s divided by 9.
0
Let r = -27 + 29. Suppose -f + 16 = -b - 2*b, -r*f + 2*b = -32. Calculate the remainder when 67 is divided by (-2 - 0) + 4 + f.
13
What is the remainder when 174 is divided by (-79023)/(-1917) - (-4)/(-18)?
10
Suppose 0 = -0*w - 4*w + 16. Let g(i) be the second derivative of i**3/6 + i**2/2 + 3*i + 199. Calculate the remainder when 22 is divided by g(w).
2
Calculate the remainder when 566 is divided by (-4 - -1)*2 + (58 - (-5 - 6)).
62
Let i = 17 + -9. Suppose -r - i = -3*v + v, 0 = 3*r + 4*v + 4. Calculate the remainder when r/((-624)/(-318) - (0 - -2)) is divided by 22.
18
Suppose 5*g + 764 = 3*p, 6*g = -4*p + 9*g + 1015. Let h = p - 236. Calculate the remainder when (-228)/(-5) + (-8)/(-20) is divided by h.
12
Let u = 4867 + -4020. What is the remainder when u is divided by 25?
22
Suppose -4*r - 736 + 4614 = 2*i, -5*i = -2*r + 1921. Calculate the remainder when r is divided by 13.
6
Suppose -j + 4 = 0, 2*s = -5*j - 565 + 1043. What is the remainder when s is divided by 49?
33
Suppose -m + 208 = -5*a, 2*m + 4*a - 484 = -12. Suppose 520 = 238*s - m*s. What is the remainder when 358 is divided by s?
46
Suppose 11*c + 348 = 5*c. Let w = c - -73. What is the remainder when ((-30)/20)/((-3)/116) is divided by w?
13
Let n(w) be the second derivative of w**4/12 + w**3/3 - 2*w**2 + 2*w. What is the remainder when 1/(((-36030)/2775 - -13)/((-12)/(-10))) is divided by n(-6)?
14
Suppose -4 - 47 = -3*o. Suppose 4*c = 0, 5*u + 0*u = -4*c + 85. Suppose -5*r + u*r - 996 = 0. What is the remainder when r is divided by o?
15
Let w be (-3 - (-30)/9)*-12. Calculate the remainder when w*267/(-60)*5 is divided by 13.
11
Suppose 5*c = -u + 5*u + 36, -2*c = u - 4. Suppose 0 = -2*f - 5*o + 290 + 373, -c*o = 4*f - 1332. Calculate the remainder when f is divided by 6.
4
Let f be -1*(15 - 14)*(-108)/(-1). Let m(y) = 2*y**2 + 7*y + 5. Let c be m(6). Let k = f + c. What is the remainder when 164 is divided by k?
10
Let o(w) = 283*w - 2*w**2 - 270*w + 3*w**2 + 30. Calculate the remainder when 15 is divided by o(-11).
7
Suppose 8397 - 15832 - 19691 = -198*u. What is the remainder when 1777 is divided by u?
133
Let c = 115 - -53. Suppose 2*k = 2*y - 236, 4*y - 3*k - 598 = -y. What is the remainder when y is divided by c/(-30)*(-10)/4?
10
Suppose -k + 6475 = 3*x, 0 = x + 9*k - 4*k - 2191. What is the remainder when x is divided by 166?
164
Suppose 2*g = 7*g - 2*b - 87, -3*g + 56 = -5*b. Suppose 8 = -g*d + 21*d. Suppose -2*k + 80 = -d. Calculate the remainder when 122 is divided by k.
40
Let y(x) = -x**3 - x**2 + 2*x - 3. Let r be y(0). Let g = 33 - 18. Let d = g - r. What is the remainder when 51 is divided by d?
15
Let n(c) = 2*c**2 + 8*c - 3. Suppose -7*d = -15*d + 736. Suppose -d = 15*z - 1022. What is the remainder when z is divided by n(-6)?
20
Let b(j) = -7*j - 19. Let z be b(-5). Let u be z - (0 + 3*(-4)/(-3)). Suppose 8*v - u*v + 40 = 0. What is the remainder when 15 is divided by v?
5
Let z(r) = 28*r + 1002. What is the remainder when 850 is divided by z(-33)?
70
Let d = 10713 + -10382. Calculate the remainder when 995 is divided by d.
2
Let b(c) = c**3 - 8*c**2 - 7*c - 2. Let q be (0 - -1*(-8)/(-20))*10. Suppose q*r - 137 = -21. What is the remainder when r is divided by b(9)?
13
Suppose 9298*b + 15470 = 9324*b. Calculate the remainder when b is divided by 68.
51
Let y(f) = -6*f - 82. Let l be y(-14). Suppose 3*j - 3*b - l*b = 41, -2*b = 4*j - 98. What is the remainder when (10/5)/2*65 is divided by j?
21
Let j = -81 - 8. Let a = j - -98. Calculate the remainder when 86 is divided by a.
5
Let p = -8134 - -8145. What is the remainder when (4 + 378/(-3))/(-2) is divided by p?
6
Suppose -194 = -y - y. Suppose 2*g = -4*g + 564. Suppose -g = -5*l - 3*a, 2*l - 68 = -l + 4*a. What is the remainder when y is divided by l?
17
Let h(b) = 25*b**2 - 45*b - 123. What is the remainder when h(-3) is divided by 1*-3*(-1 + -9)?
27
Let n(z) = 5*z - 88. Let b be n(18). Suppose 7*v = 6*v - 4, b*v = 2*q - 86. What is the remainder when q is divided by 2/(-19) + (-2496)/(-247)?
