culate the remainder when x(4) is divided by f.
4
Suppose -2*b + 6*b = 16. What is the remainder when (-3)/(66/b) + (-2454)/(-66) is divided by 8?
5
Suppose 3*p - 168*c + 171*c = 237, -p + 2*c = -67. What is the remainder when p is divided by 51?
24
Let l(n) = 5*n**2. Suppose -5*d - 39 = -49. Suppose -d*b + b = -12. Calculate the remainder when b is divided by l(1).
2
Let d be (-9)/(-15) - (-3)/(15/52). Suppose -d = -y + 2*q, 2*y + 1 + 2 = -q. Calculate the remainder when y is divided by 1.
0
Suppose v + 5*x = 91 - 7, -5*v - 3*x + 332 = 0. Calculate the remainder when v is divided by 36.
28
Let h(p) = -p**2 + 12*p - 9. Calculate the remainder when ((-6)/(-8))/((-81)/(-756))*9 is divided by h(8).
17
Let v = 334 + -286. What is the remainder when v is divided by 20?
8
Suppose 3*t - 18 = -t + 2*a, 3*t = a + 14. Suppose -4*o = t*i - 0*o - 110, -5*i = -3*o - 145. What is the remainder when 77 is divided by i?
25
Let k = 67 - 24. What is the remainder when k is divided by 17?
9
Suppose -a + 3*b + 16 = 0, -4*a + 0*a = 4*b. Suppose -86 = -n + a*j, j - 318 = -4*n + 4*j. What is the remainder when n is divided by 16?
14
What is the remainder when 173 is divided by 125/(-3)*(-189)/315?
23
Let m = 13 + 25. Suppose 4*k = 5*k - 10. Calculate the remainder when m is divided by k.
8
Suppose -13 = -4*x - 5. What is the remainder when (-7)/(-2) - (5/(-2) - -2) is divided by x?
0
Let i = -203 + 238. Calculate the remainder when i is divided by 12.
11
Suppose 3*m - 41 = 2*c - 302, 2*m = c - 128. Calculate the remainder when c is divided by 14.
12
Let n = 104 - 44. Suppose -3 = 5*s + 22. What is the remainder when n is divided by (23/1)/1 - (-10)/s?
18
Let m(p) = p**3 + 7*p**2 - 6*p - 4. Let q(f) = f**3 + 6*f**2 - 5*f - 3. Let l(c) = -2*m(c) + 3*q(c). Calculate the remainder when 20 is divided by l(-4).
9
Let o = 87 + -71. Calculate the remainder when 207 is divided by o.
15
Suppose j = -k + 19, -j + 17 - 10 = -3*k. What is the remainder when j is divided by 10?
6
Suppose k - 27 - 4 = -f, k + 3*f = 31. Let l(z) = -z**3 + z**2 + 128. Let t be l(0). What is the remainder when k is divided by (3/6)/(8/t)?
7
Let i = -1086 - -1109. What is the remainder when 596 is divided by i?
21
What is the remainder when 634 is divided by 1032/86 - 23*-2?
54
Calculate the remainder when 2*(108/8)/(-9) - -201 is divided by 40.
38
Suppose 4*f + 19*q - 16*q - 142 = 0, 2*f - 72 = -2*q. Let p(m) = 2*m**2 - 8*m + 1. What is the remainder when p(8) is divided by f?
31
Suppose -62 = -5*x + 378. Let m(h) = -5*h - 37*h**2 - 5 + 29*h**2 - 5 - h**3. What is the remainder when x is divided by m(-8)?
28
Let b = 12 - 9. Let f(v) = -3 - b + 0 + 62*v + 0. Calculate the remainder when f(2) is divided by 30.
28
Let r be 2/7 - (-286)/77. Suppose -35 = -j + q, r*q + 24 + 76 = 3*j. Suppose -i - 4*i = -j. Calculate the remainder when 21 is divided by i.
5
Let j = 3349 - 2883. What is the remainder when j is divided by 94?
90
Calculate the remainder when -22*12/(-4) + 4 is divided by 13.
5
Let r(w) be the second derivative of w**4/12 - 5*w**3/6 + w**2 - w. Suppose 0 = 5*u - 3*u - 14. Calculate the remainder when u is divided by r(5).
1
Let r = 9 + 18. Let w = 289 - 284. What is the remainder when r is divided by w?
2
Let i = -575 - -606. Calculate the remainder when 371 is divided by i.
30
Suppose -5*j + 64 + 21 = 0. Let s = j - 13. Suppose 2*a - 5*p + 80 = s*a, -4*p = 3*a - 134. What is the remainder when a is divided by 17?
16
Let j(n) = 3*n**2 - 17*n + 14. Let a be j(11). Suppose 3*m = -b + a, -4*b + 5*m - 69 = -795. Calculate the remainder when b is divided by 37.
36
Suppose 4*s - 389 = -281. What is the remainder when 429 is divided by s?
24
Suppose 2*s - 3*q = 194, -q = s + 2*q - 88. What is the remainder when 360 is divided by s?
78
Suppose -r + 20*f + 27 = 19*f, -5*f - 77 = -3*r. Calculate the remainder when 1 + -2 + (-2 - -115) is divided by r.
25
Let o(g) = -3 - 5 + 11*g + 6. Suppose 6*b - b - 390 = 0. What is the remainder when b is divided by o(2)?
18
Suppose -4*j = 5*g - 800, 3*g = 17*j - 12*j + 517. Calculate the remainder when g is divided by 9.
2
Suppose -7*g = -1269 + 317. What is the remainder when g is divided by 10?
