 t = -4 - -16. What is the remainder when q is divided by t?
10
Let i = 87 + -35. Let g = -19006 - -19028. Calculate the remainder when i is divided by g.
8
Suppose -j - w = 32, 5*w - 69 = 3*j - 5. Let v = j - -72. Suppose 0*p = p + 2*y - 12, -5*y - 24 = -2*p. What is the remainder when v is divided by p?
8
Let b(w) = 39*w**2 - 9*w + 0 - 77*w**2 + 39*w**2 + 6. Let t = -18 + 47. What is the remainder when b(-8) is divided by t?
26
Let y(a) = a**3 + 9*a**2 + 9*a + 34. Suppose -2*t - 3*x = -7 + 24, 8 = -t - x. Calculate the remainder when y(t) is divided by 27.
15
Let r be 21/14 + (3/2)/(-3). Suppose -13*l + 25 = -r. Suppose 492 = 5*c - l*x, -3*c + x + 197 = -98. What is the remainder when c is divided by 20?
18
Suppose 291*n - 199*n = 5704. Suppose -g - 15 = v - 5*g, -2*g + 12 = 4*v. Let h = 12 + v. Calculate the remainder when n is divided by h.
10
Let g(h) = h**3 + 28*h**2 + 74*h - 6. Let c = 6 - 31. What is the remainder when 397 is divided by g(c)?
17
Suppose 179*x - 45620 = 14882. What is the remainder when 908 is divided by x?
232
Let f be 1/((-1 - 2)/(-576)). Let l = -182 + f. Suppose -5*a - 5 = 0, 4*m - a - 64 - 1 = 0. Calculate the remainder when m is divided by l.
6
Let a = 9714 + -9165. What is the remainder when a is divided by 174?
27
Suppose 14*j - 7*j + 5016 = 26*j. What is the remainder when 2120 is divided by j?
8
Suppose 10 = 7*j - 11. Suppose -t = 3*y - 12, -j*t - 11*y + 64 = -16*y. What is the remainder when 50 is divided by t?
14
Let o(f) be the first derivative of -3*f**2/2 + 123*f + 145. Calculate the remainder when o(-18) is divided by 15/(-2)*(-1 + -5).
42
Let o = 975 + -1408. Let g = o + 609. What is the remainder when g is divided by 3?
2
Suppose -1540 = 46*d - 52968. What is the remainder when d is divided by 28?
26
Let k = 573 + -552. Calculate the remainder when 759 is divided by k.
3
Suppose -34 + 28 = d. What is the remainder when (d/(18/123))/((-3)/9) is divided by 18?
15
Calculate the remainder when ((-159)/18 - (-4)/12)/(70/(-15260)) is divided by 615.
8
Suppose -r = 5*t - 68, 3*t + 13 = r - 71. What is the remainder when 6238 is divided by r?
76
Let p = -180 + 73. Let i = p - -214. Let q = 282 - i. What is the remainder when q is divided by 44?
43
Suppose 24*u - 18*u - 900 = 0. Let x = -130 + u. What is the remainder when 76 is divided by x?
16
Suppose 0 = -7*n - n + 48. What is the remainder when -5 - ((-4176)/108)/((-4)/6*-1) is divided by n?
5
Let v(b) = -b**2 + 13*b - 21. Suppose 2*t = 4*t - 18. Let w = -63 - -71. What is the remainder when v(t) is divided by w?
7
Let o(z) be the first derivative of 11 - 1/4*z**4 - 13*z - 4*z**2 - 3*z**3. What is the remainder when o(-9) is divided by 13?
7
Calculate the remainder when (40/((-80)/(-8)))/((-2)/(-13562)) is divided by 25.
24
Suppose 3*t = 122 - 41. Let k(w) = w**3 + 18*w**2 - 43*w - 1003. What is the remainder when k(-16) is divided by t?
8
Suppose 5*l = p - 38, -7*l + 3*l - 104 = -4*p. Suppose -17*u - 1308 = -p*u. What is the remainder when u is divided by 20?
18
Let j(u) = 448*u**2 - 107*u + 1. Calculate the remainder when j(2) is divided by 144.
139
Let a(r) = r**2. Suppose 0 = 3*u + 3 - 18. Suppose 0 = -18886*d + 18907*d + 49 - 343. Calculate the remainder when a(u) is divided by d.
11
Calculate the remainder when ((-67136)/480*-15)/((-1)/(-26)*4) is divided by 44.
41
Let w = -15 - -17. Suppose -c - w*c = 75. What is the remainder when (-2)/(3 - 1)*c is divided by 7?
4
Let s = 342 - 337. Suppose -15*f + l = -11*f - 985, f = -s*l + 241. Calculate the remainder when f is divided by 66.
48
Let k = 2907 + -2886. What is the remainder when 3483 is divided by k?
18
Suppose 0 = -2*s - 12*s + 2484 + 694. What is the remainder when 1143 is divided by s?
8
Calculate the remainder when ((-11)/(264/(-11320)) - -1)/((-4)/(-6)) is divided by 20.
9
Let r(x) = 187*x + 42. Let s be r(6). Suppose -4*u + 16*u = s. Calculate the remainder when u is divided by 20.
17
Let a(o) = 8*o**3 - 10*o**2 - 13*o + 10. Let l be a(5). Suppose -47 = -14*u + l. Calculate the remainder when u is divided by 18.
17
Let f(k) = -k**3 + 20*k**2 - 36*k - 1. Let o be f(18). Calculate the remainder when (45/o)/((-12)/16) is divided by 22.
