text stringlengths 270 8.19k | meta dict |
|---|---|
25 - j. Calculate the remainder when 23 is divided by c.
7
Suppose 0 = -4*k + 35 + 9. Suppose -k*c = -3*c - 648. Calculate the remainder when c is divided by 14.
11
Let v(n) = 2*n**3 - 6*n**2 - 4*n + 24. What is the remainder when v(6) is divided by 56?
48
Suppose -2*x + 43*z - 42*z = -190, 2*z = 3*x - 287. What is the remainder when 369 is divided by x?
90
Let q be 148 + (-4)/(-4) + (-1)/1. Calculate the remainder when 117 is divided by q/5 + (-2)/(-5).
27
Let m = 9 - -7. Let x = 415 - 361. What is the remainder when x is divided by m?
6
Let z = 561 + -509. Calculate the remainder when 565 is divided by z.
45
Suppose 3*c - 2*c + 3*q = 16, c = 2*q + 11. Let l = 30 - -7. Calculate the remainder when l is divided by c.
11
Suppose -5*x + 100 = 5*h, -3*x + 33 = 30. What is the remainder when 126 is divided by h?
12
Suppose 0 = -3*f + 1 + 5. Let s(k) = -47*k + 288. What is the remainder when s(6) is divided by f?
0
Let d = 289 - -116. Calculate the remainder when d is divided by 24.
21
Let s = -172 - -215. What is the remainder when s is divided by 15?
13
Suppose 10*a - 7*a - 1759 = -5*r, -a - 347 = -r. Calculate the remainder when r is divided by 9.
8
Let o = 1920 - 1784. What is the remainder when o is divided by 42?
10
Suppose -5*n - 6 = 4, -39 = -x - n. What is the remainder when 118 is divided by x?
36
Let c(n) = 13*n + 6. Let g(b) = 2*b**3 - b**2 + b + 1. Let p be g(2). Let k = p + -3. What is the remainder when c(2) is divided by k?
8
Suppose l - 3*w = 540, 4*l - 3*w + 1035 = 6*l. Calculate the remainder when l is divided by 48.
45
Suppose 0 = -4*q - 96 - 360. Let u = q - -128. What is the remainder when u is divided by 4?
2
Suppose -2*u + 2 = 3*n, 0*u + 2 = -2*u - 2*n. Calculate the remainder when u/(-30)*17*6 is divided by 9.
8
Suppose 78*d - 19845 = 29*d. Calculate the remainder when d is divided by 17.
14
Let k be 32/(-5) + 6 + (-36)/10. Calculate the remainder when (k/3)/(-1 - 95/(-105)) is divided by 9.
5
Let n = -208 - -222. Let z(h) = h**2 + 3*h - 2. Let l be z(6). Suppose -4*o + 48 = -l. Calculate the remainder when o is divided by n.
11
Let p(z) = z**3 - 9*z**2 - 23*z + 15. Let b be p(11). Suppose -b*l = -41 + 5. Calculate the remainder when 29 is divided by l.
2
Let d = -108 - -151. Suppose 1 = 5*x - 44. Calculate the remainder when d is divided by x.
7
Suppose -111 = -h + 3*o, -153 = -5*h + 2*o + 441. What is the remainder when 330 is divided by h?
90
Suppose -3*f + 1105 = 10*f. What is the remainder when f is divided by -1 - (-31 + (-1)/(-1))?
27
Suppose 2*n + 79 = t, -2*n + 7*n - 44 = -t. Suppose -15*q - 79 + 529 = 0. Let r = q + -20. What is the remainder when t is divided by r?
9
Let j(r) = r**2 - 7*r - 11. Let p be j(9). Suppose -p*q + 2*q = -25. What is the remainder when 7 is divided by q?
2
Suppose -12*k = -42 + 6. Calculate the remainder when 69 is divided by (6/(-4))/((k/(-26))/3).
30
Let s(v) = -6*v + 4. Let j be s(3). Let r(k) = -2*k**3 - k**2 + 2. Let w be r(-2). Calculate the remainder when 22 is divided by 2/j - (-170)/w.
10
Let p(r) be the first derivative of -r**2/2 - 6*r - 2. Calculate the remainder when 2 is divided by p(-8).
0
Let c(s) = 2*s**2 + 2*s + 10. Calculate the remainder when 130 is divided by c(5).
60
Let m = -11 - -11. Suppose 3*c - c = m. Let t(u) = -u**3 + 2*u**2 + 82. Calculate the remainder when t(c) is divided by 17.
14
Calculate the remainder when 3 - 0 - (-43 - -51) - -580 is divided by 17.
14
Let h = -30 - -37. Suppose -3*m + 8 = -h. Let i(j) = 2*j**2 - 5*j + 4. What is the remainder when i(3) is divided by m?
2
Suppose 1143 = 4*i - 369. Suppose 24*h = 17*h + i. What is the remainder when 268 is divided by h?
52
Let u(c) = -c. Let t(w) = -5*w - 11. Let n(q) = -t(q) + 6*u(q). Let l be n(9). Suppose -23 = -5*o + l. Calculate the remainder when 10 is divided by o.
0
Let j = 1662 - 1636. What is the remainder when 414 is divided by j?
24
Let g(q) = 1 + 9*q - 5*q**2 + q**3 - 3*q**2 - 16 - 4*q. Let o = 15 + -1. What is the remainder when g(8) is divided by o?
11
Let k(y) be the second derivative of y**5/20 + y**4/3 - 2*y**3/3 + 5*y**2 - 5*y. What is the remainder when 17 is divided by k(-5)?
2
Let b(c) = -c**3 - 8*c**2 - 4*c + 1. What is the remainder when 125 is divided by b(-8)?
26
Let f(i) = 67*i - 2846. Suppose -5*p - 80 = -200. What is the remainder when f(43) is divided by p?
11
Calculate the remainder when 1054 is divided by 6/(((-30)/80)/(-3)).
46
Let r = 3 + -3. Suppose r = b - j - 14, 3*b - j = -4*j + 12. What is the remainder when 18 + (-7 - -1 - (-48)/12) is divided by b?
7
Let s(q) = q**3 + 8*q**2 - 4*q - 9. Let r be (-99)/11 + 1/1. Calculate the remainder when s(r) is divided by 9.
5
Let v be ((3 - -3) + -4)*102. Calculate the remainder when 66 is divided by (v/30)/(6/15).
15
Let s(u) = -19*u - 5. Let t be s(-4). Suppose 6*p - 37 = t. Suppose -4 = -2*i + 6. What is the remainder when p is divided by i?
3
Let h = 51 - 43. Let g be -3*(-15)/12*4. Suppose d + 4*d - g = 0. Calculate the remainder when h is divided by d.
2
Let u = -148 - -178. What is the remainder when 89 is divided by u?
29
Let q = 1347 - 1280. Calculate the remainder when 867 is divided by q.
63
Let o(f) = 5*f - 32. Let y be (-1)/4 + (4 - (-58)/8). What is the remainder when o(y) is divided by 5?
3
Let s(t) = -t**3 + 6*t**2 - 4*t - 5. Let x be s(5). Suppose 3*n = -x*n + 57. Calculate the remainder when 94 is divided by n.
18
Let z(s) = s**2 + 1. Suppose 5*h = -4*p + 37, 4*p - 52 = -3*h - 33. What is the remainder when h is divided by z(2)?
4
What is the remainder when (-4)/(-6) - 151/(-3) is divided by 183/10 - 102/340?
15
Suppose -27*o + 246 = -21*o. Calculate the remainder when o is divided by 14.
13
Let n(g) = g + 10. Let p = -9 + 3. Suppose 29 = 5*q - w, 0 = -5*q - 2*w - 14 + 31. Calculate the remainder when q is divided by n(p).
1
Suppose 113*j - 16 = 112*j. Calculate the remainder when 505 is divided by j.
9
Suppose 3*x - 7 = 32. Suppose -7 - x = -4*u, -28 = -4*a - 4*u. Suppose 2*r = -a*p + 18, -p = -4*p - 12. Calculate the remainder when 24 is divided by r.
11
Let w(t) = t**2 + 5*t + 4. Let y(v) = -v**3 + 3 + 3 - 2*v**2 - 3 + v**2 + 2*v. Calculate the remainder when w(-5) is divided by y(-2).
1
What is the remainder when 57 is divided by -10*(-10 - (7 + -15))?
17
Let x = 60 - 28. Suppose -2*i + 2*r = -244, 0*r - 4*r + 637 = 5*i. What is the remainder when i is divided by x?
29
Suppose 5*h = -3*v - 22, h = -5*v + 6*h - 50. Let z be 372/5 - v/15. Suppose -5*a + z = -50. What is the remainder when a is divided by 13?
12
Suppose -313*x + 317*x = 120. What is the remainder when 147 is divided by x?
27
What is the remainder when 34 is divided by 1 + 7*15/35?
2
Let s(u) = -u + 23. Suppose -6 = 4*t - x - 39, 5*x - 27 = -4*t. Calculate the remainder when s(0) is divided by t.
7
Let a(l) = 2*l - 11. Let o be a(10). Let c = -6 + o. What is the remainder when 9 is divided by c - 1 - (0 + -4)?
3
Suppose 3*o + 30 = -v - 64, 2*o + v = -61. Let g = o - -11. Let s = g + 23. What is the remainder when 1 is divided by s?
0
Let g = 32 - 4. Let r(n) = n**2 - 46*n + 82. Calculate the remainder when r(0) is divided by g.
26
Let o = 172 - -164. Suppose -4*w + o = 4*w. What is the remainder when 167 is divided by w?
41
What is the remainder when (-4 - 52/(-16))*-908 is divided by 19?
16
Let k(q) = 102*q**2 - 3. What is the remainder when k(-1) is divided by 68?
31
Let t(h) be the first derivative of 3*h**4/4 - 7*h**3/3 - 3*h + 20. Calculate the remainder when t(3) is divided by -3*((-7)/3 + 1).
3
Let a(i) = 20*i**2 + 2*i - 1. Let u be a(-2). Suppose 0 = -4*l - l + u. Let h = 172 - 114. What is the remainder when h is divided by l?
13
What is the remainder when 113 is divided by (-147)/(-42)*48/14?
5
Let w(g) = -15*g. Let l be w(1). What is the remainder when (0 + 8)/(l/(-90)) is divided by 7?
6
Let z(m) = -m**3 + 9*m**2 - 9*m + 7. Let f(w) = -w**2 - 8*w - 3. Let n be f(-7). What is the remainder when z(n) is divided by 13?
12
Let q = -108 + 173. Calculate the remainder when q is divided by 20.
5
Suppose 77 = 4*x - 3*f, 0 = 3*f - 6 + 3. Calculate the remainder when 439 is divided by x.
19
Let a(i) = -1 + 3 + 4 - 30 + 2*i. What is the remainder when 69 is divided by a(21)?
15
Suppose 0 = m - 2*u - 57, 2*m - 167 = -m + 4*u. Let b = 3 | {
"pile_set_name": "DM Mathematics"
} |
, -3, 33, 4, -5 in increasing order.
-6, -5, -3, 4, 33
Put 316, 4, -6/11, -0.3, -8 in descending order.
316, 4, -0.3, -6/11, -8
Sort -67, 1, -6 in increasing order.
-67, -6, 1
Sort 1, 123, -2 in ascending order.
-2, 1, 123
Put 0, -1, 19 in ascending order.
-1, 0, 19
Sort 0, -2, 9, -6, 18.
-6, -2, 0, 9, 18
Sort 3, 18, 2.
2, 3, 18
Sort 13, 2, 28 in ascending order.
2, 13, 28
Sort -3, 1, -0.02, 0.
-3, -0.02, 0, 1
Sort -4/7, 1, -2, -9/8, -1 in decreasing order.
1, -4/7, -1, -9/8, -2
Sort -41, 2, -2, -5 in decreasing order.
2, -2, -5, -41
Sort 1, -8, -3, -5.
-8, -5, -3, 1
Put 2/11, 2/67, -0.01, 2/3 in increasing order.
-0.01, 2/67, 2/11, 2/3
Put 1/2, 0, -2/11 in decreasing order.
1/2, 0, -2/11
Sort 3, 0, 5, -4, 23 in increasing order.
-4, 0, 3, 5, 23
Sort 1, 5, 2/9 in decreasing order.
5, 1, 2/9
Sort -3/7, 0.1, 0.044 in descending order.
0.1, 0.044, -3/7
Put 1, 15860, -2 in descending order.
15860, 1, -2
Put 0.09, 1/6, -2/71 in ascending order.
-2/71, 0.09, 1/6
Put 6, 0, 2, -17 in descending order.
6, 2, 0, -17
Sort -8/15, -2/5, -1/39.
-8/15, -2/5, -1/39
Sort 0, -30, -5, 9 in descending order.
9, 0, -5, -30
Sort 9, -4, 2, 5.
-4, 2, 5, 9
Sort -2/23, -42, 1, -19, -2 in decreasing order.
1, -2/23, -2, -19, -42
Put 2, 9, -10 in descending order.
9, 2, -10
Sort 15.9, 3/4, -2, -0.1 in decreasing order.
15.9, 3/4, -0.1, -2
Sort 2, 190, -1 in decreasing order.
190, 2, -1
Put 3, -20, -48 in ascending order.
-48, -20, 3
Put -2, 2, -8, 1, 13 in descending order.
13, 2, 1, -2, -8
Sort 28/3, 0.3, 1, -4, -0.1 in decreasing order.
28/3, 1, 0.3, -0.1, -4
Sort 4, 1, 15, 2 in descending order.
15, 4, 2, 1
Sort -15, 2, -4, -6, 4 in ascending order.
-15, -6, -4, 2, 4
Sort 4, 15, -0.4 in ascending order.
-0.4, 4, 15
Sort -2, 3, -10, 7, 15.
-10, -2, 3, 7, 15
Put -5/18, 3, 0, -3 in increasing order.
-3, -5/18, 0, 3
Put 5, 36, -36 in descending order.
36, 5, -36
Sort 0.3, -2, -0.2, 239 in decreasing order.
239, 0.3, -0.2, -2
Put 1, -4, -95 in decreasing order.
1, -4, -95
Sort 0.04, 0.055, -1/3 in decreasing order.
0.055, 0.04, -1/3
Sort 2/21, 6, 0.2, 2/7.
2/21, 0.2, 2/7, 6
Sort 1, 5, -151.
-151, 1, 5
Sort -5, -1, -24 in decreasing order.
-1, -5, -24
Sort -1/3, 9, 2/7, 1, 4 in decreasing order.
9, 4, 1, 2/7, -1/3
Put 10, 2/5, 1/3, -1/3, 0.318 in decreasing order.
10, 2/5, 1/3, 0.318, -1/3
Put 1/2, -2/19, -0.3, -2 in descending order.
1/2, -2/19, -0.3, -2
Sort -4, 5, -179, 0.1, 0 in increasing order.
-179, -4, 0, 0.1, 5
Sort 16, 2, 5, -5, 1 in decreasing order.
16, 5, 2, 1, -5
Put 3, -1, -5, 3/22, 5 in descending order.
5, 3, 3/22, -1, -5
Put 102, -2, 38 in increasing order.
-2, 38, 102
Put 5, 29, 3, -4 in ascending order.
-4, 3, 5, 29
Put 9, -3/8, 2, -4, 0.156 in increasing order.
-4, -3/8, 0.156, 2, 9
Sort 2/67, -5, 3/5, -0.3, 1 in ascending order.
-5, -0.3, 2/67, 3/5, 1
Put 10, 6, -9, 8 in ascending order.
-9, 6, 8, 10
Sort 973, 1, 3, 2.
1, 2, 3, 973
Sort -4, -6, 3, 1, 5 in increasing order.
-6, -4, 1, 3, 5
Put -33, 2, 3, 1 in increasing order.
-33, 1, 2, 3
Sort 5, -0.4, -1/2, -91.
-91, -1/2, -0.4, 5
Put 45, -4, -5 in increasing order.
-5, -4, 45
Sort -0.3, -5/2, 10 in decreasing order.
10, -0.3, -5/2
Put 0.5, 20/13, -0.2 in decreasing order.
20/13, 0.5, -0.2
Put -319, 3, 2 in descending order.
3, 2, -319
Sort -25, 2, 7.
-25, 2, 7
Put -1/3, 4838, 0 in increasing order.
-1/3, 0, 4838
Sort -0.03, 1/8, -5, -7/3 in ascending order.
-5, -7/3, -0.03, 1/8
Put 1, 43, -3 in decreasing order.
43, 1, -3
Sort -5, -1, 1, -15 in descending order.
1, -1, -5, -15
Put -649, 5, 1 in descending order.
5, 1, -649
Put 3, -17, -5, 1, 4 in ascending order.
-17, -5, 1, 3, 4
Sort -75, 1/9, 2/15 in decreasing order.
2/15, 1/9, -75
Sort 1/5, -1/5, 5/3, 260 in increasing order.
-1/5, 1/5, 5/3, 260
Put -4, 1/7, -3/20, -5, 4 in decreasing order.
4, 1/7, -3/20, -4, -5
Put 88, 3, 0.3 in ascending order.
0.3, 3, 88
Put 4, 1, -3, 1.08 in ascending order.
-3, 1, 1.08, 4
Sort 0.2, 2, 42 in decreasing order.
42, 2, 0.2
Put 1, 15, 6 in decreasing order.
15, 6, 1
Put -0.3, -1/242, -2/13 in decreasing order.
-1/242, -2/13, -0.3
Put -2/11, 5, -0.2, 3 in increasing order.
-0.2, -2/11, 3, 5
Put 175, -6, 0 in descending order.
175, 0, -6
Sort 4, 2645, -3, -2, -5 in decreasing order.
2645, 4, -2, -3, -5
Put 0.1, -2/11, 3, 1, -2/9 in descending order.
3, 1, 0.1, -2/11, -2/9
Put 1, 6, -25 in increasing order.
-25, 1, 6
Sort -4, 6/11, 2/9, -0.2.
-4, -0.2, 2/9, 6/11
Sort -1, 2, 5, 4 in descending order.
5, 4, 2, -1
Sort -5, 1, 4, -1.
-5, -1, 1, 4
Put 0.2, 2.4, 13 in decreasing order.
13, 2.4, 0.2
Put 77, -2, 4 in descending order.
77, 4, -2
Put -28, 1, -4 in decreasing order.
1, -4, -28
Sort -7, 5, -10.
-10, -7, 5
Sort 3, -5, -3, -22.
-22, -5, -3, 3
Sort 0, 4/7, -0.43, 4 in descending order.
4, 4/7, 0, -0.43
Put -4, 3, -10, -80 in ascending order.
-80, -10, -4, 3
Put -2/11, 548, -1/7 in decreasing order.
548, -1/7, -2/11
Put -5, -9, 20 in ascending order.
-9, -5, 20
Put 2, 34, 4 in increasing order.
2, 4, 34
Put -1/16, -7, -3 in decreasing order.
-1/16, -3, -7
Sort -2, 0, 14.
-2, 0, 14
Put 24, -2, 2, -5 in ascending order.
-5, -2, 2, 24
Sort -10, 2, -4, -3, 20 in descending order.
20, 2, -3, -4, -10
Sort 5, -3, -920 in decreasing order.
5, -3, -920
Put -20, -8, -31 in increasing order.
-31, -20, -8
Sort -14, -20, 5.
-20, -14, 5
Sort 176, -5, 3, 28, -3.
-5, -3, 3, 28, 176
Put 5, 4/3, 0.5, 6 in ascending order.
0.5, 4/3, 5, 6
Sort 5, 7, 2, 3 in increasing order.
2, 3, 5, 7
Put -0.2, 1, -72, -2 in descending order.
1, -0.2, -2, -72
Sort 2, -1, 5, -17 in descending order.
5, 2, -1, -17
Put -0.2, 1/2, -3 in decreasing order.
1/2, -0.2, -3
Sort -2/17, -1, -4/3, -0.1, 0.2 in ascending order.
-4/3, -1, -2/17, -0.1, 0.2
Put -1, -1/4, -0.1, 2/29, 0 in ascending order.
-1, -1/4, -0.1, 0, 2/29
Put 1/5, -4, 2/13, -1/4 in ascending order.
-4, -1/4, 2/13, 1/5
Sort -1, 3, 193, -4 in decreasing order.
193, 3, -1, -4
Put -1/9, -2, 0.1, 0, 1 in decreasing order.
1, 0.1, 0, -1/9, -2
Sort 5, -316, -1 in ascending order.
-316, -1, 5
Put 3, -5, 4, 10 in descending order.
10, 4, 3, -5
Sort -4, -1041, 2.
-1041, -4, 2
Put -1, -8, 3, -2 in ascending order.
-8, -2, -1, 3
Put 5, -5, -3, 15 in descending order.
15, 5, -3, -5
Sort 5, -0.2, -13 in ascending order.
-13, -0.2, 5
Put 1, -11, 4, 0, 5 in descending order.
5, 4, 1, 0, -11
Put 0, -4, 25 in decreasing order.
25, 0, -4
Put 2, 5, 3/2, -16, -11 in ascending order.
-16, -11, 3/2, 2, 5
Sort -786, 3, -5, -3 in decreasing order.
3, -3, -5, -786
Put 4, -0.5, -0.6, -198 in decreasing order.
4, -0.5, -0.6, -198
Sort -3, 0.2, 0.4, 5, 2/7.
-3, 0.2, 2/7, 0.4, 5
Sort -0.5, -0.05, 1/16, -2 in ascending order.
-2, -0.5, -0.05, 1/16
Sort 59, -0.5, 5 in descending order.
59, 5, -0.5
Sort -5/6, -10, -8 in increasing order.
-10, -8, -5/6
Sort 2, -6, 5, 0, -3 in descending order.
5, 2, 0, -3, -6
Put 2, 25, 34 in descending order.
34, 25, 2
Put -20, 0.4, -3, -7, 1/9 in descending order.
0.4, 1/9, -3, -7, -20
Put -12, 3, 19 in ascending order.
-12, 3, 19
Sort 2, -3, -17, 6 in decreasing order.
6, 2, -3, -17
Sort -6/7, -171, -14 in ascending order.
-171, -14, -6/7
Put 0, 142, 4, -3, -4 in descending order.
142, 4, 0, -3, -4
Put 4, 17, 2, -4 in decreasing order.
17, 4, 2, -4
Sort 5, -4, -5.
-5, -4, 5
Put -9, -0.2, 1/4, 0.1, -2 in decreasing order.
1/4, 0.1, -0.2, -2, -9
Put 2/7, -2/9, 3/2, 2/5 in descending order.
3/2, 2/5, 2/7, -2/9
Sort 1, 4, 8 in decreasing order.
8, 4, 1
Put 1, 4, -1, -10839 in descending order.
4, 1, -1, -10839
Put -10, 3.5, 4, 5 in ascending order.
-10, 3.5, 4, 5
Sort -1, 512, 2, 5, 3.
-1, 2, 3, 5, 512
Sort 1, 0.1, 2/3, -1, -0.045 in descending order.
1, 2/3, 0.1, -0.045, -1
Sort -12, 4, 5, 2 in increasing order.
-12, 2, 4, 5
Put 0.1, 0, -49/5 in increasing order.
-49/5, 0, 0.1
Sort 0.35, 1, -0.4 in increasing order.
-0.4, 0.35, 1
Sort 9, -7, 0, 5 in increasing order.
-7, 0, 5, 9
Sort -1, 3, 197, -5, -3 in ascending order.
-5, -3, -1, 3, 197
Put -5, -1/6, 14, 3/5 in increasing order.
-5, -1/6, 3/5, 14
Sort -2, 11, 1 in increasing order.
-2, 1, 11
Sort -65, 2, 1, -5, 4.
-65, -5, 1, 2, 4
Put 3, 9, 2, -4, 1 in decreasing order.
9, 3, 2, 1, -4
Sort -2, 1, -5.
-5, -2, 1
Sort 5, -7/113, 0.3.
-7/113, 0.3, 5
Sort -4, 0, 81 in decreasing order.
81, 0, -4
Put -0.26, -5, -3 in decreasing order.
-0.2 | {
"pile_set_name": "DM Mathematics"
} |
*j**2 - 3*j + 6. Is l(m) composite?
True
Let b = -187 - -524. Is b composite?
False
Suppose -y - 3 = -w, -y - 4*w + 2*w = -6. Let r be -167 + (y - (0 - 2)). Let b = -118 - r. Is b a composite number?
False
Suppose -o - 3 = -5*f + 2, 3*f + 25 = -5*o. Let p(t) = -t + f*t**2 + 4*t**2 - 1 + 3*t. Is p(-4) a composite number?
True
Suppose -3*d + 72 = -51. Let o = 105 + -69. Let z = o + d. Is z prime?
False
Is 2052 - (6 + -3)/(-3) a prime number?
True
Suppose 2975 + 19192 = 9*j. Is j composite?
True
Suppose 0 = 3*s - 7*s + 3764. Is s composite?
False
Let m(a) be the first derivative of -a**3/3 + 7*a**2/2 + a + 19. Let l be 1 - (1 + -2) - -3. Is m(l) a composite number?
False
Let s(j) = -6*j - j**3 - 5*j**3 - 13 - 8*j**2 + 7*j**3. Is s(10) a composite number?
False
Suppose 3*t = -t + 3*c + 51, -3*t + 47 = -4*c. Suppose -2*u = -5*u + t. Suppose 0 = -u*i + 3 + 9. Is i a prime number?
False
Suppose x = -2*c + 507, 4*c = 2*x + 206 + 788. Is c composite?
False
Let j = 18 + -24. Is 2286/14 + j/21 prime?
True
Let w be (85 + -2)*1/(-1). Let d(t) = 3*t**2 - 5*t + 8. Let f be d(7). Let z = w + f. Is z a prime number?
True
Let b = 8 + -7. Is 47/4*(3 + b) prime?
True
Let t = 1687 - 886. Suppose 4*q - t = -277. Is q a composite number?
False
Let j be 242/8 + 2/(-8). Suppose -j = -5*q + 35. Is q composite?
False
Let i = 5 - 4. Let c be (0 + i)*(-6)/(-2). Suppose -5*d - z - 2*z = -101, 6 = c*z. Is d a prime number?
True
Suppose 4 = 5*u - 4*u. Suppose -2*d - i - i + 40 = 0, -i + 77 = u*d. Is d composite?
False
Let z(m) = -320*m + 3. Is z(-5) a prime number?
False
Let o be 222*(6/4)/3. Suppose 4*u - 3*w = -176, 4*u - 5*w = -111 - 65. Let j = u + o. Is j a prime number?
True
Let i = 12 - 59. Let r = -22 - i. Is 0 + r + -6 + 3 a composite number?
True
Let u = 14 - 7. Let a = 4 - u. Is -9*((-2)/a)/(-1) a prime number?
False
Let i(v) = -v**2 - v + 2. Let w be i(0). Suppose j - w*j = 0. Suppose 3*r + 27 - 228 = j. Is r a composite number?
False
Suppose -3*l = 4*u + 22 + 19, 5*l = 5. Suppose 99 = 4*c + 27. Let h = u + c. Is h a prime number?
True
Let m = -102 - -428. Let j = -199 + m. Is j composite?
False
Is ((-11)/2)/(13/(-208)) + 3 a prime number?
False
Let o = -8 - -4. Let x be (-6)/o*10/3. Suppose 0 = -x*z + z + 28. Is z composite?
False
Let h be 2/(-2)*2 + -8. Let k(s) be the first derivative of s**4/4 + 10*s**3/3 - 5*s**2 + 13*s + 4. Is k(h) a prime number?
True
Suppose 4*h - 2*y - 19 + 5 = 0, -5*h - 2*y + 13 = 0. Suppose 0 = -4*w + h*x + 7 + 26, -5*x = 4*w - 9. Is (-2)/w - 472/(-12) a composite number?
True
Let y = 2 + 1. Let x(m) = 35*m**2 - 1. Let k be x(1). Suppose -y*p + 415 = k. Is p a prime number?
True
Let n(d) = -2*d + 4. Let h be n(4). Let t = h - -6. Suppose 15 = k + 3*z, 3*z + 7 = -t*k + 43. Is k a prime number?
False
Suppose -t + 990 = -699. Is t a prime number?
False
Let q(t) = -t**3 - t**2 + 121. Let v be q(0). Let d = 178 - v. Is d a composite number?
True
Suppose x = t - 775, x + 3*x + 3121 = -3*t. Let h = -545 - x. Is h composite?
False
Suppose -5*x + 16 = 1. Suppose 0 = -4*f - u - 12, 3*u - x = -2*f - 9. Is 3/f - (-6 - 2) composite?
False
Suppose -394 = -2*a + 4*u, -2*a = -3*a + u + 194. Is a a prime number?
True
Suppose -66 = -5*u + 6*u - 3*h, 222 = -4*u - 2*h. Let c = 39 + u. Let z = 37 + c. Is z composite?
False
Is 1 + -2 + (1057 - 1) prime?
False
Let p be 109 + (-2)/2 + 0. Suppose -272 = -5*n + 83. Let l = p - n. Is l a composite number?
False
Let j = 8 - 1. Let s(w) = -10*w + 0 - 3*w**3 - 2 + j*w**2 - 3 + 4*w**3. Is s(-7) a composite number?
True
Is ((-53316)/60)/(1*3/(-15)) a composite number?
True
Let n(d) = -5*d. Let q be n(1). Let k(u) be the third derivative of u**5/60 + u**4/24 + 5*u**3/6 - u**2. Is k(q) composite?
True
Suppose 5*f = 4*x + 3*f - 840, 3*f - 1061 = -5*x. Is x a prime number?
True
Suppose 0*p + 4*p - 1628 = 0. Is p composite?
True
Let n be 0/((-6)/(2 - 5)). Suppose -3*v + 4*v + 2 = n. Is (381/(-6))/(v/4) a composite number?
False
Let x(u) = 9*u**2 - 2*u + 3. Is x(2) prime?
False
Let n be (-3)/6 - (-54)/4. Let c(b) = 6*b + 9. Is c(n) prime?
False
Let g(v) = -5*v - 2. Let w be g(-2). Let q = w + -6. Let h(x) = 6*x**2 - x + 1. Is h(q) a composite number?
False
Let p(r) = r + 9. Let y be p(-4). Suppose 150 = -0*s + s + 4*x, 382 = 3*s - y*x. Is s composite?
True
Let t(u) = -28*u + 5. Let j(r) = -83*r + 14. Let m(h) = 3*j(h) - 8*t(h). Is m(-3) prime?
False
Let t(f) = 4*f + 5. Let v(m) = -16*m - 20. Let q = 10 - 19. Let c(p) = q*t(p) - 2*v(p). Is c(-4) a prime number?
True
Suppose 16 + 15 = j. Is j prime?
True
Let a(r) = r**2 + 2*r - 1. Suppose 0 = u + 5. Is a(u) a prime number?
False
Let b = -1 + 3. Suppose -26 = -b*o + 114. Suppose 3*l + i = o, -3*l + i + 3*i + 65 = 0. Is l composite?
False
Let j = -3982 - -5847. Is j prime?
False
Let a = -35 + 129. Suppose 2*c = 6*c - 140. Let l = c + a. Is l prime?
False
Let v(t) = -t**2 + t + 55. Suppose q - 5*c + 5 = 6*q, -5*c = -5*q - 5. Is v(q) prime?
False
Let t = -3 - -152. Is t a composite number?
False
Suppose 0*p - p + 5 = 0. Suppose 10 + 50 = p*z. Let f = z - -9. Is f a prime number?
False
Is (11/(-2) - -5)*(-143 + 1) a composite number?
False
Let y be -3 + 6 + 8 + -2. Let k(r) = -r**3 + 9*r**2 - 4*r + 0*r - 8 + 7*r. Is k(y) prime?
True
Suppose 4*u - 31 - 25 = 0. Let s be 66/u + 2/7. Suppose 0 = s*a - p - 576, -5*a = -4*p - 0*p - 579. Is a prime?
False
Let j = -5 - -7. Let q = j - 1. Is q/4 + 27/4 a prime number?
True
Suppose 4*k + 1553 = -0*h + 5*h, 4*h = -2*k + 1232. Is h a composite number?
True
Let p(r) = 1630*r**3 + r**2 + 2*r - 2. Is p(1) a composite number?
True
Suppose 4*p + 2*b = 1526, -3*p = -7*b + 4*b - 1122. Is p a prime number?
True
Let a be (1 - 3)/(4/34). Suppose 5*q + 5*g - 6*g = 280, -224 = -4*q + g. Let i = q + a. Is i a prime number?
False
Let x be (-10)/15 - (-544)/6. Let f = -38 + x. Suppose j + j = f. Is j composite?
True
Suppose -4*d - 439 = -5*m, -d = -m - 4*d + 103. Is m a composite number?
True
Let q(c) = -26*c - 8. Let n be 1/(10/11 + -1). Is q(n) a prime number?
False
Suppose 4*r + t - 5 = 0, -3*r + 5*t - 2 = -0*t. Is 3 + 0 - (-110)/r a composite number?
False
Let q be -61 + 2/((-2)/2). Let i = q - -97. Is i prime?
False
Suppose i = 2*i + 4*q - 70, -q = -4*i + 297. Is i a prime number?
False
Let j(f) = -188*f**2 - 3*f - 5. Let y be j(-2). Let g = -444 - y. Is g a prime number?
True
Is (2/(-12)*-3)/(6/3108) composite?
True
Is (-2)/(-10) - (-5136)/20 a composite number?
False
Let d(i) = -40*i**3 + 2*i**2 + 1. Is d(-2) prime?
False
Let j = 7 + -4. Suppose j*u - 10 - 59 = 0. Is u prime?
True
Suppose 62 + 220 = -4*y - m, 0 = -4*y - 4*m - 288. Let s = y - -170. Let r = s - 65. Is r composite?
True
Suppose -5*s - f = -1146, -480 = -2*s + 2*f + 3*f. Suppose -a + s = a. Is a composite?
True
Let p = 14 - 0. Is (-48)/56*p/(-4) composite?
False
Let l = 1999 + -1122. Is l prime?
True
Let n = 4 - 7. Let m be 6/(-4)*2/n. Is m + -2 + 1 + 35 a prime number?
False
Suppose 3*n + 2*w + 16 + 4 = 0, 0 = -2*n + 4*w + 8. Let x = n - -7. Suppose -x*t + 94 = -t. Is t composite?
False
Suppose 2*g - 27 = h - 4*h, -4*g = -3*h + 27. Suppose -108 = -3*d - h. Is d a prime number?
False
Let m(s) = s**3 - 11*s**2 + 4*s - 13. Suppose -5*r = -23 - 32. Is m(r) a composite number?
False
Let j(s) = -3150*s. Let o be j(1). Is o/(-8) - (-8)/32 a composite number?
True
Suppose -2*s + 5*o = 3, 4*s + 5*o - 5 = 4. Let j be s + 4 + -2 - 2. Suppose -2*b + k = -j - 36, b - 16 = k. Is b composite?
True
Suppose -14*y + 10*y + 5132 = 0. Is y a prime number?
True
Let z be (-10)/(-25) + 126/10. Suppose c + 4*v - 257 = 0, c + 3*v - 244 = z. Is c composite?
False
Suppose t = -3*z + 5*z - 44, -5*z = t - 117. Is z composite?
False
Suppose -3*o = 2*t + 863, 0*o + t = 3*o + 869. Let b = o - -408. Let i = b + -60. Is i a composite number?
False
Let x = 1870 - 873. Is x a prime number?
True
Let f = 13 + -6. Suppose -19 - f = 2*n. Let r = -2 - n. Is r a composite number?
False
Suppose -4*p = -3*x + 1811, -5*x = 9*p - 13*p - 3005. Is x a composite number?
True
Suppose 3*u + s = -0*u + 620, -3*u + 600 = -3*s. Is u a composite number?
True
Suppose -9*s + 11*s - 374 = 0. Is s prime?
False
Let n = 7 - 4. Is -2 - (18/(-3) - n) a composite number?
False
Suppose 171 = -4*l - 5*o, -2*l - 2*o + 59 = -3*l. Let c = -24 - l. | {
"pile_set_name": "DM Mathematics"
} |
q*y(f) - 2*p(f).
2*f + 2
Let x(u) = -9*u + 2. Let y(g) be the second derivative of -2*g**3/3 + g**2/2 - g. What is -2*x(z) + 5*y(z)?
-2*z + 1
Let k(u) be the second derivative of -u**4/12 - u**3/6 - 2*u - 13. Let p(g) = -5*g. Determine 5*k(a) - p(a).
-5*a**2
Let k(p) = -4*p**3 + 2*p**2 - 9 - 13*p + 18 + 15*p**2. Let g(o) = -o**3 + 4*o**2 - 3*o + 2. What is -9*g(h) + 2*k(h)?
h**3 - 2*h**2 + h
Let i(s) = 2*s - 3*s - 1 + 4*s. Let f(w) = -4*w + 2. Let q(c) = 2*c - 3. Let g be q(3). Calculate g*i(z) + 2*f(z).
z + 1
Let g(t) = -7*t**2 - 3*t - 3. Let n(s) = 11*s**2 + 5*s + 5. Let z = -13 + 5. What is z*g(a) - 5*n(a)?
a**2 - a - 1
Let i(w) = 3*w + 7. Let b(f) = -8*f + 16. Let l(g) = -g + 1. Let x(n) = b(n) - 10*l(n). Determine -6*i(a) + 7*x(a).
-4*a
Let r(k) be the third derivative of k**4/24 - k**3/3 - k**2. Let v(i) = i**3 - i**2 - 3*i + 7. Let q be (2/(-5))/(6*(-7)/(-210)). What is q*v(j) - 7*r(j)?
-2*j**3 + 2*j**2 - j
Let h(c) = -3*c**3 + 2*c**2 - 2*c. Let b = -69 - -65. Let m(q) = 8*q**3 - 6*q**2 + 6*q. Determine b*m(p) - 11*h(p).
p**3 + 2*p**2 - 2*p
Let l(n) = 3*n - 6. Let d(h) = -6*h + 5. Let w(y) = -y. Let r(v) = d(v) - 4*w(v). Give 5*l(m) + 6*r(m).
3*m
Let b(p) = 3*p**3 + 2*p**2 - 4. Let o(d) = -6*d**2 - 5 + 8*d**2 + d**2 + 4*d**3. Calculate -3*b(x) + 2*o(x).
-x**3 + 2
Let d(a) be the third derivative of -a**5/10 - 2*a**3/3 + 4*a**2. Let s(l) = 5*l**2 + 3. What is -3*d(u) - 4*s(u)?
-2*u**2
Let f = -3 - 3. Let s(p) be the first derivative of -7/2*p**2 - 4*p + 4. Let j(k) = 8*k + 5. What is f*s(r) - 5*j(r)?
2*r - 1
Let f(n) = 53*n + 9. Let j(a) = -13*a - 2. Calculate -2*f(k) - 9*j(k).
11*k
Let b(p) = 11*p. Let a be b(-1). Suppose -2*u + 4*u + 4 = 0. Let h(c) = c**2 + 16*c + 10. Let o(l) = -3*l - 2. Calculate a*o(n) + u*h(n).
-2*n**2 + n + 2
Suppose 39 = -3*g + 6*g + 3*w, -2*w = -2*g + 6. Let x be (-2)/(-8)*2*-10. Let a(l) = l**2 + 5. Let i(j) = 14 - 2*j**2 + 4*j**2 - 6. Determine g*a(k) + x*i(k).
-2*k**2
Let q(z) = 2*z**2 + 2*z + 1. Let g be ((-88)/(-132))/(2/(-3) + 0). Let l(c) = -c**2 - c + 1. Give g*l(s) - q(s).
-s**2 - s - 2
Let f(c) = 16*c + 9. Let a(d) = 8*d + 4. Determine 5*a(m) - 2*f(m).
8*m + 2
Let l = -22 + 22. Let o(n) = 1 + 4*n - 2 + l. Let f(m) = m. Calculate -6*f(z) + o(z).
-2*z - 1
Suppose -5*c + 135 = 185. Let z(v) = 7*v**2 - 4. Let t(r) = r**2 - 1. Calculate c*t(s) + 2*z(s).
4*s**2 + 2
Let d(k) = 10*k**2 - 6*k - 3. Let t(q) = -9*q**2 + 5*q + 3. Determine 6*d(z) + 7*t(z).
-3*z**2 - z + 3
Let h(n) = 6*n**2 - 3*n. Let p(w) = 7*w**2 - 4*w. Determine 4*h(y) - 3*p(y).
3*y**2
Let c(k) = -11*k**3 + 2*k + 1. Let m(u) = 34*u**3 - u**2 - 7*u - 4. What is 7*c(o) + 2*m(o)?
-9*o**3 - 2*o**2 - 1
Let d = -1 - -7. Let a = -21 + 11. Let v = a - d. Let g(r) = -6*r**3 + 22*r**2 + 16*r - 16. Let i(n) = -2*n**3 + 7*n**2 + 5*n - 5. Give v*i(p) + 5*g(p).
2*p**3 - 2*p**2
Let d(g) be the first derivative of g**2/2 + 4*g - 1. Let z(t) = 2*t + 5. Determine 5*d(v) - 4*z(v).
-3*v
Let h(c) = -c**2. Let a(s) = -s**3 - 11*s**2 - 17*s + 10. Let k be a(-9). Let y(w) = 7*w**2 + w. Give k*y(p) + 4*h(p).
3*p**2 + p
Let f(w) = -2*w - 5. Let q(s) = -s - 3. Calculate -6*f(g) + 13*q(g).
-g - 9
Let m(o) = 2*o**2 - 3*o + 3. Let i(c) = c - 1. Give -3*i(d) - m(d).
-2*d**2
Let p(w) = -24*w**2 - 1 + w + 25*w**2 + 0 - w**3. Let v(f) = f**2 + f - 1. Calculate p(o) - v(o).
-o**3
Let w(m) = -5*m + 3. Let b(l) = -l - 1. Give -6*b(i) + w(i).
i + 9
Let z(k) = k + 7. Let n(t) = 1. Suppose 3*l + 3 = 4*l. Let x(g) = 0 - 1 - g + l + 8. Let m be x(9). Give m*z(v) - 5*n(v).
v + 2
Let w(x) = 1 + 0*x + 0*x - x. Suppose 4 = -y - 2. Let o(p) = -4*p - 9. Let b(h) = 11*h + 26. Let j(l) = y*b(l) - 17*o(l). Determine -3*j(m) - 7*w(m).
m + 2
Let o(a) = 35 - a - 6*a - 31. Let h(v) = 3 - 1 - 3. Let p(l) = 3*h(l) - o(l). Let t(k) = -4*k + 4. What is -6*p(r) - 10*t(r)?
-2*r + 2
Let c(m) = m - 2. Let j be c(-5). Let k(t) = 4*t - 1. Let d(w) = -20*w + 6. Let o(g) = -2*d(g) - 11*k(g). Let h(b) = 13*b + 2. Give j*o(n) - 2*h(n).
2*n + 3
Let c be (-8)/(-12)*-3 + 2. Let t(g) = c + 3 + 13*g - 2 - 6*g. Let r(z) = -z. Give 5*r(o) + t(o).
2*o + 1
Let x be -1 + 0 + 6 + -1. Let l(d) = -2*d**3 - 4. Let q(m) = 49 + 0*m**3 + m**3 - 46. What is x*q(g) + 3*l(g)?
-2*g**3
Let o(x) be the second derivative of -x**4/12 - 3*x**3/2 + 9*x**2/2 + 3*x. Let k be ((-8)/6)/((-4)/(-54)). Let b(j) = -j + 1. Calculate k*b(m) + 2*o(m).
-2*m**2
Let c(q) = -7*q**2 + 5*q - 5. Let g(f) be the first derivative of f**3 - f**2 + 2*f - 10. Calculate 6*c(t) + 15*g(t).
3*t**2
Let i(t) = t - 1. Let a(f) = -37*f. Calculate a(x) - 2*i(x).
-39*x + 2
Let w(j) = -j + 0 + 0. Let f(u) = -u**3 - 10*u**2 - 20*u + 8. Let a be f(-7). Let h(x) = x**2 - 4*x. Determine a*h(c) - 4*w(c).
c**2
Let y(v) = -14*v - 4 + 0 + 36*v - 16*v. Let n(p) = 5*p - 3. Calculate -5*n(o) + 4*y(o).
-o - 1
Let b(c) = 3*c**3 - 20*c**2 + 2. Let t(g) = -4*g + 13. Let q be t(4). Let f(j) = -j**3 + 7*j**2 - 1. Calculate q*b(y) - 8*f(y).
-y**3 + 4*y**2 + 2
Let a(z) = -4*z + 5. Let r(n) be the third derivative of -5*n**4/24 + n**3 - n**2. Suppose -f - 4*d - 15 = -5, -15 = 2*f + 3*d. Calculate f*a(q) + 5*r(q).
-q
Let t(d) = d**2. Let g(w) = w**3 + 2*w**2 + 3*w - 4. Let u(s) = g(s) - 2*t(s). Let a(l) = 3*l**3 + 8*l - 11. Give -3*a(p) + 8*u(p).
-p**3 + 1
Let r(w) = -11583*w**2 - 363*w. Let z(b) = 64*b**2 + 2*b. Give -2*r(v) - 363*z(v).
-66*v**2
Let z(h) = 21*h + 21. Let w(t) = -5*t - 5. Let q(s) = -9*w(s) - 2*z(s). Let o(j) = -j. Let l be 20/12 + (-66)/18. Calculate l*o(k) - q(k).
-k - 3
Let t(j) = -j**2. Let y(u) = 4*u**2 + 3*u + 9. Determine 3*t(h) + y(h).
h**2 + 3*h + 9
Let i(f) = f + 1. Let s(a) = -2*a - 1. Let z be s(0). Let o(v) = 3*v + 3. Determine z*o(n) + 4*i(n).
n + 1
Let h(w) = -18*w + 12. Let t(q) = -7*q + 5. Give 5*h(f) - 12*t(f).
-6*f
Let n(u) = 2*u. Let m(i) = 2*i - 1. Let j(s) = 3*m(s) - 2*n(s). Let p(k) = -4*k + 2*k + 0*k + 1 + k. Give -j(l) - 4*p(l).
2*l - 1
Let h be (3 + 0)/(-1 - -2). Suppose 5*j - 56 = 54. Suppose 5*m = -j - h. Let g(x) = x. Let s(v) = v. Calculate m*s(z) + 4*g(z).
-z
Let j(x) = x**3 + 6*x**2 + 11*x - 6. Let o(k) = 0*k**2 - 121*k - 1 + k**2 + 123*k. Give 2*j(s) - 11*o(s).
2*s**3 + s**2 - 1
Let p(q) = -9*q**3 - 3*q**2 - 4*q + 5. Let g(h) = -5*h**3 - 2*h**2 - 2*h + 3. Give 5*g(a) - 3*p(a).
2*a**3 - a**2 + 2*a
Suppose 4*s = -12, 0*w = -2*w + 5*s + 25. Let j(l) = 3*l**3 + 5*l - 5. Let t(g) be the first derivative of g**4/4 + g**2 - 2*g + 1. What is w*t(a) - 2*j(a)?
-a**3
Let s(b) = -4*b**3 - 3*b**2 + 5*b - 7. Let w(c) = -5*c**3 - 4*c**2 + 6*c - 6. Determine 4*s(u) - 3*w(u).
-u**3 + 2*u - 10
Let j(t) = -t - 2. Suppose -30 = -7*v + v. Suppose -v*s - 8 = -s. Let l(o) = o. Give s*l(r) - j(r).
-r + 2
Let g(w) = -w**2. Let x(d) = 2*d**2 - 2. Give -2*g(c) + x(c).
4*c**2 - 2
Let d(y) = 4*y - 3. Let l(n) = -n. Determine -d(p) - 6*l(p).
2*p + 3
Let f(r) = 3*r - 7. Let y(h) = 3*h - 7. Give 5*f(k) - 6*y(k).
-3*k + 7
Let t(j) = 7*j**2 + 3*j - 6. Let f(l) = -7*l - 24*l**2 + 11*l**2 - 2*l**2 + 13. Determine 4*f(n) + 9*t(n).
3*n**2 - n - 2
Let g(b) = 2*b**3 + 3. Let j(z) = -z**3 - 2. Let y(o) = -2*o**3 - 4. Let m(v) = 9*j(v) - 4*y(v). What is -2*g(w) - 3*m(w)?
-w**3
Let h(w) = -2*w + 8. Let b(u) = u - 5. Let o(i) be the second derivative of i**4/12 - 3*i**2 - i. Let y be o(5). Let q = y - 11. Determine q*b(a) + 5*h(a).
-2*a
Let l(c) = c**2. Let x be 10/(-35)*1 - (-16)/7. Let w(s) = -s**2. Calculate x*l(k) - 2*w(k).
4*k**2
Let k(r) = r**2 + r + 1. Let z(w) = 3*w**3 - 4*w**2 - 4*w - 4. Calculate 4*k(f) + z(f).
3*f**3
Let o(j) = -10*j - 6. Let d(z) = -21*z - 12. Give -3*d(s) + 7*o(s).
-7*s - 6
Let b(n) = 1. Let m(r) = -r - 1. Let g(l) = 6*b(l) + m(l). Let i(c) = -c + 6. Let p be (2/(-5))/(20/(-350)). What is p*g(h) - 6*i(h)?
-h - 1
Let d(x) = -51*x**3 - 7*x**2 - 11*x + 7. Let u(m) = -26*m**3 - 3*m**2 - 5*m + 3. Calculate 3*d(z) - 7*u(z).
29*z**3 + 2*z
Suppose 4*b + 2*f - f - 16 = 0, -4*b + 8 = -f. Let g(y) = 5*y**3 - 4*y**2 - 3*y. Let x(p) = -p**3 + p. What is b*x(t) + g(t)?
2*t**3 - 4*t**2
Let g(i) = 5*i**2 - 26*i + 16. Let x(u) = -u**2 + 5*u - 3. What is -2*g(y) - 11*x(y)?
y**2 - 3*y + 1
Let f(t) = -111*t**2 + 21*t - 21. Let a(l) = 11*l**2 - 2*l + 2. Calculate 42*a(j) + 4*f(j).
18*j**2
Let u(k) = -2*k**2 + k + 2. Suppose 2*h - j = 3, -j - 5 = -h + 3*j. Let s = -2 + h. L | {
"pile_set_name": "DM Mathematics"
} |
1*y - 13. Is l(-2) a multiple of 6?
False
Suppose 4*k - 70 = -k. Suppose 9*z = k*z - 2820. Suppose -j + 5*j - z = 0. Does 9 divide j?
False
Suppose 0 = 12*f - 30*f + 72. Suppose f*l = -5*g - 0*l + 696, 5*g = 3*l + 668. Is 17 a factor of g?
True
Let s(x) be the second derivative of 0 - 5/2*x**2 - 6*x - 7/3*x**3. Is 4 a factor of s(-5)?
False
Let v = -339 - -550. Let l = v + 9. Is 4 a factor of l?
True
Suppose 251*t = -248*t + 514*t - 867600. Is t a multiple of 120?
True
Suppose -5*b + 110 = 100. Suppose b*j + 2 = 6. Suppose -j - 80 = -2*i. Does 6 divide i?
False
Suppose -16*k + 2*k + 335580 = 37*k. Does 28 divide k?
True
Let r = 346 - 575. Let t = 243 + r. Is 7 a factor of t?
True
Let g = -3300 - -20562. Is 18 a factor of g?
True
Let y = -181 + 2127. Is 28 a factor of y?
False
Let s = -2273 - -3526. Suppose l + s = 3*p - 1556, 3 = -3*l. Is 72 a factor of p?
True
Suppose 3*j + 13*x - 88106 = 8*x, -4*j = -3*x - 117407. Is j a multiple of 5?
False
Let t = -1 + -2. Let o be (-6 - t)/(-1)*1. Suppose -y - 3*y + 4*w + 100 = 0, o*w = -3*y + 75. Is y a multiple of 5?
True
Is (-19 - -16)*1 - (3 + 0)*-1846 a multiple of 6?
False
Let y(u) = -4*u - 1 + 100 + 3*u - 18. Is y(16) a multiple of 5?
True
Suppose -2*u - 12*b + 13*b = -6962, 3*u = 3*b + 10446. Does 30 divide u?
True
Let d = 314 - 79. Let n = d + -218. Does 11 divide n?
False
Let r(v) = -3*v - 7. Let l be r(-5). Let g(i) = -60*i + 21. Let k(c) = -20*c + 7. Let f(b) = -3*g(b) + 8*k(b). Does 26 divide f(l)?
False
Suppose 0 = -u + 6, -f - 2*u = -688 + 91. Is 117 a factor of f?
True
Suppose -5*q - 10 = 0, -m + q + 16 - 2 = 0. Suppose m*v - 1740 = 2*v. Is 14 a factor of v?
False
Let j(g) = 785*g**3 + 19*g**2 - 28*g + 25. Does 149 divide j(3)?
True
Is 2427*6/14 + 14/(-98) a multiple of 16?
True
Let n(w) = -2*w. Let f be n(5). Let j(b) = -b**2 - 11*b - 7. Let c be j(f). Suppose 2*l + 4*d = 72, -c*l - d = 4*d - 106. Is l a multiple of 7?
False
Let i(k) = -k**2 - 48*k + 16. Suppose -6*w + 17*w + 286 = 0. Does 6 divide i(w)?
True
Suppose -2*r + s = -s - 2, 0 = -2*s - 2. Suppose -4*w + 10*w - 792 = r. Is 7 a factor of w?
False
Suppose -2*i + 7452 = 2*t, 5*t = 5*i + 2039 + 16561. Does 142 divide t?
False
Let y(r) be the first derivative of 3*r**4/4 - 4*r**3/3 - 2*r**2 - 5*r - 767. Let d(w) = -2*w. Let p be d(-2). Is y(p) a multiple of 29?
False
Let u(t) = t**2 - t. Let z be u(2). Suppose d - q - 147 = 0, z*d + 5*q - 313 - 2 = 0. Is 3 a factor of d?
True
Let d be 280/45 + (-2)/9. Let j(g) = -6*g - 14. Let r(f) = -f**2 - 1. Let l(x) = j(x) - 6*r(x). Is 43 a factor of l(d)?
True
Let l(z) = 2*z**2 - 10*z + 10. Let x be l(10). Suppose -22 = 3*i - 4, 0 = 4*t - 5*i + 382. Let c = x + t. Is 5 a factor of c?
False
Let r be 0*(-7 - 0 - (-35 - -29)). Suppose r = -3*u + 2*f + 1543, 4*u - 1766 = 4*f + 294. Is u a multiple of 57?
True
Let q be (4/(-6))/((6/1)/(-36)). Suppose h - 1325 = q*z + 558, 0 = -5*h - 3*z + 9530. Is h a multiple of 12?
False
Let j = -13680 - -25944. Is 14 a factor of j?
True
Let x = 7394 - 4956. Suppose -10*g + 4782 = -x. Does 38 divide g?
True
Is (-14 + (-16340)/50)*-5 a multiple of 36?
False
Let p be 452 + 2 + 0/(0 + 1). Suppose -f = 4 - p. Is 18 a factor of f?
True
Let w = 139 + -141. Is (8 - 52)/(1/w) a multiple of 22?
True
Suppose d - 29760 = -253*z + 258*z, 3*d = -2*z + 89365. Is d a multiple of 35?
True
Let l be (-33)/(-21)*190 + (-6)/(-14). Let y be 6/(1 - (-2)/4). Suppose y*b - l = 1. Is 15 a factor of b?
True
Let s = 1024 + -1020. Suppose 20 = -5*p, -102 + 21 = -3*d + 3*p. Suppose -4*m = -4, 4*m - 133 - d = -s*b. Is 19 a factor of b?
True
Let s(z) = 14*z**2 + 9*z + 12. Let v be s(-8). Suppose 0 = 10*u - v - 204. Does 6 divide u?
False
Let q(u) = u**3 - 6*u**2 + 10*u - 27. Let i be q(5). Let t be (i/5)/1 + 39314/110. Let k = -209 + t. Is k a multiple of 16?
False
Suppose u - 1722*l + 1718*l - 792 = 0, u - l - 786 = 0. Does 4 divide u?
True
Is ((-81)/18 - -4)/((-4)/(-422))*-16 a multiple of 52?
False
Let r = 150 + -3. Suppose 3*b = 4*j - r, 2*j + 2*b - 122 = -2*j. Is 2 a factor of j?
False
Let b(d) = 9*d**2 + 6*d - 1. Let l = -11 + 12. Let z be b(l). Suppose 340 = z*u + 60. Is u a multiple of 13?
False
Let x(r) = -3*r**2 + r - 6 + 5*r**2 + 2*r**2. Let a be x(3). Suppose -4*w - a + 181 = 0. Does 17 divide w?
False
Suppose 26*m - 39*m = -32*m + 51129. Does 9 divide m?
True
Let r(k) = -8*k**3 - 2*k**2 - 17*k - 38. Let l be r(-6). Suppose 2*w + 2*w + 8 = 0, -3*g + l = w. Is g a multiple of 41?
True
Suppose 0 = 5*p - 9*p + 3484. Suppose -14335 + p = -24*o. Is 14 a factor of o?
False
Let a be 9/(-3)*-1 + (-16)/(-4). Suppose h - 4*h + 912 = 0. Suppose -3*w - h = -a*w. Does 7 divide w?
False
Let q(r) = 2*r + 3. Let n(d) = 2. Let o(w) = -5*n(w) - q(w). Suppose p + 6 = -9. Does 13 divide o(p)?
False
Let b(z) = z - 35. Let o be b(9). Let u = -14 - o. Suppose -16*g + 240 = -u*g. Does 10 divide g?
True
Let i be (10/6)/(8/240*10). Suppose -i*j + 290 + 80 = -5*g, 0 = -2*j - 4*g + 142. Does 7 divide j?
False
Let s be (-3)/15 - -11*1/5. Suppose -s*v - 5*j - 463 = 0, 3*v + 5*j + 617 = -65. Let k = v - -409. Is k a multiple of 10?
True
Let o(z) = -287*z - 14. Suppose 0 = 3*h - 4*h, 5*n - 2*h + 20 = 0. Does 10 divide o(n)?
False
Let c(g) = g**3 + 16*g**2 + 26*g + 2. Let n = -204 + 190. Does 15 divide c(n)?
True
Is 76 a factor of -1 - ((-2)/10 - 4274544/380)?
True
Suppose 76*s - 80*s + 412 = 0. Let t = -65 + s. Is t a multiple of 18?
False
Let a be (5 + 99/(-15))/(2/(-5)). Suppose -7*o + a*o + 900 = 0. Suppose -h - 231 = -6*m + 2*m, 5*m = 5*h + o. Is m a multiple of 20?
False
Let c = -11642 + 15862. Is c a multiple of 32?
False
Let t = 11 + -3. Let h be (-14)/t*-1 - 1/(-4). Suppose -h*b - 4*g - g + 48 = 0, 5*b = g + 147. Is 4 a factor of b?
False
Is (75/12 - 0)*7128/27 a multiple of 150?
True
Let y(w) = 1170*w**2 - 11*w + 22. Does 90 divide y(2)?
True
Suppose 48*q - 292992 = -8*q. Is q a multiple of 16?
True
Let o(i) = 360*i + 312*i - 765*i + 23. Is 19 a factor of o(-2)?
True
Let u(l) be the third derivative of -2*l**4/3 - 10*l**3/3 - 54*l**2 - 1. Does 50 divide u(-20)?
True
Let n(s) = 95*s**2 + 1150*s - 57. Does 11 divide n(-17)?
False
Suppose -11*j + 130489 - 17431 = 0. Does 19 divide j?
False
Let i(a) = 7*a**2 - 85*a - 710. Is 5 a factor of i(-9)?
False
Let t(r) = 23 - 20*r + 10*r - 19*r - 21*r. Let g be t(-11). Let u = -395 + g. Does 26 divide u?
False
Let g(h) be the second derivative of 85*h**3/3 - 166*h. Is 30 a factor of g(6)?
True
Suppose -2*p - p - 5*q + 905 = 0, 606 = 2*p + 4*q. Suppose -8*d + p = -7*d. Does 23 divide -20 + d + 0 + 1 + 0?
True
Suppose 5*o - 1260 = -3*n, 4*n + 3*o - 465 = 1237. Is 30 a factor of n?
False
Let p(v) = -565*v + 2082. Is 38 a factor of p(-6)?
True
Let r = 3645 + -3631. Is 2 a factor of r?
True
Let v = 489 - 479. Suppose -6 = -z + 4*q, v = 2*z - 2*q - 8. Does 4 divide z?
False
Let s(f) = f. Suppose -30 = 4*k - 34. Let w(d) = 3. Let l(o) = k*w(o) - 4*s(o). Does 5 divide l(-10)?
False
Let v(m) = 10*m**3 - m**2 + m. Let o be (-2 - 24/(-10)) + (-16)/(-10). Let u be v(o). Let l = u - 38. Does 8 divide l?
True
Let g = 34948 + -3667. Is 71 a factor of g?
False
Let n(f) = -6*f + 60. Let x be n(-10). Does 5 divide (-8 + 14)*x/9?
True
Let l = 164 - 164. Suppose -8*p - 6*p + 1260 = l. Does 18 divide p?
True
Suppose -277 = 2*v + 3*n, 215*v - 3*n - 670 = 220*v. Let z be 394*(1/(-2) + 1). Let j = z + v. Does 26 divide j?
False
Let q = 270 + -268. Does 18 divide (-255 + -1 + 4)*(-3)/q?
True
Suppose 0*v - 196 = 2*v. Let c = -66 - v. Suppose 4*f + p - c = 229, -5*f + 5*p + 345 = 0. Is 22 a factor of f?
True
Let o = -6707 - -9502. Is o a multiple of 13?
True
Suppose 0 = l - 2*n - 3, -4*l + 12 = -n + 2*n. Suppose -5*g = -l*g + 6. Is g - (-4 - 11/1) a multiple of 4?
True
Let q be (-7)/((-7)/6) + -2. Let a be 0 + q/(-14) - 282/42. Let u(o) = -4*o + 8. Does 9 divide u(a)?
True
Let j(f) = f**2 - 4*f + 3. Let k be j(3). Suppose 5*r = -k*q + 2*q + 8, 5*q = -20. Suppose p + r*i - i = 172, -4*i = 3*p - 516. Does 43 divide p?
True
Suppose -80 = -31*g + 27*g. Is 13 a factor of (-4)/(-3)*15/g + 77?
True
Suppose 0 = 63*q - 182818 - 80963. Is q a multiple of 79?
True
Suppose 0 = -f, 79*w - 78*w + f - 291 = 0. Is 97 a factor of w?
True
Does 116 divide (-185600)/(-12)*3/2?
True
Let q be 1 + 2 - 164/41. Let | {
"pile_set_name": "DM Mathematics"
} |
097
Subtract 3 from -228520633211.
-228520633214
What is -236659403 + -2402?
-236661805
What is 4 less than -1662.7376041132?
-1666.7376041132
Subtract 54067853649 from 3955.
-54067849694
Subtract 19.964 from -1850954761.
-1850954780.964
What is -1.32182233 minus 3539345?
-3539346.32182233
What is the difference between -10222.77547 and 1.255?
10224.03047
Subtract 6865511.8 from 8818.
-6856693.8
Work out -467179565.48 - -0.05.
-467179565.43
What is -0.3 - -45205533.03679?
45205532.73679
What is 75 less than -3436925706187?
-3436925706262
Add together 0.1131134 and 1024.685139.
1024.7982524
What is the distance between 2297 and 370676061?
370673764
Sum -11.6002 and 26837400.
26837388.3998
What is the distance between 411.22409 and 4.458523?
406.765567
Calculate -409360005 - -30.
-409359975
Subtract 142580 from -55.790931.
-142635.790931
0.827613057+2040
2040.827613057
Total of -0.17 and 636747340940.
636747340939.83
Add together 85254.69 and -29439.
55815.69
Sum -8 and -1224073116728.
-1224073116736
What is -178504.282943 + -0.4?
-178504.682943
Add -429739517082495 and -0.5.
-429739517082495.5
What is -2225446492492 plus -0.0259?
-2225446492492.0259
What is 8.4 plus -7.186230612?
1.213769388
What is the difference between -24676218 and -394.944?
24675823.056
What is 371.29 - 16.89053433?
354.39946567
Total of -12835 and -1.4557257.
-12836.4557257
Work out -85488531307 - 0.2.
-85488531307.2
Add together -12392.6 and 2562.
-9830.6
Work out 39797243.861352 - 0.1.
39797243.761352
What is 2 take away -917041.53284?
917043.53284
What is -7298096 plus -4123039?
-11421135
Work out -8270637 + 0.0733173.
-8270636.9266827
What is 3.6 minus 13477614110?
-13477614106.4
-0.1701199+-199640
-199640.1701199
Add -2148125 and -43066.
-2191191
What is 1 less than -3654734877292?
-3654734877293
Work out -764603326 + 5.2.
-764603320.8
Put together 85867.66 and -0.166476.
85867.493524
What is the difference between -1203926843 and 4204?
1203931047
What is -0.2 less than -432733807.08846?
-432733806.88846
What is 0.32 plus -2.742138289?
-2.422138289
Calculate -17.3188784 - 75553.6.
-75570.9188784
Subtract 42.3416683389 from -202.
-244.3416683389
Subtract -28318342 from 2378.
28320720
What is 64651 + 139499496.8?
139564147.8
Work out -47116 - -18613255.
18566139
Sum 7228.6426 and 2289.14.
9517.7826
What is -2.5 - -0.8628300431458?
-1.6371699568542
13500501444 - 2830
13500498614
Put together -96 and -115.3262817202.
-211.3262817202
Put together 143134884813 and -0.3.
143134884812.7
What is 8038.77546 take away 0.2642?
8038.51126
Calculate 306275550.5 + 1.36393.
306275551.86393
Calculate 18339821 - -0.0281.
18339821.0281
What is 8478483.89094 less than 0.2?
-8478483.69094
What is the difference between -1187989064 and -0.160576?
1187989063.839424
Add together -4 and -193316784246.
-193316784250
Add 86.2603272025 and 0.01.
86.2703272025
What is -507637857069 - -12?
-507637857057
1210.7999126 + -0.596
1210.2039126
Calculate -155326.847842 + 3.
-155323.847842
What is the difference between -0.42850232525 and 9?
9.42850232525
Calculate -158924166242 + 4197.
-158924162045
Calculate -0.694 - 195385153792.
-195385153792.694
Add 1978800551.96 and 410.
1978800961.96
Put together -0.5 and -7868522436132.
-7868522436132.5
Calculate -822.099 + -66.33568.
-888.43468
What is -18264442224996 take away 0.4?
-18264442224996.4
Calculate -2139628795 - 1483.24.
-2139630278.24
What is -11461 less than 89218560?
89230021
What is -232789657 take away -0.09534?
-232789656.90466
Work out 8.8 - 49817.5562.
-49808.7562
-15076932 - -153.9
-15076778.1
Subtract 2392404 from 397800.
-1994604
What is 252676.2 - -0.00441?
252676.20441
0.3417+-1194771831
-1194771830.6583
What is -12379693235 minus 1.799?
-12379693236.799
Work out -3070 + -80453.037632.
-83523.037632
What is -111.001556 take away 0.24?
-111.241556
Calculate -2498103 - -16416.
-2481687
What is 9 minus 29923818779?
-29923818770
Add 3 and -4052895446497.
-4052895446494
Total of 674640.4069 and 11.4686.
674651.8755
What is 202463687715 take away 3?
202463687712
-154675497+-16.05
-154675513.05
What is -16256431604 plus -14953?
-16256446557
Calculate 397 + -1702255.6573.
-1701858.6573
What is 31 less than 3.38242988?
-27.61757012
What is 2 take away -5.259546934405?
7.259546934405
What is -418340630702 less than 0.5?
418340630702.5
What is the distance between -1388.95718 and -0.0426?
1388.91458
1998951846415 + -301
1998951846114
Put together 5 and -107051346090.
-107051346085
What is 1268314236344 take away -0.4?
1268314236344.4
Add together 2069250.2864545 and 0.4.
2069250.6864545
Work out 5943438601 - 0.07.
5943438600.93
Total of 3.19050364 and -28.427.
-25.23649636
188367050278+0.1
188367050278.1
-5.29642+-0.055044
-5.351464
Calculate 0.049 - 336280171232.
-336280171231.951
What is 6501326004 - -5772?
6501331776
What is the distance between 1.26 and -3086511.96?
3086513.22
Add 225.6675 and -14.716268.
210.951232
Add together -5 and 0.04769468645828.
-4.95230531354172
Put together 9.8 and -9225.158417.
-9215.358417
Total of 2173483581.8 and -2.0214.
2173483579.7786
Calculate -519362416577 + 0.205.
-519362416576.795
Put together 0.008 and 2958184.972.
2958184.98
What is -0.2 plus 6445979260280?
6445979260279.8
What is 0.3 + 1.61819121678405?
1.91819121678405
Total of -0.3 and 89627648.87.
89627648.57
What is -66162.163019 less than 4.3?
66166.463019
Total of 723375220004 and 5.
723375220009
What is the difference between 2.0149 and 18070610?
18070607.9851
What is the distance between 50 and -8049289674?
8049289724
What is -1176.92341 less than -501753?
-500576.07659
Total of 314.1 and 0.46600538077.
314.56600538077
Put together 19955959 and 7.
19955966
79888 - 107214.7259
-27326.7259
Calculate 0.0483 - -2.4244168.
2.4727168
Work out 5 + -56216177687536.
-56216177687531
-3938517.4 - 1.181
-3938518.581
-2959241 - -1118334
-1840907
What is the distance between 743236 and -60197591?
60940827
What is 0.99 minus 7.07646914671?
-6.08646914671
Calculate 177521.217 + -1.1536.
177520.0634
What is the difference between -291429058 and 24009?
291453067
What is 60881.33 - 82260804?
-82199922.67
Sum -0.076 and -1626071325.
-1626071325.076
-4 - -14982751837179
14982751837175
Add together -1891212139433.39 and -0.1.
-1891212139433.49
38.3156 - -27.744789
66.060389
What is the distance between 0.061944 and 21696215?
21696214.938056
What is the distance between -0.049 and -510663.184?
510663.135
What is -2 less than -135450697743.6?
-135450697741.6
Sum -1.1595209572 and -24816.
-24817.1595209572
Add together -16 and -0.67698650228.
-16.67698650228
What is 3.016241024301 plus -2?
1.016241024301
Calculate -36860944 - -0.657206.
-36860943.342794
Work out 17 - -0.03881999473.
17.03881999473
What is the distance between 3.109935 and 900057?
900053.890065
What is 0.1525 + 122510549?
122510549.1525
80.5185+-2.77572
77.74278
Sum -39492806888203 and 6.
-39492806888197
What is -8160683076 take away -3?
-8160683073
Put together 42 and 57892124721.
57892124763
What is -0.162841996 minus -347.73?
347.567158004
Work out -26.9787 + -0.000315.
-26.979015
Calculate -1288.9 - -23029286943.
23029285654.1
What is -33543 - 1934.4752?
-35477.4752
What is -0.5 less than 4.5755998251927?
5.0755998251927
What is -9780.87 take away 1093.559?
-10874.429
Calculate 5497651962047 + -0.2.
5497651962046.8
What is -2069208856 plus 12143?
-2069196713
-0.012+191211937.1
191211937.088
What is 31109 + 48465662?
48496771
What is -149.307538517 plus 116?
-33.307538517
What is the difference between 0.1 and -56603053895?
56603053895.1
Work out 4818 - 0.190855085.
4817.809144915
What is -1 minus 23426920195404?
-23426920195405
Total of -0.3 and 57656839516.
57656839515.7
What is -0.4 - -2987424475.56?
2987424475.16
What is -16400761.278 less than -0.13701?
16400761.14099
1232547 + -0.2344825
1232546.7655175
-1185.96911 - -0.0119
-1185.95721
Sum -13034.4 and -20001458.
-20014492.4
What is the difference between 51947232 and 8470.558?
51938761.442
What is the distance between 645011 and -1020403?
1665414
Calculate 673268147 - -85.
673268232
What is -83.37 + 58448293.9?
58448210.53
What is -3206016 less than 0.149327?
3206016.149327
Put together 43454 and 95403.422.
138857.422
Subtract 5 from -9198 | {
"pile_set_name": "DM Mathematics"
} |
+ 5*s
Collect the terms in -12 + 52*o**2 + 12 - 140*o**2 + 39*o**2 + 33*o**2.
-16*o**2
Collect the terms in -1423*z - 690*z + 479*z.
-1634*z
Collect the terms in -1817792*f**2 + 912557*f**2 + 905249*f**2.
14*f**2
Collect the terms in 424*o**2 - 927*o**2 + 493 + 303*o**2 + 0*o + 2*o - 493.
-200*o**2 + 2*o
Collect the terms in -20670*r + 10204*r + 485*r**2 + 10466*r.
485*r**2
Collect the terms in -462*r + 474*r - 235*r - 709*r - 410*r - 1033*r.
-2375*r
Collect the terms in -864*q**3 + 256*q**3 + 328*q**3 + 323*q**3.
43*q**3
Collect the terms in -46839*j**3 - 2888*j**3 - 904*j**3.
-50631*j**3
Collect the terms in z**2 - 106363*z**3 + z**2 - 2*z**2 - 97763*z**3.
-204126*z**3
Collect the terms in -2124*k**3 + 8562*k**3 - 6436*k**3.
2*k**3
Collect the terms in -463 - 940*j**3 - 479 + 4*j**2 + 942 - 4*j**2.
-940*j**3
Collect the terms in -1599*l**2 - 648257249 + 648257249.
-1599*l**2
Collect the terms in 81*u**3 - 10005 + 20045 - 10043 - 4*u**2.
81*u**3 - 4*u**2 - 3
Collect the terms in -1672*w**3 - w + 0*w - 19*w**2 - 19*w**2 + 40*w**2.
-1672*w**3 + 2*w**2 - w
Collect the terms in -36*f**3 + 18*f**3 - 537*f + 1599*f - 538*f + 19*f**3 - 524*f.
f**3
Collect the terms in 500724*p - 15 + 17 - 500706*p.
18*p + 2
Collect the terms in 672238 - 672238 + 40*x**2.
40*x**2
Collect the terms in -m**2 - m**2 - 133 + 134 + 11224*m.
-2*m**2 + 11224*m + 1
Collect the terms in -3533*j**2 - 1995*j**2 + 5551*j**2.
23*j**2
Collect the terms in 531*i**3 + 40216*i - 40216*i - 535*i**3 - 20.
-4*i**3 - 20
Collect the terms in 6713*j**2 - j - 3122*j**2 - 3279*j**2.
312*j**2 - j
Collect the terms in -11550*i**2 + 19*i - 11540*i**2 + 23081*i**2.
-9*i**2 + 19*i
Collect the terms in -1923*d**2 + 1923*d**2 + 1037*d**3 - 669*d**3 - 537*d**3.
-169*d**3
Collect the terms in 435*f + 30 - 11 + 665*f + 9.
1100*f + 28
Collect the terms in -29926*f**3 - 5510*f**3 - 14350*f**3 + 707*f**3.
-49079*f**3
Collect the terms in -803*d - 803*d - 4 - 810*d + 3726*d - 1308*d.
2*d - 4
Collect the terms in 11*f**3 + 35*f - 12*f**3 - 4*f**3 + 3*f**3 + 41*f - 16*f.
-2*f**3 + 60*f
Collect the terms in 4707*y - 14377*y + 4654*y + 4564*y.
-452*y
Collect the terms in -68949 + 34515 - j**3 + 34434.
-j**3
Collect the terms in 6*z**3 - 52954 - 5*z**3 - 52953 + 12*z**3 + 105907.
13*z**3
Collect the terms in -154027*v**2 - 52292*v**2 + 55618*v**2.
-150701*v**2
Collect the terms in 2111*z + 8030 - 8030.
2111*z
Collect the terms in -20550645*k + k**2 - 20550651*k + 41101296*k.
k**2
Collect the terms in 157921 - 157921 + 22417*a.
22417*a
Collect the terms in -12816*m + 18616*m - 28610*m - 34896*m.
-57706*m
Collect the terms in -467*i + 167*i + 300*i + 5328*i**3.
5328*i**3
Collect the terms in -267709*h + 74363*h - 181838*h - 5402*h.
-380586*h
Collect the terms in -4644*y**3 + 7*y + 9318*y**3 - 38 + 38 - 4664*y**3.
10*y**3 + 7*y
Collect the terms in 25859369412 - 25859369412 - 19*w**3.
-19*w**3
Collect the terms in -80 + 27152*y**2 - 27153*y**2 + 85.
-y**2 + 5
Collect the terms in 447 + 91 + 553*q - 12.
553*q + 526
Collect the terms in -471214*y**3 + 31036*y**2 - 471217*y**3 + 942426*y**3 - 31036*y**2.
-5*y**3
Collect the terms in 2 - x**2 + 40989*x**3 - 19*x**2 - 41010*x**3.
-21*x**3 - 20*x**2 + 2
Collect the terms in -24 + 31*x**3 + 49 - 26 + 1.
31*x**3
Collect the terms in -d + 5444353845813 - 5444353845813.
-d
Collect the terms in g - 231 - 171 + 2*g - 2*g + 43*g**2.
43*g**2 + g - 402
Collect the terms in 55 - 55 - 3914785*a.
-3914785*a
Collect the terms in 367081*u - 734172*u + 367105*u.
14*u
Collect the terms in 3 - 50*n - 6 - 1975*n**2 + 0 + 4.
-1975*n**2 - 50*n + 1
Collect the terms in -1 - 45*o - 32*o + 92*o.
15*o - 1
Collect the terms in 652 - 5*i**3 + 2815 - 3469.
-5*i**3 - 2
Collect the terms in 16*m**2 - 721*m + 569*m + 152*m - 12*m**2.
4*m**2
Collect the terms in -61 + 93*w**3 - 178*w**3 - 22 - w + 84*w + 86*w**3.
w**3 + 83*w - 83
Collect the terms in 2*j**2 - 71459691918943*j + 71459691918943*j.
2*j**2
Collect the terms in 6123*g**2 - 3080*g**2 - 3048*g**2 + 1 + 5.
-5*g**2 + 6
Collect the terms in 4*z - 176507 - 10*z + 1621251 + 4*z.
-2*z + 1444744
Collect the terms in -2961308*n + 2961308*n - 124*n**2.
-124*n**2
Collect the terms in -2 - 13145570*a + 26291146*a - 13145574*a.
2*a - 2
Collect the terms in -70407*t**3 + 3036*t - 1518*t - 1518*t.
-70407*t**3
Collect the terms in -967482*w**3 + 484929*w**3 + 485264*w**3.
2711*w**3
Collect the terms in 26281 + 25348*p - 26281.
25348*p
Collect the terms in 88*t + 7 - 74*t**2 + 238*t**2 - 78*t**2 - 78*t**2.
8*t**2 + 88*t + 7
Collect the terms in -43*k**3 - 42635003 - 47*k**3 + 0*k**2 + 42635003 + 0*k**2.
-90*k**3
Collect the terms in -6*k**2 - 2122*k**3 + 19*k**2 + 56*k - 13*k**2.
-2122*k**3 + 56*k
Collect the terms in -4083*r + 1812*r - 3026*r - 235*r.
-5532*r
Collect the terms in 293668*b**2 + 109895*b**2 + 927414*b**2 + 323287*b**2.
1654264*b**2
Collect the terms in 25249*w**2 - 25232*w**2 - 8 + 10.
17*w**2 + 2
Collect the terms in -81 + n + 48 + 34 + 22*n**3 - n - 62*n**3.
-40*n**3 + 1
Collect the terms in 367229*q**2 + 367235*q**2 - 734464*q**2 + 22*q**3.
22*q**3
Collect the terms in 363900*b - 182093*b - 182057*b.
-250*b
Collect the terms in -126*o**2 - 66*o - 1027 + 66*o + 1025 + 51*o**2.
-75*o**2 - 2
Collect the terms in -7*h + 15*h - 662*h**2 - 132*h**2 - 401*h**2 - 5*h.
-1195*h**2 + 3*h
Collect the terms in -930*x - 930*x + 369 + 1859*x.
-x + 369
Collect the terms in 407*i + 259*i - 1544*i + 214*i + 258*i.
-406*i
Collect the terms in -1036 + 462 + 289 + 285 - 69*d.
-69*d
Collect the terms in 442*g - 8822 + 4321 + 4501 - 446*g.
-4*g
Collect the terms in 68 - 210 + 70 + 73 + 22*g - 20*g.
2*g + 1
Collect the terms in 27615495894*w - 27615495894*w + 27*w**3.
27*w**3
Collect the terms in -1149*z + 6876*z - 1141*z - 1145*z - 1147*z - 1148*z - 1142*z.
4*z
Collect the terms in 175*r - 306*r + 90*r + 79*r.
38*r
Collect the terms in -133*q**3 + 15*q**3 - 213*q**3 + 3 - 26*q**3 + 31*q**3 - 125*q**3.
-451*q**3 + 3
Collect the terms in -3443*g - 1534 + 491*g + 1534.
-2952*g
Collect the terms in 2 - 3 - 120294*d + 120390*d.
96*d - 1
Collect the terms in -124*r**2 + 162 + 116 + 15*r**2 - 759*r**2 - 278.
-868*r**2
Collect the terms in -4493*s - 4497*s - 4488*s - 4498*s + 22494*s - 4502*s.
16*s
Collect the terms in -354*r - 352*r + 1083*r - 288*r - 25*r**3 - r**2.
-25*r**3 - r**2 + 89*r
Collect the terms in 28*p**3 - 29647*p + 59310*p - 29663*p.
28*p**3
Collect the terms in -5*k**3 + 4*k**3 + 2 + 471*k**2 - 5*k - 4 + 2259*k**2.
-k**3 + 2730*k**2 - 5*k - 2
Collect the terms in -93703*m - 7*m**2 + 188903*m - 95200*m.
-7*m**2
Collect the terms in 41 - 231*o**3 + 35 - 5*o**2 - 77 + 0*o**2.
-231*o**3 - 5*o**2 - 1
Collect the terms in 3481597 - 1740800 - 1740797 + 403*r**2.
403*r**2
Collect the terms in -4353*l**2 - 249920463 + 249920463.
-4353*l**2
Collect the terms in 0*o - 286643*o**2 + 30 + 0*o.
-286643*o**2 + 30
Collect the terms in -8883*a + 4*a**2 - 5*a**2 - 9 + 8885*a + 8 + 1.
-a**2 + 2*a
Collect the terms in -166172*c - 28561*c - 62633*c.
-257366*c
Collect the terms in 9*a - 102*a**3 - 323*a**3 + 7*a + 97*a**3.
-328*a**3 + 16*a
Collect the terms in 4558263 + 524*j - 4558263.
524*j
Collect the terms in -3163*c**3 - 3319*c**3 + 6727*c**3.
245*c**3
Collect the terms in 53872*m**2 - 19006*m**2 + 5388*m**2 + 40311*m**2.
80565*m**2
Collect the terms in 2098*s**3 + 12733*s - 12729*s - 2107*s**3.
-9*s**3 + 4*s
Collect the terms in -32876*l**3 - 2921*l**3 - 3318*l**3.
-39115*l**3
Collect the terms in -175*q**2 + 936*q**2 + 63*q**3 + 26 - 761*q**2 - 25.
63*q**3 + 1
Collect the terms in -1467*u**3 - 7925*u**3 + 1646*u**3 - 5509*u**3.
-13255*u**3
Collect the terms in -4*s**3 + 0*s**3 - 425*s**2 + 428*s**2 - 12*s**3 - 6*s**3 - 3*s**3.
-25*s**3 + 3*s**2
Collect the terms in 184518*q**3 + 1696714*q**3 + 272 - 272.
1881232*q**3
Collect the terms in -24973*n**2 + 2 + 14422*n + 49950*n**2 - 24978*n**2.
-n**2 + 14422*n + 2
Collect the terms in -3156*x**2 - 13712*x**2 - 22221*x**2 + 4660*x**2.
-34429*x**2
Collect the terms in -19*d - 7*d + 142*d - 96*d - 16*d.
4*d
Collect the terms in -321780 - 31890 - 6*t + 5*t.
-t - 353670
Collect the terms in -2 + 522*j + 531*j + 477*j - 1598*j - 1.
-68*j - 3
Collect the terms in -229*d + 7 - 8505*d**2 + 78*d + 72*d - 5 + 78*d.
-8505*d** | {
"pile_set_name": "DM Mathematics"
} |
c + 471*c - 58*c + 1476*c as g + k*c and give k.
2366
Express -11*w**2 + 24*w**2 + w - 3 - 19*w**2 + 8 as o*w + t + u*w**2 and give t.
5
Rearrange -5 - h + 4 - 5 - h to the form q*h + f and give q.
-2
Express (-1335*p + 1335*p + 127*p**3)*(2*p - 5*p - 2 + 9) in the form v*p**3 + m*p + j + b*p**4 + w*p**2 and give j.
0
Express (0*p + 6*p - 4*p)*(-p**2 - 86 + 86) + (-7 - 1 + 3)*(-1 + 1 + 2*p**3) as y + u*p**2 + r*p**3 + k*p and give y.
0
Rearrange 6*y + 15*y**2 - 4*y + 5*y**2 + 4 to the form z + v*y + j*y**2 and give j.
20
Express (-55*c + 189*c - 51*c)*(-2*c**2 - c**2 + c**2 + (-3*c - c + 2*c)*(-c - c + 4*c) + 2*c**2 - 2*c**2 + 2*c**2) as p*c**2 + x*c**3 + y + g*c and give x.
-332
Rearrange (-4 + 3 + 3)*(-2*v + 3*v - 3*v) + (-44 - 16*v + 44)*(-4 - 4 + 5) - 4*v + 2*v + 4*v to n*v + x and give n.
46
Rearrange -23 + 8 + 5*q**3 + q**4 - 5*q**2 + 12 to the form m*q + k*q**2 + w*q**3 + c + x*q**4 and give c.
-3
Express (11*u - 1 + 13 - 6)*(8*u + u + 25*u) in the form j*u**2 + b + z*u and give z.
204
Express 2*d**2 + 29*d**3 + 4*d - 1 - 27*d**3 - 9*d**4 + 11*d**4 in the form t*d**4 + f*d**3 + a*d + y + s*d**2 and give a.
4
Express 4 + 1463*l**2 - 3*l**3 + 6*l**4 - 1463*l**2 as n*l**2 + y + k*l**4 + z*l + q*l**3 and give q.
-3
Rearrange -13*x**3 + 6*x**3 + 5*x**2 - 5*x + 3*x + 4*x to the form w*x**2 + c*x + n + j*x**3 and give c.
2
Rearrange (-26*o**2 - 75*o**2 + 197*o**2)*(-65 - 32 - 10 - 69) to the form k + d*o**2 + q*o and give q.
0
Rearrange -2 - 3*h**2 + 4*h**2 - 182*h + 2 + 78*h to q + t*h + u*h**2 and give t.
-104
Express -108*z**4 + 3 - 1 + 4 + 127*z**4 + z**2 + 3 in the form s*z**3 + h*z**2 + v*z**4 + d + m*z and give d.
9
Express 306*j**3 + 21*j + 6*j - 29*j in the form k*j**3 + g*j**2 + n + w*j and give w.
-2
Express 143*d + 149*d + 4 - 27*d**3 - d**2 - 4 - 293*d in the form z + b*d**3 + a*d + y*d**2 and give b.
-27
Rearrange (5*x**2 + 0*x**2 - 3*x**2)*(4*x - x - 4*x) - 2038*x**3 + 6310*x**3 - 981*x**3 to the form q*x**3 + m + n*x**2 + g*x and give q.
3289
Rearrange -1702 - 83*h**4 + 1702 + h**4 + 3*h**4 - 3*h**4 + (-2 + 2 + 2*h**2)*(-2 - 2*h**2 + 2) to x + o*h**3 + t*h**4 + k*h**2 + b*h and give t.
-86
Rearrange -522*o + 958*o + 1046*o to the form z*o + c and give z.
1482
Express 99*w**2 - 3 - 74*w**2 + 2 - 61*w**2 - 107*w**2 as k + o*w + s*w**2 and give k.
-1
Rearrange 7*j**2 - 9 + 17*j - 17*j - j**2 to k + z*j**2 + n*j and give z.
6
Express 12*l**2 - 19*l**2 + 3*l**2 + l + 16*l**2 + 5*l in the form m*l + i*l**2 + p and give m.
6
Express (4 - 1 - 4)*(-2 + 5 + 5)*(-2*x + 8*x + 0*x + 5*x - 3*x - 3*x + (0*x + x - 3*x)*(3 - 3 + 1) - 2 + 2 - x) as a + p*x and give p.
-16
Rearrange (4 + 1 - 6)*(3 + 2 - 1 + 7)*(-k - 2*k + 9*k) to x*k + y and give x.
-66
Express (14*l**2 - 19*l**2 + 15*l**2)*(8*l**2 + 2*l - 2 - 7*l**2 + 0*l**2) as t*l**3 + j*l + a*l**2 + o*l**4 + f and give a.
-20
Express -3723 + 3723 + 54*o as x*o + w and give x.
54
Rearrange 0 - 15*g**2 - 1 + 8 - 26 - 6 to the form w*g + t + b*g**2 and give b.
-15
Rearrange 24 - 24 - 667*y - 12*y**2 + 13*y**2 to l + x*y + a*y**2 and give a.
1
Express -j - 3 - 2*j**4 - 4 - 491*j**3 + 11 - 4 as o*j**3 + w + h*j**2 + b*j**4 + u*j and give o.
-491
Express 56*o**3 + 101*o**3 + 2*o + 71*o**3 + 111*o**3 as l + k*o**3 + v*o**2 + t*o and give t.
2
Express (-8*a**3 - 85 + 85)*(0 - 2 + 4) + a**3 + 0*a + 0*a as h + i*a**2 + y*a**3 + c*a and give y.
-15
Rearrange (g - 1 + 1)*(0 + g + 0) + (-7 + 7 - 7*g)*(-3 + 0 + 0)*(-g - 2*g - 2*g) to u*g**2 + o*g + t and give t.
0
Express 755*c**2 - 753*c**2 + 7*c**3 + 3*c + c**3 as s + l*c**3 + t*c**2 + q*c and give q.
3
Express (3 + 3 - 2)*(-2 + 2 + 2)*(2*q - 24*q - 9*q)*(2 - 6 + 1) as j*q + x and give x.
0
Rearrange (-7 + 19 + 24)*(4 - 5 - 2)*(-4*z + z + 4*z)*(-3 - 4 + 2)*(-2 - 1 + 2) to m*z + c and give m.
-540
Express (-3*t - 15 + 15)*(1 + 3 - 3)*(4*t - t - 4*t)*(-6 - 4 + 0)*(13 - 13 + 17*t) in the form s*t + r + c*t**2 + x*t**3 and give x.
-510
Express 479*d**2 + d**3 + 5*d**4 - 23 - 475*d**2 - d**4 - 3*d**4 as a*d**4 + z*d**2 + h*d**3 + m*d + c and give h.
1
Rearrange (z + 4*z - 3*z)*(-12 + 13 - 44) + 0 + 2*z + 0 + (-2 - 1 + 1)*(-z + z + 2*z) + 0 + 0 + z - z + 0*z + 2*z to the form y + f*z and give f.
-86
Rearrange -264*p**3 + p**4 + 0*p**2 - 379*p + 266*p**3 + 2*p**2 to the form i + u*p**3 + o*p**4 + s*p + a*p**2 and give o.
1
Rearrange -3 - 27*y - 2 + 59*y - 30*y to r*y + n and give r.
2
Express -69*n**4 - 66*n**4 - n**2 - n**3 + 111*n**4 as x*n + h + t*n**2 + d*n**4 + y*n**3 and give d.
-24
Express (-1008*q - 325*q - 113*q + 68*q)*(2*q**2 + q**2 - 4*q**2) in the form a*q**3 + k*q**2 + o + r*q and give a.
1378
Rearrange -2*s**2 - 18*s - s**2 + 14*s to b*s**2 + d + q*s and give q.
-4
Express 463*w**3 - 4 + 364*w**3 - 617*w**3 in the form t*w**3 + l + m*w**2 + d*w and give l.
-4
Rearrange (1 - 2*c**3 - 1)*(5 - 3 + 1) + 56 + 9*c**3 - 56 to a + z*c**3 + t*c + k*c**2 and give z.
3
Express (13 - 13 - 8*w)*(-13*w - 52*w + 19*w) as x + j*w + q*w**2 and give q.
368
Rearrange -9237*q + 9237*q - 1210*q**3 + (-3*q + 0*q + q)*(5*q - 5*q + q**2) to a*q**3 + m + i*q + c*q**2 and give a.
-1212
Express -8*g - 14 - 7*g + 22*g as s + h*g and give s.
-14
Rearrange -82*s**2 + 0*s - 9*s + 9*s to c*s + p*s**2 + f and give p.
-82
Rearrange 27*c**4 + 25*c**4 - 49*c**4 - 3*c - 2*c**2 + c**2 to l + h*c + i*c**3 + j*c**2 + q*c**4 and give h.
-3
Rearrange (-1 - 1 - 2)*(4910 - 4910 - 808*h**2) to j*h + s*h**2 + q and give s.
3232
Express -142*d + 25*d - 129*d + 15*d - 280*d as i + q*d and give q.
-511
Express -f**4 + 6*f**4 - f**4 - 53*f**4 + 31*f**3 - 31*f**3 + (-1 + 2*f + 1)*(1 - 1 - f**3) as r*f + l + o*f**4 + g*f**3 + q*f**2 and give o.
-51
Express 17*f**3 + 0 + 61*f - 16*f**3 - 2 + 60*f as r*f + y*f**3 + j + t*f**2 and give r.
121
Rearrange 0*c**2 - c**4 + 0*c**2 + (-32 + 49*c + 32)*(7*c - 4*c + 0*c + 2*c**2 + c**3) to the form t*c**2 + i*c**3 + k*c + s*c**4 + r and give i.
98
Express 7637*l - 7637*l + 1951*l**2 as n + b*l + a*l**2 and give a.
1951
Express (0*s + 2*s + 2*s)*(2 - 1 - 2)*(2 - 4 + 4)*(46*s + 174 - 174) as c*s**2 + v*s + o and give c.
-368
Rearrange 51 + 4*u - 5*u + 4*u to g + t*u and give t.
3
Express (-2 + 0 + 4)*(-8*y**2 - 3*y**3 + 6*y**2 + 4*y**3) - 10*y**2 + 10*y**2 + 6*y**3 as l*y**2 + j*y + w + n*y**3 and give l.
-4
Express -5*b**2 + 5*b**2 - 2*b - b**2 + (-4 + 2*b + 4)*(90 - 90 + 25*b) as u*b + l + i*b**2 and give i.
49
Express -3644 - 744*a + 3644 - 3*a in the form i*a + w and give i.
-747
Rearrange -13*p**2 + 66*p**2 - 134*p**2 + (0*p + 3*p - p)*(0 - 2*p + 0) + 0*p**2 + p**2 + 0*p**2 to the form o + b*p + v*p**2 and give v.
-84
Express -2*i - 3 + 3 + (-27*i - 10*i + 17*i)*(-1 - 1 + 1) + 3*i + 2*i + 0*i as v*i + s and give v.
23
Rearrange 213*x + 92 - 92 + 1166*x to q*x + r and give q.
1379
Express (-y**3 - 3*y**3 + 2*y**3)*(1 + 0 - 2) - y**3 - 2 + 2 + (-6*y + y**3 + 6*y)*(0 - 1 - 2) as v + k*y**3 + t*y**2 + n*y and give k.
-2
Express -2*y**4 + 16*y**2 + 17*y**2 - 24*y**2 - 3 - 2*y - 2*y**3 + y**4 in the form r*y + c*y**2 + b*y**3 + m + n*y**4 and give n.
-1
Rearrange 5 - 3*a - 7 + 25*a**2 + 0 - 15*a**2 to the form u + i*a**2 + d*a and give u.
-2
Rearrange 2*i**3 - 21*i**2 - 2 - 435*i + 434*i - 1 to the form f*i**3 + y + t*i + o*i**2 and give o.
-21
Rearrange 4592*t - 2290*t + 2*t**2 + 33*t**4 + 5*t**3 + 2 - 2300*t to the form j + l*t**3 + q*t**4 + b*t + n*t**2 and give l.
5
Express -5*f**3 + 6*f**2 - 1447 + 0*f**2 - 4*f**4 + 1445 as q + z*f**2 + r*f**4 + n*f + x*f**3 and give x.
-5
Express -535*y**2 + 944*y**2 - 480*y**2 as j + n*y**2 + k*y and give n.
-71
Rearrange (7 - 9 + 1 + (7 - 2 - 3)*(0 + 4 - 3))*(2*s**3 - s**3 + 3*s + 2*s) to the form m + t*s + b*s**2 + l*s**3 and give l.
1
Rearrange ((1 + 3 - 3)*(j + 3*j - 3*j) + 42*j - 11*j - 2*j)*(-3 + 0 + 4) to a*j + w and give a.
30
Express 2367*q**2 + 0*q - 802 - 2365*q**2 + 0*q in the form m + d*q**2 + k*q and give m.
-802
Rearrange (34*a + 27*a + 228*a)*(-1 + 2 + 0) to the form i + u*a and give u.
289
Rearrange -433*z - 348*z + 5*z**2 - 6*z**2 to the form o*z + u + q*z**2 and give o.
-781
Rearrange r**2 + r**2 + r**2 + (-r + 0 + 0)*(2*r - 2*r - r) + (3 + 4 + 2)*(-r**2 + 2*r**2 + 0*r**2) to u + y*r + g*r**2 and give g.
13
Express (-3 - 2 + 3)*(-2*j + 0*j + j) - 3*j - 2*j + 4*j + (-1 + 1 - 2)*(-6*j + j - 5*j) + j | {
"pile_set_name": "DM Mathematics"
} |
e the smallest common multiple of 121 and o(15).
605
Suppose -r - 194 = -4*v + 865, 3*r = 5*v - 3149. Let t = r - -1077. What is the smallest common multiple of t and 51?
102
Suppose -2*w = p - 83, 33 = 3*w - 4*p - 97. Let k = 713 + -635. What is the smallest common multiple of w and k?
546
Let k = 5486 + -87735/16. Suppose q + 339 = 4*a, -2*q - 5*a + 63 = 780. Find the common denominator of k and 78/q - (-43)/72.
16
Suppose 5*n - 484 = -4*h, 1138*n = 1134*n - 2*h + 386. What is the lowest common multiple of n and 1760?
5280
Suppose 0*p + 53 = -3*p - q, -4*p - 89 = 5*q. What is the common denominator of 4/22*284/p and (-4)/(-474)*210/(-40)?
1738
Calculate the common denominator of (-8)/3 - (-55637)/21525 and 141/350.
1050
Let k be (-2)/(-3*(-4)/6). Find the common denominator of (k/((-5)/(-2)))/((-48)/(-140)) and 149/66.
66
Let p(c) = c**3 + 3*c**2 - 2*c + 5. Let y be p(5). What is the common denominator of y/(-6) - 2/1 and -2 - 170/(-24)*-1 - 330/1980?
4
Let a = 609 - 597. Calculate the common denominator of -77/142 and ((-285)/(-27) + 3)*a/8.
426
Suppose -5*k + 3603 = d, 3*k + 137*d - 2157 = 138*d. Calculate the least common multiple of k and 260.
9360
Let z = -39 - 491. Find the common denominator of (-3 - z/15)*(-9)/84 and -41/28.
28
Let d be (-3)/6*(-2 + -412). Suppose 6*v = d + 753. Calculate the least common multiple of 7 and v.
1120
Suppose -81*s - 17*s + 2352 = 0. Suppose 0 = 6*y - y - 240. What is the least common multiple of y and s?
48
Find the common denominator of 1/1410 and 60/150*5/(-6) - 274/420.
9870
Let f(k) = 2*k + 8. Suppose 0 = 2*n + n - 12. Let z(u) = u + 9. Let m(l) = n*f(l) - 5*z(l). What is the least common multiple of m(8) and 11?
11
Let n = 5536222129/700 + -7908891. Let r = n - 1/175. Calculate the common denominator of r and -121/18.
36
Let x = -8 - 1. Let r = -4 - x. Suppose r*q = -65 + 120. What is the lowest common multiple of 1 and q?
11
Suppose -3*s + 4*o = -704, -68 = -s + 3*o + 160. Suppose -s = -22*p + 6*p. Calculate the lowest common multiple of 30 and p.
30
Let q be (-5131)/(-98) + 13 - (1 + 1). Let u be 765/35 + 1 + 0. Let s = u - q. Calculate the common denominator of -5/8 and s.
8
Suppose 3*y - 2 = 7. Suppose y*z = -0*z + 18. Suppose -5*d = -102 - 298. Calculate the least common multiple of z and d.
240
Let d be (-15678)/(-938) + (-2)/(-7). Suppose -3*b = -2*v + 4, 5*b - 5 = -2*v - 1. Suppose -65 = -v*m - d. Calculate the smallest common multiple of 3 and m.
24
Suppose -3*o - 624 = 4*g - 3*g, -5*o - 1044 = 3*g. Let s = 350 + o. What is the lowest common multiple of s and 130?
1430
Let w = 209 - 207. Find the common denominator of -121/340 and (1736/128 - 3) + (-3 - w).
1360
Calculate the smallest common multiple of (-5 + 0)*230/(-25) and 161.
322
Suppose 31*v - 360 = 26*v. Let d be 1217734/v + 4/(-16). Let z = d + -16917. Find the common denominator of z and -83/40.
360
Let y(q) = q**3 - 13*q**2 - 33*q + 25. Let n be y(15). Suppose 110 = -p + 6*p. Let s = p + n. Calculate the least common multiple of 16 and s.
16
What is the smallest common multiple of 124/(-155) - (51633/(-35) - (-87)/203) and 2?
1474
Let m = -30 - -34. What is the common denominator of (86/m)/(77/(-14)) and (6/(-5))/((-165)/(-50))?
11
Let f be ((-4606)/235)/(4/(-1370)). Let w be (-885470)/(-132) + (-4)/(-6). Let a = w - f. Calculate the common denominator of a and -25/11.
22
Suppose -4*s - 5 = -2*t - 19, 3*t + 2*s = 35. Calculate the least common multiple of 5111 and t.
35777
Let v be (8/(-14))/(4/(-350)). Suppose -49*w + v*w - 12 = 0. What is the lowest common multiple of 138 and w?
276
Let n = 15 - 35. Let i(y) = -16*y + 2. Calculate the lowest common multiple of i(n) and 20.
3220
Let f = -35195 - -5701591/162. Calculate the common denominator of f and 89/108.
324
Let h be (86/56 - 6/21)*-8. Let z be 40/h*4/22. Let n = z - -513/55. Find the common denominator of n and -71/28.
140
Let o = -522331/68 + 7680. Find the common denominator of o and 18/(-16)*(-23)/(621/(-153)).
136
Let s = -4360 + 6862. Let g = 55059/22 - s. Find the common denominator of g and -12 - ((-156)/2028 - (-32590)/(-2548)).
1078
Suppose -3*t + 4*f - 91 = -119, 4*t + 3*f - 29 = 0. Calculate the smallest common multiple of t and 374.
1496
Let b be (-2)/(-5) - 2793/15. Let n = -41071/220 - b. Let v = -360211/22 + 16377. Find the common denominator of v and n.
44
Let q(c) = 2*c**2 + 3*c + 9. Let u(l) = -2*l**2 - 11*l + 11. Let m be u(-8). Let f = -32 - m. Calculate the least common multiple of 4 and q(f).
36
Let j = 135 - 117. Calculate the lowest common multiple of 30 and 2*((-20007)/j)/(-13).
1710
Let t(d) = -24*d**3 + 4*d**2 + 3*d - 2. Let v be t(-2). Let x = v - 170. What is the least common multiple of 6 and x?
30
Let k be (0/(-2))/(-13 - -15). Calculate the common denominator of -119/12 and (179/76)/1 + -3 + k.
228
Let d(q) = 2*q - 4. Let g be d(7). Let i = 28 + g. Let k(f) = -4*f - 12. What is the lowest common multiple of i and k(-6)?
228
Suppose f - 2*k - 168 = 0, -152 = -f - 9*k + 7*k. Calculate the common denominator of 7/(-18)*(-4560)/f and -7/30.
60
Let c(n) = -n**2 - 31*n + 78. Let o be c(-30). Find the common denominator of -89/152 and (-214)/24 + 81/o.
456
Let y = 3465341/70 - 49503. Find the common denominator of ((-7)/(-294)*1)/(6/26) and y.
630
Let l be ((-1130)/7)/(-5) - (-4)/(-14). Suppose -5*p = l + 148. What is the common denominator of (-27)/p - 17/6 and -101/2?
12
Let w = 41 - 49. What is the lowest common multiple of (-228)/(-9) - (w/(-6) + -2) and 16?
208
Let x(m) = m**3 - 4*m**2 - 5*m + 10. Let k be x(5). Let u(j) = 44*j - 22*j - k - 20*j. What is the lowest common multiple of 11 and u(8)?
66
Let m(y) = 7*y**2 + 9*y - 13. Let s be m(2). Let n(a) = a**2 - 35*a + 78. Calculate the smallest common multiple of n(s) and 147.
588
Suppose -3*s - 5 = -6*s - 2*x, -s + 5 = 4*x. Find the common denominator of -115/28 and s/(20/85*-1).
28
Let j = -1695/2 + 25447/30. Calculate the common denominator of -17/645 and j.
645
Suppose -13*w = -7*w + 106128. Let i = 1025805/58 + w. What is the common denominator of i and -42/11?
638
Find the common denominator of -129*(-15)/1134 + 40/180 and -109/2288.
16016
Let v be 6/(-3) + 359/44. Let j = v - 21/4. What is the common denominator of j and 152030/(-5288)*(-1)/((-6)/(-4))?
66
Calculate the common denominator of (-11883)/(-13860) - (-156)/(-286) and -169/714.
7140
What is the common denominator of 77/102 and (1/51)/((-54)/(-72) + 82/(-24))?
408
Let d = 9741/5 - 14251078/7315. Let f = d - -40753/2926. Let h = f - 1937/126. Calculate the common denominator of 65/12 and h.
36
Let u be (12/(-1))/3*(-433 - 0). Let k = 41587/24 - u. Let w = -146/19 - -4661/342. Calculate the common denominator of k and w.
72
What is the least common multiple of 7773 and 143/29 + (-30)/(-435) + 1 + 4?
77730
Let o(r) = 8*r. Let w be o(0). Suppose w = -4*j - b + 101 + 8, 0 = -5*j - 2*b + 137. Calculate the least common multiple of j and 6.
54
Suppose -5*g - 25 = 0, -3*u - u = -2*g - 94. Suppose -84 = 17*o - u*o. Let m = o + -15. Calculate the least common multiple of 3 and m.
6
Let d(q) be the first derivative of q**3/3 + 4*q**2 + 14*q - 8. Find the common denominator of (131/4 - -7)/(66/(-4)) and d(-10).
22
Suppose -8*o = -29*o + 10080. Suppose 31*k = 43*k - o. What is the smallest common multiple of k and 100?
200
Let n be (-216)/3*2/(-4). Let o be (6/2 - 2)*((-17 - 10) + 26). What is the common denominator of 61/33 and (-4)/n*(3 + o - -42)?
99
Find the common denominator of 75/90 - ((-1000)/1086 - -2) and 27/10.
1810
Let p(a) = -4*a + 27. Let j be p(6). Suppose 5*u - j*v = 4*u + 133, u + 5*v - 173 = 0. What is the least common multiple of 11 and u?
1628
Let k = 251 + -254. Calculate the least common multiple of 4 - (1 + 2) - (k + -1) and 8.
40
Let l be ((-32)/20)/(3 + (-58)/20). Let c(j) = -j**3 - 16*j**2 - 2*j - 22. Calculate the least common multiple of c(l) and 52.
260
Let z(b) = -201 + 111 - 23*b - b**2 + 144. Calculate the smallest common multiple of 60 and z(-25).
60
Let y = -1 + -2. Suppose 0 = 3*i - 3, -2*o - 40 = -2*i - 42. Calculate the lowest common multiple of y/6 - 42/(-4) and o.
10
Let g(o) = -451*o - 511. Calculate the least common multiple of g(-41) and 14.
125860
Calculate the lowest common multiple of -15 - | {
"pile_set_name": "DM Mathematics"
} |
-6*d**3 - 119. Let q(b) = -4*b**3 - 79. Calculate 5*l(j) - 7*q(j).
-2*j**3 - 42
Let r(i) = 5*i**3 - 5*i**2 - 21*i + 11. Let s(l) = l**3 - l**2 - 4*l + 2. Give -2*r(t) + 11*s(t).
t**3 - t**2 - 2*t
Let i(f) = -3*f**2 + 11*f + 21. Let y(h) = 2*h**2 - 6*h - 11. Determine -6*i(l) - 11*y(l).
-4*l**2 - 5
Let b(x) = -5*x + 8. Let o(l) = l - 1. Calculate 5*b(q) + 40*o(q).
15*q
Let w(q) = -3*q + 35. Let y(l) = -2*l + 35. Give -3*w(o) + 4*y(o).
o + 35
Let q(z) be the first derivative of 5/4*z**4 + 1/2*z**2 - 5/3*z**3 + 6*z - 1. Let i(k) = -9*k**3 + 9*k**2 - 2*k - 11. Determine -6*i(h) - 11*q(h).
-h**3 + h**2 + h
Let b(o) = -10*o**2 - 10. Let i be (-36)/8*(-2)/(-3). Let l(v) = -2*v**2 - 2. What is i*b(c) + 14*l(c)?
2*c**2 + 2
Let a(q) = -75*q - 11. Let x(r) = -15*r - 2. Calculate 4*a(m) - 22*x(m).
30*m
Let f(c) be the second derivative of 7*c**4/6 - 11*c**3/6 - c**2 - c. Let j be (2 - -10)/(-4) - 1 - 1. Let h(p) = -9*p**2 + 7*p + 1. What is j*f(a) - 8*h(a)?
2*a**2 - a + 2
Let h be 6/(-18) - 14/(-6). Let b(c) = 5*c**3 + 9*c**2 - 13*c - 1. Let r(i) = i**3 + 2*i**2 - 3*i. Determine h*b(n) - 9*r(n).
n**3 + n - 2
Suppose 5*t + 33 = 3*o, 2*t + 2*o = -o - 9. Let i(p) = 4 - 10 + 2 + 5. Let l(a) = 2*a**2 + 6. Calculate t*i(v) + l(v).
2*v**2
Let m(o) = -3*o**2 + 4*o - 4. Let v(x) = 9*x**2 - 13*x + 12. Calculate 7*m(u) + 2*v(u).
-3*u**2 + 2*u - 4
Suppose -3*i = 4*s + 34, 0*s - 42 = 5*i + 3*s. Let j(y) = 1 - 1 + 1. Suppose 0 = -r - 3*r + 4. Let b(k) = 2*k**3 + 2*k**2 + 4. Give i*j(f) + r*b(f).
2*f**3 + 2*f**2 - 2
Let u(f) = -5*f**2 + 3*f. Let y(k) = -k + 1. Let g be y(4). Let n(j) = -j**2 + j. Suppose 5*b - m + 0 = 1, 4*m = -3*b + 19. Give b*u(d) + g*n(d).
-2*d**2
Let h(v) = -29*v - 4. Let k(t) = 59*t + 9. Give 7*h(p) + 3*k(p).
-26*p - 1
Let i(g) = -9*g**3 + 3*g**2 - 5. Let l(c) be the first derivative of -5*c**4/4 + 2*c**3/3 - 3*c + 1. What is 3*i(o) - 5*l(o)?
-2*o**3 - o**2
Let z(l) = -5*l**2 + 5*l - 26. Let q(s) = -s**2 + s - 5. What is -11*q(i) + 2*z(i)?
i**2 - i + 3
Let n(s) = -s**2 + 2*s + 2. Let k(v) = 2*v - 2*v - v + 2*v. Calculate 2*k(i) - n(i).
i**2 - 2
Let y(k) = -2*k**2 + k + 1. Suppose 5*f - 36 - 89 = 0. Suppose -3*a - f = -8*a. Suppose 0*c + a*c + 10 = 0. Let j(d) = d**2 - d - 1. Determine c*j(t) - 2*y(t).
2*t**2
Let h(j) = 14*j**2 - 2*j - 2. Let b(g) = -15*g**2 + 3*g + 3. Determine 2*b(l) + 3*h(l).
12*l**2
Let p(h) = 22*h**2 + 18. Let b(t) = t**2 + 1. Let a(k) = -12*b(k) + p(k). Let i(m) = -m**2 - 1. Give -a(q) - 6*i(q).
-4*q**2
Let i(t) = 2*t + 2. Let h(f) = -f. Let o(c) = h(c) + i(c). Let y(m) = m - 1. Let k be (-15)/6*(-10)/25. Give k*o(j) + 2*y(j).
3*j
Let m(n) = -n**2. Let s be m(1). Let t(k) = -k. Let v(y) = -2*y**2 - 4*y. Calculate s*v(l) + 5*t(l).
2*l**2 - l
Let y(v) = 4*v**3 - 4. Let p be -1 + -4 + 6 - 4. Let i(s) = -9*s**3 + 9. What is p*i(d) - 7*y(d)?
-d**3 + 1
Let n = 3 + -2. Let u(x) = -1. Let a(o) = -o + 1. Let p(j) = 2*j - 5. Let l(s) = -4*a(s) - p(s). Calculate n*l(t) + 2*u(t).
2*t - 1
Let r(v) = -v - 1. Let g(h) = 6*h + 4. Let q(i) = -i**2 - i. Let c(u) = -g(u) - 4*q(u). What is -c(s) + 4*r(s)?
-4*s**2 - 2*s
Let b(w) = -5*w**2 + 9. Let c(d) be the third derivative of d**5/30 - 2*d**3/3 - d**2. What is -4*b(v) - 9*c(v)?
2*v**2
Let d(y) = y**2 + y + 1. Let k(j) = j. Determine -2*d(c) + 4*k(c).
-2*c**2 + 2*c - 2
Let y(f) = f**3 + 2. Let i(u) = -u**3 - u - 3. Let r be (-59 - 1)*(-5)/15. Let a be (-4)/20 - (-44)/r. Calculate a*i(w) + 3*y(w).
w**3 - 2*w
Let o(b) = -21*b + 6. Let v(t) = -64*t + 17. Give -17*o(i) + 6*v(i).
-27*i
Let q(h) = h - 3. Let t(s) = -2*s + 7. Calculate 5*q(m) + 2*t(m).
m - 1
Let j(y) = 11*y + 1. Let z(c) = -56*c - 4. What is 14*j(k) + 3*z(k)?
-14*k + 2
Let q(m) be the first derivative of -2 - 7*m + m**2 + 1/3*m**3. Let g(v) = -1. Determine 5*g(t) - q(t).
-t**2 - 2*t + 2
Let q = -77 + 55. Let k = 4 + q. Let x(y) = 3*y**3 + 3*y - 2. Let s(b) = -13*b**3 - 13*b + 9. Determine k*x(i) - 4*s(i).
-2*i**3 - 2*i
Let p(m) = 4*m**3 + 2. Let s(j) = j**3. Determine -p(l) + 3*s(l).
-l**3 - 2
Let w(l) be the third derivative of 7*l**6/120 - l**5/60 - 2*l**3/3 - 3*l**2. Let z(y) = -20*y**3 + 3*y**2 + 11. Calculate 17*w(t) + 6*z(t).
-t**3 + t**2 - 2
Suppose -g = 22 - 17. Let u(w) = -w**3 - 4*w + 3. Let c(p) = 2*p - 1. Give g*c(k) - 2*u(k).
2*k**3 - 2*k - 1
Let u(k) = 9*k**2 + 5*k + 5. Let b(c) = -4*c**2 - 2*c - 2. What is -5*b(t) - 2*u(t)?
2*t**2
Let o be 1/(2*(-1)/10). Let l(v) = 3*v**2 - 3*v - 3. Let y(t) = -t - 1 - t**2 + 2*t**2 + 0*t. What is o*y(m) + 2*l(m)?
m**2 - m - 1
Let i(s) = -s**2 - s + 1. Let h(f) = -8*f**2 - 5*f + 5. Let o(p) = -17*p**2 - 11*p + 10. Let c(k) = -5*h(k) + 2*o(k). What is c(v) + 4*i(v)?
2*v**2 - v - 1
Let y(q) be the first derivative of -q**4/4 + 2*q**3 - 2*q**2 - 4*q + 7. Let u(r) = 2*r**3 - 13*r**2 + 9*r + 9. What is 4*u(p) + 9*y(p)?
-p**3 + 2*p**2
Let p(j) = -5*j**3 + 8*j**2 - 10*j - 6. Let o(d) = -6*d**3 + 9*d**2 - 10*d - 7. Determine -6*o(x) + 7*p(x).
x**3 + 2*x**2 - 10*x
Let u(m) = -63*m**2 - 5*m - 5. Let h(b) = -32*b**2 - 2*b - 2. What is -5*h(x) + 2*u(x)?
34*x**2
Let g(f) = f**2 - 2*f. Let h(r) = r + 1. Let w be h(-3). Let c = w + 0. Let u(y) = -2*y**2 + 4*y + 1. Determine c*u(d) - 5*g(d).
-d**2 + 2*d - 2
Let g be (4/(-6))/(2/3). Let v = 6 + -5. Let p(i) = -v + 2 + 6*i + 5 + i. Let r(y) = -y - 1. Determine g*p(n) - 5*r(n).
-2*n - 1
Let g(x) = 2*x**2 - 2*x - 3. Let m(c) = -c**2 + c + 2. Suppose f + 5*l + 19 = -f, -f = l + 8. Determine f*m(d) - 4*g(d).
-d**2 + d - 2
Let k(d) = 1. Let h(w) = -w**2 + 2*w + 2. Give -h(c) + 2*k(c).
c**2 - 2*c
Let c(y) = 9*y. Let i(q) = 5*q. Give -4*c(t) + 9*i(t).
9*t
Let w(t) = -t**2 + t + 1. Let u be w(1). Let s be u + 0 + -1 + -2. Let m(x) = 2*x**2 + 2. Let o(g) = -g**3 + g**2 + 1. Give s*o(n) + 2*m(n).
2*n**3 + 2*n**2 + 2
Let n(g) = g**2 - 2*g - 7. Let x(j) = j**2 - 2*j - 7. Give -5*n(v) + 4*x(v).
-v**2 + 2*v + 7
Let l(o) = o**2 + 3*o**3 - 29*o + 20*o + 7*o. Let g be -1*(0 - 1 - 1). Let v(q) = -7*q**3 - 2*q**2 + 4*q. Give g*v(i) + 5*l(i).
i**3 + i**2 - 2*i
Let n(f) = f + 1. Let y(s) = -2 + s**2 + s + 2*s**2 - 2*s + 1. Give -n(z) - y(z).
-3*z**2
Let n(m) = m + 5. Let t = -25 - -36. Let u(j) = 2*j + 9. Give t*n(y) - 6*u(y).
-y + 1
Let j = 6 + -6. Suppose -5*o - 3*a + 3 = j, 3*a + 4 = 2*a. Let w(s) = 0*s + 2*s - o*s - 2. Let g(p) = -4*p - 9. Determine -4*g(n) + 18*w(n).
-2*n
Suppose -5*k - 76 = -k. Let b = 26 + k. Let q(j) = 6*j**3 + 3*j. Let g(s) = 13*s**3 + 7*s. What is b*q(v) - 3*g(v)?
3*v**3
Let n(v) = 6*v**3 - 4*v. Let f(d) = 7*d**3 - 5*d. Let j = -7 + 12. Let t = -7 - -5. Let i be 12/t + j + -4. What is i*n(l) + 4*f(l)?
-2*l**3
Suppose d = -l - 11, 3*l = -2*l + 4*d - 10. Let a(k) = -5*k + 6. Let p(c) = -c + 1. What is l*p(m) + a(m)?
m
Suppose -2*s - 9 = 9. Let v(p) = 2*p**3 - 4*p - 4*p**2 + 2 + 2*p**2 + 2*p**2 - 3*p**2. Let d(r) = -4*r**3 + 7*r**2 + 9*r - 5. Determine s*v(a) - 4*d(a).
-2*a**3 - a**2 + 2
Let j(v) = -5*v + 1. Let t(f) = -10*f - 6*f + 20*f. Let p = 0 - 2. Determine p*j(o) - 3*t(o).
-2*o - 2
Let m(y) = -y**2 - 3*y - 5. Let v be m(0). Let x(i) = 6*i**2 - 3. Let n(c) be the third derivative of -11*c**5/60 + 5*c**3/6 + 2*c**2. What is v*x(l) - 3*n(l)?
3*l**2
Let n(g) = -9*g**3 - 34*g**2 + 11*g. Let p(r) = 5*r**3 + 17*r**2 - 6*r. Give -6*n(x) - 11*p(x).
-x**3 + 17*x**2
Let z(s) = 7*s - 4. Let r(l) = -6*l + 3. Suppose 4*m = -5*c + 23, c + 9 = 6*c - 3*m. Calculate c*z(g) + 4*r(g).
-3*g
Suppose 9*m = -73 + 28. Let s(a) = 2*a + 6. Let d(j) = j + 5. What is m*s(c) + 6*d(c)?
-4*c
Let z(a) = 11*a**2 - 10*a - 3. Let w(o) = 9*o**2 - 9*o - 3. Determine 6*w(u) - 5*z(u).
-u**2 - 4*u - 3
Let t(m) = -6 + 11 - 1 + 5*m - 4*m**2 - 7. Let a(d) = -d**2 + d - 1. Determine -3*a(q) + t(q).
-q**2 + 2*q
Let m(o) = 14*o - 20. Let q(s) = 57*s - 5 - 52*s - 2. Calculate -6*m(p) + 17*q(p).
p + 1
Let j(c) = -10*c**2 - 4*c + 4. Let y(l) be the first derivative of -11*l**3/3 - 5*l**2/2 + 5*l + 11. Calculate -5*j(h) + 4*y(h).
6*h**2
Let x = 1 + -2. Let o be (1/2)/(x/(-8)). Let n(j) = 14*j + 8. Let u(g) = -5*g - 3. Suppose 5*k - 2*b = 51, 6*b - 2*b - 8 = 0. Determine k*u(v) + o*n(v).
v - 1
Let w(s) = -s. Let d(r) = -r + 11. Let h(x) = x - 9. Let k(o) = 4*d(o) + 5*h(o). Calculate k(j) + 3*w(j).
-2*j - 1
Let l(y) = y + 1. Let w(o) = o + 2. Determine -6*l(m) + 4*w(m).
-2*m + 2
Let h(z) = 5* | {
"pile_set_name": "DM Mathematics"
} |
ing order.
-9301, 4, 4358
Sort -1/106, 2/11, 41/3, -4, 4/3 in increasing order.
-4, -1/106, 2/11, 4/3, 41/3
Sort -0.2, 3, 348, 6, 12, 4.
-0.2, 3, 4, 6, 12, 348
Sort 625, 3, 2, -5, 1, 5377 in ascending order.
-5, 1, 2, 3, 625, 5377
Put -521, 3, 9182 in increasing order.
-521, 3, 9182
Put 2/5, -13/1980, 1.2, 3 in ascending order.
-13/1980, 2/5, 1.2, 3
Sort -3, -6, 4, -5473 in increasing order.
-5473, -6, -3, 4
Sort 391, -4105, -2, 4 in ascending order.
-4105, -2, 4, 391
Sort -2.97, 5, -6752 in ascending order.
-6752, -2.97, 5
Sort -183, -89, -70, -5, -8.
-183, -89, -70, -8, -5
Put -4, -2/17, 2/33, 4/19, 1/2, 72 in descending order.
72, 1/2, 4/19, 2/33, -2/17, -4
Sort -36, 2689, -0.3, 1 in decreasing order.
2689, 1, -0.3, -36
Put -3, -1/2, -5, -2/97, 449/27 in decreasing order.
449/27, -2/97, -1/2, -3, -5
Sort 1238, 1/2, -3.65.
-3.65, 1/2, 1238
Sort 410, -6/17, -8, -118 in decreasing order.
410, -6/17, -8, -118
Put 6690315, -3, -4 in decreasing order.
6690315, -3, -4
Put 2/2187, -459/2, 0.2 in ascending order.
-459/2, 2/2187, 0.2
Put 6, 57, 0, 16, 1, -160 in ascending order.
-160, 0, 1, 6, 16, 57
Sort 422, 2, -169, 41, 5 in decreasing order.
422, 41, 5, 2, -169
Sort 1, 4, 37, -12, -86, 6 in decreasing order.
37, 6, 4, 1, -12, -86
Sort -6, -1/67, -4.514 in ascending order.
-6, -4.514, -1/67
Put -8, -8350, 4, -6 in descending order.
4, -6, -8, -8350
Sort 0.2, 0.05, 1, 5/4, 5/6, 1413 in increasing order.
0.05, 0.2, 5/6, 1, 5/4, 1413
Sort 300967, -2, -17 in ascending order.
-17, -2, 300967
Put -592, 2, -1, -11, 4, 211 in increasing order.
-592, -11, -1, 2, 4, 211
Put 1, -0.8, -1, -24, -0.3, -580.2 in increasing order.
-580.2, -24, -1, -0.8, -0.3, 1
Sort -4, 5, -23, -15, 2, -5, 3 in decreasing order.
5, 3, 2, -4, -5, -15, -23
Put 324, 20226, -3 in descending order.
20226, 324, -3
Put 3, 165, 0, -2, -9, -8, -0.8 in descending order.
165, 3, 0, -0.8, -2, -8, -9
Put -1798, 12, -2, 7 in decreasing order.
12, 7, -2, -1798
Put -62.2, 6, -243 in ascending order.
-243, -62.2, 6
Put 0, 5, -16, -18180, 1 in descending order.
5, 1, 0, -16, -18180
Put -2, -3, 1, -42, 4, 2, -44 in descending order.
4, 2, 1, -2, -3, -42, -44
Sort 0.66, -1/4, 8193, -2/7 in decreasing order.
8193, 0.66, -1/4, -2/7
Put 19, 4, 284391 in descending order.
284391, 19, 4
Put 146, 41485, -6 in descending order.
41485, 146, -6
Put 11, 1623, 200, -6, 3 in descending order.
1623, 200, 11, 3, -6
Put -29, 51, 6, 57 in descending order.
57, 51, 6, -29
Sort -4, -2, -16, -6387, 5 in descending order.
5, -2, -4, -16, -6387
Put -2/5, 0.199, -37124 in descending order.
0.199, -2/5, -37124
Put -103111118, 5, -0.3 in descending order.
5, -0.3, -103111118
Put 447, 6, -145, 0.4, -5 in increasing order.
-145, -5, 0.4, 6, 447
Put -26, -2, 3780 in ascending order.
-26, -2, 3780
Sort 2/5, -1, 844866, 2 in decreasing order.
844866, 2, 2/5, -1
Sort -12, 10949, 283 in increasing order.
-12, 283, 10949
Sort -5, -2.6171, -1/2, -58/5 in decreasing order.
-1/2, -2.6171, -5, -58/5
Put 3, -3, -4, 1330, -1, 103 in ascending order.
-4, -3, -1, 3, 103, 1330
Sort -5, -2, -606, 18891 in increasing order.
-606, -5, -2, 18891
Sort 211, 13611, 2, 1 in decreasing order.
13611, 211, 2, 1
Sort 3/2, 0.3, 0.07, -3858.
-3858, 0.07, 0.3, 3/2
Put 2, -1.755, -2/7, 1 in decreasing order.
2, 1, -2/7, -1.755
Sort -0.2, -9581, 1/9, -41.
-9581, -41, -0.2, 1/9
Put 454, 2, -2, -3, -4 in decreasing order.
454, 2, -2, -3, -4
Put -42, 5, 3, -14786 in increasing order.
-14786, -42, 3, 5
Sort 1, 3, -54, 345, 9 in descending order.
345, 9, 3, 1, -54
Put -0.8, 23, 0.02, -0.13, -0.001 in descending order.
23, 0.02, -0.001, -0.13, -0.8
Sort 3, -1, -146, -12, -5, 1.
-146, -12, -5, -1, 1, 3
Put 3/8, -553, -2909/7 in ascending order.
-553, -2909/7, 3/8
Sort -2/9, 2, -554, -20.954, 0.3.
-554, -20.954, -2/9, 0.3, 2
Put -23, 9, -314, 4, -18 in descending order.
9, 4, -18, -23, -314
Put -500, -113, -5 in increasing order.
-500, -113, -5
Put 58, 1, -21020 in descending order.
58, 1, -21020
Put -3/7, -4/5, -8.757945 in descending order.
-3/7, -4/5, -8.757945
Put -5, -49.711784, -2 in ascending order.
-49.711784, -5, -2
Sort 22604, 3/17, 2/23, -3.
-3, 2/23, 3/17, 22604
Sort 231, -0.4, -3/5, 490.
-3/5, -0.4, 231, 490
Sort 1095, -5, 1.2, 12/13.
-5, 12/13, 1.2, 1095
Sort 2, -3/5, -4.4, 0, 1/84 in descending order.
2, 1/84, 0, -3/5, -4.4
Sort 144, -1, -315, 4, 3 in decreasing order.
144, 4, 3, -1, -315
Sort -42, -4, 4, 181, -12, 7 in decreasing order.
181, 7, 4, -4, -12, -42
Sort -3, -4, 18, 3, 4, -31, 1 in decreasing order.
18, 4, 3, 1, -3, -4, -31
Sort 3/3953, -12, -0.036, -0.3, 2 in descending order.
2, 3/3953, -0.036, -0.3, -12
Sort -21, 116, 73, 2, 6, 0 in ascending order.
-21, 0, 2, 6, 73, 116
Sort 284, 5, 1/22, 17/2 in descending order.
284, 17/2, 5, 1/22
Sort -25/3, 0, 1877 in ascending order.
-25/3, 0, 1877
Put -779, -207, 3, -4, 1 in decreasing order.
3, 1, -4, -207, -779
Sort -1, 4, 7708276, 1.
-1, 1, 4, 7708276
Sort -2, 240, 1, 604.
-2, 1, 240, 604
Sort 435, -3, 294324.
-3, 435, 294324
Put -3, 2, 5, -1444, 0.0132 in descending order.
5, 2, 0.0132, -3, -1444
Sort 3, 17, -634, -5, -14, -3.
-634, -14, -5, -3, 3, 17
Sort -3/2, 0, 5, -0.26, -135, -46 in increasing order.
-135, -46, -3/2, -0.26, 0, 5
Put 28, 5, -3, 11, -5, -4, 168 in decreasing order.
168, 28, 11, 5, -3, -4, -5
Sort -25, -6/11, -4, -0.0998, -0.4 in descending order.
-0.0998, -0.4, -6/11, -4, -25
Sort -37, -2, -9050, -1 in increasing order.
-9050, -37, -2, -1
Put 13, -150, 922, 2, -2, -4, 3 in descending order.
922, 13, 3, 2, -2, -4, -150
Sort 4, 58, 118, 5, 3 in decreasing order.
118, 58, 5, 4, 3
Sort -1508, -9, 14, 0.
-1508, -9, 0, 14
Sort 2, 5, -22, 3, 10, -4, 23 in increasing order.
-22, -4, 2, 3, 5, 10, 23
Sort 14, -3, 18253/5, -2/7 in increasing order.
-3, -2/7, 14, 18253/5
Put 73463, 88, 5 in ascending order.
5, 88, 73463
Sort 78, 7, -12, 1, 6, -1 in increasing order.
-12, -1, 1, 6, 7, 78
Put -1, 5, 0, -4, 70, -253, -3 in ascending order.
-253, -4, -3, -1, 0, 5, 70
Sort 1, 0, -121/3, 3/5, 12912, 2/9 in ascending order.
-121/3, 0, 2/9, 3/5, 1, 12912
Sort -278024, -14, -4, 3 in ascending order.
-278024, -14, -4, 3
Put -1, -8, 4, -3, 273885 in descending order.
273885, 4, -1, -3, -8
Sort -1.3, -51.8, -0.05, -0.14, -11 in decreasing order.
-0.05, -0.14, -1.3, -11, -51.8
Sort -27, -28905, 7 in decreasing order.
7, -27, -28905
Put 10, -17728, -232 in decreasing order.
10, -232, -17728
Put 2, -152, 34, 32 in descending order.
34, 32, 2, -152
Sort -4070171, -17, 1 in decreasing order.
1, -17, -4070171
Sort 17/5, 23015, 0.02.
0.02, 17/5, 23015
Put 4, -1, -1723, -5, 3, -21 in increasing order.
-1723, -21, -5, -1, 3, 4
Put 11, 7, -128, 4 in ascending order.
-128, 4, 7, 11
Put 4, 10, -13484, 0, -8, -4 in decreasing order.
10, 4, 0, -4, -8, -13484
Put 2, -1802, -92, -76 in decreasing order.
2, -76, -92, -1802
Sort 804794, -1, -44 in descending order.
804794, -1, -44
Sort 0, -17, -4, 1, -55, 4 in increasing order.
-55, -17, -4, 0, 1, 4
Put -68, -9, 563 in decreasing order.
563, -9, -68
Put 3, 1/4, 13, -7, 20/17, -19 in descending order.
13, 3, 20/17, 1/4, -7, -19
Sort -3/5, 0, -1/6, -5, 0.024, -190 in descending order.
0.024, 0, -1/6, -3/5, -5, -190
Put 0, 10, 39, -31, -5, 2 in decreasing order.
39, 10, 2, 0, -5, -31
Put -10, 3, -9, -32, -127, 5 in decreasing order.
5, 3, -9, -10, -32, -127
Sort 3, -42, -30, -2, 2, -1, -5 in descending order.
3, 2, -1, -2, -5, -30, -42
Sort -0.4, -1/5, 637/75, -0.091 in decreasing order.
637/75, -0.091, -1/5, -0.4
Sort 5, 96, 2, -0.3, -9, 6.1, 0.3 in increasing order.
-9, -0.3, 0.3, 2, 5, 6.1, 96
Put 0.9, 4, -8, -185, 5, 58 in ascending order.
-185, -8, 0.9, 4, 5, 58
Sort -6, 24, 7, 424, 1, 5, -3 in descending order.
424, 24, 7, 5, 1, -3, -6
Sort -49, -7, -736, -5, -1, -4, -2 in decreasing order.
-1, -2, -4, -5, -7, -49, -736
Put 23, -4, 3, -15, 2, 59 in increasing order.
-15, -4, 2, 3, 23, 59
Sort -6, 3, -24575, 5, -3 in descending order.
5, 3, -3, -6, -24575
Put 2, 149209, 3, -171 in decreasing order.
149209, 3, 2, -171
Put -4, 2, -5, -1, 0, -117032 in descending order.
2, 0, -1, -4, -5, -117032
Sort 213784, -7, 5 in decreasing order.
213784, 5, -7
Put -1103, -1, -2140, -8 in descending order.
-1, -8, -1103, -2140
Sort -5, 0.2, -2, -255/301, -3.
-5, -3, -2, | {
"pile_set_name": "DM Mathematics"
} |
d derivative of -b**6*w + 3807992*b**5*w + 1685*b**2 - 387*w wrt b?
-120*b**3*w + 228479520*b**2*w
Find the first derivative of -2958*c**3*g + 15*c**3 + 780560*c**2 - 28182*g wrt g.
-2958*c**3 - 28182
Find the second derivative of -499*k**4 - 3759*k**3 + 6810075*k wrt k.
-5988*k**2 - 22554*k
Differentiate 328418963*u**3 - 258564072 with respect to u.
985256889*u**2
What is the second derivative of -356993*y**5 + 7*y**3 + 1102*y + 386 wrt y?
-7139860*y**3 + 42*y
What is the second derivative of 14815*d**4 - 29*d**3 - 404*d**2 + 748969421*d wrt d?
177780*d**2 - 174*d - 808
What is the first derivative of -197378206*n**4 - 180058766?
-789512824*n**3
What is the second derivative of -2953278*m**2*u**2 - 2*m*u**2 - 90*m*u - m - u - 267 wrt m?
-5906556*u**2
Find the first derivative of 29185*b**3*z**2 + 33409916*b**3 + 3*b**2*z**3 wrt z.
58370*b**3*z + 9*b**2*z**2
Find the third derivative of 1959*s**5 - 983*s**4 + 11*s**3 + 309495329*s**2 - 2*s wrt s.
117540*s**2 - 23592*s + 66
What is the first derivative of -12672361*a**2 + 3487911?
-25344722*a
What is the third derivative of 13798048*l**2*s**2*u**3 + l**2*u**3 - 2*l**2*u + 1940108*l*s**2*u**2 + s*u**2 wrt u?
82788288*l**2*s**2 + 6*l**2
What is the third derivative of 747237*k**3*m + k**3 + k**2*m + 27*k**2 - 2*k*m + k + 7394*m wrt k?
4483422*m + 6
Find the second derivative of -127470*p**2*w**4 + 6*p**2*w - 6*p**2 + 26*p*w + 23*w**5 + 191*w + 2 wrt w.
-1529640*p**2*w**2 + 460*w**3
What is the third derivative of -8028588*q**3*x**3 - 458*q**2*x - q**2 - 13*q*x**3 + 2*q*x**2 - 3*q*x wrt q?
-48171528*x**3
What is the second derivative of -1045*h**2*i**3 + 268927*h**2*i - 98612*h*i**4 + 343*i wrt i?
-6270*h**2*i - 1183344*h*i**2
What is the second derivative of 20*d**3*h**2 + 8*d**3*h - 9829*d**3 + 18*d**2*h**2 - 5*d*h**2 - h**2 - 4*h wrt h?
40*d**3 + 36*d**2 - 10*d - 2
What is the first derivative of -10381*i**3*l - 206515*i**3 - 46*i + 12111*l wrt l?
-10381*i**3 + 12111
What is the second derivative of 2*b**3*v - 732*b**2*u*v + 453*b**2*u + b*u*v - 13572*b*u + 148*u wrt b?
12*b*v - 1464*u*v + 906*u
Differentiate -105*m**4 - 90221*m**3 + 2*m - 105866608 with respect to m.
-420*m**3 - 270663*m**2 + 2
Find the second derivative of -16824001*x**3 + 11995667*x wrt x.
-100944006*x
What is the second derivative of 96837*d*k**2 + 69*d*k - 41*d + 7*k**3 - 10*k**2 + 2*k + 25 wrt k?
193674*d + 42*k - 20
What is the second derivative of 244*a**5*n + 16442*a**3 - 14126*a*n - 2*a + 2*n + 26 wrt a?
4880*a**3*n + 98652*a
What is the third derivative of 136166328*g**4 - 112682278*g**2 wrt g?
3267991872*g
What is the derivative of 12981*q**2 - 31846*q - 774548197?
25962*q - 31846
What is the derivative of 4*k*n - 326*k*w - 70592463*n*w + 422593*w wrt n?
4*k - 70592463*w
Differentiate -4196*c*i - 13241689*c + 2166*i**3 - 2 wrt i.
-4196*c + 6498*i**2
What is the third derivative of 1635782*c**3*i**3 + 61*c**3*i**2 + 16369*c*i**2 + 1 wrt i?
9814692*c**3
Find the second derivative of 111535195*j**3 + j**2 - 524963089*j.
669211170*j + 2
What is the derivative of -14188774*z**2 + 2*z - 12026168?
-28377548*z + 2
What is the third derivative of 1053*s**6 - 1689*s**3 + 2296*s**2 - 1450*s wrt s?
126360*s**3 - 10134
Find the third derivative of 23*a*y**3 - 5*a*y**2 + 2*a*y + 23*a + 679*y**4 + 2*y**3 - 13*y**2 - 2*y wrt y.
138*a + 16296*y + 12
Find the third derivative of 5*x**6 - 2307*x**4 - 22*x**3 - 209500818*x**2.
600*x**3 - 55368*x - 132
Find the third derivative of 5552234*a**4 - 8245*a**2 - 252*a wrt a.
133253616*a
Find the third derivative of 6885*c**6 - 107*c**4 - 6*c**3 - 278396*c**2 - 54*c wrt c.
826200*c**3 - 2568*c - 36
Find the third derivative of -5*o**4 + 29343986*o**3*x**3 + 37279*o**2*x**2 + o**2*x + 656*o*x**3 wrt o.
-120*o + 176063916*x**3
What is the first derivative of 13067*r**4 - 336*r**2 - 18786098?
52268*r**3 - 672*r
What is the third derivative of 22126731*f*m**3 + 39497*f*m**2 - 131*f + m**3 + m**2 wrt m?
132760386*f + 6
Differentiate -4750052*z**4 - 2355160 wrt z.
-19000208*z**3
Find the third derivative of -313*k**3*y + 7687*k**3 - 335386*k**2*y - 8*k*y wrt k.
-1878*y + 46122
Find the third derivative of -1300*h**4 - 7054*h**3*v - 128853*h**2*v + 235*h*v wrt h.
-31200*h - 42324*v
Find the third derivative of -13599710*j**4*t - 266*j**2 - 1042*t wrt j.
-326393040*j*t
Differentiate -1133072*j**3 + 21350153.
-3399216*j**2
What is the second derivative of 312480738*v**3 + 36491*v - 5437 wrt v?
1874884428*v
Find the second derivative of 18511562*p**5 - 190*p + 22479.
370231240*p**3
Find the third derivative of -830*b**2*d**5 - 55*b**2*d - 6359*b*d**2 + 1846*d**5 wrt d.
-49800*b**2*d**2 + 110760*d**2
Find the second derivative of 819823*c**3*q**5 - 851*c**3 + 3*c**2*q + 6*c**2 - 2*c*q**5 - 3*c + 2*q wrt q.
16396460*c**3*q**3 - 40*c*q**3
What is the second derivative of -18173*v**3 + 1145*v**2 - 642217*v - 359?
-109038*v + 2290
Differentiate -63151774*d + 182037543.
-63151774
Differentiate 622149275*o**4 - 1009554714 with respect to o.
2488597100*o**3
Find the second derivative of -3*r**3*v - 4749872*r**3 - r**2*v + 3*r**2 - 10*r*v - 2351972 wrt r.
-18*r*v - 28499232*r - 2*v + 6
What is the second derivative of 27005361*x**5 + 47*x - 48320 wrt x?
540107220*x**3
What is the third derivative of -2103710*z**4 - 4*z**3 + 662289*z**2 - 8*z?
-50489040*z - 24
Find the first derivative of 25434212*j**3*y + j**3 - 7799790 wrt y.
25434212*j**3
Differentiate 43238711*n*y**2 - 24575493*n + y**2 with respect to y.
