22
Let k(t) = 35*t - 2502. Calculate the remainder when k(76) is divided by 30.
8
Suppose 5*b = -1 + 6. Calculate the remainder when (2 - (-6 - -9))/(b/(-68)) is divided by (2/(-4))/(3/(-138)).
22
Calculate the remainder when (12/8 + 2)*-2 + (8 - -3966) is divided by 29.
23
Let m = 66154 - 66117. Let c(d) = d**3 - 8*d**2 + 7*d + 6. Calculate the remainder when m is divided by c(7).
1
Let m be 12/24*(-5)/(5/(-74)). Let s = 43 - m. Suppose 0 = 5*t - 5*d - 90, -3*t + 2*d = -29 - 30. What is the remainder when t is divided by s?
5
Let g(z) = 12*z**2 + 22*z - 85. Calculate the remainder when 8481 is divided by g(2).
4
Suppose -242 = -22*w + 259 + 797. Calculate the remainder when 471 is divided by w.
58
Suppose x - 22 = -5*k, 0 = -2*x + 20*k - 16*k - 12. Calculate the remainder when 1600 is divided by x.
0
Suppose -s - 2*u + 12 = 0, u = -3*s - 3*u + 38. Let o(a) = -a**2 + 28*a + 470. Calculate the remainder when o(39) is divided by 192/s + 6/21.
13
Let l(y) = 32 + 16 - 25*y - 27 + 15. What is the remainder when l(-4) is divided by 13?
6
Let g be -207*(0 + (-24)/(-18)). Let k(r) = 4*r - 3. Let c be k(1). What is the remainder when ((6/4)/c)/((-9)/g) is divided by 7?
4
Let g(w) = w**3 + 13*w**2 - 8*w - 3. Let t be g(-6). Let l = t + -249. Calculate the remainder when 141 is divided by l.
45
Suppose 2*v - 1925 = -4*h + 1497, -2*h = 5*v - 8579. Calculate the remainder when v is divided by 21.
16
Let t = -3954 - -3990. Calculate the remainder when 1042 is divided by t.
34
Let f be 0*4/(-20)*3/6. Suppose -124*r + k = -123*r - 17, f = 2*r - 4*k - 30. Calculate the remainder when r is divided by 6.
1
Let n(o) = o**3 - 6*o**2 + 6*o - 9. Let r = 17 + -11. Let z be n(r). Let f = 35 - z. Calculate the remainder when f is divided by 4.
0
What is the remainder when 516/((567/36)/21) is divided by 227?
7
Suppose 5*r = c - 2*c + 10, -2*c = 3*r - 6. Suppose 0 = r*f + 10, 2*f = -3*a - 30 + 83. Calculate the remainder when 62 is divided by a.
20
Suppose 2 - 286 = -3*a - 2*j, -4*j = 5*a - 474. Calculate the remainder when a is divided by -183*(2/(-3) - (-7)/21).
33
Let w = 100 + -38. Let v = -4087 + 4105. Let f = w - v. Calculate the remainder when 86 is divided by f.
42
Suppose -y + 67 = -2*s, -257 + 16 = -3*y - 4*s. Calculate the remainder when 40 is divided by 1/(56/(-42) + 103/y).
15
Suppose 0 = -b - 4*c + 44, -4*c + 0*c - 40 = -2*b. Suppose 8*d = -b + 76. What is the remainder when 87 is divided by d?
3
Let x(b) = 14*b**2 + 363*b - 199. What is the remainder when x(-28) is divided by 157?
142
Suppose -46 = -2*t - 4*w, -5*w + 1 + 7 = t. Let d = -84 - -142. What is the remainder when d is divided by t?
25
Suppose f - 8 = -f. Let r be -60*(1/(-2))/(13 + -12). Suppose r*z + 8 = 34*z. Calculate the remainder when f is divided by z.
0
What is the remainder when (-508 + -2)*((-40)/12 - -2) is divided by 25?
5
Suppose 13*j + 17*j - 1260 = -6*j. What is the remainder when 84 is divided by j?
14
Let d be 3*(-6)/((-72)/172). Let s = d - 40. Suppose -i - c = 2*i - 121, 5*i + s*c - 203 = 0. Calculate the remainder when i is divided by 11.
7
Let m(v) = -v**3 - 10*v**2 - 10*v - 3. Let q be m(-9). Let p be -259*((-10)/q + 6/9). Let y = p + -112. Calculate the remainder when y is divided by 38.
33
Let f = 127 + -123. Suppose 10*b - 1512 = -f*b. Calculate the remainder when b is divided by 23.
16
Let p(n) = 166*n. Let b = -4028 - -4040. Calculate the remainder when p(1) is divided by b.
10
Let r = 109 + -104. Suppose -r*n + l = 4*l - 632, 3*n - 356 = 4*l. What is the remainder when n is divided by 21?
19
Suppose 53*b = -6530 + 37641. What is the remainder when 1778 is divided by b?
17
Let j = 1204 + 97. Let t(c) = 48*c**2 + 41*c + 14. Calculate the remainder when j is divided by t(-1).
20
Let p = -33 + 41. Let c(t) = -t**3 + 8*t**2 + 2*t + 7. What is the remainder when c(p) is divided by 8?
7
Suppose 2*x - 8 = -4*l - 2, -5*x = -4*l + 13. Suppose -2*a + l*u = -3*u - 349, -4*u + 768 = 4*a. What is the remainder when a is divided by 19?
16
Let c(f) = 2*f**3 - 3*f**2 - 107*f + 104. What is the remainder when c(18) is divided by 18?
