uppose 31 = y + l, -20*y + 2*l = -21*y + 34. What is the remainder when 209 is divided by y?
13
Let f(g) = 35*g - 1. Suppose 54*z = 61*z - 49. Calculate the remainder when f(1) is divided by z.
6
Suppose -z + 0*b - 2*b = -5, -3*b - 6 = 0. Suppose d - z = -1. Let j = 8 + d. What is the remainder when 29 is divided by j?
13
Suppose -47*g + 40 = -42*g. What is the remainder when 34*((-9)/6 - -2) is divided by g?
1
Let s(a) = -a**3 - 7*a**2 + 7. Calculate the remainder when s(-8) is divided by (60/(-8))/(1 + 9/(-6)).
11
Let a = 972 - 917. Calculate the remainder when 123 is divided by a.
13
Calculate the remainder when 4 - -40*(-1)/(-2) is divided by 9.
6
Let d(c) = c + 13. Let l be d(-12). What is the remainder when 42 is divided by 18/(-9) - (-17)/l?
12
Calculate the remainder when 1254/10 + (-47)/((-4230)/(-36)) is divided by 15.
5
Suppose -77*c + 281 = -4031. Calculate the remainder when 94 is divided by c.
38
Suppose 0 = 3*m - 7*m + 24. Suppose -4*k - r + 79 = -4*r, -2*k + 4*r = -52. Calculate the remainder when 8/m + 262/6 is divided by k.
13
Let p = -38 - -10. What is the remainder when 18 is divided by ((-4)/14)/(2/p)?
2
Calculate the remainder when 19 is divided by -12*-4*1/16.
1
Suppose 5*l = -2*j + 66, 11*j = 9*j + 4*l + 102. What is the remainder when 120 is divided by j?
34
Calculate the remainder when (-21 - -24)/(3/74) is divided by 10.
4
Let j(f) = f**3 + 38*f**2 + 75*f + 113. Let n(y) = -y**3 - 2. Let t be n(0). Let d = t - -6. Calculate the remainder when j(-36) is divided by d.
1
Suppose -25 = -4*y + 7. What is the remainder when y is divided by 2/((-12)/(-15)) - (-55)/22?
3
Let z(q) = q**2 + 33*q - 286. Calculate the remainder when z(44) is divided by 29.
28
Suppose 0*l - 3*l + 4*c = -43, 4*c - 61 = -5*l. Calculate the remainder when 557 is divided by l.
11
Suppose 6*g - 3*b - 43 = 5*g, 18 = g + 2*b. What is the remainder when g is divided by 15?
13
Suppose -10 = -2*v + a - 2*a, 2*v = -2*a + 12. Let m be 90/v*(-40)/(-60). Calculate the remainder when 63 is divided by (-34)/(-3) + m/(-45).
8
Let r(d) = 107*d - 3. Let t be r(1). Suppose -t = -7*z + 5*z. Calculate the remainder when 207 is divided by z.
51
Let w be (2 - 3)*0 - -13. Suppose -t + w = -2*j, -9 = -4*t - 3*j - 1. Suppose 379 + 215 = 33*c. What is the remainder when c is divided by t?
3
Let v(t) be the second derivative of 1/20*t**5 + 0 - 7/2*t**2 - 2*t + 4/3*t**3 - 7/12*t**4. What is the remainder when 17 is divided by v(6)?
2
Let h(t) = -5*t**2 - t + 10. Let q(f) = 11*f**2 + 2*f - 21. Let k(j) = 13*h(j) + 6*q(j). What is the remainder when 78 is divided by k(-3)?
14
Suppose -n - 5*v + 4 - 6 = 0, -2*n - 5*v = -1. Suppose 7*l = n*l - 124. Let h = l - -59. What is the remainder when h is divided by 10?
8
Let b(c) = 2*c**2 - 10*c - 5. What is the remainder when b(-7) is divided by 1?
0
Suppose 7*v + 686 - 1393 = 0. Calculate the remainder when v is divided by 15.
11
Let a(d) = 6*d**2 + 7*d + 3. Let p be a(-6). Suppose -5*f - t + p = 0, 141 = 4*f + 2*t - t. What is the remainder when f is divided by 13?
10
Suppose b - 3 = c, -3*b - 7 = -6*b + 4*c. Let r(g) = g**3 - 5*g**2 + 2*g + 1. Let k be r(b). Suppose -o = -k - 6. What is the remainder when 31 is divided by o?
14
Suppose -107 = 5*o - 2*h + 22, 4*h - 69 = 3*o. Let c = 64 + o. Suppose 6*x = -338 + 398. What is the remainder when c is divided by x?
7
Let c(r) = r**2 - 6*r + 6. Let x be c(6). What is the remainder when x/(-15) - -3*2168/60 is divided by 28?
24
Let g(v) = -12*v**3 - 2*v**2 - 12*v - 9. What is the remainder when 603 is divided by g(-2)?
88
Suppose -2*h = -2*p - 412, 3*h - 858 = p - 236. Calculate the remainder when h is divided by 18.
10
Suppose -20*a = -24*a - 588. Let g = 254 + a. Calculate the remainder when g is divided by 27.
26
Let v(f) = 3*f + 84. What is the remainder when 25 is divided by v(-20)?
1
Let r be -3 + 1 + 2 + 1. Let o(x) = 30*x**3 - 3*x**2 + x + 1. Calculate the remainder when 86 is divided by o(r).
28
Suppose -2*a = 2*f - 28, -2*f - 2*f = 3*a - 60. Suppose -167 = -f*d + 337. What is the remainder when 79 is divided by d?
