
12
Let o(b) = 3*b**2 - 7*b - 11. Let m be o(-9). Suppose 5*u = 900 + m. What is the remainder when u is divided by 10?
9
Let t = -823 - -1199. What is the remainder when t is divided by 203?
173
Suppose -5*k + 330 = 84*z - 89*z, 0 = -3*z + 12. Calculate the remainder when 534 is divided by k.
44
Suppose -2*h - 5*i + 851 = 0, -i - 2*i = -h + 442. Let a = -382 + h. What is the remainder when a is divided by 37?
14
Let a be (4*47)/(-13 + 11). Let j = a - -112. Let u(k) = 4*k**2 - k + 9. Calculate the remainder when u(4) is divided by j.
15
Let l = 98 - 96. Suppose 35 = 3*c - l*s, 0*c = -2*c + 3*s + 15. Suppose -c - 65 = -4*z. Calculate the remainder when 59 is divided by z.
19
Suppose -2*s + 3*s = 0, 2*b - 58 = -5*s. What is the remainder when (-14388)/(-220) + (-6)/(-10) is divided by b?
8
Let g(v) = 3*v**2 - 38*v - 51. Calculate the remainder when 429 is divided by g(15).
51
Suppose 50*x - 24*x = 3588. What is the remainder when x is divided by 66?
6
Let p = -8435 + 9136. What is the remainder when p is divided by 15?
11
Suppose 10*u - 59 - 21 = 0. Suppose 2*y = -u*q + 736, 2*q - 2*y = -2*q + 356. What is the remainder when 362 is divided by q?
89
Suppose 3*h - 51*n = -48*n + 525, 5*n + 30 = 0. Calculate the remainder when 14871 is divided by h.
168
Suppose 5*v - t - 295 = 43, 2*t - 72 = -v. Let d(f) = -3*f + 4. Calculate the remainder when v is divided by d(-5).
11
Suppose -2*z + 1602 = 4*t - 8756, -t - 4*z = -2572. Suppose 38*n = 2*n + t. Suppose 31 = v + 6. Calculate the remainder when n is divided by v.
22
Let r(s) = 6*s**2 + 398*s + 166. Calculate the remainder when r(-68) is divided by 23.
18
What is the remainder when 1/(17/((-170)/4)*1/(-14)) is divided by 30?
5
Suppose -5*d - 20 = 4*h, -5*h + 8*h + 15 = 0. Suppose d = 128*s - 133*s - 25. Calculate the remainder when ((165/(-12))/s)/((-5)/(-200)) is divided by 16.
14
Suppose -3*l + 3*w + 35 = -8*l, 0 = -2*l - 3*w - 5. Let k(b) = -2*b - 15. Suppose -144*s = -143*s - 57. What is the remainder when s is divided by k(l)?
2
Let f = 12 - -29. Calculate the remainder when (-3*8/12 - -7) + 198 is divided by f.
39
Suppose -14*y = -4*y + 20. Let m(l) = 5*l**2 - 6*l - 9. What is the remainder when 65 is divided by m(y)?
19
Suppose 0 = -0*g - 6*g + 42. Suppose g*f + 7 - 42 = 0. Calculate the remainder when 5/(f/4) - -89 is divided by 24.
21
What is the remainder when 1122 is divided by 313 - 76 - (-13)/(-1)?
2
Suppose 3*z + 3*s = 1305, -13*z + s = -9*z - 1765. What is the remainder when z is divided by 8?
0
What is the remainder when 327 is divided by ((-122640)/(-3780))/(-2 - 20/(-9))?
35
Suppose -10*p - 18 + 62 = -66. What is the remainder when 341 is divided by p?
0
Calculate the remainder when -15*(-11 - -4) - (-18 + 17) is divided by 65.
41
Let r = 15134 + -15038. What is the remainder when 116 is divided by r?
20
Suppose -964 = -2*u - 2*w, 462*u - 461*u + 5*w = 498. Calculate the remainder when u is divided by 40.
38
Suppose 0 = 2*i + 11*k - 12*k - 293, -733 = -5*i + 3*k. Calculate the remainder when 2480 is divided by i.
144
Suppose 5*b + 10 = -15. Let g be 3/(-45)*b*831. Suppose -4 = 13*r - g. Calculate the remainder when 81 is divided by r.
18
Suppose 2*d = -2*s - d + 1034, 5*s - 2595 = -5*d. Suppose -40 = s*x - 531*x. Calculate the remainder when 26 is divided by x.
1
Suppose -6*j + 4*j + 8 = 0. Let k be 34*1*(-2 + j). Suppose 3*p = -2*p + 5*y + 105, 3*p + 2*y - k = 0. Calculate the remainder when 43 is divided by p.
21
Let b(a) = a**2 - 3*a + 38. Calculate the remainder when b(-4) is divided by 51.
15
Suppose -2766*w + 30583 = -2759*w. What is the remainder when w is divided by 47?
45
Let s be 2 + (87 - (-5 - -2)). Suppose 5*l = -5*b + 30, -l + 4*b + 30 = -b. Let n = s + l. Calculate the remainder when n is divided by 27.
21
Let h(v) = 11*v**2 - 3*v. Let d be h(-1). Suppose -d*c + c = -442. Suppose 4*o + n - 65 = -2*n, -2*o - 2*n = -c. What is the remainder when 39 is divided by o?
11
What is the remainder when 6 - (-11 - -12)/(2/(-1570)) is divided by 52?
11
Suppose 18*s = 5*l + 15*s - 11389, 3*l - 7*s = 6823. What is the remainder when l is divided by 15?
