at is the remainder when z is divided by a?
4
Suppose 37*u = 777 + 27602. Calculate the remainder when u is divided by 6.
5
Let u(z) = z**2 - z + 43. Let k(l) = -36*l**2 - 18 - 9*l + 35*l**2 + 21*l. What is the remainder when u(0) is divided by k(9)?
7
Suppose 1204 = -4*v + 4*i, -5*v - 2*i + 6*i - 1507 = 0. Let o = v + 330. What is the remainder when 89 is divided by o?
8
Let b = 26 - 43. Let o = b + 19. Let p(u) = 19*u**2 - u - 1. Calculate the remainder when p(o) is divided by 19.
16
Let a(s) = 163*s + 491. What is the remainder when a(0) is divided by 47?
21
Suppose -12*f - 8*f - 120 = 0. Calculate the remainder when 117 is divided by 4 - (f - (20 + -6)).
21
Let s = 40 - 23. Suppose -12 = -0*y + 5*y + 2*d, 4 = 4*y + 5*d. Calculate the remainder when y*6/(-8) - -47 is divided by s.
16
Let a = -7348 - -7383. Calculate the remainder when 765 is divided by a.
30
Let f = 101 - 54. Let x = -150 - -78. What is the remainder when f is divided by 0 - 5 - (1 - x/(-4))?
11
Let f(p) = 3*p**3 + 19*p**2 - 7*p + 36. Let g(d) = 5*d**3 + 39*d**2 - 13*d + 73. Let n(v) = 7*f(v) - 4*g(v). What is the remainder when n(23) is divided by 11?
7
Calculate the remainder when 1126 is divided by 1836/8 + (-18)/36.
210
Suppose -1053 + 261 = -3*w. Suppose -3*q = -3*t + 1056, 2*t + 3*q - w = 430. Suppose 0*c + 5*c = t. What is the remainder when c is divided by 25?
20
Let j = -294 + 295. What is the remainder when 73 is divided by j?
0
Suppose 4*p - 4 = u + 5, 3*p = u + 6. Suppose o = 13*o + u*o. Suppose q - 61 = 5*w, -2*w - 82 = -o*q - 2*q. What is the remainder when 178 is divided by q?
34
Let g(h) = h**2 + 8*h - 17. Let f be g(-9). Let v = f - -20. Suppose 0 = -8*n + 6*n + 92. Calculate the remainder when n is divided by v.
10
Suppose 32*r + 2*r = -25*r + 8909. Calculate the remainder when 1969 is divided by r.
6
Suppose 2*j - 15 = 3*b, 7*j - 6*j + 5 = -b. Suppose 20 = d - 2*g, j*g - g - 25 = -d. Calculate the remainder when 55 is divided by d.
25
Suppose -46*j + 320400 = 132*j. Calculate the remainder when j is divided by 895.
10
Let a be (0 - 41/3)*-3. Suppose -4*x = 4*u - 84, 4*u - x - a = 38. Suppose 0 = -21*y + u*y + 19. What is the remainder when 94 is divided by y?
18
Let y = 971 + -927. What is the remainder when 112 is divided by y?
24
Let j(b) = -4*b + 18. Let l be j(3). What is the remainder when 222 is divided by (-36)/l*1 - -34?
26
Suppose -719 = -112*a + 2417. Suppose 0 = -3*c + c. Let n = c + 7. What is the remainder when a is divided by n?
0
Suppose 3*i = 3*n - 2*n + 13, 3*i = 4*n + 7. Suppose -i*b + 134 = 59. Calculate the remainder when 73 is divided by b.
13
Let t(l) = l**2 - 3*l - 6. Let i be t(5). Let z = -12454 - -12475. Calculate the remainder when 1/((i/(-78))/(-2)) is divided by z.
18
Let j = -9370 + 9547. Calculate the remainder when 182 is divided by j.
5
Suppose -d = 4*d - 165. Suppose j - 4*j = 3*x - d, 10 = 5*x. Calculate the remainder when (-2)/((-18)/16 + 1) is divided by j.
7
Let i = -2 - -12. Suppose -16 = -3*u - 4*d, 2*u - 5*d - 34 = -31. Calculate the remainder when i is divided by u.
2
Let a = 16 + -15. Let k(d) = 62*d**3 + 2*d**2 - 1. Calculate the remainder when k(a) is divided by 22/5*20/8.
8
What is the remainder when 1071 is divided by ((-15)/(-9) - 3)*(-792)/48?
15
Calculate the remainder when 4/(-80) - (-3001467)/940 is divided by 94.
91
Suppose 4*s + 0*s = 2*t - 584, -4*t = 4*s - 1204. Calculate the remainder when t is divided by (-22 + 356/12)/((-1)/(-3)).
22
What is the remainder when 621 is divided by ((584/(-11))/(-4))/(48/528)?
37
Let z = -80 - -83. Suppose 5 = -z*n - 3*b + 47, -b + 44 = 4*n. Let p(m) = m + 10. What is the remainder when 39 is divided by p(n)?
19
Let j = 79 + -23. Let h be j/(1 - (-2 - -1)). Let n = h + -18. What is the remainder when 36 is divided by n?
6
Let c be (-5)/((-15)/12) + -3 + 2. Suppose -2*n - 2*x = -44, -2*n + 0*n = c*x - 49. Suppose 116 = 6*f - 2*f. What is the remainder when f is divided by n?
12
Let l(y) = -41*y + 120. Let p be l(7). Let q = -163 - p. Calculate the remainder when 49 is divided by q.
