 the remainder when (r + (-3)/2)*-50 is divided by 7?
4
Let f(p) = -p**2 - 2*p + 27. Let m be 2/(-9) + 152/36. Suppose 0 = -m*y + 2*y. What is the remainder when f(y) is divided by 6?
3
Let l be 3/5 - 207/(-5). Suppose -4*f + 82 = m - l, -m + 4 = 0. Suppose -p = -f - 5. What is the remainder when p is divided by 12?
11
Let v(q) = -q**3 + 4*q**2 + 21*q - 2. Calculate the remainder when 97 is divided by v(-4).
13
Suppose -5*z = -h + 5 + 20, z - 73 = -5*h. What is the remainder when (-376)/(-7) - (-26)/91 is divided by h?
9
Let t = 2059 - 1946. What is the remainder when 336 is divided by t?
110
Suppose 2*n - 8 = -3*l - 0*l, 3 = 3*l - 3*n. Let q be (-1)/((-1)/19) + l. Let a = q + 2. Calculate the remainder when a is divided by 13.
10
Suppose -9*l + 6*l + 9 = 0. Suppose l*v - 2*w - 43 = 10, 4*v - 72 = 3*w. Calculate the remainder when 59 is divided by v.
14
Let r be 1*20/(-6) + (-1)/(-3). Calculate the remainder when 71 is divided by 22 - (14/(-8) + r/12).
23
Let t = 99 + -93. Suppose 87 = t*f - 63. Calculate the remainder when f is divided by 16.
9
Let y = 271 - 83. Suppose 0 = 9*m - 5*m - y. Calculate the remainder when 140 is divided by m.
46
Suppose -2*l + 60 = 3*n, 0 = -l - 2*l + 3*n + 90. Let a = 77 + -18. Calculate the remainder when a is divided by l.
29
Suppose 4*b = 2*b + 8. Let y = 223 - 221. What is the remainder when b is divided by y?
0
Let q(y) = 44*y + 398. Calculate the remainder when q(-6) is divided by (2 + -6)/2 + 36.
32
Suppose 2*y = 5*j + 25, 2*y - 2*j = 6*y + 10. Suppose 3*o - 124 = -n - y*n, 4*n - 2*o = 440. Calculate the remainder when n is divided by 29.
25
Let i(o) = o**2 + 13*o - 15. Let w = 3 + -20. Calculate the remainder when i(w) is divided by 19.
15
Let q(b) = 2*b**3 + 16*b**2 + 2. Let r be q(-8). Suppose -r*z = z + 2*l - 235, l = z - 80. What is the remainder when z is divided by 9?
7
Suppose -3*v = -9, n - 28 = -4*v + 8. What is the remainder when 60 is divided by n?
12
Let y be 9/(((-45)/6)/(-5)). Suppose -s + y*s = 60. What is the remainder when 31 is divided by 4/s - 47/(-3)?
15
Let t = -245 - -252. Calculate the remainder when 110 is divided by t.
5
Let k(b) = 2*b**2 - 10*b - 2. Let p(n) = n**2 - 5*n - 1. Let z(g) = -6*k(g) + 15*p(g). Calculate the remainder when 148 is divided by z(6).
13
Let h = 509 - 343. Suppose -3*o - 4*u = -h, 5*o = -4*u + 2*u + 258. Let n(l) = -3*l + 2. What is the remainder when o is divided by n(-5)?
16
Let o = 514 + -502. What is the remainder when 27 is divided by o?
3
Let m(a) = -50*a - 31. Let z be m(-10). Suppose 0 = -4*x + 11*x - z. Calculate the remainder when x is divided by 10.
7
Let z(x) = x**3 - 3*x**2 - 7*x. Let g = 81 + -82. Calculate the remainder when 5*(210/(-25))/g is divided by z(5).
12
Let q(v) = v**3 + 12*v**2 - 14. Let h be q(-12). Calculate the remainder when 7/(h/8) + 8 is divided by 3.
1
Let p(w) = w - 1. Let n be p(7). Suppose 33 = n*m - 3*m. Calculate the remainder when 26 is divided by m.
4
Let x = 213 - 59. Suppose 2*o = -9*o + x. What is the remainder when o is divided by 11?
3
Suppose 3*r = -q + 22, 2*q - q - 4*r - 22 = 0. What is the remainder when 83 is divided by q?
17
Suppose -2*v + f + 13 = 0, 0 = 5*v - f + 5 - 36. Suppose -4*l = -b - 13, 2*b - 15 = -3*l + 14. Calculate the remainder when b*(1 + 4 - 1) is divided by v.
4
Suppose 0 = 3*n + 3*v - 5*v - 496, 0 = 3*n + 2*v - 500. What is the remainder when n is divided by 102?
64
Let q be 4/(-22) + 5 + (-100)/55. Suppose 0 = -5*v - w + 96, 20 = 2*v + q*w + 2*w. Calculate the remainder when 38 is divided by v.
18
What is the remainder when 6/2*(4 + 19) is divided by (1 + 1 - 7)*-7?
34
Let h(a) = a**2 + 4*a - 5. Let q be h(-4). Let t = 8 + q. Suppose t*b + 15 - 183 = 0. Calculate the remainder when b is divided by 15.
11
Let w = -2194 + 2327. Calculate the remainder when w is divided by 18.
7
Let n(d) = 3*d**2 + 9*d + 4. Suppose -o - 3*z = -3 + 12, -5*o + 3*z - 9 = 0. Let y = -3 + o. What is the remainder when n(y) is divided by 15?
13
Suppose 0 = 5*l - 5, -2*q = -3*q + 3*l + 53. Let i(j) = -17*j - 14. What is the remainder when q is divided by i(-2)?