6
Let q = -24 - -4. Let w = -8 - q. What is the remainder when 35 is divided by w?
11
Let x be 188/(-12) + (-1)/3. Suppose 6*b - 38 = 160. What is the remainder when b is divided by (x/(-6))/((-2)/(-9))?
9
Let f = 10 + -5. Suppose f*t - u - 422 = 0, -3*t + 0*u - u + 258 = 0. Calculate the remainder when t is divided by 23.
16
Let s = 16 - 13. Suppose 1 + s = -2*g, 0 = -5*o - 4*g + 7. Suppose 5*q + o*t - 106 = 0, -3*q + 0*q - 3*t = -60. What is the remainder when 45 is divided by q?
22
Suppose -2*j + 3*m - 14 = -2*m, -28 = 4*j + 2*m. Let i(l) = l**2 + 3*l + 2. Calculate the remainder when i(j) is divided by 8.
6
Let m = 24 - 38. Let x = m - -25. What is the remainder when (-72)/6*((-3)/2 - 2) is divided by x?
9
Let n(w) = 96*w**2 - 3*w + 2. Let c(q) = q**2 - 3*q - 17. Let s be c(6). Calculate the remainder when n(s) is divided by 12.
11
Suppose v = -2*g + 115, -6*g + g - 635 = -5*v. Calculate the remainder when v is divided by 33.
24
Let y(n) = -14*n - 7. Let o = -61 - -59. Suppose 33 = 2*z + 11. What is the remainder when y(o) is divided by z?
10
Suppose 6*n - 14 + 2 = 0. Suppose 0*u = n*u. Suppose -l - 4*m + 39 = 0, 3*m - 7 - 8 = u. What is the remainder when 35 is divided by l?
16
Let p(c) = -23*c + 151. Calculate the remainder when 59 is divided by p(6).
7
Let l(f) = 7*f - 2. Let n be l(2). Let h = -20 + 20. Let m = n - h. Calculate the remainder when 44 is divided by m.
8
Suppose 0 = -4*q + 3*q - 5. Let c = 14 + q. What is the remainder when 16 is divided by c?
7
Suppose -6*r + 284 = -2*r. Suppose -5*k + f - 92 = -191, -k = -5*f - 39. What is the remainder when r is divided by k?
14
What is the remainder when 1 + -3 + -3 + 28 is divided by 13?
10
Suppose 0 = 126*y - 128*y. Suppose -2*o + 208 = 3*b, 312 = -y*o + 3*o + 2*b. What is the remainder when o is divided by 29?
17
Let j(k) = 8*k - 2. Suppose -i - 3*z = -1, 5*z - 4 = -4*i - 0*z. Let c = 9 + i. Calculate the remainder when c is divided by j(1).
4
Let q(n) = -n + 12. Let d be q(8). Suppose 8*k - 24 = d*k. Let j(s) = s**2 + 11*s - 20. What is the remainder when j(-14) is divided by k?
4
Let l(q) = q**3 - 2*q + 4. Let k be l(2). What is the remainder when 26*k - 10/(-2) is divided by 24?
21
Let m(x) = 4*x**2 - 10*x - 15. Let f = 24 + -17. Let y(r) = -9*r**2 + 21*r + 31. Let j(g) = f*m(g) + 3*y(g). What is the remainder when j(9) is divided by 4?
2
What is the remainder when 153/(((-45)/10)/(-3)) is divided by 32?
6
Let d(m) = 4*m - 9. Let t be d(6). Let n = -8 + t. Let c(a) = a**3 - a + 19. What is the remainder when c(0) is divided by n?
5
Suppose 4*m = 7*m - 9. Suppose 0 = -4*i + 5*o + 39, -i + 2 = -m*o + 1. What is the remainder when 159 is divided by i?
15
Let g(r) = r + 6. Let o be g(-8). What is the remainder when 65 is divided by ((-28)/5 - -5)/(o/110)?
32
Let d = 28 + 6. Suppose 37 = 3*t + 2*f - 9, 3*t - 3*f - 66 = 0. Calculate the remainder when d is divided by t.
16
Calculate the remainder when 167 is divided by ((-1)/2)/(2 + (-141)/70).
27
Suppose -288 = -25*q + 9*q. Calculate the remainder when 52 is divided by q.
16
Suppose -3*l = -l - 2*t - 38, 0 = -4*l - 4*t + 44. Suppose 0 = 5*q - 2*y - 366, 84*q = 87*q + y - 224. Calculate the remainder when q is divided by l.
14
Let s = 1611 - 206. Calculate the remainder when s is divided by 74.
73
Let l = 1647 + -1111. Calculate the remainder when l is divided by 49.
46
Let s = 81 - 81. Let o(r) = 3*r**2 + 7*r + 2. Let m be o(-5). Suppose 2*y - m = 4*h, -29 = -4*y - 3*h - s*h. What is the remainder when 42 is divided by y?
9
Suppose 2*f + 9 = 79. Calculate the remainder when f is divided by 11.
2
Let x(t) = -3*t**2 + 29*t + 2. Let d(g) = 2*g**2 - 19*g - 1. Let z(r) = 8*d(r) + 5*x(r). Let h = 38 + -21. What is the remainder when h is divided by z(8)?
7
Let u(y) = 2*y + 3. Let h be u(-8). Let p(l) = -l**3 - 13*l**2 - 9*l - 30. Calculate the remainder when p(h) is divided by 18.
15
Let d(s) be the first derivative of -s**4/4 - 2*s**3 + 5*s**2 - 9*s + 7. Calculate the remainder when d(-8) is divided by 20.
19
What is the remainder when 1139 is divided by (4 + -6)/