 be (-5)/2*6/3. Let n(z) = 8*z - 10*z + 12*z**2 - 12*z**2 + 10*z**2 + 2*z**3 + 2. What is the remainder when 47 is divided by n(x)?
11
Let n = 28 - 8. Suppose n = z + 3*z. Calculate the remainder when 17 is divided by z.
2
Let r(w) = 4*w + 13. Let j be r(6). Suppose -41 - j = -3*n. Suppose 2*u = -10, -3*a - u = -5*u - n. Calculate the remainder when 7 is divided by a.
1
Let l = -123 + 135. Suppose 0 = 2*i + 2*i + 24. Calculate the remainder when (-122)/i - 6/(-9) is divided by l.
9
Let g(m) = -4*m**3 - 4*m**2. Let i be g(-4). Let r be 21/9 + (-4)/(-6). Suppose -i + 18 = -r*s. Calculate the remainder when s is divided by 20.
18
Let w = -7 + 18. Let a(s) = 5*s**3 + 15*s - 30. What is the remainder when a(2) is divided by w?
7
Let s(y) = y + 20. Let g = 5 + -5. What is the remainder when g/1 - (-45 - 0) is divided by s(-4)?
13
Calculate the remainder when (-3672)/(-126)*21/3 is divided by 23.
20
Suppose -1 = g - 26. Let v = -18 + g. Calculate the remainder when 58 is divided by 80/v - 4/(-7).
10
What is the remainder when 45 is divided by 6/(-6)*(-27 - 2)?
16
Suppose 5*g - g + 4 = 0. Let r(o) = 21*o**2. Suppose s - 180 = -2*s. What is the remainder when s is divided by r(g)?
18
Let h(l) = -2*l + 10. Let b be h(-11). Let o = -21 + b. Suppose -30 = -j + 4*x, -5*j + 2*x + 160 + 44 = 0. What is the remainder when j is divided by o?
9
Let k be 5936/160 + 2/(-20). Let z = -35 + k. Suppose -z*l + 4*l - 202 = 0. What is the remainder when l is divided by 26?
23
Suppose 145 = 5*n + 5*h, 2*h - 116 = -4*n + h. Let d(q) = q**2 + q + 56. Calculate the remainder when d(0) is divided by n.
27
Suppose -3*d + 6 = -3. Let g(k) be the third derivative of -k**6/120 + k**5/30 + k**4/12 + 2*k**3/3 + 2*k**2. What is the remainder when g(d) is divided by 1?
0
Suppose -h + 2*g + 402 = h, 5*g = -2*h + 416. Suppose h = 3*t - 163. What is the remainder when t is divided by 25?
22
Let l = -405 + 420. What is the remainder when 266 is divided by l?
11
Suppose -c - 4 = -2*c. Suppose -t = 0, t + 9 + 215 = c*v. Calculate the remainder when v is divided by 19.
18
Suppose 0 = l - 5*k - 6, 11*k + 24 = 4*l + 16*k. Calculate the remainder when ((-6)/(-9))/((-2)/(-33)) is divided by l.
5
Let r = -40 + 45. Suppose -a = -2*y - 67, r*a - 76 = 5*y + 269. What is the remainder when a is divided by 12?
11
Let d be 2/5 - (-274)/(-10). Suppose p = -w - 10, -4*p + 0*w + w = 30. Let o = p - d. Calculate the remainder when o is divided by 10.
9
Suppose 126 = 5*g + 1. Let x(t) = -t**2 + 2*t - 3. Let n be x(-3). Let w = n - -32. What is the remainder when g is divided by w?
11
Calculate the remainder when (-1132)/(-12) - 2 - 1/3 is divided by 2/(0 + 1) + 17.
16
Let p = -920 + 934. What is the remainder when 34 is divided by p?
6
Let b = -1568 - -1578. Let p = -8 - 23. Let x = 68 + p. What is the remainder when x is divided by b?
7
Let k = 38 - 77. Let v = 65 + k. Suppose 5*d + 0*d + 400 = 5*b, -3*b + 4*d = -244. What is the remainder when b is divided by v?
24
Let z(q) = q**3 - 6*q**2. Let l be z(6). Suppose 4*g - 47 - 341 = l. Let p = -1924 + 1949. Calculate the remainder when g is divided by p.
22
Suppose -3*h = j + 172 - 194, 2*j = -4. What is the remainder when ((-6)/(-4))/((-3)/(-76)) is divided by h?
6
Let y(g) = -g**3 - 2*g**2 - 4*g - 3. Suppose 2*c - 20 = 4*l + 122, 4*c + 5*l - 258 = 0. What is the remainder when c is divided by y(-3)?
13
Suppose -y + v + 43 = 0, 3*y + 2*v = 3*v + 129. Let x = 28 + -23. Suppose 2*q - x = -p + 16, 3 = -3*p. Calculate the remainder when y is divided by q.
10
Let f = -59 + 84. Suppose 1158 + 1267 + 95 = 180*u. What is the remainder when f is divided by u?
11
Let j = 444 - 206. Calculate the remainder when j is divided by 11.
7
What is the remainder when 238 is divided by 85/3 + (-33)/99?
14
Let p(n) = -2*n**2 - 4*n + 14. Suppose -106 + 12 = -m. What is the remainder when m is divided by p(0)?
10
Let u = 145 + -97. Let a = 54 + u. Calculate the remainder when a is divided by 36.
30
Suppose s + 113 = 3*y + 5*s, 4*y - 156 = -4*s. What is the remainder when 687 is divided by y?
42
Suppose -5*o = 5*t - 100, o - 30 = 4*t - 3*t. Calculate the remainder when 70 is divided by o.
