. Calculate the remainder when 1357 is divided by f.
37
Suppose -5*f + 4*g + 367 = 0, -4*g + 8*g = 3*f - 217. What is the remainder when f is divided by 38?
37
Calculate the remainder when (-18 + 1661/44)/((-1)/(-8)) is divided by 32.
30
Suppose -11*c = 3*c - 434. Calculate the remainder when 185 is divided by c.
30
Let g(x) = -x**3 + 51*x - 3. What is the remainder when 104 is divided by g(7)?
5
Suppose 0 = -a - a + 70. Suppose -v + a = -6*v. Let x = 11 + v. Calculate the remainder when 7 is divided by x.
3
Let y = -26 + 28. What is the remainder when 16 is divided by y?
0
Let s(h) be the third derivative of -3*h**4/8 + h**3/6 + 6*h**2. Let f be s(-1). Let n = f + -2. Calculate the remainder when 15 is divided by n.
7
Suppose -f - 3*s = -2*s - 2, 14 = 4*f + 2*s. Calculate the remainder when 46 is divided by 62/f + 4/(-10).
10
Let n be ((-12)/(-10))/(3/130). Let r = -44 + n. Let k(w) = -w**3 + 13. Calculate the remainder when k(0) is divided by r.
5
Suppose 6*d - 4*d - 56 = 0. Suppose -d = -2*u - 6. What is the remainder when u is divided by 3?
2
Let q(l) = 8*l. Suppose 45 + 96 = 3*o. What is the remainder when o is divided by q(1)?
7
Let i(x) = x**3 + 39*x**2 + 30*x - 138. Let y(f) = f**2 - f. Calculate the remainder when i(-38) is divided by y(-6).
40
Let p = -26 - 27. Let m = p + 92. Suppose 3 = -2*l + m. Calculate the remainder when 52 is divided by l.
16
Suppose 408 = 9*x - 3*x. Calculate the remainder when x is divided by 10.
8
Let o(t) = -2*t + 4. Let f be o(2). Suppose f = -4*c + 7*c - 45. Suppose 2*n - 3*p = 70, 9*p - 61 = -n + 4*p. What is the remainder when n is divided by c?
11
Let x be (-6)/33 + (-277)/(-11). Let z = 66 - x. Calculate the remainder when z is divided by 7.
6
Let z(s) = s**2 + 2*s - 2. Suppose 13*d + 1834 - 3199 = 0. Calculate the remainder when d is divided by z(-6).
17
Suppose -28*v - 5*v + 330 = 0. Let o(g) = 3*g**2 + 3*g + 2. Let h be o(-4). Let u = h - 19. What is the remainder when u is divided by v?
9
Suppose -1100 = -30*h + 28*h. Calculate the remainder when h is divided by 19.
18
Let k(n) = 5*n**2 + 5*n - 8. Let l be k(2). Let d = 18 - -3. Let g = d + l. What is the remainder when g is divided by 22?
21
Let x = 82 - 52. Let t = -21 + x. What is the remainder when 34*(-8)/16*-2 is divided by t?
7
Suppose -10 = -2*h, l + h - 33 + 12 = 0. What is the remainder when l is divided by (-69)/(-6) - 3/(-2)?
3
Let g(z) = -25*z + 286. Calculate the remainder when 151 is divided by g(10).
7
Let q(x) = 5*x + 7. Let l be q(0). Suppose -67 + l = -10*a. What is the remainder when 12 is divided by a?
0
Calculate the remainder when 132 is divided by (-6)/(36/(-42)) - -116.
9
Calculate the remainder when 76 is divided by (-26)/6*(8 - 8 - 3).
11
What is the remainder when 55 is divided by (90/(-4))/15*-24?
19
Suppose -2*f = -12 - 18. Suppose 9*u - 4*u = -f. Calculate the remainder when 3 is divided by ((-8)/12)/(2/u).
0
Let h = 105 - 103. What is the remainder when (-152)/(-12)*3/4*h is divided by 8?
3
Let q be (-1090)/4 - (-48)/(-32). Let j = -193 - q. What is the remainder when j is divided by 28?
25
Suppose -2*n = -r + 67, -4*r + 4*n - 5*n + 295 = 0. Let b(z) = z + 35. Let i be b(-13). Suppose i = -3*s + r. What is the remainder when 48 is divided by s?
14
Suppose 0 = 2*x - 3*y + 184, -3*x + 3*y - y - 276 = 0. Calculate the remainder when (2 - -22)/(6/4) is divided by x/(-10) + (-2)/10.
7
Suppose 4*r - 3*j - 109 = 0, -3*j = 2*r - 0*r - 59. Calculate the remainder when r is divided by 16.
12
Suppose -2*r - 18 = 2*n, -3*n + 3*r - 8*r = 37. What is the remainder when 94 is divided by ((-8)/6)/n*36?
10
Calculate the remainder when (-4 + 8)*93/6 is divided by 30.
2
Calculate the remainder when ((-288)/(-27))/(9/270) is divided by 7.
5
Suppose 5*r = 2*a + 14, -a = 2*r - r - 7. What is the remainder when 82 is divided by (a/6 - -1)/(9/84)?
12
Suppose 40 = -4*b + 8*b. Let l = 51 - b. What is the remainder when l is divided by 11?
8
Let p(z) = z - 3. Let h be p(-6). Calculate the remainder when 2 - (5 - 0 - 10) is divided by 2/(-4)*54/h.
1
Let n(f) = -f**3 + 7*f**2 - 4*f - 8. Let d = 0 - 0. Suppose d = 2*l + 3*l - 30. What is the remainder when 10 is divided by n(l)?