23
Calculate the remainder when 64 is divided by (450/24)/3*(5 + -1).
14
Let b(v) = 17*v - 3. Let t(u) be the third derivative of -u**3/6 - 4*u**2. Let w(g) = b(g) - 4*t(g). Calculate the remainder when 51 is divided by w(1).
15
Suppose -n + 5*n - 34 = a, 4*n + 8 = -2*a. What is the remainder when 21 is divided by 14/a - (-24)/2?
10
Suppose 3 = 3*q - 3. Suppose -y - 34 = -5*y + 2*v, -3*y - q*v + 29 = 0. What is the remainder when y is divided by 99/36 - 2/(-8)?
0
What is the remainder when 71 is divided by 36*2*(-3)/(-9)?
23
Suppose -i + 42 = 5*s, 0 = 2*i + 4*s - 6*s - 84. Let m = -22 + i. Calculate the remainder when m is divided by 8.
4
Let o(g) = g. Let n(r) = 4*r + 1. Let t(d) = -4*n(d) + 18*o(d). Let j(q) = q**2 - 5*q + 12. Let i be j(4). What is the remainder when 46 is divided by t(i)?
10
Suppose d + 0 - 3 = 0. Suppose b + 2*s = 39, -2*b + d*s = -9 - 62. Suppose 0 = 6*r - r - 65. What is the remainder when b is divided by r?
11
Let l = -34 + 31. Let w(x) = -18*x + 8. What is the remainder when w(l) is divided by 16?
14
Let u = -7 + 12. Suppose 2 = 4*z - 2*m, 0 = -z + u*m - 3 - 1. What is the remainder when z is divided by 1?
0
Suppose -11*b + 14*b - 156 = 0. Let p = -37 + b. Calculate the remainder when (-8)/(-20) + 138/5 is divided by p.
13
Let t(x) = x**3 - 9*x**2 + 20*x - 6. Let d be t(6). Suppose g - 2*g + d = y, -y = 2. What is the remainder when 31 is divided by g?
7
Let u = 20 + -10. Let k = -27 + 7. Let s = 38 + k. What is the remainder when s is divided by u?
8
Let d(q) = q**2 + q - 5. Let m be d(-7). Let n = -28 + m. What is the remainder when 31 is divided by n?
4
Suppose 4*k = -g + 198, -2*k = -5*k - 4*g + 155. Let u = k + -39. Calculate the remainder when u is divided by 8.
2
Calculate the remainder when (-1035)/(-21) - 10/35 is divided by 27.
22
Let f(s) be the third derivative of -s**6/120 - 2*s**5/15 - s**4/3 - s**3 + 2*s**2. Let x = 143 - 142. What is the remainder when x is divided by f(-7)?
0
Suppose v - 1 = 4*j + 17, -4*v - 3*j = 4. Suppose -4*l + p = -83, p + v*p = -9. What is the remainder when l is divided by 11?
9
Suppose 4*g + 22 = 38. Suppose -34 = -2*y + g*c, -y + 5*y - 35 = -3*c. Calculate the remainder when 20 is divided by y.
9
Suppose -6*q + 26 + 4 = 0. Suppose 3*n + 2*c = -1, -n + q*c = 2*n - 13. What is the remainder when n is divided by 1?
0
Let d = 22 + -15. Let z be 106/(-2)*(2 - -5)/(-7). Let b = -42 + z. Calculate the remainder when b is divided by d.
4
Suppose 2*z - 16 = -4. Calculate the remainder when 70 is divided by z.
4
Suppose 0 = 13*j + 8*j - 7203. What is the remainder when j is divided by 69?
67
Suppose 268 - 3 = 5*o. What is the remainder when o is divided by 27?
26
Suppose 2*h - 12 = -3*i + 1, 5*i = 5. Let r = 355 - 176. Suppose h*z + 5*l = 255, r = 3*z - l + 26. What is the remainder when z is divided by 13?
12
Suppose 0 = -3*f + j + 169, 3*f + 10*j - 7*j = 153. What is the remainder when f is divided by 15?
10
Suppose 3*n = d + 379, 0*n - d = -n + 123. Calculate the remainder when n is divided by 13.
11
Suppose -h + 32 = 2*b - 1552, -3*h + 797 = b. What is the remainder when b is divided by 36?
35
Let s(p) = p**2 + 27*p - 29*p - 22 - 5. What is the remainder when 27 is divided by s(-5)?
3
Suppose 664 = -6*d + 1216. What is the remainder when 642 is divided by d?
90
Let h = 77 + 515. Calculate the remainder when h is divided by 17.
14
Let c = 335 - 157. Calculate the remainder when c is divided by 61.
56
Let h(v) = v**2 + 33*v + 105. Calculate the remainder when 194 is divided by h(-30).
14
Let s(r) = r. Let x be s(2). Suppose 7*h - 2*l = 2*h + 15, -x*h + 6 = 5*l. Suppose 0 = 2*v + h*v - 55. What is the remainder when 30 is divided by v?
8
Let f be 14/4*(-8)/2. What is the remainder when 1156/28 + 4/f is divided by 11?
8
Let r(u) = u**2 + 6*u - 5. Let a be r(-7). Let l = a + 0. Suppose 0 = -l*v + 80 - 24. Calculate the remainder when v is divided by 10.
8
Suppose 9*i - 14 + 5 = 0. Calculate the remainder when 39 is divided by (2 - i) + 20/1.
18
Let i = 10 + -13. Let y be (-2 - -1)/(i/6). Suppose y*v = -v + 213. What is the remainder when v is divided by 24?
23
Let j(g) = 157*g - 100. Let x(c) = 15*c**3 + c**2