 -2*q = -5*f + 566, 2*f - 3*q - 187 = 46. Calculate the remainder when f is divided by 23.
20
Suppose -13*b + 192 = -107. Calculate the remainder when b is divided by 6.
5
Let a = -223 - -425. Suppose -4*f + a = 3*l, 204 = 4*f + 4*l - 0*l. Calculate the remainder when f is divided by 18.
13
Let z(j) = 2*j**2 + 8*j + 3. Calculate the remainder when z(-9) is divided by (128/(-10))/(20/(-50)).
29
Suppose -45*o = -46*o + 14. Calculate the remainder when 65 + (-4)/((-2)/2) is divided by o.
13
Let m(x) = x - 5. Let k be m(0). Let o = k + 31. What is the remainder when 103 is divided by o?
25
Suppose 14*t - 351 - 391 = 0. Suppose -4*m = -3*w + t, -2*m + 0*m = 2*w - 26. What is the remainder when 57 is divided by w?
12
Let k be (-32)/6*3/(-2). What is the remainder when 76 is divided by (k/(-20))/(1 - (-112)/(-110))?
10
Suppose 25*b = 18*b + 7. What is the remainder when 65 is divided by (18 - -5) + -5 - b?
14
Suppose 72 = -5*f + f. Let a = f - -29. Let p(d) = -2*d**2 + 24*d + 17. What is the remainder when p(12) is divided by a?
6
Let s = -1449 - -1469. What is the remainder when 270 is divided by s?
10
Let j be (-6)/4*-2 - 43. Calculate the remainder when (-64)/10*(-35)/14 is divided by (-6)/9 - j/6.
4
Let o be (-2 + 920/12)*9. Calculate the remainder when (3 + 0)/(3 - o/226) is divided by 29.
26
Let f(r) = -r**2 + 9*r + 31. Let x be f(15). Let j = x - -71. Calculate the remainder when 22 is divided by j.
10
Let y = -86 + 287. Suppose 2*s - 174 = -3*o - o, 5*o = 2*s - y. Suppose 2*k - k + 5*v = 33, 5*k = -v + s. Calculate the remainder when 69 is divided by k.
15
Let h = 4 + 4. Suppose h + 2 = 5*a. Suppose -2 = -a*d + 12. Calculate the remainder when 19 is divided by d.
5
Calculate the remainder when 71 is divided by (0 - 8) + (49 - 25).
7
What is the remainder when 229 is divided by (32/12 - 2)*(4 - -68)?
37
Calculate the remainder when 109 is divided by 8/(32/3) + 5253/68.
31
Suppose -44*r + 115 + 677 = 0. Calculate the remainder when 1 + (0 - (-2 - 68)) is divided by r.
17
Let i(r) = -r + 8. Let l be i(0). Suppose -34*u + 29*u + 230 = 0. What is the remainder when u is divided by ((-18)/l)/(9/(-48))?
10
Let j be 88/(-32) + 1/(-4). Let l = -16 - -25. Calculate the remainder when 26 + (-1)/(-3)*j is divided by l.
7
Suppose -d - 5*d + 384 = 0. Calculate the remainder when d is divided by 14.
8
Let i = -374 + 399. What is the remainder when i is divided by 13?
12
Let s(t) be the second derivative of t**5/20 - 7*t**4/12 - 5*t**3/6 + 7*t**2/2 + 3*t. What is the remainder when s(8) is divided by 17?
14
Suppose -50*a + 81 = -47*a. Calculate the remainder when 66 is divided by a.
12
What is the remainder when -2 - -2 - 9*(-3357)/27 is divided by 35?
34
Suppose -3*x - 3*l = l - 116, 0 = 2*x + 2*l - 76. What is the remainder when x is divided by (-427)/(-21) + 1/(-3)?
16
Let l = -5 + 17. Suppose 1773 = -o + 1832. What is the remainder when o is divided by l?
11
Let f = 40 + -29. What is the remainder when f is divided by ((-18)/15)/((-2)/5)?
2
Let r(o) = o**3 + 9*o**2 - 3*o + 17. Calculate the remainder when r(-8) is divided by 25.
5
Suppose -31*k + 53 = -1001. What is the remainder when k is divided by -2 - ((-8)/(-4) - 24)?
14
Suppose 469 = 4*l - 3*c, -c + 0*c = -5. Suppose 2*a = 40 + 22. Calculate the remainder when l is divided by a.
28
What is the remainder when 56 is divided by 135/5 + 2 - 9/(-3)?
24
Let v(z) = 6*z + 13. Let t be v(9). Suppose -57 - t = -4*o + 2*m, 3*o - 103 = 4*m. What is the remainder when 85 is divided by o?
27
Let i(v) = v**3 - 8*v**2 - 2*v - 5. Let h be i(8). Let b = 5 - h. Let z = -218 + 346. What is the remainder when z is divided by b?
24
Suppose 100 = 3*r - 0*r - 4*a, -5*r - a = -205. Calculate the remainder when 318 is divided by r.
38
Suppose -5*l + 5 = 2*f - 21, 4*f - 5*l - 52 = 0. Calculate the remainder when 19 is divided by f.
6
Let q be (9/4)/(15/80). Let h = q - 17. Calculate the remainder when 29 is divided by h/10 - 17/(-2).
5
Let j(z) = -4*z**3 + 3*z**2 + 3*z + 1. Let f be 3/(-4) - 1602/(-24). Suppose f - 11 = 5*o. What is the remainder when j(-2) is divided by o?
