 the remainder when 12 is divided by c(v)?
4
Let g(w) = w + 19. What is the remainder when 201 is divided by g(22)?
37
Calculate the remainder when -12 - (-3979 + (21 - 12)) is divided by 132.
130
Suppose -420 = 31*i - 46*i. Calculate the remainder when 33 is divided by i.
5
Suppose 3 = -2*c - 5, -4*c - 184 = 4*j. Let w = -29 - j. Let x(h) = h**3 + 7*h**2 - 4*h - 3. What is the remainder when x(-7) is divided by w?
12
Suppose 4*t - 4*k = 53 + 55, 82 = 3*t - 4*k. Calculate the remainder when 77 is divided by t.
25
Let u(a) = -2*a**3 + 36*a**2 - 27*a - 51. What is the remainder when u(17) is divided by 41?
27
What is the remainder when (-3)/((-20421)/1854 + 11) is divided by 61?
23
Let g = -1831 - -1961. Calculate the remainder when 380 is divided by g.
120
What is the remainder when 83 is divided by (-100)/450 + (1052/9)/4?
25
Suppose 0 = -2*c + 5*m + 18, -2*m + 19 + 13 = 2*c. Let d = -13 + c. What is the remainder when -1 + 28 + d + 0 is divided by 15?
13
Suppose 3*t = u - 38, -4*u + 44 = 2*t - 5*t. Let w be t/(-48) - (-198)/8. Suppose 2*o - 73 = w. What is the remainder when o is divided by 25?
24
What is the remainder when 1 is divided by 11 + (-114)/12 - (-1)/(-2)?
0
Let c = -612 + 690. Suppose 0*q = 5*q - 80. Calculate the remainder when c is divided by q.
14
Let w(q) = -q**3 + 11*q**2 - 11*q + 12. Let v be w(10). Let f(p) = 4*p**v + 5*p**2 + 0*p - 3*p - p**3 - 3*p. What is the remainder when f(8) is divided by 6?
4
Suppose -2*i = -i - 3. Calculate the remainder when (i + (-30)/9)*-18 is divided by 3 + (-3 - 0 - -2).
0
Let v = 7 - 6. Let o = v + 35. Suppose -2823 + 3967 = 8*s. Calculate the remainder when s is divided by o.
35
Let r(q) = -27*q - 458. What is the remainder when r(-21) is divided by 19?
14
Suppose 0 = -g - g + 52. Let v = -149 + 163. Calculate the remainder when g is divided by v.
12
Let u(f) = -111*f - 431. Calculate the remainder when 50 is divided by u(-4).
11
Calculate the remainder when 91 + 0 + 5/(5/3) is divided by 19.
18
Suppose 55 = 4*g + 3*b, -2*b - 9 = -g + 2. Suppose -4*r = k - 6, 0*k - 3*k = 2*r - 8. Suppose -k*l - l = -147. What is the remainder when l is divided by g?
10
Let b(s) = s**3 - 23*s**2 + 62*s + 43. What is the remainder when b(20) is divided by 43?
40
What is the remainder when 44 is divided by ((-62)/(-155))/((-2)/(-130))?
18
Let v = 13 + 5. Let u be (-4)/v + (-624)/108. Calculate the remainder when 22 is divided by (-13)/(-2*(-3)/u).
9
Let v(i) = 6*i + 5*i + 5*i**2 - 2 + 2*i - 9*i. What is the remainder when v(-3) is divided by 11?
9
Let q(s) = s**3 - 5*s**2 - 9*s - 2. Suppose 0 = -5*p + p + 20. Suppose 0 = -p*x + 37 - 2. Calculate the remainder when q(x) is divided by 17.
16
What is the remainder when (4 - -1)/((-9)/(-26460)*50) is divided by 41?
7
Let y be (54/(-2))/(-3) + 4. Let v = y - -3. Calculate the remainder when (v + -14)*34/4 is divided by 5.
2
Let s = 117 + -106. Suppose -s*l = -13*l + 16. What is the remainder when 21 is divided by l?
5
Let m be (-872)/36 - (-2)/9. Let f = -37 - m. Let t = 22 + f. What is the remainder when t is divided by 5?
4
Suppose -13*b + 16*b - 33 = 0. What is the remainder when 97 is divided by b?
9
Let f(p) = -16*p**2 + 2*p - 1. Let r be f(1). Let b = -5 - r. Let g = -125 + 144. Calculate the remainder when g is divided by b.
9
Suppose -2*y - 3*w - 21 = 0, -y - 3*w = 4*y + 30. What is the remainder when 7 is divided by -3*((-3)/(-9))/(1/y)?
1
Let g(r) = -r**2 - 8*r + 1. Let o be (-10)/85 - (-234)/(-34). Calculate the remainder when 47 is divided by g(o).
7
Let j(w) = 5*w - 9. Calculate the remainder when 412/20 + (-6)/10 is divided by j(4).
9
Let z(j) = -4*j + 0 - j**2 + 2*j**2 - 3 - 3. What is the remainder when z(-8) is divided by 31?
28
Suppose 3 = 2*f + f. Let t(u) = -u - 3. Let n be t(5). What is the remainder when (8/6)/(n/(-18)) is divided by f?
0
Let n = -30 + 2. Let z = n - -62. Calculate the remainder when z is divided by 15.
4
Let g = -9 - -17. Let u = g + -4. What is the remainder when 14 is divided by u?
2
Suppose -2*y - 5*i + 6 + 5 = 0, 2 = -y + 5*i. What is the remainder when (4*((-119)/(-56) - 2))/(-1)*-58 is divided by y?
