Suppose 0 = -9*n + p*n - 9. Let q(d) = -3*d - 4. Calculate the remainder when q(-5) is divided by n.
2
Let b = -182 + 293. What is the remainder when b is divided by (-3)/(2 - -1) + 15?
13
Let f = 484 + -311. Calculate the remainder when f is divided by 44.
41
Let z(c) = c. Let m(b) = -8*b - 1. Let w(f) = -2*m(f) - 18*z(f). Calculate the remainder when w(-9) is divided by 6.
2
Let r(m) = -7*m - 2. Let l be r(-1). Suppose 336 = l*p - 8*p. Let k = p + 158. Calculate the remainder when k is divided by 16.
14
Suppose 202 - 86 = 4*o. Suppose 720 = 10*t - 420. Calculate the remainder when t is divided by o.
27
Suppose 12 = 2*q - 10. Let r(v) = v**3 + v. Let c be r(0). Suppose s = -c*s + 4. Calculate the remainder when q is divided by s.
3
Suppose -5*g + 2*u + 53 = -27, -64 = -4*g + u. Let q(w) = -3*w - 3. Calculate the remainder when g is divided by q(-3).
4
Let m(d) = -d**2 + 4*d - 5. Suppose 24*b = 28*b - 16. Let f be m(b). Let u(s) = -s**3 - 5*s**2 - 4*s - 12. What is the remainder when 15 is divided by u(f)?
7
Let j be 14/8 - (-11)/44. Suppose j*a = 53 + 41. What is the remainder when a is divided by 24?
23
Calculate the remainder when (9/(-18))/((-4)/776) is divided by 7.
6
Let g(t) = 2*t**3 - 28*t**2 + 2*t - 7. Suppose 0 = 4*p - 29 - 75. Suppose -4 = 4*m, m - 3*m = -4*u + p. Calculate the remainder when g(14) is divided by u.
3
Suppose 242 = m + 3*k, m + 5*k + 1270 = 6*m. Calculate the remainder when m is divided by 21.
20
Let u(j) = j**2 + 10*j - 111. What is the remainder when u(-19) is divided by 38?
22
Suppose -4*y + 5*h + 160 = y, 2*y - 52 = -2*h. Calculate the remainder when 317 is divided by y.
27
Let b = 5926 - 5915. Suppose -4*s - 6 = -6*s. What is the remainder when b is divided by s?
2
Let m(i) = i**2 - 16*i + 4. Let n = 1 + 3. Suppose 3*f - 174 - 119 = -4*q, -n*q = 16. What is the remainder when f is divided by m(17)?
19
Let z(r) be the second derivative of -5*r**3/6 - 17*r**2 - 11*r. Calculate the remainder when 53 is divided by z(-9).
9
Suppose s - 1 = 0, 917 = 4*q + 2*s + 223. Calculate the remainder when q is divided by 44.
41
Let o be (-13)/(-4) - (-5)/(-20). Let v(a) = 6*a - o*a**2 + 2*a + 6 + 2*a**2. What is the remainder when 21 is divided by v(8)?
3
Let p = 12 - 7. Let g(d) = d**3 - 5*d**2 + 12. Let j be g(p). What is the remainder when 18 is divided by (76/j + -3)*3?
8
Let i = 110 + -92. What is the remainder when i is divided by 7?
4
Suppose -4*a - r = -5*r + 304, 5*a - 2*r + 374 = 0. Let x = 90 + a. Calculate the remainder when x is divided by 4.
0
Suppose -27478 + 27391 = -29*u. Let x = 29 - 13. What is the remainder when x is divided by u?
1
Let s = -94 + 138. What is the remainder when 133 is divided by s?
1
Let a = 514 + -402. What is the remainder when a is divided by 7?
0
Suppose 0 = 3*z - 5 - 1. Suppose 310 = 7*l - z*l. What is the remainder when l is divided by 16?
14
Let z = 63 - 38. Let j(r) = 2*r**3 - 2*r**2 + 3*r - 1. What is the remainder when z is divided by j(2)?
12
Suppose 3*a + 232 = -158. Let l be ((-196)/(-3))/((-98)/294). Let u = a - l. Calculate the remainder when u is divided by 17.
15
Suppose -8*g + 271 + 777 = 0. What is the remainder when g is divided by 44?
43
Calculate the remainder when (-15)/6*3/(15/(-164)) is divided by 18.
10
Suppose -n + 1547 = 5*z, 63*z + 301 = 64*z - 4*n. Calculate the remainder when z is divided by 10.
9
Let q = 67 - 97. Let j(x) = -4*x - 2. Calculate the remainder when ((-20)/q)/(3/171) is divided by j(-4).
10
Suppose 0 = 16*r - 43 - 85. Calculate the remainder when 262 is divided by r.
6
Suppose 2*t - 37 = -3*a, 3*t - 3*a + 4*a - 59 = 0. Calculate the remainder when t is divided by 11.
9
Suppose -4*o + 9*o - 6 = -4*j, -5 = -o + 3*j. Suppose l = o*l - 35. Calculate the remainder when l is divided by 30/3 - 4/(-2).
11
Let q = 24 + -13. What is the remainder when -111*(-3)/18*(17 - 13) is divided by q?
8
Let h(i) = -i**2 - 8*i + 3. Let m be h(-9). Calculate the remainder when ((-18)/(-10))/(m/(-70)) is divided by 8.
5
Suppose b + 5 = 3. Let h be (3 - 2/2)/b. Let t = h - -36. What is the remainder when t is divided by 12?
