1. Let o(u) = 9*u + 104. Calculate the remainder when 23 is divided by o(z).
3
Let t(o) = 6*o - 1. Let v be -1 - 3 - (0 - 28). Let z = 94 + v. What is the remainder when z is divided by t(3)?
16
Suppose 0 = 4*r + 5*w - 19 - 12, 11 = -r + 5*w. Suppose -15*n = -11*n - 3*d - 16, -r*d = -4*n + 12. Calculate the remainder when n is divided by 5.
2
Let q = -5361 + 6169. Calculate the remainder when q is divided by 28.
24
Suppose 0 = u - 4*f - 8361, -166*f + 165*f = 2*u - 16767. What is the remainder when u is divided by 13?
9
Calculate the remainder when 4404/(-15)*1184/444*15/(-4) is divided by 10.
6
Let g(m) = -4*m - 13. Let c be g(-4). Suppose -c*r - 2*v - 16 = -94, 104 = 4*r - v. What is the remainder when 51 is divided by r?
25
Let v = -2541 - -2594. What is the remainder when 312 is divided by v?
47
Let o(n) = 10*n + 109. Let l be o(-9). Suppose l*a + 200 = 694. Calculate the remainder when 3/(-9) - 446/(-6) is divided by a.
22
Let z(j) = -5*j + 41. Let l be z(7). Suppose -15 = 3*g, -l*d + 56 = -3*d - g. What is the remainder when d is divided by 2?
1
Suppose 0 = r + 2*x - 1, 0 = -2*r + x + 10 - 3. Let m = r + 2. Let o = 13 + m. Calculate the remainder when 51 is divided by o.
15
Let o = -11122 + 11236. What is the remainder when 1013 is divided by o?
101
Suppose c - 3 = -2*s, -4*c - 22 = 3*s - 44. Let v = -3 + 0. Calculate the remainder when c is divided by (v + 0)*(-5)/3.
2
Let w(z) = 23*z**2 + 104*z + 40. Suppose 3*x = 2*i - 57, -24 = -5*i - x + 110. What is the remainder when w(-5) is divided by i?
14
What is the remainder when -5*36*4/(-10) is divided by ((-40)/70 - (-6 - -2))/(438/2044)?
8
Let u = 346 + -343. Suppose -n + 3*d + 11 = 0, -2*d + 34 - u = n. Calculate the remainder when 389 is divided by n.
21
Suppose 7 = -5*a + 67. Let q = -293 + 552. Suppose -4*s + 161 + q = 0. Calculate the remainder when s is divided by a.
9
What is the remainder when 638 is divided by 483/(-6)*(-9 - 472/(-56))?
40
Suppose 8*l - 84 = l. What is the remainder when -86*(l/3)/(-4) is divided by 29?
28
Suppose t - 4*d + 10 = 0, 4*t - 2*d + 0*d - 16 = 0. Suppose -t*n = -n - 20. Calculate the remainder when 165 + n + -3 + 1 is divided by 43.
38
Let k = -248 + -218. Let w = 496 + k. Calculate the remainder when 45 is divided by w.
15
Suppose -5*l + 3*p + 107 = 0, 3*l - 41 - 21 = 4*p. Let x be 6 + 18/24*-4. Suppose -68 - l = -x*y. What is the remainder when 119 is divided by y?
29
Let z(p) = 64*p**2. Let i = 6 - 5. What is the remainder when z(i) is divided by (-3)/2 + 621/18?
31
Let y = 3 - 1. Suppose 55 = -f + y*f. What is the remainder when f is divided by 1 - -3 - ((-79 - -65) + 9 + -1)?
5
Suppose 23*d - 2583 = -18*d. What is the remainder when 91 is divided by d?
28
Let o(v) = -1 - 11 - 5 + v. Let i be o(21). Suppose d - 1 - 6 = -k, i = 2*k - 3*d. What is the remainder when 13 is divided by k?
3
Suppose -25 - 63 = -s. Suppose -2*k + 72 = k. Calculate the remainder when s is divided by k.
16
Let d(o) = -62*o + 86. Let g be d(-9). Suppose -25*t + 48*t - g = 0. What is the remainder when t is divided by 9?
1
Suppose 85*x - 70*x = 41*x - 85774. Calculate the remainder when x is divided by 28.
23
Let w = -8403 + 8464. What is the remainder when 4635 is divided by w?
60
Let z(x) = x**2 - 41*x - 669. Calculate the remainder when 46 is divided by z(54).
13
Let t = 66 - 63. Let z(y) = 6*y**2 - 3*y - 4. What is the remainder when 284 is divided by z(t)?
38
Suppose -666 = -3*t + t + 2*z, 1332 = 4*t + 3*z. What is the remainder when t is divided by 7?
4
Let q be -3 + (-11)/((-42)/36 - -1). Suppose -19*h + 51 = -q. What is the remainder when 7 is divided by h?
1
Let t(n) = -2*n**2 + 20*n + 19. Let f be t(9). Suppose -f = -7*c + 131. Calculate the remainder when c is divided by 8.
0
Let p(i) = i**2 - 3*i - 33. Let v be p(-5). Calculate the remainder when 48 is divided by 2000/350 - (-2)/v.
0
Suppose -5*f + 2305 = -5*w, -4*f + f + 1389 = -w. Suppose -25*q + f = -9*q. What is the remainder when 50 is divided by q?
21
Suppose 0 = 85*o + 404*o - 10758. What is the remainder when 1882 is divided by o?
12
Suppose -h = -8*h + 5306. What is the remainder when h is divided by ((-4)/(-6))/((-11)/66 - (-7)/38)?
