r = 47 - b. Calculate the remainder when 77 is divided by r.
37
Let j = -139 - -1151. Let w = j - 840. Calculate the remainder when w is divided by 53.
13
Let q = 138 - 133. Suppose q*y - 11 + 77 = 2*r, -3*r - 2*y = -80. Calculate the remainder when 71 is divided by r.
15
Let n be ((-165)/12)/((-798)/(-200) + -4). Suppose 7*z - 193 = n. Calculate the remainder when z is divided by 45.
44
Suppose -1216 = -23*c + 13113. What is the remainder when c is divided by 20?
3
Suppose -f + x = -4*f + 141, -5*x = 5*f - 235. Let a be 2 - 1 - (10 - 65). Suppose -j + a = 6*j. What is the remainder when f is divided by j?
7
Suppose -f - 4*f + 3*c = -365, 3*c + 73 = f. Suppose -2*p + a + f = 0, -2*a + 7*a = -15. Calculate the remainder when p is divided by 14.
7
Let z(d) = -2*d. Let t = -32 + 38. Suppose 0 = 3*p + 12, b + 4*p + t = -12. What is the remainder when 15 is divided by z(b)?
3
Calculate the remainder when 2/(2/(-2))*-61 is divided by (16 + -88)*(-25 + 11)/56.
14
Let c = 9573 + -9548. Calculate the remainder when 987 is divided by c.
12
Calculate the remainder when 2745 is divided by ((-39)/(44 - -34))/((1 + 1)/(-164)).
39
Let i be -4 + (-2)/(-3)*3. Let o(j) = -5*j**2 - 5*j - 2. Let g be o(i). Let m = g + 22. Calculate the remainder when 48 is divided by m.
8
Let a = -3586 - -13479. Calculate the remainder when a is divided by 5.
3
Let j(g) = -g**2 - 11*g - 28. Let w be j(-7). Suppose 14*s + w*s - 168 = 0. Calculate the remainder when 29 is divided by s.
5
Let m(p) = p**3 - 13*p**2 + 10*p - 39. Let r be m(13). Suppose 34*g = 27*g + r. Calculate the remainder when g is divided by 7.
6
Let a = -7892 - -8024. What is the remainder when a is divided by 99?
33
Let l(f) = -2*f + 120. Let p be l(5). Suppose 352 = 22*a - p. What is the remainder when 85 is divided by a?
1
Let u(f) = 6*f - 66. Let t be u(19). What is the remainder when 41 is divided by 1/4*(-8 + t)?
1
Suppose o - 6*o + 173 = s, 5*o + 4*s - 167 = 0. Let l = o + -30. Calculate the remainder when 13 is divided by (2 - 1)/(1/l).
3
Suppose 20*f = 69 + 511. What is the remainder when 8/36 + 16/9 + 141 is divided by f?
27
Let f(n) = -n**3 - 64*n**2 - 182*n + 79. Suppose 0 = -3*p - 2*p + 170. What is the remainder when p is divided by f(-61)?
16
Suppose 2*v + 3*l - 2307 = 0, 31*v - 28*v - 3520 = 4*l. What is the remainder when v is divided by 54?
30
Let u(q) = -q**2 - 3*q - 56. Let x be u(-6). Let n = -67 - x. What is the remainder when n - 12 - -1*157 is divided by 14?
12
Let l be ((-9)/3)/(((-5)/7)/5). Suppose -16*i = -4*d - l*i + 61, 5*d - 2*i = 35. Calculate the remainder when 67 is divided by d.
4
Let n = -98 + 98. Let i be n + 1 + 0 + -2 + 5. Suppose -222 = -4*r + 4*u - 3*u, -r = i*u - 64. Calculate the remainder when r is divided by 21.
14
What is the remainder when (-4)/(-26) + 52990511/8099 is divided by 16?
15
Suppose 103*f - 170*f = -50317. Calculate the remainder when f is divided by 26.
23
Let h(n) = -n**2 + 84*n + 390. Calculate the remainder when h(87) is divided by 67.
62
Let v(n) = 390*n**2 - 97*n + 199. What is the remainder when v(2) is divided by 104?
5
Let j be (-2)/(-13) + (-312)/(-169). Suppose 0 = -3*o + 8*o - j*c - 91, 4*o + c - 78 = 0. Calculate the remainder when 187 is divided by o.
16
Suppose 0 = 2*r - 5*r + 9. Suppose 0 = 2*q - l - 1 + r, 3*l = 12. Let s = 402 - 401. Calculate the remainder when q is divided by s.
0
Suppose -536*m - 180 = -554*m. Let s = -6 + 8. Calculate the remainder when m is divided by s.
0
Let i(l) = -2*l**3 + 97*l + 32. What is the remainder when i(-13) is divided by 176?
173
Calculate the remainder when 15739 is divided by (20/2080*16)/((-2)/(-52)).
3
Let u be -7*1/((-21)/(-90)). What is the remainder when (16/6)/((-20)/u) is divided by 1 - ((-2 - 0) + 1)?
0
Let r = 2286 - 446. Let z = -17 - -28. Suppose z*g = r + 679. What is the remainder when g is divided by 29?
26
Let c be 3/5 + 720/50. Suppose 0*b + c = 3*b. Suppose b*x + 48 = 378. Calculate the remainder when x is divided by 23.
20
Let o(t) = -9*t - 14. Suppose 2*x - m = 3*m + 92, 3*x - 158 = 2*m. Let c = x - 25. Calculate the remainder when o(-15) is divided by c.