16
Let i(h) = 2*h**3 + 2*h**2 + 4*h + 2. Calculate the remainder when 167 is divided by i(2).
31
Let d(c) = 5*c + 23. Let w = 118 + -122. Calculate the remainder when d(w) is divided by 1.
0
Let n(q) = 3*q**2 + 119*q - 617. Calculate the remainder when 528 is divided by n(5).
51
Let x = -1068 + 1078. What is the remainder when (1*-2)/(4/(-30)) is divided by x?
5
Let p be 3 - ((-1)/3)/(1/3). Suppose w - 228 = -p*c, -c - w = -4*c + 171. Calculate the remainder when c is divided by 15.
12
Suppose 0 = -0*v - v + 4*a - 22, -5*v + 4*a - 30 = 0. Let b be (1/v)/(1/(-56)). Let x = -27 + b. Calculate the remainder when 4 is divided by x.
0
Let i(c) = 2*c**3 + c**2 + 2*c + 606. What is the remainder when i(0) is divided by 32?
30
Suppose -13*z = -261 - 51. Calculate the remainder when z is divided by 8.
0
Let c(n) = -n**3 + 7*n**2 - 9*n + 8. Let m be c(6). Let f(w) = w + 11. Let v be f(m). What is the remainder when v/(-2) + 1232/32 is divided by 8?
6
Let n(l) = -61*l - 1. Let y be n(-2). Suppose -6*h - 3*o + 171 = -2*h, 4*h = 5*o + 195. What is the remainder when h is divided by 3/(-15) + y/5?
21
Let h = 7 - 7. Suppose h = 3*s - 8*s - 15. Let z = s - -8. What is the remainder when 7 is divided by z?
2
Let p = -3 - 15. Let y be (-274)/p + (-10)/45. Suppose -2*n + 17 = -y. What is the remainder when 62 is divided by n?
14
Suppose -15 = 4*h + h. Calculate the remainder when 3/(72/645) - h/24 is divided by 1 + (-2)/(-2) - -13.
12
Suppose -28*z + 15 = -25*z, -4*q + 2*z = -142. What is the remainder when 189 is divided by q?
37
What is the remainder when ((-372)/48)/((-2)/8 - 0) is divided by 16?
15
Let z = 109 - 65. What is the remainder when 307 is divided by z?
43
Suppose -v + 3*w = 15, 9*v - 4*w + 86 = 4*v. Let f = 5 - v. Calculate the remainder when f is divided by (2 + -1)*240/30.
7
Let j(p) = 10*p + 17. Let a(k) = 2*k**2 + 13*k + 28. Calculate the remainder when j(7) is divided by a(-6).
21
Suppose -5*j + 276 = 3*o - 34, -3*o = 2*j - 115. Suppose 6*b + j = 11*b. What is the remainder when 116 is divided by b?
12
Suppose 5*g - 280 = 2*u, 23 = g - 3*u - 46. Let w = -46 + g. Calculate the remainder when 27 is divided by w.
3
Let c(d) = 2*d**3 - 33*d**2 + 26*d + 17. What is the remainder when c(16) is divided by 6?
3
Let l = -7 + 11. Suppose q = 1 + 2, 36 = 4*d + l*q. Calculate the remainder when 345/6 - d/4 is divided by 19.
18
Suppose -7*i = -5*i + 3*i. Suppose 6*r - 212 - 352 = i. Suppose 57 = -0*z + 3*z. Calculate the remainder when r is divided by z.
18
Suppose -4*y - k = -330, 0 = -y - k + 3*k + 87. Let o(r) = 0 + 10*r**3 - 11*r**3 - 5 + 1 - 4*r**2. Calculate the remainder when y is divided by o(-5).
20
Suppose -53*l = -48*l - 40. Let i = -3 + 7. Suppose -5*n + l = -i*n. Calculate the remainder when n is divided by 5.
3
Let g = -254 - -348. Calculate the remainder when g is divided by 87.
7
Let o be (-2 + (11 - 4))*-1. Let i(f) = 5*f**2 + 12*f - 2. Calculate the remainder when i(o) is divided by 22.
19
Let s(y) = -y**2 + 10*y + 43. Let k(i) = -i + 75. Calculate the remainder when k(0) is divided by s(12).
18
Suppose -2*r + 31 = -17. Let f(t) = 46*t + 1. Calculate the remainder when f(2) is divided by r.
21
Let x(b) = 5*b - 5 + 0 - 3*b. Let g be 10*((-12)/(-20) - 0). Calculate the remainder when 23 is divided by x(g).
2
Let m(x) = x**2 + 4*x + 1. Let w be m(-5). Calculate the remainder when 50 is divided by 160/w - ((-4)/3)/4.
23
Let y = 1530 - 769. What is the remainder when y is divided by 7?
5
Suppose 32*t - 50*t = -1062. Let r(s) = s**2 - 7*s + 13. Let c be r(9). Let k = 43 - c. Calculate the remainder when t is divided by k.
11
Let u = 20 + -16. Suppose -1459 - 1321 = u*f. Calculate the remainder when (-12)/(-96) + f/(-8) is divided by 22.
21
Suppose o = 3*n - 8 - 5, -3*n + 17 = o. Suppose 0 = 5*g + n*b + 15, -5*b = 2*g - 0*b. Let h = g - -12. What is the remainder when 12 is divided by h?
5
Let p be (3 + (-12)/9)*(-6)/(-5). Suppose i - 130 = -p*l, -4*l - i + 276 = -3*i. What is the remainder when l is divided by 7?
4
Suppose -5*t = 7 - 87. Suppose -4*o - t = 0, 0*z + 68 = 4*z - 4*o. Suppose -v - 5*b = -24, -4*v + 16 = v - b. Calculate the remainder when z