e the remainder when 553 is divided by r.
67
Let y be (-42)/4*900/(-35). Suppose -2*j + y = 3*j - 5*t, 5*j + 3*t - 310 = 0. Let k(v) = -5*v - 14. What is the remainder when j is divided by k(-6)?
11
Let k be (-5)/3*(7 - (-205)/(-25)). Suppose 117 + 108 = 3*d - 4*c, -5*d = k*c - 375. What is the remainder when 220 is divided by d?
70
Suppose 4*p + 26*p = 270. Let k = p - -2. What is the remainder when 108 is divided by k?
9
Let j(v) = 2*v**2 + 3*v + 3. Let t be j(-1). What is the remainder when t/(((-30)/(-100))/((-6)/(-4))) is divided by 6?
4
Suppose x = -u, 3*u = -x + 1 - 5. What is the remainder when 271 is divided by x + -4 + 7 + 54 + -3?
47
Suppose 10720 - 11554 = 149*c - 34359. What is the remainder when 467 is divided by c?
17
Let f be ((-114)/9)/(4/(-24)*1). Suppose 0 = 4*h - 4*u - 128, 0 = 2*h - 2*u + 6*u - f. What is the remainder when 99 is divided by h?
31
Suppose -144588 - 456279 = -102*z + 107319. Calculate the remainder when z is divided by 151.
148
Let x(o) = 12*o**2 - 3*o + 1. Suppose n = 3 - 2, 0 = 5*c + 2*n - 297. Let g = -48 + c. Calculate the remainder when x(2) is divided by g.
10
Let g = 28 + -29. Let q(u) = 208*u**3 - 3*u**2 + 2. Let n be q(g). Let y = -80 - n. Calculate the remainder when y is divided by 11.
8
Suppose 16*r - 23*r + 5691 = 0. Suppose 0 = -5*j + h + r, 4*j = 2*j + 2*h + 330. What is the remainder when j is divided by 43?
33
Suppose -y + 3*y - 14 = 0. What is the remainder when ((-54)/(-57))/((-75)/(-950)) is divided by y?
5
Let p = -55 - -77. Suppose 4*z + 3*o = -4, o - 16 = 3*z - 0*o. Calculate the remainder when ((-4)/z)/(2/172) is divided by p.
20
Suppose 21 + 21 = 6*y. Suppose y*h - 32 = 87. What is the remainder when h is divided by 10?
7
Let j(b) = -2*b**2 - 92*b - 949. What is the remainder when 21475 is divided by j(-28)?
58
Let s(h) = 5*h**3 - 8*h**2 - 5*h + 5. Let c be s(2). Suppose 0*f - 25 = -2*z - f, 0 = -c*f + 15. What is the remainder when 33 is divided by z?
3
Let f(h) = 130 + 9*h + 9 + 106 - 30. Calculate the remainder when f(-16) is divided by 14.
1
Suppose 0 = p - 2*y - 9, y + y = -5*p + 9. Suppose -p*g + 74 = 5*o, -3*o - 28 = -4*g + 32. What is the remainder when 213 is divided by g?
15
Calculate the remainder when 137 is divided by -2*(-492)/18*42/56.
14
Let i = 15 - 18. Suppose f - 6990 = -139*f + 1270. What is the remainder when 0 + i/1 - -234 is divided by f?
54
Let s(k) = -k + 1. Let j(t) = -10*t**3 + t**3 + 4*t**3 - 7*t**2 + 6*t**3 - 9 + 5*t. Let m be j(6). What is the remainder when 45 is divided by s(m)?
13
Let m = 632 + -591. Let t(y) = 128*y**2 + 8*y + 3. What is the remainder when t(2) is divided by m?
39
Let a = -23 - -38. Let c = -21 + a. Calculate the remainder when 4 is divided by (c/10)/((-11)/55).
1
Let w(z) = 72*z**3 + z**2 + 26*z - 27. Suppose -32*k = -3*k - 10382. Calculate the remainder when k is divided by w(1).
70
Let z(l) = l**3 - 48*l**2 - 33*l - 75. Calculate the remainder when z(49) is divided by 99.
16
Let f(y) be the first derivative of y**4/4 - 4*y**3 - 14*y**2 - 4. Let k be f(14). Suppose k = h - 4*h + 39. Calculate the remainder when 37 is divided by h.
11
Suppose -q + 49*r + 790 = 51*r, -4*r = 4*q - 3180. What is the remainder when q is divided by 202?
194
Suppose 2*r + q - 189 = 0, 57*r - 49*r = -5*q + 761. What is the remainder when r is divided by 89?
3
Let z(n) = 2*n**2 - 206*n - 613. What is the remainder when 1906 is divided by z(106)?
20
Suppose -8*p - 191 = -23. Suppose 0 = a - 0*a - 27. Calculate the remainder when 27/p - -1 - 690/(-14) is divided by a.
22
Let o(u) = 2*u - 3*u + 0 + 0*u + 1. Let g be o(-2). Let b(f) = -f + 5. Calculate the remainder when 2 is divided by b(g).
0
Suppose 7*a + 743 = 36. Let g = a + 97. What is the remainder when (2 - 35/(-1)) + (0 - g) is divided by 9?
5
Let t(o) = o**2 - 2*o - 13. Suppose -22 = 3*i - 46. Suppose 0 = 14*z - i*z - 102. What is the remainder when t(10) is divided by z?
16
Suppose -25 = -4*l - 2*n + 73, 0 = -4*n + 12. Calculate the remainder when (-167)/(-5) - 4/10 is divided by (-6240)/(-345) - 2/l.
15
Let f(n) = n**3 + 89*n**2 + 712*n - 551. Let j = -50 + 77. Calculate the remainder when f(-80) is divided by j.
