. Suppose -6*z + 2*g = -z, 29 = 2*z + 5*g. Calculate the remainder when x is divided by (4 - 0 - 15)*(-2)/z.
5
Let r(u) = 16*u + 6*u - 2*u**2 + 1506 + 14*u - 1576 + 4*u. Calculate the remainder when 239 is divided by r(15).
79
Let a = -506 - -509. Suppose -5*k + k = 2*u - 32, 35 = a*k - 4*u. Calculate the remainder when 50 is divided by k.
5
What is the remainder when 622 is divided by ((-4)/6 + 9 + (-52)/6)*-72?
22
Let m(q) = -3*q**2 + 236*q - 1237. What is the remainder when 1011 is divided by m(72)?
199
Let f be (4/(-5))/(12/2280). Let h be (-19)/f + 31/8. Suppose 21 = h*c + 5*z - 9, -26 = -3*c - 2*z. Calculate the remainder when 68 is divided by c.
8
Let n = 547 + -495. Calculate the remainder when 114 is divided by n.
10
Suppose -8*z + 11471 = 9095. What is the remainder when z is divided by 116?
65
Suppose -7*s + 5*s - 598 = 0. Let y = 305 + s. Calculate the remainder when 10 is divided by y.
4
Let l(s) = 17*s + 2. Let p be l(-15). Let w = p - -342. Calculate the remainder when w is divided by 47.
42
Let x = 70 + 158. Suppose 0*w + c + x = 2*w, w + c - 111 = 0. Calculate the remainder when w is divided by 37.
2
Suppose -h + 608 = 3*h - 3*a, 3*a - 304 = -2*h. Suppose 0 = w - 4*w + 117. What is the remainder when h is divided by w?
35
Let u(c) = 11*c**3 + 2*c**2 - c. Let y = -483 + 490. What is the remainder when u(1) is divided by y?
5
Let i(l) = -12*l**3 + 3*l**2 + 5*l + 3. What is the remainder when 323 is divided by i(-1)?
11
What is the remainder when 969 is divided by (4 - -77) + 2 - 8 - -1?
57
Let s(x) = 696*x + 713. Calculate the remainder when 488 is divided by s(-1).
12
Suppose -10*v + 5*v + 655 = 0. Let n = v - 14. Calculate the remainder when 69 is divided by (94/6 + 1)/(78/n).
19
Let l = 439 - 421. What is the remainder when 589/12 + l/(-216) is divided by 30?
19
Suppose 2*f - 51 = -286*t + 285*t, 5*f + 240 = 5*t. Calculate the remainder when 293 is divided by t.
48
Let r(y) = 4*y**2 - 7*y + 37. Let k be r(-6). Let s = k - 193. Calculate the remainder when 144 is divided by s.
24
Suppose 4*b = 28*j - 32*j + 136, -2*j + 6 = 0. Suppose -b*l - 260 = -36*l. Calculate the remainder when 101 is divided by l.
49
Let f be (-1 - 0) + 53 + 1. Suppose 5*o + f - 183 = 0. Suppose 2*q = -4*n - 3*q + 216, -3*n = -4*q - 131. Calculate the remainder when n is divided by o.
23
Suppose 0 = 13*w - 6*w - 42. Suppose 172 - 1036 = -w*x. Suppose 3*t + 3*t - x = 0. What is the remainder when t is divided by 5?
4
Let k = -182 + 267. Calculate the remainder when k is divided by 57.
28
Suppose -3807*p + 3840*p - 308517 = 0. Calculate the remainder when p is divided by 17.
16
Suppose -148*l + 58200 + 51977 = -29239. Calculate the remainder when l is divided by 25.
17
Let m(w) be the second derivative of -w**4/12 - 5*w**3/6 + w**2 - w + 7. Calculate the remainder when 38 is divided by m(-3).
6
Let u(a) = -a**3 + 43*a**2 + 147*a + 7. Calculate the remainder when u(46) is divided by 29.
15
Let l = 33864 + -33677. Suppose -5 - 22 = -u. What is the remainder when l is divided by u?
25
Suppose -122*f + 1524 = -665 - 251. Suppose v - 53 - 34 = 0. Calculate the remainder when v is divided by f.
7
Let q(j) = 10*j**2 + 66*j + 570. Calculate the remainder when q(-16) is divided by 687.
13
Let k(j) = j**2 - 15*j + 40. Let q be k(12). Let f(z) = z**3 - 3*z**2 + 4*z + 5. What is the remainder when 108 is divided by f(q)?
34
Suppose 3871 = 14*p + 413. Let m = p + -164. Let k(g) = 6*g + 7. Calculate the remainder when m is divided by k(6).
40
Let m(b) = -3*b + 40. Suppose 31*f - 30*f - 101 = 0. Suppose 35 = -6*s + f. What is the remainder when 9 is divided by m(s)?
2
Suppose 0 = 39*w + 11*w - 1504 - 5496. What is the remainder when 3917 is divided by w?
137
Suppose -43*l - 18*l + 1188 = -398. What is the remainder when 13128 is divided by l?
24
Let g(o) = -79*o + 1. Let m be g(-1). Let s = 99 - m. Suppose y + 5*p - 75 = 0, -3*p - 170 = -2*y - 20. Calculate the remainder when y is divided by s.
18
Suppose 2*o + k = 11 + 1, o + 3*k - 6 = 0. Let q be ((-2)/o)/(2/(-48)*2). Suppose -24 = -q*c + 32. What is the remainder when 123 is divided by c?
