 remainder when b is divided by x.
0
Let f(r) = r**2 - 8*r + 12. Let k be f(9). Let j = 86 + -52. Let x = j - k. What is the remainder when 51 is divided by x?
12
Suppose 179 + 109 = 9*y. What is the remainder when 53 is divided by y?
21
Let f = -35 - -65. Calculate the remainder when 89 is divided by f.
29
Let m be 5 - (-8)/(-2) - 22. Let i = m - -63. What is the remainder when i is divided by 15?
12
Suppose 2*v = 5*z, -3*z = 5*v - v. Calculate the remainder when 122/(-8)*(z + -4) is divided by 21.
19
Let f(h) = 19*h**2 - 48*h - 49. What is the remainder when 97 is divided by f(-1)?
7
Suppose -28*f + 671 + 365 = 0. What is the remainder when 126 is divided by f?
15
Suppose -227*t + 221*t = -1128. What is the remainder when t is divided by 19?
17
Let d(w) = -w**2 - 1. Let b(g) = g**3 + 9*g**2 - 11*g - 7. Let o(x) = b(x) + d(x). What is the remainder when o(-7) is divided by 40?
38
Let z be (2 - 16/6)/((-2)/(-12)). What is the remainder when 99 is divided by ((-476)/(-21))/(z/(-6))?
31
Suppose 4*j + 16 = 2*j. Let m be -3 - (3/1)/3. What is the remainder when 53 is divided by 30 - m/j*4?
25
Suppose -5*r + 3*t + 6 = 0, 2*r - 5*t = r - 12. Calculate the remainder when (r - 2) + 10 + -2 is divided by 3.
0
Let i(d) = -2*d**3 - 16*d**2 - 11*d - 22. Calculate the remainder when 215 is divided by i(-8).
17
Let m = -146 + 372. What is the remainder when m is divided by 19?
17
Let r(i) = -8*i**3 - i**2 + i + 4. Let g be r(3). Let m = -117 - g. Calculate the remainder when m is divided by 51.
50
Let i be (1/2)/((-3)/42). Let q = i + 2. Let g = 9 + q. What is the remainder when g is divided by 2?
0
Let k(f) = 19*f + 4. Let b be k(1). Suppose 4*q - 5 = b. Let t(c) = 7*c - 3. Calculate the remainder when t(3) is divided by q.
4
Suppose -9*u + 439 = -56. What is the remainder when u is divided by 10?
5
Suppose -3*z + 115 = 4*k - 560, z - 169 = -k. Let h(l) = -l**2 - 8*l + 38. Calculate the remainder when k/5 + (-6)/(-15) is divided by h(-10).
16
Let o be (-2)/(-5) + 39/15. Let y be (0 + (6 - o))/3. Calculate the remainder when 14 is divided by -1 + y + 4 - -1.
4
Let x be -3 + 1*(10 - 0). Suppose x*l = 2*l + 5, 3*l = 3*g - 12. Suppose -g*z = -2*z - 21. What is the remainder when 19 is divided by z?
5
Suppose 0 = -8*y - 102 + 374. Calculate the remainder when y is divided by 14.
6
Let q(a) = -6*a + 2. Suppose 5*j + 2*k - 142 = 143, 3*k + 95 = 2*j. What is the remainder when j is divided by q(-2)?
13
Suppose i - 2 = -4*c + 55, c - 10 = 4*i. Suppose 513 = -26*z + 45*z. What is the remainder when z is divided by c?
13
Suppose -73 + 9 = -4*a - x, -68 = -4*a - 2*x. Let p(y) = 7*y**2 + 4*y - 2. Calculate the remainder when p(3) is divided by a.
13
Let a be (-66)/(-10) - (-30)/(-50). Let i(p) = p**2 - 7*p - 5. Let v be i(a). Let u(s) = -s**2 - 16*s + 14. What is the remainder when u(v) is divided by 24?
21
Let t = -329 - -375. Calculate the remainder when 103 is divided by t.
11
Let w(q) = 13*q**2 - 5*q - 79. Calculate the remainder when w(-4) is divided by 8.
5
Let z(c) = -43 + 20 - 10*c - 4*c + 25. Calculate the remainder when z(-2) is divided by 11.
8
Suppose -4*s + 11 = 3. Suppose 247 = 2*r + s*r - h, -5*h + 46 = r. What is the remainder when 180 is divided by r?
58
Suppose 8*w + 13 = 1133. Let k = -53 + w. Calculate the remainder when k is divided by 18.
15
Let i(g) = -11*g - 11. Let a(y) = 6*y + 5. Let t(c) = -7*a(c) - 4*i(c). Calculate the remainder when t(5) is divided by 11.
8
Let y(x) be the second derivative of x**5/20 - 5*x**4/6 + 11*x**3/6 + 4*x**2 + 8*x. Calculate the remainder when y(9) is divided by 7.
5
Suppose 3*h - 39 = 3*b, -4*h = 7*b - 12*b - 53. Suppose -3*o + 0*o + 3*y + 12 = 0, 0 = -4*o + 5*y + 15. Calculate the remainder when h is divided by o.
2
Calculate the remainder when 130 is divided by ((-48)/(-32)*20)/(1 + 0).
10
Suppose 89 = 3*r - 31. What is the remainder when (-10)/(20/(-238)) - (2 - 1) is divided by r?
38
Suppose -6*r = -2*r - 148. Let y = -761 - -781. Calculate the remainder when r is divided by y.
17
Let g(p) = p**2 + 4*p + 1. Let m(s) = 48*s - 313. What is the remainder when m(7) is divided by g(-6)?
