1. Calculate the remainder when n(-3) is divided by g.
14
Let i(a) = 17*a - 4. Let c(d) = -6*d + 12. Let r(x) = -x**2 - x + 6. Let k be r(2). What is the remainder when i(3) is divided by c(k)?
11
Let a be 3216/10 + 2/5. Suppose 3*q = -4*q + a. Let u(l) = l**2 + 4*l - 5. What is the remainder when q is divided by u(-7)?
14
Calculate the remainder when 57 + -62 - -1*(2 + 252) is divided by 35.
4
Suppose z + 2*k = 90, -5*z + 2*z = k - 280. Let s = -75 + z. Calculate the remainder when s is divided by 3.
1
Let a(s) = -s**3 - 3*s**2 + 3*s + 3. Let b be a(-4). Suppose b*o - 5*o = 0. What is the remainder when 88 is divided by (30/1)/(1 + o)?
28
What is the remainder when ((-8)/(-3))/((-23)/(-207)) is divided by 14?
10
Let p(z) = 16*z + 2. Let r(g) = 2*g**2 - g - 2. Let y be r(2). Let i be p(y). Let f = i - 31. Calculate the remainder when f is divided by 12.
11
Let i = -6 - -15. Suppose 11 = d - i. Let z = 70 - 32. What is the remainder when z is divided by d?
18
Let w(x) = -33*x - 5. Let k be w(-2). Suppose 11 = -2*y + k. Suppose 4*b - 15 - y = 0. Calculate the remainder when 17 is divided by b.
7
Let m = 53 + -7. Suppose -4*s - 3*c = -61, -3*s + c - 3*c = -m. Calculate the remainder when s is divided by 7.
2
Let v(d) = d**2 + 4*d + 3. Let u be v(-5). Suppose -2 = z, 4*z + u = b - 20. What is the remainder when 59 is divided by b?
19
Let o(i) = -i**3 - 29*i**2 - 29*i + 7. Calculate the remainder when 100 is divided by o(-28).
30
What is the remainder when 66 is divided by 27*(0 + (-3 - (-22)/6))?
12
Let t(h) = -75*h - 124. What is the remainder when t(-2) is divided by 2?
0
Suppose 3*q - 150 = q. Let s(i) = -i**3 - 2*i**2 - i + 3. What is the remainder when q is divided by s(-4)?
36
Suppose -2*h - 100 + 476 = 0. What is the remainder when h is divided by 63?
62
Let y(b) = -b**3 + 5*b**2 - 3. Let u(q) = 2*q + 5. Let v be u(5). Let f be 18/v*(-10)/(-4). What is the remainder when y(f) is divided by 9?
6
Let f be ((-240)/(-56))/(1*2/(-28)). Let d = f - -101. Let t = 23 + -9. Calculate the remainder when d is divided by t.
13
Suppose 15 = 3*v + 117. Let w = -28 - v. Calculate the remainder when 37 is divided by (-4)/(-6) + 44/w.
5
Suppose 4*c - 33 = 3*r - 1, -13 = -5*c - 3*r. Suppose 0 = -4*a - y + 86 - 19, -5*y = -2*a + 39. Calculate the remainder when a is divided by c.
2
Calculate the remainder when ((-16)/(-40))/((-14)/(-3325)) is divided by (-70)/(-3) - 4/(-6).
23
Suppose 0 = -3*r + s + 18, 3*r = 2*s - 0*s + 18. Let u = 9 - r. Suppose 10 = -2*k + 4*j, 5*k - 24 = -u*j + 3. Calculate the remainder when 11 is divided by k.
2
Calculate the remainder when 21/(-14)*(-272)/6 is divided by (-1 - (-198)/30)*(-10)/(-4).
12
Let k(w) = 2*w + 3. Calculate the remainder when 222 is divided by k(8).
13
Suppose 164 = -26*j + 30*j. Calculate the remainder when j is divided by 7.
6
Let o(u) = -u**3 - 17*u**2 - 6*u + 25. Calculate the remainder when o(-17) is divided by 44.
39
Let n be 0 + -2 - (0 + -26). Let z = n - 13. Let g(t) = 65*t - 47. What is the remainder when g(1) is divided by z?
7
Let c = -1290 + 1820. What is the remainder when c is divided by 59?
58
Let v(d) = d**3 - 3*d**2 - d + 7. Let k be v(3). Suppose -21 = -s - k. Calculate the remainder when 30 is divided by s.
13
Suppose 18 = -2*d + 4*d. Suppose 0 = 49*f - 52*f + 15. What is the remainder when d is divided by f?
4
Let u(a) = -3*a - 35. Suppose -5*f - 49 - 11 = 5*j, f + 4*j - 3 = 0. Calculate the remainder when 44 is divided by u(f).
12
Suppose -533*u - 209 = -544*u. Calculate the remainder when 222 is divided by u.
13
Let o = -29 - -31. Suppose -o*h - 220 = -7*h. What is the remainder when h is divided by 23?
21
Let n = 1284 + -1083. What is the remainder when n is divided by 29?
27
Suppose -448 = 2*n - 9*n. Calculate the remainder when n is divided by (1 + 12)*(10 + -9).
12
Let v = -97 - -110. Suppose 0 = 12*t + v - 241. What is the remainder when 37 is divided by t?
18
Let j be 2 - (2 - (-8)/(-2)). Suppose -26 = 2*d - j*d. Suppose -m + 10 = 3*w, -3*m + 22 = m + 3*w. What is the remainder when d is divided by m?
1
Let f(l) = l**2 + 8*l + 4. Calculate the remainder when f(-11) is divided by 10.
