
5
Let d be 2/13 - (-1192)/26. Let i = 76 - d. Calculate the remainder when 58 is divided by i.
28
Let m(t) = t**2 - 1. Let y be m(-2). Let x = 21 + y. What is the remainder when 45 is divided by x?
21
Let j = 168 + -101. What is the remainder when j is divided by 34?
33
Let q(f) = f**2 + 4*f + 2. Let t be q(-6). Let r = -24 + t. What is the remainder when 0 + 0/2 - r is divided by 6?
4
Suppose 3*m + m = 0. Suppose m*h + 49 = 3*i + 4*h, 2*h - 8 = 0. Calculate the remainder when 31 is divided by i.
9
Let j(x) = -x**3 - 10*x**2 - 8*x + 18. What is the remainder when 15 is divided by j(-9)?
6
Let o = -6 + 9. Suppose -2 = -t + o. Calculate the remainder when t is divided by 2.
1
Let p(b) = -b**3 + 8*b**2 - 6*b + 12. Calculate the remainder when p(7) is divided by 3.
1
Let g = 13 + 67. Let n be -1 - -1 - (1 - g). Suppose 5*z - n = -9. Calculate the remainder when 26 is divided by z.
12
Suppose -5*z + 43 = -57. What is the remainder when 57 is divided by z?
17
Let v(m) = -m**2 + 3*m - 2. Let i be v(2). Suppose 3*y - 58 + 16 = i. Calculate the remainder when 53 is divided by y.
11
Let l = 5 - 3. Let z(h) = h**2 + 8*h - 2. Let j be z(-7). Let u = 13 + j. Calculate the remainder when u is divided by l.
0
Calculate the remainder when (-4*3/(-12))/(5/750) is divided by 51.
48
Let m(x) = 8*x**3 - 3*x**2 + 5. Calculate the remainder when m(2) is divided by 29.
28
Let j = 12 - -4. What is the remainder when j is divided by 5?
1
Let p be 10/(-25) - (-4)/10. Let f(y) = -y**2 + 15. What is the remainder when (16/(-6))/((-4)/42) is divided by f(p)?
13
Calculate the remainder when 69 is divided by (-620)/(-35) - (-4)/14.
15
Let b = 10 - -6. Let d(t) = t**3 - 9*t**2. Let c be d(9). Suppose c = -3*o - 0*m - 5*m - 8, -o - 5*m - b = 0. Calculate the remainder when 11 is divided by o.
3
Let f = -164 - -281. What is the remainder when f is divided by 15?
12
Let f = -6 - -6. Let j(o) = o + 2. What is the remainder when 7 is divided by j(f)?
1
Let j(p) = -p**2 - 1. Let x be j(2). Let n = x + 11. What is the remainder when 6 is divided by n/(-21) - 30/(-7)?
2
Let y be (-1)/4 + 7/(-4). Let j(u) be the second derivative of u**4/6 - u**3/3 - u**2/2 + u. What is the remainder when j(y) is divided by 6?
5
Let y(c) = -c - 4. Let r be y(2). Let t = r - -18. Calculate the remainder when 34 is divided by t.
10
Let z(y) = y**3 - 7*y**2 + y + 2. Let m(b) = 2*b**2 + 6*b - 8. Let t be m(-6). Calculate the remainder when (-8)/t + (-121)/(-7) is divided by z(7).
8
What is the remainder when -2*(10/25)/((-4)/45) is divided by 4?
1
Let u be (-11 - (-1 - 2))/(-2). Let x be -2 - (2 - (-2 - -13)). Let h = x - u. Calculate the remainder when h is divided by 2.
1
Let n(p) = p**3 + 9. Calculate the remainder when 16 is divided by n(0).
7
Suppose -3*q = -8*q - 105. Let a = 30 + q. Calculate the remainder when 17 is divided by a.
8
Let w = -46 + 86. Suppose 0 = 2*r - 0*r - 42. What is the remainder when w is divided by r?
19
Suppose 0 = -4*v + 5*x - 90, -3*x = -3*v - 6*x - 54. Let p(w) = 3*w**2 + 5*w + 1. Let z be p(-4). Let d = v + z. What is the remainder when 26 is divided by d?
8
Suppose 0 = -2*d + 3*v + 6, 2*d + 4*v - 4 = 8*v. Let r = -27 - -38. What is the remainder when r is divided by d?
5
Let r(x) = 7*x**2 + 2*x + 2. What is the remainder when r(-6) is divided by 49?
46
Suppose 640 = -11*u + 15*u. What is the remainder when u is divided by 41?
37
Let p(a) be the first derivative of -6*a**2 - 2*a - 4. What is the remainder when p(-3) is divided by 9?
7
Suppose -2*x + u - 8 = 30, 3*x + u + 47 = 0. Let z(r) = -r**2 + 4*r + 4. Let v be z(5). Let d = v - x. What is the remainder when d is divided by 6?
4
Let r(x) = -x**2 - 7*x + 7. Suppose -3*w - 152 = -7*w. Calculate the remainder when w is divided by r(-6).
12
Suppose 4*b + b - 30 = 0. Suppose 2*d = -2*o + b, 3*d - 3*o + 13 + 2 = 0. Let p = d + 39. Calculate the remainder when p is divided by 13.
12
Suppose -r + 5 = -26. Calculate the remainder when r is divided by 16.
15
Let k(g) = g**3 + g**2 - g - 10. Let f be k(0). Calculate the remainder when 13 is divided by 4/(-20) - 52/f.
3
Suppose 2*u - 157 + 30 = n, -n = u - 68. Let f = 6 + -52. Let g = u + f. What is the remainder when g is divided by 7?
