er when a is divided by 3.
0
Suppose 2*p + 4*p = 3*p. Let v(q) = 2*q**3 + q**2 + 2*q + 38. Calculate the remainder when v(p) is divided by 16.
6
Suppose -3*m = -r + 8, 0 = r + 6*m - 2*m - 8. Let k(i) = -i**3 + 6*i**2 + 21*i - 35. Calculate the remainder when 37 is divided by k(r).
2
Let m(s) = -3*s**2 - 90*s - 656. Calculate the remainder when 3723 is divided by m(-14).
11
Suppose 2*y - 169*o = -166*o + 17915, y = -5*o + 8925. What is the remainder when y is divided by 7?
4
Let q = 200 - 113. Suppose 26*o = 50*o + 161*o - 4995. Calculate the remainder when q is divided by o.
6
What is the remainder when 237 is divided by ((-7)/(105/(-18)))/((663/(-1495))/(-17))?
7
Let r(u) = 3*u**2 - 23*u + 11. Let c(i) = -i**3 - 3*i**2 + 10*i + 9. Let s be c(-5). What is the remainder when r(s) is divided by 8?
7
Let u be (281 - 2/(-4)*4)*1. Let q = u + -161. Calculate the remainder when q is divided by 23.
7
Suppose -5293 = 16*a - 23693. Calculate the remainder when a is divided by 13.
6
Suppose f + 92 = -3*b - 116, 917 = -4*f + 5*b. Let c = -182 - f. What is the remainder when c is divided by 24?
17
What is the remainder when 89 is divided by (4/8)/((-24)/16 - -1)*-65?
24
Let w be (2 + 0 + -2)*(-3)/9. Suppose 335 = 5*p + z, w*z - 5 = -z. Suppose -84 - 31 = -5*f. Calculate the remainder when p is divided by f.
20
Let v(f) = -f**3 + 5*f**2 - 7*f. Let l be v(4). Let u(b) = 2*b**2 + 15*b + 7. What is the remainder when u(l) is divided by 30?
25
Suppose 0 = 3*l + 3*m - 2508, 126*m = l + 124*m - 848. What is the remainder when l is divided by 85?
75
Suppose -71*l - 61*l + 6048 = -114*l. What is the remainder when l is divided by 178?
158
Let d = -271 + 264. Let j(t) = 3*t**2 + 18*t + 4. Calculate the remainder when 45 is divided by j(d).
20
Let h(l) = l**3 - 7*l**2 + 2. Let v be h(7). Let z(k) = 14*k**v + k**3 - 17*k**2 + 11*k**2 - 4*k + 6. Calculate the remainder when z(-8) is divided by 8.
6
Let o(t) = -t**3 + 22*t**2 - 12*t + 182. What is the remainder when o(21) is divided by 15?
11
Let m(j) = 2*j**3 + 2*j**2 + j + 68. What is the remainder when 397 is divided by m(5)?
24
Suppose -2*k = 3835*g - 3837*g - 528, 8*k - 2122 = 3*g. Let q(j) = -j**3 + j**2 - j + 18. Calculate the remainder when k is divided by q(0).
14
Let k(b) be the first derivative of 2*b**3/3 + 4*b**2 + 11*b + 8. Let j = -380 - -503. What is the remainder when j is divided by k(-5)?
18
Let o = -154 - -46. Let l = o - -113. Calculate the remainder when 16 is divided by l.
1
Let i(n) = -15*n**3 - 4*n**2 - n + 2. Calculate the remainder when i(-3) is divided by ((-1664)/169 + 10)/((-4)/(-208)).
6
Let k(m) = 4*m - 44. Let j be k(30). Suppose 0 = 2*c - 5*x - j, -3*c + 5*c = -x + 88. Calculate the remainder when c is divided by 25.
18
Suppose -30756 = 12*w - 30180. Let f be (-121)/2 + 2/4. Let l = w - f. What is the remainder when l is divided by 11?
1
Suppose 12*l = 1117 + 227. Suppose 0 = u + 2, 5*x - u = l. Calculate the remainder when x is divided by 10.
2
Let l(h) = 2*h**3 + h**2 - 6*h - 3. Let n = -238 + 360. What is the remainder when n is divided by l(3)?
38
Let l(q) = -3*q**3 + 64*q**2 - 331. Calculate the remainder when 275 is divided by l(21).
55
Let d = -74 - -73. What is the remainder when (-2)/(-5) + ((-138)/(-5) - d) is divided by 16?
13
Suppose 41*i = 36*i - 2*j + 174, 0 = 5*j - 35. Calculate the remainder when 1541 is divided by i.
5
Let h(y) = y**3 + 5*y**2 - 4. Let b be h(-4). Let l be ((-2506)/b + (-3)/18)*-1. Suppose 6*j - l = 211. What is the remainder when j is divided by 24?
22
Let u(l) = -23*l**2 - 8*l - 41. Let b be u(-4). Let q = b + 384. Calculate the remainder when 137 is divided by q.
4
Let z = 218160 - 218107. Let a(f) = 3*f**3 - 4*f**2 + 2*f. Calculate the remainder when z is divided by a(2).
5
What is the remainder when 166*(1 + 3/(-6)) is divided by 14?
13
Suppose -r = -2*r + 121. Suppose 5*p - 363 = -l - 2*l, -l + r = 5*p. What is the remainder when l is divided by 47?
27
Suppose -i - 2*i = 5*s - 34, -5*i + 5*s = -110. Let k = i - 2. Calculate the remainder when 79 is divided by k.
