7). Suppose -2*d - f = -6*d. Let r = d - 78. Calculate the remainder when 71 is divided by r.
23
Suppose 0 = -5*u - 2*a + 6804, -2*a + 4084 = 3*u - 0*a. Suppose -28*q = 12*q - u. What is the remainder when q is divided by 28?
6
Let w = -2399 + 2720. What is the remainder when 1934 is divided by w?
8
Let s = 319 - 212. Calculate the remainder when s is divided by 97.
10
Suppose -14 = 10*y - 54. Let n(d) = -1 - y - 15*d**2 + d**3 + 27*d + 4 + 0*d**3. Calculate the remainder when 32 is divided by n(13).
8
Suppose 12*s - 13*s + 15 = -4*j, 0 = -2*s + 5*j + 42. What is the remainder when 2198 is divided by s?
28
What is the remainder when 10435/50 - 51/(-170) is divided by 30?
29
Suppose 2571 = y - 254 + 672. What is the remainder when y is divided by 72?
65
Let c(n) = -n**3 - 6*n**2 - 14*n - 12. Let k be c(-3). Suppose -k*l = -5*l + 3*m + 35, 5*m = 2*l - 41. What is the remainder when 99 is divided by l?
8
Let h(w) = -406*w - 2022. What is the remainder when h(-6) is divided by 23?
0
Let j(i) = -i**3 - 14*i**2 + 11*i - 17. Let k(a) = -4*a**2 + 298*a - 126. Calculate the remainder when j(-15) is divided by k(74).
21
Suppose 5*o = 55*m - 54*m + 2, -3*m + 34 = 5*o. What is the remainder when 322 is divided by m?
2
Suppose 55 = 5*p + 6*p. Suppose -d - 3*w = -p, 4*d - 3*w - 51 = 29. Calculate the remainder when 49 is divided by d.
15
Let h = 49 + -13. Suppose 2*g - 5 = -5*r, -5*g - 4*r + 18 = -2*g. What is the remainder when h is divided by 30/g*20/3?
16
Let i(a) = -45*a + 7. Let b be 507/(-78) + (-2)/4. What is the remainder when i(b) is divided by 12?
10
Let f = 31 - 21. Let t be -18*2/(-108)*-6*6. Let z(o) = -o**3 - 13*o**2 - 16*o - 21. Calculate the remainder when z(t) is divided by f.
7
Suppose 3*n - 2*l + l - 332 = 0, 3 = 3*l. Let f = n + -58. Calculate the remainder when f is divided by 10 - (12/(-4 + 7) + (-9 - -6)).
8
Suppose -7*w - w + 281 = d, 136 = 4*w - 4*d. Let f = -16 + 26. Calculate the remainder when w is divided by f.
5
Suppose 2*o = -3 + 11. Suppose 253 = o*m - 415. Calculate the remainder when m is divided by 12.
11
Let k(u) = -u**2 + 29*u - 100. Calculate the remainder when 2437 is divided by k(24).
17
Suppose 0 = -4*o, o + 116 = 2*i - 4*i + 180. Calculate the remainder when 536 is divided by i.
24
Let h = 9749 + -9021. What is the remainder when h is divided by 34?
14
Suppose -s = -4*v - 5*s + 236, -2*v + 83 = -5*s. Let c(t) = t**2 + t - 27. What is the remainder when v is divided by c(5)?
0
Suppose -4 = r - 38. Let o = 43 - r. What is the remainder when (56/12)/((-1)/(-9)) is divided by o?
6
Suppose -6*h - 788 + 2882 = 0. Suppose h = 3*d - u - 33, -4*u = -4*d + 520. Let m = -15 - -47. What is the remainder when d is divided by m?
30
Let a(k) = 2*k + 19. Let i(x) = 5*x + 57. Let h(n) = 11*a(n) - 4*i(n). Let v(g) = 2*g**2 + 2*g - 18. Calculate the remainder when h(18) is divided by v(3).
5
Let r = 7897 - 4203. Calculate the remainder when r is divided by 168.
166
Suppose -161*f + 166*f - 3620 = -3*n, 0 = 3*f - 5*n - 2138. What is the remainder when f is divided by 27?
19
Let u(o) = -o**2 + 17*o + 49. Suppose 2*j = 5*j - 63. Let k be u(j). Let z = k - -53. What is the remainder when 53 is divided by z?
17
Let q = 19 + -6. Let w(n) = -44 - 2*n - 8*n + n**2 + 41. What is the remainder when w(q) is divided by 13?
10
Suppose 880 - 1202 = -7*f. Suppose -38 - 625 = -3*g. What is the remainder when g is divided by f?
37
Suppose 2*o - 3*c - 273 = 0, -5*o = 2*c - 7*c - 670. Calculate the remainder when 387 is divided by o.
0
Suppose 218*c - 208 - 1073 = 1117. Calculate the remainder when 385 is divided by c.
0
Suppose -12 = 3*f + 5*j, f - 3*j = -42 + 38. What is the remainder when f/(-1) - (-816)/(6 + 10) is divided by (-2)/(-4) + 62/4?
7
Let j = -830 - -835. Suppose 0*i + 3*n + 5 = -2*i, n - 7 = -5*i. What is the remainder when 5/(20/64) - i is divided by j?
4
Let v = 108 - 106. Let q(i) = 13*i + 2 - i**3 + 192*i**2 + 195*i**2 - 393*i**v. Calculate the remainder when q(-8) is divided by 14.
12
Let v(r) = -r**3 - 34*r**2 + 43*r + 812. What is the remainder when v(-35) is divided by 36?
