mainder when (4 - t) + 0 + 32 is divided by 12.
9
Suppose 3*z - 5*z - 8 = 0. Let i = -2 + 2. Calculate the remainder when 46 is divided by z*(-6)/(2 + i).
10
Let g = -61 - -63. Suppose g*o + 77 = -h + 4*h, 4*h + 5*o - 118 = 0. What is the remainder when 107 is divided by h?
26
Let i be (-60)/27 + 4/18. Let l be (-4)/i*3/2. Suppose 3*t + 15 = 0, -a - l*a + 4*t + 360 = 0. Calculate the remainder when a is divided by 22.
19
Let f(m) = -16*m**3 - m**2 - 10*m - 11. Calculate the remainder when 380 is divided by f(-2).
114
Let h = 283 - 232. What is the remainder when 200 is divided by h?
47
Suppose -308 = -19*c + 338. Calculate the remainder when 144 is divided by c.
8
Suppose 3*l - 27 = l + 3*x, x = 2*l - 25. Let w = -9 + 4. Let z = w + 12. Calculate the remainder when l is divided by z.
5
Let v(g) = -g**3 - 2*g**2 + 4*g + 3. Let z(t) = 6*t**2. Let y be z(-1). Let o = -11 + y. What is the remainder when v(o) is divided by 15?
13
Let a(y) = 7*y + 65. Calculate the remainder when 110 is divided by a(-6).
18
Let v(n) = 2*n**2 + 51*n + 58. Calculate the remainder when 228 is divided by v(-25).
30
Suppose 20 = 3*x - k, 32 = 2*x + 3*x - 3*k. Suppose -76*y = -86*y + 110. Calculate the remainder when y is divided by x.
4
Let g = 49 + -45. Suppose 2*t - 81 = -5*y, -y = -4*t + g*y + 207. Let n = -33 - -50. Calculate the remainder when t is divided by n.
14
Suppose o = -9*o. Suppose o = -x + 1, 4*x - 9 = -k + 6. Calculate the remainder when 38 is divided by k.
5
Let g = 5 + -3. Suppose -i - 29 = -x, g*x - 3*i = 2*i + 64. Let d = -41 + 48. Calculate the remainder when x is divided by d.
6
Let c(w) = 3*w + 27. What is the remainder when c(0) is divided by 16?
11
Let s be (-1)/(2 + 21/(-9)). Suppose -17 = -5*n + s*a + 37, 6 = 3*a. What is the remainder when (-3)/((-339)/(-174) - 2) is divided by n?
10
Let x be -48 + (-4 - -4)/(-4). Let s = x - -68. Calculate the remainder when 49 is divided by 4/s*-2*-65.
23
Suppose 2*z = -z + 5*k - 9, 3*z - k - 3 = 0. Suppose -q - 4*t = z + 5, -28 = -4*q - 2*t. Let w = 14 - q. What is the remainder when 29 is divided by w?
4
Let n(p) = 4*p - 1. Let k(a) = a - 5. Let c be k(6). Let s(m) = 6*m**2 - 129*m - 63. Calculate the remainder when n(c) is divided by s(22).
0
Suppose -3*a = -8*a + 130. Suppose 0 = -2*i - 20 + a. What is the remainder when 57 is divided by ((-5)/i)/((-3)/27)?
12
Suppose -4*r = 2*z - 148, 4*z - z - 242 = -r. Calculate the remainder when z is divided by 38.
6
Let n = 2159 - 2134. What is the remainder when 66 is divided by n?
16
Let a = -3154 - -3165. Suppose 2*p = -3*m - 28, 3*p - 7 = 2*m + 16. Calculate the remainder when a is divided by 2/(-5) + (-34)/m.
2
Let f(a) = -3*a**2 + 2*a + 2. Let u be f(2). Let o(s) = s**3 - 2*s**2 + 2*s - 6. Calculate the remainder when o(5) is divided by (-1 + -29)/((u/(-4))/(-1)).
19
Let t = 98 - 46. Suppose l = -2*c + 5*c + t, 2*l - c - 114 = 0. Calculate the remainder when l is divided by 12.
10
Let q = -193 - -382. What is the remainder when q is divided by 8?
5
Suppose 49*p = 5*p + 20020. Calculate the remainder when p is divided by 6.
5
Let p(y) = -2*y**2 + 2*y + 4. Let j be p(3). Let q be 4/16 + (-30)/j. What is the remainder when 20 is divided by ((-2)/(-3))/(q/66)?
9
Suppose -i + 40 = 3*i. Let r be 3 + (41 - (0 + -3)). Let v = r + -20. Calculate the remainder when v is divided by i.
7
Suppose -253 - 57 = -5*h. Let g(p) = -45*p + 5. Let o(w) = 30*w - 3. Let k(d) = 5*g(d) + 8*o(d). Calculate the remainder when h is divided by k(1).
14
Suppose -4*f - 2*p + 24 = -0*p, 5*f + 4*p = 33. What is the remainder when (-4)/6 - 56/(-3) is divided by f?
3
Suppose 13591 = -7*j + 13605. Let d(o) = 2*o**2 + o. Calculate the remainder when d(-2) is divided by j.
0
Let n be -2 - (-4 - 1*(-2)/2). Let s = 2 + n. What is the remainder when s is divided by -2 - 2/(4/(-6))?
0
Let c(h) = -14*h + 111. Calculate the remainder when 71 is divided by c(6).
17
Suppose -4*s - 33 = -45. Suppose 3*j + 52 = 5*u, -j + 9 = 2*u - s. What is the remainder when 20 is divided by u?