28
Let k = 6689 - 6497. Calculate the remainder when 200 is divided by k.
8
Let k be 11*(3 + 0/3). Suppose 0 = -7*f + 82 - k. Suppose -91 = -f*d + 70. What is the remainder when d is divided by 8?
7
Let m(j) = -11*j - 5. Let d be -9*(-222)/(-6)*1. Let b = d + 351. What is the remainder when m(-5) is divided by b?
14
Let g(o) = -o**2 - 160*o + 4445. Calculate the remainder when 955 is divided by g(24).
27
What is the remainder when (-122910)/(-32) - (2124/(-192) - -11) is divided by 21?
19
Suppose 5*i - 28 = 4*j, i + j + 4 = 15. What is the remainder when i + -7 + 103 + -7 is divided by 21?
13
Let f(k) = 335*k**2 - 2*k - 14. Let n be f(-2). Suppose -259 = 9*m - n. Suppose 2*p - 5 = 19. What is the remainder when m is divided by p?
11
Suppose -7467 = -98*c + 10173. Calculate the remainder when 1637 is divided by c.
17
Let i = -5553 - -5569. What is the remainder when 1023 is divided by i?
15
Suppose -80*u + 5480 = -23160. Calculate the remainder when u is divided by 162/4 + (-2)/4.
38
Let k(f) = 6*f**2 - 10*f - f**3 + 5*f**2 - 13 - 5*f - 3*f**2 - 10*f**2. What is the remainder when k(-9) is divided by 69?
68
Suppose -2*c + 0*c + 68 = 0. What is the remainder when (-7288)/(-36) - (3 - (-138)/(-54)) is divided by c?
32
Suppose 0 = 1332*k - 1337*k + 15, -2*r + 4*k + 14806 = 0. Calculate the remainder when r is divided by 114.
113
Let s = -223 - -251. Calculate the remainder when 71 is divided by s.
15
Let n = 2827 - 2694. What is the remainder when n is divided by 62?
9
Let c(l) = 14*l**2 + 225*l + 679. What is the remainder when c(-3) is divided by 110?
20
Let p(w) = w**3 - 24*w**2 + 59*w - 1217. What is the remainder when p(24) is divided by 61?
16
Let t(p) = -p**2 - 9*p + 49. Let d be t(-11). Suppose 4*r - d*r + 4761 = 0. Calculate the remainder when r is divided by 8.
7
Suppose -3*k - 2*f + 68 = 0, -k + 3*f - 29 = -37. What is the remainder when 125 is divided by k?
5
Suppose -2*x + 0*i = -2*i - 84, -3 = -i. What is the remainder when 44/1*((-63)/27 + 152/24) is divided by x?
41
Suppose 218*j = -63*j + 359680. Calculate the remainder when j is divided by 56.
48
Let i = -262 + 259. Calculate the remainder when (-300)/(-8) + (-2)/4 is divided by (-2)/i*624/32.
11
Let t(y) = -277 + 10*y**2 + y - y + 283. Let v be t(4). Suppose -169*f = -v*f - 60. What is the remainder when 51 is divided by f?
11
Suppose -292*p + 157159 - 55543 = 0. What is the remainder when p is divided by 277?
71
Let g = -61 - -166. Suppose 5*f + 4*r - 14 = 0, -9*f - 2*r - 24 + 70 = 0. What is the remainder when g is divided by f?
3
Suppose -4*f = 16, -2*i - 4*f - 222 = -3*i. Suppose -8*b = -i - 34. Calculate the remainder when b is divided by 12.
6
Suppose -3*y + 17*y = 210. Suppose 0 = -5*d - y*d + 400. Suppose -20 + 2 = -3*v. Calculate the remainder when d is divided by v.
2
What is the remainder when 313 is divided by ((-21)/2*40/(-140))/((-2)/(-50))?
13
Suppose 2*t + 9*t = -33. Let b(j) = -5*j**3 - 4*j**2 - 2*j + 2. Calculate the remainder when 4/16 + t*467/(-12) is divided by b(-2).
27
Let v(c) = -c**2 - 61*c + 193. Suppose -3*n - 1 = -10. What is the remainder when v(n) is divided by (-2)/3*(-6)/4?
0
Let y(f) = 3*f**2 + 3*f - 5. Suppose 4*b = 2*b + 4. Suppose -b*i - 20 = 2*i, -2*i = -2*o + 58. Calculate the remainder when o is divided by y(2).
11
Let x(d) = 117*d + 2551. What is the remainder when x(52) is divided by 120?
115
Let s(z) = 5*z**3 - 18*z**2 - 26*z + 83. What is the remainder when s(8) is divided by 424?
11
Let a = 1535 + -1542. Let k = -43 - -89. Calculate the remainder when k is divided by (-1)/(7/(-175)) + a.
10
Suppose -9*m = -3 + 39. Suppose -6*j + 45 = -j. Calculate the remainder when 42 is divided by (j/(-6) + 86/m)/(-1).
19
Let n(y) = y**3 + 7*y**2 - 628*y + 66. Calculate the remainder when n(-28) is divided by 591.
4
Suppose -3*h + 5*k + 486 = 11, -3*h + 503 = -k. What is the remainder when h is divided by 139?
31
Let k(m) = -560*m + 1706. Calculate the remainder when 736 is divided by k(3).
8
Suppose 5*m + 15 = 3*z, 0 = 12*m - 9*m. Suppose -18*p = -13*p + k - 79, 0 = z*p + 4*k - 91. Calculate the remainder when 57 is divided by p.
1