 7564 = 4*h - 84*l. Calculate the remainder when h is divided by 273.
253
Calculate the remainder when 44/3*(-6)/(-4) is divided by (-11 - 1344/(-45)) + 3/(45/2).
3
Let a(q) = -56*q + 15*q + 13*q. Let s be a(-1). Calculate the remainder when 16 is divided by (s/(-6) - -6)/((-2)/(-12)).
0
Suppose 5*z + 4*p = 23, 4*z + 10*p - 25 = 9*p. Let r(s) = 13*s - 67. What is the remainder when r(z) is divided by 18?
6
What is the remainder when 2810 is divided by 2 - -30 - (-81 + 92)?
17
Suppose 453*b + 3066 = 467*b. Let m(q) = -27*q - 9. What is the remainder when b is divided by m(-2)?
39
Let l(f) = 21*f**2 - 13*f + 48. Let x be l(4). Let t = 338 - x. Calculate the remainder when 95 is divided by t.
5
Let y be (1 - -1)*(-1 - (-1 + 1)). Let g be y/8 - (-2)/24*3. Suppose g = 3*a - 5*a + 344. Calculate the remainder when a is divided by 35.
32
Suppose 5*k = -2*k + 98. Suppose -10 = -8*p + k. Suppose -38 + 123 = 5*m. Calculate the remainder when m is divided by p.
2
Let k = -8831 + 10363. What is the remainder when k is divided by 7?
6
Let c(i) = i**2 + i. Let f(b) = b**2 + 8*b + 14. Suppose 2*a + 19 - 1 = -4*d, -2*d - 2*a = 6. What is the remainder when c(-3) is divided by f(d)?
0
Suppose 0 = 2*f - 2*m - 44, -4*m + 94 = 4*f + 14. Calculate the remainder when 384 is divided by (f/4)/((135/(-100))/(-9)).
34
Let h(p) = p**3 - 6*p**2 - 5*p + 2. Let c be h(8). Suppose 16*m - 10*m - c = 0. What is the remainder when 47 is divided by 0 + m/(-5) + 30 + 0?
20
Let n(m) = 42*m**2 + 11*m + 12. Let r be n(-3). Suppose a - f + 0*f - 72 = 0, -4*f - r = -5*a. Calculate the remainder when a is divided by 14.
13
Let g(t) = 1998*t + 4156. What is the remainder when 1602 is divided by g(-2)?
2
Suppose -2*z = 3*b - 35, 3*b + b + 5*z = 35. What is the remainder when 130 is divided by b?
10
Let y = -4983 - -5007. What is the remainder when y is divided by 18?
6
Let i be (-13)/91 + (-30)/(-14). Suppose -4*h + g + 83 = -66, -4*g - 78 = -i*h. What is the remainder when 84 is divided by h?
10
Let x(j) = j**3 - 5*j**2 - 41*j + 23. What is the remainder when 380 is divided by x(0)?
12
Suppose -28*j + 19 = -101 - 48. What is the remainder when 296 is divided by j?
2
Suppose 46*b - 9976 = -12*b. Let n = 191 - b. What is the remainder when 298 is divided by n?
13
Let t(n) = 518*n - 1435. What is the remainder when 17373 is divided by t(3)?
118
Suppose x = o + 94, 20*x = 15*x - 2*o + 442. Let c(b) = -10*b - 27. What is the remainder when x is divided by c(-5)?
21
Let c = -4526 - -5911. Calculate the remainder when 2794 is divided by c.
24
Let p(q) = 2*q**3 - 13*q**2 - 3*q + 1. Suppose k - 11 + 4 = 0. Calculate the remainder when (3/(15/(-425)))/(-1) is divided by p(k).
27
Let p = 41 + -28. Suppose 2*k - p = 17. Suppose d + 3*j = 2 + 16, -d - 2*j + k = 0. What is the remainder when d is divided by 4?
1
Let m = 125 - 3. Let a = -1958 + 1857. Let i = a + m. Calculate the remainder when 124 is divided by i.
19
Let o = 23164 + -16670. Calculate the remainder when o is divided by 14.
12
Suppose -3 = -5*l + 4*i, 2*l + 0*i - i - 3 = 0. Suppose -65 = -2*p + l*u, -2*u = -2*p - p + 90. Calculate the remainder when 134 is divided by p.
22
Suppose v - 17 = -5*z + 40, -5*z - 3*v + 61 = 0. Suppose 18*p - 19*p + 236 = 0. Let u = -196 + p. Calculate the remainder when u is divided by z.
7
Let c = -778 + 1145. Calculate the remainder when c is divided by 125.
117
Let o = -579 + 570. What is the remainder when 296 is divided by 20 + o/((-54)/30)?
21
Let u = 1000 + -994. What is the remainder when -6*(-241)/u - 3 is divided by 30?
28
What is the remainder when 13/7 + -2 - 5*(-535)/7 is divided by 134?
114
Suppose -13629 = -4*g + 12*g - 85*g. What is the remainder when g is divided by 53?
18
Let c be (-4)/(-8)*(-6 + 2)/2. What is the remainder when (-4 + -2 + 3)*(c - 22) is divided by 18?
15
Suppose 115*x - 113*x - f - 40 = 0, 0 = 2*x + 3*f - 56. What is the remainder when 108 is divided by x?
20
Let p = -101 - -121. Suppose 3*z - 195 = -2*z + 3*i, -2*z - 3*i = -57. What is the remainder when z is divided by p?
