.
10
Suppose 0 = -5*v + 2009 - 54. Let i be ((-5)/(-4))/(12/48). Calculate the remainder when i/(-30) - v/(-6) is divided by 23.
19
Suppose 4*u - 600 = -b - 3*b, -3*u - 4*b = -454. Let j(h) = -36*h**3 + 3*h**2 + 33*h + 31. Calculate the remainder when u is divided by j(-1).
35
Suppose -w + 6*w - 5*v = -85, 2*w + v = -49. Let t = 27 + w. Let y = 37 + t. Calculate the remainder when 164 is divided by y.
38
Suppose -20*g = -171 - 509. Suppose 42*d - g*d - 816 = 0. Suppose -5*o + 72 = -33. What is the remainder when d is divided by o?
18
Calculate the remainder when 87 is divided by (-1544)/(-18) + (-368)/(-1656).
1
Let a = 457 + -355. Let o = a + -73. Calculate the remainder when 83 is divided by o.
25
Suppose -31*x = -24*x - 14. Suppose 4 = x*g - 2*b, 0*b + 10 = 4*g - 2*b. Calculate the remainder when 43 is divided by g.
1
Suppose 58611 - 59796 = -15*b. Calculate the remainder when 183 is divided by b.
25
Suppose -163*d + 154*d + 144 = 0. What is the remainder when 412 is divided by d?
12
Suppose -4*h - 5*r + 16 = 0, -h - 4*r + 3*r + 4 = 0. Suppose 0 = -h*n + 94 + 122. Suppose 5*k = 21 + n. What is the remainder when 55 is divided by k?
10
Suppose 73*n - 6728 = 63*n - 106*n. Let i = 64 + -39. Let d = 37 - i. What is the remainder when n is divided by d?
10
Calculate the remainder when 1173 is divided by ((-56)/2)/(2/(-6) - (-238)/(-357)).
25
Suppose -5*d = -5*u + 4*u + 55, -54 = -u + 4*d. Let n = 32 + -21. What is the remainder when u is divided by n?
6
Suppose -9*u - 12 = -48. Suppose -u*w = -13*n + 8*n - 106, 31 = w + n. Calculate the remainder when w is divided by 4.
1
Let z(y) be the first derivative of -y**4/4 - 7*y**3/3 - 9*y**2/2 - 11*y - 110. Calculate the remainder when 90 is divided by z(-6).
6
Let d = 228 - 146. Suppose -3*f + 247 = d. What is the remainder when f is divided by 14?
13
Let z(q) = 218*q**2 + 14*q - 26. Let s be z(2). Let t = s - 572. Calculate the remainder when t is divided by 78.
68
Suppose -2*h + h = -5*s - 3478, 4*h - 6*s - 13814 = 0. What is the remainder when h is divided by 84?
83
Suppose 86 = -13*o + 151. Suppose 0 = 3*b - 5*h - 387, -o*h = -b + 93 + 36. What is the remainder when b is divided by 38?
15
Let g be 4/((24/239)/6). Let j = -220 + g. Calculate the remainder when 73 is divided by j.
16
Suppose 2*v + 17 - 61 = 0. What is the remainder when (642/(-12))/(-1 - (-1)/2) is divided by v?
19
Suppose -440 = -4*x + 2*p, 2*x - 284 = -p - 56. Suppose 4*z - 128 = x. Suppose 0 = 7*g - 6*g - 21. Calculate the remainder when z is divided by g.
18
Let c(o) = -47*o + 784. Calculate the remainder when 915 is divided by c(14).
33
Suppose -5*f + 2*z + 709 = -2*f, -3*f + 5*z = -724. What is the remainder when f is divided by 20?
13
Suppose -3*p = -12*p + 63. Suppose -11 = -p*b + 10. Suppose b*t + 62 + 25 = 3*k, -5*t + 71 = 3*k. What is the remainder when k is divided by 15?
12
Suppose 0 = 2*r - 33*q - 655, -6*r + 4*r + 3*q = -865. What is the remainder when r is divided by 398?
45
Let p = -2997 + 3075. Calculate the remainder when 304 is divided by p.
70
Suppose -5 = c, 3*c + 44 = b - c. Suppose s - 15 = 5*j, -4*j - 2*s + 12 = -5*j. Let r(i) = -23*i - 33. What is the remainder when b is divided by r(j)?
11
Let g(o) be the first derivative of -3*o**4/4 - 2*o**3/3 + o**2/2 - 11. Let p be g(3). Let f = p - -110. What is the remainder when 51 is divided by f?
9
Let l be 2/(-5) + (-6)/10. Suppose 4*o = -4*m + 104, 3*m - 212*o - 88 = -214*o. What is the remainder when m is divided by l/(1 - (-28)/(-26))?
10
Suppose 4*f - 103 = -3*b, b + 32 = f + 57. Let c(o) = o**3 + 13*o**2 + 26*o + 14. Calculate the remainder when c(-10) is divided by b.
25
Suppose 227 = 5*p - b, 5*p - 3*b = -7*b + 217. Suppose 5*r = -4*z + 8, 0*z = -z + r + 2. Suppose -25 = -z*f - 1. Calculate the remainder when p is divided by f.
9
What is the remainder when (300/(-48) - -7)/((-1)/(-9668)) is divided by 6?
3
Let c be (-5 - -10 - 0)/((-2)/4). What is the remainder when (252/30)/(c/(-25)) is divided by 7?
0
Let k(o) = -o - 2. Let q be k(-5). Suppose 189 = q*f - 3*x, 4*f - 315 = -f + x. Let w = f + 10. What is the remainder when w is divided by 25?
