r - 9. Let o be j(8). Let n = 7 + o. Let w = n - -37. What is the remainder when 38 is divided by w?
5
Suppose -2140*r = -2141*r + 558. What is the remainder when r is divided by 27?
18
Let s be 47 + -2 + (-3 - -4). Let n = s - 2. Calculate the remainder when n is divided by 16.
12
Let o = 46 + -28. What is the remainder when (-54)/((36/24)/(o/(-8))) is divided by 12?
9
Let b be -3 + 2 + (-3)/(-3). Let d = 4 + b. Suppose -4*q + 8*q - d = 0. What is the remainder when 1 is divided by q?
0
Let p = -5 + 36. Calculate the remainder when p is divided by 3 + ((-14)/(-63) - (-52)/9).
4
Suppose 0 = 16*y + 16*y - 4128. Let f = -159 - -86. Let z = f + 106. Calculate the remainder when y is divided by z.
30
Suppose 4*j - 39 = -i - 4, -3*i = 3*j - 15. What is the remainder when 42 is divided by j?
2
Let y(r) = 8*r**2 - 17*r - 10. What is the remainder when y(5) is divided by 22?
17
Let c = -173 + 191. Calculate the remainder when 44 is divided by c.
8
Suppose -f = 6*f - 21. Suppose f*b - 18 = b. Calculate the remainder when 14 is divided by b.
5
Suppose 2*d + 225 = 237. Let b = -7 + 3. What is the remainder when (-57)/(-6) + (-2)/b is divided by d?
4
Suppose -h - 3*s + 3 + 12 = 0, -5*h + 61 = s. Calculate the remainder when 33 is divided by h.
9
Suppose 0*x - 4*u + 36 = 2*x, 0 = 4*u - 12. Suppose -8*o - 64 = -x*o. Calculate the remainder when o is divided by 9.
7
Let m = -1341 - -1376. What is the remainder when m is divided by 4?
3
Suppose -3*f + 4*i + 2 = -13, -5*f - 3*i + 25 = 0. Suppose f*w - 3*t = t + 76, 28 = 2*w - 4*t. What is the remainder when w is divided by 6?
4
Let q = 3 + 7. Let r = q + 1. Calculate the remainder when 64 is divided by r.
9
Let q(w) = 2*w**2 - 3*w - 2. What is the remainder when (51/3)/((-9 - -17)/16) is divided by q(3)?
6
Let m = -80 - -83. Suppose -2*t + 3*l = -17 - 24, -l = -m. Calculate the remainder when 49 is divided by t.
24
Suppose 4*q = -3*y + 16, 4*y - 12 = -5*q + 2*q. Let c(i) = 10*i - 156. Let a be c(15). Let h = y - a. Calculate the remainder when 23 is divided by h.
5
Let v = 6 + 16. Calculate the remainder when 81 is divided by v.
15
Suppose 3*j = -j + 24. What is the remainder when 2 - 33/18 - (-356)/24 is divided by j?
3
Suppose -4*j - 52 = -p - 10, 2*p = -4*j + 96. Let y(d) = -5*d - 55. What is the remainder when p is divided by y(-16)?
21
Let j = 48 + -113. Let s = 107 + j. What is the remainder when s is divided by (-1)/3*(-1 - 32)?
9
Suppose 0*m + 14 = -2*m. Let o(q) be the first derivative of q**3/3 - q**2/2 - 10*q + 18. Calculate the remainder when o(m) is divided by 12.
10
Let y be (10/(-6))/((-7)/21). What is the remainder when 88 - y - (-1 + -1 + -1) is divided by 11?
9
Suppose 3*s - 46 = 7*a - 8*a, s + 128 = 3*a. Calculate the remainder when 279 is divided by a.
21
Let s = 16 + -11. Suppose s*m - j + 274 = 0, 1 = -2*j + j. Let p = m + 96. What is the remainder when p is divided by 14?
13
Let d = 133 + -113. Let c = 8 + -1. What is the remainder when d is divided by c?
6
Let k = -1042 + 1063. What is the remainder when 158 is divided by k?
11
Let o be -1 - (-3)/(-2)*(-20)/(-15). Let j(z) = -z + 6. Calculate the remainder when 23 is divided by j(o).
5
Suppose -49*x + 40*x + 450 = 0. What is the remainder when 187 is divided by x?
37
Let z be ((-13)/2)/(15/(-120)). Suppose 0 = 5*y + z - 277. Calculate the remainder when y is divided by 16.
13
Suppose 396*x - 1650 = 374*x. Calculate the remainder when x is divided by 30.
15
Suppose c - 338 = -3*p, -2*c + 222 + 226 = 4*p. Suppose -2*w - w + p = 0. Suppose 42*j - 37*j = 50. Calculate the remainder when w is divided by j.
8
Suppose l + 2*r - 85 = 0, -4*l + 28*r + 328 = 24*r. Calculate the remainder when l is divided by 18.
11
Suppose -380 - 270 = -25*a. Suppose 15 = -i + 2*i. What is the remainder when a is divided by i?
11
Let x(f) = -3*f**2 - f + 15. Let t(z) = 7*z**2 + 2*z - 29. Let r(y) = 2*t(y) + 5*x(y). Let o(k) = 4*k + 5. What is the remainder when o(7) is divided by r(0)?
16
Let c = -103 + 124. Calculate the remainder when 122 is divided by c.
17
Suppose -2018 = -24*p - 98. Calculate the remainder when p is divided by 23.
11
Let t be -4 + 1 + (-51)/(15/5). Let n(u) = 29 + 0*u**3 + 4*u**3 - 19*u**2 - 5*u**3 + 21*u. Calculate the remainder when n(t) is divided by 4.