11
Let k = 4 - -6. Suppose -7*s - 42 = -k*s. What is the remainder when 192 is divided by s?
10
Calculate the remainder when 31954/18 + (-39)/(10179/58) is divided by 2.
1
Let t(x) = 12*x**2 + 179*x + 34. What is the remainder when 167 is divided by t(-15)?
20
Let l(d) = d**2 + 17*d + 14. Let w be l(-16). What is the remainder when (-1 - 21/7)*14/w is divided by 18?
10
Suppose 0 = 4*c - c - 5*t - 176, 5*c - 244 = -4*t. Let a = -3364 + 3466. What is the remainder when a is divided by c?
50
Let f(o) = o**3 - 22*o**2 + 40*o + 35. Let w be f(20). What is the remainder when 7 is divided by 5*(6 + (-168)/w)?
1
Let v = -1286 - -1594. Calculate the remainder when v is divided by 58.
18
Let x(j) = -30*j + 246. Let a(g) = -15*g + 122. Let i(m) = -11*a(m) + 6*x(m). Calculate the remainder when 222 is divided by i(5).
45
Let a be 273/2 + (-2)/4. Let k = -16672 - -16790. Let b = a - k. What is the remainder when 52 is divided by b?
16
Let y = 9094 - 7585. Calculate the remainder when y is divided by 34.
13
Let k(t) = t. Let l(y) = -7*y + 7. Let a(j) = 18*k(j) + 2*l(j). Let s be a(-6). Calculate the remainder when 3 + (s - -3) + 48 is divided by 17.
10
Let w(f) = -4*f + 111. Let a be w(24). Let s(i) = -i + 41. What is the remainder when 36 is divided by s(a)?
10
Suppose 60*d - 27634 = -55*d + 9856. Calculate the remainder when d is divided by (56 - -1) + (-7 - -5).
51
What is the remainder when (-14 + 157)/(-11) + 67 is divided by 21?
12
Suppose 749 = 4*r - 3*d, -d - 2 - 1 = 0. What is the remainder when r is divided by (-45)/(-6) - 7 - (-99)/6?
15
Let i be ((-4)/(-5) - (-2 - 1))*5. Suppose 159 = 4*f + i. What is the remainder when 102 is divided by f?
32
Let j(s) = -2*s - 6. Let c(r) be the third derivative of r**4/8 - r**3/2 - 10*r**2. Let m be c(-4). What is the remainder when 117 is divided by j(m)?
21
Let i be 12/(-30)*34*35. Let l = -415 - i. Calculate the remainder when 301 is divided by l.
57
What is the remainder when (1 - -1)/(-1)*(-942242)/2996 is divided by 150?
29
Let v(w) = -70*w - 80. Let r = -10 + 6. What is the remainder when v(r) is divided by 70?
60
Suppose 5*f + 321 - 536 = 0. Suppose f = 6*d - 137. What is the remainder when 77 is divided by d?
17
Let b = 4229 + -4113. What is the remainder when 504 is divided by b?
40
Suppose -14*t + 15585 = -34115. Calculate the remainder when t is divided by 148.
146
Let f = -109197 + 109234. What is the remainder when (-15)/2*(-26)/3 is divided by f?
28
Let u = 360 - 353. Let t(i) = -11*i + 5. Let y(a) = 11*a - 4. Let b(m) = -3*t(m) - 4*y(m). What is the remainder when b(-3) is divided by u?
6
What is the remainder when 3 + (-19 + 5)*-100 is divided by 11?
6
Let v = 51190 - 51186. Suppose 4*m + m - 310 = 0. What is the remainder when m is divided by v?
2
Suppose -3*d - 1569 = -1647. Suppose o - 30 = -4*a + 3*o, 0 = a + o - 3. Calculate the remainder when d is divided by a.
2
Let c be 3/12*2 + (-17251)/(-26). Suppose -23 = -c*z + 663*z. What is the remainder when (0 - (-123)/(-12))*-4 is divided by z?
18
Let j = 539 - 522. Suppose -149 = -j*y + 38. Calculate the remainder when y is divided by (-1)/4 - 13/(-4).
2
Suppose 110*k + 21*k + 14471 = 67919. What is the remainder when k is divided by 68?
0
Let c(i) = 3631*i**3 - 4*i**2 + 5*i - 2. Let z be c(1). Suppose -5*q = 5*u - z, 2*u + 3*q - 864 = 589. Calculate the remainder when u is divided by 11.
10
Let h be 2 + ((-1690)/40 - (-3)/12). What is the remainder when (-42)/12*h - 0 is divided by 32?
12
Let w be 0 - -3 - (7 - 11). Suppose -2*r + w + 3 = 0. Suppose 5*p + r*b = 205, 0 = -2*p - 5*b + 23 + 71. What is the remainder when p is divided by 19?
18
Let y = 30079 + -28880. What is the remainder when y is divided by 50?
49
Let k = 84 + -285. Let g = 228 + k. Calculate the remainder when g is divided by 16.
11
Let c = 3658 + 16404. Calculate the remainder when c is divided by 114.
112
Let n = 243 - 227. Let c(g) = g + 95. What is the remainder when c(n) is divided by 38?
35
Let t = 7184 - 6850. What is the remainder when 689 is divided by t?
21
Let a(y) = -y**3 - 5*y**2 + 4*y + 7. Let r(k) = k + 9. Let f be r(-2). Suppose -6 = -6*c + f*c.