 + 16*s - 37. Let t be h(-18). Suppose -t = -40*x + 23*x. Calculate the remainder when 50 is divided by x.
12
What is the remainder when (-205)/(-2) + (-5)/(-10 - 0) is divided by (-11)/33 + 48/9?
3
Let z(g) = 21*g**2 + 189*g - 190. Calculate the remainder when 119 is divided by z(1).
19
Suppose 3*y + 26 = 59. Calculate the remainder when 460 is divided by 3/4 + y/44 - -65.
64
Calculate the remainder when 982 is divided by 4/(48/60)*((-3 - -10) + 27).
132
Suppose 430*p - 434*p = -2*v + 1940, 0 = -4*v - 3*p + 3891. Calculate the remainder when v is divided by 109.
100
Suppose -y + 2 - 5 = 0. Let j(z) = -5*z - 4. Let p be j(y). Let k = p + -4. What is the remainder when 12 is divided by k?
5
Calculate the remainder when 17976/1605*(-190)/(-8) is divided by 28.
14
Suppose -3*d = d - 16. Calculate the remainder when 108 is divided by (28 + d - 4)*2.
52
Suppose -3*f = 23*m - 26*m - 1446, -2*f + 989 = 3*m. Calculate the remainder when 1779 is divided by f.
318
Let d be 1*(-1 + (-2)/(-2)). Suppose 2*f - 125 = 5*o, f + 2*o = -39 + 97. Suppose d*r - 5*r = -f. What is the remainder when 46 is divided by r?
10
Let p(g) be the third derivative of -g**6/60 - 7*g**5/30 - g**4/6 - 7*g**3/6 + 7*g**2 - 1. What is the remainder when 37 is divided by p(-7)?
16
Suppose 577*i + 120 = 589*i. Suppose i - 13 = -w, -4*j + 5*w = -345. What is the remainder when j is divided by 27?
9
Suppose 0 = -12*h + 3933 + 54075. What is the remainder when h is divided by 2411?
12
Calculate the remainder when 1*862*(9 + -30)/(-42) is divided by 211.
9
Let n(g) = -g + 2. Let r be n(-3). Let l(y) = y**2 + 4*y + 9. What is the remainder when l(r) is divided by 5?
4
Let z(t) = t**2 - 4*t + 8. Calculate the remainder when 1/(-12) + 97539/1476 is divided by z(4).
2
Let j be (1 - 2)*-11*14. Let y = j - 135. What is the remainder when 187 is divided by y?
16
Let y = 7455 - 832. Calculate the remainder when y is divided by 69.
68
Suppose -6921 = -5*b + 3649. Suppose 0 = -11*k + 4*k + b. What is the remainder when k is divided by 16?
14
Let k = -12395 - -12405. Calculate the remainder when 866 is divided by k.
6
Let z be 0 + (-33)/(-22) + 18/4. Suppose z*p = 86 - 14. Suppose 0 = -11*k + p*k - 14. Calculate the remainder when 54 is divided by k.
12
Let z = 87 - 85. Suppose 40 = z*n - 16. Calculate the remainder when 42 is divided by n.
14
Let w(p) = -p**2 + 3. Let l(d) = -d**2 + 2. Let m(h) = -7*l(h) + 4*w(h). What is the remainder when m(2) is divided by 26*42/(-2730) + 32/5?
4
Let q = -35 + 38. Let b(s) = -2 - 2*s - q + 10 - 5*s**3 - 6. What is the remainder when b(-1) is divided by 2?
0
Suppose 0 = -17*k + 678 + 342. What is the remainder when k is divided by 55?
5
Let d be (2 - (9 - 5)) + -16. Suppose -4*v - 50 = v - 3*i, -3*v + i - 26 = 0. Let k = v - d. What is the remainder when 63 is divided by k?
8
Let n = -69509 + 69619. What is the remainder when n is divided by 5*1*76/10?
34
Let j = 49 + -31. Let f(z) = -7*z + 43. Let g be f(7). What is the remainder when 4 + (47 - g) + -4 is divided by j?
17
Suppose -5*m = -3*m + 5*j + 41, 0 = -4*m - 4*j - 52. What is the remainder when 4/(-4) - -130 - -8 is divided by 23 + m/4 - -2?
22
Suppose 5*y = 2*z - 258, -8*y + 6*y = z - 156. What is the remainder when 521 is divided by z?
89
Suppose -3*x - 12 = 0, -2*l - 97 = -x - 155. Let h(u) = 20*u - 6. Calculate the remainder when h(4) is divided by l.
20
Suppose t + 1 = -5*s - 57, -4*s + t = 50. Let h be (-105)/14*s/9. What is the remainder when 73 is divided by 245/h + (-2)/(-4)?
23
Suppose -4*j + j = -81. Let k = -68308 + 68467. What is the remainder when k is divided by j?
24
Suppose -5*q - 3*s = -32 + 1, 2*q - 2*s = 6. Suppose r + q*n + 12 = 348, 3*r + 2*n = 943. What is the remainder when r is divided by 24?
23
Suppose 1085*i = 1089*i - 140. Calculate the remainder when 669 is divided by i.
4
Let p = 317 + -97. Let m = 235 - p. What is the remainder when m is divided by 7?
1
Let c(z) = z**3 + 9*z**2 - 5*z - 6. Suppose -5*t - 2340 = -5*i, 3*i - t - 1215 - 189 = 0. Calculate the remainder when i is divided by c(-4).
92
Let q(h) be the second derivative of h**3/6 + 33*h**2/2 - 16*h. Let w be q(8). Let p = w + -28. What is the remainder when 49 is divided by p?
