der when s is divided by 9.
5
Suppose 5*g = 5, -w + 3*w - 78 = -4*g. Calculate the remainder when 174 is divided by w.
26
Let m = -382 - -487. What is the remainder when m is divided by 18?
15
Suppose 4*m - 5*m = 0. Suppose m = -3*b + 2*u + 157, -8*b + 4*u + 259 = -3*b. What is the remainder when b is divided by 19?
17
Let x = 75 + -75. What is the remainder when 21 is divided by 15*((-2)/(-5) - x)?
3
Suppose 86 = 2*k + 3*t, 78 = 2*k - 2*t + 3*t. Let z(w) = -w**3 + w**2 - w. What is the remainder when k is divided by z(-2)?
9
Let w = 245 - 228. What is the remainder when 90 is divided by w?
5
Let s = 39 + -27. Suppose 0*o - 3*o + 105 = 0. What is the remainder when o is divided by s?
11
Suppose 5*g - 316 = -4*r, -5*r = -5*g + g - 354. What is the remainder when r is divided by 20?
14
Suppose 0 = 4*g - 2*c - 2*c - 248, -2*g + 4*c + 132 = 0. Calculate the remainder when g is divided by ((-6)/(-4))/(1/10).
13
Suppose -s = -d - 5, s = 4*s + 3*d - 15. Calculate the remainder when s is divided by 2.
1
Suppose 3*n + 7 = -5*o + 1, -3*o = 3*n. Suppose -2*m + n*m - 73 = -4*g, 0 = 3*g + 5*m - 59. Calculate the remainder when 35 is divided by g.
17
Let i = 850 + -819. Suppose -k + 4*w + 110 = k, -4*k = -2*w - 238. What is the remainder when k is divided by i?
30
Suppose 3*p - 2*q - 72 = 0, p + 3*q = 6 + 18. Suppose 5*w = 2*h + 16, 4*w - p = -3*h - h. Calculate the remainder when 14 is divided by h/4 + (-14)/(-4).
2
Let y = 54 + 4. Suppose 0 = q + 1, 4*n = -q + 169 - y. Calculate the remainder when 80 is divided by n.
24
Let v(r) = -r**3 + 12*r**2 - 15*r - 49. Calculate the remainder when 1 is divided by v(10).
0
Let i = -271 - -1062. Suppose 6*q = -q + i. Calculate the remainder when q is divided by 29.
26
Let n = 15 - 14. Suppose -2*c + 5*p = -23, -p + 2*p - n = 0. Calculate the remainder when 8/(-14)*c/(-4) is divided by 2.
0
Let m(j) = -j - 3. Suppose -3*i + 1 = p + 5, 0 = -3*p - 2*i + 9. Let g be m(p). What is the remainder when (2*140/g)/(-1) is divided by 6?
5
Let p be -2 + 2*(2 - 1). Suppose p = x + 4*x. Suppose -n + 6 + 1 = x. What is the remainder when 12 is divided by n?
5
Let h be (-9)/(1 - 4)*-1. Let o be ((-3)/h)/(2/4). Suppose o*f - 178 = -5*t, 1 = -3*t + f + 99. Calculate the remainder when 133 is divided by t.
31
Let j(w) = -2*w**3 - 4*w**2 - 3*w - 1. Let a be j(-2). Let q = a + -3. What is the remainder when 23 is divided by q - (-4)/((-12)/(-33))?
10
Suppose 3*p + 15 = -3*g, -g = g + 4*p + 20. What is the remainder when 78 + (3 - g) + -3 is divided by 9?
6
Suppose -x - x = -38. Suppose -4*o + 21 = 9. Suppose 3*r = 5*h - 169, 4*r - 183 = -2*h - o*h. What is the remainder when h is divided by x?
16
Let y(h) = h**3 - 9*h**2 - 9*h + 2. Suppose 3*r = 0, -90 = -2*i + r + 4*r. What is the remainder when i is divided by y(10)?
9
Calculate the remainder when (-2 + 342/6)*232/20 is divided by 9.
8
Suppose -4*s + h + 164 = 0, 11*h = s + 6*h - 60. What is the remainder when 175 is divided by s?
15
Suppose 3*c = -2*c. Suppose 2*m = -c*m + 30. Suppose u + m = 35. What is the remainder when u is divided by 7?
6
Let w = 438 + -416. What is the remainder when 65 is divided by w?
21
Let n(l) be the first derivative of -l**4/4 + 11*l**3/3 + 8*l**2 + 15*l - 15. What is the remainder when n(12) is divided by 16?
15
Let i(o) = -o**3 + 7*o**2 + 12. Let y be i(6). Suppose -h = -2*j - y, -4*h + j + 189 = -4*j. Calculate the remainder when 180 is divided by h.
42
Let c(p) = -21*p. Suppose -5*t - 12 = t. Suppose 21 = q - 1. Calculate the remainder when c(t) is divided by q.
20
Let b = -489 + 404. Let r = -21 - 18. Let s = r - b. Calculate the remainder when s is divided by 12.
10
What is the remainder when (-4 - (-28)/6)/((-15)/(-7425)) is divided by 16?
10
Let c(h) = -h**3 - 7*h**2 - 14*h - 24. Let u = 35 - 19. What is the remainder when c(-6) is divided by u?
8
Suppose -344 = 3*d - 11*d. Suppose -3*m - 16 + d = 0. What is the remainder when 22 is divided by m?
4
Suppose 5*z = 3*h + 102, 5*h - 338 = -5*z - 228. Let a(f) = 3*f**2 - 3*f - 2. Calculate the remainder when z is divided by a(3).