86477422*n*y + 2*y
Find the third derivative of -137484561*k**3 + 12604*k**2 - 806*k - 2 wrt k.
-824907366
Differentiate 2231298*a*h**2 - 52*h**2 - 1907703*h + 1 with respect to a.
2231298*h**2
What is the derivative of 119681752*q - 13002009?
119681752
Find the first derivative of 4562*a**4 - 323*a**3 - 8884345.
18248*a**3 - 969*a**2
What is the third derivative of -3*t**4*v - 2750186*t**3 + 3*t**2 + 1914*t + 136*v wrt t?
-72*t*v - 16501116
Find the third derivative of -425005344*t**3*y + 56254*t**2*y - 2*t**2 + 182*t*y - 2*t + 1 wrt t.
-2550032064*y
What is the third derivative of 9*d**5*j + 873*d**4*j - 470*d**3 + d**2*j + 14*d**2 - 9*d*j - 2*d - 50*j + 140 wrt d?
540*d**2*j + 20952*d*j - 2820
Find the first derivative of -2471745*c**2 + 2*c - 57776590 wrt c.
-4943490*c + 2
Differentiate -9539753*b*n + b - 37948982*n wrt b.
-9539753*n + 1
What is the first derivative of 14534228*t**4 - 73283687?
58136912*t**3
What is the second derivative of -4*q**3 + 44763302*q**2 - 194576170*q?
-24*q + 89526604
What is the derivative of -7677130*w**4 + 28398084?
-30708520*w**3
What is the third derivative of -1984280*d*i**3 - 4*d*i**2 + 695*d*i - 34*i wrt i?
-11905680*d
What is the derivative of 3*d**2*q - 4431852*d*q**2 - 2776165*q**2 wrt d?
6*d*q - 4431852*q**2
What is the third derivative of 50865028*g**3 + 176200*g**2?
305190168
Find the third derivative of -6190771*b**5 - 406*b**2 - 2*b - 4443 wrt b.
-371446260*b**2
Find the first derivative of 368795906*a*q + 10153*q - 7943 wrt a.
368795906*q
Find the first derivative of 228*k**3*l - k**2 - 1869*k*l + 9476631*l wrt k.
684*k**2*l - 2*k - 1869*l
Find the third derivative of 2065532*f**2*i**3 - 19*f**2*i + 19*f*i**3 + 3*f*i**2 - 550*f*i + 2*i**2 + 6*i wrt i.
12393192*f**2 + 114*f
What is the derivative of 2456*c*n - 3*c*t**2 + 476*c - 2*n*t**2 - 3*n*t + 44*n + 36*t**2 - t - 6 wrt c?
2456*n - 3*t**2 + 476
Differentiate -8509*y**4 + 22*y**3 + 4*y - 28883793 wrt y.
-34036*y**3 + 66*y**2 + 4
What is the second derivative of 89*j**2*m*s**2 - 93106*j**2*m + 2*j**2 + 44900*j*m*s**2 - 31*j*m - j*s + 2*m*s + 2 wrt s?
178*j**2*m + 89800*j*m
What is the second derivative of 2557855*h**4 - 34484*h - 4?
30694260*h**2
Find the second derivative of -1225*c**2*f**2 + 106345*c**2*f*z - c**2 - 5*c*z + 920*f**2*z wrt f.
-2450*c**2 + 1840*z
What is the derivative of 565552195*m - 303349950 wrt m?
565552195
What is the third derivative of 220162703*c**4 - 2*c**2 - 116*c + 381067 wrt c?
5283904872*c
What is the second derivative of 6431350*s**3 + 6*s**2 - 13130*s - 731 wrt s?
38588100*s + 12
Differentiate 1594565*o**3 - 49*o**2 - 643343723.
4783695*o**2 - 98*o
What is the third derivative of 14490390*r**3 - 8031174*r**2?
86942340
What is the derivative of 45*w**4 - 228335*w**2 + 116 | {
"pile_set_name": "DM Mathematics"
} |
.99999964. Round q to 7 dps.
-0.0000004
Let l = -468961.847 - -469218. Let q = l - 256. What is q rounded to two dps?
0.15
Suppose 2*b - 3*b = 0. Suppose -2*i - n = -b*n + 1040000, -i - 5*n = 520000. Round i to the nearest 100000.
-500000
Let z = 6586 - 3749. What is z rounded to the nearest 1000?
3000
Suppose -4 + 8 = -4*b + a, 8 = 3*b + 2*a. Suppose -c - 4*t - 23999988 = b, 3*c - t + 71999988 = -5*t. What is c rounded to the nearest one million?
-24000000
Let k = 0.4956 + -0.305. Round k to two dps.
0.19
Let l = -648.8 + 753. Round l to the nearest ten.
100
Let l = 15252.83239 - 15255.5. Let i = l + 2.67. What is i rounded to four decimal places?
0.0024
Let q = -10548916.29000312 + 10548958.29. Let k = 42 - q. What is k rounded to 7 dps?
0.0000031
Let l = -2.3848 - -2.36. What is l rounded to 3 dps?
-0.025
Let g = 2.80000167 + -2.8. Round g to seven dps.
0.0000017
Let y = 36.9737 + -37.61. Let s = 0.697 + y. Let r = s - 0.06. Round r to 4 decimal places.
0.0007
Let t(k) = -146667*k**2 + 3*k. Let j be t(-3). Let n be (j/1)/(-3) - 4. Round n to the nearest 100000.
400000
Let q = -16104329 - -28260788. Suppose 0*l + l + 856465 = 3*t, 0 = -4*l + 4*t - 3425844. Let v = q + l. What is v rounded to the nearest one million?
11000000
Let z = -9315 - -20168. Let p = z - 10859.0898. Let x = p - -6.1. Round x to 3 dps.
0.01
Suppose 2*p = -0*p + 3*g + 55544847, 27772443 = p + 5*g. Let w = -16006841 + p. Let s = -4465587 + w. What is s rounded to the nearest one million?
7000000
Let l = -27.09 + 27.0900009762. What is l rounded to 7 dps?
0.000001
Let a = 4023759 + -4023543.9837. Let c = a + -0.0163. Let y = -214.9851 + c. What is y rounded to three decimal places?
0.015
Let z(o) = -191*o**2. Let c be z(-1). Let h = c + -3249. What is h rounded to the nearest one hundred?
-3400
Suppose q + 5*b - 3*b = 10999998, 0 = 3*q + 3*b - 32999979. Suppose -5*k = 5*r - 2038015 - 8962000, 5*k = 4*r + q. Round k to the nearest one million.
2000000
Let t = -295.0246 - -295. What is t rounded to 3 dps?
-0.025
Let q(k) = -57304*k - 4. Let v be q(-1). Round v to the nearest 1000.
57000
Let z = 0.03 + -0.75. Let d = z - -0.72066. What is d rounded to four dps?
0.0007
Let d = 59 - 52. Let b = 6.99999972 - d. What is b rounded to seven dps?
-0.0000003
Suppose 0 = -3*c + 3*q + 5301, -5*q + 5325 = 8*c - 5*c. Round c to the nearest one thousand.
2000
Let d = 885.404 + -882. What is d rounded to one dp?
3.4
Let s = 0.049 + -2.749. Let h = -2.699936 - s. What is h rounded to five decimal places?
0.00006
Suppose 5*i = 9*i - 71388. Suppose a - i - 22161 = -2*n, -3*a + 5*n + 119980 = 0. Round a to the nearest ten thousand.
40000
Let l = 808.8 + -972. Round l to the nearest 10.
-160
Let v = -2.6202478 + 2.62. Round v to 5 decimal places.
-0.00025
Let g = 122.999995907 + -123. What is g rounded to 6 decimal places?
-0.000004
Suppose 0 = -2*c - 3*v - 417, 4*c = 6*c + v + 411. Let g be c/(-8)*-10*-20. What is g rounded to the nearest one thousand?
5000
Let n = 4074 + -11937. Let l = n - -174863. Round l to the nearest 10000.
170000
Let g = 1 + 9. Let c = 16 - g. Suppose 2*r - 2*u = -36008, c*r - u + 90004 = r. Round r to the nearest ten thousand.
-20000
Let x(h) = h**3 - 37*h**2 + 38*h + 6. Let k be x(36). Round k to 0 decimal places.
78
Let j = -5 - 0. Let t = j + 64. Let w = -59.0184 + t. Round w to 3 decimal places.
-0.018
Let s = 46 + -44.2. Let b = -1.777 + s. What is b rounded to 2 dps?
0.02
Let x = -0.76 - -0.873. Let s = -0.11299913 + x. Round s to 7 decimal places.
0.0000009
Let r = -7.52 - -7.52000763. What is r rounded to seven dps?
0.0000076
Let m = 0.07 + 2.93. Let l = 6 + m. Let z = l - 9.00000007. What is z rounded to seven decimal places?
-0.0000001
Suppose q - 3*l + 5117408 = -4*l, -4*l - 15352225 = 3*q. Let o = -1736264 - q. Let j = -6381143 + o. Round j to the nearest one million.
-3000000
Suppose -4 = c - 0. Let k(w) = w**3 + 3*w**2 - 4*w. Let a be k(c). Let g be 0 + a + 780/4. What is g rounded to the nearest 10?
200
Let g = 758.033 - 759. What is g rounded to one dp?
-1
Suppose 10*l + 14523984 = -2*p + 6*l, 3*l - 29048012 = 4*p. Round p to the nearest 100000.
-7300000
Let n(z) = z**2 - 2*z. Let i be n(2). Suppose i = -3*g + 906 + 2010. Suppose -3*m = m - g. What is m rounded to the nearest 10?
240
Let j(b) = 23360*b**3 + 2*b**2 - 24*b + 104. Let a be j(14). Round a to the nearest 1000000.
64000000
Let u(s) = -2938*s - 5. Let n(g) = -2939*g - 5. Let c(f) = -3*n(f) + 2*u(f). Let l = -152 + 147. Let y be c(l). Round y to the nearest 1000.
-15000
Let d = -6051 - -6050.93921. Round d to 2 dps.
-0.06
Let t = -7.16 - -17.48. What is t rounded to 1 dp?
10.3
Let w = -1.186 + -0.034. Let k = w - -0.71. What is k rounded to 1 decimal place?
-0.5
Let h = 63.6 + -232.2. Let q = h - -187. Round q to 0 decimal places.
18
Let h = 0.0412 + -9.2212. What is h rounded to 1 dp?
-9.2
Let z be 96/(-40)*35/2. Let d = -14 - z. What is d rounded to the nearest 10?
30
Let y = 87.7 + -88. Let b = 0.3000148 + y. What is b rounded to 5 dps?
0.00001
Let z = -38.944 - 0.056. Let l = z + 39.00022. Round l to four dps.
0.0002
Let v = 27.2 + 34.85. Round v to zero decimal places.
62
Let l = 10 + -10.8. Let i = -0.365857 - 0.434158. Let n = i - l. What is n rounded to five decimal places?
-0.00002
Let u = 62 + 56. Let p = u - 117.9999954. Round p to six decimal places.
0.000005
Let r = 5.9 + -1.45. What is r rounded to zero decimal places?
4
Let w = 1.90000182 - 1.9. Round w to 7 dps.
0.0000018
Let w(z) = 47*z**3 + z**2 - 15*z - 8. Let g = -15 - -23. Let v be w(g). What is v rounded to the nearest 10000?
20000
Let p = 16.05 + -21. Let s = p + -0.35. Round s to the nearest integer.
-5
Let m = -0.068 - -0.06798947. Round m to 7 decimal places.
-0.0000105
Suppose -5*k - 41600 = -6*k. Suppose -9*d = -5*d + k. Round d to the nearest 1000.
-10000
Let r = -409 + 507.6. Round r to the nearest 10.
100
Let n = 11394.342 + -11405. Let w = n + 149.6453. Let j = w + -139. What is j rounded to 3 decimal places?
-0.013
Let p = -638080 + 1297083. Suppose 3140997 + p = 2*q. What is q rounded to the nearest 1000000?
2000000
Let k = 44.12 + 0.88. Let x = k + 91. Let l = x + -136.000067. What is l rounded to five decimal places?
-0.00007
Let b = -746344455 + 2101275569. Let n = b + -1354930427.999717. Let y = n + -686. Round y to 5 decimal places.
0.00028
Suppose -37*i = 19*i + 700560. What is i rounded to the nearest 1000?
-13000
Suppose 0*g = 2*g - 10. Suppose 0 = g*i + 2*x - 38996, 2*x = i - 9253 + 1449. What is i rounded to the nearest 1000?
8000
Let x = 149 + -148.999999655. Round x to seven decimal places.
0.0000003
Let c = -690 - -713.7. What is c rounded to 0 decimal places?
24
Let v(o) = -o - 2 - 2 + 2 + o**3 + 4*o**2. Let z be v(-4). Suppose -2310 = x + z*x. Round x to the nearest one hundred.
-800
Suppose -494 - 321 = 2*d + 3*j, 0 = -d - j - 410. Let m = d - -168. Round m to the nearest ten.
-250
Let n(b) = 222445*b + 5. Let v be n(-9). Round v to the nearest one hundred thousand.
-2000000
Let l = 6.2 + 1.5. Let z = l + 1.1. Let d = z - 8.8000071. What is d rounded to six dps?
-0.000007
Suppose -61 = -6*s + 23. Suppose 3*r = z - 2, 0*z = -3*r - 2*z - s. Let v be (-21999994)/r + 2 + 1. What is v rounded to the nearest one million?
11000000
Let g = -1449251.91639586 + -1374.68263414. Let p = g + 1450636. Let u = -9.4 + p. Round u to four dps.
0.001
Let j = -2.41 + 2.63. Round j to zero dps.
0
Let f = -0.0078868 - -0.0079. What is f rounded to six decimal places?
0.000013
Let t be 2/(-10)*(-3 - 12). Suppose t*z + 2*z = 21000000. Round z to the nearest 1000000.
4000000
Let z = 1.89 + -1.890000279. What is z rounded to seven decimal places?
-0.0000003
Let p = -25.11 + 25. Let h = p - -0.114. Let m = h + 0.0076. Round m to three decimal places.
0.012
Let a = -10.4 - -2.4. Let b = -8.000222 - a. What is b rounded to five decimal places?
-0.00022
Let z = 90581 + -1250581. Round z to the nearest one million.
-1000000
Let q = 0.37 - -0.07. Let d = q + 18.56. Let j = -18.9952 + d. What is j rounded to three dps?
0.005
Suppose 5*n - 21 = 3*m, -3*n - 3*m = -n. Suppose -n*b = -276 + 1155. Let a = b - -623. Round a to the nearest 100.
300
Suppose -o = -3*o - 3*o. Suppose o = 2*n - 3*n - 11500. What is n rounded to the n | {
"pile_set_name": "DM Mathematics"
} |
z(s).
3*s**2 + 5*s - 9
Let c(o) = 0*o + 1 + 2*o - 5. Let j = 23 + -27. Let x(a) = -2 - 3 + 2*a + 2 - 2. Determine j*x(n) + 5*c(n).
2*n
Let p(f) = -9*f + 8*f + 30 - 30 + 9*f**2. Let d(q) = -q**2. Calculate 5*d(y) + p(y).
4*y**2 - y
Let c(u) = 4 + 2*u + 2*u - 3*u - 5. Let t(m) = m + 1. Let g = 43 - 42. What is g*t(v) - 3*c(v)?
-2*v + 4
Let t(d) = 6*d**2 + 7*d - 1. Let a(n) = n**2 + n. Let q(b) = -b**2 + 7. Let i be q(2). Suppose -h = 5*j - i*j - 6, 0 = -2*j + h + 10. Determine j*a(z) - t(z).
-2*z**2 - 3*z + 1
Let l(m) = m**2 - 2*m - 2. Let t(d) = -4*d**2 - 78*d - 3. What is l(v) - t(v)?
5*v**2 + 76*v + 1
Let j(d) be the first derivative of d**2 + 11*d - 69. Let m(v) = v + 4. Let t(s) = s**2 + 13*s - 4. Let k be t(-13). Give k*j(n) + 11*m(n).
3*n
Let f(i) = -i**2 - i + 1. Let y(m) = 12*m**2 + 36*m + 4. Let u(w) = -35*w**2 - 102*w - 11. Let g(t) = 6*u(t) + 17*y(t). Give f(n) - g(n).
5*n**2 - n - 1
Let k(w) = -2*w**3 + 3*w**2 - w - 1. Let o be (10 + -8)*(1 + -2). Let v(y) = y**3 - 2*y**2 + y. What is o*k(r) - 3*v(r)?
r**3 - r + 2
Let y(g) = -8*g**2 + 6*g - 6. Let a(u) = -u**2 + u - 1. Suppose -9*d = -5*d - 4. Calculate d*y(r) - 6*a(r).
-2*r**2
Let x(f) = 2*f + 1254*f**3 + 6*f - 1243*f**3 + f. Let s(a) = -17*a**3 - 14*a. What is 5*s(q) + 8*x(q)?
3*q**3 + 2*q
Let d(c) = -651*c + 77. Let k(n) = -59*n + 7. Give 5*d(x) - 56*k(x).
49*x - 7
Suppose 3*j - 3*r = 15, -5*j + 21 = 4*r - 7*r. Suppose 0 = -x - j, 2*o - 27 = -o + 3*x. Let i(l) = 3*l - 14. Let p(b) = -b + 5. Give o*i(y) + 17*p(y).
y + 1
Let u(v) = 111*v + 3. Let s(r) = -37*r - 1. Determine -17*s(q) - 6*u(q).
-37*q - 1
Let y(f) = 6*f - 1 + 4*f**2 - 2*f**2 - 2. Let d(h) = 2*h**2 + 5*h - 2. Let k(c) = c**3 - 26*c**2 - 24*c - 78. Let t be k(27). Calculate t*y(l) - 4*d(l).
-2*l**2 - 2*l - 1
Let v(u) be the first derivative of u**3 - 4*u - 31. Let s(b) = 7*b**2 - 7. Give 4*s(g) - 7*v(g).
7*g**2
Let c(u) = -185*u**3 - 8*u**2 + 8*u + 8. Let n(g) = 62*g**3 + 3*g**2 - 3*g - 3. Calculate 3*c(h) + 8*n(h).
-59*h**3
Let b(z) = 210*z**3 + 3*z**2 + 6*z - 4. Let k(w) = -w**2 - 2*w + 1. Determine b(n) + 3*k(n).
210*n**3 - 1
Let f be (15/6)/((-2)/(-4)). Suppose u + w = -w, u = -f*w. Suppose -3*g = -21 - u. Let m(c) = -4*c - 4. Let i(o) = 13*o + 13. Determine g*m(z) + 2*i(z).
-2*z - 2
Let i(u) be the first derivative of u**2/2 + u + 4. Let j(t) = -t. Let q = 22 + -19. Give q*j(b) + i(b).
-2*b + 1
Let w(i) = -i - 47. Let r(h) = -h - 47. Calculate -5*r(v) + 6*w(v).
-v - 47
Let i(d) = 9*d**2 + 3*d + 5. Let w(k) = -4*k**2 - k - 2. Suppose 2*h - 3*u = -h - 24, 3*h = -u - 4. Let g be 22/(-10) + (h - 48/(-15)). What is g*i(p) - 5*w(p)?
2*p**2 - p
Let s(v) = -3*v + 3. Let w be 2/3*(-18 - (-99)/6). Let x(m) = 6 - 4 + 0 - 3. What is w*s(b) - 3*x(b)?
3*b
Let s(o) = -2*o**2 - 17*o + 14. Let w(d) = 2*d**2 + 18*d - 16. Give 7*s(b) + 6*w(b).
-2*b**2 - 11*b + 2
Let f(s) = s + 1. Let l(h) = h**3 - 2*h**2 - 7. Calculate -2*f(u) - l(u).
-u**3 + 2*u**2 - 2*u + 5
Let m(c) = -c. Let i(l) = -2*l - 1. Suppose -5 = -3*o + 7. Let r be 1*2*o/(-8). Let g(j) = -2*j**2 + 1. Let q be g(r). Give q*i(x) + m(x).
x + 1
Let c(o) = o - 1. Let k(t) = -5*t + 3. Let v(d) = d**3 - 3*d**2 + 2*d. Let x be v(3). Calculate x*c(b) + k(b).
b - 3
Let h(s) = -6*s**3 - 5*s**2 + 17*s - 17. Let q(v) = -v**3 - 2*v**2 + 6*v - 6. What is -6*h(i) + 17*q(i)?
19*i**3 - 4*i**2
Let j(n) = -14*n**2 + 3*n + 16. Let h(r) = -5*r**2 + r + 6. What is 11*h(o) - 4*j(o)?
o**2 - o + 2
Let s(q) = -9*q**3 + 2*q**2 - 4*q - 7. Suppose 48 = -12*j - 0. Let a(u) = -5*u**3 + u**2 - 2*u - 4. Give j*s(k) + 7*a(k).
k**3 - k**2 + 2*k
Let b(g) = -g + 1. Let c(d) = -d - 9. Let y be c(-12). Suppose y*h - 19 = -4. Let z(t) = 2*t**2 + 4*t - 4. Give h*b(j) + z(j).
2*j**2 - j + 1
Let h(k) = 373*k**3 + k**2 - 8*k. Let r(b) = -b**3 + 2*b. Determine -h(j) - 4*r(j).
-369*j**3 - j**2
Let d(o) = -638069*o - 25828. Let j(v) = 593*v + 24. Give 6*d(s) + 6457*j(s).
587*s
Let i(x) = 4 - 3 - 5*x - 5. Let s(n) be the first derivative of 2*n**2 + 3*n - 1049. Determine -6*i(v) - 7*s(v).
2*v + 3
Let n(p) = -4*p - 3. Let r(q) = 28*q + 589. Let b be r(-21). Let h = -3 - 0. Let o(z) = -z - 1. What is b*n(f) + h*o(f)?
-f
Let a(b) = 2*b - 22. Let c(p) = p - 1. Give -a(z) + 5*c(z).
3*z + 17
Let x(l) = 71*l**2 + 5. Let a(b) = 72*b**2 + 7. Calculate -2*a(k) + 3*x(k).
69*k**2 + 1
Let r(k) = 404*k + 3. Let o(w) = 406*w + 4. What is 3*o(l) - 4*r(l)?
-398*l
Suppose 6*i - 2*i - 4 = 0. Let z(r) = 3*r**2 - 1 + 0*r**2 - 7*r + i. Let w(q) = q**2 - 2*q. Determine -14*w(s) + 4*z(s).
-2*s**2
Let f(m) = 208*m - 18. Let v(k) = -104*k + 7. Give 4*f(c) + 10*v(c).
-208*c - 2
Let a(l) be the first derivative of l**3/3 - l**2/2 + 1. Let b be a(2). Let w(i) = -4 + 3 - i**b + 0. Let z(v) = -2*v**3 + 4*v**2 + 3. Give 5*w(n) + z(n).
-2*n**3 - n**2 - 2
Let l(v) = -2. Let c(d) = 14*d - 25. Let z(g) = -5*g + 8. Let t(n) = -4*c(n) - 11*z(n). Calculate -14*l(p) - 2*t(p).
2*p + 4
Suppose 4*p - 88 = -3*a + 2*a, 0 = 3*p + 4*a - 53. Let g = 17 - p. Let f(k) = -9*k + 5. Let l(r) = -5*r + 3. Give g*f(d) + 11*l(d).
-d + 3
Let g(d) = 1. Let x(b) = -13*b**3 - 12*b - 19. Let s(u) = 25*u**3 + 22*u + 34. Let h(v) = -6*s(v) - 11*x(v). Determine -5*g(f) + h(f).
-7*f**3
Let g(w) = 4*w**3 - 3*w**2 - 3*w - 2. Let h(m) = m**3 - m**2 - m. What is g(v) - 3*h(v)?
v**3 - 2
Suppose -10 = -3*b - 4. Let r(h) = 1 + 5*h**3 + h**2 + 0*h**2 + h**b - 3. Let j(w) = -6*w**3 - 3*w**2 + 3. Give -2*j(q) - 3*r(q).
-3*q**3
Let g(q) = -4*q + 3*q + 0*q - q**2 - 1. Let x(t) = 3*t**2 + 5*t + 21. Let v(s) = -3*s**2 - 5*s - 18. Let w(f) = -5*v(f) - 4*x(f). Calculate -5*g(n) - w(n).
2*n**2 - 1
Let l(r) = 58*r**2 + 4*r + 4. Let j(i) = -58*i**2 - 7*i - 5. Give -2*j(a) - 3*l(a).
-58*a**2 + 2*a - 2
Let p(q) be the second derivative of -7*q**3/6 + 2*q**2 + 203*q. Let m(s) = 6*s - 3. What is 5*m(y) + 4*p(y)?
2*y + 1
Let n(k) = -k**3 - 1. Let i(d) = -8 - 5*d + 9*d + 3 - 6*d. Calculate i(z) - 3*n(z).
3*z**3 - 2*z - 2
Let x = 272 + -275. Let r(g) be the third derivative of -g**4/24 - 2*g**3/3 + g**2. Let l(z) = z + 5. What is x*r(s) - 2*l(s)?
s + 2
Suppose g = -3*n + 25, 2*n + 3*g - 15 = 11. Let b(c) = 2*c - 8 - n + 15. Let p(l) = -5*l - 9 + 9. Calculate -8*b(t) - 3*p(t).
-t
Let z(p) = -p**2 - 4. Let o(d) = 201*d**2 - 8. Give 2*o(i) - 4*z(i).
406*i**2
Let m(u) = 15*u - 16. Let p(d) = -7*d + 7. Determine -4*m(r) - 10*p(r).
10*r - 6
Let t(d) = 5*d - 317. Let z(j) = -3*j + 159. What is -4*t(u) - 7*z(u)?
u + 155
Let c(o) = 24*o**3 + 11*o + 11. Let p(j) = 5*j - 3*j - 3*j**2 - j**2 + 5*j**3 + 2 + 4*j**2. Give 2*c(k) - 11*p(k).
-7*k**3
Let c(s) = -s + 4. Let j(b) = -324 + 175 + 154. Give 5*c(u) - 4*j(u).
-5*u
Let u(h) = 84*h - 2. Let w(s) = 3*s. What is u(b) + 3*w(b)?
93*b - 2
Let v(l) = 7*l + 12. Let y(r) = r + 1. Give v(b) - 3*y(b).
4*b + 9
Let p(l) = 13269*l**2 - 13270*l**2 - 14*l + 20 + 1. Let v(d) = -3*d + 4. Give -2*p(s) + 11*v(s).
2*s**2 - 5*s + 2
Let a(c) = 6*c**3 - 5*c**2 - c + 4. Let s(i) = 13*i**3 - 11*i**2 - 2*i + 9. Let q(d) = -9*a(d) + 4*s(d). Let o(w) = -2*w**3. Determine -3*o(t) + 2*q(t).
2*t**3 + 2*t**2 + 2*t
Let z(s) = 2*s**3 + 10*s**2 - 14*s - 595. Let y(d) = -d**3 - 6*d**2 + 8*d + 298. Give 7*y(r) + 4*z(r).
r**3 - 2*r**2 - 294
Let h(x) = 2*x**3 + x**2 + x - 9. Let j(q) = q**3 - 5. Calculate -3*h(u) + 5*j(u).
-u**3 - 3*u**2 - 3*u + 2
Let b(x) = -2*x**2 + 12. Let v(n) = -n**2 + 5. Suppose 0*o - 3*o = 2*q - 176, -q = -3*o + 182. Suppose 40*a - o = 45*a. What is a*v(r) + 5*b(r)?
2*r**2
Let v(y) be the third derivative of 1/24*y**4 - y**2 - 1/6*y**3 + 0*y + 0. Let i(r) = 2*r - 4. Suppose -51*n = -57*n - 36. What is n*v(g) + 2*i(g)?
-2*g - 2
Let o(i) = i**3 + 2. Let d be o(0). Let u(h) = 2 + 19*h - 5*h - 5*h - 5 - 8*h. Let w(k) = -1. What is d*u(b) - 4*w(b)?
2*b - 2
Let x(z) = -7*z + 5. Suppose -3*w = 4*h - 25 + 10, 3*h = -5*w + 25. Let y(g) = -2 + g - 1 - 25*g + 27*g. Calculate w*y(v) + 3*x(v).
-6*v
Let s(i) = -34*i - 14. Let y(t) = -5*t + 1. Let r(g) = -s(g) + 6*y(g). Let h(x) = 1. Determine 20*h(q) - r(q).
-4*q
Let l(m) = -1. Let v(i) = i + 3. Suppose -3*z + 70 + 2 = 0. Suppose -6*g - z = -2*g. Let n be (-4)/(-4)*(-6)/3. Give g*l(b) + n*v(b).
-2*b
Let r(w) = -13*w**2 - 23*w + 2. Let a(z) = 14*z**2 + 21*z - 3. What is -2*a(u) - 3*r(u)?
11*u**2 + 27*u
Let m(f) be the third derivative of f**5/60 | {
"pile_set_name": "DM Mathematics"
} |
- 93*v + 5867. Determine r(-91).
-2232
Let y(t) = -822*t - 135636. Determine y(-165).
-6
Let o(w) = -74*w**2 + 1462*w - 1073. Calculate o(19).
-9
Let r(f) = -9*f**2 - 45*f + 170. What is r(4)?
-154
Let z(o) = -o**2 - 215*o - 9476. What is z(-64)?
188
Let w(x) = -x**3 - 50*x**2 - x + 206. Give w(-50).
256
Let j(i) = 2*i**2 - 132*i - 1142. Calculate j(68).
-870
Let z(k) = k**3 + 60*k**2 + 19*k + 1111. What is z(-60)?
-29
Let u(r) = -r**2 + 96*r - 1965. What is u(29)?
-22
Let y(f) = -21*f**2 - 182*f + 1854. Give y(6).
6
Let d(n) = n**3 + 11*n**2 - 79*n + 143. Determine d(2).
37
Let c(p) = -24*p**2 - 71*p - 59. Determine c(-2).
-13
Let h(u) = -u**2 - 7*u + 22843. What is h(145)?
803
Let l(y) = y**3 - 6*y**2 - 139*y + 112. Calculate l(15).
52
Let j(o) = 3406*o + 95384. Calculate j(-28).
16
Let m(k) = -k**3 - 15*k**2 + 76*k - 30. What is m(4)?
-30
Let i(c) = -c**2 + 1635*c + 1226432. What is i(-559)?
-14
Let x(f) = -f**3 + 31*f**2 - 179*f - 76. Calculate x(23).
39
Let o(f) = 473*f + 19839. Determine o(-40).
919
Let l(f) = -358*f**2 - 4286*f + 65. Determine l(-12).
-55
Let p(w) = 6220*w - 18258. What is p(3)?
402
Let z(p) = -17*p**2 - 11444*p - 24769. What is z(-671)?
58
Let k(p) = -40*p**2 - 8170*p - 26128. Determine k(-201).
2
Let b(q) = q**3 + 12*q**2 - 4*q + 34. Determine b(-5).
229
Let t(a) = 2*a**3 - 48*a**2 - 156*a + 48. Determine t(27).
210
Let c(p) = 11*p**3 + 176*p**2 - 23*p - 370. Give c(-16).
-2
Let v(c) = 99*c**2 + 9616*c + 1253. Give v(-97).
-8
Let i(p) = 34*p**2 + 584*p - 400. Determine i(-20).
1520
Let v(k) = -2*k**2 - 266*k - 2024. Calculate v(-125).
-24
Let y(d) = 4689*d + 32784. What is y(-7)?
-39
Let p(v) = -2*v**2 + 274*v - 4249. Calculate p(119).
35
Let k(a) = -510*a**2 - 44610*a - 20886. Determine k(-87).
-6
Let o(q) = 35*q**2 + 7480*q - 1713. Calculate o(-214).
427
Let d(l) = 58*l**2 + 823*l - 11. Give d(-12).
-1535
Let r(l) = -l**3 - 13*l**2 - 183*l + 1416. Give r(7).
-845
Let p(l) = 347*l - 83289. Give p(233).
-2438
Let s(q) = -q**3 + 76*q**2 + 22270*q + 322. Give s(192).
-62
Let d(y) = -150*y**2 - 6167*y + 19076. Give d(-44).
24
Let c(y) = -30*y**3 - y**2 - 60*y - 59. What is c(-1)?
30
Let i(v) = -v**3 + 97*v**2 + 1641*v - 2629. Determine i(-16).
43
Let v(w) = 551*w - 50540. Determine v(91).
-399
Let a(v) = 84*v**2 + 6387*v + 67. Determine a(-76).
-161
Let r(s) = -2328*s**2 - 2307046*s + 1983. What is r(-991)?
1
Let a(c) = -50*c**2 - 34*c + 2925. Give a(-8).
-3
Let y(i) = 2*i**3 + 507*i**2 - 11523*i - 123. Give y(21).
3
Let n(h) = -45487*h + 409421. What is n(9)?
38
Let m(o) = 93*o**2 + 52480*o + 15786. Calculate m(-564).
-6
Let w(d) = -2*d**2 - 1700*d - 18572. What is w(-11)?
-114
Let s(r) = -r**3 - 30*r**2 - 213*r + 54. What is s(-14)?
-100
Let x(k) = -21123*k - 316836. Determine x(-15).
9
Let f(n) = -66*n**2 - 714*n - 532. What is f(-10)?
8
Let l(j) = 13902*j - 180727. Determine l(13).
-1
Let j(d) = -2806*d - 168363. Give j(-60).
-3
Let a(o) = 74*o - 2702. Calculate a(46).
702
Let r(d) = 1901*d - 26621. Determine r(14).
-7
Let o(g) = -62*g**2 + 70817*g - 70819. Calculate o(1).
-64
Let s(u) = -u**3 + 26*u**2 + 89*u - 460. Determine s(28).
464
Let b(k) = 4660*k + 610474. Give b(-131).
14
Let n(j) = 295*j + 6063. Calculate n(-20).
163
Let h(i) = -4593*i**2 - 41633*i - 2662. Determine h(-9).
2
Let d(f) = 59*f + 844. Give d(-16).
-100
Let i(z) = 7*z**2 + 4098*z - 8171. Give i(2).
53
Let x(l) = -l**2 - 3*l + 3480. Give x(55).
290
Let n(g) = 8273*g + 446712. What is n(-54)?
-30
Let j(r) = -25*r - 895. What is j(-29)?
-170
Let p(t) = 1705*t + 10264. Calculate p(-6).
34
Let d(p) = -2754*p - 380073. Determine d(-138).
-21
Let v(n) = -n**3 + 118*n**2 - 142*n + 2685. Determine v(117).
-240
Let j(i) = 19969*i + 239733. Determine j(-12).
105
Let m(o) = 53*o**3 - 2226*o**2 + o + 26. What is m(42)?
68
Let y(n) = 6040*n - 132537. Determine y(22).
343
Let u(c) = -22*c**3 + 376*c**2 - 689*c + 24. Determine u(15).
39
Let l(d) = -40*d - 639. Determine l(-34).
721
Let x(m) = 1254*m + 35055. Give x(-28).
-57
Let q(x) = 423*x + 2904. What is q(-8)?
-480
Let j(u) = 900147*u - 8101317. Calculate j(9).
6
Let a(l) = -7*l**2 - 706*l + 5587. Determine a(8).
-509
Let u(v) = -5*v**2 - 770*v - 3746. Give u(-150).
-746
Let f(z) = -11*z**2 + 4609*z + 56903. What is f(-12)?
11
Let z(i) = 97*i**2 + 2370*i + 375. Determine z(-25).
1750
Let m(k) = -163*k - 2299. Give m(-14).
-17
Let c(k) = -k**3 - 56*k**2 + 563*k - 856. Calculate c(7).
-2
Let x(p) = -5918*p - 88769. Determine x(-15).
1
Let c(j) = -2169*j - 10807. Determine c(-5).
38
Let q(z) = -z**2 - 2014*z - 521240. Calculate q(-305).
5
Let v(f) = -f**3 + 27*f**2 - 127*f - 195. What is v(23)?
-1000
Let o(z) = 3*z**3 + 123*z**2 - 93*z + 109. Give o(-42).
-1277
Let d(f) = f**2 + 61*f - 5701. Give d(-102).
-1519
Let o(m) = 63924*m - 255730. Determine o(4).
-34
Let s(i) = 4*i**3 + 857*i**2 + 195*i - 4095. Calculate s(-214).
-29
Let z(l) = -4*l**2 + 19*l - 53. Determine z(17).
-886
Let k(j) = -j**2 - 852*j - 133077. Calculate k(-206).
-1
Let j(n) = n**3 - 706*n**2 + 109967*n + 470. What is j(474)?
-4
Let a(n) = -n**3 + 23*n**2 + 23*n + 44. Calculate a(12).
1904
Let w(k) = -84*k**2 + 678*k - 1523. Give w(4).
-155
Let t(q) = 572440*q - 4007090. Give t(7).
-10
Let p(r) = 295*r**2 + 2995*r - 2994. Calculate p(1).
296
Let w(r) = 602*r + 132021. Calculate w(-219).
183
Let w(z) = z**3 + 41*z**2 + 285*z + 1504. Determine w(-34).
-94
Let z(o) = -238*o - 26797. Calculate z(-112).
-141
Let w(j) = 191*j**3 - 7*j - 16. Calculate w(-2).
-1530
Let l(v) = 58*v**2 + 347*v - 116. What is l(-7)?
297
Let f(y) = -y**2 - 170530*y - 1364223. Calculate f(-8).
-47
Let r(x) = 387*x - 2347. Determine r(5).
-412
Let y(d) = -8910*d - 62378. Determine y(-7).
-8
Let r(q) = q**2 - 104*q - 6754. Calculate r(151).
343
Let n(d) = -d**3 + 212*d**2 - 874*d + 163. Determine n(4).
-5
Let f(v) = v**3 + 180*v**2 + 177*v - 273. Determine f(-179).
85
Let n(o) = -16*o**2 - 697*o - 5723. What is n(-11)?
8
Let k(f) = 27*f**2 - 166*f - 701. Give k(-4).
395
Let d(t) = -1873*t - 247236. Give d(-132).
0
Let x(y) = -7*y**2 + 44*y - 1563. What is x(22)?
-3983
Let i(z) = -11*z**3 - 278*z**2 - 171*z - 2639. Give i(-25).
-239
Let q(f) = f**3 - 126*f**2 + 623*f - 2056. What is q(121)?
122
Let x(t) = -t**2 + 651*t + 66759. Calculate x(-90).
69
Let o(l) = l**2 - 264*l + 6603. Determine o(236).
-5
Let o(r) = r**3 + 17*r**2 - 60*r + 317. What is o(-21)?
-187
Let p(z) = 13352*z + 1602231. Determine p(-120).
-9
Let i(u) = -2790*u + 203527. Calculate i(73).
-143
Let u(m) = 1795*m - 25130. Give u(14).
0
Let q(v) = -200*v + 26682. Determine q(136).
-518
Let z(a) = -9528*a + 190554. Calculate z(20).
-6
Let g(h) = h**3 + 263*h**2 + 3247*h - 17. What is g(-13)?
22
Let i(c) = 2*c**2 - 259*c + 6479. Determine i(97).
174
Let g(s) = -2606*s - 638464. Give g(-245).
6
Let q(t) = -1255*t - 12391. What is q(-10)?
159
Let u(l) = 159*l - 5541. Determine u(38).
501
Let b(j) = j**3 - 10*j**2 + 154*j - 2005. What is b(12)?
131
Let f(o) = 390*o + 7448. Give f(-19).
38
Let s(g) = 2*g**3 + 269*g**2 + 8568*g - 632. Calculate s(-52).
-8
Let n(h) = -2*h**3 + 83*h**2 - 2223*h + 95144. Determine n(42).
14
Let v(w) = -2*w**3 - 77*w**2 + 35*w - 167. Give v(-39).
-11
Let r(p) = p**3 + 64*p**2 + 405*p + 696. Calculate r(-57).
354
Let c(t) = -6885*t**2 + 55059*t + 11. What is c(8)?
-157
Let s(d) = 3005*d + 5583263. Give s(-1858).
-27
Let c(h) = 10*h**3 - 193*h**2 + 297*h - 1137. Give c(18).
-3
Let z(a) = 3*a**3 - 2*a**2 - 1358*a - 4058. What is z(-3)?
-83
Let q(z) = 431*z - 27459. Calculate q(64).
125
Let l(a) = -2613*a**2 - 13027*a + 3. Determine l(-5).
-187
Let w(u) = 23*u**2 - 27*u - 229. What is w(-7)?
1087
Let w(p) = 26*p**3 - 394*p**2 + 55*p + 35. Determine w(15).
-40
Let g(f) = 3233*f + 17657. Determine g(-5).
1492
Let l(h) = -8778*h - 182035. Calculate l(-21).
2303
Let k(d) = 46671*d + 373355. What is k(-8)?
-13
Let j(d) = 2216*d - 29959. What is j(13)?
-1151
Let x(i) = 65*i - 46468. What is x(715)?
7
Let p(q) = 2*q**3 + 211*q**2 + 290*q + 19436. Determine p(-105).
11
Let f(q) = 758809*q - 6070485. What is f(8)?
-13
Let x(r) = 3*r**2 + 486*r + 1402. Calculate x(-159).
-29
Let d(n) = -15*n**2 - 1868*n + 208. Calculate d(-125).
-667
Let n(m) = -296*m**2 - 2598*m + 19. Calculate n(-9).
-575
Let | {
"pile_set_name": "DM Mathematics"
} |
.21. Let p = -186 + 190. Let q be ((-24)/90)/(-2) - 1/(-5). What is the third biggest value in p, q, -3/4, a?
-3/4
Let y = -4103.4 + 4103. What is the smallest value in y, 10, -0.017?
y
Let v = -1352 + 901. Let t = 459 + v. Which is the second biggest value? (a) t (b) 1 (c) 1/5 (d) -4
b
Let v = 710.678 - 1.678. Let u = -710.9 + v. What is the smallest value in u, 0.1, 0?
u
Let w = -1.75 - 72.15. Let i = w + 77. Which is the third smallest value? (a) 5/6 (b) i (c) -1
b
Let i = 69/1640 - -17/205. Which is the smallest value? (a) 9.3 (b) 1 (c) i
c
Let z = -1703 - -1699.852. Let d = z + 0.148. What is the smallest value in 5, -0.1, d, 7?
d
Let i = 131 - 128. What is the third biggest value in 1, 46, i?
1
Let j(z) = z**2 + 129*z + 4125. Let q be j(-69). What is the third smallest value in 5, -1/5, q?
5
Let f(q) = -q**3 + 2*q**2 + 3*q - 1. Let u be f(3). Let v = 53266 - 53270. What is the biggest value in -0.7, v, u?
-0.7
Suppose -4*s - s - 4*j + 41 = 0, -j = -4*s + 37. Let t = s - 21/2. Which is the smallest value? (a) -10 (b) -9 (c) t
a
Let z = 8.75102 + 0.21198. Let p = 0.037 + z. Let r = p + -12. Which is the second biggest value? (a) -2 (b) r (c) -3/7 (d) 0
c
Let u = -20832 + 20806. What is the second smallest value in u, -1, 104?
-1
Let t = 8.98 + -5.98. Let m be (-92)/(-23) + 76/(-18). Which is the third smallest value? (a) -2/23 (b) -5 (c) t (d) m
a
Suppose 4*c - 7 = 3*d, -586*c + 582*c - d = 13. Let f = 1.4 + -1.05. Let b = -0.05 - f. What is the third biggest value in b, c, 0.2?
c
Let x = -0.0279 + 392.0279. Let d = 392.2 - x. Let l be (0 - -2)*(-3)/(-18). What is the third smallest value in 0, -1, l, d?
d
Let o = 204 - 204.194. Let x = -4.194 - o. What is the smallest value in 0.2, -0.5, x, 2/5?
x
Let p be (-7)/24*282/(-21) + -4. What is the fourth biggest value in 0.2, p, -2, -27?
-27
Let j = -3521 + 3747. What is the biggest value in -0.2, 0.01, j?
j
Let l = -1.89 + 2.89. Let h = -74 - -52. Let r = -24 - h. Which is the second smallest value? (a) -1.7 (b) -1/9 (c) l (d) r
a
Let j = -34.3 + 34. Let c = -70 + 63. Let p = -6.5 - c. What is the third biggest value in j, 0.3, -12, p?
j
Let w = 0 - 0.5. Let b = -72.8 - 255.2. Let n = b + 328.6. What is the second smallest value in w, n, 2?
n
Let j = 1544.97 + -1545. Let r = 40.04 + -41. Let s = r + -0.04. What is the third biggest value in s, j, -3?
-3
Let k be -2*(-2)/(-30) - 33*408/2295. What is the third biggest value in 12, 4/3, 2/5, k?
2/5
Let j = -739 + 741. Which is the fifth biggest value? (a) j (b) 0.2 (c) -197 (d) -2/5 (e) -4
c
Let r be 21/(-3) - (-7 + (-2732)/14784). Let o = r + -1/336. Let w = 0.1 - 0. What is the fourth biggest value in w, 4, -1/4, o?
-1/4
Let y(d) = d**2 + 3*d. Let h be y(-3). Suppose -o + 35 = -2*o + 4*k, -o + 5*k - 37 = h. Which is the smallest value? (a) o (b) -2/5 (c) 4/3
a
Let z = -5486 - -109721/20. What is the fifth smallest value in 3, 1/7, 1, -1, z?
3
Let f = -20 + -56. Let m = -85 - f. Which is the biggest value? (a) m (b) -4 (c) 0.09
c
Let s = -14362.001 + 14362. Which is the third biggest value? (a) 0.4 (b) -0.2 (c) s
b
Let v = -674.1 - -674.4. Let y(f) = -f**3 + f**2 + 5. Let o be y(0). Which is the second smallest value? (a) o (b) -4/3 (c) 2/5 (d) v
d
Let l = -2 + -1. Let w be 560/245 + 4/(-2). What is the second biggest value in w, 2, l, 35?
2
Let h = 26.2 + -25.7. Let v = 309 - 310. Which is the fourth smallest value? (a) h (b) v (c) -0.5 (d) 0.6
d
Let b = 22220 + -22220. Let w = -1.4 - -0.4. What is the fourth biggest value in 4, b, -4, w?
-4
Let a = -1317.5 - -1317. Let l be (2/(-8))/((-132)/(-16)). What is the fourth smallest value in 3, a, -12, l?
3
Let u = -5080/287 + 714/41. What is the smallest value in 4, -2, -3, u?
-3
Let x = 9.8 - -55.2. What is the second biggest value in 2, -20, x?
2
Let i = -27324.6 - -27325. Which is the second smallest value? (a) 1.4 (b) i (c) -0.4 (d) 1.16 (e) -1/4
e
Let r = 3258 + -3271. Which is the fourth biggest value? (a) r (b) 3 (c) 0.2 (d) -0.1 (e) -5
e
Let j(v) = v**2 + 40*v + 72. Let n be j(-38). Let l = -291.49 - -290. Which is the second biggest value? (a) l (b) n (c) 4
a
Let x = 150.79 - 151.09. What is the third biggest value in -0.07, 0.06, x, -73?
x
Suppose -45*q - 71 = 199. Let u be -9*q/(-432)*6. What is the second biggest value in 9, -14/3, u?
u
Let z(c) = 27*c**3 + 2*c + 1. Let l be z(-1). Let w be l - -24 - (-4)/2. Let o be 1/(4/6 - -1). What is the smallest value in o, 1/3, w, 1?
w
Let h = -0.2 + 0.4. Let t be -26 + 1368/38 + -14. What is the third smallest value in h, -0.03, t, -2/7?
-0.03
Let t = -11 - -10.961. Let z = t - 0.261. Let u = 60 - 65. Which is the second smallest value? (a) u (b) 1/7 (c) z
c
Let s = -612.6 + 684. Let j = s - 1.4. Let x = j - 68. What is the second biggest value in -2/21, -0.4, -1/2, x?
-2/21
Let n = 25 - 28. Let o(d) = -d**3 - 5*d**2 - 5*d - 3. Let t be o(n). Let i be t/4 - (-2 + 0). What is the third smallest value in 0.1, -4, i?
i
Suppose -10*r + 4*n - 8 = -9*r, -2*n - 26 = 2*r. Which is the third biggest value? (a) 4 (b) r (c) 16
b
Suppose -3*g + 74 - 65 = -3*w, -2*g = 4*w + 6. Which is the second biggest value? (a) 81.9 (b) 4 (c) g (d) -0.2
b
Let l = -1/562 + 851/4496. Which is the second smallest value? (a) -2 (b) -2/201 (c) l
b
Let i = -0.8669 + 0.7669. Suppose 0 = -5*s + 2*s + 6. Let t be 1/(1/s*1). Which is the third biggest value? (a) t (b) i (c) -3/5
c
Let f be 69/(460/20) - 21/9. Which is the biggest value? (a) f (b) -4 (c) -0.2 (d) -0.4 (e) -457
a
Let o = -94 + 44. Let h be o/15*12/(-10). Suppose 0 = 5*w + 5*i - 30, h*w = -0*w - 2*i + 22. What is the second biggest value in w, -3, 2/7, 0.1?
2/7
Let c be (-3)/(2 + -11)*-9*(-9)/(-54). What is the biggest value in 7, c, 0.202, -1/8?
7
Let y be 25766/(-156)*14/(-21). Suppose 145 = b + 35. Let l = y - b. What is the third smallest value in -2, 0.3, l?
0.3
Let g = -15781.6 - -15783.2. Let t = 217/5 - 44. Which is the biggest value? (a) t (b) -4 (c) g
c
Let w = 3225 + -3196. What is the second biggest value in 0.5, 13, w?
13
Let t(q) = 2*q**3 - 23*q**2 - 38*q + 41. Let u be t(13). Let m = 326 - 1957/6. Which is the smallest value? (a) m (b) u (c) 5
a
Let m = 24727/2 - 12364. Which is the second biggest value? (a) 0.2 (b) -3/2 (c) m (d) -0.9
c
Let q = -9 + 12. Let s = -145 - -82. Let n be (5/(-7) + 1)/((-72)/s). What is the third biggest value in q, n, 1/2, -2/11?
n
Let h(w) = w**3 - 78*w**2 - 167*w + 563. Let o be h(80). What is the second smallest value in o, -2/13, -0.2, 0.5?
-2/13
Let u = 3023 - 3031. Which is the third smallest value? (a) 0.3 (b) 3/7 (c) 0.2 (d) u
a
Let x = -35 + 24. Let p be 4 + 42/x + 108/(-110). Let a = -2.9 + -0.1. What is the smallest value in 0, 4/7, p, a?
a
Let t = -14822/13 + 1140. Which is the biggest value? (a) 2/9 (b) t (c) -568 (d) -1/4
a
Let w = 0.2 + -0.16. Let p = 0.207325 - 0.607325. Which is the smallest value? (a) 1 (b) w (c) 2 (d) p
d
Suppose l - 6 = 3*t, l + 5*t - 4*t - 6 = 0. Suppose 4*p + 5*s = 8*s - l, 2*p + 4*s = -14. Which is the second biggest value? (a) 3/5 (b) -11 (c) p
c
Let f = -92689/6 + 15658. Let y = f + -210. What is the third smallest value in -3, y, -0.5, -5?
-0.5
Let d = 778.1 + -778. What is the third smallest value in -1/108, 0.15, d?
0.15
Let q = 5524 + -5560. What is the third smallest value in 2, q, 99?
99
Let r = 23.9 + -139.9. Let o = -107 - r. What is the biggest value in o, -2, -1, -2/7?
o
Let p = 1975 + -1976.5. Which is the biggest value? (a) 0.4 (b) -1 (c) p
a
Suppose 171*z = 2*t + 169*z - 7456, z = -t + 3730. Which is the second smallest value? (a) -1 (b) t (c) 1/3
c
Let o = -23650 - -23651. What is the second biggest value in o, 2/9157, -2?
2/9157
Let q = -31.1 - -31. Let v = -6.4 - 61.6. Let h = v - -66. What is the second smallest value in -2/5, h, q?
-2/5
Let p = -15 - -31/2. Let k = -0.0477 - -0.6217. Let f = k + -0.474. What is the smallest value in 4, 3/4, p, f?
f
Suppose -5*q = 2*o + 5, 9*o = 14*o + 5*q + 5. Which is the biggest value? (a) -0.2 (b) -0.3 (c) o (d) 0.5
d
Let y = 3337 - 3333. Which is the fourth smallest value? (a) 2/5 (b) -1/4 (c) 8 (d) 2/3 (e) y
e
Let j = 11 + -11.5. Suppose 0 = w - 5*w - 47 | {
"pile_set_name": "DM Mathematics"
} |
= 2*p - p**2 + 2 + 2*p**2 - 4. Let h be 4/(-4)*(-3)/1. What is h*l(v) + 2*u(v)?
-v**2
Let z(u) = -2*u - 10. Let a(x) = 1. Let h = 2 - 1. Calculate h*z(c) + 10*a(c).
-2*c
Let o(f) = 2*f**2 - 3*f - 4. Let i(a) = -2*a**2 + 4*a + 5. Let m(r) = 2*r**2 - 12*r + 5. Let g be m(6). What is g*i(c) + 6*o(c)?
2*c**2 + 2*c + 1
Let i(n) = 5*n**2 + n + 2. Let s(t) = 2*t - 8 + 6 + 0*t - 4*t**2 - 3*t. Calculate -2*i(v) - 3*s(v).
2*v**2 + v + 2
Let f(k) = 48*k**3 - 2*k + 6. Let n(u) = -145*u**3 + 6*u - 17. Determine 17*f(j) + 6*n(j).
-54*j**3 + 2*j
Let i be 5 + -1 + (-85)/17. Let y(p) = 2*p**2 + 3*p + 6. Let k(a) = -a - 1. Determine i*y(h) - 5*k(h).
-2*h**2 + 2*h - 1
Let x(l) = l**3 - 15*l**2 + 16*l - 22. Let u be x(14). Let y(r) = -3*r**2. Let o(q) = -2*q**2. Give u*o(s) - 5*y(s).
3*s**2
Let y(j) = 5*j**2 + 3*j + 4. Let f(p) = 14*p**2 + 8*p + 11. Let k(c) = -4*f(c) + 11*y(c). Let l(m) = -m**2 + m. Determine k(h) - 3*l(h).
2*h**2 - 2*h
Let b(j) = j + 4. Let u(d) = d + 5. Let y(m) = -4*b(m) + 3*u(m). Let l(r) = 13*r - 9. Let o(f) = 7*f - 5. Let q(k) = -6*l(k) + 11*o(k). Give -4*q(w) + 5*y(w).
-w - 1
Let d(v) be the second derivative of -v**5/20 + 3*v**4/4 + 7*v**3/6 + 5*v**2/2 + v. Let o(h) = h**3 - 13*h**2 - 10*h - 7. Give 7*d(j) + 5*o(j).
-2*j**3 - 2*j**2 - j
Let m(r) = 15*r + 21. Let p(v) = -8*v - 11. What is -6*m(g) - 11*p(g)?
-2*g - 5
Let k(b) = 15*b**2 - 10*b - 110. Let z(a) = -23*a**2 + 14*a + 165. Let p(i) = -7*k(i) - 5*z(i). Let h(d) = d**2 - 6. Determine 55*h(t) - 6*p(t).
-5*t**2
Let v(u) = u**3 - 2*u + 1. Let m(l) = l**3 - 3*l + 1. Let f(d) = 2*d - 2. Let a be f(-1). Calculate a*m(o) + 6*v(o).
2*o**3 + 2
Suppose -3*g + 21 + 5 = x, 4*x = 3*g + 29. Let b = 11 - 7. Let d(v) = -6*v**2 - 11*v. Let j(q) = 2*q**2 + 4*q. What is b*d(k) + x*j(k)?
-2*k**2
Let l(d) = 3*d + 2. Let h(c) be the second derivative of c**3/6 + 10*c. What is -2*h(f) + l(f)?
f + 2
Let k(h) = -55*h**3 + 65*h**2 - 65*h. Let y(s) = 5*s**3 - 6*s**2 + 6*s. What is 6*k(w) + 65*y(w)?
-5*w**3
Let i(b) = -7*b**3 + 5*b - 10. Let z(p) = -p**3 + p. Calculate -i(h) + 5*z(h).
2*h**3 + 10
Let b = -3 - -5. Let a(o) = 5*o - 2*o - b*o - 6. Let g(w) = w - 7. Calculate -7*a(m) + 6*g(m).
-m
Let l(p) = -p**3 + p**2 + 1. Let j(b) = -7*b**3 - 4*b**2 - 4. What is -j(m) - 4*l(m)?
11*m**3
Let k = 2 - 0. Let j = k + 8. Suppose g + j = -g. Let y(c) = 10*c + 7. Let p(v) = -7*v - 5. Determine g*y(u) - 7*p(u).
-u
Let k(j) = -j**2 + 1. Let u be (20/18)/5 - 212/(-18). Let v(a) = -2*a**3 + 10*a**2 - 12. Determine u*k(x) + v(x).
-2*x**3 - 2*x**2
Let r(f) be the second derivative of 2*f + f**2 + 2/3*f**3 + 0. Suppose -2*p = -0*p + 12. Let s(k) = 7*k + 3. What is p*s(n) + 10*r(n)?
-2*n + 2
Let x(o) = -o. Let r(a) be the first derivative of -3*a**2/2 + 3*a - 11. What is -r(b) + x(b)?
2*b - 3
Let c(a) = -7*a**2 - 4*a. Let f(s) = 6*s**2 + 5*s. Calculate -5*c(j) - 4*f(j).
11*j**2
Suppose -6*l = -l. Suppose 4*x + 14 = -3*h, -3*x + 5*h + 12 = -4*x. Let g be -3 - (l + x)*1. Let r(i) = -i - 2. Let d(j) = j. What is g*r(q) + d(q)?
2*q + 2
Let x(p) = -p**3 + 6*p**2 + 14*p - 19. Let d be x(8). Let m(z) = 50*z**2 + 35*z - 35. Let b(i) = 3*i**2 + 2*i - 2. Give d*b(u) + 2*m(u).
-5*u**2
Let y(m) = -m**3 - 13*m**2 - 13*m - 13. Let a be y(-12). Let q(r) = r + 1. Let n(x) = -x - 5. Calculate a*n(z) - 3*q(z).
-2*z + 2
Let n(l) = 6119*l - 145. Let d(y) = -85*y + 2. Calculate 145*d(a) + 2*n(a).
-87*a
Let b(r) = -7*r + 30*r - 2 - 1. Suppose -4*i + 20 = -0*i. Let k(c) = i - 2*c - 2 - 2 - 6*c. What is -6*b(z) - 17*k(z)?
-2*z + 1
Let o(x) = -2*x**2 + x - 1. Let p be 12/10 - (-2)/(-10). Let n = -4 - -6. Let c(f) = 0*f - f**3 + f + n*f**3 - f**2. What is p*o(l) - 2*c(l)?
-2*l**3 - l - 1
Let o(k) = 2*k**3 + 3. Let m = 17 + -1. Let v(f) = -10*f**3 - 16. Calculate m*o(b) + 3*v(b).
2*b**3
Let u(l) be the third derivative of l**5/60 - l**4/24 - l**3/6 - 18*l**2. Let c(f) = -3*f - 3. What is c(i) - 3*u(i)?
-3*i**2
Let g(d) = -2*d**2 + 8*d. Let h(t) = t**2 - 3*t. Let w be -18 - (-1 - 5 - -3). Let m be ((-10)/w)/((-3)/36). Suppose 0 = b + 2 + 1. Calculate b*g(f) + m*h(f).
-2*f**2
Let w(m) be the third derivative of m**4/4 + m**3/2 + m**2. Let l be (8/6)/(2/(-6)). Let s(k) = 4 + 1 - 7 - 5*k. Give l*w(a) - 5*s(a).
a - 2
Suppose -2*d - 8 = 2*m, 3*m = 2*m + 3*d + 16. Let a(k) = -4 - m + 6 - k. Suppose -16 = -4*r, -f + r - 9 = -6*f. Let b(t) = t - 3. Calculate f*b(v) + 3*a(v).
-2*v
Let u(l) = -3*l**3 - 4*l**2 - l. Let q(a) = -a**2. Determine 3*q(o) - u(o).
3*o**3 + o**2 + o
Let d(r) = 5*r**3 - 11*r**2 - 13. Let b(n) = -3*n**3 + 6*n**2 + 7. Determine 11*b(h) + 6*d(h).
-3*h**3 - 1
Let r(o) be the second derivative of o**3/6 - o**2/2 - 3*o. Let k(n) be the third derivative of n**5/60 + 5*n**4/24 - 5*n**3/6 + n**2. Determine k(z) - 5*r(z).
z**2
Let l(i) = -5*i + i - 2*i**2 + 3*i + 5. Let j(g) = -4*g**2 - 2*g + 11. Let y(c) = -3*c - 2. Let s be (4/(-10))/(1/5). Let n be y(s). Determine n*j(p) - 9*l(p).
2*p**2 + p - 1
Let a(q) = -q. Let b(k) = k**3 - 25*k**2 + 24*k - 1. Let h be b(24). Let y(f) = -3*f. Suppose -5*t = 5 - 25. Determine h*y(r) + t*a(r).
-r
Let l(g) = 1. Let i be 9/(0 - 1/1). Let z(f) = f**2 + 8*f - 4. Let t be z(i). Let h(c) = -2*c + 5. Determine t*l(n) - h(n).
2*n
Let l(c) = -6*c + 2. Let p(a) = 5*a - 2. Determine 3*l(u) + 2*p(u).
-8*u + 2
Let h(r) = 7*r + 1. Let i(x) = 6*x + 2. What is 3*h(o) - 2*i(o)?
9*o - 1
Suppose 5*v - 4 = 6. Let q(w) = 0*w - 6*w + 0*w**2 + 4*w**v + 0*w + 6. Let m(p) = -8 - 2*p**2 - 3 - 5*p**2 + 11*p. What is 6*m(f) + 11*q(f)?
2*f**2
Let h(v) = -2*v**3 - 2*v + 5. Suppose 0 = w - 4*j - 4, -2 = -3*w - 5*j - 7. Let m(z) = -1 + 2*z + 0 + w*z**3 - z + z**3. Calculate -h(o) - 3*m(o).
-o**3 - o - 2
Let i(y) = -6*y - 2. Let m = -37 - -33. Let s(k) = 17*k + 5. Determine m*s(l) - 11*i(l).
-2*l + 2
Let r(k) = k**2 + 8. Suppose 7*h = -148 + 50. Let n(x) = -1. What is h*n(m) - 2*r(m)?
-2*m**2 - 2
Let b(a) = -a**2 + a + 1. Let o(i) = 2*i**2 - 3*i - 1. What is -5*b(l) - 2*o(l)?
l**2 + l - 3
Let b(r) be the first derivative of 1/2*r**2 - 3 + 3*r - 2/3*r**3. Let j(p) = 5*p**2 - 2*p - 7. Determine 7*b(a) + 3*j(a).
a**2 + a
Let v(m) = -m + 1. Let j(s) = s**2 + 2*s + 1. Determine j(c) + v(c).
c**2 + c + 2
Let j be (-6)/(-5)*((-270)/(-4))/9. Let y(u) = 7*u - 7. Let w(a) = -3*a + 3. Determine j*w(k) + 4*y(k).
k - 1
Let j be ((-3)/(-3))/((-1)/5). Let o(h) be the third derivative of -h**4/12 - h**3/3 - 3*h**2. Let v(b) = 0 - 2 - 2*b + 0. Calculate j*o(a) + 6*v(a).
-2*a - 2
Let u(p) = p + 1. Let n(x) = 13*x + 14. Let m(o) = 2*n(o) - 22*u(o). Let w(q) = 3*q + 5. Give 4*m(c) - 5*w(c).
c - 1
Let k(b) = b + 1. Let n(i) = 2*i**3 + i**2 - 4*i - 6. Calculate -4*k(w) - n(w).
-2*w**3 - w**2 + 2
Let y(s) = -s**2. Let q(r) = 7*r**2 - 3*r. Determine -q(w) - 6*y(w).
-w**2 + 3*w
Let h(r) = -31*r + 8*r + 13*r + 1 + 11*r. Let i(o) = -4*o - 2. Suppose -m + 3*m - 8 = 3*b, -9 = -3*m + 3*b. What is m*i(d) + 3*h(d)?
-d + 1
Let x(h) = 57*h**2 - 27*h**2 - 26 + 1. Let z(l) = l**2 - 1. Determine x(v) - 25*z(v).
5*v**2
Let y(r) = r + 1. Let k(b) = 16*b + 16. What is -k(d) + 12*y(d)?
-4*d - 4
Let g(f) = 2*f + 3. Let s(t) = -4*t - 7. Let n(k) = 5*g(k) + 2*s(k). Let p(u) = 4*u + 2. Determine -9*n(h) + 4*p(h).
-2*h - 1
Let b(u) = -u**3 - u**2 - u - 1. Let q(x) = -2*x**2 + 13*x - 2. Calculate -2*b(s) + q(s).
2*s**3 + 15*s
Suppose 0 = -6*n + 2*n + 16. Let t = -3 - -9. Suppose -t*u + 3*u + 9 = 0. Let f(i) = -5*i. Let x(l) = 6*l. What is n*f(a) + u*x(a)?
-2*a
Let k(d) = -4*d**3 - 6*d**2 - 2*d - 7. Let y(t) = t**2 - 7. Let o be y(3). Let i(x) = x**3 + 2*x**2 + x + 2. What is o*k(q) + 7*i(q)?
-q**3 + 2*q**2 + 3*q
Let b(y) = -9*y + 4. Let l = -60 - -59. Let a(f) = -f + 1. Calculate l*b(m) + 5*a(m).
4*m + 1
Let j(l) = -2*l**2 - 5*l**3 + 10 + 12*l**2 + 7*l**3 + 2*l**3. Let q(r) = -r**3 - 3*r**2 - 3. Determine -6*j(o) - 20*q(o).
-4*o**3
Let h(k) = k**2 - 4*k + 4. Let o(y) = -11*y + 3. Let s(u) = -7*u + 2. Let z(m) = -5*o(m) + 8*s(m). What is h(q) - 5*z(q)?
q**2 + q - 1
Let k(o) = 6*o**2 - 5*o - 2. Suppose 3*s = -2*t + 14, -4*s = -3 - 5. Let m(g) = 3*g - 5*g + 5*g + 3*g - 7*g**2 + 2. What is t*m(i) + 5*k(i)?
2*i**2 - i - 2
Let j(s) = -4*s**2 - 3*s + 10. Let y(i) = -i**2 - i + 1. Give j(d) - 2*y(d).
-2*d**2 - d + 8
Let i be ((-36)/6)/(-6) - (-4)/(-2). Let t(u) = 2*u**3 - 3*u**2 - 4*u + 4. L | {
"pile_set_name": "DM Mathematics"
} |
reatest common divisor of 2912604 and 5111562.
5802
Calculate the highest common factor of 61971618 and 38379.
3489
Calculate the highest common divisor of 348 and 88156868.
116
Calculate the greatest common divisor of 27987354 and 72.
18
Calculate the highest common factor of 5357592 and 8352.
72
Calculate the highest common divisor of 609808 and 8208.
16
What is the highest common factor of 2950287347 and 3199?
3199
Calculate the highest common factor of 84 and 1552923260.
28
Calculate the highest common divisor of 59595 and 686370.
2055
What is the greatest common factor of 29388 and 2010288?
372
Calculate the highest common divisor of 216 and 24049710.
54
Calculate the highest common factor of 25220442 and 1092.
78
What is the greatest common factor of 36110 and 2761610?
230
What is the highest common factor of 2663334 and 744?
186
Calculate the greatest common factor of 361176 and 91188.
1788
Calculate the greatest common divisor of 1472277 and 48117.
129
Calculate the highest common divisor of 155674 and 45982.
554
What is the highest common divisor of 35168600 and 4300?
100
Calculate the highest common factor of 11913 and 1803461.
209
Calculate the greatest common factor of 16272 and 26181.
9
Calculate the greatest common divisor of 953150 and 71053.
1733
Calculate the highest common factor of 43708 and 256466.
98
Calculate the greatest common factor of 29330392 and 5369.
91
Calculate the greatest common factor of 995907 and 622017.
3399
What is the greatest common factor of 78977030 and 528?
22
What is the greatest common divisor of 10871 and 133?
7
Calculate the highest common divisor of 37502 and 10370.
34
Calculate the greatest common factor of 167552 and 201960.
1496
Calculate the greatest common divisor of 507465 and 2854845.
2835
Calculate the highest common factor of 445 and 258310.
5
Calculate the highest common factor of 64 and 11489744.
16
Calculate the greatest common factor of 25021692 and 936.
36
Calculate the highest common factor of 23180 and 3627252.
76
Calculate the highest common divisor of 417 and 10607507.
139
Calculate the greatest common factor of 263902836 and 488.
244
What is the highest common factor of 347 and 24387507?
347
Calculate the greatest common factor of 14529151 and 152425.
6097
What is the highest common divisor of 517693 and 349257?
2477
Calculate the highest common factor of 1589 and 12982357.
227
What is the highest common factor of 46756995 and 75?
15
Calculate the highest common divisor of 247821 and 77.
7
Calculate the greatest common factor of 9894 and 139332.
102
What is the greatest common factor of 663052 and 31980?
2132
Calculate the greatest common divisor of 9315 and 2483540.
115
Calculate the highest common factor of 38052 and 389127.
453
Calculate the highest common factor of 146800227 and 196.
49
Calculate the highest common divisor of 8150365 and 6200.
155
What is the greatest common divisor of 28012602 and 120?
6
What is the greatest common factor of 26485 and 12612157?
5297
What is the greatest common divisor of 37164 and 75212?
4
What is the highest common factor of 20 and 261925860?
20
Calculate the greatest common divisor of 57036 and 40446.
42
What is the highest common factor of 106176879 and 81?
27
Calculate the highest common divisor of 1362 and 22648471.
227
Calculate the greatest common factor of 1379667 and 26865.
597
What is the greatest common factor of 4510335 and 303711?
4533
What is the highest common divisor of 211667408 and 8?
8
What is the highest common divisor of 1970534688 and 912?
912
What is the greatest common divisor of 882 and 110439?
63
Calculate the highest common divisor of 85714760 and 60.
20
What is the highest common divisor of 17117964 and 423?
423
Calculate the highest common divisor of 396421300 and 2900.
2900
Calculate the greatest common factor of 194370783 and 1371.
1371
Calculate the greatest common factor of 20099782 and 1016.
254
What is the greatest common divisor of 3737 and 560143?
37
Calculate the highest common factor of 60085410 and 1036.
518
Calculate the highest common factor of 1178 and 225810510.
62
What is the highest common divisor of 103014 and 5319?
9
Calculate the greatest common factor of 308 and 3107468.
28
What is the greatest common factor of 711 and 1513603818?
711
Calculate the highest common factor of 83079380 and 9920.
620
What is the greatest common divisor of 352432854 and 126?
18
Calculate the highest common factor of 30475 and 35250300.
1325
What is the highest common factor of 41785589 and 89?
89
Calculate the greatest common divisor of 991632 and 1908552.
6792
Calculate the highest common factor of 1037 and 182720437.
1037
What is the greatest common factor of 350076777 and 87?
87
Calculate the greatest common divisor of 89223440 and 46.
46
What is the greatest common divisor of 2153598 and 14442?
174
What is the highest common divisor of 230116 and 1828?
4
What is the greatest common factor of 36 and 54802161?
9
What is the greatest common factor of 2709 and 2607993?
387
Calculate the highest common divisor of 73442499 and 52.
13
Calculate the greatest common divisor of 347903347 and 33.
11
Calculate the greatest common factor of 16218 and 374238.
306
What is the greatest common divisor of 55081 and 109385068?
2899
What is the highest common factor of 58464 and 74242?
14
Calculate the greatest common factor of 504 and 48485654.
14
Calculate the highest common divisor of 3589 and 16199.
97
Calculate the greatest common divisor of 15221474 and 10809.
1201
Calculate the greatest common factor of 55753179 and 3399.
309
Calculate the greatest common factor of 16986 and 6544080.
894
Calculate the highest common factor of 5088257 and 2489.
19
What is the greatest common factor of 624 and 62057073?
39
What is the greatest common divisor of 735 and 3853899?
147
Calculate the greatest common factor of 32144 and 2256968.
2296
Calculate the highest common divisor of 7826 and 248794.
182
What is the highest common factor of 3452779 and 1012?
11
Calculate the highest common factor of 3394160 and 16940.
1540
What is the highest common divisor of 5974 and 20523677?
2987
What is the highest common factor of 1414 and 9223118?
202
Calculate the greatest common divisor of 44858023 and 4681.
4681
What is the greatest common divisor of 69257384 and 3976?
56
What is the highest common factor of 6008683 and 59677?
719
What is the highest common divisor of 540 and 455505390?
270
Calculate the greatest common factor of 3393008 and 294026.
2602
Calculate the greatest common factor of 885 and 2736630.
15
Calculate the greatest common divisor of 286192 and 372.
124
What is the highest common divisor of 18834 and 130935?
129
Calculate the highest common factor of 608992 and 10.
2
Calculate the highest common divisor of 69666 and 14265138.
4098
What is the greatest common divisor of 2820180 and 2376?
132
Calculate the greatest common divisor of 84444 and 534.
6
What is the highest common divisor of 22771908 and 34?
34
What is the greatest common divisor of 789 and 206180691?
789
What is the highest common factor of 4725708 and 20917?
13
What is the highest common divisor of 109995479 and 2761?
2761
What is the highest common divisor of 30722649 and 804?
201
Calculate the greatest common factor of 11861070 and 11310.
390
What is the greatest common factor of 184900770 and 8136?
2034
What is the highest common factor of 98 and 27290?
2
What is the highest common divisor of 49268 and 1093052?
436
What is the greatest common factor of 3244795 and 2373?
113
Calculate the highest common divisor of 27 and 6046792452.
27
What is the greatest common factor of 129766 and 181286?
322
What is the highest common factor of 34049106 and 2786?
14
What is the greatest common divisor of 25745123 and 6?
1
Calculate the greatest common factor of 348777 and 683462.
3523
What is the highest common divisor of 106714 and 181826?
458
Calculate the greatest common divisor of 9213 and 1401621.
249
What is the greatest common divisor of 294 and 2008498044?
294
What is the highest common divisor of 4678012 and 17404?
916
Calculate the highest common divisor of 7419820 and 1727.
157
Calculate the greatest common divisor of 780 and 325472030.
130
Calculate the highes | {
"pile_set_name": "DM Mathematics"
} |
1863?
81
What is the highest common divisor of 5 and 1255?
5
Calculate the greatest common factor of 112 and 392.
56
Calculate the greatest common factor of 697 and 1025.
41
What is the highest common divisor of 285 and 1520?
95
What is the highest common divisor of 114 and 18?
6
What is the greatest common divisor of 119 and 21?
7
Calculate the highest common factor of 5 and 10.
5
What is the highest common divisor of 288 and 9?
9
What is the greatest common factor of 30 and 5286?
6
Calculate the highest common factor of 637 and 52.
13
What is the highest common factor of 3484 and 156?
52
What is the highest common factor of 750 and 30?
30
What is the greatest common factor of 11968 and 170?
34
What is the highest common factor of 112 and 42?
14
What is the highest common factor of 192 and 416?
32
What is the highest common divisor of 100 and 1050?
50
Calculate the greatest common factor of 90 and 570.
30
Calculate the greatest common divisor of 406 and 196.
14
What is the highest common factor of 326 and 163?
163
What is the greatest common divisor of 154 and 868?
14
What is the highest common factor of 759 and 2760?
69
What is the greatest common factor of 473 and 301?
43
What is the highest common divisor of 121 and 11?
11
What is the greatest common factor of 2252 and 4?
4
What is the highest common divisor of 74 and 2590?
74
What is the highest common factor of 1717 and 238?
17
What is the greatest common factor of 192 and 1424?
16
What is the greatest common divisor of 689 and 260?
13
What is the greatest common factor of 810 and 45?
45
What is the greatest common factor of 267 and 9?
3
Calculate the highest common factor of 1001 and 99.
11
Calculate the highest common divisor of 42 and 4431.
21
Calculate the highest common factor of 720 and 450.
90
What is the greatest common divisor of 152 and 874?
38
What is the highest common factor of 24 and 138?
6
What is the greatest common factor of 55 and 1375?
55
Calculate the highest common factor of 144 and 16.
16
Calculate the greatest common divisor of 300 and 36.
12
What is the greatest common factor of 13 and 481?
13
Calculate the greatest common divisor of 117 and 18.
9
Calculate the highest common divisor of 12 and 36492.
12
What is the highest common divisor of 3653 and 117?
13
What is the greatest common factor of 6004 and 152?
76
What is the greatest common divisor of 465 and 5394?
93
What is the greatest common factor of 24310 and 561?
187
What is the greatest common factor of 69 and 621?
69
Calculate the greatest common divisor of 23978 and 38.
38
Calculate the greatest common divisor of 114 and 15.
3
What is the greatest common divisor of 2466 and 90?
18
What is the highest common factor of 12 and 1464?
12
Calculate the greatest common divisor of 189 and 7.
7
What is the greatest common factor of 336 and 8112?
48
Calculate the highest common divisor of 384 and 1116.
12
Calculate the highest common factor of 442 and 51.
17
What is the greatest common factor of 4 and 772?
4
Calculate the greatest common factor of 59 and 4012.
59
What is the greatest common divisor of 138 and 1863?
69
Calculate the greatest common divisor of 75 and 700.
25
Calculate the greatest common divisor of 66 and 231.
33
What is the highest common factor of 1793 and 33?
11
Calculate the highest common divisor of 492 and 41.
41
What is the highest common factor of 713 and 31?
31
Calculate the greatest common factor of 561 and 714.
51
Calculate the greatest common divisor of 1376 and 256.
32
Calculate the greatest common factor of 31 and 4.
1
What is the highest common factor of 494 and 338?
26
What is the greatest common factor of 290 and 1170?
10
Calculate the greatest common divisor of 890 and 8544.
178
Calculate the highest common factor of 28 and 308.
28
Calculate the greatest common factor of 94 and 2021.
47
Calculate the greatest common factor of 36 and 225.
9
What is the greatest common divisor of 90 and 4842?
18
What is the highest common factor of 84 and 348?
12
What is the highest common divisor of 385 and 1617?
77
What is the greatest common divisor of 10 and 166?
2
What is the greatest common divisor of 14 and 24094?
14
What is the highest common divisor of 18 and 774?
18
What is the highest common divisor of 42 and 60?
6
Calculate the greatest common factor of 2700 and 648.
108
What is the highest common divisor of 767 and 1003?
59
Calculate the greatest common divisor of 7 and 511.
7
Calculate the greatest common factor of 14 and 196.
14
What is the greatest common factor of 14 and 378?
14
What is the greatest common divisor of 17 and 4760?
17
What is the highest common divisor of 407 and 296?
37
Calculate the greatest common factor of 3724 and 1216.
76
What is the greatest common divisor of 42 and 162?
6
Calculate the highest common divisor of 18512 and 89.
89
What is the highest common divisor of 289 and 493?
17
Calculate the greatest common factor of 2488 and 96.
8
Calculate the highest common divisor of 10 and 530.
10
Calculate the highest common factor of 7 and 1036.
7
What is the greatest common divisor of 10 and 670?
10
What is the highest common factor of 11 and 3?
1
What is the greatest common divisor of 2 and 227?
1
Calculate the greatest common factor of 115 and 207.
23
What is the greatest common divisor of 162 and 90?
18
What is the greatest common factor of 4065 and 15?
15
Calculate the highest common factor of 368 and 64.
16
Calculate the highest common divisor of 7442 and 488.
122
Calculate the highest common factor of 40 and 116.
4
What is the highest common divisor of 20 and 148?
4
What is the greatest common divisor of 33 and 561?
33
What is the highest common factor of 2418 and 31?
31
What is the highest common factor of 208 and 5642?
26
Calculate the highest common factor of 1782 and 132.
66
Calculate the greatest common factor of 27 and 53676.
27
What is the highest common divisor of 320 and 192?
64
Calculate the greatest common factor of 1806 and 129.
129
What is the highest common divisor of 684 and 570?
114
What is the highest common factor of 19 and 171?
19
What is the greatest common factor of 15 and 59835?
15
Calculate the highest common factor of 790 and 1422.
158
Calculate the highest common factor of 42 and 56.
14
What is the greatest common factor of 190 and 6?
2
What is the greatest common divisor of 784 and 112?
112
Calculate the greatest common factor of 209 and 11.
11
What is the highest common divisor of 1010 and 5858?
202
Calculate the greatest common factor of 1035 and 46.
23
Calculate the greatest common divisor of 15659 and 7.
7
What is the greatest common factor of 108 and 1080?
108
What is the greatest common divisor of 105 and 540?
15
What is the highest common divisor of 235 and 5?
5
Calculate the greatest common factor of 175 and 805.
35
Calculate the greatest common factor of 483 and 1554.
21
What is the greatest common factor of 779 and 133?
19
What is the highest common factor of 3478 and 851?
37
Calculate the highest common divisor of 102 and 12.
6
Calculate the highest common divisor of 212 and 583.
53
What is the highest common factor of 49 and 84?
7
Calculate the highest common factor of 16677 and 153.
153
What is the highest common divisor of 286 and 33?
11
Calculate the highest common divisor of 272 and 918.
34
Calculate the highest common factor of 1044 and 108.
36
What is the greatest common factor of 74 and 666?
74
What is the highest common divisor of 62 and 2?
2
Calculate the greatest common factor of 30864 and 48.
48
Calculate the highest common factor of 5202 and 18.
18
Calculate the highest common divisor of 522 and 72.
18
What is the highest common divisor of 376 and 799?
47
Calculate the highest common factor of 16 and 24.
8
Calculate the greatest common factor of 30 and 4890.
30
Calculate the highest common factor of 243 and 1.
1
What is the greatest common divisor of 4 and 4?
4
What is the greatest common divisor of 179 and 88963?
179
Calculate the greatest common divisor of 559 and 65.
13
What is the highest common factor of 55 and 3520?
55
What is the highest common factor of 15 and 35?
5
Calculate the highest common factor of 2224 and 272.
16
What is the greatest common divisor of 12025 and 39?
13
Calculate the greatest co | {
"pile_set_name": "DM Mathematics"
} |
is positive.
k**(305/84)
Simplify ((q**(-4)/q**(-3)*(q**0)**(-8/15))**14)**(-2/29) assuming q is positive.
q**(28/29)
Simplify (o*o*(((o**(10/3)/o)/o)/o)/o*o**(13/2)*o/(o**(-2/13)*o)*o**2)**43 assuming o is positive.
o**(33497/78)
Simplify ((((q/q**(-20)*q)/q**(-30))**(-34))**(36/11))**(-50) assuming q is positive.
q**(3182400/11)
Simplify ((j**(-2)*j**(-6))/((j*j**(1/4)*j)/j**(2/5)))/(j**(-3)/(j/j**(-3/2)))**(2/27) assuming j is positive.
j**(-5099/540)
Simplify ((q*(q*q/(q*q**(-2/5)))/q)**(1/37)*q/(q*q/q**8)*q*q**3*q)**(-4/13) assuming q is positive.
q**(-8908/2405)
Simplify ((((c**(-2/3)*c)/c)/c)/c*c**(-2)*c**(-3)*c*c**1)/(c**(1/3)/c**0*(c/c**4)/((c**3*c)/c)) assuming c is positive.
1
Simplify d**(1/5)/((d**(-1)/d)/d)*(d**(1/2))**46*((d*d**(-2/5))/(((d/d**(-1/6))/d)/d))/(d**0*d/((d/d**(-2/19))/d)*d) assuming d is positive.
d**(14671/570)
Simplify ((q*q*q*q**(-34)*q)/q)**(2/13)/(q/((q*q**(-9/8)*q)/q*q)*q*q**(-9/4)*q) assuming q is positive.
q**(-483/104)
Simplify (((v**(-5/2))**(-46))**(-37))**(-4/39) assuming v is positive.
v**(17020/39)
Simplify (t**(-1)/(t**(2/9)/t))**(-1/14)/((t/(t/t**(-1/3)))**16*(((t/(t/(t**(2/3)/t)))/t*t)/t)**1) assuming t is positive.
t**(421/63)
Simplify (h**(3/4)/(h/(h*h/(h*(h/(h*h**(-3/4)))/h*h))))/(h**0/((h*h**2)/h))*h/h**(-2/7)*h*h**(-2/5)*(h/(h*h*h**(1/2)/h))**32 assuming h is positive.
h**(-424/35)
Simplify (p**(-1/4)/p*p/((p*p**4)/p)*(p**(2/7)/p)**(-4))/(p/(p*p**(2/11))*p**(-1/3)/p*p/p**(-2/9)*p**(-1/5)) assuming p is positive.
p**(-12473/13860)
Simplify y*y/y**(-4/5)*y*y*y**0*y*(y**(-2)*y)/y**(-7)*(((y/(y/y**(-1/3)))/y)/y)/y*y**7/y*(y**(1/3)/y)**(1/2) assuming y is positive.
y**(212/15)
Simplify ((o**5*o*o)**33/(o*o**7*o*o**(-1/19)))**(13/6) assuming o is positive.
o**(54847/114)
Simplify i**(2/11)/((i/((i/(i**(1/11)/i))/i))/i)*(i*i/((i*i/i**(-2/9))/i))**(1/4)*((i*(i**(3/2)*i)/i)**26)**38 assuming i is positive.
i**(978629/396)
Simplify (((k**(-7)/k)/k)/k*k*k**(-3/5)*(k*k**(-1/4)*k)**(-30))/((k**(2/3)/(k**(-2/15)/k))/(k/k**1)**(-2/27)) assuming k is positive.
k**(-639/10)
Simplify ((w**4/(((w*w**18)/w)/w))/(w**7*w)**(-1/81))**(-40) assuming w is positive.
w**(41800/81)
Simplify (q/q**(-1/3)*q)**(-37)/(q**3*q**(-7/5))*((q/q**(-2/7))/q*q)**22/(q/q**1)**(-22) assuming q is positive.
q**(-6263/105)
Simplify (a*a*a*(a*a/(a/(a**(-6/13)/a)))/a)/a**(-8)*(a**(-7))**(2/9) assuming a is positive.
a**(934/117)
Simplify j**(-4)*j*j*j*j/(j/(j/j**(1/6)))*j/((j*j*j**(-7)/j)/j)*(j*j/j**(-4/7))/j*((j**(2/5)*j)/(j*j/j**9*j*j))/(j*j**(1/3))**(-27) assuming j is positive.
j**(10879/210)
Simplify (y**(5/7))**(-39)/(y**(-13/3)*((y/((y**(-43)*y)/y))/y)/y) assuming y is positive.
y**(-1376/21)
Simplify ((q**(-4)*q)**10)**(-1/31)/((q*(q*q*q/q**5)/q*q**0)/(q**(-4)*q/q**(-9))) assuming q is positive.
q**(278/31)
Simplify ((r*r**(-1)*r)**(-43)/(r**1)**(-2/81))/(((r/r**(-1))/r*r**3*r)/(r*r**0)**(-24)) assuming r is positive.
r**(-5830/81)
Simplify ((u*u*u*(u*u**(-10))/u)/u**(-2)*u*((u/u**2)/u)/u*u*u**(-2/9)/u)**(-10) assuming u is positive.
u**(650/9)
Simplify ((z**(-5)/(z/z**(-15)))/((z/(z*z**10))/(z/(z**(5/7)/z))))**(-13) assuming z is positive.
z**(884/7)
Simplify q**(1/7)/q**(-5/13)*(q**(-21))**(-2/103) assuming q is positive.
q**(8766/9373)
Simplify (((r*(r*r**(2/13)*r)/r*r)/r)**(-2/31)*(r**(-3/5)*r)**(-13/4))**(-31) assuming r is positive.
r**(5799/130)
Simplify (d/(d/d**0))**(-47)*(d*d/(d*d**1))/((d*d**(-7))/d)*(d**(-2/13)*d*(d**(-3)/d)/d)/(d/d**(-6)*d**(-2/5)*d*d) assuming d is positive.
d**(-374/65)
Simplify (v/v**(2/5))/v*v**4*((v*v**1/v)/v*v)**(13/6)*(v**7*((v*v/(v*v*v*(v/(v/((v**(-6)*v)/v*v)*v*v))/v*v))/v)/v)/(v**1)**(-43) assuming v is positive.
v**(1793/30)
Simplify ((x**(1/2)/(x**(-5)/x))/((x*x**(-2))/((x/((x*x**3/x)/x))/x)))/((x/x**(-1/3))**(-37)/(x/x**(-4)*x/((x/(x/x**(2/19)*x))/x))) assuming x is positive.
x**(7151/114)
Simplify ((f**2/f)**(-4/31)*((f/(f/(f*f**(-8/5)*f*f)))/f)/f*((f/f**4)/f)/f)**(-42) assuming f is positive.
f**(37296/155)
Simplify (x**9*x**(6/11)*x/(x/x**(-1/4))*x*x/(x**(-4)*x))/((x*x*((x*x*x*(x/(x*x**(-4/3))*x)/x)/x)/x)**(1/49))**(-2/81) assuming x is positive.
x**(7490647/523908)
Simplify (((((b/(b*b*b**(-1)*b))/b)**(-21))**(2/161))**34)**(2/5) assuming b is positive.
b**(816/115)
Simplify (q**6*q**(-4/5))**(-1/18)/((q**(-1))**45/(q**(-2/11)*q**(2/17))) assuming q is positive.
q**(375704/8415)
Simplify ((t/(t*t/(t**7*t*t*t)))**(-40)*t**(-8/5)/((t/(t*(t/(t**(7/3)/t))/t))/t))**(-18/7) assuming t is positive.
t**(32574/35)
Simplify (((q**(-14)*q)/q*q)/(q*q**(-37)/q)*q**(3/4)/(q**(-3/4)/q))**49 assuming q is positive.
q**(2597/2)
Simplify ((h*h*h**(1/5))/h**(4/3))**(-3/23)*(h*h/h**(-2/7)*h*h*h*h**(-2/9)*h)/(h**0)**32 assuming h is positive.
h**(43111/7245)
Simplify ((k*k**(6/5))/(k**3/k*k*k)*(k*k*k*k**11*k)/k**(-8))**(-3/25) assuming k is positive.
k**(-318/125)
Simplify (s**(-1/14)/s*s*s*(s*s*s**23*s)/s*s*s*s*((s**(2/9)*s)/s)**(-34))**(1/3) assuming s is positive.
s**(2693/378)
Simplify (j**(12/11))**(-8)*(j**(2/35))**(-37) assuming j is positive.
j**(-4174/385)
Simplify ((((t*t**(-7))**(-1/46))**(-12))**(-39/5))**28 assuming t is positive.
t**(39312/115)
Simplify ((o**(-15))**(-3/16)*(o**8/o)/o*o*o/(o/((o*o**(-34))/o)*o)*o)**17 assuming o is positive.
o**(-6579/16)
Simplify (((q**4/q)/q)**(-49))**(-33)*(q**10/q**(-2/15))**(-1) assuming q is positive.
q**(48358/15)
Simplify (a*a**(-4/19)*a*a**16)/(a/a**(-28)*a*a)**(-18) assuming a is positive.
a**(10940/19)
Simplify (l/(l*l*l**0))/(l**(3/2)/l)*l*l/l**(-1/2)*l**(-34) assuming l is positive.
l**(-33)
Simplify ((i**(1/2))**22/(i**(1/3))**(-11))**(-1/58) assuming i is positive.
i**(-22/87)
Simplify (g*g**(-3)*g**(-3)*g/g**(-3/7)*g*g**(1/3))/((g**6/g)/(g*g**(-3)))**(-10/9) assuming g is positive.
g**(349/63)
Simplify (h**(-2/3)/(h**(-3/4)/h))/(h**(-8)/h**(2/35))*((h/(h/(h/h**1)*h))/h)**46*((h*h**(4/3))/h*h)/h**(7/2) assuming h is positive.
h**(-35291/420)
Simplify (a**(-2/7)*a*a**3)**(-5)/(a**(-2/9)/(a/(a*((a*((a/a**3)/a)/a)/a)/a))*(a*a**(2/7))**(1/20)) assuming a is positive.
a**(-16901/1260)
Simplify ((h/h**(-6))/(h**(1/2)/h))**(-3/26)*h**(-1/2)*h**(-1/4)*((h*h**(-2))/h*h)**(-3/11) assuming h is positive.
h**(-192/143)
Simplify ((d/d**(-2))**(1/6))**(-34)*((d**(1/9)/d)/d**7)**(-21/2) assuming d is positive.
d**(395/6)
Simplify ((n*n**3*n**(2/5))/((n/n**(-1))/n**(-4)))/((n*n**(-3))/(n/n**(-3/4)))**(-9/11) assuming n is positive.
n**(-1027/220)
Simplify (((c**(4/3)/(c**(-3/4)/c))/(c/(c*c*c**2*c))**0)**(-2/9))**(-42) assuming c is positive.
c**(259/9)
Simplify (s**4/(s*s**(-4)))/(s**(-5/6)/(s/s**(-2/9)))*(s**(-1))**(6/13)/(s**(-6)*s*s/(s**(-2/7)*s)) assuming s is positive.
s**(21799/1638)
Simplify (((g/g**3)/g**4)/((g**(-3)*g)/g**(-5)))/((g*g*g**(-1)*g*g*g)**(12/7)/(g**(-4)*g*g*g**7/g)) assuming g is positive.
g**(-83/7)
Simplify (((((i*i**(2/9))/i)/i)/(i*((i*i**(-3))/i)/i*i))/(i*i**0)**(-4/5))/(((i**(-3/5)*i)/(i*i**(6/7)))/(i**3*i/((i*i**(-1)*i*i)/i))) assuming i is positive.
i**(2041/315)
Simplify (l**(-1/4)/(l**(-5/4)/l))/((l**(-5)/l)/l**(-5))*((l*l*l**(-1)/l*l)/l*l*l**(-2/3)/l*l)/(l**(-1/2))**(-22) assuming l is positive.
l**(-23/3)
Simplify ((((x/(x/(x**(-1)/x)))/((x*(x/(x*x**(-4/11)))/x*x)/x))/((x**2*x)/(x*x*x*x/(x*x/(x**(-9)/x*x))*x)))**6)**(-4/13) assuming x is positive.
x**(3000/143)
Simplify (((q*q**(2/11))/q)/q)/(q*q**(-2/9))*(q/(q**(-10)*q))/(q/(q/q**39)) assuming q is positive.
q**(-3029/99)
Simplify ((o**(-6)/o)/(o*o**(-2/5)/o*o*o))/((o/(o/o**7))/o**(-2/7))*o**(-3)/o**(2/7)*(o*o**(-1))**(-5/4) assuming o is positive.
o**(-671/35)
Simplify (((u*(u/u**(1/3))/u*u)/(u*u/u**(1/6)))/((((u*((u**(-4)*u)/u)/u*u)/u*u*u)/u)/u*u**(-4)))/(u**6*u*u**4)**(17/6) assuming u is positive.
u**(-70/3)
Simplify (p**(-5/6)/(p**5/p))/(p**(1/4)/(p*p**(-6)))*((p/p**(-1/3))/p)**(-29)*p**5/p**(-1/4) assuming p is positive.
p**(-29/2)
Simplify (h**(-8)*h*h/h**2)/(h**(18/7)*h**27) assuming h is positive.
h**(-263/7)
Simplify (y**5*y**(-10)*y**(3/4)*y/y**(-1/6))**(-30) assuming y is positive.
y**(185/2)
Simplify (((r/(r/r**(-1)))/(r/(r*r**(-1/6)*r)))/((r/r**(3/5))/(r*r*r**3)))/((r*r*r*r**(1/4)*r*r)**(-38)*r**(-1)/r*r/r**(4/9)) assuming r is positive.
r**(9242/45)
Simplify i*i**(3/4)*i*i*i*i**8*i*(i/i**(-3/2)*i)/i*(i/(i*i/i**(-1)))/i*((i**(-2/3))**(-4))**(-14) assuming i | {
"pile_set_name": "DM Mathematics"
} |
3?
2
What is the millions digit of 2325467?
2
What is the hundreds digit of 136278?
2
What is the ten thousands digit of 110204?
1
What is the thousands digit of 32844?
2
What is the ten thousands digit of 97321?
9
What is the hundreds digit of 114756?
7
What is the hundreds digit of 3125046?
0
What is the tens digit of 187455?
5
What is the tens digit of 942374?
7
What is the thousands digit of 265076?
5
What is the thousands digit of 5258960?
8
What is the units digit of 7602122?
2
What is the millions digit of 1629266?
1
What is the hundred thousands digit of 138775?
1
What is the millions digit of 1543291?
1
What is the millions digit of 14006021?
4
What is the hundreds digit of 320928?
9
What is the tens digit of 1374481?
8
What is the ten thousands digit of 13840056?
4
What is the ten thousands digit of 523286?
2
What is the ten thousands digit of 1268383?
6
What is the units digit of 1246064?
4
What is the thousands digit of 18769543?
9
What is the units digit of 284323?
3
What is the tens digit of 139312?
1
What is the thousands digit of 602590?
2
What is the tens digit of 1461699?
9
What is the tens digit of 47964?
6
What is the units digit of 29857469?
9
What is the units digit of 3413898?
8
What is the hundreds digit of 1622070?
0
What is the ten thousands digit of 10789331?
8
What is the tens digit of 3905141?
4
What is the tens digit of 27125406?
0
What is the tens digit of 226611?
1
What is the hundreds digit of 424384?
3
What is the ten thousands digit of 1065836?
6
What is the thousands digit of 12963999?
3
What is the units digit of 3936?
6
What is the hundreds digit of 604744?
7
What is the units digit of 11276070?
0
What is the units digit of 207035?
5
What is the thousands digit of 216554?
6
What is the tens digit of 741054?
5
What is the hundreds digit of 17354718?
7
What is the hundred thousands digit of 2506004?
5
What is the ten thousands digit of 16733775?
3
What is the units digit of 300902?
2
What is the millions digit of 5748351?
5
What is the hundreds digit of 12609928?
9
What is the ten thousands digit of 27079?
2
What is the ten thousands digit of 691222?
9
What is the hundred thousands digit of 331118?
3
What is the tens digit of 1312478?
7
What is the ten thousands digit of 521577?
2
What is the ten thousands digit of 2135651?
3
What is the hundreds digit of 312380?
3
What is the ten millions digit of 10402952?
1
What is the units digit of 836094?
4
What is the thousands digit of 22429?
2
What is the millions digit of 11352165?
1
What is the hundreds digit of 3664693?
6
What is the hundreds digit of 309056?
0
What is the tens digit of 388041?
4
What is the thousands digit of 190389?
0
What is the tens digit of 27802?
0
What is the hundreds digit of 369475?
4
What is the units digit of 10021303?
3
What is the hundred thousands digit of 385635?
3
What is the ten thousands digit of 11619013?
1
What is the hundreds digit of 1292429?
4
What is the hundreds digit of 33789036?
0
What is the tens digit of 5642344?
4
What is the millions digit of 2296810?
2
What is the hundreds digit of 6039913?
9
What is the hundreds digit of 4623467?
4
What is the ten thousands digit of 212792?
1
What is the tens digit of 47891?
9
What is the thousands digit of 15565082?
5
What is the tens digit of 751952?
5
What is the ten thousands digit of 987952?
8
What is the ten thousands digit of 1674456?
7
What is the millions digit of 20967050?
0
What is the ten thousands digit of 1351099?
5
What is the ten thousands digit of 156878?
5
What is the hundreds digit of 487940?
9
What is the units digit of 29170406?
6
What is the thousands digit of 4263275?
3
What is the hundred thousands digit of 31154304?
1
What is the thousands digit of 2331583?
1
What is the hundreds digit of 1300737?
7
What is the thousands digit of 11130781?
0
What is the hundreds digit of 2814048?
0
What is the units digit of 1125901?
1
What is the hundred thousands digit of 3852319?
8
What is the tens digit of 148654?
5
What is the units digit of 3543456?
6
What is the hundreds digit of 21029948?
9
What is the thousands digit of 242075?
2
What is the units digit of 1275898?
8
What is the ten millions digit of 11419739?
1
What is the thousands digit of 11829532?
9
What is the hundreds digit of 94993?
9
What is the hundreds digit of 2439592?
5
What is the units digit of 874605?
5
What is the ten millions digit of 18768220?
1
What is the hundreds digit of 371810?
8
What is the thousands digit of 123548?
3
What is the thousands digit of 480497?
0
What is the thousands digit of 3308215?
8
What is the tens digit of 9649589?
8
What is the hundred thousands digit of 219992?
2
What is the tens digit of 1065146?
4
What is the ten thousands digit of 73110?
7
What is the tens digit of 927039?
3
What is the units digit of 62051?
1
What is the units digit of 1183550?
0
What is the units digit of 261609?
9
What is the hundred thousands digit of 278340?
2
What is the ten thousands digit of 97580?
9
What is the tens digit of 56487?
8
What is the millions digit of 1656890?
1
What is the thousands digit of 18557919?
7
What is the thousands digit of 1417039?
7
What is the units digit of 14595?
5
What is the tens digit of 19657876?
7
What is the hundreds digit of 2767998?
9
What is the thousands digit of 393325?
3
What is the units digit of 484128?
8
What is the ten thousands digit of 516740?
1
What is the ten thousands digit of 115805?
1
What is the ten thousands digit of 85056?
8
What is the hundred thousands digit of 1825137?
8
What is the hundreds digit of 21147116?
1
What is the ten thousands digit of 84909?
8
What is the hundred thousands digit of 817609?
8
What is the thousands digit of 5378325?
8
What is the hundreds digit of 1685998?
9
What is the ten thousands digit of 634911?
3
What is the ten thousands digit of 21712269?
1
What is the millions digit of 2809487?
2
What is the ten millions digit of 33333880?
3
What is the thousands digit of 19675313?
5
What is the ten thousands digit of 1253638?
5
What is the tens digit of 4209440?
4
What is the hundreds digit of 2017105?
1
What is the hundreds digit of 3222084?
0
What is the units digit of 667358?
8
What is the units digit of 709567?
7
What is the thousands digit of 1733456?
3
What is the thousands digit of 6289808?
9
What is the ten thousands digit of 1163531?
6
What is the hundreds digit of 173324?
3
What is the ten thousands digit of 4270026?
7
What is the tens digit of 1384162?
6
What is the tens digit of 519201?
0
What is the hundreds digit of 15338705?
7
What is the hundreds digit of 843339?
3
What is the thousands digit of 5460993?
0
What is the hundred thousands digit of 149309?
1
What is the hundreds digit of 5133147?
1
What is the ten thousands digit of 17648807?
4
What is the hundred thousands digit of 385353?
3
What is the ten thousands digit of 235192?
3
What is the hundred thousands digit of 943750?
9
What is the ten thousands digit of 357277?
5
What is the units digit of 1097205?
5
What is the hundred thousands digit of 8561878?
5
What is the thousands digit of 225794?
5
What is the thousands digit of 5764045?
4
What is the units digit of 664302?
2
What is the units digit of 2196551?
1
What is the units digit of 108609?
9
What is the hundred thousands digit of 348547?
3
What is the ten thousands digit of 112786?
1
What is the tens digit of 7245432?
3
What is the millions digit of 2266799?
2
What is the millions digit of 10054465?
0
What is the tens digit of 1400903?
0
What is the tens digit of 5363087?
8
What is the hundred thousands digit of 902821?
9
What is the tens digit of 448674?
7
What is the ten thousands digit of 2542190?
4
What is the hundreds digit of 207499?
4
What is the units digit of 35573?
3
What is the hundreds digit of 478101?
1
What is the thousands digit of 5462210?
2
What is the ten thousands digit of 1026819?
2
What is the units digit of 662292?
2
What is the thousands digit of 1246065?
6
What is the thousands digit of 481530?
1
What is the tens digit of 37007463?
6
What is the units digit of 1266462?
2
What is the ten millions digit of 14808017?
1
What is the hundred thousands digit of 9581472?
5
What is the ten thousands digit of 68427?
6
What is the tens digit of 81260?
6
What is the thou | {
"pile_set_name": "DM Mathematics"
} |
= -6 - -10. Let w = 7 - q. Suppose -15 = -r - m, w*m = 4*r + 4*m - 45. Is r prime?
False
Let a(z) = z + 3. Let i be a(-3). Let r be -3 + i/(-3) + 0. Let d(o) = -3*o**3 + 3*o**2 - o. Is d(r) prime?
False
Let y(j) = 34*j**2 - j + 4. Is y(3) prime?
True
Suppose 3*y - 5*w + w - 29 = 0, 9 = -2*y - 3*w. Suppose -5*z = -4*n - 253, -3*z + 2*n = -y*n - 144. Is z a prime number?
True
Suppose 0 = -4*k + 2*n - 224, 0 = -3*k - 2*n - 78 - 90. Let a = k - -103. Is a a prime number?
True
Let b(d) = -4*d**2 + 7*d + 6. Let g(o) = o**3 + 8*o**2 + o + 4. Let l be g(-8). Let u be b(l). Is (-4)/(-10) - u/10 composite?
True
Let v(k) = k**2 + 5*k - 2. Let a be v(-6). Suppose -1 = f + a. Let r = -3 - f. Is r a prime number?
True
Let o(s) = s**3 + 3*s**2 - 6*s - 3. Let j be o(-4). Suppose 0 = -j*n + 25, 0*a + 2*a - 159 = 3*n. Is a a prime number?
False
Let x(d) = -6*d**3 - 6*d**2 - 2*d - 3. Is x(-4) a prime number?
True
Let p(v) = -v + 7. Let h(o) = o**3 - 10*o**2 + 2*o - 10. Let l be h(10). Let c = l + -18. Is p(c) prime?
False
Suppose 0 = -5*q + 15. Let w be (-1)/(-3) + (-680)/(-3). Suppose g = -q*g - 3*y + 320, -3*g = -y - w. Is g a composite number?
True
Let k(c) be the third derivative of c**5/30 - c**4/8 + 2*c**3 + c**2. Is k(-9) composite?
True
Is (-4)/12*3*-1465 a composite number?
True
Let y(f) = 5*f - 2. Let t be y(8). Suppose 117 = -5*v - t. Let a = 116 + v. Is a prime?
False
Suppose -a = -3*k - 33, 25 = 3*a - 3*k - 80. Suppose g - 5*c = 2*g - 18, 4*c - 12 = 0. Suppose -2*x = 2, j + g*x = 2*j - a. Is j a composite number?
True
Let j = 8 + 0. Let m = 73 - j. Is m composite?
True
Suppose 2*k + 22 = 4*a, 0 = 4*a + 5*k + 2 - 3. Let n = 55 + a. Is n a prime number?
True
Let p be (-6)/(-21) + (-69)/21. Is -34*(-1)/2 + p prime?
False
Let f(c) = -c**3 + 8*c**2 + 10*c - 6. Let z be f(9). Suppose 2*n = 3*r - 393, -z*n - 2 = -11. Is r prime?
False
Let u = -533 + 991. Is u composite?
True
Suppose -74 - 101 = -u. Let q be (-5)/(15/(-6)) + u. Suppose 742 = 4*o + 3*a, -5*a + 0*a = o - q. Is o prime?
False
Suppose 5*d - 1505 - 80 = 0. Is d a prime number?
True
Suppose -2*z + 2 = 20. Is (-6)/27 - 1307/z prime?
False
Suppose 3*l - 1 = 5, -4*c = -5*l - 5514. Is c a composite number?
False
Suppose -3*v + 24 = -0*v. Let i be ((-3)/(-4))/((-2)/v). Is 5 + 51 - i/1 composite?
False
Is 2/8 + 104/(-32) + 524 a composite number?
False
Suppose 0 = 2*o - 9 + 3. Suppose 212 = -o*h + 7*h. Is h a composite number?
False
Let k(d) = 13*d + 16. Is k(15) prime?
True
Suppose -2*w = -672 - 1118. Is w a prime number?
False
Suppose 0 = 5*d + 2*s - 27, 0 = 5*d - s + 5*s - 29. Suppose -4*n + 2*n = -4*t + 590, -d*t = -5*n - 730. Is t a prime number?
True
Let p be 2 - 1 - (-142)/2. Let u = 137 - p. Suppose 3*a + 0*n - 63 = -3*n, 0 = -3*a - 4*n + u. Is a a composite number?
False
Suppose -c = c - 814. Is c a composite number?
True
Let o(z) = z**3 - z**2 - z + 3. Let j be o(0). Let u(h) = 3 - 5*h + 7*h + 3*h + j*h. Is u(8) composite?
False
Let l(k) = -57*k + 2. Let d be (-24)/(-9)*(-6)/4. Let f be l(d). Suppose 0 = -3*y - 2*y + f. Is y composite?
True
Suppose 0 = 2*s + s - 429. Is s composite?
True
Let f = -68 - -330. Is f prime?
False
Let h = -14 - -27. Is h prime?
True
Let i(h) = h**2 - 3*h + 1. Suppose -2*l = -3*p + 43, -l = 2*p - p - 21. Suppose -5*b = -2*z - p, -b - 1 = -2*b + z. Is i(b) prime?
True
Suppose y = 3*y - 142. Is y prime?
True
Suppose 3*h = z + 2, 3*z + h = 6 - 2. Let p be (-96)/3*z/2. Is (-4)/(2 - p/(-7)) a prime number?
False
Let s = -986 + 1653. Is s a composite number?
True
Let l(f) = f**2 + 4*f - 1. Suppose -38 = -5*z + 22. Suppose 4*s = s + z. Is l(s) a prime number?
True
Let l = -2211 - -3848. Is l prime?
True
Suppose 3*o - 26 = 5*i, 2*o - 4*i - 7 - 11 = 0. Suppose o*u - 2*u = 1535. Is u a prime number?
True
Let x be (-4)/(-3)*(-165)/(-2). Let t = -41 + x. Is t a composite number?
True
Suppose -12 - 36 = -y. Suppose -2*t - 2*t - y = 0. Let s = t - -43. Is s prime?
True
Is 1 + -5 + (-9)/3 + 886 composite?
True
Let j(w) = 8*w. Let b = 4 + -2. Let p be j(b). Suppose f - p + 2 = 0. Is f a composite number?
True
Suppose -3*p - 1551 = -3*k, 0 = 3*k - 4*p - 663 - 884. Is k a composite number?
False
Suppose -9332 = -4*o + q, 2*q + q - 6999 = -3*o. Is o a composite number?
False
Let k(c) = 2*c + 0*c + 1 + 0. Let y be k(1). Is (-1)/(0 + y/(-63)) a prime number?
False
Is (-1 + -289)/(2 + -4) prime?
False
Let h(b) = -b + 13. Let t be h(11). Let g be -129 + (-1 - t - -1). Let n = -34 - g. Is n composite?
False
Suppose 2*n = -4*k + 8*k - 276, -75 = -k + 2*n. Is k a composite number?
False
Suppose 9*d = 13*d - 356. Is d a composite number?
False
Let l = -143 + 87. Let k = l - -87. Is k prime?
True
Suppose -x = -4*x + 12, 0 = c + 3*x - 8069. Is c a prime number?
False
Suppose -t = 2*t - 249. Is t composite?
False
Let l(s) be the third derivative of -65*s**4/24 - 2*s**2. Suppose -2*p + 4*m = -2, -3*p + m - 1 = -m. Is l(p) prime?
False
Let d(l) = -8*l + 5. Let g(f) = -f**2 + 3*f - 4. Let i be g(3). Is d(i) prime?
True
Is (382/(-1))/(-2)*1 composite?
False
Let q = -69 + 237. Suppose -3*m + q + 27 = 0. Let v = -28 + m. Is v a prime number?
True
Let f(m) = m + 1. Let n be f(-8). Let w(a) = -a**3 - 7*a**2. Let s be w(n). Suppose 0*p - 2*p + 6 = s. Is p prime?
True
Let h(u) = -u**3 - u**2 - u. Let i be h(-1). Is (1 - (-2)/1)*i composite?
False
Suppose -n - 4*d = 2*n - 203, 3*n - 3*d - 210 = 0. Is n prime?
False
Let u = -11 + 11. Suppose u = 10*w - 5*w - 785. Is w prime?
True
Let c(i) = 2*i - 16. Let a be c(0). Let f = a - -227. Is f prime?
True
Let w(z) = -4*z - 3. Let u(g) = -g**2 + 4*g - 4. Let c be u(4). Is w(c) a composite number?
False
Is 8253/(-6)*2/(-3) a prime number?
False
Let i(f) = 0 - 3 + f**2 - 5 + f. Is i(-6) a composite number?
True
Let v(q) = 8*q + 787. Is v(0) prime?
True
Suppose 0 = 7*q - 306 - 1843. Is q a composite number?
False
Suppose -5 = 5*n, 0 = 2*z - n - 3*n + 222. Is 2/((-1)/1) - z a composite number?
True
Suppose 4*y = 20, -3*h - 25 = -h - 5*y. Let b = 8 + -4. Suppose h*n = b*n - 460. Is n composite?
True
Suppose -x + 7 = -12. Is (x/(-3))/(10/(-30)) a prime number?
True
Let l = 361 - 151. Suppose -z + 2*c = -l - 144, 2*z - 700 = 2*c. Let k = z + -81. Is k composite?
True
Suppose p - n - 533 = 0, -4*n = p + p - 1078. Is p prime?
False
Let l = 14 + -20. Let r be 1/(-1)*l - 1. Suppose -20 = -5*f + 3*v, -r*v = -f - 0*f - 18. Is f a composite number?
False
Suppose 0 = 4*r + 4 - 16. Suppose -3 = r*w - 24. Is (1 + 12)*(w + -5) a prime number?
False
Let m = -14 + 19. Suppose 0*h + m*h - 395 = 0. Is h composite?
False
Suppose l = j - 223 - 38, 2*j = -2*l + 526. Is j composite?
True
Is 3 + -2 - -1*3376 a prime number?
False
Suppose -271 = -x + 2*a + 320, -4*x + 5*a + 2352 = 0. Is x composite?
True
Let k = 110 + -57. Is k a prime number?
True
Let i(f) = -27*f + 26. Is i(-13) a prime number?
False
Suppose -2*m + 8 = -4*m - 3*o, -5*m = -4*o - 26. Suppose 0 = -m*t - 0*t + 8. Suppose 2*s = t*k + 8, -s - 4*k - k + 11 = 0. Is s a prime number?
False
Let q(i) = i - 2. Let d be q(2). Suppose d = a - 2*h + 69, 2*a = 6*a + 2*h + 236. Let r = 18 - a. Is r a prime number?
True
Let p(d) = -30*d - 1. Is p(-10) composite?
True
Let x be -3 + 0 + 3 + 1. Is (-1)/(x/(-85)) - -2 a composite number?
True
Let o = 87 + -137. Let k be ((-12)/(-10))/((-1)/o). Let v = k - 23. Is v a prime number?
True
Let d(z) = z**2 + 9*z - 5. Let t be d(-10). Let x(k) = 5*k**2 + 8. Is x(t) prime?
False
Let l be (5 - 2)/((-2)/(-50)). Let u = 44 + l. Is u a composite number?
True
Let a = 44 - 22. Let k = 179 - a. Is k composite?
False
Suppose 0 = 3*x - 7*x + 12. Suppose x*g - 23 = -2. Is g a prime number?
True
Let f(v) = 175*v - 3. Is f(2) a prime number?
True
Let f(n) = n + 1. Let h(z) be the first derivative of -2*z**2 - 60*z - 2. Let b(o) = -3*f(o) - h(o). Is b(0) prime?
False
Let v = 20 + -15. Suppose -3*l + i = 4*i - 780, -15 = v*i. Is l a composite number?
False
Let n(t) = 20*t + 3. Let i be n(-6). Suppose 431 + 345 = -4*r. Let w = i - r. Is w composite?
True
Suppose -3*s - 15 = 4*k - 0*s, 0 = k + s + 4. Let b be 1 + k/(-1) + -2. Is 53 - (-1 + 2)*b prime?
False
Let y be -2 - 1 - (-27 + 2). Is (-3)/15 + y/10 composite?
False
Suppose o - 304 = -w, 2*o + 1213 = 6*o + 3*w. Is o composite?
True
Let j = -16 + 309. Is j pri | {
"pile_set_name": "DM Mathematics"
} |
-10*p + 378 + m = 0. Is p a multiple of 14?
True
Suppose 0*o + 130 = 5*o. Let a(m) = -m**3 + 25*m**2 + 28*m - 56. Let r be a(o). Is 0 - r - (-19 + (-2 - -1)) a multiple of 17?
False
Suppose -730*b + 726*b - 3024 = 0. Let y = -132 - b. Does 39 divide y?
True
Let h be ((-4)/12*2)/((-2)/(-6)). Is ((-14)/4 - h)*-394 a multiple of 37?
False
Suppose -45*j = -22687 - 146 - 15867. Does 11 divide j?
False
Let v = 100 - 105. Is 16 a factor of 4/(-2) - (-52 - v)?
False
Let p be (-172)/(-10)*-1*-5 - 0. Let l = -42 + p. Does 22 divide ((-1206)/(-4) - -1)*l/55?
True
Is (-515655)/(-105) + 228/(-39) + (-8)/52 a multiple of 63?
False
Let l be 670/(-18) - 5/(-90)*4. Let j = 41 + l. Suppose -j*s + 396 = 2*s. Does 9 divide s?
False
Let l = -822 - -1192. Suppose 4*j = 4*q + 380, 3*q - q = 4*j - l. Let h = 127 - j. Does 9 divide h?
False
Let v(r) = -2*r + 18. Let i be v(-5). Suppose -5*j - 2*j = -i. Suppose 3*q - j*q + 54 = 0. Does 11 divide q?
False
Let q = 192 - 188. Suppose -q*y = -5*t + 420, 6*t + y = 5*t + 84. Is 7 a factor of t?
True
Suppose 0 = -10*w - 2*w - 36. Does 39 divide ((-18)/w - -320)/1?
False
Is ((-21)/(-6) + 10/(-4))*5183 a multiple of 73?
True
Let d be (4 - -4)*(-2 + (-10)/(-4)). Suppose -2*w - 3 = -5*a - 6, -d*a = 3*w - 39. Is 6 a factor of w?
False
Suppose 23*v = 41*v - 164268. Is v a multiple of 179?
False
Suppose 5*a + 4*f = -0*f + 1088, 3*a + 5*f - 645 = 0. Suppose -b - 5*p = -112, b = 3*p - 76 + a. Is 6 a factor of b?
True
Suppose 896*n = 902*n - 5292. Is n a multiple of 2?
True
Let a = -356 - -352. Does 9 divide 2/a*(-7 + -1201)?
False
Suppose 34*n - 33*n = -13086. Let c be 4/14 - n/63. Suppose 0 = -5*i - 2*g + 368, 3*i - c = -2*g + 16. Is i a multiple of 12?
True
Let j(w) = w**2 - 2*w - 133. Let x(d) = 2*d**2 - 30*d + 115. Let m be x(5). Does 2 divide j(m)?
True
Suppose 0 = 505*a - 729*a + 3088960. Does 10 divide a?
True
Let x = 28369 - 18727. Does 129 divide x?
False
Suppose 8*p - 12*p - 4*f + 3180 = 0, -f = -4*p + 3160. Is p a multiple of 7?
True
Let s(j) = -j**3 + 8*j**2 + 3*j. Let p be s(8). Suppose -20 = 4*a - p. Does 14 divide -2 - a*(-2 - 196)?
True
Let k be (0 - 2) + (-9)/(-1). Let q be 10 - ((-230)/69 + 2/6). Suppose -k*w - 1014 = -q*w. Is 13 a factor of w?
True
Suppose u - 16 = -2*f, 4*f - 75 = -5*u - f. Suppose 0 = i - 3*d - 11, i + 2*d - 6*d - u = 0. Suppose 4*m + i*m = 180. Does 10 divide m?
True
Suppose -15*s = -40*s + 21*s. Suppose -60*o + 54*o + 840 = s. Does 14 divide o?
True
Let w(g) be the second derivative of -g**5/5 - g**3/3 - 4*g**2 + 57*g. Is w(-4) a multiple of 16?
True
Let q(v) = -5*v - 239. Let s be q(-47). Let a(j) = -6*j**3 - 8*j**2 - 12*j - 14. Is a(s) a multiple of 4?
False
Let j(g) be the first derivative of 4*g**3 - 7*g**2 - 19*g + 13. Let y(t) be the first derivative of j(t). Is 21 a factor of y(12)?
False
Let v(c) = 9*c**2 + 2*c. Let s(g) = 2*g - 30. Let y be s(20). Suppose -5*h = -y*h + 5. Is v(h) even?
False
Let l = 73 - 68. Suppose -l*n + 419 = -21. Let g = n - 5. Does 14 divide g?
False
Let i(p) = p**2 - 15*p - 13. Let u be i(16). Suppose 1105 = 4*w + 3*x, -5*w + u*w + 550 = 2*x. Suppose -w = -5*t - 5*t. Is t a multiple of 8?
False
Let g = -12226 - -14140. Is g a multiple of 87?
True
Is (-420)/(-7)*(1 + 131/4) a multiple of 25?
True
Let x be ((-39)/(-2))/(6 + (-1395)/234). Suppose -2*u + 55 = -5*v - 202, 4*u - 3*v - x = 0. Is 6 a factor of u?
True
Let x = 193 + -146. Let q = -20 + x. Does 27 divide q?
True
Let y = 1218 - 777. Let b = 561 - y. Is b a multiple of 3?
True
Suppose 58 + 62 = i. Let a(p) = -p**2 - 57*p + 524. Let t be a(8). Is (5/t)/(363/i - 3) a multiple of 8?
False
Let x = -35203 + 51852. Is x a multiple of 13?
False
Let o = -6281 + 6701. Is 7 a factor of o?
True
Suppose -85*z = -312311 - 39419. Is 17 a factor of z?
False
Suppose 5*w - 4*v = -0*w + 372, v - 154 = -2*w. Let r be 547 + -1 + (5 - (-6 - -7)). Suppose 71*l + r = w*l. Is l a multiple of 10?
True
Suppose 0 = -200*u + 171*u + 412438. Is 13 a factor of u?
True
Suppose 5*k - 11313 = -o, 335*o = -5*k + 338*o + 11301. Is 29 a factor of k?
True
Let c = -374 - -371. Does 11 divide 134 - (c + 3 - 2)?
False
Let m be 40/(-5) + (2 - 45). Is 15 a factor of ((-934)/4)/(m/102)?
False
Suppose 12 = 5*a + 5*q - 13, -3*q + 9 = a. Suppose a*b + 5*y - y - 215 = 0, 5*b - 5*y = 405. Suppose 43 = 3*w + m, 0 = 5*w + m - 2*m - b. Does 4 divide w?
False
Suppose -2*u = 4, -5*u + 254 = -r + 5528. Does 7 divide r?
True
Let h be -2 + 2 + 21 + 2/2. Let x = h - 23. Does 5 divide 978*x/(-14) - (-2)/14?
True
Let t(y) = -4*y**2 + 9*y - 30. Let z be t(-8). Let f = z + 452. Does 9 divide f?
False
Let f(t) = -1822*t + 1280. Is 37 a factor of f(-17)?
False
Let x(k) = k**2 + 12*k + 567. Let n be x(0). Let i(f) = -2*f + 5. Let d be i(-2). Suppose 3*z + n = -6*t + d*t, 5*t = 4*z + 948. Is t a multiple of 37?
False
Is ((1 + 8 - 8552) + -13)*(-19)/3 a multiple of 31?
True
Suppose 3*g + 3*j - 3531 = 0, -3*g - 5*j = -1147 - 2374. Suppose -8*v + g = -58. Does 5 divide v?
True
Let n(v) = -v**3 + 6*v**2 + 6*v + 10. Let t(r) = r**3 + 18*r**2 + 2*r + 44. Let y be t(-18). Let m be n(y). Let g = m + 121. Does 17 divide g?
True
Suppose k + 4*k - 15 = 0. Let w be 11/(((-3)/2)/k - -1). Let f = w + -1. Is f a multiple of 6?
False
Let u(a) = -8013*a**3 + 2*a**2 - 18*a - 20. Is 3 a factor of u(-1)?
True
Does 33 divide ((-15939)/2)/(18/(-36))?
True
Let n be ((-15)/9)/((-5)/2)*144. Let q = -61 + n. Is 9 a factor of (6/9)/((-2)/(-3)) + q?
True
Let j be 3 - -28 - (-5 + 1). Suppose 5*c = -0*c + 5*k + j, 10 = 4*c + 2*k. Is c - 8*15/(-2) a multiple of 32?
True
Suppose f - 8818 = -3*l, 4484 - 1538 = l - 3*f. Does 21 divide l?
True
Let k = 8 + -6. Let j(g) be the second derivative of 7*g**4/12 - g**3/3 + 3*g**2/2 + 471*g. Is j(k) a multiple of 3?
True
Let n(j) = -637*j + 1043. Does 222 divide n(-13)?
True
Let n(r) be the first derivative of -r**4/4 - 13*r**3/3 - 11*r**2/2 - 55*r + 82. Does 59 divide n(-14)?
True
Suppose 8*h - 1 = -41. Let s be (-10)/4*(24 + 2)*h. Let t = -175 + s. Does 25 divide t?
True
Suppose -5*g - x + 23013 = x, 5*g - 3*x = 23043. Is g a multiple of 88?
False
Let y(z) = 3*z**2 - 10*z - 26. Let p(o) = o + 1. Let h(g) = -g**3 + 9*g**2 + 7*g - 17. Let a(m) = h(m) + 5*p(m). Let f be a(10). Does 18 divide y(f)?
False
Is 44 a factor of (0/(-2) - (-6)/9) + 14457670/570?
False
Suppose j + 3 = 4*l, l = 3*j - 6*j - 9. Suppose l = -9*g + 528 + 1515. Is g a multiple of 9?
False
Let c = 37 - 136. Let l be 1/(-3 + 2) + 5. Is 9 a factor of (c*4/(-16))/(1/l)?
True
Suppose 3*a = -3*b + 4446, -a + 4*b = -812 - 700. Is 31 a factor of a?
True
Suppose 0 = -3*n - 2*n + 10. Suppose -5*p - 4*o - 4 = -n, 0 = 4*p - 2*o - 14. Suppose -p*g + 4*i = 2*i + 4, -5*g - 4*i = -35. Is g a multiple of 2?
False
Let b = 9088 - 555. Is 85 a factor of b?
False
Let i = 387 + -381. Suppose -2*z + 855 = i*b - 9*b, -5*b = 2*z - 879. Is 12 a factor of z?
True
Suppose y - 18*y - 4216 = 0. Let a = y + 516. Is 67 a factor of a?
True
Let y(o) = 9*o + 62. Let l be y(-11). Let q = l - -425. Does 5 divide q?
False
Let v(w) = 19*w + 3*w**3 - 20*w - 1 - 2*w**3. Let b(a) = 7*a**3 - 12*a**2 - 8*a - 22. Let c(t) = b(t) - 6*v(t). Is 18 a factor of c(13)?
False
Let j = 29 - 45. Let f be 4/(13 + j - 14/(-4)). Suppose m = k - 9, -2*k + 27 = -f*m + 3*m. Is 6 a factor of k?
True
Let l(k) be the third derivative of k**6/24 - k**5/60 - 5*k**4/24 + k**3 - k**2 - 35. Is l(2) a multiple of 8?
True
Let k be -3*((-110)/(-3))/5. Let o(n) be the third derivative of -n**5/60 - 7*n**4/8 + 22*n**3/3 - 8*n**2. Does 8 divide o(k)?
False
Does 27 divide 57230/19 - 202/1919?
False
Suppose 193 = 47*h - 42. Let b = 2 - -1. Suppose -m - 1 + 44 = b*i, 0 = -4*i - h*m + 72. Does 8 divide i?
False
Let i = -4477 + 6837. Does 14 divide i?
False
Let g be ((-1)/(-2))/((-2)/(-12)). Suppose 0 = g*y - 15, 5*t - 23 + 3 = -2*y. Suppose 0 = 4*j - t*j - 84. Does 12 divide j?
False
Let i(q) = 9*q - 67. Let h be i(8). Does 14 divide 360 + 5/(-5) + h?
True
Let f be (-2)/10 + 483/115. Suppose 0 = -0*t + t + f*y - 328, 0 = -4*t + y + 1380. Is 43 a factor of t?
True
Suppose -2*j = -u - 10835, 420 = -2*j + 5*u + 11283. Does 80 divide j?
False
Suppose 33*n = 9*n + 44088. Suppose 4*w - u = n, -3*w = -5*w + 2*u + 914. Is 46 a factor of w?
True
Let l be (-100922)/42 + 22/(-231 | {
"pile_set_name": "DM Mathematics"
} |
**3 + 5*x**2 + 7*x + 14. Let q be v(9). Let j = 249 + q. What is the third smallest value in j, -0.5, p?
j
Let i = -4974 + 4974.3. What is the third biggest value in i, -1/4, 15/31?
-1/4
Let u = -4744.5 - -4745. Which is the second smallest value? (a) u (b) 4/3 (c) -36 (d) -0.4 (e) 1/6
d
Let t = 21312.03 - 21698. Let i = -386 - t. Which is the second biggest value? (a) 0 (b) 0.3 (c) -0.4 (d) i
a
Let u(w) = -4*w**2 - 12*w - 22. Let z be u(-4). Let l = -15 - -17. What is the second biggest value in z, 1, l?
1
Let l = 19.5 - 23.5. What is the fourth smallest value in l, 3, 14/9, -0.2?
3
Let s = -1/24 + 109/312. Let x = s - 25/39. Let o be ((-6)/3)/(22/2). What is the fourth smallest value in x, -2, o, -1?
o
Let r = 6 + -6.4. Let v = -0.35 - 431.65. Let c = 430 + v. What is the third biggest value in r, -5, c?
-5
Let j be 63/15 - (-32)/40. Suppose 5*t - 30 = j*r, -r = -3*t + 3*r + 20. Let f = -17 - -16. Which is the third smallest value? (a) -1/7 (b) -5 (c) t (d) f
a
Let t = -847 + 5059/6. Let z = -1.18941 - 0.81059. What is the third smallest value in 5, t, z?
5
Let l = -494.9 + 497.9. Which is the third smallest value? (a) -0.4 (b) -20/3 (c) -3/4 (d) l (e) 2
a
Let n = 1.35 - 3.28. Let j = 0.07 - n. Let u = -571.9 + 572. What is the second biggest value in -3, j, u?
u
Suppose 544 = -15*z + 4279. What is the third smallest value in z, -0.4, -6/5?
z
Let m = -7 - -503. Let z = m - 504.76. Let p = z + -0.24. Which is the smallest value? (a) p (b) 0.2 (c) -2/15
a
Let l = -60.5 + 60. Let t(m) = -3*m**2 + 9*m + 1. Let v be t(-3). Let w = v - -50. Which is the second biggest value? (a) w (b) l (c) -9
a
Suppose 25*q - 27*q = 5*w - 108, -5*q = 2*w - 39. Suppose -4*k = g + 31, -2*k + 5*g - w = 21. What is the biggest value in 1, k, -5?
1
Let n(i) = -i**3 - 8*i**2 + 20*i + 3. Let g be n(-10). Suppose 35 = g*t - 1. Suppose -28*f = -31*f + t. What is the third smallest value in f, 0.5, 1/3, 2?
2
Let x = -3421/2 + 1679. Let j = 4.946 + 0.054. What is the second biggest value in j, x, 1/3, 1/4?
1/3
Suppose -392*h - 5*x + 50 = -387*h, 3*h = x + 10. What is the third biggest value in -1/4, 18, h?
-1/4
Suppose -562 = 2*u - 3*l, -4*l - 15 + 7 = 0. Let y be (3/8)/((-1917)/u). Which is the third smallest value? (a) y (b) 2 (c) 0.2
b
Let b = 2384 + -2383. What is the second smallest value in 0.3, -0.4, b, 1/7?
1/7
Let r = 22.303 + -22. Let y = r + -5.303. What is the biggest value in 3, 12, 0, y?
12
Suppose 0 = -0*q - 14*q + 56. Let s be 1*(-10)/q*16/(-40). Let j be s*9/42*4. What is the third biggest value in -4, -3, j, 1/7?
-3
Suppose 5*i + 4*m = -7, 0 = -593*i + 594*i - 4*m + 11. What is the biggest value in -31, i, 6/7, -11?
6/7
Let a = -646.9 + 757. Let z = 123 - a. Let m = 13 - z. What is the second smallest value in 0, m, -4?
0
Let z = -13339/9 - -1482. Which is the biggest value? (a) z (b) 1 (c) 16 (d) 2 (e) 3/5
c
Let u be (-9580)/18 - ((-112)/(-63) + -2). Let v = u + 19686/37. Which is the second biggest value? (a) v (b) -5 (c) -0.1
c
Let x = 7 + 34. Let i = x - 40. What is the smallest value in -0.4, i, -4, -1/2?
-4
Let f = -175.174 + 175. Let u = -0.674 - f. What is the smallest value in 0.3, u, -7?
-7
Let k(v) = 6*v**3 + 2*v**2 + 2. Let o be k(-2). Let g = o + 42. Let p be (g + 35/(-10))/4. Which is the biggest value? (a) -1 (b) -5 (c) p
c
Let q be (-3 + 200/70)*-16. Which is the fourth biggest value? (a) 0.1 (b) -0.4 (c) q (d) -1/4 (e) 5
d
Let v be 14 + (-4)/(-88)*-312. Which is the third biggest value? (a) v (b) -28 (c) 2/7
b
Let f = -0.518 + 0.338. Let r = f + 8.18. Which is the third biggest value? (a) 0.01 (b) r (c) -0.4 (d) 4
a
Let l be (-70)/63 + 4/3. Suppose -4*x - 10 = 10. What is the second smallest value in l, 4, x, -1/3?
-1/3
Let g = -17339 - -17322. Let k = 14.5 + -15. Which is the second biggest value? (a) -2 (b) k (c) 1.2 (d) g
b
Suppose -5810 = -550*q + 716*q. Which is the second smallest value? (a) 1/3 (b) q (c) -10
c
Let g(w) = 5*w**2 + 2*w**2 - 76 + 155 - 82. Let i be g(2). What is the biggest value in i, -0.4, 3/2?
i
Let o = -43016.7 - -43017. Let i = -19 + 39/2. Let t be (-16)/(-21) - 1/3. Which is the second biggest value? (a) t (b) -1 (c) i (d) o
a
Let r = -71 + 68. Let p = r + -24. Let t be 3/10*(18/p - -2). Which is the smallest value? (a) -0.4 (b) t (c) 5 (d) 0.5
a
Let j be 49/9 - (4 + 1). Let z = -12 - -9. Which is the third biggest value? (a) z (b) -0.01 (c) j
a
Let g = -6/17 + 35/51. Let w = 0.048 - 66.048. Let i = w - -66. Which is the third biggest value? (a) g (b) i (c) 4
b
Let p(s) = s**3 + 2*s**2 - 2*s - 1. Let z be p(-3). Let k = 5058.6 - 5058.68. What is the second smallest value in k, z, 0?
k
Let x = -29.45 + 32.3. Let j = x - 3.15. What is the second biggest value in 2/3, j, 1.1?
2/3
Let i be ((-30)/(-390))/(4/(-56)). Which is the second biggest value? (a) -2 (b) i (c) 5 (d) -5
b
Let n = 32962.07 - 32962. What is the smallest value in n, 0.53, 2/3, -4/9?
-4/9
Let w(f) = 6*f + 99. Let t = 81 + -97. Let m be w(t). Which is the third biggest value? (a) m (b) -0.2 (c) 0.2
b
Suppose 2*w + 12 = -5*y, 4*y - 49*w = 19*w + 60. Let r = 4.1 + -4. Which is the second biggest value? (a) r (b) y (c) 2/9
a
Let g = -0.05 + -1.95. Let u = g + 4.7. Let w = 1.0607 + -0.6607. Which is the second smallest value? (a) u (b) 1 (c) -1/2 (d) w
d
Let m(u) = -25*u - 153. Suppose 4*t + 4 + 2 = -p, 4*p = -3*t - 24. Let x be m(p). Which is the smallest value? (a) -5 (b) 1/33 (c) 0 (d) x
a
Let m = -15.8 - -16. Suppose -4*x - 118*o = -117*o + 4, 4*x - 2*o - 8 = 0. What is the smallest value in 5/6, -95, x, m?
-95
Let u(w) = 12*w - 67. Let q be u(6). Suppose 2 - 12 = q*y. What is the fourth biggest value in -1/5, 0.4, 2, y?
y
Let q = 6.49 - 6.69. Which is the biggest value? (a) -5/17 (b) 24 (c) q
b
Let j = -2.77 - 0.23. Let m = -83.5 - -83.2. Which is the fourth biggest value? (a) 5/4 (b) j (c) -4 (d) m
c
Suppose -3*v - 15 = -p, -2*v - 5*p - 22 = 5. Let l be (-3)/v - (-63)/(-198). Which is the third smallest value? (a) 3/5 (b) 4 (c) l (d) -0.4
a
Let h = 9318 - 9317.6. Which is the third smallest value? (a) -0.3 (b) h (c) -0.009
b
Let r = -20555/3 - -6853. What is the third biggest value in 568, 1/10, r?
1/10
Let w = 21976.3 - 21976. Which is the third biggest value? (a) -0.15 (b) w (c) -2/7 (d) 3 (e) -3
a
Let z be ((-24)/(-15))/(6/(-15)). Let w = -0.08 + 0.18. Let x = w - 0.4. Which is the third biggest value? (a) 3 (b) z (c) x (d) -5
b
Let v = 8823 - 1173461/133. What is the second smallest value in v, -0.04, -2?
-0.04
Let r = 756.5 + -838. Let g = 81.2 + r. What is the second smallest value in -104, g, -0.2, 4?
g
Let p = -2146 + 2174. Which is the smallest value? (a) 0 (b) 2/13 (c) p
a
Let l(g) = g**2 + 8*g - 11. Let j be l(-9). Let b be -1 - j - 4/5. Let i be 32/14 + (-62235)/3227. What is the second biggest value in b, i, -2?
-2
Let h = 119.5 - -2.5. Let y = h + -123. Which is the smallest value? (a) 0.3 (b) y (c) -7/3
c
Let k = -5 - -2. Let j be 130/(-520) - (3/(-4))/3. Let m be 6/(-16) + j + 66/(-528). What is the third biggest value in 0.2, k, m?
k
Let z = 23.9 + -24. Let w = 194.65 - 203.65. Which is the third biggest value? (a) z (b) w (c) -0.7
b
Let r(h) = 3*h**3 + 68*h**2 - 9*h + 343. Let u be r(-23). Which is the second biggest value? (a) u (b) -6/5 (c) 17
c
Let y(m) = 50*m**2 + 33*m - 10. Let w be y(1). What is the second biggest value in w, -5, 4, 1?
4
Let q = -9558 + 9556. What is the fourth biggest value in q, 0.02, 0.5, -14?
-14
Let z = 0.1304 - 104.7304. Let k = 145 + z. Let l = k + -40. Which is the third smallest value? (a) l (b) 4 (c) -2
b
Let x = -0.03 + -0.27. Let g = 0 - -0.12. Let o = 782.4 + -785.4. Which is the third biggest value? (a) x (b) 1/3 (c) o (d) g
a
Let w = 7714615/7677 - 957/853. Let u = w + -1004. Let a = -0.3 - 0.7. What is the smallest value in a, 1/2, u, 5?
a
Let m = 103 + -109. Let k be m/3 + (-143)/(-65). Let t(n) = -n**3 - 1. Let w be t(1). What is the biggest value in w, k, -15?
k
Let q = -329 - -334. Let u(i) be the second derivative of -i**3/3 + 5*i**2/2 - 5*i. Let g be u(3). What is the second smallest value in g, -0.2, q?
-0.2
Let f(x) = -2*x**2 + 4*x - 9. Let b be f(0). | {
"pile_set_name": "DM Mathematics"
} |
(b(q)).
2702836*q
Let y(h) = 2*h. Let g(p) = 30*p - 68. Let l(w) = 49*w - 147. Let r(m) = 7*g(m) - 4*l(m). Determine r(y(k)).
28*k + 112
Let k(m) = -7*m**2 + 3. Let s be ((-1)/3)/((-30)/6390). Let w(n) = -68*n**2 + 214*n**2 - 74*n**2 - s*n**2. Determine w(k(a)).
49*a**4 - 42*a**2 + 9
Let s(m) = m**2 + 2*m - 6. Let l(z) = 8*z**2 + 18*z - 54. Let u(k) = 2*l(k) - 18*s(k). Let i(f) = -106*f + 5. Give i(u(b)).
212*b**2 + 5
Let n(x) = x**2 - 2990*x - 1. Let u(l) = 224*l**2. What is n(u(k))?
50176*k**4 - 669760*k**2 - 1
Let j(o) be the first derivative of 3*o**2 + 1. Let c(q) = -1164*q**2 + 597*q**2 + 571*q**2. Determine j(c(b)).
24*b**2
Let j(t) = -2*t. Let s(d) = -12*d**2 + 5023*d + 5. What is j(s(f))?
24*f**2 - 10046*f - 10
Let z(y) = 2*y**2 + 23*y. Let g be (-10)/(-6) + 12/36. Let h(o) = -37*o**2 + 12*o**g + 7*o**2 + 16*o**2. Determine z(h(n)).
8*n**4 - 46*n**2
Let l be (320/(-60) + 7)/((-1)/3). Let p(m) = 9*m - 5. Let n(t) = 2 - 1 + 1 - 4*t. Let y(a) = l*n(a) - 2*p(a). Let d(v) = 69*v. Calculate y(d(j)).
138*j
Let y(x) = x**2. Let a(l) be the first derivative of l**5/60 - 17*l**4/4 + l**3/3 - 65*l + 37. Let p(i) be the third derivative of a(i). Calculate y(p(f)).
4*f**2 - 408*f + 10404
Let v(j) = -j**2 - 177. Let g(h) be the third derivative of -h**5/20 + 107*h**2. What is v(g(l))?
-9*l**4 - 177
Let s(k) = -4*k**2 + k**2 + 4*k**2. Suppose 5*b + 96 = 106. Let x(o) = -206*o**2 + 62*o**2 + 47*o**2 + 66*o**b. Give x(s(m)).
-31*m**4
Let v(b) = -120232*b. Let n(z) = -z - 13. Give n(v(l)).
120232*l - 13
Let m(a) = 68*a**2 - 4*a - 4. Let i(d) = -35*d**2 + 2*d + 2. Let b(w) = -2*i(w) - m(w). Let g(k) = 381*k**2 - 15*k. What is g(b(f))?
