 Calculate the remainder when i is divided by 102.
98
What is the remainder when (((-14)/(-7) - 1704)*-2)/4 is divided by 168?
11
Let u be (2/(-1) - -1) + 29. Let y be u - 1/((-4)/(-12)). Suppose -o = y - 123. What is the remainder when o is divided by 25?
23
Suppose -5*i = 78 + 1127. Let f = -205 - i. Calculate the remainder when 140 is divided by f.
32
What is the remainder when (47/188 - (-1247)/(-4))*1560/(-70) is divided by 7?
5
Suppose -5*f = 5*r - 20, 502 = 3*r + 4*f + 492. Let a = 29 - 12. Calculate the remainder when a is divided by r.
5
Suppose -2*f - 73 = -6*f - 3*o, -4*f + 3*o + 55 = 0. Let p(l) = 3*l - 17. Let n be p(-24). Let d = 247 + n. Calculate the remainder when d is divided by f.
14
Suppose 0 = -h + 18. Suppose -4*u - 198 = -2*c, -92 + 547 = 5*c - 2*u. Calculate the remainder when c is divided by h.
17
Suppose -2*o + 139 = 131. Suppose 0 = -v - 2*u - 2, u - o + 9 = 0. Calculate the remainder when 365 is divided by v.
5
Let i(h) = -4*h - 17. Let j = 17 - 14. Suppose 44 = -8*x + j*x - m, -3*x = m + 28. What is the remainder when 73 is divided by i(x)?
13
Let l = -10608 - -11218. Let n = 61 - -41. What is the remainder when l is divided by n?
100
Suppose -5*o - 2*l + 87 = 0, -4*o = -8*l + 6*l - 66. Calculate the remainder when 115 is divided by o.
13
Suppose 0 = -3*y + 10*j + 1756, 3*j - 47 = -32. Calculate the remainder when y is divided by 55.
52
Suppose -3*z = 81*v - 82*v - 294, -2*v = 12. What is the remainder when 12191 is divided by z?
95
Let r be (-28)/8 - -1*(-3)/(-6). Let b be 60/r*(24/(-10) + 2). Let h(q) = q**3 - 7*q**2 - 7*q + 1. What is the remainder when h(b) is divided by 5?
4
Let a(g) = g**3 + 20*g**2 - 72*g - 34. Let k = -335 - -312. Calculate the remainder when a(k) is divided by 26.
9
What is the remainder when 338 is divided by 15/3 - ((-3003)/49 - 48/28)?
66
Let z = -2394 + 2403. What is the remainder when 32 is divided by z?
5
Let w(i) = -4*i + 42. Let s(h) = h + 1. Let u(t) = -2*s(t) - w(t). Suppose m - 19 = -9. Calculate the remainder when u(29) is divided by m.
4
Let x = 7150 + -7129. What is the remainder when 350 is divided by x?
14
Let r = -10262 + 10304. What is the remainder when 2091 is divided by r?
33
Suppose 3*p - 2771 = -0*v - 2*v, p = v - 1388. Calculate the remainder when v is divided by 453.
28
Suppose -60*n = -1372 - 47588. What is the remainder when n is divided by 10?
6
Let f = -6 + -6. Let u be -24*(-4)/f*-13*1. Suppose -4*z + 0*z = -u. Calculate the remainder when z is divided by 15.
11
Suppose 0 = 8*i - 20 - 36. Suppose -i*d = -3*d - 20. Suppose -a = -l - 0*l - 19, 5*l = d. What is the remainder when 197 is divided by a?
17
Suppose 0 - 40 = -5*s. Let i = 594 - 378. Suppose 0 = 16*r - 8 - i. What is the remainder when r is divided by s?
6
Suppose 28*h - 30*h = s - 19, 4*s = h + 22. What is the remainder when 161 is divided by s?
0
Let i(s) be the third derivative of s**5/30 - 5*s**4/12 + 10*s**3/3 - 7*s**2. Suppose -11*w - 837 = -20*w. Calculate the remainder when w is divided by i(6).
29
Suppose -67 - 1332 = -12*t + 1973. Calculate the remainder when t is divided by 36.
29
Let i be -5 + -4 + 2 - -35. Suppose 24*u - i*u - 90 = -n, -2*n + 190 = 2*u. What is the remainder when n is divided by 12?
10
Let j be (-6)/(-12)*(-2 - -2). Let n = 17 + j. Suppose -n = -2*v - 3*l, -5*l + 9 = 2*v - 10. What is the remainder when 14 is divided by v?
0
Let q = 9781 + -8758. What is the remainder when q is divided by 338?
9
Suppose 2*t - 1570 = 1717*q - 1722*q, 3*t - q - 2355 = 0. Calculate the remainder when t is divided by 200.
185
Let p(a) = a**3 - 60*a**2 - 66*a + 364. What is the remainder when 128 is divided by p(61)?
10
Let x = 23 + -5. Suppose 68*u + 72 = 76*u. What is the remainder when 4 - (u + (-518)/7) is divided by x?
15
Let f(g) = -2*g**3 + 17*g**2 - 11*g + 4. Let q be f(7). Let m = -40 + q. What is the remainder when (-1340)/15*(-6)/4 is divided by m?
32
Suppose -36 = -2*d + 5*c - 4*c, -5*d - 3*c + 68 = 0. Let m(q) = q**2 + 25*q + 204. Calculate the remainder when m(-10) is divided by d.
6
Suppose -2676*n = -2660*n - 12123 + 2043. Calculate the remainder when n is divided by 71.
