 the remainder when 77 is divided by 9 + d - (6 + 1)?
1
Suppose 0 = r - 4*d + 3, 3*d + 6 - 17 = -r. Suppose -14 = -r*j - 4. Suppose j*x + 2*x = 232. Calculate the remainder when x is divided by 20.
18
Suppose -82*c + 83*c = 75. What is the remainder when c/(-50)*4/(-9)*492 is divided by 22?
20
Let o(n) = 6*n**2 - 454*n + 1785. Suppose -10 = -s + 13. What is the remainder when o(4) is divided by s?
19
Let p(u) = -4*u**2 - 103*u + 13. Let q be p(-14). Let k = -554 + q. Calculate the remainder when k is divided by 55.
7
Let q be ((-3)/(-9))/(1396/1392 + -1). Suppose -q = -4*x - 5*v, -7*x + 87 = -4*x + 4*v. What is the remainder when 51 is divided by x?
22
Suppose 9*m = -0*m + 27. What is the remainder when 42 is divided by ((-1)/m)/(2*1/(-60))?
2
Suppose 15*z - 12*z = 90. Let r be (348/z)/((2*-1)/(-10)). Suppose w + 2*c = c + r, 3*c = -4*w + 232. Calculate the remainder when w is divided by 21.
16
Suppose 26*c - 20*c + 30 - 114 = 0. Suppose 3*n = 93 + 123. Let b = n - c. What is the remainder when b is divided by 12?
10
Suppose -2*n + 3 = -3*n. Let a(i) be the first derivative of -i**3/3 - 3*i**2/2 + 9*i + 1547. What is the remainder when 44 is divided by a(n)?
8
Let p be (-12)/(-6)*(0 + 2). Suppose 3*n = -s + 53, -5*n = p*s - 81 - 138. Suppose 2*v = -5*v + s. Calculate the remainder when 12 is divided by v.
4
Let u = 69227 + -69219. Let h(k) = -2*k**2 - 5*k - 2. Let v be h(-5). Let g = v + 55. What is the remainder when g is divided by u?
4
Suppose -28*s - 4*v = -24*s - 56, 4*s = -5*v + 51. Suppose 3*h - 54 = 15. Let x = h + -16. Calculate the remainder when s is divided by x.
5
Calculate the remainder when -1438*5/130*-13 is divided by 91.
82
Let w(t) = -9303*t - 9146. Suppose -2 = 2*k, -2*h + 24 = -0*h - 4*k. What is the remainder when w(-1) is divided by h?
7
Let o(i) = -4*i + 7. Let d(k) = 3*k + 4. Let w be d(-1). Let p be o(w). Suppose -2*q + p*q - 14 = 0. What is the remainder when 67 is divided by q?
11
Suppose 34*k - 4*k - 660 = 0. Suppose 15*h = 18*h - 321. Calculate the remainder when h is divided by k.
19
Let j(l) = 31*l**2 - 587*l + 39. What is the remainder when 121 is divided by j(19)?
44
Let w(t) = 7*t - 10. What is the remainder when w(7) is divided by (-689)/(-53) + 4/(-1)?
3
Suppose 273*b - 5434 = 5213. Calculate the remainder when 198 is divided by b.
3
Let n(k) = k**2 + 166*k + 6280. Let u = 50 + -19. What is the remainder when u is divided by n(-108)?
15
Suppose 533*c - 542*c + 954 = 0. Calculate the remainder when 298 is divided by c.
86
Suppose 35*f = 17*f - 360. Calculate the remainder when 173 is divided by 16/f*(1 + (-285)/10).
19
Suppose 7*i = 3*z + z + 4109, 3*i = 5*z + 1761. What is the remainder when i is divided by 70?
27
Let f = 2015 + -1992. Suppose 0 = 2*y - 4*y + 20. Suppose -h - y = 4*h, -h + 111 = c. What is the remainder when c is divided by f?
21
Calculate the remainder when 2975 is divided by (-1598)/(-85) - 44/(-20).
14
Suppose 4*y = 45 + 47. Let q be 2/(6 - 2635/440). Let r = q + -132. Calculate the remainder when r is divided by y.
21
Let m = 121 + -119. Let o(x) = -x**3 + 4*x**2 + 3*x - 2. What is the remainder when 83 is divided by o(m)?
11
Suppose -4*j + j + 114 = 0. Let v(f) = -1057*f**2 + 3 + 20*f - 22 + 1056*f**2. What is the remainder when v(13) is divided by j?
34
Let p(n) = -5*n + 19. Let o be p(5). Let v(t) = -t**2 - 11*t - 26. What is the remainder when 70 is divided by v(o)?
2
Let r(p) = -7*p**3 + p**2 + 6*p + 17. Calculate the remainder when r(-4) is divided by 72 + (4 - 10 - 0).
61
Let l(o) = -21*o**2 - 517*o - 46. What is the remainder when l(-17) is divided by 29?
6
Let u = 27 - 12. Suppose -3*m = 3*m - 18. Suppose -m*b = 12, 4*b = -2*g + 9*b + 132. Calculate the remainder when g is divided by u.
11
Suppose -5*i + 5 = 2*x + 3*x, 0 = -4*i - 3*x + 5. Suppose -5*t - i*t = 7. Calculate the remainder when 13 is divided by t - (-7 + -1 + -1 + 3).
3
Suppose -12*v = -4*v - 24. Suppose 0 = 5*t + v*t - 32. Suppose -5*a + 3*y + 105 = -0*y, -116 = -t*a - 4*y. Calculate the remainder when 45 is divided by a.
