ivided by a.
14
Suppose 5*r - 50*r = -5355. Calculate the remainder when r is divided by 40.
39
Let y(l) = -5*l - 11. Let r be y(-3). Suppose -r*j = -5*n - 0*j + 120, 3*j = 2*n - 55. Calculate the remainder when n is divided by -11*2*2/(-4).
9
Suppose -23*m - 7608 = -47*m. Calculate the remainder when m is divided by 19.
13
Let y be (-76)/(-32) - (-3)/(-8). Suppose -65 = -5*u + 5*g, -2*u - y*u - 5*g = -34. What is the remainder when u is divided by 2?
1
Suppose 5*c - 10 = 5. Suppose -16 = -s - 5*u, 0*s - c*u + 7 = -2*s. Calculate the remainder when 1 is divided by (2/(s - 3))/(-1).
0
Let y = 31 + 94. Suppose v - y = -4*v. What is the remainder when 99 is divided by v?
24
Suppose s - 10 - 1 = 0. Let n be 6/14*(10 + -3). Suppose 2*z - 110 = -n*z - 5*p, -5*z + 100 = -5*p. Calculate the remainder when z is divided by s.
10
Suppose -10 = 4*m - 38. Suppose 43 = 4*y + m. What is the remainder when 15*1 - (-2 - -2) is divided by y?
6
Suppose -2*b - 186 = -5*b - 4*u, -3*b + 186 = u. Suppose 3*k = 1 - 25. Let a = k - -24. What is the remainder when b is divided by a?
14
Let z = -13 + 15. Suppose 0*v - 14 = z*v. Let m(y) = -y**3 - 7*y**2 + 2. What is the remainder when 4 is divided by m(v)?
0
Let c = 4 - -15. Let d be -6 - (3 - (-16)/(-4)). What is the remainder when c is divided by (-57)/d + (-18)/45?
8
Suppose -74 = 25*t - 674. Calculate the remainder when 119 is divided by t.
23
Let v be -3 - (42/(-15) + 1/(-5)). Suppose -7*m + 15 + 55 = v. Calculate the remainder when m is divided by 3.
1
Let a = 0 + 17. Let p(o) = -5*o**2 - 2*o**3 + 2*o + 5 + o**3 + 3 - 1. What is the remainder when p(-6) is divided by a?
14
Suppose -2*l + 18 = 4*g, -5*l + 3 = -5*g + g. What is the remainder when 32 is divided by 4*15/6 - g?
4
Let v = -24 + 36. Let r = 234 - 201. What is the remainder when r is divided by v?
9
Let n = 44 - 21. What is the remainder when 29 is divided by n?
6
Suppose 8*c = 16*c - 408. What is the remainder when c is divided by 15?
6
Let a = 20 - 13. Let k(m) = m**3 - 6*m**2 - 7*m + 2. Calculate the remainder when -5*((-54)/(-10) + -6) is divided by k(a).
1
Suppose 3*f - 140 = -0*l - l, -142 = -3*f - 2*l. What is the remainder when f is divided by (206/24 - 10/40)*21/7?
21
Suppose -5 = -2*j + 9. Let q(g) be the second derivative of g**4/12 - g**3/6 - 4*g. Calculate the remainder when j is divided by q(-1).
1
Calculate the remainder when 206 is divided by 441/28*8/3.
38
Let d = 25 - 21. Let u(i) = 4 + 18*i - 6 - 4. What is the remainder when u(d) is divided by 17?
15
Let w = -1614 - -1628. Calculate the remainder when 1916 is divided by w.
12
Let d be 33/(((-135)/(-80))/(-9)). Let b = 397 + d. Calculate the remainder when b is divided by 32.
29
Suppose -5*h - 60 = -3*k, -3*h - 113 = -5*k + h. What is the remainder when 6/24 - (-291)/4 is divided by k?
23
Suppose -446 = -3*t + 4*i, -2*t + 5*i + 118 = -170. Suppose 20 = 4*q - 84. Calculate the remainder when t is divided by q.
24
Let k = 6 + -6. Let p be (-18)/3 - (k - -3). Calculate the remainder when (-741)/p - 2/(-3) is divided by 21.
20
Let w(s) = 22*s + 262. Calculate the remainder when 33 is divided by w(-11).
13
Calculate the remainder when 1468 is divided by (798/49 + -12)/(2/14).
28
Let w be (-8)/28 - 138/(-42). Suppose w*m = 4*m - 83. What is the remainder when m is divided by 21?
20
Let w be -3 - (-1)/2*14. Suppose -20 = -g - 4*g. What is the remainder when (-14)/w*20/(-7) is divided by g?
2
Let l(s) be the second derivative of s**5/20 - s**4/4 - 4*s**3/3 + 3*s**2/2 + 28*s. Calculate the remainder when l(6) is divided by 22.
19
Let o(b) be the first derivative of b**4/4 + 11*b**3/3 + 14*b + 10. Calculate the remainder when (-6)/(-2 - (-48)/26) is divided by o(-11).
11
Let y = 165 - 80. What is the remainder when y is divided by 18?
13
Let d = 4 + -3. Let j be (8/10)/(d/15). Suppose 4*p + j = 3*i - i, p = -i + 18. Calculate the remainder when 27 is divided by i.
13
Let b(a) = 3*a**2 + 5*a - 4. What is the remainder when (-207)/(-6)*8/6 is divided by b(-4)?
22
Suppose -16*c = -8*c - 24. Suppose 188 = 2*o - 4*a, 3*o + 6*a - 282 = c*a. What is the remainder when o is divided by 19?
