remainder when r is divided by z.
9
Suppose -3*n - 30 = v - 2*v, -170 = -5*v - 5*n. What is the remainder when 112 is divided by v?
13
Suppose -z = -4*r + 117, 6*r + 3 = 7*r + 5*z. Calculate the remainder when 1287 is divided by r.
27
Let c(k) = k**3 + 13*k**2 - k + 12. Suppose -9*r - 78 = -3*r. What is the remainder when 72 is divided by c(r)?
22
Let x(w) = -4*w. Let h be (-1 - -2) + -3 - -1. Let r be x(h). Suppose r*g = 5*g - 2. Calculate the remainder when 4 is divided by g.
0
Let j be (-1 + (-3)/(-2))*50. Let l = 27 - j. Suppose -2 + 16 = l*h. Calculate the remainder when 11 is divided by h.
4
Suppose k + 11 - 69 = 0. Suppose 3*m - k = -4. Suppose -c - 55 = -i, 0 = i - 6*c + c - 67. Calculate the remainder when i is divided by m.
16
What is the remainder when (9 + -4 + 102 + -5)/1 is divided by 26?
24
Suppose 0 = 5*j - 319 - 101. Calculate the remainder when j is divided by 29.
26
Suppose -8*c + 355 = 59. What is the remainder when c is divided by 34?
3
Let k(p) = -p**3 + 7*p**2 - 8*p + 7. Suppose -10*f + 12*f + 2 = -5*u, -2*f - 2*u = -4. What is the remainder when k(5) is divided by f?
1
Suppose 290 = -16*f + 21*f. What is the remainder when f is divided by ((-30)/4)/(4/(-8))?
13
What is the remainder when 928 is divided by 106/2 + (-10)/(-20)*-8?
46
Let g(r) = 3*r**2 + 6*r + 7. Calculate the remainder when g(-4) is divided by 9.
4
Let b(t) = 5*t - 2. Let p be b(1). Suppose 0 = -6*m + p*m + 138. What is the remainder when m is divided by 12?
10
Suppose 4*n = -0*n + 16. Suppose 87 = n*i + 19. Suppose -23*y + 22*y + i = 0. Calculate the remainder when y is divided by 6.
5
Let d(j) = j**2 - 3*j + 3. What is the remainder when d(-3) is divided by 6/(-42) + 57/7?
5
Suppose -144*x = -125*x - 6479. What is the remainder when x is divided by 58?
51
Suppose 0 = -2*l - l + 234. Let h = -58 + 92. What is the remainder when h is divided by 1/(l/(-27) + 3)?
7
Let c(x) = -x**2 + 12*x - 5. Suppose 2*o - 12 = 3*g, -2*g + 4*o - 5 = 3. Let l be 1/(2/g) + 11. Calculate the remainder when 64 is divided by c(l).
20
Suppose -3*z - 5*v + 93 = -47, 20 = 5*v. What is the remainder when 318 is divided by z?
38
Let c(a) = -10*a**3 + 2*a**2 - 1. What is the remainder when -20*(-1)/(-5)*-6 + -4 is divided by c(-1)?
9
Calculate the remainder when 117 is divided by 0 - (-5)/5 - -39.
37
Let i = 268 + -239. What is the remainder when 140 is divided by i?
24
Let v(q) = q**2 + 2*q + 10. Let w be v(0). Suppose w - 34 = -4*n. Calculate the remainder when n is divided by (-2 - (0 - 8)) + -3.
0
Let d = -16 - -70. Suppose -d = -2*x - 16. Calculate the remainder when x is divided by 10.
9
Suppose 110 - 356 = -2*l + 4*a, a - 537 = -4*l. Calculate the remainder when (-3)/7 + 1653/l is divided by 7.
5
Let v(l) = -2*l + 13. Let f(k) = k - 13. Let u(w) = -6*f(w) - 5*v(w). Calculate the remainder when u(16) is divided by 26.
25
Let c(j) = -j**2 - 10*j + 3. Let l be c(-7). Let h = l - -2. What is the remainder when h is divided by 7?
5
Let y = 14 - 14. Suppose -4*n - 62 = -5*l, -5*l - 2*n = -y*n - 44. What is the remainder when ((-24)/l)/(14/(-35)) is divided by 3?
0
Suppose 3*s - 147 = 6. Calculate the remainder when 225 is divided by s.
21
Suppose -j = -4*i - 152, 3*j + 9*i = 8*i + 391. What is the remainder when j is divided by 47?
38
Let c(y) = y**2 + 47*y + 148. What is the remainder when 84 is divided by c(-45)?
26
Let n(p) = -4*p + 110. What is the remainder when 57 is divided by n(20)?
27
Let l be (1080/48)/((-7)/(-4) + -1). Let s = l + -12. What is the remainder when 68 is divided by s?
14
Let i be -2 - (0 - 2 - 1). What is the remainder when 34 is divided by (300/125)/((-2)/((-10)/i))?
10
What is the remainder when -6 + 52230/150 + 1/(-5) is divided by 15?
12
Let a(c) = c**3 + 11*c**2 + 14*c - 7. Let f be a(-10). Let n = f - -52. What is the remainder when 7 is divided by n?
2
Let f(l) = 20*l**3 - 10*l**2 + 23*l + 5. What is the remainder when f(4) is divided by 87?
86
Let x(i) = -i**3 - 2*i**2 + 3*i + 1. Let j be x(2). Let r(q) = -8*q - 47. What is the remainder when 71 is divided by r(j)?
21
Suppose 5 = -l + 5*b, 5*l - 2 + 1 = -b. Suppose t - 15 - 5 = -4*s, l = -3*s - 5*t + 32. What is the remainder when 5 is divided by s?
