. Suppose 20 = l + 2*a, d*a - 54 = -3*l - 0*a. Calculate the remainder when (-9)/(3 + 22/(-7)) is divided by l.
15
Let l(y) = y + 2. Let n be l(-5). Let u(r) = -28*r - 3. Let c be u(n). Suppose g = j - 25, -5*j - 3*g = -c - 20. Calculate the remainder when j is divided by 4.
2
Suppose g = 3*g - 78. Suppose 16*x - g = 15*x. Suppose -10*i = -7*i - x. What is the remainder when 49 is divided by i?
10
Suppose l + 0*v - 10 = 3*v, -v = -2*l + 5. What is the remainder when 90 + (-4 - -7)/l is divided by 24?
21
Let g(u) = -4*u**2 + u - 4. Let y be g(-10). Calculate the remainder when (2/6)/((-2)/y) is divided by 18.
15
Let q(d) = -d**3 + 10*d**2 + 13*d - 13. Let a(p) = -2*p. Let k be a(-3). Suppose -78 = 3*r - k*r. Calculate the remainder when r is divided by q(11).
8
Suppose 2*q - 55 = -3*q. Let u(j) = j**3 - 3*j**2 + 4. Suppose 0 = -g + 7 - 2. What is the remainder when u(g) is divided by q?
10
Suppose -k = -90 + 88. Let q(i) = -i**2 - 7*i - 6. Let j(o) = -5*o**2. Let m be j(1). Calculate the remainder when q(m) is divided by k.
0
Suppose 0 = -8*z + 4057 + 1551. Suppose -9*u = -z - 28. Calculate the remainder when u is divided by 12.
9
Suppose -3*x + 10 = -2*t - 3*t, -17 = -3*x - 2*t. Suppose x*k - 14 = 3*k. Suppose 3*a + k = 4*a. What is the remainder when 12 is divided by a?
5
Let y be -4 + (4/6 - (-21)/9). Calculate the remainder when 104 is divided by (y/5)/(8/(-2120)).
51
Let v(h) = h**3 - 13*h**2 + 14*h - 11. Suppose -48 = -5*c + 12. Let a = 87 + -36. Calculate the remainder when a is divided by v(c).
12
Suppose -123 - 2055 = -11*a. Calculate the remainder when a is divided by 43.
26
Calculate the remainder when 80 is divided by ((-11)/(-3))/((-9)/(-54)).
14
Suppose 5*u = 3*o - 2301, 2*o + 7*u - 3*u - 1512 = 0. Calculate the remainder when o is divided by 17.
14
Let x = -38 + 10. Let k be -4 + 12 + (-2*3)/2. Calculate the remainder when 40 is divided by x/k*5/(-2).
12
Let j(r) = -3*r - 7. Let l be j(-16). Let s = -15 + l. What is the remainder when s is divided by 7?
5
Let h(w) = -32 + 1 - 5*w - 31 - 2. Suppose r - 15 = 4*r, -m = 4*r - 107. What is the remainder when m is divided by h(-18)?
23
Suppose 0 = -a - a + 5*p + 78, -46 = -2*a - 3*p. What is the remainder when 433 is divided by a?
27
Let u(h) = 14 - 15*h**2 - h**3 + 0*h + 8 + 14*h. What is the remainder when u(-16) is divided by (-4)/(-8)*(22 - 0)?
10
Suppose 5*a = a - 3*g + 52, 0 = a - g - 20. Calculate the remainder when 85 is divided by a.
5
Let k = -214 - -239. Calculate the remainder when 72 is divided by k.
22
Let g = 40 + -29. Let q = -183 + 258. Let a = q + -72. What is the remainder when g is divided by a?
2
Let f = 2241 + -2080. Calculate the remainder when f is divided by 28.
21
Suppose -5*x = -9*x + 228. Let h be 20/(-3)*(0 - x). What is the remainder when 43 is divided by (-2)/10 + h/25?
13
Suppose -5*s - 25 = 0, -5*x + 4*s = s - 20. Suppose -271*p = -310*p + 117. Calculate the remainder when p is divided by x.
0
Suppose -q + 81 = -3*c, -2*q - c + 62 = -72. Calculate the remainder when 1099 is divided by q.
64
Let j(k) = 20*k - 9. Let q(c) = 20*c - 10. Let a(i) = 3*j(i) - 4*q(i). What is the remainder when a(-6) is divided by 34?
31
Let n(g) = -g**3 - 19*g**2 - 20*g + 50. Calculate the remainder when n(-18) is divided by 21.
2
Let f(m) = -8*m + 57. Calculate the remainder when f(-3) is divided by 22.
15
Let v = 29 - -9. Calculate the remainder when v + -2*4/8 is divided by 10.
7
Suppose 4*h + 3 = 15, 3*o + 4*h - 93 = 0. Suppose -7*y - 416 = -15*y. Calculate the remainder when y is divided by o.
25
Let o be (-1 + 0)/((-1)/2). Suppose o*l - 28 = -8. Suppose 5*m = l*m - 180. What is the remainder when 141 is divided by m?
33
Suppose 5*r + 60 = -3*s + 294, -4*r + 4*s = -200. Calculate the remainder when 1/(1*4/r) is divided by 4.
0
Let j be 15/(-25) + 1290/25. Suppose 5*s - j = 99. What is the remainder when s is divided by 32/(-6)*1*-3?
14
Let a = 63 + -36. Calculate the remainder when 104 is divided by a.
23
Suppose -37*g + 41*g = 3*a - 78, 3*g = 0. What is the remainder when 102 is divided by a?
