3
Let x(g) = -7*g - 3. Suppose 5*y + 24 = 2*w + 4, -19 = -3*y - 5*w. What is the remainder when 34/(-1 - 1*y) is divided by x(-3)?
16
Suppose -4*u + 20 = -3*u. Suppose n = -4*m + 24, -5*m - 2*n + 23 = n. What is the remainder when u is divided by m?
6
Let o(y) = 17*y - 82. What is the remainder when 178 is divided by o(6)?
18
Suppose -5*d + 15 = -0*d. Suppose -4*z + 4*i + 24 + 12 = 0, -49 = -5*z + d*i. What is the remainder when 31 is divided by z?
9
Let h(q) = -q**3 + 9*q**2 - 10*q + 2. Let p(c) = -c + 3. Let k be p(-4). Let r be h(k). Suppose -4*l - l + r = 0. What is the remainder when 17 is divided by l?
5
Let o = -79 - -106. Calculate the remainder when 105 is divided by o.
24
Suppose h = 5*q + 16, 0 = 5*h - 5*q + 2*q - 14. Let o = h + 4. What is the remainder when 83/5 + 2/o is divided by 6?
5
Let q = 7 + -7. What is the remainder when 33 is divided by (-54)/(-6) + q/1?
6
Suppose 42 = 3*r - 5*v, -3*v = -3*r - 2*v + 54. Calculate the remainder when 73 is divided by r.
16
What is the remainder when 22 is divided by 48/(-9)*63/(-28)?
10
Let s be ((-17)/2)/((-1)/6). Let k = 14 - s. Let a = -23 - k. Calculate the remainder when 27 is divided by a.
13
Let s(g) = -g**3 - 5*g**2 + 5*g - 1. Let w be s(-6). Suppose -w*b = 3*u - 1, 5*u = u - 2*b + 6. What is the remainder when 13/4 - (3 + 15/(-4)) is divided by u?
0
Let s be (-16)/(-6) + 5/15. Suppose -s*n + 4*c + 105 = 2*n, -n + 5*c = 0. Suppose -3*g + 6*g = 222. What is the remainder when g is divided by n?
24
Suppose -4*k + 13 + 35 = 0. Suppose 0*n + 56 = 4*n. Let o = n - 9. What is the remainder when k is divided by o?
2
Let u(o) = -o + 2. Let j be u(2). Suppose -w - 6 = -b + 22, 3*b + 5*w - 68 = j. What is the remainder when 77 is divided by b?
25
What is the remainder when 42 is divided by (-60)/(-8)*5/(15/2)?
2
Let n(x) = 4*x**2 - 4*x - 5. Suppose 2*c = 4*k + 2, -3*k + 4 + 7 = -4*c. Calculate the remainder when n(k) is divided by 23.
20
Suppose 6*s = 11 + 127. What is the remainder when 67 is divided by s?
21
Suppose 6 - 40 = -x. What is the remainder when 133 is divided by x?
31
Let i(j) = j**2 + 78. Calculate the remainder when i(0) is divided by 40.
38
Let w = 64 + -25. Calculate the remainder when w is divided by 22.
17
Suppose -2*s = 3 - 19. Calculate the remainder when s is divided by 5.
3
Suppose -15 = -f - 3. Let p be -1 - (-6)/9*3. What is the remainder when (25 - p) + (-2)/1 is divided by f?
10
Suppose o + 15 = 4*o. Suppose -o*r + 95 = 15. What is the remainder when 47 is divided by r?
15
Let y(b) = b - 1. What is the remainder when 23 is divided by y(10)?
5
Let l = 2 + -2. Suppose l = 3*o - 40 - 38. What is the remainder when o is divided by 14?
12
Suppose 2*l = -1 + 5, -l = 3*i - 131. What is the remainder when i is divided by 11?
10
Let j be (43 - -2)*(-5)/(-15). Let i = j + -11. What is the remainder when i is divided by 3?
1
Let m = -5 - -10. Let j = m - 3. What is the remainder when 2 is divided by j?
0
Let i(r) = -5*r - 46. Suppose -z - 5 = -0*z. Let n(c) = -c**3 - 3*c**2 + 6*c - 7. What is the remainder when i(-19) is divided by n(z)?
10
Suppose 0 = 7*n - 32 - 101. Let o(u) = 73*u**2 + 2*u - 1. Calculate the remainder when o(1) is divided by n.
17
Suppose -18 = -6*z + 3*z. Let n(l) = l - 1. Let x(d) = d**2 - 3*d + 4. Let s(i) = -6*n(i) + x(i). What is the remainder when s(9) is divided by z?
4
Let v = 14 + -2. Let o = 20 - v. What is the remainder when 31 is divided by o?
7
Let k(f) = 6*f - 28. What is the remainder when 46 is divided by k(9)?
20
Let y(j) = -j + 4. Let g be 60/14 - (-2)/(-7). Let w be y(g). Suppose 4*n = -2*o + 14 - w, -2*o - 28 = -3*n. Calculate the remainder when 16 is divided by n.
4
Suppose -p + 30 = 2*t, -38 = -3*t + t + 3*p. What is the remainder when 62 is divided by t?
14
Suppose -35 = -3*j + c, 26 = 5*j + c - 19. Let f(n) be the first derivative of 20*n**3/3 - n - 1. Calculate the remainder when f(-1) is divided by j.
9
Suppose -2*t + 155 = 3*t. Calculate the remainder when 91 is divided by t.
29
What is the remainder when 65 is divided by ((-3)/(-4))/(-2 + 51/24)?
5
Let l(a) = -a**2 - 14*a - 36. What is the remainder when l(-7) is divided by 7?
