culate the remainder when x(-12) is divided by 40.
34
Suppose b = -w + 544, -6563 = -12*b - 15*w + 10*w. What is the remainder when b is divided by 50?
49
Let b = 1416 - 982. Let g = b - 431. Let s = -9 + 15. Calculate the remainder when s is divided by g.
0
Let i = 111 - 194. Let a = 118 + i. What is the remainder when a is divided by (-1008)/96*(-4)/7 - 33/(-11)?
8
Let d = 15 + -12. Suppose d*p + 282 = -0*p. Let x = -83 - p. What is the remainder when 47 is divided by x?
3
Suppose -13*u = -4022 - 1564 - 1330. Calculate the remainder when u is divided by 67.
63
Let r(g) = 133*g**3 - 5*g**2 + 8*g + 1. Suppose 0 = -9*k + 7*k + 42. What is the remainder when r(1) is divided by k?
11
Let v(k) = k**3 + 6*k**2 + 3*k + 3. Let w be v(-4). Suppose -5*a + w = -17. Suppose 0 = a*c - 337 + 33. What is the remainder when 73 is divided by c?
35
Let j be (-87)/9*(-12)/(-4). Suppose 73 + 43 = 2*m. Let t = j + m. What is the remainder when t is divided by 16?
13
Let w = -7677 + 7862. Calculate the remainder when w is divided by 77.
31
Suppose -13*a - 1657 + 20449 = -a. Calculate the remainder when a is divided by 515.
21
Suppose 45*r - 154720 = -90*r + 5795. Calculate the remainder when r is divided by 104.
45
Calculate the remainder when 23/(1610/(-13944))*(-75)/10 is divided by 256.
214
Let w = 9 + 50. Suppose 0 = 38*n - 42*n. Suppose 4*o - 84 + 0 = n. What is the remainder when w is divided by o?
17
Suppose 8*s - 198 = -54. Suppose -4 = -2*t + 2. Suppose 0 = t*p - 51 + 21. Calculate the remainder when s is divided by p.
8
Suppose 2*p - 186 = -2*t - 2*t, -134 = -3*t + 4*p. Suppose 41*v - t*v = -135. What is the remainder when 79 is divided by v?
25
Suppose 2*c + 43*c - 4343 = -56*c. Calculate the remainder when 226 is divided by c.
11
Suppose -14 = -3*l + 4*f - 0, 4*l - 6 = -f. Suppose y - b = 19, -l*y = -0*b - b - 38. What is the remainder when 28 is divided by y?
9
Let w be ((-3)/(-6))/(4/16). Let u be (3/(-3) - w)/((-3)/35). Suppose 0 = -59*a + 58*a + u. What is the remainder when a is divided by 9?
8
Suppose 2888 = 4*c - 3*i + i, 0 = 2*c + 4*i - 1424. Let q be (c - 9)/(1*(-3)/(-2)). Suppose -13*x = -7*x - q. What is the remainder when x is divided by 40?
39
Let m(b) = 5*b + 21. Let k be 2/3*144/(-8). Let o be m(k). Let g = 65 + o. What is the remainder when g is divided by 7?
5
Suppose 8*g + 72 = 10*g - 20. What is the remainder when 139 is divided by g?
1
Let d be -1 + ((-33)/15 - -3)*670. Suppose d = 5*a - 40. Suppose l = r - a, -8*l + 224 = 2*r - 4*l. Calculate the remainder when r is divided by 23.
22
Suppose 42*r - 136 = 326. Let a(y) be the third derivative of -y**4/24 + 3*y**3 - y**2. What is the remainder when a(r) is divided by 7?
0
Let v = 38 + -12. Let b = 29 - v. Suppose 37*j - 270 = -8*j. Calculate the remainder when j is divided by b.
0
Let v(y) = y**2 + y + 1. Let i(t) = 2*t**2 - 23*t + 4. Let a(u) = i(u) - 4*v(u). What is the remainder when 71 is divided by a(-12)?
35
Suppose -34*f = 66*f - 66400. What is the remainder when f is divided by 17?
1
Let r = 193 + -131. Calculate the remainder when r is divided by 35/10*(-192)/(-28).
14
Let y be ((-4)/10)/(4*(-3)/(-120)). Let z(i) = 12*i + 87. What is the remainder when 70 is divided by z(y)?
31
Suppose 5*h = -4*y + 1086, 6*y - 8*y = -2*h + 438. Calculate the remainder when h is divided by 46.
34
Suppose -5*c + 17 = 4*z, 0 = 5*c - 0*c + 15. Let y = 62 - 58. Suppose -y*x + 49 + 11 = 0. What is the remainder when x is divided by z?
7
What is the remainder when 3/((-27)/(-6))*(-9 - (-8805)/10) is divided by 15?
11
Calculate the remainder when 39*(-23)/(-2)*(5005/105 - 45) is divided by 147.
20
Let g be (2/(-4))/((-57)/18012). Let u = -103 + g. What is the remainder when 439 is divided by u?
54
Let r(c) = 2*c**2 - 4*c - 111. Let j(f) = 29*f - 442. Let k be j(15). What is the remainder when 83 is divided by r(k)?
8
Suppose -4*m = 12*i - 9*i - 451, -i = 27*m - 176. What is the remainder when i is divided by 19?
16
Let r(t) = 5546*t**2 + 2*t - 14. What is the remainder when r(-1) is divided by 30?
10
Let r be 0 + (10/(-1))/(-1). Suppose 5*i = -r*i + 1410. Calculate the remainder when i is divided by 12.
