8?
15
Suppose 5*v - 5*y + 20 = 0, 4 = -2*v + 3*y - 7. What is the remainder when 35 is divided by 4 - 2 - (2 + v)*-17?
16
Let i(v) = -v**2 - 4*v - 3. Let a(r) be the third derivative of -r**5/60 - 5*r**4/24 + 5*r**3/2 + 12*r**2. What is the remainder when a(-7) is divided by i(-2)?
0
Let p(c) = -2*c + 6. Let k be p(-2). What is the remainder when 1/(-2)*-1*58 is divided by k/(0 - (3 - 4))?
9
Suppose -16*f + 14*f = -4. Suppose -2*q = n - 5*n - 106, 0 = -f*q + n + 106. Calculate the remainder when q is divided by 14.
11
Suppose 15 = 4*t + 3. Let d be (-1)/(4/64) - t. Let x = d + 43. What is the remainder when 46 is divided by x?
22
Suppose -23 = y + 2*y - 4*m, -3*m = 4*y + 39. Let k(r) = -r + 21. Calculate the remainder when 117 is divided by k(y).
27
Let w be (-108)/16*((-40)/3)/1. Suppose 14 = -2*q + w. Calculate the remainder when q is divided by 20.
18
Suppose -2 - 4 = 2*s. Let o(n) = n**3 + 3*n**2 + 3*n + 6. Let v be o(s). Let p(x) = -8*x - 1. Calculate the remainder when p(v) is divided by 6.
5
Let f(x) be the third derivative of -x**5/60 + x**4/12 + 16*x**3/3 + 14*x**2. Let y(n) = 63*n**2 - n. What is the remainder when y(1) is divided by f(0)?
30
Let h(l) = -l**2 + 15*l - 1. Let u = -4 + 6. Calculate the remainder when 820/16 - u/8 is divided by h(14).
12
Let c(k) = -k**2 + 7*k + 5. Let b be c(8). Suppose -3*p + 888 = 234. What is the remainder when (b - -2)/((-2)/p) is divided by 28?
25
Suppose 5*n + 13 = 2*c + 76, 3*c = 3*n - 36. What is the remainder when 140 is divided by n?
10
Let z = -2201 - -2487. Calculate the remainder when z is divided by 74.
64
Let w = -31 - -25. Let g be w/8 - 24/(-32). Suppose 11 = 2*m - 5*q, g*q + 5 = q. What is the remainder when 53 is divided by m?
17
Let g = 13 - 12. Let f(s) = -s - s + s + g. What is the remainder when f(-10) is divided by 7?
4
Suppose -5*b = -3*w - 232, b + 6*w = w + 24. Suppose 16 = 4*r, -4*r + 7*r - b = -4*u. Calculate the remainder when 39 is divided by u.
7
Suppose g - 3 = -f - 0*g, f - 9 = -4*g. Calculate the remainder when 23 is divided by f*12 + (7 - 11).
7
Let i be (-4 - -10) + -2 + 2. Suppose -i*v + 9*v - 156 = 0. What is the remainder when v is divided by 9?
7
Suppose 0 = -c - 0*c + 11. Suppose 9*d = 10*d. Let n = 6 + d. What is the remainder when c is divided by n?
5
Let r(q) = 3*q - 2. Let n be r(2). Let w(h) = -h**3 + 6 + 5*h**2 + n*h**2 - 6*h + 0 + 1. What is the remainder when w(8) is divided by 6?
5
Let z = -2025 - -2848. What is the remainder when z is divided by 59?
56
Suppose -t = 3*u - 186, -9*u - 124 = -11*u - 5*t. Calculate the remainder when u is divided by 8.
6
Let y = -1730 - -1763. What is the remainder when 86 is divided by y?
20
Let o(z) = 3*z + 10. Suppose 0 = -0*k + k + 8*k. What is the remainder when o(k) is divided by 2?
0
Let v be 88/66*42/4. Suppose -145 + 19 = -v*u. Calculate the remainder when u is divided by 4.
1
Let a = 104 + -40. Calculate the remainder when a is divided by (-9)/(-2*(-12)/(-48)).
10
Suppose x + 4*f = 21 + 20, 81 = 3*x - 2*f. Calculate the remainder when (-2*33/(-6))/(2/10) is divided by x.
26
Let q be 64/(-24)*18/8. What is the remainder when (-196)/q - (-10)/30 is divided by 18?
15
Let l = -1929 - -2708. Calculate the remainder when l is divided by 34.
31
Let t be -2 - -5 - (-1 + 3). Let q be 75 - (3 - t)/2. What is the remainder when -1 - q*2/(-4) is divided by 19?
17
Let l(b) = 4*b**2 + 28*b - 11. What is the remainder when l(-8) is divided by (0 + -8)*(-1)/2?
1
Let k(u) = 18*u - 23. What is the remainder when 45 is divided by k(2)?
6
Let y(r) = 7*r**2 - 4*r + 3. Let w be y(1). Suppose -2*a + w*a = -2*s + 342, 1 = s. What is the remainder when a is divided by 22?
19
Let z(y) = -y**3 - 37*y**2 - 37*y + 26. What is the remainder when z(-36) is divided by 7?
6
Let j(o) = o**3 + 9*o**2 - 6*o - 9. Let a(u) = -u + 1. Let f be a(10). What is the remainder when j(f) is divided by (-21)/(-49) - 81/(-7)?
9
Suppose 0 = 4*s - 3*y + 13, -2*y + 18 = -4*s - 0*y. Let a(i) = -26*i - 29. What is the remainder when a(s) is divided by 39?