10
Let b = -27 - -29. Calculate the remainder when 97 is divided by (1/(-2))/(1/(-32 - b)).
12
Let u(h) = h**2 - 7*h + 16. Calculate the remainder when 23*3 + (3 - (0 - -2)) is divided by u(8).
22
Suppose 0 = -4*x, -3*z = -5*z - 4*x + 12. Let s = -2 - -5. Calculate the remainder when z is divided by s.
0
Suppose 9*n = -14*n + 3404. Calculate the remainder when n is divided by 55.
38
Let j(z) = 3*z**2 - 128*z - 134. Calculate the remainder when 166 is divided by j(44).
40
Let m = 1232 + -1158. What is the remainder when 294 is divided by m?
72
Let t = 1390 + -953. Suppose -3*m - 4*d + t = 0, -536 + 117 = -3*m + 5*d. What is the remainder when m is divided by 8?
7
What is the remainder when 4 + -10 + 562 + -6 is divided by 113?
98
Let h be 1/4 + (-56)/(-32). Let n = h - -31. Suppose -k - 3*b = -13, -7*k + n = -2*k - b. What is the remainder when 25 is divided by k?
4
Let y(u) = -21*u**3 - 3*u - 3. Calculate the remainder when 98 is divided by y(-1).
14
Suppose -3*o - 32 = -4*t + o, 3*t - 8 = -o. Suppose -t*c + 2*x + 18 = -0*c, 39 = 5*c + 3*x. What is the remainder when 23 is divided by c?
5
Let t(m) = m**3 + m - 1. Let r be t(1). Let p be -2*(-4)/(-8)*r. Calculate the remainder when 49 is divided by (51/9)/p*-3.
15
Let m(c) = c**2 - 12*c. Let n(r) = 2*r**2 + 1. Let u be 3 + (-1)/((-2)/4). Calculate the remainder when n(u) is divided by m(13).
12
Let a(v) = -1 - 7*v + 19*v + 15*v + 16*v. Let w = -36 - -37. What is the remainder when a(w) is divided by 22?
20
Let h(z) = z**2 - 5*z + 9. Let o be h(4). Suppose 0 = -w + o*k - 3*k + 25, 55 = 4*w + k. Calculate the remainder when 43 is divided by w.
13
Let z = 1097 + -185. Suppose -z = -17*g + 5*g. What is the remainder when g is divided by 26?
24
Let v(s) = 4*s - 1. Let i be v(1). Suppose -2*r - i + 9 = -f, -5*r - f = -8. What is the remainder when (r/(-2))/2*-84 is divided by 15?
12
Suppose 231*z - 273*z = -756. What is the remainder when 242 is divided by z?
8
Let j = 45 - 5. Let s = 9 + j. What is the remainder when s is divided by 25?
24
Let q(u) be the third derivative of -u**6/60 + u**5/30 - u**4/24 - u**3/6 + u**2. Calculate the remainder when q(-2) is divided by 10 - (6 + (-12)/(-2 + 6)).
4
Let v be 43/(4/(-32)*-4). Let l = v + -37. Suppose 36 = 2*k - 2*q, -4*k + 0*q - q = -47. Calculate the remainder when l is divided by k.
10
Let x(r) = r + 21. Suppose 0 = -2*u + 10, l = 4*l + 2*u - 25. Let s(w) = w**3 - 6*w**2 + 2*w. Let d be s(l). Calculate the remainder when 9 is divided by x(d).
3
Suppose 13*p - 11*p - 30 = 0. Suppose 3*u - 2*i + 14 = 0, -4*u - u + i - 14 = 0. Let n = u + p. What is the remainder when 37 is divided by n?
11
Suppose -8*y + 124 = -6*y. Let g = 27 - -6. Calculate the remainder when y is divided by g.
29
Suppose -2*s = -h + 72, 20*s + 288 = 4*h + 25*s. What is the remainder when h is divided by 63?
9
Suppose 0 = 12*p - 1708 + 412. Suppose -282 = -6*l - p. What is the remainder when l is divided by 6?
5
Let f = 1765 - 1591. Calculate the remainder when 533 is divided by f.
11
Let g = -257 + 450. What is the remainder when g is divided by 28?
25
Let o be ((-3)/4)/(4/32). Let z(a) = 2*a**2 + 10*a. Let u(p) = -17*p - 1. Calculate the remainder when u(-2) is divided by z(o).
9
Let l = 349 - 327. Calculate the remainder when 40 is divided by l.
18
Let f be (-384)/(-20) + 1/(-5). Let h = 32 - f. Calculate the remainder when 37 is divided by h.
11
Suppose 24*v - 21*v - 24 = 0. Calculate the remainder when 155/55 + -3 - (-244)/11 is divided by v.
6
Suppose 0*j = j. Suppose j = -4*s + 4*h + 32, -s + 4*h + 8 = -15. Suppose l + 4*z = -z + 4, -l = s*z - 6. Calculate the remainder when 44 is divided by l.
8
Let o(i) = -i**3 - 11*i**2 - 3*i + 1. Suppose -370 = -12*j - 250. What is the remainder when o(-11) is divided by j?
4
Suppose 3*t - 81 = -3*y + 2*y, 3*y = -3*t + 213. Let k = -55 + y. Calculate the remainder when 65 is divided by k.
10
Let u be ((-4)/6)/((-519)/513 - -1). Suppose 6*a - 471 = u. Calculate the remainder when a is divided by 23.
19
Suppose -96 = -y - 2*y + 4*w, -w = -3. Let s(q) = q**2 - 14*q - 14. Calculate the remainder when s(-6) is divided by y.
34
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