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5, x: 8}. Give prob of picking 1 x and 1 k.
20/39
What is prob of picking 1 l and 1 h when two letters picked without replacement from rxhlp?
1/10
Calculate prob of picking 1 m and 1 u when two letters picked without replacement from ssmuf.
1/10
What is prob of picking 1 o and 3 q when four letters picked without replacement from {d: 2, k: 1, q: 6, f: 3, o: 2}?
40/1001
What is prob of picking 2 a when two letters picked without replacement from aaaaaaamaamaaammaa?
91/153
Calculate prob of picking 2 r when two letters picked without replacement from {j: 2, r: 4}.
2/5
What is prob of picking 1 w and 1 n when two letters picked without replacement from nnnnnnnnwnnnnwnwnn?
5/17
Four letters picked without replacement from yyyyrr. Give prob of picking 4 y.
1/15
Three letters picked without replacement from fffvffffvvff. What is prob of picking 1 v and 2 f?
27/55
What is prob of picking 1 z and 1 q when two letters picked without replacement from {q: 2, m: 1, o: 9, z: 2}?
4/91
Two letters picked without replacement from {b: 3, z: 3, o: 1, i: 1, s: 2}. Give prob of picking 1 b and 1 o.
1/15
Calculate prob of picking 1 i, 1 g, 1 c, and 1 e when four letters picked without replacement from {i: 1, q: 6, e: 3, u: 6, c: 2, g: 2}.
4/1615
Three letters picked without replacement from cffffcffffffcffffcff. What is prob of picking 3 c?
1/285
Two letters picked without replacement from {i: 3, n: 4, r: 1, g: 5}. What is prob of picking 2 n?
1/13
Three letters picked without replacement from {c: 1, o: 17}. What is prob of picking 1 c and 2 o?
1/6
What is prob of picking 2 s and 1 q when three letters picked without replacement from qqssssssqqssssssqsq?
156/323
What is prob of picking 2 w when two letters picked without replacement from llwwlllllllllw?
3/91
Two letters picked without replacement from {z: 4, t: 7}. What is prob of picking 2 t?
21/55
Three letters picked without replacement from sfksfskfskkkdkfdff. What is prob of picking 2 f and 1 d?
5/136
Three letters picked without replacement from {w: 7, u: 5, q: 1, r: 6}. What is prob of picking 2 w and 1 r?
42/323
What is prob of picking 2 e and 2 b when four letters picked without replacement from egebgbeb?
9/70
Two letters picked without replacement from ybdbf. What is prob of picking 1 f and 1 d?
1/10
What is prob of picking 1 u, 2 y, and 1 g when four letters picked without replacement from {f: 6, g: 3, u: 1, y: 3, q: 1}?
9/1001
Calculate prob of picking 3 s when three letters picked without replacement from sssssppsssps.
21/55
Two letters picked without replacement from {w: 2, p: 1, f: 1, t: 1, u: 1, b: 1}. What is prob of picking 1 t and 1 b?
1/21
Calculate prob of picking 1 g and 1 z when two letters picked without replacement from zzzgg.
3/5
Three letters picked without replacement from {b: 11, e: 2}. Give prob of picking 2 e and 1 b.
1/26
Calculate prob of picking 3 n when three letters picked without replacement from {p: 1, a: 5, k: 1, n: 3, z: 1}.
1/165
Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {l: 7, z: 2, h: 5, j: 3}.
21/136
Three letters picked without replacement from hxwhxlhtxhlhhtlhlhtl. What is prob of picking 1 h, 1 l, and 1 t?
2/19
Calculate prob of picking 2 t when two letters picked without replacement from atwalwtawaawkakaaaa.
1/171
Calculate prob of picking 2 a, 1 h, and 1 g when four letters picked without replacement from {g: 2, a: 3, h: 9, c: 4}.
3/170
What is prob of picking 2 i when two letters picked without replacement from {g: 2, u: 1, a: 1, v: 2, i: 2}?
1/28
Three letters picked without replacement from {h: 4, o: 4, z: 6, k: 4}. Give prob of picking 2 k and 1 z.
3/68
Three letters picked without replacement from {c: 1, y: 1, k: 1, x: 2, n: 2, f: 2}. What is prob of picking 2 x and 1 f?
1/42
What is prob of picking 3 b when three letters picked without replacement from ttttttttbtbttttbtttb?
1/285
Four letters picked without replacement from nnwnnwnnwnnnnnwnwn. What is prob of picking 3 w and 1 n?
13/306
What is prob of picking 1 v, 1 n, and 1 l when three letters picked without replacement from lllpcmlnclvcppv?
2/91
What is prob of picking 1 c and 3 q when four letters picked without replacement from {c: 8, q: 3}?
4/165
Four letters picked without replacement from {v: 2, d: 3}. What is prob of picking 1 v and 3 d?
2/5
Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {r: 2, j: 2, n: 1, t: 1}.
4/15
What is prob of picking 2 q and 2 y when four letters picked without replacement from qybybqyyrybbyyyuyuy?
15/1292
What is prob of picking 1 t and 3 s when four letters picked without replacement from {p: 2, t: 3, s: 4, q: 2}?
2/55
Four letters picked without replacement from cccccccf. Give prob of picking 4 c.
1/2
Three letters picked without replacement from {p: 3, y: 3, h: 1, l: 2, s: 1, q: 1}. Give prob of picking 1 h and 2 y.
1/55
What is prob of picking 1 z and 1 q when two letters picked without replacement from zczzzzcqtzznuzzzczt?
11/171
Two letters picked without replacement from {l: 2, y: 1}. Give prob of picking 1 y and 1 l.
2/3
Calculate prob of picking 1 b and 3 e when four letters picked without replacement from {e: 5, b: 2}.
4/7
Calculate prob of picking 2 t and 2 p when four letters picked without replacement from {e: 4, g: 1, t: 11, p: 2, y: 1}.
55/3876
Three letters picked without replacement from {k: 2, j: 4}. What is prob of picking 2 k and 1 j?
1/5
Two letters picked without replacement from dxdxdddx. Give prob of picking 1 x and 1 d.
15/28
What is prob of picking 3 x when three letters picked without replacement from {a: 1, k: 1, x: 3, m: 1, s: 1}?
1/35
What is prob of picking 1 y, 2 n, and 1 h when four letters picked without replacement from {o: 6, y: 1, h: 2, n: 2, v: 1}?
2/495
What is prob of picking 2 p and 2 g when four letters picked without replacement from {p: 1, h: 2, g: 4, f: 8}?
0
Calculate prob of picking 3 r when three letters picked without replacement from {s: 7, r: 6}.
10/143
Four letters picked without replacement from {y: 10, u: 4, f: 6}. What is prob of picking 2 f and 2 y?
45/323
Two letters picked without replacement from kkudddcddkcd. What is prob of picking 1 u and 1 k?
1/22
Two letters picked without replacement from {k: 2, j: 7}. What is prob of picking 2 j?
7/12
Two letters picked without replacement from {c: 9, r: 2}. Give prob of picking 2 r.
1/55
Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbbbnbbbnbbbb.
91/153
Calculate prob of picking 2 j and 1 r when three letters picked without replacement from {j: 10, r: 2}.
9/22
Three letters picked without replacement from {d: 6, o: 5, i: 2}. What is prob of picking 3 d?
10/143
What is prob of picking 2 y, 1 x, and 1 c when four letters picked without replacement from yyychcykckjyx?
6/143
Calculate prob of picking 1 i and 3 x when four letters picked without replacement from {i: 2, j: 6, x: 11}.
55/646
What is prob of picking 2 c when two letters picked without replacement from {l: 1, c: 3}?
1/2
What is prob of picking 2 d and 1 m when three letters picked without replacement from {d: 2, x: 9, s: 3, m: 3}?
3/680
What is prob of picking 1 l and 1 o when two letters picked without replacement from locus?
1/10
Calculate prob of picking 2 y when two letters picked without replacement from {y: 4}.
1
What is prob of picking 2 t when two letters picked without replacement from tttt?
1
Two letters picked without replacement from kbbkkkkkkbbkbk. What is prob of picking 2 b?
10/91
Calculate prob of picking 2 g when two letters picked without replacement from {v: 1, g: 2}.
1/3
Four letters picked without replacement from qqqqmqqqqqqqqqqqqq. Give prob of picking 4 q.
7/9
What is prob of picking 1 t and 1 s when two letters picked without replacement from sszzstszzszstss?
16/105
Two letters picked without replacement from {f: 5, e: 5, i: 2}. What is prob of picking 2 e?
5/33
What is prob of picking 1 k, 1 c, and 1 n when three letters picked without replacement from xkzncnhxzcnh?
3/110
Two letters picked without replacement from tvhvjbjhhjff. Give prob of picking 1 t and 1 h.
1/22
Three letters picked without replacement from {y: 2, a: 2, t: 1, j: 1, x: 5, g: 2}. What is prob
|
{
"pile_set_name": "DM Mathematics"
}
|
2*l**2 + 9*l**3 + 7*l**3 - 15*l**w - 4*l. Give z(p).
13
Let r be ((-10)/(-4))/((-3)/6). Let j be 1 - (-2)/(-4 - r). Let n(t) = 2*t**j - 783 + 4*t**2 + 783. Calculate n(-3).
-18
Let c(y) = 93*y - 52*y - 45*y + y**2. Let l be c(4). Let h(v) be the first derivative of -v**4/4 - 5*v - 1. Give h(l).
-5
Let p(f) be the first derivative of 11*f**4/4 - 76*f**3/3 - 4*f**2 + 4*f + 9454. Give p(7).
-3
Let h = 408 + -408. Let j(x) = -x**2 + x - 22. Give j(h).
-22
Let q(k) = -8*k**3 - 41*k**2 + 2*k - 13. Let a(z) = -5*z**3 - 19*z**2 + z - 6. Let h(o) = 13*a(o) - 6*q(o). Give h(1).
-17
Let g(z) be the first derivative of 33 + 0*z + 1/2*z**3 - 1/12*z**4 + 33/2*z**2. Let t(q) be the second derivative of g(q). Calculate t(-7).
17
Let i(k) = -k**3 - 2*k - 3. Let o(r) = 45*r - 180. Let g be o(4). Determine i(g).
-3
Let d(l) = l**3 - 10*l**2 + 0 - 205*l + 196*l + 8 + 9*l**2. Determine d(4).
20
Let y(j) = -3*j**2 - 43 - 4*j + 4*j**2 + 36. Let u be y(6). Let o(g) = 2 - u*g**2 + 2*g**2 + 4*g**2 - 3*g. What is o(3)?
2
Suppose 0 = 5*o - i + 18, 0*o - o - 2*i - 8 = 0. Let g be (-42)/10 - o - 4/5. Let u(q) = -6*q - 1. Calculate u(g).
5
Let y(f) be the second derivative of f**3/3 - 59*f**2/2 - 201*f - 2. What is y(23)?
-13
Let d be (0/(-35))/(-2*(3 + 0)). Let o(u) = -7 - u - 148*u**2 - 154*u**2 + 301*u**2. Calculate o(d).
-7
Suppose -5*c + 2*n + 87 = 0, 153 - 46 = 5*c + 3*n. Let b(i) = i**3 - 20*i**2 + 23*i - 83. What is b(c)?
-7
Let o(g) = -g + 2. Let a(t) = t**2 - 13*t - 1. Let n(p) = -a(p) + 4*o(p). Calculate n(9).
9
Let h(j) = -j**2 + 9*j + 3. Suppose 0*y + 3*y - 27 = 0. Let u be h(y). Let s(f) = 3 - 4*f - 5 + 2 - 4 + f**u + 4*f**2. Calculate s(-4).
12
Suppose 0 = 3*s - 5 - 13. Let n(q) be the first derivative of -q**4/4 + 2*q**3 + q**2/2 - 8*q - 10. Determine n(s).
-2
Let k(n) = -35*n - 146. Let p = -22768 + 22764. Calculate k(p).
-6
Let m(c) = -c**2 + c + 50. Suppose l + 2*i - 13 = 0, -3 = 260*i - 261*i. Give m(l).
8
Let z(d) = 8*d**2 + 3692*d - 1237*d + 3 - 1228*d - 1229*d. Give z(2).
31
Let x(t) = -t**3 - 23*t**2 + 23*t - 22. Let m be x(-24). Let f(u) = -6*u**2 - 5*u**2 + 6*u - 17 - u**3 + 6 + 4*u**m. Calculate f(-8).
5
Let u = 51 - 36. Suppose i + 32 = -u*i. Let b(z) = -6*z. Determine b(i).
12
Suppose 0 = 2*w - 7*w + 15. Let a(g) = 1 + 721*g**w + 719*g**3 - 1441*g**3 + g + 4*g**2. Determine a(5).
-19
Let i(u) = 8*u. Let f be i(3). Suppose -8 = 23*l - f*l. Let h(w) = w - 2 + 0*w + 2 - 4. What is h(l)?
4
Let f be -12*1/(-28)*7. Let y be ((-4)/((-40)/6))/(f/(-15)). Let x(k) = -k**2 + 1 + 6*k - 2*k + 1. What is x(y)?
-19
Let g(w) = -2*w**3 - w**2 + 13*w + 2. Let z be g(-3). Let x = z - 9. Let i(j) be the first derivative of -10*j**3/3 + j + 1. What is i(x)?
-9
Let t(l) = 6 + 0 - 3*l - 27. Let z(a) = -8*a - 60. Let m(p) = -17*t(p) + 6*z(p). Calculate m(7).
18
Let b be ((-9)/4)/(57/(-76)). Let t(i) = -7 + i**2 - b + 0 + 5 - 3*i. What is t(7)?
23
Let p(f) = f**3 - 6*f**2 + 8*f - 7. Let v = 39 + -27. Let l be 1/(v/9)*4. Suppose 0 = -3*b - l + 18. Calculate p(b).
8
Let k(a) be the first derivative of a**3/3 + 5*a**2/2 + 5*a + 8301. Let w = 7 - 16. Give k(w).
41
Let l = 6 + -4. Let h(r) be the first derivative of 0*r - 11 + 3*r + 7*r**2 - 3*r**2 - 5*r**l. Determine h(5).
-7
Let a(l) = 13*l**3 - 10*l + 47. Let p(g) = 88*g**3 - g**2 - 72*g + 328. Let j(b) = -27*a(b) + 4*p(b). Give j(6).
7
Suppose -14*h - 39*h + 3657 = 0. Let d(g) = -142 + h + 10*g + 70. What is d(-3)?
-33
Let d(x) = -x**3 - 6*x**2 + 6*x - 2. Suppose 64 = -21*y + 211. Suppose 0 = 52*t - 51*t + y. Determine d(t).
5
Let s = 5 - 1. Let z = 33 - 26. Suppose z*d + 3 = s*d. Let m(j) = j + 1. Calculate m(d).
0
Suppose 3*p - 4*h = -24, -3*p + 72 - 96 = -2*h. Let x(g) = g**2 + 9*g - 2. Give x(p).
-10
Let v = -593639/24 + 24735. Let u(c) be the third derivative of -35*c**2 + 0*c - 1/60*c**5 + 0 + v*c**4 + 0*c**3. What is u(-1)?
-2
Let a(z) = z**2 - 4*z + 7. Let y(p) = 9*p**2 + 5*p - 3. Let j(r) = -7*r**2 - 4*r + 2. Let f(u) = -5*j(u) - 4*y(u). Let l(b) = a(b) - 2*f(b). Determine l(3).
18
Let y(n) = -7*n**3 - n**2 - n - 1. Let a(b) = -9*b + 95. Let o be a(9). Suppose 19*r - 21*r + o = -4*g, 5*r = -2*g + 23. What is y(g)?
6
Let n = -20 - -22. Suppose 5*m - 32 = -n. Let t(z) = -z**2 - 6*z + 7. Let w(k) = 6*k**2 + 30*k - 34. Let u(d) = 11*t(d) + 2*w(d). Determine u(m).
9
Let s(g) = g**2 - 5*g - 7. Let x(h) = -3*h**2 - 13*h - 17. Let b be x(-5). Let o be -31 + -1 - 0/3. Let r = b - o. What is s(r)?
-7
Let z(r) = -r**2. Suppose -n + 11 = 1273*a - 1271*a, a - 9 = 0. Calculate z(n).
-49
Let z(m) = 3*m - 21 - m**2 - 24 + 71 + 2*m. Calculate z(7).
12
Let n(m) be the second derivative of -m**5/20 + m**4/2 - 5*m**3/6 - 3*m**2/2 + 520*m. Give n(5).
-3
Let b(h) = -h**2 + 7*h - 3. Let s(p) = 5 + 7 - 26 + 12. Let n(d) = -b(d) + 4*s(d). Calculate n(6).
-11
Suppose 6*u - u - 45 = 0. Let l(d) = -26 - u + 6*d**2 + 35. Let n = 10 - 11. Determine l(n).
6
Suppose 8*o - 119 + 151 = 0. Let g be o/(16/6) + 8/(-16). Let j(h) = -h**3 + 2*h + 2. Determine j(g).
6
Let x be 6 + -2 + 3 - 13. Let v(m) = -2*m**2 - 13*m + 8. Calculate v(x).
14
Suppose 2*t - 6*y = -y + 272, -574 = -4*t - 5*y. Suppose 7*l = t + 496. Let m(f) = 2*f - l - 99 + 184. Determine m(6).
6
Let n(o) = -4*o**3 - o**2 - 4*o - 5. Let s(p) = 5*p**3 + 3*p**2 + 3*p + 6. Suppose -16*g + 38 = 118. Let m(a) = g*s(a) - 6*n(a). Give m(-10).
10
Let b be 32/(-4) + 8 - 28*10. Let t be 2/(-23) + b/(-46). Let r(v) = 7*v + 3*v**2 - 4*v**2 - 2*v + 1. Determine r(t).
-5
Suppose -l = -57*l - 1848. Let x(k) = -2*k - 58. Calculate x(l).
8
Let l be (195/(-6))/(-13)*2. Let j be 2 + -5 + (50/5 - l). Let v(f) = f**2 - 3*f + 5. Determine v(j).
3
Suppose 379 = -35*z + 519. Let i(b) be the first derivative of 8*b - 14 + 1/2*b**2 + 1/4*b**z + 2*b**3. Calculate i(-6).
2
Let p(i) = -5*i - 12 - 4*i**2 - i**2 + 4*i**2. Let z(v) = v. Let b(y) = -p(y) + 4*z(y). Let x = -3861 + 3853. Calculate b(x).
4
Let o(x) = 5*x + 1. Let p(b) = -16*b + 12. Let q(i) = 3*o(i) + p(i). Determine q(5).
10
Let q(i) = -7*i + 3. Let k be q(-6). Suppose -k = 9*d - 4*d. Let z(f) = 0*f - 11*f - 13 - 10*f**2 + 0*f**3 - 3*f**3 + 2*f**3. Give z(d).
5
Let x be 30/50 - -4 - (56/(-20))/7. Let a(l) = 19*l - 83. What is a(x)?
12
Let p = -23 - -61. Let x = 39 - p. Suppose 0 = 3*t - g + 4 - x, 4*t = 3*g + 1. Let i(w) = -2*w**2 - 2*w. Determine i(t).
-4
Let y(q) = q**3 + 9*q**2 - q - 3. Let k be y(-9). Let l(z) be the third derivative of z**6/120 - 7*z**5/60 + z**4/8 + z**3 + 323*z**2. What is l(k)?
-12
Let g(h) = h**3 - 22*h**2 + 40*h + 11. Let u be -14 + ((-48)/(-6) - -26). Give g(u).
11
Let w(m) = -m**3 - 10*m**2 - 6*m + 13. Suppose 18*t = h + 23*t - 6, 0 = 5*h - 4*t + 57. What is w(h)?
-14
Let j(r) = r**3 - 2*r**2 - 2*r - 90. Let z = -18641 - -18641. Give j(z).
-90
Let t(w) = -4*w - 1. Let l(m) = m**3 + 5*m**2 - 6*m + 7. Let k be l(-6). Suppose -6*z = -k - 77. Let x be ((-8)/z)/(90/(-63))*-10. What is t(x)?
15
Suppose -11*w = -7*w - 5*i - 7, w = -2*i + 18. Let v be (w/10)/(-5*8/600). Let t(f) = -f**2 - 12*f + 14. Determine t(v).
14
Let v(t) be the first derivative of 2*t**3 - 20*t**2 - 41*t - 3322. Give v(-1).
5
Let s(l) = 6*l**3 - 7*l**2 + 4*l + 5. Let m(z) = -5*z**3 + 4*z**2 - 5*z - 5. Let g(i) = -5*m(i) - 4*s(i). Give g(-6).
23
Suppose 559 = -209*i - 1322. Let j(z) = z**3 + 7*z**2 - 18*z + 3. Calculate j(i).
3
Let k(z) be the third derivative of -8*z - 1/30*z**5 + 1/4*z**4 + 0*z**3 - 4*z**2 + 0. Give k(4).
-8
Let q(v) = -v**2 + 33*v - 104. Suppose 0 = -5*c - 4*a + 157, -10*c - 2*a = -8*c - 64. Give q(c).
12
Let h(y) = -3 - 4 + 10 - 3*y. Suppose 8*g + 12 = 28. What is h(g)?
-3
Let i(b) = -3*b - 12. Suppose 149*d + 9 = -5*m + 150*d, 0 = 5*m - 3*d + 7. Calculate i(m).
-6
Let p = -68 + 70. Let k(t) = -8*t**p - 84*t - 9 + t**3 + 85*t + 9*t**2. Give k(0).
-9
Suppose -8*u + 1 = -15. Let p(f) = f**u + 3*f**2 + 5*f + 10 - 5*f**2. Determine p(7).
-4
Let u be ((-3)/(-6) - 1)*0/(-2). Suppose 59*k - 53*k = u. Let o(m) = -m - 12. Calculate o(k).
-12
Let j(k) = 59*k + 7. Let n(v) = 172*v + 19. Let t(p) = -11*j(p) + 4*n(p). What is t(-2)?
-79
Let q(t) = -515*t - 27302. Let z be q(-53). Suppose 0 = 4*n - 7 - 5. Let v(g) = g + 2 - n + 3. Calculate v(z).
-5
Let r(z) = 3*z + 81. Let w be r(-26). Let q(b) = b**w + 10*b**2 - 25*b**2 + 15*b - 20 - 17*b + 17*b.
|
{
"pile_set_name": "DM Mathematics"
}
|
16?
112095
What is the next term in 13479, 26844, 40209, 53574?
66939
What comes next: -320238, -320240, -320244, -320250, -320258, -320268, -320280?
-320294
What is the next term in -6681, -13770, -20859, -27948, -35037, -42126?
-49215
What is the next term in 18579, 18783, 18987, 19197, 19419, 19659, 19923, 20217?
20547
What is the next term in 1256716, 2513427, 3770138, 5026849?
6283560
What is the next term in 2336, 4589, 8346, 13607, 20372, 28641?
38414
What is next in 4499, 4517, 4549, 4595, 4655, 4729, 4817?
4919
What is next in -8456, -33734, -75840, -134774, -210536, -303126, -412544?
-538790
What is the next term in -153918, -307793, -461668, -615543, -769418?
-923293
What is the next term in 201923, 807810, 1817779, 3231956, 5050467, 7273438, 9900995?
12933264
What is next in -10062968, -20125935, -30188902, -40251869, -50314836, -60377803?
-70440770
What is the next term in -1424516, -2849032, -4273548, -5698064, -7122580?
-8547096
What comes next: -10864117, -10864120, -10864123?
-10864126
What is next in 325860, 651708, 977558, 1303410, 1629264, 1955120?
2280978
What is next in -299503, -299507, -299521, -299551, -299603, -299683, -299797, -299951?
-300151
What is next in -35120, -140441, -315980, -561737?
-877712
What is next in 1481, 6251, 14817, 27683, 45353, 68331, 97121?
132227
What comes next: 43387932, 43387937, 43387942?
43387947
What is the next term in 733544, 1466935, 2200166, 2933231, 3666124, 4398839?
5131370
What is the next term in -3042805, -6085593, -9128379, -12171163, -15213945, -18256725, -21299503?
-24342279
What comes next: -11106905, -11106924, -11106955, -11106998, -11107053, -11107120?
-11107199
What is the next term in 36812, 36907, 37030, 37187, 37384, 37627, 37922, 38275?
38692
What is next in -2348, -8344, -18332, -32306, -50260?
-72188
What is the next term in 2070, 2328, 2710, 3216, 3846, 4600, 5478?
6480
What is the next term in -5617975, -11235949, -16853923, -22471897?
-28089871
What comes next: 928876, 1857717, 2786558?
3715399
What is the next term in 109222748, 109222746, 109222744, 109222742?
109222740
What comes next: -33, -27, -163, -543, -1269, -2443, -4167?
-6543
What is next in 22274, 89687, 202044, 359345, 561590, 808779, 1100912?
1437989
What is next in 6311150, 6311163, 6311176, 6311189, 6311202?
6311215
What is next in 1254, 1252, -1258, -7530, -18818, -36376?
-61458
What is next in -250179, -249755, -249331, -248907?
-248483
What comes next: -6651, -14158, -21685, -29232, -36799?
-44386
What comes next: 3773, 30282, 102331, 242690, 474129, 819418, 1301327?
1942626
What is the next term in -248670, -497370, -746072, -994776, -1243482, -1492190?
-1740900
What is next in -585875, -1171491, -1756839, -2341913, -2926707, -3511215, -4095431, -4679349?
-5262963
What comes next: -21758, -21764, -21766, -21764?
-21758
What is next in 574, 2094, 4680, 8332, 13050?
18834
What comes next: -937291232, -937291236, -937291252, -937291286, -937291344, -937291432, -937291556?
-937291722
What comes next: -30665, -57906, -85147, -112388, -139629?
-166870
What is the next term in 231249, 231233, 231217?
231201
What is next in -28929, -58120, -87575, -117294, -147277?
-177524
What is the next term in -53415, -107148, -161201, -215568, -270243, -325220?
-380493
What comes next: -2446, -2926, -4162, -6532, -10414, -16186?
-24226
What comes next: 7623, 2023, -7325, -20433, -37313, -57977, -82437, -110705?
-142793
What is the next term in 1504083, 1504113, 1504155, 1504215, 1504299, 1504413?
1504563
What is the next term in -84537, -168495, -252453?
-336411
What comes next: -88335, -87658, -86979, -86298, -85615, -84930?
-84243
What is the next term in 2362, 1507, 74, -1937?
-4526
What is next in 5525, 5191, 4857, 4523, 4189?
3855
What is the next term in 1896, -3678, -18812, -48288, -96888, -169394, -270588?
-405252
What is the next term in -275, -542, -665, -560, -143, 670, 1963?
3820
What is the next term in 94692, 190034, 285376, 380718, 476060, 571402?
666744
What comes next: -1474560, -2949107, -4423654, -5898201, -7372748, -8847295?
-10321842
What comes next: -12819, -25768, -38845, -52050?
-65383
What comes next: -6388, -50997, -172030, -407683, -796152, -1375633, -2184322?
-3260415
What is the next term in 2595801, 5191571, 7787343, 10383117, 12978893, 15574671, 18170451?
20766233
What comes next: 24596, 98750, 222334, 395348?
617792
What is the next term in -2157709, -2157331, -2156701, -2155819, -2154685, -2153299?
-2151661
What is the next term in -110600501, -221201000, -331801499?
-442401998
What is the next term in -37576, -300311, -1013408, -2402035, -4691360, -8106551?
-12872776
What is the next term in 7152170, 14304345, 21456520, 28608695, 35760870?
42913045
What is the next term in 658, -9166, -18990, -28814?
-38638
What is next in 6885332, 6885383, 6885430, 6885473, 6885512?
6885547
What is next in 11542, 29188, 46834, 64480, 82126, 99772?
117418
What comes next: 164755, 173818, 182881, 191944, 201007?
210070
What is next in 19242, 42594, 65946?
89298
What comes next: 5542070, 11084140, 16626210, 22168280, 27710350, 33252420?
38794490
What is the next term in -6838689, -6838687, -6838685?
-6838683
What is the next term in -355, -3049, -10349, -24547, -47935, -82805, -131449, -196159?
-279227
What comes next: -34190, -68146, -101882, -135398, -168694, -201770?
-234626
What is next in -55282, -55219, -55114, -54967, -54778?
-54547
What is next in 11723, 94524, 319229, 756776, 1478103, 2554148, 4055849, 6054144?
8619971
What is next in -20, -178, -552, -1244, -2356, -3990, -6248, -9232?
-13044
What comes next: 1243660, 1244018, 1244366, 1244698, 1245008, 1245290, 1245538, 1245746?
1245908
What comes next: 3115009, 12460012, 28035023, 49840048, 77875093, 112140164?
152635267
What is next in -108924, -217836, -326772, -435738, -544740, -653784, -762876, -872022?
-981228
What is the next term in -3323296, -6646621, -9969922, -13293187, -16616404, -19939561, -23262646, -26585647?
-29908552
What comes next: -631617, -1263257, -1894897?
-2526537
What is the next term in 108507, 228836, 349163, 469488, 589811, 710132, 830451?
950768
What comes next: -351817, -351811, -351805, -351799, -351793, -351787?
-351781
What is next in -17840, -40632, -63424?
-86216
What is next in 213964, 213806, 213566, 213262, 212912, 212534, 212146, 211766?
211412
What is next in 1099190, 2198422, 3297650, 4396874, 5496094, 6595310, 7694522?
8793730
What is next in -21333425, -21333430, -21333445, -21333476, -21333529, -21333610?
-21333725
What is next in 12550, 25156, 37758, 50356, 62950, 75540?
88126
What is the next term in -101463, -405942, -913435, -1623942, -2537463, -3653998?
-4973547
What is next in 1610195, 1610194, 1610193, 1610192, 1610191, 1610190?
1610189
What is the next term in -492787725, -492787727, -492787729?
-492787731
What is the next term in 3324612, 6649222, 9973830, 13298436, 16623040?
19947642
What comes next: -975026, -974987, -974922, -974831, -974714?
-974571
What is next in -32635997, -32636008, -32636019, -32636030, -32636041?
-32636052
What comes next: -5802487, -5802589, -5802869, -5803417, -5804323, -5805677, -5807569, -5810089?
-5813327
What is next in 7417191, 7417189, 7417187, 7417185?
7417183
What comes next: -36653317, -36653313, -36653309, -36653305, -36653301?
-36653297
What comes next: -13337, -26675, -40021, -53381, -66761, -80167, -93605?
-107081
What is next in -6913, -13875, -20837, -27799, -34761, -41723?
-48685
What is next in -121299, -242598, -363895, -485190, -606483, -727774, -849063?
-970350
What comes next: -371777, -743629, -1115479, -1487327, -1859173, -2231017?
-2602859
What comes next: -4624, -19437, -44074, -78493, -122652, -176509, -240022?
-313149
What comes next: 2895, 10338, 22741, 40104, 62427?
89710
What is next in 9673, 12543, 15413, 18283?
21153
What comes next: 4106987, 8213990, 12320993, 16427996, 20534999, 24642002?
28749005
What is next in -21321, -42611, -63915, -85239, -106589?
-127971
What comes next: -11641, -22701, -33761, -44821?
-55881
What is the next term in -4672484, -4672485, -4672486?
-4672487
What is next in 521152, 521210, 521268, 521326, 521384?
521442
What is the next term in 22017, 44832, 68449, 92868, 118089, 144112?
170937
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
3097
Calculate the highest common factor of 46788 and 4067.
7
Calculate the greatest common factor of 110 and 154274615.
55
Calculate the greatest common divisor of 40 and 6247328.
8
Calculate the greatest common factor of 6056 and 1936.
8
What is the greatest common factor of 576 and 2954208?
96
What is the greatest common factor of 192 and 241849080?
24
Calculate the greatest common divisor of 16129771 and 7105.
1421
What is the highest common factor of 1313 and 325079913?
101
What is the greatest common divisor of 3567945 and 6045?
465
What is the highest common divisor of 262 and 7232903?
131
Calculate the highest common factor of 14120 and 629360.
40
Calculate the highest common factor of 363116 and 20644.
52
What is the greatest common factor of 1312203 and 93?
3
Calculate the highest common factor of 433096 and 301.
43
Calculate the highest common factor of 8884097 and 33896.
223
What is the greatest common factor of 222505 and 350?
5
Calculate the greatest common divisor of 216 and 1034883.
27
What is the highest common divisor of 98316 and 62898?
6
What is the greatest common factor of 50949 and 4293?
81
Calculate the highest common divisor of 73878989 and 1283.
1283
What is the greatest common factor of 8350688 and 64?
32
Calculate the highest common divisor of 27 and 17309907.
9
What is the highest common factor of 537117 and 777?
21
Calculate the highest common divisor of 23170 and 18144.
14
Calculate the highest common factor of 133 and 23963940.
133
Calculate the highest common factor of 715176 and 1057672.
616
Calculate the highest common divisor of 1184 and 86211184.
592
What is the greatest common divisor of 3724 and 1267545328?
3724
Calculate the greatest common divisor of 89196300 and 345.
345
What is the greatest common divisor of 11 and 575184709?
11
What is the greatest common factor of 191910 and 885?
15
What is the highest common divisor of 23012424 and 1377?
1377
What is the highest common divisor of 6956 and 1172?
4
Calculate the greatest common divisor of 14898719 and 2563.
2563
Calculate the greatest common divisor of 7311396 and 8.
4
Calculate the greatest common divisor of 1187607 and 3634.
79
Calculate the greatest common divisor of 90970 and 247841.
11
What is the highest common factor of 25 and 784115?
5
Calculate the highest common factor of 5502725 and 53.
53
Calculate the highest common factor of 8073440 and 32240.
80
Calculate the highest common divisor of 22608 and 119808.
144
Calculate the greatest common factor of 481 and 44478668.
13
What is the highest common divisor of 180464 and 134192?
16
Calculate the greatest common factor of 2325969 and 6453.
27
What is the greatest common factor of 5973486 and 77653?
1159
Calculate the greatest common factor of 34991 and 17899487.
3181
What is the highest common factor of 305259 and 621576?
291
What is the greatest common factor of 235507 and 221743?
31
What is the greatest common divisor of 125 and 118636975?
25
What is the highest common divisor of 702 and 378715545?
117
What is the highest common factor of 1025516 and 2?
2
Calculate the greatest common divisor of 65590 and 21630.
70
What is the highest common factor of 12616800 and 6600?
600
Calculate the highest common factor of 54 and 28631835.
9
What is the highest common factor of 3332 and 1925046?
34
What is the greatest common divisor of 423901 and 1022807?
3889
Calculate the greatest common factor of 5504 and 153024.
64
What is the highest common divisor of 5808 and 79536?
48
What is the highest common factor of 5451 and 5987889?
69
What is the greatest common factor of 3199 and 6881?
7
What is the greatest common factor of 21743820 and 2520?
1260
Calculate the greatest common factor of 4 and 42602282.
2
What is the highest common divisor of 45028442 and 38?
38
Calculate the greatest common factor of 690039 and 1491.
21
Calculate the greatest common factor of 847242408 and 32.
8
Calculate the greatest common divisor of 2106544 and 1408.
176
Calculate the greatest common factor of 13632 and 146152.
8
What is the greatest common factor of 347234632 and 172?
172
What is the highest common factor of 35223 and 3221400?
177
Calculate the greatest common divisor of 437296 and 656.
16
What is the greatest common factor of 232957712 and 184248?
6824
What is the highest common divisor of 718750 and 782?
46
Calculate the greatest common factor of 122519 and 4250.
17
Calculate the highest common factor of 4071880 and 280.
40
Calculate the greatest common factor of 12749978 and 9694.
74
Calculate the greatest common factor of 328 and 42351073.
41
Calculate the highest common factor of 168552 and 1440.
72
Calculate the greatest common factor of 5980787 and 408.
17
Calculate the highest common factor of 2920131 and 3152.
197
Calculate the greatest common factor of 11148454 and 1994.
1994
Calculate the highest common divisor of 2935 and 108921959.
587
Calculate the highest common factor of 256850 and 4800.
50
What is the greatest common factor of 3360 and 362145?
105
Calculate the highest common divisor of 79524208 and 64.
16
Calculate the highest common divisor of 559 and 562739151.
559
Calculate the highest common factor of 896 and 29119258.
14
What is the highest common divisor of 13857 and 889359?
93
Calculate the highest common factor of 8208 and 10327272.
24
What is the greatest common divisor of 1837813 and 76?
19
Calculate the greatest common divisor of 1785 and 1118955.
15
Calculate the greatest common divisor of 335 and 309808.
67
Calculate the highest common divisor of 16656400 and 400.
400
What is the greatest common divisor of 8762742 and 4374?
162
What is the highest common factor of 21 and 32620?
7
Calculate the greatest common factor of 4983 and 34744798.
1661
Calculate the greatest common divisor of 9792 and 878544.
144
What is the highest common factor of 7944 and 390119248?
2648
What is the greatest common divisor of 150 and 90401760?
30
Calculate the highest common factor of 320 and 34726480.
80
What is the highest common factor of 1664 and 129686752?
416
What is the highest common factor of 1476 and 30625032?
492
What is the highest common divisor of 10131 and 1440483?
33
What is the greatest common factor of 3 and 39482343?
3
What is the greatest common factor of 109089 and 117?
9
Calculate the greatest common divisor of 3081987 and 113661.
657
What is the greatest common factor of 12105588 and 80868?
3516
Calculate the highest common factor of 91574 and 200074.
434
What is the greatest common divisor of 11958813 and 270?
27
Calculate the highest common factor of 2764 and 5504.
4
Calculate the highest common divisor of 585880 and 72944.
776
What is the greatest common factor of 110619 and 18649544?
4097
What is the highest common factor of 4479168 and 59520?
192
Calculate the highest common factor of 69 and 31340467.
23
What is the greatest common factor of 19907489 and 4876?
1219
Calculate the highest common divisor of 66250 and 1491950.
2650
Calculate the highest common divisor of 330 and 3769230.
30
Calculate the highest common divisor of 1038 and 26725386.
1038
What is the greatest common divisor of 90450 and 463350?
150
Calculate the highest common divisor of 31276593 and 9.
9
Calculate the greatest common divisor of 6018 and 19305921.
177
Calculate the highest common divisor of 1601 and 751735141.
1601
Calculate the highest common divisor of 2400 and 84786150.
150
Calculate the greatest common divisor of 191 and 48900011.
191
Calculate the greatest common divisor of 16 and 265352.
8
Calculate the greatest common divisor of 657199 and 217571.
2243
Calculate the highest common divisor of 16227 and 134810310.
1803
What is the highest common factor of 36038736 and 1044?
36
Calculate the greatest common divisor of 970 and 390683990.
970
Calculate the greatest common divisor of 117440 and 385280.
320
Calculate the highest common divisor of 32 and 198692.
4
Calculate the greatest common divisor of 237153494 and 292.
146
What is the highest common divisor of 8482966 and 340?
34
What is the greatest common divisor of 199 and 15691747?
199
Calculate the greatest common factor of 304804 and 31996.
1684
What is the greatest common divisor of 11998 and 7167091?
857
Calculate the greatest common div
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(15)/(sqrt(5) - (sqrt(5) - sqrt(5)*-2)) - (sqrt(243) + sqrt(243)*1))*-5).
8*sqrt(13)/185
Simplify (5 + -5 + 1 + (-4 + (sqrt(1539)*1)**2 - ((sqrt(1539) - (sqrt(1539) - (sqrt(1539) - (sqrt(1539) - (2 + sqrt(1539)))))) + -2)**2))*4.
-12
Simplify (((1*sqrt(4032) + 0)*-3 - (sqrt(4032) + (sqrt(4032)*-1 + sqrt(4032))*4 - (1*sqrt(4032) + 5)))**2 + -3)*6*-1.
-217860 + 4320*sqrt(7)
Simplify -4*((2*(1*sqrt(242)*2*-5 + -6*(-1 + sqrt(242)) + (sqrt(242) - (0 + sqrt(242))) + -5))**2 + 1).
-991252 + 5632*sqrt(2)
Simplify (3*(1 + ((sqrt(405) - ((sqrt(405)*3 - sqrt(405)) + 2)) + sqrt(405) - sqrt(405)) - (sqrt(405) + -4 + sqrt(405) + 1 + sqrt(405) + -1))*6)**2.
-69984*sqrt(5) + 2102436
Simplify -5 + (-2*sqrt(153) - sqrt(153)) + 1 + -2 + ((sqrt(153)*2 + 5 + (sqrt(153) - (-4 + -2*sqrt(153))))*6)**2 + -3.
9711*sqrt(17) + 140607
Simplify (((sqrt(108) - (sqrt(108)*-2 + 4))*-4*4 + 1)*-1*-2)**2.
-149760*sqrt(3) + 1012228
Simplify ((6*sqrt(154)/(2*sqrt(112) + sqrt(112)))/(sqrt(2) + sqrt(72) + -1*sqrt(72) + sqrt(72) + (sqrt(2) - (sqrt(1024) - sqrt(16))/sqrt(8))))**2.
11/4
Simplify (sqrt(130)*-1*1 + (sqrt(130) - (sqrt(130) - (sqrt(130)*2 + sqrt(130))*-2)))/(sqrt(30)/((sqrt(90)/sqrt(5))/sqrt(6)))*-5.
35*sqrt(13)
Simplify 2 + -1 + 5*sqrt(55)/sqrt(125) + ((sqrt(275) + 0 - sqrt(275)) + -1)**2.
2 + sqrt(11)
Simplify (-6*((sqrt(171) - 1*sqrt(171))*2*-4 + ((sqrt(931) - (sqrt(931) + sqrt(931)*2 + sqrt(931)))*2 - -3*(-1 + sqrt(931))) + 1))**2.
3024*sqrt(19) + 301788
Simplify 1 + ((sqrt(1573) - (0 + sqrt(1573) + sqrt(1573))) + 0)**2 + -2 - -4*(-1 + 1 + sqrt(1573) + -5).
44*sqrt(13) + 1552
Simplify 6*((sqrt(252) - (sqrt(252) + -5 + sqrt(252) + 0))**2 + 4 + (sqrt(252)*1)**2*-3 + ((sqrt(252) + -2)**2 + -3 - sqrt(252))) + 2.
-540*sqrt(7) - 1330
Simplify (2*sqrt(13)*-5 + 4)**2 + 2 - (sqrt(13)*-2*2 - sqrt(52)*-5)*4.
-104*sqrt(13) + 1318
Simplify (sqrt(294) + 5*sqrt(294)*-1)/((sqrt(54)/sqrt(3))/sqrt(6) + (sqrt(3) + sqrt(3) + sqrt(12))*-2).
4*sqrt(2)
Simplify -4*(sqrt(117) - (-1 + sqrt(117) - sqrt(117))**2)*-3*-3 - (-1*6*((sqrt(156) - -3*sqrt(156)*2 - sqrt(156)) + sqrt(156))/sqrt(12))**2.
-22896 - 108*sqrt(13)
Simplify -5 + 0 + ((sqrt(1539) + -2)*6)**2 + -3 + (sqrt(114)*-2*-1)/sqrt(6).
-1294*sqrt(19) + 55540
Simplify (2*(sqrt(2) - (1 + sqrt(2))) - sqrt(2) - (sqrt(80)/sqrt(10))/sqrt(4) - (sqrt(18)/(-5*sqrt(9)) - (sqrt(72) + -2)))*-5.
-21*sqrt(2) + 20
Simplify (-4*(-5*(sqrt(297) + (-1*sqrt(297) - sqrt(297) - sqrt(297))) - sqrt(297)))/(sqrt(9)/(sqrt(6)/sqrt(2)) + (4*sqrt(243) + sqrt(243) - sqrt(243))).
-108*sqrt(11)/37
Simplify -2*(((1 + sqrt(1584))*-3 + -4)**2 + (2*sqrt(1584) + -5 - ((sqrt(1584) + 4*1*sqrt(1584) + sqrt(1584))**2 + sqrt(1584) + sqrt(1584)))).
-1008*sqrt(11) + 85448
Simplify (5*-2*sqrt(190) + sqrt(190) - 1*(2*sqrt(190) - sqrt(190)))/(sqrt(90)/(((sqrt(63) - sqrt(63)*-4) + sqrt(63))/sqrt(7) + sqrt(9))).
-70*sqrt(19)
Simplify -6*(2 + 1*((sqrt(175)*-1*4 - -6*(-1 + sqrt(175))) + 2)**2).
-4308 + 480*sqrt(7)
Simplify (1*2*(sqrt(189)*-1 + sqrt(189)))/(sqrt(108) + 6*sqrt(108)*1 + sqrt(108) - (sqrt(108) - sqrt(108)*2)*3).
0
Simplify ((sqrt(315) - (sqrt(315)*-1 - sqrt(315))*-4)*3)/((sqrt(330)/(sqrt(12)/sqrt(2)))/(sqrt(198)/sqrt(2) - sqrt(11))).
-126*sqrt(7)
Simplify (-5*4*(sqrt(15) + sqrt(165)/(sqrt(11)*-2)))/(-2*sqrt(27)/(sqrt(27)/sqrt(3)*1)).
5*sqrt(5)
Simplify (sqrt(22)/sqrt(2) + 1)*5 + 3 + (sqrt(22) - (sqrt(22) - sqrt(198)/sqrt(9))*-2)/sqrt(2)*-2 + 2.
3*sqrt(11) + 10
Simplify (-5 + sqrt(245) + -3 - (sqrt(605) + -1 + (sqrt(605) - -4*sqrt(605)) + sqrt(605) - sqrt(605)))**2 + -4.
826*sqrt(5) + 17450
Simplify (-6*2*(sqrt(88)*-3 + sqrt(88))*5)/((sqrt(256)/(sqrt(16)/sqrt(2)))/(sqrt(4) + sqrt(16)/(sqrt(4)*1) + sqrt(4))).
360*sqrt(11)
Simplify (sqrt(24) + sqrt(48)/(2*sqrt(2)))/(sqrt(192)*3) + -2 + (sqrt(2) + sqrt(18))*-6 + 3 + (sqrt(3168) - 2*sqrt(3168) - sqrt(22))/sqrt(11).
-295*sqrt(2)/8 + 1
Simplify (sqrt(143)/sqrt(396) - (sqrt(13) + sqrt(52) + 2)**2) + -3*((sqrt(1300) + 1 - sqrt(1300)) + -5 + sqrt(13) + 2)**2.
