r - 7. Let w = 42 + r. What is the remainder when w is divided by (-22)/(-1) - (4 - 0)?
17
Suppose -17*c - 14*c + 589 = 0. What is the remainder when c is divided by 5?
4
Suppose 2*t - 71 = -5*b + 8*b, -4 = -4*b. Calculate the remainder when 70 is divided by t.
33
Let d = 29 + -26. Suppose 3*h - 3*k - 3 = 9, 2*k = -2. What is the remainder when h is divided by d?
0
Suppose 4*p + 0*p = 8. Suppose 0 = -3*w + 2*t - 36 + 5, -4*w - 18 = p*t. Let h(b) = -3*b - 13. Calculate the remainder when 30 is divided by h(w).
6
Suppose 22*i - 7*i - 1860 = 0. What is the remainder when i is divided by 66?
58
Let t(n) = n**3 - 7*n**2 + 8*n + 8. Let c(o) = o**2 + 8*o - 26. Let s = 140 + -152. Calculate the remainder when t(7) is divided by c(s).
20
Let p(m) = 12*m + 5. Suppose 4*r + 14 + 2 = 0. Let n = 3 - r. What is the remainder when p(n) is divided by 23?
20
Let f = -947 + 1033. Let r(g) = 2*g**2 + 2*g + 4. What is the remainder when f is divided by r(4)?
42
Let c = 9 + -6. Let f = -5 + 9. Suppose -c*y = -f*y + 14. What is the remainder when y is divided by 5?
4
Suppose 0 = -5*r + 54 + 106. Let i = -12 + r. Suppose 2*a - 8 = i. What is the remainder when a is divided by 4?
2
Calculate the remainder when 158 is divided by -4*(-1)/(-1) + 35 + 18.
11
Suppose 0*i + i = 0, 4*l = i - 4. Let c(n) = 35*n**3 - n**2 + 1. Let y be c(l). Let m = y - -40. Calculate the remainder when 14 is divided by m.
4
Suppose -3*r + 75 = 2*r. Suppose 4*q = o + 102, -3*q - 22 = 3*o - 106. Calculate the remainder when q is divided by r.
11
Let g be (52/10)/(6/(-30)). Let d = 44 + g. Suppose -28*m + 23*m = -345. What is the remainder when m is divided by d?
15
Suppose -20*g + 155 = -19*g. Let t = g + -104. Suppose -r = 2*j - t, 2*j - 51 - 5 = -2*r. Calculate the remainder when 91 is divided by j.
22
Suppose 4*q + 3*j - 1327 = 0, 0 = 2*j - 1 - 9. Suppose -4*g = 2*c - q, -4*c + 5*g = -0*c - 669. What is the remainder when c is divided by 14?
12
Let i(u) = u**2 + 18*u - 67. What is the remainder when 226 is divided by i(6)?
72
Suppose 3*f - 5*k - 137 = 2*f, -3*f - 3*k = -429. Suppose 0 = -v - 2*z + 6*z + f, -259 = -2*v + 3*z. What is the remainder when v is divided by 14?
10
Suppose m - 135 = 4*w, -2*m + m = 5*w - 171. What is the remainder when m is divided by 39?
34
Let d be (1/((-1)/(-3)))/(6/(-162)). Let h = d - -103. Calculate the remainder when 38 is divided by h.
16
Calculate the remainder when 160 is divided by (-43362)/(-511) + (-1)/(-7).
75
Suppose -3*r = c + 2*r + 3, 5*c - 8 = -2*r. Let t(i) = -28*i + 1. Let g be t(c). Let s = g + 84. What is the remainder when s is divided by 10?
9
Suppose 23*a + 72 = 20*a. What is the remainder when 4*(4/1)/1 is divided by ((-16)/a)/(2/30)?
6
Let l(v) = -2*v**2 - 17*v - 15. Let c be l(-7). Suppose 247 = c*x + 49. Calculate the remainder when 131 is divided by x.
32
Let s(r) = -16*r - 15. Let l = 27 - 31. Calculate the remainder when s(l) is divided by 18.
13
Let n(d) = -8*d + 12. Let a be n(-11). Suppose 0*t + 138 = 2*t. Let i = a - t. Calculate the remainder when i is divided by 11.
9
Suppose 0 = 3*u - 5*u + 4*h - 88, 2 = h. Let r = -18 - u. Let a(q) = 2*q - 2. Calculate the remainder when r is divided by a(7).
10
Let q = -9 - -13. Suppose q*i + 6 = 34. What is the remainder when i is divided by (-150)/(-210)*7/1?
2
Let q be 2 - 0 - ((-6)/(-2) - 6). Suppose -544 = -q*x - 3*x. Calculate the remainder when x is divided by 23.
22
Suppose 17 = -9*a + 278. Let u = 10 + 0. Calculate the remainder when a is divided by u.
9
Suppose 5*b = -15*b + 2260. Calculate the remainder when b is divided by 23.
21
Suppose 0*w + 48 = 4*w. Calculate the remainder when 11 is divided by (-2)/4 - (5 + (-102)/w).
2
Let d = -239 + 346. Suppose 43*i = 40*i + 165. What is the remainder when d is divided by i?
52
Let p(w) = -w + 16. Let c be p(14). Calculate the remainder when (57*(-3 + c))/(-1) is divided by (-5)/1*-6*4/12.
7
Let j = -57 - -194. Suppose -q + 6 = 5*s - 147, 0 = q + s - j. What is the remainder when q is divided by 27?
25
Let q = 93 + -50. Suppose n + 0*n = 67. Suppose 0*j - 3*l + n = 5*j, -3*j + q = -l. What is the remainder when 41 is divided by j?