10
Calculate the remainder when (-2 + 7 - -1323) + (-6 - (6 - 7)) is divided by 1321.
2
Let o = 225 - -216. Suppose 3*d - 150 = o. Let x = d + -91. Calculate the remainder when x is divided by 18.
16
Let b(a) = -607*a + 2441. What is the remainder when 5679 is divided by b(4)?
11
Suppose 7 = 5*h - 3. Suppose -h*g - 76 = -3*g. Suppose 4*t = g + 24. What is the remainder when 73 is divided by t?
23
Let x(g) = 2*g**2 + 30*g + 411. Calculate the remainder when x(-17) is divided by 96.
95
Let n = 560 - 297. Let d = -201 + n. Calculate the remainder when d is divided by 32.
30
Suppose -3*k - 2*o + 6*o = -40, -k + 5*o + 17 = 0. Suppose 0 = -3*c + 4*c - 262. What is the remainder when c is divided by k?
10
Let p(z) = 231*z - 2988. Let l(x) = -114*x + 5. What is the remainder when l(-6) is divided by p(13)?
14
Let y = 1143 + -1079. Suppose -4*d - 6*n + 2*n + 24 = 0, 0 = -4*d + 2*n + 12. What is the remainder when y is divided by 28/7*13/d?
12
Let n(f) = f**2 - f - 22. Let g be -5 - 6 - -2*2. Let q(l) = 18*l - 7. Calculate the remainder when q(6) is divided by n(g).
33
Suppose -3*j + 258 = -4*l, 381 - 33 = 4*j - 4*l. Let b = 17 + 1. Calculate the remainder when ((-590)/60)/((-5)/j) is divided by b.
15
Suppose 0 = c + 4, b - 11*c + 6*c - 57 = 0. Suppose -b*z = -21*z - 176. Calculate the remainder when 26 is divided by z.
4
Let f(q) = 90*q - 1791. Calculate the remainder when f(25) is divided by 26.
17
Let o = -231 + 341. Let n(y) = -y**3 + 3*y - 4. Let r be n(2). Let f = 20 + r. What is the remainder when o is divided by f?
12
Suppose -319*n + 151363 + 95501 = -41*n. What is the remainder when n is divided by 179?
172
Suppose 2*n = 4*w - 1206, w - 319 = 2*n - 5*n. Let c = 441 - w. What is the remainder when c is divided by 70?
67
Let k(w) = 4*w**2 - 6*w + 99. Let s(d) = 29*d - 60. Calculate the remainder when k(-17) is divided by s(5).
82
Let g = 9114 - 8748. Calculate the remainder when g is divided by 99.
69
Suppose -4*y - 14 = 3*j - 187, 138 = 2*j - 3*y. Calculate the remainder when 565 is divided by j.
61
Suppose 94 = -5*q - 131. Let b = q - -208. What is the remainder when b is divided by 44?
31
Let o = -89 + 92. Calculate the remainder when (1/o)/(3/6)*87 is divided by 6.
4
Suppose 63 = -22*h + 29*h. Suppose 2*f + 5*j = h, 4*j - j = 5*f - 38. What is the remainder when 66 is divided by 3*f - (-7 - (5 - 10))?
20
Let u = -1919 + 2545. What is the remainder when u is divided by 617?
9
Let m = 9105 + -9093. What is the remainder when 1438 is divided by m?
10
Let o be 66/4 - (-2)/(-4). Let c(p) = -p**3 + 17*p**2 - 2*p - 30. Suppose 10 = 3*h - 107. What is the remainder when c(o) is divided by h?
38
Let q(h) be the third derivative of 7*h**4/24 + 29*h**3/6 - 11*h**2 - 2. Let w(b) = -7*b - 5. What is the remainder when q(17) is divided by w(-5)?
28
Suppose -2*a - 48 = 4*c - 254, 4*c + 103 = a. Suppose 0 = -4*n + 4*w + 50 + 42, 5*n = w + a. Calculate the remainder when 236 is divided by n.
16
Let w(a) = 2*a**2 + 2*a + 1. Suppose 5*c - 357 + 57 = 5*h, -c + 2*h = -67. What is the remainder when c is divided by w(-4)?
3
Let m(l) = 40*l + 1243. Calculate the remainder when m(-21) is divided by 45.
43
Suppose 4*x - 32 = 8. Let z = 301 + x. Suppose 3*w - 189 = -0*b - 2*b, 5*w = -2*b + z. Calculate the remainder when w is divided by 16.
13
Suppose -b = -5*b + 5*a + 28, 2*b + 8 = -3*a. Suppose b*o - 8 = -4. Suppose 4*p + l = 464, 7 + 1 = o*l. Calculate the remainder when p is divided by 29.
28
Suppose -1755 = 12*q - 27*q. Suppose 56*x = 55*x + q. Calculate the remainder when x is divided by 29.
1
Suppose 69*h = 70*h, 5*g + 4*h = 1215. Calculate the remainder when g is divided by 50.
43
Let n(m) = -25*m + 1. Let c be n(1). Let d = c + 51. Suppose -3*x + 30 = 2 - 2. Calculate the remainder when d is divided by x.
7
Let i(d) = 3*d**2 + 125*d - 52. Let l be i(-42). Calculate the remainder when 83 is divided by (-36)/l*(-8)/(72/(-15)).
5
Let w(g) = g**3 + 8*g**2 - 6. Suppose -5*a + 4*b = 39, -a - 4*b = -0*b + 3. What is the remainder when w(a) is divided by (((-11)/(-5))/((-24)/40))/((-13)/39)?
10
Suppose 0 = -19*b + 634