103 - 32. What is the remainder when 217 is divided by q?
21
Let k = -13 - -15. Suppose 0 = -2*s - c + 15 - 5, c = k*s - 6. What is the remainder when 54 is divided by -4 - ((s - 3) + -24)?
16
What is the remainder when 12*45/(-81)*228/(-5) is divided by 78?
70
Let c(w) = 36*w**2 - 77*w - 146. What is the remainder when 545 is divided by c(-2)?
89
Suppose 2*a - 71 = -x, -2*a - 233 = -3*x - 4*a. Calculate the remainder when 374 is divided by x.
50
Let r = -3570 + 3599. Calculate the remainder when 112 is divided by r.
25
Suppose 0 = -3*f - f - 5*u + 97, 5*f + 5*u - 120 = 0. Let y(m) = -m**3 + 114*m**2 - 4*m + 472. Calculate the remainder when f is divided by y(114).
7
Let d(y) = y**2 - 2*y + 20. Let j = 110 - 110. Let u = -150 - -227. What is the remainder when u is divided by d(j)?
17
Let q(r) = -r**3 + 11*r**2 - 7*r - 22. Let t(k) = k**3 + 8*k**2 - 10*k + 1. Let j be t(-9). Calculate the remainder when 157 is divided by q(j).
5
Let m be (-3)/12 - 1236/(-16). Suppose -212 = -m*q + 75*q. Suppose -5*n = -q + 41. What is the remainder when 179 is divided by n?
10
Let y be 62/22 - 24/(-132). Suppose -161 = -5*z - 0*z - 4*p, 157 = 5*z + y*p. Calculate the remainder when z is divided by 29.
0
Let o be (-75)/(-125)*(-10)/(-12)*-4. Calculate the remainder when (14/35)/(o/(-480)) is divided by 11.
8
Let p = 324 + -363. Calculate the remainder when p/(-4*6/24) is divided by 8.
7
Suppose -5*t - 4*s + 2486 = 0, 5*t = 3*t - 2*s + 996. Suppose -243 - t = -11*x. Calculate the remainder when 118 is divided by x.
51
Suppose 326 = 3*b - 3*z + 7*z, -z = b - 108. Suppose 0 = -3*l - 15, 39 = 5*f - 3*l - 26. What is the remainder when b is divided by (-16)/f*(-1215)/54?
34
Let w = -163 - -163. Suppose -5*i + w*i + 105 = 4*m, 4*m = 2*i + 70. What is the remainder when m is divided by 6?
2
Suppose 4*d = 14*d - 160. What is the remainder when 124 is divided by 27 - 1 - 0*4/d?
20
Let y(w) = 4*w + 131. What is the remainder when 16 is divided by y(-30)?
5
Let v(z) = -z**2 - 26. Let x be v(6). Let h = x - -135. What is the remainder when h is divided by 28?
17
Suppose q - 89 + 28 = -3*i, 5*i - 83 = 3*q. Suppose 0 = -2*p + i + 13. Suppose -2*t = -64 + 8. Calculate the remainder when t is divided by p.
12
Let h(q) = 6*q**2 + 3*q - 7. Suppose -5*v + 4*y = -305 + 14, 3*v = 4*y + 181. Calculate the remainder when h(5) is divided by v.
48
Let l be (-99)/(-12) + (-15)/(-20). Suppose 6*k - l*k = 9. Calculate the remainder when k/(-12)*2*50 is divided by 7.
4
Suppose 2*g + 96 = 5*s, -2*s + 2*g = -42 + 6. Calculate the remainder when (131 - s)/(0 - (-2 + 1)) is divided by 58.
53
Let m = 350 - 342. Calculate the remainder when 283 is divided by m.
3
Calculate the remainder when 175 is divided by (166/14)/((-134)/(-56) - (-4122)/(-1832)).
9
Suppose -4*i + 22 = 2*g, 4*i = i - 5*g + 27. Suppose -75 + 71 = -4*n. Calculate the remainder when i is divided by n.
0
Suppose -4*i - 56 = -4*l, l + 2*i = -3*i + 20. Let q = 47 - 43. Calculate the remainder when l is divided by (q/(-10))/((0 - -2)/(-30)).
3
Let o(p) = p**2 - 6*p - 89. Let h be o(13). Let g(a) = a**3 + 8*a**2 - 2*a + 3. What is the remainder when g(-6) is divided by (1/h)/((15/(-110))/(-3))?
10
Let v be (-1)/((-4)/(-16)*-2). Suppose 4*t - 155 = -3*j, v*t = j + 43 + 32. What is the remainder when 100 is divided by t?
24
Let m = 1082 + -1080. What is the remainder when 55 is divided by m?
1
Let t(d) = -38*d + 38. Let j be t(-3). Suppose -155*w = -j*w - 183. What is the remainder when 224 is divided by w?
41
Suppose 16*v - 643 - 1837 = 0. Calculate the remainder when v is divided by 76.
3
Let z = 3415 - 3402. What is the remainder when 798 is divided by z?
5
Let s(p) = 5*p**2 + 254*p + 5. What is the remainder when 1005 is divided by s(-51)?
53
Let c = 938 + -991. Let l(t) = -t**2 - 6*t + 14. Let s be l(10). Let q = c - s. What is the remainder when q is divided by 32?
29
Suppose -4*a + 828 = 13*d, -29*d = -23*d - 5*a - 389. Suppose 0 = o - 78 - 103. What is the remainder when o is divided by d?
53
Let l(n) = 112*n**2 - 1973*n - 435. Suppose -18 = s - 2*s. What is the remainder when l(18) is divided by s?