5
Let b = 59 + -37. Calculate the remainder when b is divided by 13.
9
Let p(b) = 3*b - 7. Let k be p(7). Suppose -3*x = 2*i - 23, 4*x + 5*i - 40 + k = 0. What is the remainder when 25 is divided by x?
7
Suppose 2*z + 3 = 7*z - 3*v, z + 17 = 5*v. Calculate the remainder when z is divided by 1.
0
Let c = 54 + -38. Suppose b - 23 - 45 = 5*t, 0 = t + b + 16. Let i = 23 + t. What is the remainder when c is divided by i?
7
Suppose 0 = 5*s - 0*s + 5. Let u(p) = -p. Let i(l) = 5*l - 6. Let z(v) = s*i(v) - 4*u(v). Calculate the remainder when 1 is divided by z(5).
0
Let b = 381 - 201. Let d be ((-8)/(-6))/((-10)/b). Calculate the remainder when (d/(-30))/(1/55) is divided by 15.
14
Let g = 3 + 20. Suppose 11 + g = 2*w. Let n = 34 - w. Calculate the remainder when 49 is divided by n.
15
Suppose -5*b = -3*h - 13, 0*b + 4*h - 11 = b. Suppose 3*w - 2*v - 207 = -b*v, -6 = -2*v. Calculate the remainder when w is divided by 17.
15
Let p be (4 - 6)/(4/(-150)). Calculate the remainder when (-3)/(-6) - p/(-6) is divided by 8.
5
Let c = -3 + 4. Suppose o - 25 = 5*y, y + 2*o - 6 = -0*y. Let i = 5 + y. What is the remainder when i is divided by c?
0
Suppose -22 = n - 71. Calculate the remainder when n is divided by 17.
15
Let y(s) be the second derivative of s**4/12 + 4*s**3/3 - 2*s**2 - 3*s. What is the remainder when y(-9) is divided by 5?
0
Let x(n) = 4*n**2 - 1. Suppose 4*q - 28 = -4*y, -4*y + 4*q = -3*y + 18. What is the remainder when 42 is divided by x(y)?
12
Let b(r) = -r - 1. Let l be b(-3). Suppose 5*d = -0*w - w + 29, 5*w + l*d = 214. What is the remainder when w is divided by 15?
14
Suppose 0 = -f + 4*f - 66. Calculate the remainder when f is divided by 38/3 - (-2)/(-3).
10
Let a(i) = -8*i + 4. Suppose n - 5*b + 23 = 0, -3*n + 3*b + b - 25 = 0. Calculate the remainder when 109 is divided by a(n).
25
Let g be 40 + 3/(12/16). Calculate the remainder when (75/30)/(2/g) is divided by 19.
17
Suppose 5*m = -3*o - 453, -5*o + 3*m = -2*m + 795. Let a = -9 + 18. What is the remainder when (o/(-30))/(2/10) is divided by a?
8
Suppose -2*d = -0*d - 8. Calculate the remainder when d is divided by 8/6 + (-4)/(-6).
0
Let m(q) = q**3 + 7*q**2 - 25. What is the remainder when m(-6) is divided by 10?
1
Suppose 0 = q + 2 - 10. Suppose 3*g = 2*l - q, 0 - 8 = -2*l + 4*g. What is the remainder when 14 is divided by l?
2
Let l = 5 - -2. What is the remainder when 20 is divided by l?
6
Let l(d) = 16*d - 1. Let p be l(6). Suppose 5*z + 4*w - 223 = 0, -5*z - 5*w + 315 = p. What is the remainder when z is divided by 12?
11
Suppose 2*z = -f + 243, -f - f + 123 = z. What is the remainder when z is divided by 32?
25
Let l be (1 - -13) + (9 - 13). Suppose -6 = -q - t, 2*t + t - l = -2*q. What is the remainder when 22 is divided by q?
6
Let i = 33 - 3. Suppose -2*g - p + i = 2*p, 52 = 3*g + p. Calculate the remainder when 21*((-4)/3 + 3) is divided by g.
17
Calculate the remainder when (12/54 - (-518)/18) + 1 is divided by 17.
13
Calculate the remainder when 190 is divided by -2*147/(-12)*2.
43
Suppose -3*w + 0*w + 4*x = -34, w - 5*x - 4 = 0. What is the remainder when 52 is divided by w?
10
Let y = 36 + -26. Suppose 2*a + g - 8 = 0, -4*a = -0*a + 3*g - 20. Suppose 0 = -0*d - d - 3, -23 = -a*v + 5*d. Calculate the remainder when y is divided by v.
2
Let c(d) = d + 9. What is the remainder when (-10)/(-4 + 4 + (-4)/14) is divided by c(0)?
8
Suppose 3*x + 2 = -d, 5*x = -3*d + 3*x + 22. Suppose p = -p + d. Calculate the remainder when 8 is divided by p.
3
Let f = 54 - 47. Calculate the remainder when 11 is divided by f.
4
Suppose -24 = -4*i + 2*h, 0*h - h - 28 = -4*i. Let n(w) = -w**3 + 7*w**2 + 9*w + 5. Calculate the remainder when 36 is divided by n(i).
10
Let t = 54 + 28. Suppose 0*o + t = 4*o - 2*q, -q - 22 = -o. Let a = -84 + 139. Calculate the remainder when a is divided by o.
17
Suppose -v - 40 = -6*v. Suppose 9 = 3*l + 5*w, -12 = -5*l + 2*w + 3. Calculate the remainder when v is divided by l.
2
Let q = -131 - -218. What is the remainder when q is divided by 22?
21
Suppose m -