late the remainder when 106 is divided by f.
18
Let w = 193 - 114. What is the remainder when w is divided by 23?
10
Let a(w) = -15*w**3 - 4*w**2 - 6*w - 3. Let m(q) = q + 9. Let u be m(-11). Calculate the remainder when a(u) is divided by 23.
21
Suppose 5*w = 1553 + 897. Suppose -8*r + 3*r + w = 0. What is the remainder when r is divided by 20?
18
Let s = -17 + 19. Suppose 3*c = -s*m + 24 + 21, -3*c = -4*m - 63. Calculate the remainder when 39 is divided by c.
5
Let m(p) = -p**3 - p**2. Let v be m(-2). What is the remainder when 34 is divided by v/(-5) - 768/(-60)?
10
Let y = 684 - 665. Calculate the remainder when 54 is divided by y.
16
Let g be 416/(-6) + 8/24. Let b = -46 - g. Calculate the remainder when b is divided by 3 - (-1 - (9 - 5)).
7
Let z(x) = x**3 + x**2 - 1. Let j = 8 + -1. Suppose -g + 9 = w, -4*w - 1 + j = -2*g. What is the remainder when z(2) is divided by w?
3
Let n = -395 - -411. What is the remainder when 268 is divided by n?
12
Suppose v = -0*v + 3. Suppose 77 = 3*k + v*j - 8*j, -3*j = -3*k + 81. Calculate the remainder when k is divided by (-15 - 0)*(1 + -2).
14
Calculate the remainder when 243 is divided by (6/(-9) - -2)*(-66)/(-4).
1
Let s(j) be the first derivative of 2*j**3/3 + 2*j**2 - j + 33. Calculate the remainder when s(-4) is divided by 6.
3
Let n = 8 + -5. Suppose -n*t + 8*t = -10. What is the remainder when (100/8)/((-1)/t) is divided by 9?
7
Let z(n) = n**3 + 16*n**2 + 5*n - 96. What is the remainder when z(-14) is divided by 39?
31
Let h(w) = w**3 + 5*w**2 - 7*w - 8. Let z be h(-6). Let c be 26 - ((z - -1) + 3). Let k = -13 + c. Calculate the remainder when 30 is divided by k.
8
Let t = 85 - 20. What is the remainder when 12/(-4 - -1) + t is divided by 8?
5
Let z be (5/10)/((-3)/384) + 0. What is the remainder when (-2)/8 - 24/z*166 is divided by 16?
14
Let b = 75 - 54. What is the remainder when 55 is divided by b?
13
Let g(y) = -y**2 + 6*y. Let u be g(7). Let z = -2 - u. Let s(r) = -r**3 - 23*r**2 + 26*r - 573. What is the remainder when s(-25) is divided by z?
2
Suppose -41*g + 44*g = 2154. Calculate the remainder when g is divided by 12.
10
Let o(u) = -12*u + 50. Let s be o(4). Calculate the remainder when 34 is divided by 0 + 855/165 + s/(-11).
4
Suppose -3*k + 37 = -5*g, 5*g - g = -k - 16. Calculate the remainder when k*(-3)/(-6) + 17 is divided by 11.
8
Let p = 10 - 2. Let v = -29 + 29. Suppose v = 3*h - p - 64. What is the remainder when h is divided by 14?
10
Suppose -2*j + 3 + 3 = 0. Suppose j*x - 21 = -0*x. Calculate the remainder when x is divided by (4 - 7)*(-10)/6.
2
Suppose 6*y = 239 - 77. Calculate the remainder when 48 is divided by y.
21
Let u = 59 + -57. Suppose 3*r - 48 = -3*q, q - 4*q + 46 = u*r. What is the remainder when 28 is divided by q?
0
Suppose 74 = 6*k - 4*k - 5*u, 97 = 3*k - 4*u. What is the remainder when 208 is divided by k?
19
Let q(z) = z**2. What is the remainder when 65 is divided by q(4)?
1
Suppose 3*a + 42 = -0*q - 3*q, 2*a = -4*q - 32. Let z be (-3)/a - (-52)/(-16). Calculate the remainder when 32 is divided by z/5 - (-189)/15.
8
Let o(t) = t**2 - 13*t + 7. Suppose 0*y - 2*y + 3*n + 23 = 0, -62 = -5*y + 3*n. Calculate the remainder when 26 is divided by o(y).
5
Suppose i - 4*i - 24 = 0. Let l = i - -79. Calculate the remainder when l is divided by 37.
34
Let q(x) = -2*x - 24. Let z be q(-12). Suppose 0 = -3*o - z*m + 2*m + 133, o = m + 44. Calculate the remainder when o is divided by -1*(-1 + 1) - -16.
13
Let c(n) = 2*n**2 - 3. Let r be c(-7). Let j = r + -9. Calculate the remainder when j is divided by 29.
28
Suppose -658 = -4*i + 2*b, -b = -13*i + 8*i + 827. Calculate the remainder when i is divided by 43.
37
Suppose 0 = -7*a + 37 - 65. What is the remainder when 63 is divided by (2 + 0)/(4*a/(-280))?
28
Let d be 8/32*(-5 - -1). Let u = d + 22. Let q = u + 14. What is the remainder when q is divided by 12?
11
What is the remainder when 765 is divided by -15 - 168/(-14) - (-18 - -2)?
11
Let x(q) = -4*q**2 - 116*q + 6. What is the remainder when x(-15) is divided by 77?
76
Suppose 0 = -l - 7. Let t(b) = b**2 + 7*b - 5. Let o be t(l). Let m(g) = -2*g - 6. What is the remainder when m(o) is divided by 3?