-172 + sqrt(13)/6
Simplify 5 + (0 + sqrt(432) + 0 + sqrt(432) + -1 + -4 + 4 + (sqrt(432) + -2*sqrt(432) + -1 - sqrt(432)))**2.
9
Simplify ((sqrt(48) - sqrt(240)/sqrt(5))/sqrt(2)*6*3)/((sqrt(48) - (sqrt(48) - sqrt(192)/(sqrt(4)*1)))/(sqrt(4) + sqrt(484)*1)).
0
Simplify 3*(-2 + (-1*(-2 + sqrt(162)) - (-4*(sqrt(162)*-1 - sqrt(162)))**2)*5)*-2.
270*sqrt(2) + 310992
Simplify ((sqrt(152)*-2 - sqrt(152))*2 - (sqrt(152) + (sqrt(152) - sqrt(152)*3*5)))/((sqrt(144)/sqrt(6))/sqrt(3) - ((sqrt(72) - sqrt(72)*-1) + sqrt(72))).
-7*sqrt(19)/8
Simplify (1*(sqrt(153) - -4*sqrt(153)*2))/((sqrt(441) - (-6*sqrt(441)*4 - sqrt(441))) + sqrt(441)) + -1.
-1 + sqrt(17)/21
Simplify (sqrt(588)*6 + sqrt(12))/(sqrt(28)/(sqrt(175) + sqrt(7))) + (sqrt(3300)*-1)/sqrt(11) + sqrt(432) + (sqrt(432)*2 + 0)**2.
260*sqrt(3) + 1728
Simplify (-3*(sqrt(60) + 1*sqrt(420)/sqrt(7)))/(sqrt(72)/sqrt(6)*-3 - (sqrt(1200) + sqrt(1200)*1 + sqrt(1200))) + -2.
-2 + 2*sqrt(5)/11
Simplify (-5 + 2 + -1*(0 + sqrt(72))*-3 + 2 + (sqrt(72) + (sqrt(72) - sqrt(72)*-1) + 4)*2)**2.
756*sqrt(2) + 5881
Simplify (sqrt(20)/sqrt(4) + -3 + sqrt(5))**2 + sqrt(40)/(sqrt(8)*-3) + -5*(1*sqrt(245) - sqrt(245))*1.
-37*sqrt(5)/3 + 29
Simplify 4*(sqrt(363) + 4*(sqrt(363) + sqrt(363)*1) - sqrt(27)/(sqrt(900) + 4*sqrt(900)))**2.
73477803/625
Simplify (-2 + sqrt(75)*-2 - (sqrt(75) - (1*sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75))**2*-6)) + 4 + (0 + sqrt(21)/(sqrt(28)*2) + 4)**2.
-114909/16 - 13*sqrt(3)
Simplify (sqrt(49) - sqrt(294)/sqrt(6)*-4 - sqrt(49)*-2*2)/(sqrt(7) + (sqrt(7) - 3*sqrt(343)) + -4*sqrt(35)/sqrt(5)).
-9*sqrt(7)/23
Simplify -6*sqrt(49)/(sqrt(175)*-2)*-5 + (-2*1*sqrt(84) + sqrt(84))/(sqrt(768) + (-1*sqrt(768) - sqrt(768) - sqrt(768))).
-47*sqrt(7)/16
Simplify 3 + ((sqrt(117) - 3*(sqrt(117) + 3*sqrt(117)))*6)/((sqrt(18) - (sqrt(450) - -3*sqrt(450)))/sqrt(2)).
3 + 66*sqrt(13)/19
Simplify 4*(0 + (2 + sqrt(539))*-1) + (sqrt(660)/sqrt(108) + sqrt(55))/((sqrt(320) + sqrt(20))/sqrt(4)) + 4.
-416*sqrt(11)/15 - 4
Simplify 4*((-5 + sqrt(3) + (sqrt(120)/sqrt(10) - sqrt(3)))*4)**2 + 6*((sqrt(18)/(sqrt(12)/sqrt(4)))/sqrt(2) + 2).
-1274*sqrt(3) + 2380
Simplify (-6*(sqrt(2600) - 2*sqrt(2600)*-5 - sqrt(2600)))/(2*-1*-6*sqrt(12)/sqrt(6)).
-50*sqrt(13)
Simplify (-5*(-1 + sqrt(8))*6)**2 + (1*sqrt(450)*1)**2.
-3600*sqrt(2) + 8550
Simplify 0 + (sqrt(112)*-1*-1*-4 + (sqrt(112) - -2*sqrt(112)) + -5 + (2*sqrt(112) - sqrt(112))*-3)**2.
160*sqrt(7) + 1817
Simplify (4*-2*sqrt(384))/(sqrt(12)/(1*sqrt(294))).
-448*sqrt(3)
Simplify -3 + (4 + ((6*sqrt(192)*-1 - (1 + (sqrt(192) + 1 - sqrt(192)))) + 4)*5)**2.
-6720*sqrt(3) + 172993
Simplify (3*6*(sqrt(95) + sqrt(95)*1)*5)/((3*sqrt(125)*-1 - sqrt(125))*4).
-9*sqrt(19)/4
Simplify ((sqrt(39) + sqrt(39)*-1)*-4 - 1*sqrt(39)*5)/(2*sqrt(75)*-2*-4).
-sqrt(13)/16
Simplify -5 + (2 + (4 + (sqrt(108) - (-1 + sqrt(108))) - -2*(sqrt(108) + 1)) - (4 + (sqrt(108) + -1*sqrt(108))*3 + sqrt(108) + 0))**2*1.
60*sqrt(3) + 128
Simplify (sqrt(540)/sqrt(3))/((sqrt(120) - sqrt(120)*2)/sqrt(12)) + 4 + (2*(sqrt(36)/sqrt(6) - sqrt(6)))/sqrt(3).
-3*sqrt(2) + 4
Simplify -5*(4 + (((sqrt(78) - (sqrt(78) + 2*sqrt(78)))*6 + sqrt(78))*-5)/(-1*sqrt(486)*-6)).
-20 - 275*sqrt(13)/54
Simplify (3*sqrt(891) + 3)*4 + -4*(0 + sqrt(891))**2*2 + -4.
-7120 + 108*sqrt(11)
Simplify (-1*(-3*(sqrt(119)*-2 + sqrt(119)) + sqrt(119))/(sqrt(343)*-2) + sqrt(833) + -4*(sqrt(833) + -3 - sqrt(833)) + sqrt(833) + 2 + 0)**2.
400*sqrt(17) + 179604/49
Simplify (-2 + -3*(-1*(sqrt(1216) + 2) + -4 + 0 + sqrt(1216) + 3))**2.
49
Simplify (5*((sqrt(104) + -5*3*sqrt(104))/(sqrt(968) + -1*sqrt(968) + sqrt(968)) - (-3 + sqrt(637) + 2 + -5*sqrt(39)/sqrt(3))))**2.
-1800*sqrt(13)/11 + 424225/121
Simplify ((-4 + -1 + sqrt(192))*-1)**2*1 + ((2 + (0 + sqrt(192))*5)*6)**2.
5680*sqrt(3) + 173161
Simplify ((-4*(sqrt(76) + -2))**2*-1 + (5 + sqrt(304) + 3 + (4*sqrt(19) - sqrt(19)))**2)*-1.
-240*sqrt(19) + 285
Simplify (1 + -2 + sqrt(1008) + -3)**2 + (sqrt(1008) + (sqrt(1008) - (sqrt(1008)*2*3 - sqrt(1008))))**2*-4.
-35264 - 96*sqrt(7)
Simplify (sqrt(220)/sqrt(250) - sqrt(22))/(sqrt(891) - -3*sqrt(891)) - (2 + 4 + sqrt(392)*-2)**2.
-1604 + 15119*sqrt(2)/45
Simplify ((-5*sqrt(475)*2 - (sqrt(475) + 0 + 2))**2 + 4 + sqrt(475)*-1 + (sqrt(475) - (-1 + (-1*sqrt(475) - sqrt(475))) - sqrt(475))**2 + -5)*6.
14
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the ten thousands digit of 33385531?
8
What is the millions digit of 5159085?
5
What is the units digit of 119868955?
5
What is the units digit of 7113978025?
5
What is the hundred millions digit of 586672259?
5
What is the hundred millions digit of 111332572?
1
What is the ten thousands digit of 282185112?
8
What is the tens digit of 2462843121?
2
What is the units digit of 88167302?
2
What is the millions digit of 7198264?
7
What is the tens digit of 47504834?
3
What is the hundred thousands digit of 21656208?
6
What is the tens digit of 159340078?
7
What is the ten thousands digit of 1320147657?
4
What is the thousands digit of 343222143?
2
What is the tens digit of 57443987?
8
What is the tens digit of 4365531229?
2
What is the millions digit of 50943206?
0
What is the tens digit of 169420468?
6
What is the ten thousands digit of 8901828?
0
What is the ten thousands digit of 34505036?
0
What is the hundred millions digit of 1022359729?
0
What is the hundred millions digit of 324593818?
3
What is the hundreds digit of 730163454?
4
What is the tens digit of 186651916?
1
What is the tens digit of 57741572?
7
What is the ten thousands digit of 202814211?
1
What is the ten thousands digit of 77632559?
3
What is the hundred millions digit of 363734074?
3
What is the units digit of 86425699?
9
What is the thousands digit of 1038380618?
0
What is the units digit of 185365334?
4
What is the tens digit of 8391576?
7
What is the thousands digit of 428091620?
1
What is the hundred thousands digit of 37301501?
3
What is the ten thousands digit of 1748366742?
6
What is the millions digit of 81972405?
1
What is the millions digit of 391322903?
1
What is the units digit of 724574731?
1
What is the hundred thousands digit of 243849?
2
What is the ten thousands digit of 2700965358?
6
What is the hundreds digit of 30976370?
3
What is the millions digit of 4002919071?
2
What is the hundred thousands digit of 1175016913?
0
What is the hundred thousands digit of 236474337?
4
What is the millions digit of 16858366?
6
What is the ten thousands digit of 47023942?
2
What is the hundred thousands digit of 310441851?
4
What is the thousands digit of 677862?
7
What is the thousands digit of 226417723?
7
What is the hundred thousands digit of 289792339?
7
What is the ten millions digit of 2570132203?
7
What is the billions digit of 3217657960?
3
What is the hundred thousands digit of 32171421?
1
What is the ten millions digit of 74050521?
7
What is the units digit of 22215744?
4
What is the hundred thousands digit of 3660522844?
5
What is the units digit of 213914655?
5
What is the thousands digit of 229842849?
2
What is the hundred thousands digit of 1090608535?
6
What is the tens digit of 78054391?
9
What is the ten millions digit of 18182196?
1
What is the thousands digit of 636625676?
5
What is the hundred thousands digit of 72538474?
5
What is the hundreds digit of 227387660?
6
What is the ten millions digit of 719522724?
1
What is the tens digit of 1547912289?
8
What is the hundreds digit of 475983423?
4
What is the units digit of 133654277?
7
What is the ten thousands digit of 235977347?
7
What is the tens digit of 163264404?
0
What is the ten millions digit of 3155308549?
5
What is the tens digit of 152635101?
0
What is the thousands digit of 1273993221?
3
What is the hundred thousands digit of 86146150?
1
What is the hundreds digit of 323888266?
2
What is the thousands digit of 5641848303?
8
What is the millions digit of 11227541?
1
What is the tens digit of 645980184?
8
What is the tens digit of 13856719?
1
What is the tens digit of 115929253?
5
What is the hundreds digit of 74664378?
3
What is the thousands digit of 206366259?
6
What is the ten millions digit of 434788899?
3
What is the millions digit of 358253789?
8
What is the hundred millions digit of 403629784?
4
What is the ten thousands digit of 51313551?
1
What is the hundred millions digit of 2098484901?
0
What is the thousands digit of 429894344?
4
What is the hundred thousands digit of 641192993?
1
What is the tens digit of 318346345?
4
What is the tens digit of 525139083?
8
What is the millions digit of 101239331?
1
What is the tens digit of 1225886428?
2
What is the ten millions digit of 5891705714?
9
What is the ten millions digit of 1471424193?
7
What is the units digit of 90159028?
8
What is the units digit of 1194789894?
4
What is the hundred thousands digit of 1481777008?
7
What is the hundred millions digit of 830611885?
8
What is the millions digit of 1059135058?
9
What is the hundred thousands digit of 1090104299?
1
What is the hundred millions digit of 573182966?
5
What is the units digit of 1267576166?
6
What is the units digit of 1431555979?
9
What is the hundred millions digit of 1179864719?
1
What is the millions digit of 144800813?
4
What is the hundreds digit of 148366119?
1
What is the ten millions digit of 150133607?
5
What is the ten thousands digit of 8912117?
1
What is the thousands digit of 460497217?
7
What is the units digit of 121683127?
7
What is the hundred thousands digit of 7418582197?
5
What is the units digit of 26956319?
9
What is the thousands digit of 1963418567?
8
What is the hundreds digit of 199238339?
3
What is the hundred thousands digit of 753029556?
0
What is the hundred thousands digit of 741435058?
4
What is the thousands digit of 169410614?
0
What is the hundred thousands digit of 390378155?
3
What is the ten millions digit of 132405695?
3
What is the tens digit of 93621061?
6
What is the ten thousands digit of 1428775037?
7
What is the millions digit of 787428795?
7
What is the ten millions digit of 312900789?
1
What is the ten millions digit of 148026393?
4
What is the ten millions digit of 1470372183?
7
What is the ten thousands digit of 205801192?
0
What is the millions digit of 650382406?
0
What is the hundreds digit of 1670569388?
3
What is the ten thousands digit of 171208674?
0
What is the tens digit of 94382882?
8
What is the tens digit of 44035332?
3
What is the hundred thousands digit of 7862427195?
4
What is the hundred thousands digit of 1085833203?
8
What is the hundred thousands digit of 7632297590?
2
What is the hundred thousands digit of 85885256?
8
What is the hundred millions digit of 1008404951?
0
What is the tens digit of 46971121?
2
What is the ten millions digit of 1015089599?
1
What is the ten thousands digit of 2211245794?
4
What is the millions digit of 448856520?
8
What is the hundred thousands digit of 61309991?
3
What is the units digit of 877522212?
2
What is the hundreds digit of 394123165?
1
What is the hundred thousands digit of 2827810330?
8
What is the thousands digit of 227320628?
0
What is the hundred millions digit of 2906822335?
9
What is the ten millions digit of 64604029?
6
What is the ten millions digit of 128203025?
2
What is the units digit of 4937810?
0
What is the ten millions digit of 668755021?
6
What is the tens digit of 7905127048?
4
What is the hundred millions digit of 404834103?
4
What is the units digit of 2262175014?
4
What is the ten millions digit of 351498513?
5
What is the ten thousands digit of 39189603?
8
What is the millions digit of 31858759?
1
What is the ten thousands digit of 9293970273?
7
What is the millions digit of 325665166?
5
What is the hundreds digit of 5549871847?
8
What is the tens digit of 1482350367?
6
What is the ten millions digit of 17470359?
1
What is the hundreds digit of 6078887?
8
What is the hundred millions digit of 321506709?
3
What is the ten millions digit of 53100554?
5
What is the units digit of 6011195761?
1
What is the millions digit of 1067606430?
7
What is the millions digit of 100617816?
0
What is the millions digit of 5923703?
5
What is the thousands digit of 2040226663?
6
What is the millions digit of 1811826444?
1
What is the billions digit of 1522913278?
1
What is the hundred thousands digit of 388367275?
3
What is the hundreds digit of 25513346?
3
What is the thousands digit of 146351477?
1
What is the ten millions digit of 1318900341?
1
What is the hundred thousands digit of 212245635?
2
What is the hundred millions digit of 104321877?
1
What is the tens digit of 414054428?
2
What is the units digit of 405507022?
2
What is the thousands digit
|
{
"pile_set_name": "DM Mathematics"
}
|
a factor of r?
True
Let q be 0 + (-2)/8 + (-3387)/(-12). Suppose 2*m + 5*h - 441 = 0, -h - q + 950 = 3*m. Does 14 divide m?
False
Suppose 4 = 4*p + 5*g, -p + 2*p - 18 = 3*g. Suppose -w + 5*t = 17, -3*w + 8*w + t = 19. Suppose -p*d + 48 = -w*d. Does 8 divide d?
True
Let t(r) = -r**2 - 32*r + 84. Is 9 a factor of t(-11)?
True
Let j = 240 + 596. Does 11 divide j?
True
Suppose -12 = -3*b - 5*z, -8 = 3*b + 2*b - z. Let q be (-77 + -3)*2*b. Suppose 4*y = -0*y + q. Is 10 a factor of y?
True
Suppose -4*x + 2*p + 3060 = 0, 7*x = 2*x + 3*p + 3825. Is x a multiple of 5?
True
Suppose -w = -3*h - 1, -5 = 4*h + 2*w + 13. Let f(a) = -4*a**3 + 3*a**2 - 3. Does 13 divide f(h)?
False
Let t(r) = -79*r + 72*r + 65*r + 6. Is 16 a factor of t(1)?
True
Suppose -8*h = -9*h + 12. Does 17 divide 1434/h - (-1)/(-2)?
True
Let r = 497 + -427. Is 4 a factor of r?
False
Suppose 4*a + 25 = 2*r + 3*r, 5*a = -3*r - 22. Let q(u) = -23*u + 10. Is q(a) a multiple of 21?
False
Suppose -576 = -24*n + 21*n. Is n a multiple of 8?
True
Let l = 213 - -8. Is l a multiple of 20?
False
Let r(u) = 3*u - 10. Let k be r(4). Suppose -k*s + 3*s = 4*i - 220, 2*i = s + 110. Does 17 divide i?
False
Let z(k) = -k**2 + 2*k**2 + 8*k + 0*k**2 - 13. Let y be z(-9). Let l(j) = 2*j**2 + 2*j - 6. Is 14 a factor of l(y)?
False
Suppose 12 = u + 4*p, -3*p = -3 - 3. Let y be 1624/10 + 4/(-10). Suppose 2*x - 5*c - y = 0, 0 = -0*c - u*c. Is 27 a factor of x?
True
Is 28 a factor of 14/((-42)/(-6))*56?
True
Let c(q) = q**2 - 6*q - 21. Let i be c(9). Suppose 0 = -m - m + i. Does 7 divide (2/m)/((-3)/(-63))?
True
Let t(x) = -3*x + 49. Let y(d) = -d + 12. Let j(h) = -2*t(h) + 9*y(h). Let b be j(5). Let o = 18 + b. Does 9 divide o?
False
Does 14 divide (-196)/(4*14/(-364))?
True
Suppose 0 = 3*f + 4*d - 5*d - 1, 5*f - 2*d = 0. Suppose f*p + 34 = 3*p. Is 11 a factor of p?
False
Let s(a) = 5*a - 7. Let d(r) = r + 1. Let w(g) = -6*d(g) + s(g). Let j be w(-13). Suppose b + j*y = -4*y + 64, 5*b - 232 = 2*y. Does 16 divide b?
True
Suppose -202 = 4*u - 62. Suppose 2*d + 236 = 4*b, d + 294 = 4*b + 60. Let s = b + u. Is s a multiple of 9?
False
Let j be 105 - ((1 - (-9)/(-3)) + 3). Suppose -t + 3*c + j = 0, 5*t - 510 = 4*c + c. Does 27 divide t?
False
Let l(r) = 2*r + 27. Let v be l(-12). Suppose v*i = -i + 116. Is 14 a factor of i?
False
Let o = -6 + 15. Let g(q) = -q**2 + 9*q + 3. Let p be g(o). Suppose -p*i - 3*f + 0*f = -9, 5*i = -f + 27. Is i even?
True
Suppose -3*n + 61 = -530. Is 9 a factor of n?
False
Suppose -9*x + 325 = 16*x. Is 5 a factor of x?
False
Suppose 2*c = -0*c + 22. Let y(z) = -z**2 + 11*z + 5. Let u be y(c). Suppose 0 = u*g + 3*q - 230, -2*g + q = -49 - 43. Is g a multiple of 23?
True
Suppose -2*j = 2*h - 68, 0 = -0*j + 2*j + 5*h - 62. Let w = j - 32. Is 7 a factor of 7*(w - (0 + 0))?
True
Let v(u) = -u**3 + 6*u**2 + 2*u - 9. Let p be v(6). Suppose -p*s = 20 + 31. Is (3 + 0)*(19 + s) a multiple of 6?
True
Let f be 0/(-3)*3/6. Suppose 105 = -4*s + m + 23, f = -2*s + m - 42. Let n = s + 72. Is 13 a factor of n?
True
Let u(q) = -q**3 + 18*q**2 - 31*q + 5. Let l be (4/(-6))/((-17)/408). Is u(l) a multiple of 21?
True
Let s(r) = r**2 + 5*r + 6. Let d(m) = 5*m + 4. Let l be d(3). Suppose 0 = -5*b - 2*z - l, -4*b + 0*z - 5 = 5*z. Is 3 a factor of s(b)?
True
Suppose -2*c - 2*c + 30 = 2*o, -4*c - o + 33 = 0. Does 8 divide 8/(-2)*(1332/(-16))/c?
False
Let h = 384 - 839. Is (4/5)/((-7)/h) a multiple of 26?
True
Let w(p) = -14*p + 154. Does 20 divide w(-9)?
True
Let d be (6/2)/(7/14). Suppose 0 = d*z - z - 20. Suppose t = 5*p + 85, -165 - 60 = -z*t - 3*p. Is t a multiple of 20?
True
Let k be (2 + (3 - 2))/((-12)/40). Let o(c) be the second derivative of c**5/20 + 3*c**4/4 - 7*c**3/3 - 11*c**2/2 + 2*c. Is 6 a factor of o(k)?
False
Let j be (-162)/(-7) + (-2)/14. Suppose -3*t + j = -16. Does 9 divide t?
False
Is 5 a factor of -4 - (18/3 + -70)?
True
Let h(p) = 20*p + 694. Does 3 divide h(-32)?
True
Suppose -7*h - 112 + 763 = 0. Is h a multiple of 31?
True
Let w(g) = 11*g**2 - 15*g - 33. Is 7 a factor of w(-3)?
False
Let v = 117 - -49. Is 5 a factor of v?
False
Let k(n) = 179*n**2 + 7*n - 4. Is k(1) a multiple of 13?
True
Suppose -603*c - 4214 = -610*c. Is c a multiple of 9?
False
Let o be (42/5)/((-19)/(-95)). Suppose -5*l = -2*k - 856, 3*k - o + 901 = 5*l. Is 34 a factor of l?
True
Let d(c) be the third derivative of -c**5/60 - c**4/3 + c**3/2 - 3*c**2. Let y be d(-8). Suppose -4 = 6*a - 4*a, 69 = 5*g + y*a. Is g a multiple of 4?
False
Suppose -2*p - p = -2*u, p = u. Let c(d) = -d**3 + d**2 + d + 57. Is c(p) a multiple of 19?
True
Let i = -1016 + 1858. Does 48 divide i?
False
Let x be (1 + 2)/(3/(-9)). Let f = 14 + x. Suppose -2*d = -0*d - 10, -f*y = -2*d - 65. Is y a multiple of 5?
True
Let h = -196 + 123. Let c = 5 - h. Is 13 a factor of c?
True
Let g(b) be the third derivative of b**6/120 - 7*b**5/30 - 5*b**4/8 + 10*b**3/3 + 12*b**2. Does 10 divide g(15)?
True
Suppose 0 = 31*r - 32*r - 1040. Is 13 a factor of r/56*(2 - (-3 + 12))?
True
Let o be (4/(-5))/((-16)/40). Let h be o*4/(-8)*-5. Suppose 5*s = -3*j + 4*j + 172, 0 = 3*s + h*j - 92. Is 16 a factor of s?
False
Suppose -3*j - 2*g = -155 - 33, -g - 203 = -3*j. Does 6 divide j?
True
Let c = -22 + 24. Suppose c*l + 6 = -0*l. Let o(z) = 6*z**2 + 2*z - 3. Is o(l) a multiple of 9?
True
Suppose 7*n - 485 = 607. Is n a multiple of 26?
True
Let m(o) = -o - 5. Let w be m(2). Does 8 divide (w - (6 + -10))*(0 + -27)?
False
Let m(b) = -b**3 + 1. Suppose 6 = -4*r - 0*c + 2*c, 0 = 3*r + 3*c. Let q be m(r). Let i = 2 + q. Is 2 a factor of i?
True
Let h(x) = -x**3 - 8*x**2 - 5*x + 8. Suppose 0 = 5*u - 2*r + 10, 2*u - 4*r + 3 + 1 = 0. Let d = u - 6. Does 16 divide h(d)?
True
Let h be (-3)/(-12) + (-1)/4. Suppose -2*q = -m - 71, 3*m + h*m = -q + 32. Suppose -k - 4*k = -q. Does 3 divide k?
False
Let z = -1570 + 2285. Is z a multiple of 20?
False
Let w(g) = g**3 + 15*g**2 + 25*g + 16. Let u be w(-13). Suppose o - 68 = u. Is o a multiple of 8?
False
Is 24 a factor of ((-24)/6 - 20)*(-1 - 2)?
True
Suppose 3*m + 700 = -4*y + 2335, m + 3*y - 550 = 0. Suppose -m = -12*z + 1979. Is 35 a factor of z?
True
Is 10 a factor of ((-270)/(-25))/(24/2000)?
True
Suppose 1 = -5*z + 4*z. Let k(a) = -99*a**3 - a**2 - a. Is k(z) a multiple of 13?
False
Let k = 1264 + -748. Is k a multiple of 81?
False
Let w = 49 + -32. Suppose w*o + 55 = 18*o. Does 9 divide o?
False
Does 33 divide -2 + 21/7*404?
False
Suppose -2*h - 8 = 3*m, 0 = -0*h + 5*h + 2*m + 9. Let k = h - -9. Is k a multiple of 2?
True
Let p(a) = 1971*a**2 + 38*a + 39. Is p(-1) a multiple of 35?
False
Is 5 a factor of -138 + 133 + 566/(-2)*-3?
False
Let p(a) = a - 1. Let m be p(4). Let r be 6/m + 2 + 1. Suppose -g - 49 = r*i - 194, i - 45 = 3*g. Is i a multiple of 15?
True
Let l(g) = g**3 + 5*g**2 + 9*g + 82. Does 2 divide l(-5)?
False
Let p(g) = -g**3 + 8*g**2 + 11*g - 8. Let m(v) = -v**3 + 6*v**2 - 6*v + 1. Let o = 10 - 6. Let a be m(o). Is 3 a factor of p(a)?
False
Let r = 1204 + -93. Is 101 a factor of r?
True
Suppose -3*o - 12 = 0, -3*o = -2*c - 2*o + 68. Suppose 22 + c = -n. Let d = -37 - n. Is 10 a factor of d?
False
Let x(t) = -3*t**3 + 2*t**2 - 9*t - 23. Does 7 divide x(-4)?
False
Let d(h) = 3*h**2 + 3*h - 2. Let s be d(-7). Let a = s - 28. Is a a multiple of 24?
True
Let c(a) = 419*a + 0 - 473*a - 3. Is c(-1) a multiple of 14?
False
Suppose -4*i = -9*i - 10. Let q be i*(-1)/2*1. Is 58/(-4)*(q - 3) a multiple of 13?
False
Let x(u) = 24*u - 3. Suppose 0 = 3*v - 3 - 0. Is x(v) a multiple of 21?
True
Let g(o) = 43*o + 2. Suppose 8 = 6*l - 2*l. Let q be g(l). Let x = q - 48. Does 10 divide x?
True
Let u(r) = -r**2 - 2*r + 3. Suppose -o + 10 = 4*o. Let j be u(o). Is 25 a factor of 72 + (1 - (j - -3))?
True
Let d = -319 + 533. Suppose d - 19 = u. Is u a multiple of 25?
False
Suppose -2*i + i + 173 = 5*z, 5*i - 943 = z. Let c = -131 + i. Is c a multiple of 26?
False
Let o(k) = 2*k**3 + 40*k**2 + 25*k - 4. Suppose -7*x + 38 = -9*x. Does 27 divide o(x)?
True
Let i = -313 + 621. Is 5 a factor of i?
False
Suppose -3627 = 33*v - 64*v. Does 4 divide v?
False
Let u = 113 - 125. Let o(m) = 2*m**3 + 25*m**2 - 1. Is o(u) a multiple of 11?
True
Let h = -34 + 39. Suppose 2*z + h*d = 193, -109 = -z - 9*d + 4*d. Is 12 a factor of z?
True
Let t be 323/
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2. Let d(b) = -19*b**3 + 6*b**2 - 8*b + 5. Let k(u) = -3*d(u) + 8*i(u). Determine k(1).
8
Let f(c) = c**2 + 4*c - 9. Suppose -119 = -15*n + 32*n. Calculate f(n).
12
Let q(g) = -g + 42*g**2 - 2 - 25*g**2 - 15*g**2 + g**3. Suppose 2*o + 0*o = -4. What is q(o)?
0
Let h(r) = -10*r + 4. Let c be ((24/18)/2)/(4/24). Give h(c).
-36
Let o be 1 + (-36 - -1)/5. Let p be o/4*40/12. Let g(k) = k + 3. Let x(a) = 3*a + 8. Let l(j) = 8*g(j) - 3*x(j). Calculate l(p).
5
Let w(d) = 6*d - 20. Suppose -19 = -5*m - 2*a, -5*m = -51*a + 46*a - 40. What is w(m)?
10
Suppose -3*o = -d + 3*d - 15, 2*d + 15 = 3*o. Let b(v) = v**3 - 7*v**2 + 6*v - 6. What is b(o)?
-26
Suppose -23*q = -14*q + 45. Let m(j) = j**2 + 5*j - 7. Determine m(q).
-7
Let m(h) = 3*h - 3. Let u = -26 + 31. Suppose -1 + 27 = 3*t + u*w, -5*w = -20. Give m(t).
3
Let n(z) = z**2 + 2*z + 7. Let a be n(-7). Suppose -7*f = a - 0. Let v(y) = y - 1. Determine v(f).
-7
Let s(b) = -2*b**2 + 17*b + 38. Let g be s(-2). Let w(u) = 9*u**2 + 13*u + 2. Let o(q) = 8*q**2 + 12*q + 2. Let t(n) = -7*o(n) + 6*w(n). Determine t(g).
-10
Let v(k) = -5*k**3 - k**2 + 2*k - 1. Let i be v(1). Let r = i + 2. Let g(o) be the first derivative of 3*o**2/2 + 4*o - 2705. Calculate g(r).
-5
Let y(c) be the second derivative of c**4/24 + 5*c**3/6 + 3*c**2/2 - 2*c. Let v(k) be the first derivative of y(k). Let u = -68 - -68. Calculate v(u).
5
Let q = -599 + 601. Let c(r) = -8*r**2 - r + 3. Give c(q).
-31
Let j(x) be the third derivative of x**8/2240 - x**6/360 - 5*x**4/8 - 33*x**2. Let c(q) be the second derivative of j(q). Calculate c(2).
20
Let l = 0 + 2. Let x(u) = -2 - u**3 + 0 - 2*u**l + 0*u**2 + 1. Let m = 4 - 6. What is x(m)?
-1
Let v be 2/(-9) + 7/(-9). Let f(m) = -m**2 - 11*m - 4. Let r(s) = 2*s**2 + 14*s + 5. Let c(a) = -5*f(a) - 4*r(a). What is c(v)?
-2
Let q(i) = 11*i + 6. Let a = 708 + -711. Give q(a).
-27
Suppose c + 6 = -c. Let u(f) be the second derivative of -f**6/360 - f**5/60 - 11*f**4/12 - f. Let r(q) be the third derivative of u(q). Calculate r(c).
4
Let l = -2 + 4. Let d(i) = 5*i + 1 - 3*i - 4*i - 2*i**l. Let u(b) = b**3 - 11*b**2 - 9*b - 35. Let y be u(12). Give d(y).
-3
Let g(q) = 4*q**2 - q - 1. Suppose -2*u + 49*y = 46*y - 4, -5*u - 2*y - 9 = 0. What is g(u)?
4
Let b be (18/(-27))/(8/156). Let v(g) = g + 1. Calculate v(b).
-12
Suppose 3*v - 15 = 6*v. Let j be (-24)/v - (22/(-10) + 2). Let h(p) = -p + 11. Calculate h(j).
6
Let c(f) be the second derivative of -f**3/3 + 3*f**2/2 - 83*f. Give c(-3).
9
Let r(q) be the first derivative of q**2/2 + 9*q + 47. Let w be (0 + -3)*(-9)/(-3). Determine r(w).
0
Let d(i) = -6*i. Let u(f) = -18*f - 1. Let s(a) = 7*d(a) - 2*u(a). Calculate s(4).
-22
Let j(g) be the first derivative of -5*g**3/3 - 45. Calculate j(1).
-5
Suppose -d - d - 2 = 0. Let g be (2 + 1 - d)*-1. Let z = 2 - g. Let h(b) = -b + 6. Give h(z).
0
Let y(w) be the second derivative of -w**5/20 - 5*w**4/6 - 4*w**3/3 + 2*w**2 - 10*w. Suppose -5*m - 36 = -m. Determine y(m).
-5
Let j(v) = -2*v - 14. Let i(f) = -1. Suppose 0 = y - 0 + 3. Let a = -7 - y. Let r(m) = a*i(m) + j(m). Give r(-7).
4
Suppose -l - j = 4*l - 2, 0 = -2*l + 2*j - 4. Let z(w) = w - 2. Let u(t) = -4 + t + 1 + 0. Let f(m) = 2*u(m) - 3*z(m). What is f(l)?
0
Let o(j) = -3*j + j - 5*j - 3 - 7. Let r(m) = -3*m - 5. Let w(u) = 2*o(u) - 5*r(u). Determine w(-4).
1
Let y(d) be the third derivative of d**4/12 - 11*d**3/6 + 567*d**2. Calculate y(17).
23
Let s(p) = p - 21. Let k(q) = q**2 - 6*q - 36. Let y be k(10). Let r(w) = -5*w + 3*w + w + 20. Let t(b) = y*r(b) + 3*s(b). What is t(0)?
17
Let n(v) = -6*v - 6*v**2 + 5*v**2 + 0*v**2 - 39 + 34. Give n(-6).
-5
Let b(t) = -5 + t + 0 + 2 - 2. Let h be b(7). Let o(l) = l**3 - l**2 - 3*l + 3. Calculate o(h).
1
Let i = -7 + 5. Let q be (-2)/i - 4/(-1). Let p(d) = 33*d - d**2 - 10*d - 10 - 19*d + 3. Calculate p(q).
-12
Let w = 2 - -3. Let d(v) = 0 - w*v + 1 + 6*v. Suppose -4*k - 17 - 3 = j, 2*j = 3*k + 15. Calculate d(j).
1
Let k(f) be the third derivative of -f**5/60 - f**4/6 + 5*f**3/6 + 3*f**2 + 39. Calculate k(-7).
-16
Let m be (-56)/336 - (-11)/(-6). Let g(h) = 12*h + 1. Determine g(m).
-23
Let g(s) = 186*s**3 + s + 4*s**2 + 4 + 0 + 1 - 185*s**3. Let i(z) = -5*z + 4*z**2 + 0*z**3 - 6*z**3 + 2 + 5*z**3. Let q be i(3). What is g(q)?
1
Let m(o) = 2*o - 5. Let r(u) = 4*u - 9. Let t(z) = 5*m(z) - 3*r(z). Let w = 4 - 1. Give t(w).
-4
Let k(i) = i**3 + 8*i**2 + 4*i - 10. Let b = 188 + -195. Calculate k(b).
11
Let c be (((-40)/(-25))/2)/(2/5). Let m(w) = -4*w**3 + 1. What is m(c)?
-31
Let g(b) = b**2 - 17*b + 66. Let k be g(5). Let d(q) be the third derivative of 0 + 0*q + 0*q**4 + k*q**2 - 2/15*q**5 + 1/6*q**3. What is d(-1)?
-7
Let l(a) be the second derivative of -a**5/20 - 5*a**4/12 + a**3 + 3*a**2 - 3*a - 10. Let b be (-2)/(-4) + (-13)/2. Give l(b).
6
Suppose -3*w + 57 + 30 = 0. Suppose 23 = -2*z + w. Let l(s) = -2 + 2*s**2 - 4*s**2 + 3*s**2 - 2*s. Give l(z).
1
Let r(n) = 11*n**2 - 1. Let x be -7 + 5 + 1 + 2. Suppose 0 = 4*q + x - 5. Determine r(q).
10
Let m(y) = -y**2 + 3*y**3 - 39 + 38 - 2*y**2 + 10*y - 11*y. Calculate m(2).
9
Let f(i) be the third derivative of i**6/120 - 29*i**5/60 - 5*i**4/4 - i**3/3 + 3*i**2 + 1. Determine f(30).
-2
Let q(n) be the first derivative of 1/3*n**3 + 2*n**2 + 4 - 1/4*n**4 - 2*n. Determine q(3).
-8
Let a(n) = 5*n - 9. Let m = -1 + 7. Let y(v) = 9 - 5 + 6*v - 5 - 5*v. Let b(c) = m*y(c) - a(c). Give b(3).
6
Let j(l) = l**2 + 11*l - 16. Let q = -98 + 86. Calculate j(q).
-4
Let t(f) = -30*f**3 - 3*f + 3. Let c be t(1). Let w = -25 - c. Let a(y) = -y**3 + 5*y**2 - y - 3. Give a(w).
-8
Suppose k - f + 3 = 0, -k + 4*f = -0*k + 15. Let q(c) = -2*c**3 + 2*c**2 - 2*c + 1. Calculate q(k).
-1
Let z(g) = g**3 - g**2. Let d(a) = -a**3 + a. Let h(p) = 3*d(p) + 4*z(p). Give h(4).
12
Let x(q) = -q - 1. Let s(f) = -2*f**2 + 25*f - 73. Let u be s(7). Determine x(u).
-5
Let r = 162 - -4. Suppose -r*q = -163*q - 18. Let f(g) be the first derivative of -g**2/2 + 4*g - 1. Calculate f(q).
-2
Let j = 2 + -4. Let b(t) = -3*t + 11. Let c(z) = z - 5. Let n(k) = j*b(k) - 5*c(k). Let w(g) = -3*g**2 - 6*g + 4. Let p be w(-3). Give n(p).
-2
Let j(d) = 6*d**2 + 7208*d**3 - 7209*d**3 + 18 + 4*d - 2. Determine j(7).
-5
Let k(h) = h**3 - 5*h**2 - 15*h + 4. Suppose -31*a = -46*a + 105. Determine k(a).
-3
Let k(s) = 6262 + 3*s**2 - 2*s**2 - 6264. Determine k(-2).
2
Let o = -958 - -958. Let n(d) = -2*d + 30. Determine n(o).
30
Let q(n) = -n**3 - 6*n**2 - 13*n + 5. Let b(c) = -2*c + 1. Let r(k) = 6*b(k) - q(k). Calculate r(-6).
-5
Let x(s) = -s**3 + s**2 + s + 6. Suppose -1 + 71 = 5*h. Let b be 24/h + (-2)/(-7). Suppose -b*m = m. Calculate x(m).
6
Let m be 13/4 - (-2)/(-8). Suppose -c + 4*c = 6, m*g - 14 = -c. Suppose 0 = 5*r - g*w + 12 + 15, -3*r - 6 = w. Let z(v) = 2*v + 2. What is z(r)?
-4
Let l(x) = 3*x**3 + 12*x**2 - 17*x - 19. Let s(k) = -k**3 + k**2 + k - 1. Let v(g) = -l(g) - 4*s(g). Let z be v(15). Let m(a) = -a**2 - 4*a + 10. What is m(z)?
-11
Suppose 0*n + 2*n = -66. Let c = -40 - n. Let u(b) = -b**2 - 7*b + 6. What is u(c)?
6
Let y(s) = 4 + 2*s - 4*s + s. Let p(q) = -q**2 + 3. Let k be p(0). Suppose -5 = k*d - 20. Calculate y(d).
-1
Suppose 0 = -4*y - 50 + 2. Let b be y/(-30) - 84/10. Let v = b - -12. Let s(r) = -r**2 + 4*r - 3. Calculate s(v).
-3
Let v = 152 + -148. Let x(l) = -8 + 258*l**3 + v*l**2 + 2*l**2 + 4*l - 259*l**3. Calculate x(6).
16
Let o(n) = n**2 - 2*n + 1. Let m be o(3). Let a(u) = u - 33. Let w(s) = s - 27. Let g(j) = 4*a(j) - 5*w(j). What is g(m)?
-1
Let f(r) be the third derivative of -r**6/120 - 13*r**5/60 - 11*r**4/24 + 4*r**3/3 + r**2 - 14*r. Calculate f(-12).
-4
Let g(b) = 8*b. Let y(h) = -h**2 - 4*h. Let o be y(-3). Let s be (4/12)/(1/6). Suppose s*k + o = 1. What is g(k)?
-8
Let h(f) be the first derivative of f**5/60 + f**4/12 - f**3/6 - f**2/2 - 16. Let m(p) be the second derivative of h(p). Calculate m(-4).
7
Let v(j) = j**2 - 4*j**2 - 4*j**2 + j**3 - j + 4. Let q be (9 - 2)/(4 + -3). Determine v(q).
-3
Let l(g) = -g**2 - 23*g - 19. Let u be l(-22). Let t(d) be the first derivative of 0*d + 1/2*d**2 + u. Give t(1).
1
Suppose 35*v + o = 30*v - 15, 5*v - 3*o + 35 = 0. Let i(r) = -r**2 - 7*r - 8. What is i(v)?
4
Let p(o) be the second derivative of -1/2*o**3 + 3*o**2 + 60*o +
|
{
"pile_set_name": "DM Mathematics"
}
|
{m: 3, q: 4, i: 7, l: 1, f: 3}. What is prob of picking 1 i and 2 m?
7/272
Two letters picked without replacement from {v: 2, b: 5, h: 3, t: 6, i: 2}. What is prob of picking 1 i and 1 v?
4/153
Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {q: 3, w: 12}.
36/455
Three letters picked without replacement from bhbbbbbbhbbbhhbbhh. Give prob of picking 2 b and 1 h.
33/68
Three letters picked without replacement from rrjrrjjjrrrj. What is prob of picking 3 j?
1/22
Three letters picked without replacement from {v: 2, n: 2, k: 4, x: 1}. Give prob of picking 1 k and 2 v.
1/21
Three letters picked without replacement from {x: 7}. Give prob of picking 3 x.
1
What is prob of picking 1 q and 1 j when two letters picked without replacement from {q: 10, k: 2, j: 6}?
20/51
Calculate prob of picking 2 a and 1 u when three letters picked without replacement from aaaaaauuauaaua.
45/91
Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {e: 1, z: 6, t: 4, p: 4}.
4/105
What is prob of picking 1 l and 1 v when two letters picked without replacement from {v: 6, i: 2, l: 5}?
5/13
Three letters picked without replacement from qqhhqhaaqah. What is prob of picking 3 h?
4/165
Two letters picked without replacement from {e: 1, y: 3, l: 4, j: 2, g: 2, k: 2}. Give prob of picking 1 j and 1 g.
4/91
Three letters picked without replacement from dbppppcxpbdpd. What is prob of picking 1 c, 1 p, and 1 b?
6/143
Four letters picked without replacement from kzkkzk. Give prob of picking 2 z and 2 k.
2/5
What is prob of picking 2 r when two letters picked without replacement from oorror?
1/5
What is prob of picking 1 x and 1 f when two letters picked without replacement from xfff?
1/2
What is prob of picking 4 y when four letters picked without replacement from {w: 2, f: 2, y: 5}?
5/126
Four letters picked without replacement from {y: 1, v: 3, d: 5}. Give prob of picking 3 v and 1 d.
5/126
Calculate prob of picking 3 b and 1 u when four letters picked without replacement from {p: 1, c: 7, u: 1, b: 3}.
1/495
Two letters picked without replacement from {s: 1, n: 4, t: 2, u: 3, v: 1}. What is prob of picking 2 n?
6/55
Four letters picked without replacement from {o: 4, j: 12, p: 1, n: 2}. Give prob of picking 1 n, 1 p, 1 j, and 1 o.
8/323
Calculate prob of picking 1 e, 1 f, and 2 u when four letters picked without replacement from {e: 1, f: 1, y: 6, z: 4, a: 1, u: 3}.
3/1820
Calculate prob of picking 2 y and 1 f when three letters picked without replacement from {f: 9, y: 5}.
45/182
What is prob of picking 2 t and 1 h when three letters picked without replacement from ttsh?
1/4
Two letters picked without replacement from nnnhnhh. What is prob of picking 1 h and 1 n?
4/7
Four letters picked without replacement from onnzqquzqouqzznqzo. What is prob of picking 3 n and 1 u?
1/1530
Calculate prob of picking 2 q, 1 c, and 1 p when four letters picked without replacement from {q: 4, u: 3, c: 2, g: 3, a: 1, p: 4}.
12/595
What is prob of picking 1 j and 1 v when two letters picked without replacement from jjiijvjjjjkjvikjkij?
20/171
What is prob of picking 1 r and 2 l when three letters picked without replacement from rllllrrlrll?
28/55
What is prob of picking 1 i and 1 e when two letters picked without replacement from tiiiciitettittt?
2/35
Two letters picked without replacement from {g: 3, w: 1}. Give prob of picking 1 g and 1 w.
1/2
Three letters picked without replacement from urrrztrrrztzurrrrtzt. What is prob of picking 1 r, 1 t, and 1 u?
4/57
Two letters picked without replacement from covewewsc. Give prob of picking 1 s and 1 w.
1/18
Four letters picked without replacement from rrrrsrrfrrffsrr. Give prob of picking 4 f.
0
Two letters picked without replacement from {v: 9, c: 1, p: 4}. Give prob of picking 1 v and 1 c.
9/91
Three letters picked without replacement from {e: 2, n: 1, h: 1, i: 1, g: 1, k: 1}. What is prob of picking 1 h and 2 e?
1/35
Two letters picked without replacement from veeeev. What is prob of picking 1 e and 1 v?