36
Suppose -3*n = -0*n. Suppose 0 = -n*z + 2*z - 28. Calculate the remainder when 41 is divided by z.
13
Let f = -2 - -2. Let m be (1 + 53)*((-5)/(-10))/1. Suppose f = g - m + 9. Calculate the remainder when 34 is divided by g.
16
Calculate the remainder when 8/(-44) - 9635/(-55) is divided by 8.
7
Let w be (-4 - (-1 - 7)) + 37. Let z = w - 27. What is the remainder when 23 is divided by z?
9
Let i(t) = -t**2 + 6*t + 4. Let d be i(6). Let f be (-2 - -7)*4/d. Suppose 10*o = f*o + 155. What is the remainder when 90 is divided by o?
28
Let h be (5/(15/144))/(-1). Let j = 29 - h. Calculate the remainder when j is divided by 20.
17
Let a = -75 - -44. Let o = a + 78. Suppose 4*f + 0*f - 4*h - 84 = 0, -4*f + 5*h + 80 = 0. Calculate the remainder when o is divided by f.
22
Suppose 0 = 6*y - 1 - 71. Suppose 5*i - 2*i = y. Calculate the remainder when 14 is divided by i.
2
Let w = 207 + -128. Let a = w + -45. What is the remainder when a is divided by 5?
4
Suppose 344 = 5*j - 131. Suppose -12*v + 156 = -264. Calculate the remainder when j is divided by v + ((-9)/12)/(1/4).
31
Let o(z) = -7*z + 378. Calculate the remainder when o(32) is divided by 78.
76
Let z be (1/(-2))/(1/2). Let d(u) = -u**2 - 5*u - 1. Let l be d(-4). Calculate the remainder when 9*8 - (l + z) is divided by 24.
22
Let n = -121 + 155. Calculate the remainder when 117 is divided by n.
15
Suppose 25 = 6*a - a + 5*c, -3*a = -2*c - 30. What is the remainder when 158 is divided by a?
6
Calculate the remainder when -6 + 33*28/21 is divided by 13.
12
Suppose 0 = -5*p + 9*p - 564. Calculate the remainder when p is divided by 77.
64
Suppose 3*p - 3*r = 27, -p + 3*r = r - 13. Suppose 4*h - 83 = p. Suppose 0 = -5*z - 10, h = 2*j + z - 118. Calculate the remainder when j is divided by 24.
23
Let r = -36 + 65. Calculate the remainder when 42693/777 + (-6)/(-111) is divided by r.
26
What is the remainder when 310 is divided by (-7 - -15) + 22 + (-5)/1?
10
Let t(g) = -g**2 + 8*g - 15. Let x be t(5). Suppose x*m - 402 = -3*m. What is the remainder when m is divided by 34?
32
Let f = 20 - -64. What is the remainder when f is divided by 37?
10
Let p(y) = y**2 - 13*y + 29. Calculate the remainder when p(11) is divided by ((-6)/9)/(2/(-9)).
1
Let s(x) = -x**3 + 5*x**2 + 4*x + 53. Calculate the remainder when 139 is divided by s(6).
16
What is the remainder when 612/(-8)*(5 + -23) is divided by 92?
89
What is the remainder when 81 is divided by 152/5 - 33/(-55)?
19
Suppose 3*b = 2*b + 66. What is the remainder when b is divided by (69/(-15))/((-9)/45)?
20
Suppose 0 = -6*a + 2*a. Let r = 10 - 9. Suppose 3*y + r - 88 = a. Calculate the remainder when 85 is divided by y.
27
Suppose -8*z + 16 = -6*z. Suppose -i + 1 = -2*i, 5*i - 105 = -5*q. What is the remainder when q is divided by z?
6
Let y(t) = t**2 + 18*t - 240. What is the remainder when 128 is divided by y(11)?
49
Suppose 4*x - 90 = -70. Let q = 8 + 21. Suppose -2*v = -q - x. What is the remainder when 33 is divided by v?
16
Let y = 7 - 10. Let k(a) = -a**3 - 8*a**2 - 2*a - 6. Let m be k(-8). Let j = m + y. Calculate the remainder when 19 is divided by j.
5
Suppose -3*l - 3*f = -60, 2 = 3*l + f - 48. Suppose -21 = d + 52. Let s = d - -131. What is the remainder when s is divided by l?
13
Let f be 26/4 + 5/10. Suppose 0 = -13*q + f*q + 258. Calculate the remainder when q is divided by 22.
21
Let y be (-8)/28 - (-20)/(-28). Let r be 2/y + (-64)/(-16). Suppose 5*n = -4*p + n + 12, -p - r*n = 0. What is the remainder when 11 is divided by p?
5
Let s = 24 - 16. Let p = s + -4. Calculate the remainder when (-2)/9 + 368/36 is divided by p.
2
Suppose 19*n = 3*n + 4000. What is the remainder when n is divided by 23?
20
Suppose -k + 27 = -0. Suppose 0 = -b + 4*b - 111. What is the remainder when b is divided by k/(-9) - (-22 - 0)?
18
Let j = -261 - -423. Suppose -7*x = -x - j. Calculate the remainder when x is divided by 8.
3
Suppose 52 = 9*g - 65. What is the remainder when 34 is divided by g?
8
Suppose 5 = j - 5. Let z = -38 + 36. What is the remainder when -3*2/z - (-14 + -2) is divided by j?
9
Suppose 198 = -g + 7*g. Let u = 4 + g. Suppose -t + 0 + 3 = 0, m + t - 13 = 0. What is the remainder when u is divided by m?
7
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