 - 127 = 0. Let s = 43 + d. Calculate the remainder when 69 is divided by s.
15
Let f(v) be the second derivative of -27*v**5/20 - v**4/12 + v**3/6 + v**2/2 + 6*v. Calculate the remainder when 129 is divided by f(-1).
25
Let c(x) = -92*x - 155. Calculate the remainder when c(-4) is divided by 71.
0
Suppose -q - 145 = -2*u, -2*u + 6*u - 287 = -q. Calculate the remainder when 2156 is divided by u.
68
Let h be (5 + -4)*-79 + 0. Let m = h - -138. Calculate the remainder when 176 is divided by m.
58
Let w(m) = -m**3 + m**2 - 4*m + 2. Let o be w(3). Suppose 2*k = 13 + 3. What is the remainder when ((-6)/(-8))/((-1)/o) is divided by k?
5
Let x(z) = -10*z + 9. What is the remainder when x(-10) is divided by 16?
13
Suppose 4*d = 3*a - 35, 4*a + 5*d + 3 + 2 = 0. Let x = a - 2. Let n(q) = 2*q**2 + 4*q - 1. Calculate the remainder when n(-3) is divided by x.
2
Let q(j) = 2*j**2 + 14*j - 13. Calculate the remainder when 319 is divided by q(-8).
1
Let d be (4/((-4)/(-5)))/1. Suppose -9 - 21 = -d*n. Calculate the remainder when 21 is divided by n.
3
Suppose c + i - 5 - 2 = 0, -2*i - 41 = -3*c. Calculate the remainder when 394 is divided by c.
9
Let f = -37 - -37. Suppose f = 5*i - 3*z + 4, -3*i + 5*z = 2*z + 6. What is the remainder when i is divided by 1?
0
Suppose -3*u - i - 1 = 0, -2*u + 3*i = -5*u + 3. Let x(n) = 8*n**2 + 8*n**2 + 2 - 2*n**2 + 2*n - 4*n**2. Calculate the remainder when 27 is divided by x(u).
7
Let f(c) = -c**3 - 6*c**2 + 4*c + 44. Calculate the remainder when f(-9) is divided by 15.
11
Suppose 0 = -2*y - 0 + 2. Let u(d) = 13*d**3 - d + 1. Let h be u(y). Suppose -1 = t - h. What is the remainder when 46 is divided by t?
10
Let k(n) = n**3 - 7*n**2 - 9*n + 9. Let b be k(8). Let c = b - -5. Calculate the remainder when c is divided by 5.
1
Suppose 4*f + 4*w = 88, 2*w = 4*f - 2 - 62. Let b(q) = q**2 + 7*q - 7. What is the remainder when b(-12) is divided by f?
17
Suppose -419*k + 395*k + 672 = 0. What is the remainder when 1/((-2)/(-222)*1) is divided by k?
27
Let c(u) = 3*u + 10. Let i = -20 - -15. Let v be c(i). What is the remainder when 120 is divided by -3 + 47 - (8 + v)?
38
Suppose 3*s + 53 = -2*n + 210, 4*s - 214 = -5*n. Calculate the remainder when s is divided by 28.
23
Let n(a) = a**2 + a - 3. Let o be n(-3). Suppose 0 = o*z - 4*z + 10. Calculate the remainder when 47 is divided by z.
7
Let d(m) = m + 16. Let h be d(-11). Suppose -4*l + 7 = -h, -2*l = -5*j - 196. What is the remainder when (4/1)/((-4)/j) is divided by 13?
12
Suppose 2*c + 14 = -j, -2*j - 5*c = -5*j - 20. Calculate the remainder when 81 is divided by 4/j - 284/(-10).
25
Let c = 2057 + -1460. Calculate the remainder when c is divided by 24.
21
Suppose -6*q + 4*q = f - 8, 0 = 3*q + 5*f - 12. Calculate the remainder when 258 is divided by q.
2
Suppose 3*h + 0*h + 607 = 4*s, 0 = 3*h + 3. What is the remainder when s is divided by 48?
7
Let o(s) = 7*s**3 - 2*s**2 - 5*s + 7. Calculate the remainder when 89 is divided by o(2).
44
Suppose 8*k - 3*k = 0. Let i = k + 2. Suppose -5*h = -i*h - 72. What is the remainder when h is divided by 13?
11
Suppose -55*y + 65*y - 440 = 0. Calculate the remainder when 82 is divided by y.
38
Suppose 8*h = -5*h + 3*h. Suppose 5 = 5*j - h. Calculate the remainder when 6 is divided by j.
0
Let b be 2/(-4) - (0 + 93/(-6)). Let i = 89 - b. What is the remainder when i is divided by 19?
17
Let h(p) = -15*p - 38. Calculate the remainder when h(-8) is divided by 30.
22
Let u be (2*(-1 + -1))/(-2). Suppose -13*q - 2*q + 30 = 0. Suppose -4*c = -u*s - 0*s - 34, -38 = -4*c - q*s. Calculate the remainder when 16 is divided by c.
7
Let l(i) = 6*i**2 - 63*i - 24. What is the remainder when 333 is divided by l(12)?
81
Suppose 16*v - 27 = 7*v. Suppose -51 = -v*o - 12. Calculate the remainder when 34 is divided by o.
8
Let q = -157 + 161. Suppose -n = -4*n + 12. Suppose 2*b - n*p = -8, -q*b = -5*p + 7 - 3. What is the remainder when 5 is divided by b?
1
Let u be (3/2)/(5/(-20)). Let v be (u/(-2) - 1) + 3. Suppose 1 - v = -y. What is the remainder when 12 is divided by y?