8/15
What is prob of picking 1 d and 1 j when two letters picked without replacement from {w: 2, b: 2, x: 2, k: 1, d: 1, j: 1}?
1/36
Calculate prob of picking 3 w and 1 j when four letters picked without replacement from {w: 3, i: 4, f: 2, j: 1}.
1/210
Three letters picked without replacement from {f: 7, a: 4, s: 2, n: 4, v: 1, b: 2}. Give prob of picking 1 b, 1 v, and 1 s.
1/285
Four letters picked without replacement from cepcccupcmpuup. What is prob of picking 2 p, 1 c, and 1 u?
90/1001
Two letters picked without replacement from {q: 2, v: 2, w: 1}. Give prob of picking 2 q.
1/10
Four letters picked without replacement from jjhqonzz. Give prob of picking 2 j, 1 n, and 1 h.
1/70
Three letters picked without replacement from {h: 1, f: 1, d: 4, a: 3, m: 2, c: 1}. What is prob of picking 1 a, 1 d, and 1 c?
3/55
Four letters picked without replacement from yvkvkkkkkjzzjkjkkkk. Give prob of picking 1 j, 2 v, and 1 k.
11/1292
Calculate prob of picking 1 m and 2 u when three letters picked without replacement from mmummu.
1/5
Three letters picked without replacement from {s: 4, v: 4, k: 1, t: 6}. What is prob of picking 1 t, 1 s, and 1 v?
96/455
What is prob of picking 1 q, 1 h, and 1 y when three letters picked without replacement from epvhqyp?
1/35
What is prob of picking 1 p and 1 a when two letters picked without replacement from {r: 2, p: 1, h: 1, a: 2, q: 2}?
1/14
Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {d: 5, g: 2}.
10/21
Calculate prob of picking 1 m and 1 e when two letters picked without replacement from vvxmmde.
2/21
Three letters picked without replacement from {u: 4}. Give prob of picking 3 u.
1
Two letters picked without replacement from {r: 1, l: 2}. What is prob of picking 1 l and 1 r?
2/3
Three letters picked without replacement from {f: 8, q: 8, y: 1}. What is prob of picking 2 f and 1 y?
7/170
Two letters picked without replacement from {e: 5, n: 2, z: 8, m: 2, i: 1}. Give prob of picking 2 z.
28/153
Calculate prob of picking 2 i and 2 r when four letters picked without replacement from {t: 8, i: 1, r: 2, v: 5, p: 3}.
0
Calculate prob of picking 4 p when four letters picked without replacement from zzzzzpppzzzzzzzzzpz.
1/3876
Calculate prob of picking 1 a and 1 e when two letters picked without replacement from lwlegeeeaeglelegewe.
1/19
What is prob of picking 1 m and 1 i when two letters picked without replacement from {q: 2, m: 4, i: 2}?
2/7
What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 9, i: 11}?
99/190
Two letters picked without replacement from {v: 2, h: 6, t: 7}. What is prob of picking 2 v?
1/105
What is prob of picking 2 c, 1 d, and 1 b when four letters picked without replacement from bbscttttcdls?
2/495
Four letters picked without replacement from {l: 2, j: 5, i: 2, x: 2, q: 7}. What is prob of picking 1 q, 1 j, and 2 i?
7/612
Four letters picked without replacement from {j: 2, b: 1, l: 3, x: 2, w: 1, s: 3}. What is prob of picking 1 x, 2 l, and 1 s?
2/55
What is prob of picking 2 s when two letters picked without replacement from ifqsuuqsissu?
1/11
Calculate prob of picking 2 d and 2 l when four letters picked without replacement from {d: 3, k: 3, x: 3, l: 6, v: 2}.
9/476
Two letters picked without replacement from oflflzzqr. Give prob of picking 1 q and 1 f.
1/18
Four letters picked without replacement from {v: 17, h: 2}. Give prob of picking 2 v and 2 h.
2/57
Calculate prob of picking 3 q when three letters picked without replacement from quqqqqqqu.
5/12
Four letters picked without replacement from {v: 5, c: 3}. Give prob of picking 1 v and 3 c.
1/14
Calculate prob of picking 2 e when two letters picked without replacement from eeuebtueubu.
6/55
What is prob of picking 1 e, 1 c, and 1 i when three letters picked without replacement from {c: 2, m: 3, e: 6, v: 1, i: 5}?
3/34
Calculate prob of picking 4 x when four letters picked without replacement from {u: 7, x: 9}.
9/130
Calculate prob of picking 1 b, 1 w, and 1 c when three letters picked without replacement from oocobcgbwbgp.
3/110
Three letters picked without replacement from csxcsb. What is prob of picking 1
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 4*w - 2*r = h*w + 3540, -w = -4*r - 3530. Round w to the nearest 100.
3600
Let a = 20698 - 20629.74. Round a to one decimal place.
68.3
Let g = -79.42 - 0.58. Let u = 83.4 + g. Let x = u + -7.7. Round x to the nearest integer.
-4
Let c = -13655912 - -42908555. Let d = -29252642.82599809 + c. Let k = d - 0.174. What is k rounded to 7 decimal places?
0.0000019
Let n(z) = 13330*z - 43. Let h(a) = -3333*a + 11. Let r(m) = -22*h(m) - 6*n(m). Let g be r(4). What is g rounded to the nearest 10000?
-30000
Suppose -4*z = -4*c - 8186040, 7*c - 2*c + 4093032 = 2*z. Let v = 22766506 - z. Round v to the nearest 1000000.
21000000
Let d = 16360339913.99998868 + -16360340306. Let v = d + 392. Round v to 7 dps.
-0.0000113
Let f = 45.69 + -46. Let b = f - -9.71. Let v = -8.69 + b. Round v to one decimal place.
0.7
Let i(j) = 39702*j + 610. Let g be i(45). What is g rounded to the nearest 10000?
1790000
Let r(g) = 501*g + 100. Let f(x) = -501*x - 102. Let i(l) = -4*f(l) - 3*r(l). Let y be i(12). Round y to the nearest one thousand.
6000
Let m = -188553 - -188611.9878. Let s = -0.1122 - m. What is s rounded to the nearest integer?
-59
Let n = 66.36 + -1.36. Let m = n + -11. Let l = m - 54.00218. Round l to 4 dps.
-0.0022
Let b = 69.3 - 2.8. Let y = -33.259 + -0.741. Let j = b + y. Round j to 0 decimal places.
33
Let x = 10604.8084 - 10611. What is x rounded to the nearest integer?
-6
Let q = -2603 + 989. Let c = -1105 - q. Let v = -509.0209 + c. What is v rounded to three dps?
-0.021
Suppose 15070157 = -168*o - 7280563. What is o rounded to the nearest 10000?
-130000
Let q = 129 + -142. Let a(u) = -11480*u**2 - 2*u + 94. Let x be a(q). What is x rounded to the nearest one hundred thousand?
-1900000
Let d = -18 + 19. Let i = 40 + d. Let p = i - 40.57. What is p rounded to one decimal place?
0.4
Let f = 551.749 - 1.349. Let z = f - 3014.4. Let p = -2464.01007 - z. Round p to three dps.
-0.01
Suppose 3*g + 2*n = -15, 2*g = 3*n - 22 - 1. Let k(l) = 6831*l + 17. Let a be k(g). Round a to the nearest 10000.
-50000
Let f(o) = -44194*o**2 + 54*o - 1160. Let s be f(15). What is s rounded to the nearest one million?
-10000000
Let m = 30527 + -30527.00000028562. What is m rounded to seven dps?
-0.0000003
Let m = -40.629 - 1.241. Let n = 63.849 + m. Let k = 22 - n. Round k to one decimal place.
0
Let k = -168 - -167.883. Let r = -83.883 + k. Let v = 83.9774 + r. Round v to three decimal places.
-0.023
Let w = 1255.99984048 + -1256. Round w to 5 dps.
-0.00016
Let p = -214.44 - -214.30103. What is p rounded to 3 dps?
-0.139
Let b = 191.7888 + -193. Let l = b - -0.2382. Round l to 1 dp.
-1
Let a = 370 + -247. Suppose -a*b - 795800 = -100*b. Round b to the nearest 1000.
-35000
Let l = -8.047 + 8.04716495. What is l rounded to six dps?
0.000165
Let z = -68.1 + 62. Let d = 27.9 - z. Let k = -34.000008 + d. Round k to 5 dps.
-0.00001
Let c = 8770.19 + -8703. Let b = c + 0.51. What is b rounded to the nearest ten?
70
Let a = 40.797 - 30.9255. Let s = 9.9 - a. Let o = 0.02850227 - s. Round o to 7 dps.
0.0000023
Let y = -2532.7 - -2533.01778. What is y rounded to two dps?
0.32
Let t = -14.405 + 0.815. Let j = 14.7 + t. Let n = j - -0.46. Round n to the nearest integer.
2
Let a = 1351.63146 + -4.45446. Let c = a - 1348. What is c rounded to one dp?
-0.8
Let n = -1.045 - 0.259. Let m = -0.12 - n. Round m to one decimal place.
1.2
Let d = 190778578387 + -190778579994.00000993. Let r = 1607 + d. What is r rounded to 7 dps?
-0.0000099
Let q = 3650.1042 + -3651. Let s = 0.556 + q. Round s to two decimal places.
-0.34
Let r = 696 + -1109. Let a = -413.00000423 - r. What is a rounded to 7 decimal places?
-0.0000042
Let f = 99 - 92. Let j = f - 82. Let h = j - -89. Round h to the nearest 10.
10
Let k be 43184703/(-13) + (-666)/(-2886). What is k rounded to the nearest one hundred thousand?
-3300000
Suppose 7*h + 79817 - 47320 = -150210. Round h to the nearest one hundred.
-26100
Let d(m) = 1609683*m**2 + 20*m - 21. Let n be d(-10). Let j = -91068079 + n. What is j rounded to the nearest 1000000?
70000000
Let k = 103 - 106. Let n = -3.04529 - -0.05409. Let z = k - n. What is z rounded to three dps?
-0.009
Let x = -45.5 + 568.5. Let r = -522.99558 + x. What is r rounded to 4 decimal places?
0.0044
Let p(a) = 3*a + 1. Let j be p(14). Let k = 46 - j. Suppose 2*x - k*g + 7800015 = 0, 2*g - 25 = -3*g. What is x rounded to the nearest one million?
-4000000
Suppose 4*p - 12 = 8*p, -4*p - 29540 = -l. What is l rounded to the nearest one hundred?
29500
Let n = 12.28419 - 13.3467. Let f = -1.06 - n. What is f rounded to four decimal places?
0.0025
Let b = -160 + 153.85. Let h = 11.087 + 0.773. Let x = h + b. What is x rounded to the nearest integer?
6
Let c = 15 + -17. Let q = 26 + c. Let w = q + -24.0000182. What is w rounded to six dps?
-0.000018
Let b = -0.45 - -0.75. Let k = -40.3 + b. Let v = 40.78 + k. What is v rounded to one dp?
0.8
Let d = -48.925 + -0.075. Let r = -48.83365 + -0.14235. Let c = d - r. Round c to two dps.
-0.02
Let k = -153 - 43. Let y = -196.0000035 - k. What is y rounded to seven dps?
-0.0000035
Let x(h) = 32*h + 12 - 53*h - 13*h - 44*h. Let c be x(-7). Suppose -4*q = 2*j - j - c, -5*q - 3*j = -701. Round q to the nearest 100.
100
Suppose o - 3943878 = n, 4*o + 5*n = 11639981 + 4135522. Suppose -41*c - o = -475277. Round c to the nearest ten thousand.
-80000
Let n = 0.06299 - 0.0629908. Round n to four dps.
0
Suppose a - 2*p = 228292, 2*a + 3*p + p = 456608. Let m = a - 1383298. Round m to the nearest one hundred thousand.
-1200000
Let l(i) = 12*i + 31. Let h be l(-8). Let t = h - -1070. Let b = t - 4105. Round b to the nearest 1000.
-3000
Let x = 1.94 - -0.46. Let q = x + -2.85. Let b = -0.362 - q. What is b rounded to two dps?
0.09
Let d(t) = 3*t - 14. Let y be d(6). Suppose -3*m - 20577336 = -2*q, -q - 30866026 = -y*q - m. Let z = 2988674 - q. Round z to the nearest 1000000.
-7000000
Suppose 919880449 = -34*i + 6266449. Round i to the nearest one hundred thousand.
-26900000
Let i = -399.399968059 - -399.4. Round i to seven dps.
0.0000319
Let g = -36 - -38.4. Let b = -12.4 + g. Let s = b - -10.65. What is s rounded to one decimal place?
0.7
Suppose -p = -5*x - 220012, -3*x = 5*p - p - 880002. Suppose 3*o + 550006 = -5*u, -14*u - p = -12*u + o. Round u to the nearest 1000000.
0
Let y be (10/(-8))/(1/(-12)). Let v = -23 + y. Let w(n) = 70*n**2 - 3*n - 4. Let o be w(v). What is o rounded to the nearest 100?
4500
Let i = -12219 - -12224.7878. What is i rounded to 0 dps?
6
Let o = 1334.907 - 1340.7. What is o rounded to the nearest integer?
-6
Suppose -2*o + 2*x = -20, -13 = 3*o - 4*x - 46. Suppose -11 - o = -6*u. Suppose z = -u*m - z - 1172998, -1 = -z. Round m to the nearest 100000.
-400000
Let h = 502 + -502.0438. Let t = 2.3 - 2.355. Let q = t - h. What is q rounded to 3 decimal places?
-0.011
Let d = -106 - -100.5. Let a = d - -6.56. Round a to one decimal place.
1.1
Suppose -9*n - 12861 = -8238160 + 60501799. What is n rounded to the nearest 100000?
-5800000
Suppose -2*t - 8 + 0 = -4*z, 2*t + 4*z = 16. Suppose 0 = -5*l - 20, t*c + l = -c + 203. Suppose c*r + 7600 = 71*r. Round r to the nearest one thousand.
4000
Let j = -16 + 733. Let y = j - 717.0000378. Round y to 5 dps.
-0.00004
Let o = 366126 - 78184. Suppose -97942 + o = -5*l. Round l to the nearest ten thousand.
-40000
Let t = 11.899507 + -11.9. Round t to three dps.
0
Let n = -12111 + 12110.94863. What is n rounded to 3 dps?
-0.051
Let h = 12140 - 5613. Let r = 9177 - h. What is r rounded to the nearest one hundred?
2700
Let t = -19057 + 19057.0060452. Round t to 3 decimal places.
0.006
Let s = 2150.7424 + -2151. Round s to 1 dp.
-0.3
Let z = -3.83 + 2.1. Let r = -0.29 - z. Let b = r + -13.64. What is b rounded to zero dps?
-12
Let s(h) = 146161*h + 93. Let g = -164 - -151. Let u be s(g). Round u to the nearest 1000000.
-2000000
Let f = 1.3159 - 0.1159. Let v = -1333 + 1334.203. Let j = v - f. Round j to 2 dps.
0
Suppose 0 = 12*a - 27*a + 8625. Let c = 831 - a. What is c rounded to the nearest ten?
260
Suppose -14*n + 11*n - 38112 = 0. Let a = n + 8460. Let l = a - -6584. Round l to the nearest one thousand.
2000
Let w(k) = -2*k + 59 - 24 - k - k. Let v be w(8). Suppose u - v*i = 342, 2*i + 3 = -5. Round u
|
{
"pile_set_name": "DM Mathematics"
}
|
113, 104?
-4*a**2 + 43*a - 1
What is the m'th term of 12, 34, 52, 60, 52, 22, -36, -128?
-m**3 + 4*m**2 + 17*m - 8
What is the x'th term of -41, -7, 77, 235, 491, 869, 1393, 2087?
4*x**3 + x**2 + 3*x - 49
What is the b'th term of 62, 144, 224, 302, 378, 452?
-b**2 + 85*b - 22
What is the s'th term of -5, 14, 47, 100, 179, 290, 439, 632?
s**3 + s**2 + 9*s - 16
What is the u'th term of -18598, -37197, -55796, -74395, -92994, -111593?
-18599*u + 1
What is the w'th term of -50, -218, -498, -890, -1394, -2010, -2738?
-56*w**2 + 6
What is the x'th term of -32, -31, -22, 1, 44?
x**3 - 2*x**2 - 31
What is the m'th term of -8, -60, -146, -266, -420, -608, -830?
-17*m**2 - m + 10
What is the j'th term of 836, 831, 822, 809, 792?
-2*j**2 + j + 837
What is the m'th term of -480, -479, -478, -477, -476, -475?
m - 481
What is the d'th term of 8539, 8547, 8543, 8521, 8475, 8399?
-d**3 + 15*d + 8525
What is the z'th term of -65, -99, -133?
-34*z - 31
What is the o'th term of 61, 93, 131, 175, 225?
3*o**2 + 23*o + 35
What is the i'th term of -38, -70, -80, -56, 14, 142, 340?
2*i**3 - i**2 - 43*i + 4
What is the v'th term of -116, -165, -232, -317, -420?
-9*v**2 - 22*v - 85
What is the n'th term of -3441, -3451, -3473, -3513, -3577, -3671?
-n**3 - 3*n - 3437
What is the h'th term of -350, -316, -282, -248?
34*h - 384
What is the r'th term of -518, -516, -514?
2*r - 520
What is the o'th term of -17, -8, 1, 10?
9*o - 26
What is the g'th term of 771, 1544, 2317?
773*g - 2
What is the s'th term of 17, 84, 247, 554, 1053, 1792, 2819, 4182?
8*s**3 + 11*s - 2
What is the u'th term of -122, -250, -388, -542, -718, -922, -1160, -1438?
-u**3 + u**2 - 124*u + 2
What is the s'th term of -1133, -1133, -1135, -1139, -1145, -1153?
-s**2 + 3*s - 1135
What is the g'th term of 38, 69, 96, 119?
-2*g**2 + 37*g + 3
What is the l'th term of 28, 36, 44, 52?
8*l + 20
What is the g'th term of -371, -1417, -3159, -5597, -8731, -12561, -17087?
-348*g**2 - 2*g - 21
What is the t'th term of -226, -251, -276, -301, -326, -351?
-25*t - 201
What is the g'th term of -4195, -8397, -12597, -16795, -20991, -25185?
g**2 - 4205*g + 9
What is the w'th term of -3111, -3113, -3117, -3123, -3131, -3141?
-w**2 + w - 3111
What is the o'th term of -175, -330, -459, -550, -591, -570, -475?
2*o**3 + o**2 - 172*o - 6
What is the d'th term of 223, 897, 2021, 3595, 5619, 8093, 11017?
225*d**2 - d - 1
What is the w'th term of 603, 2423, 5457, 9705, 15167, 21843?
607*w**2 - w - 3
What is the s'th term of 58, 38, 0, -62, -154, -282?
-s**3 - 3*s**2 - 4*s + 66
What is the z'th term of 40, 80, 120, 160, 200, 240?
40*z
What is the g'th term of -20, -26, -60, -134, -260, -450?
-2*g**3 - 2*g**2 + 14*g - 30
What is the j'th term of 13332, 26662, 39992, 53322?
13330*j + 2
What is the u'th term of -1, -12, -23, -34, -45, -56?
-11*u + 10
What is the n'th term of 1715, 1716, 1717, 1718?
n + 1714
What is the q'th term of 1520, 1517, 1514?
-3*q + 1523
What is the c'th term of -365, -366, -367?
-c - 364
What is the m'th term of 11, 48, 87, 128, 171?
m**2 + 34*m - 24
What is the v'th term of -46, -177, -396, -703, -1098, -1581?
-44*v**2 + v - 3
What is the j'th term of -30, -25, -20, -15, -10?
5*j - 35
What is the u'th term of 618, 624, 630, 636, 642?
6*u + 612
What is the x'th term of -126, -260, -398, -540, -686, -836, -990?
-2*x**2 - 128*x + 4
What is the k'th term of -2696, -2693, -2690, -2687, -2684, -2681?
3*k - 2699
What is the c'th term of 273, 291, 321, 363, 417, 483, 561?
6*c**2 + 267
What is the p'th term of -249, -253, -267, -297, -349, -429, -543, -697?
-p**3 + p**2 - 249
What is the q'th term of -963, -961, -959, -957, -955, -953?
2*q - 965
What is the r'th term of 843, 845, 845, 843, 839, 833, 825?
-r**2 + 5*r + 839
What is the u'th term of -1, 0, 23, 80, 183, 344?
2*u**3 - u**2 - 10*u + 8
What is the g'th term of 1959, 1956, 1951, 1944, 1935?
-g**2 + 1960
What is the w'th term of -764, -1512, -2262, -3014, -3768?
-w**2 - 745*w - 18
What is the v'th term of 21, -68, -311, -786, -1571?
-13*v**3 + v**2 - v + 34
What is the r'th term of -72, -75, -92, -129, -192, -287, -420?
-r**3 - r**2 + 7*r - 77
What is the w'th term of -51, -53, -51, -45?
2*w**2 - 8*w - 45
What is the h'th term of 176, 761, 1736, 3101, 4856?
195*h**2 - 19
What is the t'th term of 33, 65, 107, 165, 245, 353, 495, 677?
t**3 - t**2 + 28*t + 5
What is the a'th term of 13, 31, 57, 91, 133, 183, 241?
4*a**2 + 6*a + 3
What is the w'th term of 13, 126, 421, 988, 1917, 3298?
15*w**3 + w**2 + 5*w - 8
What is the x'th term of 3392, 13558, 30500, 54218, 84712, 121982, 166028?
3388*x**2 + 2*x + 2
What is the h'th term of -53, -100, -229, -482, -901, -1528, -2405?
-7*h**3 + h**2 - h - 46
What is the a'th term of -355, -357, -355, -349?
2*a**2 - 8*a - 349
What is the w'th term of -31, -90, -189, -328, -507, -726?
-20*w**2 + w - 12
What is the i'th term of 59, 199, 431, 755, 1171?
46*i**2 + 2*i + 11
What is the f'th term of 30, 28, 26, 24, 22, 20?
-2*f + 32
What is the p'th term of -17, -104, -191, -278, -365?
-87*p + 70
What is the l'th term of 0, -1, -2, -3?
-l + 1
What is the h'th term of -11, -86, -209, -374, -575, -806, -1061, -1334?
h**3 - 30*h**2 + 8*h + 10
What is the p'th term of 10, 25, 66, 145, 274, 465?
2*p**3 + p**2 - 2*p + 9
What is the d'th term of -4744, -4738, -4732, -4726, -4720, -4714?
6*d - 4750
What is the p'th term of 101, 99, 97, 95?
-2*p + 103
What is the j'th term of 84, 149, 228, 327, 452, 609?
j**3 + j**2 + 55*j + 27
What is the n'th term of 1030, 1031, 1032, 1033, 1034, 1035?
n + 1029
What is the g'th term of 9, 21, 33, 45, 57?
12*g - 3
What is the j'th term of -469, -948, -1427, -1906, -2385, -2864?
-479*j + 10
What is the j'th term of -14, -30, -46, -62, -78, -94?
-16*j + 2
What is the y'th term of 34, 71, 138, 241, 386?
y**3 + 9*y**2 + 3*y + 21
What is the i'th term of -285, -414, -541, -666, -789?
i**2 - 132*i - 154
What is the l'th term of 50, 69, 92, 119, 150, 185, 224?
2*l**2 + 13*l + 35
What is the f'th term of -55, -100, -147, -196?
-f**2 - 42*f - 12
What is the w'th term of -969, -938, -907?
31*w - 1000
What is the x'th term of -90, -290, -614, -1056, -1610, -2270?
x**3 - 68*x**2 - 3*x - 20
What is the k'th term of -32, -55, -116, -233, -424, -707, -1100?
-3*k**3 - k**2 + k - 29
What is the g'th term of 6, 4, 4, 6, 10, 16?
g**2 - 5*g + 10
What is the j'th term of -242, -240, -236, -230, -222, -212?
j**2 - j - 242
What is the r'th term of 119, 120, 121, 122, 123?
r + 118
What is the w'th term of -143, -187, -259, -371, -535, -763?
-2*w**3 - 2*w**2 - 24*w - 115
What is the v'th term of -1736, -1730, -1712, -1676, -1616?
v**3 - v - 1736
What is the k'th term of -4, -6, -6, 2, 24, 66, 134?
k**3 - 5*k**2 + 6*k - 6
What is the f'th term of 69, 94, 135, 192, 265?
8*f**2 + f + 60
What is the g'th term of 174, 219, 264, 309, 354, 399?
45*g + 129
What is the a'th term of 70, 72, 72, 70, 66?
-a**2 + 5*a + 66
What is the s'th term of 137, 540, 1211, 2150, 3357, 4832, 6575?
134*s**2 + s + 2
What is the a'th term of 15, 46, 129, 288, 547, 930, 1461, 2164?
4*a**3 + 2*a**2 - 3*a + 12
What is the y'th term of -11, -17, -25, -35, -47?
-y**2 - 3*y - 7
What is the p'th term of -72, -659, -2246, -5331, -10412, -17987, -28554?
-83*p**3 - 2*p**2 + 13
What is the b'th term of -173, -352, -531, -710?
-179*b + 6
What is the d'th term of 2975, 5954, 8935, 11918, 14903?
d**2 + 2976*d - 2
What is the h'th term of -11805, -23606, -35407, -47208?
-11801*h - 4
What is the p'th term of 130, 39, -52, -143, -234?
-91*p + 221
What is the l'th term of 52, 53, 54, 55, 56, 57?
l + 51
What is the u'th term of -317, -309, -297, -281, -261, -237, -209?
2*u**2 + 2*u - 321
What is the a'th term of 347, 341, 339, 341?
2*a**2 - 12*a + 357
What is the d'th term of 214, 216, 218, 220, 222, 224?
2*d + 212
What is the f'th term of 299, 588, 865, 1124, 1359, 1564, 1733, 1860?
-f**3 + 296*f + 4
What is the r'th term of -27, -70, -127, -192, -259, -322, -375?
r**3 - 13*r**2 - 11*r - 4
What is the s'th term of 88, 175, 258, 337, 412, 483, 550?
-2*s**2 + 93*s - 3
What is the a'th term of 3651, 3650, 3649, 3648, 3647?
-a + 3652
What is the o'th term of -271, -270, -269, -268, -267, -266?
o - 272
What is the t'th term of -10, -29, -82, -187, -362?
-3*t**3 + t**2 - t - 7
What
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon factor of 645 and 183180?
645
What is the greatest common factor of 153 and 38913?
51
Calculate the greatest common divisor of 3185 and 21.
7
Calculate the greatest common factor of 2442 and 11275.
11
Calculate the highest common factor of 24 and 23448.
24
What is the highest common factor of 1066 and 15293?
41
Calculate the greatest common divisor of 1642129 and 1043.
149
Calculate the highest common factor of 6747 and 897.
39
What is the greatest common factor of 83851 and 923?
71
What is the greatest common factor of 119 and 39763?
17
What is the highest common divisor of 566892 and 540?
108
What is the greatest common divisor of 938 and 5026?
14
Calculate the highest common divisor of 41 and 81713.
41
What is the highest common divisor of 286 and 8229507?
143
Calculate the highest common divisor of 4040437 and 74.
37
What is the greatest common factor of 26 and 31668?
26
Calculate the greatest common divisor of 1140187 and 73.
73
Calculate the highest common divisor of 75 and 137325.
75
Calculate the highest common divisor of 18 and 45654.
6
Calculate the greatest common factor of 3133 and 30607.
241
What is the greatest common factor of 3680999 and 203?
203
What is the greatest common factor of 129 and 290981?
43
Calculate the highest common divisor of 144 and 8028.
36
What is the greatest common factor of 64 and 1293296?
16
Calculate the greatest common divisor of 37 and 389.
1
Calculate the greatest common factor of 82 and 11398.
82
What is the highest common factor of 450 and 36030?
30
Calculate the highest common divisor of 24 and 572424.
24
What is the highest common divisor of 117594 and 1112?
278
Calculate the greatest common factor of 15072 and 22080.
96
What is the greatest common divisor of 44 and 881254?
22
What is the highest common factor of 152 and 631256?
152
What is the greatest common factor of 5971 and 19614?
7
Calculate the highest common factor of 379960 and 2944.
184
What is the greatest common factor of 9 and 1764594?
9
What is the greatest common factor of 125020 and 30?
10
What is the greatest common factor of 100 and 44220?
20
Calculate the greatest common factor of 315 and 133.
7
What is the greatest common divisor of 20859 and 255?
51
What is the highest common divisor of 39 and 2327013?
39
What is the highest common divisor of 15744055 and 185?
185
What is the highest common divisor of 72800 and 160?
160
Calculate the greatest common divisor of 15 and 71292.
3
What is the highest common factor of 1336 and 2199056?
1336
What is the highest common factor of 189044 and 20659?
283
What is the greatest common divisor of 7038 and 6762?
138
What is the highest common factor of 404280 and 3240?
360
Calculate the highest common divisor of 1208792 and 472.
472
What is the highest common factor of 14286 and 81?
3
Calculate the highest common factor of 2535 and 120.
15
What is the greatest common divisor of 14 and 259?
7
What is the highest common factor of 328 and 178637?
41
Calculate the greatest common divisor of 18853 and 51.
17
What is the highest common factor of 286853 and 49?
7
What is the greatest common divisor of 5409 and 4207?
601
What is the greatest common divisor of 675 and 31275?
225
Calculate the greatest common divisor of 1567874 and 308.
154
Calculate the highest common factor of 19 and 43453.
19
What is the greatest common factor of 568763 and 52?
13
Calculate the highest common divisor of 2320 and 3364.
116
What is the highest common factor of 7424 and 7192?
232
What is the highest common divisor of 2033323 and 21527?
1957
What is the highest common factor of 5417188 and 217?
217
What is the greatest common divisor of 124545 and 360?
15
What is the greatest common divisor of 435479 and 122?
61
What is the greatest common factor of 66250 and 10?
10
Calculate the highest common divisor of 33754 and 1834.
14
Calculate the highest common factor of 260 and 39455.
65
What is the highest common factor of 502815 and 15?
15
Calculate the highest common factor of 143320 and 60.
20
What is the greatest common divisor of 210 and 259203?
21
What is the greatest common factor of 12650 and 116150?
1150
Calculate the greatest common divisor of 1314 and 334413.
657
Calculate the greatest common factor of 23400 and 18.
18
What is the highest common divisor of 11457 and 46113?
57
What is the greatest common factor of 1037 and 1029741?
1037
Calculate the highest common divisor of 48 and 391136.
16
Calculate the highest common factor of 14 and 11494.
14
What is the greatest common factor of 188 and 86856?
188
Calculate the greatest common factor of 3841 and 4342.
167
What is the highest common divisor of 29664 and 36?
36
What is the greatest common factor of 305081 and 2870?
287
Calculate the highest common divisor of 5194424 and 848.
424
What is the highest common divisor of 3663 and 48312?
99
Calculate the highest common factor of 688 and 3116.
4
What is the greatest common factor of 35695 and 472?
59
Calculate the highest common divisor of 161 and 714.
7
What is the greatest common divisor of 32 and 2045864?
8
What is the greatest common divisor of 7854 and 1089?
33
Calculate the highest common factor of 3240 and 2741850.
810
Calculate the highest common factor of 1290 and 50430.
30
Calculate the greatest common factor of 8840 and 355640.
680
Calculate the highest common divisor of 60 and 84480.
60
What is the greatest common factor of 264 and 41481?
33
Calculate the greatest common divisor of 202961 and 44.
11
Calculate the greatest common factor of 2612 and 341519.
653
What is the greatest common factor of 304740 and 1500?
60
Calculate the highest common factor of 55616 and 968.
88
Calculate the greatest common factor of 3116418 and 228.
114
Calculate the greatest common factor of 3015568 and 16.
16
Calculate the greatest common factor of 144 and 732.
12
What is the highest common factor of 37 and 1174787?
37
What is the greatest common factor of 20 and 161380?
20
What is the greatest common divisor of 1953624 and 120?
24
What is the greatest common factor of 571711 and 46?
23
What is the greatest common factor of 19038 and 24549?
501
What is the greatest common factor of 325 and 223775?
25
What is the highest common factor of 215220 and 255?
255
What is the greatest common divisor of 33615575 and 2135?
2135
What is the highest common divisor of 1057 and 7?
7
Calculate the greatest common divisor of 2448 and 32436.
612
What is the highest common divisor of 85 and 858415?
85
What is the highest common divisor of 9315302 and 1492?
746
What is the greatest common factor of 1386 and 3102?
66
Calculate the greatest common divisor of 814065 and 840.
105
Calculate the greatest common divisor of 34338 and 5664.
354
What is the greatest common divisor of 270 and 825210?
90
What is the highest common factor of 732569 and 29?
29
Calculate the highest common divisor of 5891921 and 581.
581
What is the highest common factor of 35812 and 35?
7
What is the greatest common divisor of 261 and 128412?
261
What is the greatest common divisor of 480 and 68385?
15
What is the greatest common divisor of 26 and 56537?
13
What is the greatest common factor of 210 and 965?
5
What is the highest common divisor of 40 and 260?
20
What is the highest common divisor of 7710 and 2190?
30
Calculate the highest common factor of 179277 and 378.
21
Calculate the greatest common factor of 1740 and 118.
2
Calculate the greatest common divisor of 12084 and 24.
12
What is the greatest common divisor of 656 and 71873?
41
What is the greatest common factor of 157380 and 71980?
1220
Calculate the greatest common divisor of 11461 and 1679.
73
What is the greatest common divisor of 2383 and 12?
1
Calculate the highest common factor of 39303 and 10791.
99
Calculate the highest common factor of 19364 and 50948.
188
What is the greatest common divisor of 11284 and 5148?
52
Calculate the highest common factor of 3280 and 79216.
16
Calculate the greatest common divisor of 5004 and 1494.
18
What is the greatest common divisor of 72 and 600144?
24
Calculate the highest common factor of 4316 and 247.
13
What is the greatest common divisor of 3400 and 9320?
40
Calculate the greatest common factor of 571 and 12920017.
571
Calculate the greatest common factor of
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 2471 minus 0.5?
2470.5
Work out 5 - 51165.
-51160
Calculate -1.809104 - 0.5.
-2.309104
Add 1604 and 3.07.
1607.07
Work out -2265 + -9.9.
-2274.9
-235 + -22
-257
Work out -19355.5 - -2.
-19353.5
What is 2384 less than 0.4?
-2383.6
Total of -46 and 692.
646
Calculate -3746 + 0.2.
-3745.8
Put together 4 and 1195.
1199
What is -4.4 less than 38.4?
42.8
-0.240132 - -26
25.759868
Add -58539 and -2.
-58541
Add together 38419.65 and -0.3.
38419.35
Put together 94 and -22.
72
Calculate -78 + -10182.
-10260
Work out 39125 + -0.06.
39124.94
61+-61
0
Work out 0.0047 - -0.3.
0.3047
533+-0.047
532.953
What is -0.176347 minus -12?
11.823653
What is 0.1672301 minus -0.5?
0.6672301
Add 319 and 0.692.
319.692
What is -0.04 - -11.14255?
11.10255
Calculate 106 - -1.18.
107.18
Sum 125266 and -11.
125255
-92.469 - 0.3
-92.769
Sum -144674 and -1.
-144675
What is the distance between 184.2 and 7.63?
176.57
Calculate -1845.98 - 0.7.
-1846.68
Calculate 0.5 + 25077.
25077.5
Total of -174 and 1.
-173
What is -219540 plus -0.3?
-219540.3
2 - -1319597
1319599
Work out 0.1 - -0.0113.
0.1113
What is the difference between 47 and 3?
44
Subtract -568805 from 6.
568811
Sum -0.3 and 4.
3.7
Subtract 0.07 from -1.01253.
-1.08253
What is the distance between -0.9 and 124182?
124182.9
-3 + -0.0915
-3.0915
Add together 1 and -248273.
-248272
What is 143.333 + 0.4?
143.733
What is the difference between -519.9 and -0.9?
519
-14 - 2221.6
-2235.6
What is 3555232 - 2?
3555230
Sum -0.2 and -413.516.
-413.716
8194.73 - -0.2
8194.93
Calculate 3.54 - -0.06.
3.6
Work out -7788 + 5.
-7783
What is 2.7 - -18693?
18695.7
What is the distance between -589026 and -0.4?
589025.6
What is -0.04 - 52?
-52.04
What is -4 - -1531?
1527
What is the distance between 54729 and -2?
54731
Subtract 7 from -10025.
-10032
Work out -87 - 0.51.
-87.51
What is -4711 less than -0.21?
4710.79
What is -1 plus 1240255?
1240254
Work out 2613363 - -1.
2613364
What is -0.196 take away -2.6?
2.404
Calculate 15.0001 - -0.5.
15.5001
-0.11 - 1652.2
-1652.31
Add -5 and 510.
505
Add together -1 and 1297653.
1297652
Calculate 1343.1 + 0.3.
1343.4
What is -625974 minus -13?
-625961
What is the distance between 19522 and 0.4?
19521.6
0.2518+-2
-1.7482
Work out -0.00178584 - -1.
0.99821416
What is -7.241 + -1?
-8.241
-2.2 + -0.0264
-2.2264
Add together -0.016 and 1.42.
1.404
What is -5 less than -19.63?
-14.63
What is the distance between 79 and -0.05?
79.05
Calculate 1.05314 + -0.03.
1.02314
-41.001 - 5
-46.001
Work out 3226.3 + 1.
3227.3
Add together -2 and 4.4989.
2.4989
1 - 5.13
-4.13
-1.2882+5
3.7118
What is the difference between 0.14 and -0.002791?
0.142791
What is -1 + 3371238?
3371237
What is -3.2 minus -610?
606.8
What is 6.226 plus -6?
0.226
What is the difference between 2 and 27967?
27965
What is -5762.4 - -3?
-5759.4
What is the difference between -1.9713 and -0.84?
1.1313
6+-637
-631
Subtract 13.6 from 0.0473.
-13.5527
What is 0.04255 minus -37?
37.04255
17 + 1707
1724
Add -1180 and -7.42.
-1187.42
Calculate 405 - 2.
403
Sum 5595 and -567.
5028
46001.8+-4
45997.8
What is 9.869 plus -0.089?
9.78
What is -187162 + 4?
-187158
Subtract -57 from -140.
-83
Add together 73 and -824.
-751
What is the difference between -5 and 3195?
3200
What is -0.5222 - 347?
-347.5222
121009 - -1
121010
What is -0.4 less than -88500?
-88499.6
-2056.9+0.136
-2056.764
What is 1 plus 49.8?
50.8
Subtract 272 from 1.5.
-270.5
-292.18 - 0.3
-292.48
What is the difference between -201122 and -0.2?
201121.8
What is -14.1 - 0.019?
-14.119
-0.048341+4
3.951659
Calculate -0.946683 - 0.2.
-1.146683
Calculate 0.1 - 2.63.
-2.53
What is -64000 + -0.02?
-64000.02
What is -210.6 take away 4?
-214.6
What is 2.4 - -174?
176.4
-3805+-9
-3814
-3 - 25.339
-28.339
Add together 35929 and 0.87.
35929.87
Sum 0.5 and -38.3365.
-37.8365
Work out 0.2 + 378.
378.2
What is -13008.3 less than 0.16?
13008.46
What is -0.5 minus 5689.22?
-5689.72
Total of 274.4 and -0.0636.
274.3364
Calculate 3 + -3963.
-3960
Calculate 0.02 + 8.9.
8.92
2.3+-1664
-1661.7
What is -11210 take away -8?
-11202
Sum -5603 and 0.1.
-5602.9
-0.5+-0.109
-0.609
Work out -9 + -3.08658.
-12.08658
What is the difference between -0.067 and 29?
29.067
0.22 + -0.23756
-0.01756
What is the difference between -239540 and 0.3?
239540.3
What is the difference between 10710 and 225?
10485
What is 23.79 take away 192?
-168.21
What is -0.0688 less than 4?
4.0688
What is the difference between -0.4 and -166?
165.6
Total of -0.0539 and -90.
-90.0539
Total of 0.45 and -25237.
-25236.55
What is the distance between -4 and 4.476?
8.476
Subtract 610.2 from 8.
-602.2
Work out -0.2 - -3.68.
3.48
Calculate 14 - 47159.
-47145
Work out -968 + 47.
-921
Total of -0.4 and 94.7533.
94.3533
-3394+0.5
-3393.5
Add 317 and -1483.
-1166
What is -4 plus 454?
450
Subtract 0.3925 from -0.3.
-0.6925
66413 + 16
66429
Work out 3 - -0.03174.
3.03174
Put together -0.5 and -1784.917.
-1785.417
What is -24 less than 0.0064?
24.0064
What is -0.05 + -14662.7?
-14662.75
Total of 6994 and 91.
7085
Add together 8366 and -0.4.
8365.6
Calculate -1.50679 + -14.
-15.50679
Subtract 116 from 0.
-116
What is the difference between 3 and -0.025223?
3.025223
-3041+27.4
-3013.6
What is -54 take away -670.7?
616.7
0.051 + -18
-17.949
Calculate -0.9 - 166.
-166.9
What is 60 + 0.4185?
60.4185
-0.5 + -1366
-1366.5
-0.098411 - -15.2
15.101589
Work out -17 + 0.07.
-16.93
Sum -0.3 and -886.
-886.3
Subtract 544 from -0.09.
-544.09
-24004.5 + 4
-24000.5
Calculate -16.373 + 0.1.
-16.273
Add together 0.03 and 4369.
4369.03
What is -0.05 minus 2?
-2.05
What is the distance between -12 and -169881?
169869
Work out 46 - 597.
-551
What is -297 - 2224?
-2521
What is -0.5 + 1098028?
1098027.5
Sum -0.022918 and -0.4.
-0.422918
What is the distance between 218.4 and 16?
202.4
What is 0.3 minus 0.107208?
0.192792
Calculate -0.182004 - -0.3.
0.117996
What is -106 take away -7?
-99
What is 3738 minus -36?
3774
Subtract -159 from 3712.
3871
Calculate -913.28 - -6.
-907.28
Subtract -0.1 from -20549.
-20548.9
Total of 40.97 and -3.
37.97
What is -0.1323 take away 17.5?
-17.6323
-12 - -2.8317
-9.1683
What is -5 - 97185?
-97190
What is 24 plus 341?
365
What is 22 less than 0.40374?
-21.59626
Add together 628 and -0.213.
627.787
Sum -45422 and 3.
-45419
What is -232.55 less than 6?
238.55
Calculate 0.279 + 18.
18.279
Calculate 688136 + 5.
688141
Subtract -364 from -0.5.
363.5
What is 8.91 minus -0.0569?
8.9669
What is -0.0221 minus 165?
-165.0221
What is 173 take away -55?
228
What is -0.9 + 0.0449?
-0.8551
39 + 0.019
39.019
Put together 0.285 and -0.9.
-0.615
What is the difference between 1221.061 and -0.1?
1221.161
Sum -930 and 15.
-915
Subtract -5 from -460937.
-460932
What is the distance between -52.21 and -0.6?
51.61
What is 0.3 less than -18.48?
-18.78
Add together 41757 and -2.5.
41754.5
Work out -667681 + -0.2.
-667681.2
Work out -0.044827 + 0.
-0.044827
What is the difference between 0.0142 and 0.2?
0.1858
What is -5 minus -0.045838?
-4.954162
What is -0.041 less than -26.2?
-26.159
Work out -0.04 - 0.0063.
-0.0463
Add together -0.13 and -26.786.
-26.916
5 + -49668
-49663
-0.5 + 13.012
12.512
What is -0.13697 - 13?
-13.13697
What is 5520 minus -0.74?
5520.74
Put together -7032 and 0.
-7032
Add together -376950 and -0.7.
-376950.7
Subtract 21.64 from -0.0436.
-21.6836
What is -3 - -11.118?
8.118
Subtract -342 from -5.
337
Calculate -0.125 - -1.57.
1.445
Work out -0.0507 - -1669.
1668.9493
1128+6.79
1134.79
What is the difference between 0.029 and 35?
34.971
Calculate 0.1 + -2481.09.
-2480.99
-195 - -11886
11691
Work out 2798 + -0.1654.
2797.8346
What is 0 plus -275?
-275
What is -1006.4 minus -0.3?
-1006.1
What is the difference between 0.852 and -2280?
2280.852
What is the distance between 4.7533 and 3?
1.7533
Subtract -0.4 from -45588.
-45587.6
Work out -0.08 - -2515.6.
2515.52
What is 2 minus -0.326?
2.326
What is 0.38 less than -0.021264?
-0.401264
What is -3927 take away 91?
-4018
Work out -0.2 + -337.
-337.2
0.5+-4815
-4814.5
What is 0.015 minus 128?
-127.985
What is the distance between -0.182 and 3?
3.182
What is 5 take away 36996?
-36991
What is 83.21 take away -723?
806.21
Calculate -0.97 + 0.28.
-0.69
2.04 - 13
-10.96
Add together -38827 and 4.
-38823
What
|
{
"pile_set_name": "DM Mathematics"
}
|
1). What is the greatest common factor of w and 3?
3
Let s = 76 - -9. What is the greatest common divisor of s and 17?
17
Let z(r) = -r**3 - 8*r**2 - 19*r - 8. Let h be z(-6). Calculate the greatest common factor of 85 and h.
17
Suppose 0 = -4*j + 253 - 53. What is the greatest common divisor of 20 and j?
10
Let o(v) = 2*v + 3. Let q be o(-3). Let r = q - -3. Suppose -5*j = -r*j - 100. What is the greatest common factor of 5 and j?
5
Let o = -57 - -66. Calculate the greatest common factor of o and 144.
9
Let y be 1569/15 - 4/(-10). What is the greatest common factor of 35 and y?
35
Let w be 1*(62 + 4) - -4. What is the greatest common factor of w and 14?
14
Suppose -5*y = -2*y - 5*l - 21, -5*l = 2*y - 39. What is the greatest common factor of y and 6?
6
Let v be (8*3 - 2) + 4. Calculate the greatest common factor of 65 and v.
13
Let r = -31 - -41. Calculate the greatest common divisor of r and 25.
5
Suppose -3*c = 4*v - 60, -c - v + 60 = 2*c. Let a(n) = -4*n + 2. Let f be a(-7). Calculate the greatest common factor of c and f.
