Let f(y) = y + 9. Let r be f(-4). Suppose 86 - r = 3*d. Calculate the remainder when d is divided by 16.
11
Let j(w) = w**2 - 3*w - 5. Suppose -3*m - 27 = 5*i, 3*m + 6 = 2*i - 0. Calculate the remainder when 63 is divided by j(m).
17
Suppose 5*m = 2*j + 535, -2*j = 3*m - 140 - 165. Let x(t) = -8*t - 5. What is the remainder when m is divided by x(-4)?
24
Let h = -40 - -82. Suppose 0 = -11*a + 24*a - 117. Calculate the remainder when h is divided by a.
6
Let w(q) be the third derivative of -q**4/12 - q**3/3 - 31*q**2. Suppose 5*b - 3*j + 25 = 0, b = -b - 4*j + 16. What is the remainder when 3 is divided by w(b)?
1
Let s = 8 - 5. Suppose 0 = 3*z - 4*f - 57, -81 = -s*z - f - 24. Let k = 13 - 2. Calculate the remainder when z is divided by k.
8
Suppose -108 = -9*y + 8*y. Suppose 2*d = -2*d + y. Calculate the remainder when d is divided by (-2)/(5/((-150)/4)).
12
Let l(z) = 11*z**2 - 3*z + 4. Calculate the remainder when 18 is divided by l(1).
6
Let r(a) = 186*a - 1431. What is the remainder when 162 is divided by r(8)?
48
Let z = 3367 + -3334. Suppose -w + f = -4, -w + f + 24 = 4*f. Calculate the remainder when z is divided by w.
6
Let f = -8 - -17. Let x be f/12*16/2. Suppose -o = -x*o + 265. What is the remainder when o is divided by 27?
26
Suppose -1 = -u - 3. What is the remainder when u/(-8) - 1855/(-20) is divided by 24?
21
Let u(l) = -7 + 3*l - 2*l + l. Let w be u(6). Suppose 5*n - 125 = w*h, -5*n = 3*h - 5*h - 119. What is the remainder when n is divided by 9?
5
Let l(w) = -w - 12. Let a = -10 - 7. Let c be l(a). Suppose -39 = -c*m + 51. What is the remainder when m is divided by 5?
3
Let i = -15 + 30. Let p = -61 + 90. Suppose 5*f = y + p, -5*y - 5 = i. What is the remainder when 12 is divided by f?
2
Suppose -13*u + 9*u + 440 = 0. Calculate the remainder when u is divided by 23.
18
Let q = -59 - -94. Suppose -8*n + 32 = -120. What is the remainder when q is divided by (-1)/5*(-1 - 4)*n?
16
Calculate the remainder when (2 - 1 - 61)*645/(-86) is divided by 41.
40
Let p(w) = 14 - 8 - w**3 + 8*w - 3*w**2 - 3*w. Calculate the remainder when 4 is divided by p(-4).
0
Let i be (-3)/(-2) - 1443/(-26). Let t = 60 - i. What is the remainder when 5 is divided by t?
2
Let a(c) = -c**2 - 12*c - 13. Let q be a(-10). Let o be (q - 3)/(7/(-168)). What is the remainder when 9/(-21) + o/(-28) is divided by 2?
1
Suppose 2105*o = 2112*o - 105. Let i = 96 - 42. Calculate the remainder when i is divided by o.
9
Suppose 0 = -13*i + 12*i + 752. What is the remainder when i is divided by 58?
56
Let v(b) = -b**3 + 3*b**2 + 11. Suppose -3*k + 6 = -3*x, 4*k - 2*x - 1 - 15 = 0. What is the remainder when v(0) is divided by k?
5
Let d(f) = -25*f + 39. Calculate the remainder when d(-8) is divided by 48.
47
Suppose -4*n = 3*n - 770. What is the remainder when n is divided by 55?
0
Suppose -12 = -2*v + 2*a, 13*v - 3*a = 11*v + 15. Suppose 0*s + 5*s + 2*z = 450, 4*s = -5*z + 377. What is the remainder when s/2 + v*-1 is divided by 11?
8
Suppose -7*r - 98 = -973. Calculate the remainder when r is divided by 48.
29
Suppose -5*f + 103 = 4*c, 5*f - 5*c = 4*f + 38. What is the remainder when f is divided by 6?
5
Suppose 7*c - 225 = 146. Suppose 3*o + 0*v - v - 81 = 0, 5*v + 41 = 2*o. Calculate the remainder when c is divided by o.
25
Suppose 0 = -6326*l + 6311*l + 29505. What is the remainder when l is divided by 10?
7
Let z = 39 - 23. Suppose z - 160 = -3*x. Calculate the remainder when x is divided by (-1 - 1)/(4/(-34)).
14
Suppose -3*x - 2*p + 378 = -547, 0 = -4*x - p + 1240. Suppose z - 316 + x = 0. Let q = 38 + -27. What is the remainder when q is divided by z?
1
Suppose 10*j + 6*j = 32. Suppose -5*s - j*q + 66 = 0, 0*s = -5*s + 2*q + 74. What is the remainder when 66 is divided by s?
10
Let o = -17 + 19. Let q be (0/((-8)/4))/o. Suppose 0 = -2*g - q*g + 2*j + 20, 8 = 4*j. Calculate the remainder when 35 is divided by g.
11
Let j = 79 - 55. What is the remainder when j is divided by 4 + ((-12)/20)/((-7)/105)?
11
Let r(x) = 2*x + 7*x - 3 - x**2 - 6. Suppose 3*o = -3*f + 36, 2*f + 4*o = 16 + 16. Calculate the remainder when f is divided by r(7).
