vided by f?
5
Let o(u) = u**3 + 11*u**2 - 23*u + 42. Let d be o(-13). Suppose d*a + 5*n = 103, a + 0*a - 5*n - 61 = 0. Calculate the remainder when 204 is divided by a.
40
Let g = 530 + -370. Calculate the remainder when g is divided by 41.
37
Suppose -2*a + 4*r + 6 = 0, 4*a - 6*r = -4*r + 6. Suppose -a = q - 29. Suppose 3*m - q = m. Calculate the remainder when 26 is divided by m.
12
Let r = 3304 + -3178. What is the remainder when r is divided by 31?
2
Let t = -107 + 177. Calculate the remainder when t is divided by 11.
4
Suppose 0 = 2*h - 2*d - 64, 10*h - 3*d - 60 = 8*h. Calculate the remainder when h is divided by 16.
4
Let h(u) = u**2 - 20*u + 83. Calculate the remainder when 68 is divided by h(15).
4
Let o be 1/(1/55*5). Let v = -6 + o. What is the remainder when v is divided by 3?
2
Suppose -4*b = -b + 9, -5 = -p - 2*b. Suppose -9*w = -p*w + 104. Calculate the remainder when w is divided by 28.
24
Let z(v) = v + 24. Let s = 45 + -24. Suppose 0 = 2*p - 3*q - 0*q - s, 2*q = -p + 21. Calculate the remainder when z(4) is divided by p.
13
Suppose l - 4*l = -165. Suppose -1 = -4*p + l. Calculate the remainder when p is divided by (36/(-15) + 2)*-20.
6
Let i(r) = -r**3 + 3*r**2 + 2*r - 3. Let q be i(3). Suppose -3 = q*c - 6*c. Let w = c + 5. What is the remainder when 15 is divided by w?
3
Suppose 4 = -2*i - 10. Let s be (6 + i)/((-1)/3). Let z(w) = 2*w**2 - 4*w. What is the remainder when 10 is divided by z(s)?
4
Suppose 0 = 2*p - p - 108. Let h(i) = -6*i**3 + 5*i**2 + 8*i + 3. Calculate the remainder when p is divided by h(-2).
53
Suppose -24 + 4 = -5*l. Let y = 9 - l. Suppose 54 = 5*w - 41. Calculate the remainder when w is divided by y.
4
Suppose 91 = 4*r + 11. Let s = 47 + -19. Let m = s - r. What is the remainder when 22 is divided by m?
6
Let g(y) = -3*y + 19. Let u be g(14). Let n = u + 29. What is the remainder when 13 is divided by n?
1
Suppose 0 = 10*z - 1349 + 139. What is the remainder when z is divided by 31?
28
Let s = 70 + -32. What is the remainder when 19/s + (-78)/(-4) is divided by 7?
6
Suppose 4*d + 22 = 5*d + 2*c, 3*d + 3*c = 78. What is the remainder when 146 is divided by d?
26
Suppose 3*f - 7*f = -48. Let q = 42 - -15. Calculate the remainder when q is divided by f.
9
Suppose -4*z - 6*h = -h - 36, 4*z + h = 20. Let y(k) = -k**2 - 2*k + 23. Let v be y(4). Calculate the remainder when 21 is divided by v/z + (-135)/(-12).
10
Suppose 59 - 10 = 2*q - 3*n, 26 = 3*q + 5*n. Calculate the remainder when q is divided by 2/(1 - -1)*6.
5
Let c(f) = -f**2 + 5*f. Let h be c(5). Let o be (-52)/234 - (-128)/9. Suppose 2*k = -h*k + o. What is the remainder when 18 is divided by k?
4
Suppose 4*x - 4*j + 54 = -9*j, -3*j - 28 = 2*x. Let f = x - -15. Calculate the remainder when (f + -3)/((-3)/(-123)) is divided by 7.
6
Suppose -30*f + 1260 = -12*f. Calculate the remainder when f is divided by 28.
14
What is the remainder when 2/((-1202)/(-200)*1 + -6) is divided by 15?
5
Let m = 17 - -6. Suppose 5*s + 10 = 35. Suppose z - 2*o = 10, -2*o + 26 = s*z - 0*o. Calculate the remainder when m is divided by z.
5
Let f = -433 + 494. What is the remainder when 420 is divided by f?
54
Suppose -3*k - 2*k = -80. Let n(o) = -o**3 + 14*o**2 + 34*o + 10. What is the remainder when n(16) is divided by k?
10
Suppose 0 = 26*o - 28*o - 28. Let z = o - -28. Calculate the remainder when 25 is divided by z.
11
Suppose -30*n = -25*n - 710. What is the remainder when n is divided by 24?
22
Let d(z) = z**3 - 7*z**2 + 10*z + 6. Let o be d(5). Suppose -o*s + 35 = -s. What is the remainder when 34 is divided by s?
6
Let p = 8 - 26. Calculate the remainder when 59 is divided by (-1)/6 - 273/p.
14
Let w = -54 + 88. Let v(n) = n**2 - 6*n + 8. What is the remainder when -1*(2 + (2 - w)) is divided by v(6)?
6
Let i be (2 - 104/(-4))/2. Let z = i - -5. Calculate the remainder when 35 is divided by z.
16
Let r(w) = -w**2 - 3*w + 9. Let h be r(-4). Let g be 16/6 - h/(-15). Suppose -y + 3*y + 2 = -2*p, -g*y - 19 = -p. What is the remainder when 8 is divided by p?
0
Suppose -10*w + 17 + 2673 = 0. Calculate the remainder when w is divided by 9.
8
Suppose 6 + 10 = 2*w. Suppose 610 - 445 = 11*j. What is the remainder when j is divided by w?
