- 3*h + 20. Suppose 3*z - 46 = -3*t + 41, 5*z = q*t - 71. What is the remainder when 634/14 - (-30)/(-105) is divided by t?
21
Suppose 0 - 17 = r. Suppose 16 = -4*a, 3*j + 4*a - 53 - 15 = 0. Let i = j - r. Calculate the remainder when i is divided by 16.
13
Suppose b - 3 - 2 = 0. Suppose b*c + 3*c = 32. Suppose 0 = -n + 3*n - 14. What is the remainder when n is divided by c?
3
Let w(c) be the third derivative of -c**4/24 + 2*c**3/3 - c**2. Let l be w(-5). What is the remainder when (-3 - l/(-3)) + 20 is divided by 7?
6
Suppose -4 = -2*z, 4*q + 0 - 8 = 4*z. Let o = -526 - -529. Calculate the remainder when q is divided by o.
1
Suppose 12*l - 313 + 37 = 0. Calculate the remainder when 80 is divided by l.
11
What is the remainder when 58 is divided by (23 + 7)/(-5) + 18?
10
Let c be (2/(-5))/(6/(-30)). Suppose c*p - 25 = p. What is the remainder when 98 is divided by p?
23
Let s be (6/5)/(144/240). Suppose 3*h - 240 = -2*h. Suppose r - h = -s*r. What is the remainder when 46 is divided by r?
14
Suppose 4*q - 4*d + 20 = 0, 5*q - d + 6*d = -65. Let n = -5 - q. Suppose -s - 151 = -n*b, 5*b - 160 - 31 = -s. What is the remainder when b is divided by 10?
8
Let t = 2655 - 2098. Calculate the remainder when t is divided by 6.
5
Let j = 18 + -7. Let l = -113 + 118. Suppose -23 = 10*m - 11*m - 4*i, l*m - 10 = i. Calculate the remainder when j is divided by m.
2
Suppose -2*f + 429 = w, 2*w = -4 - 6. What is the remainder when f is divided by 60?
37
Let g(y) = y**3 - 8*y - 1. Let u be g(-4). Let w = u - -45. Suppose 0 = -5*d - 0*d + 225. Calculate the remainder when d is divided by w.
9
Suppose -4*g = -4*n - 528, -g + 10*n - 5*n = -144. Calculate the remainder when g is divided by 11.
8
Let j(c) = -12*c - 463. What is the remainder when 182 is divided by j(-40)?
12
Let m = -206 + 289. Calculate the remainder when m is divided by 55.
28
Let t = -12 - -29. Let g = -124 - -151. Suppose -2*f + g = -67. What is the remainder when f is divided by t?
13
Let k(o) = o**2 + 4*o + 6. Let j be k(-4). Suppose 70 = y + 65, -5*x - 5*y = -20. Calculate the remainder when (-41)/x - (j - 10) is divided by 12.
9
Suppose 6*y = -5*y + 385. Calculate the remainder when y is divided by 142/8 - (-2)/8.
17
Let o = 289 + -271. What is the remainder when 91 is divided by o?
1
Suppose 5*j + 0*v = -2*v + 10, -3*j + 5 = v. Suppose j = -2*p + 8 + 66. Let u(h) = -h**3 - 4*h**2 - h - 17. What is the remainder when p is divided by u(-5)?
11
Suppose 0*d + 5*d = -a + 146, 4*d - 111 = 5*a. Calculate the remainder when d is divided by 18.
11
Let n(u) = -u**3 + 11*u**2 + 16*u - 14. Let b be n(12). Let g = 25 - b. Let z = 20 + g. What is the remainder when 42 is divided by z?
9
Calculate the remainder when 114 is divided by (-2)/(2 - (-252)/(-123)) + 6.
20
Suppose 3132 = 41*d + 17*d. Calculate the remainder when d is divided by 44.
10
Let c(t) = 1 + 1 + 0*t + 21*t + 14*t. Calculate the remainder when c(1) is divided by 20.
17
Suppose 0 = -5*f - x + 2237, -7*x = -2*f - 5*x + 902. What is the remainder when f is divided by 75?
73
Let j(q) = 9 - q**2 - 5 - 12*q + 0. Calculate the remainder when j(-10) is divided by 10.
4
Suppose -41*h + 38*h + 255 = 0. Suppose -2 + 13 = -s. Let a = h + s. Calculate the remainder when a is divided by 19.
17
Let w(p) = p + 67. Calculate the remainder when w(-19) is divided by 11.
4
Suppose g + 10 = 2*i + 2*i, -4*g = -4*i + 16. Suppose 3*a + t = 2*t + 52, -i*t = -4*a + 70. Calculate the remainder when 6/(-24)*-134*2 is divided by a.
16
Suppose -5*r - 6 = -31. Suppose -4*b = 3*f - 351, 5*b = 2*b + r*f + 285. Let y = -47 + b. What is the remainder when y is divided by 11?
10
Let f be 2545/25 - 4/5. Let x be 2*95 - (-2 + 1). Let d = x - f. What is the remainder when d is divided by 23?
21
Suppose -48*t + 11918 = 638. What is the remainder when t is divided by 6?
1
Let p = 33 - 45. What is the remainder when 72 is divided by (-3)/(p/222*(-6)/(-4))?
35
Let p = 14 + -6. Let a = p + -3. Let i(l) = 4*l. What is the remainder when a is divided by i(1)?
1
Let l(a) = a**3 + 7*a**2 + 2*a + 16. Let k be l(-7). Suppose 354 = k*s - v, s - 175 = -5*v + 24. Calculate the remainder when s is divided by 45.
