- 7 = 0. Let s(i) = -89*i - 30. Calculate the remainder when s(v) is divided by q.
29
Calculate the remainder when (-2)/(-5) + (-999)/(-15) is divided by 94/14 - 14/(-49).
4
Let r(m) = 1131*m**2 + 6*m + 3. Calculate the remainder when r(-1) is divided by 11.
6
Let u(g) = -4*g**3 + 68*g**2 + 77*g - 37. What is the remainder when 1866 is divided by u(18)?
11
Suppose 11*g + 4*i = 7*g + 25604, 0 = g - 4*i - 6426. Calculate the remainder when g is divided by 17.
14
Let d(r) = 74*r + 26. Let g be d(6). Suppose -3*q - 1564 = -4*t, -3*t + q + 708 = -g. Calculate the remainder when t is divided by 18.
16
What is the remainder when 17 is divided by -9*323/(-153) - (1 - -1)?
0
Let t be (21/12)/(4/16). Suppose 0 = 2*r + t - 91. Let f(z) = -77*z - 139. Calculate the remainder when r is divided by f(-2).
12
Suppose -w = 2*w + 2*t - 62, 2*t - 84 = -4*w. Suppose 2*n + 250 = 2*l - 0*l, 3*l - 387 = -n. Calculate the remainder when l is divided by w.
18
Let n = 11514 - 10298. What is the remainder when n is divided by 180?
136
Let v(w) = 5*w**2 - 34*w + 120. Suppose 2*n - 379 = -3*f, 5*f + n - 444 = 197. Suppose f = 17*s - 14*s. What is the remainder when v(8) is divided by s?
39
Suppose 11069*n - 11067*n = 210. What is the remainder when 112 is divided by n?
7
Let a(l) = -7*l - 60 + 13*l**2 + 25 + 22 + 24. What is the remainder when a(-4) is divided by 125?
122
Let y be ((-7)/2)/((-13)/(-130)). Let b = y - -49. What is the remainder when 40 is divided by b?
12
Suppose -4*q = 2*h - 88, 39*q - 44*q = h - 101. Suppose -5*f = -3*f - 18. Calculate the remainder when q is divided by f.
1
Suppose 17*m - 170 - 58 = 13*m. What is the remainder when 278 is divided by m?
50
Let o(x) = 323*x + 3564. Calculate the remainder when 3222 is divided by o(-11).
10
Suppose -3*k + 0 = -9. Let c = -406 + 436. Calculate the remainder when c is divided by -1 - k - -3 - (-36)/4.
6
Suppose -2*v + 266 = 2*i, -5*i - 157 = 54*v - 55*v. What is the remainder when 338 is divided by v?
64
Let i(h) = 59*h**2 - h. Suppose -3*k - 3*j = -48, -7*k + 6*j = 7*j - 112. Calculate the remainder when i(-1) is divided by k.
12
Let w(c) = 17*c**2 - 79*c + 149. Let j(p) = 4*p**2 - 20*p + 37. Let f = 1 - -8. Let m(s) = f*j(s) - 2*w(s). Calculate the remainder when m(14) is divided by 30.
29
Let d = 283 - 157. Let g = d + -89. Calculate the remainder when 73 is divided by g.
36
Suppose 0 = -48*a + 3545 + 3703. Let c(u) = -u**3 - u**2 + 13*u + 4. Calculate the remainder when a is divided by c(-5).
34
Let s(z) = 190*z**2 - 8*z + 6. Let m be s(1). Let r = 192 - m. Calculate the remainder when 18 is divided by r.
2
Let k(g) = -g**3 + 9*g**2 - 61*g + 195. What is the remainder when 351 is divided by k(4)?
10
Let z(k) = k**2 - 24*k + 67. Let s be z(21). Suppose 39 = -s*v + 47. Suppose -7 + 47 = 4*j. Calculate the remainder when j is divided by v.
0
Suppose n + 2*b - 70 = 0, 4*b - 6 = 10. Calculate the remainder when 65 is divided by n/4 + (-9)/72*-12.
14
Let h be (-25)/(-30) + 20/(-24). Suppose -4*c + 3*r + 0*r + 28 = 0, h = -4*r. Calculate the remainder when 27 is divided by c.
6
Let i(t) = 7*t**3 - 7*t**2 + 33*t + 10. What is the remainder when i(4) is divided by 48?
46
Let j(v) = 3*v + 5 + 17 - 1 + 7. Let d = 14 - 7. What is the remainder when j(d) is divided by 17?
15
Let k(w) = 4*w + 0 + 2*w + 3 - w + w**2. Let t = 108 - 102. What is the remainder when k(t) is divided by 10?
9
Suppose -4*x - 2047 = 3*x - 96*x. What is the remainder when 1560 is divided by x?
19
Suppose 4933 - 29395 - 8488 = -25*d. Calculate the remainder when d is divided by 60.
58
Suppose u - 114 = 3*r, 501*u = 497*u + r + 533. What is the remainder when u is divided by 35?
30
Suppose 4*d = 96 + 40. Suppose -9*y = -y - 312. Let f = 51 - y. What is the remainder when d is divided by f?
10
Let u = 176 + -176. Suppose y - 45 + 4 = u. What is the remainder when 162 is divided by y?
39
Let l(n) = n**2 + 9*n - 2. Let x = 1131 - 1067. What is the remainder when x is divided by l(-12)?
30
Let j = -50 - -80. Calculate the remainder when 125 is divided by 320/25*j/12.
29
Let o(i) be the second derivative of 0 + 1/2*i**2 - 1/6*i**3 + 1/20*i**5 - 1/12*i**4 + 39*i. Calculate the remainder when o(0) is divided by 1.
