at is the remainder when 143 is divided by 4/(-6*(-1)/72)?
47
Let w(s) = -19*s - 33. Let m(t) = t. Let n(z) = 5*m(z) + w(z). Calculate the remainder when n(-4) is divided by 12.
11
Suppose 3*h - 20 = -2*z, -4*h - 1 = -3*z - 5. Suppose -8*p + 3*p = -5, z*m = 4*p + 4. What is the remainder when 30*(1 - m/4) is divided by 8?
7
Let b(x) = -x**2 + 24*x + 109. Suppose r + r - 22 = -5*o, -4*o + 28 = -r. Calculate the remainder when b(27) is divided by o.
4
Let o(k) = 77*k**3 + 2*k**2 - k. Let v = 150 + -64. Let a = v + -66. Calculate the remainder when o(1) is divided by a.
18
Let i be 29/(0 + (-1 - -2)). Let v = i + -22. What is the remainder when 26 is divided by v?
5
Suppose 32*v = 173 + 595. Calculate the remainder when 320 is divided by v.
8
Suppose c - 28 = 3. Let i = 57 - c. Suppose d - 7*z - 83 = -2*z, d = 2*z + 95. What is the remainder when d is divided by i?
25
Calculate the remainder when 135 is divided by ((-3 + 59)/(-8))/((-2)/4).
9
Let n = 1718 - 1266. Calculate the remainder when n is divided by 154.
144
Let f(l) = 33*l**2 + l. Suppose 0 = 2*v - 5*v. Suppose v = -5*i + 3*c + 17, 0*i - 2*i + 6 = -c. What is the remainder when f(i) is divided by 9?
7
Let c(i) = -i**3 + 6*i**2 + 1. Suppose 4*x + w - 69 = -24, -5 = -3*x + 5*w. What is the remainder when c(3) is divided by x?
8
Suppose -o + 14 = 4*m, m + 3*o - 6 + 8 = 0. What is the remainder when 92 is divided by m?
0
Suppose 9*l + 185 - 725 = 0. Suppose 2*y = -2*a + 366 - l, a + 2*y - 153 = 0. What is the remainder when a is divided by 39?
36
Let q = -145 - -149. Suppose 2 = y - 0*y - 4*n, 3*y - 3*n - 15 = 0. What is the remainder when y is divided by q?
2
Let w(f) = -3*f - 18. Suppose -4*u + 641 = 5*t, 5*t - 322 = -2*u + t. What is the remainder when u is divided by w(-15)?
24
Let k = 31 + -23. Suppose 2*r = -4*h + 26, -2*r = 2*h - 7*h + 10. Suppose 38 = r*p - 27. Calculate the remainder when p is divided by k.
5
Let z = 94 + -60. Let b(m) = m**3 - m**2 + 2*m + 12. Suppose 0*v = -2*v + 8, 2*v = 2*t + 8. What is the remainder when z is divided by b(t)?
10
Suppose 2*j + 0*n - 18 = -2*n, 5*j + 4*n = 46. Let l = -9 - -22. Suppose -l*b + 54 = -j*b. What is the remainder when b is divided by 10?
8
Let q be 1/1 + 3 + -7. Let b be (8/q)/(23/(-69)). Let z = b + 12. Calculate the remainder when 36 is divided by z.
16
Let c(t) = 2*t**3 - 28*t - 21. What is the remainder when c(9) is divided by 9?
6
Suppose -2*b + 3*h = -11 - 42, -2*b = 2*h - 48. Suppose 0 = 4*r + b - 61. Suppose -13*k + r*k + 56 = 0. What is the remainder when 27 is divided by k?
13
Let u(w) = 2*w**2 - w - 17. Let p be u(-5). Suppose 5*h - p = 142. Calculate the remainder when h is divided by 19.
17
Let a = -27 - -34. Suppose k = 8 + a. Calculate the remainder when 59 is divided by k.
14
Let w(i) be the third derivative of -2*i**2 - 1/12*i**4 - 1/6*i**3 + 2/5*i**5 + 0*i + 0. What is the remainder when w(-1) is divided by 7?
4
Suppose -12*c = -0*c - 96. Calculate the remainder when 49 is divided by c.
1
What is the remainder when ((-216)/(-6))/4 + -3 + 99 is divided by 36?
33
Calculate the remainder when 128 is divided by (14/(-8) - 1)/((-121)/968).
18
What is the remainder when 1163 is divided by (-32)/56 - (2196/(-21) + -2)?
103
Suppose 60 = -3*p + 171. Suppose 3*b - 2*f = f + 15, 5*b = 3*f + 21. Suppose 2*t = -2*t - b*w + 46, 0 = -4*w - 8. What is the remainder when p is divided by t?
11
Let r = -4 + 9. What is the remainder when ((-20)/30)/(2/(-48)) is divided by r?
1
What is the remainder when 1767 is divided by (1428/(-119))/(3/(-2))?
7
Let n(j) = 3*j - 11. Let q be n(19). Calculate the remainder when (-140)/105 + 3/(9/q) is divided by 4.
2
Suppose -12*s + 414 = -15*s. Let k = 149 + s. Calculate the remainder when k is divided by 4.
3
Let a = 25 - -28. Suppose a = b + 8. Calculate the remainder when 179 is divided by b.
44
Let x(j) = -j**2 + 1. Let z(f) = 4*f**2 - 7*f - 27. Let k(v) = -5*x(v) - z(v). Calculate the remainder when k(-7) is divided by 12.
10
Let m(b) = -b**3 + 6*b**2 - 2*b + 3. Let q be m(6). Let v = q + 15. Let t(c) = -c**3 + 6*c**2 + 3. What is the remainder when t(5) is divided by v?
