 What is the remainder when 376 is divided by q?
17
Let z(r) = r**3 - 42*r**2 - 1137*r - 1335. Let y(m) = -16*m - 5. Calculate the remainder when y(-5) is divided by z(61).
5
Suppose -55*m = -58*m - 3*u + 1218, -5*u = 4*m - 1630. Calculate the remainder when m is divided by 149.
102
Let c be (-18)/(-15)*-1 - (-168)/40. Calculate the remainder when -1*(2/c*-3 + -231) is divided by 60.
53
Suppose -143 = -7*y - 80. Let r(n) be the third derivative of -n**4/8 - 17*n**3/6 - n**2. Calculate the remainder when y is divided by r(-7).
1
Let l = 895 - 687. What is the remainder when l is divided by 9?
1
Let z(w) = 14*w**2 + 176*w - 4550. What is the remainder when z(26) is divided by 202?
198
Let r = -103 - -179. Suppose 2*w = -3*d + r + 160, 3*w = d + 365. What is the remainder when w is divided by 46?
29
What is the remainder when 6 + 16422/18 + 12/(-9) is divided by 103?
93
Let t = -20573 + 21578. What is the remainder when t is divided by 204?
189
Let g(i) = 22*i**3 - 552*i**2 + 40*i + 358. Suppose -119 - 17 = -4*q. Let w = q + -12. Calculate the remainder when g(25) is divided by w.
20
Let l = 37 + -33. Let k = -30 - -34. Suppose 4*y = 2*h + 10 - 30, k*h = -5*y + 79. Calculate the remainder when h is divided by l.
0
Suppose 199*h - 3462 = -5*t + 196*h, t - 3*h - 696 = 0. Calculate the remainder when t is divided by 17.
13
Suppose -g + 67 = -6*g - 4*k, -37 = 3*g + 4*k. Let h(f) = 3*f**2 + 43*f - 18. What is the remainder when 152 is divided by h(g)?
8
Suppose 0 = -2*u + 4*y + 476, 2*u + 12*y - 8*y = 452. What is the remainder when u is divided by 121?
111
Suppose 2*d = 2*n + 2, -3*d - 1 = 2*d - 2*n. Let b be ((d - -155)/(-7))/(4/(-2)). Suppose b*p - 777 = 4*p. Calculate the remainder when p is divided by 28.
27
Let v(t) = t**2 - 172*t - 654. What is the remainder when 233 is divided by v(-4)?
33
Let h = -175 + 177. What is the remainder when 44 is divided by (-11)/(-55) - h/10 - -8?
4
Let p = 277 + -278. What is the remainder when (-3 - (4 + p))*(-1284)/72 is divided by 27?
26
Let w = 913 + -872. Calculate the remainder when 82 is divided by w.
0
Suppose d + 4 = 3*d. Suppose -6*k - 5*n + 61 = -3*k, -3*k + d*n = -89. Let y = 6 + k. What is the remainder when y is divided by 18?
15
Let t be (-121)/(10/2 - 4). Let h = 139 + t. Calculate the remainder when (20/2)/(1/7) is divided by h.
16
Suppose -44*k + 41*k = 4*b - 528, 5*k - 3*b = 938. Calculate the remainder when k is divided by 57.
13
Let v be -3 - 7/14*-42. Suppose -2*s = i - v, 5*i + 8 - 133 = -3*s. Calculate the remainder when 183 is divided by i.
15
Let f = -59 + 200. What is the remainder when f is divided by -49*33/1309*-17?
15
What is the remainder when 631 is divided by (25/(-15))/((-20)/360)?
1
Let g be (1 + (-1 - -10))/2. Let n(w) = 7*w + 12. Calculate the remainder when n(g) is divided by 10.
7
Suppose 226 + 181 = -3*z + 491. What is the remainder when 143 is divided by z?
3
Suppose 0*s - 5*z - 104 = -3*s, -z = 5*s - 136. Suppose 10*g - 9*g - s = 0. Let i(p) = p**2 + 4*p - 15. What is the remainder when i(6) is divided by g?
17
Let w = -9484 + 9499. What is the remainder when 198 is divided by w?
3
Suppose 3*k - 4*t - 151 = 0, 3*k - 4*k - 3*t = -59. What is the remainder when -3 + 104/1 + 3 is divided by k?
51
Suppose 83*n + 414 = 86*n. Let t = -111 + n. Calculate the remainder when 59 is divided by t.
5
Let l(c) = 5*c**3 - 76*c**2 - 45*c - 21. What is the remainder when l(16) is divided by 60?
43
Let z = -100 - -105. Calculate the remainder when (-570)/(-27) + (-4)/36 + -2 is divided by z.
4
Suppose -3*g + 14*m = -376, 7*m = -3*g + 11*m + 206. Suppose 2*p + 10 = -3*j + 21, 25 = 4*p + 5*j. Calculate the remainder when g is divided by p.
6
Let v(n) = -25*n + 3017. Let c be v(0). Suppose -23*u = -30*u + c. What is the remainder when u is divided by 12?
11
Let c(x) = -68*x - 63. Let t = -41 + 41. Suppose n - 5*a = -3 + 2, -4*n - 2*a + 106 = t. What is the remainder when n is divided by c(-1)?
4
Let a(o) = o**2 - 842*o + 3375. What is the remainder when 4207 is divided by a(4)?
21
Suppose 4*u - 1705 = -4*v + 3819, -2*u + 2765 = 3*v. Suppose -22*x = -u + 498. Calculate the remainder when 149 is divided by x.