2
Let m = 1795 - 1051. Suppose -o - m = -5*o. Suppose -f + 7*f = o. What is the remainder when f is divided by 8?
7
Let k = -1665 + 1678. Calculate the remainder when 34 is divided by k.
8
Suppose 3*k - 5*x = -22, 3*x - 5 = 5*k + x. What is the remainder when ((-30)/35)/(k/(-7)) is divided by 2?
0
Suppose 0 = 9*c - 541 - 8. What is the remainder when c is divided by 31?
30
Let y = 48 - 26. Suppose 2*v = 4*v - y. Suppose 3*w - v*w + 152 = 0. Calculate the remainder when w is divided by 7.
5
Let h be 2 + 10 + 1 + 3. Calculate the remainder when 69 is divided by (3 + h/(-3))*(-12)/2.
13
Let a(q) be the first derivative of q**3/3 + 2*q**2 - 3*q + 4. Let o = 68 + -35. Calculate the remainder when o is divided by a(-7).
15
Let a(d) be the first derivative of -d**2 - 13*d - 18. Suppose -4*p + 97 = -11. What is the remainder when p is divided by a(-10)?
6
Suppose 20*f - 89 - 251 = 0. Calculate the remainder when 184 is divided by f.
14
Suppose -9*c + 7*c = -44. Calculate the remainder when 6818/63 - (-4)/(-18) is divided by c.
20
Suppose 51*a = 49*a - 5*h + 23, -4*h = 3*a - 38. What is the remainder when 52 is divided by a?
10
Let j = 1 - 3. Calculate the remainder when 33 is divided by 1 + 2 + (j - -16).
16
Suppose -3*f = -4 - 11. Suppose f*p - 4*p = 5. Let y(i) = -3*i. What is the remainder when y(-8) is divided by p?
4
Suppose 2*g - 30 = -3*g. Suppose g*u - u + 20 = 0. Calculate the remainder when -1 - (-4)/(u/(-57)) is divided by 19.
18
Suppose -8*x = 2*x - 270. Calculate the remainder when x is divided by 13.
1
Let o(p) = 9*p**2 + 99*p - 10. What is the remainder when o(-14) is divided by 74?
72
Suppose 5*h - 198 = 3*w, h = -2*h + 2*w + 118. Suppose 6*u - 128 = -32. Calculate the remainder when h is divided by u.
10
Suppose 7*n = 2*n + 490. What is the remainder when n is divided by (50/(-4))/(9/(-18))?
23
Let m(q) = q**3 + 4*q**2 - 6*q - 1. Suppose 9*y - 24 = 6*y. What is the remainder when (2 - -5) + y/((-8)/(-3)) is divided by m(-5)?
2
Suppose -5*d - 31 = -121. Calculate the remainder when 2/(0 - (-4)/66) is divided by d.
15
Let b be 1/4 - (-127)/4. Let p = b - 19. Calculate the remainder when (2/(-3))/((-2936)/(-294) - 10) is divided by p.
10
Suppose 40 = 3*z + 4. Let r(j) = 483*j + 2013. Calculate the remainder when r(-4) is divided by z.
9
Let d = 39 + -41. Let m = 7 + d. Calculate the remainder when 12 is divided by m.
2
Suppose -10*f + 25 = -8*f - 3*y, f - y - 15 = 0. Calculate the remainder when 117 is divided by f.
17
Suppose 16*i + 40 = 488. What is the remainder when 193 is divided by i?
25
Let r(w) = 2*w**3 + 4*w**2 - 2*w - 2. Let h(a) = a**3 + a. Let v(b) = h(b) - r(b). Let o be v(-5). What is the remainder when 10 is divided by 8/3*o/8?
2
Suppose 7*j = -67 + 116. Let b(w) = -w**2 - 8*w - 6. What is the remainder when b(-5) is divided by j?
2
Suppose -3*s = y + 122 - 209, 3*s = 5*y - 507. What is the remainder when y is divided by 35?
29
Let v(a) = -a**3 + 18*a**2 - 17*a + 15. Let u(l) = 4*l**3 - l. Let j be u(-1). Calculate the remainder when j - (-1)/(3/138) is divided by v(17).
13
Suppose -8*b + 3*b - 5*p = -15, -3*b - p + 9 = 0. Let v be (112/48)/(1/b). Let k(y) = -y**2 + 9*y + 4. What is the remainder when 31 is divided by k(v)?
13
Suppose t + 5*j + 0 - 4 = 0, 0 = -2*j. Let k = -126 - -136. Suppose -k*y + 12 = -8*y. What is the remainder when y is divided by t?
2
Suppose -59 = f - 77. Calculate the remainder when 84 is divided by f.
12
Let s(i) = i**3 - 3*i**2 - 2*i + 1. Let y be s(2). Let u(d) = -8*d - 2. Calculate the remainder when u(y) is divided by 14.
12
Let n(v) = -3*v + 25. Suppose 4*y + 0*y + 24 = 0. What is the remainder when n(y) is divided by 11?
10
Suppose 4*u - 5*u + 3*q = -66, 0 = -4*q + 16. Suppose 4*v + 5*g - 108 = 0, 0*v - g + 54 = 2*v. Calculate the remainder when (u/(-9))/(-1)*9 is divided by v.
24
Let s = -464 - -498. What is the remainder when 53 is divided by s?
19
Suppose -13*p - 105 = -28*p. Calculate the remainder when 13 is divided by p.
6
Let l = -371 - -560. Let u = -127 + l. What is the remainder when u is divided by 13?
10
Let x be 1 - 6*(-4 - 20/(-6)). Suppose -63 = -x*k + 