emainder when 40 is divided by w.
7
Let m = 14 - 0. Let j = -1 - -4. Suppose 3*s - 80 = -2*q + s, 0 = -j*q + 5*s + 120. Calculate the remainder when q is divided by m.
12
Suppose -3*x - 5*r + 33 = 0, 11*x = 8*x + 5*r + 63. Calculate the remainder when x is divided by 14.
2
Let w(s) = 8*s - 39. Let g(l) = -9*l + 39. Let x(m) = 4*g(m) + 5*w(m). Calculate the remainder when x(12) is divided by 3.
0
Let g = 645 + -515. Calculate the remainder when g is divided by 37.
19
Let c = -40 - -61. What is the remainder when (4/1 + -128)/((-6)/3) is divided by c?
20
Suppose -4*z - 2*k + 4 = -30, -3*k + 3 = -2*z. Suppose -s + z*s - 65 = 0. Calculate the remainder when 38 is divided by s.
12
Let b = 25 + -11. Let c = b + -8. Suppose 3*s + c*m = 2*m + 140, 135 = 4*s - 5*m. Calculate the remainder when s is divided by 14.
12
Suppose -3*y + 12 + 3 = 0. Suppose -3*v + 9 = 3*x, -v - 3*v + 5 = -3*x. Suppose v*q + 85 = 7*q. What is the remainder when q is divided by y?
2
Calculate the remainder when 76 is divided by 11/((-55)/(-30)) - -7.
11
Let t = 1101 - 1076. Let b be (-584)/(-6) + 4/6. What is the remainder when -1*6*b/(-6) is divided by t?
23
Let n = 716 + 127. Calculate the remainder when n is divided by 18.
15
Let k(o) = -3*o**3 + o**2 + 5*o + 2. Let w be k(-3). Let c = 36 + 7. What is the remainder when c is divided by (w/(-35))/(1/(-5))?
10
Let o(l) = 14*l**2 - 2*l. Let d be o(8). What is the remainder when 26/182 + d/14 is divided by 22?
19
Suppose o + 5*d = 33 - 6, 108 = 4*o - 4*d. Calculate the remainder when -14*((-66)/8 - -8)*22 is divided by o.
23
Let x(r) = -r**3 - 3*r**2 - 3*r - 2. Let v be x(-2). Suppose 4*j - 109 = s, v*j - 4*s = j - 23. Calculate the remainder when 106 is divided by j.
25
Let s = 775 + -694. What is the remainder when 233 is divided by s?
71
Let h = 24 - 13. Let i = 58 - 172. What is the remainder when h is divided by (-12)/28 + i/(-21)?
1
Let k(c) = 4*c - 19*c + 12 - 6. Let h(l) = -l + 1. Let a(z) = -h(z) + k(z). Calculate the remainder when a(-6) is divided by 13.
11
Suppose -g - 3*d = -4, -2*g - 7 = -2*d + 9. Calculate the remainder when (((-10)/(-3))/g)/(2/(-51)) is divided by 5/((-6)/(-4) + -1).
7
Calculate the remainder when 49938/168 + (-1)/(4 + 0) is divided by 76.
69
Let v(b) = b**2 + b + 13. Let s be v(0). Let a = -4 + s. Suppose 0 = 4*o + 4*u - 48, 5*u + 1 = 5*o - a. What is the remainder when o is divided by 4?
3
Calculate the remainder when 96 is divided by 15/(3/(-60)*-15).
16
What is the remainder when 236 is divided by (-12)/(1 + 3) + (-444)/(-12)?
32
Suppose -5*h + 188 = 4*t, -5*t + 188 = -t - 3*h. Calculate the remainder when t is divided by 1.
0
Suppose 7*h - 8*h + 9 = 0. Suppose 104 = 4*y - h*j + 5*j, 0 = y + 5*j - 32. Calculate the remainder when y is divided by (-16)/(-56) - (-136)/14.
7
Let n(x) = -x**2 + 22*x - 29. What is the remainder when 38 is divided by n(20)?
5
Suppose -b = -5*m - 18, 3*b = 4*b + 3*m + 6. Suppose 167*z - 198 = 145*z. What is the remainder when 5*b*(-10)/(-6) is divided by z?
7
Let l(m) = 16*m - 45. What is the remainder when 75 is divided by l(4)?
18
Suppose 10 = 6*m - m, 4*f - 4*m - 92 = 0. Calculate the remainder when 10 is divided by (-5)/(f/(-10)) + 2.
2
What is the remainder when ((-2)/(-3))/((-2)/(-78)) is divided by 9/6*(-140)/(-15)?
12
Let i(y) = 15*y. Let m(w) = -14*w + 2. Calculate the remainder when i(2) is divided by m(-1).
14
Let u(y) = y - 2. Let w be u(4). Let r be 62 + w*(-1)/2. Suppose 0 = -4*v + 19 + r. Calculate the remainder when 57 is divided by v.
17
What is the remainder when 21/28*158/(-3)*-38 is divided by 35?
31
Let q(z) = -26*z - 1. Let w = 50 + -23. Calculate the remainder when q(-2) is divided by w.
24
Let g = -30 + 31. Calculate the remainder when 2 + g + -1 + 38 is divided by (13 + (-6)/3)/1.
7
Let h(a) be the second derivative of a**5/20 - 2*a**4/3 + a**3/3 + 3*a**2 - 3*a. What is the remainder when h(8) is divided by (6/8)/(4/32)?
4
Let r(x) = -x**3 + 5*x**2 + 10*x - 8. Calculate the remainder when r(6) is divided by 8.
