Suppose 60 = 24*n - 18*n. Let s(x) = -11*x + 4. Calculate the remainder when s(-3) is divided by n.
7
Suppose -37*g = -35*g - 2*c - 48, 4*g - 93 = c. What is the remainder when 413 is divided by g?
22
Suppose -2 + 0 = 2*r. Let z be r/2 - 14/(-4). Suppose 5 - 13 = x + 5*v, z*x - 41 = -2*v. Calculate the remainder when 33 is divided by x.
16
Let w(v) = -25*v + 2. Calculate the remainder when w(-2) is divided by -29 - -34 - (-18)/2.
10
Suppose 4*p - 3*u - 66 = -u, -3*p - u + 62 = 0. Let s = p + -9. Calculate the remainder when s is divided by 3.
1
Let h(f) = 88*f - 607. Calculate the remainder when 168 is divided by h(7).
6
Let k = 2084 - 2080. Calculate the remainder when 53 is divided by k.
1
Suppose -63 = -5*a + 97. Let t be 1*-3 - a/(-8). Suppose 3*f = t + 32. Calculate the remainder when 20 is divided by f.
9
Suppose 2*k = 4*n - 148 - 18, 0 = -4*n - 3*k + 161. What is the remainder when 46 is divided by n?
5
Suppose l = 2*c - 53 - 23, -5*l + 175 = 5*c. Calculate the remainder when 258 is divided by c.
36
Suppose 13 = -3*u - 5*g, u - 10 + 1 = g. Suppose 3*r = -u*b + 195, b + 0 + 3 = 0. What is the remainder when r is divided by 7?
6
Let y = 140 + -113. Calculate the remainder when 214/2 - (-1 - -2) is divided by y.
25
Suppose -7*u = -91 + 28. Let c(d) = 11*d - 30. Calculate the remainder when c(u) is divided by 24.
21
Let b(d) be the second derivative of -1/2*d**2 + d + 0 + 6*d**3. What is the remainder when b(1) is divided by 12?
11
Suppose -8*k + 5*k = -12. Suppose 151 = k*l - 17. Calculate the remainder when l is divided by 12 + 2 + (1*-3 - 0).
9
Let c be 2/5 - 156/(-10). Let r = c + -11. Suppose 0 = -b + r + 17. What is the remainder when b is divided by 6?
4
Let l(b) = 35*b**2 + 9*b + 41. Calculate the remainder when l(-4) is divided by 63.
61
Let m = 444 - 432. Calculate the remainder when 67 is divided by m.
7
Suppose -k = -26 + 24. Suppose 0 = -2*f + 6*f. Calculate the remainder when k is divided by 0 - (f + 0 + -2).
0
Suppose 0 = 2*f + 481 - 737. What is the remainder when f is divided by 41?
5
Suppose 3*s + 6 = 3*z, 2*z + 0*z + 5*s - 11 = 0. Suppose 2*c - 17 = -z*a, 0 = -a - c + 2 + 2. What is the remainder when a is divided by (-5 - -1)/(-1) + -1?
0
Let z = -108 - -121. Suppose 2*t - 2*k + 5 - z = 0, -3 = -k. What is the remainder when t is divided by 5?
2
Suppose 6*k = 8*k - 182. What is the remainder when k is divided by 34?
23
Suppose 32*p + 43 = 427. Let l = -22 - -41. What is the remainder when l is divided by p?
7
Let o(k) be the second derivative of k**5/20 - 13*k**4/12 + k**3/2 - 3*k**2 - 17*k. Calculate the remainder when o(13) is divided by 7.
5
Let q = -111 - -122. What is the remainder when q is divided by (12 + -10)*(0 - (1 + -3))?
3
Suppose 2*w - 9 = -g + 3, 3*w = 2*g + 4. Suppose g*q - 50 = 14. Calculate the remainder when 61 is divided by q.
13
Let z = -15 - -37. Calculate the remainder when 41 is divided by z.
19
Let x(s) = -s**3 - 7*s**2 - 4*s + 2. What is the remainder when x(-7) is divided by 4 + -6 + 19 + -2 + 3?
12
Suppose -3*n - 11 = m, 2*m - 4*n + 7*n = -10. Calculate the remainder when 31 is divided by 0 + (3 - m) + 5.
3
Let t(w) = -2*w - 6. Let g(j) = -3*j - 12. Let l(x) = 2*g(x) - 5*t(x). Let u be l(3). Let c = 25 - u. Calculate the remainder when 9 is divided by c.
2
Suppose 915 = 2*y + 199. What is the remainder when y is divided by 41?
30
Suppose -201 = -3*k + 252. Let a = -94 + k. Calculate the remainder when a is divided by 78/4 - 2/(-4).
17
Calculate the remainder when 166*((-4)/(-10))/(2/10) is divided by 18.
8
Let x = -16 - -20. Suppose 120 = -x*a - 0*a. Let b = -15 - a. What is the remainder when 58 is divided by b?
13
Suppose 5*i - 97 = 448. Calculate the remainder when i is divided by 29.
22
Suppose -79*d = -84*d - 4*t + 172, 5*d + 2*t = 176. Calculate the remainder when 175 is divided by d.
31
Let n = 137 + -71. What is the remainder when n is divided by (3/((-252)/(-98)))/(2/12)?
3
Let d(p) = p**2 + p + 4. Let u = 337 + -331. What is the remainder when u is divided by d(0)?
2
Suppose 0 = -g + 11 + 35. Let w(i) = -i**2 - 11*i + 6. What is the remainder when g is divided by w(-9)?
