 remainder when 15134/644*(12 - (0 - 0)) - -7 is divided by 285?
4
Let c(r) = r**2 + 33*r + 37. Let g be c(-32). Suppose 178 = 3*b - 5*d, -84 = g*b - d - 344. Calculate the remainder when b is divided by 13.
12
Suppose 3*b - 6 = -6*l + 117, 54 = 3*l + 4*b. What is the remainder when 81 is divided by l?
15
Let z be 3/(((-1)/48)/((-164)/9)). Suppose -3*l + 19*l = z. Let x = 63 + -30. Calculate the remainder when l is divided by x.
32
Suppose -23*o + 20*o - 2832 = 0. Let b = -890 - o. What is the remainder when 212 is divided by b?
50
Let c(l) = 3*l**3 - 2*l**2 + 4*l - 1. Suppose 18 - 6 = 6*p. What is the remainder when c(p) is divided by (-11 - -14) + (-5)/(-1)?
7
Suppose 3*j - 2044 + 2014 = 0. What is the remainder when 86 is divided by j?
6
What is the remainder when 890/2*365/292*(-8)/(-10) is divided by 85?
20
Let v(r) = 58*r**2 - 287*r - 163. Calculate the remainder when v(6) is divided by 69.
65
Let q(t) = -136*t**2 - 3*t - 6*t - t + 0*t + 139*t**2 - 114. What is the remainder when q(-7) is divided by 27?
22
Let l = -45 - -73. Suppose -9*w - 36 + 2421 = 0. Suppose w = -3*g + 8*g + 2*r, r + 115 = 2*g. What is the remainder when g is divided by l?
27
Let p(x) = 16*x + 103. Let r(w) = -7*w. Let j(d) = p(d) - 2*r(d). What is the remainder when 764 is divided by j(-3)?
10
Suppose 10*k - 13*k + 8*i = -3749, 3*k = -5*i + 3736. Calculate the remainder when k is divided by 4.
3
Let j(q) = -3*q - 4. Let w be j(-6). Suppose -2*z + w*z = 72. Calculate the remainder when 27 is divided by 135/z*(-4)/(-6).
12
Suppose -5*j + 4*m + 247 = 76, 5*j + 2*m - 147 = 0. Calculate the remainder when 269 is divided by j.
21
Suppose 544*f = 1080*f - 566*f + 403320. Calculate the remainder when f is divided by 83.
81
Suppose -10 = -w + d + 16, 0 = -3*d + 15. Calculate the remainder when w is divided by 24.
7
Let h = 609 + -600. Suppose 242 + 577 = h*y. Calculate the remainder when y is divided by 64/2 - (-4 + 4).
27
Let a = -163 + 169. Suppose a*k - 10*k + 7 = -5*j, 2*j + 1 = k. Calculate the remainder when 15 is divided by k.
0
Let u(y) = 5*y**2 + 5*y - 3. Let p be -49 - -50 - (1084 + 1). Let s = 1104 + p. What is the remainder when u(4) is divided by s?
17
Let l = 630 - -321. Calculate the remainder when l is divided by 23.
8
Let k = -15231 + 15263. What is the remainder when ((-8)/(-6))/((-3)/(-108)) is divided by k?
16
Let v(h) = 66*h + 1945. What is the remainder when v(-27) is divided by 15?
13
What is the remainder when 495 is divided by (-120)/(-20) + 230/(-35) + 9592/28?
153
Let y = 1554 + -759. Suppose -7*i - y = -22*i. Calculate the remainder when 107 is divided by i.
1
Let a(i) = i**2 + 9*i - 23. Let x(b) = -10*b + 24. Let c(g) = 2*a(g) + 3*x(g). What is the remainder when 239 is divided by c(7)?
39
Suppose -722 = 73*i + 1614. Suppose 0 = 5*k - 296 - 109. Let m = i + k. Calculate the remainder when 195 is divided by m.
48
Let g(m) = -4*m + 417. What is the remainder when 1358 is divided by g(102)?
8
Suppose -993 + 3233 = 448*r. Calculate the remainder when (1 - 35)*117/(-26) is divided by r.
3
Let x(r) = 10*r**2 + 5*r - 1. Let d(i) = -i**2 - 26*i - 34. What is the remainder when x(-4) is divided by d(-23)?
34
Let b(w) be the third derivative of w**5/60 + 13*w**4/12 + 175*w**3/6 + 75*w**2. What is the remainder when b(-24) is divided by 13?
10
Let o(a) = 3*a + 8 + 15 - 7*a**2 + 3*a**3 + 0*a - 4*a**3. Let f be o(-8). Let t = 88 - f. Calculate the remainder when t is divided by 10.
5
Let q = 3625 + -3611. What is the remainder when 229 is divided by q?
5
Suppose -3*s = -3*b - 378, 0 = -2*s - 5*b + 102 + 129. Suppose -s = -3*n + 210. Let a = 16 + n. What is the remainder when a is divided by 33?
28
Suppose -143*f - 247 = -176*f + 50. Let w be ((-10)/(-4))/(1/2). Suppose 2*g = w*g - 63. Calculate the remainder when g is divided by f.
3
Suppose 0 = -2*u + 5*u - 54. Suppose 0 = u*d - 331 + 43. What is the remainder when 24 is divided by d?
8
Let a = 291 - 195. Let z be 9/(-15) - (a/15)/(-4). Calculate the remainder when 15 is divided by z*3/(-3) - (-3 + -1).
0
Suppose -5*a + 5 = -75. Let i(y) = 29*y - 1. Let h be i(9). Suppose 4*z + 4*c - h = 0, -5*c + 77 = -z + 2*z. Calculate the remainder when z is divided by a.
