lculate the remainder when f is divided by i(-49).
20
Suppose 0 = -18*x + 2*x - 144. Let a(f) = -f**2 - 8*f + 32. What is the remainder when a(x) is divided by 17?
6
Suppose 157*m = 121*m + 4968. What is the remainder when m is divided by 47?
44
Suppose 2*m - 4292 = -35*m. What is the remainder when m is divided by 39?
38
Suppose 0 = -3*w + w + 152. Suppose q = -4*n + 106, -3*n - 6*q + 68 = -11*q. What is the remainder when w is divided by n?
24
Suppose 4*f + 89 - 117 = 0. What is the remainder when 20 is divided by f?
6
Let p = -33 - -37. Suppose p*g - 3*g - 56 = 0. Calculate the remainder when g is divided by 20.
16
Suppose -5 = -5*s - 9*r + 4*r, -5*r + 15 = 0. Suppose -2*x - 5*j = -6*x - 29, 3*j = -3*x + 12. Calculate the remainder when (x*118)/s*1 is divided by 15.
14
Suppose -47*t = 101 - 383. Calculate the remainder when 1/(-3)*(-3 - 174) is divided by t.
5
Let y(m) = 4*m**3 - 7*m**2 + 8*m - 1. What is the remainder when y(3) is divided by 7?
5
Suppose -2*d = -2*q + 188, -8*q - 2*d = -12*q + 382. What is the remainder when 215 is divided by q?
21
Suppose 0 = -3*j + 27 - 0. Suppose -30 = 2*h + 4*m - 6*m, -4*m = 4*h + 36. What is the remainder when -39*4/h - -2 is divided by j?
6
Suppose -63 = -w - 13*b + 8*b, -3*w = -5*b - 209. What is the remainder when 263 is divided by w?
59
Let d(i) = -6*i - 108. Calculate the remainder when 125 is divided by d(-21).
17
Let p(f) be the first derivative of -f**3/3 - 5*f**2 - 3*f - 5. Calculate the remainder when p(-7) is divided by 7.
4
Let t = 324 + -204. Suppose 7*r - t = r. What is the remainder when 157 is divided by r?
17
Let b be 26/13 + 27*-1. Let j = -3 + b. Let d = -2 - j. What is the remainder when d is divided by 14?
12
Let v(r) = -r**3 + 3*r**2 + 3*r + 2. Let f = 9 - 1. What is the remainder when v(-3) is divided by f?
7
Let l = -108 - -121. Calculate the remainder when l is divided by 7.
6
Let b(z) = -147*z**3 - 2*z + 2. Let m be b(1). Let w = 90 - m. What is the remainder when w is divided by 48?
45
Calculate the remainder when (2 + -8)*(-9)/(63/238) is divided by 43.
32
Let w = 2 - -31. Suppose -654 = -9*z - w. What is the remainder when z is divided by 35?
34
Suppose 0 = 6*u - 203 + 779. Calculate the remainder when 7*1/2*u/(-56) is divided by 6.
0
Let k be (2/((-2)/(-15)))/((-21)/(-14)). Calculate the remainder when 146 is divided by (k/(-9))/(-5) - 374/(-18).
20
Suppose 2*b + 2 - 6 = 0. Suppose -b*i - 12 = 2*n + 2*i, 18 = -2*n - i. Calculate the remainder when (-68)/n - (-3)/15 is divided by 5.
2
Let r be 1/1 + -2 - -4. Let s be 68*6/96*(-8)/(-2). Suppose -r*n + 59 = s. What is the remainder when n is divided by 5?
4
Let d be 4/(-2) + (2 - 3) - 21. Let m = -21 - d. What is the remainder when 6 is divided by m?
0
What is the remainder when (-159)/265 + 1316/10 is divided by 33?
32
Let x = 164 - 136. What is the remainder when 93 is divided by x?
9
Let s(x) = 3*x**2 - 39*x + 7. What is the remainder when (16*3)/2 + 3 is divided by s(13)?
6
Suppose m - 6*m + 345 = 0. Let x(i) = -16*i - 87. What is the remainder when m is divided by x(-7)?
19
Calculate the remainder when -2*(-2)/38 + (-179361)/(-171) is divided by 75.
74
Suppose 162 = m - 126. Suppose 0*c - 146 = -b + c, -3*c = -2*b + m. What is the remainder when b is divided by 38?
36
What is the remainder when (0 - -2) + 1 - (-2 - 88) is divided by 25?
18
Let g = -252 - -281. Calculate the remainder when 54 is divided by g.
25
Let w(g) = 5*g**2 - 18*g - 10. Calculate the remainder when w(6) is divided by -2 + (5/(-15))/(2/(-96)).
6
Suppose -3*r = 14*r + 2380. Let w = -35 - r. What is the remainder when w is divided by 27?
24
Let d = 2 - -2. Suppose -3*s = d*s - 140. Calculate the remainder when 137 is divided by s.
17
Suppose -14 = 57*v - 59*v. Suppose v*y + 138 = 873. What is the remainder when y is divided by 12?
9
Suppose -77 = 10*p - 637. Suppose -n - 77 = -4*g - 4*n, 0 = 2*g + 4*n - 26. What is the remainder when p is divided by g?
10
Let t = 872 - 572. Calculate the remainder when t is divided by 38.
34
Let h(k) be the second derivative of -3*k**5 + k**4/12 - k**3/3 - k**2/2 + 2*k. Calculate the remainder when h(-1) is divided by 16.
14
Suppose 0 = -8*r + 13*r - 40. Let k = -85 - -124. Calculate the remainder when k is divided by r.
