r when 35174/301 - d/14 is divided by 31?
23
Let c(r) = -160*r - 802. Calculate the remainder when c(-7) is divided by 23.
19
Suppose -5*l - 107 = 78. Let u = l + 41. Let z(t) = -t**2 + 8*t - 5. What is the remainder when z(6) is divided by u?
3
Calculate the remainder when 76 is divided by -4 - 4/(-5)*((8 - 9) + 81).
16
Suppose 2 - 46 = -28*z + 12. What is the remainder when 81 is divided by z?
1
Let h = 25 - 14. Let a(g) = 4*g**2 - 35*g + 32. Calculate the remainder when a(9) is divided by h.
8
Let x = -22 - -24. Let p be -18*(-6)/36*x. Calculate the remainder when 8 is divided by 2 - 1 - p/((-3)/1).
2
Suppose 5*q + 40 = 4*q + 5*y, 0 = -5*q + y - 80. Let l = 126 + q. Calculate the remainder when l is divided by 56.
55
Let k(l) = l**2 - 23*l - 337. Calculate the remainder when k(-18) is divided by 58.
53
What is the remainder when 173 is divided by -8 + 170/(-15)*-6?
53
Let z(c) = 14*c + 410. What is the remainder when z(-20) is divided by 6?
4
Suppose 7*u = 3640 + 1372. What is the remainder when u is divided by 56?
44
Let s(g) be the third derivative of g**6/120 - 2*g**5/15 - 5*g**4/12 - g**3/3 + 68*g**2. What is the remainder when s(10) is divided by 50?
48
Suppose -5*m = 2*x - 2372 - 266, 0 = -2*m - 2*x + 1060. Calculate the remainder when m is divided by 110.
86
Let c be ((-115)/(-15) - 7)/((-4)/(-18)). Suppose 4*y - 918 = 6*q - 11*q, c*y = -5*q + 921. What is the remainder when q is divided by 64?
58
Let b(o) = 40*o - 19. Let s be b(4). Suppose -s*v + 135*v + 126 = 0. Calculate the remainder when v is divided by 14.
7
Suppose 4*v - 35 = -2*o - 5, v - 2*o - 20 = 0. Let g be 2/(-6)*((-384)/2)/8. Suppose -15*d + 133 = -g*d. Calculate the remainder when d is divided by v.
9
Let c(u) = 5*u**3 - 209*u**2 - 40*u + 20. Calculate the remainder when 342 is divided by c(42).
30
Suppose -119*f = -117*f - 28. What is the remainder when (0 - 20)*44/(-8) is divided by f?
12
Let w(d) = 4*d - 12. Let t be w(4). Suppose 7*y - 5*y = -t*c + 18, -c = 3. Suppose u + 3*a = -a + y, 0 = -a + 3. What is the remainder when u is divided by 1?
0
Let c = 4806 - 4756. What is the remainder when 248 is divided by c?
48
Let a(i) be the first derivative of -7 + 6 + 11*i - 18 + i**2 - 6. What is the remainder when 5 is divided by a(-5)?
0
Calculate the remainder when 1882 is divided by (-27)/(-12)*420/45.
13
Let m be (6/(-7))/(25/875). Calculate the remainder when 314 is divided by (m + 39)/(-1 + 2).
8
Let u(x) = 2*x**3 - 139*x**2 - 354*x - 294. What is the remainder when 842 is divided by u(72)?
14
Let o = 8 + -4. Let x(p) = 18*p**2 + 134*p + 62. What is the remainder when x(-7) is divided by o?
2
Let d(t) be the second derivative of t**4/6 + 7*t**3/3 - 13*t**2/2 + 147*t. What is the remainder when 49 is divided by d(-8)?
1
Let a(u) = -58*u - 3229. What is the remainder when 4559 is divided by a(-56)?
18
Calculate the remainder when -4 + -1514*12/(-38) + 446/(-4237) is divided by 138.
60
Let i = -638 - -634. Calculate the remainder when -767*(7 - (4 - i)) is divided by 14.
11
Suppose 0 = 30*b - 25*b - 120. Let t(f) = -f - 1. What is the remainder when b is divided by t(-6)?
4
Suppose 0 = -3*g - 2*x - 177 + 219, 4*g - 3*x = 73. Let q = -36 - -64. What is the remainder when q is divided by g?
12
Let i = 3 + 5. Suppose 0 = -0*w + i*w - 488. Let a = w + -48. What is the remainder when a is divided by 8?
5
Suppose 130*z = -29*z + 212265. Calculate the remainder when z is divided by 334.
333
Suppose 3*u = -5*c + 196 + 2, -5*u - 2*c = -349. Let w be 5 + (5 + 11)*1*-1. Calculate the remainder when u is divided by (1 + -3)*((-660)/(-8))/w.
11
Suppose -198*k + 3606 = 1824. Calculate the remainder when 10392 is divided by k.
6
Let y(x) = -6*x**2 + 5*x - 3. Let o be y(-4). Let g = -80 - o. Suppose 2*u + 5*l - 6 = g, -2*u + 47 = 3*l. What is the remainder when 71 is divided by u?
21
Let u = 218 + -220. Calculate the remainder when 70 + u*1 + (-4 - -9) is divided by 37.
36
Let n(j) = 36*j**2 - 34*j + 7. What is the remainder when n(3) is divided by 49?
33
Let j = -1304 + 588. Let h = j - -769. What is the remainder when 316 is divided by h?
