e the remainder when a is divided by p.
15
Suppose -3*t + 6*t + 9 = 2*n, 4*n - 6 = 2*t. Suppose -4*x - 14*x + 882 = n. What is the remainder when x is divided by 25?
24
Suppose -32*l + 19*l + 4693 = 0. Calculate the remainder when l is divided by 61.
56
Let o(t) = t**3 + 5*t**2 + 4*t + 7. Let u be o(-5). Let s = -7 - u. Let m = 51 + -34. Calculate the remainder when m is divided by s.
5
Let r(g) = 51*g - 9. Calculate the remainder when r(3) is divided by 41.
21
Calculate the remainder when 44 is divided by (216/30)/(18/45).
8
Let c = 17 + -7. Suppose -13*w = -96 - 944. Calculate the remainder when ((-26)/8)/((-10)/w) is divided by c.
6
Calculate the remainder when 102 is divided by (2 + (-88)/(-10))*5.
48
Let p = -10 + 10. Let v = p - 10. Let j(u) = -u**2 - 13*u + 13. Calculate the remainder when j(v) is divided by 22.
21
Suppose -4*b + 20 = -5*g, -b - 3*g - g = -5. Let x(v) = -v - 2. Let k be x(-3). Let a(n) = 20*n - 1. Calculate the remainder when a(k) is divided by b.
4
Suppose 5*w - t - 139 - 20 = 0, 3*w = -4*t + 77. Suppose 70 = -30*k + w*k. Calculate the remainder when k - -3*2/(-3) is divided by 23.
22
Suppose 20*c - 18*c - 32 = 0. What is the remainder when c is divided by 13?
3
Suppose 7*y - 28*y = -3339. Calculate the remainder when y is divided by 3 + 1 + -2 - -25.
24
Let z = 165 - 168. What is the remainder when 14/(z - 7/(-2)) is divided by 16?
12
Suppose b + 45 = 2*f + f, b - 2*f + 48 = 0. What is the remainder when 58 is divided by (b/8 + -1)*(-4 + 0)?
27
Let l(d) = 58*d**2 - d + 1. Let h = -344 - -359. What is the remainder when l(1) is divided by h?
13
Suppose -140*f - 230 = -163*f. What is the remainder when 105 is divided by f?
5
Let o(n) = -n**2 - 3*n + 5. Let j be o(2). What is the remainder when 26 is divided by (-270)/75*(j/(-2))/(-1)?
8
Let g be 10/45 - (-14)/18. Suppose -21 = -6*u + u + 4*r, r = g. Calculate the remainder when 14 is divided by u.
4
Suppose 4*j - 619 = -n + 3*j, 0 = j + 1. Let i = -5 - -6. What is the remainder when 123 is divided by (i/2)/(10/n)?
30
Suppose 4*p - 6*p = 2*v - 418, 4*v = 8. What is the remainder when p is divided by 15?
12
Suppose -p - 155 = 4*d + d, 2*d + 54 = -2*p. Let b(v) = -v**3 + 7*v**2 + 2*v - 10. Let y be b(7). What is the remainder when ((-3)/y - 0)*d is divided by 9?
6
Let c be (1068/(-10))/((-6)/20). Suppose -8*v - 44 = -c. What is the remainder when v is divided by 6?
3
Let t be 0*(-4)/(-1*8). Suppose -2*f = -4*u - 150, t*u - 6 = 3*u. Suppose -s + 120 = 4*s. Calculate the remainder when f is divided by s.
23
Let u(i) = i**2 + 4*i + 8. Let s be u(-6). Let q = 33 - s. What is the remainder when 22 is divided by q?
9
Suppose 0*x + 4*x = 136. Let c = -9 + x. Suppose -121*f - 388 = -125*f. Calculate the remainder when f is divided by c.
22
Let h(v) = 6*v**2 + v + 1. Let w be h(-1). Suppose n = w*n - 15. Let r(g) = g**3 + 4*g**2 - 25*g - 21. What is the remainder when r(-7) is divided by n?
1
Suppose -62 = 2*b - 0*b. Let v = -15 - b. Let g(m) = m**2 + 26*m - 93. Calculate the remainder when g(-31) is divided by v.
14
Suppose -g - 232 = -3*g. Let p = -7 + g. Let i = 119 - 91. What is the remainder when p is divided by i?
25
What is the remainder when (192/80)/((-4)/(-30)) is divided by 11?
7
Suppose 0 = -5*u + 2*u + 360. Let n = u + -66. What is the remainder when n is divided by 16?
6
Suppose 4*l + 5 = n, 2*n - l - 31 = -0*n. Let p(g) = -2*g**2 + 3*g + 2. Let h be p(3). Let f(r) = -10*r - 3. What is the remainder when f(h) is divided by n?
16
Let j = -16 + 23. Suppose j*f - 3*f = n - 20, 8 = 4*n + 2*f. Suppose -5*v + 2*x = -65 - 35, n*x - 40 = -2*v. Calculate the remainder when 58 is divided by v.
18
Suppose 14*r + 56 = 18*r. Suppose -9 - r = -w. What is the remainder when w is divided by 12?
11
Let h(u) = -2*u - 30. Let n be h(-10). What is the remainder when 2 + (n - -13) + (-3)/1 is divided by 1?
0
Calculate the remainder when 247 is divided by 2/(-24) - (-49)/12.
3
Let q(g) = 53*g**2 + 8*g - 9. What is the remainder when 155 is divided by q(1)?
51
Suppose -14*t + 80 = -13*t. Suppose u + 4*u - t = 0. Calculate the remainder when 77 is divided by u.
