. Calculate the remainder when 49 is divided by v.
15
Let k(f) = f + 43. What is the remainder when 45 is divided by k(-20)?
22
Let j(b) = b**2 - b - 1. Suppose 5 = q - p, -11 - 2 = -4*q - 3*p. Calculate the remainder when 21 is divided by j(q).
10
Suppose -t - 3*t = 0. Suppose t = 4*y - 6 - 6. Calculate the remainder when 7 is divided by y.
1
Let i(c) = c**3 - 7*c**2 + 3*c + 4. Let q(v) = -v**3 - 5*v**2 + 6*v + 7. Let y be q(-6). What is the remainder when i(y) is divided by 7?
4
Suppose p = 5*x - 8, x + p + 3 = 7. Suppose 5*o - 25 = 5*r, 0 = x*r + 2 + 2. What is the remainder when 3 is divided by o?
0
Suppose 31 = -j + 2*j. Calculate the remainder when j is divided by 8.
7
Let y = 3 + 0. Suppose 2*n - 10 = -5*f + 50, f + y*n - 12 = 0. Calculate the remainder when f is divided by 7.
5
Let l(h) = -h + 12. What is the remainder when 6 is divided by l(8)?
2
Let c = -10 + 24. Suppose -4*n + 76 + 77 = 3*t, 0 = 3*t + 3. What is the remainder when n is divided by c?
11
Suppose 5*f + 2 = -z - 4, -2*z - f + 6 = 0. Calculate the remainder when z is divided by 2.
0
Let t = -13 - -8. Let z = 18 + t. Let k = 29 - z. What is the remainder when 47 is divided by k?
15
Let s = 3 - 8. Let a be (-6)/(-2)*(-5)/s. Suppose -a*i + 20 = 2*i. Calculate the remainder when 6 is divided by i.
2
Suppose 2*d + 5 = 5*i, -2*d - 3*i + 1 = -2. Suppose d = 3*v - 2*q - 77, -5*v - 4*q - 75 = -196. What is the remainder when v is divided by 9?
7
What is the remainder when (-4 - (-124)/(-12))/((-3)/9) is divided by 12?
7
Suppose -87 - 5 = -4*v. Suppose -2*o - 3*o = -35. Calculate the remainder when (o + 127)/((-4)/(-2)) is divided by v.
21
Suppose m = u - 29, -m - 2 = -0*m. Calculate the remainder when 106 is divided by u.
25
Suppose -4*h + 4 + 8 = 0. What is the remainder when (0 - 1)*7/(-1) is divided by h?
1
Suppose -2*l + 3 - 7 = 0, 2*v = -4*l - 28. Let k(g) = -g - 25. Let s be k(-22). Let q = s - v. Calculate the remainder when 20 is divided by q.
6
Suppose -2*r + 5*r - 2*t - 38 = 0, 0 = 5*r - 3*t - 62. Suppose -d = -0*d - r. What is the remainder when 27 is divided by d?
7
Let c be 16/6 + (-2)/3. Suppose -c*f = f - 36. Calculate the remainder when f is divided by 7.
5
Suppose 5*k = 4*w - 72, -11 = -3*w - 2*k + 20. Calculate the remainder when w is divided by 4.
1
Let o = 3 - -32. Let i = -13 + 16. Suppose -16 = -2*n + 4*v, -3*v = i*n + v - 44. Calculate the remainder when o is divided by n.
11
Let p(n) = 5*n**2 + 4*n - 1. Let x be p(-3). Suppose -t + 295 = 5*s, t - x = -s + 27. What is the remainder when s is divided by 15?
14
Let a = 9 + -7. Suppose 4*l = a*l + 30. Let u = 10 + l. What is the remainder when u is divided by 7?
4
Let d(v) = -v**3 - v**2. Let x be d(-2). What is the remainder when 53/x + (-3)/12 is divided by 5?
3
Let w(h) = h**2 + 5*h - 6. Let x be w(-5). Let s(f) = -f + 8. What is the remainder when s(x) is divided by 8?
6
Let o be ((-15)/(-5))/((-3)/(-6)). Let d(a) be the first derivative of 3*a**2 - a - 2. Calculate the remainder when d(o) is divided by 12.
11
What is the remainder when 78 is divided by 546/27 - 2/9?
18
Let p = 35 + -9. Calculate the remainder when 25 is divided by (0 - -2)*p/4.
12
Suppose -2*t + 138 = -y, -3*y + 284 + 72 = 5*t. What is the remainder when t is divided by 18?
16
Let i(h) = -h**3 + 69. Let j be i(0). Suppose -3*y + j - 12 = 0. What is the remainder when 35 is divided by y?
16
Let x(g) = -g**2 + 7*g - 1. Let u = 81 + -77. What is the remainder when x(3) is divided by u?
3
Suppose 0*x - 5*x + 70 = 0. Let w be -10*(-3)/24*-4. Let j(m) = -m**3 - 6*m**2 - 6*m + 3. Calculate the remainder when x is divided by j(w).
6
Suppose -20 = -4*a - 0. Let o(b) = b - 8. Let j be o(8). Suppose j = 3*c - 6*c + 9. Calculate the remainder when a is divided by c.
2
Let y(k) = 2*k**3 - 3*k**2 + 3. Let u be y(3). Let g = 52 - 26. What is the remainder when g is divided by (18/15)/(4/u)?
8
Let n = 25 + 8. Suppose -2*d = f - 22, 2*f + 3*d = n + 6. Calculate the remainder when 47 is divided by f.
11
Calculate the remainder when 213/5 + (-8)/(-20) is divided by 11.
