2)/(-2) + -2). Calculate the remainder when 69 is divided by 30*x*(-1)/(-1 + 3).
9
Let y(a) = 2*a**3 - 169*a**2 + 84*a + 30. Calculate the remainder when 29/(((-3)/(-2))/3) is divided by y(84).
28
Suppose 535 = -2*n + 1695. Suppose -2*h + 218 = 2*t, -2*h + n = 5*t - 4*h. Let a = t + -44. What is the remainder when a is divided by 18?
16
Let f(n) = 3*n + 3 - 6 + 8 + 5*n**2 + 0*n**2. What is the remainder when 35 is divided by f(-2)?
16
Let t(x) = 12*x**2 - 2*x - 7. Let n = -6 + -2. Let z be -4 - ((1 - 0) + n). Calculate the remainder when t(z) is divided by 24.
23
Let d = -106 + 108. Suppose 3*p - 9 - 18 = 0. Suppose -s = -4*s + p. What is the remainder when s is divided by d?
1
Let m = 479 - 448. What is the remainder when 246 is divided by m?
29
Let w = -1031 - -1038. What is the remainder when 216 is divided by w?
6
Suppose 5*q - k = 190, 5*k + 116 = 3*q + 4*k. Let f = 14 - 12. Suppose 0*r + r - 28 = -f*s, -5*r = -4*s + 42. What is the remainder when q is divided by s?
11
Let t(k) = 3*k - 4 + 0 + 6 + 0*k. Suppose 0 = -2*m - 3*u + 137, 3*m = -0*m + 4*u + 248. Calculate the remainder when m is divided by t(8).
24
Calculate the remainder when 610/5 + 2 + 0/1 is divided by 9.
7
Let x = 460 - 403. Calculate the remainder when 75 is divided by x.
18
Suppose 2*r = -5*b + 66, r + 4*b = b + 32. Let l = -7 + 10. Suppose -224 = -5*q + l*q. What is the remainder when q is divided by r?
36
Suppose -4*h - 13 = -105. Let f = 33 - 29. Suppose f*b - 13 = -v, -3*v + h = -2*v - b. What is the remainder when 41 is divided by v?
20
Suppose 0 = 5*t - 94 - 46. Let a be (-28)/(-2) + 8 + -12. Suppose -a = -3*g + 2*g. Calculate the remainder when t is divided by g.
8
Let t be 6 - (-15)/((-20)/4). Suppose 50 = 2*r + t*r. What is the remainder when 2/(-4)*-4 - -37 is divided by r?
9
Let o be (-1)/(-2)*(6 + -6). Suppose -z + o*z = -15. Suppose -2*n = 3 - z. Calculate the remainder when n is divided by 2.
0
Suppose 0 = -x + 5*t + 81, -3*t - 176 - 295 = -5*x. Suppose x = 5*o + 3*o. What is the remainder when o is divided by 3?
0
Let s(t) = t**2 + 3*t - 3. Let x = 0 + -5. Let h = x - -7. Calculate the remainder when s(h) is divided by 3.
1
Let s be (-4 + -2)*4/(-6). Suppose 0 = -s*m - 16 - 4, -4*m = l + 2. Let g = 8 - 1. What is the remainder when l is divided by g?
4
Suppose -24 = -8*j + 2*j. Suppose -4*p = -5*k - 126, 3*p - j*k - 66 - 29 = 0. Calculate the remainder when 111 is divided by p.
24
Let r = 226 + -187. What is the remainder when r is divided by 8?
7
Suppose -12 = 2*m - 0. Suppose 5*h + 10 = 5*y, 30 = 5*h - 0*h + 5*y. Let z = h - m. What is the remainder when 38 is divided by z?
6
Suppose 1338 = 14*j - 1098. What is the remainder when j is divided by 61?
52
Suppose 9*w - 7*w - 26 = 0. Let s(h) be the second derivative of -h**3/6 + 19*h**2/2 + 2*h. What is the remainder when 9 is divided by s(w)?
3
Let x be (4/(-6))/(1/(-3)). Let j = x + 6. Suppose 5*m - 3*m + j = 0, -2*a - 5*m = -2. Calculate the remainder when 32 is divided by a.
10
Let g(q) = -2*q**2 + 13*q - 3. Let r be g(6). Let l = r - -12. What is the remainder when (43/(-2))/(2/(-4)) is divided by l?
13
Suppose 62 - 1917 = -5*d. Suppose 71*q - 368 - 4034 = 0. What is the remainder when d is divided by q?
61
Let o = -46 + 95. Calculate the remainder when 4*1 + 3 + 7 + 11 is divided by (-186)/(-14) - 14/o.
12
What is the remainder when 571 is divided by (-299)/92*(-1 + -15)?
51
Let q = -351 - -627. What is the remainder when q is divided by 20?
16
Calculate the remainder when 90 is divided by -60*(-54)/18*4/30.
18
Let y(x) = 4*x**2 - x**3 - 1 + 9*x + 4*x**2 - 3 - 2*x. Let g be y(7). Suppose -n - n + g = 0. Calculate the remainder when n is divided by 12.
11
Let f be 38/6 + 2/(-6). Let k(v) = -2*v + f - 2 - 1 + 0*v. Calculate the remainder when 26 is divided by k(-3).
8
Let q(j) = 15*j**2 + 17*j + 42. What is the remainder when q(-4) is divided by 54?
52
Suppose l - 110 - 92 = 0. Let g = -736 + 777. What is the remainder when l is divided by g?
38
Suppose -24 = -2*i + 4*i - 4*q, -3*q = -5*i - 25. Calculate the remainder when (-2)/(-4) - 82/(-4) is divided by 8/((6 + i)/4).
