 What is the remainder when r is divided by 73?
65
Suppose 3*z + 71 = v + 52, 33 = 2*v - z. Let s = 223 + -116. Calculate the remainder when s is divided by v.
11
Let t(b) = -9*b**3 - b**2 + 2*b + 2. Let p(d) = 2*d**3 - 8*d**2 + 8*d - 7. Let i be p(3). Calculate the remainder when 23 is divided by t(i).
7
Let k = 61 - 58. What is the remainder when 137 is divided by k?
2
Let y = 38753 - 38722. Suppose -4*z = -o + 381, -2*z = -5*o + 3*o + 792. Calculate the remainder when o is divided by y.
29
Let s(n) = -36*n - 3. Suppose -3*q = 5*i + 1 - 15, -6 = -5*q - 4*i. Suppose 245 = 24*t - 355. What is the remainder when s(q) is divided by t?
19
Suppose 0 = 111*m + 94100 - 237290. What is the remainder when m is divided by 16?
10
Let y be (-16)/6*(-5307)/58. Suppose -2*v = -4*r - y, -v + 86 = -4*r - 46. What is the remainder when v is divided by 40?
32
Suppose 0 = -3*k + 217 - 19. What is the remainder when k is divided by 2/(-7) - 64/(-168)*27?
6
Let a = 6862 - 5122. Calculate the remainder when a is divided by 579.
3
Let c = 86 + -82. Let o(n) be the third derivative of n**5/60 - 5*n**4/24 + 2*n**3 + 4*n**2. Calculate the remainder when 47 is divided by o(c).
7
Let g = 27285 - 27034. What is the remainder when 707 is divided by g?
205
Let r = 3299 + -3214. Calculate the remainder when 2804 is divided by r.
84
Let n(p) = p**3 + 3*p**2 - 5*p + 1. Let c be n(-4). Calculate the remainder when (2/c)/((84/1230)/7) is divided by 16.
9
Let l(n) = n**2 - 4*n - 4. Suppose 222 + 118 = 5*x + 5*x. Calculate the remainder when x is divided by l(6).
2
Suppose 0 = 24*w - 31*w - 142*w + 5215. Suppose -6*t - 930 = -9*t. Calculate the remainder when t is divided by w.
30
Let j be (2 - -192) + 0 - -5. Let a be (-32)/48 + j/(-3). Let d = 37 - a. Calculate the remainder when d is divided by 29.
17
Let w = -1080 + 1225. What is the remainder when 276 is divided by w?
131
Let f(u) = -u**3 + 16*u**2 + 4*u - 19. Let n be f(8). Suppose p + n = 16*p. What is the remainder when p is divided by 12?
11
Let n(g) = -1135*g**2 - 8*g + 4. Let p be n(1). Let z = p + 1164. Suppose 0 = -4*h - 1 + 21. What is the remainder when z is divided by h?
0
Let n be -1 + 4 - (-26 - 4/4). Let o be 19 - (100/n + 1/(-3)). Suppose -x + o = -24. What is the remainder when x is divided by 14?
12
Suppose 1820*y - 1821*y + 2672 = 0. Calculate the remainder when y is divided by 1332.
8
Let x = 43 - 40. Let d be (-32)/x*((-486)/4)/9. Suppose 23*n = 25*n - d. What is the remainder when n is divided by 15?
12
Let f(l) = 192*l + 2328. What is the remainder when 22270 is divided by f(-12)?
22
Calculate the remainder when 425 is divided by ((-22)/55)/((-5)/2150).
81
Let d(k) = 625*k - 611. Calculate the remainder when 3177 is divided by d(1).
13
Let q = -946 - -999. Calculate the remainder when 144 is divided by q.
38
Suppose -145 = 8*a - 9*a. Let f = 196 - a. What is the remainder when f is divided by 19?
13
Suppose -2177*a = -2173*a - 452. What is the remainder when 199 is divided by a?
86
Suppose -79*k + 441117 + 228783 = 251*k. What is the remainder when k is divided by 203?
0
Suppose -2*f = -9 - 87. Let l = -18 + 27. What is the remainder when (-3)/(2 - 11)*f is divided by l?
7
Suppose 2*x = -d + 61, -3*x + 2*x = 4*d - 41. Let u(v) = -70*v - 712. Let g be u(-20). Suppose g = 12*i + 460. Calculate the remainder when x is divided by i.
10
Let t(y) be the first derivative of y**4/4 - 14*y**3/3 + 10*y**2 - 28*y + 13. Calculate the remainder when t(13) is divided by 17.
12
Let v(o) = -149*o - 565. Calculate the remainder when 846 is divided by v(-5).
126
Suppose -35*m - 192 = -892. Suppose -11*w - m = -13*w. What is the remainder when 75 is divided by w?
5
Let f = -5 + 174. Let i(k) = -4*k**3 - 56*k**2 - 3*k - 42. Let a be i(-14). Calculate the remainder when (a/1 - 0) + f is divided by 34.
33
Let u(r) = -r**3 + 36*r**2 + r - 28. Suppose -84 - 70 = -4*o - 2*b, -b = -3*o + 108. Calculate the remainder when o is divided by u(36).
5
What is the remainder when (846/(-705))/(2/1030*-3) is divided by 35?
31
Suppose 254 = 5*y - 6*s + 22, 5*s + 35 = 0. Calculate the remainder when 2923 is divided by y.
35
Suppose -2*o + 3*d = -29, 3*o - 160*d - 38 = -161*d. What is the remainder when 541 is divided by o?
