141*y + 154*y - 26778. What is the remainder when 816 is divided by y?
88
Let i = 362 + -216. Suppose -3*l - 4*s + i = 0, -36 = -l + 3*s + 2*s. Suppose 23 = 3*k - l. What is the remainder when k is divided by 6?
5
Suppose -640875 = -136*j + 449301. What is the remainder when j is divided by 11?
8
Let q(c) = -3*c**2 - 41*c + 66. What is the remainder when q(-15) is divided by 22/5 + 16/(-40)?
2
Let h = -16 + 34. Let n(r) = -4*r**2 - 30*r - 21. Let p be n(-7). What is the remainder when h is divided by p - -8 - (1 - 7)?
4
Suppose 6323 = 24*f + 143*f - 3196. Calculate the remainder when 622 is divided by f.
52
Suppose -4*f + 2*x = 2598, -2*x = -8 + 6. Let b = f - -917. What is the remainder when b is divided by 45?
43
Suppose -67*p = -100*p + 4554. Suppose 2*n - 5*t = 43, -4*t - 17 = -5. What is the remainder when p is divided by n?
12
What is the remainder when 575162/(-42)*15/(-35) is divided by 57?
55
Suppose -3*a - 4*j = -14, a - 3*j + 3 + 14 = 0. What is the remainder when 176 is divided by a*(-43)/2 + 2?
41
Let w = -1255 - -1341. What is the remainder when w is divided by 24?
14
Let f = 5835 - 5030. What is the remainder when 1613 is divided by f?
3
Let a = -2414 - -2616. What is the remainder when a is divided by 15?
7
Suppose -15 = -x - 2*x. Suppose 0 = 3*p + 301*l - 304*l - 204, -2*l - 316 = -5*p. Calculate the remainder when p is divided by x.
0
Suppose 0*u - 27*u = 34*u - 3416. What is the remainder when 425 is divided by u?
33
What is the remainder when (7*-711)/(-7) - 9 - 4 is divided by 115?
8
Suppose 4*w - 64 = 4*d, -d = 2*w - 0*d - 47. Let q = -70 - -82. Suppose 4*x - 16 = q. What is the remainder when w is divided by x?
0
Let d = -30772 + 49040. Calculate the remainder when d is divided by 105.
103
Let u = -11 - -15. Suppose -3*k = -5*h - 6, 8*k + 2*h = 7*k - 9. Calculate the remainder when k - -7 - -15 - 6 is divided by u.
1
Let a be (-4 + 8)/((1 + 1)/2). Suppose 4*c = -a*q + 16, 0 = 5*q - c - 0*c - 50. Calculate the remainder when 14 is divided by q.
5
Let m(q) = 26*q - 59. Let o be (441/(-28))/(-3) - 2/8. Let r be m(o). Let a = r - 15. Calculate the remainder when a is divided by 21.
14
Let q = 34986 + -34964. What is the remainder when 7059 is divided by q?
19
What is the remainder when (-4)/2 - -145 - 1 is divided by -5*9/45*-49?
44
Let x(t) = 71*t**2 - t. Suppose -5*n + 2 + 3 = 5*p, -2*n = 0. Let c be x(p). Calculate the remainder when c/(-21)*45/(-6) is divided by 7.
4
Let i be (-2 + 2)/(-2) - -2. Suppose 0 = -i*g + 178 + 114. What is the remainder when g is divided by 47?
5
Let w(d) = -2*d**2 + 57*d - 304. What is the remainder when 470 is divided by w(21)?
8
Let k(s) = 17*s - 6. Let r be (-7)/(385/(-1826)) + 2/(-10). Suppose -w = -67 + r. What is the remainder when k(4) is divided by w?
28
Let h be ((-7365)/(-30))/((2/(-4))/(-1)). Let n = -452 + h. What is the remainder when 108 is divided by n?
30
Let i(z) = -17*z + 50. Let b be i(7). Let r = 149 + b. What is the remainder when r is divided by 54/2 + (-5 - -5)?
26
Suppose 13 = 5*m + 6*o - 322, 5*m + 5*o - 330 = 0. What is the remainder when 347 is divided by m?
42
Suppose -f = d - 146, 13*f = 15*f + 3*d - 297. What is the remainder when f is divided by 69?
