late the remainder when 82 is divided by k.
40
Let l(a) = 47*a**2 - 184*a - 1921. What is the remainder when l(-10) is divided by 1532?
23
Let o = -13673 - -13721. What is the remainder when 286 is divided by o?
46
Let m = -590 + 869. Suppose 4*w - 5*w + 179 = 5*l, 5*l + 3*w = 187. Calculate the remainder when m is divided by l.
34
Suppose -5*b + 81*a = 80*a - 79, 5*b - 5*a - 95 = 0. What is the remainder when 28 is divided by b?
13
Suppose 2*h - 126 = p, -1706*p = 5*h - 1707*p - 324. Calculate the remainder when 11944 is divided by h.
64
Let x = 6899 - 5880. What is the remainder when 3070 is divided by x?
13
Let q = -8001 + 8044. Calculate the remainder when 515 is divided by q.
42
Let i be ((-14)/(-8))/(3/12). Suppose 0 = -i*u + 6*u + 104. Calculate the remainder when u is divided by (1 - -10) + -10 - (-27 + 1).
23
Let s be 1*(-3)/21 + (-58)/(-14). Suppose -2*n + 204 = z + 11, 3*z = s*n - 361. What is the remainder when n is divided by 48?
46
Suppose -5*m = i - 4705, 5*m + 6*i - 8*i = 4720. Suppose -m = -7*q + 17. Calculate the remainder when q is divided by 72.
65
Let j be ((-3)/(-5))/((-1)/(-290)). Let s = 303 - j. Calculate the remainder when s is divided by 44.
41
Suppose -5*j + 490 = 4*w, 3*w - 2798 + 2419 = 2*j. Calculate the remainder when 791 is divided by w.
41
Suppose -43*n - 79990 = -52*n - 86*n. What is the remainder when n is divided by 23?
14
Suppose -12*l + 13*l - 165 = 0. What is the remainder when l is divided by (-148)/(-111)*(1 + 2 + 15)?
21
Let t = 2556 + -2515. What is the remainder when 3278 is divided by t?
39
Let q(n) = -n**2 + 43*n + 185. Let j(p) = -p**2 - 7*p + 123. Let f be j(-13). Calculate the remainder when q(f) is divided by 9.
5
Calculate the remainder when (-1)/(-12) + 2614474/1608 is divided by 4.
2
Suppose -12107 + 33739 = 338*y. Calculate the remainder when 9782 is divided by y.
54
Let n = -14173 + 14226. What is the remainder when 1055 is divided by n?
48
Let d = -2217 + 2278. Calculate the remainder when 164 is divided by d.
42
Suppose 3*g = 7*g - 144. Let a(u) = u**3 + u**2 + 102. Let j be a(0). Let q = 279 - j. Calculate the remainder when q is divided by g.
33
Suppose -3*c = 2*l - 0*l - 43, 2*c = -l + 23. Suppose -5*j + 2*z = -98, -2*z + l - 95 = -4*j. Calculate the remainder when 71 is divided by j.
11
Let c = 2852 + -2821. What is the remainder when (-7 - -11)*(14 - -1) is divided by c?
29
Suppose 7*l - 11*l + 1090 = 3*g, -2*g - 5*l + 722 = 0. Calculate the remainder when 830 is divided by g.
98
What is the remainder when 2559 is divided by (-14)/(-12) + (-1992)/(-144)?
9
Let k(f) = 2*f**2 - 17*f + 18. Calculate the remainder when 349 is divided by k(8).
9
Let k(o) = -o**2 - 61*o - 319. What is the remainder when 67 is divided by k(-6)?
1
Suppose 2*m + 234 = -5*q, -2*q - m = 2*m + 87. Suppose -138 = 2*s - 298. Let t = q + s. What is the remainder when t is divided by 9?
5
Suppose f - 2*f = -342. Calculate the remainder when f is divided by (-108)/(-180)*490/6.
48
Let i = 1920 - 1851. What is the remainder when 528 is divided by i?
45
Suppose 25 = 5*u, u + 8 = 2*b + 3. Let d(r) = r**3 + 10*r**2 + 9*r + 5. What is the remainder when d(-6) is divided by 36 - 2/(b/20*2)?
31
Let i(w) = w**3 + 39*w**2 - 220*w + 27. What is the remainder when 446 is divided by i(-44)?
14
Let t(s) = 4*s - 30. Suppose 25*h + 30 = 28*h. Let w be t(h). Calculate the remainder when 51 is divided by w - (12/(-36) - (-16)/(-6)).
12
Suppose 12 = -69*f + 75*f. Suppose -f*y + 19*o = 20*o - 28, -2*o = -y + 4. What is the remainder when 40 is divided by y?
4
Let t(i) = -7*i**2 + 574*i - 8660. Let k = 22 + 14. What is the remainder when k is divided by t(20)?
16
Let t be -2*28/8*361. Calculate the remainder when 220 is divided by ((-8)/(-14))/((-38)/t).
30
Let a = 13495 - 13399. What is the remainder when 2871 is divided by a?
87
Let d = -211 - -211. Suppose d*y = -y + 23. Calculate the remainder when 65 is divided by y.
19
Let x(s) = -s**2 + 74*s - 1077. Calculate the remainder when 254 is divided by x(48).
83
Suppose 0 = -5*w - 3*o + 1339, w + 4*o = 116 + 145. Let y = w - 197. Let z = 37 + -12. What is the remainder when y is divided by z?