44
Let g be 0*(-3 + (-10)/(-4)). Suppose g = -2*s + 5*c + 26, s = c + 4*c + 3. Calculate the remainder when s is divided by 12.
11
Suppose 108 = k + 3*k. Let u(s) = -4 - 19*s + 28*s - 16*s. Calculate the remainder when k is divided by u(-2).
7
Let z = 65 - 13. What is the remainder when z is divided by 19?
14
Suppose -13*c = -5995 + 1731. What is the remainder when c is divided by 47?
46
Let o(l) = l**2 - 13*l + 2. Let u be o(13). Suppose u*r - 32 = -2*y - r, 17 = y + r. Calculate the remainder when y is divided by 12.
7
Let a be (9/6 + -1)*0. Let i(k) = -2*k + 23. What is the remainder when 88 is divided by i(a)?
19
Suppose -1 = u - 3*b - 3, -5*u = -2*b - 49. Let j(o) be the second derivative of -5*o**3/6 + 4*o**2 + 3*o. Calculate the remainder when j(-7) is divided by u.
10
Let k(j) = -138*j + 4. Let q be k(-6). Suppose 0 = 8*v + 5*v - q. What is the remainder when v is divided by 13?
12
Let t(l) = -2*l**3 + l**2 + 8*l + 82. Suppose 0 = i + 4*c - 17, -5*i + 34 = -3*i - 4*c. Calculate the remainder when t(0) is divided by i.
14
Let b(l) = -16*l + 66. Suppose -4*v + 165 = v. Calculate the remainder when b(-2) is divided by v.
32
Let b = 41 - 17. Let h(o) = 92*o**2 + 9*o + 10. Calculate the remainder when h(-1) is divided by b.
21
Let f = -69 + 64. What is the remainder when 114 is divided by (2/(-8))/(f/460)?
22
Let f be 0/(-3 - (-3 + 3)). Suppose -5*l = 15, -5*o + 2*l + f*l + 61 = 0. Calculate the remainder when 43 is divided by o.
10
Suppose 0 = 2*t - 63 + 13. Let u = t + -15. Let z = 23 - 17. What is the remainder when u is divided by z?
4
Let z = -83 + 176. Calculate the remainder when z is divided by 16.
13
Suppose -5*i - 5*q = -10, 6*i - 4*i - 7 = q. Calculate the remainder when ((-1)/i)/(1/(-426 - 3)) is divided by 48.
47
Let n be -10*8/10*1. Let i be (18/n)/((-12)/32). Calculate the remainder when 64 is divided by (28 - i/3) + -4.
20
Let s(a) = a**3 - 4*a**2 - 3*a + 1. Let f(z) = 1 - 2 - 1 + z. Let v be f(7). Calculate the remainder when 40 is divided by s(v).
7
Suppose -22 = 3*h + 3*s - 103, -4*h + 5*s = -90. Let j(g) = 6*g**2 - 9*g + 46. What is the remainder when j(0) is divided by h?
21
Suppose -326 - 118 = -4*i. Calculate the remainder when i is divided by 44.
23
Let p = 75 + 100. What is the remainder when p is divided by 59?
57
Suppose -91*q + 1632 = -79*q. What is the remainder when q is divided by 99?
37
What is the remainder when (-4 + -23)/(30/(-9) - -3) is divided by 27?
0
Let d(i) = 156*i - 16. Calculate the remainder when d(1) is divided by 50.
40
Suppose i - 146*d = -150*d + 403, -4*i + 1632 = -4*d. What is the remainder when i is divided by 46?
39
What is the remainder when (-2144)/(-80)*((-24)/(-3) - 3) is divided by 34?
32
Let i(b) = 9*b - 6. Suppose p - 2 = -3*c - 10, -5*p - 3*c = 4. What is the remainder when i(5) is divided by (p - 9)*(-84)/48?
11
Suppose -9*v + 5*a + 202 = -6*v, -4*a - 328 = -5*v. Let y(l) = l**3 + 6*l**2 - l + 3. What is the remainder when v is divided by y(-5)?
31
Suppose 4*p - 2*p - 174 = 0. Suppose 4*h = -o + 43 + 177, o - 166 = -3*h. Let q = h + -36. Calculate the remainder when p is divided by q.
15
Calculate the remainder when 6 - 11305/(-45) - 2/9 is divided by 49.
12
Let y(r) = -r**3 - r**2 + r + 1. Let t be y(-1). Suppose t = -7*w + 12*w. Let s(m) = -m**2 + m + 20. What is the remainder when s(w) is divided by 7?
6
Let l(r) = -7*r + 12 + 3*r**2 - 2 - 4*r**2. Calculate the remainder when 77 is divided by l(-6).
13
Suppose 3 = -8*p + 35. What is the remainder when 64 is divided by 152/12 + 1 + p/(-6)?
12
Let r = -8 + 11. Suppose -3*t = 4*z - 32, -4*z = -t - r*t - 4. Calculate the remainder when 121 is divided by (-188)/(-6) + t/(-12).
28
Suppose 0 = -3*a - 4*w + 125, -w = 2*a + a - 128. Calculate the remainder when 254 is divided by a.
39
Suppose -87 = 4*p - 123. Calculate the remainder when 81 is divided by p.
0
Calculate the remainder when 36 is divided by ((-1)/3)/(32/(-960)).
6
Suppose -m = -4*m + 5*n + 121, -2*m + 5*n = -84. Let j = m + -15. Calculate the remainder when 63 is divided by j.
19
Let z(a) = -5*a**3 + 4*a**2 