t is the remainder when s is divided by 7?
5
Let f(p) = -5*p**2 + 106*p - 15. Let t(s) = 3*s + 5. What is the remainder when t(4) is divided by f(21)?
5
Suppose -2*q = -15 - 29. Let k = 4 + 2. Let f(d) = 13*d - 15. Calculate the remainder when f(k) is divided by q.
19
Let y(w) = w**2 + 6*w + 9. Let i be y(-8). Suppose 5*z - z - 66 = u, 0 = -2*z + 2*u + 36. Let n = i - z. What is the remainder when 24 is divided by n?
6
Suppose 5*h - 172 = -27*x + 25*x, -4 = -4*x. What is the remainder when 101 is divided by h?
33
Suppose -4*z = d + 111 + 77, -188 = 4*z + 3*d. Let q be z/(-4) + 1/4. Suppose -q + 36 = 4*f. Calculate the remainder when f is divided by 4.
2
What is the remainder when -53*(-5 - -4) + 6 is divided by 6?
5
Suppose 4*r - 7 = 3*j + 32, -9 = 2*j + 3*r. Let l = -11 - j. Let f(n) = -9*n - 1. What is the remainder when 50 is divided by f(l)?
16
Let c(o) be the first derivative of o**3/3 + 3*o**2/2 - 5*o - 2. What is the remainder when 115/3 + (-4 - -8)/(-12) is divided by c(-6)?
12
Let q = -15 + 11. Calculate the remainder when 88 is divided by ((0 - -3) + q)/(3/(-39)).
10
Suppose -2*p = -7*l + 2*l + 876, 0 = 3*l + p - 530. Suppose 7*m + 64 = l. What is the remainder when 59 is divided by m?
11
Let d be -20 - (-16 - -4)/(-3). Let p = d + 48. Suppose 0*z + 12 = n + z, -2*n + p = -z. What is the remainder when n is divided by 7?
5
Suppose -3*b - 525 = -8*b. Let v = 21 + -4. What is the remainder when (0 - 20)*(-168)/b is divided by v?
15
Let a be (1 + -1)/(10 - 7). Suppose a*y - 5*y + 15 = -5*g, -3*g = -5*y + 25. Suppose 0 = -m - 4*m + 115. Calculate the remainder when m is divided by y.
7
Let s be 4 + 4*(-3)/(-12). Suppose 0 = s*d - 0 - 10. Calculate the remainder when 7 is divided by d.
1
Suppose -2*w - 11 - 11 = 0. Let s = -11 - w. Suppose 4*m = -2*u - u + 76, -m - u + 18 = s. Calculate the remainder when 42 is divided by m.
20
Let z = -94 + 203. Suppose z = -3*p + 646. What is the remainder when p is divided by 36?
35
Let y be 3/(-6)*-28 - 4. Calculate the remainder when y/(-4)*72/(-4) is divided by 12.
9
Suppose -174 + 6 = -12*k. Calculate the remainder when 65 is divided by k.
9
Let p(o) = -11*o - 504. What is the remainder when 43 is divided by p(-48)?
19
What is the remainder when 182/(1/1) + -1 is divided by 31?
26
Suppose -4*b + 2*b + 18 = 0. What is the remainder when 18 is divided by b?
0
Let f = -40 - -45. Suppose 2*p - 2*r = -8, 0*r + f = -5*p + 2*r. What is the remainder when p is divided by 1?
0
Suppose -18*t + 20*t + 30 = 0. Suppose -2*s = 4*h - 14, 3*s - h = -4*h + 33. Let m = s - t. What is the remainder when 117 is divided by m?
27
Calculate the remainder when (10/20)/(1/72) is divided by 20.
16
Let u be 4*1*482/8. Let b be -1*6/3 + u. Let n = -135 + b. What is the remainder when n is divided by 21?
20
Let o = -36 - -39. Suppose -4*r + 4*q - 36 = -108, -o*r + 50 = -2*q. What is the remainder when 68 is divided by r?
12
Let d = 31 + -9. Suppose 4*i = 5*x - 43, -2*i - d = 2*i + 2*x. Let n = i + 18. Calculate the remainder when 30 is divided by n.
8
Let v = -22 - -37. Let g(b) = 2*b**2 - 5*b + 18. What is the remainder when g(5) is divided by v?
13
Let n = 1440 + -1415. Calculate the remainder when 165 is divided by n.
15
Let p = 953 + -938. What is the remainder when 278 is divided by p?
8
Suppose 40*i - 250 = 30*i. Calculate the remainder when i is divided by 7.
4
Suppose -h + 71 = -y, 178*h - 181*h + 211 = -5*y. What is the remainder when h is divided by 25?
22
Let f be 2/(-15) - 3542/(-15). Let g = 363 - f. What is the remainder when g is divided by 32?
31
Suppose x - 25 = -4*x, 184 = 4*z - 4*x. Let n = -40 - -10. Let p = z - n. Calculate the remainder when p is divided by 28.
25
Let k(f) = f + 1. Let d be k(3). Suppose 4*a = 12, -d*a = -s + 2 + 5. Let b = 9 + 1. Calculate the remainder when s is divided by b.
9
Suppose 0 = -f + 13*f - 2045 + 593. What is the remainder when f is divided by 1/((-2)/82*-1)?
39
Suppose -2*f = -4*h - 49 - 9, -4*f - 4*h + 80 = 0. Let j = 39 - f. Calculate the remainder when 62 is divided by j.
14
Suppose 7*z = 348 + 394. Calculate the remainder when z is divided by 45.
