Calculate the remainder when 75 is divided by f(v).
19
Suppose 1735 = 944*q - 979*q + 4605. What is the remainder when 4754 is divided by q?
80
Let n(x) = -x**3 + 15*x**2 - 2*x + 11. Suppose -12 + 4 = -q - y, -5*y - 20 = -q. What is the remainder when n(14) is divided by q?
9
What is the remainder when 46 is divided by 30/5*(-19 + 21)?
10
What is the remainder when 254 is divided by -1 - -17 - (13 + -21 + 8)?
14
Let a be (-1 - 7/(-5)) + 186/(-15). Let z be (-1 + (-15)/a)*16. Suppose 5*h - 2*h = 4*p - 106, z*h + 48 = 2*p. What is the remainder when p is divided by 6?
4
What is the remainder when 219 is divided by ((-46)/(-4))/(-25 + 3322/132)?
12
Suppose -2*j + 18 = 4*k, 2*j - 3*k = -k + 60. Calculate the remainder when 622 is divided by j.
1
Let f = 173 + -83. Suppose -12 = 2*l + f. Calculate the remainder when 6025/85 - 6/l is divided by 25.
21
Let v = 2615 + -2344. Calculate the remainder when v is divided by 64.
15
Let n = 108 + 433. Calculate the remainder when n is divided by 541.
0
Suppose 11*m + 7*t - 2158 = 5*t, 5*t = -2*m + 397. Calculate the remainder when m is divided by 184.
12
Let x(g) be the third derivative of -g**5/60 + 2*g**4/3 + 7*g**3/2 + 17*g**2 + 2*g. Let q be (-2 + 63/6)*2. Calculate the remainder when 17 is divided by x(q).
1
Suppose -2*n = 4*t + 211 + 55, -2*t + 149 = -n. Let q = n + 152. What is the remainder when q is divided by 4?
3
Let d = 21104 - 20942. What is the remainder when d is divided by 24?
18
Let b(d) = -d**3 + 38*d**2 - 78*d - 97. Suppose -17 = -f + 3*z, z - 117 = -7*f + 2*f. Calculate the remainder when b(35) is divided by f.
20
Let y = 8345 - 3969. What is the remainder when y is divided by 151?
148
Calculate the remainder when 26860/(-40)*20/(-170) is divided by (-45)/(-3)*2/3.
9
Let s = 15613 - 13743. What is the remainder when s is divided by 48?
46
Let y = 65 + -35. Suppose 2226*d = 786*d + 5760. Calculate the remainder when y is divided by d.
2
Suppose 35 = 4*z - 21. Let l(i) = -2*i**2 + 0*i + 19*i**2 + i - 9*i**2 - 7*i**2 + 22. What is the remainder when l(5) is divided by z?
10
Let m(c) = 81*c - 37. Suppose -13*a + 18*a = 10. Calculate the remainder when m(a) is divided by 32.
29
Let v = -222 - -225. Suppose v*k + 274 = 5*x, 0*x - 4*k = -x + 65. What is the remainder when x is divided by 6?
5
Let v be 21/49 + (-374)/7. Let y = -30 - v. What is the remainder when y is divided by 0 + (-186)/(-18) + 3/(-9)?
3
Let u = 13272 + -7510. Calculate the remainder when u is divided by 31.
27
Let r = -1924 + 2318. What is the remainder when r is divided by 21?
16
Suppose -2*f - 2*o + 14 = 0, 2*f = -f + 3*o + 3. Suppose f*d - d = 18. Calculate the remainder when d is divided by 4.
2
Suppose -3*f - 2*f = 1045. Suppose 43516 = 603*p - 35*p - 62*p. What is the remainder when p is divided by f/(-9) + 6/(-27)?
17
Suppose 0 = -48*q + 62470 - 4534. Calculate the remainder when q is divided by 599.
9
Let k(d) = 5*d + 61. Suppose -6*c + 1968 = -216. What is the remainder when c is divided by k(0)?
59
Let r be (2 - 25/(-5)) + -1. Suppose g + r*g = 693. Let z = 156 - g. What is the remainder when z is divided by 20?
17
Let i = -112 + 429. Let p(z) = 1865*z + 10. What is the remainder when i is divided by p(0)?
7
Let f(w) = 9 + 139*w**2 - 138*w**2 + 3*w + 7. Let h(b) = 5*b - 1. What is the remainder when h(8) is divided by f(-4)?
19
Let u(w) = -478*w - 1492. Calculate the remainder when u(-6) is divided by 153.
152
Let w be 62/22 - 1*10/(-55). Suppose -2*p + 5*y = w*p - 1225, 2*y - 950 = -4*p. What is the remainder when p is divided by 11?
9
Suppose -661 = 5*f - 3*w, 2*f - w + 131 = f. Suppose 2755*p - 2160 = 2767*p. Let v = f - p. Calculate the remainder when 85 is divided by v.
39
Suppose -4*d - 11*y = -14*y - 65, -y = d - 18. What is the remainder when d is divided by 180/(-24)*8/(-6)?
7
Let i be (-142)/(-6) - (-154)/(-231). Suppose -k - 12 = -4*a, 5*a + 15 = 3*k + i. Calculate the remainder when 197 is divided by a.
1
Suppose -264767 - 14148 = -93*o + 388639. Calculate the remainder when o is divided by 20.
18
Let l be (11 + -24)*(-1 + 2). Let p = 40 + l. Suppose 11 = 2*t - p. What is the remainder when 53 is divided by t?
