when p is divided by 21.
20
Suppose 15*s = 11*s + 68. Let i = s - 14. Suppose i*f + 16 = 67. What is the remainder when 46 is divided by f?
12
Suppose -526*s + 1804 = -482*s. Calculate the remainder when 524 is divided by s.
32
Let w be -2 + (5 + 1)/(-3) + 9. Suppose -3*v + 29 = 4*c - 12, -w*v = 4*c - 47. Calculate the remainder when c is divided by (4/(-18))/((-22)/198).
0
Let w(a) = a**2 + 2*a - 1165. Calculate the remainder when w(-39) is divided by 203.
75
Calculate the remainder when (-26916)/(-15) - ((-162)/(-15))/(-18) is divided by 4.
3
What is the remainder when 530 is divided by (-526)/24*2*4*15/(-10)?
4
Let j be 3*(14/6 + 1). Suppose -14*b + 452 = -j*b. Calculate the remainder when b is divided by 19.
18
Let w = 6245 - 6122. Calculate the remainder when 610 is divided by w.
118
Let i(m) be the first derivative of -2*m**3/3 + 8*m**2 - 25. Suppose 0 = -3*w - 3*w + 498. What is the remainder when w is divided by i(7)?
13
Calculate the remainder when (-26131)/(-105) - 34/(-255) is divided by 9.
6
What is the remainder when (182/8)/(27 - (-1061174)/(-39304)) is divided by 100?
99
What is the remainder when 1235 is divided by ((-103)/309)/(2/(-354))?
55
Suppose -244*g + 252*g = -4120. Let r = -350 - g. What is the remainder when r is divided by 24?
21
Let w be 348*-1*(0 + (-1)/1). Suppose -9*x = -13*x + w. Let j = 57 + -27. What is the remainder when x is divided by j?
27
Suppose 5*t - 28 = -r, 3*r - 108 = 8*t - 11*t. Suppose 0 = -115*m + 117*m - r. Calculate the remainder when 110 is divided by m.
15
Let c(q) = q + 20. What is the remainder when (1 - 1/(-2))/(12/560) is divided by c(17)?
33
Suppose b - 28 = 3*q, 0 = 5*b - 2*q - q - 68. Calculate the remainder when 528 is divided by b.
8
Let l(d) = -d**2 + 13*d + 17. Let a be l(8). Let x be (53/(-4))/((-3)/(-12)). Let c = a + x. Calculate the remainder when 23 is divided by c.
3
Let u(l) = 4*l**2 + 8*l + 1. Let y = 1823 - 1282. Suppose 14*n = y + 173. What is the remainder when u(-6) is divided by n?
46
Let k = -15521 - -15605. What is the remainder when 1511 is divided by k?
83
Suppose -785*i = -7736 - 1684. Calculate the remainder when 33214 is divided by i.
10
Calculate the remainder when 319 is divided by (101 - 2)*(-4)/(-7)*(-112)/(-96).
55
Let p(h) = h**3 - 2*h**2 + 14*h + 17*h**2 + 5 - 4. Let c be p(-14). Let j(q) = 18*q**2 - 2*q + 2. Calculate the remainder when j(c) is divided by 8.
2
Let o(j) be the first derivative of j**2 + 3*j - 9. Calculate the remainder when (-153)/(-6)*(-7)/(35/(-10)) is divided by o(8).
13
Let m(p) be the third derivative of -p**6/120 + p**4/6 + p**3/2 - 2*p**2. What is the remainder when 288/36 - (-4 + 0) is divided by m(-2)?
0
Let n = -84 + 115. Suppose n*w + 81 = 267. What is the remainder when 51 is divided by w?
3
Let p(v) = 2*v - 19. Let n be p(10). Calculate the remainder when 3/(-2)*406/(-21) - n is divided by 15.
13
Suppose 5*w = 16*w + 264. Let f = w + 87. Let t = -32 + f. Calculate the remainder when t is divided by 8.
7
Suppose 6642 = 92*f - 10*f. Calculate the remainder when 220 is divided by f.
58
Let r = -135 - -160. Calculate the remainder when 367 is divided by r.
17
Let f(q) = 241*q + 3072. What is the remainder when 700 is divided by f(-12)?
160
Let v(x) = 33*x + 60 - 31*x - 9. What is the remainder when v(-3) is divided by 8?
5
Let p(q) = 347*q + 25. Let m be p(3). Suppose 11*x + m = 3222. Calculate the remainder when x is divided by 33.
31
Let k(m) = 1548*m - 1798. Calculate the remainder when k(3) is divided by 81.
11
Suppose -2*n + 18 = -2*d - 2, 26 = 5*n + d. Let a be 5*((0 - -10) + -4). Let f = a + -16. Calculate the remainder when f is divided by n.
2
Let n = -5897 - -5903. Let g be (-1 - (-1 + 15)) + 1. What is the remainder when 38 is divided by (g - 6)*(n/(-3) + 1)?
18
Let u = 102 + -52. Suppose -3*i - i - 2*n + u = 0, -63 = -5*i - 3*n. Let w(o) = 3*o**2 + 4*o + 4. Calculate the remainder when w(4) is divided by i.
8
Suppose -2*d = -0*d - 2660. Suppose 12*h - d = 2*h. Calculate the remainder when h is divided by 17.
14
Suppose 4*w - 16*i - 1136 = 0, 2*w - 594 = -17*i + 12*i. Calculate the remainder when w is divided by 51.
37
Calculate the remainder when 179 is divided by ((-48)/224*96/(-2))/(4/14).
