uppose y*x + 47 = b + 189, 6 = 2*b. Suppose 0 = 2*v + 20 - 36. Calculate the remainder when x is divided by v.
5
Let c = -105 + 208. Let t = 168 - 133. What is the remainder when c is divided by t?
33
Suppose 2*t - 133 + 15 = 0. Calculate the remainder when t is divided by 33.
26
Let a(g) = 54*g + 204. Calculate the remainder when 375 is divided by a(-3).
39
Let t = 30 + -46. Let r = 27 + t. Calculate the remainder when r is divided by 7.
4
Suppose u + 0*u - 166 = m, 0 = -2*u + 4*m + 336. What is the remainder when u is divided by 44?
32
Suppose -12*f = -2*u - 13*f + 15, -3*u = f - 22. Calculate the remainder when 7/14 + (-162)/(-4) is divided by u.
6
Let y be 9/(-45)*5*0. Let m = 13 - -14. Suppose a + y*a = m. Calculate the remainder when a is divided by 6.
3
Suppose -70*h = -65*h - 3390. What is the remainder when h is divided by 17?
15
Let w = 349 + -326. What is the remainder when 114 is divided by w?
22
Let r(f) = -9*f**3 + 2*f**2 + f. Let n be r(-1). Suppose 4*w = n*w - 36. What is the remainder when 18 is divided by w?
0
Suppose 3*k + 175 = 10*k. Calculate the remainder when 121 is divided by k.
21
Let y(m) = -4*m + 4*m - m - 7*m. Let w be y(-3). Suppose -2*n + 4*h - w = -6*n, 0 = -4*n + 2*h + 36. Calculate the remainder when n is divided by 3.
2
Suppose -2*j + 62 = 3*h - 17, -3*j = 3*h - 111. Suppose -30*s + 491 = -19. What is the remainder when j is divided by s?
15
Let h be ((-1)/3)/((-14)/1050). Suppose 127*d + h = 132*d. Let w(t) = 4*t - 9. Calculate the remainder when w(6) is divided by d.
0
Let i(t) = -15*t - 11. Let y = 21 + -27. What is the remainder when i(y) is divided by 20?
19
Suppose l - a = 166, 3*a - 5*a = 5*l - 865. What is the remainder when l is divided by 59?
53
Let n = -4 - -16. Suppose 4*b - 36 = -5*p, -3*b + p + 8 = -0*b. Suppose -b*l + l - 40 = -2*i, -50 = -2*i - 2*l. What is the remainder when i is divided by n?
11
Let j(x) = 2*x**2 + x + 2. Suppose -2*t = -q + 21, 3*q - 1 = 2*q - 3*t. What is the remainder when q is divided by j(-2)?
5
Suppose 0 = o - 1. Suppose -l = 3*z - 40, -33 = -z - 5*l - o. Let m = z + 1. What is the remainder when 23 is divided by m?
10
Let l be 2/(-3) + (-8)/(-3). Let q = -15642 - -15647. What is the remainder when q is divided by l/(-6) - (-14)/6?
1
Let b(p) = 3*p + 39. Let n(q) = 1. Let a(i) = b(i) - 18*n(i). Let z be a(0). Calculate the remainder when 60 is divided by (0 - -1)/(1/z).
18
Let r(f) = -12*f - 4. Let q(z) = -z**3 + z**2 + 3*z - 1. What is the remainder when r(-4) is divided by q(-3)?
18
Let f(w) = 5 + 3*w - 14 - 2*w. Suppose 15 + 11 = 2*h. What is the remainder when 15 is divided by f(h)?
3
Let p(s) = 4*s**2 + 7*s + 8. Let j be p(-4). What is the remainder when (-33)/j + (-166)/(-8) is divided by 7?
6
Suppose -2*i - 161 = -9*i. What is the remainder when 75 is divided by i?
6
Let g = 0 - -9. Suppose 15*c - 175 = 20*c. Let f = 61 + c. What is the remainder when f is divided by g?
8
Let i(n) = 10*n + 98. Suppose -4*y = -42 - 110. Calculate the remainder when y is divided by i(-9).
6
Let o(y) = -y**3 - 6*y**2 - 2*y + 17. Let s be o(-5). Suppose -427 = -5*b - 4*w, w + 0*w = -s. What is the remainder when b is divided by 22?
21
Let v(b) = -11*b**3 + 2*b**2 + 3. Let g be v(-3). Suppose -6*k + 4*k = -g. What is the remainder when k is divided by 20?
19
Suppose -5*n + 2692 = u, -24*u + 22*u - 545 = -n. Calculate the remainder when n is divided by 13.
6
Suppose -n + 24 + 4 = 0. Suppose t + 2 = 0, t - n = -3*y + y. What is the remainder when 27 is divided by y?
12
Let m(q) be the first derivative of q**4/4 - 13*q**3/3 + 19*q**2/2 - 49*q - 118. Suppose 2*u + 95 = 7*u. What is the remainder when m(12) is divided by u?
16
Suppose -4*o + 0*o = -464. Suppose 0 = 17*n - 21*n + o. What is the remainder when n is divided by ((-2)/(-2))/(1/10)?
9
Let n = -421 - -573. What is the remainder when n is divided by 36?
8
Let o = 2233 - 2214. Suppose -3*d + 464 = -0*d + 4*q, 2*d - 306 = -2*q. What is the remainder when d is divided by o?
15
Let b(v) = -v**2 + 10*v + 2. Let j be b(10). Suppose j*z - 14 = z. What is the remainder when 40 is divided by z?
