4. Let j be z(-7). Let o = j - 710. Calculate the remainder when o is divided by 6.
1
Let m(o) = 4*o**2 - 4*o - 7. Let q be m(6). Let z = q + -88. Calculate the remainder when 122 is divided by z.
22
Suppose 5*r + 52 - 198 = g, 0 = -2*r - 2*g + 80. Suppose 0 = 3*x - 5*x + 10, -x - 290 = -5*n. What is the remainder when n is divided by r?
28
Suppose -13*p + 1145 = 3*k - 8*p, k - 391 = 3*p. Let r = -370 + k. Calculate the remainder when r is divided by 14.
1
Let s(p) = 12*p - 5. Let z(m) = 2*m - 1. Let r(n) = 24*n - 51. Let w(h) = r(h) + 4*z(h). Calculate the remainder when s(4) is divided by w(2).
7
Let g(f) = -83*f + 465. What is the remainder when g(-27) is divided by 63?
60
Let j(y) = -4*y + 119. Let i be j(0). Suppose 61 = 10*a - i. Calculate the remainder when 66 is divided by a.
12
Let s(u) = 2*u**3 + u**2 - 3*u + 2. Let m(x) = 7*x**2 + 23*x + 12. Let w be m(-6). Let b = w - 119. Calculate the remainder when s(2) is divided by b.
2
Let i(r) = r**3 - 3*r**2 + 2*r + 4. Suppose -l + 120 = 4*l + 5*c, -4*l + 90 = c. Suppose -27*x = -l*x - 35. What is the remainder when i(3) is divided by x?
3
Let g be 4*1 - (-5967)/17. Suppose 0 = -18*z + 13*z - g. Let v = z + 112. Calculate the remainder when v is divided by 11.
8
Let w = 8863 + -8855. Calculate the remainder when 54 is divided by w.
6
What is the remainder when 846 is divided by (-5 - ((-640)/65 + 5)) + (-5520)/(-52)?
104
Let d = 5316 - 5254. Calculate the remainder when 430 is divided by d.
58
Let j be (-5 + 6)*(2 - -95). Let c = 100 - j. Suppose -3*f - 3*y + 0*y + 48 = 0, c*f + 2*y = 49. Calculate the remainder when f is divided by 4.
1
Let z(q) = q**2 + 13*q - 14. Let s be z(-14). Suppose s = 8*g - 11*g - 84. Calculate the remainder when 75 is divided by (-724)/g - (-2)/14.
23
Suppose -3*m + 18 = -3. Let s(o) = -6*o**2 - 12 - 12*o + 26*o - 14*o + 8*o**2 - 10*o. Calculate the remainder when 58 is divided by s(m).
10
Suppose 2*w + 4 = -3*v, -6 = -3*w - w + v. Let f(n) = -9 - 7 + 5*n - w - 5. What is the remainder when f(9) is divided by 8?
7
Suppose -3*k + 27*x - 24*x = -1113, -4*k - 2*x + 1466 = 0. What is the remainder when k is divided by 9?
8
Suppose 2*z + 2*c + 38 = 0, z + c = 3*z + 23. Let d = -589 + 610. Let x = d + z. Calculate the remainder when 20 is divided by x.
6
Let m be (207/46)/((-3)/(-4)). Let g be 8/((-160)/(-2865)) + m/8. Suppose 8*b - 32 = g. Calculate the remainder when b is divided by 14.
8
Let v(a) be the third derivative of 7*a**4/24 + 11*a**3/3 + 14*a**2. Calculate the remainder when v(7) is divided by ((-2)/(-3))/((-3)/(-3 + -78)).
17
Let v be (-706)/(-26) - 1/((-26)/(-4)). Let k = -162 + 166. Calculate the remainder when k is divided by 11*(-4)/(-36) + (-6)/v.
0
Let w(t) = 331*t + 5892. Calculate the remainder when w(-16) is divided by 148.
4
Let u = -107 - -112. Suppose -h + c + 21 = 2, u*h - c = 91. Calculate the remainder when (24/15)/(2/85) is divided by h.
14
Let h = -321 - -643. Calculate the remainder when 7401 is divided by h.
317
Suppose 44 = -3451*k + 3462*k. What is the remainder when 177 is divided by k?
1
Suppose -6*a + 0*a = 366. Let c = 76 + a. Let x = -24 - -66. Calculate the remainder when x is divided by c.
12
Let l = -2367 - -2371. What is the remainder when 713 is divided by l?
1
Let x = 1411 - 1404. Suppose -b + 4*b = -4*l - 127, 5*l + 167 = -b. Let i = l + 59. Calculate the remainder when i is divided by x.
4
Suppose 3*v = -5 + 2612. Let q = v - 758. Calculate the remainder when q is divided by 41.
29
Let f = -203 + 222. Let u = -13 - -31. What is the remainder when (1 + -107)*(-9)/u is divided by f?
15
Suppose t = -t - 6, -z - 5*t = 12. Suppose o - 24 = -3*w, 44 - z = 5*w + 2*o. Calculate the remainder when w is divided by (-2)/(-3) - 48/(-9).
1
Let w(s) = 3*s**2 + 64*s - 215. What is the remainder when 2990 is divided by w(3)?
2
Suppose 6*t + 72 = 29*p - 27*p, 0 = 4*t + 20. Let c(w) = w - 2. Let s be c(-4). Let m = s - -81. What is the remainder when m is divided by p?
12
Let v = -13123 - -22430. Calculate the remainder when v is divided by 10.
