*a - 7*a + 0*a. Calculate the remainder when y(-1) is divided by c.
12
Suppose 58*x - 15951 - 695 = 0. What is the remainder when x is divided by 58?
55
Suppose 4*d + 51 = 35, -n + 437 = -d. What is the remainder when n is divided by 20?
13
Let u(q) = -q**3 + 29*q**2 + 30*q + 4. Let m(g) = -g**2 + 6*g + 5. Let i be m(7). Let w = i - -5. Calculate the remainder when u(30) is divided by w.
1
Let o = 2918 + -2782. What is the remainder when 409 is divided by o?
1
Let r(n) = 4*n + 51. Let w(d) = 17*d + 9. Let p be w(-1). Calculate the remainder when r(p) is divided by 9.
1
Let y(a) = 7*a - 10. Let b(i) = i**2 - 10*i - 181. Calculate the remainder when b(-14) is divided by y(9).
49
Suppose 234 = 2*t + 76. What is the remainder when t is divided by 3/(-6)*(-80)/5?
7
Let f(h) = -29*h - 24. Let b be f(-3). Suppose 0 = 6*o - 165 + b. Suppose -i + 20 = 4*i. Calculate the remainder when o is divided by i.
1
Suppose 4*b - 536 = 220. Let z be 42*(366/63 - (-4)/(-6)). Suppose -z*o + 215*o = -32. Calculate the remainder when b is divided by o.
29
Let c(f) = 2*f**2 - 234*f + 5946. What is the remainder when c(29) is divided by 417?
8
Let x = -34 + 36. Suppose 4*d + h + 5 = 0, d + x*h + 3 = 7. What is the remainder when 101 is divided by ((-17)/34)/(d/108)?
20
Let s(g) = -g**3 + g + 1. Let f = 20 + -23. Let m(j) = -2*j**3 + j**2 + 8*j + 76. Let c(x) = f*s(x) + m(x). Calculate the remainder when c(0) is divided by 20.
13
Let a(y) be the third derivative of -y**5/60 - y**4/2 + 59*y**3/6 - 76*y**2. Calculate the remainder when a(-13) is divided by 11.
2
Let a = 20724 - 20140. Calculate the remainder when a is divided by 165.
89
Let c = 72 + -50. Suppose 3*p = a - 53, -4*a = -0*p + 17*p - 531. Calculate the remainder when a is divided by c.
20
Suppose -78 = -13*z, -4*z + 347 = 2*v - 361. Calculate the remainder when 1710 is divided by v.
0
Suppose 0 = -322*g + 303*g + 494. Suppose 2*v - 192 = -2*v. Calculate the remainder when v is divided by g.
22
Suppose -4*k - 4*v + 705 + 31 = 0, -2*k + 4*v + 350 = 0. Let d = 31 + k. Calculate the remainder when d is divided by 72.
68
Let t(s) = s**3 - 49*s**2 + 139*s + 111. Calculate the remainder when t(46) is divided by 61.
35
Suppose 3*k = 2*f + 587, -k + 314 = 2*f + 121. Calculate the remainder when k is divided by 74.
47
Suppose -34*q = -2*n - 37*q + 302, -n + 161 = -q. Calculate the remainder when n is divided by 9.
4
Let f(v) be the second derivative of -v**5/20 + 7*v**4/12 + 7*v**3 + 5*v**2 - 24*v. Calculate the remainder when f(10) is divided by 44.
42
Let m(h) = h + 42. Let s be m(-18). Suppose -s = 13*v - 9*v. What is the remainder when 28 is divided by (v/(-8))/(1/20)?
13
Suppose 114*u - 18*u - 2592 = 0. Calculate the remainder when 1078 is divided by u.
25
Let o(i) = 7*i - 24. Let p be o(3). What is the remainder when 92 is divided by (p/(-36)*-4)/(1/(-57))?
16
Let u(p) = p**2 + p + 18. Calculate the remainder when 302 is divided by u(7).
6
Let j(f) = -5*f**2 + 12*f - 23. Let d be j(6). Let b = -126 - d. Suppose 0*s - b*s - 3*m = -115, 35 = 3*s - 5*m. What is the remainder when 55 is divided by s?
15
Let y = 51282 + -51212. Let f(j) = -j**2 + 8*j - 1. What is the remainder when y is divided by f(7)?
4
Suppose -4*s - 98*a + 100*a = -48, 2*s + 4*a = 14. What is the remainder when 198 is divided by s?
0
Suppose 20703*m - 20595*m = 6588. Let g = 22 + -12. Calculate the remainder when m is divided by g.
1
Let x = 41590 + -41541. Let f(g) = 95*g**3 - g + 1. What is the remainder when f(1) is divided by x?
46
Let f be (((-84)/(-5))/3)/(3/75). Suppose -3*w - 3*t + 105 = 0, -2*w + 4*t + f = 2*w. Suppose 4*y - 13 - w = 0. What is the remainder when 30 is divided by y?
6
Suppose 20 - 65 = -3*p. Suppose -8*t + 7*t = -p. Calculate the remainder when ((-155)/t)/(1/(-3)) is divided by 8.
7
Let f(n) = 9*n + 441. Let i be f(0). Let z = i - 378. What is the remainder when z is divided by 54?
9
Let g(u) = 2*u**2 + 24*u - 132. Calculate the remainder when g(-24) is divided by 147.
3
Calculate the remainder when (-2)/30 - 42926/(-390) is divided by (1 - 0) + 26 + 1.
26
Let h(k) = 15901*k - 390. Calculate the remainder when h(1) is divided by 277.
