1.
10
Let b(t) = 2*t + 15. Suppose 2*o - 3*c = -0*o + 26, 4*c = 0. What is the remainder when o is divided by b(-4)?
6
Let s(u) = 6*u**2 - 4*u + 2. Let y be s(2). Let o = 1 + 2. Suppose 2*t - 3*k + k - y = 0, -4*t = -o*k - 40. What is the remainder when 50 is divided by t?
11
Let f(o) = -4*o**3 - o**2 + o. Let n(z) = 3*z**3 + 2*z**2 - z. Let w(b) = 2*f(b) + 3*n(b). Calculate the remainder when 33 is divided by w(-3).
9
Suppose -478 = -3*d + 110. Suppose j - 2*j = 3*f - 127, 4*j = 4*f - d. Let c(v) = -v**2 + 7*v + 5. What is the remainder when f is divided by c(5)?
14
Let g(u) = u**3 - 5*u**2 - 5*u + 1. Let w be (-1 - (-8)/6)*0. Suppose w = 4*z - 20, -z - 7 = b - 3*z. Calculate the remainder when g(6) is divided by b.
1
Suppose 5*m + 4 - 34 = 0. Let g(y) = 4*y - 17. Calculate the remainder when g(8) is divided by m.
3
Suppose 5 = -2*h + 19. What is the remainder when 13 is divided by h?
6
Let c(m) = -4*m - 5. Let l be ((-5)/2)/(1/(-6)). Suppose -n = -l - 5. What is the remainder when n is divided by c(-4)?
9
Let k = -21 - -27. Calculate the remainder when 23 is divided by k.
5
Let w(y) = 9*y - 19. What is the remainder when w(6) is divided by 6?
5
Let r = -16 + 47. What is the remainder when 152 is divided by r?
28
Let f(d) = 2*d - 1. What is the remainder when f(7) is divided by 5?
3
Let u = -32 - -46. What is the remainder when u is divided by 3?
2
Suppose -2*i - 3*h = -48, 2*i + h - 76 = -2*i. Calculate the remainder when i is divided by (-2)/(-3)*15*1.
8
Calculate the remainder when ((-4)/(-2))/((-6)/(-48)) is divided by 6.
4
Suppose -76 = -3*n + 2*x, 3*n - 28 = 2*n - 2*x. Calculate the remainder when n is divided by 9.
8
What is the remainder when 19 is divided by (30/21)/(5/35)?
9
Let k = -1 - -3. Suppose 5*b = -20, 16 = 5*s - 5*b - 34. Suppose -m = -k, 3*m - 26 = 4*n - s*n. Calculate the remainder when 19 is divided by n.
9
Calculate the remainder when 113 is divided by (-2)/6 + 528/18.
26
Suppose a - 40 = -5*p - 7, -3*p = -4*a + 17. What is the remainder when a is divided by 10 + -1 - 3 - 3?
2
Let l(j) = j - 3. Let t be l(0). Let m = t - -7. Suppose m*h + 16 = 8*h. What is the remainder when 10 is divided by h?
2
Let k(h) = h**3 + 6*h**2 + h. Let l(m) = -m**3 - 6*m**2 - m. Let p(y) = -6*k(y) - 5*l(y). Calculate the remainder when 10 is divided by p(-6).
4
Let w(l) = -l**3 - 9*l**2 - 8*l + 6. Calculate the remainder when 23 is divided by w(-8).
5
Let z be (0 - -2) + -2 + 4. Calculate the remainder when (6/z)/((-3)/(-6)) is divided by 2.
1
Suppose 69 = -6*k + 7*k. Calculate the remainder when k is divided by 18.
15
Let x(n) be the first derivative of n**4/4 + 5*n**3/3 - 5*n**2/2 - 2*n + 3. Calculate the remainder when x(-4) is divided by 12.
10
Let r be (1 + -13)*(-1)/2. What is the remainder when 46 is divided by (16/r)/((-18)/(-81))?
10
Let l = 1 - 2. Let a = 7 - l. Let h = 17 + -14. What is the remainder when a is divided by h?
2
Let c(f) = 2*f - 3 + 5 - 3*f. Let v be c(-3). Suppose -15 = v*j - 4*l - 156, l = -5*j + 146. What is the remainder when j is divided by 15?
14
Suppose 690 = 7*h - 2*h. Let l be 6/9*h/4. Suppose i + 0*i - l = 0. What is the remainder when i is divided by 12?
11
Let z(t) = -2*t**3 - 5*t**2 - 6*t - 1. Suppose k + 4 = 5*k. Let i(r) = -3*r**3 - r. Let p be i(k). What is the remainder when z(p) is divided by 24?
23
Let x(w) = w**3 - 4*w**2 - 2*w - 7. Let u = 91 - 78. What is the remainder when u is divided by x(5)?
5
Let j(u) = u**3 + 2*u**2 + u + 11. What is the remainder when j(4) is divided by 19?
16
Suppose -2*x - 2*x - 20 = 0, 0 = -2*c - 4*x + 96. What is the remainder when c is divided by 20?
18
What is the remainder when (6/2)/((-2)/(-44)) is divided by 23?
20
Let s = -3 - -5. Let j = 23 - s. What is the remainder when 62 is divided by j?
20
Let i(t) = t**2 - 2*t - 8. Let v(z) = -z**2 + 5*z + 5. Calculate the remainder when i(6) is divided by v(4).
7
Calculate the remainder when (-20)/(-6)*108/3 is divided by 31.
27
Let f(d) = d + 10. Let t = 10 + -17. Let u(v) = v**3 + 7*v**2 - v + 2. Calculate the remainder when f(7) is divided by u(t).
