o) = -o - 7. Let p be (-10)/(-3)*(-90)/25. What is the remainder when 19 is divided by t(p)?
4
Suppose 4532 = 67*w + 36*w. Calculate the remainder when 967 is divided by w.
43
Let x(u) = -u**2 - 9*u + 13. Let k be x(-10). Suppose k*s - 27 = -3*z + 75, -s = -2*z + 83. Calculate the remainder when z is divided by 14.
11
Suppose 0 = 4*c + 13 + 3. Let d = -1 - c. Calculate the remainder when 0 - d*(-20)/6 is divided by 6.
4
Suppose -1054 = -4*t - 78. Calculate the remainder when t is divided by 35.
34
What is the remainder when (-1)/(-11) + 0 + 1360/44 is divided by 16?
15
Suppose -66*l + 34869 = -7*l. What is the remainder when l is divided by 54?
51
Let h be 0/((-3)/(-1) + 0). Suppose 5*m + t = -0*m + 50, h = -4*m + t + 40. What is the remainder when 46 is divided by m?
6
Let l(k) be the second derivative of -k**4/12 + k**3/6 + 17*k**2/2 + 10*k. Let v be l(0). Let b = v + -10. What is the remainder when b is divided by 6?
1
Let y(l) = 206*l + 227. Suppose f = 2*f - 102. Calculate the remainder when f is divided by y(-1).
18
Suppose g = -4*g + w + 22, 4*g - w - 17 = 0. Suppose -b + g*v = -10, b = 3*v + 9 + 3. Calculate the remainder when b is divided by 9.
6
Let t = -65 + 47. What is the remainder when t/12*(242/(-6) + -1) is divided by 22?
18
Suppose 3*d + 329 = 4*x, 0 = 7*x - 12*x - 3*d + 445. Calculate the remainder when x is divided by 73.
13
Suppose 156 = 15*j - 2*j. What is the remainder when (1/(-1))/(2/(-86)) is divided by j?
7
Let s = -1225 + 1287. What is the remainder when 235 is divided by s?
49
Suppose -2*h = -3*i - 5*h + 3, -h + 3 = 0. Let a(d) = -d**3 - 21*d**2 - 4*d - 24. Calculate the remainder when a(-21) is divided by (44 + i)*1/2.
18
Let o(k) = 4*k - 279. Suppose l = 6 + 6. Suppose 57 = 4*c + 5*n - l, 3*c - 43 = 5*n. Calculate the remainder when c is divided by o(72).
7
Let a be 36/30*(0 - -5). Calculate the remainder when (-109)/(-4) + a/(-24) is divided by 10.
7
Suppose 3*a + 5 = -37. Let w(b) = -b**2 + 26*b - 41. Calculate the remainder when w(24) is divided by (-24)/a + (-2)/(-7).
1
Suppose -4*k = -1 - 131. Let b = 4181 - 4119. Calculate the remainder when b is divided by k.
29
Suppose 0 = 5*m - 3*m + 248. Let x be 3/5 - m/10. Let d = -1 + x. What is the remainder when 23 is divided by d?
11
Suppose 16 = -g + 212. Calculate the remainder when g is divided by 66.
64
Let i = 190 - 164. Calculate the remainder when 153 is divided by i.
23
Suppose -k = -4*h + 17, -k + 41 = -3*k + h. Let n = k - -31. Calculate the remainder when 68 is divided by n.
8
Suppose -7 = 2*k - 13. Suppose 4*o - 40 = -2*b, k*o = 3*b + b + 41. Let g = o - 8. What is the remainder when 8 is divided by g?
2
Suppose -8*s = -140 + 52. What is the remainder when 106 is divided by s?
7
Let f(h) = 7*h**2 + 16*h + 6. Let x be f(-6). Suppose -21*y + x = -12*y. What is the remainder when 35 is divided by y?
17
Let k = 7 + -5. Suppose -z + 54 = k*z. What is the remainder when 53 is divided by z?
17
Suppose -17 = -2*u + 3*n, 2*u - 3*n = -3*u + 29. Suppose 6 + 6 = -u*d. Calculate the remainder when d - 4/(12/(-123)) is divided by 13.
12
Let r = 67 - 48. Suppose 0 = t - 33 - r. Suppose 0*d + t = 2*d. What is the remainder when 103 is divided by d?
25
Calculate the remainder when 1403 is divided by (16/6)/((-20)/(-225)) - -8.
35
Suppose j + 5*n = 14 + 6, n = -4*j + 156. Suppose t + j = 4*x - t, 0 = -5*x - t + 43. What is the remainder when 9 is divided by x + -1 + (-21)/7?
4
What is the remainder when 244 is divided by 1/((-3)/(-23)) - (-4)/(-6)?
6
Suppose 16*p - 17*p + 10 = 0. What is the remainder when 112/p*(-160)/(-64) is divided by 15?
13
Let a(p) = 8*p**2 + 4*p - 5. What is the remainder when a(-3) is divided by 6?
1
Let c = 50 - 33. Let l = 33 - c. What is the remainder when (-2 - -3)*(44 + 1) is divided by l?
13
Let v(b) = b**2 + 10*b + 1. Let r be v(-9). What is the remainder when (-1)/((r/(-12))/(-2)) is divided by 3?
0
Let t = -2793 + 2852. Let b(i) = -i**2 + 9*i - 6. Calculate the remainder when t is divided by b(6).
11
Let i = 10 + -7. Suppose 0 = -5*p + 4*n + 57, -3*p = -6*n + i*n - 33. Calculate the remainder when 19/(((-55)/(-10))/11) is divided by p.