276
Let y(x) = 46*x + 3377. Calculate the remainder when 54 is divided by y(-73).
16
Let x(c) = -c**3 + 11*c**2 + 29*c - 19. Let u(i) = i**2 - i - 259. Let b be u(17). What is the remainder when 39 is divided by x(b)?
19
Let h(a) = a**3 - a**2 - a - 7. Let m be h(0). Let r(f) = f**3 + 8*f**2 + 4*f + 2. Calculate the remainder when r(m) is divided by 12.
11
Let s be (24/(-4) + 5)/((-1)/(-5)). Let g be 1 + (-5 - s - 5). Calculate the remainder when 52 is divided by g/5 - (-1598)/85.
16
Let q = -168 + 145. Let u(g) = g**2 + 15*g - 144. What is the remainder when u(q) is divided by 1/(2 - 3) + 15?
12
Let w be 1*9 - (-1 - 0). Let d = -130291 - -130328. Calculate the remainder when d is divided by 1*3*w/3.
7
Suppose -17*d + 12*d = -1515. Let l = -228 + d. Calculate the remainder when l is divided by 20.
15
Suppose 2494 = 4*p + 3*o, -1940*o = -5*p - 1938*o + 3106. What is the remainder when p is divided by 8?
6
Suppose 0 = -3*d - 1 - 2, 25 = -3*h - 4*d. Let f(l) = -l**2 - 9*l. Calculate the remainder when 46 is divided by f(h).
4
Let p(a) = 4*a**2 + 3*a - 4. What is the remainder when p(-11) is divided by 14?
13
Let t(q) = 3*q**3 + 5*q**2 - 14*q + 46. Suppose 0 = -2*b - 4*f + 50, 0 = -b - 3*f - f + 27. Calculate the remainder when t(3) is divided by b.
15
Calculate the remainder when ((-30)/21 - (-25)/5)*35 is divided by 12.
5
Calculate the remainder when (1863/108)/((-2)/(-7) + (-52)/224) is divided by 80.
2
Let r be 3 - (-7)/((-21)/78). Let z = r + 46. Calculate the remainder when (-1)/(5/645*-3) is divided by z.
20
Suppose 17*j = 24*j - 105. Suppose 0 = -122*p + 127*p - 310. What is the remainder when p is divided by j?
2
Let k = -69 + 39. Let f be (k*(1 - 0))/(-12 - -10). What is the remainder when 68 is divided by f/(-20) - (-99)/4?
20
Let t = -2092 - -2098. Suppose s - 429 = 5*r, -858 = 3*s - 5*s - 2*r. Suppose s = 7*y + t*y. What is the remainder when y is divided by 17?
16
Let a = -15 - -5. Let n = -6 - a. Let j = 463 + -459. Calculate the remainder when j is divided by n.
0
Let b be (0/3)/(-1)*1. Suppose -i = -b*i - 123. What is the remainder when i is divided by 8/((490/(-30) - -17)*(-9)/(-24))?
27
Let b be (-75)/10*(-4976)/24. Calculate the remainder when ((-348)/48)/(-29) - b/(-4) is divided by 49.
46
Suppose 3*k - 4*c + 753 = 811, -k + 3*c + 26 = 0. Suppose 2*n - 5*n + 126 = 0. What is the remainder when n is divided by k?
0
Let y(a) = -19*a + 2750. Calculate the remainder when 25367 is divided by y(144).
13
Suppose 4*h - 5*g = -69 - 8, -4*h = -4*g + 80. Let i = -20 - h. Suppose i*q = q + 20. Calculate the remainder when 32 is divided by q.
2
Let r = -149 - -149. Suppose -5*k + r*k = 3*t - 68, -4*t + 4*k = -48. What is the remainder when 42 is divided by t?
10
Suppose 0 = -9*m + 6*m. Suppose m*q + 176 = q. Calculate the remainder when q is divided by 50.
26
Let l(h) = 4*h**3 - 25*h**2 + 10*h + 7. Let a be (-2)/(-2)*120/(-4). Let d = 121 + a. What is the remainder when d is divided by l(6)?
29
Suppose 0 = -383*b + 429*b - 6348. Calculate the remainder when b is divided by 3.
0
Suppose -p = 5*v - 44, -v - 100 = -5*p + 16. Let l = 28 - 2. Suppose 5*f - l = 199. What is the remainder when f is divided by p?
21
Suppose -23 - 10 = -3*w. Suppose -11*n - 79 = 64. Calculate the remainder when (-6)/(-4)*((-871)/(-39) - n) is divided by w.
9
Let d(t) = -1677*t - 3321. Suppose 0 = -2*h + 4. Suppose -48 = -2*i - h*i. Calculate the remainder when d(-2) is divided by i.
9
Let u(k) be the first derivative of k**4/4 - 7*k**3/3 + 27*k**2/2 - 14*k - 210. What is the remainder when u(5) is divided by 44?
27
Suppose -4*d = -2*d - 72. Suppose 2*l - d = -7*l. Suppose -129 = -l*r + 643. Calculate the remainder when r is divided by 15.
13
Suppose d = 2*v - 16, -5*d - 16*v = -12*v - 60. Let m(k) = -k**3 - 2*k**2 - 2. Calculate the remainder when m(-3) is divided by d.
3
Suppose -5*s - 4*u = 12, 2*s - 6*u = -3*s + 18. Suppose 5*b - 7*l = -9*l + 2453, s = -b - l + 493. Calculate the remainder when b is divided by 70.
69
Let w = 956 - 951. Let u be (0 - -2)*-1 - -2. Suppose 3*c - 43 = w*d - u*d, -c = 4*d + 14.