22
Let o be 3 + 400/(-3) - (-7)/21. Let l = o + 182. What is the remainder when l is divided by 15?
7
Suppose -162 = -2*m - 4*m. What is the remainder when 45 is divided by m?
18
Let h be (-250)/(-5) - 0/(-1) - -1. What is the remainder when 8/(-3) - -2 - (-1411)/h is divided by 8?
3
Let k = -3 + 7. What is the remainder when (-70)/(-17) - (-6)/(-51) is divided by k?
0
Suppose -b = -5*s + 50 + 73, -2*s + b + 48 = 0. Let r = 38 - -104. Suppose r = 3*p - 227. What is the remainder when p is divided by s?
23
Let z(f) = -f**2 - 14*f - 3. Let l(v) = v**3 + 19*v**2 + 24*v + 132. What is the remainder when z(-6) is divided by l(-18)?
21
Suppose 0*u = -4*u + 892. Suppose -u - 67 = -10*h. Calculate the remainder when h is divided by 10.
9
What is the remainder when 5 + 219 + -7 - (0 - -5) is divided by 23?
5
Suppose -94 = -3*x + 8. Calculate the remainder when 475 is divided by x.
33
Let p(j) = 2*j**2 + 2*j + 2. Let u be p(0). What is the remainder when ((-12)/(-36))/((u + -1)/249) is divided by 42?
41
Suppose -4*x + 1661 - 81 = 0. Calculate the remainder when x is divided by 129.
8
Suppose 3*v - 34 = -1. Suppose -62 = -v*m + 191. Calculate the remainder when 87 is divided by m.
18
Suppose 3*b - 2*s = 7*b + 46, -20 = 5*b - 5*s. What is the remainder when 92 is divided by (-72)/(-14)*(-42)/b?
20
Let w(s) = 13*s + 20. Calculate the remainder when 352 is divided by w(3).
57
What is the remainder when (-10)/(-45)*(2 + -5)*-558 is divided by 34?
32
Suppose n + 1 - 6 = 0. Suppose 60 = n*q - 4*q. Calculate the remainder when q is divided by 21.
18
Let l be ((-4)/(-10))/(4 - (-8084)/(-2020)). Let j = 285 + l. What is the remainder when j is divided by 29?
25
Let v(o) = -o**3 - 5*o**2 - 6*o - 5. Let k be v(-4). Let r be -1*(k + -5 + 3). Let j = r + 11. What is the remainder when j is divided by 7?
3
Let k = 1140 - 1009. What is the remainder when k is divided by 22?
21
Let w = -394 + 476. Calculate the remainder when w is divided by 12.
10
Suppose -1298 = -22*c - 220. Calculate the remainder when 290 is divided by c.
45
Suppose -6*w - 128 = -5*p - 4*w, 135 = 5*p + 5*w. Let m = p + -11. What is the remainder when 133 is divided by m?
13
Suppose 3*n - 24 = 5*n - d, -6 = 3*d. Let v(c) = -c**2 - 22*c - 12. What is the remainder when v(n) is divided by 27?
24
Suppose -3*s - 2*i = -i - 61, -s + i + 19 = 0. Suppose 3*b - s = n, -4*b = 3*n - 8*n - 89. Let v = 1 - n. What is the remainder when 33 is divided by v?
15
What is the remainder when 278 is divided by -15*(-6)/9 - (3 + 3)?
2
Let o(a) be the second derivative of a**4/3 - a**3/6 - 8*a**2 + 30*a. Calculate the remainder when o(-6) is divided by 46.
42
Let r(t) = 13*t - 16. Let x be r(10). Suppose x = 8*b - 5*b. Let m(q) = 13*q. Calculate the remainder when b is divided by m(1).
12
Suppose -3*n = -3*k - 33, -3*k - 4*n + n - 39 = 0. Let v(q) = q**2 + 10*q - 5. What is the remainder when 74 is divided by v(k)?
17
Let x(t) = -t**3 - 3*t**2 + 3*t - 3. Suppose 0 = -p + 6*p - 30. Suppose -8 = 4*j, 3*i + 5 = 2*j - p*j. What is the remainder when i is divided by x(-4)?
0
Suppose -4*b + 11*p + 136 = 15*p, -2*p = -b + 25. What is the remainder when b is divided by 24?
7
Let x(i) = i**2 - 2*i - 5. Let g be x(6). Suppose -5*q - 15 = -5*l, 3*l + l - g = -3*q. Calculate the remainder when (0 - 38)/(10/(-5)) is divided by l.
3
Suppose 0*d - 3*d + 105 = 0. Suppose 2*v + 5*m = -0*m + d, 2*v + 4*m - 30 = 0. Suppose 0 = 2*r + 53*r - 110. What is the remainder when v is divided by r?
1
Let w = 175 - 152. What is the remainder when 135 is divided by w?
20
Let m = -377 + 388. Let l(x) = 22*x - 2. What is the remainder when l(5) is divided by m?
9
Suppose 22 + 253 = 10*d - 95. Let x(m) = -24*m. Calculate the remainder when x(-3) is divided by d.
35
Let b(o) = -o**3 - 77*o + 69*o + 2*o**3 - 15 + 8*o**2. Calculate the remainder when 144 is divided by b(-8).
46
Suppose -39*w = -33*w - 354. Suppose -w*z - 24 = -62*z. Calculate the remainder when ((-10)/6)/((-2)/18) is divided by z.
7
Suppose -2419*v = -2414*v - 2585. What is the remainder when v is divided by 37?
36
Calculate the remainder when 135 is divided b