16
Let c(w) = -w**3 + 12*w**2 - 20*w + 8. Let n be c(10). Suppose -n*m + 55 = -73. What is the remainder when m is divided by 5?
1
Let a = -2423 - -2436. Calculate the remainder when 68 is divided by a.
3
Let h(n) be the first derivative of -n**4/2 + 20*n**3 - 55*n**2/2 - 67*n + 29. What is the remainder when 67 is divided by h(29)?
7
Let u = -15589 - -15756. Calculate the remainder when u is divided by 125.
42
Let h = -7982 + 8075. Calculate the remainder when 642 is divided by h.
84
Let o(f) = f**2 + f - 1. Let p be (-40)/3*351/36. Let u = 196 + p. Calculate the remainder when u is divided by o(4).
9
Suppose -4*n + 15 = -k, 0 = -3*n + 3*k + 1 + 8. What is the remainder when 27 is divided by -1 - (0 - n - 8)?
5
Calculate the remainder when 526 is divided by 8653/85 + 70/(-25).
31
Let u(g) = 132*g - 228. Calculate the remainder when u(4) is divided by 37.
4
Let z = 10 - 1. What is the remainder when (16 - 4) + (-42)/(-168)*436 is divided by z?
4
Let i(s) be the first derivative of 11*s**3/3 + s**2 + 3*s + 20. What is the remainder when i(-2) is divided by 6?
1
Suppose -7*a + 40145 = -15*a + 39*a. What is the remainder when a is divided by 331?
302
Suppose -16*u + 6 = -14*u. Suppose u*d = 4*k + 45, 10*k + 42 = 3*d + 7*k. Calculate the remainder when 45 is divided by d.
1
Let r be -2 + 3 + (-62)/(-2). Suppose -r + 12 = -5*o. Suppose -4*k + g = -20 - 35, 3*k = o*g + 25. Calculate the remainder when k is divided by 9.
6
Let l = -103 + 101. Let v be 65*(-3)/l*(-10)/(-25). Suppose 10*p - 159 = -v. What is the remainder when p is divided by 7?
5
Calculate the remainder when 195 is divided by ((-1548)/45 - -15)*-5*1.
1
Let h(q) = q**3 - 7*q**2 + 2*q - 2. Let m be h(7). Let l(t) = -20*t. Calculate the remainder when l(-2) is divided by ((-6)/m)/((-2)/44 - 0).
7
Suppose 29*n - 1489 + 511 - 1052 = 0. What is the remainder when 158 is divided by n?
18
Let z = 18845 - 15891. What is the remainder when z is divided by 19?
9
Suppose -16 = 4*w - 92. Suppose 0 = -3*k - o + 1400, -31*o + 25*o = 4*k - 1792. Calculate the remainder when k is divided by w.
16
Suppose -46*a - 4*w - 192 = -47*a, -4*a = w - 819. What is the remainder when 3059 is divided by a?
203
Let l be -4 + 14/2 + 0. Suppose -l*p - 40 = -2*i, -4*i + 94 = 4*p - 3*p. Let s = -100 - -112. Calculate the remainder when i is divided by s.
11
Suppose 67*f - 2756 = 1331. Calculate the remainder when f is divided by (-1)/2*2 - -12.
6
Suppose -84*p = -27086 + 3398. What is the remainder when p is divided by 107?
68
Let n(h) = 11*h**2 - 4*h + 23. Let q be (-50)/12 + 9/54. Calculate the remainder when n(q) is divided by 36.
35
Let m be 180/24 - 2/(-4). Let h(b) = b**3 - 6*b**2 - b + 6. Let n be h(m). Suppose -7*a - n = -714. What is the remainder when a is divided by 22?
18
Let c(u) = 9*u - 13*u + 120 - 21*u - 365. What is the remainder when 24 is divided by c(-10)?
4
Suppose 0 = 2*m - 4*d + 8*d + 10, 4*m + 4*d + 8 = 0. What is the remainder when 610 is divided by (-1963)/302*((0 - m) + -1)?
12
Suppose -21*z = -26*z + 155. What is the remainder when 1671 is divided by z?
28
Suppose -i - 919 = -5*m, 34*m - 30*m = -4*i + 740. What is the remainder when m is divided by 18?
4
Let w be (-1)/(-3) - -3 - (-6)/9. Suppose -6 = -2*q + w. Suppose q*t - 30 = -i, 3*t - 4*i - 18 = -0*i. What is the remainder when 33 is divided by t?
3
Let c = -18 - -18. Suppose 2*j - 30 = -c. Let b(a) = a**3 + 15*a**2 - 6*a + 13. Calculate the remainder when b(-15) is divided by j.
13
Let a = -26 + 66. Suppose -z + 4*n = -45, -4*n + 10 - 1 = 21. What is the remainder when a is divided by z?
7
Let b = -15019 - -15033. Let d = 94 - -295. What is the remainder when d is divided by b?
11
Let r be (-4)/10 + -6 + (-192)/(-30). Suppose -4*w + 25 = i, -5*i + r*w + 62 = -w. What is the remainder when 72 is divided by i?
7
Let l(t) = t**3 - 20*t**2 + 108*t - 51. Suppose 5*c + 4 = -11. Calculate the remainder when l(7) is divided by -2 + (-12)/(c - -2).
8
Let o(c) = 156*c - 306. Let d be 15/4*40/(-15). What is the remainder when o(2) is divided by d*((-39)/(-15) + 