 Let c = 65 + a. Suppose 5*o = c - 18. What is the remainder when 53 is divided by o?
9
Suppose 0 = 631*k - 614*k - 6698. Calculate the remainder when k is divided by 194.
6
Suppose 0 = -49*m + 33*m + 20*m - 300. What is the remainder when 1949 is divided by m?
74
Suppose 27 + 64 = 13*h. Let x = h - 1. Let p(d) = d**2 - 5*d + 4. Calculate the remainder when 39 is divided by p(x).
9
Let q(r) = -5*r**2 + 548*r + 1374. Calculate the remainder when (-1 - 0) + 1 + 55 is divided by q(112).
25
Suppose -10*h - 220 + 2080 = 0. Let z = 262 - h. Calculate the remainder when z is divided by 39.
37
Suppose 0 = 2*i - 2*k + 43 - 1, 0 = -2*i - 5*k - 63. Let r = 9 + 6. Calculate the remainder when 39 - i - (1 - 4/(-1)) is divided by r.
13
Let h(b) be the third derivative of -b**4/8 + 11*b**3/2 - 75*b**2. Suppose 24 = 4*i - 12. Calculate the remainder when 9 is divided by h(i).
3
Suppose 0 = -5*d - 2*x + 42, -16 = d - 3*d - x. Suppose -20 + 60 = d*r. What is the remainder when 21 is divided by r?
1
Suppose -93*n + 16 = -85*n. Suppose -4*v = 5*t - 450, 7*t - 11*t + 386 = -n*v. Calculate the remainder when t is divided by 26.
16
Let v(a) = -a**3 - 34*a**2 + 547*a - 63. What is the remainder when v(-46) is divided by 146?
21
Let a(q) = -68*q - 60. Let c be a(-1). Suppose 0 = c*n - 77 - 75. Calculate the remainder when n is divided by 2.
1
Let w = -878 + 881. What is the remainder when ((-411)/6)/(8/(-48)*w) is divided by 37?
26
Let h = 509 - 371. Calculate the remainder when 438 is divided by h/253 - (-1924)/22.
86
Let r = 72 - 55. Suppose 3*c = r*c - 224. Let u = -114 - -174. Calculate the remainder when u is divided by c.
12
Let q = 430 - 422. Suppose q*u - 173 = 83. What is the remainder when u is divided by 12?
8
Let w(v) = -88*v - 309. Let q = -4 - -2. Calculate the remainder when w(-4) is divided by (q + 1)/1*-23.
20
Suppose 170*i + 973 - 4837 - 216 = 0. Calculate the remainder when 260 is divided by i.
20
Suppose 21 = 7*q - 0*q. Suppose 0 = q*w + 5*l - 311, 3*w - l = 2*l + 303. Calculate the remainder when 8 is divided by w/24 + (-3)/12.
0
Let p(z) be the first derivative of 12 - 5*z + 17*z - 10*z + 4*z**2. Calculate the remainder when p(7) is divided by 20.
18
Let x(z) = -81*z - 82. Let l be (-1 + (-1)/1)*144/96. Calculate the remainder when x(l) is divided by 82.
79
Calculate the remainder when 556 is divided by (-3585)/(-18) + 1/(-6) + -5.
168
Let i(f) be the third derivative of -19*f**4/24 - 20*f**3 + 2*f**2 - 29. Calculate the remainder when i(-7) is divided by 2.
1
Let b(o) = -o + 1. Let q be b(1). Suppose -5*r + 2*r - 5*x + 111 = 0, q = -5*r + 4*x + 185. Let d = 336 - 323. What is the remainder when r is divided by d?
11
Let b be (-75)/(-6)*52/5. Suppose 0 = 3*t - j - 78, j + j = 5*t - b. Calculate the remainder when t is divided by 16/24 - 19/(-3).
5
Let k be (-13)/(-2)*(-84)/(-273). Let s be (-1)/((-4)/(-120)*-2). Suppose -k*w - 3*w = -5*j + 95, 0 = 5*w + s. What is the remainder when 59 is divided by j?
11
Suppose -3*l - 322 + 1045 = t, -5*l - 5*t + 1225 = 0. Calculate the remainder when l is divided by 53.
27
Suppose -7*p + 3*m = -8*p + 574, 5*p + 4*m - 2892 = 0. What is the remainder when p is divided by 81?
13
Suppose 684*l + 202*l - 45084 - 23750 = 274. Let g = -51 - -91. What is the remainder when l is divided by g?
38
Let j(m) = -3*m**3 - 3*m**2 - 2*m + 17. Let n be j(3). Let c = n - -159. What is the remainder when c is divided by 5?
2
Let w(x) = 4*x**2 - 41*x - 172. Calculate the remainder when w(-5) is divided by 29.
17
What is the remainder when (-12 - (-817)/76) + 13922/8 is divided by 87?
86
Let z = -78 - -100. Suppose -z*y = -28*y + 132. Calculate the remainder when 36 is divided by y.
14
Calculate the remainder when 7 + -7 - (-1349 + -7 + 2) is divided by 151.
146
Suppose 5*s - 41 + 16 = 0. Let y(p) = -2*p**2 + 33*p - 37. Let b be y(15). Suppose -14*j + 10*j = -b. Calculate the remainder when s is divided by j.
1
Let u(y) = 4*y**2 - 57*y + 19. Let q be u(17). Let d = 259 - q. Calculate the remainder when 103 is divided by d.
50
Let g = 58 + -2. What is the remainder when 321 is divided by (-2)/(-6) - g/(-3)?
