is divided by 6?
2
Suppose -97*n - 10*n + 4494 = 0. What is the remainder when 373 is divided by n?
37
Let n be 45/60 + (-1 - 34/(-8)). Suppose -n*a + 141 = 25. What is the remainder when 113 is divided by a?
26
Let w = -320 - -344. Suppose -11*m = w - 233. What is the remainder when 92 is divided by m?
16
Suppose 49*y + 10 = 50*y. Suppose 2*w + 273 = 9*w. What is the remainder when (3/y*-76)/((-28)/140) is divided by w?
36
Suppose -q - 52*j = -49*j - 150, -5*j - 790 = -5*q. What is the remainder when q is divided by 46?
18
Calculate the remainder when 1217 is divided by -53*((-96)/(-12))/(-8).
51
Let x be 111/21 + 10/(-35). Suppose c = 3*v - 0 - 12, 0 = x*v + 5*c. Suppose -v*b + 88 = 25. Calculate the remainder when 123 is divided by b.
18
Suppose -34 = 2*z + 2*a, 5*z + 0*a - 4*a = -121. What is the remainder when 65 is divided by (-3 - -20)/(z/(-6) + -3)?
31
Suppose -611 = -446*c + 399*c. Calculate the remainder when 3843 is divided by c.
8
Suppose 4*j - 5*q - 579 = -113, -2*j + 232 = -2*q. What is the remainder when 401 is divided by j?
59
Suppose -7*x = -5*v - 4*x - 61, 0 = 3*v + 2*x + 48. Calculate the remainder when 267 is divided by (-2)/(-7) + (-948)/v.
63
Let w(y) = -40 + 17*y + 28*y + 20*y - 57*y. What is the remainder when 101 is divided by w(7)?
5
Let a(f) = -f**2 + 11*f + 33. Let s be a(11). Let x = -29 + s. Let m(q) = q**3 - 4*q**2 + 10*q - 10. What is the remainder when 118 is divided by m(x)?
28
What is the remainder when 112/14 - -608 - -4 is divided by 57?
50
Let d = -1353 - -1746. What is the remainder when d is divided by 46?
25
Suppose 9 = -0*g + 3*g. Let x be ((-4)/g - -2)*51. Let u = 35 - x. What is the remainder when 2 is divided by u?
0
Let y(x) = -x**2 + 26*x + 43. Let u be y(21). Suppose 7*j = -34 - u. Calculate the remainder when 49 is divided by j*((-4)/8)/1.
10
Let y = 3730 + -3501. What is the remainder when 2518 is divided by y?
228
Suppose -2*w = -0*w - 20. Let b = -661 + 940. What is the remainder when b is divided by w?
9
Suppose d - 2*s = 8, 4*d - 4*s = -d + 40. Let m = d - 5. Suppose 4*b + 4*x - x - 106 = 0, -x - 73 = -m*b. What is the remainder when b is divided by 13?
12
Let v = 14651 + -14619. What is the remainder when 685 is divided by v?
13
Let d be (-22)/(-16) - 18/48. What is the remainder when 207 is divided by (-2 - d)*2*22/(-12)?
9
Let a = -12926 + 12997. What is the remainder when 12493 is divided by a?
68
Let s = 2 - -4. Let i(w) be the third derivative of w**6/120 - 7*w**5/60 + w**4/12 + w**3/6 + 20*w**2. What is the remainder when i(7) is divided by s?
3
Let f(m) = 3*m - 246. Let k be f(9). Let g = k + 435. Calculate the remainder when g is divided by 73.
70
What is the remainder when 179 is divided by (1 - 2/4)/(5 + (-763)/154)?
3
Let r = -100 + 98. Suppose 4*v - 175 = -v. Calculate the remainder when (0 - -139)/(18/6 + r) is divided by v.
34
Let j be ((-14)/(-35))/((-4)/(-10)). Let b = 194 - 175. Calculate the remainder when (-92)/(-1) - (-1 + j) is divided by b.
16
Let w = 9245 + -8975. What is the remainder when w is divided by 28?
18
Let u = -11545 - -11664. What is the remainder when 351 is divided by u?
113
Suppose 26 - 1981 = -115*p. Let o(u) = -u**3 - 6*u**2 + 3*u + 1. What is the remainder when o(-7) is divided by p?
12
Let q(z) = -z**2 + z + 59. Let b(i) = -i**3 + 5*i**2 - 5*i + 14. What is the remainder when b(4) is divided by q(-7)?
1
Calculate the remainder when (18/(-3))/1*174/(-18) is divided by 27/(-6)*20/(-3).
28
Let k = -6099 - -6114. What is the remainder when 270 is divided by k?
0
Suppose 9*t - 510 = 4*t. Let y be 194/1067 - (-1)/((-11)/(-18302)). Calculate the remainder when t is divided by (-2)/6 + y/78.
18
What is the remainder when 1166 is divided by (-21)/49 - (2 - 2784/28)?
2
Suppose 0 = 3*v - j - 1179, -14*v - 10*j = -12*v - 786. Calculate the remainder when v is divided by 22.
19
Let f(s) = -12*s**3 - 89*s**2 - 50*s - 59. Let w = 258 + -75. What is the remainder when w is divided by f(-7)?
45
Let u(s) = -2*s**2 - 64*s + 94. Suppose -37*o + 22*o = 495. Calculate the remainder when 417 is divided by u(o).
25
Let i = 82 + -46. Let p = 84 - i. What is the remainder when (-6)/((-57)/p - -1) is divided by 5?
