3
Let z = -1662 + 2602. Calculate the remainder when z is divided by 19.
9
Calculate the remainder when (-125)/((-1185)/(-150) + -8) is divided by 7.
4
Calculate the remainder when ((-26)/143 - 16737/(-33))*(-14)/(-21) is divided by 20.
18
Suppose 5*w - 170 = 200. Suppose -90 = -14*f + 46 - 38. What is the remainder when w is divided by f?
4
Let z(a) = -a**3 + 21*a**2 - 2*a + 46. Calculate the remainder when 420 is divided by z(21).
0
Let g(x) = -186*x + 10245. Calculate the remainder when 312 is divided by g(55).
12
Suppose -t - 157 - 238 = -5*y, 3*t - 335 = -4*y. What is the remainder when y is divided by 1708/14518 - (-780)/17?
34
Let r = 6297 - 4922. Calculate the remainder when r is divided by 43.
42
Let h be (4/(-6))/(2/6) + 179. Let u = h - 166. Calculate the remainder when u is divided by 7.
4
Suppose 4*i - 4*f + 72 = 0, 5*f + 16 + 9 = 0. Let s = i + 31. Calculate the remainder when 119 is divided by s.
7
Let b = 9359 - 9307. Suppose -4*c - 6 = -r + 5, 0 = 2*r + 5*c - 22. Calculate the remainder when b is divided by r.
8
Suppose 47 - 5 = -7*d. What is the remainder when 37 is divided by ((-7)/(70/(-12)))/(d/(-75))?
7
Let o(s) = 37*s**2 + 698*s - 111. What is the remainder when o(-22) is divided by 164?
145
Let r(k) = 9207*k + 73686. Let i(j) = -42*j**3 - 2*j**2 - 2*j - 1. Calculate the remainder when i(-1) is divided by r(-8).
11
Suppose -9*w + 17042 = 7034. Suppose 89*r - w = 85*r. What is the remainder when r is divided by 71?
65
Let v = -175 + 262. Suppose -459 = -12*z - v. What is the remainder when 104 is divided by z?
11
Let k(j) = j**2 + j - 10. Let a be k(0). What is the remainder when (36/54)/(8/1404) is divided by a*(1 + (-4)/1)?
27
Let i = -11103 + 11604. What is the remainder when i is divided by 2/(2*(-2)/(-56))?
25
Suppose -4*z + 80 = 6*z - 1440. What is the remainder when 517 is divided by z?
61
Let w(x) be the first derivative of -x**2/2 + 12*x + 3788. Let g = -22 + 15. Calculate the remainder when 89 is divided by w(g).
13
Calculate the remainder when ((-36358)/(-76) + 6/57)*48/36 is divided by 225.
188
Let d(l) = -l**3 - 17*l**2 - 34*l - 25. Let b be d(-15). Let j(o) = o**2 - 32*o - 40. What is the remainder when j(b) is divided by 14?
9
Let r be -3*(44/(-6) + 6). What is the remainder when 62 is divided by 33/(r - ((-39)/(-6) + -4))?
18
Suppose 0 = 3*a + 2*z + 706, 968 = -4*a - 0*a + 4*z. Let n = a + 257. What is the remainder when n is divided by 7?
5
Let k(a) = -25*a - 27. Let h(o) = o**2 + 18*o - 19. Let u be h(-16). Let i = 46 + u. What is the remainder when k(i) is divided by 17?
13
Let z = 127 + -95. Suppose 0 = -c - 2*r + z, -c = 3*r - 27 - 0. Calculate the remainder when c is divided by 17.
8
Suppose 2*x = 5*r - 15593, 29*r - 3*x + 9360 = 32*r. What is the remainder when r is divided by 174?
161
Let g = -4323 - -8012. Suppose -1296 - g = -5*a. Suppose -14*t - 269 + a = 0. What is the remainder when t is divided by 27?
25
Let g be 4 + -2 - (-2 - -1). Let s be 820/(-10)*g/2. What is the remainder when 75 is divided by ((-20)/7)/(s/(-21) + -6)?
15
Suppose 0 = 3*l - 5*k - 2256, -1401*l + 1403*l + 3*k - 1504 = 0. What is the remainder when l is divided by 86?
64
What is the remainder when 336 is divided by 192/5 + 573/955?
24
Let l(h) = 36*h + 217. Let k(i) = -16*i + 5. Calculate the remainder when k(-11) is divided by l(-5).
33
Let g be 1/2 - (-365)/(-10). Calculate the remainder when 218 is divided by (g/30)/(15/(-550)).
42
Let q = 2256 - 2143. What is the remainder when 12541 is divided by q?
111
Suppose 2*o + 0 = -2*p - 4, 10 = 5*o + p. Calculate the remainder when 818 is divided by o.
2
Let r = -1701 + 1753. What is the remainder when 2650 is divided by r?
50
Suppose -4*x + 2*x + 17 = 3*w, -7 = 2*x - 5*w. Suppose 6*b - 164 = 4*b - 3*r, -4*r = x*b - 328. Calculate the remainder when 107 is divided by b.
25
Let o(x) = 4*x - 54 + 10*x - 20*x - 2*x. What is the remainder when 67 is divided by o(-8)?
7
Let q(x) = -4*x - 12. Let f be q(-32). Suppose 5*k + n = f, 5*n = 2*n - 12. Calculate the remainder when k is divided by 15.
9
Suppose h - 6*l + 3*l = 154, -4*l + 4 = 0. Let g = -152 + h. Calculate the remainder when 11 is divided by g.