8
Suppose 7*q = -9 + 51. What is the remainder when 34 is divided by q?
4
Let d(b) = 25 + 4*b - 20 + 3*b**2 - 2*b**2. Calculate the remainder when d(-5) is divided by 4.
2
Let h = 63 + -52. What is the remainder when 48 is divided by h?
4
What is the remainder when 15/25 + (-647)/(-5) is divided by 22?
20
Let l(n) = -n**3 + n**2 + 4*n - 1. What is the remainder when l(-3) is divided by 8?
7
Suppose 0 = -v + 4 + 3. Suppose -2*i - 34 = -2*t, 0 = -3*i - 2 - v. Let b = t + -10. Calculate the remainder when 11 is divided by b.
3
Let d(i) = -i + 3. Suppose -2*j + 3*j = 0. Let k be d(j). Suppose k*z - 22 = 11. Calculate the remainder when 21 is divided by z.
10
Suppose 5*z - 253 + 3 = 0. Calculate the remainder when 248 is divided by z.
48
Let v = -90 + 208. Suppose -4*u = -31 - 89. Calculate the remainder when v is divided by u.
28
Suppose j + 3 = -3. Let h be ((-16)/j)/((-4)/(-6)). Suppose u = h*u - 33. What is the remainder when 31 is divided by u?
9
Let r be (6 - 3/1) + -3. Let f(d) = d + 3 + 0*d + 0 + r*d. What is the remainder when 27 is divided by f(4)?
6
Suppose -555 = -9*p + 4*p. Suppose 4*n - p = n. What is the remainder when n is divided by 20?
17
Suppose 0 = 3*g + 5*h - 40, -4 = -g + 4*h - 2. Calculate the remainder when 58 is divided by g.
8
Suppose -4*g + 31 = -3*g. What is the remainder when g is divided by 17?
14
Let t = 36 + -32. Calculate the remainder when t is divided by 2.
0
Let o = -95 + 44. Let n = 85 + o. Suppose 53 = 5*z + c, 0 = 2*z + 2*z - 2*c - n. Calculate the remainder when z is divided by 6.
4
Suppose -3*r + 124 = 5*q - 17, -q + 27 = r. Suppose -5*v - c = 120, 5*c + 15 = -v - 9. Let h = v - -40. Calculate the remainder when q is divided by h.
14
Suppose 5*x - 2*x = 4*v + 11, -x - 11 = -5*v. Calculate the remainder when 10 is divided by x.
1
Suppose -1 = -2*r + 7. Let h = 10 + 3. Calculate the remainder when h is divided by (-27)/(-4) - (-1)/r.
6
Let c(n) = 3*n**2 - 3*n + 3. Let w(f) = f + 9. Let h be w(-5). Let x = h - 2. What is the remainder when 25 is divided by c(x)?
7
Suppose 2*p - 286 = -5*i, -2*i + 2*p + 18 = -102. Let h be 9/24*-2*8. Calculate the remainder when i is divided by 99/5 - h/30.
18
Suppose -4*c + 101 = 1. Suppose v - 29 = 5*j, 0*j - c = -2*v - j. Suppose 2*q - 70 = 2*m, 4*q + q - 2*m - 190 = 0. What is the remainder when q is divided by v?
12
Suppose -46 = -4*z + 202. What is the remainder when z is divided by 18?
8
Suppose 3*b - 7 = 56. Let x(s) = 3*s + 73. What is the remainder when x(3) is divided by b?
19
Calculate the remainder when 3 + (84/10)/((-14)/(-105)) is divided by 17.
15
Let d = 640 + -431. Suppose -54 + d = 5*h. Calculate the remainder when h is divided by 11.
9
Let j = 7 - 3. Suppose -j*t + 0 + 16 = 0. What is the remainder when 6 is divided by t?
2
Let h(j) = j**2 + 10*j + 14. What is the remainder when h(-10) is divided by -1*1*(-12)/3?
2
Let i(o) = 10*o**2 - o. Let u = -5 + 11. Calculate the remainder when i(-1) is divided by u.
5
Let x(j) = j**3 + 7*j**2 + 6*j + 6. What is the remainder when x(-6) is divided by 2?
0
Suppose 3*l + 12 = 4*l. Calculate the remainder when 34 is divided by l.
10
Let d = 10 + -9. Let z = -1 + 2. What is the remainder when d is divided by z?
0
Suppose -4*y + 4 = 2*x + 2, 5*x + 2*y = 21. Suppose -x = 20*n - 21*n. Calculate the remainder when 24 is divided by n.
4
Suppose 0 = -4*a - 44 + 4. Let x be (-34)/6 + a/(-15). Let u(n) = -n**3 - 5*n**2 - n + 3. What is the remainder when 13 is divided by u(x)?
5
Let v(d) = d**3 + 4*d**2 + 5*d + 3. Let u = -9 - -6. Let m be v(u). Calculate the remainder when (-2 + -2 + 1)*m is divided by 5.
4
Let w = 3 + 1. Suppose 10 = -t + 2*t. Calculate the remainder when t is divided by w.
2
Calculate the remainder when 3 + -3 + 22 + -3 is divided by 7.
5
What is the remainder when 118/(-4)*(-1 + -1) is divided by 15?
14
Let y = -7 + 2. Let x(c) = 2*c**2 + 7*c + 1. What is the remainder when x(y) is divided by 9?
7
Suppose 2*m + 4 = 2. Let n(a) = 20*a**2 - a - 1. What is the remainder when ((-2)/5)/((-2)/290) is divided by n(m)?
18
Suppose -2*k + 0*b - 2*b = -20, 3*k - 5*b = 30. Let n be 6/15 + 16/k. Suppose -n*s + 4*s - 16 = 0. What is the remainder when