18
Suppose 5*c - 140 = -4*n + n, -5*c - 20 = -n. Calculate the remainder when 42 is divided by n.
2
Let y(w) = 13*w - 6. Let x be y(-6). Let o be x/18*(-6)/7. Suppose h - 4*c - 43 = c, -o*h + 172 = -5*c. What is the remainder when h is divided by 15?
13
Let p be ((-18)/6)/(2 - 3). Let x(b) = 9*b + p - b**2 + 2 - 7. Calculate the remainder when x(8) is divided by 6.
0
Let n be 2/(-8) + 6 + 15/(-20). Suppose -2*w + 4*w + 19 = n*f, 0 = 3*f - 5*w. Calculate the remainder when 32 is divided by f.
2
Let h(c) = -2*c + 27. Calculate the remainder when 233 is divided by h(7).
12
Suppose -4*q + 612 = -4*a, -159 = -6*q + 5*q - 5*a. Suppose -4*s = 3*s - q. Calculate the remainder when 65 is divided by s.
21
Let n = 265 + -184. Suppose 15 = 5*t, s - 4*s - 4*t = -n. What is the remainder when 158 is divided by s?
20
Suppose 0 = 4*k + n - 33 - 131, 0 = -5*k + 3*n + 222. Let q be (1*9)/(9/k). Let i = -27 + q. What is the remainder when 58 is divided by i?
13
Let a(i) = 3*i**2 - 3*i + 5*i + 3*i + 6. Let c(d) = 2*d**2 - 4*d - 4. Let t be c(2). What is the remainder when 99 is divided by a(t)?
31
Let s(u) = 4*u**3 - u - 11 - u**3 + 13*u**2 + 2*u**3 - 4*u**3. Let x be s(-13). Suppose -65 = -x*f - 15. What is the remainder when f is divided by 14?
11
Let h = 38 + 41. Let i(w) = -w**3 + 12*w**2 + w + 16. What is the remainder when h is divided by i(12)?
23
Suppose 2 + 0 = 5*g + 4*c, 2 = -c. Suppose 0 = 4*f - g*f + 5*l - 55, -5*f + l + 97 = 0. Suppose -h + 14 = h. What is the remainder when f is divided by h?
6
Let v(z) be the third derivative of 9*z**5/10 + z**4/24 + 17*z**2. What is the remainder when v(-1) is divided by 7?
4
Let q be (-2 - 1)/(6/4). Let m = 44 + q. What is the remainder when m is divided by -6 + (793/26 - (-20)/(-8))?
20
Let n(o) = o**3 - 2*o**2 + 6*o. Let m be n(4). What is the remainder when (-32)/m + (-641)/(-7) is divided by 23?
22
Suppose -4*j - 49 = -1. Calculate the remainder when 28/j + 2 - 534/(-9) is divided by 21.
17
What is the remainder when 181 is divided by (4 - (6 - 1))/(1/(-46))?
43
Suppose 5*w + 2*u - 5*u - 49 = 0, -40 = -4*w + 2*u. Suppose 0 = w*j - 12*j + 109. What is the remainder when j is divided by 28?
25
Suppose -979 - 579 = -19*y. Calculate the remainder when y is divided by 21.
19
Suppose 0 = 4*x - 100 + 20. What is the remainder when 99 is divided by x?
19
Suppose d - 73 = -3*f + 4*f, -3*f - 67 = -d. What is the remainder when d is divided by 42?
34
Suppose 0 = 53*d - 60*d + 1050. What is the remainder when d is divided by 38?
36
Suppose -4*n = -6*f + 3*f + 409, 0 = 3*n - 6. Calculate the remainder when f is divided by 31.
15
What is the remainder when 62 - (-3)/((-33)/(-22)) is divided by 19?
7
Suppose 12*y = -4*y - 112. Suppose 5*i + 4*b - 179 = 0, -4*i - b = -28 - 124. Let a = i + y. Calculate the remainder when 95 is divided by a.
31
Suppose 4*b + 5*m = 30, 3*m = b - 2*m + 5. Suppose -7*y + 20 = -2*y, 0 = -b*u - 2*y + 143. Calculate the remainder when 78 is divided by u.
24
Let w be 4/2 + -1 + 80. Suppose 168 = -4*i + 4*g, 0 = 5*i - g - 3*g + 212. Let j = w + i. Calculate the remainder when j is divided by 8.
5
Suppose -3 - 3 = -3*q. Suppose 0 = -x + q*x - 5*t - 117, 3*x = -2*t + 385. What is the remainder when x is divided by 16?
15
Let g(q) = 5*q - 200. What is the remainder when 71 is divided by g(44)?
11
Suppose -54 = -q - 4*p - 184, 5*p - 10 = 0. What is the remainder when (14/(-3))/(2*2/q) is divided by 41?
38
Let c = 26 - -12. Suppose -3*g + 15 = 2*g. Suppose -g*z = -0*z - 39. What is the remainder when c is divided by z?
12
Let x(f) = f**3 - 19*f**2 + 35*f - 1. Let p be x(17). What is the remainder when (17/20 - 18/(-45))*p is divided by 7?
6
Let l(q) = -2*q + 41. Let u = 20 + -11. Calculate the remainder when u is divided by l(20).
0
Suppose -585 = -65*j + 50*j. What is the remainder when 244 is divided by j?
10
Suppose 22 = -88*w + 89*w + 2*t, 2*t + 50 = 3*w. What is the remainder when 592 is divided by w?
16
Suppose 4*u - 46 = -2*d, 5*u = 6*d - 4*d + 35. Calculate the remainder when (-20 - -3)*(-3 - -2) is divided by u.
