is divided by 7.
6
Suppose w = -3*j + 309, w = -j - 0*j + 315. Suppose -10*o + 7*o = -w. What is the remainder when o is divided by 18?
16
Let d(f) = 5*f**3 + f**2 - f + 1. Let n be d(1). Suppose 3*q = n*q + 6. What is the remainder when q/(-5) + (-108)/(-5) is divided by 8?
6
Let u be (-2)/(46/10 + -5). Suppose 0 = u*v - 10*v + 20. Calculate the remainder when 34 is divided by v.
2
Suppose -17*v + 821 = -624. What is the remainder when 508 is divided by v?
83
Suppose 4*h + 4*g - g = 189, 3*h + 3*g - 138 = 0. Calculate the remainder when h is divided by 24/(-2 + 5) - -1.
6
Let m(l) = -l**3 + 13*l**2 - 13*l + 5. Let y be (4/6)/(10/135). Let u be m(y). Suppose -5*b - u + 597 = 0. What is the remainder when b is divided by 26?
25
What is the remainder when 303 is divided by (-3 - 17/(-3))*462/88?
9
Let w = -1094 + 1111. Calculate the remainder when 696 is divided by w.
16
Suppose 3*c + 7 = 10. Let m(d) = d**3 + 5*d**2 + 3*d - 2. Calculate the remainder when c + -5 - 9/(-1) is divided by m(-4).
1
Suppose -4 = -4*q + 8. Suppose 6*v + 14 = 62. What is the remainder when v is divided by q?
2
Suppose -5*y + 8*y = 0. Suppose -3*k - 4*p + 3*p + 98 = y, 24 = k - 4*p. Let a = 29 - 18. What is the remainder when k is divided by a?
10
Suppose -115*x + 130*x = 105. Let o(k) = -2*k**3 - 3*k**2 - k - 3. Calculate the remainder when o(-3) is divided by x.
6
Suppose -2*i + 10 = -z - 36, 0 = -4*i + 4*z + 92. Let j = -35 - -47. Calculate the remainder when i is divided by (1 + 2/(-4))*j.
5
Calculate the remainder when 45 is divided by (4270/(-25))/(-14) + 4/5.
6
Let d = -9 + 4. Let p(g) = -g**2 - 4*g + 5. Let k be p(d). Suppose k = b - 5*b + 5*i + 112, -4*b = -i - 128. Calculate the remainder when b is divided by 12.
9
Let m(b) be the third derivative of b**5/30 - b**4/12 + 2*b**3/3 - 23*b**2. Calculate the remainder when 83 is divided by m(4).
27
Suppose -44*v + 49*v = 5*n + 55, 5*v - 75 = n. What is the remainder when 123 is divided by v?
11
Suppose d + 4 = 6. Suppose 3*v - 5*g - 196 = 0, 2*v + d*v - g = 233. What is the remainder when v is divided by 16?
9
Calculate the remainder when 317 is divided by ((-76)/228)/((-1)/33).
9
Let f(s) = 12*s + 48. Calculate the remainder when f(13) is divided by 30.
24
Suppose 59 = 3*i + 2*y + 16, -3*y = 4*i - 59. Calculate the remainder when (-2 + -28)*(-4)/6 is divided by i.
9
Suppose -12*s = -9*s - 15. Suppose s*d + 0*y = -y + 119, 5*y = -5. Calculate the remainder when 141 is divided by d.
21
Suppose 652 = -16*t + 780. Calculate the remainder when 453 is divided by t.
5
Suppose 0 = -3*a + 9, z - 2*z + 5*a - 29 = 0. Let w = z - -32. Calculate the remainder when w is divided by 8.
2
Suppose 114 = 71*q - 596. Let y(r) be the second derivative of -5*r**3/6 - r**2/2 + 2*r. Calculate the remainder when y(-4) is divided by q.
9
Suppose 3*p + 6*p = 36. Suppose 6*g + 3*y = 7*g - 59, -y = p*g - 301. Calculate the remainder when g is divided by 11.
8
Let f(n) = -2*n**2 + 3. Let h be f(0). Suppose -2*b + h*y + 59 = 2*b, 5*y = 3*b - 36. Suppose 5*c + 15 - 45 = 0. What is the remainder when b is divided by c?
5
Suppose 4*o - 5*c - 173 = 0, 48 - 8 = o + 2*c. Calculate the remainder when o is divided by 24.
18
Suppose 2*h + 2*z - 12 = 0, 3*h - 3*z - 41 + 29 = 0. Calculate the remainder when 498 is divided by h.
3
Let n(u) = -5*u**2 + 0*u - 6 + u - 10*u + 4*u**2. Let m be n(-8). What is the remainder when m - -15 - (-1 - 1) is divided by 5?
4
Let c = 85 + -60. Let j(h) = 6*h**2 - 17*h - 1. Let u(r) = -7*r**2 + 17*r + 1. Let w(p) = -6*j(p) - 5*u(p). Calculate the remainder when w(8) is divided by c.
23
Let s = 177 + -99. What is the remainder when s is divided by 14?
8
Calculate the remainder when 15 is divided by 1*3 + (8 - 1).
5
Suppose -7*y = -77*y + y + 5727. Let m = -74 + 117. What is the remainder when y is divided by m?
40
Let q(v) = -v + 14. What is the remainder when 167 is divided by q(7)?
6
Suppose 0 = 4*c - 2*c - 20. Suppose -36 = -z - 3*f, -7*z - 2*f = -3*z - 184. Calculate the remainder when z is divided by c.
8
Suppose 61 = 7*p - 2*p + 2*u, 3*p - 24 = 3*u. Suppose -3*w = -w - 16. Suppose v = -v + w. Calculate the remainder when p is divided by v.
