*123 is divided by 6.
3
Suppose 5*o = 9*o - 20. Let j be ((-2)/(-5))/(o/50). Suppose -11*v + 140 = -j*v. Calculate the remainder when 39 is divided by v.
19
Let w(r) = 339*r - 2686. Calculate the remainder when 270 is divided by w(8).
10
Let d = 188 - 93. Calculate the remainder when d is divided by -1 + 36/33 - -548*19/418.
20
Let w = -3454 + 9060. Calculate the remainder when w is divided by 9.
8
What is the remainder when 80 is divided by (21/(-4))/(-7 + (-332)/(-48))?
17
Suppose 473 = o - 5*y, -3*o = 4402*y - 4408*y - 1464. What is the remainder when 551 is divided by o?
53
Suppose -u - l + 15 = -3*l, 4*u + 2*l = 20. Let k = 881 - 873. Suppose 4*h - k*h = 5*d - 74, -42 = -3*h + 3*d. What is the remainder when h is divided by u?
2
Let q(s) be the third derivative of -s**5/60 + 11*s**4/24 - 8*s**3/3 - 5*s**2 - 4*s. What is the remainder when ((-21)/(-2))/((-1)/(-2)) is divided by q(7)?
9
Let d(p) = -2*p**3 - 4*p**2 - 11*p - 2. Let u be d(-3). Suppose -u*m + 58*m - 243 = 0. What is the remainder when m is divided by 10?
7
Suppose -25*v - 532 + 16 = -31*v. What is the remainder when 773 is divided by v?
85
Let u = 117 - -57. Suppose -653 = 5*y - 3*b + 205, 3*b - u = y. Let p = -120 - y. Calculate the remainder when p is divided by 26.
25
Let d = -83 - -112. Suppose -3*i = -11 + d. Calculate the remainder when 2/(-10)*-353 - i/15 is divided by 24.
23
Suppose -b + 33 = -2. Let q(n) = 4*n - 3. Let a be (-7 - -4)*((-3)/3)/1. What is the remainder when b is divided by q(a)?
8
Suppose -4*y + 35 = -381. Calculate the remainder when y is divided by (-4)/(24/(-99)) - (-6)/(-4).
14
Let a(j) = 209*j - 1453. Calculate the remainder when 277 is divided by a(7).
7
Let i(b) = -27*b**2 - 7*b - 6. Let t(l) = -27*l**2 - 6*l - 5. Let c(p) = 5*i(p) - 6*t(p). What is the remainder when -2*(3 + -5 + -23) is divided by c(-1)?
24
Let g = 18954 + -17611. What is the remainder when g is divided by 18?
11
Let o = 359064 + -358932. Suppose -144 = -0*r - 2*r. Calculate the remainder when o is divided by r.
60
What is the remainder when 8/(-2) + -1 - (-621 - (-6)/(-2)) is divided by 20?
19
Suppose -144 = -2*t - 2*t. Calculate the remainder when 4 - 209*(-12 + 11) is divided by t.
33
Let h = 612 - 535. Suppose -5*b - h = -w - 3*b, -3*w + 3*b = -225. What is the remainder when w is divided by 38?
35
Let s = 43 + 17. Let v = 11 - -3. Let u = s + v. Calculate the remainder when u is divided by 25.
24
Suppose 284 = -8*a + 972. Suppose 5*h + j + 36 = 116, -5*j = -h - 10. Let t = 14 + h. Calculate the remainder when a is divided by t.
28
Suppose 7*b = -9*b - 128. Let r(x) = x**2 + 4*x + 1. Let h be r(b). Suppose d = -4*w + h, -3*w = 2*d - 5*d + 84. Calculate the remainder when d is divided by 8.
5
Let f = 31 + -3. What is the remainder when (-296)/3*(-87)/116 is divided by f?
18
Suppose 52 = -2*q + 5*q + 4*m, 4*m = -20. Calculate the remainder when ((-5)/(-10))/(4/2104) is divided by q.
23
Let f be 17 + 4 + -5 + 1. Let c(y) = -y**3 + 18*y**2 - 18*y + 23. Let k be c(f). Calculate the remainder when 14 is divided by (-2)/k - 300/(-36).
6
Let z = -21262 - -43350. What is the remainder when z is divided by 47?
45
Let d be (2/(-14)*6)/((-18)/63). Let c = d + -1. Suppose -181 = -3*a + c*a. Calculate the remainder when a is divided by 26.
25
Let d(p) be the second derivative of 7*p**4/6 + p**3/6 - p. Let s(x) = 2*x**3 - 9*x**2 + 6*x + 4. What is the remainder when s(5) is divided by d(1)?
14
Let o = -65 + -47. Let l be (-377)/(-3) + (-4)/6. Let k = o + l. What is the remainder when 62 is divided by k?
10
Suppose 0 = -15*g - 8*g. Suppose -a + q = -26, 2*a + 0*a - 5*q - 58 = g. What is the remainder when 159 is divided by a?
15
Let j(w) = -w**3 + 39*w**2 + 44*w + 46. Calculate the remainder when 441 is divided by j(40).
29
Let n = -375 + 377. Suppose -5*f = n*t - 855, -46 = 5*f - t - 916. What is the remainder when f is divided by 35?
33
Let l = 277 - 527. Let b = l - -261. Calculate the remainder when 12 is divided by b.
1
Suppose 101*p - 1978 = 2163. Calculate the remainder when 614 is divided by p.
40
Let m(q) = 4*q**2 - 44*q + 49. Suppose 2*l - 80 = -3*v, -4*v - l = -0*l - 110. What is the remainder when m(11) is divided by v?