8
Suppose -p + 4*q = p, p - 5*q = -12. Suppose -p*s = -15*s + 28. What is the remainder when 6 is divided by s?
2
Let l(c) = -5*c + 41. Calculate the remainder when 66 is divided by l(2).
4
Let k(c) = c**2 + 55*c + 172. Calculate the remainder when 22 is divided by k(-52).
6
Let w = -626 - -689. What is the remainder when w is divided by 23?
17
Suppose 35566 = 62*m - 16266. Calculate the remainder when m is divided by 28.
24
Let l be -1*10 + 9 + -7. Let w be (-14)/(-8) + (-2)/l. Suppose -w*u - 2 = -36. What is the remainder when 67 is divided by u?
16
Suppose f - 29 - 57 = 0. Let l = -44 + f. What is the remainder when 164 is divided by l?
38
Let a = 95 - 95. Suppose 3*t - 30 - 45 = a. Calculate the remainder when t is divided by 7.
4
Let d(y) = 14*y**2 + 97*y + 2. Suppose 3*g - 6 = -4*m, 5*g - 3*g - 4 = -m. What is the remainder when d(-7) is divided by g?
1
Let s = -31 - -10. Let t = 6 - s. What is the remainder when t is divided by 7?
6
Calculate the remainder when (418/88)/(2/48) is divided by 61.
53
Suppose 0 = -c + 2*c + 16. Let w = 32 + c. What is the remainder when 28 is divided by w?
12
What is the remainder when 19 is divided by (38/(-1 + -1))/((-61)/61)?
0
Suppose 0 = -5*j + m + 4014, -29*j - m = -25*j - 3213. Calculate the remainder when j is divided by 26.
23
Let k be 1 - (-1)/(4 + -3). Calculate the remainder when 3 + 21 + -2 + 4 is divided by (2/k - 0) + 8.
8
Let d be (24/(-84) + (-1131)/(-14))*-4. Let c = -111 - d. Calculate the remainder when c is divided by 53.
52
Suppose 9*a + 79 = -65. What is the remainder when 100/5*(a/(-10) - 0) is divided by 18?
14
Suppose -3*r = 4*d - r - 306, 4*r - 138 = -2*d. Calculate the remainder when d is divided by 274/10 - 6/15.
25
Let i(c) = -c**3 + 7*c**2 - c + 10. Let v be i(7). Let r be 0 - (-13 + 3) - v. Suppose -r*p + 210 = -2*p. Calculate the remainder when p is divided by 22.
20
Suppose 7*a - 1100 = 265. What is the remainder when a is divided by 9?
6
Suppose -9*z = -14907 - 4371. What is the remainder when z is divided by 16?
14
Let o be (-32)/((-8)/2)*(-3)/(-2). Let l = o + -5. Calculate the remainder when 27 is divided by l.
6
Calculate the remainder when 1917/(-18)*8/(-12) is divided by 18.
17
Suppose 2*j - 6*j = -16. Let z(x) = -x + 7. Let m be z(7). Suppose m = -4*y + 4*n + 64, 5*y - j*n - 76 = 4. What is the remainder when y is divided by 6?
4
Suppose -820 = 26*j - 9972. What is the remainder when j is divided by 51?
46
Suppose 0 = b + 2*u - 40, b = -2*u + u + 43. What is the remainder when b is divided by 27?
19
Let n = 28 + -14. Suppose n*l = 12*l + 14. What is the remainder when 26 is divided by l?
5
Suppose 4*s - 3*u - 25 = 0, -4*u - 35 = -4*s - 7. Let b be 10/14 - (-4)/14. Suppose -f + b = -1. What is the remainder when s is divided by f?
0
Let j = 204 - 179. What is the remainder when 72 is divided by j?
22
Suppose -51 = 2*x - 5*x. Suppose -73 = -5*b + 52. Suppose -5*r = -350 + b. What is the remainder when r is divided by x?
14
Suppose -37 = -i + 42. Let s = -54 + 148. Let r = s - 67. Calculate the remainder when i is divided by r.
25
Let p(q) = -5*q - 70. Calculate the remainder when 477 is divided by p(-26).
57
Suppose 2*s = -6 + 14. Let b(o) = 3*o**2 - 9*o + 1. Let w be b(s). Suppose 3*g = 2*x, 5*g - w - 12 = -5*x. What is the remainder when g is divided by 1?
0
Suppose -4*m - i + 13 - 1 = 0, -m - 8 = 3*i. What is the remainder when 40 is divided by m?
0
Suppose -27 - 21 = b. Let y be b/(-26) + 2/13. Suppose -3*i - 41 = -2*v, -y*v + 2*i + 43 - 5 = 0. What is the remainder when 31 is divided by v?
15
Suppose -2*d - 3*n = -38, 4*d = -2*n + 97 - 13. Calculate the remainder when 328 is divided by d.
20
Let l(b) = 7*b**2 + 13*b + 34. Let k(h) = -11*h**2 - 19*h - 51. Let i(w) = 5*k(w) + 8*l(w). What is the remainder when i(-9) is divided by 8?
1
Calculate the remainder when 283 is divided by (6/(-30))/(1/(-55)).
8
Let f(t) = -t - 10. Let n be f(-13). Let q(w) = 4*w**2 - w + 4. Let k be q(n). Let g = k - 33. Calculate the remainder when 8 is divided by g.
0
Let i = 1187 + -432. What is the remainder when i is divided by 84?
83
Suppose -a + 121 = 4*t, 5*t - 4*a - 135 - 32 = 0. Suppose 0 = -22*k + t*k - 189. Calculate 