e (-189)/17 - (-7)/(595/10). Let t(o) = 5*o + 68. What is the remainder when 13 is divided by t(w)?
0
Let r(v) = 2*v**3 + 28*v**2 + 22*v - 18. Let c be ((-30)/(-45))/((-2)/39). Suppose -3*a + 39 = -162. Calculate the remainder when a is divided by r(c).
33
Let m = 529 - 528. Calculate the remainder when 20 is divided by (6 - (-36)/3) + m.
1
Suppose n - 14 = 24. Suppose 0 = -b - 5*u - 22, -4*u + 15 = -b + n. Suppose 0 = b*d - 11 - 70. Calculate the remainder when 107 is divided by d.
26
Let a = -97 + 103. Suppose 5*c - i + 37 = a*c, -4 = i. What is the remainder when c is divided by 16?
9
Let t = 3529 + -3511. Calculate the remainder when 328 is divided by t.
4
Let c(k) = 7*k**2 - 87*k + 1088. What is the remainder when c(17) is divided by 815?
2
Let f(q) = q**3 + 7*q**2 - 8*q + 4. What is the remainder when f(-6) is divided by (18/(-5) + 0)*85/(-17)?
16
Suppose m - 4*m + 399 = 0. Suppose 4*h = 5*i - 20, i - 69 + 23 = 5*h. Let f(u) = -u**2 - 6*u + 55. What is the remainder when m is divided by f(h)?
13
Suppose 3*x = 676 + 23. Let w = x + -144. Suppose w = 6*z - 13. What is the remainder when z is divided by 5?
2
What is the remainder when 1 - ((-16)/12 - 38137/33) is divided by 25?
8
Suppose -5*s + 804 + 831 = 0. Let a = 43872 + -43831. Calculate the remainder when s is divided by a.
40
What is the remainder when (-95 - 0)*4/(-10) is divided by 0 - ((-1984)/192 + 30/9)?
3
Let c(b) = -b**2 - 94*b - 322. Calculate the remainder when c(-5) is divided by 43.
37
Let i be -2 - (1/2)/((-1)/12). Suppose -i*b + 271 = -141. What is the remainder when b is divided by 35?
33
What is the remainder when (1130444/(-56))/47*(-8)/2 is divided by 41?
37
Let g be ((18/4)/(-3))/(3/64). Let k = g - -36. Suppose -t - 256 = -k*d, 4*t - 3*t = -d + 59. What is the remainder when d is divided by 13?
11
Let c = 156 - 154. Suppose 2*v + v - h = 158, -5*v = c*h - 245. What is the remainder when 194 is divided by v?
41
Let w = -833 - -888. What is the remainder when w is divided by 6/(-14) - 404/(-28)?
13
Let q = 903 - 901. Suppose -7*l - 714 = -11*l + q*n, -2*l = 5*n - 363. Calculate the remainder when l is divided by 30.
29
Let m(k) = k**3 + 6*k**2 + k + 6. Let c be m(-6). Let j be -3 - c - 0/(-3). Let h = j - -38. What is the remainder when 138 is divided by h?
33
Suppose -v + 5*n - 213 = 3*v, 0 = -3*v - 3*n - 153. Let p = v - -38. Let z(w) = -w**3 - 13*w**2 + 9*w + 21. Calculate the remainder when z(p) is divided by 31.
29
Suppose 306 = -17*m - 0*m. Let f(l) = l**2 - 3*l + 5. Calculate the remainder when -3*(3/m)/(6/876) is divided by f(3).
3
Suppose -70*i + 195 = -65*i. Suppose 3*w - 5*k - 759 = 0, 5*w + k + i = 1276. What is the remainder when w is divided by 28?
24
Let q(o) = -3*o**2 + 81*o - 29. Calculate the remainder when q(21) is divided by 53.
31
Suppose -5*t = 410 + 260. Let s = t - -832. What is the remainder when s is divided by 14?
12
Let h(p) be the second derivative of -p**4/12 - 5*p**3/3 + 7*p**2 + 42*p. Let k be h(-11). What is the remainder when (k - (-8 - 0))/1 is divided by 5?
1
Let k(r) = 9*r**2 - r - 1. Let n be k(-1). Suppose 2*h + 11 = q - 0*h, 0 = -3*q + 4*h + 35. What is the remainder when -3*(-105)/n*1 is divided by q?
9
Suppose g + 96 = 939. Let m = g + -830. Suppose 0*n = 3*o + 3*n - 57, -3*n = 6. Calculate the remainder when o is divided by m.
8
Suppose -4*i - i + 32 = 4*j, 3*j + 3*i - 24 = 0. Let d = 85 + -81. Suppose 2*a - q - 41 = 38, -4*q = d. Calculate the remainder when a is divided by j.
7
Suppose -49 = -w - 49. Suppose w = 43*j - 685 - 519. Suppose -2*l + 0*l + 146 = -g, 214 = 3*l + g. Calculate the remainder when l is divided by j.
16
Suppose 4*z + 133 - 209 = 0. Let q(w) = -w**2 + 33*w - 237. What is the remainder when q(z) is divided by 10?
9
Let d = 2460 + -2438. Let y = 111 - 68. Calculate the remainder when y is divided by d.
21
Let k = -263 + 170. Let d = k + 219. What is the remainder when d is divided by 27?
18
Suppose -78*z + 1306 = 5*r - 81*z, 2*z = -3*r + 776. What is the remainder when r is divided by 78?
26
Suppose 0 = -4*h + 5*o + 1652, -414 = -h - o + 8. Suppose 0 = -3*s + w + 35 + 87, 0 = -5*s + 5*w + 190. What is the remainder when h is divided by s?
