e 4/(-28) + 0 - 1720/(-35). Calculate the remainder when x + (6 - (7 - 1)) is divided by 30.
19
Let s = -883 + 501. Let r = 491 + s. What is the remainder when r is divided by 37?
35
Suppose -46*f + 49085 + 40569 = 0. What is the remainder when f is divided by 25?
24
Suppose 5*h + 4*n + 0*n + 6 = 0, 4*h + 3*n + 4 = 0. Let v(k) = -3*k - 1. Calculate the remainder when 5/h*(-156)/(-10) is divided by v(-4).
6
Suppose 199*t - 129 = 213*t - 255. Suppose -1426 = -4*r + 3*f, 0*f = r - 5*f - 348. Calculate the remainder when r is divided by t.
7
Let f = 17367 - 15203. Calculate the remainder when f is divided by 22.
8
Let k(y) = -9*y - 7. Let o be k(-1). Suppose -o*a = -17 - 65. Calculate the remainder when 163 is divided by a.
40
Let y(w) = -22*w - 7. Let g be y(-3). Suppose 3*o + 146 + 4 = 0. Let l = g + o. What is the remainder when 25 is divided by l?
7
Suppose 0*b + 3 = b + q, 2*b = q + 18. Let l be -2 - 151/9 - 6/27. Let i = 51 + l. Calculate the remainder when i is divided by b.
4
Suppose 0 = 7*g + 1 - 106. What is the remainder when 98 is divided by 52/3 + g/(-45)?
13
What is the remainder when (-27 + 951/2)*(-1 - (-5)/3) is divided by 82?
53
Suppose -6218 = -23*u + 3879. Let d = u - 314. What is the remainder when d is divided by 26?
21
Let u = 59 + -55. Suppose 3*k - 2 + 8 = 0, 0 = 3*x + 4*k - 478. Calculate the remainder when u/(-20) - x/(-10) is divided by 5.
1
Suppose -3*x + 31 = -2*i + 93, i = -x + 36. Suppose -8*u = 754 + 70. Let y = 272 + u. What is the remainder when y is divided by i?
33
Let u = 11127 + -10915. What is the remainder when u is divided by 70?
2
Suppose -v - 5*x = -45, -5*v = 3*x - 153 - 72. What is the remainder when 4/((-8)/10) + (19 - -164) is divided by v?
43
Let b = 179 + -177. Let x(k) = k + 21. Let t be x(0). Suppose b*p - 5*p + t = 0. What is the remainder when 21 is divided by p?
0
Let y be 0*(4 - (110/15 - 3)). Suppose -4*d - 24 + 252 = y. Calculate the remainder when 165 is divided by d.
51
Let g(p) = 4*p**2 - 10*p - 11. Let l(z) = -z**2 + 4*z - 1. Let v(i) = g(i) + 2*l(i). What is the remainder when v(11) is divided by 104?
103
Suppose 2*j = -q - 18, -2*j = 3*q - 8*q - 54. Calculate the remainder when (86/4)/(q/(-72)) is divided by 44.
41
Let m(o) = 514*o - 5652. What is the remainder when 130 is divided by m(11)?
0
Suppose -o + 3*q = 10, -o + q = 3*o - 4. Suppose -5*s = -5*n + n + 202, -s = -o. Calculate the remainder when n is divided by 27/(2 - ((-2 - -1) + 2)).
26
Suppose -5*o = -11*o + o + 225. What is the remainder when 375 is divided by o?
15
Suppose h = 117 + 75. What is the remainder when h is divided by 5?
2
Let u(p) = p**3 - 5*p**2 - 3*p + 6. Let o be (1 - -1)/(-7 - 160/(-24)). Let w = 171 + o. Calculate the remainder when w is divided by u(6).
21
Let p(w) = -w**3 + 27*w**2 + 25*w - 20. Let z be p(28). Let m = z - -110. What is the remainder when 19 is divided by m?
1
Let h(m) = m**2 - 3*m - 1. Let z be h(5). What is the remainder when 43 is divided by (63/(-12) + 0)/(z/(-60))?
8
Let x be (14 + -11)*((-7)/(-1) + 2). What is the remainder when 101 is divided by ((-54)/(-45))/((-18)/(-20))*x?
29
What is the remainder when 536/(-64) + ((-333)/72 - -5) - -39 is divided by 8?
7
Let l(n) be the second derivative of 0 - 2*n**3 - 7/12*n**4 - 10*n - 1/20*n**5 - 3/2*n**2. What is the remainder when l(-6) is divided by 7?
5
Suppose -p = 5*y + 15, -6*y + 3*y = -2*p + 35. Let o(w) = w**3 - 11*w**2 + 10*w + 25. What is the remainder when o(p) is divided by 8?
1
Suppose -165*a = -143*a - 3586. What is the remainder when a is divided by 12?
7
Suppose -269*a + 111593 + 60368 = -24678. What is the remainder when a is divided by 32?
27
Let w = -20056 + 20060. What is the remainder when 20 is divided by w?
0
Let u(n) be the second derivative of 17/6*n**3 - 13/2*n**2 + 14*n + 0. What is the remainder when u(7) is divided by 12?
10
Let a(n) = 7267*n + 14550. Suppose 6*s = 3*s + 1050. What is the remainder when s is divided by a(-2)?
14
Calculate the remainder when 292 is divided by (-39)/(50 + 28) - (-102)/4.
17
Let w(c) = 2*c**3 - 24*c**2 + 22*c + 10. Calculate the remainder when (-122)/(-4)*2 - 3 is divided by w(11).