10
Suppose 4*r - 201 = 3*y, -141 = -3*r + 2*y + 10. Calculate the greatest common divisor of r and 17.
17
Let g = 3 + 1. Let y = 67 + -35. Calculate the highest common factor of g and y.
4
Let w be 613/5 + (-2)/(-5). Calculate the greatest common factor of 82 and w.
41
Let d(k) = -k**2 + 8*k + 8. Let l = 7 + 1. Let y be d(l). What is the greatest common factor of y and 20?
4
Let a = 10 - 5. Let h(t) = 2*t**2 - 5*t + 5. Let n be h(a). Calculate the greatest common factor of 3 and n.
3
Suppose -18 = -5*m + 3*g, -3*m + 2 + 4 = 3*g. Suppose -3*z - 5 = -3*x - 17, m*z = -3. Let u = 0 - x. Calculate the highest common divisor of u and 20.
5
Let j be (-107)/(-4) - (-4)/16. Suppose -q + 2*q = j. Calculate the highest common factor of 18 and q.
9
Let w(x) be the first derivative of 3*x**2/2 + 4*x + 2. Let m be w(3). What is the highest common divisor of m and 39?
13
Suppose -9*o + 5*o = -8. Suppose 2*d - 3*f - o*f = 266, 0 = 5*d - 4*f - 648. Calculate the highest common factor of 16 and d.
16
Let n be 910/4 - (2 + (-10)/4). What is the greatest common factor of 57 and n?
57
Suppose 3 = 2*m + f, -4*m - 2*f = -5*f - 21. Let d be 5/m + (-3)/(-9). Suppose -62 = -d*l - 2*j, 6*j = 4*j + 6. What is the greatest common factor of l and 42?
14
Let x be 240/40 + (1 + -2)*2. What is the highest common factor of x and 28?
4
Suppose 60 = 4*s - 3*u, -s = -2*s - u + 22. Calculate the highest common factor of 72 and s.
18
Suppose 0 = -3*d + 5*z + 75, 5*z = d + 4*z - 23. What is the highest common factor of 50 and d?
10
Let n be (10/4)/((-9)/54)*-1. What is the greatest common divisor of n and 60?
15
Let i = -11 - -18. Let c be ((-6)/i)/((-2)/14). Suppose -2*h + 2*j + 12 = 0, 5*h - c*j - 31 = -2*j. What is the greatest common factor of h and 14?
7
Let t = 17 - 17. Suppose t = 3*i - 8*i + 10. Calculate the highest common factor of 5 and i.
1
Let m be ((-6)/8)/((-5)/1400). Calculate the highest common factor of m and 84.
42
Let d be (2 - 3)*(2 - 15). Suppose 3*j = -0*c + c + 13, 5*j - 35 = 5*c. Suppose -j*a - q = -37, -q - 3*q = 8. What is the highest common divisor of d and a?
13
Suppose -5*i = 3*x - 82, -2*i - 4*x + 30 = -i. What is the greatest common divisor of i and 21?
7
Suppose -97 = 8*w - 577. What is the highest common divisor of 24 and w?
12
Let s = -7 + -63. Let q = s + 98. What is the highest common divisor of 7 and q?
7
Suppose b = 1, 2*o - b + 5*b - 40 = 0. What is the greatest common divisor of o and 126?
18
Let h(a) = a**2 - 9*a - 6. Let m be h(10). Suppose 0 = -o + 2 - 4, m*w + 3*o = 34. What is the greatest common divisor of w and 80?
10
Let f(m) be the first derivative of -45*m**2/2 + 1. Let a be f(-1). Let c = 10 - -5. What is the greatest common factor of c and a?
15
Let p(a) = -17*a - 3 - 4*a - 2 + 2*a. Let r be p(-2). Calculate the greatest common divisor of r and 33.
33
Suppose -4*c = -2*d - 16, -4*d + 30 = 3*c - d. Let m be 23 + -2*c/4. Calculate the greatest common divisor of 30 and m.
10
Suppose 4*c - 36 + 8 = 0. Let x be 21*((-28)/12)/(-7). What is the highest common factor of c and x?
7
Let u(i) = 10*i + 15. Let d be u(16). What is the greatest common factor of 25 and d?
25
Suppose 5*y + 25 = 10*y. Suppose 4*t - y*v - 33 = -2*v, -8 = -t + v. Calculate the greatest common factor of 6 and t.
3
Suppose 6*h - 3*h + 13 = -q, -2*h = 0. Let z = q + 47. What is the greatest common divisor of 17 and z?
17
Suppose s + 4 = p - 3*p, -2*p = 2*s. Suppose 0*h = q + 3*h - 10, -5*q + h + 50 = 0. Calculate the highest common factor of s and q.
2
Suppose 0*k + k = 5. Suppose -a = -6*a + k. What is the highest common divisor of 8 and a?
1
Let j(u) = -7*u - 1. Let z be j(1). Let r = 17 + z. Calculate the highest common factor of 6 and r.
3
Let r = 5 - 1. What is the greatest common factor of r and 32?
4
Suppose -58 = -5*z + 3*a + a, 5 = z - 3*a. Let u be (-6)/(-21) - (-94)/z. Calculate the highest common divisor of u and 77.
7
Let w = 108 + -88. Calculate the highest common factor of 70 and w.
10
Let f = 119 - -43. Suppose 5*r + 5*g - 90 = 0, g - 15 = -4*r + 57. What is the highest common factor of r and f?
18
Let d be 964/10 + 8/(-20). Let f = 607 + d. Suppose 4*l - 3*o - 918 = 0, o + 4*o = -3*l + f. What is the greatest common factor of 21 and l?
21
Suppose 3*c + c + 28 = 0. Let g(m) = -3*m**2 - 3 + 2*m**2 + 2*m**2 + 6*m. Let y be g(c). Calculate the greatest common factor of y and 28.
4
Suppose 0*q = 2*q. Suppose -9 = -s + 2*m - 4, 0 = s + m - 5. Suppose 3*w - s*y = -0*w + 16, -w + 3*y + 8 = q. Calculate the highest common divisor of 16 and w.
2
Let c(z) = -z**2 - 7*z + 6. Let d(b) = -b**3 - 5*b**2 + b - 2. Let u = -9 - -4. Let m be d(u). Let p be c(m). What is the highest common factor of p and 12?
6
Let o(n) = n + 13. Let d be o(-5). Let z be -3 + -1 + 3 + 65. Calculate the greatest common divisor of d and z.
8
Suppose -2*h - 6 = -5*h. Suppose -h*v + 16 = -14. Let g be 4/(-5)*v/(-6). What is the highest common factor of g and 22?
2
Suppose 21*g = 22*g + 242. Let d be 3/(-6)*g + 0. Calculate the greatest common factor of d and 11.
11
Suppose 0 = z + z. Suppose z = -3*v + 151 + 74. Calculate the greatest common factor of v and 25.
25
Let n be 1/(-10)*-22*5. Let c be 123/11 - 2/n. Let t(g) = -g**3 + 12*g**2 - 9*g + 6. Let b be t(c). What is the highest common factor of b and 42?
14
Let o(j) = 13*j**2 - 3*j - 2. Let m be o(-2). Let f = 10 - 2. Calculate the greatest common factor of f and m.
8
Suppose 41 = 3*j - 1. Let a = j + -8. Suppose 0 = -5*g + 3*g + 4. Calculate the greatest common factor of a and g.
2
Suppose -5*m - 23 = -l - 3*l, -3*m = l - 27. What is the greatest common factor of l and 18?
6
Let h = -49 - -59. What is the highest common divisor of h and 90?
10
Suppose 0 = 2*o + 10 - 34. What is the highest common divisor of o and 6?
6
Suppose 67*y - 73*y + 90 = 0. Suppose -6*r + 4*r + 120 = 0. What is the highest common factor of r and y?
15
Suppose j + 924 = 8*j. Calculate the greatest common divisor of 12 and j.
12
Suppose 0 = w - 0*w - 11. Let o = -68 - -112. What is the greatest common factor of o and w?
11
Let t = 196 + -127. Calculate the greatest common divisor of t and 23.
23
Let a(k) = k**2 - 9*k + 1. Let w be a(9). What is the highest common divisor of 4 and w?
1
Suppose 0 = -2*p - 10, -120 = 4*o - 3*p + 21. Let g = -21 - o. What is the greatest common factor of g and 72?
18
Suppose x - 5*x = -48. Suppose -x = -2*y - 2. Let g = 14 - -21. What is the highest common divisor of g and y?
5
Let p = 181 - 111. Suppose 1 = 2*t - 1. Let i be t*(2 + -3)*-28. Calculate the greatest common divisor of i and p.
14
Let d be -1 - 3*(-32)/6. Suppose 0 = k + 5, 0 = -4*s - s - 2*k + 1505. Let n = s - 168. Calculate the greatest common factor of n and d.
15
Let c be (-21)/(-84) + ((-63)/(-4) - 1). What is the highest common factor of c and 45?
15
Let k be (1/(-3))/((-15)/90). Suppose 5*g + 5*c = 5, 4*g - 4*c = 2 + k. Let b be -1 - (-6 + (-1 - -1)). Calculate the highest common factor of g and b.
1
Suppose -5*m = -5*z + 740, -2*m = -3*z + 3*m + 436. Calculate the highest common divisor of z and 19.
19
Suppose 2*s + 26 = 3*p + 2, 3*p + 2*s = 24. Let b(l) = l**2 - 2*l - 15. Let d be b(-7). What is the greatest common divisor of p and d?
|
{
"pile_set_name": "DM Mathematics"
}
|
-12*g - 2*g - 0*g. Solve -14 = 2*d + n, -4*d + g*d - 40 = 5*n for d.
-5
Let m(r) = 6*r - 8. Let s(b) = -5*b + 7. Let y(w) = 4*m(w) + 5*s(w). Let d be y(-2). Solve -a - 14 = -0*l - d*l, -3*l = 3*a - 12 for l.
3
Let v(y) = -9*y**2 - 73*y - 2. Let k be v(-8). Solve -3*p + k*a - a + 8 = 0, 5*a + 5 = 0 for p.
1
Let j(q) = q**3 + 6*q**2 - 10*q - 16. Let c be j(-7). Solve 2*o = c*m + 3 + 3, 4*o = -5*m + 12 for o.
3
Let d be 3 - (7 + 48/(-8)). Solve -u - 3 = d*m, -5*u = 2 - 27 for m.
-4
Let x be 4/(-14) + 23/7. Let a be 2*(3/(-2) - (-4 - -2)). Let f be (-14)/(-5) + a/((-20)/16). Solve 5*r - f*m = 6*r + 13, x*m = 4*r + 8 for r.
-5
Let r(f) = f**2 + 7*f + 4. Suppose 3*l + 6 = -3*t, 0*l - 3*l + 5*t = 46. Let z be r(l). Suppose 3*u - 8 = u. Solve -4*g = -5*n + 7, u*g = -z*n + n - 15 for g.
-3
Suppose -6*t = -4*t + 124. Let o = t - -64. Solve -o*f - 9 = -0*v + 3*v, 4*v + 4*f + 8 = 0 for v.
-5
Let j(s) = 4*s**2 - 5*s - 5. Let c(l) = -3*l**2 + 6*l + 5. Let q(d) = 5*c(d) + 4*j(d). Let h be q(-10). Solve 0 = 5*r - h*k + 5, -5*k - 10 = r - 3*k for r.
-4
Let k(g) = -g**2 - 5*g + 3. Suppose 5*l = 5*v + 85, -3*v + 4*l + 37 = -4*v. Let f = -25 - v. Let i be k(f). Solve -4*q + 29 = -3*w, -i*q + 16 = 3*w - 2*q for w.
-3
Let r be -2*3/18*-3. Let p = r - -3. Let w(f) = f**2 - 5*f + 2. Let y be w(0). Solve i + 4 = -o, 4 = p*o - y*i - 4 for o.
0
Let j = -735 + 737. Solve 6*z = 4*z, 0 = j*a + 3*z for a.
0
Let j(p) = -p**3 + 2*p**2 - p + 3. Let l be j(2). Let x(w) = w**3 - w**2 + w - 1. Let b be x(l). Solve b = 5*i - 0*c - 4*c, 0 = 3*i - 4*c for i.
0
Let t be 2 - (-32)/24*(-3)/(-2). Solve n = 4*k - 4*n + 11, t*n - 14 = -2*k for k.
1
Let u = -16 - -16. Suppose 3*q - 4 = -w + 6, u = -2*q + 5*w + 35. Solve -3*n + 21 = 5*k, n = 4*k + q - 15 for n.
2
Suppose -2*y = -0*y + y. Solve -14 = -b + 5*d, 4*b + d - 3*d - 20 = y for b.
4
Let j = 1935 - 1920. Solve -3*p + j = -2*k, p - 6*p + 25 = -4*k for p.
5
Let s = 143 + -133. Solve -s = 4*o + 2*b, 5 = 5*b - 4*b for o.
-5
Let c(d) = -d**2 + 6*d + 15. Let z be c(8). Let k be (26/13)/(z/(-2)). Solve 4*i + 4*n - 4 = 0, k*n = -5*i + 4*i + 4 for i.
0
Suppose 4*d + 8 = 3*p - 12, 3*d = p - 10. Solve -p*c + 4*n = -40, 20 = -5*n + n for c.
5
Suppose 9*d - 254 + 236 = 0. Solve q - 2*q = -d*j - 11, 4*j - 3*q + 27 = 0 for j.
-3
Let g(j) = 8 - 4*j + 2*j - j + 2*j. Let k be g(13). Let s be (-16)/40 + (-27)/k. Solve -s*a - 20 = -2*v, -3*v + 7*v = 4*a + 16 for v.
0
Let o = 23 - 6. Suppose -4*x = -o + 1. Suppose -4 = -x*d + 5*z, 0 = 2*d - 4*z + 1 - 3. Solve -3*q + 9 + 2 = -2*c, 4*c + d = -q for c.
-1
Let w = -69 - -72. Let h = -5 + 5. Solve h = -w*y - 3*r - 2*r + 1, 2*y - 3*r - 7 = 0 for y.
2
Let a be -10*(-7)/((-70)/(-3)). Solve -a = 2*s + w - 0*w, -3*s - 4*w + 8 = 0 for s.
-4
Let g(k) = -2*k + 5. Let p(t) = -t**3 - 7*t**2 - 8*t - 1. Let z be p(-6). Let y be g(z). Let s = y + 17. Solve w - c = s, -4*w + 2*w - 8 = 2*c for w.
-2
Let k be (-1)/(-2)*56/7. Suppose k*t = r - 0*t - 18, -5*r + t = -52. Solve -4*c - r = -5*c - 3*o, -3*o + 5 = -4*c for c.
1
Suppose 0 = 5*y - 6 - 4. Suppose -k + 7 = -m + 2*k, -y*k + 10 = 2*m. Solve 0 = -4*v + m*f - 0*f - 10, -5*v - 17 = -4*f for v.
-1
Suppose -4*h + 31 = h - 2*u, 5*h - 19 = -2*u. Suppose -h*o - a = -o - 10, -5*a + 12 = o. Solve 14 = 4*j + o*n - n, -4*n = -5*j + 28 for j.
4
Let w = -1041 - -1042. Solve 12 = -5*q - 3*f, 2*q + f + 6 = w for q.
-3
Let l(h) = -h - 2. Suppose -15 - 9 = 5*p - 4*n, -4*n = 5*p + 16. Let r be l(p). Suppose 4 = -r*s + 3*s. Solve -8 = -2*v, -s*z + z - 5*v + 26 = 0 for z.
2
Let b be -2 + 4 - (0 - -2). Suppose b = -8*q + 12*q - 20. Suppose -9*u + 14 = 3*v - 4*u, 2 = -v + q*u. Solve v*w - 3*m = -3, -m - 6 = 2*w - 2*m for w.
-5
Let g = 87 + -189. Let y = g - -119. Solve h + 5*o - y = 5, -2*h = 2*o - 4 for h.
-3
Let d(i) = 2*i - 13. Let u be d(5). Let c be 0*3/(-6) + (u - -8). Solve 0 = 2*a - 6, 3*o - c*a + 2 = -19 for o.
-2
Suppose -4*c + 14 = -2*t, 5*c + 7*t = 4*t + 34. Solve -h + 30 = -c*p + 3*h, -3*p + 3*h = 21 for p.
-2
Let g = 11 + -5. Suppose g*o = -a + o - 17, -5*o = 5*a - 15. Solve -3*p + 4 = -3*n - p, 4*p - a = 2*n for n.
0
Suppose 0*a - 5*a = 0. Suppose a = -3*m - 54 + 9. Let h = m + 22. Solve 0 = -s - 4*p - h, 2*s + 4*p = -2 - 8 for s.
-3
Let x(f) = f**3 + f**2 - 4*f - 1. Let v = 2 + 0. Let c be x(v). Solve 4*o = 2*d - 22, -2*o - c*o + 5 = 4*d for o.
-3
Let u be 2*(-1 - 3)/(-4). Suppose -4*j - 4*s - 10 = -6*s, u*j + 2 = 2*s. Let y = 9 + j. Solve -c - x = -5, -4*x = -4*c + 3*c + y for c.
5
Let b = 405 - 398. Solve 5*g - 15 = 5*a, -2*a - b = -3*g - 2 for a.
-4
Let m be (-2)/3 + 24/36. Suppose -r + 15 = 2*v - 19, -5*v + r + 85 = m. Solve v - 3 = -c - 4*k, -17 = c + 5*k for c.
-2
Suppose -5*i - 2*p = -20, -3*i - 83 = -4*p - 69. Solve i*s + 0*s - q = 6, -3*s = -4*q - 14 for s.
2
Let s = 61 + -124. Let c = s + 88. Solve 6*w - w = -d + c, -5*d - 25 = -5*w for w.
5
Suppose 30 = -37*g + 52*g. Solve 2 = -j - 23*n + 24*n, -6 = -g*n for j.
1
Let g be 64/28 - (-14)/(-49). Solve -z + 3*h = 3*z + 15, g*z + 5*h = -1 for z.
-3
Suppose -5*a + 13*a + 104 = 0. Let m = -8 - a. Solve 0 = -4*n + m*b - 10 - 0, -5*n = b - 2 for n.
0
Let o be (-605)/(-209) - 20/(-190). Solve 5*u = -o*i + 24, -25 + 10 = -5*u for i.
3
Let w = 1606 - 1603. Solve 1 = -3*m - x - 0, -w*x + 6 = 0 for m.
-1
Let a(o) = o + 4. Suppose 0 = 4*k - 4 + 12. Let p be a(k). Let u = -163 - -166. Solve -5*y = -2*q - 11, -p*y - u + 2 = q for y.
1
Let q(v) = -9*v - 133. Let w be q(-15). Solve 4*n - 5*m - 18 = 0, w*n - 13 - 1 = 5*m for n.
2
Suppose -d + 18 = 2*d. Suppose -4*j - 3 = -0*j + 3*b, 3*j + b + d = 0. Let l be j/(-2) - 3/(-2). Solve 2*v + 2*c = c + l, -2*c - 12 = -2*v for v.
3
Let s(z) = z**3 - 2*z**2 + 4. Let n be s(0). Solve n*t + 3*w = 3*t + 2, -5*t - 3*w = -10 for t.
2
Let z(m) be the second derivative of m**5/20 + m**3/3 - m**2/2 - 9*m. Let f be z(3). Solve f = 5*q + 5*t + 7, t - 4 = 0 for q.
1
Let o be 14/14*(0 + 0). Solve o = 5*s + 3*j - 10, 0 = s + j + 2*j - 2 for s.
2
Suppose -5*o + 3*g = -105 - 90, -4*o + 159 = -3*g. Suppose c + 3*c = o. Solve -2*l + 8 + 5 = 5*s, -2*l = s - c for l.
4
Suppose 0 = d + 4 - 2. Let a be (1/d)/(2/(-96)). Suppose 3*x - 112 = -53*x. Solve 2*f + 24 = -3*u - f, x*u + a = -4*f for u.
-4
Let n(v) be the first derivative of -v**2/2 + 11*v + 28. Suppose h = -2*h. Let s be n(h). Solve a + g = -2*a + 7, -5*a - s = -4*g for a.
1
Let r = -45 + 94. Let u = r + -46. Solve -u*b + 4*b = 2*l + 8, 0 = b + 3*l + 2 for b.
4
Let l = -51 - -21. Let w be 386/30 - 4/l. Let a = -5 + w. Solve q + 2*t - 4*t = -a, 12 = 4*t for q.
-2
Let a(y) = -4*y - 28. Let c be a(-7). Solve s = c, -3*s = 3*v - s for v.
0
Let h = -56 - -52. Let s be 4*1/h*(-10 - -5). Solve -4*t - 2*u - 16 = 0, -5*u - 21 = 3*t + s for t.
-2
Suppose 20*k - 18*k - 16 = 0. Solve 3*z - k + 0 = a, 0 = -4*a + 4*z for a.
4
Suppose 4*o - 2*o - l - 9 = 0, o + 5*l = -1. Solve 0 = -3*w - 6, -o*s + 5*w - w - 4 = 0 for s.
-3
Suppose 0 = 4*o - w - 3, -o + 9 = -0*o - 3*w. Let i be (-5 + o)*(-4 - -3). Solve -4*z = 5*r + 23, 3*r - i*z - 16 = 5*r for r.
-3
Let w be (2 - 1)/(2/4). Suppose -4*o - w = -2*l - 6, 0 = 4*o + 5*l - 4. Let g be o/(((-8)/(-20))/2). Solve g*u - 5 = 5*q, -4*q = q + 10 for u.
-1
Suppose -i + 4*i = 6. Suppose 9 + 3 = i*d. Suppose 0 = d*b - 5*b - 4. Solve -3*y = k - 0*y + 11, -b*k + 2*y + 26 = 0 for k.
4
Suppose 6 = 3*s, -3*t = 2*t + 3*s - 26. Solve -2*j = t*c + 12, 3*c - 6 = 5*c - 4*j for c.
-3
Let f be (-1)/(-2)*(2 + 22). Solve 0 = 5*c + 4*h + f, 4*h = -4*c + 8*h + 12 for c.
0
Let o = -2211 - -2216. Solve 6*a = 4*g + a - 8, o*g + 2*a = 10 for g.
2
Let f = 732 + -729. Solve j = -3, 4*j - 7 = 5*g + f*j for g.
-2
Suppose 0 = 3*k - n - 9, k + 24*n - 1 = 25*n. Solve 0*d - 4*s = -4*d + 12, -k*s - 6 = -d for d.
2
Let q be 1/2 - (-15)/2. Let w = 20 + -20. Let t(l) = -l**3 + l + 20. Let i be t(w). Solve 4*c - q = -2*x + 2, 4*x - i = 2*c for x.
5
Let w = 638 - 637. Suppose c = -3*c. Solve 0 = -k - 4*y - w, c*y - 2*y = -2*k + 8 for k.
3
Let x be 1/(3 + 22/(-8)). Suppose 2*g - g = x. Suppose -g = -a - 2. Solve y = 5*t - 20, a*t - 5 = -y + 3 for t.
4
Let y be (-2)/((-15 + 5)/5). Let f be 6*(3/(-9) + y). Solve -f*b - 3*j + 8 = 0, 5*j - 24 = 2*b + 2*b for b.
-1
Let u = 926 - 921. Solve 6*m - m = -5*p - 5, 4*m + u*p = -3 for m.
-2
Suppose 23*x - 155 = -40. Solve 4*t +
|
{
"pile_set_name": "DM Mathematics"
}
|
cked without replacement from fnfnfcnxcnffnnxnn. What is prob of picking 2 c?
1/136
What is prob of picking 2 k and 1 m when three letters picked without replacement from {h: 1, k: 2, o: 4, y: 6, m: 3}?
3/560
What is prob of picking 1 y, 1 g, and 1 e when three letters picked without replacement from yugueukeeuuu?
3/220
Two letters picked without replacement from bbtltbttlul. What is prob of picking 1 b and 1 l?
9/55
What is prob of picking 1 p, 1 n, and 1 r when three letters picked without replacement from {l: 1, y: 1, p: 6, r: 1, o: 4, n: 3}?
9/280
Calculate prob of picking 1 l and 3 v when four letters picked without replacement from {v: 17, l: 2}.
20/57
What is prob of picking 2 a when two letters picked without replacement from {a: 5, d: 3, f: 4}?
5/33
What is prob of picking 1 b and 1 s when two letters picked without replacement from sbbb?
1/2
Calculate prob of picking 2 d when two letters picked without replacement from {z: 2, m: 6, d: 6, p: 3, s: 1, k: 2}.
3/38
Three letters picked without replacement from {f: 2, m: 4, s: 1, q: 1, h: 1}. Give prob of picking 1 q, 1 f, and 1 s.
1/42
Calculate prob of picking 2 r and 1 v when three letters picked without replacement from osfrvfroodddsrf.
3/455
Two letters picked without replacement from {v: 2, d: 3, z: 1, o: 7, u: 5}. What is prob of picking 2 v?
1/153
What is prob of picking 1 t and 1 c when two letters picked without replacement from {c: 3, l: 1, t: 1}?
3/10
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from obbbbvobooyvatbv.
1/40
Two letters picked without replacement from aaca. Give prob of picking 2 a.
1/2
Two letters picked without replacement from {e: 4, n: 6}. Give prob of picking 1 e and 1 n.
8/15
Two letters picked without replacement from unnuddquuudjouuuo. Give prob of picking 1 n and 1 o.
1/34
Three letters picked without replacement from mdmmoom. What is prob of picking 3 m?
4/35
What is prob of picking 3 o when three letters picked without replacement from {c: 2, o: 6, k: 10}?
5/204
Four letters picked without replacement from {l: 3, e: 3, z: 4, k: 3, w: 3}. What is prob of picking 2 k, 1 l, and 1 e?
27/1820
Calculate prob of picking 1 a, 1 z, and 1 u when three letters picked without replacement from {u: 1, e: 5, h: 2, z: 5, a: 2, n: 2}.
1/68
Four letters picked without replacement from rrrrryrryrayyyrraaa. Give prob of picking 2 a and 2 r.
45/646
Calculate prob of picking 4 y when four letters picked without replacement from xppyrpyyylpp.
1/495
Four letters picked without replacement from adjdc. What is prob of picking 1 d, 1 a, 1 c, and 1 j?
2/5
What is prob of picking 1 e and 3 z when four letters picked without replacement from ezzzxzlzx?
5/63
Four letters picked without replacement from {a: 1, h: 4, e: 1, i: 1, b: 4, o: 1}. Give prob of picking 1 o, 1 i, and 2 b.
2/165
Calculate prob of picking 2 u when two letters picked without replacement from pccpcuup.
1/28
What is prob of picking 2 b and 2 f when four letters picked without replacement from {t: 6, f: 5, b: 4, k: 1}?
3/91
Two letters picked without replacement from ynhyyyvyhyvyvnyh. What is prob of picking 2 h?
1/40
Two letters picked without replacement from mmccc. Give prob of picking 2 m.
1/10
What is prob of picking 1 l and 1 h when two letters picked without replacement from xxxxaxhxalxsaxlxxx?
2/153
What is prob of picking 2 a, 1 v, and 1 j when four letters picked without replacement from yuuavyjea?
1/126
What is prob of picking 1 n and 1 h when two letters picked without replacement from nnnnnnnhhnhhnn?
40/91
Calculate prob of picking 3 h and 1 o when four letters picked without replacement from {h: 5, o: 15}.
10/323
Two letters picked without replacement from {o: 12, l: 4, w: 4}. Give prob of picking 2 l.
3/95
Three letters picked without replacement from riiffjiiiiij. Give prob of picking 1 i and 2 f.
7/220
Two letters picked without replacement from fffffffffufff. Give prob of picking 1 u and 1 f.
2/13
Two letters picked without replacement from dilch. What is prob of picking 1 h and 1 d?
1/10
What is prob of picking 3 p when three letters picked without replacement from bbpbpppp?
5/28
What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 4, j: 5, w: 1, q: 3, l: 3, h: 1}?
5/34
Four letters picked without replacement from {z: 6, a: 1, g: 8}. Give prob of picking 4 g.
2/39
Two letters picked without replacement from {k: 6, n: 4, b: 1, a: 4}. Give prob of picking 1 a and 1 n.
16/105
What is prob of picking 1 q and 1 f when two letters picked without replacement from qffqqqqfqqqq?
9/22
What is prob of picking 1 d and 1 l when two letters picked without replacement from {f: 1, d: 4, z: 8, p: 2, l: 2, j: 2}?
8/171
Two letters picked without replacement from uugguuyggurugpggr. What is prob of picking 1 u and 1 y?
3/68
Four letters picked without replacement from {s: 1, o: 1, p: 1, z: 1, b: 1}. What is prob of picking 1 p, 2 z, and 1 b?
0
What is prob of picking 2 q when two letters picked without replacement from {z: 3, q: 4, x: 7}?
6/91
Two letters picked without replacement from qktuo. What is prob of picking 1 u and 1 q?
1/10
What is prob of picking 1 x and 1 y when two letters picked without replacement from {o: 1, y: 1, x: 1, q: 2, b: 1, k: 1}?
1/21
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from lvfll.
3/10
Four letters picked without replacement from {g: 15, l: 5}. Give prob of picking 3 l and 1 g.
10/323
What is prob of picking 2 g, 1 q, and 1 n when four letters picked without replacement from {g: 2, n: 1, q: 2, l: 1, f: 2}?
1/35
Calculate prob of picking 1 u and 1 x when two letters picked without replacement from xux.
2/3
Two letters picked without replacement from {b: 1, m: 2, u: 1, g: 3}. Give prob of picking 1 u and 1 m.
2/21
Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 5, s: 4, b: 2}.
4/11
Four letters picked without replacement from {v: 1, u: 4, l: 3, q: 6, i: 1}. What is prob of picking 1 l and 3 q?
4/91
Two letters picked without replacement from {t: 5, d: 2, x: 1, z: 1}. Give prob of picking 1 z and 1 d.
1/18
Calculate prob of picking 2 p when two letters picked without replacement from {z: 3, p: 2, j: 1, u: 7, n: 4}.
1/136
What is prob of picking 3 b when three letters picked without replacement from {b: 4, g: 2}?
1/5
What is prob of picking 1 a and 2 i when three letters picked without replacement from {k: 1, a: 4, z: 8, i: 2}?
4/455
Three letters picked without replacement from {q: 9, h: 7}. Give prob of picking 2 h and 1 q.
27/80
Four letters picked without replacement from pgxexfeeegrxfp. Give prob of picking 2 f and 2 x.
3/1001
Two letters picked without replacement from {p: 5, v: 3, w: 6, t: 3, i: 1}. What is prob of picking 1 w and 1 v?
2/17
Two letters picked without replacement from {o: 1, b: 1, s: 4, n: 1, q: 2}. Give prob of picking 1 o and 1 s.
1/9
What is prob of picking 1 q, 1 j, and 1 e when three letters picked without replacement from {j: 1, w: 9, e: 1, q: 4}?
4/455
What is prob of picking 2 h and 1 k when three letters picked without replacement from {k: 3, n: 3, h: 2}?
3/56
Calculate prob of picking 2 j and 1 i when three letters picked without replacement from lijiriyliydyjdiiyiyj.
7/380
Four letters picked without replacement from bbbssbbbssbbs. Give prob of picking 1 s and 3 b.
56/143
Calculate prob of picking 1 q and 3 y when four letters picked without replacement from {d: 3, y: 3, q: 7}.
7/715
Three letters picked without replacement from {t: 3, i: 1, x: 3, m: 1, q: 2}. Give prob of picking 1 t, 1 i, and 1 q.
1/20
Two letters picked without replacement from {y: 1, j: 5, m: 1, u: 4}. What is prob of picking 1 m and 1 j?
1/11
Three letters picked without replacement from ggkkk. Give prob of picking 1 k and 2 g.
3/10
What is prob of picking 3 d when three letters picked without replacement from {l: 8, x: 1, d: 4, m: 4, y: 2, h: 1}?
1/285
Two letters picked without replacement from tpppmmuapumpp. Give prob of picking 1 u and 1 p.
2/13
Calculate prob of picking 1 m, 1 y, and 1 d when three letters picked without replacement from mydymyyyyymmmmmmmm.
35/408
What is prob of picking 4 j when four letters picked wi
|
{
"pile_set_name": "DM Mathematics"
}
|
p + 19 = 0. Is l a multiple of 20?
False
Let k(f) = 11*f**2 - 31*f + 127. Is 20 a factor of k(16)?
False
Suppose -16 = 4*r, 0 = 3*v - 6*v + 3*r + 21. Suppose -i + 15 = -v. Suppose -j - 2*j = -i. Does 2 divide j?
True
Let t(g) = -g**3 - 2*g**2 + 3*g + 2. Let o be (5/(-3))/((-3)/(-9)). Let z be -2 + (-6)/(-2) + o. Is t(z) a multiple of 11?
True
Suppose 15*c - 4766 = -731. Is 13 a factor of c?
False
Let k = -987 + 1119. Does 12 divide k?
True
Suppose -3*g = -0*g - 15. Suppose -g*l = -2*t + 25, 15 + 57 = 3*t + 4*l. Does 5 divide t?
True
Suppose -6*j - 84 = -18. Let b = j - 1. Does 7 divide (-264)/(-15) - b/30?
False
Is (25/(-9) - -3) + 151/9 a multiple of 2?
False
Does 44 divide ((-280)/(-42))/(2/66)?
True
Let y be 63/6 + (-2)/4. Is 4 a factor of (16/5)/(y/25)?
True
Suppose 5*u - 800 = -5*g, -u - 3*g - g + 166 = 0. Does 4 divide u/5 - 18/(-45)?
True
Suppose -5*q + 3883 - 523 = -3*y, 2*y - 10 = 0. Is 9 a factor of q?
True
Let s(r) = -r**3 - 6*r - 7 - 7*r**2 + 0*r**3 + 17*r**2. Let o be s(7). Suppose 4*z + 41 = 5*g - 94, 3*g = -z + o. Does 25 divide g?
False
Let d(a) = -a**2 + 12*a - 14. Let h be d(11). Let t = h + 7. Suppose t*c = -0*c + 116. Is c a multiple of 5?
False
Let y be (272/224 + 2/7)*2. Suppose -1 - 2 = -i. Suppose -i*j - 14 = -y*x + 2*j, -16 = -2*x + 2*j. Does 13 divide x?
True
Suppose -72*a = -106*a + 34068. Does 15 divide a?
False
Let r(z) = -22*z**3 + 4*z**2 + 4*z + 4. Let t(c) = -65*c**3 + 12*c**2 + 12*c + 11. Let q(m) = -8*r(m) + 3*t(m). Does 20 divide q(-1)?
True
Let u(m) = m**2 + m - 7. Let j = -26 + 36. Let t = j - 3. Is u(t) a multiple of 9?
False
Let m be 8/(48/90) - 3. Let s(a) be the first derivative of -a**4/4 + 13*a**3/3 - 7*a**2/2 + 26*a - 3. Is s(m) a multiple of 15?
False
Let c be (-3)/36*2 - 1915/30. Let w = c - -109. Is w a multiple of 15?
True
Let z(y) = 149*y**3 - 7*y**2 + 5*y - 4. Is 26 a factor of z(2)?
True
Suppose i - 4*l = -l + 249, 4*l = -4*i + 980. Suppose 2*a = -2*g - 3*a + i, g + 5*a = 118. Suppose g = 3*d + 4*j, -4*d + 166 = j + 4. Is 20 a factor of d?
True
Let g = 664 - 274. Does 26 divide g?
True
Does 4 divide 18/(-72) + (-2)/((-16)/394)?
False
Let u = -88 - -145. Is u a multiple of 5?
False
Let j be 14/(-4) - 2/(-4). Let w = 3 - j. Is 4 a factor of (-4)/w*(-33)/2?
False
Let n(s) = s**3 - 4*s**2 + 2*s + 109. Is 36 a factor of n(0)?
False
Let g = 1686 - 1279. Does 8 divide g?
False
Suppose -8 = -2*n - 0*n. Let a = -8 - n. Is 4 a factor of (-8)/a - (-20)/6?
True
Let l(r) be the third derivative of r**5/20 - r**4/12 - 13*r**3/6 + 44*r**2. Is 26 a factor of l(5)?
True
Suppose -4*n = 4*o - 4, -38 = -n - 2*n + 4*o. Suppose n*x = 5*x + 109. Is 14 a factor of x?
False
Suppose 5*p = 2*t - 445, -t + 228 = 8*p - 5*p. Is t a multiple of 25?
True
Suppose -1127 = -5*u - f, -21*u = -18*u + f - 675. Is 4 a factor of u?
False
Let v(f) = -f**3 - 15*f**2 + 2*f + 114. Is v(-18) a multiple of 14?
True
Does 51 divide (3/(-36))/(7/(-357))*252?
True
Suppose -44*f = 7506 - 34434. Is f a multiple of 17?
True
Suppose -5 = -y - m, -y = 2*y + 2*m - 19. Is 10 a factor of 0 + (3 + (-42)/y)*-45?
False
Let v(j) = -j + 32. Let y be v(18). Suppose 3*z + y + 43 = 0. Does 16 divide (-196)/(-2) + (-20 - z)?
False
Suppose -4*n + 13 = z + 4, -4*z = n - 21. Suppose -3*s + z*t + 30 = -94, 0 = 4*t + 20. Does 4 divide s?
False
Suppose -16870 = -64*t + 10202. Is 30 a factor of t?
False
Let y = 2386 - 2158. Is 38 a factor of y?
True
Let i be -1 + 2/((-2)/(-11)). Let p = -4 + i. Is 3 a factor of p?
True
Is 13 a factor of (-300)/(-250) + (41316/5)/4?
True
Suppose -6*h - 11 = 3*m - 4*h, -h = 2*m + 6. Does 3 divide 2/m + 86 + (-10)/5?
False
Let c = -301 + 431. Is 26 a factor of c?
True
Let w(h) = h**3 - 19*h**2 - 25*h - 49. Let c be (2 + (-78)/(-24))*4. Does 44 divide w(c)?
True
Let y(s) = s**2 - 28*s - 329. Is 12 a factor of y(-13)?
True
Let k = 77 - 81. Does 3 divide 23*(-1 - (2 + k))?
False
Let s(b) = b**2 + 4*b + 2. Let p be (-2)/6*(-1 + -20). Let o be ((-7)/(-2))/(p/(-14)). Is s(o) a multiple of 6?
False
Let i = -931 + 3345. Does 17 divide i?
True
Let w(u) be the first derivative of 6 - 4*u - 7/2*u**2. Is w(-7) a multiple of 12?
False
Let s(w) = 2*w**2 + 5*w - 13. Suppose 4 = -k + 13. Is s(k) a multiple of 13?
False
Let j = 21 - 7. Let i = -11 + j. Suppose -5*u = i*g - 34, -g + 3*u = -47 + 17. Does 9 divide g?
True
Let u = -12 + 16. Suppose -2*a + u = -0*a. Is 10 a factor of (13 - 1) + (a - 0)?
False
Let s = -106 - -104. Is 5 a factor of 2/((-122)/(-30) - (s - -6))?
True
Let m(p) be the second derivative of 7/6*p**3 + 0 - 2*p**2 + 7*p. Is m(7) a multiple of 9?
True
Let t(h) be the first derivative of 1 + 2*h**2 + 5*h + 5/3*h**3 + 1/4*h**4. Is t(-4) a multiple of 2?
False
Let y be 38571/65 + (-4)/10. Let z = y - 351. Does 12 divide z?
False
Let i(a) = 7*a**2 + 19*a - 4 - 21*a**2 + a**3 - 3*a. Let n(z) = z**3 - 15*z**2 + 17*z - 3. Let f(c) = -6*i(c) + 5*n(c). Is f(7) a multiple of 7?
False
Let v = 431 - 369. Does 7 divide v?
False
Suppose -5*t + 4*t = -132. Suppose -x + 4*x = 2*k - t, -3*x = 6. Suppose k = 3*q - 4*y, 3*q - q - 4*y = 42. Does 11 divide q?
False
Suppose 1038 + 114 = 2*m. Suppose -3*p - 11 - 1 = 0, 5*j = -p + m. Does 29 divide j?
True
Let u(w) = -55*w - 107. Is u(-33) a multiple of 61?
True
Let u(i) = -i**3 - 15*i**2 - 36*i - 12. Is u(-15) a multiple of 13?
False
Let m(y) = y**3 + 5*y**2 - 4*y + 2. Let u be m(3). Suppose -b = 1 - u. Is b a multiple of 17?
False
Let r(m) = -m**2 + 30*m + 86. Is 11 a factor of r(21)?
True
Let y = -754 + 2107. Is 11 a factor of y?
True
Let x = 13 - 5. Let p be 10*(-2 + 4/x). Is 33/5 + 9/p a multiple of 6?
True
Let l = -77 + 27. Does 15 divide (-1)/4*l*(-96)/(-10)?
True
Suppose 3*j = -2*k - 388, 0*k + 4*k = j - 790. Let f = k + 302. Does 15 divide f?
True
Let o = -15 - -23. Let p(y) = y**3 - 9*y**2 + 17*y - 17. Let v be p(7). Let z = o + v. Is z a multiple of 12?
True
Suppose 18 = 69*t - 72*t. Let h(d) be the third derivative of -d**6/120 - d**5/15 - d**4/8 + d**3 + 3*d**2. Does 24 divide h(t)?
True
Suppose 3*n - 5 = 1. Suppose -15 = u + 5*x, 2*x + 32 = -5*u + 2*u. Does 5 divide n - (u - 3) - 1?
False
Let y = 15 - 19. Let g be (-26)/y + 1/2. Let u(w) = 13*w + 3. Is u(g) a multiple of 30?
False
Let w be 12/8*28/6. Suppose -w*t + 4*t - 57 = 0. Let g = t - -42. Is g a multiple of 6?
False
Is 14 a factor of (88/(-12))/(-4 - 1113/(-279))?
False
Let d be 3/(-4 - -1) - -3. Let b be (-4)/(-10) - 219/(-15). Suppose h - b = -d*h. Is h a multiple of 4?
False
Suppose 9*r - 10*r + 2 = 0. Suppose r*m - 148 = 4*l - 620, -3*l = -m - 352. Does 34 divide l?
False
Let f = -23 - -25. Suppose 3*x + 111 = 4*o + 508, -f*x = 5*o + 525. Is o/(-15) + (-14)/(-105) a multiple of 7?
True
Let m be (2 - -13)*2/(-3). Suppose 9*d - 63 = -12*d. Let l = d - m. Is l a multiple of 13?
True
Let n = -615 - -835. Is 10 a factor of n?
True
Let c(x) = 13*x + 2. Let n(m) = m + 9. Let i(v) = -v**3 - v - 6. Let z be i(0). Let j be n(z). Is 18 a factor of c(j)?
False
Let n be (4 - 3)/(6/558). Suppose 95*d - 220 = n*d. Does 10 divide d?
True
Suppose -3*m - 3 = 4*j, -2*j = -3*j - 2*m - 7. Suppose j*u = 192 + 90. Is u a multiple of 12?
False
Let t = 4 + 5. Suppose -t*c = -6*c - 168. Let k = c + -27. Is 12 a factor of k?
False
Let b(t) = -45*t - 63. Is b(-7) a multiple of 27?
False
Suppose -4*n + r = 3*r - 12, -n - 8 = -5*r. Suppose -402 = -n*x - 102. Is 23 a factor of x?
False
Suppose 9*l = 399 + 105. Is l a multiple of 14?
True
Let f(t) = -3*t**2 + 4*t + 3. Let k be f(11). Let r = -109 - k. Suppose r = 5*d + 17. Is 9 a factor of d?
False
Suppose 2*h + 4 = 12, 2*o - h - 76 = 0. Suppose -3*z + 5*z = 5*a - 203, z + o = a. Is a a multiple of 21?
False
Let s = -625 + 1528. Let j = 11 + -7. Does 14 divide j/(-20) - s/(-15)?
False
Let n be ((-26)/(-5))/(19/190). Let m be -195*(-3 + n/20). Suppose -2*j = j + 3*k - 78, -k - m = -3*j. Is 13 a factor of j?
True
Suppose j - 1 = 1. Suppose 5*x - 69 = 2*r, 3*r = -j*x - 2*x + 69. Let y = 33 - x. Is y a multiple of 4?
False
Let v(q) = -24*q - 207 + 147 + 2*q. Does 45 divide v(-15)?
True
Let h be -9*(-5)/(-75) + 39/15. Let o(v) = v**3 + 8*v**2 + 6*v - 3. Let z be o(-6). Suppose -2*w + m = -h*m - z, 3*m - 21 = -4*w. Is w a multiple of 4?
False
Let j be (-2 + 2)/((-10)/5). Suppose -l + 26 + 24 = j. Is l a multiple of
|
{
"pile_set_name": "DM Mathematics"
}
|
2/5 + 58*h/15 + 32/5 = 0.
-1, 3, 16
Factor 3*q**2/7 + 33*q/7 + 12.
3*(q + 4)*(q + 7)/7
Factor 44*p**2 - 100*p + 24.
4*(p - 2)*(11*p - 3)
Find b, given that 3*b**5/8 - 15*b**4/4 + 27*b**3/8 + 39*b**2/2 + 12*b = 0.
-1, 0, 4, 8
Determine k so that 50*k**4 - 62*k**3 + 12*k**2 = 0.
0, 6/25, 1
Determine u so that -2*u**2/5 - 7*u/5 = 0.
-7/2, 0
Solve r**5/4 + 5*r**4/2 + 33*r**3/4 + 10*r**2 + 4*r = 0.
-4, -1, 0
Factor -x**3 - 8*x**2 + 29*x + 180.
-(x - 5)*(x + 4)*(x + 9)
Factor 5*k**2 - 355*k - 1500.
5*(k - 75)*(k + 4)
Let 5*r**4 + 305*r**3 + 5985*r**2 + 33075*r - 92610 = 0. Calculate r.
-21, 2
Factor -2*u**2/15 + 56*u/15 - 392/15.
-2*(u - 14)**2/15
Factor -2*i**4 - 20*i**3 + 2*i**2 + 20*i.
-2*i*(i - 1)*(i + 1)*(i + 10)
Solve -65*g**5 - 296*g**4 - 473*g**3 - 326*g**2 - 92*g - 8 = 0 for g.
