- x. What is the remainder when 133 is divided by b?
7
Let x = 5 - 1. Let h(y) = 24*y - 19. Calculate the remainder when h(x) is divided by 27.
23
Let z(y) = 33*y - 1000. What is the remainder when z(33) is divided by 56?
33
Let u be (-1 + 1/2)/((-54)/(-108)). Calculate the remainder when (43 + -99)*(u + (-10)/14) is divided by 25.
21
Suppose y + 25*y - 520 = 0. Let k(z) = -1 - 3*z - 3*z**2 - 53*z**3 + 32*z**3 + 2*z. Calculate the remainder when k(-2) is divided by y.
17
Suppose 34*z + 50 = 36*z. Suppose 0 = 5*u - z, -u = 14*d - 18*d + 95. Calculate the remainder when 72 is divided by d.
22
Let c be -18*(3 - (-7)/(-3)). Let z(u) = u + 23. Suppose 15*m - 542 + 62 = 0. What is the remainder when m is divided by z(c)?
10
Let k(i) = i**3 + 114*i**2 - 112*i + 354. Calculate the remainder when 34 is divided by k(-115).
7
What is the remainder when (-328)/(-6)*((-297)/(-44) + 6/4) is divided by 35?
31
Suppose 25*s - 3215 = -1172 + 1907. Calculate the remainder when s is divided by 10.
8
Let p(j) = j**2 + 15*j + 18. Suppose -41*l + 36*l + 255 = 0. Let g = l + -65. What is the remainder when 19 is divided by p(g)?
3
Let u = -86 + 74. Let a be ((-12)/(-9)*u)/((-3)/12). Suppose -3*c + 89 = k, 9*k - 12*k + a = 2*c. What is the remainder when 57 is divided by c?
28
Calculate the remainder when (-38844)/(-504) - (4/70)/(4/5) is divided by 57.
20
Suppose 3*w + 3*j = 252, 5*w - 515 = 4*j - 95. Calculate the remainder when 356 is divided by w.
20
Suppose 11919*v + 4*d = 11918*v - 9, -40 = -5*v - 3*d. What is the remainder when 579 is divided by v?
7
Let i(j) = -55*j - 2380. Calculate the remainder when i(-45) is divided by 66.
29
Let f(x) be the first derivative of -x**4/4 + 3*x**3 + 9*x**2/2 - 11*x - 17. Let p be f(9). What is the remainder when 13 is divided by 6/4*p/15?
6
Let g(x) = -3*x**3 - 22*x**2 - 10*x - 25. Let o be g(-6). Let a be (-1)/4 - 669/(-4). Let b = o + a. What is the remainder when b is divided by 12?
10
Suppose -25 = -13*q + 53. What is the remainder when (q/4)/(5 + (-2989)/602) is divided by 29?
14
Suppose -21*s = -11*s + 10*s - 6340. Calculate the remainder when s is divided by 27.
20
Let z = 25 + -19. Calculate the remainder when 69 + (1 - (-56)/(-8)) is divided by z.
3
Suppose -t + 266 = s + 205, -257 = -5*s + 3*t. Calculate the remainder when s is divided by 7.
6
Suppose j - 6*j + 10 + 35 = 0. Calculate the remainder when 509 is divided by j.
5
Suppose 0 = -2*c + 4*c - 26. Let w = 80 + -61. Suppose u = -i + 41, 5*i = w + 1. Calculate the remainder when u is divided by c.
11
What is the remainder when 174 is divided by 498/581 + 722/7?
70
Let d = 3863 + -3452. Calculate the remainder when d is divided by 59.
57
Suppose 265 = 2*j - 1589. Suppose -18*v = -27*v + j. Calculate the remainder when v is divided by 21.
19
Let q = -1442 - -1466. Suppose 3*j - h - 2*h = 9, 5*j + 2*h - 29 = 0. Suppose -3*v + j*v - 30 = 0. What is the remainder when q is divided by v?
9
Suppose 3*y + 4*v = -v + 140, -v - 152 = -3*y. What is the remainder when y is divided by (-8 - 2)*(-120)/48?
0
Let q be (-15)/((-300)/8) - (-4)/(-10). Suppose 4*j + q*j = 332. Let y(a) = 4*a**2 - 3*a - 1. Calculate the remainder when j is divided by y(-2).
20
Let u(a) = 19*a**3 - 2*a**2 + 13*a - 30. Calculate the remainder when u(2) is divided by 24.
20
Suppose -45*z + 48*z - 348 = -3*c, -5*c + 615 = -2*z. Calculate the remainder when c is divided by 78.
43
Let w be -1 + (1901/(-5) - (-8)/40). Let h = -285 - w. What is the remainder when 188 is divided by h?
92
Let o = 173 + -211. Calculate the remainder when 41 is divided by 25/2 - (-57)/o.
8
Suppose -2140*f + 2145*f = 1490. What is the remainder when f is divided by 51?
43
Suppose 0 = 9*v + 2 + 16. Let j(c) = -9*c**3 + c**2 - 4*c - 5. Calculate the remainder when j(v) is divided by 5.
4
Let t(o) be the third derivative of 1/24*o**4 - 15*o**2 + 0 + 1/10*o**5 + 1/6*o**3 - 1/120*o**6 + 0*o. Calculate the remainder when t(5) is divided by 17.
14
What is the remainder when 542 is divided by ((-1 - -2) + -21)*147/546*-13?
52
Suppose 61*d + 42 = c + 66*d, c + 3*d = 38. What is the remainder when -108*(3/(-2) + 1) is divided by c?
