h = -379 - -1209. What is the remainder when h is divided by 13?
11
Let b(m) = -5*m - 2. What is the remainder when 70 is divided by b(-3)?
5
Suppose 199 = 10*g - 251. What is the remainder when g is divided by 21?
3
Suppose 4*b + 16 = 4*f, 0 = -2*f - 3*b - 14 - 3. Let q = 0 - f. Let d = q + 4. Calculate the remainder when 14 is divided by d.
4
Let b(q) = 198*q - 1966. Suppose -3*g - g = -380. What is the remainder when g is divided by b(10)?
11
Let o(k) = 16*k**2 + 2*k - 8. What is the remainder when o(3) is divided by 13?
12
Suppose -4*a = 4, -27*a - 133 = -4*p - 30*a. What is the remainder when p is divided by 6?
4
Suppose -14*r + 70 = -9*r. Let u = r - 11. What is the remainder when 4 is divided by u?
1
Let o(a) = 56*a + 243. What is the remainder when o(2) is divided by 46?
33
Let k(o) = -4*o - 45. Calculate the remainder when k(-36) is divided by 34.
31
Suppose 25*o - 375 = 1400. What is the remainder when o is divided by 11?
5
Suppose -3*m = -5*m - 5*n + 135, -3*n = 2*m - 125. What is the remainder when 274 is divided by m?
54
Let g = -71 + 73. Calculate the remainder when (-324)/g*17/(255/(-10)) is divided by 22.
20
Let g be -26 - -27 - (-5 - 0). Let i be (1 - -1)/((-2)/(-3)). Suppose -g - 75 = -i*b. What is the remainder when 106 is divided by b?
25
Let i = -505 + 529. What is the remainder when 52 is divided by i?
4
Let u(s) = 7*s + 55. Calculate the remainder when 153 is divided by u(-6).
10
Let l = 231 + -168. What is the remainder when l is divided by 34?
29
Suppose 0 = 60*x - 41*x - 1710. What is the remainder when x is divided by 46?
44
Let x(y) = 11*y**2 - 6*y + 6. Let v(s) = -s**3 + 16*s**2 + 164*s - 29. Calculate the remainder when x(4) is divided by v(23).
38
Suppose -35*u + 30*u = -520. Suppose b + 81 = 4*b. What is the remainder when u is divided by b?
23
Let o = -338 - -370. What is the remainder when 75 is divided by o?
11
Let u(j) = -3*j + 1. Let q be (2 - 2) + -2 + -2. Calculate the remainder when 36 is divided by u(q).
10
Let b = -3 - -21. Suppose b = 3*w - 5*w. What is the remainder when (6/w)/((-10)/1215) is divided by 28?
25
Suppose 12*r - 184 = 2312. Calculate the remainder when r is divided by 55.
43
Let s be (2 - (-14)/(-6))*39. Let g = 9 - s. Let u = g - -2. Calculate the remainder when 94 is divided by u.
22
Let z(p) = 5*p**2 + 31*p - 125. What is the remainder when 158 is divided by z(4)?
0
Suppose 11*l - 8*l = k + 28, -56 = -5*l + 4*k. Suppose 3*o = -32 + 77. Suppose -3*m = -2*m - o. Calculate the remainder when m is divided by l.
7
Let k = 94 + -78. Calculate the remainder when 16*2 - (1 + (2 - 1)) is divided by k.
14
Suppose 2*k - 453 = -5*y, -4*k = -5*y + 9*y - 360. What is the remainder when y is divided by 21?
7
Let t = 1 + 10. Suppose 7 = l - i, -5*l - i + 20 = 3. Let o = t - l. What is the remainder when 32 is divided by o?
4
Suppose -2*x + 2*u = -0*u - 2, -3*x = 3*u + 15. Suppose 4*r + c = 106, -2*r + 5*c + 36 = -6. Calculate the remainder when r is divided by x/((-16)/(-28))*-2.
5
Let b = -49 - -94. What is the remainder when b is divided by 21?
3
Let d = 100 + -90. Calculate the remainder when d is divided by 6.
4
Suppose -h = d - 274, 5*d = -h + 214 + 76. Suppose 8*b - 3*b = h. What is the remainder when b is divided by (76/(-6))/((-4)/6)?
16
Let y(i) = -i**2 + i + 8. Let p be y(3). Suppose 0 = 4*o + o - 245. Suppose -p*u + u = s - 18, 3*u - o = 2*s. Calculate the remainder when 32 is divided by u.
15
Let x(k) = k**2 - 2*k - 13. Let i be x(-6). Suppose j - 3*y = 0, 4*y + i = 4*j - 5. What is the remainder when j is divided by 9?
6
Let c(l) be the first derivative of -l**4/4 + 5*l**3/3 + 5*l**2/2 + 10*l + 5. Let p be c(7). Let q = 87 + p. What is the remainder when q is divided by 7?
6
Suppose -f - 68 = -3*f. Let g be (25/(-10))/(1/4). What is the remainder when f is divided by ((-28)/g)/((-6)/(-15))?
6
Let s(b) = 2*b**2 - 25*b + 32. What is the remainder when 257 is divided by s(12)?
17
Let t = -48 + 38. Let k(w) = -w**2 - 14*w - 9. Let h = 269 + -146. Calculate the remainder when h is divided by k(t).
30
Let q = 1062 - 951. What is the remainder when q is divided by 25?
11
Suppose -3*a + 4 = -h, 4*a - 1 = 3*h + 1. Suppose 0 = 4*v + 2*x - 3*x - 31, x = -h*v + 17. Calculate the remainder when v is divided by 2.
