. Calculate the remainder when 267 is divided by 3*(-5 - b/(-7)).
27
Suppose -3*f - 2596 = -5*v, 0 = 3*v + 11*f - 14*f - 1554. Calculate the remainder when v is divided by 132.
125
Let p(t) = 8*t**2 - 3*t - 4. Let r = -4 - 0. Let f be p(r). Suppose 3*k = -4*u + 6*k + f, -5*u + 167 = -3*k. Calculate the remainder when 152 is divided by u.
28
Let d = 18 - 7. Let c = 993150 + -993124. Calculate the remainder when c is divided by d.
4
Suppose 3*d - 2*k - 137 = 2*k, -186 = -4*d + 2*k. Let l(j) = 13*j + 300. Calculate the remainder when d is divided by l(-22).
5
Suppose -4*a + 12 = 0, 0 = 3*r - 2*a + 53 - 11. Let o be 31*(-6)/r*-2. Let l = o + 52. Calculate the remainder when 57 is divided by l.
15
Suppose 8*p = 18*p - 3170. Let s = p - 306. Suppose 0 = -2*u - 3*u + 180. Calculate the remainder when u is divided by s.
3
Let n be (-5)/((-25)/55)*-3. Calculate the remainder when n/(-99) - 377/(-3) is divided by 26.
22
Let x be ((-22)/(-10))/(-3*(-6)/(-90)). Calculate the remainder when (6/(-12)*10)/(1/x) is divided by 6.
1
Let z be (4 + -5)/((-1)/5). Suppose -m = z*y - 85, -105 = -3*m + y + 166. Let t(i) = -40*i + 13. Calculate the remainder when m is divided by t(0).
12
Suppose 0 = -2*j + 3*j - 31. Suppose -q - 3*p = 6, -2*q + 4*p + 0*p = -28. Calculate the remainder when j is divided by -4 + (20 - q) + -1 + 2.
9
Suppose x = 3*y + 12, 5*x + y + 14 = 2*x. Let t be ((-1)/x)/((-8)/120). Calculate the remainder when 47 is divided by (-4 - 92/(-20)) + (-37)/t.
7
Calculate the remainder when (-6 - (-3 + 1))*17450/(-100) is divided by 694.
4
Suppose -11*b = -18*b + 3234. Let d = 468 - b. Suppose 3*v + 60 = 7*v. Calculate the remainder when v is divided by d.
3
Suppose -h = -15 + 12. Let a be -5 - -3 - -4 - 16. What is the remainder when 104 is divided by (-180)/(-96)*(-4)/h*a?
34
What is the remainder when 422 is divided by (-6)/((-222)/630 + 20/70)?
62
Suppose -b = 3*f - 174, 350 = 2*b + 2*f + 3*f. Suppose 5*r - 25*h - 90 = -30*h, 3*r - 24 = 3*h. What is the remainder when b is divided by r?
11
Let r(w) = -27*w - 159. Let z be r(-6). Suppose 0 = -5*i + 4*i + p + 158, 514 = z*i + 5*p. What is the remainder when i is divided by 15?
13
What is the remainder when 1007 is divided by 346 + 22 + (-37 - -11)?
323
Suppose -164 + 1 = -3*h - 4*l, l = -3*h + 151. Suppose -4*b + 125 = -1463. Let c = -153 + b. What is the remainder when c is divided by h?
48
Let v = -769 + 1037. Calculate the remainder when v is divided by 84.
16
Suppose 0 = c + 4*o - 250, 245 = -33*c + 34*c + 5*o. Calculate the remainder when c is divided by 166.
104
Let h be ((-319)/33)/((-2)/42). Suppose 7*m = -0 + h. Calculate the remainder when ((-44)/8)/(1/(-26)) is divided by m.
27
Let s(k) be the first derivative of -5*k**2/2 - 10*k - 28. Let l be s(7). Let f = l - -72. Calculate the remainder when f is divided by 15.
12
Let f(x) be the first derivative of 19*x**3 - 3*x**2/2 - 4*x - 93. What is the remainder when 221 is divided by f(-1)?
53
Let x = -188 + 237. Calculate the remainder when 237 + -9 + (9 - -6) is divided by x.
47
Let g(x) = x + 50. Let n = -88 - -65. Let b be g(n). Calculate the remainder when 99 is divided by (-90)/b*30/(-4).
24
Let h be 45/27 + 2/6. Let i(j) = 8*j + 3. What is the remainder when 91 is divided by i(h)?
15
Let g(p) = p**3 + 13*p**2 + 9*p - 28. Let t be g(-12). Suppose -25*r + 578 = -t*r. What is the remainder when 132 is divided by r?
30
Let j = 449 - 374. Suppose -4*k + j + 17 = 0. What is the remainder when 40 is divided by k?
17
Let l be ((0/(-1))/1)/(-2). Suppose l = -2*g + 274 + 18. Calculate the remainder when g is divided by 45.
11
Suppose 4*m = 2*m + 98. Let r be (-18)/(-6)*(-98)/(-6). Let z = 59 - r. Calculate the remainder when m is divided by z.
9
Let p(k) = 9*k**3 + 3*k**2 - 3*k. Suppose 80 + 6 = z. Suppose -m - m + z = 0. Calculate the remainder when m is divided by p(1).
7
Let s = 3520 - 3489. Calculate the remainder when 86 is divided by s.
24
Let q(c) be the first derivative of 0*c**2 - 5 + 2/3*c**3 + 5*c - 3/4*c**4. Calculate the remainder when q(-3) is divided by 21.
20
Let x = 23 + 48. Let q(h) = 2*h**2 - 4*h - 12. Suppose -14 + 24 = 2*j. What is the remainder when x is divided by q(j)?
