the remainder when v/6 - (-15124)/114 is divided by 69?
63
Let y(s) = 14*s**3 - 2*s**2 + s. Suppose 4*f = -4*w + 20, -5*w + 4*f - f = 7. Suppose 77*i = 4*i + 7519. What is the remainder when i is divided by y(w)?
12
Suppose 48 = 4*j - 2*h, -4*j + 43*h - 48*h + 34 = 0. What is the remainder when 3330 is divided by j?
8
Suppose -k + 13 = a, -1 + 28 = 4*k - a. Let l = 9123 - 9119. What is the remainder when k is divided by l?
0
Let m = -17 - 213. Let a = 234 + m. Calculate the remainder when 58 is divided by a.
2
Let d(z) = -4*z - 18. Let i be d(-6). Suppose i*b = -7*b + 221. Suppose -g - 1056 = -9*g. What is the remainder when g is divided by b?
13
Let u(h) = -4*h**2 - 128*h - 681. Calculate the remainder when 5165 is divided by u(-7).
16
Let h(t) = -5*t + 12. Let s be h(10). Let p = -16 - s. Suppose -60*m - 420 = -67*m. What is the remainder when m is divided by p?
16
Let c = 521 - 519. Let k(d) = 72*d**3 - 4*d**2 + 19*d - 32. What is the remainder when k(c) is divided by 81?
80
Let o = 17974 + -1629. What is the remainder when o is divided by 61?
58
Let n(y) be the third derivative of 0*y + 1/120*y**6 + 26*y**2 - 1/30*y**5 + 4/3*y**3 + 0 - 1/6*y**4. Calculate the remainder when 93 is divided by n(4).
21
Let w(o) = 11*o**2 - 4*o + 9. Suppose 10*y = 593 + 27. What is the remainder when w(-3) is divided by y?
58
Suppose 4780 = 10*w - 2620. Let b = 1047 - w. What is the remainder when b is divided by 52?
47
Calculate the remainder when (-7325)/293*404/(-10) is divided by 483.
44
Suppose -z = -2*z + 1. Let x be 0 + 4 + z/1. Suppose -x*p + 75 = 15. Calculate the remainder when 33 is divided by p.
9
What is the remainder when 536 is divided by -1 - (0 - 1)/(135/(-70) + 2)?
3
Let n(a) = 37*a**2 - 1. Let l(t) = 2*t**3 - 25*t**2 + 12*t + 1. Let u be l(12). Calculate the remainder when 179 is divided by n(u).
35
Let d = -266 + 262. Calculate the remainder when 85 is divided by 68/3 + d/6.
19
Let b = -30 - -30. Let u(h) be the first derivative of 2*h**2 + 33*h + 38. Calculate the remainder when 263 is divided by u(b).
32
Let d(t) be the third derivative of 2*t**2 + 0 + 25/12*t**4 + 0*t + 2/3*t**3. Calculate the remainder when d(1) is divided by 28.
26
Let x(l) = l**3 - 40*l**2 + 249*l - 10. What is the remainder when 1505 is divided by x(7)?
113
What is the remainder when 4328*(-18)/(-144) + 1 + 1 is divided by 14?
11
Let c = 18065 - 17719. What is the remainder when c is divided by 28?
10
Let n = 13019 - 10224. What is the remainder when n is divided by 30?
5
Let a = 0 - -6. Let d be -1 + 26/6 + 1/(-3). Suppose d*k = k + 6. Calculate the remainder when a is divided by k.
0
Let i be 3/3 - -2 - -381. Suppose 5*v + 4*g - 415 = 0, 5*v = 2*g + i + 1. What is the remainder when v is divided by 21?
16
Suppose w - 6*m = -m + 45, 0 = 5*w + 2*m - 252. Let d = 67 + 10. Let j = d - w. What is the remainder when 78 is divided by j?
24
Let b(i) = 12*i**3 - 3*i**2 + 5*i - 3. Let a(q) = 3*q**2 + 501*q - 473. Calculate the remainder when b(3) is divided by a(-168).
30
Let g be (20/(-16))/(1 + 21/(-24)). Let j(u) = -3*u + 13. Let y = 111 + -102. What is the remainder when j(g) is divided by y?
7
Suppose 11447 + 16314 = 92*h + 8993. What is the remainder when h is divided by 72?
60
Let n(j) = -2*j + 22. Let l(m) = -m**3 - 9*m**2 - 10*m - 9. Let c be l(-8). What is the remainder when (-16 - -21)*4/1 is divided by n(c)?
4
Let w be (-53)/6 - (-10)/(-60) - -3. Calculate the remainder when 93 is divided by w - 0/(-3) - -26.
13
Suppose -7*a = -12*a + 45. Let b(j) = 6*j - 28. Suppose -3 = -4*y + 21. Calculate the remainder when b(a) is divided by y.
2
Suppose -41601 = -327*t + 134325. What is the remainder when t is divided by 525?
13
Suppose -a - 4*y + 70 = 3, -5*a + 423 = -2*y. Calculate the remainder when 392 is divided by a.
60
Let x(r) = 18*r**2 + 34*r + 114. What is the remainder when 1033 is divided by x(-3)?
163
Let d = 105 - 103. Let u(m) = 3*m**3 - 5*m**2 + 2*m. Let v = 53 + -38. What is the remainder when v is divided by u(d)?
7
Let y(k) = -79*k. Let x be y(3). Let i = x + 256. What is the remainder when 93 is divided by i?
17
Suppose -34 = t - 97. Calculate the remainder when 115 is divided by t - (-1 + 3 + 1).
