 = 3*f**2 + 13 - f**2 - 6*f - 12. What is the remainder when t(4) is divided by 7?
2
Suppose 2*o - 781 = -5*q, -13*o + 11*o - 304 = -2*q. What is the remainder when q is divided by 12?
11
Suppose 6*n - n = 4*h - 450, 0 = -h - n + 108. Let m = -67 + h. What is the remainder when 126 is divided by m?
40
Let l be 23*3/(-6)*-2. Suppose -j = 4*s + 8, -2*j + 20 = -0*j - 4*s. Let u = l + j. Calculate the remainder when u is divided by 7.
6
Let u(x) = x**2 - 9*x - 8. Let f be u(11). Let t = f + -23. What is the remainder when 31 is divided by (2 + t/6)*22?
9
Let q = 2359 + -2351. Let p = -1 + 31. What is the remainder when p is divided by q?
6
Let d(x) = -x**3 - 20*x**2 + 8*x - 26. Calculate the remainder when d(-21) is divided by 62.
61
Suppose 7*h = 3*h + 20, h + 331 = 4*p. Calculate the remainder when p is divided by 17.
16
Let d(g) = 2*g**2 + 44*g - 9. Calculate the remainder when -292*(1/(-2))/1 is divided by d(-23).
35
Let a(l) = 40*l - 443. What is the remainder when a(17) is divided by 50?
37
Let k = 2761 - 2722. Calculate the remainder when 738 is divided by k.
36
Suppose 0 = -2*q + 3*z + 32, 2*z - 8 = 6*z. Let w = -2 - -6. Suppose -3*s + 2 = w*j - 8, -28 = -5*j + 4*s. Calculate the remainder when q is divided by j.
1
Let i be (-2)/4 + (-188)/(-8). Suppose -37 = -5*m + i. Let l(b) = b**2 + 6*b + 5. What is the remainder when l(-10) is divided by m?
9
Suppose 3*z - 57 = -s, -40 = -4*z + 2*s + 46. What is the remainder when (-36)/(-756) - (-4848)/63 is divided by z?
17
Suppose 23*i = 106 - 14. What is the remainder when 10 is divided by i?
2
Let o(h) = -116*h**3 + h**2 + 2*h + 1. Let n be o(-1). Suppose 0 = -0*b - 2*b + n. Let k = b - 8. What is the remainder when k is divided by 17?
16
Suppose 13*d - 10 + 88 = 0. Calculate the remainder when (213/d)/((-2)/4) is divided by 18.
17
Let t = -9 + 28. Let d = -29 + 24. Let l(v) = 4*v**2 + 6*v + 5. What is the remainder when l(d) is divided by t?
18
Suppose -3*t + 7*t + 8*t = 0. Suppose 9*g - 14*g + 170 = t. What is the remainder when 99 is divided by g?
31
Suppose -x + 3*x = 0. Let k = 3 + x. Suppose -k*n = -4*l - n + 90, 3*l - n - 66 = 0. Calculate the remainder when 81 is divided by l.
18
Let j = 254 - 242. Calculate the remainder when 46 is divided by j.
10
Let o(j) = -7*j + 40. Let g be o(-11). Let i = -87 + g. Calculate the remainder when i is divided by 18.
12
Let v be 3/9*0/2. Suppose 105 = 3*q + 3*s - 0*s, v = -4*q + 3*s + 140. Suppose 6*k - q = k. What is the remainder when 12 is divided by k?
5
Let d(b) = b + 114. What is the remainder when 259 is divided by d(-26)?
83
Let g be (-10)/(-4)*(-10)/(-5). Suppose 83 = 3*a - 5*v - 2, -3*v - 115 = -g*a. What is the remainder when (-2)/(-9) + ((-1648)/(-36) - 7) is divided by a?
19
Let b = -4 + -1. Let r be -1*b/((-5)/(-19)). Suppose 7 = -4*n + r. What is the remainder when n is divided by 3?
0
Let n = -43 + 21. Let p = 125 + n. Calculate the remainder when p is divided by 15.
13
Let l(g) = g**2 + 23*g + 71. Calculate the remainder when l(21) is divided by 83.
82
Suppose 2*u - 6 = u. Let g be (-3)/u*2*-4. Suppose 20 = -g*s, 0 = -3*q + 2*s + 56 + 35. Calculate the remainder when q is divided by 7.
6
Suppose -5*h + 108 = 2*z, 85 + 3 = 4*h + 2*z. What is the remainder when 53 is divided by h?
13
Let x = 1213 + -1168. Calculate the remainder when 46 is divided by x.
1
Let d(s) = 8*s. Let w be (-30)/(-20)*(-10)/(-3). Suppose -w*j - 126 = -11*j. Calculate the remainder when j is divided by d(1).
5
Suppose 2*o - 29 + 21 = 0. What is the remainder when 33 is divided by o?
1
Suppose 0 = 3*s + 5*a + 2, 12 = 5*s + a - 14. Let t = s - -21. What is the remainder when t is divided by 6?
3
Let w(c) = 3*c + 2. Let h(p) = 5*p - 13. Let y be h(5). What is the remainder when 24/y*(0 - (-50)/4) is divided by w(4)?
11
Let m = -61 + 74. Suppose -m*k + 270 = -4*k. Calculate the remainder when k is divided by 16.
14
Let m be 371/4 - (-3)/12. Let t be (m/12)/1*8. Let u = t + -30. Calculate the remainder when 93 is divided by u.
29
Let p(z) = z**2 + 11*z + 92. What is the remainder when 69 is divided by p(-6)?
