et f = z - 108. Calculate the remainder when f is divided by h.
1
Let m = 39 - -21. Suppose 0 = 5*z + 11 - 56. Let j = z - -12. Calculate the remainder when m is divided by j.
18
Let q(d) = d**2 + 3*d + 19. Let g(n) = -n + 1. Let x be g(-4). Let w = 5 + x. What is the remainder when q(-5) is divided by w?
9
Let s(j) be the second derivative of j**4/6 - j**2 - 11*j + 1. Suppose -3*x + 4 = -5. Calculate the remainder when 61 is divided by s(x).
13
Let b(g) be the third derivative of -g**6/120 + 2*g**5/15 + 5*g**4/12 - 5*g**3/6 - 18*g**2. What is the remainder when b(7) is divided by 29?
27
Let v(t) = 2*t**2 + 2*t + 1. Let l be v(-2). Suppose -2*i = b - 5*i - 21, -l*b + i = -91. Calculate the remainder when b/12 + 82/4 is divided by 6.
4
Let r(f) = f**2 + 12*f + 8. Let n be 3*-4 + (4 - 4). Calculate the remainder when r(n) is divided by 6.
2
Suppose 58 = -2*u + 224. Calculate the remainder when u is divided by 14.
13
Suppose -b + 27 = -6*n + 4*n, -4*b = -2*n - 84. Let u be (-2)/(-7) + 16/(-7). Calculate the remainder when (-72)/u*(1 + 0) is divided by b.
17
Suppose 33 = 14*y - 23. Suppose -l = -5, -y*s = -0*s - 5*l - 359. Calculate the remainder when s is divided by 17.
11
Let o = 570 - 378. What is the remainder when o is divided by 13?
10
Suppose -5*b + 13 = 2*t, 3*t - 6 - 21 = -5*b. Suppose 4*w - w = -4*u + 248, -w = 4. What is the remainder when u is divided by t?
9
Let j = 5 + 51. Let l = -37 + j. Suppose -5*k - 10 = 2*m - k, -k + 15 = 4*m. Calculate the remainder when l is divided by m.
4
Suppose 18*r - 112 = 4*r. Calculate the remainder when 8 is divided by r.
0
Let q(b) = -24*b + 1. Let p = 59 + -60. What is the remainder when q(p) is divided by 14?
11
Calculate the remainder when 137 is divided by (5/(-10) + 1)*23*4.
45
Let k(g) = -g**3 - 9*g**2 - 6*g + 10. Let z be k(-8). Let q = 239 - 234. Calculate the remainder when q is divided by 3/(z/(-2)) + 3.
1
Suppose 0 = -9*i + 4*i - 2*n - 5, -i = 5*n + 24. Suppose 4*z - i = 7. Calculate the remainder when 2/(-5) + (-88)/(-20) is divided by z.
0
Suppose 0 = 6*a - 52 - 44. Suppose 0 = 3*u - 5*p - 55, 5*p - p = u - a. Calculate the remainder when 79 is divided by u.
19
What is the remainder when 11 is divided by (213/284)/(3/8)?
1
Suppose 0 = -3*o - 4*t + 155, -5 = 2*t + 3. Let h = 64 + -55. What is the remainder when o is divided by 535/45 - (-1)/h?
9
Suppose -3*r + h + 36 = 0, 4*r - 3*r - 5*h = 12. Let i(z) = 2*z**3 + 9*z**2 - 13*z + 6. Calculate the remainder when i(-5) is divided by r.
10
What is the remainder when (-24)/180 + 2164/30 is divided by 26?
20
Let i(w) = -12*w - 28. Calculate the remainder when 171 is divided by i(-6).
39
Suppose -4*c + 122 = 4*v - 30, -4*v = 0. Suppose -2*b + 48 = 5*g + b, -c = -4*g - 2*b. Let f = g + -3. Calculate the remainder when f is divided by 3.
0
Suppose 0 = 2*l + 3*f + 2, -2*f - 2*f = -2*l + 26. Suppose l*v - 48 = v. Calculate the remainder when 35 is divided by v.
11
Suppose 5*k - 34 = -9. Suppose -4*l + 93 - 32 = k*n, 4*l - 4*n - 88 = 0. Suppose -60*s + 280 = -20. Calculate the remainder when l is divided by s.
4
Suppose 10*u + 3*u - 65 = 0. Let t(q) = 8*q**2 - 4*q + 17. What is the remainder when t(u) is divided by 9?
8
Let k(h) = h + 2. Suppose -5*b + 88 = 48. What is the remainder when 28 is divided by k(b)?
8
Let z = -754 - -2653. Calculate the remainder when z is divided by 25.
24
Suppose 0*a = a + 551. Let x = -316 + 332. Calculate the remainder when a/(-7) + 8/28 is divided by x.
15
Let u = -383 + 437. Calculate the remainder when 99 is divided by u.
45
What is the remainder when 124 is divided by 958/18 - 114/513?
18
Let o = 104 + -72. Let u(f) = -31*f + 2. What is the remainder when u(-3) is divided by o?
31
Suppose -2*h = 0, -3*d + 3*h = 2*d - 75. Let f(l) = l**2 - 17*l - 42. Calculate the remainder when f(21) is divided by d.
12
Suppose -60*n + 80 = -44*n. What is the remainder when 522 is divided by n?
2
Let k = 46 + -21. Suppose -q = 2*q - 6, -x = 3*q + 6. Let z = k + x. What is the remainder when z is divided by 4?
1
Suppose 6 = 2*p - 8. Suppose -4*s - 237 = -p*s. What is the remainder when s is divided by 16?
