he remainder when p is divided by 49.
46
Suppose 3*l = 4*c + 6*l - 27, l = c + 2. Suppose -4*g + 0*u = -5*u - 216, 0 = -c*g - 2*u + 139. Calculate the remainder when g is divided by 13.
10
Let m(g) = 10*g - 91. What is the remainder when 15 is divided by m(10)?
6
Let a(b) = -b**2 - 19*b - 47. Let p be a(-19). Let o = 0 - p. Calculate the remainder when o is divided by 12.
11
Let i = 15 + 13. Let g be -1*2/4*-14. Suppose -v + g + 3 = 0. What is the remainder when i is divided by v?
8
Let s(a) = -7*a - 6. Let z be ((-3)/(-5))/((-2)/(-10)). Let q(o) = -7*o - 5. Let h(c) = z*s(c) - 4*q(c). What is the remainder when 46 is divided by h(2)?
14
Let u(m) = m**3 + 8*m**2 - 33*m + 21. What is the remainder when u(-10) is divided by 14?
11
Let d be (1 - 3)*(-6)/20*-15. Let s(c) = 3*c**2 + 9*c - 18. What is the remainder when s(d) is divided by 29?
28
Let o be (-6)/(-4) - 5/(-10). Suppose -s + 20 = -o*i, -2*i = -2*s - 6*i + 64. Calculate the remainder when 99 is divided by s.
21
Suppose 4*s + 75 = w, 5*s - 3*s - 354 = -4*w. Calculate the remainder when w is divided by 13.
9
Suppose -x + 27 + 3 = 3*n, -n = -4*x + 3. Suppose -12 + n = -l, 63 = 2*z - 5*l. Calculate the remainder when 114 is divided by z.
36
Suppose 0 = -4*h + 9*h - 215. Let r = -156 + 167. Calculate the remainder when h is divided by r.
10
Suppose 6*x - 7 - 23 = 0. Let b(m) = -m**3 + 9*m**2 - 3*m + 1. Calculate the remainder when b(x) is divided by 18.
14
Let s be (6 - 7)/(1/8*-1). Calculate the remainder when 3 + (-33)/12 + 846/s is divided by 27.
25
Suppose 2*z + 3 - 15 = 0. Let u = 129 - 96. What is the remainder when u is divided by z?
3
Let q be 8/28 + (-388)/(-14). Suppose -3*b = -3*x + 5*x - q, x = -1. Calculate the remainder when 26 is divided by b.
6
Suppose 0 = 4*q + 3*d - 721, 5*q - 4*d - 422 = 487. What is the remainder when q is divided by 8?
5
Let q = -539 + 560. Calculate the remainder when 115 is divided by q.
10
Let h(b) = 8*b**2 + 2*b - 3. Let d be h(-2). Suppose -2*r - 13 + d = 0. What is the remainder when 15 is divided by r?
3
Suppose -464*z + 474*z = 11880. Calculate the remainder when z is divided by 14.
12
Let a(s) = -12*s + 4. Let i be a(3). Let m = -34 - i. Let r(v) = -60*v. What is the remainder when r(m) is divided by 41?
38
Let r = -47 - -420. Calculate the remainder when r is divided by 22.
21
Suppose -3*u + 12 = -9. Let w = 146 + -62. Calculate the remainder when w is divided by 15 + -1 - (-21)/u.
16
Let s(l) = 3*l - 7. Let p = 17 + -7. Let t be s(p). Suppose t*k - 21*k = 20. What is the remainder when k is divided by 5?
0
Suppose 0*m - 2 = -m, -3*j - 108 = 3*m. Let q = -29 - j. What is the remainder when 96 is divided by q?
6
Suppose -2*h + 8 = -2. Let z = 186 + -180. What is the remainder when z is divided by h?
1
Let z(i) be the first derivative of 21*i**2/2 + 21*i - 14. Calculate the remainder when z(4) is divided by 18.
15
Let q be (-187)/7 - 6/21. Let p = q - -85. Calculate the remainder when p is divided by 16.
10
Let c(o) = o**3 - 15*o**2 + 2*o - 6. Let d = -149 - -314. What is the remainder when d is divided by c(15)?
21
Let z = 536 + -493. What is the remainder when z is divided by 14?
1
Let k = -17 + -1. Let y(q) = -q**2 + 16*q - 10. Let x be y(10). Let w = k + x. What is the remainder when 63 is divided by w?
31
Suppose 0 = -5*u - 5*j + 35, -5*j = 19 + 1. Let z = 111 + -59. Calculate the remainder when z is divided by u.
8
Let c(v) = v**3 - 9*v**2 - 9*v - 13. Let h be c(10). Let s be (-7 + 6)/((-1)/4). Let o = s - h. What is the remainder when 11 is divided by o?
4
Suppose 0 = -c - 5*y + 80 + 65, 4*c = 3*y + 626. Calculate the remainder when c is divided by 12.
11
Suppose -2*i = -7*i + 25, -4*v = 5*i + 3. Let z = -1 - v. Suppose 0*a - 11 = -a. Calculate the remainder when a is divided by z.
5
Let s be 165/44 + 1/4. Let f(w) = -w**3 + 7*w**2 - 5*w + 5. Let v(j) = 2*j - 3. What is the remainder when f(s) is divided by v(6)?
6
Let q(u) = -u**3 + 8*u**2 - 6*u - 5. Let z be q(7). Let f = 3 - -7. What is the remainder when (-1)/(-1 + z)*-28 is divided by f?
8
Let l = -4 - -19. Suppose -g - q + 19 = 0, -7*g = -12*g + 2*q + 130. Calculate the remainder when g is divided by l.
