**2 - 6*x - 8. Let h be r(-4). Suppose 0 = 25*n + h - 332. What is the remainder when 45 - (1 + -1)/1 is divided by n?
9
Let d be (-68)/(-5) - 11*(-6)/(-110). Suppose d*z - 9*z - 276 = 0. Calculate the remainder when 206 is divided by z.
68
Let m be (-6)/(-4)*4/6*7. Let g = -19 + m. What is the remainder when 5 is divided by (-1)/(15/g + 1)?
1
Suppose -46*l + 25772 = 2*l - 36532. Calculate the remainder when l is divided by 50.
48
Suppose 73950 = 16*z + 18*z. Calculate the remainder when z is divided by 18.
15
Let o(p) = 8*p**2 + 5*p + 29. Calculate the remainder when 549 is divided by o(0).
27
Let w = 17408 + -6393. What is the remainder when w is divided by 153?
152
Let g(a) = 145*a - 20. Let o be g(3). Let l = o - 108. What is the remainder when l is divided by 31?
28
What is the remainder when 1 - ((0 - 0) + 111*(-125)/75) is divided by ((-8)/10)/(1/(-40))?
26
Suppose 76 = 12*l - 13*l. Suppose c = -21 - 28. Let n = c - l. Calculate the remainder when 51 is divided by n.
24
Let m(s) = 4 + 14 + s - 2*s + 2*s. Let z(u) = u**3 - u**2 - 8*u + 15. Calculate the remainder when z(4) is divided by m(0).
13
Suppose 602*x = 601*x + j + 311, 11*x - 3325 = -5*j. What is the remainder when x is divided by 19?
1
Suppose -31*z - 29*z + 440 = -280. What is the remainder when z is divided by 11?
1
Let j(m) = 165*m - 123. What is the remainder when 368 is divided by j(1)?
32
Let o = -21 + 29. Suppose -6*n + o*n = 8. What is the remainder when -2 + n + -4 + 84 is divided by 28?
26
Let c be (1 - -1368)*(17 + -16). Suppose 10*n = c - 29. What is the remainder when n is divided by 9?
8
Let u(j) = 242*j - 2704. What is the remainder when u(12) is divided by 65?
5
Let w be (-153)/(-306)*((1 - 1) + -2). Let y(r) = -317*r**3 + 3*r**2 - 1. Calculate the remainder when y(w) is divided by 107.
105
Let g(c) = c**3 + 35*c**2 + 33*c + 42. What is the remainder when g(-34) is divided by (5 - 1)/(1 - (-18)/(-22))?
10
Let b(z) = z**3 + 17*z**2 + 23*z - 19. Let x be b(-15). Suppose 0 = 4*p - 2*f - 60, 5*p - 2*f + 13 = x. What is the remainder when 64 is divided by p?
12
Suppose 0 = -u - 2*u + 81. Let a be 303/202*-3*19*(-2)/3. Suppose -x + s = -a, s - u = -x - 4*s. What is the remainder when x is divided by 21?
10
What is the remainder when 456/((-13)/(234/(-27))) is divided by 103?
98
What is the remainder when 4337 is divided by 31 + (66 - 97) + (-1 + 0)*-35?
32
Let w = 14 - -76. Let f be (-9)/((-18)/(-4)) + 1. What is the remainder when w is divided by 1/((f/(-39))/(1/3))?
12
Let g = 101 + -95. Let v be (-56)/84 - (-550)/g. Suppose -4*z - n = -v, -5*z + 88 = -z + 4*n. What is the remainder when 66 is divided by z?
20
Let y(b) be the first derivative of -443*b**2/2 - 40*b - 8. Calculate the remainder when y(-1) is divided by 27.
25
Suppose -28*i = 4*r - 31*i - 245, -4*r + 2*i + 246 = 0. What is the remainder when 5389 is divided by r?
57
What is the remainder when 7810 is divided by (1 + (-18)/9)*-2603?
1
Let k be 290/87 + (-2)/(-3). Calculate the remainder when 96 is divided by 5 + (-2 - -198)/k.
42
Suppose -5*b + 256 = 3*s - 186, 5*b - 3*s = 448. Suppose 12 = 4*f, f + b = -0*z + 4*z. Calculate the remainder when 172 is divided by z.
11
Let f = 445 - 262. Let o = -1170 - -1233. What is the remainder when f is divided by o?
57
Suppose -307 = -11*x + 122. Suppose 4*g - 48 = -2*d, 0 = -3*g - 3*d + x. Calculate the remainder when 19 is divided by g.
8
Let c(q) = -9*q**3 + 2*q**2 - 1. Suppose 25 = 4*w - 35. What is the remainder when c(-1) is divided by (-24)/20 + 63/w?
1
Let i(k) = -k**2 - 2*k - 14. Let b be i(0). Let o = 87 + -47. Calculate the remainder when (-28)/(-49) + (-1630)/b is divided by o.
37
Let z(o) = -2*o + 1. Let k(m) = -1. Let g(c) = -4*k(c) + 2*z(c). Let u(f) = f**3 + 9*f**2 - 4*f - 11. What is the remainder when u(-8) is divided by g(-4)?
19
Let m(o) = o**2 + 4*o + 7. Suppose 2*c - 92 - 4 = 0. Suppose -3*g - 5*x + 79 + 43 = 0, 2*g - 5*x = c. What is the remainder when g is divided by m(-5)?
10
Suppose 472*s - 217*s - 107355 = 0. What is the remainder when s is divided by 314?
107
Let i(t) be the first derivative of 1/2*t**2 - 2 + t - 1/3*t**3 - 37/2*t**4. Calculate the remainder when i(-1) is divided by 19.