1
Suppose 67*g + 168 = 75*g. What is the remainder when 98 is divided by g?
14
Suppose 2*m + 7*y = 11*y + 28, 5*y = m - 8. What is the remainder when 82 is divided by m?
10
Let r(o) = -o**3 + 4*o**2 - o + 1. Let s be r(2). Suppose s + 10 = j. Calculate the remainder when j is divided by 6.
5
Suppose 0 = 2*h + 3*h - 10. Suppose -u - 3*o + 1 = 5, -5*u + 70 = -3*o. Suppose 40 = -3*q + u*q. What is the remainder when q is divided by h?
1
Let q(z) be the third derivative of z**5/30 + z**4/4 + 7*z**3/6 + 39*z**2. Calculate the remainder when q(-9) is divided by 29.
28
Let h be -2*1 + (-24)/(-8). What is the remainder when 39 is divided by -1*(h - (7 + 1))?
4
Let y = -158 + 263. Let t be (-2 - (-30)/4)*-2. Let s = 38 + t. What is the remainder when y is divided by s?
24
Suppose -4*i = 3*u - u - 106, u - 53 = i. What is the remainder when 150 is divided by u?
44
Let f be 35/(-15) - (-2)/6. Calculate the remainder when 3/f*(0 - 10) is divided by 10.
5
Suppose w + 0*w - 10 = 0. Let s be (-3)/6 - (-90)/4. Suppose -4*p = -94 - s. What is the remainder when p is divided by w?
9
What is the remainder when 98 is divided by (40/(-7))/(-4)*(13 + 8)?
8
Let o be 1*(3 - 0*(-5 + 4)). Suppose -5*u = -2*f - 115, -u = o*u + 5*f - 125. What is the remainder when u is divided by 13?
12
Let r(o) = 4*o**2 - 3*o - 50. Calculate the remainder when 129 is divided by r(-5).
64
Suppose 0 = 45*i - 37*i - 32. What is the remainder when 17 is divided by i?
1
Suppose 0 = -5*a - 5*r + 770, 3*a + 604 = 7*a - 2*r. What is the remainder when a is divided by 62?
28
Let t = -9 - -7. What is the remainder when (-4 - -1) + 2 + (t - -29) is divided by 10?
6
Let f(a) = -a**2 - 10*a - 7. Suppose 2*i - u - 5 = -6*u, -3*i + 19 = -4*u. Suppose 6 + 74 = i*s. Calculate the remainder when s is divided by f(-8).
7
Suppose 4*t - i - 76 = 0, 5*t - 6*i + 3*i = 95. What is the remainder when 719 is divided by t?
16
Let n be (287/42 - (-2)/12) + -3. Suppose n*t + 87 = 2*c + 249, -10 = -2*c. What is the remainder when t is divided by 12?
7
Suppose 26*s - 27*s + 1 = 0. What is the remainder when 353 is divided by (62 - (-1 - s)) + -5?
58
Suppose 918 = 23*v + 4*v. Calculate the remainder when 159 is divided by v.
23
Suppose 0 = 6*c - 4*c - i - 5, -i + 7 = 4*c. Suppose 105 = 5*z - 4*m, -2*z - 5*m + c*m = -42. Let x = -846 + 852. What is the remainder when z is divided by x?
3
Let w(u) be the second derivative of u**3/3 + 53*u**2/2 - 31*u. Calculate the remainder when 33 is divided by w(-24).
3
Let t = -3977 - -4020. Suppose 3*s = -j + 32, -4*s + 40 - 3 = j. Suppose j = v + 2. What is the remainder when t is divided by v?
13
Let u be (-2 - -4)/(49/47 - 1). Suppose 3*r - u = h, h + 4 + 9 = r. Calculate the remainder when r is divided by 11.
6
Suppose -4*w + 8 = w - 2*n, 4*n + 16 = 0. Suppose -3*i = -5*m - 90, i + 5*m - 30 = -w*m. Suppose 6*p - i = p. Calculate the remainder when p is divided by 3.
0
Let i = 37 - 27. Suppose 2*r = 3*r + u - 8, -5*r + u = -i. Suppose 0 = 5*t + 4*o - 128, 5*t - 109 = r*o + 40. What is the remainder when 82 is divided by t?
26
What is the remainder when (2 - 1)/(37/1036) is divided by 6/15 + 69/15?
3
Let h(f) = -8*f**2 - 50*f + 7. Suppose -2*r - 2*p = 18 - 54, 2*r - 5*p = 71. Calculate the remainder when h(-5) is divided by r.
11
Let z = -120 + 135. Suppose -2*f + 4 = 2*r, 5*f - 3*r = r - 8. Suppose -3*m - 16 + 193 = f. Calculate the remainder when m is divided by z.
14
Suppose -4*j + 6*j - 2*v - 66 = 0, 0 = -3*j - 4*v + 134. What is the remainder when j is divided by 37?
1
Let r be (-56)/4 + -2 - -2. Let t = r + 19. Suppose 0 = 5*l - t*d - 345, 5*l + 120 = 3*d + 461. What is the remainder when l is divided by 23?
21
Let n = 39 + -35. Suppose -5*y + 23 = 2*m - 50, 2*m = 4*y - 44. Calculate the remainder when y is divided by n.
1
Let w(n) = 27*n**2 + 36*n + 37. What is the remainder when 84 is divided by w(-1)?
0
Suppose -4*w - 16*w + 780 = 0. What is the remainder when w is divided by 23?
16
Suppose 435 = 16*u - 45. What is the remainder when 538 is divided by u?
28
Let l(t) = 3*t. Let