))?
2
Suppose -5*f = 4*u - 0*f - 6432, 0 = 2*u - 5*f - 3216. Calculate the remainder when u is divided by 115.
113
Let q = 2647 - 1823. Calculate the remainder when q is divided by 55.
54
Let n(f) = f**2 - 4*f + 1. Suppose 7*w - 2 - 453 = 0. Let k = 75 - w. What is the remainder when k is divided by n(5)?
4
Let t(y) = -99*y - 427. What is the remainder when 474 is divided by t(-5)?
66
Let g(c) = -2*c - 12 - 6*c + 5*c**2 - 6*c**2. Calculate the remainder when g(-5) is divided by 3.
0
Let d = 18 - 16. Suppose 86 = d*q - 3*c, c + c + 45 = q. What is the remainder when q is divided by 8?
5
Suppose 3*n + 248 = 4*k, k + n = -k + 124. Calculate the remainder when 1052 is divided by k.
60
Let k be -4 + (5 - 2) + 1789. Suppose -3*w + 9*w = k. Calculate the remainder when w is divided by 30.
28
Let u(q) = q**2 - 13*q + 24. Let b be u(11). Suppose 3*h - 2*f + 4*f - 15 = 0, 5*f = -5*h + 30. What is the remainder when -2 - b*(-9)/2 is divided by h?
1
Suppose 0*g = -9*g + 72. Calculate the remainder when ((-5)/4)/(4/(-64)) is divided by g.
4
Suppose -222*m + 228*m = 162. Calculate the remainder when 42 is divided by m.
15
Suppose 4 = -2*z, 2*u = -4*z + z + 410. Calculate the remainder when u is divided by 5.
3
Suppose -46*v = 61 - 981. What is the remainder when 8/32 + (-631)/(-4) is divided by v?
18
Let f(z) = z + 6*z - 6*z + 4. Let w be f(0). Suppose -2*a = 3*o - 16, 0*a - 2*a = w*o - 18. What is the remainder when 17 is divided by a?
2
Let u = -68 - 9. Let j be (-22)/u - (-390)/7. Suppose -2*y + y + j = 0. What is the remainder when y is divided by 29?
27
Suppose 415 - 1079 = -4*z. Let m = z - 149. Calculate the remainder when 67 is divided by m.
16
Suppose 3*x - 16 = -x. Let v = -89 + 93. Suppose -v*f = -10*f + 90. What is the remainder when f is divided by x?
3
Let o be (15/10)/(3/(-4)). Let x = 33 - o. Let m(v) = 10*v**2 - 4*v + 1. What is the remainder when m(-3) is divided by x?
33
Suppose 3*h - 8 - 22 = 0. Let a(s) = 14*s + 101. Calculate the remainder when h is divided by a(-7).
1
Suppose 92 - 432 = -17*z. Calculate the remainder when 138 is divided by z.
18
Let d = 9 - 7. Suppose 0 = d*x + 4*t - 98, 2*x - 61 = -2*t + 47. Calculate the remainder when x is divided by 15.
14
Let w = 1539 - 1518. Calculate the remainder when 815 is divided by w.
17
Let r(j) = -j**2 + 28*j - 24. Calculate the remainder when (53 + 0)/(-19 + 20) is divided by r(26).
25
Let t = -10976 - -11017. Let d(m) = -m**3 + m**2 + 2*m - 1. What is the remainder when t is divided by d(-2)?
6
Let n(s) = 9 + 3*s - 13*s**2 + s**3 - 14 - 10. Suppose 5 - 44 = -3*w. What is the remainder when 46 is divided by n(w)?
22
Suppose -5*u + 15 = -5*z, 0 = u + z + 3*z + 22. Calculate the remainder when u/((-3)/15 + 0) is divided by 4.
2
Suppose 5*d = 2*d + w + 33, 0 = -d - 4*w - 2. Let y be (0/(-4))/((-1)/1). Suppose 3*t - t - 58 = y. Calculate the remainder when t is divided by d.
9
Let f(g) = 56*g - 142. Calculate the remainder when f(7) is divided by -1 + ((-86)/(-1))/2.
40
Let d(v) = -v**3 - 17*v**2 - 35*v - 68. Let i(m) = -m**3 + 4*m**2 + 4*m - 5. What is the remainder when i(4) is divided by d(-15)?
4
Suppose -4*w + 42 + 58 = 0. Suppose g = q, 2*q = -5*g + 4*q + 3. Calculate the remainder when w is divided by (1 - 0/g)*13.
12
Let k = 493 + -469. What is the remainder when k is divided by 21?
3
Let p(t) be the first derivative of t**4/4 - 5*t**3/3 - 2*t**2 + 9*t - 3. Suppose 13*r = 14*r - 83. What is the remainder when r is divided by p(6)?
20
Let r = -12 - -11. Calculate the remainder when 46 is divided by (14/(-28))/(r/50).
21
Let z(f) = 4*f**2 - 4*f - 1. Let o be z(3). Let u = -17 + o. Suppose d = 4*c + 1, -3*c = -d - 0*c + 5. What is the remainder when d is divided by u?
5
Suppose -s + 18 = -0*s + 2*x, 5*s = 3*x + 77. Suppose 92 = 3*k + k - w, 4*k - 116 = -5*w. What is the remainder when k is divided by s?
8
Let j(b) = 29*b**2 - 4*b + 3. Let h = -63 - -64. Calculate the remainder when j(h) is divided by 18.
10
Let a = 6 - 3. Let z(j) = -a + 1 - j + 15 - 3. What is the remainder when 29 is divided by z(0)?
