Let z = 179 - 141. What is the remainder when z is divided by (2/4)/(2/52)?
12
Suppose 0 = o + 3 + 2. What is the remainder when 54 is divided by (o + 33)*1/2?
12
Let s be 249/(-15) - (-9)/15. What is the remainder when 28/(-98) + s/(-7) is divided by 1?
0
Let d = 43 - 33. Let i(f) = 2*f**2 + 3*f. Calculate the remainder when i(3) is divided by d.
7
Suppose 5*i + 0*n - 245 = -3*n, 5*i - 4*n = 280. Calculate the remainder when i is divided by 18.
16
Let k be 4/(-3)*(-3)/2. Suppose -3*v + 95 = k*v. Suppose b + 20 = 3*w, 0*w - 3*w + 26 = 5*b. Calculate the remainder when v is divided by w.
5
Let c(f) be the third derivative of f**4/4 + f**3/6 - 4*f**2. Suppose 3*b + 4 = -2*a + 3*a, -3*a + 17 = -4*b. Calculate the remainder when c(2) is divided by a.
6
Suppose 2 = -2*q + 80. Suppose -q = -5*t + 266. Suppose 0 = 2*v - 3*v + t. What is the remainder when v is divided by 21?
19
Suppose -7*x + 5 = -2*x. Let j(c) = -1 + 8*c**3 - c**2 + 2*c + 15*c**3 - 3*c + 2*c. What is the remainder when j(x) is divided by 8?
6
Let z be (-4)/(-14) - (-120)/(-28). Let v(h) be the third derivative of h**5/30 + h**4/24 + 5*h**3/6 - h**2. What is the remainder when v(z) is divided by 17?
16
Suppose -3*m = -3*x + 6, 4*x - 3 = 2*m + 3. Calculate the remainder when 3 is divided by x.
0
Let d = 29 + 23. Suppose 0 = -5*b - c + 93, -3*c + 6*c = 9. What is the remainder when d is divided by b?
16
Suppose -3*q + 67 = 13. Let o = 101 + -48. What is the remainder when o is divided by q?
17
Let w = -12 - -28. What is the remainder when 45 is divided by w?
13
Let u = 32 + -19. Calculate the remainder when u is divided by 4.
1
Suppose -13 = -c - 5*r, 3*r = -r - 4. Suppose g + 4*g = -555. Let i = -76 - g. Calculate the remainder when i is divided by c.
17
Suppose 0 = -4*s - 0 + 128. Suppose -5*z = -4*a - 70, s = 3*z - a - 3. What is the remainder when 29 is divided by z?
9
Suppose -4*h - 2*a = -14, 4*a - 30 = -5*h - a. Calculate the remainder when 8*(-57)/(-12)*h is divided by 13.
12
Let m = 13 + -20. Let l = -21 + m. Let c = 15 - l. What is the remainder when c is divided by 15?
13
Let f be -40 - -1 - 1 - 0. Let q = -20 - f. What is the remainder when 38 is divided by q?
18
Let v be (2/(-7) - -2)*7. Suppose 0 = -r + 3*o + 20, -5*r - 5*o - v = -4*r. What is the remainder when 31 is divided by r?
7
Let i = -47 - -75. What is the remainder when 55 is divided by i?
27
Suppose -6*q - 22 + 76 = 0. What is the remainder when 12 is divided by q?
3
Let a be 62 + 1/(0 - -1). Suppose -4*u = 3*w - 122, 3*u + 60 + 48 = 3*w. Let r = a - w. What is the remainder when r is divided by 9?
7
Suppose -151 - 84 = 5*m. Let i = 96 + m. What is the remainder when i is divided by 17?
15
Let b(y) = -27*y**3 - 1. Let c be b(-1). Calculate the remainder when c + (3 + -2 - -1) is divided by 10.
8
Let u(f) = -3*f**3 - f**2 + 5*f + 3. Let n be u(-3). Suppose 0 = -3*q + 4*x + 45, 4*q + 5*x - 3*x = n. What is the remainder when 27 is divided by q?
12
Let m(w) = -w**3 + 3*w**2 - 2*w + 2. Let r be m(2). Suppose -c + 10 = 5*n, -4*n + r*c = c - 17. Calculate the remainder when 4 is divided by n.
1
Let q be 3/(-3)*(2 + -2). Suppose -4*y + q*y = -8. Suppose 0*a + z + 102 = y*a, 5*a = -z + 241. What is the remainder when a is divided by 17?
15
Let m(x) = 3*x**2 - 6*x - 8. Let d(w) = 5*w**2 - 12*w - 16. Let f(v) = -4*d(v) + 7*m(v). Calculate the remainder when 21 is divided by f(-6).
5
Let l(u) = u**2 - u - 1. Suppose 29 - 13 = 4*a. What is the remainder when 42 is divided by l(a)?
9
Suppose 2*x - 5*f + f - 80 = 0, -2*x - 3*f + 73 = 0. Let g = -89 + 54. What is the remainder when x is divided by (-469)/g - (-4)/(-10)?
12
Suppose h + 6 = 3*h. Let w(m) = m**2 + 3*m - 2. Let g(d) = -d**2 + 11*d - 15. Let x be g(10). What is the remainder when w(x) is divided by h?
2
Let o(x) = x**3 - 5*x**2 + 6*x - 1. Let l(u) = u**3 - 8*u**2 + 4. Let t be l(8). Calculate the remainder when 11 is divided by o(t).
4
Suppose -4*v - 29 = 4*p - 9, 0 = 3*v + p + 25. Let w = 23 + v. What is the remainder when w is divided by 4/(-2) - 3 - -10?
3
Suppose 0 = -4*i + 13 - 5. Let l be 2 - i - 0 - 0. Calculate the remainder when 2 is divided by 2/(l - -2) - -1.
