ainder when 46 is divided by r/(-18) - 52/(-3).
12
Let y be (-3 - 1)*30/(-12). Suppose y = 6*u - u. Suppose u*a - 114 = -2*v - 3*v, -2*a + 102 = 2*v. Calculate the remainder when a is divided by 12.
11
Calculate the remainder when (62/6)/((-3 + 9)/18) is divided by 6.
1
Let p(s) = 10*s**2 + 2*s. Let h(z) = -z**3 - 14*z**2 - 7*z - 27. Calculate the remainder when h(-14) is divided by p(-2).
35
Let a be 2/3 - (-34)/(-6). What is the remainder when 21 is divided by (-4)/a + 72/10?
5
Let r(d) = d**3 + 5*d**2 + 3*d. Let j(g) = g**3 + 2*g**2 - 2*g. Let h be j(-3). What is the remainder when r(h) is divided by 5?
4
Suppose 12*g + 460 = 22*g. What is the remainder when 174 is divided by g?
36
Let s(f) = -f**3 + 6*f**2 + 7*f - 4. Suppose 3*x + 18 = 6*x. What is the remainder when 149 is divided by s(x)?
35
Suppose -24*o - 22*o + 276 = 0. Suppose -2*k + 5*b - 73 = -6*k, 2*b + 116 = 5*k. What is the remainder when k is divided by o?
4
Suppose -2*n - 119 = -3*n - 2*s, 0 = 3*s + 9. Calculate the remainder when n is divided by 6.
5
Suppose -1 = 5*g - 16, -5*g = 2*u - 53. Suppose 0 = m - 143 + u. What is the remainder when m is divided by 32?
28
What is the remainder when 153 is divided by 110/10 - (4 + -24)?
29
Let z = 11 + 47. Calculate the remainder when z is divided by (-6)/10 + (-324)/(-15).
16
Suppose 7*p = 6*p + 3. Suppose -p*y - 60 = y. What is the remainder when ((-132)/y)/((-10)/(-25)) is divided by 5?
2
Let w = 22 - 19. Suppose 4*t + 24 = 2*g, 4*g - 3 - 1 = -w*t. Suppose g = 4*x - 104. What is the remainder when x is divided by 15?
12
Suppose 2*d + 5031 = 3*y, 3*y - 5025 = 8*d - 4*d. What is the remainder when y is divided by 60?
59
Suppose b = 3*b - 344. What is the remainder when b is divided by 16?
12
Suppose -54 = -i - 7. Let s be 2 + (-4 - 28/(-4)). Suppose 5*q = a + 59, 81 - 19 = s*q + 2*a. Calculate the remainder when i is divided by q.
11
What is the remainder when 13072/76 - -1*5 is divided by 5?
2
Calculate the remainder when 641 is divided by (184/14)/(38/133).
43
Let y be 284/18 + (-2)/(-9). Let n(m) = -m + 25. What is the remainder when (-15)/(-10)*y/2 is divided by n(18)?
5
Let x be -3 + (1 - -2) + 601. Suppose 0 = 3*u - 12, 0*j - x = -5*j + u. What is the remainder when j is divided by 31?
28
Suppose -18*h + 16*h = p - 64, 3*p + 3*h = 207. What is the remainder when 293 is divided by p?
71
Let u = 93 + -93. Suppose -10*g - 4*g + 546 = u. Calculate the remainder when g is divided by 8.
7
Let n = -129 + 216. What is the remainder when n is divided by 11?
10
Suppose -4*r + 60 = 2*w, r - 3*w + 0*w - 22 = 0. Let p = 9 + r. Calculate the remainder when 47 is divided by p.
22
Suppose 0 + 6 = -d. Let a(k) = -7*k + 8. What is the remainder when a(d) is divided by 26?
24
Let v = 4 + 12. Suppose v + 69 = 5*f. What is the remainder when 65 is divided by f?
14
Let h(t) = -2*t - t + 1 + 0*t + t**2. Let d be 4/7*(-4)/((-24)/42). What is the remainder when 8 is divided by h(d)?
3
Let a(u) = 6*u**2 - 2*u + 3. Let q be a(2). Let h(f) = 0*f + q*f**3 + 4*f - 3*f + 0*f**2 - 2*f**2. What is the remainder when 65 is divided by h(1)?
21
Let w(b) = -b**3 - b**2 - 4*b - 5. Suppose 5*a = -3*f - 3, a + 5*f = -a + 14. Let q(z) = -z**2 + z + 14. What is the remainder when w(a) is divided by q(0)?
11
Let s(d) = -109*d + 49. What is the remainder when s(-1) is divided by 61?
36
Let r = -16 - -19. Suppose 0 = -3*h - 3*w, 4*h + 0*w - 27 = 5*w. Suppose -h*x - r*k = 0, -3*x - 4*k - 3 = -0. What is the remainder when x is divided by 2?
1
Calculate the remainder when (-374)/(-8) + 99/(-36) + 3 is divided by ((-9)/(-4))/(9/96).
23
Let n(i) = -i**3 - 6*i**2 - 6*i + 4. Let r be n(-6). Suppose -4*z - z + r = 0. Let x(p) = -8*p + 14. What is the remainder when x(0) is divided by z?
6
Let l be 9/(36/(-8)) + 34. Let k = 53 - l. Calculate the remainder when 123 is divided by k.
18
Let o be (-9 - -25) + -2 + -1. Let x(j) = -j**2 + 12*j + 16. Let z be x(o). Suppose k - z = 6. Calculate the remainder when k is divided by 6.
3
What is the remainder when 3 - ((-1212)/1)/4 is divided by 39?
