- 1. Calculate the remainder when l(5) is divided by d.
0
Suppose 5*c - f - 219 = 0, -3*c + c + 2*f + 94 = 0. What is the remainder when c is divided by 4/(-16) + 183/12?
13
Suppose -32 = -2*z - 4. Let l = 21 - z. Calculate the remainder when 19 is divided by l.
5
Suppose 94 + 2 = 3*y. What is the remainder when 85 is divided by ((-22)/8)/((-4)/y)?
19
Suppose -2*a = -3*t + 54, 3*t - 59 = 3*a + 4*t. Let z be 9/(-6) + a/2. What is the remainder when (-4)/(-6) - 652/z is divided by 19?
17
Let n(m) = 2*m**2 + m - 2. Let k = -40 + 116. Calculate the remainder when k is divided by n(-4).
24
Let b be 33/27 + (-6)/27. Let d(r) = -b + 3*r + 2 + 2*r + 1. Calculate the remainder when d(3) is divided by 6.
5
Let h(v) be the second derivative of -v**4/12 - 11*v**3/6 - 5*v**2/2 - v. Suppose -5*t + 2*t = 21. What is the remainder when 45 is divided by h(t)?
22
Suppose -5*r + 6*r - 90 = 5*j, 0 = -2*r + 2*j + 148. What is the remainder when r is divided by 25?
20
Suppose 2*v + 4 = 4*u, -u + 65 = 5*v + 4*u. What is the remainder when 12 is divided by v?
4
Let p be (-2)/((-3)/(0 + 6)). Let x be 1/(-2) - 9/(-2). Suppose -h - x*j = -20, 2*j - p = -5*h + 6*j. What is the remainder when h is divided by 2?
0
Suppose 0 = -5*s + 67 + 28. Calculate the remainder when 55 is divided by s.
17
Let w = -294 + 417. Calculate the remainder when w is divided by 32.
27
Let k be ((-12)/(-8))/(2/(-4)). Calculate the remainder when 3 + 18/k + 42 is divided by 21.
18
Let y = -94 + 131. Let a = 55 - 83. Let u = a + 41. Calculate the remainder when y is divided by u.
11
Let o be (-249)/(-27) + 4/(-18). Suppose y = a - 9 - o, -a + 3*y = -18. What is the remainder when 2 is divided by -3*2*(-3)/a?
0
Let n = -41 + 86. Let d = n + -31. What is the remainder when d is divided by 8?
6
Let u(z) = -z**2 - 2*z - 4. Let t be u(-3). Let g(a) = -3*a - 4. What is the remainder when g(t) is divided by 10?
7
Let g = 84 - 60. What is the remainder when g is divided by 10?
4
Suppose -5*m + 40 = -5*i, -4*m - i + 1 = -6. What is the remainder when 9 is divided by (-3 + 14/m)*3?
4
What is the remainder when 96 is divided by 30/(15/6 + 2/(-2))?
16
Let k(g) = -g + 15. What is the remainder when 53 is divided by k(7)?
5
Suppose 29 = 3*u + 4*p, -7 = -5*p - 27. Let t = 28 - u. Suppose 0 = 3*k + 2*k - 120. Calculate the remainder when k is divided by t.
11
Suppose 0 = -2*w - i + 4*i + 22, -3*w = 5*i + 5. Let h be -3 - ((-46)/(-2) - -1). Calculate the remainder when w is divided by (-18)/h*2*3.
1
Let c be (-2 + 0)/(7/(-14)). Suppose -c*x + 132 = 4*m, -16 = 3*m + m. Calculate the remainder when x is divided by 13.
11
Suppose 0 = 3*v - 6*v - 120. Let a = -20 - v. Let r(n) = -n + 13. Calculate the remainder when a is divided by r(6).
6
Let d be 6/9*15/2. Suppose d*o = -t + 29, -4*o = -4 - 8. What is the remainder when 41 is divided by t?
13
Let a be 1 + (0 - (-35)/1). Let x = -13 + a. Let o(m) = -m**2 - 5*m + 2. Calculate the remainder when x is divided by o(-3).
7
Suppose -5 = 3*q + 2*q - 5*w, -11 = q - 3*w. Suppose 0 = -v + 3*u + 26, 6*v = q*v - 3*u + 34. Calculate the remainder when 78 is divided by v.
18
Suppose 3*n + 67 = 5*l, -2*l + 3*l = 4*n + 10. Let z = 86 - 59. Calculate the remainder when z is divided by l.
13
What is the remainder when 64 is divided by 4/(-10) + 1656/115?
8
Let s = 32 - 23. Let z be (0 - -18)*15/s. Let o = -19 + z. Calculate the remainder when o is divided by 4.
3
Let a = 41 - 16. What is the remainder when a is divided by 7?
4
Let z = -7 + 11. Suppose 2*m + 5*x - 12 = -0*m, -z*m = 2*x - 56. Calculate the remainder when m is divided by 9.
7
Let h = -108 - -164. Suppose -x + h = -53. What is the remainder when x is divided by 28?
25
Let b(u) = u**2 - 6*u + 4. Let d be b(-6). Suppose c = -0*i + 4*i - 61, -4*i + 4*c = -d. Calculate the remainder when i is divided by 5.
4
Let j(k) = -k**3 - 3*k**2 - 4*k - 4. Let f be j(-5). Suppose -3*r + f = -0*r. What is the remainder when r is divided by 6?
4
Let j be (1 - 0/(-2)) + 2. What is the remainder when 1/6 - (-137)/6 is divided by (10 - 0) + -5 + j?
7
Let u = -3 + 10. What is the remainder when 14 is divided by u?
