2 = 2*w - 4*w, w - 11 = 3*b. What is the remainder when 53 is divided by w?
11
Let k = 4 - 6. Let z(t) = -48*t - 1. Calculate the remainder when z(k) is divided by 32.
31
Suppose 3*n = 2*n + 29. Let f = n + -3. Let b = f - 11. What is the remainder when 43 is divided by b?
13
Suppose 0*j = 4*j - 44. What is the remainder when 18 is divided by j?
7
Suppose 0*n = -n + 11. Suppose -3*i = -n + 2. Suppose 5*x + i = 63. Calculate the remainder when 21 is divided by x.
9
Let c = 12 + 0. Suppose -3*y - 95 = -5*b, 2*b - 6*y + y - 19 = 0. Calculate the remainder when b is divided by c.
10
Suppose 2*h - 3*z - 14 = z, 4*z + 12 = 4*h. Suppose -3*g + g + 20 = 0. Calculate the remainder when g is divided by -1 - (h*8 - -1).
4
Suppose p - 53 = -5*k + 4, 3*p = 6. What is the remainder when 43 is divided by k?
10
Let w = -6 - 0. Let m(g) = -g + 3. Let k be m(-5). Let j = k + w. What is the remainder when 2 is divided by j?
0
Let h = 22 - 21. Suppose 2*t - t + 2*u + 1 = 0, 0 = t - 3*u - 4. Calculate the remainder when t is divided by h.
0
Let k = 80 + 29. Suppose 0 = 3*p - 4*y - y - 15, -p = -4*y - 5. Suppose 3*n = 15, -p*n + k = -0*t + 3*t. Calculate the remainder when t is divided by 10.
8
Let r(v) = -v + 16. Let d be r(8). Let f(t) = t - 6. What is the remainder when 5 is divided by f(d)?
1
Let r(u) = 4*u**2 + u + 1. Calculate the remainder when 408/108 + (-4)/(-18) + 2 is divided by r(-1).
2
Suppose -19 = -c - 4. What is the remainder when c is divided by 7?
1
Suppose -d + 0*d - 173 = -5*q, -q = -5*d - 49. What is the remainder when q is divided by 7?
6
Suppose u - 2*u = -82. Suppose -8*h + 23 = -145. Calculate the remainder when u is divided by h.
19
Let j(w) = 6*w**2 + 5*w + 4. Let v(r) = -r - 1. Let p(z) = j(z) + 5*v(z). What is the remainder when 14 is divided by p(1)?
4
What is the remainder when 20 is divided by 245/20 + 2/(-8)?
8
Let n(a) = -12*a - 28. What is the remainder when n(-12) is divided by 9?
8
Suppose -418 + 110 = -11*n. Calculate the remainder when 138 is divided by n.
26
Suppose 0 = 2*u, 5*u + 329 = -5*c + 59. Let v = 97 + c. Suppose 3*o - y = 26, 0*o = -5*o + 2*y + v. Calculate the remainder when 26 is divided by o.
8
Let g be (0/(-1) - 13) + 1. What is the remainder when 45 is divided by 4/((-16)/g) - -13?
13
Let i = -3 + 9. Calculate the remainder when i is divided by 2.
0
Suppose a - 2*a = -5*k - 19, 0 = 2*k + 8. What is the remainder when (-32)/(-14) - 2/7 is divided by (2 - (a - -4))/(-1)?
0
Suppose -g - 25 = -0*z - 3*z, 2*g + 15 = z. What is the remainder when 9 is divided by z?
2
Suppose -3*c + 89 = 2*l, -4*l = c - 91 - 72. Let q be (-2)/(-4)*(1 + 1). Let a = 15 - q. Calculate the remainder when l is divided by a.
12
Let b(m) = -m - 5. Let y be b(-9). What is the remainder when y + 18 - 2/2 is divided by 12?
9
Let o = -9 + 17. Let r(g) = -g**2 + 7*g + 7. What is the remainder when r(6) is divided by o?
5
Let b(v) = -v**3 + 6*v**2 + 7*v - 4. Let a be b(6). Let f(q) = q - 3. Let w be f(-6). Let y = a - w. What is the remainder when y is divided by 16?
15
Let v(i) = i - 3. Let y be v(9). Let p = y - 4. What is the remainder when p is divided by 2 + 1 + -3 + 2?
0
Let i(j) = -j**3 + 10*j**2 - 7*j - 6. Suppose 2*m - 3*m = -2*s + 3, -2*m + 2*s = 0. Suppose -131 = -m*g + 4. What is the remainder when g is divided by i(9)?
9
Suppose -2 = -2*n + 2. Let q = 18 + -11. Calculate the remainder when n/(-1)*81/(-6) is divided by q.
6
Suppose 5 = -5*x - 20. Let w(j) = 2*j**2 - 3*j + 3. Let m(h) = 3*h**2 - 7*h + 5. Let k(a) = x*w(a) + 3*m(a). Calculate the remainder when 9 is divided by k(-5).
4
Let g = -36 + 60. What is the remainder when 10 is divided by ((-8)/(-3))/(16/g)?
2
Let g(u) = -6*u + 5. Let m be g(6). Calculate the remainder when 123/4 - 3/(-12) is divided by m/(-2) + (-1)/(-2).
15
Suppose 46 = b + 2*r, -3*b = 4*r - 0*r - 138. What is the remainder when b is divided by 12?
10
Let h(l) = -l**2 - 8*l + 21. Calculate the remainder when h(-5) is divided by 13.
10
Suppose -2*v = -2*h - 22, 0 = 3*v + 3*h - 7*h - 29. Let d(j) = 7 - 6*j**2 + 5*j**2 + 6*j + 7*j**2 - j**3. What is the remainder when d(6) is divided by v?
