e (-1 - 75/r)/((-3)/9). Let i = x - -54. Calculate the remainder when i is divided by 11.
10
Suppose 58*l - 63*l + 198 = -4*x, -3*x = -5*l + 201. What is the remainder when 143 is divided by l?
17
Suppose 2*o + 3*h = 99 - 7, 2*o + 2*h - 90 = 0. Suppose -2*u + 30 = 2*f, u - 3 = -5. Let v = f - 6. What is the remainder when o is divided by v?
10
Let i(s) be the second derivative of 2*s**3/3 + 5*s**2 - 17*s. Let n be i(-2). Suppose n*k - 32 - 14 = 0. What is the remainder when 112 is divided by k?
20
Let t = 107 + -107. Let a(d) = 22*d + 24. What is the remainder when 61 is divided by a(t)?
13
Calculate the remainder when 130 is divided by (-2*3/15 + (-189)/15)*-2.
0
Let k(a) = a**3 - 8*a**2 - 5*a - 8. Let i = 298 + -429. Let t = 296 + i. Calculate the remainder when t is divided by k(9).
25
Let b(n) = -2*n**2 + 157*n - 396. Calculate the remainder when b(74) is divided by 93.
84
What is the remainder when (-20)/((-40)/(-3))*-634 is divided by 159?
156
Suppose 27*z - 8 = -8. Suppose -33*m + 3413 + 14308 = z. What is the remainder when m is divided by 36?
33
Let h = -11541 - -11577. Calculate the remainder when 458 is divided by h.
26
Let v(o) = o**3 + 7*o**2 - 3*o - 27. Calculate the remainder when 4179 is divided by v(-5).
37
Suppose 0 = -0*p - 4*p - 5*y + 8, 5*y = 0. What is the remainder when 128/12*(1 + p/1) is divided by 12?
8
Let a = -280 + 295. Calculate the remainder when 140 is divided by a.
5
Let a be (-36 - 0)*2/(-4). Let g(c) = 2*c. Let m be g(2). Let h = a - m. Calculate the remainder when 22 is divided by h.
8
Let u(d) = -1277*d + 5137. What is the remainder when 1738 is divided by u(4)?
27
Let h = 270 + -267. Let r(z) = -z**3 - 6*z**2 + 6*z + 6. Calculate the remainder when r(-8) is divided by (h/2)/(-1)*(-440)/15.
42
Let b(s) = -s**3 - 13*s**2 - 8*s - 32. Let z be b(-14). Suppose z = -99*u + 105*u. What is the remainder when 266 is divided by u?
36
Let x(a) = 2*a - 16. Let p be x(8). Suppose 4*r - 425 - 95 = p. Suppose -3*m + 5 + r = 0. What is the remainder when m is divided by 16?
13
Suppose -3*f = -4*f + 3*u + 25, 2*f = 4*u + 54. Suppose -2*y = 3*k - f, -y + 29 = 3*k + 9. Calculate the remainder when (64/(-20))/((-5)/100) is divided by y.
9
Suppose 0 = -90*t + 141*t - 1887. What is the remainder when 403 is divided by t?
33
Suppose 1885 = -60*r + 55*r. Let b = r - -585. What is the remainder when b is divided by 42?
40
Let v(w) = w**2 + 7*w + 6. Let k be v(-2). What is the remainder when k/6*((-20574)/4)/9 is divided by 8?
5
Suppose -2*a - a + 9 = 0. Let o(m) = -11*m**3 + 9*m**a - 4*m**2 + 6*m - m + 7. What is the remainder when o(-4) is divided by 28?
23
Let c = 3248 + -2589. What is the remainder when c is divided by 215?
14
Suppose -2*l + l + 5 = 0, 2*g + l - 2411 = 0. Calculate the remainder when g is divided by 5.
3
Let b(g) = 27*g - 77. Let c be b(4). Suppose w = 2, 3*z - 26 = -c*w + 36*w. What is the remainder when 46 is divided by z?
10
Let x(k) = 12*k**3 - k**2 - 5*k + 9. What is the remainder when x(2) is divided by (13 + 3)*((-2)/(-1) + 0)?
27
Let n(b) = 5*b**2 + b - 2. Let w be n(-4). Let z = -4079 + 4126. Let d = w - z. What is the remainder when d is divided by 16?
11
Suppose 0 = 5*a + 649 - 4144. What is the remainder when a is divided by 7?
6
Suppose 291*y - 553 = -290*y + 574*y. Calculate the remainder when 623 is divided by y.
70
Let w = -4107 - -4176. What is the remainder when w is divided by 19?
12
Let q(i) = 7*i**2 + 59*i - 1041. Calculate the remainder when q(25) is divided by 166.
161
Let r(x) = -14*x + 62. Let t be r(6). Let f(a) = -8*a - 163. What is the remainder when 141 is divided by f(t)?
11
Let a = -15 - -7. Suppose 10 = -5*j + 5*v - 70, 32 = -4*j - 4*v. Let k = a - j. What is the remainder when 14 is divided by k?
2
Calculate the remainder when (-8 + (-3718)/55)*(-15)/9 is divided by 112.
14
Suppose 4*f = -5*x + 808 + 513, 0 = 2*f + 3*x - 661. What is the remainder when 476 is divided by f?
147
Let c(b) be the first derivative of 2*b**3/3 - b**2 + 3*b - 11. Let i be c(1). Suppose -i*r + 112 = r. What is the remainder when r is divided by 15?
