the remainder when 419 is divided by v(5)?
27
Suppose -4*w + 93 = -5*q, 4*w + 4*q - 136 = -16. Calculate the remainder when w is divided by 21.
6
Let l = -2147 + 2234. Calculate the remainder when l is divided by 13.
9
Calculate the remainder when 39 is divided by ((-26)/((-468)/27))/((-3)/(-46)).
16
Suppose -4*v + 430 = 5*h, -21 = h + 3*v - 118. Let z be (-22)/(-6) - 15/(-45). Let n(s) = s**2 - s + 2. What is the remainder when h is divided by n(z)?
12
Let d = -68 - -72. Let c(f) = -f**3 + 5*f**2 - 4*f + 4. What is the remainder when 5 is divided by c(d)?
1
Let x(t) = t**2 - 4*t - 72. Let q(b) = -b. Calculate the remainder when x(12) is divided by q(-5).
4
Let v(l) = l**3 - 3*l**2 + 4*l - 3. Suppose -5*i + 9 + 1 = 0. What is the remainder when (6/4)/((-1899)/(-1266)) is divided by v(i)?
0
Let c(n) = -2*n**3 + 18*n**2 - 17*n + 20. Let g be 6/21 - 12/(-7). What is the remainder when 69/(g/(-4) - -2) is divided by c(8)?
10
Suppose 0*l + 15 = 2*l + 5*o, 5*l = -4*o + 29. Let r be -2*((-9)/6 + 0). Suppose -10 - 11 = -r*f. Calculate the remainder when f is divided by l.
2
Suppose -4*j = -16 + 4. Suppose 0 = -j*p - 1 + 7. Calculate the remainder when 134 is divided by p/4 + 67/2.
32
Suppose 0 = 5*j - 73 - 387. Calculate the remainder when j is divided by 42.
8
Let o be 4/(-2) - (-2 + 3 - -39). Let q = o - -73. Calculate the remainder when q is divided by 11.
9
Let a(g) = -g**2 + 7*g + 223. What is the remainder when 187 is divided by a(-9)?
29
Let h = 38 - 19. Suppose 2*l + 0*l = -4*n + 208, 5*l + 20 = 0. What is the remainder when n is divided by h?
16
Suppose -9*i = -g - 13*i + 4, 0 = 5*g - 3*i - 43. What is the remainder when 34 is divided by g?
2
Suppose -2*p - 4*m = -50, 11*p + 3*m - 95 = 7*p. What is the remainder when 44 is divided by p?
21
Let p = 3 + -3. Suppose -17*i + 15*i + 80 = p. Calculate the remainder when i is divided by 21.
19
Let l be ((-2)/(-2))/(2/(-40)*-5). Suppose -l*n + 4*p + 304 = 0, -3*n - 5*p + 241 = 45. Let k = 50 - 35. Calculate the remainder when n is divided by k.
12
Suppose -4*t = -9*t + 50. Calculate the remainder when 36 is divided by t.
6
Let d = 245 - 116. Suppose 5*t = 161 - 111. What is the remainder when d is divided by t?
9
Let j be 451/(-22) + 1/2. Let z be j/8*(-486)/15. What is the remainder when 53 is divided by (-1)/((0 - 3)/z)?
26
What is the remainder when 412 is divided by -1 + 28*(7 + -4)?
80
Let t = -11 + 13. Suppose -2*z - 3*o - 932 = 0, t*z - 5*z - 2*o - 1388 = 0. Calculate the remainder when z/(-12) + (-2)/(-3) is divided by 14.
11
Let s be 5*((-14)/(-10) - 1). Suppose 217 = 4*q - 3*w + 2*w, 4*w = -s*q + 104. Let u(r) = 4*r**2 - 4*r + 4. What is the remainder when q is divided by u(3)?
26
Suppose -5*k = 6*l - 5*l - 360, l - 328 = 3*k. What is the remainder when l is divided by 18?
16
Let a(i) = i**2 - 5*i + 2. Let y be a(5). Suppose -y*l + 0*l + 18 = 0. Let d = 1 + 33. What is the remainder when d is divided by l?
7
Let r = 12 + -32. Calculate the remainder when 50 is divided by -1 - (48/r)/((-2)/(-15)).
16
Let b = -1717 - -1804. Suppose 4*j = -22 + 114. What is the remainder when b is divided by j?
18
Suppose 2*i - 2*p = 27 + 23, -3*p = -5*i + 133. Suppose 4*h = 121 - i. Calculate the remainder when h is divided by 7.
2
Let q = -370 + 374. Calculate the remainder when 11 is divided by q.
3
Let t(a) = 6 + a + a + 4. Let l be t(-5). Suppose 5*n - 34 = -2*f, -2*f + n - 4 + 26 = l. Calculate the remainder when 44 is divided by f.
8
What is the remainder when 44/(-220) - (-1552)/10 is divided by 4?
3
Let c = -2859 + 3339. Calculate the remainder when c is divided by 37.
36
Let f = -7 + 12. Suppose f*s - 78 = -4*y + 2, 2*y - 58 = -4*s. What is the remainder when 58 is divided by s?
10
Let s(l) = 13*l**2 - 3*l - 4. Suppose 0 = 6*h - 2 + 20. What is the remainder when s(h) is divided by 31?
29
Let w(v) = -6*v**2 - v**3 + 13*v - 15 + 11*v**2 - 4. Calculate the remainder when 67 is divided by w(6).
21
Let q = 535 - 504. What is the remainder when 246 is divided by q?
29
What is the remainder when 22 is divided by 1 + ((-64)/(-8))/4?