40
Suppose 26753 = 28*w - 29219. What is the remainder when w is divided by 77?
74
Let l be (-8)/(-14)*(-147)/(-42). Calculate the remainder when 271 is divided by ((-52)/12 - -4)/(l/(-204)).
33
Let k(g) = 4*g**2 + 2*g - 3. Suppose a + d + 20 = 0, 42 + 23 = -4*a - d. What is the remainder when k(1) is divided by a*5/50*-2?
0
Let s be (3 + (-32)/12)/(5/30). Calculate the remainder when 11 is divided by (-15)/(-6) + 1 + 1/s.
3
Suppose 10284 = -59*d + 13588. Calculate the remainder when 1151 is divided by d.
31
Let c be 8/2 + (16337 - -3). Suppose -8*z - c = -44*z. Calculate the remainder when z is divided by 19.
17
What is the remainder when 348 is divided by (2382/17 - 7) + 4/(-102)*3?
82
Let f = 21 - 10. What is the remainder when (-6 + -1)/(-7)*-1*(-66 + 25) is divided by f?
8
Let x(k) = 4*k - 24. Let j(o) = -o**3 - 24*o**2 - o - 15. Let q be j(-24). Let u be x(q). Let f = 38 - u. What is the remainder when 43 is divided by f?
17
Suppose 67*y - 7593 = 6268 - 4548. Calculate the remainder when 2501 is divided by y.
138
Let s(d) be the third derivative of d**4/24 + 17*d**3/6 + 7*d**2. What is the remainder when s(8) is divided by 39*(-6 + 114/18)?
12
Suppose -n + 5*n - 68 = 0. Suppose 2 = -346*u + 344*u + b, -5*u + 4*b - 2 = 0. What is the remainder when 28 is divided by n + u + 4 + -1?
10
Let f be (-54)/(-36) - 5/(10/3). Suppose -r = -2*l + 31, f = -0*r + 5*r - 15. What is the remainder when 253 is divided by l?
15
Suppose 35*t - 41*t = 2202. Let z = t - -377. What is the remainder when 28 is divided by z?
8
Suppose 3*i - 1282 = -2*f, -48*i + 53*i = -f + 2118. What is the remainder when i is divided by 15?
2
Calculate the remainder when 2836/44 - (-1310)/(-2882) is divided by ((-2)/(-5))/(1/30).
4
Suppose 8*b - 31 = 25. Suppose 2*q + b - 93 = -2*z, -3*z + 115 = -4*q. Suppose k = -0*k + 7. Calculate the remainder when z is divided by k.
6
Suppose 4*z = a - 108, 3*a - 1677*z + 1680*z = 414. What is the remainder when 649 is divided by a?
121
Let b = 743 - 413. Let v = -56 - -98. What is the remainder when v is divided by b/21 + 14/49?
10
Let g(t) = -t**3 + 2*t - 1. Let z be g(1). Suppose b = 0, -4*q + q - b + 390 = z. Calculate the remainder when q is divided by 6.
4
Suppose 0 = 583*n - 591*n. Suppose n = -31*v + 323 + 452. Suppose -5*u = 5, 2*h + 11 = u + 24. Calculate the remainder when v is divided by h.
1
Suppose 0 = 7*b - 22 - 90. Let c = -10 + b. Suppose 8 + 4 = -3*f, -4*f - 28 = -4*h. Calculate the remainder when c is divided by h.
0
Suppose 2*w = 0, -8*n - 2*w = -4*n - 8. Calculate the remainder when 40 - ((-44)/8 + 3/n) is divided by 23.
21
Suppose 3*o + 20 = j + 3*j, 2*j - 10 = -2*o. Suppose o = -u + k + 3, 0*u + u - 4*k - 15 = 0. Calculate the remainder when 79 is divided by u/((-260)/85 - -3).
11
Suppose -8097 = -11*w + 4333. Suppose -31 = -c + 4*g + 543, 2*c + g - w = 0. Calculate the remainder when c is divided by 95.
91
Let v = -13701 + 13933. What is the remainder when 4171 is divided by v?
227
Suppose 391*a - 491136 = 830053. Calculate the remainder when a is divided by 121.
112
Let k = 158 - 158. Calculate the remainder when (79 - 6 - -4) + k is divided by 40.
37
Let y = -79 + 86. Let f(n) = -n + 33. What is the remainder when f(y) is divided by 5?
1
Suppose 2*f - 18 = -2*d, f + 15 = 2*d + 2*f. Suppose m = d*m - 100. Calculate the remainder when (5/(45/51))/((-1)/(-6)) is divided by m.
14
Let k be 29/58*(-1 + 1215/1). Let j = k + -566. What is the remainder when j is divided by 25?
16
Let q(u) = 4*u - 3. Calculate the remainder when ((-12080)/906)/(4/(-18)) is divided by q(5).
9
What is the remainder when 479 is divided by 6/4*(-32 + 25 - (-89)/3)?
3
Let z = 194 - 193. Let a = -382 + 565. Calculate the remainder when a is divided by -1 + 66/2 - z.
28
Let a(m) = 769*m + 14624. Suppose 0 = -2*f + 6*f - 460. Calculate the remainder when f is divided by a(-19).
11
Let k(h) = -4*h - 82. Let v be k(-20). Calculate the remainder when 151 is divided by v/5 - 72/20 - -15.
8
Suppose 38 = c + 43. Calculate the remainder when 176 is divided by (8/c)/(8/20) + 49