 -5*k + z, -2*k = 2*k - 4*p - 420. What is the remainder when k is divided by 22?
20
Let v(u) = -4*u + 12. Let g be v(2). Suppose 2*k = -3*m + 38, -g + 24 = -4*k. Calculate the remainder when 34 is divided by m.
2
Let x be (90/(-50))/(-3 + 654/220). Suppose -x*w = -75*w + 630. Calculate the remainder when w is divided by 9.
7
Let d(c) = -39*c + 26. Suppose 0 = -4*s + 3*a, 0*s = -2*s + 4*a. Calculate the remainder when 47 is divided by d(s).
21
Let f = -254 - -259. Suppose -f*b - 7*g = -10*g - 43, 4*b - 3*g = 32. Calculate the remainder when 96 is divided by b.
8
Let v be 3/5 + -1 + 524/10. Let c = v - 63. Let b = 45 + c. Calculate the remainder when 135 is divided by b.
33
Suppose -17*c = -4*p - 15*c + 2, -4*c - 4 = 3*p. Suppose 5*w + p*t - 85 = -4*t, -3*w - 5*t = -64. Calculate the remainder when w is divided by 8.
5
What is the remainder when 804 is divided by -6*(-2)/27 - 23460/(-918)?
24
Suppose -65*o + 128064 = 33*o - 6*o. What is the remainder when o is divided by 70?
62
Let s(r) = -r**2 + 21*r + 33. Let k be s(17). Let c = k - 76. Suppose 0 = l - c + 19. What is the remainder when 26 is divided by l?
2
Let a be (-3)/(-6) - 21/(-6). Let f = 69 - a. Let u = 14 - -8. What is the remainder when f is divided by u?
21
Let j(x) = -1692*x - 335. What is the remainder when j(-8) is divided by 163?
161
Suppose 1013 = 2*q + 3*t, 3*q - 2033 = -q + t. Suppose 4*j - q = 3*c - 70, 430 = 4*j + c. Calculate the remainder when 322 is divided by j.
106
Let c be 4 + (-3)/12 + (-3)/4. Let o(v) = 471*v - 487*v + 7 + 0 + v**c - 15*v**2. Calculate the remainder when 33 is divided by o(16).
5
Let j(q) = 2*q**3 + 174*q**2 + 10*q + 874. Let y = 53 - 10. What is the remainder when y is divided by j(-87)?
3
Suppose 0 = -24*h + 972 + 54156. Suppose h = -28*a + 10669. Calculate the remainder when a is divided by 16.
11
Let o(c) = 2*c**2 + 15*c + 22. Let i(u) = 2*u**2 - 25*u + 13. Let h be i(12). What is the remainder when o(-7) is divided by 5 - (2/(3 - h))/1?
3
Suppose q - 3 = 2*f, -1 = q + 155*f - 158*f. Let y(u) = 4*u**2 + 7*u + 7. What is the remainder when y(-8) is divided by q?
9
Let k = 23075 - 22911. What is the remainder when 542 is divided by k?
50
Let d = -399 + 421. Let i be (-1 - 2) + 127 + 0. Let y = 206 - i. Calculate the remainder when y is divided by d.
16
Let i = 5 + -1. Suppose -i*p + 4*k + 343 - 1175 = 0, -4*k = 3*p + 603. Let c = -57 - p. What is the remainder when c is divided by 30?
28
Suppose 191 = -3*u - 5*g, 4*g = 3*u + 3*g + 167. Let b = -47 - u. What is the remainder when 29 is divided by b?
9
Let k(g) = -g**2 - 38*g - 5. What is the remainder when 2143 is divided by k(-36)?
66
Let k be (-4)/6 + 34/6. Suppose -428 = -k*g + 172. Suppose 2*y + g = 4*x, 3*x + 5*y - 2*y = 99. What is the remainder when x is divided by 8?
7
Let c(y) = -25*y + 89. Let l be c(5). Let d = l + 51. Calculate the remainder when -2 + (-14)/(-8) - (-218)/8 is divided by d.
12
Suppose 37*x + 491 + 249 = 0. Let b(d) = -11*d + 82. What is the remainder when b(x) is divided by 19?
17
Let z = 72 + -68. Let l be (z/8 - 0) + (-62)/4. What is the remainder when 99 is divided by 21 + -1 + (3 + l)/4?
14
Let p(d) = d**3 + 66*d**2 - 207*d + 14. Suppose -6*a - 50 + 356 = 0. What is the remainder when a is divided by p(-69)?
9
Let n = -17053 - -18858. What is the remainder when n is divided by 34?
3
What is the remainder when 1*-7*-37*(2 + (-42)/(-14)) is divided by 12?
11
Suppose 153669 = -65*x + 348*x. Calculate the remainder when 2178 is divided by x.
6
Suppose -2*h - 5*u + 6700 = 0, 3347 = h - 6*u + 8*u. Calculate the remainder when h is divided by 47.
45
Suppose -59*x + 606 = -56*x - 3*k, 986 = 5*x + 3*k. What is the remainder when 1223 is divided by x?
29
Suppose 337*k = -5*p + 342*k + 65, -3*p + 2*k = -37. Let b(f) = 4*f**2 + f + 4. Calculate the remainder when b(-3) is divided by p.
4
What is the remainder when 556 is divided by 15 + ((-1131)/(-13) - -1)?
41
Suppose -3*q + 3*x = -1707, -17*q = -18*q - x + 569. Calculate the remainder when q is divided by 25.
19
Let q be ((-22)/(-77))/(1/(-14)). What is the remainder when 293 is divided by (-119)/70*-22 - q/(-10)?