36
Suppose 566*w - 561*w = 4*p + 2644, 4*p - 2676 = -5*w. Calculate the remainder when w is divided by 106.
2
Suppose 17*x = 10*x + 84. Suppose 3*b - 211 = -4*d, b + 3*b + x = 0. Suppose j + d = 6*j. What is the remainder when 25 is divided by j?
3
Suppose 0 = 3*n + 3*l - 21, -l = 2*n + 6 - 21. Let w be (-413)/9 - n/72. Let d = w - -79. Calculate the remainder when 195 is divided by d.
30
Let w(a) = 320*a - 64. Let c(z) = -107*z + 22. Let n(j) = -17*c(j) - 6*w(j). Calculate the remainder when n(-1) is divided by 56.
55
Let b = -412 + 424. What is the remainder when 105 - -1*1*1 is divided by 12/8*b/9 + 34?
34
Let b(u) = 12*u - 2. Let s = 433 - 253. Let j = 188 - s. What is the remainder when b(2) is divided by j?
6
Suppose 0*p + 4*w = -2*p + 56, -5*p + 120 = 5*w. Let j = -132627 + 132647. Calculate the remainder when j is divided by p.
0
Let q = -13167 + 13202. Calculate the remainder when q is divided by 11.
2
Let j = 65 - 63. What is the remainder when 448 is divided by 2 - ((-1)/j)/(2/64)?
16
Let w = 16388 - 15251. What is the remainder when w is divided by 126?
3
Let d(g) = -g**3 + 10*g**2 + 16*g + 3. Suppose 0 = -6*x - 6*x + 132. What is the remainder when d(x) is divided by 21?
16
Let g = 46 - 42. Let c be 3/(-6)*-2 + g. Suppose -3*n = -16 - c. What is the remainder when n is divided by 4?
3
Let s(z) be the first derivative of z**2 + 12*z + 3. Let r be s(-5). Calculate the remainder when ((-80)/(4 + -8))/r is divided by 7.
3
Let z(a) = -5*a + 29. Suppose 8*u = 31 + 433. Calculate the remainder when u is divided by z(5).
2
Let t = -11421 - -11468. Calculate the remainder when 1564 is divided by t.
13
Let y(z) = -679*z - 5758. Calculate the remainder when y(-12) is divided by 2384.
6
Let a be 3/2*120/90. Suppose -a*n = 4*y - 84, -2*y - 4*n = -7 - 47. Calculate the remainder when 207 is divided by y.
17
Suppose 3*q - 11 = 5*i, 0 = 3*q + 3*i - 0*i - 3. Suppose 3*w - 5 = q*w. Calculate the remainder when 12 is divided by w.
2
Suppose 3*t = 3*d - 10560, -d = -8*t + 335 - 3834. Calculate the remainder when d is divided by 86.
83
Suppose -1275*p + 36 = -1281*p. Let d(r) = 6*r**2 + 32*r + 26. What is the remainder when 60 is divided by d(p)?
10
Let n = -67 + 107. Let a(g) = -2*g**2 + 105*g + 1954. Calculate the remainder when n is divided by a(67).
7
Let s = -23 + -68. Let z = s - -233. What is the remainder when z is divided by 16?
14
Let c be 44/7 - (-6)/(-21). Suppose o - c - 2 = 0. Let b(w) = -2*w**3 + 6*w**2 + 5*w - 12. Calculate the remainder when o is divided by b(3).
2
Let v = -102 - 19. Let c = -73 - v. Suppose 3*l - 2*f - 68 - c = 0, -126 = -3*l - 3*f. Calculate the remainder when l is divided by 21.
19
Let z be 9 - 0 - (-36 + 41). Suppose -h - z*n + 65 + 80 = 0, -3*h - 4*n = -451. What is the remainder when h is divided by (1*-2)/2 + 32?
29
Suppose -42329*x + 4264 = -42277*x. Suppose 4*t - 805 = -t. What is the remainder when t is divided by x?
79
Let p = 612 + -296. Suppose 0 = -2*k + 3765 - 3659. What is the remainder when p is divided by k?
51
Let h(s) = -s**2 - 19*s + 145. What is the remainder when 1159 is divided by h(0)?
144
Let b be (1 + 2)/((-2)/4) + 5. What is the remainder when 130 is divided by 387/27 + (-2)/3*b?
10
Suppose d + 27 - 31 = -4*x, 0 = 3*d - 3*x + 48. Calculate the remainder when -1 + -60*(-3)/(d/(-34)) is divided by 64.
61
Let s(a) = 12*a**2 + 115*a - 42. Let z = -3 + -2. Let i = 44 - z. Calculate the remainder when s(-11) is divided by i.
47
Let b be (-1)/(-2)*((4 - 4) + -16). Let v(f) = 3*f**2 + 23*f + 10. What is the remainder when 142 is divided by v(b)?
16
Suppose 2*x - x = 3. Suppose 809 = -x*t + 2993. What is the remainder when 13 is divided by t/119 + 4/(-34)?
1
Let w(b) = -b**3 - 2*b**2 + 6. Suppose 4*s = -13 - 7. What is the remainder when w(s) is divided by 3624/88 - (-4)/(-22)?
40
Let n(y) = 14*y - 157. Suppose 0 = 2*b - 16*t + 19*t - 137, 2*b + t - 143 = 0. Calculate the remainder when b is divided by n(13).
23
Let s(h) = 11*h**2 + 3*h. Let q(i) = i + 4*i - 5*i + i - 2. What is the remainder when s(-2) is divided by q(13)?
5