d by 5/(-10) + (-76)/(-8)?
7
What is the remainder when 47 is divided by 24/(-20)*(2 - 17)?
11
Suppose 2*b = -2*b. Suppose b*t = -t - 2. Let j = t - -15. What is the remainder when 49 is divided by j?
10
Suppose 4 = 5*a - 66. Calculate the remainder when 153 is divided by a.
13
Suppose 0*a - 8 = -2*a. Suppose a*f = -g - 6, -1 = -4*g + 3*f + 32. Calculate the remainder when 23 is divided by (39/g)/1*2.
10
Let j(d) = -3*d**3 - 2*d**2 - 2*d - 3. Suppose -10 - 23 = -k + 3*x, 0 = 3*x. What is the remainder when k is divided by j(-2)?
16
Let k(b) = -b**2 - 9*b - 8. Calculate the remainder when 35 is divided by k(-6).
5
Suppose -2*u + 18 = -2*s, -2*s + 4 + 8 = 4*u. Suppose 4*t - l - 144 = l, 4*t - 158 = -u*l. What is the remainder when t is divided by 10?
7
Let r = -1 - -4. Suppose 2*w = 4*a + 4, 2*a - 4 - 2 = 0. What is the remainder when w is divided by r?
2
Let t be (-9)/(1/(4/(-6))). Suppose -2*x + t - 2 = z, 2*z = 5*x + 26. What is the remainder when z is divided by 3?
2
Let k = 2 + 44. What is the remainder when k is divided by 13?
7
Suppose 0 = 2*h - 5*y - 37, 5*y - 26 = -h - 0*h. Let d(m) = -62*m**3. What is the remainder when d(-1) is divided by h?
20
Suppose 0 = -z - 2*z + 9. Let w = z - 8. Let c(n) = -2*n - 7. Calculate the remainder when 4 is divided by c(w).
1
Let p = 59 + -29. What is the remainder when p is divided by 11?
8
Suppose 6*l + 12 = 7*l. What is the remainder when 46 is divided by l?
10
Calculate the remainder when 62 is divided by (2 - (-10)/(-8)) + 305/20.
14
Let o be 0/((-2)/4*-4). Calculate the remainder when (-17 - -4)*(-2 - -1) is divided by 5/1 + o + 2.
6
Let b be ((-7)/14)/(2/(-4)). Suppose 2*c = -f - b, -5*c - 5*f = -3*c + 13. Let x = -8 + 11. Calculate the remainder when x is divided by c.
0
Calculate the remainder when (-72)/(-1) - (12 - 9) is divided by 24.
21
Let g = -5 - -5. What is the remainder when (g - 3) + 8 + 6 is divided by 6?
5
Let a(x) = 5*x**2 + 2*x + 1. Suppose -2*t - 3*t + 195 = 0. Let v = t - 26. Calculate the remainder when v is divided by a(-1).
1
Suppose l - 3*a + 10 = 0, 2*a - 6 = -0*l + l. What is the remainder when 12 - ((l - 3) + -2) is divided by 8?
7
Let m(t) = 3*t**2 - 3*t - 7. Calculate the remainder when m(-3) is divided by 15.
14
Let o(s) = -s**3 - 7*s**2 + 9*s. Let h be o(-8). Calculate the remainder when h/(-1*3/12) is divided by 11.
10
Let q(l) = l - 2. Let c be q(6). Suppose 2*n - c*n + 4 = 4*w, 4*n + 5*w - 11 = 0. Let t = -1 + n. Calculate the remainder when t is divided by 2.
1
Suppose 6*x - 87 = 3*x. Suppose 2*b - 32 = -2*b. What is the remainder when x is divided by b?
5
Let f(o) = -2*o - 6. Let p be f(-6). Suppose 2*j - 5*j - p = 0. What is the remainder when ((-28)/j - -1) + -2 is divided by 7?
6
Let z = -50 + 71. Suppose -423 = -5*t - 4*j, -3*j + 251 = 3*t - 2*j. Calculate the remainder when t is divided by z.
20
Let d(v) = -v + 5. What is the remainder when 13 + 2/2 + 0 is divided by d(-3)?
6
Let b be ((-108)/5)/((-8)/100). Suppose 0 = -4*v + v + b. Suppose v = n + 4*n. Calculate the remainder when 52 is divided by n.
16
Calculate the remainder when (11 - 3)*(-9)/(-4) is divided by 10.
8
Suppose -2*s = -8, -5*j + 70 = -2*s - 17. Calculate the remainder when 72 is divided by j.
15
Suppose -l = -0*l - 4. Suppose -2*s = j, -4*j = -j - l*s - 10. Suppose u - j*u = -5. Calculate the remainder when 13 is divided by u.
3
Let v = 20 - 11. Suppose 100 = 4*f - 2*s - 2*s, 2*f + s = 50. What is the remainder when f is divided by v?
7
Suppose 0 = 3*q - 1 + 13. Let v be (q - 0)*3/(-12). Calculate the remainder when (-796)/(-16) - v/(-4) is divided by 13.
11
Suppose 4*j + j = 15. Suppose -4*o + j*o = -8. What is the remainder when (-15)/((-3)/3) + 0 is divided by o?
7
Suppose -c - 42 = -4*c. Suppose -2*i + 16 = -2*m, 4*m = -2*i - 47 - 3. Let b = -3 - m. Calculate the remainder when c is divided by b.
6
Let r be ((-3)/4)/(27/(-72)). Suppose 5*f - r*i - 2*i = 223, 2*i = -2*f + 100. What is the remainder when f is divided by 12?
11
Let b = -18 - -25. Let m(n) = -n**3 + 8*n**2 + 3*n - 9. What is the remainder when m(b) is divided by 16?