9
Suppose -5*h + 39 = 14. Suppose -6 = -3*u - 3*j - j, 0 = -h*j. What is the remainder when 4 + 5 + -10 + 5 is divided by u?
0
Let u = -561 + 613. Calculate the remainder when u is divided by 1/(0 + (-1)/(-11)).
8
Let b = -46 - -375. What is the remainder when b is divided by 15?
14
Suppose 5*o = 2*q - 86, 5*q - 2*q - o = 103. Calculate the remainder when q is divided by (3/2)/(-1*3/(-26)).
7
Let j(h) = -3*h**2 + 20*h. Let n = 5 - 0. Calculate the remainder when j(6) is divided by n.
2
Suppose 3*s - 8 = 76. Calculate the remainder when 37 is divided by s.
9
Suppose -2*b - 5*h = -2*h - 181, 466 = 5*b + 3*h. What is the remainder when 568 is divided by b?
93
Suppose -3*n + 2845 = a, 5*n + 2*a - 4739 = 3*a. What is the remainder when n is divided by 159?
153
Let v(f) = -2*f**2 + 3*f + 258. Calculate the remainder when v(0) is divided by 52.
50
Let f be (-2 + 0)*(-4 - -3). Suppose 5*q + f*q - 63 = 0. Let k = 28 + -3. What is the remainder when k is divided by q?
7
Suppose 0 = -2*a - r + 11, a - 4*a - r = -18. Let d(l) = -2*l + 5. What is the remainder when d(-4) is divided by a?
6
Let g be 3/6*-6 - -31. Suppose 0 = -y - 2*s + 15, 3*s - 68 = -0*y - 5*y. Calculate the remainder when ((-14)/(-8))/(1/g) is divided by y.
10
Let h(v) = v**3 - 9*v**2 + 39*v - 19. Calculate the remainder when h(8) is divided by 21.
19
Suppose -8*m - 80 = -4*m. Let u = m + 59. Calculate the remainder when 155 is divided by u.
38
Suppose 3*s - 4 = -484. Calculate the remainder when 31 is divided by ((-6)/(-5))/((-12)/s).
15
Calculate the remainder when 226 is divided by (((-16)/(-24))/(2/(-234)))/(-2).
31
Let x = -676 + 994. Calculate the remainder when x is divided by 40.
38
Let f(r) = 9*r + 10. Let h be f(2). Let s(l) = -l**2 - 7*l + 4. Let b be s(-7). Suppose -b*d + 8 = -h. Calculate the remainder when 32 is divided by d.
5
Suppose x - 4*s = 32, 3*s + 55 = -4*x + 202. What is the remainder when (x/(-21))/((-2)/147) is divided by 43?
40
Let s(a) = -a**2 - 14*a + 10. Let y = 89 + -60. Calculate the remainder when y is divided by s(-14).
9
Calculate the remainder when (-1 + 5 - -138)/2 is divided by 26.
19
Let p(j) = -83*j**3 - 2*j**2 - j. Suppose 0 = -4*n + 2*t + 104, 3*n - 5*t = -220 + 284. What is the remainder when p(-1) is divided by n?
26
Suppose -h - 3*x + 25 = 0, 118 - 25 = 4*h + 5*x. Calculate the remainder when 3 + (-3760)/(-65) + 12/78 is divided by h.
17
Calculate the remainder when (2/(-7))/(-2*4/168) is divided by 2.
0
Let b(k) = 3*k + 2. Let m be (-2)/(-3) - 25/(-3). Suppose 3*p - 128 = -o - 2*p, -4*o = 3*p - 461. Calculate the remainder when o is divided by b(m).
26
Suppose -2*i + 0*i = -112. Calculate the remainder when i is divided by (-2 - (-105)/18)/(-16 + (-485)/(-30)).
10
Let a be 23 - 1/(1 - 0). Suppose -7*i = -9*i + a. Suppose -i = -3*w + 13. Calculate the remainder when w is divided by 4.
0
Let f(o) = -3 - o - 4*o**3 - 3*o**3 + 2. Calculate the remainder when (-10 - -11)/1*200/(15 + -7) is divided by f(-1).
4
Let z be (21/12)/((-3)/(-60)). Let r = z + -19. Suppose 82 = 3*c - 0*c - 4*s, -68 = -2*c - 4*s. Calculate the remainder when c is divided by r.
14
Calculate the remainder when (-24)/10 - (-10)/25 - -180 is divided by 52.
22
Let m(z) = z**3 + 8*z**2 - 9*z - 45. What is the remainder when m(-8) is divided by 9?
0
Suppose 153*b - 141*b = 4644. What is the remainder when b is divided by 55?
2
Suppose -3*m + 8*m = -s - 18, 4*m + 5*s = -27. What is the remainder when 19 is divided by (-20)/(-6) - 3/(-27)*m?
1
Let h(t) = -91*t. Let i be h(-4). Suppose -n + i = 6*n. Calculate the remainder when n is divided by 9.
7
Suppose 72*b - 2*c = 74*b - 2, -5*c = -b + 7. Calculate the remainder when 230 is divided by b.
0
Suppose 0 = -27*t + 8*t + 9063. Calculate the remainder when t is divided by 24.
21
Let m = -14 - -21. Let x(t) = -3*t + 25. What is the remainder when m is divided by x(6)?
0
Suppose 165 = 3*m - 3*j, j = 11*m - 7*m - 235. Calculate the remainder when m is divided by 21.
18
Let c = 196 - 107. Calculate the remainder when c is divided by 15.
14
Suppose 449 = 3*w - 289. What is the remainder when w is divided by 59?
10
Let a = -25 - -27. Suppose 0 = -3*d + 15, -y = a*y + d - 101. Calcul