, -92 = -5*k + 4*u. Calculate the remainder when 37 is divided by k.
17
Suppose -m = -3*i + 25 + 75, -5*i + 174 = 2*m. What is the remainder when 744 is divided by i?
30
Let b = 73 + -74. What is the remainder when (1525/(-75))/(b/6) is divided by 42?
38
Suppose 0 = -s - 4*s + 540. Suppose 4*k - 40 = s. Suppose -2*b + b + k = 0. What is the remainder when b is divided by 10?
7
Suppose -2*o = -o + 4*h - 10, 2*o - 3*h - 9 = 0. Suppose -2*b + 3 = 5*p - 1, -8 = 2*p. Calculate the remainder when 29 is divided by 2/o + 92/b.
5
Let j = -282 + 667. Calculate the remainder when j is divided by 26.
21
Let o(u) = -26*u**2 + 111*u - 41. Let q(n) = 5*n**2 - 22*n + 8. Let d(l) = -2*o(l) - 11*q(l). What is the remainder when 153 is divided by d(4)?
23
Suppose 4*w - 3*u - 333 = 0, 0 = w - 0*w - u - 84. Suppose -w = -5*s + b, -2*s + 39 - 5 = -2*b. What is the remainder when 93 is divided by s?
13
Suppose -18 = -2*r - 4*r. Suppose 0 = 2*s, -p - 140 = -6*p + r*s. What is the remainder when p is divided by 18?
10
Let a(s) = -59*s**3 + 5*s**2 + 4*s - 1. What is the remainder when 172 is divided by a(-1)?
54
Let k(p) = -12*p - 80. Calculate the remainder when 203 is divided by k(-8).
11
Let n = 38 - 9. Calculate the remainder when 26/39*(-165)/(-2) is divided by n.
26
Let m(b) = -b**3 - b**2. Let c(q) = 6*q**3 - 2*q**2 - q. Suppose 11 - 14 = -3*p. Let f(a) = p*c(a) - 3*m(a). Calculate the remainder when 24 is divided by f(1).
6
Let t(r) = r + 7. Let p(l) be the first derivative of 33*l**4/2 - l**3/3 + l**2/2 - l + 5. What is the remainder when p(1) is divided by t(10)?
14
Suppose t + c + 4 = 0, -2*c = -3*t - 0*c + 8. Suppose t = v + 3*v. Suppose v = 17*p - 22*p + 395. What is the remainder when p is divided by 16?
15
What is the remainder when (90/75)/((-6)/(-105)) is divided by 12?
9
Suppose -36*i - 24 = -39*i. Let z(a) = a + 36. Calculate the remainder when z(i) is divided by 9.
8
Let x = 216 - 205. What is the remainder when x is divided by 3?
2
Let a(y) = -y**2 + 1. Let u(k) = 9*k**2 + 0*k + 3*k - 2*k**2. Let h(f) = 3*a(f) + u(f). Calculate the remainder when 25 is divided by h(-2).
12
What is the remainder when 369 is divided by 35/(-105) + 188/6?
28
Suppose y - 5*q + 9 - 37 = 0, 0 = 4*y - q - 150. What is the remainder when 137 is divided by y?
23
Let h = 163 - -75. Calculate the remainder when h is divided by 24.
22
Let i(c) = c**3 - 2*c**2 - 2*c + 18. What is the remainder when i(4) is divided by 26?
16
Let c = -38 + 266. Calculate the remainder when c is divided by 8.
4
Let p = -1 - -8. Suppose 10*s - 124 = 216. Calculate the remainder when s is divided by p.
6
Let f(a) = a**3 - a**2 + a + 31. Let r(w) = -w - 8. Let p be r(-8). Calculate the remainder when 90 is divided by f(p).
28
Suppose -200 = 4*k - 2*c, 0 = k - 0*c + c + 50. Let d = k - -88. Calculate the remainder when d is divided by 8.
6
Suppose -s = -0*s - 17. What is the remainder when s is divided by 2?
1
Let d be 1358/8 + 2/8. Let r(s) = -s**2 + 18*s - 36. What is the remainder when (d/15)/(1/3) is divided by r(15)?
7
Suppose 4*h - 306 = -5*q + 230, -h = 2*q - 212. Let l be 5 + -1*0*(-5)/30. Suppose s + q = l*s. Calculate the remainder when s is divided by 7.
5
Let z = -12 - -5. Let t be (-11)/33 - z/3. Suppose -3*q = -3*l - 15, -t*q + 0*l = -4*l - 2. Calculate the remainder when 24 is divided by q.
6
Suppose 9*p = 7*p + 12. Suppose -f + 4*f = -p. What is the remainder when 54 is divided by (-14)/3*(-5 - f)?
12
Let y = -127 - -129. Suppose 0 = -y*j + 19 - 9. Calculate the remainder when 21 is divided by j.
1
Let u(a) = -2*a**2 + 18*a + 20. Let h(o) = -o**2 + 18*o + 20. Let d(y) = -3*h(y) + 2*u(y). What is the remainder when 42 is divided by d(-15)?
17
Calculate the remainder when 46 is divided by (-177)/(-9) - 2/3.
8
Suppose w + 3*w + 36 = 4*v, 19 = 2*v - 3*w. Suppose -3*b - 2 = -11. Suppose -l - b*l + 92 = 0. What is the remainder when l is divided by v?
7
Let d(j) = j + 4. Suppose 3*o = -9 - 3. Calculate the remainder when (28/(-6))/(o/36) is divided by d(18).
20
Let c(y) = y**2 - 2*y - 21. Let f be c(-4). Suppose -4*u + 3*u + 89 = 3*o, f*u - o = 237. What is the remainder when u is divided by 28?
