Let p = -14 + 32. Let u = -58 - -113. Let c = u - p. What is the remainder when c is divided by 13?
11
Suppose -15 = -3*l + 3*p, l - 20 = -2*p - 0*p. Suppose -3*b + l = -5. Calculate the remainder when b is divided by 4.
1
Let l be (7/(-14))/(1/(-6)). Suppose l = 2*t - 5. Suppose -2*v = -2*g + t, 0*v + 3*v = g + 6. What is the remainder when 23 is divided by g?
5
Suppose 2*i + 1232 = 4*q, 10*i = 6*i - 8. What is the remainder when q is divided by 89?
40
Let n(t) = 5*t**2 + 5*t + 33. Calculate the remainder when n(-5) is divided by 35.
28
Let g be (-23)/(-5) + 6/15. Suppose -2*q = -4*q + 10, g*z - 80 = 4*q. Suppose -69*l + 2650 + 2801 = 0. What is the remainder when l is divided by z?
19
Let t = -20 + -11. Let k = 98 + -147. Let u = t - k. Calculate the remainder when 70 is divided by u.
16
Suppose 0 = -5*h, 2*h = -3*r - 0*r + 414. Let g(l) = -l**3 - 32*l**2 - 35*l - 89. What is the remainder when r is divided by g(-31)?
33
Let h be (-1)/((-4)/16*-1). Let r(c) = -c**3 - 3*c**2 + 3*c. Let j be r(h). Let o = j + 7. What is the remainder when 53 is divided by o?
9
Let y(j) = j + 22. Let g be 30/((-8)/(-12)*3). What is the remainder when y(g) is divided by 10?
7
Let c(g) = -g**2 - g + 18. Let u be c(0). Let j = -7 + u. Let i = 17 - 10. What is the remainder when j is divided by i?
4
Let c(x) be the third derivative of x**5/60 - x**4/24 + 5*x**3/6 - 13*x**2. What is the remainder when c(-3) is divided by 9?
8
Let d = -66 + -33. Let j = 216 + d. What is the remainder when j is divided by 40?
37
Let c(x) be the third derivative of x**6/120 - x**5/30 + x**4/8 - x**3/6 - x**2. Let f = -40 + 44. What is the remainder when c(f) is divided by 11?
10
Let a = 3 - 1. Suppose -2*h + a*v - 3 = -31, 4*v = -h + 24. What is the remainder when 59 is divided by h?
11
Let i = -37 + 39. Suppose -5*l - 2*r + 164 = 0, l - i*l + 3*r + 43 = 0. What is the remainder when l is divided by 19?
15
Let x(r) be the first derivative of 3*r**4/4 - 5*r**3/3 - r**2/2 + 3*r - 2. Let q be x(4). Suppose q + 73 = 4*g. What is the remainder when g is divided by 16?
14
Suppose -4*t - 5*v + 4 = 9, 2*t - 5*v - 35 = 0. Suppose -2*u = 5*n - 8 - 8, 2*u - t*n + 24 = 0. Calculate the remainder when (-5)/u - 3/6 is divided by 1.
0
Let w be (9/(-15))/(2/(-10)). Suppose w*l - 36 = -3*h, 3*h + l - 2 - 36 = 0. Calculate the remainder when 23 is divided by h.
10
Let j be (1 - -3 - 4) + 2. Suppose -5*d + 40 = 4*u + u, j*d - u = 25. Calculate the remainder when 42 is divided by d.
9
Let n = -65 + 59. Calculate the remainder when (n/8 + (-40)/(-32))*128 is divided by 26.
12
Let h(d) = 2*d + 2. Let u be h(-1). Suppose 4*q + 15 - 107 = u. Calculate the remainder when 22/(-2*(-2)/8) is divided by q.
21
Suppose -4*f = -q - 134, 3*f + 4*q - q = 93. Let p(m) = 110*m - 207. What is the remainder when p(3) is divided by f?
24
Suppose 43 = 2*h + 11. Let n(b) = -34*b - 6. Let y be n(-2). Suppose 149 = 5*s + a, -6*s + 4*s - a = -y. Calculate the remainder when s is divided by h.
13
Let l be ((-9)/6)/(6/(-16)). Let a(w) = w**3 + 6*w**2 + 3*w + 4. Calculate the remainder when a(-3) is divided by (-52)/(-8) - 2/l.
4
Let t be 11/2 - 4/8. Let b(g) = -t - g + g - 9*g + 2*g. Calculate the remainder when 35 is divided by b(-2).
8
Let l(b) = -b + 7. Let p be l(-5). Let n = p - 8. Suppose n*q = q + 12. What is the remainder when 7 is divided by q?
3
Suppose -5*c + 4*c + 5 = 0. Let h(t) = 16 + c + 6*t - 4*t**2 + 3*t**2 + 16*t. What is the remainder when h(16) is divided by 30?
27
Let z(s) = s**2 - s - 1. Let t be 16/(-7) + (-8)/(-28). Let o be z(t). Suppose 53 = o*j - 47. What is the remainder when 59 is divided by j?
19
Suppose -4*v = -30 - 90. Let g = -18 + v. What is the remainder when 57 is divided by g?
9
Let f(j) = 5*j - 7. Let z(d) = -2*d - 20. Let t be z(-11). What is the remainder when f(t) is divided by 3?
0
Let p = 231 + -201. Calculate the remainder when p is divided by 17.
13
Suppose -9*m + 52 = -5*m. Suppose 3*j - 2*j - s = m, -s = 2*j - 17. Let h(t) = t**3 - 7*t**2 + 4*t - 10. What is the remainder when h(7) is divided by j?