17
Let a = -21320 + 21336. Calculate the remainder when 711 is divided by a.
7
Suppose -28*z - 24 + 184 = -64. Calculate the remainder when 271 is divided by z.
7
Suppose -2*r - 7 = 15. Let n(c) = -c**2 - 8*c + 42. Calculate the remainder when 205 is divided by n(r).
7
Let j(v) = 3 - 4*v**2 - 2*v + 3*v**2 - 2*v. Calculate the remainder when 10 is divided by j(-1).
4
Calculate the remainder when 14902 is divided by (7 - 17) + (-1476)/(-18).
70
Suppose -5*r - 5*r + 850 = 0. Let l = 357 - 205. Suppose -5*b - h = -0*h - l, 5*h = 5*b - 140. What is the remainder when r is divided by b?
25
Let g = 8419 - 8070. What is the remainder when g is divided by 40?
29
Suppose d + 11*m = 125, d = 3*m + 347 - 278. Let l(h) = -22*h + 5. What is the remainder when l(-7) is divided by d?
78
Let x = -99 - -989. What is the remainder when x is divided by 133?
92
Suppose 0*i + 2*i - 4 = 0. What is the remainder when 120 is divided by (5 + 38)*(i + -1)?
34
Suppose 105*l - 432600 = 75*l. Calculate the remainder when l is divided by 69.
68
Let k(n) = 10*n - 1. Let o(x) = x**3 - 6*x**2 - 18*x + 6. What is the remainder when o(9) is divided by k(1)?
6
Let a = -36 - -36. Let l be a + (-2 - (-6 - -1)). Suppose -l*m - 4 = -76. What is the remainder when 93 is divided by m?
21
Let d(m) = 17*m**2 - 13*m - 79. Calculate the remainder when d(-8) is divided by 93.
90
Let v(x) = -5*x**2 - 77*x + 11. What is the remainder when 5/(15/474) + 1 is divided by v(-15)?
36
Let v(y) = y**3 - 10*y**2 - 2*y + 26. Let w be v(10). Let k = w - 12. What is the remainder when (1078/(-33))/(2/k) is divided by 25?
23
What is the remainder when 640 is divided by ((-4)/(-1) - 27)*1*-2?
42
Let c = -15 + 17. What is the remainder when (c - 1)*(14 - -139) is divided by 1512/40 - -1 - 2/(-10)?
36
Suppose -48*k + 2306 + 1150 = 0. What is the remainder when k is divided by 3?
0
Calculate the remainder when 373 is divided by -76 + 73 - (3 + -3 + -57).
49
Suppose -50*z + 77*z - 18441 = 0. What is the remainder when z is divided by 12?
11
Let g = -463 - -510. Suppose -44*q + g*q - 576 = 0. Calculate the remainder when q is divided by 46.
8
Let n be -2*((-203)/14 + -4). Suppose -n = -9*i + 44. Calculate the remainder when (1/((-2)/356))/(-2) is divided by i.
8
Suppose 40 = -7*i + 68. Suppose 3*f = -2*f - 40. Calculate the remainder when 2 + 3 - (5 + f) is divided by i.
0
Let i(s) be the first derivative of 13*s**2/2 + 383*s + 71. Calculate the remainder when i(-22) is divided by 34.
29
Let o(p) = 14*p**3 + p**2 - 2*p + 1. Let u be o(1). Let l = u + 16. Let s(m) = -m**3 + 10*m**2 - 4*m + 23. What is the remainder when s(8) is divided by l?
29
Let b be 350/15*(1/5 - -1). Let p be 3/((-12)/74) + (-5)/10. What is the remainder when (1 + -9)*(8645/b)/p is divided by 33?
31
Calculate the remainder when (-6)/(-24) + 46/8 is divided by (-472)/(-177)*((-3)/2)/(-1).
2
Let i = 654 + -652. Suppose 92 = 2*w - i*a, -4*w + 0*a + 5*a = -188. What is the remainder when 419 is divided by w?
41
What is the remainder when 60*12/90 - (2 + 2*-159) is divided by 119?
86
Suppose 3*x - 126 = -3*n, -5*n - 3*x - x + 213 = 0. What is the remainder when (348/(-8))/(2/(-4)) is divided by n?
42
Suppose -2*n - n = -2*z + 1, 0 = -2*z - 2. Calculate the remainder when 28 is divided by n/((-1)/(-57))*72/(-216).
9
Suppose -446*f + 449*f = -x + 51, 6*x = 5*f + 421. What is the remainder when x is divided by (-904)/(-18) + 2/(-9)?
16
Suppose -2*b = -3*q - 441, 124 = b + 2*q - 86. What is the remainder when 519 is divided by b?
87
Let u = 13296 - 4645. What is the remainder when u is divided by 14?
13
Let f = -144 - -134. Calculate the remainder when 75 is divided by (88 + 2)*f/(-30).
15
Suppose -19525 = -92*u - 5725. What is the remainder when u is divided by 33?
18
Suppose 0 = 2*t - 0. Suppose t = -d - 0*d - 10*d. Suppose -p + 102 = n + p, -p = d. What is the remainder when n is divided by 21?
18
Let b = 167 + -48. Suppose 0 = 5*c + 14 - 219. Calculate the remainder when b is divided by c.
37
Let y = 106 - 95. Suppose 0 = 15*d - y*d - 76. What is the remainder when d is divided by 10?
9
Suppose 0 = -2*t - 4*v + 56, -t + 56 = t