Suppose 0 = 2*s - 2 + 20. Let y be 267/9 - 3/s. Suppose 5*w + o = y, -w + 2*o + 2*o = -27. Calculate the remainder when 13 is divided by w.
6
Suppose -2*c - 3*u = -293, 0 = 4*c + u - 530 - 41. Calculate the remainder when c is divided by 50.
42
Suppose 1183 = 36*z - 29*z. What is the remainder when z is divided by 44?
37
Suppose 156 = 6*b - 540. Calculate the remainder when b is divided by 30.
26
Suppose 44*w - 915 = 449. Suppose 0 = -5*v + 9*v - 68. Calculate the remainder when w is divided by v.
14
Let z(r) = r**2 - 7*r + 15. Let v be z(8). Let x = -10 + v. What is the remainder when 37 is divided by x?
11
Let p = 0 - 0. Suppose -3*d + h + 71 = p, 2*h + 2*h = -5*d + 141. What is the remainder when d is divided by 13?
12
Suppose -59 = -4*p + 4*v - 9*v, -34 = -2*p + 2*v. Suppose 4*j + 3*z = 21, -j + 10 = -3*z + 1. Calculate the remainder when p is divided by j.
4
Calculate the remainder when 13 is divided by -12*(-6)/8 - 1.
5
Suppose 497*w - 488*w = 432. Calculate the remainder when 188 is divided by w.
44
Suppose -16*r + 30 = -6*r. What is the remainder when 10 is divided by r?
1
Suppose -2*l + 7*l = -g + 10, -5*g + 24 = -l. Let u = 67 - 64. Suppose u*t = -t + 28. Calculate the remainder when t is divided by g.
2
Let f = 52 + -37. Suppose 3*c - f = -4*j + j, -6 = -3*j. Suppose c*h = h + 82. What is the remainder when h is divided by 22?
19
Let o be (-2)/(-4)*(0 - 0). Let h = o - -9. Calculate the remainder when h is divided by 4*((-33)/(-44) + 0).
0
Let i be 55/5 + (-1)/(-1). What is the remainder when 68 is divided by ((-9)/6)/(i/(-184))?
22
Let a(t) = -t**3 - 16*t**2 + 17*t + 6. Calculate the remainder when 377 is divided by a(-17).
5
Let n = -15 - -23. Suppose 0 = o - 2*d - 9, 3*o - 2*d = 34 - 3. Suppose -5*z - 132 = -o*z. What is the remainder when z is divided by n?
6
Let t(k) = -k**2 - 15*k + 7. Let a be t(-15). Let i(r) = a*r - 7 + 2*r + 10. Calculate the remainder when 59 is divided by i(2).
17
Let u(x) = -4*x - 8. Let m(r) be the second derivative of -4*r**3/3 + 5*r**2/2 + 21*r. What is the remainder when m(-9) is divided by u(-6)?
13
Let c = -476 - -505. Calculate the remainder when c is divided by 24.
5
Suppose 4*l + 4*w = 3*w + 104, 104 = 4*l - 3*w. What is the remainder when l is divided by 10/490*749 + (-4)/14?
11
Let m(f) be the first derivative of f**4/4 + 14*f**3/3 - 3*f**2/2 - 29*f - 25. What is the remainder when 63 is divided by m(-14)?
11
Let q be (46 - 10) + (-3)/1. Suppose -3*a = -5*a - l + q, -4*a + 72 = 4*l. Let j = 37 + -28. Calculate the remainder when a is divided by j.
6
Let n(d) = 2*d**2 + 3*d + 1. Let w be n(-2). Suppose i - 9 = 4*i + 4*k, k = -w. Let s(g) = 23*g**2 - 1. Calculate the remainder when 65 is divided by s(i).
21
Suppose -n - 93 = g - 412, 3*g = 12. What is the remainder when n is divided by 64?
59
What is the remainder when ((-304)/(-6))/(-2)*-3 is divided by 3/(-36) - 1930/(-120)*1?
12
Suppose 0 = 4*m + 8, -3*m = -k - 7*m - 3. Calculate the remainder when 47 is divided by k.
2
Suppose 15*y = 2*y + 650. Suppose 0 = s - 0*s - 11. Suppose -4*g = -2*j - 54, g + 2*j - s = -0*j. What is the remainder when y is divided by g?
11
Let d(k) = -k**3 + 3*k**2 + 7*k + 5. Let p = -18 + 65. What is the remainder when p is divided by d(4)?
13
Let n(a) = -4*a**3 - a**2 - 8*a + 8. Let b be n(6). Calculate the remainder when b/(-14) - 14/98 is divided by 17.
16
Let l(x) = -x**3 + x**2 + x - 3. Let d be l(0). Let i be 3 + -3 + d - -58. Suppose f + 0*f - i = 0. What is the remainder when f is divided by 14?
13
Suppose -3*r - 2*m = -3, r + 1 = -4*m + 2. Let a(u) = u**2 + 2 + r + 0 - 4. What is the remainder when a(3) is divided by 5?
3
Let w be (-4)/(-2)*(45/(-10) - -4). What is the remainder when (-485)/10*(-3 - w) is divided by 20?
17
What is the remainder when -7 + 1 - (-190 + 7) is divided by 60?
57
Suppose -5*z + 11760 = 3*a, 3*z - 7070 = 167*a - 166*a. What is the remainder when z is divided by 31?
30
Let w(v) = -v**3 + 40*v**2 + 46*v - 70. Calculate the remainder when w(41) is divided by 23.
20
Calculate the remainder when (-152)/(-11) - (-18)/99 is divided by 14/((-1 - 1)*-1).
0
Suppose 107*i = -262 + 1225. What is the remainder when 483 is divided by i?