13
Let y = -6 + 19. Suppose z - y = -7. Calculate the remainder when z is divided by ((-2)/2)/(1/(-3)).
0
Let v(l) = l + 11. Let s be v(-12). Let a(b) = -18*b**3 + 2*b + 1. Suppose 2*i - 9 = 9. What is the remainder when a(s) is divided by i?
8
Let s(d) = d**2 + 21*d + 7. Let p be s(-21). Let r = p - -4. What is the remainder when 31 is divided by r?
9
Let j be -6*4/(-144) - (-3)/(-18). Suppose j = 4*y - 5*y - 4*d + 41, -2*y + 70 = 2*d. Suppose -480 = -5*g - 0*g. What is the remainder when g is divided by y?
30
Suppose 0 = -4*b - 3*d + 95, -3*b = -0*d + d - 75. What is the remainder when 61 is divided by b?
9
Suppose 865 = 8*f - 335. What is the remainder when f is divided by 14?
10
Suppose 0*o - 5*o - 3*f + 823 = 0, 20 = -5*f. Calculate the remainder when o is divided by 17.
14
Suppose 53*u + 624 = 18432. What is the remainder when u is divided by 163?
10
Suppose -116 - 90 = -s. What is the remainder when s is divided by 16?
14
Suppose y + 116 - 47 = t, 2*y = -2*t + 158. Let j = -22 + t. What is the remainder when j is divided by -2 - 40/(2/(-1))?
16
Suppose 0 = -4*j + 3*b + 24, -4*j - 8 = -2*b + 7*b. What is the remainder when 24 is divided by j?
0
Let f = -57 - -108. Suppose -3*m + f = -51. What is the remainder when 202 is divided by m?
32
Let f(d) = -d**2 + 4*d. Let k be f(2). Suppose -a - 3*a = -o + k, -o + 32 = 3*a. What is the remainder when (-916)/(-16) + 2/(-8) is divided by o?
17
Suppose r - 5 + 1 = 0. Let a be (-25)/(-10) + (-2)/r. Let c = 4 + a. Calculate the remainder when 27 is divided by c.
3
Let r(i) = 3*i**3 + 28*i**2 + 6*i + 6. What is the remainder when 128 is divided by r(-9)?
29
Let b(j) = 7*j - 4. Suppose 2*x + 11 = -4*z + 31, 0 = 2*x - 8. Calculate the remainder when b(z) is divided by 5.
2
Suppose 4*y - 109 = -5*g, 3*g - 21 - 38 = 4*y. Suppose -88 = -5*k - 3. What is the remainder when 1389/g + (-3)/21 is divided by k?
15
Let r(s) = -s + 12. Let f be r(-8). Let c = f - 15. Calculate the remainder when 14 is divided by c.
4
Let o(p) = -p**3 + 2*p - 4. Let q be o(-3). Suppose s = 2*s - q. Suppose 2*h - 67 = -b, -3*b - 83 - 57 = -5*h. Calculate the remainder when h is divided by s.
14
Suppose 3*t = -s - 0*s - 11, -13 = -s + 3*t. Suppose -5*b - 24 = -2*l, 4*b - 2*l + 17 = -s. What is the remainder when 17 is divided by b/(-33) + (-159)/(-33)?
2
Let d = -94 - -73. Let w = d + 44. What is the remainder when 65 is divided by w?
19
Suppose 0 = 15*o + 4*o - 19. What is the remainder when 5 is divided by o?
0
Let c(y) = 1 + 2*y**2 + 5*y - 4*y - 5*y. Let z = 2170 + -2172. What is the remainder when 32 is divided by c(z)?
15
Suppose -261 = -2*t + 117. Let g = t + -112. Suppose 0 = 9*s - 2*s - 140. Calculate the remainder when g is divided by s.
17
Suppose -29*d + 37*d - 808 = 0. Calculate the remainder when d is divided by 53.
48
Suppose 0*h = -5*h + 440. Suppose 0 = -f + h + 29. Suppose s = 2*p - 0*s - f, -5*s - 290 = -5*p. What is the remainder when p is divided by 20?
19
Let p(h) = h**2 - 2*h - 26. Let a be p(0). Let z = -24 - a. What is the remainder when 25 is divided by 16/(-4) - -19 - z?
12
Let w(q) = 9*q - 61. Let m be w(7). Suppose 0 = -m*v - 2 + 62. What is the remainder when 116 is divided by v?
26
Suppose 5*d - 78 = 2*d. Let b = -16 + d. What is the remainder when 34 is divided by (-235)/(-25) - 4/b?
7
Let c = 1098 - 45. Calculate the remainder when c is divided by 62.
61
Let d = -47 - -84. What is the remainder when d is divided by (-10)/(-5) + 10 - (0 - -2)?
7
Let z = 177 - 162. Calculate the remainder when z is divided by 3.
0
Let k = 144 + -67. Let y = 72 - 32. What is the remainder when k is divided by y?
37
Let x = -59 - -62. Suppose 10 = -2*q, -x*q + 3 = 3*f - 27. What is the remainder when 89 is divided by f?
14
Suppose -2*j - 16 = -94. Let t = -271 + 285. What is the remainder when j is divided by t?
11
Suppose -5*m + 45 = 4*j - 6*m, 0 = -3*j + 2*m + 35. What is the remainder when 30 is divided by j?
8
Let l(x) = -3*x**2 + 71*x - 38. What is the remainder when l(20) is divided by 46?
44
Suppose 8*o - 168 = 40. What is the remainder when 147 is divided by o?
17
Let k(m) = m**3 - 10*m**2 + 11*m - 5