when z(g) is divided by l.
1
Let r = 21 - 18. Suppose 3*v - 2*v - 3 = f, -r*v - 7 = 5*f. Let t(k) = -38*k - 6. What is the remainder when t(f) is divided by 18?
16
Let t(p) = p**2 + p**3 + 11*p**2 + 0*p**2 + 5*p - 5*p**2 - 11. Calculate the remainder when 62 is divided by t(-5).
6
Let i = -25 + 35. What is the remainder when 53 is divided by i/1 + 36/9?
11
Let y = -1 - -19. Suppose 0 = -9*x + 7*x + 10. Calculate the remainder when 61 - 9/3 - x is divided by y.
17
Let k(a) = 2*a**2 + a + 1. Let p be k(-1). Suppose 2*d = -g - 233, g - p*d = 2*d - 227. What is the remainder when 6/36 + g/(-18) is divided by 4?
1
Let j = -142 + 232. Suppose -3*u + 222 = -j. Calculate the remainder when u is divided by 21.
20
Let g = -31 - -33. Suppose -3*d - f - 82 = -8*d, -g*d + 22 = -4*f. What is the remainder when d is divided by 6?
5
Let x(b) = 9*b - 10. What is the remainder when 112 is divided by x(3)?
10
Suppose -83*g = -89*g + 180. Suppose 0*w = 2*w - 18. Calculate the remainder when g is divided by w.
3
What is the remainder when 40 is divided by (-9)/(-12) + 665/20?
6
Calculate the remainder when (37 - 34)/((-3)/(-5)) + 1722 is divided by 19.
17
Let f = -67 - 7. Let m = f - -100. Calculate the remainder when m is divided by 4.
2
Suppose d - 250 = 2*m, 5*d - 457 = -m + 749. Calculate the remainder when d/4 - (-4)/8 is divided by 8.
5
Let y(f) = 12*f + 109*f**3 - 57*f**3 - 12 - 51*f**3 - 10*f**2. Let g be -2*(-22)/4 + -2. What is the remainder when y(g) is divided by 9?
6
Let a be (1 - 0)/(22/132). Let x(p) = -p + 19. What is the remainder when 35 is divided by x(a)?
9
Suppose 0 = -2*k + 5*p - 7, -2*k - 6*p + 2 = -8*p. Calculate the remainder when 25 is divided by k.
1
Suppose -z = 20*z - 2856. Let u = -29 + 49. Calculate the remainder when z is divided by u.
16
Let o be (-2)/(64/(-28) + 2). Let t = -5 + o. Let q = t + 1. What is the remainder when 11 is divided by q?
2
Suppose 30*g - 32*g + 18 = 0. Calculate the remainder when 142 is divided by g.
7
Let d(j) = -j**2 - 11*j + 33. Let t be d(-10). Let i = t - 20. What is the remainder when i is divided by 5?
3
Let b be 3/(-12) - (-261)/36. Let s(o) = 3*o - 19. What is the remainder when s(b) is divided by 1 + (-1 - 0) + 2?
0
Calculate the remainder when 167 is divided by 3/2*(-234)/(-27).
11
Let d = -91 + 139. Calculate the remainder when d is divided by (-40)/72*-9 - -12.
14
Suppose 0 = -2*m - 130 + 366. Suppose -4*j + m = 3*y, y - 41 = -j + 6*y. Calculate the remainder when j is divided by ((-4)/2)/(76/(-418)).
9
Suppose 5*u - 40 = -2*k - 7, -3*u - 3*k = -27. Calculate the remainder when (-344)/(-6) - (-41)/(-123) is divided by u.
2
Let i(w) = 7*w**2 + 20*w + 1. Suppose 5*k = -20, 3*k = -s - 2*k - 26. Calculate the remainder when i(s) is divided by 34.
31
Let i(b) be the third derivative of -b**4/6 - 13*b**3/6 - 39*b**2 - 2. Let d = 0 + -5. What is the remainder when 27 is divided by i(d)?
6
Suppose 7*i = 80 + 11. What is the remainder when 384 is divided by i?
7
Suppose 4*t - f - 189 = 0, 2*t - 3*f = 5*t - 123. Suppose -4*d + 3*d = -4. Let s(b) = b**3 - 3*b**2 - 4. Calculate the remainder when t is divided by s(d).
10
Calculate the remainder when (12684/96 - -11) + 2/(-16) is divided by 36.
35
Suppose 99*b - 112*b + 6227 = 0. What is the remainder when b is divided by 12?
11
Suppose -19 - 33 = -13*x. Let i = 15 - x. Let q = -5 + 8. What is the remainder when i is divided by q?
2
Suppose -25*t + 576 = -19*t. Suppose -3*s + 3*a + 3 = 0, 2*a + 3*a - 43 = -3*s. Suppose h - s*h = -165. What is the remainder when t is divided by h?
30
Suppose -3*c + c + 10 = 2*i, 4*i - 14 = -2*c. Suppose -2*a = 3*n + 9, 3 = -2*n - 3*a - c. Let h = n - -11. What is the remainder when h is divided by 3?
2
Suppose 0*y = y - 8. Suppose -63*q + 1340 = -46. Calculate the remainder when q is divided by y.
6
Let n = 37 - 23. Suppose -o + 101 = 2*p + 2*p, p - 20 = -2*o. What is the remainder when n is divided by (-2)/p*-41 + 12/(-78)?
2
Let x(d) = 2*d + 1. Let i be (-3 + 1)*(0 - 1). Suppose 4*o - 31 = -5*q, -36*q - 4 = -40*q + 2*o. Calculate the remainder when x(i) is divided by q.
