r**2 - 2*r - 7. Let m(n) = 3*i(n) - 2*w(n). Calculate the remainder when m(u) is divided by 36.
34
Suppose 3*n = 5*d - 152, 129 = 7*d - 3*d + 5*n. Let o(u) = -u + 6. Suppose 3*a = -12 - 9. Calculate the remainder when d is divided by o(a).
5
Let j = 7 + 143. What is the remainder when j is divided by 49/(-42)*(-29 - -17)?
10
Suppose 53*y = -54*y + 122*y - 12435. Calculate the remainder when y is divided by 22.
15
Suppose 4*o = 5*u + 503 - 2050, 0 = 2*u - 2*o - 618. Let l = u - 306. What is the remainder when 98 is divided by l?
3
Let s = 57 - -36. Suppose 2*c - 144 = 5*v + s, 567 = 5*c - 4*v. Let h = -41 - -69. What is the remainder when c is divided by h?
27
Suppose 239*q - 246 = -m + 234*q, 0 = 4*m - 3*q - 984. What is the remainder when m is divided by 114?
18
Suppose 124*o = 127*o - 138. Let j = -65 - 31. Calculate the remainder when o is divided by ((-1)/2)/(2/j).
22
Calculate the remainder when 821 is divided by (196/392)/((-1)/(-182)).
2
Let k = 8 + -6. Let c(p) = p**2 - 15. What is the remainder when k/10 - 282/(-15) is divided by c(-5)?
9
Suppose 304 = 5*u - 4*t, -u + 2*t = 4*t - 58. Suppose 2*o + 46 = 2*p + 104, -4*o + 5*p + 112 = 0. Calculate the remainder when u is divided by o.
27
Calculate the remainder when (((-16150)/51)/19)/(((-8)/(-2562))/(-4)) is divided by 68.
66
Let n = -2996 - -3100. Calculate the remainder when n is divided by 31.
11
Let r(g) = -56*g**3 + 2*g + 2. Suppose -2*o - 34 = -24. Let j(b) = b**3 + 7*b**2 + 10*b - 1. Let k be j(o). Calculate the remainder when r(k) is divided by 20.
16
Let d(k) = -3*k**3 + 66*k**2 - 2*k + 56. What is the remainder when (-4)/(-24) + (-275)/(-6) is divided by d(22)?
10
Suppose 90*q - 63945 = -57*q. Calculate the remainder when q is divided by 218.
217
Let p(b) be the second derivative of -b**4/12 - 10*b**3/3 + 91*b**2/2 + 27*b. Calculate the remainder when 233 is divided by p(-22).
45
Suppose -3*w + 20*y + 6579 = 17*y, 2*w + 5*y = 4365. Suppose -76*a = -86*a + w. What is the remainder when a is divided by 44?
43
Suppose 80 = -8*a + 256. Suppose -4*u + 5*p = -a - 25, 3*p = -3*u + 69. Suppose -5*d + u = -92. What is the remainder when d is divided by 5?
2
Let q = 5164 + -5121. Calculate the remainder when q is divided by 7.
1
Suppose -f = -u - 7, 0 = 3*f + 2*u - 6*u - 21. Suppose f*a - 10*a = -450. What is the remainder when a is divided by 44?
18
Suppose 2*v = -5*y + 16, 4*v + 2*y - 26 - 22 = 0. Suppose -u + 35 = -5*x, 4*u = x - v + 58. Calculate the remainder when u is divided by 20/6 - (-1)/(-3).
1
Let z(n) = -18*n - 38. Let g be z(4). Let y = g + 154. Calculate the remainder when y is divided by 12.
8
Let r(s) = 122*s - 591. What is the remainder when (-517)/22*(-2)/1 is divided by r(5)?
9
Let o be -1 + (3 - 2) - 10. Let k be o/40 - 18/(-8). Suppose 0 = 5*j - 0*j - 3*n - 62, 2*j + k*n = 12. Calculate the remainder when 39 is divided by j.
9
Suppose -175 = -5*r - 5*f, -3*r + 2*f - 3*f = -97. Suppose 0 = -2*b + 4*j + 236, 12*b = 15*b + j - 347. What is the remainder when b is divided by r?
23
Suppose 9*k - 10*k - 4 = -z, 0 = -z - k + 2. Suppose -5*m = -q - 1647, q = -0*m - z*m + 985. What is the remainder when m is divided by 55?
54
Let y(q) = -q**2 + 17*q + 42. Let u be (-2 - -134)/6 - 3. Suppose -8*x + 4 = -6*x. Calculate the remainder when y(u) is divided by x.
0
Let i be (-2)/(-24) - (-75618)/(-216). Let k = 371 + i. Calculate the remainder when 134 is divided by k.
8
Suppose 0 = 2*a + j + 1217, 2*j - 3939 + 883 = 5*a. Let i be 4/6 - a/(-6). Let z = i - -109. Calculate the remainder when 13 is divided by z.
5
Let i = -14 - -164. Let c = 7893 + -7841. Calculate the remainder when i is divided by c.
46
Let b = 52 - 85. Let u = -34 - b. Calculate the remainder when 38 is divided by (2 - -9) + 3 + 4/u.
8
Let s(i) = 413*i**2 + 20*i - 1 - 2 - 202*i**2 - 210*i**2. What is the remainder when s(6) is divided by 12?
9
Suppose -r = 10*l - 13*l + 35, -85 = -5*l - 5*r. Suppose 0 = l*i - 98 + 20. Let t(o) = -o**2 - 7*o + 1. Calculate the remainder when t(-5) is divided by i.
5
Let x(q) = q**3 + 35*q**2 - 30*q + 293. What is the remainder when 620 is divided by x(-36)?