4
Suppose 14 = -9*t + 491. What is the remainder when 183 is divided by t?
24
Suppose -t - 40 = -9*t. Let w(o) be the second derivative of o**4/2 + o**3/2 + o**2/2 - o. Calculate the remainder when w(-2) is divided by t.
4
Suppose -2*j + 34 = 4*v, -5*j - 5*v = 14 - 124. Suppose 2*h + 5*t = 136, -2*h + 144 = 2*t + t. Calculate the remainder when h is divided by j.
24
Let j(y) = -y**3 + 14*y**2 - 19. Let d be j(13). Suppose 33*z = 38*z - d. What is the remainder when 178 is divided by z?
28
Let r(b) = -b**3 + 4*b**2 + b - 4. Let y(z) = 2*z + 17. Let s be y(6). Suppose s = -0*g + g. Calculate the remainder when g is divided by r(3).
5
Let b = -1429 - -1588. What is the remainder when b is divided by 6?
3
Let c(z) = 7*z**3 + 2*z**2 - 1. Let g be c(1). Suppose -g*x + 152 = -4*x. What is the remainder when 151 is divided by x?
37
Suppose 15*a - 50 = 11*a - 2*y, 3*a = 5*y + 70. Calculate the remainder when a is divided by 5.
0
Suppose -5*m + 858 = m. Suppose m = 2*l - 117. Calculate the remainder when l is divided by 19.
16
Suppose 5*f - 4*l + 295 = l, -3*l + 291 = -5*f. What is the remainder when f/(-95) - 472/(-5) is divided by 24?
23
Calculate the remainder when 41 is divided by (45 + -5)*99/264.
11
Let a = -74 - -81. What is the remainder when a is divided by 1?
0
Suppose -3*g + 313 - 43 = 0. Let n = 3 + 2. Suppose -n*w = 2*v - 119, -w - 2*v - 9 = -36. What is the remainder when g is divided by w?
21
Let l(h) be the first derivative of -h**3/3 + 3*h**2/2 + 2*h + 2. Let f be l(5). Let o = f + 25. What is the remainder when o is divided by 5?
2
Let q(s) = 22*s - 76. What is the remainder when 893 is divided by q(6)?
53
Suppose 5*f - 4*t - 1970 = -7*t, -4*f + 1544 = -4*t. What is the remainder when f is divided by 28?
27
Suppose -553 = 6*w - 841. Calculate the remainder when 237 is divided by w.
45
Suppose -2 = -u - 5*t + 5, 0 = -5*u + 4*t + 64. Let v = u + -9. Suppose 2*r - v*z = -4, 7*r + 5*z = 3*r + 36. What is the remainder when 14 is divided by r?
2
Let j = -447 - -503. What is the remainder when j is divided by 15?
11
Suppose -8*w + 4*z = -11*w + 114, 2*w - 5*z - 53 = 0. Calculate the remainder when 102 is divided by w.
0
Let z(r) be the second derivative of r**4/4 - 5*r**3/3 - 11*r**2/2 + 35*r. What is the remainder when z(5) is divided by 4?
2
Suppose -52 = -5*n + 98. Calculate the remainder when n is divided by 10/((-30)/9) - -14.
8
Let z(f) = 4 - f - 14*f + 3*f. What is the remainder when z(-9) is divided by 38?
36
Let f = -784 + 1017. What is the remainder when f is divided by 14?
9
Let q = -1924 - -1971. Calculate the remainder when 135 is divided by q.
41
Suppose 0 = -4*o - 11 + 31. Calculate the remainder when 4/10 - 93/(-5) is divided by (-25)/10*(1 - o).
9
Let q be (2 - 35/15)*-57. Let r = 74 + q. Calculate the remainder when r is divided by 19.
17
Let l = -66 - -106. Let i = 46 - l. Let k = -41 + 82. What is the remainder when k is divided by i?
5
Let k = 96 + -201. Let u = -48 - k. Calculate the remainder when u is divided by 20.
17
Let b(h) = -h**3 + 15*h**2. Let f be b(15). Suppose 0 = 6*q - f*q - 24. What is the remainder when 10 + 3 + (-16)/q is divided by 4?
1
Calculate the remainder when 32 is divided by 6 - (-8 + 2)/3.
0
Let z be 396/9*2/8. Let r = z + -3. Suppose f - r = -0*f + g, -g = -4*f + 23. Calculate the remainder when 14 is divided by f.
4
Let b be (-8)/28*(-1 + -6). Suppose q - 97 = -4*n, 135 = -b*n + 7*n + 4*q. What is the remainder when 62 is divided by n?
16
Suppose 5*f + 1 = 4*u - 1, 2*f - 13 = -3*u. Suppose t + 3*t - 9 = -v, -2*t = -f*v - 12. Calculate the remainder when 31 is divided by (-32)/(-3) + v/(-9).
9
Let n(j) be the second derivative of -j**4/12 + 8*j**3/3 + 5*j**2 + 28*j. Calculate the remainder when n(8) is divided by 19.
17
Suppose 0 = 3*b + 2*a - 104, -b - 5*a = -4*a - 34. What is the remainder when b is divided by 14?
8
Suppose 0 = -4*y - 5*o + 76, -2*o = 2*o + 16. Let k be (8/y)/(2/138). Let t = 51 - k. Calculate the remainder when t is divided by 15.
13
Let b be 3 + 13/(104/384). Let h = -1 + 1. Suppose h = z - 0*z - b. What is the remainder when z is divided by 13?
12
Suppos