13
Suppose 5*m - 80 = 50. Suppose -g = -z - 16, -4*g - 5*z + m = -38. What is the remainder when g is divided by ((-16)/12 - -1)*-18?
4
Suppose 0 = 2*u - 5*m - 133, 3*u + 3*m = -u + 279. What is the remainder when u is divided by 7/(42/(-144))*(-9)/12?
15
Let r(f) = 3*f**2 + 2*f + 2. Let s be r(-2). Suppose -s = -a - 0*a. What is the remainder when 27 is divided by a?
7
Calculate the remainder when ((-1)/5)/1 + 302/10 is divided by 6/2*(-8)/(-3).
6
Let a(v) be the first derivative of -v**3/3 + 5*v**2 + 10*v - 4. What is the remainder when a(8) is divided by 14?
12
Let n(b) = b**2 - 6*b + 8. Calculate the remainder when n(-7) is divided by 25.
24
Let u(j) = j**3 + 9*j**2 - 3*j. Let c be u(-9). Suppose -2*k + c = -5*k. Let m = 20 + k. Calculate the remainder when 21 is divided by m.
10
Suppose -3*u + 6 + 3 = 0. Suppose 0 = j + u*g - 4, j = 3*g - 2. What is the remainder when 2 is divided by (j - 0) + (-4)/(-4)?
0
Let l(x) = -x**3 - 3*x**2 + 8*x + 7. Let a be l(-5). Suppose a + 13 = 5*g. Let z = 4 + 6. Calculate the remainder when z is divided by g.
4
Let f = 11 - 7. Let g = 20 + f. Calculate the remainder when g is divided by 13.
11
Let v = 14 - 3. Let f = -4 - -10. What is the remainder when v is divided by f?
5
Suppose -6 + 88 = 2*w. Suppose 2*j + w = 3*s + 6, 0 = -s + 5*j - 10. Suppose -t - 4 = 0, -39 = -d - 2*t + t. What is the remainder when d is divided by s?
13
Let a = -14 + 25. Suppose -22 - 20 = -d. What is the remainder when d is divided by a?
9
Suppose -35 = -5*x + 5*o, 5*x + 0*o - 70 = -2*o. Suppose -5*v + 125 = -5*b, 0*b + 88 = 4*v + 2*b. Calculate the remainder when v is divided by x.
11
Suppose f = 2*y + 51, 4*f - 3*y - 189 = -0*f. Calculate the remainder when f is divided by 12.
9
Let r = 107 + -96. What is the remainder when (2/2)/((-2)/(-38)) is divided by r?
8
Calculate the remainder when 39 is divided by (-100)/(-5) - (0 + -2).
17
Let u = -11 + 15. Let d(b) = b**3 - 5*b**2 + 5*b - 2. Calculate the remainder when 2 is divided by d(u).
0
Suppose -5*a + 14 = -16. Let z(d) = -8*d. Let i be 1 + (1 + 0)*-3. Calculate the remainder when z(i) is divided by a.
4
Let t = -107 - -123. Calculate the remainder when 71 is divided by t.
7
Suppose 0 = -3*f - 5*w + 5, -f + 4*f - 5*w = -35. Let n(o) = -5*o + 1. Let a be n(-1). Let h = a + f. What is the remainder when h is divided by 1?
0
Suppose -5*d + 229 = -4*m, 2*d + 2*m - 106 + 18 = 0. Suppose 18 + 2 = 4*l. Calculate the remainder when l is divided by 4*(d/(-12))/(-5).
2
Let a(p) = p**3 - 10*p**2 + 9*p + 21. Suppose x = 2*x - 8. What is the remainder when a(9) is divided by x?
5
Let h(d) = 2*d**2 + 2*d - 1. Suppose 0 = -2*k - 2*z - 2*z - 24, 0 = -4*z - 4. Let s = 15 + k. Calculate the remainder when s is divided by h(-2).
2
Suppose 0*q - 5*q = 20. Let f(z) = -z**3 - 2*z**2 + 7*z + 6. What is the remainder when f(q) is divided by ((-9)/4)/(6/(-16))?
4
Suppose -h + 8 = -10. Calculate the remainder when 35 is divided by h.
17
Let h = 25 + -8. Let c = 24 - h. Calculate the remainder when (-4)/18 + 236/9 is divided by c.
5
Let p = -154 + 243. Calculate the remainder when p is divided by 23.
20
Suppose -16 + 1 = -3*b. Suppose 5*y = y - 4*i + 4, b*y - 4*i - 32 = 0. Calculate the remainder when 14 is divided by y.
2
What is the remainder when (0/(-1))/(-1) + (0 - -113) is divided by 29?
26
Suppose 3*f - 94 = 5. What is the remainder when 131 is divided by f?
32
Suppose -4 = 3*v - v. Let b(o) = 2*o**3 + 3*o**2 + 2*o. Let p be b(v). What is the remainder when p*(0 + -1) - -2 is divided by 4?
2
Suppose 2*c - 5*k = 43, c + 3*c + k - 31 = 0. Calculate the remainder when (c/2)/((-6)/(-40)) is divided by 16.
14
Let g be 64/(-12)*81/(-4). Suppose 0 = 3*n + n - g. What is the remainder when n is divided by 14?
13
Suppose 24 - 149 = -5*u. What is the remainder when 98 is divided by u?
23
Suppose -u - 2*c + 169 = -0*c, 5*u - 821 = 2*c. Suppose x = -4*x + u. What is the remainder when x is divided by 17?
16
Let f = 3 - -1. Suppose f*m - 2*m - 88 = 0. Let v = m - 23. Calculate the remainder when v is divided by 8.
5
Suppose -2*r = -3*u + 13 + 19, 5*r + 54 = u. Let f(x) = -x - 1. Let o be f(