7
Suppose 4*c - 62 = -t, -203 = -3*t + c - 17. Calculate the remainder when 2788 is divided by t.
60
Let k(y) = -y**3 - 9*y + y**3 - 8*y**2 + 7 + y**3. Let u(f) = f**3 + 2*f**2 - 12*f + 24. Let v be u(-5). Calculate the remainder when 18 is divided by k(v).
4
Let n(j) = j**3 + j**2 + 179. Let q be n(0). Let g = q - 300. Let w = -5 - g. Calculate the remainder when w is divided by 30.
26
Let o be (-5 - -4 - 0) + 1. Let q(a) = 3*a**2 + 2*a - 3. Calculate the remainder when q(3) is divided by 4 - (-4 - (-3 - -6)) - o.
8
What is the remainder when 7*((-18)/(-24))/((-1)/(-20)) is divided by 23?
13
Let k = 1 - 12. Let h = k + 12. Let y(n) = 29*n. What is the remainder when y(h) is divided by 15?
14
Let x = -3 + 41. Let o = x - 34. Suppose -o*q + 8 = -124. What is the remainder when 63 is divided by q?
30
Suppose 2*o - 36 = -2*f + 4*f, 3*o - f - 56 = 0. Suppose y - 119*p = -115*p + 43, -98 = -2*y + 4*p. Calculate the remainder when y is divided by o.
17
Let r(n) = -2*n + 22. Let d be r(11). Suppose -h + 0*h = 2, 5*z - 3*h - 231 = d. Calculate the remainder when z is divided by 18 + 2/(2/(-2)).
13
Let s = 29 - 10. Let k = 37 - s. Suppose j = 2*j - k. Calculate the remainder when 71 is divided by j.
17
Let w be (2/(-3))/(2/(-609)). Suppose -9*d + w = -4. Let r(i) = -i**3 - 2*i**2 + 5*i - 6. Calculate the remainder when r(-5) is divided by d.
21
Let f(a) = -a**3 - 4*a**2 + 38*a - 11. What is the remainder when 101 is divided by f(-9)?
49
Let q(c) be the second derivative of -2*c**3/3 - 5*c. Let k be q(-1). Suppose k*h - 6*h + 58 = 0. Calculate the remainder when h is divided by 16.
13
Let l(c) = -27*c**2 + 176*c - 33. Suppose s + 12 - 27 = 0. What is the remainder when l(6) is divided by s?
6
Let w be (4 + 4 - 4) + 1. Suppose -w*t + 100 = -0*t - 5*b, -4*b - 64 = -3*t. What is the remainder when t is divided by 9?
7
Suppose 2*b - 109 - 149 = -5*f, -5*b = -2*f + 109. Let q(t) = 2*t**3 - 4*t**2 - t + 3. Calculate the remainder when f is divided by q(3).
16
Let z(m) = 4*m - 53. What is the remainder when 66 is divided by z(20)?
12
Suppose -64*m = -63*m - 19. Calculate the remainder when 44 is divided by m.
6
Let n(g) = 5 + 21*g - 19 - 49*g - 11. Calculate the remainder when n(-4) is divided by 30.
27
Let q(b) = 10*b + 3. What is the remainder when q(3) is divided by -6 - (-20 + -2 + 7)?
6
Let w be 3*3/(-9)*-1 - 1. Calculate the remainder when 62 is divided by 646/19 - (w + 0 - -2).
30
Suppose 0 = -3*o + 4*u + 259, -4*u + 296 = 2*o + 110. What is the remainder when o is divided by 23?
20
Let f(q) be the first derivative of q**3 - 5*q**2 - 8*q - 3. Let w be f(10). Let z = w + -71. What is the remainder when z is divided by 31?
28
Suppose b = 18 - 9. Suppose -5*f - k + 116 = 0, -4*k = f - 6*f + 111. What is the remainder when f is divided by b?
5
Suppose 4*h = -4*l + 120, 6*h - 9*h + 7*l = -50. Calculate the remainder when 120 is divided by h.
16
Let f(w) = 2*w**3 - 3*w**2 + w - 2. Let n be (-48)/(-22) - 2/11. Let p be f(n). Suppose p - 16 = -4*s. What is the remainder when s is divided by 3?
0
Suppose 3*a + 117 = 42*a. What is the remainder when 7 is divided by a?
1
Suppose -752 = -10*l + 698. Let s be -5*(-3 - -2) + -1. Calculate the remainder when l is divided by (-670)/(-18) - s/18.
34
Suppose -7*x + 4*x + 120 = 0. Suppose 2*a = x + 72. What is the remainder when a is divided by 15?
11
Let i = -87 + 90. Suppose -2*m + 39 = -i*t, 0 = -5*t - 10 - 5. What is the remainder when 70 is divided by m?
10
Let s be (-36)/(-16) - 2 - 213/(-12). Suppose 3*z - o - 18 = 2*z, s = z + 5*o. What is the remainder when 52 is divided by z?
16
What is the remainder when 7/28 + -3033*6/(-72) is divided by 22?
11
Suppose -r + 243 = r - 3*g, 3*r = -2*g + 371. Suppose -r + 55 = -2*y. What is the remainder when y is divided by 12?
10
Let d = -27745 - -27759. Let t(v) = 2*v**2 + 2*v - 7. Calculate the remainder when t(6) is divided by d.
7
Let j(b) = -b**2 - 2*b. Let m be j(0). Suppose -8*y + 248 = -m*y. Let q(k) = 3*k**2 + 4*k + 1. Calculate the remainder when y is divided by q(-3).
15
Suppose 4*w + g = -w + 126, -4*g - 42 = -w. Let l(u)