0
Suppose 65*r = 62*r + 153. Suppose 0 = x + v - 25, 4*x + 3*v - 48 = r. What is the remainder when 261 is divided by x?
21
Suppose 0 = 12*p - 10*p - 50. Let n be ((-28)/6)/(12/(-18)). Let y = n + p. Calculate the remainder when y is divided by 7.
4
Let b = 78 - -36. What is the remainder when b is divided by 31?
21
Let d = 407 - 242. Suppose 8*s - 3*s = d. Suppose 4*f = 5*h - s, -3*h + h + 2 = 4*f. What is the remainder when 8 is divided by h?
3
Suppose 3*t - 9 = 0, 5*t = 5*n - 357 + 117. Let i = 50 + -83. Let x = -7 - i. What is the remainder when n is divided by x?
25
Suppose -45*j + 52*j = 609. What is the remainder when j is divided by ((-4)/(-2) + 8)/(1/3)?
27
Let w(d) = -2*d - 3. Let j be w(-3). Suppose 0 = -4*c - j*c + 504. What is the remainder when c is divided by 25?
22
Suppose 0*f = -4*f - 72. Let a(z) = -z**2 - 20*z + 1. Calculate the remainder when 73 is divided by a(f).
36
Let l = 96 + -65. Let x be -6*((-16)/6)/(-1). Let o = 32 + x. Calculate the remainder when l is divided by o.
15
Suppose -15 = 3*l - 93. What is the remainder when 50 is divided by l?
24
Suppose 5*o - w - 198 = 0, -138 = -4*o - 3*w + 9. What is the remainder when 75 is divided by o?
36
Let q be -3 - (75/5)/(-5). Suppose -4 = -4*n, r - 69 = n - q. Calculate the remainder when r is divided by 24.
22
Let w(n) = 1 + 48*n**3 - 47*n**3 - 5*n + 5 - 3 - 2*n**2. What is the remainder when ((-2)/3)/((-2)/87) is divided by w(4)?
14
Let b = 277 + -174. Suppose 2*k - 43 = 2*h + 17, 3*h + 108 = -3*k. Let z = h + 59. Calculate the remainder when b is divided by z.
25
Let j = -50 - -74. Suppose -4*x - 32 = -b + 3*b, -x = 5*b + 80. Let d = b + j. Calculate the remainder when d is divided by 4.
0
Suppose 3*b - 16 = -b. What is the remainder when 21 is divided by b?
1
Let u = 1908 - 1883. Calculate the remainder when 649 is divided by u.
24
Let m(x) = -x**3 + 7*x**2 - x + 7. Let n be m(7). Suppose j + 4 = -3. What is the remainder when 20 is divided by (-1 - n)*77/j?
9
Let m = 37 - -37. Let x(p) = p**2 - 7*p + 13. What is the remainder when m is divided by x(8)?
11
Suppose 0 = -2*m + 5*v - 16, 0 = -m - 4*m + 5*v - 10. Suppose -c - 4*u + 11 = -35, m*c + u = 120. Calculate the remainder when c is divided by 17.
11
Suppose -24*n + 26*n - 24 = 0. Let r(k) = k**3 + 7*k**2 + 2*k - 2. What is the remainder when r(-6) is divided by n?
10
Suppose 180 = -2*r + 6*r. Suppose 352 = 2*v - 5*o, -2*v - 3*v + 880 = o. Calculate the remainder when v is divided by r.
41
Let q(m) = -m**2 - 3*m + 2. Let c be q(-3). Suppose 5*g = -c*d - 0*d - 21, 3*g = 5*d + 6. Calculate the remainder when 21/(-4)*8/g is divided by 8.
6
Let d(y) = y**3 - 10*y**2 + 27*y - 19. Calculate the remainder when 264 is divided by d(8).
57
Calculate the remainder when -4 - 13/(104/(-3368)) is divided by 61.
51
Suppose -2*f - 3*f = -15. Suppose 5*a - 79 = f*y, -y = 2*a - 4*y - 37. Calculate the remainder when 26 is divided by a.
12
Let j = 12 + -7. Suppose 5*m = m - j*w - 7, -5 = 2*m + 3*w. Suppose 3*x - 10 = m*o + 2, 0 = -2*x + 5*o + 8. Calculate the remainder when 15 is divided by x.
3
Suppose -7*h = -17 - 116. Calculate the remainder when 51 is divided by h.
13
Let j = 233 - -5. Calculate the remainder when j is divided by 49.
42
Let l(x) = 14 - 5 - 3*x**3 + 2*x**3 + 12*x**2. Let y(z) = -2*z**2 + 30*z + 12. Let u be y(15). What is the remainder when 26 is divided by l(u)?
8
Suppose 0 = 5*v - 4*i - 871, -4*v - 2*i - 348 = -6*v. What is the remainder when v is divided by 26?
19
Let l = 53 + -12. Suppose -2*f = -f - 4*q + 7, -2*f + l = 3*q. Suppose 5*w - 4*j - 20 = 0, w - 4 = -0*w - 4*j. Calculate the remainder when f is divided by w.
1
Let v be 24/(1 + 3) - -2. What is the remainder when 15 is divided by 68/v - (-2)/4?
6
Let w(p) = -13*p - 6. Let z be w(-10). Suppose u + u - 5*r + z = 0, 5*r = -3*u - 136. Let g = 71 - u. Calculate the remainder when g is divided by 31.
30
Suppose 50 = v - 4*l, -4*l + 22 = 6. Calculate the remainder when 197 is divided by v.
65
What is t