 remainder when t is divided by 20.
4
Let o(v) be the first derivative of 4*v**3 - 3*v**2/2 + 4*v - 23. What is the remainder when 43 is divided by o(1)?
4
Suppose 3*x = 8*x - 105. What is the remainder when 83 is divided by x?
20
Let b(z) = -z**3 - 8*z**2 - 2*z - 6. Let c be b(-8). Suppose -57 + c = -m. What is the remainder when m is divided by 24?
23
Calculate the remainder when 94503/357 + 2/(-14)*-2 is divided by 89.
87
Suppose 0 = 30*y - 34*y + 116. Calculate the remainder when y is divided by 4.
1
Let v = -70 + 100. Let j = v + -17. What is the remainder when (-4)/14 - (-1035)/21 is divided by j?
10
Calculate the remainder when 64 is divided by (-3)/(-5) + 3340/100.
30
Let k = -2248 + 2277. What is the remainder when 2/(171/168 - 1) is divided by k?
25
Suppose -4*l = -16 - 4. Suppose -4*o - 3 + 84 = -3*h, -l*o + 107 = 2*h. Calculate the remainder when 40 is divided by o.
19
Let y(b) = -2*b**3 - b + 1. Let d(v) = -v**3. Let j(g) = -d(g) - y(g). Let r = 175 - 162. Calculate the remainder when j(2) is divided by r.
12
Suppose 2*h + 63 + 37 = 4*v, 0 = 2*v + h - 46. What is the remainder when v is divided by (55/20)/11 + (-102)/(-8)?
11
Suppose -u - 82 = -235. Calculate the remainder when u is divided by 75.
3
Let o(i) = -2*i**2 + 59*i + 38. Calculate the remainder when o(24) is divided by 48.
14
Let a = -228 - -284. Calculate the remainder when a is divided by 11.
1
What is the remainder when -568*9/(-6)*12/36 is divided by 36?
32
Let u = 29 + -121. Let w(j) = 4*j**2 - 3*j + 4. Calculate the remainder when w(-3) is divided by 91/2*u/(-161).
23
Let c(z) = -99*z - 1278. What is the remainder when ((-60)/(-1))/((-6)/(-8)) is divided by c(-13)?
8
Let d = 30 - 28. Suppose 0 = 3*h - 13 - d. What is the remainder when 29 is divided by h?
4
Suppose -11*k = -23 + 1. Suppose -2*c - 4*r - 135 = -7*c, k*c - 54 = -2*r. What is the remainder when c is divided by 5?
2
Suppose 0 = -6*o - 8 + 38. Suppose -6*p + p = -2*y + 39, 3*y - 96 = -o*p. Calculate the remainder when 134 is divided by y.
26
Let s(v) be the second derivative of -5/3*v**3 + 7/2*v**2 - 1/12*v**4 + 0 - 3*v. Calculate the remainder when 89 is divided by s(-8).
20
Suppose r + 2*b = 25, 4 + 0 = -b. Let x = 16 + r. Calculate the remainder when x is divided by 10.
9
Let s(v) = -v**3 + 20*v**2 - v + 23. Let b be s(20). Suppose 0 = -u - 5*g + 44, -g + 35 = b*u - 41. Calculate the remainder when 66 is divided by u.
18
Calculate the remainder when -6 + 2 + 96/6 is divided by 20/(-70) - (-74)/14.
2
Suppose -15 = 5*z, 9*n - 11*n + 309 = 5*z. What is the remainder when n is divided by 52?
6
Suppose 9 = -5*u + 14. Let b(h) = 2*h**3 + 1. Let g be b(u). Suppose 4*z + 1 - 116 = -g*v, 4*z = -2*v + 78. Calculate the remainder when v is divided by 13.
11
What is the remainder when (2 - -298 - 2)/(1 - -1) is divided by 39?
32
Suppose -u = 107*k - 108*k - 195, 2*u - 360 = -3*k. Let d = 40 - 28. What is the remainder when u is divided by d?
9
Let z(k) be the first derivative of -k**3/3 + 3*k**2/2 + 4*k - 1. Calculate the remainder when 0 + -3 + 9 + 15/3 is divided by z(3).
3
Let x = -11 + 42. Let h(v) = v**3 - 9*v + 5*v - 23 - 7*v**2 - 2*v**3 + 18. What is the remainder when h(-8) is divided by x?
29
Let p(z) = -z**3 - 3*z**2 + 4*z + 2. Let m be p(-4). Calculate the remainder when 138 is divided by (65/(-25) + -3)*(-5)/m.
12
Let t(b) = 5*b**2 + 13*b + 17. Calculate the remainder when 95 is divided by t(-2).
7
Suppose n + 4*k - 77 = -k, 3*n - 163 = 2*k. Suppose m - 2 = -0, 60 = 2*g + 4*m. Calculate the remainder when g is divided by (n/(-12) + 5)/((-2)/(-56)).
5
Let c be (-158)/14 - 6/(-21). Calculate the remainder when 29 is divided by (6/(-4))/(c/66) - 1.
5
Let f = -20 - -23. Suppose 0 = -f*v + 137 + 943. Suppose -5*p = -10*p + v. Calculate the remainder when p is divided by 25.
22
Suppose -7*r + 2665 = 2595. Suppose 0*z = 4*z - 12. Calculate the remainder when r is divided by z.
1
Let u(d) = d + 20. Suppose r = -2 + 4. Suppose 2*w = 3*z + 72, w - r*z + 0*z - 34 = 0. What is the remainder when w is divided by u(-9)?
9
Suppose -2*b = -3*j - 47, 0 = b - j + 3*j - 6. What is the remainder when 61 is divided by b + -15*(-4)/12?
