 73 is divided by u.
13
Let m(t) = -38*t**3 - 2*t**2 - 5*t + 1. Let n be m(-2). Let c = 345 - n. Calculate the remainder when c is divided by 8.
6
Suppose -4*x - 518 = 2*u, -435 = 3*u + 3*x + 327. Let i = 415 + u. Calculate the remainder when i is divided by 10.
6
Let v(u) = -24*u + 39. Let y(o) = -o**3 - 10*o**2 + o + 29. What is the remainder when v(-3) is divided by y(-10)?
16
Let g = -32 - -112. Suppose -2*s - g = -2*z, 5*s = -3*z - 41 + 153. Calculate the remainder when z is divided by (-18)/(-12) + (-41)/(-2).
17
Suppose -1647 - 11341 = -7*g - 27*g. What is the remainder when g is divided by 75?
7
Let c = 10917 + -10635. Calculate the remainder when c is divided by 125.
32
Suppose -21*h = -17*h + 24, 0 = -x + h + 1093. Calculate the remainder when x is divided by 29.
14
Suppose 7*b - 835 = 2*b. Suppose -2*n + 20*z - 24*z = 8, n - 3*z - 16 = 0. Let g(u) = -20*u + 114. Calculate the remainder when b is divided by g(n).
31
Suppose 0 = 319*v - 324*v + 70. Suppose 6 + 0 = 3*r. Suppose 0 = -r*l - 3*l + 255. What is the remainder when l is divided by v?
9
Suppose 4*v - 5*g - 85 = 81, 4*g + 8 = 0. Let c(y) = y**2 - 11*y - 32. Suppose 8*m - m - 98 = 0. What is the remainder when v is divided by c(m)?
9
Let g(q) = 76*q - 4457. Calculate the remainder when 371 is divided by g(60).
62
Let l(c) = 12*c - 126. Let x be 18 + ((-11)/(-3) - (-2)/(-3)). Calculate the remainder when l(x) is divided by 64.
62
Let q = 33 + -28. Suppose -q*h + 6*h = 143. Let w(n) = -22*n - 8. Calculate the remainder when h is divided by w(-2).
35
Let x be 10/(-6)*-3*(-3 + 4). Let p(l) = l**3 - 6*l**2 + 7*l - 5. Let u be p(x). Calculate the remainder when (61/(-1) + 2)*u/(-5) is divided by 20.
19
Let n = -516 + 954. Let d = n - 402. Calculate the remainder when 431 is divided by d.
35
Let c = 2104 - 2098. What is the remainder when 11 is divided by c?
5
Let s = -18663 + 19779. What is the remainder when s is divided by 88?
60
Suppose 2*h - a - 796 = 0, 54*h - 3*a - 4393 = 43*h. What is the remainder when h is divided by 13?
11
Let i = -35 - -26. Let v(o) = -o**3 - 6*o**2 + 13*o + 11. What is the remainder when v(i) is divided by 46?
45
Let u = 3955 - 3676. Calculate the remainder when u is divided by 40.
39
Let y = 15236 - 15213. Calculate the remainder when 130 is divided by y.
15
Suppose -11*z + 181*s + 1812 = 176*s, 0 = 3*z - 2*s - 491. What is the remainder when 1293 is divided by z?
124
Suppose -12*p - 15 = -87. Let d = p - -17. Calculate the remainder when (-224)/3*(-9)/6 is divided by d.
20
Suppose 145*r + 1068 = 147*r. Let q = -522 + r. What is the remainder when 70 is divided by q?
10
Let u(s) = -2*s**3 + 31*s**2 + 33*s - 59. Let d(a) = -2*a + 1. Let i(p) = 4*d(p) + u(p). Calculate the remainder when i(16) is divided by 47.
42
Calculate the remainder when 2 + (92/69)/(1/219) is divided by 285.
9
Let f(y) = y**3 + 6*y**2 - 195*y - 1125. Let b(k) = 32*k - 6. What is the remainder when b(4) is divided by f(-6)?
32
Let w = -212 + 293. Suppose 24*c - w = 135. Calculate the remainder when c is divided by 6 + -3*(-2)/(-3).
1
What is the remainder when 17510/102*(22 - 10) is divided by 206?
0
Let q be (-8)/(-6)*(0 - 9/(-6)). Suppose q*z = 7*z - 20. Suppose -5*a = -n - z*n - 730, 5*a + 4*n = 703. Calculate the remainder when a is divided by 36.
35
Suppose -4*c = -474 - 922. Let y = c - 334. Calculate the remainder when y is divided by 3.
0
Let c(k) = 26*k - 1098. Calculate the remainder when 821 is divided by c(50).
13
Let l(x) = -x**3 + 14*x**2 - 23*x + 5. Let f(t) = 8*t + 3. Let h be f(-2). Let a be h/52 + (-49)/(-4). What is the remainder when l(a) is divided by 4?
1
Suppose 4*q = -4*c + 180, 3*q + 6 = -0. Calculate the remainder when ((c - 48) + 1 + 1)*134 is divided by 9.
8
Suppose 0*g + 4*h = g + 36, 212 = -5*g + 4*h. Let l = 80 + g. Let i = l + 5. What is the remainder when i is divided by 22?
19
Suppose 8*m + 2172 - 6484 = 0. Let w = 320 - 252. Calculate the remainder when m is divided by w.
63
Suppose 2*h - 33543 = -7*h. Calculate the remainder when h is divided by 113.
111
Let q(d) = -d**3 - 141*d**2 + 143*d + 3376. Calculate the remainder when q(-142) is divided by 61.