15
Let u(v) = -11*v + 6. Let s = -67 - -70. Let h be u(s). Let q = h - -43. What is the remainder when 94 is divided by q?
14
Calculate the remainder when ((-66)/30)/((-18)/3870) is divided by 158.
157
Let s = 1497 - 1017. Let f = -435 + s. Calculate the remainder when 133 is divided by f.
43
Suppose 0*u = -5*u + 10, -c - 4*u = -15. Calculate the remainder when 51 is divided by c.
2
Suppose 0 = 23*p + 41 - 1099. Calculate the remainder when 62 is divided by p.
16
Let g = -15597 + 18074. What is the remainder when g is divided by 823?
8
Let c(u) = -293 - 256 + 46 + 85*u + 115. Calculate the remainder when 332 is divided by c(5).
36
Calculate the remainder when 1732 is divided by 2146/6*33/55 - (-10)/25.
12
What is the remainder when (30/(-21))/5 + (41008/56 - 0) is divided by 341?
50
Let h = 880 - 264. Suppose 3*d = 31*d - h. What is the remainder when 283 is divided by d?
19
Calculate the remainder when (26/39)/(2*2/696) is divided by 5/(-2) + 105/10.
4
Calculate the remainder when 139 is divided by ((-1110)/105)/((-1)/7).
65
Suppose -5*x = -5*q + 3575, -4*q + 2414 + 460 = -2*x. What is the remainder when 1453 is divided by q?
9
Suppose -3*p - 474 = -4*v, 40*p + 484 = 4*v + 42*p. Calculate the remainder when v is divided by 107.
13
Let w(b) = -b**2 + 27*b - 115. Let p(i) = i**2 - 28*i + 116. Let a(x) = -4*p(x) - 5*w(x). What is the remainder when 145 is divided by a(18)?
19
Let t = -5831 - -6057. What is the remainder when t is divided by 133?
93
Let c(j) = -3*j + 55. Let z be c(20). What is the remainder when 90 is divided by 28 - z*3*(-2)/6?
21
Suppose 9348 = 50*y + 1748. What is the remainder when y is divided by 16?
8
Let a be (-19 + 24)/(1/17). Suppose 6*m = m - v + 253, -2*m + 5*v = -a. Suppose -h + 4 = -10. Calculate the remainder when m is divided by h.
8
Let d = 53 + -51. Suppose -d*z + 40 - 22 = 0. Let r(t) = 3*t**2 - 25*t - 3. What is the remainder when 57 is divided by r(z)?
12
Let y(r) = -169*r + 1333. What is the remainder when y(7) is divided by 118?
32
What is the remainder when 512 is divided by -1*(-1 - 10 - 10)?
8
Suppose z - 5*l = 5*z - 628, -2*l - 8 = 0. What is the remainder when z is divided by -18 + (29 - (-2 + -20))?
30
Suppose 1690 = -11*h + 392. Let d = -84 - h. What is the remainder when 302 is divided by d?
30
Suppose 2*y - 6 = 2*w - 2, -14 = -3*y + w. What is the remainder when 44 is divided by y?
2
Let z(l) = l**2 + 5*l + 6. Let b(g) = 115*g + 6 - 58*g + 7 - 56*g. Calculate the remainder when b(3) is divided by z(-5).
4
Let a be 6/(-12)*868/2. Let x(s) = -53*s**3 - 3*s**2 - 3*s - 6. Let u be x(-2). Let t = u + a. Calculate the remainder when t is divided by 49.
48
Let c(u) = 50*u**2 - 173*u + 1150. What is the remainder when c(7) is divided by 171?
166
Suppose 19*p = 16*p + 18. What is the remainder when 531/p*2/3 is divided by 12?
11
Let h be ((-15)/(-6))/(2/4). Let w be 2*(-4 + h) + 3. Suppose 228 = 5*f - 3*n, -205 = -w*f + 4*n + 24. Calculate the remainder when f is divided by 23.
22
Let l(j) = j**3 + 5*j**2 + 16*j + 16. Let y be l(-7). Let q = -173 - y. Let d(t) = -t**2 - t + 102. Calculate the remainder when d(0) is divided by q.
18
Let k = -26142 + 26155. Calculate the remainder when 20823 is divided by k.
10
Suppose 5*s = 92*f - 87*f + 11590, 11596 = 5*s + f. Calculate the remainder when s is divided by 25.
19
Let d(l) = 52*l - 536. Calculate the remainder when 226 is divided by d(11).
10
Suppose -5817 = -277*w + 554. What is the remainder when 387 is divided by w?
19
Suppose -4*z + 91 = -37. Suppose -2*k = -3*x - 37 - 60, -82 = 3*x + k. Let t = x - -40. What is the remainder when z is divided by t?
10
Let b = -62 + 61. Calculate the remainder when 133 is divided by (b + -1)*(-1820)/104.
28
Let b(p) = -178*p - 3. Let t be b(-1). Suppose 2*s + 3*v = 18 + 52, -3*v = 5*s - t. What is the remainder when s is divided by 8?
3
Let y be (0 - 1)/(-2*(-9)/(-18)). What is the remainder when 193 is divided by y/3 + 393/9?
17
Let i = -551 + 566. What is the remainder when 431 is divided by i?
11
Let r be (-72)/10*(-8)/(32/20). Let u = 126 - r. Calculate the remainder w