inder when x is divided by 12.
9
Let m(c) = 3*c**3 - 3*c - 2. Let t be m(-1). Let o = 11 - t. Let r(p) = p**3 + 10*p**2 - 24*p + 8. What is the remainder when o is divided by r(-12)?
5
Suppose -3*y + 5*y + 5*m = 17, y + 3*m = 9. Let j be ((-15)/y)/(3/(-6)). Suppose -13 - 222 = -j*w. Calculate the remainder when w is divided by 16.
15
Suppose -28370 = -58*y + 862. What is the remainder when y is divided by 86?
74
Suppose 16*s + 459 = 33*s. Let l = 38 - -66. Calculate the remainder when l is divided by s.
23
Suppose 2*g - 5 = 3*n, 0*n - 2*n = 4*g - 18. Suppose g*v = -4*m + 260, -301 = -3*v - m - 108. Calculate the remainder when v is divided by (220/5)/4*1.
9
Suppose -37*s + 9*s = -183904. What is the remainder when s is divided by 146?
144
Suppose z = 3*z - 30. Suppose -12*m = 5*m. Suppose 3*b + t - 224 = m, -2*b + 161 - 30 = -3*t. What is the remainder when b is divided by z?
13
Let i = -160 - -152. Let j(w) = -w**2 - 13*w + 11. What is the remainder when j(i) is divided by 5?
1
Suppose -61*s + 6338 = 1641. What is the remainder when s is divided by 15?
2
Let a(u) = u**3 + 26*u**2 - 27*u + 30. Let o(l) = l**2 + 9*l - 11. Let q be (-42)/(5 - 2)*1. Calculate the remainder when o(q) is divided by a(-27).
29
Suppose k - 424 = 2*w, 3*k + 56*w = 61*w + 1267. Calculate the remainder when k is divided by (1 + 0)/(-2)*-26.
11
Calculate the remainder when -6*(-130)/39*(-172)/(-5) is divided by 138.
136
Suppose 14*g + 16242 - 89040 = 3*g. What is the remainder when g is divided by 20?
18
Suppose 2*h - 1262 = -a + 3*h, a - 1268 = 4*h. Suppose -7*k + 14*k - a = 0. What is the remainder when k is divided by 27?
18
Let d(p) = 7*p**2 - p + 2. Suppose 8 = 5*h + 3. Calculate the remainder when 70 is divided by d(h).
6
Suppose -2*b = -4*b + 4. Calculate the remainder when 149 is divided by (1/b)/((-13)/(-260)).
9
Let c(s) = -s**3 - 5*s**2 + 3*s. Let w be c(-3). Let o = w - -34. What is the remainder when 137 is divided by o?
4
Let k = 8644 - 8631. What is the remainder when 1401 is divided by k?
10
Let w = 56 - 53. Let x(t) = 3*t**3 + 14 - t**3 - t**w. Calculate the remainder when 25 is divided by x(0).
11
Let q = 37 + -17. Suppose -12 = 100*j - 104*j. Suppose -j*k + q = -k. Calculate the remainder when 35 is divided by k.
5
Suppose 27*h = 26*h - 5*k + 65, 3*k + 73 = h. Suppose 5*c - 246 = 9. Suppose -58 = -3*l + a, 5*l - 148 = 2*a - c. What is the remainder when h is divided by l?
13
Let l(s) = -s**2 + 15*s + 995. Let g be l(0). Suppose 10*i = g - 255. What is the remainder when i is divided by 4?
2
Suppose 0 = d - 64 - 11. Suppose 3*h - d = -0*h. Suppose -4*p = -2*g - 148, 2*g + 65 - h = p. What is the remainder when p is divided by 10?
6
What is the remainder when (-4)/(-48) + ((-1833390)/(-216) - 6) is divided by 2824?
10
Suppose -25*j - 89*f = -94*f - 3955, 2*j - 5*f = 390. Suppose 2*w + w - 105 = 0. What is the remainder when j is divided by w?
15
Suppose -q + 4881 = 2*b - 1587, 4 = q. What is the remainder when b is divided by 77?
75
Let v(b) = -b**2 + 8*b - 6. Suppose -4*g + 18 = -3*g. Suppose 4*k = k + g. What is the remainder when 15 is divided by v(k)?
3
Let r = 98 - 73. Let p(s) be the third derivative of -7*s**4/12 + 7*s**3/6 - 18*s**2. What is the remainder when p(-3) is divided by r?
24
Suppose 0 = -563*p + 676*p - 18984. Calculate the remainder when p is divided by 11.
3
Calculate the remainder when 1518 is divided by 7 + 1121/(-152) - (-1355)/8.
166
Let b = 5154 - 5145. Let v be (-4)/(-3) - 6/(-9). What is the remainder when -2 + v + 25 - -1 is divided by b?
8
Calculate the remainder when 121 is divided by 21 + (6 - 9 - 3 - (-4 + 4)).
1
Calculate the remainder when 140*54/12 + -2 is divided by 164.
136
Let l = -6507 - -6614. What is the remainder when 1181 is divided by l?
4
Suppose 4*t = 5*i + 120, 0*i - 3*i = 0. Let c = -18027 - -18084. What is the remainder when c is divided by t?
27
Let i(r) = 16*r**2 + 136*r + 273. What is the remainder when i(-2) is divided by 14?
9
What is the remainder when 25075 is divided by (13 + 448/(-35))/((-387)/195 + 2)?
11
Suppose -3*c + 197 = 2*k + 9, c - 5*k = 23. What is the remainder when 285 is divided by c?
