
Suppose 2*h - 3*l + 1 - 18 = 0, -l = -h + 7. What is the remainder when -1 + 60/(-10) + 15 is divided by h?
0
Suppose 26*a + 200 = 36*a. Calculate the remainder when 97 is divided by a.
17
Let u(f) = -f + 5. Let g be u(3). Suppose -2*o - g*o + 64 = 0. What is the remainder when 1186/10 - o/(-40) is divided by 30?
29
Let w = -574 - -594. Calculate the remainder when 337 is divided by w.
17
Let g = -25 + 36. Let c(k) = k**2 + 7*k - 15. Let s be c(-9). Suppose s*h - 12 = -h. Calculate the remainder when g is divided by h.
2
Suppose p + 5*v = 135, -100 = 5*p - 4*v - 659. What is the remainder when p is divided by 29?
28
Suppose 0 = -3*k + 4*k + 4*u + 18, -4*k + 13 = -u. Suppose -5*c - 4*q = -0*q - 20, 2*q + 8 = k*c. Calculate the remainder when 18 is divided by c.
2
Let w(r) = 2*r**3 + 27*r**2 + 57*r + 56. Calculate the remainder when w(-11) is divided by 9*1*(-2)/(-2).
7
Let x(r) = 2*r**3 + r**2 - 5*r + 6. Let y(o) = -3*o**3 + 5*o - 5. Let v(g) = -4*x(g) - 3*y(g). Calculate the remainder when 54 is divided by v(4).
10
Suppose -5*l - 65 + 2 = -2*h, -h - 2*l = -9. Let a(z) = 7*z**2 - 4*z. Calculate the remainder when a(3) is divided by h.
13
Let y(b) = -b**3 - 17*b**2 + b + 19. Let q be (3 + -1)*-2 - 13. Suppose n + 2*p = 10, -10 = -n + 2*n - 3*p. What is the remainder when n is divided by y(q)?
0
Let f(t) = t**2 - 1. Let l be (-2)/(-10) + (-216)/(-20). Let r = l - 15. Calculate the remainder when 43 is divided by f(r).
13
Let w(m) = m + 5. Let z be w(-1). Suppose 228 = z*l - 0*l + 3*v, 5*l - 296 = -v. What is the remainder when l is divided by 22?
16
Calculate the remainder when 793 is divided by -7 + (-276)/(-42) + 192/7.
10
Calculate the remainder when ((-1212)/(-505))/(2/80 + 0) is divided by 34.
28
Let f be 2939/17 + 1/68*8. Let t = f - 143. What is the remainder when 144 is divided by t?
24
Let k(b) = b**3 + 2*b**2 - 2*b + 2. Suppose 2*v - 7*v + 15 = 0. Suppose -y + 0 + 14 = 0. Calculate the remainder when k(v) is divided by y.
13
Calculate the remainder when (20/3)/((-62)/(-15) - 4) is divided by 16.
2
Suppose 3*g + 204 = 7*g. What is the remainder when g is divided by ((-84)/(-15))/(14/35)?
9
Suppose -2*w - 176 = 3*z, 2*z + 110 = -w - 4*w. Let y = -14 - -101. Let s = y + z. What is the remainder when 80 is divided by s?
26
Let h(r) = 8 + 3*r + 2 - 2*r + 0. What is the remainder when 57 is divided by h(6)?
9
Suppose -2*y + 377 + 345 = -2*p, -1454 = -4*y + 2*p. Calculate the remainder when y is divided by 30.
6
Suppose -2*z + 310 = 184. Calculate the remainder when z is divided by 25.
13
Let y = 14 + 27. Suppose -5*i - y = -4*t, 4*i = i - 15. Let h = 529 + -527. What is the remainder when t is divided by h?
0
Suppose -2900 = 8*p - 28*p. Suppose -26 = -y + q, 2*y + 4*q + 7 - 29 = 0. What is the remainder when p is divided by y?
19
Let v be 494/(-19)*2/(-2). Let h = 28 - v. What is the remainder when (-100)/(-14) - h/14 is divided by 3?
1
Let k = -541 + 547. Calculate the remainder when 98 is divided by k.
2
Suppose -16*b = -21*b + 190. What is the remainder when b is divided by 13?
12
Let m = -195 + 202. Calculate the remainder when (-26)/(-3)*3/1 is divided by m.
5
Let z = 7201 - 7183. What is the remainder when 2 + -2 + (-70)/(-1) is divided by z?
16
Suppose n = -3*l + 113, -2*l = -l - 2*n - 26. Let c be (-1265)/(-33) + (-2)/6. Suppose -w = w - c. Calculate the remainder when l is divided by w.
17
Suppose 3 = z + 2, -2*z + 84 = 2*q. Let p(l) = -l + 2. Calculate the remainder when q is divided by p(-7).
5
Suppose -d + 5 = 3. Suppose -d*s = z + s - 11, s = -5*z + 13. Calculate the remainder when z is divided by ((-38)/95)/(2/(-10)).
0
Let u(i) = -i**3 + 5*i**2 - i. Suppose 27 = 2*j - 45*x + 50*x, j - 27 = 2*x. Calculate the remainder when j is divided by u(4).
9
Let t = 15 - 17. Let n = 12 - t. Calculate the remainder when (3 - (-77)/(-21)) + (-167)/(-3) is divided by n.
13
Let b(u) = -3*u**3 + 30*u**2 + 3*u - 7. Calculate the remainder when b(10) is divided by 8.
7
Suppose 0 = -20*j + 321 + 539. Calculate the remainder when 245 is divided by j.
