when t is divided by 83.
45
Suppose 8*t = 4*u + 10*t - 5016, 4*u - 5004 = 4*t. Calculate the remainder when u is divided by 38.
37
Let y = 665 - -530. Calculate the remainder when y is divided by 57.
55
Let n = -8558 - -9686. Calculate the remainder when n is divided by 92.
24
What is the remainder when 1547 is divided by 252/546 + (-3220)/(-65)?
47
Suppose -1381 = -2*n - k, n - 278*k - 718 = -273*k. Calculate the remainder when n is divided by 58.
55
Let y = 57 + -38. Let j(t) = 13*t + 1405. Calculate the remainder when j(-101) is divided by y.
16
Suppose 0 = -188*k + 226*k - 3990. Calculate the remainder when k is divided by 88.
17
Let z = 3366 + -3032. What is the remainder when z is divided by 28?
26
Let p = 25916 - 25750. What is the remainder when 212 is divided by p?
46
Suppose -18*p = 12*p - 390. Calculate the remainder when 23 is divided by (2 - (-8)/(-4) - 6) + p.
2
Suppose 19*h - 5*h - 4756 = 312. What is the remainder when h is divided by 69?
17
Let r = 6076 - 6042. Calculate the remainder when 310 is divided by r.
4
Let x(u) = 2*u**2 + 51*u - 150. What is the remainder when 69 is divided by x(3)?
6
Suppose 95 + 149 = 111*v - 2087. What is the remainder when v is divided by 4?
1
Let t(z) = 6*z - 233. Let s(l) = -2*l + 78. Let w(g) = -8*s(g) - 3*t(g). Calculate the remainder when w(5) is divided by 11.
10
Let v(f) be the first derivative of -3*f**2/2 - 123*f - 266. Calculate the remainder when 249 is divided by v(-44).
6
Let f be (0 - -80)*38/(-76). Calculate the remainder when -9 - f - (2 + -8) is divided by 3.
1
Suppose -4*a - 685 - 28 = -27*a. What is the remainder when 1/(-3) + 615/9 is divided by a?
6
Suppose 3*y + 684*d = 687*d + 144, 4*y = -2*d + 240. Calculate the remainder when 680 is divided by y.
8
Let a(i) = -i**2 + 129*i - 3894. Calculate the remainder when 862 is divided by a(49).
4
Let z(i) = i**3 + 6*i**2 + 6*i - 14. Let r(o) = o**3 + o + 1. Let j(v) = -2*r(v) + z(v). What is the remainder when 22 is divided by j(6)?
6
Let d be 378/(-162) - (-25)/3. Suppose -d*s + 2*s - 20 = 0, 2*s - 20 = -3*a. Calculate the remainder when 16 is divided by a.
6
Suppose -4*s = 4*t - 3512, 93*t + 4414 = 5*s + 92*t. What is the remainder when s is divided by 42?
0
Let s = 3101 + -3063. Calculate the remainder when 473 is divided by s.
17
Let d(q) = 78*q + 201. Let w be d(23). Suppose -28*o + w = 29*o. Calculate the remainder when 419 is divided by o.
34
Let v be (80 + 1)/(3/(-2)*-1). Suppose -9*r + 12*r = v. Calculate the remainder when 124 is divided by r.
16
Suppose -5*k = -37 + 17. Suppose -k*z + d + 73 = 0, 6*d - 3*d = 5*z - 100. What is the remainder when 118 is divided by z?
16
Let b be (-14)/119 + (-4096)/(-136). Let h be (5 + -1 - -1) + -2. Suppose 0 = h*w + 2*w - b. What is the remainder when 23 is divided by w?
5
Let j = -2331 + 2745. Calculate the remainder when j is divided by 142.
130
What is the remainder when 807 is divided by 7/140*4 + (-188)/(-10) + -1?
15
Let k = -766 + 791. What is the remainder when 70 is divided by k?
20
Suppose 2*k + 44*k - 30801 + 487 = 0. What is the remainder when k is divided by 12?
11
Suppose 2*v + 84 = 2*b, 5*b + 50*v - 45*v - 220 = 0. Calculate the remainder when 59 is divided by b.
16
Suppose -v = -9 - 7. Suppose 14 = 6*i - v. Suppose 3*h + 6 = 0, -2*b + 3*h = -h - 24. What is the remainder when b is divided by i?
3
Let s(n) = -n**3 + 79*n**2 + 17. Let k = 87 + 30. What is the remainder when k is divided by s(79)?
15
Let c(s) = 25*s + 61. Calculate the remainder when 28 is divided by c(-2).
6
Suppose 5*t + 0*t + 65 = 0. Let l = 39 + t. Let p = 215 + -205. Calculate the remainder when l is divided by p.
6
Let k be 5 + -1 + 0 + -4. Let n(t) = 3*t + 93. Calculate the remainder when n(k) is divided by (6/4)/((-5)/(-20)).
3
Suppose 0 = 14*w - 689 + 129. Suppose 4*c - 88 + 8 = 0. What is the remainder when w is divided by c?
0
Let c = 168 - 135. Let i(u) = 3*u**2. What is the remainder when c is divided by i(2)?
9
What is the remainder when (-4418)/(-8) + (-6)/24 is divided by 56?
48
Let q = 26 + 19. Suppose -f = 2*f - q. Let t(k) = -238*k**2 + 485*k + 3. Calculate the remainder when t(2) is divided by f.