19
Let f(s) = -s**2 + 12*s - 25. Let t(a) = -a**2 - 1. Let u(z) = f(z) - 2*t(z). Calculate the remainder when u(-17) is divided by 32.
30
Let v(r) = 21*r - 17. Suppose 2*h = -2*h + 192. Suppose -2 = -2*i, 3*g + 17 = -4*i + h. Calculate the remainder when v(2) is divided by g.
7
Suppose -2*l = 12 + 42. Let h = -151 + 133. Let g = h - l. What is the remainder when 41 is divided by g?
5
Let j be (-52)/(-6) + (-3)/(-9). Suppose -4*y - 165 = -j*y. Calculate the remainder when y is divided by 7.
5
Let i be (1/2)/((-13)/(-6734)). Suppose -8*q + i = -q. What is the remainder when q is divided by 10?
7
Suppose 0 = -50*i + 68*i - 234. Let r(l) = l + 2. Let s be r(3). Suppose s*y - 294 = 86. Calculate the remainder when y is divided by i.
11
Let o(x) = 4*x - 6. Let q be o(4). Suppose 0 = -7*v + q*v - 279. What is the remainder when v is divided by 48?
45
Let q = -161 + 174. What is the remainder when 75 is divided by q?
10
Suppose 2*i + 36 + 18 = 0. Let b = -20 - i. What is the remainder when 27 is divided by b?
6
Suppose -6*h = -3*x - 8*h + 81, 4*x - h = 108. Calculate the remainder when 70 is divided by x.
16
Let a = 996 + -976. What is the remainder when a is divided by (-1 + 0 - -2)*11?
9
Suppose -18 = -2*s - 0. Let j = 154 - 104. Suppose 3*d - c + 2*c - j = 0, 3*c - 86 = -5*d. Calculate the remainder when d is divided by s.
7
Let f = 31 - 23. Let b(i) = i**2 - 5*i + 1. Suppose -2*a + 23 = -75. What is the remainder when a is divided by b(f)?
24
Suppose -h + 2 - 5 = -2*c, 0 = -3*c + 3*h. What is the remainder when (12/(-7))/(60/(-840)) is divided by c?
0
Suppose -5*s + 2*j - 18 + 8 = 0, 15 = 2*s + 3*j. Suppose -6*p + 2*p = s. Suppose -4*d + 3*d + 6 = p. What is the remainder when 39 is divided by d?
3
Let q(v) = -v**3 + 22*v**2 - 20*v - 7. Let h = 39 + -3. What is the remainder when h is divided by q(21)?
8
Let u(x) = -6*x - 21. Let z be u(5). Let j = -7 - z. Calculate the remainder when j is divided by 23.
21
Let k(u) = 11*u**2 + 8*u - 7. Let x be k(5). Calculate the remainder when x/12 - 6 - 2/3 is divided by 12.
7
Suppose -4*m = -v + 5 - 87, -m - v + 23 = 0. Let b(k) = -k**2 - 9*k - 7. What is the remainder when m is divided by b(-3)?
10
Suppose -3*l + 320 = 17*l. What is the remainder when 28 is divided by l?
12
Let k(o) = -6*o - 48. Calculate the remainder when 141 is divided by k(-9).
3
Suppose -3*o = -k - 25, -5*k = 4*o - 2 - 6. Let l = -3 + o. Suppose -l*d + 48 = -32. Calculate the remainder when 77 is divided by d.
17
Suppose 3*u = -12 - 9. Let y = u + 9. Calculate the remainder when 4 is divided by y.
0
Suppose -118*y = -9851 - 17525. What is the remainder when y is divided by 50?
32
Suppose 0 = -5*c - 4*n + 462, 0 = -c + 3*c + 2*n - 186. Calculate the remainder when c is divided by 31*((-15)/(-3) - 4).
28
Let t(u) = u**3 + 10*u**2 + 15*u - 3. Suppose 14 = 12*n + 110. Let b(x) = -x**3 + 4*x**2 + 2*x - 3. What is the remainder when b(3) is divided by t(n)?
2
Calculate the remainder when 267 is divided by (3*804/(-54))/(8/(-12)).
66
Let r(h) = h**3 + 12*h**2 - 2*h + 14. Calculate the remainder when (-2 - (4 - 9))/((-21)/(-742)) is divided by r(-12).
30
Let t be 1/(-3) + (-138)/18. Let f = 10 + t. Calculate the remainder when (-2)/(f/(-1)) + 79 is divided by 27.
26
Suppose 7*h + 614 = 2315. What is the remainder when h is divided by 35?
33
What is the remainder when (1 - 390/(-12))/((-4)/(-8)) is divided by 33?
1
Let f(q) = q**3 - 10*q**2 + q - 10. Let d be f(10). Suppose 4*o = -5*y + 102, 0 = -y + 5*o + 3 - d. What is the remainder when y is divided by 7?
4
Let g(f) = -67*f + 187*f - 63*f - 58*f + 6. Let l(h) = -h**2 + h + 4. Let s be l(-3). Calculate the remainder when 27 is divided by g(s).
13
Let b(l) = 21*l**3 - l**2 + 2*l - 1. Let v = -23 + 47. Suppose o - 5*x = -0*o - v, -11 = -o - 2*x. What is the remainder when 60 is divided by b(o)?
18
Let q(w) = -2*w**2 + 5*w + 7. Let j be q(3). Suppose j*f = i - 1, 5*i = -4*f + 1 + 4. What is the remainder when 3 is divided by i?
0
Suppose 975 = 1242*r - 1227*r. Suppose -2*k - 2*m - m - 43 = 0, m = -3. Let l = k + 34. Calculate the remainder