*m - 5 + 23 = i. Calculate the remainder when i is divided by 13.
2
Suppose 340 = 5*r - 5*d, 4*r - 91 - 201 = -d. Let q(n) = n + 27. Calculate the remainder when r is divided by q(0).
18
Calculate the remainder when ((-3672)/(-81) + -41)*(179 + -2) is divided by 161.
123
Let s = -18 - -36. Let n = -131 + 261. Suppose -328 = -5*o + z, 2*o + 3*z - n = 4*z. What is the remainder when o is divided by s?
12
Let l = -366 - -395. Suppose -l*r = -10*r - 209. What is the remainder when 24 is divided by r?
2
Let b(i) = -i**2 + 15*i - 9. Let r = 34 + -7. Suppose 3*f - r = 15. Calculate the remainder when 27 is divided by b(f).
2
Suppose -106*h + 107*h - 215 = 0. Let p = -199 + h. What is the remainder when 42 is divided by p?
10
Let x = -27 - -31. Suppose 5*w - c = 83, c = x*w - 41 - 25. Let q(m) = -23*m - 294. Calculate the remainder when w is divided by q(-13).
2
Suppose 0 = 4*x - 12 + 4. Suppose -x*k = -k. Let p(t) = -t**3 - 2*t**2 + t + 83. Calculate the remainder when p(k) is divided by 17.
15
Calculate the remainder when 63 is divided by 23 + (-19)/19 + 1.
17
Suppose 6*x - 2599 = 863. Let s = x - 391. Calculate the remainder when s is divided by 21.
18
Let d = -19 - -23. Let q(y) = y + 2. Let b(h) = -h**2 + 5*h + 39. Calculate the remainder when q(d) is divided by b(9).
0
Let t(b) be the first derivative of -2*b**3/3 + 37*b**2/2 - 4*b - 265. Calculate the remainder when t(12) is divided by 78.
74
Let p = -660 - -899. What is the remainder when 932 is divided by p?
215
Let d be -4 - -151 - -3*1. Let b = d + -124. Calculate the remainder when (0/(-3) + 74)/1 is divided by b.
22
Let q(w) = 6*w + 4. Suppose -9*x - 33 - 30 = 0. Let y(s) = -12*s - 8. Let b(u) = x*q(u) - 4*y(u). Calculate the remainder when b(5) is divided by 12.
10
Let t be (8 - 6)*(0 - (5 + -288)). Let b = 572 - t. Calculate the remainder when 214 is divided by b.
4
Suppose -3*r + 5*r = h + 17, 6 = r + 2*h. Let s(g) = g**3 + 5*g**2 - 7*g. Let z be s(-7). What is the remainder when 0 - (3 + z - -2) is divided by r?
4
Let s = -19845 - -20514. Calculate the remainder when s is divided by 167.
1
Let y = 31 + -27. Let w(l) = 5*l - 24. Let x be w(y). What is the remainder when 53 - x/1 - (-3)/3 is divided by 13?
6
Let q = -11910 + 11931. Calculate the remainder when q is divided by (54/63)/(2/28).
9
Calculate the remainder when ((-15)/10)/(5 - (-63)/(-12)) + 4366 is divided by 9.
7
Let w = 4055 - 3922. Calculate the remainder when 161 is divided by w.
28
What is the remainder when (-20*4/48)/(-3 - (-14936)/4980) is divided by 31?
29
Let n(y) = -3*y**3 + 4*y**2 - 4*y + 5. Let s(p) = p**3 + 2*p - 1. Let b(d) = n(d) + 2*s(d). Calculate the remainder when 4 is divided by b(4).
1
Let d = -17481 + 17736. Calculate the remainder when 1319 is divided by d.
44
Let c(l) = 3*l**3 - 115*l**2 + 72*l - 47. What is the remainder when c(38) is divided by 139?
133
Let q be (-22)/(-2) + (-3 - (10 + -29)). Suppose -3*k + k = -4. Suppose k*t + t = q. What is the remainder when 25 is divided by t?
7
Suppose -102 = -6*u + 120. Let o be -27 - (-2)/((-2)/(-2)). Let f = o + 33. What is the remainder when u is divided by f?
5
Let z = -13 + 21. Suppose 15*k = -7*k + 1342. Suppose k*b - 33*b - 616 = 0. Calculate the remainder when b is divided by z.
6
Let g(a) = a + 10. Let s be g(-6). Suppose 0 = 3*i + 2*u - 516 - 88, -s*u = -3*i + 628. What is the remainder when i is divided by 52?
48
Let i(u) = -448*u + 13514. Calculate the remainder when i(23) is divided by 458.
4
Let j = 1030 - 1027. Suppose 545 = 6*b - b - 3*o, 0 = 5*b - 2*o - 545. Suppose -j*m = 22 - b. Calculate the remainder when 82 is divided by m.
24
What is the remainder when 211 is divided by ((-270)/90)/(3*(-2)/212)?
105
Let z be (110 - 6)/(-2 + 12/4). Suppose 4*y - z = -y - 3*n, 2*n - 6 = 0. What is the remainder when 73 is divided by y?
16
Suppose 22*g - 25*g = 4*i - 324, -5*g - 5*i = -535. What is the remainder when g is divided by 44?
16
Let j(n) = -11*n**3 + 417*n**2 + 41*n - 94. What is the remainder when 596 is divided by j(38)?
16
Let w(f) = 2*f**3 - 50*f**2 + 171*f + 8. What is the remainder when w(4) is divided by 8?