10
Suppose 5*p = -77 + 137. Let u(g) = -g + 14. Suppose 0 = -2*r + 8*r - 60. What is the remainder when r is divided by u(p)?
0
Suppose 43*a - 12990 - 115164 - 8887 = 0. Calculate the remainder when a is divided by 28.
23
Suppose -46*r + 126509 = -33433. Calculate the remainder when r is divided by 218.
207
Let w(n) = -19*n**3 + 105*n**2 - 14*n + 37. Calculate the remainder when w(4) is divided by 94.
69
Let a be 1/3*(7 + -2 - -19). Suppose x - 10 = -x. Suppose -20 = -l + t, a = -t + x*t. What is the remainder when l is divided by 8?
6
Let s = 122 - 121. Let f = s - -11. Calculate the remainder when 57 is divided by f.
9
Let m(y) = y**3 + 15*y**2 - 17*y - 4. Let x(k) = k**3 + 12*k**2 + 7*k. What is the remainder when x(-11) is divided by m(-16)?
8
Suppose -78*g = -76*g - 6. Let y(l) = l**3 + 4*l**2 - 10. What is the remainder when 156 is divided by y(g)?
50
Let b(w) = w**2 - w - 75*w**3 + 15*w + 21 - 9*w**2 + 74*w**3. What is the remainder when b(-10) is divided by 41?
40
Let k(u) = 334 - 123 - 11269*u + 11213*u + 3*u**2. Calculate the remainder when 113 is divided by k(4).
8
Let c(x) = x**2 + 10*x + 1. What is the remainder when c(-18) is divided by (27921/615 - (-16)/10) + -10?
34
Let h be (-14)/(75/70 + -1). Let v = h - -221. What is the remainder when 68 is divided by v?
18
Suppose -2*w - 8 - 2 = 0. Let c be (-9)/15 - (-12)/w. Let r = c + 9. Calculate the remainder when 8 is divided by r.
2
Suppose -599*l + 125 = -594*l. Let u = -17 + l. What is the remainder when u is divided by 0 - -6*(-1 - -2)?
2
Let q = -134642 - -134660. Let u = -120 - -212. Calculate the remainder when u is divided by q.
2
Let a(l) = 17*l - 98. Let y be a(6). Suppose -4*b + 5*b - y = -3*v, 18 = b - 4*v. What is the remainder when 64 is divided by -7 - -10 - -4*b/4?
12
Suppose -7*q = -0*q - 175. Let a = q + -22. Calculate the remainder when 34 is divided by (-15 + a)*((-63)/12)/7.
7
Calculate the remainder when 215 is divided by 5/5 + 80 - (1 - -8).
71
Suppose -2*p = -2*m + 2, 4 = 4*m + 4*p - 0. Let w be 550/5*m*(-6)/(-15). Let o = -6 + w. Calculate the remainder when 72 is divided by o.
34
Let u = -4378 + 4465. Calculate the remainder when 747 is divided by u.
51
Suppose 13*z - 181 = -57*z + 29. Let s(l) = -34*l + 28. Let b(r) = -23*r + 19. Let o(j) = -8*b(j) + 5*s(j). What is the remainder when o(z) is divided by 11?
8
Suppose 90 = -28*v + 38*v. Let i = v - 6. Calculate the remainder when 22 is divided by i.
1
Suppose 4*p = 523 - 95. What is the remainder when p is divided by (-17)/(-5) + -4 - (-1184)/40?
20
Suppose 7*a = 4*a + 6327. Suppose 22*k = 3*k + a. Calculate the remainder when 887 is divided by k.
110
Let u(c) = c**2 - 2*c + 98. Suppose -5*j + 0*j = 0. What is the remainder when u(j) is divided by 10?
8
Let j(t) = -t**3 + 17*t**2 - 32*t + 1. Let v be j(15). Calculate the remainder when -6 - 36/(-6) - v is divided by 10.
9
Suppose 2*p - 3*b = 9 + 34, p = -3*b + 26. Suppose -238 = 21*s - p*s. Calculate the remainder when s is divided by 4.
3
Let z(h) = -42*h - 62 - 12*h + 14*h - 15*h. Calculate the remainder when z(-3) is divided by 9.
4
Let d be (6/15*1)/((-2)/(-10)). Suppose -v + 211 = 3*j, -v + d = v. What is the remainder when j is divided by 40?
30
Suppose -4*g = -2*g - 4. Suppose -g*b = 5 - 51. What is the remainder when 42 is divided by b?
19
Let l(b) = b**2 - 21*b + 88. Let a be l(14). Calculate the remainder when 144/a*(2800/(-21))/20 is divided by 27.
15
Suppose 84 = -0*w - 10*w + 17*w. Calculate the remainder when 2781 is divided by w.
9
Suppose -2*a + 6460 = 49*n - 46*n, -6480 = -2*a + 2*n. What is the remainder when a is divided by 79?
76
Let h(x) = 3*x - 120. Let i be h(19). Let a = i + 341. Calculate the remainder when a is divided by 47.
43
Let p = -348 + 342. Calculate the remainder when -25*((p - -2) + (-2)/(-10)) is divided by 28.
11
Suppose f - 3007 = -5*y, 5*y = -4*f + 9189 + 2749. Calculate the remainder when f is divided by 77.
51
Let l(w) be the third derivative of -w**6/120 + 4*w**5/15 + 17*w**4/12 + 65*w**3/6 + 9*w**2 + 2. Calcu