is divided by m.
11
Suppose -5*i = -2*z - 2221, 0*i - z = 5*i - 2227. What is the remainder when i is divided by 18?
13
Let s(b) = 2*b**3 - 10*b**2 - 3*b + 1. Let h be ((-16)/(-14) - 2)/(3/(-21)). What is the remainder when s(h) is divided by 15?
10
Suppose -2*g + 3*o + 18 = -5*g, -5*g - 21 = 2*o. Let w = -1 - g. Suppose v - 4*u = -0 - 2, 0 = -w*v + u + 24. Calculate the remainder when 39 is divided by v.
11
Suppose 5*x + 4*z - 12 = 0, 5*x = x - 5*z + 15. Suppose x = 5*s + 4 - 174. Calculate the remainder when s is divided by 19.
15
Let b(w) = 5*w - 44. Let z be (-570)/(-80) - (-1)/(-8) - -3. What is the remainder when b(z) is divided by 2?
0
Let r(f) = 20*f + 280. Calculate the remainder when r(-4) is divided by 17.
13
Let l be 1590/20*(-8)/(-3). Suppose 0 = 3*z - 283 - l. What is the remainder when z is divided by 56?
53
Calculate the remainder when (77/(-2) - -2)*(-4 - -2) is divided by (-6)/33 + 277/11.
23
Let k = 974 + -942. What is the remainder when 606 is divided by k?
30
Let p be -2 + -2 + -3 + 4. Let d be (-10)/(-3)*4*p. Let u = d + 50. Calculate the remainder when 69 is divided by u.
9
Suppose 0 = 540*u - 545*u + 120. Calculate the remainder when 1 + (-2 - 216/(-4)) is divided by u.
5
Let i = -39 - -17. Let q = i + 39. What is the remainder when -4 + 2350/34 + (-4)/34 is divided by q?
14
Suppose 0 = -2*o + 15*o - 234. What is the remainder when 34 is divided by o?
16
Let y = -30 - -29. Let p(d) = 6*d**2 + d. Calculate the remainder when 13 is divided by p(y).
3
Let d = -80 + 177. Let y = d + -50. What is the remainder when y is divided by 12?
11
Let n = -22 + 27. Suppose 0*v - 3*i + 7 = n*v, -2*v - 3*i = -1. Suppose 138 = v*y - 5*d, -5*d + 4*d + 254 = 4*y. What is the remainder when y is divided by 33?
31
Suppose 7*a - 72 - 1300 = 0. Calculate the remainder when a is divided by 34.
26
Let h = -183 - -202. Calculate the remainder when 337 is divided by h.
14
Let k be ((-6)/(-9))/(2/6). Suppose -3 = -k*q - 1. Calculate the remainder when 3 - q*-29*2 is divided by 16.
13
Let a = 98 + -92. Calculate the remainder when a is divided by 2.
0
Let k = -16 - -17. What is the remainder when 74 is divided by k*(-52)/(-4) - 2*-1?
14
Let m = 189 + -165. Suppose -6*h + 3*h = -354. Calculate the remainder when h is divided by m.
22
Suppose 1006 + 34 = 10*a. Suppose 0 = -5*q + 2*q + 3*t + 108, -a = -3*q + t. What is the remainder when 134 is divided by q?
32
Suppose -5*z + 3*z = -20. Let k = -1099 + 1147. Calculate the remainder when k is divided by z.
8
Let u = 14 - -6. Suppose 0 = -13*n + 14*n. Suppose n = 3*r - 7*r + 232. What is the remainder when r is divided by u?
18
Let o be (-4)/10 + 96/40. Suppose 0 = 2*k + o*k - 12. Suppose 5*f = 4*p - 244, -3*p - 20 = k*f - 230. What is the remainder when p is divided by 17?
15
Suppose 5*n + 0*n - 1375 = 0. Suppose 3*z - n = -4*c, c + 4*z = 2*z + 65. What is the remainder when 4 + -5 + 2 + c is divided by 15?
12
Calculate the remainder when 413/1 - (-14 + 5 - -9) is divided by 138.
137
Let h = 23 + -35. Let g be (-5)/((-75)/h)*-5. Suppose -a + 21 = g*m - 24, 2*m + 2*a = 30. Calculate the remainder when 17 is divided by m.
7
Let k(w) = 10*w**2 + w + 1. Suppose -5*t + 8 - 20 = 2*x, 0 = -4*t - 8. Let s be k(x). Suppose -6*p + 8*p - s = 0. What is the remainder when 14 is divided by p?
4
Suppose -3*r - 4*q + 37 = 0, -4*r + 3*q - q = -64. Let h = -137 - -210. What is the remainder when h is divided by r?
13
Let g = -757 - -789. Calculate the remainder when 574 is divided by g.
30
Let v = -127 - -276. Suppose 0 = 3*t + 5*h - v, -5*t + 2*h + 203 = -h. What is the remainder when t is divided by 17?
9
Let p(j) = j**2 - 2*j - 8. Let d be p(-3). Suppose -11*i = d - 106. Suppose -5*o - m = -77, -m = 2*o + o - 45. What is the remainder when o is divided by i?
7
Suppose -3*k - 5*h + 11 = 2, -5*h + 15 = 5*k. Let y(i) = 3*i - 20. What is the remainder when k is divided by y(7)?
0
Let y(o) = -o**3 - 11*o**2 - 3*o - 15. Let d be y(-8). Let n = -129 - d. What is the remainder when n is divided by 21?
12
Let w(c) = c. Let o(m) = -21*m - 7. Let z(h) = o(h) + 14*w(h). What is the remainder when z(-4) is divided by 5?