6
Let w(c) = c**3 + c**2 + c - 1. Let a(t) = 5*t**3 + 3*t**2 + 5*t - 92. Let s(b) = -a(b) + 4*w(b). What is the remainder when s(0) is divided by 15?
13
Let f(k) = k**2 + 12*k + 15. Let u be f(-13). Let s be 8/u*28/4. Calculate the remainder when 86/(s/1) + 3 is divided by 12.
10
Let w = 9 - 0. Suppose 3*m + 93 = 4*p, -m - 15 = -p + w. Calculate the remainder when 146 is divided by p.
20
Let p(d) = d**3 - 16*d**2 - 12*d - 21. Calculate the remainder when 379 is divided by p(17).
59
Suppose -2*x - 2 = 2*t, -3*t + 3*x + 1 = -14. Let g(d) = 7*d - 37. What is the remainder when g(6) is divided by t?
1
Let o = 20 + -41. Let n = 22 + o. Calculate the remainder when 53 is divided by n/(-5) + (-616)/(-55).
9
Let u(m) = 4*m - 2. Let b be u(1). Let f(y) = 7*y**2 - 4*y + 2. Suppose s + 24 = 5*s. What is the remainder when f(b) is divided by s?
4
Suppose 5*s = 2*c + 212, -c + 4*c - 232 = -5*s. Calculate the remainder when s is divided by (23/2)/((-1)/(-2)).
21
Let u(f) = -5*f + 8 + 9 + 2 + 2. Let o be u(-9). Let a = o - 40. Calculate the remainder when a is divided by 7.
5
Let a = 401 + -381. Calculate the remainder when 140 is divided by a.
0
Suppose -152*o - 167*o - 1720 + 14799 = 0. Let r = 54 - 32. Calculate the remainder when o is divided by r.
19
Let o(g) = g**2 - 9*g + 49. Suppose -q - 103 = -4*m, 2*m - 13 - 22 = -5*q. Calculate the remainder when o(9) is divided by m.
24
What is the remainder when 3248/36 + (-6)/27 is divided by 32?
26
Let n = -150 - -175. Calculate the remainder when 94 is divided by n.
19
Let k = -109 - -112. Suppose a + k*a = -4*y + 8, 2*y = -3*a + 1. Calculate the remainder when 38 is divided by y.
3
Let g(b) be the first derivative of 7*b**3/3 - b**2/2 + 7*b + 30. Calculate the remainder when g(-3) is divided by 15.
13
Let n be 29/58 + 6*(-1)/(-4). Let q(y) = -y**2 - 2*y + 3. Let f be q(-3). Suppose f = 4*u - n - 18. What is the remainder when 19 is divided by u?
4
Let i = -755 - -778. What is the remainder when 344 is divided by i?
22
Suppose 1640 + 96 = 7*x. Calculate the remainder when x is divided by 25.
23
Let c = 15 - 7. Calculate the remainder when (-4)/(-10) - ((-690)/25 - 1) is divided by c.
5
Calculate the remainder when 71 is divided by 15/(-10)*-6*2.
17
Calculate the remainder when (32/48)/(10/2745) is divided by 38.
31
Suppose -16*f + 5*f + 143 = 0. What is the remainder when 47 is divided by f?
8
Let z be (-1)/(-4) - (-251)/4. Let y = 115 - 110. Suppose b - z = -y*i - b, -9 = i - 5*b. What is the remainder when 19 is divided by i?
8
Suppose 1082 = 9*b + 344. Calculate the remainder when 572 is divided by b.
80
Suppose 0 = -5*c + 93 - 23. Let l = c - 0. Let m(z) = -z**3 + 4*z**2 + 3*z - 8. Calculate the remainder when l is divided by m(4).
2
Let w(b) = 9*b**3 - 5*b**2 + 7*b - 9. What is the remainder when w(2) is divided by 12?
9
Suppose -3*i - 560 = -5*u - 5*i, -2*i = 4*u - 446. What is the remainder when 1821 is divided by u?
111
Suppose 0 = 4*k + 4*l + 68, -3*k - l - 66 + 7 = 0. Let v(b) = -b**3 + 11*b**2 + b - 1. What is the remainder when (-6)/k - 124/(-7) is divided by v(11)?
8
Let u(i) = 20*i**2 - 2*i + 8. Calculate the remainder when u(6) is divided by 36.
32
Suppose 8 = -2*l + 64. Let s(m) = -8*m**2 - 187*m - 58. What is the remainder when l is divided by s(-23)?
6
Suppose 155*p = 141*p + 350. Calculate the remainder when 26 is divided by p.
1
Suppose 2*k - 48 = -3*j, -k - 5*j = k - 48. Suppose 486 = 8*m - 234. Calculate the remainder when m is divided by k.
18
What is the remainder when 73 is divided by ((-1)/(-1) - -1)*(-114)/(-12)?
16
Let m(f) = 20*f**2 + 2. Let v = 578 + -557. What is the remainder when m(2) is divided by v?
19
Suppose -8 = -5*r - 23. Let u = r - -37. What is the remainder when 64 is divided by u?
30
Let t(n) = n**2 - 5*n - 2. Let b be t(7). Suppose b = v - 46. Calculate the remainder when v is divided by 12.
10
Suppose -g + 2*p = 5*p - 15, -2*g = 4*p - 24. Suppose 18*q - g*q = 144. Calculate the remainder when 29 is divided by q.
5
Let a(j) = 19*j + 17. Let z be a(25). What is the remainder when 51 is divided by z/27 + (-6)/27?
15
Let u = 8 - 5. Suppose a - 1 = -d, -2*d + u*d + 2 = 2*a. Ca