8
Suppose -m + 118 = i + 92, -2*m + 100 = 4*i. Calculate the remainder when 6518 is divided by i.
14
Suppose 6*u = -9 + 51. Let q = -13 - 0. Let a = q + 15. Calculate the remainder when u is divided by a.
1
Let h(d) = 6*d**2 + 20*d + 49. Suppose -6*l + 4*b - 58 = 0, 8*l - 4*l = -5*b - 31. Calculate the remainder when h(l) is divided by 45.
40
Suppose 5578*r - 2250 = 5568*r. What is the remainder when r is divided by 59?
48
Let x(v) = -198*v - 4652. What is the remainder when 786 is divided by x(-24)?
86
Suppose 32*u - 6*u = 76*u - 2000. What is the remainder when 423 is divided by u?
23
Let z(n) = 6*n**3 + n**2 - 3*n - 5. Suppose -l - 5*l = -30. Calculate the remainder when z(l) is divided by 63.
62
Let h = 15693 + -13604. What is the remainder when h is divided by 209?
208
Suppose 6*y - 1284 = -10*y + 3564. What is the remainder when y is divided by 61?
59
Let n = -1113 + 6445. Calculate the remainder when n is divided by 20.
12
Let f = 8 - 9. Let y be 3/((-8)/(-5) + f). Suppose -84 = -y*v + 4*o + 12, -2*o - 40 = -2*v. Calculate the remainder when 47 is divided by v.
15
Let a be (-50)/15*(12/(-4) - -6). Let s = -133 - -199. Calculate the remainder when s is divided by (-3)/((a + 8)/(68/6)).
15
Let c(s) = -s**2 - 6*s + 1. Let g be c(-5). Suppose -5*f = 0, 3*h + 55*f - 52*f = 75. Calculate the remainder when g/(-9) - 748/(-6) is divided by h.
24
Let s be (2/(-4))/(1/(-26)). Suppose f - 2*w = w - s, 5*w = -3*f + 3. Let h(x) = -x**3 - 3*x**2 + 3*x + 9. What is the remainder when 50 is divided by h(f)?
11
Suppose -35*n + 15286 + 9354 = 0. What is the remainder when n is divided by 234?
2
Suppose 0 = 4*c - 1038 - 498. Suppose -2*n = 5*d - c, 0 = 3*d - 0*n - 5*n - 249. Suppose m = 7*m - d. Calculate the remainder when m is divided by 5.
3
Let s = -4986 - -4987. Suppose -m - 4*r = -1 + 2, -2*m - 4*r + 6 = 0. Let w = m - 1. Calculate the remainder when w is divided by s.
0
Let j be (-3)/(-4)*(8 + 0). Let d = 69 - 34. Suppose -f = -j*p + p + 62, -2*p = 3*f - d. Calculate the remainder when 46 is divided by p.
7
Suppose 0 = 3*d - 72 - 147. Let t = d + -36. Suppose -6*j - r + 19 = -4*j, j = 5*r + t. What is the remainder when 25 is divided by j?
1
Let d = -111 + 125. Let t = d - -137. What is the remainder when t is divided by 39?
34
Let d(n) = 4*n. Let c = -95324 + 95356. What is the remainder when c is divided by d(3)?
8
Let w = 12008 + -11990. What is the remainder when 135 is divided by w?
9
Let h(x) = -x**2 + 8*x + 2. Let m(u) be the first derivative of 35*u**4/4 + u**3/3 - u + 25. What is the remainder when m(1) is divided by h(4)?
17
Suppose 1099 = -7*b + 1127. Calculate the remainder when 133 is divided by 3 - -9 - b - -26.
31
Let b(g) = 2*g**2 - 19*g + 61. Let s = 42 - 8. Calculate the remainder when b(12) is divided by s.
19
Let a = -56 - -98. Suppose -47*t + 10 = -a*t. Calculate the remainder when (-1011)/(-15) - (0 + t/5) is divided by 10.
7
Suppose -2*n + 4 = -6. Suppose -4*g + 5*o + 40 = g, -g + n*o + 24 = 0. Let c = 9936 - 9932. What is the remainder when c is divided by g?
0
Suppose -58*k + 53*k = -480. Let r = 195 - k. Calculate the remainder when r is divided by 34.
31
Suppose -5*w - 3*r - r + 51 = 0, -4*w + 44 = 4*r. Calculate the remainder when 122 is divided by w.
3
Suppose w + 6 = 4*w. Suppose -3*i = -l - 32, -16 = -4*i + 2*i + w*l. What is the remainder when (-62)/(-4)*(0 - -2) is divided by i?
7
Suppose j + 2*l = 1942, -5*j - 67*l + 9557 = -74*l. What is the remainder when j is divided by 632?
28
Let z(r) = -r**3 - 153*r**2 - 5099*r - 20. Calculate the remainder when 391 is divided by z(-49).
10
What is the remainder when ((-31354)/(-4) - 0) + 46 + 285/(-6) is divided by 16?
13
Suppose 2*k - 54 = -5*f, 5*k - 2 - 95 = -3*f. Suppose -5*p + 40 = w - 31, -6*w - 5*p = -351. Calculate the remainder when w is divided by k.
5
Suppose 0 = -3*q + 5*f + 322, -126*q + 131*q + 5*f - 430 = 0. What is the remainder when 1140 is divided by q?
12
Let x be 1/(2 - -1) + 56/(-24). Let h(b) = -2*b**3 + 3*b**2 + 5*b + 1. Let o = 150 - 78. What is the remainder when o is divided by h(x)?
15
Suppose j - 52 = -