emainder when 41 is divided by z.
13
Let u(q) be the first derivative of -q**3/3 + 15*q**2/2 - 22*q - 7. Let y be u(15). Calculate the remainder when 33 is divided by -2 - y/(-1 - -3).
6
Let t(o) = o**3 + 12*o**2 + 22*o. Let y be t(-9). Let m be -8 + (10 + 0)*(-18)/y. Calculate the remainder when 29 is divided by -2 - 231/m - 12/(-16).
11
Suppose 27*k = 20*k - 77. Calculate the remainder when (-266)/k + (-10)/55 is divided by 11.
2
Let g = -1757 - -1810. Calculate the remainder when 307 is divided by g.
42
Suppose -5*f - 5 = 0, -5*v + 309 = -3*f - f. Suppose -5*q = 8*q + 10*q - 4140. What is the remainder when q is divided by v?
58
Suppose 4 - 29 = 5*i + 5*j, -2*j - 10 = -4*i. Suppose 0*b + 5*m = -b - 14, -3*b - 3*m - 6 = i. What is the remainder when 109 + (-6 + 4 - b) is divided by 18?
16
Let d = 116 + -104. Suppose d*q = 87 + 177. Calculate the remainder when 64 is divided by q.
20
Let y(x) be the second derivative of x**4/12 - x**3/6 - 13*x**2/2 + 32*x. Let f be y(12). Let p = -106 + f. What is the remainder when 63 is divided by p?
11
Suppose 3*s + 9 = 4*g, -19*g + 24*g = 2*s + 20. What is the remainder when 861 is divided by s?
1
Let d(p) = -3*p - 2*p + 6*p + p**2 - 4*p**2 + 59 + 4*p**2. Calculate the remainder when d(8) is divided by (-10)/(-1 - 2/(-6)).
11
Suppose -4*w - 2*j = -1870, 0 = 2*j - 0*j - 6. Let c = w - 324. Calculate the remainder when c is divided by 74.
68
Let w = 3727 + -2746. What is the remainder when w is divided by 162?
9
Let k = 2830 + -2736. What is the remainder when 463 is divided by k?
87
Let o = 222 - 218. Suppose -3*c = -z + 20, -21 = -2*z - o*c + 9. What is the remainder when 81 is divided by z?
13
Suppose 39*l = 5*c + 44*l - 2580, -2*l = -5*c + 2517. What is the remainder when c is divided by 107?
79
Calculate the remainder when ((-2)/(-2))/(0 - (-15)/45555) is divided by 62.
61
Let n(x) = -4250*x + 167. What is the remainder when n(-1) is divided by 22?
17
Suppose -1279*z + 1260*z = -912. Let p = 23 - 5. What is the remainder when z is divided by p?
12
Suppose 0 = -5*q - 3*q. Suppose -p + 0*p + 33 = q. What is the remainder when p is divided by (-10)/(-40) + 23/4?
3
Let f(n) = -6*n + 66. Let c(m) = m**3 + 7*m**2 + 13*m + 11. Calculate the remainder when f(7) is divided by c(-4).
3
Let i(x) = 98*x**3 - 2*x**2 - 64*x + 65. Calculate the remainder when 391 is divided by i(1).
3
Let z be (-20878)/198 - 12/(-27). Let u = z + 123. What is the remainder when 85 is divided by u?
13
Suppose -3*t + 4*i = t - 4, 5*t - 5 = -i. Let h = 14 + t. Suppose 3*c - 172 = -40. Calculate the remainder when c is divided by h.
14
Let m(x) = 32*x**2 + 24*x + 6. Calculate the remainder when 22257 is divided by m(-1).
11
Suppose -5*g + a + 9 = -49, -3*g + 45 = -4*a. Let m be (1 - 21)/((-3)/6). What is the remainder when g is divided by (m/(-20))/((-2)/7)?
4
Let g(t) be the third derivative of t**5/30 + t**4/2 - 3*t**3/2 - 132*t**2 + t. Calculate the remainder when 152 is divided by g(-7).
2
Suppose 4*m + 3*h - 1306 = 0, 32*h + 1629 = 5*m + 34*h. Calculate the remainder when m is divided by 160.
5
Suppose -212*x - 98*x = -3311706 - 5474004. Calculate the remainder when x is divided by 24.
21
Suppose 10*b = 5*b - 45. Let o(t) = 2*t**2 + 18*t + 14. Calculate the remainder when 179 is divided by o(b).
11
Let g = -49 - -54. Suppose 2*p = p + g, 4*y - 4 = 4*p. Suppose y*q - 18 = -0*q. What is the remainder when 15 is divided by q?
0
Suppose -y - 4*o = -120, 0 = 2*y + 5*o + 138 - 369. What is the remainder when 532 is divided by y?
100
Calculate the remainder when -2*((-3024)/6)/14 is divided by 55.
17
Let t(b) = b**3 + 23*b**2 + 19*b - 63. Let j be t(-22). Suppose j*u - 3*k = 396, 7*k - 2*k + 10 = 0. What is the remainder when u is divided by 25?
5
Suppose 0*c = -c - 4*l + 100, 5*c - 5*l - 375 = 0. Let n be (c/15)/(2/(-6)). Let y(z) = -z**2 - 16*z + 15. What is the remainder when 41 is divided by y(n)?
11
Let l(t) = -109*t**2 + 6*t - 5. Let b be l(2). Let s = -342 - b. Calculate the remainder when s is divided by 16.