3
Let t = 166 - 122. What is the remainder when t is divided by 23?
21
Let o be 24/9 - 1/(-3). Suppose -2*w + 13 = o*k, 3*w - 18 = k - 5*k. Suppose f - w*r = 23, f + r = -2*f + 90. What is the remainder when f is divided by 10?
9
Calculate the remainder when 526 is divided by 2 - (-38 + (-3 - 5)).
46
Let z = 172 + -96. What is the remainder when z is divided by 1/((45/(-35))/(-9))?
6
Suppose -788 = 6*u - 9098. What is the remainder when u is divided by 42?
41
Suppose 4*s + 4*w + 504 = 0, -346 = 5*s + 2*w + 275. Calculate the remainder when (-5)/(15/s) - 1 is divided by (-18)/(-12)*(-14)/(-1).
19
Let i(j) = 98*j**3 - 1. Let a be i(1). Suppose 5*s = a + 3. Suppose -113 = -11*r - 25. Calculate the remainder when s is divided by r.
4
Suppose 43 = 17*k - 195. Calculate the remainder when 35 is divided by k.
7
Let p(i) = -2*i**2 - 21*i + 11. Let o(t) = -5*t**2 - 43*t + 21. Let j(v) = 3*o(v) - 7*p(v). Calculate the remainder when j(11) is divided by 16.
15
Let l(y) = 2*y. Let o be l(-4). Let m be o/3*(-27)/36. Suppose -2*g = 3*k - 46, -m*g + 6*g = 5*k + 48. What is the remainder when g is divided by 6?
5
Suppose 30*o = 38*o - 383 + 7. Let a(m) = 2*m - 1. Calculate the remainder when o is divided by a(4).
5
Let q(z) = -z**2 + 6*z + 8. Let p be q(6). Let w = p - 6. Calculate the remainder when 540/39 - 7 - (-6)/39 is divided by w.
1
Suppose -k + 62 = 58. Let j(h) = 0*h**2 - 2*h + h**2 - h + 1. What is the remainder when 13 is divided by j(k)?
3
Suppose -2*r = 6*g - 5*g - 3, -28 = -2*r + 4*g. What is the remainder when (112/(6 - 2))/2 is divided by r?
2
Suppose v = -3*h + 464, -5*h + v = -436 - 324. Suppose -10*m = -m - h. Calculate the remainder when m is divided by 4.
1
Suppose -2*t + 7*t = 2*v - 11, 0 = -3*v - 4*t - 18. Calculate the remainder when 31 is divided by (-33)/(-2) - v/(-4).
15
Calculate the remainder when 394 is divided by -2*(-22)/(-77)*-7.
2
Suppose 0 = -10*d + 11 + 29. Calculate the remainder when 34 is divided by 10 + 3 + -5 + d.
10
Calculate the remainder when 111 is divided by 6/18*(74 - 5).
19
Calculate the remainder when 96 is divided by 17 - (-2)/4*2/1.
6
Let u(a) = a**2 + 17*a + 82. Calculate the remainder when u(-15) is divided by 14.
10
Suppose 2 = -0*w - w. Suppose 55 = 5*i + 5*v - 0*v, -2*v - 26 = -4*i. Let g = i + w. Calculate the remainder when g is divided by 3.
0
Suppose 25 = 5*r, -3*q - 4*r + 26 = -6*r. Let p be 2 + -1*2*2. Calculate the remainder when 9 is divided by ((-4)/8)/(p/q).
0
Let z = -114 + 124. What is the remainder when 21 is divided by z?
1
What is the remainder when 198 is divided by (15*5)/((-6)/(-4))?
48
Suppose 7*m = 7 + 28. Suppose 0 = 4*q + m*q - 234. Calculate the remainder when 103 is divided by q.
25
Let t(v) = v + 3. Let k be t(-1). Calculate the remainder when 52 is divided by (5/(-15))/(k/12) - -16.
10
What is the remainder when 54*(3 - (70/15 - 2)) is divided by 7?
4
Let a = 166 + -123. What is the remainder when a is divided by 5?
3
Suppose 6 = 4*k + 2*n, -n - 4*n - 25 = 0. Suppose 5*h - 20 = 0, 5*q - 38 = 3*h + 30. Calculate the remainder when 256/k + 6/(-2) is divided by q.
13
Suppose 0 = -3*w + c - 6, 2*c - 1 - 1 = -4*w. Let b(x) = -33*x + 1 + 10*x + 13*x. Calculate the remainder when b(w) is divided by 4.
3
Suppose 3*m + 185 = 8*m. Let n = 274 + -129. Calculate the remainder when n is divided by m.
34
Suppose -2*k = -3*k - 6. Let l(s) = -s**2 - 5*s + 7. Let w be l(k). What is the remainder when 17 is divided by ((-1)/w)/(2/(-6))?
2
Let g(t) = t**3 - 13*t**2 + 9*t - 11. Let c be g(12). Let k = c - -76. Calculate the remainder when k is divided by (1*-8)/(3/(-3)).
5
Suppose -2*u + 29 - 11 = 0. Suppose d - 60 = 1. Calculate the remainder when d is divided by u.
7
Let t(j) = -14*j - 184. Calculate the remainder when 202 is divided by t(-14).
10
Let x(o) = -23*o + 976. What is the remainder when x(40) is divided by 35?
21
Let n(r) = -r**3 - 7*r**2 - 7*r + 17. Let t be n(-7). Suppose 15*s - t = 9*s. What is the remainder when 54 is divided by s?
10
Suppose 2*c = 7*c - 5. Suppose p + c = 4. Suppose -2*b + p = -13. What is the remainder when 23 is divided by b?
7
Suppose 20 = 4*x 