 -3*z + 47. What is the remainder when 107 is divided by z?
9
Let p(g) = 11*g. Suppose -13*n - 16 = -17*n. Let x(j) = 5*j**2 - 11*j + 4. What is the remainder when x(n) is divided by p(1)?
7
Let s(o) = 51*o - 39. Let f(t) = 17*t - 13. Let h = -8 - -5. Let n(m) = h*s(m) + 8*f(m). What is the remainder when n(-5) is divided by 17?
13
Let k = 1321 + -1268. What is the remainder when k is divided by 36?
17
Let y = -4116 - -4219. Calculate the remainder when 116 is divided by y.
13
Let u = 7858 - 6916. What is the remainder when u is divided by 192?
174
Let y(c) = -5*c - 3. Let l be y(-1). What is the remainder when 43 is divided by 190/10*(3 - l)?
5
Suppose -93*g - 26904 = -211*g. What is the remainder when g is divided by 69?
21
What is the remainder when ((-1503 - -1)/(-2))/(10/60) is divided by 74?
66
Suppose -2*w - 12*w - 266 = 0. Let t(m) = -m - 11. Suppose 2*q - 78 - 6 = -2*d, -4*q + 156 = d. What is the remainder when q is divided by t(w)?
6
Let x be (-20)/(-6)*(1 + 6/30). Suppose -o + x*y = -34, o + y = 6*y + 36. What is the remainder when 87 is divided by o?
9
Suppose -411*c + 413*c = 436. Suppose -58*g = -60*g + c. What is the remainder when g is divided by 44?
21
Let n(h) = -58*h + 23*h + 32*h - 34. Calculate the remainder when 73 is divided by n(-19).
4
Let d(w) = -5*w + 41. Let t be d(6). Suppose -t + 31 = -4*l. Calculate the remainder when 7 is divided by 4*l/(-10)*(2 + -1).
1
Suppose 3*v - 3*y = 2*v - 21, 0 = -4*y + 20. Calculate the remainder when -2*(-1)/v - 5588/(-33) is divided by 32.
9
Suppose 9*h - 3*h = 18. Suppose -21 = h*v - 291. What is the remainder when v is divided by 4?
2
Suppose -151051 = -202*q + 932881. Calculate the remainder when q is divided by 168.
158
Let p = -428 - -449. Calculate the remainder when 104 is divided by p.
20
Suppose 73 = 5*y + 3*m - 0*m, 4*m = 3*y - 67. Suppose 13*u = 1024 - 23. Calculate the remainder when u is divided by y.
9
Let c(i) = i**3 + 113*i**2 + 1030*i + 30. Suppose -43 = -m + 13. What is the remainder when m is divided by c(-103)?
26
Suppose 446*h = 24617 - 6367 + 7172. Calculate the remainder when h is divided by 27.
3
Let c = 361 + -288. Suppose 3*s - c = -2*t, 2*t - 17 = -s + 14. Calculate the remainder when s is divided by 14.
7
Let x(l) = 451*l - 2279. Calculate the remainder when x(7) is divided by 19.
4
Let w be 1/(-3)*-8*63/42. Suppose -w*d + 100 = -3*f, 2*d + f - 32 = -2*f. Suppose -3*h - 65 = -8*h. Calculate the remainder when d is divided by h.
9
Let s = -9016 - -10340. What is the remainder when s is divided by 44?
4
Suppose -y + 4*d = 6, 4*y + d - 3*d = -10. Calculate the remainder when (5*-13)/(6/12*y) is divided by 18.
11
Let v(x) = -x**3 + 9*x**2 + 16*x + 1. Suppose 0 = -9*s + 6*s + 27. Let w be v(s). Suppose y + w = 6*y. Calculate the remainder when y is divided by 8.
5
Suppose 217*h = 186*h + 7192. Suppose -4*g + 52 = 2*z - 0*z, -3*g = -5*z - 39. What is the remainder when h is divided by g?
11
Suppose 3*a - l = 63, -a + 17*l - 13*l + 43 = 0. What is the remainder when 656 is divided by a?
10
Suppose -25 + 23 = -2*u. Let w = 114 - 115. What is the remainder when 58 is divided by u*(13 + w - -5)?
7
Suppose -10 = -u + 2*h + 12, 15 = -5*h. Let q = 16 + -19. Let v = q + u. Calculate the remainder when 51 is divided by v.
12
Let k = -2924 - -2938. Calculate the remainder when 255 is divided by k.
3
Let d(i) = i**3 + 8*i**2 + 11*i - 4. Let h be (-118)/(-15) + -8 + (-58)/15. Calculate the remainder when 95 is divided by d(h).
15
Suppose 81*s = -90*s + 1081 + 1484. Let o = 11 - 7. Suppose -o*m - 183 = 2*h - 513, -2*m = -5*h + 813. Calculate the remainder when h is divided by s.
13
Let t(i) = -4*i - 33 - 198*i**2 + i**3 + 198*i**2 + 0*i. Calculate the remainder when 67 is divided by t(4).
7
Suppose 2506 - 8926 = -228*z - 93*z. Calculate the remainder when 14537 is divided by z.
17
Suppose -9*p + 2778 + 462 = 9*p. What is the remainder when p is divided by 15?
0
Suppose -21*v + 8*v = -26. Suppose v*j = -5*o + 29, -2*j + 3*o + 1 = -4. Calculate the remainder when 2/4 + 172/8 is divided by j.
1
Let o be (48 + -30)*(-86)/(-4). Suppose 0 = -46*s + 579 + o. What is the remainder when 251 is divided by s?
