pose 15*s + 2300 = 70*s + 37*s. Calculate the remainder when 1027 is divided by s.
2
Let d = -5726 - -5765. What is the remainder when 167 is divided by d?
11
Suppose -z + 26*u - 21*u = 4, -u - 10 = -2*z. Calculate the remainder when z is divided by 2.
0
Let b = 77 - 80. What is the remainder when 165/(-6)*(b/(-3) - 3) is divided by 15?
10
Let m = -12 + 5. Let t(g) = g**2 + 2*g + 5. Let r = -2570 - -2587. What is the remainder when t(m) is divided by r?
6
Let q be (-35)/(-1) + -4 - -1. Let a = -7 + q. Suppose i + 2*i = -f, 0 = -5*i - a. What is the remainder when 28 is divided by f?
13
Let w(o) = -o**3 + 18*o**2 + 87*o + 44. What is the remainder when ((-48)/10)/((-33)/550) is divided by w(22)?
14
Let b(j) = j**3 - 5*j**2 - 8*j - 9. Let v(l) = l**2 + l - 3. Let d be v(-4). Calculate the remainder when b(d) is divided by (-2 - (-7)/3)/(11802/(-738) - -16).
38
Let m = 76 + 101. Calculate the remainder when m is divided by (-51 - -49)*63/12*8/(-14).
3
Suppose -23*a = -21*a + 42. Calculate the remainder when (31 - -1)*(-15 - a) is divided by 40.
32
Let j = -35 + 36. Let n be (-1 + (1 - j))*261/(-9). Suppose 30*s - 4 = n*s. What is the remainder when 18 is divided by s?
2
Let p(b) = 11*b**2 - 32*b + 39. Calculate the remainder when p(9) is divided by 79.
10
Suppose -68*p + 89*p = 400 + 1574. Calculate the remainder when p is divided by 54.
40
Suppose -13*u + 8*u = -20. Suppose u*m = m + 1620. Suppose 100 = 5*c - m. Calculate the remainder when c is divided by 26.
24
Suppose 2*k = 2, -5*s - k - 218 = 1671. Let u = s + 384. What is the remainder when 97 is divided by u?
1
Let v(u) = -9*u - 12. Let m(t) = 38*t - 215. Calculate the remainder when m(8) is divided by v(-4).
17
Let r = 3200 - 2981. Calculate the remainder when r is divided by 32.
27
Suppose 1451 - 1698 = -f. Calculate the remainder when 266 is divided by f.
19
Suppose 2 - 16 = 7*y. Let p be (-143)/5 + (-1)/(-5)*y. Let g = 42 + p. Calculate the remainder when 25 is divided by g.
12
Suppose 0 = 26*s - 142 + 113 - 725. Let l(y) = y**3 - 2*y - 1. Let r be l(2). Suppose -u = -r*u + 172. What is the remainder when u is divided by s?
28
Suppose -224 = -3*m + 2*l, -3*m + 165 + 69 = 3*l. What is the remainder when m is divided by 14*(152/16)/(-19)*80/(-14)?
36
What is the remainder when 554 is divided by 4/(-46) - 1289*(-4)/46?
106
Let t be 2 - 1/((-9)/(-6) - 1). Suppose -d + 4*q + 5 = 0, 2*d + 2*q - 31 - 9 = t. What is the remainder when 20 is divided by d?
3
Suppose 3*u = -3*r + 2*u - 13, u = -4. Let q(w) = 66*w**2 - 29*w - 4. Calculate the remainder when q(r) is divided by 34.
31
Let n be (-158)/(-22) + (-48)/264. Let d be (0 + (-8)/(-14))*n/1. Suppose d*g - 410 = -f, 2 = -0*f - f. Calculate the remainder when g is divided by 26.
25
Let c = 200 + -136. What is the remainder when c is divided by 1 - 2 - 4/(-16)*76?
10
Suppose 9*d - 4*d = -4*q + 67, 5*q = -3*d + 22. What is the remainder when 1053 is divided by d?
8
Let k(i) = -i**3 + 13*i**2 - 3*i - 129. Calculate the remainder when k(8) is divided by (-18)/42 - 762/(-14).
5
Let v = -7 - -8. Suppose 0 = c - 5*j + 7, -3*c - v = -0*j - 5*j. Calculate the remainder when 163 is divided by c.
1
Suppose 45*s - 5217 = 7968. Calculate the remainder when s is divided by 19.
8
Suppose 0 = -u + 1, 2*i - 31*u + 35*u = 952. What is the remainder when i is divided by 47?
4
Suppose 59407 - 17310 = 43*p. Calculate the remainder when p is divided by 35.
34
Suppose -5*l - 79 = -4*d, -191*l - 63 = -3*d - 186*l. What is the remainder when 69 is divided by d?
5
Suppose -27 + 1889 = a. Suppose 0 = -4*p + 2*p + b + 359, b = -2*p + 353. What is the remainder when p is divided by a/42 + (-2)/(-3)?
43
Let w = -700 - -1128. What is the remainder when w is divided by 14?
8
Let z(y) = 3*y - 16. Let s be z(8). Suppose -142 = -s*x + 154. Suppose -2*n + 10 = 2*a, -2*n + 3*a = n - 33. What is the remainder when x is divided by n?
5
Let v = -38 + 162. Let w = v + 8. Suppose -w = -3*s - 3*s. Calculate the remainder when 41 is divided by s.
19
Let l(p) be the second derivative of 29*p**3/2 - 467*p**2/2 + 49*p. What is the remainder when l(11) is divided by 38?
