hen v is divided by 3.
1
Suppose -5*s + 5*w + 150 = 0, -6*s + 9*s + 2*w = 70. Calculate the remainder when 92 is divided by s.
14
Let b = 2 - -6. Let x(l) = 4*l - 8. Let j = -132 - -225. What is the remainder when j is divided by x(b)?
21
Suppose -2*x + 4 = -6. Suppose -j - 3 = x*w - 209, 2*j = 4*w - 162. What is the remainder when w is divided by 22?
19
Suppose 5*v = -5*o + 95, o + 2*v = -0*o + 18. Let j(x) = -x**2 + 3. Let f be j(-4). Let u = o + f. What is the remainder when u is divided by 4?
3
Let t(n) = -n**2 - 72*n - 185. Suppose 3*d - 2 = 7. Suppose 2*a + 3*p - 45 = 0, 3*p - d = -18. Calculate the remainder when t(-68) is divided by a.
27
Let k be 4/(-2) - 1 - 2. Let q(d) = -9*d - 30. What is the remainder when 25 is divided by q(k)?
10
Let i(a) = -a**3 - 3*a**2 + 4*a + 13. Calculate the remainder when 77 is divided by i(-5).
34
Let b = 1436 + -1395. Let y be (-2)/3*3/1. What is the remainder when b is divided by (-11)/y*(-2)/(-1)?
8
Suppose 168 = -5*u + 9*u. What is the remainder when u is divided by 9?
6
Suppose -5*p = -9 - 46. Suppose -2*h - h - 5*a + 64 = 0, 0 = -5*h + 5*a + 80. Calculate the remainder when h is divided by p.
7
Calculate the remainder when 37 is divided by ((-58)/87)/((-4)/126 - 0).
16
Let o(n) = -n + 41. Let b be o(15). Suppose -j + b + 37 = 0. What is the remainder when j is divided by 17?
12
Calculate the remainder when (81/(-108))/((-3)/132) is divided by 7/21 - 17/(-3).
3
Suppose -a = 4*z - 0 - 5, z = -3*a + 15. Let l = 42 + -37. What is the remainder when a is divided by l?
0
Suppose -h - 115 = -144. Suppose 0 = 4*t + 2*a + 18 + 26, -4*t + 5*a - 72 = 0. Let u = t + h. What is the remainder when u is divided by 6?
4
Suppose 0 = -2*x - 21 - 21. Let g = -2 + x. Let v = g + 28. What is the remainder when v is divided by 1?
0
Let m = 6 - 7. Let j = m + 7. Calculate the remainder when (2/j)/((-7)/(-84)) is divided by 2.
0
Let w = 724 - 634. What is the remainder when 178 is divided by w?
88
Let n = -65 + 154. Let y(b) = 4*b - 26. Calculate the remainder when n is divided by y(9).
9
Suppose 2*k = 9 - 3. What is the remainder when 52/91*(-98)/(-4) is divided by k?
2
Let s(t) = t**2 + t - 12. Let c be s(6). Let a = 56 - c. Calculate the remainder when a is divided by 8.
2
Let g = -1469 + 665. What is the remainder when 3/7 + g/(-84) is divided by 3?
1
Suppose 5*j = 4*j. Suppose -2*b - 2*z = -6*b + 52, z = j. Suppose s + n - 8 = 0, s = -s + 3*n + 11. Calculate the remainder when b is divided by s.
6
Suppose 47 = z - 3*i, 18*i - 23*i = -4*z + 174. What is the remainder when 239 is divided by z?
34
Let r = 14 - 12. What is the remainder when 34 is divided by (-3)/2*(-4 - r)?
7
Let v(s) = -s - 11. Let d be v(9). Let i = 32 + d. Calculate the remainder when 1023/21 + i/42 is divided by 10.
9
Let r be 6/9 + (-10)/(-3). Suppose -2 = -3*d - 5*p, 0 = 3*d + 8*p - r*p - 7. What is the remainder when 25 is divided by d?
7
Let u = -31 - -34. Suppose b + 2*b + u*a - 42 = 0, -2*b + 2*a + 24 = 0. Calculate the remainder when 21 is divided by b.
8
Suppose 0 = -2*k - k + b + 236, -300 = -4*k + 5*b. Suppose 0 = -5*f + 10 - k. Let x = -7 - f. What is the remainder when x is divided by 3?
1
Let y(f) = -3*f - 1. Let v be y(-1). Suppose v*c = 4*c - 12. Let t = -133 + 155. Calculate the remainder when t is divided by c.
4
Let y(c) = -3*c**2 - 3 - 8*c + 0 - c**2 + 5*c**2. Let f be y(-10). Let z = f - 79. Calculate the remainder when z is divided by 25.
23
Let i = 263 + -188. Calculate the remainder when 303 is divided by i.
3
Suppose -25*g + 30*g - 90 = 0. Suppose -3*m + 94 = -4*h, m + 3*h - 44 = -2*h. Suppose 0 = -4*t + 3*t + m. What is the remainder when t is divided by g?
16
Let v = 46 + -14. Let q = -4856 - -4918. Calculate the remainder when q is divided by v.
30
What is the remainder when 127 is divided by ((-6)/(-9)*-36)/((-9)/12)?
31
Let z(w) = -w**3 - w**2 + 8*w - 6. Calculate the remainder when 230/4 + (-2)/(-4) is divided by z(-4).
8
Let d = 75 + 374. What is the remainder when d is divided by 11?
9
Suppose 4*d + 19 = 3*q, -q + d + 8 = -2*d. Let z(t) = t**3 + 8*t**2 - 3*t - 12. Calculate the remainder when z(-8) is divided by q.