10
Let f(j) = 17*j. Let m be -1*(5 + -2) - -4. Let u be f(m). Let g = -10 + u. What is the remainder when 19 is divided by g?
5
Suppose 5*i = 46 + 14. What is the remainder when 45 is divided by i?
9
Suppose 20 = v + 12. Let u = -33 - -46. Calculate the remainder when u is divided by v.
5
Let f(s) = 11*s + 7*s + 9*s. What is the remainder when f(1) is divided by 7?
6
Let a = 7 + -7. Let y = a - -25. What is the remainder when y is divided by 14?
11
Suppose -2*i + 7*i + 2*v - 94 = 0, 0 = 5*i - 5*v - 115. What is the remainder when 39 is divided by i?
19
Suppose 4*x + t = 4*t + 93, -x + 19 = -5*t. Suppose 3*q - 5*n - x = -0*q, q + n - 8 = 0. What is the remainder when q is divided by 3?
2
Suppose -32 = -3*y + 34. Calculate the remainder when y is divided by 2 + 44/4 + -1.
10
Let r be 120/10 - 2*1. Suppose -29 - r = -3*k. What is the remainder when 49 is divided by k?
10
Let b = 70 - 26. Calculate the remainder when b is divided by 12.
8
Let x be 1/(-2)*(0 - 22). Let i = -12 - x. Let f = 37 + i. What is the remainder when f is divided by 5?
4
Let q be 2*(33/(-6) + -1). Let a = q - -36. Calculate the remainder when a is divided by 12.
11
Let m(l) = -l**2 - l + 2. Let y be m(2). Let r = y + 15. What is the remainder when 42 is divided by r?
9
Let c(b) = 5*b. Let q be c(-1). Let n(z) = -z**3 - 3*z**2 + 2*z - 2. Let x(a) = a**3 + 2*a**2 - 2*a + 1. Calculate the remainder when n(q) is divided by x(2).
12
Let v(j) = 2*j**3 - 6*j**2 - j - 9. Calculate the remainder when v(5) is divided by 44.
42
Let q = -18 - 18. Calculate the remainder when (q/(-16))/((-1)/(-4)) is divided by 5.
4
Let v(b) be the third derivative of -b**5/60 - 7*b**4/12 - 3*b**3/2 + 7*b**2. Calculate the remainder when v(-8) is divided by 14.
11
Let h(t) = 11*t**2 - t + 2. What is the remainder when h(-2) is divided by 25?
23
Let z(a) = -a**3 - a**2 - 3*a - 1. Let c be 3/((-36)/(-15))*-4. Let o = 3 + c. Calculate the remainder when 26 is divided by z(o).
8
Let u = 32 - 19. Suppose -4*v + u = -3*v. Calculate the remainder when v is divided by 6*(-2)/(-4) + 2.
3
Let y be (-2 - (-2 + 0))/(-2). Suppose -4*i + 7 + 61 = y. What is the remainder when i is divided by 6?
5
Let j be (-3)/(-4) + (-83)/4. Let g = j + -13. Let w = -11 - g. What is the remainder when w is divided by 8?
6
Suppose -3*k + 18 = -87. Let b(n) = -n**3 - n**2 + 9. Calculate the remainder when k is divided by b(0).
8
Suppose 9*p - 84 = 3*p. Let v(z) = -z**3 + 7*z**2 + 2*z - 9. What is the remainder when p is divided by v(7)?
4
Let x be ((-2)/(-3))/((-11)/(-165)). Let g = 21 - x. What is the remainder when 53 is divided by g?
9
Let w be (-30)/5*(-10)/3. Suppose -w = -x - x. Let h(v) = -3*v**3 + v + 1. Calculate the remainder when x is divided by h(-1).
1
Let i = -23 - -35. What is the remainder when 57 is divided by i?
9
Let a(b) = 60*b**2 + 2*b - 1. Let h(d) = d**3 + 3*d**2 - 2*d. Let g(i) = -i**2 - 8*i + 2. Let y be g(-8). What is the remainder when a(1) is divided by h(y)?
13
What is the remainder when 8 is divided by 3 + 5*6/15?
3
Let z be (-216)/(-5)*(-60)/(-9). Calculate the remainder when 25 is divided by z/21 - 4/(-14).
11
Let p(j) be the second derivative of -2*j**3/3 - 3*j**2 + j. What is the remainder when 39 is divided by p(-4)?
9
Suppose 0 = -4*o + 2*o. Suppose -2*v + o*p + 18 = -3*p, -3*v + 13 = -p. Suppose -5*a + 26 = -v*a. What is the remainder when a is divided by 5?
3
Suppose 4 = 4*s, -3*z + 0*z - 74 = 4*s. Let n = -16 - z. Calculate the remainder when n is divided by 3.
1
Let g = 2 - -8. Let u(d) = d**2 + 2*d + 3. Let q be -4 - -2 - (-6)/(-2). What is the remainder when u(q) is divided by g?
8
Let g = 349 + -330. What is the remainder when (1 - 2)/(1/(-75)) is divided by g?
18
Let c(p) be the first derivative of -62*p**3/3 + p - 3. Let h be c(1). Let s = -43 - h. Calculate the remainder when 35 is divided by s.
17
Suppose -4*a = -11 - 49. Calculate the remainder when 28 is divided by a.
13
Suppose 0 = -u + 15 + 7. Calculate the remainder when 42 is divided by u.
20
Let l = 5 + 3. Let m = 12 - l. Suppose 4*o - 40 = -2*f + 8, 4*f + 72 = m*o. Calculate the remainder when 27 is divided by o.
13
Suppose -80 + 149 = 3*z. Let s(i) = -i + 1. What is the rema