34
Let h(d) = 385*d**3 + 2*d**2 - 17*d + 17. Calculate the remainder when h(1) is divided by 45.
27
Suppose -12*v + 3289 = 2413. Calculate the remainder when 400 is divided by v.
35
Suppose -4*t + 79 = -3*l, 6*l + 4 = 2*l. Suppose 1408 + 1649 = 117*y - 1038. What is the remainder when y is divided by t?
16
Let k = 10133 - 10062. What is the remainder when 2218 is divided by k?
17
Suppose -97 = -29*u + 19. Suppose 0 = -4*y - u*g + 736, -16*g - 920 = -5*y - 20*g. Calculate the remainder when y is divided by 31.
29
Let s be -13 - -9 - (-11 + 4). Suppose 5*l = -s*y + 1, -y - 15 = 4*l - 20. What is the remainder when (-2*6/2)/(-2) is divided by l?
1
Let o(r) = -1221*r + 1060. Calculate the remainder when o(-4) is divided by 313.
310
Let u(s) = -15*s**3 + 6*s - 8. Let c be u(-4). Suppose 0*h = 2*w + 2*h - c, 5*h - 25 = 0. What is the remainder when w is divided by 42?
39
Let p(d) = 78*d + 22. Let a be p(-1). What is the remainder when (-422)/(-8) + (-14)/a is divided by 28?
25
Suppose -21 = -3*n - 3*u, 13*n + 4*u = 10*n + 20. Let f(j) = -67*j - 1. Let p be f(-2). Let o = p + -62. Calculate the remainder when o is divided by n.
7
Let q = 11309 - 9336. What is the remainder when q is divided by 45?
38
Let v(f) = f**3 - 3*f**2 - 6*f - 2. Suppose 298 = 9*t - 80. What is the remainder when (-10)/((-1)/(t/12)) is divided by v(5)?
17
Suppose 903*v = 892*v - 1683. What is the remainder when 48 is divided by v/2*20/(-90)?
14
Let w(c) = 6*c**2 + 8*c + 43. Let q be w(-7). Suppose 3*h = q - 95. Calculate the remainder when h is divided by 11.
7
Let b = -2736 - -1827. What is the remainder when 1*(b/(-21) + (-4)/14) is divided by 14?
1
Let g = -39 - -49. Let r(d) = -1166*d + g + 1164*d + 27 + 7. What is the remainder when r(16) is divided by 10?
2
Let w = 109 - 105. Suppose w*a - 16 = 0, -102 = -2*m - 3*m + 2*a. What is the remainder when 130 is divided by m?
20
Let p(k) = 189*k**2 - 20*k - 38. Let i be p(-2). Suppose -9*c = -i + 272. What is the remainder when c is divided by 29/2 + ((-15)/(-6))/(-5)?
12
Suppose -4*s + 74 = 5*h, 6*s - 30 = 4*s + h. Suppose 0*z - s*z = -256. Calculate the remainder when (-4 - 36/(-8))*62 is divided by z.
15
Let w(z) = -z**3 + 30*z**2 - 30*z + 36. What is the remainder when 261 is divided by w(29)?
2
Let a(t) = t**2 + 49*t - 733. What is the remainder when 364 is divided by a(-62)?
72
Let a = -594 + 650. Calculate the remainder when 331 is divided by a.
51
Let c(z) = -z**2 - 2*z + 2. Let i be c(1). Let y be (-4 + 2 - 6)/(2/i). Calculate the remainder when 24 is divided by (4/y)/((-2)/(-26)).
11
Let q(w) = -w**3 + 16*w**2 + 84*w - 62. Calculate the remainder when 682 is divided by q(20).
16
Suppose 12*y - 229 - 51179 = 0. Suppose y = 60*f - 18*f. What is the remainder when f is divided by 31?
9
Let s = -1219 - -4758. What is the remainder when s is divided by 14?
11
Let w(o) = 14*o**2 + 9*o - 7. Let k be w(2). Let u = k + -59. Calculate the remainder when 204 is divided by u.
4
Suppose 3*o + 3 = 0, 0 = h + 5*o - 73 + 3. Suppose h = -7*s - 345. What is the remainder when (148/6)/((-8)/s) is divided by 47?
44
Let a = 240 - 236. Suppose 617 - 183 = a*x + l, l + 2 = 0. Calculate the remainder when x is divided by 37.
35
What is the remainder when 58 - -38*(-8)/(-16) is divided by 68?
9
Suppose 3*r - 6*f + 3*f - 51 = 0, 4*r - 5*f - 67 = 0. Let t = 75 + 103. Calculate the remainder when t is divided by r.
16
Let x be (374/4)/((-5)/10). Let j = -169 - x. Calculate the remainder when 107 is divided by j.
17
Suppose 0 = 2*f + 3*o - 263, 0 = -f - 2*o + 24 + 109. What is the remainder when f is divided by 19?
13
Suppose -208*z - 214 + 2681 = 387. Let h(o) = o**3 + 6*o**2 - 5*o - 2. Calculate the remainder when h(-6) is divided by z.
8
Let r = 58 - 47. Let o = -8 + r. Suppose o*f = -v - 0*v + 35, -v + 4*f = -21. What is the remainder when v is divided by 8?
5
Let k(g) = -g + 24. Let u be (75/(-84) - (-10)/70)*-8. What is the remainder when 74 is divided by k(u)?
2
Suppose 10*s + 1288 = 17*s. Let a = s - 147. Calculate the remainder when a is divided by 10.
7
Suppose -8 = -4*d + 4*i, -7*i + 3*i - 4 = -3*d. Suppose 22 = 