 the remainder when 23 is divided by t.
11
Let z = 540 + -448. What is the remainder when 359 is divided by z?
83
Suppose 99 = 4*z - 61. Suppose -4*v - 2*c = -84, -8*v + 21 = -7*v + 4*c. What is the remainder when z is divided by v?
19
Suppose 0 = 3*d - 7*d + 16. Suppose -m + d = -5. Suppose 3*j - m = 63. Calculate the remainder when 94 is divided by j.
22
Suppose u - 236 = -i - 49, 5*i - 934 = -4*u. Calculate the remainder when i is divided by 70.
46
Suppose -89*i + 42300 = 5*i. Calculate the remainder when i is divided by 41.
40
Suppose 31*q - 1961 = 457. Calculate the remainder when q is divided by 63.
15
Let z = 138 + -89. Calculate the remainder when z is divided by (-465)/(-35) + (-4)/14.
10
Suppose 7*q = l + q - 70, 4*l = -4*q + 252. Suppose 0*z + 3*z - 51 = 3*w, -4*w + 58 = 2*z. What is the remainder when l is divided by z?
1
Let w = -1 + 2. Suppose -3 + w = -2*i. Let g(u) = -2*u**2 - 27*u - 10. Calculate the remainder when g(-13) is divided by i.
0
What is the remainder when ((-33)/39 + (-6)/39)*-25 is divided by 5?
0
Let y(d) = -11*d**2 + 46*d. What is the remainder when 373 is divided by y(4)?
5
Suppose -4*h - 239 = -3*m, 3*m - 2*h - 97 = 150. Calculate the remainder when 339 is divided by m.
84
Let t(u) = u**3 - 8*u**2 + 2*u - 12. Let q be ((-3)/(-9))/((-5)/(-240)). Suppose 8*m - q = 6*m. What is the remainder when 6 is divided by t(m)?
2
Suppose 5*w + 4*m - 357 = 0, -3*w - m - 294 = -7*w. Calculate the remainder when 195 is divided by w.
49
Let i = -1281 + 2896. What is the remainder when i is divided by 7?
5
Let n(f) = -24*f + 375. What is the remainder when 75 is divided by n(15)?
0
Let u = 34 + -37. What is the remainder when (u - 0) + 5 + 5 is divided by 3?
1
Suppose -k = 4*q - 29, -q - 44 - 23 = -2*k. Calculate the remainder when 152 is divided by k.
20
Calculate the remainder when 15/(900/1065) - (-2)/8 is divided by 2.
0
Suppose -6*w + 46 = -32. What is the remainder when 1076 is divided by w?
10
Suppose w + 5*b = -4*w + 140, 5*w - 168 = 2*b. Suppose 0 = 3*t - 42 - 12. What is the remainder when w is divided by t?
14
Let y(p) = -p**3 + 34*p**2 - 91*p - 39. What is the remainder when 274 is divided by y(31)?
21
Suppose -10 = -i - 2. Suppose -i = 3*m - 35. Let z(l) = -l**2 + 13*l - 18. What is the remainder when z(6) is divided by m?
6
Let u(z) = 2*z**2 + 8*z - 87. Calculate the remainder when 192 is divided by u(6).
27
Suppose 0 = -4*c + 3*c + 2*x + 7, -c + x = -12. Suppose -3*t - 147 = -6*t. Calculate the remainder when t is divided by c.
15
Let w be 4*2*(-45)/(-40). Suppose j - s - 9 - w = 0, 27 = 4*j + 5*s. Calculate the remainder when 24 is divided by j.
11
Calculate the remainder when 260 is divided by 32 - ((-4 - -5)*-2 + 5).
28
What is the remainder when 379 - (-5 + (4 - (-1 + -1))) is divided by 5?
3
Let j = 192 - 274. Let t = -68 - j. What is the remainder when 398/10 + 1/5 is divided by t?
12
Suppose 8 = -4*p, -4*c - 5*p - 133 = -c. Let n = -24 - c. Calculate the remainder when n is divided by 5.
2
Let z(g) = 3*g + 2*g**3 - g - 1 + 5*g**2 - 3*g**2. Calculate the remainder when z(2) is divided by 15.
12
Let n = 44 - -33. Calculate the remainder when 692 is divided by n.
76
Suppose 132*c - 119*c = 169. Calculate the remainder when -51*(-3)/(2 + 1) is divided by c.
12
Let y = -3 - -12. Let p = -10 + y. Let g = 6 + p. What is the remainder when g is divided by 2?
1
Let z = 432 + -392. Calculate the remainder when 1238 is divided by z.
38
Let i(a) = -125*a - 535. What is the remainder when i(-6) is divided by 17?
11
Let h(g) = 3*g**2 + 9*g + 8. Let p be h(7). Let v = p + -120. What is the remainder when v is divided by ((-50)/3)/(1 - (-25)/(-15))?
23
Let j = 292 - 280. Let h(x) be the second derivative of -17*x**5/10 - x**4/12 + x**3/6 + x**2/2 - 3*x. Calculate the remainder when h(-1) is divided by j.
9
Let q = -20 + 54. Suppose 2*h - 2*z - 10 = 0, h + 4*z - 2*z - 5 = 0. What is the remainder when q is divided by h?
4
Let o(v) = 3*v - 7. Let r be o(3). Suppose 0*i + t + 3 = 2*i, -4 = -4*t. Suppose -r*f - i + 16 = 0. Calculate the remainder when 13 is divided by f.
6
Let z be -3*3*16/36. What is the remainder when 35 is divided by (-19)/z*(6 - 2)?