1524*f**4 - 30*f**2
Let r(s) = 9*s - 11. Let f(b) = -5*b + 6. Let g(j) = -11*f(j) - 6*r(j). Let t(z) = 256*z + 0*z - 323*z. Calculate t(g(c)).
-67*c
Let c(t) = t. Let v(w) = -9*w**2 + 23084*w. Calculate c(v(k)).
-9*k**2 + 23084*k
Let c(m) = -61*m - 86. Let t(u) = -3*u**2. Determine t(c(w)).
-11163*w**2 - 31476*w - 22188
Let u(i) = 99*i. Let f(k) = -k**2 - 100027. Determine f(u(a)).
-9801*a**2 - 100027
Let r(c) be the second derivative of 3*c**4/4 - c - 8498. Let y(t) = -3*t + 2*t**2 + 3*t. Calculate y(r(b)).
162*b**4
Let u(p) = 127*p. Let o(g) be the first derivative of g**5/60 + 71*g**2 - 103. Let h(j) be the second derivative of o(j). What is h(u(x))?
16129*x**2
Let v(u) = -1027862*u. Let z(f) = -f**2. Calculate v(z(q)).
1027862*q**2
Suppose 21*y - 30 = 15*y. Suppose y*c - q - 56 = 0, -q + 4*q = 12. Let t(a) = 8*a - 4*a + c*a. Let f(v) = 2*v. Determine f(t(p)).
32*p
Let y(r) be the second derivative of 2*r**3/3 + 849*r + 3. Let f(o) = -2*o**2 - 1957. Calculate y(f(x)).
-8*x**2 - 7828
Let q(x) = 14*x - 32. Let m(j) = -5*j + 12. Let v(y) = -8*m(y) - 3*q(y). Let p(d) = 2444*d - 1. Give p(v(k)).
-4888*k - 1
Let v(m) = -m**2. Let k(s) be the third derivative of -2*s**6/45 + 235*s**4/24 - 2*s**2 + 2. Let z(a) be the second derivative of k(a). What is z(v(b))?
32*b**2
Let h(j) be the third derivative of -427*j**5/6 + 2*j**2 + 12*j - 1. Let d(l) = -4*l**2. What is h(d(c))?
-68320*c**4
Let h(m) be the first derivative of 0*m + 25 + 1/2*m**2. Let o(z) = 4*z - 1. Calculate h(o(g)).
4*g - 1
Let d(y) = 2. Let j(h) = -2*h - 3. Suppose -19*o - 27 = 11. Let z(t) = o*j(t) - 3*d(t). Let s(v) = 15*v. Calculate z(s(x)).
60*x
Let a(d) = 7854065*d. Let q(b) = -11*b. Determine q(a(l)).
-86394715*l
Let s(q) = 7*q**2. Let b(r) be the first derivative of -268*r**3/3 - 2166. Give s(b(w)).
502768*w**4
Let m(c) = -c**2 + 52014*c - 52014*c. Let z(b) = 6*b**2 + 10*b. Determine m(z(h)).
-36*h**4 - 120*h**3 - 100*h**2
Let b be (-4)/4*(-2 + 5 - -2). Let t(f) = f**2 + f + 1. Let c(n) = -12*n**2 - 6*n - 6. Let d(q) = b*c(q) - 30*t(q). Let p(v) = -2*v. What is p(d(y))?
-60*y**2
Let y(l) = -20*l + 1. Let m(a) = -9*a**2 + 107*a - 11. Give y(m(c)).
180*c**2 - 2140*c + 221
Let t(q) = 8*q**2. Let b(u) = 3*u - 2 + 5 - 6 + 12 + 4. Determine b(t(v)).
24*v**2 + 13
Let d(t) = -14*t - 60. Let g(l) = 154*l + 672. Let a(r) = -56*d(r) - 5*g(r). Let n(h) be the first derivative of 2*h**2 + 16. Calculate n(a(x)).
56*x
Let o(x) = 12*x. Let h(m) be the first derivative of -2*m**3/3 - 101*m + 121. Let f(k) be the first derivative of h(k). What is o(f(s))?
-48*s
Let z(d) = 2*d - 3*d + 2*d - 2*d. Let g(t) be the first derivative of 1/2*t**2 - 23 - 13*t**3 + 0*t. What is z(g(b))?
39*b**2 - b
Let q(x) be the second derivative of x**3/2 - 2454*x. Let g(l) be the third derivative of -l**5/15 - l**2. Determine q(g(f)).
-12*f**2
Let r(h) = -h**2. Let o(k) be the third derivative of k**8/10080 - 19*k**7/5040 + 3*k**5/4 - 74*k**2. Let i(l) be the third derivative of o(l). What is i(r(t))?
2*t**4 + 19*t**2
Let g(f) = 14218005285*f - 14218005285*f - 7*f**2. Let w(x) = -15*x - 6. Let n(k) = -16*k - 5. Let r(v) = -6*n(v) + 5*w(v). Give g(r(l)).
-3087*l**2
Let t(l) = l**2. Let q(h) = 25*h + 16. Let y(n) = n + 2. Suppose 4*r = 38 - 26. Let p(b) = r*q(b) - 24*y(b). Give p(t(x)).
51*x**2
Let t(h) = 2*h**2. Let y(s) = 102*s - 4. Let j(m) = -2*m. Let k(n) = j(n) + y(n). Let r(u) = u + 1. Let x(i) = -2*k(i) - 6*r(i). Calculate t(x(d)).
84872*d**2 - 1648*d + 8
Let u(f) = -2*f**2. Let b(n) = -13*n - 6. Let i be b(-5). Let y = -1481 + 1536. Let j(w) = y*w - 119*w + i*w. What is u(j(k))?
-50*k**2
Let f(q) = -67*q + 25*q + 23*q + 18*q. Let u(w) = 7*w**2 - 3*w + 3. Let i(m) = -28*m**2 + 11*m - 11. Let z(x) = 6*i(x) + 22*u(x). What is z(f(b))?
-14*b**2
Let c(a) = 15*a. Let w(k) = -33*k**2 - 20*k + 22. Determine w(c(v)).
-7425*v**2 - 300*v + 22
Let j(m) = 1805*m**2. Let n(o) be the third derivative of o**5/12 - o**2 + 9*o - 7. Calculate n(j(c)).
16290125*c**4
Let l(s) = -s. Suppose 4*g - 3*v - 2817 = 0, 3*g = 5*v + 2060 + 61. Let n(q) = 1413*q - 705*q - g*q. Calculate n(l(d)).
-6*d
Suppose -2 = -9*p + 97. Let t(v) = 25*v + 11*v - p*v. Let k(o) = -3*o**2. Determine k(t(s)).
-1875*s**2
Let g(b) = -15*b. Let x(q) be the second derivative of 505*q**4/12 - 7*q - 213. What is x(g(y))?
113625*y**2
Suppose -2 + 0 = g, -4*g - 23 = 3*o. Let h be (-5 - (o + 1))*-298. Let w(x) = 295 + h - 10*x**2 - 593. Let s(q) = 2*q**2. Determine w(s(d)).
-40*d**4
Let p(o) = -7*o**2 + 2. Let w(d) be the second derivative of 7*d**4/12 - 3*d**2/2 - 3*d - 7. Let c(y) = 3*p(y) + 2*w(y). Let a(v) = 4*v**2. Calculate a(c(m)).
196*m**4
Let h(o) = 2*o**2. Let m(v) = -1835*v - 1687 + 844 + 841. Determine m(h(g)).
-3670*g**2 - 2
Let g(q) = 14*q - 187. Let d(n) = 5*n - 66. Let s(y) = -17*d(y) + 6*g(y). Let m(r) be the second derivative of r**3 + 11*r**2/2 - 3*r. What is m(s(a))?
-6*a + 11
Let n(w) be the third derivative of w**7/5040 - 3*w**5/4 + 39*w**2. Let p(r) be the third derivative of n(r). Let m(d) = d - 54. Give m(p(f)).
f - 54
Let f(b) be the first derivative of -b**3/3 - 33*b**2/2 - 301. Let y(x) = -118*x - 1. What is f(y(c))?
-13924*c**2 + 3658*c + 32
Let p(d) be the third derivative of 0*d + 3/8*d**4 + 1/3*d**3 - 1 + 21*d**2. Let r(y) = 2*y. What is p(r(c))?
18*c + 2
Let u(w) be the second derivative of -7*w**6/240 - w**4/6 + 19*w**3/6 - w + 13. Let y(j) be the third derivative of u(j). Let v(l) = -4*l**2. Determine y(v(m)).
84*m**2
Let o(g) = 336*g. Let q(f) = -2*f + 59918. Determine q(o(r)).
-672*r + 59918
Suppose 2*i - 3807 = 899. Let m(b) = i - 5*b**2 - 2353. Let d(r) = r**2 + 17. What is m(d(l))?
-5*l**4 - 170*l**2 - 1445
Let m(g) = 5037*g. Let q(h) = 2*h**2 + 14*h - 2. What is q(m(d))?
50742738*d**2 + 70518*d - 2
Let r be (-715)/(-44) + (-1)/4. Let k(w) = 23*w + 6*w - r*w. Let a(v) = 4*v. Let l(f) = 5*f. Let q(s) = 4*a(s) - 4*l(s). Determine q(k(y)).
-52*y
Let h = -402 - -413. Let j(c) = 27*c**2 - 11*c**2 - 12*c**2 - h*c**2. Let p(t) be the first derivative of -t**2 + 1. Calculate j(p(k)).
-28*k**2
Let m be (20/6)/(28/(-36) - -1). Suppose -7*p + 57 = m. Let q(u) = -4*u + p*u - u**2 - 2*u. Let h(w) = -w**2. Give q(h(i)).
-i**4
Let q(s) = -s. Let x(f) be the first derivative of 53*f**2/2 + 10*f + 1871. Give q(x(p)).
-53*p - 10
Let z(q) = -1353762*q. Let w(b) = -b + 2. Determine w(z(v)).
1353762*v + 2
Let r(x) = -5610*x**2 - 41. Let t(c) = c**2. Calculate r(t(p)).
-5610*p**4 - 41
Let g(v) = -v. Let p(t) = 559*t**2 + 58*t + 8. Let o(i) = -202*i**2 - 20*i - 3. Let c(z) = 11*o(z) + 4*p(z). Determine g(c(a)).
-14*a**2 - 12*a | {
"pile_set_name": "DM Mathematics"
} |
5985*c**2 - 12272
Find the third derivative of 120405362*x**3 - 70638592*x**2 wrt x.
722432172
What is the third derivative of 413078*o**3*w**4 + 73*o**3 - o**2*w**4 + 14*o*w**2 - 2*o*w + 18*w**2 wrt w?
9913872*o**3*w - 24*o**2*w
Find the second derivative of 16141590*j**4 - j**3*s - 2*j*s - 10509621*s wrt j.
193699080*j**2 - 6*j*s
Find the second derivative of 472146124*y**3 + 229942342*y - 1.
2832876744*y
Find the first derivative of 14526840*a**3 + 3857178 wrt a.
43580520*a**2
What is the second derivative of -215648595*r**4 - 4*r - 16365900 wrt r?
-2587783140*r**2
Find the second derivative of 10262*z**4 + 380*z**3 + 2*z**2 - 27064679*z wrt z.
123144*z**2 + 2280*z + 4
What is the second derivative of 20*d**2*v + 11*d**2*w + 339*d**2 + 8*d*v*w - 7*d*v + 2*d + 13651*v + w wrt d?
40*v + 22*w + 678
What is the third derivative of -836640085*j**3 - 316134728*j**2 wrt j?
-5019840510
What is the third derivative of 26503*o**4 - 3765*o**3 - 31*o**2 + 5449*o - 3?
636072*o - 22590
Find the third derivative of 3853*i**5 - 167*i**4 - 2*i**3 - 5803209*i**2.
231180*i**2 - 4008*i - 12
Find the second derivative of 388178*b**5*w - 3*b**3*w**2 + 11*b*w**2 + 2*b*w + 2*b - 756*w wrt b.
7763560*b**3*w - 18*b*w**2
What is the third derivative of -17060771*l**3*n*w + 3*l**2*n*w + 3*l**2*n - 27*l**2 - 114*l*n - l*w + 2 wrt l?
-102364626*n*w
Differentiate -f**4 - 1219*f**3 - 3*f**2 + 14*f - 8303445 wrt f.
-4*f**3 - 3657*f**2 - 6*f + 14
What is the first derivative of -3*u**2 - 17255161*u - 20299647?
-6*u - 17255161
What is the third derivative of 546921828*p**3 + 3*p**2 + 5609185*p wrt p?
3281530968
Find the second derivative of -500046*f**2 - 7*f - 50370.
-1000092
What is the second derivative of -18068758*i**2*u**2 + 1924*i**2*u - 6*u**2 - 8775*u wrt u?
-36137516*i**2 - 12
What is the second derivative of -2*a**2*f*r - 219*a**2*f + 16*a**2*r**5 + 4681480*a*f*r**3 - 2*a*r + 2*a - 562*f*r + 11*f - r wrt r?
320*a**2*r**3 + 28088880*a*f*r
Find the third derivative of 17415789*h**3*l**4 - 4*h**3*l**2 + 37*h**3*l + 2*h**2*l**3 + h*l - 5*h + 6*l**2 + 20 wrt l.
417978936*h**3*l + 12*h**2
What is the first derivative of 162*p*u + 40454012*p - 76364*u wrt u?
162*p - 76364
Find the first derivative of 15738053*b**3 - 20663095 wrt b.
47214159*b**2
What is the third derivative of 295*k**4 + 930535*k**3*y - k**2*y + 33*k**2 - 1106740*k*y - k - 2*y wrt k?
7080*k + 5583210*y
What is the second derivative of 45903*k**5 - 6*k**4*s**3 - 4488*k*s**3 + 27*s**3 wrt k?
918060*k**3 - 72*k**2*s**3
Find the second derivative of 9147581*l**2*r**2*z**3 + 9*l*r**2*z**3 + 53*l*r**2*z + 961*l*r*z**3 wrt l.
18295162*r**2*z**3
Find the second derivative of -2407827*h**3*j**2 - 2*h**3*j + 2*h*j**2 + h*j + 23107*j**2 - 6*j + 1 wrt h.
-14446962*h*j**2 - 12*h*j
Find the second derivative of -212457719*o**2 + 221969574*o wrt o.
-424915438
What is the second derivative of 58109022*h*w**2 + 7*h*w + h - 11*w**2 - w - 42313 wrt w?
116218044*h - 22
What is the second derivative of 52*m*r**2 - 8330*m*r + 279*m - 80974*r**4 wrt r?
104*m - 971688*r**2
What is the derivative of 7*z**4 - 261381*z**2 + 6734479 wrt z?
28*z**3 - 522762*z
What is the second derivative of -117898949*o**5 + 48442763*o wrt o?
-2357978980*o**3
Differentiate 2874683*u - 1042214 with respect to u.
2874683
Find the first derivative of 275*c**3*x**2 - 128137*c**2*x**3 - 213122168*x**3 wrt c.
825*c**2*x**2 - 256274*c*x**3
What is the derivative of -5617683*h**3 + 4*h**2 - 28077570?
-16853049*h**2 + 8*h
What is the third derivative of -2566*g**4*l - 4*g**4 - 3315*g**3*l**2 + 2*g**2*l**2 + g**2*l - 190*g**2 + 2*g*l**2 + 8825*g*l - l**2 wrt g?
-61584*g*l - 96*g - 19890*l**2
What is the first derivative of -724744166*o + 143547716?
-724744166
What is the second derivative of 286*q**3 - 679468*q**2 - q + 241080825?
1716*q - 1358936
Find the second derivative of 728825549*s**3 - 2*s**2 - 245963592*s wrt s.
4372953294*s - 4
Differentiate 81892366*a**2 + 77772683.
163784732*a
Find the second derivative of -10755520*k*y**3 + 2957*k*y - 3*k - 2*y - 7 wrt y.
-64533120*k*y
Differentiate -3*m**2 + 400*m*x**2 - 2981*m + 413*x**2 + 111*x - 94 with respect to m.
-6*m + 400*x**2 - 2981
What is the third derivative of -8*v**4 + 527469*v**3 + 51*v**2 + 46728?
-192*v + 3164814
Differentiate 36614923*z**2 - 49840117.
73229846*z
What is the third derivative of 17295834*l**3 + 2*l**2 - 4*l + 21702 wrt l?
103775004
What is the third derivative of 80815017*m**3 - 2*m**2 + 13811547 wrt m?
484890102
Differentiate 1436474*h*t*w**3 + 62*h*w**3 + 2*h*w**2 + 5*h - 2*t*w**3 + t - 10*w**3 + 16*w**2 wrt t.
1436474*h*w**3 - 2*w**3 + 1
Find the second derivative of 110224*g**4 + 178*g**2*y**3 - 24*g*y**3 - 12742*g*y - 24*g - y**3 wrt g.
1322688*g**2 + 356*y**3
What is the first derivative of -835170*y**4 + 178*y**3 - 284819519 wrt y?
-3340680*y**3 + 534*y**2
Differentiate t**2*y**2 + 1050*t**2*y + 68134*t**2 - 12*t - 10*y**2 + 1 wrt y.
2*t**2*y + 1050*t**2 - 20*y
What is the third derivative of -44452424*d**4 + 2*d**3 - 3*d**2 + 558188*d + 139 wrt d?
-1066858176*d + 12
What is the second derivative of -2*c**3*s**3 + 2*c**3*s + 234936*c**3 + 47*c**2 - 15*c*s**2 + 1505769*s**3 wrt s?
-12*c**3*s - 30*c + 9034614*s
Differentiate -3507638*x - 22942712 wrt x.
-3507638
What is the third derivative of -149253236*b**3 - 107398316*b**2 wrt b?
-895519416
What is the derivative of 7651*k**4 + 3881*k**2 + 19382068?
30604*k**3 + 7762*k
What is the second derivative of 70974950*j**4 - 101164462*j?
851699400*j**2
Find the second derivative of -2*l**3*u - 558*l**3 - 157*l**2*u + 4*l**2 - 2691*l*u + 2*l + 2*u + 16147 wrt l.
-12*l*u - 3348*l - 314*u + 8
What is the second derivative of i**2*k**3 + 28227642*i**2*r + i*k**3*r - 2*k**3*r - 66447708*r wrt i?
2*k**3 + 56455284*r
Differentiate -2*i**2 + 9287252*i - 95920297 wrt i.
-4*i + 9287252
What is the second derivative of -2706795*q**3 + 3*q**2 + q - 32086373?
-16240770*q + 6
What is the third derivative of -4*s**4 + 1083226*s**3 + 13352*s**2 - 13?
-96*s + 6499356
What is the second derivative of -129015739*x**2 - 237169147*x?
-258031478
Find the second derivative of -8*h**4 + 2*h**3 + 430041*h**2 + 1911*h - 2702.
-96*h**2 + 12*h + 860082
Find the second derivative of 73*f**2*l**2*o**2 - 2*f**2*l - 65292*f**2*o**2 - 2*f**2*o - 4*f**2 + 2159*f*l**2*o + 179*f*l*o - f wrt o.
146*f**2*l**2 - 130584*f**2
What is the second derivative of -513531888*i**4 + 83931508*i?
-6162382656*i**2
Find the second derivative of -245*n**3*s**2 + 26*n**2*s**2 - 170*n**2 + 9*n*s**2 + 3*n - 1684*s**2 + 3*s wrt n.
-1470*n*s**2 + 52*s**2 - 340
Differentiate 292243400*f**2 + 157959657 with respect to f.
584486800*f
What is the derivative of 6087999*w**2 - w + 768008 wrt w?
12175998*w - 1
Find the second derivative of -775051151*q**2*v**3 + 2*q*v**3 - 2*q*v**2 - 19*q*v + v**3 - 47326 wrt q.
-1550102302*v**3
What is the third derivative of -10675799*s**3 - 237047*s**2 - 17*s?
-64054794
What is the first derivative of -357*y**4 + 6*y**3 - 2*y**2 + 2*y + 509133?
-1428*y**3 + 18*y**2 - 4*y + 2
Find the first derivative of -16341*k**3*q + 126*k**3 - 8998*k**2 - 31*q wrt q.
-16341*k**3 - 31
Find the second derivative of 6301747*z**2 - 2904450*z wrt z.
12603494
What is the third derivative of 227*a*d**4 + 2*a*d**3 + 7*a - 2*d**4 + 2756*d**3 + 136093*d**2 + d wrt d?
5448*a*d + 12*a - 48*d + 16536
Differentiate -384914*d**3*w + 11*d**2*w**2 + 7*w**2 + 323919*w with respect to d.
-1154742*d**2*w + 22*d*w**2
What is the third derivative of -712423130*i**6 + 87299200*i**2 wrt i?
-85490775600*i**3
What is the derivative of -10*d**2*g + 94136717*d**2 - 738761*d*g + g**4 wrt g?
-10*d**2 - 738761*d + 4*g**3
Find the second derivative of 361594124*d**2 - 2*d - 428301189.
723188248
Differentiate 14541*g**2*k + 2*g**2 - 236*g*k - 4*g + 368655*k + 80 with respect to g.
29082*g*k + 4*g - 236*k - 4
What is the second derivative of 6*q**2*u**2 + 15*q**2*u + 55609*q*u**2 - 119*q*u - 2*q + u**2 wrt u?
12*q**2 + 111218*q + 2
What is the third derivative of -3178*p**2*x**3 + 4269*p**2*x + 16*p*x**3 - 5*x**3 - 163*x**2 wrt x?
-19068*p**2 + 96*p - 30
What is the second derivative of 23*i**2*z + 3266109*i**2 + 22*i*z - 399*i - 21 wrt i?
46*z + 6532218
What is the first derivative of -9*j**4 + | {
"pile_set_name": "DM Mathematics"
} |
*(8/7) assuming v is positive.
v**22
Simplify (u/u**12*u*u/u**(-4)*u**(-1/3)*u*(u/(u*u**(-2/5)*u))/u)**(-3/17) assuming u is positive.
u**(89/85)
Simplify (y**6/y**(3/8)*(y*y/(y/(y**(-1/4)/y)))**(-8))**(-10) assuming y is positive.
y**(-305/4)
Simplify (((h/h**(-3))/(h*h**(-1/5)))**(6/7))**(-23) assuming h is positive.
h**(-2208/35)
Simplify ((s**1)**36/(s**8/(s/s**(-3))))**(2/7) assuming s is positive.
s**(64/7)
Simplify (((d*d**(-4/3))/(d**(-2/11)*d))/((d/(((d*d**(-5))/d)/d))/(d/(d/d**(-2/21)))))**14 assuming d is positive.
d**(-1270/11)
Simplify (i/i**(-6))**50/((i*i**(3/13))/(i*i*i**4*i)) assuming i is positive.
i**(4625/13)
Simplify ((l/(l**(-1/2)*l))**(8/7)*l**(-6/7)*l**(2/11))**(-31/5) assuming l is positive.
l**(248/385)
Simplify (((d/((d**2*d)/d))**(-6/17))**(1/9))**4 assuming d is positive.
d**(8/51)
Simplify ((t**(-1/2))**(-1/9)/(t*t**0)**28)**24 assuming t is positive.
t**(-2012/3)
Simplify n**(1/3)/(n**(-1/14)/n)*(n*(n/n**(-2))/n)**(-4/11) assuming n is positive.
n**(145/462)
Simplify (j*j**(7/3))**43*j/(j*j/(j*j/((j**(13/6)/j)/j*j)*j))*j/(j**(-2/5)*j) assuming j is positive.
j**(4337/30)
Simplify (((n*n**6*n)/(n/(n*n**0)))/(n**5*(n/n**(-6))/n))**(-40) assuming n is positive.
n**120
Simplify (a**(-4/7)*a*(a*a*a*a**(1/2))/a*((a/a**(2/9))/a)**(-19))**(-13/3) assuming a is positive.
a**(-11713/378)
Simplify ((n/n**2*n*n)**(20/9)*n**2/((n**(2/9)*n)/n))**33 assuming n is positive.
n**132
Simplify ((h/h**(1/12)*h)/h**(4/7))**36 assuming h is positive.
h**(339/7)
Simplify (h**0)**(-49)/((h**(3/7)/h*h)/(h**9*h)) assuming h is positive.
h**(67/7)
Simplify u**(1/19)*u/(u*u*u*(u/u**(-2/9)*u)/u*u*u*u)*(u*((u/((u/(u/u**(-10)*u)*u*u)/u))/u)/u)/((u/(u*u*u**12*u))/u) assuming u is positive.
u**(3220/171)
Simplify (((i*i**(-6/11))/i*i**(-2/5))**38)**(-36) assuming i is positive.
i**(71136/55)
Simplify c*c*c/c**9*c**(-1/6)*(c**(-4/7))**(-43) assuming c is positive.
c**(773/42)
Simplify (((p**(-1/4)*p)**(-41))**50)**(-1/4) assuming p is positive.
p**(3075/8)
Simplify f**5/f**(5/2)*(f/(f**(-1)*f))/(f*f**(-9/2)) assuming f is positive.
f**7
Simplify (k/((k/k**(-13/2))/k)*k)/k**15*(k**(-7)/k*k*k)/(k**(-10)*k) assuming k is positive.
k**(-33/2)
Simplify ((p*p/(p/(p*(p**(-4)*p)/p))*p*p**(-8)*p*p*p*p)/(p**(6/7)*p/(p/((p/(p**8*p*p))/p*p))))**(-16/3) assuming p is positive.
p**(-352/21)
Simplify (p**4/p)**42*(p/(p/((p**(-2/11)/p)/p)))**(6/37) assuming p is positive.
p**(51138/407)
Simplify (m**(-19/4)*m**(5/7))**2 assuming m is positive.
m**(-113/14)
Simplify (b**(1/4))**(-45)*(b/(b*b**3*b)*b)/b*b**0 assuming b is positive.
b**(-61/4)
Simplify (q/(q*q/q**(-8)))/(q*((q/(q**(-21)*q)*q)/q)/q*q*q)*(q**(3/2)*q)**(-28) assuming q is positive.
q**(-102)
Simplify o*o**(-11)*o**(-4/9)*o**10*o**(-15) assuming o is positive.
o**(-139/9)
Simplify (p/(p**4*p)*p*p**(-12))/((p**(-3)/p)/(p/p**(1/3))) assuming p is positive.
p**(-31/3)
Simplify (r*r*r*((r/(r*r**7*r))/r)/r*r*r)**(-45)*r**(-1/14)/(r/r**(-1/23)) assuming r is positive.
r**(72091/322)
Simplify ((p*(p/((p*p/p**3)/p))/p*p)/p)**(-10)*(p*p*p/(p/(p/(p*p/p**(-5/6)*p*p*p)*p)))/(p*p**6/p) assuming p is positive.
p**(-227/6)
Simplify h**(-1/4)/((h/h**(7/6))/h*h)*h*h**(-5/6)*h**9 assuming h is positive.
h**(109/12)
Simplify (x**(10/7)*x**17)/(x**(6/7)*x**(-3/4)/x) assuming x is positive.
x**(541/28)
Simplify ((n*n*n/n**(-2/19)*n*n*n/n**(2/17))/((n*n**(-1/7))/(n*n/(n*n**(-7)/n))))**18 assuming n is positive.
n**(575082/2261)
Simplify ((f/(f**(-1/4)*f))**6*f/(f**1/f*f)*f*f/f**(-10/9)*f)**(-7) assuming f is positive.
f**(-707/18)
Simplify x**(-1/7)/x**(-8/9)*(x*x*x*(x/x**(-3))/x*x)/(x/((x*x/(x/(x/(x*((x*x*x/(x/(x**(-5)*x))*x*x)/x*x*x)/x))))/x)*x) assuming x is positive.
x**(362/63)
Simplify (q**(-2/71)*(q/(q/(q/((q*q**(-1/37))/q*q))))/q)/(q/q**(-22/5)*q/q**(1/2)) assuming q is positive.
q**(-181293/26270)
Simplify ((x*x*(x*x/(x/(x/x**20)))/x*x*x*x)/x*x)**(-1/57)*(x**(2/3)/x)**17 assuming x is positive.
x**(-103/19)
Simplify (q**(4/5)*q)**(4/11)*(q/q**(-10/11))/q**11 assuming q is positive.
q**(-464/55)
Simplify j**(-2)*j**(-4/5)*(j/(j/(j**3*j)))**(1/22) assuming j is positive.
j**(-144/55)
Simplify ((t/((t**(2/41)/t)/t))/(t**(2/3)*t))/(((t**11/t)/t)/t**15) assuming t is positive.
t**(896/123)
Simplify (c/((c*(c*c**8)/c)/c))**(-4/31)/((c*c**(-1/20)/c)/c*c**(2/7)) assuming c is positive.
c**(7237/4340)
Simplify (s/s**9)/(s/(s/(s/s**(-1/2))))*s**(10/9)*s/(s*s*s**(-6/5)*s) assuming s is positive.
s**(-827/90)
Simplify ((x**(-8)/(x/(x/x**6)))/(x**(-2)*x*x*x**(5/2)/x))**(-3/13) assuming x is positive.
x**(93/26)
Simplify (((k/(k/(k**(2/9)*k*k)*k))/k*k)/k)**(-37)*((k/(k*k*k**9))/k)/k**17 assuming k is positive.
k**(-326/9)
Simplify (j*j**14/j)**(-12/11)*(j/(j/(j*j**9)))**(-15) assuming j is positive.
j**(-1818/11)
Simplify h*h**16*h/h**9*(h**(-12)*h)/h*h*h**(-12/7) assuming h is positive.
h**(-26/7)
Simplify ((r/(r*r**8)*r*r/(r*r**(-6/7)))/(r**(1/7)/(r**(-2/9)/r)))**(-1/12) assuming r is positive.
r**(473/756)
Simplify (v**(1/19)/(v/v**(1/12)))/((v*v*(v/(v**(-2/19)*v)*v)/v)/v**(-17)) assuming v is positive.
v**(-4553/228)
Simplify n**(-2/17)*n/(n*n**19)*n*n**11*n*n**(-2/11) assuming n is positive.
n**(-1178/187)
Simplify (d**(2/11)*d**(-20)/d)/(d**(1/17))**(-1/6) assuming d is positive.
d**(-23347/1122)
Simplify (t**(6/29)*t*t*t**(2/3))/((t/(t*t/(t*t**(-25)*t)*t))/(t/((t*t/(t*t**17)*t*t*t*t)/t)*t)) assuming t is positive.
t**(3730/87)
Simplify (r**(-2/9))**(-1/8)*(r/((r*((r/r**(2/27))/r)/r*r)/r))/r*r*r**(-1)/r*r assuming r is positive.
r**(11/108)
Simplify ((z*z**(-1))**(-18)*z*z/(z*z/((z*z**(-1/14))/z))*z/(z*z*(z*z/(z*z*z*(z/(((z/(z/z**(3/8)*z))/z*z)/z))/z)*z*z)/z))**49 assuming z is positive.
z**(217/8)
Simplify (m**(-2/15))**(18/5)/((m*m*m**(1/18)/m)/m**29) assuming m is positive.
m**(12359/450)
Simplify ((a*(a/(a*a**(2/11)))/a)/(a/a**(-3/7)*a))/(a**(-3))**(1/2) assuming a is positive.
a**(-171/154)
Simplify (((n*n*n**(-1))/n)/n)**(-27)*n**(1/5)*n/(n/(n*n/((n/(n*n*n/n**(1/6)))/n))) assuming n is positive.
n**(961/30)
Simplify (((a**5)**3)**24)**(-2/21) assuming a is positive.
a**(-240/7)
Simplify ((z*z*(z**(-2/5)*z)/z)/(z**7*z)*z**(-3)*z/(z*z**(-7)/z))**(-3) assuming z is positive.
z**(21/5)
Simplify (a/a**7*a/(a**(1/2)/a)*a)/((a*a**(-1/8)/a)/((a/(a/(a/a**(7/3))))/a)) assuming a is positive.
a**(-137/24)
Simplify (d**(3/5))**(2/31)/(d/(d/(d/(((d/(((d/(d**(-11)*d))/d)/d))/d)/d)))*d**(-10/9)) assuming d is positive.
d**(-13741/1395)
Simplify (f/((f/f**(1/14))/f))/f*f**4*f*(f/(f/(f*f/(f*(f*f**21)/f)*f*f)))/f*f**(-29)*f*f assuming f is positive.
f**(-573/14)
Simplify ((s**(-1/4)/s)**(-16)/((s/(s**(2/13)/s))/s**6))**4 assuming s is positive.
s**(1256/13)
Simplify ((s**33)**(1/2))**(-5/9) assuming s is positive.
s**(-55/6)
Simplify (l/(l**(7/6)/l))**(-30)*l/((l/l**(-22))/l)*l**(-26)/l assuming l is positive.
l**(-73)
Simplify (x**(-5)*x)/(x/(x/x**(-3/4)))*x*x**(-4/7)*x**0 assuming x is positive.
x**(-79/28)
Simplify (y*y*y*y**4/y*y*y*y*y)**(-37)*(y**5/y)**43 assuming y is positive.
y**(-198)
Simplify (x/(x*x*x**(-3)*x)*x)**(-48)/((x*x**7)/(x/x**(-2))) assuming x is positive.
x**(-101)
Simplify p**(-7/4)/(p/p**(11/2))*(p/(p*p**10)*p)/(p*p/((p/p**14)/p)) assuming p is positive.
p**(-89/4)
Simplify (x**(-2/5))**(-33)/(x**(-2/3)*x)**(-17/6) assuming x is positive.
x**(1273/90)
Simplify ((u*u**(-6))/u**3)/((u/(u/(u*u/((u*(u*u**3)/u)/u)*u*u))*u)/u)**(-2) assuming u is positive.
u**(-6)
Simplify (j/j**5)/j**8*(j**(-2))**(2/105) assuming j is positive.
j**(-1264/105)
Simplify (r*r**39)/r**(-4/9)*(r/r**(-8/3))/(r**31/r) assuming r is positive.
r**(127/9)
Simplify ((p*p/p**(-1/11)*p)/p**(2/21))**(1/28) assuming p is positive.
p**(173/1617)
Simplify (i/(i/(((i*i/i**(1/12))/i)/i)))/(i*i**(3/7)*i)*i**6/((i**(8/3)/i)/i) assuming i is positive.
i**(79/28)
Simplify z**(2/3)*z**(-17)*(z*z**(-3/2))/z*z/(z**3/z) assuming z is positive.
z**(-113/6)
Simplify (((q*q**28)/q)/q**(-1/45))**(-10/17) assuming q is positive.
q**(-2522/153)
Simplify (t**(-9)*t**(3/7)*t)/(t**(-2/31)*t**(-1/30)) assuming t is positive.
t**(-48653/6510)
Simplify ((((y/((y*y**(-22))/y*y))/y)/y)/y*y**(-10)*y)**(-4) assuming y is positive.
y**(-40)
Simplify ((p**(-1/3)*p**(1/9))/(p*p*p**0*p)**(7/3))**(-31) assuming p is positive.
p**(2015/9)
Simplify ((w*w**(-3/4)/w)/w)**18*(w/(w | {
"pile_set_name": "DM Mathematics"
} |
wfw.
0
What is prob of sequence zls when three letters picked without replacement from szlkb?
1/60
Four letters picked without replacement from {g: 6, x: 5, o: 1, v: 2, q: 1, j: 2}. Give prob of sequence ojvj.
1/14280
Two letters picked without replacement from {o: 5, e: 1, f: 5, y: 6}. Give prob of sequence ef.
5/272
Three letters picked without replacement from {f: 2, y: 1, t: 1, x: 4, o: 3, c: 1}. What is prob of sequence oto?
1/220
Three letters picked without replacement from tjjtttjjtt. Give prob of sequence ttj.
1/6
Three letters picked without replacement from {p: 6, q: 2, s: 10, g: 2}. Give prob of sequence sgg.
1/342
What is prob of sequence aj when two letters picked without replacement from {j: 14, a: 5}?
35/171
Two letters picked without replacement from {m: 6, y: 13}. What is prob of sequence my?
13/57
Calculate prob of sequence gu when two letters picked without replacement from {g: 2, l: 5, y: 9, u: 3}.
1/57
Two letters picked without replacement from {f: 10, j: 2}. What is prob of sequence ff?
15/22
What is prob of sequence jbqq when four letters picked without replacement from {q: 4, b: 4, j: 6}?
12/1001
Calculate prob of sequence rr when two letters picked without replacement from {j: 1, r: 5, m: 4}.
2/9
What is prob of sequence tt when two letters picked without replacement from rtttttttttr?
36/55
Calculate prob of sequence zzzz when four letters picked without replacement from {z: 7}.
1
Four letters picked without replacement from {l: 4, r: 3, c: 4}. What is prob of sequence lrcc?
1/55
What is prob of sequence qq when two letters picked without replacement from {u: 1, q: 2, w: 2, i: 7, f: 5, t: 3}?
1/190
Four letters picked without replacement from zzzzzzzuzzzzrzzzzz. Give prob of sequence zuzz.
7/153
Two letters picked without replacement from vvvvuvououomouv. What is prob of sequence ou?
8/105
Three letters picked without replacement from {b: 2, r: 1, q: 2, j: 1, x: 1, w: 1}. What is prob of sequence xqr?
1/168
What is prob of sequence oo when two letters picked without replacement from {u: 2, o: 1, x: 1, q: 2, z: 1}?
0
Two letters picked without replacement from {s: 1, u: 1, i: 1}. Give prob of sequence iu.
1/6
What is prob of sequence jj when two letters picked without replacement from bbjbbjbbbbbbjjbbbbbj?
1/19
Calculate prob of sequence kmj when three letters picked without replacement from {d: 4, w: 3, k: 2, y: 1, j: 4, m: 1}.
4/1365
Three letters picked without replacement from {a: 3, z: 2, h: 1, i: 6, n: 1}. What is prob of sequence zii?
5/143
Two letters picked without replacement from {s: 4, q: 1, r: 3, a: 11}. What is prob of sequence ra?
11/114
Calculate prob of sequence addo when four letters picked without replacement from {o: 5, d: 4, a: 2}.
1/66
What is prob of sequence mhm when three letters picked without replacement from hmhhhmhmhhmhhh?
5/91
Calculate prob of sequence ava when three letters picked without replacement from {n: 2, v: 2, a: 5, w: 3, f: 3}.
4/273
What is prob of sequence ror when three letters picked without replacement from rooorrorroorrrooooor?
11/95
Three letters picked without replacement from pieyyyyi. What is prob of sequence yii?
1/42
Two letters picked without replacement from {d: 1, g: 1, j: 1, b: 1, a: 1}. What is prob of sequence bg?
1/20
Three letters picked without replacement from {z: 7, m: 3}. Give prob of sequence mzm.
7/120
Calculate prob of sequence oo when two letters picked without replacement from oooooocceo.
7/15
Four letters picked without replacement from {w: 2, x: 1, r: 3, p: 1, q: 2, b: 3}. Give prob of sequence xbwp.
1/1980
Four letters picked without replacement from {s: 2, e: 3, n: 4, x: 8, j: 2, a: 1}. What is prob of sequence xsjj?
4/14535
Two letters picked without replacement from hhpm. What is prob of sequence pm?
1/12
What is prob of sequence cqcj when four letters picked without replacement from {c: 6, t: 1, q: 3, j: 2}?
1/66
Three letters picked without replacement from oalebabnnba. Give prob of sequence nba.
1/55
What is prob of sequence qb when two letters picked without replacement from nbqbbnd?
1/14
Calculate prob of sequence we when two letters picked without replacement from sseewkseheezh.
5/156
Three letters picked without replacement from {p: 1, t: 2, y: 2, o: 1}. What is prob of sequence tot?
1/60
Calculate prob of sequence bn when two letters picked without replacement from nnbbobbfbob.
6/55
Four letters picked without replacement from {c: 1, p: 1, o: 1, v: 1, f: 1}. What is prob of sequence pfov?
1/120
Calculate prob of sequence qcq when three letters picked without replacement from qqqqqqcqqqcc.
9/55
What is prob of sequence xs when two letters picked without replacement from {x: 4, s: 6}?
4/15
Four letters picked without replacement from tqututqqmqyqtqmuq. What is prob of sequence uquu?
1/1360
Calculate prob of sequence aqa when three letters picked without replacement from {a: 3, q: 2}.
1/5
What is prob of sequence vr when two letters picked without replacement from vrvvvvrv?
3/14
Three letters picked without replacement from {s: 1, y: 2, a: 2, g: 2, p: 1}. What is prob of sequence gyp?
1/84
Three letters picked without replacement from tjtjjt. Give prob of sequence jjj.
1/20
Two letters picked without replacement from {u: 6, j: 5, m: 3, d: 5, t: 1}. What is prob of sequence td?
1/76
What is prob of sequence wwd when three letters picked without replacement from dww?
1/3
What is prob of sequence lll when three letters picked without replacement from lllllllllvll?
3/4
Calculate prob of sequence gpgg when four letters picked without replacement from gpggpggggggg.
4/33
What is prob of sequence ngen when four letters picked without replacement from {e: 6, g: 4, n: 10}?
6/323
Two letters picked without replacement from {t: 1, z: 5, h: 4}. Give prob of sequence tz.
1/18
Calculate prob of sequence se when two letters picked without replacement from {s: 3, m: 2, e: 10, v: 1}.
1/8
What is prob of sequence xx when two letters picked without replacement from {d: 5, x: 3, s: 5}?
1/26
What is prob of sequence qt when two letters picked without replacement from {t: 1, q: 2, d: 3, i: 1, x: 5}?
1/66
Four letters picked without replacement from wwlw. What is prob of sequence llww?
0
What is prob of sequence gdpz when four letters picked without replacement from wpzwgdgf?
1/840
Calculate prob of sequence kq when two letters picked without replacement from {h: 4, l: 2, o: 6, q: 1, k: 2}.
1/105
Calculate prob of sequence wemw when four letters picked without replacement from {w: 4, m: 3, e: 5}.
1/66
Two letters picked without replacement from {n: 7, j: 2, z: 5}. Give prob of sequence nz.
5/26
Two letters picked without replacement from vviviiiiii. Give prob of sequence vi.
7/30
What is prob of sequence zgd when three letters picked without replacement from gkddzdgddzkddgddgz?
3/136
Three letters picked without replacement from {n: 1, v: 4, r: 5, o: 6}. What is prob of sequence vvv?
1/140
Three letters picked without replacement from {g: 2, d: 1, z: 3, e: 3, m: 6}. What is prob of sequence egz?
3/455
Calculate prob of sequence za when two letters picked without replacement from {a: 18, z: 1}.
1/19
Two letters picked without replacement from bbjmjjbbbjmmj. What is prob of sequence bj?
25/156
What is prob of sequence gccg when four letters picked without replacement from sgcgcccsccsmsccsgs?
7/1530
Four letters picked without replacement from {m: 3, j: 8}. Give prob of sequence jmmj.
7/165
Calculate prob of sequence uumn when four letters picked without replacement from {z: 3, m: 3, y: 2, k: 3, u: 5, n: 3}.
5/2584
Two letters picked without replacement from {x: 1, t: 1, d: 1, c: 1, a: 1}. Give prob of sequence da.
1/20
What is prob of sequence pr when two letters picked without replacement from {p: 10, r: 9}?
5/19
Calculate prob of sequence jljl when four letters picked without replacement from {j: 3, l: 15}.
7/408
What is prob of sequence vgt when three letters picked without replacement from ggdtvtggtttvtt?
1/39
Three letters picked without replacement from qtutmirr. What is prob of sequence trq?
1/84
Three letters picked without replacement from {z: 12, h: 1}. What is prob of sequence zzz?
10/13
Three letters picked without replacement from zjdjjjdjddjjdj | {
"pile_set_name": "DM Mathematics"
} |
*3/3 + o - 65. Give l(t).
10
Let d(w) be the first derivative of -3/2*w**2 - w + 5. Let h(s) = -s**3 + 5*s**2 - s + 4. Let r be h(5). What is d(r)?
2
Let c(o) = -o**3 + o**2 - 1. Let z(t) = -t**3 + 6*t**2 + 3*t - 2. Let j(l) = -2*c(l) + z(l). Calculate j(-3).
0
Let o be (-4)/(-4)*-1*-4. Let m(h) be the third derivative of h**7/2520 - h**6/360 + h**5/60 - h**2. Let c(q) be the third derivative of m(q). What is c(o)?
6
Let q = 6 - 8. Let o(j) = -2*j**2 - 6*j + 1. Let n(v) = v. Let p = -4 - -5. Let f(c) = p*o(c) + 5*n(c). Determine f(q).
-5
Let x(v) = -2*v + 1. Suppose 14 - 54 = -5*n. Let y = 12 - n. Determine x(y).
-7
Let z(w) = -4*w. Let b = 10 - 7. Suppose -2 = -3*s - 4*p, 2*s + 0*s - p + 6 = 0. Let u = b + s. Calculate z(u).
-4
Let g be (-2)/3*(-81)/6. Suppose 2*c + c = g. Let q(y) = y - 4 + c + 2*y. Calculate q(-1).
-4
Suppose 3*v = 3*z + 24, 0*v + 2*z + 1 = -3*v. Let i(n) = n - n**2 + 0 - v - 6*n. Let u(w) = w**2 + 6*w + 3. Let l be u(-2). Determine i(l).
-3
Let t(r) = 5*r**2 + 3 + 2*r**3 - 4*r**2 + 2*r + 0 - r**3. Determine t(-2).
-5
Let x(w) = -11*w**2 + 6*w + 17. Let j(p) = -5*p**2 + 3*p + 8. Let l(d) = -9*j(d) + 4*x(d). Give l(5).
6
Let y(a) be the first derivative of -a**2 - a + 4. Give y(-3).
5
Let k(z) = -z**2 - 4*z. Let q(a) = -3*a**2 - 14*a. Let o(b) = -7*k(b) + 2*q(b). Calculate o(2).
4
Suppose -24 - 63 = -4*i + u, 3*i = -u + 67. Suppose -4*n + 17 = -f, -2*f - n - i = 3*f. Let p(y) = y**3 + 6*y**2 + 3*y - 5. What is p(f)?
5
Suppose 3 + 10 = -p. Let f be p/(-5) - 4/(-10). Let r(v) = v**2 - 2. What is r(f)?
7
Let i(x) = -5*x. Let b(y) = 4*y + 3. Let s be b(-3). Let p = 3 + s. Let m be ((-3)/p*2)/(-1). Give i(m).
5
Let x = -107 + 103. Let m(a) = -a**2 - 6*a + 5. Calculate m(x).
13
Let x(c) = -c**2 - 2*c + 2. Let y be 16/40 - (-51)/(-15). Determine x(y).
-1
Let a(l) = l**2 + 7*l + 1. Let z(c) = 4*c - 41. Let s be z(9). What is a(s)?
-9
Let p = 1 + 0. Let o(s) = 2*s - 1 - p + s**3 + 3*s**2 + 0*s**3 - 3*s. Calculate o(-3).
1
Let a = -19 + 12. Let c = a - -4. Let q(o) = 2*o**2 + 2*o + 4. Let s(x) = -x**2 - x. Let n(g) = q(g) + 3*s(g). Determine n(c).
-2
Let d(v) be the first derivative of v**5/120 + v**4/8 - 3*v**3 - 7. Let i(t) be the third derivative of d(t). Determine i(-3).
0
Let v(h) = 11*h**2 - 21*h + 6. Let x(k) = 4*k**2 - 7*k + 2. Let n(s) = 3*v(s) - 8*x(s). Calculate n(7).
2
Let q(m) be the second derivative of -m**3/2 + 5*m**2/2 - 4*m. Let a be (-42)/10 + 13/65. Determine q(a).
17
Suppose 5*r = 2*o + 15, -o = -5*r - 4 + 19. Let q(t) = -6*t + 2*t + r*t + 0*t + 5. Calculate q(-4).
9
Let q be 3/2*-4*(-12)/9. Let i(a) = a**2 - 5*a - 11. What is i(q)?
13
Let a(k) = -k**3 + 3*k + 1. Let p be (-69)/(-46)*(-8)/6*1. What is a(p)?
3
Let z(h) be the third derivative of -h**6/120 + 3*h**5/20 - 7*h**4/24 - 5*h**3/3 - 20*h**2. Calculate z(8).
-2
Let z(c) = c - 1. Let i be z(-4). Let r be (3/9)/(1/6). Let t(k) = k + 2*k - 4*k - r + 0. Give t(i).
3
Let d(n) = -3*n**3 + 2*n**2 + n. Suppose -2*l = -l - 6. Let p be (2/l)/(4/(-12)). Give d(p).
4
Let g(w) be the third derivative of 0 + 0*w - 1/120*w**6 - 2*w**2 + 1/15*w**5 + 1/3*w**3 + 0*w**4. Give g(4).
2
Suppose 62 = 12*f + 14. Suppose v - 15 = -4*q, -5*v + 3*q = 1 - 7. Let p(u) = 4*u**3 + f*u + 2 - 5*u**v - 4*u**2 + 5*u - 3*u. Determine p(-5).
-3
Let q(d) = 0*d**2 - d - 11*d**3 + 4*d**2 + 1 - d - 2*d**2. What is q(1)?
-10
Let n(u) = -6*u**2 + u. Let h = -1 - -2. Let t = -3 - h. Let c = 3 + t. Determine n(c).
-7
Let x(o) = o - 3. Let d = 40 + -37. Determine x(d).
0
Let g(c) = c**3 + 4*c**2 - c - 3. Let r(i) = -i**3 - 7*i**2 - 6*i + 5. Let j be r(-6). Suppose l + 29 = -0*l - j*x, -5*l = x + 25. What is g(l)?
1
Suppose -6*i + 6 = -5*i. Let s(o) = 5*o + i - 4*o**2 - 10 + 2*o**2. Suppose -2*p = -6*p + 12. What is s(p)?
-7
Let z be (-58)/(-14) + (-7)/49. Suppose 35 = -z*t - t. Let b(o) = o**2 + 8*o + 6. Determine b(t).
-1
Let d(f) = -2*f**3 + f**2 + 3*f - 1. Let j(x) = 0*x**3 - x**3 - 3*x + 5*x + x**2. Let o(n) = -2*d(n) + 5*j(n). Let l be (-2)/(2 - (-10)/(-4)). Determine o(l).
2
Suppose -u = 2*u - 5*i - 48, -2*i + 90 = 4*u. Suppose -5*s - 4*k = -30, u = 4*s - s + 3*k. Let q(v) = -2*v + 2*v + v**3 + 1 - 2*v**2. What is q(s)?
1
Let x = 2 + 2. Let j(a) = a - 7. Let b(h) be the third derivative of h**4/8 - 10*h**3/3 - h**2. Let m(k) = x*b(k) - 11*j(k). Calculate m(2).
-1
Let s(l) be the third derivative of -l**8/6720 - l**7/2520 + l**6/180 - l**5/120 + 5*l**4/24 - 7*l**2. Let k(o) be the second derivative of s(o). Give k(-3).
5
Let y(m) = -m - 6. Suppose 0 = -2*g, -g - 3 = -5*z - 23. Let q = z + 8. Suppose -2*k = -r - 0 - 4, r = -2*k - q. Give y(r).
-2
Let s(f) = -f**2 + 6*f + 1 - 8*f + f. Calculate s(-5).
-19
Let c(f) = 9 - 9 - f. Let d(g) be the third derivative of -g**5/60 + 5*g**4/12 - 5*g**3/6 + 2*g**2. Let q(y) = 5*c(y) + d(y). Determine q(4).
-1
Let v(n) be the third derivative of 7/6*n**3 + 0*n + 0 - 4*n**2 - 1/12*n**4. Let z = 12 - 7. Calculate v(z).
-3
Let d be (-34)/10 + 18/(-30). Let w(j) = -3*j - 7. Let v(l) = -l - 1. Let g(t) = v(t) - w(t). Calculate g(d).
-2
Let j(o) = -14*o + 20. Suppose 0 = -2*q - 3*g + 3, q - 5*q + 5*g + 17 = 0. Let d(b) = 2*b + 2*b - 2*b - 7 + q*b. Let n(f) = -11*d(f) - 4*j(f). What is n(3)?
0
Let s(m) = -m**2 - 2*m + 7. Let f be (-2 + -1 - (-72)/40)*5. Determine s(f).
-17
Let n = -3 - -5. Suppose -2 = -n*b - 0*b. Let t(y) = -3 + 5 - y + b. Calculate t(-4).
7
Let s(p) be the second derivative of p**3/6 + p**2 - 16*p. Give s(-5).
-3
Let n be (-10)/4*(-10)/5. Let h(y) = 2*y**2 - y**3 + 4*y**2 + y - 2 + n. Give h(6).
9
Let o(g) be the third derivative of g**5/60 - g**4/4 - 6*g**2. Calculate o(5).
-5
Let l = -53 + 49. Let x(p) = p**3 + 3*p**2 - 5*p + 1. Calculate x(l).
5
Let n(s) = -s**2 - 5*s - 4. Let t(l) = -2*l - 3. Let a be t(-3). Suppose -a*i - 5 - 4 = 0. Give n(i).
2
Let y(c) = -c**3 - c**2 - c + 1. Let m(x) = -2*x**3 - x**2 - 7*x + 1. Let k(n) = m(n) - y(n). Let q(v) = v. Let p(h) = -k(h) - 6*q(h). What is p(-1)?
-1
Let c(k) be the third derivative of -k**5/60 - 11*k**4/24 - 5*k**3/6 - 25*k**2. Determine c(-10).
5
Let t be (-4)/(-8) - 3/(-2). Let n(a) = -8 - 2 - t*a + 2. Give n(-6).
4
Let d(f) = f + 1. Let q(c) = 4*c + 4. Let n(i) = 7*d(i) - 2*q(i). Let g be (-3 + 0)*(-2)/(-1). Give n(g).
5
Let m(y) = -y**2 + 4*y + 2. Let l be 3 - ((-9)/3)/(-1). Let f = -4 - l. Let w be (-12)/18*18/f. What is m(w)?
5
Let d(b) be the second derivative of -b**3/6 - 3*b**2 - 23*b. Suppose l + 3*l + 24 = 0. What is d(l)?
0
Let s(x) = -4*x**2 - 3*x - 4. Let n(v) = 7*v**2 + 5*v + 7. Let k(a) = -3*n(a) - 5*s(a). Let j be 2/(2 - 0)*0. Calculate k(j).
-1
Let t(d) be the first derivative of 5*d**2/2 - 8. Determine t(-2).
-10
Let h = -3 - -7. Suppose c = 2*z + h, -3*c + 13 - 1 = -2*z. Let d(a) = -a**3 + 3*a**2 + 3*a. Calculate d(c).
-4
Let m(b) = 6*b**3 - 2*b**2 + 2*b - 1. Let o be m(1). Let w(l) = l**2 - 2*l - 2. Calculate w(o).
13
Let f(s) = -s**3 + s**2 - 1. Let q be 8/14 - (96/(-21))/(-8). What is f(q)?
-1
Let u be (-18)/14 + 2/7. Let c = u + 5. Let a(w) = -w**2 + 4*w - 2. Calculate a(c).
-2
Let g(k) = -10*k. Suppose -6*z = -4*z + 2. Let b be (3 + 0)/(z + 2). Suppose -b*s + s - 2 = 0. What is g(s)?
10
Let i be (-1)/1 - 1*-3. Let l(j) = j**2 - 10*j + 1. Let y be l(10). Let z(c) = y + i*c - 1. Give z(-2).
-4
Let u = -66 + 71. Let r(o) = o**2 - 5*o. Calculate r(u).
0
Let z(h) = h - 4. Suppose -3*m - 9 = 3*n, 2 = 3*n + m + 5. Suppose 3 + n = x. What is z(x)?
-1
Let i(n) = n**2 - 4*n + 2. Suppose z - 5*u = -15 - 4, 3*z - 5*u + 7 = 0. Give i(z).
14
Let w = -554 - -33241/60. Let h(n) be the third derivative of 0*n - w*n**5 + 3*n**2 + n**3 + 0 + 1/6*n**4. Give h(5).
1
Let z(a) = a - 2. Let k(l) = -l - 9. Let g(c) = -k(c) + 4*z(c). Give g(4).
21
Let q(h) = h**2 - h. Suppose 4*p - 2 = 14. Suppose 3 = 3*d + p*f, 0 = 5*d + 2*f - 5. Give q(d).
0
Let t(h) = -h + 1. Let p(r) = 6*r - 1. Let f(q) = p(q) + 4*t(q). Let b be (0 + 0)/(-4 + 2). Let j be (-5)/((-10)/6) + b. What is f(j)?
9
Let m(w) be the third derivative of w**4/24 - 7*w**3/6 - w**2. Calculate m(0).
-7
Let h(y) = -y - 1. Let s = 27 + -9. Let w = 30 - 43. Let v = s + w. Give h(v).
-6
Let g(w) = 22*w - 1. Let j(d) be the second derivative of -5*d**3/2 + d**2/2 + 3*d. Let t(r) = 5*g(r) + 7*j(r). Calculate t(-2).
-8
Let o be -1 + 4*2/2. Let c( | {
"pile_set_name": "DM Mathematics"
} |
6
Let b = -2/1385 - 3597/2770. Let m = -1843 - -12944/7. Find the common denominator of m and b.
70
Let f be ((-63)/(-33))/((-13)/191). Let y = -302/13 - f. What is the common denominator of ((-1)/(-5))/(3/129) and y?
55
Let o = 88003/12 + -7339. Find the common denominator of o and 61/12.
12
Let i be (-9)/(-15) + 1182/30. Suppose -2*v + 6*v = i. Calculate the lowest common multiple of v and 12.
60
Let g = -16 - -22. Calculate the common denominator of -47/8 and (3/54)/(g/(-153)).
24
Let p(n) = n**2 + 8*n - 12. Suppose 6*z - 40 = 2*z. What is the lowest common multiple of p(-10) and z?
40
Calculate the common denominator of 2 - 1 - (-54)/(-20) and 5/(24/15 + -2).
10
Let a = -32 + 36. What is the smallest common multiple of 7 and a?
28
Suppose 0*b = 5*b + 40. What is the lowest common multiple of 12 and 2/b - 41/(-4)?
60
Suppose -2*c + 3 = -3. Suppose -2*d - 2*d + c*g + 24 = 0, -5*g = -5*d + 25. What is the smallest common multiple of d and 1?
9
Find the common denominator of -1 - -1 - (-108)/40 and 903/(-210) - 6/(-2).
10
Let g = 16 + -6. Let n be (-2)/8 - 2/(-8). Let x = 16 + n. Calculate the least common multiple of g and x.
80
Let r(o) = -1 - 9*o + 3*o**2 - o**3 + 4*o**2 + 2*o**3. Calculate the smallest common multiple of 10 and r(-8).
70
Let b(i) = i**2 - 13*i + 15. Let z be b(12). What is the least common multiple of 20 and 40/((-12)/z)*-1?
20
Suppose -5*t + 3*l + 53 = 0, -4*t - l = -3*t - 17. What is the least common multiple of 10 and t?
130
Suppose 9*k = 7*k + 24. What is the least common multiple of k and 9?
36
Let a(q) = -5*q. Let d be a(-2). What is the common denominator of 50/9 and ((-4)/50)/((-2)/d)?
45
Let q(f) = f**2 - 3*f - 5. Let u be q(5). Suppose -u*b + b = -5204. Let k = -7775/6 + b. Calculate the common denominator of 17/4 and k.
12
Suppose -y = 14 + 6. What is the smallest common multiple of 9 and 6/(y/8 + 4)?
36
Calculate the smallest common multiple of (-8)/(-40) - (-49)/5 and 5.
10
Let i = -4/109 - 1159/1090. Let x be 3/((-27)/(-5))*14962. Let y = 8304 - x. Find the common denominator of i and y.
90
Suppose 0 = -z - 4*q + 18, 0*z = -2*z - 5*q + 36. Suppose 2*c = -6, 2*t - t = 5*c + 19. Calculate the least common multiple of z and t.
36
Let g be (-751)/36 + 6/(-27). Let i = g - -53/4. What is the common denominator of i and (-6)/15 - (-202)/180?
18
Let y = -304/55 + 283/110. Let f(a) = a**2 + 5*a. Let t be f(-6). Calculate the common denominator of t/4*(-49)/12 and y.
88
Find the common denominator of 33/8 and ((-12)/(-20))/(14/185).
56
Let x = -25/242 + -4/121. Calculate the common denominator of -5 and x.
22
Let r = -1458 - -2973/2. Calculate the common denominator of 5/2 and r.
2
Let l = -854 - -6849/8. Let k = 1886/3 - 2525/4. Calculate the common denominator of k and l.
24
Let f = 8 - 8. Suppose f = -3*s + 6*s - 6. Suppose -5*h - 2 = -4*o, 0 = -2*h - 2*h - s*o + 14. Calculate the smallest common multiple of h and 8.
8
Let i be 4/2 - (-6274)/(-715). Let z = 204/65 + i. Calculate the common denominator of 1/4 + 1/56*426 and z.
77
Suppose 0*w + 3 = w. Suppose 0 = f - 7 - 4. What is the lowest common multiple of w and f?
33
Suppose -4*s - 11 = 29. Calculate the common denominator of (2/(-4)*71)/(-3) and ((-13)/(-6))/(s/(-18)).
30
Let h = -833731/24 + 34745. Calculate the common denominator of -64/3 and h.
24
Let z be 91/(-7) + (-1 - -2). Find the common denominator of -45/14 and 282/(-4)*2/z.
28
Suppose -3*g + 8*g - 10 = -2*p, 2*g = -p + 3. Let k(q) = -q**3 - 4*q**2 + q - 4. What is the least common multiple of k(p) and (-516)/(-54) + (-8)/(-18)?
80
Suppose -2*r = -2*i + 16, -i - 2*r - 2 = 2*r. Let l(f) = f + 19. What is the least common multiple of i and l(-9)?
30
Let v = 2012522/541 - 3720. Let h = v + -23299/9738. Let t = -4175/384 - -37/128. What is the common denominator of h and t?
36
Let z = -1/18584 - -687629/390264. What is the common denominator of z and 11/18?
126
Let k = 2593/3 + -887. Let h = -10 + 15. Find the common denominator of (-153)/60*h/2 and k.
24
Let l be -72*((-1)/3 - -1). Let o = -28 - l. What is the common denominator of 226/o + (-3)/3 and 47/20?
20
Suppose 0 = 2*j - 0*j - 18. Calculate the smallest common multiple of j and 7.
63
Suppose 91 + 21 = 7*b. Calculate the least common multiple of 44 and b.
176
Let o be (5 - 2)/(12/8). Suppose -o*n - 10 = -3*n. Calculate the lowest common multiple of 3 and 0/(2/2) + n.
30
Let i(n) = n**3 - 2*n**2 + 2*n - 2. Let b be i(2). Let m be 2/(-4)*0/b. Suppose 2*w + m = 2. What is the lowest common multiple of w and 1?
1
Suppose -4*s + 3*c + 18 = 0, 4*c = 3*s + 4 - 21. Suppose 24 = -2*b + 5*l, 0 = s*b + l + 56 - 3. Let u = b + 37. What is the least common multiple of 22 and u?
220
Suppose -2*a = 4*c - 62, 5*c - 4*a = 42 + 42. What is the lowest common multiple of c and 20?
80
Let j = -882 + 17653/20. Find the common denominator of j and -85/64.
320
Calculate the least common multiple of 22 and (80/5)/(0 + 1).
176
Suppose -4*g = -6*g + 28. Calculate the smallest common multiple of 6 and g.
42
Let n(y) = -2*y**3 + 23*y**2 + 14*y - 10. Calculate the lowest common multiple of 16 and n(12).
112
Suppose -2*r - 52 = -3*g, 4 + 0 = r. Let y = -16 - -38. What is the least common multiple of g and y?
220
Let g = 22220/699 - 697931/28892. Let q = g + 14/31. What is the common denominator of 91/24 and q?
24
Let p = -77557/10 - -7762. Find the common denominator of p and 1 + -1 + -1 + 51.
10
What is the common denominator of -2 - 605/30 - 3 and 47/6?
6
Let v(j) = 3*j**2 + 4*j + 2. Suppose -5*u + 62 = 4*b, -4*b - 27 = -5*u + 11. What is the smallest common multiple of u and v(-2)?
30
Let b(o) = -o**3 - 7*o**2 - o - 4. Let p be b(-7). Suppose 3*i - 45 = -p*k, -k - 3*i = -4*i - 21. Calculate the smallest common multiple of k and 2.
18
Let y(q) = 3*q**3 - 6*q**2 + 5*q - 1. Calculate the lowest common multiple of 9 and y(2).
9
Let y be ((-3)/4)/(3/12). Let r be (4/4)/(1/y). Calculate the common denominator of (-490)/(-12) - 2/r and 95/4.
4
What is the common denominator of -7/13 and (-1 + 312/(-30))/(2/2)?
65
Let s(j) = -j**2 + 6*j - 5. Let o be s(4). Suppose 2*m = 10, o*k - 45 = -5*m + 46. Calculate the smallest common multiple of k and 16.
176
Let o(l) = 2*l + 1. Let h(u) = u - 1. Let r(f) = -3*h(f) + o(f). Let p be r(3). Let w = p - 0. Calculate the lowest common multiple of w and 3.
3
Let r(m) be the third derivative of -m**4/2 - m**3/6 + m**2. Let g be (9/(-6))/((-12)/(-8)). What is the least common multiple of 6 and r(g)?
66
Let p = 8 - 2. Suppose -y = v - 6, 0 = v - 2*y - p. Calculate the least common multiple of 22 and v.
66
Let z(c) = -c**3 + 5*c**2 + 8*c - 4. Let b be z(6). Let i = -2/93 - -343/93. Calculate the common denominator of 2/(-4) + 97/b and i.
24
Suppose 5*c = 4*d + 4 - 19, -5*c + 35 = d. What is the least common multiple of 10 and d?
10
Let l be 7/(28/24) - -3. What is the smallest common multiple of 23 and 6*(-2)/((-12)/l)?
207
Suppose 5*d = -u - 9, -d = -5*d + u. Let x be ((-10)/8)/(d/(-12)). What is the least common multiple of 10 and 10*(36/x)/(-3)?
40
Let g = -9 - -10. Suppose g = d + h, -4*d + 2*d + h = -2. Calculate the lowest common multiple of 5 and d.
5
Suppose 3*z - 8 = z. Suppose 4*b - 4 = -j - 3*j, -b - 24 = -z*j. Let t = b - -8. What is the smallest common multiple of t and 16?
16
Suppose 0 = 4*f + 8, -3*h - 2*f = h. What is the common denominator of (20/192)/(h/3) and -115/6?
48
Let b = 35 - 30. What is the least common multiple of 7 and b?
35
Let x = 91 + -71. Calculate the least common multiple of 44 and x.
220
Let b = 18 + -17. Suppose 4*d + 4 = -4*x, -5*x - 2*d + 11 = -d. Calculate the smallest common multiple of x and b.
3
Let w(h) = h**3 - 5*h**2 + 8. Let k be w(4). Let i(f) = -7*f**2 - 5*f - f**3 + 7*f + 8 + 6*f. What is the lowest common multiple of 2 and i(k)?
8
Let r = 15 - 11. Suppose r*y = -37 - 115. Calculate the common denominator of y and ((-142)/40)/((-2)/4).
10
Suppose y + i = 2*y + 380, y = 4*i - 392. Let n = 2995/8 + y. Find the common denominator of -16/3 and n.
24
Suppose -3*d - 5*k = 16, -4*k + 3*k - 11 = -2*d. Let r be (-36)/272*(-14)/d. Let u = 2131/340 - r. Find the common denominator of u and 57/20.
20
Calculate the lowest common multiple of (-20)/130 - 160/(-26) and 2.
6
Let l(a) = -7*a - 4. Let g be l(-4). Su | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 12378928.
2, 773683
List the prime factors of 84835.
5, 19, 47
What are the prime factors of 15404?
2, 3851
What are the prime factors of 9297843?
3, 53, 58477
List the prime factors of 158332.
2, 23, 1721
What are the prime factors of 176568?
2, 3, 7, 1051
What are the prime factors of 506088?
2, 3, 11, 71
What are the prime factors of 52201?
52201
What are the prime factors of 303750?
2, 3, 5
List the prime factors of 391402.
2, 11, 17791
List the prime factors of 33715056.
2, 3, 23, 30539
What are the prime factors of 26523103?
26523103
List the prime factors of 316836.
2, 3, 13, 677
List the prime factors of 7238098.
2, 7, 83, 6229
List the prime factors of 4017572.
2, 13, 77261
What are the prime factors of 4181325?
3, 5, 197, 283
What are the prime factors of 20351?
47, 433
What are the prime factors of 1470434?
2, 7, 105031
List the prime factors of 2691928.
2, 336491
List the prime factors of 1679577.
3, 559859
What are the prime factors of 1056407?
11, 137, 701
List the prime factors of 193992.
2, 3, 59, 137
What are the prime factors of 8650517?
8650517
What are the prime factors of 317080?
2, 5, 7927
List the prime factors of 20005342.
2, 7, 1428953
What are the prime factors of 1110801?
3, 479, 773
List the prime factors of 2556702.
2, 3, 142039
What are the prime factors of 397673?
397673
List the prime factors of 8445647.
7, 109, 11069
What are the prime factors of 208678?
2, 103, 1013
What are the prime factors of 443569?
7, 63367
List the prime factors of 13445.
5, 2689
What are the prime factors of 1619877?
3, 7, 77137
List the prime factors of 15262803.
3, 565289
List the prime factors of 53455.
5, 10691
What are the prime factors of 280312?
2, 37, 947
What are the prime factors of 4464151?
89, 50159
What are the prime factors of 10000111?
11, 101, 9001
List the prime factors of 1085974.
2, 542987
List the prime factors of 3314386.
2, 37, 44789
List the prime factors of 636505.
5, 127301
List the prime factors of 2134578.
2, 3, 355763
List the prime factors of 3447813.
3, 41, 28031
List the prime factors of 162280.
2, 5, 4057
What are the prime factors of 7441141?
19, 391639
What are the prime factors of 389440?
2, 5, 1217
List the prime factors of 269479.
7, 137, 281
List the prime factors of 498480.
2, 3, 5, 31, 67
What are the prime factors of 21854420?
2, 5, 7, 37, 4219
What are the prime factors of 18548525?
5, 741941
List the prime factors of 67955.
5, 13591
What are the prime factors of 394283?
47, 8389
What are the prime factors of 224591?
224591
What are the prime factors of 1674148?
2, 7, 59791
List the prime factors of 46566.
2, 3, 13, 199
What are the prime factors of 1348206?
2, 3, 37, 6073
List the prime factors of 4254536.
2, 11, 13, 3719
List the prime factors of 362692.
2, 11, 8243
List the prime factors of 703195.
5, 140639
What are the prime factors of 176020?
2, 5, 13, 677
What are the prime factors of 8898010?
2, 5, 11, 23, 3517
What are the prime factors of 136724?
2, 7, 19, 257
List the prime factors of 7648429.
73, 104773
List the prime factors of 501826.
2, 13, 19301
What are the prime factors of 3644202?
2, 3, 491, 1237
List the prime factors of 118593.
3, 13177
What are the prime factors of 42772?
2, 17, 37
What are the prime factors of 4137637?
7, 591091
List the prime factors of 2505385.
5, 501077
What are the prime factors of 17420969?
37, 470837
What are the prime factors of 518315?
5, 7, 59, 251
What are the prime factors of 11417989?
11, 971, 1069
What are the prime factors of 11104844?
2, 1129, 2459
List the prime factors of 2466912.
2, 3, 7, 3671
What are the prime factors of 12447014?
2, 19, 327553
List the prime factors of 6748181.
11, 613471
What are the prime factors of 136362?
2, 3, 22727
What are the prime factors of 1341680?
2, 5, 31, 541
List the prime factors of 2636034.
2, 3, 439339
What are the prime factors of 2999808?
2, 3, 7, 31
What are the prime factors of 2523116?
2, 29, 21751
List the prime factors of 7819353.
3, 868817
What are the prime factors of 31671?
3, 17, 23
List the prime factors of 5446770.
2, 3, 5, 7, 37, 701
What are the prime factors of 842404?
2, 210601
What are the prime factors of 17740?
2, 5, 887
List the prime factors of 180926.
2, 61, 1483
What are the prime factors of 165232?
2, 23, 449
What are the prime factors of 2206330?
2, 5, 7, 43, 733
What are the prime factors of 1918530?
2, 3, 5, 21317
List the prime factors of 4182287.
41, 83, 1229
List the prime factors of 182910.
2, 3, 5, 7, 13, 67
List the prime factors of 3174283.
7, 113, 4013
List the prime factors of 344947.
17, 103, 197
What are the prime factors of 8964926?
2, 61, 73483
What are the prime factors of 321967?
397, 811
What are the prime factors of 352543?
352543
List the prime factors of 1117093.
61, 18313
List the prime factors of 2992178.
2, 7, 213727
What are the prime factors of 2690260?
2, 5, 134513
What are the prime factors of 5133928?
2, 29, 22129
What are the prime factors of 12486495?
3, 5, 7, 109, 1091
List the prime factors of 190674.
2, 3, 11, 107
List the prime factors of 1645893.
3, 47, 1297
What are the prime factors of 73289?
83, 883
List the prime factors of 230738.
2, 43, 2683
List the prime factors of 3413309.
3413309
What are the prime factors of 444224?
2, 11, 631
List the prime factors of 1360563.
3, 43, 53, 199
List the prime factors of 10660908.
2, 3, 888409
List the prime factors of 9062096.
2, 487, 1163
What are the prime factors of 1301497?
1301497
List the prime factors of 8679651.
3, 53, 79, 691
List the prime factors of 218830.
2, 5, 79, 277
List the prime factors of 172948.
2, 43237
List the prime factors of 6087965.
5, 13, 229, 409
What are the prime factors of 451087?
7, 13, 4957
List the prime factors of 18575311.
18575311
What are the prime factors of 5306195?
5, 197, 5387
What are the prime factors of 1081114?
2, 540557
List the prime factors of 1778242.
2, 727, 1223
List the prime factors of 4047954.
2, 3, 23, 29333
List the prime factors of 12033258.
2, 3, 137, 14639
List the prime factors of 3291435.
3, 5, 7, 43
List the prime factors of 111021.
3, 23, 1609
What are the prime factors of 3214511?
113, 28447
List the prime factors of 187432.
2, 7, 3347
List the prime factors of 4216346.
2, 101, 20873
What are the prime factors of 584538?
2, 3, 97423
List the prime factors of 1643201.
7, 234743
What are the prime factors of 21620466?
2, 3, 7, 8171
List the prime factors of 4159983.
3, 31, 41, 1091
What are the prime factors of 951193?
951193
What are the prime factors of 200610?
2, 3, 5, 743
What are the prime factors of 2255514?
2, 3, 293, 1283
List the prime factors of 13209754.
2, 6604877
What are the prime factors of 796741?
11, 72431
What are the prime factors of 232910?
2, 5, 23291
List the prime factors of 4047203.
43, 94121
What are the prime factors of 370771?
101, 3671
What are the prime factors of 17437564?
2, 47, 92753
What are the prime factors of 13807634?
2, 2251, 3067
What are the prime factors of 276945?
3, 5, 37, 499
What are the prime factors of 1110730?
2, 5, 31, 3583
What are the prime factors of 1536957?
3, 170773
List the prime factors of 1387761.
3, 17, 27211
What are the prime factors of 787039?
11, 71549
List the prime factors of 1650342.
2, 3, 23, 11959
What are the prime factors of 533272?
2, 191, 349
What are the prime factors of 233440?
2, 5, 1459
What are the prime factors of 2296298?
2, 613, 1873
List the prime factors of 12526906.
2, 7, 894779
List the prime factors of 432638.
2, 216319
What are the prime factors of 1936747?
1936747
What are the prime factors of 510890?
2, 5, 47, 1087
List the prime factors of 407987.
19, 109, 197
What are the prime factors of 112177?
13, 8629
List the prime factors of 91633.
43, 2131
What are the prime factors of 9393108?
2, 3, 23, 34033
What are the prime factors of 22417168?
2, 59, 23747
List the prime factors of 2619590.
2, 5, 261959
What are the prime factors of 216461?
7, 17, 107
List the prime factors of 3504045.
3, 5, 79, 2957
What are the prime factors of 9802247?
7, 13, 107717
What are the prime factors of 956382?
2, 3, 7, 3253
List the prime factors of 7371357.
3, 7, 173, 2029
What are the prime factors of 1418326?
2, 7, 13, 7793
What are the prime facto | {
"pile_set_name": "DM Mathematics"
} |
Divide -13621 by -16.
13621/16
Divide 232 by -31.
-232/31
Divide 1486 by -218.
-743/109
-38899 divided by 2
-38899/2
372319 divided by 8
372319/8
42135 divided by 1
42135
-5 divided by -60206
5/60206
Divide 1677216 by 559072.
3
6295028 divided by 4
1573757
0 divided by -25547
0
What is 31 divided by -3192?
-31/3192
What is -25740 divided by -78?
330
What is 1 divided by 321524?
1/321524
What is 3858 divided by -6?
-643
Calculate 1119 divided by 432.
373/144
52332 divided by 267
196
487 divided by -455
-487/455
586 divided by -39
-586/39
Calculate 1394397 divided by -1394397.
-1
17845 divided by 14
17845/14
What is -248034 divided by 14?
-124017/7
What is 242202 divided by 6?
40367
-75300 divided by -15060
5
What is 188480 divided by -4712?
-40
27301 divided by -27301
-1
Calculate -926503 divided by -4.
926503/4
7379 divided by 157
47
-37805 divided by 7561
-5
Divide -17280 by 4320.
-4
-45024 divided by 11256
-4
What is -50453652 divided by 6?
-8408942
Calculate -335544 divided by -10824.
31
Divide 6216 by 168.
37
25800 divided by -20
-1290
3041 divided by 8
3041/8
Divide 43 by 515.
43/515
127 divided by 7351
127/7351
What is -90876 divided by -2?
45438
Calculate -3291 divided by 1097.
-3
-17892 divided by 12
-1491
Calculate 0 divided by 10910.
0
-1531 divided by 7
-1531/7
Divide -64148 by 4.
-16037
Calculate 1073580 divided by 87.
12340
65 divided by 3898
65/3898
What is 20088 divided by -108?
-186
Divide 221922 by 9.
24658
What is -12195 divided by -5?
2439
Calculate 10184 divided by -4.
-2546
-351 divided by -1
351
Calculate -845622 divided by 845622.
-1
What is 1448 divided by 73?
1448/73
Calculate 0 divided by -26443.
0
10 divided by 441
10/441
Calculate 1614 divided by 174.
269/29
What is -2 divided by 56387?
-2/56387
Calculate 80 divided by 74013.
80/74013
2 divided by -167231
-2/167231
What is 36512 divided by 8?
4564
407333 divided by 37
11009
Calculate 809750 divided by -9875.
-82
Divide -8095 by -8095.
1
What is -2628177 divided by -13341?
197
What is 51 divided by -1065?
-17/355
What is 2 divided by 4400?
1/2200
7776 divided by 19
7776/19
What is 68 divided by -1012?
-17/253
Divide -690248 by -4.
172562
Calculate -926856 divided by 4.
-231714
42702 divided by -3882
-11
Divide 160947 by 2.
160947/2
What is 468368 divided by -117092?
-4
Divide 756656 by -189164.
-4
Divide 423712 by -2.
-211856
Divide 5 by 8124.
5/8124
What is -16200 divided by -26?
8100/13
What is 218468 divided by 54617?
4
-1467749 divided by 4
-1467749/4
What is 7169 divided by 3?
7169/3
Divide 6302 by -527.
-6302/527
Divide 171681 by -643.
-267
What is -252893 divided by 4?
-252893/4
Calculate 461776 divided by 38.
12152
What is -403163 divided by 4?
-403163/4
Divide -32256 by 126.
-256
-8799 divided by 122
-8799/122
Divide -101031 by -51.
1981
-912064 divided by 3
-912064/3
What is 21 divided by 3699?
7/1233
What is -355032 divided by 36?
-9862
Calculate 2 divided by -10982.
-1/5491
58625 divided by -35
-1675
Calculate 2334 divided by 933.
778/311
What is -406000 divided by 125?
-3248
What is 70315 divided by -49?
-1435
What is -511302 divided by -127?
4026
-65280 divided by -4352
15
What is 284429 divided by 3?
284429/3
Divide 98620 by -20.
-4931
11907 divided by 42
567/2
What is 243375 divided by 825?
295
Divide 31925 by -6385.
-5
147642 divided by 4474
33
What is -24202 divided by 12101?
-2
What is -379 divided by 30?
-379/30
4 divided by -211394
-2/105697
163436 divided by -40859
-4
What is -516325 divided by 103265?
-5
What is -25440 divided by 2120?
-12
Divide -869400 by 54.
-16100
Calculate 8016 divided by -8.
-1002
Calculate 0 divided by 348891.
0
What is -169688 divided by 84844?
-2
-546147 divided by -21
26007
Calculate 48886 divided by 24443.
2
What is -5 divided by -22591?
5/22591
Divide 13 by 26464.
13/26464
What is -3 divided by 19717?
-3/19717
Calculate 2313 divided by 6.
771/2
What is 574254 divided by 63806?
9
What is -4153096 divided by -8?
519137
Calculate -939585 divided by -15.
62639
What is -1824562 divided by 3?
-1824562/3
Calculate 276827 divided by 276827.
1
-803 divided by -101
803/101
What is 1087270 divided by 217454?
5
4606 divided by -34
-2303/17
-66967 divided by 167
-401
Calculate 1753096 divided by -3.
-1753096/3
Divide 66614 by -1.
-66614
What is 13 divided by 9902?
13/9902
57436 divided by 2
28718
What is 42606 divided by 2?
21303
Divide -1 by 467428.
-1/467428
-40955 divided by 1
-40955
What is -20085 divided by -309?
65
Calculate -16080 divided by 1608.
-10
Divide 2266560 by 6.
377760
Calculate -7070069 divided by 150427.
-47
Calculate 218 divided by 565.
218/565
What is 15926 divided by 22?
7963/11
What is 0 divided by -11767?
0
What is 490498 divided by -21326?
-23
What is -13107 divided by -6?
4369/2
Calculate 13925 divided by -7.
-13925/7
Calculate -102735 divided by 20547.
-5
Calculate 306 divided by 7698.
51/1283
Calculate 8592 divided by 24.
358
Divide 1 by 224121.
1/224121
-801044 divided by 46
-17414
What is -281252 divided by -70313?
4
-2832 divided by -354
8
-1949 divided by 1083
-1949/1083
Divide -355 by 124.
-355/124
Calculate 9 divided by -4005.
-1/445
What is -150750 divided by -150?
1005
What is 163 divided by 177?
163/177
What is -130 divided by 3270?
-13/327
What is 3 divided by 153449?
3/153449
Divide 321171 by 3.
107057
-3508080 divided by 48
-73085
43784 divided by -4
-10946
Calculate 17260 divided by -5.
-3452
What is -98210 divided by 5?
-19642
16 divided by 14025
16/14025
Calculate -1726677 divided by -27.
63951
Divide -2639 by -132.
2639/132
Divide 256233 by 3.
85411
Calculate 5 divided by 378792.
5/378792
-47056 divided by 47056
-1
5347740 divided by 57
93820
Divide -12 by 10098.
-2/1683
Divide -8 by 199.
-8/199
What is -335521 divided by 1?
-335521
-524 divided by -1990
262/995
166092 divided by 5
166092/5
Divide -10496 by -64.
164
What is -1521 divided by -70?
1521/70
-35947 divided by -62
35947/62
169660 divided by 16966
10
402589 divided by -11
-36599
Calculate 344565 divided by -15.
-22971
What is 61540 divided by -3077?
-20
-326 divided by -422
163/211
-301380 divided by 6
-50230
Divide -283635 by -9.
31515
-78624 divided by 78624
-1
Calculate -174 divided by 37998.
-29/6333
Calculate 12 divided by -1905.
-4/635
Divide 62300 by 20.
3115
-494735 divided by 5
-98947
Calculate -18060 divided by 20.
-903
Divide -22247 by -6.
22247/6
-156800 divided by 896
-175
What is -449642 divided by 4?
-224821/2
-28773 divided by -9591
3
Calculate -13 divided by -4091.
13/4091
What is 210 divided by 1825?
42/365
Divide 4 by -8992.
-1/2248
7 divided by -52418
-7/52418
Divide 1132597 by -2.
-1132597/2
Divide -501906 by -1.
501906
-1288800 divided by 12
-107400
Divide 107 by 1602.
107/1602
Calculate -4320 divided by 80.
-54
What is 60345 divided by -5?
-12069
What is 13692 divided by -15?
-4564/5
-184040 divided by -172
1070
Calculate 7128 divided by 81.
88
Divide 4 by 763466.
2/381733
Divide -38 by -4395.
38/4395
Calculate -1 divided by -564107.
1/564107
Divide 28114 by -66.
-14057/33
-1095 divided by -60
73/4
What is 483 divided by 40?
483/40
What is 2883761 divided by 5?
2883761/5
1914 divided by -6
-319
What is -1140315 divided by -1?
1140315
Divide -2 by 5803.
-2/5803
Calculate -2 divided by -506316.
1/253158
What is 53 divided by 6689?
53/6689
-2 divided by -1591
2/1591
What is -1631988 divided by -6?
271998
What is -44018 divided by 1?
-44018
What is -20569 divided by 307?
-67
What is 806166 divided by -4?
-403083/2
What is -425587 divided by -3?
425587/3
-5642 divided by -2821
2
What is -1408260 divided by 6?
-234710
Divide 211135 by 42227.
5
Divide 20502 by 9.
2278
Calculate 896800 divided by -50.
-17936
Calculate 88782 divided by -6.
-14797
Calculate -23325 divided by 3.
-7775
What is 635096 divided by 1031?
616
Divide -2716 by -194.
14
Divide -2103 by 48.
-701/16
Divide -1683332 by -4.
420833
What is -26 divided by -21520?
13/10760
What is 1065368 divided by -24776?
-43
13 divided by -84077
-13/84077
Divide 370 by 4344.
185/2172
Divide 108378 by -36126.
-3
-336630 divided by -147
2290
640 divided by -378
-320/189
-866263 divided by -283
3061
Calculate -667524 divided by 44.
-15171
What is 0 divided by 54895?
0
Calculate -2583 divided by 2583.
-1
-39241 divided by 1
-39241
Divide -13818 by -282.
49
- | {
"pile_set_name": "DM Mathematics"
} |
.
29848
What is the smallest common multiple of 110 and 90?
990
Calculate the lowest common multiple of 1 and 607.
607
What is the common denominator of -9/5 and -41/66?
330
What is the least common multiple of 8 and 2146?
8584
What is the least common multiple of 6 and 4982?
14946
What is the lowest common multiple of 5 and 75358?
376790
Calculate the least common multiple of 208 and 24.
624
Calculate the least common multiple of 66 and 2460.
27060
Find the common denominator of 137/192 and -7/124.
5952
What is the common denominator of -49/39 and -22/639?
8307
What is the common denominator of -31/30 and 53/40?
120
Calculate the least common multiple of 32 and 144.
288
Find the common denominator of 1/620 and -91/20.
620
What is the common denominator of -59/54 and -23/16?
432
Calculate the common denominator of 103/52 and 19/24.
312
What is the least common multiple of 24 and 66?
264
What is the lowest common multiple of 18 and 72?
72
What is the lowest common multiple of 116 and 2204?
2204
Calculate the common denominator of 115/2112 and -27/44.
2112
Calculate the least common multiple of 297 and 55.
1485
Calculate the least common multiple of 3048 and 18.
9144
What is the common denominator of -35/232 and -61/145?
1160
Find the common denominator of -133/24 and 37/63.
504
Calculate the common denominator of 83/5828 and 65/18.
52452
Calculate the common denominator of -41/55 and 40/33.
165
What is the common denominator of -67/14 and -141/140?
140
What is the common denominator of -109/40 and -1/86?
1720
Find the common denominator of -149/552 and 89/138.
552
Calculate the smallest common multiple of 2844 and 948.
2844
Calculate the smallest common multiple of 1275 and 30.
2550
What is the common denominator of 13/24 and -53/6?
24
Find the common denominator of -113/1092 and 107/3192.
41496
What is the smallest common multiple of 446 and 53?
23638
What is the lowest common multiple of 4 and 20?
20
What is the smallest common multiple of 12 and 9?
36
Calculate the common denominator of -103/84 and -145/1812.
12684
Calculate the common denominator of 87/608 and 91/2.
608
Calculate the common denominator of -28/9 and 101/16374.
49122
Calculate the common denominator of 20/21 and 23/7.
21
Find the common denominator of -31/70 and 107/12.
420
Find the common denominator of -88/75 and -37/195.
975
Find the common denominator of 75/13502 and -22/3.
40506
Calculate the common denominator of 41/7755 and 26/3525.
38775
What is the common denominator of 37/55 and -1/665?
7315
What is the least common multiple of 36 and 600?
1800
Find the common denominator of -33/4 and -19/32.
32
What is the smallest common multiple of 44 and 55?
220
What is the smallest common multiple of 76 and 128?
2432
What is the least common multiple of 16 and 342?
2736
Calculate the common denominator of -59/3 and -103/12.
12
Calculate the common denominator of 2/7 and -16/23.
161
What is the common denominator of 101/50 and 57/185?
1850
What is the common denominator of 91/162 and -49/10?
810
What is the common denominator of 61/12 and -101/44?
132
Calculate the common denominator of 27 and -37/82.
82
Calculate the common denominator of 23/477 and 17/351.
18603
Calculate the common denominator of 29/76 and -111/44.
836
What is the smallest common multiple of 56 and 728?
728
Calculate the smallest common multiple of 260 and 654.
85020
What is the common denominator of 1/6 and 67/144?
144
What is the smallest common multiple of 101 and 6?
606
What is the least common multiple of 10 and 667?
6670
Find the common denominator of 139/1224 and -37/136.
1224
Find the common denominator of -65/2772 and 127/2772.
2772
Calculate the least common multiple of 7 and 2.
14
Calculate the common denominator of 149/180 and 83/24.
360
What is the common denominator of -69/152 and -103/40?
760
What is the common denominator of 97/48 and -109/630?
5040
Calculate the common denominator of 46/5 and -101/4.
20
Find the common denominator of -12/13 and -43/9.
117
What is the least common multiple of 160 and 160?
160
What is the smallest common multiple of 25 and 1995?
9975
What is the lowest common multiple of 560 and 252?
5040
Calculate the common denominator of 83/4 and 24/5.
20
Find the common denominator of 149/18 and -25/1197.
2394
What is the smallest common multiple of 5 and 1135?
1135
Find the common denominator of 67/102 and -2/21.
714
Calculate the least common multiple of 297 and 99.
297
Calculate the lowest common multiple of 22 and 11.
22
What is the least common multiple of 24 and 58?
696
Calculate the lowest common multiple of 360 and 16.
720
What is the least common multiple of 40 and 10?
40
Find the common denominator of -107/1974 and 103/12.
3948
What is the lowest common multiple of 12 and 9610?
57660
Calculate the least common multiple of 44 and 254.
5588
What is the least common multiple of 292 and 2993?
11972
Calculate the common denominator of -31/6 and -43/90.
90
What is the common denominator of -73/2318 and -93/16?
18544
What is the smallest common multiple of 4 and 26516?
26516
Calculate the common denominator of -81/484 and -119/24.
2904
What is the common denominator of 35/236 and -19/132?
7788
Calculate the lowest common multiple of 3474 and 30.
17370
What is the least common multiple of 18 and 767?
13806
Calculate the least common multiple of 49 and 16.
784
What is the lowest common multiple of 120 and 576?
2880
What is the smallest common multiple of 130 and 80?
1040
Calculate the least common multiple of 168 and 234.
6552
Calculate the common denominator of 8/75 and -173/60.
300
What is the common denominator of -59/6 and 143/474?
474
What is the common denominator of -69/10 and 48/43?
430
What is the common denominator of 49/4 and -149/5676?
5676
Calculate the least common multiple of 20 and 1372.
6860
What is the smallest common multiple of 2 and 2?
2
What is the lowest common multiple of 40 and 5376?
26880
Calculate the least common multiple of 44 and 24.
264
Calculate the common denominator of -31/30 and 35/1458.
7290
Calculate the common denominator of -145/1344 and -35/2112.
14784
Find the common denominator of 1/28 and -23/3.
84
Calculate the common denominator of 14/13 and -115/14.
182
Calculate the smallest common multiple of 72 and 9.
72
What is the lowest common multiple of 5 and 21?
105
Find the common denominator of -77/360 and -49/180.
360
What is the lowest common multiple of 25 and 150?
150
Find the common denominator of -19/172 and -6/11.
1892
What is the smallest common multiple of 800 and 900?
7200
What is the lowest common multiple of 50 and 15?
150
Find the common denominator of 163/90 and 76/1125.
2250
What is the common denominator of -101/1584 and 79/3168?
3168
Calculate the lowest common multiple of 96 and 27.
864
What is the lowest common multiple of 164 and 4?
164
What is the smallest common multiple of 76332 and 16?
305328
Calculate the common denominator of 31/98 and 5/1197.
16758
What is the common denominator of 42/779 and -26/3?
2337
Calculate the lowest common multiple of 140 and 2380.
2380
Calculate the common denominator of -91/50 and 1/200.
200
What is the common denominator of -101/3980 and -25/4378?
43780
What is the lowest common multiple of 546 and 21?
546
What is the least common multiple of 384 and 15?
1920
Calculate the least common multiple of 4 and 250.
500
What is the smallest common multiple of 132 and 132?
132
Find the common denominator of 129/1240 and 5/744.
3720
Calculate the common denominator of 25/112 and 71/16.
112
Calculate the smallest common multiple of 1029 and 63.
3087
What is the least common multiple of 6213 and 33?
68343
What is the smallest common multiple of 12 and 40?
120
Find the common denominator of 79/28 and -13/588.
588
Calculate the common denominator of -77/36 and -79/160.
1440
Calculate the common denominator of 53/869 and -17/790.
8690
Calculate the smallest common multiple of 780 and 2.
780
Find the common denominator of 7/8 and 99/184.
184
Calculate the lowest common multiple of 108 and 6.
108
Calculate the common denominator of -49/75 and -1/150.
150
What is the smallest common multiple of 10 and 2064?
10320
What is the smallest common multiple of 451 and 123?
1353
What is the least com | {
"pile_set_name": "DM Mathematics"
} |
Is a a prime number?
True
Is 356/2314 - (-31534)/26 a composite number?
False
Let f(o) = 170*o - 4. Let t = -12 - -20. Let m be f(t). Suppose m = 5*c - 1249. Is c a composite number?
False
Let y(q) = q**3 + q**2 + q + 6469. Suppose -3*j + 2 = b, -b - 1 + 3 = -3*j. Is y(j) a composite number?
False
Suppose -2*s + 49778 + 2852 = 4*b, 3*b - 5*s - 39466 = 0. Is b composite?
True
Let z(b) = 4*b**3 - 9*b**2 + 3*b - 11. Suppose 9 + 18 = 3*c. Is z(c) composite?
False
Let o be ((-48)/(-3))/(-4) - -6. Suppose -o*u - 9 = u. Is (u/1 - -4)*553 a prime number?
False
Suppose -6 = 2*o + 6. Is (-2)/(-4) - 255/o composite?
False
Let j be 2/(-11) + 34791/(-11). Is (j/3)/((-11)/33) a composite number?
False
Suppose -3*s + 78096 = 3*z, 2*s + 78104 = 5*s - 5*z. Is s composite?
True
Let t(r) = 4*r**2 - r - 2. Let w(b) = -b**3 - 8*b**2 + 2*b + 9. Let q be w(-8). Is t(q) prime?
False
Suppose 0 = -3*v + 2*b + 5423, 0 = -5*v - 4*b + b + 9013. Suppose 2*d + 3*r - 621 = 0, 4*r - 195 = 5*d - v. Suppose 2*n + n - d = 0. Is n prime?
False
Let u = 2168 + 269. Is u a composite number?
False
Let m = -54 - -252. Suppose -8*k = -14*k + m. Is k prime?
False
Suppose -25*z = -24*z - 4. Suppose 5*g = 2*i - 146 + 2145, -z*i - 790 = -2*g. Is g composite?
False
Is 2*48/160 + (-27782)/(-5) a prime number?
True
Is -6 + (0 - 6) - -89417 a prime number?
False
Let r = -1606 + 3705. Is r prime?
True
Suppose -12 = -3*v - 0. Suppose v*d - 564 = -0*d. Is d a composite number?
True
Suppose -27861 = 70*n - 73*n. Is n a prime number?
False
Let n be (2/5)/(6/210). Suppose g = 2, -2*d - n = -3*d - 5*g. Let t(b) = 113*b - 5. Is t(d) composite?
True
Let z = -58 + 55. Is (5 - (z + 4)) + 947 + 0 a prime number?
False
Is (-61 - 9972)*(1 + -2) prime?
False
Suppose 25*u - 30*u + 5 = 0. Is (-97)/1*-10 - (4 - u) a prime number?
True
Let a be -750*(1 - 0/3). Let p be a/(-21) - (-6)/21. Suppose 0*o = -4*o + p. Is o a composite number?
True
Let i = -879 + 1648. Is i prime?
True
Suppose 7*w + 12730 = 4*b + 4*w, 3*w = 3*b - 9549. Is b composite?
False
Suppose 5*t + 3*c - 2*c = 15, t - 5*c = 29. Suppose 0 = t*u - 90 - 1522. Is u a prime number?
False
Suppose 6*f - 5 = 5*f. Suppose 309 + 819 = s + f*c, 3364 = 3*s - 5*c. Is s composite?
False
Let z(c) = -c**2 - 8*c - 9. Let t be z(-6). Let p = 61 - 58. Suppose -p*q - t*v - 2*v = -330, q - 118 = v. Is q prime?
False
Is (146348/1)/4*1 prime?
True
Let y be 6/18 + (-5)/(-3). Suppose -1911 - 1003 = -y*c. Is c a composite number?
True
Let b(h) = 2*h**2 + 12*h + 21. Is b(34) prime?
True
Suppose 0 = -u + 5*m - 21, 2*u + u - 2*m = 2. Suppose 2*i - 4111 = -3*w, -5*w - u*i + 8542 = 1689. Is w composite?
True
Is (-2 - 938/(-6))/(3/45) composite?
True
Suppose 108116 = 2*u + s, 0 = u + 2*s - 7*s - 54069. Is u prime?
True
Suppose -298 = -6*c + 1964. Is c a prime number?
False
Suppose 0 = -4*k - 4*r - 60, -6*k - 40 = -5*k - 4*r. Is (-29)/((k/(-55))/(-4)) prime?
False
Let w = 109 - 104. Suppose -w*a = -5*n + 740, -3*a + 15 = -6*a. Is n a prime number?
False
Let r be (-1)/(4/(-56)*1 - 0). Let g(w) = 67*w - 5. Is g(r) a composite number?
True
Let u(w) be the second derivative of -587*w**3/3 + 25*w**2/2 + 2*w - 3. Is u(-3) a prime number?
True
Let k = 1381 + -3475. Let b = k - -3235. Suppose 0 = 4*a + 297 - b. Is a prime?
True
Let u be (-3)/(36/16 + -3). Suppose -u*n + 1652 = -0*n. Is n a prime number?
False
Let w(y) = -336*y - 43. Is w(-17) a composite number?
False
Suppose -p - 51693 = -3*f, 2*f - 12*p = -11*p + 34462. Is f composite?
False
Suppose -3*g + 31 - 3 = 4*z, -5*g = 3*z - 10. Let n(w) = 106*w + 22. Is n(z) a prime number?
False
Let b(o) = -132*o - 34. Let w be b(20). Let s = w - -8901. Is s a prime number?
False
Let g be (-53262)/(-24) + 10/(-8). Let y = g + -65. Is y prime?
True
Suppose 4*j + 2 = 2*j. Let y be 0/(-3) + j + 165. Suppose 0 = -o - o + y. Is o composite?
True
Let j be (-1)/(-1*3/33). Suppose 4*i - 5 = j. Suppose 35 = i*p + 5*o, 4*o = 3*p + o - 33. Is p composite?
True
Let q(w) = 2*w**2 - 34*w - 99. Is q(-20) a composite number?
False
Let g = -24 + 24. Is -3 - g - 4*-20 a composite number?
True
Suppose -3 = 3*c - 2*h - 1, 2*c + 13 = -h. Let k(f) = f + 6. Let s be k(c). Suppose -3*i = -3*n - 1419, 3*i + 4*n - s*n = 1419. Is i a composite number?
True
Let s(p) = 1828*p + 41. Is s(5) composite?
False
Let l be 8/6*(-381)/(-2). Suppose -49*s + 37 = -50*s. Let u = s + l. Is u composite?
True
Let j(o) = 82*o - 1. Let n(v) = v + 1. Let t be n(2). Suppose -6*r = -t*r - 6. Is j(r) a prime number?
True
Let y = 20 + -13. Let b be (5 + 1)*(y + -6). Suppose 0 = 2*f + b - 130. Is f a prime number?
False
Let x = -173 - -3424. Is x composite?
False
Let v = 1845 + -1142. Is v a prime number?
False
Suppose -322264 = -8*w + 380560. Is w a composite number?
False
Let d(b) = -90*b - 129. Is d(-9) composite?
True
Let d(s) = 2*s**3 - 7*s**2 + 8*s - 19. Let x be (-2)/(-5) - 48/(-5). Is d(x) a composite number?
False
Let h(u) be the first derivative of u**4/4 - 14*u**3/3 - 11*u**2/2 + 27*u - 44. Is h(15) composite?
True
Let f(i) = 6*i**3 - 5*i**2 + 14*i + 7. Let h(x) = x**3 + x**2 + 1. Let c(g) = -f(g) + 5*h(g). Let k = -4 + 10. Is c(k) prime?
False
Let x be (-7713)/(-81) + 2/(-9). Suppose 4*r - 247 = -x. Is r prime?
False
Suppose 0 = -11*j + 9*j + 2*k + 1090, -5*j + 2717 = -k. Is j composite?
True
Let o(g) = 1021*g - 21. Let z be o(-5). Let s = -3237 - z. Is s composite?
False
Let b = -6287 - -9166. Is b a composite number?
False
Is -6 - -10 - (-7402 + -3) a composite number?
True
Let m(f) = -2*f**3 + 4*f**2 - 2*f. Let k be m(2). Suppose t = 5*t + 16. Is 2/t - 766/k composite?
False
Let o(f) = -f**2 + 13*f + 3. Let k be o(8). Suppose -7*r + k = -8*r. Is (r/1)/(-8 + 7) prime?
True
Let v(o) = -428*o**3 + o**2 - 5*o - 5. Is v(-2) a composite number?
False
Let a(m) = -21*m + 3. Suppose -2*l - 37 = -3*g, 0 = 4*g + 2*l + l - 21. Suppose 2*t + g = 1. Is a(t) a prime number?
False
Let c be (-3)/((-36)/16 - -3). Is (111/c)/(15/(-260)) a prime number?
False
Let r = -9 - -1. Let w be 1173/15 - r/(-40). Let z = w + -52. Is z prime?
False
Suppose 0 = -c + 4. Suppose 3*d - 2*a = 263, d = c*d + 3*a - 273. Is d composite?
False
Let s(k) = 3*k**3 - 5*k**3 + 0*k**3 - 74 + 2*k + 69 + 4*k**2. Is s(-5) a composite number?
True
Let k(j) = -349*j - 1. Let g(t) = -1. Let o(b) = -5*g(b) + k(b). Is o(-1) prime?
True
Suppose 4*j - 4 = 2*j. Suppose 732 - 2087 = -5*t + 5*c, 533 = j*t - 5*c. Is t composite?
True
Let s be (-2)/(-15) - 32/15. Let k be (s + (-5)/3)*18. Let l = k + 97. Is l a prime number?
True
Let m(n) = 7*n - 3. Let a be m(4). Suppose r - 3*h = h - 5, 0 = -2*r + h + a. Suppose 2*c + r = -c, -q + 2*c = -93. Is q a prime number?
True
Let y = -53922 + 16452. Is (y/(-18))/((-1)/(-3)) a composite number?
True
Suppose -p + 246 = -5*p + 2*z, 3*p = -z - 192. Let y = p + 150. Is y composite?
True
Suppose -5*d + 5946 = u, 0 = -2*u + d + 810 + 11093. Suppose -15*m = -4*m - u. Is m prime?
True
Suppose 0*h = -h. Suppose h = 7*v - 4*v - 402. Is v a composite number?
True
Suppose 2*y = 20 + 20. Let d = 83 - y. Suppose 0 = -c + 4*c - d. Is c composite?
True
Suppose -92*p + 90*p = -4614. Is p a prime number?
False
Suppose -3 = 3*i - 15. Suppose 0 = i*v + 4*r - 40, -r = -4*r - 12. Is v prime?
False
Suppose 5*j - 3794 = -3*p, -275 - 473 = -j + 3*p. Is j a composite number?
False
Let s be 0/(5 - (5 + -1)). Is 853/(-1 - (s - -1 - 3)) a composite number?
False
Let n(v) = 2*v**2 - 4*v - 19. Let k = 2 + -9. Let u = k - -15. Is n(u) prime?
False
Suppose h - 3696 = -2*h. Let m = h - -988. Is (2/6)/(10/m) a prime number?
False
Let x be ((-27)/2)/(9/2700). Let m = 6769 + x. Is m prime?
True
Let f(h) = 3*h**2 + h - 4. Let o be f(3). Suppose -1731 = -29*q + o*q. Is q composite?
False
Let a(m) = m + 7*m + 2*m**2 - 5 - m**2 - m. Let k be a(-8). Is (-2)/k + 1347/9 prime?
True
Let k(h) = -h**3 + 5*h**2 + 2*h + 5. Let m be k(8). Let o = -363 - m. Let p = 23 - o. Is p composite?
True
Let z(p) = -208*p - 27 + 18 - p - 86*p. Is z(-4) a composite number?
False
Is -331*(1/(-2) + (-5)/10) a prime number?
True
Suppose -4*i = -2*m - 30, -2*i + 2*m + m = -25. Let h(f) = -2 - 5*f**2 + 5*f + 3 + f**3 + 0*f**3. Is h(i) a composite number?
True
Suppose -87042 = -29*x + 28639. Is x prime?
True
Let j = 1184 - 804. Let h = j - 121. Is h prime?
Fa | {
"pile_set_name": "DM Mathematics"
} |
1638408, 1643266?
1649510
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733453
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-11499
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108054010
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296575663
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299674269
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-1202361
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-29705
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-63210613
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591889
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-45002
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123590
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-435507
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-13230
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1067
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-190532318
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7052329
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-65201
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17283
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-220490277
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-96943
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-74477
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-71344018
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383303406
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769114
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-21472
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-883487
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404139
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-16333
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-6058723
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37856
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11512
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-11113
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1316581
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-9810427
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3027
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12086
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-34814
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970976
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-165314
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-60876
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-117687
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-32442
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-118403
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-7639904
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-23922
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75283
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1479
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-4316727
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10148851
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1323
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3809085
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982194637
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-1092849
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-1681873
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-20803934
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-452994
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-21827628
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-161355
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29879
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-207054
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6639
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-10608621
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28700
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-340397
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159665
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85730
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271907201
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4533
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41029
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-4029
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23811438
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170412
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-6684
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450806
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-38947
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792078
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89689
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95015
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1607866
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-12929
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44653
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-7139
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410688
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54366
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54493
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37695862
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-502
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-644277
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-45882
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29668941
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1918379
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-243366
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-1757565
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-77120872
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43896407
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-600736
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778694
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4132440
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-2272510
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1056388663
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-104264
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-60672979
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2325189
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-195068
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5425
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-8010193
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-315182
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-434573
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-1192777260
What is the next term in -2644, -6682, -13502, -24496, -41056, -64574 | {
"pile_set_name": "DM Mathematics"
} |
*(-9)*b/(((b**24/b)/b*b)/b) assuming b is positive.
b**(-30)
Simplify u**(-4)*u*u**(-5)*u*u*u/u**(-3/2)*u**(3/4) assuming u is positive.
u**(-11/4)
Simplify (c*c**2*c)**(1/3)/((c/c**0)/c)**36 assuming c is positive.
c**(4/3)
Simplify (o/(o/o**(1/4)))**(-1/16)/(o**(-1))**(2/133) assuming o is positive.
o**(-5/8512)
Simplify (y*y*(y**(-44)*y)/y)/y*y/y**(-13/6) assuming y is positive.
y**(-239/6)
Simplify (b**(-1))**(17/5)*b/((b*b**(-2/3))/b*b)*(b/b**(-6/7))/b assuming b is positive.
b**(-197/105)
Simplify (u*u*u*u**(-2/7)*u)**(1/5) assuming u is positive.
u**(26/35)
Simplify (z/(z/(z*((z/z**(2/5))/z*z)/z)))**(1/42)/((z*z*z/(z/((z*z/z**(-2/25))/z))*z)/(z*z*z**(-11))) assuming z is positive.
z**(-4573/350)
Simplify (s*s*s**0/s)**(-6/5)*s*s*(s*(s/s**3)/s)/s*s*s**4 assuming s is positive.
s**(14/5)
Simplify (u*u/u**2*u*u)**(1/19) assuming u is positive.
u**(2/19)
Simplify (((d/(d*d*((d*d*d**0)/d)/d))/d)/d)**(4/21)/((d/(d/d**2))/d)**(-18) assuming d is positive.
d**(122/7)
Simplify ((g**(-1/6)/g)/(((g/(g*g**0/g)*g)/g)/g))**(1/9) assuming g is positive.
g**(-7/54)
Simplify b**(-15)*b*b**(-4/21) assuming b is positive.
b**(-298/21)
Simplify b*b**(-1)*b/b**0*(b**(1/3)/b)**(-1/18) assuming b is positive.
b**(28/27)
Simplify (((t**(-3/10)/t)/t)/t)**33 assuming t is positive.
t**(-1089/10)
Simplify (q**11)**(2/3) assuming q is positive.
q**(22/3)
Simplify d**(-17)*d**(-5)*d assuming d is positive.
d**(-21)
Simplify (a**0)**(-23/6)/(a*a/(a**(3/2)/a)*a**2) assuming a is positive.
a**(-7/2)
Simplify (q**(-3)*q/q**(-2))/(q**7*q**(2/17)) assuming q is positive.
q**(-121/17)
Simplify (g**(-1))**(-24)/((g**(-4/9)*g)/g**4) assuming g is positive.
g**(247/9)
Simplify ((p*p/(p*p**1*p))/(p/p**(5/3)))/(p/(p*p**(4/3))*p/(p/((p*p**(-1))/p))) assuming p is positive.
p**2
Simplify d*d*d**(1/21)*d**(-15) assuming d is positive.
d**(-272/21)
Simplify ((f**2*f)/f)/f**(2/13)*(f/(f**(-2/7)/f))**(-2/79) assuming f is positive.
f**(12856/7189)
Simplify (v**(-4))**(2/15) assuming v is positive.
v**(-8/15)
Simplify u**2*u**(21/2) assuming u is positive.
u**(25/2)
Simplify ((w/(w*w**(1/2)))/w*w**(-1/2))/(w*w*w/w**2*w)**(-10) assuming w is positive.
w**18
Simplify (s*s**(2/5)*s)**(-19)/((s*s**(-2/5)*s)/s)**(-45) assuming s is positive.
s**(-93/5)
Simplify (u/u**(1/3))**39/(u**(1/4))**49 assuming u is positive.
u**(55/4)
Simplify h**(-12)/(h*h*h*h*h**(-1/2)*h) assuming h is positive.
h**(-33/2)
Simplify i/(i*i**(-14))*i/((i**4*i)/i) assuming i is positive.
i**11
Simplify (x**0)**29*(x**0*x)**(1/5) assuming x is positive.
x**(1/5)
Simplify ((o**(-1))**(-2))**(-40) assuming o is positive.
o**(-80)
Simplify (q**(1/10)/(q/((q*q**(2/21))/q)))**26 assuming q is positive.
q**(-2197/105)
Simplify l*l/(l**(-1/5)/l)*l*l*l*l**(-10)/l*l assuming l is positive.
l**(-19/5)
Simplify ((i*i**(1/2))/((i/(i/(i*i**(2/15)*i)))/i))**(-41) assuming i is positive.
i**(-451/30)
Simplify r**(-12)/(r*r/r**(1/2)) assuming r is positive.
r**(-27/2)
Simplify (q**(-13)*q*q)/(q**(2/35)*q) assuming q is positive.
q**(-422/35)
Simplify (v/v**6)**(-1/10) assuming v is positive.
sqrt(v)
Simplify w**(1/6)/(w/w**2*w) assuming w is positive.
w**(1/6)
Simplify ((y/((y*y**0/y)/y*y))/y)/y**2*y**(-1/3)/y**(1/7) assuming y is positive.
y**(-52/21)
Simplify p**(-2/67)/(p**(18/7)/p*p) assuming p is positive.
p**(-1220/469)
Simplify (r/(r/(r*r**(1/3)/r)))**(-16)/((r**(-4)*r)/(r/(r/(r*r**1)))) assuming r is positive.
r**(-1/3)
Simplify ((r**(-4))**11)**(-1/21) assuming r is positive.
r**(44/21)
Simplify (a**0)**(-7/3)/((a*a*a**(-6/11))/(a**3/a)) assuming a is positive.
a**(6/11)
Simplify (n/(n/(n**(2/7)*n)*n))**18 assuming n is positive.
n**(36/7)
Simplify (u**6/u)/(u**(2/29)/u) assuming u is positive.
u**(172/29)
Simplify (g/((((g/(g**10*g))/g)/g*g)/g))**14 assuming g is positive.
g**182
Simplify v**(-5/4)/v**(-34) assuming v is positive.
v**(131/4)
Simplify ((d**(1/6))**19)**(-3/2) assuming d is positive.
d**(-19/4)
Simplify (l*l**(-2))**(-36/5)/((l/l**2)/l)**(-7) assuming l is positive.
l**(-34/5)
Simplify (o/o**(-3/4)*o*o/(((o/(o**(1/5)*o))/o)/o))/(o**0/o*o)**(1/7) assuming o is positive.
o**(119/20)
Simplify (v*v**(3/11))/v*v**(-1/29) assuming v is positive.
v**(76/319)
Simplify ((q/(q/q**(1/10)))/(q**(-5)*q))/(q*q*q/(q**(-2/3)*q))**9 assuming q is positive.
q**(-199/10)
Simplify (u/(u*u**(-1/11))*u/(u*((u*u/(u*u**3))/u)/u))**(-25/2) assuming u is positive.
u**(-1125/22)
Simplify (s*s/(s*s*s**5*s*s))**(-7/3) assuming s is positive.
s**(49/3)
Simplify (s**2/s**3)/((s**(2/11)/s)/s*s**(-2/7)) assuming s is positive.
s**(85/77)
Simplify (c*c*(c**1*c)/c)**(-18/7)/(c/((c*(c*c**(-9)/c)/c)/c)*c*c**(-1)) assuming c is positive.
c**(-131/7)
Simplify ((a**(-2/3))**(-3/7))**(2/115) assuming a is positive.
a**(4/805)
Simplify (k**(-13))**45 assuming k is positive.
k**(-585)
Simplify (t*t**(-3)*t*(t*t**0*t*t)/t)**2 assuming t is positive.
t**2
Simplify j**(9/5)/j*j**(7/4) assuming j is positive.
j**(51/20)
Simplify ((o/(o/o**(-2/7)))/o)**18/((o/(o*o**(2/7))*o)/o*(o*o**(-3/2))/o) assuming o is positive.
o**(-299/14)
Simplify (g*g**(-2)*g/(g/(g/g**14)))**20 assuming g is positive.
g**(-280)
Simplify (t/(t*t**1/t))**(-25/2)/((t*t/(t*(t/(t*t/t**(5/4)))/t))/t*t**0/t) assuming t is positive.
t**(1/4)
Simplify (q*q*q/(q/q**8))/q**(1/5) assuming q is positive.
q**(49/5)
Simplify ((m*m/(((m/(((m/(m/m**(-1)))/m)/m*m*m))/m*m)/m))**(-1/32))**(-13) assuming m is positive.
m**(13/32)
Simplify (c**(3/4)*c)**44 assuming c is positive.
c**77
Simplify (r**1)**(-8/13)/((((r/(((r**6/r*r*r)/r)/r))/r)/r*r)/(r/(r*r/((r**(1/5)/r)/r))*r*r)) assuming r is positive.
r**(233/65)
Simplify b*b/b**(-28)*b*b**(-30) assuming b is positive.
b
Simplify (o*o**(-1))**(-29/4)*o**(2/9)/(o*o**(-3)*o) assuming o is positive.
o**(11/9)
Simplify ((p*p/(p/((p**4/p)/p))*p)/p)/p**4*((p**(-6)/p)/p)/p**(-1/4) assuming p is positive.
p**(-35/4)
Simplify (n**(-18)/n*n)**7 assuming n is positive.
n**(-126)
Simplify (x*x**(2/21))/(x*x/x**(-1/8))*x**(1/2)*x**0 assuming x is positive.
x**(-89/168)
Simplify j**(-7)/((j*j**6)/j)*(j**(-2/5))**40 assuming j is positive.
j**(-29)
Simplify ((b*b**(2/7)*b)/(b/b**4*b))**(-24) assuming b is positive.
b**(-720/7)
Simplify (d*d*d*(d/(d*d**(2/11)))/d*d*d/(d/d**(-1/5)))/((d*d*d*d**(-5))/d*d*d/(d**(-3)*d)) assuming d is positive.
d**(89/55)
Simplify (k*(k**(2/27)/k)/k)**(-2/9) assuming k is positive.
k**(50/243)
Simplify (z**(-1))**(25/4)/(z**5/z**(-1/2)) assuming z is positive.
z**(-47/4)
Simplify ((r**8/r)/(((r/(r/(r/r**(-5/7))))/r)/r))/((r*r**(-3/4)/r*r)/r*r*r*r**(2/19)) assuming r is positive.
r**(3155/532)
Simplify g**(-1/8)*g**(4/5) assuming g is positive.
g**(27/40)
Simplify l*l**0*l*l**(-18) assuming l is positive.
l**(-16)
Simplify (u/(u*u*(u*u/((u/(u/u**1*u))/u))/u*u))**(-3/20)*((u*u**(-4))/u)/(u/(u*u**(2/3)*u)) assuming u is positive.
u**(-26/15)
Simplify (p**(4/5))**11 assuming p is positive.
p**(44/5)
Simplify (h/h**(3/5))/(h*h*h/(h*h*h*h*h/(h/(h/(h**5*h))*h)*h*h))*h**(-4/3)*h**(-2) assuming h is positive.
h**(-89/15)
Simplify (s**10/(s/s**(1/4)))/((s**(2/9)*s)/s**10) assuming s is positive.
s**(649/36)
Simplify a**(1/7)*(a*a**15)/a assuming a is positive.
a**(106/7)
Simplify ((t/t**(-6))/((t**(-2/3)/t)/t))/((t**4*t)/(t*t**1*t)) assuming t is positive.
t**(23/3)
Simplify (b**(-5)*b**(-6))/((b**(1/12)/b)/(b*b**8)) assuming b is positive.
b**(-13/12)
Simplify ((y*y*y/((y**(-7/4)*y*y*y)/y*y))/y)/(y/(y/(y**34*y))*y*y) assuming y is positive.
y**(-145/4)
Simplify ((i**2*i)**46)**(2/11) assuming i is positive.
i**(276/11)
Simplify ((u*u**(-5)*u*u)/(u*u/(u**0/u*u)))/(u**(2/7)*u*u/u**(-4)) assuming u is positive.
u**(-72/7)
Simplify (n**8/n*n)/n**29 assuming n is positive.
n**(-21)
Simplify (g*g*g**(-2/7))**(-5/17)*(g**7*g)/((g*g**(-5))/g) assuming g is positive.
g**(1487/119)
Simplify (d/(d/d**35)*d*d)**26 assuming d is positive.
d**962
Simplify (y**(-2)/y**7)**(-7) assuming y is positive.
y**63
Simplify (w**(-19)/w*w*w**(-8))**(-3/5) assuming w is positive.
w**(81/5)
Simplify (s*s**1)/(s*s/(s**(-17)/s)) assuming s is positive.
s**(-18)
Simplify b**4/(b**(-12/11)*b) assuming b is positive.
b**(45/11)
Simplify (x**(-5)*x**(-2)*x)/((x/x**(2/7))/(x*x*x**(4/5)*x)) assuming x is positive.
x**(-102/35)
Simplify u**(8/7)/(u/((u/(u/(u/(((((u/(u**(-35)*u | {
"pile_set_name": "DM Mathematics"
} |
rs of 18121.
18121
What are the prime factors of 2821?
7, 13, 31
List the prime factors of 854.
2, 7, 61
List the prime factors of 5561.
67, 83
What are the prime factors of 11162?
2, 5581
What are the prime factors of 20239?
37, 547
What are the prime factors of 3676?
2, 919
What are the prime factors of 44345?
5, 7, 181
List the prime factors of 51981.
3, 17327
List the prime factors of 1162.
2, 7, 83
What are the prime factors of 747?
3, 83
What are the prime factors of 6331?
13, 487
List the prime factors of 15515.
5, 29, 107
What are the prime factors of 175?
5, 7
List the prime factors of 3287.
19, 173
List the prime factors of 30168.
2, 3, 419
What are the prime factors of 6228?
2, 3, 173
List the prime factors of 38949.
3, 12983
What are the prime factors of 1864?
2, 233
What are the prime factors of 36617?
7, 5231
What are the prime factors of 11863?
11863
What are the prime factors of 9987?
3, 3329
What are the prime factors of 20582?
2, 41, 251
What are the prime factors of 2147?
19, 113
What are the prime factors of 9120?
2, 3, 5, 19
What are the prime factors of 162?
2, 3
List the prime factors of 82811.
82811
What are the prime factors of 123367?
19, 43, 151
What are the prime factors of 1091?
1091
List the prime factors of 128.
2
What are the prime factors of 64814?
2, 23, 1409
What are the prime factors of 33136?
2, 19, 109
List the prime factors of 9506.
2, 7, 97
List the prime factors of 546.
2, 3, 7, 13
List the prime factors of 215.
5, 43
What are the prime factors of 1260?
2, 3, 5, 7
What are the prime factors of 594?
2, 3, 11
List the prime factors of 31384.
2, 3923
List the prime factors of 2558.
2, 1279
List the prime factors of 1586.
2, 13, 61
List the prime factors of 1337.
7, 191
What are the prime factors of 900?
2, 3, 5
List the prime factors of 3469.
3469
What are the prime factors of 20103?
3, 6701
What are the prime factors of 1260?
2, 3, 5, 7
List the prime factors of 10313.
10313
What are the prime factors of 677?
677
What are the prime factors of 164050?
2, 5, 17, 193
What are the prime factors of 3669?
3, 1223
List the prime factors of 46833.
3, 67, 233
What are the prime factors of 8221?
8221
What are the prime factors of 852?
2, 3, 71
What are the prime factors of 12796?
2, 7, 457
What are the prime factors of 2086?
2, 7, 149
List the prime factors of 1373.
1373
List the prime factors of 1034.
2, 11, 47
What are the prime factors of 20021?
20021
List the prime factors of 21018.
2, 3, 31, 113
What are the prime factors of 1705?
5, 11, 31
What are the prime factors of 5470?
2, 5, 547
List the prime factors of 23572.
2, 71, 83
List the prime factors of 2367.
3, 263
What are the prime factors of 51149?
7, 7307
What are the prime factors of 7207?
7207
What are the prime factors of 1507?
11, 137
What are the prime factors of 2952?
2, 3, 41
List the prime factors of 545.
5, 109
List the prime factors of 3207.
3, 1069
List the prime factors of 13283.
37, 359
What are the prime factors of 59366?
2, 29683
What are the prime factors of 2323?
23, 101
What are the prime factors of 31955?
5, 7, 11, 83
What are the prime factors of 1199?
11, 109
List the prime factors of 5544.
2, 3, 7, 11
List the prime factors of 3093.
3, 1031
List the prime factors of 11288.
2, 17, 83
List the prime factors of 294.
2, 3, 7
What are the prime factors of 17020?
2, 5, 23, 37
What are the prime factors of 1980?
2, 3, 5, 11
What are the prime factors of 1222?
2, 13, 47
What are the prime factors of 47668?
2, 17, 701
List the prime factors of 19051.
19051
List the prime factors of 3739.
3739
What are the prime factors of 1241?
17, 73
What are the prime factors of 1623?
3, 541
List the prime factors of 3024.
2, 3, 7
What are the prime factors of 1181?
1181
What are the prime factors of 10484?
2, 2621
What are the prime factors of 38653?
38653
What are the prime factors of 21469?
7, 3067
What are the prime factors of 23738?
2, 11, 13, 83
What are the prime factors of 92812?
2, 23203
What are the prime factors of 400?
2, 5
List the prime factors of 3083.
3083
What are the prime factors of 2663?
2663
What are the prime factors of 2210?
2, 5, 13, 17
List the prime factors of 8809.
23, 383
List the prime factors of 5589.
3, 23
List the prime factors of 5586.
2, 3, 7, 19
List the prime factors of 90660.
2, 3, 5, 1511
What are the prime factors of 1538?
2, 769
What are the prime factors of 6881?
7, 983
List the prime factors of 21194.
2, 10597
What are the prime factors of 5859?
3, 7, 31
List the prime factors of 214.
2, 107
What are the prime factors of 2776?
2, 347
List the prime factors of 13712.
2, 857
List the prime factors of 1336.
2, 167
List the prime factors of 317.
317
List the prime factors of 7250.
2, 5, 29
What are the prime factors of 60677?
47, 1291
What are the prime factors of 48966?
2, 3, 8161
List the prime factors of 38199.
3, 7, 17, 107
List the prime factors of 2693.
2693
What are the prime factors of 21637?
7, 11, 281
List the prime factors of 25583.
25583
List the prime factors of 32121.
3, 43, 83
What are the prime factors of 337?
337
List the prime factors of 2346.
2, 3, 17, 23
What are the prime factors of 147179?
147179
What are the prime factors of 18479?
17, 1087
What are the prime factors of 7341?
3, 2447
List the prime factors of 15.
3, 5
What are the prime factors of 19705?
5, 7, 563
What are the prime factors of 25323?
3, 23, 367
List the prime factors of 4793.
4793
What are the prime factors of 16415?
5, 7, 67
List the prime factors of 56320.
2, 5, 11
List the prime factors of 5610.
2, 3, 5, 11, 17
What are the prime factors of 121843?
121843
What are the prime factors of 4794?
2, 3, 17, 47
List the prime factors of 7362.
2, 3, 409
List the prime factors of 1589.
7, 227
List the prime factors of 31423.
7, 67
List the prime factors of 3928.
2, 491
What are the prime factors of 2785?
5, 557
List the prime factors of 13882.
2, 11, 631
List the prime factors of 16629.
3, 23, 241
List the prime factors of 1417.
13, 109
What are the prime factors of 57703?
19, 3037
List the prime factors of 3045.
3, 5, 7, 29
What are the prime factors of 72678?
2, 3, 12113
What are the prime factors of 1241?
17, 73
What are the prime factors of 2132?
2, 13, 41
What are the prime factors of 10634?
2, 13, 409
List the prime factors of 18574.
2, 37, 251
What are the prime factors of 14252?
2, 7, 509
What are the prime factors of 20427?
3, 11, 619
What are the prime factors of 440?
2, 5, 11
What are the prime factors of 277?
277
What are the prime factors of 2797?
2797
What are the prime factors of 9735?
3, 5, 11, 59
What are the prime factors of 42875?
5, 7
What are the prime factors of 1888?
2, 59
List the prime factors of 586.
2, 293
List the prime factors of 17913.
3, 7, 853
List the prime factors of 58605.
3, 5, 3907
List the prime factors of 36677.
36677
List the prime factors of 13706.
2, 7, 11, 89
What are the prime factors of 4228?
2, 7, 151
What are the prime factors of 17757?
3, 1973
What are the prime factors of 3685?
5, 11, 67
List the prime factors of 135072.
2, 3, 7, 67
List the prime factors of 301.
7, 43
What are the prime factors of 1415?
5, 283
What are the prime factors of 45454?
2, 22727
List the prime factors of 115903.
115903
List the prime factors of 10600.
2, 5, 53
What are the prime factors of 13686?
2, 3, 2281
What are the prime factors of 3655?
5, 17, 43
List the prime factors of 1133.
11, 103
What are the prime factors of 24135?
3, 5, 1609
List the prime factors of 747.
3, 83
List the prime factors of 559.
13, 43
List the prime factors of 70350.
2, 3, 5, 7, 67
What are the prime factors of 54422?
2, 27211
List the prime factors of 1366.
2, 683
List the prime factors of 5544.
2, 3, 7, 11
List the prime factors of 390.
2, 3, 5, 13
What are the prime factors of 41915?
5, 83, 101
List the prime factors of 16318.
2, 41, 199
List the prime factors of 42956.
2, 10739
What are the prime factors of 26844?
2, 3, 2237
List the prime factors of 272.
2, 17
List the prime factors of 53321.
71, 751
List the prime factors of 6260.
2, 5, 313
List the prime factors of 107123.
107123
What are the prime factors of 13496?
2, 7, 241
What are the prime factors of 5175?
3, 5, 23
What are the prime factors of 909?
3, 101
What are th | {
"pile_set_name": "DM Mathematics"
} |
= p + 4*v, 3*p + v = -i*v for p.
0
Let o be ((-30)/(-9))/(2/12). Suppose -3*i - o = -8*i. Solve 0*q + 11 = -3*q + 2*p, 3*q = i*p - 19 for q.
-1
Let z(i) = i**2 - 5*i - 10. Suppose 8 = 2*n - 6. Let s be z(n). Solve -k - s*k - 2*l = -18, -4*k + 5*l = 12 for k.
2
Let m = 3 + -3. Let w be (-5 + 3)/(-1) - -1. Suppose -w*x + 3*n = x - 20, 5*n = 4*x - 20. Solve 5*s + x = m, s + 10 = r - 4*s for r.
5
Suppose -5*s = 21 - 26. Solve 5*q = 5*z + 10, -z = -5*q + q - s for z.
-3
Let s(w) = 8*w + 3. Let x be s(-2). Let g be (-2)/(-4) + x/(-2). Solve g*u = 3*u - 2*v + 10, 4*v - 8 = -4*u for u.
3
Suppose 19*j - 25 = 14*j. Solve -v + 0*y = y - 1, -j*y = -4*v + 31 for v.
4
Let k be 68/12 + (-3)/(-9). Suppose k = -0*f + 2*f. Solve -5*v + f*u = 27, -2*v - 3*u + 24 = -6*v for v.
-3
Let j = -6 - -10. Solve -u = -6*u + 5*q - 20, j*q = 16 for u.
0
Let c(x) = 3 - 6 + 0*x + 2*x - 1. Let z be c(3). Solve y - 3*n = -z - 4, -4*n + 12 = 0 for y.
3
Let j be 0 - -1 - (-4 - -2). Suppose j*o + 13 = m + 4, -5*m = 3*o + 9. Let v be 3 - -1*(o + 0). Solve w = -5*x - 5, v - 15 = 3*w for x.
0
Let p(l) = l**3 + 10*l**2 + 11*l + 12. Let o be p(-9). Let u = o - -9. Solve k - u*g - 2 = -4, -17 = 4*k - 3*g for k.
-5
Suppose 4 - 48 = 4*x. Let k = 16 + x. Suppose 4*t - 5*w - 18 = 0, -2*t + 0*t = 5*w + 6. Solve 3*m - 2*g + 2 = -g, -5*m + t*g = k for m.
1
Let b be ((-6)/7)/((-6)/21). Solve -20 = -5*d, -b = 5*i - 0*i - 2*d for i.
1
Let c(f) = f**2 + 4*f + 3. Let m be c(-4). Suppose -m*b = -b - 4. Suppose g - 64 = -3*g. Solve 5*x = 2*o + g, 0 = -2*x + o + 4*o - b for x.
4
Let m = 21 + -1. Solve -4*l - m = 0, 0 = 3*p - p - 3*l - 17 for p.
1
Let d be 3/(-2) + 166/4. Solve 2*v + d = -3*v - 5*m, 5*m + 15 = 0 for v.
-5
Let c(h) = h**3 + 4*h**2 + 2*h. Let i be 3*-1 - (-2 - -2). Let g be c(i). Suppose 16 = g*u - 38. Solve 5*a = 2*y - u, 5*a - 2*a + 14 = -2*y for y.
-1
Let r(g) = -7*g - 1. Let z(h) = -20*h - 3. Let f(s) = -11*r(s) + 4*z(s). Let p be f(-4). Solve -2*y - 4*q = y - 19, -4*q + p = -5*y for y.
1
Let a(j) = j + 11. Let c be a(-7). Let h = c + 1. Solve -3*t + 4*w = 23, -3*w + 2*w = -h*t - 10 for t.
-1
Suppose 3*f = -8 + 20. Suppose f = -0*i + i. Suppose 2*j = i*j - 6. Solve 5*b + 9 + 21 = 5*o, -j*o = -6 for b.
-4
Suppose 5*s + 3 = n - 11, 3*n + 2*s - 8 = 0. Solve -3*k - 2*k = -n*o - 14, 4*o + 2*k = 0 for o.
-1
Let r be 0 + ((-4)/1 - -8). Solve 2*o - 18 = -4*n, 0*o - 20 = -r*o for n.
2
Suppose -4*g + 14 = 2. Solve 4*t + 8 = 4*d, -3 - 8 = 2*d + g*t for d.
-1
Suppose 0 = 11*p - 14*p + 18. Suppose p*f = 4*f. Let a be (0 - 4)*2/(-2). Solve 0 = a*m - 2*i + 16, f = -3*i - 2*i + 20 for m.
-2
Suppose -2*v + 3*k = -10, 4*v - k - 4*k - 20 = 0. Suppose -a = -v - 7. Let i be -1 + 0 + (-2 - -7). Solve a = -h - h + 2*g, i = -h - g for h.
-5
Let z = 57 + -53. Solve -z*g + 12 = 3*a, -2*g = -2*a - 0*g - 6 for a.
0
Let h(o) = 7*o - 9. Let z be h(7). Let l be (19/2)/((-4)/8). Let w = l + 34. Solve -2*k - w = k, -5*f = -5*k - z for f.
3
Let s(w) = w**2 - 10*w + 4. Let u be s(10). Solve -2*i + 3*y = -u*i - 1, y = -3*i + 2 for i.
1
Let s be (5/2)/(1/6). Suppose 0 = 3*w - 0*w - s. Solve 5*g + 21 = -4*i, -4*i - 6 = -5*g + w for g.
-1
Suppose -7*z + 5*z = -8. Let k be -2*(1 + (2 - z)). Solve 0 = -5*w - b - 28, 0*w + k*w + 7 = b for w.
-5
Let u(h) = 2*h**3 - 3*h**2 + 3*h - 3. Let z be u(2). Suppose -7 - 21 = -z*g. Solve 2 = -3*p + l, g*l + l + 2 = 3*p for p.
-1
Let x = 20 - 16. Let r = 3 + 2. Let n(c) = -c + 10. Let k be n(r). Solve x*l - 11 = 5*b, -4*b + 25 = k*l + b for l.
4
Let x(b) be the second derivative of -b**3/6 + b**2/2 + 2*b. Let r be x(-5). Let z = 4 + r. Solve 4*a - 4*y + 4 = -0, 2*a - 5*y - z = 0 for a.
-5
Let l(z) = -2*z**2 + z + 11. Let g be l(-5). Let c be 2/(-10) - g/20. Solve c*s + 3*m = s + 1, 2*m = -5*s - 8 for s.
-2
Let c = -51 - -30. Let s = 27 + c. Suppose -4*b + 0*b = -12. Solve -3*a + a + 6 = 0, 4*a = b*g + s for g.
2
Suppose -3*x + 5*x - 10 = 0. Solve 0 = -4*r + x*k + 13, -k = r - 1 - 0 for r.
2
Suppose 0 = l - 0*y - 3*y - 12, 0 = 2*y - 10. Solve x + 18 = -c + 6*x, l = -5*c + 4*x for c.
-3
Let t(v) = v**3 - 7*v**2 + 12*v - 4. Let i be t(5). Suppose -a + 0 = -i. Solve 5*f = -2*q - 33, 2*f - a = 3*q + q for f.
-5
Let h(m) = -m - 5. Let f be h(-5). Let j = f - -4. Suppose 0 = j*w - 24 + 8. Solve 3*u - w*i = -6, -4 = -0*u + 2*u + 2*i for u.
-2
Suppose -5*d - 20 = -0*d. Suppose 6*c + 4*c = 80. Let a = d + c. Solve 8 = 2*v + 3*h, 0 = -v - a*h + h + 10 for v.
-2
Suppose 2 = -0*m + 2*m. Solve 18 = -5*h - 2*n, n - m + 5 = 0 for h.
-2
Suppose -4*b + 3 = -9. Suppose 0 = -4*f, -2*h + h + b = -f. Let v be (-28)/(-12) + 2/h. Solve 0*k - 17 = 5*k + v*n, -4*n - 4 = 2*k for k.
-4
Let c = 31 - 27. Solve -t + 2*d + 4 = 0, c*t + 32 = -2*d + 8 for t.
-4
Let u = 7 - 6. Let j be 4 - (2 + 1) - u. Suppose 3*z = l + 4, 2*z = 2*l - j*z - 4. Solve l = s - 5*i - 5, -1 = -s + 2*i for s.
-5
Let p(n) be the first derivative of -n**4/4 - 7*n**3/3 - n**2 - 9*n + 1. Let b be p(-7). Let j be 0/(-2) - 0/2. Solve -4 = -y, j = 3*i - b*i + 5*y - 10 for i.
5
Suppose 0*l + 32 = 4*l + 4*y, 3*l - 14 = -y. Solve 3*b - 3 = -l*i, 1 - 7 = -4*b - 2*i for b.
2
Let l = -45 - -49. Solve -4*b - z - 9 = 0, -z - l*z - 28 = 3*b for b.
-1
Let d(f) = -f - 4. Let i be d(-4). Let u be -4*7/(-28)*7. Solve i = -3*w + 4*n - 5, w + 4*w - u = -n for w.
1
Let u be (-2)/5 - 12/(-5). Let x = u + 3. Solve 0 = x*r + o - 23 - 1, 3*r + 4 = 4*o for r.
4
Let i be ((-2)/6)/(6/(-288)). Solve -4*p + 5*a - i = 6*a, 0 = -5*a - 20 for p.
-3
Suppose -5*d + 48 - 8 = -3*o, -4*o - 40 = -5*d. Suppose d = -4*x - 4*q, 0 = -3*x - 5*q - 0*q - 14. Solve -5*l + 4*r = -r + 35, -4*l = x*r + 4 for l.
-3
Let x(j) = 2*j - 5. Let w be x(5). Suppose 12 = 5*t + 2*k, -4*k = -4*t - 0*k + 4. Solve -2*q = -3*m + 13, -t*q - 16 = -w*m - 1 for q.
-5
Let w be 2/(-4)*6/3. Let n be ((-2)/2)/(w/(-5)). Let r be 4/10 - 13/n. Solve -3*m = l + 4*l + 2, -2*m = r*l + 1 for m.
1
Let u be ((-1)/3)/(2/(-12)). Solve -d = -4*z + 19, -3*d = -4*z + u*d + 31 for z.
4
Let h(f) = -2*f**3 - 2*f**2 + 6*f + 1. Let z be h(-3). Solve z = 4*y + 3*u, y = -0*u + 2*u + 2 for y.
4
Suppose 4*n - 191 + 15 = 0. Suppose 0 = -3*d + 2*t - 3 + n, -d - 5*t + 25 = 0. Solve 2*u + 5 = 4*j - 3*u, 0 = -3*u - d for j.
-5
Suppose 0*b + 5*b = 70. Suppose 4*g - 4*n + 4 = 0, 0*g - 4*n + b = g. Let f be (2 - 3) + 1 + 7. Solve g*r + f = c, 0 = -3*c + c - 3*r - 14 for c.
-1
Suppose -1 = -s + 1. Suppose 12 = -s*k + 4*k. Solve 4*y - 5*f - k = 0, 3*y - 4*f = -0 + 5 for y.
-1
Let n(u) = -u**2 + 2 - u**2 + 3*u + u**2. Let a be n(3). Solve -3*x + l = 2, -5*x = l - 0 - a for x.
0
Let c be 1/(-3) + (-363)/(-9). Solve 4*i = 3*f - 1, 0 = -8*i + 3*i - 4*f - c for i.
-4
Let m(r) = -r**2 - 11*r + 3. Let z be m(-11). Solve 5*o + 26 + 4 = 3*y, z*y + 4*o - 3 = 0 for y.
5
Let o = -33 + 41. Solve 3*q = -2*d + 3 - 16, -d - o = 3*q for d.
-5
Let b(f) be the first derivative of -f**2/2 + f - 1. Let m be b(4). Let q = 0 - m. Solve q*y - 1 = 2*z - 3*z, 2*y = -4*z - 6 for z.
-2
Let u = -30 - -30. Solve u = 2*d + 4*f - 28, d - 4*f + 12 + 4 = 0 for d.
4
Let s = 36 + -23. Solve 4*w + 5*d - 11 = 0, 3*w - 7*w = -3*d + s for w.
-1
Let a be 25/15*-1*-3. Solve -4*b - 5*p = 20, b + 0*b - 5*p = -a for b.
-5
Let v be 6/(-4) + (-2)/(-4). Let t be (4 + v)/(3/3). Solve -3*g = 2*f - 14, -2 = -f - 2*g + t*g for f.
4
Let k be (-2)/(-2 + (-224)/(-116)). Suppose -2*m - 3 = -4*l + 3*l, 0 = 3*l - m - 9. Solve l*i - 5*t + 21 = -i, -4*i = 5*t - k for i.
1
Let w(h) = -h - 1. Let k be w(-13). Suppose l + k = 4*l. Solve 0 = -2*t - 8, -a + 5*t - 5 = l*a for a.
-5
Let o(k) = -k**2 - 27*k - 24. Let w be o(-26). Solve 4*b + 7 = -2*x - 11, 4*x + 16 = w*b for x.
-5
Let g = 17 - 8. Let c be (5*6)/(g/6). Suppose 3*l = -b - b + 15, -4*l + 5*b + c = 0. Solve -j + 0*u = 2*u + l, -5*j + 14 = -3*u for j.
1
Suppose 6*s - 3*q = 2*s - 6, -2*q + 4 = 0. Let k = 2 + s. Solve k*u + 0*b + 2*b - 2 = 0, 5*u + b - 17 = 0 for u.