51
Let r = 763 - 934. Let q = 193 + r. What is the remainder when q is divided by 18/2 - (1 - 0)?
6
Let z be -237*(4 - 64/(-12)). Let y be (z/(-35))/((-4)/(-10)). What is the remainder when y + 1 + (2 - 3) is divided by 40?
38
Let n(m) = 37*m + 2297. What is the remainder when n(-43) is divided by 194?
124
Let l be 78/(11 + -17) + 4. Let h be 79/3 - (-4)/6. Calculate the remainder when l/h - 55/(-3) is divided by 11.
7
Let f(q) = -7*q + 1. Let r be (-75)/(-50) + (-20)/(-8). Suppose 21 = r*n - 3*z, -2*n - 4*z + 2*z + 14 = 0. Calculate the remainder when f(-2) is divided by n.
3
Suppose -3*g + 7*f = -547, g + 87 = 4*f + 276. What is the remainder when g is divided by 163?
10
Suppose -894543 = -128*v - 79*v + 168*v. What is the remainder when v is divided by 155?
152
Suppose -115*d + 32*d = 18*d - 49490. What is the remainder when d is divided by 6?
4
Suppose d + 224 = 4*f, d + 4*d = 4*f - 224. Calculate the remainder when 66 is divided by (-2)/(f/(-508)) + 7/(-49).
12
Suppose 2*x - 2*o = -0*o + 4, -5*o - 6 = -3*x. Suppose l = 5*b + 660, -396 = x*b + b - l. Let i = -91 - b. Calculate the remainder when 162 is divided by i.
39
Let s(k) = -177*k**2 + 358*k**2 + 9*k - 84 - 180*k**2. Calculate the remainder when 20 is divided by s(6).
2
Let y(z) = 30*z - 36 - 36 - 10 + 2. What is the remainder when 24 is divided by y(3)?
4
Let y(a) = -a**3 + 13*a**2 + a - 2. Suppose -5*c + 16*c = 55. Suppose 3*d - 3*f - 20 = f, -c*f = 3*d - 2. Calculate the remainder when y(13) is divided by d.
3
Let b = -1643 + 3527. Let q = b - 1107. What is the remainder when q is divided by 13?
10
Let f(y) = 5*y + 14. Let j be f(6). Suppose 40*m = 38*m - j. Let b = 42 + m. What is the remainder when b is divided by 7?
6
Let b(r) = -36*r + 135. Let n be b(-3). Let s = -46 + n. Calculate the remainder when s is divided by 20.
17
Let d be 3/9*6 - -244. Let x = d - 220. Calculate the remainder when 68 is divided by x.
16
Let z = -988 + 1585. What is the remainder when z is divided by 24?
21
Let p = 1154 - 1116. What is the remainder when 166 is divided by p?
14
Suppose 3*a - 3088 = -2*s, 0 = -16*a + 19*a + 3*s - 3084. What is the remainder when 136 is divided by a/57 + 56/(-532)?
10
Suppose 2*w = m + 60, m = -6*w + 7*w - 32. Suppose 19*y = w*y - 477. Suppose 0 = 2*p - 3*p + 27. Calculate the remainder when y is divided by p.
26
Let q(p) = 32*p - 518. What is the remainder when q(23) is divided by 58?
44
Let c = 70 - 89. Let g(w) = -4*w - 48. What is the remainder when g(c) is divided by 10?
8
Suppose 497*b = 665*b - 495768. What is the remainder when b is divided by 20?
11
Let r(m) = m**3 - 14*m**2 + 61*m - 199. What is the remainder when 163 is divided by r(10)?
9
Suppose 5*s = -4*v + 31, -5*s = 2 + 3. What is the remainder when 39 is divided by v/(-6)*(4 + -17 - -5)?
3
Suppose -456*g + 529 = -444*g - 359. Let t = 0 - -16. What is the remainder when g is divided by t?
10
Let i = -4029 + 4321. Calculate the remainder when i is divided by 38.
26
Suppose -2990 = 3*g - 13*g. Let r = g + -117. Calculate the remainder when r is divided by 31.
27
Let h = 3584 + -2651. Calculate the remainder when h is divided by 20.
13
Suppose -82 = -29*j + 150. Suppose -5*m + 3 = 28, -4*k - 5*m - 17 = 0. Suppose -u + k*q + 8 = q, 4*q + j = u. What is the remainder when 20 is divided by u?
4
What is the remainder when (168/(-126))/(4/(-3159)) is divided by 48?
45
Suppose -2*h + 4*d - 2285 + 257 = 0, 0 = -5*d - 20. Calculate the remainder when h/(-42) - -2*(-4)/6 is divided by 4.
3
Let z(q) be the second derivative of 3*q**3/2 - 9*q**2/2 - 200*q. What is the remainder when 60 is divided by z(3)?
6
What is the remainder when ((-680)/100)/(4/(-5570) - (-17 - -17)) is divided by 11?
9
Suppose 59*f - 408 = 71*f. Let p(x) = 32*x + 2. What is the remainder when p(2) is divided by (f*(-4)/24)/((-3)/(-9))?
15
Let s(n) = -254*n**3 + 2*n**2 + 5*n - 7. Let m be s(1). Let k = -221 - m. What is the remainder when 100 is divided by k?
1
Suppose 5*l = -2*d + 21, 4*l + 3 = -2*d + 19. Let h = d + 14. Let n = -292 - -351. Calculate the remainder when n is divided by h.
11
Let f(c) = 112*c**2 - 231*c - 1288. What is the rema