- (-1 - -2) is divided by a?
3
Suppose -128 - 2554 = -18*u. Suppose u + 325 = 6*z. Suppose s + 10 - 32 = 0. What is the remainder when z is divided by s?
13
Let r(i) = 6 + i + 4 - 2*i + 0*i. Let z be r(15). Let q(g) = g**2 - g - 6. What is the remainder when 69 is divided by q(z)?
21
Calculate the remainder when (-2*(-3)/6)/(231/77154) is divided by 163.
8
Let b be 92 - 0 - (1 + -1). Suppose b*p = 81*p + 44. Calculate the remainder when 27 is divided by p.
3
Suppose -205 = -3*h - 112. Suppose -400 = -h*s + 6*s. Calculate the remainder when 156 is divided by s.
12
Let s be (-790)/(-14) + (360/(-70))/12. What is the remainder when (163/7)/(8/s) is divided by 20?
3
Suppose 0 = -39*h + 78136 - 21703. What is the remainder when h is divided by 8?
7
Let a be (16/10)/((-8)/(-20)). Suppose t + 36 = a*t. Let r = 74 + -58. Calculate the remainder when r is divided by t.
4
Suppose -31*p - 47*p = -3813 - 3519. Calculate the remainder when 382 is divided by p.
6
Suppose -134 = -l - 2*s + 208, -3*l + 4*s = -1056. Let k = 65 - 21. Calculate the remainder when l is divided by k.
40
Let p(s) = -6*s**2 - 4*s**2 + 8*s**2 + s**3 + 2*s + 4 + 3 + s**2. Calculate the remainder when p(3) is divided by 17.
14
Suppose 4503 - 1235 = 4*p. Let w = p - 577. Suppose 0 = -0*h + 5*h - w. Calculate the remainder when h is divided by 10.
8
Suppose -25 = 2*s - 31. Let d be 5 + (-6)/s + -1. Calculate the remainder when (1 + 37)/(d/7) is divided by 27.
25
Suppose 1445 + 3960 = 23*y. What is the remainder when y is divided by 15?
10
Suppose -5*x - 221 + 435 = 3*n, -3*x = -5*n + 266. Calculate the remainder when 91 is divided by n.
33
Calculate the remainder when 10/(-55) - 3/((-66)/730) is divided by 4.
1
Let w = -413 - -1873. Suppose 15*y = 5*y + w. Suppose 0 = 2*h - 2*s - y, -s - s + 88 = h. What is the remainder when h is divided by 9?
6
Let r(w) = w**3 + 37*w**2 - 37*w + 39. Let s be r(-38). What is the remainder when s/(((-45)/240)/(303/(-4))) is divided by 68?
64
Suppose -u = y - 12, -3*u - 2*u = -3*y + 4. Let a = y + -26. What is the remainder when 94 is divided by ((-104)/(-39))/((-2)/a)?
22
Let f = -164 - -172. Suppose 18 = f*o - 2*o. Calculate the remainder when 1/(1 + 60/(-65)) is divided by o.
1
Let s = -2616 - -2621. Let m(l) = -l**3 + 4*l**2 + 8*l - 6. Calculate the remainder when m(5) is divided by s.
4
Suppose -5*v - 2*q = -697, -127*v - 4*q = -129*v + 298. Calculate the remainder when 433 is divided by v.
10
Let m = -26 + 61. Suppose 5*f - 57 + 4 = -t, f = t - m. Suppose 0 = -4*z + 3*r + 587, -137 = -3*z + 2*z + 4*r. What is the remainder when z is divided by t?
35
Suppose 11*s - 607 = 97. What is the remainder when 1081 is divided by s?
57
Let f(q) = -3*q**3 + 261*q**2 + 257*q + 635. Let n = 1836 + -1058. Calculate the remainder when n is divided by f(88).
18
Suppose 32*x - 184 = 3720. What is the remainder when x is divided by 63?
59
Let g(h) = 5*h**2 + 8*h. Suppose -28 = 3*x - 10. What is the remainder when g(x) is divided by 3515/133 - (-12)/21?
24
Suppose -57 = -5*b + 118. Let x = -565 + -135. Let j = -689 - x. Calculate the remainder when b is divided by j.
2
Suppose x = 5*i - 542, 0 = -429*x + 432*x + 6. Calculate the remainder when 317 is divided by i.
101
Let o = -38 + 179. Suppose -327 = -c - 607 + 331. What is the remainder when o is divided by c?
39
What is the remainder when (49/2)/((-95)/(-570)) is divided by 39?
30
Suppose 4*j - 8*j - 16 = 0, -3*j = -2*x + 82. Let l = -25900 + 26030. Calculate the remainder when l is divided by x.
25
Suppose -10*v + 188 + 504 = 112. What is the remainder when 224 is divided by v?
50
Suppose 39*k = v + 44*k - 214, -2*k + 468 = 2*v. Let w(b) = -b**2 - 10*b + 9. Calculate the remainder when v is divided by w(-7).
29
Let x(r) = -11*r + 60. Let z be x(5). Suppose 4*o = -5*t + 1195 - 334, -t - z*o = -168. Calculate the remainder when t is divided by 25.
23
Suppose -5*p = -10, 382*p - 384*p - 14 = -a. Calculate the remainder when 574 is divided by a.
16
Let o(f) = 54*f**2 - 10 + 44*f**2 + f**3 + 4*f - 91*f**2. What is the remainder when 110 is divided by o(-6)?
0
Let b = 23 - -49. Let c = b + -12. Let y = 83 - c. Calculate the remainder when 66 is divided by y.