4
Suppose -u - 2*u - 4 = -5*n, -2*u + 4 = 0. Solve n*h - 2*l - 3 = -5*l, 0 = 5*h - 2*l + 21 for h.
-3
Suppose 6*y = 2*y + 16. Solve 3*d - 4*l - 24 = 0, y = 2*d - l - 7 for d.
4
Let r(c) be the second derivative of -c**5/20 + 5*c**4/12 + 5*c**2/2 + c. Suppose -9 + 4 = -f. Let v be r(f). Solve -3*p - 5*n = 0, 8 = -v*p - n - 14 for p.
-5
Let t be (-1)/(-2)*(-5 + 11). Solve -c + 2*d = -4, t*c - | {
"pile_set_name": "DM Mathematics"
} |
ivative of z**4/6 + 3*z. Let q(d) = -3*d**2. Determine q(m(k)).
-12*k**4
Let o(b) = 471*b**2. Let y(j) = 3*j**2. Calculate o(y(s)).
4239*s**4
Let l(p) = -82*p. Let a(s) = -s. What is l(a(z))?
82*z
Let f(b) = -2*b. Let x(c) = 23*c. Determine f(x(d)).
-46*d
Let n(r) be the second derivative of -r**3/3 - r. Suppose 4*q = 8 + 4. Let m(h) = -h - q*h + 6*h. Give m(n(v)).
-4*v
Let y(n) be the third derivative of n**5/60 + n**2. Let v(s) = -728 + 5*s + 728. Determine v(y(h)).
5*h**2
Let o(j) = 3*j**2 + 5*j**2 - 3*j**2. Suppose 2*n - w = 8, -n - 4*n - 5*w - 10 = 0. Let z(q) = q**2 + 3*q**n + 4*q**2 - 6*q**2. Determine o(z(i)).
20*i**4
Let y(s) = 19*s + 16. Let v(x) = x. Determine v(y(f)).
19*f + 16
Suppose 2*l - 24 = -4*n, 17 = -0*n + 5*n - 4*l. Let m(d) = n*d - 2*d - d. Let u(f) = -3*f. Give u(m(q)).
-6*q
Let z = 70 - 40. Suppose 4*y + 10 = z. Let u(j) = 3*j - y*j + 0*j. Let m(s) = s**2. Give m(u(i)).
4*i**2
Let n(o) = 3*o**2 + 2*o + 1. Let p be n(-1). Let b(d) = -d**2 + 2 - 2 + 3*d**p. Let g(k) = k. Give b(g(u)).
2*u**2
Let o(a) = 7*a + 11. Let m(c) = -11*c - 16. Let g(y) = -5*m(y) - 8*o(y). Let n be g(-11). Let d(q) = 8*q + n*q - 8*q. Let v(h) = 2*h**2. What is v(d(f))?
18*f**2
Let c(p) = -24*p**2. Let s(d) = d**2 - 3. Give c(s(i)).
-24*i**4 + 144*i**2 - 216
Let v(w) = 3*w. Let f(a) = 6*a + 4. Determine v(f(h)).
18*h + 12
Let l(m) = -6*m**2. Let k(q) = -3*q - 25. What is k(l(i))?
18*i**2 - 25
Let m(n) = 3*n**2. Let f(k) = 10184*k**2. Determine m(f(p)).
311141568*p**4
Let h(f) = f**2. Let r(c) = 1144*c. Give h(r(u)).
1308736*u**2
Let p(o) = 4*o + 4. Let g(h) = 21*h + 22. Let j(w) = -2*g(w) + 11*p(w). Let x(n) = -n + 17. Give x(j(l)).
-2*l + 17
Let f(m) = -m - 175. Let q(s) = 4*s**2. Calculate f(q(c)).
-4*c**2 - 175
Let v(s) = 2*s. Let b(z) = 161 - 3*z**2 - 161. Determine b(v(u)).
-12*u**2
Let n(t) = 2*t**2. Let b(k) = 15536*k. Give b(n(v)).
31072*v**2
Let o(l) = l. Let s(a) be the second derivative of -11*a**3/6 + 6*a. Calculate o(s(d)).
-11*d
Let z(n) = 6*n - 6. Let f(b) = -49*b**2 + 2. What is f(z(o))?
-1764*o**2 + 3528*o - 1762
Let f(t) be the third derivative of -7*t**4/12 + 18*t**2. Let x(p) = p**2. Calculate x(f(o)).
196*o**2
Let y(d) = -2*d**2 - 2106*d. Let v(r) = 2*r**2. Calculate y(v(g)).
-8*g**4 - 4212*g**2
Suppose -8*b + 3*b = -25, -w = -3*b + 13. Let n(x) = 3*x + w*x - 4*x. Let u(l) = l. Give n(u(h)).
h
Let n(m) = -4*m. Let j(s) = 156 + 9*s - 156. Determine j(n(z)).
-36*z
Let h(n) = -12 - 2*n + 12. Let i be (-8)/(-5) + (-4)/(-10). Let v(a) = 2*a**2 - 3*a**i + 3*a**2. Determine v(h(d)).
8*d**2
Let d(g) = 2*g**2. Let k be (-1)/2 - 7/(-14). Let a(m) be the first derivative of 0*m + k*m**2 - 2 - 1/3*m**3. Calculate d(a(j)).
2*j**4
Let o(w) = w**2 + 2*w**2 - w**2. Let i(u) = -1 + 6 - 5 - u**2. Calculate o(i(s)).
2*s**4
Let o(s) = -29*s. Let d(y) = 143*y**2. What is o(d(g))?
-4147*g**2
Suppose 4*a = -1 + 17. Let f(i) = a*i - 15*i + 9*i. Let u(t) = 9*t**2. Calculate u(f(j)).
36*j**2
Let y(t) = 2*t**2 + 2035. Let c(i) = i. Calculate y(c(k)).
2*k**2 + 2035
Let h(w) = 7*w. Let l(b) = -86*b**2. Calculate h(l(d)).
-602*d**2
Let j(u) be the second derivative of -u**4/12 + 3*u**2/2 - u. Let f(a) be the first derivative of j(a). Let d(v) = -2*v. Determine f(d(k)).
4*k
Let u(s) = 3*s + 44 - 82 + 38. Let j(g) = -22*g**2. Give j(u(m)).
-198*m**2
Let z(p) be the first derivative of 4*p**2 - 3. Let a(r) be the first derivative of -r**2/2 + 1. Calculate z(a(b)).
-8*b
Let b(k) = -2*k. Let a(y) = 6*y. Let i(m) = -67*m. Let s(x) = 66*a(x) + 6*i(x). Give s(b(u)).
12*u
Let v(t) = 11*t. Let r(i) = 16*i**2. Calculate r(v(x)).
1936*x**2
Let x(q) = -6*q**2. Let t = 1 + 2. Let g(u) = -u - u + t*u. What is g(x(w))?
-6*w**2
Let r(a) = -2*a**2 + 5*a + 5. Let g(u) = -u - 1. Let f(v) = -5*g(v) - r(v). Let w(y) = -13*y**2. Give f(w(s)).
338*s**4
Let k be (1 + 0)*4 + -1. Let o(a) = -2*a**2 + 7*a**2 - k*a**2. Let s(b) be the third derivative of -b**4/8 - 3*b**2. What is s(o(l))?
-6*l**2
Let z(k) = 8*k. Let n(d) = -d**2 + 2. Let p = -16 - -23. Let q(m) = -4*m**2 + 7. Let y(s) = p*n(s) - 2*q(s). What is y(z(b))?
64*b**2
Let l(f) be the first derivative of -f**5/30 + 2*f**2 - 2. Let c(t) be the second derivative of l(t). Let w(p) = 5*p. Calculate w(c(a)).
-10*a**2
Let s(l) be the second derivative of -l**4/6 - 2*l. Let w(m) = 8*m + 10*m - 14*m. Give w(s(q)).
-8*q**2
Let r(j) = -3491*j**2. Let h(w) = -6*w**2. Calculate r(h(y)).
-125676*y**4
Let m(o) be the first derivative of 2 + 0*o + 3/2*o**2. Let t(v) = v. What is m(t(j))?
3*j
Let y(f) = f**2. Let a(s) = s**2 - 363*s. Give y(a(x)).
x**4 - 726*x**3 + 131769*x**2
Let j(v) be the first derivative of -v**3/3 - 7. Let p(g) = -14*g**2. Give j(p(r)).
-196*r**4
Let w(z) = 0*z**2 + 2*z**2 - 3*z**2 - z**2. Let s(t) = 3*t**2 + t**2 - 5*t**2 - 3*t**2. Calculate w(s(k)).
-32*k**4
Let r(u) be the second derivative of u**3/2 - 7*u. Let a(t) be the third derivative of -t**5/30 + 2*t**2. Determine r(a(l)).
-6*l**2
Let n(j) = 6*j. Let u(t) = 25*t - 2. Determine n(u(r)).
150*r - 12
Let v(c) be the first derivative of 1 + 0*c**2 + 1/2*c**3 - c. Let y(k) be the first derivative of v(k). Let n(h) = -h**2. What is n(y(d))?
-9*d**2
Let n(z) = 2*z. Let y(f) be the first derivative of -f**5/30 - f**2/2 - 3. Let o(s) be the second derivative of y(s). Calculate n(o(x)).
-4*x**2
Let n(c) be the second derivative of -2*c + 0*c**3 + 1/6*c**4 + 0*c**2 + 0. Let v(s) = 4*s**2. Determine n(v(p)).
32*p**4
Let o(r) = 34*r. Let c(g) = -2*g**2. Give o(c(i)).
-68*i**2
Let k(g) = -18*g. Let q(w) be the first derivative of w**4/6 - w - 8. Let v(y) be the first derivative of q(y). Calculate k(v(a)).
-36*a**2
Let y(s) = -5*s. Let q(c) be the first derivative of c**2 - 4. Give q(y(v)).
-10*v
Let u(m) = 6*m**2. Let n(j) be the second derivative of j**3/6 + 7*j. Give u(n(r)).
6*r**2
Let r(g) = 159*g**2. Let h(t) = -2*t. Calculate h(r(n)).
-318*n**2
Let n(i) be the third derivative of 0*i**3 + i**2 - 1/24*i**4 + 0*i + 0. Let w(r) be the first derivative of 2*r**2 - 3. What is w(n(j))?
-4*j
Let w(v) = 59*v**2 - 17*v**2 + 30*v**2 + 15*v**2. Let b(s) = s. Give b(w(k)).
87*k**2
Let q(x) = x**2 - 1. Let s(a) = 1. Let v(l) = -5*q(l) - 5*s(l). Let o(h) = 5*h. Determine o(v(d)).
-25*d**2
Let g(r) = -5*r**2 - 5*r. Let y(i) = -5*i. What is y(g(d))?
25*d**2 + 25*d
Let h(f) = -15*f. Let d(b) be the second derivative of b**7/1260 + b**4/2 + 4*b. Let u(v) be the third derivative of d(v). Give u(h(n)).
450*n**2
Let r(m) = 6*m. Let o(f) = -4*f**2 - f**2 + 3*f**2. Give r(o(j)).
-12*j**2
Let l(o) = 0*o + o - 3*o. Let a(f) be the first derivative of -2*f**2 - 4. Give a(l(d)).
8*d
Suppose 7*l - 12 = 4*l. Let z = l + -2. Let b(o) = -2*o + o**z + 2*o. Let w(m) = 3*m**2. Calculate b(w(x)).
9*x**4
Let z(t) = 4*t**2. Let m(r) = 63*r**2 - 18. Let u(f) = 18*f**2 - 5. Let d(h) = -5*m(h) + 18*u(h). Determine d(z(k)).
144*k**4
Let f(s) = s. Let j(q) = -15*q + 1. Calculate j(f(y)).
-15*y + 1
Let u(n) be the first derivative of 3*n**2/2 + 1. Let o be 3 - 0 - (1 - 1). Let m(s) = 4*s - o*s - 3*s. What is u(m(r))?
-6*r
Let t(j) = 200*j**2 - 3*j + 2. Let r(u) = -2*u. What is t(r(n))?
800*n**2 + 6*n + 2
Let t(q) be the third derivative of 0*q**4 - 4*q**2 + 0 + 0*q + 2/15*q**5 + 0*q**3. Let c(v) = v. Calculate c(t(d)).
8*d**2
Let o(y) = -y**2. Let m(z) = 5*z. Calculate o(m(g)).
-25*g**2
Let d(x) = x**2 - x. Let w(z) = 3*z**2 - 4*z. Let q(h) = -4*d(h) + w(h). Let j(g) = -28*g. Calculate j(q(s)).
28*s**2
Let v(g) = -g**2. Let z(w) = -1047*w**2 + 1. What is v(z(b))?
-1096209*b**4 + 2094*b**2 - 1
Let i(j) = 4*j. Let y(s) = -52*s**2 - 4. What is y(i(a))?
-832*a**2 - 4
Let n(g) = -g. Let s(m) be the second derivative of 0 + 0*m**3 + m + 0*m**2 + 1/6*m**4. Determine n(s(p)).
-2*p**2
Let a(t) = -t**2. Let c(u) = u - 4. Let j be c(0). Let o be (-5 - j) + (-6)/(-2). Let n(d) = -d**o - d**2 + 4*d**2. Calculate a(n(k)).
-4*k**4
Let o(f) be the second derivative of 0*f**2 + 0 + 7/3*f**3 - 6*f. Let j(w) = -2*w. Calculate j(o(a)).
-28*a
Let m(b) = -2*b**3 + 2*b - 1. Let s be m(1). Let o(u) = -4*u**2 + 3. Let f(j) = j**2 - 1. Let i(w) = s*o(w) - 3*f(w). Let l(h) = 2*h**2. What is l(i(a))?
2*a**4
Let i(r) = 5*r - 6. Suppose -4*b = -0*b - 20. Let v(d) = 2 - d - b + 4. Let o(m) = i(m) + 6*v(m). Let j(y) = y. What is o(j(l))?
| {
"pile_set_name": "DM Mathematics"
} |
*c**2 - 14368 + 14375*c**2 - 4*c - 29*c wrt c.
118*c - 33
Let f(m) be the first derivative of 99*m**3 + 2*m**2 + 683*m - 1363. What is the second derivative of f(d) wrt d?
594
Let y = 4 + 1. Suppose -1 = y*j - 11. Find the second derivative of -4 + 6 - j + 4*b + 21*b**5 wrt b.
420*b**3
Let x(l) be the first derivative of 854*l**5/5 - 5*l**3/3 - 4*l**2 - 1564. What is the third derivative of x(w) wrt w?
20496*w
Let j(m) = -13*m - 85. Let v(a) = 14*a + 85. Let t(w) = -3*w - 34. Let l be t(-10). Let c(y) = l*v(y) - 5*j(y). Differentiate c(o) wrt o.
9
Let r = -32 - -34. Let u = 22 - 11. What is the second derivative of -4*z - u*z**r + 18*z**2 - 9*z + 17*z**2 wrt z?
48
Let k(c) = 10*c**4 + 109*c + 87*c - 117*c. Let q(o) = -19*o**4 - 159*o. Let w(j) = 5*k(j) + 3*q(j). Find the second derivative of w(f) wrt f.
-84*f**2
Let h = 534 - 532. Let v(x) = x**2 - 4. Let z be v(-3). Find the third derivative of 5*b**z - b**5 + 19*b**h + 2*b**5 - 8*b**5 wrt b.
-120*b**2
Let h be ((-120)/(-45))/(4/3*1). Let j be ((-1)/2)/(1/(-4)). Differentiate -12 - 4*b + h*b + j*b - b wrt b.
-1
Let y be (-2 - 79)/(36/(-24)) - -6. What is the second derivative of -r - 30*r + y*r + 30*r**2 wrt r?
60
Suppose 0*u - 3*u - 10 = h, 4*u + 2*h = -16. Let a be u/9 + (-6)/((-378)/1589). What is the third derivative of -24*i**3 - 9*i + a*i**2 + 9*i wrt i?
-144
Suppose -w + 22 = 4*x - 3*w, -w + 7 = 4*x. What is the third derivative of -37*o**2 + 14*o**2 - 19*o**2 + 8*o**x wrt o?
48
Find the third derivative of 870*c**6 + 650*c**2 - 84 + 84 - 64*c**2 - 2*c wrt c.
104400*c**3
Suppose 0*a + 275 = -5*a + 4*w, -5*a + w - 290 = 0. Let j = a - -66. Find the third derivative of 2*f**6 + j*f**6 + 14*f**6 + 4*f**2 + 10*f**2 wrt f.
2760*f**3
Suppose 8 = -2*a - 5*h, -5*h + 15 = 5*a - 10*h. Differentiate -a + 19*x + 3*x + 2*x**2 - 39*x with respect to x.
4*x - 17
Let f be (0 + 3 - 9/2)/(77/(-154)). Let z(q) be the second derivative of 12*q - 11*q**2 - 7/3*q**f + 0. Find the first derivative of z(a) wrt a.
-14
Differentiate 543*z + 590*z + 510*z - 2008*z - 2754 wrt z.
-365
Let k = 1 + 3. Let l = 20 - 18. What is the first derivative of 7 - 5*i**2 - 6*i**2 + k*i**l wrt i?
-14*i
Let v(n) = 2787*n**3 + 4*n**2 + 11*n - 2. Let w(u) = -13936*u**3 - 22*u**2 - 55*u + 10. Let h(f) = -11*v(f) - 2*w(f). Find the second derivative of h(i) wrt i.
-16710*i
Suppose -5*j + g = -g + 610, 0 = -5*j + 4*g - 610. Let u = j - -127. Find the second derivative of 4*s**4 + 20*s**5 + 18*s**u - 4*s**4 - 8*s wrt s.
760*s**3
Let s(b) be the second derivative of 0*b**6 + 0*b**3 + 0 + 0*b**2 + 0*b**5 - 29/4*b**4 + 13*b - 16/21*b**7. Find the third derivative of s(c) wrt c.
-1920*c**2
Suppose 86 = 24*u + 19*u. Find the third derivative of 19*x**u + 159*x**3 - 311*x**2 - x**4 + 141*x**3 - 35*x**3 - 29*x**3 wrt x.
-24*x + 1416
Let w(o) be the second derivative of -520*o**7/21 + o**6/10 - o**5/20 - o**4/12 - 1687*o**3/6 + 4238*o. What is the third derivative of w(f) wrt f?
-62400*f**2 + 72*f - 6
Suppose -q - 4*w + 8 = -0*q, 0 = 5*q - 3*w + 6. What is the derivative of -y + 2 + q*y - 64 wrt y?
-1
Let d be (-72)/15*-1 + (-12)/(-60). Suppose 0 = -d*v + 2*g + 2, 2 = -v - g + 8. What is the derivative of 120*c**v - 11 + 56 - 106*c**2 - 1 wrt c?
28*c
What is the derivative of -2384*h + 333 - 1308 + 482 wrt h?
-2384
Let t(a) = a**3 - 4*a**2 + 10*a - 15. Let b be t(3). What is the third derivative of 2 - 313*x**6 + 560*x**6 - 21*x**2 - 304*x**b wrt x?
-6840*x**3
Let w(q) = 4575*q**3 + 6682*q**2 - 14*q + 8. Let i(h) = 1524*h**3 + 2227*h**2 - 5*h + 3. Let g(m) = -14*i(m) + 5*w(m). Find the third derivative of g(j) wrt j.
9234
Find the second derivative of -3550*c - 9677*c**2 - 3570*c + 7130*c + 214 wrt c.
-19354
Let s(v) be the first derivative of 26*v**6 - 4*v**3/3 + 2453*v**2/2 + 1797. Find the second derivative of s(a) wrt a.
3120*a**3 - 8
Let d(x) = -x**2 - 4*x + 2. Let r be d(0). Find the third derivative of 29 - 30 + 163*q**3 + 9*q**2 - 5*q**r wrt q.
978
Let l(y) = y**3 + 4*y**2 - 5*y - 12. Let v be l(-4). Find the second derivative of -10*r**3 + 37*r**2 + 23*r + v*r**3 - 39*r**2 wrt r.
-12*r - 4
Let y be (21/9 - 2)*(2 + 1). What is the derivative of y - 5806*w**3 + 5806*w**3 - 102*w**4 + 8 wrt w?
-408*w**3
Let k(u) be the third derivative of 1493*u**4/8 - 347*u**3/6 - 5*u**2 + 48*u. What is the first derivative of k(a) wrt a?
4479
Let z(s) be the third derivative of 2837*s**4/24 + 580*s**3/3 + 2429*s**2 - 1. What is the derivative of z(q) wrt q?
2837
Let x be (47 + (1 - 4))/2. Let g be (-3 - (1 - x))/(3 - 1). What is the derivative of 18 + 239*y**3 - 241*y**3 + g wrt y?
-6*y**2
Let z(f) = -7535*f + 11650. Let i(q) = 7479*q - 11650. Let d(o) = 5*i(o) + 6*z(o). Find the first derivative of d(k) wrt k.
-7815
Let r(h) = -421*h**2 + 5*h - 3897. Let g(c) = 2100*c**2 - 26*c + 19486. Let v(p) = 2*g(p) + 11*r(p). What is the derivative of v(n) wrt n?
-862*n + 3
Suppose j - 357 = -297. What is the first derivative of -j - 21*o - 39 + 81 wrt o?
-21
Let z(w) be the first derivative of 63*w**4/4 + 875*w - 996. What is the first derivative of z(n) wrt n?
189*n**2
Let s be -6*((-380)/8)/(-5). Let k = 77 + s. What is the derivative of 9 - 4*h - 2*h - 1 + k*h wrt h?
14
Let d(f) = -3797*f**3 - 2*f**2 + 768*f + 2. Let t(u) = 2*u**3 - u**2 - 2*u + 1. Let g(c) = -d(c) + 2*t(c). Find the second derivative of g(a) wrt a.
22806*a
Let n(i) = -7*i - 221. Let z be n(-32). What is the third derivative of 107*d**6 + 132*d**2 - 91*d**2 + 29*d**2 + d**z - 3*d**4 + 3*d**4 wrt d?
12840*d**3 + 6
What is the third derivative of -621*o**4 - 704*o**4 - 1207*o**2 - 529*o**2 + 416*o**2 wrt o?
-31800*o
Suppose 10*m + 2309 = 7989. Find the first derivative of 3*i + 8*i**4 - 4*i + 540 - m wrt i.
32*i**3 - 1
Suppose 0 = 2*y - 5*g + 1 - 24, -25 = -4*y + 3*g. What is the second derivative of 32*l**4 - 17 + 154*l**4 - 7*l - 30*l**y + 31*l**4 + 69*l**4 wrt l?
3072*l**2
Let f be (1 - 0)/(-6 - -8). Let m(t) be the second derivative of -14*t - 11/10*t**5 + 0*t**3 + 0 + 0*t**4 - f*t**2. Differentiate m(i) wrt i.
-66*i**2
What is the third derivative of 41 - 11*a**2 - 3 - 27 + 13 - 272*a**5 wrt a?
-16320*a**2
Let r = 3 + 10. Let f = r + -7. Find the first derivative of -f*g**4 - 5*g**4 - 35 + 36*g**4 wrt g.
100*g**3
Let y(z) be the third derivative of -1/30*z**5 + 0*z + 1/2*z**3 + 42 - 23/210*z**7 + 2*z**2 + 1/24*z**4 + 0*z**6. Find the second derivative of y(n) wrt n.
-276*n**2 - 4
Find the third derivative of -43008*q + 21470*q + 2 + q**2 - 4508*q**3 + 21358*q wrt q.
-27048
Find the third derivative of -2270*c**3 - 2272*c**3 + 4542*c**3 + 2671*c**2 + 3287*c**5 + 9*c**5 wrt c.
197760*c**2
Let f(j) = 1091*j**3 + 35*j**2 - 28*j + 2. Let w(p) = -2182*p**3 - 78*p**2 + 56*p - 5. Let x(h) = 5*f(h) + 2*w(h). Find the third derivative of x(s) wrt s.
6546
Suppose -3*l = -19 + 13. Differentiate l*d**3 - 4*d**4 + 29 - 19*d**4 - 13*d**4 + 12*d**4 with respect to d.
-96*d**3 + 6*d**2
Suppose -3*z - 22 = -f, -4*f - 3*z + 0 + 58 = 0. Suppose 9*s - f = 20. Find the third derivative of 27*b**4 + 12*b**6 - 58*b**4 + 9*b**2 + 31*b**s wrt b.
1440*b**3
What is the second derivative of 221*d**4 - 350*d - 437*d + 1063*d wrt d?
2652*d**2
Let y(q) be the third derivative of 207*q**8/56 - 4*q**5/5 - 13*q**3/3 - 5*q**2 + 3*q - 58. What is the third derivative of y(v) wrt v?
74520*v**2
Let v(b) be the second derivative of -327*b**6/10 + b**4/12 + 2*b**3 - 770*b. What is the third derivative of v(s) wrt s?
-23544*s
Differentiate -1268*c - 1205 - 1102 + 2986 with respect to c.
-1268
Let x(g) be the second derivative of -617*g**6/30 + g**4/12 + 59*g**2/2 - 31*g - 13. What is the third derivative of x(n) wrt n?
-14808*n
Suppose -c = 3*t - 11, 2*t + 0*c = c + 14. Suppose -i = -4*y - 11, 2*i - 4*y = 3*i + t. What is the second derivative of -i*k**4 - 80*k + 78*k + k**4 wrt k?
-24*k**2
Find the second derivative of 374*r - 158*r + 1123*r - 1987*r**2 + 75*r + 1045*r wrt r.
-3974
Let n = -25 - -28. Let i be 1/(-2) - (-210)/20. What is the derivative of -5 + i - n + 7*u**4 wrt u?
28*u**3
Let n(r) be the first derivative of -r**5/5 - 121*r**4/4 - 2919*r - 7744. Differentiate n(k) wrt k.
-4*k**3 - 363*k**2
Let x(u) be the second derivative of 194*u**4/3 + u**3/6 + 2639*u**2/2 - 1555*u. Differentiate x(o) wrt o.
1552*o + 1
L | {
"pile_set_name": "DM Mathematics"
} |
roys.
1/70
What is prob of sequence kxqp when four letters picked without replacement from {q: 1, m: 1, x: 1, k: 1, d: 2, p: 1}?
1/840
Calculate prob of sequence dxx when three letters picked without replacement from jxjrjdxxjxjsjjsrd.
1/170
Calculate prob of sequence oxr when three letters picked without replacement from {q: 1, m: 3, x: 1, u: 3, r: 2, o: 1}.
1/495
Calculate prob of sequence feef when four letters picked without replacement from {w: 5, f: 8, e: 2}.
2/585
What is prob of sequence jdbd when four letters picked without replacement from {d: 2, b: 4, j: 3}?
1/126
Two letters picked without replacement from {h: 1, e: 2, v: 1, p: 3}. What is prob of sequence vp?
1/14
Two letters picked without replacement from {a: 3, l: 7, v: 3, c: 6}. What is prob of sequence cl?
7/57
Two letters picked without replacement from {q: 6, v: 6}. Give prob of sequence qv.
3/11
Two letters picked without replacement from {i: 1, j: 1, p: 2, q: 1, g: 2}. Give prob of sequence ig.
1/21
Calculate prob of sequence jpvp when four letters picked without replacement from {p: 3, j: 2, v: 5, r: 2}.
1/198
Three letters picked without replacement from {t: 11, d: 1, u: 1, j: 6, f: 1}. Give prob of sequence jjj.
1/57
What is prob of sequence xzz when three letters picked without replacement from zzxz?
1/4
Four letters picked without replacement from ppppppzppz. What is prob of sequence pzpz?
1/45
Calculate prob of sequence wdw when three letters picked without replacement from wdddwdwwwd.
5/36
Four letters picked without replacement from wurrwuuurrwur. What is prob of sequence uwrr?
5/286
Calculate prob of sequence lu when two letters picked without replacement from zzuzzzlzzelu.
1/33
What is prob of sequence vr when two letters picked without replacement from adrsvra?
1/21
Two letters picked without replacement from urrfuarurffr. Give prob of sequence uf.
3/44
Calculate prob of sequence ihjr when four letters picked without replacement from {r: 7, i: 1, j: 1, h: 3}.
7/3960
What is prob of sequence lb when two letters picked without replacement from {l: 1, p: 4, b: 6}?
3/55
Calculate prob of sequence axx when three letters picked without replacement from {x: 2, a: 2}.
1/6
Calculate prob of sequence ug when two letters picked without replacement from {g: 8, u: 2}.
8/45
Two letters picked without replacement from {v: 1, b: 1, q: 1, z: 1, d: 1}. What is prob of sequence qz?
1/20
Calculate prob of sequence lrl when three letters picked without replacement from {r: 1, l: 14}.
1/15
Three letters picked without replacement from meemmmeccecememmmem. Give prob of sequence cce.
7/969
Three letters picked without replacement from {k: 1, v: 1, l: 4, d: 1, a: 8}. What is prob of sequence llv?
2/455
Calculate prob of sequence mfcl when four letters picked without replacement from {c: 1, m: 1, l: 1, f: 1, p: 1}.
1/120
Two letters picked without replacement from {s: 1, n: 1, c: 1, m: 1, l: 1, j: 2}. Give prob of sequence sn.
1/42
Two letters picked without replacement from sbksubud. What is prob of sequence bd?
1/28
Calculate prob of sequence ek when two letters picked without replacement from etoktuqu.
1/56
Calculate prob of sequence nwwn when four letters picked without replacement from {p: 6, w: 9, n: 4}.
3/323
Three letters picked without replacement from {w: 4, h: 2, s: 3, n: 1, v: 1}. Give prob of sequence hwh.
4/495
Two letters picked without replacement from {j: 1, p: 2, g: 1, v: 1, y: 2, n: 1}. What is prob of sequence nv?
1/56
Calculate prob of sequence gg when two letters picked without replacement from {r: 5, g: 5, l: 5, p: 1, a: 3}.
10/171
What is prob of sequence pj when two letters picked without replacement from {p: 1, h: 2, j: 3, s: 1, g: 5, b: 3}?
1/70
Calculate prob of sequence pkmp when four letters picked without replacement from bpbpmbllbkkp.
1/990
Three letters picked without replacement from qvvqqqqvqqqqqqqqvqqq. What is prob of sequence qvv?
8/285
What is prob of sequence tjj when three letters picked without replacement from jttj?
1/6
What is prob of sequence yg when two letters picked without replacement from {n: 2, g: 6, x: 1, y: 2}?
6/55
Two letters picked without replacement from {o: 2, v: 2, t: 4}. Give prob of sequence tt.
3/14
Calculate prob of sequence bkk when three letters picked without replacement from {b: 10, k: 10}.
5/38
Three letters picked without replacement from {j: 5, f: 3, d: 4, m: 1, r: 5}. Give prob of sequence frd.
5/408
Four letters picked without replacement from {v: 6, z: 4}. What is prob of sequence zzzv?
1/35
Two letters picked without replacement from {n: 15, h: 5}. What is prob of sequence hh?
1/19
Calculate prob of sequence nj when two letters picked without replacement from jjdjjjjjjjn.
9/110
What is prob of sequence vv when two letters picked without replacement from {v: 8, f: 6, y: 4, q: 1, t: 1}?
14/95
Calculate prob of sequence rx when two letters picked without replacement from oxrvrxrcoccmvvrvooov.
2/95
Three letters picked without replacement from uvyuity. What is prob of sequence tyu?
2/105
Calculate prob of sequence aap when three letters picked without replacement from agaacggpcagppr.
3/182
What is prob of sequence nnpe when four letters picked without replacement from {p: 1, t: 1, e: 1, i: 1, n: 2, x: 1}?
1/420
What is prob of sequence rw when two letters picked without replacement from {c: 1, p: 1, r: 1, w: 1, d: 1}?
1/20
What is prob of sequence oi when two letters picked without replacement from eiozoeezgzozeyeogee?
2/171
Two letters picked without replacement from ttsgcttccccckxtcccc. Give prob of sequence tc.
25/171
Two letters picked without replacement from {n: 10, t: 4}. What is prob of sequence tn?
20/91
Two letters picked without replacement from rrtgtggg. Give prob of sequence rg.
1/7
Three letters picked without replacement from {f: 1, q: 2, z: 1}. What is prob of sequence qzq?
1/12
Two letters picked without replacement from qjtjhqjsjqjqjjt. What is prob of sequence qj?
2/15
Four letters picked without replacement from {u: 1, b: 1, m: 2, o: 1, k: 2, t: 2}. Give prob of sequence kbom.
1/756
What is prob of sequence mh when two letters picked without replacement from mhummwwiim?
2/45
Calculate prob of sequence hxnx when four letters picked without replacement from kkknhnkxhxx.
1/330
Calculate prob of sequence ccwo when four letters picked without replacement from cjjjccuowu.
1/840
Calculate prob of sequence rb when two letters picked without replacement from {r: 1, b: 1, v: 1, d: 3, c: 5}.
1/110
Four letters picked without replacement from wwkwkkwkwkkkkk. Give prob of sequence kwww.
45/2002
Three letters picked without replacement from {t: 3, y: 3, f: 1, v: 5, s: 6, m: 2}. What is prob of sequence ymf?
1/1140
Two letters picked without replacement from vvbvvvvbvvvvvvvbvbv. What is prob of sequence vv?
35/57
What is prob of sequence kf when two letters picked without replacement from {c: 5, f: 1, z: 4, w: 1, k: 3}?
3/182
Three letters picked without replacement from jojqjsojoqsojoil. What is prob of sequence ilq?
1/1680
What is prob of sequence ggvo when four letters picked without replacement from gvnogovoong?
1/165
Calculate prob of sequence cssv when four letters picked without replacement from {z: 1, s: 3, c: 6, k: 1, v: 3}.
9/2002
Calculate prob of sequence gs when two letters picked without replacement from {g: 1, s: 5, p: 2, b: 4, o: 2, r: 1}.
1/42
What is prob of sequence bp when two letters picked without replacement from {b: 2, p: 1}?
1/3
What is prob of sequence ru when two letters picked without replacement from ruuuuuuruuuuuuuuuruu?
51/380
Four letters picked without replacement from mplrdrdlprdrrppdpd. Give prob of sequence rrdr.
5/1224
Two letters picked without replacement from xesoxeqooxe. Give prob of sequence eq.
3/110
Two letters picked without replacement from vnvnquunvyyxqvn. What is prob of sequence nu?
4/105
What is prob of sequence fr when two letters picked without replacement from srrrfrfsrrr?
7/55
Calculate prob of sequence eg when two letters picked without replacement from {e: 2, g: 1}.
1/3
What is prob of sequence ofg when three letters picked without replacement from {f: 1, o: 1, g: 1}?
1/6
Four letters picked without replacement from {s: 2, j: 1, a: 2}. What is prob of | {
"pile_set_name": "DM Mathematics"
} |
+ 2/103. Let s = -4 - -3. Let y = -9/28 - -4/7. What is the nearest to s in 5, y, c?
y
Suppose 2*b + 4 = b. Let p = -13 - -14. Let n = p - b. What is the nearest to -1 in -0.2, 2, n?
-0.2
Let z = 1.6 + -1.6. Which is the closest to z? (a) -3 (b) 2/5 (c) 31
b
Let u = 82 + -81.9. What is the nearest to u in -0.4, 3, -6, 1/2?
1/2
Let n = -36.8 - -37. Let g be 3/(-5) + 1 + -1. Let r = 0.12 - -2.88. Which is the closest to n? (a) g (b) -4 (c) r
a
Let w = -5.4 - -5. Let s = -3679 - -3684. What is the closest to -2/7 in 6, s, w?
w
Let j = -0.0949 + 0.0949. What is the closest to -1/3 in j, -3/7, -0.5, 0.4?
-3/7
Let d = -6 - -4. Let h = 1.67 - 2.596. Let s = -0.074 + h. Which is the nearest to d? (a) -4/3 (b) -2/11 (c) s
a
Let g = 2.75 + -2.45. Which is the closest to 24? (a) g (b) 0.4 (c) 0.5 (d) -1
c
Let x = 0.459 + 0.001. Let m = x + -0.16. Let p = 0.36 + 0.04. What is the closest to 0 in p, -2, m?
m
Suppose -3*x = -7*x - 20. Let m = 0.347 + 0.153. Let u = 0.04 - -0.06. Which is the closest to 1/2? (a) u (b) m (c) x
b
Let q be (-3)/(-12) + (-58)/16. Let l = q + 33/8. Let p = -19/6 - -121/42. What is the closest to 1/4 in p, l, -0.5?
l
Let m = -0.284 + 0.12. Let n = m + -0.036. Which is the closest to 2/3? (a) 1 (b) n (c) 4/5
c
Let q = 7721/4 + -1930. Which is the closest to q? (a) 50 (b) 4 (c) 1/4
c
Let u = -2 + 1.9. Suppose 0*s + 18 = 3*s. Let d be (-72)/(-126)*s/(-8). Which is the nearest to 2/3? (a) d (b) u (c) -1/6
b
Let s be (365/(-50) - -7)/((-6)/8). Which is the nearest to s? (a) 4 (b) 12 (c) 2
c
Let b = 704 + -2815/4. What is the closest to b in 1/4, -0.8, 1/3?
1/4
Suppose 3*b - 3*k = -2*b + 8, b = 3*k + 4. What is the closest to 9 in -0.04, b, 0.2?
b
Let g = 96 - 1250/13. What is the nearest to 0 in 2, g, -1/5?
g
Let x = -3.01 - -3.05. What is the closest to -1 in -2/9, -2, x?
-2/9
Let h = -1.1 - 8.9. Let n = 10.4 + h. What is the closest to 1 in -3/5, -4, n?
n
Let v = 11.1 + -11.5. Let p = -3 + 2. Which is the closest to p? (a) v (b) -3 (c) 2/3
a
Let s = -42/47 + 274/517. Let w = 2.229 + -6.229. What is the nearest to s in 4, 3, w?
3
Let x be 8/20 + 14/(-10). Let u be (-4)/6 - ((-32)/24 - x). What is the closest to -0.1 in 5, u, -0.2?
-0.2
Let z = -107 - -533/5. Let d = 0.54 - 0.5. Which is the closest to d? (a) -2 (b) -3 (c) z
c
Let h(m) = -m**3 - 50*m**2 - m - 50. Let s be h(-50). Which is the closest to 0.1? (a) -0.2 (b) 2.7 (c) s
c
Let o = 282 - 283. Let q(r) = r**2 - 6*r + 1. Suppose -g = 2*y + 2, 2*g = 5*y - 2*y + 24. Let i be q(g). What is the nearest to 1/4 in 1/4, o, i?
1/4
Let j(k) = k**2 + 15*k - 1. Let f be j(-4). Let o = -224/5 - f. Which is the closest to -2? (a) 0.1 (b) o (c) -3/5
c
Let s = -1489 - -1492. Let o = -0.3 - -0.2. Which is the nearest to -0.2? (a) -6 (b) o (c) s
b
Let u be (20/(-30))/((-2)/(-2)). Let s(g) = -2*g**2 - g + 6 + g**2 - 16. Let j be s(0). Which is the nearest to u? (a) 0 (b) 2/3 (c) j
a
Let z = -307 + 306.9. Which is the closest to -86? (a) z (b) -2/5 (c) 5
b
Let l be 35/28 + 36/(-24). What is the nearest to -1 in 12, 0.4, l?
l
Let j = 3.78 + 0.22. Let q = -18 - -31. Let l = q - 13. Which is the closest to l? (a) j (b) 1 (c) 2/9
c
Suppose -5*h + 5*g = -220, 12*g - 17*g = -4*h + 172. What is the closest to -1 in h, -0.5, -1, -0.4?
-1
Suppose 0 = -l + 2*k + 6, -2 = l - 0*k + 2*k. Suppose 2*i + 3*i = -25, -4*a + 29 = -5*i. Let t be (a/(-3))/((-12)/(-9)). What is the closest to t in 4, -0.5, l?
-0.5
Let u = 353.21 + -356. Let i = -0.21 + u. Let t = -2.9 - i. Which is the closest to 2/5? (a) t (b) 0.3 (c) -4
b
Let b = -28 + 27. Let l = 4.5 - 0.5. Let j = 3.8 - l. What is the nearest to b in 1/2, -3, j?
j
Let u = 22 + -32. Let i = u - -6. Let h = 0.08 + 0.02. Which is the closest to h? (a) i (b) 3/5 (c) 1/3
c
Let x be (-3 - (-45)/20)/(90/16). Which is the closest to 1? (a) -5 (b) x (c) 0.4 (d) 0.5
d
Let g = 4.3 + -4. Let j be ((-24)/30)/(((-40)/25)/(-4)). What is the closest to j in 2/7, -1, g?
-1
Let i = -135.61 - 2.39. Let k = -137 - i. Which is the closest to 2/3? (a) 2/27 (b) -2/11 (c) k
c
Let j = -25.81 - -25.31. Which is the closest to -0.8? (a) -3/7 (b) j (c) 3 (d) 0.5
b
Let p = 12 - 7. Let f = 2 + -1.7. Let l = 172.3 + -172.4. Which is the nearest to l? (a) 2/3 (b) f (c) p
b
Let t = 2 - 3. Let h = 95 + -47. Let f = h + -40. Which is the closest to t? (a) f (b) 5 (c) 3/4
c
Suppose 31 = 12*l - 29. Which is the closest to -0.1? (a) -4/5 (b) -6 (c) l (d) -0.4
d
Suppose -9 = s + y - 12, -4*y + 11 = 3*s. Which is the closest to s? (a) 10 (b) -5/2 (c) 0.1 (d) 1/3
d
Let m = -280050/79 + 3545. What is the nearest to -2 in 2, 3, m, 0.3?
m
Let k be (-17)/18 - (-9 - (-2 - 6)). Which is the nearest to k? (a) 0 (b) -9 (c) 2
a
Let v(r) = r**3 + 4*r**2 - 5*r + 4. Let q be v(-5). Let w be q/6 - (-14)/(-6). Let h = 0.11 + 0.09. Which is the closest to h? (a) -2/5 (b) w (c) 5
a
Let q be (13 + -16)*(-3)/9. What is the nearest to q in -2/5, 3, -0.3, 5?
-0.3
Let h = 12 - 10. Let f = h - -3. Which is the closest to -1/2? (a) -4 (b) f (c) -2
c
Let u be ((-3)/42)/((-13)/52). Which is the nearest to u? (a) -0.17 (b) -0.03 (c) -3 (d) 0.4
d
Let d = 23.73 - -0.27. Let l = 24.4 - d. What is the nearest to -3 in 2, -0.1, l?
-0.1
Let v = -253/4344 + 3/181. Which is the nearest to 0? (a) -4 (b) 1 (c) v
c
Let z = 0.497 - 8.497. Which is the closest to 1/3? (a) 8 (b) -4 (c) z
b
Let h = 351.9 + -368. Let t = h + 16. Let i = -2.5 - -3. What is the nearest to 1/3 in -1, i, t?
i
Let p(v) = 8*v - 106. Let u be p(13). Which is the nearest to -0.3? (a) -3 (b) u (c) 2/11
c
Let d be 2/((-3 + 4)*-3). Let i = 456 - 3190/7. Which is the closest to d? (a) -5 (b) i (c) -0.4
c
Let k be 7/4 - 2/(-8). Let u(s) = -6*s + 2. Let z(m) = -m + 1. Let i(l) = u(l) - 5*z(l). Let t be i(-3). Which is the closest to -0.1? (a) t (b) -5 (c) k
a
Let n be -4 - (-5 - -3)/(6/13). Which is the closest to 8? (a) -0.2 (b) -1/3 (c) -2/3 (d) n
d
Let f be -3 - (-2)/(0 + 2). Let q = 179.8 + -179.87. Which is the nearest to 0? (a) q (b) 1/3 (c) f
a
Let z = -4 + 6. Suppose -4*h - 4*k + 4 = h, -3*k - 24 = -3*h. Suppose -4 = -3*y - 2*l, h*y - 5*l + 4 = -10*l. What is the nearest to 1 in -5/2, y, z?
z
Let v = 3.971 + 0.029. What is the nearest to 0 in v, 2/7, 0.5?
2/7
Let i = -4.4 + 4. Let n be 50/24 + (-4)/(-6). Let f = 9/4 - n. Which is the closest to -2/3? (a) f (b) 0.5 (c) i
a
Let n = 0.63 + -0.13. Let b = 20 - 22. Let g = 0 + 1. What is the nearest to g in -2/13, b, n?
n
Let w(c) = c**3 - 4*c**2 + 4*c - 4. Let x be w(3). Let v = -0.15 + -3.85. Let h = -7/15 + 1/15. What is the closest to h in v, x, 0.1?
0.1
Suppose 0 = -0*b - b. Let s = 35 - 179/5. Let n = 2.9 + -3. What is the nearest to b in n, s, 0.2?
n
Let w be (-35)/(-36) + (-135)/180. Which is the nearest to 0? (a) 0 (b) w (c) 0.03
a
Let i = 0.085 - -0.115. Which is the closest to 0? (a) 2/7 (b) 25 (c) i
c
Let w = -27 - -14. Let x = 73 - 86.5. Let d = x - w. What is the nearest to -1/4 in -4, d, -1/5?
-1/5
Let y = -0.1814 + -2.8186. Let x = -0.2 - -1.2. Let r = x - 1. Which is the nearest to r? (a) y (b) 2 (c) 0.4
c
Let y = 1.67 + 0.43. Let j = 0.9 + y. Let q = 0.95 - 0.75. Which is the nearest to q? (a) j (b) 0 (c) -2/17
b
Let a = -154 + 165.9. Let s = a - 11.9. What is the nearest to 2/89 in 0.1, s, 3?
s
Let l = -763 - -762.9. What is the nearest to l in 2/17, -2/7, -2, -4?
-2/7
Suppose 0 = -9*o + 6*o + 12. Suppose -2*u + 20 = -o*t - 6*u, 2 = -4*t + 5*u. Which is the closest to -0.2? (a) t (b) -2/17 (c) -2/7
b
Let o be (-36)/5 - 77/(-11). Which is the nearest to -7? (a) 4 (b) 0.5 (c) o (d) -5
d
Let l = 0 - 0.1. Let p = 61.8 - 61.7. Which is the closest to p? (a) l (b) -3/4 (c) -0.4
a
Let j be (-4 - 1) + 1/(-1). Let x(n) = -2*n**2 - 19*n - 4. Let o be x(-9). Let z = j + o. What is the closest to -1/4 in 0.3, z, -0.4?
-0.4
Let k be 24/(-40) + (-814)/110. Which is the nearest to 2? (a) -5 (b) k (c) 0.2
c
Suppose 4*s - 16 = -4*z, -z - 4*z + s = -14. What is the nearest to 0.2 in 12, z, 0, -1?
0
Let s = 1640.64 + -1641. Which is the nearest to -2? (a) 1 (b) s (c) 2/3 (d) -0.03
b
Let z = 2.417 + -2.71. Let k = z - 0.007. Which is the closest to -3/2? (a) -4 (b) k ( | {
"pile_set_name": "DM Mathematics"
} |
289
Divide -420075 by 2986.
-420075/2986
1126546 divided by -16
-563273/8
Divide -4 by -6817906.
2/3408953
Divide -60014217 by -2.
60014217/2
Calculate 4 divided by 265942980.
1/66485745
Divide -1 by 22929735.
-1/22929735
6541767 divided by 726863
9
Divide -85750880 by 8.
-10718860
Calculate 72865644 divided by -3.
-24288548
What is 8681442 divided by 798?
10879
-239997203 divided by -23
10434661
Calculate 17556224 divided by -20.
-4389056/5
Divide 1588 by 3355.
1588/3355
Calculate 77514657 divided by 2348929.
33
Divide 27143 by -754.
-27143/754
Divide -4472672 by 944.
-4738
Divide 14914930 by 8.
7457465/4
-1461669330 divided by 22146505
-66
What is -2600075 divided by -9?
2600075/9
1361043900 divided by 37005
36780
-7803720 divided by -3816
2045
Calculate 3850850 divided by -1925425.
-2
6613 divided by -25
-6613/25
Divide -3 by 2107726.
-3/2107726
187005936 divided by 2704
69159
17263 divided by 4045
17263/4045
Calculate -7540169 divided by 13.
-580013
What is -1792 divided by 19245?
-1792/19245
Divide -10201330 by 351770.
-29
Divide 4781 by 14589.
4781/14589
Calculate 69002605 divided by -13800521.
-5
What is 21503485 divided by -4300697?
-5
62662 divided by 53
62662/53
289300 divided by -550
-526
-4 divided by 3310840
-1/827710
Calculate -32330127 divided by 10776709.
-3
What is -67467820 divided by 69340?
-973
Divide -566 by -142463.
566/142463
Calculate -1015060 divided by -3.
1015060/3
-3482473 divided by -1
3482473
Divide -177 by -2202805.
177/2202805
What is 23985808 divided by 88?
272566
Divide -3629 by -967.
3629/967
What is -94270831 divided by -375581?
251
What is -6046755 divided by 5?
-1209351
-276785646 divided by -6
46130941
What is -23760794 divided by -2?
11880397
Calculate 168 divided by -176360.
-21/22045
Calculate 115714 divided by 93.
115714/93
15143504 divided by 8
1892938
-5650488 divided by 8
-706311
Calculate 9149828 divided by 13.
9149828/13
46033 divided by 416
3541/32
5886810 divided by 43606
135
Calculate 7488731 divided by 7.
7488731/7
Calculate -1048135 divided by 935.
-1121
What is 328 divided by 84576?
41/10572
Divide 1482712 by -6391.
-232
Calculate -4340008 divided by -458.
9476
Divide -1164492 by -18.
64694
What is 1270304 divided by 14?
90736
What is -1659936 divided by -414984?
4
What is 35644020 divided by -8911005?
-4
Divide -873 by 48275.
-873/48275
What is 2 divided by 1453705?
2/1453705
Calculate 1 divided by 3908920.
1/3908920
Calculate 19902789 divided by 4.
19902789/4
What is 0 divided by -33160811?
0
Divide 17075334 by -2.
-8537667
683832 divided by -6
-113972
29 divided by -3007705
-29/3007705
What is 11930490 divided by 60255?
198
Calculate -3137420 divided by -285220.
11
Divide -16398830 by -66934.
245
17 divided by 26968053
17/26968053
-112 divided by -160427
112/160427
2 divided by 15335311
2/15335311
Calculate -13296294 divided by -9.
1477366
Calculate -1015761 divided by -1015761.
1
What is 113505 divided by -37835?
-3
What is -3469 divided by 404?
-3469/404
What is -34 divided by -1203873?
34/1203873
Divide 2 by -52882157.
-2/52882157
4366 divided by 26
2183/13
Calculate -2996 divided by -10553.
2996/10553
Divide -26016 by -23378.
13008/11689
Divide 189768448 by -64.
-2965132
Calculate -2 divided by -16669805.
2/16669805
What is -57658305 divided by -19605?
2941
-11176802 divided by 798343
-14
43 divided by -79089
-43/79089
What is 76982535 divided by 21?
3665835
Calculate -1535705124 divided by -7640324.
201
What is -748751016 divided by 4958616?
-151
Divide 15024 by 532.
3756/133
46175058 divided by -558
-82751
-242 divided by 319273
-242/319273
Divide -4500640 by 736.
-6115
What is 11413 divided by 6?
11413/6
Divide 928096 by -5044.
-184
-4 divided by -8830723
4/8830723
Calculate -639895 divided by 8.
-639895/8
Divide -1602687 by -55.
1602687/55
Divide -2749 by -1063.
2749/1063
Divide 976118708 by 4036.
241853
What is 5 divided by -674436?
-5/674436
Divide 362136 by -30178.
-12
Divide 36521430 by 10061.
3630
What is -111267910 divided by -26?
4279535
What is 3183180 divided by -1166?
-2730
What is 102153220 divided by 20430644?
5
Divide 55808130 by 2.
27904065
-210 divided by 87436
-105/43718
What is 3 divided by 92117849?
3/92117849
What is 3 divided by 3529997?
3/3529997
Divide 4330844 by -309346.
-14
What is 81 divided by 2789128?
81/2789128
What is -291 divided by 57704?
-291/57704
-2200523 divided by -5
2200523/5
What is -4314015 divided by -15?
287601
Divide -1559122 by -2.
779561
Calculate -564952300 divided by -2.
282476150
What is 981355 divided by -5?
-196271
Calculate -3 divided by -191770931.
3/191770931
What is -342472 divided by 12?
-85618/3
What is -434547750 divided by -650?
668535
What is 50766980 divided by -13970?
-3634
Divide 177830885 by -35566177.
-5
Calculate 556423580 divided by -145.
-3837404
What is 28220424 divided by -14110212?
-2
Divide 323679545 by -4.
-323679545/4
Calculate 28739164 divided by 2.
14369582
113582 divided by -1
-113582
Calculate 2040500 divided by -22.
-92750
Divide 186178388 by 47543.
3916
-121 divided by 304776
-121/304776
Divide 2012775 by 1.
2012775
What is 143892 divided by -361?
-143892/361
Divide 1029 by 17493.
1/17
What is 38197363 divided by 22723?
1681
Calculate 4453134 divided by 21.
212054
Divide -156446 by -453.
156446/453
-16695754 divided by 34
-8347877/17
Calculate 32 divided by -17160738.
-16/8580369
Divide 319190677 by -12149.
-26273
What is 8014298 divided by -11?
-8014298/11
Calculate -208007149 divided by -3.
208007149/3
Divide -142368666 by 1031657.
-138
Calculate 4102461 divided by 209.
19629
Divide -1229955 by 3.
-409985
Calculate -663910464 divided by -38.
17471328
What is -5376120 divided by -284?
18930
Divide -3 by -47943306.
1/15981102
Divide -345826049 by -187643.
1843
Divide -298266561 by -1341.
222421
38617780 divided by -3
-38617780/3
What is 31822725 divided by 11345?
2805
What is -28269472 divided by -576928?
49
Divide -632728 by 1472.
-79091/184
23 divided by 1697659
23/1697659
6577824 divided by -205557
-32
Calculate -759449200 divided by -5.
151889840
-5323486 divided by -20554
259
Divide -7186140 by -39.
184260
402896193 divided by 4854171
83
277196950 divided by -138598475
-2
Divide 33341872 by 8335468.
4
What is -46516470 divided by -231?
201370
Divide 4 by -4805416.
-1/1201354
Divide 2 by 3034537.
2/3034537
4979 divided by -13969
-4979/13969
Divide 5 by -1250369.
-5/1250369
Calculate 15766680 divided by -15830.
-996
-50185377 divided by 187
-268371
What is -12988184 divided by 4?
-3247046
Divide 13203870 by 2.
6601935
Divide -31498764 by 3.
-10499588
Divide 72234162 by -132297.
-546
Calculate 47218752 divided by -15739584.
-3
What is 20250 divided by -13328?
-10125/6664
-14908010 divided by 65
-229354
Divide -1604327 by 5669.
-283
273374 divided by 1986
136687/993
What is 99486 divided by 33162?
3
-7883716 divided by 764
-10319
What is -2243759 divided by -8?
2243759/8
-1187 divided by -82305
1187/82305
Divide 40707 by -7772.
-40707/7772
What is 2233694 divided by 9346?
239
12 divided by -236605
-12/236605
2 divided by -23668342
-1/11834171
Calculate 10059147 divided by 63.
159669
Calculate 16904743 divided by -8.
-16904743/8
What is -41941404 divided by 98454?
-426
Divide -5142450 by 2571225.
-2
What is -251 divided by -69965?
251/69965
-2327650 divided by -130
17905
37879 divided by 148
37879/148
Calculate -1 divided by 108937081.
-1/108937081
Divide 160337532 by 6.
26722922
Calculate 43700 divided by -16118.
-21850/8059
Divide 11082752 by 316.
35072
224592 divided by -9358
-24
Calculate -55584 divided by 352.
-1737/11
What is -43452 divided by 571?
-43452/571
3004 divided by -5695
-3004/5695
Calculate 9336712 divided by 3542.
2636
What is 526726071 divided by -9?
-58525119
Divide 2178 by 92799.
242/10311
Divide -398371110 by -2.
199185555
-798 divided by -96841
798/96841
Calculate 9 divided by 540462.
3/180154
Calculate -90785696 divided by 1004.
-90424
Calculate -122732391 divided by 122732391.
-1
-80445 divided by -1514
80445/1514
-2486016 divided by 24
-103584
Divide 21505143 by -24747.
-869
Divide -31595876 by -2836.
11141
42493857 divided by -14164619
-3
Divide 1952771922 by 2.
976385961
8255688 divided by -196564
-42
Divide -717663 by -142.
717663/142
Calculate -589 divided by -1984.
19 | {
"pile_set_name": "DM Mathematics"
} |
-23*u**3 + 4*u**2 - 4*u**2)*(3*u - u + 0*u).
-49*u**4
Expand -3 + 2*v**2 + 3 + (-81 - 103 + 158*v + 185)*(1 + 2*v - 1).
318*v**2 + 2*v
Expand (5*q - q - 3*q)*((28 + 19 + 8)*(-22*q - 8*q - 42*q) - 4*q + q + 0*q).
-3963*q**2
Expand -2*w**3 + w**5 - w**3 + 4*w**3 - 15*w**4 + 15*w**4 - 3*w**5 + (-5*w**3 - 2*w**3 + 2*w**3)*(5*w**2 - 4*w**2 - 2*w**2).
3*w**5 + w**3
Expand (-4 - 3*x + 4)*(-4*x + 2*x - x) - 2*x**2 + 0*x**2 - x**2 + (x + 0*x + 13*x)*(x - x - x).
-8*x**2
Expand (7*c**2 + 2*c**2 + 8*c**2)*(-47*c - 31*c + 17*c) + c**2 + 2*c**3 - c**2.
-1035*c**3
Expand (3 + 0 - 2)*(-x**2 + 1439*x**4 - 1 + 1429*x**4 + 2*x**3 - 2887*x**4) + 0*x**2 + 3*x**4 + 0*x**2.
-16*x**4 + 2*x**3 - x**2 - 1
Expand 1187*d**3 + 55354*d**2 - 55354*d**2 + (d**3 - 4 + 4)*(2 + 2 - 6).
1185*d**3
Expand (-5*k**2 - 17*k + 17*k)*(-1752*k - 1893*k + 3971*k).
-1630*k**3
Expand (6386*q + 13286*q + 529 - 529)*(-2 + 2 + q**2).
19672*q**3
Expand 7551 + 52*n - 7551 + (-2 + 0 + 3)*(-5*n - n + 5*n) - n - 6*n + n.
45*n
Expand 3*s**4 - 7*s**4 + 2*s**4 + 0*s**4 + s**4 + 2*s**4 + (3 - 3 - 2)*(0*s**4 + s**4 - 2*s**4) + 3 + 35*s**2 - 35*s**2 + 3*s**4.
6*s**4 + 3
Expand (2*f**2 + 2*f - 2*f)*(-705 + 1208 + 1649 + 1623 + 481).
8512*f**2
Expand (-2*d - 2*d + 2*d)*(4 - 19 - 28)*(26 + 5 - 9).
1892*d
Expand (7025*b - 3*b**2 - 54038 - 54036 + 108076)*(-2*b**3 + 5*b**2 - 5*b**2).
6*b**5 - 14050*b**4 - 4*b**3
Expand (35*s + 905 - 905 - 4*s**3)*(-2*s + 2*s - 21*s).
84*s**4 - 735*s**2
Expand 26437 - 26437 + 44*f - f**2 - 3*f**3 + (f + 2*f - 5*f)*(-4*f + f**2 + 4*f).
-5*f**3 - f**2 + 44*f
Expand (o**2 + 3*o**2 - 6*o**2)*(-99 - 62 - 157).
636*o**2
Expand 0 + 2*m**3 + 0 + (-172*m + 274*m + 227*m)*(-16*m**2 + 10*m**2 - 13*m**2).
-6249*m**3
Expand (-40 + 26 + 20)*(3*r**4 - r**3 + r**3) - r - 26*r**2 - 8*r**4 + 0*r**4 + 28*r**2.
10*r**4 + 2*r**2 - r
Expand (-10 + 20 - 3)*(-7*y**2 - 37*y + 2*y**2 + 7*y**2)*(3*y - 2*y - 2*y).
-14*y**3 + 259*y**2
Expand -2*t**3 + 0*t**3 - 3*t**3 + (t - 15*t**2 - 16*t**2 + 22*t**2)*(-4*t - 4*t + 4*t)*(-3 - 4 + 3).
-149*t**3 + 16*t**2
Expand (0 + 0 - c)*(1 - 1 - c) + 187 - 20*c**2 - 187 - 393 + 393 + 85*c**2.
66*c**2
Expand (3*m**2 - 2*m**2 + 0*m**2)*(-5*m + m + 0*m)*(2545 + 138*m - 2545).
-552*m**4
Expand (-f**3 + 6*f**3 - 12*f**3)*(-2 + 2 + 2*f)*(-35 - 140 - 124 + 129).
2380*f**4
Expand -1580 + 3190 - 374*r**2 - 1603 + (2*r - r - 3*r)*(-r - r + 0*r).
-370*r**2 + 7
Expand -356*w + 631*w + 631*w + (-1 + 3 - 4)*(4*w + 3*w - 5*w) + 4*w - 2*w + 0*w - 2*w - 5*w + 4*w.
901*w
Expand (0*v + 0*v + v**3)*(-225 - 374*v - 8 + 235).
-374*v**4 + 2*v**3
Expand 2*p + 2*p - 3*p + (0 + 0 + 2*p)*(1 - 4 + 2) + 2*p + p - p + 206*p + 1147*p - 163*p.
1191*p
Expand (0*r**4 - r**4 - r**4 + (2*r + r - r)*(r**2 - r**2 - r**3) - r**4 - 3*r**4 + 3*r**4)*(0 + 12 - 4 + (-4 + 4 + 1)*(-4 + 3 + 0) - 19 - 37 + 15).
170*r**4
Expand (72774*y - 72389*y + 3 - 2)*(2*y**4 + 5*y**4 + y**4).
3080*y**5 + 8*y**4
Expand (2*x - 2*x + x)*(4*x + 277*x**2 - 272*x**2 + 0*x).
5*x**3 + 4*x**2
Expand (k**3 - 2*k**3 - 2*k**3)*(-72 + 39 + 19)*((-2 + 1 + 0)*(3 - 1 + 0) + 2 - 2 + 2 + 2 - 1 + 1) - 6 + 13 + 39*k**3 - 41*k**3.
82*k**3 + 7
Expand ((3 - 2 + 0)*(-2 - 2*o + 2) + 800*o - 1066*o - 2272*o)*(-2 + 2*o**2 + 2).
-5080*o**3
Expand (-149*h - 540*h - 104*h)*(5 - 5 - h).
793*h**2
Expand 1219*c + 78*c**4 - 1219*c + (-66 - 8*c + 66)*(4*c**2 + c**3 - 4*c**2).
70*c**4
Expand -10*z**2 - 54 + 1901*z + 53 - 1904*z + z**3 + (z**2 + 0*z**2 - 2*z**2)*(-59 + 3*z + 59).
-2*z**3 - 10*z**2 - 3*z - 1
Expand (2*i**3 + 2*i**3 - i**3)*(-429*i + 2696*i + 2771*i).
15114*i**4
Expand -3765*r - 3915*r + 7779*r + 3*r**5 - 117*r**2 + (-r**3 - 3*r**3 + 3*r**3)*(0*r - 2*r**2 + 0*r).
5*r**5 - 117*r**2 + 99*r
Expand (5*d**4 + 4*d**4 - 4*d**4)*(-16*d - 8*d + 10*d)*(10 + 0 - 3).
-490*d**5
Expand (98*x - 24*x - 48*x)*(-63 - 50 + 5).
-2808*x
Expand (0 + 1 - 2)*(4*q - 4*q + 3*q + (72 - 43 - 52)*(2*q + q + 0*q)).
66*q
Expand (-62 - 123 - 182)*(-2*u + 6*u - u)*(0 + 3 + 0).
-3303*u
Expand 5*w**3 - 2*w**2 + 2*w**2 + (2*w + w - 5*w)*(5*w**2 - 3*w**2 - w**2) - 53*w**3 - 62*w**3 + 119*w**3 + (-3*w + 0 + 0)*(-3 + 3 - 2*w**2).
13*w**3
Expand (-7*k**4 + 3*k**4 - 3*k**4)*(908*k - 6 + 864*k - 1707*k).
-455*k**5 + 42*k**4
Expand -2*z**4 - z**4 - 4*z**4 + (-z**4 + z**4 - 2*z**4)*(-89 + 57 + 84).
-111*z**4
Expand 28 - 24*t - 28 + (1 - 2 - 1)*(-2*t - t + 0*t) - t + 0 + 0 - 7 + 7 + 3*t + (2 - 2 - 2)*(3*t - 2*t + t).
-20*t
Expand (-21*l + 142 - 142)*(20 - 18 + 2*l + 16*l) + (1 + 0 + 1)*(l - l - 2*l**2).
-382*l**2 - 42*l
Expand (878*s + 1264*s + 271*s - 664*s)*(-3 + 4 + 1).
3498*s
Expand (4116*t**2 - 2253*t**2 - 2*t + 2 - 2122*t**2)*(18 - 18 - 7*t).
1813*t**3 + 14*t**2 - 14*t
Expand (3*n - 8*n + 3*n)*(23 - 34 - 55) + (-n + 0*n - 4*n)*(-3 - 7 + 15).
107*n
Expand ((2 + 1 - 1)*(52*c - 104*c + 19*c) + 21*c - 2*c + 14*c)*(c**4 + c**4 + c**4).
-99*c**5
Expand (0 + 0 + 1)*(-54*d - 149 + 149)*(166*d**2 - 64*d**2 - 2*d**2).
-5400*d**3
Expand (-2 - 6*t**2 + 2 + 0 - 2*t**2 + 0 + (3*t - t - 4*t)*(-2*t + 3*t + 0*t))*(0*t + 4*t + 8*t).
-120*t**3
Expand (120 - 120 + 19*r)*(-r**2 + 6*r**2 - 4*r**2) + 6*r**2 - r**3 - 6*r**2 + 3*r**2 - 3*r**2 - 2*r**3 - r**3 + 2*r**3 - 2*r**3 + (2*r - 3 + 3)*(3 - 3 - r**2).
13*r**3
Expand (3*d - 2*d + 2*d)*(2 - 2 + 2*d**4) - 56*d**5 - 36*d**5 + 2329 - 2339.
-86*d**5 - 10
Expand -343 + 222 - 2*x + 418 + (3*x + x + 0*x)*(-3 + 1 + 3) + x + 4*x - 4*x.
3*x + 297
Expand n**3 + 1 - 1 - 1 + 1 - n**3 + (3 + n**2 - 3)*(1 + 6*n - 1) + 15*n**3 - 12*n**3 + 19*n**3.
28*n**3
Expand (x**4 + 1 - 1)*(91 - 47 + 1) - x**4 + 0*x**4 + 2*x**4 - 2*x**4 + 24 - 24 - 1 + 1 + x**4 + (2*x**4 + 4*x**2 - 4*x**2)*(5 - 2 - 2).
47*x**4
Expand (3 + 1 - 6)*(0 + 19 + 1)*(6*w**3 + 5*w**3 - 5*w**3)*(0 - 7 - 5).
2880*w**3
Expand (240*z + 153*z - 537*z)*(0 + 3 - 1)*(1 - 3 + 0).
576*z
Expand (-13 - 77 + 18)*(5 + 0 - 4)*(-1 - 2 + 0)*(3 + 2 + 1)*(0*o + 0*o + o**4).
1296*o**4
Expand (1060578*s - 1060578*s + 1409*s**2)*(-s + 4 - s + s).
-1409*s**3 + 5636*s**2
Expand -3*n - 2*n + 6*n - 2 + 2 - n + (-2*n - n + 2*n)*(3 - 5 + 0) + 0*n + 5*n - 4*n + 11*n + 9*n + 16*n + (-3 + 5 - 1)*(2*n - 3*n + 2*n) + 2*n + 5*n - 5*n.
42*n
Expand (41753 - 41753 + 45*m)*(-m**2 + 3 - 3)*(-1 + 4 - 2) + 2*m**3 - 2*m**3 - m**3.
-46*m**3
Expand -10*x**4 + 5*x**4 + 2*x**4 + (-37*x + 8*x**3 + 37*x)*(x - 2*x + 2*x).
5*x**4
Expand (a + a - 3*a)*(5 - 2 + 2)*(-243*a - 320*a + 87*a).
2380*a**2
Expand (5*p - 2*p + 14*p)*(4*p - 5*p + 3*p)*(-1 + 12 - 3) - 4*p**2 + 3*p**2 + 2*p**2 + (0 + 0 - p)*(p + 0*p + p) + (-2*p + 0*p + p)*(-4*p - p + 0*p).
276*p**2
Expand ((4*c + 2*c - 4*c)*(4 + 1 - 4) - 2*c + 3*c + c)*(256 - 61*c - 512 + 255).
-244*c**2 - 4*c
Expand (3*o + 12 - 12)*(7*o**2 - 7*o**2 + 2*o**3)*(-49*o + 4*o + 7*o).
-228*o**5
Expand (15 + 2*z**3 - 17 + 29)*(-3*z**2 + 5*z**2 - 3*z**2) + 1133*z**2 - 16*z**5 - 226*z**5 - 1133*z**2.
-244*z**5 - 27*z**2
Expand (-2*u**3 - 3*u**3 + 3*u**3)*(2*u**2 - 4*u**2 + u**2) + (-3*u + 3*u + u**3)*(24*u**2 + 30*u**2 - 21*u**2) + 0*u**5 - 2*u**5 - u**5.
32*u**5
Expand (3 - 3 - 9)*(-1 + 24 - 12)*(2*r + 0*r - 3*r).
99*r
Expand 2*d**2 - d + d - 448 + 27*d**2 + 448 + (2*d - 3*d + 0*d)*(-3*d - 6*d + 0*d) + 0*d**2 - 2*d**2 + 5*d**2.
41*d**2
Expand (-107 + 107 + 78*d**2)*(-23*d**3 - 5*d**3 + 7*d**3).
-1638*d**5
Expand (33*n + 76*n - 16*n)*(-5*n**3 + n**3 + 3*n**3) - 4*n**4 + 8*n**4 + n**4.
-88*n**4
Expand -2*i**2 + 4*i**2 + 0*i**2 + 3*i**2 - 4*i + 4*i + (-5*i + 3*i + 4*i)*(42*i - 47*i + 58*i) + (3*i - 3*i - 2*i)*(-i + i + i) + 0*i**2 + 0*i**2 - 2*i**2.
107*i**2
Expand (-100 - 2*n + 102 + 4*n)*(4 - 1 + 2) + 3*n - 4*n + 2*n.
11*n + 10
Expand 27*f - 633 + 633 + (-f - f + 5*f)*(-1 + 0 + 4) - 2*f + 3*f - 2*f.
35*f
Expand 10 - 15*f - 10 + (-34 + f + 34 + 0*f - f + 2*f + (0*f - 3*f + f)*(-2 - 1 + 5) + 2*f - 5*f + 0*f)*(-3 + 0 + 4)*(-4 + 5 - 2).
-10*f
Expand (-2712 + 1389 - 87*s**2 - 10*s - 32*s**2 + 1322)*(5*s - 2 + 2).
-595*s**3 - 50*s**2 - 5*s
Expand (-3*w - w + 5*w)*(-3*w + 2*w + 3*w) + 4*w - w**2 - 4*w - 13*w**2 - 30*w**2 + 9*w**2 + 2*w**2 - 71 + 71 + 32*w + (5*w - 4*w - 3*w)*(3 + 2*w - 3).
-35*w**2 + 32*w
Expand (2*d**2 - 4*d**2 + 3*d**2)*(240 - 187 + 940*d - 947*d).
-7*d**3 + 53*d**2
Expand g - g - 21*g**3 + (2*g - 2*g + 3*g**2)*(22 + 5*g - 22)*(4 + 2 - 5).
-6*g**3
Expand 189*x**2 - 230*x**2 - 449*x**2 + (-3*x + x + 4*x)*(4 - 4 - | {
"pile_set_name": "DM Mathematics"
} |
5. Give -n(o) + 4*t(o).
2*o + 1
Let z(p) = 10*p. Let n(q) = -17*q - 11. Let g(t) = 3*t + 2. Let x(y) = 11*g(y) + 2*n(y). Give -5*x(c) - z(c).
-5*c
Let o(r) = -3 + 1 + 1 + 2. Let g(j) be the third derivative of j**4/24 + j**3/6 + j**2. Calculate 4*g(n) - 4*o(n).
4*n
Let t(q) = -6*q**2 + 2*q + 7. Let j(u) = -7*u**2 + 2*u + 8. Let c = -19 + 23. Suppose -c*o + 3*m = 16, o + 3*m = -3*o - 16. What is o*j(f) + 5*t(f)?
-2*f**2 + 2*f + 3
Let u(i) be the second derivative of -4*i + 1/2*i**3 + 0 - 3/2*i**2. Let v(n) = -n + 1. Determine 2*u(m) + 7*v(m).
-m + 1
Let m(o) = -26*o**2 + 30*o + 5. Let k(d) = -d**2 + 6*d + 1. Determine 5*k(b) - m(b).
21*b**2
Let m(f) = 7*f**2 + 12*f + 4. Let n(y) = -3*y**2 - 7*y - 2. Calculate -3*m(d) - 5*n(d).
-6*d**2 - d - 2
Let h(c) = -2*c + 5. Let q(k) = -6*k + 99 - 33 - 52. Determine -17*h(j) + 6*q(j).
-2*j - 1
Let z(j) = 23*j**2 + 4*j - 5. Let m(g) = -138*g**2 - 23*g + 28. What is -6*m(t) - 34*z(t)?
46*t**2 + 2*t + 2
Let k(z) = 4*z**2 - 1087*z - 14. Let g(n) = 2*n**2 - 543*n - 6. Give -5*g(s) + 2*k(s).
-2*s**2 + 541*s + 2
Let b(w) = 3*w**2 + 4*w - 2. Let u = 2 - -5. Let j(y) = -2*y + 9*y**2 - 11*y + 13*y**2 + 6 - 32*y**2. Calculate u*b(l) + 2*j(l).
l**2 + 2*l - 2
Let o(s) = 4*s**2 - 2*s. Suppose 0*l + 25*l - 50 = 0. Let i(p) = -p**2 + p. What is l*o(x) + 4*i(x)?
4*x**2
Suppose 0 = 5*l - 13*l + 72. Let h = -4 - -7. Suppose -5*a - h*i - i = l, 0 = i + 1. Let u(r) = -r. Let o(z) = 2*z - 1. What is a*o(p) - 3*u(p)?
p + 1
Let q(m) = -3*m**2 + m + 20. Let c(v) = -5*v**2 + v + 39. Calculate 4*c(p) - 7*q(p).
p**2 - 3*p + 16
Let l(w) = 4*w + 3. Let f(a) = 5. Calculate 2*f(c) - 3*l(c).
-12*c + 1
Let h(n) = 2*n**2 + 23*n - 17. Let r be h(-12). Let b(c) = -4*c**3 + 5*c**2 - 2*c + 6. Let o(l) = -3*l**3 + 4*l**2 - l + 5. What is r*b(s) + 6*o(s)?
2*s**3 - s**2 + 4*s
Let g(z) = -z + 3. Suppose 44 = 2*n - 0*n. Suppose 0 = -w - w - n. Let q(p) = 1. Calculate w*q(o) + 4*g(o).
-4*o + 1
Let y(x) = -196*x**2 + 42*x. Let k(q) = -751056 + 751056 + 5*q - 23*q**2. Calculate 42*k(w) - 5*y(w).
14*w**2
Let c(q) = -3*q. Let s be c(5). Let b(t) = -t. Let n(a) = -a**2 + 2*a + 2. Let g be n(-1). Let p(u) = 3*u**2 + 15*u. What is g*p(l) + s*b(l)?
-3*l**2
Let b(p) = -5*p**2 + 23. Let a(i) = -4*i**2 + 19. What is 3*a(l) - 2*b(l)?
-2*l**2 + 11
Let s = 23 - 26. Let r(q) = 4*q**2 + q + 1. Let n(l) = -l**2 + l - 1. What is s*n(i) - r(i)?
-i**2 - 4*i + 2
Suppose 4*v - 138 = -106. Let z(g) = -4*g**2 - 2*g - 3. Let n(i) = -11*i**2 - 5*i - 9. Determine v*z(f) - 3*n(f).
f**2 - f + 3
Let n(z) = 27*z - 161. Let h be n(6). Suppose -12 = 4*s - 0. Let o(k) = k**3 - 3*k + 5. Let f(v) = -v + 1. What is h*o(l) + s*f(l)?
l**3 + 2
Let w(n) = -9*n + 8. Suppose -2*a = -4, -2*z - 2*a = -6*a. Let x(k) = 3*k - 3. Let s(t) = 5*t + 1. Let i be s(2). What is i*x(m) + z*w(m)?
-3*m - 1
Let r(b) = 25*b - 39*b**2 - 2*b + 45*b**2. Let x(q) = 4*q**2 + 15*q. Calculate 5*r(h) - 7*x(h).
2*h**2 + 10*h
Let m(s) be the second derivative of -s**3 + 32*s + 1. Let z(g) = -g. Determine -2*m(i) + 11*z(i).
i
Let n(p) = 1. Let r(i) be the third derivative of -1/12*i**4 + 0 + 0*i + 0*i**3 + 33*i**2. Determine 2*n(c) + r(c).
-2*c + 2
Let p(c) = 8*c. Let b(r) = 61*r + 50*r + 34*r. Determine -6*b(a) + 110*p(a).
10*a
Let j(f) = -10*f + 36. Let s(z) = -7*z + 2. Give j(b) - 5*s(b).
25*b + 26
Let p(v) = -3*v**2 + 9. Suppose -2*t - 1 + 5 = 0. Let x be (-110)/(-12) + t/(-12). Let i be 153/30 + -4 - (-1)/(-10). Let a(z) = -1. Calculate i*p(m) + x*a(m).
-3*m**2
Let j(t) = t - 4. Let w(x) = x - 9. Let v(p) = -2*j(p) + w(p). Let m(k) = -6*k - 2. Give m(h) - 5*v(h).
-h + 3
Let k(j) = j**3 + 3*j**2 + 2*j - 2. Let t(a) = a**3 + a**2 - a + 3. Let w(d) = -5*d**3 - 5*d**2 - 6. Let r(c) = -3*t(c) - w(c). Calculate 3*k(y) - 2*r(y).
-y**3 + 5*y**2
Let x(j) = -j**2 + 2*j + 3. Let w(d) be the first derivative of -d**3/3 + 3*d**2/2 + 3*d - 75. Determine -2*w(i) + 3*x(i).
-i**2 + 3
Let r(w) = 81*w**2 - 16*w. Let h(f) = -16*f**2 + 3*f. Suppose 0 = -19*x + 13*x + 12. Give x*r(u) + 11*h(u).
-14*u**2 + u
Suppose 5*g = 7 - 2. Let h(x) = -6*x - 2. Suppose 20 = -5*m + 2*r, m = 6*m + 2*r. Let p(w) = -w - 1. Give g*h(n) + m*p(n).
-4*n
Let i(s) = 18*s + 129. Let f(g) = 7*g + 65. What is -5*f(d) + 2*i(d)?
d - 67
Let w(j) be the first derivative of -j**4/4 - j**3/3 - j**2/2 - j - 192. Let y(c) = -18*c**3 - 5*c**2 - 5*c - 5. What is -5*w(l) + y(l)?
-13*l**3
Let w(p) = 4*p**2 - 2*p + 107. Let h(f) = -8*f**2 + 5*f - 213. Determine 2*h(k) + 5*w(k).
4*k**2 + 109
Let z be -4*(-1)/4 + 1. Let t(d) = 6*d - d**z - 2*d - 5*d. Let p(g) = -2*g**2 - 3*g + 2. Calculate p(o) - 3*t(o).
o**2 + 2
Let v(q) = -24*q**2 + 6 - 2*q**3 - 3*q**3 + 2*q**3 + 7*q + 19*q**2. Let a be (-1)/(-1) + 60/20. Let k(i) = 2*i**3 + 4*i**2 - 6*i - 5. What is a*v(x) + 5*k(x)?
-2*x**3 - 2*x - 1
Let m(r) = -5*r**3 - 6*r + 158. Let u(f) = -4*f**3 - 5*f + 157. Calculate 5*m(a) - 6*u(a).
-a**3 - 152
Let b(l) = l - 1. Let r = -4 - -3. Let v(k) = -5*k - 8. Let x(z) = r*v(z) + 2*b(z). Let u(y) = -15*y - 13. Let d = -21 - -34. What is d*x(w) + 6*u(w)?
w
Let a(h) = 27*h + 12. Let g(m) = 2*m + 1. What is 2*a(f) - 18*g(f)?
18*f + 6
Let l(z) = z + 1. Let r(m) = 7*m**3 - 4*m**2 - 6*m - 6. What is -4*l(d) - r(d)?
-7*d**3 + 4*d**2 + 2*d + 2
Let f(t) = -149*t + 7. Let n(z) = -z + 1. What is -f(m) + 6*n(m)?
143*m - 1
Let l(s) be the third derivative of -s**4/12 - s**3/2 + 37*s**2. Let h(w) = -w. Determine 4*h(o) - l(o).
-2*o + 3
Let c(u) = -u. Let h(x) = -x**2 - 5*x - 53. What is -4*c(d) + h(d)?
-d**2 - d - 53
Let z(a) = a. Let b = -114 + 115. Let k(o) = 12*o. What is b*k(g) - 18*z(g)?
-6*g
Let d(k) be the first derivative of -1/2*k**2 - 1/3*k**3 + 1 + 5*k. Let z(x) = -5 + 1 - 2*x + 3 + 3*x. Give -d(m) - 3*z(m).
m**2 - 2*m - 2
Let k(d) = -d**2. Let f(u) = 7*u**3 + 3*u**2. Let x(b) = f(b) - 2*k(b). Let j(y) = 3*y**3 + 2*y**2. Give -5*j(n) + 2*x(n).
-n**3
Let k(y) = 3*y**2 - 3*y**2 + y + y**2 - 4*y. Let s(b) be the second derivative of -b**4/4 + 5*b**3/3 + 47*b. Give -14*k(m) - 4*s(m).
-2*m**2 + 2*m
Let m(d) = -d**2 - 2*d. Let q(c) = -c. Let f be 3 + (2 - (0 + 4)) - 2. Calculate f*m(r) - q(r).
r**2 + 3*r
Let n(m) = 81*m**3 + m**2 + 10*m + 5. Let p(h) = -2*h - 1. Calculate -n(z) - 5*p(z).
-81*z**3 - z**2
Let a(k) = -4*k**3 - k**2 + 4*k - 3. Let h(r) be the first derivative of 3*r**4/4 + r**3/3 - 3*r**2/2 + 2*r - 218. Determine 2*a(c) + 3*h(c).
c**3 + c**2 - c
Let g(u) = 4*u + 1. Let h(l) = -5*l - 2. Let x(m) = 14*m - 171. Let y be x(12). Let f = 3 + -5. What is f*h(t) + y*g(t)?
-2*t + 1
Let m(s) = 5*s**2 - 6*s + 6. Let h(o) = -o + 4. Let w = 102 + -100. Let q(b) = b - 3. Let a(x) = w*h(x) + 3*q(x). What is -6*a(k) - m(k)?
-5*k**2
Let j(z) = -192*z**3 + 2*z**2 + 2*z + 2. Let d(v) = -v**3 - v**2 - v - 1. Give -2*d(c) - j(c).
194*c**3
Let z(v) = -3*v**2 + 5*v - 3. Let s(r) = -2*r**2 + 4*r - 3. Let x(f) = -f**3 - 13*f**2 + 27*f - 50. Let m be x(-15). Calculate m*s(h) + 4*z(h).
-2*h**2 + 3
Let i(b) = 5*b**3 + 4*b**2 + 4*b + 4. Let n(k) = -k**2 - k - 1. Suppose -4*g + 3*p + 52 = 65, 3*p + 3 = 0. What is g*n(a) - i(a)?
-5*a**3
Let p(h) = -3*h**2 + 128*h + 4. Let x(o) = -4*o**2 + 127*o + 5. Give 5*p(y) - 4*x(y).
y**2 + 132*y
Let g(b) = -b**2 - b. Let x be (1 + -3)/(6/(-75)). Suppose 12 + 28 = -4*w. Let m be (40/x)/((-4)/w). Let u(y) = 6*y**2 + 4*y. Determine m*g(q) + u(q).
2*q**2
Let f = -660 + 661. Let c(v) = v**3 - v - 1. Let r(y) = 4*y**3 - y + 1. What is f*c(m) + r(m)?
5*m**3 - 2*m
Let g(v) = 5*v**3 + 2*v**2 + 5*v + 3. Let f(q) = q**3 + q. Calculate -3*f(k) + g(k).
2*k**3 + 2*k**2 + 2*k + 3
Let v(o) = 19*o**2 + 2*o - 1. Let p(n) = 19*n**2 + n. Determine 4*p(d) - 3*v(d).
19*d**2 - 2*d + 3
Let k(n) = 7*n**3 - 3*n**2 + 7*n + 7. Let t(u) = -3*u**3 + u**2 - 3*u - 3. What is 2*k(y) + 5*t(y)?
-y**3 - y**2 - y - 1
Let o(b) = -6*b**2 - 10*b. Let x = -596 + 595. Let l be (25/(-15))/(2/(-12)). Let m(k) = -k**2 - k. What is l*m(d) + x*o(d)?
-4*d**2
Let h(i) = -17*i**2 - 9*i - 12. Let r(g) = 9*g**2 + 4*g + 6. Calculate -6*h(s) - 13*r(s).
-15*s**2 + 2*s - 6
Let u(w) = 3*w**2 - 1. Let q(a) = 880*a**2 - 66. Calculate -q(x) + 66*u(x).
-682*x**2
Let s(d) = -56*d - 1. Let o(k) = 58*k + 2. Calculate 3*o(h) + 4*s(h).
-50*h + 2
Let a(s) = 4*s**3 + s**2. Let g(t) = t**2 - 6*t + 8 + 0*t**2 + 1. Let u be g(6). Let i(p) = 8*p** | {
"pile_set_name": "DM Mathematics"
} |
= 20.4 - 18. Let q = -0.4 + l. What is the third smallest value in u, q, 0.3?
q
Let v = 8 + -11. Let y(w) = -w**3 + 8*w**2 - 2*w. Let r be y(6). Let x be ((-3)/2)/(r/(-32)). Which is the smallest value? (a) 3 (b) v (c) x
b
Let u = -17 - -12.9. Let g = 4 + u. Let v = -0.3 + 0.8. Which is the third biggest value? (a) v (b) -4 (c) g
b
Let z = 0.16 + -2.16. Let j be (-2)/4 - (-15)/54. What is the second biggest value in 2/3, z, j?
j
Suppose -3*m - m - 4 = -z, z - 3*m - 2 = 0. What is the third smallest value in z, 5, -3?
5
Let u = -5.5 + -1.9. Let d = u + 7. Which is the smallest value? (a) 1/4 (b) -0.5 (c) d
b
Let o(i) = i + 352. Let n be o(0). Let q be n/(-70) - (2 - 5). Let u = q - -10/7. Which is the biggest value? (a) 1/2 (b) u (c) 1
c
Let w = -2.1 + 6.1. What is the second biggest value in 1/4, w, 3/32?
1/4
Let j = -15.8 - -16. Which is the third biggest value? (a) 0.1 (b) 2/3 (c) j
a
Let t = 0.7 - 0.2. Let p = -0.05 + 5.05. Let c be (-6)/9*3/17. What is the smallest value in t, c, p?
c
Let n = 0 - 4. Suppose 2*w = 6*w - 12. What is the third biggest value in w, -0.5, n?
n
Let p = 1.7 - 2.4. Let u = p - 0.3. Let z = u + 0.5. Which is the third smallest value? (a) z (b) 0 (c) -3
b
Let f = 21 - 20. Which is the second biggest value? (a) f (b) -18 (c) 3
a
Let x be ((-1023)/(-4598))/(2/(-4)). Let t = 5/19 + x. Which is the biggest value? (a) t (b) -0.1 (c) 0.07
c
Let n = -440 - -1321/3. Suppose -o = -0*o + 1. Let d be o*(-1 - (-1)/(-1)). What is the third smallest value in d, n, -2?
d
Let w(u) = u**3 - 6*u**2 + 4*u - 1. Let f be w(5). Let h be -2 - (-2 + f/(-4)). What is the smallest value in 0, h, 4?
h
Suppose -p + 29 = 2*v, -3*v + 0*v - p = -41. Let s be (v/(-40))/(6/8). Let q = -4.5 + 5. What is the third biggest value in q, s, 4?
s
Let l be ((-1)/(-3))/(2/24). What is the second biggest value in -0.4, l, 1?
1
Let d(h) = h**2 - 2*h + 3. Let w be d(2). Let q be (54/(-16) + w)*2. Which is the third biggest value? (a) -5 (b) 0.4 (c) q
a
Let n(p) = 19*p + 76. Let w be n(-4). What is the fourth smallest value in -1/5, -0.1, -1/2, w?
w
Let w = -15 + 12. What is the smallest value in 0.2, w, -1/2?
w
Let v = -0.56 + 0.6. Let l = -2.04 + v. Let i = 0 + -1. What is the third biggest value in i, l, 0?
l
Let g be 0 + -1 + (-1956)/14. Let t = 141 + g. Which is the second biggest value? (a) t (b) -4 (c) -1
c
Let o = -40 + 278/7. Let b = -0.05 + 0.12. What is the third smallest value in 0.5, b, o?
0.5
Let y = -22 - -15. Let a = 4 + y. What is the biggest value in -0.2, a, -2?
-0.2
Let t = 0.04 - -0.76. Let g = -0.7 + t. Let i be (4/6)/(44/(-12)). What is the second biggest value in g, i, -0.3?
i
Let d(w) = -4*w**2 - w. Let g be 0/(-2) + -2 + 1. Let t be d(g). Which is the third biggest value? (a) 0 (b) -1 (c) t
c
Let n be (15/60)/(10/(-8)). Which is the biggest value? (a) n (b) -9 (c) 0
c
Let j = 7 + -11. Let k = -0.085 + -1.915. What is the biggest value in 4, j, k?
4
Let j(r) = -2*r - 6. Let z be j(-5). Which is the fourth smallest value? (a) 2 (b) 0.1 (c) z (d) -0.2
c
Let d be (0 + 3/(-6))*-50. Suppose -2*o + d = 3*o. Suppose o*r = 4*r + 1. What is the smallest value in 4, r, -3/4?
-3/4
Let a = -4 - -9. Let p = -5.1 + a. Let f = 12 + -7. What is the smallest value in 4, f, p?
p
Suppose 3*o - 280 = 176. Let b be 8/(-6)*12/o. What is the smallest value in -1, 0, b?
-1
Let p = -151 + 2266/15. What is the second biggest value in 1, 1/11, p?
1/11
Let o(h) = 3*h - 43. Let z be o(12). Let r = 7 + -4. What is the smallest value in r, 0.3, z?
z
Let p = -102 - -81. Which is the smallest value? (a) p (b) -5 (c) -0.2 (d) -1
a
Suppose 5*x - x = 3*m - 14, 25 = -5*m - 3*x. Let f(z) = -z**2 - 6*z + 6. Let r be f(-7). Which is the biggest value? (a) m (b) r (c) 3/4
c
Let d = 35.1 + -35. Which is the third smallest value? (a) 1 (b) d (c) -2
a
Let d = 301 + -306.96. Let g = 22 + -22.04. Let v = g + d. Which is the biggest value? (a) -0.1 (b) v (c) 0.1
c
Let l = -58 - -58.1. What is the second biggest value in l, -3, -0.5?
-0.5
Let z be (-5)/(-40)*1*-4. Which is the second biggest value? (a) -1/6 (b) -0.03 (c) z
a
Let k = 123 + -122.5. Which is the biggest value? (a) 2/23 (b) -4 (c) k (d) 5
d
Let o be 13/5 + (-3)/5. Suppose m - 2*z = -13, 5*m + 0*z + 33 = o*z. What is the second biggest value in 2, m, 0?
0
Let d(s) = s**2 - 4*s - 2. Let v be d(3). Let x = 14.8 - 15. Let t = -24 + 47/2. Which is the third smallest value? (a) t (b) v (c) x
c
Let g = 8.4 - 8. Let n = 80 - 157/2. What is the smallest value in -0.4, n, g?
-0.4
Let m = -8 - -7. Which is the smallest value? (a) m (b) 0.2 (c) 1/4
a
Suppose 0 = 3*y + 134 + 31. Let j = 163/3 + y. Let n be (6/195)/((-1)/5). Which is the second biggest value? (a) j (b) n (c) 4
b
Let v = 5.5 - 5.2. What is the third biggest value in v, -2, -0.2?
-2
Let l = 56.5 + -56. Which is the second smallest value? (a) 1 (b) l (c) -4 (d) 2/5
d
Let r = 37.6 + -38. What is the second biggest value in 0.3, r, 2?
0.3
Let w = 17/91 + 5/13. Let g(t) be the first derivative of -t**2 - 1. Let q be g(2). Which is the second smallest value? (a) 0.5 (b) w (c) q
a
Let i = 22.958 - -0.042. Let r = i - 32. Which is the third biggest value? (a) 0.5 (b) 4 (c) r
c
Let g be 10/(-4)*((-24)/510)/1. Which is the third smallest value? (a) g (b) -1/4 (c) -2 (d) -3/7
b
Let o = -7.92 + 8. Let i = 0.42 + o. What is the third smallest value in 2/5, 2, i?
2
Let o = -0.28 + -0.12. Which is the biggest value? (a) 0.4 (b) o (c) -4
a
Let r be (1*4/(-4))/(-7 + 4). Which is the third smallest value? (a) 0.3 (b) 0 (c) r
c
Let w be 2/(-5)*(-1)/(-2). Let o = -17.2 - -17.4. Which is the second smallest value? (a) w (b) o (c) -0.6
a
Let n = -1.9 - -1.5. Suppose 2*j = -2*a - 12, 0 = 5*a + j - 0*j + 10. What is the third smallest value in 1/5, n, a?
1/5
Let d(b) = -b + 1. Let m be (-14)/(-49) + (-19)/(-7). Let s be d(m). What is the biggest value in 0.02, s, -0.1?
0.02
Let s = -51/4 + 13. Which is the second biggest value? (a) 2 (b) s (c) -3
b
Let b be 3/(-2)*8/6. Let x be ((-3)/(-15))/(b + 3). Let y be ((-2)/2)/(14/(-4)). What is the second smallest value in y, 1/3, x?
y
Let d = -2 - 0. Which is the second biggest value? (a) 1 (b) 0.6 (c) d
b
Let t = 36 + -32. Let l = -2 + 2.2. Let p = 0.3 + l. What is the second biggest value in 0, p, t?
p
Let r = 80/3 - 566/21. Let l = -3.2 + 3. Which is the second smallest value? (a) r (b) l (c) 1/3
b
Let s = -202 - -185.4. Let p = s - -17. Which is the second smallest value? (a) 1 (b) 2/17 (c) p
c
Let p = 1.95 + -2. Let d = p + 3.05. Let k be 30/24*(-1 + -1). Which is the biggest value? (a) k (b) 0.3 (c) d
c
Let h = 0 + -5. Let o = -0.279 - 0.021. Let i be -1 + ((-30)/17)/(-2). Which is the third smallest value? (a) h (b) o (c) i
c
Let t be -1 + 1/(12/15). Let i = -0.8 + 0.3. What is the third biggest value in t, i, 2/5?
i
Let l = -6 + 11. Suppose -6 = 2*p - t, 0*p - 3*t + 2 = -2*p. What is the third smallest value in 2/7, p, l?
l
Let o = -77 - -73. What is the fourth smallest value in -3, o, 2, 0.4?
2
Let x be (1 - 0)*31/(-1). Let b = 4 + x. Let c be (-6)/b*3 - 0. What is the second smallest value in c, -1, -3?
-1
Let k = -32.8 + 33. Which is the third biggest value? (a) 5 (b) 2/13 (c) k
b
Let z = -9 + 3. Let m be (z + 1)/(0 + -3). What is the smallest value in -5, m, 4?
-5
Let r be 3/6 + (-1)/(-1)*1. What is the fourth smallest value in 1/2, 4, r, -5?
4
Let r = 47 - 47. Which is the biggest value? (a) 2 (b) r (c) 4 (d) 5/2
c
Suppose -5*n + 0 = m + 8, -2*m + 4*n = 58. Let d = -24 - m. Which is the smallest value? (a) 4/9 (b) d (c) -5
c
Let t = 131/3 + -44. Which is the fourth biggest value? (a) -0.1 (b) t (c) 1 (d) -2/5
d
Suppose -87*m + 9 = -84*m. Which is the second biggest value? (a) -5 (b) -4 (c) m
b
Let w = 23 + -18. Suppose 3*d - 10 = w, 2*d - 14 = l. What is the second biggest value in 0.5, l, 1/5?
1/5
Let p = -9/44 - 1/22. Which is the third biggest value? (a) 5/2 (b) -5 (c) p
b
Let r be 6/7*(-15)/30. Which is the biggest value? (a) 4 (b) 5 (c) r
b
Let d = -21 + 19. Let t be -4513*(-1 + 24/26). Let f = t - 347. What is the smallest value in -0.5, f, d?
d
Let d(t) = -t**2 + t + 2. Let f be d(-4). Let u be ( | {
"pile_set_name": "DM Mathematics"
} |
0 AM
What is 318 minutes after 7:43 AM?
1:01 PM
How many minutes are there between 12:36 AM and 11:23 AM?
647
What is 197 minutes before 8:09 PM?
4:52 PM
What is 149 minutes after 5:54 AM?
8:23 AM
How many minutes are there between 7:08 AM and 6:10 PM?
662
What is 401 minutes after 7:28 PM?
2:09 AM
How many minutes are there between 4:31 PM and 2:13 AM?
582
How many minutes are there between 12:20 AM and 10:43 AM?
623
What is 54 minutes after 11:39 AM?
12:33 PM
What is 401 minutes after 8:53 PM?
3:34 AM
How many minutes are there between 12:52 AM and 12:22 PM?
690
What is 76 minutes after 8:32 PM?
9:48 PM
What is 669 minutes after 12:48 PM?
11:57 PM
What is 644 minutes before 12:30 PM?
1:46 AM
How many minutes are there between 11:08 PM and 6:31 AM?
443
What is 587 minutes before 11:58 AM?
2:11 AM
How many minutes are there between 8:26 AM and 9:01 AM?
35
How many minutes are there between 6:11 AM and 8:46 AM?
155
How many minutes are there between 4:15 PM and 9:59 PM?
344
What is 11 minutes before 11:48 AM?
11:37 AM
What is 681 minutes before 11:27 PM?
12:06 PM
How many minutes are there between 1:43 AM and 6:34 AM?
291
What is 315 minutes after 1:14 PM?
6:29 PM
What is 300 minutes before 11:31 PM?
6:31 PM
What is 421 minutes before 8:04 AM?
1:03 AM
What is 706 minutes before 3:02 AM?
3:16 PM
How many minutes are there between 1:36 PM and 10:04 PM?
508
What is 317 minutes after 9:09 AM?
2:26 PM
How many minutes are there between 3:43 AM and 8:20 AM?
277
What is 623 minutes after 2:20 PM?
12:43 AM
What is 585 minutes before 10:11 PM?
12:26 PM
How many minutes are there between 3:45 PM and 2:31 AM?
646
How many minutes are there between 9:14 AM and 7:03 PM?
589
How many minutes are there between 12:08 AM and 1:38 AM?
90
How many minutes are there between 10:53 AM and 6:47 PM?
474
How many minutes are there between 7:27 PM and 5:58 AM?
631
How many minutes are there between 1:07 PM and 11:06 PM?
599
How many minutes are there between 8:05 AM and 3:51 PM?
466
How many minutes are there between 11:09 AM and 12:20 PM?
71
What is 661 minutes after 1:19 AM?
12:20 PM
What is 92 minutes after 9:10 PM?
10:42 PM
What is 661 minutes before 7:03 PM?
8:02 AM
What is 254 minutes after 12:06 PM?
4:20 PM
How many minutes are there between 5:01 AM and 4:05 PM?
664
What is 10 minutes after 2:07 AM?
2:17 AM
How many minutes are there between 5:29 PM and 3:56 AM?
627
How many minutes are there between 3:14 PM and 12:42 AM?
568
What is 459 minutes before 5:45 PM?
10:06 AM
How many minutes are there between 1:45 AM and 1:30 PM?
705
How many minutes are there between 9:25 PM and 1:20 AM?
235
How many minutes are there between 3:38 AM and 2:25 PM?
647
How many minutes are there between 12:37 AM and 5:01 AM?
264
How many minutes are there between 2:24 AM and 7:01 AM?
277
What is 305 minutes after 3:17 PM?
8:22 PM
What is 185 minutes after 8:31 PM?
11:36 PM
How many minutes are there between 5:37 PM and 8:28 PM?
171
How many minutes are there between 2:10 AM and 2:21 AM?
11
How many minutes are there between 6:02 PM and 3:18 AM?
556
How many minutes are there between 4:55 PM and 10:10 PM?
315
What is 404 minutes before 11:38 AM?
4:54 AM
How many minutes are there between 1:10 PM and 6:13 PM?
303
What is 524 minutes before 12:14 PM?
3:30 AM
How many minutes are there between 8:54 PM and 12:00 AM?
186
How many minutes are there between 12:16 AM and 11:17 AM?
661
How many minutes are there between 8:51 AM and 10:28 AM?
97
What is 303 minutes after 6:06 AM?
11:09 AM
What is 524 minutes before 4:35 PM?
7:51 AM
How many minutes are there between 6:55 PM and 2:43 AM?
468
What is 697 minutes after 8:23 PM?
8:00 AM
How many minutes are there between 11:27 PM and 8:04 AM?
517
How many minutes are there between 12:56 PM and 12:14 AM?
678
How many minutes are there between 2:36 AM and 2:48 AM?
12
What is 167 minutes after 7:37 AM?
10:24 AM
How many minutes are there between 1:57 AM and 10:05 AM?
488
What is 244 minutes before 5:14 AM?
1:10 AM
How many minutes are there between 4:34 PM and 11:33 PM?
419
How many minutes are there between 1:31 PM and 11:49 PM?
618
How many minutes are there between 8:51 AM and 2:19 PM?
328
How many minutes are there between 8:17 PM and 3:25 AM?
428
What is 289 minutes before 1:35 AM?
8:46 PM
How many minutes are there between 5:10 AM and 3:15 PM?
605
What is 56 minutes after 11:53 PM?
12:49 AM
How many minutes are there between 6:06 PM and 11:47 PM?
341
How many minutes are there between 5:07 PM and 12:40 AM?
453
What is 457 minutes before 1:52 PM?
6:15 AM
What is 639 minutes after 7:36 AM?
6:15 PM
What is 502 minutes before 1:59 AM?
5:37 PM
How many minutes are there between 5:27 AM and 11:20 AM?
353
How many minutes are there between 8:10 PM and 1:32 AM?
322
How many minutes are there between 2:00 PM and 12:23 AM?
623
What is 166 minutes before 5:51 PM?
3:05 PM
What is 597 minutes before 4:47 PM?
6:50 AM
How many minutes are there between 2:28 AM and 1:44 PM?
676
What is 302 minutes after 8:48 AM?
1:50 PM
What is 406 minutes before 8:44 AM?
1:58 AM
How many minutes are there between 11:37 AM and 9:44 PM?
607
How many minutes are there between 9:55 AM and 3:36 PM?
341
What is 623 minutes before 5:29 AM?
7:06 PM
How many minutes are there between 6:25 AM and 5:56 PM?
691
What is 97 minutes after 10:10 PM?
11:47 PM
What is 366 minutes after 9:28 PM?
3:34 AM
What is 153 minutes before 1:23 AM?
10:50 PM
How many minutes are there between 10:03 PM and 6:27 AM?
504
What is 197 minutes before 12:04 PM?
8:47 AM
How many minutes are there between 1:22 PM and 6:50 PM?
328
What is 264 minutes before 5:38 PM?
1:14 PM
What is 69 minutes after 10:22 PM?
11:31 PM
How many minutes are there between 5:25 PM and 6:14 PM?
49
What is 69 minutes before 2:57 AM?
1:48 AM
What is 578 minutes before 3:06 AM?
5:28 PM
What is 623 minutes before 11:08 PM?
12:45 PM
What is 482 minutes after 5:02 PM?
1:04 AM
What is 443 minutes after 12:43 AM?
8:06 AM
How many minutes are there between 11:37 PM and 2:30 AM?
173
What is 265 minutes after 8:10 PM?
12:35 AM
What is 507 minutes before 3:01 AM?
6:34 PM
How many minutes are there between 10:29 AM and 9:36 PM?
667
What is 386 minutes after 6:56 PM?
1:22 AM
How many minutes are there between 5:42 PM and 6:22 PM?
40
How many minutes are there between 4:21 PM and 11:19 PM?
418
How many minutes are there between 6:21 PM and 1:17 AM?
416
How many minutes are there between 2:10 AM and 6:25 AM?
255
How many minutes are there between 11:07 PM and 10:26 AM?
679
What is 628 minutes before 5:32 AM?
7:04 PM
What is 328 minutes before 10:30 PM?
5:02 PM
What is 185 minutes before 6:59 AM?
3:54 AM
How many minutes are there between 2:24 PM and 2:49 PM?
25
How many minutes are there between 11:51 PM and 10:00 AM?
609
What is 559 minutes after 4:03 PM?
1:22 AM
How many minutes are there between 7:58 PM and 9:20 PM?
82
How many minutes are there between 6:27 PM and 3:51 AM?
564
How many minutes are there between 4:30 PM and 1:37 AM?
547
What is 237 minutes before 9:48 PM?
5:51 PM
How many minutes are there between 3:04 AM and 10:23 AM?
439
How many minutes are there between 11:20 AM and 12:50 PM?
90
How many minutes are there between 2:28 PM and 6:05 PM?
217
How many minutes are there between 8:36 AM and 5:49 PM?
553
How many minutes are there between 12:33 PM and 3:24 PM?
171
How many minutes are there between 1:38 PM and 4:13 PM?
155
What is 576 minutes after 10:08 PM?
7:44 AM
What is 502 minutes before 11:36 AM?
3:14 AM
What is 385 minutes before 7:33 PM?
1:08 PM
What is 539 minutes before 1:59 PM?
5:00 AM
How many minutes are there between 12:59 AM and 12:28 PM?
689
What is 620 minutes before 4:39 AM?
6:19 PM
How many minutes are there between 8:32 PM and 2:09 AM?
337
What is 560 minutes after 5:46 PM?
3:06 AM
What is 136 minutes after 3:08 AM?
5:24 AM
How many minutes are there between 7:19 PM and 6:34 AM?
675
How many minutes are there between 1:28 AM and 5:54 AM?
266
What is 703 minutes before 2:33 PM?
2:50 AM
What is 458 minutes before 7:58 AM?
12:20 AM
How many minutes are there between 11:36 PM and 6:16 AM?
400
How many minutes are there between 3:50 PM and 3:45 AM?
715
What is 289 minutes before 8:33 AM?
3:44 AM
What is 211 minutes after | {
"pile_set_name": "DM Mathematics"
} |
Rearrange (-5 + 2 + 1 + (1 - 4 + 4)*(-2 + 4 - 4))*(18 - 15*i - 18) to the form n*i + c and give n.
60
Rearrange (-20*a - 97 + 97)*(4*a + 2 - 2 - 2*a**3) to u*a**4 + p*a**3 + s + j*a**2 + b*a and give u.
40
Express (-22 - 4*m - m + 0*m)*(-1 - m + 1) + (3*m + 3*m - 5*m)*(-3 + 2*m + 3) in the form h + y*m**2 + q*m and give y.
7
Express (-2 - 2*v + 2)*(3*v**2 - v**2 - 4*v**2) + (-3*v + 4*v - 7*v)*(4*v**2 + v**2 - 3*v**2) as n*v + k*v**2 + o + s*v**3 and give s.
-8
Express (13 + 24 - 28)*(-i + 0*i + 0*i + (i - 2*i - i)*(5 - 4 - 3)) as p*i + y and give p.
27
Rearrange 2 - 2 - 2*r + 14*r to p + w*r and give w.
12
Rearrange -23*w + 19*w + 40*w + 48*w to a*w + y and give a.
84
Rearrange -13*v**2 + 75 - 75 + (-2 + 2 - 2*v)*(v + 0*v + v) - 3*v**2 + 3*v**2 - 2*v**2 + (0*v**2 + 3*v**2 - v**2)*(-1 - 3 + 3) to t + h*v + k*v**2 and give k.
-21
Express 0*p + 0*p + 2*p**4 + (-1 + 0 + 0)*(-3*p**4 + 133*p - 133*p) in the form o*p**2 + t*p**3 + j*p + q + g*p**4 and give g.
5
Express 0 - 2 - 3*k + 14*k + 13*k in the form m + x*k and give m.
-2
Rearrange 2*v**3 + 2*v**2 + 2 + 0 - 3*v - 8*v - v**4 + 9*v to the form d*v**3 + h + y*v**2 + r*v**4 + i*v and give d.
2
Express (-7 - 1 + 5 - v)*(0*v + 0*v + 2*v) + 3*v**2 + 3*v**2 - 5*v**2 in the form x*v**2 + l*v + t and give x.
-1
Rearrange 13 - 18 + 5 - 16*m to f + r*m and give f.
0
Express w**3 - 8*w - 1 - 2 + w**2 + 7*w + (2*w - w + w)*(w**2 + w**2 + 0*w**2) in the form a*w + x + k*w**3 + b*w**2 and give a.
-1
Rearrange -5*r - 398 + 398 + 3*r to k*r + t and give t.
0
Express (-25*c - 6 + 6)*(4*c + c - 3*c) + 2*c + c**2 - 2*c - 2*c**2 + 0*c + 0*c in the form b*c + m + v*c**2 and give b.
0
Rearrange -2*a - 67 - 2*a**2 + 110 - 73 to the form y + f*a + t*a**2 and give f.
-2
Rearrange (-4 - 1 - 1)*(-6*f + 0*f + 13*f) to y + r*f and give r.
-42
Rearrange w - 7*w - 6*w to v + m*w and give m.
-12
Express 13*u**3 - 675*u**2 + 676*u**2 + 12*u**3 as i*u**3 + s + k*u + b*u**2 and give i.
25
Express 1 - 3*h**2 + 8*h**2 + 189*h - 195*h + 1 in the form x*h**2 + w*h + l and give x.
5
Express (-2 + 1 + 3)*(-4 + 2 + 5)*(0*d + d + d)*(-3*d**2 + 0*d**2 + d**2) in the form n*d**3 + r*d + m + g*d**2 and give n.
-24
Rearrange 5 - 7 - 4 + 7 + 5*k to the form q + a*k and give a.
5
Express (0*q + 5*q - q)*(-q + 4*q - q)*(0 + 5 - 3) - 13 + 13 + 6*q**2 + q**2 + 1 - 1 + (4 - 4 + 2*q)*(3*q + 4*q - 5*q) as w*q + j + z*q**2 and give z.
27
Rearrange 114*w**2 - 113*w**2 + 6*w - 2 - 2*w**3 + 0*w**3 + 4*w**3 to k*w**3 + y + i*w + b*w**2 and give y.
-2
Express (-45*j**2 + 45*j**2 - 2*j + 5*j**3 - 5)*(j - j + j) as w*j**2 + m*j**4 + y*j**3 + k*j + o and give o.
0
Express (5 - 4 - 4)*(-71 - 15*t**3 + 71) as v*t**2 + d + j*t**3 + k*t and give j.
45
Express 3*l**3 + 5*l**3 - 6*l**3 + l**2 in the form t + n*l**3 + w*l**2 + k*l and give n.
2
Express (4 + o - 4)*(-3 - 1 + 2) + o + 0*o + 0*o + 4*o - 3 + 2 + 0*o in the form i + n*o and give i.
-1
Rearrange (6*m + 31*m + 14*m)*(2*m - 3*m - 3 + 1) to a + h*m**2 + z*m and give h.
-51
Express -11 + 6 - 4*a + 6*a as h + n*a and give h.
-5
Express (14 - 8 - 2*i - 16)*(-2 - 2*i + 2) as b*i**2 + k*i + j and give k.
20
Express -c**2 + 14*c - 5*c + 5*c**2 + 10 - 13 in the form m*c + o*c**2 + y and give y.
-3
Express 41*j + 18*j - 9*j as g*j + n and give g.
50
Rearrange -c**4 - c - 8*c**2 - 4 + 3*c + 3*c**2 + 6*c**2 + c**3 to the form t*c**2 + b + w*c**3 + k*c + q*c**4 and give w.
1
Rearrange -11*a**2 - 15*a**2 - 5*a**2 to the form b*a**2 + l*a + m and give b.
-31
Rearrange (-3*j**3 - j**3 + 3*j**3)*(j + 2*j + 0*j) + 2*j**4 + 3*j**4 + 0*j**4 to w*j**3 + h*j + t*j**2 + c + o*j**4 and give o.
2
Express (0*y - 30*y - 60*y)*(0*y + 3*y + 0*y) in the form w*y**2 + l*y + p and give w.
-270
Rearrange 3*c**2 - 2*c**2 + c**2 + (8*c - 11*c**2 - 8*c)*(2 + 3 - 3) to d*c + q + b*c**2 and give b.
-20
Express (41*m**3 - 42*m**3 - 200*m**3)*(-1 + 3 - 1) as q*m**3 + s + o*m + z*m**2 and give q.
-201
Express -31*t**2 - 6*t**2 - 14*t**2 as d*t**2 + x + m*t and give d.
-51
Rearrange (2*p + 0*p - 4*p)*(p + p + 0*p)*(-7 + p**2 - 2*p**2 + 0*p**2) to the form z + k*p**3 + n*p**2 + u*p + y*p**4 and give y.
4
Express -44*p - 3932 + 3932 in the form m*p + r and give m.
-44
Rearrange (-35 + 10 - 19)*(3 + 0 - 2)*(2*y + 1 - 1) to j*y + p and give j.
-88
Express -13*k**3 + 3 + 2*k**3 - 4*k**3 + 2*k**3 in the form n*k**2 + v*k**3 + m*k + f and give f.
3
Rearrange (-4*m**2 + 3*m**2 - m**2)*(2 + 1 - 2)*(3*m - 5*m + m)*(6 + 6*m - 6) to o*m + h*m**4 + y*m**3 + k*m**2 + w and give h.
12
Rearrange 3 - 8*b - 14 + 9*b - 3 to the form n + z*b and give z.
1
Rearrange (2 - 4 + 0)*(-3 + 2 - 1)*(19*s - 3 - 6 + 11) to the form v + i*s and give v.
8
Express -11*d - 3 - 7*d**2 + 14*d - 3*d in the form g + j*d + t*d**2 and give t.
-7
Express -53*n + 1 - 1 + 56*n as w + i*n and give i.
3
Express (a - 12*a - 4*a)*(7 - 2 - 2)*(-4 - 1 + 4) as o + l*a and give l.
45
Rearrange 0 - 33*r + 3 + 23*r to b*r + w and give w.
3
Rearrange (-16 + 16 + d)*(-3 + 3 + 3*d**2) to y*d + u*d**2 + s + a*d**3 and give a.
3
Rearrange (28 - 60*d + 26 - 54)*(d + d - 3*d) to h + x*d + g*d**2 and give g.
60
Express 6*f**3 + f**2 - 8*f**3 - 6*f**4 + 4*f + 4*f**3 + 3*f**4 in the form p*f**4 + y*f + u + x*f**3 + d*f**2 and give y.
4
Express -44*f + 40*f + f**2 - f**2 - 2*f**3 as u*f + t*f**2 + x*f**3 + b and give u.
-4
Rearrange (a**4 - 4*a**2 + 4*a**2)*(-5 - 3 + 3) - 3*a**2 + 7 - 7 + 2*a**4 to the form y*a**3 + u*a + f*a**4 + c + x*a**2 and give f.
-3
Rearrange (-3*c + c + 0*c)*(3 - 5 + 3) + (0 - 1 - 1)*(2*c - 2*c + c) + c - 5*c + 2*c + 0*c + 0*c - 7*c to h*c + n and give h.
-13
Rearrange -w**4 + 3*w**4 + 9 - 6 - w + 3*w**2 to the form p + c*w**2 + a*w**3 + j*w + x*w**4 and give x.
2
Express (4 + 1 - 3)*(4 - 2 + 0)*(3 - 3 + 2*z)*(-7 - 18 - 1) in the form r*z + v and give r.
-208
Express -10*d**3 - 1 - 2*d - d - 15*d**3 + 22*d**3 as u*d**3 + f + q*d**2 + t*d and give f.
-1
Rearrange (-2*f**2 + 0*f**2 - 14*f**3 + 3*f**3)*(1 + f - 3 + 5*f) to the form b*f + z*f**4 + c*f**3 + g + k*f**2 and give k.
4
Rearrange (-r**3 - 2*r**3 + 0*r**3)*(-3*r + 5*r - 4*r + 3) to the form s + c*r + j*r**3 + u*r**4 + p*r**2 and give u.
6
Rearrange (2*b**2 + b**2 - b**2)*(-2*b + 7 - 12 - 7) to p*b**3 + x*b**2 + u + y*b and give x.
-24
Express (-3*i + 0*i - 2*i)*(-1 - 6 - 3) in the form t + z*i and give z.
50
Express x + 2*x + 14*x - 3*x as k + p*x and give p.
14
Express 83 + 72*b - b**2 - 35*b - 36*b as r + o*b**2 + d*b and give r.
83
Rearrange (-7 + 0 - 4)*(8*g**2 - 5*g**2 + 3*g**2) to p*g**2 + c*g + f and give p.
-66
Rearrange (18*r + 227 - 227)*(r**2 - r**2 - r**2 + r) to d + s*r**2 + t*r + f*r**3 and give f.
-18
Rearrange -1 - 1 - 7*a**3 + 0 + a**2 + 9*a**3 to x*a**3 + l*a**2 + z*a + g and give x.
2
Rearrange (-1 - 3 + 3)*(7 + 8*i - 7) to the form h + l*i and give l.
-8
Rearrange (p - 9 + 6 - 3*p)*(-5 - 2 + 2) to the form f*p + a and give a.
15
Express (2 - 4*k**3 - 2)*(13*k + 2*k - 2*k) as d*k**4 + s*k + w*k**2 + r + t*k**3 and give d.
-52
Rearrange (-6 - 3 + 1)*(5*k - 5*k - 2*k)*(-k - 4*k + 2*k) to n*k**2 + m*k + v and give m.
0
Rearrange -27 + 31*v + 2*v**3 + 27 - 11*v to the form o*v + m*v**3 + d + l*v**2 and give o.
20
Rearrange (31 - 8 - 17)*((1 + g - 1)*(1 + 1 - 4) + 1 - 1 - 2*g) to k*g + x and give k.
-24
Rearrange -8*k + 2 + 8*k**2 - 3*k**2 - k**4 - 6*k**2 to y*k + d*k**3 + c + n*k**2 + m*k**4 and give m.
-1
Express 81*i**2 + 2 - 9*i + 6*i + 3*i in the form z*i**2 + k*i + o and give z.
81
Rearrange (-12 + 29 + 27*i**2 + i - 16)*(-i + 4*i - 2*i) to s*i**3 + m*i**2 + w*i + h and give w.
1
Express 8*u**2 - 43*u**3 + 23*u**3 + 24*u**3 - 3*u**2 - 3 - u**4 as p + l*u**3 + v*u**4 + y*u**2 + s*u and give l.
4
Rearrange -12*l**3 - l**2 + 4*l**2 - 4*l**2 + l + 9*l**3 to the form h*l**2 + d*l + q + k*l**3 and give h.
-1
Rearrange 4 - 379*y - 4 + 376*y - 8*y**2 to the form q + h*y + o*y**2 and give o.
-8
Express (37*k - 55*k - 77*k)*(2*k - 2*k + k**2) in the form f + u*k + l*k**2 + h*k**3 and give h.
-95
Express -5*h**4 + 204 - 2*h**3 + h**2 - 204 - 11*h**4 - h in the form d + g*h**2 + v*h**3 + w*h**4 + c*h and give w.
-16
Express -80*q + 543 - 543 as o + u*q and give u.
-80
Rearrange 18*c**3 - 27*c**3 - 6*c + c**2 + 12*c**3 to i + z*c**3 + r*c**2 + q*c and give q.
-6
Express -2*l - 4 - 6 + 11 - l**3 + l as w + j*l**3 + s*l | {
"pile_set_name": "DM Mathematics"
} |
of z?
1
Let z be ((-245)/(-10) - -1)*128/6. Suppose -116*c + 117*c - z = 0. What is the tens digit of c?
4
Suppose -16*l = 4*t - 17*l - 1875, 0 = -3*t - 4*l + 1411. What is the tens digit of t?
6
Suppose 6*j - 31*j = -44525. What is the thousands digit of j?
1
Suppose l + 5*l - 30 = 0. Suppose -32 - 48 = -l*u. Suppose -3*f = -5*n - 112, -n + 108 = 2*f + u. What is the tens digit of f?
4
Suppose 47*l + 402 = 120. Let g be (-4 + 5)/(0 - -1). What is the units digit of (l/(-12))/(g/192)?
6
Let q = 1561 - -6819. What is the thousands digit of q?
8
Let i be -2 + (0 - -5) - 18. Let j be (-12 - i) + (-6)/(-2). Suppose j*y = 2*b + 3*y - 6, y + 12 = 4*b. What is the units digit of b?
3
What is the thousands digit of (1/3)/((-42)/(-367794))?
2
Suppose -3*n + g = -189, -2*n - 3*g + 120 = 5. What is the thousands digit of 1149/14*-4*(-217)/n?
1
Suppose -5*w - 8*w = -13. What is the tens digit of 46*((-11)/22)/(-1*w)?
2
Let r(m) = 6483*m + 14. Let c be r(1). Suppose 5*i - c = -2*h, -i - 3*h = -1538 + 236. What is the hundreds digit of i?
2
Let a be ((-114)/(-9))/((-2)/6). Let k = -392 - -479. Let f = k + a. What is the tens digit of f?
4
Suppose 4*s = 5*v + 26990, -v + 6084 + 7404 = 2*s. What is the tens digit of s?
4
Suppose 0 = 5*x - 2*h - 40, 5*x - 2*h = 3*h + 55. Let o be 8/(-6)*x/4. Let v(k) = -15*k - 8. What is the units digit of v(o)?
2
Let q(a) = 250*a + 40. Let w be q(-8). Let c = 2986 + w. What is the hundreds digit of c?
0
Let l = -22 + 3. Let i(q) be the third derivative of -q**5/60 - 17*q**4/24 + 13*q**3/2 + 2*q**2 - 8*q. What is the units digit of i(l)?
1
Suppose 0 = 62*n - 2*n - 183082 - 158018. What is the thousands digit of n?
5
Let j be (-10 + 8)/(3/(-6)). Let m be 624/10*30/j. Suppose 5*f - m + 8 = 0. What is the units digit of f?
2
Let l = 1753 - 516. Suppose -8*p - 5*a - 429 = -9*p, 3*p - l = 5*a. What is the hundreds digit of p?
4
Suppose 5*v = 5, -2*v - 43 = -o + 3*v. Suppose -13 + o = 7*a. Suppose a*p = h + 123, -2*h - 97 - 5 = -4*p. What is the tens digit of p?
2
Let o = -36 + 38. Let p(a) = 1 - 6*a - 3*a + 7 - o*a. What is the units digit of p(-5)?
3
Let q = 334 - 311. Suppose -33*l + 11890 = -q*l. What is the units digit of l?
9
Let r(f) be the third derivative of -1/24*f**4 + 0*f + 4*f**3 - 13*f**2 + 0 + 1/30*f**5. What is the units digit of r(0)?
4
Let k = 1969 + -1828. Suppose -199 = 3*t + 2*d - 44, 4*t - 4*d = -220. Let h = t + k. What is the units digit of h?
8
Let y = 50 - 39. Suppose -j + 96 = y*j. Suppose -j*q = -5*q - 69. What is the units digit of q?
3
Let m = 167 - 173. What is the units digit of -127*1*m/((-24)/(-4))?
7
Let y = 22 - 15. Let z(d) = 8*d + 4*d + 1 + 7*d + y*d. What is the tens digit of z(2)?
5
Let a = -3239 - -11803. What is the hundreds digit of a?
5
Suppose 5*l - 4*u - 145099 = 0, l - 6*l = 5*u - 145090. What is the thousands digit of l?
9
Let t(z) = -68*z + 1689. What is the thousands digit of t(-7)?
2
Let c(a) = -a**3 - 9*a**2 - 4*a - 17. Let y be c(-9). Let r = y - 4. Suppose -t - 2*t = -3*f - 33, -3*t + r = 3*f. What is the units digit of t?
8
Let s(k) = 4*k - 8. Let y be (5/(-70)*-7)/(2/8). Let g be s(y). Suppose g*z - 5*z = -645. What is the hundreds digit of z?
1
Let n = 54540 + -29750. What is the units digit of n?
0
Suppose 0 = -93*g + 41*g + 379532 + 349144. What is the ten thousands digit of g?
1
What is the ten thousands digit of -2 - (-11)/22*25546?
1
Let h(x) = 50*x**2 - 26*x + 5. What is the tens digit of h(2)?
5
Suppose 44*i - 41*i = 4*h + 15818, -5*i + 3*h + 26356 = 0. What is the thousands digit of i?
5
Suppose 2*p - d - 94 = 0, -62 - 175 = -5*p + 2*d. Let s = p - 49. Suppose s = 2*j - 3*b - 213 - 14, 2*j = -4*b + 220. What is the hundreds digit of j?
1
Let h be -5 + 0 - 25/(-5). Suppose -g + 8 = -m, -1 = -2*g - m - h*m. What is the tens digit of (-2)/g - (-2464)/96?
2
Let l(b) be the second derivative of -6*b + 6*b**2 - 1/2*b**3 + 0. What is the tens digit of l(-6)?
3
What is the units digit of (-99)/66*17*(-1886)/3?
1
Suppose 2*i = -46 + 354. Let y = i + -742. Let t = y + 837. What is the units digit of t?
9
Let l(b) = 32*b**2 - 10*b + 4. Let t(p) = p**2 - 14*p + 9. Let r be t(13). Let s be l(r). Suppose -3*o - s = -7*o. What is the units digit of o?
9
What is the units digit of 12767 + -44*3/12?
6
Let r = 40875 - 4017. What is the thousands digit of r?
6
Suppose -3*m + 22521 = -3*j, -2*j + 16828 = 2*m + 1830. What is the units digit of m?
3
Let p = 4255 - 1167. What is the thousands digit of p?
3
Let l(v) = 4*v**2 + 6*v + 1557. What is the units digit of l(-40)?
7
Let j = 26 - -6. Let w = j - 20. What is the units digit of w/84 - (-334)/14?
4
Suppose 0 = r + 3*c - 361, 3*r - 2*c - 1078 = -6*c. Let g = r + 470. What is the hundreds digit of g?
8
Suppose -5*x = -3*o - 3138, -1248 = 3*x - 5*x + 3*o. What is the units digit of ((-16)/(-5))/((-6)/(x*-2))?
2
Suppose 53315 = 10*g - 119895. What is the hundreds digit of g?
3
Suppose 421*p = 6738435 + 11935020. What is the thousands digit of p?
4
Let l be (42/(-9))/(12/90*-5). What is the units digit of (1858/l)/(-10*(-9)/315)?
9
Suppose 2 - 2 = 3*p. Let h be -3 - (p + -15 + 0). Let x(w) = 9*w - 18. What is the units digit of x(h)?
0
Let k(s) = -2*s + 79. Suppose 0 = -2*v + 25 - 19. Suppose -j + v*j = 5*f + 15, -2*f - 6 = 5*j. What is the units digit of k(j)?
9
Let g(a) = -78 - 15 - a**2 - 23*a - 9*a + 7*a. What is the units digit of g(-8)?
3
Let u be (-11 - -7) + -368 + 2. Let s be 15/(-35) + u/(-14). What is the tens digit of s - (-4 + (-10)/(-5))?
2
Let f = -2397 + 1633. Let l = 1570 + f. What is the hundreds digit of l?
8
Let o = -37 - -38. Suppose -5 - o = -2*i. Suppose -4*p = -u - 2*p + 65, -i*p = -u + 67. What is the tens digit of u?
6
Suppose -1114*d + 29342976 = -698*d. What is the tens digit of d?
3
Suppose -27*h + 44253 + 255069 = 0. What is the tens digit of h?
8
Suppose -2*p = -3*p - 2*r + 626, -3*r + 2519 = 4*p. Let z = p + -26. What is the tens digit of z?
0
Let d(n) = 7 - 59 - 29 + 779*n - 717*n. What is the tens digit of d(12)?
6
Suppose -96*i + 942088 = -40*i. What is the thousands digit of i?
6
Suppose 0 = -t + 1, -5*t + 0*t + 20 = 3*y. Suppose h = 5*p - 1215, 0 = -y*p - 2*h - 74 + 1274. What is the hundreds digit of p?
2
Suppose -4*t - 48 = -2*q - 12, 2*q = -2*t + 18. Let a(g) = 2*g**3 - 15*g**2 - 23*g + 13. What is the units digit of a(q)?
3
Suppose -5*w - j - j + 22665 = 0, -18135 = -4*w - j. Suppose -4*v = 3*k - w, -v + 2275 = v - k. What is the thousands digit of v?
1
Suppose -5*s - 4*h = -2*h - 11946, -4*s = -3*h - 9543. Suppose 4*w - s = -4*q, 0 = q + q + w - 1194. What is the hundreds digit of q?
5
Let x = 45 + -58. Let k(j) = -4*j**2 - 20*j + 2*j**2 - 23 + j**2. What is the units digit of k(x)?
8
Let j = -17403 - -35535. What is the tens digit of j?
3
Let d be (-33)/(-6) - 3/2. Suppose g = 2*p + 12, -3*p - 52 = -d*g + 11. Let b = g + 3. What is the units digit of b?
1
What is the hundreds digit of 14/7 + (-4)/(-10) + 379017/45?
4
What is the thousands digit of 2*(-78)/12 - -20935?
0
Let f = -9941 - -19770. What is the units digit of f?
9
Let d = 9014 + -8745. Suppose 5*u - 33 = -5*a + 492, 0 = -a + 4*u + 120. Let s = d - a. What is the tens digit of s?
6
Let h(f) = 37*f + 10*f - 2*f. Let k(l) = 2*l - 4. Let a be k(3). What is the units digit of h(a)?
0
What is the units digit of (13 - 10 - 720)*-11?
7
Suppose -y - 5*p + 11022 = 0, -15369 = -y + 5*p - 4337. What is the tens digit of y?
2
Suppose 5*p = 25, 4*p + 2 = q + 5*p. What is the hundreds digit of (1 + q)/(((-24)/(-1359))/(-4))?
4
Let m be ((-2)/5)/((-3887)/(-780) + -5). Suppose -2445 + 13653 = m*w. What is the hundreds digit of w?
4
What is the ten thousands digit of 1567107/(-54)*(-8)/12?
1
Let f(l) = 1741*l + 1840. What is the ten thousands digit of f(10)?
1
Let l be (-150)/(-120) + (-14)/(-8). Suppose 4*f + 14*a - 10*a - 2920 = 0, a = l. What is the tens digit of f?
2
Suppose -5*c - 2*w = -116207, -c + 25423 = w + 2181. Suppose c = 28*k - 26403. What is the hundreds digit of k?
7
Let d(o) = -69*o + 870. What is the tens digit of d(2)?
3
Let p = 105398 + -67625. What is the tens digit of p?
7
Let l(a) = -a**3 - 25*a**2 - 9*a - 35. Let k be l(-26). Suppose -3*c + k = -241. What is the tens digit of c?
7
Let t = 9478 + -6613. What is the hundreds digi | {
"pile_set_name": "DM Mathematics"
} |
-0.4
a
Let k be (-7)/(-21)*(-2 + -1). Which is the nearest to -1? (a) k (b) 11 (c) 0.2 (d) -0.5
a
Let x = 64 - 187. Let l = -125 - x. What is the nearest to 2.3 in 5, l, -0.1?
-0.1
Let p = -51 - -30. Let o = p - -20.7. Which is the nearest to 2/3? (a) 3 (b) 2 (c) o
c
Let h = 3301 + -3272.37. Let n = -0.37 - h. Let v = -29 - n. Which is the nearest to v? (a) -19 (b) 2/17 (c) -5
b
Let q(a) = 148*a - 1031. Let c be q(7). What is the closest to 0.1 in -6, c, -12/5, -7/4?
-7/4
Let y(i) = i**2 - 18*i + 3. Let u be y(18). Which is the nearest to -9/17? (a) 0.2 (b) 2/15 (c) u (d) 4
b
Let t = 130.2 - 11.2. Let o = t + -220. Let h = o + 101. Which is the nearest to 0.2? (a) -2 (b) 2/7 (c) h
b
Let m = 4 + -3.8. Let t be 0/(5 - (7 - 3)). Suppose t = -3*s - 3*d + 15, 2*s - 5*s - 2*d = -10. Which is the nearest to 0.5? (a) 4 (b) s (c) m
c
Let y = 5.2 - 30.4. Let q = -838 + 863. Let c = y + q. What is the closest to c in -0.5, 0.5, 3?
-0.5
Let m be 0/((-4)/2 - -1). Let d(h) = 4 + 2*h - 8*h + 5*h + h + h. Let v be d(m). Which is the nearest to 1? (a) v (b) 0 (c) -1
b
Let f = -0.53 - -1.53. Let s = 0.1346 + -0.4746. Which is the nearest to f? (a) s (b) 0.5 (c) -3
b
Let u = -16.5 + 44.3. Let v = -24.8 + u. What is the nearest to -2/19 in 4, -0.2, v?
-0.2
Let l = -0.09 - -0.03. Let v = 0.94 - l. Let q = 49.52 + -50.02. What is the closest to v in -5, q, -2/19?
-2/19
Let y = 10 - 5. Let i be 20/(-200)*1460/(-657). Which is the nearest to 2/5? (a) 4 (b) y (c) i (d) -1
c
Let g = 0.33 + -3.33. What is the nearest to 2/3 in 0.0234, g, -1/4?
0.0234
Let x = -61708 - -61712. Let q = -6.4 + 8. What is the nearest to q in x, -5, 0.3?
0.3
Let u = -8.584 - -8.624. Suppose 0 = -d + 2*v + 3*v - 8, 0 = 4*d - 3*v - 2. What is the nearest to d in u, -2, 4?
u
Let l = 1744.5 + -1744. Let r = 3 + -3. Which is the closest to r? (a) 4/3 (b) l (c) 7
b
Let q = 47.1 - 47. Let y be -2*(6/5 + -1) + 0. What is the nearest to y in q, 8, -2/13?
-2/13
Let f = 0.1 - 0.21. Let v = 102.9 + -103. Let s = 10 - 11. What is the closest to f in s, v, -4?
v
Let k(u) = -u**3 - 4*u**2 + 2*u + 13. Let c be k(-3). What is the nearest to 0 in -5, 1/94, c, -1?
1/94
Suppose 2*l + 24 = 3*s - 2*l, s - 5*l = 19. Let g be -3*s/(-8)*-2. Let k = -0.05 + 0.35. Which is the closest to 2? (a) -0.4 (b) k (c) g
b
Let o = 26866 - 26865.5. Which is the closest to 72? (a) -0.5 (b) -1/20 (c) 0.3 (d) o
d
Let g = -1 + 1. Let h = -923 - -421. Let k = -500 - h. Which is the closest to -0.08? (a) g (b) 1/2 (c) k
a
Let k(q) = -45*q**2 + q + 1. Let f be k(1). Let u = 42 + f. Let l = 307/3 + -103. What is the closest to u in -2/9, 1, l?
l
Let i be ((-2232)/992)/(9/48). Which is the nearest to 0? (a) -3/8 (b) -3 (c) i (d) 2/13
d
Suppose -11*s - 5 = -390. Suppose -5*x = -s + 20. Which is the closest to x? (a) -1/11 (b) 1/4 (c) 0.4
c
Let v = 0.64 - 0.34. Let l = -710 + 710.1. Let a = -0.02 - -0.42. What is the closest to l in v, -0.4, a?
v
Let m be (4 + -3)/((-1)/(-3)). Let j = -4285.5 + 4286. Which is the closest to m? (a) -4 (b) -3 (c) 4/7 (d) j
c
Let o = -243 + 240. Let j be o/(-5 - (1 + -9)). Let f = -7 - 7. Which is the closest to j? (a) -2/9 (b) -0.4 (c) f
b
Let w be 4 + ((-66)/(-9))/(-2). Let z = -126 - -125.37. Let j = z + 0.73. Which is the nearest to 2? (a) -1 (b) w (c) j
b
Let f = -23 + 24. Let w = 0.17 - 35.17. Let m = -33 - w. Which is the nearest to f? (a) -0.1 (b) 0.6 (c) m
b
Let v = -596.9 + 600.9. Let z = -0.003 - 3.897. What is the closest to 3 in v, z, -3?
v
Let v = -44 - 23. Let o = v + 332/5. Let c = 13/34 - -2/17. What is the nearest to 7 in -2/15, c, o?
c
Let f = 4019 + -4018.7. Which is the closest to -1? (a) 2 (b) f (c) -9
b
Let t = -1161/5 - -231. Let i = 124 + -121. What is the nearest to i in t, 0, 4?
4
Let t be ((-96)/40 + 2)/(12/(-10)). Let w be 3 + (-21)/(-9) + -5. Which is the nearest to t? (a) w (b) 2/9 (c) 5
a
Let l = -1.3 + 0.3. Let n = 1.4 + l. Let h be 4/(-26) - 210/(-520). Which is the closest to -3? (a) 5/6 (b) n (c) h
c
Let d = 13.99297 + 0.00703. Which is the nearest to 1? (a) -2/3 (b) 1/7 (c) d
b
Let q = 66 - 66.06. Let v = 459 - 461. Which is the nearest to v? (a) -0.1 (b) -2 (c) q
b
Let m = 125914 - 125319.01. Let g = m - 595. Which is the nearest to -1/4? (a) 0 (b) 0.1 (c) 5 (d) g
d
Let t = 0.4 + 0.1. Let d = 73 + -78.4. Let k = 5.7 + d. What is the closest to -6/7 in k, t, 1/3?
k
Let d = 3.8037 - 0.8037. Let h be (3/6)/((-33)/(-36)). What is the closest to h in -0.5, 0.5, d?
0.5
Let g = -4149 - -20748/5. What is the nearest to 0.34 in -5, 0.5, g, 1.4?
0.5
Let o = 3 + -2.9. Suppose -5*m - 7 = -167. Let s be (-150)/48 - (-4)/m. What is the closest to -0.1 in s, 5, o?
o
Suppose -40*v + 18*v + 374 = 0. Let c = v + -15. What is the nearest to -0.1 in 19, -1, c?
-1
Let f = 7605/2 + -3804. What is the nearest to -2/7 in -1, -26/9, f?
-1
Let r(i) be the second derivative of -i**4/6 + 28*i**3/3 + 30*i**2 + 118*i. Let q be r(29). Which is the closest to q? (a) 2 (b) 0.05 (c) 3
a
Let w be -29 + -6 + -5 + 20. What is the closest to w in 0.1, -2/15, -3?
-3
Let i = 683 - 679. What is the closest to 1 in -0.1, 0.6, 1/6, i?
0.6
Let n = 23215 + -23214. What is the nearest to 0.07 in n, 14/9, -0.4?
-0.4
Let n = 5713 + -5710. What is the closest to n in -1/9, -4, -0.1?
-0.1
Let s = 29.981 + -29.99. What is the closest to 0.2 in 5, s, 1, 2/13?
2/13
Suppose 13*v + 65 = -7*u + 9*u, v + 5 = -u. Let o = -3.94 - 0.06. What is the closest to -2/79 in v, 2/11, o?
2/11
Let s = 378799/6 + -63133. Let z = -0.8 - -0.3. Which is the nearest to 0.2? (a) s (b) z (c) 2/45
a
Suppose -3*u = 2*u + 4*u. Suppose 5*a - g - 25 = u, 5*a + 4*g - 1 - 49 = 0. Let y be (-1 + 10/a)*(-3)/(-2). What is the nearest to 6 in -1, y, 0.1?
y
Let r = 4.4 + 0.6. Suppose -46 = -2*k - 4*l, -2*l - 34 = -k - k. Suppose 0 = -13*w - 6 + k. What is the nearest to w in r, -0.3, 3/4?
3/4
Suppose -4*t - 7 + 17 = -3*t. Which is the closest to 4/15? (a) 0.1 (b) 2/7 (c) t (d) 2
b
Let x = -0.64883 - -0.14883. Which is the closest to 2? (a) x (b) -2 (c) -0.05 (d) -6
c
Let g be 0 - (-20)/18 - 1. Let q = 0.0002 + 0.1718. Let b = q - -0.028. What is the closest to b in g, -0.1, 0.3?
g
Let j = 294.0637 - 0.0637. Let r = 294 - j. Let o be -1 + 3 - 12/7. Which is the nearest to r? (a) o (b) -2 (c) -0.4
a
Let l be (141/(-45) + 3)/(126/(-105)). Let k = 1967 - 1964. What is the closest to -2 in k, -2/3, -1, l?
-1
Let h = 7.69 - 3.69. Let q = -32 + 13. Let c = -20 - q. What is the nearest to c in 2/27, h, 0?
0
Let c = 5719 + -5700. Let t = -5.02 - -0.02. What is the closest to 1 in -3, t, c?
-3
Let j = 23.6 + -24.39. Let k = -2.79 - j. Let s = -3.04 + 0.04. What is the closest to s in 2, 4, k?
k
Let k = 29216.9 - 29216. Which is the nearest to k? (a) -3 (b) -25 (c) -10/9
c
Suppose -4*d = -2*f, -d + 22*f + 9 = 26*f. Which is the closest to d? (a) -0.1 (b) 35 (c) -2/15
a
Let q be -5 + 2/(-6)*3*0. Let u be 4 - 44/10 - (q - -4). Which is the nearest to u? (a) 3 (b) 5 (c) -5
a
Let z = 3836 + -3831. Which is the nearest to -0.4? (a) -0.7 (b) z (c) -2/5
c
Let i = 13.4192 - -0.5808. What is the closest to -6 in 5, -2, i?
-2
Let f = 12.98 + -13. Let z be -1 - (-4)/6*3. Suppose -2 - z = l. What is the closest to 1 in 4/3, f, l?