16
Calculate the remainder when -2 + (-640)/(3 - 13) is divided by 11.
7
Let a = 97 + -62. Let o(w) = 7*w**3 + 1. Let s be o(1). Calculate the remainder when a is divided by -2*(-38)/s*2.
16
Suppose 0 = -2*t + 3 + 13. Suppose 2*j + 2*j - 2 = p, 2*j = 5*p - t. Calculate the remainder when p/4 - (-1)/2 is divided by 1.
0
Let m(h) be the first derivative of h**3 - 3*h**2/2 - h - 1. Let t = -106 - -109. What is the remainder when 66 is divided by m(t)?
15
Let y be 5 - -1 - (8 - 7). Suppose y*q - 58 = 4*x, 3*q - 6*x + 2*x - 38 = 0. Calculate the remainder when 17 is divided by q.
7
Calculate the remainder when 303 is divided by 1 - 1 - 7 - -45.
37
Let g(f) = f**2 - 15*f + 15. What is the remainder when (-12)/15*(-645)/6 is divided by g(15)?
11
Let x = -54 + 49. Suppose 26 + 13 = 3*o. Calculate the remainder when o is divided by 5/15*x*-3.
3
Let g = -22 + 30. Suppose g*r - 21 = 5*r. Suppose 0 = -r*t + 2*t + 90. Calculate the remainder when 53 is divided by t.
17
Suppose 3*b - 111 - 9 = 4*f, 2*f + 126 = 3*b. Calculate the remainder when 571 is divided by b.
43
Let i be 18/(-45) + 4154/10. Suppose 4*w - x = i, 3*w - 2*x + 220 = 5*w. Calculate the remainder when (-8)/32 - w/(-4) is divided by 9.
8
Suppose 0 = -27*t + 31*t. Suppose -q = -t*q - 18. What is the remainder when 51 is divided by q?
15
Suppose z - 11 - 17 = 0. Let g(y) = 2*y**3 - 9*y**2 + 2. Calculate the remainder when g(6) is divided by z.
26
Calculate the remainder when 70*(2 + 5 + -5) is divided by 12.
8
Let q(t) = t**3 - 9*t**2 + 18*t - 22. Suppose -5*d + 12 = 2*j - 28, 0 = -2*j - 10. What is the remainder when d is divided by q(7)?
4
Suppose -263*s + 244*s = -3211. What is the remainder when s is divided by 61?
47
Let l(i) = i**2 + 7*i - 10. Let n be (2 - 4)/(5/(-40)). Let p be 36/n*(-4)/1. Calculate the remainder when 29 is divided by l(p).
5
What is the remainder when 118 is divided by -12*4/112 - 342/(-14)?
22
Suppose 3*l - 21 - 15 = 0. Let t(y) = -y**3 + 11*y**2 + 12*y + 12. What is the remainder when 22 is divided by t(l)?
10
Let m = 17 - -4. Calculate the remainder when (-789)/(-12) - (-5)/20 is divided by (-3 - (-3 + 4)) + m.
15
Suppose 0 = 11*z - 24*z + 338. Calculate the remainder when 180 is divided by z.
24
Let y be 80/(-12)*(-12)/10. Let x = y - 10. Calculate the remainder when ((-1)/x)/(5/470) is divided by 12.
11
Let n = 890 - 869. Calculate the remainder when 113 is divided by n.
8
Let k(i) = 2*i**2 + 7*i + 1. Suppose 107 = 4*g + 5*a, 3*g - 52 = -a + 31. Calculate the remainder when g is divided by k(-5).
12
Let r = -581 + 646. What is the remainder when r is divided by 45?
20
Let w = 255 + -221. Calculate the remainder when 304 is divided by w.
32
Suppose -10 = -5*b + 5*j, j - 10 = -b - 0. Suppose q = -d + 37, 3*d + 2*q - 112 = -b. Calculate the remainder when d is divided by 17.
15
Let o be ((-3)/6)/(4/48). What is the remainder when 37 is divided by 1/((2 + o)/(-80))?
17
Let u(t) = 20*t**2 - 5. Suppose 38*v + 10 = 43*v. Calculate the remainder when u(v) is divided by 26.
23
Let f(w) = 14*w - 124. Calculate the remainder when 363 is divided by f(14).
3
Let b be ((-20)/(-8))/((-2)/4). Let i = 9 + b. Suppose -i*y = 5*s - 28, 0*y + s + 16 = y. Calculate the remainder when 45 is divided by y.
9
Let p = -111 + 113. Suppose -3*y = 4*w - 109, p*y - 6*y + 5*w = -197. What is the remainder when 214 is divided by y?
42
Calculate the remainder when 54 is divided by (-36)/84 + 408/21.
16
Suppose -18 = -0*p - 6*p. Suppose 0 = 5*x - p - 67. What is the remainder when 37 is divided by x?
9
Suppose 43*j - 128 = 35*j. Calculate the remainder when 74 is divided by j.
10
Let o(p) = -11*p - 45. What is the remainder when o(-13) is divided by 34?
30
Let l = 274 + -253. Calculate the remainder when 81 is divided by l.
18
Let r(p) = -p**3 + p**2. Let x(d) = 4*d**3 - 4*d - 2. Let u(n) = -2*r(n) - x(n). What is the remainder when u(-3) is divided by 8?
2
Let r = -268 - -278. What is the remainder when 329 is divided by r?
9
Suppose 0 = -7*d - 33 - 37. Calculate the remainder when 8 is divided by (-42)/d - (-16)/20.
3
Let n = -933 - -937. Suppose -5*i + 99 = -2*h, 4*h = -3*i