ose 0 = -2*j + 19 - 103. Let i(y) = -2*y**2 + 18*y - 16. What is the remainder when (-112)/j*15/2 is divided by i(7)?
8
Let d(x) = x**2 + x + 22. Suppose 0 = -2*b + 3*w + 30, 4*b - 17*w = -18*w + 46. Suppose -599 = -b*s + 157. Calculate the remainder when s is divided by d(0).
19
Suppose q = -2*n + 358, 0 = 2*q - 21 + 13. What is the remainder when n is divided by 176?
1
Suppose -z - 2 = -5*g, -z + 5*g = -5*z + 42. Suppose 6*u + z = 4*u, 4*u = h - 57. Let l(x) = 7*x**2 + 2*x - 1. What is the remainder when h is divided by l(-2)?
18
Suppose -39*p + 44*p = 0. Suppose 0*i - 3*a - 156 = -3*i, 2*i - 4*a - 98 = p. What is the remainder when 493 is divided by i?
53
Let k = 90 + -58. Suppose 110*g - 5*t = 111*g + 64, 0 = 2*g - 4*t - 82. Calculate the remainder when (30/4)/(6/k) is divided by g.
7
Let w(j) = -2*j**3 + 14*j**2 - 3. Let f be w(6). Suppose 0 = 350*x - 347*x - f. What is the remainder when 80 is divided by x?
11
Let x(r) be the second derivative of -r**4/4 - 3*r**3 - 5*r**2/2 + 365*r. Let s = 135 + -89. What is the remainder when s is divided by x(-4)?
8
Let a(k) be the third derivative of 13*k**4/12 - 5*k**3/6 - 109*k**2. Let v be 1*-2*4/(-8). Calculate the remainder when 164 is divided by a(v).
17
Let u(p) = 44*p + 3312. Let s(a) = 4*a - 3*a + a**2 + a**3 + 0*a**3 + 4. What is the remainder when u(-75) is divided by s(0)?
0
Suppose t - 2 = -4*h - 3, 0 = 4*t + 4. Suppose 99 = -h*z + z. What is the remainder when z is divided by 34?
31
Suppose 5*f + 29 - 4 = -2*b, -b = f + 14. Let n be 4/(-3) - (5 + 80/b). What is the remainder when 150 is divided by n/(-4) + 123/4?
26
Suppose 4 = -4*y - 52. Calculate the remainder when 2/y + (-7111)/(-91) is divided by 27.
24
Let k(f) = 5*f**2 + 7*f + 12. Suppose -9*n + 3 = -6. What is the remainder when k(-4) is divided by (1 - (n - -7))/(10/(-20))?
8
Suppose -3*r = -5*r - p + 7, -5*r + p = -14. Let o(c) = 2*c + 9. Let u be o(r). Suppose -u = -4*q + 29. What is the remainder when q is divided by 7?
4
Suppose -24*o + 14*o - 46*o = -672. Suppose 4*g + 3*z + 0*z - 293 = 0, -75 = -g + z. What is the remainder when g is divided by o?
2
Suppose -3*b - 12 = 0, 0 = 8*q - 10*q + 5*b + 852. Suppose q*v = 409*v + 357. What is the remainder when 192 is divided by v?
39
Let p be 10/(-6)*6*3/(-6). Suppose 3*z - 276 = -z - 2*l, -80 = -z + p*l. Suppose 37 + z = d. What is the remainder when d is divided by 22?
19
Let a = 1 + 38. Suppose 5*m = 4*v - 9*v + 30, 2*m - a = -5*v. Let o = v - 3. What is the remainder when 21 is divided by o?
3
Let m(b) = -3*b**3 - 6*b**2 + 2*b - 20. Let d be m(-6). Suppose -t - 4*t + 506 = -2*f, -4*t = -4*f - d. What is the remainder when t is divided by 13?
11
Suppose 8*i - 10109 = 29531. What is the remainder when i is divided by 177?
176
Suppose r + 5*j = 227, -4*r - 10*j + 7*j = -959. Calculate the remainder when r is divided by 42.
32
Let k = -433 + 432. Calculate the remainder when (k/(-3))/(10/1410) is divided by -1*(-1 + 2) - -26.
22
Let r = -500 + 373. Let h = -31 - -210. Let c = h + r. What is the remainder when c is divided by 18?
16
Let i = -353 - -205. Let p = i - -256. Suppose -4*o = 12, 69 = 5*u - 3*o - 50. What is the remainder when p is divided by u?
20
Let w be (-1)/13*-2 - (-3888)/2106. Suppose j - 4*x = -0*j - 16, 0 = -5*j + w*x + 10. Calculate the remainder when 92 is divided by j.
0
Let z(f) = -30*f + 1686. What is the remainder when 3425 is divided by z(54)?
59
Let g = 14 - 10. Suppose g*f + 20 = 3*c + 6*f, -3*c + f + 35 = 0. Let o = -74 - -110. Calculate the remainder when o is divided by c.
6
Calculate the remainder when (7/(-2))/(10/(-20)) is divided by (-4)/(-3) - 6/(-9).
1
Suppose 103*w + 76952 - 136349 = 453646. What is the remainder when w is divided by 89?
86
Let d = -1150 - -773. Let t = 388 + d. Calculate the remainder when 351 is divided by t.
10
Let t(j) = 143*j - 136. What is the remainder when 1957 is divided by t(1)?
4
Let m(d) = d**2 - 4*d - 1. Let q(c) = 7*c**3 + 5*c**2 - 6*c - 3. What is the remainder when q(3) is divided by m(-5)?
37
Calculate the remainder when (8 - 66 - 12)*-12 is divided by 107.