4/3
Let h = -0.3933 + 0.8933. What is the nearest to -1/2 in -1, 1/6, h, -0.7?
-0.7
Let x = -14197 - -14197.1. What is the closest to x in 0.3, -4, -5, 1/12?
1/12
Let q = 0.32 - -36.68. Let d = 18 - q. Let l = d - -18. Which is the closest to l? (a) 0.08 (b) -2 (c) -2/9
c
Suppose 0 = 50*t - 49*t - 5. Let m = -14.5 + 15.8. Let p = 0.2 - 0.1. Which is the closest to p? (a) t (b) m (c) 4
b
Let p = 0.7 - 0.8. Let c be 154/1694 - 25*(-1)/(-33). What is the nearest to p in -5, c, -38?
c
Let g = 9068 + -9066. Suppose 0 = -6*h + 3*h. Which is the closest to g? (a) h (b) -5 (c) -17
a
Let u = 260 - 300.6. Let k = 40.3 + u. Which is the nearest to 0? (a) 5 (b) 62 (c) k
c
Let j = -499 - -500. Let q be (-28)/(-21) - (9 + -8). What is the nearest to -1 in j, q, -2, -15?
-2
Let m = 0.6 + 0. Let l = m + -0.6. Let o = 0.08678 + -4.08678. What is the nearest to 2 in l, o, -1?
l
Let u = -430.29 - -427.29. Which is the nearest to -0.3? (a) -39 (b) | {
"pile_set_name": "DM Mathematics"
} |
multiple of 11 and p.
33
Let w = -35 - -41. Calculate the least common multiple of w and 15.
30
Let q = -671 + 349. Let d = -735/2 - q. What is the common denominator of d and -58/9?
18
Let s = -51 - -56. Calculate the least common multiple of 5 and s.
5
Calculate the smallest common multiple of (-3*(-2)/15)/((-10)/(-50)) and 8.
8
Suppose 0 = -2*i - 4 - 0. Calculate the lowest common multiple of 2 and -1 - (-22 - (-5 - i)).
18
Suppose -3*y - 3 + 21 = 0. Suppose -5*b = -2*i - 48, 2*b - 12 = -i - 0*i. Calculate the least common multiple of b and y.
24
Calculate the common denominator of 182/8*(-26)/(-741) and 67/10.
570
Let f = 441/2 - 224. Let l = 685/6 + -181/2. Calculate the common denominator of f and l.
6
Let w = -809/360 - -141/40. Calculate the common denominator of -51/20 and w.
180
Calculate the common denominator of -43*(81/21 - 4) and 35.
7
Suppose -f = -10 - 2. Suppose -g - f = -5*g. Calculate the least common multiple of 7 and g.
21
Let r be 0 + 3 - (-12 + -1). Let z = r - 0. What is the least common multiple of z and 8?
16
Let l = -27/53 + -463/1484. What is the common denominator of -65/12 and l?
84
Find the common denominator of (36 - 1)/((3 + 3)/(-3)) and 63/4.
4
Let b = -2450 - -26987/11. Find the common denominator of b and -91/10.
110
Let x = -27 - -31. What is the least common multiple of x and 28?
28
Suppose -s - 10 = 4*s, -3*z + 24 = 3*s. Let v(k) = -2*k. What is the lowest common multiple of v(-5) and z?
10
Let d(y) = y + 396. Let c be d(0). Suppose 2*k - 9142 = -2882. Calculate the common denominator of k/c + (-6)/33 and 75/22.
198
Let p = 1720/161 - 180/23. Let v be (-10)/6*(-69)/2. Let u = -249/4 + v. What is the common denominator of u and p?
28
Let k(a) = -5*a**3 + 1. Let n be k(1). Let o = n - -6. Find the common denominator of 43/8 and o*-47*(-1)/32.
16
Suppose -10*s + 7*s = -21. What is the least common multiple of s and 11?
77
Suppose 0 = -3*v - 2*v + 120. Let f(s) = -s**3 + 3*s - 1. Calculate the common denominator of 4/(v/(-45))*1 and f(-3).
2
Suppose a = 2*n - 8348 - 115, -1 = a. Let k = -3575099/776 + 35765/97. Let p = n + k. What is the common denominator of p and -23/5?
40
Let t = -304 + 1464/5. Suppose 2*s + 184 = 2*u, -5*u = s - 4*s - 456. What is the common denominator of t and (-616)/u + 9/(-15)?
45
Let t be (-2 - 124)/(4/(-12)). What is the common denominator of 151/12 and (14/t)/(4/366)?
36
Let d be (-1)/(-2) + (-2)/(-4). Calculate the common denominator of (304/28)/(d + 1) and 38/7.
7
Let r = 1/418977 + 7487869/837954. Let t = r - -45/26. What is the common denominator of 46 and t?
3
Suppose 4*v + 2*f = 47 - 7, 0 = -5*v + 2*f + 32. What is the common denominator of 153/12*v/33 and 71/9?
99
Let o = 1 - 47/7. Let g = 7 + 14. Calculate the common denominator of o and g.
7
Let a be 2/5 + (-43)/(-5). Suppose 1 - a = -4*s. Let c(d) = -8*d - 7. Calculate the least common multiple of s and c(-2).
18
Let s = 9737 - 369909/38. Calculate the common denominator of s and 35/16.
304
Suppose 5*y = 3*o - 2*o + 79, 3*y - 4*o - 44 = 0. What is the lowest common multiple of y and 12?
48
Let s be (33 + -1)/(35 - -2). Let v = s - 159/740. Calculate the common denominator of 43/10 and v.
20
Suppose -2*w = 4*q - 28, 2*w + 0*w - 3*q + 7 = 0. Suppose -25 = -3*m - 2*v + 29, -2*m + 52 = -w*v. Calculate the lowest common multiple of 2 and m.
20
Let z = -5 - -11. What is the smallest common multiple of 1/(-1) - (0 - 21) and z?
60
Let m = 8 - 0. Let n = 2 + -1. What is the least common multiple of n and m?
8
Suppose 0 = s - 84 + 370. Calculate the common denominator of -35 and (-2)/(-3) + s/6.
1
Let x = -20 - -36. Calculate the smallest common multiple of x and 10.
80
Let s(w) = 4*w**3 - w**2 + 2*w - 1. Let r be s(1). Let i = -1 + r. Suppose i*m - 3 = 39. What is the least common multiple of m and 14?
14
Let n(w) = -w**2 + 6*w + 9. Let s be n(7). Suppose -5*a + 23 + s = 0. Suppose a = d - 5. What is the lowest common multiple of 16 and d?
80
Suppose 40477 = -4*d - 0*m + 3*m, -3*m - 10138 = d. Let a = d - -161883/16. Calculate the common denominator of a and 27/4.
16
Find the common denominator of 712/126 + (-51)/119 and -5/11.
99
Suppose -3*v - 2*j + 6 = j, 5*v - 50 = 5*j. Suppose 2 = -2*i + 2*x, 4*i + i = -4*x + 40. Suppose i*t + 12 = 36. Calculate the lowest common multiple of t and v.
6
Let p = 20 + 0. What is the least common multiple of p and 32?
160
Suppose -2*t + 36 = -4*r, -5*t + 2*r + 65 = -3*r. Calculate the smallest common multiple of 12 and t.
24
Let z = -3 + 8. What is the smallest common multiple of z and 3*3 + -2 + 0?
35
Let a = 73/17 - 835/238. Let y be -3*(-6626)/24 - 2. Let q = y + -818. What is the common denominator of q and a?
28
Let j = 0 + 2. Suppose -9*r = -13*r. Suppose r = 6*u - 50 + 8. What is the least common multiple of j and u?
14
What is the common denominator of -18/7 and (-4)/(-14) - 792/(-70)?
35
Suppose 2*o - 3*o + 10 = 0. Suppose -4*t - w - 6 = -0, 3*t = -w - 4. What is the least common multiple of o and (-5 - t) + 14 + -1?
10
Let j = -3 - -7. What is the lowest common multiple of 22 and 12 - (-4)/(2 - j)?
110
Calculate the common denominator of 337/(-260) - 10/65 and ((-9)/(-20))/(1/9).
20
Let z(k) = -k**2 + 2*k + 6. Calculate the smallest common multiple of 4 and z(0).
12
Calculate the least common multiple of 11 and 4 - (-161)/(-35) - (-43)/5.
88
Suppose 5*u = -0*u - 4*b + 31, -5*u - 2*b = -23. Calculate the least common multiple of u and 3.
3
Let p(m) = -m**2 - 8*m - 10. Let x be p(-7). Let k be -1171*(x - 78/(-27)). Let d = k + -131. Calculate the common denominator of d and -14/11.
99
Let c(b) = 3*b - 20. Calculate the least common multiple of 30 and c(8).
60
Suppose 4*t - 3*z + 2*z - 1 = 0, -3*z = 3. Let r be -5*(-2 + t + 5). Calculate the smallest common multiple of ((-6)/r)/((-2)/(-90)) and 2.
18
Let q = -18 - -30. Find the common denominator of 2 - (-1 - (-106)/q) and -20/9.
18
Let m = -7355/46 + 160. What is the common denominator of m and 21/2?
46
Let j = -18/109 + 4613/872. Find the common denominator of -70/3 and j.
24
Suppose x = 6*x - 40. Calculate the lowest common multiple of x and 4.
8
Suppose -2*q + 12 = -q. Let y = q - 10. What is the lowest common multiple of y and 22?
22
Let h(w) = -w**3 - 7*w**2 - w - 7. Let p be h(-7). Suppose p = 2*j - 16 - 12. Let y = 36 - 16. What is the smallest common multiple of j and y?
140
Let o(c) = -36*c. Calculate the least common multiple of 20 and o(-1).
180
Let q be (-3 - 0) + 1049/345. Let r = 21847/2760 - q. Find the common denominator of -7/9 and r.
72
Suppose 0 = -2*y + 4*c + 22, y + 8 = -4*c - 5. Suppose -y*r + 7*r - 8 = 0. What is the lowest common multiple of 7 and r?
14
Suppose 3*x - 119 = -2. Let j = -2/573 - 41825/1146. What is the common denominator of j and x?
2
Let a = 5 - 5. Suppose -r = -a*r - 2. Suppose -5*h - 2*d + 19 - 5 = 0, 0 = -h - 3*d + 8. Calculate the least common multiple of r and h.
2
Find the common denominator of 53/22 and 492/64*(-8)/18.
132
Let o be 16/20 - (-62)/10. Suppose o*m - 48 = 92. What is the smallest common multiple of m and 6?
60
Suppose 0 = -5*x + 5 + 55. Let r = x + -9. Let d(z) = z**2 - 4*z + 5. What is the least common multiple of r and d(4)?
15
Suppose 3*v + 5*y = 249, -2*v + 129 + 37 = 2*y. Let u = v - 671/8. Find the common denominator of u and (34/10)/((-2)/3).
40
Let m = 1 - -7. What is the smallest common multiple of (-20)/(-6) + -3 + 295/15 and m?
40
Let v = 95 + -46. Let x = -1/465 + -19061/1860. Calculate the common denominator of v and x.
4
Let b = -1/1727 - 8484/260777. Let c = b + -9493/604. Let u = 11 - 8. What is the common denominator of u and c?
4
Calculate the common denominator of 46/(-4) - -1*2 and (17/21)/(42/63).
14
Let k = -14540/11 + 1323. Suppose 0 = -3*x + 63 + 117. What is the common denominator of k and ((x/(-8))/5)/12?
88
Calculate the common denominator of -11/14 and 0 - 1 - (-438)/(-60).
70
Let i(w) = w**2 - w + 22. Suppose -5*d = -14 - 6. What is the least common multiple of i(0) and d?
44
Calculate the lowest common multiple of (3 - 1)*-6*5/(-20) and 10.
30
Let c(t) = 2*t + 50. What is the least common multiple of 22 and c(-9)?
352
Let o be ((-4)/14)/(2/(-14)). Let h = -7 + 13. What is the smallest common multiple of h and (-7)/(14/(-36)) - o?
48
Let m(w) = | {
"pile_set_name": "DM Mathematics"
} |
1 + 3. Let x = f - 4. Let a(p) = -25*p**2 - 6*p - 3. Let m(c) = 8*c**2 + 2*c + 1. Let i(z) = x*a(z) - 7*m(z). Calculate i(-1).
-5
Let u(b) = -7*b**3 - b - 3*b + 18*b**3 + 3*b + b**2. Determine u(1).
11
Let f(y) = y**2 + y + 1. Let n(g) = g + 6*g**2 - 3 + g - 3*g**2 + g. Let m(r) = -2*f(r) + n(r). Give m(0).
-5
Suppose 2 = -4*h + q - 17, 4*q = -4*h - 4. Let l(d) = -d - 8. Determine l(h).
-4
Let y(s) = -s**3 - 4*s**2 + 4*s. Suppose 2*t = -0*t + 28. Let v be (-63)/t - 2/4. What is y(v)?
5
Let x(v) = 5*v - 2 - v**2 + 5 - 2. Suppose 5*z - t - 2*t = 33, 20 = 4*z + 4*t. What is x(z)?
-5
Let d(l) = -l**3 - 7*l**2 + 2*l + 8. Let q be d(-7). Let g(b) = b**2 + 6*b. Give g(q).
0
Let f(w) = -7*w - 2*w + 3*w. Suppose -16 = -3*u - u. Suppose -u*r - 5 = r. Give f(r).
6
Suppose 2*l - 10 - 2 = 0. Let t be (-2 + l/4)*-2. Let f = 3 - t. Let x(v) = 2*v**3 - 4*v**2 + 3*v. Give x(f).
6
Let m(z) = -2*z - 6. Let h be 48/15 - 1/5. Suppose -7 = y + 3*x, y = -2*x - h - 3. Determine m(y).
2
Let h(d) be the third derivative of -d**5/60 - d**4/12 - d**3/2 + d**2. Suppose 5*l = -4*m + 3*m - 29, 0 = 2*m - l + 3. What is h(m)?
-11
Suppose -3*g + 15 = -6*g. Let j = 7 + g. Let p(z) = -2*z**j + 3*z**2 - 4*z**3 - 2*z**2. What is p(1)?
-5
Let n = 31/2 + -15. Let w(z) be the first derivative of 0*z**3 + 2 + 1/4*z**4 - n*z**2 + z. Calculate w(2).
7
Let s(o) = 2 + 0*o**2 - o**2 - 6*o - 2 - 2. Determine s(-6).
-2
Suppose 6 = -2*q, -2*z - 5 = 2*z + 3*q. Suppose 4*w = 16, 0 = 3*g - 3*w + 5 + z. Let y(v) = -v**2 + v - 2*v - 2 + v**3 + 2*v. Give y(g).
4
Let r(m) be the third derivative of -m**4/24 - m**3/3 - 2*m**2. Let x = -3 + 3. Calculate r(x).
-2
Let p be (-13 + 0)/(-1) + 0. Let v(h) be the second derivative of h**5/20 - 13*h**4/12 + h**2 + 2*h. Let k be v(p). Let b(m) = 2*m**2 - m - 2. What is b(k)?
4
Suppose 16 + 2 = 3*j. Let o(x) = -2*x + 9. What is o(j)?
-3
Let c(p) = -p - 4. Let d(f) = f**2 - 5*f + 3. Let w be d(3). Give c(w).
-1
Let y(h) = -9*h**3 - h**2 - h. Let w = -14 - -13. What is y(w)?
9
Let m be 0 - (-1)/(3/(-15)). Let u = 4 - 6. Let n(o) = -5*o + 31. Let f(q) = -q + 8. Let g(w) = u*n(w) + 9*f(w). Give g(m).
5
Suppose -2 = 4*j + 14. Let c(r) = -2*r**3 - 8*r**2. Let m(t) = 3*t**3 + 12*t**2. Let o(l) = -7*c(l) - 5*m(l). Give o(j).
0
Let t(w) be the first derivative of -w**4/4 - 2*w**3 + w**2 + 7*w + 2. What is t(-6)?
-5
Let s(c) = 1 + 0*c**3 - 11*c**3 + 0 - 2*c**2 + c**2. Calculate s(1).
-11
Suppose -4*t + 3*i - i + 8 = 0, 0 = -5*t - 5*i - 20. Let q(h) = -2 + t + h**2 - 3*h + 0*h**2 + 4. What is q(2)?
0
Let l(z) = -z**3 + z**2 + 5*z - 4. Let b be -2*(-1 - 3/(-2)). Let g = b + 17. Suppose -4*q = 4 - g. What is l(q)?
-7
Suppose -2*c = 5*v - 4*c + 32, 3*c - 3 = 0. Let o = 1 + v. Let m(d) = d**2 + 5*d + 5. Determine m(o).
5
Let q(b) = 4*b**3 - 25*b**2 + 21*b + 3. Let h(l) = -l**3 + 6*l**2 - 5*l - 1. Let m(i) = 9*h(i) + 2*q(i). Suppose -2*u + 3 = -5. Let n = -1 + u. Determine m(n).
-3
Let p(q) = q**3 - q**2 + q + 1. Let z(x) = -7*x**3 + 12*x**2 - 12*x - 6. Let k(j) = -6*p(j) - z(j). Suppose -3*b = -2*b - 4. What is k(b)?
-8
Let n(a) = -3 - 2*a + 3. Let k(v) = -v**3 - 7*v**2 + 9*v + 4. Let q be k(-8). Let w be 2*(q/2 + 0). Determine n(w).
8
Let a(f) = 5*f**2 + 60 + 6*f - 56 + f**3 - 10*f. Calculate a(-6).
-8
Let k(j) = j**2 - j - 3. Suppose 5 = -m + 8. Calculate k(m).
3
Let k be (1 - 2)*(-4 + 1). Let y(l) = -5*l - 3 + 2 + 3*l - 3*l**2 - l**k. Let x be (-4)/(-6) - (-11)/(-3). What is y(x)?
5
Suppose -4*o = 12 + 8. Let n be (1 + 6)*1/1. Let c(i) = -n - 4*i + 6*i - 4*i. Calculate c(o).
3
Let l(p) = 0 + 8*p + 1 - 7*p + 0*p. Calculate l(2).
3
Let o(b) = 0*b + 7*b**2 + 2*b**3 - 5*b - 3*b**3. Suppose 23*h - 22*h = 6. What is o(h)?
6
Suppose -5*w = -4*w. Let x = w - 3. Let j(s) = 3*s**2 + 2*s**2 + s**3 - 2*s**2. What is j(x)?
0
Let u(b) = -7*b - 3. Let w(t) = -14*t - 7. Let c(q) = -5*u(q) + 2*w(q). Suppose 2*n = 8 - 6. Determine c(n).
8
Let g = 4 + -2. Let w(v) = -4 - v**3 + 3*v - 2*v**2 + 3*v + 5*v**g. Let m = -1 + 5. Give w(m).
4
Let t(u) = u**3 + 4*u**2 + 3*u + 4. Suppose 6*r - 9 = -27. What is t(r)?
4
Let r(f) = 25*f**2 + 9*f + 15. Let c(u) = 12*u**2 + 4*u + 7. Let h(l) = 13*c(l) - 6*r(l). Give h(1).
5
Let r(g) = -1 - 8*g**2 + 9*g**2 + g + 4*g + 5. Let s(i) = -i**2 + 7*i - 9. Let b be s(6). Give r(b).
-2
Let p(r) = r - 2. Let h(i) = -i + 1. Let l(w) = -5*h(w) - 6*p(w). Let c be l(5). Let f(d) = d**2 + d - 1. Calculate f(c).
5
Let u(z) = -1 - 4 + 3*z + 4 - z**2 - 4*z. Give u(-3).
-7
Let g(r) = -r**3 + 0*r**2 - 4*r + 2 + r**2 + 2*r**2. Give g(2).
-2
Let b = 1 - -3. Suppose -3*d - 8 = -2*u, -4*d + b*u = -d + 4. Let l(i) = -i - 9. Calculate l(d).
-5
Let a(m) = m - 8. Let r be a(11). Suppose -r*y + 1 = 4. Let i(t) = -13*t**2 - t. Determine i(y).
-12
Let m = 79 + -74. Let f(y) be the third derivative of y**4/24 - 11*y**3/6 + 2*y**2. Calculate f(m).
-6
Let s be (4/6)/2 - 10/3. Let w(z) = -z - 5. Give w(s).
-2
Let y(h) = h**3 + 6*h**2 + 4*h - 2. Suppose 3*u - 7 = -a - 2, 3*u + 3 = 0. Let p = a - 14. Let z be p/27 + (-129)/27. What is y(z)?
3
Let j(n) = n + 78 - 87 - 3*n. Determine j(-6).
3
Let q(a) = 6 + 6*a**2 - 3*a + 0*a + a. Let v(u) = 2*u**2 - u + 2. Suppose -y + 5*j + 5 = 0, 2*j + 11 + 18 = -5*y. Let m(x) = y*q(x) + 14*v(x). Determine m(-3).
-8
Let b = -9 + 21. Suppose -a = a + b. Let c(t) = t**3 + 5*t**2 - 5*t - 8. Calculate c(a).
-14
Let x(t) be the first derivative of 2*t**3/3 - 2*t + 2. Let a = 5 - 7. Give x(a).
6
Let q(t) be the first derivative of t**3/3 - 9*t**2/2 + 10*t + 2. Determine q(8).
2
Let t(d) be the third derivative of d**5/60 + 5*d**4/24 - 5*d**3/6 - 46*d**2. Give t(-4).
-9
Let x(f) = -f**3 + 4*f**2 + 8*f - 4. Let t = 24 + -25. Let l = 4 - t. Determine x(l).
11
Let u(n) be the first derivative of 0*n**3 - n + 3 - 1/2*n**2 + 1/4*n**4. Calculate u(0).
-1
Let j(n) = -5*n**3 - 3*n + n**3 + 3*n**3 - 5 - 5*n**2. Let k be (-3)/(6 - -3) - (-22)/(-6). What is j(k)?
-9
Let s(j) = -j**3 + 5*j**2 - 2*j + 1. Let y(p) = p**2 + 8*p + 5. Let z be y(-6). Let n = z + 11. Determine s(n).
9
Suppose a - 3*d + 10 = 0, -2*a - 5*d = -2*d - 16. Let f(q) = -4*q - a*q + q**2 + 2 + 3*q. Calculate f(4).
6
Let i = -18 + 14. Let d(p) = p + 2. Determine d(i).
-2
Let p(b) = -b + 1. Let x be p(1). Suppose 0 = -d - 3*d + 12. Let r(l) = l - l**3 - 1 + d - 1. Determine r(x).
1
Let d(l) = -4*l**2 - l. Let p(r) = r**3 - 12*r**2 + 2*r - 23. Let h be p(12). Determine d(h).
-5
Let y(f) = 9*f + 2. Let h(i) = 10*i + 2. Let d = 3 + -10. Let w(m) = d*y(m) + 6*h(m). Suppose 0 = 3*n - 2*g, 5*n + 2*g + 6 + 10 = 0. Determine w(n).
4
Let j(m) = -3*m**3 - 3*m**2 - 4*m - 2. Let d be j(-2). Suppose v = -2*v + d. Let q(c) = c**2 + 2*c - 3*c + v*c**2. What is q(1)?
6
Let q = 11 + -6. Suppose -s - 5*z + 40 = -5*s, -q*z + 30 = -2*s. Let u(o) = 3*o**2 - 11*o - 1. Let w(a) = -a**2 + 5*a. Let i(d) = -2*u(d) - 5*w(d). Give i(s).
-8
Let k(l) = -9*l**3 - l**3 - l**2 - 2 + 12*l**3 - l. Suppose 6 = 2*d + 2. Give k(d).
8
Let p(v) = 2*v**3 + 0*v**2 - 3*v**2 + 1 + 0*v + 0*v**3 + 2*v. What is p(2)?
9
Let r(m) = -3*m**2 + 2*m + 1. Suppose 0*h - 16 = -4*h. Suppose 0 = -n - 4*j + 9 - 3, -h*j + 4 = 0. Let c be ((-2)/(-4))/(n/(-4)). Determine r(c).
-4
Let q(s) = s**2 - 3*s + 4. Let d(g) = -g - 3. Let c be d(3). Let k(r) = -r + 4. Let l be k(-6). Let p be (-115)/(-25) + c/l. Calculate q(p).
8
Let v(b) = -6*b + 1. Let r be v(1). Let u(o) = -2*o - 5. What is u(r)?
5
Suppose -9 = -2*h - 5. Let u(z) = -z**3 + z**2 - z + 2. Give u(h).
-4
Let n(m) = -4*m + 9. Let q(b) = 2*b - 4. Let v(c) = -6*n(c) - 13*q(c). Let x = 7 + -11. Calculate v(x).
6
Let k(l) be the third derivative of -l**4/24 - 7*l**3/6 + 3*l**2. What is k(-5)?
-2
Let k(o) be the second derivative of -5/2*o**2 + 3*o + 0 + 1/3*o**3. Give k(4).
3
Let n(r) be the first derivative of r**4/4 + 6*r + 2. Suppose 4*d = 5*c + d - 2, -5*c - 14 = d. Let y = -2 - c. Give n(y).
6
Suppose -3*k + 8*k = 0. Suppose k*z - 3*z = 12. Let f(x) = 3*x + 5. What is f(z)?
-7
Let b(y) = -4*y**3 + 2*y - 1 + 5*y**3 - 5*y**2 + 5 + y. Suppose -u + 2*u = 3. Determine b(u).
-5
Let w(z) be the third derivative of z**5/60 + z**4/8 + 2*z**3/3 - 2*z**2. Let x be w(-3). Suppose l + x = 3*l. Let k(q) = -q**3 + 2*q**2 + q. Determine k(l).
2
Let r(b) = 4*b**3 + 8*b**2 + 6*b - 5. Let c(g) = -3*g**3 - 7*g**2 - 5*g + 5. Let v( | {
"pile_set_name": "DM Mathematics"
} |
the smallest common multiple of 24 and y?
72
Calculate the common denominator of (-8)/14 - (18 - (-140550)/(-7602)) and 16/51.
9231
Let o(l) = l**3 + 4*l**2 - 10*l. Let k be o(-8). Let d = 180 + k. Calculate the smallest common multiple of d and ((-5)/(-25))/(1/5).
4
Let m = 291221409 - 4028465767102/13833. Let x = 10/477 - m. Calculate the common denominator of x and (5 + -6)*(-7 + 678/12).
58
Let a be 54742/(-28) - 17/((-357)/12). Let n = -17665/9 - a. Find the common denominator of 58/33 and n.
198
Calculate the least common multiple of 16 and (1652/6 - 8/6) + -2.
272
Suppose 5*q - 176 = -2*j, -6*j = -3*j - 3*q - 285. Let v be ((-35)/21 - -2) + j/5. Let f = -47/6 + v. Calculate the common denominator of -15/151 and f.
1510
Let p(f) = f**3 + 6*f**2 + 2*f - 5. Let b be p(-5). Calculate the common denominator of (-6)/b - 8/(2400/(-1970)) and -173/30.
30
Suppose -5*u + 10438 = -y - 40817, 4*u = -5*y + 41004. Let q = 369149/36 - u. What is the common denominator of 11/36 and q?
36
Let m(l) be the first derivative of -1333*l**4/4 - l**3/3 + l**2 - 3*l + 1. Let d be m(2). Let c = d - -170573/16. Find the common denominator of 133/12 and c.
48
Calculate the common denominator of 13823278/532168 - (23 - -3) and 53/1548.
20124
Let k = -583 - -633. Let t = -320/9 - -224/9. Calculate the common denominator of ((-12)/18)/(-4 + 165/k) and t.
21
Calculate the common denominator of 61/826 and (-190)/105*((272952/(-7552))/(-9) - 4).
3304
Calculate the lowest common multiple of 3336 and 12 - 72/(60/(-10)).
3336
Let b = -9195 - -9219. Calculate the least common multiple of 116 and b.
696
Let w be 2 + (-53755)/7679 + 135/27. Let b = -468399/76790 + w. Calculate the common denominator of b and -91/50.
50
Suppose 222*i - 177*i - 315 = 0. What is the lowest common multiple of 1827 and i?
1827
Let c = -7699 + 7993. What is the smallest common multiple of c and 448?
9408
What is the common denominator of (19422/(-1040) - -22)/(36/16) and -107/520?
4680
Let s = -15306 + 15790. Calculate the least common multiple of 462 and s.
10164
Let o(s) = 3*s**3 - 9*s**2 + 7*s + 14. Let v be o(-4). Find the common denominator of -103/12 and (-56)/(-140)*v/(-144).
36
Suppose 4*y + 10 = 9*y. Suppose -3*u + 2*j = -4*u + 71, 0 = y*j - 8. Find the common denominator of 37/22 and u/(-12)*153/(-162).
264
Let b(n) be the second derivative of 3*n**5/20 + n**2/2 - 26*n. Let s be b(1). Suppose 26 = 6*x - s. What is the least common multiple of x and 8?
40
Let z(t) = -5*t. Suppose -3*f + 15*x = 12*x - 156, -x - 244 = -5*f. Suppose 0*b = -4*b + f. What is the lowest common multiple of b and z(-3)?
60
Suppose -8*g + 7*g + 27 = -u, -3*g = 5*u - 105. Calculate the least common multiple of 60 and g.
60
Calculate the common denominator of 3/6 - (-3 + (-3224)/(-880)) and -63/1475.
16225
Let b be 54706/204*34/1052. Let s = b + -22/263. Find the common denominator of 53/27 and s.
108
Let r = -27 + 32. Suppose 11 = 2*j + r*g - 4*g, -3*g + 25 = 4*j. Calculate the common denominator of -29/6 and (j/10)/(-1) + (-4147)/195.
6
Let g = -1595 + 3649. Suppose -5*j - 4*s + g = -344, 3 = -s. What is the smallest common multiple of 22 and j?
5302
Let m = -15038377/75829800 + -2/126383. Find the common denominator of m and -139/180.
1800
Let x = 469/80 - -511/16. Let y = x - 3299/80. Calculate the common denominator of 46/14*(-4)/8 and y.
112
Let y(m) = -483*m. Let w be y(1). Let v be w/(-308) + (-1)/(-4). Let o = -1681/132 + v. Calculate the common denominator of 47/14 and o.
84
Suppose -5*q = -q + 32. Let m = q + 18. Suppose -u = -1 - 3. What is the lowest common multiple of u and m?
20
Suppose 48 + 120 = -14*n. What is the smallest common multiple of 91 and (-2 - n/(-8))/(10/(-140))?
637
Suppose -y + 446 = 3*m, -615*y + 611*y = -5*m - 1750. Calculate the smallest common multiple of y and 1040.
11440
Let b = -4883/10 + 497. What is the common denominator of b and -31/10?
10
Let l(a) = -4*a - 8. Let g be l(9). Let c = -36 - g. Calculate the lowest common multiple of c and (-4)/(-3)*63/14.
24
Let i = 250639/30 - 8353. What is the common denominator of i and -85/84?
420
Suppose 0 = -3*n - 4*z + 38, 2034*n + 14 = 2033*n + 2*z. Let s = -10 - -21. Calculate the least common multiple of s and n.
22
Let g(j) = -11*j - 1526. What is the least common multiple of 136 and g(-139)?
408
Let v be -4 - (-57)/15 - (-1)/5. Let f = v - -1. Let x(j) = -j - 3. What is the least common multiple of f and x(-5)?
2
Let d(u) = -7*u**2 + 3*u + 7. Suppose 3*n - 24 = 9*n. Let f be d(n). Calculate the common denominator of -29/10 and (-1 - 10/8)/(f/150).
130
Suppose 2*o = -2*i + 554, -i - 8*o = -13*o - 307. Suppose -5*u - 3*a + 2*a = -i, a - 225 = -4*u. Calculate the smallest common multiple of 9 and u.
171
What is the common denominator of 3 - (-53780)/(-17400) - 0/1 and 43/348?
1740
Suppose 477*f - 481*f + 48 = 0. Calculate the smallest common multiple of f and 9776.
29328
Let g = -93019/7 - -13290. What is the common denominator of g and 71/108?
756
Let s(g) = -g**3 - 11*g**2 + 9*g. Let a be 6/14 + 4 + 570/42. Let v be (-2)/6 + (-210)/a. What is the least common multiple of 2 and s(v)?
36
Let j = 72731/2149416 + 3/26536. Find the common denominator of j and 83/297.
3564
Let b = 25108 + -10824. What is the smallest common multiple of 4 and b?
14284
Let n(y) = -y**3 - 25*y**2 - 119*y - 63. What is the least common multiple of n(-19) and 480?
480
Let c(k) = 16*k**2 - 7*k - 18. What is the least common multiple of c(-4) and 10?
1330
Let k = 52103/8 - 6524. What is the common denominator of (-1)/((-12)/(-7))*(-54)/459 and k?
408
Suppose 5*g - 25 = 2*q + 6, 2*q = 3*g - 21. Let r be 1 - (q/3 - 2) - 3. Calculate the common denominator of 19/11 and r*2/8*(12 + -91).
44
Let f(z) = -2*z**3 - 14*z**2 + 11*z + 72. Calculate the least common multiple of 63 and f(-8).
1008
Suppose 29*l - 132 = -16. Suppose -5*c - 443 = -l*d, 2*d - c = 190 + 33. Calculate the smallest common multiple of 28 and d.
112
Find the common denominator of ((-84)/(-64))/((-15)/(-68)) and (1*3/33)/1 - (-155021)/4378.
20
Let s = -21 - 197. What is the common denominator of 132/(-20) - -7 - s/(-20) and 15/59?
118
Suppose 0 = 3*g + b - 24, 4*g - 9*g + 40 = -3*b. What is the smallest common multiple of 2 and g/2 + (-632)/(-4)?
162
Find the common denominator of 13/380 and (6/(-32))/((-3555)/10586).
2280
Let j = 30373 - 1518767/50. Let r = 185465601/440237 + -6/62891. Let b = 29917/70 - r. Calculate the common denominator of j and b.
50
Suppose -2*b + 3*o + 93 = -48, 4*b - 3*o - 279 = 0. Suppose b = -v + 77. What is the lowest common multiple of v and 2?
8
Suppose -16*q + 37*q = 4137. Let y = 242 - q. What is the least common multiple of y and 15?
45
Let j(g) = g**2 + g + 2. What is the smallest common multiple of j(3) and 26*(495/(-15))/(-11)?
546
Suppose -358 = -122*q + 1350. Calculate the lowest common multiple of (-1)/((-1)/50) - 2 and q.
336
Let a = 11 - -19. Let s = a - -41. Suppose 0 = -3*t + l + s, -24 - 26 = -2*t - 2*l. What is the lowest common multiple of t and 33?
264
Suppose 0 = 14*q - 9*q. Let b = -129 - -101. Calculate the common denominator of q + -3 - 2*(-40)/b and -127/6.
42
Suppose -2*i - 1018 = -8*i + 3338. Calculate the smallest common multiple of i and 2541.
5082
Let l = 458 + -454. Let g(q) = q**3 - q**2 + q + 1. Let t be g(0). Let m(n) = 21*n**2 - 1. Calculate the least common multiple of l and m(t).
20
Find the common denominator of (-1344)/288*(-110)/25935 and -71/8.
17784
Let i = 73 - 280. Let v = i - -227. What is the smallest common multiple of 35/2*4/5 and v?
140
Let g be 1 + (1 - 0)*-271. Let b = -265 - g. Calculate the smallest common multiple of 26 and b.
130
Let s = -83/28 + 311/28. Let p(w) = w**3 - 13*w**2 - 2*w - 17. Let x be p(12). Let b = x + 1751/10. What is the common denominator of s and b?
70
Let s(c) = 2*c**2 - 9*c - 28. Let n be s(7). Suppose 0 = -3*j - n + 79. Let y = 27 - 7. What is the smallest common multiple of j and y?
120
Find the common denominator of (2/8)/(189/(-84))*246/(-14) and 2/(-5) - 4/21.
105
Let x = -70 + 112. Let h = x - 48. Find the common denominator of -1*163/105 + h/(-10) and 17/12.
84
Find the common denominator of -53/351 and 8383/13130*(-5)/21.
4914
Suppose 590 + 274 = 4*d. Calculate the smallest common mult | {
"pile_set_name": "DM Mathematics"
} |
s the third biggest value in -0.5, 4.991, -7?
-7
Which is the third biggest value? (a) -533/10 (b) -1/7 (c) -1.63 (d) 2 (e) -0.01
b
Which is the fifth biggest value? (a) 91/2 (b) 4 (c) 7291 (d) 0.04 (e) -1/11
e
What is the smallest value in 5, -12/29, -9, -0.1, 4/19?
-9
Which is the fifth biggest value? (a) 2/7 (b) 1.9 (c) -28 (d) 134 (e) 1
c
What is the third smallest value in 13/3, -587, 5, -34?
13/3
What is the second smallest value in 0.4, 9.54, 31641?
9.54
What is the second smallest value in 0.012, 6.7, -4358/3?
0.012
Which is the smallest value? (a) 0.1 (b) 1 (c) 0.2 (d) 0.7 (e) 13 (f) -0.2 (g) 602
f
Which is the smallest value? (a) -2/13 (b) 0 (c) 1/5 (d) -4/5 (e) -1.2 (f) 2.82 (g) -58
g
Which is the second smallest value? (a) 0.01 (b) -531/9641 (c) -3
b
What is the fourth biggest value in 1/7, 63557, 130, 4?
1/7
What is the fourth biggest value in 10/139, 127, -0.3, -1/4, -0.1?
-1/4
What is the third smallest value in 10, -5, 0.3, -0.0428, -4.5, -1?
-1
What is the smallest value in -5, -3, 497404, 2?
-5
What is the smallest value in 1/73, 13.6, 0.24, -25?
-25
What is the second biggest value in 98/3, 47, -9/4, -2/5, -42?
98/3
Which is the second biggest value? (a) 2.464 (b) -1.9 (c) 29
a
What is the fourth biggest value in -77, -3/58, 0.3, -1/12, 1/4?
-1/12
Which is the third smallest value? (a) -8678 (b) 8 (c) 7 (d) -2/7
c
Which is the biggest value? (a) 2 (b) -28 (c) -1 (d) -8/17 (e) -3
a
What is the second biggest value in -0.4, 115, -183132?
-0.4
What is the smallest value in 1/11, 0.5, -0.2, -0.118057615?
-0.2
Which is the biggest value? (a) -35 (b) 695.392 (c) 1/11
b
What is the fourth biggest value in 29, 0.85, -224, 3/5, -2, -6?
-2
Which is the seventh biggest value? (a) -2 (b) 0.7 (c) 0.4 (d) 5 (e) -1/191 (f) -5 (g) 5/7
f
What is the second biggest value in 0, -1/5, 0.01, 1, -2, 2, 921?
2
What is the fourth biggest value in 21487, -118, -4/7, 0.2?
-118
What is the fourth smallest value in 36764, -1/4, 2/83, 2?
36764
Which is the second smallest value? (a) 4/5 (b) 29/27 (c) 1.353
b
What is the fourth biggest value in -2/9, 0.11, 0.6, 37, 11, 14?
0.6
What is the smallest value in 2/5, -3, 50, 0.3, 8/53, 55/7?
-3
What is the biggest value in -8, 1/2, 15, 4/3, -2, -6/53, 0.4?
15
Which is the biggest value? (a) -0.3 (b) -246241089 (c) -1/5 (d) -3
c
Which is the third smallest value? (a) -1 (b) 5 (c) 0.1 (d) -3 (e) 10659 (f) -1/2
f
What is the smallest value in 2/5, 16634, -3/4, -5, -1/5, 1/6?
-5
What is the biggest value in -23/43686, -2, 2?
2
Which is the fifth biggest value? (a) -11 (b) -0.4 (c) -792004 (d) 2/7 (e) 5
c
What is the second smallest value in -0.11, 4, -2, 3059, 5, -2/7?
-2/7
Which is the second biggest value? (a) -21 (b) 1.2877 (c) -0.06 (d) -2/5
c
What is the fourth smallest value in 48, 13, -0.4, -2304?
48
Which is the second smallest value? (a) 3.7 (b) -324 (c) 6/5 (d) 3/8 (e) 0 (f) 0.08
e
What is the seventh smallest value in -10, -1/2, -1, 221, -3/2, -2, -0.4?
221
What is the third smallest value in 8/3, -76086/13, 4?
4
Which is the smallest value? (a) 471 (b) 1/41 (c) -10.27
c
Which is the sixth smallest value? (a) -1 (b) -0.5 (c) -2.2 (d) -446 (e) -1/4 (f) -0.05 (g) 1/3
f
Which is the smallest value? (a) -4/3 (b) 0.1 (c) 1910/3 (d) -2/89 (e) 2/17 (f) 1/3 (g) -0.4
a
What is the biggest value in -7875, -3/5, -0.1, 3, -4/3?
3
Which is the smallest value? (a) -660/43 (b) 607/5 (c) 0 (d) -0.1
a
Which is the third biggest value? (a) 1/3 (b) 4589 (c) -58 (d) 23 (e) 5
e
What is the third smallest value in -25, 0.088, 641, -2?
0.088
What is the fifth smallest value in -105, 1, 0.4, -1/9, -1, 16/9?
1
Which is the third biggest value? (a) -1/2 (b) -4 (c) -1/7 (d) -1/5 (e) -1090/7 (f) -2/3
a
What is the fourth biggest value in 3, 2/5, -124/3, -2/163?
-124/3
What is the third biggest value in -12/17, -0.2, 0.5, -0.1663, -2/23, -5, 3?
-2/23
What is the fifth biggest value in 0.15, -0.4, -29, 2/3, -1, 0.055?
-1
What is the third smallest value in -19, 2/78935, -0.5?
2/78935
What is the fifth smallest value in -39, -2/7, -15, 2.75, 5/6?
2.75
What is the third biggest value in -2.5, 0.185, 3, -4, -3/2, 0.1, -19?
0.1
Which is the second biggest value? (a) -12 (b) 1 (c) -0.129316 (d) 0.5
d
What is the smallest value in 157, -2, -3, 1, -0.2, 0.1, 5?
-3
Which is the second biggest value? (a) 0.1 (b) -11/4 (c) -1/2 (d) -2/3 (e) -131 (f) -0.2
f
What is the third biggest value in 8026, 6, -341, -1/6?
-1/6
Which is the smallest value? (a) -4 (b) 2/3 (c) 50 (d) -3 (e) -270 (f) 5
e
What is the second biggest value in 0.0089, 0.2, -189, 0.3?
0.2
What is the fifth smallest value in 1, -7, -1, -327, -5?
1
What is the smallest value in 23, 138809, -9?
-9
Which is the seventh biggest value? (a) 0.5 (b) -106/13 (c) -1/4 (d) -10/21 (e) 1/4 (f) -1 (g) -7
b
What is the second biggest value in -4, 103, 1/130, -14?
1/130
Which is the smallest value? (a) -0.1 (b) 0 (c) -100 (d) 1/2 (e) 5 (f) 0.2 (g) -528
g
Which is the second smallest value? (a) -0.1 (b) -2 (c) 4/21 (d) 1 (e) 0.16 (f) 2/3 (g) 29/6
a
What is the second smallest value in -4/7, -0.48, 44/405555?
-0.48
What is the seventh smallest value in 2/19, 0, 2/3, 288, -5.3, -2, -0.5?
288
What is the fourth smallest value in -0.12, -30.87, 1/4, 26?
26
Which is the smallest value? (a) 13 (b) 27 (c) -2 (d) 0.5 (e) -4 (f) 39 (g) -252
g
Which is the smallest value? (a) 3 (b) 36 (c) 0.1492 (d) -36
d
Which is the second smallest value? (a) -2.69 (b) -0.5 (c) 0.4 (d) 9/206
b
What is the second smallest value in 0.2, 0, 0.1, 5/13, -1.466?
0
What is the fifth smallest value in -2/11, -166, -3.15, -70/11, -4?
-2/11
Which is the second smallest value? (a) 0 (b) 3/2 (c) -18.8064 (d) 7/3
a
What is the fourth smallest value in 4, -4, 2.782, 162?
162
Which is the third smallest value? (a) -1/4 (b) -0.2 (c) -4/335 (d) 20/33
c
What is the fourth smallest value in -43, 144, -3, -15, 1?
1
Which is the fourth smallest value? (a) 3/5 (b) -3 (c) 4/9 (d) -85 (e) 486
a
What is the third smallest value in -0.0498, 2, 303/3923?
2
What is the third smallest value in 7, -6/11, -5729?
7
Which is the smallest value? (a) -1 (b) 2/9 (c) -17904/7
c
Which is the biggest value? (a) 5/6 (b) 152523 (c) -120
b
Which is the second biggest value? (a) 1019 (b) -58 (c) 0.1066
c
Which is the sixth smallest value? (a) 1699 (b) -44 (c) -1 (d) -133 (e) 0 (f) 0.3
a
What is the third biggest value in -3/7, -22, 3/80, -485, -5, -2?
-2
What is the third smallest value in 167, -2, -23, 470?
167
Which is the second biggest value? (a) 2.3 (b) -1.5521 (c) 0.04 (d) -2
c
Which is the smallest value? (a) -1/4 (b) -1/7 (c) 0 (d) -21628 (e) -404
d
What is the biggest value in 5, 3, 4, -384, 35.1, 1.4?
35.1
What is the third biggest value in -774, -1/6, -0.5, 5, 2617/3, -0.1?
-0.1
What is the biggest value in -1.1, -0.4, 37/7, 1/32, -2/67?
37/7
What is the third biggest value in 2/171, 0.1, 13, 1, -10, -3/4, -0.2?
0.1
What is the smallest value in 12/30511, 2, -2?
-2
What is the second smallest value in 625, -4, -5, 19.403?
-4
Which is the second biggest value? (a) 0.05 (b) -45361 (c) 2/7 (d) -1 (e) -4 (f) -1/3 (g) 3
c
What is the biggest value in -22/97, -3, -1191?
-22/97
Which is the fifth smallest value? (a) 0.3 (b) 130 (c) -226/15 (d) -1 (e) 1/3
b
Which is the third smallest value? (a) -0.13 (b) -323 (c) -2/5 (d) 1 (e) 10/17 (f) 1/3
a
Which is the fourth biggest value? (a) -3 (b) 4 (c) 5 (d) 5.13088
a
Which is the smallest value? (a) -53 (b) 1/6 (c) 2 (d) -3 (e) 4/3 (f) -0.104 (g) 4
a
What is the fifth biggest value in -1/7, 19, 3, 0.2, -0.5, -26?
-0.5
What is the third smallest value in -2, -0.35, -23, 1.14, 3?
-0.35
What is the fourth smallest value in -9/19, -0.075, 2/5, -0.04, -0.02, -1/6?
-0.04
What is the third smallest value in 13/15051, -1.65, 3?
3
What is the fourth smallest value in 32.4, -1/2, 2/11, -4.8, -0.414?
2/11
What is the second smallest value in 2/17, -12.4, -1/3, -23?
-12.4
Which is the biggest value? (a) -1 (b) 1498125 (c) -0.04
b
What is the second smallest value in 2373, 0.374, -0.4, -5?
-0 | {
"pile_set_name": "DM Mathematics"
} |
?
False
Suppose 16*p + 4*q - 3391 = 13*p, -p + 1137 = 3*q. Suppose 121*j - 116*j = p. Is j a multiple of 15?
True
Let a(h) = 2*h**2 - h + 9. Let r be a(3). Is 61 a factor of ((-56)/r + 3)/(1/885)?
False
Let s(z) = 14949*z - 1181. Is s(1) a multiple of 11?
False
Let h = 599 - 596. Is 2 a factor of 153 - h - (-30)/6?
False
Let a(w) be the second derivative of 5*w**4/4 + 37*w**3/3 + 7*w**2/2 + 4*w - 2. Does 4 divide a(-6)?
False
Suppose 29489*h - 29475*h - 20084 = 23176. Is h a multiple of 3?
True
Let j(h) = -8*h + 20. Let o = 14 - 12. Suppose 5*p + 0*p - 27 = o*v, 5*v + 36 = 2*p. Does 17 divide j(v)?
True
Suppose 2*o - 10 = -h, -5*h + 2*o = o - 28. Let s = -40 - -44. Is s*40/15*h a multiple of 16?
True
Let g = 3975 + -3398. Does 9 divide g?
False
Suppose 6*i + 8*i - 27*i + 188981 = 0. Does 58 divide i?
False
Suppose -292*c + 3284120 + 374008 = -461408. Is c a multiple of 57?
False
Suppose 2*t - 976 = -4*v, 2*v = t - 163 - 329. Is 10 a factor of t?
True
Suppose 4*c = 5*n + 5, 21 = 4*c + n - 2. Suppose 0 = c*l - 3*z - 715, 5*l - 4*z = 6*l - 166. Does 17 divide l?
False
Let a be (15/(-3) - -520)/((-1)/(-2)). Is 8 a factor of (-1)/(-2*5/a)?
False
Let g(h) = -4*h - 52. Let p be g(-24). Suppose 5*k + 689 = 4*c, -3*k = -c + 130 + p. Suppose q - c = -2*q. Is q a multiple of 5?
False
Let c = -14946 + 14950. Suppose -27 - 13 = 2*n. Does 14 divide (-6)/3 + (-8 + c - n)?
True
Let f(j) = 3*j**2 - 7. Let n be f(3). Let h(c) = 4*c - 68. Let w be h(n). Suppose -2*k + w = -4. Does 8 divide k?
True
Let x = 9427 + -6767. Is x a multiple of 8?
False
Let l(h) = -63 + 19 - 16*h + 18*h. Let r be l(23). Suppose -5*d = -3*t + 105, 0 = -r*t - 0*t - 3*d + 70. Is t a multiple of 7?
True
Let o be -158*(42/(-12) + 4). Let l = o - -109. Does 15 divide l?
True
Let c = -274 - -274. Suppose 5*g - b - 1029 = 0, 4*g + c*g = -2*b + 826. Is 71 a factor of g?
False
Let z = -23323 + 50863. Is 17 a factor of z?
True
Does 9 divide (1 - 5 - -2)*-1037 + 2 + 3?
True
Suppose 187 = 2*n - 301. Let d = -144 + n. Is d a multiple of 10?
True
Suppose 5*z + 4*b = 30850 - 4187, 16002 = 3*z + 3*b. Is 5 a factor of z?
False
Let w(z) = -16*z**3 + 23*z**2 - 25*z - 26. Let i(r) = -r**3 + 4*r**2 - 5*r - 5. Let s(h) = -11*i(h) + 2*w(h). Let p = 1 + -2. Does 6 divide s(p)?
False
Let o be 15584/(-44) + 6/33. Let c = o - -519. Is c a multiple of 11?
True
Suppose 9 - 2 = 7*y. Let k be (-4)/8*(-82)/y. Suppose -4*b = i - k - 164, -2*i = 3*b - 150. Is b a multiple of 12?
False
Let u be ((-12)/(-14))/(4/14). Does 22 divide u/(-3) - -235 - (4 - 0)?
False
Let g(z) = -1251*z**3 - 2*z**2 - 3*z - 1. Let o be g(-1). Does 52 divide (27 - 28)/(2 - o/624)?
True
Let b(f) be the first derivative of -f**2/2 + 84*f - 27. Is 14 a factor of b(9)?
False
Let n(w) = 399*w**2 + 13*w + 130. Is 72 a factor of n(-8)?
False
Let c = -8923 + 21335. Does 66 divide c?
False
Suppose 5*i - 44637 = -3*y, -5*y = -i + 6703 + 2202. Is i a multiple of 7?
True
Let g(x) = -3*x**2 + 11*x - 1. Let l be g(3). Let o(d) = -22 + 0 - 18*d + l*d + 3*d. Is o(-7) a multiple of 6?
True
Let y(o) = 554*o - 3791. Is y(28) a multiple of 82?
False
Suppose l - 2*l + 106 = 4*u, -5*u - 238 = -2*l. Is 4*4/(-24) - l/(-9) a multiple of 3?
True
Does 39 divide 1048/6*(1275/2)/85?
False
Suppose -2*x - 1081 - 446 = 3*p, -x + 1025 = -2*p. Let w = 595 + p. Does 12 divide w?
True
Let b(d) = -227*d - 2569. Does 5 divide b(-37)?
True
Suppose -1 = -3*q + 5*j - 0, -9 = -5*q + j. Let f be ((-715)/52)/(q/8). Let h = -10 - f. Is h a multiple of 9?
True
Suppose 1771 + 129 = 5*f - 2*h, 3*f = -4*h + 1114. Does 18 divide f?
True
Suppose 5*c + 227 - 1260 = -2*a, 3*a = 4*c + 1492. Suppose 5*b - 504 = -4*l, l + 3*b - a = -3*l. Is 3 a factor of l?
True
Let p be (-76)/(-28) + 6/21. Let m = 27 + -25. Suppose -m*u + 131 = 3*u - f, u + p*f - 23 = 0. Is 4 a factor of u?
False
Let b(a) = -a**3 + 11*a**2 + 10*a. Suppose -17*t = -30*t + 78. Does 12 divide b(t)?
True
Let n be (((-100)/(-8))/(-5))/((-1)/2). Suppose -4*p = -0*b + n*b - 2332, 2*p + b = 1166. Let j = p + -383. Is 39 a factor of j?
False
Let m(j) = 273*j - 6787. Is 23 a factor of m(30)?
True
Let c be -3 + (-5)/15*-87. Suppose -c*t + 23*t = 0. Suppose -4*y = -5*d - t*y + 512, y = -3. Does 17 divide d?
False
Let z be ((-4)/(-3))/((-2)/(-3)). Let l(j) = -45*j**3 - j**2 - 5*j - 1. Let r(y) = -6*y**3 - y. Let c(h) = -l(h) + 6*r(h). Is 25 a factor of c(z)?
True
Let j be ((-6)/18)/((-1)/126). Is (-7)/j - (-1766)/12 a multiple of 25?
False
Let z(v) = -v**2 - 6*v - 9. Let n be z(-5). Is ((-16)/24)/(((-4)/(-99))/n) a multiple of 16?
False
Let k(y) = 20*y**3 + 5*y**2 + 6*y + 2. Let z be k(-2). Is 6 a factor of (6 - 7)*z + (0 - 2)?
False
Suppose -k + 2*w = -6454, -10*k + w = -14*k + 25789. Is 32 a factor of k?
False
Let n = 229 - 111. Let r be 32/(-3 + 5)*(-1 - -6). Let l = n - r. Is l a multiple of 7?
False
Does 100 divide 397 - -1 - (-19 - (-24 + 7))?
True
Let d = -471 + 481. Does 5 divide (1108/d)/(288/45 - 6)?
False
Suppose -f + 2*j + 12786 = 4898, 5*f + 5*j - 39365 = 0. Is f a multiple of 31?
False
Let k(v) = 37*v**3 - 6*v**2 + 37*v - 13. Does 7 divide k(4)?
False
Let p(u) = 310*u**3 + 7*u**2 + 12*u - 70. Is p(3) a multiple of 227?
True
Let x = -11 - -12. Suppose -2*f - x = -2*n - 69, -5*f + 200 = 5*n. Let b = f - 29. Does 8 divide b?
True
Let f(k) = 4186*k**2 - 8*k + 11. Does 40 divide f(3)?
False
Let d(w) = -14*w + 1. Let a be d(1). Let v(n) = -7*n - 14*n**2 - n**3 + 4*n + n**2 + 23 + 2*n. Is 17 a factor of v(a)?
False
Suppose 5*r = 4*f - 10473, 451*f + r + 7863 = 454*f. Does 6 divide f?
True
Suppose 7*p + 45 = -1271. Let j = 480 + p. Does 41 divide j?
False
Let k = -4325 - -6430. Does 17 divide k?
False
Let y(f) = 866*f + 3585. Is 4 a factor of y(7)?
False
Suppose -v + 1621 = 5*z, -3*z + 1962 = 3*z - 3*v. Does 13 divide z?
True
Let u(y) = -6*y - 36. Let j be (15/(-6) + -1)/(6/12). Let m be u(j). Is (m + (-8)/2)/((-2)/(-88)) a multiple of 27?
False
Let q(n) = -n**3 + 9*n**2 + n + 10. Suppose -5*g + 20 + 15 = 0. Is q(g) a multiple of 7?
False
Does 2 divide (4/8)/(34/13124)?
False
Let g(l) = -7*l**3 + 51*l**2 + 22*l + 16. Is 76 a factor of g(-8)?
True
Let p be 3*(-2)/(-3) - 5474/(-34). Let a = p - 91. Suppose 6*x - a = 3*x. Is 6 a factor of x?
True
Let j(u) = 7*u + 4. Let i(m) = -m + 1. Suppose 4*t = -t - 5. Let r(z) = t*j(z) - 3*i(z). Is 6 a factor of r(-4)?
False
Suppose -4*x + 82232 - 16232 = -4*g, 3*g = 2*g. Is x a multiple of 55?
True
Let c be ((-14)/(-6))/((-3)/(-108)). Let z(q) = q**3 - 39*q**2 - 125*q + 27. Let o be z(42). Let n = c - o. Is n even?
False
Suppose 5*w - 44 = -34. Suppose 0 = 3*g - 4*a - 1848, 4*a = w*g - 5*g + 1824. Is g a multiple of 34?
True
Suppose -5*a - 19 = -o, -4*o + 2 = a - 11. Suppose o*x - 3*c = -4*c + 1502, -2*x - 3*c = -756. Is x a multiple of 15?
True
Let c be (-529)/(-138) + (-14)/(-12) + -1. Suppose -2*b + 3*a = 39, -2*b = -c*a + 27 + 17. Is 21 a factor of (b/(-15))/((-6)/(-315))?
True
Let h = 63480 - 31620. Is h a multiple of 10?
True
Let f be 69/(-8)*2 - 6/8. Is 5 + -3*264/f a multiple of 7?
True
Is 11 a factor of -38*681*(-8)/48 - 1?
True
Suppose 6*n - 7*n + 736 = 0. Suppose 16*l + n = 20*l. Is 23 a factor of l?
True
Let z(l) = -232*l + 2072. Does 103 divide z(-19)?
False
Let y be ((-20)/(-6))/5*-3. Let g be (-42)/63*(-642)/4. Let a = g + y. Is a a multiple of 11?
False
Let b be ((-13)/(-3) + 12/(-3))*-1119. Let w = b - -458. Is 3 a factor of w?
False
Let i(s) = 2*s**3 - 4*s**2 - 1. Let k be i(3). Let h(o) = 58*o + 304. Is 49 a factor of h(k)?
False
Is (-161 - (-92)/(-23))/((-3)/358) a multiple of 116?
False
Let s(y) = y**3 + 6*y**2 - 20*y - 193. Is s(17) a multiple of 6?
True
Let g = 37 - 83. Let b = g + 45. Is (3/3)/(b/(-10)) a multiple of 5?
True
Let g(q) = -3*q + 99. Let b be g(33). Let x(h) = -2*h**3 + h**2 - 2*h + 575. Does 23 divide x(b)?
True
Suppose -3458 = -7*k + 161. Suppose 2*b = b - 258. Let t = b + k. Does 37 divide t?
True
Suppose j = 5490 + 33106. Suppose -j = -23*f - 232. Does 11 divide f?
False
Suppose 4*o = 4*p + 1772, 4*o - 6*p + p = 1775. Is 44 a factor of o?
True
Let a = -14 - -181. Let w = a + 15. Is 14 a factor of w?
True
Let m(t) = -5*t**3 - 28*t**2 - 411*t - 65. Does 25 divide m(-15)?
True
Let p(g) be the third derivative of 5*g**4/4 + 34*g**3 - 220*g**2. Is p(17) a multiple | {
"pile_set_name": "DM Mathematics"
} |
2 + 0*x - 5. Give q(v(j)).
-26*j
Suppose 4*u = 5*d + 5*u - 14, -2*u = -3*d - 2. Let h(a) = -d + 2 + a. Let o(n) = 3*n + 7. Let v(m) = m + 2. Let g(k) = -4*o(k) + 14*v(k). What is h(g(w))?
2*w
Let s(z) = -7*z**2 + 236*z - 236*z. Let w(m) be the first derivative of -m**3/3 - 2. Calculate s(w(o)).
-7*o**4
Let y(n) = -n. Let p be 3/(-2 + (-14)/(-4)). Let g(r) = 0*r - 3*r + p*r + 2*r. Give y(g(s)).
-s
Let x(o) = -3*o**2. Let l(n) = -154*n. Determine l(x(p)).
462*p**2
Let z(p) = -p**2. Let i(c) = -c**3 - 8*c**2 - 15*c - 4. Let d be i(-6). Let w(b) = 9*b + 10 + 4 - d. Calculate z(w(y)).
-81*y**2
Let k(o) = o**2 + 5. Let f(i) = -2. Let c(p) = 5*f(p) + 2*k(p). Let g(h) = h - 2*h - 4*h + 2*h. Give c(g(y)).
18*y**2
Let t(s) = 9*s. Let u(l) = 446*l. What is u(t(z))?
4014*z
Let k(g) be the first derivative of 0*g - 1/2*g**2 - 1. Let a(r) be the third derivative of -r**4/4 + 2*r**2. What is a(k(w))?
6*w
Let s(o) = 7*o**2. Let x(v) = -13*v**2. Let h(l) = -13*s(l) - 6*x(l). Let u(w) = -3*w**2. What is u(h(y))?
-507*y**4
Let w(z) = -497*z. Let g(f) = f. Calculate w(g(j)).
-497*j
Let i(l) = -162*l**2 + 2*l. Let g(x) = 4*x. Determine g(i(o)).
-648*o**2 + 8*o
Let u(j) = 124 - 124 - 4*j**2. Let c(v) = -30*v**2. Let x(r) = -4*c(r) + 36*u(r). Let i(a) = -a. Give i(x(b)).
24*b**2
Let t(n) = -4*n. Let m(v) = -221*v + 6. Calculate t(m(q)).
884*q - 24
Let h(v) = 274*v**2. Let i(n) = -2*n. Calculate i(h(t)).
-548*t**2
Let m(l) = 2*l. Let a(h) = -h**3 + 6*h**2 - 3*h - 6. Let o be a(5). Let v(b) = o + 7 - 11 + b**2. Calculate m(v(z)).
2*z**2
Let v(c) = -51*c - 4. Let t(d) = 3*d. Give t(v(h)).
-153*h - 12
Let j(n) = -8*n. Let b(h) = -14*h**2. Determine b(j(q)).
-896*q**2
Let v(q) = -397*q**2. Let l(t) = -27*t**2. Calculate l(v(g)).
-4255443*g**4
Let y(i) = -34*i - 24. Let p(o) = o. Determine p(y(s)).
-34*s - 24
Let d(v) = 2*v**2. Let x(a) = 2*a**2 + 10. Determine d(x(t)).
8*t**4 + 80*t**2 + 200
Let t(p) = -2*p**2. Let y(b) = 9*b - 186 + 186. Give y(t(l)).
-18*l**2
Let g(y) = -14 + 24 + 4*y**2 - 10. Let o(l) = l**2. Calculate o(g(u)).
16*u**4
Let p(x) = -2*x**2. Let l(q) be the second derivative of q**3/2 + 19*q. Give l(p(s)).
-6*s**2
Let w(h) = -7*h - 27. Let g(l) = 10*l. Determine w(g(x)).
-70*x - 27
Let d(x) = -2*x**2. Let j(a) = 2*a**2 + a - 1. Let i be j(1). Let u(c) = 3*c - 6*c - i*c - 8*c. Calculate u(d(h)).
26*h**2
Let g(y) = -9*y**2. Let i(b) = -1. Let r(h) = -h + 7. Let d(n) = -14*i(n) - 2*r(n). Determine d(g(m)).
-18*m**2
Let h(k) = k**2. Let p(f) = -5*f**2 + 9*f + 12. Let u(y) = y**2 - 2*y - 3. Let o(b) = 2*p(b) + 9*u(b). Calculate o(h(r)).
-r**4 - 3
Let l(j) = -30*j**2. Let u(d) = -7*d**2 + 2*d**2 + 3*d**2. Calculate u(l(f)).
-1800*f**4
Let x(g) = -g. Let s(i) = -370*i. Determine x(s(l)).
370*l
Let p(n) = -5*n. Let m(f) = 2 - 2 - f. Let c(z) = z. Let q = -1 - -6. Let x(v) = q*m(v) + 6*c(v). Determine p(x(h)).
-5*h
Let n(x) = 49*x**2. Let t(v) = 56*v**2 + 3*v. Determine t(n(h)).
134456*h**4 + 147*h**2
Let h(f) = 66*f + 55. Let n(b) = -b - 1. Suppose -13*g + 18*g = 275. Let i(y) = g*n(y) + h(y). Let p(o) = -o. Calculate i(p(m)).
-11*m
Let h(v) = -15*v**2 - 93*v + 93*v. Let i(n) = -2*n. Give h(i(y)).
-60*y**2
Let n(z) = -6*z**2 - 4 + 8*z**2 + 4. Let a(b) = b**2. Give a(n(g)).
4*g**4
Let g(k) = 13*k**2 - 5. Let c(s) = 6*s**2 - 2. Let v(o) = -5*c(o) + 2*g(o). Let l(u) = 2*u. Give l(v(q)).
-8*q**2
Let r(f) = 3*f. Let c(v) = -16*v. What is c(r(l))?
-48*l
Let z(a) be the second derivative of -3*a**3/2 + 9*a. Let g(k) = 3*k**2. Give g(z(m)).
243*m**2
Let w(g) = 4*g**2 + 2*g. Let l(r) = -8*r**2 - 5*r. Let i(n) = -2*l(n) - 5*w(n). Let d(s) = -2*s**2. Give d(i(v)).
-32*v**4
Let y(c) = 2*c. Let s(m) be the first derivative of -5*m**3 - 70. Calculate s(y(d)).
-60*d**2
Let z(b) = -2 + 5*b - 4 + 6. Let v(r) = -4*r**2 + 3*r. Let k(q) = -q**2 + q. Let n(m) = -3*k(m) + v(m). Give n(z(c)).
-25*c**2
Let q = 0 + -7. Let k(g) = -13*g**2. Let y(h) = 9*h**2. Let f(a) = q*y(a) - 5*k(a). Let c(n) = 7*n. Give f(c(x)).
98*x**2
Let x be (-16)/(-3) - (-3)/(-9). Let t(d) = 8*d - x*d - d. Let n(m) = -3*m. What is t(n(s))?
-6*s
Let z be (15/25)/(2/70). Suppose 5*h + k - z - 9 = 0, 5*h - 4*k - 55 = 0. Let v(f) = 5*f + 4 - h*f - 4. Let x(l) = 3*l**2. What is x(v(r))?
12*r**2
Let k = 9 + -5. Let o(a) = -4 + 2*a**2 + 0*a**2 + k. Let b(i) = 3*i. Calculate b(o(x)).
6*x**2
Let f(h) = -6*h. Let o(g) = -g**2 - 9*g + 1. Let t be o(-9). Let p(d) = -d - t + 1. Determine f(p(c)).
6*c
Let j(i) = -2*i**2. Let y(k) = -2*k**2 - 4*k. Let q(z) = 3*z**2 + 5*z. Let v(m) = 4*q(m) + 5*y(m). Give v(j(p)).
8*p**4
Let i(d) = -4*d. Let x(z) = -z**2 - 3*z + 3. Let w be x(-3). Let h(q) = 0*q - w*q + 3*q + q. Give i(h(r)).
-4*r
Let q be 1 + (-4 + 1)/(-3). Let l(t) = 2*t**2 + 7*t**2 - 4*t**q. Let n(v) be the first derivative of v**3/3 - 10. Give n(l(h)).
25*h**4
Let a(d) be the first derivative of 2*d**3/3 - 18. Let x be (-3)/(-1) - (2 + -2). Let t(m) = 4*m + 4*m - x*m. Determine t(a(h)).
10*h**2
Let n(w) = w + 923 - 923. Let r = 7 - 11. Let m(c) = 4*c. Let p(x) = -x**2 + 3*x. Let h(s) = r*p(s) + 3*m(s). Determine h(n(f)).
4*f**2
Let t(r) be the third derivative of r**5/20 - 4*r**2. Let z(l) be the second derivative of l**4/6 - l. Calculate t(z(y)).
12*y**4
Let b(g) be the first derivative of -g**4/12 + g + 2. Let f(a) be the first derivative of b(a). Let i(x) = -2*x**2 + 2*x**2 - 3*x**2. What is i(f(r))?
-3*r**4
Let m(x) = -2*x. Let z(s) = -1361*s. Give m(z(r)).
2722*r
Let f(g) = -3*g. Let t(q) = 8*q - 1. What is f(t(i))?
-24*i + 3
Let t(a) = 1695*a. Let o(r) = 14*r**2. Calculate o(t(b)).
40222350*b**2
Let z(t) = -433*t**2. Let d(g) = -5*g**2. What is z(d(r))?
-10825*r**4
Let w(y) be the second derivative of -y**3/2 - 3*y. Let c(b) = b. Determine c(w(v)).
-3*v
Let i(u) = -u**2 - 9*u - 8. Let w be i(-8). Let x(g) = w*g - 6*g + 5*g. Let m(v) = -v**2. Calculate x(m(b)).
b**2
Let k(v) = 228*v**2. Let y(t) = -2*t. Determine y(k(b)).
-456*b**2
Let k(z) = -z. Let o(r) be the second derivative of 0*r**3 - 5/12*r**4 + 0*r**2 + 2*r + 0. Calculate k(o(c)).
5*c**2
Let k(g) = -4*g. Let b(i) = -1 + 2*i - 3 + 4. Determine b(k(h)).
-8*h
Let l(z) = -16*z. Let b(x) = -18*x - 1. Determine b(l(g)).
288*g - 1
Let f(m) = 5*m**2 + 4*m**2 - 6*m**2. Let b(z) = z**2. Determine b(f(a)).
9*a**4
Let m be ((-16)/12)/(4/(-6)). Let y(g) = 4*g**2 - 5*g**2 + 5*g**m + g**2. Let h(s) = 2*s**2. Determine y(h(x)).
20*x**4
Let s(l) = -2*l**2. Let v(m) be the first derivative of -2/3*m**3 + 0*m**2 + 1 + 0*m. What is v(s(p))?
-8*p**4
Let a(i) = 0*i**2 + 4*i**2 - 6*i**2. Let h(d) = 2 - 2 + 3*d. Calculate h(a(z)).
-6*z**2
Let l(m) = -2 + 0 + m + 3. Let k(c) = c**2 + 3*c + 3. Let v(z) = k(z) - 3*l(z). Let h(d) = 2*d**2. Calculate v(h(u)).
4*u**4
Let f(w) = -8*w - 1. Let t(v) = -12*v. Calculate t(f(m)).
96*m + 12
Let m(p) = 358*p. Let j(d) = 2*d. What is m(j(o))?
716*o
Let x(j) be the second derivative of 1/6*j**3 + 4*j + 0*j**2 + 0. Let m(u) = u**2. Give x(m(r)).
r**2
Let u(b) = b**2. Let h(m) be the third derivative of -m**6/360 - m**3/2 + 2*m**2. Let z(r) be the first derivative of h(r). Calculate z(u(t)).
-t**4
Let b(h) = -1190*h. Let w(f) = -2*f**2. What is b(w(i))?
2380*i**2
Let t(s) be the third derivative of 2*s**5/15 + 22*s**2. Let h(m) = 3*m. Give h(t(n)).
24*n**2
Let g(i) be the second derivative of i**4/12 + 2*i. Let h(v) = -3*v**2 + 3. Let d(r) = 3*r**2 - 4. Let p(y) = -3*d(y) - 4*h(y). Calculate p(g(q)).
3*q**4
Let m(p) be the first derivative of 3*p**3 - 7. Let r(d) = -d. What is r(m(n))?
-9*n**2
Let i(l) = -l. Let o(c) be the second derivative of 0*c**3 + 0*c**2 + 0 + 1/6*c**4 - 6*c. Calculate i(o(j)).
-2*j**2
Let d(b) = 3*b + b - 2*b - b. Let v(t) be the second derivative of -t**4/2 + t. Calculate v(d(o)).
-6*o**2
Let m(z) = -6*z**2 - 5. Let u(i) = -5*i**2 - 4. Let q(p) = -4*m(p) + 5*u(p). Let w(h) = -2*h**2. Determine w(q(t)).
-2*t**4
Let b(f) be the first derivative of f**3 - 21. Let n(p) = -24*p**2. Give n(b(d)).
-216*d**4
Let o(z) = 8*z**2 - 10*z**2 - 18*z**2. Let i(w) = 2*w**2. What is o(i(s))?
-80*s**4
Let h(n) = -477*n**2. Let t(r) = -19*r**2. Calculate h(t(w)).
-172197*w**4
Let g(m) = 4*m. Let y(r) = -55*r + 1. Give g(y(h)).
-220*h + 4
Let r(i) = 12*i. Let p(m) = -28*m**2. Determine r(p(b)).
-336*b**2
Let c(p) = p**2 + 76. Let a(u) = 7*u. | {
"pile_set_name": "DM Mathematics"
} |
s**4 - 3*s**3 + 376*s**2 - 17*s + 2556 wrt s?
132*s**2 - 18*s + 752
What is the second derivative of -793520*h**4 + 7*h + 61108 wrt h?
-9522240*h**2
Find the second derivative of -8646*n**3 - 16*n**2 - 736187*n.
-51876*n - 32
What is the second derivative of -15788*a**2*h**3*s**3 + 6*a**2*h**3 + 13213*a*h**3 - 10*a*s**3 - h**3*s**2 + h wrt a?
-31576*h**3*s**3 + 12*h**3
What is the first derivative of -12107*i*m - 3*i + 30*m**2 + 119492 wrt m?
-12107*i + 60*m
Differentiate -112976*n**4 - 497565 wrt n.
-451904*n**3
Differentiate -2*l**4 + 122433*l**3*n + 1075509*n wrt l.
-8*l**3 + 367299*l**2*n
Find the second derivative of 32848*o**4 - o**3 - o**2 + 191755*o wrt o.
394176*o**2 - 6*o - 2
Find the third derivative of -211641*j**6 + 226599*j**2 wrt j.
-25396920*j**3
Find the second derivative of 3394*a**3*s**2 + 2*a**3 - 7411*a*s wrt s.
6788*a**3
Find the second derivative of 2*b**2*f**3*r**2 + 642*b**2*f**2*r**2 - 7*b*f**3*r**2 - b*f**2*r**2 - 10*b*f**2 + f**3 wrt b.
4*f**3*r**2 + 1284*f**2*r**2
Differentiate 3*l**2*y - 2*l**2 + 192*l*y + 114*l - 2*y - 68910 with respect to l.
6*l*y - 4*l + 192*y + 114
What is the second derivative of -2150*c**3*k - 822*c**3 - 2*c*k + 5*c - 37169*k + 2 wrt c?
-12900*c*k - 4932*c
Find the second derivative of 513086*t**4 - t**3 - t**2 - 137*t - 5034.
6157032*t**2 - 6*t - 2
What is the third derivative of -41*j**6 + 328*j**4 - 1390436*j**2 + 2 wrt j?
-4920*j**3 + 7872*j
Find the third derivative of -5*b**2*m**3*o**2 + 2*b**2*m**3 - 68*b**2*m**2*o**3 + 2*b**2*m**2*o**2 + 40909*b*m*o - 22474*m**3*o**3 wrt o.
-408*b**2*m**2 - 134844*m**3
What is the first derivative of -d**4 + 24021*d**2*t - d*t - 107*t + 397 wrt d?
-4*d**3 + 48042*d*t - t
Find the first derivative of 45536*b**2*d*k**3 + 2*b**2*d - b**2*k**3 - 51808*b**2*k**2 + b**2 - 2*k wrt d.
45536*b**2*k**3 + 2*b**2
Differentiate 12133*s**2 + 3*s*v - 90*v + 12 wrt s.
24266*s + 3*v
Find the third derivative of -w**4*y**3 - 2*w**4 + 18*w**3*y**3 - 7*w**2*y**3 + 87*w**2*y**2 + 2*w**2 + 74*w*y**3 - 7*w*y**2 wrt w.
-24*w*y**3 - 48*w + 108*y**3
What is the first derivative of 17788*c**2*h*s + 897*c**2 - h*s - 83*h wrt s?
17788*c**2*h - h
What is the first derivative of -343605*k - 491890?
-343605
What is the third derivative of g**3*n - 7487*g**3 + 32408*g**2*n - n wrt g?
6*n - 44922
Find the second derivative of 96948*d**2*u**3 + 45*d**2*u + 2*d**2 - 12*d*u wrt u.
581688*d**2*u
Find the second derivative of -71340*k**2 - 115225*k.
-142680
What is the third derivative of 2560889*u**5 - 48064*u**2 - 1?
153653340*u**2
Differentiate 124*g**3*l*s + 4*g**3 + 14*g**2*l*s + 138*g**2 + 3*g*l*s + 16*l with respect to s.
124*g**3*l + 14*g**2*l + 3*g*l
What is the derivative of -11*d**4 - 2056*d**2 - 3*d + 246883 wrt d?
-44*d**3 - 4112*d - 3
What is the second derivative of 273*c**3*p**3 - 2*c**3 + 25800*c**2*p + c*p**3 wrt p?
1638*c**3*p + 6*c*p
What is the derivative of -1465858*t**4 + 5957199?
-5863432*t**3
What is the third derivative of -d**4*m - d**4 + 329*d**3*m - 20*d**3 - d**2*m + 5*d**2 - 2*d + 11*m + 376 wrt d?
-24*d*m - 24*d + 1974*m - 120
What is the first derivative of 5*g**4 - 2*g**2*o**2 + 10137*g**2*y + o**2*y + 21*o**2 - 81*o*y + 3*o + y wrt g?
20*g**3 - 4*g*o**2 + 20274*g*y
Find the third derivative of 29428*h**3 + 12300*h**2 wrt h.
176568
Find the second derivative of -19686*s**3 - 8*s**2 - 87021*s + 1.
-118116*s - 16
Find the second derivative of b**3*s**3 + 302*b**3*s + 2*b**3 + 52*b*s**3 + b*s**2 - 228*s**2 + 29*s - 1 wrt s.
6*b**3*s + 312*b*s + 2*b - 456
What is the first derivative of -1817321*m**2 - 874201?
-3634642*m
Find the second derivative of 1132*l*r**2 - 57110*l*r + 5*r**2 - r wrt r.
2264*l + 10
What is the second derivative of 2*x**4 - 7*x**3 - 6*x**2 - x + 103869 wrt x?
24*x**2 - 42*x - 12
Find the first derivative of -2*f**2*l - 38*f**2 - 15*f*l + 24*f + 2144713*l wrt f.
-4*f*l - 76*f - 15*l + 24
Find the second derivative of h**3*z**2 - h**3 - 68*h**2*z + h**2 - 5*h*z**3 - 4*h*z**2 + 2*h*z - 18*z**3 wrt z.
2*h**3 - 30*h*z - 8*h - 108*z
Differentiate 2*s**2 + 31122*s - 5836 with respect to s.
4*s + 31122
What is the derivative of -489741*i**2 + 3*i + 4205799 wrt i?
-979482*i + 3
Differentiate -40464*a*v**2 - 141*v**2 + v + 236 with respect to a.
-40464*v**2
What is the derivative of -4*s**2*x - 105*s**2 + 177*s*x - 6957*x - 13 wrt s?
-8*s*x - 210*s + 177*x
Find the third derivative of -396*i**5 + 11*i**4 - 2*i**3 - 2732*i**2 - 19*i wrt i.
-23760*i**2 + 264*i - 12
What is the second derivative of 980264*l**4 - 1271430*l?
11763168*l**2
What is the derivative of 333698*t - 326033 wrt t?
333698
What is the second derivative of 1164*c**4*v - 43*c**2*v*y - 2*c**2 + c*v*y + 118*c*y + 6*c + 82 wrt c?
13968*c**2*v - 86*v*y - 4
What is the third derivative of 3730*n**6 + 5*n**4 - 12022*n**2?
447600*n**3 + 120*n
What is the second derivative of -38293*u**3 + 46821*u?
-229758*u
What is the third derivative of -1068*k**3*u**3 + 2304*k**3*u**2 - 10*k**3*u - 3*k**2*u**3 - 6*u**3 + 1 wrt u?
-6408*k**3 - 18*k**2 - 36
Differentiate 5726*n*y - n + 3*y - 17171 with respect to y.
5726*n + 3
Find the third derivative of 255149*s**5 + s**4 + 2*s**2 - 75*s + 41 wrt s.
15308940*s**2 + 24*s
Find the second derivative of -3*d**3*z - 8*d**3 + 334*d**2 + 9*d*z - 75*d - 15*z wrt d.
-18*d*z - 48*d + 668
What is the derivative of 12*d**4*z - 185*d**4 + 3*d*z + 227439*z wrt d?
48*d**3*z - 740*d**3 + 3*z
What is the derivative of -6*a*r*v**3 + 439*a*r*v - 3*a*v + 2*r*v**3 + 3*r*v**2 + 115*r - 25*v wrt a?
-6*r*v**3 + 439*r*v - 3*v
Find the first derivative of 2*y**4 - 1106987*y**2 + 4719945.
8*y**3 - 2213974*y
What is the third derivative of -184546*c**3*x - 660*c**2*x - 2*c - 2*x + 111 wrt c?
-1107276*x
Find the third derivative of 58903*f**3 - 36658*f**2.
353418
Find the second derivative of -33643*f**2 + 40*f - 162.
-67286
What is the first derivative of -9*p*w**2 - 384156*p - 387*w**2 + 20*w wrt w?
-18*p*w - 774*w + 20
Find the third derivative of -t**6 + 158*t**5 + 26*t**3*x + 2*t**2*x - 13*t + 3*x + 5 wrt t.
-120*t**3 + 9480*t**2 + 156*x
What is the third derivative of 12*c*d**2*j + c*d*j**2 - 5*c*j**3 + 2*d**2*j**3 + 1536*d**2*j**2 + 142*d*j**3 wrt j?
-30*c + 12*d**2 + 852*d
What is the third derivative of -3*k**6 - k**4 + 826*k**3 + 65966*k**2 wrt k?
-360*k**3 - 24*k + 4956
What is the third derivative of 292310*r**5*w**2 - r**2*w**2 - 11439*r**2*w wrt r?
17538600*r**2*w**2
What is the derivative of -137*g*x**2*z**3 + g*x**2*z - 26*g*x + 179*g - 2*x**2 - 2*x - 6*z wrt z?
-411*g*x**2*z**2 + g*x**2 - 6
What is the first derivative of -14*j**2*z + 8*j**2 + 2*j*z + 265*j + 41273*z - 8 wrt j?
-28*j*z + 16*j + 2*z + 265
What is the third derivative of -7574*c**4 + 2*c**3 - 96*c**2 + 3 wrt c?
-181776*c + 12
Find the first derivative of 141621*a**3*i**2*j - a**3*i**2 + 7771*a**2*i**2 - 4*a**2 + 2*i wrt j.
141621*a**3*i**2
Find the first derivative of -2*b*l**2 - 3*b*l - 238552*b - 6*l**3 + 80*l wrt l.
-4*b*l - 3*b - 18*l**2 + 80
What is the third derivative of -147*c**3*f**3*h + 1280*c**3*f + 2*c**2*f**2*h - c**2*h + 132*c*f**3*h + 8*c*f**2 wrt f?
-882*c**3*h + 792*c*h
What is the second derivative of 77*m**2*p**3 + 33*m**2*p**2*w - m**2*w + 2*m*p**3*w - m*p**3 + 2*m*p**2*w - 18*p**3*w - 10*w wrt m?
154*p**3 + 66*p**2*w - 2*w
Find the third derivative of i*n*u*x**3 + 2*i*n*u*x**2 - i*n*u*x - 7*i*u*x**2 - 3*i*u - 3458*i*x**4 + 2*i*x**2 + 67*u*x**3 - 5*x wrt x.
6*i*n*u - 82992*i*x + 402*u
Find the second derivative of -27684*r**5 + 2*r**3 + 61*r - 50 wrt r.
-553680*r**3 + 12*r
What is the third derivative of -12*i**2*y**4 - 15*i**2*y**2 + 100*i*y - 2198*y**6 - 47*y wrt y?
-288*i**2*y - 263760*y**3
What is the third derivative of 32*l**4*n - 37*l**4 + 2*l**3*n + 105*l**2*n - 2*l*n + 14*n wrt l?
768*l*n - 888*l + 12*n
Find the first derivative of -18098*c**3 + 142410.
-54294*c**2
What is the derivative of -256*c**3 - 89*c**2 - 230541?
-768*c**2 - 178*c
What is the third derivative of l**3*p**2 - 2*l**3*p + 6045*l**3 - 36*l**2 + 327*l*p**2 wrt l?
6*p**2 - 12*p + 36270
Find the second derivative of -120*z**4 + 77*z**3 + 24*z**2 - 57*z + 3236 wrt z.
-1440*z**2 + 462*z + 48
Find the second derivative of -14*j*x**5 - 29220*j*x**2 + 2269305*j*x wrt x.
-280*j*x**3 - 58440*j
Find the th | {
"pile_set_name": "DM Mathematics"
} |
Let t(s) = -s**3 + 3*s**2 + s - 4. Let v be (-7)/(-4) - 13/(-52). Let g be t(v). Suppose 0*f + 789 = 2*r - f, -387 = -r + g*f. Is r prime?
True
Is (-3)/(-33) - (1 - 5110705/55) prime?
True
Suppose 23*c - 20*c - 42855 = 0. Is c composite?
True
Let a = 14119 - 3320. Is a composite?
False
Is (-474708)/(-54) + (-2)/(-18) a composite number?
True
Suppose z = -25*z + 120146. Is z a prime number?
True
Suppose 0 = 11*b - 24652 - 12649. Is b prime?
True
Suppose 6*o = 53426 + 22000. Is o a composite number?
True
Let j be ((-51)/(-34))/(3/4). Suppose j*u + u - 2*b = -512, 846 = -5*u - 4*b. Let z = u + 597. Is z a composite number?
True
Suppose 3595 = 4*v + o, 0*v + 2701 = 3*v - 4*o. Is v a prime number?
False
Suppose -5*g + 2*h + 2*h = -542, 4*g + 4*h = 448. Suppose g = q - 91. Is q prime?
False
Is (5/(-2) - -2)/(8/(-3376)) composite?
False
Let a(n) = n**2 - 3*n - 4. Let v be a(4). Suppose h + 120 = 6*h - 5*g, 2*h + 5*g - 13 = v. Let k = h - -2. Is k a prime number?
False
Let w be ((-12)/9)/2*-3. Is (-1 + w)/(10/4090) composite?
False
Suppose 8*a - 53897 = -9073. Is a prime?
False
Let i(y) = 4*y**2 - 11*y - 9. Let r(o) = o**2 + 10*o - 7. Let k be r(-8). Let x = -31 - k. Is i(x) prime?
False
Let d(m) = -7 + 4 - 2*m - 1. Let s be d(-4). Suppose p - 205 = -3*j, -j + 51 = -0*j - s*p. Is j a prime number?
True
Suppose -5*a + 2*y + 110 = 0, a = 2*y - 1 + 23. Suppose a + 66 = -r. Let i = -35 - r. Is i a prime number?
True
Let u = -96 - -104. Is (-8)/(u/3)*(-1119)/9 prime?
True
Let u(s) = s**2 - 11. Let j(m) = m**3 - 9*m**2 + 8*m + 2. Let i be j(8). Let d = 12 - i. Is u(d) prime?
True
Let j(y) be the third derivative of y**6/120 - 11*y**4/24 - 19*y**3/6 - 37*y**2. Is j(12) prime?
False
Suppose 4*t + 66650 = 2*v, 5*v = -11*t + 6*t + 166610. Is v a prime number?
False
Let c(u) = 5*u**2 - u - 2. Let i be c(-1). Suppose 2*x + 5*h = 519, 1029 = 4*x + i*h - 3*h. Is x prime?
True
Let o = -12342 - -27187. Is o composite?
True
Suppose 5*q + 6*q - 61435 = 0. Is q composite?
True
Let n = -52 + 58. Suppose n*f = 3*f + 1899. Is f a prime number?
False
Let d = 15 - 8. Suppose -4*s - 537 = -d*s. Is s prime?
True
Suppose -33*s + 36*s = 12. Suppose -1926 = -s*d + 214. Is d prime?
False
Let n = 64100 + -18271. Is n a composite number?
True
Let p(b) be the second derivative of -2*b**5/5 - b**4/4 - 2*b**2 - 2*b. Let i be p(-3). Suppose a + 22 = i. Is a prime?
True
Let p(q) = 27*q + 10. Let a be p(18). Suppose -2*c + 2*m + m = -349, a = 3*c + m. Is c a prime number?
True
Let h(w) = w**2 - w - 4. Let i be h(3). Suppose -3*r + 4*u = -437, 2*r + i*u - 276 = -8. Is r a composite number?
False
Suppose 8*o - 9*o + 4 = 0. Let t(n) = 141*n - 10. Is t(o) composite?
True
Suppose 3*g - 6 = 0, 9*g = -2*n + 5*g + 122890. Is n a prime number?
True
Let q(x) = -242*x + 10. Let l(v) = -v**3 - 6*v**2 + 5*v - 7. Let k be l(-7). Let s be q(k). Is (s/(-16) - 2)*4 a composite number?
True
Is 5754515/90 - (-11)/(-198) a composite number?
True
Let r be 5/(0 + 4/340). Suppose -v + r = -0*v + 3*u, 421 = v + 2*u. Is v prime?
False
Let t = 380 + 357. Is t a composite number?
True
Suppose -4*g + 2452 = -3*d, -2*g - 1240 = -4*g - 2*d. Suppose 0 = -2*w + w. Suppose w = -5*v + g - 171. Is v composite?
False
Let a be -10*((-28)/(-10) - 3). Suppose -5*r - c = -13024, -a*r + 6260 = -4*c + 1046. Suppose -2*u + r = 3*u. Is u a composite number?
False
Suppose 1667 = n - 2*q, 3*n + 1666 = 4*n - 3*q. Suppose 3*s = -502 + n. Is s prime?
True
Suppose -6*i + 7*i = 8519. Is i a composite number?
True
Suppose 11*o = 6*o. Suppose -5*k + 9*k - 20 = o. Suppose 3*u = 2*u + k*c + 31, -5*u - c + 155 = 0. Is u prime?
True
Suppose 27*w - 78727 = 24*w - 4*o, -4*o + 26253 = w. Is w a prime number?
True
Let v = 568 - 258. Let g = -107 + v. Is g composite?
True
Let j(k) = -33*k**3 + 2*k**2 + 4*k - 7. Let l be j(-4). Suppose 55*s - 52*s = l. Is s composite?
True
Let z(m) = 133*m + 9. Let q be z(5). Suppose 1312 = 6*u - q. Is u composite?
False
Let a(y) = y**2 - 8*y - 8. Let i be a(9). Is (-8 + 7)*(i - 956) a composite number?
True
Let o(w) = -187*w**3 + w**2 + 2*w + 3. Suppose 25*r = 29*r + 8. Is o(r) prime?
True
Let s(l) = -l**2 - 5*l - 2. Let n be s(-4). Suppose 7*b - 58 = n*b + k, k + 10 = b. Is ((-380)/6)/((-8)/b) a composite number?
True
Suppose 6*h + 3*o = 3*h - 15, 4*h = -3*o - 15. Let y(k) = -k**2 - 2*k - 2. Let b be y(-2). Is h - (-422)/(4 + b) a prime number?
True
Let d = 33618 - -1189. Is d a composite number?
False
Let h = 570 + 617. Is h a prime number?
True
Suppose -2*t = -5*o - 9582 - 6111, 4*o + 12559 = -3*t. Let r = o - -4982. Is r composite?
True
Let p be (0 + 4/16)*20. Suppose -2*m + 1022 = 4*y, p*y + m - 1273 = -0*m. Let w = 445 - y. Is w a composite number?
False
Suppose d + 3*a = 3404, -3*d + 5*a = -10227 + 85. Is d a composite number?
False
Suppose 66 + 312 = 6*b. Suppose 4*u = b + 21. Is u a prime number?
False
Suppose 0 = -9*k + 10*k - 4. Suppose -k*x + 11 + 113 = 0. Suppose 2*u - x + 5 = 0. Is u composite?
False
Let l = -2098 + 5931. Is l a prime number?
True
Is (92/(-20) - -2)*(-20 + -935) a prime number?
False
Suppose -22*s + 6514 = 4*i - 27*s, -2*i + 3258 = -2*s. Is i prime?
False
Suppose 0 = 7*o - 3*o - 12. Suppose 19 = -4*x - t, 2*t + o = -3. Let y(q) = 3*q**2 + 2*q - 7. Is y(x) composite?
True
Let p(g) = 9*g - 11. Let m be p(3). Let x(y) = y**2 - 6*y - 17. Is x(m) composite?
True
Let h(p) = 295*p**2 - 2*p - 1. Let l(z) = -z. Let c be l(3). Let q be h(c). Suppose -262 = -6*d + q. Is d composite?
False
Suppose -16*s = -3*s - 401739. Is s composite?
True
Suppose 38*i = 32*i + 139134. Is i composite?
False
Let g(i) = i. Let v(y) = -6*y + 4*y + 2 + 56*y**2 + y + 107*y**2. Let x(s) = 3*g(s) + v(s). Is x(-1) a prime number?
True
Let q(j) = -j**3 - 7*j**2 + j + 2. Let z be q(-9). Suppose 5*s = 320 + z. Suppose -3*n - 2*n = -s. Is n a composite number?
False
Let c(w) = w**3 + 9*w**2 - 10*w + 6. Let r be c(-10). Suppose -6*a = 6 + r. Is a/(2/(-165)) + -2 prime?
True
Suppose 739088 = 1337*i - 1321*i. Is i a composite number?
True
Suppose 4*c - 3*s = 2*s - 8, c - 5*s = -17. Suppose -5*t - c*v = -2339, 3*v = -2*v - 10. Is t a composite number?
True
Suppose 3*n + 10412 = 155. Let t = -1954 - n. Is t composite?
True
Let b be 44/8 + (-1)/(-2). Let d be b/(-2) + -279 + -2. Let l = -129 - d. Is l a composite number?
True
Let a be 4*38 - (-7 + 4). Suppose a = 4*d - 277. Suppose d = 4*n - 168. Is n prime?
False
Let h(x) = -54*x**2 - 14*x - 6. Let w(f) = 107*f**2 + 29*f + 11. Let z(l) = -7*h(l) - 3*w(l). Is z(-4) a composite number?
False
Is (5 + 5 + -5)/(15/449763) a composite number?
False
Let y = 171 - 167. Let f be 4 - (0 + (-4)/2). Let j = f + y. Is j composite?
True
Is (-5)/1 + 9/(-3) + 5253 a prime number?
False
Let d = 373 - -39721. Is d prime?
False
Is (-13)/156*47907*28/(-3) prime?
False
Let m be (171/4 + -3)*-4. Let p = 0 - m. Suppose 4*v - p = v. Is v a prime number?
True
Let a = 2 + -5. Let b be -3 + (a - 0) + 6. Suppose r = -2, b = g + 3*r + r - 387. Is g a composite number?
True
Let r be -1 + (1 - (4 + -13)). Let q = r - 5. Suppose 1303 = 5*u - 4*m - 0*m, 0 = -q*u - 3*m + 1030. Is u a prime number?
False
Suppose 6 = 2*w, -3*w + 12 = 5*i - 17. Suppose m + i*n - 41 = 26, 0 = 2*n. Is m a prime number?
True
Suppose k + 2 = 0, -4*k + 2 = m + 4*m. Is (10 - 13) + m*155 a prime number?
True
Is (-2178547)/(-21) + (-8)/(-12) prime?
False
Suppose -x = 2*x - 9. Is x/(-6) + (-21165)/(-6) composite?
False
Let t(f) = 84*f + 45. Let q(d) = 17*d + 9. Let y(v) = 11*q(v) - 2*t(v). Let k be y(7). Suppose 0 = 5*u - 3*u - k. Is u a prime number?
True
Let z be -1 - 4/(-6) - 156584/(-69). Suppose -3*i + 92 = -z. Is i prime?
True
Let t = 1388 + -847. Is t prime?
True
Let b be -20*1295/10*-3. Suppose 7*v + b - 29876 = 0. Is v a composite number?
True
Let d(l) be the second derivative of -l**5/20 - l**4 - 11*l**3/6 + l**2/2 - 5*l. Let g be d(-8). Let b = -118 - g. Is b a composite number?
True
Let a(p) be the first derivative of 75*p**2/2 - 31*p - 22. Is a(10) composite?
False
Let q(w) = 5*w**3 - 32*w**2 + 13*w + 1. Let f be q(7). Let t be 1*52*(-5)/2. Let b = f + t. Is b a prime number?
True
Let v be 4985/1*(-10)/(-10). Suppose -v = -7*c + 8280. Is c prime?
False
Let a(l) = 9*l**2 - 21*l + 49. Is a(22) a prime number?
True
Let b = -3 | {
"pile_set_name": "DM Mathematics"
} |
.
-4
Solve 2*o + 2*u = -12, 2*o + 4*u = 3*o - 4 for o.
-4
Solve l = -4*o + 3*l - 26, 5*o - 3*l + 35 = 0 for o.
-4
Solve g = 2*p - 3*g + 12, 3*g - 11 = p for p.
4
Solve 0 = -4*m - 8*z + 16, -3*m + 16*z - 14*z = -4 for m.
2
Solve 6*k = 2*k + 3*m, k - 4*m = -13 for k.
3
Solve g = -2*c - 3*c + 14, -2*c = -5*g + 16 for c.
2
Solve -2*k - 7 = i, 0 = -17*k + 13*k + 4*i + 16 for k.
-1
Solve 5*a - 4 = 4*a + 5*g, -16 = -4*a + 4*g for a.
4
Solve 0 = -2*i - 4*z, -5*i + 14 = 4*z + 2 for i.
4
Solve 0 = -4*h - t + 8, -8*h - 2*t + 4 = -4*h for h.
3
Solve 5*x - 18 = -4*n + 8, 3*x - 2*n = -2 for x.
2
Solve -310*d + 305*d - 4*p - 20 = 0, -5*p = -4*d + 25 for d.
0
Solve -3*f - 21*c + 26*c = 15, f = 5*c - 5 for f.
-5
Solve 3 = -0*k - 3*k - 4*w, 0 = -5*k - 3*w - 5 for k.
-1
Solve 2*l - n + 5 = 0, 5*l + 0*l + 14 = 2*n for l.
-4
Solve -5*z = -7*f + 23, 2*f + 13 = -5*z + 26 for z.
1
Solve 3*o + 3 = 0, -5*v + 3*o - 14 = 3 for v.
-4
Solve -3*y - 2*y + 19 = 3*u, 2*u = 3*y - 19 for u.
-2
Solve -m = -f - 2, -6*f = -f + 4*m + 10 for f.
-2
Solve -6 = -3*w - 3*t, -3*w + 4*t + 2 = 5*t for w.
0
Solve 2*w = u - 6, 3*u = 5*w + 18 - 4 for u.
-2
Solve f - 6 = 4*y + 11, f - 12 = 3*y for y.
-5
Solve 2*p + 38 = -2*j + 22, 0 = -p + 5*j + 16 for p.
-4
Solve 2*n - 3*k = -4*k - 4, -4*k - 8 = 0 for n.
-1
Solve -2*t = -17 + 15, t = -f for f.
-1
Solve 0 = 3*n + 2 - 14, 2*n - 16 = 2*h for h.
-4
Solve -4*z = -h - 10 + 2, 4*z - 8 = 2*h for z.
2
Solve r = 2*j + 14, -13*r = 3*j - 14*r + 19 for j.
-5
Solve -2*m + k - 21 + 28 = 0, -3*k - 3 = 0 for m.
3
Solve 3*s + 3 = -4*n + 4, -3*s = -4*n + 7 for s.
-1
Solve -17 = -2*k + 5*u - 2, -u - 20 = 3*k for k.
-5
Solve -i - 4 = -3*m + 4*m, -4*i + m = 1 for i.
-1
Solve n - 3*h = -10, 16 - 2 = n + 5*h for n.
-1
Solve -3 = -q + 4*v, 24*q - 19*q - 5*v = 0 for q.
-1
Solve -y + 11*m = 10*m - 3, y - 9 = 3*m for y.
0
Solve 3*f - 4*z + 8 = 22, -18 = 4*f + 2*z for f.
-2
Solve 32*r - 31*r - 16 = -4*u, 5*r = -5*u + 20 for r.
0
Solve -n + 20 = 4*y, -y + 4*n = -0 - 5 for y.
5
Solve -3 = -4*g + 3*y, -2*g + 5 = -4*y + 1 for g.
0
Solve 3*c + 12*n - 14*n = 3, 2*n + 1 = c for c.
1
Solve 0 = -5*d + o - 14 + 25, -4*o = 3*d - 2 for d.
2
Solve 6*p = -b + 2*p + 17, 0 = -4*b + 4*p - 12 for b.
1
Solve -12 = -2*j + 3*m, -2*j + 3*m - 6*m - 12 = 0 for j.
0
Solve 14 = -2*a + 4*x, 4*a + 0*x + 23 = 3*x for a.
-5
Solve 5*l - 13 = p, 0 = 4*l - 20*p + 16*p - 20 for l.
2
Solve 4*j = -2*a + 6*a + 8, 3*j - 16 = 5*a for a.
-5
Solve 213*v - 217*v = c + 14, -2 = c + v for c.
2
Solve 245*i + 2*b + 6 = 240*i, -5*i + 9 = -3*b for i.
0
Solve -4*a - 2*i = 8, 3*i + 13 = -4*a + 3 for a.
-1
Solve -b - b = -3*x - 6, -2*x - 2*b = -6 for x.
0
Solve -2*y - 3*s = -20, 4*s = y + 16 - 4 for y.
4
Solve 10 = -4*a + 2*l + 4, 1 = -2*a + 3*l for a.
-2
Solve 4*l - 2 = 2*s + 12, 2*s - 2*l = -2 for s.
5
Solve 5*y + 4 = -t - 14, -y = -5*t + 14 for t.
2
Solve 0 = -4*u + 3*r + 14, -3*r + 1 = u + 5 for u.
2
Solve 0 = -2*x + 5*b - 27, -101 = 4*x - 3*b - 68 for x.
-6
Solve 3*v = -3*d, 4*d - 6 = 14 for v.
-5
Solve 3*f + l - 7 = 0, 6*l + 3 = 2*f + 7*l for f.
4
Solve -c + 7 = 4*w + 2, 0 = 2*c + 6 for w.
2
Solve 8 = 4*q, -46 = -5*t - 4*q - 53 for t.
-3
Solve -k - 62*t = -59*t - 3, -4*k - 8 = 2*t for k.
-3
Solve -f - 18 = -5*q, -5*f + 11 = 5*q - 19 for q.
4
Solve 2*y - 4 = 6*o - 4*o, -8 = -y - 5*o for y.
3
Solve -9 = 3*r - 2*j, 5*r - j = -18 + 3 for r.
-3
Solve -3*v - 13 = -7*v - 3*h, 15 = 4*v + h for v.
4
Solve 3*i - 6 = 0, 0 = 3*t + 2*i + 3 - 7 for t.
0
Solve 0 = -2*x + 2, 180 - 191 = -3*p + x for p.
4
Solve 2*x - 15 = -5*k, 5*k - 28 + 13 = 0 for x.
0
Solve 0 = 4*u - 12, 3*y + 2*u = 5*u - 9 for y.
0
Solve 0 = 5*v + 3*j - 10, j + 7 + 3 = 5*v for v.
2
Solve 0 = 5*p - 3*m - 9, 10 = -5*p + m + 23 for p.
3
Solve -3 = 3*n, 5*j + 3*n + 8 = -10 for j.
-3
Solve 5*j - f = -4 - 11, 26 = -3*j + 4*f for j.
-2
Solve 0 = -0*l + 4*l + 3*r - 15, 2*l - 4 = 2*r for l.
3
Solve -2*d = -2*z + 2, 38*z = -5*d + 36*z + 30 for d.
4
Solve 4*v = 5*r - r - 16, 5*r - 30 = -5*v for r.
5
Solve -3*u - 4*n - 12 = 0, 2*u + 4*n = 5*u - 12 for u.
0
Solve 5*t + 0 = -y + 15, -5*t + 20 = 2*y for y.
5
Solve 2*i - 5*d + 9*d + 10 = 0, 5*d + 19 = 4*i for i.
1
Solve 3*d + 9*j - 12*j = 21, -2*j = 3*d - 1 for d.
3
Solve -4*w + 4 = -3*u, -u = 4*w - 16 + 12 for w.
1
Solve 4*f + 3*o + 33 - 48 = 0, -5*o + 5 = 0 for f.
3
Solve -22*t - 2*k = -23*t - 8, -t + 5*k = 14 for t.
-4
Solve 3*g + 3*h = -3 - 0, -4*h = -3*g - 10 for g.
-2
Solve -5*n = 2*w + 9, -n - 5*w + 0 = -12 for n.
-3
Solve -5*x = 3*u + 13, -u = 3*u - x + 2 for u.
-1
Solve 4*a - 4*u = 0, -a = -2*u + 4*u + 3 for a.
-1
Solve 2*f + 4*l - 10 = f, 5*l - 20 = -5*f for f.
2
Solve -3*w - 10 = 5*z + 6, 0 = -5*z - 10 for w.
-2
Solve -2*b + 4 = -5*a, 4*b - 20*a = -15*a - 2 for b.
-3
Solve -3*d = 2*f - 5, 5*f = f + 4*d for f.
1
Solve 0 = 4*g + 3*a - 6*a - 24, a = 5*g - 19 for g.
3
Solve -4*u = 5*m - 12, -2*u = 2*m - 0 - 6 for m.
0
Solve -5*p + 19 = 4*d - 10*p, 7 = -2*d - 3*p for d.
1
Solve -2*g = 3*u + 7, -2*g + 0 = -3*u - 11 for u.
-3
Solve -4*l + 3*x - 16 = 0, l + 5 + 4 = 2*x for l.
-1
Solve t - 2*s = -2, -5*t + 3 + 5 = -s for t.
2
Solve 0 = -2*z + 3*o - 10, -5*z + 10*o = 6*o + 11 for z.
1
Solve -a = 2*a - 4*g - 29, 0 = a - 2*g - 13 for a.
3
Solve 0 = 2*b - 5*g - g - 6, -b = -2*g - 3 for b.
3
Solve -11*l + 15*l - o = -18, 0 = l - o + 3 for l.
-5
Solve 3*d - 36*f + 1 = -38*f, 9 = -5*d + 4*f for d.
-1
Solve 0 = p + 3*l - 20 + 14, -2 = 3*p - l for p.
0
Solve -4*z - 20 = 0, -8*d + 4*z + 30 = -10*d for d.
-5
Solve 0 = -o - 2, 2*o + 30 = -8*m + 7*o for m.
-5
Solve 3*z + a = -2*z, 3*a = -2*z for z.
0
Solve 2*j - 4*v = 6, 3*j - 5*v - 1 = -3*v for j.
-1
Solve -2*u - 7 = p + 3*u, u + 17 = 5*p for p.
3
Solve -2*c = -2*z - 2, -2*c + 7 = z - 4 for z.
3
Solve -4*c - 2 = 3*p, -3*p - 10 = 11*c - 15*c for p.
-2
Solve -17 = 5*k - o, 2*k = 3*k - 2*o + 7 for k.
-3
Solve -4*y = y - 5, -2*c = y - 1 for c.
0
Solve 25 = -5*r, t - 5*r - 29 = 2*t for t.
-4
Solve 3*d - 4*b - 3 + 22 = 0, 4*d = 3*b - 16 for d.
-1
Solve -4*m - 5*r = 13, m = 3*r - 4*r - 3 for m.
-2
Solve 8*x - 4*x = -3*t + 23, 10 = 3*x - 5*t for x.
5
Solve 6 = 5*j - 3*y - 20, -3*j + y + 14 = 0 for j.
4
Solve -2*u = 3*l - 3, l - 2*l = -5*u - 18 for l.
3
Solve -w = 2*m + m + 20, -3*m - 35 = 4*w for w.
-5
Solve -2*p - m = 6, 5*p + 4*m = 2*p - 14 for p.
-2
Solve -2*p - 2*r = -2, 17*p - 13*p - 2*r + 20 = 0 for p.
-3
Solve -15 = -3*o + 3*f + 6, -f = -3*o + 11 for o.
2
Solve 10*i - 5*i + k = -3, 0 = -3*k + 6 for i.
-1
Solve -5*o - 4*z - 16 = 0, -2*o + 5*o + 5*z = -7 for o.
-4
Solve 4*y = -d - 0*d + 11, 0 = -4*d + 12 for y.
2
Solve -3*u - 3*h = 17 - 26, -h + 2 = 0 for u.
1
Solve 0 = 2*r + 45*d - 42*d - 7, 3*r + 3*d = 9 for r.
2
Solve 1 = 3*m - 5*g + 26, -7 = 3*m + 4*g for m.
-5
Solve b - 12 = 4*u + 8, 0 = -4*b - u - 22 for b.
-4
Solve -4*i = 5*n + 9, -12*i + 7*i - 6 = n for i.
-1
Solve m = -4*f, 2*m + 12 = 5*f - 1 for m.
-4
Solve -3*s = -3*t, -4*s + 12 = 5*t - 15 for t.
3
Solve -37*f + 33*f = 0, 0 = 2*j - 2*f for j.
0
Solve t - 10 + 9 = m, 2*m - 5 = -5*t for m.
0
Solve 3*w + 12 = 0, w - 4 = b + 3*w for b.
4
Solve 5*c = -5*t, c + 4*t = -t for c.
0
Solve -5*v + 6 = -n - 8, 0 = 2*v - 4 for n.
-4
Solve 4*c + 0 = v - 2, 3*c + 13 = -5*v for v.
-2
Solve -3*q = 2*n, 30*q = 4*n + 29*q for n.
0
Solve 4*t - 12 = -6*s + 2*s, 0 = 3*s - t - 1 for s.
1
Solve 0 = -q - 3*z - 2 + 3, -4*q - 4*z + 4 = 0 for q.
1
Solve 0 = 2*u - 5*l + 573 - 589, 10 = -5*l for u.
3
Solve 0 = l + 3*z - 1, 3*z = l - 0*z - 1 for l.
1
Solve n = 3*t + 8, -3*n - 2 - 10 = 3*t for t.
-3
Solve s = -3*r + 6 + 8, 6 = 3*r - 3*s for r.
4
Solve -4*c = -z + 29 - 9, 3*z - 2*c - 10 = 0 for z.
0
Solve -g = -4*d - 17, 0 = 4*d - 3 + 15 for g.
5
Solve 0 = -p + 2*p, 0 = -q - 3*p + 3 for q.
3
Solve 8*p + 3 = a + 4*p, 3*a = -5*p + 9 for a.
3
Solve -4*q - 118*w + 20 = -116*w, 10 = 2*q - 5*w for q.
5
Solve 3*t = 5*y + 37, 9 - 5 = -4*t - 4*y for t.
4
Solve 0 = 3*l - 4*i + 11, 21 = -4*l - 3*i + 2*i for l.
-5
Solve 0*s + 4*l + 9 = 5*s, -s - 3 = -2*l for s.
5
Solve 0 = 4*p + t + 9, -4*t + 20 - 31 = -9*p for p.
-1
Solve 2*u = 4*w - 2*u, 4*u = -w + 25 for w.
5
Solve -2*p = -2*h + h - 6, 3*h + 13 = 5*p for h.
4
Solve 8 = 4*f + 4*x, 6*f - 9 = 2*f - 5*x for f.
1
Solve 2*i - 6 = -4*h, 4*i + 7 + 1 = -3*h for i.
-5
Solve -213*d + 214*d = 2*t - 3, 3*d + 4*t - 11 = 0 for d.
1 | {
"pile_set_name": "DM Mathematics"
} |
= u - 1, 0*u - 9 = -5*s - u. Determine w, given that -9/2 - 3/2*w**s - 6*w = 0.
-3, -1
Suppose -j = -4 - 3. Let m = j - 5. What is p in -m*p**5 - 3*p**4 + 3*p**5 + 4*p**4 = 0?
-1, 0
Let h be 1 + -3 + -3 + 1. Let r = 6 + h. Factor -1 + o**5 + o + 0*o**4 + 5*o**r - 3*o**2 - o**4 - 2*o**3.
(o - 1)**3*(o + 1)**2
Suppose 24 = 16*a - 40. Determine n so that -13/2*n**2 - 137/4*n**3 + 9*n + 42*n**a - 49/4*n**5 + 2 = 0.
-2/7, 1, 2
Let b = -9 - -11. Let m(o) = -o**2 - 7*o - 4. Let j be m(-6). Let 2*h**3 - 5*h**3 + j*h**3 + h**b = 0. Calculate h.
0, 1
Let c(r) be the second derivative of r**5/130 - r**4/39 + r**3/39 - 16*r. Solve c(q) = 0 for q.
0, 1
Let p(c) be the third derivative of -c**6/120 + c**5/20 - c**3/6 + 9*c**2. Let i(v) be the first derivative of p(v). Suppose i(x) = 0. Calculate x.
0, 2
Let 0 - 1/4*c - 1/4*c**2 = 0. Calculate c.
-1, 0
Let l(n) be the first derivative of n**6/8 + 7*n**5/20 + 5*n**4/16 + n**3/12 - 3. Factor l(x).
x**2*(x + 1)**2*(3*x + 1)/4
Let -21/5*s**2 + 9*s - 27/5 + 3/5*s**3 = 0. What is s?
1, 3
Let f(l) be the first derivative of -5*l**9/3024 - l**8/240 - l**7/420 + 2*l**3 + 9. Let r(k) be the third derivative of f(k). Let r(n) = 0. Calculate n.
-1, -2/5, 0
Let h(q) be the first derivative of q**6 + 28*q**5/5 + 11*q**4 + 8*q**3 - q**2 - 4*q - 7. Factor h(i).
2*(i + 1)**3*(i + 2)*(3*i - 1)
Let i = 73/324 - -2/81. Let w(c) be the third derivative of 0*c - 3*c**2 + 0 - 1/2*c**4 + i*c**5 + 3/40*c**6 - 2*c**3. Factor w(u).
3*(u - 1)*(u + 2)*(3*u + 2)
Factor 6/5*m**3 - 3/5*m + 0*m**2 + 0 + 0*m**4 - 3/5*m**5.
-3*m*(m - 1)**2*(m + 1)**2/5
Let -1/2 + v**2 - 1/2*v**4 + 0*v**3 + 0*v = 0. What is v?
-1, 1
Solve -f + 0*f + 2*f**2 - 3*f + 2 = 0 for f.
1
Let u(w) = -w**3 + 7*w**2 + 4*w. Let s(g) = -g**3 + 13*g**2 + 7*g. Let z(v) = 4*s(v) - 7*u(v). Let z(p) = 0. Calculate p.
-1, 0
Factor -4*w - 4*w**2 + 24 + 4*w**3 + 20 + 4*w**4 - 44.
4*w*(w - 1)*(w + 1)**2
Let i(d) be the first derivative of -d**4/4 + d**3 + 9*d**2/2 - 2*d + 3. Let y(s) be the first derivative of i(s). Factor y(p).
-3*(p - 3)*(p + 1)
Let y(x) be the first derivative of -x**6/12 - 6*x**5/5 - 27*x**4/4 - 18*x**3 - 81*x**2/4 + 5. Factor y(f).
-f*(f + 3)**4/2
Let g(h) be the second derivative of 0 - 8/3*h**3 + 81/40*h**5 - 15/8*h**4 - h**2 - 2*h. Find o such that g(o) = 0.
-2/9, 1
Let x(m) be the third derivative of m**6/40 - 7*m**4/8 - 3*m**3 - 7*m**2. Factor x(h).
3*(h - 3)*(h + 1)*(h + 2)
Let l(q) be the first derivative of -q**6/18 - 2*q**5/15 + 2*q**3/9 + q**2/6 + 1. Factor l(a).
-a*(a - 1)*(a + 1)**3/3
Let k(g) be the first derivative of g**4/24 - g**3/6 + g**2/4 - g/6 - 8. Factor k(w).
(w - 1)**3/6
Suppose -5*n + 15 = 5*v, 5*v = 2*n - 5*n + 5. Let y(k) be the second derivative of 1/12*k**4 + 0 + 1/6*k**2 - k + 1/6*k**3 + 1/60*k**n. Factor y(w).
(w + 1)**3/3
Suppose 23 = 4*f + 3*x, -9 = 4*f - 3*x - 2. Let z be (-4)/(-3) + 22/6. Factor 1/4*m**z + 1/4*m**4 - 1/4*m**f + 0 - 1/4*m**3 + 0*m.
m**2*(m - 1)*(m + 1)**2/4
Let v = 839/40 - 108/5. Let j = -3/8 - v. Solve 1/2*c**3 + 1/2*c**2 - j*c**4 - 1/4*c - 1/4*c**5 - 1/4 = 0.
-1, 1
Suppose -40*m = -28*m - 24. Suppose 1/3*i**3 + 4*i - 2*i**m - 8/3 = 0. Calculate i.
2
Let t be 9 - (18 + -12)*1/2. Let u(k) be the third derivative of -1/9*k**3 + k**2 + 0*k - 1/9*k**4 + 0 - 1/45*k**t - 1/315*k**7 - 1/15*k**5. Factor u(h).
-2*(h + 1)**4/3
Let j = 23/8 + -17/8. Factor -3/4*r**2 - 3/4*r + 3/4*r**3 + j.
3*(r - 1)**2*(r + 1)/4
Let w be (-3 - 0)/(-3) - -2. Let r = w - 3. Factor 0*x + 1/3*x**2 + r + x**3 + 2/3*x**4.
x**2*(x + 1)*(2*x + 1)/3
Let x = 5 - 5. Find m, given that m + 16*m**5 + m - 14*m**5 + x*m - 4*m**3 = 0.
-1, 0, 1
Let r(z) be the first derivative of z**4/14 - 4*z**3/7 + 9*z**2/7 - 8*z/7 - 5. Factor r(j).
2*(j - 4)*(j - 1)**2/7
Let z = -42/59 - -2933/3540. Let w(f) be the third derivative of -1/40*f**6 - 1/3*f**3 + 0*f + 0 + 1/8*f**4 - 3*f**2 + z*f**5 - 1/42*f**7. Factor w(d).
-(d - 1)*(d + 1)**2*(5*d - 2)
Let u(w) be the third derivative of -w**6/900 + w**5/150 - w**4/60 + w**3/2 + 3*w**2. Let y(b) be the first derivative of u(b). Let y(m) = 0. What is m?
1
Let b be (-28)/(-10) + ((-84)/30 - -3). Factor 0*o - 1/4*o**2 + 3/4*o**b + 0.
o**2*(3*o - 1)/4
Let -8 + 8*g**2 + 4*g**3 - 2*g**2 + 2*g**2 - 4*g = 0. Calculate g.
-2, -1, 1
Let i(k) = -22*k**2 + 26*k + 12. Let c be ((-36)/15)/(3/(-10)). Let b(z) = 15*z**2 - 17*z - 8. Let x(t) = c*b(t) + 5*i(t). Factor x(u).
2*(u - 1)*(5*u + 2)
Suppose r = 5*j + 14, 4*r + 3*j = -r + 14. Factor -62*d**2 - 1 + 2*d - r*d + 61*d**2.
-(d + 1)**2
Let g(p) be the first derivative of p**6/9 - 2*p**5/5 + p**4/2 - 2*p**3/9 + 5. Factor g(z).
2*z**2*(z - 1)**3/3
Suppose -4*j = -14 + 2. What is w in 4*w**4 + j*w**3 + 3 + 2*w**4 - 3 + 3*w**5 = 0?
-1, 0
Let u(v) be the first derivative of -3*v**5/5 + 3*v**4/4 + 2*v**3 + 2. Suppose u(q) = 0. What is q?
-1, 0, 2
Suppose -2*p - 3*p = 0. Suppose 0 = 2*h - 3*a - 23, p = -8*h + 3*h - a + 15. Factor -j**3 - 2*j**3 - j**h + 2*j**3.
-j**3*(j + 1)
Suppose 44*m**4 - 78*m**3 - 8*m**5 - 22*m + 29*m**2 - 7*m**2 + 3 + 39*m**2 = 0. Calculate m.
1/2, 1, 3
Solve 3/2*j - 3/4 - 3/4*j**2 = 0.
1
Let d(o) be the second derivative of o**4/12 - 4*o**3/3 + 8*o**2 + 3*o. Let d(q) = 0. What is q?
4
Factor 16/3*v - 32 - 2/9*v**2.
-2*(v - 12)**2/9
Let l(v) be the first derivative of v**6/24 + v**5/10 - v**4/8 - v**3/3 + v**2/8 + v/2 + 6. Find j, given that l(j) = 0.
-2, -1, 1
Suppose -48 - 142*g + 4*g**2 - 151*g + 309*g = 0. Calculate g.
-6, 2
Suppose 1/5*u**3 + 0*u**2 + 0*u + 0 = 0. Calculate u.
0
Find f such that -3/5*f**2 + 3/5 + 0*f = 0.
-1, 1
Let n be (18/10)/((-2)/(-30)). Factor 2*a**4 + a**2 - 8 - n*a**2 + 10*a**3 - 22*a**3 - 24*a - 4*a**4.
-2*(a + 1)**2*(a + 2)**2
Let b(h) be the third derivative of h**8/2856 + 4*h**7/1785 + h**6/170 + 2*h**5/255 + h**4/204 + 5*h**2. Factor b(k).
2*k*(k + 1)**4/17
Let c(m) = -m - 6. Let s be c(-7). Let h = -1 + s. Factor 0*n - 2*n + n**2 + h*n + 1.
(n - 1)**2
Suppose -4*y + 0*y + 12 = 0. Factor 0*k**2 - 2*k**4 + 4*k - k**5 + 6*k**y - 5*k**2 + 15*k**2 - k**5.
-2*k*(k - 2)*(k + 1)**3
Let i(v) be the first derivative of 6*v**5/25 - 27*v**4/20 + 12*v**3/5 - 6*v**2/5 - 15. Suppose i(t) = 0. Calculate t.
0, 1/2, 2
Let k = -11 - 1. Let w = 12 + k. Factor 3/4*q**2 + w - 1/2*q.
q*(3*q - 2)/4
Let q(g) be the second derivative of 0 - 3/20*g**5 + 3/2*g**3 + 3*g**2 + g + 0*g**4. Suppose q(x) = 0. Calculate x.
-1, 2
Let c = -65 - -65. Factor 5/2*a**3 + 0 + c*a - 1/2*a**2.
a**2*(5*a - 1)/2
Determine d, given that -16*d**2 - 7*d - 7*d + 2*d**5 + 4*d**4 - 6 - 4*d**3 + 2 = 0.
-1, 2
Let u(i) = i**2 + i - 27. Let o be u(0). Let g be 1/((-3)/(o/3)). Let -h**g + 2 - 2*h**2 + 2*h + 0*h**3 - h**3 = 0. Calculate h.
-1, 1
Let l be 100/12 - (-2)/3. Suppose -p**3 + 6*p**2 - l*p**4 + 6*p**4 + p**3 - 3 = 0. Calculate p.
-1, 1
Let l = 13 + -26. Let w(g) = -15*g**2 + 21*g + 7. Let o(i) = -7*i**2 + 10*i + 3. Let v(x) = l*o(x) + 6*w(x). Determine h so that v(h) = 0.
1, 3
Suppose -5*y = 2*t - 29, 0 = -7*t + 3*t - y + 13. Solve 5*z**t - 3*z**2 + 2*z**2 - 16*z + 11 + 5 = 0.
2
Let j = -47 - -50. Suppose 0*p = -p + j. Factor 0 + 1/2*a**p + a**2 + 1/2*a.
a*(a + 1)**2/2
Let j(z) = 8*z**3 + 3*z**2. Let h(p) = p**2 - 8*p + 1. Let k be h(6). Let s(y) = 3*y**3 + y**2. Let f(r) = k*s(r) + 4*j(r). Factor f(m).
-m**2*(m - 1)
Let m be 4 + 3/(-9)*0. Suppose n = m*n - 12. Factor n*o**2 - 2*o**2 - 4*o**2 - 4*o.
-2*o*(o + 2)
Let l = 26 - 22. Suppose -l*k + 7*k = 0. Factor 0*w**2 + 0 + 0*w**3 - 1/5*w**4 + k*w.
-w**4/5
Let d(o) be the first derivative of -9*o**6/10 + 117*o**5/25 - 6*o**4 + 12*o**3/5 + 4. Factor d(v).
-3*v**2*(v - 3)*(3*v - 2)**2/5
Find o, given that 10*o**4 + 10*o**2 + 0 + 0*o - 5/3*o**5 - 55/3*o**3 = 0.
0, 1, 2, 3
Let n(b) be the second derivative of 0 - 1/180*b**6 + 1/20*b**5 + 2/3*b**3 + 0*b**2 - b - 1/6*b**4. Let l(g) be the second derivative of n(g). Solve l(j) = 0.
1, 2
Let l(r) be the second derivative of r**6/135 - 2*r**5/45 - r**4/54 + 4*r**3/27 - 51*r. Factor l(w).
2*w*(w - 4)*(w - 1)*(w + 1)/9
Let d be (2/(-6))/(2/(-114)). Let h = d + -19. Find u, given that -1/4*u**2 + 1/4*u**3 + h + 0*u = 0.
0, 1
Let i be -1 + -1 - (-75)/15. Let y(b) be the third derivative of -1/120*b**6 + b**2 + 0 + 0*b**4 + 0*b + 0*b**i - 1/60*b**5. Let y(s) = 0. Calculate s.
-1, 0
Suppose 2* | {
"pile_set_name": "DM Mathematics"
} |
Calculate prob of picking 2 m and 2 u when four letters picked without replacement from {u: 3, q: 3, n: 2, m: 5, p: 2}.
2/91
Three letters picked without replacement from mqmccaqcqqt. What is prob of picking 1 q, 1 a, and 1 c?
4/55
Calculate prob of picking 1 o, 1 a, 1 k, and 1 h when four letters picked without replacement from kooauaouhuokuuuu.
4/455
Four letters picked without replacement from {z: 2, q: 4, w: 7}. Give prob of picking 1 w and 3 q.
28/715
What is prob of picking 3 n when three letters picked without replacement from {n: 6, q: 6}?
1/11
Two letters picked without replacement from lylllly. Give prob of picking 2 l.
10/21
Calculate prob of picking 2 q and 1 c when three letters picked without replacement from nccnqnnnnnnnqn.
1/182
What is prob of picking 2 p and 2 r when four letters picked without replacement from rprpppp?
2/7
What is prob of picking 2 m and 1 a when three letters picked without replacement from {a: 6, o: 2, s: 2, f: 3, m: 3}?
9/280
Four letters picked without replacement from {j: 2, z: 3}. What is prob of picking 2 z and 2 j?
3/5
Calculate prob of picking 1 d, 1 i, and 1 q when three letters picked without replacement from {y: 2, f: 1, i: 4, d: 1, q: 1}.
1/21
Three letters picked without replacement from {s: 1, q: 2, t: 2}. Give prob of picking 2 t and 1 s.
1/10
Two letters picked without replacement from llllulluuulllullll. What is prob of picking 2 u?
10/153
Three letters picked without replacement from kyyykykkkkykkyykyky. What is prob of picking 2 y and 1 k?
120/323
What is prob of picking 2 q, 1 t, and 1 e when four letters picked without replacement from eqtmqgs?
1/35
Calculate prob of picking 1 w and 3 p when four letters picked without replacement from {a: 2, w: 3, p: 3}.
3/70
What is prob of picking 2 b and 1 d when three letters picked without replacement from {b: 3, q: 2, d: 1, o: 2, t: 3, v: 7}?
1/272
What is prob of picking 3 d and 1 y when four letters picked without replacement from {d: 3, x: 1, j: 4, y: 3}?
1/110
Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {q: 1, w: 12}.
2/13
Two letters picked without replacement from {x: 1, f: 5, d: 2, y: 4, e: 2, k: 1}. Give prob of picking 1 f and 1 k.
1/21
What is prob of picking 1 u and 1 g when two letters picked without replacement from {z: 1, r: 4, u: 2, g: 2, d: 1}?
4/45
Two letters picked without replacement from {v: 8, p: 3}. What is prob of picking 1 p and 1 v?
24/55
Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {g: 4, u: 9, o: 4, j: 1, v: 1}.
1/171
What is prob of picking 2 p when two letters picked without replacement from {p: 9, q: 5}?
36/91
Two letters picked without replacement from nbllclqqdlbbddcqd. What is prob of picking 2 l?
3/68
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from cnfcfncnnccnjcnccc.
2/17
Three letters picked without replacement from mmmmmmmmmmmmmmummmm. Give prob of picking 3 m.
16/19
Four letters picked without replacement from {e: 2, c: 1, w: 1, b: 3, q: 6}. Give prob of picking 1 q, 1 c, and 2 w.
0
What is prob of picking 1 z and 2 h when three letters picked without replacement from {h: 3, j: 5, z: 1}?
1/28
What is prob of picking 1 q and 1 j when two letters picked without replacement from {g: 2, q: 3, j: 4}?
1/3
Calculate prob of picking 3 c and 1 q when four letters picked without replacement from qcqqccqqqcqqqqqcccq.
35/323
Two letters picked without replacement from qmqrhqr. What is prob of picking 1 h and 1 r?
2/21
Two letters picked without replacement from rnfdkffrfdrfkfdlk. What is prob of picking 2 r?
3/136
Four letters picked without replacement from gvggvkktvvdvdgduuv. What is prob of picking 2 k and 2 g?
1/510
Two letters picked without replacement from slblkttttkbtttt. What is prob of picking 1 b and 1 t?
16/105
What is prob of picking 2 f and 2 x when four letters picked without replacement from qqooxoxofxqqffx?
6/455
What is prob of picking 1 x and 1 h when two letters picked without replacement from {x: 2, h: 4, w: 1}?
8/21
Four letters picked without replacement from {s: 3, a: 3, b: 2}. What is prob of picking 1 b, 1 a, and 2 s?
9/35
Calculate prob of picking 1 g and 1 b when two letters picked without replacement from cgccbggg.
1/7
What is prob of picking 3 u and 1 r when four letters picked without replacement from uvuuuuurrruruvuuuv?
11/51
Four letters picked without replacement from {b: 1, v: 2, a: 1, h: 1}. What is prob of picking 2 v, 1 b, and 1 h?
1/5
Calculate prob of picking 3 v when three letters picked without replacement from ovvoooooooooovvovooo.
1/114
Four letters picked without replacement from fgxxgxxf. Give prob of picking 2 f and 2 x.
3/35
Calculate prob of picking 1 b, 1 x, and 1 w when three letters picked without replacement from wbwwxwbwbbb.
5/33
Four letters picked without replacement from sizhzhspspszsfispp. Give prob of picking 2 i, 1 z, and 1 h.
1/510
Calculate prob of picking 1 a, 2 b, and 1 h when four letters picked without replacement from {b: 2, h: 1, f: 1, c: 1, j: 1, a: 1}.
1/35
Three letters picked without replacement from essseseseeesseesess. Give prob of picking 1 s and 2 e.
120/323
What is prob of picking 1 m and 2 p when three letters picked without replacement from mppmpmpmmrm?
12/55
Three letters picked without replacement from wjjhjzzzzzzzwzzzhhjj. Give prob of picking 3 j.
1/114
Four letters picked without replacement from errerrrrrmerrrmrrr. Give prob of picking 2 m and 2 e.
1/1020
What is prob of picking 3 n when three letters picked without replacement from {n: 7}?
1
Calculate prob of picking 3 v when three letters picked without replacement from vvvqqvv.
2/7
What is prob of picking 1 k and 2 n when three letters picked without replacement from fkfnkffcnnffk?
9/286
Four letters picked without replacement from {h: 1, g: 2, u: 2, f: 1, p: 5, q: 4}. What is prob of picking 1 f, 2 q, and 1 g?
4/455
Calculate prob of picking 1 l, 2 e, and 1 w when four letters picked without replacement from oleclwcolczclww.
0
What is prob of picking 2 o and 2 s when four letters picked without replacement from {o: 12, s: 6}?
11/34
Four letters picked without replacement from {p: 6, t: 3, b: 6}. Give prob of picking 3 p and 1 b.
8/91
Four letters picked without replacement from zzzmpllpppzzllzmzm. What is prob of picking 3 z and 1 p?
7/153
What is prob of picking 2 n when two letters picked without replacement from {y: 7, n: 2, f: 3}?
1/66
Calculate prob of picking 2 o when two letters picked without replacement from {m: 3, o: 15}.
35/51
Three letters picked without replacement from eekmejeee. What is prob of picking 1 j and 2 k?
0
Four letters picked without replacement from {p: 1, d: 1, x: 5, a: 2, c: 3, q: 3}. Give prob of picking 1 c, 1 p, and 2 d.
0
Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {m: 1, y: 2, z: 1}.
1/3
What is prob of picking 4 h when four letters picked without replacement from hlhhhlc?
1/35
Three letters picked without replacement from mttodqiqd. What is prob of picking 1 m and 2 q?
1/84
What is prob of picking 1 n, 1 k, and 1 c when three letters picked without replacement from enxkc?
1/10
Calculate prob of picking 1 n and 1 x when two letters picked without replacement from lnulghhxlxlg.
1/33
Three letters picked without replacement from bjqvqvqrqirqvvr. Give prob of picking 1 b, 1 j, and 1 v.
4/455
Two letters picked without replacement from ysksavg. Give prob of picking 1 k and 1 g.
1/21
Two letters picked without replacement from {p: 12, f: 1, m: 5}. What is prob of picking 1 p and 1 f?
4/51
Calculate prob of picking 1 l and 3 r when four letters picked without replacement from rlrrllrlrhhrrlrh.
2/13
Calculate prob of picking 3 l and 1 o when four letters picked without replacement from clzcclluozlzbz.
4/1001
What is prob of picking 1 g and 1 d when two letters picked without replacement from dfdgeewdwwwed?
2/39
Calculate prob of picking 3 q and 1 d when four letters picked without replacement from ddddqddqdqqddd.
40/1001
Two letters picked without replacement from iiiiiqiqiii. Give prob of picking 2 q.
1/55
What is prob of picking 3 s when three letters picked without replacement from as | {
"pile_set_name": "DM Mathematics"
} |
of 1642761.
3, 17, 1193
What are the prime factors of 7637420?
2, 5, 7, 17, 3209
List the prime factors of 6410395.
5, 1282079
List the prime factors of 2776453.
31, 89563
What are the prime factors of 146222?
2, 113, 647
List the prime factors of 736361.
736361
List the prime factors of 1409649.
3, 61, 7703
What are the prime factors of 2624612?
2, 656153
What are the prime factors of 1489838?
2, 7, 106417
What are the prime factors of 21128660?
2, 5, 7, 150919
List the prime factors of 5179339.
11, 17, 27697
What are the prime factors of 6285873?
3, 11, 67, 2843
What are the prime factors of 1184422?
2, 19, 71, 439
What are the prime factors of 649803?
3, 7, 11, 29, 97
What are the prime factors of 8007175?
5, 11, 2647
List the prime factors of 8638.
2, 7, 617
What are the prime factors of 13980453?
3, 4660151
List the prime factors of 784005.
3, 5, 52267
List the prime factors of 330836.
2, 11, 73, 103
What are the prime factors of 851162?
2, 13, 19, 1723
List the prime factors of 1004121.
3, 31, 59, 61
List the prime factors of 2458426.
2, 1229213
List the prime factors of 20314500.
2, 3, 5, 29, 467
What are the prime factors of 2789958?
2, 3, 464993
What are the prime factors of 3544346?
2, 13, 23, 5927
What are the prime factors of 818437?
61, 13417
List the prime factors of 5149192.
2, 643649
What are the prime factors of 4403232?
2, 3, 15289
List the prime factors of 2944405.
5, 588881
What are the prime factors of 598275?
3, 5, 2659
List the prime factors of 136400.
2, 5, 11, 31
List the prime factors of 9363279.
3, 173, 18041
List the prime factors of 9271898.
2, 23, 353, 571
List the prime factors of 1000756.
2, 17, 14717
What are the prime factors of 22810854?
2, 3, 11, 31, 11149
List the prime factors of 27994654.
2, 13997327
What are the prime factors of 742941?
3, 82549
List the prime factors of 2910595.
5, 582119
What are the prime factors of 17357266?
2, 257, 33769
List the prime factors of 2277455.
5, 455491
What are the prime factors of 452295?
3, 5, 19, 23
What are the prime factors of 3182659?
3182659
What are the prime factors of 3306437?
19, 101, 1723
List the prime factors of 352167.
3, 117389
List the prime factors of 24531055.
5, 179, 27409
List the prime factors of 1247100.
2, 3, 5, 4157
What are the prime factors of 5635061?
617, 9133
What are the prime factors of 2236435?
5, 17, 83, 317
List the prime factors of 15491286.
2, 3, 83, 10369
List the prime factors of 459521.
459521
List the prime factors of 786300.
2, 3, 5, 2621
List the prime factors of 22427325.
3, 5, 263, 379
What are the prime factors of 420884?
2, 43, 2447
What are the prime factors of 868097?
83, 10459
What are the prime factors of 1257301?
599, 2099
What are the prime factors of 685513?
685513
What are the prime factors of 228823?
7, 97, 337
What are the prime factors of 1094233?
7, 156319
List the prime factors of 241625.
5, 1933
List the prime factors of 33875.
5, 271
What are the prime factors of 2833812?
2, 3, 19, 1381
List the prime factors of 691971.
3, 7, 83, 397
List the prime factors of 16616617.
16616617
List the prime factors of 6438134.
2, 3219067
List the prime factors of 190978.
2, 17, 41, 137
List the prime factors of 6174339.
3, 157, 13109
List the prime factors of 6815380.
2, 5, 11, 13, 2383
What are the prime factors of 135167?
17, 7951
What are the prime factors of 223371?
3, 8273
List the prime factors of 125581.
31, 4051
What are the prime factors of 1706135?
5, 341227
What are the prime factors of 41600?
2, 5, 13
List the prime factors of 31166.
2, 15583
List the prime factors of 26004.
2, 3, 11, 197
List the prime factors of 692961.
3, 101, 2287
What are the prime factors of 8015141?
8015141
List the prime factors of 1817542.
2, 908771
List the prime factors of 2209387.
419, 5273
What are the prime factors of 9277540?
2, 5, 307, 1511
List the prime factors of 970258.
2, 17, 28537
List the prime factors of 7550232.
2, 3, 41, 7673
List the prime factors of 6909275.
5, 276371
List the prime factors of 5238198.
2, 3, 7, 5939
List the prime factors of 1188171.
3, 132019
List the prime factors of 4678889.
29, 161341
List the prime factors of 2397562.
2, 131, 9151
What are the prime factors of 1234267?
47, 26261
What are the prime factors of 5772206?
2, 11, 59, 4447
List the prime factors of 154661.
13, 11897
What are the prime factors of 1663477?
1663477
What are the prime factors of 145670?
2, 5, 7, 2081
List the prime factors of 14049950.
2, 5, 487, 577
What are the prime factors of 378621?
3, 37, 379
What are the prime factors of 108204?
2, 3, 71, 127
What are the prime factors of 19096996?
2, 4774249
List the prime factors of 23207540.
2, 5, 29, 40013
What are the prime factors of 2930635?
5, 53, 11059
What are the prime factors of 2176412?
2, 7, 19, 4091
List the prime factors of 2781024.
2, 3, 59, 491
List the prime factors of 7303323.
3, 2434441
What are the prime factors of 3201023?
7, 65327
List the prime factors of 16996526.
2, 19, 313, 1429
What are the prime factors of 899098?
2, 449549
What are the prime factors of 315649?
83, 3803
What are the prime factors of 27531?
3, 7, 19, 23
List the prime factors of 713293.
7, 14557
What are the prime factors of 1145301?
3, 19, 71, 283
What are the prime factors of 220557?
3, 37, 1987
What are the prime factors of 306720?
2, 3, 5, 71
List the prime factors of 4564096.
2, 181, 197
List the prime factors of 2113714.
2, 41, 149, 173
List the prime factors of 539324.
2, 73, 1847
What are the prime factors of 1170443?
1170443
What are the prime factors of 532987?
7, 13, 5857
List the prime factors of 263552.
2, 29, 71
What are the prime factors of 2556469?
19, 197, 683
List the prime factors of 299601.
3, 33289
What are the prime factors of 695076?
2, 3, 57923
What are the prime factors of 5185085?
5, 17, 61001
What are the prime factors of 176294?
2, 181, 487
What are the prime factors of 2823584?
2, 88237
List the prime factors of 10976900.
2, 5, 11, 17, 587
List the prime factors of 413687.
19, 21773
List the prime factors of 172625.
5, 1381
List the prime factors of 1606129.
7, 199, 1153
What are the prime factors of 39507694?
2, 17, 1161991
What are the prime factors of 3739839?
3, 43, 53, 547
List the prime factors of 717870.
2, 3, 5, 23929
What are the prime factors of 929858?
2, 151, 3079
List the prime factors of 10191805.
5, 13, 156797
What are the prime factors of 1591103?
1591103
List the prime factors of 187950.
2, 3, 5, 7, 179
What are the prime factors of 61414?
2, 30707
List the prime factors of 878687.
53, 59, 281
What are the prime factors of 19534213?
61, 431, 743
List the prime factors of 1876507.
1876507
List the prime factors of 8800057.
7, 179593
List the prime factors of 205060.
2, 5, 10253
What are the prime factors of 190417?
17, 23, 487
List the prime factors of 494519.
494519
List the prime factors of 247043.
23, 467
List the prime factors of 425636.
2, 97, 1097
What are the prime factors of 7830253?
1151, 6803
List the prime factors of 7177938.
2, 3, 1196323
List the prime factors of 478443.
3, 7, 22783
List the prime factors of 157547.
13, 12119
List the prime factors of 1985317.
1985317
List the prime factors of 5674916.
2, 13, 109133
List the prime factors of 706445.
5, 23, 6143
List the prime factors of 273050.
2, 5, 43, 127
What are the prime factors of 726723?
3, 80747
List the prime factors of 26588523.
3, 13, 103, 6619
List the prime factors of 1998711.
3, 11, 13, 1553
What are the prime factors of 10304667?
3, 23, 67, 743
List the prime factors of 1625398.
2, 812699
What are the prime factors of 77366?
2, 101, 383
What are the prime factors of 1448695?
5, 29, 97, 103
What are the prime factors of 712719?
3, 7, 419
What are the prime factors of 242380?
2, 5, 12119
What are the prime factors of 387585?
3, 5, 11, 29
What are the prime factors of 464728?
2, 11, 5281
List the prime factors of 10150071.
3, 17, 199021
List the prime factors of 3404749.
