6). Calculate the remainder when 7 is divided by z/(-48) + 4/6.
1
Let h = -61 + 59. What is the remainder when 8 is divided by -1 - ((-1)/h - (-56)/(-16))?
0
Let w be (-378)/34 - 6/(-51). Calculate the remainder when 47 is divided by 4/(-2)*(-16 - w).
7
Suppose -17 = -3*f - k - k, 3*k + 17 = 4*f. Let a(u) = -8*u**2 + 17*u**2 + 8*u**2 - 2 + 3*u. Calculate the remainder when a(1) is divided by f.
3
Let h = -7 + 12. Let s(v) be the third derivative of v**4/24 + 7*v**3/6 + 91*v**2. What is the remainder when 21 is divided by s(h)?
9
Suppose 2*p + 127 = 143. Suppose 0 = -w + 4 + 16. What is the remainder when w is divided by p?
4
Let t = -445 - -466. What is the remainder when 163 is divided by t?
16
Let m(d) = -31*d - 21. Let v(o) = 6*o + 4. Let b(h) = -4*m(h) - 22*v(h). Suppose -4*k + 2*k - 14 = 0. Calculate the remainder when b(k) is divided by 18.
16
Suppose 0 = -f + 4 - 2. Let j(m) = 5*m**f - m + 2*m - 1 + 0. Calculate the remainder when j(2) is divided by 6.
3
Suppose 0 = -0*y - 3*y + 354. Calculate the remainder when y is divided by (37/111)/(1 + (-178)/180).
28
Suppose 4*r + 16 = 2*r. Let s be r + 5 + 21/1. Suppose -s = -5*u + 2*j + 5, -5*j = 5*u + 5. Calculate the remainder when 4 is divided by u.
1
Let y = -10 - -7. Let z be (-2)/2 - y - 0. Suppose 3 = l - z. Calculate the remainder when l is divided by 2.
1
Suppose 3 = -4*l - 9, 66 = 5*y - 2*l. Suppose -64 = q - 3*q. What is the remainder when q is divided by y?
8
Let s(q) = -q**2 - 43*q - 235. Suppose o - 4*o = -129. Calculate the remainder when o is divided by s(-7).
9
Let f be ((-1)/(-3)*-2)/((-6)/27). Suppose -9*v + 132 = -f*v. What is the remainder when 107 is divided by v?
19
What is the remainder when 127 is divided by (17 - 23) + -8*(-4)/1?
23
Let i = 13 + -6. Let b(f) = 2*f**3 + 15*f**2 + 23*f + 56. What is the remainder when b(-6) is divided by i?
5
Suppose -5*f + j = -77, -3*j = -4*f - 4*j + 67. What is the remainder when 39 is divided by f?
7
Let y be (-1)/3 - 20/12. Calculate the remainder when 159/y*(-2)/3 is divided by 28.
25
Calculate the remainder when (-4 - -6) + -4 + 19 is divided by 7.
3
Let y(o) = -11*o - 11. Let a(z) = -z**2 + 17*z - 33. Let v be a(15). Calculate the remainder when y(v) is divided by 7.
1
Let n(o) = -o**3 + 6*o**2. Let f be n(6). Let q = 12 + f. Calculate the remainder when 1 - (-7)/(21/60) is divided by q.
9
Suppose -5*y - 16 + 4 = -j, y - 42 = -j. Calculate the remainder when 72 is divided by j.
35
Let i be 15*(4 + (-3 - -1)). Suppose -5*l + i = -5*n, 0 = 2*n - 4*n. Let t(g) = g**2 - 4*g + 2. What is the remainder when l is divided by t(4)?
0
Suppose 22 = 11*q - 99. Calculate the remainder when 63 is divided by q.
8
Suppose 119*o - 6606 - 1129 = 0. What is the remainder when 254 is divided by o?
59
Let p = -559 + 605. What is the remainder when p is divided by 22?
2
What is the remainder when (-6)/14 - (-7762)/14 is divided by 31?
27
What is the remainder when (-31)/((-1488)/(-2520))*(-12)/10 is divided by 1 + -3 + 17 - -1?
15
Let p(y) = 4*y + 42. Suppose -4*c + 5*k - 190 = 0, -2*c + 4*k + 127 = -5*c. Let u = -23 - c. What is the remainder when p(0) is divided by u?
20
Suppose -5*q - 80 = -5*j, -5*j - 2*q - 94 = -195. What is the remainder when 281 is divided by j?
15
Let n(u) = 109*u - 2992. Calculate the remainder when -1 + 0 + (3 - -115) is divided by n(28).
57
What is the remainder when 176 is divided by ((-8)/12)/(5530/615 - 9)?
12
Let j(d) = -d**3 - 3*d**2 - 2*d. Let y be j(-2). Suppose y = 7*v - 3*v - 84. Calculate the remainder when v is divided by 6.
3
Let n be (-6)/(-9) + (-382)/6. Let x be 102/14 + 18/n. What is the remainder when (-182)/x*(-1)/2 is divided by 6?
1
Let v be 287/(-7) - 8/2. Let l = v - -69. Let r = 6 + 3. What is the remainder when l is divided by r?
6
Let h(b) = 3*b**2 - 22 + 7 - 14*b - 4*b**2. Let t be (-12)/(-5)*(-2 - 3). What is the remainder when 35 is divided by h(t)?
8
Let p = 162 + -86. Calculate the remainder when p is divided by 12.
4
Suppose 1100 = 5*n + 135. Calculate the remainder when n is divided by 15.
13
Suppose 0 = 4*k - 181 + 17. Let p = k + -36. What is the remainder when 19 is divided by p?
