
15
Suppose 0 = -4*l + y + 486, -5*l = -y - 4*y - 600. Let s(j) = -j**3 + 13*j**2 - 30*j + 31. Calculate the remainder when l is divided by s(10).
29
Suppose -2*f + 195 = 11*f. Suppose -3*l = l - 16. Calculate the remainder when f is divided by l.
3
Let c(z) = 46*z. Suppose 5*d + x - 4 = 1, 4*x = 0. Calculate the remainder when c(d) is divided by 12.
10
Suppose -5*h = -h. Suppose -6*r = -2*r + 2*j - 72, -r - j + 17 = h. Calculate the remainder when r is divided by 5.
4
Let d(w) be the first derivative of -5*w**4/4 - 2*w**3/3 + w**2 - 2. Calculate the remainder when d(-2) is divided by (-2)/(0 + -2) + 9.
8
Suppose 3*r + 4*y - 169 = 0, 31 = r - 6*y + y. Let l = -7 - -33. Calculate the remainder when r is divided by l.
25
Suppose 3*a + 10 + 2 = 0, -4*h + 212 = -2*a. What is the remainder when h is divided by 26?
25
What is the remainder when 52 is divided by ((-4)/18)/(-1) + 427/63?
3
Let l be (-3)/2 - (-3)/2. Let p be ((-98)/4)/((-2)/4). Suppose -2*a = l, -5*h - a + 144 - p = 0. What is the remainder when 55 is divided by h?
17
Suppose 824 + 1981 = 33*s. Let x = -55 + 77. What is the remainder when s is divided by x?
19
Suppose 4*c - 4*b = 344, -3*c + 262 = -b + 2*b. Let x = -49 + c. Let n = 82 - x. What is the remainder when n is divided by 23?
21
Let v = -5 - -5. Suppose -4*d + 16 = -v*d. Calculate the remainder when d is divided by 2.
0
Let g = 15 - -8. What is the remainder when g is divided by 14?
9
Let v(q) = 4*q + 2. Let a be v(-3). Let w = a - -30. Suppose 0*c + 4*c - 44 = 0. Calculate the remainder when w is divided by c.
9
What is the remainder when 3/(-5 - -11)*196 is divided by 34?
30
Let f = 74 + -44. Suppose -5*n + 74 = 4*u, -5*u - 21 = n - 103. What is the remainder when f is divided by u?
14
Let y(m) = 17*m + 2. Let r be -14 + (0 - 1/1). Let i = -2 - r. What is the remainder when y(2) is divided by i?
10
Let a = -51 + 68. What is the remainder when a is divided by 6?
5
Let i be 1 - (230/5 - 3). Let l(z) = z**2 + 3*z + 5. What is the remainder when l(-6) is divided by 4/(-10) + i/(-5)?
7
What is the remainder when 30 is divided by ((-3)/4)/(3/(-36))?
3
Let q be (2/(-4))/((-5)/20). Suppose -6*f + 64 = -q*f. What is the remainder when f is divided by 6?
4
Let j be (1 - -17)*(-60)/9. What is the remainder when (0 - (-6)/(-8))/((-1)/68) is divided by 2/(-6) + j/(-9)?
12
Let z be -23 + 3/(-1 - -4). Let v = z - -41. Calculate the remainder when v is divided by 10.
9
Let x(u) = 6 + 5*u - 5*u + 4*u. Suppose -3*w + 4*w - 3*m = 0, 3*w = m + 24. Calculate the remainder when x(5) is divided by w.
8
Let r = -8 + 16. What is the remainder when 30 is divided by r?
6
Let h(p) = 6*p**2 - p. Suppose -4*f = -w - 6, 5 - 4 = 5*f + 2*w. Let d be h(f). Suppose 2*k = d*k - 9. What is the remainder when 11 is divided by k?
2
Suppose 0 = -a + 3*a - 40. Let l(k) = k - k + 37*k**2 + 0 + 1. Calculate the remainder when l(-1) is divided by a.
18
Let j be (3/(-1))/((-6)/10). Suppose 0*p + 3 = -4*p - 3*o, -j*o = -p + 28. Calculate the remainder when 11 is divided by p.
2
Suppose -28 + 7 = -3*m. Suppose 0 = 5*b - 8 - m. Suppose 0 = -2*k - 5*z + 109 - 5, -b*z = 0. What is the remainder when k is divided by 18?
16
Suppose -5*c = 5*k + 165, 2*k - 4*c + 45 = 9. Let b = -25 + 17. What is the remainder when 28 is divided by k/(-3) + b/(-12)?
8
Let b(a) = a**3 + 7*a**2 - 2*a + 4. Suppose 5*x - 2*k = 168, 5*x - 7 = -k + 164. Calculate the remainder when x is divided by b(-7).
16
Let p(n) = n**2 - 3*n - 5. Let d = -4 - -9. What is the remainder when 12 is divided by p(d)?
2
Suppose 4*j - 4 = 0, -2*j - 7 = -4*u + 7. Calculate the remainder when 14 is divided by u.
2
Suppose 3*k = -2*k + 110. Suppose 0 = 3*z + 15, -5*v + 0*v - z = 0. What is the remainder when k is divided by (-3)/v - (-15)/1?
10
Calculate the remainder when 28 is divided by -20*(-3)/(-12)*-2.
8
Let b = -17 - -13. Calculate the remainder when 43 is divided by 21 + (4/b)/(-1).
21
Suppose -3*h + 20 = -7*h. Let k(p) be the second derivative of p**4/12 + p**3/2 - p**2/2 - 3*p. What is the remainder when 34 is divided by k(h)?