5
Suppose 10 + 10 = w. Calculate the remainder when w is divided by -1 + 33/21 + (-2847)/(-273).
9
Let z(a) = 4*a**3 - 1. Let f be z(-1). What is the remainder when 23 is divided by (-67)/(-5) - ((-2)/f + 0)?
10
Let b = 343 - 181. Let f = b + -94. What is the remainder when f is divided by 12?
8
Let n(c) = -c**3 + 2*c**2 + c. Let f be n(-1). Suppose -26 = -4*d - f*b, 4*d - 10 = -4*b + 18. What is the remainder when 16 is divided by d?
4
Suppose 9*w - 263 = 250. Let g(r) = 6*r - 4. What is the remainder when w is divided by g(4)?
17
Let o(v) = -v**3 + v**2 + v - 3. Calculate the remainder when o(-4) is divided by 38.
35
Let k(b) = -3 + 14 + 4*b - 3*b - 2*b. What is the remainder when 23 is divided by k(3)?
7
Let a(o) be the second derivative of o**5/20 + o**3/2 + 45*o**2/2 - 2*o. Calculate the remainder when a(0) is divided by 8.
5
Let b be 15/(-6)*20/(-25). Suppose -3*l + b*l = -50. Calculate the remainder when l is divided by ((-39)/(-9))/(1/3).
11
Suppose 4*y + 2*s - 102 = 0, -3*s = -3*y - 4*s + 76. What is the remainder when y is divided by 252/16 - 2/(-8)?
9
Let x be (-455)/(-143) - (-2)/(-11). Suppose b = x*b - 224. Calculate the remainder when b is divided by 38.
36
Suppose 25 = -4*j - h, 0 = 4*j - 9*j - 5*h - 35. Calculate the remainder when (-3)/j*34 - 3 is divided by 8.
6
Let s = 548 + -361. Calculate the remainder when s is divided by 47.
46
Let w = 12 - 66. What is the remainder when 134 is divided by (-4)/(-18) + (-723)/w*2?
26
Suppose 40*l = 42*l - 50. Suppose -l = -2*c - 3*p, -53 = -6*c + 2*c - 5*p. Suppose -f = 3*f - 24. What is the remainder when c is divided by f?
5
Let t = -72 - -112. Let x(i) = i - 3. Let y be x(6). Suppose -b = b - 10, y*b - 1 = g. Calculate the remainder when t is divided by g.
12
Let y = -29 + 34. Suppose y*t = -0*t - 3*q + 116, 2*t - 42 = q. What is the remainder when 87 is divided by t?
21
Suppose 0 = 2*s - 4*j - 578, -3*j + 855 + 279 = 4*s. Calculate the remainder when s is divided by 24.
21
Suppose -521 - 759 = -40*r. Suppose 4*d - 104 = 2*x - 4*x, 2*d = -5*x + 300. What is the remainder when x is divided by r?
30
Suppose 6*g - 35 = -g. Suppose -t = 3*k - 31, g*k = t + 3*t - 158. What is the remainder when t is divided by 19?
18
Suppose p - 5*p + 116 = 0. Suppose 3*o - 13 - p = 0. Let q = 68 + -41. What is the remainder when q is divided by o?
13
Suppose 40*j - 2*j - 1254 = 0. Calculate the remainder when 380 is divided by j.
17
Suppose -60 = y + 4*y. Let k = -934 + 955. Let u = y + k. What is the remainder when 14 is divided by u?
5
Suppose -720 + 2878 = 13*y. What is the remainder when y is divided by 6?
4
Suppose -4*b + 2*g + 884 = 0, 2*g + 20 = 7*g. What is the remainder when b is divided by 9?
7
Suppose -98 = -6*w + w - 4*p, 0 = 4*w - 2*p - 94. Let j be 54/((-2)/(-4) - 2). Calculate the remainder when w is divided by (j/8)/(3 + 27/(-8)).
10
Let u(k) = 23*k + 73. Calculate the remainder when u(0) is divided by 28.
17
Suppose 0 = 9*n - 8*n + g - 14, -g + 1 = 0. Calculate the remainder when 363 is divided by n.
12
Let s = -176 + 307. Calculate the remainder when s is divided by 34.
29
Suppose 2*o + 2*g = 62, o + 4*o + g - 135 = 0. Calculate the remainder when (-20)/(-7)*(-315)/(-18) is divided by o.
24
Let t(k) = -k**3 + 6*k**2 + k - 7. Suppose 0 = 3*i - 28 - 17. Suppose -4*c + c + i = 0. Calculate the remainder when t(c) is divided by 6.
5
Let h(j) = -j**3 + j**2 + 8*j - 3. Let d = -3 - -8. Let m be h(d). Let t = m + 114. Calculate the remainder when t is divided by 13.
12
Let f(p) = p**3 + 44*p**2 - 92*p + 36. What is the remainder when 935 is divided by f(-46)?
35
Let t(p) = -2*p**2 - 2*p**2 + 13 - 14*p + 6*p**2 - 5. Calculate the remainder when t(9) is divided by 16.
12
Let w(q) = q**2 - 3*q + 1. Suppose 7*t + 132 = 10*t. What is the remainder when t is divided by w(4)?
4
Suppose 41*a + 60 = 42*a. Suppose 4*n = -2*p + 222, 5*n - 4*n - a = -2*p. What is the remainder when n is divided by 8?
6
Suppose -906 = -23*m + 106. What is the remainder when 98 is divided by m?
10
Let q be 3 - -3 - (0 + 2). Suppose q*n - 12 = n. Let o = -12 + 21. Calculate the remainder when o is divided by n.
1
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