et z be o/(0 + -3 + 1). Suppose z*u - 68 + 8 = 0. Calculate the remainder when 46 is divided by u.
10
Suppose -4*x = -4*p + 105 - 13, 3*p + x = 57. Suppose 4*y + 2*n = 76, 4*y - 5*n - 99 = -23. Let i = y + 59. What is the remainder when i is divided by p?
18
Let x = 15251 + -15244. Suppose 3*n - 4*n = -19. What is the remainder when n is divided by x?
5
Let y(q) = 7*q**2 - 7. What is the remainder when y(-2) is divided by 8?
5
Let v(b) = -b + 15. Suppose 0 = -5*j + 2 + 8. Suppose 4*n + c = -0*c + 51, -28 = -2*n + j*c. What is the remainder when v(-9) is divided by n?
11
Suppose 4*v = 90 - 102. What is the remainder when 14 is divided by 21/6 + (v - 20/(-8))?
2
Suppose -2*y + 2*o + 23 = 3, 0 = 5*y + 3*o - 90. Let b = 24 - y. What is the remainder when b is divided by 6?
3
Suppose 10*p - 104 = 2*p. Let x(v) = 2*v**2 + 2*v. Let u be x(-2). Suppose -5*y = -c - 187, 0*c - u*c + 29 = y. What is the remainder when y is divided by p?
11
What is the remainder when 696 is divided by (-48800)/(-1400) + (-1)/(-7)?
31
Let h(d) = -d**3 - 12*d**2 + d + 14. Let w be h(-12). Suppose 0 = 4*o - 0*u + w*u - 698, 2*o - 358 = -4*u. Calculate the remainder when o is divided by 44.
41
Suppose 3 = 4*l - 17, 5*l - 53 = -2*t. Suppose t = 4*r - 6. What is the remainder when 13 is divided by r?
3
Let n(k) = 4*k + 102. Calculate the remainder when n(6) is divided by 32.
30
Let g = 497 + -448. Let w = 7 + 10. Calculate the remainder when g is divided by w.
15
Suppose -2*c + 13 + 7 = 0. Let j be 3/(-4)*(-8)/3. Suppose -2*d + d + c = j*i, 2*d - 20 = 2*i. What is the remainder when d is divided by 3?
1
Let d(c) = 4*c - 65. Let o be d(18). Suppose o*i - 57 = 13. Calculate the remainder when 18 is divided by i.
8
Suppose 0 = -y - 0*y - 2*p + 17, -y + 11 = -4*p. What is the remainder when ((-84)/(-4))/(-7 - -8) is divided by y?
6
Suppose -8 - 19 = -9*l. Suppose -l*w - w + 148 = 0. Calculate the remainder when 145 is divided by w.
34
Suppose -5*k = -4*c - 0*c + 148, 0 = k. What is the remainder when 55 is divided by c?
18
Calculate the remainder when 138 is divided by 75 + ((-80)/(-45))/(6/27).
55
Calculate the remainder when 342 is divided by (12 - (-13 - 48)) + 12.
2
Suppose 117*u - 126 = 108*u. Let o = 11 - 9. Calculate the remainder when u is divided by o.
0
Let o(f) = -4*f**2 + 8*f - 218*f**3 + 219*f**3 + 2*f**2 - 4. What is the remainder when o(5) is divided by 1*56*(-1)/(-2)?
27
Suppose -4*g + 16 = -3*m, 3*g - 12 = -m - 2*m. Let p = -1 + g. Suppose x + p*x = q - 21, 43 = 3*q - 2*x. Calculate the remainder when 49 is divided by q.
10
Let w be 22*-6*(-3)/12. Let g = 70 - w. Calculate the remainder when 183 is divided by g.
35
Let t(g) be the first derivative of -g**4/4 - 7*g**3 - g**2/2 + 2*g - 2. Suppose -2*v + 7*v = 30. What is the remainder when t(-21) is divided by v?
5
Let t = 1003 + -968. What is the remainder when 95 is divided by t?
25
What is the remainder when ((-495)/18)/11*428/(-10) is divided by 5?
2
Let w = 17 - 20. Let a(l) = -4*l. Let x be a(w). Let d(h) = h**2 - 4*h - 2. What is the remainder when d(x) is divided by 19?
18
Let f(j) = j**3 + 2*j**2 - 5*j - 1. Let x be f(-3). Let h(b) = -b**3 + 5*b**2 + 3*b - 2. Calculate the remainder when 34 is divided by h(x).
8
Let v = 1227 + -920. Calculate the remainder when v is divided by 22.
21
Suppose 0 = -5*o + 13 + 22. Let q = -1 + o. Suppose -4*m - 14 = -q*m. What is the remainder when m is divided by 3?
1
Suppose 5*t + 0*h = 3*h + 702, 5*h = -9*t + 1274. Calculate the remainder when t is divided by 12.
9
Let j(a) be the second derivative of -4/5*a**5 + 0*a**3 + 0*a**2 + a + 0 - 1/12*a**4. Calculate the remainder when j(-1) is divided by 6.
3
Let c(n) = 20*n + 47. Calculate the remainder when 139 is divided by c(0).
45
Suppose 5*f + 24 = 17*f. Suppose 0 = -f*p + 5*y + 110, -3*y + 10 = -2. Calculate the remainder when p is divided by 11.
10
Let v = -22 + 38. Suppose 4*o = 2*r - 0*o - 10, -3*o = -3*r + 15. What is the remainder when v is divided by r?
1
Let g = -11 + 20. Let x be g*-2*6/(-9). Suppose x = 2*f - 28. Calculate the remainder when f is divided by 7.