62
Let m(s) = 4*s**2 - 9*s - 46. Suppose w - 4 = -0*w. Suppose -h + 3*a = -26, w*h - 3*a = a + 72. What is the remainder when h is divided by m(5)?
5
Let w = -239 - -263. Calculate the remainder when (-1236)/(-14) - w/84 is divided by 47.
41
Suppose -4*g = -0*g. Let j be (-88)/(-33)*3/4. Suppose j*t = -g*t + 174. What is the remainder when t is divided by 22?
21
Suppose -360 = 17*f - 428. What is the remainder when 85 is divided by f?
1
Suppose 2*f + 29 = 5*z, 17*z - 5*f + 8 = 16*z. Calculate the remainder when 116 is divided by (1/3)/(z/630).
26
Let z = 118 - 80. Let h(j) = j**3 + 27*j**2 - j + 67. Let i be h(-27). Let f = i + -80. What is the remainder when z is divided by f?
10
Suppose 0 = 347*t - 360*t + 1222. Calculate the remainder when ((-246)/(-16))/(t/752) is divided by (-2 + 2)/(-1) - -18.
15
Let j = 58 - 8. Let q = -12585 - -12596. What is the remainder when j is divided by q?
6
Let u = 1485 - 771. Suppose -5*n - n = -u. What is the remainder when n is divided by 31?
26
Suppose 42*y = 39*y - 3*m, 3*y = -5*m. Suppose y = -16*n - 428 + 1180. Calculate the remainder when n is divided by (-6)/(-15) - 116/(-10).
11
Let g = -41 - -45. Let j(n) = -5*n - 4. Let y(x) = -4*x - 5. Let d(w) = g*j(w) - 3*y(w). Calculate the remainder when d(-14) is divided by 19.
16
Suppose 2*z + 7 = v, 11 - 12 = z. Suppose -v*w + 6*w - 41 = 0. Calculate the remainder when 202 is divided by w.
38
Suppose -10*t = -12*t + 8*k + 964, 4*k = 4. What is the remainder when t is divided by 322?
164
Let w = 1027 - 660. What is the remainder when w is divided by ((-24)/(-28))/(-6) + (-1038)/(-14)?
71
Calculate the remainder when (12 + 90)/((15/20)/(9/6)) is divided by 11.
6
Suppose -i + 0 = -1. What is the remainder when (i + (-59)/(-3))*3 is divided by (-16488)/(-516) - 6/(-129)?
30
Suppose 3*v = -2*o - 173, -2*v + 6*v + 232 = -4*o. What is the remainder when 36 is divided by ((-27)/81)/(58/v + 1)?
17
Suppose -74*m + 81*m = 84. Suppose -z + 2*i + 46 = 0, -z + 4*i = -4*z + 188. What is the remainder when z is divided by m?
8
Suppose 5*u - 186 = 414. Suppose 4*o = 4*l + u, 5 = 2*o + 2*l - 75. Let s(j) = 3*j + 25. What is the remainder when o is divided by s(-4)?
9
Suppose -2*u - 4*k = -26, 3 = -4*u + 2*k + k. Let s(o) = o**3 - o**2 - 4*o + 3. What is the remainder when 21 + (3 + 1 - (19 - 20)) is divided by s(u)?
8
Suppose 2*w - 3*a = -2*w - 565, 5*w + 3*a = -740. Let m = w + 170. Suppose -m = -u - 2*g, 2*g - 46 = -4*u + 24. What is the remainder when 59 is divided by u?
14
Let n(a) = 12*a - 18 + 4*a + a**2 - 19*a. Let u be n(11). Suppose -u*o = -69*o - 35. What is the remainder when 137 is divided by o?
32
Suppose -4*u + 54 = -2*u - 5*w, -2*u + 3*w = -66. Calculate the remainder when 4157 is divided by u.
41
Let t = -955 - -964. Suppose 4*q - 5*j - 220 = 0, -12*q + 296 = -7*q - j. What is the remainder when q is divided by t?
6
Suppose 2*u - 969 = -3*u + 2*j, u = -3*j + 204. Let n = 241 - u. What is the remainder when n is divided by 36?
10
Let t = -20 + 92. Suppose 203 = -211*k + 4212. What is the remainder when t is divided by k?
15
Let i(f) = f**3 - 15*f**2 - 19*f + 6. Let k be i(16). What is the remainder when 363 is divided by (-6 - 276/k)/(1/49)?
27
Let i(x) be the third derivative of x**5/60 - 19*x**4/24 - 187*x**3/6 - 6*x**2. What is the remainder when i(37) is divided by 13?
11
Let h = 126 - 11. Let d = -68 + h. Suppose -d = -7*r + 30. What is the remainder when 63 is divided by r?
8
Let g = -249 - -255. Let q = 197 + g. What is the remainder when q is divided by 26?
21
Let q(p) = 6*p**2 - 52*p - 45. Calculate the remainder when 124 is divided by q(11).
15
Let w = 132 - 74. Let h = -68 + 122. Let a = w - h. What is the remainder when a is divided by 3?
1
Let x = 1242 - 1211. Calculate the remainder when 1296 is divided by x.
25
Let c = 129 - 127. Suppose -4*h = -5*d + 667, -2*d + c*h = -0*h - 268. Let b(z) = z**3 - 2*z**2 + 3*z + 1. Calculate the remainder when d is divided by b(3).
17
Let l(i) = -i**2 - 7*i + 6. Let w be l(-9). Suppose 0*g - 3*g + 42 = 3*t, 15 = g + 2*t. What is the remainder when ((-5)/((-35)/w))/((-8)/112) 