7
Let n(c) = c**2 + 4*c - 1. Suppose -2*a + 27 = -5*f, -a - 3*f + 30 = -0*f. Calculate the remainder when a is divided by n(-6).
10
Let s = 42 - 38. What is the remainder when 12 is divided by s?
0
Suppose -7*t + 36 = -4*t. Let j(m) = 4*m**3 + m. Calculate the remainder when j(2) is divided by t.
10
Let m = 261 + -259. Calculate the remainder when 34/6 + 1/3 is divided by m.
0
Let r be 12*1*(-114)/(-24). Let l = 106 - r. What is the remainder when l is divided by 17?
15
Suppose 7*c - 45 = 4*c. Suppose 409 = 5*v + 124. Calculate the remainder when v is divided by c.
12
Let q be (2/(-4))/((-2)/172). Suppose 2*m - 3*x - q = 0, 3*m = -x - 2*x + 72. Calculate the remainder when m is divided by 12.
11
Let l be 60/(-27) + (-2)/(-9). Let x be (-57)/l - (-9)/6. Suppose -4*s - 2*q + q + x = 0, 22 = 4*s - 3*q. What is the remainder when 12 is divided by s?
5
Let k = 35 + -26. Suppose -4 = 4*n - 5*n. Suppose -n*i - 16 = -5*i. What is the remainder when i is divided by k?
7
Let t = 171 - 161. What is the remainder when 45 is divided by t?
5
Let h(t) be the first derivative of t**3/3 - 3*t**2 + 5*t - 1. What is the remainder when 35 is divided by h(7)?
11
Suppose -5*c = 3*o - 40, 3*o - 25 = c - 3*c. Suppose -2*l + c = 3*l, f + l = 7. What is the remainder when (f/(-4))/(6/(-152)) is divided by 13?
12
Let c be (0 + (-14)/(-4))*2. Let m = c - 6. What is the remainder when m is divided by 1?
0
Suppose 4*b = 8*b - 56. What is the remainder when 25 is divided by b?
11
Let i be (-16)/(-24) + 28/3. What is the remainder when (-372)/(-20) - 6/i is divided by (-6)/(-4)*20/3?
8
Let b(o) = -o**3 + 11*o**2 + 15*o - 1. Calculate the remainder when b(12) is divided by 28.
7
Suppose -44 = -2*s + 5*r, -4*s + 7*s - 5*r = 56. Calculate the remainder when 47 is divided by s.
11
Let c(q) = -3 - 1 + q + 4*q**3 - 5*q**2 - 3*q**3. Let s = 2 + -1. What is the remainder when c(5) is divided by s?
0
Let m(f) = 22*f**2. Let y be m(1). Suppose -4*k + y = -2*k. Suppose -w + k = b, 0 = -w - w. What is the remainder when 30 is divided by b?
8
Let t(k) = k**2 - 1. Let h be t(2). Suppose -h*j = 3*q - 6, 4*j - 2*q + 19 = 3*q. What is the remainder when (-52)/j*(-4)/(-8) is divided by 7?
5
Let x be (-5 - -2) + -3 - -2. What is the remainder when 260/25 - x/(-10) is divided by 3?
1
Suppose d + 12*d = 234. Calculate the remainder when d is divided by (-66)/(-10) + 4/10.
4
Let k = -15 + 17. Suppose k*g - 31 - 3 = 0. What is the remainder when g is divided by 9?
8
Let v(f) be the first derivative of f**4/24 + 2*f**3/3 - f**2 - 2. Let h(s) be the second derivative of v(s). What is the remainder when 18 is divided by h(6)?
8
Suppose 0 = 2*n - 7 - 13. Let b(u) = -u + 16. Let r be b(0). Suppose 2*i - r - 20 = 0. What is the remainder when i is divided by n?
8
Suppose -f + 4*b = -13, 0 = -f - 5*b + 2*b + 34. What is the remainder when 272 is divided by f?
22
Let u be (2*-3 + -2)/(-2). Suppose -r + u*r = 15. Let b = r + 5. Calculate the remainder when b is divided by 4.
2
Let n = 0 + -2. Let y be 9/6 - 1/n. Suppose y*w = 3 + 7. Calculate the remainder when 17 is divided by w.
2
Let q be ((-2)/4)/(2/(-8)). Suppose f - q*f + x + 24 = 0, -123 = -4*f - 5*x. Calculate the remainder when f is divided by 7.
6
Suppose 2*k - 3 = 1. Let d(y) = -7*y - 3. Let i be d(-3). Suppose -k*n + i = -z - z, n + 3 = 5*z. What is the remainder when 34 is divided by n?
10
Let n(l) = l**3 - 2*l**2 + 3*l - 10. Calculate the remainder when n(5) is divided by 22.
14
Let f(c) = -16*c + 2. Suppose 0 = z + 3, -84 = -5*t - 3*z + z. Calculate the remainder when f(-2) is divided by t.
16
Suppose -4*v = -n + 35, 4*v - 94 + 0 = -2*n. What is the remainder when 84 is divided by n?
41
Let h be (-180)/(-21)*(-49)/(-2). Suppose -h = -4*s - s. Calculate the remainder when s is divided by 22.
20
Let h = 30 - 26. What is the remainder when 18 is divided by h?
2
Let p(f) = 3*f**3 - 4*f**2 + 4*f - 2. Let j(q) be the first derivative of -q**2 - 2. What is the remainder when p(2) is divided by j(-4)?
6
Let d be (-270)/(-4) - (-3)/6. Suppose 4*s - d = -4*v, 2*v + 28 = 4*v - 4*s. What is the remainder when 47 is divided by v?
15
What is the remainder when 226 is divided by (-12)/9*342/(-12)?