3*w - 4*w = -5*i - 7, 2*w - 8 = 4*i. Suppose 3*g = -4*z + 2*z + 17, -5*z - g = -23. What is the remainder when z is divided by w?
0
Let l = -89 + 92. What is the remainder when 50 is divided by 2 + (4 - l) + 14?
16
Let c(j) = -j**3 + 6*j**2 + 7*j + 7. Let k be c(-6). Suppose -3*y - 19 = -k. What is the remainder when y is divided by 32?
30
Let f(z) = -42*z**3 - z**2 + 1. Suppose 2*h - 1 = -3. Let a be f(h). Calculate the remainder when 25 is divided by 4/(-14) - (-642)/a.
10
Let a(n) = 3*n**2 + 2*n + 2. Suppose 9*t - 1541 = -1451. What is the remainder when a(-5) is divided by t?
7
Suppose -k = 5*c - 75, 3*c - 8*c + 95 = -3*k. Calculate the remainder when 47 is divided by c.
15
Let w(z) = -3*z. Let f be w(-2). Suppose -q + f*q = 145. Suppose 5*t - 5*i = 165, 4*i = t + 7*i - q. Calculate the remainder when t is divided by 11.
10
Let h(t) = 4*t + 7. Let f be (0 - 6/4)*-4. Let s(m) = -4*m - 8. Let g(k) = f*s(k) + 7*h(k). What is the remainder when 48 is divided by g(4)?
14
Let m(i) = i**2 - i + 3. Suppose -r - 3*r + 8 = 0. Suppose 4*j + r*x - 180 = 0, 0*j - 2*x - 45 = -j. Calculate the remainder when j is divided by m(5).
22
Let d be (-70 + 1)/(16 + -19). Suppose 43 = 5*h - 3*n, 0 = -h + n - 4*n + d. What is the remainder when 53 is divided by h?
9
Suppose 5*a + 169 = -2*b + 338, -4*a = 4*b - 140. What is the remainder when 112 is divided by a?
13
Suppose 12*w = 9*w + 96. Suppose 4*d - b - w = 2*b, 9 = d - b. Calculate the remainder when 29 is divided by d.
4
Let q(m) = 50*m**3 - 7*m**2 - 5*m + 7. What is the remainder when q(2) is divided by 24?
9
Suppose 3*v + 15 = 39. Let h(t) = -2*t + 6. Let a(m) = -m + 5. Let g(r) = 2*a(r) - 3*h(r). Calculate the remainder when g(9) is divided by v.
4
Suppose -2*z + 0*z = -b + 68, -330 = -5*b + 5*z. Suppose b = 3*s + s + 2*t, 3*s - 70 = 4*t. What is the remainder when s is divided by 5?
3
Suppose -2*v = 4*b - 56, 7*b - 2*b = 2*v + 79. Calculate the remainder when 59 is divided by 7/((-175)/(-20))*b.
11
Calculate the remainder when 127 is divided by (21/3 + -5)*33/3.
17
Let p = 29 + 164. What is the remainder when p is divided by 14?
11
Suppose -24*z + 148 = -116. What is the remainder when z is divided by 4?
3
Suppose 17*j - 329 = 10*j. What is the remainder when j is divided by 18?
11
Suppose 3*k + 5*i = 75, 4*i + 14 = -3*k + 86. Calculate the remainder when 188 is divided by k.
8
Let l(d) = -d**2 - 12*d - 21. Let j be l(-9). What is the remainder when 110 is divided by (2 + j)*38*(-1)/(-8)?
34
Let g(k) be the second derivative of 3*k**3 + 7*k**2/2 - 7*k. What is the remainder when g(3) is divided by 21?
19
Suppose -5*k = -5*u + 10, 0 = -2*u - 3*u - 4*k - 8. Let a(j) = -j**3 + j + 27. Calculate the remainder when a(u) is divided by 8.
3
Let s(o) = -8*o + 92. What is the remainder when s(-7) is divided by 53?
42
Suppose 2*k - h + 2*h - 60 = 0, 39 = k - 4*h. Suppose -k = q - 66. Calculate the remainder when 104 is divided by q.
34
Let y = -19 + 34. What is the remainder when 1*y/6*(-40)/(-2) is divided by 17?
16
Let c be 3/((-9)/(-7) + 28/(-98)). Suppose -4*g - 5*o + 124 = -0*g, -3*g + 93 = -c*o. What is the remainder when g is divided by 16?
15
Suppose -36 = -7*w + 3*w. Let o be 6/(-21) - 1308/(-21). Suppose 3*s + 2*a = o, s + a - 4 - 15 = 0. Calculate the remainder when s is divided by w.
6
Let k(x) = 2*x**3 + 3*x**2 - 3*x. Let c be ((-4)/(-6))/(2/6). Calculate the remainder when k(c) is divided by 32/(-12)*(-3 - 0).
6
Suppose 15*u - 19*u + 43 = 5*r, -5*u - 25 = -5*r. Calculate the remainder when 220 is divided by r.
3
Let s(k) = k**2 - 9*k - 45. Calculate the remainder when s(16) is divided by (-2)/(142/(-46) + 3).
21
What is the remainder when 725/(-58)*((-363)/5 + 1) is divided by 28?
27
Suppose 0 = v - 46 - 73. Suppose 3*a + 3*y = 7*a - v, -4*a + y + 125 = 0. What is the remainder when a is divided by 11?
10
Let n = -145 + 327. What is the remainder when n is divided by 33?
17
Let q(i) = 3*i. Let h = -36 - -172. Suppose 0 = 6*o - 10*o + h. What is the remainder when o is divided by q(3)?
7
Let h be (-8)/(-28) + (-52)/(-14). Suppose -20 = -i + h. Calculate the remainder when 48 + 1/((-2)/2) is divided by i.
