0. What is the remainder when b is divided by 50?
8
Let z(d) = d - 16. Let n be z(7). Let s(r) = r**3 + 12*r**2 + 5*r - 9. Let w(y) = 7*y**2 + 89*y + 108. What is the remainder when s(n) is divided by w(-12)?
45
Let h = -737 - -750. What is the remainder when 122 is divided by h?
5
What is the remainder when 2863 is divided by 11 - ((-10 - -29) + -16)?
7
Suppose -15*z = -63*z + 645 + 507. What is the remainder when 6355 is divided by z?
19
Suppose 0 = -23*q + 793 + 1829. Calculate the remainder when 345 is divided by q.
3
Suppose 5*v + 2 = -5*j + v, -6 = -3*v. Let o be j/(1 + -2) + -1. Let m(c) = 66*c**3 + c**2 - c + 1. What is the remainder when m(o) is divided by 17?
16
Let l = -115 + 195. Let s be (-30)/40 + 126/8. Suppose l = -11*v + s*v. Calculate the remainder when v is divided by 7.
6
Let q(u) be the third derivative of -u**5/60 - 5*u**4/8 + 5*u**3/2 - 13*u**2 + 3. Calculate the remainder when q(-12) is divided by 27.
24
Suppose -4*l - 34 = -4*r - 158, 2*r - l = -57. Let o = 28 + r. Calculate the remainder when 6 is divided by o.
0
Suppose 88*p + 2003872 = 504*p. What is the remainder when p is divided by 50?
17
What is the remainder when (1639/(-110))/((-9)/90) is divided by 77?
72
Suppose 46*p - 45*p + 388 = w, 788 = 2*w + 2*p. Let f = 400 - w. What is the remainder when 179 is divided by f?
8
Let v(k) = k**2 - 6. Calculate the remainder when 4 - ((-6160)/50 + 1/5) is divided by v(5).
13
Let l(a) = -2*a - 1. Let i be l(-2). Suppose -3 = -5*o + i*z, -z - 1 = 2*o - 0*z. Suppose o = x + 1 - 9. What is the remainder when 37 is divided by x?
5
Let h = -17356 - -17365. Calculate the remainder when 2770 is divided by h.
7
Suppose 3*b = 6, 39*b = -2*v + 43*b + 26. Calculate the remainder when 2508 is divided by v.
9
What is the remainder when -9 - (83980/(-285) - (-5)/3) is divided by 18?
14
What is the remainder when 913 is divided by 3/(6/(-10))*360/(-300)?
1
Let d(t) = 30*t + 51. Let i be d(6). Suppose 2*a + 2*m - 522 = -0*m, 0 = a - 5*m - i. What is the remainder when a is divided by 20?
16
Calculate the remainder when 17558/21 + 12/1512*-12 is divided by 407.
22
Let b(p) = 3*p**3 - 3*p**2 - 2*p + 1. What is the remainder when b(4) is divided by 10/(2 - ((-16)/(-280) - (-232)/140))?
32
Suppose 2*n = n + 5*q + 115, 2*n = 2*q + 238. Suppose -2*k - n = -6*k. What is the remainder when k is divided by ((-136)/170)/((-25)/500)?
14
Let x = 303 - 303. Let g = 23 - 12. Let y = x + g. Calculate the remainder when 53 is divided by y.
9
Let u = 68 + 2. Suppose 2*m = u + 70. Suppose -14*s = 819 - 1029. Calculate the remainder when m is divided by s.
10
Suppose 58*l - 51874 = -1251 + 9581. Calculate the remainder when l is divided by 54.
12
Let j be (-38)/12 + (-7)/(-42). Let q be (10 + -8)*(0 - j). Suppose m = q*m - 110. Calculate the remainder when m is divided by 12.
10
Let f(t) = t**2 + 8*t - 28. Let y be f(-6). What is the remainder when 44 is divided by (75/50)/((-6)/y)?
4
Suppose -5*d = -0*o + o - 2034, 2*d + o = 813. Calculate the remainder when d is divided by 75.
32
Let o = 303 - 271. Suppose 2 - 27 = 5*k. Let w = k + o. What is the remainder when w is divided by 15?
12
Suppose -31*x - 114 = -12*x. Calculate the remainder when 1 + -5 + 22*x/(-2) is divided by 32.
30
Let z = 10385 - 10369. What is the remainder when 365 is divided by z?
13
Let h(o) = -o + 1. Let d be h(-9). Let u(x) be the second derivative of -x**4/6 + 7*x**3/2 - 2*x**2 - x - 7. What is the remainder when 7 is divided by u(d)?
1
Calculate the remainder when (4/(-6)*-3)/(-10*8/(-12560)) is divided by 43.
13
Let f(r) = 114*r - 1571. Calculate the remainder when 158 is divided by f(14).
8
Let l = -1938 - -1953. What is the remainder when 1483 is divided by l?
13
Let j = 235 - 134. Suppose -99*z + 131*z - 1120 = 0. What is the remainder when j is divided by z?
31
Suppose -5*l + 4045 = 3*m, 2*l - m = 1268 + 350. Calculate the remainder when l is divided by (3/(-12) - (-1610)/(-56))*(-3 + 1).
55
Suppose -5*n + 113 = -4*o + 29, -2*n = -3*o - 35. Calculate the remainder when 60 is divided by n.
12
Calculate the remainder when 4082 is divided by (2688/(-72))/28*(-387)/12.
