Suppose i*x = -a - 0*x + 44, 4*a - 66 = 2*x. Suppose 0 = 7*v + 3*v - 560. Calculate the remainder when v is divided by a.
18
Let u be ((-5)/4)/((-2)/8). Suppose 7*x + 0*x = 0. Suppose x = -u*d + 7*d - 100. What is the remainder when d is divided by 26?
24
Let o be (-4)/(-18) + 2656/36. Suppose 29*x + 104 = 31*x. Let z = o - x. What is the remainder when z is divided by 6?
4
Suppose -10*c - 2*q = -11*c + 1337, -c - q + 1346 = 0. What is the remainder when c is divided by 17?
0
Let z = 39 + 49. Suppose -y = -6*y - 4*o + 183, 0 = -4*o - 429 + 457. What is the remainder when z is divided by y?
26
Let r(z) = 13*z - 2. Let p be r(8). Let k(f) = 9*f**2 - 4*f + 5. Let w be k(-4). Let l = w - p. What is the remainder when l is divided by 17?
12
Let g be 115/20 - 1*(-4)/16. Suppose 2*w = -10, -g*w + 3*w = j - 5. Suppose -v - j + 44 = 0. Calculate the remainder when v is divided by 14.
10
Suppose 6*v = -8*v + 238. Suppose -3*h - 348 = -v*j + 13*j, -j = -h - 87. What is the remainder when j is divided by 32?
23
Let t = 217 + -205. Let o(r) = 10*r + 152. What is the remainder when o(t) is divided by 21?
20
Suppose 4041 - 990 = -9*s. Let b = s - -608. Calculate the remainder when b is divided by 16.
13
Let q(s) = -2*s**2 + 13*s. Let g be q(6). What is the remainder when 1*g/(-2) - -52 is divided by (10 - -107)*(-4)/(-18)?
23
Let o(x) = 37*x**2 - 39*x - 33. Calculate the remainder when o(12) is divided by 14.
11
Let p(s) = 194*s**2 - s + 1. Let j be p(1). Suppose 2*c - j = 3*t, -5*c - 7*t + 3*t = -462. Calculate the remainder when c is divided by 64 - 6 - (167 + -128).
18
Suppose 2*w = 10, 4*p - 5*w - 14 = 21. Suppose -p*m = 7*m - 176. Let q(a) = a**2 - a. Calculate the remainder when q(5) is divided by m.
4
Suppose 2*b + 4*l = 62, 93 + 22 = 3*b - 5*l. Let q(h) = -3*h**3 - 3*h**2 - 3*h + 1. Let g = 39 - 41. What is the remainder when b is divided by q(g)?
16
Suppose 4*l + l = -2*j + 25, 5*j - 73 = -2*l. Calculate the remainder when j is divided by (489/815)/((-6)/(-10)).
0
Suppose -43*x + 14*x + 116 = 0. Let o = x - -46. What is the remainder when 125 is divided by o?
25
Let o = -411 - -285. Let p = o - -168. What is the remainder when 162 is divided by p?
36
Suppose 2*l + 2*l = -4*v - 1036, -782 = 3*l + 2*v. Let d = 122 - l. What is the remainder when d is divided by 39?
35
Let f(m) = m**2 - 103*m + 2527. Let i be 4/3*(-9)/(-6). What is the remainder when i/6 - 95/(-3) is divided by f(40)?
4
Let m(q) = -q**2 - 203*q + 3403. What is the remainder when 5578 is divided by m(15)?
125
Let k(a) = -a**3 + 5*a**2 - 8*a + 10. Let o = -883 - -886. Calculate the remainder when 15 is divided by k(o).
3
Let q(f) be the first derivative of 3*f**2/2 + 43*f - 1. Suppose 0 = -318*z + 323*z + 45. What is the remainder when 158 is divided by q(z)?
14
What is the remainder when 105 is divided by 23*6/(-2)*16/(-16)?
36
Suppose -4*h + 4 + 8 = 0. Suppose -h*f = -104 - 34. Calculate the remainder when f is divided by 29.
17
Suppose 32*f - 11*f = -336. Suppose 33 = -h - 2. Let c = f - h. What is the remainder when 73 is divided by c?
16
Let y(h) = h**3 + 5*h**2 + 8*h - 23. What is the remainder when (0 + 78)/(-2 + 4) is divided by y(2)?
18
Let c(w) = 3*w**2 + 6*w. Let l be 3/(-3) + 46 + 11. Suppose 0 = -4*r + 4*y + l, 7*y = -4*r + 4*y + 49. Calculate the remainder when c(-4) is divided by r.
11
Let j = 9 + 22. Suppose g = 2*n + 5*g - 226, 4*n - 3*g - 441 = 0. What is the remainder when n is divided by j?
18
Suppose -45 = -b - 3*y, 140 = 4*b - 46*y + 50*y. Calculate the remainder when 564 is divided by b.
24
Suppose -h - 111 = -4*c, 24 = -c + 2*c - h. Let d = -18 + c. Suppose 15*j - 52 = d*j. Calculate the remainder when 36 is divided by j.
10
What is the remainder when -2 + 1/(3/126) is divided by (((-75)/(-350))/((-2)/7))/((-3)/60)?
10
Let x be 464903/404 + (-1)/(-4). Suppose 3*i = -152 + x. What is the remainder when i is divided by 84?
81
Let y(h) = -h**3 + 18*h**2 - 4*h + 70. Let f be y(18). What is the remainder when 271 is divided by ((-966)/(-115))/(f/(-5))?
19
Let d(i) = i**3 + 50*i**2 - 151*i - 366. Calculate the remainder when d(-52) is divided by 139.