6
Suppose -5*c + 3*i + 58 = 0, -c + 2*i - 3*i + 10 = 0. Let h = -16 + c. What is the remainder when 7 is divided by h*(0 - 12/15)?
3
Let y(b) be the first derivative of 2*b**3/3 + 6*b**2 - 6*b + 57. Let o be (-2)/(-6) + (-186)/18. Calculate the remainder when y(o) is divided by 15.
14
Let n(d) = d**2 + 565*d + 6165. Calculate the remainder when 231 is divided by n(-11).
18
Suppose 49*l + 26110 = 277*l - 566. Calculate the remainder when 368 is divided by l.
17
Suppose 12*q = 18*q - 960. What is the remainder when q is divided by 82?
78
Calculate the remainder when 104/234 + 1/(-9)*-2822 is divided by 143.
28
Let p be (-1)/(-1) + 37/((-444)/6336). Let k = -505 - p. Calculate the remainder when 149 is divided by k.
17
Let n(i) = 328*i - 655. What is the remainder when 672 is divided by n(3)?
14
Suppose -5*c - 85 = 5*j, 5*c = -0*j + j - 61. Let h = -9 - c. What is the remainder when 35 is divided by (h/8)/((-1)/(-18))?
8
Let o(j) = -j**3 - 64*j**2 + 66*j + 87. Suppose 4*f + 6*f = 180. Calculate the remainder when o(-65) is divided by f.
4
Let a(c) = c**2 - 42*c + 5. Let l be a(42). Suppose -l*t - 2*r + 92 = 0, -3*t - 7*r = -3*r - 44. What is the remainder when 217 is divided by t?
17
Let c = 8734 - 8704. What is the remainder when 384 is divided by c?
24
Let p(i) = -1 + i**2 - 13391*i - 11 + 13352*i. Calculate the remainder when p(41) is divided by 25.
20
Calculate the remainder when 685 is divided by -6*(-170)/60 - -6.
18
Suppose 18384 = 19*l - 3*l. Calculate the remainder when l is divided by 50.
49
Suppose 86*j - 85*j = 6. Let x(m) = 4*m**2 + 15 - 23 + j*m**2 - 7*m - 8*m**2. Calculate the remainder when x(-6) is divided by 36.
34
Suppose 1086 - 2958 = -148*w + 1680. Calculate the remainder when 7089 is divided by w.
9
Let r = 7 - -7. Suppose 0 = r*l - 23*l + 63. Suppose -44 = -l*d + 19. Calculate the remainder when 44 is divided by d.
8
Suppose 1613*v = 1619*v - 204. Calculate the remainder when 689 is divided by v.
9
Suppose 7756*b - 18740 = 7746*b. Calculate the remainder when 1878 is divided by b.
4
Suppose -3*h = -h - 12. Let v be (-6)/(-45)*5*h. Suppose -v*l + t = -127, 0*l + 8 = l - 5*t. What is the remainder when l is divided by 12?
9
Let x be 8 + (-2 - (0 - 0)). Let n = x - 6. Suppose n = 2*f + 4, 0*f - 316 = -5*o - 2*f. What is the remainder when o is divided by 13?
12
Let l(m) = m**3 - 22*m**2 - 105*m + 50. Let w be l(26). Suppose -w*o + 510 + 90 = 0. Calculate the remainder when 32 is divided by o.
7
Suppose -215 + 755 = 5*m. Calculate the remainder when m is divided by (58 + -113)*(-4)/20.
9
Suppose -5*g + 72*n = 70*n - 7482, 2*g - 3*n - 2995 = 0. Calculate the remainder when g is divided by 207.
47
Let m = -426 + 432. Let z = -12 + 46. Calculate the remainder when z is divided by m.
4
Suppose 3*c - 282 = -z, -2*c + 7*c + 5*z = 470. Let d = c + -16. What is the remainder when d is divided by (0 + 55 + 1)/(121 + -119)?
22
Let r(i) = -129*i - 3027. Suppose -3*a = -a - 14. What is the remainder when r(-24) is divided by a?
6
Let y = -9 + 16. Let k = -223 - -222. Let d(h) = 17*h**2 - 4*h - 2. Calculate the remainder when d(k) is divided by y.
5
Let v = -11745 + 17102. What is the remainder when v is divided by 67?
64
Calculate the remainder when 113 is divided by 28/(-462) + (-3203)/(-33).
16
Let n = -15641 - -15748. Calculate the remainder when n is divided by 43.
21
Suppose -v - c = -85, 7*v + c = 11*v - 370. Calculate the remainder when v is divided by 20.
11
Let k(m) = m**2 + 2*m - 4. Suppose 227*q - 229*q = -3*d + 1128, 0 = -d + q + 378. Calculate the remainder when d is divided by k(-11).
87
Let z(j) = -7*j - 83. Let f be z(-7). Let q = 31 - f. Calculate the remainder when 324 is divided by q.
64
Let d(t) = -6 + 7*t - t**3 + 12*t**2 - 29*t - 32*t**2. Let y = -717 - -698. Calculate the remainder when d(y) is divided by 6.
3
Suppose 2*z = -5*k + 45 + 177, -5*z + 5 = 0. What is the remainder when k is divided by 28?
16
Let r(c) = -c**2 - 16*c - 15. Let k be r(-1). Suppose -18*l - 278 + 2276 = k. What is the remainder when l is divided by 14?
13
Let c = -882 + 886. Let n(w) = w**3