). Let t(p) = 3*p**3 - 2*p**2 + 3*p - 2. What is the remainder when 2 is divided by t(u)?
0
What is the remainder when 1958/132 + 5/(-6) + 1 is divided by 4?
3
Suppose 10*c = 168 + 102. Suppose -x + 21 = 2*x. Calculate the remainder when c is divided by x.
6
Let u(x) be the third derivative of x**6/120 - x**5/10 - x**4/6 - 5*x**3/6 - 3*x**2. Calculate the remainder when 30 is divided by u(7).
14
Suppose -50 = 5*l - 170. Suppose 3*p = -2*b + 10, -4*p - 2*b - 2*b = -20. Suppose t + p*t - 13 = 0. Calculate the remainder when l is divided by t.
11
Suppose -4*y = 120 - 432. Suppose -5*u + 2*u = -y. Calculate the remainder when 50 is divided by u.
24
Let f = -83 - -127. Let i(n) = 3*n - 3. What is the remainder when f is divided by i(6)?
14
Suppose -17 + 72 = 4*b + 3*h, -5*h = -2*b + 21. Calculate the remainder when b is divided by 8.
5
Let c(q) = -q**2 - 5*q. Suppose -5*h = -7*h + 4. What is the remainder when c(-4) is divided by h?
0
Let m = -60 + 94. Calculate the remainder when 101 is divided by m.
33
Let u be 1*(-2 + 2 + 3). Let n(s) = 0*s - 6*s + s**2 - u + 4*s. What is the remainder when 23 is divided by n(5)?
11
Suppose 3*n - 116 = -n. Calculate the remainder when n is divided by 8.
5
Let f be ((-95)/4)/(-5)*4. Suppose q + 2 - f = 0. What is the remainder when q is divided by 5?
2
Suppose 0 = -0*z + 2*z + 108. Suppose 7*s - 70 = 77. What is the remainder when s is divided by ((-4)/3)/(6/z)?
9
Suppose 0 = -5*n + 5, -2*v + n - 4*n = -11. Suppose 0 = c - 4*b + v, 3*c + b - 2 = 6*b. Calculate the remainder when 15 is divided by c.
3
Suppose 3*k = 4 + 26. What is the remainder when 39 is divided by k?
9
Let z(b) = -b**2 - 6*b + 11. Calculate the remainder when z(-6) is divided by 3.
2
Suppose -4*v = -3*y - v + 51, -y + 2*v + 21 = 0. Calculate the remainder when y is divided by 7.
6
Let l(u) = -u**3 - 7*u**2 - 5*u - 2. Calculate the remainder when l(-7) is divided by 17.
16
Suppose 8*u + 45 = 3*u + 5*l, 3*u + 5*l = 13. Let w(t) = -t**2 - 6*t - 5. What is the remainder when w(u) is divided by 3?
0
Suppose 3*w = -w. Suppose w = -3*b + 3 + 27. What is the remainder when 276/10 + (-2)/(-5) is divided by b?
8
Suppose 7 = 5*p - 3. Suppose 2*t = -3*t - n + 109, -p*n = -3*t + 55. Calculate the remainder when 82 is divided by t.
19
Let b(p) = -p**3 - 6*p**2 - 13*p - 6. What is the remainder when 32 is divided by b(-4)?
4
Suppose -13*y + 45 = -10*y. What is the remainder when y is divided by (-1 + 0)*4/(-1)?
3
Suppose 8*t - 52 = 284. What is the remainder when t is divided by 11?
9
Let s = 21 + -15. Suppose 2 + s = 2*y. What is the remainder when 7 is divided by y?
3
Let t be -2 + (-5)/((-15)/9). Suppose -12 = -3*r - 3. Let y = r + t. What is the remainder when 7 is divided by y?
3
Let h be 94/18 - (-6)/(-27). Suppose h*q + 213 = 563. Calculate the remainder when q is divided by 18.
16
Suppose 2*h + 7 = 31. Suppose -5*j = -h - 43. Let b = 30 + -10. What is the remainder when b is divided by j?
9
Suppose 0 = -10*c + 6*c + 8. Let n be 1/(-1)*(-34)/2. Suppose 3*z + 3*u = 108, -59 - n = -2*z + c*u. Calculate the remainder when z is divided by 19.
18
Let z(g) = 6*g - 22. Calculate the remainder when 4 is divided by z(4).
0
Suppose 0 = -2*r - 3*t + t + 46, -2*t - 30 = -2*r. Calculate the remainder when 93 is divided by r.
17
Let p(u) = 4*u + 2. Suppose 3*y = -y + 8. Suppose -y*g + 108 = 2*g. Calculate the remainder when g is divided by p(3).
13
Let d be (4/(-8) + 3)*-2. Let a(v) = -3*v - 12. What is the remainder when 7 is divided by a(d)?
1
Suppose 3*t + 10 = -5*k + 6*t, 5*t + 8 = -4*k. What is the remainder when (k*1)/(6/(-75)) is divided by 34/5 - (8/10)/(-4)?
4
What is the remainder when 70 is divided by ((-16)/6)/((-6)/54)?
22
Let k(r) = -7*r + 10. Let c(f) = -6*f + 9. Let j(h) = -3*c(h) + 2*k(h). Let s be j(8). Suppose b - 74 = -s. What is the remainder when b is divided by 17?
15
Suppose g - 11 = 3*g + 3*f, -25 = g - 5*f. Let d = 40 + -9. What is the remainder when d is divided by 4/g + 57/5?
9
Calculate the remainder when 23 is divided by (-3 + 5 + 0)*(3 + 1).
7
Suppose 46 - 10 = 2*f. What is the remainder when f is divided by 9?
