55 = u*r + z, 44 = r + z. Calculate the remainder when r is divided by 10.
5
Let h(l) be the second derivative of -l**5/20 + 7*l**4/6 - 4*l**3/3 - 22*l**2 + 3*l + 6. What is the remainder when 355 is divided by h(13)?
19
Suppose -57*w + 91*w - 22548 = 7950. What is the remainder when w is divided by 212?
49
Suppose 5*p + 322 = 12*p. Suppose 3*b + 94 - 271 = 0. Suppose 2*z + 3*z - b = 2*j, -3*z + 33 = -2*j. Calculate the remainder when p is divided by z.
7
Let b(z) = -z**3 + 3*z**2 - 94*z + 2906. What is the remainder when b(0) is divided by 153?
152
Let n = -25 - -61. Suppose -15 = -39*y + n*y. Suppose y*g - 535 = 2*d, -4*g = -5*d - 277 - 134. Calculate the remainder when g is divided by 22.
21
Let m(q) = -16*q**3 - 4*q**2 - 16*q - 10. Calculate the remainder when m(-3) is divided by 148.
138
Let y = 4 - 497. Let g = 549 + y. Suppose -2*j = -j + 2*r - 332, 0 = 2*j + 3*r - 665. What is the remainder when j is divided by g?
54
Let v be 0*(6 + -5)*3/(-9). Suppose v = 27*d - 18*d - 549. Calculate the remainder when d is divided by 17.
10
Let v be 1126/(-6) - 5/15. Calculate the remainder when 2/(-3) + (-1 - v/3) is divided by 64/(-12)*(-5 - -2).
13
Let z = -240 - -358. Let j = 141 + -126. Calculate the remainder when z is divided by 24*j/48*4.
28
Let g(l) be the first derivative of -l**2/2 - 12*l - 68. Calculate the remainder when 33 is divided by g(-17).
3
Let p(q) = 3*q**2 + 37*q - 32. Let n be p(-30). Suppose -n - 986 = -4*o. Calculate the remainder when o is divided by 71.
68
Let k(p) = 7*p**2 - 11*p + 5. Let s be k(6). Suppose 0 = 2*l - 227 + s. Calculate the remainder when 173 is divided by l.
11
Let n(z) = 6*z. Let x be n(-2). Let c be 10/60 + (-2278)/x. Suppose 2*i - 117 = -i + 2*k, -5*k - c = -5*i. What is the remainder when 243 is divided by i?
38
Suppose -2*u - 73 + 63 = 0, -5*i + 4*u + 265 = 0. Calculate the remainder when 7495 is divided by i.
47
Suppose -644 = 38*u - 42*u. Let w = 467 - u. Suppose -7*n + 65 = -w. What is the remainder when n is divided by 27?
26
Let d = -2893 - -3140. What is the remainder when d is divided by 48?
7
Suppose 0 = 30*q + q - 1860. Let i(b) be the first derivative of -b**2 + 5*b + 9. What is the remainder when q is divided by i(-8)?
18
Let k = 7229 + -7082. Calculate the remainder when k is divided by 33.
15
Calculate the remainder when 1275 is divided by (-1520)/2432 + (-3466)/(-16).
195
Let q = 25243 - 25128. Calculate the remainder when q is divided by 62.
53
Suppose 129249 = 77*f - 1872 + 14620. What is the remainder when f is divided by 38?
31
Let n be (-2)/(-7) - 13508/(-154). Suppose 284 = 14*i + n. What is the remainder when i is divided by 4?
2
Let n = 271 + -269. Suppose 2*z - 79 = v, n*z + 0*v - 74 = -4*v. What is the remainder when z is divided by 17?
5
Calculate the remainder when 4962 is divided by -1 - -2 - -5 - (13 + -20).
9
Suppose -2*k + 2212 = -4*w, 7*k - 4*k + 2754 = -5*w. What is the remainder when 126 is divided by (-1)/(((-4)/(-10))/(w/30))?
34
Let j = -156 + 229. Suppose 80*c - 76*c = -y + j, -5*c - 4*y + 94 = 0. What is the remainder when 303 is divided by c?
15
Suppose 2*b + 10 = 0, 199*y + 4*b + 306 = 201*y. What is the remainder when y is divided by 24?
23
Let a(o) = -38*o + 302. Let z be a(30). Let q = -752 - z. Calculate the remainder when q is divided by 39.
8
Suppose -4*h + 14 + 119 = -3*t, -h + 32 = -t. What is the remainder when 169 is divided by h?
21
Suppose x = 4*b - 0*x - 103, 0 = 3*x + 9. Let n = b - 16. Suppose n*i - 3 - 15 = 0. What is the remainder when 13 is divided by i?
1
Suppose -39252 = -38*v + 3460. Calculate the remainder when v is divided by 49.
46
Let j(p) = -p**3 + p**2 + p + 9. Let c be j(0). Let i(x) = 2 - 1 - c*x + x**2 - 4 - 23. What is the remainder when i(12) is divided by 3?
1
Let o = -9 - -15. Let p(d) = 11*d - 6. Suppose 3*x - 3 = 90. Calculate the remainder when p(o) is divided by x.
29
Let i(n) = 2*n**3 - 113*n**2 + 73*n - 368. What is the remainder when i(56) is divided by 4?
0
Let c = -153 + 56. Let j = -20 - c. Calculate the remainder when j is divided by 4.
1
Calculate the remainder when (-24)/80 - 11/(-3 + (-4854)/(-1638)) is divided by 72.
