r when 7 is divided by m.
3
Let h = -20 + 24. What is the remainder when 12 is divided by h?
0
Suppose 5*i = 2*i. Suppose i = k - 4*t - 6, 0 = -4*k + 5*t - t + 12. What is the remainder when k is divided by 2?
0
Let v = 10 - -6. Suppose -2*i + 52 = -42. Calculate the remainder when i is divided by v.
15
Let a(n) = 67*n + 1. Let t be a(1). Suppose 3*z - 10 = -2*g, 3*g - z = z + 2. Suppose -g*q + t = 2*q. Calculate the remainder when q is divided by 6.
5
Let p = 5 + -2. Calculate the remainder when 15 is divided by 10 - (3 - (-2 + p)).
7
Suppose -4*b + 7 = -37. Let l be 1/(-2) + (-27)/(-6). Suppose -f - l*f + 23 = p, f + 5*p = 19. Calculate the remainder when b is divided by f.
3
Suppose -4*y + 65 = y. Let t = -69 + 74. Calculate the remainder when y is divided by t.
3
Let g = 1 + 6. Suppose -4*u + 28 = 2*d, -2*d + 5*u = 2*d - 82. What is the remainder when d is divided by g?
4
Let a(g) = g**2 - 3*g + 3. Let z be -3 - 5/((-15)/6). Calculate the remainder when -2 - -26 - 1*z is divided by a(5).
12
Suppose -5*l - 20 = 0, 9*a - 93 = 4*a + 2*l. What is the remainder when a is divided by -3 - 1/(-1) - -8?
5
Let n(g) be the third derivative of g**6/120 - g**5/30 - g**4/6 - g**3/6 - 4*g**2. Calculate the remainder when 27 is divided by n(4).
12
Suppose -4*c = -226 + 82. Calculate the remainder when c is divided by 20.
16
Let t(j) = -j**3 - 6*j**2 + 5*j + 14. Calculate the remainder when t(-8) is divided by 26.
24
Let q = 2 + 3. Suppose 3*l = -2*w + 23, -l = -q*w + 35 + 48. Suppose 46 = -3*k + 4*k. Calculate the remainder when k is divided by w.
14
Suppose 0 = 5*d - 3*b + 6*b - 135, -130 = -4*d + 2*b. What is the remainder when d is divided by 11?
8
What is the remainder when 2/6 + 208/6 is divided by ((-4)/(-6))/(12/216)?
11
Let y(s) = s**2 + 5*s. Let m be y(-5). Suppose m*z - 3*z + 24 = 0. Calculate the remainder when 23 is divided by z.
7
Let y(p) = -p**3 - 4*p**2 + 4*p + 5. What is the remainder when 39 is divided by y(-5)?
9
Suppose k - 45 = -0*k. What is the remainder when k is divided by 19?
7
Let v(j) be the third derivative of 3*j**6/20 - j**3/6 - 2*j**2. Let f(s) = -2*s**3 - 3*s**2 - 3*s - 1. What is the remainder when v(1) is divided by f(-2)?
8
Let i(q) = q - 2. Let l be i(5). Suppose 42 = 4*m - m + 3*n, n + l = 0. Suppose 24*g - 15*g - 288 = 0. What is the remainder when g is divided by m?
15
Let z be 0 - 2 - (-14 + 8). Suppose -5*h = 4*o - 0*h - 73, -z*h = 12. Calculate the remainder when o is divided by 6.
4
Let n(a) = -7*a - 12. Calculate the remainder when n(-7) is divided by 8.
5
Let a(z) = -31*z - 3. Calculate the remainder when a(-5) is divided by 39.
35
Let p(f) = -9*f - 2. Let n(y) = y + 3. Let k = 23 + -14. Calculate the remainder when p(-4) is divided by n(k).
10
Let h(m) = m**3 - 5*m**2 - 5*m + 6. Suppose -4*x = x - 10. Suppose -44 = -0*d - x*d. What is the remainder when d is divided by h(6)?
10
Let z = 4 + -2. Suppose -8 = 5*c - 33. Let x = c - z. Calculate the remainder when 5 is divided by x.
2
Let s = -16 + 11. Let j(c) = c**3 + 6*c**2 + 3*c - 6. What is the remainder when 7 is divided by j(s)?
3
Let j = -2 + 5. Suppose j = 3*r - 9. Suppose 2*y + 3*q = 29, -2*y + 32 = 7*q - 3*q. Calculate the remainder when y is divided by r.
2
Suppose 0*f = 3*f + 12. Let q(g) = -8*g - 12. Let j(s) = -23*s - 35. Let y(d) = 6*j(d) - 17*q(d). Calculate the remainder when y(f) is divided by 2.
0
Suppose 45 = 128*t - 123*t. What is the remainder when 43 is divided by t?
7
Let o(j) = j**3 + 8*j**2 - 7*j + 5. What is the remainder when o(-7) is divided by 35?
33
Let h = -53 + 98. What is the remainder when h is divided by 24?
21
Suppose -i = -3 + 1. Let t be (-3)/i*16/(-6). Suppose -q - t*q = -45. Calculate the remainder when 17 is divided by q.
8
What is the remainder when 316 is divided by 13/((-260)/(-232))*(-10)/(-4)?
26
Let k(r) = r**2 + 5*r - 3. Let b be k(-6). Let i = 50 + b. What is the remainder when i is divided by 18?
17
Let d(q) = -q**2 - 2*q + 2. Let s be d(2). Let h(k) = k**2 + 7*k + 4. Let n be h(s). What is the remainder when 20 + (0/n)/2 is divided by 7?
6
Let z(d) = 8*d**2 - 33*d - 37. Let r(u) = -2*u**2 + 8*u + 9. Let b(m) = -9*r(m) - 2*z(m). What is the remainder when 49 is divided by b(5)?
