-971 + 988. Calculate the remainder when 54 is divided by n.
3
Suppose 2188 = 10*f + 288. Calculate the remainder when f is divided by 42.
22
Let w(p) = p**3 + 22*p**2 + 24*p - 70. What is the remainder when w(-20) is divided by 36?
34
Suppose 2*t - 3 = -7, 5*y - 4*t - 33 = 0. What is the remainder when (5 - 5)/((-3)/(-1)) + 29 is divided by y?
4
Let v(i) = i**2 - 2*i + 25. Suppose -2*k = 4*l + 2, 0 = -4*l - 4*k - 4. What is the remainder when 97 is divided by v(l)?
22
Suppose -40*r = -46*r + 204. What is the remainder when 82 is divided by r?
14
Let h(i) = 78*i - 981. Suppose -5*j + 2*j - c = -296, 2*j = -c + 199. Calculate the remainder when j is divided by h(13).
31
Let a = 290 - 288. What is the remainder when 12 is divided by a?
0
What is the remainder when 606 is divided by (23 - 20)*2*(-29)/(-2)?
84
Suppose -162 = -5*i - 32. Calculate the remainder when 77 is divided by i.
25
Let b(m) be the first derivative of m**4/4 + 3*m**3 - m**2 + 2*m - 2. Let z be ((-54)/(-15))/(6/10 - 1). What is the remainder when 37 is divided by b(z)?
17
Let f(o) = -o + 10. What is the remainder when f(3) is divided by 231/45 - (-12)/(-90)?
2
Let h be (9/4)/(4/(-144)). Let f = h + 87. Suppose -5*w - 19 = 2*y, -3*w + 1 = y + 13. Calculate the remainder when f is divided by y.
0
Suppose 207 = 6*x - 3*x. Let q(v) = v**2 + 1. Let o(g) = -g**3 + 2*g**2 + g - 2. Let n(d) = o(d) + 2*q(d). Calculate the remainder when x is divided by n(3).
9
Let b be 126 + (0 - 2) + -1. Let d = 214 + -200. Calculate the remainder when 2/(-3)*b/(-2) is divided by d.
13
Let s be 22/10 + -2 + (-2439)/(-5). Suppose 0 = 5*f + 5*x - s + 13, -4*x - 348 = -4*f. What is the remainder when f is divided by 23?
22
Suppose 3*c - 5 = 7. Suppose -c*s + 0*s + 156 = 0. What is the remainder when s is divided by 10?
9
Suppose 4*f + r + 86 = 691, f - 135 = 3*r. What is the remainder when f is divided by 55?
40
Suppose 2*g = -g + 15. Suppose g*d = 16 + 4, 4*d - 18 = -u. Calculate the remainder when (-1)/u*(-4 - 122) is divided by 22.
19
Let p = 55 - 20. Suppose 0*b - b + 20 = 4*h, 20 = 3*b + 4*h. Suppose 2*f + 43 = 5*d, b*f + 2*f = -3*d + 29. Calculate the remainder when p is divided by d.
8
Calculate the remainder when ((-720)/50)/((-3)/15) is divided by 15.
12
Let d(a) = a**3 + a**2 + a + 22. Let l be 0/((-3)/(-12)*4). What is the remainder when d(l) is divided by 4?
2
Let q(h) = h**2 + 3*h - 6. Let p be q(-9). Let z = p - -12. Calculate the remainder when z is divided by 21.
18
Suppose -5*p = 2*c - 85, -45*c + 46*c = -4*p + 68. Calculate the remainder when 436 is divided by p.
11
Let s(t) = -t + 6. Suppose -4*u + 2*r = -8, 0 = 5*u + r - 10. Suppose -u*d = -5*d + 6. Calculate the remainder when s(0) is divided by d.
0
Suppose 0 = 5*w + 2*a - 1410, 0 = 9*w - 7*w + 2*a - 570. What is the remainder when w is divided by 16?
8
Suppose -2*u + 7*u - 5*a = 100, -2*u - a = -37. Let x(r) = 7*r + 24. Let o be 7 - (2 - 4) - 2. What is the remainder when x(o) is divided by u?
16
Let k(x) = -x - 15. Let l be k(-9). Let s(m) = m**3 + 9*m**2 + 11*m + 6. Let r be s(l). Suppose j - r = 31. What is the remainder when j is divided by 27?
25
Suppose -2*d = 4 - 28. What is the remainder when -4*-55*6/d is divided by 23?
18
Let m = 73 - -130. Calculate the remainder when m is divided by 5.
3
Let h(w) = 3*w**2 + 55*w + 75. Suppose 3 = -2*n - 1. Calculate the remainder when h(-17) is divided by (-4)/n + (-1 - -2).
1
Suppose -42 = -3*c + 3*q, 3*q - 7 = -3*c + 53. What is the remainder when 81 is divided by c?
13
Suppose 0 = -120107*v + 120115*v - 256. Suppose 0 = -n + 2*t + 13, -3*t = n - 18. Let q = 46 + n. Calculate the remainder when q is divided by v.
29
Let d be (-393)/(-15) - (-1)/(-5). Suppose v + 13 = -3*c - 1, -3*v - d = 5*c. Let m(j) = -6*j - 3. Calculate the remainder when m(c) is divided by 11.
10
Suppose -242 = -2*k - y, 5*k - 2*y + 362 = 8*k. What is the remainder when 382 is divided by k?
16
Suppose -9*z - 84*z + 1845 = 30*z. What is the remainder when (-3)/3 + 9*3 is divided by z?
11
Let v = -54 - -60. Calculate the remainder when (v/3)/((-12)/(-534)) is divided by 13.