-2, -1, -2/5, -2/13
Find c such that 2*c**2 + 345*c/2 + 43 = 0.
-86, -1/4
What is g in 4*g**3 + 268*g**2 + 3264*g = 0?
-51, -16, 0
Find c, given that c**3 + 2331*c**2 - c - 2331 = 0.
-2331, -1, 1
Suppose -4*t**4/9 - 44*t**3/9 - 40*t**2/9 = 0. Calculate t.
-10, -1, 0
Factor 4*f**4 - 976*f**3 - 2956*f**2 - 1976*f.
4*f*(f - 247)*(f + 1)*(f + 2)
Let -6*d**5 - 111*d**4 + 579*d**3 - 939*d**2 + 615*d - 138 = 0. Calculate d.
-23, 1/2, 1, 2
Factor -4*q**4 - 12*q**3 + 16*q.
-4*q*(q - 1)*(q + 2)**2
Let -u**5/5 + u**4/5 + 16*u**3/5 + 4*u**2 = 0. What is u?
-2, 0, 5
Factor 2*g**2 - 1076*g + 2144.
2*(g - 536)*(g - 2)
Determine u so that -5*u**2 + 1580*u - 124820 = 0.
158
Factor -4*d**3 + 388*d**2 - 384*d.
-4*d*(d - 96)*(d - 1)
Factor 3*i**2 + 28572*i + 68029932.
3*(i + 4762)**2
Factor q**3 + q**2.
q**2*(q + 1)
Factor 5*d**2 + 105*d + 190.
5*(d + 2)*(d + 19)
Factor -3*k**2/2 + 2082*k.
-3*k*(k - 1388)/2
Determine b, given that -4*b**3 - 33*b**2 - 8*b = 0.
-8, -1/4, 0
Find r such that r**3/3 - r**2/3 = 0.
0, 1
Suppose -2*o**2 + 3844*o = 0. What is o?
0, 1922
Let 3*s**5/5 - 66*s**4/5 - 108*s**3 + 13608*s**2/5 = 0. Calculate s.
-14, 0, 18
Factor h**2 - 343*h - 690.
(h - 345)*(h + 2)
Solve 2*q**3/5 - 3612*q**2/5 + 2174424*q/5 - 436334416/5 = 0.
602
Solve 2*m**2 + 748*m + 3690 = 0.
-369, -5
What is f in -2*f**3/7 + 18*f**2/7 + 20*f/7 = 0?
-1, 0, 10
Suppose 3*y**3 - 99*y**2 + 186*y = 0. What is y?
0, 2, 31
Factor 2*q**3 + 122*q**2 - 2*q - 122.
2*(q - 1)*(q + 1)*(q + 61)
Suppose h**4/4 - 5*h**3/2 + 29*h**2/4 - 2*h - 12 = 0. What is h?
-1, 3, 4
Find q, given that -3*q**4 + 1374*q**3 - 4095*q**2 = 0.
0, 3, 455
Factor 4*w**3 + 102*w**2 + 624*w - 338.
2*(w + 13)**2*(2*w - 1)
Factor 2*f**3 + 288*f**2 + 11658*f + 144652.
2*(f + 29)**2*(f + 86)
Factor -2*g**3 + 158*g**2 - 608*g + 600.
-2*(g - 75)*(g - 2)**2
Let -2*a**4/7 - 11664*a**3/7 - 17006112*a**2/7 = 0. Calculate a.
-2916, 0
Factor -5*v**4 - 20*v**3 - 15*v**2.
-5*v**2*(v + 1)*(v + 3)
Factor 8*a**3/15 - 22*a**2/15 - 2*a/5.
2*a*(a - 3)*(4*a + 1)/15
Let 2*m**2 - 3968*m/5 - 794/5 = 0. Calculate m.
-1/5, 397
Let -13*s**2/4 - 9*s + 9/4 = 0. Calculate s.
-3, 3/13
Let 5*w**4 + 150*w**3 + 1065*w**2 + 2600*w + 1680 = 0. What is w?
-21, -4, -1
Factor -2*t**3/19 - 12*t**2/19 + 2*t + 48/19.
-2*(t - 3)*(t + 1)*(t + 8)/19
Factor 338*n**2/3 - 728*n/3 + 392/3.
2*(13*n - 14)**2/3
Find y such that -5*y**2 - 735*y - 730 = 0.
-146, -1
Let -12*t**2/5 + 2056*t/5 - 684/5 = 0. What is t?
1/3, 171
Factor 4*o**3/5 + 132*o**2 + 7260*o + 133100.
4*(o + 55)**3/5
Factor 4*t**2/3 - 11624*t/3 + 8444836/3.
4*(t - 1453)**2/3
Factor 3*a**4 + 63*a**3 + 270*a**2 - 96*a - 1440.
3*(a - 2)*(a + 4)**2*(a + 15)
What is j in -j**2/6 + 22*j/3 + 15/2 = 0?
-1, 45
Factor 3*l**4 + 9*l**3 - 45*l**2 + 51*l - 18.
3*(l - 1)**3*(l + 6)
Factor -2*a**3/5 + 8*a**2/5 + 2*a/5 - 8/5.
-2*(a - 4)*(a - 1)*(a + 1)/5
Suppose 3*l**4/2 - 93*l**3 + 2052*l**2 - 19440*l + 67392 = 0. Calculate l.
12, 26
Solve 4*n**2 + 384*n + 380 = 0 for n.
-95, -1
Factor 5*c**5 - 280*c**4 + 5400*c**3 - 38880*c**2 + 58320*c.
5*c*(c - 18)**3*(c - 2)
Factor 3*c**2/5 + 11*c - 38/5.
(c + 19)*(3*c - 2)/5
Solve 2*t**2/3 - 14*t/3 - 40 = 0 for t.
-5, 12
Let -4*s**5/5 - 24*s**4/5 - 12*s**3/5 + 8*s**2 = 0. Calculate s.
-5, -2, 0, 1
Determine w, given that 6*w**4/11 + 2*w**3/11 - 78*w**2/11 - 98*w/11 - 24/11 = 0.
-3, -1, -1/3, 4
Let c**3 - 7*c**2 - 60*c = 0. What is c?
-5, 0, 12
Find k, given that k**5/6 + 23*k**4/6 + 179*k**3/6 + 553*k**2/6 + 120*k + 54 = 0.
-9, -2, -1
Factor -t**2 - 6438*t - 10361961.
-(t + 3219)**2
Suppose -o**5 + 5*o**4 - 2*o**3 - 14*o**2 + 3*o + 9 = 0. Calculate o.
-1, 1, 3
Factor -2*y**3 - 2*y**2 + 372*y - 720.
-2*(y - 12)*(y - 2)*(y + 15)
Factor -3*i**5 - 6*i**4 + 12*i**3 + 24*i**2.
-3*i**2*(i - 2)*(i + 2)**2
Find n, given that -7*n**5/4 - 5*n**4/4 + 18*n**3 - 19*n**2 + 4*n = 0.
-4, 0, 2/7, 1, 2
Solve 9*g**4 - 183*g**3 + 924*g**2 - 288*g = 0 for g.
0, 1/3, 8, 12
Factor u**2/8 - 7*u/8 + 3/4.
(u - 6)*(u - 1)/8
Solve 2*w**3/7 - 8*w**2/7 - 104*w/7 - 160/7 = 0.
-4, -2, 10
Determine s so that 2*s**2/13 - 180*s/13 - 14 = 0.
-1, 91
Factor -r**2/4 + r/4 + 1/2.
-(r - 2)*(r + 1)/4
Find q, given that 2*q**2 - 1362*q + 2716 = 0.
2, 679
What is d in -d**3 - 3*d**2 + 4 = 0?
-2, 1
Determine q so that 16*q**4 - 844*q**3 + 2124*q**2 + 3784*q + 800 = 0.
-1, -1/4, 4, 50
Factor -x**3 + 71*x**2.
-x**2*(x - 71)
Factor -4*k**4 + 4*k**3 + 8*k**2.
-4*k**2*(k - 2)*(k + 1)
Factor -75*l**3 - 144*l**2 + 237*l - 18.
-3*(l - 1)*(l + 3)*(25*l - 2)
Suppose v**4/5 - v**3 + v**2 + v - 6/5 = 0. Calculate v.
-1, 1, 2, 3
Determine v so that -v**4 - 19*v**3/7 + 6*v**2/7 = 0.
-3, 0, 2/7
Factor 5*p**3 + 335*p**2 - 5*p - 335.
5*(p - 1)*(p + 1)*(p + 67)
What is d in 15*d**3 + 243*d**2 + 273*d + 45 = 0?
-15, -1, -1/5
Suppose v**4/10 - 11*v**3/5 - 78*v**2/5 - 164*v/5 - 112/5 = 0. What is v?
-2, 28
What is x in -3*x**4/5 + 33*x**3/5 - 81*x**2/5 - 33*x/5 + 84/5 = 0?
-1, 1, 4, 7
Determine j so that 5*j**4 - 3095*j**3 - 6205*j**2 - 3105*j = 0.
-1, 0, 621
Factor p**3 + 92*p**2 + 2116*p.
p*(p + 46)**2
Factor 4*j**5 + 80*j**4 - 176*j**3 + 8*j**2 + 172*j - 88.
4*(j - 1)**3*(j + 1)*(j + 22)
Let 22*a**5/9 + 38*a**4/3 - 112*a**3/9 - 8*a**2/3 = 0. Calculate a.
-6, -2/11, 0, 1
Find s such that -4*s**3/5 - 376*s**2/5 + 572*s + 3232/5 = 0.
-101, -1, 8
Find d such that -2*d**3/15 - 22*d**2/5 - 128*d/5 - 104/3 = 0.
-26, -5, -2
Let -2*k**4 - 96*k**3 + 2*k**2 + 96*k = 0. Calculate k.
-48, -1, 0, 1
Factor 2*m**2/3 + 22*m/3 + 20/3.
2*(m + 1)*(m + 10)/3
Solve 2*y**4/5 + 4*y**3 + 64*y**2/5 + 64*y/5 = 0.
-4, -2, 0
Let 21*c**4 + 27*c**3 - 15*c**2 - 27*c - 6 = 0. Calculate c.
-1, -2/7, 1
Solve y**2 + 1078*y + 290521 = 0.
-539
Factor 60*k**2 + 14*k - 4.
2*(5*k + 2)*(6*k - 1)
Find n such that n**3/3 - 113*n**2/3 - 4*n/3 + 452/3 = 0.
-2, 2, 113
What is k in 2*k**2/7 + 4232*k/7 + 2238728/7 = 0?
-1058
Let 2*t**5/9 - 44*t**4/9 + 70*t**3/3 - 32*t**2 = 0. Calculate t.
0, 3, 16
Suppose -a**4/5 - 6*a**3/5 - 3*a**2/5 + 26*a/5 + 24/5 = 0. What is a?
-4, -3, -1, 2
Determine l, given that 2*l**2/17 + 2*l - 120/17 = 0.
-20, 3
Find l, given that -3*l**4 - 27*l**3 - 60*l**2 - 36*l = 0.
-6, -2, -1, 0
Let -3*o**4 + 105*o**3 - 297*o**2 + 291*o - 96 = 0. Calculate o.
1, 32
Factor -v**2/4 - 12*v - 47/4.
-(v + 1)*(v + 47)/4
Determine g so that 5*g**5 + 20*g**4 - 130*g**3 + 220*g**2 - 155*g + 40 = 0.
-8, 1
Factor -j**3 + 21*j**2 + 136*j - 156.
-(j - 26)*(j - 1)*(j + 6)
Factor 4*r**5 - 20*r**4 - 124*r**3 - 172*r**2 - 72*r.
4*r*(r - 9)*(r + 1)**2*(r + 2)
Factor 5*b**3 - 735*b**2 + 2170*b - 1440.
5*(b - 144)*(b - 2)*(b - 1)
Factor -20*z**2 + 1208*z + 2496.
-4*(z + 2)*(5*z - 312)
Suppose -j**3/2 - 167*j**2/8 - 61*j/4 + 41/8 = 0. What is j?
-41, -1, 1/4
Suppose -b**5 - 164*b**4 + 499*b**3 - 334*b**2 = 0. What is b?
-167, 0, 1, 2
Factor 2*f**3/7 - 78*f**2/7 - 48*f - 344/7.
2*(f - 43)*(f + 2)**2/7
Solve -3*h**4 + 93*h**3 - 90*h**2 = 0 for h.
0, 1, 30
Factor -4*r**3/9 - 4*r**2/3 + 4*r/9 + 4/3.
-4*(r - 1)*(r + 1)*(r + 3)/9
Factor 2*w**3/3 - 4*w**2 + 10*w/3.
2*w*(w - 5)*(w - 1)/3
Factor 5*g**3 + 130*g**2 + 460*g + 440.
5*(g + 2)**2*(g + 22)
Let 2*p**2 + 154*p - 156 = 0. What is p?
-78, 1
Find c such that -2*c**3 + 158*c**2 + 324*c = 0.
-2, 0, 81
Suppose -3*x**4/5 - 378*x**3 - 293871*x**2/5 + 239652*x - 1205868/5 = 0. What is x?
-317, 2
Factor -3*p**3 + 18*p**2 - 33*p + 18.
-3*(p - 3)*(p - 2)*(p - 1)
Factor 3*p**4/5 + 186*p**3/5 + 4323*p**2/5 + 8928*p + 34560.
3*(p + 15)**2*(p + 16)**2/5
Determine x so that -5*x**2
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{
"pile_set_name": "DM Mathematics"
}
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*(16757/60)
Simplify (x**(2/47)/x*x/x**1)**(-3/41)/(x**7/(x**(1/4)*x))**(3/29) assuming x is positive.
x**(-117303/223532)
Simplify (c*c**(-10)*c*c*(c*(c/(c/(c*c**20*c)))/c*c)/c)/((c/((c/(c*c/(c/c**(5/11))*c*c))/c))/c*c*c/c**5) assuming c is positive.
c**(160/11)
Simplify (((h*h**(6/5)*h)/h**(-12))/((h*h**(-1/6)/h)/((h*h**(-1/10))/h*h)))**(-21) assuming h is positive.
h**(-1708/5)
Simplify (n**(3/4)*n/n**(-1))**8/((((n/n**2)/n)/(n*n**(-3/4)))/((n/n**(-1))/n*n**(2/13))) assuming n is positive.
n**(1321/52)
Simplify ((z**(-1/4)*z)**(-48)*z/z**(-3/11)*z**(-2/11))/(((z*z/z**2)/z)**11/(z**(2/5)*z**(-2/15)*z*z*z)) assuming z is positive.
z**(-3406/165)
Simplify (((f/f**(-7)*f)/f)**(-17)/(f**(-2/17))**(-4/3))**(-10/13) assuming f is positive.
f**(69440/663)
Simplify ((j/j**(-1/16))/j)**(27/5)*j**(-49)*j*j**(12/7)/j assuming j is positive.
j**(-26291/560)
Simplify (((b**(-1/9)*b**(3/5)/b)/(b**(-6)/((b**3/b*b)/b)))**36)**6 assuming b is positive.
b**(8088/5)
Simplify ((z**(-2/7))**(2/61)*(z**(-2/3))**7)/((z**(-7)/(((z**(-2/7)/z)/z)/z))/(z/z**(2/9)*z)**(-1/28)) assuming z is positive.
z**(-3940/3843)
Simplify (b**0/(b*b**5/b*b))/(b**(-1/3))**(-5/13)*(b**(4/5)/b**(-2/3))/((b*(b*b**(-2/7))/b*b)/b**6) assuming b is positive.
b**(-171/455)
Simplify ((t**3)**(-7/6)/(t/t**(5/3)*t)**(-14/3))**(11/4) assuming t is positive.
t**(-385/72)
Simplify (r**(3/7)*r*r*r**2)/(r/(r**(2/7)/r))**(-1/15)*(r**(-1))**(16/5)*(r*r/r**(1/2)*r)/r**0 assuming r is positive.
r**(269/70)
Simplify ((x*x**(2/7)*x*x/(x*x**(-1/10)*x))/(x/((x/x**(-2/7)*x)/x)*(x*x/(x/x**4)*x)/x))/((x*x*((x**(-8/5)/x)/x)/x)/(x*x**(-4)))**30 assuming x is positive.
x**(-1073/70)
Simplify ((((j/j**(2/13)*j)/j*j)/((j*(j/j**(-2/19))/j)/j))/(j**5/j)**(15/2))**(2/53) assuming j is positive.
j**(-13960/13091)
Simplify (((w*(((w**(3/5)/w)/w*w)/w)/w*w**(1/3))/(w*w**(1/2))**37)**(-2/3))**(-2/73) assuming w is positive.
w**(-3394/3285)
Simplify ((k/(k*k**(-1/11)))/(k/k**(2/49)))/(k**12)**(-3/23) assuming k is positive.
k**(8640/12397)
Simplify (p**16*p*p)**(3/7)/((p/(p/(p**(-8/7)/p)))/p**(-2)) assuming p is positive.
p**(55/7)
Simplify (y**(1/4)*y*y**8*(y**(-9))**5)**(-5/6) assuming y is positive.
y**(715/24)
Simplify ((f**(-2/3))**(1/24)*(f**(-3)/f)/(f/f**19))**(-41) assuming f is positive.
f**(-20623/36)
Simplify ((t/(((t**24/t)/t)/t)*t*t**(-15))**(-1/39))**(-2/37) assuming t is positive.
t**(-68/1443)
Simplify ((o**1/(o**(-2)*o))/(o**(-1/5)/(o/o**(2/9)*o)))/((o/o**(1/7)*((o*o**5*o*o)/o)/o)/(o**(-2/5)/o)**(-2/149)) assuming o is positive.
o**(-134261/46935)
Simplify l/l**5*l*l**8*l**(2/29)*l**0/l*(l/(l**12/l)*l/l**(10/3))**(7/6) assuming l is positive.
l**(-5387/522)
Simplify (l/(((l*l**(-5/2))/l)/l))/l**(-40)*(l/(l**6/l))**(7/2) assuming l is positive.
l**(61/2)
Simplify (q**(-1/5)*q**7/q*q)**30/((q**(-1))**8/(q/q**0)**25) assuming q is positive.
q**237
Simplify (((y/((y**(-3)/y)/y))**16/(y*y**2*y*(y*(y/y**12)/y*y*y)/y))**(1/4))**49 assuming y is positive.
y**(2499/2)
Simplify j/j**(-39)*j**12*j*j*j*j**(5/13)*j/(j*j/j**(11/6)) assuming j is positive.
j**(4385/78)
Simplify (x**(-4)*x**(-2/5))/(x**(-2/5)*x)**30*((x/(x*x**6/x*x*x*x))/(x/x**(-1)))/(x**6*x/x**(-2/13)) assuming x is positive.
x**(-2571/65)
Simplify (c*c**(1/6))/c**7*c/(c**(-1/4)*c)*c**(2/11)*(c/c**7*c/(c/(c/c**6)))/(c/c**1)**(3/32) assuming c is positive.
c**(-2165/132)
Simplify (k/(k*k**(1/19))*(k*k**8*k)/k*k*((k/k**(-1/4)*k)/k)/k*(((k**(-6)/k)/k)/k)/k)**39 assuming k is positive.
k**(585/76)
Simplify ((z/(z**(1/11)*z)*z**(1/40)*z)/((z*z**(-3/8))/z)**28)**(7/9) assuming z is positive.
z**(3913/440)
Simplify (((w*w/w**(1/2)*w)/(((w**(1/2)*w)/w)/w))/((w**(4/5)/w)/(w**(2/9)*w)))/(w**(3/4)/(w/(w/(w/w**(-4))))*(w**1*w)/(w**(-1/7)*w)) assuming w is positive.
w**(9487/1260)
Simplify z/z**(1/41)*z/(z/z**(-2/9))*z**(15/7)*z*z*z**(-39) assuming z is positive.
z**(-88090/2583)
Simplify ((a/((a**(-1)/a)/a))**(2/3))**(2/13)/(((a/((a/(a*a**1))/a))/a*a)**(4/9))**28 assuming a is positive.
a**(-480/13)
Simplify (b**(-1)*b**(-1)*(b**(-1))**(-19))/((b*(b/(b/(b/((b*b**(1/4)*b)/b))))/b)/b**(-1))**29 assuming b is positive.
b**(-19/4)
Simplify (((i/(i/i**1))/i)**2*((i/(i/(i/i**1*i)))/i*i*i)**(-17))/((((i*(i*i/i**2)/i)/i)/(i/i**(1/4)))/(i**1)**(-25)) assuming i is positive.
i**(-229/4)
Simplify (((v*v**6)/v)/(((v**(1/5)*v)/v)/v))/(v/v**(-1/4)*v*v**3)*(v*v**(2/11)/v*v**5)/(v*v**(-1/6)*v*v**(2/11)*v) assuming v is positive.
v**(223/60)
Simplify ((t*(t/(t/(t*t*t**1)))/t)**(-20)/((t**(-3/4)/t)/(t/(t*t**6))))/((t*t*t**(-1))/t**(-3))**(1/33) assuming t is positive.
t**(-8497/132)
Simplify (((k/(k*k*k/(k*k**(2/21)*k)*k*k))/k)/k*k**2)/(k**0*k/(k/(k/(k/k**(1/8)))))*((k*k*k*k**(-2/7))/k**(-1/10))**9 assuming k is positive.
k**(19571/840)
Simplify ((z/z**(-4/3)*z**(3/2))/(z*(z*((z**0*z)/z)/z)/z)**(-3/29))/(z**1*z**2*z**(-2/5)*(z/(z**(-3)/z*z)*z)/z) assuming z is positive.
z**(-83/30)
Simplify (v**4/(v/(v**0/v)*v))/(v/((v*v*v**(2/11))/v)*v**(4/7))*(((v/(v*v/v**(-5)*v))/v)/v**2)/((v/v**(-1))/v)**43 assuming v is positive.
v**(-4034/77)
Simplify ((k**(3/2))**(2/9))**(-12)*(((k/(k/(k*k**(2/9))))/k*k)**(-11))**(-6) assuming k is positive.
k**(230/3)
Simplify ((g*(g*g**0)/g)**48)**(-22)*((g**(3/5))**(-26/3))**(-32/3) assuming g is positive.
g**(-15008/15)
Simplify ((v/(v/v**(-3))*(v*v**(2/11)/v)/v)/((v/v**21)/(v/(v/((v/(v*v**(-8)))/v)))))**31 assuming v is positive.
v**(7905/11)
Simplify ((y*y/y**(-1/10)*y)/(y**2*y*y))**44/(y**(-2/3)/(y/(y*y**(-5)*y*y))*(y/(y*y**(-2/7)/y))**(-29)) assuming y is positive.
y**(142/105)
Simplify (((x*x**(-26))**37)**(-26))**(2/11) assuming x is positive.
x**(48100/11)
Simplify ((v*v**(-2/3))**(-6/19)*v**7/v**4)/((v/v**5*((v/((v**(-2/9)*v*v)/v))/v)/v)/(v**(-5)*v*v**7/v)) assuming v is positive.
v**(1825/171)
Simplify (((z**2*z**(1/9))**31)**23)**(-2/15) assuming z is positive.
z**(-27094/135)
Simplify (b**(-1/2))**(8/17)*b**1*b/(b*(b*(b*b**(-1/3))/b)/b)*((((b**(2/13)*b)/b)/b)**(-4))**(-41) assuming b is positive.
b**(-91276/663)
Simplify (g/(g*(g**(-1/4)*g)/g)*g**(-1)/g*g/g**6*g**(6/11))**10 assuming g is positive.
g**(-1365/22)
Simplify ((f*f**(-29))/f)**(7/11)/(f**(-19/5)*f*f*f*f*f/f**11) assuming f is positive.
f**(-476/55)
Simplify (r/(r**(2/7)/r))**47/(r/((r*(r/((r/r**(-1))/r)*r)/r*r)/r)*r**(2/3)*r)*(r/(r*r**3*r*r))/((r/r**(1/6))/r*r)*r**(3/7)/(r**(2/7)*r) assuming r is positive.
r**(1011/14)
Simplify (y*(y/y**0)/y)**(-13/5)*((y/y**(-1/4)*y)/y)**(-1/11)*((y**(2/3))**(5/3))**1 assuming y is positive.
y**(-3173/1980)
Simplify n**(3/5)/(n/(n/(n**(-2/3)*n)))*n/n**(-2/7)*n*n**(-2)*n*(n*n*n**(3/5)*n**(6/13)/n*n)**(-23) assuming n is positive.
n**(-93998/1365)
Simplify ((u*u*u**(7/3)*u*u**(-7)*u)/(((u*u**2/u*u)/u)/u*u)**(1/5))**(2/49) assuming u is positive.
u**(-32/735)
Simplify (((z*z*(z/(z**(-2)*z))/z)/z)/z**(-4)*z**(2/11)*z/(z**2*z*z))/((z**(-5)/z*z)/z**(2/21))**(-1/7) assuming z is positive.
z**(3968/1617)
Simplify ((y**(-2/27))**(-2/3)*(y/((y**(-2/43)/y)/y))/((y/(y/((y*(y*y**(-3/19))/y)/y)))/y))**(1/16) assuming y is positive.
y**(281503/1058832)
Simplify (((x*x**(-1/8))/x**(-3)*(x*x**(-2/5))**(-3/25))**(-6/13))**32 assuming x is positive.
x**(-91272/1625)
Simplify (((x*x**(-2/7)/x)/x)**(-48)*(x*(x**1/x)/x)**28)/(x**(-4)/x**(-4)*x*x/x**(-1/7)*x/(x**(2/13)*x*x)) assuming x is positive.
x**(5526/91)
Simplify ((k/k**(2/51))/k**(-6)*k/(k/k**(-2/23)*k)*k**(-1/31))**4 assuming k is positive.
k**(849668/36363)
Simplify ((c*(c*c**(1/5)/c)/c)/(c**(-2/21)/c))**(-9/4)*((c**(-3/8)/c)**38)**(-32/7) assuming c is positive.
c**(8258/35)
Simplify ((((s*s/((s**(-2/5)/s)/s))/(s**6*s))**(-44))**(1/19))**(-8/13) assuming s is positive.
s**(-352/95)
Simplify (((b*b/(b**(-8)/b*b))/b)/((b/(b**7*b*b)*b)/b*b))**(-2)*(((b/(b**(3/2)*b))/b)/b)/(b/(b*b**(-6)/b*b))*(b*b**(-2))**(-13) assuming b is positive.
b**(-57/2)
Simplify ((r*r/(r/r**0))**8/(r/r**(-3)*r**5))/(r/r**(1/5)*r*((r/(r**(-3)/r*r)*r)/r)/r)**(-31) assuming r is positive.
r**(739/5)
Simplify (p**8*p*p/p**(-8)*p*(p**(2/7))**(3/37))/((p*p**(-2/25)/p)/(p/(p/(p/(p/(p/(p*p**(-2/15)))))))*(p**2)**(2/111)) assuming p is positive.
p**(124323/6475)
Simplify ((v*v**(-1)/v*v)**(1/6)/(v*v**(4/5)*(v**2/v)/v))/((v*(v/(v*v**5))/v*v*v*v)**(2/27))**(-45) assuming v is positive.
v**(-127/15)
Simplify ((((v/v**(-2/15))/((v/(v*v**(-8)))/v))
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{
"pile_set_name": "DM Mathematics"
}
|
37*v. Let n(c) = -3*u(c) + 5*z(c). Find the second derivative of n(r) wrt r.
1224*r
Let k be 1/(-2 + 3) + 4. Find the third derivative of -111*v**k + 12*v**2 + 84*v**5 + 52*v**5 wrt v.
1500*v**2
Suppose -4*u = k - 44, -5*u = -3*k - 62 + 24. What is the second derivative of -8*b + 34*b - 62*b - u*b**2 wrt b?
-20
Let g be (-103)/((-20)/(-12) + (-4 - -2)). What is the third derivative of -14*j**2 - 6*j**2 - 8*j**5 - g*j**3 + 309*j**3 wrt j?
-480*j**2
Find the second derivative of 17*s + 53*s - s**2 + 0*s**2 + 20*s + 18*s**3 wrt s.
108*s - 2
Let f(j) be the third derivative of 11*j**5/4 + 7*j**4/6 - 50*j**2. Find the second derivative of f(p) wrt p.
330
Suppose 4*t = -5*j + 63, -3*j + 4*t = t - 27. Differentiate -64*u**3 - 2 + 51*u**3 - j with respect to u.
-39*u**2
Let w be (-3)/6*160/(-16). Let o(p) be the second derivative of -7/20*p**w + p**3 + 0 + 0*p**2 + 0*p**4 - 9*p. What is the second derivative of o(a) wrt a?
-42*a
Suppose 0 = -3*r + 5*r + 2*u - 4, 10 = 5*r + u. Suppose r = i - 1. What is the third derivative of -f**2 + i*f**2 - 4*f**5 - 64*f**3 + 64*f**3 wrt f?
-240*f**2
Suppose 3*h - 16 = -4*q, 2*h + 1 = -q + 5. Suppose 0*k - 2*k = h. What is the third derivative of 10*f**3 - 9*f**2 + 0*f**3 + 0*f**3 + k*f**3 wrt f?
60
Suppose 4*t = x + 13, 4*t - 19 - 14 = 5*x. What is the third derivative of 13*a**2 - 6*a**t + 14*a**2 - 22*a**5 wrt a?
-1320*a**2
Find the third derivative of w**3 - 272*w**5 + 5*w**2 + 242*w - 128*w - 121*w wrt w.
-16320*w**2 + 6
What is the third derivative of -11*d**2 - 30*d**2 + 4*d**4 - 19*d**2 - 2*d**3 wrt d?
96*d - 12
Find the first derivative of 47*i**2 + 51*i**2 + 50*i**2 + 155*i**4 + 523 + 2*i**3 - 148*i**2 wrt i.
620*i**3 + 6*i**2
Let p(n) be the third derivative of n**9/168 - 29*n**7/210 - 37*n**5/20 - 8*n**2 + 4. Find the third derivative of p(d) wrt d.
360*d**3 - 696*d
What is the second derivative of 63*u**4 - 386*u**2 - 163*u**3 + 163*u**3 + 819*u - 64*u**4 wrt u?
-12*u**2 - 772
Let f(x) be the first derivative of 0*x**5 + 0*x**6 + 0*x**2 + 0*x + 12 - 23/3*x**3 + 0*x**4 - 22/7*x**7. What is the third derivative of f(q) wrt q?
-2640*q**3
Let z(w) be the first derivative of 16 + 0*w**2 - 3/5*w**5 + 0*w**3 + 0*w**4 - 4*w. What is the derivative of z(n) wrt n?
-12*n**3
Let o(i) be the third derivative of i**7/42 + i**6/12 - 13*i**5/30 - 17*i**2 + 3*i. Find the third derivative of o(z) wrt z.
120*z + 60
Find the second derivative of x**3 + 34*x**4 + 98*x - 268*x + 120*x wrt x.
408*x**2 + 6*x
Let f(s) = 856*s**2 - 9*s - 432. Let y(d) = -215*d**2 + 2*d + 108. Let k(g) = 2*f(g) + 9*y(g). What is the derivative of k(t) wrt t?
-446*t
What is the third derivative of -8*b**2 - 303*b + 10*b**2 - 97*b - 27*b**3 wrt b?
-162
Suppose 0 = 4*z, z + 4 = 2*y - 3*z. Find the second derivative of -j + 7*j**y + 13*j**2 - 21*j**2 wrt j.
-2
Let j be -4 + 14 + (5 - 2). Suppose -5*u + 7 = -j. Find the third derivative of 13*k**4 + 0*k**2 - 10*k**2 - 5*k**u wrt k.
192*k
What is the third derivative of -2*s - 110*s**2 + 78*s**2 - 19*s**3 - 41*s**3 wrt s?
-360
Let x(q) be the first derivative of -57*q**4/4 - 47*q - 52. Differentiate x(o) with respect to o.
-171*o**2
Let n(a) be the first derivative of 38*a**3 - 3 - 37*a**3 - 5 + 11*a**2. What is the second derivative of n(u) wrt u?
6
Let u(r) = 3*r**3 + 2*r**2 - 10. Let d = -28 + 21. Let f(m) = -9*m**3 - 7*m**2 + 31. Let j(w) = d*u(w) - 2*f(w). Differentiate j(b) wrt b.
-9*b**2
Let g(v) be the first derivative of -55*v**7/7 - v**5 - v**3 - 4*v**2 + 3. What is the third derivative of g(t) wrt t?
-6600*t**3 - 120*t
Let l be 1 + -1 + 3 + 1. Differentiate -8 - 15 + 0 - 22*u**l + 6*u**4 wrt u.
-64*u**3
Find the second derivative of 15*i**2 + 56*i + 67*i - 162*i**2 wrt i.
-294
Let w(l) be the second derivative of -1/4*l**8 + 0*l**3 + 0*l**6 + 0*l**2 - 5/6*l**4 + 0*l**5 + 0*l**7 + 11*l + 0. Find the third derivative of w(u) wrt u.
-1680*u**3
Let o(r) = -5*r - 12. Let w be o(-3). What is the second derivative of -31*b**3 - 14*b**3 + 23*b**w - 15*b wrt b?
-132*b
Suppose 2*y + 21 = t, -18 = -0*y + y - 2*t. Let u be (-6 - -2)*12/y. Differentiate 3 - 6 - 1 - u*o**3 + 1 with respect to o.
-18*o**2
Let v(z) = 26*z**2 - 2. Let k(f) = -26*f**2 + 3. Let m(y) = 1. Let i(x) = -k(x) + 2*m(x). Let p(t) = 5*i(t) - 6*v(t). What is the derivative of p(h) wrt h?
-52*h
Let h(l) be the third derivative of 83*l**6/120 - 11*l**3/3 + 127*l**2. What is the derivative of h(j) wrt j?
249*j**2
Find the second derivative of -66*w**3 + 146*w**3 + 51*w - 52*w + 208*w**3 + 110 wrt w.
1728*w
Let m(s) = -4*s**2 - 25*s + 2. Let c(g) = -9*g**2 - 51*g + 5. Let n(b) = -2*c(b) + 5*m(b). Find the second derivative of n(l) wrt l.
-4
Let o(v) be the second derivative of 14*v**6/15 + 23*v**2 + 13*v + 2. Differentiate o(p) with respect to p.
112*p**3
Find the third derivative of 1219336*o**4 + 146*o**2 + 224*o**2 - 1219390*o**4 wrt o.
-1296*o
Let p(h) = -18*h**3 + 23*h**2 - 4. Let k(g) = -33*g + 7 + 33*g - 45*g**2 + 35*g**3. Let s(i) = -4*k(i) - 7*p(i). Find the third derivative of s(y) wrt y.
-84
Let a(g) = -g**2 + 2*g + 130. Let i be a(0). Find the first derivative of 4*k + i*k**2 - 2*k - 128*k**2 - 19 wrt k.
4*k + 2
Let s be (168/9)/(-7)*(-3)/2. What is the second derivative of 1062 - 9*f**s + 10*f - 1062 wrt f?
-108*f**2
Let k be (8 + -9)*3*-1. Find the second derivative of -k*m**3 + 0*m + 14*m**3 + m + 4*m wrt m.
66*m
Suppose -4*u + 3*y - y = -236, -3*u + 5*y = -170. Let r be (-24)/84 - u/(-14). Find the third derivative of 3*x**r + 1 - 3 + 2 + 6*x**2 wrt x.
72*x
Let x(b) be the third derivative of -b**8/336 - b**6/30 + 20*b**4/3 + 148*b**2. Find the second derivative of x(t) wrt t.
-20*t**3 - 24*t
Find the third derivative of -102*p**3 + 41*p**5 + 101*p**3 - 5*p**5 - 116*p**2 wrt p.
2160*p**2 - 6
Let f(n) = n**2 + 7*n - 4. Let c(s) = 2*s + 4. Let h be c(-6). Let j be f(h). Find the first derivative of 7*z**4 + 0 - 4*z**j - 7 wrt z.
12*z**3
Let j(m) = m**3 - 6*m**2 + 5*m + 6. Let f be j(5). What is the second derivative of -7*q**4 - f*q - 4*q**4 + q - 6*q wrt q?
-132*q**2
Let c(m) = -m**2 + 2*m + 26. Let t be c(6). Find the third derivative of -16*f**6 + t*f**2 - 36*f**2 + 12*f**6 wrt f.
-480*f**3
Let o(x) = x**3 - 2*x + 22. Let k be o(0). Let f(b) = -b + 31. Let g be f(k). What is the derivative of -17 + g*p + 4*p + 2 wrt p?
13
Let q(n) = n**2 + 2*n - 3. Let f be q(0). Let c be -2 + f - -1 - -9. Find the second derivative of 4*b**c - 5*b - 2*b + 4*b + 3*b**5 wrt b.
140*b**3
Suppose 5*w + 55 = -5*n, -2*n + 6*n + w = -50. Let x = n + 15. Find the first derivative of 5*p**2 - 1 - 2 - x wrt p.
10*p
Suppose 18*c = 15*c + 18. Let g(x) be the third derivative of 0 - 1/6*x**3 + 0*x**4 + 0*x + 7*x**2 - 1/42*x**7 + 0*x**5 + 0*x**c. Differentiate g(w) wrt w.
-20*w**3
Let n(q) be the first derivative of -6*q + 15*q + 3 - 3*q**2 - 2*q**2 + 4*q. What is the first derivative of n(b) wrt b?
-10
Suppose -2*f - 15 = 1. Let x be f/(-10) + 33/15. What is the derivative of -9*j**3 + 5*j - 3*j - 2*j + x wrt j?
-27*j**2
Let d(p) = 2*p**2 - 3*p + 1. Let s = -1 - 2. Let n be d(s). Find the third derivative of n*t**6 - 24*t**6 + 2*t**2 + 2*t**2 wrt t.
480*t**3
Suppose -3*u = 5*p - 0*u - 22, -p + 3*u = -8. Let b = -34 - -82. What is the third derivative of -28*z**5 + 10*z**2 + b*z**5 - 23*z**p wrt z?
-180*z**2
Let y(l) = -2*l + 1. Let t(r) = -8*r**3 + r**2 - 2*r + 148. Let u(c) = 2*t(c) - 2*y(c). Find the third derivative of u(o) wrt o.
-96
Let r(w) be the first derivative of -w**7/840 - 7*w**6/90 + 2*w**3/3 + 8. Let p(a) be the third derivative of r(a). Find the third derivative of p(c) wrt c.
-6
Suppose -4*u = 5*c - 39525, -2 - 4 = 2*c. Find the third derivative of 3*p**4 + 14*p**4 - 9866*p**2 + u*p**2 wrt p.
408*p
Find the second derivative of -h - 75*h**5 - 4*h**2 - 9*h**5 - 16 - 445*h**5 + 4*h**2 wrt h.
-10580*h**3
Let o = 21 - 17. Suppose -7*f + 2*f + 25 = 0. Find the second derivative of -s + 7*s + 7*s**5 + 0*s**f - o*s wrt s.
140*s**3
Let z = 73 + -53. Find the first derivative of m**2 - 18*m**2 + z - 10 wrt m.
-34*m
Let k(j) be the first derivative of 118*j**5 + 623*j + 262. What is the first derivative of k(n) wrt n?
2360*n**3
Let f(w) = -w**2 - w + 2. Let i(o) = 343*o**3 - 18*o**2 - 10*o + 10. Let d(x) = -5*f(x) + i(x). Find the third deri
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + q*x**2 + y*x and give q.
0
Rearrange 53 - 48 + 0*v + 0*v + 6*v**2 to z*v + o*v**2 + h and give o.
6
Rearrange (2 + 0 - 1)*(-2*g + 4*g - g) to the form p*g + z and give p.
1
Rearrange (2*j - 2*j + 2*j**2)*(-7*j**2 - 4 + 4) + 0*j**4 - 1 + 3 + j**4 to the form c + r*j**3 + h*j**2 + x*j**4 + g*j and give c.
2
Rearrange (-2*g**2 + 3*g - 3*g)*(g - g + 3*g**2) + (-4 + 5*g + 4)*(0*g**3 - g**3 + 3*g**3) to t*g**2 + n*g + f*g**4 + k*g**3 + j and give f.
4
Express -20*p + 28*p + 61*p as o + m*p and give m.
69
Express (-10 - 9 - 9 - 4)*(z - 5*z + z) as r + s*z and give s.
96
Express (50 - 12 - 12)*(-2*v + 2*v - 2*v) as z*v + h and give z.
-52
Rearrange 0*c**4 + 3*c**3 + c**2 - c**4 - 2*c**4 + c**4 to m*c**4 + k*c**2 + a + u*c**3 + j*c and give k.
1
Express -s**2 - 6*s**2 - s**2 - 3*s - 2*s**2 + 3*s + (2 + 2*s - 2)*(-s - 2 + 2) + (s + 3*s - 5*s)*(-2*s - s + s) as o*s**2 + b*s + r and give o.
-10
Express -8*n - 3*n - 6*n + 2*n as q + x*n and give x.
-15
Express 3*y - 20 - 5*y + 28 as c + w*y and give c.
8
Express -52*j**4 + 52*j + 3*j**4 - 50*j + (-2*j**2 + 4*j - 4*j)*(-2*j**2 + 1 - 1) as k*j**4 + a*j**3 + b + w*j**2 + y*j and give y.
2
Express 6*u - 8*u - 27*u + u as b + f*u and give f.
-28
Rearrange -16*m**2 - 31*m**3 - 14*m**2 + 2*m + 30*m**2 to the form c + g*m**3 + y*m**2 + t*m and give g.
-31
Rearrange (1 - 1 - 6)*((1 + 1 - 1)*(3*i + 3*i - 4*i) - 2 + 9*i + 2) to the form s + g*i and give g.
-66
Express (-9*l**2 + l**2 - 5*l**2)*(4*l - l - l) + (l + 2 - 2)*(-1 + 1 - 2*l**2) in the form t + f*l**3 + d*l + z*l**2 and give f.
-28
Rearrange 4*t**2 - 5*t**2 + 3*t**3 - t**3 - 4*t**3 to v*t + r*t**3 + d + s*t**2 and give s.
-1
Express (4 + 1 - 3)*(3*w + 0*w - 6*w)*(-8 - 4 + 5) as d*w + l and give l.
0
Express -16 - 19 - 4*y + 61 - 20 as h*y + d and give h.
-4
Rearrange (-1 + 2 + 3)*(-2*j - 21*j - 30*j)*(j**3 + 0 + 0) to h*j**3 + m*j**2 + v*j**4 + x*j + l and give m.
0
Rearrange (-t**3 - 2*t + 2*t)*(2*t + 0 + 0) - 3*t**4 + t**4 - t**4 + (0*t**2 - t**2 - 2*t**2)*(t**2 + 2 - 2) to s*t**4 + p*t + v + h*t**3 + u*t**2 and give s.
-8
Express -10*k - 20*k**2 - 19*k + 29*k in the form t + g*k**2 + i*k and give g.
-20
Rearrange (1 - 2 - c + 2)*(15*c**2 - 11*c**2 + 15*c**2) + (2*c**2 - 3*c**2 - c**2)*(-c + 1 - 1) to d*c + m*c**2 + f*c**3 + y and give m.
19
Rearrange 1 - 11*q**3 - 652*q**2 + 652*q**2 - 2*q to the form k*q**2 + v*q + f*q**3 + m and give k.
0
Express -5*c**2 - 51*c + 51*c + (-4*c + c + c)*(-2 + 2 - 2*c) in the form u + t*c**2 + x*c and give t.
-1
Rearrange (-1 + 0 - 6)*(-4*a + 3*a + 3*a + (-4*a + a + 2*a)*(0 + 0 - 1) + 40*a + 53*a - 71*a) to the form b*a + h and give b.
-175
Express -189*z**4 + 190*z**4 - z + 3*z**2 - z**2 in the form w*z**2 + b*z**3 + y*z**4 + p + o*z and give w.
2
Express 0*p + 4*p + p - 3*p + 3*p**4 + 5*p**3 + 2*p**2 in the form q*p + a*p**4 + v*p**3 + z*p**2 + t and give v.
5
Rearrange (2 - 4 + 1)*(-11 + 4*i + 11)*(2 - 2 - 3) to the form n + o*i and give o.
12
Express 56 - 27 - 3*f - 30 as j*f + d and give d.
-1
Rearrange 6*v + 2*v**4 - 6*v - 3*v**2 - 6*v**4 + 2*v**4 + 2*v**4 + (v - 5*v + 2*v)*(-v + v**3 + v) to q*v**3 + m + x*v + t*v**2 + a*v**4 and give t.
-3
Express 2*a**4 + 616 - 621 + 4*a**2 + 2*a**2 - 2*a in the form z*a**3 + b*a + j*a**4 + h*a**2 + c and give c.
-5
Rearrange -25 + 0*x**2 - x**3 - 5*x**2 - x + 25 to the form v*x + y*x**2 + w + r*x**3 and give y.
-5
Rearrange 7 + 11*g**3 + g**4 - 4*g**2 - 6*g**3 + 5*g**2 to q*g**4 + k*g + w + p*g**2 + f*g**3 and give w.
7
Rearrange 2*w**2 + 65*w - 3*w**3 - 65*w to the form i + l*w + a*w**3 + n*w**2 and give n.
2
Rearrange 2*n**3 - 6*n - 5*n**2 + 6*n to m*n**3 + b*n**2 + x + k*n and give k.
0
Express -2*i**3 + 3*i**3 - 5*i**3 + (-2*i**2 + 4*i**2 + 0*i**2)*(-i - 2*i + i) - 2 - 29*i**3 - 27*i**3 + 20*i**3 as q*i + y*i**2 + h*i**3 + c and give c.
-2
Rearrange -3*c**3 - 2*c**3 + 6*c**3 + 7 + c**2 + 2*c**4 to the form l*c**2 + m*c**4 + b + s*c + x*c**3 and give m.
2
Express (3*y - 6*y + 2*y)*(-y**3 - y**2 + y**2) - 4*y**4 + y**4 + 2*y**4 + (0*y + y**3 + 0*y)*(0*y - y + 3*y) as w*y**3 + g*y + a*y**4 + m*y**2 + s and give a.
