16
Let f be (-9)/(-2) + (-1)/2. Let l be 15 - (20/(-6) + (-32)/48). Let a = l - f. Calculate the remainder when 43 is divided by a.
13
Let y = -20 - -10. Let w(b) = -b**3 - 8*b**2 + 14*b - 44. Let m(f) = 2*f**3 - 5*f**2 + 4*f - 4. What is the remainder when m(4) is divided by w(y)?
12
Let s = -11 + 12. Let t = 6 - 4. Suppose -t*l = z - 6, 0 = l - 3*l + 5*z - 6. What is the remainder when l is divided by s?
0
Suppose -43*c + 44*c = 2*h - 113, 284 = 5*h - 4*c. What is the remainder when h is divided by 29?
27
Let o = 372 - 359. Calculate the remainder when o is divided by 7.
6
Let i(o) = 8*o**3 + 2*o**2 + 4*o + 3. Let v be i(3). Suppose 2*l - 2*z - v = -3*l, -111 = -2*l - 3*z. What is the remainder when l is divided by 27?
24
Let t = -66 - -17. Let a = 142 + t. Suppose 18*c - 46 = 386. What is the remainder when a is divided by c?
21
Suppose 5*c = 3*b - 43, b - c + 3 - 18 = 0. Calculate the remainder when 30 is divided by b.
14
Let s = 2 - -11. Let x be (-3)/(-6)*(4 + 0). Suppose -5*g = -0*g - 5*o - 240, -3*g - x*o + 159 = 0. Calculate the remainder when g is divided by s.
12
Suppose 124 = 2*p + 2*m, -2*m + 3*m = -4*p + 242. Suppose -4*z + a = -84, 5*z - 2*a = -255 + 360. Calculate the remainder when p is divided by z.
18
Let d be (18/45)/(2/20). Suppose d*q + 60 = 8*q. Let v = 65 + -23. What is the remainder when v is divided by q?
12
Let w(z) = -z**3 + 13*z**2 + 13*z + 15. Let y be w(14). Let p(u) = 6*u**2 + 1. Calculate the remainder when 23 is divided by p(y).
2
Let k(l) = 4*l**2 + 3*l - 1. What is the remainder when k(-6) is divided by (34/(-85))/(6/(-480))?
29
Let t = 5 + -76. Let o = -41 - t. Suppose 5*y = o + 35. What is the remainder when 37 is divided by y?
11
Let w(l) = -l**3 - 4*l**2 + 7*l - 20. Let m be w(-7). Suppose -2*u + 54 = -5*p, m + 3 = 3*u + p. Calculate the remainder when 52 is divided by u.
25
What is the remainder when (-4 - -2)*38*(-3)/4 is divided by 3?
0
Suppose -u - u + 80 = 5*y, -y + 43 = u. What is the remainder when 627 is divided by u?
42
Let y(w) be the first derivative of 3*w**2/2 - 2*w + 11. Calculate the remainder when 61 is divided by y(6).
13
Suppose -20*q + 30*q = 1190. Calculate the remainder when q is divided by 9.
2
What is the remainder when (-350)/(-100)*(-27414)/(-21) is divided by 127?
124
What is the remainder when 4*(-1)/(-3)*(-8949)/(-19) is divided by 45?
43
Suppose -5*r + r + 22 = 2*f, 22 = 2*f - 2*r. Calculate the remainder when (-123)/(-82)*(-388)/(-6) is divided by f.
9
Let s = -3 + -12. Calculate the remainder when 57 is divided by 6/(3/(s/(-2))).
12
Let c be (-6)/(-8)*(-8)/2. Let r = -3 - c. Suppose r = 4*a + 5*z - 19 + 1, 2*z = 3*a - 25. Calculate the remainder when 12 is divided by a.
5
Suppose 0 = -2*h + 1 + 1. Suppose 4*j = -9*j + 39. What is the remainder when j is divided by h?
0
Suppose -5*d + 756 + 431 = 3*q, -d - 4*q + 234 = 0. What is the remainder when d is divided by 30?
28
Let s(z) = 7*z**2 - 2*z + 1. Let t be s(1). Suppose -t*m = -m - 75. What is the remainder when m is divided by 8?
7
Let b be -104 + -1 + 2 + (15 - 17). Let x = 181 + b. Calculate the remainder when x is divided by 11.
10
Let h = 20 + 91. Suppose 140 = 50*g - 45*g. What is the remainder when h is divided by g?
27
Suppose -2*l + 7*l - 84 = -j, -l - 2*j = -15. Let o = 28 - l. Calculate the remainder when (-3)/18 + 518/12 is divided by o.
10
Let j(y) = 6*y**2 - 1. Let f be j(1). Suppose -f*i = -10*i + 245. Let d = i - -2. What is the remainder when d is divided by 9?
6
Let p be 0*4/(8/2). Suppose -4*f + f + 60 = p. Suppose -2*m + 6*m = 2*x - 150, 0 = -5*m + 5. What is the remainder when x is divided by f?
17
Let s(z) = -z**2 + 4*z - 2. Let b be s(2). Suppose 0*w + 2*y = -w + 37, -b*w + 76 = 2*y. What is the remainder when 77 is divided by w?
38
Suppose 241*m + y = 244*m - 80, 2*m - 64 = -2*y. Calculate the remainder when 642 is divided by m.
26
Suppose -r - 1307 = r - 3*c, -1328 = 2*r + 4*c. Let a be 22/121 - r/11. Suppose -3*o + a = -45. Calculate the remainder when o is divided by 19.