13
Let p = 34 + -14. Suppose 2*m = -3*m + 35. What is the remainder when p is divided by m?
6
Let n(l) = 3*l**2. Let u be n(1). Suppose 8*v - 7*v - 44 = 0. Suppose 5*p + 0*d - 26 = u*d, -3*d = 5*p - v. Calculate the remainder when p is divided by 3.
1
Suppose 23 = -5*q + 2*n, 0 = -2*q - 0*n + 2*n - 8. Let f = q - -7. Let s = 10 + -5. What is the remainder when s is divided by f?
1
Suppose 20 = 6*d - 5*d. Calculate the remainder when d is divided by 11.
9
Suppose 5*v - y = 89, -3*y = 2*v - 20 - 19. What is the remainder when 53 is divided by v?
17
Let r(i) = i - 10. Let d be r(15). Suppose d*b - 5*q = 79 + 341, -168 = -2*b + 4*q. Calculate the remainder when b is divided by 29.
26
Let n be (-4)/(-10)*(-2 - -32). Suppose -4*c + 0*u = -4*u - n, 3*c = -u + 21. Calculate the remainder when 11*(-1)/(-1) + -1 is divided by c.
4
Let d = -28 - -43. Suppose 2*t + 5 + 1 = -2*r, 0 = -5*r - 15. What is the remainder when 1/(-1 - t)*-44 is divided by d?
14
Let a = 15 + -8. Let i(b) = b**2 - 11*b - 1. Let l be i(a). Let t = 57 + l. What is the remainder when t is divided by 15?
13
Let t = 17 + 100. What is the remainder when t is divided by 31?
24
Suppose -5*z + 42 = 4*k, 3*z - k - 20 = -6*k. Let u be ((-6)/(-15))/(1/90). Suppose -3*x + x = -u. What is the remainder when x is divided by z?
8
Let n(u) = -u**3 - 12*u**2 - 12*u + 7. Suppose w + 3*v + 10 = 2*v, w = 3*v - 14. What is the remainder when 34 is divided by n(w)?
16
Suppose 3 = -5*k + 23. Suppose 2*q = -2*q. Suppose -k*x + 3*x + 39 = q. Calculate the remainder when x is divided by 20.
19
Let x = -22 - -37. Let w(b) be the first derivative of -43*b**4/4 + b**3/3 + b**2/2 - 1. Calculate the remainder when w(-1) is divided by x.
13
Let d(w) = -w + 1. Let v be d(5). Let q(x) = x**3 - 2 + 2*x + 5*x**2 + 4*x**2 - 4*x**2. What is the remainder when 10 is divided by q(v)?
4
Let g(x) = x**2 - 3*x - 7. Let w be g(5). Let z(i) = 12*i + 3. Calculate the remainder when z(w) is divided by 20.
19
Let h(q) = q**3 - 2*q**2 - 2*q - 2. Let c = -16 - -22. Calculate the remainder when h(4) is divided by c.
4
Suppose 0 = -2*v - 3*v - 20, -4*w = v + 84. Let f = w - -29. What is the remainder when 34 is divided by f?
7
Suppose -2*w + 404 = 4*r, 4*r + r - 505 = 2*w. Suppose s = 5*g - 55, 36 - r = -5*g + 3*s. Let k = -7 + g. What is the remainder when 5 is divided by k?
2
Let p(l) be the first derivative of l**2/2 - 3*l - 5. What is the remainder when 6 is divided by p(7)?
2
Suppose 0 = 5*b - 0*b - 105. Calculate the remainder when b is divided by 12.
9
Suppose -5*w - 639 = -14*w. What is the remainder when w is divided by 38?
33
Suppose 4*s = 5*t - 132, -s + 0*s - 138 = -5*t. Calculate the remainder when 110 is divided by t.
26
Calculate the remainder when 26/13 - (-18 - 0) is divided by 7.
6
Suppose 2*d + w - 41 = 16, -5*w - 79 = -4*d. Let b = 1 + 6. Calculate the remainder when d is divided by b.
5
Let w = 63 - 34. Calculate the remainder when w is divided by 8.
5
Let h(z) = 46*z**2 - 2*z + 1. Let s = 158 + -135. What is the remainder when h(1) is divided by s?
22
Let o(y) = -y**2 - 8*y - 7. Let d be o(-7). Suppose d = -5*b + 19 + 1. What is the remainder when b is divided by 3?
1
What is the remainder when 3934/42 + 4/(-6) is divided by 32?
29
Suppose -15*p - 371 = -22*p. What is the remainder when p is divided by (-105)/6*8/(-10)?
11
Suppose 2*i + 258 = 8*i. Let y(l) = -l**2 - 7*l + 1 + 4 - 4. What is the remainder when i is divided by y(-5)?
10
Let h(r) = r**2 - 9*r - 2. Let m(n) = -2*n**2 + 8*n + 1. Let y(z) = -4*h(z) - 5*m(z). Calculate the remainder when y(2) is divided by 10.
9
Suppose -72 = -4*p - o, -3*o - 4 = -p + 1. Suppose a + 67 = 2*g, 3*g - 4*a + 3*a - 99 = 0. What is the remainder when g is divided by p?
15
Suppose -3*c + 35 = -0*c - 4*k, 3*c - 2*k = 37. Calculate the remainder when c is divided by 3.
1
Let z be -3 + (-1 - (-2 + 3)). Let d = z + 5. Suppose -3*l - 5*a = -26, -l + 4*a + 0*a - 14 = d. Calculate the remainder when 2 is divided by l.
0
Suppose 3*i - 2*i = 17. Calculate the remainder when 32 is divided by i.
15
Let m = -13 + 23. Calculate the remainder when (-2)/(-5)*m*5 is divided by 7.
6
Let u(c) = -3*c + 1. W