e the remainder when 54 is divided by t.
14
Suppose -17*z + 18*z = 14. Let w = -59 - -98. Calculate the remainder when w is divided by z.
11
Suppose -5*r + 34 = 9. Suppose 5*q + f - 3*f = 40, 0 = r*q + 2*f - 40. Calculate the remainder when 29 is divided by q.
5
Suppose -2442*l = -2433*l - 5499. What is the remainder when l is divided by 23?
13
Let z be (340/4)/(-5) + (-12)/4. Let u = z + 56. Suppose 0*y - 70 = -y. Calculate the remainder when y is divided by u.
34
Let a = 36 + -11. What is the remainder when 75 is divided by a?
0
Let t be (-272)/72 - -7 - (-2)/(-9). Suppose -q + 4*y + 41 = 0, -t*q = 4*y + 4 - 95. Let x = 35 + -18. What is the remainder when q is divided by x?
16
Suppose -2*f = -2*p + 10 + 6, -2*p + 22 = -5*f. Suppose -2*t = p*t - 80. Calculate the remainder when ((-114)/10)/(1/(-5)) is divided by t.
7
Let p = -107 + 173. Calculate the remainder when 196 is divided by p.
64
Suppose 2*t + t = -6, -2*o - t + 32 = 0. Calculate the remainder when 440 is divided by o.
15
Let d(g) be the second derivative of 5*g**4/3 - g**3/6 - 11*g. Calculate the remainder when d(1) is divided by 5.
4
Let g be (0 + 12/16)*120. Suppose -2*b = b - g. Let m = b + -15. Calculate the remainder when 43 is divided by m.
13
Suppose p - 864 = 5*p. Let j = p - -309. What is the remainder when j is divided by 33?
27
Suppose -5*z = -3*h - 12 + 4, -3*z + 20 = 2*h. Suppose -z*n + 4*o + 39 = -o, -3*n + 35 = 2*o. What is the remainder when 12*16/18*3 is divided by n?
10
What is the remainder when 112/24*1629/6 is divided by 27?
25
Let n(t) = -t**3 + 14*t**2 + 34*t + 46. Calculate the remainder when n(16) is divided by 23.
9
Suppose 13*h = -35*h + 2064. What is the remainder when 50 is divided by h?
7
Let x = 1410 - 649. Calculate the remainder when x is divided by 6.
5
Let x be 8/(-20) + (-27)/(-5). Suppose -34 = -q - h + 7, -x*h + 167 = 4*q. What is the remainder when q is divided by (-119)/(-6) + 3/18?
18
Let s = -4 - -4. Suppose -2*t - t - 24 = -5*v, 5*t + v + 12 = s. What is the remainder when 59 is divided by (-3 - 8/t)*-45?
14
Suppose 2*f - 24 = -18. What is the remainder when (11/5 - f)/(4/(-710)) is divided by 24?
22
Let f(h) = h**3 + 8*h**2 + 10*h. Let y be f(-7). Let q = y + 28. Let w(b) = b**2 - 5*b + 10. What is the remainder when w(q) is divided by 13?
11
Let i(p) = -40*p - 31. What is the remainder when i(-2) is divided by 4?
1
Let u(w) = -w**3 - 6*w**2 - 3*w - 1. What is the remainder when 32 is divided by u(-6)?
15
Suppose 0 = 4*p + 3*f - 652, 5*p = 2*p + f + 502. Let q = p - 81. Calculate the remainder when q is divided by 22.
19
Let w(f) = f**3 - 9*f**2 - 7*f - 13. What is the remainder when (3 - 1) + (-15)/3 - -34 is divided by w(10)?
14
Let o(t) = -t**2 + 9*t - 2. Let h be o(8). Suppose h*d - d - 2*q - 27 = 0, -4*d = 3*q - 17. What is the remainder when (57/6)/(69/138) is divided by d?
4
Let w = 5455 + -5429. Let v(f) = 2*f + 4. Calculate the remainder when w is divided by v(6).
10
Let n(x) = 10*x**2 + 3*x - 13. Let u(w) = -39*w**2 - 12*w + 51. Let c(v) = -15*n(v) - 4*u(v). What is the remainder when ((-164)/8)/((-2)/4) is divided by c(2)?
20
Calculate the remainder when 727 is divided by (-20)/(9 + -5) - -32.
25
Let h(u) = -2*u + u**3 + 5*u**2 - 4 + 7 + 1. Let w be h(-5). Suppose -4*y + 5*l - 21 = 0, -w = y - l - 2*l. Calculate the remainder when y is divided by 1.
0
Suppose -2*o + 24 = -10. Let c(q) = -8*q - 32. Calculate the remainder when c(-12) is divided by o.
13
Let c(z) = z + 81. Let l = 6586 + -6564. Calculate the remainder when c(0) is divided by l.
15
Let w be (-2)/3*(-90)/(-6). Let m = w + 26. Calculate the remainder when m is divided by 10.
6
Let k be (-44)/6*(-3)/(-6)*3. Let j(f) be the third derivative of -f**5/60 - 11*f**4/24 + 4*f**3/3 - f**2. What is the remainder when 15 is divided by j(k)?
7
Calculate the remainder when 30 is divided by (-1140)/(-96) + (-1)/(-8).
6
Suppose -7 = 2*c - 3*c + q, 0 = 2*c + 2*q + 2. Suppose -w = c*w + 64. Let s = w - -30. What is the remainder when 41 is divided by s?
13
Suppose 1250 = d + 4*d. Let s(h) = 46*h - 446. What is the remainder when d is divided by s(10)?