2
Let s(h) = -2*h**3 - 65*h**2 - 8*h - 911. Calculate the remainder when 1006 is divided by s(-33).
122
Let v = -5547 + 5611. Calculate the remainder when 1340 is divided by v.
60
Let i = 7 + 14. Suppose 0 = -5*b + 2*d + 16, -4 = -5*b + 3*d - 5*d. Calculate the remainder when ((-183)/b)/(84/(-56)) is divided by i.
19
Let v be 24/60*145/2. Suppose -22*j = -v*j + 112. Let r = 143 + -82. What is the remainder when r is divided by j?
13
What is the remainder when 2/((-41)/((-119966)/28)) is divided by 205?
4
Let k = -2 + 7. Suppose h - 5*u = 22, -4*h - 3*u - 81 + 100 = 0. Calculate the remainder when h is divided by k.
2
Let y(o) = 10*o**2 - 2*o - 5. Suppose 7*q + 954 = 2*g + 9*q, -g + 5*q + 441 = 0. What is the remainder when g is divided by y(3)?
76
Let p = -654 + 1084. What is the remainder when p is divided by 161?
108
Suppose 2*i - a - 113 = -13, a = -3*i + 150. Calculate the remainder when 283 is divided by i.
33
Let h(a) = 33*a + 1476. What is the remainder when 2427 is divided by h(-42)?
87
Suppose o - 2*g - 96 = -92, 2*o = 2*g + 8. Calculate the remainder when 30 is divided by o.
2
Suppose 4*q = 61 + 15. Let g = -3 + -100. Let d = g + 178. Calculate the remainder when d is divided by q.
18
Suppose 2*t = 5*z + 314, -5*t - z - 4*z + 750 = 0. Suppose 16*x = -3*x + t. Calculate the remainder when x is divided by 4.
0
Suppose -18 = -6*d + 84. Let h = -1022 + 1120. Calculate the remainder when h is divided by d.
13
Let p be (-19)/(-4) + 12/(-16). Suppose 201 = p*s + 101. What is the remainder when 32 is divided by s?
7
Suppose 5*n + 12 = 4*p - 7, -2*p + 10 = -2*n. Suppose -d + 40 = -p*d. Let k(a) = -5*a + 16. What is the remainder when k(d) is divided by 29?
27
What is the remainder when 101 is divided by (0 + -21)*-30*12*13/1092?
11
Let d(r) be the second derivative of 7*r**3/6 + r**2/2 - 92*r - 2. Let j = 1 + 0. What is the remainder when 36 is divided by d(j)?
4
Suppose 84*u - 36*u - 24432 = 0. What is the remainder when u is divided by 28?
5
Let m = 62 - 56. Suppose 2*f = -z + 7*f + 45, f = 5*z - 105. Calculate the remainder when z is divided by m.
2
Let c(a) = -7*a**2 - 4*a + 5. Let w be 33/22 - (11/2 - 1). Let p be c(w). Let r = p - -83. What is the remainder when r is divided by 11?
4
Let i(k) = -115*k + 1798. What is the remainder when i(15) is divided by 23?
4
Suppose 3*x - 1 + 4 = 0, -5 = -5*s + 5*x. Suppose 4 = -2*p - s*p. What is the remainder when 65 is divided by p*(18 - -4)/(-2)?
21
Let y = 446 + -385. Suppose -56*t + y*t - 40 = 0. What is the remainder when 119 is divided by t?
7
Let i be 208/80 - (-6)/(-10). Suppose 85 = i*u + 1. Calculate the remainder when u is divided by 16.
10
Let i(f) = 2*f**3 + 46*f**2 - 18*f - 6. What is the remainder when 825 is divided by i(-23)?
9
Suppose 4347 - 4815 = -18*b. Suppose 2*a = -o - 2*o - 407, 2*a - 5*o + 399 = 0. Let x = a + 330. Calculate the remainder when x is divided by b.
24
Suppose -5*v - 3117 = -3*c + 2363, 5*v + 5475 = 2*c. Let d = 1094 + v. Let f(h) = h**2 - 3*h - 6. Calculate the remainder when f(5) is divided by d.
0
Let f(c) = 90*c - 1727. What is the remainder when f(23) is divided by 173?
170
Let f(z) = z**3 + 17*z**2 - 2*z - 31. Let y be f(-17). What is the remainder when 6 + 43 - (-2)/((-2)/y) is divided by 7?
4
Let y = 132 - 137. Let x(z) = 3*z**2 + 2*z - 6. Calculate the remainder when x(y) is divided by 12.
11
Suppose 0 = 3*q - 95*x + 91*x - 222, 2*x + 76 = q. Let o = 2 + 4. Calculate the remainder when q is divided by o.
4
Let c = 137 + -144. Let b(j) = -j. Let h(t) = -t**2 - 2*t + 13. Let p(a) = 6*b(a) + h(a). Calculate the remainder when 99 is divided by p(c).
19
Let s(v) = -25*v - 9. Let r be s(-1). Suppose 0 = -u + 254 - r. What is the remainder when u is divided by 27?
22
Let y(a) = a**3 - 20*a**2 - 67*a - 43. Let q(t) = -t**2 + 10*t + 20. Calculate the remainder when q(7) is divided by y(23).
2
Suppose -1157 = -24*g + 11*g. Let z = g + -55. What is the remainder when 110 is divided by z?
8
Let l = -14609 - -45408. Calculate the remainder when l is divided by 20.
19
Let p(m) = 4*m