12
Let d(p) = -p + 59. Let u be d(5). Suppose -o - 23 = -u. Calculate the remainder when o is divided by 11.
9
Suppose -g + 8 = 3. Calculate the remainder when 4 is divided by (g + 2)*(-10)/(-35).
0
Suppose -2*m - 6 = 2*w - 14, 2*m - 17 = -5*w. What is the remainder when 33 is divided by m/(((-3)/21)/(-1))?
5
Suppose -4*o - w = -21, 2 = -2*o + 4*w - 2*w. Suppose -2*b + 16 = -34*t + 37*t, -t = 4*b - 2. What is the remainder when t is divided by o?
2
Let c(w) = 17*w**3 + 3*w - 2. What is the remainder when c(2) is divided by 77?
63
Let o be (-2)/3*3 + -47. Let v be 1/4 + 3 + (-516)/16. Let d = v - o. Calculate the remainder when 57 is divided by d.
17
Let k be (-4)/6 + 112/6. Let r = 3 + k. What is the remainder when r is divided by -3 - (-10 - (-6 + 5))?
3
Let p be ((2 - 3) + 1)/1. Suppose -2*t + 112 = -p*t. Suppose 3*l - t = -l. Calculate the remainder when l is divided by 5.
4
Let a = 177 + -104. Suppose -3*f + 69 = 3*c, -3*c - 2*f + 73 = -3*f. Let h = c - 5. Calculate the remainder when a is divided by h.
16
Let q = 22 + -20. Calculate the remainder when (23 + -2)*(q/(-6) + 4) is divided by 16.
13
Suppose 12 = o + 4. Suppose 3*l - 58 = -k, -3 = -2*k - 1. Let g = l - 6. Calculate the remainder when g is divided by o.
5
Suppose 5*m + 105*b = 102*b + 602, 236 = 2*m + 2*b. What is the remainder when m is divided by (0 - 12)/(6/(-16))?
28
Calculate the remainder when 1551 is divided by ((-2392)/4)/(-13) - (3 - -1).
39
Let p = 53 + -49. Let h = 7 - -5. Calculate the remainder when (1/p)/((-2)/12)*-30 is divided by h.
9
Suppose -g - 140 = -11*g. Let o = -9 + 13. What is the remainder when 314/o + (-7)/g is divided by 20?
18
Let x(z) = 3*z**2 + 13*z - 33. Calculate the remainder when x(4) is divided by 34.
33
Suppose 2*j + 32 - 58 = 4*s, -2*s - 33 = -5*j. Let p(w) = 3*w**2 + w - 7. Let v be p(-6). Suppose j*x - 50 = v. What is the remainder when x is divided by 15?
14
Let d(u) = 6*u + 23. Let i(l) = 8*l + 34. Let k(f) = 7*d(f) - 5*i(f). What is the remainder when k(9) is divided by 4?
1
Let g(q) = -q + 13. Let t be g(12). Calculate the remainder when 4*(1 - 30/(-8)) is divided by t - (-38 + -2)/4.
8
Let a = 2022 + -1762. What is the remainder when a is divided by 139?
121
Let o(v) = -v + 23. Let w(k) = -k + 12. Let b be w(-8). Suppose 2*y - 3*r - b = 0, -2*y - 5*r = y - 30. Calculate the remainder when 23 is divided by o(y).
10
Suppose 743*v - 270 = 737*v. Calculate the remainder when 83 is divided by v.
38
Suppose 0 = 21*m - 16*m - 85. Suppose -m = -i - 0. Calculate the remainder when 84 is divided by i.
16
Let w = 12848 - 12846. What is the remainder when 2 + -2 - 2 - -9 is divided by w?
1
Suppose -4*l = 0, 0 = -5*q - 0*q + l - 80. Let d = 49 + q. Let p = 31461 - 31444. What is the remainder when d is divided by p?
16
Calculate the remainder when 42 is divided by (-210)/(-9) - 4/12.
19
Let z be -2*(-44)/(-8)*1. Let b be (4/(-6))/((-6)/27). Let w = b - z. Calculate the remainder when 26 is divided by w.
12
Suppose 0 = -h - 3, 3*o + 2*h - 153 = 198. Calculate the remainder when o/(-68)*-28*2 is divided by 26.
20
Let k(m) = -m**3 + 2*m**2 + m. Let s be k(-2). Let c = -183 + 182. Let w = c + s. Calculate the remainder when 49 is divided by w.
10
Let p = 2248 - 2194. What is the remainder when 173 is divided by p?
11
Let g(h) = 2*h**2 + h - 9. Let j be (-4)/(-8) + 9*(-1)/2. Calculate the remainder when 37 is divided by g(j).
18
Let l = 199 + -73. Calculate the remainder when l is divided by 43.
40
Let m(f) = -2*f**2 + 40*f + 65. Calculate the remainder when 41 is divided by m(21).
18
Let d = 326 + -271. What is the remainder when d is divided by 29?
26
Let c(x) = -2*x**2 - 32*x - 6. Calculate the remainder when 62 is divided by c(-14).
12
Let p be (-1)/((-1)/(2 + -3)). Let r(i) = -56*i**3 - 2*i**2 - 2*i - 1. What is the remainder when r(p) is divided by 15?
10
Suppose 51*s = -231 + 1098. What is the remainder when 219 is divided by s?
15
Let b be -1*8 + 0/(-9). Let t be b/(-6)*12/4. Suppose -t*a - 40 = -8*a. What is the remainder when 17 is divided by a?
7
Let l = -2238 - -3387. Calculate the remainder when l is divided by 50.
49
Suppose -15*n + 67*n - 