23
Let x(z) = -7*z + 28. Let t be x(6). Let a = t + 23. What is the remainder when 45 is divided by a?
0
Let f(y) = y**3 + 7*y**2 - 6*y + 7. Let t(a) = a**3 - 34*a**2 + 47*a - 444. Calculate the remainder when f(-5) is divided by t(33).
15
Let w(j) = j**2 - 117. Let k be w(11). Suppose -k*l + h + 505 = 0, -4*l = 33*h - 30*h - 501. What is the remainder when l is divided by 33?
27
Suppose -6*h + 3*h = -3. Suppose 2*x + 2*m + h = 7, 2*m = 2*x - 2. Suppose o = y - 24, 0 = 17*o - 16*o - x. Calculate the remainder when 204 is divided by y.
22
Let f = 56610 + -56564. Let m(i) = 227*i**2 + i. Calculate the remainder when m(1) is divided by f.
44
Let p = 137 - -161. Calculate the remainder when p is divided by 8 + (-1 - -1)/((-38)/19) + 7.
13
Let a = -28 + 45. Suppose -39 = -42*v + 41*v - 2*b, 5*v = -b + 69. What is the remainder when a is divided by v?
6
Let i(g) = -2*g**2 + 52*g - 149. Calculate the remainder when 423 is divided by i(21).
57
Calculate the remainder when 103 is divided by (-1290)/(-42) - 36/21.
16
Suppose -58*f - 5*y = -59*f + 1018, -5*f + 5003 = 4*y. Calculate the remainder when 3011 is divided by f.
2
Let j(h) = -66 - 60 + 6 + 81*h - 62*h - 9. What is the remainder when 484 is divided by j(10)?
57
Calculate the remainder when 21/70 - (-11689)/20 - 1/(-4) is divided by 46.
33
Suppose -4432 = 30*t - 12262. Let d = -22 + 44. Calculate the remainder when t is divided by d.
19
Let u(n) be the third derivative of n**4/3 + 89*n**3/3 - 4*n**2 + 22*n. What is the remainder when u(-19) is divided by 13?
0
Let o = 13964 - 13953. Suppose b - 1084 = -4*b + 3*d, -d = -3*b + 652. Calculate the remainder when b is divided by o.
9
Let b(k) = -5*k**3 + 181*k**2 - 20*k - 44. Calculate the remainder when b(36) is divided by 65.
12
Suppose -415 = 6*t + 461. Let w = t + 168. What is the remainder when 38 is divided by w?
16
Let v(g) = g**3 - 33*g**2 - 191*g + 69. Calculate the remainder when (-519)/(-6) + (-2)/(-4) is divided by v(38).
25
Let f(c) = c**3 - 9*c**2 + 16*c + 14. Suppose -3*w - l = -27, 21*l - 22*l = 2*w - 19. Calculate the remainder when f(w) is divided by 32.
14
Let b(l) = -2*l**2 + 18*l - 12. Let v be b(8). Suppose -5*t - 1 = v*j - 0, 4*j + 25 = 3*t. Calculate the remainder when 8 is divided by t.
2
Suppose 0 = 6*b + 11*b - 4593 + 683. What is the remainder when b is divided by 56?
6
What is the remainder when (2/(-8)*-1)/((-46)/(-3496)) is divided by (-44)/(-8) + 2/(-4)?
4
Suppose 0 = 5*a - 382 - 23. Let o(b) = -11*b - 63. Let z be o(0). Let k = z + a. Calculate the remainder when k is divided by 5.
3
Let z be (2/20*-2)/((-5)/25). Let g be z/(((-12)/(-140))/(-3)). Let j = -21 - g. What is the remainder when 39 is divided by j?
11
Suppose -f - 2*a + 44 + 39 = 0, -4*a + 415 = 5*f. What is the remainder when 165 is divided by f?
82
What is the remainder when (-18)/30*(-21 + 19 + (-2 - 1091)) is divided by 45?
27
Suppose 3*u - 2*v - 83 = 0, 0*u + 97 = 3*u + 5*v. Calculate the remainder when 1/(7/(-28)) + 53 is divided by u.
20
Let r = -39 + 51. Let u(w) = -3*w - r*w - 5 + 10. Calculate the remainder when 68 is divided by u(-2).
33
Let r = -1083 + 683. Let u = r + 437. What is the remainder when 295 is divided by u?
36
Suppose -5*b + 90 = -y + 6*y, 2*b = -3*y + 49. Let q be 119/(-34)*((-10)/(-14) + -1). Calculate the remainder when 0*(q + 12/(-9)) + y is divided by 3.
1
Let c(n) = -n**3 + 4*n**2 - 4*n. Let t be c(3). Let w = t - -7. Let o = 276 + -253. What is the remainder when o is divided by w?
3
Let p be (528/(-9))/16 + 4/(-3). Calculate the remainder when -287*(-2 - (p + 4)) is divided by 29.
26
Suppose -1425 = -3*p - 2*g - 112, -5*g = -p + 432. Calculate the remainder when p is divided by 5.
2
Let b = -10767 - -14347. What is the remainder when b is divided by 18?
16
Suppose 5*f - 24*a + 20*a - 74 = 0, 0 = 3*f + a - 58. What is the remainder when 484 is divided by f?
16
Let n(k) = 94*k + 227. Calculate the remainder when 1062 is divided by n(-1).
131
Suppose -39*j + 26*j = -73567. Calculate the remainder when j is divided by 5.
4
Let f = 4734 - 2993. Calculate the remainder when f is divided by 217.
5
Su