15
Let v be 10/(2 + -3)*3/(-6). Suppose -4*b + 13 - v = -c, 4*b - 2*c - 4 = 0. Calculate the remainder when 36 is divided by b.
0
What is the remainder when (8/(-6))/(162/(-43497)) is divided by 8?
6
Let g(x) = -3*x**2 + 20*x + 16. Let r be g(18). Let d = -539 - r. What is the remainder when 158 is divided by d?
44
Let y = 2744 - 984. Let k be ((-2)/4)/(11/y). Calculate the remainder when k/120 - ((-724)/6 - 1) is divided by 25.
21
Suppose -31*p = -473 + 442. Calculate the remainder when 95 is divided by p.
0
Suppose -12*a + 11298 = -6870. What is the remainder when a is divided by 69?
65
Suppose -4*x + 138 = m - 57, 0 = -x - 21*m + 111. Calculate the remainder when 636 is divided by x.
12
Suppose 0 = -29*b + 25*b. Suppose 3*i + 3 = b, -i - i - 50 = 2*k. Calculate the remainder when 38 is divided by (-2 + -4)*(k/9)/2.
6
Let w = 55 + -7. Let i = 43 - w. Let h(c) = 2*c**2 + 7. Calculate the remainder when h(i) is divided by 30.
27
Let f = -313 + 449. Suppose -76 = -4*i + 2*i + 5*h, 5*i - f = -h. Suppose 3*d - 269 = 5*k, 2*d - k - 34 = 136. Calculate the remainder when d is divided by i.
27
Suppose 5*f + 12 = 7*f. Let x = f - -11. Let q(k) = -5*k**3 - 130*k**2 + 3*k + 83. What is the remainder when x is divided by q(-26)?
2
Suppose -180 = 4*q - 3*q. Let r = -102 - q. What is the remainder when 233 is divided by r?
77
Suppose -5*x = 7 - 42. What is the remainder when 48/112*16*(-7)/(-2) is divided by x?
3
Let l(u) = 2*u - 7. What is the remainder when 108 is divided by l(21)?
3
What is the remainder when 1459 is divided by (287/28 - 10) + 45/12?
3
Let s be -1 + 18/10 + (-6)/(-5). Calculate the remainder when -2 + s - (-163 + -34) is divided by 45.
17
Calculate the remainder when 480 is divided by (-33945)/(-292) - 5/20.
16
Suppose -60*n = -2*n - 32538. Calculate the remainder when 1700 is divided by n.
17
What is the remainder when -6 - 747*-4*7/42 is divided by 13?
11
Suppose -q + 7 + 80 = 0. Let d = 19 - 12. Calculate the remainder when q is divided by d.
3
Let s be ((-10)/15)/(2/(-12)) + -2. Let t(j) = -18 + 12 + 13*j + 11. Calculate the remainder when 56 is divided by t(s).
25
Suppose 16 = 2*c + 6. Let r be (0 - (0 - -1))*-4. Suppose -852 = -c*d + w, 672 = d + 3*d + r*w. Calculate the remainder when d is divided by 9.
8
Suppose -7*a = -2*u - 5*a + 720, a + 1066 = 3*u. Calculate the remainder when u is divided by 123.
107
Let g(a) be the third derivative of a**6/120 - a**5/5 + a**4/2 + a**2 - 201*a. Let l be -33*((-21)/9 + 2). What is the remainder when 19 is divided by g(l)?
8
Suppose -476 + 101 = -15*p. Suppose -9*w - 2*r + 68 = -8*w, 4*r - 284 = -4*w. What is the remainder when w is divided by p?
24
Suppose -4*k + 28 = -24. Suppose 4*n - 32 = -4*z, -n - 2*z + k = -0*z. What is the remainder when 84/18 - 4/6 is divided by n?
1
Suppose -3*t + t + 3070 = 0. Suppose -5*b = -185 - t. Suppose 16*q + b = 20*q. What is the remainder when q is divided by 15?
11
Suppose 276 - 261 = m. Suppose -28*c = -7019 - 93. Calculate the remainder when c is divided by m.
14
Suppose 5*u = 0, -u + 6*u - 264 = -3*r. Let d(i) = i**3 - 40*i**2 + 30*i + 375. Calculate the remainder when r is divided by d(39).
16
Let v = 7748 - 7681. What is the remainder when 1671 is divided by v?
63
Let o = 3541 + -3185. Calculate the remainder when o is divided by 89.
0
Let y(n) = 2*n**3 - 12*n**2 - 19*n + 123. Calculate the remainder when 350 is divided by y(6).
8
Let a = -382 + 383. Let w(c) = 31*c**3 - 4*c**2 + 5*c - 2. What is the remainder when 40 is divided by w(a)?
10
Suppose l = i - 41, -i + 6*i - 233 = -2*l. Suppose 6*a - i - 57 = 0. What is the remainder when a is divided by 6?
5
Let t(o) = -o**3 - 30*o**2 - 8*o - 98. Let x be t(-30). Suppose 3*l = -49 + x. Calculate the remainder when 215 is divided by l.
29
Let n(d) be the first derivative of -3*d**2 - d - 104. Calculate the remainder when 54 is divided by n(-1).
4
Let y be (0 - -15)*(43 - 40). Let b = y - -23. What is the remainder when b is divided by 23?
22
Suppose 6 = 3*o, -2*d + 7*o - 4*o - 458 = 0. Let a = d - -325. Calculate the remainder when a is divided by ((-5)/2 - 0)*(-408)/20.
48
Let w(h) = h