22
Suppose 22*a = 18*a + 556. Suppose 4*l = -m + 42, -54 = -7*l + 3*l + 5*m. Calculate the remainder when a is divided by l.
7
Suppose 11*b = 12*b + 4*r - 330, -4*b = 5*r - 1265. Let w = 633 - b. Calculate the remainder when w is divided by 109.
105
Suppose 5*x + j - 5510 = 0, j + 3*j = -2*x + 2204. Calculate the remainder when x is divided by 358.
28
Let d = 79 + 218. Suppose -3*r - 6 + 3 = 0, 0 = 4*b + 3*r - d. What is the remainder when b is divided by 13?
10
Suppose -2*q - 4*j = -972, -47 = q - 4*j - 533. What is the remainder when q is divided by 49?
45
Let n = -804 - -812. Calculate the remainder when 719 is divided by n.
7
Let f(j) = j**2 + 3*j - 1. Let s(v) = -2*v - 22. Calculate the remainder when s(-24) is divided by f(-6).
9
Let z be 86/(-4 + (-20)/(-4)). Let j = 102 - z. What is the remainder when 477 is divided by j?
13
Suppose 1064523 + 115259 = 74*k. Calculate the remainder when k is divided by 34.
31
Let s be (26962/(-51))/(6/(-9)). Let r = s + -758. What is the remainder when r is divided by 27?
8
Let t(k) = -k**3 + 6*k**2 - 6*k + 1. Let g(l) = l**3 - 9*l**2 + 9*l - 5. Let f be g(8). Calculate the remainder when (4 + 0 + -5)*-18 is divided by t(f).
8
Let q = 8 - -275. What is the remainder when q is divided by 0 - ((-66)/(-3))/(-2)?
8
Let a(s) = 10*s**2 + 435*s + 53. What is the remainder when a(-46) is divided by 1183?
20
Suppose -17*l = -1409 - 87. Let j = l - 85. Calculate the remainder when 3 is divided by j.
0
Let p = 1934 + 546. Suppose 3*n + 17*n = p. Calculate the remainder when n is divided by 27.
16
Let p = -640 - -832. Let v(l) = -l**2 + 16*l + 27. Calculate the remainder when p is divided by v(15).
24
Suppose 139 = 47*v - 4477 - 32185. What is the remainder when v is divided by 79?
72
Suppose 15 = 3*g, -128 = 5*f + 3*g + 217. Let o = 75 + f. Suppose 0*s + o*s - 21 = -i, 50 = 5*i + 4*s. Calculate the remainder when 8 is divided by i.
2
Let k(l) = -l**3 + 2*l**2 - 4*l + 6. Let y be k(2). Let t be (-134820)/385 + y*2/(-22). What is the remainder when (t/(-15))/(-1 + 5/3) is divided by 10?
5
Let q be 4/(-16) + 1846/(-8). Suppose -243 = -7*s + 191. What is the remainder when s is divided by q/6*28/(-49)?
18
Suppose 6*w - 5*w = 135. Calculate the remainder when w/4 - ((-11)/(-4))/(-11) is divided by 9 + 0 + 6 + 3/(-1).
10
Suppose 4*z - 4*p - 216 = 0, p - 615 = -14*z + 231. Calculate the remainder when 212 is divided by z.
32
Let w = 21079 - 21066. What is the remainder when 98 is divided by w?
7
Suppose 4*w + 523 = -0*w - 3*y, -4*y - 4 = 0. Let z = w + 140. What is the remainder when 119 is divided by z?
9
Let u be (4/(-8) - 0)*0. Suppose 0 = -3*h - u*h + 33. Calculate the remainder when (-1*h)/(-16 - -15) is divided by 3.
2
Let m(i) = -110*i + 15094. Suppose -2*q + 236 = 3*q - p, -3*p = -4*q + 191. What is the remainder when q is divided by m(137)?
23
Suppose 278*f - 319*f = -6355. Calculate the remainder when 748 is divided by f.
128
Let g(d) = -23*d + 1183. What is the remainder when 35 is divided by g(51)?
5
Let b(u) be the second derivative of -17*u**3/6 - 313*u**2/2 - 186*u. What is the remainder when 727 is divided by b(-19)?
7
Let m(g) = 9*g**2 - g - 1. Suppose 161 = 2*c + 391. Calculate the remainder when m(2) is divided by ((-138)/c)/(3/50).
13
Suppose -17*p + 98 = -89. Let l be 1/(((-8)/(-614))/(-4)). Let w = -200 - l. Calculate the remainder when w is divided by p.
8
Suppose 4*n = 23*n - 14117. Suppose 12*b - n = 445. Calculate the remainder when b is divided by 31.
6
Let a = 1906 - 1809. What is the remainder when 808 is divided by a?
32
Let a = -3233 - -3250. Let d be 82/8 - (-2)/(-8). What is the remainder when (-4)/(-10) - (-816)/d is divided by a?
14
Suppose 7*h - 96 = -5*h. Suppose 0 = -h*f + 58 + 134. What is the remainder when f is divided by -2*((-26)/4 + 2)?
6
Suppose -4*t + 4*a + 304 = 0, -4*t - 5*a + 100 = -168. Let n = t + -72. Calculate the remainder when 19227/187 + 4/22 + n is divided by 52.
51
Let i = 80 + -41. Let y be 3*((-2 + 4)/2)/1. Suppose -27 = -3*f + y*t, -f = -0*t + 3*t - 29. Calculate the remainder when i is divided by f.
11
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