remainder when d is divided by 12.
11
Suppose 3*z - 339 = 18. Let h = 1181 - 1156. What is the remainder when z is divided by h?
19
Let b(y) = 145*y - 388. Calculate the remainder when b(5) is divided by 43.
36
Let b(s) = -s**3 - 32*s**2 + 95*s + 59. What is the remainder when b(-35) is divided by 87?
61
Let j(q) = -44 + q**3 - q**2 + 26 + 14 + 11*q. What is the remainder when j(4) is divided by (6/3)/(2/18)?
16
Suppose 4*j + 7 = 3*g, -2*g - 4*j = -5*j - 8. Let i = 1099 + -1052. Suppose -4*k - 3*y + 7 + 24 = 0, i = g*k + y. What is the remainder when 39 is divided by k?
9
Let b = 78 - 19. Let g = -191 + 213. What is the remainder when b is divided by g?
15
Suppose -40 = -3*j + 2*j - 3*g, 0 = -4*g + 16. Calculate the remainder when ((-3036)/(-77))/(24/84) is divided by j.
26
Let s(w) = w**3 - 12*w**2 - 25*w - 86. Calculate the remainder when s(15) is divided by 72.
70
Suppose 0 = -9450*a + 9457*a - 462. Let j(b) = -64*b + 18. What is the remainder when j(-11) is divided by a?
62
Suppose 8*j = -5*r + 11*j + 69, 0 = 3*r + 3*j - 51. What is the remainder when 101 is divided by (234/r)/3 - 4/(-5)?
5
Suppose -n + 5*n - 16 = 0. Let o be (n/(-2))/(28/84). Calculate the remainder when 36 is divided by (3/2)/(o/(-76)).
17
Let y(b) = -92*b - 4029. Calculate the remainder when 496 is divided by y(-45).
52
Suppose -60*h - 220 = -s - 57*h, -5*s = -2*h - 1035. What is the remainder when s is divided by 5?
0
Let d = 14 + -12. Let p = 10 - d. Suppose -26*t - 370 = -36*t. What is the remainder when t is divided by p?
5
Let s be (2 + 0)/((-25)/(-2400)). What is the remainder when 51 is divided by (4 + 38/(-8))/((-4)/s)?
15
Let h be -1 + (-6)/(-5) - (-11)/(-5). Let u be -3 + (h - (4 - 55)). Let j = u - 44. Calculate the remainder when 8 is divided by j.
0
Suppose 4*v + 2 = -5*l, 1 = 2*v + 3*l + 3. Let n(d) = 2*d**2 + 2*d - 6 - 17*d - d**v. Calculate the remainder when 19 is divided by n(16).
9
Suppose -306 = -3*m + 9. Let c = m - 97. Suppose -5*k - c = -73. Calculate the remainder when k is divided by 10.
3
Let u(d) = -d**3 + 9*d**2 - 3*d - 12. Let c be (-195)/(-25) + -3*(-4)/60. What is the remainder when 222 is divided by u(c)?
26
Let f(a) = -a**3 + 9. Let u = 82 - 82. Let d be f(u). Suppose d*c - 138 = 8*c + 4*l, -4*l + 20 = 0. What is the remainder when c is divided by 32?
30
Suppose -k + 21 + 29 = 0. Suppose -2*p - 24 = 2*c, -4*c - 5*p - 34 = -8*p. Calculate the remainder when 20/k - 286/c is divided by 16.
13
Let s(b) = 4*b**2 + 3*b - 3. Suppose -4*g - 3*w = -70, 0 = 4*g + 15*w - 17*w - 80. Calculate the remainder when 95 - g/(152/32) is divided by s(-3).
19
Let w be (-3)/(15/(-590)) + -2. Suppose w*j - 140*j + 1032 = 0. What is the remainder when 126 is divided by j?
40
Let x = 99967 - 99861. Calculate the remainder when x is divided by 26 + -1 + 2/(-2).
10
Let o be ((12/21)/(-1))/((-2)/133). Calculate the remainder when o/57 - (2048/(-6) + 2) is divided by 15.
10
Suppose -20*n - 15*n - 32*n + 5226 = 0. What is the remainder when 1947 is divided by n?
75
Let p = -7510 - -9283. What is the remainder when p is divided by 176?
13
Let l(t) = -t**2 - 25*t + 10. Let u be l(-28). Let a = -97 - u. Let z = 42 - a. What is the remainder when z is divided by 11?
10
Let x(r) = 6*r**2 - 2. Suppose 3*o - 15*o = 24. What is the remainder when x(o) is divided by 12?
10
Let j = -23545 + 23674. What is the remainder when j is divided by (1 - -1)/(10/65)?
12
Suppose w + 2*l = 5*w - 736, -5*w = -2*l - 920. What is the remainder when w is divided by 40 - (-1750)/(-70) - (-2)/1?
14
Suppose 3*i - 93 = 42. Let f = i + -41. What is the remainder when 32 + 3 - (-6 + f) is divided by 10?
7
Let c(y) = -3*y + 70. Let s be c(14). Let p = s + -28. Suppose p*h - 20 = -5*h, -58 = -2*v - 4*h. What is the remainder when 59 is divided by v?
17
Let o = 2024 - 1950. What is the remainder when 400 is divided by o?
30
Let u = -3 - -10. Let v(d) = d**2 + 7*d + 2. Let p be v(-8). Calculate the remainder when 762/p + (-138)/115 is divided by u.
5
Suppose -5*c - 39 = 66. Let l(v) = -v**3 - 21*v**2 + 4. Let h be l(c). Suppose -h*w = -29 - 163. What is the remainder when w is divided by 10?