28
Let a be 3 + -6 + 13 + 1. Suppose i - a = -2*n, -n - i + 6*i = 11. Suppose n*b - 8 = 2*b. Calculate the remainder when 9 is divided by b.
1
Let t = 1082 - 434. Calculate the remainder when t is divided by 159.
12
Let j be (7 + 68/(-10))*(544 - -1). Suppose 0 = 3*y - j + 55. What is the remainder when 71 is divided by y?
17
Let l(k) = -k**2 + 2*k + 18. Let o be l(-3). Suppose -3*v + 240 = -o*q, -4*q + 0*v = -3*v + 322. Let d = q + 85. Calculate the remainder when 3 is divided by d.
0
Suppose -b - b - 16 = -4*y, -4*b - 24 = -4*y. Suppose y*k - 55 = 29. What is the remainder when k is divided by 17/((-340)/88)*(-25)/10?
9
Let w = -796 + 996. What is the remainder when w is divided by 95?
10
Let g = -9079 + 9100. Calculate the remainder when 347 is divided by g.
11
Let a = -3679 + 3767. Calculate the remainder when 190 is divided by a.
14
Suppose 4*y = -4*m + 5*m - 80, 2*y = 2*m - 160. Suppose -m*q + 90*q = 830. Suppose -44 = -3*i + 7. Calculate the remainder when q is divided by i.
15
Let w be (-18)/4 + 12/(-24) + -8. Let n(i) = 2*i**2 + 21*i + 36. Let k = -25 - -42. What is the remainder when n(w) is divided by k?
16
Let a = 241 + -229. What is the remainder when (-2*2/a)/(2/(-252)) is divided by 15*(1 - 2 - -2)?
12
Let i = -22961 - -23001. What is the remainder when 210 is divided by i?
10
Suppose -4*t = 2*d - 160, -3*d + 33*t - 35*t + 248 = 0. What is the remainder when 417 is divided by d?
81
Suppose -j = 3*f - 43, 2*f + 32 = 4*f - j. Let r(g) = g + 29. Calculate the remainder when r(f) is divided by 16.
12
Suppose -37 = 2*s + 35*s. What is the remainder when (-5 - (-644)/(-7))/s is divided by 2?
1
Let w = 265 + -221. Calculate the remainder when 83/((-4)/(-5) + 7/35) is divided by w.
39
Suppose 0 = 5*s - 53 - 87. Let c(g) = 30*g - 35 - 61*g + s*g. What is the remainder when 26 is divided by c(-14)?
5
Let f = -70 - -75. Suppose -5*s - 30 = -f*y + 50, -20 = s + y. What is the remainder when 204 is divided by 23/(((-1)/3)/(s/54))?
20
What is the remainder when (511*8/56)/((-4)/(-52)) is divided by 11?
3
Calculate the remainder when (-36)/84 + (-30358)/(-14) + 2 is divided by 53.
50
Calculate the remainder when 1185 is divided by 54/(-72)*(-864)/24.
24
Suppose -92*n - 15*n = -4*n - 3324119. What is the remainder when n is divided by 163?
162
Suppose t = 3*s - 17, -t - 1 = 4*s - 12. Suppose 35 + 45 = s*z. Calculate the remainder when 95 is divided by z.
15
Suppose -250*x - 2778 = -238*x - 475*x. What is the remainder when 584 is divided by x?
2
Let k(u) = -25*u**3 - 3*u**2 - 4*u - 3. Calculate the remainder when k(-2) is divided by (-2 + -1)/51 - 67260/(-1003).
59
Let r be (12/30 - 396/(-10)) + 2. What is the remainder when 579 is divided by r*(-4)/(-24)*3 - 1?
19
Suppose -3*v + 132 = 3*j, 12*v + 4*j = 15*v - 97. Suppose 26*u = 663 - v. Calculate the remainder when 45 is divided by u.
21
Let i(l) = -l + 17. Let p(t) = t**3 + t**2 + t + 4. Let b be p(0). Suppose 0 = -b*h - 39 - 13. What is the remainder when i(h) is divided by 18?
12
Suppose 3*x + 3*i - 12 = 21, 0 = 5*i. Suppose 60*a - 64*a + 12 = 0. What is the remainder when x is divided by a?
2
Let p = -15 + 16. Suppose 3*l = 74 + p. Suppose -4*z + 4*y = -188, -2*z + z + 59 = 5*y. What is the remainder when z is divided by l?
24
Let j be (-4)/(-50)*10 + (-82)/(-10). Let v(p) = -3*p**3 + 29*p**2 - 11*p - 6. Calculate the remainder when 221 is divided by v(j).
50
What is the remainder when 4074 is divided by 8/18 - 1341213/(-999)?
45
Suppose 3*g + 2*j - 1196 = 0, -3*g + 164 = -5*j - 1025. What is the remainder when g is divided by 14?
6
Let i(x) be the first derivative of 20*x**3/3 - 2*x**2 - 2*x + 31. Let t(l) = l**3 + 9*l**2 + 8*l. Calculate the remainder when t(-7) is divided by i(-1).
20
Suppose -15*d + 16*d = -10*t - 11, 66 = 3*d - 3*t. Calculate the remainder when 476 is divided by d.
1
Let y = -6199 - -6330. Let q = 1 - -15. Calculate the remainder when y is divided by q.
3
Suppose 4*k - 18 = 2*k. Suppose 4*m + 1290 = k*m. Let z = m - 174. Calculate the remainder when z is divided by 17.
16
Let v(a) = a**3 + 9*a**2 - 5*a - 9. What is the remainder when v(-9) is divided by (1155/495 + 34/(-12))*-38?