1
Suppose 24*x + 30 = 29*x. Suppose 2*t - 2 + 1 = r, -5*r = 2*t - 19. Let a = 5 - r. What is the remainder when x is divided by a?
0
Let g = -89 - -148. Calculate the remainder when 234 is divided by g.
57
Let x(h) = -2*h + 63. Calculate the remainder when 179 is divided by x(11).
15
Let i = -31 - -45. Suppose 86 = 2*g - 3*k, 5*g - 6*k - 173 = -9*k. What is the remainder when g is divided by i?
9
What is the remainder when 157 is divided by (182/(-16))/(99/(-792))?
66
Let m(s) = -3*s - 1. Let f be m(-1). What is the remainder when 28/(-6)*(-15)/f is divided by (20 + -21)*(-4 - (-5 - -14))?
9
What is the remainder when 52 is divided by 8*(-1 + 0) + 10?
0
Suppose -5*b = -2*b + 5*n + 3, -2*n = -5*b + 26. Calculate the remainder when (6 + -5)*(13 + 1) is divided by b.
2
What is the remainder when ((-9)/(-6))/((-3)/(-74)) is divided by 19?
18
Let c = 644 - 586. Calculate the remainder when c is divided by 13.
6
Suppose 5*z = 4*z + 34. Suppose 2*i = 164 - z. Let l(c) = -c**3 - c**2 - c + 17. Calculate the remainder when i is divided by l(0).
14
Let r(a) be the third derivative of -2*a**4/3 - 5*a**3/6 + 28*a**2. Calculate the remainder when 84 is divided by r(-3).
41
Let o(q) = -q**2 - 15*q + 5. Let y be o(-12). Suppose 4*f - y = -9. What is the remainder when 20 is divided by f?
4
Suppose -5 = -l - 0. Suppose 169 = -3*f - l*t - 2, -f + 4*t = 57. Let u = f + 105. What is the remainder when u is divided by 17?
14
Suppose 6*u - 4*u + 22 = -5*w, -4*w = -2*u + 14. Suppose -4*h - 9 + 29 = 0. What is the remainder when h is divided by 4 - 2*u/(-2)?
2
Suppose -4*x + 2 = -2*x. Let j(c) = -c**2 + 11*c + 2. Suppose 0 = 2*q - q - 11. Calculate the remainder when j(q) is divided by x.
0
Let o(f) = f + 22. Let p be o(11). Let s = p + -29. Suppose 123 = s*d - 313. Calculate the remainder when d is divided by 28.
25
Suppose -35*g = -45*g + 20. What is the remainder when 9 is divided by g?
1
Suppose 44 = 3*r + r. Let a(g) = -12*g - 5. Let i = -20 + 17. What is the remainder when a(i) is divided by r?
9
Let i be -3 + 2 + (-6)/(-2). Suppose 48 = -i*a + 5*a. Let p = 75 - 44. Calculate the remainder when p is divided by a.
15
Suppose -2*p + 3*v = 13, 0 = -4*p - v + 8 + 1. What is the remainder when 137/5 - (-2)/(-5) is divided by 2*(9/2 - p)?
6
Let k be (14/(-8))/((-3)/(-96)). Let v = -9 - k. What is the remainder when v is divided by 16?
15
Let w(y) be the second derivative of -y**4/6 - 19*y**3/6 - 3*y**2/2 + 11*y. Calculate the remainder when 59 is divided by w(-8).
17
Suppose 3*r - 159 = -3*g, 0 = -2*g - 4*r + r + 105. What is the remainder when g is divided by 40?
14
Let r(j) = 4*j + 6. Suppose 257 = 5*m + 3*k + 4, m - 5*k - 73 = 0. Calculate the remainder when m is divided by r(2).
11
Let z(v) = 12*v**2 - v - 1. Let h be z(-1). Let n = -2 + h. Let i(l) = l**3 - 10*l**2 + 2*l - 1. Calculate the remainder when i(n) is divided by 10.
9
What is the remainder when 36/1*10/15 is divided by 22?
2
Let i(f) = f**3 + 2*f**2 + 2*f. Let n be i(-2). Calculate the remainder when ((416/(-4))/(-4)*-1)/(-2) is divided by ((-2)/3)/(n/54).
4
Let u = 3 - -19. Calculate the remainder when 78 is divided by u.
12
Let z = -51 - -63. Suppose -5*k = 5 - 105. Suppose 4*v + k = 104. Calculate the remainder when v is divided by z.
9
Suppose 0 = o + 4*h - 25, 31 = -o + 2*o + 2*h. Let b = -33 + o. Calculate the remainder when 18 is divided by b.
2
Suppose -2*p - 18 = -5*p - k, 9 = -3*k. Suppose q + 4*t = 0, -2*q - 5*t = -4*q. Suppose q = 5*r - 6*r + 12. Calculate the remainder when r is divided by p.
5
Suppose 5*m - 4*a = -40, 2*a = a. What is the remainder when 57 is divided by (-122)/m - (-8)/(-32)?
12
Suppose 3*t - 129 = -2*i, 3*t - 171 = -3*i + 6*t. What is the remainder when i is divided by 31?
29
What is the remainder when 4 - (-1)/((-4)/(-96)) is divided by 1265/85 + 2/17?
13
Let o(u) = u**3 + 5*u**2 - 3*u - 2. Let r(j) = -j**3 + 16*j**2 + 22*j - 36. What is the remainder when r(17) is divided by o(-4)?
23
Let c(a) = a**3 - 18*a**2 + 24*a + 75. Calculate the remainder when c(17) is divided by 45.
14
Let h(u) = -4*u + 12. Let d be h(4). What is the remain