8
Calculate the remainder when (-4)/(-6) + (-39788)/(-348) is divided by 19.
1
Let k(t) = 11*t**2 - 7*t - 7. Let a(o) = 2*o**2 + 10*o - 5070. What is the remainder when k(7) is divided by a(-53)?
15
Let w(h) = -h**3 - 3*h**2 + 7. Suppose -2*d = -t - 72, 3*t - 3*d = d - 214. Let s = t - -66. Calculate the remainder when w(s) is divided by 5.
3
Let n be 6 + 88/(-24) - (-4)/6. Let h(f) be the first derivative of 20*f**3/3 + 2*f**2 - 9*f - 6. What is the remainder when h(n) is divided by 46?
45
Let k = 18 + -4. Suppose 3*l - 157 = -4*o, 3*l - 24 = 4*o - 187. What is the remainder when o is divided by k?
12
Let k(d) = 62*d**2 + d - 20. Let t be k(7). Suppose -5*v + 30*v = t. What is the remainder when v is divided by ((-62)/(-2))/((-4)/(-4))?
28
Let o be ((-64)/10)/((-60)/1950). Suppose 111*w - 103*w = o. What is the remainder when 75 is divided by w?
23
Let o = 53 + -55. Let d be (o*4)/(-4) - 2. Suppose l + 3*c - 87 = -0*c, d = c. What is the remainder when l is divided by 45?
42
Suppose -3*y + 185 = -145. Suppose 25*b - y = 23*b. Calculate the remainder when b is divided by 14.
13
What is the remainder when 343 is divided by (-644)/8*(-25 - (-3300)/140)?
113
Let h(s) = s**2 - 84*s + 1334. Calculate the remainder when 1802 is divided by h(21).
9
Suppose 4*p - 1640 = -4*g, -3*g + 3249 - 1197 = 5*p. Suppose -p = -9*o + 219. Calculate the remainder when o is divided by 37.
33
Suppose 5*k + 16 = 21. Let r be k/2*28/(-6)*-3. Suppose -12*s + r*s = -45. What is the remainder when 179 is divided by s?
8
Calculate the remainder when 4/8 + (168756/24 - (-1 - 4)) is divided by 20.
17
Suppose -4*v + 88 = 2*z, 2*v - 32 = -3*z + 8*z. Suppose h - 6*h = -65. Suppose 0 = -w + 5, -4*n + 2*w = h - 243. Calculate the remainder when n is divided by v.
18
Calculate the remainder when (475 - 0) + -38 + 37 + 3 is divided by 12.
9
Suppose -3*d = -4*k + 1371, 0 = k + 2*d - 230 - 132. Calculate the remainder when k is divided by 6.
0
Calculate the remainder when 5382 is divided by (-22557)/(-1533) + -3*4/(-42).
12
Suppose 5*s - 441 = v, -33*s + 29*s = -4*v - 340. Suppose k + 5*d - s = 9*d, d - 340 = -5*k. Calculate the remainder when k is divided by 19.
12
Suppose -4*q = 4*x - 48 + 12, -4*x + 3*q = -36. Suppose -8*o + x*o - 80 = 0. What is the remainder when o is divided by 27?
26
Let j = 6159 - 5815. What is the remainder when j is divided by 37?
11
Let k(x) = -2*x + 12. Let z be k(5). Let t be (3 + -4 + 135)/z. Let c = t + -62. Calculate the remainder when 7 is divided by c.
2
Let c = -10 - 9. Let h = -23 - c. What is the remainder when 88 is divided by 62*(-2)/h + (0 - 1)?
28
Let s(y) = -y**3 + 12*y**2 + 101*y + 2. Calculate the remainder when s(-6) is divided by 12.
8
Suppose -3*u = -4*u + 3*v + 142, -5*v - 568 = -4*u. Let g(w) = -w**3 - 12*w**2 + 29*w + 420. Calculate the remainder when u is divided by g(-12).
70
Suppose 0 = 37*s - 11591 - 2765. Calculate the remainder when s is divided by 53.
17
Let a = -619 - -840. Suppose a*l = 210*l + 209. What is the remainder when 170 is divided by l?
18
Suppose -5*z + 50 = -5*d, 2*z - 3*d + 8*d = -8. Let t be (-36)/(-5)*(-30)/(-6). What is the remainder when (t/(-21))/((-2)/14) is divided by z?
0
Let n = 575 + -258. Let p = 126187 - 126147. What is the remainder when n is divided by p?
37
Let v(b) = -21*b - 75. Let q be v(-10). What is the remainder when 107 is divided by 4806/q - 2/(-5)?
35
Let n(w) = w**3 - 9*w**2 + 9*w - 4. Let d be n(8). Suppose 5*c + d*b + 150 - 1193 = 0, -5*c - 3*b + 1041 = 0. Calculate the remainder when c is divided by 16.
15
Suppose -45 - 12 + 17 = 8*o. Let r(u) = -5*u + 57. Let n(k) = -3*k + 28. Let s(l) = 5*n(l) - 2*r(l). What is the remainder when s(o) is divided by 21?
9
Let h(l) = -l**3 + 12*l**2 + 2*l - 13. Suppose 16*g - 4*g + 2460 = 0. Let k = -184 - g. Calculate the remainder when k is divided by h(12).
10
Let k = -198 + 201. Calculate the remainder when (-9)/(-27)*(60 + 2)*k is divided by 11.
7
Let c(p) = 19*p. Suppose 263*w + 56 + 46 = 265*w. Calculate the remainder when w is divided by c(1).
13
Suppose -2300*k - 3*u = -2299*k - 775, 