mainder when p is divided by 7.
4
Calculate the remainder when (-3)/(-2)*9/((-27)/(-20)) is divided by (-21)/(-49) - 78/(-14).
4
Let d(a) = -a**3 + 18*a**2 + 2*a + 34. Let r be d(18). Let m = 79 - r. Calculate the remainder when 37 is divided by m.
1
Suppose -3*w - 77 + 11 = 0. Let k = -18 - w. Suppose 3*p + 9 = 39. What is the remainder when p is divided by k?
2
Suppose 10*w - 253 = 1167. Calculate the remainder when w is divided by 12.
10
Suppose -5*k + 62 = 4*m, k + 12*m - 19 = 9*m. Let h = -10 - -9. What is the remainder when (111/(-6))/(h/2) is divided by k?
7
Suppose -50 = -3*h - f + 13, -5*h = 2*f - 105. Calculate the remainder when 50 is divided by h.
8
Let n = -704 - -707. What is the remainder when 148 is divided by n?
1
Let b = 179 - 160. Let a(u) = 2*u**2 + u - 2. Let o be a(-6). Suppose -q - 8 = -o. Calculate the remainder when q is divided by b.
18
Suppose -2 = 2*r - 4*w, r - 5*w - 5 = -3*r. Suppose r*u = 3*o - 4*o + 1, o + u - 13 = 0. Calculate the remainder when o is divided by 11.
5
Let r(x) = x**3 - 5*x**2 + 6*x + 6. Let q = 183 + -86. Calculate the remainder when q is divided by r(4).
13
Let y = 123 - 49. Let a(x) = 74 - y + 46*x. What is the remainder when a(1) is divided by 12?
10
Suppose -39*f + 24 = -31*f. Let s be (-6)/9*1*-6. Suppose 0 = 3*b + 5*d - 35, 29 = s*b - 4*d - 7. Calculate the remainder when b is divided by f.
1
Let f(t) = t**2 + 5*t + 4. Let m be f(-6). Let z = -5 + m. Calculate the remainder when 1/5 - (-413)/35 is divided by z.
2
Suppose -227 = -4*j - 23. What is the remainder when 557 is divided by j?
47
Let u(j) = j**3 - 14*j**2 + 2*j - 21. Let m(z) = z**3 - 15*z**2 + 16*z - 14. Let x be m(14). Let w = 1 - -1. Calculate the remainder when u(x) is divided by w.
1
Let t = 1097 + -1037. Calculate the remainder when 175 is divided by t.
55
Suppose 5*u + 3*r - 1227 = r, 4*u - 2*r = 978. What is the remainder when u is divided by 31?
28
Let z(h) = -3*h + 12. Calculate the remainder when 10 is divided by z(2).
4
Suppose -3*o = 5*y - 1183, 13*y - 4*o = 11*y + 494. What is the remainder when y is divided by 12?
11
Let c(k) = k**2 - 10*k + 4. Let f be c(8). Let l be (-2)/(8/f) - -2. Suppose -l*z = -z - 92. What is the remainder when 67 is divided by z?
21
Suppose 7*d - 3*d - 80 = 0. Suppose f - d = -0*f. What is the remainder when 77 is divided by f?
17
Let x(h) = -18*h**2 - 2. Let c be x(-2). What is the remainder when (1 + 9/(-6))*c is divided by 13?
11
Let z(u) = u**3 + 6*u**2 - 12*u + 7. Suppose 0 = -2*j - 2*a - 20, j - 32 = 3*j + 5*a. Calculate the remainder when z(j) is divided by 9.
7
Suppose -5*d + 3*d + 10 = 0. What is the remainder when (-14)/(-3)*(-4 - 110/(-20)) is divided by d?
2
Suppose -2*q = -4*u - 306, 3*q = -2*q - 4*u + 779. Suppose 4*r - q = -r. Suppose 22*p - 1280 = -884. What is the remainder when r is divided by p?
13
Let b(p) = p**3 + 5*p**2 - 7*p + 3. Suppose -10*f = -3*f - 168. What is the remainder when f is divided by b(-6)?
6
Let l = -447 + 465. What is the remainder when 69 is divided by l?
15
Suppose -3*y = -t + 135, -t + 134 = 2*y - 6*y. What is the remainder when t is divided by 31?
14
Let b(x) = -14*x + 32. Let s be b(13). Calculate the remainder when 39 is divided by s/(-12) + 3/2.
11
What is the remainder when ((-2)/4)/((-7)/2758) is divided by 40?
37
What is the remainder when (-26)/(-78) + 1/(-3) + 116 is divided by 32?
20
Let m(h) = h**3 - h**2 + 18. Let y be m(0). Let g be 27/12*1248/y. Suppose -3*p + g = p. Calculate the remainder when p is divided by 14.
11
Let b(t) = t**3 - 2*t**2 - 3*t - 4. Suppose -4*n + 7 = -5*f, 2*n + 3*n = 4*f + 11. Suppose f = 2*i - 7. Calculate the remainder when 45 is divided by b(i).
13
Suppose -2*p = 2, -21 - 316 = -5*r - 3*p. Calculate the remainder when 216 is divided by r.
12
Let i(x) = x**3 + 15*x**2 - 2*x + 32. What is the remainder when i(-15) is divided by 9?
8
Let h(i) = -i**3 + 8*i**2 + i - 10. Let y be h(8). Let q(m) = m + 3. Calculate the remainder when 1 is divided by q(y).
0
Suppose -d - 5*v = -2, 10*d + v = 6*d + 46. What is the remainder when 40 is divided by d?