10
Suppose -2*y + 130 = 3*y. Suppose 5*b + 5*v + 5 = 0, -b + y = 3*b - 2*v. What is the remainder when 10 is divided by b?
2
Let p be (-9)/2*(5 - -1). Let s = -16 - p. Suppose 0 = -4*n + 1 + 23. What is the remainder when s is divided by n?
5
Let u be 0/4 + 4/(-1). Calculate the remainder when 63 is divided by (u - 1) + 3 + 18.
15
Suppose -5*i = -2*z - 37, -4*i + 8*z + 20 = 4*z. What is the remainder when i is divided by 5?
4
Let g be (-132)/(-21) + 6/(-21). Let r be (1 - g)*(-3)/1. Suppose -25 - r = -5*i. Calculate the remainder when 21 is divided by i.
5
Suppose -1 - 1 = -c. Suppose -14*x + 98 - 14 = 0. Calculate the remainder when x is divided by c.
0
Let p(m) = 54*m + 1. Let c be ((-50)/15)/((-2)/(-6)). Let n = 24 + c. What is the remainder when p(1) is divided by n?
13
Suppose -5*x + 54 = 4*r - 8*x, -5*r + 69 = -3*x. Let s(p) = 3*p - 1. Calculate the remainder when r is divided by s(3).
7
Let j(d) = d**3 + 7*d**2 - 12*d - 9. Let a(q) = q**2 - 7*q + 2. Let x be a(5). What is the remainder when j(x) is divided by 12?
11
Let n(i) = -4*i + 11. Calculate the remainder when 64 is divided by n(0).
9
Suppose 14*t - 131 = 93. Calculate the remainder when 62 is divided by t.
14
Let z = 0 - 1. Let l = 7 + z. What is the remainder when l*(-2 - (-27)/6) is divided by 9?
6
Calculate the remainder when 2/((-123)/(-39) - 3) is divided by 8.
5
Suppose 4*p - x + 0 = 37, -p + 10 = -x. Let g(d) = -d**2 + 10*d - 5. What is the remainder when g(p) is divided by 2?
0
Suppose -4*s - 5*k + 12 = 0, -7*k + 12 = 4*s - 3*k. Let v(y) = y - 3. Let r be v(s). Suppose r = -2*c + 42 - 10. What is the remainder when 46 is divided by c?
14
Suppose -3*q + 15 = 2*q. Let a = q + -2. Calculate the remainder when 1 is divided by a.
0
Let y(h) = h**2 + 6*h + 2. Let d(t) = -t**2 - 5*t + 5. What is the remainder when y(-8) is divided by d(-5)?
3
Let r = 0 + 9. What is the remainder when (2 - -22)*2/3 is divided by r?
7
Let n(s) = -s + 3. What is the remainder when 37 is divided by n(-7)?
7
Suppose -5*z = 5*o - 15, 5*o - 11 - 4 = -2*z. Suppose -13 = -r - z*r. Calculate the remainder when 49 is divided by r.
10
Let w(y) = y + 1. Let m be w(5). Let t = m - -46. Suppose 6*g - 84 = 24. Calculate the remainder when t is divided by g.
16
Let v = 13 + -11. Let w = v - -3. Let j(d) = 3*d**2 + d - 1. Calculate the remainder when w is divided by j(1).
2
What is the remainder when -1 - (-317)/2 - (-16)/32 is divided by 8?
6
Suppose 4*j + 194 + 190 = 0. Let r = 145 + j. Calculate the remainder when r is divided by 13.
10
Suppose -5*i - 5 = 0, i + 1 = 5*s - 20. Suppose -6 = 3*a - 15. Suppose f - 1 = -c, -2 = -f + a*f + 4*c. Calculate the remainder when s is divided by f.
1
Let x(t) = 48*t**2 + 2*t - 1. Let h be x(1). Let o be 1/(-3) + h/21. Suppose -n - 112 = -5*z, z + n = -o*n + 32. What is the remainder when 67 is divided by z?
21
Let j(m) = -3*m**3 + 3*m**2 + 3*m + 3. What is the remainder when j(-3) is divided by 26?
24
Suppose -3*y = 3*b + 2127, -7*b - 3535 = -2*b - 5*y. What is the remainder when (-2)/7 + b/(-28) is divided by 9?
7
Let n be -2 + -2 + 2 + -1. Let y = 2 - n. Calculate the remainder when y is divided by 2.
1
Let m(t) = -t**3 + t**2 + t + 44. Let x = -130 + 153. What is the remainder when m(0) is divided by x?
21
Suppose -2 = 4*v - 3*v. Suppose 0 = h - 4, -h - 29 = -f - 2*f. What is the remainder when (v - (-1 + 0))*-31 is divided by f?
9
Suppose -2*w = 4*j - 102, 0 = -3*w + 4*j - 0*j + 153. Suppose v = 4*v - w. Let h = -8 + v. What is the remainder when 26 is divided by h?
8
Suppose 0 = -8*i + 5*i + 9. What is the remainder when i is divided by 2?
1
Let q(z) = z**2 - 5. Suppose 30 = 5*r + 5. Let f = 37 - r. Calculate the remainder when f is divided by q(4).
10
Let o(x) = x + 1. Suppose -16*k + 13*k = -9. What is the remainder when o(2) is divided by k?
0
Suppose -3*t + 10 = l - 2*l, 3*l + t - 10 = 0. Suppose 22 = 3*d - 6*p + l*p, -3*p - 14 = -2*d. Calculate the remainder when 19 is divided by d.
9
Suppose -3*r = 0, -5*u - r + 20 = r. Suppose -h + 35 = u*h. What is the