*z, v*z - 23 = -3*l - 0*z. Calculate the remainder when 6 is divided by l.
1
Let k be (-2 + -2)/(-4) - -2. Suppose -s = -6*s + 5*o + 1480, o - 876 = -k*s. What is the remainder when s is divided by 49?
48
Let l = 19084 - 18760. Calculate the remainder when l is divided by 79.
8
Let h(z) = 28*z + 3. Suppose 3*j + 5*n = 88, -3*j = -13*n - 48 - 4. What is the remainder when h(4) is divided by j?
11
Suppose 441*c - 2*l - 270 = 440*c, 0 = 4*c - 3*l - 1040. What is the remainder when 256 is divided by c?
2
Let h(j) = -j**3 - 20*j**2 + 9*j + 201. What is the remainder when h(-21) is divided by 92?
85
Let a(i) = -i**3 - 9*i**2 + 7. Let p be a(-9). Let s = -178 + 177. Let b = p - s. Calculate the remainder when 21 is divided by b.
5
Suppose 37*l = 3*q + 36*l - 10456, -2*q - 3*l + 6956 = 0. Calculate the remainder when q is divided by 116.
4
Let u(k) = -12*k + 131. Let l be u(10). Suppose l*w - 806 = -608. Calculate the remainder when w is divided by 7.
4
Calculate the remainder when 493 is divided by (120/72)/((-1)/(-129)) - (-9 - -2).
49
Let r = 38076 + -38023. Suppose -4*z = -4, q - z - 261 = -0*z. Calculate the remainder when q is divided by r.
50
Suppose -3*c + 6*c - 2*p = 47, -4*p = 4. Suppose -c*v + 1188 - 318 = 0. Calculate the remainder when v is divided by 40.
18
Let o = 9997 + -6860. What is the remainder when o is divided by 185?
177
Suppose 4*i - 34 = 2*k, 2318*i = 2323*i + k - 46. What is the remainder when 63 is divided by i?
0
Let d = 19093 - 19062. Calculate the remainder when 1925 is divided by d.
3
Let r(v) = 501*v + 12050. What is the remainder when r(-15) is divided by 21?
20
Let q = -100 - 113. Let c = q + 260. Calculate the remainder when c is divided by 8.
7
Let u(w) = 33*w - 1087. Suppose -6*b + 2*b - 13 = -3*n, 2*b + 2 = 0. Suppose -5*v + 7 = -n. What is the remainder when v is divided by u(33)?
0
Let x = -3974 - -3984. Calculate the remainder when 1*-951*1*2/(-6) is divided by x.
7
Suppose 0 = 3*t + 74 - 83. Suppose -t*m - 40 + 136 = 0. What is the remainder when 42 is divided by 120/(-16)*(m/(-10) - -2)?
6
Let j(m) = -406*m - 1438. Calculate the remainder when j(-5) is divided by 152.
136
Suppose -232*l + 491*l = 240*l + 51224. What is the remainder when l is divided by 448?
8
Let z(t) be the first derivative of -5*t**3/3 - 213*t**2/2 + 9*t + 194. What is the remainder when z(-40) is divided by 76?
73
Suppose -3*t = -0*t - 48. Let l(i) = -806*i + 27446. What is the remainder when l(34) is divided by t?
10
Suppose 0 = 6*i - 299 - 1741. Suppose -5*a + 470 = -3*z, 3*z = a - 126 - i. Let j = -138 - z. What is the remainder when 99 is divided by j?
14
Calculate the remainder when 1986 is divided by (-1)/(-14) - 3854/(-1316).
0
Suppose -121*q + 45*q = -38380. Calculate the remainder when q is divided by 105.
85
Calculate the remainder when (129 + -4)/((5 + -3)/4) is divided by ((-1)/2)/((-100)/1800).
7
Let w(k) = 2*k**3 - 51*k**2 - 51*k - 48. Let c be w(26). Let b = c - -700. Calculate the remainder when 0 - 3/(6/(-20)) is divided by b.
0
Suppose 218 = b - 3*c, -826 = -3*b - 6*c - 232. Let x(n) = 1 + 0*n - 15*n - 3*n. What is the remainder when b is divided by x(-1)?
16
Let y = 1892 - 1837. Calculate the remainder when ((-654)/9)/(4/(-18)) is divided by y.
52
Let c = 52 - 50. Calculate the remainder when (10/(-30))/(c/(-96)) is divided by 4.
0
Let y(v) = -v**2 + 123*v - v**3 - 6*v**2 - 120*v - 1 - v**2. Let x be y(-6). Let h = -82 - x. Calculate the remainder when h is divided by 3.
0
Let s(w) = 504*w - 4876. Calculate the remainder when s(13) is divided by 112.
108
Let d be (1 + -1)/(2/2). Suppose d = -2*f + 3 + 3. Let s(b) = -b**3 - 3*b**2 + 15*b - 8. What is the remainder when s(-6) is divided by f?
1
Let n be (-8 + 6)/2 - -6. Suppose -760 = -5*h + n*x, 4*x = -1 + 13. Let z = -35 - -74. Calculate the remainder when h is divided by z.
38
Let x = 89 + -89. Suppose x = n - 2*u - 9, -8 = 7*u - 3*u. Suppose 38 = r + k - 3*k, 115 = 3*r - n*k. What is the remainder when r is divided by 9?
4
Suppose y - 6*y = -470. Suppose 80 = -5*u + 460. Suppose u = -56*m + 60*m. Calculate the remainder when y is divided by m.
18
Suppose 3*a - 636 = -a. Calculate the remainder when a is divided by 7/6 + 95060/2328.
