d by x.
15
Let u(m) = -8*m + 27. Let o be u(18). Let c = o + 197. Calculate the remainder when c is divided by 21.
17
Let n = -110 + 213. Suppose 4*h = -5*f + n, 2*h - 5*h - 2*f = -72. Calculate the remainder when 195 is divided by h.
19
Suppose -536 = -38*v - 80. Let i(s) = 65*s + 7. Let d(b) = 97*b + 11. Let p(r) = 5*d(r) - 8*i(r). Calculate the remainder when p(-1) is divided by v.
10
Suppose 0*p = 5*p + 15. Let d be (1 + 5)*(-70)/(-21). Let w = d - p. Calculate the remainder when 43 is divided by w.
20
Suppose -24*b + 1320 = -1200. Calculate the remainder when b is divided by 17.
3
Let z(k) = k**3 + 2*k**2 - 4*k - 5. Let j be z(-2). Suppose -j*a - 5*l = -94, -5*a + 83 = 5*l - 87. What is the remainder when a is divided by 8?
6
Let l = 165 + -32. Let n = l - 106. Let k = 15 + -9. Calculate the remainder when n is divided by k.
3
Let c(t) = 2*t**2 - 13*t + 13. Let x be ((-2)/4)/((-2)/(-12)). Let u(k) = 5*k**2 - 5*k - 2. What is the remainder when u(x) is divided by c(7)?
18
Let a = -8 + 10. Suppose 0 = -4*x + m + 3*m + 72, 0 = -3*x + a*m + 52. Calculate the remainder when ((-87)/9)/(1/(-3)) is divided by x.
13
Suppose 21*x - 1013 - 457 = 0. Calculate the remainder when x is divided by 20.
10
Let i(o) = o**2 + 3*o + 10. Suppose 35 = -3*k - 2*k. Let f(v) = -11*v - 20. Calculate the remainder when f(k) is divided by i(-5).
17
Let h = -26 + 29. Suppose d - 15 = -5*p + 2*d, 3*p = -h*d + 9. Suppose -5*f = -q + 39, -p*q + 65 = -f - f. Calculate the remainder when q is divided by 7.
5
Suppose 2322*l = 2316*l + 12. Calculate the remainder when l is divided by 1.
0
Suppose -4*v + 193 = -155. Suppose 0 = 4*m + 5*g - 77, 2*m + 2*g - 35 = 3*g. What is the remainder when v is divided by m?
15
Let d(j) = j + 7 + 1 + 1. Calculate the remainder when 8 is divided by d(-6).
2
Let d = -42 + 46. Let f be -2*1/(-3)*-3. What is the remainder when f/9 + (-581)/(-63) is divided by d?
1
Suppose -t = 2*m - 124, 2*t + 2*m + 49 - 287 = 0. Calculate the remainder when t is divided by 13.
10
Let p(s) = 2*s**2 + 43*s - 323. What is the remainder when 2658 is divided by p(7)?
74
Let j = 292 - 268. Calculate the remainder when j is divided by 8.
0
Let x = 0 - -3. Suppose 3*j + x*y - 48 = -j, 4*j - 5*y = 16. Suppose 44 = 2*d - 2*h, d + 2 - j = -2*h. Calculate the remainder when 32 is divided by d.
15
Let w = 260 + -181. Calculate the remainder when w is divided by 9.
7
Calculate the remainder when 40/50*70/4*4 is divided by 30.
26
Let z = -348 - -369. Calculate the remainder when 99 is divided by z.
15
Let r(d) = d**3 - 3*d**2 + 4*d + 3. Calculate the remainder when r(5) is divided by (-14 + 0 - 5)*-1.
16
Suppose -4 = -2*i, 3*c + 862 = 7*c + i. Calculate the remainder when c is divided by 18.
17
Let p(o) = -5*o - 13. Let z = 41 - 45. Calculate the remainder when 25 is divided by p(z).
4
Suppose 5*k + 160 = i, 400 = 4*i + 5*k - 215. Calculate the remainder when i is divided by 58.
39
Let s(a) = -4*a**3 + 8*a**3 + a**3 + a - 4*a**3 + 6*a**2 - 2. Calculate the remainder when 44 is divided by s(-2).
8
Suppose 238*p - 240*p + 170 = 0. Calculate the remainder when p is divided by 23.
16
Let g(o) = o**3 - 7*o**2 + 8*o - 3. Let m(v) = 9*v - 7. Let l(x) = 18*x - 15. Let z(k) = -4*l(k) + 9*m(k). Calculate the remainder when z(5) is divided by g(6).
6
Let v = 27 + -6. Suppose m + 2*m = 15. Suppose -k = -2*k - 3*h + 62, -m*k + 3*h + 310 = 0. Calculate the remainder when k is divided by v.
20
Calculate the remainder when 1582 is divided by 308/(-8)*(-1)/7*12.
64
Suppose 363 = w + 233. Calculate the remainder when w is divided by 22.
20
Suppose 2*u = -d + 92, 0 = 2*u - 3*d - 20 - 64. Let v(w) = w**2 + 8*w + 4. Let m = -36 + 26. Calculate the remainder when u is divided by v(m).
21
Let v(p) be the first derivative of p**3/3 - 2*p**2 - 9*p - 11. Let k be v(6). Suppose 3*r - 24 = -k. What is the remainder when 18 is divided by r?
4
Let n(h) = -47*h + 1. Let o be n(-1). Let s be o/(-9)*(-3)/(-2). What is the remainder when 81 is divided by 42/s*(-96)/36?
11
Suppose -34*u - 406 = -41*u. Calculate the remainder when 230 is divided by u.
