hen 391 is divided by (-22)/(-99) + (-1040)/(-18) + -2?
55
Suppose 251*n - 3546 = 245*n. Calculate the remainder when n is divided by 54.
51
Suppose 0 = 2*u - 4*c - 374, 0*u = 4*u - c - 762. What is the remainder when u is divided by 13?
9
Let q be 2/(-13 + 7) - 2/(-6). Suppose q = 5*v - 10, -2*l = -v + 3*v - 110. Calculate the remainder when l is divided by 14.
11
Suppose -3*v - 20 = -5*v + 2*b, -4*b - 48 = -5*v. Suppose -3 = -3*w + 2*w. Suppose 0 = l - w. Calculate the remainder when v is divided by l.
2
Suppose -197 = -5*k - 37. Suppose 24 = -39*w + 41*w. Calculate the remainder when k is divided by w.
8
Let a(l) = -l**3 - 18*l**2 - 5*l + 4. What is the remainder when a(-18) is divided by 8?
6
Suppose 2*w + 4*g - 7 = -3, -2*w = 2*g - 2. Calculate the remainder when (-2 + w)*148/(-8) is divided by 19.
18
Suppose 2*y + 2*z = 16, 2*z + 2*z - 4 = 3*y. Suppose -15 = -250*g + 249*g. Calculate the remainder when g is divided by y.
3
Let l = -182 - -240. What is the remainder when 636 is divided by l?
56
Let c be 758/26 + 6/(-39). Let g = c + -8. Calculate the remainder when (1 + -1 - 2) + 64 is divided by g.
20
Suppose 0 = -4*j + 47 + 1161. What is the remainder when j is divided by 76?
74
Suppose -69*k = 9*k - 2808. What is the remainder when (-3)/18 + (-1286)/(-12) is divided by k?
35
Let n(q) = q + 5. Let w be n(-5). Let j(c) = 3*c**2 - 21*c - 10. Let r be j(10). Suppose w*l = -4*l + r. What is the remainder when 77 is divided by l?
17
Let k(r) = -2*r**3 - 5*r**2 + 8*r - 2. What is the remainder when 68 is divided by k(-4)?
12
Let g = 45 - 42. Suppose -42 = -0*u - g*u. What is the remainder when 34 is divided by u?
6
Let d(x) = 12*x**2 - x + 1. What is the remainder when -8 + ((-60)/(-6) - -18) is divided by d(1)?
8
Let f = 5244 - 2845. Calculate the remainder when f is divided by 20.
19
Let t(j) = -2 + 2*j - 16 + 2*j. Suppose m + 1 - 12 = 0. What is the remainder when m is divided by t(6)?
5
Suppose -3*j - 13 = -58. Suppose -2*w - 107 = 3*w + o, -3*o = -w - j. Let t = -2 - w. What is the remainder when t is divided by 10?
9
Calculate the remainder when 66*(4/(-15))/(6/(-15)) is divided by 10.
4
Let f be 36/(-30)*(-110)/4. Let g = f + -29. What is the remainder when 7 is divided by g?
3
Suppose -2*i = -3*t + 316 - 18, -4*t + 2*i + 400 = 0. What is the remainder when t is divided by 40?
22
Let t(p) = -p**3 - 16*p - 17*p**2 + 273 + 0*p**2 - 254. Suppose 0*k + 9 = 3*k, 2*f + 3*k = 155. What is the remainder when f is divided by t(-16)?
16
What is the remainder when (-416)/(-12)*(-117)/(-52) is divided by 16?
14
Let u(s) = 15*s + 13. Calculate the remainder when 33 is divided by u(0).
7
Suppose -20 = -5*l, m + 6*l - 79 = 4*l. Calculate the remainder when 780 is divided by m.
70
Let h(o) = 15*o**3 + o. Suppose -210 = 4*n + 5*v - 965, 5*n - 945 = -5*v. Calculate the remainder when n is divided by h(1).
14
Suppose 24 = -7*y + 206. Let w be -1 + 31 - (2 - 4). Let d = w - y. What is the remainder when 7 is divided by d?
1
Suppose 0 = -c + 34*c - 297. What is the remainder when 285 is divided by c?
6
Let o(m) = 0*m + 10*m - 291 + 301 - m**2. Calculate the remainder when 74 is divided by o(9).
17
Let x = -11 - -16. Suppose -t = 4*t - x. What is the remainder when t is divided by 4/(-10) - 7/(-5)?
0
Let c(n) = -7*n - 6*n**2 + 17*n + 1 - n**3 + 0*n**3 + 0*n**2. Calculate the remainder when c(-8) is divided by 18.
13
Suppose 0 = 2*t + 5*w - 148, -3*t + 236 = 137*w - 133*w. Calculate the remainder when t is divided by 87/4 + 1/4.
18
Let t(m) = -m**3 - 6*m**2 + 15*m + 39. What is the remainder when t(-9) is divided by 78?
69
Suppose 5*b + 4 = -4*n, 36 = -0*n + 4*n - 5*b. Let v be -1*(-5)/((-10)/n). Calculate the remainder when 9 is divided by v*(-2 + 3)*-2.
1
Calculate the remainder when 5*5866/140 + 2/4 is divided by 56.
42
Suppose -21 = -2*f - v, -4*v = 229 - 233. Calculate the remainder when 49 is divided by f.
9
Let t(f) = 5*f + 1. Let q(m) = 6*m**2 + 7*m + 8. Let v(u) = -7*u**2 - 8*u - 9. Let b(r) = 6*q(r) + 5*v(r). What is the remainder when t(4) is divided by b(-3)?