4
Let d be 10/(-16) + (-51)/136. Let b be (0/d)/(-2) + 6. Suppose -4*o - 94 = -b*o. Calculate the remainder when o is divided by 12.
11
What is the remainder when (-3030)/(-14) - (-28)/49 - 1 is divided by 15?
6
Let m be (6/18)/((-2)/(-24)). Let b = 3 - 3. Suppose -2*w + u + u = -30, b = -2*w - m*u + 30. Calculate the remainder when w is divided by 8.
7
Let l = -65 - -70. Suppose l*d + 56 = 12*d. What is the remainder when 11 is divided by d?
3
Suppose -2*d - 459 = -537. What is the remainder when d is divided by 2/(-7) - (-149)/7?
18
Let k(a) = -a**3 + 40*a**2 + 134*a - 204. Suppose -158 = -3*s + b, -b - 4*b - 178 = -3*s. Calculate the remainder when s is divided by k(43).
7
Suppose 2*i + 4*z + 4 = 6, i - 2*z = 21. Suppose -96 = -i*k + 8*k. What is the remainder when 124 is divided by k?
28
Let v = -30 + 23. What is the remainder when v/28 + (-77)/(-4) is divided by 5?
4
Let q(d) = 0 - 6 - d**3 - 3*d + 2*d + 5*d**2 + 0*d**3. Calculate the remainder when 27 is divided by q(4).
3
Let c be (-9)/(-54) - (-146)/(-12). Suppose f - l - 11 = 0, 3*f + 2*l - 11 - 27 = 0. Calculate the remainder when (-534)/c - (-3)/2 is divided by f.
10
Let m(v) = v**3 + 10*v**2 - 57*v - 1. What is the remainder when 337 is divided by m(-14)?
12
Let l = 857 + -716. Calculate the remainder when l is divided by 30.
21
Suppose 0 = -o + 4*f - 139 + 184, -4*o + 162 = 2*f. Suppose 3*s - 11 = 2*s. Calculate the remainder when o is divided by s.
8
Suppose 3*y = -10*y - 390. Calculate the remainder when (-2194)/y - 0 - (-150)/(-1125) is divided by 26.
21
Let l = -65 - -65. Suppose t - 4*z - 32 = l, -2*t = t + 3*z - 51. Calculate the remainder when t is divided by 3.
2
Suppose -2*o - 3*n + 160 = 0, -3*n = -5*o - n + 438. Let b(s) = s**2 - 2*s + 9. Let t be b(7). Let l = o - t. What is the remainder when l is divided by 22?
20
Calculate the remainder when 49 is divided by (-13 + 4 + -1)*1/(-1).
9
Suppose -5*w - 2420 = -4*h, 9*h - 1850 = 6*h - 5*w. What is the remainder when h is divided by 36?
34
Let x(b) = -b**3 - 16*b**2 + 16*b - 14. Let l be x(-17). Suppose l*g = g + 58. Calculate the remainder when 54 is divided by g.
25
Let g(y) = 67*y**3 + 2*y**2 + 2*y + 1. Let n be g(-1). Let u = n - -137. Calculate the remainder when u is divided by 36.
35
Let i(v) = 95*v - 13. Suppose 4*x + 2*u - 6 = -0*u, -4*x + 3 = 5*u. Calculate the remainder when i(x) is divided by 36.
33
Suppose 0 = q - 5*l - 30, -4*q - 2*l + 65 = -11. What is the remainder when q is divided by 9 - (-1 + -2)*-1?
2
Calculate the remainder when (((-959)/3)/7)/((-4)/12) is divided by 28.
25
Let z(y) = -y**3 - y**2 + y + 28. Calculate the remainder when ((-1305)/(-116))/(58/48 - 1) is divided by z(0).
26
Let b be (-3 - -5)/(6/72). Suppose 4*x = -100 - b. Let m = 50 - x. Calculate the remainder when m is divided by 21.
18
Let g = -87 - -188. Let j be (-14)/(-77) + (-224)/22. Let k(o) = o**3 + 11*o**2 + 7*o - 4. What is the remainder when g is divided by k(j)?
23
Let m(u) = 6*u - 42. Let y be m(7). Suppose y*w = -7*w + 42. Let v(n) = -2*n**3 - 3*n**2 + n - 2. What is the remainder when v(-3) is divided by w?
4
Suppose 23*j = 9*j + 630. Calculate the remainder when 178 is divided by j.
43
Let s = -30 + 18. Calculate the remainder when (18/4)/((-3)/(-6)) is divided by (-4)/6 - 68/s.
4
Suppose 125*b - 8505 = 62*b. Calculate the remainder when b is divided by 40.
15
Let r(p) be the first derivative of -9*p - 1/3*p**3 - 4*p**2 - 3. What is the remainder when 9 is divided by r(-6)?
0
Suppose -3*l = 2*l - 385. Let t = -5 + 44. Let i = l - t. Calculate the remainder when i is divided by 10.
8
Let d be (-61)/(-9) + (-12)/(-54). Suppose d*f - 1490 = -3*f. What is the remainder when f is divided by 25?
24
Suppose -2*z = v - 32, 4*v - 4 = 2*v. Let i be -5*(9/z - 0). Calculate the remainder when 2 + (i - -4) + 25 is divided by 6.
4
Let f(n) be the second derivative of -5*n**3/3 - 16*n**2 - 30*n. Calculate the remainder when f(-13) is divided by 50.
48
Calculate the remainder when 22/16 - 1 - (-29088)/256 is divided by 9.
6
Suppose -4*d + 41 = -h, 0*h + 5*d + 255 = -5*h. Let j = -25 - h. What is the remainder when 93 is divided by j?
21
Suppose 5*z + 0*d + 44 =