 the remainder when 344 is divided by f.
4
Let i = 30 + -18. Suppose 222*t - j = 217*t + 73, -5*t + 5*j + 65 = 0. What is the remainder when t is divided by i?
3
Suppose 3*b - 3*b = 18*b - 1314. What is the remainder when 437 is divided by b?
72
Suppose -5*f + g + 611 = 0, 6*g - 237 = -4*f + 245. Let b(x) = x**3 - 8*x**2 + 7*x - 8. What is the remainder when f is divided by b(8)?
26
Suppose -2*b = -f - 10, 8*f = 7*f + 2. Suppose -b*c - 3060 = -40*c. Calculate the remainder when c is divided by 23.
21
Calculate the remainder when 421 is divided by 4/18 - 425949/(-1107).
36
Let q = 27823 + -27820. Calculate the remainder when 31 is divided by q.
1
Let j = -739 - -793. What is the remainder when 220 is divided by j?
4
Let c be 0 - 8*(35/(-10))/(-7). Let o(p) = -2*p**3 - 6*p**2 + p + 19. What is the remainder when o(c) is divided by (-1 + -9)*(-14)/7?
7
Let k(l) = 4*l**2 - 4*l + 14. What is the remainder when k(4) is divided by 3 + (-2)/8*-40?
10
Let t = 49 + -37. Suppose -22 = -t*y + 122. Suppose 0 = -11*a + y*a - 148. Calculate the remainder when a is divided by 25.
23
Let a(m) = 33*m**2 - 10*m + 10. Let q be a(6). Let f be (4/16)/(-2 + q/568). Let g = f + -60. What is the remainder when 31 is divided by g?
9
Suppose 61*f = -4539 + 5820. Calculate the remainder when 3812 is divided by f.
11
What is the remainder when (-1*97)/(12 - (-13 - (-1717)/68)) is divided by 27?
10
Suppose -j + 3*r - 6 = 0, 2*r - 3*r + 2 = 0. Suppose x + j*x = 82. What is the remainder when x is divided by 46?
36
Calculate the remainder when (-8 - (-11 + -15)) + 156 is divided by 59.
56
Calculate the remainder when 683 is divided by (15 - (3 - -5)) + 53.
23
Let l = 15555 - 15532. What is the remainder when 152 is divided by l?
14
Calculate the remainder when 783 is divided by (-1 + (-22)/(-4))/((-96)/(-512)).
15
Let h = 4 - 3. Suppose 110 = 434*b - 429*b. Calculate the remainder when b is divided by h.
0
Calculate the remainder when 69/(-1449) - 32174/(-42) is divided by 96.
94
Suppose 13*w = -0*w - 4*w + 476. What is the remainder when 964 is divided by w?
12
Let c(p) = 40*p**3 - 16*p + 17. Let n(j) = -j + 13. What is the remainder when c(1) is divided by n(4)?
5
Let y be 4/1 - (-1 - 3). Suppose j = h + 1, -y = -4*j + 5*h - 2*h. Let m = 25 + -6. Calculate the remainder when m is divided by j.
4
Let n be (0 + 6 + -8)/((-2)/(-1)). What is the remainder when (-3)/9*-9 - -24 is divided by 1/(n + 4/8) - -16?
13
Suppose 0 = -4*a + 55 - 7. Suppose -2*h - 4*h + a = 0. Suppose -3*d + 45 = 5*s + d, h*d = -10. Calculate the remainder when 49 is divided by s.
10
Suppose 2*y + 5*t + 21 = 3*y, -48 = -2*y + 4*t. Suppose 184*i - 185*i = -y. What is the remainder when 204 is divided by i?
22
Calculate the remainder when (-50)/(-45) + 93465/81 + -5 is divided by 19.
10
Suppose 0 = -m + g + 305, 4*g - 267 - 23 = -m. What is the remainder when 1514 is divided by m?
4
Let s = 22 - -1. Suppose s*c = 16*c + 574. What is the remainder when 406 is divided by c?
78
Suppose 4*h = -2*y + 140, 2*h = -2*y + h + 125. Calculate the remainder when 2817 is divided by y.
57
Let a be ((-108)/10)/((-2)/(-10)*-1). Suppose -2*r + r = -a. Calculate the remainder when r is divided by 22.
10
Suppose 0 = a - s + 4*s - 11, 0 = -4*a + 5*s + 44. Let n = a + 10. What is the remainder when (328/(-10))/((-34)/85) is divided by n?
19
Suppose -5*a + 3*m = -1, 5*a - 4*a = m + 1. Calculate the remainder when 0/(a - -2) + 79 is divided by (-54)/2*((-46)/(368/(-120)) + -16).
25
Let r = 12 - -8. Suppose 0 = -3*a - k + 2, -a + 13 = 3*k + 23. Suppose -70 = -2*h - a*m, 9*m - 137 = -4*h + 4*m. What is the remainder when h is divided by r?
18
Suppose -80*l + 92*l - 828 = 0. What is the remainder when 210 is divided by l?
3
Let z(b) = 97*b - 1319. What is the remainder when z(18) is divided by 10?
7
Calculate the remainder when (-13465)/(-40) - (663/104)/(-17) is divided by 24.
1
Let t = 167 - 79. Let p = -25 + 71. Suppose -5*n - 2*v + 0*v + 115 = 0, 2*n + v = p. What is the remainder when t is divided by n?
19
Calculate the remainder when 470 is divided by (4 - -32)*(-70)/(-112)*4.
