(-20)/(-3) - 3)/((-4)/w). What is the remainder when (-60 - -1)*(10 + c) is divided by 17?
8
Suppose 2*l - 249 = 3*w, -5*l + 288 + 337 = -5*w. Let b = 182 - l. Let u = -283 - -298. What is the remainder when b is divided by u?
11
Let j be (-92)/414 + ((-2722)/(-18) - 2). Let r = -138 + j. Calculate the remainder when (2 - 1)/((-1)/(-23)) is divided by r.
1
Let s(i) = 2*i**2 + 2*i + 5. Let n(w) = -w**2 - 20*w - 31. Let k be n(-15). Let c be (-1)/4 - 297/k. Calculate the remainder when s(c) is divided by 23.
20
Suppose -41*a + 36*a = -5*h + 1305, 797 = 3*h + 4*a. Suppose -27 - 13 = -c + 4*x, -3*c + 2*x + 130 = 0. What is the remainder when h is divided by c?
43
Let f = 3274 - 2814. What is the remainder when f is divided by 64?
12
Let l(p) = p**2 + 5*p - 24. Let a be l(-7). Calculate the remainder when 27/45 + (-164)/a is divided by 10.
7
Let n(k) = -k**3 + k**2 - 2. Let f = 18 - 18. Let y be n(f). Calculate the remainder when 372/10 + 1/(-3 + y) is divided by 15.
7
Let f(o) = 86*o - 519. What is the remainder when f(11) is divided by 101?
23
Let l = 619 + -609. Let u(d) = d**3 - 8*d**2 - 18*d + 26. Calculate the remainder when 211 is divided by u(l).
27
Suppose -u - t = -0*t + 1, -t - 1 = -2*u. Suppose 7*z - 3*h = 3*z + 629, u = -3*z - 2*h + 493. What is the remainder when z is divided by 4?
1
Let f(x) = x**2 - 14*x + 21. Let a be f(13). Let i(z) = 2*z**2 - 20*z + 34. Calculate the remainder when (-6)/(-2) + 4 + -1 is divided by i(a).
0
Suppose -372*g = -332*g - 280. Calculate the remainder when 3891 is divided by g.
6
Let x be (-803)/(-99) - (-1)/(-9). Suppose 21*j - 325 = 263. Calculate the remainder when j is divided by (x/(-4) - -4)*5.
8
Let s be (-3142)/14 + 12/(-21). Let c = -179 - s. What is the remainder when 100 is divided by c?
8
Suppose -3*z + 7869 - 2997 = 21*z. What is the remainder when 281 is divided by z?
78
Let q(c) = -2*c**3 - 3*c**2 + 6*c + 6. Let m(p) = p**2 + 9*p - 584. Calculate the remainder when q(-7) is divided by m(-30).
43
Suppose 5*w - 4*n + 1 - 2 = 0, n = 2*w - 1. Let q(i) = 48*i. Suppose 5*d = 168 - 43. What is the remainder when q(w) is divided by d?
23
Suppose 0 = -61*d + 59*d + 58. What is the remainder when ((-2)/((-8)/(-270)))/((-51)/68) is divided by d?
3
Suppose -13 = -5*s - 3. Let p = 44 + -42. Suppose 3*j = c + 17, -j + 4*c + 22 = -p. What is the remainder when j is divided by s?
0
Suppose n = -5*p + 16, -5*n - p - p = -34. Let s be -14*(-1)/(-1)*(-7 + n). What is the remainder when 18 is divided by (-9)/(-63) - (-96)/s?
4
Suppose -3*z + 3 = -h, 6*h - 5*h = -2*z + 7. Suppose 3*g + 84 = h*f, f - 24 = 3*g - 4*g. Calculate the remainder when f is divided by 14.
12
Suppose 4*m + 253 = 5*q, 0 = -q + 3*m - 2356 + 2411. What is the remainder when 1262 is divided by q?
37
Let k(x) be the second derivative of x**3/2 + x**2 + 6*x. Let h be k(3). Suppose -4 = 4*n - 16, 0 = -y + n + h. What is the remainder when 64 is divided by y?
8
Suppose 10*p = p + 855. Suppose 106*t - 2453 = p*t. Calculate the remainder when t is divided by 76.
71
Suppose 0 = 4*w - 2*p + 9 - 39, 4*w - 4*p - 28 = 0. Let i(v) = -v**3 + 7*v**2 - v. Calculate the remainder when i(6) is divided by w.
6
Let f = -6417 + 7456. Calculate the remainder when f is divided by 340.
19
Let d = -2942 - -3085. Calculate the remainder when d is divided by 105.
38
Let h(f) = -493*f - 4730. Calculate the remainder when h(-10) is divided by 4.
0
Let h = -24 + 48. Let j be 82 + (-3)/4 + (-6)/h. Let m = j + -48. Calculate the remainder when 96 is divided by m.
30
Let s(n) = -n**3 - 34*n**2 - 54*n + 587. What is the remainder when 781 is divided by s(-32)?
247
Let p = -17 + 17. Suppose p*t + 525 = 7*t. Suppose -14*l + 19*l = t. Calculate the remainder when 56 is divided by l.
11
Let w = -198 - -160. Let f = -24 - w. Calculate the remainder when 38 is divided by f.
10
Suppose -3*x + 16 = 2*s - 5*x, 5*x = 3*s - 24. Suppose s*n = 127 + 17. What is the remainder when 107 is divided by n?
17
Suppose 14*v - 13*v = -5*p + 95, 3*v + p - 285 = 0. Suppose -52 = y - v. Calculate the remainder when 687 is divided by y.
