2. Suppose -144 = v - m. Calculate the remainder when 7 is divided by v.
1
Suppose 6*i - 1352 = 2957 + 203. What is the remainder when i is divided by 13?
11
Suppose 2*f - 18 = 4. Let i = f + -6. Suppose 3*p - 281 = 4*m, 376 = -0*p + 4*p - i*m. Calculate the remainder when p is divided by 34.
31
Let b = 363 - 342. Suppose 325 = 4*q + b*q. Let y(n) = n**3 - 4*n**2 - n - 4. Calculate the remainder when y(6) is divided by q.
10
Suppose -29*n + 5*l = -32*n + 642, n = 4*l + 163. What is the remainder when n is divided by ((-4)/(-10))/(1/125)?
49
Suppose 0*d + 5 = d. Suppose 15 = d*f, -c - 2*c - 4*f = 3. What is the remainder when 66 is divided by (-2 - c)*17/3?
15
Suppose 0 = -462*v + 376*v + 14276. Suppose -10*i + 126 = -4*i. What is the remainder when v is divided by i?
19
Let r(v) = 32*v**2 - 4*v + 6. Let x(o) = -o + 4. Let k be x(1). Suppose -4*d - 9 = 3*b - 3, k*d + 17 = 4*b. Calculate the remainder when r(b) is divided by 26.
22
Let u = 6 + -2. Suppose -2*p + 4*c + 58 = 0, -5*p = -c - u*c - 150. What is the remainder when p is divided by (6 - 1015/165 - (-8)/(-44))*-24?
7
Let x(b) = b**2 + 11*b + 8. Let r be x(-16). Suppose 0*o = 11*o - r. Calculate the remainder when (15 - -2) + 4/(-2) is divided by o.
7
Let u = 365 - 362. What is the remainder when 125 is divided by (-1710)/(-60) + u/(-2)?
17
Let x = 295 + -235. Suppose -4*t + 120 = 5*j, -2*t - 2*j = -6*j - x. What is the remainder when 119 is divided by t?
29
Let l(p) = 7*p + 441. What is the remainder when 560 is divided by l(-57)?
14
Let l = -7926 - -8123. Calculate the remainder when l is divided by 77.
43
Suppose 0 = v + 2*v - 6. Let y(r) = -r**2 - 14*r - 4. Let i be y(-14). What is the remainder when ((-2)/3)/(i/(1 + 47)) is divided by v?
0
Let v = -6554 - -7090. What is the remainder when v is divided by 265?
6
Suppose 182*x - 289 = 165*x. Suppose 30 = n - v, 4*v = n - 6*n + 177. Calculate the remainder when n is divided by x.
16
Suppose 95*j + 94*j = 190*j - 4. Calculate the remainder when 424 is divided by j.
0
Let g = 12 - -139. What is the remainder when g is divided by ((-44)/3)/(-17 + 282/18)?
8
Let y be 5 + 20/5 + -8. Suppose 7*h - y = 13. Suppose 5*s - 2*s - 39 = -3*r, r - 7 = 2*s. What is the remainder when r is divided by h?
1
Suppose 38 = i - 3*x, -5*i - 5*x - 190 = -10*i. Calculate the remainder when 1060 is divided by i.
34
Suppose -6*m + 3*m = -54. Suppose 0 = 3*d + d - 16. Suppose -4*b + 208 = d*h, -b = 4*b - 2*h - 267. Calculate the remainder when b is divided by m.
17
Let c be (-4)/(-6) - (-272)/6. Suppose c = -4*g + 554. Let n(k) = -k**3 + 11*k**2 - 16*k + 25. Calculate the remainder when g is divided by n(9).
41
Let f be (1/(-3))/((-6)/72). Let g(j) = 2*j**2 - 17 + 14 - 4 - 3*j. What is the remainder when 24 is divided by g(f)?
11
Suppose -128 = -29*a + 25*a. Let b = a - 34. Calculate the remainder when 38 is divided by 30/(((-18)/4)/(-1 + b)).
18
Let b(z) = -23*z**2 + 16*z - 23. Let v(i) = -11*i**2 + 8*i - 12. Let m(w) = -3*b(w) + 5*v(w). What is the remainder when m(3) is divided by 39?
33
Let g(p) = p**3 + 21*p**2 - 6*p - 80. What is the remainder when g(-15) is divided by 98?
86
Calculate the remainder when 657/21 - 12/42 is divided by (-4)/6*2142/(-84).
14
Let t(i) = 2*i**2 - 40*i - 580. Calculate the remainder when t(-13) is divided by 45.
8
Suppose 0 = 4*c - 70 + 62, -4*c = -5*s + 197. Calculate the remainder when 225 is divided by s.
20
Suppose -2160 = -8*d + 18*d. Let o = d - -241. Calculate the remainder when 93 is divided by o.
18
Let k(z) = -2*z**2 - 66*z - 499. What is the remainder when 362/4 + (-1)/(-2) is divided by k(-16)?
1
Let p(k) = -k**3 - k**2 + 18*k + 590. Calculate the remainder when p(0) is divided by 68.
46
Suppose -45441 = -37*g - 5666. What is the remainder when g is divided by 90?
85
Let m(u) = 2*u**2 + 21*u + 347. Calculate the remainder when 928 is divided by m(-23).
6
Let z = -213 - -311. Suppose x + z = 8*x. Suppose 3*l - h = 113, 0 = 5*l - 0*h - 3*h - 183. What is the remainder when l is divided by x?