8
Suppose 2*i + h - 530 = 0, -3*i + 461*h = 457*h - 806. Calculate the remainder when 409 is divided by i.
143
Let g = 631 + -634. Let o(w) = 8*w + 35. What is the remainder when 80 is divided by o(g)?
3
What is the remainder when 689 is divided by (15980/255)/((40/(-18))/(-5))?
125
Suppose -l + 3*l = 90. Suppose -x = 4*d - 3*d - l, -5*x - 15 = 0. What is the remainder when d is divided by 20?
8
Let n(r) = 3*r + 1. Let x be n(3). Let w(l) = l**3 - 10*l**2 + 9*l + 9. Let f be w(x). What is the remainder when 2/10 + -13*f/(-15) is divided by 29?
28
Let x = -26 - -65. Let t(p) = 36*p + 147. Let y be t(-11). Let m = 263 + y. Calculate the remainder when x is divided by m.
11
Let q = -66 + -13. Let g = -71 - q. Suppose 3*w + g + 4 = 0, -2*j - 4*w = -8. What is the remainder when 27 is divided by j?
3
Suppose 66 = -c + 3*c. Let g = 97 + -64. Let f = g + 61. Calculate the remainder when f is divided by c.
28
Let j = 5 + 17. Suppose j = 2*t + 14. Suppose -42 = -k - 3*b - 6, 5*b + 161 = t*k. Calculate the remainder when 154 is divided by k.
37
Let m = -17801 - -17822. Calculate the remainder when 138 is divided by m.
12
Calculate the remainder when (9504/(-189) - -22)*(-7)/1 is divided by 32.
6
Suppose -9*m + 141 + 165 = 0. Let d = -267 - -330. What is the remainder when d is divided by m?
29
Let i be (-21)/(4/(0 + -4)). Suppose -21 = -2*q + i. Calculate the remainder when -3 + (-2)/2 + 87 is divided by q.
20
Let l be ((-47)/4)/((-1)/4). Let u = -4 + l. Let h = -68370 + 68382. What is the remainder when u is divided by h?
7
Suppose -3*p = -3*s, 4*s = -s + 4*p + 2. Suppose 7*v - s*v + 4*t - 90 = 0, 3*t = -5*v + 90. Let y = 59 - -10. Calculate the remainder when y is divided by v.
15
Let i be 1/(-5) - 24738/(-15). Suppose 6*r - i - 229 = 0. Calculate the remainder when r is divided by 105.
103
Let r(o) = -o**3 - 3*o**2 - 4*o + 8. Suppose -21*a + 21 = 126. Calculate the remainder when r(a) is divided by 20.
18
Suppose 4*z = 159 - 159. Suppose -2*r - 3*y + 166 = z, 4*r - 5*y - 29 - 325 = 0. What is the remainder when r is divided by 18?
14
Suppose 3*u - 32 = 13*f - 14*f, 5*u = -5*f + 110. Suppose -18*h + 29 = -f*h. Calculate the remainder when 42 is divided by h.
13
Let i(z) = 7*z + 7. Let d(q) = -5*q - 9. Let a(v) = 4*d(v) + 3*i(v). Calculate the remainder when 70 is divided by a(21).
4
Calculate the remainder when 794 is divided by (-3)/4 + 10/(560/11242).
194
Let d(h) = h**2 - 7*h - 3. Let w be d(8). Suppose -g + w*y - 6 = -72, 5*g - 301 = -4*y. Calculate the remainder when g is divided by (10 - 15) + 13 + 6 + 2.
13
Let j = -120 + 109. What is the remainder when 152 is divided by 43 + (-1 - j)*(-6)/15?
35
Let o = -9717 + 11442. What is the remainder when o is divided by 30?
15
Let d(a) = -26*a - 4. Suppose -61*o = -4*w - 66*o + 143, -o - 47 = -2*w. Calculate the remainder when d(-4) is divided by w.
19
Let q(i) = -3*i + 288. Let p(l) = -3*l + 143. Let x(n) = 7*p(n) - 4*q(n). Calculate the remainder when 215 is divided by x(-29).
105
Let a(i) be the third derivative of -i**5/30 - 2*i**4/3 - 13*i**3/6 + 7*i**2. Let y = 102 - 108. What is the remainder when 17 is divided by a(y)?
6
Let y be (-6)/10 - -1*(-15448)/20. Let l = -686 - y. Calculate the remainder when l is divided by 6.
3
Suppose 0 = -102*v + 103*v - 40. Let z = 79 - 38. Suppose -55 = -5*d + 3*h, 3*d - 26 = -5*h + z. What is the remainder when v is divided by d?
12
What is the remainder when 783 is divided by (-1515)/(-95) - (-1)/19?
15
Suppose -9*d = -6*d + 5*q - 2404, -4*d - q = -3228. What is the remainder when d is divided by 18?
16
Let h = -2 + 17. Suppose -8*a = -6*a - 6. Suppose -56 = -m + z, 0*m = m + a*z - 68. What is the remainder when m is divided by h?
14
Suppose -f = t - 17, -t = -87*f + 92*f - 93. What is the remainder when 165 is divided by f?
13
Let f = 245 - 240. Suppose -5*a = f, z = 2*z + 5*a. What is the remainder when 28 is divided by z?
3
Let x(d) = d**3 + 29*d**2 - 685*d - 329. Suppose -70 = -5*p + 5*f, -2*p - 2*p + 46 = -2*f. Calculate the rema