pose b + b = z. Calculate the remainder when i is divided by b.
8
Let n be (6/4)/(12/328). Suppose -l - n = -2*l. What is the remainder when l is divided by (2 - 8)*(-14)/6?
13
Let d(p) = 6*p**2 - 3*p - 1. Let g(q) = -q - 16. Let o be g(-13). Let b be d(o). Let u = -15 + b. Calculate the remainder when u is divided by 24.
23
Let m = -871 - -879. Calculate the remainder when (-68)/(-3) - (-1)/3 is divided by m.
7
Suppose o = -3*w + 5*w + 14, 3*w - 51 = -3*o. Let p be (3 + 66/(-9))*3. Let y(g) = -g**3 - 12*g**2 + 10*g - 10. What is the remainder when y(p) is divided by o?
13
Suppose -2*d + o = d - 273, -4*d + 351 = 3*o. What is the remainder when d is divided by 54?
36
Let l(m) = 2*m**2 - m - 33. Calculate the remainder when 83 is divided by l(-5).
17
Let a(v) = v**3 + 10*v**2 + 4*v - 38. What is the remainder when 19 is divided by a(-9)?
5
Let b = 210 + -199. Calculate the remainder when 60 is divided by b.
5
Let i(u) = -u - 2. Let z = 33 - 55. Let s = -11 - z. Calculate the remainder when s is divided by i(-6).
3
Suppose -14 = -o + 289. Calculate the remainder when o is divided by 16.
15
Suppose 0*o = 2*o - 3*s - 6, -3*s - 6 = 2*o. Let f be (-2 - (-133)/28) + (-3)/(-12). Calculate the remainder when f/(o + -1) - -63 is divided by 13.
8
Suppose -8*q = 211 + 101. Calculate the remainder when -2*(q/(-18) - 2)*-39 is divided by 3.
1
Let v(n) be the first derivative of n**3/3 - 13*n**2/2 + 45*n - 53. What is the remainder when 117 is divided by v(10)?
12
Suppose -193 = -6*t + 11. Let r(v) = -v + 4. Calculate the remainder when t is divided by r(-9).
8
Suppose g - 4*r - 73 + 12 = 0, 4*g - 3*r - 270 = 0. What is the remainder when 341 is divided by g?
65
Suppose -2*d + 1 = 3*n, -4*d + n + 9 = -0*n. Suppose d*j + 0*j = 80. Calculate the remainder when 77 is divided by j.
37
Let h be -10 + 17 - (8/(-2))/(-1). Suppose 4*q - 3*c - 73 = 0, -c - h*c = -5*q + 92. Calculate the remainder when 159 is divided by q.
15
Let c = 121 + -61. Let m = c - -20. What is the remainder when m is divided by 14?
10
Let u(b) = 11*b + 192. What is the remainder when 516 is divided by u(-8)?
100
Let i(c) = c**3 + 2*c**2 - 5*c + 4. Let b(d) = 2*d**3 + 5*d**2 - 11*d + 7. Let q(k) = 3*b(k) - 5*i(k). Calculate the remainder when q(-3) is divided by 9.
7
Let v be ((-4)/(-6))/((-7)/(-84)). Suppose 4*x + 5*o - 29 = 0, v*x - 28 = 6*x + 2*o. Calculate the remainder when 74 is divided by x.
8
Let h(o) = 8*o**2 + 506*o + 187. Suppose -4*g - 5*r = -49, g = -g + 4*r + 44. What is the remainder when h(-63) is divided by g?
13
Let d = 15 - 12. Suppose -4*s - d = -19. Let l(i) = 2*i - 1. Calculate the remainder when l(s) is divided by 4.
3
Let x(y) = 2*y + 35. Suppose 5*h + 0*i = 3*i - 66, -3*i = -4*h - 51. Let u be x(h). Suppose -u*c = -0*c - 25. What is the remainder when 19 is divided by c?
4
Let q = -9 + 12. Let h = 0 + q. Suppose -3*w + 0*w - 6 = 0, -h*s + w = -35. Calculate the remainder when 30 is divided by s.
8
Let a = 48 - 16. Let n(u) = -u**2 + 28*u - 35. Let p(k) = -k**3 + 7*k**2 - 6*k + 20. Let g be p(6). Calculate the remainder when n(g) is divided by a.
29
Let x(a) = -a**2 + a + 7. Suppose -2*b + 3*c = -23 - 34, 3*b = -2*c + 53. Let s = -10 + b. What is the remainder when s is divided by x(0)?
4
Suppose 0*b = -5*b + 150. Let a be 20/35 + 31/7. Suppose k = a*y - 2*k - 28, 3*y - 5*k = 4. What is the remainder when b is divided by y?
6
Let m(u) = 128*u**3 - 2*u**2 + u. Let y be m(1). Suppose 2 = -5*c + y. Calculate the remainder when 48 is divided by c.
23
Suppose 648*d = 649*d - 33. Suppose 4*b = 2*j, 0*j = -4*b - 5*j. What is the remainder when d is divided by 1*12 + (0 - b)?
9
Suppose -2*u - 2*b = 10, -3*u - 5*b = -5*u + 25. Suppose u = i - 5*p + 29, 4 - 25 = i - 3*p. What is the remainder when 28 is divided by (-6)/i - 56/(-6)?
8
Let y = -30 - -13. Let p = -4 - y. Calculate the remainder when 46 - ((-13)/26)/((-1)/(-8)) is divided by p.
11
Let k = -87 - -180. Suppose -4*t + 3 + k = 0. What is the remainder when t is divided by 14?
10
Calculate the remainder when (-18)/12*39*-6 is divided by 88.
87
Suppose -10*v = -47*v + 555. Calculate the remainder when 41 is divided by v.
