
Let y be -61 - 3/(6/(-4)). Let l = y + 84. Suppose 7*u = 6*u + 9. What is the remainder when l is divided by u?
7
Let j = -694 - -1274. Suppose m = 4*y - j, -3*y - 2*m + 446 = -0*y. Calculate the remainder when y is divided by 37.
35
Suppose -1449 = -11*m - 327. Let s = m - 58. What is the remainder when s is divided by 18?
8
Let p(l) = -6*l**2 - l + 4. Let t be p(-2). Let s = t + 25. What is the remainder when 26 is divided by s?
5
Let j = 0 - -1. Let h = 41 - j. Suppose 13*t + h = 17*t. What is the remainder when 17 is divided by t?
7
Calculate the remainder when 4/((-6)/734*4/(-6)) is divided by 11.
8
Let v be (-6)/(-9) + (-640)/15 + -2. Let q = -2 - -5. Calculate the remainder when 30 is divided by q/((-12)/v) + 0.
8
Let x(z) = -z**3 - 7*z**2 - 8*z - 10. Let o be x(-6). Suppose 2*g + o*g = 216. Calculate the remainder when g is divided by 19.
16
What is the remainder when -5*((-8)/60 + 156/(-18)) is divided by 24?
20
Let j(u) be the second derivative of 5*u**3 - u**2 - 23*u. Suppose 8 = 4*v, 2*n + 5*v - 7 = 5. What is the remainder when 111 is divided by j(n)?
27
Suppose -34*q = -35*q - 2*t, -2*q = 2*t - 8. What is the remainder when 13 is divided by q?
5
Suppose 0 = -4*b + p + 2069, 9*p - 7*p - 524 = -b. Calculate the remainder when b is divided by 8.
6
Let w(c) = c**2 + 5*c - 12. Let f = -8 + 1. What is the remainder when 3 is divided by w(f)?
1
Let q = 191 + -113. Suppose -5*v = 4*o - 89, 3*v = -5*o + 44 - 1. What is the remainder when q is divided by v?
15
Let h(k) = 3*k + 72. What is the remainder when 250 is divided by h(-17)?
19
Suppose 0 = 4*g + 4*x - 360, 5*g + x + x - 444 = 0. Suppose -g = -3*m - 7. Calculate the remainder when 53 is divided by m.
26
Suppose -2*j - 4*z = -72, -63 = -3*j - 2*z + 61. What is the remainder when 351 is divided by j?
43
Let p(f) = f**3 - 6 - 2*f**2 + 4*f**2 - f - 2*f**3. Let l(x) = x**2 + x - 16. Let z be l(-4). What is the remainder when p(z) is divided by 32?
30
Suppose 29*x - 530 = -5*f + 24*x, 318 = 3*f - x. Calculate the remainder when f is divided by 28.
22
Suppose a - 3*x - 40 = -0*x, 0 = -4*x + 16. What is the remainder when a is divided by (-169)/(-6) + (-4)/24?
24
Let t(u) = u**3 - 12*u**2 - 1. Let k be t(12). Let w be (-3 - -1) + k - -6. Suppose -2*v - w*v = -70. What is the remainder when v is divided by 4?
2
Suppose -12*o - 25 = -17*o. Suppose -3*g = -o*i - 79, g + 5*i + 13 - 6 = 0. What is the remainder when (2/(-1))/(-2) + 88 is divided by g?
17
Suppose 15 = 3*v - 6. Suppose v*l + 11 = 8*l. Calculate the remainder when 42 is divided by l.
9
Suppose 0 = -43*n + 38*n + 35. Suppose h + 5*i - 17 = 0, 4*h + 2*i = 3*i - 16. What is the remainder when (0 - 42/h) + -2 is divided by n?
5
Let y(r) = -r + 50. What is the remainder when y(0) is divided by (135/25)/((-324)/(-45) - 7)?
23
Let c(g) = -g - 5*g**2 - 8*g + 9 - 2*g**2 + 0*g**3 + g**3. Let a be c(8). What is the remainder when 42 is divided by -3*a*33/(-9)?
9
Suppose -59*i + 613 + 862 = 0. What is the remainder when i is divided by 13?
12
Let d(c) = 2*c**3 - 8*c**2 - 6*c + 9. Let y be d(7). Suppose -3*p + y = -3*l, 3*l - 5*l - 6 = 0. What is the remainder when p is divided by 29?
26
Suppose y + 26 = -y. Suppose -1 = -4*t - 2*i - 49, -3*t - 34 = 2*i. Let b = y - t. Calculate the remainder when b is divided by 1.
0
Let y = 67 - 67. Let v = 91 + -61. Calculate the remainder when v is divided by 1*((-2)/(-2) + 10 + y).
8
Suppose -113 = 4*k + 319. Let g(h) = 72*h - 358. Let z be g(5). What is the remainder when (z + -3)/(9/k) is divided by 7?
5
Let p = 25 - 15. Let a(q) = -q**2 + 11*q - 3. Let j be a(p). Suppose -k + 7 + j = 0. What is the remainder when k is divided by 3?
2
Calculate the remainder when 30 is divided by ((-1304)/(-120))/1 - (-4)/30.
8
Let x(g) = -g**3 - 7 + 10*g**2 + 3 + 1 - g - 3*g**2. Let p be x(3). Suppose r = 3*r - p. What is the remainder when 42 is divided by r?
12
What is the remainder when 203 is divided by (-23)/(4 - ((-3 - -10) + -2))?
19
Suppose -4885 + 4009 = -4*i. Calculate the remainder when 231 is divided by i.
12
Suppose -5*j + 38 = -4*l, -l + 15 = 4*l. What is the remainder when j is divided by 4?