12
Suppose 3*c - 109*o + 105*o - 425 = 0, -5*c + 695 = -5*o. Calculate the remainder when 300 is divided by c.
38
Suppose -524*n = -545*n + 567. What is the remainder when 976 is divided by n?
4
Let h = -110 + 127. Suppose 488 = -h*u + 25*u. Calculate the remainder when u is divided by 24.
13
Let r = -513 - -3527. Calculate the remainder when r is divided by 15.
14
Let c = -3237 - -3255. What is the remainder when 77 is divided by c?
5
Let r = -9331 - -9824. What is the remainder when r is divided by 243?
7
Let w(i) = -141*i**3 + 4*i + 4. Let k be w(-1). Let z = k - 125. What is the remainder when 46 is divided by z?
14
Suppose -5*n + 213 = q, -2*q - 4*n + 570 - 120 = 0. Suppose 0 = -2*o - 0*j - j + 121, 0 = -3*o + 3*j + 168. What is the remainder when q is divided by o?
56
What is the remainder when 2 - ((-35518)/182 - (-8)/52) is divided by 74?
49
Suppose 3*f - d = 111, 2*f = 4*d + 47 + 17. Suppose -f = -3*n + 61. Let c(q) = 19*q - 1242. Calculate the remainder when n is divided by c(66).
9
Suppose -q = 5*h + 5, 4*h + h = 5. Let s be 4/q - (-842)/5. Let y = -86 + s. Calculate the remainder when y is divided by 43.
39
Let b be (-115)/(-46) - 2/4. Suppose -i - 2*q + 677 = 0, b*i - 4*q - 1104 = 218. Calculate the remainder when i is divided by 42.
39
Let r(s) = -21*s - 84. Let l be r(5). Let a = l + 202. Calculate the remainder when 36 is divided by a.
10
Suppose -17 - 3 = -m. Let w(s) = 4*s + 106. Let h be w(-24). Suppose 0 = -h*z + 143 + 187. What is the remainder when z is divided by m?
13
Let k(n) = -n**3 - 6*n**2 - 11*n - 7. Let j be k(-4). Suppose 0 = -j*l + 213 - 113. Suppose 2*y - 80 - 34 = 0. What is the remainder when y is divided by l?
17
Let g = -13 + 24. Suppose 5*t - g = 34. Suppose s - 13 = q, 35*q - 31*q = -5*s + 92. Calculate the remainder when s is divided by t.
7
Let n = -1743 - -1836. Calculate the remainder when 295 is divided by n.
16
Suppose -807 + 135 = -56*s. Calculate the remainder when 538 is divided by s.
10
Let c be (70/4)/(1/6). Suppose 2*g - 2*i + c = 7*g, -5 = -i. Suppose 4*q - 96 - 44 = 0. What is the remainder when q is divided by g?
16
Let g(b) = -18*b + 417. Let u be g(-29). Let l = 974 - u. What is the remainder when 80 is divided by l?
10
Let c = -37306 + 39837. Calculate the remainder when 5062 is divided by c.
0
Let n(f) = f**3 - 38*f**2 - 33*f - 223. What is the remainder when 699 is divided by n(39)?
6
Let d(f) = 984*f**2 + 38*f - 9. Calculate the remainder when d(3) is divided by 12.
9
Suppose z - 23 = -2*f, 41 = 3*z - 5*f + 5. Calculate the remainder when 1187 is divided by z.
14
Let l = -490 - -705. Let f = l - 184. What is the remainder when (-2)/4*-2 - -88 is divided by f?
27
Suppose 31*w - 33*w = 10. Calculate the remainder when 59 is divided by 3*((-64)/(-12) - w).
28
Let q(t) = -26*t + 3. Suppose 0 = 5*x - u + 108, 4*x + 100 = -x + 5*u. Let k = x - -21. What is the remainder when q(k) is divided by 16?
13
Let w(y) = y**2 + 49*y - 323. Calculate the remainder when 503 is divided by w(6).
6
Suppose m = r, 2 = -3*m + 3*r + r. Suppose m*k = -z + 8, -36 - 34 = -5*z + 5*k. What is the remainder when 78 is divided by z/(-30) + (-164)/(-10)?
14
Calculate the remainder when 8079 is divided by (-24*15/(-280))/(3/21).
6
Suppose 3*x + 88 = 11*x. Let b(p) = -p**3 + 15*p**2 - 24*p - 12. Let v be b(13). Let z = -8 + v. Calculate the remainder when x is divided by z.
5
Let i(z) = -5*z**3 - 311*z**2 - 69*z - 415. Let v = 65 + 21. Calculate the remainder when v is divided by i(-62).
10
Calculate the remainder when 21249 is divided by (-36)/210*5 + 220/28 - -7.
11
Suppose -2*p + 14 = -5*l, -p + 2*l + 59 = 52. What is the remainder when 2539 is divided by p?
5
Suppose -4*s + 313 - 57 = 0. Let z = 84 - s. Suppose -316 = -7*t + 3*t. Calculate the remainder when t is divided by z.
19
Let j = 53 + -38. Let a = 26 + -22. Suppose 4*l + 4*n = 132, -12 - a = -4*n. What is the remainder when l is divided by j?
14
Let i(k) = -k**2 - 68*k + 961. What is the remainder when i(-69) is divided by 19?
18
Let t(x) = -x**3 - 8*x**2 - 8*x + 816. What is the remainder when t(0) is divide