t b = 120 - 119. Let t be ((-3)/(-2) - b) + 382/4. Let u = 118 - t. Calculate the remainder when u is divided by 15.
7
Let u = -35 - -29. Let w be -4 - (-2)/(-2)*u. Suppose w*r = -5*n + 147, 2 = 4*n + 2*r - 116. What is the remainder when n is divided by 15?
14
Let l(f) = f**3 + 10*f**2 - 13*f - 19. Let k(p) = 10*p - 2. Let b be k(1). Suppose 55 = b*v - 13*v. What is the remainder when 5 is divided by l(v)?
2
What is the remainder when (6390/(-120))/(1/(-8)) is divided by 130?
36
Let w(f) = -f**3 + 8*f**2 + 14*f - 37. Suppose 3*q = -t + 27, 0 = 4*q + t + 43 - 79. Suppose -2*a = -77 + 23. Calculate the remainder when a is divided by w(q).
3
Suppose 5728 = 36*d - 27*d + 23*d. Calculate the remainder when d is divided by 33.
14
Let g = 14115 + -10390. What is the remainder when g is divided by 1239?
8
Suppose 0 = -5*p + 8 + 7, -3*p = -5*v + 436. Let j = 39 - v. Let n = 53 + j. Calculate the remainder when 9 is divided by n.
0
Let f(n) = -2*n**3 + 12*n**2 + 3*n - 14. Let v be f(6). Let x = 4 - v. Suppose -2*l - 3*l + 45 = x. What is the remainder when 43 is divided by l?
7
Suppose -299*w = -20638 - 40956. Calculate the remainder when 15449 is divided by w.
205
Let d be (-6 + (6 - 1))*-292. Suppose 2*w + d = j + 3*j, -3*j - 5*w + 193 = 0. What is the remainder when j is divided by 18?
17
Let w(u) = 34 - 87 + 12*u - 2*u**2 - 52*u. Suppose -33 = -2*s - s. What is the remainder when w(-16) is divided by s?
9
Let v = 59793 - 59734. Let d = 16 - 9. What is the remainder when v is divided by d?
3
Suppose -6290*y + 6276*y + 1132 + 7366 = 0. What is the remainder when y is divided by 83?
26
Suppose -4908 = -m + j, 33*m + 9804 = 35*m + 2*j. What is the remainder when m is divided by 68?
9
Let h(n) = 3*n + 1. Let w(d) = 12*d + 88. Let v(y) = -3*h(y) + w(y). Calculate the remainder when 30 is divided by v(-19).
2
Let w = 125 + -74. Suppose -9 = -5*r - 2*h + 29, 5*r - 2*h = 22. What is the remainder when w is divided by r?
3
Suppose 0*z - z = -6. Suppose -586*s + 587*s = 362. Suppose 2*m + s = 392. Calculate the remainder when m is divided by z.
3
Let z(a) = 3*a**2 + 7 - 3*a + 4 + 0 - 9*a. What is the remainder when 233 is divided by z(5)?
25
Suppose -127*a + 28*a + 9009 = 0. Calculate the remainder when 3548 is divided by a.
90
Let d(f) = f**2 - 3*f - 4. Let t = 174 - 162. Calculate the remainder when (-700)/(-21)*9/t is divided by d(6).
11
Suppose 0 = -40*l + 6*l + 12954. Let t = 184 - 160. What is the remainder when l is divided by t?
21
Let n(x) = -4*x**3 + 5*x**2 + 9*x + 9. Calculate the remainder when n(-3) is divided by 69.
66
Let t = 114 - 52. Suppose -3*c + 100*p - 102*p + 554 = 0, 566 = 3*c + 5*p. What is the remainder when c is divided by t?
58
Let a = 133 + -222. What is the remainder when -5 + (-1 - a) - (-2 - -1) is divided by 18?
12
Let i = -802 + 872. Calculate the remainder when 113 is divided by i.
43
Let v(r) = -23*r + 226. What is the remainder when 151 is divided by v(5)?
40
Suppose -8 - 15 = -2*k - 3*d, d = -k + 11. What is the remainder when ((-45)/k - -3)/(2/(-636)) is divided by 15?
12
Suppose -91*m + 90*m = -12. What is the remainder when 57 is divided by m?
9
Let n(r) = 17*r**2 - 17*r - 54. Let g be n(-9). Suppose 12*u - g = -396. Calculate the remainder when 1348 is divided by u.
88
Suppose 0 = -18*m + 5746 - 5674. What is the remainder when 583 is divided by m?
3
Let b = 21530 + -21466. Calculate the remainder when 2176 is divided by b.
0
Suppose 203 = 5*w + 28. Let x(g) = g**2 - g - 4. Let m be x(6). Suppose -11*a = -7*a - 2*k - m, 4*a - 29 = 5*k. What is the remainder when w is divided by a?
5
Let z be 116/14 - 6/21. Let w = 18 + z. Calculate the remainder when w is divided by (414/1863)/(1/72).
10
Let r be -1 - (-36 - 2/(-2)). Let f(h) = h**2 - 7*h - 89. Calculate the remainder when (r/(-4))/(8/(-16)) is divided by f(-7).
8
Suppose -7*y = -19*y + 19068. Suppose 1587*f + 224 = y*f. Calculate the remainder when 346 is divided by f.
10
What is the remainder when ((10 + 6 + -9 - 6)*-691)/(-1) is divided by 23?
1
Let z be 1/(((-90)/10)/(-3879)). Suppose 9*x - z = 19. What is the remainder when 294 is divided by x?
