k - w. Calculate the remainder when r is divided by z.
0
Let f(i) = -9 + 3 - 3 + 16*i + 2*i**2. Let u = 1 + 14. Calculate the remainder when u is divided by f(-9).
6
Suppose 8*t + 43 + 5 = 0. Calculate the remainder when 65 is divided by (25 + -22)*(-34)/t.
14
Let l(i) = i**3 + i**2 + 2*i + 5. Let s be l(3). Suppose 4*n - 178 = -3*a, a - 10 - s = n. What is the remainder when a is divided by 30?
28
Suppose 0 = 2*x + 2*h - 16, -233*h + 42 = 3*x - 236*h. Let i(b) = 5*b - 9. Calculate the remainder when i(6) is divided by x.
10
Suppose -3*k = -5*n - 5, -2*k + 4*n + 11 = -k. Let j be (-5)/1 + (-4 - k). Calculate the remainder when 96/(-9)*36/j is divided by 33.
30
Suppose 223 = -52*c + 9531. What is the remainder when c is divided by 25?
4
Suppose 2*v + 3*v - 330 = -5*t, 0 = -2*v + t + 117. What is the remainder when v is divided by 26?
9
Suppose 3*t = -15, -t - 77 = -3*q + 6. What is the remainder when 113 is divided by q?
9
Let j(t) = 2*t**2 + 6*t + 3. Let a = 669 - 641. What is the remainder when a is divided by j(-4)?
6
Let g(o) = -81*o - 55. Calculate the remainder when g(-3) is divided by 21.
20
Let l(q) = -q**3 + 5*q**2 - 5*q + 8. Calculate the remainder when 86 is divided by l(4).
2
Let t(s) = 5*s**2 + 2*s - 1. Let x = 305 + -181. Suppose r + 0*r + 2*z - 52 = 0, 2*z + x = 3*r. What is the remainder when r is divided by t(-2)?
14
Suppose -5*l + 17 + 3 = 0. Calculate the remainder when -1 + l/4 + -3 + 39 is divided by 20.
16
Calculate the remainder when ((-9)/2 - 6/(-4)) + 207 is divided by 16.
12
Let g = -33 - -36. What is the remainder when g is divided by 18/10 + (-1)/(-5)?
1
Let p(k) be the second derivative of 4*k**3/3 + 5*k**2/2 - 24*k. What is the remainder when p(4) is divided by 11?
4
Let t(r) = r**2 - 2*r - 96. Let g = -68 + 185. What is the remainder when g is divided by t(-10)?
21
Let w(u) = -3*u + 30. Calculate the remainder when ((-35)/21)/(2/(-30)) is divided by w(7).
7
Suppose -5*t - 25 + 100 = 0. What is the remainder when 86 is divided by t?
11
Suppose 3 = 3*f, -4*x + f + 11 = -4*f. Suppose 4*z - x = 3*z. What is the remainder when 18 is divided by z?
2
Let a(p) = -p**3 + 5*p**2 + 2*p + 1. Calculate the remainder when a(-3) is divided by 6.
1
Suppose 0 = 7*m - 4*m + 5*p - 370, -2*p - 627 = -5*m. What is the remainder when m is divided by 33?
26
Suppose 2*c = 3*k + 49, 6*c = 2*c - k + 77. Suppose 4*s = m + 227, 3*m = 2*s - 94 - 7. What is the remainder when s is divided by c?
18
Suppose -3*s = -2*k + 1911, 5*k - 4767 = -39*s + 43*s. Calculate the remainder when k is divided by 119.
118
Suppose 3 = 2*i - 3. Suppose -i*j + 7*j = 16. Suppose -j*p = 4*b - 120, 2*b - 46 = -5*p + 17. Calculate the remainder when b is divided by 8.
5
Suppose 19*j - 21*j = 0. Suppose 5*f - 43 = -t, j = 5*t + 5*f - 173 + 58. What is the remainder when 70 is divided by t?
16
Let v be 2/4*(63 - 21). Suppose -27 = -8*a + v. Calculate the remainder when 21 is divided by a.
3
Let c(i) = -i**2 - 12*i + 28. Calculate the remainder when 305 is divided by c(0).
25
Let j(p) = p**2 - 7*p + 25. Calculate the remainder when 222 is divided by j(5).
12
Suppose 0*n - 4*x - 11 = -n, -x = -2*n + 15. Let u = 502 + -484. Calculate the remainder when u is divided by n.
4
Let n = 347 + -726. Let l be 14/(-126) + n/(-9). Suppose -a + l = 10. Calculate the remainder when a is divided by 17.
15
Suppose 6115*i + 66 = 6121*i. What is the remainder when i is divided by 9?
2
Suppose -11*j - 4*j + 390 = 0. What is the remainder when 103 is divided by j?
25
Let c = 4 - 18. Let m = 2 - c. Suppose -3*u - u = -m. Calculate the remainder when 22 is divided by u.
2
Let s(q) = -2*q - 10. Suppose 3*p - 4*p - 7 = 0. Let b be s(p). Suppose -b*i = -3*i - 18. What is the remainder when 70 is divided by i?
16
Let p(g) be the first derivative of -g**2 - 14*g + 32. Let w(m) = -m**3 - 2*m**2 - 4*m - 2. What is the remainder when p(-18) is divided by w(-2)?
4
Let m(s) be the third derivative of -s**4/3 - 11*s**3/6 + 7*s**2. What is the remainder when m(-5) is divided by 9?
2
Let n(r) = -r**2 - 32*r + 30. Calculate the remainder when n(-28) is divided by 16.
