culate the remainder when 74 is divided by q(-20).
17
Let v(s) = -5*s - 13. Calculate the remainder when 72 is divided by v(-10).
35
Let a be (-4)/(-18) + (-33)/27. Let b = a + 1. Suppose b*s = -4*s + 24. What is the remainder when 9 is divided by s?
3
Suppose 7*q = -4*y + 11*q + 76, 0 = 5*y + 2*q - 88. What is the remainder when 86 is divided by y?
14
Suppose -163*r + 139*r + 12912 = 0. What is the remainder when r is divided by 18?
16
Suppose -7*n - 386 = -414. What is the remainder when 122 is divided by n?
2
Suppose -216 = 3*v - 0*v. Let u(a) = -9*a - 9. Let p be u(-2). What is the remainder when 25 is divided by 222/16 - p/v?
11
Suppose -16*f - 2*f = -2394. What is the remainder when 396 is divided by f?
130
Let o(q) be the third derivative of 7*q**5/60 + q**4/12 - q**3/6 - 7*q**2. Calculate the remainder when o(-4) is divided by 232/9 + 6/27.
25
Let r(n) = n**3 + 30*n**2 - 30*n + 136. What is the remainder when r(-31) is divided by 16?
9
Suppose 5*o = 3*t + 23, -o + 3*o - 5 = -3*t. Suppose 1345 = 5*x + 4*i, i + o*i - 794 = -3*x. Calculate the remainder when 25 is divided by x/14*4/6.
12
What is the remainder when (78/4)/(6/32) is divided by 27?
23
Suppose -84*u - 3080 = -13916. Let z(v) = -2*v**3 - 5*v**2 + 5*v + 5. What is the remainder when u is divided by z(-4)?
30
Let v = 16 - 22. Let n be 24 - (-3)/(v/(-4)). Suppose -3*c - 2*k + 18 = -0*k, 4*c + 2*k = n. Calculate the remainder when 39 is divided by c.
7
Let c(m) = 16*m - 18. Let x be c(12). What is the remainder when x + (-3 + 4)*5 is divided by 30?
29
Let k be (-8)/(-1)*(-10)/20. Let c = 19 + k. Calculate the remainder when 89 is divided by c.
14
Suppose -16*k + 35 = -493. Suppose -5*c = 5*m - 1000, -5*m + 6*c = 4*c - 972. What is the remainder when m is divided by k?
31
Let z(w) = 6*w - 234. What is the remainder when 61 is divided by z(44)?
1
What is the remainder when (-14 - 14)*(-78)/21 is divided by (-1218)/(-35) + 1/5?
34
Let r = -34 - -47. Let g(n) = -n**2 - 10*n - 9. Let o be g(-9). Suppose 0 = -4*u + 20, o*u = -3*s - u + 158. What is the remainder when s is divided by r?
12
Let z(x) = x**3 - 39*x**2 + 79*x - 79. What is the remainder when z(37) is divided by 160/9 - (-4)/18?
16
Calculate the remainder when 0 + (0 - -1) + 361 + 98 is divided by 92.
0
Let n = -2238 - -3096. Calculate the remainder when n is divided by 48.
42
Let z = 14 - -3. What is the remainder when z is divided by 36/(-162) + 0 + (-112)/(-18)?
5
Let b(d) = -d**3 - 3*d**2 - 6*d - 1. Let h be b(-5). Suppose 21 = -19*j + 20*j. What is the remainder when h + (-3)/(-3)*3 is divided by j?
19
Let d = -26 + 16. What is the remainder when 11 is divided by (3 + 0)*(-4)/20*d?
5
Let c = -185 + 226. Calculate the remainder when 778 is divided by c.
40
Suppose 11*y = 9*y, 5*c - 50 = 5*y. Calculate the remainder when 9 is divided by -1 + -1 + c*(-8)/(-20).
1
Let n = 2 + -7. Let m = 23 - n. Calculate the remainder when m is divided by (10/6)/(5/45).
13
Let l(u) = -u**2 - 3*u - 2. Let n be l(-3). What is the remainder when ((-3)/(-9))/((6/n)/(-441)) is divided by 18?
13
Let h = -64 + 85. Calculate the remainder when 377 is divided by h.
20
Let b = 155 + -39. Suppose -9 = -5*s + b. What is the remainder when 72 is divided by s?
22
Let q = 449 - 435. What is the remainder when 25 is divided by q?
11
What is the remainder when 79 is divided by 31 + (8/(-2))/1?
25
Let b be (-561)/44*(-2 + (-4)/6). Calculate the remainder when 73 is divided by 888/b - (2 - (-32)/(-17)).
21
Suppose -3*y = -0*y - 2*j - 13, -9 = -y + 3*j. Suppose 5*l + 2*i - 65 = 0, -5*l - y*i + 70 = -0*i. What is the remainder when 20 is divided by l?
9
Let g(b) = -1 + 12*b - 2 + 4*b - 6*b. Let a = 7 + 8. What is the remainder when g(3) is divided by a?
12
Suppose 2*u + 3*r - 8 = 3*u, 5*u + 40 = -5*r. Let w = u - -27. What is the remainder when w is divided by 11?
8
What is the remainder when (73/(-4))/(3/(-12)) is divided by 23 - (-6)/((-15)/(-5))?
23
Let v(b) = -b**2 - 6*b + 4. Let k be v(-8). Let c = k + 13. Calculate the remainder when c is divided by 1.
0
What is the remainder when 389 is divided by 9 + (-1037)/119 + 780/14?