34
Let d(y) = -2*y**2 + 17*y + 9. Let c be d(9). Suppose c = -24*x + 2354 + 550. Calculate the remainder when x is divided by 18.
13
Let b = -370 - -371. Calculate the remainder when 28/8 - 2/(-4) is divided by b.
0
Let b(k) = -k + 9. Let v be b(0). Suppose -3 = a - v. Calculate the remainder when (14*a/(-18))/((-2)/27) is divided by 33.
30
Let k = -87 - -69. Let w = 8 - k. What is the remainder when ((-6)/(-6))/(3 + 1140/(-381)) is divided by w?
23
Suppose 0 = -1324*r + 64972 + 36833 + 13383. Calculate the remainder when r is divided by 22/1 - (2 + -2).
21
Let a = -45 + 48. Suppose -b - a = 0, -3*u + 18 = b - 3*b. Calculate the remainder when u is divided by 3.
1
Let z(k) = 26*k + 276. Let o(d) be the second derivative of d**4/6 + 2*d**3/3 - 3*d**2/2 + 2*d. What is the remainder when o(-6) is divided by z(-10)?
13
Let u = 87 - -59. Suppose 0 = 28*v + 374 - 507 - 567. Calculate the remainder when u is divided by v.
21
Suppose 3*k - 310 = k. Suppose -k + 1048 = 19*f. Suppose 2*b = c + 25, 5*c + 15 = b + 2*c. What is the remainder when f is divided by b?
11
Let k(a) = 3*a**3 + 230*a**2 - 83*a - 106. Calculate the remainder when 717 is divided by k(-77).
5
Suppose m + 3*z + 112 = 3*m, -4*z = -2*m + 114. Let s = m - 44. Suppose 0*f + 43 = f. Calculate the remainder when f is divided by s.
7
Suppose -y - 2*m + 37 = 0, 427*m - 426*m = -y + 36. What is the remainder when 174 is divided by y?
34
Suppose -47*i = -26*i - 21. What is the remainder when (74/9)/i - 184/828 is divided by 5?
3
Suppose 2*q = -q + 957. What is the remainder when q is divided by 19/(-114) - 385/(-6)?
63
Suppose -53*w - 76*w + 19221 = 0. What is the remainder when 890 is divided by w?
145
Suppose 6439 = 26*h - 4403. Suppose 22*j - 35*j = -546. What is the remainder when h is divided by j?
39
Suppose 3*s + 29 = 2*g - 2*s, g = -3*s - 2. Let c = 11 - g. Suppose c = -4*j, j = -u + 5*j + 31. What is the remainder when 107 is divided by u?
26
Suppose l + 0*l = 44. Suppose 3*f - 108 = 5*y + l, 0 = -3*f + y + 160. Let s(j) = -j**3 - 6*j**2 + 25*j - 7. What is the remainder when f is divided by s(-9)?
10
Suppose 2*b + 45 = w, 3*w = -2*b - 22 + 165. Let v(c) = 22*c + 142. What is the remainder when w is divided by v(-6)?
7
Let z(k) = -k**3 + 9*k**2 + 254*k - 31. Calculate the remainder when 6564 is divided by z(21).
8
Let z(g) be the third derivative of g**4/24 + 35*g**3/6 + g**2. Let h be 41 + -55 - 6/2. What is the remainder when 69 is divided by z(h)?
15
Suppose 2*c - 92 = -x, c + 134 + 260 = 5*x. What is the remainder when 376 is divided by x?
56
Let h be 73 + 2 + -2 - -4. Let m = -11 + h. Suppose j + 5*z - 74 = -2*j, -4 = -4*z. Calculate the remainder when m is divided by j.
20
Let o(f) = -144*f - 42. What is the remainder when o(-1) is divided by 37?
28
Let c be (-3)/(-36) + (35882/24)/11. Let m = c + -41. What is the remainder when 277 is divided by m?
87
Let d(s) = -s**3 - 15*s**2 - 14*s + 86. What is the remainder when d(-14) is divided by 19/(-3*(1 - 4/3))?
10
Let o(m) be the second derivative of 5*m**4/6 + m**3/6 - m**2 - 58*m. What is the remainder when o(2) is divided by (-124)/(-10) + 2/(-5)?
4
Let k(u) = -38*u - 8. Suppose 3*j + 2 = x, 5*x + 5*j + 0 = 10. Let q be (66/(-15) - 4/(-10))/x. What is the remainder when k(q) is divided by 35?
33
Suppose 5*b = -3*r + r + 4192, -2*r + 1678 = 2*b. Let q = 1275 - b. Calculate the remainder when q is divided by 26.
21
Suppose 230*l + 1768 = 247*l. What is the remainder when 177 is divided by l?
73
Suppose 0 = 11*t - 111 - 417. Calculate the remainder when 144 is divided by t.
0
Suppose 0*d - d = -27. Suppose -2*j + d = -6*a + 3*a, 5*a = 4*j - 59. Calculate the remainder when (-2*3*-2)/(426/1917) is divided by j.
12
Suppose 2*s + 3 = -v, -9*s + 6*s = 3*v + 24. Let x(n) = n**3 + 14*n**2 + 21*n + 125. Calculate the remainder when (-1028)/(-10) - (-2)/10 is divided by x(v).
19
Let k = 260 - 253. Suppose -k*m = -6*m - 4*p - 63, 4*m - 4*p - 252 = 0. Calculate the remainder when 249 is divided by m.
60
What is the remainder when 43/((-4)/(-18) - 3/(-216)*2) is divided by 42?
4
What is the remainder when ((4 -