1061, 3209
What are the prime factors of 211739?
11, 19249
What are the prime factors of 23339887?
593, 39359
What are the prime factors of 3435807?
3, 1145269
List the prime factors of 460780.
2, 5, 23039
What are the prime factors of 118411?
118411
List the prime factors of 567220.
2, 5, 79, 35 | {
"pile_set_name": "DM Mathematics"
} |
- (-284)/(-14))/(4/12). Which is the closest to -5/6? (a) -30 (b) -2/11 (c) 4/7 (d) k
d
Let f = 1136.9 + -1136. Let l be (-8 + 11)/((-9)/(-2)). Let k = 0.6 - -2.4. Which is the nearest to l? (a) 1/6 (b) k (c) f
c
Let i = -3413.4 + 3413. Which is the closest to 1? (a) i (b) -0.1 (c) -0.2 (d) 1/2
d
Let w = -0.9 + -0.1. Let x be (-2 - 9) + (13 + -22 - -15). Which is the nearest to w? (a) x (b) -6/7 (c) -2/3
b
Let b = -201.6 + 201.3. What is the nearest to -0.1 in 0, 8, b, -1?
0
Let h = -0.32 - -0.02. Let p(w) = 2*w**2 + 2*w + 96. Let k be p(-9). Suppose k = -4*j + 256. Which is the closest to 4/9? (a) h (b) j (c) -3
a
Let b = 1 - -0.5. Let f = b + -1. Let l be (306/204)/((-6)/4). What is the nearest to -0.1 in l, -3/5, f?
-3/5
Let x = -80.47 + 81. Let v = -9805.1 + 9805. Which is the nearest to v? (a) x (b) 0.3 (c) -0.1 (d) -5
c
Suppose 132 = -8*z - 76. Let o be 16*3/z + (-4 - -6). What is the closest to o in 3, 0.5, -2?
0.5
Let f = 83 - 79. Let z = -49.5 + 7.5. Let s = -41.9 - z. What is the nearest to f in s, -2, -3?
s
Suppose 30 = 3*o - 2*q, 5*q + 10 + 5 = 0. Suppose 3*i = i + o. Let u = 0.3 + -0.1. Which is the closest to u? (a) 0.1 (b) -0.1 (c) i
a
Let z = 86.7 - 86.4. Which is the nearest to 27? (a) 5 (b) z (c) 3 (d) 1
a
Let m = -0.03 + 0.83. Let l = -267397/4 - -66850. Which is the closest to -1? (a) 0.3 (b) m (c) l
a
Let w = -0.47807 - -0.48227. What is the closest to w in 5, 2/7, -4?
2/7
Let w = 184 - 232. Let o = 51 + w. What is the nearest to -1/2 in o, 1, 3/2?
1
Suppose 5*f - 3*i = -25, -5*f + 10 = -7*f - 2*i. Let p be f - 18/(-6) - 30/(-13). Which is the nearest to -2? (a) 3 (b) p (c) -4
c
Suppose 0 = -3*d - 6*q + 11*q - 21, -3*d = -2*q + 12. Let c be (-1 - (d + 4)) + 4425/1425. Let p = -2 - -1.5. What is the nearest to c in 4, -0.3, p?
-0.3
Let k = -306.1 + 306. Let b = -9.27 + 10.27. Let x = 16 + -58/3. What is the closest to k in x, -2, b?
b
Suppose -443 = 264*p + 2197. What is the closest to 1 in 116, p, 5, 2?
2
Let q = 135367/13 + -10413. What is the closest to 0 in q, -0.2, 0.08, -2/3?
0.08
Let t = -0.3003 - -56.3003. Let r = 81 - 27. Let j = t - r. Which is the closest to -2? (a) -3 (b) j (c) -5
a
Let j = -0.3 + 0.5. Let q = -6737 + 6732. Which is the nearest to -1.1? (a) 3/7 (b) j (c) q
b
Let z be (7/(-42))/((-26)/52). What is the nearest to 5 in 1/6, -0.1, -2/31, z?
z
Let q = -0.58739 - -0.98739. Let w = -8 - -4. Which is the closest to -12? (a) 2 (b) q (c) w
c
Let q = 5.3 - 5. Let c = -712552.9 + 712553. What is the nearest to 0.1 in c, -5, 4, q?
c
Let u = 0.09 - -0.01. Let r = 0 - -0.2. Suppose 47*q = -0*q - 47. What is the closest to u in r, 4, q?
r
Let q = -8497 - -8499. What is the closest to q in -0.06, -1, -0.3, -35?
-0.06
Let l(p) = -3 - 4*p - 54 - 17 - 2*p. Let f be l(-12). What is the closest to f in 2, -5, 2/7?
2/7
Let q be 36/(-9)*3/2. Let w be q/(-3) + (4 - 240/39). What is the closest to w in -4, 5, -0.01?
-0.01
Let a be ((-3)/(-5 - -2))/((-9)/108*-164). What is the closest to -0.2 in 5/3, a, -1/9?
-1/9
Let o = -16.7 - -27.93. Let b = o + -0.23. Let z be 16/8 + (-20)/4. What is the closest to z in 5, b, 4?
4
Let l = -6.56 - -7. Let q = l - 0.24. Let x = 10 + -18. Which is the closest to -0.1? (a) 4 (b) x (c) q
c
Let n = 4750.7 - 3215.8. Let b = n - 1535. Let q = 31/40 + 1/40. What is the nearest to -6 in 0.4, q, b?
b
Let z = -8426 - -42126/5. What is the nearest to -5 in 0.4, -1, z, -3?
-3
Let q = 51 - 50.7. Suppose 5*h + 2*s + 9 = 0, -3*s = -6*h + 2*h + 2. Let a be (h/(-6))/(3/9). What is the closest to a in -5/2, -2/3, q?
q
Let n(y) = y**2 + 53*y + 590. Let g be n(-16). Which is the nearest to 32? (a) 0.1 (b) 5 (c) g (d) 3
b
Let x be (18 - (-525)/(-30))*(-3 + 1). What is the closest to 1 in x, -64, -3?
x
Suppose -4*v + 275 = j, -2*j = -3*j + 5*v + 284. Let y = j - 270. Which is the nearest to 0.3? (a) -0.3 (b) -0.5 (c) y
a
Let h = 9 - 8. Let q = h - 0.9. Suppose -9*o = -15*o + 29*o. What is the closest to o in q, 5, 3?
q
Suppose -3*n = -2*n + 2. Suppose 3*t = -w + 141, -t + 4*w = 10 - 57. Let x be (1/8)/(48 - t). What is the closest to 0.1 in x, n, -5?
x
Let a = 4690 + -4689.8. What is the closest to -2.5 in a, 0.5, -22, 4?
a
Let y be (-4)/2*1/(-3). Let p = 75 - 527/7. Let u = 61970 + -61970. Which is the closest to p? (a) 4 (b) y (c) u
c
Let h be ((-10)/(-6))/((1485/22)/27). Which is the nearest to h? (a) 9 (b) -0.01 (c) -0.08 (d) 0.3
d
Let y = -6 + 5.5. Let i = 5 + 2. Let q be (16/70)/(-2)*(-4)/(48/42). Which is the closest to q? (a) 1/11 (b) y (c) i
a
Let k = 24 + -21. Suppose 16*y = 20*y - 4. Let d be 4*y + 266/(-56). What is the nearest to d in -4/3, k, -0.3?
-0.3
Let h = -0.08 + -2.92. Let m = -513 - -421. Let t be (-1)/((-4)/336*m) - -1. Which is the nearest to -2/9? (a) h (b) 1 (c) t
c
Let j = -2067 + 2064. Which is the closest to 11? (a) 0.5 (b) -2 (c) 1/8 (d) j
a
Let p = 1870 - 1854. What is the nearest to p in -1/4, 9, 1?
9
Let s be (-2382)/(-15880)*(-4)/3. What is the nearest to s in 3, -41, 4, -0.3?
-0.3
Let i = -34040 - -33609. What is the nearest to 0 in -1/5, i, -3/5, -3?
-1/5
Let j = 5042 - 5103. What is the nearest to 1/3 in -5, j, -3/2, 5?
-3/2
Let x be (-3)/(11 - 2) - (-845)/(-2535). Let g = 0.814 - -3.276. Let j = g + 0.01. What is the nearest to x in -1, -0.5, j?
-0.5
Let i be (3/(-4))/(9/(-15)). Let z = -0.052 - -663.052. Let o = -659 + z. What is the closest to -1 in i, -2/13, o?
-2/13
Suppose m + d + 4*d = -33, 0 = 2*d + 4. Let a(n) = -6*n - 136. Let g be a(m). What is the closest to g in 0.5, 1, -3?
1
Let q = -0.11 - -11.11. Let z = q - 10.9. Let o = -7.6 - -7.5. Which is the closest to o? (a) -0.1 (b) z (c) 5/6
a
Let q be (6*(-10)/(-120))/7*(-7)/2. What is the closest to -2/5 in q, 2/19, 0.05?
q
Let y be (-1356)/(-30)*(-6)/1. Let f = y - -271. What is the closest to -3 in 1/4, -7, f?
f
Let f = 5828 + -58281/10. Which is the closest to 1.3? (a) 5 (b) f (c) 0 (d) 0.7
d
Let w = -0.02 + 8.02. Let k = w + -7.3. Let t = 21.5 - 18.5. Which is the nearest to -0.1? (a) t (b) k (c) 0.4
c
Let j(c) = c**3 + 4*c**2 + 3*c - 2. Let r be j(-3). Let z = -17246.5 + 17247. What is the nearest to 1 in 5, z, r?
z
Let u = 642 - 671.1. Let x = 11.1 - u. Let r = 40 - x. Which is the nearest to r? (a) 3 (b) 3/4 (c) 0
c
Let i be -3*(2 - (-68)/(-33)). Let l = 191.11 - 191. Let x = -0.81 + l. Which is the nearest to -1/4? (a) i (b) -1 (c) x
a
Let x = 310.99 - 311. Let q = 30.5 - 23. Let m = q + -8. What is the nearest to -1 in m, x, 0.5?
m
Let j = 4.00954 + -0.00954. Which is the nearest to 0.1? (a) j (b) -3/4 (c) 0.3 (d) 0.24
d
Let h = 3061 + -3067. Which is the closest to -3? (a) h (b) 5 (c) -4 (d) -8
c
Let g be (-8)/28*(-6)/(-8)*2. Let l = 4.65 + -5.05. Let p be 5*(14/(-10) - -1). What is the closest to p in l, 0.3, g?
g
Let c(j) = j**2 + j - 34. Let u be c(-8). Let p = -0.02112 + 4.02112. What is the closest to -0.3 in p, -2, -0.2, u?
-0.2
Let l = -1.3 - -0.3. Let c(n) = -9*n**2 - 84*n - 22. Let g be c(-9). Let w be (-3 + 1)*(-2)/8. What is the nearest to l in -1, w, g?
-1
Let w = -0.17676 + 0.06676. What is the nearest to 2 in 2, w, 0?
2
Let f = -40.07 + -1.93. Let v = -365 + 406.3. Let s = f + v. Which is the closest to -1/3? (a) s (b) 3 (c) -0.1
c
Let y(g) = 13*g - 38. Let n be y(3). Let a be n + (-13)/(-22)*-2. Let b = -10 - -9.9. What is the nearest to -1/5 in b, -1/4, a?
a
Let o = -145 - -127. Let n = -13 + -6. Let h = n - o. What is the nearest to -3/4 in -0.6, h, -0.1?
-0.6
Suppose 0 = -3*k + 5*d - 79, -3*k + 30*d = 31*d + 85. Which is the closest to -3? (a) k (b) -3 (c) 14
b
Let v = -6219 + 6192. Which is the nearest to 0.1? (a) 2 (b) v (c) 0.3 (d) -3/5
c
Let q = 217 - 224. Let j = 10 - 2. Let z = j - 8.4. What is the nearest to q in z, -4, 5?
-4
Let f = 1669.2 - 1886.2. Which is the nearest to 4? (a) f (b) 2/3 (c) 2/5
b
Let i = 2/123 - -113/615. Which is the closest to i? (a) 0.19 (b) -3/2 (c) -2/17
a
Let q = 5391 - 5392. Let o = -1/5 + 17/10. Which is the nearest to 4? (a) 0.3 (b) q (c) o
c
Let j = 16157 - 16158. Let o = -6 - -1. Let u = -3 - -1. What is the closest to j in o, u, 5?
u
Let r = -5 + 5.1. Let w = 3.4483 + -3.1483. Which is the nearest to -8? (a) w (b) r (c) 2/3 | {
"pile_set_name": "DM Mathematics"
} |
6. Let t(x) = 4*x**2 + 16*x + 16. Let b(n) = -n**2 - 5*n - 5. Let g(q) = 16*b(q) + 5*t(q). Calculate i(g(u)).
24*u**2 - 6
Let l(j) = -4*j**2 - 18302*j. Let f(i) = i. What is f(l(z))?
-4*z**2 - 18302*z
Let c(l) = -3*l. Let m(p) be the second derivative of p**4 + p**2 + 582*p. Calculate m(c(o)).
108*o**2 + 2
Let q(g) = -781*g + 781*g + g**2. Let h(c) = 1881 - 1881 + 8*c + 5*c. Calculate h(q(b)).
13*b**2
Let s(o) be the first derivative of -o**3/3 - 15. Let r(f) = 0*f**2 + 3 - 3 - 7*f**2. What is s(r(q))?
-49*q**4
Let w(z) = 2*z. Suppose -20 = s - 3*s - 4*q, 0 = -q + 4. Let b(j) = s*j + 0*j - j - 4*j. What is w(b(t))?
-6*t
Let c(y) = y. Let v(h) = h + 4. Let t(z) = -1. Let o(f) = 1. Let m(a) = o(a) + 2*t(a). Let n(k) = 14*m(k) + 4*v(k). Give c(n(j)).
4*j + 2
Suppose -4*v + 0*v + 24 = 0. Let q(k) = -k - v*k + 8*k - 5*k. Let o(a) = -3*a. What is o(q(d))?
12*d
Let n(i) = 5*i + 7. Let l(j) = -2*j - 3. Let g(s) = -14*l(s) - 6*n(s). Let p(w) = w**2. Let k(x) = -23*x**2. Let b(z) = -k(z) - 46*p(z). Determine b(g(r)).
-92*r**2
Let k(x) = -2*x**2. Let i(o) = 2*o**2 + 5. Let g(s) = 2*s**2 + 4. Let m = 29 + -25. Let t(v) = m*i(v) - 5*g(v). Give t(k(w)).
-8*w**4
Let w(x) = -52574*x. Let v(k) = -k. Calculate v(w(y)).
52574*y
Let t(x) = -x + 15410. Let j(u) = 3*u. What is j(t(r))?
-3*r + 46230
Let x(r) = 6*r**2. Let q be (-11 - 1) + 6 + 35. Let j = 12 - -17. Let u(n) = j - q + 3*n. Calculate u(x(k)).
18*k**2
Let j(f) = 1 + 6 + 4 - 2*f**2 + 7 - 36. Let c(o) = 2*o. Give c(j(m)).
-4*m**2 - 36
Let m be ((-4)/(-2))/((-3)/18). Let v = m - -14. Let p(i) = -i + i**v + i - 5*i**2. Let x(y) = -3*y. Calculate x(p(u)).
12*u**2
Let u(s) = 4*s**2 + 3*s - 3. Let q(m) = m**2 + m - 1. Let g(b) = -3*q(b) + u(b). Let w(k) = -5*k**2 + 11*k**2 + 22*k**2 + 20*k**2. What is g(w(f))?
2304*f**4
Let w(o) = -o. Let u(k) = 11*k - 5. Let n(b) = -10*b + 3. Let s(a) = 7*n(a) + 6*u(a). Give s(w(h)).
4*h - 9
Let g(f) = 223*f - 3. Let n(q) = -q**2 - 15. Give n(g(u)).
-49729*u**2 + 1338*u - 24
Let i(u) = -11 + 22 - 3 + 15*u - 8. Let b(p) = 34*p. What is b(i(z))?
510*z
Let b(s) = -s - 22. Let v be b(-9). Let h = v - -15. Let j(w) = w**2 + 11*w**2 + 0*w**h. Let y(c) = -2*c**2. Give y(j(i)).
-288*i**4
Let x(w) = -w**2 - 1733*w + 1. Let f(d) = -2*d**2. What is x(f(s))?
-4*s**4 + 3466*s**2 + 1
Let v(z) be the first derivative of -9*z**2 - 280. Let t(q) = 11*q**2. Calculate v(t(b)).
-198*b**2
Let j(l) be the second derivative of -l**3/2 - 2*l. Let o(m) = -60*m**2 + 110*m**2 - 62*m**2. Determine j(o(x)).
36*x**2
Let s(l) = -104*l**2 - 32*l + 64. Let i(o) = -16*o**2 - 5*o + 10. Let b(u) = 32*i(u) - 5*s(u). Let k(v) = 3*v. Determine k(b(a)).
24*a**2
Suppose -5*p + 59 = -101. Let n(t) = 28*t + p*t + 31*t - 96*t. Let q(d) = -20*d. What is n(q(k))?
100*k
Let b(r) = 82*r. Let a(k) = -990*k. What is a(b(o))?
-81180*o
Let c(u) = 13*u. Let h(q) = 2*q + 713. What is h(c(o))?
26*o + 713
Let i(d) = -2*d + 2*d + d. Let x(j) = -1. Let m(b) = 2*b - 12. Let l(o) = m(o) - 12*x(o). Let c(h) = -h. Let u(z) = 9*c(z) + 4*l(z). What is u(i(r))?
-r
Let p(s) = 77484*s. Let z(t) = -t**2. What is p(z(g))?
-77484*g**2
Let f(l) be the first derivative of -l**2 + 27. Let a(g) = 7*g**2 - 7*g. Determine a(f(z)).
28*z**2 + 14*z
Let p(y) = -y. Let r(u) = -u - 7. Let a be r(-7). Suppose 2*g = -a*g + 4. Let k(i) = 4*i**2 + i**2 - 2*i**g. What is k(p(z))?
3*z**2
Let j = -74 + 76. Suppose -2*d = -3*s - 19, -3*d - 5*s - 16 = 3. Let v(i) = -i**2 - 7*i**2 + 6*i**j - 2*i**d. Let u(o) = o. Give v(u(p)).
-4*p**2
Suppose 4*c = 2 + 6. Suppose 0 - c = -i. Let a(n) = -2*n**2 - n**i + 5*n**2 + 0*n**2. Let s(u) = -u. Give a(s(j)).
2*j**2
Let c(v) be the first derivative of v**4/12 + 21*v - 36. Let m(n) be the first derivative of c(n). Let d(j) = 9*j. Calculate m(d(f)).
81*f**2
Let m(o) be the first derivative of -o**2 + 864. Let g(n) = 5*n**2 - 13. Determine m(g(h)).
-10*h**2 + 26
Let o(w) = 12*w**2 - 108*w - 5. Let n(v) = -17*v. Determine o(n(j)).
3468*j**2 + 1836*j - 5
Let a(s) = -2 - 183*s**2 + 170*s**2 + 2. Let l(t) = -259*t**2. Let w(g) = -119*a(g) + 6*l(g). Let h(j) = 4*j. Give w(h(b)).
-112*b**2
Let a(t) = -57*t - 1. Let z(q) = 741*q**2. Calculate a(z(r)).
-42237*r**2 - 1
Let z(n) = 26*n**2 + 2*n. Let d(l) = 3*l. Let j(r) = -10*r. Let y(q) = -14*d(q) - 4*j(q). Determine y(z(f)).
-52*f**2 - 4*f
Let o(a) = -11*a - 6. Let r(p) = -2*p + 6. Let z be r(6). Let d(y) = y + 1. Let k(h) = z*d(h) - o(h). Let i(t) = 5*t**2. Determine i(k(s)).
125*s**2
Let h(n) = -12*n**2 + 37*n**2 - 10*n**2 - 9*n**2. Let i(w) = 33*w**2. What is i(h(k))?
1188*k**4
Let l(c) be the third derivative of c**5/20 - 2*c**2. Let v(o) be the first derivative of -4*o**3/3 - 1. Give v(l(m)).
-36*m**4
Let z(w) = -w**2. Let p(c) = -196*c - 110 + 577*c - 190*c - 189*c. Give p(z(s)).
-2*s**2 - 110
Let m(k) = -39*k. Let x(v) be the first derivative of -11*v**2/2 + 88. What is m(x(r))?
429*r
Let x(g) = -g**2 + 3. Let y(p) = -2. Let c(k) = -2*x(k) - 3*y(k). Let m(q) = 230*q**2. Determine c(m(i)).
105800*i**4
Let u(o) = o**2 - 3*o. Let r(a) = a**2 - 7*a. Let m(n) = -6*r(n) + 14*u(n). Let l(i) = 2*i**2 + 292217 - 292217. Give l(m(t)).
128*t**4
Let c(a) = -6131*a. Let z(w) = -3*w**2. Determine c(z(l)).
18393*l**2
Let f(i) be the second derivative of -9*i**3/2 - i. Let o(c) be the first derivative of c**2 + 465. Calculate o(f(j)).
-54*j
Let c(f) = 8*f + 4*f - f. Suppose -4*o = -3*x - 23, -23 = 2*o - o + 5*x. Let b(j) = 2*j - 9*j + o*j + 6*j. Calculate b(c(r)).
11*r
Let c(i) = -i. Let q(n) = n - 4. Let o be q(6). Suppose 0 = -9*j - 9 + 36. Let t(z) = 2*z**2 + 4*z**2 + j*z**2 - 4*z**o. Give t(c(x)).
5*x**2
Let f(j) = -j - 1524. Let p(s) = 24*s - 2. What is f(p(a))?
-24*a - 1522
Let a(m) be the second derivative of 0*m**3 - 1/6*m**4 - 11*m + 0 + 0*m**2. Let x(b) = 7*b. Determine x(a(q)).
-14*q**2
Let z(f) be the second derivative of f**3 + 7*f. Let t(x) be the first derivative of -3*x**2/2 + 1. Determine t(z(o)).
-18*o
Suppose -3*p + 4*p - 5 = 0. Suppose 2*i + 4 = -r, 6*i = p*r + 3*i - 19. Let z(h) = 41*h - 41*h - r*h**2. Let d(n) = 3*n. Give d(z(a)).
-6*a**2
Let u(t) = -30*t + 9*t + 11*t + 5*t + 9*t. Let l(p) = -110*p**2. What is u(l(m))?
-440*m**2
Let a(z) be the third derivative of z**4/6 + 11*z**2 - 6. Let s(c) = 2*c**2 + 11. Determine s(a(y)).
32*y**2 + 11
Let u(c) = -273*c - 3. Let q(w) = 0 + 21*w - 8*w - 11*w + 0. What is q(u(m))?
-546*m - 6
Let f(y) = 6*y**2 - 11. Let r(x) = 6 - 27*x**2 + 48*x**2 - 24*x**2. Let k = -28 + 17. Let o(j) = k*r(j) - 6*f(j). Let l(n) = 5*n. Calculate l(o(p)).
-15*p**2
Let q(d) = -832*d**2. Let n(i) = -40*i**2. Determine q(n(c)).
-1331200*c**4
Let o(s) = -5*s. Let x(t) = -1 + 5*t + 16*t - 1 + 8*t + 10*t. Calculate x(o(c)).
-195*c - 2
Let o(t) = 8*t. Let i(h) be the first derivative of 5*h**2 - 148. Determine o(i(q)).
80*q
Let m(t) = 63*t. Let r(a) = -2449*a**2 + a - 3. Calculate m(r(w)).
-154287*w**2 + 63*w - 189
Let f(v) = v**2 - 12. Let y(l) = -2*l**2 + 9*l + 3. Let x(z) = -5*z**2 + 21*z + 7. Let c(t) = -6*x(t) + 14*y(t). Give f(c(p)).
4*p**4 - 12
Let d(z) = z**2 - 4*z + 6. Let i be d(4). Suppose -2*p + 0 = -i. Let j(x) = -p*x + 2*x - 4*x + 2*x. Let l(r) = -2*r. Calculate j(l(v)).
6*v
Let a(t) = 45 + 17 + 3*t**2 - 10. Let q(g) = g. What is a(q(f))?
3*f**2 + 52
Suppose -5*a - 21 = -4*j, a - 3 = -j - 0*a. Let r(t) = -4*t + j*t + 3*t. Let y(v) = -v + 6*v - 2*v - v. Give r(y(s)).
6*s
Let t(u) = 105182*u**2. Let f(w) = -2*w. Determine t(f(o)).
420728*o**2
Let i(z) = -46*z. Let d(n) = -14445*n. Determine i(d(g)).
664470*g
Let u(f) = 18*f**2. Let r(v) = 6*v**2 - 378*v. What is r(u(z))?
1944*z**4 - 6804*z**2
Let q = 137 + -137. Let b(k) be the third derivative of 0 + q*k**4 + 0*k - 2*k**2 + 0*k**3 + 1/20*k**5. Let o(g) = g**2. Give o(b(n)).
9*n**4
Let x(o) = -346 + 346 + 3*o. Let h(c) = 8*c**2. Give h(x(d)).
72*d**2
Let f(l) = -l**2. Let c(o) = 4*o + 2*o - 2*o + 8*o. Let m(j) be the third derivative of -j**4/8 + j**2. Let z(y) = -2*c(y) - 9*m(y). Give f(z(b)).
-9*b**2
Let o(g) = -4*g. Let y(n) be the second derivative of -n**3/2 + 19*n. Give y(o(f)).
12*f
Let g(b) = 3*b**2. Let u = 32 + -24. Suppose 0 = 4*o - u*o + 8. Let h(n) = -35 + 14 + 21 + n**o. Determine h(g(i)).
9*i**4
Let r(m) = 35*m - 5. Let g(j) = -36*j + 6. Let t(s) = -5*g(s) - 6*r(s). Let y(h) be the | {
"pile_set_name": "DM Mathematics"
} |
847454 + 4?
847458
In base 15, what is -3b - d2ce?
-d31a
In base 16, what is -4f9e + -7?
-4fa5
In base 6, what is -4232 + -5100?
-13332
In base 10, what is -4 + 45253?
45249
In base 9, what is 184 + 522?
716
In base 5, what is 14244 - -1124?
20423
In base 11, what is 8a0125 + 5?
8a012a
In base 12, what is -185aa9 - -1?
-185aa8
In base 4, what is -102 + 222312?
222210
In base 9, what is -1 + 134757?
134756
In base 5, what is -422331013 + 0?
-422331013
In base 9, what is -13160 - -1055?
-12104
In base 14, what is -5086 + 1?
-5085
In base 2, what is 10011011010000 - -100?
10011011010100
In base 6, what is 20430 + -1200?
15230
In base 10, what is 5 + -4981?
-4976
In base 5, what is -24001040 + -4?
-24001044
In base 12, what is -3 - -8957?
8954
In base 15, what is -65 - -292?
22c
In base 10, what is -3 - -51517?
51514
In base 10, what is 389514 + -2?
389512
In base 9, what is 13161 - -1?
13162
In base 7, what is -26302616 + 5?
-26302611
In base 7, what is -23 - 14641?
-14664
In base 16, what is -fb4 + -6?
-fba
In base 10, what is -150 - 252?
-402
In base 13, what is -76 - -2302?
2259
In base 3, what is 2121212 + 10?
2121222
In base 7, what is 4650 - 3?
4644
In base 15, what is -4 + -24a0e?
-24a13
In base 8, what is -360544 + -14?
-360560
In base 9, what is -314 + -248?
-563
In base 7, what is 11 - -131053?
131064
In base 15, what is -786 - 13?
-799
In base 11, what is 9 + 53571?
5357a
In base 8, what is 121470 + -3?
121465
In base 5, what is -1 - 4202301?
-4202302
In base 14, what is 16 + 3d74?
3d8a
In base 7, what is -3 + 434111?
434105
In base 15, what is -147 + ac?
-8a
In base 12, what is -2 - 55a10?
-55a12
In base 8, what is -7453 + 26?
-7425
In base 4, what is -132220 - -1012?
-131202
In base 8, what is 127543 + 11?
127554
In base 15, what is 10849 + -2?
10847
In base 9, what is -4 - 137538?
-137543
In base 8, what is 2 + -331063?
-331061
In base 5, what is -14040414 - 1?
-14040420
In base 5, what is -10403212 + 22?
-10403140
In base 5, what is -4 + -11142304?
-11142313
In base 9, what is -1 - 7251?
-7252
In base 5, what is -21 + 430333?
430312
In base 4, what is 1 - -12110322?
12110323
In base 9, what is 2 - -3764?
3766
In base 7, what is 1023422 - -2?
1023424
In base 10, what is 7697 + -4?
7693
In base 14, what is -8326 - -3d?
-82c7
In base 2, what is 1100 - 11001110110101110?
-11001110110100010
In base 9, what is -122553 - -1?
-122552
In base 2, what is -1011010000011010111 + 101?
-1011010000011010010
In base 14, what is 1 + -2033?
-2032
In base 8, what is 34640 - 51?
34567
In base 6, what is -12 - 232520?
-232532
In base 16, what is 687ff - 0?
687ff
In base 14, what is 2b8b - d6?
2a95
In base 10, what is 2483628 + 4?
2483632
In base 15, what is -2c - 11bbc?
-11be9
In base 4, what is 132 - 211012?
-210220
In base 12, what is -54415 + 31?
-543a4
In base 13, what is 2 + 2940?
2942
In base 7, what is -2021 + 5535?
3514
In base 5, what is -30322344 + 1?
-30322343
In base 4, what is -2013 + 3322?
1303
In base 8, what is -16343 - -223?
-16120
In base 13, what is 85a4 - 4?
85a0
In base 12, what is -211b2 + 51?
-21161
In base 2, what is -100100 - -101000001110?
100111101010
In base 9, what is -68 + -2306?
-2375
In base 5, what is -121210 + 1041?
-120114
In base 14, what is -6 - d181?
-d187
In base 4, what is 2330 + -220121?
-211131
In base 16, what is -5 - 18fc1?
-18fc6
In base 8, what is 215 + 543?
760
In base 16, what is -d4 - 39a?
-46e
In base 5, what is -2 + 11304014?
11304012
In base 15, what is -4 - -4e28?
4e24
In base 2, what is 101001000 - 101000100010?
-100011011010
In base 14, what is -5840 - 3?
-5843
In base 7, what is 1234 + 25505?
30042
In base 16, what is -165676 + -1?
-165677
In base 7, what is -3 + -2624604?
-2624610
In base 2, what is -1110011011 - -1010101110?
-11101101
In base 10, what is -5 + 173890?
173885
In base 5, what is -243204223 - -2?
-243204221
In base 13, what is -55521 - -1a?
-55504
In base 14, what is 40 - -714?
754
In base 11, what is 19a1 + -2?
199a
In base 16, what is 4b3 + 60?
513
In base 15, what is -16 - -2b96?
2b80
In base 13, what is -ab28 - -b?
-ab1a
In base 3, what is -1010 - -111000?
102220
In base 7, what is 33362 + -11?
33351
In base 14, what is 7869 - 17?
7852
In base 8, what is 31635 - 45?
31570
In base 5, what is -220 + 341?
121
In base 11, what is 1688 + -a?
1679
In base 13, what is -62a - -41?
-5b9
In base 11, what is 71a + -99?
631
In base 16, what is 3 - cc348?
-cc345
In base 15, what is 115bab + -2?
115ba9
In base 7, what is 12 - 605400?
-605355
In base 12, what is -22 + 1643?
1621
In base 13, what is -512 + -6b?
-580
In base 15, what is -6d6 - 55e?
-c45
In base 8, what is -555 + 11630?
11053
In base 8, what is -427 - -3727?
3300
In base 7, what is -5004301 - 2?
-5004303
In base 5, what is -13 - 32303?
-32321
In base 3, what is -21100011 - -11?
-21100000
In base 8, what is 10303 - -244?
10547
In base 14, what is -5 + -16a74?
-16a79
In base 8, what is -3020 - 1073?
-4113
In base 2, what is -1101001010111111 + 10?
-1101001010111101
In base 10, what is -4469 + -2?
-4471
In base 8, what is -1 + -220466?
-220467
In base 4, what is 2102330 - 0?
2102330
In base 4, what is 330022 + 2?
330030
In base 5, what is 1240 - -132104?
133344
In base 6, what is -103305 - 31?
-103340
In base 9, what is -16621 - 3?
-16624
In base 11, what is -789 - -403?
-386
In base 16, what is -40d + -3e?
-44b
In base 4, what is 11030 - 1332?
3032
In base 10, what is 339850 - -4?
339854
In base 2, what is 10101 - -11011111?
11110100
In base 10, what is -195716 + -4?
-195720
In base 9, what is 3407 + -35?
3362
In base 9, what is 0 + 3143?
3143
In base 15, what is -2 + 52d8?
52d6
In base 10, what is 6 - 83140?
-83134
In base 15, what is 155 - -b95?
cea
In base 3, what is 2100002 + -21011?
2001221
In base 14, what is 95 + -42?
53
In base 10, what is -15 - 821?
-836
In base 2, what is 1011010110 - 10111101110?
-1100011000
In base 4, what is 1100323 + 2?
1100331
In base 5, what is -14 - -43123?
43104
In base 3, what is 10202022 - -22?
10202121
In base 14, what is -4 + -402db?
-40301
In base 8, what is -6 - -22701?
22673
In base 12, what is -97 + 198b?
18b4
In base 4, what is -1 - -2103130?
2103123
In base 4, what is -1 + 2123321?
2123320
In base 3, what is -2202022102110 + -1?
-2202022102111
In base 3, what is -20 + -11201001?
-11201021
In base 5, what is 22 - 4402122?
-4402100
In base 15, what is 618d - -19?
61a7
In base 7, what is -2664540 - 1?
-2664541
In base 11, what is 50a76 + 0?
50a76
In base 10, what is 5901 - 2?
5899
In base 2, what is -1111111011 + -101?
-10000000000
In base 6, what is -22135442 - 5?
-22135451
In base 2, what is -111110100100 - 11?
-111110100111
In base 11, what is -1700 + -2?
-1702
In base 7, what is 3213522 + -10?
3213512
In base 16, what is -11 + -c69?
-c7a
In base 3, what is 2010000001 + -12?
2002222212
In base 7, what is 1320214 + -2?
1320212
In base 11, what is 35489 - -46?
35524
In base 8, what is 35637 + -4?
35633
In base 14, what is -5c - -434a?
42cc
In base 8, what is 25 - -12671?
12716
In base 11, what is 7a245 + -a?
7a236
In base 3, what is 110121110010 + 1?
110121110011
In base 5, what is 110404 - -110?
111014
In base 7, what is 2230306 - -2?
2230311
In base 9, what is -2 + -1268067?
-1268070
In base 8, what is -341 - -406?
45
In base 4, what is -1230231332 - -2?
-1230231330
In base 7, what is -221 - 320?
-541
In base 8, what is 0 - 223063?
-223063
In base 13, what is 82748 + -4?
82744
In base 6, what is 440 - -253?
1133
In base 2, what is 11001001001100001 - 100?
11001001001011101
In base 12, what is -127 - -139?
12
In base 5, what is 3 + -2004014?
-2004011
In base 13, what is 2881 + -16?
2868
In base 9, what is 13 + 3764?
3777
In base 16, what is 27 - 2bf52?
-2bf2b
In base 12, what is -5 - b1b65?
-b1b6a
In base 7, what is 6 + -23532?
-23523
In base 4, what is 1010322302 + -3?
1010322233
In base 11, what is -8324 + 102?
-8222
In base 16, what is -6d0 + -2d?
-6fd
In base 4, what is 11330221 - 231?
11323330
In base 13, what is 13 - 459?
-446
In base 13, what is -1 + -800a8?
-800a9
In base 6, what is -54 - -1050?
552
In base 6, what is -3103 - -41124?
34021
In base 12, what is -1 - -13510?
1350b
In base 16, what is -2 + -30d12?
-30d14
In base 16, what is -8 + 56b?
563
In base 13, what is 0 + - | {
"pile_set_name": "DM Mathematics"
} |
by 2680735.
9
What is the remainder when 79931 is divided by 5279?
746
Calculate the remainder when 211896 is divided by 4707.
81
What is the remainder when 1545450 is divided by 772725?
0
Calculate the remainder when 1652204 is divided by 3560.
364
What is the remainder when 3020037 is divided by 53?
44
What is the remainder when 129587739 is divided by 5750?
5739
Calculate the remainder when 403312 is divided by 1904.
1568
Calculate the remainder when 30461 is divided by 150.
11
What is the remainder when 2765239 is divided by 12456?
7
Calculate the remainder when 274917884 is divided by 48.
44
Calculate the remainder when 4768490 is divided by 825.
815
What is the remainder when 78875357 is divided by 160?
157
What is the remainder when 10184678 is divided by 116?
110
What is the remainder when 616662 is divided by 1465?
1362
What is the remainder when 68552 is divided by 592?
472
Calculate the remainder when 3467715 is divided by 99077.
20
What is the remainder when 181784 is divided by 18145?
334
What is the remainder when 1108303 is divided by 1108221?
82
What is the remainder when 3045071 is divided by 825?
821
Calculate the remainder when 122051 is divided by 7178.
25
Calculate the remainder when 36878144 is divided by 9692.
84
Calculate the remainder when 167189133 is divided by 17.
15
Calculate the remainder when 25054715 is divided by 7179.
5
Calculate the remainder when 284668 is divided by 40077.
4129
Calculate the remainder when 44868106 is divided by 1996.
22
Calculate the remainder when 59273 is divided by 1969.
203
Calculate the remainder when 926202 is divided by 2058.
102
What is the remainder when 932523 is divided by 378?
375
What is the remainder when 113208040 is divided by 4043?
4040
What is the remainder when 252544 is divided by 63059?
308
What is the remainder when 11188 is divided by 1291?
860
What is the remainder when 8451247 is divided by 2816984?
295
What is the remainder when 1194599 is divided by 319?
263
What is the remainder when 48557108 is divided by 2644?
48
What is the remainder when 616658 is divided by 6491?
13
Calculate the remainder when 3009399 is divided by 142.
135
What is the remainder when 105202 is divided by 781?
548
Calculate the remainder when 1112730 is divided by 2576.
2474
What is the remainder when 12946 is divided by 4301?
43
Calculate the remainder when 231298 is divided by 2996.
606
Calculate the remainder when 4312116 is divided by 154004.
4
What is the remainder when 9236963 is divided by 348?
347
What is the remainder when 376754490 is divided by 1824?
1818
What is the remainder when 151619 is divided by 36953?
3807
What is the remainder when 2575836 is divided by 1287906?
24
What is the remainder when 49389772 is divided by 2334?
2332
What is the remainder when 583965 is divided by 462?
459
What is the remainder when 3212427 is divided by 1603?
15
Calculate the remainder when 95478 is divided by 23778.
366
What is the remainder when 111953589 is divided by 39?
33
What is the remainder when 289602 is divided by 3254?
3250
Calculate the remainder when 279248 is divided by 470.
68
What is the remainder when 285557 is divided by 4894?
1705
Calculate the remainder when 982980 is divided by 506.
328
Calculate the remainder when 842785 is divided by 724.
49
What is the remainder when 1445970 is divided by 73?
59
Calculate the remainder when 1779309 is divided by 249.
204
Calculate the remainder when 15774 is divided by 7878.
18
What is the remainder when 166244628 is divided by 313?
312
What is the remainder when 11338317 is divided by 336?
333
What is the remainder when 7703371 is divided by 695?
686
Calculate the remainder when 10564457 is divided by 367.
362
Calculate the remainder when 237986 is divided by 47546.
256
What is the remainder when 228988 is divided by 253?
23
Calculate the remainder when 78441 is divided by 39152.
137
Calculate the remainder when 140929 is divided by 806.
685
What is the remainder when 104407081 is divided by 629?
0
Calculate the remainder when 16991 is divided by 16118.
873
What is the remainder when 713944 is divided by 144?
136
What is the remainder when 104327600 is divided by 117?
104
Calculate the remainder when 27172 is divided by 3846.
250
What is the remainder when 29455 is divided by 4307?
3613
Calculate the remainder when 12701545 is divided by 303.
88
What is the remainder when 13916 is divided by 2283?
218
Calculate the remainder when 28926 is divided by 3318.
2382
Calculate the remainder when 124436918 is divided by 124436918.
0
What is the remainder when 47518037 is divided by 392711?
6
Calculate the remainder when 7071829 is divided by 48.
37
What is the remainder when 249799 is divided by 27752?
31
What is the remainder when 302496 is divided by 13733?
370
What is the remainder when 20784393 is divided by 57574?
179
What is the remainder when 42534996 is divided by 178?
116
What is the remainder when 8853780 is divided by 387?
381
Calculate the remainder when 2144788 is divided by 714887.
127
What is the remainder when 75429 is divided by 4241?
3332
Calculate the remainder when 3354396 is divided by 559058.
48
Calculate the remainder when 7704266 is divided by 695.
191
What is the remainder when 1807457 is divided by 48?
17
Calculate the remainder when 41899146 is divided by 3939.
3
What is the remainder when 16939927 is divided by 33478?
59
Calculate the remainder when 5683 is divided by 1651.
730
What is the remainder when 964638 is divided by 555?
48
What is the remainder when 7708938 is divided by 137657?
146
Calculate the remainder when 1393595 is divided by 199062.
161
Calculate the remainder when 1483427 is divided by 87.
77
What is the remainder when 6591389 is divided by 14329?
49
Calculate the remainder when 103369 is divided by 34418.
115
What is the remainder when 424412817 is divided by 4794?
4791
What is the remainder when 347603 is divided by 2896?
83
Calculate the remainder when 4769764 is divided by 596219.
12
What is the remainder when 22412 is divided by 7082?
1166
Calculate the remainder when 848235 is divided by 16.
11
Calculate the remainder when 12127567 is divided by 2203.
52
What is the remainder when 5516338 is divided by 1550?
1438
What is the remainder when 13186379 is divided by 125?
4
What is the remainder when 5814244 is divided by 1162846?
14
Calculate the remainder when 507269 is divided by 2096.
37
What is the remainder when 10073233 is divided by 598?
521
What is the remainder when 4074178 is divided by 1259?
54
What is the remainder when 2058857 is divided by 2353?
2335
What is the remainder when 593960 is divided by 906?
530
What is the remainder when 4106977 is divided by 10319?
15
What is the remainder when 18633420 is divided by 451?
355
What is the remainder when 3001464 is divided by 130498?
10
Calculate the remainder when 404078 is divided by 67294.
314
What is the remainder when 23031840 is divided by 3867?
3855
Calculate the remainder when 21064719 is divided by 7021570.
9
Calculate the remainder when 2602083 is divided by 2166.
717
Calculate the remainder when 5429288 is divided by 1853.
1851
Calculate the remainder when 1998821 is divided by 666261.
38
What is the remainder when 24877901 is divided by 176439?
2
Calculate the remainder when 1057852 is divided by 6651.
343
What is the remainder when 209792 is divided by 52304?
576
What is the remainder when 2942631 is divided by 2137?
2119
What is the remainder when 16715 is divided by 8346?
23
What is the remainder when 1262917 is divided by 15401?
35
Calculate the remainder when 19594323 is divided by 878.
875
What is the remainder when 1336629 is divided by 6146?
2947
What is the remainder when 31184 is divided by 364?
244
Calculate the remainder when 2762672 is divided by 37843.
133
What is the remainder when 104903 is divided by 51679?
1545
What is the remainder when 3152313 is divided by 49?
45
What is the remainder when 123699 is divided by 287?
2
What is the remainder when 161967 is divided by 4624?
127
What is the remainder when 116777733 is divided by 9305?
9288
What is the remainder when 2414490 is divided by 111?
18
Calculate the remainder when 139491 is divided by 1758.
609
What is the remainder when 389176 is divided by 467 | {
"pile_set_name": "DM Mathematics"
} |
AM and 12:48 PM?
526
How many minutes are there between 9:17 AM and 10:06 AM?
49
What is 700 minutes after 9:54 PM?
9:34 AM
How many minutes are there between 2:51 AM and 5:08 AM?
137
How many minutes are there between 8:17 PM and 11:28 PM?
191
What is 111 minutes before 6:55 AM?
5:04 AM
How many minutes are there between 7:12 PM and 3:33 AM?
501
What is 652 minutes after 7:58 AM?
6:50 PM
How many minutes are there between 4:28 AM and 11:47 AM?
439
How many minutes are there between 10:45 PM and 10:01 AM?
676
How many minutes are there between 10:17 PM and 1:22 AM?
185
What is 237 minutes after 8:09 AM?
12:06 PM
What is 185 minutes before 6:48 PM?
3:43 PM
How many minutes are there between 1:11 AM and 12:23 PM?
672
What is 217 minutes before 11:28 PM?
7:51 PM
How many minutes are there between 11:44 AM and 10:28 PM?
644
What is 51 minutes before 1:42 PM?
12:51 PM
What is 137 minutes after 11:28 AM?
1:45 PM
What is 126 minutes before 4:56 AM?
2:50 AM
How many minutes are there between 8:42 AM and 12:37 PM?
235
How many minutes are there between 10:28 PM and 6:20 AM?
472
How many minutes are there between 8:55 PM and 12:24 AM?
209
How many minutes are there between 9:24 PM and 5:07 AM?
463
How many minutes are there between 12:45 PM and 6:02 PM?
317
How many minutes are there between 7:46 PM and 7:14 AM?
688
How many minutes are there between 12:20 AM and 9:27 AM?
547
What is 439 minutes before 5:30 AM?
10:11 PM
What is 543 minutes after 11:53 AM?
8:56 PM
What is 432 minutes after 12:59 PM?
8:11 PM
How many minutes are there between 7:15 PM and 2:54 AM?
459
What is 557 minutes after 12:56 AM?
10:13 AM
How many minutes are there between 8:23 PM and 11:19 PM?
176
What is 385 minutes after 3:21 AM?
9:46 AM
What is 111 minutes after 5:39 PM?
7:30 PM
What is 517 minutes before 7:39 PM?
11:02 AM
What is 663 minutes before 3:56 PM?
4:53 AM
What is 582 minutes before 6:21 AM?
8:39 PM
What is 69 minutes before 4:21 AM?
3:12 AM
What is 56 minutes after 3:32 PM?
4:28 PM
How many minutes are there between 1:38 PM and 10:50 PM?
552
How many minutes are there between 5:37 PM and 5:43 PM?
6
What is 609 minutes after 6:49 PM?
4:58 AM
How many minutes are there between 11:10 AM and 12:13 PM?
63
How many minutes are there between 5:48 PM and 7:18 PM?
90
How many minutes are there between 8:51 AM and 5:03 PM?
492
How many minutes are there between 3:56 AM and 10:22 AM?
386
What is 457 minutes before 8:42 AM?
1:05 AM
What is 424 minutes after 11:34 PM?
6:38 AM
What is 491 minutes before 1:54 AM?
5:43 PM
What is 166 minutes after 7:44 AM?
10:30 AM
How many minutes are there between 3:39 AM and 1:07 PM?
568
How many minutes are there between 10:00 AM and 7:30 PM?
570
What is 101 minutes after 6:26 AM?
8:07 AM
What is 692 minutes after 2:53 AM?
2:25 PM
What is 171 minutes after 4:49 PM?
7:40 PM
What is 53 minutes after 3:39 PM?
4:32 PM
How many minutes are there between 2:05 PM and 1:23 AM?
678
How many minutes are there between 12:45 AM and 7:46 AM?
421
What is 607 minutes before 2:07 PM?
4:00 AM
What is 628 minutes before 4:23 PM?
5:55 AM
What is 49 minutes after 12:10 AM?
12:59 AM
What is 251 minutes after 10:09 AM?
2:20 PM
What is 576 minutes before 4:46 PM?
7:10 AM
How many minutes are there between 7:47 AM and 6:23 PM?
636
What is 321 minutes after 4:23 PM?
9:44 PM
How many minutes are there between 1:36 PM and 2:26 PM?
50
What is 391 minutes before 4:26 AM?
9:55 PM
What is 402 minutes after 5:26 PM?
12:08 AM
What is 702 minutes before 1:15 PM?
1:33 AM
What is 36 minutes before 2:15 AM?
1:39 AM
What is 355 minutes before 4:37 PM?
10:42 AM
What is 170 minutes after 5:38 PM?
8:28 PM
What is 429 minutes before 12:26 AM?
5:17 PM
How many minutes are there between 4:53 PM and 12:31 AM?
458
How many minutes are there between 6:35 AM and 4:30 PM?
595
What is 91 minutes before 3:15 PM?
1:44 PM
What is 480 minutes after 7:34 AM?
3:34 PM
What is 493 minutes before 3:22 PM?
7:09 AM
How many minutes are there between 7:20 AM and 7:39 AM?
19
How many minutes are there between 6:07 AM and 12:55 PM?
408
How many minutes are there between 11:13 PM and 8:11 AM?
538
How many minutes are there between 8:43 PM and 2:20 AM?
337
What is 376 minutes before 10:30 AM?
4:14 AM
How many minutes are there between 4:21 PM and 4:56 PM?
35
What is 203 minutes before 10:04 PM?
6:41 PM
What is 491 minutes after 7:26 AM?
3:37 PM
What is 520 minutes before 10:38 AM?
1:58 AM
What is 39 minutes before 6:58 AM?
6:19 AM
How many minutes are there between 6:29 AM and 1:53 PM?
444
How many minutes are there between 4:08 AM and 11:55 AM?
467
How many minutes are there between 7:30 PM and 10:10 PM?
160
What is 332 minutes before 4:24 PM?
10:52 AM
What is 705 minutes before 9:55 AM?
10:10 PM
How many minutes are there between 3:46 PM and 8:48 PM?
302
What is 462 minutes before 7:07 AM?
11:25 PM
How many minutes are there between 1:44 PM and 12:59 AM?
675
What is 676 minutes before 5:53 PM?
6:37 AM
What is 20 minutes after 8:35 AM?
8:55 AM
What is 191 minutes after 8:12 PM?
11:23 PM
How many minutes are there between 8:55 AM and 5:40 PM?
525
What is 11 minutes before 3:42 PM?
3:31 PM
What is 165 minutes after 7:28 PM?
10:13 PM
What is 181 minutes before 8:19 AM?
5:18 AM
How many minutes are there between 2:01 AM and 9:40 AM?
459
What is 355 minutes before 8:22 PM?
2:27 PM
How many minutes are there between 11:47 PM and 9:36 AM?
589
How many minutes are there between 1:06 AM and 4:11 AM?
185
What is 472 minutes after 3:30 AM?
11:22 AM
How many minutes are there between 3:15 PM and 12:27 AM?
552
How many minutes are there between 12:57 AM and 8:22 AM?
445
How many minutes are there between 7:23 PM and 7:12 AM?
709
What is 71 minutes before 3:45 AM?
2:34 AM
How many minutes are there between 8:31 AM and 11:26 AM?
175
What is 90 minutes before 1:15 PM?
11:45 AM
How many minutes are there between 5:41 PM and 3:19 AM?
578
What is 708 minutes after 8:10 PM?
7:58 AM
How many minutes are there between 3:39 AM and 4:14 AM?
35
What is 181 minutes before 8:55 AM?
5:54 AM
How many minutes are there between 9:48 PM and 12:53 AM?
185
How many minutes are there between 4:50 AM and 2:20 PM?
570
What is 4 minutes after 10:13 PM?
10:17 PM
How many minutes are there between 11:27 PM and 4:29 AM?
302
What is 194 minutes after 1:43 AM?
4:57 AM
How many minutes are there between 11:22 AM and 5:56 PM?
394
What is 402 minutes after 9:43 AM?
4:25 PM
What is 235 minutes before 6:37 PM?
2:42 PM
What is 428 minutes after 1:39 AM?
8:47 AM
How many minutes are there between 1:48 PM and 5:44 PM?
236
What is 680 minutes after 10:24 PM?
9:44 AM
What is 662 minutes before 7:32 AM?
8:30 PM
How many minutes are there between 1:00 AM and 7:42 AM?
402
How many minutes are there between 6:28 PM and 4:52 AM?
624
What is 646 minutes before 3:03 AM?
4:17 PM
What is 616 minutes after 1:34 PM?
11:50 PM
What is 719 minutes after 3:19 PM?
3:18 AM
How many minutes are there between 10:49 PM and 7:10 AM?
501
How many minutes are there between 7:19 PM and 9:01 PM?
102
What is 670 minutes after 5:00 PM?
4:10 AM
What is 538 minutes after 10:23 AM?
7:21 PM
What is 398 minutes before 1:12 AM?
6:34 PM
What is 559 minutes before 9:32 AM?
12:13 AM
How many minutes are there between 11:22 PM and 10:55 AM?
693
What is 62 minutes after 7:02 AM?
8:04 AM
What is 203 minutes after 1:26 PM?
4:49 PM
How many minutes are there between 12:17 PM and 3:13 PM?
176
How many minutes are there between 12:04 PM and 5:35 PM?
331
How many minutes are there between 8:28 PM and 3:52 AM?
444
How many minutes are there between 4:59 AM and 4:08 PM?
669
How many minutes are there between 8:43 AM and 3:24 PM?
401
How many minutes are there between 10:02 PM and 7:50 AM?
588
How many minutes are there between 6:32 AM and 1:26 PM?
414
How many minutes are there between 9:23 PM and 1:06 AM?
223
How many minutes are there between 4:24 PM and 6:45 PM?
141
What is 54 minutes after 1:25 AM?
2:19 AM
How many minutes are there between 7:07 AM and 8:09 AM?
62
What is 2 minutes after 7:59 PM?
8:01 PM
How many minutes are there between 4:43 AM and 12:59 PM?
496
How many minutes are there between 12:54 AM and 11:01 AM?
607
How many minutes are there between 2:08 AM and 2:49 AM?
41
What is 630 min | {
"pile_set_name": "DM Mathematics"
} |
second biggest value? (a) 2 (b) 129 (c) -4 (d) 4
d
Which is the biggest value? (a) -0.05 (b) -9 (c) 5
c
Which is the third smallest value? (a) -0.38 (b) -0.29 (c) 2/3
c
What is the smallest value in -3/5, 0.1, -224?
-224
Which is the third biggest value? (a) 0.2 (b) 0.1 (c) 15 (d) 0.05
b
What is the smallest value in -72, 4/9, -0.4?
-72
Which is the third smallest value? (a) -1/3 (b) -320 (c) 2/5 (d) -3
a
Which is the fourth smallest value? (a) -0.4 (b) 0.1 (c) 48 (d) -2
c
What is the second biggest value in 11, -0.2, -12.9, 2/7, 0.3?
0.3
What is the fourth smallest value in -227, 4, -5, 3?
4
Which is the fourth smallest value? (a) 0.1 (b) 2/13 (c) 2/161 (d) -0.3 (e) 0
a
Which is the second biggest value? (a) 0 (b) 1/104 (c) -1/11 (d) 1/3
b
Which is the fourth biggest value? (a) 8 (b) 4 (c) -0.5 (d) -10
d
Which is the smallest value? (a) 0 (b) 2/3 (c) 1 (d) 5.7
a
Which is the smallest value? (a) -0.027 (b) 11/3 (c) 0.5 (d) 0.2
a
Which is the biggest value? (a) -0.5 (b) 2/5 (c) 2.2
c
Which is the second biggest value? (a) -5 (b) -1 (c) 2/39 (d) 2
c
What is the second biggest value in 4, 0, 1, -5?
1
What is the biggest value in -3, -0.2, 77?
77
What is the fifth smallest value in -3/5, 0.4, -4, -7/776, -3?
0.4
Which is the biggest value? (a) -1 (b) 0.45 (c) 2.3
c
Which is the second biggest value? (a) -0.15 (b) 0.4 (c) 0
c
Which is the second smallest value? (a) 1/4 (b) 13/4 (c) 1 (d) -5 (e) -1
e
What is the fourth smallest value in -5, 0.5, 0.4, -0.044?
0.5
Which is the fifth biggest value? (a) 0.2 (b) 16.5 (c) 0.4 (d) -5 (e) 1
d
What is the third smallest value in 0.08, 0.038, 2/7, -4?
0.08
What is the third biggest value in 1/7, 2/51, -3/2, -91?
-3/2
What is the third smallest value in 0.39, -2, 2, 0.2?
0.39
What is the third smallest value in 3, 0.179, 4?
4
What is the second biggest value in 0.5, -0.01, 7.76?
0.5
Which is the fifth biggest value? (a) 2 (b) -1 (c) -2/3 (d) 1/3 (e) 5
b
Which is the second biggest value? (a) -42/11 (b) 2 (c) -4 (d) 6
b
Which is the smallest value? (a) 1/2 (b) 3/8 (c) -12
c
What is the fifth biggest value in 0.1, 0.5, 1/11, 2/3, -1/5?
-1/5
What is the second smallest value in -2/5, -5, 0.31, -4?
-4
What is the smallest value in -11/2, -21/4, 3, 0.1?
-11/2
Which is the biggest value? (a) 5 (b) -3 (c) 0.8
a
Which is the second smallest value? (a) 1 (b) -4 (c) -1 (d) 2/5
c
What is the second biggest value in -0.4, 52, 0.3?
0.3
Which is the third biggest value? (a) -6 (b) -0.97 (c) 6
a
Which is the smallest value? (a) -0.01 (b) -165 (c) 0.2
b
Which is the fourth smallest value? (a) -0.5 (b) -0.03 (c) -0.2 (d) 2/835
d
Which is the second biggest value? (a) 0.8 (b) -1/16 (c) 0.4 (d) -5
c
Which is the second biggest value? (a) 3 (b) -4/3 (c) -2/7 (d) -2/13
d
Which is the second biggest value? (a) -0.4 (b) 8/7 (c) 1
c
What is the second smallest value in 0.1, 1, 2/7?
2/7
What is the second smallest value in -24, -9, 3?
-9
Which is the biggest value? (a) -4 (b) 208 (c) 20 (d) -5
b
Which is the third biggest value? (a) 5 (b) 3 (c) 17 (d) -3
b
Which is the second biggest value? (a) 0.163 (b) 0.9 (c) -3
a
Which is the fifth smallest value? (a) -2 (b) -1 (c) 0.09 (d) 0.08 (e) 4/5
e
What is the third biggest value in -2/3, 2/3, 5, 3.3, 3?
3
What is the fifth biggest value in 0.2, 14, 4/3, -59, 4?
-59
Which is the second smallest value? (a) 469 (b) -2/9 (c) -0.2 (d) -4 (e) 2
b
What is the third smallest value in -3, 1/2, 2.05, 1?
1
What is the biggest value in 0, -3/5, 2, -0.8?
2
Which is the biggest value? (a) -4 (b) 2/7 (c) -0.07
b
Which is the second biggest value? (a) 4 (b) 23 (c) 89
b
Which is the biggest value? (a) -6 (b) 6 (c) -10
b
Which is the second biggest value? (a) 4 (b) 13/7 (c) -0.1
b
What is the third biggest value in 4, 2/15, 10?
2/15
Which is the biggest value? (a) -1/2 (b) 0.5 (c) 2/5 (d) -3/16 (e) -4
b
What is the biggest value in 194, -5, -1/5, -1/9?
194
Which is the smallest value? (a) 2/5 (b) -2/17 (c) -0.3 (d) -1/3
d
What is the third smallest value in -3/2, 0.5, 2?
2
Which is the smallest value? (a) 55 (b) -3 (c) 0.5 (d) 0.6
b
What is the fourth smallest value in -8, -0.4, -3, -1/101?
-1/101
Which is the second biggest value? (a) -0.5 (b) 0 (c) 57
b
What is the second smallest value in 0.27, -0.17, 1?
0.27
What is the biggest value in 4/5, 1, 3, -0.16?
3
What is the fourth smallest value in -0.9, -1/3, 6, 0.5?
6
What is the second biggest value in 8, 0.2, -2, -22?
0.2
Which is the second biggest value? (a) 0.5 (b) 2/33 (c) 2
a
Which is the biggest value? (a) 2/3 (b) 12 (c) -0.8
b
What is the biggest value in 0.02, -2/11, 4/11?
4/11
What is the second smallest value in 4, 0.03, 2/3, -12, -0.9?
-0.9
Which is the fourth smallest value? (a) -1/3 (b) 0.2 (c) -3/7 (d) -2
b
What is the second smallest value in 0, -1.2, 5, 2?
0
Which is the second smallest value? (a) 186 (b) 5 (c) -5
b
Which is the smallest value? (a) 32 (b) -1 (c) -2/11 (d) 4
b
Which is the third biggest value? (a) -0.1 (b) -5 (c) 7.8
b
Which is the fourth smallest value? (a) 6/5 (b) -134 (c) 0.2 (d) -0.2
a
What is the second biggest value in 10/3, -0.3, -0.4, 3?
3
What is the fifth smallest value in 0.9, -3, -0.05, -6/5, -2?
0.9
What is the biggest value in -0.3, 12, 18, -0.5?
18
Which is the biggest value? (a) 0.11 (b) -1/2 (c) -5 (d) 1/3
d
What is the second biggest value in 10/23, 0.4, 0?
0.4
What is the second smallest value in 2/9, 6/11, -2/5, 1/12, -1/3?
-1/3
Which is the third smallest value? (a) -1 (b) -5 (c) -3
a
What is the biggest value in -4, 2, -301?
2
What is the smallest value in -1, 0.08, -1/7, -1/8?
-1
Which is the second biggest value? (a) 1/51 (b) 1/3 (c) -5
a
Which is the fourth smallest value? (a) 0.5 (b) -0.5 (c) -1/6 (d) 0.09 (e) 12
a
What is the third biggest value in 7, 1/2, -40?
-40
Which is the smallest value? (a) 2/197 (b) -2/11 (c) -0.3
c
What is the second smallest value in -2/5, 0.1, -8/195, 0.4?
-8/195
Which is the biggest value? (a) -4 (b) 0 (c) -11 (d) 0.5 (e) 0.16
d
Which is the third biggest value? (a) 4 (b) 106 (c) -2 (d) -0.4
d
What is the fifth smallest value in 0.4, -9/11, 0.2, 2, -0.3?
2
Which is the third smallest value? (a) -3 (b) -2/23 (c) -0.3 (d) -9/7
c
Which is the fourth smallest value? (a) -2 (b) 11 (c) 1 (d) 0.2 (e) 2
e
What is the third biggest value in -5, -1, 0.232?
-5
Which is the smallest value? (a) -28/13 (b) 2/9 (c) -1/2 (d) -1
a
What is the third smallest value in -1.6, -1, 48?
48
What is the smallest value in -0.3, -10/9, 0.5?
-10/9
Which is the smallest value? (a) -0.7 (b) -1/4 (c) 3 (d) 14
a
What is the fourth biggest value in -1/4, 7, 2/3, -4, -1?
-1
What is the second smallest value in 0.2, -0.05, 24/17?
0.2
What is the biggest value in 0, -1, -0.49, 1?
1
What is the smallest value in 1/7, -5, 0.4, -365?
-365
What is the fourth biggest value in -2, -3, -2/31, 4?
-3
What is the second smallest value in -6/17, -0.4, -2, 0.1?
-0.4
Which is the second biggest value? (a) -4 (b) 4/3 (c) 0 (d) 5
b
Which is the third smallest value? (a) -2/11 (b) 4988 (c) 0.3
b
Which is the second smallest value? (a) -2 (b) -5 (c) 0.2 (d) -4
d
What is the fourth biggest value in 2, -11, -9, -0.3?
-11
What is the third biggest value in 0.05, -1/2, 0.1, 0.03?
0.03
Which is the second biggest value? (a) 4 (b) -3 (c) 7
a
Which is the second smallest value? (a) -4/3 (b) -834 (c) 4
a
Which is the third smallest value? (a) 0.5 (b) 0 (c) -0.4 (d) 566 (e) 2/3
a
Which is the second smallest value? (a) -0.4 (b) -420 (c) -1/11 (d) -0.5
d
Which is the smallest value? (a) -0.5 (b) -1/7 (c) -18
c
Which is the fourth smallest value? (a) 0.2 (b) -0.8 (c) -0.5 (d) -3
a
Which is the second biggest value? (a) -2 (b) 0.65 (c) 3 (d) -1
b
Which is the biggest value? (a) -0.4 (b) -1 (c) 5080
c
Which is the third biggest value? (a) -1 (b) 5 (c) 4 (d) 0.43
d
What is the second smallest value in -20, -13, -17?
-17
What is the third smallest value in -4.5, 3, 0, -3?
0
What is the third biggest value in 0.4, -0.5, -2785?
-2785
What is the second biggest value in 3, | {
"pile_set_name": "DM Mathematics"
} |
?
49073.544
How many kilograms are there in thirteen quarters of a tonne?
3250
How many milliseconds are there in 17/2 of a second?
8500
Convert 16324.79g to nanograms.
16324790000000
What is 0.2328349 centuries in months?
279.40188
Convert 130628.8 decades to years.
1306288
Convert 0.4896453t to milligrams.
489645300
What is 21/8 of a kilometer in meters?
2625
What is one tenth of a litre in millilitres?
100
What is 50723.16 millimeters in kilometers?
0.05072316
How many kilograms are there in 11/8 of a tonne?
1375
What is 2/125 of a litre in millilitres?
16
Convert 2.699352 kilograms to micrograms.
2699352000
What is nine sixteenths of a day in minutes?
810
How many meters are there in 33.44437 millimeters?
0.03344437
What is 1430.914um in kilometers?
0.000001430914
What is 1/5 of a millennium in centuries?
2
Convert 45.52469nm to micrometers.
0.04552469
What is 383778.7 milligrams in tonnes?
0.0003837787
What is 3/5 of a gram in milligrams?
600
How many milliseconds are there in 2/15 of a minute?
8000
How many millilitres are there in eleven eighths of a litre?
1375
What is fourty-five halves of a milligram in micrograms?
22500
What is one tenth of a milligram in micrograms?
100
How many grams are there in 79.68821ng?
0.00000007968821
How many kilograms are there in six fifths of a tonne?
1200
How many seconds are there in 6/25 of a day?
20736
Convert 107.1504 micrograms to milligrams.
0.1071504
How many millilitres are there in fourty-one halves of a litre?
20500
Convert 0.7902993 tonnes to grams.
790299.3
How many months are there in 52/5 of a decade?
1248
What is 5/4 of a millennium in months?
15000
Convert 89.1342 months to decades.
0.742785
Convert 877662.1ml to litres.
877.6621
What is 498.624 centuries in decades?
4986.24
How many years are there in fourty-seven quarters of a millennium?
11750
Convert 890557.7 millennia to centuries.
8905577
What is 13.9433 decades in years?
139.433
How many minutes are there in one tenth of a week?
1008
How many milligrams are there in one fifth of a gram?
200
How many meters are there in 11/8 of a kilometer?
1375
What is 18/5 of a milligram in micrograms?
3600
How many months are there in 9877.699 years?
118532.388
How many months are there in 12/25 of a millennium?
5760
What is three eighths of a millimeter in micrometers?
375
Convert 16.99841 days to seconds.
1468662.624
What is 6/25 of a kilogram in grams?
240
Convert 20.95894um to nanometers.
20958.94
What is 1161.743mm in kilometers?
0.001161743
How many minutes are there in 0.1188047 weeks?
1197.551376
How many litres are there in 23722.14 millilitres?
23.72214
What is 668897.7 litres in millilitres?
668897700
What is 13/4 of a week in hours?
546
How many months are there in seventeen sixths of a year?
34
How many months are there in 19/4 of a millennium?
57000
Convert 577.2775 grams to micrograms.
577277500
What is fourty-eight fifths of a kilogram in grams?
9600
How many decades are there in 779024.8 centuries?
7790248
What is 9.269566ng in milligrams?
0.000009269566
How many nanometers are there in thirty-one fifths of a micrometer?
6200
How many millilitres are there in 9.595097l?
9595.097
What is 610.2189l in millilitres?
610218.9
Convert 1645566.867 nanoseconds to weeks.
0.0000000027208446875
What is 667.4754 millimeters in nanometers?
667475400
How many minutes are there in 233.0766ms?
0.00388461
Convert 840986.4 millilitres to litres.
840.9864
Convert 71.66416nm to micrometers.
0.07166416
How many millilitres are there in thirteen eighths of a litre?
1625
What is 7/4 of a gram in milligrams?
1750
What is 2418.873nm in kilometers?
0.000000002418873
Convert 0.4528332 months to millennia.
0.0000377361
How many centuries are there in 3422.433 millennia?
34224.33
How many seconds are there in 746.9621 weeks?
451762678.08
What is eleven halves of a week in hours?
924
What is one sixth of a hour in seconds?
600
What is 223.8193 years in decades?
22.38193
What is three fifths of a kilogram in grams?
600
How many kilograms are there in 27/5 of a tonne?
5400
Convert 97393.57um to meters.
0.09739357
Convert 911.1643um to millimeters.
0.9111643
Convert 2453.136 grams to kilograms.
2.453136
How many milliseconds are there in 1/60 of a minute?
1000
What is 7/8 of a litre in millilitres?
875
How many grams are there in 6/5 of a kilogram?
1200
How many micrometers are there in 182.6783 millimeters?
182678.3
Convert 28819.08 months to millennia.
2.40159
What is 17/6 of a week in minutes?
28560
What is 3383.2035 nanoseconds in hours?
0.00000000093977875
How many milliseconds are there in 50.00347 minutes?
3000208.2
Convert 772.6338 micrometers to kilometers.
0.0000007726338
What is 5941.771 millennia in centuries?
59417.71
What is 46.52783 milligrams in grams?
0.04652783
What is three fifths of a kilometer in centimeters?
60000
What is sixty-five thirds of a day in minutes?
31200
How many nanograms are there in thirty-seven halves of a microgram?
18500
How many nanoseconds are there in thirty-seven fifths of a microsecond?
7400
Convert 5.46072mm to meters.
0.00546072
How many millimeters are there in 122947.6km?
122947600000
How many grams are there in 7/2 of a kilogram?
3500
How many years are there in 40.49681 decades?
404.9681
How many milliseconds are there in 4/75 of a minute?
3200
What is 578.7686mm in centimeters?
57.87686
Convert 619.0009 centimeters to micrometers.
6190009
What is 3/10 of a century in decades?
3
What is 3/10 of a milligram in micrograms?
300
Convert 3.743088ml to litres.
0.003743088
How many seconds are there in 5.778458ms?
0.005778458
What is 0.3724501 litres in millilitres?
372.4501
How many grams are there in 3/25 of a kilogram?
120
Convert 1234546.38ns to days.
0.00000001428873125
What is 5149.147 nanograms in tonnes?
0.000000000005149147
How many kilograms are there in 52226.27 milligrams?
0.05222627
What is 3/10 of a century in decades?
3
What is 724047.3 nanometers in micrometers?
724.0473
How many centuries are there in twenty-six fifths of a millennium?
52
How many millilitres are there in 48/5 of a litre?
9600
How many centimeters are there in 1/10 of a kilometer?
10000
Convert 64976.98 millennia to decades.
6497698
What is seven halves of a milligram in micrograms?
3500
What is 11/2 of a century in months?
6600
How many years are there in 21/2 of a decade?
105
How many millilitres are there in 779.998l?
779998
What is four thirds of a hour in seconds?
4800
What is 65644.42ug in kilograms?
0.00006564442
How many decades are there in 63.65743 centuries?
636.5743
What is 7/8 of a litre in millilitres?
875
How many years are there in 31/2 of a millennium?
15500
What is 0.1259057l in millilitres?
125.9057
What is seven halves of a micrometer in nanometers?
3500
How many seconds are there in 6036.415 days?
521546256
What is twenty-nine thirds of a century in months?
11600
What is 7/4 of a microgram in nanograms?
1750
Convert 1167.446 grams to milligrams.
1167446
How many nanometers are there in 11/2 of a micrometer?
5500
How many millimeters are there in 1.639418 kilometers?
1639418
How many micrometers are there in one quarter of a centimeter?
2500
What is 6033.133 micrometers in nanometers?
6033133
What is 18/5 of a meter in millimeters?
3600
How many kilograms are there in 5/8 of a tonne?
625
What is 11/2 of a litre in millilitres?
5500
What is 0.9339862um in meters?
0.0000009339862
How many millilitres are there in one quarter of a litre?
250
How many centuries are there in nine tenths of a millennium?
9
What is 0.901942 decades in years?
9.01942
How many nanometers are there in 3/8 of a micrometer?
375
How many millilitres are there in thirteen quarters of a litre?
3250
What is 502.0453 micrograms in nanograms?
502045.3
How many decades are there in 6.136303 years?
0.6136303
What is 17/6 of a week in hours?
476
How many millilitres are there in one tenth of a litre?
100
What is 17/2 of a microgram in nanograms?
8500
How many decades are there in eighteen fifths of a millennium?
360
What is seventeen quarters of a litre in millilitres?
4250
How many grams are there in 73831.28 nanograms?
0.00007383128
Convert 7.750835 centuries to years.
775.0835
How many millilitres are there in 8/25 of a litre?
320
How many mil | {
"pile_set_name": "DM Mathematics"
} |
+ 6410. Give -3*o(a) + 16*x(a).
-2*a**2 - 4*a
Let q(k) = -19 + k**2 + k - 33 + 0*k**2 + 69 - 16. Let u(c) = 3*c**2 + 7*c + 15. Give 5*q(w) - u(w).
2*w**2 - 2*w - 10
Let n(d) = d**2 - d - 1. Let c be 2/(-2 + (2 - 2)). Suppose -111 = -38*x + 41. Let f(g) = -x*g - 4 - 5*g + 23*g**2 - 18*g**2 + g. Give c*f(k) + 6*n(k).
k**2 + 2*k - 2
Let r(w) = -4*w**2 + 2*w - 1. Let q(g) be the third derivative of g**5/60 - g**4/24 + g**3/6 - g**2 + 116*g - 2. What is 6*q(p) + 2*r(p)?
-2*p**2 - 2*p + 4
Let x(b) = -2*b - 7. Let s(f) = -3*f - 1609. Determine s(h) - 2*x(h).
h - 1595
Let y(d) be the third derivative of d**6/40 - 2*d**5/15 - 11*d**4/24 + d**3/6 - d**2 + 628*d. Let w(s) = -s**3 + 3*s**2 + 4*s. What is -11*w(v) - 4*y(v)?
-v**3 - v**2 - 4
Let q(y) = -y - 12. Let z(f) = 2556 - f - 653 - 640 - 654 - 634. Calculate -5*q(n) + 3*z(n).
2*n - 15
Let t(h) = -3*h**3 + 6*h**2 - 4*h - 4. Let w(x) be the second derivative of x**5/5 - 7*x**4/12 + 5*x**3/6 + 2*x**2 + 15*x - 77. What is 5*t(j) + 4*w(j)?
j**3 + 2*j**2 - 4
Let i(j) = -j**2 - 248*j - 79. Let f(u) = u**2 + 124*u + 34. What is 7*f(o) + 3*i(o)?
4*o**2 + 124*o + 1
Let s(h) = 62*h + 6. Let k(g) = -19 + 7 + 2 + 62*g + 17. Determine 6*k(u) - 7*s(u).
-62*u
Let n(h) = -6*h**2 + 5*h + 4. Let f(p) = -5*p**2 + 6*p + 4. Let g be 30/(-6) + (-9 + 13)*15/6. Give g*f(x) - 6*n(x).
11*x**2 - 4
Let d(a) = 6*a**2 + a**3 + 3 - 9 - 3*a**3. Let h(r) be the second derivative of r**4/12 - r**2/2 - r. Let l = -15062 + 15063. Give l*d(f) - 6*h(f).
-2*f**3
Suppose 11*v = 40*v - 841. Let h = -34 + v. Let z(y) = -5*y. Let k(t) = 9*t. Calculate h*z(w) - 2*k(w).
7*w
Let p(x) = -3*x**3 + 4*x**2 + 4*x - 6. Let a(u) = 4*u - 4 - 2*u**3 - 6 + 4*u**2 - u - u**2 + 5. Let q = 4 - 29. Let o = q + 21. Give o*a(m) + 3*p(m).
-m**3 + 2
Let k(m) = m - 91. Let r(p) = 42*p - 3640. Let a(y) = -120*k(y) + 3*r(y). Let t(n) = 2*n - 2*n - n. Calculate 2*a(z) + 10*t(z).
2*z
Let r(z) = 2*z**2 + 6*z - 1. Let h(w) = -28*w**2 + 150*w + 12. What is -h(b) - 12*r(b)?
4*b**2 - 222*b
Let j(m) = 19*m - 108. Let x(t) = -18*t + 107. What is 3*j(g) + 4*x(g)?
-15*g + 104
Suppose -d + 28 = 6*d. Let w(k) = -6*k - 1. Let s(c) = -13*c - 2. Let a be 3/(-4*(-4)/(-48)). Determine a*w(t) + d*s(t).
2*t + 1
Let t(b) = 67*b + 9. Let i(l) = -7*l - 1. Determine 4*i(y) + t(y).
39*y + 5
Let l(h) = 10*h. Suppose 3*y + 6 = -4*s, 34 - 14 = 4*y - 4*s. Let k(f) = 4*f + 41 - y*f - 41 - f. Suppose 4*g + 4 = -0. What is g*l(a) + 8*k(a)?
-2*a
Let d(x) = 3*x**2 - 10*x - 8. Let t(c) = 9*c + 6. Give 2*d(a) + 3*t(a).
6*a**2 + 7*a + 2
Let k(y) = -5*y**3 - 52*y**2 - 2. Let m(c) = -26*c**3 - 260*c**2 + 2*c - 9. Give 11*k(h) - 2*m(h).
-3*h**3 - 52*h**2 - 4*h - 4
Let z(r) = r**2 - 22*r + 97. Let o be z(16). Let d(s) = 26*s + 5. Let n(y) = 1. Give o*d(j) - 5*n(j).
26*j
Let x(r) = 122*r + 43. Let j(q) = -3*q + 11. Calculate 4*j(f) - x(f).
-134*f + 1
Let q(l) = -23*l + 8. Let z(p) = 8*p - 3. Let v(f) = 42*f - 1355. Let r be v(32). Determine r*z(b) - 4*q(b).
4*b + 1
Let q(r) = -6*r**2 - 1203*r + 4. Let i(j) = -7*j**2 - 1195*j + 6. Calculate -2*i(n) + 3*q(n).
-4*n**2 - 1219*n
Let l(i) = -i**3 + i**2 + i. Let s = 4794 - 4793. Let a(v) = -4*v**3 + 24*v**2 + 6*v. What is s*a(w) - 6*l(w)?
2*w**3 + 18*w**2
Let u(b) = 13*b - 27. Let d(y) = 7*y - 14. Calculate -13*d(o) + 6*u(o).
-13*o + 20
Let y(u) = -2*u - 324. Let j(m) = 2*m + 324. What is 4*j(n) + 5*y(n)?
-2*n - 324
Let r(p) = -5*p**2 + 885*p - 2. Let y(b) = -2*b**2 + b - 1. What is r(d) - 2*y(d)?
-d**2 + 883*d
Let h(g) = -3*g - 4. Let f(n) = 53*n + 71. Let i(j) = -f(j) - 18*h(j). Let q(l) = -6*l - 20. What is 5*i(y) + q(y)?
-y - 15
Let g(i) = 42*i**2 - 7*i + 124. Let d(b) = -23*b**2 + 4*b - 63. Determine -7*d(c) - 4*g(c).
-7*c**2 - 55
Let m(k) = 104*k**2 - 14*k. Let u(y) = 21*y**2 - 3*y. Let w(n) = -367*n + 14. Let f be w(0). Determine f*u(t) - 3*m(t).
-18*t**2
Let l(o) = -720*o**3 - 2*o + 13. Let u(p) = -359*p**3 - p + 7. Give -6*l(w) + 11*u(w).
371*w**3 + w - 1
Let d(c) = -67*c - 2*c**3 + 9 + 146*c - 74*c - c**3 + 2*c**2. Let f = 30 - 28. Let j(r) = -4*r**3 + 7*r + 3*r**f + 1 - 6 + 0 + 18. Calculate 7*d(u) - 5*j(u).
-u**3 - u**2 - 2
Let u(x) = -x**2 - 3. Let s(o) = 9*o**2 + 294*o + 16. What is -s(h) - 5*u(h)?
-4*h**2 - 294*h - 1
Let g(i) = -10*i**2 - 785. Let f(t) = 6. What is -3*f(k) + g(k)?
-10*k**2 - 803
Let n(k) = 375*k**2 + 45*k + 45. Let b(p) = 17*p**2 + 2*p + 2. Let g = -4179 + 4134. Calculate g*b(j) + 2*n(j).
-15*j**2
Let r(l) = -l + 1. Let t(a) = a**3 - 17*a**2 - 17*a - 23. Let z be t(18). Let o be 29/z - (-5 + 105/25). Let i(x) = -9*x + 5. Calculate o*r(m) + i(m).
-4*m
Let y(j) = -30*j + 5. Suppose 431*o = 659*o + 1140. Let x(s) = -45*s + 8. Give o*x(t) + 8*y(t).
-15*t
Let y = -4687 + 4691. Let t(w) = 351*w. Let q(m) = 11*m. Calculate y*t(o) - 130*q(o).
-26*o
Let m(f) = -395*f - 14. Let r(u) = -402*u - 18. Determine -4*m(t) + 3*r(t).
374*t + 2
Let i(n) be the third derivative of -6*n**2 - 1/6*n**4 - 1/3*n**3 + 0*n + 0. Let v(j) = j. Let o(f) = -f. Let h(r) = 4*o(r) + 5*v(r). Give h(l) + i(l).
-3*l - 2
Let r be 20 + 24/156 + 4/(-26). Suppose y - 2*m = -2, 3*y + r = 8*y - 4*m. Let x(t) = -10*t - 14. Let k(s) = 7*s + 9. What is y*k(i) + 5*x(i)?
6*i + 2
Suppose -145*j + 460 = -665*j - 580. Let b(v) = -69*v**3 - 11*v**2 + 11*v - 11. Let w(h) = 14*h**3 + 2*h**2 - 2*h + 2. Give j*b(q) - 11*w(q).
-16*q**3
Let p(i) = i**2 - 1. Let d be ((-44)/(-12) - 3)*4518/(-12). Let s = 249 + d. Let r(m) = m**3 + 2*m**2 + 2*m - 2. Give s*p(v) + r(v).
v**3 + 2*v
Let f(o) = -395*o - 3. Let s(r) = 376*r + 4. What is 6*f(q) + 5*s(q)?
-490*q + 2
Let v(c) = c. Let a be -1 - 0*(-7)/119. Let j(p) = -32*p**2 - 16*p. Calculate a*j(z) - 16*v(z).
32*z**2
Let l(o) = -7*o**2 - 4*o + 4. Let w(m) be the second derivative of 1/2*m**3 - 3/2*m**2 + 1/2*m**4 - 14*m - 4. Calculate 3*l(k) + 4*w(k).
3*k**2
Let i(l) = 2 + 0 + 6*l + 2. Let w(k) be the third derivative of k**4/4 + 5*k**3/6 + k**2 + 19222*k. Calculate -5*i(o) + 4*w(o).
-6*o
Let z(k) = -k**2 + 1. Let o(b) = -3*b**2 + 55*b + 37. Let a be o(19). Let g(x) = -3*x**3 + 2*x**2 - 4. Give a*g(d) - 4*z(d).
3*d**3 + 2*d**2
Let w(g) be the second derivative of -g**2/2 - 1267*g. Let p(o) = 3*o**2 + 10*o - 6. Determine p(f) - 6*w(f).
3*f**2 + 10*f
Let r(t) = -181. Let g(o) = o - 143. What is 4*g(j) - 3*r(j)?
4*j - 29
Let s(r) = -96*r + 221. Let q(d) = 81*d - 221. Determine 6*q(w) + 5*s(w).
6*w - 221
Let x(h) = -6*h**3 - 5*h - 5. Suppose -3*u + 60 = 2*u. Let m(j) = 879*j**2 - 15*j**3 - u - 12*j - 879*j**2. Suppose 19 - 7 = i. Give i*x(q) - 5*m(q).
3*q**3
Let t(h) = h**2 - 4*h + 1. Let d(z) = 12*z**2 - 14*z + 9. Determine d(f) - 3*t(f).
9*f**2 - 2*f + 6
Let g(r) = -r**2 + 4*r. Let p(f) = -72*f**2 + 5*f. What is 2*g(q) + p(q)?
-74*q**2 + 13*q
Let u(m) be the third derivative of -11*m**4/24 + m**3 - 1204*m**2. Let w(f) = 32*f - 17. Calculate -11*u(l) - 4*w(l).
-7*l + 2
Let g(l) = 7*l**2 - 2*l - 7. Let q(o) = -120*o**2 + 35*o + 120. Let p be 1992/60 + 45/25. Give p*g(r) + 2*q(r).
5*r**2 - 5
Let d be 4 - (7 - 2 - -6 - 48/6). Let c(j) = -j. Let b(u) be the third derivative of u**4/24 + u**3/6 - u**2. What is d*c(x) + 3*b(x)?
2*x + 3
Let u(r) = -578. Let v(f) = f + 1151. Give 5*u(y) + 3*v(y).
3*y + 563
Let w(z) be the third derivative of z**6/120 + z**5/12 + z**4/8 - 5*z**3/6 - 2*z**2 + 388*z. Let b(r) = -r**3 - 2*r**2 - 2*r + 2. Give -5*b(d) - 2*w(d).
3*d**3 + 4*d
Let s(n) = -2*n**2 + 33*n + 2. Let y(r) = -3*r**2 + 55*r + 3. Let w(h) = -5*s(h) + 3*y(h). Let d(i) = -2*i**3 - 4*i**2 - 25*i + 6. What is -d(k) - 6*w(k)?
2*k**3 - 2*k**2 + 25*k
Let m(j) = -11*j**3 + 5*j**2 - 5*j - 5. Let u(b) = -12*b**3 + 4*b**2 - 4*b - 4. Let q be (-70)/(-4)*420/1470. What is q*u(z) - 4*m(z)?
-16*z**3
Suppose -3*g + 0*g = 126. Let a(l) = 32*l - 8*l - 5 - 11*l - 16*l + 17*l. Let b(t) = 119*t - 42. Calculate g*a(s) + 5*b(s).
7*s
Let o(b) = -17*b**2 - 27*b + 112. Let d(a) = 6*a**2 + 10*a - 36. Give -8*d(u) - 3*o(u).
3*u**2 + u - 48
Let a(j) = -2*j - 15. Suppose -5 + 27 = 2*y + 2*h, 8 = -4*h. Let t be 4/38 + ((-4032)/76)/(-9). Let x(f) = -4*f + 0 + 2 + 5*f + 5. Give t*a(i) + y*x(i).
i + 1
Let o(g) = 6*g - 1965. Let m(j) = -8*j + 1971. Give 4*m(t) + 5*o(t).
-2*t - 1941
Suppose 2*k + 2*a = 0, 85*a = k + 80*a - 30. Let s(x) = 19*x**2 + 5. Let l(h) = 48*h**2 + 12. Determine k*l | {
"pile_set_name": "DM Mathematics"
} |
*2 - 167.
1194*d**2
Collect the terms in 6 + 2 - 79*z + 0 + 41*z + 30*z.
-8*z + 8
Collect the terms in -9*j**3 - 11*j**3 + 5*j**3 - 3*j**3 + 6*j**3.
-12*j**3
Collect the terms in 91*n + 97*n - 274*n + 91*n.
5*n
Collect the terms in 2*l - 53*l + 10*l + 32*l - 2*l**2 + 9*l.
-2*l**2
Collect the terms in -6730*r**2 - 7335*r**2 - 198*r**2.
-14263*r**2
Collect the terms in 0*y - 2456 + 0*y + 30*y**3 - 31*y**3.
-y**3 - 2456
Collect the terms in 3*a**3 - 1684808*a + 1684808*a.
3*a**3
Collect the terms in 137*l**2 - 7*l**2 - 54*l**2 - 36*l**2.
40*l**2
Collect the terms in -3 - 38*w - 62*w - 12*w.
-112*w - 3
Collect the terms in -2*n**2 + 3*n - 3*n + 80 - 95.
-2*n**2 - 15
Collect the terms in -6071*a + 3032*a + 3030*a.
-9*a
Collect the terms in y + 26776*y**2 - 27881*y**2 - y.
-1105*y**2
Collect the terms in -6*k + 4*k**3 - 3*k + 9*k.
4*k**3
Collect the terms in -13*u + 41*u - 5*u + 18*u + 8*u.
49*u
Collect the terms in -127 + 60*r + 39 + 47 + 42.
60*r + 1
Collect the terms in 8 + 260*i**2 - 95*i**2 - 133*i**2.
32*i**2 + 8
Collect the terms in 18446787 + 33*w - 18446787.
33*w
Collect the terms in 3*j**3 + 34*j + 33*j**3 - 19*j - 12*j - 12*j**3.
24*j**3 + 3*j
Collect the terms in 2*c + 6*c - c - 13*c - 8*c.
-14*c
Collect the terms in 3*f**3 + 48715159*f**2 - 48715159*f**2.
3*f**3
Collect the terms in -255298*s**3 + 510659*s**3 - 255362*s**3.
-s**3
Collect the terms in -302*v - 2446*v**2 - 2447*v**2 + 302*v + 7333*v**2 - 2441*v**2.
-v**2
Collect the terms in 17419*s + 2718*s - 4570*s + 31917*s.
47484*s
Collect the terms in -4*b - 3*b**2 - 3*b**2 + 101*b + 3*b**2.
-3*b**2 + 97*b
Collect the terms in 257*t - 7*t**2 + 198*t - 455*t.
-7*t**2
Collect the terms in 1 - 1 + 283*q - 379*q.
-96*q
Collect the terms in -154*w + 419*w + 234*w + 110*w.
609*w
Collect the terms in 2*p**3 + 37*p**2 - 71*p**2 + 999 + 34*p**2.
2*p**3 + 999
Collect the terms in -2 - 2 + 4 + 250691*v - 250691*v + 10*v**2.
10*v**2
Collect the terms in 2782*d**3 + 2763*d**3 - 8344*d**3 + 2778*d**3.
-21*d**3
Collect the terms in 1878 + 32*h - 1878.
32*h
Collect the terms in 1240*w + 347*w + 236*w.
1823*w
Collect the terms in 18870*d**2 - 18870*d**2 + 2047*d**3.
2047*d**3
Collect the terms in -113*f**2 - 3 - 166*f**2 - 2*f + 5.
-279*f**2 - 2*f + 2
Collect the terms in 201*y - 407*y - 2*y**2 + 206*y.
-2*y**2
Collect the terms in -4*v**2 - 13 - 163 + 3*v**2 + 3*v**2.
2*v**2 - 176
Collect the terms in -10*q - 13*q - 15*q + 21*q.
-17*q
Collect the terms in 44 - 42 + 0*i - 549*i**2 + i - 580*i**2.
-1129*i**2 + i + 2
Collect the terms in -124658*j**2 + 12*j**3 + 124658*j**2.
12*j**3
Collect the terms in z**2 + 4805*z - 2482*z - 2323*z.
z**2
Collect the terms in 15*i + i**3 - 5*i - 10*i - 247.
i**3 - 247
Collect the terms in h - 14*h - 28*h - 30*h + 18*h.
-53*h
Collect the terms in 20*x**3 - 383486 + 383486.
20*x**3
Collect the terms in -22*f + 15*f + 42*f + 20*f.
55*f
Collect the terms in -181472081*g + 181472081*g + 8*g**3.
8*g**3
Collect the terms in 10260*u**2 - 30784*u**2 + 10278*u**2 + 10267*u**2.
21*u**2
Collect the terms in 933*c**2 - 3679 + 3679.
933*c**2
Collect the terms in -4 - 9*c + 0 - 173*c**2 + 3.
-173*c**2 - 9*c - 1
Collect the terms in -6752*a - 4 + 4 - 3486*a.
-10238*a
Collect the terms in -247*d + 698*d + 1336*d + 865*d.
2652*d
Collect the terms in 48*s**2 + 189*s**2 - 240*s**2.
-3*s**2
Collect the terms in -86*o + 7*o + 6*o + 34*o.
-39*o
Collect the terms in 902*m + 1126*m + 936*m - 983*m.
1981*m
Collect the terms in -2*c - 4 + 441 - 437.
-2*c
Collect the terms in 3*h**2 + 3 - 69*h**3 - 165*h**3 + 21*h**3 - h**2.
-213*h**3 + 2*h**2 + 3
Collect the terms in -173*j**3 + 112*j**3 + 138*j**3 + 157*j**3.
234*j**3
Collect the terms in -33662*o + 22*o**2 - 33663*o + 134653*o - 33662*o - 33666*o.
22*o**2
Collect the terms in 78893*b - 1 - 2 - 78901*b.
-8*b - 3
Collect the terms in -4*w - 395094*w**2 + 395093*w**2 + 4*w.
-w**2
Collect the terms in 32*z**2 - 63*z**2 + 6 - 5.
-31*z**2 + 1
Collect the terms in -38 + 5*j + j + 4*j - 9*j.
j - 38
Collect the terms in 6 - 3 + 178*u**3 - 11 + 4 + 5.
178*u**3 + 1
Collect the terms in -10696*y**2 + 47 + 10651*y**2 - 47.
-45*y**2
Collect the terms in -140*f - 281*f + 402*f.
-19*f
Collect the terms in 1345*y**2 + 446*y**2 - 97*y**2.
1694*y**2
Collect the terms in -12148*s + 12148*s + 9*s**3 - 31*s**3.
-22*s**3
Collect the terms in 98071*q - 48972*q - 3*q**3 - 49099*q.
-3*q**3
Collect the terms in -10382*s**3 + 5202*s**3 + 5138*s**3.
-42*s**3
Collect the terms in 906*n + 6*n**3 - 3*n**2 - 906*n - 2.
6*n**3 - 3*n**2 - 2
Collect the terms in 0*y**2 + 632 - 1890 - y**2 + 621 + 637.
-y**2
Collect the terms in -1453*i**2 + 19*i - 1453*i**2 - 19*i + 2907*i**2.
i**2
Collect the terms in 79*a**3 - 297*a**3 + 70*a**3 + 75*a**3 + 69*a**3.
-4*a**3
Collect the terms in -19*a - 27*a - 3*a + 16*a - 26*a.
-59*a
Collect the terms in -2680*n**2 - 2675*n**2 - 2675*n**2 + 10699*n**2 - 2672*n**2.
-3*n**2
Collect the terms in 40108*d + 1 - 40111*d - 2.
-3*d - 1
Collect the terms in -24*q**2 - q + q - 12*q**2 + 26*q**2.
-10*q**2
Collect the terms in -280*d + 237*d + 1214*d + 1020*d.
2191*d
Collect the terms in -3*a + 4 + 0 + a - 6*a.
-8*a + 4
Collect the terms in 958*s - 2928*s + 975*s + 983*s.
-12*s
Collect the terms in -36*w**2 + 2*w + 64 - 18 - 46.
-36*w**2 + 2*w
Collect the terms in 545*b - 1037*b + 497*b.
5*b
Collect the terms in -997*a**2 - 645*a**2 - 358*a**2 + 152*a**2.
-1848*a**2
Collect the terms in -13*m**2 + 14*m**2 - 3 + 15*m**2.
16*m**2 - 3
Collect the terms in 147 - 147 + 2836*c**2.
2836*c**2
Collect the terms in -g + g + 493713*g**2 - 493716*g**2.
-3*g**2
Collect the terms in -478*u**3 + 480*u**3 + 31*u**2 - u - 2*u + 3*u.
2*u**3 + 31*u**2
Collect the terms in 0*n**3 - 9*n**3 - 5*n**2 + 2*n + 22*n.
-9*n**3 - 5*n**2 + 24*n
Collect the terms in 78*r**2 - 2165074 + 2165074.
78*r**2
Collect the terms in 171 - 316 + 2*j - 3*j + 145.
-j
Collect the terms in 656*f**2 - 1084*f**2 - 1160*f**2 - 308*f**2.
-1896*f**2
Collect the terms in -22*w**2 - 73*w**2 + 16*w**2 + 3*w.
-79*w**2 + 3*w
Collect the terms in 7652 - 7657 - 4*a + 3*a.
-a - 5
Collect the terms in 2 - 17*z**2 - 4 - 24 - 39*z**2.
-56*z**2 - 26
Collect the terms in 2*q**2 + 3 + 3046*q**3 - 1 - 2629*q**3 + 5696*q**3.
6113*q**3 + 2*q**2 + 2
Collect the terms in -229*c + 110*c + 17*c + 99*c.
-3*c
Collect the terms in -2*g**3 + 49841113 - 49841113 - 2*g**3.
-4*g**3
Collect the terms in -663*a**2 + 4884*a**2 + 3585*a**2 + 2*a - 313*a**2.
7493*a**2 + 2*a
Collect the terms in 788*j + 780*j - 3138*j + 801*j + 794*j.
25*j
Collect the terms in -9*u**3 - 13*u**2 - 10*u**3 + 5*u**2 + 8*u**2 + 20*u**3.
u**3
Collect the terms in -1117*b + 2*b**2 + 590 - 597 - b**2.
b**2 - 1117*b - 7
Collect the terms in 10963221*g**2 - 10963221*g**2 - 22*g**3.
-22*g**3
Collect the terms in 13*p**3 - 1128*p**3 - 640*p**3.
-1755*p**3
Collect the terms in 9*v + 5*v - 19*v + 4*v + 1678.
-v + 1678
Collect the terms in -352*p**3 + 884*p**3 - 11373*p**3.
-10841*p**3
Collect the terms in -763*s**3 - 12*s**3 - 4280*s**3 - 2297*s**3.
-7352*s**3
Collect the terms in 0*x**2 + 2*x**2 - 10*x**2 - 8*x**2 - 11*x**2.
-27*x**2
Collect the terms in 1785*y - 1539*y - 245*y.
y
Collect the terms in -8*s**2 - 7159838*s - 31*s**2 + 7159838*s.
-39*s**2
Collect the terms in -794*q - 5667*q - 2180*q.
-8641*q
Collect the terms in 23*u**2 - 9130426 + 9130426.
23*u**2
Collect the terms in -254 - 19*n + 46*n + 254.
27*n
Collect the terms in -40209*z**2 - 32744*z**2 + 18173*z**2 + 2.
-54780*z**2 + 2
Collect the terms in 152*r - 302*r - r**2 + 150*r - 4*r**2.
-5*r**2
Collect the terms in -285 - 6*c + 6*c + 48*c**2 - 50*c**2.
-2*c**2 - 285
Collect the terms in -67*z**2 - 8 - 1 - 106*z**2 - 10*z**2 + 8.
-183*z**2 - 1
Collect the terms in -1497*h**2 - 6*h**3 - 1507*h**2 + 3680*h**2 - 676*h**2.
-6*h**3
Collect the terms in 4206*g**3 - 1386*g**3 - 1380*g**3 - 1406*g**3.
34*g**3
Collect the terms in -102*c**2 + 18*c**3 + 213*c**2 - 110*c**2.
18*c**3 + c**2
Collect the terms in 19 + 14 + 8*h**2 + 26*h - 33.
8*h**2 + 26*h
Collect the terms in -867*j - 736*j + 1600*j.
-3*j
Collect the terms in 1 + 4*b - 5 - 5*b + 0.
-b - 4
Collect the terms in p + 226364 - 3*p - 226364 - 3*p.
-5*p
Collect the terms in 10016*d**2 + 1 - 1 - 32238*d**2.
-22222*d**2
Collect the terms in 19*f**3 + | {
"pile_set_name": "DM Mathematics"
} |
at is next in 1583841, 1583800, 1583699, 1583508, 1583197?
1582736
What is next in 28817, 115298, 259445, 461258, 720737, 1037882?
1412693
What is the next term in -110809, -110814, -110819, -110824, -110829?
-110834
What is the next term in -24768, -23577, -22384, -21189, -19992, -18793?
-17592
What comes next: 67464, 269759, 606942, 1079019, 1685996?
2427879
What is the next term in 28515274, 57030545, 85545816, 114061087, 142576358?
171091629
What comes next: -93, -114, -53, 102, 363?
742
What is the next term in -9254791, -9254659, -9254527, -9254395?
-9254263
What is next in -4215014, -16860114, -37935280, -67440512, -105375810, -151741174, -206536604?
-269762100
What is next in -445, -55, 499, 1211, 2075, 3085, 4235?
5519
What is the next term in -13439, -13435, -13427, -13415, -13399, -13379, -13355?
-13327
What is next in -4041, -32161, -108475, -257079, -502069, -867541, -1377591, -2056315?
-2927809
What is the next term in -4844, -6908, -10338, -15128, -21272, -28764, -37598?
-47768
What comes next: -10385, -9675, -7751, -4007, 2163, 11365, 24205?
41289
What is next in 23924107, 47848212, 71772317, 95696422?
119620527
What comes next: -6771, -6317, -5851, -5367, -4859, -4321, -3747?
-3131
What is the next term in 1422, 1423, 1426, 1431, 1438?
1447
What comes next: 334727216, 334727221, 334727228, 334727237, 334727248?
334727261
What is next in -254, -1223, -4026, -9581, -18806, -32619, -51938, -77681?
-110766
What comes next: -2758, -5753, -8734, -11701, -14654, -17593?
-20518
What comes next: 2016, 15555, 52146, 123315, 240588, 415491?
659550
What comes next: 6855, -390, -7637, -14886, -22137, -29390?
-36645
What is next in 42713126, 85426251, 128139376?
170852501
What is the next term in -345536896, -345536895, -345536894, -345536893?
-345536892
What comes next: 66, 1288, 3294, 6066, 9586, 13836, 18798?
24454
What is next in 994, 1096, 1178, 1240, 1282, 1304?
1306
What is the next term in 296443, 592728, 888853, 1184818?
1480623
What is next in -724267, -724332, -724397, -724462, -724527?
-724592
What is next in -398, -1479, -3340, -6029, -9594, -14083, -19544?
-26025
What is next in -10720868, -10720874, -10720880, -10720886, -10720892, -10720898?
-10720904
What is next in 80199, 80184, 80167, 80148, 80127, 80104, 80079?
80052
What is the next term in 554927, 554981, 555035?
555089
What is the next term in 59857, 119868, 179883, 239902, 299925, 359952?
419983
What is the next term in -346563, -1386295, -3119191, -5545257, -8664499?
-12476923
What comes next: -31663, -31605, -31547, -31489?
-31431
What is the next term in -35875, -35034, -33623, -31636, -29067, -25910?
-22159
What is the next term in 538953, 1077918, 1616883, 2155848, 2694813?
3233778
What is next in 1667736, 3335480, 5003232, 6670992, 8338760?
10006536
What is the next term in -16513, -16487, -16381, -16141, -15713, -15043, -14077?
-12761
What comes next: -4432, -4183, -3778, -3223, -2524, -1687, -718?
377
What is next in -10908, -20946, -30116, -38418, -45852, -52418, -58116?
-62946
What comes next: 61197809, 61197815, 61197821, 61197827, 61197833, 61197839?
61197845
What is the next term in 5033, 11896, 20593, 31124, 43489, 57688, 73721?
91588
What is the next term in 30501, 31259, 32521, 34287?
36557
What comes next: -132423, -265269, -398121, -530979, -663843?
-796713
What comes next: -91, -922, -3293, -7978, -15751, -27386?
-43657
What comes next: 24818, 24736, 24574, 24326, 23986, 23548?
23006
What comes next: -59, -197, -565, -1319, -2615, -4609?
-7457
What is the next term in -623690, -1246971, -1870252, -2493533, -3116814?
-3740095
What is the next term in -2754735, -2754708, -2754657, -2754576, -2754459, -2754300, -2754093, -2753832?
-2753511
What is the next term in -9166, -18349, -27538, -36733?
-45934
What is next in 32491, 31996, 31507, 31024?
30547
What comes next: -120388, -240482, -360276, -479764, -598940, -717798, -836332?
-954536
What comes next: 159, 506, 827, 912, 551?
-466
What comes next: 673770, 1347145, 2020520, 2693895?
3367270
What is next in -2303, -2255, -2181, -2075, -1931?
-1743
What comes next: 229570, 459079, 688562, 918007, 1147402?
1376735
What is the next term in 10380256, 10380238, 10380208, 10380166, 10380112, 10380046?
10379968
What is the next term in 29080, 58262, 87444, 116626, 145808?
174990
What is the next term in -510, -1368, -2544, -4056, -5922, -8160?
-10788
What is the next term in 251444, 251583, 251722, 251861, 252000?
252139
What is the next term in -757501, -3029946, -6817353, -12119722?
-18937053
What is the next term in 1433693, 1433682, 1433667, 1433648, 1433625, 1433598?
1433567
What is the next term in -256, -501, -690, -817, -876?
-861
What is the next term in 1816976, 1817343, 1817710, 1818077?
1818444
What is the next term in -49821, -99121, -148421, -197721?
-247021
What comes next: -1980567, -1980645, -1980775, -1980957, -1981191, -1981477?
-1981815
What comes next: -39832512, -79665028, -119497544, -159330060, -199162576, -238995092?
-278827608
What is next in 41191067, 82382132, 123573197?
164764262
What is next in -19723497, -78893895, -177511233, -315575517, -493086753, -710044947?
-966450105
What is next in 24798, 23194, 21590?
19986
What is next in -44804, -88864, -132936, -177026, -221140, -265284, -309464?
-353686
What is next in 13327903, 26655782, 39983661, 53311540, 66639419, 79967298?
93295177
What comes next: 22430, 44821, 67204, 89573, 111922, 134245, 156536?
178789
What comes next: -527156, -527177, -527198?
-527219
What is next in -146326, -292664, -439000, -585334, -731666, -877996?
-1024324
What comes next: -32102, -64074, -95890, -127544, -159030, -190342, -221474?
-252420
What is next in -198549, -794153, -1786827, -3176571?
-4963385
What is next in -54994, -110153, -165312, -220471, -275630, -330789?
-385948
What is next in 1328, 10746, 36342, 86216, 168468, 291198, 462506, 690492?
983256
What is next in 56193254, 112386510, 168579764, 224773016, 280966266, 337159514?
393352760
What is the next term in -119413673, -119413680, -119413687?
-119413694
What is next in 21798866, 21798868, 21798872, 21798878, 21798886, 21798896?
21798908
What comes next: -101446, -101500, -101554, -101608, -101662?
-101716
What is next in 6275393, 6275395, 6275397?
6275399
What is the next term in -655, -1215, -1785, -2383, -3027, -3735, -4525, -5415?
-6423
What is the next term in 2973909, 2974143, 2974377, 2974611, 2974845, 2975079?
2975313
What is next in -3205, -13818, -31539, -56368, -88305, -127350?
-173503
What is next in 125494, 124336, 123178, 122020?
120862
What is the next term in -143961, -287987, -432013, -576039, -720065?
-864091
What comes next: -991250, -1982522, -2973794?
-3965066
What is the next term in -217124, -433334, -649544, -865754, -1081964, -1298174?
-1514384
What is the next term in -20441, -40993, -61647, -82403?
-103261
What is next in -3621909, -7243796, -10865671, -14487528, -18109361?
-21731164
What is next in 117110, 117815, 118522, 119231, 119942, 120655?
121370
What comes next: 637896, 637908, 637920, 637932, 637944, 637956?
637968
What is the next term in 626, 589, 546, 497, 442, 381, 314?
241
What comes next: 33177824, 33177778, 33177730, 33177680, 33177628, 33177574, 33177518?
33177460
What is next in -1907, -14793, -49599, -117233, -228603, -394617, -626183, -934209?
-1329603
What is next in -66324643, -132649287, -198973931?
-265298575
What is next in 1712, 1728, 1820, 1982, 2208, 2492, 2828, 3210?
3632
What comes next: 3115457, 6230837, 9346217, 12461597, 15576977, 18692357?
21807737
What comes next: 85698152, 171396306, 257094460, 342792614, 428490768?
514188922
What comes next: 11074, 10688, 9654, 7648, 4346, -576, -7442?
-16576
What is the next term in -5045, -9564, -14083, -18608, -23145?
-27700
What is next in 11347, 9032, 6719, 4408, 2099?
-208
What is the next term in 607, 528, 389, 184, -93, -448, -887?
-1416
What is the next term in -8953, -17632, -26329, -35044?
-43777
What is the next term in -251471, -502335, -752589, -1002233, -1251267?
-1499691
What is next in -611615, -1223310, -1835005, -2446700, -3058395?
-3670090
What is the next term in -88213114, -88213117, -88213120, -88213123, -88213126?
-88213129
What is next in -3529, -3570, -3629, - | {
"pile_set_name": "DM Mathematics"
} |
ns digit of w?
1
Let z(n) = -n**3 - 14*n**2 + 14*n - 12. Let k be z(-15). What is the units digit of (48/(-20) + k)*15?
9
Suppose l - 8 + 31 = 0. Let q = -15 - l. What is the units digit of q?
8
Let i = 79 - 43. What is the units digit of i?
6
Let r be 18/(4 + (-4 - -1)). Let u = -6 + r. What is the units digit of u?
2
What is the tens digit of 1328/12 + -2 + (-3)/(-9)?
0
Let l(g) = -g - 16. Let j be l(0). Let m = j - -1. Let t = -9 - m. What is the units digit of t?
6
Suppose -22 + 7 = -3*x. Suppose 5*f = 5*c - 0*f - 25, -x*c - 3*f = -9. What is the units digit of c?
3
Let y = -11 + 20. What is the units digit of y?
9
Let w(c) = 24*c**2 - 2*c. What is the units digit of w(-1)?
6
Suppose 0*f = -c - 5*f + 37, 3*c - 11 = 5*f. Suppose -c = -6*p + 2*p. What is the units digit of p?
3
Suppose 0 = -7*h + 2*h + 75. Suppose 5*b = 5*x - 32 - 23, 2*x - h = -5*b. Suppose 5*g - x = 5. What is the units digit of g?
3
What is the tens digit of (177/(-2))/(4/(-8))?
7
Suppose 70 = -4*x + 9*x. What is the tens digit of x?
1
Suppose -4*k + 25 + 21 = 3*s, 0 = -4*s + 3*k + 28. Suppose -3*x + 2*x = -s. What is the units digit of x?
0
Let a = 30 + -49. Let g = -9 - a. What is the tens digit of g?
1
Let h = 12 - -2. What is the tens digit of h?
1
Let q(x) = 9*x + 8. What is the tens digit of q(2)?
2
Let k = -3 - -53. What is the tens digit of k?
5
Let p(f) = 5*f - 1. Let w = 0 - -2. Suppose 6 = -4*o - 2*d, 0*o + w*d = o - 11. What is the units digit of p(o)?
4
Suppose 2*u = 4, -u = -4*h + 4*u + 2. Suppose -3*t + 2*w - 5*w = -30, -38 = -h*t + 5*w. What is the tens digit of t?
1
Suppose -4*c + 716 = 4*y, -2 = -3*c + 7. What is the tens digit of y?
7
Let g be (0 - -4)*6/8. Suppose 4*t + 1 = -3, 5*p - 12 = -g*t. What is the units digit of 6/9 - (-34)/p?
2
Suppose -4*g = 2*x - x - 47, 74 = 2*x + 3*g. What is the tens digit of x?
3
Suppose 0 = -j - 3*j + 24. Let x(p) = 6*p - 5. What is the tens digit of x(j)?
3
Let h = 0 - -1. Suppose s = u - 4*s - 13, -2*u = -s + h. What is the units digit of 3/2 + (-1)/u?
2
Let q be 131/5 - 1/5. Let g = -16 + q. What is the tens digit of g?
1
Let t(j) = -3*j**3 - 2*j + 1 + j**2 - j**3 + 0*j**3 + 0. Let d be t(1). What is the units digit of ((-7)/(-4))/((-1)/d)?
7
Let o(f) = -5*f + 1 - 2*f + 0*f + 6*f. Let d(p) = -2. Let y(a) = -4*d(a) - 3*o(a). What is the tens digit of y(5)?
2
Suppose 2*f - 31 = 3*l - 7, l = -f + 17. What is the units digit of f?
5
Let w(a) = a. Let h be w(2). Suppose -v - h*v = -54. What is the units digit of v?
8
Let j(x) be the first derivative of 3*x**2/2 + 2*x + 3. What is the units digit of j(4)?
4
Suppose -u + 35 + 13 = 0. What is the tens digit of u?
4
Let m be (-1 + -5)/(2/2). What is the tens digit of ((-12)/(-15))/(m/(-105))?
1
Suppose x + 2*f = 19, -3*x + 43 = x - 3*f. What is the tens digit of x?
1
Suppose 5*h - 14 = -z, h = -4*h + 5. What is the units digit of z - (6 - (-8)/(-2))?
7
Let o(j) = j**3 - 7*j**2 + 5*j + 1. Let v be o(6). What is the units digit of (-22)/v - 4/10?
4
Let c(m) = -12*m + 40. Let d(i) = 3*i + 3 - 7 - 1 - 5. Let h(j) = 2*c(j) + 9*d(j). What is the tens digit of h(8)?
1
Suppose 2*j - 83 = 3*g, 4*j - 4*g = 22 + 150. What is the tens digit of j?
4
Let a be ((-160)/(-25))/((-4)/(-70)). Suppose 0 = -2*w - 2*w + a. What is the units digit of w?
8
Let c(i) = -i**3 + 8*i**2 - 5*i - 5. Let d be c(7). Suppose 2*k - 23 = d. Suppose -k = -5*j + j. What is the units digit of j?
4
Suppose j - 4*j = -21. What is the units digit of j?
7
Suppose 2*l = 9 + 5. Let y be (-2)/l - (-248)/(-14). Let c = y + 30. What is the units digit of c?
2
Let r = 7 - -1. Suppose 278 = 5*f + r. Suppose 0 = 2*p + 4*y - 28, 5*p + y + y = f. What is the tens digit of p?
1
Let v = -183 + 331. What is the tens digit of v?
4
Suppose 4*v - 3*x - x + 16 = 0, -3*x = -6. Let w = 10 + v. What is the units digit of w?
8
Let y be (0 - 1)/((-2)/10). Suppose s - 5*u + 17 = 2*s, y*u = 10. What is the units digit of s?
7
Let w = 95 - 47. What is the units digit of w?
8
Suppose -4*m + 2*g = 3*g + 22, m + 4 = -g. What is the units digit of (-29)/(-2) + m/4?
3
Let z = 10 - 5. Suppose -a + 4*s = -0*a + 5, -z*s + 75 = 5*a. What is the units digit of a?
1
Let n be 0/(-3) + 1 + 15. Suppose 2*p = n + 26. What is the units digit of p?
1
Let y(o) = 2*o**2 - 3*o - 4. Let x be y(3). Suppose -9 = -5*u - 4. Suppose u = -x*b + 36. What is the units digit of b?
7
Let b(h) = h**3 + 8*h**2 + h + 9. Let d be b(-8). What is the units digit of 5/(7/2 - d)?
2
Let l = 15 + 1. What is the units digit of l?
6
Let b(c) = -4 - c**2 + 0 + 2*c**2 + c. Let n = -3 - 0. What is the units digit of b(n)?
2
Let h = 104 + -72. What is the units digit of h?
2
Suppose 77 = 2*a - 3*r, -4*a + 2*a = 5*r - 117. What is the units digit of a?
6
Let r(k) = 2*k**2 + 9*k + 1. What is the units digit of r(-6)?
9
Suppose -1 = -y + 2. Suppose -4*n + y = -1. What is the units digit of n?
1
Let m be 44/20 - 1/5. Suppose -6 = -2*a - m*n + 4*n, -3*n - 3 = 3*a. What is the units digit of a?
1
Suppose 0 = 7*b - 593 + 194. What is the tens digit of b?
5
Let q = 5 + -8. What is the tens digit of (q/(-6))/((-1)/(-42))?
2
Let l = 16 - 10. What is the units digit of (21/l)/(-7)*-16?
8
Suppose -29*t = -25*t. Let h = 6 + -4. Suppose 0 = -s - t + h. What is the units digit of s?
2
Let r be 70/(-4) + 2/(-4). Let m be (-273)/(-11) + 8/44. Let f = m + r. What is the units digit of f?
7
Let w(l) = -l**3 - 2*l**2 + 4*l + 3. Let u be w(-3). Let z be u - 2/(-4 + 2). Suppose -5*s = -26 + z. What is the units digit of s?
5
Let n = -18 - -2. Let q be 14/(-49) + n/(-7). Suppose -24 = q*z - 66. What is the tens digit of z?
2
Let r = 15 - 9. Suppose 30 = r*z - z. What is the units digit of z?
6
Suppose -z - 4 = -3*n - 13, -2*z = -5*n - 17. Let k(f) = f**3 - 7*f**2 - 3*f + 5. Let m be k(z). What is the units digit of (-3)/(-7) + (-420)/m?
9
What is the tens digit of (13/(-3) + 3)*(-90)/4?
3
Let p(f) = -2*f**3 - 2*f**2 + f - 2. Let k be p(-2). Suppose 3*i - 48 = -k*l, 7 = 3*i - 2*l - 23. What is the tens digit of i?
1
Let i = -1 - -10. Let z = i - 4. Suppose 0 = 3*n - 3*b - 21, -z*n + 4*b = 3*b - 27. What is the units digit of n?
5
Let t be 8/5*(-10)/(-4). Suppose -22 = -t*m - 3*r, -2*r = 5*m - 6*r - 12. What is the units digit of m?
4
Suppose 0 = 5*z + 4*a - 225, 0*z + 4*a + 62 = 2*z. What is the tens digit of z?
4
Suppose -13*x + 8*x = -255. What is the units digit of x?
1
Let p(i) = -i**3 - 3*i**2 + 5*i + 4. Suppose 5*m + 5*v + 30 = 0, 4*m + 5*v - 4*v = -18. Let k be p(m). Suppose 0 = 2*x - k*x - 10. What is the units digit of x?
5
Let n = 41 - 16. Suppose 5*s - n = -5. Suppose -5*v = -0*v + a - 11, 5*v - 6 = s*a. What is the units digit of v?
2
Suppose -2*m + 486 = 4*m. What is the tens digit of m?
8
Let g be (-4)/(-7)*21/6. What is the units digit of (1/g)/((-2)/(-40))?
0
Let r be (-20)/(-3)*6/4. Let k = -5 + r. Suppose -5*u + k*c + 60 = 0, 7 = u + c - 5. What is the units digit of u?
2
Let d = -138 + 223. What is the tens digit of d?
8
Suppose -96 = -7*j + 3*j + 4*b, b - 90 = -5*j. Let w = j - 8. Let p = w + -8. What is the units digit of p?
3
What is the tens digit of (-138)/(184/(-112) + (-1)/(-7))?
9
Let t(s) = s**2 + 4*s - 6. Suppose 4*o - 42 - 70 = 0. Suppose -5*b = -2*r - 19, -o = 3*r + 4*b - 11. What is the tens digit of t(r)?
1
Let o(w) = -w**3 - 5*w**2 - 5*w - 6. What is the units digit of o(-5)?
9
Let n = 2 + 0. Suppose 2*t = -4*k + 12, k - 1 = t + n. What is the units digit of 1 - (t - (2 - 0))?
3
Let w = -2 + 19. Let l = w - 15. What is the units digit of l?
2
What is the units digit of (281 - 1)/4 + 3?
3
Let b be (-16)/24 - (-110)/(-6). Let j = 5 - b. What is the units digit of j?
4
Let u = 442 + -316. What is the tens digit of u?
2
Let l = -161 - -275. What is the hundreds digit of l?
1
Suppose 2*n - 57 = -n. Let v = n + -11. What is the units digit of v?
8
Suppose 0 = 2*h - 4, -2*s = 3*h - 30 + 4. Suppose 0 = 4*g - s + 2. What is the tens digit of (4 - -7) + (g - 1)?
1
Suppose -1 = o - 3. Let i be (6/8)/(o/48). Let h = i - 9. What is the units digit of h?
9
Let n(j) = 2*j - 4 + 0 + 1. Suppose 2 = -k + 6. What is the units digit of n(k)?
5
Suppose -5*g = -2 - 18. Suppose 0 = h - 6*h + l + g, 2 = 3*h - l. What is the tens digit of (-67)/(-3) - h/3?
2
Let k = 56 + -24. What is the tens digi | {
"pile_set_name": "DM Mathematics"
} |
Let i be -2 + 6 + 9/((-36)/14). What is the smallest value in -2, i, -27?
-27
Let f be -2*1 - (0 - (-7)/(-7)). Let u be -3 + f + 14/4. What is the third biggest value in 0.4, u, -2/7?
u
Let t = -157.86 + 3.86. Let z = 153.9 + t. Which is the biggest value? (a) -0.4 (b) -1.7 (c) z
c
Let l = 11 + -10. Let v = 1.41 - 1.71. What is the third smallest value in l, -4, 0.1, v?
0.1
Let x = -140.8249 + 0.1249. Let p = -141 - x. Let d = 6 + -4. Which is the biggest value? (a) 3/4 (b) d (c) p
b
Let x = 1385 - 1385.7. Let j = -0.07 + 0.66. Let d = x + j. Which is the smallest value? (a) d (b) -1/5 (c) 3
b
Suppose 20*s - 17*s - 15 = 0. Suppose 0 = s*u - 3*u. Which is the second smallest value? (a) -5 (b) u (c) 2/11
b
Let a be (0 - (-2)/(-2))*-366. Let b(o) = -o**3 + a + 4*o**2 - 366 - 2*o. Let z be b(3). What is the second biggest value in -0.4, z, 4?
z
Let m = 2.6 + 70.4. Let i = m + -72.9. What is the second biggest value in i, -0.4, -5?
-0.4
Let h be 34/(-5) - -7 - 13/15. Which is the second biggest value? (a) 1/8 (b) -149 (c) h
c
Let z be (-1015)/(-56) + 2*1/(-16). Let u = 33/2 - z. What is the second biggest value in -8, u, 2, -0.3?
-0.3
Let i = -0.5 - -0.1. Let n = -0.6967 - -0.5967. What is the third smallest value in n, i, -0.04?
-0.04
Let u = -11.811 - 2.189. Which is the second smallest value? (a) -0.3 (b) u (c) 0 (d) 9
a
Let x = -152.14 - -148. Let y = -0.14 - x. Let d = 12/41 - 2/287. Which is the second biggest value? (a) y (b) 4/9 (c) d
b
Let i be 2/12 - 8212/(-72). Let k = i + -114. Which is the third smallest value? (a) 2/7 (b) 0 (c) k
a
Let o = -1.56 - -53.56. Which is the smallest value? (a) o (b) 2 (c) -4
c
Let t = 3.43 + 0.57. What is the third biggest value in -1, -0.06, -0.3, t?
-0.3
Let z = -202.9 - -203. Which is the second smallest value? (a) 0.2 (b) 31 (c) z
a
Let l = 2.64 - 1.64. Which is the third smallest value? (a) l (b) 0.3 (c) 0.9
a
Let d = 0.289 + -0.3. Let t = 0.311 + d. Which is the second smallest value? (a) -3 (b) -0.2 (c) t
b
Let j be 2/9 - (-85)/(-45). Let k = 259 + -257. Which is the biggest value? (a) -2/11 (b) j (c) k (d) 0.4
c
Let q = 0.0476 - -2.0524. What is the second biggest value in -0.5, -3, q?
-0.5
Let m = 0.288 - 0.288. Let j = -4 + 4.4. What is the fourth smallest value in m, 3, 4, j?
4
Let n be 2/(-3)*(-25)/(-10). Let s = 43/6 - 106/15. What is the second smallest value in s, -5, 1, n?
n
Let h = -3/1853 + 1910/35207. Which is the third biggest value? (a) 0 (b) 1 (c) h
a
Let c be 4/18 - 260/(-45). Suppose -y = -c*y - j + 4, 0 = -5*y - 3*j + 2. What is the third smallest value in 0.4, 5, y?
5
Let v = -361/42 + 59/7. Suppose 0 = -2*d - 2*d + 16. What is the smallest value in -2/3, d, v?
-2/3
Suppose k - 31 = 4*y, k - 2*y + 13 = 2*k. Let l = -13 + k. Let z be l/(-4)*4/12. What is the second smallest value in z, 1, 5?
1
Let a be ((-2)/(-16)*-2)/(9 - 8). What is the second smallest value in 1, -2, 0.03, a?
a
Let n = -11.75 + 8.75. What is the second biggest value in 149, n, -2?
-2
Let g = 12/35 + -247/210. Let b(r) = 4*r**2 - r + 1. Let o be b(1). Let z be (3/(-9))/(11/6). What is the second smallest value in g, z, o?
z
Let h = -651.7 + 652. Which is the smallest value? (a) h (b) 9 (c) 12
a
Let u = 0.67 - 1.17. Let d = 11 + -12. Which is the biggest value? (a) -4 (b) d (c) u
c
Let b = 700 + -699.7. What is the smallest value in -0.3, 11, 0.4, b?
-0.3
Let r = 0.08 + 0.02. What is the third smallest value in 18, -3, r?
18
Let h = -183 + 180. What is the third smallest value in h, -1, 2, 20?
2
Let h be 3/2*(-8)/(-3). Let a = 1565 - 3133/2. Let j = -65/4 + 17. What is the second biggest value in j, a, h?
j
Let k be 1/8*(-4)/2. Let x be (-102)/1428 + ((-3)/2 - (-1 - 1)). Which is the fourth biggest value? (a) 0.2 (b) 1.4 (c) k (d) x
c
Let o be 0 - (4/12)/(-3 + 0). What is the biggest value in 2/9, -2, o, -0.5?
2/9
Let p = -2 + 2.04. Let d = 6.3 + -6.7. What is the third biggest value in d, p, -1?
-1
Let s = -0.13 - -0.23. Let h = -1942/9 + 216. Which is the second biggest value? (a) s (b) 2/23 (c) h
a
Let f = -54/29 + 133/87. What is the fourth smallest value in -0.01, -2, 2/11, f?
2/11
Suppose -101*z = -99*z + 30. Let l be (-35)/z - (-3)/(-9) - -2. Which is the fourth smallest value? (a) -1/4 (b) l (c) 0.2 (d) -2/11
b
Let p(u) = -2*u - 14. Let q be p(-6). What is the fourth biggest value in 2.1, q, 3/4, 0?
q
Let x = 8 - 13. What is the second biggest value in 3, -2/9, x, 0.4?
0.4
Let w = -0.59 + 0.99. Let y = -2.69 - -0.29. Let q = w + y. What is the third biggest value in -0.5, q, -4?
-4
Let t = -14 + 9. Let r(u) = 51*u - 4. Let w be r(-3). Let g = w + 2981/19. Which is the biggest value? (a) g (b) 3 (c) t
b
Let x = -1.5 - 1.7. Let k = x + 3.5. What is the third biggest value in -3/10, 1, k?
-3/10
Let c = -11.5 - -11. Let g = -1.5 + c. Let b be 6/10*2/3. What is the second biggest value in g, b, 5?
b
Let g = 0 + -0.4. Let y(p) = 44*p - 44. Let l be y(1). Which is the second biggest value? (a) 1/2 (b) l (c) g
b
Let j = -299.6 - -300. Which is the biggest value? (a) 4 (b) j (c) 21
c
Let a = -0.02 - -0.2. What is the third biggest value in -1/2, 1/10, a?
-1/2
Let z be ((-2)/(-4))/(22/(-4)). Let f = 36173 - 36183. Which is the third biggest value? (a) 1 (b) z (c) 0.4 (d) f
b
Let p = 183 + -184.98. Let t = p - 0.02. What is the second smallest value in t, -2/51, -0.5?
-0.5
Let r = 1.04 - 0.14. Let p = -188.9 + 205. Let s = 16 - p. What is the second smallest value in s, -4, r?
s
Let c = 13 - 9. Let m = c - -4. Let f = m + -3. What is the smallest value in f, 4, -1?
-1
Let g = -238 - -241. Let w = 80 + -1601/20. What is the third smallest value in w, g, -0.5?
g
Let x = 105 - 102. Which is the second biggest value? (a) 0 (b) x (c) 32/35
c
Let k = 377/63 + -50/9. What is the fourth biggest value in -6, k, -2/5, -1/14?
-6
Let h = 1.31 - -65.69. Let x = -66.8 + h. What is the biggest value in x, 8, 0.5?
8
Let t = -9679/9 - -1075. Which is the second biggest value? (a) t (b) 3 (c) 0.5 (d) -4
c
Let g = 383 - 435. Which is the fourth biggest value? (a) 4 (b) -0.4 (c) g (d) -1
c
Suppose -o + 5*j + 72 = 3*j, -3*j = -2*o + 148. Suppose -5*f + o + 10 = 0. Let q = 14 - f. What is the third biggest value in q, 0.2, 2/13?
q
Suppose 6*v + 20 = 2. Let h = -0.2 - -1.2. Let m = h + -1.08. Which is the smallest value? (a) m (b) v (c) 0
b
Let d(m) = -m**2 + 14*m + 20. Let i be d(16). Let k be 5/i - 6/(-24). Which is the second biggest value? (a) k (b) -2/7 (c) 3
a
Let o = -120623 - -13751111/114. Let i = o - 18/19. Let d = i + -7/3. What is the second biggest value in -5, 0.4, d?
d
Let d = 2723 + -2666.05. Let r = -57 + d. What is the second smallest value in 4, r, -1/2, 0.4?
r
Let v = -2.05 + 0.05. Let l = 0.4 + 0.1. Let j = -232 - -232.1. What is the third biggest value in j, l, v?
v
Let p = -3.3 + 2.2. Let i = p + -0.9. Let r = 1.6 + i. What is the second biggest value in r, 0, 0.1?
0
Let o = -0.3 + -0.9. Let v = o - 0. Let z = v - -0.2. Which is the smallest value? (a) 0.2 (b) z (c) 0.4
b
Suppose -a = 5*v + 15, 0 = -6*v + 2*v + 3*a + 7. What is the second smallest value in 6, -0.3, v, -1.5?
-1.5
Let r = 912 + -911. Which is the biggest value? (a) 4/23 (b) 2 (c) 0 (d) r
b
Suppose 7*k + 5*k - 240 = 0. Suppose 0*w = 2*w - 28. Let z be ((-24)/k)/(w/(-5)). What is the third biggest value in 0.2, z, 0?
0
Let x be 68/(-6) - (-429)/39. Which is the second biggest value? (a) -4 (b) 5 (c) x (d) 12
b
Let h = -0.3 + 1.3. Let i = h + -0.8. Let w be 7/(-7) + -7 + (-49)/(-6). What is the second smallest value in i, -1/4, w?
w
Let u = 23.945 + 0.055. Let n = u - 23.5. Which is the biggest value? (a) n (b) 3/5 (c) -5
b
Let h = 149/3 + -49. Let w be 2090/(-1650) - 2/(-3). Which is the third biggest value? (a) -3 (b) w (c) h (d) 1
b
Suppose 5*j - 9 = 6. Let t = -8.36 - -1.66. Let k = t - -7. What is the smallest value in j, 3/4, k?
k
Let n = 54 - -26. Let s = n + -79.7. Which is the biggest value? (a) 0.5 (b) s (c) -4 (d) 3/4
d
Let g = -7 - -4. Suppose 5*z = 5*l - 40 - 10, 0 = 3*l. Which is the fourth biggest value? (a) 3/5 (b) 2 (c) g (d) z
d
Let b = 1.48 + -1.18. What is the second smallest value in 0.02, -5, b?
0.02
Let z = -396 | {
"pile_set_name": "DM Mathematics"
} |
812) + (-1533)/10731).
58
Evaluate (192/1664*-65)/(6/(-112)*(4 - 8)).
-35
1*-5 + (-5760)/(-380) + 12/(-76)
10
(7 - 7876)/61 + 160
31
((-147)/(-5292))/((-10)/(-2)*((-15)/50 - 0))
-1/54
Evaluate (-5 + 1/1)/(((-31921)/(-3151))/233).
-92
What is ((-125)/(-238) - (-1704)/(-1491))*6/21?
-3/17
Calculate (702/(-17820)*-132)/(-2*2/(-10)).
13
Evaluate -937 - -924 - (285/(-27) - 4).
14/9
(-9)/27*(-195)/(-26)*18/(-105)
3/7
Calculate ((1/(2 - (-9 + 14)))/3)/(110/(-462)).
7/15
What is the value of 0 + (-96)/28 - (-51094)/15155?
-2/35
Evaluate 3/(-12)*(-216)/52*(-40)/180.
-3/13
What is the value of (-9)/(-1) - ((-544)/(-152))/((-22)/209)?
43
What is the value of (-10146)/197847 + 9939/234*-2?
-85
What is the value of (17666/(-3212))/((-33)/15)?
5/2
Calculate ((-3)/(-22))/(492/38786) - 13.
-9/4
Calculate -5*(-9)/(-378)*(3/2 + 1617/(-154)).
15/14
What is the value of (-8 - (-5782)/735) + 5313/1710 + -3?
-1/38
(-22)/2 - -3 - (-2282 + 2295)
-21
Calculate -22 + 18 - (-1148)/(-76) - 50/(-475).
-19
Calculate (742 + -798)/((-98)/(-210)).
-120
What is (1334 - 854)*(-4)/(-32)?
60
(-20)/25 - ((-6)/(-4) - 327/120*-12)
-35
Evaluate (944/(-354))/((-4)/18) - (-59)/(-5).
1/5
What is 36/(-390)*(-819)/315?
6/25
(-24 - 36)*40/240
-10
What is the value of (-1)/7*((-27)/12 + (387/(-36) - -11))?
2/7
Evaluate ((40 - 41) + 54/(-4))*6/(-18)*-6.
-29
Calculate 3/(-45) + 656/(-60).
-11
Evaluate (45 - 13603/305)/(126/(-15) - -1).
-2/37
What is 9 + 2590/(-287) + (-25500)/13530?
-21/11
What is ((3 + 1640/(-544))*(-52)/39)/((-2)/(-6))?
1/17
What is 42/48*34 + 50/75*9/(-8)?
29
Calculate (-22)/14 + (-32 - -32)/(-85).
-11/7
(-176)/18 - (7 + (-731)/43)
2/9
What is the value of (-138)/8694*-693 + 180/(-33) + -1?
50/11
5 + ((-3195)/(-150) - 14)*4/(-6)
2/15
Evaluate (34 - (-173 - -112)) + -58.
37
What is the value of 184/(-352) + (-2 - 140/(-55))?
1/44
974/532 + (-3)/(-114)
13/7
109746/(-737) - -150 - (0 - (-263)/(-11))
25
What is (-9)/(-36) + -1 - (150/(-80)*58 + 11)?
97
Evaluate (-2)/90*(-5645 + 5204).
49/5
Evaluate ((-1)/188)/(-25*(-63)/18900).
-3/47
(49/((-7007)/506) - -16) + -12
6/13
(-23)/(4048/165)*(-1)/(5/(-2))
-3/8
What is ((-2872)/400 + 7)/((-9)/(7 + 11/22))?
3/20
(525/65 - 8) + 3192/9880
2/5
What is 65*((-5910)/390 + 16)?
55
Calculate 12/(-19)*5890/620 - -21.
15
Evaluate -7 + 6 - 16 - (334601/(-5576) + 43).
1/136
(23/(-69))/(-332 + 344 - 1098/92)
-46/9
What is 1/(-102)*(140/56*12/5 - 2)?
-2/51
What is ((-36)/(-6) - 7)/((-64)/(-2240))?
-35
What is the value of (221 - 323) + (-17984)/(-176)?
2/11
What is 418/(-1088054)*274 + (-1)/((-38)/(-908)) + 1?
-23
Evaluate (-178)/(-16) - ((-12)/((-12)/29) + -16 + -2).
1/8
Calculate (2/1)/(19 + -23 + 19 + (-6 - -2)).
2/11
((-13 - 6060/(-480)) + 1/8)*(-1 + -355)
89
What is (-1180)/(-2574) + 5695/(-765) + 7?
2/143
What is (-8724)/(-7270)*(-8)/12*190/(-4)?
38
What is (67445/141)/7 + -54?
43/3
-11 + (43 - (-36 + 88)) + ((-1360)/(-14))/4
30/7
What is the value of (-1190)/57375*1545 - (-2)/45?
-32
Calculate (-135)/15*(6 + 0).
-54
What is the value of (-103)/((-9270)/60) + 12/(-21)?
2/21
Evaluate (-276)/1104 + 340/16.
21
What is the value of (2/(-6))/(683/194655)*1?
-95
Calculate (-35)/2275*13*(-85)/2142.
1/126
13 - (37 - 24) - 16/(-208)
1/13
((-82)/(-4) - (19 + (17 - 29)))*-6
-81
What is -78*2*(-1673)/20076?
13
(-81 - -1355)/(-91) + 1524/115 + 2/5
-8/23
What is ((-3780096)/1177)/64 - -48?
-24/11
Evaluate 8/22 + (-110250)/(-3850).
29
Evaluate 19750/(-1000) - 35/(-20).
-18
Calculate (-15 + 4)/(129/(-33) + (-196)/(-17 - 32)).
-121
What is the value of ((-10)/(-1) - 2573/(-31)) + (-364)/26?
79
Evaluate (-2167)/(-1379) + 12/((-252)/201).
-8
267/53 + (-21)/(73458/132)
5
Calculate (-280)/805*-12*(-8)/(-224)*-7.
-24/23
Calculate ((-8)/16)/(173/692).
-2
What is the value of (1*-2 - -1 - 0) + 63412 + -63448?
-37
Evaluate 3555/(-570)*2/(-3) + -196 + 192.
3/19
Evaluate 9*(-32)/(-216)*(-4935)/94.
-70
What is (527/408 - (((-14)/(-4))/7 + 1))*-2?
5/12
Calculate 3 - 21/6 - 22/(-44)*(-95)/(-10).
17/4
What is 10/9*((-1260)/(-60) - (-117)/(-5))?
-8/3
What is the value of (-5)/3 + 2 - ((-1773600)/(-9900) - 179)?
2/11
Evaluate (-5 + -3 - -10) + -49 - 42/7.
-53
Calculate ((-18)/4)/((-127143)/(-3164448)).
-112
-1 + (-145)/(-104) - 22545/(-2672)*30/(-405)
-3/13
(5181/2596 - 2)/((-21)/(-168))
-2/59
(0/(-1) - (-402)/4)/(((-9888)/(-64))/103)
67
((-5)/(250/20))/(44/2805*-9)
17/6
(458 + -455)/((-48)/87 + (-5)/(-10))
-58
Calculate -120 - 147/((-6468)/3344).
-44
Calculate (5 + ((-14)/147)/((-147)/(-8918)))/((-7)/6).
2/3
What is ((-259347)/(-10))/(-319) + 81?
-3/10
Calculate ((-3773)/1078)/((-49)/(-5)).
-5/14
What is (362 - 393) + (-6)/((-72)/276)?
-8
Calculate (89/(10947/(-3526)))/(0 - (-4)/12).
-86
What is the value of 825/351 - 8*(-350)/(-1200)?
2/117
Evaluate 21464/3360 + 8448/(-1320).
-1/84
What is (14824/12208)/(1/(-2))?
-17/7
Calculate ((-7067)/148 - -50)/(45/40).
2
What is (-40600)/(-15225)*((-150)/8 + 0)?
-50
Evaluate (11 - 1794/276)*344/18.
86
What is ((-597)/1592)/(3/(-16)) + 0 + 64/(-18)?
-14/9
Calculate 70/(165/33) + (9 - 20)/(-3 - -2).
25
(10 - 560/(-48))/((-10)/30)
-65
Evaluate ((-39291)/28065)/(1/5).
-7
(-30)/16*(-22568)/16120
21/8
What is 874/30 - (-12 - 2236/258*14/(-10))?
29
Evaluate 702/(-312) - (-1 + (-30)/(-75) - (-5198)/(-3160)).
-2/395
What is (232/6)/(6*(-6)/(-45)*(-2195)/2634)?
-58
What is 7/((-7)/2) + ((-228)/(-11) - (-1017)/3729)?
19
What is (20/(-40) + (-94887)/5434 + 18)*1/(-4)?
-2/209
What is the value of (-2298 + 2300)/((-2)/(-33))?
33
What is the value of 22/28*-32 - (168/378 - (-52)/126)?
-26
(-126)/7 - -16 - (-8)/(-10)
-14/5
Evaluate (5 - (-876)/(-172))/(78/(-13) + 10).
-1/43
What is 3465/(-30)*(-8 + 14 + (-96)/18)?
-77
-21 + -28 + (114 - 128)
-63
Calculate (-4 - 2)/(10/(-42)*732/610).
21
What is the value of (-14080)/(-1984) - (-48)/(-496) - 230/32?
-3/16
What is 2023/(-63) - (-45695)/1235?
44/9
Evaluate 8/(((-2150)/80)/215).
-64
What is the value of (5880/(-10780))/(27/132)*((-3)/(-14) + 0)?
-4/7
What is the value of ((-35)/(-4))/(((-210)/672)/((-1)/4))?
7
741/26 + -30 + 186/80 - (-20)/(-32)
1/5
Calculate (470/8)/((-19)/((-1216)/(-80))).
-47
What is the value of ((-1161)/4257*(-22)/(-2))/(9/(-132) - 0)?
44
Calculate (-686 - -691) + -489*(-3)/(-288).
-3/32
Evaluate 3/(-42)*4 + (-89)/((-5607)/(-288)).
-34/7
(-20)/(0 - (-16)/(-10) - 10820/(-13525))
25
What is (-1139)/34*(975 - 977)?
67
Calculate 22 - ((-774)/(-63))/((-207)/(-322)).
26/9
What is 6*(1 - 2) + ((-75776)/44992)/(2/(-38))?
26
What is (-9556184)/1670592 - (0 + (-3)/(126/4))?
-45/8
(17/2210*39)/(6/(-3) + 76/20)
1/6
What is the value of 84700/(-287980)*(-119)/5?
7
What is the value of (708/64)/(-15*1/(-20)) - (-41 + 53)?
11/4
Calculate (32794/(-4674) + -4 - (-33)/3)/(2/3).
-1/41
Calculate ((-120)/1024)/(3771/5028).
-5/32
Calculate (1*(-1 - -2))/((6/(-8))/(198/(-24))).
11
What is ((-2033)/214 - 1/(-2)) + (-414)/(-48)?
-3/8
((-1071)/(-111384))/((-1)/(-4))
1/26
(99/(-70))/3 + (-4)/(-196)*28
1/10
What is (27/243)/(-4 - (-1314)/243)?
3/38
(-54)/(-441) - (-397860)/(-55860)
-7
Calculate (77 + -113 - (-788)/12)/(4/6 + -1).
-89
73 + (-23622)/127 + 103
-10
Calculate ((-32)/84)/(-26*(-54)/(-117) + 22/3).
4/49
What is ((-1056)/88 + (-1)/(4/(-88)))/((-2)/18)?
