/2 - 2*l. Calculate the remainder when r(5) is divided by 17.
15
Let n(u) = -50 - 41 + 6*u + 202*u. Let w(a) = -9*a + 4. Let s(b) = -4*n(b) - 91*w(b). Calculate the remainder when 36 is divided by s(-1).
10
Let p be 1 - (-1)/((-1)/(-13)). Suppose 5*i - p = -2*c + 46, 23 = c - i. What is the remainder when c is divided by (-2 - -5)*(7 + -9 + 5)?
7
Let u(z) = -7*z**2 + 13*z - 24. Let x(j) = 13*j**2 - 26*j + 47. Let p(n) = 11*u(n) + 6*x(n). What is the remainder when 12 is divided by p(12)?
0
Suppose -5*p = -p - j - 4100, -2050 = -2*p - j. Calculate the remainder when p is divided by 114.
113
Let i be (4 - -6)/(2/43). Suppose -5*l + 5*r = i, 134 = -3*l + 2*r + 2*r. What is the remainder when 45 is divided by (l/14 - -1)*-7?
9
Let c be -10 - ((5 - 1) + 0). Let d be 32 + (c/2 - -3). Calculate the remainder when 94 is divided by d + (0/4 - 4).
22
Let y(r) = 3*r**2 + r - 5. Let p(b) = 2*b**2 + b. Let h(j) = 5*p(j) - y(j). What is the remainder when h(-3) is divided by 16?
8
Let w(m) = 2*m**2 + 68. Suppose -3*o + 4*x - 4 = -20, -3*o - 8 = 2*x. What is the remainder when w(o) is divided by 24?
20
Let n(m) = m**2 + m - 2. Let z(x) = -x**3 + 9*x**2 - 7*x + 17. Calculate the remainder when z(8) is divided by n(3).
5
Suppose 2*k = -k + 9. Suppose -5*m = -r - 97, -k*m - m - 3*r + 89 = 0. Suppose 9 = 2*n + 5*v, n = 4*v - 9*v - 3. What is the remainder when m is divided by n?
8
Suppose 2*f = 8, -3*f - 643 = -5*h - 0*f. What is the remainder when h is divided by 42?
5
Calculate the remainder when (-8)/(-6)*(-33)/(-1) is divided by ((-184)/(-12))/(28/42).
21
Let i = 167 - 158. What is the remainder when i is divided by 6?
3
Let y(m) be the third derivative of -m**5/60 + m**4/3 + m**3/3 + 18*m**2. What is the remainder when 51 is divided by y(7)?
6
Suppose y - 8 = 3*y. Let t be (-9)/(y/(16/12)). Suppose -2*k + 50 = t*k. Calculate the remainder when k is divided by 6.
4
Suppose 0*u = -2*u. Suppose u = -0*w - w. Suppose -8*x + 5*x + 69 = w. Calculate the remainder when 68 is divided by x.
22
Let b(k) = -10*k - 5. What is the remainder when b(-4) is divided by ((-2)/(-5))/((-12)/(-360))?
11
Suppose -n = -6*n + 25. What is the remainder when 10*-1*((-31)/n - -2) is divided by 11?
9
Let t = 57 + -45. Suppose -48 = -4*c - 3*l, -4*l = 3*c - 55 + t. Calculate the remainder when 20 is divided by c.
2
Suppose -65*z + 809 - 224 = 0. Calculate the remainder when 10 is divided by z.
1
Suppose -b = b - 2, i - 3*b = 0. What is the remainder when 0/i - (-39)/1 is divided by 14*((12 - (-34)/(-3)) + (-2)/(-6))?
11
Let c be 0 + 4 - (-1 + 1). Suppose 12 = 4*d + c. Suppose -h = -d*a - 16, -3*h + 2*a = h - 40. Calculate the remainder when 14 is divided by h.
6
Suppose -2*y + 103 = -3*l, 2*y - l = -2*l + 83. Let w = -24 + y. Calculate the remainder when w is divided by 3.
2
Suppose 236*p - 257*p + 105 = 0. Let s(n) be the second derivative of -n**4/12 - 5*n**3/6 - n**2/2 - n. What is the remainder when p is divided by s(-3)?
0
Let k be 38 - 0 - 3/(-1). Let j = -27 + k. Calculate the remainder when (-16)/(20/(-5)) + -5 + 55 is divided by j.
12
Suppose 5*v - 509 = -5*b + v, -2*b + 3*v + 222 = 0. Suppose b = 2*s + s. What is the remainder when s is divided by 13?
9
Let v(j) = -13*j - 8. Let g = 7 + -13. Let y be v(g). Suppose 2*x - y = -5*q, -4*q + 86 = 2*x - 3*q. What is the remainder when x is divided by 16?
13
Suppose 0 = -u + 2*i - 3*i - 36, -i = -4*u - 144. Let z = u + 66. Let a = 44 - z. Calculate the remainder when 39 is divided by a.
11
Let w be (-2)/5 + 129/(-15). Let v(p) = p + 23. What is the remainder when 221 is divided by v(w)?
11
Let t(o) = 5*o**2 - 22*o + 86. What is the remainder when t(8) is divided by 108?
14
Suppose -3*r - d = -0*r + 262, -2*r - 4*d = 168. Let p = 91 + r. What is the remainder when 7 is divided by p?
1
Suppose 6*x = -x - 322. Let c = 99 + x. What is the remainder when c is divided by 21?
11
Let c = 66 - 114. Calculate the remainder when 26/(-4)*(-1 - 1) is divided by (14/(-6))/(16/c).
6
Let l be 16/8*7/(-2). Calculate the remainder when l*2*(-38)/4*1 is divided by 45.