1
Suppose 11*k - 13*k + 88 = 0. What is the remainder when 304 is divided by k?
40
Suppose -4*s = -h - h - 52, -3*h - 6 = 0. What is the remainder when s is divided by 4?
0
Let y = 7184 + -7158. Let l(a) = 10*a**2 + 3*a + 1. What is the remainder when l(3) is divided by y?
22
Suppose -5612 - 10642 = -27*x. Calculate the remainder when x is divided by 9.
8
Suppose -9*v - 21*v + 300 = 0. What is the remainder when 147 is divided by v?
7
Let b = 56 + -31. Let y(m) = m**2 + m - 2. Let w be y(-2). Calculate the remainder when b is divided by (15 - 2)/(1 - w).
12
Let b be 1*-1*(-210)/(-10). Let z = 51 + b. What is the remainder when 89 is divided by z?
29
Let r(f) be the first derivative of -5*f**3/3 + 2*f**2 - 7*f - 5. Let t(p) be the first derivative of r(p). What is the remainder when t(-3) is divided by 12?
10
Let f = -23 + 55. Suppose -2*k + f = 3*n, n + n = k + 33. Let g(c) = 8*c**2 - 4*c + 3. Calculate the remainder when g(2) is divided by n.
13
Let p be (24/2)/3 - 1. Let y be ((-1 - -4) + -2)*p. Suppose y*s + 52 = 4*m - 0*s, 4*m = s + 44. What is the remainder when 17 is divided by m?
7
Let q be -3 + 4 - (65 - -2). Let t = q - -99. Calculate the remainder when t is divided by 12.
9
Let g be -6 + (5 - 3) - (-77)/(-11). Calculate the remainder when 17 is divided by (7/4)/(g/(-44)).
3
Let q = -4 + 6. Suppose q*b + 2*b - 44 = 0. Suppose -5*v - k = -109, -9*v - k + 46 = -7*v. Calculate the remainder when v is divided by b.
10
Let i(h) = 6*h**2 - 1 - 2*h**2 + 6*h**2. Suppose o = r - 1, -4*r + 5*o + 4 = -0*o. What is the remainder when 51 is divided by i(r)?
6
Let k be (2 + -1)/((-1)/(-1)). Let h = k - -1. What is the remainder when (10/(-6))/(12/(-36)) is divided by h?
1
Let a(q) = q**2 - 3*q - 40. Let b be a(0). Let t = b - -57. Let k = 30 - -36. What is the remainder when k is divided by t?
15
Let i(h) = -h**3 + 9*h**2 - 10*h + 18. Let r be i(8). Let w(g) = 5*g**2 + g - 2. What is the remainder when 65 is divided by w(r)?
5
Suppose -24*y + 21*y = -5*j + 684, 2*y = -6. Let s = j + -119. Suppose 186 = 5*c - 119. What is the remainder when c is divided by s?
13
Suppose -48 = -4*g - 2*i, -3*g - 2*i + 7*i = -23. Suppose -g = -4*j + 157. Calculate the remainder when j is divided by 22/3*(4 - 45/18).
9
Let x(r) = 2*r - 5. Let f be x(4). Suppose 16 = f*t + 4. What is the remainder when 3 + t/(16/140) is divided by 8?
6
Suppose 0 = -8*m + 15 + 1313. Calculate the remainder when m is divided by 19.
14
Let u = 570 - 433. Calculate the remainder when u is divided by 51.
35
Calculate the remainder when 30 is divided by ((-7)/14)/((-4)/(-552)*-3).
7
Let v(b) = 8*b**2 + b + 10. Let j be (-4)/(-1) + 0/6. What is the remainder when v(j) is divided by 29?
26
Suppose 0 = -4*f - 2 + 14. Suppose 0*j + 29 = 3*h + j, 17 = f*h + 4*j. Calculate the remainder when 51 is divided by h.
7
Suppose -3*p - 2*p + s + 140 = 0, 0 = 3*p - 5*s - 84. What is the remainder when 209 is divided by p?
13
Suppose 277*j - 351 = 268*j. What is the remainder when 387 is divided by j?
36
Suppose 0 = -0*f + 5*f + 35. Calculate the remainder when 0/3 - (f - 47) is divided by 14.
12
Let n(f) = -7*f + 4. Let l be 11/(891/18) + 130/(-18). Calculate the remainder when 105 is divided by n(l).
52
Suppose -3*g = -k - 39, 3*k + 8 - 60 = -4*g. What is the remainder when 113 is divided by g?
9
Let g = -252 - -252. Suppose 139*j - 138*j - 16 = g. What is the remainder when (2 - 1)*122/2 is divided by j?
13
Let v = 832 + -812. Let z be (-4)/10 + (-887)/(-5). Let f = z - 120. What is the remainder when f is divided by v?
17
Let f(s) = 3*s + 10. What is the remainder when (-1 - 28/(-12))*(-57)/(-2) is divided by f(0)?
8
Calculate the remainder when 397 is divided by (-4)/22 - (-52)/44 - -49.
47
Suppose 3*q - 8 + 2 = 0. Suppose -26 = -q*x + 8. Suppose -t + 8 = -x. What is the remainder when t is divided by 9?
7
Let h be 1 - -1 - (0 - 4 - -9). Let p(m) = m**3 + 2*m**2 - 4*m - 1. Calculate the remainder when 5 is divided by p(h).
1
Let y(x) = -x**3 - 7*x**2 - x + 11. Let s be y(-7). Let a = -24 + s. Let f = 24 - a. Calculate the remainder when f is divided by 11.
8
Let p = 372 - 332. Calculate the remainder when 107 is divided by p.
27
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