2
Let z = 7 + 9. Let t = z - 15. What is the remainder when 36 - (8/t)/4 is divided by 12?
10
Suppose -6*c + 329 = -295. What is the remainder when c is divided by 15?
14
Let i(h) = -3 - 1 + 7*h**2 + 56*h + h**3 - 51*h. Let v be i(-6). Suppose 3*m = v*l - 15 + 53, m - 4*l - 6 = 0. What is the remainder when 50 is divided by m?
8
Let u be 32/1 + -1*2. Suppose -5*c - 10 = -u, 3*c - 34 = -2*p. Calculate the remainder when (7/(-7))/((-2)/86) is divided by p.
10
Let v(r) = -13*r - 9. Let p be v(1). Suppose -4*k = -2*h + 37 + 11, 0 = -3*h + k + 92. Let y = p + h. Calculate the remainder when 19 is divided by y.
9
Let j(u) = u**2 + 4*u - 3. Let y be j(-6). Let d = y + -5. Suppose 0 = -g + 6 + d. What is the remainder when g is divided by 4?
2
Let n(a) = a**3 - 2*a**2 + a. Let f be n(1). Suppose f = 5*q - 1 - 29. Suppose -349 + 1204 = 95*d. Calculate the remainder when d is divided by q.
3
Let f be 1 + 6/((-6)/(-2)). Let a = 8 - f. Let k(z) = -z**2 - 7*z + 6. What is the remainder when k(-3) is divided by a?
3
What is the remainder when 34 is divided by 14/4*(-3 + 5)?
6
Suppose 3*o = 3*g - o - 35, g + o - 14 = 0. Calculate the remainder when (-718)/(-14) + 2/(-7) is divided by 232/g + (-8)/(-52).
15
Suppose 5*t - 14 = 6. Let w = 791 - 789. Suppose 3*s - 64 = w*p - 209, -20 = t*s. Calculate the remainder when p is divided by 22.
21
Suppose 271 = -4*v + 2*z + 731, 0 = -4*v - 4*z + 460. Let o = -81 + v. What is the remainder when o is divided by 9?
7
Let t = 108 - 152. Let x = t - -93. Suppose 0 = -4*u - p + x, u = -3*p + 11 + 15. What is the remainder when 18 is divided by u?
7
Let a(s) = -s**2 - 5*s - 6. Let f be a(-6). Let m be f/(-9)*15/(-10). What is the remainder when 36 is divided by m/(-6) - (-418)/33?
10
What is the remainder when 522899/754 + 1*2/(-4) is divided by 24?
21
Suppose -5*i - 2*t - 15 = -3, -4*i + t - 20 = 0. Let g(f) be the first derivative of -5*f**2/2 + 12*f + 165. Calculate the remainder when 63 is divided by g(i).
31
Suppose 2*k + 2*n - 78 = 0, -n = -3*k - 0*n + 129. Let r = -162 + 231. Suppose 0 = f - 4*f + r. Calculate the remainder when k is divided by f.
19
Let h(n) = -4*n**3 - 3*n - 2. Let a be (4/(-8))/(1/2). Calculate the remainder when 14 is divided by h(a).
4
Let c(k) = -k - 5. Let j be c(-5). Suppose j = 2*s - 6*s + 260. Let w = 46 - 12. Calculate the remainder when s is divided by w.
31
Let c(o) = 2*o**2 - 3*o + 1. Let d be c(5). Suppose 0 = -4*a - 2*r - r + d, 3*r = 0. Suppose a = 5*t - 56. Calculate the remainder when 24 is divided by t.
11
Let x(g) = g**3 + 6*g**2 + g - 2. Let b be x(-6). Let o(d) = -d**3 - 6*d**2 + 8*d - 6. What is the remainder when o(b) is divided by 15?
13
Let l(f) be the first derivative of 16*f**3/3 - f**2/2 + 3*f - 36. What is the remainder when l(1) is divided by 3?
0
What is the remainder when 79 is divided by 9/(-18)*(-3 - (-9)/(-1))?
1
Let p(u) = -u**2 - u + 48. Suppose 3*n - 5 = 2*n - c, 0 = 4*n - 3*c + 15. Let w be p(n). Suppose w = t + 2*t. What is the remainder when 29 is divided by t?
13
Suppose -4*x - 3*h = 0, -6*x = -2*x - 2*h - 20. Suppose -k + 6*k - 176 = -x*f, 0 = f + k - 60. Let i = 12 - -9. What is the remainder when f is divided by i?
20
Let v = -67 + 96. Let z = 23 + -13. Let l = -2 + z. Calculate the remainder when v is divided by l.
5
Let f(p) = -p**3 + 5*p**2 + 8*p - 9. Let g = 10 - 4. Let v be f(g). Suppose 0 = v*a + 2*a + 5, 27 = 5*l - 2*a. What is the remainder when 7 is divided by l?
2
Let w(f) = 27*f + 116. What is the remainder when w(-3) is divided by 34?
1
What is the remainder when 69 is divided by ((-21)/(-4))/((11 + -16)/(-20))?
6
Suppose 36 = 3*y + 2*r, 6 - 15 = 3*r. Let s = y + -8. Suppose 0 - 9 = -11*g + 13. What is the remainder when s is divided by g?
0
Let u(n) = 7*n + 48. Let g(y) = y**2 + 3*y. Suppose 5 = -4*r - 15. Calculate the remainder when g(r) is divided by u(-6).
4
Let l = -79 + 71. Let q(r) = r**3 + 8*r**2 - 6*r - 12. What is the remainder when 142 is divided by q(l)?
34
Let b(j) = 38*j**2 + 5*j + 19. What is the remainder when 340 is divided by b(-2)?
18
Suppose 2*h - 5*h + 3*s = 0, 1 = -2*h + 3*s. Suppose h = 3