0
Let h be 29 + 0 + (1 - -1). Suppose 4*f = 3*t + 63 + h, -2*t + 84 = 4*f. What is the remainder when f is divided by 12?
10
Let g = 26 - 15. Suppose 4*i - 32 - g = -p, -p + 29 = -3*i. What is the remainder when p is divided by 18?
17
Suppose 3*g - 292 = -g. Let y(n) = -n + 7. Let f be y(7). Suppose -3*w - 3*h + g = -h, f = 4*h + 4. What is the remainder when 49 is divided by w?
24
Let z = 6 + 3. Suppose -3*g + 0*g - z = -3*d, 0 = d - 2*g - 2. Suppose p = 6 + 1. Calculate the remainder when p is divided by d.
3
Let q = -2 - -2. Suppose -4*g + 46 = 5*o - 7, q = 2*g - 4. Let k = -13 + 38. Calculate the remainder when k is divided by o.
7
Let v = 5 + 6. Calculate the remainder when (-3)/(12/(-88)) + -2 is divided by v.
9
Let v(t) = t**3 + 6*t**2 - t - 8. Let p be v(-6). Let r be 9/2*p/(-3). Suppose 0 = -w + 4, -2*w = -z + r*w - 19. Calculate the remainder when 1 is divided by z.
0
Let t be 0/(-2) + 1 - -3. Suppose -20 + 8 = -t*c. Calculate the remainder when 2/c*114/4 is divided by 7.
5
Let r(b) = -3 + b**3 + b - 1 - 6*b**2 + 6*b. Suppose 17 + 1 = 3*g - s, 0 = -4*s - 12. What is the remainder when 11 is divided by r(g)?
5
Suppose 3*y - 29 = -8. What is the remainder when 26 is divided by y?
5
Calculate the remainder when 118 is divided by (4/(-6))/((-2)/90).
28
Let y(u) = -12*u - 24. Calculate the remainder when y(-7) is divided by 22.
16
Let l be (-2 + -2)/(2 - 4). Suppose 0 = -i - l*i + 42. Suppose 15 + 0 = b + 4*m, 3*m - i = -b. What is the remainder when 20 is divided by b?
9
Let a = -53 - -66. What is the remainder when 34 is divided by a?
8
Calculate the remainder when 38 is divided by (0 + 20/3)/((-16)/(-24)).
8
Suppose 4*p + 5*j = -3, 0 = 5*p - 4*j + 6*j - 9. Suppose -75 = -p*c + g, -2*g - 90 = -4*c - 4*g. What is the remainder when 45 is divided by c?
21
Suppose 2*c + 0 = 2. Let q = 38 - 16. Calculate the remainder when 31 is divided by q/(-4)*(c - 3).
9
Let j(z) = 0*z + 3*z - 2 - 2. Let r be j(6). Let m = -6 + r. Calculate the remainder when m is divided by 3.
2
Suppose 119 = -4*g + 11*g. What is the remainder when 65 is divided by g?
14
Let z(n) = 6*n + 14. Calculate the remainder when z(5) is divided by 13.
5
Let i = 10 + -4. What is the remainder when 34 is divided by i?
4
Let u(h) = 11*h - 1. Let g = 4 + -3. What is the remainder when 29 is divided by u(g)?
9
Let a be (-19 - -15) + (14 - 1). Calculate the remainder when 6 is divided by a*-1*2/(-6).
0
Let x = -8 + 8. Suppose x = -l - 10 + 36. Calculate the remainder when l is divided by 9.
8
Let t be (-44)/(-10) + 2/(-5). Suppose -t*j + 48 = -2*j. What is the remainder when 28 is divided by 3 - 1 - j/(-3)?
8
Suppose -169*t = -165*t - 164. What is the remainder when 161 is divided by t?
38
Suppose 0*c = 3*u - 2*c - 12, 4*u + c - 16 = 0. Let g = 4 + u. What is the remainder when g is divided by (0 - -4) + (-1)/1?
2
Let g be (2/(-3))/((-6)/9). Let q be 0 - (0 - g) - -2. Suppose -2*l - q*l + 45 = 0. What is the remainder when l is divided by 5?
4
Suppose 27*b - 15 = 24*b. Calculate the remainder when 32 is divided by b.
2
Let o(n) = -11*n + 2. Calculate the remainder when o(-4) is divided by 12.
10
Suppose -100 = -4*x + 12. Calculate the remainder when x is divided by 160/15 + 2/(-3).
8
Suppose -2*u = -0*q - q - 7, -3*u + 5*q + 7 = 0. Let s be ((-3)/u)/((-2)/(-16)). What is the remainder when ((-2)/6)/(1/s) is divided by 1?
0
Suppose 1 - 7 = -3*f. Calculate the remainder when 3 is divided by f.
1
Let h = 54 - 42. Calculate the remainder when 34 is divided by h.
10
Let v be 3 + 1 - (-3)/3. Suppose o - v*d - 25 = 0, -4*o + d + 24 = -0*d. Suppose -2*m - 30 = -o*m. What is the remainder when 19 is divided by m?
9
Let t(l) = l**3 + 17*l**2 + 8. Calculate the remainder when 15 is divided by t(-17).
7
Let c = 371 + -166. What is the remainder when c is divided by 69?
67
Suppose -6*p = -14*p + 416. Calculate the remainder when p is divided by 27.
25
Calculate the remainder when 35 is divided by (2/3)/((-2)/(-27)).
8
Suppose 89 = -0*c + 3*c - 2*l, -l = 1. Suppose -2*o - j = 3*o - 46, -2*j = 4*o - 32. Calculate the remainder when c is divided by o.