1
Let t = -103 + 159. Suppose -76*y + 74*y = -t. Calculate the remainder when 77 is divided by y.
21
Let a = -32 - -42. Suppose -4*o - a = -2, 5*k + 2*o = 116. Calculate the remainder when 261 is divided by k.
21
Let b = 6923 - 6806. Calculate the remainder when b is divided by 50.
17
Let h = -1715 + 1737. Calculate the remainder when -3 + 1 + -5 + 34 is divided by h.
5
Let p = -132 - -164. Suppose 3*m - 113 = 5*s, s - p = -m - 3*s. Calculate the remainder when m is divided by 33.
3
Suppose 0 = 12*h - 57763 + 19495. Calculate the remainder when h is divided by 57.
54
Let s(g) be the first derivative of -15*g**3 + g**2 - 14*g + 13. Let h(a) be the first derivative of s(a). What is the remainder when h(-1) is divided by 31?
30
Let p(r) = 3*r**2 - 34*r + 114. Calculate the remainder when 81 is divided by p(8).
13
Let t(n) = 27*n. Let r be t(2). Let w be 80/30*r/(-8). Let y = w + 27. Calculate the remainder when 52 is divided by y.
7
Suppose -22*l - 5790 = -37*l. What is the remainder when l is divided by 25?
11
Let p be -3 + (4/1 - -888). Suppose -p = 12*w - 19*w. Calculate the remainder when 60 is divided by w/4 - (-1 + 28/16).
29
Let b = 543 - 1113. Let c = b - -875. Calculate the remainder when c is divided by 62.
57
Let f(h) = 12*h. Let o(x) = -64 + 153*x - 278 - 69*x - 59*x + 50. What is the remainder when f(8) is divided by o(13)?
30
Let y be 2/(4/(48/44) - 3). Suppose -y*d - 2 = 2*l, -4*l = 4*d - d - 8. Suppose -66 = -l*t + 24. What is the remainder when 33 is divided by t?
15
Let l = -5369 + 5606. Calculate the remainder when 916 is divided by l.
205
Let k = -8450 - -8756. Calculate the remainder when k is divided by 160.
146
Suppose i - r = -2*i + 34401, 2*r + 22942 = 2*i. What is the remainder when i is divided by 182?
181
Suppose 0 = 30*h - 21*h - 1728. What is the remainder when h is divided by 15?
12
Let q = -160 - -169. Suppose q*g + 512 = 17*g. What is the remainder when g is divided by 33?
31
Suppose 3*b = -124 + 163. Let a = 42 - -198. Suppose -z + 4*q = -43, -q + 17 + a = 5*z. Calculate the remainder when z is divided by b.
12
Let z be 12 - -51 - 8/2. Let a = 59 - z. What is the remainder when 103 is divided by (-3 - a)/(-9)*63?
19
Suppose 13*d - 8*d = 0. Suppose -5*w + 25 = d, -3*t + 2*w = -3*w - 2. Suppose -3*x + 97 = r - 0*r, 5*r - 5 = 0. What is the remainder when x is divided by t?
5
Suppose 2*h = 61*o - 62*o + 724, 5*o - 20 = 0. Calculate the remainder when h is divided by 174.
12
Let y(j) = j**2 - 12*j + 22. Suppose -3*q = 2*q + 4*h + 52, 3*q + 26 = -5*h. Let s be 4/(-12)*3 - q. Calculate the remainder when 40 is divided by y(s).
7
Let o = -115 + 118. Suppose -3*y = z + 4, -o*y + 2*z = y - 8. Suppose 5*x - 95 = -4*t + 102, -5*x - t + 203 = y. What is the remainder when 204 is divided by x?
40
Let w be 8/(64/8) + 149. Suppose -4*z + 3*t = -7*z + w, z + 2*t = 47. Calculate the remainder when 116 is divided by z.
10
Let u(v) = v**3 - 11*v**2 + 48*v + 13. Let g be u(18). Suppose 3235 = 44*p - g. What is the remainder when p is divided by 75?
70
Let w = -12879 - -13872. What is the remainder when w is divided by 128?
97
Suppose -4*q = 3*n - 110, q + 6 = 2. Let d = -219 - -428. Calculate the remainder when d is divided by n.
41
Let a = -12 + 17. Let y(c) = -3*c + 52. Let s be y(17). Suppose a*f + s = -3*b - 1, 22 = 3*f - 4*b. What is the remainder when 11 is divided by f?
1
Suppose -447 = -18*q + 723. Suppose 70*y - 70 = q*y. What is the remainder when y is divided by 6?
2
Suppose -2*w + 4 = 0, 0 = -5*v + 2*w - 6*w + 643. Let a(c) = 128 + c - 253 + v. Calculate the remainder when 32 is divided by a(7).
5
Let g = 44 - 8. What is the remainder when -284*((-31)/(-31) - 6/4) is divided by g?
34
Let k be (-2 - -3) + -3 - -2. Suppose -u + 52 = -5*r, -5*r + 12 = u - k*r. What is the remainder when 190 is divided by u?
30
Let f(t) = 3*t**2 - 24*t + 74. What is the remainder when f(9) is divided by 33?
2
Let d(z) = -11*z. Let y be d(-2). Calculate the remainder when 65 is divided by (-6248)/(-242) - (-4)/y.
13
Suppose 5*f + 38 = j, 4*f - 90 = 5*j - 7*j. Suppose j - 5 = s.