 - 48 - 26 = 0. Calculate the remainder when s is divided by 11.
4
Suppose 4*n + 5*u = 645, -2*n + 3*u + 320 = 5*u. What is the remainder when n is divided by 23?
17
Suppose -15*l = -2924 - 2716. What is the remainder when l is divided by 38?
34
Suppose 0 = 5*v - 4*h - 25, -2*v - 5*h + 43 = -0*v. Let r = 32 - v. Suppose c = -4*p + 19 + 36, -24 = -3*p + 5*c. What is the remainder when r is divided by p?
10
Let k(t) = 2*t**2 - 10*t - 60. What is the remainder when k(-8) is divided by 76?
72
Suppose -238 = 4*v - 514. What is the remainder when v is divided by 12?
9
Suppose z - 23 - 73 = -i, 460 = 5*i + z. What is the remainder when i is divided by 49?
42
Calculate the remainder when 85 is divided by 49 + -10 - (-7 + 9).
11
Let a(h) = -h**3 + 6*h**2 + 81*h + 5. What is the remainder when a(12) is divided by 31?
20
Let q(s) = 6*s - 3. Let x be q(4). Let l = -9 + x. Suppose -4*m = -3*f + 29 - 8, -5*f - 5*m + 35 = 0. What is the remainder when l is divided by f?
5
Let n = -427 + 525. Calculate the remainder when n is divided by 30.
8
Suppose r - 3 = 4*r. Let q(z) = -3*z - 1. Let p be q(r). Suppose 0 = -p*o - 4 + 8. Calculate the remainder when 3 is divided by o.
1
Suppose 5*p - 400 = 5*z, 5*p - p - 310 = 2*z. Let i = p + -21. Calculate the remainder when i is divided by 11.
10
Let p(z) = -10*z - 15. Let w = 5 + -8. Calculate the remainder when p(w) is divided by 3.
0
Suppose -5*q = -b - 130, 2*q + 17 = -3*b + 86. Suppose 0 = -0*l + l + 2*n - 24, 4*l - 4*n - 60 = 0. What is the remainder when q is divided by l?
9
Let n = -71 - -250. What is the remainder when n is divided by 9?
8
Let h(f) = 2*f**3 - 10*f**2 - 12*f - 34. Calculate the remainder when h(7) is divided by 39.
0
Let o(j) = 11*j**2 + j. Let d be o(-1). Let a = d + 26. What is the remainder when a is divided by 13?
10
Let y = -216 - -126. Calculate the remainder when 7 is divided by (y/(-54))/(2/6).
2
Suppose -8*z + 205 = -155. What is the remainder when 167 is divided by z?
32
Suppose 0 = -20*q - 907 + 7487. What is the remainder when q is divided by 30?
29
Let m = -2 + 8. Suppose -2*c + m*c = v - 111, 4*c = -2*v - 114. Let y = -12 - c. What is the remainder when 30 is divided by y?
14
Suppose 4*z - 11*r - 80 = -7*r, 0 = -2*z - 2*r + 32. Calculate the remainder when 4/(-10) + ((-434)/(-10) - -5) is divided by z.
12
Let h(s) = 87*s**2 - 3*s + 3. Suppose 0*x + 2*x = -8, -17 = -5*m + 3*x. Calculate the remainder when h(m) is divided by 18.
15
What is the remainder when ((-55)/(-15) + -5)*1182/(-8) is divided by 15?
2
Suppose -q = -m + 3*q + 52, 3*q - 71 = -2*m. Suppose -m*z + 42*z - 34 = 0. Calculate the remainder when 81 is divided by z.
13
Let h(n) = -n**3 - 5*n**2 - 2*n - 3. Suppose 13 = -5*y + 2*p - 16, -3*p = 4*y + 14. What is the remainder when h(y) is divided by 2?
1
Suppose 4*i - 49 = -5*y + 2*i, 2*i = y - 17. Let n(h) = -h**3 + 3*h + 2. Let a be n(-2). What is the remainder when (a + 6)/((-1)/(-3)) is divided by y?
8
Let r be (-50)/(-18) + 9/((-243)/(-6)). Suppose 2*k + 196 = r*d - 22, k + 375 = 5*d. What is the remainder when d is divided by 13?
11
Calculate the remainder when 121 is divided by 609/9 + -4 + 40/12.
54
Let n(l) = -l**2 + 6*l + 6. Let q be -18*(-2)/(-12)*-2. Suppose d = q - 1. What is the remainder when n(d) is divided by 4?
3
Let q(w) = 3*w**2 + 74*w + 55. Let x(t) = t. Let s(p) = 2*p**2 - 4*p + 2. Let n be s(2). What is the remainder when q(-24) is divided by x(n)?
1
Suppose -9*x + 8*x + 4 = 0. Suppose -3*z - 35 = -x*z. What is the remainder when 138 is divided by z?
33
Suppose -46 = -p + 4*j, 0 = -p - p - j + 110. Suppose -20*b + 1890 = -2*b. Calculate the remainder when b is divided by p.
51
Let h(x) = -x**3 - 8*x**2 + 10*x + 10. Suppose 5*w - 4*g = 75, -3*w - 20 = -4*g - 65. Let s = 6 - w. Calculate the remainder when 1 is divided by h(s).
0
Let l(j) = j**3 - 15*j**2 + j + 5. What is the remainder when 96 is divided by l(15)?
16
Suppose 57*u - 200 - 940 = 0. Calculate the remainder when 71 is divided by u.
11
Calculate the remainder when 311 is divided by 66/132 - (-393)/6.
47
Let y = 186 + -20. What is the remainder when y is divided by 17?