2
Express -p + p**4 + 7*p**2 - 2*p**3 - 5*p**2 + 0*p**3 in the form h + d*p**4 + t*p**2 + k*p**3 + f*p and give t.
2
Express 7*k**2 - 6*k**2 + 158*k - 51*k as v*k + w*k**2 + g and give w.
1
Express -v**2 + 14 + v - v - 33 as q*v + o*v**2 + m and give o.
-1
Rearrange (4 - o**3 - 4)*(2 - 5 + 1 + (1 - 3 + 3)*(2 - 4 + 3) - 3 + 1 + 1)*(-4*o + 5*o - 2*o) to b*o**3 + h*o**4 + s + i*o + x*o**2 and give h.
-2
Rearrange 11*k - 5*k + 18*k to the form r + o*k and give o.
24
Rearrange (-2*q + 1 + 0*q + 3*q)*(32 + 29 - 7) to the form o*q + c and give c.
54
Express -53*h**2 + 8352*h - 8352*h in the form g*h**2 + b + k*h and give g.
-53
Express -v**2 + 12*v**3 - 17*v**3 + v + 3*v**2 as t + r*v + m*v**2 + o*v**3 and give o.
-5
Express -100*m + 2 - 4 + 19*m + 0 as c + r*m and give c.
-2
Rearrange -80 + 42 + 38 - 95*z to v*z + l and give v.
-95
Rearrange (x - 11*x + 0*x + (-x - 1 + 1)*(-1 + 1 - 1))*(0 + 0 + 7*x**2) to the form p + l*x + b*x**3 + s*x**2 and give b.
-63
Rearrange (3*y + 3*y - 5*y)*(4*y**2 + 8*y - 8*y + y**3) to w*y**4 + b*y**2 + q*y**3 + x*y + l and give w.
1
Express (1 - 2 + 0)*(1 - 3*d - 1 + (23 + 55*d - 23)*(5 - 1 - 3)) as n + m*d and give m.
-52
Express (5 - 3 + 0)*(-3*c + c + c)*(-1 - 8 + 2) as g*c + b and give g.
14
Rearrange 75*d - 75*d + d**2 + 1 - 11*d**2 to v*d**2 + n*d + c and give v.
-10
Express -d - 7*d**3 + 0*d + 5*d - 5*d as f + k*d + m*d**3 + y*d**2 and give m.
-7
Rearrange 1 - 27*j**2 + 2 + 51*j**2 + 2 to the form h*j + g + v*j**2 and give g.
5
Express -2*d + 2*d + d**2 + (-4*d + 4*d + 3*d)*(0*d + 3*d - 5*d) + (3*d + d - 2*d)*(-5*d + 3*d + d) in the form k*d**2 + x + h*d and give k.
-7
Express (3*y - 3*y + 2*y**3)*(2*y + 1 - 1) - y + y + y**4 + 6*y**4 - 4*y**4 + 28*y**4 in the form v*y**2 + k*y**4 + p + j*y + c*y**3 and give k.
35
Express -3*d**2 - 7 + 4 - 6 + 5*d**2 in the form q + u*d**2 + h*d and give q.
-9
Express -26*m**2 - 55 + 23 + 30 in the form i*m + k + z*m**2 and give z.
-26
Express -12*v + 4*v + 5*v + v**2 - 3*v**3 in the form k + j*v**3 + f*v**2 + c*v and give c.
-3
Rearrange (g**2 + 0*g**2 - 2*g**2)*(-6*g + 33*g - 2*g - g + 0*g - g + (2 - 3 + 2)*(0*g - g - g) + g - 2*g - g) to the form c*g**2 + d*g + j*g**3 + q and give j.
-19
Rearrange 5 - 5 + 0 + 71*f**2 - 2*f to l*f + b + y*f**2 and give l.
-2
Rearrange (-2*t**4 - 2*t + 2*t)*(16 + 7 + 6) to p*t**4 + n*t + m*t**3 + l + g*t**2 and give m.
0
Express 47 + 37 + 3*k**2 - 114 + 43 in the form a*k + m*k**2 + y and give y.
13
Rearrange 9*l + 5*l + 14*l to o + j*l and give o.
0
Express (-2*q + 2*q + 2*q)*(62 + 16 + 31) as a*q + m and give a.
218
Rearrange (2*y**3 + 2*y**3 + 12*y**3)*(-2*y + 0*y + 0*y + (-y + y - y)*(1 + 2 + 1)) to the form m*y**4 + c*y**2 + l*y + t + d*y**3 and give d.
0
Express 2*a**3 - 6 + 2 + 2 + 3*a**3 - 3*a**3 - a**3 + (a + a + 0*a)*(-1 + 1 - 2*a**2) + 1 - a**3 - 1 as z*a**2 + j*a + n*a**3 + q and give n.
-4
Express -9*i - 14*i + 1 - 3 + 12*i - i**2 in the form b*i + y + t*i**2 and give y.
-2
Rearrange -3*h - 28*h**3 + 29*h**3 + 4*h to the form k*h**3 + o*h + g*h**2 + v and give o.
1
Rearrange -39*b**2 + 39*b**2 - b - 10*b**3 to the form d + k*b + t*b**2 + s*b**3 and give s.
-10
Rearrange -10*t + 7*t + 4 + 2*t to the form v + n*t and give v.
4
Rearrange i**4 + 12 - 3*i - 13 - 2*i**3 + 4*i**4 - 3*i**4 to the form o*i**2 + n*i + w*i**3 + t*i**4 + b and give t.
2
Rearrange (3 - 4 - 1)*(-o + 4 - 4)*(-3*o + 4*o - 5*o) to t*o**2 + w*o + u and give t.
-8
Rearrange (-1182 - 13*o + 78*o + 1182)*(-o**2 + 2*o**2 - 2*o**2) to the form i*o + m + d*o**3 + l*o**2 and give d.
-65
Rearrange -3*m**3 - 5*m + 5*m**3 + 35 + m**4 - 35 + 2*m**2 to i*m + s*m**4 + g + f*m**2 + h*m**3 and give f.
2
Express 8*g**2 + 8*g**2 + 8*g**2 as n + s*g**2 + c*g and give s.
24
Express 13 - 3*q**2 + 8 - 26 as j*q**2 + i + n*q and give i.
-5
Rearrange -3 + 62*h - 60*h + 0 + 7 to m + v*h and give v.
2
Rearrange (2 - 1 + 0)*(-c + 3*c - 4*c) + (4 - 4 + 2*c)*(-2 + 2 - 1) + (-4 + 0 + 2)*(4*c + 2 - 2) to the form h + y*c and give y.
-12
Rearrange -i**2 + 5*i**2 + 0*i**2 - i to the form d*i + q + b*i**2 and give b.
4
Rearrange -4*f + 5*f + f**2 + 1 + 1 - 1 + f**4 - 2*f**3 to d*f + m + b*f**2 + w*f**3 + c*f**4 an
|
{
"pile_set_name": "DM Mathematics"
}
|
for v.
-1
Let f(t) = t + 10. Let m be f(-6). Solve 6 = m*z - 2 for z.
2
Suppose -4*q + 56 = 5*i, q + 4*i - 20 = 5. Suppose 3*p = -0*p - q. Let l be (p/((-9)/12))/2. Solve 4 = -0*a - l*a for a.
-2
Suppose 4*n - 3*f - 23 = 0, 3 + 0 = -3*f. Solve -a - 4 = -n for a.
1
Let a(s) = -s + 15. Let q be a(11). Solve 0*g = 2*g + q for g.
-2
Let m = -118 - -121. Solve 0 = m*v + v - 16 for v.
4
Let n = -92 + 94. Solve -n*t = 2*t + 12 for t.
-3
Suppose -3*a - 27 = -4*m, -5*a - 17 = 4*m - 6*m. Solve 6 = -4*g - m for g.
-3
Suppose -b = b + 10. Let y be 17 + (-5)/(b/(-2)). Let o = y - 4. Solve -5*a = 1 - o for a.
2
Suppose -33 = -l - 3*l + 5*z, -5*l = z - 5. Solve l*f - 8 + 0 = 0 for f.
4
Let j = 16 - 10. Suppose 0*s + 5*n = s - 13, -2*n = 5*s - 11. Let x = j - s. Solve -x*d + 10 = 1 for d.
3
Let y = -39 - -64. Let u = y + -7. Suppose 3*p - 5*f = -2*f + u, 4*p + 1 = -f. Solve -3*i - 2 = p for i.
-1
Let y(u) = -4*u. Let x(v) = 5*v - 1. Let l(k) = -5*x(k) - 6*y(k). Let p be l(5). Solve -5*s + 1 - 26 = p for s.
-5
Suppose 0 = 3*d - 2*p + 228 + 124, 4*d - 5*p = -481. Let g be d/(-9) + (-4)/6. Solve -g = u + 3*u for u.
-3
Let r be 6/9*-1*-24. Let n = r + -10. Let p be n/4 - (-3)/(-6). Solve 2*w - 1 = p for w.
1
Let j = -13 + 20. Let y = j - 5. Solve o = 2*o - y for o.
2
Let u(a) = -a**2 + 6*a - 6. Let f be u(6). Let b be 1*7*f/(-7). Suppose -2*y = -4*y + b. Solve j + y*j = 0 for j.
0
Suppose -3*k = -5*k + 10. Let o(q) = -q + 9. Let y be o(k). Solve 8 - y = -4*n for n.
-1
Let j = -3 + 6. Suppose 0 = 4*i - j - 9. Suppose 0 = v - 1 - 1. Solve -v*g = i*g + 15 for g.
-3
Suppose -4*h = h - 20. Let p(a) = a**3 + 2*a**2 + a + 1. Let n be p(-2). Let t be (-2 + 2)*(-1)/n. Solve t = h*g + 7 + 9 for g.
-4
Let y(i) = i**3 + 5*i**2 + 4*i + 3. Let c be y(-4). Solve c*l + 4 = 10 for l.
2
Let t(s) = s**2 + 2*s - 1. Let p be t(-4). Solve -3*h = -22 + p for h.
5
Let u(g) = g**3 + 5*g**2 + 5*g + 6. Let k be u(-4). Let a be -3 - (-6)/3 - -2. Solve -k*r - 3 - a = 0 for r.
-2
Let y be (-4)/(-24) + 31/(-6). Let j(d) = d - 1. Let a be j(y). Let z be a/(-27) + 50/18. Solve -z = p - 1 for p.
-2
Let v = -4 + 22. Suppose 4*p = v + 14. Solve -4 = -3*i + p for i.
4
Let m(a) = 4 - 3*a**2 - a + 0*a**2 + 2*a**2 + 5*a. Let d be m(4). Solve 0 = -3*z + z - d for z.
-2
Let d(n) = -n**2 - 6*n - 7. Let p be d(-5). Let s be p/4 + 219/(-6). Let f = -21 - s. Solve -5*u = -u + f for u.
-4
Suppose 0*i + 3*i - 34 = -4*b, -4*b = -i - 10. Let k be (0 + (-15)/i)*-2. Suppose 0 = 5*h - 3*u - 20, -2*h - k*u - 4 - 19 = 0. Solve -7 = 2*s - h for s.
-3
Let j be (1/3)/((-2)/(-24)). Suppose -4*q + z - 10 - 8 = 0, -4*q = -4*z + 24. Let o = q + 7. Solve -j = t - o for t.
-1
Suppose 2*k = -3*k + 10. Let b be ((-1)/2)/(k/(-8)). Solve -b*w - 3 = w for w.
-1
Let d be (3 + (-3 - -2))*-2. Let n be (-4 - d)*(-1)/2. Suppose -3*h + n*h = 0. Solve 0 = 3*b - h*b + 3 for b.
-1
Suppose 4*a = -8 + 40. Solve -4*f = -8*f - a for f.
-2
Let l be -2*2/6 + (-385)/(-105). Solve 2*j - 5 = l for j.
4
Let m(t) = -t + 10. Let n be m(7). Solve c = n*c + 6 for c.
-3
Let r = 36 - 36. Let l be 0/(-2) - (2 + -1). Let i(a) = -a**3 + 2*a**2 + 2*a + 1. Let b be i(l). Solve r = -b*w + 10 for w.
5
Let c(n) = n**3 - 5*n**2 - 4*n - 7. Let f be c(6). Let s = f + -5. Solve s*i = -5*i for i.
0
Let g = 12 - 7. Let b be 26/7 - 4/(-14). Suppose -4 = -b*r, r + g - 1 = 5*n. Solve -2*k + 3 - n = 0 for k.
1
Suppose -2*z + 13 = w, 0 = 4*z - 15 + 3. Solve -3 = -j - w for j.
-4
Suppose 2*w + 3*n + n - 66 = 0, -3*w + 4*n + 89 = 0. Suppose 5*a = 4*o + w, 5*a + 0*o = -o + 11. Solve -a*y = -7 + 1 for y.
2
Let k(f) = f. Let h = -10 + 18. Suppose -h = -2*y - 3*y - 3*s, -s = y - 2. Let b be k(y). Solve b - 9 = -4*q for q.
2
Suppose -5*a = -3*a. Solve a*w + 8 = 2*w for w.
4
Let r = 3 - 1. Solve a - r*a + 4 = 0 for a.
4
Let p = -6 - -10. Let u(o) = o + 10. Let j be u(-9). Let s = p - j. Solve 2*d - s = d for d.
3
Let z(b) = 4*b - 11. Let h be z(6). Let q = h - 10. Solve -5*t = -q + 13 for t.
-2
Let m = -2 + 5. Solve m*c - 7*c = 0 for c.
0
Suppose -3*g + 27 - 21 = 0. Solve g*j = -8 - 0 for j.
-4
Let s(v) = -v**3 + 3*v**2 - v + 1. Let r(d) = d**2 + 3*d + 2. Let z be r(-3). Let k be s(z). Solve -m + 4*m = k for m.
1
Let l be (-1 + -3 - -16) + -5. Solve -l = 3*h - 22 for h.
5
Suppose -5 = 7*x - 8*x. Solve u = -4*u + x for u.
1
Let k be 1/5 - 20/(-25). Solve -4 + k = 3*j for j.
-1
Suppose 0 = 2*o + 2*o. Solve 0*k - k + 5 = o for k.
5
Let c = 165 - 149. Solve 18*f - 2 = c*f for f.
1
Let b(z) = -z - 11. Let h be b(-12). Solve -n + 0 = -h for n.
1
Suppose 3*k - 25 = -i, -3*k + 2*k + 4*i + 4 = 0. Suppose 0 = w + 4*m + 13, 4*w = m - 6*m - k. Suppose -6 - w = -3*x. Solve 0 = -x*a + 7*a + 20 for a.
-5
Let l = -4 - -4. Let w = l - -6. Let d = 3 + 0. Solve w = d*c - 0*c for c.
2
Suppose f = 6 - 2. Let z = f + -2. Let h be (2 - 2) + 4 - z. Solve -p = -h*p for p.
0
Suppose 4*m - 6 = -2*o + 16, 20 = 5*m. Suppose u - 14 = -u + 2*k, 0 = -4*u + o*k + 32. Let j be 2/u - 248/(-88). Solve 0 = w + 2 - j for w.
1
Let s = 2 + -1. Let x = -8 - -1. Let y be (x/(-21))/((-2)/(-18)). Solve y*n = 11 + s for n.
4
Suppose 4*d + 591 = 603. Solve 8 = d*b + 2 for b.
2
Let d = -11 + 11. Solve 20 = -d*s + 4*s for s.
5
Suppose f = 2*n - 1, 0 = -2*f - 0*f + 2*n. Suppose -5 = -h + f. Solve 0 = h*p - 2*p - 4 for p.
1
Suppose 5*g = g. Solve 0*t + t = g for t.
0
Suppose 5*q = 5*i, -28 + 10 = -i - 5*q. Suppose n + 2*m = 2, 0 = -4*n - 5*m + i*m + 26. Let x(s) = -5*s**3 + 2*s + 1. Let f be x(-1). Solve -n = -3*b + f for b.
4
Let l be (-2)/(2 - 36/16). Solve y + 3*y = l for y.
2
Let a be (-8)/20 - 34/(-10). Let y = 90 - 86. Solve -a*w + 2*w + y = 0 for w.
4
Suppose -6*r + 2*r = 0. Suppose r*p - 60 = -4*p. Solve 0 = 3*n + p - 3 for n.
-4
Suppose 0 = -3*b - 2*t - 2*t + 16, b - 4*t = 0. Solve s - 1 = -b for s.
-3
Let g(i) = 2*i + 3 - 2*i - 3*i + 2*i**2 + i**3. Let d be g(-3). Let z = 6 - d. Solve -z*u - 3 = -4*u for u.
3
Let k = -10 - -15. Suppose 4*d = -k*j + 22, -5*d = 2*j - 8 - 11. Solve -j*n + 20 = 3*n for n.
4
Let v(w) = -w**3 + 5*w**2 - 4. Let k be v(4). Solve 0 + k = -4*r for r.
-3
Let r be (-1)/((0 + 4)/(-16)). Let i be (r - 1)*15/9. Solve -3*h + 7 + i = 0 for h.
4
Let i be (-3 + 2)*1 + -2. Let o be ((-2)/i)/((-2)/(-6)). Suppose -3*b + 4*u = 16, 3*b - o*u + u = -4. Solve b = -5*t - 20 - 0 for t.
-4
Suppose a = -5*c + 30, -2*a + 0*a = 5*c - 35. Let n = -2 + a. Suppose 3*s + 29 = 5*y, 3*y + 3*s - 15 = 4*s. Solve y = r + n*r for r.
1
Suppose -4*g - 28 + 10 = l, 3*l - 31 = 5*g. Solve 17 - l = 3*d for d.
5
Suppose 0 = 5*h - 2*h - 9. Suppose -4*g + 4 = -m - 2*m, -h*m + 2 = 2*g. Suppose 0 = -2*v + 9 + 7. Solve m = -0*z + 2*z + v for z.
-4
Let m(f) = f**2 - 12*f + 14. Let s be m(11). Suppose 0 = -2*d + s*d - 3. Solve t = -1 - d for t.
-4
Suppose 0 = -c - 0*c + 5*j + 15, 0 = 4*c - 3*j - 9. Let z(i) = -i**3 - i**2 + 5. Let s be z(c). Suppose 0 = -s*t + 4*t + 3. Solve p + t*p - 4 = 0 for p.
1
Let g(x) be the first derivative of x**6/120 - x**4/24 + x**3/3 - x**2/2 + 3. Let t(s) be the second derivative of g(s). Let l be t(0). Solve l*d = 4*d for d.
0
Suppose 3*t + 10 + 5 = s, 3*s = -2*t + 1. Let p = 0 - -2. Let y be p - (2*-1 + 3). Solve y = s*h + 13 for h.
-4
Let y = 3 - 0. Suppose -l + 7 = -h - 4, y*h + 25 = 2*l. Suppose -2*s = -0*s - l. Solve s*b + b = 20 for b.
4
Let k be (-40)/(-6) + (-10)/15. Suppose -k*g - 84 = -3*g. Let i be g/(-6) - (-4)/(-6). Solve -i + 5 = y for y.
1
Let k(u) = -2*u - 15. Let l be k(-11). Solve b + 3 = l for b.
4
Let n be 2*((-9)/(-2) - -1). Solve 5*q = -n - 9 for q.
-4
Let x = 46 + -31. Let g = x - 11. Solve 4*p - 8 + g = 0 for p.
1
Let l be (-4 - -5) + 1 + 0. Suppose 0 = -z + l*z. Solve -2 = -v - z*v for v.
2
Let j = -7 + 8. Let b = j + -1. Suppose b = -5*z - 5*y + 5, 3*y + 2 = -z - z. Solve 1 = z*s - 19 for s.
4
Let r(l) = 2*l**2 + 2*l - 2. Suppose -1 = -p - 3. Let m be r(p). Solve -9 = -m*z + 5*z for z.
-3
Let v = 4 - 1. Let g be (2/(-3) - 0)*v. Let p = g + 7. Solve -2 = p*m + 23 for m.
-5
Suppose -5*y + 12 = -y. Suppose 8*b = y*b + 35. Solve -5*p + b + 13 = 0 for p.
4
Let a(z) be the first derivative of -z**3/3 + z**2/2 - 1. Let x be (-2)/(-5) - (-12)/20. Let y be a(x). Solve 0 = -y*b - 3*b - 3 for b.
-1
Suppose 5*v = -x + 101, 2*v - 3*v = 2*x - 22. Solve 5*z = z - v for z.
-5
Suppose -3*p + 12 = l
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Is -78277 < 48?
True
Which is smaller: 301461 or 301434?
301434
Which is greater: 0 or 6/88363025?
6/88363025
Is 670369 bigger than 31507298/47?
True
Is 21080461/3 greater than 7026821?
False
Which is greater: -153345866/7 or -21906551?
-21906551
Are -10958648/109 and -100537 unequal?
True
Is 12380472 smaller than 12380486?
True
Is -407699171 != -407699171?
False
Is 10533288 <= 10533286?
False
Which is greater: -2048048 or -2048043?
-2048043
Which is greater: 2693288 or 2693155?
2693288
Which is smaller: -6593949 or -19781849/3?
-19781849/3
Is 2/178986833 smaller than -1?
False
Which is smaller: 35829 or -118?
-118
Which is smaller: -17853/395 or 1/6?
-17853/395
Is -41979 at least 65?
False
Is 1 at most 2848/333217?
False
Is -1459 > 11306?
False
Are -2221 and 3105 non-equal?
True
Which is smaller: 32 or 4854188?
32
Is -1 at least 758428123?
False
Is -37695/668 >= -55?
False
Is -27393 > -22610?
False
Which is smaller: 1/483090460 or 1?
1/483090460
Which is smaller: 261 or 173401/664?
261
Is 6/77174471 at most as big as 0?
False
Is -2924300 at least as big as -14621499/5?
False
Which is smaller: 884105 or 7956947/9?
884105
Which is greater: 8743 or 8206?
8743
Which is smaller: 34 or 95509/2808?
34
Is -10403071 less than -10403089?
False
Which is smaller: 5 or 3416212?
5
Is -1445464 bigger than 2/7?
False
Which is smaller: -140461081/6 or -23410179?
-140461081/6
Which is smaller: 16782 or -8/149?
-8/149
Which is smaller: 144926/3 or 5?
5
Which is smaller: 97 or -9610?
-9610
Is 384660454 <= 384660452?
False
Which is greater: -4/13509263 or 1?
1
Is 203752/1567 > 130?
True
Is -48 >= -57/33743?
False
Which is greater: -45655421 or -45655426?
-45655421
Which is smaller: 0 or -276882/43?
-276882/43
Which is smaller: 9948814 or 9948816?
9948814
Does 1 = 2/279451571?
False
Which is smaller: 12566104 or -0.1?
-0.1
Is 280323 bigger than 278686?
True
Is 5351557 bigger than 5351556?
True
Is -3/10911805 bigger than 0?
False
Is 27297/5149 != 6?
True
Is 45831906 greater than or equal to 45831906?
True
Is 17982 at most as big as 17943?
False
Is 8 != -0.0197549?
True
Which is smaller: 14455402/5 or 2891079?
2891079
Which is greater: -0.052442 or 128?
128
Which is smaller: -126310/8929 or -14?
-126310/8929
Which is bigger: 67069 or 67070?
67070
Which is smaller: 25/7 or 207.0375?
25/7
Is -52118726 at least -52118727?
True
Which is smaller: -21713630 or -1/2?
-21713630
Is -285798/169 != -1692?
True
Are 1/2 and 2/17961561 non-equal?
True
Which is smaller: 528 or 355157?
528
Which is greater: 1/4 or -2083319.5?
1/4
Which is greater: -3255 or -55470?
-3255
Which is smaller: -1.4 or 10/238169?
-1.4
Is 6577576 at least 6577626?
False
Which is greater: 24 or 41266/1755?
24
Which is bigger: -158743374 or -158743376?
-158743374
Are 108386/2275 and 49 equal?
False
Which is bigger: 116409 or 1/37?
116409
Is -1120179 at most -1120181?
False
Is 0 less than or equal to 11/2404854?
True
Which is smaller: 1125279 or 5626393/5?
5626393/5
Which is bigger: 974 or 183323/188?
183323/188
Which is greater: 25024523 or 25024563?
25024563
Do -1.5 and 469051.1 have different values?
True
Which is smaller: -2 or 10/5653?
-2
Is 4/3336363 equal to -1?
False
Do 37198605/11 and 3381691 have different values?
True
Is -12 equal to -9448/11?
False
Which is bigger: 0 or -751/555630?
0
Which is smaller: -175981.86 or -2?
-175981.86
Is -979091 less than or equal to -979088?
True
Do 1567306 and 1567305 have the same value?
False
Which is bigger: 733/31142 or 1?
1
Is 8876192 < 8876196?
True
Which is smaller: -136731637 or -136731638?
-136731638
Are -51/101605 and -1 equal?
False
Are 37774934/7 and 5396420 equal?
False
Do -69.67615 and 10.5 have the same value?
False
Which is smaller: -967029 or -45450350/47?
-967029
Is -28878 at least -3446?
False
Is 467010776 smaller than 467010777?
True
Are -2 and -62095/68 equal?
False
Which is greater: -201497 or -201113?
-201113
Is -16509574 greater than or equal to -16509574?
True
Does -351088 = -351099?
False
Which is smaller: 19296 or 5084?
5084
Is -19337341 at least -19337337?
False
Which is smaller: -12736994 or -12736987?
-12736994
Is -1 less than or equal to -488/1051?
True
Is -201/662 not equal to 0?
True
Is -45 < -947628?
False
Is -1444/5 greater than or equal to -19445?
True
Which is smaller: -0.0704 or 1/12598?
-0.0704
Which is smaller: -0.05 or -38994498?
-38994498
Is -743349 smaller than -743282?
True
Are -24526422 and -24526459 nonequal?
True
Which is smaller: 587990/7 or 83998?
83998
Is -54/1217 at most 0.742?
True
Is 10/396947857 not equal to 0?
True
Which is bigger: 2 or -0.27931159?
2
Which is smaller: -274352830 or -274352832?
-274352832
Which is smaller: 1 or 1371/45443?
1371/45443
Is -1/30057517 less than 1?
True
Is 4 greater than -8851975?
True
Does 1485 = 4/52453?
False
Which is smaller: -12792/259 or -48?
-12792/259
Is -344019 at least as big as -344195?
True
Is -65 at least -7994/123?
False
Is 91271644 equal to 0?
False
Is -1 at least 3/32149265?
False
Are 52238409/5 and 0.08 equal?
False
Is 7199921 greater than 7199971?
False
Is -990862 > -991016?
True
Is 3/4 <= 581.5271?
True
Is 54806 less than or equal to 55151?
True
Is 6/39113213 not equal to 1?
True
Is 1/265862309 != -1?
True
Which is bigger: 547700/39 or 14044?
14044
Is -947107 less than -947110?
False
Is -2096430184 greater than -2096430184?
False
Which is smaller: -5973919 or -5973920?
-5973920
Which is smaller: 1409 or -7544?
-7544
Which is greater: 2766007 or 2765971?
2766007
Is 289551421 greater than 289551422?
False
Is -957737 smaller than -957722?
True
Is 2952/80347 equal to -1?
False
Is 1/1503197733 <= -1?
False
Which is greater: 2725 or 1107?
2725
Which is greater: -2046/24755 or 1?
1
Is 1 != 2207/302659?
True
Is -6 at most as big as -11708/1601?
False
Which is greater: -629763889 or 0?
0
Are 9510.253 and 0.01 equal?
False
Does 17686 = 4863592/275?
False
Which is smaller: -418784248 or -1?
-418784248
Are 153408272 and 153408269 nonequal?
True
Which is smaller: -7339999 or -7340003?
-7340003
Which is bigger: 470930852 or 470930853?
470930853
Which is smaller: -2785594 or -2785477?
-2785594
Is -1 smaller than 2350/348953?
True
Is -730142 at most as big as -730114?
True
Is -3778/6715 <= -2?
False
Which is greater: -6769539 or -6769537?
-6769537
Is -44.6 greater than or equal to -1493?
True
Is 31543343 < 31543341?
False
Are -63588483 and -63588483 unequal?
False
Which is bigger: 6037439 or -16?
6037439
Which is greater: 2007539 or 2007623?
2007623
Which is bigger: 29390940 or 29390931?
29390940
Do -448 and 22967 have different values?
True
Are 0.066681 and 3773 equal?
False
Which is greater: -26267 or -1234548/47?
-1234548/47
Which is smaller: 2/31 or -3510/37?
-3510/37
Which is smaller: 1911/2053 or -20?
-20
Which is smaller: -5629 or 11175?
-5629
Is 21019324 < 21019355?
True
Which is smaller: 314841 or -13?
-13
Is -1 at least as big as -13/2884862?
False
Is -502708156 less than or equal to -502708155?
True
Is -604 != 1041703?
True
Which is smaller: 72254655/16 or 4515916?
72254655/16
Is -1714 equal to -80601/47?
False
Which is smaller: -48353944 or -48353939?
-48353944
Does 0 = 18/183014833?
False
Is -6349022 bigger than -6349020?
False
Which is bigger: -1 or -158/1681279?
-158/1681279
Do 20739271 and 20739326 have the same value?
False
Are -372575 and -372567 equal?
False
Is -221103 at least as big as 130?
False
Do 3848/9 and 17/22 have the same value?
False
Which is bigger: 3556 or 177819/50?
177819/50
Is -12291 >= -12543?
True
Which is bigger: 364673/56 or 6513?
6513
Which is bigger: -32148 or -31407?
-31407
Which is greater: -237846 or -237961?
-237846
Is 103579630 less than 103579629?
False
Which is smaller: 2/7356239 or 15?
2/7356239
Is -520988 at most as big as -521478?
False
Which is bigger: -11705770 or -11705769?
-11705769
Which is greater: -1536473 or -1536418?
-1536418
Is -1087840709 equal to -1087840710?
False
Which is greater: 73 or 703688?
703688
Which is greater: -2/783859 or 0?
0
Is -10277 not equal to -12700?
True
Which is smaller: -55715/624 or -90?
-90
Is -135378036 greater than -135378037?
True
Which is smaller: -7017864 or -7017868?
-7017868
Is -51/43643 smaller than 5?
True
Which is bigger: 0.15436 or -26914?
0.15436
Which is greater: -0.56
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0*z)*(-z**2 - 3*z**2 - 2*z**2) - 4*z**3 + z**3 + z**3 to n*z**3 + j + u*z + b*z**2 and give u.
0
Express 182 + 3*a**3 - 531 + 156 as s*a + k*a**2 + w*a**3 + m and give w.
3
Rearrange -l - 96*l**2 + 9 + 9 - 18 to a + c*l + k*l**2 and give c.
-1
Rearrange 7*n**3 - 12*n**2 - 1 - n**4 + 0*n + 0*n**3 - 3*n**3 - 2*n + 14*n**2 to the form s*n**2 + c + t*n**4 + j*n + w*n**3 and give w.
4
Express (64320 + u - 33078 - 32503)*(-u - 2*u + 2*u) in the form h*u + k*u**2 + v and give h.
1261
Rearrange (0 - 4 + 5 + (-3 + 2 - 1)*(2 - 2 - 2) + 2 - 6 + 2 + 4 - 1 - 2)*(-53 - 95*c**2 + 53) to h*c**2 + y + i*c and give h.
-380
Rearrange 17 - 16 + 4 - 12 - 4*d to the form p*d + h and give h.
-7
Rearrange 8 + 0*b - 3*b - 8*b + 6 - b to the form y*b + i and give i.
14
Express -38*v**2 + 19*v**2 + 18*v**2 + 56 in the form n + r*v**2 + a*v and give n.
56
Rearrange 2*x - 5*x**3 + 37 - 52 + x**3 + 4*x**2 + 43 to the form g*x**2 + y*x + w*x**3 + h and give w.
-4
Express 29 + 28 + 25 - 2*l**2 - 72 - 4*l**4 in the form w*l**2 + m*l**3 + r + f*l + n*l**4 and give n.
-4
Express -z**3 + 0 + 0 + (2 - 2 - 6*z**2)*(4*z + 8*z + z) as o*z**2 + a*z + x*z**3 + t and give x.
-79
Express 2*y - 110*y**2 + 32*y**2 - 2 + 22*y**4 + 27*y**2 - 5*y**3 + 49*y**2 in the form x*y**3 + b*y**4 + a*y + h*y**2 + j and give b.
22
Express 51*z**2 + 13 + 0 - 64*z**2 as q*z**2 + m*z + d and give d.
13
Rearrange (2 - 2 + 1)*(-2 - 2 + 3 + (1 + 0 + 10)*(2 - 3 + 3))*(-13*s**3 + 4 - 4) to the form h*s + d + o*s**3 + u*s**2 and give o.
-273
Express -l**3 + l**3 + 24*l**3 + ((4*l - 3*l + 0*l)*(-3 + 3 - 2) - l - 2 + 3 - 2)*(l - 2*l**2 - l) in the form b*l**2 + q*l**3 + d*l + p and give q.
30
Rearrange (-6 + 2 - 1)*(70*y + 98*y - 29*y)*(4 + 0 - 5 + (-3 - 4 + 4)*(0 + 5 - 4)) to a*y + u and give u.
0
Rearrange 45 + 52*w**2 - 107*w**2 + 47*w**2 to the form q*w + p*w**2 + l and give p.
-8
Express (-5 + 2 + 4 + (-4 + 2 + 3)*(5 - 2 - 2) + 7 - 5 + 5)*(-22 + 4*l + 22) as j + b*l and give b.
36
Rearrange (2 - 4 + 0)*(5 - 5 - 3*r)*(-r - 1 + 1) + 2*r**2 + 454 - 508 - 4*r + 7*r to the form b + t*r**2 + y*r and give y.
3
Express 2 + 275*k - 3 - 566*k + 201*k in the form x + q*k and give x.
-1
Express 4*g**4 - 17*g**4 + 7 - g**3 + 24 + 12*g**4 + 5*g**2 as t*g**2 + f*g**3 + x*g**4 + o*g + i and give f.
-1
Rearrange 3 - 334*y - 2 + 336*y - 16*y**3 + y**2 to b*y + t*y**3 + q*y**2 + p and give b.
2
Rearrange (-3*n + 7*n - 2*n)*(-4*n + 17*n + 6*n)*(2 + 1 - 1 + n) to the form m + i*n + v*n**3 + h*n**2 and give v.
38
Rearrange (-5*n + 5*n - 4*n)*(3 - 207*n**2 + 4*n + 400*n**2 - 205*n**2) - 2*n**3 + 2*n**3 + 2*n**3 to x + m*n**3 + t*n**2 + u*n and give m.
50
Express 592*c**3 + 1 - 7*c**4 - 593*c**3 + 27*c**4 in the form m*c**4 + o*c**3 + u*c**2 + k*c + l and give l.
1
Rearrange -30*t**2 + 79*t**2 - 47*t**2 - 85*t to the form z + l*t + s*t**2 and give l.
-85
Express (s - 4*s + s)*(0*s + 0*s - 2*s) + (-s + s + 2*s)*(29*s - 28*s - 94*s) in the form l*s + x + b*s**2 and give b.
-182
Express 14*o**2 + 41 - o - 41 + 2 - 2 - 2*o**2 + (o + 2*o - o)*(6 + 2*o - 6) as k + d*o + p*o**2 and give d.
-1
Rearrange 71*o + 58*o - 47*o**2 - 130*o to v + r*o**2 + u*o and give u.
-1
Express (20 - 20 + t)*(3 - 1 + 0)*(41 - 26 + 45) in the form h*t + z and give h.
120
Express (-26 + 26 + 6*p)*(-5 + 3 + 4) + (-3 + 5 + 3)*(26 - 26 + 6*p) as n*p + y and give n.
42
Express -29*t + 5*t + 2*t**2 + 6*t**3 + 28*t in the form f*t**3 + v*t + x*t**2 + p and give x.
2
Rearrange 68*y**2 - 82*y - 37*y**2 + 32*y + 48*y + 102*y**2 to the form f*y + c*y**2 + u and give f.
-2
Express -119587 + 119587 - z**2 - 20*z + z**3 in the form w*z**3 + h*z + p*z**2 + f and give h.
-20
Express (0 - 7 - 3)*(2*m - 3*m + 2*m)*(-1 + 3 - 1 - 2 + 1 - 1 + (-2 - 2 + 6)*(3 - 3 - 1) - 4 - 2 - 3) in the form w*m + u and give u.
0
Express ((13*f**2 + 130 - 130)*(2 - 5 + 1)*(0 + 2 - 5) - f**2 + 4*f - 4*f)*(-6 + 5 - 9) in the form i*f**2 + j*f + h and give i.
-770
Rearrange (21*i**3 - i**3 - i**3)*(16*i - 28*i + 8*i - 15) to the form n*i**4 + r*i**2 + l*i**3 + y*i + o and give l.
-285
Express 6*f - 5*f + 0*f + (6*f - 2*f - 2*f)*(2 + 4 + 2) - f + 4*f - 2*f - 3 - 2*f + 0 + 1 + (-5 + 5 - f)*(1 - 1 + 1) - 3*f + 2*f + 0*f as g + r*f and give r.
14
Rearrange 13 - 50*f - 66*f**2 + 32*f**2 + 31*f**2 + f - 15 to the form n*f**2 + r + i*f and give i.
-49
Express 2*z**3 + 2294*z - 4591*z - 6*z**4 + 1 - 4*z**2 + 2298*z in the form f*z**4 + a*z**2 + u*z**3 + d + b*z and give f.
-6
Rearrange 2 - 2 + 9*g**4 + (-9*g - 9 + 10*g + 3)*(0 + 4 - 2)*(-2*g**3 - g**3 + 0*g**3) to the form p*g**3 + v*g**2 + m*g + c + w*g**4 and give w.
3
Express -32*p**3 - 2*p**2 + 15*p**3 + p + 2 - 5*p**2 - p**4 + 12*p**3 in the form y*p**4 + g*p**2 + t*p**3 + x*p + a and give g.
-7
Rearrange 3195 - 8*r - 57*r - 3195 to the form c*r + h and give c.
-65
Rearrange (-37*w + 45*w + 62*w)*(-4 + 4 + w + (-2 - 2 + 2)*(3*w - 2*w - 4*w)) to the form h*w**2 + l*w + i and give h.
490
Rearrange (10*h + 7*h - 4*h)*(-104 - 23 + 5) to m + v*h and give v.
-1586
Express 120 + 6*h**3 + 116 - 236 + 31*h**2 as m + r*h + i*h**2 + z*h**3 and give i.
31
Express -32*m + 9*m + 12*m + 2 + 9*m - 53*m**2 as s*m + k + f*m**2 and give k.
2
Express -444 + 2*d + 209 + 221 - 3*d**4 - d**4 - d**2 as b*d**2 + v*d**4 + j*d**3 + t*d + i and give i.
-14
Express -p + 20*p**2 + 9*p**2 - 5*p**2 - p**3 + 3*p**3 + 4 in the form b*p**3 + f + j*p + s*p**2 and give f.
4
Rearrange -p - p**3 + p + (4*p**2 - 4*p**2 + p**3)*(221 - 92 + 292) + 6*p**3 - 4*p**3 - 4*p**3 to d + u*p**2 + c*p**3 + s*p and give c.
418
Express -3 + 0 + 4*l - 6*l**3 - 185*l**4 + 183*l**4 as k*l**4 + o*l + x*l**3 + i + m*l**2 and give o.
4
Rearrange -145*y**2 - 2*y - 130*y**2 - 11*y**2 - 172*y**2 to f + v*y + x*y**2 and give x.
-458
Rearrange (n - 2*n + 4*n)*(-2*n + 3*n + 3*n)*(42*n**2 + 1689 - 3*n - 1689) to the form v*n**3 + b*n**2 + i*n**4 + w*n + j and give v.
-36
Rearrange -l**2 - l**3 + 44*l**4 + 176 - 174 + l**2 - 4*l + 6*l to z*l**3 + b*l + u + a*l**4 + i*l**2 and give u.
2
Rearrange 2*g**3 - 46*g**2 - 19*g**2 + g + 20658 + 12*g**2 - 20658 to the form q*g + x*g**3 + c*g**2 + a and give q.
1
Express (c - 1 + 1)*(7*c**2 - 5*c**2 + c**2) - 3*c**3 + 3*c**3 - 4*c**3 + (-3 + 3 + 5*c)*(-c**2 + c**2 + c**2) as m*c + d*c**3 + k*c**2 + y and give d.
4
Express 15181*l**4 + l**2 + 0*l**3 - 15179*l**4 + 26*l + 0*l - 6*l**3 in the form a + n*l + c*l**2 + y*l**4 + f*l**3 and give f.
-6
Express 5*v - 5 - 4*v + 3 - 4 as x + t*v and give x.
-6
Rearrange (-24 - 38*d + 24)*(3*d - 7*d - d) to f*d**2 + s + g*d and give f.
190
Express (-175*h**2 + 2220 - 2220)*(-2*h + 3 - 3) as a + n*h**3 + c*h**2 + o*h and give n.
350
Express -166*h + 0 - 1191*h - 913*h + 0 in the form i*h + l and give i.
-2270
Express (-1 + 2 + 0)*(y - 5*y - 3*y)*(-9 + 1 + 2) in the form s*y + p and give s.
42
Rearrange 13 + 157*o**3 + 25 + 10 - 4 + 2*o**2 - 163*o**3 to the form v*o**2 + u + r*o**3 + w*o and give r.
-6
Rearrange 2887*f + 60*f**4 - 2888*f + 6*f**4 - 3*f**3 to g + m*f + d*f**2 + u*f**3 + b*f**4 and give m.
-1
Express -9*p**2 - 38086 + 38086 + 16*p in the form j*p + d*p**2 + u and give d.
-9
Rearrange -5*l - 1 - 2*l + 5*l + 4*l to m + h*l and give m.
-1
Rearrange (-x**2 + 2*x**2 + 0*x**2)*(-4 + 4*x + 4) + 702 - 701 + 4*x**3 - 7*x + x**2 - 6*x**3 to u*x**3 + g*x**2 + w + r*x and give r.
-7
Rearrange (3 - 3 + 7)*(39*r - 74*r + 46*r + (3*r - r - r)*(-2 - 3 + 4) + 6*r - 3*r - r + 2*r + 0*r - 4*r) to the form h + x*r and give h.
0
Rearrange (4*p**2 - 3*p**2 + p**2)*(0 - 2 + 0)*(-20*p + 20*p + 2*p**2) to the form x + a*p**4 + j*p + h*p**2 + q*p**3 and give a.
-8
Express -4 - x + 4 + (-2 - 1 + 1)*(-5*x + 4*x + 2*x) - 3*x + 2 - 2 - 5668*x + 2861*x + 2876*x as f*x + a and give f.
63
Express 19*f - 45 + 45 + (3 - 5 + 3)*(-2*f + 2*f + f) - 6*f - 1 + 1 as h*f + l and give h.
14
Express (-4*j - 6*j**2 + 4*j)*(0 + 2 + 5 + (1 + 2 - 5)*(1 + 1 + 0)) in the form h + k*j + i*j**2 and give i.
-18
Express 7 + 3 - 136*w - 2 - 10 in the form p*w + k and give k.
-2
Express -2 + 2*u**2 - 11*u**2 + 8*u**4 - 28*u**2 + 2*u**3 - 10*u**4 as n + f*u**3 + b*u + k*u**2 + v*u**4 and give n.
-2
Express (19*r**2 - 666 - r**3 + 666)*(5 + 19 + 21)*(r - 2*r + 2*r) in the form w + s*r**4 + h*r + a*r**2 + g*r**3 and give s.
-45
Express (17*c + 19*c - 17*c)*(4*c - 5*c + 0*c) + (-4*
|
{
"pile_set_name": "DM Mathematics"
}
|
13517000
What is 0.00305986238 rounded to 6 dps?
0.00306
Round -74336.331 to the nearest ten thousand.
-70000
What is 807.47997 rounded to 1 decimal place?
807.5
Round 85209751800 to the nearest 1000000.
85210000000
Round -0.00000065488867 to 7 dps.
-0.0000007
Round -40.3075381 to two decimal places.
-40.31
Round -0.0035244525 to 5 dps.
-0.00352
What is -0.1634257231 rounded to 6 decimal places?
-0.163426
Round -6636557.66 to the nearest 10000.
-6640000
Round -623168.41 to the nearest ten thousand.
-620000
Round 0.25131239 to 1 dp.
0.3
Round -110225673200 to the nearest 1000000.
-110226000000
What is 0.82803579 rounded to one decimal place?
0.8
What is -35469.6055 rounded to the nearest ten?
-35470
Round 1.71994051 to 2 decimal places.
1.72
Round -86.724501 to zero decimal places.
-87
What is -24441849.6 rounded to the nearest 1000000?
-24000000
Round -0.0000340499256 to 6 dps.
-0.000034
Round 0.01207062049 to five dps.
0.01207
What is 150176.16 rounded to the nearest 100?
150200
What is 0.4021561585 rounded to 4 decimal places?
0.4022
Round -298921135 to the nearest 10000.
-298920000
What is 303.6228897 rounded to 1 dp?
303.6
Round 275607.01 to the nearest one hundred thousand.
300000
What is 15572993.4 rounded to the nearest 10000?
15570000
Round 3822733000 to the nearest 1000000.
3823000000
Round 0.00056881958 to 5 decimal places.
0.00057
What is 0.63525135 rounded to two decimal places?
0.64
What is -3523.477245 rounded to one dp?
-3523.5
What is -21294592.65 rounded to the nearest one thousand?
-21295000
What is 865016.577 rounded to the nearest one hundred thousand?
900000
Round 5329767478 to the nearest 100000.
5329800000
What is 0.0596070884 rounded to 4 dps?
0.0596
What is 52290.842 rounded to the nearest ten?
52290
What is -254414.5831 rounded to zero decimal places?
-254415
Round -0.0335351379 to five decimal places.
-0.03354
What is -361.11454 rounded to the nearest 10?
-360
What is 0.00722739463 rounded to 3 decimal places?
0.007
Round -0.001023517 to two decimal places.
0
Round -3648.959049 to 1 dp.
-3649
What is 271665.48 rounded to the nearest one thousand?
272000
What is 2245402.4521 rounded to the nearest one hundred thousand?
2200000
Round 460357.286 to the nearest ten.
460360
Round -288.8478884 to one dp.
