20. Let n(l) = 13*l - 69. Calculate the remainder when n(b) is divided by 25.
23
Let g(w) = 37*w + 471. Let s be g(-13). Let q(j) = -9*j**2 + 16 - j**2 + 2*j - j**3 - j. What is the remainder when 45 is divided by q(s)?
3
Let d = -17 + 17. Suppose 4*v + 3*v = d. Suppose v = -p - 5*b + 2*b + 48, b = 4*p - 127. What is the remainder when 96 is divided by p?
30
Let j = 33302 + -33284. Calculate the remainder when 1168 is divided by j.
16
What is the remainder when (96/(-20) - -6)/((-5 + 1)/(-620)) is divided by 34?
16
Suppose 56 = 4*n - 76. Let s(g) = -g**3 + 21*g**2 + 13*g + 202. What is the remainder when n is divided by s(22)?
1
Suppose 828 = 357*a - 345*a. What is the remainder when 475 is divided by a?
61
Let v(n) = -n - 4. Let j be v(-8). Suppose -88 = q + 4*y, j*y - 48 = q + 40. Let r = -74 - q. Calculate the remainder when 68 is divided by r.
12
Let b = -260 - -258. Calculate the remainder when 274 is divided by (0 + 69/b)*556/(-417).
44
Suppose 5*r + 825 - 884 = -4*x, 4*r = x + 64. What is the remainder when 548 is divided by r?
8
Suppose 27*s + 2090 = 8*s. Let m = 123 + s. What is the remainder when m is divided by ((-3)/(-2))/(3/18)?
4
Let p = -42 - -78. Let t(m) = -m**3 + 16*m**2 + 21*m - 10. Let c be t(17). Let x = c - 45. What is the remainder when p is divided by x?
10
Suppose -31*q = -35*q - 20. Let y be (q/(-4))/(1/(-28)). Let i = y + 47. Calculate the remainder when 58 is divided by i.
10
Let x be (-6)/(-21) - (-46)/(-14). Suppose -3*k + o + 2*o = -69, 0 = 4*k + 3*o - 78. Calculate the remainder when (-103*3/6)/(x/6) is divided by k.
19
What is the remainder when (0 + (-1492)/14)/(190/(-665)) is divided by 98?
79
Suppose -41 = 3*m - 788. Calculate the remainder when m is divided by 3/(-24) + 2020/32.
60
Suppose 440 = 13*r - 11*r. Suppose -208 = -3*s + 164. What is the remainder when s is divided by r/16 - 2/(-8)?
12
Let i = -57 + 84. Let y(t) = 15*t**3 + 4*t**2 - 3*t - 3. Let c be y(-1). Let g = i + c. What is the remainder when 31 is divided by g?
15
Suppose 5*w + 13 = -h, -4*h + w = -w - 14. Suppose h*t + 26 - 178 = 0. Calculate the remainder when t is divided by 22.
10
Let p = -312 - -363. Suppose p = 7*u - 4*u. What is the remainder when 371 is divided by u?
14
Suppose 0 = 4*h + 2*b - 412, 73*b - 68*b + 361 = 3*h. What is the remainder when 1166 is divided by h?
96
Let f(d) = -8*d + 11. Suppose 5*y - 5 = -5*m, 5*y + 18 = 3*m - 9. Calculate the remainder when (m - 44/(-8))*2 is divided by f(0).
8
Let m = -295 + 304. Suppose -m*x + 15 = -8*x. Calculate the remainder when 140 is divided by x.
5
Suppose -2 = 2*s, -21*j + 26*j + s - 8144 = 0. What is the remainder when j is divided by 23?
19
What is the remainder when 657 is divided by 36/(-39)*(-69 + 56)?
9
Suppose g = -5*m - 61 - 77, g - m + 126 = 0. Let i be (-13 - -158) + (-1)/(1/4). Let q = i + g. Calculate the remainder when q is divided by 8.
5
Suppose 43*q - 3068 = -1073 + 1703. What is the remainder when 333 is divided by q?
75
Suppose 0*k = -11*k + 275. Let t = 18 + -16. Let n(i) = 47*i + 3. Calculate the remainder when n(t) is divided by k.
22
Let n(g) = g + 43. Let b be n(-9). Calculate the remainder when 156 is divided by 51/b + (-37)/(-2).
16
Let o be 36/378 + 22088/42. Let n = o - 524. Calculate the remainder when 15 is divided by n.
1
Let p = -78708 - -78709. Calculate the remainder when (-3)/(9/3) - -22 is divided by p.
0
Suppose -g + 7 = 0, 3*g - 34 = 4*q - 1109. Calculate the remainder when 511 is divided by q.
237
Let w = -66 + 72. What is the remainder when (6576/(-20))/w*-5 is divided by 23?
21
Let f be 13/(3/(-6)*(-3 - -5)). Let n(i) = i**2 + 7*i - 33. Let o(p) = 2*p - 4. Calculate the remainder when n(f) is divided by o(8).
9
Let g(x) = -x**2 + 18*x - 40. Let b be g(8). Suppose -b*w + 3458 = -21*w. Calculate the remainder when w is divided by 46.
44
Let m be 297/(-1 - (-6 - -6)). Let g = -89 - m. What is the remainder when g is divided by 21?
19
Let k = 327 + -429. Let h = k - -323. What is the remainder when h is divided by 16?
13
Suppose -5*r + 67 = 2*y, 33 = -77*r + 80*r + 3*y. Let u = 11 + -7. What is the remainder when r is divided by u?