0
Let n be (17/(-68))/(1/(-20)). Suppose -x - 4 = -3*a, -8 = -n*a + 2*x - 2. Suppose -4*k - 4 = -28. Calculate the remainder when k is divided by a.
0
Let t = 81 + -77. Suppose j = r - 2*j - 1, t*j = -3*r + 68. Calculate the remainder when 55 is divided by r.
7
Suppose -1769 = 443*h - 444*h. What is the remainder when h is divided by 15?
14
Let c(r) = r**3 - 14*r**2 - r + 17. Let s be c(14). Calculate the remainder when -4 + 9 + s + 0 is divided by 2.
0
Let i(c) = -c**3 - 48*c**2 - 8*c + 34. Calculate the remainder when i(-48) is divided by 105.
103
Let r = 31 - 31. Suppose 2*k - k + 492 = r. Calculate the remainder when 3/(4/k*-9) is divided by 15.
11
Let a(p) = 10*p - 6. Let q be a(-7). Let f = -26 - q. Calculate the remainder when 148 is divided by f.
48
Calculate the remainder when ((-280)/84)/(((-16)/30)/4) is divided by 3.
1
Suppose -4*r = 3*w - w - 432, -216 = -2*r - 3*w. What is the remainder when r is divided by (-5 - 2)/(-7) + 18?
13
Suppose o - 4 = 0, -8*r + 20 = -4*r + 3*o. Suppose 0 = -r*l - f + 211, -2*f + 311 + 217 = 5*l. What is the remainder when l is divided by 12?
10
Suppose -76*l - 32 = -84*l. What is the remainder when 27 is divided by l?
3
Let n = -35 - -38. Let v be (-1)/4 + (-42)/(-8). Suppose -3*a - 55 = -n*q + 8, q - 9 = -v*a. What is the remainder when q is divided by 11?
8
Let f = -64 + 60. Calculate the remainder when 36 is divided by f - 0 - (-1 + -25).
14
Suppose 38*s + 108 = 42*s. What is the remainder when s is divided by 16?
11
Suppose 4*v - 6 = 110. Suppose 2*q = -5*z + 36, -65*q - 2*z + 40 = -61*q. What is the remainder when v is divided by q?
5
Calculate the remainder when 79 is divided by 43 - ((-9)/6 - 7/(-2)).
38
Suppose -z + 2*z = -2. Let q = 5 + z. Suppose -q*c + x + 26 = -x, 3*c + x - 23 = 0. Calculate the remainder when 29 is divided by c.
5
Let u(s) = -s**3 + 15*s**2 - 13*s - 2. Calculate the remainder when u(14) is divided by 8.
4
Suppose 5*i - 698 = -j, 5*i - j = j + 704. Let g = 147 - i. Calculate the remainder when 31 is divided by g.
3
Let t(a) = 49*a**2 + a. Let x be ((-2 + 10)/4)/(-2). Let y be t(x). Suppose 0 = -j + 4*j - y. Calculate the remainder when 62 is divided by j.
14
Let z(g) = -60*g + 25 + 119*g - 60*g. Let y(i) = i**3 + 8*i**2 + 9*i + 7. Calculate the remainder when y(-6) is divided by z(11).
11
Let c = -487 + 491. What is the remainder when 151 is divided by c?
3
Let q(h) = h**3 + 8*h**2 + 13*h + 7. Calculate the remainder when 29 is divided by q(-4).
10
Let c(u) be the second derivative of 19/6*u**3 - 17/12*u**4 - 1/20*u**5 + 8*u + 0 + 10*u**2. What is the remainder when 3 is divided by c(-18)?
1
Suppose -3*t + 6*w - 7 = 2*w, 3*w = -3*t + 21. Suppose -4*c + k = -10, 0*k = 5*c + t*k - 21. Calculate the remainder when 13/(1/(-1 + c)) is divided by 9.
8
Suppose l + 0*s - 13 = -s, 3*l - 3*s - 69 = 0. Let y = l + 21. Calculate the remainder when y is divided by 14.
11
Let r = -11 - -28. Suppose -6*i = -i + 45. Let z = 15 + i. What is the remainder when r is divided by z?
5
Calculate the remainder when 7659/18 - (-45)/(-10) is divided by 84.
1
Let v(o) = -2*o**3 - 6*o**2 + 11*o + 28. What is the remainder when v(-6) is divided by 36?
34
Suppose 435 = 17*c - 1350. Let r(z) = 18*z**3 + 2*z**2 - 3*z + 1. Calculate the remainder when c is divided by r(1).
15
Suppose -9*j + 11*j + 2 = 0. Let l(g) = -g**2 - 2*g + 1. Let y be l(4). What is the remainder when 43 is divided by j/2*(1 + y)?
10
Let l(q) = -q**3 - 38*q**2 - 38*q + 9. What is the remainder when 321 is divided by l(-37)?
45
Suppose 15*w - 1952 = -407. What is the remainder when w is divided by 27?
22
Let j(a) = 5*a**2 - 34*a - 69. What is the remainder when j(10) is divided by 12?
7
Suppose 5*o = 4*w - 8*w + 147, -2*o + 5*w = -39. Let y(q) be the first derivative of q**2/2 + 16*q - 16. What is the remainder when o is divided by y(-9)?
6
Suppose -l = 3*l - 1276. Suppose -2*v - 27 + l = 0. What is the remainder when 34 is divided by 8/(-32) - v/(-8)?
16
Suppose 3*i + 3*n = i - 4, 0 = 3*i + 4*n + 6. What is the remainder when 23 is divided by -3 + (-3 - i)*-17?
9
Let q(f) = f**3 - 3*f**2 - 9*f + 9. Let c be q(5). Calculate the remainder when 32 is divided by (-7)/c - ((-210)/(-