7
Let h(g) = -g**3 - 3*g**2 - g + 7. Let o be h(3). What is the remainder when 6 is divided by (-3)/5 - 330/o?
0
Let z(k) = -3*k**2 + 8*k - 5. Let a be z(3). Suppose 0 = -4*j + u + 116, -5*j = 4*u - 3*u - 145. What is the remainder when j is divided by 10/a*(-17 - -5)?
14
Let d(q) = -4*q + 4. Let c be d(1). Suppose t = c, -4*t = -2*b + 4*b - 20. What is the remainder when 56 is divided by b?
6
Suppose -2*j + 7*j - 65 = 0. Let m(n) = n - 8. Let x be m(j). Suppose -2*h = 3*b - 0*b - 28, -4*h - 32 = -x*b. Calculate the remainder when 38 is divided by b.
6
Suppose 3*b = a - 18 + 19, a = 4*b - 5. What is the remainder when a is divided by 8?
3
Let q = -15 + 34. Calculate the remainder when 73 is divided by q.
16
Suppose -64 = -4*b + 2*x, b + 3*x - 24 = -b. What is the remainder when -52*1/(-2) - -2 is divided by b?
13
Suppose -3*p = 3*l - 9, 0 = -0*l - l - 2*p + 5. Calculate the remainder when 5 is divided by l.
0
Suppose 71 + 73 = 18*y. What is the remainder when 55 is divided by y?
7
Let p = 1 + 0. Suppose 4*r - p - 15 = 0. Calculate the remainder when (-92)/(-6) + 1/(-3) is divided by r.
3
Let y(t) = -41*t - 4. Let s = 40 - 43. What is the remainder when y(s) is divided by 40?
39
Suppose -m - 5 = 1. Let o = m - -8. Calculate the remainder when (20/(-6) - -1)/(1/(-3)) is divided by o.
1
Let z(t) = 27*t + 244. What is the remainder when z(-7) is divided by 21?
13
Suppose -3*m = o + o - 3, -4*m + o = -15. Suppose -m*r = -47 - 40. What is the remainder when r is divided by 8?
5
Suppose 12 = 3*m - 0*m. Suppose m*v = 0, 5*v = g + 3*g - 148. Let x = -112 - -122. What is the remainder when g is divided by x?
7
Let r = 20 + -14. Let f = -104 - -91. Let q = 42 + f. Calculate the remainder when q is divided by r.
5
Let h(l) = -2*l - 4. Let c be h(-3). Suppose -c*i - 3*q + 95 = -0*q, q = -5. What is the remainder when i is divided by 28?
27
Suppose -2*c + 36 + 44 = 0. Suppose 4*b - c + 8 = 0. Let j = 42 - 21. What is the remainder when j is divided by b?
5
Let o = -3 - -2. Calculate the remainder when 129 is divided by 22 + 15/45 + o/3.
19
Suppose -4*k = 3*x - 23, 4*k = 3*k - 4*x + 22. Suppose -k*q - 5*m - 410 = -7*q, 3*q = 4*m + 245. Calculate the remainder when q is divided by 28.
27
Let v be 16/(-40) - (-2)/5. Suppose v*s - 7 = -s - u, -2*u = 10. What is the remainder when 2/(-6) + (-106)/(-3) is divided by s?
11
Suppose 0 = -7*q + 11 + 17. Suppose 5*m = -g + 4*m + 56, -q*g = -4*m - 200. Calculate the remainder when g is divided by 14.
11
Let o = -424 + 466. Calculate the remainder when 105 is divided by o.
21
Calculate the remainder when 62 is divided by (-16)/(-4) + -1 + 22.
12
Suppose -18 = -4*f + 10. Suppose 55 = -f*r + 8*r. Let n(y) = -3*y + 4. What is the remainder when r is divided by n(-5)?
17
Suppose 2*s = 4, -5*w + 7 = -4*s - 0*s. Calculate the remainder when 13 is divided by w.
1
Let n(s) = s**3 - 6*s**2 - 6*s + 4. Let p be n(7). Let y(l) = l**3 - 8 - p*l**2 + l + 5 + 0*l + 0. Calculate the remainder when 29 is divided by y(11).
5
Suppose 5*w - 2*f - 150 - 60 = 0, w - 5*f = 19. Suppose 0 = -5*u + w + 71. Calculate the remainder when 36 is divided by u.
13
Calculate the remainder when 60/(-18)*2160/(-75) is divided by 10.
6
Let r be 6/((-108)/(-30))*(3 - 0). Let a = 96 - 8. Suppose 0 = 5*g - 4*n - 132 - r, 4*g = -4*n + a. Calculate the remainder when 48 is divided by g.
23
Suppose -165783 = -78*z - 6585. What is the remainder when z is divided by 9?
7
Let r = -1032 + 1579. Calculate the remainder when r is divided by 25.
22
Suppose 3 = 4*k - 1. Suppose -o - 3*f + 9 = 0, -23 = -5*o - 2*f - 4. What is the remainder when o is divided by k?
0
Suppose 2*d - 4*q + 8 = 0, -d + 11 = q + 2*q. Suppose w - 9 = -n - 2*n, 0 = d*w + 3*n - 15. Let s = 28 + -18. Calculate the remainder when s is divided by w.
4
Suppose -4*r + 55 = 3*l, -r = -5*l + 9*l - 30. What is the remainder when 19 is divided by r?
9
Let l = -19347 - -19440. Let d(q) = q**2 - q + 27. What is the remainder when l is divided by d(0)?
12
Calcul