. Let z = 69 + f. What is the remainder when z is divided by 7?
3
Suppose 0 = 6*i - 243 - 591. Calculate the remainder when i is divided by 37.
28
Calculate the remainder when (-3 - 51/(-2))*22/33 is divided by 4.
3
Suppose 1046 = 2*f + 20*a - 16*a, 5*f = 5*a + 2615. What is the remainder when f is divided by 59?
51
Suppose 45 = v - 2*v. What is the remainder when 2 - 1/(-3 + (-132)/v) is divided by 10?
7
Let b = 0 + 4. Let f = -13 + b. Let n(a) = a**3 + 10*a**2 + 6*a + 12. What is the remainder when n(f) is divided by 14?
11
What is the remainder when 21/28*1500/9 is divided by 22?
15
Suppose 0 = 4*w + 5*z - 3*z - 130, -4*z = -w + 28. Let x = 75 - w. Calculate the remainder when x is divided by 15.
13
Let h = -263 + 506. Suppose h - 51 = 8*f. What is the remainder when f is divided by 13?
11
What is the remainder when 14 is divided by (-1)/7 + (-300)/(-42)?
0
Let n(k) = -110*k. Let v(c) = 2*c - 2. Let s be v(4). Suppose -s*o = -80 - 88. What is the remainder when n(-1) is divided by o?
26
Calculate the remainder when 12/((-144)/2140)*6/(-5) is divided by 45.
34
Suppose -6*x = -4*x - 16. Let p(b) = b**2 - 7*b + 3. Calculate the remainder when p(x) is divided by 3.
2
Suppose -3*u - s = 32, -3*s + 1 + 11 = 0. Let t be ((-7)/((-14)/u))/1. Let x(b) = 2*b**2 + 7*b + 7. Calculate the remainder when x(t) is divided by 10.
7
Let u = 437 + -406. Calculate the remainder when 110 is divided by u.
17
Let q(b) = -b**2 - 3*b + 28. What is the remainder when 1151 is divided by q(-5)?
17
Let z be ((-3)/(-4))/(((-9)/8)/(-3)). Suppose 2*h = -z*i + 128, 7*h - 5*i = 11*h - 253. Calculate the remainder when h is divided by 18.
13
Calculate the remainder when (-3)/(-1 - 48/(-54)) is divided by 120/9 + 4/6.
13
Suppose 5 = -3*j + 3*v - 34, -2*j - 25 = -3*v. Let k = j - -27. What is the remainder when k is divided by 2?
1
Let j = 16 + -7. Let l(r) = -2*r**3 + 2*r**2 - r - 2. Suppose 3*h + 2 = -4, 0 = 2*o - 3*h - 2. Calculate the remainder when l(o) is divided by j.
6
Let p(v) = 2*v**2 + 8*v - 9. Calculate the remainder when -13*((-3 - -8) + -10) is divided by p(-7).
32
Let n = -127 - -181. What is the remainder when n is divided by 14?
12
Suppose 6 = -5*f - 9, 4*i + 4*f - 880 = 0. What is the remainder when i is divided by 58?
49
Suppose 4*u = -4*c - 52, 8*c - 11*c - 24 = -2*u. Calculate the remainder when 139 is divided by -5 - (c + (-4 - 1)).
9
Let c(h) = -3*h - 17. Let l be c(-7). Suppose z = i - 19, -i - 2*z = -l*z - 17. Calculate the remainder when 61 is divided by i.
19
Suppose 0 = 3*k - 0*k + 24. Let z = k + 2. Let b = z + 11. What is the remainder when b is divided by 2?
1
Let j(u) = 6*u**2 - 2*u - 2. Calculate the remainder when j(-1) is divided by 2.
0
Let m(b) = -27*b + 44. Calculate the remainder when 260 is divided by m(0).
40
Let v be 33/9 + 4/(-6). Suppose 2*f + 2*f = q + 24, -3*f + v*q = -9. Calculate the remainder when 12 is divided by f.
5
Let j = 809 + -560. Suppose -17*i - j = -18*i. Suppose 4*x = p + i, 3*x + 3*p + 137 = 5*x. Calculate the remainder when x is divided by 21.
19
Suppose -4 = 2*u - 24. Suppose -26*a + 22*a + 176 = 0. What is the remainder when a is divided by u?
4
Let w(n) be the first derivative of -5 + 0*n + 71/2*n**2. Calculate the remainder when w(1) is divided by 18.
17
Suppose 0*m = -4*m + 8. Let f be (m/(-6))/(5/45). Let w = f - -10. Calculate the remainder when 11 is divided by w.
4
Let s = -228 + 230. Calculate the remainder when 184 is divided by s.
0
Let p(b) = b - 35. Calculate the remainder when p(37) is divided by 1.
0
Let h be (-10 - -6) + -2 - -8. Suppose -t = -3*j - h*j + 125, 36 = j + 2*t. Let m(p) = -p + 3. What is the remainder when j is divided by m(-6)?
8
Let t(a) = -a**2 + 30*a - 12. Let m = 21 + 9. Calculate the remainder when t(25) is divided by m.
23
Let v(h) = -5*h + 183. Calculate the remainder when 220 is divided by v(34).
12
Suppose -7*h + 3*h - 104 = 0. Calculate the remainder when (-28)/(-182) + (-464)/h is divided by 11.
7
Let o be -51*(4 - (-6)/(-3)). Let i = -70 - o. What is the remainder when i is divided by 9?
5
Let c be (-2 - -3)/(1/(-33)*3). Let r(j) = j**2 + 10*j + 3. What is the remainder when 151 is divided by r(c)?