2
Let k be 15/5*34/3. Let r be (6/15)/(1/5). Let f = k - r. Calculate the remainder when 126 is divided by f.
30
Let a = 1592 + -588. What is the remainder when a is divided by 53?
50
Suppose -5*q + 1565 = 170. Calculate the remainder when q is divided by 90.
9
Let g = -202 - 30. Let w = g + 326. What is the remainder when w is divided by 19?
18
Let z be ((-18)/(-15))/((-4)/(-10)). Suppose -m - 284 = -5*i, 0 = -z*i + 6*m - 5*m + 172. Calculate the remainder when i is divided by 29.
27
Suppose -y = 13 + 15. Let f = -21 - y. What is the remainder when 16 is divided by f?
2
Let y(t) = 13*t - 519. Let h = -41 + 80. What is the remainder when h is divided by y(41)?
11
Suppose -42 = -z - 2*y, -6*y + 150 = 5*z - 11*y. What is the remainder when 231 is divided by z?
27
Let q(u) = 2*u**2 + 3*u + 3. Let n be 1 - -3 - 0/(-14). Suppose -48 = -4*a - n*d, -a - 3*d + 42 = -8*d. Calculate the remainder when a is divided by q(-2).
2
Suppose 2*j - 57 = -3*h, 17*h + 93 = 22*h + 4*j. Calculate the remainder when 542 is divided by h.
17
Suppose 6 = 4*r - 3*u - 7, u + 1 = -2*r. Let z be -9 + (1 - r/1). Let w = z - -17. What is the remainder when 31 is divided by w?
7
Let l(i) = 3*i**2 - 22*i + 50. Calculate the remainder when l(8) is divided by 4.
2
Suppose -2*a + 5*a + 3 = 0. Suppose 13*y = -9 + 126. Calculate the remainder when 2/(34/30 + a) is divided by y.
6
Let k(l) = -111*l - 45. What is the remainder when k(-2) is divided by 13?
8
Let h(f) = -3*f**2 - 89*f - 7. Calculate the remainder when 149 is divided by h(-29).
47
Let q(k) = -k**3 + 3*k**2 - 13*k + 30. What is the remainder when 596 is divided by q(2)?
4
Let p = 21 - 22. What is the remainder when 77/2 + (-2)/4 is divided by ((-13)/(-4))/(p/(-4))?
12
Let h be 5 - 1 - -107 - -3. Let p = h - 53. Calculate the remainder when p is divided by 9.
7
Let x = 375 - 325. What is the remainder when x is divided by 8?
2
Let v(f) = f**2 - 7*f + 4. Let t be v(7). Suppose 0 = -t*g + 2*o + 56, 0 = -0*g - 3*g - o + 42. What is the remainder when 4*1 - (g + -46) is divided by 13?
10
Suppose 11*g - 6 = 456. Calculate the remainder when 100 is divided by g.
16
Let j(y) = -3*y**3 - 20*y**2 - 18*y - 15. Calculate the remainder when 62 is divided by j(-6).
20
Suppose 0*v = -4*v + 304. What is the remainder when v is divided by (-1 - 24/(-18))/(1/24)?
4
Let m(b) = b**3 - 19*b**2 - 34*b + 8. Calculate the remainder when m(21) is divided by 54.
14
Let o be (-6)/(-9)*567/6. Let m = o + 10. What is the remainder when m is divided by (0 - -1)/(2/50)?
23
Let p = -121 - -117. Calculate the remainder when (3/p)/((-5)/700) is divided by 28.
21
Let n = -203 + 346. Let w = -104 + n. Calculate the remainder when w is divided by 11.
6
Let m = -16 - -19. Suppose -m*s = -8*s - 20. Let j(z) = -z**3 - 2*z**2 + 3*z + 1. Calculate the remainder when j(s) is divided by 12.
9
Suppose -69 = 4*q + 3*v, -45 = 3*q - 4*v - 12. Let y = -9 - q. Calculate the remainder when (-135)/6*y/(-5) is divided by 7.
6
Let x(a) = 2*a + 13. Let d(k) be the second derivative of 5*k**4/12 - 2*k**3/3 - k**2 - 7*k. What is the remainder when x(3) is divided by d(2)?
9
Let y = -58 + 134. Suppose -4*u + 5*r + 161 = 0, 2*u = r - 3*r + y. Calculate the remainder when u is divided by 10.
9
Let g(j) = -12*j**2 + 2*j + 2. Let r(v) = -3*v**2 + 3*v - 3. Let n be r(1). Let k be g(n). Let z = k + 188. Calculate the remainder when z is divided by 26.
24
Let t = 53 + -58. Let d = 58 + t. Calculate the remainder when d is divided by 18.
17
Let z(s) = s**3 - 2*s**2 + 4*s - 4. Let t be z(3). Let x = -2 + t. Let r(j) = -j**3 - 3*j**2 + 3*j + 4. What is the remainder when x is divided by r(-4)?
7
What is the remainder when 315 is divided by (54 - (6 + (1 - 5))) + 1?
50
Suppose -5*x = 5*n - 0*n - 350, 5*n = 2*x - 105. Let a(r) = -2*r**3 + 25*r**2 - 13*r + 45. What is the remainder when x is divided by a(12)?
32
Calculate the remainder when (-4578)/7*(-1 + (-10)/(-12)) is divided by 11.
10
Suppose 9*b - 4*b = -2*o + 76, b = 4. Suppose 0*t + t + 5 = 0, -4*t = 3*q - o. Calculate the remainder when q is divided by 1 - -2 - (-24)/4.
7
Calculate the remainder when 58 is divided by 2*1 - (96 + -108).
2
Let 