- 22. Calculate the remainder when t(20) is divided by 24.
22
Suppose -3*r - 120 = -5*r. Suppose 54*d + 3344 = 73*d. Calculate the remainder when d is divided by r.
56
Suppose 3*p = -2*p - 30. Let q(h) = 6*h + 225. Calculate the remainder when q(-26) is divided by (-188)/(-8) - p/4.
19
Let q(n) = -n**2 + 2*n + 7. Suppose -56 = 6*w - 13*w. Let d be q(w). Let a = d - -58. Calculate the remainder when 46 is divided by a.
12
Suppose -8*v + 1154 = 2*v - 666. Calculate the remainder when v is divided by 22.
6
Suppose 68*i - 84*i + 80 = 0. Suppose -114 = -4*k + x, -i*x = -4*x - 2. Calculate the remainder when k is divided by 16.
13
Let t = 28 + -15. What is the remainder when (-1 + 66)*(402/(-30) + -7 - -22) is divided by t?
0
Suppose c + 2*c + 2*r - 248 = 0, -5*c + 413 = 3*r. Calculate the remainder when (-1)/((-8)/12) - (-4473)/14 is divided by c.
75
Suppose p - 5*p = -68. Let d = -839 + 842. Suppose 112 = 2*x - d*r, -15*x = -20*x - 2*r + 242. Calculate the remainder when x is divided by p.
16
Let b(a) = -85*a - 29. Let h be b(-3). Let l = h - -22. Calculate the remainder when l is divided by 21.
17
Suppose 38*f - 223096 = -120*f. What is the remainder when f is divided by 48?
20
Let m = 1 - -11. What is the remainder when (-1773)/(-36) + 3 + (99/(-12))/(-11) is divided by m?
5
Let g(n) = n - 6. Let i = -55 - -73. Let s be g(i). What is the remainder when 60 is divided by 2 + (-111)/(-6) - (-6)/s?
18
Suppose -3*z = v - z + 30, 5*v + 164 = -3*z. Let i = 74 + v. What is the remainder when 172 is divided by i?
12
Suppose 491400 = 363*a - 111*a. What is the remainder when a is divided by 388?
10
Suppose 0 = -u + b + 2506, b + 5347 = 3*u - 2161. Calculate the remainder when 7513 is divided by u.
10
Let q = -1 - -3. Let l be (q - -96)/(2/1). Suppose 0*j + l = d - 2*j, -2*d + 93 = -3*j. What is the remainder when 113 is divided by d?
35
Let n = -86 - -88. Let r(c) = 116*c - 19. Calculate the remainder when r(n) is divided by 27.
24
What is the remainder when (1517/(-4) - 0)*-8 - -6 is divided by 9?
7
Suppose -19 = -2*g + 9*n - 6*n, -36 = -3*g - 3*n. Suppose 2*r + 3*t + 61 = 0, 0*r - 5*t + 155 = -4*r. Calculate the remainder when 2/4 - r/2 is divided by g.
7
Suppose 0 = -4*t + 2*q + 34, -1044*q = -4*t - 1046*q + 14. Calculate the remainder when 40 is divided by t.
4
Suppose 5*q + n + 23 = 6*q, 2*n = -2*q + 30. Suppose -o - q = -145. What is the remainder when o is divided by 8?
6
Let s be 4/((-2)/3 + 5/(-15)). Let r be 1/(s/(-716)) + -2. What is the remainder when 91 is divided by (-1)/(2/(-3) - r/(-279))?
29
Let z be 2894/6 - (-45)/(-135). Calculate the remainder when 1 + (-3)/((-6)/z) is divided by 62.
56
Let j = -114 + -105. Let x = j + 433. Calculate the remainder when x is divided by 17.
10
Let u = -792 + 818. Suppose -31*q + u*q + 330 = 0. Calculate the remainder when q is divided by 26.
14
Suppose b + 262 = 3*b + 2*x, -286 = -2*b + 4*x. Calculate the remainder when 3912 is divided by b.
132
Let v(w) = 27*w - 273. Let h(y) = -41*y + 406. Let l(a) = 5*h(a) + 8*v(a). What is the remainder when l(18) is divided by 6?
2
Let q = 17260 - 16372. What is the remainder when q is divided by 42?
6
Suppose 4*l - 38 = 3*l. Suppose 0*d = 3*d + 4*b - 53, 4*d - 73 = -3*b. Suppose 2*s = s - o + d, s = 3*o + 3. What is the remainder when l is divided by s?
8
Suppose 3*m = 4*m - 152. Calculate the remainder when m is divided by 4*187/44*1.
16
Let x(i) = 14*i - 399. Suppose -12*o + 214 = -170. Calculate the remainder when x(o) is divided by 13.
10
Suppose 4*h + 570 - 174 = 0. Suppose 0*k + 389 = 4*i + 5*k, 2*k = -i + 95. Calculate the remainder when i is divided by (-313)/(-9) - 22/h.
31
Suppose -4*p = -0*j + j - 20, 5*p - 25 = j. Suppose 0*y - 5*t = y - 81, -2*y - 5*t + 142 = j. Let n = 148 - y. Calculate the remainder when n is divided by 32.
23
Suppose -2026 = 18*v - 2116. Calculate the remainder when 109 is divided by v.
4
Let z be 5/(12*1/20)*6. Suppose z*p + 168 = 57*p. Calculate the remainder when (-208)/(-3) + (-4)/(-6) is divided by p.
22
Calculate the remainder when ((-33066)/33)/(1 - 3) is divided by 49.