7
Let o(p) be the first derivative of p**4/4 - 16*p**3/3 + 2*p**2 - 6*p - 39. Let c(r) = -r + 15. Calculate the remainder when o(16) is divided by c(-15).
28
Suppose 33 = -14*h + 439. Let j = h + -1. Calculate the remainder when 76 is divided by j.
20
Let g(m) = 4*m**2 - 4*m - 7. Let o(w) = 2*w - 12. Let k be o(6). Suppose 4*s + 2*h = -10 - 0, -2*h - 2 = k. Calculate the remainder when 41 is divided by g(s).
7
Let l(f) = -18*f. What is the remainder when l(-3) is divided by ((-5)/(-2)*-1)/((-4)/24)?
9
Let z = 125 + -86. Suppose 3*u - z = 2*j, 0 = -5*u + 2*j - 0*j + 69. Let n = 31 + u. What is the remainder when n is divided by 16?
14
Suppose 4*w = 4*p - 1504, -1681 = -4*p - 4*w - 169. What is the remainder when p is divided by 72?
17
Let c be ((-264)/(-30) - 10)/(3/(-10)). Suppose q - 263 = -c*z, -3*z - 676 = -3*q + 38. What is the remainder when q is divided by 49?
47
Suppose -7*u = -10*u + 96. Suppose -5*s + 38 = -s + 5*a, -4*s - 2*a = -u. Calculate the remainder when -60*s/(70/(-4)) is divided by 9.
6
Let q = 37 - -52. Suppose 0 = -99*a + 3488 - 2102. Calculate the remainder when q is divided by a.
5
Suppose -3*x + 36 = -7*x + 5*k, -3*x = -3*k + 27. Let h(i) = 3*i**2 - 10*i - 3. Calculate the remainder when h(-7) is divided by 8/(-12) - (231/x + -2).
25
Let a(o) = 8*o**2 + 145*o - 597. What is the remainder when 358 is divided by a(4)?
25
Suppose -4341*o = -4343*o + 1160. Calculate the remainder when o is divided by 187.
19
Let j(y) be the first derivative of -y**3/3 + 5*y**2 - y + 220. Calculate the remainder when 141 is divided by j(8).
6
Let d = 358 + -184. Suppose 0 = 2*x + 10, d = 5*s - 4*x - 126. What is the remainder when s is divided by 21?
14
Let q(v) be the third derivative of v**4/24 + 97*v**3/6 - 54*v**2. Calculate the remainder when q(-3) is divided by 38.
18
Let y(q) = -2*q + 15 - 6*q + 14*q - 5*q. Let k be y(-15). Suppose -5*t + 64 + 136 = k. What is the remainder when 78 is divided by t?
38
Let s(l) = -304*l - 1483. What is the remainder when 115 is divided by s(-5)?
4
Suppose -4*q = -2*g - 7*q + 291, 0 = 4*g + 3*q - 591. Calculate the remainder when g is divided by 115.
35
Suppose 14*p + 46 = 15*p. Let t be (24/(-4) - -5)*-19. Let o = p - t. Calculate the remainder when o is divided by 14.
13
Let z(f) = -18*f + 662. What is the remainder when 196 is divided by z(31)?
92
Let h = -73 + 75. Let s be (-6)/(-4)*h/3. What is the remainder when 10 + -10 + s + 132 is divided by 9?
7
Suppose -332 = -4*n - 3*m, 5*n = -4*m + 122 + 292. What is the remainder when n is divided by 23?
17
Let w(h) = 689*h + 8998. Calculate the remainder when 571 is divided by w(-13).
38
Suppose 5*k - 564 + 169 = 0. Let h(g) = -21*g + 4. Let z be h(0). What is the remainder when 53 is divided by k/z + 2/8?
13
Let f(w) = w**3 - 27*w**2 + 131*w + 79. Calculate the remainder when 437 is divided by f(21).
69
Let y(r) = -5*r - 54. Let g be y(0). Let k = 75 + g. Calculate the remainder when k is divided by 11.
10
Let q(x) = -3*x**2 + 15*x + 3. Let i be -2*(3 - (4 + 1)). What is the remainder when 44 is divided by q(i)?
14
Let y = 24724 - 24573. Let m be -143*1 + -1 + 0. Let a = m + y. What is the remainder when 25 is divided by a?
4
Let h(d) = -11*d**2 - 5*d + 4. Let a be h(-3). Let x = a + 220. Suppose 8 = -2*q, 5*s + 0*s = 5*q + x. What is the remainder when 119 is divided by s?
23
Let j = -131 + 65. Let a = j + 39. Let n = 46 + a. Calculate the remainder when 74 is divided by n.
17
Suppose 14*z = -2 - 12. What is the remainder when 117 is divided by (-5)/z - (4 + -4 + -3)?
5
Suppose 2 = -4*b + 14. Calculate the remainder when 220 is divided by 26*b*((-5)/30)/(-1).
12
Let a = -106 + 108. Suppose u = d - 88, -4*u + 284 = 3*d - a*u. Let y = 13 - 1. What is the remainder when d is divided by y?
8
Let n = -37 - -56. Let b be 2/(4/1) + 98500/(-200). Let k = 548 + b. Calculate the remainder when k is divided by n.
18
Suppose -76*i = -5343 - 701 - 15388. What is the remainder when i is divided by 19?
16
Calculate the remainder when (1 - 3812/(-6)) + 114/(-342) is divided by 58.
56
Let z = 14428 - -3059. What is the remainder when z is divided by 106?
103
Suppose i + 38 = j, 42*i - 43*i = 3. Calculate the remainder when 368 is divided by j.
18
Sup