56
What is the remainder when (-7395)/(-40) + (35/(-40))/(-7) is divided by 9?
5
Let b(t) = -16*t - 98. Let o = 25 + -14. What is the remainder when b(-8) is divided by o?
8
Let q(m) = -m**3 - 3*m**2 + 11*m + 11. Calculate the remainder when (-260)/(-39)*12/5 is divided by q(-5).
4
Suppose -b - 7 + 1 = 0. Let m(w) = -w**3 - 7*w**2 - 8*w + 5. Calculate the remainder when m(b) is divided by 9.
8
Suppose 9*h = 11*h - 192. Suppose -2*s = 3*d - h, 5*d - 39 = 4*d - 3*s. What is the remainder when ((-16)/(-6) - 2)*177 is divided by d?
28
Suppose 0 = c + 4*c - 225. Let m = 196 - 238. Let h = 54 + m. What is the remainder when c is divided by h?
9
Suppose 9*o - 12*o + 111 = 0. Let p = o + -32. Calculate the remainder when 14 is divided by p.
4
Suppose -2*r + 2 = 4. Let g = 5 - r. What is the remainder when (g/4)/(27/1152) is divided by 22?
20
Suppose 4*x + 4*z = -x + 201, -3*x = -5*z - 128. What is the remainder when x is divided by 15?
11
Let o = -2003 - -2253. What is the remainder when o is divided by 58?
18
Suppose 0 = -2*u + 9 + 71. Suppose 0 = -x - 4*x + u. Let d(y) = 2*y**2 + 9*y + 3. What is the remainder when d(-6) is divided by x?
5
Suppose 0 = 38*f - 34*f - 272. What is the remainder when f is divided by 24?
20
Let u = 361 - 227. Calculate the remainder when u is divided by 17.
15
Suppose 0 = 14*d + 5*d - 95. Calculate the remainder when 59 is divided by d.
4
Suppose 3*q = -2*c - 0*c + 246, 5*c - 15 = 0. Suppose 0 = 2*h + 2*h - q. Calculate the remainder when 76 is divided by h.
16
Let m = 21 + -30. Let r = m + 9. Suppose 5*f = 2*p + 84 + 2, 5*p + 15 = r. Calculate the remainder when 46 is divided by f.
14
Let l = -96 + 150. Calculate the remainder when l is divided by 41.
13
Let a(z) = 2*z**3 - 28*z**2 - 61*z + 45. What is the remainder when a(16) is divided by 9?
3
Let g(w) = 3*w**2 + 7*w - 4. Let b be g(-9). Suppose -4*u + u = 4*l - 114, 2*l - b = -5*u. What is the remainder when u is divided by 23?
11
Let g(m) be the first derivative of 2*m**3/3 - 4*m**2 - 2. Calculate the remainder when g(6) is divided by ((-143)/22)/((-1)/2).
11
Calculate the remainder when (-2*(-30)/8)/(141/940) is divided by 6.
2
Suppose -4*k = k. Suppose 2*x + 2*s = 12 + 8, k = 2*x + 5*s - 32. What is the remainder when 63 is divided by x?
3
Suppose 0 = k - 5*m - 282 - 322, m + 2321 = 4*k. What is the remainder when k is divided by 83?
81
Suppose -f - 3 = -1. Let z be (1 + f)*22/(-11). Let c = z - -11. What is the remainder when c is divided by 5?
3
Suppose -5*b + 28 = -2*v, -172 = 4*b - 5*v - 191. Suppose -23 + 8 = -f. Calculate the remainder when f is divided by b.
3
Let n(k) be the first derivative of k**4/4 - k**2 + k + 44. What is the remainder when 15 is divided by n(2)?
0
Suppose 24 = 4*l - 2*l. Suppose 5*t - l = -2. Suppose t*k + 29 = 5*z + 87, -5*z - 24 = -k. What is the remainder when k is divided by 7?
6
Suppose 3*f - 7 - 20 = 0. Let h(p) = p**3 + 3*p**2 - 4*p + 3. Let x be h(-4). Suppose 5*o = 6*o - x. What is the remainder when f is divided by o?
0
Suppose p + p = 8, -3*p - 532 = -4*j. Calculate the remainder when j is divided by 69.
67
Let i = 364 - 358. What is the remainder when i is divided by (-2 - 1)/((-3)/2)?
0
Suppose 0 = -3*p + 2*m + 14, p + m = 1 + 2. Suppose -d + 34 = -i, p*d = -i - i + 106. What is the remainder when d is divided by 8?
5
Let r be -12*(0 + 3/(-9)). Let m = r + 79. What is the remainder when m is divided by 21?
20
Let x(u) = 23*u + 1. Let l(y) = -115*y - 4. Let k(z) = 2*l(z) + 11*x(z). What is the remainder when k(3) is divided by 13?
7
Let l = -1119 + 1138. What is the remainder when 31 is divided by l?
12
Suppose 3*r + 2 = -l + 10, r - 3*l = 6. Let j(z) = 10*z**2 - 5*z**2 + 2*z**2 - 5*z**2 - 7 + 6*z. Calculate the remainder when j(r) is divided by 6.
5
Let t(z) = -9*z - 6. Let u be t(-5). Let w = -12 + u. What is the remainder when 106 is divided by w?
25
Let t = -215 - -307. Let w = t + -32. Calculate the remainder when w is divided by 13.
8
Suppose -l = 2*l - 48. Let i = 2794 + -2733. Calculate the remainder when i is divided by l.
13
Let m = 55 - 39. Suppose -5*x - 2*j - 8 = 0, -4*j - 15 - 1 = x. Suppose -11*k + 4*k + 196 = x. What is t