15
Let q(m) = 20*m**2 + 38*m - 213. Calculate the remainder when q(5) is divided by 237.
3
Suppose 28*k - 34*k = -108. Let w(v) = v**2 - 5*v - 8. What is the remainder when k is divided by w(7)?
0
Let i be (8 - (-4836)/60 - -10) + (-6)/10. Let t = -139 - -338. Let o = t - i. Calculate the remainder when o is divided by 26.
23
Suppose -7444 = -3*q - 6*y + 11*y, 0 = -2*y + 14. What is the remainder when 2495 is divided by q?
2
Suppose -11*q + 40*q - 1943 = 0. Suppose -3*l = -l - 70. Calculate the remainder when q is divided by l.
32
Suppose 3*d + 414 = 3*l - 2*l, -l = -5*d - 418. Suppose 4*v = v + l. Let f = -81 + v. What is the remainder when f is divided by 28?
27
Let s be 44/(-1*(7/2)/(-7)). Suppose 9*t + s = 331. What is the remainder when 133 is divided by t?
25
Suppose 0 = 35*p + 31*p - 59*p - 19047. What is the remainder when p is divided by 12?
9
Let b(u) = 9*u**2 - 1. Calculate the remainder when 5 + -6 - ((-770)/20 + 3/2) is divided by b(1).
4
What is the remainder when 203 is divided by 4 - ((-1620)/14 + (-102)/357)?
83
Let c(d) = -23*d - 370. What is the remainder when 2561 is divided by c(-17)?
20
Suppose 0 = -173*w + 163*w + 3040. Calculate the remainder when w is divided by 62.
56
Let n(i) = -32*i - 19. Calculate the remainder when n(-14) is divided by 16.
13
What is the remainder when 374 is divided by ((-520)/(-30) - 20)*((-81)/6 - 3)?
22
Let o = -73815 - -74209. What is the remainder when o is divided by 0/((-3)/3) + 79?
78
Calculate the remainder when 349 is divided by (-34 + -81)/((-1)/3).
4
Suppose 5*t = -i + 5, 2*t - 6 = -5*i - 27. Suppose -t*j + 1578 = -2*w, -j - w = -681 - 116. What is the remainder when j is divided by 53?
51
Let a be ((-6)/(-6))/(2/(-6)) + -27. Let c = a + 101. Calculate the remainder when c is divided by (-522)/(-14) + (-6)/21.
34
Let v = 541 + -523. Suppose -v*w = -w - 816. What is the remainder when 74 is divided by w?
26
Let l(f) = -2*f**2 - 12*f - 69. Let i be l(-8). Let y = i + 120. Calculate the remainder when 73 is divided by y.
16
Suppose -l - 9*v = -4*v + 124, -l + 2*v = 152. What is the remainder when (-14368)/l - (1 - 22/18) is divided by 51?
49
Calculate the remainder when 907 - (-1 + (-12)/3 + 0 + 0) is divided by 259.
135
Let y(s) = -5*s**3 - s**2 + 6*s + 6439. What is the remainder when y(0) is divided by 113?
111
Let i(j) = -10*j - 16. Let b be i(-2). Suppose 5*g + 2*f - 5*f - 177 = 0, g = b*f + 32. Let c = g + 30. Calculate the remainder when c is divided by 17.
15
Suppose -3*s + d = -8, 4*s = 3*s - 3*d + 16. Suppose s*h + 526 - 566 = 0. What is the remainder when 479 is divided by h?
9
Suppose w = -2*y + 4*y - 5118, 8 = -4*w. Calculate the remainder when y is divided by 128.
126
Let z = -62 - -72. Calculate the remainder when 44 is divided by (z - 9)/(1/23*1).
21
Suppose 3170 = -o + 2*r, 14263 = -4*o + 4*r + 1563. Let f = -1623 - o. What is the remainder when f is divided by 82?
81
Let p = 274 + -270. What is the remainder when p - (-2 + -2*135) is divided by 9?
6
Suppose -18892 = -106*o - 5430. Suppose -2*d = -5*d. Calculate the remainder when o is divided by -2 - d - -33 - -1.
31
Let n(o) = 14*o**2 - 12*o**2 + 5*o - 14 - 14*o - 2. Let k be n(6). Suppose -5*u + 2*h = h - k, 17 = 5*u + 4*h. What is the remainder when 3 is divided by u?
0
Let c = -11997 - -12759. What is the remainder when c is divided by 195?
177
Let w = -61 - -93. Let i be 5/(10/4) + (60 - 45). Suppose 19*s - i = 18*s. What is the remainder when w is divided by s?
15
Let i = -6896 - -7064. Calculate the remainder when 665 is divided by i.
161
Suppose -7*h + 81 - 32 = 0. Suppose -4*t + t + 3*n = -60, 5*t + 5*n = 120. What is the remainder when t is divided by h?
1
Suppose 101 = -m - 4*c + 125, 4*c = -4*m + 48. Calculate the remainder when 11702 is divided by m.
6
Let x = 1358 - 1342. What is the remainder when 1035 is divided by x?
11
Let q(x) = x**2 + 9*x + 15. Let y be q(-10). Suppose 27*s - y*s = 518. What is the remainder when s is divided by 29?
27
Let q(d) = d**2 - 8*d + 5. Let a be q(5). Suppose 4*b = -5*j + 391, 6*b + 36 = j + 19. What is the remainder when j is divided by 3/(-2)*a + 0?
11
Suppose 0 = -8*g + 3*g. Suppose g = 2*n - 84 - 218. Suppose 5