13
Let x(k) = -2*k**3 + 99*k**2 + 271*k - 529. Calculate the remainder when 1886 is divided by x(52).
37
Suppose 0 = y + 42 + 1. Let h = y + 61. What is the remainder when 161 is divided by h?
17
Suppose -3*f + 18 + 0 = 0. Suppose 22*r + 11 = -11. Calculate the remainder when 29 is divided by r*f/(-4)*6.
2
Let l = -4390 - -4717. Calculate the remainder when l is divided by 110.
107
Suppose -208 - 12 = -4*z. Let c be (3/2)/(14/252). What is the remainder when z is divided by 4/(-6) - (-531)/c*1?
17
Let t = 267 + -35. Let d = 4400 - 4383. What is the remainder when t is divided by d?
11
Let r(w) = w**2 + 41*w - 267. Calculate the remainder when 3823 is divided by r(-47).
13
Let z(w) = 54*w - 41. Suppose r - o = o - 8, -5*r + 3*o = 5. Calculate the remainder when 194 is divided by z(r).
60
Suppose -2*x + 2 = 0, 5*d - 17*x - 279 = -16*x. What is the remainder when 286 is divided by d?
6
Let d(o) = -2*o + 3 + 60 + o. Suppose -4*a - b + 89 = -6*b, 5*b + 25 = 0. What is the remainder when d(0) is divided by a?
15
Suppose 0 = 41*x - 1734 - 1993 - 1644. What is the remainder when 352 is divided by x?
90
Let c be -14*(9 - 7) - -4. Calculate the remainder when (-9459)/c + 4/(-32) is divided by 6.
4
Calculate the remainder when 6202 is divided by (2048/80)/(8/(-28) + 120/175).
58
Suppose 2*b - 160 = -5*j, -603*b + 4*j = -601*b - 178. What is the remainder when 11898 is divided by b?
83
Let a = 202 - 29. Let u = a + -155. Calculate the remainder when 34 is divided by u.
16
Suppose -j = 296*j - 2673. Calculate the remainder when 8385 is divided by j.
6
Let q(v) be the first derivative of -v**3 - 91*v**2/2 - 24*v + 23. Calculate the remainder when 11 is divided by q(-30).
5
Let i(s) = 3*s + 9. Let g be i(5). Suppose -g*o + 25*o + 44 = 0. What is the remainder when (-3)/(2*6/o) is divided by 3?
2
Let s = -53923 + 53953. Suppose 0 = 3*i - 2*a + 8, 4*i = -a - 4*a + 20. Let b = i - -8. What is the remainder when s is divided by b?
6
Let c(h) = 9*h**3 - 78*h**2 - 115*h - 3. Calculate the remainder when c(12) is divided by 29.
8
Suppose 62*m = 207 + 289. Let r(h) = -h**3 + 9*h**2 - 19. Calculate the remainder when r(m) is divided by 19.
7
Suppose -f = -3*z + 165, -2*z + 110 = -2*f + f. Calculate the remainder when z is divided by 6/(-8)*(-1344)/126.
7
Suppose i - 50 = 31. Let n be (12 - 3)/(10/170). Suppose -n - i = -3*c. Calculate the remainder when c is divided by 14.
8
Suppose -540*h + 536*h = 0. Suppose -6*b + 3*f = -10*b + 301, 4*b - f - 305 = h. Calculate the remainder when b is divided by 30.
16
Suppose 346 = -4*c + 2086. Suppose 0 = -428*i + c*i - 322. What is the remainder when i is divided by 18?
10
Let u = 72 + -62. Suppose 0 = -2*d + 3*w - 2*w + 71, 2*w - u = 0. Suppose -r + 5*r + d = 2*j, -4*r - 16 = 0. What is the remainder when 32 is divided by j?
10
Suppose -570710 = -175645*i + 175631*i. What is the remainder when i is divided by 127?
125
Let n = -7568 + 7638. What is the remainder when 1652 is divided by n?
42
Let w(x) = -4*x**2 - 4*x + 10. Let a be w(3). Let l = 28 - a. Let v = l - 41. Calculate the remainder when v is divided by 7.
4
Suppose 0 = -3*c - a, 2*c - 301 + 273 = 4*a. What is the remainder when 88 is divided by c?
0
Suppose -324 = -2*w - 4*i, 153*i - 154*i = 3*w - 496. What is the remainder when 647 is divided by w?
149
Suppose 0 = 3*x + 27, -3*u + 2154 = 3*x - 0*x. Calculate the remainder when u is divided by 5.
2
Let m(p) = p**2 - 41 - 11*p - 10*p - 8*p - 4*p - 110. Calculate the remainder when 116 is divided by m(-5).
38
Let c(x) = -2*x**2 + 2*x - 4. Let o be c(3). Let l = o - -24. Suppose -12 = -5*g - 4*r, -18*g + 22*g - 8*r = 144. What is the remainder when g is divided by l?
4
Let f = -87 - -124. Suppose 91*m - 43820 = -535*m. What is the remainder when m is divided by f?
33
Let o(p) = -p**3 - 2*p**2 - 71*p - 290. What is the remainder when o(-5) is divided by 117?
23
Let x(i) = 4*i**3 + 2*i**2 + 8. Let d be x(-4). Let t = 278 + d. Calculate the remainder when t is divided by 16.
14
Let u = -10 - -12. Let j(t) = 2*t**2 + t + 11*t - t**u - 9*t + 6. Calculate the remainder when 117 is divided by j(-6).
21
Let n be 100/30*(-3)/2. Let c(z) = z