when w is divided by f.
7
Let z be 2/3 - (-1246)/(-6). Calculate the remainder when 33 is divided by 6/8 - z/12.
15
Let w(s) = -s + 84. Let n be w(0). Suppose 0 = -7*x + 4*x + n. Let l = 807 + -797. Calculate the remainder when x is divided by l.
8
Suppose 306 = 7*t - 4*t. Suppose t = 7*i - i. What is the remainder when 49 is divided by i?
15
Let a = -546 + 593. Calculate the remainder when 323 is divided by a.
41
Let w(a) = 2*a**2 - 9. Calculate the remainder when 11/(-77) - (-624)/7 is divided by w(-4).
20
Calculate the remainder when (-9)/18 + (-7)/2 - -821 is divided by 91.
89
Suppose n + 6 - 7 = 0. Calculate the remainder when ((-42)/(-35))/(n/40) is divided by 10.
8
Suppose 0 = -3*p + 64 + 20. What is the remainder when 138 is divided by p?
26
Let c = -50 - -53. Suppose -2*u - 3*u = 4*y + 21, c*y + 7 = -2*u. Calculate the remainder when 7 is divided by y.
0
Let q = -5 + 11. Suppose 4*b + 115 - 175 = 0. Let x = b - q. Calculate the remainder when 15 is divided by x.
6
Let u = 537 + -515. What is the remainder when 76 is divided by u?
10
Suppose -133*d + 76 = -129*d. Let y = -170 - -244. What is the remainder when y is divided by d?
17
Calculate the remainder when (28*2)/2 - 4 is divided by 4/(-2)*-2 - -1.
4
Suppose 4*k - 3*k = h - 40, -h - k + 32 = 0. Suppose h = 83*j - 79*j. What is the remainder when j is divided by 4?
1
Let y = 67 - 28. Let g(q) = -10 - 2*q + 7 - 11 + 1. What is the remainder when y is divided by g(-10)?
4
Let g(r) = 5*r**2 + 12*r - 17. Calculate the remainder when g(-12) is divided by 51.
49
Let n(m) = -m**3 + 13*m**2 - 11*m - 43. What is the remainder when n(11) is divided by 16?
14
Let q(f) = f**3 - 3*f**2 - 71*f. Calculate the remainder when 109 is divided by q(-7).
4
Let u(r) be the third derivative of -r**6/120 + r**5/10 - 5*r**4/24 - r**3/2 + 2*r**2. Let w = 123 - 119. Calculate the remainder when u(4) is divided by w.
1
Suppose -l = 20*l - 1680. What is the remainder when l is divided by 22?
14
Suppose -t - t - 620 = 0. Let h = -175 - t. Calculate the remainder when 54 is divided by 8/(-28) + h/7.
16
Suppose 0 = 6*j - j - 90. What is the remainder when -4 + j + 9/3 is divided by 5?
2
Let q(b) = 17*b**2 + 179*b - 45. Suppose 2*s - s = 3*w - 31, s = 5. Calculate the remainder when q(-11) is divided by w.
7
Let z be (-54)/6*4/3. Let d = 12 + z. Suppose 0 = x + 2*c - c - 13, d = 2*x - 5*c - 12. What is the remainder when x is divided by 7?
4
Suppose -4*l - 6 = 2*m, l + 2 = -4*m - 10. Suppose l = o - 3*g, 2*o + 10 = 4*g - 8*g. Calculate the remainder when ((-111)/6)/(o/6) is divided by 13.
11
Suppose 0 = 47*b - 2021 + 658. Suppose 0 = -7*x + 3*x - 56. Let i = -4 - x. What is the remainder when b is divided by i?
9
Let p be (1 - 39)*(-13)/(-13). Let f = p - -122. What is the remainder when f is divided by 17?
16
Let o(j) = 2*j - 23. Let p be o(7). Let h(u) = -u**3 - 10*u**2 - 14*u - 11. What is the remainder when 168 is divided by h(p)?
32
Suppose 0 = 5*m - 30 + 10. Suppose -l + 688 = 4*t, -445 = -4*t - m*l + 243. Calculate the remainder when t is divided by 25.
22
Suppose -182*h + 201*h = 1178. Calculate the remainder when 431 is divided by h.
59
Let a = -544 - -635. What is the remainder when a is divided by 16?
11
Let j(h) be the second derivative of -8*h**3/3 + 2*h**2 - 8*h. Calculate the remainder when j(-1) is divided by 11.
9
Suppose 2*p - 1548 = 2*z, 6*z - 2*z + 2318 = 3*p. What is the remainder when p is divided by 15?
13
Suppose s - 36 = -3*p, 66 = 3*s - 0*p - 5*p. What is the remainder when 647 is divided by s?
26
Let f be (-1)/(0 + -2) + 91/(-2). Let p = 71 + f. Calculate the remainder when 283 is divided by p.
23
Let a(x) = 89*x**3 + 3*x - 1. Calculate the remainder when a(1) is divided by 42.
7
What is the remainder when 77 + (1 - 5 - 1) is divided by 19?
15
Calculate the remainder when (228/304)/((3/152)/3) is divided by 23.
22
Suppose 4*b + 18 = 6*b. Calculate the remainder when b is divided by 7.
2
Let c(j) = -j**2 - 20*j - 50. What is the remainder when c(-12) is divided by 21?
4
Suppose 144 = 3*u - 3. Let t(i) = i**2 - 46*i + 18. What is the remainder when u is divided by t(46)?
13
Let j(z) = 3*z + 7. Let i be j(-3). Let o(u) = -14*u - 14. Calculate the remainder when 40 is divided by o(i).