5
Suppose 8 + 7 = 5*f. Let c(w) = 74*w - 6. Let n be c(4). Suppose -2*h = f*h - n. What is the remainder when h is divided by 15?
13
Suppose -240 = 91*b - 95*b. Suppose -4*q - 72 = -4*a, -2*a - 5*q = -q - b. What is the remainder when 0 + (85 - -1*1) is divided by a?
20
Let f = -604 + 616. What is the remainder when 608 is divided by f?
8
Let h(l) = 3*l**3 - 19*l**2 + 71*l - 11. Calculate the remainder when h(5) is divided by 42.
34
Suppose -c - 4*f = -6*c + 87, -3*c + f = -48. Calculate the remainder when 57 is divided by c.
12
Suppose -91 = -3*h + 2*j + 24, -3*h + 5*j + 103 = 0. Calculate the remainder when h is divided by (-97)/(-7) + 8/56.
13
Suppose -4*p = -2*p - 46. Let v = p + -8. What is the remainder when 43 is divided by v?
13
Let u be 3*(-3 + (-13)/(-3)). Let q(r) = r**2 - 2*r + 1. Calculate the remainder when 44 is divided by q(u).
8
Let k be (-20)/(-5) + (1 - 2). Suppose -k*h + 20 = 5, 5*u - h - 145 = 0. What is the remainder when u is divided by 11?
8
Let j = -397 + 448. Calculate the remainder when 405 is divided by j.
48
Let i be (2 + 6)/((-2)/(-12)). Let u be (-1)/((2/(-90))/1). Suppose -u = -3*n + i. Calculate the remainder when n is divided by 11.
9
Suppose -60*z + 6655 = -5*z. What is the remainder when z is divided by 33?
22
Let f = -202 + 260. Calculate the remainder when f is divided by 16.
10
Let m = 24 + 5. What is the remainder when m is divided by 9?
2
Let r = -38 + 81. Let t = 22 + r. Suppose 0 = -5*w + 9 + 76. What is the remainder when t is divided by w?
14
Let j(a) = a - 3. Suppose -2*z = z - 6. Suppose -z*y + 0*y + 10 = 0. What is the remainder when j(y) is divided by 2?
0
Suppose 4*a - 5 = -u + 15, -3*a - 169 = -5*u. Suppose -u = -7*x + 52. Calculate the remainder when 45 is divided by x.
9
Suppose 5*n - 12 - 3 = 0. Suppose 4*a - a = h - 9, -5*h - n*a + 99 = 0. Calculate the remainder when 15/(315/(-14)) + (-208)/(-6) is divided by h.
16
Suppose -112 = 41*w - 45*w. Calculate the remainder when 138 is divided by w.
26
Let g = -8 - -12. Suppose 0*c + g*c - 4 = 0. Suppose c - 21 = -5*h. What is the remainder when h is divided by 3?
1
Suppose -l - 68 = -3*l. Let s = 17 + -218. Let q = 213 + s. What is the remainder when l is divided by q?
10
Suppose 3*j - 3*z = 6, -7*z + 2*z = 3*j - 30. Calculate the remainder when 17 is divided by j.
2
Calculate the remainder when (-2 + 12 + 2)*610/15 is divided by 14.
12
Let v = 35 - -19. Suppose -3*m - 2*w + 44 = 3*w, 5*m + 2*w = 86. Suppose -7 = u - m. What is the remainder when v is divided by u?
10
Let k(h) = h**2 + 4*h - 82. Suppose -4*i - 26 = -6*i. What is the remainder when k(-13) is divided by i?
9
Let q = -525 - -360. Let f = 381 + q. Suppose 3*j - 2*d - 131 = 0, j - 6*j = -d - f. What is the remainder when j is divided by 16?
11
Let d(s) = 21*s**3 - 5*s**2 + s - 4. What is the remainder when d(2) is divided by 30?
26
Let c be ((-27)/4)/((-1)/(-4)). Let n = c - -58. Let b(t) = 35*t + 1984. Calculate the remainder when b(-55) is divided by n.
28
Let m(f) = f**3 - 4*f**2 - 13*f - 25. What is the remainder when 490 is divided by m(7)?
25
Suppose 14*f - 940 = 10*f. What is the remainder when f is divided by 72?
19
Let g = 67 - 46. Calculate the remainder when 62 is divided by g.
20
Let v(h) = -h**3 + 8*h**2 - 7*h + 5. Suppose -16 = 2*m - 5*g, 20 = -g + 6*g. Suppose 5*l = m*l + 15. Calculate the remainder when v(l) is divided by 16.
13
Let i = 5046 - 5014. What is the remainder when (-41)/((-1)/3*1) is divided by i?
27
Suppose 15*a = -421 + 1891. What is the remainder when a is divided by 15?
8
Let s = 54 - 33. Let h(t) = 2*t**3 + 24*t**2 + 39. Calculate the remainder when h(-12) is divided by s.
18
Suppose 3*f - 120 - 69 = 0. Let v be f/(-14)*2/(-3). Suppose -4*j = -3*r, -v*r = 2*r - 20. What is the remainder when 8 is divided by j?
2
Suppose 5*x - 2*l = 115, -2*l + 29 + 24 = 3*x. Suppose 3*s - 147 = 4*h + 103, 5*h = 5*s - 415. What is the remainder when s is divided by x?
19
Suppose -505*a = -495*a - 670. What is the remainder when a is divided by 41?
26
Let c = -86 - -90. Suppose 5*q = c*q + 18. Suppose -2*x - 3*x + 20 = 3*h, -3*x = -2*h + 26. Calculate the remainder when q is divided by h.
8
Let c(g)