2
Let v(w) = w**2 + 4*w - 2. Let b be v(-4). Let a(u) = -21*u - 2. Suppose -2*i - 56 = -n - 76, -5*i = 4*n - 37. What is the remainder when a(b) is divided by i?
4
Let z = 3775 + -3712. What is the remainder when 438 is divided by z?
60
Suppose 0 = 11*k - 29 - 37. Suppose 0 = 14*i - k*i - 488. Calculate the remainder when 242 is divided by i.
59
Suppose 76*p - 430 = 289130. What is the remainder when p is divided by 1268?
6
Let a(k) = -4*k**3 + 223*k**2 + 59*k - 158. What is the remainder when 999 is divided by a(56)?
9
Suppose -636 = -0*r - 6*r. What is the remainder when r is divided by (-15)/35 + (2 - 1687/(-49))?
34
Suppose -58*p = 51936 - 134465 - 69837. Calculate the remainder when p is divided by 18.
17
Let g = 8184 + -8114. Calculate the remainder when 271 is divided by g.
61
Let d = 435 + -431. Suppose 0*b + 3 = -b, d*n - b - 215 = 0. What is the remainder when n is divided by 27?
26
Let z = 127 + -48. What is the remainder when 44 is divided by 1 + 16 + -84 + z?
8
Let c(b) = -b**2 + 32*b - 145. Let g(a) = 2*a + 58. Let w be g(-26). Calculate the remainder when c(w) is divided by 6.
5
Let w = -1268 - -1282. Let d be (12 + 2)/(2/4). Calculate the remainder when 93 is divided by 664/d + (12/w)/3.
21
Let b(o) = -2*o + 26. Let p(s) = s + 4. Let n(a) = b(a) - 5*p(a). What is the remainder when 35 is divided by n(-2)?
15
Suppose -94 = -19*n + 1. What is the remainder when 723 is divided by 1190/18 + n/(-45)?
63
What is the remainder when 249 is divided by 2068/44 - (-8)/(-3 - -5)?
45
Let g = 88 - 35. What is the remainder when 1092/70*20/3 is divided by g?
51
Let g = -1923 + 1956. What is the remainder when 144 is divided by g?
12
Let y(d) = -898*d - 5342. What is the remainder when 108 is divided by y(-6)?
16
Suppose -3*x + 138 = -3*n, -3*x = -2*n - 58 - 77. Suppose 2*g - x = g. Let v(d) = 17*d**3 - 3*d**2 + 6*d - 8. Calculate the remainder when v(2) is divided by g.
42
Suppose -3*h = 2*v + 53, 4*v = 3 + 17. Let f(z) be the second derivative of -z**3 + 51*z**2/2 - 1056*z. Calculate the remainder when f(h) is divided by 45.
42
Suppose -55651 - 187742 - 20107 = -170*p. Calculate the remainder when p is divided by 4.
2
Let b(l) = l**2 + 13*l - 10. Let o be b(-14). Let h = -1026 - -1034. Calculate the remainder when 0 - (-104*3)/o is divided by h.
6
Let x = -6928 + 6993. What is the remainder when 1372 is divided by x?
7
Let x be (4 - -194) + -2 + 0 + -2. Suppose x = 7*s + 159. What is the remainder when 178 is divided by s?
3
Let w = 2 + -17. Let u = w - -24. Suppose 48 = 37*h + 8*h - 29*h. What is the remainder when u is divided by h?
0
Let z(m) = m**3 - 11*m**2 - 26*m + 2. Let g be z(13). Calculate the remainder when 101 is divided by -1 - 0/4 - g*-23.
11
Let l(y) = -392*y + 5197. What is the remainder when 8683 is divided by l(13)?
98
Suppose -2*u - 4*o + 218 = 0, u - 4*o + 12 = 133. Let j = u - 62. Suppose -j = -5*z - 3*f, 2*z - 6*z = 3*f - 39. What is the remainder when 68 is divided by z?
8
Suppose 3*b + 15 = 4*r - 44, -3*r + 43 = -b. Suppose -11*l - 78 = -r*l. Calculate the remainder when 47 is divided by l.
21
Suppose -3*h + 33 = -9*c, 4*h + 47*c = 43*c + 12. Calculate the remainder when 7349 is divided by h.
4
Suppose -j - j + 44 = -4*y, j = -3*y + 7. Suppose -3*i + 4*x = -35, -i = 5*x + 3 + 17. Calculate the remainder when j is divided by i.
1
Let c = 32 - 16. Let m = 327 - 319. Suppose -2*a + 890 = m*a. What is the remainder when a is divided by c?
9
Let v(l) be the first derivative of 2*l**3/3 + 3*l**2 - 13*l - 1216. Let x be 10/(-2) + (1 - 1). Calculate the remainder when 25 is divided by v(x).
4
Let o = 1377 + -1355. Calculate the remainder when 193 is divided by o.
17
Let s(a) = 3*a**2 + 11*a - 4. Let x be s(-4). Suppose b = -3*o + 6*o - 15, x = o + 5*b - 5. What is the remainder when 46 is divided by o?
1
Suppose 10*f + 8*f - 72 = 0. Let p(v) = v**3 - 2*v**2 + 6*v. What is the remainder when p(f) is divided by 12?
8
Calculate the remainder when 321 is divided by ((-316)/(-28))/(19/266).
5
Suppose 5*n - 195 = -0*n. Let m = -2838 - -2982. Calculate the remainder when m is divided by n.