53
Let k = 1731 - 1715. What is the remainder when 24 is divided by k?
8
Let q(m) = m**2 - 5*m - 50. What is the remainder when 25 is divided by q(11)?
9
Let i be (-2)/(-7) - 12/42. Suppose 5*x - 14*x + 315 = i. What is the remainder when x is divided by 13?
9
Let y(j) be the first derivative of -5*j**2/2 - j - 2. What is the remainder when y(-2) is divided by (44/(-16) - -2)*(-32)/12?
1
Let n(q) = -214*q - 370. What is the remainder when n(-5) is divided by 37?
34
Suppose 6*y + 242 = 10*y + q, -4*y + 230 = -5*q. Calculate the remainder when 160 is divided by y.
40
Let x(p) = 15*p - 62. Calculate the remainder when (-2)/3 - 232/(-6) is divided by x(5).
12
Let x be 2*2*(0 + -1). Let l = 2 - x. What is the remainder when 15 is divided by l?
3
Let h(i) = 325*i + 63. Calculate the remainder when h(1) is divided by 30.
28
Calculate the remainder when 318 is divided by (-3521)/(-42) + 2 + (-17)/6.
69
What is the remainder when 250 is divided by 6098/54 + 6/81?
24
Suppose 40 = 5*z + 5*g, -4*g = 11*z - 9*z - 12. What is the remainder when 40 is divided by z?
0
Suppose 1752 = 16*v - 408. Calculate the remainder when 1075 is divided by v.
130
Let v = 20 + 5. Let g(z) = 2*z**3 - 24*z**2 - 19*z - 18. Calculate the remainder when g(13) is divided by v.
23
What is the remainder when (-32)/288 + 17570/18 is divided by 11?
8
Let c be 3/4 - 84/(-16). Let s(f) = 12*f + 4. Let u be s(c). Suppose -z - 3*b + 2 = 0, -u = z - 5*z + 5*b. Calculate the remainder when 39 is divided by z.
11
Let d = 14 + -11. Let u be (-1 + 0 + d)*2. What is the remainder when 62 is divided by -51*u/(-6) - 2?
30
Let s(a) = -2*a**3 - 13*a**2 + 15*a + 18. What is the remainder when s(-8) is divided by 72?
18
Calculate the remainder when 4*128/(-40)*-5 is divided by 17.
13
What is the remainder when 102 is divided by (1100/70)/5*(-14)/(-4)?
3
Calculate the remainder when (3*(-7)/63)/((-3)/1530) is divided by 58.
54
Suppose 1035 = 30*g + 15*g. Calculate the remainder when 27 is divided by g.
4
Let l(h) = 2*h. Let y be l(7). Let b(u) = -2 - 2 - y*u + 3*u. What is the remainder when b(-3) is divided by 8?
5
Suppose 3*t - 4*d - 3 - 8 = 0, t + 2*d = 7. Let p = 62 - 39. Calculate the remainder when p is divided by t.
3
Let o be (-6)/2 + (-9)/(-3). Let n be 0 + 2 + -2 + o. Suppose v + 167 = 4*z, 2*z = -n*z + v + 83. Calculate the remainder when z is divided by 22.
20
Let r be 2/(-6) + 686/(-21). Let v(p) = 4*p**2 - 13*p + 2. Let f be v(6). Let i = r + f. Calculate the remainder when i is divided by 20.
15
Suppose 5 = -2*u + 3*u. Let j = 9 - u. What is the remainder when (1 + 23)/(j - 2) is divided by 5?
2
Suppose 0 = 2*c + 4*c - 42. What is the remainder when (-5 - (-58)/14)*(-12 - 2) is divided by c?
5
Let k = 210 - 174. What is the remainder when 754 is divided by k?
34
Let p be 7/(-14)*4*-2. Calculate the remainder when 56 is divided by (-3)/(6/p)*-10.
16
Let o(m) = -1. Let t(d) = -2*d + 17. Let p(v) = -6*o(v) - t(v). What is the remainder when 53 is divided by p(10)?
8
Let k be (-2)/5 + 168/20. Let x be ((-4)/(-7))/(4/14) - 0. Let c = x + k. What is the remainder when c is divided by 6?
4
Let g = -80 + 95. Calculate the remainder when 10 is divided by 6 - 1/(5/(g/3)).
0
Calculate the remainder when 206 is divided by (-3)/(-12) - (54/8)/(-1).
3
Let x = -2065 + 2075. What is the remainder when 56 is divided by x?
6
Let q = -97 - -115. Calculate the remainder when 105 is divided by q.
15
Suppose 20 - 4 = -4*q. Calculate the remainder when 59 is divided by (-66)/q - (-3)/(-2).
14
Let y = 626 - 607. Calculate the remainder when 53 is divided by y.
15
Suppose 8*u + 297 = 19*u. Calculate the remainder when 38 is divided by u.
11
Let a = -239 + 409. Calculate the remainder when a is divided by 15.
5
Let n = -35 + 89. Let b(g) = 14 + 19 + 5*g - 5*g - g. What is the remainder when n is divided by b(19)?
12
Let v(d) = 2*d**2 + 7*d - 1. Suppose 5*m + 6*x - 2*x = 138, -2*m + 46 = -3*x. What is the remainder when m is divided by v(-5)?
12
Suppose -2*i = 17*f - 13*f - 62, 0 = 4*f - 5*i - 69. Calculate the remainder when f is divided by 4.
0
Let n be (-3)/2*(-3)/((-45)/(-40)). Suppose -3*r - 2*l