s divided by 6.
4
Suppose -5*t + 2*n = -7 - 18, n = 0. Calculate the remainder when 23 is divided by t.
3
Let p be 92/(-6)*(-9)/6. Suppose 0 = -w + 36 - 3. Let y = w - p. Calculate the remainder when 29 is divided by y.
9
Let u(g) = g**3 - 2*g**2 - g - 6. Calculate the remainder when u(5) is divided by 11.
9
Suppose -21 + 101 = 5*j. What is the remainder when 1*((29 - 0) + 1) is divided by j?
14
Let n = 18 - 16. Suppose 5*c = 4*w, -4*w - 3 = -n*c - 15. Let q(d) = d**3 - d**2 + 2*d + 1. Calculate the remainder when q(2) is divided by c.
1
Suppose 3*c - 39 = -r - 2, -r - 18 = -2*c. Let j(y) = y - 2. What is the remainder when c is divided by j(6)?
3
Let l(h) = -2*h + 3. Calculate the remainder when 1/4 + (-1125)/(-60) is divided by l(-2).
5
Let u(q) = -q**3 - q**2 - 5*q - 1. Let i(r) = -5*r - 3. Calculate the remainder when u(-3) is divided by i(-2).
4
Suppose 34*l + 24 = 36*l. What is the remainder when l is divided by 8?
4
Let l(c) = -c**2 - 3*c + 3. Let h be l(-4). Let g = h + 1. Suppose -4*m + 52 = -g*m. Calculate the remainder when 37 is divided by m.
11
Suppose 0 = -g + 2*z - 8, -g + 2*z = -6*g + 20. Suppose -28 - g = 5*v. What is the remainder when (-192)/(-14) - v/21 is divided by 8?
6
Suppose -63*s + 60*s + 261 = 0. Calculate the remainder when s is divided by 22.
21
Suppose 0*y = 2*y - 10. Suppose y*q = 10 + 10. Suppose -4*r = -0*r - 12, -5*t = -q*r - 43. What is the remainder when 32 is divided by t?
10
Let d = 6 + -5. Suppose d = 4*f - 3*f. Let g = f + 3. What is the remainder when 9 is divided by g?
1
Suppose -8*u + 104 = -4*u. Suppose -3*i + i = -u. Suppose 3*y + 152 = 7*y. Calculate the remainder when y is divided by i.
12
Let f = 45 + 9. Suppose f = 4*u - 2*z, 4*u - 3*z - 50 = 5. Let s = -23 + 27. Calculate the remainder when u is divided by s.
1
Suppose 4*p = 3*d + 40 + 37, -2*p + 56 = 2*d. Let s(o) = o**2 - 3. Calculate the remainder when p is divided by s(-4).
10
Suppose t - 7*t = -492. Calculate the remainder when t is divided by 28.
26
Suppose -5*b + 5 = 0, 2*b = 2*l - 4 - 70. What is the remainder when l is divided by 10?
8
Suppose 30*w - 25*w - 545 = 0. What is the remainder when w is divided by 28?
25
Let c = -45 - -78. Let r = -12 + 21. Calculate the remainder when c is divided by r.
6
Let w = 43 + -14. Calculate the remainder when 115 is divided by w.
28
Let c(l) = 2*l**2 + 3*l - 1. Let d be c(3). Suppose -j = -5*j + 64. Let w = d - j. What is the remainder when 18 is divided by w?
8
Let c(l) = -l**2 + 23. Let j = 9 + -5. What is the remainder when c(0) is divided by (9/j)/(9/24)?
5
Suppose -156 = -4*l + l. Let c(s) = s**2 + s. Let n be c(1). What is the remainder when l is divided by (-52)/(-3) - n/(-3)?
16
Suppose -27*c + 242 = -16*c. What is the remainder when c is divided by 8/1 - (1 - 1)?
6
Let b = 41 - 28. Suppose 4*r = 3*r - 3*g - 11, -2*r + g = -b. Calculate the remainder when 14 is divided by r.
2
Let c(u) be the third derivative of -u**5/60 - 11*u**4/24 + 11*u**3/6 - 3*u**2. Calculate the remainder when c(-10) is divided by 8.
5
Suppose 4*g - 68 = -c, -56 = -3*g - 4*c + 2*c. Suppose 5*i + g = 126. Let p = 15 + -7. Calculate the remainder when i is divided by p.
6
Let q be (-200)/(-14) - 4/14. Suppose 4*z - 26 - q = 0. What is the remainder when 9 - 63/(-7 + 0) is divided by z?
8
Let h = 94 - 52. What is the remainder when h is divided by 55*1*(-2)/(-5)?
20
Suppose -33 = -f - 5*p, 0*f + p = -5*f + 117. What is the remainder when 114 is divided by f?
22
What is the remainder when 39 - (-2)/(-4)*0 is divided by 10?
9
Suppose 7*g = 5*g + 8. Let y(b) = -b**2 + 6*b - 6. What is the remainder when 5 is divided by y(g)?
1
Let c(w) = w**3 + 18*w**2 - 2*w - 35. Calculate the remainder when 3 is divided by c(-18).
0
Suppose g - 3*u - 8 = 0, 4*g - 3*u = -0*u + 14. Suppose -2*a + 0*a + 4 = 0. What is the remainder when g is divided by a?
0
Suppose 2*q = 7 + 1. What is the remainder when 7 is divided by 12/2 - (q - 3)?
2
Let i(o) = 6*o**2 - 3*o - 4. What is the remainder when i(-3) is divided by 31?