33
Let v(h) = 5*h - 1. Let k(z) = -39*z + 88. Let f(x) = -k(x) - 2*v(x). Calculate the remainder when 79 is divided by f(4).
19
Suppose -y + 4 = -b - 6*y, -5*b - 4*y + 43 = 0. Let d(q) = -q + 18. Let v be d(b). Suppose 36 = -a + v*a. Calculate the remainder when 10 is divided by a.
4
Suppose -14*q + 10*q - 16 = 0, -68 = -4*w - 2*q. What is the remainder when 538 is divided by w?
6
Suppose a - 72 = 3*d + 18, 0 = -3*a - 5*d + 270. Calculate the remainder when 536 is divided by a.
86
Let m = 257 + -140. Let l(s) = -255*s**2 + 4*s**3 - 3 - 3*s**3 + 265*s**2 + 6*s. What is the remainder when m is divided by l(-9)?
21
Let y be (-2 - -5 - 67)*(-2 - -3). Let i = y + 74. What is the remainder when 8*(25/i + 1) is divided by 8?
4
Let m = -4582 - -4614. What is the remainder when 508 is divided by m?
28
Let k = 16774 + -16591. What is the remainder when 388 is divided by k?
22
Let m(y) = -y**3 - 14*y**2 - 27*y - 270. What is the remainder when 265 is divided by m(-14)?
49
Suppose -4*u + 8 = -2*u, -4*u - 348 = -4*v. Suppose 3*y - v = -3*z + 374, 4*z - y = 610. Calculate the remainder when z is divided by 13.
10
Suppose -11 = 5*i - 91. Let z = -3 - i. Let j = z + 47. Calculate the remainder when 52 is divided by j.
24
Let s = -17003 - -17077. Suppose 3*f + 6 = 0, 2*f - 7*f = 4*o + 298. Calculate the remainder when s is divided by (1 - 0) + o/(-3).
24
Calculate the remainder when (-76328)/(-987) + (-4)/(-6) is divided by 58.
20
Let w be 10*((5 - 0) + 121/(-22)). What is the remainder when 138 is divided by (w + 2 + -1)/(2/(-12))?
18
Suppose 2*v - 2*o = 54, -4*o = o + 15. Let b be (-2)/8 + (-954)/v. What is the remainder when (-406)/(-2) + b/(-10) is divided by 42?
39
Suppose -3*y - 210 = 126. Let b = y + 183. Calculate the remainder when b is divided by 2 + 140/16 + 1110/888.
11
Let c be ((-60)/(-9))/(-4*(-4)/(-24)). Let f(h) = -h + 11. What is the remainder when f(c) is divided by 11?
10
Suppose w + 3*c = 6, 4*w - c - 16 - 8 = 0. Calculate the remainder when -5 + (w/(-12)*-50 - 5) is divided by 2.
1
Suppose -17*t - 626 + 3108 = 0. Suppose t = -13*g + 15*g. What is the remainder when 144 is divided by g?
71
Let z(g) = 2*g**3 + g**2 - 6*g - 7. Let i be z(-2). Calculate the remainder when 2*72 + 5 + i + 4 is divided by 37.
35
Let k(x) be the first derivative of -5*x + 31/2*x**2 + 16. What is the remainder when k(2) is divided by 17?
6
Suppose 3*h = 30, 37 = z - h + 4 - 6. Let k = 1825 - 1043. Calculate the remainder when k is divided by z.
47
Suppose -o - 3*o = -84. Calculate the remainder when o is divided by (4 - 651/168)/((-4)/(-192)).
3
Suppose 317*a - 105 = 312*a - 3*s, 5*a - 2*s - 130 = 0. What is the remainder when a is divided by (-1)/((-2)/(-12)*-2)?
0
Suppose -d - 5 + 15 = 2*u, 14 = d + 3*u. Suppose -140 = -d*q - 4*y, 3*y = 5*y - 6. What is the remainder when q is divided by 18?
10
Let n be -39 + -4 + (-3 - -6). Suppose 2*f - 3*c = 2*c - 2, 0 = f + 2*c - 8. What is the remainder when ((-12)/(-10))/((-6)/n) is divided by f?
0
Let q = -26 + 41. Let z(n) = 3*n - 13*n + 5*n + 12 + 4*n. Calculate the remainder when z(-13) is divided by q.
10
Let a = -31 + 31. Suppose a = -5*b + 40 + 60. Suppose c - 110 = -c. What is the remainder when c is divided by b?
15
Let n(l) = 10*l**3 + 2*l**2 - l. Let c be n(1). Let r = -40 + c. Let h = r - -38. What is the remainder when 34 is divided by h?
7
Suppose 408 = 5*w + 4*c + 98, -w + c + 53 = 0. Let j(x) = x**2 - x + 170. What is the remainder when j(0) is divided by w?
54
Suppose -20 = -0*n - 5*n. Suppose -n*c = c - 10. Let k = c - -6. Calculate the remainder when 23 is divided by k.
7
Suppose 0 = -0*x - 2*x + 12. Suppose x*k + 20 = -214. Let q = k + 66. What is the remainder when 80 is divided by q?
26
Let t be (15/45)/(1/24). Let v(m) = -m**3 + 9*m**2 - 3*m - 39. Let c be v(t). What is the remainder when -113*1/(-2)*c*2 is divided by 39?
35
Let g(d) = d**3 + 5*d**2 - 6*d + 6. Let z(n) = 14*n**2 - 11*n + 4. Let r be z(-7). Let o = -757 + r. Calculate the remainder when g(-5) is divided by o.
6
Let b = -16 - -