2
Let l(v) = -5*v + 135. Calculate the remainder when 119 is divided by l(15).
59
Let b(y) = y**2 + 420*y - 2529. Suppose 5*c = o + 45, 2*c - o - 30 = -3*o. Calculate the remainder when b(6) is divided by c.
7
Let c = -142 + 164. Calculate the remainder when c is divided by 2.
0
What is the remainder when 427 is divided by ((-360)/(-6))/(-10) + 146?
7
Let g = 6 - 4. Suppose -g*l = 5*s - 10*s - 14, -4*s - 8 = 0. Let b = 112 - 108. What is the remainder when b is divided by l?
0
Let b be (9 - 10)*-125*1. Let y = b - 86. Let a(q) = 3*q - 5. What is the remainder when y is divided by a(5)?
9
Suppose o = 5*r - 67, -4 = -r - o + 13. Calculate the remainder when 49 is divided by r.
7
Let i(n) = -4*n**2 + 19*n - 8. Let k be i(4). Suppose 3*r - 5*o = 0, 5 = k*r + o - 6*o. Calculate the remainder when 22 is divided by r.
2
Calculate the remainder when 3*(922/12 - (-15)/30) is divided by 65.
37
Suppose 27 = 5*u - 4*i, 0 = 3*u + 8*i - 3*i + 6. Let a = 8 - 13. Calculate the remainder when 384/40 + (-2)/a is divided by u.
1
Let q = 11 + -6. Suppose -q*o = -2*v + 106, -5*v + 292 = -0*v + o. Let a = -230 + 242. What is the remainder when v is divided by a?
10
Suppose -155*h = -154*h - 132. What is the remainder when h is divided by 15?
12
Let r(x) = 6*x**2 - 13*x + 52. Calculate the remainder when r(4) is divided by 45.
6
Let s = -65 - -67. What is the remainder when 1*s*(4 - -86) is divided by 46?
42
Suppose -3*a + 251 = -2*s - 0*s, -3*a = -3*s - 249. Let j = -50 - -69. What is the remainder when a is divided by j?
9
What is the remainder when ((-4)/10 - (-3285)/150)*10 is divided by 30?
5
Let r = 96 - 95. What is the remainder when 100 is divided by r/((-33)/34 + 1)?
32
Suppose 0*c - 116 = -2*p + 5*c, -2*p - 2*c + 116 = 0. Let r = p + -31. Calculate the remainder when 80 is divided by r.
26
Let r = -20 + 29. Suppose -2*w = -2*g - 16, 0 = 2*w - 5*g - 19 - r. Calculate the remainder when w is divided by 1.
0
Suppose -7*b = 5*c - 8*b - 1112, -4*c + b = -889. What is the remainder when c is divided by 25?
23
Suppose -24 = 2*o - 86. Let z = -38 + 47. Calculate the remainder when o is divided by z.
4
Let a = -361 + 520. What is the remainder when a is divided by 11?
5
Let f be ((-81)/(-6))/((-7)/(-14)). Let r = f - -86. Calculate the remainder when r is divided by 29.
26
Suppose -4*q + 8*q = -360. Let d(w) = 32*w + 1. Let i be d(-2). Let u = i - q. What is the remainder when u is divided by 10?
7
Let k be 2/4*4 + 1. Suppose 10 = -k*o + 5*o. Let t(y) = 6*y**2 - 4*y + 3. Calculate the remainder when t(2) is divided by o.
4
Suppose 19*g = 906 + 405. Let a(c) = 3*c + 3. What is the remainder when g is divided by a(5)?
15
Let z(q) = -50*q**3 + 2*q**2 + 2*q + 1. Let t = 23 + -20. Let s = t + 23. Calculate the remainder when z(-1) is divided by s.
25
Suppose 7*m + 7 - 63 = 0. Suppose 0 = -5*p + 34 - 9. Suppose -2*b + 12 = p*k - 58, 0 = -3*k + 3*b + 42. What is the remainder when k is divided by m?
6
Let b be 5*(23/30 - (-17)/(-102)). Suppose -2*l = 11*u - 8*u - 4, 0 = l + 4*u + b. Let r(n) = -n**2 - 6*n + 4. What is the remainder when r(-4) is divided by l?
2
Let o = 340 - 303. Calculate the remainder when 55 is divided by o.
18
Let m(y) = 4*y**2 - 23*y - 1. What is the remainder when 22 is divided by m(6)?
2
Suppose 5*a - 5*o = 10, 3*a + 3*o + 6 = 30. Let d be ((-108)/10)/((-1)/a). Suppose 0 = -2*q + d + 62. What is the remainder when q is divided by 15?
13
Let z(i) be the second derivative of 0 - 2*i - 2*i**3 + 1/20*i**5 - 3*i**2 - 13/12*i**4. What is the remainder when 64 is divided by z(14)?
20
Suppose -g - l = -47, -5*g - 35*l = -32*l - 227. Calculate the remainder when 382 is divided by g.
38
Let i(d) = d**2 + 2*d + 27. Let n(m) = -4*m - 5. What is the remainder when i(0) is divided by n(-5)?
12
Let n(l) = -2*l - 8. Let v be (0*(-2)/6)/1. Let j be n(v). What is the remainder when (156/j)/(-3)*8 is divided by 9?
7
Let v(n) = -n**3 + 3*n**2 - 4. Let u be v(3). Let a(y) = 5*y**2 + 12*y - 2. Let m be a(-4). Calculate the remainder when (-10)/u*948/m is divided by 20.
19
Let i = 1019 + -969