3
Calculate the remainder when 1101 is divided by 24 - (-3)/(69/3634).
9
Let d be (-151)/(-3) + (-20)/15. Suppose d - 16 = 3*a. Let j = -1021 + 1119. Calculate the remainder when j is divided by a.
10
Suppose -109*k - 7484 = -61439. Calculate the remainder when k is divided by 69.
12
Suppose 0 = -5*g - 5, 5*z - 2*g = -4*g + 78. Suppose 3*f = z + 2. Suppose 320 = f*x - x. Calculate the remainder when x is divided by 23.
18
Let g be 0 + 4*(-5)/(-20) - -1. Suppose 3*o + g*f + 31 = 137, -2*o + 5*f + 96 = 0. Calculate the remainder when 72 is divided by o.
34
Suppose -50*r + 84*r = 44*r - 330. What is the remainder when 150 is divided by r?
18
Let h be (-2)/9*1 + 16/(-9). Let k be h + (-10)/(-2) + (-7 - -3). Calculate the remainder when 51 is divided by (-312)/(-24) - (k - 1).
6
Suppose 100*f = 2386 - 886. Let u = -15 + 32. Let z = f + u. Calculate the remainder when 93 is divided by z.
29
Suppose 2367 = 419*j - 416*j. What is the remainder when 796 is divided by j?
7
Suppose 124*g - 1934 - 2092 = 1430. What is the remainder when 1180 is divided by g?
36
Let m = 17 + 2. Let c(x) = -29*x**3 + 5*x**2 + 3*x - 1. Let a be c(-1). Suppose 45 = h - a. Calculate the remainder when h is divided by m.
18
Let x(q) = 2*q**2 + 211*q - 210. Calculate the remainder when 369 is divided by x(1).
0
Let v(j) = j**2 - 69*j - 54. Calculate the remainder when v(-9) is divided by 202.
42
Let r = 2167 + -2141. Let s be (-9)/6*104/(-3). Suppose 5*m = 3*k - s, 2*m + 41 = 5*k - 14. Calculate the remainder when r is divided by k.
8
Let b(f) = -107*f - 2444. What is the remainder when b(-26) is divided by 110?
8
Let m = -94 + 99. Let l(w) = 2*w**2 - 2*w - 3. What is the remainder when l(m) is divided by 22?
15
Suppose -19*c + 2*c = 1683. Calculate the remainder when 287 is divided by 130/8 - c/132.
15
Suppose -4458 + 109738 = 94*m. What is the remainder when 1133 is divided by m?
13
Let b(p) = p**2 - 4*p + 549. Let n be b(0). Let u = n - 435. What is the remainder when u is divided by 32?
18
Let x(z) be the second derivative of -z**5/20 + z**4/6 + z**3 - 3*z**2 - 12*z. Let r be x(3). Let t = r + 9. Calculate the remainder when 31 is divided by t.
7
Let q = -2100 + 2270. Calculate the remainder when 8159 is divided by q.
169
Suppose -9*v + 491 = 3*v - 109. Calculate the remainder when 2297 is divided by v.
47
What is the remainder when 392 - (-1 - 3 - -6)/(-2) is divided by 155?
83
Let d(x) = -x**3 + 11*x**2 - 12*x - 4. Let a(n) = -n + 11. Let y be a(0). Let g be d(y). What is the remainder when 24 is divided by g/(-10) - (-21)/(-35)?
11
Let l be (-16)/(12/3) + 153. Let h be 7/(-14) - l/(-2). Suppose h = o - 20. What is the remainder when o is divided by 16?
14
Suppose 3*l = -15*i + 10*i + 72, 2*i - 30 = -l. What is the remainder when 411 is divided by i?
15
Let u(n) be the second derivative of n**3/6 + 3*n**2 - n. Suppose y - 4*l - 33 = -7, 0 = -3*y - 2*l + 50. Calculate the remainder when y is divided by u(6).
6
Suppose -f - 12 = -3*f. Let a be (-448)/(-12)*(f - 0). Let p = a + -113. What is the remainder when p is divided by 28?
27
Let z = -67 + 32. Let r = -32 - z. Let g(i) = -2*i**2 + 34*i + 9. Calculate the remainder when g(17) is divided by r.
0
Suppose 0 = 12*q - 146 - 166. Calculate