43
Suppose 2*s + 5*v = -s + 664, 0 = 5*v + 5. What is the remainder when s is divided by 28?
27
Let y(p) = -p**2 + 10*p + 16. Let r be y(12). Let h = 25 + -47. Let i = r - h. Calculate the remainder when 40 is divided by i.
12
Let v(a) = 2*a**3 + 14*a**2 - 15*a + 12. Suppose 0 = d + d - 68. Calculate the remainder when d is divided by v(-8).
2
Let v = 237 - 191. What is the remainder when v is divided by 12?
10
Let n be 1*((-5)/5 - 64). Suppose 0 = 2*k + 1 + 1, -s + k = -68. Calculate the remainder when s is divided by 4/26 - 1095/n.
16
Let i be -1 + -2 + 1*-7. Let y = i + 12. Suppose -y*g = 2*x - 7*g - 1, 12 = 4*g. Calculate the remainder when 14 is divided by x.
6
Let l = -111 - -144. What is the remainder when l is divided by 24/5 - (-1)/5?
3
Let w = 336 - 330. What is the remainder when 20 is divided by w?
2
Let f(q) be the second derivative of q**3/2 - 13*q**2/2 - 9*q. Let u be f(4). What is the remainder when (-86)/u + (-9 - -12) is divided by 23?
20
Let k(r) = r**3 + 2*r**2 - 17*r - 10. What is the remainder when k(6) is divided by 61?
54
Suppose 5 = 4*o - 3. Let f = -244 - -249. What is the remainder when f is divided by o?
1
Suppose r = 2, 2*r - 26 = -3*p - 2*r. Suppose -p*v + 882 = 3*v. What is the remainder when v is divided by 5?
3
Let w(o) = 19*o - 21. What is the remainder when w(9) is divided by 8?
6
Let j(s) = s + 5. Let m be j(7). Let l = 27 + -22. Suppose -m = -4*t, -8 = -l*a + 2*t + 2*t. Calculate the remainder when 19 is divided by a.
3
Let x be 1 - (-3 + 1*-21). Let d be 160/x + (-6)/15. Suppose w = d*w - 45. Calculate the remainder when 31 is divided by w.
4
Suppose 0 = -3*b + 2*b + 23. Suppose b = 4*r - 17. What is the remainder when 39 is divided by r?
9
Let m(g) = 5*g + 1. Let b(r) = -r**2 + 13*r + 34. Let o be b(15). Calculate the remainder when (2 - (o - 6))*5*2 is divided by m(4).
19
Let f(l) = l**3 + 2*l**2 - l - 9. Let y be f(-4). Let i = y + 82. Calculate the remainder when i is divided by 24.
21
What is the remainder when (-2 + 5)*(34 - 5) is divided by 53?
34
Suppose 16*o = 20*o. Suppose 20*f - 10*f - 230 = o. Calculate the remainder when f is divided by 9.
5
Suppose 3*g - 5*x = 144, -5*g + 0*x - x = -212. What is the remainder when 600 is divided by g?
41
Suppose -l + s = l + 16, 0 = 3*l + 3*s + 6. Let v(f) = -f**2 - 4*f + 21. What is the remainder when 44 is divided by v(l)?
8
Let u(g) = 5*g**2 + 2*g - 4. Let w(x) = x**2. Let z(r) = u(r) - 3*w(r). Suppose 28*c - 25*c = 42. Calculate the remainder when c is divided by z(-3).
6
Let x(z) = 3*z - 62. What is the remainder when 50 is divided by x(22)?
2
Let i(u) = u**2 + u - 1. Let y(d) = -90*d**2 - 2*d + 4. Let f(j) = -3*i(j) - y(j). What is the remainder when f(1) is divided by 44?
41
Suppose -64*j + 100 = -63*j. What is the remainder when j is divided by 29?
13
Suppose -17*r + 30 = -16*r. Suppose 5*i = -z + 21, -5*z + 4*i = -60 + 13. Calculate the remainder when r is divided by z.
8
Suppose -265 = o - 6*o. Suppose 19 = 4*z - 5*c, 0*z - 4*c = 3*z - o. Suppose 2*q = -5*r + 8, r - 2*r = -q + z. What is the remainder when 33 is divided by q?
6
Let r(w) = -w**2 + 5. Let z be r(0). Suppose -g = -z*j - 21, 4*g + 2*j - 42 - 130 = 0. What is the remainder when g is divided by 21?
20
Suppose 247 - 927 = -17*b. Let v be ((-8)/5)/(2/(-65)). Let p = -30 + v. What is the remainder when b is divided by p?
18
Suppose 0 = 4*n - n + 24. Let f be 7/(140/n)*20. Let y(c) = -3*c - 3. What is the remainder when 83 is divided by y(f)?
20
Suppose 175*o = 173*o + 108. Suppose 12*c = o - 6. Calculate the remainder when 63 is divided by c.
3
Suppose 0*y - 651 = -7*y. Let n = y - 83. Calculate the remainder when n is divided by 6.
4
Let g(j) = 8*j**3 - 2*j**2 - j + 1. Let x be g(1). What is the remainder when (2 + (-219)/x)*(-4)/3 is divided by 10?
6
Suppose -315 = -p - 4*p + t, 4*p = -3*t + 271. Calculate the remainder when 319 is divided by p.
63
Let h(p) = -9*p - 6. Let a be h(-2). Let w = 111 - a. Calculate the remainder when w is divided by 25.
24
Let j be (63/(-15))/(1/(-24 + 4)). Suppose -5*g = -291 - j. Calculate the remainder when g is divided by 10.
5
Let r be -2 - 17 - (-1 + 0). Calculate the remainder when 29 is divi