.
4
Suppose 0 = -6*m + 82 - 16. Suppose 42 = m*z - 9*z. What is the remainder when z is divided by 5?
1
Let s be (-4 + (-13)/2)*-2. Let b be (-716)/(-28) - 12/s. Let c = -6 + b. What is the remainder when 74 is divided by c?
17
Suppose -4*o + 247 = -0*o + f, -5*f = -4*o + 277. Suppose h - o = -0*h. Calculate the remainder when h is divided by (-24)/(5/10*15)*-5.
15
Suppose -7*u = -6*u - 4*d - 60, 5*d = -4*u + 135. What is the remainder when 49 is divided by u?
9
Let y = -1082 - -1255. Calculate the remainder when 186 is divided by y.
13
Suppose 0 = -5*a + 34 + 66. Let v = 13001 - 12963. What is the remainder when v is divided by a?
18
Let z = -1 - -11. Calculate the remainder when (-18)/(-63) - z/(-14) is divided by 1.
0
Let o = -159 - -204. Let f(t) = -t**2 - 9*t - 8. What is the remainder when o is divided by f(-7)?
3
Let c = 518 - 506. What is the remainder when 60 is divided by c?
0
Let l be (-4)/(1/(5/(-2))). Let y be 416/(-9) - l/(-45). Let d = -21 - y. Calculate the remainder when 48 is divided by d.
23
Let r(p) = -5*p**2 + 14*p - 16. Let o(u) = -u**2 - 1. Let x(b) = -6*o(b) + r(b). What is the remainder when 13 is divided by x(-15)?
3
Let y = -4 - -12. Let c = y - -15. What is the remainder when c is divided by 9/6*(-26)/(-3)?
10
Let v = 2197 - 2190. Calculate the remainder when 1013 is divided by v.
5
Let q = 164 + -132. Let o = q + -17. Calculate the remainder when 28 is divided by o.
13
Suppose 26*s = 4*v + 27*s - 74, -s = v - 20. What is the remainder when (-24)/(6/(-16) - 0) is divided by v?
10
Let q = 5581 + -5561. Let k(d) = -31*d + 3. What is the remainder when k(-3) is divided by q?
16
Let n(w) = -4*w**3 + 2*w + 1. Suppose 0 = -8*m + 3*m + 360. Let v = 88 - m. What is the remainder when n(-2) is divided by v?
13
Suppose -3*y + 4*y = 3*u - 951, 2*u = 5*y + 647. What is the remainder when u is divided by 19?
12
Suppose 4*b = 5*c + 137, b + 5*c = 6*b - 170. Suppose -b = 4*m + 19. Calculate the remainder when (-4)/26 - 366/m is divided by 6.
4
Suppose 2*f - c = 112, 3*c = 4*f - 192 - 28. Calculate the remainder when 437 is divided by f.
31
Suppose -3*v = f - 2*f - 4, 2*v = -f + 6. Suppose -v*d + 214 = -0*d. What is the remainder when d is divided by 27?
26
Suppose 3*q + q + 4 = -4*v, 35 = 5*v - 3*q. Suppose v*l = 20, 0*i - 3*l - 30 = -3*i. Let s = -271 + 275. What is the remainder when i is divided by s?
3
Let h be (-1)/(-2)*-1*-12. Suppose h + 0 = 2*j + 2*i, -4*j - 2*i + 14 = 0. Let k = -699 + 718. Calculate the remainder when k is divided by j.
3
Let t(c) be the first derivative of -c**2/2 + 5*c - 11. What is the remainder when 24 is divided by t(-8)?
11
What is the remainder when (-363)/(-22) - ((-9)/6 + 1) is divided by 6?
5
Let g be ((-7)/4)/((-1)/(-4)). Let x = g - -12. Suppose -2 = -3*u + 4*d, x*u - 4*d = -2*d + 22. Calculate the remainder when 15 is divided by u.
3
Let x(a) = a**3 + 8*a**2 - 10*a - 2. Suppose -5*m = 4*l - 6 + 59, -4*m = l + 38. Calculate the remainder when 11 is divided by x(m).
4
Suppose 7*p = 2*p - 10. Let s = 13 + 3. What is the remainder when (-305)/(-10) - p/(-4) is divided by s?
14
Let v = -11 + 14. Suppose 3*x + 2*y - v*y - 314 = 0, -4*x = 4*y - 424. Calculate the remainder when x is divided by 27.
24
Suppose -18*i = -22*i + 3*n + 362, 271 = 3*i - 2*n. What is the remainder when 294 is divided by i?
27
Let n(m) = -16*m - 4. What is the remainder when n(-2) is divided by 10?
8
Let w(u) = u**2 - 19*u + 20. Let n(c) = 5*c**2 - 96*c + 100. Let b(z) = 2*n(z) - 11*w(z). Calculate the remainder when b(11) is divided by 16.
14
What is the remainder when 81 is divided by (-36)/54*-2*(-138)/(-8)?
12
Let i = 95 - 60. Suppose 0 = -2*b + 9 + i. Calculate the remainder when (2/(-4) + (-1197)/14)/(-1) is divided by b.
20
Let k(x) = 18*x + 207. Calculate the remainder when 83 is divided by k(-10).
2
Let g(p) = -p**3 - 3*p**2. Let h be g(-5). Let w = -15 + h. What is the remainder when (122/10)/(7/w) is divided by 16?
13
Let w(b) = -b**3 - 8*b**2 - 8*b - 4. Let f be w(-7). Suppose -6 + 60 = f*s. What is the remainder when s is divided by 5?
3
Let a(m) = m**3 - m + 6. Let b(i) = -i**3 - 4*i**2 + 4*i - 3. Calculate the remainder when a(0) is divided by b(-5).
