er when 5352 is divided by j.
32
Suppose 5*z - 2*v - 9844 = 0, -4*z - 174*v + 175*v = -7871. What is the remainder when z is divided by 48?
46
Suppose i + 5*b = 828 - 21, 2*i = 3*b + 1601. What is the remainder when i is divided by 391?
20
What is the remainder when 63 is divided by (-5952)/(-207) + (-14)/21 - 4/46?
7
Let y = -1505 - -1610. Calculate the remainder when 839 is divided by y.
104
Let k = 38900 + -38864. Calculate the remainder when 516 is divided by k.
12
Suppose 3*t = -t - 4*c + 48, -3*t + 64 = -4*c. Let y(j) = 25*j**2 + 6*j**3 + 2*j - 8*j**2 - 6 - 7*j**3 + 2. Calculate the remainder when y(17) is divided by t.
14
Suppose 2108 = 5*t + 3*b - 742, -5*t + 4*b = -2815. Calculate the remainder when t is divided by 134.
31
Let q(d) = -19*d**3 + 2*d**2 - d - 4. What is the remainder when 3315 is divided by q(-2)?
155
Let a = 45 - 32. Let g(o) be the first derivative of -o**4/4 + o**3/3 - o**2/2 + 5*o - 26. Calculate the remainder when a is divided by g(0).
3
Suppose 0 = 3*w + 3*u - u - 206, 0 = 2*w - 2*u - 154. Let l = -347 - -355. Suppose -268 = -l*c + 36. Calculate the remainder when w is divided by c.
34
Let x = -3 + -6. Suppose 0*f + f - 87 = 0. Calculate the remainder when f is divided by (-66)/x*((3 - 1) + 1).
21
Let l = 59 + -26. Suppose 0 = f - 2*v - 15, f + 3*f + v = l. Suppose q - 4*w = -1, 0 = 3*q - w - 10 - f. What is the remainder when 13 is divided by q?
6
Let q(r) = 4*r + 19. Let s be q(-5). Let v = 0 + s. Let o(w) = -29*w**3 - w**2 + 1. Calculate the remainder when o(v) is divided by 8.
5
Let t(z) = 9*z**2 + 6*z - 4. Let f(y) = -93*y - 3320. Calculate the remainder when t(5) is divided by f(-36).
27
Let i be ((-5)/((-20)/(-18)))/(27/(-3060)). Suppose -96*j + i = -90*j. What is the remainder when j is divided by 45?
40
Suppose -177 = 3*r - 3*c, 2*r - 7*c + 9*c = -102. Let f = 115 + r. What is the remainder when f is divided by 37?
23
Suppose 0 = 5*l - 2*c - 884, -360 = -2*l + 400*c - 396*c. What is the remainder when l is divided by 15?
11
Let z(n) = -n**2 - 6*n - 1. Let q be z(-5). Suppose -3*s + x + 27 = q*x, 2*s - x = 27. Let f = s + 86. What is the remainder when f is divided by 11?
10
Suppose -33*v - 2259 + 7737 = 0. What is the remainder when 1517 is divided by v?
23
Suppose 4966 = 106*a + 832. What is the remainder when 2097 is divided by a?
30
Let d(h) = -h**3 - 26*h**2 - 26*h + 37. Let i be d(-25). Suppose 10*t - 12 = -i. Let w(m) = m**2 - 2. Calculate the remainder when 63 is divided by w(t).
17
Let y = -393 - -409. Let p = y - -209. Calculate the remainder when p is divided by 70.
15
Suppose 3*v + 3696 = 2*q, -3*v = 5*q + 437 - 9635. What is the remainder when q is divided by 84?
78
Suppose 32*w + 1209 = 3993. What is the remainder when 11743 is divided by w?
85
Suppose -o - 3 = -4*o, 0 = -3*c + o + 5. Suppose -5*x - 5*k + c*k = -134, 0 = 5*x - 3*k - 146. What is the remainder when 76 is divided by x?
20
Let n be ((-4)/(-6) + -1)/(15/(-450)). Suppose -n*d = 3 - 103. What is the remainder when 107 is divided by d?
7
Let b be (-30)/(-8) + -5*(-6)/120. Suppose 4*j - 23 - 55 = 2*o, 0 = 3*j + b*o - 86. What is the remainder when j is divided by 8?
6
Suppose -3*t + 117 = -2*c, -5*c + 10*c + 15 = 0. Let p = t - 12. Let h = 509 - 505. What is the remainder when p is divided by h?
1
Let i(y) = -y**2 - 7*y + 141. Let m = 44 + -19. What is the remainder when m is divided by i(-15)?
4
Let v(y) = -7*y - 1. Let c be v(-1). Let l be 6/(0 + c/16). Suppose 44 = 4*b - l. Calculate the remainder when 55 is divided by b.
10
Suppose 23 + 244 = 3*p. Suppose 6*d - 227 = -p. Calculate the remainder when d is divided by -174*(-6)/204 + (-4)/34.
3
Let w(l) = -62*l + 7582. Calculate the remainder when w(74) is divided by 3.
0
Let y(n) = n**3 - 7*n**2 - 2*n + 20. Let f be y(7). Suppose -4*j = 5*k - 119, -k + 1 = 5*j - f. Calculate the remainder when 61 is divided by k.
7
Suppose 0 = -n + 7 - 4. Let i(j) = 237998*j - 5 - 1 - 237966*j. Calculate the remainder when i(n) is divided by 23.
21
Let r(d) = 32*d**2 - 5*d + 11. Let z be r(3). Suppose -43*f + 41*f + z = 0. What is the remainder when 171 is divided by (-10)/20 - f/(-4)?