40
Suppose 0 = -2*s - 0*s + 24. Let v be 580/(-180) - (-4)/18 - -16. Suppose 0 = -v*a + s*a + 30. Calculate the remainder when 59 is divided by a.
29
Let u = -15952 - -18273. Calculate the remainder when u is divided by 771.
8
Let v(s) = s**3 + 18*s**2 + 17*s + 3. Let a be v(-17). Let k(w) = -4*w - 2 + 6*w + 7 + 11*w**2 - 3*w**2. What is the remainder when k(a) is divided by 28?
27
Suppose 0 = -4*b + 24 - 8, 0 = 2*c - 4*b - 86. Let f = c - -1. What is the remainder when f is divided by 6/(-9) - (-35)/3?
8
Let a = -9756 + 9974. What is the remainder when a is divided by 4?
2
Let a be (8/(-7))/(((-24)/(-28))/(-3)). Let r be -3 - ((-1)/a + (-15)/(-12)). What is the remainder when 55 is divided by (1 - r) + 6 + 0 + -4?
6
Let z = -2981 - -2996. Calculate the remainder when 677 is divided by z.
2
Suppose 4*a - 2*a - 14 = -2*g, -3*g + 5 = a. Suppose 0 = -0*o - 4*o + a. What is the remainder when (38/6)/(o/6) is divided by 10?
9
Let m(v) = v**3 + 117*v**2 - 488*v + 1080. Calculate the remainder when m(-121) is divided by 121.
112
Suppose 2*g + w = -2, -g + 4*w + 1 = -2*g. Let z(h) = -2*h + 2. Let m(b) = 7*b + 1. What is the remainder when m(4) is divided by z(g)?
1
Let n(q) = 3*q**2 + 1. Suppose 12*k - 61 = -13. Suppose v - i + 0*i = -1, 3*v + k*i = 18. Calculate the remainder when 50 is divided by n(v).
11
Let s(v) = 8*v**2 + 2*v - 4. Let a be s(-3). Suppose 46 = -u + a. Calculate the remainder when 62 is divided by u.
14
Let g = 5191 - 5186. Calculate the remainder when 854 is divided by g.
4
Let i = 10055 + -9905. Calculate the remainder when i is divided by (-2)/11 - (-8445)/165.
48
Let o = -88 - -68. Calculate the remainder when 87 is divided by 43 + o + 0/2.
18
What is the remainder when 6667 is divided by 366750/165 + (-24)/33?
1
Suppose d = 10 + 44. Suppose 160*l - 183*l = -483. What is the remainder when d is divided by l?
12
Suppose 4*a - 197 = 5*w, 0*a - 3*a - 5*w + 139 = 0. Suppose a = 7*r - 15. Suppose 6*d = -0*d + 174. What is the remainder when d is divided by r?
2
Calculate the remainder when -1*1*(-4441 - (-418)/(-19)) is divided by 16.
15
Suppose -3*a + 122 + 4 = 0. Suppose -12*c = -160 - 68. Suppose f + 4*h = 3*h + c, -5*f + 91 = 4*h. What is the remainder when a is divided by f?
12
Suppose 3*c - 5*z = 193, -2*c + 4*z - 16 = -146. Let n = 63 - c. What is the remainder when 34 is divided by n?
0
Suppose 4*z = -2*o + 126, 5*z - 7*z = 4*o - 54. Suppose 3*q - 225 = -z. Suppose 0 = 9*j - 54 - 63. Calculate the remainder when q is divided by j.
12
Let y = 10659 + -10489. What is the remainder when 509 is divided by y?
169
Suppose 28*l - 5202 = 16*l + 26646. Calculate the remainder when l is divided by 7.
1
Let h(d) = 4*d + 1. Suppose 3*o - 4 = o. Calculate the remainder when (-8 + -2 + (-21)/7)/((-12)/24) is divided by h(o).
8
Let c(s) = -95 - 187*s + 365*s - 192*s. What is the remainder when 30 is divided by c(-8)?
13
Let g(o) = -o**2 + 105*o - 870. What is the remainder when g(23) is divided by 128?
120
Let q be 18 + -12 - (0 + -294). Suppose 12*g = -8*g + q. Calculate the remainder when 6/1*27/6 is divided by g.
12
Suppose 4*b - w - 14 = 0, -4 = -b + 2*w + 3. Suppose 60*d - 145 = -b*a + 56*d, -3*a + 185 = -4*d. What is the remainder when a is divided by 4?
3
Let z(r) = 178*r**3 + 2*r**2 - 50*r + 48. What is the remainder when z(1) is divided by 48?
34
Suppose 3*q - 10 = -v, -q + 3*q = -3*v + 16. Suppose j + 101 = 2*n, 2*n + 3*j + q*j - 107 = 0. Calculate the remainder when n is divided by 6/(-4)*(2 - 8).
6
Let i = -177 + 258. Let m = i + -44. Calculate the remainder when 144 is divided by m.
33
Let t = 412 + -193. Suppose -3*b + 29*v = 32*v - 51, -5*b - v = -105. Calculate the remainder when t is divided by b.
21
Let z(b) = 82*b - 49. Let p be z(4). Let u = p + -264. What is the remainder when 492 is divided by u?
12
Let g(t) = 11*t + 192. Let w be g(-17). Suppose 4*v = -2*r + 268 - 46, 3*r - w*v = 311. What is the remainder when r is divided by 18?
17
Let l be (2 + 2)/((-1)/6). Let i = l - -56. Suppose 34*s = i*s + 26. Calculate the remainder when 35 is divided by s.
9
Suppose -4*a + 396 = 2*y, 3*y - 4