2
Suppose -u + 3 = -12. Calculate the remainder when ((-24)/2)/(-4)*205/u is divided by 340/16 - 1/4.
20
Suppose -2*p = -1 + 7. Let n be 1*(p + -1*6). Let w = 24 + n. Calculate the remainder when w is divided by 9.
6
Calculate the remainder when (-5 - (-280)/(-10))*-55 is divided by 23.
21
Let u = 235 - -1068. Calculate the remainder when u is divided by 29.
27
Let m(h) = h**3 + 5*h**2 - 2*h - 5. Let n = 19 - 17. Suppose -4*f = 14 + n. What is the remainder when 74 is divided by m(f)?
17
Suppose 5*o - 200 = -0*o. Suppose 4*p + 0*p - o = -b, -3*b = -p + 10. Calculate the remainder when 77 is divided by p.
7
Suppose -8*c + 8623 = 1759. Calculate the remainder when c is divided by 48.
42
Let d(i) = -i**2 - 9*i - 5. Suppose -3*p = -s - 9, -s + 5*p = 4*s + 35. What is the remainder when (-204)/(-9) - 2/(-6) is divided by d(s)?
10
Let v(c) = -14*c + 4 - 7 - 4 - 6. What is the remainder when v(-4) is divided by 11?
10
Suppose j = -0*j - 1. Let z(w) = 5*w**2 + w + 1. Let l be z(j). Suppose 2*r + 144 = l*r. Calculate the remainder when r is divided by 17.
14
Suppose 3*g = -0*g, 0 = 4*w + 2*g - 88. Calculate the remainder when w is divided by ((-9)/(-15))/((-2)/(-30)).
4
Suppose 34*m - 4047 = -23*m. What is the remainder when m is divided by 11?
5
Suppose 185 + 247 = 18*q. What is the remainder when q is divided by 5?
4
Let z(u) = -u**3 - 60*u**2 + 120*u - 131. Calculate the remainder when 458 is divided by z(-62).
107
Calculate the remainder when 30 is divided by (-760)/(-30) + -9 + 1/(-3).
14
Let r be (-130)/39 + (-2)/(-6). Let m(q) = -20*q - 1. Calculate the remainder when m(r) is divided by 30.
29
Let t(f) = 9*f**2 - 4*f + 2. Let m be t(2). Suppose 4*d = -c + 114, -d - c = -m + 3. What is the remainder when d is divided by 8?
5
Let z(l) = l - 264. Let t be z(0). Calculate the remainder when 4 + 4 + t/(-4) is divided by 25.
24
Let q(n) be the third derivative of 5*n**4/6 - 2*n**3/3 + 21*n**2. What is the remainder when q(7) is divided by 35?
31
Let y(s) = s**3 + 25*s**2 - s - 34. Let j be y(-25). Calculate the remainder when 68 is divided by 6*((-12)/j - -1).
12
Let r = 4 + 4. Suppose 6 = r*u - 138. Calculate the remainder when 1 + (1 - -3*23) is divided by u.
17
Suppose 51*w - 264 = 43*w. Calculate the remainder when 117 is divided by w.
18
Let u be ((-10)/40)/((-1)/4). Let q(g) = 44*g**3 + g**2. Calculate the remainder when q(u) is divided by 12.
9
Suppose 553 = 8*d - 551. What is the remainder when d is divided by 37?
27
Suppose -3*i + 12 = -6. Let z be 18/(6 - (-6 + 10)). Suppose 0 = -10*y - z + 99. What is the remainder when y is divided by i?
3
Let d = 552 - 220. Calculate the remainder when d is divided by 48.
44
Suppose -41 = -5*k + 2*l, 2*k - l + 3*l = 22. What is the remainder when (27 - 3)/(-2)*(-66)/k is divided by 30?
28
Let m be 3 + -6 + 0 + 4. Let c = m - -20. Let p = c - 12. Calculate the remainder when p is divided by 3.
0
Let l be -4 + (27*-1)/(-3). Suppose l*o = 326 + 24. Suppose -q + o = q. Calculate the remainder when q is divided by 12.
11
Let g(y) = -4*y - 85. What is the remainder when 53 is divided by g(-26)?
15
Suppose 80 = 2*d + 2*j, -j - 40 - 25 = -2*d. Let p = 54 - d. Calculate the remainder when p is divided by 8.
3
Calculate the remainder when 34 is divided by 20/6*(-189)/(-105) + 1.
6
Suppose 218 = -7*n + 1289. What is the remainder when n is divided by 31?
29
Let g(z) = 5*z + 53. Let c be g(-10). Suppose 4*s + 50 = 2*k + 6*s, -c*k = -3*s - 57. What is the remainder when k is divided by 12?
10
Suppose w + k - 37 = -0*k, -3*k - 209 = -5*w. Suppose 4*b = 9*b - 4*p - 125, 2*b - 2*p = 52. What is the remainder when w is divided by b?
19
Let b = -2 - 0. Calculate the remainder when 73*1 - (4 + -5) is divided by (-46)/b + 12/6.
24
Let p(s) = s**3 + 19*s**2 - 20. Calculate the remainder when p(-17) is divided by 16.
14
Let a(r) = 5*r**2 + 5*r + 35. Calculate the remainder when a(-5) is divided by 23.
20
Let r(m) = 4*m - 14. Let h be r(11). Let p = h - 18. Let f = p + -2. Calculate the remainder when f is divided by 6.
4
Let o(t) = 3*t - 25. Let x = 37 + 8. What is the remainder when x