3
Let i(u) = -u**3 - 9*u**2 + 70*u + 639. Calculate the remainder when (10/3)/(6/135) is divided by i(-10).
36
Let j(m) = -m - 1. Let b be j(0). Let f be (-2)/((-2)/(2 + b)). Calculate the remainder when 25 is divided by 1 + -1 + 10 - f.
7
Let r = 323 - 274. Calculate the remainder when r is divided by 32.
17
Suppose -f = 10*d - 5*d - 23, 3*d - 126 = -4*f. Suppose -5*y + 54 = -2*y. Calculate the remainder when f is divided by y.
15
Let v be (1/(-2))/(2/4). Let a = 5 + -2. Let l = a - v. Calculate the remainder when 11 is divided by l.
3
Let p = -109 + 161. Let q be 3*((-8)/10)/(6/15). What is the remainder when p is divided by (-222)/(-21) + q/(-14)?
8
Suppose -17*r - 5*y = -12*r - 160, 137 = 4*r + y. Calculate the remainder when 68 is divided by r.
33
Let g(b) be the third derivative of b**4/4 - b**3/2 + 14*b**2. What is the remainder when g(9) is divided by 27?
24
Let l(a) be the second derivative of -a**5/5 + a**4/12 + 7*a**3/6 + 3*a**2/2 - 7*a. Calculate the remainder when l(-2) is divided by 9.
7
Let c = 13 - 4. Let b(l) = 0 + 12*l - 17*l**2 + 16*l**2 - 3. What is the remainder when b(6) is divided by c?
6
Suppose -74*c + 83*c = 828. What is the remainder when c is divided by 28?
8
Suppose -7*w + 13*w - 126 = 0. Let q = 27 - -33. Calculate the remainder when q is divided by w.
18
Let x = 19 - 16. Suppose 4*q + 112 - 272 = 2*o, -5*o = x*q - 146. What is the remainder when 167 is divided by q?
41
Suppose 3*d + 2*d = 80. Suppose 0 = -4*w + 4*t + 164, -7*t + 12*t - 5 = 0. What is the remainder when w is divided by d?
10
Let c = 194 + -177. Suppose 0*g - 10 = -2*g. Calculate the remainder when c is divided by g.
2
Let z = 11 + -8. Suppose 0 = 5*b - z - 2. Let v = -14 - -16. What is the remainder when v is divided by b?
0
Suppose 5*d + 4 = d, 5*z + 222 = -2*d. What is the remainder when 37 is divided by 3*z/(-24)*(-6)/(-3)?
4
Let a(v) = -v**3 - 19*v**2 - 95*v - 24. What is the remainder when 2598 is divided by a(-10)?
24
Let o be -9*((1 - 2) + 0). Suppose -5*i = -o*i + 144. What is the remainder when 143 is divided by i?
35
Let c be (30/9)/(1/3). Let n = c + 20. Suppose -q + 119 = 2*i, -3*q - 117 = -2*i - 2. What is the remainder when i is divided by n?
29
Suppose 2*y = -2*i + 298, -5*y = 2*i - 68 - 233. Suppose -181 - 19 = -4*m. Calculate the remainder when i is divided by m.
48
Let r(m) = -47*m - 42. Calculate the remainder when r(-4) is divided by 21.
20
Let f(y) = y**2 + 8*y + 8. Let h be f(-6). Let d be (2/h)/((-7)/308). Calculate the remainder when 8 is divided by (2/3)/(d/99).
2
Let j = 283 - 181. Suppose 4*a - j - 14 = 0. What is the remainder when a is divided by 8?
5
Suppose -4*j = -32 - 40. Suppose 0 = 2*l - 0*l - 60. Calculate the remainder when l is divided by (3/(-2))/(j/(-192)).
14
Suppose 3*r - 4*r - j + 9 = 0, j - 35 = -3*r. Calculate the remainder when 76 is divided by r.
11
Let q(g) = -10*g - 3. Let y(a) = -a**3 - 9*a**2 - 3*a - 30. Let s be y(-9). What is the remainder when q(s) is divided by 4?
3
Let f = 5 - -6. What is the remainder when 85 is divided by f?
8
Suppose 347 = 3*g + 5*y, -127 = -g - 0*y + 4*y. What is the remainder when g is divided by 40?
39
Suppose 5*g + 4*r = 64, 6*r = 4*g - 47 + 5. Calculate the remainder when 127 is divided by g.
7
Let v be 3/(45/6)*5. Suppose 49 = i - 2*q, 5 = -i - 5*q + 75. Suppose 0 = -v*g - 3*g + i. What is the remainder when 42 is divided by g?
9
Let d(x) = -7*x + 3*x - 6 + 3*x. What is the remainder when d(-12) is divided by (3 - -1) + (-1 - 1)?
0
Suppose 29*o - 1518 = -4*o. Calculate the remainder when 88 is divided by o.
42
Let l = -17 + 20. Suppose l*b + 8*u = 3*u, 3*b = -u + 12. Suppose -5*k = 4*d - 81, b*k - 77 = -3*d - 0*d. Calculate the remainder when 89 is divided by k.
11
Let m(k) = 8*k + 154. Calculate the remainder when m(0) is divided by 26.
24
Let u be (8 + -11)*(-1 + 0). Suppose u + 13 = -2*g. Let o = g - -22. What is the remainder when 54 is divided by o?
12
Suppose 3*f - 184 = -43. Suppose 6*i + 2 - 14 = 0. Suppose -i*z + z = -16. Calculate the remainder when f is divided by z.
15
Let o = 58 - 4. Let c