e remainder when s is divided by 109.
102
Let a(y) = 9*y + 1. Let m be a(5). Let q be m/14 + (-22)/77. What is the remainder when 14 is divided by (q/(-2))/((-12)/32)?
2
Suppose -5*x - z = -x - 21, -2*x - 2*z + 12 = 0. Suppose -2*y + 19 = -3*b - 9, 21 = -3*y - 6*b. What is the remainder when y is divided by x?
0
Let s = 1758 + -1110. Suppose s = 21*l - 9*l. Calculate the remainder when l is divided by 38.
16
Suppose -k + 5*a + 332 = 3*k, k + 5*a = 83. Suppose 224*j + 464 = 240*j. What is the remainder when k is divided by j?
25
Let t(f) = 29*f + 140. Suppose -45 = -16*y + 35. Calculate the remainder when t(y) is divided by 10.
5
Let w(z) = z**2 - 29*z + 37*z + 0*z**2 - 22. Let a be w(8). Let d = -95 + a. What is the remainder when 140 is divided by d?
8
Suppose 18*m + 0 - 18 = 0. Let n(k) = 34*k**3 - 9*k + 9. What is the remainder when 103 + -2 + 0/1 is divided by n(m)?
33
Let q(m) = -14*m + 3. Let u be q(0). Calculate the remainder when 196/147 + 131/u is divided by 6.
3
Let t(d) = -1 - 4*d + d + 21 + 2*d. Let m(n) = -n**3 - 5*n**2 - 6*n - 3. What is the remainder when t(9) is divided by m(-4)?
1
Let i(p) = 2*p - 3. Let a be i(4). Let o(y) = 2*y**3 + 56*y**2 + 353*y - 51. What is the remainder when 2256/15 - 2/a is divided by o(-10)?
17
Suppose 10*l + 2157 = 13*l. Calculate the remainder when (l - 20)*(2 - 10/6) is divided by 17.
12
Let i = -2000 - -2077. Calculate the remainder when i is divided by 32.
13
Let r be 62 - (4 + -1 + (8 - 9)). Let d be 3 + 0 - (-10)/10. Suppose 0*b = -d*b + r. What is the remainder when 41 is divided by b?
11
What is the remainder when 1865 is divided by (3/4)/((-202)/(-1616)) - -5?
6
Let r = 775 + -764. Let n(g) = g**3 - 8*g**2 - 4*g - 2. What is the remainder when n(r) is divided by 20?
17
Let c = 565 + -43. Let o = c - 488. What is the remainder when 917 is divided by o?
33
Let o(w) be the second derivative of w**5/20 + w**4/2 - 13*w**3/6 + 11*w**2/2 + 30*w - 3. What is the remainder when o(5) is divided by 6?
5
Suppose 2*o = t + 37, 5*o + 56 = t - 3*t. Let w = 126 + t. What is the remainder when w is divided by 6 + -1 + -9*(-9 - -6)?
29
Let j = -41 + 45. Suppose -5*l + 12 = -3*p, -j*l = p + 4 - 0. Suppose 5*c + 5*n = 25, 0 = -5*c - n - l*n + 25. What is the remainder when 7 is divided by c?
2
Let p = -52 + 89. Suppose -12*d + 33 + 1034 = -25. What is the remainder when d is divided by p?
17
Let t = -47 - -85. Suppose 4*k = 4*j - 4, 2*k + j + 29 = -3*k. Let i(q) = -2*q + 3. What is the remainder when t is divided by i(k)?
12
Calculate the remainder when 305 is divided by 147 - 6/12*-12.
152
Let y(n) = -n**3 + n**2 - 48. Let b be y(0). Suppose 0 = -9*h + 181 + 476. Let t = h + b. Calculate the remainder when 47 is divided by t.
22
Let x(r) = -26*r**3 + r**2 + r - 1. Let y be x(-1). Suppose 12*m = -y + 301. What is the remainder when 47 is divided by m?
1
Suppose 3*a + 2*h - 416 = -3*h, -h = 2*a - 275. Suppose 5*d + a = -5*l + 1057, 9 = 3*l. What is the remainder when d is divided by 31?
26
Let k = -13 + -210. Let x = 311 + k. Calculate the remainder when x is divided by 45.
43
Let d(l) = 30*l**3 + l - 1. Let c be 8 + (0 - 0) + 0. Suppose -f + c = 7*f. Calculate the remainder when 57 is divided by d(f).
27
Suppose 130 = 5*f - 125. Calculate the remainder when f is divided by 3/(-15)*(4 - (33 - -6)).
2
Let x = -3003 + 3195. What is the remainder when x is divided by 101?
91
Let u(c) = -c**2 - 14*c + 24. Let m be u(-16). What is the remainder when (-118)/(-2) - -10*m/20 is divided by 14?
13
Let n = 2 + -28. Suppose -5*c - 4*c + 735 = 12*c. What is the remainder when c is divided by n/(-2) + 0 + 1?
7
Let r be ((-6)/(72/(-147)))/((-3)/(-12)). Suppose 32*u - r*u + 816 = 0. Calculate the remainder when 62 is divided by u.
14
Let n = -178 + 264. Let a = n + 79. What is the remainder when a is divided by 34?
29
Let o(y) = -10*y**2 + 132*y - 206. What is the remainder when 4062 is divided by o(11)?
30
Let m(t) = -t**2 + 103*t + 1521. Calculate the remainder when 351 is divided by m(115).
69
Let u(y) = y**3 + y**2 - 3*y - 3. Let n be u(-3). Calculate the remainder when 172 is divided by (-1 + -87)/(10 + n).