4
Suppose -800 = -4*v + 2*d, 0 = -3*v - 3*d + 516 + 93. Suppose a + v = 4*a. Suppose -244 + 176 = -4*z. What is the remainder when a is divided by z?
16
Let y(r) = 31*r**2 - 2*r - 3. Let k be y(-1). What is the remainder when 7525/k - (-20)/(-24) is divided by 63?
61
Suppose 4*q = 3*w - 7*w - 8, -3*q + 3*w + 6 = 0. Suppose 10*i - 14*i = q. Suppose 2*j - 54 + 8 = i. What is the remainder when j is divided by 6?
5
What is the remainder when 663 is divided by (-31 + 15 - -2) + 175?
19
Suppose 4*l + 2468 = 4*z, 2*z - 35*l = -40*l + 1262. What is the remainder when z is divided by 13?
10
Suppose -3 = -3*f - 5*q + 50, 5*q = -2*f + 27. Suppose -2*p + 4*y = -94, 0 = -2*p + 2*y + 66 + f. What is the remainder when p is divided by 18?
9
Suppose -5*b = -p - 1599 - 179, -2*b + 725 = -5*p. Suppose -3*h = 5*y + 95 - b, -3*h + 113 = 2*y. What is the remainder when y is divided by 13?
10
Let s = -143 - -165. Let c = -1 - -6. Suppose j + w = 7, w = -c*j + j + 22. What is the remainder when s is divided by j?
2
Let q = 327 + -328. Suppose -2 = -2*j - 0. Calculate the remainder when j - (q - 4/(-4)) - -140 is divided by 11.
9
Let o = -47 + 59. Suppose 5*z - 2*k - 28 = 0, 3*k - 39 = -4*z - o. Let g(l) = 2*l + 9. What is the remainder when g(z) is divided by 11?
10
Let j = 170 + 160. What is the remainder when 10/3*j/25 is divided by 15?
14
Suppose -2470*j = -2471*j + 375. Calculate the remainder when j is divided by 368.
7
Suppose -5*i - 3*o = -47, 8*o - 4*o = i + 9. Let d = -61 + 131. Suppose 0 = 4*t + g - 112, 2*t + 3*g - d = -g. Calculate the remainder when t is divided by i.
6
Let o = 13867 - 13850. Calculate the remainder when 7015 is divided by o.
11
Suppose -1062 = -17*l - 485 + 579. What is the remainder when 186 is divided by l?
50
Let v = -12237 + 12249. What is the remainder when 191 is divided by v?
11
Let i = -2 + 3. Let c(h) be the first derivative of 29*h**2/2 + 4*h + 366. Calculate the remainder when 161 is divided by c(i).
29
Suppose -6 = 5*p + 14. Let a(m) = -m**3 - 5*m**2 - 6*m - 1. Suppose 4*x + 2*z - 78 = 0, 0 = -x - 3*z + 9 + 23. What is the remainder when x is divided by a(p)?
3
Suppose -441*m + 24 = -439*m. Suppose 2*n = 6*n - 820. Let z = n + -62. Calculate the remainder when z is divided by m.
11
Let t(m) = 24*m + 7 + 551329*m**2 - 551330*m**2 - 22. Suppose -4*w = -85 + 5. Calculate the remainder when t(22) is divided by w.
9
Let m = -807 - -832. Calculate the remainder when 3223 is divided by m.
23
Suppose -1231 - 113 = -41*z + 13*z. Calculate the remainder when 188 is divided by z.
44
Calculate the remainder when ((-5)/((-35)/(-66)))/((-2)/182) is divided by 10.
8
Let y be (12/(-4))/((-21)/(-35)). What is the remainder when 32 is divided by 209/55 - ((-14)/y - 2)?
2
Let w(u) = 12*u**2 - 36*u - 89. Let f(h) = 7*h**2 - 18*h - 45. Let b(y) = -7*f(y) + 4*w(y). What is the remainder when 101 is divided by b(-15)?
1
Suppose 5*x - 5*s - 79 = 2*x, 3*x + 5*s - 59 = 0. Let y = 295 - 287. What is the remainder when x is divided by y?
7
Let u(c) = -c + 13. Let k be u(10). Suppose k = -d - 1. Let p = 13 + d. What is the remainder when 50 is divided by p?
5
Suppose 8365 - 42295 = -29*s. Calculate the remainder when s is divided by 17.
14
Let m(t) be the third derivative of -t**5/60 - 11*t**4/12 + 3*t**2 - 1. What is the remainder when m(-14) is divided by 19?
17
Suppose 2624*y - 4550 = -2*f + 2619*y, 3*y = -24. What is the remainder when f is divided by 41?
40
Suppose -47*p - 270 = -52*p. Let s(h) = -76*h - 131. What is the remainder when s(-4) is divided by p?
11
Let x = -15396 - -15525. Let h(c) = -c**2 + 11*c - 12. Calculate the remainder when x is divided by h(8).
9
Let v = -187 + 46. Let u = v + 164. What is the remainder when 68 is divided by u?
22
Suppose -3*r - 2596 = -3*b + 797, -5*r - 2265 = -2*b. Calculate the remainder when b is divided by 30.
20
Suppose 70 = -277*w + 281*w + 2*b, 2*w - 21 = b. What is the remainder when 4602 is divided by w?
10
Let s(v) = 25*v - 147. Let t be ((-14)/6)/(30/45 - 1). Calculate the remainder when 111 is divided by s(t).
27
Suppose -23*m + 698 + 245 = 0. Suppose -m*n + 5 = -36*n. Calculate th