0
Suppose -11 - 19 = -3*i. Let j(r) = -r**2 - 9*r + 155. Calculate the remainder when j(8) is divided by i.
9
Let n = -376 - -463. What is the remainder when 1042 is divided by n?
85
Suppose -h - 28*h + 109 = -94. What is the remainder when 1455 is divided by h?
6
Let a = -18 + 18. Let i be -1*2/(-4)*a. Suppose i = -b - 59 + 249. What is the remainder when b is divided by 24?
22
Let l be (-1)/(-3) - 2074/(-6). Suppose 0 = -y + 2*y - l. What is the remainder when y is divided by 58?
56
Let x = -5921 - -5959. What is the remainder when 366 is divided by x?
24
Suppose 4*m - 1516 = -3*u, -3*u - 698 - 794 = -4*m. What is the remainder when m/14 - 19/(-133) is divided by 3?
0
Let a(g) = -g**3 - 34*g**2 + 60*g - 136. Calculate the remainder when a(-36) is divided by 38.
30
Let d(t) be the first derivative of t**3/3 + 15*t**2/2 - 10*t - 5. Let s be d(-16). Suppose s*w = 3*w + 36. What is the remainder when 35 is divided by w?
11
Suppose 2*p = -o + 257, 2*o + 317 - 63 = 2*p. What is the remainder when 7678 is divided by p?
126
Suppose -1274 = -2*y - 2*v, 4*y + v - 2023 = 510. Suppose 2*a = -8, a = 37*z - 41*z + 472. What is the remainder when z is divided by (-2)/(-8) + y/32?
19
Suppose 4*u + 298 = -5*q, -2*u = -4*q + 55 + 107. Let k = 68 + u. Let o(i) = -i**3 - 11*i**2 - 21*i - 10. What is the remainder when o(k) is divided by 6?
5
Let x = 219 + -216. Suppose -4*w + x*s + 199 = -2*s, 0 = -2*s + 10. What is the remainder when 153 is divided by w?
41
Suppose 5*b - 2*b + 13 = m, -5 = -2*m - b. Suppose -m*u - 3*u = -476. Let n(k) = -25*k - 213. What is the remainder when u is divided by n(-9)?
8
Let f(o) = 2*o**3 + 138*o**2 - 17*o - 351. Suppose 0*m - 2*m = -3*l + 231, -4*l + 288 = 4*m. Calculate the remainder when f(-69) is divided by l.
72
Let i = -43151 + 43177. Calculate the remainder when 2637 is divided by i.
11
Let w(p) = 110*p - 227. Let z be w(16). What is the remainder when (-23)/((4 - 0) + z/(-378)) is divided by 32?
30
Suppose -7*t + 3*j = -298, -9*j + 10*j - 216 = -5*t. Calculate the remainder when 385 is divided by t.
41
Suppose 2*g - 85 = -w, 531 = 5*w + 4*g + 136. Suppose w = 4*f - f. Calculate the remainder when 63 is divided by f.
13
Suppose 5*h - 170 = 4*b, -4*b - 75 - 19 = -3*h. Let v(x) = 4*x**3 - 5*x**3 + 152 + 5*x - 154. Calculate the remainder when h is divided by v(-3).
8
Calculate the remainder when 27478 is divided by ((-180)/33)/(46/(-253)).
28
Let c = -72 + 77. Suppose 5*q = -3*x + 53, -3*q + c = -2*q - 5*x. What is the remainder when q is divided by (-128)/(-20) + 4/(-10)?
4
Let s(j) = -28*j - 289. Let a(p) = -30*p - 286. Let c(i) = -3*a(i) + 2*s(i). Calculate the remainder when c(-8) is divided by 7.
1
Suppose -11*b - 44 = -132. Let i be b + (-5 - 4/(-2)). Suppose -2*t + i*v - 18 = -6*t, 3*t - 8 = -v. What is the remainder when 10 is divided by t?
0
Suppose v + 5*p = 6*v - 80, -2*v + 5*p + 35 = 0. What is the remainder when 43 is divided by 17/68 + v/4?
3
Suppose -4*c = -98 + 30. Suppose 4*v + 419 = 5*x, -2*x - v = -0*x - 165. Let g = 145 - x. Calculate the remainder when g is divided by c.
11
Let j = -3 - -13. Suppose -4*o = 3*d - 1, -22*o - 4*d = -17*o. Calculate the remainder when j is divided by o.
2
Suppose -11*w + 20*w = 36. Suppose 3*h - 3*v - 219 = 0, -w*h = -9*h - 4*v + 383. Calculate the remainder when h is divided by 38.
37
Let o(z) = -z**3 - 8*z**2 - 4*z + 4. Let l be o(-7). What is the remainder when -1 - (2 + -3 + l) is divided by 164/(-8) - -26 - 1/2?
2
Let z(t) = 7 + 77 + 7 + 16*t - 2*t**2 + 3*t**2. Let b(w) = -4*w - 23. Let n(m) = 9*b(m) + 2*z(m). Calculate the remainder when n(-6) is divided by 15.
11
Suppose -4*d + 5*o = -481, d + o - 165 = -47. What is the remainder when d is divided by (-3117)/(-51) + 18/(-153)*1?
58
Suppose -675 = -23*p + 2131. Calculate the remainder when p is divided by 21.
17
Let x = 2840 + -2826. What is the remainder when 103 is divided by x?
5
Suppose -2*g = 3*k - 269, -2*g - 3*k = -6*g + 565. Let q = -91 + g. What is the remainder when 333 is divided by q?
45
Suppose 5*l - 4