24
Suppose 0 = 2*x + 3 + 1. Let t(u) = 6*u**2 + 3*u + 2. What is the remainder when 110/2 + (20 - 16) is divided by t(x)?
19
Suppose 2*x - 2 - 6 = 0. What is the remainder when 8/10 - (-6)/30*76 is divided by x?
0
Let z(l) = -4*l + 3. Let y(j) = -2*j + 1. Let q(t) = -10*y(t) + 4*z(t). Let i = 116 - 114. What is the remainder when 29 is divided by q(i)?
9
Let f = 10 + -6. Let j(t) = 5*t + 6. What is the remainder when j(f) is divided by 7?
5
Suppose 4*p - 3*v + 4*v = 6, -3*v + 6 = 0. Let s = 17 + p. Calculate the remainder when 87 is divided by s.
15
Let u be (4/(-10))/(1/20). Let s = -6 - u. Suppose s*h = 9*h - 140. Calculate the remainder when 77 is divided by h.
17
Let v(f) = -12*f**3 - 67*f**2 + 9*f + 41. What is the remainder when v(-6) is divided by 56?
55
Let w = 381 - 327. Calculate the remainder when w is divided by 36.
18
Calculate the remainder when 251 is divided by -1 + 38 - (5 - 4).
35
Let w = 32 + -26. Suppose y - 503 = -4*p, 4*p - w*p + 3*y = -241. Calculate the remainder when p is divided by 32.
29
Suppose 0 = -u - 2*h + 47, -h - 57 = -2*u + 32. Suppose 5*o - 4*o - 24 = 0. What is the remainder when u is divided by o?
21
Suppose -v - 6 = -26. Calculate the remainder when 73 is divided by v.
13
Suppose -4*j - 2*k + 298 = 0, 0 = -7*j + 11*j - k - 295. Calculate the remainder when j is divided by 65.
9
Let v(s) = s**2 + 4. Let q be v(0). Let y be 69 + (-3)/3 + q. Let i = y - 10. What is the remainder when i is divided by 16?
14
Let d(v) = -v**3 + 2*v**2 + v + 1. Let p be d(-2). Suppose -4*a = -p - 25. What is the remainder when 28 is divided by a?
8
Let b = 30 - 30. Suppose n + b = 7. Calculate the remainder when 81 is divided by n.
4
Let n(l) = l**2 + l + 1. Suppose 16 = -0*c - 2*c. What is the remainder when n(c) is divided by 2*((-81)/36)/((-6)/16)?
9
Let i = 70 - 5. Suppose -4*r - 4 = 0, -2*r = 5*h + 3*r - i. What is the remainder when (1/(-2))/((-10)/40) - -38 is divided by h?
12
Let r(z) = 4*z**3 - 5*z**2 - 4*z + 3. Let m(u) = -u**3 + u**2. Let v(b) = 3*m(b) + r(b). Calculate the remainder when 73 is divided by v(4).
16
Suppose -2*d + 508 = 4*l, 0 = 2*l + 17 - 7. Calculate the remainder when d is divided by 67.
63
Let v = 28 - 23. Suppose -5*r + 260 = -v*b, -6*b + 3*b - 102 = -2*r. Calculate the remainder when r is divided by 8.
6
Let f be 78/9*6/(-4). Let k = f - -13. Suppose k = l + 4*n - 9, 2*n + 41 - 5 = 4*l. What is the remainder when 34 is divided by l?
7
Suppose -3*j + 4*s + s = -414, 5*j - 3*s - 706 = 0. Suppose -3*f + 31 = -j. Let q = 1856 - 1846. Calculate the remainder when f is divided by q.
8
Suppose -5*v + 138 = -v + 5*s, -5*s = 2*v - 64. What is the remainder when v is divided by 25?
12
Let z be (-20)/15 + (-5)/(-15). Let f(y) = -22*y**3 + 1. Calculate the remainder when f(z) is divided by 6.
5
Suppose 316 - 109 = 69*t. Calculate the remainder when 29 is divided by t.
2
Let o = 139 + -84. Let s = 174 + -160. Calculate the remainder when o is divided by s.
13
Suppose 0 = 6*x - 92 + 650. Let q = -28 - x. Calculate the remainder when 387 is divided by q.
62
Let b(t) = -136*t - 6. Let h be b(-2). Suppose -2*n + j + h = -2*j, -3*n - 4*j = -399. Calculate the remainder when n is divided by 34.
31
What is the remainder when 36 is divided by (-927)/515*(-5 + 0)?
0
Let a = -239 - -241. Calculate the remainder when 3 is divided by a.
1
Let r = -465 + 487. What is the remainder when 657 is divided by r?
19
Let r = 121 + -116. Suppose -7 = -3*j - 3*s + 8, -4*s = r*j - 30. Calculate the remainder when 31 is divided by j.
1
Let c(h) = h**3 - 11*h**2 + 10*h. Let x be c(10). Let l = 9 + x. Let k = l + -5. Calculate the remainder when 13 is divided by k.
1
Let k = 51 + -22. Calculate the remainder when 171 is divided by k.
26
Let n be (-4)/18 + (-707)/(-63). Let m = -11 + n. Suppose m = -2*s + 3*l + 26, 2*l - 4 = -4*s + 48. What is the remainder when s is divided by 7?
6
Suppose -27*p + 21*p + 24 = 0. Suppose 0 = -p*z + 2*d + 69 + 13, -4*z = -3*d - 79. What is the remainder when z is divided by 3?
1
Let t = -1333 - -1401. What is the remainder when t is divided by 45?
23
Let n(f) = f**3 + 10*f**2 + 15*f + 79. What is the remainder when 422 is divided by n(-9)?
