 20 = h, -h + 24 = k. Let q = 41 - k. Suppose 50 = -11*a + q*a. Calculate the remainder when 72 is divided by a.
22
Let x(u) = 443 - u**2 - 25*u - 227 - 227. Calculate the remainder when 23 is divided by x(-24).
10
Let i = 3799 + -3365. What is the remainder when i is divided by 146?
142
Let u(n) = -2*n + 14. Let o be u(12). Suppose 4*w - 40 = -a, 3*a - 5*a = 0. Calculate the remainder when w is divided by ((-100)/60)/(o/36).
4
Let y = -2 - 33. What is the remainder when 19 is divided by (-48)/(-10) + (-7)/y?
4
Let h = -4658 - -4850. What is the remainder when h is divided by 30?
12
Let x = 61 - 40. What is the remainder when (4 + (-78)/x)*(-1 + 554) is divided by 20?
18
Let p(h) = 3*h**2 - 11*h + 13. Let n = 71 + -9. What is the remainder when n is divided by p(3)?
6
Suppose t - 9 = -2*t. Suppose -5*h = 3*q - 208, 0 = 7*h - t*h - 5*q - 196. Calculate the remainder when 87 is divided by h.
43
Let f(t) = -3*t**3 - 13*t - 44. Let z be f(-5). Let d = z + -382. What is the remainder when 80 is divided by d?
10
Let m(d) = -d + 1. Suppose 15*t = 19*t - 644. Let v = -60 + t. Calculate the remainder when v is divided by m(-12).
10
Suppose 66 + 568 = -2*r. Let k = -214 - r. What is the remainder when k is divided by 44?
15
Suppose -16*s = -14*s + 28*s - 810. What is the remainder when 2375 is divided by s?
26
Suppose -3*s = -12 - 15. Calculate the remainder when 182/35*(1 - -14) is divided by s.
6
Suppose -13*y - 33*y - 7262 = -42314. Calculate the remainder when y is divided by 59.
54
Suppose 0 = 4*j + 3*k - 149, 5*k = 12*j - 11*j - 20. What is the remainder when (-761)/(-5) + (-1)/5 is divided by j?
12
Suppose -531 = -4410*l + 4401*l. What is the remainder when 483 is divided by l?
11
Suppose -7 - 11 = -9*y. Let i be 10/(-4)*(y/2 - 3). Suppose 2*f - 2 = 0, p + i*f - 18 - 28 = 0. Calculate the remainder when 79 is divided by p.
38
Suppose -62*t - 4*c = -65*t + 496, 4*c = -5*t + 912. What is the remainder when 1758 is divided by t?
174
Suppose -7*j = -44 + 16. Suppose j = 7*s - 5*s. Suppose a = 3*y + s*y - 129, 3*y = 3*a + 75. Calculate the remainder when 128 is divided by y.
24
Let w be 21/(-9) + (-6644)/(-33). Let i = -165 + w. What is the remainder when 67 is divided by i?
33
Let c = -320 + 151. Let z = -149 - c. What is the remainder when 158 is divided by z?
18
Let u(f) = -f**3 + 6*f**2 - 4*f + 3. Let t be u(5). Let q be 455/6 - t/(-48). Let b = 33 + q. Calculate the remainder when b is divided by 22.
21
Let t(y) = 2*y - 2. Let b = -299 - -264. Let k = -31 - b. What is the remainder when t(5) is divided by k?
0
Let t = -576 + 579. Suppose t*h - 13 = 53. What is the remainder when h is divided by 3/(-12) - (-17)/4?
2
Suppose 0 = 28*b - 7*b - 1155. Suppose 426 = 2*c + 2*l, 3*c + 2*c - 2*l = 1093. Calculate the remainder when c is divided by b.
52
Let s(g) = g**2 - 100*g + 619. Calculate the remainder when 1036 is divided by s(94).
46
Let h(c) = -c**3 + 20*c**2 - 49*c + 113. What is the remainder when h(14) is divided by 5?
3
Let q = 66 - 66. Suppose q = -4*z - g + 13, -5*z + 14 = -3*z + 2*g. Suppose z*d + 0*d - 60 = 0. What is the remainder when 57 is divided by d?
27
Let b(x) = 10*x**2 + 10*x + 2. Let a = 219 - 222. Calculate the remainder when b(a) is divided by 16.
14
What is the remainder when 567 is divided by (0 - (7 - 248/16))*18?
108
What is the remainder when (-7934)/(-12) - (5 + 696/(-144)) is divided by 44?
1
Let r = -84 - -117. Suppose -h + r - 3 = 0. Let o = -8 + 16. What is the remainder when h is divided by o?
6
Suppose 0 = -9*g + 25*g + 20*g - 155844. Calculate the remainder when g is divided by 62.
51
Let t = -3 - -16. Let g(l) = -177*l + 960. Calculate the remainder when g(5) is divided by t.
10
Let p(r) = -3*r**2 + 23*r - 19. Let j be p(10). Let h = -82 - j. What is the remainder when 96 is divided by h?
5
Let f(b) = -b**2 + 29*b - 170. Let y be f(20). Let t(m) = -m + 9. Let x be t(6). Suppose -x*v - 1 = -y. Calculate the remainder when 14 is divided by v.
2
Let c = -10358 + 10385. Calculate the remainder when 2132 is divided by c.
26
Suppose 3*i - 4*x - 103 = 0, 5*i - x - 230 = -6*x. Suppose i = -5*p + 166. What is the remainder when (-386)/(-4) + (-1)/2 is divided by p?