16
Let m = 1759 + -1638. Calculate the remainder when m is divided by 19.
7
Let c(k) = k**2 + 4*k + 3. Suppose 3*s + 4*n = -26, s = 2*n - 3*n - 8. What is the remainder when ((-176)/(-5))/4*5 is divided by c(s)?
14
Suppose -4*b + 276 = 5*d, -15*d + 4*b = -10*d - 244. What is the remainder when d is divided by -27*(-2*1)/2?
25
Let o(i) = 3*i**2 + 29*i - 45. Calculate the remainder when o(-27) is divided by 47.
43
Let b(x) = -2*x**3 + 9*x**2 - 4*x - 7. Let q be b(6). Let f = -86 - q. Let p(s) = -5*s - 6. What is the remainder when f is divided by p(-4)?
11
Let r(j) = -j**3 + 38*j**2 - 73*j + 43. What is the remainder when 96 is divided by r(36)?
5
Let s(i) = i**2 + 8*i - 12. Let d = -1 + -8. Let n be s(d). What is the remainder when ((-14)/n)/((-3)/(-9)) is divided by 8?
6
Calculate the remainder when -390*11/(-55)*5/2 is divided by 102.
93
Let r = -30 - -39. Suppose k + 4*d = 30 - 5, 0 = -3*d + r. What is the remainder when 24 is divided by k?
11
Let t be 1*(0 + 1) - -1. Let m(l) = -2*l**2. Let g be m(0). Suppose h - t*h + 16 = g. Calculate the remainder when 31 is divided by h.
15
Let i(y) = y**2 + 10*y - 12. Suppose -4*g + 16 + 16 = 0. Calculate the remainder when i(-13) is divided by g.
3
Let h(x) = 4*x**3 - 44*x**2 + 4. Let t be 1 + -1*(-2 + 3). Suppose 5*f - 5*r - 70 = t, 7*f - 4*r = 4*f + 45. What is the remainder when f is divided by h(11)?
3
Suppose 0*g - 4*x + 27 = g, 0 = -4*g + x + 23. Suppose g*h = -3*h + 120. Calculate the remainder when 34 is divided by h.
10
Let l(s) = s**2 + 3*s - 2. Let o be l(-4). Calculate the remainder when 6 is divided by (o/11)/(5/55).
0
Let t = -50 - -60. Suppose -4*y + 2 = -t. What is the remainder when 5 is divided by y?
2
Let f(y) = y**2 + 6*y - 5. Let z = 12 + -19. Let d be f(z). Suppose d*a + 0*a - 14 = 2*i, -2*i + 52 = 4*a. Calculate the remainder when 30 is divided by a.
8
Let p(u) = u**3 - 2*u**2 + 7*u + 18. Calculate the remainder when 66 is divided by p(0).
12
Let v = 278 + -275. Suppose 0*p + 5*p - 15 = 0. Calculate the remainder when v is divided by p.
0
Suppose -9 = -4*u - 3*v, 5*u + 2 - 21 = 4*v. What is the remainder when 19 is divided by u?
1
Suppose 5987 = -3*v + 7196. What is the remainder when v is divided by 99?
7
Let c be 4 - 3/((-15)/(-10)). Suppose -p = 5*r - c*p - 11, -r - 3*p - 1 = 0. Suppose i - 303 = -r*i. Calculate the remainder when i is divided by 26.
23
Let u(n) be the second derivative of n**4/12 + 3*n**3/2 - n**2/2 + 7*n. What is the remainder when u(-13) is divided by 11?
7
Suppose -24 = 38*z - 42*z. Let m = -2 + 21. What is the remainder when m is divided by z?
1
Let q(f) = -f + 3. Let v be q(0). Suppose 4*g - 12 = 4. Suppose 0*r - 4*r + 54 = v*m, 0 = 3*r + g*m - 44. Calculate the remainder when 23 is divided by r.
11
What is the remainder when -5 + 80/(-2 + 7) is divided by 4?
3
Let x(i) = 18*i**2 - 3*i + 1. Let m be x(1). Suppose 0 = d + m - 23. Suppose -4*w + 2*t + 10 = 0, -t + 2 = 3. Calculate the remainder when d is divided by w.
1
Suppose 0 = 7*l + 2 - 23. Suppose f = -l*f + 12. Calculate the remainder when 6 is divided by f.
0
Suppose 15 = -4*l + 43. Suppose -5*b + 14*b - 36 = 0. Calculate the remainder when l is divided by b.
3
Suppose -51*m + 6508 + 4712 = 0. Calculate the remainder when m is divided by 8.
4
Suppose -23*p - 161 = -3105. Calculate the remainder when p is divided by 10.
8
Let n = -187 - -248. Calculate the remainder when n is divided by 24.
13
Calculate the remainder when 229 is divided by -2 + -2 + (-11)/(33/(-42)).
9
Suppose -1367*j = -1380*j + 1131. Calculate the remainder when 333 is divided by j.
72
Let x = 2 - -1. Suppose -90*p + 2194 + 1946 = 0. Calculate the remainder when p is divided by x.
1
Let c(u) = u**3 - 7*u**2 + 8*u + 2. What is the remainder when (-6)/15 - (-414)/10 is divided by c(6)?
13
Let l be (-18)/4*(-52)/39. Let m(u) = 20*u - 10. Calculate the remainder when m(l) is divided by 28.
26
Let z be (-20)/(-6) - (-2)/3. Suppose z*q = 166 - 54. What is the remainder when q is divided by (-2)/(-15) - (-892)/60?
13
Let d = -14 - -16. Suppose -4*i + 4*q = -48, 4 =