20
Suppose -6 = -h + p, -7*h + 3*p = -2*h - 32. Suppose -j + 7 = h. Suppose -3*t - 2*i = t - 4, 4*t + 3*i - 2 = j. Calculate the remainder when t is divided by 1.
0
Suppose s + 6*z - 3*z = 12, -4*s = -z - 9. Suppose -s*v + 53 + 127 = 0. Suppose 10*q - 150 = 160. What is the remainder when v is divided by q?
29
Let t(a) = 73*a**3 - 13*a**2 + 43*a - 30. What is the remainder when 332 is divided by t(1)?
40
Let b(y) = 2*y**2 + 20*y + 37. Let w be b(-8). Suppose 0 = -5*x + z + 79, 10*x - 5*x = -w*z + 85. What is the remainder when 40 is divided by x?
8
Let i = -27508 + 27534. What is the remainder when 21135 is divided by i?
23
Let v(j) = -j**3 + 1. Let n be v(-2). Suppose -f - 3 = -n. What is the remainder when 6 is divided by (-3)/(f/2) + 4?
0
Let p(i) = -22*i - 1. Suppose n = 3*z + 26, n = -20*z + 24*z + 31. Calculate the remainder when p(-3) is divided by n.
10
Let a = 13 + -8. Let o(s) be the second derivative of -s**5/10 + 5*s**4/6 + 7*s**3/6 - 2*s**2 + 14*s + 5. Calculate the remainder when o(a) is divided by 17.
14
Suppose -74 + 18 = -14*u. Suppose -4*b - 11*t + 10*t = -663, b - u*t - 170 = 0. What is the remainder when b is divided by 19?
14
Let j(i) = 6*i - 1827*i**2 - 62*i + 1830*i**2 + 38. Calculate the remainder when j(22) is divided by 65.
63
Suppose 0 = -2*q - 37 + 45. Suppose q*h - 5*r - 459 = 88, -r - 136 = -h. Calculate the remainder when h is divided by 23.
18
Let x be 6/(-9) + 1050/63. Suppose 23*k - 231 = x*k. Let n = 11 - 2. What is the remainder when k is divided by n?
6
Let q = -22 + 269. Suppose q = 5*d - 123. What is the remainder when d is divided by 42?
32
Let k(y) = -y**3 + 8*y**2 - 6*y - 4. Let a be k(7). Suppose 3*b + 2*x = 67, a*b - 48 = b + 2*x. What is the remainder when b is divided by 10?
3
Let o = 3647 - 3133. Calculate the remainder when o is divided by 104.
98
Let l(s) = s + 3. Let x be l(1). Suppose 0 = -j - x*j + r + 135, 4*r - 135 = -5*j. What is the remainder when (-42)/6*(1 - 12) is divided by j?
23
Let x(m) = 624*m + 11872. Calculate the remainder when x(-16) is divided by 13.
3
What is the remainder when (4/3)/(-19 - 2617142/(-137742)) is divided by 245?
9
Let p = 37868 + -37789. Let l = 6 - 1. Suppose 2*c + x - 39 = 4*x, 25 = l*x. Calculate the remainder when p is divided by c.
25
Let j = -387 - -390. Suppose -u - 29*s + 32*s = -172, 476 = j*u - s. What is the remainder when u is divided by 43?
28
Let f be 5/(-2)*(-4 + (-16)/2). Let u(b) = b**2 - 32*b + 151. Calculate the remainder when u(f) is divided by 30.
1
Suppose -3978*f = -3948*f - 4470. What is the remainder when f is divided by 26?
19
Let s = -53 + 63. Let y(l) = l**2 - 7*l - 14. Suppose 0 = 12*z - 13*z + 47. What is the remainder when z is divided by y(s)?
15
Let r(n) be the third derivative of n**5/6 + 9*n**4/8 + 17*n**3/6 - n**2 + 19. Calculate the remainder when r(-8) is divided by 37.
34
Let w = 47361 + -47299. Suppose c - 3 - 237 = 0. Calculate the remainder when c is divided by w.
54
Suppose 5*u = 2*p - 16, -3*p + u = -0*p - 11. Calculate the remainder when p is divided by (-10)/(-6)*(4 - 1) + -4.
0
Let i(n) = 5*n + 48. Let j be i(-8). Suppose j*l - 28 - 4 = 0. What is the remainder when 36 is divided by l?
0
Let b(u) = -12*u - 65. Let l = -40 - -33. Let s(c) = -23*c - 131. Let d(y) = l*b(y) + 4*s(y). Calculate the remainder when d(-13) is divided by 12.
11
Let w = 23417 - 23401. What is the remainder when 37213 is divided by w?
13
Suppose 2*h - 25 = -11. Let q be -1 - (6 - 5) - -7. Suppose -59 - 105 = -q*w + o, 2*o = -5*w + 152. What is the remainder when w is divided by h?
4
What is the remainder when 8205/55 - (1/6 + 27/1782) is divided by 79?
70
Suppose -3*h + 5*j = -598, -13*h + 18*h - 5*j = 1010. Let n = h - 178. What is the remainder when 98 is divided by n?
14
Let s = -7999 + 8038. What is the remainder when 186 is divided by s?
30
Suppose 2*x + 4*x = 12. Suppose -x*f + p = 4*p - 9, -2*p + 6 = 3*f. Suppose f = w - 5*d - 19, 12 = -d - 3*d. What is the remainder when 35 is divided by w?
3
Let h(z) = z - 1. Let s be h(5). Suppose -3*x = -s*d + 59 + 