35
Suppose 4*o - 2*t - 890 = 0, 5*o + t - 710 = 385. What is the remainder when 5277 is divided by o?
217
Suppose 3*s + l = 25, 0 = -2*s - 5*l + 40 - 6. Suppose 2622 + 3559 = s*t. What is the remainder when t is divided by 68?
67
Let x(v) = -662*v + 3817. What is the remainder when x(5) is divided by 10?
7
Calculate the remainder when 1798 is divided by -525*(260/(-28) - -9).
148
Let n(v) = -11*v - 2 + 3 + 6*v + 7*v + 2*v**2. Let r be n(0). Suppose 3*y = -i - y + 37, r = i - 5*y. Calculate the remainder when 61 is divided by i.
19
Suppose -7 - 56 = -t. Suppose 313148*u - 313242*u = -2256. What is the remainder when t is divided by u?
15
Suppose -3*u + 10 = -d, 5*u - 4 - 6 = -5*d. Let w(z) = -38*z**3 + 3*z**2 + 15*z + 14. What is the remainder when w(d) is divided by 6?
4
Let a be (30/(-3))/(4/16). Let g = 2 - a. Let c(b) = -b**3 + 5*b**2 - 7. What is the remainder when g is divided by c(4)?
6
Let c = 329 + -280. Suppose 22*k - 577 = -c. Calculate the remainder when 138 is divided by k.
18
Let n = 7901 - 7899. Calculate the remainder when 1988 is divided by n.
0
Suppose 0 + 4 = -4*q, -5*r = 5*q + 415. Let u = r + 75. What is the remainder when 67 is divided by (-3)/(u/((-238)/(-6)))?
16
Let a be 8/(0 + 2) - (17 - 13). Suppose -l + 23 + 2 = a. Calculate the remainder when 96 is divided by l.
21
Suppose 706 = 2*y - x, -x = -15*y + 10*y + 1762. Calculate the remainder when y is divided by 51.
46
Let o(w) = 35*w - 21. Let k = -102 - -56. Let m = -21 - k. What is the remainder when m is divided by o(1)?
11
Let z(r) = -r**3 - 24*r**2 - 14*r + 368. What is the remainder when 2088 is divided by z(-23)?
156
Suppose 4*t - 5*n + 529 = 0, -5*t + 2*n + 129 = 786. Let z = t + 154. Calculate the remainder when z is divided by 8.
7
Suppose 20 = 5*n, 2*v + 2*n - 3*n = 10. Let s(x) = -6*x - 24. What is the remainder when s(-28) is divided by v?
4
Let y(g) be the third derivative of -g**6/60 - 17*g**5/30 - g**4/24 - 2*g**3 - 71*g**2. Calculate the remainder when 14 is divided by y(-17).
4
Suppose 10453 = -d + 10578. Calculate the remainder when 2372 is divided by d.
122
Let k(g) = -5*g**2 - 9. Let o(j) = -j**2 + j. Let c(s) = -k(s) + 6*o(s). Let l be c(7). Suppose -18 + 100 = l*z. What is the remainder when z is divided by 11?
8
Suppose -23 = 5*z + 2*l, z - l + 26 = -4*z. Let b be z/50*-5*14. Suppose -b*k + 11*k - 248 = 0. Calculate the remainder when k is divided by 17.
11
Suppose -16*k + 10 + 86 = 0. Suppose 4*w + f = k*f + 332, -2*w = f - 152. Calculate the remainder when w is divided by 14.
8
Suppose -d - 2*y + 235 = -0*y, -215 = -d + 2*y. Suppose d = 11*i - 160. Calculate the remainder when (-11 - -7) + (-1 - -144) is divided by i.
34
Let s(r) = 7*r + 101. Let j be s(-14). Suppose 0 = -4*u + 923 - 371. What is the remainder when u is divided by (-1 - -2 - -13)/(j/6)?
26
Suppose 11 = 4*p + 3. Suppose p*l - 3 = 5. What is the remainder when 92 is divided by ((-8)/4)/(l/(-48))?
20
Let l(x) = -x**2 - 7*x + 4. Let b = -39092 - -39114. Calculate the remainder when b is divided by l(-6).
2
Let g(u) = 6*u**3 - 4*u**2 + 20*u - 24. Suppose -2*l + 185 = s - 88, 0 = 4*l - 5*s - 567. Calculate the remainder when l is divided by g(2).
42
Suppose 2*g + 2*d + 3*d = 84, -2 = -d. What is the remainder when g is divided by (-2)/29 + (-18396)/(-1827)?
7
Let l = 32 + -31. Let p be 8*(-2)/(1 + l/1). Calculate the remainder when 24 is divided by p/2*5/(-40)*10.
4
Let n(j) = -j**2 - 30*j - 56. Let g be n(-28). Suppose g = -4*s + 3*r + 21 + 1382, -3*s = -2*r - 1051. What is the remainder when s is divided by 10?
7
Let c(y) = 2*y**2 - 5*y + 12. Let x be c(5). Suppose 7 = -2*j + x. Calculate the remainder when 29 + (-1 - -5) + -5 is divided by j.
13
Suppose -2*s - 19*s - 20 = -209. Calculate the remainder when 652 is divided by s.
4
Let j(k) = 4*k**2 + 14*k - 8. Let h(w) = w**3 - 2*w + 1. Let r be h(1). Let m(b) = -b**3 + b**2 + b + 24. What is the remainder when j(3) is divided by m(r)?
22
Let l be 9/((-81)/12)*(-6)/4. Suppose 0*d - 4*d = -l*z + 22, -4*d - 56 = -4*z.