6
What is the remainder when 131 + 6/9 + (-25)/15 is divided by 74?
56
Calculate the remainder when (-6 + 128)*(-1)/(-2) is divided by 23.
15
Suppose 3*o + 2*s - 3 = -7, 4*s = -3*o - 8. Let l(n) = 2*n + 4. Let v be l(o). What is the remainder when 44/v + -1 - 1 is divided by 6?
3
Let q(t) = t**3 - 8*t**2 + 19*t - 30. What is the remainder when 121 is divided by q(7)?
13
Let c(p) = 22*p - 1. Let r = 276 + -259. Calculate the remainder when c(3) is divided by r.
14
Let p(i) = 7*i**3 + 4*i**2 - 3*i - 3. Let v(j) = 8*j**3 + 4*j**2 - 4*j - 3. Let a(u) = -4*p(u) + 3*v(u). What is the remainder when a(-3) is divided by 16?
11
Let c(y) = y**2 - 4*y + 7. Let m be c(3). What is the remainder when 4/16*155 - (-1)/m is divided by 7?
4
Suppose 0 = -17*p + 1814 + 1025. Calculate the remainder when p is divided by 34.
31
Let d be (-432)/(0 - 8) + (2 - -1). Suppose 2*y + 3*y - 108 = 3*i, 22 = -i - 3*y. Let u = d + i. What is the remainder when 76 is divided by u?
24
Let c(j) = 16*j**2 - 14*j - 66. What is the remainder when c(-4) is divided by 36?
30
Suppose 10*s = 539 + 201. What is the remainder when 282 is divided by s?
60
Suppose 2*z = -4*v - z + 53, 5*v - 4*z - 43 = 0. What is the remainder when 75 is divided by v?
9
Suppose 5*n - 2*u = 649, 4*n + u - 417 = 110. Calculate the remainder when n is divided by 11.
10
Calculate the remainder when 1 - 10 - 855/(-9) is divided by 78.
8
Let c = -26 - -42. Let u = 227 - 198. Calculate the remainder when u is divided by c.
13
Let l(a) = 32*a**3 + 2*a**2 - 1. Suppose 3*w + 15 = -m, 0 = -2*m + 2*w + 3*w + 14. Calculate the remainder when l(1) is divided by (-2 - m)*(-36)/(-3).
9
Let h = 49 - 47. Suppose 2*a - 54 = -h*x - 6, -5*x - a = -104. What is the remainder when 117 is divided by x?
17
Let w = -1531 + 1608. Calculate the remainder when 256 is divided by w.
25
Suppose 4*b + 3*z = 59, -3*z - 1 = 8. Calculate the remainder when 84 is divided by b.
16
Let z = -17 - -56. Let i(c) = -33*c + 81. What is the remainder when z is divided by i(2)?
9
Let b(g) = g**3 + 4*g**2 + 7*g + 9. Let r be b(-6). Let j be -185 + (-22 - -9) + 3. Let s = r - j. Calculate the remainder when s is divided by 31.
28
Suppose 12 = -2*l + 124. What is the remainder when 164 is divided by l?
52
Let i = -230 + 295. Calculate the remainder when i is divided by 11.
10
Let k(g) = -g**3 + 5*g**2 + 18*g + 16. What is the remainder when 264 is divided by k(6)?
0
Let z be 86/4 + (-1)/(-2). Let w be -1*19*(-26 - -25). Let c = z - w. What is the remainder when 11 is divided by c?
2
Let t(q) = q**3 - q**2 + 12*q - 7. What is the remainder when t(6) is divided by 62?
59
Let r be (-7)/(-3) - 8/(-12). Let j be 1*(r/1 + -1). Suppose 5*h = -2*m + j, -3*h - 5 = -4*m - 1. Calculate the remainder when 1 is divided by m.
0
Let k = 28 - 28. Suppose k = 3*y - y - 40. Suppose 5*g = 5*u + 290, 2*g + 2*g + u - 232 = 0. What is the remainder when g is divided by y?
18
Suppose -i + 57 = 2*i. Suppose 4*n - 318 = 2*n. Suppose -3*o + a = -n, 0*o + 111 = 2*o + a. What is the remainder when o is divided by i?
16
Suppose 0 = 4*l - 12, l + 2*l = 4*r - 55. Let a = -7 + r. Let v = -240 + 255. What is the remainder when v is divided by a?
6
Let u(o) be the third derivative of 67*o**5/60 + o**3/6 - 2*o**2. What is the remainder when u(1) is divided by 18?
14
Let y(u) = -u**2 + 9*u + 4. Let b be (-4)/18 - 195/(-27). What is the remainder when 50 is divided by y(b)?
14
Suppose 5*b + 2*o - 32 = 51, b - 27 = -3*o. Let y be (1 - (3 + 2))*-17. Let i = y - 10. What is the remainder when i is divided by b?
13
Let p be (-4)/(-14) - 66/(-14). Suppose -p*y + 760 = 3*y. What is the remainder when y is divided by 32?
31
Suppose -9*c = -24*c + 2130. What is the remainder when c is divided by 8?
6
Suppose 5*k - 9 = 3*k + 3*m, -5*m - 11 = -3*k. Let a = -58 - -94. Suppose -2 = n - a. What is the remainder when n is divided by k?
10
Let m(b) = -2*b**3 + 2*b**2 - b**2 - 9*b**3. Let q be m(1). Let g = 0 - q. Calculate the remainder when 38 is divided by g.
8
Suppose 46 = 2*h + 2*z, h + 6*z = 3*z + 33. Calculate the remainder when 447 is divided by h.
15
Suppose 85*t - 98*t = -5356. What is the remainder when t is