16
Let l(r) = r**2 - 4*r + 7. Let b(q) = -2*q**2 + 5*q - 5. Let z(w) = -3*b(w) - 4*l(w). Calculate the remainder when 56 is divided by z(-4).
11
Let y be ((-156)/(-14))/(47/329). Suppose 0 = 11*h - 5*h - y. What is the remainder when 49 is divided by h?
10
Let j be (3/4)/(-3) + 35/(-20). Let o(f) = -4*f + 15. Let x be o(-5). Calculate the remainder when 48/j*x/(-20) is divided by 23.
19
Suppose -3*p + o + 2 = 0, 3*p + 8 = -p + 4*o. Suppose -4*a = n - 45, 167 = p*n + n + 4*a. What is the remainder when n is divided by (-4)/(-2) + 1 + 4?
5
Suppose -440 = -15*n + 7*n. Let j(b) = -b**2 + 14*b - 29. Let r be j(15). Let v = -30 - r. What is the remainder when n is divided by v?
13
Let s be 12/(-96) + 8610/16. Let c = -491 + s. Calculate the remainder when c is divided by 13.
8
Suppose 4*v + 297 = -7*v. Let y = -29 - v. Calculate the remainder when 59 is divided by (-55)/(-3) + -2 - y/3.
8
Let d = -686 - -1169. Suppose -22*w = -w - d. What is the remainder when w is divided by 21?
2
Suppose 5*z + 2 = 8*z - 2*d, -17 = 2*z - 5*d. Let p be (-10)/z*(-6 + 4). Calculate the remainder when 76 is divided by 4/2*65/p.
24
Let q = 14334 - 12270. Calculate the remainder when q is divided by 71.
5
Suppose 3*f - l - 9 = -4*l, -2*l + 1 = f. Suppose -f*p + 0*p + 195 = 0. What is the remainder when 72 is divided by p?
33
Let h(x) = -11*x**3 + 3*x**2 + 3*x + 1175. Calculate the remainder when h(0) is divided by 299.
278
Suppose 2*x - 5*q = 61, q + 35 = 2*x - 6. What is the remainder when (((-1001)/28)/11 - -3)/((-19)/5092) is divided by x?
13
Let v = -180 - -205. Suppose -v*u + 529 = -1021. Suppose 5*a - 40 - 45 = 0. What is the remainder when u is divided by a?
11
Suppose 4*s = 6*s, -5*j + 0*j + s + 290 = 0. What is the remainder when 10786 is divided by j?
56
Let m = -66 - -180. Let g = 64 + -60. Suppose 248 = 3*y + y - 3*z, -g*z = 16. What is the remainder when m is divided by y?
55
Suppose 72*n - 3840 = 1056. Calculate the remainder when 107 is divided by n.
39
Suppose 5*a - 12469 = 3*l, -3*a + 2791 = -l - 4684. What is the remainder when 2502 is divided by a?
13
Suppose 453*b - 365765 = -32810. What is the remainder when b is divided by 23?
22
Let l(t) = -3*t**3 + 15*t**2 + 21*t - 88. Calculate the remainder when 213 is divided by l(4).
37
Let i(b) = -b + 34. Suppose 10*k - 6*k - 68 = 0. Let p(n) = -11*n**3 + 1. What is the remainder when i(k) is divided by p(-1)?
5
Let b = 2456 + -2354. What is the remainder when 406 is divided by b?
100
Suppose 2*t = -5*w + 88, -w + t + 6 = -13. What is the remainder when ((-30)/(-4))/(11 + 612/(-56)) is divided by w?
15
Let q(o) = -49*o + 20. Let d be q(0). Calculate the remainder when 171 is divided by (148 - (-12)/(-4))*12/d.
84
Let u = 71 - -33. Suppose -q + 4*q + 4*g - u = 0, 0 = -2*g - 8. What is the remainder when q is divided by 6?
4
Suppose -2*w - 3*f + 95 = -0*w, -2*w = -5*f - 103. Let s = w - 24. Calculate the remainder when 110 is divided by s.
10
Suppose -44*l = 4993 - 46925. Calculate the remainder when l is divided by 30.
23
Let f = 41 + -72. Let i = f + 38. Suppose 0 = -i*k + 71 - 8. Calculate the remainder when 27 is divided by k.
0
Let v = 5280 + -4275. Calculate the remainder when v is divided by 110.
15
Suppose -5*h = 3*o - 113, -o - 164 = -5*h - 15. Let u = 90 - 62. What is the remainder when u is divided by h?
0
Suppose -4*o + 389 = -175. Calculate the remainder when o is divided by 25.
16
Let o(c) be the first derivative of -33*c**2 + 9*c + 25. Let j be o(-11). Suppose g - j = -14*g. What is the remainder when g is divided by 13?
10
Suppose -167 = -3*s - 0*c + 4*c, s - 2*c = 55. Calculate the remainder when 167 is divided by s.
53
Let f = -2888 - -2942. Calculate the remainder when 13714 is divided by f.
52
Suppose -w - g + 8 = 0, 2*w - 19 = 23*g - 24*g. Suppose -6*m - 440 = -w*m. What is the remainder when m is divided by 35?
18
Let t be (-3)/(-5) + 9/(-15). Suppose b - 3 - 1 = t, 5*u + b - 404 = 0. Calculate the remainder when u is divided by 14.
10
Suppose 736 = 5*p - 3*q, -628 = 3*p - 2*q - 1069. Calculate the remainder when 2228 is divided by p.
142
Suppose 0 = 178*i - 189*i + 1375. Calculate the remainder when i is divided by 37.
14
Suppose 52*d - 1325 