12
Suppose -4*v = 4*a - 48, 3*a + 5*v = 17 + 19. Let d = 113 + -56. Calculate the remainder when d is divided by a.
9
Suppose 0*n = 16*n - 224. What is the remainder when 107 is divided by n?
9
Let m be -2 - -1 - 0 - -43. Suppose w = 4*w - m. What is the remainder when 60*((-96)/216)/(4/(-6)) is divided by w?
12
Suppose a - 346 = -2*m + 3*a, -m = -4*a - 173. Suppose 3*y - j = m, -107 = -5*y + 4*j + 193. Calculate the remainder when y is divided by 10.
6
Calculate the remainder when 82 - (-5 + (6 - 6)) is divided by 13.
9
Suppose q = -5*c + 92, -3*c + 4*q + 28 = -c. Suppose 2*f - c = 12. Suppose 3*s + f = 4*s. What is the remainder when 43 is divided by s?
13
Suppose r = 1 + 100. Let v = 3566 - 3540. Calculate the remainder when r is divided by v.
23
Let f(z) = z**2 - 22*z + 12. What is the remainder when 81 is divided by f(22)?
9
Let r(q) = -6*q**2 + 4 - 31*q**3 + 29*q**3 - 5*q + 3*q + 2. Calculate the remainder when r(-5) is divided by 30.
26
Let v(j) = -29*j**3 - j**2 - 3*j + 3. Let o(q) = -29*q**3 - 2*q + 2. Let z(s) = 4*o(s) - 3*v(s). What is the remainder when 88 is divided by z(-1)?
28
Suppose 0 = 5*j - 7*j + 80. Let h(v) = -25*v + 7. Calculate the remainder when h(-6) is divided by j.
37
Suppose -c - 2*r = 2, -6*c = -c + 2*r - 14. Calculate the remainder when (-12)/(((-8)/(-6))/(-2)) is divided by 2/c*(-20)/(-1).
8
Suppose c + 2*x - 4 = 7*x, -4*x = c - 49. Calculate the remainder when 125 is divided by c.
9
Let c = 38 - -122. What is the remainder when c is divided by 54?
52
Let i = 18 + -33. Let m = -19 - i. Let h(s) = -3*s - 1. Calculate the remainder when h(m) is divided by 3.
2
Suppose -g + 3*m + 27 = 2*g, -2*g + 38 = 3*m. Suppose -8*f = -g*f + 10. Calculate the remainder when (8/(-4) - -76)/f is divided by 13.
11
Calculate the remainder when (-6)/14 - (-23408)/196 is divided by 54.
11
Suppose 4*q - 8 - 4 = 0. Calculate the remainder when 32 is divided by (11/(-2))/(q/(-6)).
10
Suppose 155 = 2*k + n, -4*n - 7 = 5. Calculate the remainder when k is divided by 30.
19
Suppose 0*k = -5*k + 3*z - 57, 0 = -2*z + 8. Let c = -2 - k. Let w(o) = 2*o**2 + 2*o - 1. Calculate the remainder when w(-3) is divided by c.
4
Let v be 6 + (2 - (3 - -1)). Suppose -2*x + v = -16. Suppose -4*r + 36 = 4*h, 0 = -r + 3*h + 2*h - 9. What is the remainder when x is divided by r?
4
Suppose -3033 - 1017 = -30*g. Calculate the remainder when g is divided by 30.
15
Suppose 465 = 21*v - 102. Calculate the remainder when v is divided by 24.
3
Let c(k) = -34*k - 28. What is the remainder when c(-4) is divided by ((-66)/(-15))/((-1)/(-5))?
20
Suppose 0*t - 4*t + 8 = 0, 5*t - 20 = 2*m. What is the remainder when (4 - 441/15)*m is divided by 26?
23
Suppose 77 = 5*j - 2*s, -2*j + s + 21 = -9. Suppose 5*q = 4*q + j. What is the remainder when 31 is divided by q?
14
Suppose -v - 4 = -3, -47 = -a - 3*v. Calculate the remainder when a is divided by 28.
22
Suppose -467 = -3*z - 2*z + 2*i, -z + 98 = -5*i. Let l = 58 - z. Let f = -23 - l. What is the remainder when f is divided by 8?
4
Let n = 860 + -810. Calculate the remainder when n is divided by 32.
18
Let j(q) = q**2 + 328. Calculate the remainder when j(0) is divided by 83.
79
Suppose 398*a - 399*a = -215. Calculate the remainder when a is divided by 9.
8
Suppose 4*u - 58 - 70 = 0. Suppose -d = 3*d - u. Suppose 23*t = 152*t - 2967. What is the remainder when t is divided by d?
7
Suppose -5*d - 377 = -18*d. What is the remainder when 67 is divided by d?
9
Suppose 3*l - 453 = -135. Calculate the remainder when l is divided by 34.
4
Suppose -2*l - 28 = -2*o, 2*o - 31 = -5*l - 17. Calculate the remainder when 623 is divided by o.
11
Let y = -10 - -3. Let t = y + 58. What is the remainder when t is divided by 18?
15
Let z(n) be the third derivative of n**5/6 - n**4/8 - n**3/3 - 6*n**2 - n. Let c be 1 - -2*1/(-1). Calculate the remainder when 21 is divided by z(c).
10
Let c(y) = 14*y + 109. Suppose -w + 5*r = -4*w + 229, -2*w - 5*r = -156. What is the remainder when w is divided by c(-6)?
23
Suppose 0 = -5*z + 3*p + 7, z + 3 = 5*p - 0. What is the remainder when 8/(1/z*(-4)/(-8)) is di