Suppose n - 6 - 6 = 0. Let m(p) = p**3 + 8*p**2 - 7*p - 4. What is the remainder when m(-7) is divided by n?
10
Let j(y) = -85*y**3 - y - 1. Let s be j(-1). Suppose -80*u + s*u = 110. What is the remainder when 74 is divided by u?
8
Suppose -2*t + 812 = 2*t. Suppose r - 8*r = -t. Calculate the remainder when 114 is divided by r.
27
Let t(y) = -y**3 - 19*y**2 + 27*y + 10. What is the remainder when t(-21) is divided by 119?
87
Suppose -4*y + 44 = -4. Let i be (-20)/y*(2 - 77). Let f = i - 67. What is the remainder when f is divided by 15?
13
Suppose h - 3 = 8. Suppose -g = 4*k - h, -3*g - 3*k + 38 = 2*g. Calculate the remainder when 7 is divided by g.
0
Let y = 346 + -330. Calculate the remainder when 254 is divided by y.
14
Suppose 777 = -d + 854. What is the remainder when 769 is divided by d?
76
Let s(m) = m - 1. Let f be s(6). Let k = 4 + f. What is the remainder when 23 is divided by k?
5
Let v(a) = -4 + 6 + a + 1 + 6. Let w be v(-6). Suppose o + 10 = 2*g + 4*o, 4*g - 20 = -w*o. What is the remainder when 9 is divided by g?
4
Suppose -16 = -4*h, 0 = -2*l - 5*h + 2*h + 68. What is the remainder when 16/(-48) + 824/6 is divided by l?
25
Let t be 2*(-5)/10 - -8. Suppose t*y - 3*y - 36 = 0. What is the remainder when 51 is divided by y?
6
Let b = 373 - 265. Suppose b = -0*x + 3*x. Let u = -1 - -14. Calculate the remainder when x is divided by u.
10
Let u = 73 + 12. What is the remainder when u is divided by 14?
1
Suppose -4*j = -23*o + 18*o - 829, -205 = -j + 2*o. Calculate the remainder when j is divided by 53.
52
Suppose 1426 = 34*t - 104. Calculate the remainder when t is divided by 19.
7
Let t be 3/(-1 - -2) - -75. Suppose t = 4*k + 10. Suppose 44 = u - 2*x + 4*x, 0 = 3*u + x - 147. What is the remainder when u is divided by k?
16
Let c(b) = b**2 - b - 27. What is the remainder when c(-11) is divided by 24?
9
Suppose 2 - 6 = 2*a, -47 = -5*o - 4*a. What is the remainder when 60 is divided by o?
5
Let c = -18 + 53. Suppose -9*w + c = -91. What is the remainder when 52 is divided by w?
10
Let d = 33 + -31. Suppose 609 + 132 = 3*r + 3*k, -d*k + 986 = 4*r. Calculate the remainder when r is divided by 13.
12
Suppose 136*c + 332 = 138*c. Calculate the remainder when c is divided by 30.
16
Let g = 22 + -18. Suppose 5*h - s = 30, -g = -2*h - s + 1. Suppose -10 = -7*m + h*m. Calculate the remainder when m is divided by 2.
1
Let n = 266 - 172. Suppose -y - 174 = -4*y. Let z = n - y. Calculate the remainder when z is divided by 13.
10
Suppose 0 = 2*j - 4*j - 392. Calculate the remainder when 37 is divided by 3/15 + j/(-20).
7
Let p be (4 - -19) + (1 - 4). Suppose 3*g - 5*a - 133 = 0, -4*g + 2*g + 76 = 3*a. What is the remainder when g is divided by (-79)/(-7) + p/(-70)?
8
Suppose w + 96 = 3*w. Suppose 4*a = 5*r - 65, -2*a = -3*r - a + 46. What is the remainder when w is divided by r?
14
Let q = 35 + -7. Let v = 185 - 130. Calculate the remainder when v is divided by q.
27
Let l = -23 - -30. Suppose 2*h = -3*d - l + 60, 14 = 2*d - 4*h. Calculate the remainder when 27 is divided by d.
12
Suppose 0 = -30*g + 18*g + 276. Let n = -34 - -75. Calculate the remainder when n is divided by g.
18
Suppose 0 = 14*r + 12*r - 1170. What is the remainder when 173 is divided by r?
38
Let u(f) = -f + 1. Let a be u(-2). Suppose 4*g - 59 = a*g. Suppose 0 = 160*n - 155*n - 100. Calculate the remainder when g is divided by n.
19
Suppose -5*r + 162 = d, -d = -6*d - 15. What is the remainder when 98 is divided by r?
32
Let s(u) = -2*u - 37. Let c be s(-9). Let m = 29 + c. What is the remainder when 48 is divided by m?
8
Let v = 112 - 91. What is the remainder when 76 is divided by v?
13
Let r(j) be the third derivative of 11*j**5/60 + 5*j**4/24 - 5*j**3/6 - 12*j**2. What is the remainder when 194 is divided by r(2)?
47
Let u = -542 + 657. Calculate the remainder when u is divided by 59.
56
Let h(n) = -25*n**3 - n**2 - 3*n - 2. What is the remainder when h(-1) is divided by 21?
4
Let t(r) = -6*r - 5. Suppose -7*i + 16 = 44. What is the remainder when t(i) is divided by 4?
3
Suppose 60*d - 38*d = 5764. What is the remainder when d is divided by 67?
61
Let x(y) = 6*y + 89. Calculate the remainder when x(-4) is divided by 17.