8
Suppose -13*l + 158 = -440. Let v(j) = 13*j**2. Let d be v(-1). Calculate the remainder when l is divided by d + (-4)/((-16)/(-12)).
6
Suppose -2*o + 914 = 4*y, -66*y + 65*y = 5*o - 2267. Suppose 4*i = -4*a + 60, -6 = -a + i + 3. What is the remainder when o is divided by a?
9
Let f = 329 - 326. Suppose f*k - 154 = -4*m + 49, 4*m + k - 201 = 0. Calculate the remainder when 299 is divided by m.
49
Let f = -16479 + 17039. Calculate the remainder when f is divided by 229.
102
Let h = 1206 - 637. What is the remainder when h is divided by 48?
41
Suppose 9917 = 2*p - 2657*c + 2658*c, 9942 = 2*p - 4*c. What is the remainder when p is divided by 69?
62
Let n(m) = -7142 + 3460 - 88*m + 3563. What is the remainder when n(-5) is divided by 54?
51
Suppose 3*u + 2*k = 243, -81 = -u + k + 3*k. Let f(d) = -12*d + 5. What is the remainder when u is divided by f(-3)?
40
Suppose 275 = -92*a + 117*a. Suppose 4*h + 0*q = -2*q + 14, 5*q + 5 = 0. Suppose h*y - 29 - 83 = 0. What is the remainder when y is divided by a?
6
Let v(f) be the second derivative of f**5/20 + f**4/4 - 5*f**3/3 - 9*f**2 + f. Let d be 32/(-40)*(70 - 65). Calculate the remainder when 12 is divided by v(d).
0
Let z(x) = 11*x**2 + 4 - 4*x + x**3 + 2*x**2 - 8*x**2 + 7*x. Calculate the remainder when 76 is divided by z(-3).
11
Suppose -5*q - 75 = -5*u, -3*u - q + 15 = 2*q. Suppose -78 = 18*w - 31*w. What is the remainder when u is divided by w/27 + (-2 - (-395)/45)?
3
Let p(h) = -h**3 + 5*h**2 + 3*h - 2. Let y be 2 + 7 + (2 - 1)*0. Let b be (6/y)/(4/24). Calculate the remainder when 51 is divided by p(b).
25
Let j = -47 + 71. Let i(v) = 2*v**2 - 2*v - 1. Let y be i(2). Suppose -5*d + 66 = -o, y*o - 28 = -3*d + 8. What is the remainder when j is divided by d?
11
Let w(c) = c**2 - 14*c + 161. Let o(h) = h. Let g(j) = -5*o(j) + w(j). Calculate the remainder when g(9) is divided by 38.
33
Suppose 0 = -2*w + 8, 3*c = -c - 5*w - 784. Let m = -137 - c. Calculate the remainder when 574 is divided by m.
62
Let g(w) = -4*w - 29. Let a be g(-20). Let f = a + -48. Suppose 0 = -f*y + 46 + 2. What is the remainder when 59 is divided by y?
11
Suppose 0 = -2*o + 7*o + 2*n - 240, 144 = 3*o + 2*n. Suppose -16*g - 6435 = -63*g + 2*g. What is the remainder when g is divided by o?
47
Suppose -308*b + 21315 = -279*b. Calculate the remainder when b is divided by 205.
120
Let d = -1055 + 1101. Calculate the remainder when d is divided by ((-63)/(-35) + -7)*10/(-4).
7
Suppose -3*y - 6*i + 309 = 0, 3*y - 6*i + 11*i = 304. Calculate the remainder when 915 is divided by y.
78
Let c(q) = 4*q + 45. Let m be c(7). Suppose -2*d - r = -m, -13*d - 31 = -14*d + 5*r. What is the remainder when d is divided by 10?
6
Suppose 3*t - 2*v = 11, 5*v = -4*t + 3*v - 4. Let h(d) = 15*d - 3. Let j be h(t). Let q(x) = -x + 42. Calculate the remainder when q(j) is divided by 18.
12
Let z = -8 + 46. Let s = 113417 - 113077. Calculate the remainder when s is divided by z.
36
Suppose -603 = -2*a + 5*i, 3*a - 282*i - 885 = -281*i. Calculate the remainder when a is divided by 50.
44
Let n(w) = -w**2 + 18*w - 11. Let u be n(12). Suppose 23 + u = 6*h. Calculate the remainder when 25 is divided by h.
11
Let f = 7701 + -6676. What is the remainder when f is divided by 38?
37
Let p(j) = 45*j - 1128. Let g be p(25). Let k(q) = q - 8*q + 7 - 12*q. Calculate the remainder when k(g) is divided by 6.
4
What is the remainder when -3*((-667)/(-261))/(2/(-24)) is divided by 21?
8
What is the remainder when 1032 is divided by -5*272/(-22) + (-4)/(-22) - 1?
56
Let m(d) = 2*d**3 + d**2 - 2*d + 420. Let r be m(0). What is the remainder when (-4)/(-14) - (-374)/14 is divided by (4/(-5))/((-24)/r)?
13
Suppose -a - 71 + 313 = -2*v, 0 = -v + 2*a - 121. Let m = -12304 + 12205. Let y = m - v. Calculate the remainder when 43 is divided by y.
21
Suppose -4*y - 649 = -5*f, -3*y - 519 = -642*f + 638*f. What is the remainder when f is divided by 33?
30
Let h = 4 - 9. Let n(f) = 6*f - 28. Let d(c) = 11*c - 56. Let t(z) = h*n(z) + 3*d(z). Calculate the remainder when 103 is divided by t(18).
25
Let d = 4075 - 4051. Let x = 2 - -12. Calculate th