0
Suppose 0 = 4*b - b. Suppose -3*z = -z + 10, b = -k - 2*z - 4. Calculate the remainder when 21 is divided by k.
3
Suppose 40 = 2*h + 4. What is the remainder when 71 is divided by h?
17
Suppose 0 = 7*w - 2*w + 20. Calculate the remainder when 63 is divided by 5/20 - 63/w.
15
Suppose 2*i + i = 27. Calculate the remainder when i is divided by 6.
3
Let d be ((-2)/(-6))/((-3)/(-36)). What is the remainder when (86/d)/(2/4) is divided by 22?
21
Suppose 67 + 2 = 3*k. What is the remainder when k is divided by 9?
5
Let v = -2 - 77. Let w = -53 - v. Let l = 62 - w. What is the remainder when l is divided by 19?
17
Calculate the remainder when 55 is divided by 10/(-15) - (-258)/9.
27
Suppose 0 = -3*g - g + 64. Let r(c) = -60*c + 1. Calculate the remainder when r(-1) is divided by g.
13
Let g(w) = -w - 3. Let m be g(-3). What is the remainder when 62 is divided by m - (-7)/((-14)/(-32))?
14
Let x = -5 - -1. Calculate the remainder when (-32)/(-6) - x/6 is divided by 3 + (12/4)/3.
2
Let o(a) = a**3 - 8*a**2 + 8*a - 4. Let u be o(7). Suppose -4*d = -u*s - 286, -2*d + s + 45 = -97. Calculate the remainder when d is divided by 12.
10
Let w(i) = -14*i - 6. Let k be w(4). Let r = -17 - k. Suppose -4*b + 8 = 2*c, -c - 4*c = 3*b - 48. Calculate the remainder when r is divided by c.
9
Calculate the remainder when 47 + 0 + -1 + 2 is divided by 25.
23
Let i = 7 - -47. Let z = i + -26. Suppose 0*g = -g + z. Calculate the remainder when g is divided by 15.
13
Let y be (2/4)/((-8)/288). What is the remainder when 3 is divided by 24/y + 13/3?
0
Let d = -11 - -41. Calculate the remainder when d is divided by 11.
8
Suppose 3*t + 2 + 1 = 0, 3*j + 3*t - 75 = 0. What is the remainder when j is divided by 15?
11
Let c(f) = f**3 - 6*f**2 + 5*f + 8. Let q be c(6). Suppose 4*r = q + 10. Calculate the remainder when 21 is divided by r.
9
Let q = 1 + 28. Let r = -7 + 26. Suppose 2*w - 1 = r. What is the remainder when q is divided by w?
9
Let v(b) = b + 2. Let w be -2*(2 + -1) + 5. Suppose w*p + 4 = -p. Calculate the remainder when 2 is divided by v(p).
0
Suppose -3*w + w + 50 = 0. Calculate the remainder when w is divided by 7.
4
Let h = 13 + -7. Suppose -68 = -2*a + v, 6*a - 4*v = a + 176. Suppose -3*d + 16 = -a. Calculate the remainder when d is divided by h.
4
Let j(a) = 20*a**3 - a**2 + a - 1. Let v be 4/(-18) + (-11)/(-9). Let r be j(v). Suppose -67 - r = -2*x. Calculate the remainder when x is divided by 15.
13
Suppose 18*s - 16*s = 436. Calculate the remainder when s is divided by 11.
9
Suppose 6*u = 2*u + 72. Let s(t) = -t**3 - 15*t**2 + 16*t + 5. What is the remainder when u is divided by s(-16)?
3
Let b(z) be the second derivative of -4*z**3/3 - z**2/2 - 2*z. Let v be -2 - 2 - (0 + 0). Calculate the remainder when b(v) is divided by 8.
7
Let f = -1 - -12. Let n(j) = -j**2 - 5*j. What is the remainder when f is divided by n(-4)?
3
Let r(g) = g**2 + 5*g - 2. Let n be r(-5). Calculate the remainder when (4/2)/(n/(-3)) is divided by 2.
1
Let i = 31 - 22. Let m = i - 17. Calculate the remainder when ((-74)/m)/(3/12) is divided by 13.
11
Let b = -6 - -12. Suppose -j + b - 1 = 0. Calculate the remainder when 7 is divided by j.
2
Suppose -5*d - 2*h = -12 - 10, 0 = -5*d + 3*h + 17. Suppose -5*t - 4*m + 0*m = -155, -d*m + 47 = t. Calculate the remainder when t is divided by 7.
6
What is the remainder when 39 is divided by 15*((-2)/(-6) - -1)?
19
Suppose 4*c - 6*c + 48 = 0. What is the remainder when c is divided by 0 - 1/(1/(-13))?
11
Let b(y) = -4*y - 2. Suppose -1 = -3*v - 7. Calculate the remainder when b(v) is divided by 4.
2
Suppose -4*v + 136 = 5*r, v + 0*v = 2*r - 44. Calculate the remainder when 69 is divided by r.
21
Let h(g) = 4*g**2 - 3. Calculate the remainder when 51 is divided by h(2).
12
Let s be ((-7)/2)/((-10)/(-20)). Let p = s - -23. Let d = 109 + -63. What is the remainder when d is divided by p?
14
Suppose -2*w - 145 = -6*w + 3*i, 3*w + i = 99. What is the remainder when 168 is divided by w?
32
Let n(o) = -8*o + 2. Let a be n(3). Let j = a + 46. Calculate the remainder when (-2)/(-2*3/j) is divided by 5.
3
Suppose 0 = -13*o + 37 + 41. What i