132
Suppose 17*h = -13*h + 1890. Suppose 4*v = 3*t - 4*t - 8, 5*t = 3*v - 17. What is the remainder when h is divided by (-4)/(-5)*(-80)/t?
15
Suppose 678*r + 715 = 689*r. Calculate the remainder when 1111 is divided by r.
6
Let d = 34 - 19. Suppose -5*t - 30 = -d*t. Suppose 2*z - 4 = -14, -4*k = t*z - 97. What is the remainder when k is divided by 17?
11
Suppose -78*t + 298987 = 31*t. Calculate the remainder when t is divided by 41.
37
Let c be 12 + -4*(-6)/24. Suppose 0 = 17*x - c*x - 48. Suppose 4*i - 5*i = -5*t - 126, -i = 3*t - 94. What is the remainder when i is divided by x?
10
Suppose 3*p + 335 = 5*s, s = -2*s + 3*p + 195. Let o be 4/28 - (3930/14)/5. Let v = o + s. Calculate the remainder when v is divided by 4.
2
Let w = -1110 + 1156. What is the remainder when 260 is divided by w?
30
Suppose t + 897 = 4*u, 7*u - 2*u - 1105 = -2*t. Let w = u - 175. Calculate the remainder when 163 is divided by w.
19
Suppose 0 = 28*b + 2329 - 13809. Let x = -366 + b. Calculate the remainder when x is divided by 7.
2
Suppose 5*h + 2*s - 131 = 0, 2*h - 7*h - s = -133. Calculate the remainder when 1023 is divided by h.
24
Suppose 2*z - 3*v + 6*v = 20, 0 = z - 5*v - 10. Let x = z - -1. Calculate the remainder when -6*(-2)/(60/370) is divided by x.
8
Let v(i) be the third derivative of i**5/30 + 9*i**4/4 + 16*i**3/3 + 15*i**2 - 2. Calculate the remainder when v(-27) is divided by 18.
14
Suppose 5*l - 563 = -4*s, -4*l - 237 = 5*s - 925. What is the remainder when s is divided by -37*(2 + -1 + -2)?
21
Suppose 28 = 2*t - 28. Suppose 0 = -5*y + 20. Calculate the remainder when -1*(t/(-4) - 1) is divided by y.
0
Let r be (-34)/51 - 16/(-6). Calculate the remainder when 19 - (-2 + r)/8 is divided by 6.
1
Suppose -5*k - 24 = -3*g + 647, 0 = 4*g - 4*k - 892. What is the remainder when g is divided by 102?
18
Let a = 90 - -6. What is the remainder when 1337 is divided by a?
89
Let a(k) = -6*k + 162. Let g(t) = t**3 - 15*t**2 + 26*t + 21. Let b be g(13). What is the remainder when 467 is divided by a(b)?
35
Suppose 18*x - 2*t = 14*x + 5300, -x = -2*t - 1325. Calculate the remainder when x is divided by 125.
75
Let m = -34303 - -34348. What is the remainder when 809 is divided by m?
44
Suppose 20 = 8*q - 4*q. Suppose -18 = -q*v - 2*p + 6, -4*v + 3*p + 33 = 0. Suppose v*j + 32 = 10*j. Calculate the remainder when 55 is divided by j.
7
Let g(z) = -z**3 + 7*z**2 + 5*z - 30. Let b be g(7). Suppose -4*x = b*t - 315 - 116, 0 = -x + 5*t + 114. What is the remainder when x is divided by 14?
11
Let d be 0 - (-6)/(-15) - (-3)/(255/34). Let g = 5 - 3. Suppose d = -5*t + 2*t + 2*m + 65, -11 = -t - g*m. Calculate the remainder when 56 is divided by t.
18
Suppose 3838 = -18*j + 19*j + 5*b, 7716 = 2*j + 2*b. What is the remainder when j is divided by 138?
137
Suppose -y - z + 37 = -91, 0 = y - 3*z - 148. What is the remainder when 168 is divided by y?
35
Let o be (-7 + (-1509)/6)*-10. Suppose 405 = 23*z - o. Calculate the remainder when z is divided by 9.
4
Let u(c) = 6*c - 4. Let p be u(2). Let o be 0*(6/p)/3. Suppose 77 = -0*f + 4*f + b, o = 4*b + 12. Calculate the remainder when 77 is divided by f.
17
Let l(p) = 2*p**2 + 2*p - 6. Let x be (13 - 14)*((-10)/(-2) + -1). Let a be 6/x*(52/6 - 6). What is the remainder when 107 is divided by l(a)?
17
Let m(n) = 5*n**2 + 22*n - 19. Let k = 102 - 110. Let i be m(k). Let a = i + -82. Calculate the remainder when a is divided by 18.
7
Let y(w) = 15*w**3 - 18*w**2 - 13*w + 6. What is the remainder when y(6) is divided by 839?
3
Calculate the remainder when (-75)/45*6 + 333 is divided by 75.
23
Let t = -75 - -90. Suppose -o + 4 = -0. Let y = 39 + o. What is the remainder when y is divided by t?
13
Let a(k) = k**3 + k. Suppose -46*j + 44*j - 4 = 0. Let t be a(j). Calculate the remainder when ((-136)/t)/((-30)/(-75)) is divided by 9.
7
Let z = 53 - 29. Let n(r) = -40*r - 13. Let p be (-6)/(-4)*(-3 - (-10)/6). What is the remainder when n(p) is divided by z?
19
Calculate the remainder when 1581*(10 - 406/42) is divided by 527.
0
Let l(k) = -k**2 - 66*k - 403. Calculate the remainder when 178 is divided by l(-7).
8
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