40
Suppose 5*j + 11*c - 50 = 14*c, -5*j + 2*c = -55. What is the remainder when 686 is divided by j?
10
Let f(p) = p**3 - 2*p**2 - 3*p + 4. Let z(q) = q**3 - 16*q**2 + 16*q - 11. Let o be z(15). What is the remainder when f(o) is divided by 12?
0
Suppose -7*o + 52*o = 1935. Suppose o*c = 27*c + 304. What is the remainder when c is divided by ((-2)/(-2))/(3/12)?
3
Let y = -48 - -48. Suppose y = c - 5, -a + 3*c = 3 + 5. Suppose 0 = r + a*r - 312. What is the remainder when r is divided by 10?
9
Suppose 3*u + 6 = 18. Suppose 9 = -u*i + 93. Calculate the remainder when i is divided by (-1*(9 - -2))/(5/(-5)).
10
Suppose 19 = -b + 6*v - v, b = 4*v - 15. Suppose -4 = -4*k - 5*q, -k - 2*q + q + b = 0. Let s = 15 + -11. Calculate the remainder when s is divided by k.
0
Suppose r - 5*r = 5*n, 0 = 5*n. Suppose r = -2*f + f - 12. Calculate the remainder when (-2)/(-1) + (9 - f) is divided by 13.
10
Suppose -2551 = -33*m + 7547. Suppose 0 = 4*o - m + 22. Suppose 4*v = -2*b + 64, -v - 4*v = 4*b - 116. Calculate the remainder when o is divided by b.
23
Suppose -5*i - 52 = -2*q, 0 = q - 3*i + 197 - 226. Suppose -s = -13 - 6. Calculate the remainder when s is divided by q.
8
Let p be -6 - 2 - 77 - -7. Calculate the remainder when (94/(-24) + (-13)/p)*-12 is divided by 39.
6
Suppose 309 - 123 = -2*s. Let z = s - -100. What is the remainder when 4/(-6) - (-80)/3 is divided by z?
5
What is the remainder when 7 - -731 - (36 - 19) is divided by 62?
39
Suppose 84*i = 115*i - 51277 - 369. Calculate the remainder when i is divided by 828.
10
Let v(k) = 2*k**2 - 10*k - 37. Let p be v(-6). Suppose p*d - 3190 = 84*d. What is the remainder when d is divided by 76?
62
Let m be ((-16)/(-12 - -13))/2. Suppose 0 = -z + 2 + 3. Calculate the remainder when (m/z)/4 - 152/(-5) is divided by 19.
11
Let b(c) = c + 24. Calculate the remainder when b(15) is divided by 1/((-3 - (-139)/46)*2).
16
Let v(f) = 2*f**2 - f. Let a(i) = -11*i**2 - 14*i + 13. Let p(r) = -a(r) - 6*v(r). Calculate the remainder when p(13) is divided by 27.
24
Let j(r) = r**2 + 12*r - 19 + 53 + 36. Calculate the remainder when j(-8) is divided by 20.
18
Let u be (-120)/(-10)*94/(-8). Let p = -120 - u. What is the remainder when 77 is divided by p?
14
Let d(h) = -h**2 + 6*h - 1. Let c(t) = -t**3 - 85*t**2 + 163*t - 954. What is the remainder when d(4) is divided by c(-87)?
1
Let z = 327 + -210. Let n = 163 - z. Calculate the remainder when n is divided by ((-8)/1 + 3)*-2.
6
Suppose -18*z - 302 = -860. Suppose -5*v = -m - 70, -4*m = 4*v - z - 25. Calculate the remainder when 32 is divided by v.
4
Suppose -6*m - 65 = -263. Suppose -78 = -9*v - m. Suppose b + 2*t - 55 = -2*b, 4*t = -b + 15. What is the remainder when b is divided by v?
4
Suppose -91 = 3*w - 100. Suppose -4*p = 4*z + 8, -2*z - w = p - 4. Suppose 2*m = -z + 37. What is the remainder when m is divided by 4?
1
Let d be 0/(2/(-1) + -1). What is the remainder when d + 2 - (-23 - -12 - 41) is divided by 21?
12
Let u(f) = -68*f + 34*f + 22*f - 17 + 27*f. Calculate the remainder when u(26) is divided by 54.
49
Let a be (-18 - -38)/((-4)/(-46)). Let u = -207 + a. Calculate the remainder when 62 is divided by u.
16
Let h(x) = -2*x**2 - 80*x + 101. Calculate the remainder when h(-26) is divided by 29.
17
Let j = 419 + -398. Calculate the remainder when (1411/6)/(-17)*-6 is divided by j.
20
Let n(j) = j**3 + 24*j**2 - 28*j - 60. What is the remainder when 1735 is divided by n(-25)?
10
Let m(z) = -99*z + 11. Let o be m(-1). Let k = -77 + o. What is the remainder when 625 is divided by k?
31
Suppose 85 = 3*x + 5*u, 26 = 2*x + 3*u - 32. Suppose -o - 5*n - 51 + 168 = 0, 2*n - 516 = -5*o. Calculate the remainder when o is divided by x.
32
Suppose -5*p + 73*p = 1632. Calculate the remainder when 117 is divided by p.
21
Let t(u) = -15*u + 995. What is the remainder when t(52) is divided by 7?
5
Let s = -264 - -264. Suppose -4*f - 3*p + 1572 = s, -4*f + 5*p + 225 + 1379 = 0. Calculate the remainder when f is divided by 40.
36
Let w(h) = -h**3 + 38*h**2 + 79*h + 98. Calculate the remainder when (1154/5)/(8/20) is divided by w(40).
55
Let b = 