20
Suppose 4*d - 111 = -5*w, -45 = w - 3*w - d. Let x(a) = -329*a + 3651. Calculate the remainder when x(11) is divided by w.
9
Suppose 10*j + 4580 = 30*j. What is the remainder when j is divided by 5?
4
Calculate the remainder when 1101 is divided by (-96)/(-3) + (-1729)/91.
9
Suppose 4*g = v - 83, -v + 33 + 35 = -g. Suppose -3*o - 628 = -5*o. Calculate the remainder when o is divided by v.
62
Let w(v) = -4*v**3 - 25*v**2 + v + 59. What is the remainder when 161 is divided by w(-6)?
8
Suppose -19*r = -20*r + 5. Suppose 5*p + 485 = r*z, -58 + 570 = 5*z + 4*p. What is the remainder when z is divided by (-2 + 25/10)*68?
32
What is the remainder when 27254*(-4*(-1)/(-1) - 1260/(-280)) is divided by 192?
187
Let i be (-10)/((-40)/6)*(-1744)/(-6). Suppose 0 = 5*l - 194 - i. What is the remainder when l is divided by 16?
14
Let c(o) = 116*o**2 + 103*o + 104. Suppose 0 = -0*m + m - 3*y - 42, -m - 4*y = -77. Suppose 3*x - 33 = m. Calculate the remainder when c(-1) is divided by x.
27
Suppose 3*d - 2*a = 9 + 9, 2*d - 2*a - 14 = 0. Suppose 812 = d*v + 4*z, 5*z - 10*z + 223 = v. What is the remainder when v is divided by 50?
48
Let g = -221 + 226. Suppose 3*v + 2*v = -g*k - 15, 4*v - 23 = 3*k. Calculate the remainder when 7 is divided by v.
1
Let a = -26 + 64. Let b = a - 73. Let p = b + 51. Calculate the remainder when 61 is divided by p.
13
Suppose -521 = -12*q + 91. Suppose -11*h + 33 + 154 = 0. Calculate the remainder when q is divided by h.
0
Let q be 3 - (3 - (-4)/(-1)). Calculate the remainder when 105/10*(q/(-6) + 2) is divided by (-2)/(20/8 + -3).
2
Let p(r) = 17*r**2 + 20*r + 133. What is the remainder when p(-10) is divided by 63?
58
Let z(s) = -8*s + 16*s + 3 + 2*s**2 - 3*s**2. Let k be z(9). Let c(b) = -4*b + 15. Calculate the remainder when c(k) is divided by 10.
9
Let t = -4098 - -4129. Calculate the remainder when 2120 is divided by t.
12
Let a(o) be the first derivative of 4*o**3/3 + 9*o**2 + 39*o - 35. What is the remainder when a(-9) is divided by 12?
9
Suppose -14*t - 9543 = 1153. Let f = -593 - t. Calculate the remainder when f is divided by 6.
3
Suppose 3756*z = 3774*z - 144. What is the remainder when 426 is divided by z?
2
Let v = -84 - -94. Suppose 2 = 3*u - v. Suppose 238 = 10*s + u*s. What is the remainder when 63 is divided by s?
12
Let t = 59 - 52. Suppose t*y - 2*y = -2*n + 53, 0 = -n + 3*y + 21. Calculate the remainder when 311 is divided by n.
23
Suppose 1455*v = 1454*v - 3, 1049 = 4*d + v. What is the remainder when d is divided by 110?
43
Let m = 9 - 54. Let w be (-399)/m + 4/30. Let l(i) = -i**2 + 10*i + 4. Calculate the remainder when 50 is divided by l(w).
11
Suppose -2157 + 1249 = -74*w + 11228. What is the remainder when w is divided by 11?
10
Suppose 0 = -5*r - 5*t + 230, -17*r + 22*r - t - 206 = 0. What is the remainder when 42 is divided by 342/r - (-1)/(28/(-4))?
2
Let k(m) = -5*m**2 + 7*m + 116. Let y be k(-10). Let c = -437 - y. What is the remainder when 113 is divided by c?
11
Let a = 53 + -32. Let o be ((3 - -2) + -4)*(-8)/8. Calculate the remainder when (3 - o) + (152/2 - -1) is divided by a.
18
Let c be ((-73)/2 + -16)*(-4)/5. What is the remainder when 12/(-126) + 1787*2/c is divided by 46?
39
Let z = 493 + 394. Suppose 52 = 891*w - z*w. Calculate the remainder when 1*47 - (-6)/3 is divided by w.
10
Suppose 0 = 3*k + k - 52. Let l = 16 - k. Suppose l*x - 13 = -2*q + 5, -3*x + 4*q + 18 = 0. What is the remainder when 21 is divided by x?
3
Let x = -22905 + 23208. What is the remainder when 363 is divided by x?
60
Calculate the remainder when (3830/25)/(10/75*3) - -5 is divided by 140.
108
Let s(n) = n**3 - 8*n**2 + 5*n - 12. Suppose 2*r = -r + 24. Suppose 2*p + 2 = -c + r, -4*p + 4 = c. Calculate the remainder when s(c) is divided by 15.
13
Let j = 264 + -144. Let x = 4 + 137. What is the remainder when x is divided by (0 - 1)/((-5)/j)?
21
Let p = 1067 + -992. What is the remainder when 12599 is divided by p?
74
Calculate the remainder when 81 is divided by (2/(-6))/(5/(-330)).
15
Suppose 3*j + 14*x = 16*x + 1222, -4*x = 3*j - 1192. What is the remainder when j is divided by 200?
4
Let r be (-2)/((4 - -2)/(-6)).