11
Let t(r) = 4*r**2 - 49*r + 35. What is the remainder when t(14) is divided by 32?
5
Suppose -2*u - 4*n + 65 + 15 = 0, 5*n - 175 = -5*u. Calculate the remainder when u is divided by 8.
6
Let f = 0 - 8. Calculate the remainder when ((-63)/(-28))/((-3)/f) is divided by 2.
0
Let q(s) = 8*s**3 + 4*s**2 - 3. Calculate the remainder when 14 is divided by q(1).
5
Suppose -4*n - 23 = -31. Let p(u) = 19*u - 5. What is the remainder when 262 is divided by p(n)?
31
Suppose 5*d - 25 = 0, -5*r = 3*d - 5*d - 435. What is the remainder when r is divided by 18?
17
Suppose 84 + 212 = 8*a. What is the remainder when 48 is divided by a?
11
Let l(m) = -m + 24. Let d(v) = v. Let x(w) = -4*d(w) + l(w). What is the remainder when x(-5) is divided by 13?
10
Let c = -312 - -459. What is the remainder when c is divided by 11?
4
Let w(o) = 106*o**2 - 9*o + 9. What is the remainder when w(1) is divided by 30?
16
Suppose -5*x + 15 = -2*m, 3*m + 3*x = 10 - 1. Suppose m = 2*f + k - 29, -1 = -f + 2*k + 1. Let d = 21 + 14. What is the remainder when d is divided by f?
11
Let f = -81 + 103. Suppose 3*g = 2*q + f, -3*g + 4*q + 9 = -11. Calculate the remainder when 38 is divided by g.
6
What is the remainder when 363/(-2)*68/(-102) is divided by 34?
19
Suppose 4*g + 0*g - 32 = 0. Let j(c) be the third derivative of c**5/60 + c**4/24 - 7*c**3/6 - 2*c**2. Calculate the remainder when j(-6) is divided by g.
7
Let a be 460/8 + -3 + 21/6. Let n = a + -45. Suppose 2*w = 8 - 0. Calculate the remainder when n is divided by w.
1
Let q be (-6)/1 - -3 - (-4)/2. Let n = q + 38. What is the remainder when n is divided by 12?
1
Let a = 39 - 19. Suppose 2*t = 4*t - a. Suppose 19 = -2*f + 53. What is the remainder when f is divided by t?
7
Suppose 8*f - 687 = -17*f + 213. What is the remainder when f is divided by 2 - (7*-1 - 1)?
6
Suppose 413 = 4*q - 63. What is the remainder when q is divided by 18?
11
Suppose 3*v - 2 = 4. Suppose -5*x - 340 + 241 = -38*x. Calculate the remainder when x is divided by v.
1
Let g(s) = s**2 + 7*s. Let d be g(-6). Let w(h) = 0*h**3 + 2*h**2 + 6*h**2 + h**3 + 8*h + 6. What is the remainder when 119 is divided by w(d)?
29
Let j(a) = a**3 + 11*a**2 - 11*a - 105. Let u = 4 + 57. What is the remainder when u is divided by j(-11)?
13
Suppose 2*p + 24 = h, 4*p - 3*p + 120 = 5*h. Let x = h + -22. Calculate the remainder when (-1 + 1/x)*-174 is divided by 30.
27
Calculate the remainder when 114 is divided by (-22)/143 - (-1137)/39.
27
Suppose 0 = -i + 4 - 0. Suppose -i*a = -14*a + 30. What is the remainder when 23 is divided by a?
2
Let k(l) = 3*l**2 - l - 2. Let f = 128 + -80. Suppose -f = -4*u + 4. What is the remainder when u is divided by k(2)?
5
Let i be (-81)/15 + (-18)/30. What is the remainder when 42 is divided by (-63)/(-14)*(0 + i/(-3))?
6
Let z = -24 + 24. Suppose z = -g + 12 + 11. What is the remainder when 65 is divided by g?
19
Suppose -3*s = -52 + 1. Let d = 488 + -459. Calculate the remainder when d is divided by s.
12
Let r(l) = l**3 - 6*l**2 - 7*l + 22. Calculate the remainder when (3 + -2)/(2/170) is divided by r(7).
19
Suppose 4 + 2 = 2*l. Let j be (-24)/2 + 4 + -4. Let a(r) = -2*r - 23. What is the remainder when l is divided by a(j)?
0
Suppose r - 4*l = 26, -l + 24 + 2 = 3*r. Suppose 7*g + r = 227. What is the remainder when g is divided by 16?
15
Suppose -2*c = -6 - 4, 0 = 5*a + 4*c - 155. Calculate the remainder when 36 is divided by a.
9
Let j(r) = 23*r**2 + 13*r + 62. Calculate the remainder when j(-4) is divided by 127.
124
Let p = -28430 - -28439. Let b = -19 - -33. Calculate the remainder when b is divided by p.
5
What is the remainder when 200 is divided by -3 + -7*70/(-7)?
66
Let b = 46 + -32. Suppose -3*n + 4*k = -32, -2*n + b = -n - 2*k. Suppose 0 = n*a + a - 80. What is the remainder when 63 is divided by a?
15
Suppose 0 = x + x - 16. Let j(q) = 2*q**2 - 11*q - 16. What is the remainder when 36 is divided by j(x)?
12
Let c = 1718 + -1710. Calculate the remainder when 414 is divided by c.
6
Suppose 0 = -6*o + o + 65. Suppose o = -3*l - 5. What is the remainder when (155/10)/((-3)/l) is divided by 17?
14
Let c(f) be the third derivative