3
Let d(k) = -17*k + 5. Let x be d(-7). Suppose 0 = w - 4*u - 14 - 39, -4*w = -3*u - 225. Calculate the remainder when w is divided by x/6 - 2/3.
17
Suppose 3*c = 5*r + 34, -16 = -c - 0*c - 3*r. Let d(w) = 49*w. Let t be d(5). Suppose -o - 4*o + t = 0. Calculate the remainder when o is divided by c.
10
Let j(z) = z**2 + 4*z - 9. Let k be j(-6). Let u be (3/3)/(k - 2). Suppose 5*o - 4 - u = 0. Calculate the remainder when 1 is divided by o.
0
Suppose 4*j - 87 = -c, -3*j + 2*c + 102 = j. Let t = j - 17. Let y(l) = 5*l - 8. What is the remainder when y(6) is divided by t?
4
Let l = -159 + 161. What is the remainder when 7 is divided by l?
1
Let i(c) = c**3 + 15*c**2 - 21*c - 55. Calculate the remainder when 47 is divided by i(-16).
22
Suppose -3*h - 5*i - 49 = 0, 2*h - 4*h - i - 21 = 0. Let n be h/(-40) - 204/(-5). Let m = n + -7. Calculate the remainder when m is divided by 12.
10
Let n(v) = -3*v**2 + 26*v - 4. Let x be n(8). Suppose -2*m + 8 = 4*s, -3*m + s + 14 = -x. Calculate the remainder when 15 is divided by m.
7
Let q = 23 + -20. Calculate the remainder when q/24*2 - 2072/(-32) is divided by 33.
32
Let f be (-1)/(-2) + (-103)/2. Suppose 16*o - 5 = 155. What is the remainder when (2/3)/((-2)/f) is divided by o?
7
Let h(j) = -2*j + 8. Let q be h(0). Let z = q - -22. What is the remainder when z is divided by 16?
14
Suppose -5*o + 4 = -3*f, 0*f = -f + 5*o + 2. Calculate the remainder when 31 is divided by (3/2)/(f/(-22)).
9
What is the remainder when 1/(1/109 - 0) is divided by 3/(3/(-74))*(-11)/22?
35
Let w(d) be the second derivative of 3/2*d**2 + 0 - 1/3*d**3 + 3*d. Calculate the remainder when 74 is divided by w(-8).
17
Suppose 4*x + 20 = 0, -11*q + 2*x + 84 = -9*q. What is the remainder when q is divided by 16?
5
Let t(i) = 78*i - 5. Let h be t(2). Suppose -100 = -4*b + 3*d + 20, h = 5*b - 4*d. Calculate the remainder when 52 is divided by b.
25
Let r(s) = -s**2 - s + 40. Calculate the remainder when 275 is divided by r(0).
35
Calculate the remainder when ((-78)/8)/(-5 - (-6417)/1288) is divided by 191.
164
Let u = 503 - 457. What is the remainder when 240 is divided by u?
10
Suppose -12*i + 8*i = -196. What is the remainder when 148 is divided by i?
1
Suppose w + 2*w - 15 = -5*b, 0 = -5*b. Let x = 12 + -7. Let f = 9 + x. Calculate the remainder when f is divided by w.
4
Suppose -97*m + 99*m = 20. What is the remainder when 68 is divided by m?
8
What is the remainder when 933*(0 + 11/33) is divided by 45?
41
Calculate the remainder when (-296)/(-3)*(1 + (-10)/40) is divided by 50.
24
Let w(m) = -m**3 + 7*m**2 + 3*m + 3. Suppose 23 + 12 = 5*f. Suppose 37*y = 35*y + 5*p + 137, 4*p = 4. Calculate the remainder when y is divided by w(f).
23
Suppose 10*d - 8*d - 2 = 0, 2*z = -3*d + 205. What is the remainder when z is divided by 26?
23
Let a be 47/(2*(-5)/30). Let y = a - -153. What is the remainder when 29 is divided by y?
5
Suppose -3*g + 13 = -38. Let w(v) = -5*v**2 - 8 + 0 + 4*v**2 - 3 - 16*v. What is the remainder when w(-10) is divided by g?
15
Let b be (-112 + 31)/((18/(-4))/3). Let v(x) = x. Let g be v(5). Suppose g*w - b = 51. What is the remainder when w is divided by 12?
9
Let z = -146 - -149. What is the remainder when 17 is divided by z?
2
Let q(g) = g**2 - 3*g - 13. Let u be q(6). Suppose 0*x + 110 = 5*v - 3*x, 0 = u*x - 25. Calculate the remainder when 124 is divided by v.
24
Let g(s) = 7*s**2 - s + 1. Let v = 27 - 29. What is the remainder when g(v) is divided by 7?
3
Let t = 89 - -21. What is the remainder when t is divided by 7?
5
Let p(a) be the third derivative of 1/5*a**5 + 1/120*a**6 - 7/12*a**4 - 5/3*a**3 - 5*a**2 + 0 + 0*a. What is the remainder when 8 is divided by p(-13)?
2
Suppose 233 = 4*x + 217, 2*p - 850 = -2*x. What is the remainder when p is divided by 47?
45
Suppose -76*n - 1237 = -9445. What is the remainder when 205 is divided by n?
97
Let u be (-3)/(48/484) + (-2)/(-8). Calculate the remainder when (12/u)/(-2*(-1)/(-90)) is divided by 7.
4
Let a = 29 + -26. Let m = a - -21. Calculate the remainder when m is divided by 10.
4
Suppose 7*i + y + 185 = 2*i, 0 = -i - 5*y - 13. Calculate the remainder when i/(-57) - (0 + 482/(-6)) is divided by 21.
18
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