7
Let s(t) = -8*t - 10. Let z be s(9). Let w = 87 + z. What is the remainder when 20 is divided by w?
0
Let r be (4 - (-3 + 271)) + -2 + 6. Calculate the remainder when (-52)/(-13)*r/(-8) is divided by 11 - (6/(-2) + 2).
10
Let z(i) = 17*i - 1. Let c(w) = -32*w - w**2 - 30 + 3*w - 28 + 18. What is the remainder when z(4) is divided by c(-27)?
11
Let g(t) = 83*t - 379. Let k be g(5). Let c(p) = -4*p**2 + 146*p + 16. Calculate the remainder when c(k) is divided by 17.
3
Suppose -2*i + 7*i = 325. Let q = -54 + i. What is the remainder when 152 is divided by q?
9
Suppose 0 = -7*p - 199 - 102. Let w = 5 - -53. Let d = p + w. What is the remainder when d is divided by 11?
4
Let q = 85 + -77. Suppose 0 = 12*k - q*k - 8. What is the remainder when 73 is divided by ((-75)/(-10) + k)*2?
16
Let i(x) = -19*x + 111. What is the remainder when i(-32) is divided by 5?
4
Suppose 47*h - 2562 = -729. What is the remainder when 259 is divided by h?
25
Suppose 9392 = -128512*p + 128528*p. What is the remainder when p is divided by 175?
62
Suppose 8 - 33 = -2*t - 3*f, -5*t + 50 = 5*f. What is the remainder when 382 is divided by (-22)/10*(t - 30)?
52
Suppose 5*t + 1147 = 2*a, -4*t - 2687 = -5*a + 138. Suppose 28*f = 17*f + a. Calculate the remainder when f is divided by 29.
22
Let n(g) = -g**2 + 4*g - 4. Let s be n(2). Suppose 4*k - 11 = 3*o, -4*k + s*k + 6 = -2*o. What is the remainder when (-5 + -6)*-14*k/(-2) is divided by 39?
38
Let u(b) = b + 47. Let n be u(-43). Suppose 2*v - 506 + n = 0. What is the remainder when v is divided by 7?
6
Let x = 208 + -226. What is the remainder when 196 is divided by (-150)/x*(7 + -1)?
46
Suppose 5*g + 3*a - 2819 = 0, 28*g - 29*g + a = -575. What is the remainder when g is divided by 31?
10
Let v = 5281 + -5059. What is the remainder when v is divided by 106?
10
Let g = 749 + -282. Let h = g + -465. Calculate the remainder when 9 is divided by h.
1
Let x(h) = -621*h**3 + 6*h**2 + 10*h + 5. Calculate the remainder when x(-2) is divided by 13.
11
Suppose 3*n + a = 1399, 1847 = 4*n + 198*a - 193*a. Calculate the remainder when n is divided by 157.
154
What is the remainder when 188 is divided by -3*(747/27 - 0)*-1?
22
What is the remainder when 8317 is divided by 4/(-22) - (27/(-36))/((-66)/(-4152))?
45
Let r(n) = -3*n**3 - 27*n**2 + 18*n - 12. Calculate the remainder when r(-10) is divided by 21.
3
Suppose 76*d = 267*d - 2483. What is the remainder when 1423 is divided by d?
6
Let t = -2688 + 4562. What is the remainder when t is divided by 28?
26
Suppose 74 = u - 3*d, d + 297 = 5*u - 59. Let j(z) = -z**3 - 18*z**2 - 86*z - 23. Calculate the remainder when u is divided by j(-10).
34
Let n(k) = k**3 - 7*k**2 + 13*k - 2. Let q be n(4). Suppose -3*r - q*z = -5*r + 20, z + 19 = 2*r. Calculate the remainder when 97 is divided by r.
7
Let r(o) = o + 9. Let t be r(-9). Suppose -b - q = t, -25 = 6*q - q. Calculate the remainder when 13/143 + 1 + 658/22 is divided by b.
1
Calculate the remainder when (-11)/(44/56) + 3034 is divided by 54.
50
Suppose -375 = -128*t + 637 + 140. What is the remainder when 24630 is divided by t?
6
Calculate the remainder when 594 is divided by (3 - 10)/(525/(-10575)).
30
Let j = 29085 + -24356. What is the remainder when j is divided by 945?
4
Let o(c) be the first derivative of 8*c**2 + 7*c - 16. Calculate the remainder when o(2) is divided by 25.
14
Let c(d) = 2*d. Let o(t) = 2*t**3 + 22*t**2 - 20*t + 6. Let a(r) = 5*c(r) + o(r). What is the remainder when a(-11) is divided by 17?
14
Let g be (1 - 9)*1/(-2). Suppose -3*s + 64 = -b + 5*b, 4*s + 36 = g*b. Calculate the remainder when 296 is divided by b.
10
Suppose 22*h - 3748 = 29010. What is the remainder when h is divided by 71?
69
Let z(q) = -4*q**3 - 5*q**2 - 3*q + 5. Let t be z(-4). Let h = -175 + t. What is the remainder when 152 is divided by h?
8
Let p = 1668 + -1579. Calculate the remainder when 402 is divided by p.
46
Suppose 0 = -5*j + 190 - 70. Suppose -5*i + 100 = 5*x, -i + j = x + 2*i. What is the remainder when 23 is divided by x?
5
Suppose 114*u - 120*u + 438 = 0. Suppose -19*x = -16*x + 5*i - u, -x + 3*i = -1. Calculate the remainder when 53 is divided by x.
5
Let z = -46 + 68. Let w(t) = -t