11
Let o(s) be the second derivative of -5*s**3/3 + 3*s**2/2 + 16*s. Let x be o(-1). Let l = -7 + x. What is the remainder when 20 is divided by l?
2
Let i be 9/(-2)*5/(105/(-14)). Suppose 5*z = i*y - 67, 2*y - 27 - 18 = 3*z. Calculate the remainder when 311 is divided by y.
23
Let m(p) = p**3 - 7*p**2 - 10*p + 18. Let l be m(8). Suppose -5*b = -20, -3*a = l*a - 5*b - 110. What is the remainder when 44 is divided by a?
18
Suppose -117*q + 74977 = 5713. Calculate the remainder when q is divided by 50.
42
Suppose 23940 = -56*m + 101*m. Calculate the remainder when m is divided by 172.
16
Suppose 21*o = -19*o + 40409 + 20991. What is the remainder when 4617 is divided by o?
12
Let c(o) = -7*o**3 - 7*o**2 + 8*o - 5. Calculate the remainder when c(-5) is divided by 166.
157
Suppose -34 + 10 = -6*u. Suppose -u*c + 9*c - 780 = 0. What is the remainder when c is divided by 16?
12
Let q = 55 - -148. Suppose -9*y = -112 - q. Calculate the remainder when 137 is divided by y.
32
Let x(n) = -3 - n**3 + 5*n**2 + 3*n**2 + 10 + 8. Suppose -223 = -27*r - 7. What is the remainder when x(r) is divided by 9?
6
Suppose -j + 220 = 3*o, -279 = -j - 2*o - 54. Calculate the remainder when j is divided by 27.
19
Suppose -3*f + 3*q + 201 - 18 = 0, 0 = 2*f + q - 113. Let s(i) = -2*i**2 - 51*i + 43. Calculate the remainder when s(-24) is divided by f.
57
Let k(q) = q**2 - 13*q - 26. Let p be k(15). Let c be 0/((-20)/p) - -33. Suppose 36*i - c*i - 216 = 0. What is the remainder when i is divided by 37?
35
What is the remainder when 41574/66 - (-1 - 1)/((-176)/(-8)) is divided by 622?
8
Let n be ((-3748)/(-8) + 1)/((-15)/(-10)). Let x = n - 123. Calculate the remainder when x is divided by 24.
22
Let a(g) = g**2 + 10*g + 45. Let p be 7 + -11*(6 - 5). Calculate the remainder when 241 is divided by a(p).
10
Let b(t) = 89*t - 1746. Calculate the remainder when b(43) is divided by 44.
13
Let c(v) = -9 - 4 + 3*v**2 - v**2 + 1 - 4*v. Suppose 2*k + 10 = 3*k. Calculate the remainder when c(5) is divided by k.
8
Let g(q) = -7*q - 9. Let j be (5 - (3 + 1))*0. Suppose 3*p + 35 = w + 2*p, 2*p + 2 = j. What is the remainder when w is divided by g(-3)?
10
Suppose 2 = -7*d + 37. Suppose 0*s - s + 2*q = -283, d*s + 4*q = 1387. What is the remainder when s is divided by 35?
34
Let m(f) = 3*f**2 + 12*f + 1. Let o = -392 - -387. Let t(r) = -r**2 - 8*r - 8. Calculate the remainder when m(o) is divided by t(-6).
0
Suppose 5*x - 520 = -0*x. Suppose -5*j + 615 = -145. Let z = j + -131. What is the remainder when x is divided by z?
20
Suppose 107*d = 104*d, u + d - 37 = 0. What is the remainder when 998 is divided by u?
36
Let l = -10551 - -10567. Calculate the remainder when (-15)/2*(-42)/5 is divided by l.
15
Let g = 5278 + -5148. Calculate the remainder when 1037 is divided by g.
127
Let x be (-1)/(6/108*6) + 11. Calculate the remainder when (x/3)/8*1341 + -2 is divided by 56.
53
Let y = -62 + 62. Suppose y = f + 2*f - 444. What is the remainder when f is divided by 30?
28
Let g = 8980 + -7805. Calculate the remainder when g is divided by 49.
48
Suppose -2*r = -3*i - 28, 4*r - 28 = 2*r - i. Suppose -14*w - 1375 = -19*w. Suppose 34*o = 29*o + w. What is the remainder when o is divided by r?
13
Let l = 285 - 280. Suppose 2*n - c = 28 - 9, l*n - 46 = 4*c. What is the remainder when 29 is divided by n?
9
Let f(z) = 10*z**3 - 56*z**2 + 5*z - 50. What is the remainder when f(7) is divided by 221?
8
Suppose -4458 = -449*c + 221*c + 222*c. Calculate the remainder when c is divided by 31.
30
Suppose z - 10 = 24. Suppose -3*o = -z + 7. Let p(x) = x**3 - 3*x**2 - 4*x + 3. Calculate the remainder when o is divided by p(4).
0
Let x(w) = 10*w**2 + 174*w - 347. What is the remainder when 320 is divided by x(2)?
33
Suppose -13*i + 251 = -113. What is the remainder when 54 is divided by i?
26
Let a = 948228 - 948187. Calculate the remainder when a is divided by -9*(2/(-6))/1.
2
Let u(v) = 21*v - 3. Suppose 2*q - 86 = -w, -68*w + 72*w - 218 = -5*q. Calculate the remainder when u(4) is divided by q.
39
Suppose z - 612 = -56*z + 21*z. What is the remainder when ((-2)/(-4))/((-2)/(-260)) is divided by z?
14
Suppose -62*w - 294 = -604. What is the remainder when 110 is divided by w?
0
Suppose 199 = 13*