42
Suppose 49*y + 74*y = 13*y + 10450. What is the remainder when 2088 is divided by y?
93
Let z(p) = 3*p + 10. Let f(q) = q**2 - 4*q + 6. Let b be f(0). Calculate the remainder when z(b) is divided by 10.
8
Let c(i) = i**3 + 5*i**2 - 2*i - 2. Calculate the remainder when ((-2)/(-21))/((-14)/(-48153)) + (-40)/70 is divided by c(-4).
19
Suppose -144*a + 84825 = -7911. What is the remainder when a is divided by 67?
41
Suppose 10*k - 130 = 2*k + 198. Calculate the remainder when 70 is divided by k.
29
Let i = 1636 + -276. What is the remainder when i is divided by 105?
100
Let r = 36494 - 36432. Calculate the remainder when 10598 is divided by r.
58
Suppose 4*q - 8*q + 76 = 0. Let f be -1 - (-1 + (4 - 6)). Suppose -f*c = -c - 11. Calculate the remainder when q is divided by c.
8
Suppose 4*s - 2*h = -790, -2*s = 2*h - 0*h + 380. Let o = 800 + s. What is the remainder when o is divided by 19?
16
Let f(q) be the third derivative of q**5/5 + q**4/3 - q**3 - 37*q**2. Calculate the remainder when f(-3) is divided by 9.
6
Suppose 3*h = 5*j - 407, -2*h - 2*h - 324 = -4*j. What is the remainder when j is divided by 29*(1 - (-8 + 8))?
24
Suppose 0 = 578*b - 590*b + 8568. Calculate the remainder when b is divided by 65.
64
Let h(o) = -54*o + 612. What is the remainder when 2326 is divided by h(11)?
4
Let j(x) = 198*x**2 + 800*x - 6335. What is the remainder when j(8) is divided by 70?
67
Let i = -2160 - -2181. Calculate the remainder when 628 is divided by i.
19
Suppose -4*y + 2 = 3*d, -4*y + 16 = 2*d - 5*y. Let v(l) = 2*l**2 - 14*l + 42. Suppose 0*j + 11 = j. Calculate the remainder when v(d) is divided by j.
8
Let c = 0 - -19. Suppose 5*p - 18 = 2. Suppose 3*x = 2*t + 5, 2*x - 11 = -p*t + 19. Calculate the remainder when c is divided by x.
4
Let r = 7303 + -7269. Calculate the remainder when 880 is divided by r.
30
Suppose -15*i + 3495 = -14190. What is the remainder when i is divided by 32?
27
Let d(k) = -k**3 - 11*k**2 - 16*k + 8. Let p be d(-7). Suppose 60 = -28*r + 27*r. Let w = r - p. Calculate the remainder when 46 is divided by w.
14
Let m = -5305 - -5341. Calculate the remainder when 367 is divided by m.
7
Suppose -4*u = -20, -5*u - 2381 = 151*q - 154*q. Calculate the remainder when q is divided by 45.
37
Let t be (-7)/5 + -3 + 306/90. Let n(o) = 36*o + 5. Let u(a) = 72*a + 9. Let c(h) = 9*n(h) - 5*u(h). Calculate the remainder when c(t) is divided by 19.
17
Let h(g) = 2*g**3 - 8*g**2 + 91*g + 14. What is the remainder when h(9) is divided by 55?
48
Let j(h) = -h**2 - 13*h + 10. Suppose -17*n = 11229 - 13966. What is the remainder when n is divided by j(-12)?
7
Suppose 6211 = 20*z + 801 - 6150. What is the remainder when z is divided by 234?
110
Let d = -353 - -372. Let c(y) = -y + 126. What is the remainder when c(36) is divided by d?
14
Suppose 353 - 77 = 4*p. Let a be -4 + (2 + p - -1). Suppose 3*w - w = a. Calculate the remainder when w is divided by 9.
7
Suppose -w = 2*d + 23 - 129, d - 3*w = 53. Suppose -334*k + 6 = -338*k + 3*f, -58 = -3*k - 4*f. What is the remainder when d is divided by k?
5
Suppose 2*j - 9 - 1 = 0, 5*j - 197 = -k. Calculate the remainder when k + 3*(-2)/(-6) is divided by 30.
23
Suppose 0 = -25*h + 24*h + 32*h - 1457. What is the remainder when 127 is divided by h?
33
Let y be (-1)/(-1 + (-30)/(-28)). Let s = -3 - y. Suppose -15 = r, 0 = -4*o - 95*r + 96*r + 89 + 10. What is the remainder when o is divided by s?
10
Suppose 0*o - 4*x - 864 = -o, 0 = -5*o + 2*x + 4230. What is the remainder when o is divided by 280?
4
What is the remainder when ((-99)/(-5)*-1)/((-669)/330 + 2) is divided by 144?
6
Let y(h) = h + 46. Let b be y(-43). Calculate the remainder when (-148 + 0)*(-9 + b)/12 is divided by 16.
10
Suppose -g = 2*g - s - 4, -4*g = s + 4. Suppose g*v + 2*v = 206. What is the remainder when v is divided by 56?
47
Let w(g) be the first derivative of 6*g - 29 + 7*g**2 + 1/4*g**4 - 14/3*g**3. Calculate the remainder when 37 is divided by w(13).
18
Suppose 17*r = -12 + 46. Suppose -r*c = -2*i - 232, 3*c = 7*c - i - 473. What is the remainder when c is divided by 8?
7
Let t(a) = a + 14. Calculate the remainder when 524 - (-3 - -2 - 0)/1 is di