-288.8
What is -97145.483 rounded to the nearest 100?
-97100
Round -0.000001060231094 to six dps.
-0.000001
Round -20.645284 to two decimal places.
-20.65
Round -0.00861745788 to 5 dps.
-0.00862
Round -2.4879029 to the nearest integer.
-2
Round 330.0787825 to the nearest 10.
330
Round -8197970.79 to the nearest 1000000.
-8000000
Round 759924.137 to the nearest 1000.
760000
What is -1.461738806 rounded to two decimal places?
-1.46
Round 0.000885574416 to seven dps.
0.0008856
What is -21219308.87 rounded to the nearest one million?
-21000000
What is 0.1032821605 rounded to 3 dps?
0.103
What is -0.000000902641377 rounded to 7 decimal places?
-0.0000009
What is -53371774100 rounded to the nearest 1000000?
-53372000000
What is 0.00052810245 rounded to 4 dps?
0.0005
Round 11543.10531 to 0 dps.
11543
What is 145280390 rounded to the nearest one hundred thousand?
145300000
Round -233.0242562 to 2 dps.
-233.02
What is 91528284.3 rounded to the nearest one million?
92000000
What is 90234457.39 rounded to the nearest ten thousand?
90230000
What is 0.003472023448 rounded to four decimal places?
0.0035
What is 0.00001356830633 rounded to 7 dps?
0.0000136
What is 0.1955640761 rounded to 2 dps?
0.2
What is -264.4215096 rounded to the nearest 10?
-260
What is -1076399279.9 rounded to the nearest 100000?
-1076400000
Round -0.0135628395 to 4 dps.
-0.0136
What is -0.009431955 rounded to 4 dps?
-0.0094
What is -0.0002109420655 rounded to 5 dps?
-0.00021
What is 0.00000083002296 rounded to 6 dps?
0.000001
What is -34390640400 rounded to the nearest 1000000?
-34391000000
What is -0.000012204431 rounded to six decimal places?
-0.000012
Round -0.01606329862 to six decimal places.
-0.016063
Round 780485.3795 to the nearest ten.
780490
Round 314159.64 to the nearest 100000.
300000
What is -0.004842901314 rounded to 6 decimal places?
-0.004843
What is -133.418354 rounded to the nearest ten?
-130
Round 4.12563216 to 3 dps.
4.126
What is 0.000124366723 rounded to six decimal places?
0.000124
What is 3865823.88 rounded to the nearest 1000?
3866000
Round -1.1993817 to 1 decimal place.
-1.2
Round -0.00487185959 to 4 decimal places.
-0.0049
What is 3.56471 rounded to four decimal places?
3.5647
Round 457343831 to the nearest ten thousand.
457340000
What is 13.8777905 rounded to 2 dps?
13.88
Round 0.0089825035 to six dps.
0.008983
What is 0.000001997121385 rounded to seven decimal places?
0.000002
What is -3050.0351 rounded to the nearest one hundred?
-3100
Round 13.4566201 to three decimal places.
13.457
What is 228737.376 rounded to the nearest 10?
228740
What is -1312258.76 rounded to the nearest one hundred thousand?
-1300000
What is 4.29505371 rounded to one decimal place?
4.3
What is -69153561290 rounded to the nearest one million?
-69154000000
Round 252704491.4 to the nearest one million.
253000000
What is 510601.136 rounded to the nearest one thousand?
511000
Round 3806.276075 to zero dps.
3806
Round 0.1065510248 to four dps.
0.1066
What is 8.54341015 rounded to three decimal places?
8.543
Round -84220890 to the nearest 100000.
-84200000
Round 18408179.2 to the nearest 1000.
18408000
Round -1217881070 to the nearest one hundred thousand.
-1217900000
Round -28.4407298 to two dps.
-28.44
What is 0.666966184 rounded to two decimal places?
0.67
Round -132.631094 to 2 dps.
-132.63
What is 0.02050443724 rounded to 5 dps?
0.0205
What is -1907952.15 rounded to the nearest 100000?
-1900000
What is 183237.789 rounded to the nearest 1000?
183000
Round -87650.692 to the nearest ten.
-87650
Round -59360.41393 to zero decimal places.
-59360
What is -0.0694276199 rounded to 4 dps?
-0.0694
What is -0.00004835759097 rounded to 7 decimal places?
-0.0000484
Round -0.0000345543286 to 6 dps.
-0.000035
Round -0.0001239475468 to seven dps.
-0.0001239
Round 0.0484485982 to three decimal places.
0.048
Round -0.0220392513 to two dps.
-0.02
Round -0.1902653117 to five dps.
-0.19027
What is 5.62536519 rounded to one decimal place?
5.6
What is 0.0000262586278 rounded to 5 dps?
0.00003
Round 1152.799556 to 1 dp.
1152.8
What is -2913.94664 rounded to the nearest one hundred?
-2900
What is -0.00001194208774 rounded to six decimal places?
-0.000012
What is -0.0000064542284 rounded to 6 dps?
-0.000006
What is 96460.1079 rounded to the nearest one hundred?
96500
Round 0.000013394047 to seven decimal places.
0.0000134
Round -2.95324064 to 3 decimal places.
-2.953
What is 0.0040145611 rounded to 5 decimal places?
0.00401
What is 75035459.41 rounded to the nearest one million?
75000000
What is -222178.93 rounded to the nearest 100?
-222200
Round -0.0554294925 to two dps.
-0.06
Round -39114393000 to the nearest one million.
-39114000000
Round -0.00093536475 to 4 dps.
-0.0009
Round -0.00000529331029 to seven decimal places.
-0.0000053
Round -350.418627 to 1 decimal place.
-350.4
Round 137143380 to the nearest 1000000.
137000000
What is 237716.4311 rounded to the nearest 100000?
200000
Round -0.13106339 to two dps.
-0.13
What is 14.62209194 rounded to the nearest integer?
15
Round -1.575040817 to the nearest integer.
-2
What is 291.1269 rounded to the nearest ten?
290
What is -6425966.58 rounded to the nearest one hundred thousand?
-6400000
Round -2.357650302 to four dps.
-2.3577
Round 4.52908641 to four dps.
4.5291
What is 143.0753434 rounded to one decimal place?
143.1
Round 12.5510755 to 3 decimal places.
12.551
Round -230.146698 to two decimal places.
-230.15
Round -5384651.97 to the nearest one million.
-5000000
What is 6753475.8 rounded to the nearest one hundred thousand?
6800000
What is 1.9356241 rounded to one dp?
1.9
Round -358202.129 to the nearest 100.
-358200
Round -0.0001842856827 to 6 dps.
-0.000184
Round 2974565490 to the nearest 1000000.
2975000000
Round 274920.0346 to the nearest ten thousand.
270000
Round 27883945.85 to the nearest one million.
28000000
What is 8012467400 rounded to the nearest one million?
8012000000
What is 0.0000249381166 rounded to 6 dps?
0.00
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the second smallest value? (a) 1373154 (b) 1 (c) -1/3 (d) -5
c
What is the second smallest value in -2/15, -22409, -5?
-5
What is the second biggest value in -2/3, 5, 245/3, 12/17?
5
Which is the third biggest value? (a) -0.34 (b) 1.23 (c) 0.001 (d) 1
c
Which is the biggest value? (a) 347 (b) -1 (c) -1/3 (d) 5
a
What is the second smallest value in -3513, -0.29, -0.2?
-0.29
Which is the second biggest value? (a) 3/2 (b) -1 (c) -77 (d) -5 (e) 0.2
e
What is the biggest value in -4, 4, 1/30, 0.6074, 3?
4
Which is the fourth biggest value? (a) -5 (b) -2/23 (c) 44 (d) 10 (e) 0.04
b
What is the third smallest value in 0, 1, 1/5, -0.8, 7, -1/8?
0
What is the smallest value in 24/7, 0, 0.369?
0
What is the third smallest value in 20, -0.3, -5, 1/4, -103/14?
-0.3
Which is the fourth smallest value? (a) 0.5 (b) 37/2 (c) -2/11 (d) 6/7 (e) 1.56
e
Which is the third biggest value? (a) 0 (b) 1.5 (c) -0.1 (d) -2/11 (e) -0.4 (f) -63
c
What is the third smallest value in 3/10, 2, -2, 10512?
2
What is the smallest value in -21.4, -3, -0.1, 2/7?
-21.4
Which is the fourth smallest value? (a) 24 (b) -1 (c) -214 (d) -1/3
a
Which is the biggest value? (a) -2/5 (b) -0.1 (c) -1 (d) -0.18
b
What is the biggest value in 3, 26263, -2, -5?
26263
Which is the second smallest value? (a) 21 (b) 4 (c) -11/5
b
What is the third biggest value in -3/14, 3, 1/2, -24?
-3/14
Which is the fourth biggest value? (a) -186 (b) -66 (c) 2 (d) -4
a
Which is the third biggest value? (a) 5 (b) 2 (c) -7/41 (d) -95 (e) -0.4
c
What is the smallest value in 195, -27, 2?
-27
What is the fifth biggest value in 0.4, -2/7, -2/19, -43, -75, 3?
-43
Which is the second biggest value? (a) -1/3 (b) 210/211 (c) 5 (d) 3 (e) -3
d
What is the biggest value in -0.076, 4, 2, 1, 1/9?
4
What is the third smallest value in 0, 65412, 0.2?
65412
Which is the smallest value? (a) 1/4 (b) 0.2 (c) -84 (d) 40.8
c
What is the biggest value in -55.9, 5, 531, -0.4?
531
What is the second smallest value in 3, -10, -11124, 1/5?
-10
What is the second biggest value in -316, 4, -1?
-1
Which is the biggest value? (a) -4644/5 (b) 0.3 (c) 1
c
What is the third biggest value in 31.6, 0.16, 3?
0.16
What is the biggest value in -0.0339, 0, 0.9, 3, -1/2?
3
Which is the fourth biggest value? (a) 18 (b) 3938 (c) 0 (d) -6
d
What is the fifth biggest value in -1, -6, -0.1, -0.2, 37, -13?
-6
What is the second smallest value in 1/4, -4967/7, 0.1?
0.1
Which is the second smallest value? (a) -13 (b) -1/147 (c) -12/11
c
What is the third smallest value in -2/9, -0.4, 4/5, 1, 15/49?
15/49
Which is the biggest value? (a) -2/17 (b) 2/7 (c) 166408
c
Which is the fourth smallest value? (a) -2 (b) -19 (c) -8 (d) -15 (e) 3/29
a
What is the fourth biggest value in 4/7, 1, 0.92, -1/3, -9, 3?
4/7
What is the third biggest value in -3, 18/5, -1/11, -3/2?
-3/2
What is the sixth biggest value in 4, -3/5, -1, 0.6, -14/9, 1?
-14/9
What is the fifth biggest value in 3, -1, 14, -6/5, 84, 1/12?
-1
Which is the fifth biggest value? (a) -2 (b) 1/122 (c) 5 (d) -1 (e) 0.8 (f) -0.1
d
What is the biggest value in -2, -21/38, 0.045?
0.045
What is the third biggest value in 10, -3, 45, -2/13, -2?
-2/13
What is the second biggest value in -0.343, 2414, 0?
0
Which is the fourth biggest value? (a) -7/3 (b) 2 (c) 0.5 (d) 0.03 (e) -2.5 (f) -7
a
Which is the third biggest value? (a) -3791 (b) -1/3 (c) -2/3 (d) 0.4
c
What is the second smallest value in -11, 53, -62?
-11
What is the fifth biggest value in 23, -0.2, 0.5, -84, -0.3?
-84
What is the third smallest value in -4, -5897, 0.1?
0.1
What is the third smallest value in 2/5, -266, -0.7, -2/3?
-2/3
What is the second biggest value in -3/5, -0.4, -3, -4, 0.4, 417?
0.4
Which is the third biggest value? (a) 4 (b) 0.01 (c) -1 (d) 7
b
Which is the smallest value? (a) 1/6 (b) -26 (c) 1/3 (d) 0.077
b
What is the second biggest value in -3/5, 3085, -0.2?
-0.2
What is the fourth smallest value in -1/6, -1724, -0.3, -1?
-1/6
Which is the second smallest value? (a) -4.3 (b) 4 (c) -243
a
Which is the third smallest value? (a) -85 (b) 119 (c) -3/7 (d) -1
c
Which is the smallest value? (a) -0.3 (b) -5 (c) 1051 (d) 274
b
What is the second biggest value in -1/5, -3356, -5, 3, 1?
1
Which is the smallest value? (a) 579 (b) 2 (c) -0.31
c
What is the smallest value in -3/5, -5, -51/265, 0.04?
-5
What is the fourth smallest value in -7/16, 17, -3, -1/5?
17
What is the fourth biggest value in 3, 0.6, -100/37, 0?
-100/37
Which is the fourth smallest value? (a) -1 (b) -4 (c) 4 (d) 24/43 (e) 449
c
What is the second biggest value in 0.3, 2, -132, 4?
2
Which is the fourth biggest value? (a) 0.3 (b) 465 (c) -0.4 (d) 19 (e) 4
a
Which is the second smallest value? (a) 113 (b) 13 (c) 15
c
What is the sixth biggest value in -6, 2/3, 49, 16, -0.2, -5?
-6
Which is the biggest value? (a) -1/4 (b) 1.5 (c) -3 (d) -194 (e) -0.2
b
Which is the second smallest value? (a) -0.1 (b) 0.0114 (c) -0.03 (d) 5
c
Which is the biggest value? (a) 0 (b) 66/5 (c) 44
c
Which is the second smallest value? (a) 0.017 (b) -26.1 (c) 1/3 (d) 4/3
a
What is the second smallest value in -5, -9, 9/7, -3/2, -6, 0.5?
-6
What is the fourth biggest value in -1, 1, -6/19, -6, -11.5, 5?
-1
What is the second biggest value in -11, -2/3, 2/11, -9, 0?
0
What is the smallest value in 6/5, -41, 0.04?
-41
Which is the second biggest value? (a) 3 (b) -1 (c) 36/11 (d) -5 (e) -3 (f) -14
a
Which is the biggest value? (a) 1 (b) 0.2 (c) -3022 (d) -2
a
Which is the third smallest value? (a) 0.5 (b) 0 (c) 58.892
c
Which is the smallest value? (a) 3/2 (b) -0.4 (c) 0 (d) 0.3 (e) -569 (f) 23
e
What is the fifth biggest value in 2/153, 1/5, 2, -2/9, -31, -1/11?
-2/9
What is the biggest value in 8/11, -4, 6/53, 2?
2
What is the third biggest value in 30603/2, -3, -2/111?
-3
What is the fourth smallest value in -7, 0.128, 1, 4/7, -0.02?
4/7
What is the fourth biggest value in 4, 1, 360, -0.16, 5, 2/5?
1
What is the second smallest value in 399135, 1/2, -0.5?
1/2
What is the third biggest value in 3, 114, 0, -0.9?
0
Which is the third biggest value? (a) 226 (b) -14 (c) 2
b
Which is the second biggest value? (a) 9482 (b) 1/3 (c) 0.5 (d) -0.1 (e) 2/11
c
What is the second smallest value in -73712, 2/15, -1?
-1
Which is the smallest value? (a) -3/4 (b) 1.2 (c) 33/2 (d) -4
d
Which is the third biggest value? (a) -5 (b) 0.1 (c) 5 (d) 3 (e) -5/11 (f) 3643
d
Which is the third smallest value? (a) 1/8 (b) -1/148 (c) 7 (d) -4/3
a
Which is the second biggest value? (a) 0.5 (b) 4502 (c) 2/7
a
Which is the third biggest value? (a) 716 (b) 6/5 (c) -3 (d) -2/3 (e) -5
d
Which is the second smallest value? (a) 76/357 (b) 2 (c) 4
b
Which is the fourth smallest value? (a) -0.5 (b) 4/149 (c) 0 (d) -4
b
What is the fourth biggest value in 0.4, 215, 1/2, -2/7, -4.8?
-2/7
What is the second smallest value in -735, 1/2, 1/10?
1/10
Which is the second biggest value? (a) 0.12 (b) 14826 (c) -5
a
What is the third biggest value in -97, -5/4, -2?
-97
What is the fourth smallest value in 2/21, -0.017, 959, -4?
959
Which is the smallest value? (a) -3/8 (b) -0.09 (c) -8/5 (d) 5 (e) -10
e
Which is the fifth biggest value? (a) -3 (b) 11 (c) 0.5 (d) -16 (e) 0.11
d
Which is the fifth smallest value? (a) -1/2 (b) -10 (c) -2/637 (d) 3 (e) 1/14
d
Which is the third smallest value? (a) -4/19 (b) -0.09 (c) 0.14
c
Which is the second biggest value? (a) 0.4 (b) -0.5 (c) -2 (d) 0.9337
a
What is the second smallest value in -64/5, -1/772, 0.3?
-1/772
Which is the smallest value? (a) 3 (b) -332 (c) 1/2 (d) -3 (e) 2
b
What is the third smallest value in 1, 0, -1434?
1
What is the biggest value in 29/6, -0.8, -2/7, -12.8, 0.1?
29/6
Which is the third smallest value? (a) 1/46 (b) -5 (c) -100/19
a
What is the smallest value in -3/2, 0.27, 2.6, -0.5, -0.7?
-3/2
Which is the third smallest value? (a) 9/5 (b) 0.25 (c) -3/5 (d) -72
b
What is the second biggest value in -2698, 5, -3?
-3
What is the fourth smallest value in 0.2, -1/4, -50/31, -47?
0.2
Which is the second smallest value? (a) 0.32 (b) -5 (c) 4
|
{
"pile_set_name": "DM Mathematics"
}
|
Find the third derivative of v(g) wrt g.
331680*g**2
Let q be ((-3)/3 - 0)/((-4)/12). What is the first derivative of -53 - 59 - 119*x**q + 16 - 1 wrt x?
-357*x**2
Suppose 2*b = -i + 2, -4*i = b + 3*b. Differentiate -40*v**2 + 979 - 1111 - 45*v**b wrt v.
-170*v
Let u be -1 - -2 - (0 - 4). Let v be u/40*-2*-8. Find the third derivative of -2 + 0*w**2 + w**v + 2 + 9*w**4 wrt w.
216*w
Differentiate 687 - 460*k + 2568 - 528*k + 389 + k**2 - 3*k**2 with respect to k.
-4*k - 988
Let y(r) be the second derivative of 0*r**6 + 0*r**2 + 0*r**3 + 139/56*r**8 + 0 + 0*r**5 + 0*r**7 + 107*r - 13/4*r**4. Find the third derivative of y(c) wrt c.
16680*c**3
Let u(j) = 24043*j**2 + 10117*j + 936. Let r(n) = 4007*n**2 + 1686*n + 144. Let g(c) = 39*r(c) - 6*u(c). Find the second derivative of g(i) wrt i.
24030
Let y be (-56)/(-20) - (-10)/50. Find the second derivative of 103*p - 38*p**y + 99*p**3 + 84*p**3 wrt p.
870*p
What is the second derivative of 0 + 26 + 8931*j**4 - 9268*j**4 + 9*j wrt j?
-4044*j**2
Suppose -44*w = -106 + 18. What is the derivative of -10*t**2 - 266 + 10*t**w + 0*t**3 - 43*t**3 - 2*t**3 wrt t?
-135*t**2
Let s(k) = -2*k**3 - 29*k**2 + 13*k - 27. Let r be s(-15). Find the second derivative of f**3 + 16*f**3 + 6*f**2 - 19*f**r + 148*f wrt f.
-12*f + 12
Let a(k) = 456*k**3 - 2*k - 260. Let o(g) = 455*g**3 - g**2 - 3*g - 262. Let r(w) = 3*a(w) - 2*o(w). Find the third derivative of r(y) wrt y.
2748
Let f(c) be the first derivative of 213 + 91*c**3 + 88*c**3 - 2*c**7 - 178*c**3. What is the third derivative of f(o) wrt o?
-1680*o**3
Let h(t) = 363*t**3 - 6*t**2 - 9*t - 2230. Let j(c) = 1088*c**3 - 16*c**2 - 24*c - 6691. Let b(g) = 8*h(g) - 3*j(g). What is the first derivative of b(z) wrt z?
-1080*z**2
Let k(a) be the first derivative of -656*a**5/5 - a**4/2 + 222*a**3 - 223. What is the third derivative of k(w) wrt w?
-15744*w - 12
Let l = 282 - 461. Let f = l - -298. Find the second derivative of 109*q**5 + q + 0*q - f*q**5 wrt q.
-200*q**3
Let n(f) be the second derivative of -2417*f**5/20 + 3431*f**2/2 + 1335*f + 1. Differentiate n(t) wrt t.
-7251*t**2
Let d(f) be the second derivative of -2435*f**7/42 - 2651*f**3/6 - 9*f - 3. Find the second derivative of d(p) wrt p.
-48700*p**3
Let d be 558/372 + 1/4. Let c(j) be the second derivative of -14/3*j**3 + d*j**4 + 0*j**2 - 9*j + 0. Find the second derivative of c(z) wrt z.
42
Let t be ((-30)/2)/((-6)/8). Let h be ((-46)/3)/(t/(-30)). What is the third derivative of -a**4 + h*a**2 + 2*a**2 + 3*a**4 + a**4 wrt a?
72*a
Let a(c) be the third derivative of -4*c**7/3 - c**6/120 + c**5/30 + 73*c**4/8 + c**3/6 + 5483*c**2. Find the third derivative of a(d) wrt d.
-6720*d - 6
Let g = -4790 + 4797. Let b(o) be the first derivative of 1/3*o**3 + 0*o - 7/2*o**4 + 0*o**2 + g. What is the third derivative of b(d) wrt d?
-84
Let g(c) = -c**3 + 6*c**2 - 4*c + 2. Let w be g(4). What is the second derivative of 13*b - 45*b - w*b + 33*b**4 wrt b?
396*b**2
Let u(x) = -59*x**3 + x**2 + x - 1. Let a be u(1). Let s = 76 + a. Find the second derivative of s*g**5 - 11*g**5 + 4*g**5 + 10*g wrt g.
220*g**3
Let v(w) be the first derivative of 8*w**5/5 - 3*w**4/4 - 16*w**3/3 - 1164*w - 4768. What is the first derivative of v(s) wrt s?
32*s**3 - 9*s**2 - 32*s
What is the derivative of -6302 + 753*p + 92 - 8*p**2 + 29*p - 394*p wrt p?
-16*p + 388
Let g(w) be the second derivative of 57*w**5/10 + w**4/12 + w**3/6 - 3215*w**2 - 16*w + 10. Differentiate g(t) wrt t.
342*t**2 + 2*t + 1
Find the third derivative of 271*z**5 - 3 - z**4 + 510062*z**2 - 1 - z**3 - 81*z - 510063*z**2 wrt z.
16260*z**2 - 24*z - 6
Find the second derivative of 4253*j**3 - 388*j**5 - 2123*j**3 + 4*j**4 - 2130*j**3 - 2489*j wrt j.
-7760*j**3 + 48*j**2
Let b be (-1 - (-1)/3)*(-1464)/16. Suppose -5*k - b = -3*s, -5*s - 5*k = -0*k - 35. What is the third derivative of -s*q**2 + 43*q**5 + 3*q**5 - 24*q**5 wrt q?
1320*q**2
Differentiate 0*f + 22165638*f**2 - f + 8310 - 22167146*f**2 wrt f.
-3016*f - 1
Let q(s) = s**3 - 5*s**2 + 8*s - 14. Let r be q(4). Find the third derivative of 18*d**2 + 17*d**4 + 70*d**5 + 71*d**5 - 143*d**5 + 33*d**r wrt d.
-120*d**2 + 408*d
Let s(i) = 235*i**3 + 4*i**2 + 4*i - 532. Let m(t) = -235*t**3 - 5*t**2 - 4*t + 531. Let b(z) = -4*m(z) - 5*s(z). What is the first derivative of b(o) wrt o?
-705*o**2 - 4
Let s(w) = 301*w + 343. Let y(p) = -3*p - 4. Let b(j) = 6*s(j) + 798*y(j). Find the first derivative of b(g) wrt g.
-588
Let x(y) be the third derivative of 0*y - 61/2*y**3 + 3/8*y**4 + 0 - 1/20*y**5 - 70*y**2. Differentiate x(z) with respect to z.
-6*z + 9
Let r(a) = -8866*a**2 - 9795*a. Let d(f) = -f**2 - 15*f. Let y(z) = -4*d(z) + r(z). What is the second derivative of y(v) wrt v?
-17724
Let h(u) = -2*u**3 - 20*u**2 + 16. Let y be h(-10). What is the second derivative of t**2 - 44*t - 15*t**3 - y*t**3 - 27*t**3 + 21*t**3 wrt t?
-222*t + 2
Suppose -20 = -v - q, 0*v - 5*q - 44 = -v. Suppose 3*w - 4*x + x - v = 0, -3*w = -4*x - 28. What is the first derivative of 7*r**w + 34 - 11 - 6 + 2 wrt r?
28*r**3
Suppose -24*k + x = -26*k + 7, -2*k - 4*x - 8 = 0. Find the third derivative of -74*n**k - 111*n**2 - 125*n**6 - 24*n**6 wrt n.
-26760*n**3
What is the derivative of 6010 + 406*t**2 - 2996 + t + 2309*t**2 - t wrt t?
5430*t
Let w(o) be the second derivative of -1498*o**6/15 + 565*o**4/12 + 874*o + 2. What is the third derivative of w(f) wrt f?
-71904*f
Let s(a) = -286*a - 355. Let b(x) = 290*x + 354. Let r(j) = -5*b(j) - 6*s(j). Differentiate r(k) with respect to k.
266
Let u(c) be the second derivative of -232*c**6/5 - 7*c**4/12 + 5*c**3/6 - 15*c**2/2 + 5654*c. What is the third derivative of u(i) wrt i?
-33408*i
Let x(d) = 1191*d + 624. Let t(i) = -13*i + 57. Let y be t(6). Let h(q) = 237*q + 125. Let a(u) = y*h(u) + 4*x(u). Differentiate a(n) wrt n.
-213
Let f(n) = 773*n**5 - n**3 - n**2 + 1307*n - 1. Let q(d) = 4*d**5 + d**3 + d**2 - d + 1. Let b(i) = -f(i) - q(i). What is the second derivative of b(x) wrt x?
-15540*x**3
Let j(s) be the second derivative of 11*s**7/21 - s**6/6 - 2158*s**3/3 - 1230*s. What is the second derivative of j(g) wrt g?
440*g**3 - 60*g**2
Let z(g) be the third derivative of 0*g + 50*g**2 - 1/24*g**4 + 0*g**3 + 0 + 0*g**5 + 3/40*g**6. Find the second derivative of z(k) wrt k.
54*k
Differentiate -8673*i**4 + 9256 + 44006*i - 44006*i wrt i.
-34692*i**3
Suppose -88 = -20*b - 8. Find the second derivative of 16 + 52*g - 5 - 11 + 6*g**b + g**2 wrt g.
72*g**2 + 2
Let t(v) = 24*v**2 + 2*v - 9. Let a be t(4). Find the second derivative of -1 - 50*i**2 - 1 + 360*i - a*i wrt i.
-100
Suppose 566 = -k + 589. What is the third derivative of 140*c**2 - k*c**5 + 36*c**3 - 77*c**3 + 0*c + 37*c**3 - 2*c + 19*c**5 wrt c?
-240*c**2 - 24
Suppose -o = -274 + 269. What is the second derivative of 19*k**o - 44*k + 20*k**5 + 7*k**5 + 4*k**5 wrt k?
1000*k**3
Suppose 6*o = -2*d + 9*o + 17, -3*d + 3*o = -21. What is the second derivative of 633*c**4 - 2*c**2 - 634*c**d - 105*c - 7*c**2 wrt c?
-12*c**2 - 18
Find the second derivative of 6*v**2 + 401*v**4 - 96725*v + 220 + 69*v**4 + 101 + 96731*v + 2*v**3 wrt v.
5640*v**2 + 12*v + 12
Let f = 109 - 108. Suppose 4*y - 8*y = 3*h, -3*y + f = 2*h. Find the third derivative of 7*i**2 + 6*i**3 - 5*i**3 + 4*i**y - 10*i**2 wrt i.
30
Find the first derivative of 49*s**2 - 666*s**2 + 84*s**2 - 670 - 15*s**2 - 938*s**2 wrt s.
-2972*s
Differentiate 4426*r - 1676*r - 1357*r - 2136*r - 861*r - 355 wrt r.
-1604
Let g = -129 + 135. Find the second derivative of -g*b**3 - 165 + 0*b**3 + 3*b**2 + 2*b - b**3 + 127 wrt b.
-42*b + 6
Let m(p) = -p**3 + 11*p**2 + p - 8. Let t be m(11). Find the first derivative of -4*k**t - k**2 + 19*k**3 - 10*k**3 + 47 + 4*k**2 wrt k.
15*k**2 + 6*k
Let m be (-14)/49 - (-2322)/42. What is the first derivative of -50*o - m*o - 15*o + 85 + 19 wrt o?
-120
Let h(r) = -180*r**2 - 57*r - 2. Let q = -944 + 943. Let z(j) = j**2 + 4*j. Let d(x) = q*h(x) + 6*z(x). Find the second derivative of d(c) wrt c.
372
Let r = 4132 + -4132. Let o(v) be the third derivative of 0*v**4 - 11/6*v**3 + 0 + 6*v**2 - 7/120*v**6 + 0*v**5 + r*v. Differentiate o(f) with respect to f.
-21*f**2
Let b be (-4)/10 + (-126)/(-15) + -4. Differentiate -38 - 13*y**b + 49*y**4 + 20*y**4 + 0 wrt y.
224*y**3
Let p(
|
{
"pile_set_name": "DM Mathematics"
}
|
in decreasing order.
4, v, -2
Let q(j) = -j**3 + 5*j**2 + j - 4. Let l be q(5). Let k be (14 + -4)*(-219)/(-438). Sort 2, -3, l, k.
-3, l, 2, k
Let g = 10.897 - 21.897. Let v be 2 + -1 + 11/(-7). Let z be (9/6)/(2/4). Sort g, v, z.
g, v, z
Suppose j - 10 = -8. Let g be (2 - (-1 + j)) + (7 - 8). Suppose 4*o + 5*u = 32, 0 = o - u - g*u - 8. Put o, 3, 2, -4 in increasing order.
-4, 2, 3, o
Let f = -12 - -1. Let p = f + 11.4. Let x = -12278 + 12278.3. Sort x, p, -0.2, -0.4.
-0.4, -0.2, x, p
Let f = 9910 + -9912. Let y(s) = s - 4. Let r be y(3). Sort r, f, 4.
f, r, 4
Let n be ((-32)/(-12))/(-4) - (-34)/42. Let u = -6.612 + 2.612. Sort u, -2/9, -1/7, n in increasing order.
u, -2/9, -1/7, n
Suppose 0 = -6*n + n, 5*j + 10 = -n + 3*n. Put -5, 0, -25, j in descending order.
0, j, -5, -25
Let r be 2 + -4 + 1 + -4. Let p be -2 - r*(3 - 2). Let z be p/5 + (-84)/(-35). Sort -8, 0, -3, z in decreasing order.
z, 0, -3, -8
Let n = 138 + -133. Let r = 5.35 + -3.35. Put n, r, -6, 3 in descending order.
n, 3, r, -6
Let f = 49/456 + 1/57. Let m = 59 + -58.176. Let u = m - 0.324. Sort 1/3, u, f in decreasing order.
u, 1/3, f
Let g be 2 - (4 - (-85)/(-40)). Suppose -3*h = 5*o - 3 + 12, 0 = 2*h + 6. Let f be (-4)/30 + (-372)/(-90) - o. Sort -0.1, g, f, 3.
-0.1, g, 3, f
Suppose -2*g = 2*g - 40. Suppose -5*v - 5 = g. Let l(t) = 4*t**2 + 53*t - 5. Let i be l(-13). Sort 2, v, i in increasing order.
i, v, 2
Let s = 1 - 3. Suppose 0 = p + 3*k + 15 - 4, k = -4*p - 22. Let h = -2213 - -2226. Put h, s, p in increasing order.
p, s, h
Let w be 7 + ((-136)/40 - -4)/((-45)/150). Let n be 16/(-1)*1/2. Suppose 0 = -2*z + z. Put n, z, w in decreasing order.
w, z, n
Suppose 0 = 3*i - 2*b - 2, -4 - 1 = 4*i + 5*b. Suppose i = -10*a + 4 - 4. Put 14, 3, a in descending order.
14, 3, a
Let j = 7766.9 + -7767. Sort 51, j, -1/4, -0.3, -6.
-6, -0.3, -1/4, j, 51
Suppose -20*h + 33 = -9*h. Suppose 4*i - r + 12 = 8*i, 20 = 3*i - 2*r. Put h, i, 62, -5 in descending order.
62, i, h, -5
Let n be (-129 + 89)*((-2)/(-2) - 0). Let s = 37 + n. Put 2, s, 25 in decreasing order.
25, 2, s
Suppose 72*m - 143 = 145. Suppose 8*h = 3*h + 130. Let f = h - 18. Sort 3, m, f.
3, m, f
Let p = -44/9 + 554/117. Let j = -26 + 27. Sort 10.5, p, j.
p, j, 10.5
Let l(z) = 3*z**3 + z**2 + z + 1. Let o be l(-1). Let u be (-1464)/122 + 0 + 14. Sort u, -3, o in increasing order.
-3, o, u
Suppose -884*b + 40 = -883*b + 4*y, 14 = -b + 2*y. Let l = 5 + -8. Sort l, -5/3, b in descending order.
b, -5/3, l
Let q = 186 + -101. Let a = q + -80. Let r be 6/(-14)*(13 - 14). Put r, a, -4/5 in decreasing order.
a, r, -4/5
Suppose 0 = 10*a - a + 36. Let c(u) = 10*u + 41. Let r be c(a). Put -10, r, -4 in decreasing order.
r, -4, -10
Let l = -0.1943 - 0.3057. Put 2/17, -0.4, -1, l in descending order.
2/17, -0.4, l, -1
Let j = 19 - 19.2. Let a(x) = x**2 - 6*x + 1. Let g(h) = 2*h**2 - 6*h + 9. Let o be g(2). Let v be a(o). Put j, 5, v, 2 in decreasing order.
5, 2, j, v
Let f = 75 + -75. Suppose 2*r - r + 2 = 2*u, -2*u - 2*r + 8 = f. Suppose 5*c - 10 = 3*o, -5*c - o - o = 15. Sort u, c, -5.
-5, c, u
Let i = 64.9 - 11.9. Let o = -49.7 + i. Let s = -7.3 + o. Sort 1/8, -2/9, 1/2, s.
s, -2/9, 1/8, 1/2
Let b(j) = -217*j - 4337. Let m be b(-20). Put -0.3, m, -1331 in descending order.
m, -0.3, -1331
Suppose g + 84 = 4*g + 3*f, g + 2*f - 33 = 0. Let v = 25 - g. Sort v, -9, 0 in decreasing order.
v, 0, -9
Let t(w) = -w**3 - 3*w**2 + 5*w + 9. Let o be t(-4). Let r(u) = u**3 - 5*u**2 - 3*u - 16. Let k be r(6). Sort k, o, -1.
-1, k, o
Let a = 844 + -1283. Let j = 432 + a. Put 3, 7, j in ascending order.
j, 3, 7
Let t be (551/(-870) + (-3)/(-10))*27/(-3). Let z = -2.5 - -3. Put z, t, -68 in increasing order.
-68, z, t
Let k(l) = -23*l + 185. Let m(s) = 16*s - 123. Let z(y) = -5*k(y) - 7*m(y). Let a be z(22). Put 6, -4, a in ascending order.
-4, a, 6
Let i = 34 - 20. Suppose 2*o - 26 = 2*n, 6*o - n + 2591 = 2624. Sort -3, o, i, 5.
-3, o, 5, i
Let v be (1 + 32)/((-3)/(-2)). Suppose -4*b + 5*y = v, -5*b + 4*y - 19 = 2*y. Let h = -383395 - -383395. Sort h, -1, b, 2.
b, -1, h, 2
Let u = -7.912 - -7.912. Put 0.4, u, -68, -2/5 in ascending order.
-68, -2/5, u, 0.4
Suppose -2 = -b + 3. Let x = -0.022261 + 1.022261. Put b, x, -3, -1/3 in descending order.
b, x, -1/3, -3
Let y = 1871.6 - 1869.6. Sort -2, -0.2, 0.7, -28, y in decreasing order.
y, 0.7, -0.2, -2, -28
Suppose 56*q - 375 = 61*q. Let g = q - -79. Suppose 2*t = -2*t + 20. Sort -4, t, g, -8 in descending order.
t, g, -4, -8
Let d = 15.2 - 14.8. Put 2/7, 0, d, 10, 0.5 in decreasing order.
10, 0.5, d, 2/7, 0
Let u = -1.08 + -49.92. Let o = u - -55. Sort -1/4, -5, o in ascending order.
-5, -1/4, o
Let z = 10343 - 10378. Sort z, 9, 4, 1, 2 in decreasing order.
9, 4, 2, 1, z
Let o be 20/(-15)*6*(-15)/(-40). Sort o, -2, -175, 4 in ascending order.
-175, o, -2, 4
Let q = -66 - -66.105. Let c = q - -0.195. Sort c, -24, 4, -3 in increasing order.
-24, -3, c, 4
Suppose -80*f - 19*f - 198 = 0. Put 0, f, -20/3 in ascending order.
-20/3, f, 0
Let k(l) = -284*l**2 + 44*l + 46. Let t be k(-1). Sort t, 1, -1 in increasing order.
t, -1, 1
Let w = -325.87 - -326. Let h = w + -0.08. Put h, 2/7, 5, -1/4 in descending order.
5, 2/7, h, -1/4
Let a = 533 - 450. Let d = a - 83.1. Put d, 3, -1, 10 in increasing order.
-1, d, 3, 10
Suppose -4*a + 2 + 2 = 0. Let j = 119 - 115. Let y(c) = c**2 - 4*c + 2. Let m be y(j). Sort -1, 5, m, a in increasing order.
-1, a, m, 5
Suppose -15 = -4*f + 5*k, 8*f - 4*k - 23 = 7*f. Let u be 6/8 - 39/36. Put 5, u, 3, f in descending order.
5, 3, u, f
Suppose -1 = t - 5*a, -202*a + 198*a = 0. Sort 64, 3, 5, -4, t.
-4, t, 3, 5, 64
Let r = -19 + 89.7. Let x = 69.7 - r. Let z = 8 + -4. Sort z, -0.3, x in descending order.
z, -0.3, x
Let h = 28424/5 - 5685. Sort -3/2, 0.2, h, -0.3.
-3/2, -0.3, h, 0.2
Let a(z) = -2*z - 15. Suppose 4*o - 12 = 3*d - 32, 5*d - 15 = 3*o. Let g be a(o). Let p(s) = -45*s + 218. Let r be p(5). Sort 3, -4, r, g.
r, g, -4, 3
Suppose 10475*w = 10467*w + 32. Suppose 10 = -3*k + k. Sort k, -3, w in ascending order.
k, -3, w
Let a(p) = 154*p + 621. Let g be a(-4). Suppose w = -2*y + 4, y - 2 = 2*w + w. Let j be 0*y*(-2)/8. Put 1, g, j in ascending order.
j, 1, g
Suppose 0 = 97*j - 109*j - 48. Put 2, -5, -38, j in descending order.
2, j, -5, -38
Let h = 3 - 6. Suppose -31*z + 25*z - 184 = -4*o, 4*z + 4*o = -96. Put z, h, -4/5, -0.3 in decreasing order.
-0.3, -4/5, h, z
Let r be 4/(-24) + (330/36 - -2) + -3. Let k = 7.3 - 7. Sort r, -5, k, 5 in descending order.
r, 5, k, -5
Suppose 5*k - 92 = 3*k. Let r = k - 55. Let d be (-3)/r*(-6)/(-8). Sort -4, d, -2/15, 0.3.
-4, -2/15, d, 0.3
Let b be -2 - -3*(-15)/(-24). Let p = -1.7 - -0.7. Suppose 0 = -9*j + 90 - 63. Sort 1, b, p, j in ascending order.
p, b, 1, j
Suppose 10 = -2*g, -4*g - 15 - 3 = -2*a. Suppose -30*u = 16*u + 138. Put u, 1, a, 8 in increasing order.
u, a, 1, 8
Let w = -1911 + 1874. Sort w, 8/3, -1, 1/9 in decreasing order.
8/3, 1/9, -1, w
Let p be 8/36 - 125/(-45). Suppose 0 = p*r + r - 4. Suppose -11*v - 12 = 21. Put -15, 3, v, r in increasing order.
-15, v, r, 3
Let p(v) = -58*v + 58. Let a be p(1). Sort -0.4, 1, a, 0.021 in decreasing order.
1, 0.021, a, -0.4
Let l be 3 - 0*(-6)/36 - 8. Sort 2, -49, l, 4.
-49, l, 2, 4
Suppose -17*j - 2*j + 76 = 0. Let h be (-45)/21 + -2*1 + j. Let q = -0.074 - -0.014. Sort h, -0.2, q in decreasing order.
q, h, -0.2
Let z be -2 + (-830)/8 + (-1 - -1). Let k = z - -2499/20. Let r = k + -19. Sort -3, r, 1/7.
-3, 1/7, r
Suppose -b = 4*c + 48, 5 = -c + 3*b - 7. Put c, 0.3, -1/7, -0.1, -5 in ascending order.
c, -5, -1/7, -0.1, 0.3
Suppose -8*r + 2 = 42. Let c = 4 + -5. Suppose -4*t + 11 = -m, -2*m + 36 = 4*t + 2*m. Sort t, c, r in decreasing order.
t, c, r
Let p = -51109/5 + 10135. Sort p, 5, 3, -0.5, -0.3 in descending order.
5, 3, -0.3, -0.5, p
Let v = 2443 - 791533/324. Let o = v + -211/1620. Put 0.2, 10, -4, o in decreasing order.
10, 0.2, o, -4
Suppose 4*s = 2*q - 6, -23 = s + s - 5*q. Let b be 8/(-18) + s - (-22)/(-99). Put 0.06, b, -5, 3/4 in increasing order.
-5, 0.06, b, 3/4
Let c = -6052 - -42361/7. Put -0.4, -3, 4, c, -1/3 in descending order.
4, -1/3, -0.4, c, -3
Let s(i) be the second derivative of -i**5/20 - i**4/2 + i**3/3 + 9*i**2/2 + 10*i. Let b be s(-6). Suppose 28*z = -97 -
|
{
"pile_set_name": "DM Mathematics"
}
|
ate the remainder when k/(-3)*6/(-4) is divided by 5.
4
Suppose 1 - 101 = -5*b. Calculate the remainder when 2/3 - 115/(-3) is divided by b.
19
What is the remainder when 20 is divided by 4/22 - (-714)/66?
9
Suppose 0 = 2*c + 22. Let h = c + 28. Suppose y + 2*y = 96. Calculate the remainder when y is divided by h.
15
Let s(f) = -4*f + 5. Let n be s(6). Calculate the remainder when -3*n/(-6)*-4 is divided by 13.
12
Suppose 0 = 4*p - 83 + 23. Calculate the remainder when p is divided by 5.
0
Let a = -46 + 117. Calculate the remainder when a is divided by 18.
17
Suppose -5*i = -4*i - 13. Suppose 0 = 3*o + 52 + 107. Let x = -28 - o. What is the remainder when x is divided by i?
12
Let w be (3 - (-4)/(-3))*3. Let s = w + 5. What is the remainder when (-2)/8 + 117/4 is divided by s?
9
Suppose -3*n = 2*n. Suppose 2*o - 4*y + 34 = 7*o, 4*y - 4 = n. Suppose -8 = -2*a + 24. Calculate the remainder when a is divided by o.
4
Let c(y) = -y**3 - 7*y**2 - y - 5. Let g be c(-7). Suppose -f = 3*f + 3*l - 52, g*l = -3*f + 39. Calculate the remainder when 37 is divided by f.
11
Calculate the remainder when 92 is divided by (57/57)/(1/47*1).
45
Suppose -3*s - 3*k + 12 = 0, -7*s + 2*s + 5*k = -70. What is the remainder when (-49)/(-2) + 2/(-4) is divided by s?
6
Let k(s) = -s + 6. Let j(r) = r**2 + r - 1. Let o(v) = 5*v**2 + 6*v - 2. Let t(h) = -4*j(h) + o(h). Calculate the remainder when t(-4) is divided by k(2).
2
Suppose -4*z - 5*w + 84 = 0, 21 = -2*z + 3*z - 3*w. Calculate the remainder when z is divided by 6.
3
Let x be 14/3*45/(-6). Let a be ((-12)/14)/(5/x). Let q = -4 + a. What is the remainder when q is divided by 1?
0
Suppose 5 = w, -5*v = w + w - 30. Suppose t = -0*t + v. What is the remainder when 10 is divided by t?
2
Let t(a) = a**2 - a + 1. Calculate the remainder when 20 is divided by t(3).
6
Let j(n) = -n**2 - 2*n - 6. Let c be j(-5). Let q = c - -45. Suppose 10 = 2*f, 0 = -5*w + 4*f - 35 + 245. What is the remainder when w is divided by q?
22
What is the remainder when 29 is divided by ((-5)/((-15)/(-54)))/(9/(-6))?
5
Suppose 4*f + 4*h = 28, -2*f + 3*h + 14 = h. Suppose 1 = 4*o - f. Let u = -24 + 29. What is the remainder when u is divided by o?
1
What is the remainder when 74 is divided by 6/33 - (-1 + (-652)/44)?
10
Let m = -111 - -118. What is the remainder when m is divided by 5?
2
Let u(z) = z**2 - z + 7. Let a be u(0). Let x(v) = -v**3 + 2*v**2 + 4*v - 3. Let w be x(3). Let p = a + w. What is the remainder when 13 is divided by p?
6
Let t(z) = -z**2 + 4*z - 1. Let g be t(3). Suppose 10 = -4*n + k, -g*n = -0*n - 5*k - 4. What is the remainder when (1 + 1/n)*24 is divided by 6?
4
Suppose -2*s - 40 = -74. Calculate the remainder when 66 is divided by s.