13
Let k(n) be the first derivative of -2*n**2 - 20*n + 34. Suppose 0 = 5*q - 125 + 20. Calculate the remainder when q is divided by k(-7).
5
Suppose s = -4*u + 12, 0*s - 2*s = 4*u - 12. Suppose -u*f - 541 = -0*f - 4*h, -5*f - 917 = h. Calculate the remainder when (17 + f)*(-1)/2 is divided by 28.
27
Suppose 0 = 10*v - v - 594. Suppose b + 3*f - 34 = 0, 5*b - v = b + 2*f. What is the remainder when 92 is divided by b?
16
Suppose 3*i = -2*j + 129, -7*j + 2*j + 270 = -3*i. What is the remainder when j is divided by 4?
1
Suppose -6*p - 8 = -p - 2*h, 0 = 2*h - 8. What is the remainder when 16 is divided by p - ((-14)/3 + (-2)/6)?
1
Suppose -115 = -4*m + 309. Let a = m - 23. What is the remainder when a is divided by 12?
11
Suppose -q + 275 = 3*n, 2*n = -3*q - q + 1050. Suppose -11*o = -7*o - q. Calculate the remainder when o is divided by 33.
32
Suppose 0 = 5*l - 4*h - 381 - 878, l - 247 = -4*h. Calculate the remainder when l is divided by 28.
27
Suppose -12 = -4*o + 4. Suppose 5*u = 2*w + 61, -o*u + 3*w + 2 + 51 = 0. Calculate the remainder when 41 is divided by u.
8
Let j = -1856 - -1883. Suppose -19 - 7 = -2*y. Suppose -2*k + 7 + y = 0. Calculate the remainder when j is divided by k.
7
Let v be 48/10 - 2/(-10). Let j = -2 + v. Suppose -y - n = -5 - 6, 4*y + 3*n - 42 = 0. Calculate the remainder when y is divided by j.
0
Let d(h) = -13*h - 29. Let t(k) = -8*k - 9. What is the remainder when d(-11) is divided by t(-6)?
36
Suppose -5*d + 0*m + 38 = -m, -3*d + 3*m + 30 = 0. Suppose -s + d = -7. Suppose c - s = -3. What is the remainder when c is divided by 3?
2
Let m = 81 - 93. Calculate the remainder when (-2)/((-16)/m)*-116 is divided by 44.
42
Suppose 1176 = -174*f + 188*f. Suppose -x - x + 3*v + 49 = 0, 0 = -2*x + 5*v + 59. Calculate the remainder when f is divided by x.
16
Let v(x) = 231*x - 131. Calculate the remainder when v(2) is divided by 37.
35
Suppose 2*r = -30 + 136. Suppose 3*q + o = -2*q + r, 0 = -5*q + 2*o + 59. Calculate the remainder when q is divided by 3.
2
Let t(b) = 3*b - 38. Let r(g) = 2*g - 25. Let u(i) = -7*r(i) + 5*t(i). Let k be u(13). What is the remainder when 54 is divided by (10 - -1)*(-1 - k)?
10
Let o = 8 - 6. Let q(j) = 3*j**3 + 3*j - 2. What is the remainder when q(1) is divided by o?
0
Let c(b) = -b**2 - 51*b + 45. What is the remainder when c(-23) is divided by 99?
95
Let z be ((-2)/(-3))/(10/495). Let g = z - -11. Suppose 4*s = -0*s + 60. What is the remainder when g is divided by s?
14
Let x(v) = -v**3 - 6*v**2 + 5*v - 4. Let n be 0/(-5) + -1 + -6. Let f(u) = -u**3 - 4*u**2 + 13*u + 43. What is the remainder when x(n) is divided by f(-5)?
1
Let g(s) = -2*s**3 + 13*s**2 - 3*s + 5. Let q be g(7). Let z = q + 108. Let f(x) = -12*x**3 + x. Calculate the remainder when z is divided by f(-1).
10
Let t = -779 + 804. Calculate the remainder when 597 is divided by t.
22
Suppose 0 = 22*i - 20*i - 4. Suppose i*x - 4 = 5*m, x - 2*x + 2 = -m. Calculate the remainder when 8 is divided by x.
0
Suppose -15*s + 13653 = 5028. Suppose -6*i + i = -t + 158, 4*t - s = i. What is the remainder when t is divided by 29?
27
Suppose 0 = 4*g - 20 - 96. Let r(s) = -s**3 + 10*s**2 - 5*s - 1. What is the remainder when r(7) is divided by g?
24
Let a(k) be the third derivative of k**5/60 - 7*k**4/12 - 17*k**3/6 + 6*k**2. What is the remainder when a(16) is divided by 4?
3
Suppose k - 3*t = 276, -2*k - 3*t + 336 = -243. What is the remainder when k is divided by 24?
21
Let t(y) = -2*y - 2. Let j = 21 + -60. Let b = j - -43. What is the remainder when b is divided by t(-2)?
0
What is the remainder when (-1420)/(-50)*((1 - -67) + -3) is divided by 88?
86
Suppose -4*p = -5*f - 40, 3*p = f + 2 + 6. Let x(i) = i**3 + 9*i**2 - i - 10. Calculate the remainder when x(f) is divided by 3 - (3 - 1) - -20.
20
Let w = -76 + 134. Calculate the remainder when w is divided by 4 + (-2 - -3) - (-228)/(2 + 10).
10
Suppose -u - 6 = -2*v, -2*v = -v - u - 4. Suppose v*f - 75 = 81. Let d(l) = -2*l**2 - 48*l - 26. Calculate the remainder when f is divided by d(-23).
18
Suppose -323 - 6 = -7*v. Calculate the remainder when v is divided by 26.
21
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