14
Let j = 1851 + -1834. What is the remainder when (4/(-2))/((-22)/1287) is divided by j?
15
Suppose 8*v - 22 = 2. Suppose -5*f + v = -7. Calculate the remainder when 11 is divided by 2 + (f/1 - 1).
2
Let d(w) = -w**3 - 6*w**2 + w + 12. Let v be d(-5). Let l = v + 57. Suppose -2*y + 4 = 0, 5*y - 4 = -k + l. Calculate the remainder when k is divided by 7.
5
Calculate the remainder when 389 is divided by (2/(-4))/(7*(-12)/4200).
14
Let f be 158/3 - (-384)/288. Let d = 73 - f. Calculate the remainder when 33 is divided by d.
14
Suppose -7*w = -2*w - 75. Calculate the remainder when (1 + 5/(-10))*146 is divided by w.
13
Suppose -3*d + 99 = -0*d. Let p be 1965/21 + 4/(-7). Suppose -6*t + 291 = -p. Calculate the remainder when t is divided by d.
31
Let u(b) = 7*b**3 + 10*b**2 + 65*b - 44. Calculate the remainder when u(12) is divided by 83.
79
Let x(k) = 0*k**2 - 138 + k**2 + 17*k + 122. Let s be x(-20). Let w = s - 22. What is the remainder when 43 is divided by w?
21
Let w = 13494 - 13454. Calculate the remainder when 1116 is divided by w.
36
Suppose u - 21 = -2*l, -10 = 2*u + 5*l - 50. Let w = -22 + u. Suppose 0 = -c - w*h + 47 + 33, 105 = 2*c - 5*h. What is the remainder when c is divided by 22?
21
Suppose 44*q - 18375 = 42037. What is the remainder when q is divided by 9?
5
Suppose 5*f - 1161 = -4*g, g - 89 = -2*f + 196. Calculate the remainder when g is divided by 111.
77
Calculate the remainder when 33/(-88) + -74*(-110)/32 is divided by 145.
109
Let v be (-255)/(-153)*(-24)/(-10). Let y be 16/(-6)*165/(-2). Suppose -v*j = j - y. Calculate the remainder when j is divided by 15.
14
Suppose 0 = 2*d - 4*u - 14, -5*d + 5*u + 5 = 10*u. What is the remainder when 3667/133 - d/(-7) is divided by 18?
10
Let n = 174 + -122. Let j(o) = o**3 - 35*o**2 + 4*o + 1058. What is the remainder when n is divided by j(34)?
14
Let v(n) = -18*n - 95. What is the remainder when 4029 is divided by v(-6)?
12
Suppose 4*n - 266 = -15*n. Suppose -5*p - 5*a = -1275, -4*p = -5*a + 6*a - 1005. What is the remainder when p is divided by n?
12
Let z(w) = -w**2 - 25*w - 61. Let q be z(-22). Suppose h + 2*d - 10 - 81 = 0, -q*h + 5*d + 380 = 0. What is the remainder when h is divided by 43?
38
Suppose 132*j - 136*j + 768 = 4*f, -4*f + 380 = 2*j. Calculate the remainder when j is divided by 98.
96
Let v = -1465 + 1588. Calculate the remainder when v is divided by -2*(135/(-10) + -2).
30
Suppose -57*i + 16008 = -28*i + 17*i. Calculate the remainder when 1391 is divided by i.
347
Let z(s) = -7*s**3 + 98*s**2 + 17*s + 31. Calculate the remainder when 2436 is divided by z(14).
15
Let z = -9784 + 9812. Calculate the remainder when 229 is divided by z.
5
Let f = 285 + -283. Suppose -p + 51 = -f*w, -p = -5*w - 11 - 43. Calculate the remainder when p is divided by 15.
4
Suppose -2*d + 124*x + 58 = 121*x, -5*x - 54 = -2*d. What is the remainder when 984 is divided by d?
24
Suppose -2*u = -3*u + 4. Suppose 10 = 3*k - u*x, -5*k + x = 6*x - 75. Suppose 174*n = 157*n + 289. What is the remainder when n is divided by k?
7
Suppose -4*v - 420 = 2*s - 44, -467 = 5*v + 4*s. Let t = -36 - v. Let y = 95 - 63. Calculate the remainder when t is divided by y.
27
Let r(u) = -2*u - 2. Let g(a) = 230*a**3 - 4*a**2 - a + 7. What is the remainder when g(1) is divided by r(-10)?
16
Let d(u) = 2*u**3 + 26*u**2 - 57*u + 9. What is the remainder when 416 is divided by d(2)?
11
Calculate the remainder when 47478 is divided by -13 + (-16)/(-40)*15 + 140.
130
Suppose -4*x + 800 = 3*f - 1283, 0 = 2*f + 14. Calculate the remainder when x is divided by 188.
150
Let o be 2 + -4 - (-7)/((-7)/6). Let x be ((-68)/o*1)/((-1)/(-8)). Suppose 5*n = -3*s + 107, -n + x = 2*s + 3*n. What is the remainder when 129 is divided by s?
41
Suppose 2*x + 3 = -3*u - 128, 5*x - 3*u = -317. Suppose 4 - 32 = -4*t. Calculate the remainder when t is divided by (2/8)/(-8*1/x).
1
Let b be (8 - (-14)/(-14))/(1/7). Suppose x + b = 2*l, 6 = -2*x + 4. Calculate the remainder when l is divided by 7.
3
Let n(r) = 2*r**2 + 3*r + 2. Let c be n(-2). Suppo