53
Let x(w) = -138*w**3 + 3*w**2 - 109*w - 111. Calculate the remainder when 12926 is divided by x(-1).
138
Let q = -2658 + 2757. Calculate the remainder when q is divided by 72.
27
Let a(z) be the third derivative of z**6/120 + 7*z**5/15 - 21*z**4/8 - 12*z**3 - z**2 - 11*z. What is the remainder when a(-30) is divided by 3?
0
Let i = -1611 + 2266. Suppose -5*f = -5*c + i, -4*c = -2*c + f - 256. What is the remainder when c is divided by 13?
12
Let z(n) = -2*n**2 - 8*n - 4. Let s be z(-5). Let r = 21 - -18. Calculate the remainder when r is divided by ((-20)/s)/(3/21).
9
Let o(a) = 211*a + 217*a - 432*a + a**2 - 6. What is the remainder when 107 is divided by o(-6)?
53
Let i = -35 - -113. Let u = 1 - -21. Calculate the remainder when u is divided by (-3)/(-9)*i/2.
9
Suppose 2*c - 190 = -s, 1143*c + 5*s = 1141*c + 198. What is the remainder when 4979 is divided by c?
91
Let a(x) = -x**2 - 127*x - 2205. What is the remainder when 3173 is divided by a(-104)?
181
Let v = -87 - -51. What is the remainder when (-4)/(-6) - 2748/v is divided by 42?
35
Let t(w) = -21*w**2 - 2*w + 4. Let f be t(2). Let n = 91 + f. Suppose 407 = n*j + 57. What is the remainder when 247 is divided by j?
47
Let y(d) = -d**3 - d**2 + 7*d + 6. Suppose 5*i - i + 24 = 0. What is the remainder when y(i) is divided by 37?
33
Let x(r) be the first derivative of 18*r**2 + 33*r + 61. Calculate the remainder when x(8) is divided by 12.
9
Let c(a) = -2*a**3 - 23*a**2 + 12*a + 6. Let n be c(-12). Suppose -n*i + 57 = -69. Calculate the remainder when ((-1504)/(-20))/(2/5) is divided by i.
20
Let w = -138 + 299. Let x = 207 - w. What is the remainder when 177 is divided by x?
39
Let h(t) = t**3 - 10*t**2 + 14*t + 14. Let f be h(12). Let q = f + -468. What is the remainder when 2 is divided by q?
0
Let t(v) = -24*v**2 + 316*v - 18. Calculate the remainder when t(9) is divided by 72.
18
Let g be (3/6 - 1)*-2. Let a be (-5 - -3)*(g + -2). Calculate the remainder when 34 is divided by ((-1)/(-2))/(a/28).
6
Let r(c) = 9*c - 2. Let z be r(1). Let k(m) = m + 20*m**3 + 0 - m**2 + 4 - 22*m**3 - z. Calculate the remainder when k(-3) is divided by 7.
4
Let u(t) = -t + 22. Let b = -66 + 67. Suppose h - b = 1, 5*s - 133 = -4*h. What is the remainder when s is divided by u(15)?
4
Let i = -218 - -219. Let v = -179 - -183. Calculate the remainder when v is divided by i.
0
Let s(w) be the second derivative of 1/2*w**4 - 6*w + 29/2*w**2 - 13/6*w**3 + 0. What is the remainder when s(6) is divided by 24?
23
Suppose -5*c - 232 = 243. Let b = c + 122. Calculate the remainder when b is divided by (-3 + 11)*(2 - 0).
11
What is the remainder when 1026 is divided by (37 - -11)/(6/4) - -5?
27
Suppose 4*k = -2*n + 172 - 14, 0 = -n + 4*k + 103. Suppose 8 = f - 29. What is the remainder when n is divided by f?
13
Let w(m) = 32*m**3 - 2*m**2 - 2*m + 3. Suppose 0 = -2*q + 17*q - 1380. What is the remainder when q is divided by w(1)?
30
Let a = -259 - -512. Suppose 4*f + 7*f = a. What is the remainder when f is divided by 3?
2
Suppose -4*a - 5*g = -179, 2*a + g = -4*g + 97. Calculate the remainder when a is divided by 29.
12
Let h(d) = d + 66. Suppose -330*z + 119*z = -126*z - 67065. Calculate the remainder when z is divided by h(0).
63
Suppose 5*h = -5*x + 65, 2*h + 3*h + 15 = 3*x. What is the remainder when 293/3 + 248/186 is divided by x?
9
Let l(v) = -17*v - 25*v**2 - 7 + v**3 - 3*v**3 + 3*v**3 + 11*v**2. Let u be l(15). Let w = 68 + u. Calculate the remainder when 153 is divided by w.
29
Let a be 68/(-51)*(-9)/2. Calculate the remainder when 91 is divided by 3*a/(-27) - (-497)/21.
22
Let a be (3/1 - 4)*-12. Let s = a - 3. Let t = s + 16. Calculate the remainder when t is divided by 14.
11
Let t(x) = -8*x + 107. What is the remainder when (-2)/((-30)/85)*9 is divided by t(11)?
13
Suppose -27202 = -14*v - 44*v. What is the remainder when v is divided by 113?
17
Let r = 3794 - 2560. Calculate the remainder when r is divided by 40.
34
Calculate the remainder when (-28)/(-196)*-14 - 34641/((-1)/1) is divided by 27.
25
Suppose 7 = -7*q + 35. Let x be q/18 + 920/72. Suppose -1