15
Suppose 298 + 2722 = 20*p. What is the remainder when 614 is divided by p?
10
Let h(o) = -7*o - 39. What is the remainder when 172 is divided by h(-12)?
37
Let v(c) = 2*c**2 + 4. Suppose 4*z = -22 + 2. Suppose -22*r + 26*r - 51 = -5*u, 3*u + 45 = 3*r. Calculate the remainder when v(z) is divided by r.
12
Let l = -6002 - -6012. Calculate the remainder when (29/3)/((-1)/(-3)) is divided by l.
9
Let h(t) = 10*t**2 + 39*t - 124. Calculate the remainder when 246 is divided by h(3).
80
Let k = 609 - 585. What is the remainder when 60 is divided by k?
12
Let n = -577 + 627. Calculate the remainder when 67 is divided by n.
17
What is the remainder when 141 is divided by 0/(3*6/9) + 30?
21
Calculate the remainder when 2135/10 - 2/(-4) is divided by 31.
28
Let w(q) = q**2 + 5*q + 1. Let c = -49 + 42. Calculate the remainder when 74 is divided by w(c).
14
Let a = 308 - -353. Calculate the remainder when a is divided by 51.
49
Let z = 223 - 184. Calculate the remainder when 137 is divided by z.
20
Let z(c) = -3*c**3 + 34*c**2 + 25*c - 3. Calculate the remainder when 88 is divided by z(12).
7
Suppose 2*r + 8 = 2*k, -4*r + 22 - 2 = 5*k. Let p(t) = -t**3 + 6*t**2 - 8*t - 1. Let a be p(k). What is the remainder when 440/15 + a/3 is divided by 8?
5
Let j = 673 + -617. Let v = 2 - -13. What is the remainder when j is divided by v?
11
Suppose -f - 175 = -9*u + 5*u, 0 = 5*f + 15. Let p(w) = -w**2 - 13*w - 12. Calculate the remainder when u is divided by p(-11).
3
Suppose -4*p = 3*s - 72, 5*p + s - 80 + 1 = 0. What is the remainder when 192 is divided by p?
12
Suppose -c - j = 4*c + 63, 0 = j + 3. Let v = -4 - c. Suppose 9 = 4*p + o - 3, p = 4*o + 3. What is the remainder when v is divided by p?
2
What is the remainder when (256/(-3) - 2)*24/(-16) is divided by 33?
32
Suppose 2*p + 5*x = 87, p - 58 = -5*x - 12. Suppose 0*m + 3*m = o - 11, -6 = -2*m - 2*o. Let w = m + 13. What is the remainder when p is divided by w?
8
Let v = -11 - -9. Calculate the remainder when (-13)/(v + 5 - 4) is divided by 4.
1
Suppose 2*k - 42 = -w, 4 = 2*w - w. Calculate the remainder when 19/(114/420) - 0 is divided by k.
13
Suppose -25 = -2*a + t, 4*a - 5 - 20 = -3*t. Suppose 21 - 6 = -3*j - f, 5*j + 3*f + 25 = 0. Let h = j + a. Calculate the remainder when 8 is divided by h.
3
Let c be 1*9*((-64)/(-12) + -4). Suppose 455 = -7*j + c*j. Calculate the remainder when j is divided by 47.
44
Suppose 2*g + 428 = 39*p - 36*p, 283 = 2*p + g. Calculate the remainder when p is divided by 18.
16
Suppose -24*m + 21*m + 3*y + 264 = 0, 2*m = 4*y + 176. Calculate the remainder when 879 is divided by m.
87
Suppose 3*m - 57 = 3*r, -5*m + 2*r = -17 - 66. Let t(o) = 2*o**3 - 5*o + 4. What is the remainder when t(3) is divided by (m/(-9))/(7/(-63))?
13
Let a(h) = 4*h - 64. Let j be a(16). Suppose j = -0*d + 14*d - 84. Calculate the remainder when 53 is divided by d.
5
Let u = -31 + 35. Suppose -3*s - 498 = -3*h - 96, 5*s = -u*h + 563. What is the remainder when h is divided by 35?
32
Let o = -26 + 22. What is the remainder when (-2)/(-8) - o/((-16)/(-27)) is divided by 4?
3
Let p(o) = -o**3 - 5*o**2 + 5. Let b be (30/(-20))/((-1)/(-2)). Let q be -1*(b - -2)*-6. Calculate the remainder when p(q) is divided by 21.
20
Suppose 2961 = 8*h - 583. Calculate the remainder when h is divided by 74.
73
What is the remainder when ((0 - 0) + 2821/14)*2 is divided by 45?
43
Let d = -499 + 511. Calculate the remainder when 514 is divided by d.
10
Suppose 8*w = -5*w + 52. Calculate the remainder when 2 - -9 - (w - 2)*1 is divided by 5.
4
Let p be -43 - 4 - (0 + 2). Let d = 62 + p. What is the remainder when 46 is divided by d?
7
Suppose 4*z - 5*y - 4237 - 3339 = 0, 3*y - 7544 = -4*z. Calculate the remainder when z is divided by 15.
14
Let x = -161 - -164. Let v be (4/(-3))/((-2)/3). Suppose v*y = -2*f - 3*y + 31, -1 = 3*f - 2*y. Calculate the remainder when f is divided by x.
0
Let k be (-2)/(3 + 411/(-138)). Calculate the remainder when 9 is divided by (-87)/(-18) - (-4 - k/24).
4
Let c(u) = 3*u**3 - 4*u**2 - 4*u + 9. Let j be c(4). Suppose -5*a - j = -f - 349, f = -2*a + 87. Calculate the remainder wh