20 = -b. Calculate the remainder when 163 is divided by b.
2
Suppose 7*d = 2*d. Suppose d = -6*v + 4*v - 8. Calculate the remainder when (v + 62)*(0 - -1) is divided by 30.
28
Suppose -2*n + 153 = 5*x + 25, x + 4 = 0. Let z = -62 + n. What is the remainder when z is divided by 7?
5
Let o be 6/(-3)*(-3)/6. Let d(t) = -t**3 - o - 15*t**2 - t + 22*t**2 + 0*t. What is the remainder when d(6) is divided by 15?
14
Suppose -t + 17 = -4. Let m = 46 - t. Calculate the remainder when m is divided by 14.
11
Suppose -2*d = -1 - 5. Suppose l - j - 4 = 17, 4*l - 105 = -d*j. What is the remainder when l is divided by 7?
3
Let r = 63 + 161. What is the remainder when r is divided by 75?
74
Calculate the remainder when 78 is divided by (8 - 5) + (-4 - -25).
6
Suppose -36*y + 28*y = -208. Calculate the remainder when 76 is divided by y.
24
Let r(n) = -63*n**3 + 2*n - 3. What is the remainder when r(-2) is divided by 25?
22
Calculate the remainder when 417 is divided by 56/(-84)*((-415)/2 - -2).
6
Let d be 1/(-1)*(-2 + -54). Let t = d + -34. Let l(f) = 115*f - 419. What is the remainder when l(4) is divided by t?
19
Suppose -4*g = 5*f - 27, 5*g - 15 = -4*f + 12. Calculate the remainder when 7 is divided by 1 - f*(-3 - -2).
3
Suppose -260 - 415 = -5*k. Suppose k = -3*g + 4*g. Calculate the remainder when g is divided by 17.
16
Let h be -13 - (7 + -3) - -3. Let m = h - -36. What is the remainder when 64 is divided by m?
20
Suppose 3*v + 50 = p, -3*p - 7*v + 150 = -2*v. Calculate the remainder when 122 is divided by p.
22
Let y = 42 - 3. Let x be 4/(-10) + 134/10. Suppose 2*n + x + 9 = f, -f + 3*n + 26 = 0. What is the remainder when y is divided by f?
11
Let o(g) = g**2 + g - 4. Let x be o(2). Suppose 3*f + 8 = x. Calculate the remainder when 384/28 - f/7 is divided by 3.
2
Suppose -4*h = 3*s - 56, 8*h + 46 = 3*s + 7*h. What is the remainder when 140 is divided by s?
12
Suppose -8*d + 5*d = -51. Suppose 3*c = 4*c - 5. Suppose -c*o + d + 13 = 0. What is the remainder when 17 is divided by o?
5
Let u(w) = -w**3 - 6*w**2 + 4*w + 4. Let v(d) = d**3 + d**2 - 2*d. Let p be v(-2). Let q = p - -9. What is the remainder when u(-7) is divided by q?
7
Suppose -3*x - 4*s = -81, 0 = 4*s - 2*s - 6. Suppose -3*c = 5*d + 75, 60 = 2*d - 6*d + c. Let a = x + d. Calculate the remainder when 12 is divided by a.
4
Suppose -3*c = -14*c + 1859. Calculate the remainder when c is divided by 44.
37
Suppose 2*f + 3*f - 675 = 0. Suppose 0 - f = -5*a. Calculate the remainder when 78 is divided by a.
24
Let w = 15 - -28. What is the remainder when w is divided by 3/9*3*15?
13
Let p(x) = x**3 - 8*x**2 + x - 8. Let a be p(8). Let k be 46/6*9/(1 + 2). Suppose -k = -n - a*n. What is the remainder when 43 is divided by n?
20
Suppose -3*s = -2*c + 5*c - 51, 0 = s - 5. What is the remainder when (-3)/(-2)*(4 - (-248)/c) is divided by 13?
11
Let d = -59 - -58. What is the remainder when 24 is divided by ((-105)/10)/3*(-3 + d)?
10
Let a(d) = 70*d - 9. What is the remainder when a(6) is divided by 23?
20
Let q(u) = 4*u - 17. Suppose 0 = -o - 4*x + 33, -2*x + 0 + 119 = 3*o. Calculate the remainder when o is divided by q(6).
6
Calculate the remainder when ((-18)/15)/(26/(-325)) is divided by (7 - 4/(-2)) + 0.
6
Suppose -c - 11 = 7. Let y = c + 32. Calculate the remainder when 40 is divided by y.
12
Suppose 26 = -5*l - 44. Let w = l + 33. What is the remainder when w is divided by 12?
7
Suppose -416 = 7*m + 270. Let b = 137 + m. Calculate the remainder when b is divided by 8.
7
Suppose 0 = 99*p - 94*p - 100. Let i(k) = 6*k**2 - k. Let o be i(1). Suppose -270 = -o*m + 120. What is the remainder when m is divided by p?
18
Let m(b) = -b**3 + 23*b**2 + 3*b - 34. Calculate the remainder when 226 is divided by m(23).
16
Let r(t) = -4*t - 71. Let z = -28 + 46. Calculate the remainder when z is divided by r(-19).
3
Suppose -2*z - a + 236 = a, 0 = 4*z + 3*a - 474. Calculate the remainder when ((-3)/4)/((-606)/z - -5) is divided by ((-8)/(-10))/(1/5).
3
Let y = -9 - -12. Suppose -4*o = -3*o - y. Suppose -c + 11 + 7 = 3*p, -21 = -2*c - o*p. Calculate the remainder when c is divided by 3.