9
Let x(g) = g**2 + 8*g + 20. Suppose -4*c + 29 = -5*c - 5*r, -r + 14 = -2*c. Let n = c + 2. Calculate the remainder when 34 is divided by x(n).
8
Let y = -61 + 558. Calculate the remainder when y is divided by 17.
4
Let s(f) = 11*f + 4. Let w be s(6). Suppose w = 33*z - 26*z. Calculate the remainder when 108 is divided by z.
8
Let d = -344786 + 345033. Let h(p) = -p**3 + 7*p**2 + 5*p - 3. What is the remainder when d is divided by h(6)?
58
Let c(y) = -2*y**2 - 78*y - 47. Let t(x) = x**2 - 5*x + 13. Calculate the remainder when c(-38) is divided by t(6).
10
Suppose -2340*k + 2031*k = -372036. What is the remainder when 1218 is divided by k?
14
Let q(f) = -323*f - 225. What is the remainder when q(-2) is divided by 203?
15
Suppose -1 = -2*m + 29. Let c = m - 6. Suppose 257*n = -89*n + 15224. Calculate the remainder when n is divided by c.
8
Let y(t) = -t**3 + 17*t**2 - 4*t + 226. What is the remainder when y(11) is divided by 293?
29
Calculate the remainder when ((-35)/21*(-162)/20)/(69/4876) is divided by 21.
9
Let r be 24/8 + (-3 - -5). Suppose 3*n - 105 = -r*h, 55 = 2*n + 4*h - 17. What is the remainder when n is divided by 8?
6
Let h = -32 - -40. Calculate the remainder when 32/(-12)*(-12)/h + 116 is divided by -1 - 1 - 132/(-4).
27
Suppose -8*s + 20 - 4 = 0. Suppose s*w + 648 = 4*n, -4*n + 5*w + 377 = -283. What is the remainder when n is divided by 9?
7
Let t(l) = 45*l + 124. What is the remainder when 7488 is divided by t(2)?
212
Let j(t) = -2*t**2 + 11*t - 31. Let v be j(3). Let w(c) = -c**2 - 13*c + 83. Calculate the remainder when 101 is divided by w(v).
31
Let u = 3125 - 2036. What is the remainder when u is divided by 78?
75
Suppose 0 = 3*z - 4*a - 73 - 128, 2*a + 132 = 2*z. Let l = z + -17. Suppose 5*d = l + 59. Calculate the remainder when d is divided by 4.
1
Let u be -11 + 2420/50 - (-6)/10. Suppose r + d - 27 = 0, 4*d + 22 + u = 2*r. What is the remainder when 139 is divided by r?
27
Suppose -209*z - 8456 = 95*z - 18488. What is the remainder when 50*(24/10 - 0) is divided by z?
21
Suppose 0 = -6*r + 19 - 7. Let u be (-576)/56 + (-2)/(-7). Calculate the remainder when (-46)/u - (-9)/(-15) is divided by r.
0
Let h(i) = 24*i + 84. Let b be h(-12). Calculate the remainder when 137 is divided by (-51)/b - (837/(-4))/3.
67
Suppose -148 - 515 = -32*p + 361. What is the remainder when p is divided by 340/16 + 1/(-4)?
11
Suppose 2975 = -32*m + 39*m. Let s = 100 + m. Calculate the remainder when s is divided by 33.
30
Suppose 4*h - 55 = -h. Let o be (-3)/(-3) - (-24 + 31). Calculate the remainder when 287*((-369)/63 - o) is divided by h.
8
Let j(y) = 45*y**3 - y**2 - 3*y + 12. What is the remainder when j(3) is divided by 11?
10
Let b(y) = -y**3 + 15*y**2 + 28*y + 124. Suppose 0 = 18*a - 417 + 111. What is the remainder when b(a) is divided by 15?
7
Let g(q) = -3 + 28*q - 40*q + 4. Let n(b) = -106*b**3 + 3*b**2 - b - 2. What is the remainder when n(-1) is divided by g(-3)?
34
Calculate the remainder when 477 is divided by -18*(13 - (-406)/(-28)).
18
Let h = -34830 - -34840. Let t(j) = j**2 + 5*j + 1. Let r be (-28)/3 + 1/3. What is the remainder when t(r) is divided by h?
7
Suppose 6*y = 16*y - 90. Suppose -21 = -2*v + y. What is the remainder when 58 is divided by v?
13
Let d(o) = 87*o**3 + 4*o**2 - 2*o - 2. Calculate the remainder when d(1) is divided by 31 + (-2)/1 + 1.
27
Suppose -4*o - 751 = -3*y + 368, -5*y - 5*o = -1795. What is the remainder when y is divided by 50?
15
What is the remainder when (-2)/(-26) + (-6463996)/(-1612) is divided by 125?
10
Suppose -2555 = -180*u + 2125. Suppose -43 = 4*n - 7. Let h = 15 + n. Calculate the remainder when u is divided by h.
2
Suppose 4*c = z + 4*z - 27, z - 2*c = 9. Suppose 1054 = z*p - 95. Calculate the remainder when p is divided by 55.
53
Let o = 13 + -8. Let z(k) = -7*k + 87. Let c(r) = 20*r - 245. Let d(n) = 6*c(n) + 17*z(n). Calculate the remainder when d(o) is divided by 8.
6
Let h = -16604 - -16706. Calculate the remainder when 157 is divided by h.
55
Suppose 20 = -376*w + 371*w, 0 = 2*a + 5*w - 1476. Calculate the remainder when a is divided by 273.
202
Suppose -2*p = 2*y - 1926, 7*p - 3*y + 967 = 8*p. What is the remainder w