1
Let b(a) = -a**2 + 4*a + 276. What is the remainder when 4319 is divided by b(-14)?
23
Let l be 212/4 - 54/9. Let r = l - 19. Calculate the remainder when ((-2)/(-4) + -2)*-54 is divided by r.
25
Let t(f) = -f**3 + 5*f**2 + 2*f. Let c be t(4). Let z = -20 + c. Suppose -1 = x - 4*q - 0, -32 = -z*x - 2*q. What is the remainder when 24 is divided by x?
3
Suppose 3*z - 17 = -2*j, z = 3*j - 17 - 3. Let t(u) = -2*u**2 + 14*u + 9. Calculate the remainder when 195 is divided by t(j).
6
Let s(v) = -1078*v - 1024. What is the remainder when 206 is divided by s(-1)?
44
Let q(w) = 80*w - 38*w - 28*w - 13. Let j = -1 + 10. Calculate the remainder when q(4) is divided by j.
7
Let f(z) be the first derivative of -z**4/4 - 16*z**3/3 + 4*z**2 + 159*z + 69. What is the remainder when f(-16) is divided by 8?
7
What is the remainder when 1179 is divided by -7 - ((-39)/78)/((-1)/(-786))?
21
Let j(l) = -25*l + 105. Let s be j(3). Calculate the remainder when (10 + -5)/((s/5)/66) is divided by 35.
20
Suppose 281 + 88 = -13*r + 16*r. What is the remainder when 517 is divided by r?
25
Suppose 64*t = 62*t + 210. Suppose 5*r + 145 = -185. Let v = t + r. Calculate the remainder when v is divided by 11.
6
Suppose -4*w = -10 - 2. Suppose -3*n + w = -l - 0*l, -3*l - 3 = -3*n. Let g(p) = 5*p + 4. What is the remainder when 53 is divided by g(n)?
8
Suppose -5*s + 10*s - 55 = 0. What is the remainder when 26/39 - (4 + 115/(-3)) is divided by s?
2
Suppose -2*i = -0*i + 30. Let b = 49 + i. Let z = 1176 + -1110. What is the remainder when z is divided by b?
32
Suppose 0 = -2*i + 57 - 9. What is the remainder when (-186)/(-10)*260/52 is divided by i?
21
Suppose -3*l = -2*a - a + 1383, -1379 = -3*a + l. What is the remainder when a is divided by 23?
22
Let p be 24/18 - 64/12. What is the remainder when (-1806)/p + 81/54 is divided by 65?
63
Suppose -5*x = -30, -5*b + 8*x + 35 = 3*x. Let z = 304 - 165. What is the remainder when z is divided by b?
9
Let f(s) = s**3 - 8*s**2 + 7*s + 35. Let u = 179 + -173. Calculate the remainder when 17 is divided by f(u).
2
Let t(j) = j**3 - 17*j**2 - 40*j + 51. Let x be t(19). Suppose -13 = -x*q + 195. Calculate the remainder when 201 is divided by q.
9
Calculate the remainder when (14048/96 - 2/1)*27 is divided by 75.
72
Suppose -2*u - 4 = 0, -2*c - 10*u = -5*u - 3232. What is the remainder when c is divided by 540?
1
Let h = -18794 - -19480. Calculate the remainder when 2078 is divided by h.
20
Let b(x) = 2*x**3 - 12*x**2 - 13*x + 38. Let k be (2 - (2 + -3)) + 4. Calculate the remainder when b(k) is divided by 2.
1
Let r = -4452 + 4568. Calculate the remainder when 845 is divided by r.
33
Suppose -4*b + 2 = -2. Suppose -398385 = -110*d - 379465. Calculate the remainder when d is divided by b/(-2) - (-71)/2.
32
Let p = -6039 - -6554. What is the remainder when p is divided by 129?
128
Let a(z) = z - 1. Let i be a(7). Suppose -i*c = -2*c + 64. Calculate the remainder when 8/(-6)*(-26 + c/(-8)) is divided by 18.
14
Let n be (5 + -4)/(2 + (-5)/3). What is the remainder when 1/2*-1*(n - 215) is divided by 36?
34
Let x(a) = 130*a - 17096. What is the remainder when 332 is divided by x(133)?
138
Suppose 4*q + 2*t - 78 = 0, -15 - 27 = -2*q - 2*t. Let h(j) = -5*j + 19. Let i be h(3). Calculate the remainder when 107 + (7 - (4 + i)) is divided by q.
16
Suppose 33497*g - 32724*g - 20871 = 0. Suppose 2*d + 13 + 4 = 3*j, -4*j = d - 8. Suppose 2*s - j*s = -7. What is the remainder when g is divided by s?
6
Let c be (-224)/(-22) - 3*(-8)/(-132). Suppose -c*y = y - 99. Suppose -y*j + 603 = -9. What is the remainder when j is divided by 36?
32
Let g = 5520 + -3903. What is the remainder when g is divided by 134?
9
Let a = 30 - 9. Let u(y) = 2*y**2 - 2*y - 57. Let c be u(-5). Let j = c - -79. Calculate the remainder when j is divided by a.
19
Suppose -4*t = -7*t + 39. Let n be 1/(-2)*(t + -39). Suppose 5*w = -5, -3*g + w + n = -21. What is the remainder when 32 is divided by g?
10
Suppose 0*r = -4*x + 3*r + 19, 0 = -x - 4*r. Suppose -5*a = 5, -7*a - 162 = -x*s - 5*a. What is the remainder when 155 is divided by s?
35
Let q be 22 - 26 - (0 + -1)*-137. Let h = q - -164. What is the remainder when 90 is div