6
Let x(w) = w + 17. Calculate the remainder when 53 is divided by x(3).
13
Let o(j) = j**3 + 22*j**2 + 2*j + 13. Let h be o(-22). Let k = h - -124. What is the remainder when k is divided by 48?
45
Let q(m) = 11*m**2 + m - 16. Calculate the remainder when q(3) is divided by 12.
2
Let l(n) = -21*n - 46. What is the remainder when l(-6) is divided by 73?
7
Suppose -4*y = -7*y - 2*c - 2, -4*c - 16 = 0. Suppose y*d = -2*t + 36, -44 + 10 = -t - 5*d. Calculate the remainder when 40 is divided by t.
12
Let r = -115 - -100. What is the remainder when (r/(180/56))/(2/(-72)) is divided by 17?
15
Let w(l) = -l**2 - 10*l - 4. Let r(q) = -q**3 + 17*q**2 + 19*q + 39. What is the remainder when r(18) is divided by w(-6)?
17
Let o = -15 + 29. What is the remainder when 19 is divided by 3/(-2)*o*(-1)/3?
5
Let n be 10/4*(-48)/(-40). Suppose -4*h + 1 = h + n*j, -2*j = -3*h + 12. What is the remainder when (-2)/h - (-94)/2 is divided by 12?
10
Let r(w) = w**2 - 26*w + 153. Calculate the remainder when 758 is divided by r(6).
32
Let c be ((-9)/(-15))/(3 + 29/(-10)). Calculate the remainder when 48 is divided by (c/4)/(3/204*6).
14
Suppose 22*w - 455 = 535. Calculate the remainder when 176 is divided by w.
41
Let m be (2 + 4)/(-3) + 5. Suppose m*k + s - 5 = 2, 3*k = 4*s + 32. Suppose -c = -2*d - 30, 4*c - k*d - 90 = 46. What is the remainder when c is divided by 10?
8
Suppose -8*n + 6 - 70 = 0. What is the remainder when 50 + 0 + 40/n is divided by 16?
13
Let t(k) = k**3 + k**2 - 34*k + 6. What is the remainder when t(6) is divided by 21?
12
Let g = 564 - 370. What is the remainder when g is divided by 39?
38
What is the remainder when 852*1 + (-1 - (18 + -11)) is divided by 6?
4
Let u(s) = s**3 + s**2 + 2*s - 2. Let q be 6/3 - 0 - 0. Let h be u(q). Suppose 2*g - h = g. What is the remainder when 25 is divided by g?
11
Suppose -q = -3*w + 17, -5*w + 23*q = 28*q - 15. What is the remainder when 119 is divided by w?
4
Calculate the remainder when 40 is divided by (1 - (-3 - -4)) + 4 + 10.
12
Suppose -5*x + 220 - 50 = 0. Let g(r) = 7*r - 58. Let h be g(9). Suppose 5*l = -u + 17, -h*l - 2 = -3*u + 9. Calculate the remainder when x is divided by u.
6
Let f(r) = -4*r**2 - r + 3. Let i(p) = -5*p**2 - p + 4. Let b(l) = 6*f(l) - 5*i(l). What is the remainder when b(-2) is divided by 5*(4/(80/(-12)))/(-1)?
1
Let x(w) = w**3 - 4*w**2 - 7*w - 22. What is the remainder when 24 is divided by x(6)?
0
Let b(x) = 14*x - 182. Let v(h) = 5*h - 60. Let y(l) = -5*b(l) + 16*v(l). What is the remainder when y(8) is divided by 17?
13
Suppose -971*m = -966*m - 45. What is the remainder when m is divided by 2?
1
Suppose 3*s + 3*w = 6, -2*w + 5 = 5*s - 2. What is the remainder when 9 is divided by 2/s*(-45)/(-30)?
0
Let m(a) = a**3 + 8*a**2 + 8*a + 9. Let o be m(-7). Let f(v) = -v**3 + 72 + 0*v + 5*v**o - 69 + 3*v + v. Calculate the remainder when f(5) is divided by 6.
5
Let i(g) = -g**3 + 4*g**2 + 3*g + 6. Let b be i(5). Let d = b + 14. Let t(q) = -q**3 - 9*q**2 - 8*q + 4. Calculate the remainder when d is divided by t(-8).
2
Suppose -34*v + 48*v = 1078. Calculate the remainder when v is divided by 9.
5
Let d(l) = 2*l**2 - l + 64. What is the remainder when d(-9) is divided by 75?
10
Let f(q) = -q**2 - 12*q - 18. Let o = -88 + 80. Let y = -3 + 11. What is the remainder when f(o) is divided by y?
6
Suppose 5*d - 42 = 3*f, 0 = 5*d - 5*f - 6 - 34. Let m = -7 + d. What is the remainder when 32 is divided by 4/(8/18) + m?
10
Let k be 42/10 + 6/(-30). Suppose k = -2*j, 5*a + j - 5 = -4*j. Suppose 0 = a*l - p - 31, 3*p - 14 - 14 = -2*l. What is the remainder when 29 is divided by l?
7
Suppose 6*x - 19*x + 585 = 0. Let a be 34 - (-2 + -1)/(-3). Suppose -a - 15 = -3*l. Calculate the remainder when x is divided by l.
13
Let a(i) = 4*i - 2. Let j(z) be the second derivative of -z**3/2 + 6*z**2 + 7*z. Calculate the remainder when j(-9) is divided by a(3).
9
Let h(a) = -a**3 - 6*a**2 - 8*a - 10. Let j = 40 + -12. What is the remainder when j is divided by h(-5)?
3
Let s = 543 + -476. What is the remainder when s is d