16
Suppose 2*r - 33 = r. Suppose -1 = -8*m + 31. Suppose 32 = 5*o + 2*u - r, 0 = o + m*u - 31. What is the remainder when 21 is divided by o?
10
Suppose -2*q = 33 - 451. Calculate the remainder when q is divided by 56.
41
Let d = 231 + -187. What is the remainder when d is divided by 33?
11
Suppose -69 = -3*y + 9. Let l(g) = g**3 + g - 36. Let j be l(0). What is the remainder when y is divided by (j/(-10))/((-8)/(-20))?
8
Suppose -12*v - 3*v = -2385. Let g = v + -66. What is the remainder when g is divided by 32?
29
Suppose -5*m - 50 = -160. Calculate the remainder when (-1)/(-3)*(0 - (-945)/5) is divided by m.
19
Let r(c) = -c**2 - 6*c - 1. Suppose -6*j = -8*j + 6. Suppose 0*n - j*n + 18 = 0. What is the remainder when n is divided by r(-5)?
2
Suppose -k = -0*k - 3*o - 46, 2*k + 5*o = 136. Let d = k - -19. Suppose -4*p - 67 = -a, a + 0*p - 2*p = d. Calculate the remainder when a is divided by 22.
21
Let s(m) = m**2 + 2*m + 1. What is the remainder when 2/((-24)/(-496)*2/3) is divided by s(-5)?
14
What is the remainder when 212 is divided by (3 - 1)/(12/360)?
32
Let w(j) = j**3 - 9*j**2 - 19*j + 21. What is the remainder when w(11) is divided by 19?
16
Let c(w) = 3*w**2 + 11*w - 92. Let h = 0 + 6. Suppose -5*u = -i - h + 4, 5*u = 3*i - 34. Calculate the remainder when c(-9) is divided by i.
16
Let w = 264 + -243. What is the remainder when 54 is divided by w?
12
Let q = 353 - 230. Calculate the remainder when 242 is divided by q.
119
Calculate the remainder when 10922/18 - (-22)/99 is divided by 87.
85
Suppose -3*w + 213 = 5*s, 14*s - 15*s + 33 = 3*w. Calculate the remainder when s is divided by 24.
21
Let q(p) = 2*p**2 - 9*p + 20. Let t be q(2). What is the remainder when (318/30)/(-1 - (-12)/t) is divided by 18?
17
Suppose -50 = -9*s + 8*s. Let y(m) = -m + 7. Suppose -2*w - 2*x - 3*x = 17, -3*x - 27 = 4*w. Calculate the remainder when s is divided by y(w).
11
Let a = -183 - -251. Suppose 5*l = 213 + 17. Suppose 5*g - 92 = w, l = 5*g - 2*g + 4*w. What is the remainder when a is divided by g?
14
Suppose 3*w + 307 = 8*c - 6*c, 4*c - 4*w = 616. Calculate the remainder when c is divided by 26.
25
Suppose 120 = -32*i + 35*i. Calculate the remainder when 136 is divided by i.
16
Let u(v) = -5*v + 15. Let b be u(3). Suppose b*w + 125 = 5*w. Calculate the remainder when 101 - (1 - 2 - -3) is divided by w.
24
What is the remainder when 28 is divided by 1/4 + 0 - (-19)/4?
3
Let k(p) = p**3 + 7*p**2 + 4*p - 3. Let q(f) = -f - 16. Suppose -40 = -3*b + 7*b. Let z be q(b). Calculate the remainder when 17 is divided by k(z).
8
Let r(f) = -f**2 + 2*f + 6. Let g be r(0). Suppose -10*z = -g*z - 12. Calculate the remainder when 12 is divided by z.
0
Let k be 6/(-1) - (9 + -7). Let b = k + 15. Let m = 22 - b. What is the remainder when 28 is divided by m?
13
Let k = 29 - -114. What is the remainder when k is divided by 38?
29
Let t(a) = 5*a - 2. Suppose -197 = 5*r - 8*r + 4*q, 0 = q - 4. What is the remainder when r is divided by t(4)?
17
Suppose -5*o + 2*o - 4*b = 3, 3*o = 2*b + 15. Suppose -s - 6 = -r + 9, -2*r + o*s = -34. Suppose -2*d + 13 = -25. What is the remainder when d is divided by r?
8
Let p = 368 + -330. What is the remainder when 214 is divided by p?
24
Let u(b) = -b + 9. Let r be u(5). Suppose -112 = -r*g + 120. Suppose 4*x = -5*o + 116, -2*x + 19 = 11. Calculate the remainder when g is divided by o.
18
Let h(b) = -10*b - 35. Let d(r) be the second derivative of 5*r**4/4 - r**3/6 - r**2/2 - 6*r. What is the remainder when h(-9) is divided by d(-1)?
10
Let b = -285 + 413. What is the remainder when b is divided by 13?
11
Let n be (-1)/(-2)*(2 - -312). Suppose -8*x = 325 + 491. Let i = x + n. What is the remainder when i is divided by 19?
17
Suppose -80*x = -91*x + 649. Calculate the remainder when x is divided by 5.
4
Let r(g) = -12*g - 18. Let v(c) = 14*c + 19. Let s(m) = 6*r(m) + 5*v(m). What is the remainder when 17 is divided by s(-12)?
6
Let o(x) = -2*x**3 - 4*x**2 + 2*x + 6. What is the remainder when 303 is divided by o(-3)?
15
Let x(d) = 5*d**3 - 2*d**2 - d + 3. Let l be x(-2). Let r = -87 - l. Let h = 130 + r. Calculate the remainder when h is divided by 22.
20
Let u be 5/2 - 4/8. Let r be -3*((-8)/u)/(-12). What is the re