1307 = -32. Let n = -203 + a. What is the remainder when 70 is divided by n?
18
Suppose 0 = -386*b + 14158 + 106508 - 9112. Calculate the remainder when 576 is divided by b.
287
Suppose t + t - 6 = 0. Suppose 2*q - 32 = -2*q - 2*r, 0 = t*q - 2*r - 17. Suppose 72 = -q*p + 10*p. Calculate the remainder when 71 is divided by p.
23
Let a(w) = -w**2 - 6*w + 3. Let k be a(-3). Suppose k*q = 49 - 1. Let d(t) = 4*t**2 + 2*t - 1. What is the remainder when d(1) is divided by q?
1
Let k(z) = 4*z - z**3 + 5070*z**2 - 5063*z**2 + 0 - 3 + 2*z. Calculate the remainder when k(6) is divided by 35.
34
Let z be ((-330)/(-495))/(2/15). Suppose 3 + 6 = 3*i. Suppose 5*c + 2*v = 45, z*v = i*c - 0*c + 4. What is the remainder when c is divided by 6?
1
Let f(s) = -70*s + 383. What is the remainder when 126 is divided by f(5)?
27
Calculate the remainder when 47 is divided by 7 - (1 - (-216)/(-8)) - (1 - -1).
16
Suppose 7*n + 11 = -45. Let d = 124 - n. What is the remainder when d is divided by 35?
27
Let m(u) = u**2 + 3*u - 7. Let n = 519 - 513. Suppose -3*s + 5*y - 34 = -n*s, 62 = 5*s + 3*y. What is the remainder when m(5) is divided by s?
7
Let c = 5200 - 5116. What is the remainder when c is divided by 43?
41
Let n(f) = 32 + 31 + 27*f - 19*f + 3. What is the remainder when 19 is divided by n(-7)?
9
Let l(h) = -4*h**3 - 15*h**2 - 40*h + 15. Calculate the remainder when l(-7) is divided by 228.
20
Let g be (9/(-15))/((-9)/(-7335)). Let s = -285 - g. Calculate the remainder when s is divided by 69.
66
Let h(p) = -4*p**3 - 89*p**2 - 23*p - 18. Let q be h(-22). Suppose -213 = -q*a + 11. Calculate the remainder when 500 is divided by a.
52
Suppose -3 - 70 = q. Let f = q - -77. Suppose 5*h + 3 = f*h, -5*b + 2*h = -81. Calculate the remainder when b is divided by 4.
3
Suppose 0 = 8*d + 305 + 2695. Let k = 423 + d. Calculate the remainder when 91 is divided by k.
43
Suppose 4*s = 5*i + 326, 3*s + 65 + 70 = -2*i. Let v be ((-24)/30)/(3/(690/2)). Let d = i - v. What is the remainder when d is divided by 7?
5
Suppose -4*t + 144 = 2*u, -2*u = -5*t - 111 - 42. Calculate the remainder when 325 is divided by u.
29
Calculate the remainder when 54 is divided by ((-369)/(-30) - -4) + 93/(-310).
6
Suppose 25*g = 16*g - 108. Suppose 595 = 4*h + h + 4*f, 4*h - 476 = 2*f. What is the remainder when h is divided by g*4*25/(-40)?
29
Let g(u) = -69*u - 119. Calculate the remainder when 1834 is divided by g(-7).
14
Let w(n) = n**2 - 23*n - 58. Suppose -s + 9 = 8*i - 13*i, 0 = -5*s + 2*i + 137. What is the remainder when w(s) is divided by 11?
6
Let n = 12070 - 12055. Let s(u) = 10*u + 4. Calculate the remainder when s(4) is divided by n.
14
Let c(i) be the second derivative of -11*i**3/6 - 106*i**2 + 92*i. Calculate the remainder when c(-20) is divided by 3.
2
Suppose 28 = -5*r + 12*r. Suppose 0 = -q, 4*i = -0*i + r*q - 460. Let o = -107 - i. Calculate the remainder when 10 is divided by o.
2
Let c = 336 - 288. What is the remainder when c is divided by 35?
13
What is the remainder when -1 + (109 + 1)/1 is divided by -8 - (24/20)/((-13)/390)?
25
Let l = 638 - 359. Suppose -2*p + 5*p = l. What is the remainder when p is divided by (-3530)/(-353) - (-3)/((-12)/(-152))?
45
Let y(s) = 20*s + 176. Let q(j) = 2*j + 16. Let z(l) = -32*q(l) + 3*y(l). What is the remainder when 199 is divided by z(-1)?
19
Let u(g) = -2*g**3 + g**2 - 21*g - 31. What is the remainder when u(-7) is divided by 123?
113
Suppose 2*j - 2*r - 495 = -3*j, -297 = -3*j - 3*r. Suppose 3*p + 1164 = 9*p. Let k = p - j. Calculate the remainder when k is divided by 48.
47
Let k(j) = -2*j**3 + 14*j + 26. Suppose 0 = -4*h + 9 + 27. Calculate the remainder when k(-5) is divided by h.
8
Let z(q) = 8*q**2 - 31*q + 1. What is the remainder when (-19)/(-2)*3*2 is divided by z(4)?
2
Let l(v) = v**2 - 16*v + 41. Let w be l(13). Suppose -44 + 52 = w*n. What is the remainder when 10 is divided by n?
2
What is the remainder when 14/(-14)*-147 + -16 is divided by 35?
26
Let z(i) = 1022*i + 2924. Calculate the remainder when 1805 is divided by z(-2).
45
Suppose -2*q = -3*q + 16. Let h be 4*1/(q/108). Suppose -s + h = -37. Calculate the remainder when s is divided by 22.