8
Let b(w) = -w**3 - w**2 + w + 5. Let j be b(0). Suppose -j*g = -0*g - 115. Suppose 5*c - 10 = 20. Calculate the remainder when g is divided by c.
5
Suppose -3*q - 752 = -19*q. What is the remainder when 89 is divided by q?
42
Let u = -961 - -972. What is the remainder when -20*(-1)/(-5)*-8 is divided by u?
10
Let c be 5 + 9/(-6)*2. Let l(b) = b**3 - 2*b**2 + 4*b - 5. Calculate the remainder when l(4) is divided by (2/4)/(c/88).
21
Suppose 9*m + 107 = 2123. What is the remainder when m is divided by 21?
14
Suppose 8*m - 120 = 40. What is the remainder when 72 is divided by m?
12
Suppose 1414*y - 243 = 1405*y. What is the remainder when 376 is divided by y?
25
Let d = -11 - -32. What is the remainder when 33 is divided by d?
12
Let r = 194 + -164. Calculate the remainder when 142 is divided by r.
22
Let w be (-10)/20*(-2)/(-1). What is the remainder when 23 is divided by (2 - -1) + 3 + w?
3
Suppose 637 = 5*a + 2*a. What is the remainder when a is divided by 13?
0
Suppose -3*u = 25 + 11. Let j = 35 + u. What is the remainder when j is divided by 6?
5
Let d(z) = -86*z - 247. What is the remainder when d(-3) is divided by 7?
4
Let m = -99 + 118. Let o = -10 - -16. Let c = m - o. What is the remainder when 37 is divided by c?
11
Let d = -877 - -887. Calculate the remainder when 137 is divided by d.
7
Let d be 2*(-2 - 13 - 0). Let y be ((-133)/3)/7*3. Let b = y - d. What is the remainder when 30 is divided by b?
8
Suppose 84 = -5*w + r + 4, r - 20 = w. Let s = 35 + w. Let t = -3 + s. What is the remainder when t is divided by 10?
7
Suppose 99 = -v - 3*v + 5*m, 2*v + 47 = 5*m. Let n = -17 - -24. Calculate the remainder when -1 - v - 0/(-9) is divided by n.
4
Suppose -11*v = -29*v + 270. Calculate the remainder when 203 is divided by v.
8
Let n = -21 - -14. What is the remainder when (-12)/42 + (-128)/n is divided by 11?
7
Let s(z) = z**2 + 45*z - 133. Calculate the remainder when s(-50) is divided by 26.
13
Let x(n) = -70*n - 112. What is the remainder when x(-5) is divided by 68?
34
Suppose 5*u - 105 = 2*f, 2*u + 2*f = -0*u + 56. Suppose 210 - 574 = -4*a. What is the remainder when a is divided by u?
22
Let s = -1300 + 1657. Calculate the remainder when s is divided by 113.
18
Let q(f) = -2*f + 2. Let n be q(-1). Suppose -2*b + 48 = -2*h, n*h = -0*h + 4. Calculate the remainder when b is divided by 13.
12
Suppose -2*q + 63 - 1 = 0. What is the remainder when q is divided by ((12/9)/4)/((-2)/(-66))?
9
Suppose -3*a - 3*w + 604 = w, -4*a + 801 = w. Suppose 0 = 4*q - 2*s - 430, -3*q - 2*s + a = -q. Calculate the remainder when q is divided by 12.
9
Let c = 8 + -3. Suppose 4*v + v = c. What is the remainder when v is divided by 9/(-18) + 6/4?
0
Suppose 0 = 15*g - 958 - 3812. Calculate the remainder when g is divided by 20.
18
Suppose 4*d = 4*d + d. Suppose 5*s + 55 = h, h - 19 = -d*s - 4*s. What is the remainder when h is divided by (0 + -6)*(2 + -5)?
17
Suppose 3 - 12 = -3*z. Let b be z/5*5/1. Suppose -b*x = y + 2, -4*x - 3*y + 29 = -8*y. What is the remainder when 2 is divided by x?
0
Suppose -36 = -16*f + 7*f. Suppose -51 = -f*t + 117. Calculate the remainder when 80 is divided by t.
38
Suppose 16*k - 147 - 365 = 0. What is the remainder when 543 is divided by k?
31
Suppose -4*z - s + 1 = -2, -z - 3*s - 2 = 0. Calculate the remainder when 293 is divided by z*(-3 + 0) + 52.
48
Let m be (12/16)/((-3)/(-24)). Suppose -k = m*k - 133. Calculate the remainder when 35 is divided by k.
16
Suppose -40 = -v + 5*w, 0 = 2*v + 2*w - w - 80. Suppose -7*s + 320 = v. Calculate the remainder when 77 is divided by s.
37
Let w = -3114 + 3170. What is the remainder when 146 is divided by w?
34
Let g(z) be the second derivative of z**5/20 + z**4/3 + z**2 - 3*z. What is the remainder when 78/4 + (6 - 39/6) is divided by g(-2)?
9
Suppose -4*s - 144 = -2*k - 572, -4*k + 509 = 5*s. Suppose 0*i + s = 7*i. Calculate the remainder when 88 is divided by i.
13
Suppose 5*p + 14 = -6. Let s be 6/p - (-5)/(-10). Let r = s + 29. Calculate the remainder when r is divided by 15.
12
Let v = 0 + 11. Suppose 3*d + s = v, -5*d + 3*s = 5*s - 18. Suppose 127*o - 108*o - 38 = 0. Calculate the remainder when d is divided by o.
0
Let p(