 when 4/(-6)*(-78 + z) is divided by 40.
10
Let f = 87 - -33. Suppose 5*n + 120 = 4*l, n - 3*n + 92 = 4*l. Suppose -22*h = -l*h + 123. What is the remainder when f is divided by h?
38
Suppose -325 = -z + 63. What is the remainder when z is divided by 194?
0
Suppose 0 = 4*o + 60 - 16. Let q be o/(-77) - 6*9/(-14). Calculate the remainder when 54 is divided by -3 + 140/5 + q.
25
Let a = 5359 - 5046. What is the remainder when a is divided by 37?
17
Let q(g) = -17*g + 1556. What is the remainder when q(25) is divided by 160?
11
What is the remainder when 868 is divided by (124/(-6)*5)/(-9*28/378)?
93
Suppose -2*p - 3*r - 2 = 0, 2*p - 4*p + 10 = -3*r. Let g(k) = -9*k - 10*k**2 + 9*k**p + 0*k**2 - 7. Calculate the remainder when g(-6) is divided by 4.
3
Let h = 1613 - -481. Suppose -8*c + h + 82 = 0. What is the remainder when c is divided by 21?
20
Let l be (1/2)/(1/(-90)). Let n be ((-96)/14)/((-260)/(-2730)). Let f = l - n. Calculate the remainder when 47 is divided by f.
20
Let z = -425 + 428. Suppose -3*s + 3*b = -126, 2*s + 4*b = -z*s + 228. Suppose -18 = -2*y + x + 28, -2*x = 0. Calculate the remainder when s is divided by y.
21
Suppose -117*s + 122*s = 3*i - 166, -4*i + 4*s = -240. Calculate the remainder when 680 is divided by i.
10
Suppose k - 5 + 2 = 0, 0 = -5*q - 5*k + 1520. Let z = q + -268. Calculate the remainder when z is divided by 10.
3
Let k be (2 - 2)/(-5 - -1). Let o(r) = -2*r - 43. Let j be o(k). Let p = -30 - j. What is the remainder when 24 is divided by p?
11
Let h = 4 - 2. Let x be (-8)/h*(0 + 6). Calculate the remainder when (2 - 0)*-93*4/x is divided by 8.
7
Suppose z = -5*o + 15, 3*o = -4*z - 8 - 0. Suppose 3*b - o*k - 177 = 0, -b - 5*k + 47 = -31. Let c = 825 + -812. What is the remainder when b is divided by c?
11
Let l = 61 + -35. Calculate the remainder when (254/6 - 1)*(-9789)/(-6526) is divided by l.
10
Let t be (-40)/(-8) + (-4 - -1). Suppose -2*b + t*w + 3*w = -160, 5*b = -2*w + 342. Calculate the remainder when b is divided by 2/(-10) + (-273)/(-15).
16
Let l(q) = 11*q**2 - 9*q - 10. Suppose -5*a + 1340 = -0*a. Calculate the remainder when a is divided by l(-1).
8
Calculate the remainder when 3828/5 - (-684)/(-1140) is divided by 111.
99
Suppose k - 5*a - 68 = 0, 4*k - 100*a + 102*a = 272. Calculate the remainder when 79 is divided by k.
11
Let f(q) = q**3 - 18*q**2 + 34*q - 149. Calculate the remainder when f(17) is divided by 15.
5
Suppose -7*i + 445 = -4*i - 2*b, 3*b + 741 = 5*i. Suppose -x - 4*u - i = -0*x, -3*x + 2*u = 427. Let h = x + 146. What is the remainder when 21 is divided by h?
0
Let k = -23303 - -25967. Calculate the remainder when k is divided by 15.
9
Calculate the remainder when 131752/50 - (-34)/(-850) is divided by 36.
7
Let b(t) be the third derivative of -t**6/120 + t**5/4 - 55*t**4/24 + 3*t**3/2 + 6*t**2 + 2*t. Calculate the remainder when 3 is divided by b(6).
0
Let h(l) = l**2 + 19*l + 51. Suppose -53 = -0*w + 3*w - 2*z, -5*w - 86 = -z. What is the remainder when 49 is divided by h(w)?
15
Let d be 13 + (35 + 7)/(-7). Suppose d*l - 178 = -59. Calculate the remainder when 113 is divided by l.
11
Let i(o) = -91*o - 168. Suppose -3*r - 6 = -5*u, -2*u = -5*r - 3 - 7. Calculate the remainder when 61 is divided by i(r).
5
Suppose 0 = -4*o - a + 513, -361 = -3*o + a + 22. Calculate the remainder when o is divided by 125.
3
Suppose 1 = -i, 9*z - 4*z + 3*i - 577 = 0. What is the remainder when 554 is divided by z?
90
Let p = 188 + -17. Let z(m) = m**3 + 35*m**2 - 388*m - 28. What is the remainder when p is divided by z(9)?
39
Suppose 5*y - 4*k - 27 = 0, -5*y - 4*k + 0 = -3. Suppose 0 = z, -3*m + 19 = -y*z - 5. Calculate the remainder when 61 is divided by m.
5
Let g(h) = 11*h**3 - 3*h**2 + 2*h - 1. Let f be 1 + (152 - (-2 + -1)). Suppose 2*y = f - 32. Calculate the remainder when y is divided by g(1).
8
Let s be ((-1)/2)/((-1)/6). Suppose -4*d = -s*u + 7*u - 4, 3*d + 7 = 2*u. Let b(v) = 102*v**2 - v - 2. What is the remainder when b(d) is divided by 26?
23
Suppose -7*m - 3*k + 1352 = -5733, 10 = -5*k. What is the remainder when m is divided by 58?