0
Let o(j) = 32*j**3 + j**2. Suppose 4*g - 1 = 3*g. Calculate the remainder when o(g) is divided by 162/(-63)*-14*1/2.
15
Suppose -390*n = -387*n - 987. What is the remainder when n is divided by 66?
65
Let v = -347 + 393. Calculate the remainder when 71 is divided by v.
25
Let c = 336 - 329. Suppose -2*z - j = -112, -5*z + 280 = j + 3*j. Suppose -z = -3*w + d, 0*w + w = d + 18. Calculate the remainder when w is divided by c.
5
Suppose -3*z = -44 - 4. Suppose -c - 4*i + 12 = 3, 3*c = 2*i + 27. What is the remainder when z is divided by c?
7
Suppose 5*q - 189 = -4*q. Let a = q - 3. What is the remainder when (22/(-8))/(1/(-12)) is divided by a?
15
Let b(j) = -2*j**3 + j**2 - 2*j - 14. What is the remainder when 153 is divided by b(-3)?
43
Let u(i) = 7*i**2 - 2*i + 1. What is the remainder when (-15)/(-45) - 166/(-6) is divided by u(1)?
4
Let t(h) = 3*h**3 - 5*h**2 + 6. Suppose -3*o - 2*o + 45 = 0. Calculate the remainder when t(3) is divided by o.
6
Let h(c) = 7*c + 37. Let y(b) = -9*b**3 + 2*b + 3. What is the remainder when y(-2) is divided by h(0)?
34
Let t = 469 + -377. Calculate the remainder when 182 is divided by t.
90
Let t(y) = y**3 - y**2 + 10*y - 4. Let j(q) = q**3 - 2*q**2 + 9*q - 5. Let l(p) = 5*j(p) - 4*t(p). Calculate the remainder when 61 is divided by l(6).
19
Suppose 2*t - 22 = -0*i - 2*i, i + 1 = 3*t. Calculate the remainder when 28 is divided by i.
4
Suppose -12*l + 15*l - 63 = -3*h, 3*l - 56 = 4*h. Calculate the remainder when 20 is divided by l.
0
Suppose 6*s - 4336 = -502. What is the remainder when s is divided by 32?
31
Let q(x) = -x**2 - 6*x + 2. Let n(k) = 2*k + 11. Suppose 0 = -0*c + 6*c. What is the remainder when n(c) is divided by q(-5)?
4
What is the remainder when 2/(-10) - (-1302)/10 is divided by (5 - 4) + 84/(5 + -1)?
20
Let j = -114 + 56. Let f = j + 102. What is the remainder when f is divided by ((-36)/(-10))/(14/35)?
8
Let n = -43 - -122. Let z = n + -65. What is the remainder when 41 is divided by z?
13
Let h = 666 - 646. What is the remainder when 471 is divided by h?
11
Suppose 4*t - 132 = 4*s, 4*t - 8*s + 11*s = 104. Suppose -5*q = -2*q - 45. What is the remainder when t is divided by q?
14
Let j(o) = 14*o - 6. Suppose -u - u + 6 = 0. Let f(p) = 43*p - 18. Let h(b) = u*f(b) - 8*j(b). Calculate the remainder when h(5) is divided by 20.
19
Suppose 4*b - 368 = -0*b. Suppose -2*k = -3*x + 81 + 7, -3*x - 2*k = -b. Let h = -186 + 303. What is the remainder when h is divided by x?
27
Let r(k) = k**3 - 6*k + 3. Let m be r(3). Calculate the remainder when (-5)/20 - (-723)/m is divided by 21.
18
Suppose 0 = -16*h + 120 + 504. Calculate the remainder when 151 is divided by h.
34
Let q = -632 + 652. Suppose 15 + 18 = 4*j + 3*b, 0 = j - 2*b. Suppose j - 187 = -2*i - 3*p, 3*i + 2*p = 284. Calculate the remainder when i is divided by q.
18
Suppose -f = 5*z - 420, 5*z - 420 = -0*z + f. Calculate the remainder when z is divided by 16.
4
Suppose p = 2*j + 207, -5*j - 13 + 3 = 0. What is the remainder when p is divided by 34?
33
Suppose 4*o + 23 = -9. Let d = 15 + o. Let t(a) = -a**3 - 9*a**2 + a + 74. What is the remainder when d is divided by t(-8)?
1
Let j(m) = 8*m + 12. Let q be j(5). Suppose 9*s - 4*s = g - q, -s - 5 = 0. Calculate the remainder when g is divided by 16 - (1 - (-1 + 0)).
13
Let n be (-9)/(-5) + -2 - 156/(-30). Let u(d) = -2*d**2 + 10*d + 8. Calculate the remainder when u(n) is divided by 8.
0
Let m(c) = 28*c**2 + 1. Let r = 0 - -1. What is the remainder when m(-1) is divided by (-2)/((6 - r)/(-25))?
9
Suppose 2*h - 4*h - 2*h = 0. Suppose 0 = x - h*x - v - 27, -5 = -5*v. What is the remainder when 108 is divided by x?
24
Let w(k) = -k**2 + 10*k - 15. Let d be w(7). What is the remainder when (-4)/d - (-1059)/9 is divided by 30?
27
Calculate the remainder when -5 - (-5 - 0) - -32 is divided by 4.
0
Suppose k - 2*q = 10, -15 = -k - 4*q + q. Let c(l) = -4*l - 104. Calculate the remainder when c(-31) is divided by k.
8
Let v(k) = k**2 + 11*k + 33. Let h = 47 + -57. Calculate the remainder when 67 is divided by v(h).
21