20
Let b(j) = 3*j**2 - 18*j - 16. Let l be b(-9). Suppose l = 9*h - 376. What is the remainder when h is divided by 11?
8
Let j(i) = -50*i - 697. What is the remainder when 613 is divided by j(-16)?
98
Suppose -9*c + 112 = -c. Suppose -c*w + 1 = -15*w. Calculate the remainder when (w - -4) + 21 + 1 is divided by 13.
12
Suppose 3*o = -3*d + 21, -o + 3*d + 46 = 31. Let j be (-1)/(-4) + 39/4. What is the remainder when (j/6)/((-1)/(-21)) is divided by o?
8
Suppose 3*b - 464 = x + 59, 0 = b - 4*x - 167. Suppose -3*g = 4*n - 22 + b, -5*n - 5*g = 195. Let d = n + 47. Calculate the remainder when 28 is divided by d.
6
Suppose -8*y = -3*y - 10. What is the remainder when y*3 - (-4 + -4) is divided by 4?
2
Suppose -266 = -5*x + 3*m, 2*x - x + 3*m - 64 = 0. Let i be ((-24)/12)/(2/1). Let u(n) = -28*n. Calculate the remainder when x is divided by u(i).
27
Suppose 10*b + 10 - 30 = 0. Let o(s) = 6*s**3 - s**2 + 4*s - 6. Let h be o(b). Suppose -4*v = -h - 274. Calculate the remainder when v is divided by 27.
26
Let w = -1915 - -1996. Calculate the remainder when w is divided by 27.
0
Let o(g) = -3*g**3 + 2*g + 2. Let h(w) = w**2 - 10*w - 8. Let t be h(11). Calculate the remainder when o(-2) is divided by (-6)/(((-9)/t)/3).
4
Let z(v) be the second derivative of -7*v**3/2 + 41*v**2/2 - 32*v. Calculate the remainder when 146 is divided by z(0).
23
Suppose 2599 = 2*b + u, 88*u = -4*b + 93*u + 5233. What is the remainder when b is divided by 73?
61
Let i = 4416 + -3765. What is the remainder when i is divided by 44?
35
Let o = -22282 - -22358. Calculate the remainder when 6454 is divided by o.
70
Let q = 323 - -100. Suppose 0 = 5*w + 373 - q. What is the remainder when 14 is divided by w?
4
Let d be (-4)/(-12)*-3 - (-4)/4. Suppose -2*s + s + 108 = d. Calculate the remainder when s is divided by 56.
52
Let r = -20814 + 20895. Calculate the remainder when 89 is divided by r.
8
Let h be 70/(-385) + (-1)/(11/(-57)). Suppose -d + 31 = 4*f - 96, 2*f = h*d - 613. Let y(g) = g**2 - 8*g - 12. What is the remainder when d is divided by y(11)?
18
Let o = -17321 + 17327. Calculate the remainder when 556 is divided by o.
4
Let p = 905 - 439. Suppose -5*g = 10, 2*w + p = 7*w + 2*g. What is the remainder when w is divided by 43?
8
Let d(k) be the first derivative of -103*k**2 + 8*k - 12. Let p be d(-7). What is the remainder when 86 is divided by p/130 + (-2)/13 + 0?
9
Let w(c) = -6*c**3 - 19*c**2 - 122*c + 70. Calculate the remainder when w(-8) is divided by 2891.
11
Let l = -16485 - -18071. What is the remainder when l is divided by 14?
4
Suppose 18*w - 5*m = 552, 5*w + 2*m + 99 = 8*w. Let s(g) = 3*g**2 + 4*g - 3. What is the remainder when s(-6) is divided by w?
23
Let r(h) = -h**2 + 8*h + 13. Let o be r(8). Let i = o - -13. Suppose 4*c + 7*c - 1111 = 0. What is the remainder when c is divided by i?
23
Let a(x) = -5*x + 5. Let u be a(0). Suppose -u*s = -p + 12 - 53, 3*p + 28 = -4*s. Let n = 33 - p. Calculate the remainder when 94 is divided by n.
45
Let y(l) = 95*l + 1272. What is the remainder when 1089 is divided by y(-13)?
16
Suppose 5*b + 0*b - 105 = 0. What is the remainder when 20/14 + (-366986)/(-1967) is divided by b?
20
Let z(a) = a**2 + 4*a + 5. Let c be z(-1). Suppose -c*q + 7*q - 440 = 0. Let g = 125 - q. Calculate the remainder when 146 is divided by g.
35
Let b = -10101 + 10437. What is the remainder when 354 is divided by b?
18
Suppose 4238*q - 4234*q = -4*w + 10876, 4*q - 10884 = 4*w. Calculate the remainder when q is divided by 34.
0
Let c be (-958 + 3)/(2*(-1)/(-2)). Suppose 100 = -5*s + 340. Calculate the remainder when c/((-20)/4) + 0 + -2 is divided by s.
45
Let i = 2438 - 2426. Let s be 0 + 2 + (-8)/(-2). What is the remainder when (-382)/(-18) + s/(-27) is divided by i?
9
Let h(r) = -120*r + 5. Let k = 97 + -94. Let w(a) = -a**3 + 4*a**2 - 4*a + 2. Let t be w(k). Calculate the remainder when h(t) is divided by 21.
20
Let z(x) = -3*x**2 + 14*x + 51. Let o be z(7). Suppose -3*j + g + 370 = 0, o*j - 252 = 2*g - 0*g. What is the remainder when j is divided by 63?
59
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