late the remainder when 14 is divided by j.
4
Suppose 0 = -3*q + 57 - 42. Let m(a) = a. What is the remainder when 9 is divided by m(q)?
4
Let z(v) = 3*v**2 + 9*v + 20. What is the remainder when 136 is divided by z(-2)?
10
Let x(y) = y**3 - 10*y**2 + 12*y + 12. Let w be x(9). Suppose 3*s - w = 6. Let g = 393 + -367. What is the remainder when g is divided by s?
11
Suppose 2*h + 10 = -3*h. Let a = -19 - h. Let t = -13 - a. What is the remainder when 15 is divided by t?
3
Suppose 0 = -3*x, -4*h - 28 = x - 0*x. Let m be h*((-27)/21 + 1). Calculate the remainder when 84 is divided by m/(0 + (-6)/(-51)).
16
What is the remainder when 190/(1 + 9)*34 is divided by 24?
22
Let w = -77 - -147. Let t(n) = 2*n**2 - 3*n. Let h be t(-6). Suppose 0*m = -5*m + h. What is the remainder when w is divided by m?
16
Suppose -2*i + 5*j + 38 = 0, -50*j + 51*j + 40 = 4*i. Calculate the remainder when 23 is divided by i.
5
Suppose -k + 3 = -3*m + 11, -3*m - 4 = -4*k. What is the remainder when 107 is divided by 1/m + (-1391)/(-52)?
26
Let a be 0*10/(-100) - (1 + -4). Suppose u - 4*l = 8 + 2, 0 = -3*l + 9. Suppose 0 = t - a*t + u. Calculate the remainder when t is divided by 3.
2
Let l be (-78)/(-3) + -2*1. Suppose -x + 14 = -3*n + 5, 2*x - 4*n - 14 = 0. Suppose a + l = x*a. What is the remainder when 21 is divided by a?
9
Let z = 6 + 4. Suppose -3*v - 5*d + 40 = 0, 4*v = v + d + z. Suppose u = v*w - 8, -u + 0*u = 4*w - 10. Calculate the remainder when 2 is divided by u.
0
Suppose -82 = 2*o - 102. Let y(w) = -w**3 + w**2 + 15. What is the remainder when y(0) is divided by o?
5
Suppose 5*y - 11*y - 42 = 0. Let a(r) = -r**3 - 4*r**2 + 15*r + 20. What is the remainder when a(y) is divided by 9?
8
Suppose 64*t + 3156 = 67*t. What is the remainder when t is divided by 17?
15
Let l = -527 - -549. Suppose -4*k = 16, 4*q + 98 = 4*k + 458. Calculate the remainder when q is divided by l.
20
Let u = -37 - -53. Suppose 2*t = o + 14, -t = 2*t - 2*o - 22. Calculate the remainder when u is divided by t.
4
Suppose 16*s - j - 763 = 14*s, 3*s - 1134 = 5*j. What is the remainder when s is divided by 55?
53
Let k(l) = l**2 - 13*l + 8. Let f(n) = 3*n**3 - 3*n**2 + 1. Let h be f(2). Let d be k(h). What is the remainder when 31 is divided by (-8*d/4)/(-2)?
7
Suppose 2*x - x = -23. Let u = 34 + x. What is the remainder when u is divided by 4?
3
Suppose 0 = -4*k, -87 = -h + 99*k - 97*k. Let y = 33 - 20. What is the remainder when h is divided by y?
9
Let w(a) = -a**2 + 3*a + 8. Let o be w(5). What is the remainder when (-20)/o + (0 - -2) is divided by 5?
2
Suppose 4*y + 5*l - 96 = 0, -4*y + 80 = -0*l + l. What is the remainder when y is divided by 15?
4
Let h(n) = n**3 - 7*n**2 - 2*n + 17. Let a be h(7). Suppose -a*v = 9*v - 12. What is the remainder when v is divided by 1?
0
Let t be 1 + 1/(-1) - -9. Suppose -18*v + 44 = 4*v. What is the remainder when 0/v - (t + -82) is divided by 19?
16
Let w be -52 - ((-8)/4 + -1). Suppose 0*h = 4*t + 4*h - 28, 0 = t + 5*h - 3. Calculate the remainder when (-14)/w + 192/14 is divided by t.
6
Let t be 2 + 4/4 + -1. Suppose -3*r + t*n = -28, -3*r + 24 = -2*n - n. Calculate the remainder when r is divided by 7.
5
Let o(l) = 212*l**3 + l**2 - l - 1. Let v be o(-1). Let x = 329 + v. What is the remainder when x is divided by 24?
22
Let q = -39 + 159. Let o = -100 + q. What is the remainder when 34 + 2*(-1 - -2) is divided by o?
16
Let d = -87 - -89. Let m be 40/30 + (-2)/(-3). Suppose 5*k + 12 = -m*l + 41, -2*k - 36 = -d*l. Calculate the remainder when l is divided by 5.
2
Let q(t) = 11*t - 36. What is the remainder when q(17) is divided by 51?
49
Suppose -3*p = -5*q - 0*p + 29, -4*q = -4*p - 28. Let o = 379 - 343. Calculate the remainder when o is divided by q.
0
Suppose -2*x + 52 = -2*s, x - 8 = 3*s + 18. What is the remainder when 362 is divided by x?
24
Let m(p) be the third derivative of p**5/20 + p**4/3 + 5*p**3/6 - 7*p**2 + 3. Calculate the remainder when m(-2) is divided by 1.
0
Let j(q) = 6*q - 2. Let p(n) = 5*n - 2. Let f(b) = 3*j(b) - 4*p(b). Let s be f(-1). Suppose s*k + 17 - 77 = 0. Calculate the remainder when 57 is divided by k.