0
Let h = 25 - 17. Suppose 2 + 10 = 3*w + k, h = 2*w + 3*k. Calculate the remainder when 11 is divided by w.
3
Let u(d) = -4*d - 1. What is the remainder when (4 + -2)*3/(-12)*-62 is divided by u(-3)?
9
Calculate the remainder when 8/1 - (1 + 1) is divided by 2.
0
Calculate the remainder when 25 is divided by (144/64)/(2/8).
7
Let i = 56 - 5. What is the remainder when i is divided by 27?
24
Suppose -b + 49 = -6*z + 3*z, 2*z - 147 = -3*b. What is the remainder when (-224)/(-10) + 2/(-5) is divided by 24/14*b/7?
10
Let z = 11 + -5. Suppose -2*a - 4*n = -z, -15 = -5*a - n + 2*n. Calculate the remainder when 10 is divided by a.
1
Suppose 10*m - 54 = 5*m + 3*v, 4*m = 5*v + 38. What is the remainder when 21 is divided by m?
9
Let q(r) = 12*r. What is the remainder when q(9) is divided by 22?
20
Calculate the remainder when 31 is divided by ((-16)/(-10))/((-3)/(-15)).
7
Let l = 6 + 4. Let y(k) be the second derivative of -k**3/3 + k**2 - 2*k. What is the remainder when l is divided by y(-2)?
4
Suppose r + 6 = -r. Let f = 1 - r. Suppose 3*l + 2*l = -4*g + f, -4*g - l + 20 = 0. Calculate the remainder when 15 is divided by g.
3
Let t(h) = 2*h + h**2 + 4 - 3*h - 3. Let l = 36 - 11. Calculate the remainder when l is divided by t(4).
12
Let b(d) = -19*d - 3. Suppose 10*c - 2*c + 8 = 0. Calculate the remainder when (-1)/2*-1*122 is divided by b(c).
13
Let z be 3/2*(-152)/6. Let l = -26 - z. Suppose -2*u - 170 = -7*u. Calculate the remainder when u is divided by l.
10
Let r be 256/(-28) - (-2)/14. Suppose -2*g + 38 = v, -4*g - 3*v = 2*v - 76. Calculate the remainder when ((-11)/(-4))/(r/(-180)) is divided by g.
17
Suppose -431 = -5*a + 79. Let t = -19 + a. Suppose 5*v - t = -23. What is the remainder when 35 is divided by v?
11
Suppose -270 = -3*g + 4*k, -3*g - 4*k + 246 = -0*k. Suppose 2*b - 6 = b + 2*w, 4*w - g = -5*b. Calculate the remainder when 25 is divided by b.
11
Suppose c = -4*v - v + 34, -4*c = -4*v - 40. What is the remainder when 82 is divided by c?
12
Suppose 101 - 5 = 4*n. Calculate the remainder when 47 is divided by n.
23
Suppose -11*y = -12*y + 34. What is the remainder when 169 is divided by y?
33
Let s(w) = 2*w**2 - 2*w + 3. Suppose 2*h + 9 = 3*f, 2*f - 6*f = -3*h - 12. Calculate the remainder when s(2) is divided by f.
1
What is the remainder when 23 is divided by -3 + 75/9 + (-2)/(-3)?
5
Let m = 66 - -62. Suppose 3*q - 333 = -5*r - m, q - r - 79 = 0. Calculate the remainder when q is divided by 19.
18
Let k(y) = -3*y**2 - 1. Let m be k(1). Suppose 3*o - 5*a = -0*o - 5, -5*o + 45 = 5*a. Calculate the remainder when o is divided by 0 - (1 + 1) - m.
1
Let h(o) = 2*o**2 + 5*o - 3. Suppose -4*v - 16 = -68. What is the remainder when h(4) is divided by v?
10
Suppose 0 = -0*w + 3*w - 24. Calculate the remainder when 29 is divided by w.
5
Suppose 0 = -3*f - w - 0*w - 9, 0 = 4*f + 3*w + 12. Calculate the remainder when (2/f)/((-8)/132) is divided by (-6 - 0)*16/(-24).
3
Let f = 35 + -12. Let l = -33 - -46. Calculate the remainder when f is divided by l.
10
Suppose 4*i - 150 - 114 = -4*n, -271 = -4*i + 3*n. What is the remainder when i is divided by 24?
19
Let o be (1 + -1)/(1 + 0). Let u be 12/1 + (o - 3). Let p = 22 + u. Calculate the remainder when p is divided by 16.
15
Let t be 0*((-5)/2 - -3). Suppose 5*x - 78 - 52 = t. Calculate the remainder when x is divided by 7.
5
Let l(v) = -25*v + 12. Calculate the remainder when l(-3) is divided by 46.
41
Let c = 15 + -12. What is the remainder when 11 is divided by c?
2
Let n be (-1)/(3/(-2) + 1). Suppose -n*f = -19 - 1. Let m = 47 + -28. What is the remainder when m is divided by f?
9
Let a be 2/(-2) - 1/(-1). Let z be (-3)/(2*3/(-96)). Suppose a = 4*m + 4*s - z, 0 = s + s - 2. What is the remainder when 21 is divided by m?
10
Suppose 2*h = -4, 44 = 2*l - 2*h + 5*h. Suppose 2*g - 145 = -s, -59 = 3*g + s - 278. Calculate the remainder when g is divided by l.
24
Let m = -25 + 10. Let h be (1 - m) + (2 - 3). Let t = 51 - h. Calculate the remainder when t is divided by 13.
10
Let y = -31 - 59. Let d = y + 154. Suppose -7 = b - d. What is the remainder when b is divided by 15?
12
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