48. Suppose -2*w - 2*h = -h - 59, -86 = -3*w - 4*h. What is the remainder when s(-20) is divided by w?
28
Let y(f) = -2*f + 86. Let x be 2 + (-2 - -2) + -2. What is the remainder when y(x) is divided by 15?
11
Let q(p) = 3*p**2 + 17*p + 15. Calculate the remainder when q(-8) is divided by 13.
6
Let s(w) = w**2 + w - 2. Let i be (-4)/(-30) - (-224)/120. Suppose 0 = -2*m - 2*o + 76, 3*m + 45 - 155 = -i*o. What is the remainder when m is divided by s(4)?
16
Let m(b) = b - 2. Suppose f - l = 6, 15 = 3*f - 4*l - 4. Let r be m(f). Suppose -r*y = -y - 8. Calculate the remainder when 5 is divided by y.
1
Let s = 60 - 30. Suppose 45*u = 46*u - 8. Calculate the remainder when s is divided by u.
6
Let y be (2*-1)/((-2)/3). Suppose -10 = y*t - 8*t. Suppose 41*p - 102 = 62. Calculate the remainder when p is divided by t.
0
Suppose 0 = -3*c + i + 1798, 5*c - i - 2509 = 485. What is the remainder when c is divided by 43?
39
Let n = -77 - -81. Suppose -2*c + 4*o + 212 = 0, -4*c + n*o - 24 = -432. Calculate the remainder when c is divided by 25.
23
Let y(t) = -7*t + 434. What is the remainder when y(32) is divided by 53?
51
Let i be 3/((-12)/4) + 86. Let q = -62 + i. What is the remainder when 42 is divided by q?
19
Suppose 3*m + 3 = 2*k + 11, 5*k - 25 = 0. Suppose 0 = -4*v + w + 3*w + 40, -2*v + 3*w = -17. What is the remainder when v is divided by 4 - ((-8)/m - (-10)/30)?
3
Suppose -5*u + 118 = 2*m, 2*m - 3*u - 64 - 54 = 0. What is the remainder when 174 is divided by m?
56
Let h be ((-2)/4 + 1)*36. Suppose -2*g = 3*z + z - h, -17 = -3*z + 2*g. Suppose 0 = z*d + 6 - 26. Calculate the remainder when d is divided by 3.
1
Let j = -1021 - -1128. What is the remainder when 203 is divided by j?
96
Let o(t) = 39*t - 8. What is the remainder when o(1) is divided by 11?
9
Let q(g) = -10*g + 124. Suppose 16 = 4*d - 4*a, d - 3*a + 33 = 3*d. What is the remainder when q(11) is divided by d?
5
Let i(z) = -2*z**2 - 84*z + 4. Calculate the remainder when 9 is divided by i(-42).
1
Suppose -4*i + a + 29 = 0, 3*i - i + 2*a - 12 = 0. Suppose i*p = 10*p - 51. Calculate the remainder when p is divided by 10.
7
Suppose -4 = -3*j + 2*j. Suppose -11 = 2*d + 5*n, 4*n - 4 = -16. Let o(b) = 2*b**3 - 5*b + 1. What is the remainder when o(d) is divided by j?
3
Suppose 0 = -15*b + 417 + 108. What is the remainder when 114 is divided by b?
9
Suppose x + b = 3, 0 = 2*b + 3 - 5. Suppose 0*i - 70 = x*i. Calculate the remainder when 40 is divided by (-1)/((-15)/(-6))*i.
12
Let o = -9 + 9. Suppose o = 5*x + 4*z - 2*z - 148, 4*z + 4 = 0. Calculate the remainder when x is divided by 16.
14
Let k(a) = -5*a**3 - 7*a**2 - a - 3. Let c(w) = -w**2 - w. Let f(l) = 5*c(l) - k(l). What is the remainder when f(2) is divided by 22?
21
Suppose -4*v = -183 - 277. Suppose w - v = -4*w. Calculate the remainder when 135 is divided by w.
20
Let u be (-8)/(-6 + 4) + -4. Suppose 0 = 4*j + 2*c - 106, -3*j + 4*c = -u*j - 52. Calculate the remainder when j is divided by 15.
9
Suppose 0 = -3*i + 7*i - 496. Suppose 36 + 7 = g + 5*a, 4*a - i = -4*g. What is the remainder when 109 is divided by g?
25
Let x(g) = 6*g - 242. Calculate the remainder when ((-12)/1)/(-3) - -1 is divided by x(41).
1
Let h = 39 - 20. Suppose 3*l + f - 28 = 0, 0*f = -4*l - f + 39. What is the remainder when h is divided by l?
8
Suppose u - 14 = -2*t, -5*u + t = -3*t - 14. Suppose -13*s + 105 = -u*s. Calculate the remainder when 51 is divided by s.
6
Suppose -3*j - 334 = 17*s - 22*s, 0 = -j - 3. Calculate the remainder when s is divided by 25.
15
Suppose -7*x = -x. Suppose -2*m + m + 2 = x. Suppose -5*n - 3*h + 32 = 0, -m*n - 2*h - 8 = -6*n. What is the remainder when 19 is divided by n?
3
Let v(o) = 10*o - 26. Let i be v(4). Suppose -i*k + 10 = -32. Let t(h) = -3*h - 4. What is the remainder when t(-6) is divided by k?
2
Suppose 4 = 4*j + g, -j - 4*j + 5 = 2*g. Calculate the remainder when 48 is divided by j.
0
Let h(z) = -z**3 - 4*z**2 + 13*z + 19. Calculate the remainder when 34 is divided by h(-6).