3
What is the remainder when 1174 is divided by ((-400)/150)/((-5)/150)?
54
Calculate the remainder when ((-4)/2*-9)/(3402/678 - 5) is divided by 24.
9
Let f = -155 - -152. Calculate the remainder when 156 is divided by (f/(45/(-40)))/(2/24).
28
Suppose -7*z + 1017 = 2. Calculate the remainder when 432 is divided by z.
142
Suppose 2*i - 1914 = z, 0 = -i + 314*z - 312*z + 951. What is the remainder when i is divided by 388?
183
Let l = -17087 - -17298. Calculate the remainder when 2941 is divided by l.
198
Let y = -1105 + 1189. What is the remainder when 162 is divided by y?
78
Let h = 202 - 206. Let u(q) = -q**2 - 13*q - 29. What is the remainder when 11 is divided by u(h)?
4
What is the remainder when 159 is divided by (-28)/(-42) + 1/(-3)*-166?
47
Suppose 30 = z - 65. Let g be 12/(-150) - (-635)/125. Calculate the remainder when z is divided by (1/10*g)/((-4)/(-264)).
29
Suppose l + 31 = -0*q - 2*q, -3*q - 54 = 4*l. Suppose 4*p + 3*j - 477 = 0, -2*p - j = 3*p - 588. Calculate the remainder when p is divided by (0 - -8)*(-35)/q.
17
Suppose 2*w + 22 = 2*b, -13 = 4*b + 7. Let r = -12 - w. What is the remainder when (-5 - 2) + 15 + 3 + -4 is divided by r?
3
Let m(s) = 3*s**2 + 50*s + 145. What is the remainder when m(-20) is divided by 89?
78
What is the remainder when (2 - 1261/4)/((-44)/176) is divided by 208?
5
Let i = 367 - 465. Let n = i - -119. Calculate the remainder when 29 is divided by n.
8
Let p = 2665 + -1408. What is the remainder when p is divided by 211?
202
Suppose 960 + 2598 = 3*y + 3*d, -d = 2*y - 2378. What is the remainder when y is divided by 1190?
2
Let z(m) = 2*m**3 + 39*m**2 - 22*m + 7. Let a be 3/(((-6)/(-36))/((-20)/18)). Calculate the remainder when 186 is divided by z(a).
45
Let z be (-43 - 2)/(-3)*-2. Let b be ((-3)/3)/1*z/(-2). Let t = b + 50. What is the remainder when t is divided by 12?
11
Let q(r) = -r**3 + 4*r**2 - 5. Let m(v) = 6*v**2 - 26*v + 50. Let c = 681 + -677. What is the remainder when q(-4) is divided by m(c)?
39
Let k = 139 - 137. Suppose -19*m = -4*d - 17*m + 50, -2*m = -k*d + 24. What is the remainder when 134 is divided by d?
4
Suppose -7*t = -724 + 493. Let h(i) = -i**2 + 11*i. Let w be h(8). Let s = t - w. What is the remainder when 30 is divided by s?
3
Let z = 121 + -10. Suppose -37*c + 49*c - 137*c + 83125 = 0. What is the remainder when c is divided by z?
110
Let q = -4474 + 4614. Calculate the remainder when 229 is divided by q.
89
Let t be (5984/(-128))/(1/(-8)). Suppose -6*h + t = -280. Calculate the remainder when h is divided by 22.
21
Suppose -2*k + 311 = -q, 0 = k - q - 3*q - 152. Suppose 4*a - k = -3*h + 3*a, 156 = 3*h + 2*a. What is the remainder when h/8*(-12)/(-6) is divided by 10?
3
Let h = 24 + 12. Suppose -345 = -h*q + 33*q. Let y = q + -94. What is the remainder when 25 is divided by y?
4
Let a(o) = -14*o + 5. Let j be a(12). Let w = -54 - j. What is the remainder when w is divided by 28?
25
Suppose -31*x = -22*x + 1188. What is the remainder when 44 is divided by (-247)/(-9) + x/297?
17
Let q = -19 + 36. Suppose q*n + 1040 = 15*n. Calculate the remainder when ((-69)/15 - -1)*n/12 is divided by 53.
50
Let b = -6157 - -6201. Calculate the remainder when 7126 is divided by b.
42
Let r be 6/30 - (-1)/(-5). Suppose r = 4*v - 4*q - 1356, 3*v + 21 = -2*q + 1013. What is the remainder when v is divided by 56?
54
Let a(d) = -d**3 + 3*d**2 - 1. Let b be a(2). Calculate the remainder when b + 1 + (4 - -16) is divided by 17.
7
Let p be 135/(-30)*8/(-6). Suppose 2*l - 4*s - 26 = 0, l - 4*s = 11 - p. Let f = 418 + -294. What is the remainder when f is divided by l?
19
Suppose a - 3*l = 252, 0 = 71*a - 74*a - 5*l + 812. Calculate the remainder when a is divided by 36.
12
Let g(z) = z**3 + 8*z**2 + 5*z + 17. Suppose -2*s + 4*a - 6 + 0 = 0, -2*s = -2*a + 10. Let t = 214 + -95. What is the remainder when t is divided by g(s)?
26
Let t(c) = -c**3 - 2*c - 1684. Let h be t(0). Let w be -2 + 32/18 + h/36. Let b = w + 83. What is the remainder when 140 is divided by b?
32
Let r(n) = n**2 + 8*n - 7. Suppose 54 = -3*h - 3*h. Let t be r(h). What is the remainder when 142