1
Suppose -1475 = -47*k + 42*k. What is the remainder when k is divided by 27?
25
Let v = -2396 + 5889. What is the remainder when v is divided by 15?
13
Let u = 2 - 1. Let a(j) = 30 - 54 + 23 + 13*j. Calculate the remainder when 45 is divided by a(u).
9
Suppose 10*q - 830 - 140 = 0. Calculate the remainder when q is divided by 10.
7
Let z(j) = 2*j**3 - 3*j**2 + 3. Let n be z(4). Suppose -4*c = -7*c - t + n, 5*c - 145 = 5*t. What is the remainder when 110 is divided by c?
26
Suppose 309 + 131 = 11*q. What is the remainder when 357 is divided by q?
37
Let y(r) = -202*r - 2. Let w be y(-1). Suppose 5*z = z + w. Suppose -5 = 5*o - z. What is the remainder when o is divided by 6?
3
Let i(a) = a**3 + 10*a**2 + 2*a + 10. Calculate the remainder when 63 is divided by i(0).
3
Suppose -q + 3*d + 21 = 0, -5*q + 2*d + d + 57 = 0. Suppose 0 = -2*j + 8, -4*u - 4*j + q*j + 36 = 0. What is the remainder when 97 is divided by u?
13
Suppose u = -2*d + 6*u - 25, 2 = 2*d + 4*u. Let t = d - 4. Calculate the remainder when 10/(-15) - 24/t is divided by 1.
0
Let b be 2/(0 + 1/2). Suppose -20 = -b*q, g + 3*g + 3*q - 471 = 0. Suppose 4*t - g = -r, 5*t - 114 = 3*r + 37. What is the remainder when t is divided by 10?
9
Let i = 13 + -13. Suppose 4*p + 2*z - 10 = i, -p + 4 = -0*p - z. Let j(s) = 2*s - 22. What is the remainder when j(16) is divided by p?
1
What is the remainder when (18/(-27) + (-3398)/(-12))*2 is divided by 21?
19
Let h(l) = 8*l**2 + 10*l + 17. Let v(r) = -3*r**2 - 3*r - 6. Let k(f) = 4*h(f) + 11*v(f). What is the remainder when 23 is divided by k(6)?
7
Let o(y) = y + 12. Let g be o(-9). What is the remainder when 49 is divided by g/1 - (-11)/2*2?
7
Suppose 1788 = 4*u + 4*o, 0 = -3*o + 30 - 27. Calculate the remainder when u is divided by 56.
54
Let s(m) = -m**3 - 5*m**2 + 2*m + 11. Let d(l) = 3*l**3 + 9*l**2 - 4*l - 23. Let r(w) = -2*d(w) - 5*s(w). Calculate the remainder when 107 is divided by r(4).
14
Suppose 9*k = 22 + 14. Suppose 5*a + 3*i - 72 = 0, -4*a + 68 = -k*i + 9*i. Calculate the remainder when 21 is divided by a.
9
Let c(v) = 12*v - 4. Let g(o) = 4*o - 1. Let r(q) = -3*c(q) + 8*g(q). Suppose 6*j - 23 - 43 = 0. Calculate the remainder when r(-7) is divided by j.
10
Let z = -29 + 33. Let y(j) = j**3 - 3*j**2 + 2*j + 9. Calculate the remainder when y(z) is divided by 6.
3
Let p = 311 + -195. Let d = 29 + 11. What is the remainder when p is divided by d?
36
Let m(s) = 83*s + 21. Calculate the remainder when m(13) is divided by 23.
19
Let p(u) = 3 + 2 - 7*u**2 - u**3 + 0*u - u. Let y be p(-7). Suppose -3*i + y = -30. What is the remainder when 55 is divided by i?
13
Suppose -6*o + 33 = -9. Suppose 0 = 10*f - o*f - 15. What is the remainder when 18 is divided by f?
3
Suppose 10*u = 269 + 361. Calculate the remainder when u is divided by 20.
3
Let c be 4/6 - (-5 + 6/(-18)). Suppose 11*b = c*b + 25. Let l(d) = d**2 - 5*d + 4. Calculate the remainder when b is divided by l(5).
1
Let s = -11 - -14. Let m be (-12)/(s/4 - 0). Calculate the remainder when m/56 - (-130)/14 is divided by 4.
1
Suppose -150 + 1130 = 4*q. What is the remainder when q is divided by 37?
23
Suppose 4*t + t = 75. Suppose -t = -2*j - j + 2*z, 4*z = -4*j. Calculate the remainder when 10 is divided by j.
1
Let o be 8 + -4 + (1 - 2). Suppose -4*t + 118 = -o*b, -4*t - 2*b - 16 + 124 = 0. Suppose -f - f = -t. Calculate the remainder when 53 is divided by f.
11
Suppose -3*i = 4*q - 305, -4*i - i + 487 = -4*q. Suppose -100 = 9*s - 11*s. Suppose 32*m - s = 30*m. What is the remainder when i is divided by m?
24
Let f(t) = -t**3 + 4*t**2 + 2*t + 30. Let k be f(6). Let o = k + 40. Calculate the remainder when 19 is divided by o.
9
Let k(o) = -5*o - 7. Let n be k(-2). Suppose n*d + y = 339 - 75, -5*y = d - 88. Calculate the remainder when d is divided by 18.
16
Calculate the remainder when 39 is divided by (23/69)/(1 - (-64)/(-66)).
6
Let q be (-8)/(-4)*-2*(-1)/4. What is the remainder when 75 is divided by q/(-2) + 53/2?
23
Let d = -866 + 907. Let m = -17 - -28. What is the remainder when d is divided by m?
8
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