29
Suppose d - 13 = -3*g + g, 5*g + 26 = 4*d. Suppose -3*a = d - 27. What is the remainder when 4/(-7 + 5)*(-10 - 0) is divided by a?
2
Let g(k) = 31*k + 3275. Suppose 0 = -0*m - m + 78. Calculate the remainder when m is divided by g(-105).
18
Let l be 210/4*(-1)/((-20)/32). Let s be 4/(-8)*4 + 2. Suppose s = 14*u - 10*u - l. What is the remainder when 79 is divided by u?
16
Suppose 0 = -9*j + 5*j + 488. What is the remainder when j is divided by (-1)/(0 - (-5)/(-175)) + -4?
29
Let d be (-328)/(-40) - 8/(-10). Suppose d*a - 8*a = -71. Let y = -65 - a. What is the remainder when 11 is divided by y?
5
Let b(i) = 179*i**2. Let q be b(1). Suppose 0 = -4*l + q + 69. Let w = 117 + -101. Calculate the remainder when l is divided by w.
14
Suppose -3*a + 4*c + 521 = 0, 5*c = 19*a - 16*a - 514. Calculate the remainder when 2012 is divided by a.
182
Let s = -6 + 14. Suppose 63 = s*t - 33. What is the remainder when 61 is divided by t?
1
Let q = -508 - -537. Let z(u) = -2 + 11*u + 7*u - 1 + 12*u. Calculate the remainder when z(2) is divided by q.
28
Suppose 0 = 3*r - f - 284, -5*f - 304 = r - 4*r. What is the remainder when 525 is divided by r?
60
Let b(l) = 4*l - 55. Let o = -182 - -198. Let m = 6 + 8. What is the remainder when m is divided by b(o)?
5
Let b(y) = -y**3 + 3679*y + 18 - 3679*y + 9*y**2. What is the remainder when b(6) is divided by 43?
40
Let q = -19 + 49. Let y = -401 - -406. Suppose 6*x - 4*i = 2*x + 48, -2*x + y*i + 27 = 0. Calculate the remainder when q is divided by x.
8
Let o(q) = q**2 + 41*q + 276. Let y = -390 - -584. Calculate the remainder when y is divided by o(-35).
62
Let c(h) = 5*h**2 + 250*h + 60. What is the remainder when 487 is divided by c(-50)?
7
Suppose 0*t = -t - 3*o + 206, -3*t = -5*o - 646. Let x = 107 - t. Let n = x - -116. Calculate the remainder when n is divided by 6.
5
Suppose -2*f = -2*h - 3 + 1, -f = -5. Suppose -h*s = -2*d + 348, 4*s + 419 = 5*d - 469. Calculate the remainder when d is divided by 13.
11
Suppose 19*y - 14257 = -14181. Calculate the remainder when 3437 is divided by y.
1
Let v(z) = -19 + 50 - 27 + 3*z + 2*z**2. Suppose 0*n - 31 = -n - 3*b, -b + 99 = 5*n. What is the remainder when v(3) is divided by n?
12
Let r = 343 - 169. Let l = 21456 + -21420. What is the remainder when r is divided by l?
30
Suppose -492*o = -443*o - 15778. Calculate the remainder when o is divided by 255.
67
Suppose g = n - 866, 24*n + 852 = 25*n - 3*g. Calculate the remainder when n is divided by 39.
15
Let i(r) = -r**2 + 16 - 7*r - 32 + 13 + 12. Calculate the remainder when i(-6) is divided by (-61)/(-7) + 6/21.
6
Suppose -4*t - 52 = 3*p - 188, 0 = p - 12*t - 32. Calculate the remainder when 108 is divided by p.
20
Let y(f) = 50*f - 15. Suppose -l - 4*w + 10 = -3*l, l + 5*w = 23. What is the remainder when y(l) is divided by 28?
23
Let x = -35 + 37. Suppose x*o + z = 12, -o + z = -4*o + 18. What is the remainder when 18 is divided by o?
0
Suppose -2*f - f = 150. Suppose 2*l = 3*p - 59, -16 = -2*l - 0*l. Calculate the remainder when 8 is divided by (-5)/(-2) - p/f.
2
Suppose 5*v = v + 484. Calculate the remainder when v is divided by 80/(-1)*4/(-10).
25
Suppose 9 + 6 = j. Let x = -55 - -55. Calculate the remainder when (6 - x)/((-6)/(-56)) is divided by j.
11
Suppose u = -4*q + 150, 15*q - 10*q = -4*u + 182. What is the remainder when 560 is divided by q?
28
Suppose 2532 = 22*h + 250*h - 460. Suppose w - 48 = -4*l, 0 = -w - 2*l - 5 + 45. What is the remainder when w is divided by h?
10
Suppose 13607 = 3*y - z, -2*y - 4*z - 9078 = -4*y. Calculate the remainder when y is divided by 21.
20
Let d = 0 - -4. Suppose 5*h + b - 50 = 0, d*h - 4*b - 40 = -b. Suppose 99*a - 3402 = 69*a - 1332. What is the remainder when a is divided by h?
9
Let j(v) be the third derivative of 17*v**5/12 - v**4/6 + 2*v**3/3 + 96*v**2. Calculate the remainder when j(1) is divided by 20.
5
Let f(v) = -v**2 - 21*v - 26. Let s be f(-19). Calculate the remainder when 17 is divided by (6 + -5 - -4)*s/20.
2
Let d = 2065 + -2058. What is the remainder when (-3)/2*68/(-6) is divided by d?
3
Suppose