23
Let b = -38 - -41. Suppose -9*t + 6*t = b*j - 33, 0 = 5*t + 3*j - 65. Calculate the remainder when t is divided by 7.
2
Suppose 4*v + 101 = -0*c + c, 0 = 3*c + 2*v - 247. Suppose 7*t - 10 = 6*t. Suppose 0 = 5*d - c - t. Calculate the remainder when 75 is divided by d.
18
Suppose -5*x + 72 + 8 = 0. What is the remainder when 10/(-10) - (-2 - x) is divided by 11?
6
Let v(w) = -22*w. Let x(p) = 3 - 3 - 7*p. What is the remainder when x(-6) is divided by v(-1)?
20
Let r be (-117)/(-27) + (-2)/(-3). Suppose t - 9 = -4*x + 2, -r*x - 29 = -t. Calculate the remainder when 53 is divided by t.
15
Let u(m) = -6*m - 13. What is the remainder when u(-15) is divided by 51?
26
Calculate the remainder when (-2*2/4)/((-47)/1034) is divided by 12.
10
What is the remainder when -3 + (182 - 6 - 6) is divided by 28?
27
Let g be 3/(-1) + (76 - 10). Let h = 93 - g. What is the remainder when h is divided by -2*1 - -1 - -17?
14
Suppose -380 = -4*v + 260. Let y = v + -89. What is the remainder when y is divided by 18?
17
Let l = -22 + 23. Let h(x) = -x**2 + 3*x. Let y be h(2). What is the remainder when l*y*(5 + 11) is divided by 17?
15
Suppose 0 = r - 4, r + 71 = 4*q - q. What is the remainder when -9 - -4 - 309/(-3) is divided by q?
23
Calculate the remainder when 106 is divided by (-1705)/62*(-4)/5.
18
Let p be 6/(-18) - ((-316)/3 - -3). Suppose 8*q = 178 + p. What is the remainder when 102 is divided by q?
32
Suppose p = -l + 99, -5*p = l - 52 - 39. Calculate the remainder when l is divided by 15.
11
Let t(u) = 2*u - 4. Let l(q) = -3*q + 5. Let x(y) = 3*l(y) + 4*t(y). Let i be x(-8). What is the remainder when 19 is divided by 8 + (i - 4) + -4?
5
Let a(g) = g - 8. Let s be a(16). Suppose -4 = -2*f + s. Suppose -2*j - 124 = -f*j. Calculate the remainder when j is divided by 16.
15
Let p(n) = 3*n**2 + 6*n - 2. Let i be p(4). Suppose -16 = g - i. Calculate the remainder when g is divided by 19.
16
Let h be 10/(4/6*(-6)/(-4)). Suppose -h*c - 26 = -12*c. Calculate the remainder when 24 is divided by c.
11
Let p be (-16)/(-9) - (-24)/108. Suppose -4*n + 12 = p*a, a - 6*a = -3*n + 35. Calculate the remainder when 2 is divided by 3 + 1*4/a.
0
Let d be 1/(-4) + 4 + (-1842)/(-8). Suppose 8*u = d - 18. What is the remainder when 76 is divided by u?
22
Suppose -3*a - 15 = -5*i, 8 + 12 = -4*i - 4*a. Suppose i*k = -5*k - 30. Calculate the remainder when 42 is divided by k/(-4)*(-176)/(-24).
9
Let m(i) = -3*i - 10. Suppose 5*p + 6 = -0*z - 3*z, -4*z - 4*p = 16. Let f = 23 - z. What is the remainder when f is divided by m(-9)?
13
Let f = -406 + 420. What is the remainder when 63 is divided by f?
7
Let y(m) = -m**3 + 8*m**2 + 33*m + 19. Suppose -27 = 2*w - v, -9 = -w + 2*w + 4*v. Let i = w - -23. Calculate the remainder when y(11) is divided by i.
9
Let k be (7 - 1)*(-12)/(-24). Suppose -3*f + 76 = f - k*i, -3*i = 5*f - 68. Calculate the remainder when 61 is divided by f.
13
Suppose -39 = -u - 2*u. Suppose -484 = -6*b - 184. Calculate the remainder when b is divided by u.
11
Suppose 0 = -2*x - 4*n + 12, 5*x + 0*n = n + 52. Let j be -3 + x/(-2)*-15. Suppose -j = -5*t - 7. What is the remainder when t is divided by 8?
5
Let r = -49 + 47. What is the remainder when 33 is divided by 4/8*37 + 1/r?
15
Let a be 7/2*(-6 + 4). Let c = 27 - -15. Calculate the remainder when c is divided by 3*-1 + a/((-28)/48).
6
Let w(y) = 3*y + 17. What is the remainder when w(17) is divided by 23?
22
Let j = -63 - -65. Suppose 2*s - j*b = 52, -2*b + 4*b - 165 = -5*s. Calculate the remainder when 59 is divided by s.
28
Suppose n + 2*n + 4*r - 167 = 0, -2*r = -4. Suppose -f - 41 = -2*f. Let c = f + -27. Calculate the remainder when n is divided by c.
11
Let v(l) = -51*l**3 + l**2 + l. Let g be v(-1). Let j = g - 32. Suppose y - 18 = 5*k - 8, 2*k + 50 = 5*y. Calculate the remainder when j is divided by y.
9
Suppose -3*b - h + 72 = b, -54 = -3*b - 3*h. What is the remainder when 214 is divided by b?
16
Let q(z) = -3*z - 3. Let r be q(-2). Suppose h + 5*f = 23 - 5, 5*f - 44 = -r*h. Calculate the remainder when 22 is divided by h.
9
Suppose 3*x - 5*c = -x + 103