e the remainder when (2108/(-136))/((42/112)/((-18)/4)) is divided by ((-38)/(-4))/(3/12).
34
Suppose -2*p = -9 - 15. Suppose 19086 - 19374 = -12*d. What is the remainder when d is divided by p?
0
Let s be ((-7)/14)/(5/4370). Let p = s + 529. Calculate the remainder when p is divided by 49.
43
Suppose -21*s + 20592 = 123*s. Calculate the remainder when 2714 is divided by s.
140
Suppose -47856*z + 8736 = -47843*z. Calculate the remainder when z is divided by 332.
8
Suppose 17*x + 518 - 10701 = 0. What is the remainder when x is divided by 11?
5
Suppose -9*p + 6093 = -0*p. Suppose -2*r = -p + 201. Suppose r = 42*k - 40*k. Calculate the remainder when k is divided by 20.
19
Let f(p) = 29*p**3 - 6*p**2 + 4*p + 8. Let i be f(4). Let t = 1802 - i. Suppose -a = -51 + 21. Calculate the remainder when a is divided by t.
12
Let p(s) = s**2 + 5*s + 11. Let i be p(8). Suppose 6*h - h - i = 0. Calculate the remainder when h is divided by (-8 + 10 - 11)/(2/(-2)).
5
Let t be 78/(-52)*((2 - 1) + -119). Suppose -2*l - 2823 - t = -5*k, 2*k - 1221 = 5*l. What is the remainder when k is divided by 100?
98
Suppose 5*k - 5*d + 36 - 451 = 0, 2*k + 3*d - 136 = 0. Suppose 2*n = -0*n + 298. What is the remainder when n is divided by k?
72
Suppose -g + 8 = -22. Let j = -140 + 243. Suppose 6 - 18 = -4*p, -s = -4*p - j. Calculate the remainder when s is divided by g.
25
Let c = 13464 + -13449. Calculate the remainder when 6057 is divided by c.
12
Suppose 206*s = -211*s - 310621 + 2660833. Calculate the remainder when s is divided by 1124.
16
Let r(i) = -165*i - 44. Let m = -194 + 100. Let k = -62 - m. What is the remainder when r(-2) is divided by k?
30
Let c = 6398 + -6377. What is the remainder when 102 is divided by c?
18
Let f(o) = 9*o + 50. Let r be f(-5). Suppose -p - 28 = -r*p. Suppose -p*i + 1 + 83 = 0. What is the remainder when 34 is divided by i?
10
Suppose -52087*f + 52090*f - 48 = 0. Calculate the remainder when 169 is divided by f.
9
Let x = -13 + -10. Let l = x + 25. Suppose 0 = -s + 2*d + 24, 3*s - d = l*s + 19. Calculate the remainder when 166 is divided by s.
12
Suppose 0 = -3*s - 2*v + 10, s + 15 = -s + 3*v. Suppose 6*r - 228 + 30 = s. Let w = 44 - 22. What is the remainder when r is divided by w?
11
Let d be (-3 - (4 + -5)) + 45. Suppose 4*q = -q - 5*t + 115, 2*q - d = -t. What is the remainder when (-1024)/(-18) - (222/(-54) - -4) is divided by q?
17
Calculate the remainder when 55/(-44) + -1 + 6 + 334935/60 is divided by 4.
2
Let v(b) be the first derivative of b**3/3 + 10*b**2 - 29*b - 9. Let f be -22*((-4)/(-24))/(3/18). What is the remainder when 117 is divided by v(f)?
12
Let n(z) be the third derivative of -z**6/120 + 2*z**5/15 + 11*z**4/24 - 4*z**3/3 - 74*z**2. What is the remainder when 27 is divided by n(9)?
7
Calculate the remainder when 20 is divided by (-3 + 99/12)*(-456)/(-342).
6
Let i = -569 + 595. Suppose i*w - 183 = 23*w. Suppose -h + 5*h = 3*b + 48, 0 = 3*h - 3*b - 39. Calculate the remainder when w is divided by h.
7
What is the remainder when (-145)/(-58)*348/10 is divided by 11?
10
Suppose -2 = -2*z + 2*s, 3*z - 3*s = s - 1. Let b = 66 - z. Let c = -56 + b. What is the remainder when 24 is divided by c?
4
Let n = -8 - -1151. Calculate the remainder when n is divided by 115.
108
Suppose 57*r = 103*r - 10488. Calculate the remainder when r is divided by 174.
54
Let c(h) = 44*h - 123. Calculate the remainder when 192 is divided by c(4).
33
Suppose -c = -2*d - 423, 2*d - d = -4. Calculate the remainder when c is divided by 105.
100
Suppose -5*z + 0*i + 5*i = -50, 4*z - i = 49. Let v be 15*((-3)/1 - -2). Let p = 8 - v. What is the remainder when p is divided by z?
10
Let u(f) = f**2 - f + 12. Let t be u(0). Suppose 52 + t = d - 3*n, 4*d - 242 = 5*n. What is the remainder when d is divided by ((-15)/(-2))/((-9)/(-12))?
8
Let k(g) = -9*g + 338. What is the remainder when 1499 is divided by k(32)?
49
Let z = 3127 - 2744. What is the remainder when z is divided by 48?
47
Suppose 0 = 1750*j - 1796*j + 90574. What is the remainder when j is divided by 124?
109
Let p = 315 + -85. Calculate the remainder when 244 is divided by p.