30
Suppose 0 = 3*b + 2*b + 80. Let a = 25 + b. Calculate the remainder when 17 is divided by a.
8
Let r = 1 - -12. Let q = r - 5. Calculate the remainder when 36 is divided by q.
4
Suppose 13 = -z + 53. What is the remainder when 356 is divided by z?
36
Let f = 71 + -29. Let c(q) = -2*q**3 - 4*q + 1. What is the remainder when f is divided by c(-2)?
17
What is the remainder when 111*12/4 - 5 is divided by 7?
6
Let p be -1 + (-12)/(-4) + 7. Suppose -3 = -s + p. Calculate the remainder when (8/(-1) - 2)/(-2)*14 is divided by s.
10
Suppose 0 = -3*c + 6*c + 72. Let i = -16 - c. What is the remainder when (-30)/75 - (546/(-15) + -2) is divided by i?
6
Let n(s) be the second derivative of s**5/4 - s**4/6 - s**3/3 + 10*s. What is the remainder when n(2) is divided by 2*2/(2/5)?
8
Suppose 0 = -15*f + 5*f. Suppose f = -11*u - 21 + 197. What is the remainder when 76 is divided by u?
12
Let o(q) = 2*q**3 - 2*q**2 - 2*q - 3. What is the remainder when o(3) is divided by 24/84 - 40/(-7)?
3
Let y(p) = 5*p**2 - 2*p + 4. What is the remainder when y(-3) is divided by 1*(-2 - -1) + 13?
7
Suppose 0 = -27*i + 288 - 45. What is the remainder when 33 is divided by i?
6
Let c(g) = 5*g**3 + 4*g**2 - 3*g. Let u be c(2). Let o = u - 22. What is the remainder when o is divided by 8?
4
Let b = -2 - -6. Suppose 4*a - 3*a + 3 = 0, 5*r = b*a + 52. Let m = 31 - 9. Calculate the remainder when m is divided by r.
6
Let g = -101 - -128. What is the remainder when 104 is divided by g?
23
Suppose 2*z = -12 + 42. Suppose 3*u = 4*n + u - 22, 0 = n - 3*u - 13. Suppose -15 = 3*h - 0*h, -4*s + n*h = -44. Calculate the remainder when z is divided by s.
3
Let g be -2 + -2 + 8 - 2. Suppose -g*y = 4*y - 72. What is the remainder when 56 is divided by y?
8
Let j(g) = -5*g - 5. Let n(f) = -f**3 - 14*f**2 - 12*f + 8. Let a be n(-13). Let p be j(a). Let m = -14 + p. What is the remainder when m is divided by 4?
2
Suppose 49*c - 11*c = 3572. What is the remainder when 374 is divided by c?
92
Suppose -y + 3*y = 42. Suppose 39 + y = 3*m. Let q = -1093 + 1172. What is the remainder when q is divided by m?
19
Suppose -7*n + n = -138. Suppose -m = -0*m + 3, -b = m - n. What is the remainder when 102 is divided by b?
24
Let y(k) = k**2 + 10*k - 8. Let i(c) = -c**3 + 4*c**2 - 5*c + 9. Let a be i(4). Calculate the remainder when 13 is divided by y(a).
1
Suppose 2*f = 68 + 136. Suppose -5*d = -c - f - 15, -4*d = -2*c - 90. What is the remainder when 93 is divided by d?
21
Let r(h) = -15*h**2 + 99*h - 34. Suppose -4*t + 354 = 3*s, -719 + 129 = -5*s - 3*t. Calculate the remainder when s is divided by r(6).
18
Let b(u) = -u + 31. Let t(d) = 19*d - 3. Let s be t(1). What is the remainder when b(s) is divided by 9?
6
Calculate the remainder when 1074/(-24)*(-3 + -1) is divided by 10.
9
Suppose -650 = -454*w + 449*w. Calculate the remainder when 138 is divided by w.
8
Let r(u) = 3*u**2 - 33*u + 12. What is the remainder when 474 is divided by r(11)?
6
Let x(k) = k**3 - 10*k**2 - 8*k + 10. Suppose 0 = -5*j + 2*j + 33. What is the remainder when x(j) is divided by -6 - -6 - (-15)/1?
13
Suppose u - 92 = 3*y + 132, -y = -u + 234. What is the remainder when u is divided by 15?
14
Let d = -141 - -353. Calculate the remainder when d is divided by 31.
26
Suppose -2*b - 3*s + 99 = -151, 0 = -3*b + 2*s + 362. What is the remainder when b is divided by 16?
10
Let i = 1111 + -1060. Calculate the remainder when 240 is divided by i.
36
Let i(q) be the first derivative of -q**2/2 + 12*q + 25. Calculate the remainder when 19 is divided by i(5).
5
Suppose -200 = 104*f - 108*f. Calculate the remainder when f is divided by 34.
16
Let l(b) = -1 + 15 - 4*b - 11. Calculate the remainder when 25 is divided by l(-3).
10
Calculate the remainder when -2 + (-7515)/(-63) + 4/(-14) is divided by 11.
7
Suppose 0*m - 341 = -5*m + 4*n, 5*n = 2*m - 133. Let u = m - 100. Let i = u + 53. What is the remainder when i is divided by 12?
10
Let o(f) be the second derivative of f**3/3 - 23*f**2/2 + 35*f. What is the remainder when 27 is divided by o(13)?
0
Suppose 334 = 4*w + 130. Suppose -4*q = -w + 11. Let h = q - -6. Calculate the remainder when h is divided by 6.
4
Calculate the remainder when 2