16
Let s(u) = 6*u**2 - 45*u + 495. What is the remainder when s(8) is divided by 18?
15
Let x(n) = -5216*n - 2143. Calculate the remainder when x(-5) is divided by 19.
16
Let s(w) = -17*w**2 - 324*w + 18*w**2 - 65 + 328*w. Calculate the remainder when 54 is divided by s(8).
23
Let n(p) be the second derivative of p**5/20 + p**4 + 7*p**3/6 - 3*p**2 - 67*p. What is the remainder when n(-11) is divided by 22?
16
Let m(d) = -d**3 + 9*d**2 + 27*d + 17. What is the remainder when m(7) is divided by 61?
60
Let f = -111 - -178. Suppose 6 = -65*l + f*l. Suppose -56 = -4*d + 4*o, -5*d - l*o = -o - 35. What is the remainder when d is divided by 3?
0
Let b be (2 + 0)*-2 - -191. Let x = -63 + b. Suppose -19*o + 17*o = -x. What is the remainder when o is divided by 11?
7
Calculate the remainder when 401 is divided by (-190)/57*18/(-5).
5
Let f = 19821 + -18840. What is the remainder when f is divided by 29?
24
Let t(l) = -8*l - 1. Suppose -8*o = -3*o + 280. Let z = o + 52. What is the remainder when t(z) is divided by 4?
3
Let x(w) = -6*w + 94. Let p be x(8). Let f = p - -1. What is the remainder when 232 is divided by f?
44
Suppose 543*h - 32429 - 2866 = 0. What is the remainder when 291 is divided by h?
31
Let d = 2205 + -533. Calculate the remainder when d is divided by 18.
16
Suppose 0 = -9*u - 5*u + 238. Let n = -72 - -168. Let q = n - 29. Calculate the remainder when q is divided by u.
16
Let u = 30 + -5. What is the remainder when (-9)/((-18)/289) + 14/4 is divided by u*((-52)/(-10) + -4)?
28
Let o(u) = u**3 + 11*u**2 + 18*u + 20. Let t = -18 + 19. Calculate the remainder when (-10 + 9)/(t/(-79)) is divided by o(-9).
19
Suppose 4*g - 6*s = 194, 22*g + 31 = 23*g + 2*s. Calculate the remainder when 14467 is divided by g.
35
Suppose 4*f + 2 = 6. Suppose 0 = -2*c - 5*j + 18, c - 17*j = -22*j - f. Calculate the remainder when 69 is divided by c.
12
Let c = -50 - -51. Let z = -6 - -28. Calculate the remainder when 36 - c*(0 - 1) is divided by z.
15
Suppose 38*f = 41*f + 6. Suppose 0 = -5*s - 0*s + 370. Calculate the remainder when s is divided by (f/3)/(-7 + (-2779)/(-399)).
17
Suppose -5*z = 5, 2*x - 12 - 330 = -6*z. What is the remainder when x is divided by 14?
6
What is the remainder when ((-8)/((-40)/(-9)))/(((-168)/1015)/8) is divided by (1 + 3 - -2) + 0?
3
Calculate the remainder when 27 is divided by -8 + (75/30)/(5/28).
3
Suppose 0 = -7*j + 3*j + 16, -5*q + 5*j = 20. What is the remainder when 92 is divided by (q - 5)*1 + 154 + -129?
12
Let g(o) = -3*o - 3. Suppose 0 = 3*r + 2*i + 3*i - 221, 4*i + 239 = 3*r. Suppose 4*d - 1 = 3, 4*a = d - r. Calculate the remainder when g(a) is divided by 28.
26
Let c = -26 + 101. Suppose -4*o + 344 = 4*u, u - c - 17 = 2*o. Suppose q = u - 27. Calculate the remainder when q is divided by 31.
30
Suppose 70*t - 67*t + 2*q - 184 = 0, 3*t = 5*q + 149. Calculate the remainder when 242 is divided by t.
10
Suppose -128*u + 124*u = -1513 - 891. What is the remainder when u is divided by 123?
109
Let p be ((-12)/(-1))/3 - 0. Let r be (p/(-7))/(4/(-14)). Calculate the remainder when (-2)/(r/(-19)) + 0 is divided by 5.
4
Let o = -4 + 44. What is the remainder when 2380/(-24395)*12956/(-8) is divided by o?
38
Let n(v) = v**3 - 42*v**2 + 11*v - 446. Calculate the remainder when 497 is divided by n(42).
1
Let j be (-6 + 0/1)/((-141)/470). Suppose 8*b - 10*b + j = 0. Suppose 0 = y - 3*x - 28, 3*y + 2*x + 7 = 91. What is the remainder when y is divided by b?
8
Suppose 20*d + 5*d - 4466 = 11*d. What is the remainder when d is divided by 29?
0
Suppose -6 = -q + d, 0*d - 27 = -5*q + 4*d. Suppose -f + 29 + 97 = 4*w, 4*f = -q*w + 88. Let i = 97 - 37. What is the remainder when i is divided by w?
28
Let k(j) = 10*j + 8. Let f be 0 - (-229)/7 - (-12)/42. Let i = 41 - f. What is the remainder when k(i) is divided by 31?
26
What is the remainder when 254 is divided by 3738/(78 + -36) + (0 + -2 - 1)?
82
Let j(v) = 7*v**2 + 22*v + 256. What is the remainder when j(-7) is divided by 35?
25
Suppose -4*m - 188 = -x, -5*x - 3*m + 0*m + 940 = 0. What is