4
What is the remainder when 67/(-5)*-17 - (-3)/15 is divided by 58?
54
Suppose 4*p - 606 = -7*h + 2*h, 2*h + p - 243 = 0. Suppose h = -9*k + 11*k. What is the remainder when k is divided by 21?
19
Suppose -362 = 3*g + d - 2*d, 2*g - 5*d + 263 = 0. Suppose -96 + 40 = -4*p. What is the remainder when 3/9 + 2*g/(-6) is divided by p?
12
Let r = 1 + 5. Let c = 7507 - 7478. What is the remainder when c is divided by r?
5
Let d(g) be the first derivative of 8*g**3/3 - g**2 + g + 7. Let o = 3 - -16. What is the remainder when d(-2) is divided by o?
18
Let y = -86 - -97. Let l(k) = -k**3 - 4*k**2 - 4*k. Let n be l(-3). Suppose -3*h + 6 = 2*c, -n*c + 4*h = -23 - 3. What is the remainder when y is divided by c?
5
Let l(y) = -y**3 - 3*y**2 + 3*y - 3. Suppose -44*i - 778 + 4958 = 0. What is the remainder when i is divided by l(-5)?
31
Suppose 3*t - 2*y - 3*y = 79, 4*t = 4*y + 108. What is the remainder when 193 is divided by t?
25
Suppose -2142 = -291*j + 273*j. Calculate the remainder when j is divided by 12.
11
Let u(c) = 9*c + 11. Let q be u(-7). Calculate the remainder when 0 - (-2*(-1)/(-2) + q) is divided by 18.
17
Let z be (4/8)/(2/24). Suppose r + r - 22 = 0. Suppose z*h = r*h - 145. What is the remainder when h is divided by 15?
14
Let k be (-828)/63 + 2/14. Let o = 59 + k. What is the remainder when o is divided by 12?
10
Suppose 0 = 6*v - 1340 + 80. What is the remainder when v is divided by 54?
48
What is the remainder when (-1)/((3/102)/((-55)/10)) is divided by 7?
5
Let r(g) = -g - 9. Let k = 6 - 20. Let l be r(k). Suppose -4*n + 4*j = -76, -n + 0*j = -l*j - 27. Calculate the remainder when n is divided by 9.
8
Let v = 122 - 117. Suppose -4*p = -2*o - o + 91, -v*o = -p - 129. Let l = -41 + 89. Calculate the remainder when l is divided by o.
23
Let w = -37 + 36. What is the remainder when w + (192/3)/2 is divided by 12?
7
Let p = 104 - 176. What is the remainder when 80 is divided by (-175)/(-4) + 54/p?
37
Let x = 116 - 171. Let c = -37 - x. Calculate the remainder when c is divided by 6.
0
Suppose -4*x + 540 = 4*p, 3*x - 4*p = -p + 375. What is the remainder when x is divided by 49?
32
Let a(r) be the first derivative of -r**3/3 + 19*r**2/2 + 44*r - 43. Calculate the remainder when 7 is divided by a(21).
1
What is the remainder when (-21)/(-9)*(-6)/(-21)*174 is divided by 42?
32
Let o(s) = 3*s + s**2 - 2*s**2 - 24 + 13 + 6*s. Let v = -20 - -46. Calculate the remainder when v is divided by o(5).
8
Let a(s) = 7 + 1 + 68*s - 70*s. What is the remainder when 17 is divided by a(2)?
1
Let z(r) = r + 28. Let q be z(-16). Calculate the remainder when 22 is divided by q/15 + 104/20.
4
Let x(h) = -h**2 + 3*h + 10. Let v be x(7). Calculate the remainder when 4818/54 - (-4)/v is divided by 23.
20
Suppose 0 = a - 1, -3*a = -2*t + 2*a + 13. Suppose -t*j = -6*j - 93. Calculate the remainder when 91 is divided by j.
29
Let l be -2 - (-3)/(6/160). Suppose -q = -4*q + l. Calculate the remainder when q is divided by (16/(-12))/((-4)/42).
12
What is the remainder when 373 is divided by (-2)/(-8)*18*14?
58
Suppose 4*b + 5*t = -0*t + 50, -3*t = -b + 21. What is the remainder when 71 is divided by b?
11
Let f(l) = l**2 + 2*l + 2. Let k = 6 - 28. Let j = -27 - k. What is the remainder when f(j) is divided by 5?
2
Let x(b) = 17*b**2 - 15*b - 6. What is the remainder when x(4) is divided by 69?
68
Let g(k) = -k**2 + 12*k + 41. Calculate the remainder when g(0) is divided by 28.
13
Let i(u) = 6*u + 2. Let c be i(1). Let y(j) = -j**3 + 9*j**2 - 3*j - 5. Calculate the remainder when y(c) is divided by 13.
9
Suppose 2 = -4*p + 5*p. Suppose 0 = -5*z + p*q + 2*q + 246, -5*z - 2*q + 252 = 0. Calculate the remainder when z is divided by 13.
11
Let n(l) = 6*l**2 - 5*l + 1. Suppose -103*z - 103*z = -208*z + 40. Calculate the remainder when n(-4) is divided by z.
17
Suppose 5*n - 1327 = -2*b, b = 43*n - 45*n + 663. Calculate the remainder when b is divided by 8.
5
Suppose m = 3 + 2. Suppose 21 = -m*i + 156. Suppose 78 = 3*d + i. What is the remainder when d is divided by 9?
8
Suppose 767 = 2*m - 3*c, -6*c + 9*c + 1931 = 5*m. What is the remain