17
Let u(x) = -17*x**3 + x - 2. Suppose -14*w + 9*w + 5 = 0. Let z be u(w). What is the remainder when ((-3)/z)/((-5)/10)*-237 is divided by 10?
9
Let v = 2 + -10. Let u be v*(7/(-2))/(-7). What is the remainder when 2 is divided by u/(-5 - 9/(-3))?
0
Let x(d) = -7*d - 129. Let y be x(-26). Suppose 0 = -50*w + y*w - 426. What is the remainder when w is divided by 18?
16
Let o = 342 + -50. Suppose 273 + o = 5*v. Suppose -23 = 3*q - v. Calculate the remainder when 85 is divided by q.
25
Let v = 5911 + -5309. Calculate the remainder when v is divided by 44.
30
Suppose 0*i + 2*w = i - 140, 0 = 5*i + 3*w - 739. Let d = -101 + i. Calculate the remainder when d is divided by 13.
6
Let x(y) = 4*y + 67. Suppose 3*f - 12 + 76 = -5*i, 2*i + f + 26 = 0. What is the remainder when (-2)/(-6) + 322/6 is divided by x(i)?
10
Calculate the remainder when (6 + (-56)/35)/((-4)/(-760)) is divided by 40.
36
Let y = 555 + -641. Let z = y + 96. What is the remainder when 338 is divided by z?
8
Suppose 104*x - 21464 = 23048. What is the remainder when x is divided by 33?
32
Let n = -50 - -94. Let d(p) = p**2 + 44*p + 516. What is the remainder when d(-19) is divided by (n/6)/((-2)/(-3))?
8
Let q be (-1148)/(-12) + 6/(-9). Suppose 5*x = -20, 3*m - 86 = -2*x + q. Suppose h - 9 = 4*h, -4*w + h + 91 = 0. What is the remainder when m is divided by w?
19
Calculate the remainder when 118 is divided by (16/(-576)*42)/(2/(-12)).
6
Let r(n) = 7*n**2 + 284*n - 576. Calculate the remainder when 2519 is divided by r(2).
19
Let c = 274 - 262. Suppose 5 = l + r, -c*l = -13*l + 3*r + 1. What is the remainder when 191 is divided by l?
3
Let l(q) = q**3 + 24*q**2 + 70*q + 6. What is the remainder when 2060 is divided by l(-20)?
0
Suppose 2799 = -46*x + 37*x. Let w = -292 - x. What is the remainder when 32 is divided by w?
13
What is the remainder when 1292 is divided by 7*1/5 + 5402/370?
12
Let a(s) = -s**3 - 4*s**2 + 4*s + 1. Let k be a(2). Let t(q) = 2*q + 41. Calculate the remainder when t(k) is divided by 5.
1
Let k(v) = 2*v**3 + 38*v**2 - 2*v + 25. Let d be k(-19). Suppose -2*b - 20*t = -21*t - d, -4*b + t = -121. Calculate the remainder when b is divided by 8.
5
Let h be (-9 - (4 - -398))/(6/(-8)). Let z = h - 367. What is the remainder when z is divided by 14?
13
Let t(y) = y**3 + 33*y**2 + y + 39. Let n be t(-33). Suppose 2*r = n*r + 3*o - 37, -2*r + 22 = -2*o. What is the remainder when 37 is divided by r?
7
What is the remainder when ((128772/(-14))/21)/(3*(-4)/6) is divided by 76?
67
Let w = 6 + -6. Suppose h + 0*c + 4*c - 28 = w, 3*h + 3*c - 48 = 0. Let g(v) = -v**2 - 6*v + 1. Calculate the remainder when h is divided by g(-4).
3
Let j be 59/(-3) - (-23)/(-69). Let m(o) = -o**3 - 21*o**2 - 19*o + 29. What is the remainder when 269 is divided by m(j)?
8
Let h = 13321 + -13302. Calculate the remainder when (-2)/(-2*1/53) is divided by h.
15
Let j = -3661 - -3675. What is the remainder when 6199 is divided by j?
11
Let g be 1/(243/(-120) - -2). Let p(j) = 225*j - 2459. Calculate the remainder when p(11) is divided by 2/(-6) + g/(-12).
1
Suppose 3*m - 658 = -4*q, 12*m = -4*q + 3*m + 694. Calculate the remainder when q is divided by ((-204)/85)/((-4)/10).
4
Suppose 2*n - 54 = -25*n. Suppose -y + 375 = 3*b, 0*b + b = -n*y + 125. What is the remainder when b is divided by 42?
41
Let f(z) = 17*z**2 + 0 - 4 - 11*z - 3 - 13*z**2. What is the remainder when 42 is divided by f(4)?
3
Suppose 5*w - 100 = 3*a, 5*w = 4*a - 2*a + 105. Suppose -5*y = -5, 5*y = -w*o + 20*o + 179. What is the remainder when o is divided by 27?
4
Let r(s) = -s**3 - 69*s**2 - 648*s + 143. What is the remainder when r(-59) is divided by 42?
37
Suppose -10361 + 3388 - 25427 = -27*s. What is the remainder when s is divided by 25?
0
Let l(p) = 12*p**2 - 47*p - 3. Let k be l(4). Let x(r) = 270*r**2 - r. Calculate the remainder when x(k) is divided by 10.
9
Let s(l) = 15*l**2 + l + 14. Let m be s(-4). Suppose -49*h + 39*h = -m. Suppose -5*p + 188 + 292 = 0. Calculate the remainder when p is divided by h.
21
Let l be 209/((-3)/(-18)*