27
Let h(y) = -y**3 + 18*y**2 - 52*y - 12. Suppose -36 = -2*x - 2*w, 0 = -x - 6*w + 3*w + 26. What is the remainder when h(x) is divided by 10?
4
Suppose -21*c + 16*c + 130 = 0. Let y(p) = 19*p**2 + p + 1. Suppose 5*b - 4*f + 2 = 0, b + 2*f + 3 + 3 = 0. What is the remainder when y(b) is divided by c?
23
What is the remainder when 555 is divided by (-18312)/(-104) - (-4 - 212/(-52))?
27
Calculate the remainder when 490/1960 - (1363/(-4) - -1) is divided by 122.
96
Let t be (-464)/32*(-4 - (-6 - -4)). Suppose 4*x = -t*x + 1254. Suppose 83 = -4*b + 671. What is the remainder when b is divided by x?
33
What is the remainder when 686 is divided by 20/(-28) + 78402/1022?
2
Suppose -10*f + 3*p - 3422 = -12*f, -5*f + 8545 = 5*p. Calculate the remainder when f is divided by 95.
90
Let h = -8 + 15. Suppose -35 = -h*i + 28. Let b(m) = -m**2 + 10*m + 16. What is the remainder when b(i) is divided by 16?
9
What is the remainder when 24350/25 + (14 - 3) is divided by 26?
23
Suppose -5*d = 5*b - 425, -d + 136 - 61 = 3*b. What is the remainder when d is divided by 35?
20
Let y(w) = -w**2 - 100*w - 1087. Calculate the remainder when 1974 is divided by y(-17).
30
Let d be 3/(4/16*6). Suppose -13*o = -3*o - 20. Suppose 3*m - d*x - 2*x - 191 = 0, -5*m = o*x - 327. What is the remainder when m is divided by 17?
14
Let i = -82 - -80. Let l(t) = t**2 + 2*t + 2. Let m be l(i). Suppose m*w + 2*n = 86, w - 4*n + 52 = 2*w. Calculate the remainder when w is divided by 22.
18
Suppose -65 = -3*n - 5*o - 13, 4*o - 38 = -2*n. Suppose 18*d + 46*d - 3232 = -37*d. What is the remainder when d is divided by n?
5
Suppose 2*j - 83*s - 27394 = -81*s, 0 = 2*j + 5*s - 27352. What is the remainder when j is divided by 42?
41
Let q(l) = 3*l**2 + 16*l + 34. Let i(s) = 13*s**2 + 65*s + 135. Let m(r) = -2*i(r) + 9*q(r). Calculate the remainder when m(-16) is divided by 18.
14
Suppose 293*z - 18231 = 190*z. Calculate the remainder when z is divided by 64.
49
Let u = 944 + -906. Let z(s) = 12*s**2 + 2*s - 4. Let q be z(5). What is the remainder when u is divided by (2/4)/(9/q)?
4
Let i = 110 + -47. Let v = -153 - -101. Let z = v + i. Calculate the remainder when 27 is divided by z.
5
Suppose 0 = a - 37*a + 4790 + 14974. Calculate the remainder when a is divided by 3.
0
Suppose 0*x + 2*x + j = 1456, 0 = 5*x - 2*j - 3631. What is the remainder when x is divided by 34?
13
Let x be -1*(-249 + (-1 - 7)). Let z = x + -38. What is the remainder when z is divided by 37?
34
Let u = -304 - -102. Calculate the remainder when 29 is divided by (5/(-20))/(5 - u/(-40)).
4
Let o(l) = -2*l**3 + 11*l**2 + 12*l - 22. Let v = 13 + -11. Suppose -27 = -5*q + 4*q + 2*j, -v*q - 2*j = -48. What is the remainder when q is divided by o(6)?
11
Let p(k) = 149*k - 62. Let n(r) = 223*r - 94. Let g(d) = -5*n(d) + 8*p(d). What is the remainder when g(2) is divided by 44?
40
Let c be 12/3*16/1. Suppose -5*t = -20, b + 3 = t + c. What is the remainder when b is divided by (-9)/3 - 10 - -47?
31
Suppose -y + 11 - 9 = 0. Suppose -63 = -d - y*d. Suppose 20*s = 17*s + d. Calculate the remainder when 31 is divided by s.
3
Let c = -62 + 64. Suppose -4*w = 16, -1 = -2*i - c*w + 3. Calculate the remainder when 189 is divided by i.
3
Let v(x) = x**3 + 7*x**2 - 21*x + 2. Let l(d) = d**3 + 11*d**2 - 11*d + 3. Let u be l(-12). Calculate the remainder when 36 is divided by v(u).
7
Suppose 17 = h + 14. Suppose 27 = h*c + t - 5*t, -5*t - 9 = -c. Let z = -15 - -30. Calculate the remainder when z is divided by c.
6
Suppose -3*k + 251 = 2*f, -3*f + k - 123 = -505. What is the remainder when 406 is divided by f?
25
Suppose -2*u = -4*u + 12. Suppose -13*d + 14 = -u*d. What is the remainder when 42 is divided by d*(-26)/(-4) - (-2)/(-2)?
6
Let p(b) = -b**3 - 6*b**2 + 2*b - 5. Suppose 16 + 47 = 3*y. Let d be (60/9 + -2)/((-14)/y). Calculate the remainder when p(d) is divided by 8.
6
Let n(x) = 2*x + 33. Let a be n(-14). Suppose 85 = u - 4*p, 0 = 2*u - 2*p + a*p - 159. What is the remainder when u is divided by 14?
11
Suppose 5*m - k - 202 = 0, -3*m + 2*k = -16 - 108. Suppose o - 64 = -o. Calculate the remainder when m is divided by o.
8
Suppose -x - 3