7
Suppose -v + 6 = -q, -5*v = q - 4*q - 40. Suppose 3*n = n + 144. Let a = n - 51. What is the remainder when a is divided by v?
10
Let i(h) = -h**2 - 9*h + 33. Calculate the remainder when 272 is divided by i(-10).
19
Let y(z) = -z**3 - 3*z - 5. Let d(x) = -3*x**3 - 6*x - 11. Let s(o) = -2*d(o) + 5*y(o). Calculate the remainder when s(3) is divided by 8.
7
Suppose 15*o - 489 = 2481. Calculate the remainder when o is divided by 23.
14
Suppose -2*n + 144 = -0*n. Suppose -17*j = -5*j - 24. Suppose -2*c + 33 = 4*x + x, -j*x - 59 = -3*c. What is the remainder when n is divided by c?
15
Suppose -25*s + 385 = -20*s. Calculate the remainder when s is divided by 4.
1
Let r = -1220 - -1415. What is the remainder when r is divided by 68?
59
Let z = 938 - 862. Calculate the remainder when 298 is divided by z.
70
Suppose -4*k + 11 = -w + 64, -5*w + 190 = -5*k. Suppose 0 = -2*d + 31 - 7. Calculate the remainder when w is divided by d.
9
Let p = -39 - -56. Let t = 47 + p. Calculate the remainder when t is divided by 5.
4
Suppose -4*z + 3 = 3*u, 5*u + 2 + 13 = 0. Let n be 0 - (38 + -3 + z). Let v = 77 + n. Calculate the remainder when v is divided by 14.
11
Suppose 5*f - d - 87 = 0, -4*d + 64 - 16 = 2*f. What is the remainder when 88 is divided by f?
16
Let x be ((-50)/(-8))/((-6)/(-48)). Let d = -26 + x. Suppose -17*t = -20*t + d. What is the remainder when 22 is divided by t?
6
Suppose -4*m + 51 = -141. Let j be 3 + 35/(-5) - -8. Let r = 21 - j. What is the remainder when m is divided by r?
14
Suppose -t + 220 = 3*k - 110, 3*t - 9 = 0. What is the remainder when k is divided by 27?
1
Let i(p) = -11*p - 12. Let z be i(-6). Suppose 3*s = 2*k + 125, -3*k + z + 38 = 2*s. Let q = -20 + s. Calculate the remainder when 42 is divided by q.
19
Let p = -1848 + 1988. Calculate the remainder when p is divided by 81.
59
Calculate the remainder when (200/(-28))/(12/(-42)) is divided by 6.
1
Suppose 6305 = 5*c + 5*i - 0*i, 5032 = 4*c - 2*i. Calculate the remainder when c is divided by 60.
59
Suppose 19 = 4*k - 5. Let j(x) = -x**3 + 5*x**2 + 8*x + 2. Calculate the remainder when j(k) is divided by 9.
5
Suppose 44*j - u - 28 = 43*j, 4*j - 97 = -u. Calculate the remainder when ((-14)/(-3))/(2/42) is divided by j.
23
Suppose 14*u - 407 = -99. What is the remainder when 769 is divided by u?
21
Suppose 16 = 3*v - 4*m, -15 = -3*v + 5*m - 1. Let s(q) = -3*q + v + 13 + q**3 - 6 + 11*q**2 + 6*q. Calculate the remainder when s(-10) is divided by 29.
27
Let c = 25 - 46. Let j = 31 + c. Suppose 123 + 33 = 4*n. Calculate the remainder when n is divided by j.
9
Suppose 104 = 3*h + 26. Suppose -f = f - h. Calculate the remainder when f is divided by 5.
3
Suppose 2*k - 3*k = -3*u + 6, 3*u - 6 = -3*k. Suppose -3*t + 5*l + 73 = k, 5*t - 3*l - 233 + 90 = 0. Calculate the remainder when t is divided by 17.
14
Let t(x) = 4*x**2 - 2*x - 4. Suppose 66*w + 3*y - 68 = 62*w, 0 = -4*y + 16. Calculate the remainder when t(3) is divided by w.
12
Let i(m) = 3*m + 50. Let f be i(-16). What is the remainder when 44 is divided by 16/(-8) + (f*7)/1?
8
Suppose -2*p = 2*y - 12, 4*p = 3*y + 9 + 1. Suppose -2*c - y*j + 58 = 0, -c = -5*c + 5*j + 125. What is the remainder when 119 is divided by c?
29
Suppose -47 = -3*s - 4*x, 21*s = 16*s - 5*x + 75. What is the remainder when 23 is divided by s?
10
Suppose -29 - 31 = -5*f. Suppose -8 = 6*b - 26. Suppose 2*m + 24 = b*m - 2*t, 62 = 3*m + 4*t. What is the remainder when m is divided by f?
10
Suppose 4*p - 15 = 3*p. Calculate the remainder when 29 is divided by p.
14
What is the remainder when 118 is divided by 12/28 - (-428)/14?
25
Suppose 24*m + 5*r = 25*m, -4*m = -6*r - 42. Suppose 3*x - 138 = 129. What is the remainder when x is divided by m?
14
Let f be 10 + -10 - (0 + 0). Let j = 7 + f. Suppose -3*m + 12 = -2*w + 40, -5*w + 80 = -5*m. Calculate the remainder when w is divided by j.
6
Let y(r) = r**2 - 5*r + 2. Let b be y(4). Let x(j) = 21*j**2 - j + 2. Calculate the remainder when x(b) is divided by 30.
28
Let q = -123 - -181. What is the remainder when 183 is divided by q?
9
Suppose -h + 264 + 1315 = 5*v, 3*h + 303 = v. Calculate the remainder when v is divided by 11.
7
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