1
Let p(q) = -5 - 7 + 10 + q. Let b be p(6). Let w = b + 11. Calculate the remainder when 23 is divided by w.
8
Let j = 1970 - 1826. What is the remainder when 429 is divided by j?
141
Suppose 0 = 3*m - 2*k - 914, 4*k - 17 - 15 = 0. Calculate the remainder when 3100 is divided by m.
0
Suppose 1728 = -357*t + 373*t. What is the remainder when 395 is divided by t?
71
Suppose 2*j - 3*q = 4842, -84*q + 82*q = 12. What is the remainder when j is divided by 161?
158
Let o be (-5)/(-2)*(-63)/45*-4. Suppose o = 18*d - 310. What is the remainder when 26 is divided by d?
8
Suppose -4045 = 2*m - 4061, 3*m - 15849 = -3*g. What is the remainder when g is divided by 1312?
27
Let a(m) = 4*m**2 + 6*m + 1. Let r(p) = -p**2 - 6*p + 3. Let i be r(-6). Suppose 0 = t - n, -4*n = 23 - i. Calculate the remainder when a(t) is divided by 24.
23
Let d = -860 + 1583. Let p = d + -685. What is the remainder when 151 is divided by p?
37
Let k = 8 + -4. Suppose g = k*g - 78. Suppose -38*t - 10*t = 19*t - 201. What is the remainder when g is divided by t?
2
Let q(g) = 285*g**2 + 30*g - 29. What is the remainder when 574 is divided by q(1)?
2
What is the remainder when 181 is divided by (-49)/(-14)*14/((-16)/(-4) + -3)?
34
Let q = 453 + -449. What is the remainder when 138 is divided by (222/4)/((-2)/(q/(-3)))?
27
Suppose -2*k = -l - 39 - 66, 5*k - 257 = -3*l. Calculate the remainder when (3640/k)/(1 + 0 - -1) is divided by 19.
16
Let r(h) = 2*h**3 - 9*h**2 - 2*h + 18. Suppose -3*j + 6 = -3*z, 0*z = 5*j - z - 22. Suppose 0*d - 60 = -j*d. Calculate the remainder when r(5) is divided by d.
9
Let l = -9409 - -9422. What is the remainder when 907 is divided by l?
10
Let k(b) = -b. Let i(d) = 6*d - 3. Let n(u) = i(u) - 5*k(u). Let v(z) = -1698*z - 6680. What is the remainder when v(-4) is divided by n(2)?
17
Suppose 0 = 17*s + 102, -2*s = 211*g - 213*g + 58. Calculate the remainder when 98 is divided by g.
6
Suppose 3*l + 357 = k, -4*l + 3*k - 669 = -188. Let j = -46 - l. Suppose -3*a + 7*a = j. Calculate the remainder when 125 is divided by a.
17
Suppose 0 = -28*d - 403 + 599. What is the remainder when 208 is divided by d?
5
Suppose -u - a - 4*a = -43, -2*u - 3*a = -79. What is the remainder when 8/(-14) - u/7*-6 is divided by 19?
13
Suppose -10 = 2*t - 16. Let d(m) = -39*m - 10. What is the remainder when d(-1) is divided by -2 + (3 - -10) - t?
5
Let c = 148 - 145. Suppose -2*r = 4*i - 554 + 78, r - 248 = c*i. Calculate the remainder when r is divided by 35.
32
Calculate the remainder when (-3)/(13 + 5) + 179945/174 is divided by 202.
24
Suppose m - 5*s = -0*s + 19, -5*m = 2*s - 14. Suppose 4*f = 3*f - u + 22, 3*f - 68 = -m*u. What is the remainder when f is divided by 3*(-3)/(-9)*11?
9
Let b = 14505 + -14418. Calculate the remainder when 198 is divided by b.
24
Let t = -5351 + 5454. Calculate the remainder when 1851 is divided by t.
100
Let y(h) be the second derivative of h**3/2 + 34*h**2 + 23*h. Let w be y(-20). Let o(k) = -k**2 + 13*k - 15. Calculate the remainder when o(w) is divided by 14.
11
Let m = -7606 - -7934. Calculate the remainder when m is divided by 21.
13
Let i(v) be the third derivative of v**6/120 - v**5/10 - v**4/6 - 7*v**3/6 + 5*v**2. Calculate the remainder when 8/6 - 5831/(-147) is divided by i(7).
13
Suppose 4*a = q - 7, -6*a = -2*a - 16. What is the remainder when ((-1)/((-6)/32))/((-96)/(-2880)) is divided by q?
22
Suppose 4*u = 5*r - 43, -3*r = 10*u - 6*u + 19. What is the remainder when u/1 - -2 - (3 - 39) is divided by 8?
7
Let u(n) = -11*n**2 + 7*n + 20. Let h be u(-3). Let s = h - -147. Calculate the remainder when s is divided by 10.
7
Let i = 16 + -3. Let u = i + 3. Suppose 5*j - u = 14. What is the remainder when 14 is divided by j?
2
Suppose 0 = 4*j + 16, 5*x - 7*j - 3340 = -12*j. Calculate the remainder when x is divided by 214.
30
Let x(r) = 8*r + 310. What is the remainder when 576 is divided by x(-19)?
102
Let q be 511 - 160/140*(-7)/(-2). Suppose -6*v + q = 141. Calculate the remainder when 110 is divided by v.
49
Suppose -m = -4*j - 29, -1383*j = -3*m - 1379*j + 55. What is the remainder wh