21
Suppose -34*o - 17*o + 116*o - 13520 = 0. What is the remainder when 540 is divided by o?
124
What is the remainder when 1917 is divided by (-9669)/(-264) - (-15)/(-24)?
9
Suppose 4*x = 5*f - 12, -6*x + f = -x - 6. Calculate the remainder when -3 - (-2 - (x + 241)) is divided by 27.
26
Let d = 4186 + -3942. Calculate the remainder when d is divided by 56.
20
Let m = -2675 + 3596. Suppose -j = -5*g - 32, 0*j - 2*j = 4*g - 36. Calculate the remainder when m is divided by j.
19
Let r = 9471 - 2673. Calculate the remainder when r is divided by 19.
15
Let k(j) = j**2 + 12*j - 12. Suppose 8*p - 1780 = -12*p. What is the remainder when p is divided by k(-15)?
23
Suppose 5*n = -181 + 166. Let u(a) = -a. Let j be u(n). Suppose 0 = -j*r - 3*c + 33, -c = -4 + 7. Calculate the remainder when 52 is divided by r.
10
Suppose -5*o - 4*i + 96 = -36, -3*o = 2*i - 78. Let f = 2346 - 2254. What is the remainder when f is divided by o?
20
Let u(p) = -2*p**2 + 10*p - 18. Let y be u(12). Let w = y + 122. Let b = -38 - w. What is the remainder when b is divided by 15?
11
Let x(n) be the first derivative of n**4/4 - n**3 + 3*n**2/2 + 2*n - 48. What is the remainder when x(4) is divided by 11?
8
Let u = -23 + 38. Let b(o) = -2*o + 37. Let k be b(u). Suppose -k*c = -c - 522. Calculate the remainder when c is divided by 22.
21
Let f be 6 + -5 + 0/(-2*1). Let o be (f/6*-4)/((-12)/342). Suppose 17*p = o*p - 36. What is the remainder when p is divided by 5?
3
Let f(w) = -1442*w + 14427. Let b(s) = 4*s**2 + s + 1. What is the remainder when b(2) is divided by f(10)?
5
Let t(p) = 20*p + 2. Let k = -362 - -380. What is the remainder when t(4) is divided by k?
10
Suppose 121*i = -231*i + 45056. Calculate the remainder when 172 is divided by i.
44
Suppose 0 = 360*x - 388*x + 1680. What is the remainder when 8638 is divided by x?
58
Let m = 1314 + -1313. Let t(x) be the first derivative of 24*x**2 - x + 3. What is the remainder when t(m) is divided by 17?
13
Let o(k) = k**2 - 38. Let r be o(-10). Suppose -3*s + 1 + r = 0. What is the remainder when 26 is divided by s?
5
Suppose 4*j = 2*h + 18, -25*j + 17 = -20*j + 3*h. Suppose 0 = n + 3*w - j*w - 278, -4*n - 5*w = -1157. What is the remainder when n is divided by 26?
23
Let f(j) be the second derivative of 14*j**3 - 145*j**2/2 - 225*j. What is the remainder when f(4) is divided by 61?
8
Suppose -153*c + 7 + 750 = -1079. Suppose 5*k = 5*u - 65, -3*k + 33 = 3*u - 0*u. Let h(y) = 4*y - 8. What is the remainder when h(u) is divided by c?
4
Suppose 281 = -3*k - 790. Calculate the remainder when 4/14 + (-2754)/k is divided by 2.
0
Let d be (3 - 243)/(6/(-6)) + -2. Calculate the remainder when 3 + 9 + (d - -8) is divided by 84.
6
Let b = 255 + -249. What is the remainder when b/(-10) + (0 - 5247/(-45)) is divided by 17?
14
Let p be 30/(-225) - 3958/15. Calculate the remainder when p/(-20) + (-3)/15 is divided by (-19)/(-5) - (-4)/20.
1
What is the remainder when 201 + -74 - (0 + 1 + 0) is divided by (-3)/(-1)*((-64)/(-3))/2?
30
Let a(m) = -4*m**2 - 37*m + 489. What is the remainder when 3838 is divided by a(7)?
30
Suppose 2*l - y = -24, -2*y + y - 26 = 3*l. What is the remainder when 11 is divided by 6/l - 468/(-130)?
2
Let r be 22/(-44)*(-4 - 0). What is the remainder when 34 is divided by (-6)/r + (-23 + 5)/(-2)?
4
Suppose 10*h = -3*o + 9*h + 1052, 2*o - 3*h = 683. Let g = o - 66. Calculate the remainder when g is divided by 48.
43
Let h = -247 + 273. Calculate the remainder when 143 is divided by (h - (1 + 0)) + 300/(-75).
17
Let d(j) = 526*j + 1607. Calculate the remainder when 980 is divided by d(-3).
23
Let c = -32 - -29. Let f = -2 - c. Let k = f + 11. Calculate the remainder when 20 is divided by k.
8
Suppose -2*d - 6429 + 25279 = 4*s, 4*s - 5*d = 18857. Calculate the remainder when s is divided by 39.
33
Suppose 0 = -6*c - 54 - 6. Let u(i) = 7*i + 89. Calculate the remainder when u(c) is divided by 14.
5
Let w = 21298 - 10200. Suppose -13*s + w = 18*s. What is the remainder when s is divided by 30?
28
Calculate the remainder when (15/10)/(30/(-9200)*-5) is divided by 15.
2
Let j(o) be the third derivative of 5*o**4/24 + 79*o**3/6 + 48*o**2. Calculate the remainder when 142