4.
5
Suppose -3*u + 4*j + 91 = 3*j, 0 = 5*u - 3*j - 145. Suppose -73 = -0*n - 4*n + y, 3*y + u = n. What is the remainder when n is divided by 11?
6
Calculate the remainder when 184 is divided by (-37 - -11)*-1 + 5.
29
Suppose 25 = 12*m - 575. Calculate the remainder when 179 is divided by m.
29
Let p = 9 + 31. Let t(a) = 7*a**2 + 12*a + 13. Calculate the remainder when t(-4) is divided by p.
37
Let a be ((-7)/(-7) - -3)/((-2)/80). What is the remainder when a/30*(-3)/4 is divided by 1?
0
Suppose -8*r + 9 = -7*r + 3*s, 0 = -3*r - 3*s + 39. Calculate the remainder when 174 - 2/((-6)/9) is divided by r.
12
Suppose 5*c = -4*f + 69, 2*c = -4*f - 1 + 31. What is the remainder when 41 is divided by c?
2
Let m(j) = -4 + 66*j + j**3 + 1 + 0 + 13*j**2 - 71*j. What is the remainder when m(-13) is divided by 13?
10
Let m = -63 + 75. Let o be 2/(-10) + 2/10. Suppose o = -c - c + 10. Calculate the remainder when m is divided by c.
2
Let g = 72 - 28. Suppose x - 2 = -13. What is the remainder when 360/g + 2/x is divided by 5?
3
Let a = -500 + 514. Let m = -52 + 104. What is the remainder when m is divided by a?
10
Let k = 21 - 31. Let j = 21 + -34. Let l = k - j. What is the remainder when 4 is divided by l?
1
Suppose -8*z - 180 + 1076 = 0. Let w = z + -102. What is the remainder when 19 is divided by w?
9
Suppose -4*y = -w + 12, 0 = -3*w + 2*y + 13 + 13. Let g(m) = m**2 - 13*m + 1. What is the remainder when g(14) is divided by w?
7
Suppose -3*t = t - 3*v - 11, 2*t - 2*v - 8 = 0. Calculate the remainder when 15/(-2)*t/((-15)/(-110)) is divided by 20.
15
Let c(m) = m**3 - 9*m**2 + 5*m + 2. Let z be c(9). Let g = -81 + z. Let f = 62 + g. What is the remainder when 82 is divided by f?
26
Let c(f) = f**3 + 11*f**2 + 11*f + 22. Calculate the remainder when 43 is divided by c(-10).
7
Let f(c) = 6*c**2 - 2*c + 38. Calculate the remainder when f(7) is divided by 5.
3
Let p be 74/(-10) + (-2)/(-5). Let a = 95 - p. Calculate the remainder when a is divided by 26.
24
Let t(d) = 5 - 3 + 7 + 5*d + 3*d + d**2. Let w be t(-7). What is the remainder when 89 is divided by w/(-6) - (-91)/3?
29
Let u = -1704 - -1735. What is the remainder when 86 is divided by u?
24
Let n be (9/(-4))/(9/(-288)). What is the remainder when (n - 7)*(-9)/(-15) is divided by 8?
7
Let f = 6 - 6. Suppose 3*u - 3*v - 45 = f, -2*u = -6*v + 5*v - 29. What is the remainder when 39 is divided by u?
11
Suppose -j = 4*j + 3*v - 42, 3*j - 5*v + 2 = 0. Suppose 4*y - 5*y = -j. Suppose 14*k - 32 = 12*k. What is the remainder when k is divided by y?
4
Suppose 19*v - 42*v + 851 = 0. Calculate the remainder when 179 is divided by v.
31
Suppose -1242 + 1218 = -2*v. What is the remainder when 767 is divided by v?
11
Let g = 305 - 443. Calculate the remainder when ((-2)/4)/(3/g) is divided by 6.
5
Let u = -5 + 16. Let r(v) = 2*v**2 - 7*v + 4. Let a be r(5). Suppose -3*i - a = -79. Calculate the remainder when i is divided by u.
9
Suppose 2*n - 19*y = -18*y + 326, 2*n = 5*y + 342. Calculate the remainder when n is divided by 18.
17
Suppose 43 = 4*g - 3*n, -35 = -2*g - n - 2*n. What is the remainder when 47 is divided by g?
8
Let b = -20 + 36. Let c = -12 + b. Suppose 4*i - 2*m = 146, c*i - m = 78 + 69. What is the remainder when i is divided by 10?
7
Let p = -67 - -116. Suppose 2*z = 4*n - 24, -4*n - 2*z + 11 = -13. Suppose 0 = 5*c - n*c + 18. Calculate the remainder when p is divided by c.
13
Let z(s) = -s**3 - 9*s**2 - 5*s - 6. Let h be z(-9). Suppose 4*q - h - 237 = 0. Let c = q + -47. Calculate the remainder when c is divided by 8.
6
Let h(t) be the first derivative of 7*t**3/3 - 6*t**2 + 19*t - 49. What is the remainder when h(4) is divided by 12?
11
Let u(a) = a + 7. Let m be u(-6). Let q(z) = -9*z - 1. Let h be q(0). What is the remainder when 30 is divided by h*(-6 - m - 1)?
6
Let o(s) = s**2 + 24*s - 20. Let p be o(-29). Let a = -83 + 143. Let l = p - a. Calculate the remainder when l is divided by 22.
21
Let c(d) = -d**2 + 3*d + 34. What is the remainder when 32 is divided by c(-4)?
2
Suppose -10*v = -11*v + 22. What is the remainder when 281 is divided by v?
