 3*t = -27, -3*d + 67 = -5*t. What is the remainder when 332 is divided by d?
10
Let d(u) = 72*u + 85. Let b(q) = 39*q + 43. Let r(y) = 11*b(y) - 6*d(y). Let g = 22 - 37. What is the remainder when 13 is divided by r(g)?
5
Suppose -175*z = 89*z - 38*z - 9944. Suppose 4*m - 13 - 3 = 4*k, -5*m + 3*k + 16 = 0. What is the remainder when z is divided by (23/m)/((-4)/(-8))?
21
Let t(s) = -13*s**2 - 3*s. Let n be t(-3). Calculate the remainder when 126 + 190 + -65 + -63 is divided by (4/3)/((-3)/n).
44
Suppose -3*r - 5*d = -8*r + 830, 4*r - 5*d - 664 = 0. Suppose -4*o = 2*o + 6. What is the remainder when r is divided by -2 + 0/4 - (o + -13)?
10
Suppose -c = -2*c + 10. Suppose -355*n - 312*n + 1188 = -623*n. Calculate the remainder when n is divided by c.
7
Let m(d) be the third derivative of d**5/60 + d**4/8 - d**3/2 - 6*d**2. Let h be m(-4). Calculate the remainder when (-112 + h)/(-3) - -3 is divided by 11.
7
Let f(y) = -2*y**2 - 33*y - 44. Let a = -95 - -82. Calculate the remainder when 234 is divided by f(a).
46
Let w = -544 + 549. Suppose n + 4*j - 137 = 0, -3*n - 274 = -w*n - 4*j. What is the remainder when n is divided by 6?
5
Let q(p) = -58*p + 1850. Let w = -353 - -555. What is the remainder when w is divided by q(31)?
46
Let z = -1713 + 1917. What is the remainder when z is divided by 198?
6
Let a = 8246 - 7298. What is the remainder when a is divided by 131?
31
What is the remainder when 1366 is divided by ((-6)/8*(-454)/6)/((-304)/(-1216))?
4
Suppose 4*s - 232 = -3*p, 5*s + 5*p - 87 = 203. Let z = 95 - 85. Calculate the remainder when s is divided by z.
8
Suppose -3*n - 5*d + 1819 = 0, -2510 = -5*n + 2*d + 501. Let r = n + -419. Calculate the remainder when r is divided by 38.
32
Let h(p) = p**3 + 17*p**2 - 26*p - 45. What is the remainder when h(-14) is divided by 183?
175
Suppose -2*a - 4*t = -5*a - 25, -5*a = 2*t + 7. Let l be ((-20)/8)/5*(12 + -14). Calculate the remainder when 25/l + (-2)/(-1) + a is divided by 14.
10
Suppose -4*d + k = -15, 3*d + 2*k + 6 = 5*d. Suppose 5*m - d*q = 35, 2*q + 3*q = 25. What is the remainder when 42 is divided by m?
9
Suppose -2644*l + 2634*l + 8680 = 0. What is the remainder when l is divided by 9?
4
Let s(w) = 83*w - 93. Calculate the remainder when 213 is divided by s(2).
67
Suppose 839 = 5*c - 56. Let t = -141 + c. Let v = 12 - 2. Calculate the remainder when t is divided by v.
8
Let x(v) = -95*v - 2369. Calculate the remainder when x(-56) is divided by 123.
122
Let x(y) = 28*y + 5. Suppose -a + 2*s + 81 = 0, -4*s + 106 = 5*a - 215. Calculate the remainder when x(7) is divided by a.
63
Let b = 190 - 87. Suppose -2*v + 2*t = 0, 3*v + 2*t = 4*v + 5. Suppose 5*j = m + 135, -5*j - v*m + 134 = 29. Calculate the remainder when b is divided by j.
25
What is the remainder when 6629 is divided by -1*((-40807)/803 - (-2)/(-11))?
50
Suppose 0*y - 36 = 4*y. Calculate the remainder when (-1)/(-3) - 69/y is divided by (-686)/(-91) - (-36)/78.
0
Let q = -15391 + 15491. Calculate the remainder when 597 is divided by q.
97
Suppose 3*t = 6*t - 9. Let l be ((-5)/(-15))/(1/t)*5. Let b(k) = k**2 + k - 10. What is the remainder when b(l) is divided by 6?
2
Suppose 15 = 3*o + 6. Suppose -8 = -3*a - o*k + 10, -2*k + 4 = 0. Suppose q = 5*b - 115, 68 = 2*b + 2*b + a*q. Calculate the remainder when 61 is divided by b.
17
Suppose -100 = 30*q - 40*q. Suppose -s + 66 - q = 0. What is the remainder when s is divided by 13?
4
Let k(a) = 3*a**2 + 26*a - 6. Let z be 0/(5 + 0) + -9. Calculate the remainder when (-553)/(-63) - (-4)/18 is divided by k(z).
0
Let c(b) = -81*b + 243. Let l be c(-7). Suppose -134*p + l = -124*p. What is the remainder when p is divided by 72?
9
Suppose 4*v = 2*v - n - 34, -2*v + 2*n - 28 = 0. Let b(i) = -20*i - 11. Calculate the remainder when b(v) is divided by 45.
39
Suppose -81*d + 1013 = -1579. Calculate the remainder when 2974 is divided by d.
30
Calculate the remainder when 186 is divided by ((-371)/(-159))/((-35)/(-1635)).
77
Let h(u) = 176*u - 152. Let z = -150 + 283. What is the remainder when z is divided by h(1)?