14
Let z = 13 - 20. Let w = 51 + z. What is the remainder when 50 is divided by 2*w/8 + 2?
11
Let u = 648 + -637. Let k(c) = 4 - c + 0 + 0*c. Calculate the remainder when u is divided by k(0).
3
Let q = -8 + 11. Suppose w = -q*y - 15, 3*w = -w. Let x = y - -10. What is the remainder when 23 is divided by x?
3
Let p = -15 - -34. Let b(l) = -2*l - 4. Let n be b(3). What is the remainder when (-14)/(-35) - 736/n is divided by p?
17
Let k(o) = -o + 1. Let f be k(6). Suppose 4*y + 1 = 2*d + 3, -2*d - 3*y = -33. Let l = f + d. Calculate the remainder when 13 is divided by l.
1
Let p = 566 + -314. Calculate the remainder when p is divided by 51.
48
Suppose 8*k - 1 - 7 = 0. Suppose 2*w - 5*u - 22 = 0, u - 3 = -k. Calculate the remainder when w is divided by 4.
0
Calculate the remainder when 21/(-49) - (9440/(-35))/4 is divided by 24.
19
Suppose -30 = -3*m - 0*m. Suppose -90 = -9*l + 4*l. What is the remainder when l is divided by m?
8
Let c = -711 + 724. Let j(b) = 5*b**2 + b - 4. What is the remainder when j(-3) is divided by c?
12
Let k(n) = n**3 - 13*n**2 + 26*n - 38. What is the remainder when k(12) is divided by 38?
16
Suppose -460*t = -452*t - 752. Let k = -67 + 100. What is the remainder when t is divided by k?
28
Let g = 894 - 861. Let d(b) = -8*b + 1. What is the remainder when g is divided by d(-1)?
6
Suppose -2*t - 3*o + 525 = 3*t, 2*o + 194 = 2*t. What is the remainder when t is divided by 19?
7
Suppose 312 = 7*q - 3*q. What is the remainder when q is divided by 40?
38
Let h(f) = 22*f - 226. Calculate the remainder when h(22) is divided by 52.
50
Let r be -7 - -1 - (1 + -5). Let o be 12 - (r - (4 - 3)). Suppose 3 = a - o. Calculate the remainder when 69 is divided by a.
15
Suppose 2*v - 204 = -74. What is the remainder when v is divided by 24?
17
Suppose -4*x + 11 = -f, -2*f + 14 = -3*x + 4*x. Suppose -x*g + 17 = -z, -1 = -0*g + g. Let d = z + 26. Calculate the remainder when 7 is divided by d.
2
Let g(r) = r**3 + 0 + 0 - 3*r**2 + 1 - 7 - 5*r. Calculate the remainder when 74 is divided by g(5).
17
Suppose -29*k = -27*k - 4. What is the remainder when 35 is divided by 0 + -3 + k - (-156)/12?
11
Suppose -35 = 5*m + 10. Let j = 23 + -12. What is the remainder when j is divided by (-21)/m*(-6)/(-2)?
4
Let x be 0/(-2 - 1)*-1. Suppose 2*o - 1 - 3 = x. Suppose 2*u + 0*n - 31 = n, 0 = -3*u - o*n + 50. What is the remainder when 31 is divided by u?
15
Suppose 5*t = 73 + 12. Suppose -2*r + 3*r - 2*h + 191 = 0, 2*h - 782 = 4*r. Let f = -165 - r. What is the remainder when f is divided by t?
15
Let o be (-3)/2 - 21/(-6). Let a(l) be the third derivative of l**4/12 + l**3/3 - 5*l**2. Calculate the remainder when 9 is divided by a(o).
3
Let d = 148 + -44. Suppose -13 - 284 = -3*n - 3*m, -n + 4*m = -d. What is the remainder when n is divided by 26?
22
What is the remainder when ((-498)/(-5))/((-70)/(-525)) is divided by 10?
7
Let g(f) = -92*f + 229. Calculate the remainder when g(-4) is divided by 26.
25
Let h(u) = u**3 - 19*u**2 + 41*u - 58. Calculate the remainder when 543 is divided by h(17).
55
Suppose -53*s = -45*s - 80. What is the remainder when 59 is divided by s?
9
Let c(m) = 2*m**2 + 64*m - 93. Suppose 2*s = 3*s - 24. What is the remainder when c(-35) is divided by s?
21
What is the remainder when 69 is divided by (-528)/(-32) - 2/4?
5
Suppose -104 = -4*n + 8*f - 3*f, -f + 38 = 2*n. Calculate the remainder when n is divided by 11.
10
What is the remainder when (-2 - (-3 - 144)) + -4 is divided by 21?
15
Let g(r) = -r**3 - 7*r**2 - 6*r + 9. Calculate the remainder when g(-8) is divided by 31 - (0 + 0/(-1)).
28
Let g = 1499 - 214. What is the remainder when g is divided by 14?
11
Suppose 2*w - 96 - 52 = 5*y, -5*y = -4*w + 316. Suppose -3*c + 7*c + w = 0. Let l = -5 - c. What is the remainder when 47 is divided by l?
15
Suppose 0 = -5*c + 3*o + 15, 5 + 5 = 2*o. Calculate the remainder when 9 is divided by c.
3
Let f(g) = -9*g + 2*g + 80 - 66. Suppose -4*y = 2*s - 43 - 47, 4*s = -3*y + 170. What is the remainder when s is divided by f(0)?
13
Calculate the remainder when 115 - (11 - (-5 + 11)) - -2 is divided by 24.
16
Let v(h) be the third der