33
Let l = -445 + 551. Calculate the remainder when l is divided by 9.
7
Let p(a) = 6*a - 2. Suppose b = -m - m + 6, 2*m = -2*b + 8. Let d = 25 + -22. Calculate the remainder when p(m) is divided by d.
1
Let y(i) = -i**3 + i**2 + 4*i + 14. What is the remainder when 95 is divided by y(0)?
11
Suppose -146 = -3*z - 20. Let q(f) = 9*f - 4. Calculate the remainder when (z*1 + 2)*1 is divided by q(3).
21
Suppose -42 = -a - 39. Suppose 0 = 3*u + u + 4, -a*c = 3*u - 225. What is the remainder when c is divided by 39?
37
Let k(h) = h**2 - 10*h - 6. Suppose -4 = -2*r, -4*q + 7 + 5 = -2*r. Suppose 17 = q*f - 27. What is the remainder when k(f) is divided by 3?
2
Let n(a) be the first derivative of -a**4/4 + 2*a**3 + 9*a - 15. Calculate the remainder when 16 is divided by n(6).
7
Let x = -11 + 13. Suppose x*a - 21 = -a. Let u(k) = 2*k**2 - 10*k + 7. Calculate the remainder when u(a) is divided by 18.
17
Let o(c) = c**2 + 11*c - 161. What is the remainder when 86 is divided by o(-21)?
37
Let n = 178 + 10. What is the remainder when n is divided by 27?
26
Suppose 0 = 31*m + 41 - 18951. Calculate the remainder when m is divided by 34.
32
Suppose -2*v = -4*n - 8, -2*n + 0*n = -2*v + 14. Suppose 3*z + 0*t - 4*t = 240, 2*t = -6. What is the remainder when z is divided by v?
6
Let p = 18 + -57. Let w = p + 91. Let s(r) = -r**2 - 12*r - 9. Calculate the remainder when w is divided by s(-10).
8
Let l = 8 + -5. Suppose l*p - 20 = -2*p. Calculate the remainder when 8 is divided by p.
0
Suppose 2*f + 2*a = 106, -5*f - 16*a = -13*a - 269. What is the remainder when f is divided by 21?
13
Let m be 16/(-24) - (-24)/9. Suppose -2*y + 4*o + 84 = 0, 0*y - m*o = -3*y + 118. What is the remainder when y is divided by 10?
8
Suppose 0 = -2*u - 3*v + 68, -70 = -4*u + v + 38. Let p = 60 - u. Let x = -2356 - -2368. Calculate the remainder when p is divided by x.
8
Let q = -70 - -443. What is the remainder when q is divided by 25?
23
Calculate the remainder when (1 - -5) + 376/4 is divided by 15.
10
Let q(v) = 7*v + 83. What is the remainder when 326 is divided by q(0)?
77
Let q = 258 + -153. What is the remainder when q is divided by 30?
15
Suppose -17*x = -16*x + 24. Calculate the remainder when (-2)/3*(-36)/(-8) - x is divided by 8.
5
Let n be 0 + 15*12/30. Let b = 48 + -29. Let u = b + n. Calculate the remainder when u is divided by 9.
7
Calculate the remainder when -956*(-3)/42 - (-8)/(-28) is divided by 35.
33
Let x(w) = 2*w**2 + 4*w + 2. Let z(b) = 2*b**3 - 3*b**2 - 4*b + 2. Let m be z(3). Suppose m + 13 = -5*k. Calculate the remainder when x(k) is divided by 26.
24
Suppose 3*q + 2*g = -64 + 317, 2 = g. Let o be (-1)/((-4)/(-6))*-2. Suppose 31 + q = o*f. Calculate the remainder when f is divided by 13.
12
Suppose 5*q - 135 = -460. Let u = 95 + q. What is the remainder when u is divided by 11?
8
Let b = -9 - -43. Calculate the remainder when 339 is divided by b.
33
Let g(y) = -2*y**3 - 5*y**2 - y + 6. Let b be g(-4). Let h = 75 - b. What is the remainder when 116 is divided by h?
14
Suppose -10*p + 12*p + 116 = 0. Calculate the remainder when 112 is divided by p/3*3/(-2).
25
Let b = 6 + 2. Suppose 4*c + b = 68. What is the remainder when c is divided by 6?
3
Suppose 0 = 2*c + 2*c. Suppose 2*m + 2*m - 12 = c. Calculate the remainder when m is divided by 3/((-7)/14*-2).
0
Suppose -3*g + 224 = 11*g. Calculate the remainder when 27 is divided by g.
11
Suppose 5*c = c. Suppose -p + 49 = 5*o, c*o + 2*p - 38 = -4*o. What is the remainder when o is divided by 4?
2
Suppose -339 = -3*t + 3*f, 0 = 2*f - 3 - 5. Suppose 3*d - t = r, 3*d - r - 114 = r. Suppose 0*v - d = -2*v. What is the remainder when 79 is divided by v?
19
Suppose 4*s + 12 = 2*b, -5*b + 0*s = 2*s - 6. What is the remainder when 37 is divided by (3 - 2) + -4*(1 - b)?
2
Suppose -2063 = -3*f - 4*l, 8 = 2*l - 4*l. Calculate the remainder when f is divided by 116.
113
What is the remainder when (25/1)/((-15)/(-3) - 4) is divided by 19?
6
What is the remainder when 206 is divided by (11 - 35)*-1 + -5?
16
Let u(q) = q**3 - 2*q**2 + 3*q - 1. Let y be u(2). Let w(t) = -17*t + 8*t + t**3 - 2*t + 3 - 3*t**2 + 3*t. Calculate the remainder when 49 is divided by w(y).
10
Suppose -2