12
Calculate the remainder when -430*((-17)/42 + (-18)/189) is divided by 24.
23
Let t = -441 - -846. Calculate the remainder when t is divided by 29.
28
What is the remainder when 15 is divided by (-8)/6 + (-117)/(-27)?
0
Let o = -166 - -387. What is the remainder when o is divided by 32?
29
Suppose z + 3 - 1 = 0. Let f = z + 9. Suppose -3*n + 2 = -5*w, -w - 4*w = 3*n - 22. What is the remainder when f is divided by w?
1
Let v = 28 + -28. Suppose 4*k = j - 55, v*j = j - 3*k - 50. Calculate the remainder when j is divided by 18.
17
Let d(m) = -76*m**3 - 4*m**2 - 2*m + 1. What is the remainder when d(-1) is divided by 43?
32
Calculate the remainder when -1 + (-618)/(-21) - 24/56 is divided by 11.
6
Suppose -18*j = -12*j. Suppose 4*t + f - 39 = j, 22 + 23 = 5*t + 5*f. Let q(v) = v**3 - 5*v**2 - v + 7. What is the remainder when q(6) is divided by t?
7
Let j = 30 - 27. Suppose 0 = -j*w - 0*w + 63. Calculate the remainder when w is divided by 9.
3
Calculate the remainder when 339 is divided by (-5 - (-31)/4)*4.
9
Let i(l) = 6*l - 10. Let a be i(3). Suppose 3*w - 3*f = 70 + a, 4*w - 3*f = 103. What is the remainder when 73 is divided by w?
23
Let u(n) = -n**3 + 9*n**2 - 16*n - 4. What is the remainder when u(5) is divided by 6?
4
Let k be (-16)/((3 + -3)/(-2) - -1). What is the remainder when (-89)/(-3) - (k/6)/8 is divided by 9?
3
Let l = -5 - -7. Let x be (-5 - -7)*109/l. Suppose 3*b + 60 = d, 4*d + 3*b - 146 = x. What is the remainder when d is divided by 16?
15
Let m = 3 - -1. Suppose m*c + 42 = c. Let v = 31 + c. What is the remainder when 33 is divided by v?
16
Let s = -67 - -51. What is the remainder when 63 is divided by 3/(-2 - -5) - (1 + s)?
15
What is the remainder when 76 is divided by ((-11)/(-66)*-51)/((-1)/2)?
8
Let f(t) = t**3 + 3*t**2 - 2*t + 2. Suppose -11*x = -15*x - 8. Calculate the remainder when 47 is divided by f(x).
7
Let l be ((-24)/15)/(5/200). Let j = l + 75. What is the remainder when j is divided by 2?
1
Suppose 2*m + 43 = 3*h, -3*h = -h - 4*m - 34. Let i = -9 + h. Suppose -i*u + 3*u + 18 = 0. Calculate the remainder when 70 is divided by u.
16
Let n = -5 - -5. Suppose n*c + 9 = c. Calculate the remainder when (3 - (-33)/(-6))*-6 is divided by c.
6
Let s(f) = f**3 + 20*f**2 - 22*f - 18. Suppose -6*u = 105 + 21. Calculate the remainder when 21 is divided by s(u).
0
Let r be (5/(-2))/((-16)/32). Suppose -r*q = -3*q - 196. What is the remainder when q is divided by 25?
23
Let s(m) = 4*m - 10. Let z be s(3). Calculate the remainder when (-3 + (-52)/(-8))*z is divided by (-1 + 0)*5*-1.
2
Let m be (-2)/(-16)*2 + 11/4. Suppose -l - m*t = 5, 0*t - 4*t + 30 = 5*l. Calculate the remainder when 58 is divided by l.
8
Let p be (6/(-5))/((-644)/105 - -6). Let r = 36 - p. What is the remainder when r is divided by 6?
3
Let w = 181 - 165. Calculate the remainder when w is divided by 9.
7
Let r(s) = s**2 + 6. Suppose -z - 198 = 2*z + 3*c, -4*c = -3*z - 170. Let h = z - -71. What is the remainder when r(6) is divided by h?
6
Suppose 8*s + 5*b = 7*s - 8, -2*b - 34 = -4*s. Suppose -2*t = -5*l + 17, -2*t = 2*l - 13 - 5. What is the remainder when s is divided by l?
2
Let o be 5 + (-2 - 1) - -964. Suppose 0*m - o = -7*m. Calculate the remainder when m is divided by 28.
26
Suppose 5*a - 19 - 21 = -5*y, 2*a - 26 = 3*y. Suppose 0 = a*b - 3*b - 14. Suppose -3*f - 4 = -4*f. What is the remainder when f is divided by b?
0
Let k = -212 + 259. Calculate the remainder when 92 is divided by k.
45
Let a be 37/4 + 2/(-8). Let c = 10 - a. Calculate the remainder when -1 + -4 + c - -50 is divided by 12.
10
Let n = -100 - -103. Let i be ((-3)/4)/((-2)/8). Suppose -156 = -i*b - n*z, -2*b = -z - 56 - 33. What is the remainder when b is divided by 25?
22
Let m(n) = -5*n**2 - 86*n + 6. Calculate the remainder when 83 is divided by m(-17).
14
Suppose 21*n - 19*n + 586 = 2*l, -859 = -3*l - n. What is the remainder when l is divided by 29?
27
Suppose 4*w + 17 = 49. Suppose -2*x + h + 2*h + 26 = 0, 0 = -2*h - w. What is the remainder when 18 is divided by x?
4
Let l = 14 + -11. Let k be (18/(-15))/(6/(-15)). Suppose 8*a = k*a + 15. What