13
Let q = 127 + -74. Let h = 79 - q. Calculate the remainder when 75 is divided by h.
23
Suppose -24 = 2*v - 8. Let d be ((-1)/1)/(9 + v). Calculate the remainder when 5 is divided by d - -6*3/6.
1
What is the remainder when 149 is divided by 15/35 + 1735/35?
49
Let j(v) = v - 4. Let o be j(-12). Let m = -27 - o. Let p(x) = x**3 + 13*x**2 + 17*x + 13. What is the remainder when p(m) is divided by 23?
22
Let z = 10 + -6. Let j(a) be the third derivative of -7*a**4/24 + 26*a**3/3 + 2*a**2 + 2*a. Calculate the remainder when z is divided by j(7).
1
Let p(k) = 5*k - 4. Suppose 0 = 5*s + 3*d - 26, 4*d + 2 = s + 3*d. Let x(v) = -1. Let z(w) = s*x(w) - p(w). Calculate the remainder when z(-2) is divided by 6.
4
Let m(v) = v**3 + 3*v**2 + 3*v + 2. Let p be m(-2). Suppose -4*r = -p*r - 68. Let u(k) = 17*k**2 + 2*k + 1. What is the remainder when u(-2) is divided by r?
14
Let q(n) = n**2 + 10 - 1 + n + 9*n. Let s be q(-8). Let l = s - -12. What is the remainder when 13 is divided by l?
3
Suppose -h = 3*y - 101, 7*h = -3*y + 3*h + 116. What is the remainder when 81 is divided by y?
17
Let t = -122 - -130. Calculate the remainder when 12 is divided by t.
4
Suppose d + 0 = 4. Let a(o) = 3*o**3 + 5*o**2 + 8*o + 6. Let r be a(-2). Let f = -9 - r. Calculate the remainder when f is divided by d.
1
Let y be -1*4/10*-5. Let p be (y/(-4))/((-2)/(-44)). Let q = -1 - p. What is the remainder when 37 is divided by q?
7
Let j(z) = z**3 + 34*z**2 - 42*z + 38. Calculate the remainder when j(-35) is divided by 22.
19
Let d(l) = -8*l**3 - 17*l - 31. Calculate the remainder when d(-2) is divided by 27.
13
Let s = 23 - 28. Let a = s - -8. Suppose a*l = 3*v + l - 17, l - 4 = -v. Calculate the remainder when v is divided by 3.
2
Calculate the remainder when 191 + 1 - 5*4/(-20) is divided by 18.
13
Let g be 18/(-8) - 3/(-12). Let q(m) = 19*m**2 + 2*m - 1. Calculate the remainder when q(g) is divided by (-25)/(-100)*2*-1*-74.
34
Suppose 59 = b - 2*m - 130, 10 = -5*m. What is the remainder when b is divided by 31?
30
Let a(n) = 16*n**2 - 1. Let f be a(-2). Let z = f - 55. Suppose 0 = -4*q - t + 16 + 39, -3*q + 5*t = -47. What is the remainder when q is divided by z?
6
Let h(i) = -29*i - 14. Calculate the remainder when h(-3) is divided by 15.
13
What is the remainder when (111/18 - 4/6)*14 is divided by 16?
13
Let n(f) = 6*f - 11. Suppose 3*h - 8*j - 38 = -3*j, -h - j = -10. Calculate the remainder when n(9) is divided by h.
10
Let w(l) = -4*l + 6. What is the remainder when 40 is divided by w(-2)?
12
Let o(y) = 7*y + 10 + 6 - 8*y + 4. Let s(z) = -z + 119. Calculate the remainder when s(0) is divided by o(-10).
29
Let p(c) = -c**2 + 6*c - 8. Let b be p(6). Let z be -4*(6/b + 0). Suppose 0 = z*h - 5*h + 38. What is the remainder when h is divided by 7?
5
Calculate the remainder when 107 + -9 + 52/4 is divided by 33.
12
Let u be 0 + -4 - (-11 - -7). Suppose -o + 5 + 4 = u. Calculate the remainder when o is divided by 6.
3
Suppose 5*m + 4 + 6 = 0, 0 = -2*x + 5*m + 22. Suppose -52 = -2*l - x. Suppose -i + 62 + 5 = 0. What is the remainder when i is divided by l?
21
Let f(l) = -7*l. Let t be f(-1). Calculate the remainder when 52 is divided by (-1159)/(-133) - (-2)/t.
7
Suppose 5*d = 5*p + 90, -d + 6 = -0*d + 5*p. Let q(l) = 14*l + 5. What is the remainder when q(4) is divided by d?
13
Suppose 0*x + 674 = 3*u + 5*x, -5*u + 1110 = 5*x. Calculate the remainder when u is divided by 11.
9
Let x(l) = -l**2 + 25*l + 2. Let s be x(25). Suppose s*p - 174 = -p. What is the remainder when p is divided by 15?
13
Suppose -3 = -2*y - 5, -j + 17 = -3*y. Suppose -76*r + 740 = -56*r. Calculate the remainder when r is divided by j.
9
Suppose -4*g = -4, 0 = m - 5*g - 160 + 124. Calculate the remainder when m is divided by (-1 - -11) + -4 + 5.
8
Suppose -179 = 3*u - 1463. Calculate the remainder when u is divided by 86.
84
Suppose -83*c - 3419 = -9561. Calculate the remainder when 274 is divided by c.
52
Let c = -42 + 73. Calculate the remainder when 107 is divided by c.
14
Suppose -7*i = 2*k - 5*i - 136, -3*i = -4*k + 272. What is the remainder when 136 is divide