- 6090, -7*z + 6*z = 4*x + 4872. Calculate the remainder when (8/6)/((-56)/x) is divided by 6.
5
Suppose 3*y - 10 = -2*y. Suppose -5*v + 49 = -56. Suppose -c + v = y*c. Calculate the remainder when 26 is divided by c.
5
Suppose -5*v + 354 = y + 82, 2*y = 2*v - 116. What is the remainder when 71 is divided by v?
16
Suppose 2*k + 1 = -5*a, k + 3*a - 3 = -5. Let t be -22*(-4 - -1 - -2). Suppose 0*h + t = 2*h. Calculate the remainder when h is divided by k.
4
Suppose 599 = 4*a + 135. Calculate the remainder when a is divided by 20.
16
Let h(t) = t**3 + t**2 - 10*t + 3. What is the remainder when 133 is divided by h(4)?
4
Let n be -9*((-141)/9 - -4). What is the remainder when 6 is divided by (180/n)/(2*(-2)/(-14))?
0
Suppose -2*c - 3 - 60 = -3*m, 3*m - 5*c = 63. Let l = -806 - -845. Calculate the remainder when l is divided by m.
18
Let v(b) = -b**3 + 13*b**2 + 4*b + 21. Let u be v(12). Suppose -5*h + 201 = -2*t, -3*t - t + u = 5*h. What is the remainder when h is divided by 6?
5
Let m(g) = 2*g**2 + 7*g - 57. What is the remainder when m(-10) is divided by 19?
16
Let l(f) = 3*f + 13. Calculate the remainder when 281 is divided by l(3).
17
Suppose 5*l = 3*l - 76. What is the remainder when (-1 + 3)*4/(-8)*l is divided by 19 - 1/(-2)*2?
18
Let v = 3 - -1. Let j(b) = 12 - 3*b + b**2 - 3*b + v*b + 3*b - b**3. What is the remainder when 47 is divided by j(0)?
11
Let s(t) = 59*t. Let b = -1380 + 1396. What is the remainder when s(1) is divided by b?
11
Let n(o) = -11*o + 4. Let l(a) = 5*a**2 + 2*a. Let t be l(-2). Suppose -g - g - t = 0. Calculate the remainder when n(g) is divided by 31.
30
Let h = 12 - -21. Let b = 231 + -1575. What is the remainder when 1/((-398)/b + (-2)/7) is divided by h?
30
Suppose -2*l - 3*r = 2*l - 239, 0 = 5*l + r - 285. Suppose 3*h - 8*h - 85 = -5*y, 5*h = -25. What is the remainder when l is divided by y?
8
Let w = 163 - 139. Calculate the remainder when 44 is divided by w.
20
Suppose -5*p = 4*l - 45, 0 = 2*p + 4*l + 1 - 19. What is the remainder when 36/(-3)*(-4)/2 is divided by p?
6
Let i = 170 - 115. What is the remainder when i is divided by 28?
27
Let t = 126 + -90. Let s(n) = -2*n + 2. What is the remainder when t is divided by s(-4)?
6
Let c(n) = 127*n - 509. Calculate the remainder when c(8) is divided by 64.
59
Let b(j) = -19*j - 59. Calculate the remainder when b(-4) is divided by 11.
6
Suppose 330 + 302 = -8*f. Let t = -63 - f. Calculate the remainder when t is divided by 6.
4
Let k(f) = f + 39. Calculate the remainder when 80 is divided by k(-13).
2
Let n be -2*(-5)/((-60)/(-258)). Suppose -l = -0*l. Suppose l*j + j - n = 0. Calculate the remainder when j is divided by 15.
13
Let y be 10/(((-50)/5)/(-5)). Suppose 0 = -y*f + 58 + 67. Calculate the remainder when (1/3 + 0)*291 is divided by f.
22
Calculate the remainder when 178 is divided by ((-44)/(-154))/(1/91).
22
Let p(r) = 7*r. Let h be p(2). Suppose 4*t + 18 + h = 0. Let c = 29 + t. Calculate the remainder when 39 is divided by c.
18
Let m = 2444 - 2408. Calculate the remainder when m is divided by 19.
17
Let j(g) = -g**3 - 19*g**2 + 17*g - 15. Let h be j(-20). Calculate the remainder when 54 is divided by 477/h + 2/5.
10
Let w = -23 - -33. Let d be w/1*(-14)/(-2). Suppose -111 - 4 = -4*q + 3*j, -d = -3*q - j. Calculate the remainder when 97 is divided by q.
22
Let s = 97 + -61. What is the remainder when 106 is divided by s?
34
Let k(h) = -h**2 - 4*h + 2. Let y be k(-3). Suppose 18 = y*p + 3. Suppose p*d - 68 = -d. What is the remainder when d is divided by 6?
5
What is the remainder when 521 is divided by ((-1)/((-2)/150))/(-100 + 101)?
71
Let m(t) = -18*t + 347. Calculate the remainder when 90 is divided by m(18).
21
Suppose d + 5*w + 433 = 4*d, 0 = 5*d - 5*w - 705. Let p = d - 126. Calculate the remainder when 23 is divided by p.
3
Let f(u) = 20*u - 1133. Calculate the remainder when 251 is divided by f(58).
8
Let q be (-6)/(-9)*(-6)/(-4). Suppose 2 = f + q. Calculate the remainder when ((-3)/(30/4))/(56/(-420)) is divided by f.
0
Let y(l) = -7*l - 1. Let z be y(-3). Suppose -z = 5*t - 9*t. Calculate the remainder when t is divided by 3.
2
What is the remainder when (2224/(-6))/(16/(-24)) is divided by 17?