27
Suppose -2*h + 249 - 481 = -260. What is the remainder when 2616 is divided by h?
12
Let k(c) = c**2 + 17*c + 21. Let x be k(-17). Calculate the remainder when (1 - 190/6)/((-14)/x) is divided by (6/(-18))/((-1)/36).
10
Suppose -5*y + 325 = 35. Let c(u) = -32*u - 1. What is the remainder when y is divided by c(-1)?
27
Let l(g) = g**2 - 6*g - 79. Let a be l(10). Calculate the remainder when (a*(-88)/(-12))/(-2) is divided by 37.
32
Let l(j) = -4*j**3 + 2*j**2 + 16*j + 31. What is the remainder when 1743 is divided by l(-2)?
27
Calculate the remainder when -16 + 16 + (-4)/24 + (-27523)/(-6) is divided by 10.
7
Let p = 429 + -479. What is the remainder when (-6 + p/(-15))*-60 is divided by 18?
16
Suppose 138 + 218 = 4*z. Suppose -619 = -9*o - 1627. What is the remainder when z is divided by (-8*3)/(28/(o/3))?
25
Let g = -1138 + 1237. Calculate the remainder when 6827 is divided by g.
95
Suppose -3786*m + 5670 = -3776*m. Calculate the remainder when 1704 is divided by m.
3
Let d(h) = -12*h + 2. Suppose 7869 = 28*l + 43*l + 2615. What is the remainder when l is divided by d(-3)?
36
Let h = -22902 - -35598. Suppose 0 = -12*c + h - 2940. What is the remainder when c is divided by 37?
36
Suppose 44*y - 372 = 42*y - 2*w, 2*w - 566 = -3*y. What is the remainder when 1167 is divided by y?
3
Let l = -417 - -444. Suppose 4*y - 166 = 2*h, 34*y = 39*y - 5*h - 205. Calculate the remainder when y is divided by l.
15
Let q(m) = -117*m + 7744. Calculate the remainder when 373 is divided by q(66).
21
Let d be 5/2 + 28/(-56). Let b(g) = 9*g + 4*g - 11 - d*g + g. What is the remainder when b(10) is divided by 37?
35
Let c(v) = 2*v**3 + 10*v**2 - 28*v - 151. Let g be c(-6). Let n be -1*(0/2 - 137). Let d = n + g. What is the remainder when d is divided by 14?
12
Suppose 0 = -173*w + 1196 + 1745. What is the remainder when 203 is divided by w?
16
What is the remainder when -3 - (-4 - -3)*52 is divided by (-3)/(-5) + (-348)/(-20)?
13
Let s(m) = 149*m - 1380. What is the remainder when 390 is divided by s(10)?
60
Let p = -263 + 30. Let g = 407 + p. Calculate the remainder when g is divided by 15.
9
Let j(i) = 9*i - 23. Let s(q) = -3*q**3 - 4*q**2 - 3*q - 3. Let l be s(-2). Let f(a) = 4*a**2 - a + 2. What is the remainder when j(l) is divided by f(-2)?
16
Suppose 30492 = -64*n + 427*n. Calculate the remainder when 2687 is divided by n.
83
Let j = -26 + 42. Let m = 1700 + -1650. Calculate the remainder when m is divided by j.
2
Calculate the remainder when ((-7)/(-21))/(4/143040) is divided by 3971.
7
Let i(n) be the second derivative of n**2 - 53/3*n**3 + 28*n + 0. Calculate the remainder when i(-1) is divided by 28.
24
Let g = 87 + -57. Let h(i) = -i**2 - 2*i - 2. Let m(r) = -7*r**2 + 8*r + 21. Let q(c) = 6*h(c) - m(c). Calculate the remainder when g is divided by q(22).
8
Let n(p) = 54*p - 559. What is the remainder when 2018 is divided by n(29)?
4
Let v = -5243 - -5284. Calculate the remainder when 46 is divided by v.
5
Let v(i) = -64*i + 2. Let s(b) = b**2 - 7*b - 9. Let j be s(8). Let u be v(j). What is the remainder when (-150)/(-22) + 12/u is divided by 5?
2
Let n(z) = -28*z + 6. Let s be n(4). Let q = s + 103. Let w(l) = 18*l**2 - 3*l - 8. What is the remainder when w(q) is divided by 11?
9
Let s = -5825 + 9893. What is the remainder when s is divided by 83?
1
Suppose 73728 = 52*n + 28540. Calculate the remainder when n is divided by 145.
144
Let n = 10733 - 10598. Calculate the remainder when 15253 is divided by n.
133
Let l(x) = 16*x**3 + 4*x**2 + x - 13. Calculate the remainder when l(3) is divided by 8.
2
Suppose -5*w + 341 = 96. Let v(s) = -s**2 + 23*s + 490. Calculate the remainder when w is divided by v(-13).
5
Let h be (1/1)/((-3)/24). Let s be (h + -2)/(2/(-2)). Let j(y) = -y**2 + 12*y + 7. What is the remainder when 132 is divided by j(s)?
24
Suppose -4*c + 939 = 46*c - 5611. What is the remainder when 736 is divided by c?
81
Let u(c) = 2*c**3 - 5*c**2 + 4*c - 1. Let d be ((-2)/3)/((-4)/18). Calculate the remainder when 80 - (2 + -8)/(-6) is divided by u(d).
19
Let z = 330 - 146. Suppose 6*g - z = 134. What is the remainder when g is divided by 38?