18
Suppose 5*r = -4*f + 335, -3*r + 9 = -3*f - 219. What is the remainder when r is divided by 18?
17
Suppose -15*u - 3*p + 1159 = -11*u, -2*u + p = -567. Calculate the remainder when u is divided by 24.
22
Let g(w) = -3*w - 10. Let a be g(-3). Calculate the remainder when (a + (0 - -5))*8 - -3 is divided by 6.
5
Suppose -3*l - 2*s = -7, -5*s - 6 + 1 = 3*l. Suppose -l*u + u + 100 = 0. Let v = 221 - 122. What is the remainder when v is divided by u?
24
Suppose 8*t - 2*t - 396 = 0. Let c = 105 - t. Suppose d - c = -3*b + 7, -3*b = -2*d - 43. What is the remainder when b is divided by 6?
3
Suppose 5*c + y = 31 - 4, -2*c - 5*y = -20. Calculate the remainder when 6 is divided by c.
1
Let t = -546 + 566. Suppose 5*g - a - 295 = -0*a, 0 = 5*g - 5*a - 315. Calculate the remainder when g is divided by t.
18
Let u(c) = -3*c - 34. Let a be u(-14). Suppose -4*d = z - a, -4*z + 3*z = 2*d - 6. Let r = 2 + -1. What is the remainder when r is divided by d?
0
Suppose -4*h + j = -11, 4*j - 2*j + 2 = -2*h. Let w(v) = 58*v**2 - 6*v + 7. Let k be w(1). Let l = 63 - k. Calculate the remainder when l is divided by h.
0
Let m(q) = -2. Let p(c) = -33*c + 22. Let i(f) = -3*m(f) - p(f). What is the remainder when i(7) is divided by 31?
29
Let o(m) = -m**2 - 8*m - 1. Let k be o(-8). Suppose -11 = 2*z - 37. What is the remainder when (0 - (2 + -52)) + k is divided by z?
10
Let q(s) = s**3 - s**2 - 6*s - 20. Let i be q(9). Suppose -9*z = -i - 2216. Calculate the remainder when z is divided by 39.
37
Let g = -26 - 13. Let k = -20 - g. Calculate the remainder when k is divided by 18.
1
What is the remainder when 0 + -4 + 0 - (-13 + -141) is divided by 12?
6
What is the remainder when 4/(-2)*2450/(-100) is divided by 13?
10
Suppose 5*z - 31 = 114. Suppose 120*p - 128*p = -128. Calculate the remainder when z is divided by p.
13
Suppose -111 = -3*l + 66. Suppose 37*d - 15*d - 660 = 0. What is the remainder when l is divided by d?
29
Let k = 644 - 599. Calculate the remainder when 47 is divided by k.
2
Let f = 1593 + -1350. What is the remainder when 492 is divided by f?
6
Suppose 125 = -b - 3*i, -3*b + 2*b - 131 = 5*i. Let n = 153 + b. Calculate the remainder when n is divided by (20 - 1) + -2 + 2.
18
Suppose 3*y + 3*c = 21, -5*c - 39 = -3*y - 2*c. Let g be 85/(-68)*(-8)/(-2). What is the remainder when (-2)/g + (-1794)/(-65) is divided by y?
8
Suppose 4*g + 2*i + 48 = 2*g, -2*g + 3*i = 43. Let l = -14 - g. Let d(q) = -q**2 + 12*q - 5. Calculate the remainder when 41 is divided by d(l).
19
Let r = -456 + 482. Calculate the remainder when r is divided by 9.
8
Let l = 5 - 2. Suppose l*z + 2*u = -2*z - 111, -u = 4*z + 90. Let p = 27 + z. Calculate the remainder when 15 is divided by p.
3
Let y = 1135 - 542. Calculate the remainder when y is divided by 9.
8
Let w(u) = 6*u**2 - 2*u + 1. Let l be w(2). Let n = l - 16. What is the remainder when 17 is divided by n?
2
Suppose q + 2*l = 260, -41 + 305 = q - 2*l. What is the remainder when q is divided by 19?
15
Let b(n) = n**3 - 3*n**2 - 4*n + 4. Let k be b(4). Suppose k*i - 5 = g, 3*g = i - 6*i + 53. What is the remainder when 53 is divided by g?
9
Suppose 14 = w - 4*o - 8, -2*o - 10 = 0. Suppose 6*m - w*m = 64. Calculate the remainder when 31 is divided by m.
15
Suppose -31 = 12*y + 65. Let q = y + 9. What is the remainder when 2 is divided by q?
0
Calculate the remainder when (-84)/(-546) + 2596/26 is divided by 17.
15
Let r = -200 + 225. Let w(n) = 3*n**2 - 2*n**2 + 49 - 2*n + 3*n. Calculate the remainder when w(0) is divided by r.
24
Suppose 6*f + 170 = 11*f. Calculate the remainder when f is divided by 8.
2
Let o = -349 + 380. Calculate the remainder when 123 is divided by o.
30
Let k(j) = j + 31. Suppose b - 5*y = -21, -y = 3*b + 2*y + 9. What is the remainder when k(b) is divided by 13?
12
Let q(x) = -x + 18. Let n be q(-10). Suppose -n*r + 23*r + 130 = 0. What is the remainder when r is divided by 7?
5
Let a = 8 - 7. Let d = 0 + a. Suppose 6 = -2*x - 0*x + 4*m, -5*x + 21 = 2*m. What is the remainder when x is divided by d?
0
Suppose -4*y + 5556 = -4808. Calculate the remainder when y is divided by 1