-2*x + x = -52. Suppose 2*z + 10 = x. Suppose 0 = -4*w + z + 11. Calculate the remainder when 38 is divided by w.
6
What is the remainder when ((-27)/(-5))/(906/1510) is divided by 1?
0
Suppose -4*c + 432 = -15*k + 19*k, -3*k = -5*c + 540. Let s(u) = -u**2 - 21*u - 29. Calculate the remainder when c is divided by s(-16).
6
Let c(w) = w**3 - 20*w**2 + 5*w - 9. Calculate the remainder when 512 is divided by c(20).
57
Let z(h) = -2*h**2 - 27*h + 138. Calculate the remainder when 152 is divided by z(-17).
0
Let m(w) be the second derivative of w**5/5 + w**4/12 + 7*w**3/6 - 27*w**2/2 - 84*w. Calculate the remainder when m(3) is divided by 38.
35
What is the remainder when ((-8)/50)/2 - (-36885)/125 is divided by 8?
7
Suppose 0 = -4*i - 4*x + x + 58, -4*x = 8. What is the remainder when 909 is divided by i?
13
Let g(z) = z**3 + z**2 + 1. Let a(f) = 2*f**3 - 5*f**2 - 20*f - 8. Let n(x) = a(x) - 3*g(x). What is the remainder when n(-7) is divided by 45?
35
Let m(h) = -402*h - 3408. What is the remainder when m(-11) is divided by 11?
2
Let u be ((-4)/(-6) + -1)/(10/60). Let f be (2 + -2)/(2 + u/2). Suppose -k + f*k + 80 = 5*x, k = 3*x - 40. Calculate the remainder when 87 is divided by x.
12
Suppose -14 = 5*y - 59. Let z(v) = v**2 + 2*v - 5. Let m be z(-3). Calculate the remainder when y is divided by ((-40)/(-25))/(m/(-10)).
1
Suppose 0 = 9*f + 81340 - 81412. What is the remainder when (-4)/14 + 410/14 is divided by f?
5
Suppose -82 = 3*j + l, j + 3*l = -18 - 20. Let v = j + 51. Calculate the remainder when 138 is divided by v/2 + 21/14.
12
Let d be 4/(-2) - (1 + 0). Let a = 46423 - 46417. What is the remainder when 82/d*(2 + -5) is divided by a?
4
Suppose 3*r - 5*r + 32 = 0. Let c = 82 - 72. What is the remainder when 1 + (285/c - 2/(-4)) is divided by r?
14
Let z = 8081 + -6777. Calculate the remainder when z is divided by 87.
86
Suppose -65 = -6*x - 683. Let a = x + 115. Calculate the remainder when 35 is divided by a.
11
Suppose -68*r = 71*r - 164*r + 34600. What is the remainder when r is divided by 688?
8
Let b(u) = 35836*u**3 - 35835*u**3 - 15 + 43 - 8*u. What is the remainder when b(6) is divided by 101?
95
What is the remainder when 15181 is divided by 5375/344 + 6/(-32)*(-6 + 4)?
13
Let l(s) = s**2 - s + 35. What is the remainder when l(15) is divided by 50?
45
Let k = 977 - 530. What is the remainder when k is divided by 90?
87
Let w be -4 - -6 - (-6)/1. Suppose -140 = -w*l + 3*l. Suppose -3*p - 7*s + 82 = 0, -13*p - 20 = -18*p + 5*s. Calculate the remainder when l is divided by p.
6
Let g = 18709 + -15866. What is the remainder when g is divided by 931?
50
Let n = -240852 - -240897. Suppose -3*s = 2*s - 1105. What is the remainder when s is divided by n?
41
Let h(f) be the third derivative of -7*f**4/24 + 43*f**3/6 - 141*f**2. Calculate the remainder when 71 is divided by h(4).
11
Suppose 3*a - 6*a = 5*q - 1096, 0 = 2*q - a - 434. Suppose 4*m - q = -3*t - 24, 58 = m - 4*t. Calculate the remainder when m is divided by 18.
14
Let m = 242 + -193. Suppose 54*j = m*j + 95. What is the remainder when 130 is divided by j?
16
Let b(f) = f**2 - 2*f + 16. Let s be 30/8 + 10/8. What is the remainder when 59 is divided by b(s)?
28
Let r(b) = 172 + 46*b - 74 + 7*b**2 - 81. What is the remainder when r(-8) is divided by 11?
9
Suppose 0 = -s - 5*w - 9, -5*w - 17 = 4*s - s. Let v be (1 + 2)/((-6)/s). Calculate the remainder when -5 + v + -3 + (-96)/(-2) is divided by 11.
9
Let y(q) = q - 31. Let f(b) = 1. Let s(t) = -4*f(t) - y(t). Calculate the remainder when 76 is divided by s(7).
16
Let p be -5 + 6 + 5/(-5). Suppose p*b - 3*b - 1357 = -5*s, -4*s - 4*b = -1060. What is the remainder when s is divided by 45?
44
What is the remainder when 1573 is divided by (795/20 + 6)*(-28)/(-21)?
48
Suppose -s + 4*s + 573 = 0. Let h = -423 - s. What is the remainder when 109 is divided by 108/(-162) + (-1 - h/6)?
35
Suppose -9*d + 7235 + 127 = 0. What is the remainder when d is divided by 21?
20
Let y(i) = -2074*i - 12643. What is the remainder when y(-13) is divided by 80?
79
Suppose -2*f - i = -252, f - 119 = 2*i + i. Suppose -22*t + 21*t = -3*b + 86, 0 = -5*b - 2*t + f. Calculate the remainder when 296 is divided by b.