14
Let w(i) = -82*i**3 + 2*i**2 + 2*i + 2. Let b be (-5)/(-15) - ((-33)/9 + 0). Suppose b*s + 58 = 54. Calculate the remainder when w(s) is divided by 17.
16
Let c(j) = j**3 + 24*j**2 + 3. Let y be c(-24). Suppose -s = 3*n + 8, -4*s + y = -3*n - 10. What is the remainder when 62 is divided by (-1 - (-16 - s))*2?
30
Suppose 25*g = -326 - 124. Calculate the remainder when 204 is divided by 2/g*-87 - 2/3.
6
Suppose -4*g + 24 = 2*l - 188, -153 = -3*g - 3*l. Suppose -49 = 3*u - r + 2*r, 0 = 5*u - 5*r + 95. Let j = u + g. What is the remainder when j is divided by 15?
8
Let p = 1579 - 1559. What is the remainder when 619 is divided by p?
19
Suppose 0 = 5*q + 4*n - 88, -2*n = -7 + 3. Let w = 4 + -4. Suppose w*v - 138 = -3*v. Calculate the remainder when v is divided by q.
14
Let u(v) = -12*v + 1. Let d(y) = -3*y**3 + 28*y**2 - 333*y + 3086. What is the remainder when d(9) is divided by u(-3)?
22
Let r be 1 - 3*(-4)/6 - -3. What is the remainder when (-2 - 3832/(-60)) + r/45 is divided by 34?
28
Suppose 5*f + 1355 - 470 = 3*g, f - 885 = -3*g. What is the remainder when g is divided by 43?
37
Suppose 0 = 3*q - 5 - 97. Let l = 92 + -107. Let c = l + 24. What is the remainder when q is divided by c?
7
Let a = -5728 - -6093. Calculate the remainder when a is divided by 41.
37
Let b = -35014 - -35043. Calculate the remainder when b is divided by (-7)/(-1) + -2 + 3.
5
Let v be 7*(2 + -1) + -2. Suppose -5*p + p = -v*y - 22, y = 4*p - 14. Suppose 8*g - 50 = p*g. What is the remainder when 34 is divided by g?
4
Let l(p) be the third derivative of p**6/120 + 7*p**5/60 + p**4/6 + 7*p**3/6 + 50*p**2. What is the remainder when 67 is divided by l(-6)?
10
Calculate the remainder when 98 is divided by 30/5 - (-10)/(40/196).
43
Let g(b) = 2*b**2 + 19*b. Let w(x) = x**2 + 9*x. Let a(q) = 6*g(q) - 13*w(q). Calculate the remainder when a(-1) is divided by 4/(-6) - 16/(-6).
0
Suppose 3*v = 3*o + 372, -3*v - 794 = 5*o - 182. Let h = 262 + o. Calculate the remainder when h is divided by 30.
19
Let l(c) = -c**3 + 57*c**2 + 144*c - 297. Calculate the remainder when l(59) is divided by 305.
17
Suppose 0 = n + 3, -10*p + n - 205 = -14*p. What is the remainder when 910 is divided by p?
26
Let y = -268 + 338. Let l = 75 - y. Let r(o) = 6*o + 1. What is the remainder when r(2) is divided by l?
3
Let p(r) be the first derivative of -2*r**3 + 24 + 4*r - 1/2*r**4 + 0*r**2. What is the remainder when 142 is divided by p(-4)?
34
Let i be (26 + (5 - 7))/((-5)/(-5)). Suppose 27*o = i*o - 5*m + 41, 5*o = 3*m + 57. What is the remainder when 58 is divided by o?
10
Suppose -3*a - 928 = -5*l, 14*a + 1588 = 9*a - 2*l. Let c = 354 + a. What is the remainder when 135 is divided by c?
21
Let o(b) = -b + 1. Let c be o(-3). Let w = 30 - 14. What is the remainder when (-107 + -2 - 0/c)/(-1) is divided by w?
13
Let z(d) = -d + 30. Let k be (-1)/(2/30*5). What is the remainder when z(k) is divided by 17?
16
Let i(y) = -9*y + 21 - 5*y**2 - 23 + 3*y**2. Let c be i(-4). Suppose -k - c*k + 4*q = -155, 297 = 5*k + 3*q. Calculate the remainder when 111 is divided by k.
54
Suppose 74 = -5*z + f + 178, 0 = -5*z + 2*f + 103. Let d be (-8)/((-82)/(-26) - 3). What is the remainder when (144/(-12))/(6/d) is divided by z?
20
Let j be 600/18*1/((-8)/(-60)). Calculate the remainder when ((-67)/(-3))/((-2)/(-6)) is divided by (-20)/(-140) - j/(-14).
13
Let v = -35 - -137. Calculate the remainder when 350 is divided by v.
44
Let y be 1406/(-6) - (-16)/48. Calculate the remainder when 98 is divided by 208/(-56) + 4 + y/(-14).
13
Suppose -4*g + 3*u + 26 = -47, -u - 105 = -5*g. Let f(v) be the second derivative of -v**3/6 + 32*v**2 + 6*v. Calculate the remainder when f(0) is divided by g.
20
Let p = -297 - -438. Suppose 4*l - 4*y - 132 = 0, 5*y - 14 = -5*l + p. Let i = 46 - l. Calculate the remainder when 39 is divided by i.
11
Let o(g) = -g**3 - 4*g**2 - 7*g - 5. Let i be o(-2). Let c be (-6 - -7) + -16 + i. Let w = c - -55. What is the remainder when 77 is divided by w?
36
Let v be (35/10)/(2/28). Suppose i + 451 - v = 5*m, 4 = -2*i. Calculate the remainder when m is divided by 3.
2
Let h(n) be the fir