9
Let u be -5 - 1/((-2)/(-8)). Let n = 17 + u. Calculate the remainder when 30 is divided by n.
6
Suppose 199 = 2*w + 35. Suppose 896 = 74*p - 42*p. What is the remainder when w is divided by p?
26
Let w(x) = 214*x**3 + x**2 - 12*x + 11. Calculate the remainder when w(1) is divided by 57.
43
Suppose -v = -3*w + 193, -2*v + 9 = -1. Calculate the remainder when 258 is divided by w.
60
Suppose -1749 + 1693 = -2*w. What is the remainder when (-2)/8*2*-218 is divided by w?
25
Let d be 2/(-6) - (-10)/30. Suppose h + 7 - 27 = d. Calculate the remainder when ((-392)/(-6))/(7/(-3) - -3) is divided by h.
18
Suppose -3*b + 4*l = -9 - 15, 0 = -5*b + 2*l + 40. Suppose -2*y - y = 0. Let w(x) = -x**3 - x + 5. Calculate the remainder when b is divided by w(y).
3
Suppose 4*i - 457 = -57. Suppose h + 3*h - i = 0. Let z = 1747 + -1733. What is the remainder when h is divided by z?
11
Suppose -20 = -5*j + 6*j. Let k = j + 25. Suppose -3*l - 7 + 56 = -b, -24 = -2*l + k*b. What is the remainder when l is divided by 10?
7
Let m = 1979 - 1966. What is the remainder when 283 is divided by m?
10
Calculate the remainder when ((-21)/(-4))/(138/1840) is divided by 19.
13
Let r = -110 + 130. Calculate the remainder when 32 is divided by r.
12
Let t(z) = 163*z + 188. What is the remainder when t(-1) is divided by 1 + (-12)/(-2) + 0?
4
Let t(z) = 59*z + 190. What is the remainder when t(0) is divided by 49?
43
Let z be ((-2)/(-8))/((-3)/12). What is the remainder when 228/9 - (-2)/(-6) is divided by (-2 - 8)/z + 3?
12
Suppose 5*f + 90 = 7*f. Suppose 4*q - f = 3*h + 46, 3*h = 5*q - 116. Calculate the remainder when q is divided by 10.
5
Suppose j - r - 102 = 0, -3*j - 164*r + 308 = -166*r. What is the remainder when 725 is divided by j?
101
What is the remainder when 311 is divided by (-4 - 0) + 7 - 46/(-2)?
25
Let w(g) = g**2 + 28*g - 121. What is the remainder when 17 is divided by w(-32)?
3
Suppose -5*s + 5*b + 20 = 0, 3*s + 2 = 4*b + 14. Suppose 0*l + 5*l = -u + 186, u = -s*l + 149. Calculate the remainder when l is divided by 4/(-18) + 238/18.
11
Let b be 10 + (-4 - -2) + 1. Suppose f - 4*f + b = -i, -3*f = 2*i - 9. Let n = 283 + -272. Calculate the remainder when n is divided by f.
2
Suppose 37*l = 31*l + 114. What is the remainder when 33 is divided by l?
14
Suppose 32 = 3*r + 4*x - 50, 4*r - 116 = -4*x. What is the remainder when 131 is divided by r?
29
Suppose 86 = -5*l + k + 16, -4*k - 70 = 5*l. Let a = -11 - l. Suppose -4*j + 178 = 5*s, 64 = 2*s + j - a*j. What is the remainder when s is divided by 12?
10
Calculate the remainder when 6*10/(-12)*-47 is divided by 88.
59
Let y(o) = 7*o - 5. Let j be y(2). Suppose -j*q = -4*q + 445. Let i = -46 - q. Calculate the remainder when i is divided by 15.
13
Calculate the remainder when (1 - 2)*37/(-1) is divided by 108/8 + ((-21)/6)/7.
11
Let f = 307 + -202. Calculate the remainder when f is divided by 30.
15
Suppose 3*r - 720 = 9*r. Let x = r + 130. Calculate the remainder when 19 is divided by x.
9
Suppose 0 = 4*a - a, -2*n + 12 = a. Suppose 24 = n*m + 18. What is the remainder when 5 is divided by m?
0
Let p(g) = -26*g + 18. Let q be p(9). Calculate the remainder when 34 is divided by (q/(-10) - 4/(-10)) + -4.
16
Let g = 329 - 217. Let l = g + -21. What is the remainder when l is divided by 47?
44
Let c = 342 + -328. Calculate the remainder when 277 is divided by c.
11
Suppose 0 = -5*x + 5*j - 5 - 0, -5*j + 23 = x. Suppose 3*w - x = 0, 2*h - 6*h = -w - 347. Calculate the remainder when h is divided by 11.
10
Suppose 9*f - 147 = -21. Suppose 17*t - 19*t = -f. Suppose 3*y = 2*y + 3. Calculate the remainder when t is divided by y.
1
Let m be 6966/90 + (-2)/5. Let p = 363 + -228. Let f = p - m. Calculate the remainder when f is divided by 15.
13
Let i = -56 + -72. What is the remainder when (0 - -1)/((-4)/i) + -1 is divided by 16?
15
Let b(n) = -3*n**3 + 40*n**2 - 44*n - 13. Let z be b(12). Let p = 0 - -2. Suppose -p*d = -z + 7. Calculate the remainder when 52 is divided by d.
10
Let z(i) = -95*i**3 + 8*i**2 - i + 4. Let x(j) = j**3 + j**2 + 1. Let f(k) = -6*x(k)