0
Let d = -272 + 292. Calculate the remainder when 186 is divided by d.
6
Let z = 12 + -12. Suppose z*n = n + 10. What is the remainder when 5/n*4*-6 is divided by 7?
5
Calculate the remainder when ((-188)/282)/((-2)/414) is divided by 29.
22
Let a = -578 + 591. Calculate the remainder when 29 is divided by a.
3
Suppose -1135 = -5*b - 3*r, -b + 7*r + 204 = 3*r. Suppose o = 3*p + 22 + 34, -b = -4*o - p. Let m = -3 - -22. What is the remainder when o is divided by m?
18
Suppose -2*w + 2*q + 80 = 0, w + 4*q - 15 = 10. What is the remainder when 104 is divided by w?
30
Let d(v) = -2*v - 10. Suppose -2*o = 2*f + 14, -f - 2*o - 3*o + 1 = 0. Let y be d(f). Let g(x) = x + 7. What is the remainder when g(y) is divided by 6?
3
Let d(f) = -85*f + 519. What is the remainder when 162 is divided by d(6)?
0
Suppose 21*w - 84*w = -1890. Calculate the remainder when 317 is divided by w.
17
Let z = 7 - -3. Suppose -z = -5*l - 5*g, l - 2*l = 5*g - 6. What is the remainder when (-2 - -4)*(-3)/(-2) is divided by l?
0
Let g = 392 - 352. What is the remainder when 72 is divided by g?
32
Suppose -2685*b + 1809 = -2676*b. Calculate the remainder when b is divided by 32.
9
Let m(i) = 5*i**2 - 2*i - 2. Let n be m(-2). Let s = n + -22. Suppose 27 = 2*u - 5*b, -u - 4*b + s = 6. Calculate the remainder when 16 is divided by u.
4
Let t(j) = -9*j**2 - 6*j - 6. Let g be t(-5). What is the remainder when ((-3)/9*3)/(3/g) is divided by 23?
21
Suppose 0 = 4*f, p + 2 - 19 = -2*f. Calculate the remainder when p is divided by ((-4)/7)/((-18)/63).
1
Suppose -15*h + 8*h + 203 = 0. Calculate the remainder when 83 is divided by h.
25
Suppose 2*i - 20 = 88. Suppose 0*w = w. Suppose g = 14 - w. What is the remainder when i is divided by g?
12
Suppose 38*i - 2291 = 977. What is the remainder when i is divided by 44?
42
Let y = -89 + 175. Suppose 2*o + 2*o - y = 2*q, 0 = -2*o - 5*q + 73. Suppose 0 = 3*t - 2*t - 5. What is the remainder when o is divided by t?
4
Let t = 47 - 43. What is the remainder when (-4)/t*(3 - 18) is divided by 9?
6
Suppose 0 = 6*v - 11*v + 90. What is the remainder when 65 is divided by v?
11
Suppose -3*s + s - 4*l + 252 = 0, -3*l + 130 = s. Suppose -54 - s = -4*o. Calculate the remainder when o is divided by 11.
10
Let q = 52 + -43. Calculate the remainder when 33 is divided by q.
6
Suppose 60*g = 3028 - 268. What is the remainder when 413 is divided by g?
45
Suppose -46*i = -43*i - 240. What is the remainder when 315 is divided by i?
75
Let r = 4 - 2. Suppose 4*i + 6*i = -10. Calculate the remainder when (0 - 5 - -3)*i is divided by r.
0
Let x(o) be the second derivative of 1/12*o**4 - 5/2*o**2 + o - 1/6*o**3 + 0. Calculate the remainder when x(-4) is divided by 4.
3
Suppose -15*f + 9024 = 32*f. Calculate the remainder when f is divided by 37.
7
Let d(v) be the third derivative of v**5/60 - v**4/8 + v**3/2 + 14*v**2. What is the remainder when 6 is divided by d(3)?
0
Let b(n) = -2*n - 3. Suppose 9 = 2*g + 2*g - 5*w, 4*w = 4*g - 12. Let m be b(g). Let l = m - -20. What is the remainder when 12 is divided by l?
2
Let z = 64 + -58. What is the remainder when 65 is divided by z?
5
Suppose 24*r = -2*i + 23*r + 16, 0 = i - r - 11. Suppose w + 4 = c, -c = 2*w - 1 - 6. What is the remainder when i is divided by c?
4
Suppose -21*h + 212 = -460. Let a(d) = -7*d + 4. What is the remainder when h is divided by a(-3)?
7
Suppose c = -3*r + 191, 5*c = r + 10*c - 73. Calculate the remainder when 241 is divided by r.
52
Let x = -4 - 33. What is the remainder when 44 is divided by 4/(-24) - x/6?
2
Let g = 542 - 506. Suppose c + 20 = -41. Let j = -42 - c. Calculate the remainder when g is divided by j.
17
Suppose -5*a - 50 = -2*o, o + 3*a - 2 - 34 = 0. Calculate the remainder when 103 is divided by o.
13
Suppose 0 = 4*m + 3*s + 30, 0 = -2*m + 4*m + 5*s + 8. Let b be 191/m - 4/(-18). What is the remainder when 17 is divided by 4/(-2) - b/3?
2
Let g(s) = s**2 - 7*s - 6. Let x be g(4). Let l = x + 52. Calculate the remainder when l is divided by 13.
8
Let o(c) = 77*c - 1. Let z(f) = -5*f - 159. What is the remainder when o(1) is divided by z(-35)?
12
Let c(h) = -h**2 + 8*h - 4. Let x be c(7). Suppose 0 = 3*p - x - 21. What is the remainder when 14 is divided by p?
6
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