6
Let a(p) = p**2 + 3*p + 2. Let m be a(-4). Let u(q) = m*q - 3 + 3. What is the remainder when 17 is divided by u(1)?
5
Let o(a) = -a**3 - 5*a**2 + 5*a - 4. Suppose -k + 3 = -0*k. What is the remainder when k is divided by o(-6)?
1
Suppose -2*o = -44 - 86. Let x = 123 - o. What is the remainder when x is divided by (-1)/(-3) - 132/(-9)?
13
Let b = 30 - 19. Let a(n) = -31*n. What is the remainder when a(-1) is divided by b?
9
Calculate the remainder when (2 - -3)*(1 + 0) is divided by 3.
2
Suppose -6*c = -2*c - 8. What is the remainder when 8/(c + 0) - -27 is divided by 8?
7
Suppose 79 = 4*s - 1. Calculate the remainder when 52 is divided by s.
12
Suppose 5*y - 73 = 37. Calculate the remainder when 57 is divided by y.
13
Let n be (-388)/(-16) + 2/(-8). Suppose 6*x = 2*x - n. What is the remainder when 6*(135/x)/(-5) is divided by 14?
13
Let h be 86/3 - (-2)/(-3). Suppose 0 = s + 3 + 1, -5*s = -4*f + h. Calculate the remainder when f is divided by 1.
0
Suppose -4 = -j, 4*j - 22 = -3*o - 0. What is the remainder when o*6*(-14)/(-8) is divided by 11?
10
Let m(a) = a**3 - 6*a**2 + 2*a. Let o be m(6). Let r = o - 0. Suppose -3*j = -0*j - r. What is the remainder when 11 is divided by j?
3
Let l(h) = 2*h**2 - h - 5. Let s be l(3). Let r(w) = w**3 - 11*w**2 + 10*w + 8. What is the remainder when 29 is divided by r(s)?
5
Calculate the remainder when 748/16 - (-1)/4 is divided by 25.
22
Let q(x) be the second derivative of x + 0 + 2/3*x**3 + 2*x**2. What is the remainder when q(6) is divided by 15?
13
Let w(a) = a**2 + 13*a - 12. Calculate the remainder when 3 is divided by w(-14).
1
What is the remainder when 57 is divided by 158/8 - 12/(-48)?
17
Suppose 0 = 2*z + 4*l - 38, 2*z + 7*l = 4*l + 39. Calculate the remainder when 41 is divided by z.
20
Let d = 25 - 19. What is the remainder when 17 is divided by d?
5
Let i(q) be the first derivative of q**4/4 + q**3/3 - q**2 - 4. Let h be i(-2). Suppose -d + 3*d - 16 = h. Calculate the remainder when 13 is divided by d.
5
Let l = -5 + 5. Suppose l = c - 1 - 1. Suppose -51 = -c*k - k. Calculate the remainder when 65 is divided by k.
14
Calculate the remainder when 73 is divided by (2/(-2))/(3/(-57)).
16
Let x(p) = 3*p + p**2 - 4 + 2*p + 5. Suppose -2*f - 12 = -3*y, 2*f - y + 18 = -f. Calculate the remainder when 25 is divided by x(f).
4
Let o be (-4)/6 - (-140)/30. Suppose -o*s = -s - 72. What is the remainder when 0/1 + (48 - 2) is divided by s?
22
Suppose 0 = -4*d + 146 + 162. Calculate the remainder when d is divided by ((-52)/(-3))/(24/36).
25
Calculate the remainder when -6 + 4 - -2 - -74 is divided by 20.
14
Suppose u = 3*p - u - 41, -3*p + 3*u = -45. Calculate the remainder when 20 is divided by p.
9
Suppose 2*r + 5*a = 67, 3*r = -2*a + 63 + 10. What is the remainder when r is divided by 12?
9
Let a = 48 + -16. Suppose l - 23 = 3*z, 5*l = 4*z - 6*z + 200. Suppose 3*j = -5 + l. What is the remainder when a is divided by j?
10
Suppose -5*f - 85 = -4*l, 0*l = l + 5*f - 40. Calculate the remainder when 99 is divided by l.
24
Let m(w) = 36*w**2 - 2*w + 2. What is the remainder when m(1) is divided by 13?
10
Let v = 25 - 4. Let c = v - 9. Calculate the remainder when c is divided by 7.
5
Let q(p) be the first derivative of -p**2/2 - p + 2. Calculate the remainder when q(-6) is divided by 3.
2
Let c = 36 - 26. Calculate the remainder when c is divided by 4.
2
Calculate the remainder when (-5)/10*8 + 118 is divided by 39.
36
Suppose 8*c - 33*c = -350. What is the remainder when 37 is divided by c?
9
Suppose 0 = j - 3*j + 98. Suppose 3*p = p + 4*k + 4, 5*p - k = 28. Suppose 0*v - 4*d = 2*v - 26, p = -3*d. What is the remainder when j is divided by v?
15
Suppose -3*o = 3*j - 0*o - 6, 4 = 2*o. Let m(n) = 4*n - 10. Let f(w) = -3*w + 11. Let v(q) = 3*f(q) + 2*m(q). What is the remainder when v(j) is divided by 5?
3
Let x = -50 - -52. What is the remainder when 10/4*(-2 + 4) is divided by x?
1
Suppose -2*u + 19 + 55 = 2*i, 3*u + 2*i - 110 = 0. Suppose 0*w - 19 = -w. What is the remainder when u is divided by w?
17
Let s(i) be the first derivative of -9*i**2/2 + 2*i + 1. Wha