31
Suppose -3*d - 6*d = -495. Suppose 0 = 5*y - v - 3*v + 16, 3*y = -3*v + 12. Suppose 8*l - 11*l + 57 = y. Calculate the remainder when d is divided by l.
17
Calculate the remainder when 280 is divided by (-8 - (-7 + 0))*-16.
8
Let t(m) = -2*m**3 - 3*m**2 - 10*m - 3. Let f be t(-3). Suppose -78*b + 72*b = -f. Let q(g) = 30*g - 1. What is the remainder when q(1) is divided by b?
2
Suppose 3*h - 110 = h. Let z(j) = 5*j**2 + 2*j + 1944. Let y be z(0). Suppose -77*n + y = -68*n. What is the remainder when n is divided by h?
51
Let o(a) = -7*a**3 + 27*a - 9 + 17*a**3 - 9*a**3 - 5*a - 13*a**2. Calculate the remainder when o(13) is divided by 35.
32
Let n = -4794 - -4811. What is the remainder when 349 is divided by n?
9
Suppose 69 = 8*a - 5*a. Suppose -8 = u + 2*z, -3*z = 2*u + 2*z + 19. Calculate the remainder when a is divided by 2 - u/(8/12).
3
Suppose -3*c + 32 + 12 = 2*n, -24 = -2*n + 2*c. What is the remainder when 5967 is divided by n?
15
Let v = -690 + 912. What is the remainder when 5769 is divided by v?
219
Let w = -972 - -1193. What is the remainder when w is divided by 48?
29
Let t = -22908 + 22926. Calculate the remainder when 83 is divided by t.
11
Suppose 0 = 4*o + 20 + 8. Let g(y) = -17*y - 11. Calculate the remainder when g(o) is divided by 57.
51
Let f(x) = 8*x - 19. Let l be f(-6). Suppose -216 = -4*c + c. Let g = l + c. What is the remainder when 13 is divided by g?
3
Suppose -w + 104 = 7*w. Suppose 2*y - 9 = y - 3*q, 15 = 3*y + 5*q. Suppose -4*r + 3*z = -291, y*z + 303 = 4*r + z. What is the remainder when r is divided by w?
10
Suppose -7*i - 39 + 1607 = 9*i. Calculate the remainder when 103 is divided by i.
5
Let v be ((-6402)/(-44))/((-1)/2). Let r = 358 + v. Calculate the remainder when r is divided by 35.
32
Let t(z) be the second derivative of -z**4/6 - 7*z**3/6 - 27*z. Let d be t(-5). Let f(q) = -6*q - 44. What is the remainder when f(d) is divided by 4?
2
Let f be 4 + (-4)/12*0. Let y be ((-79)/f)/((-11)/44). Let s = y - 13. Calculate the remainder when s is divided by 17.
15
Let v(t) = t + 5. Let s be v(-10). Let k(p) = -14*p + 32. What is the remainder when k(s) is divided by 18?
12
Let n be 3/((-57)/(-9) + -4 - 2). Let g(f) = f. Let o(a) = -5*a - 8. Let i(p) = -4*g(p) - o(p). Calculate the remainder when i(n) is divided by 7.
3
Suppose 56*j + 2*j = 6765 + 3733. Calculate the remainder when 3253 is divided by j.
176
Let a = 513 + -533. What is the remainder when 61*(-5)/a*4 is divided by 31?
30
Let p(c) = 2*c**2 - c + 7. Suppose 0 = 22*o - 37*o + 2745. Let w = o + -149. What is the remainder when p(-5) is divided by w?
28
Suppose -138 - 246 = -2*i. Suppose 2*y - i = 4*y. Calculate the remainder when 110 is divided by (2 - 39/(-12))*y/(-18).
26
Let r = -45 + 44. What is the remainder when 38 - (r - (1 - 6)) is divided by 7?
6
Suppose -9*d + 7866 = 5*d + 4*d. Calculate the remainder when d is divided by 89.
81
Suppose 191*k - 186*k - 5662 = -3*z, -3*k - 4*z + 3384 = 0. What is the remainder when k is divided by 163?
158
Let o(f) = 5*f - 26. Let w be o(6). Suppose -m - w*i + 381 = 0, -8*i - 2001 = -5*m - 4*i. Calculate the remainder when m is divided by 7.
5
Let o(k) = 3*k**3 + 25*k**2 - 77*k - 16. What is the remainder when 275 is divided by o(3)?
39
Let q(v) = -v**2 - 72*v - 412. What is the remainder when 608 is divided by q(-64)?
8
Let m = 75995 + -75702. Calculate the remainder when m is divided by -5 - -3 - (-40 - -1).
34
Let q(t) = -t**2 + 24*t - 19. Let n be q(23). Suppose -3*o = -n*f - 184, -5*o + 4*f = -227 - 93. Calculate the remainder when 254 is divided by o.
50
Let k(p) = -7*p**3 + 182*p**2 - p + 34. What is the remainder when 1707 is divided by k(26)?
3
Suppose -3*f = -f - 2*y + 14, 5*y = 4*f + 26. Let m = f - -62. Suppose -32*x + 29*x = -42. What is the remainder when m is divided by x?
11
Suppose 6*b = 11*b - 10, -l - 5*b + 1421 = 0. Calculate the remainder when l is divided by 20.
11
Let b(x) = -2*x**2 - 4*x - 1. Let j be (-531)/(-63) + -8 + 10/(-7). What is the remainder when b(j) is divided by 1?
0
Let s(l) = -2*l**3 + 23*l**2 - 16*l - 37. Calculate the remainder when s(