28
Let s(u) = 2*u**2 - 2*u. Let k be s(-4). Let x = -5 - -5. Suppose 4*f - 5*c - 40 = x, 4*f + 2*c - k = -0*f. Calculate the remainder when f is divided by 6.
4
Suppose 7*d - d = 42. Calculate the remainder when d is divided by 2.
1
Calculate the remainder when 404/16 - 1/4 is divided by 14.
11
Let s = 48 + -15. Let k be (-714)/(-78) + (-4)/26. Let d(m) = m**3 - 10*m**2 + 11*m - 6. What is the remainder when s is divided by d(k)?
9
Suppose 19 = 8*m - 85. What is the remainder when 48 is divided by m?
9
Let r(q) = 12*q - 2*q**2 + 3*q**2 + 8 - 5*q. Let z = -2 - -8. What is the remainder when r(-8) is divided by z?
4
Let n(p) = -p**2 + p + 6. Let c be n(5). Let h = -6 - c. What is the remainder when 22 is divided by h?
6
Let h(v) = -3 + 1 + 15*v - 14*v. Calculate the remainder when 4 is divided by h(4).
0
Suppose -14*f + 54 = -5*f. Suppose -3*y = x + 2*y - 8, -3 = y. What is the remainder when x is divided by f?
5
Let g(k) be the first derivative of k**2/2 + 11*k - 1. What is the remainder when 4 is divided by g(-7)?
0
Let b(w) = 10*w - 12. Calculate the remainder when b(5) is divided by (-5)/2*(0 + -8).
18
Let r = 62 + 2. Calculate the remainder when r is divided by 17.
13
Let y(o) = -3*o + 4*o**2 - o + 3*o - 3*o**2 + 7. Calculate the remainder when 18 is divided by y(0).
4
Let k = -103 + 219. Calculate the remainder when k is divided by 30.
26
Let m(p) = 4*p**2 + 6*p + 5. Calculate the remainder when 17 is divided by m(-2).
8
Let w = 4 - 2. Suppose -11*x - 4*x = -60. Calculate the remainder when x is divided by w.
0
Suppose -3*f + 3*o + 14 = -13, 3*o + 6 = 0. Let m = f + 2. Let z = -32 - -48. Calculate the remainder when z is divided by m.
7
Let k be 1/((-3)/27*-1). Let o = 0 + 2. Suppose 3*u + k = 0, 0 = o*p + u - 4*u - 13. What is the remainder when p is divided by 2?
0
Let c be 46/14 + (-4)/14. Suppose -o = -13 - c. Let h = o + -8. Calculate the remainder when h is divided by 5.
3
Let a(v) = -v**2 + 9*v + 6. Let o be a(8). Suppose -r + 0*r = -o. Calculate the remainder when 4/(-1*(-2)/20) is divided by r.
12
Let r(h) be the first derivative of h**4/4 - 2*h**3/3 + h**2/2 - 4*h + 6. Calculate the remainder when r(3) is divided by 5.
3
Suppose -m - v + 105 = 0, -2*m + 5*v + 188 = -8. What is the remainder when m is divided by 18?
13
Calculate the remainder when (112/6 - -2) + (-1)/(-3) is divided by (12/5)/(1/5).
9
Suppose 0 = -5*a + 4*z + 310, -2*a - 2*z = -87 - 19. What is the remainder when 81 is divided by 1/3*(5 + a)?
18
Let p = -35 - -72. What is the remainder when p is divided by 13?
11
Let h(r) = 3*r**2 + 6*r - 17. Calculate the remainder when h(-5) is divided by 10.
8
Suppose 0 = 5*u + 34 + 36. What is the remainder when 50 is divided by (-56)/u - (-13)/1?
16
Suppose 18*w = 19*w + 5. Let f(c) be the second derivative of -c**5/20 - c**4/4 + 7*c**3/6 + 5*c**2/2 - c. What is the remainder when f(w) is divided by 7?
6
Suppose w = -5*k + 5*w + 316, -5*k = w - 296. Let o be 63/12*2*2. Suppose -3*n - o = -k. Calculate the remainder when 25 is divided by n.
12
Suppose 4*y - 90 = 5*h, 3*h = -2*h + y - 105. Let r = h + 32. Calculate the remainder when 16 is divided by r.
6
Suppose -140*k + 139*k = -20. What is the remainder when k is divided by 12?
8
What is the remainder when 69 is divided by (13 + 2 - 3)*2?
21
Suppose 5*a - 169 = 4*n, 72 + 25 = 3*a + 2*n. Let x be (8 - 7)*3/1. Suppose -x*v = -15 - 21. Calculate the remainder when a is divided by v.
9
Suppose -65 = -5*l - 2*n, -20 = 3*n + n. What is the remainder when 36 is divided by l?
6
Let n be (-1 + -3 + -2)*18. Let q = -67 - n. Calculate the remainder when q is divided by 14.
13
What is the remainder when (-29)/2*(2 - 4) is divided by (4/6*15)/1?
9
Suppose -3*h + 2*j = -2*j - 152, 4*h - j - 194 = 0. Calculate the remainder when h is divided by 13.
9
Suppose -t = -3*q - q + 73, -3*q - 3*t = -66. Suppose 2*o - 200 = -2*o - 5*c, o - 4*c - 71 = 0. Calculate the remainder when o is divided by q.
17
Suppose -6*f + 6 = -3*f + a, 0 = 2*f - a - 4. Suppose -f*c - 8 = -4*c. Let s(i) = -3*i. What is the remainder when s(-2) is divided by c?
2
Calculate the remainder when 3 + (-44)/14 - 548/(-14) is divided by 15 + -1 - (1 + -1).
11
Suppose 113 - 38 = 3*b. Calculate the remainder w