emainder when o is divided by 45.
44
Let k(x) = 99*x**3 + 98*x**3 - 201*x**3 - 7 - 6*x. What is the remainder when 72 is divided by k(-2)?
35
Let c(f) = -3*f**2 + 11*f. Let x(z) = -z. Let q(s) = -c(s) - 6*x(s). Let g be q(-2). Suppose 1248 = -6*p + g*p. What is the remainder when p is divided by 16?
14
Let r(q) = 9*q + 12. Let s be r(-3). Let f = s + 18. Let d = 9 - f. What is the remainder when 22 is divided by d?
4
Let y be (-372)/(-4)*(-8)/(-24). Suppose 4*d - y = 5*q + 60, -4*q = -3*d + 69. What is the remainder when d is divided by 13?
6
Let z = 137 + 137. Suppose 2*j - z = 6*j - 2*c, -5*j + 4*c - 341 = 0. Let g = 91 + j. Calculate the remainder when 83 is divided by g.
17
Suppose -234 = -3*m - 27. Let n(t) = -13*t + 1033. What is the remainder when m is divided by n(77)?
5
Let o be ((-9)/(-12))/(3/(-12)). Let g be o/(-54)*-3 - 259/(-6). Let p = g - 28. Calculate the remainder when 73 is divided by p.
13
Suppose -448914 = -6*v - 40*v. What is the remainder when v is divided by 122?
121
Let w(q) be the third derivative of q**5/15 - q**4/8 + q**3/2 - 3*q**2. Let y be w(2). Suppose 192 = y*k - 133. Calculate the remainder when k is divided by 5.
0
Let q = 10 + 14. Let l(z) = 2*z**2 + 9*z. Let u be l(-5). Suppose -3*d - 2*v = -240 + 97, u*d + 2*v = 233. Calculate the remainder when d is divided by q.
21
What is the remainder when 178 is divided by (8/(-128))/((-2)/(-12)) + (-801)/(-24)?
13
Suppose 3579 = -24*d + 22827. Calculate the remainder when d is divided by 134.
132
Let x = 3659 - 3537. What is the remainder when 1231 is divided by x?
11
Let v(c) = 15*c + 890. Let p(f) = f**3 - 2*f**2 + 2*f - 8. What is the remainder when p(7) is divided by v(-58)?
11
Let k(o) = 76*o**2 - 8*o + 2. Calculate the remainder when k(3) is divided by 165.
2
Let k(z) = z + 3. Let i be k(-3). Suppose 0*d + 5*d - 3*l + 4 = i, -l = d + 4. Calculate the remainder when (5/10*d)/(2/(-8)) is divided by 4.
0
Let s(k) = -k**3 + 68*k**2 - 759*k + 185. Let o(g) = 6*g - 3 + 0*g - 2*g. Calculate the remainder when s(54) is divided by o(2).
3
Suppose -68 = -5*f - 4*u, -4 = f - 4*u - 8. Suppose 2*g - 3*i = 208 + 167, -5*i + 553 = 3*g. Calculate the remainder when g is divided by f.
6
Suppose 5*z - 9*z = 2*q + 4, -5*z = -2*q + 5. What is the remainder when 110/(23 - 16 - (-5)/z) is divided by 21 - 1 - 0/3?
15
Let a = -42 + 41. Let m be (-2)/(-1) + (-1 - a) + 50. Suppose 0 = -2*y + m - 18. Calculate the remainder when y is divided by 10.
7
Suppose -107*o + 3760 = -60*o. Calculate the remainder when o is divided by 6.
2
Let y be (-168)/72 + (-2)/3 - 117. What is the remainder when 7 - 2 - 2 - y/5 is divided by 7?
6
Suppose 4*t + 4*j - 24 = 12, -3*t + 3*j = -51. Suppose f - 155 = -g, -3*g + 4*f + 5814 - 5349 = 0. What is the remainder when g is divided by t?
12
Let g(y) = 128 + 2*y - 4*y - 11*y**3 + 10*y**3 + y**2. Calculate the remainder when g(0) is divided by 22.
18
Suppose 3*h = -4*m + 177, 0*m - 4*m - 263 = -5*h. Let q = h - 42. Suppose -9*a + 303 - 105 = 0. Calculate the remainder when a is divided by q.
9
Let v(w) = -467*w + 4694. Calculate the remainder when v(4) is divided by 703.
14
Let u(v) = 30*v**2 - 2*v + 10. What is the remainder when u(2) is divided by 9?
0
Suppose k = 4*l + 6, -4 = 3*k + 4*l - 5*l. Let v(z) = 16*z - 13. Let s be v(k). Let n = s - -86. What is the remainder when n is divided by 9?
5
What is the remainder when 12683 is divided by (168/30)/(2*(-2)/(-20))?
27
Let u = -26 + 69. Let f = -12469 + 12638. Calculate the remainder when f is divided by u.
40
Let p(z) = 942*z - 1873. Let m = 114 - 62. Calculate the remainder when m is divided by p(2).
8
Suppose 0 = -4*s + 4, 42 = -2*j + 2*s + 24. Calculate the remainder when 224 is divided by j - (-7)/(42/396).
50
Suppose 253 = 2*a - 611. Suppose -14*g + a = 2*g. Calculate the remainder when 296 is divided by g.
26
Suppose 0 = 17*z + 13*z - 2610. Let h(c) = c**3 + 6*c**2 + 5. Let y = 15 - 20. What is the remainder when z is divided by h(y)?
27
Let n(k) = -522*k + 524. Let b(r) = 2*r**2 - 8*r + 7. Calculate the remainder when b(5) is divided by n(1).
