ed by b.
12
What is the remainder when ((-14)/(-3))/7*(196 + 2) is divided by 27?
24
Suppose 10 = 30*k - 28*k. Let g be 2 - (1 + -1 + -1). Suppose -j - g*c = -k*j + 47, -5*c - 41 = -4*j. What is the remainder when 54 is divided by j?
12
Let o(x) = 2*x**3 + 22. Let s be o(0). Let c = 12 + s. Let j(r) = 2*r**2 - r + 3. Calculate the remainder when c is divided by j(3).
16
Suppose -5*x - 4*a + 2 = 4, 4*x - 3*a = 17. Suppose -42 = -f - 2*s + 14, -3*s - 119 = -x*f. Calculate the remainder when f is divided by 30.
28
Suppose 21645 = 45*y - 25920. Calculate the remainder when y is divided by 53.
50
Suppose 51 = 2*q + 3*s, 5*s - 23 = -q + 4*s. Calculate the remainder when 34 is divided by q.
16
Let c = 1408 - 1396. Suppose 2*v = -2*v + 24. Calculate the remainder when c is divided by v.
0
Suppose -3*o - 19 = 5*p - 169, 4*p = 3*o + 147. Suppose -g = -p - 8. Calculate the remainder when g is divided by 15.
11
Let w(z) = z**2 + 7*z - 15. Let x(c) = 2*c**2 + 7 - 8 - c**2 - 4*c. What is the remainder when w(-10) is divided by x(5)?
3
Suppose 0 = -60*t + 59*t - b + 9, 2*b - 60 = -5*t. Suppose -4*s + 225 = -51. Calculate the remainder when s is divided by t.
13
Let l = 0 - 8. Let y = l + 13. Suppose -3*v = -2*q - 74, -5*v - 42 + 157 = y*q. Calculate the remainder when 94 is divided by v.
22
Suppose -2*o = -2*p - 18, 0 = -0*o + 4*o - 5*p - 39. Suppose -90 = -o*x + 5*x. Suppose -a - 4*a = -x. What is the remainder when a is divided by 5?
3
Let h = 31 + 6. Let v be (3 + (-12)/3)*-51. Suppose 0 = -g + u + 14, -2*g - u = 2*g - v. Calculate the remainder when h is divided by g.
11
Let r = -414 + 446. Calculate the remainder when 117 is divided by r.
21
Suppose -10*h + 166 = -4. Let w = h + 25. Calculate the remainder when w is divided by 22.
20
Let m(u) be the second derivative of u**4/12 + 27*u**2 - 3*u. Let v be m(0). Suppose v - 286 = -4*c. Calculate the remainder when c is divided by 20.
18
Let h(z) = 9*z - 2. Let v be h(8). Let s = v + 6. Calculate the remainder when s is divided by 11.
10
Suppose -9*i - 342 = -15*i. What is the remainder when i is divided by 7?
1
Suppose 5*n - 82 = -3*u, 0 = 2*n + u - 39 + 7. What is the remainder when 27 is divided by n?
13
Suppose v - 5 = -0. Suppose 4*d = r + 1, 2 - 4 = 2*r + v*d. What is the remainder when 17 is divided by r/(-6)*15*2?
2
Suppose 2*f + f = -v + 19, f = -5*v + 81. Let t be (1 - (-2 - -1)) + 7. Let r = v - t. What is the remainder when 19 is divided by r?
5
Let i = -25 - -42. Suppose 3*d + i + 7 = g, -g - 4*d = 11. Suppose 0 = 2*v - 3*v + t + 14, -3*t = -2*v + 27. Calculate the remainder when v is divided by g.
6
Let m = 85 + -49. Calculate the remainder when m is divided by 13.
10
Let b = -47 + 47. Suppose b = y - 5*y + 48. What is the remainder when y is divided by 6?
0
Suppose p + 0*p = 5*v + 53, -52 = 4*v - 4*p. Calculate the remainder when 44 is divided by (-118)/v - 14/(-70).
8
Let u = -1225 - -1277. Calculate the remainder when u is divided by 44.
8
Suppose 3*v = -2*p - 26, 0 = -5*v + 3*p + 2*p - 85. What is the remainder when 2/1*(-114)/v + -4 is divided by 9?
6
Let w = -3 + 7. Suppose 2*l - 112 = -4*q - 2*l, w*q = 4*l + 136. Let k(z) = -5*z + 204. Calculate the remainder when k(10) is divided by q.
30
Calculate the remainder when 1/(-9)*2 + (-156928)/(-1152) is divided by 76.
60
Let h = 164 + -92. Let x = h + 77. Calculate the remainder when x is divided by 30.
29
Let u(t) = -4*t**3 - 9*t**2 + 19*t + 33. Calculate the remainder when u(-6) is divided by 33.
30
Suppose -27 - 31 = -3*m - 4*q, 3*q + 15 = 0. Suppose 4*g - g - 53 = y, -m = -g + 2*y. What is the remainder when 59 is divided by g?
11
Suppose 5*s = 15, 0 = 2*f + 4*s - 124 - 222. Suppose 5*p - f = 78. Calculate the remainder when p is divided by 13.
10
Suppose 5*l - 2*o = -3 + 114, 4*l - 96 = 4*o. What is the remainder when 503 is divided by l?
20
Let u(v) = v - 10 - 17 + 0*v - 4*v. Let q = -1 - -4. What is the remainder when u(-10) is divided by q?
0
Let f(c) = 9*c - 7*c - c + 9. Let o = -60 - -102. Calculate the remainder when o is divided by f(13).