14
Let y = -3794 + 3841. Suppose 2*k + s = 2*s + 274, -558 = -4*k - 3*s. Calculate the remainder when k is divided by y.
44
Suppose 3*c + 3*t - 3 = 4*t, 2*c - 2*t - 6 = 0. Suppose p + 7 - 79 = c. What is the remainder when p is divided by 3?
0
Suppose -2*a + 29 = 2*b - 3*a, 5*a = 4*b - 61. Suppose -11*r = -b*r + 150. Let p = -6 + 19. Calculate the remainder when r is divided by p.
11
Let r(z) = 186*z + 157. What is the remainder when r(4) is divided by 181?
177
Suppose l - 13 = -3*r + 4, 7 = 3*l - 2*r. Suppose 0 = -m + l*m - 24. Calculate the remainder when 27 is divided by m.
3
Suppose 0 = -2*b - 4*x + 470, -4*x = -3*b + 500 + 135. Calculate the remainder when 660 is divided by b.
218
Suppose 63*z = -3*o + 68*z + 393, 3*z = -5*o + 655. What is the remainder when o is divided by 109?
22
Suppose 315 + 875 = 7*n. Let k(q) = 6*q + 11. What is the remainder when n is divided by k(4)?
30
Let l(v) = -17*v + 370. Let n be l(21). Suppose 0 = -4*p - n*p + 323. Calculate the remainder when 93 is divided by p.
17
Let f(c) be the second derivative of -c**5/20 - 2*c**4/3 - 13*c**3/6 + 11*c**2/2 + 161*c. What is the remainder when f(-6) is divided by 9?
8
Let i(m) = -177*m - 82. Calculate the remainder when i(-1) is divided by 58.
37
Let y(h) = 8*h + 2. Let p(x) = -x**3 + 31*x**2 - 203*x - 21. Calculate the remainder when p(10) is divided by y(2).
13
Suppose -4*n - 86 = -2*v - 3*v, -v + 5*n = -34. Suppose -5*b + 5*r + 24 = 2*r, b = -4*r + v. What is the remainder when 1*5/2*14 is divided by b?
5
Let p(f) = -f**3 - 27*f**2 - 20*f - 110. Calculate the remainder when p(-27) is divided by 29.
24
Let i(w) = 2*w**2 + 40*w - 86. Let q be i(-25). Suppose 14*u - 60 = q. What is the remainder when 109 is divided by u?
13
Let c(w) = 3*w + 48. Let u(k) = k. Let s(d) = c(d) - 2*u(d). Let r be s(0). Suppose 0 = -4*p, -4*i + r = p - 5*p. What is the remainder when 20 is divided by i?
8
Suppose -46 + 1080 = 47*i. What is the remainder when 92 is divided by i?
4
Suppose 63500 - 178286 = -32*v - 94*v. What is the remainder when v is divided by 102?
95
Let j(y) = 2128*y + 12795. Calculate the remainder when 68 is divided by j(-6).
14
Let f(x) = -23*x**3 - 6*x - 5. Let n be (40/5 - -1) + -4. Suppose n*a = -6*a - 11. Calculate the remainder when 82 is divided by f(a).
10
Let x = 55 + -27. Let b(m) = -32*m - 5019. What is the remainder when b(-160) is divided by x?
17
Suppose -7*a + 354 = -619. Suppose -3*l = -2*q + 3*q + a, 3*q = -4*l - 192. Let y = l - -127. What is the remainder when y is divided by 21?
19
Suppose 21*o - 600 - 849 = 0. Let r be (-11)/(-3) - (-8)/(-12). Suppose o = r*d - 156. What is the remainder when d is divided by 13?
10
Let j = 698 + -293. Calculate the remainder when j is divided by 103.
96
Let a be 1586/39 - 2/3. Suppose -5*q = -6*q + 39. Suppose -a - q = -d. Calculate the remainder when d is divided by 27.
25
Suppose -v - 1 = 0, 0 = -5*u - 2*v - 430 - 472. Let b = u - -217. What is the remainder when (-2)/(-10) - (-1632)/15 is divided by b?
35
Let o = -24 + 40. Suppose -1764 = -7*c - 203. What is the remainder when c is divided by o?
15
Suppose 840 = 3*r - 2*l, 14*l = 15*l - 6. What is the remainder when r is divided by 17?
12
Suppose -m + 5*t = -28, 8*m - 136 = 3*m + 29*t. Calculate the remainder when 254 is divided by m.
23
What is the remainder when 260 is divided by (-47)/(141/30) - -29?
13
Let s be 4/12 - 178/6*-1. Let d = -124 - -134. What is the remainder when d is divided by ((-2)/3)/(26/s + -1)?
0
Suppose -18 = 3*a - 5*f - 195, -2*a + 3*f + 118 = 0. Let o = -37 + a. Calculate the remainder when 87 is divided by o.
21
Let l = 2616 - -21882. Calculate the remainder when l is divided by 49.
47
Let h(o) = o**2 + 23*o + 41. Let u = 1748 + -1730. What is the remainder when h(-23) is divided by u?
5
Let x = 75657 + -75581. Suppose -5*i - 25 = 0, v = 3*i + 14 + 29. What is the remainder when x is divided by v?
20
Calculate the remainder when (5/2)/((-50)/(-20780)) is divided by 52.
51
Suppose 452 = 2*s - 2*u, -5*s = 3*u - 1381 + 267. Let j = -578 - -590. Calculate the remainder when s is divided by j.
8
Let u = 166 - 235