26
Let o = 107 + -261. Let z = o - -207. Calculate the remainder when z is divided by 27.
26
Suppose 2051 - 583 + 1268 = 171*a. Calculate the remainder when 5163 is divided by a.
11
Let d be 6*12*(-1 - 0). Suppose -7*n - 503 = -195. Let z = n - d. What is the remainder when 110 is divided by z?
26
Suppose -143*m + 415918 = -42*m. Calculate the remainder when m is divided by 13.
10
Let l = 349 + -205. Let j = l - 86. Suppose -m = -o - 0*m + 19, 3*o + 5*m = 73. Calculate the remainder when j is divided by o.
16
Let o(j) = -j**2 + 19*j - 35. Let l(t) = 4*t**2 + 21*t - 4. Let c be l(-6). Let y(k) = -4*k - 7. Calculate the remainder when o(c) is divided by y(-5).
9
Let i(q) = q**2 + 15*q - 1503. What is the remainder when i(34) is divided by 108?
55
Let i(j) = 9*j + 27. Let a be i(-3). Suppose 5*g + 146 = 3*q - 696, 5*g - 25 = a. Let d = -178 + q. Calculate the remainder when d is divided by 16.
15
Let w be 2/(-3) - 700/(-42). Suppose w = 4*y - 36. Calculate the remainder when y is divided by 9.
4
Let o(y) = -25*y - 70. Let r(v) = -2*v - 2. Let c(j) = -2*o(j) + 30*r(j). Calculate the remainder when 172 is divided by c(6).
12
Let s be 20*-2*4/(-8). Suppose -s = -4*o + 44. Suppose 6*r = 677 + 73. Calculate the remainder when r is divided by o.
13
Suppose -11*k - 150 = -8*k. Let l = -93 + 66. Let d = l - k. What is the remainder when d is divided by 12?
11
Let a = -17136 - -17169. What is the remainder when 6136 is divided by a?
31
Let a(i) = -i**3 - 11*i**2 - 5*i - 53. Let n be a(-11). Let p = 17 + 5. What is the remainder when ((-654)/(-42))/((n/(-2))/(-7)) is divided by p?
21
Suppose -2*p + 489 = h, 32*p + 2*h - 484 = 30*p. Suppose 3*o - 385 + p = 0. What is the remainder when 177 is divided by o?
39
Let i = 1 + 11. Let g = -54 - -72. Suppose -2*m + 74 = -g. What is the remainder when m is divided by i?
10
Suppose -n - 40 = -5*k, -4*n - 4*k - 12 - 124 = 0. Let z = n + 39. Suppose 2*p - 1 = 3*p + z*j, 53 = 4*p - 3*j. What is the remainder when 32 is divided by p?
10
Suppose 0 = -46*h + 20*h + 11596. What is the remainder when h is divided by 51?
38
Suppose 0 = -3672*z + 3677*z - 105. Calculate the remainder when 260 is divided by z.
8
Let a = 1361 + -1338. Suppose -z - 3*i = -62, 5*i = -0*z + 3*z - 144. Calculate the remainder when z is divided by a.
7
Let z = -173 + 161. What is the remainder when (-2 + (-6)/z)/(1/(-8)) is divided by 4?
0
Calculate the remainder when 586 is divided by (-135)/(4*12/(-32)).
46
Calculate the remainder when (-33)/(-22)*1/((-6)/(-1988)) is divided by 242.
13
Let b(r) = r**3 - 6*r**2 + 13*r - 5. Let j = 486 + -481. What is the remainder when b(j) is divided by 13?
9
Suppose 3*o - 13 = 932. Suppose 5*j + 3*g = 526, -3*j + 7*g + o = 9*g. What is the remainder when j is divided by 10?
7
Let h = 50 - -53. Let p(o) = -2*o**3 - 173*o**2 - 91*o + 185. What is the remainder when p(-86) is divided by h?
100
Suppose 5*t = o - 256, 2*o + 2*t - 33 = 443. Let m(s) = -s**3 - 35*s**2 + s + 62. What is the remainder when o is divided by m(-35)?
25
Suppose -5*p - 5*r + 15 = 0, -5*p - 4*r + 17 = 2. Let x be 1*p/(3/10). What is the remainder when 1142/x + (-4)/20 is divided by 29?
27
Let j(f) = -f**2 + 7*f - 3. Let o be j(6). Let c(w) = -5301*w + 10*w**2 - 3 + 2652*w - 1 + 2650*w. What is the remainder when c(o) is divided by 31?
27
Calculate the remainder when 2246 is divided by (-6 + (-900)/54)/(2/(-66)).
2
Suppose 3*y + 5*f = 342, 2*y + 2*y = f + 433. Let h = 249 + -173. Let v = y - h. Calculate the remainder when 96 is divided by v.
30
Suppose 0 = 2*x + 23 - 9. Calculate the remainder when 9 is divided by (-1)/((-2 - x/4)*2).
1
Suppose 14163 = -30*k + 106473. Calculate the remainder when k is divided by 54.
53
Suppose -3*v + 44 = -2*o - 13, 3*v + o - 66 = 0. Suppose -5*f = -2*t - 3341, 4*t + 23 - 11 = 0. Let s = -563 + f. What is the remainder when s is divided by v?
20
Let f be 64/34 - 42/(-357). Let y(h) = 11*h**2 - 11*h + 23. What is the remainder when 134 is divided by y(f)?
44
Suppose 12 = -3*q, -4*t + 190 = -3*q + 126. Let k(d) = 4*