12
Suppose 0 = -0*o + 2*o - 4. Let s(b) = -6 + b - 4*b + 12*b + b**o. Calculate the remainder when 9 is divided by s(-10).
1
Let h(i) = -2*i - 4*i + 4*i - 242 + 255. Calculate the remainder when 26 is divided by h(3).
5
Suppose -7*p = -5*z - 3*p + 385, 8*z - 609 = 5*p. Calculate the remainder when z is divided by (38*1)/(4 + -2).
16
Let k = -12 + 23. Let p = 24 - 17. Suppose 3*w + p = 25. Calculate the remainder when k is divided by w.
5
Suppose -14*n + 11*n + 357 = 0. Let w = -72 + n. Calculate the remainder when w is divided by 12.
11
Let l = 21 - 15. Let r(b) = 13*b - 9. Let i = -84 + 86. What is the remainder when r(i) is divided by l?
5
Let b be (-28)/(-2) - (1 - -3). Let n = b + 31. What is the remainder when n is divided by 14?
13
Let w(j) be the third derivative of -j**5/60 + j**4/12 + j**3 + 3*j**2. Let d be w(5). What is the remainder when 374/4 - d/(-18) is divided by 24?
21
Let a(t) = 0*t**2 - 16 + 28*t + 2*t**2 - 18*t. What is the remainder when a(-9) is divided by 20?
16
Suppose 0 = -2*i + 4*k + 20, -8*i - 13 = -9*i - k. What is the remainder when 70 is divided by i?
10
Suppose 591*c = 586*c + 25. Calculate the remainder when c is divided by 4.
1
Let b(d) = d**2 - 3*d + 19. Suppose 2*g + 76 = 5*s, 2*s = -s - 4*g + 56. Calculate the remainder when b(7) is divided by s.
15
Suppose -4*o + 2*j + 24 = 0, -21 + 37 = 4*o + 2*j. Calculate the remainder when 32 is divided by o.
2
Calculate the remainder when 35 is divided by 36/(-12) - 1 - -19.
5
Suppose -4*o + t = -25, 0 = 3*o - 5*t + 10 - 33. Suppose -3*x = -o*x + 138. Let d = 4 - -12. What is the remainder when x is divided by d?
14
Let f(p) = 21*p. Suppose 5 = -s + 8, 0 = 4*i - 4*s - 144. What is the remainder when i is divided by f(1)?
18
Let x(o) = -o**3 - 8*o**2 + 4*o + 5. Let r be x(-8). Let z = -17 - r. Let j(i) = 3*i + 24. What is the remainder when j(5) is divided by z?
9
Let s(x) = 38*x - 11. Calculate the remainder when 184 is divided by s(1).
22
Let p(z) = -11*z + 162. What is the remainder when p(4) is divided by 15?
13
Let q(l) = -3*l**2 - 62*l - 155. Suppose f - 1 = 10. What is the remainder when q(-17) is divided by f?
10
Suppose 2*f - 20 = -2*t, 2*f + t = -f + 34. Let b(q) = q - 1. Let h be b(4). Let n(s) = 11*s + 1. Calculate the remainder when n(h) is divided by f.
10
Suppose 7*x - 1343 = -265. Let c = x + -91. Calculate the remainder when c is divided by 16.
15
Let w be -4*1 - (-9 + -1). Suppose 15*h - w = 12*h. Calculate the remainder when 6 is divided by h.
0
Let z(v) = -v**3 - 11*v**2 + 12*v + 12. Calculate the remainder when 18 is divided by z(-12).
6
Let q = 967 + -923. What is the remainder when 526 is divided by q?
42
Let o = -151 + 254. What is the remainder when o is divided by 32?
7
Suppose -4*m + 18 = -2. Suppose m*b + 0*b = 2*o + 47, 3*o + 48 = 5*b. Let g = 15 - b. Calculate the remainder when 15 is divided by g.
3
Suppose -16 + 10 = 2*q. Let m(n) = -15*n - 40. Calculate the remainder when 6 is divided by m(q).
1
Let k = 26 - 40. Let g = k + 24. Calculate the remainder when 19 is divided by g.
9
Let l(s) = 2*s - 25. Let w be l(10). Let c = w + 34. Calculate the remainder when c is divided by 8.
5
Let j(c) = 11*c**2 + 13*c - 22. What is the remainder when j(-6) is divided by 77?
65
Let v(n) = n**3 + 7*n**2. Let r be v(-7). Let i = 30 + r. Let d(t) = -t**3 + 7*t**2 - 11*t + 8. What is the remainder when i is divided by d(3)?
8
Suppose 109 = o - 4*f, -351 = -4*o + 14*f - 15*f. What is the remainder when o is divided by 16?
9
Let v(g) = g - 2. Let q be v(7). Suppose 66 = 3*z + q*w + 10, -4*z = -w - 67. Calculate the remainder when z is divided by (-6)/((-5)/((-15)/(-2))).
8
Suppose -25*k + 5*k + 600 = 0. What is the remainder when 208 is divided by k?
28
Let g = -865 - -878. Calculate the remainder when 465 is divided by g.
10
Let c(a) = 4*a**2 - 3*a + 8. Calculate the remainder when 83 is divided by c(0).
3
Suppose -3*i + 509 = 29. Let x = i - 90. Calculate the remainder when x is divided by 36.
34
Let p = 352 + -174. Calculate the remainder when p is divided by 91.
87
Let t be (-1)/2 - (-18)/(-4). Let s(m) = -2*m - 6. Let a be s(t). Suppose a*