11
Let v = -302 + 527. Suppose -3*q - 3*a + 129 = 0, v = q + 4*q - 5*a. What is the remainder when q is divided by 5?
4
Let h be 1/2 - (-2148)/(-24). Let v = h - -139. What is the remainder when v is divided by 13?
11
Let w = -5 + 40. Let y(u) = -3*u**2 + 23*u - 17. What is the remainder when w is divided by y(6)?
9
Suppose i + 5 = g, 2 = 3*i + 5. Suppose 3*c = 4*s - 56, 5*s - 2*c - 30 - 33 = 0. What is the remainder when s is divided by g?
3
Suppose 10*r - 5*r = 5*y - 75, 26 = 2*y - 3*r. Let f = -40 + 46. Calculate the remainder when 51/(f*2/8) is divided by y.
15
Suppose 3*h + 2*d - 832 = -2*h, -3*d = -3*h + 516. What is the remainder when h is divided by 9?
6
Suppose 0 = 10*l + 8*l - 378. Calculate the remainder when 182 is divided by l.
14
Suppose 17 = k - 4*k + 4*n, -3*k + 5*n = 22. Let m(r) = 14*r**3 + r**2 - r - 1. Calculate the remainder when 37 is divided by m(k).
11
Let f(u) = u**2 - 19*u + 20. Let q be f(18). Suppose 2*r - 4 = 0, 4*g - q*r - 386 = -g. Calculate the remainder when g is divided by 16.
14
Let d(m) = m**2 - 8*m - 5. Let p be d(9). Suppose 5*k + 84 = 2*q, p*q - k + 4*k - 142 = 0. What is the remainder when q is divided by 13?
11
Let w(o) = o**2 - 20. Let m be w(-5). Suppose c - 6*c = -5*g + 95, -m*c + 13 = g. Calculate the remainder when 51 is divided by g.
15
Suppose 3*q - 2*k - 1194 = 0, 1194 = 10*q - 7*q - 4*k. Calculate the remainder when q is divided by 132.
2
Suppose 3*o - 5*a - 2 = 0, 4*o - a = -0*a + 31. Let r = 54 - 57. Calculate the remainder when o is divided by (-14)/r - 10/(-30).
4
Let q = -328 - -63. Let d(t) = t**2 + 9*t - 5. Let u be d(-10). Calculate the remainder when (1*-1)/(u/q) is divided by 18.
17
Let n(g) = 92*g - 1959. Calculate the remainder when n(22) is divided by (2*1)/((-6)/(-51)).
14
Let k = -875 + 1370. Calculate the remainder when k is divided by 25.
20
Suppose -11*j + 76 = -56. Let u = j - 1. What is the remainder when 42 is divided by u?
9
Suppose 3*l + 43 = 2*v + 8*l, -3*l + 60 = 5*v. Suppose -f - 3*f = 0. Suppose f = z - 6 - v. What is the remainder when 56 is divided by z?
11
Let x = 4 - -8. Calculate the remainder when (-13)/(78/(-12))*23 is divided by x.
10
Suppose -2*d + 3*m + 84 = 0, -4*d - 20 = 5*m - 144. Calculate the remainder when 357 is divided by d.
33
Suppose -12868 + 2228 = -8*n. Calculate the remainder when n is divided by 37.
35
What is the remainder when (16/4 + -1 + -64)*-1 is divided by 16/(4/((-12)/(-3)))?
13
Let f(t) = 48*t**3 + 2*t**2 + t. Let n be f(-1). Let u = n - -67. Calculate the remainder when (115 - -3)*(-1)/(-2) is divided by u.
19
Let u = -1 + -43. Suppose -8 = -5*o + y + 23, y = o - 3. Calculate the remainder when u*(-1)/2 + -2 is divided by o.
6
Let f = 488 - 465. What is the remainder when 572 is divided by f?
20
Let m(q) = q**2 - 4*q - 9. Let k be m(6). Suppose 5*v + 5*g = 340, -4*v = -0*v - k*g - 237. Calculate the remainder when v is divided by 11.
8
Suppose 0 = -11*m + 15*m - 3*p - 86, -4*p = -4*m + 88. Calculate the remainder when 76 is divided by m.
16
Let n(b) = -23*b**3 - b**2 - 2*b - 1. What is the remainder when (402/(-12))/(2/(-4)) is divided by n(-1)?
21
Let r = -1719 - -1729. Calculate the remainder when 285 is divided by r.
5
Let k(c) = -2*c - 3. Let z(u) = 2*u + 4. Let b(j) = 3*k(j) + 4*z(j). Calculate the remainder when b(15) is divided by 14.
9
Suppose -v = 163 - 14. Let i = -34 - v. What is the remainder when i is divided by 17?
13
Let j = 691 - 569. Calculate the remainder when j is divided by 32.
26
Let t be (-4 + 0)*(-1 - -2). Let a be (4 - -6)*t/(-10). Suppose i - 2 = f, 4*i - 3*f - 14 = -a. Calculate the remainder when 15 is divided by i.
3
Let x = -448 + 936. Suppose 0 = -4*j + 2*j + x. Calculate the remainder when (j/10)/(2/5) is divided by 16.
13
Let t be 6/4 - (58/(-4) + -1). Let d(w) = w**2 - 14*w - 33. Calculate the remainder when 102 is divided by d(t).
12
Suppose 3*k = 7*k - 136. Suppose t - 3*s = 12, -4*t = -t + 4*s - 62. What is the remainder when k is divided by t?
16
Let l(t) = t**3 - 2*t**2 + 5*t - 2. Let s be l(3). Let v = 33 - s. Calculate the remainder when (-346)/(-18) -