22
Let b(w) = w**3 + 14*w**2 - 4*w + 16. Let v(f) = -3*f**2 - 17*f - 24. Let k be v(-5). What is the remainder when b(k) is divided by 15?
12
Let x(t) = -27*t - 95. Let v be x(-4). Calculate the remainder when (-3 - 3) + v/((-52)/(-2448)) is divided by 68.
62
Suppose -123*y + 1530 = -113*y. What is the remainder when 454 is divided by y?
148
Let v = 91 + -88. Suppose -h + 122 = 5*p + 3*h, 0 = v*p + 5*h - 81. Let i(g) = g**2 + 3*g + 1. What is the remainder when i(5) is divided by p?
19
Suppose o - 42 = -3*k - 2*o, -9 = -k + 4*o. Let u be (-3 + 0)/(2 - 147/78). Let p = u - -76. Calculate the remainder when p is divided by k.
11
Let m = 43 + -37. Suppose 0 = -m*o - 9*o + 645. Suppose 12 = 3*b - 36. What is the remainder when o is divided by b?
11
Let g = -3150 - -3194. Calculate the remainder when 217 is divided by g.
41
Calculate the remainder when 8316 is divided by 2/21 + (-45980)/(-2310).
16
Let h = -28232 + 28272. Calculate the remainder when (117/4)/((-2)/(-8)) is divided by h.
37
Let i(q) = q**2 - 15*q + 88. Let u be i(6). Let p(n) = -n**3 - 8*n**2 + 4*n + 7. Let j be p(-8). Let w = j + u. Calculate the remainder when w is divided by 4.
1
Let w = -73 - -119. Let v = 111 - w. Suppose -q + 5*q = 68. Calculate the remainder when v is divided by q.
14
Suppose 2*n = -245 + 249. What is the remainder when 48 is divided by n/(-8) + 200/160?
0
Let i = -147 + 140. What is the remainder when (-11)/(4 - i) + 380 + -2 is divided by 38?
35
Let n be (-5)/15 - (-7)/(-42)*2542. Let p = n - -456. What is the remainder when 119 is divided by p?
23
Let p = 43 + -47. Let v(t) = t**2 + 2*t - 1. Let w be v(p). Suppose 0 = x + 1 - w. What is the remainder when 23 is divided by x?
5
Suppose -38*c + 48*c + 2100 = 0. Let o = c + 236. What is the remainder when 123 is divided by o?
19
Suppose -297 = -23*o - 44. Suppose 0 = -4*v + 43 - o. Calculate the remainder when 47 is divided by v.
7
Suppose 101*w - 2224 = -38*w. Calculate the remainder when 1025 is divided by w.
1
Calculate the remainder when (32/(-10))/(16 + (-61464)/3840) is divided by 99.
17
Let p(o) = -o**3 + 5*o**2 - 7*o + 11. Let u be p(5). Let m = u + 27. Suppose m*x - 3 = 0, x - 281 = -2*w + 2*x. What is the remainder when w is divided by 13?
11
Suppose -105 = 2*z + n, 4*z + 3*n = 101 - 308. Let g = -21 - z. Let a(w) = -45*w + 147. Calculate the remainder when g is divided by a(3).
9
Suppose -4*c = -2*l + 1460, 4*c = 2 + 6. Suppose -4*f + 2*t + l = -196, 5*t + 15 = 0. What is the remainder when f is divided by 20?
11
Let i be 69/24 + (-1 - 5)/(-48). Suppose 0 = 2*x - 7*p + 4*p - 61, p - 64 = -i*x. What is the remainder when 193 is divided by x?
9
Let t = 3262 + 1637. What is the remainder when t is divided by 196?
195
Let g = -471 + 1021. Suppose 0 = -15*u + 80 + g. Calculate the remainder when 164 is divided by u.
38
Let w = 1342 - 3274. Let i be w/28 - (-1*1 + 0). Let a = i - -155. Calculate the remainder when a is divided by 13.
9
Suppose 20*k - 28 - 12 = 0. Suppose 3*d + 3*t + 42 = 8*d, t = -d + k. What is the remainder when 28 is divided by d?
4
Let l = -118 + 57. What is the remainder when 4/(-4) - (l + -1) is divided by 13 + 21*102/119?
30
Suppose 1275 = b + d, 2*d - 608 = -5*b + 5779. What is the remainder when b is divided by 61?
59
Let d be ((-152)/6)/(10/30). Let l = 80 + d. Suppose l*u - 3*u = 18. Calculate the remainder when 50 is divided by u.
14
Let y(a) = a**3 + 9*a**2 - 4*a - 13. Calculate the remainder when y(-4) is divided by (-36)/7*21/(-3).
11
Let g = 392 - 141. Let m = 796 - g. Suppose -2*a + d + m = 2*a, 5*d + 25 = 0. Calculate the remainder when a is divided by 34.
33
Let t(b) = -b**2 + 31*b + 157. What is the remainder when 373 is divided by t(32)?
123
What is the remainder when (-11389)/(-3)*(-942)/(-1099) is divided by 105?
104
Suppose 4*g - 65 = -g. Suppose 9*n - 6559 = -3224 - 3119. What is the remainder when n is divided by g?
11
Let a = 297 - 277. Calculate the remainder when 158 is divided by a/((0 + 4 - 3)/2).
38
Let z(s) = -3*s**3 - 22*s**2 + 9*s + 40. Calculate the remainder when z(-10) is divided by 122.
18
Let f = 273 + -200. Wh