8
Let o = 1368 - 1156. What is the remainder when o is divided by 31?
26
Let f(a) = 26*a**2 - a - 1. What is the remainder when f(-1) is divided by (15/20)/((-3)/(-56))?
12
Let l = 165 + -142. Let j(n) = -n**3 - 4*n**2 + 3*n + 4. What is the remainder when l is divided by j(-5)?
9
Suppose o + 11 = -0*o. Let f = o + 26. What is the remainder when f is divided by 297/44 - (-6)/(-8)?
3
Let x(a) = 2*a**3 + 14*a**2 + 10*a - 6. Let p be x(-6). Calculate the remainder when 7/(3/p - 0) is divided by 5.
4
Let g = 239 + -140. What is the remainder when g is divided by 777/39 - 9/(-117)?
19
Suppose -18 = -4*t - 2*b + 66, 0 = 2*t - 4*b - 22. Let l = t - 1. What is the remainder when 30 is divided by l?
12
Let z = -197 + 252. What is the remainder when z is divided by 24?
7
Let w(u) = 8*u**2 + 7*u + 26. Calculate the remainder when w(-4) is divided by 28.
14
Suppose -2*i - 22 = -2*p - i, 4 = 2*i. What is the remainder when 2/2 + p/6 is divided by 3?
0
Let f(y) = y**3 + 8*y**2 + 7*y + 2. Let l be f(-7). Suppose -7*d + l*d = -110. Calculate the remainder when d is divided by 16.
6
Suppose 2*n + 48 = 7*n - x, n - 21 = 4*x. Let y = -16 + 29. Suppose 0 = y*a - 15*a + 8. What is the remainder when n is divided by a?
1
Let t(v) = 4*v**2 - 8*v + 3. Calculate the remainder when 192 is divided by t(3).
12
Suppose 672 = -50*o + 58*o. What is the remainder when o is divided by 17?
16
Suppose 9 = -4*p + 4*c + 45, -3*c + 13 = 5*p. Calculate the remainder when 13 is divided by p.
3
Let k = -887 - -903. What is the remainder when 312 is divided by k?
8
Let q(c) = 3*c**3 + 2*c**3 + c + 0*c**3 + c**3. Let l be q(-1). Let n(w) = -w**2 - 11*w + 9. What is the remainder when n(l) is divided by 10?
7
Suppose 38*z = 57*z - 1083. Calculate the remainder when z is divided by 11.
2
Suppose -4*g = -2*l + 128, 0*l + 158 = 2*l + 2*g. What is the remainder when l is divided by 15?
14
Let n(s) = -12*s - 1. Let j be n(-1). Let l = j - 8. Let w = -1 + 6. What is the remainder when w is divided by l?
2
Suppose 0 = -2*q + 6*q - 576. Suppose 0 = -4*s - 0*s + q. What is the remainder when 107 is divided by s?
35
Let v be (-1)/(-1*(-2)/(-8)). Suppose 1 + 7 = v*w. Let r = 76 + -73. Calculate the remainder when r is divided by w.
1
Let i = -14 + 14. Suppose -2*z = c + 79, i = -4*c - z - 286 - 65. Calculate the remainder when (-14)/(-49) - c/7 is divided by 4.
1
What is the remainder when 1021 is divided by 6/8 + (4015/44 - -1)?
91
Let r = -528 + 532. Calculate the remainder when (-42)/(-8)*(-16)/(-6) is divided by r.
2
Suppose -943 = -10*r - 223. What is the remainder when 1510 is divided by r?
70
Let y(b) = b**2 + 2*b + 2. What is the remainder when y(4) is divided by 7?
5
Suppose -23 = -10*i + 17. Let d = 148 + i. What is the remainder when d is divided by 22?
20
Let s be 5/((-10)/4) - 7. Let t = -3 - s. Calculate the remainder when 25 is divided by (-3)/t*3*-6.
7
Let m = 1253 - 836. Calculate the remainder when m is divided by 70.
67
Let k(v) be the second derivative of -v**5/20 + 3*v**4/2 - v**3/6 + 21*v**2/2 - 21*v. Calculate the remainder when 4 is divided by k(18).
1
Let v = -283 - -299. Calculate the remainder when 30 is divided by v.
14
Let a = 12 - -4. Let g = 25 - a. Let n(u) = -4*u + 1. Calculate the remainder when g is divided by n(-1).
4
Let o = 26 + -23. Suppose 0 = -o*a - r + 11, -5*a + r = -6 + 1. Suppose 2*w + a*j + 35 = 3*w, 0 = 4*w + 4*j - 104. What is the remainder when w is divided by 8?
5
Let n be ((-455)/10)/(1/(-2)). Suppose r + r - 98 = 4*k, 2*r + 3*k - n = 0. Calculate the remainder when r is divided by 7.
5
Suppose -s = 4 - 2. Calculate the remainder when (-140)/(-4) - (-2)/s is divided by 21.
13
Suppose -30 = -7*n + 96. Calculate the remainder when 176 is divided by n.
14
Suppose -2*r + r = -2. Let m = 14 + r. What is the remainder when 26 is divided by m?
10
Suppose 29*o - 3916 = 18*o. What is the remainder when o is divided by 51?
50
Let a = -24 - -28. Suppose 0*h + 4*h - 3*t = 33, a*h - 23 = 5*t. Let n = -53 + 75. Calculate the remainder when n is divided by h.
10
Let l = 158 - 29. Calculate the remainder when l is divided by 66.
63
Let s = -1374 + 1420. What is the remainder when s is divided by 4?
2
Let p(m) = m. Let a be p(-4). Suppose -78 = -4*q + 186. What is