11
Let c(z) = 101*z**3 + z**2. Let p be c(-1). What is the remainder when 116 is divided by (p + 0)*20/(-50)?
36
Suppose 2*b - 56 = -2*b. Suppose d + 3*d - 12 = 4*a, -a + 5 = 3*d. What is the remainder when ((48/(-9))/8)/(d/(-123)) is divided by b?
13
Suppose 4*n - 16 = 13*h - 15*h, 5 = h - n. What is the remainder when 53 is divided by h?
5
Let a(c) = c**3 + 8*c**2 + 8*c + 9. What is the remainder when (10/9)/((-102)/(-459)) is divided by a(-7)?
1
Suppose 3*y - 2420 = -y. What is the remainder when y is divided by 32?
29
Suppose 9 = b + 5*m, 2*b - 3*m = -8*m + 18. Let f(s) = -3*s. Calculate the remainder when f(-4) is divided by 63/(-35)*(-15)/b.
0
Let z = 10 + -32. Let o = 37 + z. What is the remainder when 43*1/(-2)*-2 is divided by o?
13
Let j(o) = -o**2 - 10*o + 17. Let c be j(-9). Suppose c - 4 = 2*y. Calculate the remainder when (-2)/(-2) + 43 + -1 is divided by y.
10
Suppose 21 - 7 = 2*y. Suppose y*l = 11*l. Suppose l = -2*x - 6*x + 104. What is the remainder when 25 is divided by x?
12
Let i = -14 + 20. Calculate the remainder when (-2)/(45/48 + -5 + 4) is divided by i.
2
Suppose -2*z + 29 = -27. Calculate the remainder when 53 is divided by z.
25
Suppose 4*o = 2*o - 2, 0 = 3*j - 4*o - 22. Let b(d) = d**3 + 3*d + 1 - 6*d**2 - d - d + 0*d. Calculate the remainder when b(j) is divided by 5.
2
Let y = 37 - -22. Suppose r + 0*r - 5*p + 15 = 0, 0 = 3*r + 2*p - 40. What is the remainder when y is divided by r?
9
Let s be -1*1/(-2)*6. Suppose -5*a - 42 = s*g - 531, -5*a = -5*g - 465. What is the remainder when a is divided by 20?
16
Suppose 2*v + 30 = -3*v. Let f(k) = -8*k**2 - k + 9. Let h(u) = -u**2 + 1. Let b(j) = -f(j) + 6*h(j). Calculate the remainder when b(v) is divided by 22.
19
Let g(o) = 7*o**2 - 3*o - 2. Calculate the remainder when g(-2) is divided by (-3 - -6)/((-306)/(-1734)).
15
Suppose 5*l - 2*n = 54, 0 = -2*l + 3*n + 16 + 10. Suppose -l*z = -7*z - 120. What is the remainder when 118 is divided by z?
38
What is the remainder when 90 is divided by ((-24)/(-40))/3 + 1620/25?
25
Calculate the remainder when ((-19 - -11) + 12)/(6/123) is divided by 62.
20
Let w = -8433 - -8455. Let h(f) = -2*f - 4. Let q(v) = -v**3 + 3*v**2 + 2*v + 2. Let p be q(4). What is the remainder when w is divided by h(p)?
6
What is the remainder when 226 is divided by 1*((-4)/5 + 3740/50)?
4
Suppose -4*o = o + 4*u - 42, -u = -o + 3. Suppose 0 = -o*g + 197 + 211. What is the remainder when g is divided by 18?
14
Let v = -22 + 16. Let t(z) = z**2 + 6*z + 5. Let r be t(v). Suppose x = -4*c + 42, 5*x + r*c + 65 = 200. What is the remainder when 85 is divided by x?
19
Let s be 52 + 1 + 0 + (-12)/(-4). Suppose 61*o - 155 = s*o. Calculate the remainder when 122 is divided by o.
29
Let a(i) = -54*i + 6. Let d be a(-12). What is the remainder when 35 is divided by 2/(-12) - d/(-36)?
17
Suppose 3*v + 1174 = 5*n, n - 2*v = 6*n - 1159. Calculate the remainder when n is divided by 47.
45
Let d = -73 - -142. Let s = d + -42. What is the remainder when s is divided by 16?
11
Let r(t) = 178*t - 13. What is the remainder when r(1) is divided by 6?
3
Calculate the remainder when 12*34 - (-9 - -14) is divided by 131.
10
Let c(u) be the third derivative of -u**5/30 - 25*u**4/24 - 2*u**3/3 + 12*u**2. What is the remainder when 47 is divided by c(-12)?
7
Let v = -62 + 81. Let p = v + -13. What is the remainder when 13 is divided by p?
1
Suppose -13*m = -4*m + 18. Calculate the remainder when 69 - (-6 + 7) - 4/m is divided by 25.
20
Let c(z) = -z**2 + 13*z - 12. Let m be c(12). Let l(k) = k**3 + 2*k**2 - 4*k + 3. Calculate the remainder when l(2) is divided by ((-9)/15 + m)*-10.
5
Let l = -161 + 198. Calculate the remainder when l is divided by 21.
16
Suppose 2*a - 12 = 5*t, 5*a + t - 30 = 6*t. Let w be 3*-9 + 6/a. Let i = 24 - w. Calculate the remainder when i is divided by 13.
11
Suppose -2*i = 7 + 5. Let x be -1 + 4 + (i - -4). What is the remainder when 48 is divided by 16 - 2 - (x + -4)?
14
Let u be -5 + -2 - (-4 - -1). Calculate the remainder when 5/((-5)/(-52)) + -2 is divided by 1*(12 + (-4)/u).
11
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