. Let s be q(-9). Let k be w(s). Let r = -13 - k. Calculate the remainder when 14 is divided by r.
6
Suppose 143 = 2*n - 3*f, 2*n - 33 = -4*f + 103. Let w be 66/2 - (-2 + 1). Let v = w - 16. What is the remainder when n is divided by v?
16
Suppose -87*d + 35881 + 485 = 0. Calculate the remainder when d is divided by 9.
4
Let m = 407 + -404. Suppose -2*a + 4*j = -68, 6*j - j + 15 = 0. What is the remainder when a is divided by m?
1
Suppose -7 = -2*z - j + 5, 0 = -4*z + 4*j. Suppose 5*i = z*i + 50. Suppose -a + 3*a = 3*b - i, -5*b = 5*a - 50. What is the remainder when 68 is divided by b?
12
Suppose 4*t = 22 - 2. Suppose 4*p - 15 = 2*p + t*x, 0 = -2*x - 2. Suppose p*f = 2*f + 18. What is the remainder when f is divided by 2?
0
Let n = 607 - 589. Calculate the remainder when 107 is divided by n.
17
Let m be 6/((-4 - -5)*2). Suppose 0 = -4*f - 0*d - d + 58, 0 = -3*f + m*d + 51. What is the remainder when 56 is divided by f?
11
Suppose -p - 62 = -3*p. Let d = p + -20. Suppose z + z = 6. Calculate the remainder when d is divided by z.
2
Suppose 37 = -y - 4*y - 3*f, 3*f - 11 = y. Let m(z) = -4*z - 1. Let s be m(y). Let d = s + -19. What is the remainder when d is divided by 2?
0
Let y = -528 + 614. What is the remainder when y is divided by 23?
17
What is the remainder when (41/7 - 6) + 400/7 is divided by 11?
2
Let w = 319 - 298. What is the remainder when 21 is divided by w?
0
Suppose o - 4*d = 61, -3*o - 4*d + 7*d + 138 = 0. What is the remainder when 81 is divided by o?
40
Suppose 0 = -4*s + 3*s + 3. Let j be (-3 + 0)*(-154)/s. Suppose -r + 51 = -3*v + 203, 0 = 3*v + r - j. Calculate the remainder when v is divided by 13.
12
Suppose -4*t + 11 = -9. Let u(g) = g**2 - 5*g + 7. Calculate the remainder when t is divided by u(4).
2
Let x be 10 + -5 + 0 + 2. Let k(p) = -1 + x*p**2 + 2 + 3 + 2 - p + p**3. What is the remainder when k(-5) is divided by 21?
19
Suppose -80*i = -89*i + 162. Suppose -3*r + 2*r = -3*t - 37, 47 = r - t. Calculate the remainder when r is divided by i.
16
Suppose -21 - 11 = -8*z. Suppose -z*a = -5*v + 531, -4*v - 182 = -5*a - 614. What is the remainder when v is divided by 21?
19
Suppose 0 = -35*k + 34*k + 245. Suppose 6*w + k = 11*w. Calculate the remainder when w is divided by (-2)/4*-2*25.
24
Let z(r) = -3*r - 6. Let k be z(-4). Suppose k = -4*a + 10. Suppose m + a = 4. Calculate the remainder when 5 is divided by m.
2
Suppose c = 3*u + 6, -4*u - 12 = -0. Calculate the remainder when 1 - (-38 + 0/c) is divided by 11 - -1*(-4 - -3).
9
Let m = -1 + 133. What is the remainder when m is divided by 73?
59
Let l be 0/(-3)*2/(-4). Let d = 4 + l. Suppose -119 + 43 = -d*m. What is the remainder when 56 is divided by m?
18
Let f(o) = -2*o + 16. Let k be f(5). Let c = 14 - k. What is the remainder when (4/12)/(1/39) is divided by c?
5
Suppose -24 = 4*j - 0*j. Let d(w) = w**3 + 7*w**2 + 2*w - 12. Calculate the remainder when 71 is divided by d(j).
11
Let p(j) = j**3 + 21*j**2 - 5*j - 51. Let s be p(-21). Suppose -13*z = -115 - s. Let t = -6 - -10. What is the remainder when z is divided by t?
1
Suppose 10*j = 11*j - 4*z - 9, 5*z = 4*j - 91. What is the remainder when 53 is divided by j?
24
What is the remainder when (-168)/(-63)*(4 - -29) is divided by 30?
28
Let t(c) = -c**2 + c + 6 + 4 + 5. Suppose -103*s + 100*s = 0. Calculate the remainder when 28 is divided by t(s).
13
Suppose 18 = 4*h + 2. Suppose -h*y + 256 - 76 = 0. Calculate the remainder when y is divided by 8.
5
Let z = -31 + 34. Let q(f) = -f**3 - 12*f**2 - 1 + f**2 + z + 11*f. What is the remainder when q(-12) is divided by 9?
5
Suppose 3*u - 108 = -2*s - 4, -3*s - 186 = -5*u. Calculate the remainder when 116 is divided by u.
8
Let w(s) = s**2 - 12*s + 7. Let d be w(11). Let g = 4 + d. Suppose 0 = 5*t + 15, g = 3*h - t + 4*t - 96. What is the remainder when h is divided by 18?
17
Suppose 38*x = 31*x + 245. Calculate the remainder when 97 is divided by x.
27
Suppose 26*a = 22*a + 204. Suppose -a = -b - 21. Calculate the remainder when 86 is divided by b.
26
Let b = 464 - 443. Calculate the remainder when 53 is divided by b.