44
Let t(b) be the second derivative of 61*b**3/3 - 129*b**2/2 + 2*b + 22. Calculate the remainder when t(6) is divided by 11.
9
Let d(v) = v**3 - 41*v**2 - 14*v + 43. Suppose -2*y + 26 = -y. What is the remainder when d(42) is divided by y?
23
Let w(k) = 14*k + 24. Let m = 201 + -199. What is the remainder when w(m) is divided by 15?
7
Suppose -2*a - 11*a + 988 = 0. Suppose -x + 7*x = 78. What is the remainder when a is divided by x?
11
What is the remainder when 989 is divided by (114/(-76)*2)/((-1)/21)?
44
Let k = -1333 - -609. Let y = k + 863. What is the remainder when y is divided by 57?
25
Let g = 737 - -100. Suppose -g = -37*q - 60. Calculate the remainder when q is divided by 16.
5
Let f(q) = q**3 + 14*q**2 - 39*q - 629. What is the remainder when 3712 is divided by f(-13)?
46
Let y(f) = 9*f + 7. Let g(c) = 4*c + 3. Let k(x) = 5*g(x) - 2*y(x). Suppose 35 = 2*m + 3*m. What is the remainder when m is divided by k(1)?
1
Calculate the remainder when (-4 + 150 + 0)*-3*(-5)/6 is divided by 87.
17
Let k(p) = 11*p + 199. Let n be k(-15). What is the remainder when ((-52)/2)/(1*n/(-323)) is divided by 64?
55
Let s(w) = -w**2 + 5*w - 4. Let r = 27 - 20. Let l be s(r). Calculate the remainder when l/4*(-56)/6 is divided by 11.
9
Let w(m) = -5*m**2 - 22*m - 7. Let c(i) = -6*i**2 - 24*i - 7. Let n(r) = 2*c(r) - 3*w(r). What is the remainder when n(-7) is divided by 8?
4
Let s(i) be the first derivative of i**2/2 + 64*i - 18. Calculate the remainder when 101 is divided by s(-27).
27
Suppose 42*o - 2198 + 224 = 0. Suppose 5*u + z = -190, 0 = -u + 5*z + 1 - 65. Let v = o + u. What is the remainder when v is divided by 3?
2
Let f(r) = -343*r - 477. What is the remainder when f(-5) is divided by 17?
14
Calculate the remainder when 373 + -1 - (-3 - 18 - -27) is divided by 107.
45
Suppose 5*u = 4*u. Suppose -o + 96 = -u*o. Suppose 314*c = -237*c + 16809 + 1374. What is the remainder when o is divided by c?
30
Let s = -6711 + 7139. What is the remainder when s is divided by 48?
44
Let h be (-4)/(-2) + 9 + (-30)/10. Calculate the remainder when 21 is divided by (0 - 8)*(-6)/(-2 + h).
5
Let d = -135 + 140. Suppose -4*n = d*q - 182, -4*q + 3 + 5 = 0. What is the remainder when 73 is divided by n?
30
Let v(d) = 28*d**2 + 7*d + 67. What is the remainder when v(-4) is divided by 88?
47
Suppose -c - 5*k - 18 = -227, 0 = 5*k - 20. Calculate the remainder when c is divided by 49.
42
Let s be (2300/(-125))/(1/5). Let n = s + 152. Suppose a = -2*a + 63. What is the remainder when n is divided by a?
18
Suppose 6*b = 10*b - 12. Suppose 25 = 2*l - b. Suppose -l - 15 = -w. What is the remainder when w is divided by 5?
4
What is the remainder when 1374 is divided by (-14 + 316/8)*6?
150
Let d(f) = -f**2 - 10*f + 21. Let j = -93 + 84. Calculate the remainder when d(j) is divided by 3.
0
Let a = 126 - 107. Let z(g) = -g**2 - 18*g + 4. Let q be z(-18). What is the remainder when 20/(-50) + 141*q/10 is divided by a?
18
Suppose 0 = -5*h + 6239 - 1449. Calculate the remainder when h is divided by 107.
102
Calculate the remainder when 2968 is divided by 56/(3 - 2) - (6 + (-5 - -1)).
52
Let d be (-208)/(-32) - 5/(-2). Suppose -x - p = 2*p - 4, -3*p - d = 0. Calculate the remainder when 51 is divided by x.
12
Suppose -2*l - 4*y + 12 = 0, 7*l + 4*y = 6*l + 16. Calculate the remainder when 49 is divided by 11*l/(-24)*6.
5
Let d(y) = -46*y + 1238. What is the remainder when 14487 is divided by d(26)?
39
Let c(s) = -s**2 - 17*s - 58. What is the remainder when 83 is divided by c(-12)?
1
Let g(j) = -6*j + 142. Let q be g(22). What is the remainder when (170 + -18)*q/8 is divided by 12?
10
Suppose 2*s + 2 = 0, -o - 175*s = -173*s - 4. What is the remainder when 6657 is divided by o?
3
Let g = -10 + -9. Let c = g + 21. Suppose -c*a = -3*h - 12, a + 2*h - 11 = h. What is the remainder when 24 is divided by a?
6
Suppose -9*q + 7 = -155. What is the remainder when 156 is divided by q?
12
Suppose -30*v - 622 = -4*j - 29*v, 4*v + 628 = 4*j. Calculate the remainder when 1224 is divided by j.
139
Suppose 3*q + 9 - 40 = 4*b, -4*q - 2*b + 12 = 0. Let t be (-1 - 0)/((-1)/