-90
What is ((-30)/45)/((-44)/66) - -19?
20
Evaluate ((-394)/(-33) - ((-30)/11 + 24/9)) + 18.
30
Calculate (-15)/(-240)*12 + 1*1639/44.
38
What is the value of (57/(-133))/((-34)/(-7))*(800/48 - 18)?
2/17
Calculate 69/4071 - 85932/(-1829).
47
-32 + ((-345588)/38316 - 2/(-103))
-41
What is the value of 351/(-39) - ((-36015)/(-1500) + -33)?
-1/100
Calculate (-426)/(-9) + 1325/75.
65
What is ((-66)/(-15) - 4)/(3 - 3177/1095) - 4?
1/18
What is the value of (-38)/2 - 846/9216*-208?
3/32
Evaluate (-329)/10 - (28 - (-14059)/(-510) - (-2)/(-6)).
-33
Evaluate (1 + -2)/((-804)/40 - (-20 - -39 - 39)).
10
What is the value of 1767713/82677 - (-5 - -6 - 2)*4/14?
65/3
(-144)/(-2)*(493/174 + 14/(-6))
36
What is the value of -21*(-2)/14 - (36/3 - 1)?
-8
What is the value of (-35508)/807 - -5*3?
-29
What is (0 - (-5 + 2))/(((-144)/(-60))/((-656)/(-20)))?
41
What is 2283/69 - (232/(-506) + (-6876)/(-12606))?
33
Evaluate (-4)/(-2)*522/(-3393).
-4/13
((-33484)/5327)/((-33)/147)
28
0 - (4/(-14)*(-4)/(-8))/(504/(-588))
-1/6
(-5265)/(-189) - 41/(-287)
28
4284/(-918)*(1*6 | {
"pile_set_name": "DM Mathematics"
} |
of 436 and 4142.
218
What is the greatest common factor of 1885 and 145?
145
What is the highest common factor of 27 and 81?
27
Calculate the highest common factor of 3 and 81.
3
Calculate the highest common divisor of 13040 and 16.
16
Calculate the greatest common divisor of 238 and 136.
34
Calculate the highest common factor of 2236 and 572.
52
Calculate the highest common factor of 201 and 5360.
67
What is the highest common factor of 42 and 378?
42
Calculate the highest common divisor of 4611 and 783.
87
Calculate the highest common divisor of 36814 and 632.
158
What is the highest common divisor of 182 and 26?
26
What is the greatest common factor of 456 and 3021?
57
What is the highest common factor of 65803 and 23?
23
What is the highest common factor of 13 and 65?
13
What is the greatest common divisor of 276 and 120?
12
Calculate the highest common divisor of 3 and 75.
3
Calculate the highest common divisor of 295 and 15.
5
What is the highest common divisor of 8558 and 44?
22
Calculate the greatest common divisor of 564 and 423.
141
Calculate the greatest common factor of 30 and 3.
3
What is the greatest common factor of 6 and 48?
6
What is the greatest common factor of 67 and 1?
1
Calculate the highest common divisor of 14 and 58.
2
What is the greatest common divisor of 30 and 490?
10
What is the highest common factor of 15 and 5?
5
What is the highest common divisor of 94 and 141?
47
What is the highest common factor of 22 and 242?
22
Calculate the greatest common divisor of 1211 and 35.
7
What is the highest common factor of 256 and 88832?
256
What is the highest common divisor of 2324 and 224?
28
Calculate the greatest common divisor of 4544 and 704.
64
Calculate the greatest common factor of 10 and 7270.
10
What is the greatest common factor of 320 and 60?
20
Calculate the greatest common divisor of 14 and 10.
2
Calculate the highest common factor of 429 and 39.
39
What is the greatest common factor of 1020 and 318?
6
Calculate the greatest common factor of 22 and 2222.
22
What is the greatest common factor of 275 and 11?
11
Calculate the highest common factor of 16226 and 190.
38
What is the greatest common divisor of 265 and 5?
5
Calculate the greatest common divisor of 6 and 6.
6
What is the highest common factor of 1023 and 99?
33
Calculate the greatest common divisor of 377 and 667.
29
Calculate the greatest common factor of 325 and 65.
65
What is the highest common divisor of 6591 and 26?
13
Calculate the highest common factor of 28 and 32.
4
What is the greatest common factor of 80 and 1080?
40
What is the highest common divisor of 8697 and 39?
39
Calculate the highest common factor of 300 and 1770.
30
What is the highest common factor of 60 and 9?
3
Calculate the highest common divisor of 4 and 2308.
4
Calculate the greatest common factor of 672 and 72.
24
Calculate the highest common factor of 1748 and 988.
76
What is the highest common factor of 171 and 437?
19
Calculate the highest common factor of 16 and 304.
16
What is the highest common divisor of 708 and 12?
12
What is the greatest common divisor of 1044 and 792?
36
What is the greatest common factor of 13 and 767?
13
Calculate the greatest common factor of 3 and 81.
3
What is the highest common divisor of 65 and 2613?
13
Calculate the greatest common factor of 28 and 994.
14
What is the highest common divisor of 790 and 20?
10
Calculate the greatest common factor of 156 and 15236.
52
Calculate the greatest common factor of 2 and 1466.
2
Calculate the greatest common divisor of 2086 and 298.
298
Calculate the greatest common factor of 105 and 175.
35
Calculate the greatest common factor of 370 and 2146.
74
What is the highest common factor of 3 and 8427?
3
What is the greatest common divisor of 1598 and 893?
47
Calculate the greatest common divisor of 112 and 8.
8
What is the highest common factor of 12 and 96?
12
Calculate the highest common factor of 3050 and 175.
25
What is the greatest common divisor of 244 and 732?
244
What is the highest common factor of 2483 and 65?
13
Calculate the highest common divisor of 171 and 893.
19
Calculate the highest common divisor of 252 and 868.
28
What is the highest common factor of 845 and 195?
65
What is the highest common divisor of 18 and 5175?
9
What is the highest common divisor of 860 and 40?
20
What is the highest common factor of 432 and 784?
16
What is the greatest common factor of 55 and 320?
5
Calculate the highest common factor of 297 and 22.
11
Calculate the highest common divisor of 12905 and 145.
145
Calculate the greatest common divisor of 2059 and 174.
29
What is the greatest common divisor of 14 and 8386?
14
What is the highest common factor of 102 and 6?
6
What is the highest common factor of 160 and 512?
32
What is the greatest common factor of 2422 and 154?
14
Calculate the greatest common divisor of 6 and 294.
6
What is the greatest common factor of 10 and 2940?
10
What is the highest common factor of 200 and 104?
8
What is the greatest common divisor of 432 and 108?
108
Calculate the greatest common divisor of 1170 and 54.
18
What is the greatest common factor of 6802 and 1?
1
Calculate the highest common divisor of 162 and 2322.
54
Calculate the greatest common divisor of 318 and 6254.
106
Calculate the greatest common divisor of 80 and 384.
16
Calculate the highest common divisor of 506 and 24.
2
What is the greatest common divisor of 189 and 54?
27
Calculate the highest common divisor of 258 and 215.
43
Calculate the highest common factor of 630 and 70.
70
Calculate the greatest common factor of 58 and 377.
29
Calculate the highest common factor of 12 and 56.
4
What is the greatest common factor of 3146 and 2178?
242
Calculate the greatest common factor of 403 and 155.
31
What is the greatest common divisor of 637 and 13?
13
Calculate the highest common factor of 781 and 3337.
71
Calculate the greatest common divisor of 513 and 216.
27
Calculate the greatest common factor of 1465 and 5.
5
Calculate the greatest common factor of 2104 and 40.
8
Calculate the highest common divisor of 4377 and 12.
3
What is the greatest common divisor of 1581 and 15?
3
Calculate the greatest common factor of 139 and 2.
1
Calculate the highest common divisor of 108 and 150.
6
Calculate the highest common divisor of 25 and 120.
5
Calculate the highest common factor of 4608 and 72.
72
What is the highest common factor of 18 and 90?
18
Calculate the greatest common factor of 615 and 30.
15
Calculate the highest common factor of 310 and 6.
2
Calculate the highest common divisor of 168 and 8568.
168
What is the highest common divisor of 14 and 74928?
14
Calculate the highest common divisor of 11772 and 9.
9
Calculate the greatest common factor of 336 and 378.
42
What is the highest common factor of 31 and 713?
31
Calculate the greatest common factor of 153 and 99.
9
What is the greatest common divisor of 135 and 45?
45
Calculate the highest common divisor of 9945 and 1275.
255
What is the greatest common divisor of 15 and 20505?
15
Calculate the highest common factor of 1925 and 280.
35
What is the greatest common divisor of 152 and 2112?
8
Calculate the greatest common factor of 567 and 4131.
81
Calculate the greatest common divisor of 1320 and 4.
4
Calculate the greatest common divisor of 122 and 33062.
122
What is the greatest common divisor of 623 and 10324?
89
Calculate the greatest common divisor of 167 and 24048.
167
What is the greatest common divisor of 2790 and 270?
90
What is the greatest common factor of 77 and 11?
11
What is the greatest common divisor of 26 and 26?
26
What is the highest common factor of 2261 and 357?
119
What is the greatest common divisor of 396 and 72?
36
Calculate the highest common divisor of 33 and 153.
3
Calculate the greatest common factor of 10 and 10.
10
What is the greatest common factor of 143 and 65?
13
What is the greatest common divisor of 11 and 22?
11
Calculate the greatest common divisor of 1121 and 295.
59
What is the greatest common factor of 500 and 140?
20
Calculate the greatest common divisor of 12 and 174.
6
Calculate the highest common factor of 1086 and 12.
6
Calculate the highest common factor of 9087 and 39.
39
What is the greatest common divisor of 27 and 9?
| {
"pile_set_name": "DM Mathematics"
} |
be i(-2). What is the highest common factor of 335 and r?
67
Let d(h) = 6*h - 3. Let x be d(1). Let l be 7 - x - (-4 - 36). Calculate the greatest common divisor of l and 11.
11
Let p(y) = -y. Suppose -5*s = 17 - 2. Let t be p(s). Let n be 4/(-6)*-68*t. Calculate the greatest common factor of 17 and n.
17
Let b(n) = 26*n - 13*n + 10 - 14*n + 5 + n**3. Let h be b(0). What is the greatest common factor of 165 and h?
15
Suppose -3*a + 243 = -3*y, 6*y = -2*a + 2*y + 180. What is the greatest common divisor of 42 and a?
42
Suppose -35 = -2*f + l, -51*f = -49*f - 4*l - 20. Calculate the greatest common factor of f and 260.
20
Let p(u) = 2*u + 19*u**2 + 0*u - 37*u**2 - 7 + 19*u**2. Let s be p(3). Calculate the greatest common divisor of 88 and s.
8
Suppose 0 = 2*o + 2*o - 120. Suppose -2*r - 78 = 4*g - 7*r, 112 = -5*g - r. Let n = o + g. What is the highest common factor of 24 and n?
8
Suppose 0 = x - 18 - 6. Suppose x = -3*s - 18. Let a be s/10*(-8 + 3). Calculate the greatest common divisor of 63 and a.
7
Suppose -7*w + 2*w - 5 = 0, 969 = -4*t - w. Let v be 1/(-6) + t/(-12). What is the highest common factor of 160 and v?
20
Let c = -271 + 648. Calculate the highest common factor of 26 and c.
13
Suppose -3*k = -5*j + k + 36, 5*j = -k + 16. Suppose 5*r - 36*r + 372 = 0. Calculate the highest common factor of r and j.
4
Suppose -6*v + 2*v - 2*x = -20, -6 = -2*v - 3*x. Suppose -4*q = -v*q + 16. Let u = 46 - -26. What is the highest common factor of q and u?
8
Let q be (-2618)/(-16) - -6*16/256. Calculate the highest common divisor of 16 and q.
4
Let q(p) = p**3 - 7*p**2 + 4*p. Let j be q(7). Let o = 78 - 74. What is the greatest common factor of j and o?
4
Let o be -3 + 28/4 + 1. Suppose -4*n - 1414 = -o*k, -5*n + 7 + 13 = 0. What is the highest common factor of 26 and k?
26
Let f be 2/(2/3)*1. Let y be (8/(-20))/((-2)/10). Let p be y/(-1 + 14/12). Calculate the greatest common factor of f and p.
3
Let k be (-28)/(-2) + (-2)/(-2). Suppose -128 = 19*w - 223. What is the greatest common factor of k and w?
5
Let p(n) = n + 13. Let b be p(-4). Suppose 0*h = -h + b. What is the greatest common divisor of h and 36?
9
Let h be 0 + (4/4 - -22). Suppose 4*j + h = 5*j. What is the highest common factor of 69 and j?
23
Let u(x) = -x**2 + x + 20. Let d be u(-5). Let h = 20 + d. Let v = -22 - -72. Calculate the greatest common factor of v and h.
10
Let c = 36 + -18. Let d(h) = 8*h - 12. Let n be d(6). What is the greatest common divisor of n and c?
18
Let l = 28 - 1. Let u = -35 - -37. Suppose u*j + 2*d - 50 = 0, j - 21 = 4*d - 7*d. What is the greatest common factor of l and j?
27
Let l(o) = o**3 + 7*o**2 - 2*o - 27. Let j be l(-8). Let y = j + 105. Let q be -1 + (-3 - -2) + 22. What is the highest common factor of y and q?
10
Suppose 0 = 3*r + i + 39, 0*r - i = -3*r - 33. Let q be 130/50 - (r/5 - -2). What is the greatest common factor of q and 3?
3
Let t be ((-40)/(-3))/((-1)/(-3)). Let d be 29*1 + (71 - 60). What is the highest common divisor of t and d?
40
Suppose 67*g - 80 = 63*g. Suppose -2*p + 2*i = -3*i - 13, 4*p + 2*i = 14. Calculate the highest common factor of g and p.
4
Let d be (-2)/8 + (-34)/(-8). What is the highest common divisor of d and 92?
4
Suppose -2*a + a = -4. Suppose -123*u + 540 = -108*u. What is the greatest common divisor of a and u?
4
Let g(v) = -v**2 - 17*v - 28. Let c be g(-14). Let s be (-2)/3 + (-92)/(-12). What is the highest common divisor of s and c?
7
Suppose -4*g = -13 - 11. Suppose 2*z + 181 = 11. Let y be ((-136)/z)/((-4)/(-90)). What is the highest common divisor of y and g?
6
Let h(m) = 7 - 5 - m - 8 + 39. Let r be h(23). What is the greatest common factor of 20 and r?
10
Suppose -3*p = 12, 5*p = -4*s - s + 350. Calculate the greatest common divisor of s and 2.
2
Suppose -b + 8 = 3*b. Suppose 0 = -5*i + 4*z + 101, b*i = 2*z + 3 + 37. Let f = -60 - -165. Calculate the greatest common factor of f and i.
21
Suppose -p - 68 + 79 = 0. What is the highest common factor of 2 and p?
1
Suppose 3*c - 32 = -4*l, -2*c + 0 + 8 = 0. Let n = -62 + 109. Let o be (n + (1 - 3))*1. What is the greatest common factor of l and o?
5
Let y(t) = -8*t - 64. Let v be y(-8). Let a be 4/6 - (-1)/3. Let x be (57 + v)*a - -3. Calculate the highest common factor of x and 6.
6
Suppose 3*p - 5*b = 83, -p + b + 27 = -0*b. What is the highest common divisor of 1742 and p?
26
Suppose -24*d = -29*d + 990. What is the greatest common divisor of d and 11?
11
Suppose 6*w - w = 4*c + 1330, 5*w - c - 1345 = 0. Calculate the highest common divisor of w and 15.
15
Suppose 4*k + 12 = 5*k. Let s be 1/(4 - 2058/514). Let l = s + 353. What is the greatest common factor of l and k?
12
Let c = 123 + 21. Calculate the highest common factor of c and 108.
36
Let o(q) = 53*q - 60. Let t be o(3). Calculate the greatest common divisor of 11 and t.
11
Let j be (-230)/(-12) - (-5)/(-30). Calculate the greatest common factor of j and 247.
19
Let d(v) = 20*v**2 + v - 2. Suppose 6*u - 5*u = -1. Let g be u/((-2)/(0 + 4)). Let s be d(g). What is the greatest common factor of s and 8?
8
Suppose 0*g = v - 3*g + 48, 5*g - 240 = 5*v. Let x = v - -51. Calculate the greatest common divisor of 3 and x.
3
Let c be 165/(-10)*(-4)/2. Let v be -4 + -4 + 8 + 4. Suppose c = -p + v*p. Calculate the highest common factor of 55 and p.
11
Suppose 0*x + 720 = 2*x. Suppose -w - 9*w + x = 0. Calculate the highest common factor of 24 and w.
12
Suppose 25*d = 27*d - 142. What is the greatest common factor of d and 1?
1
Let k be 6 + (2 - (-2)/1). Suppose -33 = -k*a + 7*a. Suppose -19 = -3*p + a. What is the greatest common factor of p and 10?
10
Let w(h) = 3*h**2 + 4*h + 1. Suppose -11*a + 12*a = -5. Let f be w(a). What is the highest common factor of f and 8?
8
Suppose 6 = 2*p - 74. Calculate the greatest common divisor of p and 8.
8
Suppose -2*q + 53 = 2*k - 177, 565 = 5*k - 5*q. Let x = 130 + -50. Suppose -3*v - t = -5*t - x, 5*v - k = -3*t. What is the greatest common factor of v and 36?
12
Let l(u) = -u**2 + 22*u. Let g be l(16). Let d be (10 - -6)/(5/3 - 1). Calculate the greatest common factor of g and d.
24
Suppose -6 = -0*g - 3*g. Suppose 2*t = 3*t - g. Let i(z) = -12*z - 106. Let j be i(-9). Calculate the greatest common factor of t and j.
2
Let z(r) = 66*r**2 - 7*r - 2. Let j be z(-2). Calculate the highest common divisor of j and 36.
12
Let z(n) = 3*n**2 - 25*n - 108. Let t be z(12). Calculate the greatest common divisor of 32 and t.
8
Suppose -8*k - 9*k = -187. Calculate the highest common divisor of 77 and k.
11
Let i = 10 - -12. Calculate the greatest common factor of i and 33.
11
Suppose -5*m = -z - 7, -z + 3*m + 9 = 10. Let t be -66*2*4/(-6). Calculate the highest common divisor of z and t.
8
Let a(k) = -k**2 + 8*k + 4. Let t be a(6). Let i = 281 - 183. Let q = 210 - i. Calculate the greatest common divisor of q and t.
16
Let y be (72 - -6) + 6 + (1 - 5). What is the greatest common divisor of 464 and y?
16
Suppose 4*z - 5*z = 5*q - 260, -4*z + 208 = 4*q. Let x = q + -28. What is the highest common divisor of 12 and x?
12
Suppose -5*a + a - 90 = -3*m, m + 2*a - 20 = 0. Calculate the greatest common divisor of m and 442.
26
Suppose -4*b + 4 + 16 = 0. Suppose -3*n + b*m + 12 = 0, 0 = -4*n + n - 2*m + 33. What is the highest common divisor of 9 and n?
9
Let a be 12*(374/(-3))/(-17). Calculate the highest common divisor of a and 33.
11
Let l(a) = -a**3 + 12*a**2 + 15*a - 18. Let q be l(13). Suppose -k = -3*k. Suppose 2*f - q = -k*f. What is the highest common divisor of f and 6?
2
Suppose 3 + 8 = -v. Let t = v - -15. Suppose -6*h = -3*h + 5*p - 70, -t*p = 5*h - 134. Calculate the greatest common divisor of 10 and h.
10
Suppose -6*u + 0*u = -150. Calculate the highest common divisor of 425 and u.
25
Suppose -v = -3*v + 6. Suppose -2*y = 2*q - 96, y + v*q - 12 = 36. Calculate the greatest common divisor of 32 and y.
16
Let d(g) = g**2 - 32. Let a be d(12). Calculate the highest common divisor of a and 14.
14
Let s(m) = -m**2 + 13*m + 98. Let j be s(18). Calculate the greatest common factor of 136 and j.
8
Let u(w) = 23*w + 7*w**2 + 39 - 4*w**2 - 4*w**2. Let k be u(20). What is the highest common factor of 9 and k?
9
Let u(m) = 32*m**2 + 189*m - 9. Let i be u(-6). What is the greatest common | {
"pile_set_name": "DM Mathematics"
} |
hat is the remainder when 104 is divided by l?
14
Suppose -5*f = -5*n - 3460 - 3730, -2*n = 5*f - 7183. Calculate the remainder when f is divided by 40.
37
Suppose t = -4*j + 15, -5*j = -2*j - 4*t - 35. Suppose 4*u - 382 = -2*l, j*u + 64 = 5*l - 936. What is the remainder when l is divided by 67?
63
What is the remainder when 4898 is divided by ((-2)/3)/(-2*(-5)/2940*-7)?
26
Suppose -4*k - 586 = 5*g, 5*k - g = 2*g - 714. What is the remainder when (k/(-45))/8 + (-73)/(-5) is divided by 9?
6
Suppose 0 = t + 4*z - 2*z - 7, -8 = 2*z. Let p be (7 + 2)/(5/(-365)) + 0. What is the remainder when (p/(-12))/((-9)/(-12)) is divided by t?
13
Let k be 374/10 - (-42)/70. Let a = 40 - k. Suppose a*v = 7 + 5. What is the remainder when 10 is divided by v?
4
Suppose 4112*w - 4099*w = 975. Let x = 66 + 165. What is the remainder when x is divided by w?
6
Suppose 5*i + 35 + 25 = 0. Let n = -65 + i. Let p = 109 + n. Calculate the remainder when 127 is divided by p.
31
Let o = -21 - -55. Let u(i) = 6*i - 140. Let c be u(19). What is the remainder when c/2*15/(-3) is divided by o?
31
What is the remainder when (78/(-65))/(2/(-45)) is divided by 6 + -3 + -2 - -11?
3
Let r(y) = 17*y**2 - 5*y + 5. Let g be r(6). Calculate the remainder when g/5 + 12/(-30) is divided by (73/511)/(2/420).
27
Suppose 2*s = 11*s - 36. Suppose -156 = -2*t - t + o, 0 = -t + s*o + 63. Calculate the remainder when t is divided by 28.
23
Suppose 3*u + 105 = 8*u. Let r be 7/(u/(-6)) + 0. Calculate the remainder when 18 is divided by (-10)/(-6)*(-1 + r + 6).
3
Let f be 188/14 + (4 - (-62)/(-14)). Let y(v) = v**3 - 13*v**2 + 4*v - 13. Let q be y(f). Let n = q - 32. Calculate the remainder when 31 is divided by n.
3
Let m(v) = -8*v - 1. Let w be m(8). Let l = w + 57. Calculate the remainder when 21 is divided by (-36)/l + ((-30)/4)/(-5).
3
Suppose 0*u + u - 286 = 0. Let o = 2223 - 2165. Calculate the remainder when u is divided by o.
54
Suppose 1424 = u + 1369. Calculate the remainder when u is divided by 26.
3
Suppose -5*d - 45 = 5*u, -5*d - 12 = 8. Let z(b) = -b**3 + b**2 - 9*b - 37. Calculate the remainder when z(u) is divided by 46.
20
What is the remainder when 125 is divided by ((-9039)/3668 + 4/(-14)*1)*-12?
26
Calculate the remainder when 2679 is divided by -1*5 + 48/(-14 + 26) + 6.
4
Suppose -4*n - s + 118 = 0, 2*n + 2*s = 5*n - 83. Suppose 227*i - 228*i = -4*x + 320, 0 = -4*x - i + 328. Calculate the remainder when x is divided by n.
23
Suppose 1626 = 42*l - 6564. What is the remainder when l is divided by 111?
84
Let o be 134 - (0/(-2))/(-4). Let q = -109 + o. Calculate the remainder when 222 is divided by q.
22
Suppose 3*d + 856 = 5*v, 13*v - 10*v + 5*d - 534 = 0. Calculate the remainder when v is divided by 43.
1
Let s be (15 - 9)*4/(-6). Let b = 30 - -5. What is the remainder when b is divided by (-63)/54*-15 - 6/s?
16
Let a(g) = -26*g**2 - 4*g + 13. Let u(f) = -26*f**2 - 3*f + 15. Let p(n) = -7*a(n) + 6*u(n). Calculate the remainder when p(-1) is divided by 5.
0
Suppose 4*r = -5*c + 18830, 4069 = -5*c + 4*r + 22899. What is the remainder when c is divided by 12?
10
Suppose -31 = 23*h - 146. Let b(n) = n**2 - 3*n + 11. Calculate the remainder when 62 is divided by b(h).
20
Suppose -3*t - 47 + 92 = i, -i - 4*t + 43 = 0. Suppose 357 + i = 24*j. Suppose -3*l - 248 = -7*l. What is the remainder when l is divided by j?
11
Let c(j) = j**3 - j**2 - 11*j - 3. Let w be c(4). Let i be (12*w/20)/((-2)/10). What is the remainder when 44 is divided by (-30)/(-2*i/(-3))?
14
Suppose 9*d - 60 = -6. Calculate the remainder when 700 is divided by d.
4
Suppose 10004 = 25*i - 14271. Calculate the remainder when i is divided by 48.
11
Suppose 41 = 5*m - 2*b - 208, -240 = -5*m + 5*b. Calculate the remainder when 1883 is divided by m.
47
Calculate the remainder when 4/(-10)*(-1 + 6) - (-945 + 1) is divided by 45.
42
What is the remainder when 4360 is divided by -147*(-5)/15*3*(-5)/(-15)?
48
Let o(s) = -4*s - 4. Let w be o(-1). Suppose -5*t + 519 = 3*b - 4*b, w = t + 3*b - 91. Calculate the remainder when t is divided by 55.
48
Let l be 30/4*(-8)/(-12). Suppose -g + 5 = -9*a + 10*a, l*g = -4*a + 20. Suppose g = 2*y - 9*y + 42. What is the remainder when 11 is divided by y?
5
Let v = 5737 + -3232. What is the remainder when v is divided by 76?
73
Let d = -35792 - -36735. What is the remainder when d is divided by (-444)/(-30) + 2/10?
13
Suppose -249*m + 253*m - 6528 = 0. Calculate the remainder when m is divided by 17.
0
Let f = -45 + 44. Suppose -4*u + 60 = 4*v, 2*u + 3*u = -4*v + 70. What is the remainder when u is divided by (10 + f)*6/9?
4
Let a(v) = -35*v**3 + v. Let u = 4 + 20. Let o be 6/4 - 60/u. What is the remainder when 99 is divided by a(o)?
31
Let r(k) = 3*k + 7. Let g be r(-1). Suppose 0 = 3*h - 4*m - 84, 9*h - 4*m - 140 = g*h. Let f = h + -1. Calculate the remainder when f is divided by 5.
2
Let w = 24 + 102. Suppose 5*o - w = -o. What is the remainder when 65 is divided by o?
2
Calculate the remainder when (-2413465)/(-492) - 5/(-4) - (-2)/(-3) is divided by 23.
7
What is the remainder when 314 is divided by 87 - (13 - (0 + 28))?
8
Let s be (-4 - -10) + (4 - 6). Suppose 2*g - 4*n - 80 = 0, s*n + 122 = -0*g + 3*g. What is the remainder when 6/36 + (-995)/(-6) is divided by g?
40
Let r be 24/2*(-4)/(-15 + 3). Suppose r*d - 23 = v, -3 = -4*v + 1. Suppose 0 = d*w - 7*w + 13. What is the remainder when 35 is divided by w?
9
Suppose -17*j = -0*j - 5049. Let b = 331 - j. Calculate the remainder when 121 is divided by b.
19
What is the remainder when 3/(-5)*100/(110/(-11)) - -174 is divided by 14?
12
Let b be 1*(-9)/(-4)*60. Suppose b*x = 136*x - 76. Calculate the remainder when x is divided by 7.
6
Let i = 198 - 49. What is the remainder when i is divided by 41?
26
Suppose -3*v + 8*v - 55 = 0. Suppose -v*k = -73 + 18. Suppose -4*h + 83 - 20 = k*x, -2*h + 4*x = -38. Calculate the remainder when 30 is divided by h.
13
Suppose -2*p - 2*p + 57 = r, -3*p + 144 = 3*r. Suppose -r = -2*u + 4*n + 23, -3*n = -4*u + 126. Calculate the remainder when 117 is divided by u.
27
Let h = -5149 + 5168. Suppose 180 - 40 = 4*b. What is the remainder when b is divided by h?
16
Let y be (4 + 24/(-5))*-5. Suppose -3*t + d = -4, 0 = -y*d - 3 - 1. Calculate the remainder when 69 is divided by (3 - -5)*t*3.
21
Let w(o) = -36*o**3 - o**2 - 19*o - 17. Let u be w(-1). Let s = -3 - -14. Let f = u - s. What is the remainder when 100 is divided by f?
22
Let j(f) = f**3 - 12*f**2 + 34*f + 23. Let z = 97 - 92. What is the remainder when 483 is divided by j(z)?
15
Let j = 19354 - 19129. What is the remainder when j is divided by (2/(-5))/((-1)/95)?
35
Let l(b) = b**2 + 5*b - 4. Let i be l(-6). Suppose i*f = v - 12, -f + 14 + 7 = v. Calculate the remainder when v is divided by 4.
2
Let u(l) = -l + 21. Let v = 72 - 81. Let t be u(v). What is the remainder when (-5)/t - 326/(-12) is divided by 15?
12
Let h = 28898 + -28855. Calculate the remainder when h is divided by 20.
3
Let t(h) be the second derivative of 0 + 33*h - 3/2*h**2 + 2/3*h**3 + 1/12*h**4. What is the remainder when t(-8) is divided by 4?
1
Let q be (300 + 0)*(15 - 22). What is the remainder when ((-10)/(-6))/((-100)/q) is divided by 23?
12
Let f = 234 + -118. Calculate the remainder when f is divided by (-1)/7 - 4720/(-112).
32
Let h(q) be the first derivative of 3*q**2/2 + 20*q + 18. Let j(v) = 7*v + 39. Let l(c) = 5*h(c) - 3*j(c). Calculate the remainder when 51 is divided by l(-5).
12
Suppose -5*f - 4*b = -45, -5*f + 7 + 38 = 5*b. Suppose -4*u + f = -127. What is the remainder when u is divided by 12?
10
Suppose h + x - 8 - 10 = 0, -3*h - 5*x = -50. Suppose -2*z = 36 - 12. What is the remainder when h is divided by (-11)/3*(9 + z)?
9
Let m = 28068 + -27669. Calculate the remainder when m is divided by 15.
9
Let i(t) = -1 + t**2 + 3*t - 7*t - 4 + 0. Let u be i(5). Let l(o) = o**2 + 14. What is the remainder when l(u) is divided by 8?
6
Let b(q) = -11*q - 1559. Calculate the remainder when 2603 is divided by b(-147).
51
Let g(y) = -6*y**3 + 2*y**2 - 38*y - 142. Calculate the remainder when g(-4) is divided by 420.
6
Let r = -664 + 675. Suppose -2*y - 2*c = -7*y + 60, 5*c - 25 = 0. Let j = 34 - y. What is the remainder when j is divided by r?
9
Calculate the remaind | {
"pile_set_name": "DM Mathematics"
} |
(a) g (b) -3/8 (c) 2/7
a
Let g = -6 + -4. Let j be 91/105 - (-2)/g. Which is the closest to -0.1? (a) 4 (b) j (c) 5
b
Let w = 0.2 + 0.1. Let k = 111 + -110. Which is the nearest to k? (a) 2/3 (b) w (c) 2
a
Let y be -2 + (-2)/5 - -2. Let h be (-2)/10*10/8. What is the nearest to 2/7 in 2/3, y, h?
2/3
Let p(l) = 3*l**2 - 16*l - 13. Let d be p(6). What is the closest to d in -0.3, -4, -5?
-0.3
Let a = -27 + 26.5. What is the closest to -1/4 in a, -0.4, -0.8?
-0.4
Let p be (1 - 2 - 9/12) + 1. What is the nearest to -2/3 in 0.4, p, 0.2?
p
Suppose 2*z = 3*n + 383, 3*n + 197 = z - 185. Let q = n + 633/5. Let k = -3.2 - -3. Which is the closest to 1/2? (a) -2/7 (b) k (c) q
b
Let s(h) = -3*h + 20. Let j be s(5). Which is the closest to -1/3? (a) j (b) 2/3 (c) 2/11
c
Let z = 3 - 2.9. Let s = 300 - 4498/15. Let q(n) = 3*n - 35. Let v be q(13). Which is the closest to -1? (a) v (b) z (c) s
b
Let n = -0.7 - -10.7. Let i = n - 8. What is the closest to 0.2 in -1, i, 0.5?
0.5
Suppose -5*t + 5*h = 25, -h - 3 = t - 0. Let w = -0.4 - 2.6. Which is the nearest to 1/3? (a) w (b) 4 (c) t
a
Suppose 6 = r - 4*r. Let h be 20/(-11) + 2/(-11). Let v be (-1)/h + (-3)/3. Which is the closest to 1? (a) 0 (b) r (c) v
a
Let y be (-5)/4 + (-1 - -3). Suppose 16*r + 6 = 14*r. What is the closest to 0 in 4, y, r?
y
Let j = -0.12 - -0.14. Which is the closest to j? (a) -1 (b) 3/4 (c) 4
b
Suppose h = 3*u, -5*h - 4*u = -3*u. Let l(r) = r + 9. Let x be l(-6). Suppose -2*v = x*v - 5. Which is the nearest to 0? (a) h (b) v (c) -3
a
Let q = -0.309 - -0.109. Which is the closest to 2/3? (a) q (b) -1 (c) 1
c
Let k = -3 - -1.6. Let q = 0.6 - k. Let r = 9 - 6. Which is the closest to q? (a) r (b) -4 (c) -1/4
a
Let a = 51 - 50.6. What is the nearest to a in -0.3, -1/2, -0.2?
-0.2
Let o = -6.9 + 13.9. Which is the nearest to -0.4? (a) 1/7 (b) 0.3 (c) o
a
Let p be (-4)/(2/1)*2. Let k be (p/6)/((-4)/(-6)). Let j = 1 - 1.5. Which is the closest to k? (a) 1/3 (b) 4 (c) j
c
Let w = 0.1 + 0.2. Let h = -1.9 - 0. Let j = h + 1.9. What is the nearest to j in w, 4, -2?
w
Let o = 9.1 + -9. Let l be (-40)/(-15)*(-2)/(-12). Which is the closest to o? (a) 0.4 (b) 0.1 (c) l
b
Let t = 0 + 0. Suppose 0 = -2*r + 3*z - 13, 2*z = r + 5 + 2. Let m be (-17)/r - 8/20. Which is the nearest to t? (a) -0.2 (b) -1 (c) m
a
Let m = 0.05 + -0.05. Which is the closest to m? (a) -4/3 (b) 2/5 (c) 1
b
Let t = 28 - 33. Which is the nearest to 1/3? (a) -4/5 (b) -2/3 (c) t
b
Let f = -159 - -155. What is the nearest to 0.1 in -2, 1, f?
1
Suppose 3*t + 2 = -0*t - z, 22 = -5*t + 3*z. Let f(d) = 4*d + 48. Let u be f(-13). Which is the nearest to 1/3? (a) t (b) u (c) 4
a
Let j(b) = -b**2 + 4*b - 2. Let p be j(6). Let r be 39/p*348/(-9). Let k = 108 - r. What is the closest to 0 in k, -0.2, -0.3?
-0.2
Let l be 219/9 + (-2)/6. Let s = 74/3 - l. Which is the nearest to s? (a) 0 (b) 2 (c) 2/3
c
Let l be ((-3)/(-9))/(10/(-4)). Which is the nearest to 0? (a) 1/3 (b) -1 (c) l
c
Let y = -0.06 + 1.06. Let q be (-10)/15*6/32. Which is the nearest to y? (a) 0.5 (b) -3/7 (c) q
a
Let x = 0 - -0.4. Let t = -5 + -4. Let z be ((-4)/69)/((-6)/t). Which is the closest to -1/2? (a) -1/2 (b) x (c) z
a
Let y be ((-2)/6)/(1/3). Let n be (0/(-1) + -1)*y. Let i be 4/(32/(-14)) + 2. What is the nearest to n in 1/2, i, -0.3?
1/2
Let m be (9/12)/((-180)/32). What is the closest to 0 in 1/6, m, -1?
m
Let w(h) be the second derivative of h**4/12 + 7*h**3/3 - 5*h**2/2 + 5*h. Let u be w(-14). What is the closest to -3 in u, 0.5, 5/3?
u
Let d = -3.07 + 0.07. Let h = -19/108 + -2/27. Which is the nearest to 0.1? (a) 1 (b) h (c) d
b
Let v = 1 - 1.5. Which is the closest to 0? (a) -0.1 (b) 1/4 (c) v
a
Let q = 5 + -13. Let a = 11 + q. Suppose 0 = -2*v - 8 + 10. What is the nearest to v in -5, 2, a?
2
Let c = 29 + -31. What is the nearest to 0 in c, -0.023, -4?
-0.023
Let x = 2.1 + -2.3. Which is the nearest to -2? (a) -1/2 (b) 0.1 (c) x
a
Suppose 0 = -3*s + 2 + 1, -4*q - 5 = -s. Let o = q + 0. Let d(k) = -k + 4. Let m be d(2). Which is the nearest to o? (a) 1 (b) 0.4 (c) m
b
Let r be (15/20)/(-3 - 0). Suppose 0 = 3*p - 2*m + 5, 4*p = -3*m + 16 - 51. Which is the closest to -1? (a) r (b) 1/5 (c) p
a
Let p = 30.3 + -29. Let i = p + -0.3. Let n = i - 1.4. Which is the closest to -1? (a) n (b) -1/2 (c) 5
b
Let l = 1 + -2. Which is the closest to l? (a) -0.1 (b) -1/3 (c) 2/9
b
Let u = -0.1 + 0.3. Let a(g) = -g**3 - 7*g**2 - 6*g + 1. Let w be a(-6). What is the closest to w in -0.1, -4, u?
u
Let v = 2 - 0. Which is the closest to v? (a) 4 (b) -3 (c) 3
c
Let y = -3.4 - -4. Let j = 1.1 - y. Which is the nearest to 3? (a) j (b) -3 (c) 2/5
a
Let j(v) = v**3 - 4*v**2 + 5*v - 2. Let m be j(3). Let z = 7 - m. Which is the closest to z? (a) 0 (b) 0.4 (c) 0.2
b
Let p be (-3)/15 - 8/10. Let v be (p/5)/(2/6). Let x be (2/(-4))/((-1)/4). Which is the nearest to 0.1? (a) 0.2 (b) x (c) v
a
Let o = 0.2 - -0.8. Let d = o + -4.8. Let k = 4 + d. Which is the closest to 0.2? (a) -1/3 (b) 2 (c) k
c
Let d = -0.08 + -4.92. What is the closest to -1/4 in 1/5, d, -1/3?
-1/3
Let g = 1800/37 + 4877/296. Let r = 65 - g. Which is the closest to 1? (a) 0.1 (b) -5 (c) r
a
Let q = 1 - 1. Let b = 12 + -12.2. Let t = 615/3913 - 1/301. What is the nearest to q in b, t, 4?
t
Let h = -1.2 + -0.8. Let v = 0.2 + -0.5. Let a be (30/(-45))/(0 - 2). What is the nearest to a in v, -3, h?
v
Let d(k) = k**3 + k**2 - k - 4. Let w be d(0). Suppose -2 = -4*v + 2*m, 15 = -0*m - 5*m. Which is the closest to 2/7? (a) v (b) -2 (c) w
a
Let c = -5.5 - -3.5. What is the nearest to -1 in 4, c, 5?
c
Let i = -197/2 + 99. Which is the closest to i? (a) -1 (b) -0.2 (c) -2/7
b
Let k(q) = q**3 - 4*q**2 - 6*q + 4. Let o be k(5). Which is the closest to o? (a) -0.1 (b) 0.4 (c) 0.03
a
Let v = 59 - 65. What is the closest to v in 1/9, -2/9, -1/4?
-1/4
Let g = 9 + -9.06. Let h = 4 - 3.94. Let k = h + g. Which is the closest to k? (a) 0.3 (b) -2 (c) 3/4
a
Let q = -8.4 - -8. Let m = 0.1 + 0. Which is the closest to -2? (a) -3 (b) q (c) m
a
Let l(k) = 12*k - 49. Let q be l(4). Which is the nearest to q? (a) -1/6 (b) 10/7 (c) -1
c
Let f be (4/6)/(1/3). Suppose 0*a - a - f = 0. Let x be 1/3 + a/(-12). What is the closest to x in -0.1, 0.1, 0.4?
0.4
Let k = 0.1 - 0.1. Let w = -6 - -5.9. What is the closest to -1 in k, -0.2, w?
-0.2
Let s = 162 + -162.1. What is the nearest to s in 0.09, 4, -3/8?
0.09
Let z = 20.963 + 0.037. Let o = 26 - z. Let x = -0.4 + 0.2. Which is the closest to x? (a) o (b) -3/2 (c) -0.3
c
Let d = 13/12 + -4/3. Let y = -870.7 - -871. Which is the closest to 0? (a) -4/7 (b) y (c) d
c
Let o = 3 - 0. What is the nearest to 3 in 0.1, o, -3/4?
o
Let o = 5 - 10. Let u = -6 - o. Which is the closest to -0.1? (a) -5 (b) 0 (c) u
b
Suppose -2*n - 3*n = 25. Let v(b) = b + 4. Let u be v(n). Let g be (1 + -2)*4/6. What is the nearest to u in g, 4, -0.3?
g
Let k(p) = p**2 - 3*p + 1. Let d be k(3). Let h(m) = -m**2 + 4*m. Let g be h(3). What is the closest to -3 in g, 2/7, d?
2/7
Let a be (6/(-4) - 0)*32/(-168). What is the closest to a in -0.4, 3, -2/3?
-0.4
Let k = -39 - -40. Which is the closest to k? (a) 0.5 (b) -7 (c) -3
a
Let q = 3 - 2.5. Let x = -2.1 + 2. Let g = x - 0.3. Which is the closest to 0? (a) q (b) 2/21 (c) g
b
Let l = 1.4 - 1.2. Which is the nearest to l? (a) 0 (b) 5 (c) -2/11
a
Let w = 0.152 + 7.148. Let s = -7 + w. What is the closest to -1/2 in s, -3, -2?
s
Let m = 54 - 53.9. Which is the closest to m? (a) 5 (b) 4 (c) -1/5
c
Let t(x) = x**2 - 7*x - 3. Let i be t(8). Let y be i/15 + 42/9. What is the nearest to 1 in y, -0.2, -1?
-0.2
Let n = 1331/9 - 149. Which is the closest to -0.1? (a) 0 (b) n (c) 1/4
a
Let s = 187 - 188. Which is the closest to -2? (a) s (b) 3/2 (c) 2
a
Let o = -2.58 - 0.12. Let i = -3 - o. Which is the closest to -2/5? (a) -0.1 (b) i (c) -1/6
b
Suppose 141*m = 137*m - 12. Let i = -3.2 - 0.8. Which is the nearest to 0? (a) i (b) 3/5 (c) m
b
Let d = -0.025 - 0.395. Let v = d + 0.02. Let w = v + 0. What is the closest to 1/3 in -5, -2/3, w?
w
Let o = -2.5 + 2. Let i = -0.6 + -4.4. Let q = -8 - -12. What is the closest to 1 in q, o, i?
o
| {
"pile_set_name": "DM Mathematics"
} |
240?
6
Let i = -8 - -35. Let k be i/5*15/3. Suppose -53 = -k*y + 26*y. What is the remainder when y is divided by 14?
11
Let d(m) = 262*m - 40. Let n be d(5). Suppose -n = -11*p + 1315. Calculate the remainder when p is divided by 34.
31
Suppose -492 = 9*w + 30. What is the remainder when w/(-4)*(-132)/(-22) is divided by (-20)/(-1) + 1*2?
21
Let v(x) = 5*x**3 - 7*x**2 - 3*x - 33. Let c be v(6). Let u = 874 - c. What is the remainder when u is divided by 39?
19
Suppose -a + i + 435 = -647, 2*a - 2152 = -2*i. What is the remainder when a is divided by 30?
29
Let u = 360 + -305. Suppose -u + 235 = 5*y. Calculate the remainder when 214 is divided by y.
34
Let t be 4 + (-21 - -21)/(3 - 1). Suppose t*w + 8 = 0, -6*w = -5*o - 5*w + 312. Calculate the remainder when o is divided by 13.
10
Let h = 49 - 47. Let w be (25 - 2 - 2)/(1 - h). Let a(i) = 2*i + 50. What is the remainder when 79 is divided by a(w)?
7
Calculate the remainder when -18 + (-5131 - -11)/(-20) is divided by 222.
16
Let l(f) = 26*f + 3583. What is the remainder when 540 is divided by l(-129)?
82
Let u(r) = -r**3 - 16*r**2 - 36*r + 219. What is the remainder when u(-13) is divided by 1/3*(72 - 3)?
19
Suppose 4*a + 3*b - 59 = 63, 0 = 5*a - 5*b - 135. Suppose a - 42 = -y. What is the remainder when 103 is divided by y?
12
Suppose -q + 469 = -3*n, 604 = -4*n - 4*q - 0*q. Let z = n - -160. What is the remainder when 13 is divided by z?
3
Let p = 0 - 17. Let v = p - -31. Suppose -767 = -7*h + n, -11*n + 13*n - 6 = 0. Calculate the remainder when h is divided by v.
12
Let m = 15 - 10. Suppose -s - 2 = -2*w - 4, -4*s - 1 = -m*w. What is the remainder when 2 - s*(-1)/(4/(-30)) is divided by 9?
5
Let n be 5 + (3 - (0 + 5)). Suppose 0 = -5*p - 10, -16 = -n*x + 5*p - 6*p. Let y(m) = 39*m - 9. Calculate the remainder when y(1) is divided by x.
0
Let u = 13579 - 13551. Calculate the remainder when ((-72)/28)/(2/(-84)) is divided by u.
24
Let o(h) = -17*h + 649. What is the remainder when 161 is divided by o(33)?
73
Suppose -5*l + 10 = -25. Suppose -l*g + 4*g + 117 = 0. Suppose 0 = 2*i - 3*c - 245, 7688*i - 7692*i = c - 455. Calculate the remainder when i is divided by g.
37
Let j be (-2)/4*(66 + -3 + 7). Let z = j + 70. Calculate the remainder when 63 is divided by z.
28
What is the remainder when 716 is divided by (-20)/25*(-772 - 113)?
8
Suppose -3*o = 2*w - 3453, -31*w + 33*w = 3*o + 3471. What is the remainder when w is divided by 25?
6
Suppose -7*a + 47 = 19. Suppose -26*s + a*s = -440. What is the remainder when 22 is divided by s?
2
Let q = -6 + 2. Let j be (-195 + -1)/q - -1. Suppose -3*h + 64 = r - 5, -2*r + j = 2*h. What is the remainder when 43 is divided by h?
21
Suppose -2*z = -8, 72*z - 313 = -a + 74*z. What is the remainder when a is divided by 77?
13
Let d = -88 + 91. Suppose -3*j - 12 = 3, 87 = 4*k - d*j. Suppose 0 = -4*u - 2*y + k, -2*u + 0*u + 5*y + 15 = 0. What is the remainder when u is divided by 4?
1
Suppose 3*s - 9*s + 990 = 0. Suppose 9*j = 6*j + s. Let u = -52 + j. Calculate the remainder when u is divided by 3.
0
Suppose -2*c + 10 = 0, -2*r - c = -7*r - 60. Let x(q) = -q - 2. Calculate the remainder when (86/(-6))/(1/(-3)) is divided by x(r).
7
Let y(u) = 30*u**2 + 25*u - u**3 + 7 + 28*u**2 - 92*u**2 + 37*u**2. Calculate the remainder when y(6) is divided by 17.
15
Suppose 25 - 103 = -4*a + 2*r, -2*r = -2*a + 42. Suppose 10*y - 9*y - 102 = -2*j, -y - 153 = -3*j. What is the remainder when j is divided by a?
15
Suppose -68 = -5*r + 3*r + 4*x, -r = -11*x + 11. Calculate the remainder when 8799 is divided by r.
43
Suppose -z - 759 + 4908 = -2*d, 5*z - 20719 = -3*d. Calculate the remainder when z is divided by 81.
14
Suppose 46288 = 3*m + 5*m. Suppose -2034 = -34*y + m. Calculate the remainder when y is divided by 47.
42
Let t(x) = 9*x - 1. Let y(i) = 10*i - 2. Let h(l) = 4*t(l) - 3*y(l). Let s be h(0). Suppose 6*a = s + 382. What is the remainder when a is divided by 34?
30
Let a(n) = -123*n**2 + n + 1. Let w be a(-1). Suppose 0 = 47*l - 15412 + 4508. Let q = l + w. What is the remainder when q is divided by 28?
25
Let d = 135 - 114. Let h(q) = -201*q. Let c be h(-2). Suppose -5*i = -c - 213. Calculate the remainder when i is divided by d.
18
Suppose 158 = 3*s - 49. Let q = -50 + s. Suppose 22*i - q*i = 24. Calculate the remainder when 46 is divided by i.
6
Let q = -927 + 512. Let o = q - -497. What is the remainder when 244 is divided by o?
80
Let t(c) = -c**3 - 2*c**2 + c. Let w be t(0). Suppose w = 71*p - 68*p - 231. Calculate the remainder when p is divided by 13.
12
Suppose 144*y + 399 = 163*y. Let l(v) = 1 + 7*v - 2*v**3 - 3*v**3 - 4*v - v**2 + 6*v**3. What is the remainder when l(4) is divided by y?
19
Suppose -22*m + 562 = -37 - 17. Calculate the remainder when 531 is divided by m.
27
Let m = 210 - 131. What is the remainder when 250 is divided by m?
13
Let p(h) be the first derivative of 21*h**4/4 + h**3/3 - h**2 + 2*h - 2. Let u be 11 + (-160)/(12 - -4). Calculate the remainder when 131 is divided by p(u).
21
Let g(j) = j**2 + 13*j - 13. Let n be g(-10). Let v = n + 43. Suppose 0 = x + 3, 5*i + v*x - 124 = -2*x. What is the remainder when i is divided by 7?
5
Suppose -5*b + 21890 = i, -8*b + 5*b + 5*i = -13134. What is the remainder when b is divided by 13?
10
Let p = 811 + -445. Let m = p - 348. What is the remainder when 303 is divided by m?
15
Let o = 399 + -236. Let c = o + -155. What is the remainder when 13 is divided by c?
5
Suppose n + 4*i = 349, -4*n + 3*i - 2*i + 1396 = 0. What is the remainder when n is divided by 89?
82
Let o = -194 + 264. Let h = -90 + 54. Let n = h + o. What is the remainder when n is divided by 12?
10
Let g(m) = -m**3 + 27*m**2 - 50*m + 14. Let u be g(25). Suppose -u*w + 184 + 124 = 0. What is the remainder when -3*1 - 30*-3 is divided by w?
21
Suppose 0 = -4*w - 2*v - 410 + 1606, -4*v = w - 285. Calculate the remainder when 616 is divided by w.
14
Let h be 902/12 - 6/36. Suppose 2491*z = 2486*z + h. Calculate the remainder when 29 is divided by z.
14
Let w be (-1)/((22/(-4))/11). Suppose 5*m - 5*l - 55 = -w*l, -3*m + 52 = 2*l. Calculate the remainder when 153 is divided by m.
13
Suppose 1525*l - 157 = 1522*l - 4*q, -q - 165 = -4*l. Calculate the remainder when 5888 is divided by l.
40
Let x = -5644 + 6105. Calculate the remainder when x is divided by 89.
16
Let q be -2*3/12 - 567/(-14). Suppose 0 = -6*w - 4*w + q. Let u = 109 - 105. What is the remainder when w is divided by u?
0
Suppose 5*t - 2*b = 3*b + 45, -3*b = t - 1. Let h(n) = n**2 + 11*n + 3. Let i be h(-13). Calculate the remainder when i - ((-7 - -11) + -6) is divided by t.
3
Suppose -10 = 4*m - 9*m. Let p be m + (-6)/9 - 2/6. Calculate the remainder when -1*((-4)/(-2) + -42) - p is divided by 21.
18
Suppose 0 = -16*r - 8*r + 9*r + 11940. Calculate the remainder when r is divided by 261.
13
Let v(h) = -h**3 - 11*h**2 - 13*h - 18. Let g = -37 - -27. Let j be v(g). Suppose -j*d = -14*d + 44. What is the remainder when 41 is divided by d?
19
Let c be -1 - -7 - (-6 + 2). Suppose 11*x - c*x - 6 = 0. Suppose x*n + 5*y = 2*n + 12, 2*n - 3*y - 28 = 0. Calculate the remainder when n is divided by 3.
2
Suppose -5*o - 4*z - 59 + 19 = 0, 3*o + 4*z = -16. Let t(h) = 2*h**2 + h - 62. What is the remainder when t(o) is divided by 54?
52
Suppose 5*o - 3*t - 113 = 0, 4*o + 3*t = -0*o + 85. Suppose 4*b + 3*h - 23 = 0, -5*h - 32 + 17 = 0. What is the remainder when o is divided by b?
6
Let v(j) = -j**2 + 3*j + 5. Let w = 22 + -19. Suppose -3*a - 3*f + 96 = 0, 4*a - w*f - f = 88. Calculate the remainder when a is divided by v(0).
2
Suppose 5*x + 7 = -2*x. Let m be 2 - (-2 - x)*69. Let f = m + -54. What is the remainder when 83 is divided by f?
15
Let b(x) = -266*x**3 + x**2 + x + 1. Let j be b(-1). Let n = -69 + j. Calculate the remainder when n is divided by 50.
48
Suppose -19*z - 67981 = -69102. Calculate the remainder when 378 is divided by z.
24
Suppose -2*w + 3*k = -45, 0 = 5*w - 2*k - 136 - 4. Let j = -15 + w. What is the remainder when 24 is divided by j?
9
Let x(m) = m + 4. What is the remainder when (-5)/(-12) + (-4)/6 - 3427/(-92) is divided by x(6)?
7
Suppose 5*d - 27 = 58. Suppose -d*u = -38*u + 1722. What is the remainder when u is divided by 22?
16
Suppose 7 = r - 2*x - 3* | {
"pile_set_name": "DM Mathematics"
} |
**4/6 - s**3/3 - s**2/2 = 0. Calculate s.
-1, 0, 3
Factor q**5/4 - 21*q**4/4 + 69*q**3/2 - 56*q**2 - 96*q.
q*(q - 8)**2*(q - 6)*(q + 1)/4
What is x in x**2/3 - 26*x/3 - 407/3 = 0?
-11, 37
Factor 4*w**3 - 668*w**2 + 2620*w - 1956.
4*(w - 163)*(w - 3)*(w - 1)
What is u in 6*u**3 + 159*u**2 - 429*u + 174 = 0?
-29, 1/2, 2
Let 50*c**3 + 155*c**2 + 115*c + 10 = 0. What is c?
-2, -1, -1/10
Let -5*z**3 + 65*z**2 + 5*z - 65 = 0. Calculate z.
-1, 1, 13
Factor -2*l**2/5 - 24*l/5 - 22/5.
-2*(l + 1)*(l + 11)/5
Factor 3*f**3/4 + 45*f**2 - 1161*f/4 + 891/2.
3*(f - 3)**2*(f + 66)/4
Factor -z**4/3 - 152*z**3/3 - 2888*z**2 - 219488*z/3 - 2085136/3.
-(z + 38)**4/3
Factor 4*d**5 - 8*d**3 + 4*d.
4*d*(d - 1)**2*(d + 1)**2
Factor -s**2/4 - 3*s/2 - 2.
-(s + 2)*(s + 4)/4
Factor 87880*h**5 + 50700*h**4 + 9750*h**3 + 625*h**2.
5*h**2*(26*h + 5)**3
Solve -2048*i**4 - 155904*i**3 - 173664*i**2 - 64908*i - 8100 = 0.
-75, -3/8
Factor -q**2/5 - 14024*q/5 - 49168144/5.
-(q + 7012)**2/5
Let -2*j**3 - 84*j**2 + 110*j + 1032 = 0. What is j?
-43, -3, 4
Solve -4*r**3 + 52*r**2 + 1200*r = 0.
-12, 0, 25
Determine r so that 2*r**2/5 - 174*r/5 = 0.
0, 87
Suppose 2*h**2/5 + 172*h/5 + 3698/5 = 0. What is h?
-43
Suppose -56*x**2 - 1044*x - 648 = 0. Calculate x.
-18, -9/14
Find c such that -c**5/4 + c**4 + 3*c**3/2 - c**2 - 5*c/4 = 0.
-1, 0, 1, 5
Let f**2 - 16*f + 64 = 0. Calculate f.
8
Factor -2*p**4/3 - 112*p**3/3 - 640*p**2 - 13312*p/3 - 32768/3.
-2*(p + 8)**3*(p + 32)/3
Factor 2*b**3 - 6*b**2 - 12*b + 16.
2*(b - 4)*(b - 1)*(b + 2)
Factor -103*b**3/4 + 99*b**2/4 + b.
-b*(b - 1)*(103*b + 4)/4
Solve -j**5/4 - 3*j**4/4 + 13*j**3/2 + 9*j**2 - 22*j - 24 = 0 for j.
-6, -2, -1, 2, 4
Factor -w**3/5 + 94*w**2/5 + 389*w/5 + 294/5.
-(w - 98)*(w + 1)*(w + 3)/5
Solve 15*s**4 + 1221*s**3 - 3354*s**2 - 6576*s - 2016 = 0.
-84, -1, -2/5, 4
Determine l, given that -l**5/7 + 2*l**4 - 43*l**3/7 + 30*l**2/7 = 0.
0, 1, 3, 10
Factor -g**2 + 182*g - 537.
-(g - 179)*(g - 3)
Factor -2*z**2/15 - 3796*z/15.
-2*z*(z + 1898)/15
Find g, given that -2*g**3/3 + 2*g**2/3 + 22*g + 42 = 0.
-3, 7
Find x, given that 25*x**2 + 20*x - 5 = 0.
-1, 1/5
Find b, given that -4*b**3/3 + 1164*b**2 - 253460*b - 763876/3 = 0.
-1, 437
Factor -3*j**4/2 - 15*j**3/2 - 12*j**2 - 6*j.
-3*j*(j + 1)*(j + 2)**2/2
Factor c**4/4 + 2*c**3 - 33*c**2/4 + c + 11.
(c - 2)**2*(c + 1)*(c + 11)/4
Let 2*y**4/3 - 152*y**3/3 + 1100*y**2 - 15400*y/3 + 12250/3 = 0. Calculate y.
1, 5, 35
Factor w**2/3 - 247*w/3 - 248/3.
(w - 248)*(w + 1)/3
Suppose -2*o**3/9 - 24*o**2 - 648*o = 0. What is o?
-54, 0
Factor 5*w**4 - 20*w**3 - 15*w**2 + 70*w - 40.
5*(w - 4)*(w - 1)**2*(w + 2)
Determine g, given that -65*g**5/9 - 289*g**4/9 + 3166*g**3/9 - 4276*g**2/9 + 1624*g/9 - 160/9 = 0.
-10, 2/13, 2/5, 1, 4
Factor 4*k**3 + 3984*k**2 + 7956*k + 3976.
4*(k + 1)**2*(k + 994)
Suppose -2*z**4 + 80*z**3 + 84*z**2 - 80*z - 82 = 0. Calculate z.
-1, 1, 41
Find b such that 28*b**3 + 104*b**2 + 52*b - 24 = 0.
-3, -1, 2/7
Let -4*k**5 - 3266*k**4 - 1632*k**3 = 0. What is k?
-816, -1/2, 0
Solve 3*l**2 + 171*l - 540 = 0 for l.
-60, 3
What is a in a**2 - 138*a + 137 = 0?
1, 137
Factor -2*k**3/11 + 6*k**2/11 + 18*k/11 + 10/11.
-2*(k - 5)*(k + 1)**2/11
Factor -15*t**4 - 55*t**3 - 40*t**2 + 20*t.
-5*t*(t + 2)**2*(3*t - 1)
Solve -2*z**5 + 78*z**4 - 1044*z**3 + 5724*z**2 - 13770*z + 12150 = 0 for z.
3, 15
Suppose 2*r**3/9 + 16*r**2/3 + 130*r/9 + 28/3 = 0. Calculate r.
-21, -2, -1
Find u, given that u**3 + 8*u**2 + 17*u + 10 = 0.
-5, -2, -1
Factor -5*o**4/6 - 20*o**3 - 55*o**2 - 160*o/3 - 35/2.
-5*(o + 1)**3*(o + 21)/6
Determine p so that -10*p**2 - 64*p - 24 = 0.
-6, -2/5
Find o such that 56*o**5/9 + 278*o**4/9 - 14*o**3/9 - 20*o**2/9 = 0.
-5, -1/4, 0, 2/7
Solve 4*s**5/3 - 14*s**4 + 172*s**3/3 - 114*s**2 + 328*s/3 - 40 = 0 for s.
1, 2, 5/2, 3
Let q**5/3 + 5*q**4 + 67*q**3/3 + 43*q**2 + 112*q/3 + 12 = 0. Calculate q.
-9, -2, -1
Factor -o**2/3 + 5*o - 14/3.
-(o - 14)*(o - 1)/3
Suppose -4*c**2 - 112*c + 116 = 0. What is c?
-29, 1
Solve 4*j**2 + 756*j - 760 = 0 for j.
-190, 1
Determine y so that y**2/6 - 22*y/3 - 15/2 = 0.
-1, 45
Suppose 2*i**2/7 + 76*i/7 - 78/7 = 0. Calculate i.
-39, 1
Factor -4*s**2 - 4*s + 8.
-4*(s - 1)*(s + 2)
Suppose g**2/2 + 97*g/2 + 315 = 0. Calculate g.
-90, -7
Factor -3*i**2/8 - 6603*i/2 - 14533203/2.
-3*(i + 4402)**2/8
Let 12*j**2 + 16*j - 28 = 0. Calculate j.
-7/3, 1
Factor 5*p**2 + 590*p.
5*p*(p + 118)
Factor 3*t**2 - 4776*t + 1900848.
3*(t - 796)**2
Suppose -2*k**5/5 - 4*k**4/5 + 14*k**3/5 + 16*k**2/5 - 24*k/5 = 0. Calculate k.
-3, -2, 0, 1, 2
Let 2*a**3 + 18*a**2 + 48*a + 40 = 0. What is a?
-5, -2
Determine t so that -3*t**5/5 + 66*t**4/5 - 411*t**3/5 + 156*t**2 = 0.
0, 4, 5, 13
What is l in -5*l**5 + 5*l**4 + 100*l**3 + 80*l**2 - 320*l - 400 = 0?
-2, 2, 5
Determine f, given that -4*f**5 + 44*f**4 - 104*f**3 - 104*f**2 + 300*f + 252 = 0.
-1, 3, 7
Factor 2*c**2/9 - 16*c/3 + 88/9.
2*(c - 22)*(c - 2)/9
Factor -2*d**2/5 + 26*d/5 - 12.
-2*(d - 10)*(d - 3)/5
Factor -y**4/8 + 13*y**3/8 - 57*y**2/8 + 95*y/8 - 25/4.
-(y - 5)**2*(y - 2)*(y - 1)/8
Suppose -4*s**5 + 4*s**4 + 28*s**3 - 52*s**2 + 24*s = 0. Calculate s.
-3, 0, 1, 2
Let 324*v**3 + 792*v**2 + 304*v + 32 = 0. Calculate v.
-2, -2/9
Factor -2*x**3 - 78*x**2 - 76*x.
-2*x*(x + 1)*(x + 38)
Let -2*q**5/9 - 104*q**4/9 - 562*q**3/3 - 8360*q**2/9 - 6776*q/9 = 0. Calculate q.
-22, -7, -1, 0
Factor 2*u**4/9 + 4*u**3/9 - 2*u**2/9 - 4*u/9.
2*u*(u - 1)*(u + 1)*(u + 2)/9
Factor -5*o**2 + 110*o + 240.
-5*(o - 24)*(o + 2)
Suppose 2*u**3/3 - 3844*u**2/3 + 1843192*u/3 + 3701776/3 = 0. Calculate u.
-2, 962
Find l such that -3*l**5 + 27*l**4 - 24*l**3 = 0.
0, 1, 8
Suppose -3*w**3 - 24*w**2 + 3*w + 24 = 0. What is w?
-8, -1, 1
Factor -2*g**4 + 6*g**3 + 56*g**2 - 120*g.
-2*g*(g - 6)*(g - 2)*(g + 5)
Find l such that -l**3 + 164*l**2 + 165*l = 0.
-1, 0, 165
Find a, given that 3*a**3 - 51*a**2 + 198*a = 0.
0, 6, 11
Determine a so that a**4/4 + a**3/4 - a**2/4 - a/4 = 0.
-1, 0, 1
Factor -a**5 + 9*a**4 + a**3 - 9*a**2.
-a**2*(a - 9)*(a - 1)*(a + 1)
Factor -2*s**2/7 + 4*s/7 + 96/7.
-2*(s - 8)*(s + 6)/7
Solve 4*k**2/9 - 704*k/9 - 3620/9 = 0 for k.
-5, 181
Find c, given that c**3/2 - 289*c**2/2 + 10512*c - 10368 = 0.
1, 144
Factor -v**2/2 + 9*v + 319/2.
-(v - 29)*(v + 11)/2
Factor 3*d**5/4 - 63*d**4/4 + 207*d**3/2 - 447*d**2/2 + 783*d/4 - 243/4.
3*(d - 9)**2*(d - 1)**3/4
Factor -5*v**3 - 15775*v**2 - 12450415*v - 12434645.
-5*(v + 1)*(v + 1577)**2
Factor -3*k**2/5 + 3*k/5 + 36/5.
-3*(k - 4)*(k + 3)/5
Factor -a**4/4 - 19*a**3/4 - 4*a**2 + 9*a.
-a*(a - 1)*(a + 2)*(a + 18)/4
Determine g so that -g**4/2 - 17*g**3 - 123*g**2/2 - 45*g = 0.
-30, -3, -1, 0
Solve -5*t**2 + 865*t - 860 = 0.
1, 172
Factor 2*i**2/7 + 38*i/7 + 68/7.
2*(i + 2)*(i + 17)/7
Suppose 3*g**5/5 - 33*g**4/5 - 168*g**3/5 + 1308*g**2/5 + 1248*g + 960 = 0. Calculate g.
-4, -1, 10
Determine q, given that -q**5 - 186*q**4 - 8828*q**3 - 16184*q**2 + 35328*q + 67712 = 0.
-92, -2, 2
Find s, given that -s**4/10 + 22*s**3/5 + 9*s**2/2 = 0.
-1, 0, 45
Solve f**5/8 - 17*f**4/8 - 417*f**3/8 + 6821*f**2/8 + 1805*f/2 = 0 for f.
-20, -1, 0, 19
Factor 2*w**4 + 26*w**3 + 72*w**2.
2*w**2*(w + 4)*(w + 9)
Let 2*f**2 + 90*f + 88 = 0. Calculate f.
-44, -1
Factor -y**2/5 + 459*y/5.
-y*(y - 459)/5
Factor 6*j**2 - 6*j + 4/3.
2*(3*j - 2)*(3*j - 1)/3
Factor -4*r**2 + 828*r.
-4*r*(r - 207)
Factor m**3/2 - 2*m**2 - 40*m - 96.
(m - 12)*(m + 4)**2/2
Factor 3*f**4 - 798*f**3 + 70488*f**2 - 2043618*f - 2114907.
3*(f - 89)**3*(f + 1)
Let s**3 - 37*s**2/5 - 17*s + 117/5 = 0. What is s?
-13/5, 1, 9
Factor -h**2/5 + 478*h/5 + 1443/5.
-(h - 481)*(h + 3)/5
Suppose -4*j**3/3 + 53*j**2 + 68*j + 41/3 = 0. What is j?
-1, -1/4, 41
What is h in 20*h**3 - 64*h**2 + 48*h = 0?
0, 6/5, 2
Determine o so that -o**3 + o**2 + 2*o = 0.
-1, 0, 2
Factor -m**2/7 - 125*m/7 - 246/7.
-(m + 2)*(m + 123)/7
Factor -82*m**2 + 108*m.
-2*m*(41*m - 54)
Factor 5*c**4 - 120*c**3 + 425*c**2 - 510*c + 200.
5*(c - 20)*(c - 2)*(c - 1)**2
Suppose -u**5/2 + 7*u**4/2 + 11*u**3/2 - 23*u**2/2 - 5*u + 8 = 0. What is u?
-2, -1, 1, 8
Find n, given that 22*n**4/5 - 114*n**3/5 + 108*n**2/5 - 16*n/5 = 0.
0, 2/11, 1, 4
Factor 2*b**3/3 + b**2 - 2*b/3 - 1.
(b - 1)*(b + 1)*(2*b + 3)/3
What is n in -5*n**5 - 25*n**4 - 30*n**3 + 20*n**2 + 40*n = 0?
-2, 0, 1
Determine l so th | {
"pile_set_name": "DM Mathematics"
} |
9*d - 8. What is q(h)?
-18
Let t(d) = d**3 + 16*d**2 + d + 17. Let i be t(-16). Suppose n + i = -2. Let r(k) = -3*k - 3. Determine r(n).
6
Let d be -15 + -19 + -1 + -1. Let i be (-4 - d - -3) + 2. Let m(q) = -q + 3*q + 39 - i. Determine m(6).
14
Let h(t) be the first derivative of 5*t**2/2 - 3*t - 335. Determine h(-3).
-18
Let y be 135/12 - (-8)/(-32). Let p(u) = u + 2. Determine p(y).
13
Let g(u) = u**2 - 5*u + 6. Let a be g(6). Let n(s) = -5*s + 6 + a*s - 5*s. What is n(6)?
18
Let c(z) = z**3 - 6*z**2 - 2*z - 4. Let t = -207 + 213. What is c(t)?
-16
Let u(j) = -7*j - 25261 + 25261 + j**2. Suppose 0 = -5*d - 5*b + 8 + 32, 16 = 3*d - b. What is u(d)?
-6
Let c(k) = -2*k**2 - 4*k. Let n be ((-4)/10)/((-11)/110). Suppose 0 = -0*u - 4*u - 12. Let j be n/(-4)*(-12)/u. Calculate c(j).
-16
Let n(i) = i**3 - 14*i**2 + 14*i - 11. Let v be n(13). Suppose 0 = -3*z + v + 4. Let t(u) = 0*u - 2 + 2*u + 3*u - 3*u**z - 3*u. What is t(2)?
-10
Let z = -1086 + 1082. Let r(v) = 13*v + 4. Calculate r(z).
-48
Suppose 0*j - 10 = 5*j. Let g be (-22)/(-10) - (-48)/60. Let y(r) = -g - 2*r - 1 + 1 - 2*r. Give y(j).
5
Let m be 6 + 1/((-6)/168*4). Let u(y) = y - 1. Calculate u(m).
-2
Let y(g) = -g**2 - g - 5. Let h(o) = -o**2 - 2*o - 5. Let j(f) = 6*h(f) - 5*y(f). Let q(w) = -w**3 - 13*w**2 - 2*w - 30. Let i be q(-13). Determine j(i).
7
Let n(z) = 5*z - 76 - z**2 + 82 - z**3 + 0*z**2 - 3*z**2. Calculate n(-4).
-14
Let j(i) = 6*i. Let n(w) = -9*w + 2. Let v be n(3). Let t be 1 + v + 0/3. Let y be (-32)/t*(-6)/4. Calculate j(y).
-12
Let z be (-1)/(-2)*(-12)/(-6). Let o(y) = 14*y - z - 9*y - 4*y. Let j be (-2)/(-1) + (-2 - -1). What is o(j)?
0
Let c(f) = -7*f**3 + 18 - 4*f**3 + 5*f**2 - 5*f - 15 + 12*f**3. Suppose -2*k + 3 = -4*v - 1, 3*k - 5*v = 2. Determine c(k).
-3
Let x(h) = -3 - 1 - 7*h + 3 + h**2 + 6*h**2 - h**3. Suppose 2*a + 2*r - 12 = 0, -a - 2*a + 19 = 4*r. Suppose g - 1 = 0, -2*y - a*g = y - 23. Determine x(y).
-7
Let h(n) = -n + 2. Let j(u) = -4*u - 8. Let c(k) = -5*h(k) + j(k). Calculate c(17).
-1
Let q be (-12)/((-36)/33) + -13. Let t(l) be the third derivative of l**6/120 - l**5/60 - l**4/8 - l**3/2 + l**2. Give t(q).
-9
Let d = 4 - 3. Let m(g) be the first derivative of -g**2/2 + g - 31. Give m(d).
0
Let i(k) be the first derivative of -k**2 + k + 159. Suppose 2*j = -2 - 2. Determine i(j).
5
Let u(d) = -12*d**3 + d - 1. Let k(o) = -o. Let h(s) = 2*s**2 + 18*s - 1. Let i(y) = -h(y) + 2*k(y). Let g be i(-10). What is u(g)?
-12
Let f(j) = -7 - 2*j - 14 - 12 - 20 + 50 + j**2. Give f(3).
0
Let i(r) = r + 7. Let b(z) = z**3 - 16*z**2 + 13*z + 23. Let a be b(15). Let x be -4 + (-2 + a)/3. What is i(x)?
0
Let l(h) = -h**2 - 2*h - 1. Let o(w) = w**2 + 7*w - 5. Let i be o(-8). Let u be (-30)/(-20)*(-4)/i. Determine l(u).
-1
Suppose 0 = -2*s + s. Let p be 18/6 - (s - -3). Suppose -k + 4*d - 4 = 3*k, p = 5*k + 5*d + 25. Let x(v) = -2*v**2 - 3*v - 1. What is x(k)?
-10
Let b(d) = -3*d**2 - 2 + 113*d**3 - 1 + 2*d - 111*d**3. Let h be b(2). Let f(v) = 3*v + 1. Let m(z) = -2*z - 1. Let r(l) = -4*f(l) - 5*m(l). What is r(h)?
-9
Let t(c) = c**2 - 14*c - 14. Suppose 7*n - 4*s = 109, 2*s - 11 = -n + 2. Calculate t(n).
1
Let r(t) = t**2 - 15*t + 5. Suppose -4*i + 88 = 5*x, 0 = i + 2*x - 5 - 20. What is r(i)?
39
Let v = -11 + 30. Let x(s) = -2 - 2*s**2 + s**2 + 37*s - 16*s - v*s. What is x(2)?
-2
Let f be 9/(-6)*(-20)/15. Let q be (4/(-2) - f)*2. Let n(x) = x + 3. What is n(q)?
-5
Let k be (-2)/5 + 459/135. Let b(o) be the first derivative of k*o - 9 + 1/2*o**2. Determine b(-2).
1
Let j(u) = -2*u**2 - 26*u + 30. Let s be (-11904)/868 + (-9)/7 + 1. What is j(s)?
2
Let t(u) = 2*u + 4. Let x be t(-1). Let p(o) = -7 + 3*o**3 + 5*o**3 - 10*o**3 - 7*o**x + 3*o**3 + 6*o. What is p(6)?
-7
Let k(w) be the third derivative of -w**5/60 - 7*w**4/8 + 19*w**3/6 - 69*w**2. Calculate k(-22).
-3
Let r = 12 - 26. Let g = 8 + r. Let h(u) = 7*u**2 + 5*u + 8. Let a(d) = 12*d**2 + 11*d + 16. Let x(m) = 3*a(m) - 5*h(m). Give x(g).
-4
Let s be ((-24552)/55)/24 + (-3)/(-5). Let d(v) = -v**2 - 20*v - 36. What is d(s)?
0
Suppose 23 - 11 = 6*l. Let z(y) = -4*y + 16*y**2 - 17*y**l + 3*y. Calculate z(-1).
0
Suppose 3*c - 2*c = 5. Let i(f) = f - 7. Let w(b) = 2*b + 14. Let q(s) = 3*s + 14. Let n(m) = 4*q(m) - 5*w(m). Let o(y) = -7*i(y) + 3*n(y). Calculate o(c).
2
Let d(r) = -105*r - 2*r**2 + 0 + 2 - 4 + 120*r. Give d(7).
5
Let u(v) = -v**3 - 3*v**2 - 3*v + 3. Let c be u(-3). Let r(t) = -t**3 + 11*t**2 + 12*t - 3. Determine r(c).
-3
Let n(d) be the third derivative of -1/120*d**6 + 16*d**2 - 1/15*d**5 + 0 + 0*d - 7/6*d**3 + 1/6*d**4. Determine n(-5).
-2
Suppose 0*o - 4*v = 2*o + 94, 0 = 5*v. Let p = o + 53. Let w(u) = 3*u - 1. Determine w(p).
17
Let s be 0/(((-1)/2)/((-4)/(-8))). Let v(p) be the third derivative of 0*p**3 + 0 + 1/10*p**6 + 1/24*p**4 - 1/30*p**5 + s*p - 3*p**2. Give v(1).
11
Let i(n) be the third derivative of n**5/20 + n**4/3 + n**3/2 - 453*n**2. Give i(-2).
-1
Let k(s) = s - 11. Let g(r) = -2*r**2 - 13*r + 7. Let l be g(-6). Determine k(l).
2
Let l(n) be the third derivative of n**6/24 + n**5/30 + n**4/24 + 2*n**2. Let u = -15 + 16. Suppose r - u = 2*r. Calculate l(r).
-4
Let o(d) = -d**3 + d**2 - 2*d + 3. Suppose -8*s + 11 + 21 = 0. Suppose -g + 2 = 1, s*r + 3*g - 11 = 0. Calculate o(r).
-5
Let y(g) = 159*g**2 - 53*g**2 + 1 - 2 - 42*g**2 - 51*g**2 + 0. Suppose 6 = -3*o, -2*c - 1 = c - o. Let p = -2 - c. Determine y(p).
12
Let x(v) = -6*v**3 + 5*v**2 - 45*v + 16. Let b(f) = -f**3 + f**2 - 8*f + 3. Let o(z) = 11*b(z) - 2*x(z). Suppose 0 = -k - 4 + 3. What is o(k)?
-1
Let v(a) = 4*a + 0 - 9 + 4*a**2 + 5. Let w(q) = -3*q**2 - 3*q + 4. Let z(y) = 2*v(y) + 3*w(y). Let g = -26 - -23. Give z(g).
-2
Suppose -5 = -5*k, 4*u + 0*k - 14 = 2*k. Suppose -4*p + 3*p = -2. Let b(m) = -7*m - 4 - 29*m**2 + 6 + 30*m**p. What is b(u)?
-10
Let d(m) be the third derivative of -5/24*m**4 + 0 - 7/60*m**5 + 5/3*m**3 + 1/120*m**6 + 24*m**2 + 0*m. What is d(7)?
-25
Suppose -17*h + 10 + 58 = 0. Let n(o) be the second derivative of -5/12*o**h - 1/2*o**2 - 1/20*o**5 - 3*o - 2/3*o**3 + 0. Calculate n(-3).
-7
Let s(a) = 7*a**3 + 1. Let o(z) = -19*z + 24. Let k be o(-6). Let j = k - 139. Calculate s(j).
-6
Let z(k) = -k**2 + 9*k - 22. Suppose 15*y = 18*y - 5*c - 10, 4*y - 24 = -4*c. Give z(y).
-2
Let n(z) = z + 2. Let p be n(0). Suppose -p = 2*w - 6. Let a(g) be the second derivative of g**5/20 - g**4/6 - 2*g**3/3 + 3*g**2/2 - 9*g. Give a(w).
-5
Suppose i + 7 = 3*p, 5*p + 0*i - 15 = 5*i. Let u(l) = 6*l - 6*l**2 + 2*l**p + 2*l**2 + l**2. What is u(4)?
8
Suppose -u + 3*t + 3 = 0, 5*u + 2*t = 18 - 3. Suppose x - 2*d = -2, -5*x + 3*d + 0 - u = 0. Let p(w) = 156*w - 175*w + 9 + 20*w. What is p(x)?
9
Let p = -308 - -314. Let u(d) = 6*d - 11*d**2 - 2 + 10*d**2 + 0. Determine u(p).
-2
Let x = -15 - -21. Let q(n) = 1. Let i(g) = -2*g + 12. Let u(h) = i(h) - 4*q(h). Determine u(x).
-4
Let h(w) = -8*w + 43. Let j(o) = o**3 + 10*o**2 - 22*o + 26. Let n be j(-12). Let d(u) = -2*u + 11. Let k(z) = n*h(z) - 9*d(z). What is k(9)?
5
Suppose -5*b + f - 3*f - 8 = 0, -4*b = 2*f + 6. Let u be 2 + 2/4*b. Let m(s) = -32*s + 11. Let k(j) = 14*j - 5. Let h(a) = 9*k(a) + 4*m(a). What is h(u)?
-3
Suppose 19*d = 14*d - 25. Let u(o) = o**2 - 10*o - 2. Let p(v) = v**2 - 9*v - 2. Let m(t) = d*u(t) + 6*p(t). Give m(4).
-2
Suppose 3*a - 10 = s - 2*s, 0 = -2*a + s. Let q(b) = -7873*b**2 - b**3 - 3*b + 3935*b**2 + 3942*b**2 + 2. Give q(a).
4
Let c(b) be the first derivative of b**3/6 + 25*b + 34. Let t(l) be the first derivative of c(l). Calculate t(-2).
-2
Let i(r) = -r - 19. Suppose -16*s + 154 = -27*s. Give i(s).
-5
Let f(z) = -z**3 - 2*z**2 + z + 4. Suppose -5*y = 3*y - 16. Suppose q = y*h + 5*q - 10, -h + q - 7 = 0. What is f(h)?
10
Let m(x) = 2*x**3 + x - 2. Let i(k) = 2*k**3 + k - 2. Let g(w) = -3*i(w) + 2*m(w). What is g(2)?
-16
Let i(l) = l**2 - 6*l + 4. Let b(t) = -6*t**3 + t**2 + t. Let y be b(-1). Let p be -5 + 7 + 3*y. Let m be 75/p + (-2)/(-8). Determine i(m).
-4
Let u(j) be the first derivative of j**3/3 - j + 22. Let d be 6/4*(-44)/(-33). Give u(d).
3
Let i(r) = r**2 + 9*r + 1. Let g(w) = -w**2 - 8*w + 36. Let o be g(9). Let c be o/17 - (-3 - 212/(-68)). What is i(c)?
-13
Suppose 0*o + 8 = -4*o. Let l = o + 7. Let k(s) = 2*s + 3*s - 6*s. Giv | {
"pile_set_name": "DM Mathematics"
} |
+ 2*o - 24, 4*j = -o + g. Let d = j - -134. Is d prime?
True
Let c(q) = -8*q**3 - 7*q**2 - 11*q + 11. Is c(-15) a prime number?
True
Suppose 5*o + 25589 = 2*c - 36515, 0 = 4*c - 2*o - 124160. Is c a composite number?
True
Let f(j) = -5*j**2 - 10*j + 54. Let g be f(11). Let s = -164 + g. Let x = 886 - s. Is x composite?
True
Let u = -2220 - 1622. Let i = 249 - u. Is i a prime number?
True
Suppose w - 3*w = 2*l + 16, 4*l + 24 = -2*w. Let b(f) = -2*f - 5. Let t be b(w). Suppose -t*m = -0*m - 861. Is m a prime number?
False
Suppose 1 = -5*z - k - 14, -2*z + 3*k + 11 = 0. Let v(x) = 4*x + 13. Let c be v(z). Suppose c*o = 4414 + 831. Is o prime?
True
Let c(q) be the first derivative of -29*q**2/2 + 40*q + 1. Suppose 3*z = -2*k - 49, -5*k - 3*z = 8 + 92. Is c(k) a composite number?
True
Suppose -2651 - 7513 = -14*a. Let o = a - 275. Is o prime?
False
Let p = -4333 - -2494. Let b = 7472 + p. Is b composite?
True
Let d be (-5)/((-15)/63) - 5. Suppose -12367 = -d*z + 3217. Is z prime?
False
Suppose -26*p + 221825 + 334706 = -3*p. Is p prime?
True
Let o(x) = -3*x**3 - 15*x**2 - 36*x + 22. Let z be o(-13). Suppose z = 7*j - 1803. Is j a composite number?
False
Suppose 0 = -5*p + 6 + 14. Suppose 5*v = p*v + 3. Suppose 0 = -v*d + d + 434. Is d composite?
True
Let s(t) = 795*t**2 - 3*t + 1. Let u(o) = -o**2 + o. Let w(q) = -s(q) - 2*u(q). Let l be w(1). Let g = 2450 + l. Is g prime?
True
Let f(x) = -x**2 - 29*x - 190. Let z be f(-17). Is (-48)/168 - (-33072)/z a composite number?
True
Suppose -2*n - 17 = -3*i, 0 = n + 4*i - i + 22. Let f(t) = -91*t + 34. Is f(n) a prime number?
True
Suppose 5*r - 886119 = 74541. Is r/180 + 2/(-5) a composite number?
True
Is -743638*6/(-30) + (-12)/20 a prime number?
True
Suppose -4*c - 59 = -75. Suppose 0 = 5*u + 5*z - 38005, -c*u + z + 30404 = -4*z. Is u a composite number?
True
Suppose 44*u = -27*u + 3570519. Is u a composite number?
True
Let r(w) = 423*w**2 + 418*w - 69. Is r(22) a composite number?
False
Let a be 2/4 - (-1 + -1)*46194/(-24). Let q be (2/(-5))/(2/28040). Let j = a - q. Is j a prime number?
True
Let g = -12036 + 491. Is -10*1*(-9)/((-90)/g) a composite number?
True
Is ((-356493)/9)/(105/(-315)) prime?
True
Suppose 0 = -4*b + 9 - 1. Suppose -x = -3*u - 3064, 5*x - 6*x - b*u = -3039. Is x a composite number?
False
Let p(k) = k + 3*k - 4*k**3 - 7*k - 7*k**2 - 2*k - 1. Suppose -108*q + 104*q = 16. Is p(q) composite?
False
Suppose -5*i = 2*s - 99705, 49855 = -17*s + 18*s + 2*i. Is s a composite number?
True
Suppose -14*a = -47 - 149. Let n(q) = -q**3 + 12*q**2 + 30*q - 26. Let f be n(a). Is (-4 + 2611/2)/(f/4) a prime number?
False
Let t(q) = -33452*q + 2467. Is t(-2) composite?
False
Let k(w) = 6*w**2 - 32*w - 4. Let p be k(6). Suppose p*d = 33368 + 38052. Is d a composite number?
False
Let t(u) = -14*u**3 - 2. Let j(y) = -y**3 + 5*y**2 + 7*y - 4. Let c be j(6). Let i be t(c). Is (((-16)/(-6))/4)/((-2)/i) a composite number?
True
Suppose -485*z = -482*z - 6, b + 5*z - 82077 = 0. Is b composite?
False
Let j = 17347 - 12252. Is j a composite number?
True
Let v(k) = -139*k**2 - 1. Let x be v(1). Let z = 113 + x. Is 6472/6 + (-9)/z a composite number?
True
Let k = 39 - 37. Suppose k*q + 10 = 6. Is ((-248)/32)/(q/8) prime?
True
Suppose -39*g = -33*g - 66. Let s(k) = 8*k**2 - 11*k - 36. Is s(g) a prime number?
True
Let s = 52 + -48. Let u(m) = 3*m - 5. Let p be u(2). Suppose s*a - 3361 = -5*b, 4*b - 5*b = -p. Is a prime?
True
Let n be ((-1488)/30)/(10/(-325)). Suppose 4*f = -q + n, 4*f - 4*q - 458 = 1154. Is f prime?
False
Suppose 0*j + 2*j + 5*c = 18, 3*j - 18 = -3*c. Is (j/2 - -642) + -3 composite?
False
Suppose 32*a - 33*a - 3*u = -51249, 0 = -7*a - 3*u + 358635. Is a a prime number?
False
Let r(t) = 18*t - 34. Let d be r(2). Suppose 4*a - 32 = -4*s, -s = -5*s + 4*a + 8. Suppose 0 = 2*x - s*m + 4*m - 957, -x + 481 = d*m. Is x a prime number?
True
Suppose 2*x = -2*w + 2052, -2*x - w + 2052 = -5*w. Suppose n - 506 = x. Suppose -4*r + 1240 = -0*h + 4*h, 5*h = r + n. Is h prime?
True
Let p = 11 + 0. Suppose -p*k + 7*k + 116 = 0. Let y = 190 - k. Is y composite?
True
Suppose -5*f - 156508 = 12*i - 13*i, -4*i = -3*f - 625913. Is i prime?
False
Suppose 68*w - 6 = 67*w. Suppose 5*r = -2*u + 7306, w*u - 14584 = 2*u - 3*r. Is u a prime number?
True
Let r(k) = -27788*k**3 + 2*k**2 - 8*k - 7. Is r(-1) composite?
False
Let v = -1457 + 105350. Is v composite?
True
Suppose 677*g + 152*g - 174280626 - 110987393 = 0. Is g composite?
False
Let p = -58 - -89. Let b = p - 55. Is (-4)/(b/(-184)*(-2)/3) a composite number?
True
Let h = 2 + 0. Let s be h/7 + 13167/49. Let y = s + -6. Is y a prime number?
True
Let a = 247 + 4382. Suppose -4*t = -12, -t + a + 4479 = 3*d. Is d composite?
True
Suppose 3*w - 8 = -w. Let a be w - 1/(1/(-2651)*1). Suppose -7*i = -0*i - a. Is i composite?
False
Suppose 5*h + 2*d - 484243 = 0, -h - 26*d = -22*d - 96863. Is h a composite number?
False
Let v = 561178 - -78493. Is v a prime number?
True
Let q = 35149 + 74868. Is q a prime number?
True
Let x(f) = f**2 + 5*f + 2. Suppose 17*j - 36 = 23*j. Let n be x(j). Is 23061/12 - 6/n a prime number?
False
Suppose 46*f + 11514 = 44*f. Let y = -3883 - f. Is y composite?
True
Suppose -f - 5*k = -2*k - 40, 0 = 4*f - k - 108. Suppose -f*z = -35*z + 54649. Is z a prime number?
False
Suppose 1072131 = 13*d + 5*d - 434559. Is d composite?
True
Suppose -54*r + 185505 = 3*w - 51*r, 247328 = 4*w + 2*r. Is w composite?
True
Suppose 3*j = -0*j. Let m(k) = 239 - k + 6*k**2 + 13*k**2 - 16*k**2 - 2*k**2. Is m(j) prime?
True
Suppose 5 = 3*g - 1. Let x be (2 - -16)*(g - (-51)/6). Let n = x - 110. Is n prime?
True
Is -5 + -1 - (0 + -198992 + -11) composite?
False
Let o = 16483 - -10776. Is o a composite number?
False
Let p(u) be the third derivative of u**6/120 + u**5/60 - 3*u**4/8 + 5*u**3/6 + 11*u**2. Suppose -2*b + 7 = -1. Is p(b) a composite number?
True
Suppose 4*q - 4*m - 4 = 4, 5*m = 2*q - 7. Is q + 7395 + 6 + 0 a prime number?
False
Let a(c) = -6*c**3 - 3*c**2 - 15*c + 62. Let p be a(7). Let y = -809 - p. Is y prime?
True
Let t be (-1)/1*9/(54/(-24)). Suppose -w = -v + t*w + 1429, 0 = 5*v - 2*w - 7191. Is v a composite number?
False
Suppose -13*w = -4*w - 117. Let s(m) be the second derivative of 7*m**4/12 - 23*m**3/6 + 11*m**2/2 + 5*m. Is s(w) prime?
False
Let y = 30036 + 8225. Is y a prime number?
True
Let k be (-6)/(-4) + (-590667)/(-14). Let p = k + -23038. Suppose p = 3*m + 3221. Is m a prime number?
False
Suppose 5*k = 4*q - 598 - 178, -4*k - 183 = -q. Suppose -84*g = -20*g + 3584. Let x = g + q. Is x prime?
False
Suppose 3*u + 362580 = 3*m, u + 2*u = 5*m - 604306. Is m prime?
True
Let m(v) = 2*v**2 + 25*v + 41. Let l be m(-11). Suppose 0 = l*y - 13358 - 103530. Is y composite?
True
Suppose 39*h - 57613 = 38*h. Suppose -12*u + 27335 + h = 0. Is u a prime number?
True
Suppose -w = 3*i - 241435, 4*w = -5*i + 2*w + 402393. Is i a prime number?
False
Suppose -3814567 = -334*s + 2712127. Is s prime?
True
Suppose 1174254 = 5*o + s, 4*o - 2*s + 234849 = 5*o. Is o prime?
True
Suppose 2*i = 4*f + 174578, -14*i + 18*i - 349153 = 5*f. Is i composite?
True
Let y = -9 + 11. Let u = -1687 - -6185. Suppose n - 1693 = 5*v, y*n = 5*v - 1112 + u. Is n a composite number?
False
Let n(f) = 8*f + 61. Let a be n(-7). Suppose 3*q - k + 462 = 2011, -a*q - 4*k + 2576 = 0. Is ((q/8)/1)/((-1)/(-2)) a prime number?
False
Let i = -450 + 453. Suppose w - 1896 = -c + 657, -w = i*c - 7667. Is c a composite number?
False
Let r = 91988 + -26821. Is r prime?
True
Is -4 - (0/18 - (-3 - (-111416)/1)) a prime number?
True
Let g(t) = -15500*t**3 - 4*t**2 - 4*t + 1. Is g(-1) a composite number?
True
Let m be (-4)/12 - ((-10)/6)/5. Suppose 5*q - 4*t - 21001 = m, q + 2*t = 3388 + 815. Is q a prime number?
True
Let v be 2*(-7394)/(-12) - (-256)/(-192). Let q = v - -2746. Is q a composite number?
True
Let g = -80 + 78. Let a(s) = -11*s**3 - 4*s**2 - 7*s - 9. Is a(g) composite?
True
Suppose -22 = -2*a - 322. Let t be (-2 - a/9)/(2/243). Suppose t + 2438 = 4*y. Is y a prime number?
False
Let t(u) be the third derivative of -u**6/120 + 4*u**5/15 + u**4/3 + 5*u**3/6 - 2*u**2 - 26*u. Is t(12) prime?
True
Suppose -3*i + 160256 = 3*q - 1447396, 3*i - 15 = 0. Is q a composite number?
False
Suppose 641028 = 2394* | {
"pile_set_name": "DM Mathematics"
} |
)*(4*w**2 - 2*w**2 - 3*w**2) + (4*w**3 - 3*w**3 + 3*w**3)*(w - w - w).
-3*w**4
Expand (5*p**2 + 18 - 18)*(-4*p**2 + 5*p**2 + 0*p**2) + 6*p - 5*p + 1 - 4 + 4*p**4.
9*p**4 + p - 3
Expand (-83 + 94 - 60)*(-1 - y + 1).
49*y
Expand (919*z**3 - 5378*z**2 + 5378*z**2)*(z**2 + z - z).
919*z**5
Expand ((-2 + 3 - 4)*(0 + 3 + 0) + 2 + 2 - 3)*(p**2 - 2*p**2 + 2*p**2)*(0*p + 10*p + 2*p).
-96*p**3
Expand -4 + 4 + 2*j - 4*j + 3*j + 0*j + 0 + 0 - 2*j + (0 + 0 + 2)*(-j + 0 + 0) - 3*j + 6*j - 2*j - 5*j + 5*j - j + 551*j + 244*j + 84*j.
876*j
Expand (o**3 - o**3 + o**4)*(-15 + 4 - 9)*(-7*o + 0*o - o).
160*o**5
Expand (3 + 0 - 1)*(47898*y**5 - 2*y - 48040*y**5 - 2*y**3 + 0*y).
-284*y**5 - 4*y**3 - 4*y
Expand (s - s + 2*s)*(-15*s**2 - 7*s**2 - 14*s**2) - 2*s**3 + 3*s**3 + 0*s**3.
-71*s**3
Expand (0*g**4 + 2*g**4 - 4*g**4)*(0 + 0 + 1)*(g + 41*g + 51*g).
-186*g**5
Expand (-11*l + 31*l + 6*l)*((4 - 4 + 2)*(0*l + 2*l - l) + l + 1 - 1 + 0*l + 0*l - 2*l).
26*l**2
Expand (-4*d**2 + d**2 + 4*d**2 - 2*d**2 + 4*d**2 + d**2 + (-3*d + 5*d - 3*d)*(1 - d - 1))*(1282 + 1380 - 2800 - d).
-5*d**3 - 690*d**2
Expand (-3*q + 2*q + 0*q + (-1 + 1 + 1)*(0*q + q - 2*q))*(8241*q - 32 - 8242*q - 131).
2*q**2 + 326*q
Expand (3*i + 0*i - 2*i)*(-3*i + 0*i + 7*i)*(-5*i**3 + 25*i - 25*i).
-20*i**5
Expand (-3*a - a + 5*a)*(2*a - a + 5*a)*(-3*a**2 + 3*a**2 - 2*a**2)*(-4 - 2 + 7).
-12*a**4
Expand ((-3 + 1 + 0)*(-1 + 0 + 2) + 2 - 1 + 0 + (4 - 1 - 1)*(-3 + 5 - 1) + 399 + 252 + 94)*(o - 4 + 4).
746*o
Expand (0 + 3*a**2 + 0)*(-2*a - 4 + 4) - 101*a**3 + 644 - 644.
-107*a**3
Expand 2*i + 0*i - 3*i + (2*i - i - 2*i)*(0 - 1 + 0) + 2*i + 1 + 2*i - 3*i + (-3 + 7 - 2)*(3*i - 4*i + 4*i).
7*i + 1
Expand -94399*x + 94399*x - 254*x**4 - 4*x**4 + 3*x**4 - 3*x**4 + (-7*x**3 + x**3 + 4*x**3)*(-3*x + 0*x + 2*x).
-256*x**4
Expand (-4 + 22 + 27)*(-3*t**3 + t**3 + t**3) + 2*t**3 + 0*t**3 - t**3.
-44*t**3
Expand (q**4 - q**4 + q**4)*(167 + 123 - 177 - q).
-q**5 + 113*q**4
Expand (-3 + 13 + 6)*(2*k - k + k + (-k - k - k)*(-5 + 0 + 4)).
80*k
Expand (-d**2 + 2*d**2 - 3*d**2)*(4 - 4 + 2) + 2*d**2 + 0*d + 0*d - 3*d - 2*d**2 + 3*d + (5 - 1 - 2)*(-d**2 + 3*d**2 - 4*d**2) + 0*d**2 + 6*d**2 - d**2.
-3*d**2
Expand 4*w + w - 3*w + (0*w + w + 0*w)*(-1 + 0 + 8)*(-42 + 29 + 28).
107*w
Expand (4*j - 17*j - 16*j)*(2 - 2 - 3*j**2) + 2*j**3 - 2*j**2 + 2*j**2.
89*j**3
Expand (1 - 3 + 1)*(g**4 - 2*g**4 - g**4) + g**4 - 2*g**4 + 0*g**4 + (-g**4 + g**4 + g**4)*((2 - 5 - 1)*(-1 + 2 - 6) + 1 + 0 + 1).
23*g**4
Expand -o - 4*o - 5*o + (-5 + 2 + 4)*(3*o + 2*o - 3*o) + 0*o - 4*o + 6*o + 2*o - 3*o + 3*o + 7*o - 42*o + 0*o - 3*o + 2*o + 3*o + (-o - 3*o + 2*o)*(-3 + 4 - 3).
-33*o
Expand (-5 + 6 + 15)*(-4*a - 2*a**5 + 3*a**5 + 2*a**5).
48*a**5 - 64*a
Expand (44 - 21 - 26)*(0*p + 2*p + 0*p).
-6*p
Expand 957*d**2 - 696*d**2 + 4 - 4 - d**2 + 2*d**2 - 3*d**2 + (2 - 6 + 3)*(d**2 + 3*d**2 - 3*d**2) - 3*d**2 - d**2 + 2*d**2.
256*d**2
Expand (-2*w + 2*w + 4*w)*(13*w + w + 5*w).
76*w**2
Expand (-2458*w + 2458*w + 3871*w**2 - 625*w**2)*(-2*w**2 + 2*w**2 + w**2).
3246*w**4
Expand ((-4*s + 2*s + 3*s)*(0 + 1 - 3) - 2*s - s + s - 8*s + 41 - 41)*(-3*s**2 - s**4 + 3*s**2).
12*s**5
Expand (-1 + 7 + 1)*(3 + 1 - 6)*(-86*m**3 - 112*m - 137*m + 88*m**3).
-28*m**3 + 3486*m
Expand 2*n**5 - 2*n**5 + n**5 + (-4*n**4 + 11*n - 11*n)*(10*n + 4 - 4).
-39*n**5
Expand (-1343*i**4 + 1342*i**4 - 329 - 531)*(-2*i + 3*i + 0*i).
-i**5 - 860*i
Expand (-3*b - 2*b + 4*b + (2*b - b + b)*(1 - 3 + 0) - 9*b - 74*b - 7*b)*(2*b - 4*b + 2 + b - 4*b + 3*b - b + (-2*b - 4 + 4)*(-3 - 1 + 5)).
475*b**2 - 190*b
Expand -157 - 23*v**5 + 157 + (-v**2 + 5*v**2 - 2*v**2)*(-4*v**2 - 4*v**3 + 4*v**2) + 1 - 6 - 2*v**5 + 6.
-33*v**5 + 1
Expand 783*w**3 - 783*w**3 + 39*w**5 + (w - w - 2*w**2)*(17*w**2 + 6*w**3 - 17*w**2) + 2*w**5 + 0 + 0.
29*w**5
Expand 3*o**2 + 0*o + 0*o + (3*o - 6*o + 2*o)*(261 - 261 - 26*o).
29*o**2
Expand 43*o**2 - 43*o**2 + o + 3*o**3 + (-3*o**2 + 4*o**2 - 2*o**2)*(-5*o + 3*o - o).
6*o**3 + o
Expand (-10*l**3 - 12*l**3 + 11*l**3)*(-2 - 2 + 2) - 4*l**2 + 10*l**3 + 4*l**2.
32*l**3
Expand (-h + 3*h - 3*h)*(12 - 2 - 39)*(-5*h - 71 + 32 + 35).
-145*h**2 - 116*h
Expand (5*h - 3*h - 3*h)*(-5 - 4 + 1)*(-h**2 - h**2 + 0*h**2) + (-3*h + 2 - 2)*(0*h + 2*h**2 + 0*h).
-22*h**3
Expand (-3*o**2 + 4*o**2 - 3*o**2)*(-285 + 116 - 28 + (1 - 4 + 1)*(-1 - 2 + 1))*(2*o - 2 + 2).
772*o**3
Expand 5*g - 4*g - 6*g + (2 + 0 - 1)*(-5*g + 7*g + 9*g).
6*g
Expand (-3*a**4 + 4*a**4 - 3*a**4)*(6354 + 2334 + 50 - 1316).
-14844*a**4
Expand (-j - 15*j + 0*j)*(0 - 2 + 3 - 1 + 2 - 3 + (1 + 3 - 3)*(-4 + 0 + 5) + 3 + 1 - 2)*(-5 + 0 + 4)*(0*j - 2*j - j).
-96*j**2
Expand (2 - 1 + 0)*(-1 + 4 - 2)*(2 - 3 + 2)*(-14*l**4 + 34*l**4 + 2*l**4).
22*l**4
Expand 37*f**4 + 3786 - 3787 - 107*f**4 - 2*f**2 + 2*f**2 - f**4 + (f**4 + f**4 - 3*f**4)*(2 + 3 - 4).
-72*f**4 - 1
Expand -r**2 + 2*r**2 + r**2 + (-5 + 5 - 2*r)*(0*r - r + 0*r) + 3*r**2 - 4*r**2 + 2*r**2 - 300*r**2 - 145*r**2 + 126*r**2 - 2*r**2 - 2*r**2 + 2*r**2.
-316*r**2
Expand (9*c**2 + c**2 + 0*c**2)*(0 + 0 - 1)*(-c + 2*c + 2*c).
-30*c**3
Expand 23*j**3 - 4 + 4 + (j - 5*j + j)*(2 + 1 - 4)*(3*j**2 + j**2 - 3*j**2).
26*j**3
Expand (3*l + l**2 - 3*l)*(74 - 3 - 24).
47*l**2
Expand (-8*z - 6*z**3 + 8*z)*(-30*z - 17*z + 37*z)*(3*z - 4*z + 0*z) - 3*z**5 + 5*z**5 - 3*z**5.
-61*z**5
Expand (11 - 11 - 14*c)*(12 - 19*c - 12).
266*c**2
Expand (0 + 15 + 2)*((4*w**4 + 6*w**3 - 6*w**3)*(2*w - 2*w - w) + 2*w**5 - 3*w**2 + 3*w**2).
-34*w**5
Expand (0*b + b - 2*b)*(-2*b**2 + 0*b**2 + b**2 + (-5 + 5 + 1)*(-3*b**2 + 3*b**2 - 2*b**2) - 5*b**2 - b**2 - b**2).
10*b**3
Expand (17 + 11 + 3)*(-5 + t + 5)*(3 - 3 + t).
31*t**2
Expand (2*o - 2*o + 2*o**2)*(4*o**2 + o**2 - 7*o**2) + 3*o**4 - 5*o**4 + o**4 + 149*o**4 + 205*o**4 + 304*o**4.
653*o**4
Expand (-4 - 1 + 1)*((-9 + 19 + 9)*(-6*w + 0*w + 3*w) + w - 1 + 1).
224*w
Expand -16*l**3 - 2*l**3 + 62*l**3 + (-2 + 2*l + 2)*(-4*l**2 + l**2 + 4*l**2).
46*l**3
Expand (6970 - 232*m - 6970)*(2 - 3 - 1).
464*m
Expand -8*a**3 - a**5 + 8*a**3 + (4 - a - 4)*(-2*a**4 + 2*a**4 + 2*a**4).
-3*a**5
Expand (-60*h - 58*h + 21*h)*(-h**2 + h**2 - 6*h**2 + (h**2 + 0*h + 0*h)*(0 - 2 + 1)).
679*h**3
Expand (2*h - h - 1 + 7)*(-h**2 - 3 + 3) + (-14*h**2 + 5*h**2 - 6*h**2)*(3*h + 3*h - 5*h).
-16*h**3 - 6*h**2
Expand (23 - 43 + 29)*(-b**5 - 3*b**5 + b**5) + (b**3 - 4*b**3 + 2*b**3)*(-38 + 8*b**2 + 38).
-35*b**5
Expand (4*o - 6 + 3 + 1)*(2 + 3*o - 2).
12*o**2 - 6*o
Expand (97 + 99 - 197 + 98*g)*(3*g**2 + 2*g - 3*g - 5*g**2).
-196*g**3 - 96*g**2 + g
Expand (-2*n + n - n)*(0 + 0 - 2*n) + (3 + n**2 - 3)*(-1 + 2 - 2).
3*n**2
Expand (22*o**2 - 14748 + o**5 + 14748)*(0 + 6 - 4).
2*o**5 + 44*o**2
Expand (1 - 1 + 1)*(-2 + l + 2) + (-2 - 4 + 5)*(-2*l - 2 + 2) + 203 + 82*l - 203 + l + 5*l + 4*l.
95*l
Expand 8*m**3 - 8*m**3 + 31*m**4 + (-58 + 58 + 3*m**2)*(-m**2 - 3*m**2 + 2*m**2).
25*m**4
Expand (2 - 26*x + 211*x - 15*x)*(0*x - 4*x + 5*x + x**2).
170*x**3 + 172*x**2 + 2*x
Expand (-2*i + i + 2*i)*(i + 2*i**4 - i) + 673*i**3 - 673*i**3 + 26*i**5.
28*i**5
Expand 3*j**2 - 25*j**3 - 9*j**2 + 23*j**3 + (-4*j + 2*j + 6*j)*(4*j**2 - j**2 - 2*j**2).
2*j**3 - 6*j**2
Expand ((-2*o**2 + 5 - 5)*(-2*o**2 + o - o) + o**3 - 148*o**4 + 84*o**4 + 2 - 2*o**3)*(-3*o + 2*o + 0*o).
60*o**5 + o**4 - 2*o
Expand (0 + 0 - 1)*(-43 + 43 - 156*f).
156*f
Expand (-4*a + a + 2*a)*(-6*a - 8*a - 2*a)*(1 - 6 + 4)*(-5 + 5 + 2).
-32*a**2
Expand (34 - 18 + 10)*((0*h - h + 3*h)*(2 - 1 - 2) + 0*h - 2*h + h + h - 2*h - h + (1 - 1 - 1)*(-3*h + 2 - 2) + 3*h + 2*h - 4*h).
-26*h
Expand (19 + 13524*q - 6*q**3 - 13524*q + 2*q**2)*(-q**2 - q**2 + q**2).
6*q**5 - 2*q**4 - 19*q**2
Expand (-6*n + 0*n + 3*n)*(2 - n - 2) + (-4 + 4 + 2*n)*(10*n + n - n).
23*n**2
Expand (-5 + 2 + 0)*(-c + c - 2*c**2 + (-13*c**2 - 4*c**2 - 6*c**2)*(-1 + 3 - 1) + (-4 - 2*c + 4)*(-3*c + 7*c - 2*c) + 3*c - 3*c - 2*c**2).
93*c**2
Expand -2*y**2 - 10*y**2 + y**2 + (12*y - 2*y + 25*y)*(y - 4 + 4).
24*y**2
Expand (1 - 4 + 5)*(5 - 3 + 0)*(b**2 - 7*b**2 - 7*b**2).
-52*b**2
Expand 0*v**3 + 2*v**3 - 4*v**3 + (v - v - 2*v**2)*(-4*v - 1 + 1) + 4*v**3 + v**3 - 4*v**3 + (0 - v**2 + 0)*(-4*v + 2*v + 13*v).
-4*v**3
Expand (102 - 529 - 229)*(-4*o + 4*o - 2*o)*(-4*o - o + 3*o).
-2624*o**2
Expand 2*x - 2*x**2 - 2*x + 2*x**2 + 4*x - 4*x + (-1 + 0 + 0)*(-x**2 + 2*x**2 + 0*x**2) + 2*x**2 + | {
"pile_set_name": "DM Mathematics"
} |
r?
14
What is 1255269190 to the power of 1/3, to the nearest integer?
1079
What is 49873505 to the power of 1/7, to the nearest integer?
13
What is 1595988245 to the power of 1/2, to the nearest integer?
39950
What is 203168665 to the power of 1/2, to the nearest integer?
14254
What is the third root of 3401133549 to the nearest integer?
1504
What is the fourth root of 41970586 to the nearest integer?
80
What is the ninth root of 6020688118 to the nearest integer?
12
What is the cube root of 11478652 to the nearest integer?
226
What is the square root of 2403057942 to the nearest integer?
49021
What is 29872539 to the power of 1/2, to the nearest integer?
5466
What is the cube root of 3597900638 to the nearest integer?
1532
What is the square root of 556913890 to the nearest integer?
23599
What is the square root of 368727473 to the nearest integer?
19202
What is the sixth root of 16339433 to the nearest integer?
16
What is 290844301 to the power of 1/9, to the nearest integer?
9
What is the square root of 72398617 to the nearest integer?
8509
What is the cube root of 4339045137 to the nearest integer?
1631
What is 75784837 to the power of 1/8, to the nearest integer?
10
What is 3750943974 to the power of 1/2, to the nearest integer?
61245
What is the square root of 2339746251 to the nearest integer?
48371
What is the fifth root of 1100837677 to the nearest integer?
64
What is the third root of 73522667 to the nearest integer?
419
What is the seventh root of 890273280 to the nearest integer?
19
What is the square root of 1114157888 to the nearest integer?
33379
What is 826863479 to the power of 1/2, to the nearest integer?
28755
What is 43476910 to the power of 1/10, to the nearest integer?
6
What is the tenth root of 395099121 to the nearest integer?
7
What is the cube root of 90580948 to the nearest integer?
449
What is 279610321 to the power of 1/10, to the nearest integer?
7
What is 664511859 to the power of 1/2, to the nearest integer?
25778
What is the fifth root of 434222423 to the nearest integer?
53
What is the third root of 259952440 to the nearest integer?
638
What is 1278421017 to the power of 1/3, to the nearest integer?
1085
What is the fifth root of 5574088161 to the nearest integer?
89
What is the square root of 4998358 to the nearest integer?
2236
What is the tenth root of 240998636 to the nearest integer?
7
What is the ninth root of 20547915 to the nearest integer?
6
What is the square root of 322497189 to the nearest integer?
17958
What is 184175066 to the power of 1/4, to the nearest integer?
116
What is the eighth root of 81626617 to the nearest integer?
10
What is 61031028 to the power of 1/2, to the nearest integer?
7812
What is the fourth root of 2264851002 to the nearest integer?
218
What is the eighth root of 807185 to the nearest integer?
5
What is the square root of 7308749 to the nearest integer?
2703
What is 462368201 to the power of 1/4, to the nearest integer?
147
What is the eighth root of 950507362 to the nearest integer?
13
What is the fourth root of 43770869 to the nearest integer?
81
What is the square root of 88727715 to the nearest integer?
9420
What is 54465178 to the power of 1/2, to the nearest integer?
7380
What is the cube root of 2426952236 to the nearest integer?
1344
What is 177768791 to the power of 1/5, to the nearest integer?
45
What is the eighth root of 1683074603 to the nearest integer?
14
What is 34800002 to the power of 1/2, to the nearest integer?
5899
What is 26706205 to the power of 1/4, to the nearest integer?
72
What is the sixth root of 2086333410 to the nearest integer?
36
What is 207019521 to the power of 1/2, to the nearest integer?
14388
What is the square root of 473464387 to the nearest integer?
21759
What is 37674803 to the power of 1/2, to the nearest integer?
6138
What is the square root of 239884297 to the nearest integer?
15488
What is the third root of 413377813 to the nearest integer?
745
What is 43371896 to the power of 1/2, to the nearest integer?
6586
What is the sixth root of 263604816 to the nearest integer?
25
What is 27745747 to the power of 1/3, to the nearest integer?
303
What is the cube root of 504670791 to the nearest integer?
796
What is the third root of 2544961936 to the nearest integer?
1365
What is 61591160 to the power of 1/6, to the nearest integer?
20
What is 428145260 to the power of 1/6, to the nearest integer?
27
What is the cube root of 314236782 to the nearest integer?
680
What is the sixth root of 1463292386 to the nearest integer?
34
What is the third root of 32494368 to the nearest integer?
319
What is 14916163 to the power of 1/6, to the nearest integer?
16
What is the cube root of 17001860 to the nearest integer?
257
What is 106191516 to the power of 1/3, to the nearest integer?
474
What is the square root of 174742289 to the nearest integer?
13219
What is the square root of 23183353 to the nearest integer?
4815
What is the square root of 304651223 to the nearest integer?
17454
What is the third root of 53288391 to the nearest integer?
376
What is 1541461075 to the power of 1/2, to the nearest integer?
39261
What is 18455050 to the power of 1/2, to the nearest integer?
4296
What is the cube root of 354420188 to the nearest integer?
708
What is the third root of 116286381 to the nearest integer?
488
What is 148601531 to the power of 1/10, to the nearest integer?
7
What is the cube root of 553002558 to the nearest integer?
821
What is the eighth root of 21569032 to the nearest integer?
8
What is the cube root of 21520921 to the nearest integer?
278
What is the square root of 7662924256 to the nearest integer?
87538
What is 52287603 to the power of 1/2, to the nearest integer?
7231
What is 3055372061 to the power of 1/4, to the nearest integer?
235
What is the fourth root of 302240884 to the nearest integer?
132
What is 144353681 to the power of 1/2, to the nearest integer?
12015
What is 647937437 to the power of 1/2, to the nearest integer?
25455
What is 2295982093 to the power of 1/7, to the nearest integer?
22
What is 1126476124 to the power of 1/5, to the nearest integer?
65
What is 109943903 to the power of 1/2, to the nearest integer?
10485
What is the cube root of 13028530 to the nearest integer?
235
What is 6190823479 to the power of 1/3, to the nearest integer?
1836
What is 535489666 to the power of 1/3, to the nearest integer?
812
What is the third root of 1608687654 to the nearest integer?
1172
What is the third root of 178944172 to the nearest integer?
564
What is the fifth root of 219324943 to the nearest integer?
47
What is the square root of 4659784190 to the nearest integer?
68263
What is 316866870 to the power of 1/7, to the nearest integer?
16
What is the ninth root of 6359643224 to the nearest integer?
12
What is 77519799 to the power of 1/2, to the nearest integer?
8805
What is 2637961048 to the power of 1/2, to the nearest integer?
51361
What is the third root of 113025802 to the nearest integer?
483
What is the square root of 227814506 to the nearest integer?
15094
What is the cube root of 51251786 to the nearest integer?
371
What is 185209782 to the power of 1/6, to the nearest integer?
24
What is the tenth root of 44755166 to the nearest integer?
6
What is the third root of 326014458 to the nearest integer?
688
What is 52634909 to the power of 1/6, to the nearest integer?
19
What is 67380273 to the power of 1/3, to the nearest integer?
407
What is 5316308 to the power of 1/10, to the nearest integer?
5
What is the square root of 2071076280 to the nearest integer?
45509
What is the ninth root of 169113118 to the nearest integer?
8
What is the fourth root of 72264633 to the nearest integer?
92
What is the third root of 114731794 to the nearest integer?
486
What is the third root of 31644604 to the nearest integer?
316
What is the square root of 33280456 to the nearest integer?
5769
What is the sixth root of 98100066 to the nearest integer?
21
What is 21401395 to the power of 1/2, to the nearest integer?
4626
What is the seventh root of 39625813 to the nearest integer?
12
What is 186032197 to the power of 1/6, to the nearest integer?
24
What is the sixth root of 139374913 to the nearest integer?
23
What is the square r | {
"pile_set_name": "DM Mathematics"
} |
m {t: 1, x: 5, c: 3, s: 1, u: 1}. What is prob of picking 1 c and 1 s?
3/55
Calculate prob of picking 1 i, 1 o, and 1 b when three letters picked without replacement from {p: 1, g: 3, c: 1, b: 2, o: 3, i: 1}.
2/55
Four letters picked without replacement from wwywyweywyywyyyey. What is prob of picking 2 y and 2 e?
9/595
Three letters picked without replacement from {p: 5, b: 3, g: 8}. Give prob of picking 3 p.
1/56
Three letters picked without replacement from ymyymyymymmyy. What is prob of picking 3 m?
5/143
Three letters picked without replacement from xttggtgtettttgxt. What is prob of picking 2 g and 1 x?
3/140
Calculate prob of picking 1 u and 1 z when two letters picked without replacement from zepepupup.
1/18
Two letters picked without replacement from qqrrqqqqqqrrqqqqqqq. Give prob of picking 1 r and 1 q.
20/57
Three letters picked without replacement from kkkkkkkeek. Give prob of picking 2 e and 1 k.
1/15
What is prob of picking 2 d when two letters picked without replacement from rrdq?
0
Calculate prob of picking 1 i and 1 y when two letters picked without replacement from iyziirz.
1/7
Two letters picked without replacement from vndvzvn. Give prob of picking 1 v and 1 n.
2/7
Calculate prob of picking 1 i, 2 q, and 1 w when four letters picked without replacement from {l: 1, i: 2, q: 8, w: 9}.
168/1615
Four letters picked without replacement from {e: 2, j: 7, u: 1, c: 4, q: 1}. Give prob of picking 1 u and 3 j.
1/39
Three letters picked without replacement from rrrrrrrrrlrr. Give prob of picking 2 r and 1 l.
1/4
Calculate prob of picking 1 l, 1 i, and 2 v when four letters picked without replacement from {v: 3, i: 6, o: 1, l: 2, e: 5}.
9/595
What is prob of picking 2 n when two letters picked without replacement from {n: 6, x: 2}?
15/28
Two letters picked without replacement from tdldpp. What is prob of picking 1 d and 1 t?
2/15
Two letters picked without replacement from {t: 1, a: 2, f: 1, j: 1}. Give prob of picking 1 f and 1 j.
1/10
What is prob of picking 2 d when two letters picked without replacement from {d: 2, v: 2}?
1/6
What is prob of picking 1 m, 1 u, and 1 o when three letters picked without replacement from {u: 1, o: 2, m: 3, t: 7, e: 4}?
3/340
Two letters picked without replacement from urqq. Give prob of picking 1 r and 1 q.
1/3
Four letters picked without replacement from jjjjpjjjjjjpjjjjjj. What is prob of picking 4 j?
91/153
What is prob of picking 2 w when two letters picked without replacement from pnpwzwbwnzwwzwwbz?
21/136
Calculate prob of picking 2 m when two letters picked without replacement from {o: 4, d: 8, y: 1, k: 1, m: 3}.
3/136
Two letters picked without replacement from {u: 3, x: 1, j: 16}. Give prob of picking 1 u and 1 x.
3/190
Three letters picked without replacement from bcccbbbbbbccbcbcbcbc. Give prob of picking 2 b and 1 c.
33/76
Two letters picked without replacement from {z: 2, o: 1, u: 2, n: 1, i: 1, w: 1}. What is prob of picking 1 z and 1 w?
1/14
Calculate prob of picking 2 z and 2 u when four letters picked without replacement from {u: 8, z: 2}.
2/15
Three letters picked without replacement from repebbbpbhe. What is prob of picking 2 b and 1 p?
4/55
Calculate prob of picking 1 y and 1 f when two letters picked without replacement from wxwymmxzyfwmxwxwww.
2/153
What is prob of picking 1 h and 3 v when four letters picked without replacement from {v: 1, h: 4, e: 5, g: 1}?
0
What is prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from {h: 13, f: 3, i: 3}?
39/323
Calculate prob of picking 1 k, 1 v, and 1 m when three letters picked without replacement from kkvekvdkdmgd.
2/55
Four letters picked without replacement from ohsooknonohhhooho. What is prob of picking 1 s, 1 k, 1 o, and 1 n?
4/595
What is prob of picking 2 r when two letters picked without replacement from {r: 2, h: 5}?
1/21
Calculate prob of picking 2 f when two letters picked without replacement from ooffofooooooooofooo.
2/57
Three letters picked without replacement from {l: 12, h: 1}. Give prob of picking 2 l and 1 h.
3/13
Calculate prob of picking 3 t and 1 s when four letters picked without replacement from {t: 8, s: 5}.
56/143
What is prob of picking 1 e and 1 y when two letters picked without replacement from yzkeooaa?
1/28
Four letters picked without replacement from {w: 10, x: 2, u: 1, b: 1}. What is prob of picking 1 u, 2 x, and 1 b?
1/1001
Calculate prob of picking 3 x and 1 i when four letters picked without replacement from {x: 2, i: 4, n: 3}.
0
What is prob of picking 1 r, 2 a, and 1 l when four letters picked without replacement from {r: 1, y: 1, l: 9, a: 4}?
18/455
Two letters picked without replacement from {y: 1, q: 1, i: 1}. What is prob of picking 1 i and 1 y?
1/3
What is prob of picking 1 n and 1 w when two letters picked without replacement from fnffzbznbwwf?
2/33
Two letters picked without replacement from {f: 2, i: 7}. What is prob of picking 2 i?
7/12
Two letters picked without replacement from {o: 1, t: 1, b: 1, a: 1, i: 1}. What is prob of picking 1 b and 1 a?
1/10
Three letters picked without replacement from {f: 2, e: 4}. Give prob of picking 2 f and 1 e.
1/5
Four letters picked without replacement from {t: 2, z: 4, h: 2, a: 3, d: 6, f: 1}. Give prob of picking 2 a, 1 z, and 1 d.
2/85
Calculate prob of picking 1 l and 3 s when four letters picked without replacement from {l: 2, u: 6, s: 7, h: 1, p: 3}.
35/1938
What is prob of picking 1 y and 2 u when three letters picked without replacement from yykuyykokyjkkjoukkk?
5/969
What is prob of picking 1 y and 2 c when three letters picked without replacement from {q: 2, y: 3, d: 4, s: 3, n: 1, c: 3}?
9/560
Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {h: 2, s: 1, v: 1, n: 4}.
3/14
Four letters picked without replacement from {y: 10}. What is prob of picking 4 y?
1
Three letters picked without replacement from {d: 1, p: 3, y: 1, s: 2, v: 4, j: 4}. What is prob of picking 1 d and 2 s?
1/455
Three letters picked without replacement from ymmummtttui. Give prob of picking 1 m, 1 i, and 1 t.
4/55
Four letters picked without replacement from ffffff. Give prob of picking 4 f.
1
What is prob of picking 2 j and 1 g when three letters picked without replacement from {y: 5, g: 2, q: 4, j: 2}?
1/143
Three letters picked without replacement from ggqqgggqqq. What is prob of picking 3 q?
1/12
Two letters picked without replacement from {w: 17, c: 1}. Give prob of picking 1 c and 1 w.
1/9
Four letters picked without replacement from {h: 3, p: 7, o: 2, q: 4, y: 1}. What is prob of picking 1 y, 1 q, and 2 p?
3/85
What is prob of picking 3 t when three letters picked without replacement from {t: 4, g: 3}?
4/35
Two letters picked without replacement from hvhchvhidhhvhvh. Give prob of picking 2 v.
2/35
Two letters picked without replacement from zzpsspszssszzpp. Give prob of picking 2 p.
2/35
What is prob of picking 2 t when two letters picked without replacement from tctctcttctctt?
14/39
Four letters picked without replacement from {c: 3, m: 12, u: 2}. What is prob of picking 3 m and 1 c?
33/119
Two letters picked without replacement from {k: 1, g: 5, x: 12}. Give prob of picking 1 k and 1 x.
4/51
Four letters picked without replacement from nifttfiiitninit. Give prob of picking 1 n, 2 i, and 1 f.
6/91
Three letters picked without replacement from hvakusa. Give prob of picking 1 s, 1 v, and 1 a.
2/35
What is prob of picking 1 q, 1 e, and 1 r when three letters picked without replacement from {q: 13, e: 1, r: 3}?
39/680
Two letters picked without replacement from rwrrrwrrr. What is prob of picking 2 r?
7/12
What is prob of picking 3 x when three letters picked without replacement from xxxjjxx?
2/7
Four letters picked without replacement from hxxpppyyppypxhrxy. Give prob of picking 2 x, 1 h, and 1 p.
18/595
Two letters picked without replacement from vvvvvffvvvvvv. Give prob of picking 2 f.
1/78
Three letters picked without replacement from {m: 1, a: 3, p: 3}. What is prob of picking 3 a?
1/35
What is prob of picking 3 u when three letters picked without replacement from {z: 4, d: 4, u: 3}?
1/165
What is prob of picking 1 o and 2 r when three letters picked without replacement from ororrr?
3/5
What is prob o | {
"pile_set_name": "DM Mathematics"
} |
- 5*x - 202, -4*x + 93 = 5*d - 139. Calculate the greatest common factor of d and q.
24
Suppose 0 = -3*i - 2*i. Suppose -4*x + 174 + 78 = i. Calculate the highest common factor of 9 and x.
9
Let b = -6 - 140. Let s = 290 + b. Let o be (s/(-90))/((-1)/5). What is the highest common factor of 2 and o?
2
Let g(t) = 4*t + 2. Let a be g(-3). Let f be (-8)/10 - 218/a. Suppose 3*u - 4*i - 226 - 14 = 0, -177 = -2*u - 3*i. What is the highest common factor of f and u?
21
Suppose -14*k = w - 15*k - 8, 4*w - 3*k = 28. Calculate the greatest common factor of 34 and w.
2
Suppose 10 + 26 = 4*f. Let p = 419 + -320. Calculate the highest common divisor of f and p.
9
Let j be 9 + (1 + 3)/(-1). Suppose 0 = 2*g + j - 117. What is the greatest common factor of g and 21?
7
Let m be (-2)/(-4)*6 - (-681)/3. Calculate the highest common divisor of 20 and m.
10
Let c be (-4)/6*(5 - 3)*-3. Let o be 4/8 + 142/c. Calculate the highest common divisor of 48 and o.
12
Let r = 2 + 31. Let v(l) = -l**3 + 3*l**2 + 3*l. Let d be v(3). Suppose -d - 2 = -z. What is the greatest common divisor of r and z?
11
Let l be 9/(-15) + (-6)/(-10). Suppose l*a = -5*a + 40. Suppose -2*k - 2*b - b = 1, k + 4*b + 3 = 0. What is the highest common divisor of a and k?
1
Let o(n) = -n**2 - 11*n - 20. Let c be o(-8). Let d be 1/c - ((-127)/4 - 0). What is the greatest common divisor of 48 and d?
16
Let s(p) = 10*p**2 - 34*p - 163. Let u be s(-8). Calculate the highest common divisor of 7 and u.
7
Suppose -22*l + 561 = 11*l. Calculate the highest common factor of l and 51.
17
Let j(y) = -y + 25 - 3 - 3*y + 5*y. Suppose -2*x = -3*r - x - 38, 2*r = 3*x - 16. Let b be j(r). What is the greatest common divisor of 2 and b?
2
Suppose -490 = -2*v - d, 36 = -d + 38. Calculate the highest common factor of 183 and v.
61
Let s = -1 - 1. Let q be 1/s + (-174)/(-12). Suppose -2*i + 4*r = -20, -i + 22 = 4*i - 3*r. Calculate the greatest common divisor of i and q.
2
Suppose 5*o - 5*k = -20, 0 = o + 2*k - 6 - 2. Let s be (1*-33)/(-3) - o. What is the greatest common factor of 22 and s?
11
Let p be 8 + -4 - (-40)/5. Suppose 4*y - p = 0, -5*w + 4*y - y + 36 = 0. Calculate the highest common divisor of w and 81.
9
Let b(h) = -2*h**3 + h**2 - 7*h + 14. Let y be b(0). What is the greatest common factor of 5 and y?
1
Suppose 7*i + 6 = 8*i. Suppose 0 = 8*m - 15 - 1. Calculate the greatest common factor of m and i.
2
Suppose -296 + 8 = -2*c. What is the highest common divisor of 216 and c?
72
Let a be 6/(-10) + 63/5. Let h(k) = 6*k + 6. Let o = -15 + 17. Let y be h(o). What is the highest common divisor of a and y?
6
Suppose 0 = 5*s + 44 - 29. Let q be s + 1 - 10/(-1). Suppose -5*n + h = 2*h - 99, -2*h - 42 = -2*n. Calculate the greatest common factor of q and n.
4
Let l(s) be the first derivative of 1/2*s**2 - 2 + 3*s. Let h be l(4). Calculate the highest common divisor of 21 and h.
7
Suppose -16 = -2*h + 2*w, -3*h = -5*w - 16 + 2. Let n(u) = -u**2 + 28*u - 6. Let l be n(h). Calculate the highest common factor of 27 and l.
27
Suppose -31 = -5*p - 1. Let z(y) = p - 2*y - 14 + 9. Let m be z(0). Calculate the greatest common factor of 8 and m.
1
Let l(h) = -2*h**2 + 19*h + 31. Let d be l(10). Suppose -5 = -2*q + d. Calculate the greatest common divisor of q and 13.
13
Suppose -206 - 214 = -5*j. Suppose -14*b - j = -17*b. What is the greatest common factor of 70 and b?
14
Suppose 3*q + u - 63 = -2*q, 2*u = 3*q - 30. Suppose 3*m + 2*w - q = -2*w, 3*m - 18 = -2*w. Calculate the greatest common divisor of 16 and m.
8
Let k be 0*1*(-4)/8. Suppose k = 6*j - j - 45. Suppose 3*a - 72 = -j. What is the greatest common factor of a and 231?
21
Let v be 4/22 - (-9 - (-19881)/(-99)). Suppose -20 = 3*k - 110. What is the highest common divisor of k and v?
30
Let r(f) = -4 + 1 - 2 + f. Let j be r(8). What is the greatest common divisor of j and 33?
3
Suppose 0 = 4*n - 15*n + 264. Calculate the greatest common factor of n and 66.
6
Suppose 8*i - i = 0. Suppose 18*c - 21*c + 39 = i. What is the greatest common factor of c and 117?
13
Let v be 7 + -7 - (-3)/1. Suppose -4*b - v = -7*b. Let t be b/(-2)*(-90 + -2). Calculate the highest common factor of 115 and t.
23
Let y = 9 + -6. Suppose -5*j = y*i + 15, 5*i = -6*j + 3*j - 9. Let h be -1 - (1 + i)*-85. Calculate the greatest common divisor of 21 and h.
21
Let z = -208 + 216. What is the greatest common divisor of z and 4?
4
Suppose -2*q - 5 = o, q + 3*o - 3 + 18 = 0. Let b = 8 - q. Suppose 12*w - 180 = b*w. What is the greatest common factor of 5 and w?
5
Suppose -z - 268 = -295. Let d be (1 - -44)*4/10. Calculate the greatest common factor of d and z.
9
Suppose -40*y - 930 = -70*y. Suppose f - 58 = -3*i + 30, 3*i - 2*f = 103. What is the highest common divisor of y and i?
31
Suppose -5*k + i + 429 = 0, -26*k = -29*k - 2*i + 247. Let q(b) = 5*b + 2. Let w be q(3). Calculate the highest common factor of w and k.
17
Suppose 0 = 12*y - 6087 + 807. What is the greatest common divisor of 40 and y?
40
Suppose -6*f + 30 = -3*f. Suppose 8*u = 6*u - 230. Let c be 2/12 - u/30. What is the greatest common factor of f and c?
2
Suppose -s - 4*s + 10 = 0. Let v(r) = -7 + 7 + 0 + 15*r**s. Let o be v(-1). What is the highest common factor of o and 75?
15
Suppose 5*s = 4*s + 2. Let t be 1/((2/5)/s). Let q be (1/(-1))/(1/(-5)). Calculate the greatest common divisor of q and t.
5
Let p(j) = j**2 - 21*j + 0*j**2 + 7 + 5*j**2 - 4*j**2. Let s be p(11). What is the greatest common divisor of s and 6?
6
Let g(q) = q**3 + 3*q**2 - 5*q. Let f be g(-4). Let j(h) = f*h + 5 + 2 - 17. Let u be j(5). What is the highest common factor of u and 40?
10
Let s be 11/44 + 1/(-4) - -18. Calculate the greatest common divisor of s and 3636.
18
Let j be (2 - (-30)/(-12))/(2/(-24)). What is the greatest common factor of j and 24?
6
Let g(b) = -b**3 + 9*b**2 + 10*b + 10. Let x = -9 - -19. Let c be g(x). Let t = 9 - 7. Calculate the highest common factor of t and c.
2
Let q be 1 - (-11)/(55/90). Let n be 36/270 - 6266/(-30). What is the greatest common divisor of q and n?
19
Let p = -11 - -19. Let k be ((-6)/p)/(4/(-192)). Calculate the greatest common factor of k and 12.
12
Suppose 2*v + 2*g + 26 = 8, -4 = -g. Let d be (2/(-3))/(4/(-144)). Let w = d + v. What is the highest common divisor of w and 11?
11
Suppose -4*a - k + 21 = -41, 47 = 3*a + k. Suppose 2*x = -76 + 286. Calculate the highest common factor of a and x.
15
Suppose 0 = -5*i - 0*i, -4*t = -2*i - 284. Suppose -2*j + t = -91. What is the highest common divisor of j and 9?
9
Let j be ((-6)/(-8))/(6/40). Suppose 0*x + 2*x + 4*l = 92, 4*x = -j*l + 181. What is the highest common factor of x and 110?
22
Let i = -152 + 161. Suppose x = -i*x + 2080. Calculate the greatest common factor of 16 and x.
16
Suppose -d - 3*w - 4 = 0, 2*d + 6*w - 3*w = -2. Suppose l + y - 4 = 0, 5*l + 2*y + d = 34. Calculate the greatest common factor of l and 24.
8
Let v be (-41)/(-4) + (-6)/(-8). Let r be (7 + -6)*(15 + 0). Suppose 2*m - r = 29. What is the highest common divisor of m and v?
11
Suppose -s = 33 - 83. Let c be (-5 - -5)*2/4 - -20. Calculate the highest common factor of s and c.
10
Suppose 0 = -6*a - 3*a + 45. Let l(p) = p - 1. Let b be l(a). Calculate the greatest common divisor of b and 12.
4
Let l be 2*((-12)/8 + 3). Suppose -c - 4 = -2*f, -l*f + 4*f - 3 = 0. Calculate the greatest common divisor of c and 1.
1
Suppose -643*l = -656*l + 4563. What is the highest common factor of l and 39?
39
Let v = -5 + 15. Suppose -234 = -5*i + 316. What is the highest common factor of v and i?
10
Suppose 0 = -3*t - 4*m + 184, 5*t + m - 225 - 59 = 0. Let h = -15 + 16. Suppose y + h - 9 = 0. Calculate the highest common divisor of t and y.
8
Let x = 44 + -65. Let y = x - -31. What is the highest common divisor of 2 and y?
2
Let h = 4 + -4. Let q = h - -8. Suppose 0 = 6*t - q*t + 36. What is the greatest common factor of 6 and t?
6
Suppose 0 = -z - 3 - 51. Let c be z - 1 - (-15 - -12). Let g = -36 - c. What is the greatest common divisor of 4 and g?
4
Let l be 10/(-2)*1058/(-230). Calculate the greatest common divisor of l and 1403.
23
Let o(v) = 2*v**2 - 47*v + 108. Let x be o(21). Calculate the greatest common divisor of 8 and x.
1
Let z be (-7 - -16) + -3*1. Suppose 0 = z*r - 0*r - 54. What is | {
"pile_set_name": "DM Mathematics"
} |
x**2 - 3*x. What is the tens digit of g(2)?
0
Let f be ((-1)/2)/((-2)/24). Suppose -f*t = -t - 15. Suppose 3*i = -t*p - 0*p, 3*p = 4*i - 7. What is the units digit of i?
1
Suppose -y + 3*q = -0*q - 14, 2 = 5*y + 2*q. What is the units digit of y?
2
Suppose 6 = -2*y - y. What is the units digit of 2/(y/(-1))*13?
3
Let v be -24*1/((-4)/(-2)). Let x(j) = -j**3 - 18*j**2 - j - 26. Let f be x(-18). Let a = f - v. What is the units digit of a?
4
Let a be 2 + -1 - (-4 + -1). Suppose -4*q + a + 2 = 0. Suppose -q*x = 2*l, 2*l + 2 = 4*x + 4*l. What is the units digit of x?
1
Let n(d) = 13*d - 7. Let i(h) = -25*h + 13. Suppose -2*q - 2*w + w + 18 = 0, 5*w - 13 = -3*q. Let c(s) = q*n(s) + 6*i(s). What is the units digit of c(-1)?
8
Let r = 61 - 38. What is the units digit of r?
3
Let q be 4/14 + (-36)/(-21). Let g(k) = 1 + 3*k - k - 4*k**2 + 3*k**3 - 2 - q*k**3. What is the units digit of g(4)?
7
Let a(q) = -2*q**3 + 11*q + 23 - 11*q + q**3. Let p be a(0). Let v = 32 - p. What is the units digit of v?
9
Suppose 68 = -5*p + 293. What is the units digit of p?
5
Suppose -2*o - o = 6. Let b = 11 - 0. Let h = b + o. What is the units digit of h?
9
Suppose v - 28 - 3 = 0. What is the units digit of v?
1
Let z = -3 - -3. Suppose z = -0*v - 2*v + 4. Suppose v = l + 1. What is the units digit of l?
1
Suppose 101 = 5*c - 489. What is the units digit of c?
8
Let q = 3 - -2. Suppose 4*z = q*z - 6. Let m(y) = -y**2 + 6*y + 8. What is the units digit of m(z)?
8
Suppose 3*w - 9 = -3. Suppose 2*l - 4 = w. What is the units digit of l?
3
Let n(f) = f - 1. Let w be n(2). Suppose w - 66 = -5*p. Let a = p - 1. What is the units digit of a?
2
Let x be (-4)/6 + 136/6. Suppose 31 = -u + 3*d + d, 5*d + x = -u. Let s = 50 + u. What is the units digit of s?
3
Let x = 14 + -24. Suppose 3*f = 2*i - 38, 5*i - 67 - 7 = -3*f. Let a = i + x. What is the units digit of a?
6
Suppose 2*m + 13 = -7. Let u = 22 + m. What is the tens digit of u?
1
Let j(u) = 5*u**2 - u - 1. Let z be j(-2). Suppose 2*g = z - 5. What is the units digit of g?
8
Let x(k) = 16*k**2 - 50*k - 30. Let t(o) = 3*o**2 - 10*o - 6. Let b(u) = -11*t(u) + 2*x(u). Let p be b(10). What is the units digit of 1/(-3) + 104/p?
7
Let j(y) = y + 4. Suppose 4*q = 3*a - 19, 2*q - 4 + 16 = 2*a. Suppose -15 + 0 = -a*o. What is the units digit of j(o)?
7
Let f(d) = d - 4. Let i be f(-4). What is the units digit of (-3 - 1)*6/i?
3
Let m(h) = 35*h**2 + 2*h + 1. What is the tens digit of m(-1)?
3
Let m(v) be the first derivative of -v**2/2 + v - 1. Let u be m(-2). Suppose 4*a = -2*r + 14, -u*a - r + 11 = -0*a. What is the units digit of a?
4
Suppose 3*m = 5*k + 259 - 1179, 4*m = -3*k + 552. What is the units digit of k?
4
Let n = 19 + -14. Suppose -n*v = -5 - 45. What is the tens digit of v?
1
Suppose 0*h + 3*x + 9 = 4*h, 5*h = -3*x + 18. Let y = h + -1. What is the units digit of (-9)/6 - (-19)/y?
8
Let k(f) = -f**3 + 10*f**2 - 10*f - 9. What is the units digit of k(8)?
9
Let u(z) = -z + 3. Suppose 3*p + 0*p - 4*x - 15 = 0, 8 = 5*p - x. Let d(h) = 1. Let r(q) = p*u(q) - 2*d(q). What is the units digit of r(-3)?
4
Let m(r) = r**2 + 4*r - 53. What is the units digit of m(-20)?
7
Suppose 5 - 2 = -b. What is the units digit of b/6 + 93/6?
5
Suppose 0*x - 3*x + 33 = 0. What is the tens digit of x?
1
Suppose 4 + 7 = -2*x + 5*z, -7 = -2*x - z. Suppose -5*u = -b - 19, -4*b - x*u = 2*u + 4. Let a = 0 - b. What is the units digit of a?
4
Let m(t) = 10*t**3 - t. Suppose -3*p - 2 = -5. Let i be m(p). What is the units digit of 22/6 - (-3)/i?