20
Let a = 9 - 4. Suppose -4*w + 3*l = -7*w + 33, -2*w - a*l + 7 = 0. What is the remainder when w is divided by 6?
4
Suppose -w = -5*t + 5 + 3, -5*t = -5*w. Suppose -90 = -t*v + 168. Calculate the remainder when v is divided by 33.
30
Let s(g) = g**3 - 8*g**2 - 4*g - 11. Suppose 0 = -6*n + 50 + 4. What is the remainder when s(n) is divided by 13?
8
Let v be 3 + -2 + 2 + -2. Let a(l) = -53*l**3 + l**2 - l + 1. Let q be a(v). Let c = -30 - q. What is the remainder when 42 is divided by c?
20
Let u(d) = -d**3 + d**2 - d + 13. Let n(h) = h**3 - 11*h**2 - h + 11. Let x be n(11). Calculate the remainder when u(x) is divided by 9.
4
Let p be (-16)/4 - 0 - -66. Let m = p - 14. What is the remainder when m is divided by 13?
9
Suppose 63*y - 71*y + 104 = 0. What is the remainder when 38 is divided by y?
12
Suppose 0 = -0*i - 2*i. Suppose i = 8*x - 3*x + 10, -21 = -q + 4*x. What is the remainder when 24 is divided by q?
11
Let p(t) = t + 4. Let c(r) = 3 - 1 + 5 - 5 + r. Let a(j) = 5*c(j) - 2*p(j). Calculate the remainder when 24 is divided by a(4).
10
Suppose 0 = -6*g - 59 - 37. Let u(s) = -s**3 + 6*s**2 + s - 4. Calculate the remainder when 5/20 - 1596/g is divided by u(5).
22
Let v be 0/(-1) + 9/3. Let d be (v/9)/(1/423). What is the remainder when 6/(-2) + d/3 is divided by 15?
14
Let d = -24 - -22. What is the remainder when 69 is divided by d - ((-13 - -1) + -4)?
13
Suppose 0 = -4*r + 8, 3*k - 5*r - 114 = -2*r. What is the remainder when k is divided by 16?
8
Let w = -501 + 991. What is the remainder when w is divided by 16?
10
Suppose -g - 276 = -3*z, z + z = -4*g + 170. Let f = z - 80. Calculate the remainder when 49 is divided by f.
5
Suppose -2*u - 2*h + 40 = 0, 4*u + h = 4*h + 52. Let g(z) = z**2 + 9*z - 4. Calculate the remainder when u is divided by g(-10).
4
Let a(k) = -k**3 + 8*k**2 - 6*k - 7. Let c be a(7). Suppose c = m, -170 = -5*z - 5*m + 2*m. Calculate the remainder when 67 is divided by z.
33
Let k = -2 + 4. What is the remainder when (1*(1 + -6))/(-1) is divided by k?
1
Suppose -15*v + 10564 = 23*v. Calculate the remainder when v is divided by 14.
12
Let j = 2244 - 2158. What is the remainder when j is divided by 24?
14
Suppose 5*p - 3*p = 8. Suppose 4*t - p*a = 5*t - 13, 4*t + 3*a - 39 = 0. Suppose 0*v = -v + 26. Calculate the remainder when v is divided by t.
8
Let x(g) = g - 84. Let b be x(27). Let t = -49 - b. Calculate the remainder when 19 is divided by t.
3
Suppose -4*k = -16*d + 19*d - 166, 0 = d - 2*k - 72. What is the remainder when 174 is divided by d?
50
Suppose 25 = 2*g - 37. Let o be 59/7 - 44/(-77). Suppose -w + 2 = -o. What is the remainder when g is divided by w?
9
Suppose 6*h - 6 = 3*h - 3*z, 4*h = -z - 4. Let p(j) = -78*j - 3. Let t be p(h). Suppose -t = -4*v - 13. What is the remainder when 103 is divided by v?
33
Let g = -54 - -57. Suppose -2*d = 4*f - 4, -d = g*f - 2 + 4. Calculate the remainder when 18 is divided by d.
8
Let d = 637 - 610. What is the remainder when 808 is divided by d?
25
What is the remainder when (-7 - -3)*-1*10 is divided by 37?
3
Suppose 0 = 6*c - c - 110. Let f(g) = -13*g + 112. Calculate the remainder when f(2) is divided by c.
20
Let x be (-1)/(-3)*21*6. Suppose -x*i + 40*i + 30 = 0. What is the remainder when 22 is divided by i?
7
Suppose -4*u = -17 + 5. Suppose -6*m + 11*m + c = 147, u*c = m - 39. Calculate the remainder when 58 is divided by m.
28
Suppose -11*q + 7*q + 32 = 0. Suppose -3*t + 49 = -q. What is the remainder when t is divided by 8?
3
Let n(r) = -r**2 - r + 27. Let b be n(0). Let v = 40 - b. Let u(y) = 4*y**2 - 15. Calculate the remainder when u(4) is divided by v.
10
Suppose i - 16 = 5*u - u, 4*u = 4*i - 16. Let n = u + 7. Suppose -k - n*k + 112 = 0. Calculate the remainder when k is divided by 5.
3
Let u = 153 + -132. What is the remainder when 38 is divided by u?
17
Let q(m) = -3*m**3 - m**2 + 2*m - 1. Let p be q(1). Let i = 24 + p. Calculate the remainder when i is divided by 6/4*2 - -9.
9
Let t(j) = -3*j - 8. Let y be t(-4). Let b be 1 - (1 + (1 - y)). Suppose -16 - 47 = -b*p. What is the remainder when p is divided by 11?
10
Suppose 4*z - 389 = 243. What is the remainder when z is divided by 3/(-9)*-1*69?
20
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