7
Suppose 3*m - 6*m + 267 = f, -2*f = 2*m - 530. What is the remainder when f is divided by 19?
17
What is the remainder when -1 - (-3 - 1) - -28 is divided by (7 + 188/(-16))/((-4)/16)?
12
Let x be (0/3)/(6/(6 - 3)). Suppose x = q + 4*w - 2, -2*w - 32 = 2*q - 7*q. Suppose 0 = 2*t + 4 - 8. Calculate the remainder when q is divided by t.
0
What is the remainder when (-2174)/(-10) + (-3)/(-5) is divided by 14?
8
Suppose -3*g = -5*v - 94, 4*v + 135 = 5*g - 0*g. Suppose -340 - 11 = -39*j. What is the remainder when g is divided by j?
5
Let w = 74 - 43. Suppose 2*j - 2*v = 4, 0 = -5*j + 3*v + w - 13. What is the remainder when 16 is divided by j?
4
Let w(n) = 3*n**3 + 132*n**2 + n + 150. Calculate the remainder when w(-44) is divided by 23.
14
Let i(g) = 2*g + 11. Let c(f) = 3*f + 23. Let o(a) = 3*c(a) - 5*i(a). Let w be o(8). Suppose 0 = w*l - 2*l - 40. What is the remainder when 19 is divided by l?
9
Let x = 2412 - 2387. Calculate the remainder when 247 is divided by x.
22
Let j = 32 - 15. Calculate the remainder when (-3)/(3*1/(-31)) is divided by j.
14
Let w(f) be the first derivative of -f**4/4 + 3*f**3 - 3*f**2 - 17*f - 20. Calculate the remainder when w(7) is divided by (14/5)/((-2)/(-10)).
11
Suppose 3*c + 21 = -w + 8, -w - 4*c - 17 = 0. Let b = -34 - -48. What is the remainder when (-47 - 5)/(2/w) is divided by b?
12
Let g(z) = -z**2 + 2*z - 5. Let h(i) = -2*i**2 + 3*i - 11. Let m(j) = 13*g(j) - 6*h(j). Calculate the remainder when 31 is divided by m(7).
7
Let g(q) = q**2 + q + 4. Let z be (-7)/3 + (-2)/3. Let w be 0*(1 + z/2). What is the remainder when g(w) is divided by 2?
0
Let z(b) = -6*b - 14. Let j be z(-6). Let c = 52 - j. Suppose 4*o + c = 7*o. Calculate the remainder when o is divided by 4.
2
Let i(d) = 2*d**2 - 24*d + 9. What is the remainder when 32 is divided by i(12)?
5
Let t(n) = -n**3 + 63*n**2 - n + 104. Calculate the remainder when 488 is divided by t(63).
37
Suppose 5*i - 3 = 2*i. Let f(c) = c + 1. Let y be f(i). Suppose -12 - 36 = -y*o. Calculate the remainder when 47 is divided by o.
23
Suppose -4*f + 15 = -1. What is the remainder when 52 is divided by -54*((-55)/(-15) - f)?
16
Suppose -3 = 3*t, -5*o + 4*t + 54 = -55. Calculate the remainder when 98 - -4 - (-3 - -3) is divided by o.
18
Suppose -2*x = 2*i - 1010, -x = -i - 4*i + 2507. Calculate the remainder when i is divided by 64.
54
Let z(y) = 99*y**2 + 3*y + 3. Calculate the remainder when z(-1) is divided by 17.
14
Let u(q) = -2*q - 3. Let o be u(7). Let b = o + 26. Let j(v) = -v**3 - 20*v**2 + 22*v + 45. What is the remainder when j(-21) is divided by b?
6
Let p = -1362 + 1477. Calculate the remainder when 456 is divided by p.
111
Let a = 25 - -3. Suppose -36*p + 39*p - 6 = 0. What is the remainder when p - (2 + (-1 - 52)) is divided by a?
25
Calculate the remainder when -12*((-24)/(-9))/(-4) is divided by 5.
3
Let y(v) = -20*v - 6*v**2 + 2*v**2 + v**2 - 19 + v**2. What is the remainder when 51 is divided by y(-8)?
12
Let i(y) = -y**3 - 4*y**2 + 2*y + 12. Let a be i(-4). Suppose 0*g = -a*g + 112. What is the remainder when g is divided by 16?
12
Suppose -h + 2*x = -1 + 10, -2*x = -3*h - 43. What is the remainder when (h*(2 + -1))/((-3)/3) is divided by 10?
7
Suppose -3*c - 39 = -126. Suppose 2*h - 13 = c. What is the remainder when h is divided by 4?
1
Let c(x) = x**3 + 6*x**2 + 7*x + 10. Let f be c(-5). Suppose 6*w - 3*w - 9 = f. What is the remainder when (w - 2)*(33 + 9) is divided by 22?
20
Let u be -1 + 11/3 + 4/(-6). Suppose -2*y - u*a + 82 = 0, -119 = -0*y - 3*y - 2*a. Calculate the remainder when y is divided by 21.
16
Suppose -270*g + 344 = -268*g. Calculate the remainder when g is divided by 18.
10
Let l(h) = 2*h + 1. Let s be l(5). Let k = s - 5. Suppose 93*z - 87*z - 54 = 0. Calculate the remainder when z is divided by k.
3
Let d = 120 + -76. Let x = 50 - d. What is the remainder when x is divided by 4?
2
Let d(y) = -y**3 + 6*y**2 - 4*y - 5. Let a be 75/20 + 9/(-12). Suppose 0 = -a*r + 4*r - 4. What is the remainder when 20 is divided by d(r)?
9
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