91
Let n(w) = -2*w**2 + w - 3. Let q be n(2). Let x be q + 10 + -87 + (-1 - -1). Let j = 30 - x. Calculate the remainder when j is divided by 17.
14
Suppose 81*b + 1424 = 73*b. Let i = b + 193. What is the remainder when 161 is divided by i?
11
Suppose 20*m = 932 + 428. Calculate the remainder when m is divided by 33.
2
Let i = 2043 - 884. What is the remainder when i is divided by 147?
130
Suppose 0 = c - 3*c - 4. Let x(s) = 95*s + 513. What is the remainder when x(-5) is divided by 84/(-9)*3/c?
10
Let r(q) = 3*q**2 + 141*q + 1501. Calculate the remainder when r(-12) is divided by 169.
72
Let s be 17 + 17 - (-5 + -1). Suppose -m = -3*w + s, 7*m + 4 = -w + 3*m. What is the remainder when 20 is divided by w?
8
Suppose -2*u + 1077 + 4643 = 0. Suppose 20*l = -32*l + u. Suppose 2*m = 27 + 1. What is the remainder when l is divided by m?
13
Suppose -5*p + 12*o = 13*o - 25, 0 = 4*p + 5*o - 41. Suppose -p*n = -12, 0 = -3*c - 12*n + 8*n + 81. What is the remainder when 194 is divided by c?
10
Suppose -2*w + 7*y - 659 = 2*y, 2*w + 709 = -5*y. Let o = w - -971. What is the remainder when o is divided by 70?
69
Let j = -5171 - -5259. Calculate the remainder when 693 is divided by j.
77
Let d(n) = n**3 + 15*n**2 + 24*n - 104. Calculate the remainder when 2364 is divided by d(-10).
24
Suppose 927*h + 264 = 920*h + 1720. What is the remainder when 422 is divided by h?
6
Suppose -5*p - 317 = 10*a - 13*a, a - 4*p - 115 = 0. What is the remainder when a is divided by 55?
44
Suppose -16*j = 620 - 28. Let c = 164 + j. Suppose -3*t - 8 = -3*m - 83, -4*t + 2*m + 102 = 0. What is the remainder when c is divided by t?
23
Suppose -693*g + 954 = -690*g. Calculate the remainder when g is divided by 66.
54
Let w(t) = -t**3 + 25*t**2 - 19*t - 3. Suppose -5*x + 114 = 3*c, 117*x + 3*c - 90 = 113*x. What is the remainder when w(x) is divided by 60?
57
Suppose -2*f = v - 3*f - 70, 9 = -3*f. Suppose 88*w = v*w + 924. What is the remainder when 214 is divided by w?
38
Suppose 2*d - 5*d + d = 0. Suppose 11*s - 5*s - 18 = d. Suppose -3*g = 4*q - 0*q - 237, 0 = -s*q + 2*g + 165. What is the remainder when q is divided by 29?
28
Let y = -3159 - -3281. Calculate the remainder when y is divided by -1 + 4/2 - -6.
3
Calculate the remainder when 243 is divided by (6/(-12))/((-222)/44 + 5).
1
Let l = 169 + -152. Let b be (-4)/(-10) + 22/(-55). Suppose 2*j + b*j + 4*r - 168 = 0, 0 = r - 3. What is the remainder when j is divided by l?
10
Suppose -5*a - n = -961, 0 = -4*a - 459*n + 462*n + 803. Let o be 6/2*(-4 + 1). Calculate the remainder when a is divided by (-353)/o + (-2)/9.
38
Let c(o) = o + 7 - 18*o + 8*o. Calculate the remainder when 95 is divided by c(0).
4
Let u = 869 + -489. Let r = u - 370. Calculate the remainder when 49 is divided by r.
9
Let j = -9693 - -9726. Let b(o) = 8*o**2 + 2*o - 4. Calculate the remainder when b(-4) is divided by j.
17
Let q(h) = 6*h + 77. Calculate the remainder when q(40) is divided by 8.
5
Suppose 0*h + 5*h = 70. Suppose 2*a + u = -u, 12 = 2*a - u. Calculate the remainder when 23/(-5*a/(-60)) is divided by h.
13
Let b be (-5 - 55/(-10))*-6. Let a = 4 - -29. What is the remainder when a is divided by (21 + b)*4/6?
9
Suppose 12*o - 7*o = -3*t - 868, -687 = 4*o - 5*t. Let g = -151 - o. Calculate the remainder when g is divided by (18/8)/(21/56).
4
Let x(c) = 14*c**3 - 80*c**2 + 7*c - 10. Calculate the remainder when 525 is divided by x(6).
173
Let x be 2588/20 - (-6)/(-105)*7. Let w = x + -32. What is the remainder when w is divided by 23?
5
Calculate the remainder when 83 is divided by ((-560)/68)/(-2) + (-12)/102.
3
Suppose -12*q - 9277 + 11521 = 0. What is the remainder when 1312 is divided by q?
3
Let y(w) = -w**2 + 9*w - 4. Let o be y(6). Let l(q) = 17*q - 4*q**2 + 1528 - 3075 + 1539 + 3*q**2. Calculate the remainder when 201 is divided by l(o).
31
Let z = 4688 - 213. What is the remainder when z is divided by 20?
15
Suppose -4 = -2*c, 0 = -4*y - 8*c + 9*c + 402. Let p = -44 + y. Calculate the remainder when p is divided by 9.
3
Suppose -10*p + 19536 + 8164 = 0. Calculate the remainder when p is divided by 66.
64
Let l be (-554)/(-5) + 16/80. Let m = l + 