17
Let c(k) = -k**2 + 3*k + 32. What is the remainder when 67 is divided by c(6)?
11
Let r be (-710)/(-35) + 4/(-14). Let n = -21 + 19. What is the remainder when 94 is divided by (24/(-10))/(n/r)?
22
Let y(t) = t**3 + 13*t**2 + 13*t + 15. Let q be y(-12). Suppose -i - q*i + 138 = 2*w, 0 = 2*i + 4*w - 54. What is the remainder when i is divided by 22?
15
What is the remainder when -457*3/(-6) - 65/26 is divided by 124?
102
Let a = 42 + -25. Let k(r) = r**3 + 5*r**2 + 4*r. Let x be k(-4). Suppose j - 6 = -x*j. Calculate the remainder when a is divided by j.
5
Let w(f) = 2*f - 1. Let s be w(2). Let h be 0 + -2 + (s - 2). Calculate the remainder when ((-4)/(4/21))/h is divided by 8.
5
Let j(q) = -q**3 + 3*q**2 + 6*q + 8. What is the remainder when 47/2*-2*-1 is divided by j(-2)?
15
Calculate the remainder when 57 is divided by ((-2)/(-4))/(17/986).
28
Let r = -70 - -70. Suppose 2*p - 34 = -r*p. What is the remainder when p is divided by 6?
5
Let s(c) = -3*c**3 - c**2 - c. Let d(q) = q**2 + 16*q + 37. Let x be d(-13). Calculate the remainder when 108 is divided by s(x).
20
Let o(k) = -k**2 - 12*k - 15. Let q = 22 + -14. What is the remainder when q is divided by o(-10)?
3
Suppose -883*k = -875*k - 336. Suppose -3*b = 63 - 303. Calculate the remainder when b is divided by k.
38
Suppose w - 5*d + 4 = -3, 3*d - 15 = 0. What is the remainder when 424/(-6)*(-6)/4 is divided by w?
16
Let w(t) = 58*t**3 - 2*t**2 + 1. Suppose 4*l + 36 = 2*f, 5*f - 14 = -2*l + 28. What is the remainder when w(1) is divided by f?
7
Suppose 26 = 2*c - 8. Let i(l) = -5*l + 12. Let w = -21 - -17. What is the remainder when i(w) is divided by c?
15
Suppose 0 = 42*l - 36*l - 1254. Calculate the remainder when l is divided by 35.
34
Let s(j) = -5*j + 129. Calculate the remainder when s(-20) is divided by 58.
55
Let o be ((-45)/6)/(9/12). Let l = 12 - o. What is the remainder when 173 is divided by l?
19
Suppose -3*l - 258 = -9*l. What is the remainder when l is divided by 23?
20
Let r = 247 + -553. Calculate the remainder when 4/(-22) + 598/22 is divided by r/(-42) - 2/7.
6
Let o = -51 + 116. Suppose -5*z = -i + 21, -2*z + 16 = i - 5. Let x(r) = r**3 - 21*r**2 - r + 38. Calculate the remainder when o is divided by x(i).
14
Suppose -5*q + 5*g = 35, 2*q + g + 2 + 0 = 0. Let l be 4/36*q*6. What is the remainder when (-35)/l*48/40 is divided by 8?
5
What is the remainder when (16/12 + 2)*(90 + -9) is divided by 68?
66
Suppose 17*d - 52 = 15*d. What is the remainder when 171 is divided by d?
15
Suppose -3*v + 3 = -4*d + 2, -38 = -4*v - 2*d. Let x be (0 - 6)*5*12/(-40). Suppose -x*z - 50 = -19*z. What is the remainder when v is divided by z?
2
Suppose 3*g - 5*i = 74, -3*g + 2*i + 68 = 3*i. Let x = 163 - 154. Calculate the remainder when g is divided by x.
5
Let j = 77 - -1. Calculate the remainder when j is divided by 22.
12
Let m be (-325)/15 + (-2)/6. Let f = m - -25. Suppose 2 - 6 = -q - 3*y, f*q - 4*y - 77 = 0. What is the remainder when 54 is divided by q?
16
Suppose h + 2*h = -4*x + 19, h - 3*x = 15. Calculate the remainder when h is divided by 9.
0
Let h = -6 + 8. Suppose -h = j + 15. Let g = j - -28. What is the remainder when g is divided by 3?
2
Suppose 0*b - 6 = -b. What is the remainder when 34 is divided by (-130)/18*-3 + 2/b?
12
Let j = -18 + 10. Let v be 4/((-4)/j*4). Suppose b - 8 = v*g + 7, b + 1 = -2*g. What is the remainder when 19 is divided by b?
5
Suppose 2*f - 270 = 266. Suppose -11*n = -227 - f. Calculate the remainder when n is divided by 16.
13
Suppose 4*w - 483 = 21. Let x = w + -65. What is the remainder when x is divided by 16?
13
Suppose 4*z + d - 473 = 0, -2*z + 2*d + 235 = 3*d. Let y = -43 + z. Calculate the remainder when y is divided by 20.
16
What is the remainder when (-1587)/(-15) + 3/15 is divided by 27?
25
Let j(d) = 2*d**2 - 15*d - 3. Calculate the remainder when 591 is divided by j(11).
73
Suppose -5*u + 5*a = -0*a - 295, -4*a = 3*u - 163. Let d = u + -22. Let m(g) = -2*g + 23. Calculate the remainder when d is divided by m(7).
8
Suppose -254*r = -253*r + 246. What is the remainder when r/(-12)*2 + 5 is divided by 12?
10
Let t(s) = s**3 + 7*s**2 -