14
Suppose 173*l = 192*l - 15580. What is the remainder when l is divided by 103?
99
Let o(u) = u**3 - u**2 + 12*u - 28. What is the remainder when 75 is divided by o(3)?
23
Let h = 48 - 20. Suppose -s = 2*d - h, 2*s + s = -d + 79. Calculate the remainder when s is divided by 14.
12
Suppose 1 = -j + 5. Suppose -j*t = t. Suppose 369 = 4*n + c, n - 3*c + 2*c - 96 = t. Calculate the remainder when n is divided by 24.
21
Suppose -3*f - 475 = -2*x, x + 15*f - 14*f = 240. What is the remainder when x is divided by 49?
43
Let z = -1895 - -1902. What is the remainder when 23 is divided by z?
2
Suppose 0 = -4*u - 37 + 49. Suppose -4*z = -u*z - 18. What is the remainder when 70 is divided by z?
16
Let x(h) = h**2 - 6*h. Calculate the remainder when x(-7) is divided by -1*(11 - 42 - (-1 + 1)).
29
Suppose 35*o - 388 - 1257 = 0. What is the remainder when 139 is divided by o?
45
Let k be ((-4)/(-10))/(1/110). Suppose 2*a - 25 = -m, 3*m - 28 - k = -3*a. Let r(p) = -91*p**3 - 2*p**2 + 1. Calculate the remainder when r(-1) is divided by m.
21
Let t(z) = -2 + 1 - 4 + 6*z. Suppose -4*k + 4*m + 248 = 0, -186 = -0*k - 3*k + m. What is the remainder when k is divided by t(3)?
10
Let u(i) = i**2 + 5*i - 3. Suppose 11*q + 825 - 1254 = 0. What is the remainder when q is divided by u(3)?
18
Suppose -3*k - 3*q + 866 = -4*q, 1454 = 5*k + q. Suppose 0 = 11*n - 6*n - k. Calculate the remainder when n is divided by 11.
3
Suppose -13*c + 11*c + 6 = 0. Calculate the remainder when 52/12 + (3/9)/(-1) is divided by c.
1
Suppose -4*g + 9*g = 10, -5*u = -3*g - 604. Suppose -6*b + 4*h = -b - u, -5*h = -5*b + 125. Calculate the remainder when 152 is divided by b.
20
Let k be (-1 - -3) + (89 - -3). Suppose 4*f - 756 = 56. Let v = f - k. What is the remainder when v is divided by 28?
25
Let p(m) be the second derivative of m**4/6 - 5*m**3/3 + 6*m**2 - 19*m. Calculate the remainder when 14 is divided by p(5).
2
Suppose 3*b - 3*a - 29 = 2*b, -2*a = -5*b + 106. Suppose -z + 10 = 4. Calculate the remainder when z/2 + (99/3 - -3) is divided by b.
19
Let t = -27 - -42. Calculate the remainder when t is divided by (1*16)/(1/(4/8)).
7
Let h = -257 + 316. What is the remainder when 115 is divided by h?
56
Suppose -2*d + 2*m + 4 = -0*m, 0 = -4*d + 3*m + 8. Let s(z) = d + 0*z + 0 - z + 1. What is the remainder when s(-6) is divided by 6?
3
Let f = 51 - 32. Let j(q) = 19 - f + 7*q. What is the remainder when 40 is divided by j(2)?
12
Let t(d) = d**2 + d - 5. Let g(w) = -w**2 + 5. Let v(l) = 4*g(l) + 6*t(l). What is the remainder when v(-6) is divided by 7?
5
Suppose 80 = r - 268. Calculate the remainder when r is divided by 7.
5
Let f(p) = -11*p - 13. Suppose 0*c = 3*q - 2*c + 10, q = -c. Calculate the remainder when 25 is divided by f(q).
7
Suppose 3*x - 24 = 2*x. Suppose 2*h = -2*d - 8 + 2, -5*h - x = 2*d. Calculate the remainder when h/(-30) - (-48)/10 is divided by 2.
1
Suppose 2*u + 0*u - 3*m - 191 = 0, u = m + 93. Calculate the remainder when u is divided by 27.
7
Calculate the remainder when 112 is divided by 2/7 - -46*27/63.
12
Let t = -119 - -169. Calculate the remainder when t is divided by 15.
5
Let s(t) = 22 + 2*t - 2*t + 2*t. Suppose 0 = 3*g - 2*g. What is the remainder when s(g) is divided by 6?
4
Let i = -48 - -80. Suppose 5*t + 68 = 343. Suppose 0 = -j + 6*j - t. What is the remainder when i is divided by j?
10
Suppose -21 - 19 = 5*n. What is the remainder when -4*(-2 + 1) - n is divided by 7?
5
Suppose 4*s + 24 = 10*s. Suppose 9*b - 20 = s*b. Suppose -33 = -3*d + 3*z + 129, 2*d + b*z = 132. Calculate the remainder when d is divided by 20.
18
Let w be (1 - -14) + (-3 - -1). Suppose -g + 2 = -w. Let c(o) = -4*o + 11. Calculate the remainder when c(-12) is divided by g.
14
Suppose -21*h + 3360 = 9*h. What is the remainder when h is divided by 34?
10
Let p = 409 + -235. Let y = -104 + p. Calculate the remainder when y is divided by (24 + 0)*(-1)/(-1).
22
Let b(t) = -5*t**2 + 3*t. Let d be b(-3). Let k = -21 - d. Calculate the remainder when 128 is divided by k.
29
Let l = -103 - -98. Let p 