13
Let h be (-5 - (-114)/30)*-5. Suppose -150 = -h*w + 30. Suppose 0*t + 32 = 4*t. What is the remainder when w is divided by t?
6
Suppose 2*c + 4*r - 50 = 5*c, 4*c - 2*r + 60 = 0. Let a = 102 + c. Let q = -60 - -90. Calculate the remainder when a is divided by q.
28
What is the remainder when (2 - 1)*8/(-40)*-835 is divided by 4*(45/(-5) + 12)?
11
Suppose 6883 = 3*p + 5*g, 6887 = -14*p + 17*p + 4*g. What is the remainder when p is divided by 47?
45
Let u(j) = 227*j + 2518. What is the remainder when 439 is divided by u(-10)?
191
Let f = -30637 + 39576. What is the remainder when f is divided by 12?
11
Suppose 54*p - 36 = 63*p. Calculate the remainder when (-1042)/p + (14/7)/4 is divided by 24.
21
Let y(b) = -b**3 + 4*b**2 - 12. Let q be y(7). Let t = q + 187. Suppose 3*i = 2*i + 10. Calculate the remainder when t is divided by i.
8
Let l be 26657/46 + -6*3/(-12). Let z = -518 + l. Calculate the remainder when 141 is divided by z.
15
Calculate the remainder when (-4160)/(-2) - (-90)/(-57 - -67) is divided by 55.
54
Let t(f) = 306*f**2 - 57*f - 2. What is the remainder when t(-4) is divided by 61?
59
Suppose k + s = 269, -2*k - s = -135 - 403. Calculate the remainder when 831 is divided by k.
24
Suppose 110*g - 2*t = 111*g - 5187, 3*g - 4*t - 15551 = 0. What is the remainder when g is divided by 3?
1
Suppose -5*s - 5*v - 14 = 1, 0 = -s - 2*v - 6. Suppose s*m + 162 = 6*m. Let u(a) = a + 4. Calculate the remainder when m is divided by u(3).
6
Let l(n) = 2*n**2 + 2*n + 3. Suppose 290 = 6*a - 148. Suppose -3*z = -h + 73 - 180, -2*z + h + a = 0. What is the remainder when z is divided by l(-2)?
6
Suppose 0 = -65*r + 9*r + 240240. What is the remainder when r is divided by 9?
6
Let n = -33 + 52. What is the remainder when (1143 - -17 - (4 - 0))/(0 - -1) is divided by n?
16
Suppose 98 + 58 = 3*h + 2*q, 0 = -3*h + 5*q + 93. Suppose 2*l + 2*l - 588 = 0. Calculate the remainder when l is divided by h.
9
Let z(y) = 3*y**2 - 3*y - 3. Let r be z(2). What is the remainder when ((-4)/6)/(r/(3 + -336)) is divided by 19?
17
Let k = -361 + 363. What is the remainder when 23*11/33*126/k is divided by 81?
78
Let q = -824 + 1596. Suppose q = -0*f + 4*f. Suppose -812*p + 810*p = -78. What is the remainder when f is divided by p?
37
Let w be (-3 + -2)/((-3 - -4)*-1). Suppose -w = -4*s + 167. Suppose 2*n + 0*n - 46 = 0. Calculate the remainder when s is divided by n.
20
Let u be (-15)/20*4 - -3. Suppose u*r - 40 = -5*q + 5*r, -q + 10 = -3*r. What is the remainder when q is divided by 5?
2
What is the remainder when 15/5 - (876/(-3))/2 is divided by 5?
4
Suppose -3*w - j + 121 = 0, 0*w - 4*j = -3*w + 86. Let z(q) = -q**2 + 8*q + 1. What is the remainder when w is divided by z(6)?
12
Suppose 6 = 10*n - 13*n. Calculate the remainder when 146 is divided by -5*-3*13/5 + n.
35
Let s = -1 + 9. Let p(m) = 7*m - 1. Let n be p(s). Suppose -6*b = -b - n. What is the remainder when 42 is divided by b?
9
Suppose 5*u - 32 - 48 = 0. Suppose -12 = 12*d - 8*d. Let z(r) = -3*r**3 - r**2 - 2*r + 1. What is the remainder when z(d) is divided by u?
15
Suppose 219 = 2*z - p, 38*p + 71 = z + 43*p. Calculate the remainder when 331 is divided by z.
13
Suppose 13*z + 26 = 299. Let h(w) = -182*w + 582. Calculate the remainder when h(3) is divided by z.
15
Let u(w) = w**2 - 219*w + 4403. What is the remainder when u(22) is divided by 53?
16
Let j = 51 + -39. Let d be 13510/(-84) + (-2)/j. Let n = -42 - d. Calculate the remainder when n is divided by 40.
39
Let j = -10 + 13. Suppose 0 = 5*k - x + 61 + 64, -5*x + 97 = -j*k. Let p = k + 34. Calculate the remainder when 38 is divided by p.
8
Let u(p) = -5*p - 36. Let s be u(-15). Let y = 126 - 72. Let g = y - s. What is the remainder when 69 is divided by g?
9
Suppose -285480 = -97*y - 59*y. What is the remainder when y is divided by 265?
240
Let t(f) = f**2 + 12*f + 15. Let m be t(-11). Suppose -136 - 96 = -4*h - v, 0 = m*v. What is the remainder when 171 is divided by h?
55
Let q(a) = 187*a**3 - 5*a**2 + 24*a - 10. What is the remainder when q(2) is divided by 16?
10
What is the remainder when 8249 is divided by (-42)/6 + 29*(-5)/(-15)*3?
21
Suppose 2413 = 87*w - 4634. Calculate the 