21
Let c = -31603 - -31617. What is the remainder when 10722 is divided by c?
12
Let w be (714/(-63))/(2/(-27)). Suppose -3 = 3*f, -w = -3*l - 4*f + f. Let a = l - 33. Calculate the remainder when a is divided by 3.
1
Let p be 48 - 1 - (-4 + 9). Let r = 70 + p. Let w = -98 + r. Calculate the remainder when 51 is divided by w.
9
Let x(b) = -b**2 - 7*b - 4. Suppose -h - 11 = 4*u, 5*h - 9 - 11 = 5*u. Calculate the remainder when 8*(-6)/(-144)*93 is divided by x(u).
7
Let k be (-3 - 63/12)/(3/(-60)). Let d = -151 + k. What is the remainder when 152 is divided by d?
12
Suppose 945 = 318*u - 183*u. Calculate the remainder when 6605 is divided by u.
4
Suppose -x - 3*x = -44. Let g = -145 - -147. Calculate the remainder when 6/(24/244) - (-6)/g is divided by x.
9
Let v = -78 - -80. Suppose -8*x = -v*x - 66. Let d(t) = 6*t**2 + t + 1. What is the remainder when x is divided by d(-1)?
5
Let n(p) = 2*p + 2. Let u be n(-17). Let h = -19 - u. Let w(j) = 37*j**2 + 2*j - 1. Calculate the remainder when w(1) is divided by h.
12
Let o(p) = -48*p + 751. What is the remainder when 386 is divided by o(14)?
70
Let c = -41 + 1. Let h be (-3)/5 + (-464)/c. What is the remainder when 69 is divided by h + 10/4*(-16)/20?
6
What is the remainder when 6/8 - (-236970)/40 - (0 - -5) is divided by 141?
139
Let r(f) = f**2 - 33*f - 12. Calculate the remainder when r(-4) is divided by 86.
50
Let v = -852 + 862. Let z(w) = 22*w - 52. What is the remainder when z(5) is divided by v?
8
Let x(q) = q**3 - 11*q**2 + 12*q - 15. Let n be x(11). Suppose 142 = 4*s - 5*h, 3*s - 2*h + 14 - n = 0. What is the remainder when 127 is divided by s?
28
Suppose 5*u - 1067 = -z, 2941 = 2*z - 4*u + 849. Calculate the remainder when z is divided by 39.
38
Let l(c) = -2*c**2 - 63*c - 45. Let k(m) = 3*m - 54. Let z be k(8). Calculate the remainder when l(z) is divided by 4.
1
Let v(r) = 44*r - 834. Calculate the remainder when v(31) is divided by 28.
26
Let x(m) = -8*m + 23. Let i = 104 - 113. Calculate the remainder when x(i) is divided by 16.
15
Let u(p) = -2*p**2 + 58*p + 494. What is the remainder when u(30) is divided by 143?
5
Calculate the remainder when 6899 is divided by ((-15)/(-18))/((-55)/110) + 1228/6.
200
Let b(f) = -f**2 - 9*f + 94. Let s be b(-15). What is the remainder when 40 is divided by 2 + -75*s/(-12)?
13
Let p be (-4)/6 - 25350/(-90). Suppose 6*i - p = -5. What is the remainder when 54 is divided by i?
8
Let k be 4/(-5) - (-438)/10. Let a = k + -26. Let r(o) = -o**2 + 5*o + 85. What is the remainder when r(9) is divided by a?
15
Suppose -2*l = 2*y - 370, -y = -6*y + 25. Suppose -7*w + l = 5*w. What is the remainder when 40 is divided by w?
10
Let u(w) = -9*w**2 - 17*w - 2. Let y(c) = 9*c**2 + 18*c + 2. Let d(g) = -6*u(g) - 5*y(g). What is the remainder when 99 is divided by d(-3)?
5
Let b(g) be the first derivative of -27 + 23/2*g**4 + 0*g - 2/3*g**3 + 1/2*g**2. What is the remainder when b(1) is divided by 12?
9
Let r = 14003 - 13046. What is the remainder when r is divided by 233?
25
Let v be (-5 + (-24)/(-4))*0. Suppose v = 34*y - 1180 - 44. Suppose -212 = -4*g + 644. What is the remainder when g is divided by y?
34
Let q(z) = z**3 - 12*z**2 + 21*z + 36. Let j be q(11). Suppose 2*v - 4*k + 8*k = 96, 5*k = -3*v + j. Calculate the remainder when v is divided by 12.
4
Suppose 0 = -33*q + 32*q + 9. Suppose 0 = -q*x - 19 + 856. Calculate the remainder when x is divided by 24.
21
Suppose -3*k + 7*k + 4*a = 4, 3 = k + 2*a. Suppose -4*s = -79 - 161. What is the remainder when s is divided by 220/24 - k/(-6)?
6
Suppose -7*n + 3*l = -4*n - 123, 4*n + l = 174. Let x = n - -92. Calculate the remainder when x is divided by (-4)/(-10) + (-336)/(-10).
33
Suppose -2 = o, 17*g - 5*o - 880 = 15*g. Suppose 2*k = 7*k - 5*c - g, -k + 57 = 5*c. What is the remainder when k is divided by 14?
12
Suppose -20*s - 4*s + 1628 = -2*s. Let o = -58 - -117. Let r = s - o. What is the remainder when 25 is divided by r?
10
Let p be (-4 - -9)/(4/(-64)). Calculate the remainder when (-77568)/p + 6/(-10) is divided by 97.
9