4
Suppose 9*k - 779 - 715 = 0. Suppose -2*l - 415 = -123. Let r = l + k. Calculate the remainder when 78 is divided by r.
18
Let m be 0/(-2) - 0/(-4). Suppose -t + m*t + 15 = 0. Let w(p) = -p**2 - 273*p + 59. What is the remainder when w(0) is divided by t?
14
Suppose -5*v + 4*p + 216 = 0, 3*v + 49 = -4*p + 153. Suppose 137*h - 7803 = 8363. What is the remainder when h is divided by v?
38
Suppose -4*k - 137 = h + 2*h, -4*h = -5*k + 193. Let l = 50 + h. Suppose -4*s = 16, -8 = -2*z - s - l*s. What is the remainder when 22 is divided by z?
10
Let b = 968 + -914. Calculate the remainder when 848 is divided by b.
38
Let d(t) be the third derivative of t**4/12 + 13*t**3/3 + 16*t**2. Let x be d(7). Suppose x*b = 39*b + 4. Calculate the remainder when b is divided by 1.
0
Let c(j) = -4*j**2 + 23*j + 59. Calculate the remainder when 957 is divided by c(7).
21
Suppose -17*q + 22*q = 11*q - 300. Calculate the remainder when q is divided by 20.
10
Let p(v) = v**2 - 408. What is the remainder when 131 is divided by p(-22)?
55
Let c = -6 + -14. Let n(j) = 5*j**3 + 58*j**2 - 34*j - 111. Calculate the remainder when (-3)/15 - 544/c is divided by n(-12).
0
Suppose 0*r + 2 = -o + r, 0 = 2*r - 10. Suppose 4*q + 126 = 5*q + 4*f, -4*q + o*f + 523 = 0. What is the remainder when q is divided by 44?
42
Suppose -139 - 11 = -5*w. Suppose -5777 + 240 = -58*t - 55*t. What is the remainder when t is divided by w?
19
Suppose -5*l = -3*c - 53 + 29, 0 = 2*c + 2*l - 16. Calculate the remainder when 82 is divided by c.
0
Suppose 0 = -5*o - 5*r, -8 - 4 = 4*r. Suppose -5*k = -o*n - 683, -2*k + 0*k + 4*n + 276 = 0. What is the remainder when k is divided by 71?
65
Suppose -7*q = -45 - 11. Suppose 2*s = -j + 269, -q*s + 4*j = -3*s - 653. What is the remainder when s is divided by 17?
14
Let z = -26 - -41. Let j be (-5)/(-30) + (-298)/(-12). Suppose 115 - j = 18*n. What is the remainder when z is divided by n?
0
Suppose 1351*w + 693 = 1354*w. Suppose -r - r = -26. Suppose 0 = -r*a + 6*a + w. Calculate the remainder when a is divided by 18.
15
Let k(b) = b**2 - 5*b - 8. Let d be 0/(1/7*7). Suppose 5*f - 62 = -2*j - d, 5*f - 3*j = 82. What is the remainder when f is divided by k(7)?
2
Calculate the remainder when (-1286130)/(-1548) - 5/6 is divided by 32.
30
What is the remainder when 12649 is divided by (7/(14/(-2)))/(1/(-11))?
10
Let w be (48/10)/((-30)/(-200)). Suppose -v - 12 = -3*v. Calculate the remainder when -7 + (-8)/(w/(-156)) is divided by v.
2
Let q = -40 - -47. Let d(c) = -15*c - 29. Let t be d(q). Let f = t - -198. Calculate the remainder when f is divided by 22.
20
Let g(x) = 2*x**2 + 2*x + 1555. Calculate the remainder when g(-57) is divided by 11.
8
Suppose 14*z + 494 = -1368. Let b = z + 128. What is the remainder when 33 is divided by 12/3 + 14 + b?
7
Suppose -216*l + 4120 = -1496. Calculate the remainder when 499 is divided by l.
5
Let a(b) = 23*b - 4. Suppose -5*x + 7 - 2 = 0. Let q be x + (20/(-5) - -4). What is the remainder when a(q) is divided by 11?
8
Let t be -2*5/((-40)/176). What is the remainder when (-1415)/(-4) - 33/t is divided by 51?
47
Suppose -5*t + 2*z = -181, 20 = -2*t - 2*z + 98. Suppose c = a + 6 + 26, -115 = -5*c - 4*a. Let m = -17 + c. Calculate the remainder when t is divided by m.
7
Let b(x) = -2*x**2 + 208*x + 577. Calculate the remainder when b(96) is divided by 15.
13
Let q(m) = -6*m - 53. Let y = -247 - -229. What is the remainder when 166 is divided by q(y)?
1
Suppose 7*j = 3 + 4. What is the remainder when (18/10)/((-6)/(-20)) is divided by (j + -2)*(-6 + 8) + 7?
1
Let k(w) = w**3 - 17*w**2 + 46*w - 306. Calculate the remainder when k(20) is divided by 267.
212
Let g(v) = -9*v - 1. What is the remainder when 405 is divided by g(-2)?
14
Let o(h) = 9*h**3 - 4*h**2 + 9*h - 5. Let r be o(2). What is the remainder when (r/(-15))/((-7)/35) is divided by 13*(-1 + 0 + 2)?
10
Let u = 4836 + -4250. What is the remainder when 628 is divided by u?
42
Let n(v) = -v**3 + 44*v**2 - 44*v + 79. Let d = -384 + 427. Calculate the remainder when 100 is divided by n(d).
28
Let d = 1024 - 1023. Let t(a) be the first derivative of 24*