12
Suppose k + 5*t - 38 = t, -5*k - 3*t = -105. Suppose h = -h + k. What is the remainder when (3/2)/((-6)/(-64)) is divided by h?
7
Let m be (-2)/8 - (-42)/8. Suppose 0 = -3*p - 5*j + 134, 1 - 21 = -m*j. Calculate the remainder when p is divided by 8.
6
Let k(w) = -w**3 - 5*w**2 + 4*w. Let a be 95 - (-3)/(-2 + 1). Suppose 0 = 4*c - a - 84. What is the remainder when c is divided by k(-6)?
8
Suppose 0 = 27*x - 19*x - 456. Calculate the remainder when 568 is divided by x.
55
Let c(j) = 3*j + 1. Let z be c(6). Suppose 3*b + 6 = -h, -3*h = -2*b + 2 + 16. Let k = h + z. What is the remainder when k is divided by 3?
1
Suppose 24*d - 123 - 453 = 0. Calculate the remainder when 40 is divided by d.
16
Let m(d) = -89*d - 709. Let g = 32 + -20. What is the remainder when g is divided by m(-8)?
0
Suppose -x = -4*o + 20, -2*o - 26 = x + 3*x. Let a = x + 20. What is the remainder when 6/27 - 374/(-18) is divided by a?
9
Suppose -33 = -3*r + d, -r = 3*r - 5*d - 44. Suppose 20*z - 1152 = 2*z. What is the remainder when z is divided by r?
9
Suppose w + 60 = 94. What is the remainder when w is divided by 20 + -4 - 6/(-2)?
15
Suppose -7*p - 19 = -124. What is the remainder when (150/(-4))/3*(-1 - 1) is divided by p?
10
Let h = -5 - -7. Let a = 3 + 5. Calculate the remainder when -2*h/((-8)/46) is divided by a.
7
Let i(r) be the first derivative of 2*r**3/3 - r**2 + r - 3. Let x = 94 - 89. What is the remainder when i(-2) is divided by x?
3
Suppose -5 = -l - 0*l. Suppose l*c - 121 = 19. What is the remainder when (2/1)/(c/126) is divided by 2?
1
Let y(o) = 0 - 6*o + o**3 + 6 - 2*o - 5*o**2 + 0*o**3. What is the remainder when y(7) is divided by 25?
23
What is the remainder when 281 is divided by (0 - -95)*98/98?
91
Suppose 5*q + 0*q = 5*h + 155, -5*q - h = -173. Calculate the remainder when ((-195)/9)/(2/(-6)) is divided by q.
31
Let k = 35 + -19. Suppose 2*w - 4*o + 63 - 603 = 0, 4*w = -5*o + 1080. Suppose 7*r - w = r. Calculate the remainder when r is divided by k.
13
Let l(x) = x**3 + 13*x**2 - x - 14. Suppose -4*g + 35 = -3*o, g + 51 = -4*o + 2*g. Let t be l(o). Let m = 10 + t. What is the remainder when 34 is divided by m?
7
Suppose 12*n - 26 = 46. What is the remainder when 71 is divided by n?
5
Suppose 76 = 11*a - 34. Suppose 11*l - 58 = a*l. What is the remainder when l is divided by 15?
13
Suppose 0 = -9*x + 3*x + 18. Let k(g) = 11*g**2 - 3*g - 2. What is the remainder when k(-1) is divided by x?
0
Let l be 92/16 + (-6)/8. Suppose -26 = -l*x - 4*j, 0 = -2*x - j + 4*j - 8. Suppose x*d - 4*d + 10 = 0. What is the remainder when 5 is divided by d?
0
Suppose 0 = 2*p - 2*c - 4, 6*p - 4*c - 13 = p. Suppose 5*z - 2*z = 15. Suppose z*t = h + 45, -t - 2*h + 25 = p. What is the remainder when 27 is divided by t?
7
Let j(v) = 7*v + 13. Let l be j(-5). Let t = l + 36. What is the remainder when (-1 - -2) + (-53)/(-1) is divided by t?
12
Suppose -4268 = -17*s + 4147. Calculate the remainder when s is divided by 62.
61
Let w(p) = p**2 - p + 1. What is the remainder when (-1005)/(-7) - (-20)/((-1400)/(-30)) is divided by w(5)?
18
Let o(g) = g**3 - 15*g**2 + 17*g - 10. Suppose 3*n = 3, 3*x - 30 = x - 2*n. Calculate the remainder when o(x) is divided by 8.
0
Let t(g) be the first derivative of -4*g**2 - 3*g - 7. Calculate the remainder when 69 is divided by t(-1).
4
Let h = -5 - -14. Let s = -44 - -59. Calculate the remainder when 22/(-5)*s/(-2) is divided by h.
6
What is the remainder when 177 + (-1 + 2/4)*10 is divided by 8?
4
Let j be 8/5 - (-4)/10. What is the remainder when (6 + -5)/(j/70) is divided by ((-6)/12*1)/((-1)/24)?
11
Suppose -22*p + 308 - 22 = 0. Let t(w) = 4*w + 1. What is the remainder when p is divided by t(1)?
3
Let x be -8*(8/(-12))/((-4)/6). What is the remainder when 91 is divided by (310/(-15))/(-2 - x/6)?
29
Let g(r) = r + 5. Let v(s) = -5*s**3 + 2*s**2 + s. Let y be v(-1). Let p be g(y). Let c = 72 + p. Calculate the remainder when c is divided by 21.
20
Let f(d) = 6*d**2 - 22*d - 113. Calculate the remainder when f(-5) is divided by 15.
12
Let l(