14
Let k(u) = u**2 - 2*u - 6. Suppose -941 = 316*s - 48743 - 19822. Calculate the remainder when s is divided by k(6).
16
Let f(w) = 2*w + 28. Let u be f(1). Suppose -2*o - d = 4*d - u, -o = -4*d - 41. Calculate the remainder when o is divided by 3.
1
Suppose 519 = 3*l - 4*n - 353, l = 3*n + 289. Let h = 301 - l. What is the remainder when h is divided by 6?
3
Let o = -378 + 390. Suppose -3*a + 233 = o*g - 8*g, -162 = -2*a - g. Calculate the remainder when a is divided by 5.
3
Let m(c) be the second derivative of 19*c**4/4 - c**3/2 + c**2 - 16*c + 1. What is the remainder when m(1) is divided by 19?
18
Let d = -9568 + 9649. What is the remainder when 200 is divided by d?
38
Suppose -m + 4*h = 42 + 202, 5*m = -h - 1262. Calculate the remainder when 125 is divided by 2/((-6)/14 + (-129)/m).
5
Let f(s) = -s**2 + 9*s - 16. Let j be f(4). Suppose -4*v + 960 = -4*h, -4*v - j*h = -2*h - 936. Calculate the remainder when v is divided by 20.
16
Let q(n) = -n**2 - 15*n - 27. Let g be q(-10). Let m = 41 - g. Let h = m - 13. What is the remainder when h is divided by 4?
1
Calculate the remainder when (370/(-3) + -2)/(7*(-26)/273) is divided by 27.
26
Let j = -1575 + 1592. What is the remainder when -40*2/4*-2 is divided by j?
6
Suppose 0 = -2*p + 3*j + 71, 0 = -p + 2*p + 4*j - 63. Suppose -3*b - 14 = -20. What is the remainder when p is divided by b?
1
Let u = 2 + 3. Suppose -u*j + 100 = -120. Let l = -3056 - -3079. Calculate the remainder when j is divided by l.
21
Let g = 13808 - 13710. Calculate the remainder when g is divided by 48.
2
Let w(b) = b**3 + 3*b**2 - 4. Let a be w(-3). Let s(t) = 3*t**2 + 2*t + 29. Calculate the remainder when s(a) is divided by 18.
15
Let i = -409 + 587. Suppose g - i = 159. What is the remainder when g is divided by 34?
31
Let h(l) = -l**3 + 4*l**2 + 4*l + 7. Let y be h(5). Suppose y*f = -j + 21 + 27, 0 = -3*j + 12. What is the remainder when 30 is divided by f?
8
Let r be (56/(-40))/(-1 - (-12)/15). Suppose 0 = -2*o - r + 375. What is the remainder when o is divided by 47?
43
Let i be 2 - ((-1)/(-1) - 2). Suppose -v + i + 4 = 0. Suppose -135 = -232*o + 2086 + 331. Calculate the remainder when o is divided by v.
4
Suppose 3212 = 3*m - 5*d, -2*m + d = -1674 - 472. What is the remainder when m is divided by 24?
18
Let o(j) = 68*j**3 - 2*j**2 + 1. Let q be o(1). Let x = -451 + 457. Suppose -x*h + q = -29. Calculate the remainder when 94 is divided by h.
14
Suppose 5*z = -5*q - 20, -4*q + 3*z + 22 - 3 = 0. What is the remainder when (-2880)/(-108) + q/3 is divided by 17?
10
Calculate the remainder when (-253476)/42*49/(-14) is divided by 325.
323
Suppose 0 = 2*q + 3*q - 65. Let f be (-36)/(-81) - (-4274)/(-18). Let x = f - -313. Calculate the remainder when x is divided by q.
11
Let m = -399 - -641. Let o = m + -131. What is the remainder when o is divided by 28?
27
Let f be ((-2)/4)/(((-2)/(-732))/1). Let p = -162 - f. Calculate the remainder when p is divided by 11.
10
Let w(t) = -1013*t - 929. Calculate the remainder when 685 is divided by w(-1).
13
Let l(k) = -11*k + 72. Suppose 2*s + 3 - 15 = 0. What is the remainder when 89 is divided by l(s)?
5
Let n = 51 - 47. Suppose 3*s - 5*k = 6 + 72, 0 = -n*s + 2*k + 118. Let r = -4 + s. Calculate the remainder when r is divided by 14.
13
Let u be (9/15)/(4/20) - 83. Suppose 2*d = -3*d - 40. Let l = d - u. What is the remainder when l is divided by 29?
14
Suppose -189 = -4*c + 3*g, 37*c + 2*g - 112 = 34*c. Calculate the remainder when 1342 is divided by c.
40
Suppose -3*t + 9 - 3 = 0. Let j(v) = -3 - 7 + v**3 + 4 - 13*v - 3*v**t + 14*v. What is the remainder when 26 is divided by j(4)?
12
Suppose -4*w + 6*w + 71 = 5*o, -w + 47 = 3*o. What is the remainder when 1108 is divided by o?
13
Let o = 281 + -277. Suppose -4*a - 32 = -o*w, 4*a - 21 - 7 = -w. Calculate the remainder when 33 is divided by w.
9
Let i = -10159 + 16494. Calculate the remainder when i is divided by 33.
32
Let j(o) = o**3 - 17*o**2 - 191*o + 3337. Let p = -99 + 248. Calculate the remainder when p is divided by j(14).
74
Suppose 6*x - 2*t - 465 = x, -5*x + 3*t + 470 = 0. Let l = x - 83. What is the remainder when 102 is div