11
Suppose -3*r + 55 = 2*r. Let y = -352 - -393. Calculate the remainder when y is divided by r.
8
Suppose 2*n = -0*n + 12. Suppose -5*k = -4*h - 67, -4*h + 2*k - n*k - 40 = 0. Let y = h + 28. Calculate the remainder when 29 is divided by y.
14
Let y be 1 - ((-27)/3)/3. Suppose -228 = -y*q + 2*q. Calculate the remainder when q is divided by 58.
56
Suppose -v = 4*j + 78, -64 = 3*j - v - v. Let o = -14 - j. What is the remainder when 9/18 - 34/(-4) is divided by o?
3
Let k be ((-3)/(-1) + -1)/((-1)/(-38)). Calculate the remainder when 51 is divided by (1/2)/(2/k).
13
Let m = 507 + -473. What is the remainder when 135 is divided by m?
33
Suppose -s - 12 + 1 = 0. Let i = 13 + s. Calculate the remainder when 4 is divided by i.
0
Suppose 5*o - 394 = -3*r, -15*o + 20*o - 4*r - 373 = 0. Calculate the remainder when o is divided by (-1)/(-3) - 354/(-18).
17
Let i = -2897 + 2919. Calculate the remainder when 900 is divided by i.
20
Let o = -21 - -22. What is the remainder when 51 is divided by (-8)/2 + o - -21?
15
Suppose 14*w = 2*w + 372. What is the remainder when 340 is divided by w?
30
What is the remainder when 173 is divided by 9/27 - (-3)/((-9)/(-74))?
23
Suppose -f - 4 = -3*f. Suppose -2*a - f*a = -20. Suppose 0 = 18*r - 335 + 101. Calculate the remainder when r is divided by a.
3
Suppose 5*s - 71 = 249. Let w be (-2)/5 + 34/10 + -3. Suppose d + 76 - 98 = w. Calculate the remainder when s is divided by d.
20
Let p be 5*(6/(-2))/(-3). Suppose p*c = -2*t - t + 172, -t + 4*c = -29. Let u = -12 + 37. What is the remainder when t is divided by u?
24
Suppose 3*m = 6*m - 15. Suppose 4*q = m*q. Let u = q + 11. Calculate the remainder when 43 is divided by u.
10
Let a(w) = -w**3 + 8*w**2 + 35*w - 21. Calculate the remainder when a(10) is divided by 45.
39
Let z be 1 - (12/(-1))/(-4). Let o = -2 + 11. What is the remainder when -38*1/z + 4 is divided by o?
5
Suppose 4*u - 50 = -2*s, 5*s = 2*u - 6*u + 53. What is the remainder when 71 is divided by u?
11
Suppose 7*u + 440 = 2*u. Calculate the remainder when 41 is divided by -5*-3*u/(-60).
19
Calculate the remainder when 64 is divided by (3 - 1)/(2/22).
20
Let j be 39/(7/1 + -4). Let z(k) = -k**3 + 14*k**2 - 12*k - 8. Calculate the remainder when 5 is divided by z(j).
0
Let f(t) = -t**2 - 5*t - 4. Let r be f(-3). Suppose r*l + 2 = 12. Suppose -l = -b + 13. What is the remainder when b is divided by 5?
3
Suppose -2482 = -49*i + 2075. What is the remainder when i is divided by 8?
5
Suppose 212 = 6*r - 46. Calculate the remainder when r is divided by 9.
7
Let k = -14 - -22. Suppose 0 = -7*o + k*o - 37. What is the remainder when o is divided by 10?
7
Let v(i) = 4*i**2 - 2*i + 103. What is the remainder when v(6) is divided by 3?
1
Let q(y) = 2*y**2 + 32*y - 39. What is the remainder when q(-22) is divided by 35?
15
Suppose 0 = -3*x - 2*x + 390. Let i be ((-4)/(-12))/((-3)/27). Let m(g) = -2*g**3 - 4*g**2 - 2*g - 4. Calculate the remainder when x is divided by m(i).
18
Let a(j) = 19*j - 9. Suppose 46*n = -720 + 2054. What is the remainder when a(8) is divided by n?
27
Suppose -5*x + 4*i + 165 = 3*i, -i - 5 = 0. What is the remainder when 8/x*222 - 3/2 is divided by 8?
6
Let k(c) = -8*c + 131. Calculate the remainder when k(-23) is divided by 157.
1
Suppose 43 = 2*q + 7. Let j be q/4*(-20)/30. What is the remainder when 43 is divided by 22 - (-2)/(-6)*j?
20
Let l be 9/(-18) - (-81)/2. Suppose -110 = -7*g - l. Calculate the remainder when g is divided by 6.
4
Suppose 5*j = -4*g - 7, -3*j - 1 - 18 = -5*g. Let d = -49 + 86. Suppose d = g*u - u. Calculate the remainder when u is divided by 20.
17
What is the remainder when 235 is divided by (-9747)/(-81) - ((-15)/9 + 2)?
115
Let j = 51 - 30. Suppose -4*b = -2*n + 120, 447 = 5*n - 3*b + 140. Calculate the remainder when n is divided by j.
20
Suppose 5*d = 3*p + 1, 2*p + 0 + 2 = 4*d. Suppose q + 2 = 2*o, 5*q - d = o - 12. Suppose -2*u + 0*u + 22 = o. What is the remainder when 52 is divided by u?
8
Let d = -563 - -588. Calculate the remainder when 248 is divided by d.
23
Let y(r) = 14*r - 69. Suppose 8*p = -p + 54. What is the remainder when 102 is divided by y(p)?
12
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