12
Let n(r) = -r**3 - 6*r**2 - 9*r - 6. Let t be n(-4). Let b = t - -12. Calculate the remainder when 16 is divided by b.
6
Let r(t) = 4*t**2 - 4. Let d be r(-3). Suppose -3*s + s - d = 0. Calculate the remainder when 42 is divided by 1/(s/(-15) - 1).
12
What is the remainder when 248 is divided by -3*415/(-75) + 4/10?
10
Suppose g - 6 = -5*w, 3*g + 5*w = 39 - 11. Let a(m) = m**3 - 3*m**2 - 8*m + 5. Calculate the remainder when a(5) is divided by g.
4
Let y = 668 - 659. Calculate the remainder when y is divided by (6/(-4))/(1/(-2)).
0
Suppose -3*a = -2*a + 29. Let x = -18 - a. Suppose -3*k = -6*k - 15, 3*g - 2*k = 31. What is the remainder when x is divided by g?
4
What is the remainder when (-9 + 17 + -33)*-10 is divided by 28?
26
Let z(r) = -r**3 - 5*r**2 + 37. What is the remainder when z(-5) is divided by 23?
14
What is the remainder when 4 + (-38)/9 + (-128)/(-9) is divided by 10?
4
Suppose -8*x + 372 - 52 = 0. What is the remainder when 319 is divided by x?
39
Suppose -58 = -d + 5*s, 2*s = 3*d - s - 114. What is the remainder when 110 is divided by d?
11
Let a = -140 + 164. What is the remainder when 10*((-30)/(-4) + 2) is divided by a?
23
Calculate the remainder when 18 is divided by 78*(51/18)/17.
5
Calculate the remainder when 659 is divided by ((-24)/(-2))/((-48)/(-240)).
59
Let d be (-1)/(-2*(-1)/(-4)). Calculate the remainder when -36*3/(-6) - (-2 - -1) is divided by ((-15)/(-6))/(d/4).
4
Let g = 4 - -7. Suppose 13*z - 4*z - 9 = 0. Let u = g - z. What is the remainder when u is divided by 7?
3
Suppose y + 9 - 90 = -5*k, 5*k + 5*y = 65. Calculate the remainder when 181 is divided by k.
11
Let l be (3 + 6/(-3))/1. Calculate the remainder when l/4*(65 - -3) is divided by (-4 + (-40)/(-16))*26/(-3).
4
Let m be (-4 - -1)/(-1) - 2/2. Suppose 2*c + 2*g = 2, -2*g - 13 = m*c - 3*c. What is the remainder when 28 is divided by c?
3
Let m(f) = -3*f - 3*f + 3*f + 4*f - 2. Suppose u = -4 + 7. What is the remainder when m(9) is divided by u?
1
Suppose -4*n + 6*n + 14 = 0. Let f = n - -142. What is the remainder when f is divided by 36?
27
Let f(n) = 2*n**2 - 8*n + 2. Let t(i) = 4*i**2 - 5*i - 4. Let p be t(-1). What is the remainder when f(p) is divided by 3?
0
Calculate the remainder when 458 is divided by ((-51)/(-18))/((-2)/(-12)).
16
Let u(t) = -t**3 + 13*t**2 - 12*t + 7. Let i be u(12). Let y = 21 - i. Calculate the remainder when 27 is divided by y.
13
Let c(d) = -9*d + 31. Let p be c(9). Let x = p - -72. What is the remainder when x is divided by -1*1*12/(-2)?
4
Suppose -5*h = -5*s + 170, -9*h + 13*h = 0. What is the remainder when 373 is divided by s?
33
Let j = -725 - -809. Calculate the remainder when j is divided by 29.
26
Let v = 37 + -35. Suppose 0 = -i - v*i + 354. What is the remainder when i is divided by 30?
28
Suppose 0*u = -i + 5*u + 5, -3*i = -u + 27. Calculate the remainder when (-1 + 11)*(-52)/i is divided by 19.
14
Suppose 4*h - 102 = -5*y, -3*y - 62 + 126 = h. Suppose -4*a - 3*l = -3*a - 25, -2*a + 3*l + 86 = 0. Calculate the remainder when a is divided by y.
15
Let o(c) = -5*c**3 + 6*c**2 - c + 4. Let v(r) = 4*r**3 - 7*r**2 - 3. Let w(k) = -3*o(k) - 4*v(k). What is the remainder when 148 is divided by w(10)?
28
Suppose 4*v - 4 - 4 = 0. Suppose -5*a = 3*l - 12 - 4, -a = -2*l - 11. Suppose -3*y + a*y + v = 0, -3*z + 17 = y. What is the remainder when 10 is divided by z?
4
Suppose -5*o + 10*o - 65 = 0. Let x = -6 - -8. What is the remainder when o is divided by (-3)/6*(x + -16)?
6
Let i = -26 + 28. Suppose i*j - 143 = -15. Calculate the remainder when j is divided by 17.
13
What is the remainder when (-1870)/(-35) - 6*2/28 is divided by 9?
8
Let z be (-10)/(-6*(-1)/39). What is the remainder when 4/26 - 1745/z is divided by 10?
7
Suppose 23*i + 6740 = 33*i. What is the remainder when i is divided by 113?
109
Let n = -89 - -107. Suppose -3*s + 6*s - 2*l - 213 = 0, 0 = -l - 3. What is the remainder when s is divided by n?
15
Let d(f) = f**3 - 7*f**2 + 6*f + 6. What is the remainder when d(6