1
Let j = 1123 - 1030. Calculate the remainder when j is divided by 20.
13
Let i be (1 + -6)/(2/(-2)). Suppose 0 = -i*m + 2 + 33. Let z = m + 11. Calculate the remainder when z is divided by 5.
3
Let n = 4 - -12. Let b be 34 + -4 + (3 - 2)*1. Suppose 0 = b*u - 26*u - 145. Calculate the remainder when u is divided by n.
13
Suppose 19*o - 22*o = -12. Suppose 5*k + 88 = 4*t + 2*k, 0 = 4*t + o*k - 60. Suppose -2*r = 4 - 26. Calculate the remainder when t is divided by r.
8
Let o(f) = 6*f + 51. Calculate the remainder when 27 is divided by o(-4).
0
Let r(j) = -j**3 + 5*j**2 - 3*j - 5. Calculate the remainder when 30 is divided by r(3).
2
Let q = -12 + 107. Suppose 5*h + 3*v + 0*v - q = 0, -5*h - 4*v + 95 = 0. Calculate the remainder when 34/1 - (0 + -1) is divided by h.
16
Suppose 0 = -3*p - 241 - 65. Let x = -75 - p. What is the remainder when 53 is divided by x?
26
Suppose 0 = 7*u - 65 + 2. Calculate the remainder when 53 is divided by u.
8
Suppose -2*s = -v - v - 14, s + 5*v + 23 = 0. Suppose -o - 69 = -s*o. What is the remainder when o is divided by 12?
9
Suppose 0 = -53*t + 48*t + 410. Calculate the remainder when t is divided by 58.
24
Let b(c) be the second derivative of c**4/12 - c**3 - 9*c**2 - 20*c. Calculate the remainder when 35 is divided by b(9).
8
Let v(l) = l**3 - 11*l**2 - 14*l - 5. Let p be v(12). Let q = -2 - p. Calculate the remainder when 76 is divided by q.
22
Let h(q) = 287*q**3 - 3*q**2 - 2*q + 2. Calculate the remainder when h(1) is divided by 72.
68
Suppose 3*s - c - 53 = 0, 2*s - 5*s - 5*c + 59 = 0. Let w be (-128)/1*(2 + -1). Let b = w + 180. Calculate the remainder when b is divided by s.
16
Suppose -1 = 3*h - 49. Let a = 161 - 68. Suppose 19*o - a = h*o. Calculate the remainder when 59 is divided by o.
28
Suppose 4*z - 5*o - 501 = 0, -3*o + 46 - 49 = 0. What is the remainder when z is divided by 36?
16
Suppose -5*d - 6 + 26 = -u, d + 5*u = 4. Suppose 0 = 5*l, 4*t + 0 = -l - 8. Calculate the remainder when t*9/6 - -18 is divided by d.
3
Let n be ((-3)/(-18)*-3)/((-1)/54). Suppose 24*w = n*w - 81. What is the remainder when w is divided by 4?
3
Let c(d) = 373*d - 355. Let u = 6 + -4. Suppose u*p - 50 = -3*p. What is the remainder when c(1) is divided by p?
8
Let q(c) be the third derivative of -c**6/30 - c**5/15 + c**4/8 - c**3/2 + 11*c**2. What is the remainder when q(-4) is divided by 45?
42
Suppose 0 = -x + 17 + 13. Suppose 5*i - 62 = 3*t, i - 4*t = x - 4. Suppose 0 = 8*g - i*g + 32. What is the remainder when 31 is divided by g?
15
Let n(d) = 3*d**3 - 7*d**2 + 8*d - 2. Let w be n(6). Suppose -8*z - 5*z = -w. Calculate the remainder when 2/(-3) + (-808)/(-6) is divided by z.
32
Suppose 2*f = -i + 7, 5*i - 2*i + 2*f = 17. Suppose 3 = 4*v - 3*v. Suppose -2*x - v = -9. Calculate the remainder when i is divided by x.
2
Suppose -5*r + 2*y = 4*y - 80, -4*y = 0. Let h = 156 - 95. Calculate the remainder when h is divided by r.
13
Suppose 83 = 3*x - m, 4*m - 536 = x - 549. Calculate the remainder when 31 is divided by x.
2
Let f(j) = -3*j + 18. Let r be f(9). Calculate the remainder when 12/r*1*(-102)/4 is divided by 9.
7
Let o(d) = d**2 - d + 18. Let w be (24/(-14))/(14/(-49)). Suppose m = w*m. Calculate the remainder when 53 is divided by o(m).
17
Let a = -141 + 663. Calculate the remainder when a is divided by 35.
32
Suppose 122 = 3*o - 172. Suppose 54 = 2*g + x, 5*x = -4*g - 17 + 137. What is the remainder when o is divided by g?
23
Suppose 0*w + 4*w + 16 = 0. What is the remainder when (-101)/((-9)/(-3) + w) is divided by 34?
33
Let h(w) = w**2 + 19*w + 87. Let l = -9 - -10. What is the remainder when 8/1 + (2 - l) is divided by h(-12)?
0
Let l(s) = 9*s**3 + s**2 - 2*s + 1. Let i be l(1). Suppose i*x - 38 = 7*x. Calculate the remainder when 149 is divided by x.
16
Suppose 5*h + 4*p + 2 = 1, 3*h + 5 = 2*p. Calculate the remainder when (-12 - -9) + 28 + h is divided by 18.
6
Let g(u) = 345*u - 1. Let y be g(2). Suppose 82*h - 79*h - 531 = 0. Suppose 8*s + h = y. W