21
Let t = -122 + 105. Calculate the remainder when t - -70 - (-4 - -2)*2 is divided by 10.
7
Let q(i) be the second derivative of -i**5/10 - 11*i**4/12 + i**3 + i**2/2 - 128*i. Suppose 4*j = j + 165. What is the remainder when q(-7) is divided by j?
51
Suppose 8*w + 168 = 4*w + 16*w. Calculate the remainder when 53 is divided by w.
11
Suppose -2*p + 2*o = -24 - 54, 3*o = -2*p + 98. Calculate the remainder when 75 is divided by p.
32
Let w = 448 - 445. Suppose 4*l + 2*k = 254, w*l + 5*k - 137 = 64. Calculate the remainder when l is divided by 5.
2
Let x(t) = -10*t + 4. Let z be x(6). Let w be ((-79)/3)/((-1)/3). Let r = w + z. Calculate the remainder when 137 is divided by r.
22
Let s be 40/(-3) - 7/(-21)*-2. Let z be s/(-4)*4 + 3 + -7. Suppose 0 = -5*t + z, -2*i + 0*i = -4*t - 94. Calculate the remainder when i is divided by 30.
21
Let k(b) = 74*b**3 - 3*b**2 + 319*b - 956. Calculate the remainder when k(3) is divided by 32.
20
Suppose 5*v = -4*o + 2970, -5*o - 326 + 326 = 0. Calculate the remainder when v is divided by 20.
14
Suppose -5408 = -58*r + 34*r - 145*r. What is the remainder when 80 is divided by r?
16
Suppose -d + 15 = 5*z, -3*z - 14 = -0*z - 4*d. Let w(x) = -10*x + 38. Suppose -3*l + 26 + 73 = 0. What is the remainder when l is divided by w(z)?
15
Let b be ((-4)/(-3))/(3/(-6 + 15)). Suppose b*v + 2*w + 51 = 5*v, w + 54 = v. What is the remainder when v is divided by 35?
22
Let u be 2*(3 - 1) - 11. Let q be (10 + -2)/(u/(-21)). What is the remainder when 98 is divided by ((-12)/q)/(2 + 210/(-104))?
20
Let z(d) = -83*d + 2203. What is the remainder when z(-62) is divided by 75?
74
Suppose 0 = 9*z - 1851 + 114. Suppose -2*h = -4*u - 10, 216*h = 212*h - u + 74. Calculate the remainder when z is divided by h.
6
Suppose 3*f - 1073 + 820 = 2*o, -5*f + 3*o + 423 = 0. What is the remainder when 3740 is divided by f?
86
Let z(c) be the first derivative of -c**3/3 + 19*c**2 - 73*c + 45. What is the remainder when z(19) is divided by 74?
66
Let a(p) = p**2 + 3930*p - 78971. Let r(n) = n**3 + n. Let t be r(1). What is the remainder when ((-166)/(-4) + 1)*t is divided by a(20)?
27
Calculate the remainder when 36024/95 - (-8)/10 is divided by 31.
8
Suppose 57 - 75 = -3*a. Calculate the remainder when -12 + (-148)/(-12) - (-1348)/a is divided by 46.
41
Let x(r) = 46*r - 2045. Calculate the remainder when 715 is divided by x(47).
13
Suppose -13*y - 4315 = 2237. Let k = -501 - y. Calculate the remainder when 49 is divided by k.
1
Suppose 0 = z - 95 + 38. Suppose l + z = 2*q, 14*q + l = 9*q + 125. What is the remainder when 76 is divided by q?
24
Suppose 0 = -5*g + 2*f + 325, 0 = 5*g + f + 61 - 401. Calculate the remainder when g is divided by 63.
4
Suppose 318 = z - 3*o + 27, -5*o - 1455 = -5*z. What is the remainder when z is divided by 4?
3
Let t = -4439 - -4595. What is the remainder when 313 is divided by t?
1
Let q(v) = v**2 + 4*v - 20. Let w be q(3). Let n(y) = 27*y**3 + y**2 - y + 1. What is the remainder when n(w) is divided by 15?
13
Suppose -q = 3*q - 4*m + 1044, 0 = -2*q - 2*m - 538. Let k = q + 278. What is the remainder when 77 is divided by k?
12
Suppose 2*a = -3*s + 1 + 12, -3*a + 5*s = 9. Let t(h) = 3*h**3 - 2*h**2. Calculate the remainder when (-36)/126 - (-408)/7 is divided by t(a).
10
Let d(y) = -155*y - 4473. Let g(h) = h**2 - 2*h - 3. Suppose 3*z = -7*a + 3*a, 4 = 4*a + 4*z. Calculate the remainder when d(-29) is divided by g(a).
10
Let l(f) = -f**3 - 9*f**2 + 5*f - 9. What is the remainder when (-29 + 11)*((-11)/2 - 2) is divided by l(-10)?
12
Suppose 4*k + 2*k - 18 = 0. Suppose -5*t + 13 = k. Suppose -t*y = -0*y + 3*h - 56, 2*h = 4*y - 96. What is the remainder when 99 is divided by y?
24
Let q(a) be the second derivative of 7*a**3/6 - 15*a**2 - 35*a. Let o be q(-4). Let m = -25 - o. What is the remainder when m is divided by 12?
9
Let f = 372 - 253. Let l = -25 - 27. Let y = l + 92. What is the remainder when f is divided by y?
39
Let j = 40 + 6. Suppose 2764*u - 132 = 2760*u. Calculate the remainder when j is divided by u.
13
What is the