55
Let c(r) be the third derivative of 121*r**5/60 - r**4/4 - 5*r**2 - 7. What is the remainder when c(-2) is divided by 71?
70
Suppose 2*z + 2055 = 7*z. What is the remainder when z is divided by (2/10)/(8/590)*(-3156 + 3160)?
57
Suppose 22*m = 27*m - 4*o - 105, -4*m - 3*o = -22. Suppose 0 = 5*u - 5*q - 260, -3*u - 2*q = -u - 92. What is the remainder when u is divided by m?
10
Let w = 70 - 27. Suppose 0 = -16*k + 280 + 408. What is the remainder when k is divided by 32/(-24) + w/3?
4
Let z(i) = -i. Suppose -3*s - 72 = -3*p, 0*s - 5*p + 24 = -s. Let b(q) = 40*q. Let f(k) = s*z(k) - 2*b(k). What is the remainder when f(-2) is divided by 29?
25
Suppose 0 = q + 5*y - 251, 2*q + 3 = -2*y + 545. Calculate the remainder when q is divided by 4744/68 - 20/(-85).
66
Suppose g + 4*b = 52, 0 = -0*g - 5*g + 2*b + 150. Let o(z) = -z**3 - 6*z**2 + 2*z + 21. What is the remainder when g is divided by o(-6)?
5
Let l be (297/18)/((-1)/2). Let q = l + 35. What is the remainder when 150/q - 8/(-2) is divided by 41?
38
Suppose -1 + 81 = 5*n. Let x be ((-4)/n*2)/(2/40). What is the remainder when x*3/((-30)/136) is divided by 14?
10
Let m(x) = 15*x + 343. Calculate the remainder when m(-21) is divided by 21.
7
Let h(a) = -a**2 - 26*a - 12. Let q be h(-15). Suppose 223 = 5*u + 3*y, -3*u + 3*y = -0*y - q. What is the remainder when u is divided by 18?
11
Let l be (-90)/21 + (-4)/(-14). Let s be 1*2*l/8. Calculate the remainder when 6*(-2)/4 - (s - 74) is divided by 19.
15
Suppose m - 2*c = 24, 0*m = -3*m + 4*c + 76. Let j = 66904 + -66793. Calculate the remainder when j is divided by m.
27
Let u(o) = o**3 + 8*o**2 + 5*o + 4. Let g be 6 + (-6 - -9) + -2. Suppose g*v = -0*v + 133. Calculate the remainder when u(-5) is divided by v.
16
Let z(a) = -a**3 + 13*a**2 + 25*a - 78. What is the remainder when 758 is divided by z(14)?
74
Suppose 0 = -37*o + 30*o - 7. Calculate the remainder when (43 + -8)*(o + 2) is divided by 16.
3
Let u(r) = -211*r - 2094. Calculate the remainder when u(-14) is divided by 8.
4
Suppose 71*n - 74*n + 1035 = 0. Let f = -340 + n. Calculate the remainder when 284/18 - 2/(-9) is divided by f.
1
Suppose 9759 = 120*q - 5361. What is the remainder when 373 is divided by q?
121
Let z = -106 - -131. What is the remainder when (-18860)/(-85) + (-12)/(-102) is divided by z?
22
Suppose 1117*i - 1070*i = 31490. What is the remainder when i is divided by 85?
75
Suppose -4*i - 22 = -78. Suppose -b - 5*g = -16, -19*b = -i*b + 4*g - 164. What is the remainder when b is divided by 32?
4
Let m(o) = -o + 9. Suppose -5*t - 8*a = -3*a - 80, 4*t - a = 49. Suppose t = -6*u + 223. Calculate the remainder when u is divided by m(0).
8
Suppose 60 = -5*z + 190. Let c(g) = -z*g + 11*g + 32 - 10 + 16*g. Calculate the remainder when 167 is divided by c(-5).
14
Let c = 2 + 1. Suppose -3*t = q - 17 - 1, -6 = -q + c*t. What is the remainder when q is divided by 3?
0
Suppose -3*h + 12 = 5*r, -5*r - 2*h + 13 = -0*h. Suppose -5*c = w - 56 - 48, 4*w - 416 = r*c. Calculate the remainder when w is divided by 22.
16
Let k(j) be the third derivative of -j**6/120 + 2*j**5/15 + 5*j**4/24 + j**3/2 - 95*j**2. What is the remainder when k(8) is divided by 11?
10
Calculate the remainder when 3522/5 - (16 - 42/(-350)*-130) is divided by 82.
48
Let x = 97 - -258. What is the remainder when x is divided by 7?
5
Let g(b) = 26*b**2 - 139*b + 98. Suppose 3*q = -3, -2*r + 9 = 3*q - 6. What is the remainder when g(5) is divided by r?
8
Calculate the remainder when 142 is divided by (-1*24/(-10))/((-100)/(-2750)).
10
Suppose 0 = 2*q - a + 20, 3*q + 4*a = -47 + 6. Let l(o) = -10*o - 2. Calculate the remainder when l(q) is divided by 29.
21
Let m = -28 + 66. Suppose -2*c + 2*n = -3*c + m, -5*c + 178 = 4*n. What is the remainder when c is divided by 12/13 - 1152/(-104)?
10
Suppose -21*x + 11100 = -18*x. Suppose -22*o + x = 15*o. Calculate the remainder when o is divided by 6.
4
Suppose 78 = t + h, 0 = 4*t + 5*h - 150 - 165. What is the remainder when (240 - (-7 - -12)) + (5 - (26 - 9)) is divided by t?
73
Let u(s) b