4
Let g(s) = 4*s + 1. Let x be g(21). Let i = 91 - x. Suppose -4*m = 2*k - 38, 4*k + m = 15 + 75. Calculate the remainder when k is divided by i.
5
Let x(r) = 5*r**2 - 2*r - 2. Suppose 5*w + 4*f = 7*w - 24, 18 = 2*w - f. Suppose -8 = -w*b + 24. Calculate the remainder when x(2) is divided by b.
2
Let b(h) be the third derivative of h**4/4 - h**3/6 - 4*h**2. What is the remainder when b(4) is divided by 6?
5
Suppose -7 = -5*a - 52. Let i be (20/(-12) - 0)*-18. Let u = a + i. Calculate the remainder when u is divided by 6.
3
Suppose 2*l - 24 - 7 = 3*u, 2*l = -4*u + 10. What is the remainder when 87 is divided by l?
10
Let l = 9 + -7. Suppose l*v - 72 = 6*v. Let z = -16 - v. Calculate the remainder when 6 is divided by z.
0
Suppose -y = 0, 0*j = -3*j - 5*y + 378. Let l = j + -82. What is the remainder when l is divided by 9?
8
Suppose 16*r + 21 = 19*r. What is the remainder when 8/14 + (-315)/(-49) is divided by r?
0
Suppose 0*f + 24 = 2*f. Calculate the remainder when 60 is divided by f.
0
What is the remainder when 113 is divided by (8/40 - 155/25) + 39?
14
Let r(z) = -7*z - 47. Suppose -15 = 8*k + 129. What is the remainder when r(k) is divided by -1*(-26 + (-2)/2)?
25
Suppose y + 1 + 3 = 0. Let o = -42 + 47. Calculate the remainder when 2 is divided by y - (-3 + o + -7).
0
Let u = -41 - -89. Suppose 0*q = 4*a + 5*q - 48, -4*a - 2*q = -u. What is the remainder when 80 is divided by a?
8
Suppose 5*n - 105 = -4*c, -c + 5*n - 135 = -6*c. Suppose l - 44 = -3*z, 5*l = -2*z - c + 250. What is the remainder when l is divided by 24?
20
Let a(p) be the second derivative of p**4/4 - 3*p**3/2 + 2*p**2 + 3*p. Let h be a(6). Suppose -4*r = -2*r - h. What is the remainder when r is divided by 5?
4
Suppose -4*k - 12 = 0, 3*j + 5 + 1 = -3*k. Suppose -h = -4, -m - 4*h + 86 = 4*m. What is the remainder when (-2 - -3) + j + 66 is divided by m?
12
Let s(g) = -2*g**3 + 11*g**2 - 3*g - 3. Calculate the remainder when 138 is divided by s(5).
5
Suppose -c = 5*n - 50, -4*n = 2*c + 12 - 82. Let f = -1 + 31. Let h = f - 17. What is the remainder when c is divided by h?
12
Let k(h) = h**2 - 11*h - 55. What is the remainder when k(16) is divided by 24?
1
Suppose -5*h + 4*t + 82 = -2*h, -5*t = 4*h - 161. What is the remainder when h is divided by 5?
4
Suppose -513 = 7*n - 940. Calculate the remainder when 120 is divided by n.
59
Let c(x) = 2*x**2 - 28*x + 48. What is the remainder when 54 is divided by c(13)?
10
Let y = 41 + -21. What is the remainder when -7*(-1 - ((-992)/28)/(-8)) is divided by y?
18
Let i(a) = 5*a + 58. Let l be i(-11). Suppose -3*p + l = 0, -2*p = -2*t + p + 129. What is the remainder when t is divided by (1 + -18)/(1 - 2)?
15
What is the remainder when ((-90)/(-21))/(48/448) is divided by 27?
13
Let d = 14 - 4. Let u(a) = -15*a - 25. Let n be u(-4). Suppose -d = -5*b + n. What is the remainder when 24 is divided by b?
6
Let i = -163 + 185. Let p = 27 + -15. Calculate the remainder when i is divided by p.
10
Suppose -5*h + 10*h = -20. Let b be 37/3 - h/6. Suppose -4*g - 5 = -b. What is the remainder when 5 is divided by g?
1
Let x = -38 - -47. Suppose m = -3*h + 17, -5*m + m = h + x. Let q = 19 - -7. What is the remainder when q is divided by h?
5
Suppose -4*g + 16 = -4. Let w be g/(20/(-12)) - -24. Suppose 3 = 2*s - w. What is the remainder when 45 is divided by s?
9
Let z be 2/(-8)*6*-2. Let y be ((-9)/6)/(z/8). Calculate the remainder when (-149)/y + (-1)/4 is divided by 13.
11
Let c(a) = a**3 - 13*a**2 + 14*a - 11. Calculate the remainder when 33 is divided by c(12).
7
Suppose 203 + 133 = 7*x. Calculate the remainder when x is divided by 5.
3
Let f = -54 - -77. Suppose -10*r = -f*r + 169. What is the remainder when 73 is divided by r?
8
Let g(y) = y**3 + 32*y**2 + 60*y + 64. What is the remainder when 447 is divided by g(-30)?
63
Suppose 5*p + 77 = -3. Let f(z) = -z + 20. Calculate the remainder when f(p) is divided by 19.
17
Let k(w) = 23*w**2 - 16*w - 69. What is the remainder when k(-6) is divided by 78?
75
Suppose 18*k = -24*k + 5922. Calculate the remainder when k is divided by 72.
69
Let w = 2048 + -1959. What is the remainder when 352 is divided by w?
85
Let b = -102 - -48. Let w = b - -58. Calculate the remainder when 31 i