11
Suppose 5*o - 30 = 2*h, h + 7 = 2. Suppose o*x - 7 = -3*f + 2*x, -20 = 5*x. Calculate the remainder when f is divided by ((-3)/9)/((-11)/99).
2
Suppose 1 = 3*j - 26. Let i(v) = -v**2 + 9*v + 26. Let t be i(11). Suppose 0 = q - t. What is the remainder when j is divided by q?
1
Suppose 21*z + 9*z - 1530 = 0. What is the remainder when 164 is divided by z?
11
Let p(h) = h**3 - 55*h**2 - 235*h - 56. What is the remainder when 24 is divided by p(59)?
0
Let p = 2488 + -2270. Calculate the remainder when 227 is divided by p.
9
Let w = -14 - -23. Let q = -41 + 47. Let d(u) = u**3 - 5*u**2 - 6*u + 5. Calculate the remainder when w is divided by d(q).
4
Let r = 11 + -1. Calculate the remainder when 98 is divided by r.
8
Let q(j) = -2 - 13*j - 3 - 8*j. Let x(g) = -g**2 - g + 20. What is the remainder when q(-4) is divided by x(0)?
19
Calculate the remainder when 6/(-8) - (-2907)/36 is divided by 21.
17
Let m = -25 + 48. Let q = 58 - m. Calculate the remainder when q is divided by 4.
3
Let q = -1178 + 1208. What is the remainder when 141 is divided by q?
21
Suppose x - 18 + 438 = -4*v, -5*v = 4*x + 525. Let l be (v - -7) + (1 - -2). Let d = l - -162. Calculate the remainder when d is divided by 17.
16
Calculate the remainder when 198 is divided by ((-520)/(-91))/(((-8)/(-14))/4).
38
Let u(v) = 6*v**2 + 21*v + 84. What is the remainder when u(-4) is divided by 45?
6
Let n = -1 - -3. Suppose 0 = n*b - 6 + 2. Calculate the remainder when 2 is divided by b.
0
Suppose 4*o - 5 - 3 = 0. Suppose -o*l = 3 - 27. Calculate the remainder when 20 is divided by l.
8
Let k = -47 + 61. Suppose 9*c = 5*c + 24. What is the remainder when k is divided by c?
2
Let k(l) = -l**2 - 27*l + 119. Calculate the remainder when k(-23) is divided by 68.
7
Let l = 1512 + -1471. Calculate the remainder when 138 is divided by l.
15
Suppose -j - 2 = -2*j + 2*a, -7 = -j - 3*a. Suppose 0 = -2*h - j*f + 32, -3*f + f - 56 = -2*h. Let q = -15 + h. Calculate the remainder when q is divided by 6.
3
Let j(k) = -k**3 - 19*k**2 + k + 24. Let h be j(-19). Suppose 0*a + 3*a + 33 = 5*r, -h*r - 2*a + 53 = 0. Calculate the remainder when 13 is divided by r.
4
Suppose 3*n + 6 = 129. What is the remainder when n is divided by 22?
19
Let b = -5 + 9. Suppose 3 = b*d + 5*s - 99, -d + s = -21. Suppose 3*m = g + 21, 2*m - g = 4*g + 1. Calculate the remainder when d is divided by m.
7
What is the remainder when 50 is divided by 8/(-16)*-1*6?
2
Suppose -4*r = -7*r + 15. Suppose -2*w - 4*w = -168. Suppose 0 = -5*z - 3*a + a + w, -z + a = 0. Calculate the remainder when r is divided by z.
1
Suppose -t + 0*t = -20. Let f = 1095 - 1058. Calculate the remainder when f is divided by t.
17
Suppose -20*h - 375 = -34*h + 87. What is the remainder when h is divided by (2*-1 - 0) + 19?
16
Let j(y) = -y**2 + y + 28. Let p be j(0). Let z = -8 + p. Suppose -l = -3*l + 114. What is the remainder when l is divided by z?
17
Suppose -z + 10 = 4*f, z + 4 = -3*f + 11. Let g(v) = v**2 - 3*v + 3. Calculate the remainder when (-22)/(-8) + (-1)/(-4) is divided by g(f).
0
Let a = 8 - 4. Let d(n) = -2*n**3 - 3*n**2 + 9*n + 11. Let w(o) = o**3 + 6*o**2 - 9*o - 17. Let u be w(-7). What is the remainder when d(u) is divided by a?
3
Suppose 78 - 30 = -4*h. Suppose -2*g - 2*g + 20 = 0. What is the remainder when (-75)/(-9) - 8/h is divided by g?
4
Let h = -224 + 227. Calculate the remainder when (-2)/(-8) + (-285)/(-12) is divided by h.
0
Let t = -43 - -40. Let a(n) = -n + 7. Suppose 0 = 3*b, -4*s + 0*b - 2*b + 152 = 0. Calculate the remainder when s is divided by a(t).
8
Let y = -74 - -87. What is the remainder when 24 is divided by y?
11
Calculate the remainder when 3/4*5520/90 is divided by 9.
1
What is the remainder when 37422/264 + 1/4 is divided by 29?
26
Let x = -2 + 8. Suppose -x*m = 5*s - m - 75, -4*s = -3*m - 67. Let v = 66 - 37. Calculate the remainder when v is divided by s.
13
Suppose 120 = 4*b + 812. Let r = -93 - b. What is the remainder when r is divided by 28?
24
Suppose 0 = -u - 2*a - 4 + 13, 2*u = a + 18. What is the remainder when 1*78*(-8)/(-24) is divided by u?
8
Let m = 5 - 9. Let p(t) = -t**2 - t + 3. Let f(n) = -n**2 - 2*