4
Let y be (4 + -2 - -5)*8. What is the units digit of y/2*3/2?
2
Let u = 74 + -48. What is the units digit of u?
6
Let i be (-2)/(-7) - 10/(-14). Let j be i/((-2)/3 - -1). Suppose -j - 25 = -4*q. What is the units digit of q?
7
Let t = -50 - -65. What is the tens digit of t?
1
Suppose 5*r + 2*f + 17 = 0, 0*f + 5 = -2*r + f. Let h = 6 + r. What is the units digit of h?
3
Suppose -3*f = -7*f - 76. Let z = 30 + f. What is the tens digit of z?
1
Let s(r) = 2*r**2 - 2*r + 0*r + 6*r + 1. Let j be s(-4). Suppose 3 = -k + 2*h + 6, 2*h + j = 3*k. What is the units digit of k?
7
Suppose 0 = p + 3*p - 140. What is the units digit of p?
5
Suppose -l + 19 + 2 = 0. What is the tens digit of -9*(l/(-9) - -1)?
1
Suppose 4*u = 93 + 31. What is the tens digit of u?
3
Let x(g) = g**2 + 5*g + 1. Let v(d) = d - 5. Let m be v(7). Suppose -m*c + 20 = -6*c. What is the units digit of x(c)?
1
Let o(j) = 3 + 7 - 3 + 2*j. What is the units digit of o(12)?
1
Suppose -15 = -t + 5*s, 0 = 5*t - 3*s + 2*s - 27. Suppose f + f = y - 5, -23 = y + t*f. What is the units digit of (0 + (-5)/3)*y?
5
Let g = 7 + 7. Let x = g - -9. What is the tens digit of x?
2
Let p(c) = 8*c - 1. Let m be p(-2). Let s(i) = i. Let y be s(-1). Let o = y - m. What is the units digit of o?
6
Suppose -n + 15 - 1 = 0. Suppose 0 = 5*s + n + 11. What is the units digit of (7 - 2)*(-5)/s?
5
Let j(g) = g**3 + 4*g**2 + g + 1. Let n be j(-3). Let w = n + -3. What is the units digit of w?
4
Let n be 1/((-16)/(-5) + -3). Suppose -n*z = -2*r + 48, 2*r - 6 = -3*z + 26. What is the tens digit of r?
1
Suppose g - 34 = -8. What is the tens digit of g?
2
Suppose -2*h - 2 = -4. Let y = 5 - h. What is the units digit of y?
4
Let n(f) = -2*f**2 - f**2 + 1 + 2 - 11*f + 4*f**2. What is the units digit of n(11)?
3
Let u(y) = -9*y + 19. What is the units digit of u(-15)?
4
Let y(c) = -c**3 - 3*c**2 + 2*c. Let r be y(-3). Let i = r - -9. Suppose i*a - a - 12 = 0. What is the units digit of a?
6
Suppose c - 4 = -2*k + 5, -3*k - 5*c + 17 = 0. Suppose -2 = l + k. What is the units digit of (-4)/6*l/4?
1
Let v(a) = a. Suppose -4*t = -3*q + 37, 3*t + 9 = 4*q - 3*q. Suppose -4*s + q = s. What is the units digit of v(s)?
3
Let y(k) = 12*k**2 - 3*k - 2. Let o be y(2). Let b = o - 23. What is the units digit of b?
7
Let f = 85 - 59. Suppose -5*t + 81 - f = 5*h, -4*h + 54 = 2*t. What is the tens digit of h?
1
Suppose -4*r - 4*k = -336, k - 80 = -r - k. What is the units digit of r?
8
Let y(j) = 2*j - 7. Let x be y(8). Suppose 2*z - 25 = x. What is the units digit of z?
7
Let n(c) = c**2 + 3*c. Let w be n(-4). Suppose 0 = 3*o + w*g - 31, 5*o + 3*g - 37 = -0*g. What is the units digit of o?
5
Let f = -5 - -3. Let t be 20/(-6) - f/6. Let n(m) = m**3 + 4*m**2 + 2*m - 1. What is the units digit of n(t)?
2
Let u = 16 - 35. Let s = 33 + u. What is the tens digit of s?
1
Let s(f) = 41*f - 2. What is the units digit of s(4)?
2
Suppose -596 = -46*u + 42*u. What is the units digit of u?
9
Let d(u) = 20*u**2 - 8*u - 8*u**2 - 13*u**2. What is the tens digit of d(-6)?
1
Let k = -206 - -310. What is the units digit of 2/7 + k/28?
4
Let o(q) = -q + 10. Let t be o(7). Suppose l = 5*r + 27, -t*l + 27 = -l - r. What is the tens digit of l?
1
Suppose 3*k + 12 = 7*k. Suppose 0 = k*b - 30. What is the tens digit of b + (-1 - 1*-2)?
1
Let s = 0 - -6. Suppose 3*f - s = -0. What is the units digit of (f - 4)*9/(-2)?
9
Let f be 14*(13/(-2) + -3). Let i = f + 189. What is the units digit of i?
6
Let x(d) = 71*d**3 + 2*d**2 - 3*d + 1. Let i be x(1). Let f = 123 - i. What is the tens digit of f?
5
Suppose 4*c + 768 = 4*o, 3*o - 159 = -4*c + 424. What is the hundreds digit of o?
1
Suppose 3*c = -2*w + 2*c + 8, -4*c = 8. Let g(p) = 2 + 11*p - 3 - w*p - p**2. What is the units digit of g(4)?
7
Let h = -5 - -9. Suppose 3*o = 5*o - h. What is the units digit of o?
2
Let o(q) = -q**3 - 12*q**2 - q - 7. Let f be o(-12). Let c = f + 2. What is the units digit of c?
7
What is the tens digit of (-2475)/(-27) - (-1)/3?
9
Let k(i) = -i**3 - 3*i**2 + 4*i - 4. Let a be k(-4). Suppose -5*h = -38 - 22. Let t = h + a. What is the units digit of t?
8
Suppose 2*q - 18 = 2*h, 4*h = -4*q + 11 + 9. Suppose 10*d - 39 = q*d. What is the tens digit of d?
1
Let p(j) = -2*j. Let l be p(-2). Let d(a) = -a**2 + 3*a + 5. Let w be d(l). Suppose i + w = 2. What is the units digit of i?
1
What is the units digit of (-18)/(-5) + 12/(-20)?
3
Let x(a) = -a**3 + 9*a**2 + 3. Let n be x(9). Suppose y + 3 = n*i - 7, -5*i = 3*y - 12. What is the units digit of i?
3
Let d = 1 - 1. Suppose d*i - 2*i = 2*h - 6, -9 = 2*h - 3*i. Suppose 5*a - 33 - 22 = h. What is the units digit of a?
1
Let d be 78/2 - (3 - 1). Suppose 5*j + d = m, 2*j + 35 = m - j. What is the units digi | {
"pile_set_name": "DM Mathematics"
} |
olve -i - n*i - 6 = 0 for i.
-2
Let f be (-4)/(-26) + (-304)/(-52). Suppose 4*u + f = x + 58, -2*u + 32 = x. Solve -1 = -3*r + u for r.
5
Let z(v) = v + 3. Let k be z(-3). Solve -u + 0 - 3 = k for u.
-3
Let z be (-4 - -2 - -2) + 3. Solve z*s + 14 = 2 for s.
-4
Suppose 4*d = 8, 2*i + 2*d - 12 = 10. Suppose 3*g + p = i, -g + 3*g - 2*p - 14 = 0. Solve -g = -4*t + 4 for t.
2
Suppose 4*i - 2*k - 30 = 0, 3*i - 3*k - 19 - 2 = 0. Suppose -2*m - 14 = -2*l, -3*l - 5*m = l + i. Solve 5*z - l = 2 for z.
1
Let l be ((-282)/9)/((-2)/3). Let d = l + -31. Solve j = -3*j + d for j.
4
Let p be (-4)/(-26) + (-3)/(117/6). Solve p = -d + 4*d for d.
0
Let k(n) = -n - 4. Let v be k(6). Let a = 2 + 8. Let l be (-4)/v + 16/a. Solve l*j + 16 = 6*j for j.
4
Let s = -14 - -25. Suppose -s*x = -6*x. Solve -6 = -x*u - 3*u for u.
2
Let x = 3 + -1. Suppose -x*q + 15 = q. Solve q = w + 1 for w.
4
Suppose 4*u = i + u - 10, 4*i + 3*u = 10. Solve 2*z + i = -4 for z.
-4
Suppose 5*k + 4 = -3*d, -4*k = 3*d - d + 2. Solve 0 = i + k for i.
-1
Let i = 17 + -31. Let q = 17 + i. Solve 4*z - q = 9 for z.
3
Let c(q) = q**3 - 3*q**2 - 6*q + 11. Let g be c(4). Solve -w = -g - 0 for w.
3
Let x be (225/(-30))/((-2)/4). Solve 0 = d - 6*d - x for d.
-3
Suppose 9 + 33 = 3*h. Let j = 20 - h. Solve -j*v - 12 = -2*v for v.
-3
Suppose -k + 5*k = 0. Solve 0 = 4*r - k*r - 20 for r.
5
Suppose -4 = 4*n - 16. Let q be 1 + -3 + (-6)/(-1). Suppose q*r = 6 + 6. Solve n*y + 6 = -r for y.
-3
Suppose -7*b + 3*b = -0*b. Solve 0*z - 4*z = b for z.
0
Let d = 15 + -10. Suppose x - d*x = -8. Suppose 2*h = 2*o - 14, 4*h + h = -x*o. Solve -25 = o*t - 5 for t.
-4
Suppose -3*l + 2*p = -6*l + 20, 2*l - 3*p + 4 = 0. Solve -n = n + l for n.
-2
Suppose l + 3*j = -0*l + 15, l = 5*j - 25. Solve l*s + 15 = 3*s for s.
5
Let f = -5 - -8. Suppose -f*i = 3*l - 15, 5*i + l - 25 = 2*l. Solve -w = -i*w for w.
0
Suppose -12 = -0*w + 2*w. Let n be ((-18)/w)/(3/2). Solve 0 = n*i - 12 + 2 for i.
5
Suppose 0 = 5*c + 15, -3*o - 5*c + 2*c = 9. Let h be 38/14 - (-2)/7. Solve -h*s + 6*s - 12 = o for s.
4
Let x = 3 + -2. Suppose 3*p - 14 = -5*w, p + 2*w = 4 + x. Let k be -1*1 - (-6 + 1). Solve k*q - p*q + 5 = 0 for q.
-5
Suppose 4*u - 6*u = -50. Suppose 4*n = -4*g, 3*g + u = -2*g. Let q(m) = m**2 - 2*m - 5. Let o be q(n). Solve 3*a = a + o for a.
5
Let f = 33 - 24. Solve f = -2*d + 1 for d.
-4
Suppose -7 = 7*y - 70. Suppose 2*l - y*l + 28 = 0. Solve l*u + 4 = -8 for u.
-3
Suppose -3*m - 5 = -4*m. Suppose -m*i = -0*i. Solve 2*g = -i - 4 for g.
-2
Let t(c) = -c + 5. Let s be t(0). Let f be (2 - 1)*(s + -3). Solve 1 + 7 = -f*j for j.
-4
Let y = -35 - -41. Solve -y = -3*j + 9 for j.
5
Suppose -4*r = -b, 2*b = -r - 6 - 3. Let t be 6/(-6)*(0 + b). Solve 4*f + 20 = t for f.
-4
Let n = 7 - 5. Suppose -1 = k - n. Let x be 1*(k + -2)/(-1). Solve 0 = 2*c + x - 7 for c.
3
Let n be -7 + 3 + 7 + -3. Solve 0 = z - n*z - 1 for z.
1
Let i(o) = o**3 - 6*o**2 + 6*o. Let b be i(5). Solve -b*w = -w + 16 for w.
-4
Let a = -29 + 17. Let q be 1/6 - 34/a. Solve q*x = 2 + 10 for x.
4
Let r = 1 - -2. Suppose v = r*j - 2, 0*j - 4*j = -4*v + 8. Suppose -1 = j*s - 3. Solve -6 = q - s for q.
-5
Let v be 0 + -2 - (-4 - 2). Suppose -s - 16 = -2*s. Suppose -2*h - 5*k + k + 8 = 0, 0 = 2*h - 4*k - s. Solve -6 - h = -v*q for q.
3
Let x = -1 - -5. Suppose -4*q + q = -x*n - 20, 4*q + 5*n - 37 = 0. Let k = -68 + 68. Solve 3*r - q*r - 10 = k for r.
-2
Let i be 48/9 + 3/(-9). Solve -3*x = -i*x for x.
0
Suppose -4*c = 2*h - 0*h - 14, 3 = 3*h - 3*c. Solve 2*j + h*j - 20 = 0 for j.
4
Suppose -u + 1 - 2 = -2*r, u - 1 = r. Let p = -1 + u. Let f be (p - 1)/(2/10). Solve f*a = a for a.
0
Let t(n) = -2*n - 11. Let l be t(-8). Let q be (-432)/(-10) - 1/l. Suppose -3*y - 6 = j - q, 2*j + 10 = 0. Solve 0 = 5*f - y + 4 for f.
2
Suppose 2*d + 2*d = 24. Suppose 0 = 5*n - 9 - d. Let s = -22 + 34. Solve 3 = n*a + s for a.
-3
Suppose 8*d - 16 = 16. Solve d*l - 15 = l for l.
5
Suppose 0*t + 37 = -5*j - 4*t, 0 = -5*j + t - 47. Let c(h) be the third derivative of h**4/24 + 11*h**3/6 + h**2. Let x be c(j). Solve o = -x*o for o.
0
Suppose -5*q = -q. Let t(i) = -i**3 + 4*i**2 - i - 2. Let x be t(3). Suppose x*v = 3*c + 14, c + 2 = -v + 9. Solve -b + q - c = 0 for b.
-2
Let l = -3 - -8. Suppose -2 = 4*j - l*k, -k = -3*j - 3*k + 10. Solve z = -j + 3 for z.
1
Let q = 24 - 4. Suppose 4*c + q = 2*r + c, 2*r + 3*c = -4. Solve b + b - r = 0 for b.
2
Let x be (-2)/10 - 16/(-5). Let q be 10/x - (-4)/6. Suppose -2*f - 5*l = 10, -3*l + l - q = -5*f. Solve 2 = -b - f for b.
-2
Let c(l) = -l**2 - 5*l + 1. Let x be c(-4). Let i be (2 - (x - 0)) + 5. Solve 4*q - i*q = 6 for q.
3
Let n be 5 - (-2 + -2 + 8). Solve -c + 0 - n = 0 for c.
-1
Let p(f) = f**3 - 5*f**2 + 4*f - 2. Let r be p(3). Let o = r - -8. Solve -4*a + 17 - 1 = o for a.
4
Let c(j) = j**2 - j + 2. Let g be c(0). Suppose 3*r + 2*r = 25. Solve g*i + 5 = -r for i.
-5
Let i be ((-3)/4)/(1/(-4)). Solve -i*t + 8 = -t for t.
4
Suppose 4*t + 4*m - 1 = 3, 5*t - 25 = 5*m. Let f be 8/t - 12/18. Solve -2*d + 8 = -f for d.
5
Suppose 2*z + 3*z = 20. Suppose 5*s - z = -4*n, -4*s + 5*n = s + 5. Solve 2*i + 1 + 1 = s for i.
-1
Suppose 5*p - 15 = c - 4*c, 12 = 4*p - 2*c. Suppose 5*y + 2 = 4*k, -y + p*k - 7 + 0 = 0. Solve -y*r + 4 = -4 for r.
4
Let d(r) = r**3 - 5*r**2 + 2*r - 8. Let k be d(5). Solve -k*v + 12 = 2 for v.
5
Let q be 12/30 + (0 - 4/10). Solve 3*i = -q + 12 for i.
4
Let m = -4 - -6. Let p(h) = -h**3 + 3*h**2 + 1. Let v be p(3). Solve -m*q = -1 - v for q.
1
Suppose 5 = 3*t - u, -u + 15 = 2*t + 5. Solve -6 = 3*p + t for p.
-3
Suppose 0 = -4*q - 38 + 102. Solve 4*p - 4 = q for p.
5
Let g = 27 - 25. Solve -1 - g = -3*v for v.
1
Let f be (-4)/12*(-101 + -1). Suppose -q = -2, 3*p + 9 - f = -2*q. Suppose 3*x = p + 5. Solve -x*n = n for n.
0
Suppose -5*p - 1 = 2*u, 4*u - 7 = -0*p - p. Let b be (-1)/3 - 125/(-15). Suppose b = 5*i - 3*k, 2*i - 3*k + 8 = i. Solve 0 = i*r - u - 2 for r.
1
Suppose 5*q = -2*i - 2*i + 18, 0 = 4*q + 3*i - 14. Let r be (-2)/8 + 218/8. Solve 5*s + r = q for s.
-5
Suppose -28 = -4*l + 4*s, 2*s + 3 = 4*l + 3*s. Suppose -w = -l*b - b + 12, -b + 11 = 2*w. Solve -w*g + 4*g + 4 = 0 for g.
-4
Suppose 0 = -3*j - 3*v - 9, -3*j - 3*v = -v + 5. Let h = 14 + -10. Let q(g) = g**3 - 5*g**2 + 7*g - 5. Let p be q(h). Solve 2*k = j + p for k.
4
Suppose 3*x - 6 = 3. Let p be (1 - 0)*2/(-2). Let t = 2 + p. Solve -x*o = -11 - t for o.
4
Let a be -3 + 4 + -3 - -5. Let d = -1 + a. Solve -d*z + 4 = 2 for z.
1
Let q be 4*(3 + 21/(-6)). Let y be (q/(-6))/(5/90). Solve 3*s - 3 = y for s.
3
Let q(s) = -s**2 + 10*s - 8. Let r(h) = 9*h. Let a be r(1). Let l be q(a). Solve -2*y + 3 - l = 0 for y.
1
Let l be 6/(-9) - 14/(-3). Suppose -l*p = -9*p + 15. Solve 4*z = p*z for z.
0
Let j be 25/(-10)*16/(-20). Solve j*v + 0 = -8 for v.
-4
Suppose 2*z = 13*z - 44. Solve -1 = -x - z for x.
-3
Suppose 0 = 2*l - 4*v - 5 + 1, -4*v = -3*l + 6. Suppose -3*f = -l*f + 5. Let h be f/5*-5*1. Solve -4*d + h = -3 for d.
2
Suppose 0 = 2*j + 5*n - 70, 0*n + 2*n = 0. Let h be (2 + -1)/(7/j). Solve 0 = -h*f + 3*f - 8 for f.
-4
Suppose -h = -3 - 0. Solve 1 = n + h for n.
-2
Suppose 2*s = 6*s - 48. Let u = -10 + s. Solve -2 = u*z - 10 for z.
4
Let j be -3*((0 - 2) + 1). Solve j*s + 12 = -s for s.
-3
Let g be (-4)/(-8)*(-1 - 3). Let j(o) = -o**2 + 2. Let b be j(g). Let t be 1 + 0 + (-4)/b. Solve 8*p = t*p - 15 for p.
-3
Let y be (-136)/(-36) - 4/(-18). Suppose -y*g = -0*g - 4. Solve -n - g + 3 = 0 for n.
2
Let t = -27 + 35. Solve t*z = 4*z + 16 for z.
4
Let f = 3 - -1. Suppose -6*a = -f*a - 16. Solve -3*i = -a*i - 25 for i.
-5
Let r be 5/3 - (4/6 - 1). Solve 0 = r*z - 6 - 4 for z.
5
Let n(p) = -p + 5. Let d(a) = 3*a - 16. Let q(b) = -2*d(b) - 7*n(b). Let h be q(3). Solve h = -i - i for i.
0
Let n = 6 - 4. Let v = 12 - 12. Solve v = -n*t + 3*t + 5 for t.
-5
Let i = 32 - 25. Solve -i = 5*z + 3 for z.
-2
Let k(d) = -5*d**3 - d**2 + 1. Let f be 1*15*(-3)/(-9). Suppose -10 = 3*s + 4*v + 1, 4*s + 14 = -f*v. Let i be k(s). Solve 0 = x - i*x for x.
0
Suppose -4*n + r = 6*r + 13, -32 = -4*n + 4*r. Suppose 5*o - 104 = -2*i + 9, 3*i - 4*o - 112 = 0. Let j = i + -24. Solve -2*b - n*b = j for b.
-4
Let b(m) = m**2 - m. Let f be b(-1). Solve -f*j + 5 + 5 = 0 for j.
5
Suppose 0 = -5*r + 8*r - 6. Solve -r*z = -z - 2 | {
"pile_set_name": "DM Mathematics"
} |
1?
4471306
In base 12, what is -6ab + 1081b?
10130
In base 7, what is 51464253 + -6?
51464244
In base 2, what is -11101010001011 + 11110010?
-11100110011001
In base 9, what is 1772820 + 41?
1772861
In base 6, what is 140053341044 - 5?
140053341035
In base 12, what is -5 + 1aa7624?
1aa761b
In base 3, what is -1120221 - 1111112?
-10002110
In base 9, what is -2500 - 76830?
-80430
In base 12, what is 738 + -43a7?
-386b
In base 10, what is 1584 - -246506?
248090
In base 3, what is 1212 - 1120120112011?
-1120120110022
In base 6, what is -12554 - -54?
-12500
In base 15, what is b70 - 127?
a48
In base 16, what is -3719 - 232f?
-5a48
In base 2, what is -10101100011101011011010 - 0?
-10101100011101011011010
In base 16, what is -52 - 75d96?
-75de8
In base 2, what is -101100001111101011010 - 1?
-101100001111101011011
In base 3, what is 100011211012212 + -11?
100011211012201
In base 5, what is 312 + 124430?
130242
In base 5, what is 203211334224 + 10?
203211334234
In base 12, what is a60a + 434?
aa42
In base 2, what is -101 - -10110111000110101100101?
10110111000110101100000
In base 11, what is -9 + -375a31?
-375a3a
In base 14, what is -10a38 + dd?
-10939
In base 13, what is -10 + -4aa8a?
-4aa9a
In base 13, what is -b51 + -a258?
-b0a9
In base 13, what is 10b096a0 + -1?
10b0969c
In base 15, what is 1775421c + -1?
1775421b
In base 8, what is 20 - -14351322?
14351342
In base 12, what is -12362 + 213?
-1214b
In base 11, what is -4 + -3075314?
-3075318
In base 13, what is 8 + 125796?
1257a1
In base 16, what is -10a - -ca1?
b97
In base 9, what is 1884081 + 41?
1884132
In base 12, what is 65565504 + 2?
65565506
In base 11, what is 40442 - a3?
4034a
In base 7, what is 15330020 + 130?
15330150
In base 13, what is -430 + 85b9?
8189
In base 3, what is 2 + 11021120101212?
11021120101221
In base 9, what is -77 - 154620?
-154707
In base 4, what is -30312121 + 2102?
-30310013
In base 4, what is -1033001003 - -211?
-1033000132
In base 7, what is 20 - -12663535?
12663555
In base 13, what is c9b7 - -164?
cb4b
In base 5, what is 4 + -24230012244?
-24230012240
In base 10, what is -3 - -1058514?
1058511
In base 14, what is -533a484 + 5?
-533a47d
In base 5, what is -4 + -142404030?
-142404034
In base 14, what is 763 + -6a9?
98
In base 13, what is -2c785 - -9?
-2c779
In base 4, what is -221021311122 + -23?
-221021311211
In base 9, what is -1005 + 60168?
58163
In base 13, what is 3282 - 11b0?
20a2
In base 15, what is -9bc12 + -11?
-9bc23
In base 15, what is 460 - -b1d3?
b643
In base 12, what is -604 + -a07?
-140b
In base 5, what is -31042231412 + -22?
-31042231434
In base 9, what is 55 - -403551?
403616
In base 2, what is -1011100010 - -11111101111011?
11110010011001
In base 12, what is -1a26 + -1543?
-3369
In base 3, what is -1221 - -11211122220020?
11211122211022
In base 11, what is -172 - 19826?
-19998
In base 9, what is -3 - -200168442?
200168438
In base 2, what is -100100111011110 + 10100010?
-100100100111100
In base 2, what is 100001010111000 + 10101101011111?
110111000010111
In base 2, what is -100000010010011001 - -1001?
-100000010010010000
In base 12, what is 23 - -17839b?
178402
In base 7, what is 1030254 + -24?
1030230
In base 11, what is 5a81 + 3414?
9395
In base 11, what is -a + -3063020?
-306302a
In base 11, what is 35166474 + -17?
35166458
In base 5, what is -104113300 + -14?
-104113314
In base 14, what is -1b8a8 + 4b5?
-1b3d3
In base 13, what is 325784c - 1?
325784b
In base 16, what is -4 - 3ce057?
-3ce05b
In base 3, what is 22120221112111121 - -11?
22120221112111202
In base 10, what is 155 + 1671707?
1671862
In base 14, what is -a + -21659a?
-2165a6
In base 9, what is -8654 - 33456?
-43221
In base 10, what is 365912 - 2449?
363463
In base 9, what is 28544 + 3084?
32638
In base 16, what is cc - 9f2?
-926
In base 2, what is -1110101111100100 + -10100?
-1110101111111000
In base 13, what is -137c2a6 + 4?
-137c2a2
In base 7, what is 4205 - 15626?
-11421
In base 10, what is 135 - 1215660?
-1215525
In base 10, what is 13501348 - 1?
13501347
In base 11, what is -19822 - -974?
-18959
In base 9, what is -163385 + -78?
-163474
In base 7, what is 336315330 - -2?
336315332
In base 4, what is 1 - 112222123113?
-112222123112
In base 14, what is 27d54a2 - -9?
27d54ab
In base 9, what is -53044 - 55?
-53110
In base 11, what is 384a9a + 17a?
385169
In base 4, what is 2202130202301 - 10?
2202130202231
In base 10, what is 863 - 14146?
-13283
In base 4, what is -3 + 2112000322012?
2112000322003
In base 15, what is edd - -5191?
617e
In base 12, what is -467 - 1217a1?
-122048
In base 5, what is 22004 - 2010?
14444
In base 12, what is a02a - -100?
a12a
In base 5, what is 1131214033343 - -1?
1131214033344
In base 10, what is -3 + -76639964?
-76639967
In base 15, what is 420869d + b?
42086a9
In base 6, what is 242555 - 50?
242505
In base 8, what is -4635774 + 12?
-4635762
In base 12, what is -114 - -81557?
81443
In base 6, what is 22402211 + -4100?
22354111
In base 13, what is -8 + 2359c11?
2359c06
In base 4, what is -12 - 110110221?
-110110233
In base 11, what is -297a59 + 0?
-297a59
In base 11, what is 4a2 - -1092a9?
1097a0
In base 15, what is 7 + -b871e2?
-b871da
In base 16, what is -b5 - -1091?
fdc
In base 7, what is -65 + 1545411?
1545313
In base 6, what is -3133 + -2450500?
-2454033
In base 6, what is 44012231 - -31?
44012302
In base 2, what is 101000110000010111000001110011 + -10?
101000110000010111000001110001
In base 13, what is -5ab230 - -35?
-5ab1c8
In base 7, what is 15 - -32623401?
32623416
In base 15, what is 2779cb + -2?
2779c9
In base 16, what is -3522 + -608?
-3b2a
In base 10, what is 22 - 3579530?
-3579508
In base 14, what is 28 + 9232b?
92355
In base 12, what is -20506 - -2507?
-19bbb
In base 16, what is 1382a6e - -5?
1382a73
In base 13, what is 119c91 - 147?
119b47
In base 3, what is 101012201020121 - -2?
101012201020200
In base 2, what is 10010000111100 - 1000110001?
10001000001011
In base 13, what is 1 - -2c2c88?
2c2c89
In base 2, what is -111010100000011101010000 - 1?
-111010100000011101010001
In base 6, what is 20135542 - 2033?
20133505
In base 12, what is -51 + 17173?
17122
In base 15, what is -30b - -1065?
c59
In base 2, what is -1000000010000100101101 - -101?
-1000000010000100101000
In base 2, what is 100111 - 1000011100011100001000?
-1000011100011011100001
In base 4, what is 1 - -30102012320312?
30102012320313
In base 16, what is -4c828d + -e?
-4c829b
In base 6, what is -124210 - 205501?
-334111
In base 7, what is 50432 - -461?
51223
In base 13, what is -387 - -1aca?
1743
In base 16, what is -aca9d1b - -3?
-aca9d18
In base 5, what is -224 - 22224404?
-22230133
In base 4, what is -2310333020 + 12?
-2310333002
In base 11, what is -3a + 139730?
1396a1
In base 12, what is 2 + 1b0383a2?
1b0383a4
In base 16, what is -4 + 1b279e05?
1b279e01
In base 3, what is -102021111010 + -220?
-102021112000
In base 6, what is -100 + 30125312?
30125212
In base 12, what is -104b55415 + 1?
-104b55414
In base 5, what is -2011 - -110340330?
110333314
In base 9, what is 266711 - -11?
266722
In base 2, what is 101 + 11010110001101010000010?
11010110001101010000111
In base 11, what is 3048a102 + 1?
3048a103
In base 16, what is -31 - c7244?
-c7275
In base 14, what is 3dc2d + -105?
3db28
In base 10, what is 9401324 - -3?
9401327
In base 16, what is -66b0 + -21d?
-68cd
In base 12, what is 1 - -520452?
520453
In base 8, what is -321613 + -1404?
-323217
In base 2, what is 1101 - -1011110010001011110010101?
1011110010001011110100010
In base 15, what is -28d573d - -2?
-28d573b
In base 4, what is 1221 - -2013203010?
2013210231
In base 9, what is 40 - -15353713?
15353753
In base 3, what is 2002022201222 - -1?
2002022202000
In base 4, what is -103320211220 + -1?
-103320211221
In base 6, what is 313205551 - 223?
313205324
In base 13, what is 7b10796 + 5?
7b1079b
In base 8, what is -404017762 - 5?
-404017767
In base 10, what is 26 + 68920?
68946
In base 10, what is -2882298 - 51?
-2882349
In base 7, what is 13155 + -23502?
-10314
In base 3, what is -10 + 1011122002022222?
1011122002022212
In base 10, what is -606671 - 21?
-606692
In base 11, what is -752610 + 0?
-752610
In base 2, what is -1001001 + 11011110000100110101110?
11011110000100101100101
In base 16, what is -3 - 713ab?
-713ae
In base 11 | {
"pile_set_name": "DM Mathematics"
} |
y (b**(-31)/((b**(20/9)*b)/b*b)*(b**(-4))**(-3/5))**38 assuming b is positive.
b**(-54416/45)
Simplify (((m/(m*m**(-6))*m/(m/((m*m**0)/m)))/((m*m**(5/6))/m**(-1/2)))**(-7))**(-8/3) assuming m is positive.
m**(616/9)
Simplify ((o**(-3)*o/o**5)/(o*o**(3/7)*o*o**0))/((o/(o**(-1)*o))**(-21)/(o/o**(1/2)*(o*o**7)/o)) assuming o is positive.
o**(267/14)
Simplify (f**(-1)*(f/(f*f**42)*f*f*f)/f*((f**(-8/3)/f)/f)**18)**(18/11) assuming f is positive.
f**(-2250/11)
Simplify (n**9/(n*n/(n/(n*n*n/n**(-1/7)))))**46/(n**8/(n*n/n**(-4/7)))**(29/3) assuming n is positive.
n**(3590/21)
Simplify ((l/(l**(2/19)/l)*l*l*l/l**(-3/2))/(((l/l**7)/l)/l**(1/8)))/((l/(l*l**(-2)/l))**(-7/6)*l**2*l/(l**(3/5)*l)) assuming l is positive.
l**(11871/760)
Simplify c*((c/(c*c/(c*c**(-21)))*c*c)/c)/c*c*c*c**42*(c**(-40)/c)**(8/3) assuming c is positive.
c**(-256/3)
Simplify ((a*a/(a/a**0)*a)**32/(a**(-4/5)/a*a/(a*a*a*a**(6/5)*a)))/(((a/(a/a**3)*a)/(a*a/a**0))/(a**(-1))**44) assuming a is positive.
a**24
Simplify (((v/(v/((v*v*v/(v/((v*v/(v/v**37*v)*v)/v))*v*v)/v)))**(-6))**(-17/2))**(-1/12) assuming v is positive.
v**(-170)
Simplify (y**7*y/y**3)/(y/(y**0*y)*y**(-1/3))*((y/(y*y**(-4)))/(y/y**(-7)))/((y*y**(-1/5))/y**(-7)) assuming y is positive.
y**(-97/15)
Simplify ((x**9*x)/x*x**(1/4))**(-17)/(x**(-5)/(x*x**5/x*x))**(1/3) assuming x is positive.
x**(-1843/12)
Simplify (f/(f*f*f**7)*f**(-1))/(f**(2/7))**(2/81)*(f*f**(-1))**(-15)*(f*f**(-1)/f)**(-46) assuming f is positive.
f**(20975/567)
Simplify ((x/(x/x**(1/2)))/x**(2/19))/(x/(x*x*x/(x*(x**2/x*x)/x))*x**(-6))*x*x**(-2/5)*x**(1/9)*(x/(x/(x**(-1)/x))*x)**(6/19) assuming x is positive.
x**(11611/1710)
Simplify ((w*w/(w**19*w*w))/(w/w**(1/40))*(w*w/(((w*w**(-8)/w)/w)/w))/w**(-9))**34 assuming w is positive.
w**(697/20)
Simplify ((y**(-1/4)*y)/y**(-1/6)*y**(4/5)/y**(-6))/(((y**(1/4)*y)/y*y)/(y**(-1/5)*y*y)*y**2*y*y**(-1/7)) assuming y is positive.
y**(568/105)
Simplify (((k**2)**(-14/9)*k**(-2/11)*k*k**(-10))**8)**(-6/7) assuming k is positive.
k**(19472/231)
Simplify ((s**(1/5)*s*s/s**(2/5))/(s**(1/2)*s*s)**(-33/2))/((s**(1/4))**(-24)*s**1/s**(-3/4)) assuming s is positive.
s**(473/10)
Simplify ((a/(a*a**(-12)*a))**(5/12)*(a*a/(a/(a*a**(3/31))))/(a*a**(-40)))**44 assuming a is positive.
a**(186923/93)
Simplify (j**22*j**26*j*(j*j**(-1/3))/(j/((j/((j**23*j)/j*j))/j)))**(-10/13) assuming j is positive.
j**(-740/39)
Simplify (((g*(g/(g/g**(-3/8)))/g*g*g**(-1/4)*g)**3)**47)**5 assuming g is positive.
g**(7755/8)
Simplify (m**1)**36/(((m*m/(m**6/m))/m)/((m*m*m**(2/19))/m*m))*m**(-3/4)/(m*m**(-1/11)/m)*(m**0/m)**(-6/19) assuming m is positive.
m**(34913/836)
Simplify ((a/a**(1/8))**(-13)/((a**(-10)/a)/(a/(a*(((a**(-1/3)/a*a)/a)/a)/a))))**(-47) assuming a is positive.
a**(-3337/24)
Simplify (w**(-1))**(1/18)*(w**(1/3)*w)/(w/w**(-2/9))*(w*w/(w**3*w)*w**1/w)**(-34/5) assuming w is positive.
w**(1229/90)
Simplify (n**(-6)*n**(-1/4)*n*(n/n**(-1/3))/((n*((((n*n**(8/5)*n)/n)/n)/n)/n)/n))/((n**2)**24*(n**(2/5))**(15/4)) assuming n is positive.
n**(-3181/60)
Simplify ((s/s**(1/2))**(-47)/(s**(-2/11)*s**(-3)))/((s/s**(-5/3)*s*s*s**(2/7)*s)/(s/(s**(1/3)/s)*s**(3/4))) assuming s is positive.
s**(-7347/308)
Simplify ((z**(-1)*z)**(-11/2)*(z/z**(-2))**(-1/42))**(-2/15) assuming z is positive.
z**(1/105)
Simplify (k**11*k**(-1/11)*(k/(k*k/((k**11/k)/k*k)*k))/k*k/(k*k**(-14)))**29 assuming k is positive.
k**(10179/11)
Simplify ((c*c**(2/7))/c*c*c)**34*c**(-1)/c*c**(-7)*c*c**(-1/3)/((c*c**(-1/2))/c)*(c*c**(-2/11))/(c/((c**(3/8)/c*c)/c*c*c*c*c)) assuming c is positive.
c**(135041/1848)
Simplify ((a**(2/9)*a*a)**(-5/7))**(-47)/(((((a/(a*a**(6/7))*a)/a)/a)/a*a**(-3/7))/(a/a**(-1/4))**(2/125)) assuming a is positive.
a**(35059/450)
Simplify ((((r**5/r*r)**(-1/2))**50)**1)**38 assuming r is positive.
r**(-4750)
Simplify (i/i**(-6/11))**0*(i/((i*i/(i**34*i*i))/i))**(1/53) assuming i is positive.
i**(36/53)
Simplify (z/(z/(z/((z/((z*z**0)/z))/z))))**(-1/3)/(z*z**1)**(-21)*(z*z/z**(-6)*z*z**(5/2))**9 assuming z is positive.
z**(871/6)
Simplify ((m**(2/3))**(-16/3)*(m**(2/17)*m)/m*m*m/m**(-6))/(((m/(m*m/(m**(-1/7)*m))*m*m)/m)/(m*m**(-5)*m*m)*m**(-2)/(m*m**(-5)/m)) assuming m is positive.
m**(-1387/1071)
Simplify (h/h**28)**48/((h/(h/(h*h*h*h**(2/13))*h*h))/h**(-27)) assuming h is positive.
h**(-17214/13)
Simplify ((r**(-2/7))**(-19)/((r**(1/3)*r)/((r**2*r)/r)))/((r**(-1))**(21/2)/((r**0/r*r)/r)**0) assuming r is positive.
r**(697/42)
Simplify (y**(-2/9)*(y**(-1)*y*y)/y)**(-25)*((y**(-3)*y)**(-7))**39 assuming y is positive.
y**(4964/9)
Simplify ((p**(-1/3)/p)/p*p)**43/((p*p**(-1)*p)/(p*p**6))*((p*p/(p**(-10)*p)*p*p)/(p**(-1/4)*p*p))**(3/7) assuming p is positive.
p**(-3907/84)
Simplify (x/(x*x**(-35)*x))/(x**21*x)*(x**(-1/49)*x)**(-3/14) assuming x is positive.
x**(4044/343)
Simplify (z/(z*z**(1/7))*(z**5*z)/z*z**(-1/2)*(z*z/z**(-7))/z)/(((((z/z**(-2/9)*z)/z)/z*z)/z**(-1/7))/(z*z/((z**(1/4)/z)/z)*z)**22) assuming z is positive.
z**(7276/63)
Simplify (k*k*k*k**45*k*k*k)**(-1/37)*(k**19)**46 assuming k is positive.
k**(32287/37)
Simplify (((k**(-9)*k)/(k*k**0))/(k*k**9*k/(k*k**7*k)))/(k**2/(k/k**3)*(k**(-1))**14) assuming k is positive.
1/k
Simplify ((k**(-1/4))**(5/11)/(k*(((k*(k/(k/k**(1/2)))/k*k*k*k)/k)/k)/k*k**(4/5)))/((k*k**(-2))**(24/11))**29 assuming k is positive.
k**(13389/220)
Simplify ((l**12/(l/((l/(l/l**(-34)))/l)))/((l/(l**4*l)*l)/(l*l**6)))**35 assuming l is positive.
l**(-490)
Simplify ((g**29/((g**18*g)/g))/(g**21*g**21*g))**(-30/13) assuming g is positive.
g**(960/13)
Simplify ((f**0)**10)**(-48)*((f*(f/((f/(f*(f**(-2/5)*f)/f))/f))/f)/f*f)**(-2/27)*f**(-1/5)/f**(-2/7) assuming f is positive.
f**(-31/945)
Simplify ((o/(o/(((o*o**(-1))/o*o)/o*o)))**39)**13/(o**(4/3)/o*o*o**(4/9)*(o*o**(-6))/(o/(o**(-2)/o))) assuming o is positive.
o**(65/9)
Simplify (((o/(o*o*o**(-5/6)*o))/o*o**(-28))/((o*o*(o/(o*o/(o*o**43*o*o*o)))/o)/o*o**(2/13)/o*o*o*o))**(-7) assuming o is positive.
o**(42763/78)
Simplify ((p/(p*p/(p*p**(-5/2)*p)))/p**(3/7)*(p*((p**(-3)*p)/p)/p*p*p)/(p/(p/p**(-1/3))*p))/(p**(11/2)/(p*p**11))**(1/2) assuming p is positive.
p**(-29/84)
Simplify (x**(-3/11)/(x*x**15*x))**6/((x*x**(-2))**(2/47)/(x/(x**1*x)*x**(-1/3))) assuming x is positive.
x**(-162742/1551)
Simplify ((j/(j*j/(j*j/j**12*j)))/j**(-11))**(-5/13)/((j*(j**3*j)/j*j**(-2))/(j**(2/9)/(j**(-1/7)/j))) assuming j is positive.
j**(-835/819)
Simplify v/v**(-6)*v*v**(2/3)*(v**1)**(-6)*(v*(v/(v*v*v**1))/v)**(-3/29)*v**(1/2)/v*v*v**(-1) assuming v is positive.
v**(413/174)
Simplify (u*u*u**(2/21)*u/u**(-10/11)*(u*u**(-1)*u)/u**(1/7))**33 assuming u is positive.
u**(1123/7)
Simplify ((s/s**(2/7))**(-7/12)/((s*s**1*s)/(s**(1/2)/s)))/((s**1*s)**(-17)/((s/(s/(s/(s/(s**(-1/4)*s)))))/(s*s**(-3)))) assuming s is positive.
s**(197/6)
Simplify d**(2/11)/(d**(-4)*d)*(d/(d**(-2/7)*d))**(3/7)*d**3/d**(1/2)*(d**1)**(-16) assuming d is positive.
d**(-10991/1078)
Simplify (a**(2/7)/(((a/(a/(a/(a*a*a/a**(-7)))))/a)/a))**49*(a**(-1/2))**44/(a**(-2/3)/a)**(4/9) assuming a is positive.
a**(14357/27)
Simplify (((k*(k/k**2)/k*k)/(k*k*k*(k/(k/(k**6/k)))/k)*k**(-4)*k**(-2)*k)**(4/17))**(-22/7) assuming k is positive.
k**(1056/119)
Simplify (v**(-2)/(((v/(v**(-2/9)*v))/v)/v)*(v*v*v/(v*v/(v**(-1)/v)))**(8/3))/(v**0*v*v**(1/12)*(v**(-1)/v)**(-2/35)) assuming v is positive.
v**(-5149/1260)
Simplify (w*w**(5/12)*w)/(w**(-43)/w)*w**(11/7)/w**31 assuming w is positive.
w**(1427/84)
Simplify (q*q*q**(1/2)*q/(q*q*(q*q**(-2/17)/q)/q))**(-28)/((q**(-3/2)/q*q*q)/(q*q**5)*(q**(-2/7))**(-46)) assuming q is positive.
q**(-19025/238)
Simplify (u**(-2/9)*(u**(-2/23)/u)/u*(u/(u**(3/2)*u*u)*u)/u**3)/((((u**(-7)*u)/u)/(u**6/u))/(u**(3/4)/(u**(2/13)*u*u*u))) assuming u is positive.
u**(29999/10764)
Simplify (((b/b**(-1))**(-47)*((b/(b/(b/(b**2*b))))/b*b)**(9/8))**(-16/3))**(1/45) assuming b is positive.
b**(308/27)
Simplify ((j**0*j**(-2/3))/(j**(-2/75)/j**(-7/5)))**(5/3) assuming j is positive.
j**(-17/5)
Simplify ((d*d*d/(d/d**0))**(2/61)/(d**(-1)*d*(d*d**(-7))/d*d*d*d))**(-30) assuming d is positive.
d**(-7440/61)
Simplify ((g**(-1/6)/(((g**0/g)/g)/g))/(g**(-5)*g*g**(-2/3)))/((g**(-1/2))**2)**(15/4) assuming g is positive.
g**(45/4)
Simplify (c**19*c)**(-2/7)*c**(-2/9)/c**(-27) assuming c is positive.
c**(1327/63)
Simplify (((((m/ | {
"pile_set_name": "DM Mathematics"
} |
to three decimal places.
0.007
Suppose 0 = -t - 4*d + 10, -3*t = -5*t + 5*d - 19. Let w = 6 + t. Suppose -15 = c - 3*z, -2*c + w*c = -5*z - 63. What is c rounded to the nearest 10?
-20
Let m(a) = -2*a**2 - 11*a. Let g be m(-5). Suppose 0 = r + 2*f - g*f + 56, 4*f = r + 59. Round r to the nearest 10.
-50
Suppose -3*f = -72 - 120. Let p = 15 + -24. Let h = f + p. Round h to the nearest 10.
60
Let p = 1153 - 1152.9183. What is p rounded to three dps?
0.082
Suppose w - 4*g - 2018 = -623, -4*w - g + 5580 = 0. Let t = -6307 + w. Let i = t - 4088. Round i to the nearest ten thousand.
-10000
Let w(i) = -i**2 - i + 13. Let b be w(0). Let c = b + -8. Suppose -2942 = -5*x - 4*d, x + 5*d = c*x - 2370. Round x to the nearest one hundred.
600
Suppose -5*a - 149 = 21. Let u = a + 35. Let k be -2 - u/1 - 46. Round k to the nearest 10.
-50
Let w(l) = -2*l + 5. Let z be w(5). Let o be (1 + 4)*3/z. Let a be -66 + (0/o)/(-1). Round a to the nearest ten.
-70
Suppose -z - 1421866 = z. Let u = -343480 - z. Suppose u = -v - 2882547. Round v to the nearest one hundred thousand.
-3300000
Let s = 178.216 - 178. Round s to 1 dp.
0.2
Let z(v) = 8*v**3 - 8*v**2 - 8*v - 21. Let i be z(9). Let k = i - 3031. Round k to the nearest one hundred.
2100
Let l = 4.43 + -9.64. Round l to the nearest integer.
-5
Let g = 4 - 0. Let h(w) = -8971*w - 6. Let z(i) = 17941*i + 11. Let s(m) = -5*h(m) - 2*z(m). Let l be s(g). What is l rounded to the nearest one thousand?
36000
Let b = 4.085 - 1.18. Round b to one decimal place.
2.9
Let m = -133734621 + 94704621. Round m to the nearest one million.
-39000000
Let w = 43.9 + -44.171. Let a = 2545520 - 2545519.7290119. Let n = a + w. Round n to six dps.
-0.000012
Let v be 5 + (-1 - (5 - 7)). Let g be (-43196)/v + (-30)/45. Round g to the nearest 1000.
-7000
Let b = -37260.132891 - -37873.27461536. Let i = b + -575.141723. Let g = -38 + i. Round g to seven decimal places.
0.0000014
Let y = -605943 + 605943.07000082. Let g = 2.93 - 3. Let q = g + y. Round q to 7 decimal places.
0.0000008
Suppose 17 = b - 19. Let t be (-384)/b*150/(-4). Let m = t - 269. What is m rounded to the nearest 10?
130
Let f = 39 - 33. Suppose 5*n - 225015 = 3*v, f*v + 374997 = v - n. Round v to the nearest 10000.
-80000
Let o = -5.8 + 4.84. Let s = o - -0.16. Let f = -0.7955 - s. What is f rounded to three dps?
0.005
Let a = 1.042 - 1.037926. What is a rounded to 4 decimal places?
0.0041
Let q(p) = -10*p - 2. Let b be q(-1). Suppose -3*f - b = -f, 2*v - 5580 = -5*f. Round v to the nearest one hundred.
2800
Let l be -1752500*1/((-5)/(-20)). What is l rounded to the nearest 100000?
-7000000
Let k = -221.879 - -222. Let x = k - -0.409. Round x to one dp.
0.5
Let d = -2.743 + 2.746152. What is d rounded to 5 dps?
0.00315
Let v = 3004.47 - 3027. Let t = 0.47 - v. Let g = t - 23.22. Round g to 1 dp.
-0.2
Let y(r) = -3*r**3 - 14*r**2 + 7*r + 4. Let a be y(-11). Let l = a - 6136. What is l rounded to the nearest 100?
-3900
Let u = -223.7 + 237. Let x = u - 13.259. What is x rounded to two decimal places?
0.04
Let p = -0.06518958 + -11.93490242. Let g = 80 + -68. Let r = p + g. What is r rounded to 5 decimal places?
-0.00009
Suppose -9*v + 133745 + 241555 = 0. Round v to the nearest ten thousand.
40000
Let g be (378/15)/((-6)/20). Let h(d) = d**3 + 22*d**2 + 13*d - 5. Let f be h(-21). Let w = g + f. Round w to the nearest ten.
80
Let o = -271 - -271.0419. Round o to two dps.
0.04
Let g(r) = r**3 + 3*r**2 + 2*r - 2. Let n be g(-2). Let m be n + 3 + 1 + -16802. Round m to the nearest 1000.
-17000
Let m = -692777.80093 - -692549.8. Let f = m - -228. Round f to 4 decimal places.
-0.0009
Let u be -2 + -82900 - (9 + -11). What is u rounded to the nearest ten thousand?
-80000
Let h(p) = -13701*p**2 + 5*p + 14. Let m be h(-2). Round m to the nearest 1000.
-55000
Suppose -2*x + 2*z + 4449 = 3*z, -3*x + z + 6661 = 0. Suppose -3*i + 12 = i. Suppose 2*a - 4*k = -0*a + 1484, i*a = 2*k + x. Round a to the nearest 100.
700
Let m = 0.0461846093 + -4.9461840293. Let f = m - -4.9. What is f rounded to seven dps?
0.0000006
Let m = 31064 - 21764. Round m to the nearest 1000.
9000
Let b = 17.9 - 180.4. Let u = 162.3431 + b. Let d = -0.149 - u. What is d rounded to 3 decimal places?
0.008
Let u be -3 - (-1195 - 0) - (-12)/(-3). Round u to the nearest 100.
1200
Suppose 269678 - 819672 = 4*w - 2*h, 2*h = -4*w - 550006. What is w rounded to the nearest 10000?
-140000
Let y(r) = 4372*r - 288. Let i be y(4). Round i to the nearest 1000.
17000
Let a(z) = 4648*z - 8. Let y(x) = x - 11. Let p be y(7). Let c be a(p). Let q be (-200)/((-4)/c*-1). Round q to the nearest 100000.
900000
Let j = 376 + -259. Let y = -458.84001 - -575.8405. Let d = j - y. Round d to 4 decimal places.
-0.0005
Let l = 3222.00002813 - 3222. Round l to 6 decimal places.
0.000028
Let p = -205.36 - -3.36. Let y = p - -201.9747. Round y to 3 decimal places.
-0.025
Let t = -0.28 - 0.26. Let x = -532418.539961 - -532418. Let z = x - t. What is z rounded to five decimal places?
0.00004
Let n be 10/4*-2 - -4. Let x be (2 - n)/(14/546). What is x rounded to the nearest 10?
120
Let f = 137.21 + -136. Round f to the nearest integer.
1
Let d = 592.00000067 + -592. Round d to six dps.
0.000001
Let f = -3599 + 3599.01601. What is f rounded to 3 decimal places?
0.016
Let t = 16.15 + -16. Let a = 0.339 - t. Round a to two dps.
0.19
Let v(a) = a**2 + 2*a + 2. Let j be v(-2). Let p(h) = 413*h**3 + 669 - 669 - h**2. Let y be p(j). What is y rounded to the nearest one thousand?
3000
Let w = -50.9 + 53. Let i = w + -2.03. Let f = i + 0.067. What is f rounded to two dps?
0.14
Let h = -0.595 + 1.52. What is h rounded to 2 decimal places?
0.93
Suppose c = 6*c. Suppose 48 = 4*h - c*h. Round h to the nearest ten.
10
Let r = 993.999998308 + -994. Round r to seven dps.
-0.0000017
Let p = 0.83000396 + -0.83. What is p rounded to 6 decimal places?
0.000004
Let d = -3017144.99518 - -3017393. Let g = -248 + d. Round g to 4 dps.
0.0048
Let k = -820 + 855.9. What is k rounded to the nearest 10?
40
Let u = 29596.9 + -1111.9. Let r = -28485.032942 + u. Let f = r - -0.033. What is f rounded to 5 dps?
0.00006
Let k = -130 + 129.9256. What is k rounded to two dps?
-0.07
Let d = -87.400006 + 87.4. Round d to 5 dps.
-0.00001
Let m = -83 + 84.26. Round m to 1 dp.
1.3
Let g = 3812 - 3812.03847. What is g rounded to three decimal places?
-0.038
Let v = -16.5396 - -45.5584. Let z = -29 + v. What is z rounded to 3 dps?
0.019
Let j be -5 + 4 - -38 - (-2)/1. Suppose -47*b = -j*b - 2016000. Round b to the nearest 10000.
250000
Let r = -30.57761 + 0.58461. Let j = r - -30. Round j to two decimal places.
0.01
Let x = 70.27 - 69. Let j = x - -0.01. Let f = j - 1.97. Round f to 1 dp.
-0.7
Let o = 90.4 + 1.9. Round o to the nearest 10.
90
Let a = 14907 - 14921.806. What is a rounded to 1 dp?
-14.8
Suppose 0 = 3*f - 7*f - m + 2, -m = 3*f - 2. Let s be (2 - f)/(-1) + 186. Suppose 61 = -2*y + y + 4*x, -4*y + 4*x - s = 0. What is y rounded to the nearest 10?
-40
Let p = -93.1 + 138.8. What is p rounded to the nearest integer?
46
Let b(j) = j - 1. Let t(h) = -244*h + 10. Let r(x) = 5*b(x) + t(x). Let w = -50 - -45. Let f be r(w). Round f to the nearest 100.
1200
Let i = -523.7 - -313.4. Let a = 55 - 257. Let t = a - i. What is t rounded to zero decimal places?
8
Let v(h) = 264*h - 12. Let d(b) = -b**3 + 13*b**2 - b + 8. Let o be d(13). Let j = o + 13. Let w be v(j). Round w to the nearest one thousand.
2000
Let v(c) = c**2 - 4*c - 9. Suppose 3*z + 12 + 3 = 0. Let s be v(z). Round s to the nearest integer.
36
Suppose 11 = -0*v - 2*v + n, 0 = v + n + 7. Let a be 20*v/4*60. Round a to the nearest 1000.
-2000
Let a = 58.0706 - 168.07496. Let t = a + 110. What is t rounded to three dps?
-0.004
Let k = 100.4 - 117. Let a = k - -16.599858. What is a rounded to five dps?
-0.00014
Suppose 5*z - o + 75400004 = 0, 4*o = 4 + 12. Round z to the nearest one million.
-15000000
Let u be 1/(-2) - (-124978)/4. Let j be 9/12 + u/(-16). Let v be 2/3 + j/3. What is v rounded to the nearest one hundred?
-700
Let i = 1323289.5879038 + -6385.5879288. Let g = i + -1316918. Let s = -14 - g. Round s to 5 decimal places.
0.00003
Let g = -0.16943 + 10.50783. Let a = -10.4 + g. Round a to 2 decimal places.
-0.06
Let w( | {
"pile_set_name": "DM Mathematics"
} |
Suppose 3*k + 2*l + 4 = 0, 5*k - 4*l - 30 = -0*k. Let o(r) = 4*r + 53 - 5*r + k*r. Does 53 divide o(0)?
True
Suppose -j - 2*u = -10179, 2*j + u - 21006 = -648. Is j a multiple of 13?
True
Let o = -360 - -367. Suppose 6*x - o*x + 448 = 4*j, -4*x + 1712 = -4*j. Is x a multiple of 72?
True
Let h be (-5990)/60 - (-2)/(-12). Let k be (-60)/50*h/3. Suppose s - k = -s. Is s a multiple of 5?
True
Let r(s) = -55*s + 97. Let v(w) = 58*w - 97. Let m(j) = -3*r(j) - 4*v(j). Does 9 divide m(-12)?
False
Let n(g) = g**3 - 7*g**2 + 3*g - 21. Let x be n(7). Let l be (x + (1 - -4))*(-184)/(-115). Does 7 divide ((-2)/3)/(l/(-1092))?
True
Let c = 48 - 41. Suppose 243 = c*p - 4*p. Let m = 175 - p. Is m a multiple of 47?
True
Is (-54192)/(-17 - -5) - 11 a multiple of 5?
True
Let k(l) be the first derivative of 22*l - 151 + 117 + 44*l + l**2. Is k(-13) a multiple of 4?
True
Let c(q) = -q**2 + 19*q + 19. Let u be c(19). Let d = 189 - u. Does 34 divide d?
True
Let k = 976 + -432. Does 32 divide (-15 + 3)*k/(-12)?
True
Let v(d) = 2*d**2 - 3*d - 10. Let w be v(-2). Suppose -w*t = 2*t - 312. Does 16 divide t?
False
Suppose 161*t = 3*t + 58049 + 41491. Is t a multiple of 21?
True
Suppose -184 = -y + 3*y. Let q = -1682 - -1826. Let s = q + y. Is s a multiple of 13?
True
Let u be 2 + 4016/(-6) + (-3)/(-9). Let a = -435 - u. Let b = a - 113. Is 23 a factor of b?
False
Suppose -355 = -18*h + 13*h. Suppose 0 = -4*d, 2*c = -67*d + h*d + 910. Is c a multiple of 35?
True
Let q = -2933 - -3982. Is 4 a factor of q?
False
Let i = -63 - -72. Let w be 2/((-12)/(-2971)) + i/(-54). Let t = -348 + w. Is 15 a factor of t?
False
Let y(a) = 2*a**3 - 5. Suppose 10*l = 11*l. Let b be y(l). Is (-54)/b + 1/5 a multiple of 2?
False
Let k(f) = -82*f + 6801. Is k(30) a multiple of 14?
False
Let i be (-5)/((-50)/4)*5. Suppose 0 = -4*s + 2*q - 2, 5*s + 2*q - i = s. Suppose -22*j + 28*j - 132 = s. Does 4 divide j?
False
Let p(t) = t**2 + 26*t + 53. Let z be (-17 - (-9)/(-3)) + (-8)/2. Is 2 a factor of p(z)?
False
Let f = 3 + -6. Let d(a) be the second derivative of 3*a**4/4 + 5*a**3/6 + 7*a**2 + a + 507. Does 10 divide d(f)?
True
Let p = -48969 - -76976. Is p a multiple of 34?
False
Suppose -344 = -127*g + 164. Is 4 a factor of g?
True
Does 2 divide ((-6*1/8)/((-21)/1036))/1?
False
Let x(a) = 6*a**2 + a + 111. Is x(-9) a multiple of 21?
True
Let g(b) = 30362*b**3 - 4*b**2 + 17*b - 15. Is g(1) a multiple of 115?
True
Let i(s) = s**3 - 15*s**2 + 97*s - 531. Is i(27) a multiple of 172?
True
Let b = -37238 + 77138. Is b a multiple of 42?
True
Suppose -24715 = -22*s + 57653. Does 26 divide s?
True
Is 54 a factor of (-7386)/(-6) - (2 - -12)?
False
Let i(k) = 33*k + 27 + 0*k**3 + k**2 + k**3 - 22*k**2 - 56*k. Let v be i(22). Suppose 0*z - 225 = -v*z. Is 25 a factor of z?
False
Let k = 62 - 51. Suppose -k*l - 168 = 10*l. Does 14 divide 2/((-8)/(-387)*(-6)/l)?
False
Let s(z) = 199*z - 1089. Does 142 divide s(30)?
False
Let j = -40 + 42. Let g(w) = -w**3 + 3*w**2 - 4*w + 5. Let k be g(j). Does 11 divide k*165/(-20)*-4?
True
Suppose -5*j + 10 = -5*s, 4*s = 5*j - 26 + 11. Suppose 3*a - j*a = -860. Is a a multiple of 10?
False
Suppose -31 = -4*k - 5*n, 5*n - 10 = -5*k + 25. Suppose 182 = -c + 2*c - l, -k*c + 758 = 2*l. Is 17 a factor of c?
True
Let m be 671/99 + (-2)/(-9). Suppose -m*i + 956 = -3*i. Suppose 3*d - i = -p, 6*d - 4*p - 404 = d. Is 16 a factor of d?
True
Let h(t) = 532*t**2 - 60*t - 180. Is h(-3) a multiple of 18?
True
Let h = -15 - -19. Suppose 3*g = -h*a + 271, -3*g = -a - 141 - 125. Is 8 a factor of g?
False
Let p = 4807 - -11648. Is 15 a factor of p?
True
Let o(q) = 2*q**3 - q**2 - 14*q - 35. Let v(d) = -3*d**3 + d**2 + 21*d + 52. Let z(k) = -8*o(k) - 5*v(k). Is z(5) a multiple of 2?
False
Let y(w) = 94*w - 2103. Does 14 divide y(29)?
False
Suppose -255*d = -302*d + 27072. Is 12 a factor of d?
True
Let b = 9152 - -13390. Does 221 divide b?
True
Let n(z) = -31*z + 15. Suppose 59 - 14 = -15*b. Let i be n(b). Let g = -68 + i. Is 10 a factor of g?
True
Suppose -3*f + 8*f = 3*s + 31, f - 15 = 5*s. Suppose -f*c = -3*c - 648. Is 36 a factor of c?
True
Let t = 108376 + -48666. Is 35 a factor of t?
True
Suppose 0 = -5*y + 6*y - 18. Let m be y/(-15)*(-30)/12. Let k(v) = 4*v**2 + 8. Is k(m) a multiple of 11?
True
Suppose 5*s = -0*f + f - 1253, 2*s + 6173 = 5*f. Is 10 a factor of f?
False
Suppose -2*d = 20 + 36. Let i = d + 20. Let a(g) = 3*g**2 + 13*g - 4. Does 14 divide a(i)?
True
Let u(l) = -3*l**3 - 10*l**2 + 5*l + 3. Let z be u(-6). Is (20/8 - 1) + z/6 a multiple of 15?
True
Let z be 66 - -1882 - ((-1 - -1) + -2). Suppose 32*l - 42*l = -z. Is 7 a factor of l?
False
Let c(i) = i**2 - 4*i + 13. Let t be c(8). Let l = 48 - t. Suppose -5*u = -l*z + z - 270, z = 0. Is u a multiple of 8?
False
Let r be (-9)/((-152)/(-32) - 4). Is 16 a factor of (-3081)/(-6) - r/(-8)?
True
Let x(b) = 38*b + 39. Let h be (9/(-3) - -6)*(6 - 3). Let s be x(h). Suppose 0 = -5*m + s + 24. Is 17 a factor of m?
False
Suppose 0 = -y + 66 - 69. Does 42 divide y*(8 - -1042)/(-3)?
True
Suppose 0*z = 14*z - 336. Suppose 2*t - 6*t + 20 = 0, -3*q - 3*t + z = 0. Does 14 divide (-67 - (-5 + q))*-1?
False
Suppose 0 = 10*p - 2*p + 16. Is 13 a factor of 4/p*-269 - (5 - 0)?
True
Let p(r) be the third derivative of r**5/30 + r**4/3 + 187*r**3/6 - 2*r**2 + 10*r. Is p(0) a multiple of 3?
False
Let u(r) = -16*r**3 + 6*r**2 - 2*r - 4. Suppose 4 = 4*i, -5*g + 0 = -2*i - 23. Let t be u(g). Is t/(-56) + 4/(-14) a multiple of 11?
True
Let u(a) = -a**2 + 5*a - 4. Let t be u(3). Suppose t*d - 146 = 42. Let i = d + 56. Does 25 divide i?
True
Let q(i) = -3*i**3 + 37*i**2 + 17*i - 27. Is 3 a factor of q(9)?
True
Suppose -34 = -6*b - 10. Suppose 64 = -b*o - 5*r, 4*r = 3*o + o + 64. Does 22 divide 175 + o/(-2) + -3?
False
Suppose 23 = -7*n + 44. Suppose -26 = -5*v - 11, -5*f = n*v - 1729. Is 17 a factor of f?
False
Suppose -19*y + 23*y - 1576 = 0. Is 3 a factor of y?
False
Suppose 23*d + 10*d = 0. Suppose -4*o + 2424 = -101*j + 105*j, d = -j + 4. Is 8 a factor of o?
False
Suppose t = 23 - 21. Is 37 a factor of (-24)/60 - ((-1657)/5 - t)?
True
Let p(f) = 11*f**2 + f + 24. Let t be p(-6). Suppose -3*c = 2*o + 10, 3*o + 2*c + 17 = -2*c. Does 20 divide 4/14 + o/((-231)/t)?
True
Let x = 361 - 231. Let f = x - 33. Does 9 divide f?
False
Let m = 95084 + -30476. Does 96 divide m?
True
Let t(j) = 51*j + 562. Let o be t(0). Let f = -422 + o. Is 6 a factor of f?
False
Suppose 3*d + 0*c + 484 = -2*c, -d - 166 = 3*c. Does 24 divide (43 - -1)*110/d*-4?
False
Let j = -820 - -825. Does 6 divide (13338/(-65))/(j/(-25))?
True
Let f be 1/((-11)/(-51) - 22/(-187)). Suppose 0 = 5*p - 3*p + f*m - 1411, -2*m - 10 = 0. Does 31 divide p?
True
Suppose -2*m + 0*m + 32 = 0. Let w(l) = 54 - m*l - 28 - 36. Is 14 a factor of w(-5)?
True
Suppose 7*w - 520 = -170. Is 6*(-115)/w*-5 a multiple of 3?
True
Suppose -8 = -7*c + 4*c + s, 0 = 2*c - 2*s. Suppose 990 = w + c*w. Is 11 a factor of w?
True
Let n = 25677 - 17181. Does 12 divide n?
True
Let t = -196 - -279. Let a = t + -56. Is a a multiple of 5?
False
Does 9 divide (-202)/(-303) + (-294125)/(-15)?
False
Let p be (86/(-3))/(8/(-24)). Let u = -212 + p. Is (2/(-4))/(3/u) a multiple of 21?
True
Let l be (-42)/12*(-8)/14. Suppose 3*n - 4 = -n, l*t = -5*n + 19. Is t even?
False
Let j(l) = -525*l - 2443. Is 72 a factor of j(-9)?
False
Let c = 7788 - 4800. Does 9 divide c?
True
Is 11 a factor of ((-11)/3)/(13*(-11)/292149)?
True
Let l = 33407 - 32633. Is l a multiple of 9?
True
Suppose 89*s = 99*s - 20720. Suppose 4*v = -2*j + 2072, 4*v + j = -2*j + s. Is v a multiple of 37?
True
Suppose -6*o + 167 = 791. Is 3 a factor of (o + 3)*(-4)/(4 - 0)?
False
Let v = 16 - 13. Suppose p = -2*a + v + 6, 5*a - 24 = -3*p. Suppose -120 = -9*q + p*q. Does 10 divide q?
True
Suppose -11403 = 22*l - 385535. Is l a multiple of 44?
False
Let t(p) = -p**2 + 6*p + 4. Let r be t(6). Let d be -1*-6*4/r. Suppose 0 = 8*v - d*v - 128. Does 13 divide v?
False
Let i = -30 - -26. Let y be (-6 - -2)/(i/5). Suppose 635 = y*b - 5*d, 0*b - 4*d - 379 = -3*b. Does 43 divide b?
True
Let i be 6/21 + 96/56. Suppose j - 111 = 3*z, 0*j + 2*z + 238 = i*j. Suppose j = 4*s - 397. Does 13 divide s?
True
Is 101 a factor of (-2)/2*(1 + 100)*1184/(-32)?
True
Let k(v) = -v**3 + 5*v**2 + v - 7. | {
"pile_set_name": "DM Mathematics"
} |
. Which is the smallest value? (a) -4/3 (b) g (c) 2 (d) 2/13
a
Let l = 4.997 + 0.003. What is the third biggest value in -5/4, l, -1?
-5/4
Let v = -0.1 - -0.11. Let l = v - -7.99. Let c = -4 + l. What is the third biggest value in -1, c, -2?
-2
Let g = -7/10 + 1/5. Which is the smallest value? (a) 4 (b) -0.2 (c) g
c
Let x = 22 + -37. Let p = x + 14.93. Which is the third biggest value? (a) -4 (b) 0 (c) p
a
Let c(z) = -12*z. Let d be c(8). Let k = 147494/5 - 29594. Let y = d - k. What is the smallest value in 2/5, -0.1, y?
y
Let t = -0.037 - 0.263. Let d(h) = -2*h**2 + 5 + 0*h**3 - 2 - h**3 + 3*h. Let i be d(-2). Which is the smallest value? (a) i (b) t (c) 2/3
a
Let d = -0.07 - -0.07. Let j = d - -0.4. What is the third smallest value in j, 0.1, 5?
5
Let i = 2.6 + 0.4. Let d = -1664/9031 + 2/821. Which is the third biggest value? (a) i (b) d (c) 1/3
b
Let f = -0.07 + 0. Let d = f - 3.93. Let m = -8/49 + 22/735. Which is the biggest value? (a) m (b) -4/5 (c) d
a
Let t = 10 - 23. Let g = -17 - t. What is the smallest value in g, -2/5, -2?
g
Let y = 5 + -3. Let t = 3.86 - -0.14. Let w = t - y. Which is the second smallest value? (a) 1/3 (b) w (c) -2
a
Let n = -3/55 - -131/385. Let h = -7 - -7. What is the second biggest value in 2, n, h?
n
Let r = -5 + 9. Which is the biggest value? (a) r (b) -1 (c) -3
a
Suppose -z - 10 = -2*z. Let n be (0 - -1) + (-2)/z. Let m = -4.3 - -4.6. What is the second smallest value in m, n, -3?
m
Let k = -9 - -25/3. Which is the second biggest value? (a) 0.4 (b) 0.5 (c) k
a
Let p = -196 - -1369/7. What is the third smallest value in 2, -5, p?
2
Let t = 0 + -5. Let o = 5 - 0. Which is the biggest value? (a) -3/2 (b) o (c) t
b
Let f = -29.3 - -14. Let l = 15 + f. Which is the biggest value? (a) -4 (b) 2 (c) l
b
Let d = -6/13 + 68/91. What is the third smallest value in 2, 2/9, -1, d?
d
Let l = 0.01 + 0.09. Let g = -11/72 - -3/8. Which is the third biggest value? (a) g (b) l (c) -6/5
c
Let y = -25.1 - -26. Which is the smallest value? (a) y (b) -0.3 (c) 2/5
b
Let t = -134.1 - -134. What is the smallest value in t, 4/7, 1/2?
t
Suppose -2*x = 4*k - 414, -2*k + 68 + 144 = -4*x. Let p be (-1)/4 + k/544. What is the third biggest value in p, -5, -3?
-5
Let t be 112/882 - (-4)/(-18). Which is the second smallest value? (a) -5 (b) t (c) -2
c
Let y = 6.88 + 0.72. Let o = y + 1.4. Let i = o - 6. What is the smallest value in i, 4, -3?
-3
Suppose 9 = -2*j - j. Let w = -0.5 - -0.3. Let d = 0.2 + w. What is the third smallest value in -4, d, j?
d
Let b be (-4)/(-14) + (-26)/(-7). Let j be (-4)/(-144) + (-1)/b. What is the biggest value in 2/5, j, -2/7?
2/5
Let k be 60/(-9)*6/2. Let q be (3/(-28))/((-5)/k). Let a = 3.16 + -0.16. What is the biggest value in q, -0.1, a?
a
Let a = -1 + 4. Let m = -1173/8 + 147. What is the smallest value in m, a, -4?
-4
Let g = -500869/77 - -6505. Let j = g + -4/7. Which is the biggest value? (a) -0.2 (b) 2 (c) j
b
Let v = 5 + -7. Let d be (v/(-15))/(6/(-20)). Which is the biggest value? (a) -2/9 (b) d (c) -3
a
Let o be -6*(8/(-6) + 2). Let h = 0.402 - -0.098. Which is the third biggest value? (a) o (b) h (c) 0.2
a
Suppose 0 = -2*y + 2*q - q, -2*q - 5 = y. What is the third biggest value in -5, y, 0.07?
-5
Let u = 34.2 - 34. Let f be 3/(-12) + 1 - 1. Which is the smallest value? (a) f (b) 2 (c) u
a
Let t = -33/70 + 1/14. Let z = -1 - -0.7. Let p = z - 0. Which is the second biggest value? (a) -5/6 (b) p (c) t
c
Let v = 21 + -24. Which is the second biggest value? (a) 3/2 (b) -2/3 (c) v (d) -4
b
Let q be 3/(-1) + (-30)/(-12). Which is the smallest value? (a) q (b) -1 (c) -3
c
Let p = -0.4 - 1.6. Suppose 3 = 3*q - 3. Suppose -q*h + 6 = -0*h. Which is the second biggest value? (a) 4 (b) h (c) p
b
Let i = -8.12 - -0.12. Let f = i - -7.5. What is the smallest value in f, 0.5, 0.2?
f
Let m = -112 + 112.4. Which is the biggest value? (a) -8 (b) -3 (c) 1 (d) m
c
Suppose -4*n = -3*h + 12, 0*h + 3*h = -2*n + 12. Suppose m + 4*m = n. What is the second biggest value in -4, 4, m?
m
Let y = 0.1 + -1.6. Let m = y + 1. What is the third biggest value in 1/6, m, -5?
-5
Let u = -247 - -235.3. Let l = u - -12. Let s be ((-7)/3)/((-2)/(-6)). Which is the third smallest value? (a) 2/3 (b) l (c) s
a
Let l = 15 + -8. Let g = l - 7.3. Let h = -5.01 - -0.01. Which is the second smallest value? (a) h (b) g (c) 3
b
Let f(l) = 3*l - 12. Let y be f(3). Which is the biggest value? (a) y (b) -1/8 (c) 1/7 (d) 2/3
d
Let r = 15 + -20. What is the second smallest value in -2, 0.5, r?
-2
Let g = 8.9 - 6.8. Which is the biggest value? (a) 0.1 (b) 1 (c) g
c
Let n = 34.4 + -30. Let x = -3.6 - 0.4. Let s = n + x. What is the second biggest value in 0, s, 1?
s
Suppose 0 = 3*g + 1 + 5. Suppose 0 = -v + 1. Let p be v*(-4 - g) - 0. Which is the third smallest value? (a) 1 (b) p (c) -4
a
Let s = 0.02 + -0.32. Let f = -21 + 11. Let r = f + 6. Which is the third biggest value? (a) r (b) s (c) 0.2
a
Let x = 0 + -1. What is the second biggest value in x, -0.4, -0.5?
-0.5
Let f = 0.78 - 3.78. Which is the second smallest value? (a) f (b) -2/5 (c) 1/4
b
Let g = -7 + 5.5. Let w = g + 2. Let q = -1 + 0.5. What is the second smallest value in -1/3, w, q?
-1/3
Let f = 0.2 + -0.7. Which is the smallest value? (a) 5 (b) f (c) 0.2
b
Let c be (2/(-3))/((-4)/6). Let y be (4 - c) + (-36)/15. What is the smallest value in 0.5, y, -2?
-2
Suppose 14*s = 9*s + 15. Let k = 0.6 - 0.1. Which is the third biggest value? (a) s (b) k (c) 5
b
Suppose 4*w + 8 = 28. What is the biggest value in w, 2, 3?
w
Let d = -3 - 1. Let v = -5 - -3. Let q = -581/429 + 3/143. What is the biggest value in v, q, d?
q
Let y = -0.9 + 5.9. Let m = -16 + 15.6. Which is the biggest value? (a) m (b) y (c) 1/3
b
Suppose 4*m = 7*m + 12. Let v = -17/5 - m. Let k = -24.8 - -21.8. What is the second biggest value in -5, v, k?
k
Let q = -1 - -1.3. Let s = -20 - -41/2. What is the second smallest value in 1, q, s?
s
Let w = 9 - 8.8. Let j = 3.1 - 3. Which is the biggest value? (a) w (b) j (c) -0.3
a
Let n = -70 - -70.2. What is the third biggest value in n, -0.5, 0.4?
-0.5
Let g = 1.1 - 1. Let r = 30 - 19. Let m = -11 + r. What is the third biggest value in g, -3, m?
-3
Let m(t) = 2*t - 1. Let h be m(-1). Let l be 3*2*3/9. Suppose -5*y = 4*w - 5, 5*w - 5*y + 3 = -l. Which is the smallest value? (a) h (b) w (c) 3
a
Let h(u) = 7*u - 6*u**2 + 5*u**2 - 6 + 2*u**2. Let o be h(-6). Let w be (-2 - 21/o)*-1. Which is the second biggest value? (a) w (b) -4 (c) -0.1
c
Suppose -s - 4 = -f, -3*f - 2*s = s - 18. Which is the fourth biggest value? (a) f (b) 3 (c) 3/5 (d) 2/11
d
Let n be (0 - -1)/((-12)/9). Let s be ((-112)/(-12))/4 + -2. Which is the second smallest value? (a) s (b) n (c) 4
a
Let h(n) = -n**3 + 7*n**2 + 9*n - 10. Let p be h(8). Let g(a) = -a**2 + a + 2. Let m be g(p). Let w be 1/m - 30/8. What is the smallest value in -2, w, -0.2?
w
Let n = 2/17 - 23/51. Let g be (-1)/2 - (-15)/14. Let q = -25 - -73/3. Which is the second biggest value? (a) g (b) n (c) q
b
Let w = -0.8 - -4.8. Let q = -5 - w. Let s = q + 13. What is the third biggest value in s, -1/5, -3?
-3
Let v = -7 - -7.3. Let p = 9.4 - 9. Let j = 13 + -13.5. Which is the third biggest value? (a) v (b) p (c) j
c
Let j be ((-5)/(-35))/(6/12). Let v = 0.358 - -1.672. Let a = v + -0.03. What is the third smallest value in a, -3, j?
a
Let x = 0.03 + 4.97. What is the second smallest value in 0.2, -1, x?
0.2
Let x be (0 + 4)/((-14)/(-1141)). Let g = 2611/8 - x. Which is the smallest value? (a) g (b) 3 (c) 2
a
Suppose -4*i = -8*i + 20. What is the second biggest value in -5, 0.1, i, 4?
4
Let m = 0.2 + 0. Let p = -0.6 + 5.6. What is the third smallest value in p, m, -2/9?
p
Suppose 4*w - 3*i + 5*i = -6, 2*w = 4*i + 12. Let n = 10 - 9.59. Let d = n - 0.01. Which is the second smallest value? (a) d (b) w (c) 3
a
Let u = 0 - 5. Let o = u + 6. Let y = 6 - 4. Which is the second biggest value? (a) o (b) -1/2 (c) y
a
Let j(w) = -w + 15. Let r be j(14). Let z be (20/6)/((-6)/(-9)). What is the second biggest value in r, 0.2, z?
r
Let t = -16 + 18. Let g = -0.03 - 4.97. What is the third smallest value in t, -0.4, g?
t
Let | {
"pile_set_name": "DM Mathematics"
} |
o the power of 1/2, to the nearest integer?
1727
What is the cube root of 20096559 to the nearest integer?
272
What is 178720 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 1428912 to the nearest integer?
4
What is the fourth root of 14179 to the nearest integer?
11
What is the eighth root of 10408150 to the nearest integer?
8
What is 160084 to the power of 1/2, to the nearest integer?
400
What is the third root of 10246888 to the nearest integer?
217
What is 885973 to the power of 1/2, to the nearest integer?
941
What is 1068421 to the power of 1/2, to the nearest integer?
1034
What is the cube root of 136461 to the nearest integer?
51
What is the fourth root of 9741460 to the nearest integer?
56
What is 438745 to the power of 1/3, to the nearest integer?
76
What is the third root of 93121 to the nearest integer?
45
What is 3286271 to the power of 1/2, to the nearest integer?
1813
What is the cube root of 20267300 to the nearest integer?
273
What is 110354 to the power of 1/3, to the nearest integer?
48
What is 526164 to the power of 1/6, to the nearest integer?
9
What is the square root of 1233520 to the nearest integer?
1111
What is the square root of 1425218 to the nearest integer?
1194
What is 1706430 to the power of 1/10, to the nearest integer?
4
What is the square root of 4663522 to the nearest integer?
2160
What is the cube root of 3175136 to the nearest integer?
147
What is the square root of 119786 to the nearest integer?
346
What is the tenth root of 731892 to the nearest integer?
4
What is 4457700 to the power of 1/2, to the nearest integer?
2111
What is the square root of 4041159 to the nearest integer?
2010
What is 330766 to the power of 1/3, to the nearest integer?
69
What is 10353903 to the power of 1/4, to the nearest integer?
57
What is the third root of 12452510 to the nearest integer?
232
What is the cube root of 30418897 to the nearest integer?
312
What is 289596 to the power of 1/7, to the nearest integer?
6
What is the third root of 131434 to the nearest integer?
51
What is the fourth root of 11029954 to the nearest integer?
58
What is the square root of 66088 to the nearest integer?
257
What is the sixth root of 2516430 to the nearest integer?
12
What is the cube root of 966523 to the nearest integer?
99
What is the tenth root of 168157 to the nearest integer?
3
What is 7956660 to the power of 1/5, to the nearest integer?
24
What is 7379004 to the power of 1/3, to the nearest integer?
195
What is the cube root of 745434 to the nearest integer?
91
What is the square root of 9891293 to the nearest integer?
3145
What is the third root of 221217 to the nearest integer?
60
What is the eighth root of 3596228 to the nearest integer?
7
What is the ninth root of 17864076 to the nearest integer?
6
What is 43842 to the power of 1/10, to the nearest integer?
3
What is 433476 to the power of 1/7, to the nearest integer?
6
What is 407326 to the power of 1/2, to the nearest integer?
638
What is 785777 to the power of 1/5, to the nearest integer?
15
What is the tenth root of 39710 to the nearest integer?
3
What is 620399 to the power of 1/3, to the nearest integer?
85
What is 335353 to the power of 1/3, to the nearest integer?
69
What is 152966 to the power of 1/3, to the nearest integer?
53
What is the cube root of 16021913 to the nearest integer?
252
What is the third root of 84933 to the nearest integer?
44
What is 2170848 to the power of 1/7, to the nearest integer?
8
What is the square root of 134850 to the nearest integer?
367
What is 13707908 to the power of 1/2, to the nearest integer?
3702
What is 37576006 to the power of 1/2, to the nearest integer?
6130
What is the square root of 5456436 to the nearest integer?
2336
What is 3933747 to the power of 1/7, to the nearest integer?
9
What is 3237 to the power of 1/2, to the nearest integer?
57
What is the third root of 3185648 to the nearest integer?
147
What is the square root of 313161 to the nearest integer?
560
What is 2451182 to the power of 1/2, to the nearest integer?
1566
What is the tenth root of 589735 to the nearest integer?
4
What is the square root of 1650433 to the nearest integer?
1285
What is 8312889 to the power of 1/2, to the nearest integer?
2883
What is the fourth root of 614149 to the nearest integer?
28
What is 931052 to the power of 1/9, to the nearest integer?
5
What is the square root of 4212190 to the nearest integer?
2052
What is 111094 to the power of 1/4, to the nearest integer?
18
What is 225413 to the power of 1/7, to the nearest integer?
6
What is 2842140 to the power of 1/3, to the nearest integer?
142
What is the square root of 3115523 to the nearest integer?
1765
What is 950738 to the power of 1/9, to the nearest integer?
5
What is the square root of 644711 to the nearest integer?
803
What is 2302329 to the power of 1/6, to the nearest integer?
11
What is the third root of 51295 to the nearest integer?
37
What is the cube root of 1491840 to the nearest integer?
114
What is 2313872 to the power of 1/3, to the nearest integer?
132
What is the cube root of 231049 to the nearest integer?
61
What is 3413358 to the power of 1/2, to the nearest integer?
1848
What is 349560 to the power of 1/2, to the nearest integer?
591
What is the seventh root of 1087841 to the nearest integer?
7
What is 2766941 to the power of 1/6, to the nearest integer?
12
What is the cube root of 3224074 to the nearest integer?
148
What is the eighth root of 250782 to the nearest integer?
5
What is 1204792 to the power of 1/2, to the nearest integer?
1098
What is 13474635 to the power of 1/2, to the nearest integer?
3671
What is 185949 to the power of 1/3, to the nearest integer?
57
What is 155820 to the power of 1/8, to the nearest integer?
4
What is 284810 to the power of 1/8, to the nearest integer?
5
What is the third root of 309066 to the nearest integer?
68
What is the fifth root of 9510059 to the nearest integer?
25
What is the cube root of 150085 to the nearest integer?
53
What is the tenth root of 1371305 to the nearest integer?
4
What is 1273642 to the power of 1/2, to the nearest integer?
1129
What is the fourth root of 766483 to the nearest integer?
30
What is the square root of 178227 to the nearest integer?
422
What is 376172 to the power of 1/2, to the nearest integer?
613
What is 9259913 to the power of 1/2, to the nearest integer?
3043
What is the square root of 5702932 to the nearest integer?
2388
What is the third root of 7633400 to the nearest integer?
197
What is the square root of 744521 to the nearest integer?
863
What is 114356 to the power of 1/2, to the nearest integer?
338
What is 47924 to the power of 1/2, to the nearest integer?
219
What is 949665 to the power of 1/4, to the nearest integer?
31
What is the third root of 1862967 to the nearest integer?
123
What is 32908 to the power of 1/4, to the nearest integer?
13
What is 246914 to the power of 1/2, to the nearest integer?
497
What is the seventh root of 38782509 to the nearest integer?
12
What is the square root of 134155 to the nearest integer?
366
What is 508972 to the power of 1/3, to the nearest integer?
80
What is 11042645 to the power of 1/2, to the nearest integer?
3323
What is 47444 to the power of 1/2, to the nearest integer?
218
What is the third root of 430519 to the nearest integer?
76
What is 1134363 to the power of 1/9, to the nearest integer?
5
What is the sixth root of 12398583 to the nearest integer?
15
What is 1828718 to the power of 1/5, to the nearest integer?
18
What is 105885 to the power of 1/5, to the nearest integer?
10
What is the fourth root of 731825 to the nearest integer?
29
What is the third root of 1155178 to the nearest integer?
105
What is 12436875 to the power of 1/2, to the nearest integer?
3527
What is the eighth root of 1178751 to the nearest integer?
6
What is the cube root of 3607916 to the nearest integer?
153
What is the square root of 29986368 to the nearest integer?
5476
What is the seventh root of 19657214 to the nearest integer?
11
What is 22871263 to the power of 1/3, to the nearest integer?
284
What is the fourth root of 197339 to the nearest integer?
21
What is 34855042 to the power of 1/3, to the nearest integer?
327
| {
"pile_set_name": "DM Mathematics"
} |
es next: -1199, -1221, -1241, -1259, -1275, -1289?
-1301
What comes next: -81, -136, -191, -246, -301?
-356
What is next in 37726, 75435, 113128, 150805, 188466, 226111?
263740
What comes next: 68, 207, 440, 767, 1188, 1703, 2312?
3015
What is next in 33, -30, -159, -372, -687, -1122, -1695, -2424?
-3327
What is the next term in -271, 110, 743, 1628, 2765, 4154?
5795
What comes next: -1291, -2616, -3965, -5338, -6735?
-8156
What is next in 731727, 1463454, 2195181, 2926908, 3658635?
4390362
What is the next term in -5120, -5102, -5084?
-5066
What is next in 59152, 59270, 59466, 59740?
60092
What is next in -1511, -1960, -2709, -3758?
-5107
What comes next: -569, -1136, -1717, -2318, -2945?
-3604
What is next in 82, 35, -80, -293, -634?
-1133
What is the next term in -107, -282, -523, -830?
-1203
What is next in -199, -419, -639, -859?
-1079
What is the next term in -8, 66, 188, 358, 576, 842?
1156
What comes next: -282248, -282245, -282240, -282233, -282224?
-282213
What is the next term in 224, 278, 364, 482, 632, 814?
1028
What is next in 2396, 3168, 3940, 4712, 5484?
6256
What is the next term in 3602, 3959, 4554, 5387, 6458, 7767?
9314
What is next in 50594, 50591, 50588, 50585, 50582?
50579
What is the next term in 8914, 17759, 26604?
35449
What is the next term in 2931, 5859, 8781, 11697, 14607, 17511, 20409?
23301
What is the next term in -1812, -3082, -4352, -5622, -6892?
-8162
What is next in 435, 928, 1759, 2928, 4435?
6280
What comes next: 650, 1192, 1510, 1490, 1018, -20, -1738?
-4250
What is the next term in -358, -313, -192, 41, 422, 987, 1772?
2813
What is the next term in -10114, -20464, -30812, -41158, -51502, -61844, -72184?
-82522
What is next in -1337, -1307, -1289, -1289, -1313?
-1367
What comes next: 318690, 1274785, 2868276, 5099163, 7967446, 11473125, 15616200?
20396671
What is next in 264, 1108, 2518, 4494, 7036, 10144?
13818
What is the next term in -1525, -1538, -1555, -1570, -1577, -1570?
-1543
What is next in -27, 0, 33, 66, 93, 108, 105?
78
What is the next term in 119189, 119199, 119223, 119267, 119337, 119439, 119579?
119763
What is the next term in -39249, -39252, -39257, -39264, -39273?
-39284
What is next in -2701, -5353, -8005, -10657, -13309?
-15961
What is the next term in -4830, -4875, -4920?
-4965
What comes next: -31098, -31103, -31108, -31113, -31118?
-31123
What comes next: 79, 90, 45, -68, -261, -546?
-935
What is next in 29, -94, -305, -610, -1015, -1526, -2149, -2890?
-3755
What comes next: -151, -816, -1481, -2146, -2811, -3476?
-4141
What comes next: -5026, -10047, -15066, -20083, -25098, -30111, -35122?
-40131
What is the next term in -205, -1669, -5661, -13447, -26293, -45465, -72229?
-107851
What comes next: -98, -126, -140, -140, -126, -98?
-56
What comes next: -50919, -101840, -152761, -203682, -254603, -305524?
-356445
What comes next: -7404, -7389, -7360, -7317, -7260, -7189, -7104?
-7005
What is next in 80, 30, -52, -160, -288, -430, -580?
-732
What is next in -843, -1012, -1479, -2394, -3907, -6168?
-9327
What is the next term in -8838, -8836, -8834?
-8832
What comes next: -471, -3706, -12481, -29562, -57715, -99706?
-158301
What comes next: 106779, 106773, 106755, 106719, 106659, 106569?
106443
What comes next: 218, 792, 1752, 3098, 4830?
6948
What comes next: -4862, -4876, -4892, -4910, -4930, -4952, -4976?
-5002
What is next in -1204, -2147, -2836, -3277, -3476, -3439, -3172, -2681?
-1972
What is next in -2646990, -2646992, -2646994, -2646996, -2646998?
-2647000
What comes next: -66, -144, -282, -486, -762, -1116?
-1554
What comes next: 208, 596, 984?
1372
What is next in -1351, -2283, -3837, -6013, -8811?
-12231
What is next in -28430, -28428, -28426, -28424, -28422?
-28420
What is next in 3044, 5884, 8724, 11564, 14404?
17244
What is next in -315, -477, -651, -843, -1059, -1305, -1587, -1911?
-2283
What is next in 1469, 5860, 13171, 23396, 36529, 52564?
71495
What is the next term in 64651, 129304, 193957, 258610, 323263, 387916?
452569
What comes next: -28671, -28653, -28635, -28617?
-28599
What is next in -33, -183, -331, -477, -621?
-763
What is next in -7458, -7335, -7212, -7089, -6966, -6843?
-6720
What comes next: 796, 843, 948, 1135, 1428, 1851?
2428
What is next in -14246, -28492, -42738, -56984, -71230, -85476?
-99722
What comes next: -651247, -651246, -651245, -651244, -651243, -651242?
-651241
What comes next: 138, -13, -226, -513, -886, -1357, -1938, -2641?
-3478
What is the next term in 554, 552, 564, 590, 630, 684?
752
What is the next term in 379, 1569, 3555, 6337, 9915, 14289?
19459
What is next in 53928, 107851, 161774, 215697, 269620, 323543?
377466
What is next in -152, -184, -216?
-248
What is next in -3434, -3290, -3066, -2768, -2402, -1974, -1490, -956?
-378
What is next in -57199, -228740, -514633, -914872, -1429451, -2058364, -2801605?
-3659168
What is next in 2530, 2536, 2542, 2548, 2554?
2560
What is next in -265, -507, -753, -1003?
-1257
What comes next: -567858, -567859, -567860, -567861, -567862, -567863?
-567864
What is next in 167, 406, 647, 890, 1135?
1382
What comes next: -2840, -5722, -8634, -11582, -14572, -17610, -20702?
-23854
What comes next: 4108, 7917, 11726, 15535, 19344?
23153
What comes next: -257203, -257202, -257201, -257200, -257199, -257198?
-257197
What is the next term in 398636, 398632, 398626, 398618?
398608
What is next in 1771, 3725, 5683, 7645?
9611
What is next in -43652, -174595, -392834, -698369?
-1091200
What is the next term in 22401, 22400, 22391, 22368, 22325, 22256?
22155
What is next in -411, -570, -985, -1782, -3087, -5026?
-7725
What comes next: -1196, -1179, -1134, -1049, -912, -711?
-434
What is next in -195446, -195442, -195438?
-195434
What is next in 3075637, 6151275, 9226915, 12302557?
15378201
What is next in 10403, 10409, 10421, 10439?
10463
What is the next term in 399, 401, 403, 405, 407, 409?
411
What is next in -19575, -78313, -176219, -313299, -489559, -705005, -959643, -1253479?
-1586519
What comes next: -2334, -4674, -7020, -9372, -11730?
-14094
What is next in 127924, 127922, 127920?
127918
What is next in -177, 258, 1463, 3822, 7719, 13538, 21663?
32478
What is next in 23, 79, 165, 281, 427, 603, 809?
1045
What is next in 1214, 1253, 1326, 1439, 1598, 1809?
2078
What is next in -28800, -28796, -28792, -28788?
-28784
What is next in -2250, -2237, -2224?
-2211
What comes next: 134, 117, 86, 41, -18, -91?
-178
What is next in -174208, -348411, -522612, -696811?
-871008
What is the next term in 133, 242, 315, 352?
353
What is next in 101, 230, 383, 548, 713, 866?
995
What is the next term in -2043, -8150, -18329, -32580?
-50903
What comes next: -90631, -362542, -815717, -1450150, -2265835, -3262766, -4440937?
-5800342
What is next in -394, -412, -422, -424, -418?
-404
What is the next term in -212, -224, -236, -248, -260, -272?
-284
What comes next: -2671, -5283, -7881, -10459, -13011, -15531, -18013, -20451?
-22839
What is next in 14, 205, 706, 1667, 3238, 5569?
8810
What is the next term in 578, 1217, 1886, 2585, 3314, 4073, 4862?
5681
What is the next term in -1449, -2870, -4289, -5706, -7121, -8534?
-9945
What is the next term in -6430, -6526, -6686, -6910, -7198, -7550?
-7966
What is next in -596, -1163, -1694, -2171, -2576, -2891, -3098?
-3179
What is next in -1549, -1555, -1561, -1567, -1573, -1579?
-1585
What is next in 23081, 46164, 69247?
92330
What comes next: -18424, -36842, -55258, -73672, -92084?
-110494
What is next in -1769, -3493, -5211, -6923, -8629, -10329, -12023?
-13711
What is the next term in 607, 574, 479, 292, -17?
-478
What is next in -2258, -4349, -6436, -8519, -10598, -12673?
-14744
What comes next: -3267, -6499, -9731, -12963, -16195?
-19427
What is the next term in 469066, 469067, 469068?
469069
What is next in 1978, 1949, 1904, 1837, 1742, 1613, 1444, 1229?
962
What is next in -9460, -9456, -9452, -9448?
-9444
What is next in 457, 400, 253, -26, -479, -1148, -2075?
-3302
What is next in -109338, -109339, -109340, -109341, -109342, -109343?
-109344
What is next in -900, -1802, -2704, -3606?
-4508
What is next in 39, 54, 43, 6, -57, -146?
-261
What is next in -381, -1446, -3205, -5652, -8781?
-12586
What is the next term in -303, -1169, -2599, -4581, -7103?
-10153
What is | {
"pile_set_name": "DM Mathematics"
} |
0*sqrt(5) + 162576
Simplify (-4*sqrt(88)*-1*-4)/(3*-2*sqrt(8)*6).
4*sqrt(11)/9
Simplify (sqrt(104)/(sqrt(4) - (sqrt(4) + sqrt(4)*2 + sqrt(4))))/(sqrt(2) + sqrt(2) + (-3*sqrt(18))/sqrt(9) - sqrt(2)) + 3.
sqrt(13)/6 + 3
Simplify 5*(-5 + sqrt(1008) + 0 + 4).
-5 + 60*sqrt(7)
Simplify ((sqrt(119) - (-2*sqrt(119)*2 - sqrt(119)) - (sqrt(119)*-2 - sqrt(119))*1)/((sqrt(896)*-5)/sqrt(8)))**2.
1377/400
Simplify ((2*(sqrt(7) + sqrt(21)/(sqrt(6)/sqrt(2)) + sqrt(7)) - -3*(sqrt(7)*2 - sqrt(7))**2*5) + 5)*-2.
-220 - 12*sqrt(7)
Simplify -5 + (sqrt(76) - (0 + sqrt(76)*-4))**2 + 5.
1900
Simplify (-6*sqrt(40)/sqrt(2) - (sqrt(20) - (sqrt(20) + sqrt(80)/sqrt(4)))*3)/(sqrt(8)/sqrt(2)*4 - sqrt(64)/sqrt(4)).
-3*sqrt(5)/2
Simplify (sqrt(224)/(2*sqrt(567)) + (3 + sqrt(128)/sqrt(4) - ((sqrt(2048) - -1*sqrt(2048)) + sqrt(32))))**2.
-1148*sqrt(2)/3 + 659681/81
Simplify (-6*(sqrt(343) - 1*sqrt(343)) - -2*sqrt(343)*-4)**2 + 4 + -2*sqrt(343) + -3.
-14*sqrt(7) + 21953
Simplify -1*(-5 + -4*(1*sqrt(98) + sqrt(98)) + 0 + sqrt(98)*2)**2.
-3553 - 420*sqrt(2)
Simplify ((sqrt(5000) + 1)**2 + -2)*3*3.
900*sqrt(2) + 44991
Simplify (3*(5*1*sqrt(132) - sqrt(132)))/(sqrt(132)/(sqrt(11)*1) - ((sqrt(120) - sqrt(120)*-1) + sqrt(120))/sqrt(10)).
-6*sqrt(11)
Simplify -6*(sqrt(2156) + 2) + sqrt(2156)*-1*-2.
-56*sqrt(11) - 12
Simplify ((sqrt(3) - (sqrt(3) + -1))*-2 - sqrt(36)/(sqrt(24)/sqrt(2)))*-1*-6.
-12 - 6*sqrt(3)
Simplify (-6*sqrt(228)*2 - (sqrt(228) - (sqrt(228)*-2*4 + sqrt(228))))/(sqrt(84)/(sqrt(7) + (sqrt(7) + (sqrt(7) - sqrt(252)))*3)).
220*sqrt(19)
Simplify (-1 + (5*(sqrt(36) + sqrt(144)/sqrt(4) + sqrt(36)))/(-5*-4*(sqrt(48) - sqrt(3))))**2.
-sqrt(3) + 7/4
Simplify ((-5*sqrt(104) - sqrt(104))*5)/((sqrt(8) - sqrt(8)*2)*-3).
-10*sqrt(13)
Simplify (((sqrt(18))**2 + sqrt(2))*3*5 - (sqrt(648) + -1 + sqrt(648))**2)*-3.
-261*sqrt(2) + 6969
Simplify (3*-3*(2 + sqrt(68)))**2 + (-1 + sqrt(68))**2 + -1 + (sqrt(68) - ((sqrt(68) + -1)**2 + sqrt(68))) + 4.
648*sqrt(17) + 5835
Simplify ((sqrt(140) - 1*sqrt(140) - sqrt(140)) + sqrt(35) + sqrt(35) + (sqrt(35) + sqrt(140))*2)/(sqrt(14)/sqrt(2)*-5*6).
-sqrt(5)/5
Simplify (sqrt(75)/sqrt(3))/sqrt(5)*-3 - ((sqrt(4455)*-1 + sqrt(4455))/sqrt(11))**2.
-3*sqrt(5)
Simplify sqrt(162)/(4*(sqrt(6)*2 - sqrt(6))) - -4*(sqrt(1323) + -1*sqrt(1323))**2.
3*sqrt(3)/4
Simplify sqrt(51)/(sqrt(3) - 1*sqrt(3)*6) - (1 + sqrt(68) + -2).
-11*sqrt(17)/5 + 1
Simplify 6*((0 + -2*sqrt(19))*-1 - (2*(2*sqrt(2736) + sqrt(2736)))**2).
-590976 + 12*sqrt(19)
Simplify (0 + 1*(2*(sqrt(18)*5 + sqrt(18)) - sqrt(18))/sqrt(9))**2.
242
Simplify (4 + -5*3*sqrt(1053) + 3 + sqrt(1053)*-1 + 2 + 0 + sqrt(1053))**2.
-2430*sqrt(13) + 237006
Simplify (((1 + sqrt(2448) + -5)*-2 + 5 + 1)*5)**2.
-16800*sqrt(17) + 249700
Simplify ((sqrt(196)*3)/(2*(sqrt(7) + sqrt(567)))*-3)**2.
567/100
Simplify ((2 + sqrt(700))*-5)**2 + ((sqrt(7) - (sqrt(7) + 1))*5 - (-1 + sqrt(700) + sqrt(700))).
980*sqrt(7) + 17596
Simplify ((sqrt(200) + sqrt(200)*1)*4 + -3)**2 + -3 + 1*sqrt(200) + -2.
-470*sqrt(2) + 12804
Simplify (1 + -4 + sqrt(153))**2 - (2 + (sqrt(153)*-3)**2).
-1217 - 18*sqrt(17)
Simplify (4*sqrt(143)*-1*4)/((sqrt(132)*-2*-3)/sqrt(12)).
-8*sqrt(13)/3
Simplify -3*((sqrt(1053)*1)**2*-6 + -5 + 1).
18966
Simplify (-5*(2 + 4 + 4*(sqrt(75) + sqrt(75) + (sqrt(75)*-2 - sqrt(75)))) + 3)**2.
-5400*sqrt(3) + 30729
Simplify 2*((sqrt(56)*1)/sqrt(7)*5 + 2).
4 + 20*sqrt(2)
Simplify 3 + (5 + sqrt(10)/sqrt(2) + sqrt(5) + 1 - 2*2*(1 + sqrt(5))**2).
-15 - 6*sqrt(5)
Simplify (-1 + sqrt(245) - sqrt(80)*-6)**2 + 5 + sqrt(5) + 1 + 1 + sqrt(5) + (sqrt(20)/sqrt(4) + 5)**2 + -3.
-50*sqrt(5) + 4840
Simplify -2 + (sqrt(450) + 5 - sqrt(350)/(sqrt(7)*-2)).
3 + 35*sqrt(2)/2
Simplify (-5*(-5 + sqrt(14)/(-1*sqrt(567))*-1))**2.
-250*sqrt(2)/9 + 50675/81
Simplify (3 + sqrt(117) + sqrt(117) + sqrt(65)/(sqrt(15)/sqrt(3)))**2 + 4.
42*sqrt(13) + 650
Simplify (1 + sqrt(272) - sqrt(272)) + (sqrt(34)/sqrt(2)*-1)**2 - (4*(2*sqrt(68) - (1 + sqrt(272))))**2.
2
Simplify (6*(1*-2*sqrt(133) - sqrt(133)))/((2*(sqrt(35) + sqrt(140)/sqrt(4)))/sqrt(5)).
-9*sqrt(19)/2
Simplify (sqrt(2401) - -1*sqrt(2401)*-2)/(sqrt(35)/(sqrt(5)*-2) - 4*sqrt(112)).
14*sqrt(7)/33
Simplify ((-4*(sqrt(170) + -1*sqrt(170)))/(-2*sqrt(10)*4))**2 + 3*(-2 + (sqrt(17) - (sqrt(51)/sqrt(3) - sqrt(17))))*-1.
-3*sqrt(17) + 6
Simplify -5 + 5*sqrt(68) + sqrt(68) + sqrt(68) - (-6*(sqrt(119) - sqrt(119)*-4) + sqrt(119) + sqrt(119))/sqrt(7).
-5 + 42*sqrt(17)
Simplify 1 + sqrt(114)/sqrt(6) + sqrt(19) + 0 - (-1*sqrt(950))/sqrt(2).
1 + 7*sqrt(19)
Simplify (sqrt(119)*-5*-1)/(sqrt(7) + sqrt(126)/sqrt(2)) + 2.
2 + 5*sqrt(17)/4
Simplify (sqrt(16)*1*-2)/(4*sqrt(1152)).
-sqrt(2)/24
Simplify (sqrt(40) + sqrt(2560)*-6)/(5*sqrt(72)).
-47*sqrt(5)/15
Simplify -1 + (((sqrt(1539) + 1 - sqrt(1539))*-1 - sqrt(1539))**2 - sqrt(1539)) + (1*sqrt(1539) + 5 - sqrt(1539)) + -1.
9*sqrt(19) + 1543
Simplify (sqrt(50)*-2 - (sqrt(8) + 1))**2 - (-1 + (-5*(sqrt(2) + sqrt(2)*-2))**2).
24*sqrt(2) + 240
Simplify -3 + (sqrt(700) - (-3 + sqrt(700) + sqrt(700) + 0)**2) + ((3 + 2 + sqrt(700))*-5)**2.
2630*sqrt(7) + 15313
Simplify (sqrt(51)/(sqrt(33)/(3*sqrt(11))))**2 + -3*sqrt(425) + -3.
-15*sqrt(17) + 150
Simplify -3*(((sqrt(171)*-2)/sqrt(9) - sqrt(342)/sqrt(2))*4 + 2)**2.
-22812 + 240*sqrt(19)
Simplify (sqrt(12) + -3)*-5*-5 + 1*(sqrt(363) - (0 + sqrt(363) + 0))**2.
-75 + 50*sqrt(3)
Simplify ((sqrt(480)/sqrt(300))/sqrt(8))**2 + sqrt(180) + -1*sqrt(180) + -2.
-9/5
Simplify 5*(-4 + sqrt(405)) + ((sqrt(10) - sqrt(10)*-1)/sqrt(2) + sqrt(5))**2 + sqrt(80)*1.
25 + 49*sqrt(5)
Simplify -5*(sqrt(54)/sqrt(3)*4 + ((sqrt(4)*1)/sqrt(2) + sqrt(2) - sqrt(72))**2).
-160 - 60*sqrt(2)
Simplify (1*4*sqrt(931) + 3)**2 + (sqrt(931)*4*-5)**2*6.
168*sqrt(19) + 2249305
Simplify -5*(sqrt(13)*-1 + -4 - (-2 + -1 + sqrt(13))).
5 + 10*sqrt(13)
Simplify ((2*sqrt(6) + sqrt(6))*3)/(sqrt(3) + sqrt(12)*-5 + sqrt(3)) + (sqrt(540)/sqrt(10))/(-2*sqrt(27)).
-13*sqrt(2)/8
Simplify ((sqrt(112)*-4 - sqrt(112) - sqrt(112))/sqrt(8))/(sqrt(1134)/sqrt(2)).
-2*sqrt(2)/3
Simplify (-1 + (sqrt(288) - (sqrt(288) - (sqrt(288)*-3 - sqrt(288)))) - sqrt(288))**2 + (sqrt(64) - 2*sqrt(64)*-3)/sqrt(8).
134*sqrt(2) + 7201
Simplify (2 + sqrt(11) + -1)**2 + -2*sqrt(22)/sqrt(2) + (1*sqrt(11) + -3 - sqrt(11))**2 + (sqrt(11) + -1)*5.
16 + 5*sqrt(11)
Simplify 4*(3*(sqrt(18)/sqrt(2))/sqrt(3) + ((sqrt(3) + (sqrt(48) - sqrt(3)))*-3 - (-1 + sqrt(12) + sqrt(3))))**2.
-96*sqrt(3) + 1732
Simplify (sqrt(33) + 4*sqrt(1617) + sqrt(1617))/(sqrt(275) - (-2*sqrt(275) - sqrt(275)) - sqrt(275)).
12*sqrt(3)/5
Simplify (sqrt(84)/(sqrt(63)*2 - sqrt(7)))/(sqrt(20)/(sqrt(20)/(sqrt(4)*2))).
sqrt(3)/10
Simplify sqrt(88)/(sqrt(32)/sqrt(4)*3) - (1*sqrt(1584) - sqrt(1584))*-5.
sqrt(11)/3
Simplify (-1*(sqrt(30) + sqrt(90)/sqrt(3)))/(sqrt(6) + sqrt(162)/sqrt(3) + sqrt(6)) + -5.
-5 - 2*sqrt(5)/5
Simplify -2 + sqrt(448)*4 + (sqrt(42)/(sqrt(66)/(-3*sqrt(11) + sqrt(11))))**2.
26 + 32*sqrt(7)
Simplify (2 + (4 + -2*sqrt(500) + sqrt(500))**2*-5)*-4.
-1600*sqrt(5) + 10312
Simplify (3*(sqrt(200)*-2 - sqrt(200))/sqrt(10) - (-2 + sqrt(60)/sqrt(3)*2))*6.
-132*sqrt(5) + 12
Simplify ((sqrt(208) + 1)*3)**2 + -1*sqrt(117)*2.
66*sqrt(13) + 1881
Simplify 5*-6*-2*((0 + sqrt(891))*6)**2*5.
9622800
Simplify sqrt(40)/(sqrt(88)/(-1*sqrt(11))) - (-1*sqrt(160))/sqrt(2).
3*sqrt(5)
Simplify -3*(((sqrt(4212) + sqrt(52))*6)/(sqrt(32)/sqrt(2)))**2.
-35100
Simplify 3*(-5 + sqrt(1008)*1)**2*-6.
-18594 + 2160*sqrt(7)
Simplify 4*((sqrt(528) + sqrt(528)*2)*-6)/(-5*4*sqrt(9)/sqrt(3)).
72*sqrt(11)/5
Simplify 2*(-6*1*sqrt(4500))/(sqrt(576) - -2*sqrt(576)*5).
-15*sqrt(5)/11
Simplify (sqrt(833)*-3 + 2 - sqrt(833) - (5 + 0 + sqrt(833)))**2.
210*sqrt(17) + 20834
Simplify (-4*(-1*(sqrt(98) + 0) - sqrt(98) - (sqrt(98) + -2*1*sqrt(98) + sqrt(98)))*-1)**2.
6272
Simplify ((-3*2*sqrt(272) + sqrt(272))/sqrt(8))/(sqrt(18)*-1 - sqrt(2) - (sqrt(14) + sqrt(42)/sqrt(3))/sqrt(7)).
5*sqrt(17)/6
Simplify (1 + -1 + sqrt(1300) + 3*(sqrt(1300) + -1*sqrt(1300)) + -4 + -3)**2.
-140*sqrt(13) + 1349
Simplify 5*(sqrt(114)/(sqrt(6) + sqrt(96)) + 1) + -4 + (3*-1*sqrt(1216))**2.
sqrt(19) + 10945
Simplify (3*(2 + -4 + 3*sqrt(147) + sqrt(147) + 4) + 1)**2.
1176*sqrt(3) + 21217
Simplify ((-1*sqrt(1900) + 0)*5 + 4 + -4 + 3*sqrt(1900))**2.
7600
Simplify -1 + sqrt(252) + sqrt(63) + -1 + sqrt(175) | {
"pile_set_name": "DM Mathematics"
} |
icrograms?
859828300000000
How many millimeters are there in 31121.15 meters?
31121150
What is eleven halves of a day in hours?
132
What is 128.2521km in meters?
128252.1
How many years are there in fifty-two fifths of a decade?
104
How many kilometers are there in 0.2752289 centimeters?
0.000002752289
What is 26/7 of a week in minutes?
37440
How many millilitres are there in 1/20 of a litre?
50
What is twenty-five halves of a century in years?
1250
What is 8973.242 years in months?
107678.904
How many micrograms are there in 3/50 of a gram?
60000
What is 5.349061 weeks in hours?
898.642248
What is 671607.1km in nanometers?
671607100000000000
How many seconds are there in 1/28 of a week?
21600
What is 0.0011177 millennia in years?
1.1177
How many minutes are there in 8711.252 days?
12544202.88
What is 1.702723us in milliseconds?
0.001702723
What is 0.070391g in kilograms?
0.000070391
What is 97898.96l in millilitres?
97898960
What is 72752.51 nanograms in tonnes?
0.00000000007275251
How many minutes are there in 9039.921 seconds?
150.66535
What is one fifth of a gram in milligrams?
200
Convert 0.5021201 micrograms to kilograms.
0.0000000005021201
How many tonnes are there in 5321.325mg?
0.000005321325
What is 201.8505 months in millennia?
0.016820875
What is 8/3 of a minute in seconds?
160
Convert 1362.032 seconds to milliseconds.
1362032
Convert 85237.75 milligrams to grams.
85.23775
How many milliseconds are there in 7/4 of a second?
1750
How many millilitres are there in 6/5 of a litre?
1200
How many decades are there in 73602.72 millennia?
7360272
What is one quarter of a litre in millilitres?
250
What is 11/2 of a litre in millilitres?
5500
What is 0.4030778 grams in milligrams?
403.0778
How many milligrams are there in 11/10 of a gram?
1100
What is one twentieth of a millisecond in microseconds?
50
What is 5.645816 milliseconds in seconds?
0.005645816
What is 2526.672t in milligrams?
2526672000000
What is 7/4 of a century in years?
175
Convert 83075.949ms to days.
0.0009615271875
What is 55.5253 centimeters in micrometers?
555253
What is 64/5 of a meter in centimeters?
1280
What is 12854.331 months in years?
1071.19425
How many grams are there in 7/4 of a kilogram?
1750
What is twenty-six fifths of a decade in years?
52
How many millilitres are there in 366633.1l?
366633100
What is seven halves of a week in minutes?
35280
What is five eighths of a kilometer in meters?
625
What is 17877.57l in millilitres?
17877570
Convert 9.131295 microseconds to seconds.
0.000009131295
How many months are there in one quarter of a century?
300
What is 147.3538 centuries in years?
14735.38
What is nineteen quarters of a milligram in micrograms?
4750
What is three tenths of a microgram in nanograms?
300
What is fourty-nine quarters of a meter in millimeters?
12250
What is 1/5 of a century in months?
240
How many micrograms are there in 61.86252 nanograms?
0.06186252
What is 2.237418 centuries in decades?
22.37418
How many minutes are there in 5/4 of a hour?
75
What is 997.9016 nanograms in milligrams?
0.0009979016
How many tonnes are there in 423698.6 micrograms?
0.0000004236986
What is fifty-five quarters of a kilogram in grams?
13750
How many millilitres are there in 25/4 of a litre?
6250
How many years are there in six fifths of a millennium?
1200
How many nanograms are there in 569116.9mg?
569116900000
Convert 816.331um to meters.
0.000816331
How many months are there in 9835.684 centuries?
11802820.8
What is 982.0421us in seconds?
0.0009820421
What is 7/4 of a millisecond in microseconds?
1750
What is 2056.095 meters in millimeters?
2056095
How many months are there in 3/5 of a century?
720
What is 37/2 of a centimeter in millimeters?
185
How many years are there in 6/25 of a century?
24
Convert 0.7087645 micrograms to nanograms.
708.7645
How many kilograms are there in twenty-five quarters of a tonne?
6250
What is 6/25 of a microsecond in nanoseconds?
240
What is 1/4 of a day in hours?
6
How many seconds are there in 3/40 of a week?
45360
What is 0.301914mg in nanograms?
301914
How many tonnes are there in 4.563689 kilograms?
0.004563689
What is three fifths of a micrometer in nanometers?
600
What is 69648.34 milligrams in nanograms?
69648340000
What is eleven halves of a litre in millilitres?
5500
How many micrometers are there in thirty-three fifths of a centimeter?
66000
What is 5.649175 years in millennia?
0.005649175
What is 27/2 of a day in minutes?
19440
What is 6799.8 centuries in millennia?
679.98
How many micrograms are there in one fifth of a milligram?
200
What is 4/3 of a minute in milliseconds?
80000
How many months are there in thirteen quarters of a millennium?
39000
How many milligrams are there in six fifths of a gram?
1200
How many milligrams are there in 5/4 of a gram?
1250
Convert 80.95157 decades to millennia.
0.8095157
How many seconds are there in three fifths of a hour?
2160
How many grams are there in 683.3098 tonnes?
683309800
What is one quarter of a kilometer in centimeters?
25000
What is one twentieth of a minute in milliseconds?
3000
Convert 0.8625603 nanoseconds to microseconds.
0.0008625603
What is 815.1076ml in litres?
0.8151076
How many months are there in 3/40 of a decade?
9
How many grams are there in 284.2119ng?
0.0000002842119
What is 272.5264 nanograms in micrograms?
0.2725264
How many millennia are there in 3661.601 centuries?
366.1601
How many minutes are there in 1410.4632ms?
0.02350772
How many millilitres are there in twenty-seven quarters of a litre?
6750
How many micrometers are there in 33/5 of a millimeter?
6600
What is 7989.444 litres in millilitres?
7989444
How many millilitres are there in 296481.3l?
296481300
How many millilitres are there in 6.2733 litres?
6273.3
How many micrometers are there in 5/8 of a millimeter?
625
Convert 0.3907931 millennia to months.
4689.5172
What is one twentieth of a millimeter in nanometers?
50000
What is twenty-seven quarters of a kilometer in meters?
6750
What is 43/2 of a litre in millilitres?
21500
How many nanograms are there in 6/5 of a microgram?
1200
What is seventeen quarters of a week in hours?
714
How many hours are there in 403.16886 microseconds?
0.00000011199135
What is 0.7898925 decades in years?
7.898925
What is 55/4 of a meter in millimeters?
13750
Convert 3.431407 decades to millennia.
0.03431407
What is fourty-six fifths of a century in months?
11040
Convert 7565.68us to milliseconds.
7.56568
What is 99239647.5s in weeks?
164.08671875
What is one twentieth of a litre in millilitres?
50
What is five sixths of a millennium in months?
10000
Convert 8678.836 centimeters to meters.
86.78836
How many milligrams are there in 786433.7 grams?
786433700
What is six fifths of a gram in milligrams?
1200
What is 558.7206g in milligrams?
558720.6
What is 7380.824mg in micrograms?
7380824
How many centimeters are there in fifty-four fifths of a meter?
1080
Convert 5956.668 weeks to minutes.
60043213.44
What is 0.2675552 kilograms in milligrams?
267555.2
What is 18/5 of a milligram in micrograms?
3600
How many millilitres are there in nineteen quarters of a litre?
4750
How many microseconds are there in 68.57884 milliseconds?
68578.84
How many kilometers are there in 27.71372cm?
0.0002771372
How many litres are there in 14.02507 millilitres?
0.01402507
How many millilitres are there in 0.2979581 litres?
297.9581
Convert 7.422579 millilitres to litres.
0.007422579
How many millilitres are there in 51/2 of a litre?
25500
Convert 5282.602 years to centuries.
52.82602
How many millilitres are there in eleven halves of a litre?
5500
What is 0.6051153l in millilitres?
605.1153
Convert 0.7348166 days to microseconds.
63488154240
How many seconds are there in 3007.675 hours?
10827630
What is 50.76147 litres in millilitres?
50761.47
What is one twentieth of a meter in millimeters?
50
How many months are there in one sixth of a year?
2
What is sixty-one quarters of a micrometer in nanometers?
15250
What is fifty-three quarters of a milligram in micrograms?
13250
How many tonnes are there in 427253.8g?
0.4272538
What is 532503.2l in millilitres?
532503200
How many microseconds are there in 72.40341 minutes?
4344204600
How many millilitres are there in 1/10 of a litre?
1 | {
"pile_set_name": "DM Mathematics"
} |
is divided by z.
35
Suppose 355399 = 171*v - 62380 + 84842. Calculate the remainder when v is divided by 5.
2
Let r(f) = -f**2 + 243*f + 180. What is the remainder when r(0) is divided by 135?
45
What is the remainder when ((-43276)/31)/(2 + -8)*3 is divided by 3?
2
Suppose j - 14 = -10, -3*w + j = -185. What is the remainder when 1194 is divided by w?
60
Let z = 69 - -157. Suppose 5*j - 4*l - 66 = 13, -j - 1 = -5*l. Calculate the remainder when z is divided by j.
17
Let q be 3 + 2 + 1 + -3. Suppose -24 = -3*s - 3*z, q*s = 5*s - z - 22. Suppose -211 = -6*r - 37. Calculate the remainder when r is divided by s.
9
Let p(f) = -f**3 + 10*f**2 - 13*f - 17. Suppose -3*r - 2 + 36 = 5*d, 3*r = -6. Let l be (10 - 11)/((-1)/d). What is the remainder when 33 is divided by p(l)?
5
What is the remainder when ((-45)/40)/((-108)/23616) is divided by 56?
22
Suppose 86*j - 91*j + 6498 = 2*b, 4*b - 13032 = -4*j. Calculate the remainder when b is divided by 233.
2
Let a(b) = b**3 - 17*b**2 - 273*b + 9. Calculate the remainder when 1887 is divided by a(-8).
108
Suppose 606 = x + 3*q, -2*x + 364*q = 366*q - 1200. What is the remainder when x is divided by 195?
12
Suppose 4*v - 2*a = -14, 7*v + 2*a - 2 = 5*v. Let r = 64 + v. Suppose 0 = 2*b - 3*b + 32. Calculate the remainder when r is divided by b.
30
Let j = -73 - -213. Let m(u) = 21*u + 465. Calculate the remainder when j is divided by m(-21).
20
Let b(u) = -2*u**2 - 4*u - 3. Let m be b(0). Let i be (((-558)/(-15))/m)/(1/(-5)). Suppose 2*g + i = 3*g. Calculate the remainder when g is divided by 13.
10
Let t be 118/(9/((-27)/(-6))). Suppose 54*c - t*c = -10. Let y = 54 - c. What is the remainder when y is divided by 11?
8
Let c(y) = -y**3 - 14*y**2 + 12*y - 15. Let t be c(-15). Suppose 42*z = 40*z + t. Let a = -330 - -508. What is the remainder when a is divided by z?
13
Suppose 3*j = 2*j. Let h(o) be the third derivative of -o**6/120 + 133*o**3/6 - 132*o**2. Calculate the remainder when h(j) is divided by 34.
31
Suppose -101*u + 15652 = 145*u - 74*u. Suppose -2*a - 4*k + 94 = 0, -a + 54 = 4*k + 7. What is the remainder when u is divided by a?
44
Suppose -46*a + 11782 = -13702. Calculate the remainder when a is divided by 10.
4
Suppose -t + 69 = 4*m + 4*t, -5*t = -4*m + 99. Suppose 219 = 3*j + m. Let r = j + -35. Calculate the remainder when r is divided by 8.
7
Suppose 3*x - v + 1560 = 8*x, 4*x + 2*v = 1242. Let r = 338 - x. Calculate the remainder when r is divided by 19.
6
Let a(i) = -6*i**3 - 52*i**2 - 53*i + 18. What is the remainder when 656 is divided by a(-8)?
98
Suppose -856*m = -651*m - 343990. What is the remainder when m is divided by 35?
33
Suppose 0 = -4*p - 3*x + 18, 4*x = 2*p - x + 4. Suppose 5*t + 280 = 3*f, -35*f + 32*f = p*t - 288. Calculate the remainder when f is divided by 24.
23
Let v = -2175 + 2298. What is the remainder when v is divided by 106?
17
Suppose 0 = 5*x - 1532 - 883. Calculate the remainder when x is divided by 99.
87
Let s be 8 - (7 + 315) - 2. Let z = 627 + s. Calculate the remainder when z is divided by 8.
7
Suppose 0 = 4*w - a - 136, 3*w - 42 = -5*a + 83. Suppose -2*m + 16 - 2 = 2*l, 3*l + w = 5*m. Calculate the remainder when 143 is divided by m.
3
Let l = -10011 + 10047. What is the remainder when 1148 is divided by l?
32
Let u = -20 + 13. Let j(p) = -p**3 - 4*p**2 - 7. Calculate the remainder when j(u) is divided by 36.
32
Suppose 14*j = 1152 + 7331 + 1261. Calculate the remainder when j is divided by 50.
46
Suppose -154*u = -27998 - 453714. What is the remainder when u is divided by 149?
148
Suppose 0 = 4*x - 2*t - 75 - 35, -2*t - 2 = 0. Calculate the remainder when 1302 is divided by x.
6
Let v(d) = -19*d - 19*d - 15 + 43*d. Let z = -66 - -78. What is the remainder when v(7) is divided by z?
8
Suppose -245*a + 249*a - 2348 = 0. Calculate the remainder when a is divided by 56.
27
Suppose 3*w = -0*w - 5*h - 3, -w + 2*h = -10. Suppose -3*q - 4*s + 146 = 0, w*s = 23 - 15. What is the remainder when 127 is divided by q?
35
Let a be 18*(40/6)/4. Suppose s = -9*s + a. Calculate the remainder when (-14)/(-77) + s/((-66)/(-326)) is divided by 3.
0
Suppose 0 = -5*t + 4*f + 1599, 484*f - 488*f - 642 = -2*t. Suppose -5*c + 270 - 110 = 0. Calculate the remainder when t is divided by c.
31
Let s = -173 - -242. Let v = s - 52. What is the remainder when 29 is divided by -1 - (2 - (v - -1))?
14
Suppose 8*n + 1875 = -1405. Let p = -379 - n. What is the remainder when p is divided by 7?
3
Let v(u) = 5*u**2 + u - 13. Suppose 2 = -i - 3. Let h be v(i). Let j = 181 - h. What is the remainder when j is divided by 11?
8
Suppose 1074 = 2*q - 198. Let m = 771 - q. Calculate the remainder when m is divided by 17.
16
Let d(q) = 22*q**2 + 31*q - 340. Calculate the remainder when d(8) is divided by 55.
51
Let x = -3 + 2. Let f(n) be the first derivative of -73*n**2/2 + n + 260. Calculate the remainder when f(x) is divided by 19.
17
Suppose 10*l = 44*l - 4*l - 9930. Calculate the remainder when 583 is divided by l.
252
Let u = -750 + 1474. Let t = 136 - 103. What is the remainder when u is divided by t?
31
Let c = -12315 + 19452. What is the remainder when c is divided by 59?
57
Let f(v) = 997*v - 3741. Calculate the remainder when f(4) is divided by 38.
19
Let d(r) = -4*r**3 - 9*r**2 - 6*r + 17. Calculate the remainder when d(-3) is divided by 1 - (1 - -9)*-2.
20
Let n(z) = z**3 + 21*z**2 + 9*z + 12. Calculate the remainder when n(-19) is divided by 182.
17
Suppose -g - 113 = 3*n - 26, -4*g = 0. Let j = n + 38. What is the remainder when j is divided by 6?
3
Let x(i) = i**2 + 12*i + 27. Let t be x(-3). Suppose -5*y = 2*u + 85 - 238, t = 4*y + 12. Calculate the remainder when u is divided by 22.
18
Let a(p) = p - 5*p + 4 + 0*p + 5*p. Let b be a(0). Suppose 0 = j + 2*f - b, -5*j + 24 + 6 = 5*f. Calculate the remainder when 44 is divided by j.
4
Suppose 585 = -o + 6*o. Suppose -160 = 12*q - 2*q. Let t(h) = 4*h + 88. What is the remainder when o is divided by t(q)?
21
Suppose -34 = -2*j + 2*c, -5*j + j + 59 = -c. Calculate the remainder when (-2)/3*306/(-12) is divided by (-5 + (-27)/(-6))/((-1)/j).
3
Suppose 0 = -4*i + 10 - 2. Let n(u) = 29*u**3 - 3*u**2 + 2*u + 3. What is the remainder when n(i) is divided by 46?
43
Let o be 96 - 91 - (-305 - 2/(-2)). Let s = o + -220. Calculate the remainder when s is divided by 26.
11
Let q be (-8*(-7)/(-42))/(2/3). What is the remainder when 64 is divided by ((-14)/(-4) + q)/(6/60)?
4
Let h = 1120 - 1120. Suppose -45 = -7*a + 2*a. Calculate the remainder when a is divided by 0/4 + 4/1 - h.
1
Suppose 6915 + 2178 = 21*q. Let w = q + -191. Calculate the remainder when w is divided by 63.
53
Let h = 346 - 365. What is the remainder when 31 is divided by (25/25)/((-1)/h)?
12
Suppose 0 = -2*f - 2*t - 6, -26 = -2*f - t - 29. Suppose f = m - 3*c, 3*m - 8*c = -6*c + 28. Calculate the remainder when 42 is divided by m.
6
Let q(h) = -h**2 + 5*h + 61. Let l be q(11). What is the remainder when 153 is divided by (40 - -1)/(-6 + (l - -12))?
30
Suppose 1252 + 852 = 60*j - 416. Calculate the remainder when 50 is divided by j.
8
Suppose -b = 5, 0 = 4*r - 2*b + b - 5. Suppose r = 10*w - 31*w + 1554. What is the remainder when w is divided by 19?
17
Let z = 242 + 43. Suppose -6*g + 9*g - z = 0. Let y = -76 + g. Calculate the remainder when 93 is divided by y.
17
Let x = 67 + -65. Let m(h) = 16*h**2 - 19*h**3 - 31 - 5*h**x + 5*h - 15*h**3 + 35*h**3. What is the remainder when m(-7) is divided by 12?
10
Suppose -11*m + 49 = -4*m. Suppose 3*t - 210 = -0*t. Let a = -50 + t. What is the remainder when a is divided by m?
6
Let j(g) = 4*g**3 + 6*g**2 + g - 6. Let k be j(-4). Let o = k + 323. Calculate the remainder when 113 is divided by o/4 - 3/12.
37
Let n(s) = -136*s + 40*s + s**2 + 70*s + 97. Calculate the remainder when n(24) is divided by 33.
16
Let u be (74/(-4))/((-2)/(-4)). Let v be 48/(-4)*(-1 - (-18)/4). Let i = u - v. Calculate the remainder when 13 is divided by i.
3
Let l = -36 + 73. Suppose 4*k = 2*b - 8, -k = -4*b + 2*b + 8. Suppose 2*y = b*r - 4 + 16, -5*y + 3*r = -44. Calculate the remainder when l is divided by y.
7
Suppose 0 = d + 5*x - 3, -3*d + 0*x - 5*x = -19. Suppose 6*a - 5*p = 3*a + 73, -2*p + d = 0. Calculate the remainder when a is divided by 16.
15
Suppos | {
"pile_set_name": "DM Mathematics"
} |
0
Find the second derivative of 2*i**3*t**2 + 961*i**2*t**2 - 1547*i**2 + 154*i*t - 5279*t**2 wrt i.
12*i*t**2 + 1922*t**2 - 3094
What is the second derivative of -36652*d**2*w - 2*d*w - 3*d - 95*w + 6 wrt d?
-73304*w
What is the second derivative of -2154793*f**5 + 1553616*f + 2?
-43095860*f**3
What is the second derivative of 37*i**2*x**3 - 2*i**2*x**2 - 5*i**2*x + 56*i**2 + 2*i*x**3 + 90*i*x**2 - 61*x**3 wrt i?
74*x**3 - 4*x**2 - 10*x + 112
What is the second derivative of 3829*p**3 - 6*p - 1928?
22974*p
Find the second derivative of -229*q*s**3 + q*s - 4*q - 255*s**2 + 2*s + 792 wrt s.
-1374*q*s - 510
What is the second derivative of -6*l**5 - 3226*l**3 - 2*l**2 - 1548*l + 8 wrt l?
-120*l**3 - 19356*l - 4
What is the second derivative of 13*d**5 - 9276*d**3 + d**2 - 56596*d wrt d?
260*d**3 - 55656*d + 2
What is the second derivative of 50*b**4 + 752*b**3*v + 8*b*v + 5332*b wrt b?
600*b**2 + 4512*b*v
What is the third derivative of -27956*d**2*l**3 - 95*d**2*l**2 + 49*l**3 + 2803*l**2 wrt l?
-167736*d**2 + 294
Find the second derivative of 520832*d**2*q**3 + 3*d*q**3 - 91*d*q**2 + 70*d*q wrt d.
1041664*q**3
Differentiate 140994*b**3*l**2 - 104483*b**3 wrt l.
281988*b**3*l
What is the third derivative of 92416*f**3 + 2079*f**2 + f?
554496
Find the third derivative of -24701*g**5 - 47129*g**2 - 1 wrt g.
-1482060*g**2
What is the second derivative of -33790*u**2 - 5124*u wrt u?
-67580
Find the first derivative of 2*m**2*t - 210813*m**2 - 2*m*t**2 - 77068*m*t wrt t.
2*m**2 - 4*m*t - 77068*m
Find the second derivative of -4753610*g**3 + 275*g - 334.
-28521660*g
Find the second derivative of 2*m*u**5 + 26673*m*u**3 + 92694*m - 2*u wrt u.
40*m*u**3 + 160038*m*u
Find the third derivative of g**6 - 2*g**4 + 201016*g**3 - 427*g**2 - 2077 wrt g.
120*g**3 - 48*g + 1206096
What is the first derivative of -4*c**3*i - 82*c**2*i - 4*c*i - c + 29625*i + 2 wrt c?
-12*c**2*i - 164*c*i - 4*i - 1
Find the second derivative of 2557*b**2*v**4 - 20374*b**2*v - 3*b*v**4 wrt v.
30684*b**2*v**2 - 36*b*v**2
What is the derivative of -4716*n**2 + 59475?
-9432*n
Find the third derivative of 5*k*l**3*w**2 - 924*k*w**2 + 5*k*w - 186*l**3*w**2 - 31*l**3*w + 2*l**2*w - 2*l*w wrt l.
30*k*w**2 - 1116*w**2 - 186*w
Find the second derivative of -101100*z**4 + 60*z - 3442 wrt z.
-1213200*z**2
What is the third derivative of 3977*f**5 + 2*f**4 - 2*f**3 + 27520*f**2?
238620*f**2 + 48*f - 12
What is the second derivative of f**3*r - 2*f**3 + 3446*f**2*r + 36*f*r - 11*f - 2*r - 5 wrt f?
6*f*r - 12*f + 6892*r
Find the second derivative of -115*g**3 - 6287*g**2 + 15947*g - 61.
-690*g - 12574
What is the second derivative of -1128165*a**2 + 12950*a + 2 wrt a?
-2256330
Find the second derivative of 188782*u**3*z**2 - 1750*u*z + u + 8*z**2 wrt u.
1132692*u*z**2
What is the first derivative of -56*j*r**2 + 18*j*r - 544681*j - 30*r**2 - r wrt r?
-112*j*r + 18*j - 60*r - 1
Find the first derivative of -2*j**3*t - 88*j**2*t + 5*j**2 - 62665*t wrt j.
-6*j**2*t - 176*j*t + 10*j
What is the third derivative of k*v**2*x**4 + 903*k*v**2*x - 55754*k*x**4 - 2*v**2*x**2 + 2*v**2*x + 6 wrt x?
24*k*v**2*x - 1338096*k*x
Differentiate -4461643*k - 2445347 wrt k.
-4461643
What is the third derivative of -a**2*f**3*w + 4167*a**2*f*w**4 + 1523*a**2*f - 10*a*f**3*w**4 - 4*w**2 wrt w?
100008*a**2*f*w - 240*a*f**3*w
Differentiate -2408*c**3*k**2 + 13265*c**3 + c**2 + c*k**4 wrt k.
-4816*c**3*k + 4*c*k**3
What is the first derivative of 90*j**2 + 3339*j + 3402994?
180*j + 3339
Find the third derivative of -74584*b**3*c**3*r**2 - 2*b**3*r**2 + 66962*b**2*c*r**2 + 2*b*c**3*r wrt b.
-447504*c**3*r**2 - 12*r**2
Find the second derivative of 13098*v**3 + 41566*v.
78588*v
Find the first derivative of -1952*b**2*l*r + 23*b*l*r - 85908*l*r wrt b.
-3904*b*l*r + 23*l*r
What is the third derivative of a**3*b**2 - a**3*b*d - 567*a**3*d**2 + 88*a**2*b*d**2 + 3*a**2*b + a*b**2*d + 3*b**2 wrt a?
6*b**2 - 6*b*d - 3402*d**2
What is the second derivative of 14331*j**3*p - 2*j**3 + 358*j*p - j + p wrt j?
85986*j*p - 12*j
Find the second derivative of 37*h**2*j*x + 76*h**2*j + 2*h*j*x + 2*h*j + 4*h*x - 29*j - 17 wrt h.
74*j*x + 152*j
Find the second derivative of -y**4 - 590*y**3 - 295*y**2 - 517612*y.
-12*y**2 - 3540*y - 590
Find the third derivative of -3024*n**6 + 2*n**3 - 23*n**2 - 2*n - 29.
-362880*n**3 + 12
Find the third derivative of -7*n**3*z**3 + 14*n**3 + 4*n**2 - n*z**2 - 68*n + 7859*z**3 wrt z.
-42*n**3 + 47154
Find the second derivative of 6*k**2*o**3 + k**2*o - 21*k*o**3 + 900*k*o**2 - 548*k*o - 28 wrt o.
36*k**2*o - 126*k*o + 1800*k
What is the second derivative of -a**2*p**3 - a**2 - 25*a*p**3 - 6*a*p + 762*a + 134*p**2 - 3*p wrt p?
-6*a**2*p - 150*a*p + 268
What is the derivative of -320*k**3 + 3*k**2 - 167*k - 1463800?
-960*k**2 + 6*k - 167
What is the third derivative of 23442*q**6 - 351*q**2 + 33?
2813040*q**3
Find the first derivative of -308*z**2 + 48*z - 48167.
-616*z + 48
Find the second derivative of -6595*o**5 + o**2 - 205*o + 25.
-131900*o**3 + 2
Find the second derivative of -100779*j*r**3*w**2 - j*r**2*w + 2*j*r**2 + 2*r**3*w**2 + 21601*r**3*w wrt w.
-201558*j*r**3 + 4*r**3
What is the second derivative of -456405*i**3*x**2 + 13*i**3 + 3*i**2*x + 23*i*x - 2 wrt x?
-912810*i**3
What is the derivative of 47*w**3 + 80*w**2 - 6*w + 150778?
141*w**2 + 160*w - 6
What is the third derivative of 41*n**3*y**3 + n**3*y**2 + 405*n**2*y**6 + 13*n*y**2 + 8*y wrt y?
246*n**3 + 48600*n**2*y**3
What is the second derivative of 66857*m**4 - 2*m - 9044?
802284*m**2
What is the third derivative of -422984*c**3*u**3 + 2*c**3 + 8*c**2*u**3 + 20208*c*u**3 - u**2 wrt c?
-2537904*u**3 + 12
Find the second derivative of 942*c**2*x**3 + 441*c**2*x**2 + 2*c**2*x - 2*c*x**3 + 49*c*x + 2*c - 3 wrt c.
1884*x**3 + 882*x**2 + 4*x
Find the third derivative of -3225743*y**6 - y**4 + 62462*y**2 + 3*y - 4 wrt y.
-387089160*y**3 - 24*y
What is the second derivative of 1315*g**3 - 83*g**2 - 32387*g - 17?
7890*g - 166
What is the derivative of -181475*p*y - 415*y + 170 wrt p?
-181475*y
What is the derivative of 2705076*p - 619382?
2705076
Differentiate 2162*j**3*m**3 + 3*j*m**3 - 1004*m**3 - 11*m**2 with respect to j.
6486*j**2*m**3 + 3*m**3
Find the second derivative of 966*t**3*v**2 - 14*t**2*v**2 + t*v**2 + 2*t*v - t - 1581*v wrt t.
5796*t*v**2 - 28*v**2
What is the third derivative of 447*a**2*c**5 + 1819*a**2*c**2 + 8*a*c**6 + 7*c**2 wrt c?
26820*a**2*c**2 + 960*a*c**3
Find the first derivative of s**2*v**3 - 5353*s**2 - 40308*v**3 wrt s.
2*s*v**3 - 10706*s
What is the third derivative of 2229047*i**3*j**2 + i**2*j**2 - 491767*i**2 wrt i?
13374282*j**2
Find the second derivative of 1917*b**3 + 9*b**2 - 200*b + 184.
11502*b + 18
Find the second derivative of -2*g**5 - 49359*g**3 + 80008*g - 3 wrt g.
-40*g**3 - 296154*g
What is the second derivative of 58*f**5 - 637*f**2 - 77*f + 107?
1160*f**3 - 1274
Find the second derivative of 1011705*c**2 + 454923*c.
2023410
What is the first derivative of -6008*d**2*z - 3961837*d**2 + 2*d*z - 8*z wrt z?
-6008*d**2 + 2*d - 8
Find the second derivative of 183*r**5 - 7*r**3 + 12*r**2 - 2264807*r wrt r.
3660*r**3 - 42*r + 24
What is the third derivative of -171838*g**6 + 30378*g**2?
-20620560*g**3
Find the third derivative of 1501012*d**3 - 6289434*d**2.
9006072
What is the derivative of -138557*i**2 - 175366?
-277114*i
Differentiate -4*p*q**2 - 497*p*q - 944256*p + 2*q**2 + 67*q with respect to q.
-8*p*q - 497*p + 4*q + 67
What is the third derivative of -7*b**2*z**5 + 4*b**2*z**2 + 2*b**2*z - 341*b*z**2 - 4750*z**5 + 2 wrt z?
-420*b**2*z**2 - 285000*z**2
Find the second derivative of -26809*f**2*k**2 + 696*f**2 + k wrt k.
-53618*f**2
What is the second derivative of -919243*y**2 - 1110015*y wrt y?
-1838486
Find the second derivative of 83904*w**4 + 2*w**2 + w + 46375.
1006848*w**2 + 4
Find the third derivative of 99*z**5 - 1892*z**4 + 360*z**2 - 80 wrt z.
5940*z**2 - 45408*z
What is the second derivative of -2*n**5 - n**3 - 10188*n**2 - 109*n - 151?
-40*n**3 - 6*n - 20376
What is the second derivative of -5608*f*z**2 - 6*f*z - 538*f + 7*z**2 + 1 wrt z?
-11216*f + 14
Find the second derivative of -561*p**3*v**2 + 2*p**3*v + 1937*p**3 - 4*p**2*v**2 - 2*p**2*v + 10*p + 5*v**2 wrt v.
-1122*p**3 - | {
"pile_set_name": "DM Mathematics"
} |
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