20
Suppose 9*l - 2805 = -2*l. Suppose -8*d + 11*d + 4*p - 96 = 0, 0 = 4*d - 4*p - 128. Calculate the remainder when l is divided by d.
31
Let d = -8 - -14. What is the remainder when 250/75*(0 - (76/(-10) + 1)) is divided by d?
4
Suppose -3*z = -z + 4, -3*z - 63 = -3*a. Suppose 28*i + 88 - 55 = 1041. Calculate the remainder when i is divided by a.
17
Let r(o) = -o**3 - o**2 + 18*o + 16. What is the remainder when 1634 is divided by r(-5)?
22
Let k(d) = -3*d + 13. Let y(v) = v**2 + 5*v + 6. Let w be y(-2). Let b be k(w). Suppose -754 = -b*n - 0*n. Calculate the remainder when n is divided by 22.
14
Let d(w) = -w**3 + 6*w**2 - 6*w + 5. Let b = 6268 - 6128. What is the remainder when b is divided by d(4)?
10
Let d be 1/(1/114) - 2. Suppose 0 = -x - 2*c - 27 - 79, -2*x = 3*c + 213. Let q = d + x. What is the remainder when q is divided by 3?
1
Let q(u) = -u**3 - 10*u**2 + 5*u + 6. Let o be q(-10). What is the remainder when 77 is divided by (-30 - -25)/(10/o)?
11
Suppose -75 = -105*q + 240. Suppose 2*m - 81 = 3*t, -m + 4*m + 5*t = 112. Let f = m - 23. What is the remainder when f is divided by q?
1
Let y be 0/7 - (-1 - 0). Suppose -k - 8*q = -4*q + y, -3*k - 5*q = 38. Calculate the remainder when 1/((2 + k/11)/1) is divided by 9.
2
Suppose -2*d = -3*w + 37093, -5*w + 1090*d - 1093*d + 61809 = 0. Calculate the remainder when w is divided by 22.
21
Suppose -17*x = -3*x - 56. Let u(p) = 2*p**3 - 4*p**2 - 6*p + 1. Calculate the remainder when 126 is divided by u(x).
3
Suppose 0 = h - 14*u + 13*u - 61, 0 = 5*h + 2*u - 326. Suppose 5*m - 3*n - 6 - 18 = 0, m = n + 4. Calculate the remainder when h is divided by m.
4
Let g(s) = -41*s + 200. What is the remainder when 1216 is divided by g(0)?
16
Let k(c) = 2*c**3 - 29*c**2 - 62*c - 36. Suppose 0 = u - 68 + 8. Calculate the remainder when k(17) is divided by u.
55
Let p = -1350 + 2585. Suppose 3*z - 107 = 85. What is the remainder when z is divided by (3*1)/((-19)/(p/(-15)))?
12
Let z = -52 + 84. Let l = z + -29. Suppose 6*b = b + 4*d + 134, 23 = b + l*d. What is the remainder when b is divided by 15?
11
Let j(o) = 7*o + 9. Let f be j(3). Let x = -58 - -52. What is the remainder when 2/x + 1150/f is divided by 13?
12
Suppose r - 7 = 1. Suppose -2*c = 5*j - 20 - 31, 3*c - 2*j - 124 = 0. What is the remainder when c is divided by r?
6
Let h(x) = 44*x - 180. Let k = 86 + -67. What is the remainder when h(k) is divided by 47?
45
Suppose -5*d + 1544 = -3*r, d + r - 5 = 307. What is the remainder when d is divided by 20?
10
Suppose -3*f - 666 = 292*r - 293*r, 5*f = -3*r + 1970. Calculate the remainder when r is divided by 176.
132
Let q = -16 + 53. Let s = 25 - q. What is the remainder when (4 + s)/2 + 44 is divided by 22?
18
Let c = -854 - -859. Suppose 3*f - 8*f + 4*r + 25 = 0, -10 = -2*f - c*r. What is the remainder when 80 is divided by f?
0
Suppose -7 - 38 = -5*a. Suppose -g = -42 - 12. Let m = g - 19. What is the remainder when m is divided by a?
8
Let k(d) be the second derivative of -d**4/6 + 14*d**3/3 + 3*d**2/2 + 2*d - 1. What is the remainder when k(13) is divided by 8?
5
Suppose -4*u + 12 + 4 = o, 0 = -2*o - 4*u + 20. Let p(l) = 89*l**2 - 82*l**2 + l - 4 - o*l + 2*l**3. What is the remainder when p(2) is divided by 14?
6
Let u(n) = -2*n**2 - 30*n + 970. Calculate the remainder when u(-30) is divided by 15.
10
Let h(w) = 5*w - 110. Let u be h(24). Suppose -62 = u*b - 592. What is the remainder when b is divided by 12?
5
Suppose 0 = -55*c + 653 + 832. What is the remainder when 855 is divided by c?
18
Suppose q + 17 = -3*o, o - 12 - 9 = 5*q. Let k be (15 - 13)*110/o. Let p = 101 + k. What is the remainder when p is divided by 6?
4
Suppose 11*b = 22 + 22. Suppose 2*y - 43 - 9 = 4*c, 0 = -b*y - 5*c + 130. Suppose 7*t - 8*t = -y. Calculate the remainder when t is divided by 11.
8
Let c(g) = g + 12. Let f be c(-6). Suppose t - f*t + 300 = 0. Suppose 115*i = 25*i + 1890. Calculate the remainder when t is divided by i.
18
Suppose x - 5 + 1 = 0. Let a be (-14 + 15)/(2/604). Let j = a - 292. Calculate the remainder when j is divided by x.
2
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