0
Suppose -5*v = -15 - 75. Suppose -9*u - 48 = -21*u. Calculate the remainder when v is divided by u.
2
Let d be 142/(-2) - (-4)/2. Let u = -24 - d. Calculate the remainder when u is divided by 16.
13
Let v be (-4)/(-14) + (-423)/(-63). Suppose -2*x + 1026 = v*x. Calculate the remainder when x is divided by 29.
27
Suppose 2*w - 97 = -h, 2*w = 3*h + 6*w - 287. Let r = -52 + h. Suppose 5*n = i + 112, 3*n = -i + 69 - 5. What is the remainder when r is divided by n?
19
Let b be 5/3 + 4/12. Suppose 5*z - 87 = -b*y, 4*z - 4*y + 33 = 125. What is the remainder when 72 is divided by z?
15
Let m(q) = -2*q + 7. What is the remainder when 51 is divided by m(-10)?
24
Suppose -6*y + 45 = -11*y. Let c(x) = 1. Let j(q) = -7*q - 14. Let w(t) = 6*c(t) + j(t). Calculate the remainder when w(y) is divided by 14.
13
Let t be (-2)/4 - 722/(-4). Suppose -t + 16 = -2*r. Let c = -507 + 535. What is the remainder when r is divided by c?
26
Let x be ((-4)/(-2))/(8/(-108)). Let j = x - -30. Let d = 15 - j. What is the remainder when 46 is divided by d?
10
Suppose -47 = -3*v + 19. Suppose 5*b - 39 = -5*t - 9, -3*b + 20 = 4*t. What is the remainder when 56 is divided by 666/33 - b/v?
16
Let k(y) = 6*y + 28. Let q be k(7). Calculate the remainder when 185 is divided by -2 + 12/7 - (-3310)/q.
44
Suppose 0 = 24*d - 35*d + 99. What is the remainder when 160 is divided by d?
7
Suppose 2*k = -4*a + 16, -5*a + 19 = -k + 3*k. Suppose -k*w = -w - 17. Calculate the remainder when w is divided by 9.
8
Suppose 0 = -27*b + 31*b - 92. Let z = b - 19. Suppose d + 2*g = -2*g + 19, 0 = z*d - 3*g - 19. Calculate the remainder when 17 is divided by d.
3
Suppose -5*d + 374 = -d - a, -269 = -3*d - 5*a. Calculate the remainder when 8/10 - (-8)/(120/d) is divided by 6.
1
Let b be (6/(-4))/(3/52). Suppose 2*r - 46 = 26. Let a = r + b. What is the remainder when 27 is divided by a?
7
Let d be 0 + 4/14 + 8/(-28). Suppose d*j = -i + 3*j + 86, 5*i + j = 446. What is the remainder when i is divided by 23?
20
Suppose 5*f - 95 = -5*d, f = -d + 6*f + 49. Let j(k) = -2*k**3 + 4*k + 4. Let l = 35 - 38. Calculate the remainder when j(l) is divided by d.
22
Suppose v + 2 = 5*s - 3, -3*s + 31 = 5*v. Let p(c) = -22*c**2 + 45*c**2 - c**3 + 3*c - c - 18*c**2 + 1. What is the remainder when p(v) is divided by 3?
2
Let g(z) = -2*z**2 + 18*z - 16. Calculate the remainder when 34 is divided by g(7).
10
Suppose -3 = -4*b + 1. Let s = 783 - 737. Calculate the remainder when s is divided by 13 + b + (6 - 4).
14
Let g = -404 - -670. What is the remainder when g is divided by 10?
6
Calculate the remainder when -6 + 59 + -7 - (7 + -1) is divided by 40.
0
Let n = 15 - 21. Let v(r) be the third derivative of r**5/60 + r**4/8 - 5*r**3/6 + r**2. What is the remainder when 37 is divided by v(n)?
11
Let t(v) = v**2 + 17*v + 111. What is the remainder when 364 is divided by t(-7)?
36
Suppose -2*u + 117 = 5*g, 12 = -5*u - 8. Let z(v) = v**3 - 8*v**2 + 9*v + 8. Let s be z(7). Let t = g - s. Calculate the remainder when 6 is divided by t.
0
What is the remainder when 1*12/42 - 1300/(-7) is divided by 24?
18
Suppose -27*o = -578 - 286. What is the remainder when 125 is divided by o?
29
Let b be (-2)/(16/(-60))*18. Suppose 0 = -0*g + 5*g - b. Let f = -31 + 45. Calculate the remainder when g is divided by f.
13
Suppose -3*k = 6, 5*h + k = 5*k + 23. Let x be (0 - 6)*h/(-9). Suppose -a + x*n + 12 = a, 0 = 4*n - 8. Calculate the remainder when 39 is divided by a.
7
Suppose 20*c = 12*c + 1136. What is the remainder when c is divided by 49?
44
Let i(k) = 2*k + 2. Let h be i(-1). Suppose -4*f + 5*j = -167, 3*f - 129 = 5*j - h*j. Calculate the remainder when f is divided by 10.
8
Suppose 78 = -3*d + 192. Let j = -843 + 849. What is the remainder when d is divided by j?
2
Suppose w - 15 = r, -24*w = -26*w - 4*r + 12. What is the remainder when 12 is divided by w?
0
Let l be 75/20 + (-1)/(-4). Suppose 41 = l*w - 3. Calculate the remainder when 21 is divided by w.
10
Suppose 72*w - 51*w - 525 = 0. What is the remainder when 90 is divided by w?
15
Let w = -52 + 84. Suppose 0 = -4*j + o - 133, -5*j + 3*o - 25 = -4*j. Calculate the