20
Let i = -16 - -12. Let a be 1/(3/(-3) - -2). Calculate the remainder when (a - i)/(0 + 1) is divided by 4.
1
Suppose 5*j - 231 = -4*a, 2*a - 23 = 4*j + 73. What is the remainder when 375 is divided by a?
51
Let i(s) = s**2 - 2*s + 11. What is the remainder when i(4) is divided by 5?
4
Let i(l) = -3*l**2 - 2*l + 4. Let o be i(0). Suppose 0 = -o*x + 33 + 27. Calculate the remainder when 58 is divided by x.
13
Let h(j) = j**3 + 16*j**2 + 14*j + 8. Let y be h(-15). Let i = y - 15. Calculate the remainder when 20 is divided by i.
4
Let j = -2499 + 2638. Calculate the remainder when 415 is divided by j.
137
Let b = -9 + 9. Suppose b = 4*j - 68 + 20. Let m = 3 + 4. What is the remainder when j is divided by m?
5
What is the remainder when 167 is divided by (688/(-40))/(6/(-15))?
38
Let i(y) = y**2 + 18*y - 110. What is the remainder when 64/40*85/2 is divided by i(5)?
3
Suppose 33*r - 17*r - 544 = 0. Calculate the remainder when 85 is divided by r.
17
Suppose 2*n + 5*z - 113 = -44, 5*z + 260 = 5*n. Suppose 5*w - n - 73 = 0. Calculate the remainder when w is divided by 13.
11
Let m(y) = -15*y**2 + y - 1. Suppose -a = -2*o - 3, 0*o - 2 = -a + o. Let v be m(a). What is the remainder when 69 is divided by 5/(v/(-6)) + 16?
15
Suppose 8*d = 11*d - 12. Let s(a) = -a**2 + 4*a - 1. Let w be s(2). Suppose -m = -5*v + w*m + 46, 5*m - 4 = -4*v. What is the remainder when v is divided by d?
2
Let w = -101 - -138. What is the remainder when 89 is divided by w?
15
Let i = 111 + -7. Let l be (-1)/(-5) - i/(-5). Suppose p - l - 6 = 0. What is the remainder when p is divided by 15?
12
Suppose 0 = -5*u - 63 + 3. Let m = 26 + u. Calculate the remainder when m is divided by -2*2/3*-3.
2
Suppose b - 201 = 5*r, -543 = -3*b - 4*r + 117. Suppose 0 = 7*q - b - 22. Calculate the remainder when q is divided by 18.
16
Let p = -324 - -342. Suppose 6*g - 5 = g. Calculate the remainder when g + 1 + (-165)/(-5) is divided by p.
17
Let f(r) = -8*r**3 - r**2 - 9*r - 32. What is the remainder when f(-3) is divided by 6?
4
Let h = 12 + -10. Suppose 0 = 5*v + 15, -h*v = 5*i - 128 - 26. Calculate the remainder when (5 - -90) + -1 + -1 is divided by i.
29
Let g(u) be the first derivative of 7*u**2/2 - u + 11. What is the remainder when g(14) is divided by 20?
17
Calculate the remainder when ((-388)/(-10))/(58/145) is divided by 14.
13
Let z be ((-6)/(-5))/(3/(-15)). Let i = 2 - z. Let b = i + -1. What is the remainder when 13 is divided by b?
6
Let g = 6 - 0. Let z = g - 1. Suppose -4*d - 30 = -z*n, -2*d = 5*n - 6*n. Calculate the remainder when 37 is divided by n.
7
Let m be (1 + -3)/(-1 - 0). Suppose 14 = m*k + 2. Calculate the remainder when 0 + 3 - (k + -92) is divided by 30.
29
Let i = 446 + -148. What is the remainder when i is divided by 25?
23
Suppose -3*q + f = -69 - 15, -90 = -3*q + 3*f. Suppose 24 = q*a - 23*a. What is the remainder when 22 is divided by a?
4
Let j = 3 - 10. Let w = 7 + j. Suppose w = -5*y + 3*g + 69, 3*g + 30 = 3*y - 9. Calculate the remainder when 59 is divided by y.
14
Suppose -6*y + 42 + 0 = 0. Suppose 0 = 4*a + y*a - 814. Calculate the remainder when a is divided by 25.
24
Let x(l) = 5*l**2 + 2*l - 19. Let w(b) = 14*b**2 + 5*b - 57. Let j(y) = -6*w(y) + 17*x(y). Let a = 21 - 10. Calculate the remainder when j(0) is divided by a.
8
Let c be (-2 - 0/(-3))*2. Suppose 10 = -y - 5*m + 65, 4*m = -2*y + 86. What is the remainder when 80/y + c/14 is divided by 2?
0
Let r be (-757)/(-5) - 26/65. Suppose -3*k - 2*k + 271 = -3*o, 4*o = -3*k + r. What is the remainder when 104 is divided by k?
51
Suppose -6*n + 170 = -28. What is the remainder when n is divided by 2/1*(-56)/(-16)?
5
What is the remainder when (5/((-30)/(-51)))/((-3)/(-18)) is divided by 29?
22
Suppose -1299*a + 2 = -1298*a. Calculate the remainder when 6 is divided by a.
0
Let l = 69 - 40. Calculate the remainder when l is divided by 29.
0
Suppose -2*c + 2 = l - 0, -4 = -2*l - c. Suppose -60 = -107*w + 103*w. What is the remainder when l/4 - 53/(-2) is divided by w?
12
Let r(u) = 2*u + 67. What is the remainder when r(13) is divided by 14?
9
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