1
Let m(n) = 7*n**3 - 2*n**2 + 2*n. Let v be m(1). Suppose -5*j + 200 = k, -v*j + 5*j - 3*k = -67. What is the remainder when j is divided by 34?
7
Let c(v) be the first derivative of 7*v**3 - v**2 + 4*v - 6. Let j be c(-7). Suppose 6*r + 369 - j = 0. What is the remainder when r is divided by 29?
26
Let z(a) = a**3 + 23*a**2 - 24*a + 27. Suppose -4*j - 47 - 47 = -2*t, t + 121 = -5*j. Calculate the remainder when z(j) is divided by 15.
12
Calculate the remainder when 24/18 + 1496/12 is divided by 91.
35
Suppose 10*i = 96*i - 5194 - 5212. What is the remainder when 443 is divided by i?
80
Suppose 168*m = 167*m + 5*s + 1349, 5332 = 4*m - 4*s. What is the remainder when m is divided by 29?
24
Let t(d) = -411*d + 4154. What is the remainder when 1090 is divided by t(10)?
34
Suppose 2*j + 4*l - 334 = 0, -1305*l + 1301*l = -4. Calculate the remainder when 329 is divided by j.
164
Calculate the remainder when (-5 - -170)*(-4)/24*3*-22 is divided by 904.
7
Suppose -2*o - 9 = -3. Let f(u) = -110*u - 12. Let a be f(o). Suppose 238 + 214 = 4*h - 3*w, -3*h + a = 3*w. Calculate the remainder when h is divided by 28.
26
Let m = -3372 - -4269. Calculate the remainder when m is divided by 31.
29
Let b be 694/10 - 8/20. Let p = -48 - -52. Suppose -3*l + 51 = 3*k, -k = 5*l - p*k - b. What is the remainder when 73 is divided by l?
13
Suppose 5*w = -55 - 120. Let a = w + 52. Calculate the remainder when a is divided by 5.
2
Suppose 12*i - 25*i = -28210. Calculate the remainder when i is divided by 21.
7
Let i(b) = 4*b**3 - 8*b**2 + 11*b + 1. Calculate the remainder when 162 is divided by i(3).
22
Let l(m) = -m**3 - 25*m**2 - 30*m - 55. Calculate the remainder when 143 is divided by l(-24).
54
Let c = 35 + -8. Calculate the remainder when (234/(-27) + 8)*(0 + -279) is divided by c.
24
Let c be ((-24)/6)/1*-114. Suppose -3*m = 0, -4*m = -4*b - 0*b - c. Let s = -107 - b. Calculate the remainder when 18 is divided by s.
4
Let i = 21123 - 20971. What is the remainder when 422 is divided by i?
118
Suppose 162*n - 148629 - 1482813 = 852828. Calculate the remainder when n is divided by 24.
23
Let r be (6/126*-186)/((-3)/(-21)). Suppose -l - l = 96. Let y = l - r. Calculate the remainder when 80 is divided by y.
10
Let l = 645 - 45. Suppose -4*u + 6*r - r = -30, 2*u - 3*r = 16. Calculate the remainder when ((-4)/10)/(5/l*-2) is divided by u.
4
Suppose 4*z - 1162 = -2*n, 4*z + n - 4*n = 1137. Suppose 2*k + z = 5*k. Suppose 0*x - 8*x + k = 0. Calculate the remainder when 34 is divided by x.
10
Let u(r) = -21*r - 99. Let y(s) = 136*s + 644. Let a(k) = -32*u(k) - 5*y(k). What is the remainder when 297 is divided by a(-14)?
57
Let m = 17951 + -15509. What is the remainder when m is divided by 36?
30
Suppose k = 3*h + 14, -2*k + 3*k = -h - 2. Suppose k*d = 3*u + 4*d + 26, -14 = u - 2*d. What is the remainder when (-4)/u - 1602/(-45) is divided by 10?
6
Let k(b) = -b**2 + 14*b - 32. Let c be k(9). Suppose 2*n = -c*n + 705. What is the remainder when 54 is divided by n?
7
Suppose -17*v = -28*v + 231. What is the remainder when (-113)/(-3) + 2/6 is divided by v?
17
Let m(v) = -v**2 + 20*v - 20. Let y be m(11). Suppose 6 = 5*h - y. Calculate the remainder when 56 is divided by h.
5
Let v(o) = o**3 - 17*o**2 - 16*o + 3. Suppose -2*z + z + 18 = 0. Suppose 0 = 4*j + 31 - 115. Calculate the remainder when v(z) is divided by j.
18
Suppose -3195 = 10118*f - 10133*f. Calculate the remainder when f is divided by 18.
15
Let a = -59090 + 59208. Let w be ((-2 - -1) + 0)*-5. Suppose w*u = -2*y + 3*y + 148, 0 = 5*u + 3*y - 156. What is the remainder when a is divided by u?
28
Suppose -4*w + 2*c + 304 = 0, 3*c - 633 + 609 = 0. What is the remainder when 1417 is divided by w?
57
Suppose 344 = 5*c + 34. Let f = c + -61. Let o = 32 - f. Calculate the remainder when o is divided by 3.
1
Calculate the remainder when (21/6 - 0)/(1/318) is divided by 124.
121
Let l be -2 + 4 + (4 - 2). Suppose -l*s - 92 - 4 = 0. Let x(m) = m + 37. What is the remainder when 22 is divided by x(s)?
9
Let d be 0 - (3/(-9) + (-490)/6). Suppose 7*s + d = 362. Suppose -4*c + k + 480 = 0, -4*c + 4*k + 452 = -s. What is the remainder when c 