24
Let m(n) = 7*n**2 + n + 3. Let g(i) = -i**3 - 11*i**2 - 8*i + 18. Let x be g(-10). What is the remainder when 83 is divided by m(x)?
25
Suppose 3*i - 5*i + 6 = 0. Suppose 0 = 3*v + 2*c - 10, -24 = -5*v - 14*c + 18*c. What is the remainder when v is divided by i?
1
Suppose 3*z + 75 = -11*q + 14*q, -5*z = 15. What is the remainder when 87 is divided by q?
21
Suppose 2*z - 2*r + 9 - 25 = 0, 2*z - r - 19 = 0. Suppose 4*c - z = 5*s, -5*s + 3*c + 9 = 4*c. Let j = 5 + s. What is the remainder when 9 is divided by j?
3
Suppose -4*c - 3*w + 33 = 0, c - 24 = -4*c + 2*w. What is the remainder when -3*((-88)/c)/1 is divided by 5?
4
Suppose -m = 5*p - 194, -148 = -4*p - 3*m + 4*m. Let q = p - 6. Suppose -2*y = -4*c - 25 - 9, 5*c + 15 = 0. Calculate the remainder when q is divided by y.
10
Let i(p) be the third derivative of p**6/120 + p**5/5 - p**4/24 + p**3/6 - 5*p**2. What is the remainder when i(-12) is divided by -3*-2*(-14)/(-12)?
6
Suppose -3 = 3*q + 3. Let v be 1 + 11/(-9) + (-125)/45. Calculate the remainder when 4 is divided by (-27)/(-18) + v/q.
1
Suppose -3*v - 71 = 4*y, 5*y + 93 = -3*v - v. Let z(r) = r**3 + 17*r**2 - 4*r - 13. What is the remainder when 214 is divided by z(v)?
49
Suppose 7*o - 3*o + 752 = 0. Let i = o - -290. What is the remainder when i is divided by 35?
32
Let r = 32 - 45. Let b = 40 + -6. Calculate the remainder when b is divided by -2 - (-2 + r - -4).
7
Let c(k) = k**3 - 21*k**2 + 41. Suppose -p - 3*j = -0*j - 24, 3*p + 3*j = 66. Calculate the remainder when c(p) is divided by 0 + -1 - (-12)/1.
8
Suppose 3*h + 3*u - 33 = 0, h + u = 3*h - 37. Let o be (-2)/((-7)/(196/(-8)))*-1. Suppose o*r - 412 = -83. What is the remainder when r is divided by h?
15
Let h = -476 - -482. Calculate the remainder when 706 is divided by h.
4
Let l(n) = -n**3 - 13*n**2 - n - 1. Calculate the remainder when 116 is divided by l(-13).
8
Let c = 26 - 22. Suppose 0*h - 2*j + 94 = c*h, -h = -2*j - 16. What is the remainder when h is divided by 5?
2
Suppose -4*s = 2*z - z + 50, 2*z = 2*s + 30. Let a = -8 - s. Suppose 0 = a*m + 2*t - 31, 4*t - 27 = -2*m - 3*m. What is the remainder when 18 is divided by m?
4
Let b = -36 - -76. Let i = b - 20. What is the remainder when 78 is divided by i?
18
Suppose -67*l + 20 = -69*l. Calculate the remainder when 65 is divided by (-6)/l - ((-448)/(-5))/(-4).
19
Let z be 3 - 1*(-2)/2. Suppose -z = -2*f + 34. Suppose 4*q + 73 = 5*c, -c + 6*q + f = 3*q. What is the remainder when 51 is divided by c?
12
Calculate the remainder when 416 is divided by (-5 + 1)*5*(-6)/6.
16
Suppose -4*m - t - 23 = 0, 2*m + m = -5*t - 13. Calculate the remainder when m/(-39) - 969/(-39) is divided by 5.
0
Let h = -295 + 310. Suppose -20 = 4*l - 9*l. What is the remainder when h is divided by l?
3
Let x(n) = 6*n**3 + 4*n**2 - 11*n + 16. Calculate the remainder when x(2) is divided by 8.
2
Suppose -4*x = -4*l, 2*l - 6*l = 3*x + 21. What is the remainder when x/(-2) + (138/12 - -6) is divided by 10?
9
Let z = 776 - 170. What is the remainder when z is divided by 2?
0
Let f = -682 + 805. What is the remainder when f is divided by 63?
60
Let c(l) = -12*l - 42. What is the remainder when 44 is divided by c(-5)?
8
Let n(a) = 2*a**2 + 3*a + 2. Let f be n(-2). Suppose 0 = f*v - 105 + 9. What is the remainder when (-4)/58 + (-16032)/(-348) is divided by v?
22
Let g = 2113 - 1981. What is the remainder when 785 is divided by g?
125
Let b be (3 - 4)/((1/25)/(-1)). Let d = b + -6. Calculate the remainder when d is divided by 2*5 - -1*1.
8
Suppose 0 = 5*t, -3*i + 2*t + 76 = -137. Calculate the remainder when i is divided by 20.
11
Let i(p) = -3*p - 11. Let z(u) = u**3 - 8*u**2 + 6*u + 10. Let x be z(8). Let l = -13 + x. Calculate the remainder when l is divided by i(-9).
13
Suppose -2*f + 32 = l, -f + 5*l - 80 = -6*f. What is the remainder when 141 is divided by f?
13
Let u = 3162 - 2687. Calculate the remainder when u is divided by 17.
16
Let z(c) = -3*c**2 + 4*c**2 + 0*c - 3*c - c**3 - 3*c**2. Let j be z(-4). What is the remainder when j + 8/(-2)*-1 is divided by 25?
23
Let b(j) = j**3 - 7*j**2 + 8*j + 