11
Suppose 5*s = -4*f + 44, -3*s + 12 = -s - 4*f. Suppose 54 = -0*g - 3*g - 3*q, -2*q - s = 0. Let d = 30 + g. What is the remainder when 58 is divided by d?
10
Suppose 44 - 68 = -i. Calculate the remainder when 414 is divided by 68/i - 3 - 1497/(-18).
82
Suppose 125*v - 10352 = 9*v + 51708. Calculate the remainder when v is divided by 153.
76
Suppose -60 + 25 = -u. What is the remainder when 110 is divided by u?
5
Suppose 2*s = -3*f + 38, 46*s - 41*s - f = 78. Calculate the remainder when 75 is divided by s.
11
Suppose 2 = -g - 3*s - 5, 0 = 5*g - s + 19. Suppose 32*b = -2*y - 136, -2*y + 6 = -b + 5*b + 2. What is the remainder when (-526)/(-10) - g/10 is divided by y?
5
Let w(c) = 7*c**2 + 2*c + 1. Let a(f) = -6*f**2 - 2*f - 1. Let x = -7 + 4. Let m(p) = x*w(p) - 4*a(p). What is the remainder when 133 is divided by m(3)?
31
Let m(a) = 19*a - 46. Let n be m(6). Suppose 3*s = 4*r + n, -2*s = -s + 3*r - 14. What is the remainder when 138 is divided by s?
18
Suppose -8*g + 11*g + 15 = 0, 5*l + 2*g = 1040. What is the remainder when 713 is divided by l?
83
Let u be 10/(-110) - (-162)/(-33). Calculate the remainder when 1266/(-10)*u - -4 is divided by 16.
13
Let q(r) = -r**2 - 35*r + 324. What is the remainder when q(-12) is divided by 101?
95
Suppose 4*a - 4*j - 808 = -128, -a - 4*j = -160. Let w = a - -102. What is the remainder when w is divided by 8?
6
Let f(r) = -7*r**2 + 14*r - 4. Let s(l) = l**2 - 2*l. Let h(y) = -f(y) - 6*s(y). What is the remainder when h(5) is divided by 6?
1
Let u(g) = 39*g + 310. Calculate the remainder when u(54) is divided by 39.
37
What is the remainder when 1130 is divided by 12984/116 - 22/(-319)?
10
Suppose -4*b - g - 15 = -31, 5*b - 20 = 5*g. Suppose b*q + 5*i = 811, 4*q + 0*q - 805 = -3*i. What is the remainder when q is divided by 51?
46
Suppose 9*n = 5*n + 5*o + 104, n = 3*o + 19. Suppose -14*p + 146 = -232. What is the remainder when n is divided by p?
4
Suppose -2*x - 264 = -5*v - x, 107 = 2*v + x. What is the remainder when 1110 is divided by v?
50
Let l(j) = 5*j**2 - 10*j - 132. Calculate the remainder when l(10) is divided by 62.
20
What is the remainder when 101 is divided by ((-3)/2)/((-36)/408)?
16
Suppose -p + 329 = -m, -1500 = -4*p - 4*m - 176. Suppose -128*n = -122*n - p. What is the remainder when 274 is divided by n?
54
Let c(w) be the first derivative of w**4/4 - 13*w**3/3 - 31*w**2 + 30*w + 179. Calculate the remainder when c(17) is divided by 40.
12
Let z(m) = -m**3 + 16*m**2 - 13*m - 27. Calculate the remainder when (-15)/(-5 - -2) - 2 is divided by z(15).
0
Suppose 5*b - 72 = 3*d, -b + 7 = -3*d - 5. Suppose -2*s - 410 + 422 = 0. What is the remainder when b is divided by s?
3
Suppose 2583*m + 1200 = 2599*m. What is the remainder when m is divided by -4*3/(-6) - -10?
3
Let n(c) = 3*c**3 - 2*c**2 + 4*c - 2. What is the remainder when (-6)/3*((-164)/8 - 6) is divided by n(1)?
2
Let o(t) = -t**3 - 6*t**2 + 6*t - 1. Suppose 3*u - 9*n = -6*n + 15, -5*n = 5*u - 5. Let s = 20 - u. What is the remainder when s is divided by o(-7)?
5
Let n = 206 + -195. Suppose -2030 = -n*c - 512. Calculate the remainder when c is divided by 71.
67
Let t be 0 - (27/(-270) + (-1499)/10). Suppose 21*c - 15*c = t. Suppose -2*y + 44 = 14. What is the remainder when c is divided by y?
10
Calculate the remainder when 257 is divided by 1218/10 - (-23)/115.
13
Suppose -2*q - 2*z = -16, 2*z + 4 = 3*q - 0. Suppose q*t - 77 = j - 1, 3*t - 3*j = 48. What is the remainder when 35 is divided by t?
15
Let n(t) = -5*t + 36. Let q be n(9). Suppose -26 = -3*i + 1. Calculate the remainder when i is divided by 3/(3 + q/6).
1
Let k(b) = 4*b**2 + 5*b - 3. Let j be k(1). Suppose j*o + 34 = 64. What is the remainder when 29 is divided by o?
4
Let u(f) = f - 7. Let z be u(7). Suppose z*v = -26*v + 234. Calculate the remainder when 186 is divided by v.
6
Suppose 0 = r + j - 8 - 7, -3*r - 4*j + 49 = 0. What is the remainder when 2451 is divided by r?
9
Let p(b) = -b**3 - 15*b**2 - 24*b + 96. What is the remainder when 1060 is divided by p(-13)?
10
Let b(i) = -11269*i + 2511. What is the remainder when b(-2) is divided by 167?
166
Let t be 8 + (-1)/((-2)/(-