15
Suppose 4*s = -0*s + 32. Calculate the remainder when 29 is divided by s.
5
Let f(b) = b**3 + 7*b**2 - 3*b - 8. What is the remainder when f(-7) is divided by 7?
6
Let m(p) = 15*p**2 - p - 1. What is the remainder when 44 is divided by m(-1)?
14
Suppose 4*l + 5 = 21. Let n = -4 + 15. Calculate the remainder when n is divided by l.
3
Calculate the remainder when 124 is divided by (27/6 + -2)*10.
24
Suppose -u - 2 = 3, -2*u = -k + 10. Suppose k = -4*x - 2 + 6. What is the remainder when 37 is divided by ((-19)/3)/(x/(-3))?
18
Let m(x) = -3*x - 2. Suppose 3*c - 37 = 2*c. What is the remainder when c is divided by m(-5)?
11
Suppose 5*h = 6*h - 13. Calculate the remainder when 36 is divided by h.
10
Let k = 33 - 16. Let s = -17 + 27. Calculate the remainder when k is divided by s.
7
Let d be (-3)/(-2) + (-2)/(-4). What is the remainder when 16 is divided by ((-28)/8 + d)*-6?
7
What is the remainder when (116/145)/(2/30) is divided by 7?
5
Let j = 18 - 23. Let a(s) = 2*s**2 + 7*s - 1. What is the remainder when 67 is divided by a(j)?
11
Let q(g) = -g**3 + 9*g**2 - 7*g + 13. What is the remainder when 50 is divided by q(8)?
8
Let c = -49 - -75. Let r = c - 15. What is the remainder when r is divided by 4?
3
Suppose -3*i + 2*i = -11. What is the remainder when 29 is divided by i?
7
Let j = 49 + -29. What is the remainder when j is divided by -1*-2*(-7)/(-2)?
6
Let u = 44 - 19. Let m = u - 17. Calculate the remainder when m is divided by 3.
2
What is the remainder when -28*(0 - (-1)/(-2)) is divided by 8?
6
Let g(w) = 50*w**2 + 1. Let j be 2*1*2/(-4). Let y be g(j). Suppose 0 = 3*z - 3*u - y, -4*z - u - 101 = -9*z. Calculate the remainder when z is divided by 11.
10
Suppose -2*y - d = -0*y - 185, -d = 5*y - 461. Suppose 9*g = 5*g + y. Calculate the remainder when g is divided by 8.
7
Let t = -34 + 68. Calculate the remainder when t is divided by 12.
10
Let v(g) = -g**3 - g + 3. Let y be v(0). What is the remainder when 5*(-1 - 27/(-5)) is divided by -3*4*(-2)/y?
6
Let o(a) = -5*a - 10. Let i be -7*-1*(-3)/3. Let z be o(i). Suppose 0 = 5*v - z - 25. What is the remainder when 27 is divided by v?
7
Suppose 0 = -2*w + 5*c + 20, 0 = -3*w - 3*c - 6 + 15. Suppose w*j = 71 + 44. Let a(y) = -32*y - 20. What is the remainder when a(-2) is divided by j?
21
Let o = 174 - 156. Calculate the remainder when o is divided by 7.
4
Let v(a) = 2*a**2 - 1. Let n be v(1). Let h = n - 17. Calculate the remainder when 70/4 - (-8)/h is divided by 5.
2
Let d(k) = 2*k + 6. What is the remainder when 13 is divided by d(-1)?
1
Suppose 0*t + 2*t = 4. Suppose 3*c = -t*c + 45. Suppose 2*n = 5*w - c + 3, 0 = n + 2*w - 6. Calculate the remainder when 5 is divided by n.
1
Let f(p) = 3*p - 7. Let y be f(5). Let s be y/(2*(-1)/(-1)). Suppose 16 + 8 = s*r. What is the remainder when 10 is divided by r?
4
Calculate the remainder when 40 is divided by 216/10 - 2/(-5).
18
Let l(u) be the second derivative of u**4/12 + u**3/6 + 18*u**2 + 7*u. Calculate the remainder when l(0) is divided by 19.
17
Let p = 5 + 61. Calculate the remainder when p is divided by 34.
32
Let o(z) = 9*z + 9. Let f(s) = 26*s + 26. Let t(y) = 5*f(y) - 14*o(y). Let g(v) = v**2 + 4*v - 2. What is the remainder when t(6) is divided by g(-6)?
8
Let t(g) = -g**3 + 13*g**2 - 11*g + 11. What is the remainder when 63 is divided by t(12)?
17
What is the remainder when 63 is divided by 2/8 - 630/(-40)?
15
Suppose -3*g = -5*s + 77, 0*g - 4*g = -4. Calculate the remainder when 61 is divided by s.
13
Calculate the remainder when 13 + 126 - 1*2 is divided by 14.
11
Let c = 106 + -217. Let w = -73 - c. Suppose q - 52 = -3*q. What is the remainder when w is divided by q?
12
Suppose -2 + 7 = p. Calculate the remainder when 8 is divided by p.
3
Calculate the remainder when 31 is divided by (3 - (-50)/6)/(6/9).
14
Suppose -4*g + 188 = 4*z, -3*z - 44 = -4*z - 2*g. What is the remainder when z is divided by 17?
16
Suppose 0 = c + 2*l + 3, 12 = 5*c - c - 4*l. Suppose 4*z + 3*h - 2 = 3*z, -5*h = -4*z + 8. Calculate the remainder when z is divided by c.
0
Suppose -3*l = -455 + 44. What is the remainder when l is divided by 35?
32
Let l be (12/3)/(2 - 1). Suppose 8 = -2*u, l*a + 3 = 3*u + 31. Suppose -2*f = s + s - 12, 2*f - 34 = -a*s. What is the remainder when 21 is divided by s?
10
Let t = -2 - -2. Suppose t = 3*w - 7*w + 56. Calculate the remainder when 40 is divided by w.
12
Let a(c) = -8*c - 2. Let f = 3 - 1. Suppose f*v = -6 + 32. What is the remainder when a(-5) is divided by v?
12
Let a(c) = -c**2 + 3*c - 3. Let r be a(3). Let v = r + 7. What is the remainder when 10 is divided by v?
2
Let r(n) = 3*n**2 + 7*n - 8. What is the remainder when r(5) is divided by 21?
18
Let i(w) = w**2 + 9*w - 6. Let b be i(-10). Suppose b*k - 5*u = 92, -2*k + k - 2*u + 23 = 0. Suppose 63 = 5*c + 3. What is the remainder when k is divided by c?
11
Let k(s) = -s - 1. What is the remainder when -5*(5/1 - 4) - -10 is divided by k(-5)?
1
Suppose 2*i = 5*w - 171, 3*i = 4*w - w - 108. What is the remainder when w is divided by 9?
6
Suppose -4*k = -18 - 62. Calculate the remainder when k is divided by (-2)/((-15)/(-21) - 1).
6
Suppose 3*v = 5*v - 2, v - 21 = -q. Suppose 0 = 24*o - q*o - 16. Calculate the remainder when 19 is divided by o.
3
Let o(h) = -22*h + 10. Calculate the remainder when o(-3) is divided by 13.
11
Suppose 3*h - 98 = 4. Suppose 0 = 2*w - 3*w + 4. Suppose w*g - 5 = 43. Calculate the remainder when h is divided by g.
10
Let x = 42 + -15. What is the remainder when 49 is divided by x?
22
L
|
{
"pile_set_name": "DM Mathematics"
}
|
4*i**2*t - 2*i*t + i + 67*t wrt i?
20*i**3*t - 288*t
What is the second derivative of -18*q**3 - 2*q**2 + 2*q + 47 wrt q?
-108*q - 4
Find the third derivative of 11*m**4*v**3 + 2*m**4*v - m**3*v - 2*m**2*v**2 + 2*v**3 - 14 wrt m.
264*m*v**3 + 48*m*v - 6*v
Differentiate 2*q**3*v**4 - 1100*q**3 + 72*v**4 with respect to v.
8*q**3*v**3 + 288*v**3
Find the second derivative of 16*m**2*r**3*z + 2*m**2*r*z - 57*m*r**3*z - 2*m*r**2 - 5*m*r*z - 2*r**3*z wrt m.
32*r**3*z + 4*r*z
Find the third derivative of -n*r*s**3 - 11*n*r*s - 2*r*s**3 - r*s**2 + r*s + 2*r + 10*s**3 wrt s.
-6*n*r - 12*r + 60
Find the second derivative of -4*g*p**4*v + 7*g*p**2*v - 2*g*p*v - 37*g*v - 10*p**3*v + 5*v + 2 wrt p.
-48*g*p**2*v + 14*g*v - 60*p*v
What is the derivative of -o*r - 97*o - 39*r - 2 wrt r?
-o - 39
Find the third derivative of -1006*m**3 - 7*m**2 + 12*m.
-6036
Find the second derivative of -6*f**3*p + 96*f**3 - f**2*p + 9*f*p - 2*f + 34*p wrt f.
-36*f*p + 576*f - 2*p
What is the second derivative of 959*x**2 + 7*x + 407?
1918
What is the derivative of 5491*r**2 + 2249?
10982*r
What is the derivative of -494*f**3 - 205?
-1482*f**2
Find the third derivative of 25*d**6 - 7*d**5 - 3*d**3 + 11*d**2 - 2*d + 71.
3000*d**3 - 420*d**2 - 18
Find the second derivative of 18*h**5 + 11*h**4 - 95*h wrt h.
360*h**3 + 132*h**2
Differentiate 1990*l*q**2*v + 2*l*q**2 + 2*l*q*v + 4*l - 48*q**2 wrt v.
1990*l*q**2 + 2*l*q
What is the first derivative of 10*b**3 - 38*b**2 - 2293?
30*b**2 - 76*b
What is the third derivative of -5153*k**3*p - 585*k**2*p + k**2 wrt k?
-30918*p
Find the third derivative of 8*d**5*r + 12*d**3*r**2 + 16*d**3 + 4*d**2*r**2 - d**2 - 4*d*r**2 + 109*d wrt d.
480*d**2*r + 72*r**2 + 96
Find the second derivative of -4*j**4 + 13*j**3 + 337*j wrt j.
-48*j**2 + 78*j
Find the third derivative of 52*c*s**6 + c*s**4 - 2*c*s**2 - 59*c*s wrt s.
6240*c*s**3 + 24*c*s
Find the third derivative of -2*t**5 + 14*t**3 + 157*t**2 wrt t.
-120*t**2 + 84
Find the third derivative of 276*w**3 - 303*w**2 wrt w.
1656
What is the derivative of 14*j**2*p - 3*j*p*y + 4*j*y - 206*p - 4*y wrt j?
28*j*p - 3*p*y + 4*y
What is the third derivative of -10*a**2*m**3 + a**2*m**2 - a**2*m - 238*a**2 + 23*m**3 wrt m?
-60*a**2 + 138
What is the second derivative of -751*u**5 - 6*u**4 - 1531*u wrt u?
-15020*u**3 - 72*u**2
Find the third derivative of g**6*x**2 + 1066*g**6*x - 3*g**2*x**2 + 7*g**2 + 8*x**2 wrt g.
120*g**3*x**2 + 127920*g**3*x
Find the second derivative of -1991*i**4 + i**3 + 4464*i wrt i.
-23892*i**2 + 6*i
What is the first derivative of -12*i**3 + i**2 - 241?
-36*i**2 + 2*i
What is the derivative of -1631*d*g**3 - 832*d wrt g?
-4893*d*g**2
What is the first derivative of -927*g**3 - 2903 wrt g?
-2781*g**2
Find the second derivative of 2*c**4 - 3025*c**3 - 2*c**2 + 13*c + 104 wrt c.
24*c**2 - 18150*c - 4
What is the third derivative of 2*j**3*u**4 - 62*j**3 + 8*j**2*u**2 + 11*j*u**4 - 2*u**4 + 2*u wrt u?
48*j**3*u + 264*j*u - 48*u
What is the second derivative of 45*g**2*r**4 + 4*g**2 - 2*g*r**5 - 18*g*r wrt r?
540*g**2*r**2 - 40*g*r**3
What is the derivative of 628*j**3 + 997 wrt j?
1884*j**2
Differentiate -12*d**3*q**2 - 9871*d**3 - d*q**4 + 10*q wrt q.
-24*d**3*q - 4*d*q**3 + 10
What is the derivative of -10*c**3 + 16*c**2 - 66?
-30*c**2 + 32*c
What is the third derivative of -h**3*r**3 + 2*h**3 + 21*h*r**2 + 267*r**3 wrt r?
-6*h**3 + 1602
What is the second derivative of 222*l**5 - 3*l**3 - 188*l - 2 wrt l?
4440*l**3 - 18*l
Find the third derivative of 130*a**3 - 62*a**2.
780
Find the third derivative of 11*y**6 + 119*y**5 + y**3 + y**2 + 2872*y.
1320*y**3 + 7140*y**2 + 6
Find the third derivative of -a*k**2*r**3 + 3*a*k**2 - a*k*r**3 - 35*a*k*r**2 + 3*a*k - 81*a*r**3 wrt r.
-6*a*k**2 - 6*a*k - 486*a
Find the third derivative of 15*i*x**6 + i*x**3 + i*x**2 - 6*i*x - 28*x**5 + 2*x**2 - 8*x wrt x.
1800*i*x**3 + 6*i - 1680*x**2
Find the second derivative of -62*q**2 - 174*q.
-124
What is the second derivative of 3*f*g**3*h + f*g**2*h + 10*f*g*h + 10*f*h - 85*g**3 - 7*h wrt g?
18*f*g*h + 2*f*h - 510*g
Differentiate -3*x**4 - 104*x + 555.
-12*x**3 - 104
What is the third derivative of -2042*c**3 - 222*c**2 wrt c?
-12252
Differentiate 2*o*u**2 + 3*o*u - 45*o - u**2 - 16*u - 34 with respect to u.
4*o*u + 3*o - 2*u - 16
What is the second derivative of -279*o**3 - 720*o wrt o?
-1674*o
Find the third derivative of -30*x**5 - 2*x**4 + 24*x**3 - 3*x**2 - 2*x + 445.
-1800*x**2 - 48*x + 144
Find the second derivative of -d**5 + 36*d**2 - 1087*d wrt d.
-20*d**3 + 72
What is the third derivative of -2*f**4*v + f**3*v - f**2*v + 2*f*v + 8*f wrt f?
-48*f*v + 6*v
What is the derivative of 22*x**2 - 9*x - 7?
44*x - 9
Find the second derivative of 20*z**5 + 6*z**3 - 1913*z wrt z.
400*z**3 + 36*z
What is the first derivative of 5*v**4 + 52*v**3 - 856 wrt v?
20*v**3 + 156*v**2
What is the second derivative of -47*f**3 - 2*f**2*p**2*s + 4*f**2*s**2 + 16*f*p*s**2 + 4*f*s**2 - p**2*s**2 + p*s**2 wrt f?
-282*f - 4*p**2*s + 8*s**2
What is the second derivative of -5*k*o**2*y - 2*k*o*y - k*y - k + 33*o**2*y + o**2 - 9*o*y - 7 wrt o?
-10*k*y + 66*y + 2
Find the third derivative of 619*b**5 - 670*b**2.
37140*b**2
Find the second derivative of 3240*q**5 - 2*q**2 - 623*q - 1 wrt q.
64800*q**3 - 4
Find the second derivative of 14700*c**2 - 8624*c wrt c.
29400
Find the second derivative of -9638*d**5 - 966*d.
-192760*d**3
Find the second derivative of -n**5 + 77*n**4 - 143*n.
-20*n**3 + 924*n**2
Find the second derivative of -683*m**2*w**3 + 1542*m*w**3 wrt m.
-1366*w**3
What is the third derivative of 6283*c**6 + 14*c**2 + 21*c wrt c?
753960*c**3
What is the second derivative of 1753*c**4 + 1010*c?
21036*c**2
What is the second derivative of -5*b**2*u**2 + 545*b**2*u + b**2 + b*u + 1840*u**2 wrt b?
-10*u**2 + 1090*u + 2
Find the third derivative of -608*s**3 + 2*s**2 + 64*s.
-3648
What is the second derivative of 3*u**4 - 3*u**3 - 55*u**2 - 5472*u?
36*u**2 - 18*u - 110
Find the third derivative of -19019*o**3 + 5107*o**2 wrt o.
-114114
What is the third derivative of f**4*t**2 + 2*f**3*t**3 + 80*f**3 + f**2*t**3 + 122*f*t wrt f?
24*f*t**2 + 12*t**3 + 480
Find the third derivative of -3751*y**6 + 2*y**2 - 350*y - 1 wrt y.
-450120*y**3
Find the third derivative of -23*w**3 - 1880*w**2.
-138
What is the third derivative of 794*n**5 + 92*n**2?
47640*n**2
What is the third derivative of m**2*o**3 + m**2*o - 1227*m*o**6 - 2*o**2 - o wrt o?
6*m**2 - 147240*m*o**3
What is the first derivative of 7*o**4 + 10*o**3 - 175?
28*o**3 + 30*o**2
Differentiate 2*p**2 + 784*p - 587 with respect to p.
4*p + 784
What is the third derivative of -8*l**4 + 31549*l**2?
-192*l
What is the second derivative of -61*a**2*f**3*o - a**2*f*o**3 - 2*a*f**3*o - a*f**2*o**3 - 2*f**3*o - 16*f*o wrt a?
-122*f**3*o - 2*f*o**3
Find the third derivative of -64*k**4*u**2 + 2*k**3*u**2 + 7*k**2*u**2 + 7*k**2 wrt k.
-1536*k*u**2 + 12*u**2
Differentiate -94*m**2*t**2 + 3202*m**2 - m - 7*t**4 with respect to t.
-188*m**2*t - 28*t**3
What is the derivative of -3*k*r**2*t - 2*k*r + r**2*t + r**2 - 156 wrt t?
-3*k*r**2 + r**2
Find the third derivative of -61*c*k**2*s**3 + 5*c*k**2*s**2 - 6*c*k**2*u + 2*c*s**2 + 3*c*s*u - 3*k**2*s**3 + 2*s**3*u + s**2*u wrt s.
-366*c*k**2 - 18*k**2 + 12*u
Find the third derivative of -13*b**2*c**3 - 2*b**2*c*t + 2*b*c**2*l**2 + 2*b*c**2 + 2*b*l**2*t + 2*c**3*l**2*t + 2*c**3*t wrt c.
-78*b**2 + 12*l**2*t + 12*t
What is the third derivative of -103*i**6 + i**5 + 72*i**2 + 2?
-12360*i**3 + 60*i**2
What is the third derivative of -9*h*q**5 - 25*h*q**2 + 7*h + 3*q**5 + 4*q**3 wrt q?
-540*h*q**2 + 180*q**2 + 24
Find the third derivative of 36*b**3 - b**2 - 495 wrt b.
216
What is the first derivative of -969*b*i*n - 397*b + 5*i**3*n - 8*n wrt i?
-969*b*n + 15*i**2*n
Find the third derivative of v**4 - 914*v**3 + 451*v**2 + 3*v + 2.
24*v - 5484
Find the second derivative of 2090*k**2*s**2 + 2*k**2 + 4*k*s**4 - 127*k*s + 2*s**2 - 20*s - 1 wrt s.
4180*k**2 + 48*k*s**2 + 4
What is the second derivative of 4159*x**2 + 452*x - 2?
8318
Find the second derivative of 8*x**4*y**2 + 17*x**3*y**2 - 6*x**2 - 19*x*y**2 - 10*x wrt x.
96*x**2*y**2 + 102*x*y**2 - 12
Find the third derivative of u**6 - 5*u**4 + 46*u**3 - 8*u**2 + 5*u - 7 wrt u.
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of -x**4/6 - 29*x. Let q(s) = 3*s**2 + s. Give v(q(m)).
-18*m**4 - 12*m**3 - 2*m**2
Let q(m) be the second derivative of -m + 0 + 1/6*m**3 + 0*m**2. Let s(g) = 11*g + 8. Let v(t) = -4*t - 3. Let r(i) = -3*s(i) - 8*v(i). What is q(r(k))?
-k
Let p(o) = 147*o**2 - 4. Let z(h) = -3*h**2. Determine z(p(k)).
-64827*k**4 + 3528*k**2 - 48
Let a(t) = -3*t**2. Let m(p) be the second derivative of -p**3/2 - 2*p. What is a(m(y))?
-27*y**2
Let k(a) = -9*a. Let b(m) = 3253*m. What is b(k(h))?
-29277*h
Suppose 3 = -z + 5. Let j(s) = s + 3*s - z*s. Let l(a) = 2*a**2 - 2*a**2 + 2*a**2 - 3*a**2. Give j(l(q)).
-2*q**2
Suppose 0*z = 4*z. Let r(j) be the third derivative of 0*j + 1/12*j**4 + z + j**2 + 0*j**3. Let b(i) = -2*i**2. Give b(r(q)).
-8*q**2
Let l(o) = -3*o**2 + 7*o - 7. Let t(b) = 3*b**2 - 6*b + 6. Let a(h) = 6*l(h) + 7*t(h). Let z(d) = 2*d. Give a(z(g)).
12*g**2
Let k(u) = 2*u**2 - 41. Let f(g) = 6105 + g - 6105. Determine f(k(y)).
2*y**2 - 41
Let y(h) be the third derivative of -h**5/40 - h**3/2 - 2*h**2. Let z(f) be the first derivative of y(f). Let c(r) = -2*r**2. Calculate c(z(v)).
-18*v**2
Suppose -5*o - 2*m = -9, -3*m = -2*o + 5*o. Let w(p) be the first derivative of 0*p + 1/2*p**2 + o. Let s(t) = 2*t**2. What is w(s(b))?
2*b**2
Let k(u) = -2*u**2. Let r(b) = -17*b**2 - 6*b + 6. Let o(p) = 185*p**2 + 65*p - 65. Let a(v) = 6*o(v) + 65*r(v). Calculate k(a(f)).
-50*f**4
Let y(b) = -7*b**2 + 0*b**2 + 2*b**2. Let q(p) = p - 5. Let d(t) = 1. Let x(j) = 5*d(j) + q(j). Determine x(y(n)).
-5*n**2
Let z(g) = 2*g - 1187. Let q(c) = 11*c**2. Determine q(z(v)).
44*v**2 - 52228*v + 15498659
Let p(m) be the first derivative of 2*m**3/3 + 2. Let f(y) = -2*y**2. Determine p(f(j)).
8*j**4
Let t(u) = -3*u**2. Let j = 7 + -5. Let k(x) = 16*x - 16*x - j*x**2. What is t(k(i))?
-12*i**4
Let h(n) = 6*n**2 + 8*n. Let t(y) = -2*y. Calculate h(t(d)).
24*d**2 - 16*d
Let m(s) = 9*s**2 + 5*s + 5. Let h(t) = 4*t**2 + 2*t + 2. Let u(c) = -5*h(c) + 2*m(c). Let o(d) be the second derivative of -3*d**3 - 63*d. Give o(u(n)).
36*n**2
Let b(g) = 4*g**2. Let p(f) = -2*f**2 - f. What is p(b(t))?
-32*t**4 - 4*t**2
Let y(x) = 27*x. Let z(n) = 2*n. Calculate z(y(t)).
54*t
Let k(q) = -2*q**2. Let p(v) = 489*v**2. What is k(p(z))?
-478242*z**4
Let j(a) = 3*a + 15*a - 4*a - 7*a. Let t(z) = -5*z**2. Give t(j(u)).
-245*u**2
Let t(r) = 1602 + 0*r**2 - 1602 - r**2. Let k(i) = 11*i**2 + 14*i**2 - 6*i**2. What is k(t(q))?
19*q**4
Let n(l) = -89*l. Let c(x) = -18*x + 3. Calculate n(c(m)).
1602*m - 267
Let r(i) be the first derivative of 0*i**2 + 5/3*i**3 + 0*i - 7. Let x(n) = 2*n. Give r(x(q)).
20*q**2
Let v(p) = 3*p**2. Let a(s) = -27*s. Let i(h) = -135*h. Let j(t) = -24*a(t) + 5*i(t). Calculate v(j(k)).
2187*k**2
Let b(x) = 99*x + 55. Let w(j) = 7*j + 4. Let r(l) = -4*b(l) + 55*w(l). Let d(z) be the first derivative of z**2 + 57. Determine r(d(i)).
-22*i
Let h(r) = -4*r. Let a(c) = -c. Let f(o) = 6*a(o) - h(o). Let m(d) = 0*d**2 + 2*d**2 + 0*d**2. Calculate f(m(p)).
-4*p**2
Let u(a) = -16*a**2 - a**2 - 9*a**2. Let n(r) = r**2. Determine n(u(m)).
676*m**4
Let n(y) be the second derivative of y**4/12 + 5*y. Let t(s) = 6*s**2. Calculate n(t(z)).
36*z**4
Let q(t) = t + 4. Let w(r) = -r**2 - 5*r + 1. Let i be w(-5). Let c(a) = -4 + 5 + 2*a - a. Let j(x) = i*q(x) - 4*c(x). Let y(p) = -2*p. What is y(j(s))?
6*s
Let u(k) be the second derivative of 13*k**3/6 - 26*k. Let c(z) = 2*z**2. What is c(u(y))?
338*y**2
Let j(t) be the first derivative of t**2/2 + 20. Let o(y) = 22*y. Give j(o(v)).
22*v
Let u = -2 + 6. Let y(w) = 8*w - 2*w - u*w. Let r(d) = -4*d. Calculate r(y(x)).
-8*x
Let s(c) = 6*c**2. Let b(j) = -5*j. Determine b(s(h)).
-30*h**2
Let y(t) = t**2. Let q(k) be the second derivative of 0*k**3 - k**3 - 3*k + 0*k**3. Determine y(q(v)).
36*v**2
Let y(j) = j + 1. Let k(l) = -4*l + 26. Give y(k(a)).
-4*a + 27
Let b(r) = 2*r**2. Let m(p) = -2*p + 3*p + p. Let j(s) be the first derivative of 5*s**2 + 3. Let h(y) = 3*j(y) - 16*m(y). Give b(h(o)).
8*o**2
Let j(b) = -b**2. Let q(o) = -o**2 - 8*o - 8. Let x be q(-6). Let c(s) = 3 + 1 - x - s. What is j(c(v))?
-v**2
Suppose 11 = 5*r - 4. Let c(u) be the first derivative of 1/3*u**3 + 0*u - r + 0*u**2. Let v(a) = -a**2. Calculate v(c(m)).
-m**4
Let f(r) be the third derivative of r**6/180 - r**3/6 - 3*r**2. Let u(v) be the first derivative of f(v). Let g(b) = b. What is u(g(a))?
2*a**2
Let s(v) = -2*v**2 + 5*v. Let z(x) = 2*x**2 - 6*x. Let i(p) = -6*s(p) - 5*z(p). Let l(t) = 2*t**2. Calculate l(i(k)).
8*k**4
Let w(d) be the first derivative of -2*d**2 + 75. Let t(u) be the third derivative of u**4/24 + u**2. Give w(t(m)).
-4*m
Let p(q) = -54*q + 3. Let c(h) = 2*h. Give c(p(f)).
-108*f + 6
Let k(l) = -l. Let p(v) = 15*v**2 + 20. Let q(r) = -r**2 - 1. Suppose 2*t + 3 = 1. Let i(o) = t*p(o) - 20*q(o). Calculate k(i(b)).
-5*b**2
Let v(k) be the third derivative of -7*k**4/12 - 2*k**2. Let w(z) = z. Calculate w(v(f)).
-14*f
Let o(j) = j + 2*j + 2*j. Let x(b) = -b. What is o(x(z))?
-5*z
Let a(l) = l**2. Let p(u) = -3085*u. What is a(p(w))?
9517225*w**2
Let g(f) = -18*f**2. Let r(v) = 3*v**2 - 2*v**2 - 3*v**2. What is g(r(b))?
-72*b**4
Let g(u) = -26*u. Let h(p) = -22*p + 3. Calculate h(g(d)).
572*d + 3
Let t(k) = -k. Let l(f) = 5311*f. Calculate t(l(v)).
-5311*v
Let d(h) be the first derivative of 1/3*h**3 - 1/2*h**2 + 0*h + 2. Let r(l) = l**2 - 2*l. Let n(f) = -2*d(f) + r(f). Let x(s) = -s**2. What is x(n(c))?
-c**4
Let b(q) = 4*q**2. Suppose 2*a - a = 2. Let d(k) = -11*k**a + k - k + 13*k**2. What is d(b(f))?
32*f**4
Let g(c) = c. Let z(a) = 3*a. Let n(w) = -5*g(w) + 2*z(w). Let d(o) = 2*o**2. Calculate n(d(f)).
2*f**2
Let d(u) = -16*u**2. Let t(n) = 22*n**2. Give d(t(m)).
-7744*m**4
Let x(s) = 10*s**2 - 7. Let b(h) = 7*h**2 - 5. Let n = -5 + -2. Let f(k) = n*b(k) + 5*x(k). Let c(o) = o**2. Determine c(f(i)).
i**4
Let h(v) be the second derivative of -v**3/3 + 3*v. Let c(k) = 3*k**2 - 7*k + 7. Let u(j) = j**2 - 3*j + 3. Let q(y) = 6*c(y) - 14*u(y). What is h(q(t))?
-8*t**2
Let v(x) = 12*x**2. Let y(o) = -270*o. Calculate v(y(m)).
874800*m**2
Let j(c) = -c. Suppose -12 = -2*d - 2*d. Let z(a) = 2*a - d + 3. What is z(j(v))?
-2*v
Let n(l) = l. Let v(r) = 4*r. Let o be 0 + 0 + -1 - 2. Let y(h) = o*v(h) + 10*n(h). Let b(f) = -4*f + f + f. Determine y(b(a)).
4*a
Let t(k) = -11*k - 3. Let c(u) = -u**2. Determine t(c(y)).
11*y**2 - 3
Let m(f) = 465*f. Let l(u) = u**2. What is m(l(z))?
465*z**2
Let o(b) = 5*b + 4. Let r(j) be the second derivative of j**2/2 - 4*j. Let k(p) = o(p) - 4*r(p). Let q(t) = -2*t. Calculate k(q(c)).
-10*c
Let u(p) = -2*p**2. Let w(h) = h**2 + h + 4. Let i be w(0). Let z(b) = 5 - i - 2. Let j(s) = s + 1. Let y(d) = 4*j(d) + 4*z(d). What is u(y(f))?
-32*f**2
Let n(r) = 10*r. Let f(g) = 15*g. Give f(n(a)).
150*a
Let h(z) be the third derivative of z**5/60 + z**2. Let m(v) = -15*v - 9. Let s(k) = -7*k - 4. Let a(g) = 4*m(g) - 9*s(g). Determine h(a(y)).
9*y**2
Let x(r) = -5*r. Let w(p) = -36*p**2. What is x(w(m))?
180*m**2
Let m(u) = -u. Let z(q) = q**2 + 5*q + 2. Let g be z(-5). Let r(b) = 6*b - g*b - b - b. Calculate m(r(o)).
-2*o
Let u be ((-6)/2)/(4 + -5). Suppose -t + 12 = -3*x, -t - x - 9 = u*x. Let p(a) = -3 + t - 14*a**2 + 15*a**2. Let v(s) = 3*s. Calculate p(v(m)).
9*m**2
Let w(u) = 38*u**2. Let s(c) = 106*c**2. Give w(s(l)).
426968*l**4
Let b(c) = -c**2. Let u(t) = 18*t**2 + 12*t**2 - 14*t**2. What is b(u(j))?
-256*j**4
Let g(r) = -141*r**2. Let h(b) = -5*b**2. Give h(g(w)).
-99405*w**4
Let u(t) = 0 + 0*t + 5 + t. Let o(m) = m + 4. Let i(w) = 5*o(w) - 4*u(w). Let k(h) = 1. Let q(n) = -n - 1. Let l(y) = k(y) + q(y). Give i(l(r)).
-r
Let m(o) = 2*o - 2*o - 3*o**2 + 4*o**2. Let w(a) = -19*a**2. What is m(w(j))?
361*j**4
Let b(h) = 14*h - 35*h + 23*h. Let z(n) = -7*n - 5. Let j(x) = -8*x - 6. Let w(l) = -5*j(l) + 6*z(l). Calculate w(b(u)).
-4*u
Let m(j) = 407*j**2 - 143*j + 143. Let f(k) = -17*k**2 + 6*k - 6. Let l(n) = 143*f(n) + 6*m(n). Let g(b) = -b**2. Give g(l(c)).
-121*c**4
Let a(n) = -12*n**2. Let y(r) = r. Let s(p) = p. Let j(t) = s(t) + y(t). Calculate a(j(w)).
-48*w**2
Let i(x) = -26*x + 3. Let k(y) = 27*y - 4. Let m(r) = 4*i(r) + 3*k(r). Let g(b) = -9*b. Let h(c) = -5*c. Let j(s) = -4*g(s) + 7*h(s). Calculate m(j(z)).
-23*z
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ltiple of 128 and 736?
2944
Calculate the smallest common multiple of 300 and 1440.
7200
Find the common denominator of -19/444 and -25/2628.
97236
What is the smallest common multiple of 1512 and 11?
16632
What is the least common multiple of 156 and 118?
9204
Calculate the lowest common multiple of 3612 and 420.
18060
Calculate the lowest common multiple of 90 and 90.
90
What is the common denominator of 26/375 and 17/25?
375
What is the smallest common multiple of 42 and 77?
462
Calculate the smallest common multiple of 86 and 6.
258
What is the common denominator of 58/27 and -92/399?
3591
Calculate the common denominator of -137/30 and -62/645.
1290
Find the common denominator of -29/70 and -139/42.
210
Find the common denominator of 71/51 and 71/21.
357
What is the smallest common multiple of 40 and 20?
40
Calculate the least common multiple of 48 and 4088.
24528
Find the common denominator of -49/16 and 37/352.
352
Calculate the smallest common multiple of 430 and 215.
430
Find the common denominator of 101/20 and -61/245.
980
Calculate the lowest common multiple of 192 and 40.
960
What is the smallest common multiple of 370 and 9?
3330
What is the smallest common multiple of 2 and 11?
22
Find the common denominator of -43/3585 and -173/7170.
7170
Calculate the least common multiple of 7404 and 3085.
37020
Find the common denominator of -17/12 and 97/58.
348
Calculate the least common multiple of 3 and 78.
78
What is the lowest common multiple of 276 and 75?
6900
What is the common denominator of 139/3654 and 35/348?
7308
Calculate the common denominator of 137/798 and 95/126.
2394
What is the least common multiple of 388 and 11?
4268
What is the least common multiple of 14 and 8?
56
What is the smallest common multiple of 116 and 28?
812
What is the smallest common multiple of 136 and 44?
1496
Calculate the lowest common multiple of 6 and 43812.
43812
What is the lowest common multiple of 756 and 18?
756
Calculate the common denominator of 67/72 and -77/18.
72
Find the common denominator of 33/8 and 32/17.
136
What is the smallest common multiple of 636 and 152?
24168
Find the common denominator of -2 and -58/111.
111
What is the lowest common multiple of 14 and 1072?
7504
Find the common denominator of 85/1782 and -89/18.
1782
What is the least common multiple of 24 and 3110?
37320
Calculate the common denominator of 21/310 and 53/22.
3410
Calculate the least common multiple of 46 and 70.
1610
What is the common denominator of 86/15 and -34/555?
555
What is the least common multiple of 2 and 6672?
6672
Calculate the least common multiple of 27 and 147.
1323
What is the common denominator of -35/1068 and 107/18?
3204
Calculate the lowest common multiple of 96 and 32.
96
Calculate the common denominator of -5 and 8/9.
9
Calculate the common denominator of 3/28 and 77/108.
756
What is the lowest common multiple of 20 and 1966?
19660
What is the common denominator of -41/12 and 91/2?
12
What is the lowest common multiple of 1 and 2291?
2291
What is the smallest common multiple of 18 and 444?
1332
Find the common denominator of -47/368 and 53/184.
368
Find the common denominator of -29/140 and -1/52.
1820
What is the common denominator of 9/4 and -53/204?
204
Calculate the common denominator of -53/1125 and 41/20.
4500
What is the lowest common multiple of 4 and 271?
1084
What is the common denominator of 179/1080 and 109/450?
5400
What is the lowest common multiple of 7 and 15?
105
Find the common denominator of -101/12 and -107/288.
288
What is the common denominator of -14/243 and -8/45?
1215
Find the common denominator of 79/16 and -23/150.
1200
Find the common denominator of -48/35 and 115/868.
4340
What is the smallest common multiple of 210 and 14?
210
Find the common denominator of 59/740 and -3/740.
740
What is the common denominator of 25/76 and 69/124?
2356
Find the common denominator of 109/294 and 59/462.
3234
Calculate the lowest common multiple of 945 and 420.
3780
Calculate the lowest common multiple of 101 and 5.
505
What is the lowest common multiple of 24 and 612?
1224
Calculate the smallest common multiple of 20 and 28.
140
Calculate the smallest common multiple of 1408 and 2944.
32384
Find the common denominator of -63/248 and 79/14.
1736
What is the common denominator of -41/270 and -49/20?
540
Calculate the smallest common multiple of 18 and 10725.
64350
What is the common denominator of -86/21 and 13/519?
3633
What is the least common multiple of 4 and 1764?
1764
Calculate the least common multiple of 61 and 6.
366
Calculate the common denominator of 101/2072 and 103/140.
10360
What is the smallest common multiple of 580 and 20?
580
What is the common denominator of 111/10 and -3/4?
20
Calculate the lowest common multiple of 200 and 2450.
9800
What is the common denominator of 41/32 and -43/392?
1568
Calculate the lowest common multiple of 32 and 20.
160
Find the common denominator of 71/1035 and -44/105.
7245
What is the least common multiple of 3 and 44?
132
Calculate the common denominator of -2/55 and -103/270.
2970
Calculate the lowest common multiple of 8 and 1820.
3640
What is the lowest common multiple of 150 and 165?
1650
What is the lowest common multiple of 128 and 192?
384
What is the lowest common multiple of 507 and 12?
2028
Calculate the smallest common multiple of 28 and 49.
196
Calculate the common denominator of 29/41 and 47/6.
246
Calculate the smallest common multiple of 168 and 21.
168
What is the common denominator of 47/644 and -31/460?
3220
What is the common denominator of -81/8 and -1/249?
1992
Calculate the least common multiple of 15 and 150.
150
What is the smallest common multiple of 12 and 42?
84
What is the lowest common multiple of 87 and 3?
87
Calculate the smallest common multiple of 35 and 415.
2905
What is the common denominator of -25/2197 and 61/845?
10985
Find the common denominator of -151/6 and 113/17580.
17580
Calculate the lowest common multiple of 288 and 81.
2592
Calculate the least common multiple of 8 and 1530.
6120
Calculate the common denominator of 65/1104 and 31/192.
4416
What is the smallest common multiple of 1938 and 3230?
9690
What is the common denominator of 113/1480 and -21/370?
1480
What is the lowest common multiple of 906 and 7?
6342
What is the common denominator of -149/1284 and 79/10?
6420
What is the smallest common multiple of 1596 and 228?
1596
Find the common denominator of 43/12 and -73/399.
1596
Calculate the common denominator of -2/149 and -127/6.
894
Calculate the smallest common multiple of 1 and 1.
1
Find the common denominator of -7/30 and 35/528.
2640
Find the common denominator of 81/44 and -43/44.
44
What is the least common multiple of 132 and 96?
1056
Find the common denominator of -169/8490 and -173/30.
8490
What is the lowest common multiple of 315 and 24?
2520
What is the least common multiple of 10 and 3?
30
Find the common denominator of -157/180 and -5/6.
180
Calculate the smallest common multiple of 308 and 168.
1848
What is the smallest common multiple of 54 and 18?
54
Calculate the smallest common multiple of 4 and 18.
36
Find the common denominator of 59/10 and -2/25.
50
Calculate the lowest common multiple of 930 and 24.
3720
What is the lowest common multiple of 4 and 1996?
1996
What is the common denominator of -2/21 and -71/132?
924
What is the common denominator of -103/102 and -121/30?
510
Find the common denominator of 58/5 and -68/375.
375
Find the common denominator of -87/4 and 59/2.
4
What is the common denominator of -107/670 and -19/25?
3350
What is the common denominator of -3/8 and 107/348?
696
What is the smallest common multiple of 18 and 123?
738
What is the least common multiple of 8 and 9?
72
What is the common denominator of 38/39 and -23/30?
390
What is the common denominator of -79/548 and 107/20?
2740
What is the least common multiple of 130 and 2?
130
Calculate the least common multiple of 3500 and 500.
3500
Calculate the common denominator of -44/127 and 26/5.
635
Calculate the least common multiple of 48764 and 9.
438876
Calculate the common denominator of -4/29 and 51/2.
58
Calculate the common denominator of 37/300 and -94/525.
2100
Find the common denominator of -125/2124 and -19/156.
27612
|
{
"pile_set_name": "DM Mathematics"
}
|
135
What is the value of (630/(-8))/((-12)/8) + 177/118 + -1?
53
What is ((-4)/(-10))/(20 + 72*2*(-5)/30)?
-1/10
(-988)/(-3648)*-10*75/(-3250)
1/16
Calculate (-24 - -102) + (-52 - -96).
122
45 - (-77*(-20)/220 + (-42)/(5 + -2))
52
What is the value of 130/(-16)*1260/3150?
-13/4
What is the value of 3231/(-39) + (5/2)/((-9295)/572)?
-83
(0 - 8/3)*29939/(-9776)*(-12)/21
-14/3
Calculate 3236/(-28315) - (-6448)/70.
92
What is (4 - 1)*-1*((-8500)/612*3 + 3)?
116
Evaluate (520/(-30))/((-104)/(-78)) - 152/(-10).
11/5
What is 57/(8 - (-70)/28)?
38/7
What is the value of (259/(75110/(-16)))/((-4)/(-10))?
-4/29
What is the value of 28304/(-671) - (2 + 2) - -6*(-4)/(-132)?
-46
Calculate (-2)/93 + 1587370/(-2039025).
-4/5
Evaluate (930 - 941)*(6856/41712 + (-2)/12).
2/79
Calculate (-163)/(-326)*(-2 + (-21)/(-6)).
3/4
((-3656)/(-992) + (-438)/(-6789))*40/3
50
Evaluate ((-3)/2)/((-124890)/(-3620)).
-1/23
What is the value of 2/(-37)*(-22)/((-4268)/291)?
-3/37
Calculate (-698)/2094 + (-80)/(-285).
-1/19
(-2)/136*((-2079)/105 - 760/(-200))
4/17
What is the value of 5 - ((-17716)/(-2163))/((-2)/(-21))?
-81
Evaluate (34/255)/(13*11/12870).
12
(20 - 372/18)*-44*(-21)/56*1
-11
What is the value of ((-2145)/12870)/((-1)/(-132))?
-22
(-32)/(-464) + (-1232)/(-5684)
2/7
What is the value of (-2)/2 - (14 - 50*(-2006)/(-1475))?
53
Evaluate (-17)/((-10353)/42) + (-14)/(-638).
1/11
Evaluate 18043 - 17970 - (-129)/(-2).
17/2
Evaluate (-4970)/(-639)*(-243)/45.
-42
What is (-73)/(-30) - ((-1)/11)/(1164/2134)?
13/5
What is (-142 + 243)/1515 + (-8)/(-20) + 0 + -1?
-8/15
Calculate (-24)/(-210)*(-3297)/(-2512).
3/20
Evaluate (-84)/2940*(-47005)/17.
79
What is the value of 18/(61 - (-7960)/(-130)) - (-21 + -2)?
-55
Calculate (-6 - -4) + (-32)/(-24) + (-76)/3.
-26
8/10*94875/3450
22
What is the value of ((2/56)/(198/396))/(10/7)?
1/20
What is 11/(-20)*(-2030)/56 - (-10)/160?
20
((-5)/2)/((-281105)/15333)
3/22
(300/1560)/(460/1472)
8/13
What is the value of ((-66)/24)/((-14)/(2*1) - (-1628)/296)?
11/6
Calculate 29130/165 + -77 - 6/11.
99
Calculate -26 - (-7 - 9) - (-260)/25.
2/5
What is 443/(-4873)*(-22)/(-16)?
-1/8
What is (4520/320 + -16)/(9/(-360))?
75
What is the value of 7/2*(-4 - (-170)/42)*(-163 + 160)?
-1/2
Calculate 440/(-63) + (0 + -42)/(-6).
1/63
Calculate (-7)/5 + 1 - (91104/(-1460) - (3 + -30)).
35
(447/1639 + 26/66)/(4/90)
15
78/112 + (90 - 37492/416)
4/7
(4/1347)/(-41 - (-847)/126*6)
-2/449
Evaluate (-2)/((-18)/3024*8 - 158/(-1554)).
-37
Calculate (6895/4137*((-10)/(-4) + -3))/(2/276).
-115
Evaluate ((-486)/(-24) - 20 - (-15)/12)*38/3.
19
Evaluate 48/(-60) + (-3243)/(-235) - -12.
25
What is 9/((-450)/(-2920)) - 18/(-180)*6?
59
Evaluate ((-1042)/7815 - 416/30)*12/(-14).
12
28/42 + (-13310)/1452
-17/2
Calculate (-975240)/(-12420) - (-468)/(-6).
12/23
Evaluate ((-1)/3)/(16755/3719610).
-74
What is the value of ((-42273)/1134 - (-6)/(-27))*(-8)/4?
75
What is (0 - (-27 - -28))*(13 - -3)*1?
-16
What is 292/126 - ((-91)/((-40131)/(-6573)) + 2 + 13)?
20/9
Evaluate 93/62*((-1920)/(-3195))/(-32).
-2/71
(-2)/(-4)*(11300/(-113) - -146)
23
Evaluate (-6 + 204/30)*(920/224)/23.
1/7
Calculate ((-8)/360)/((-216)/(-5832)).
-3/5
Calculate 41/56 + 372/(-465) + (-138)/(-35) + -3.
7/8
6/345 - 167/(-835)
5/23
What is the value of (45 - 125426/2790)*(1 + 198 + 1)?
80/9
Calculate 1476/(-42) - ((-9)/((-630)/(-1060)) - -16).
-36
What is ((-43171)/1877)/(2/4)?
-46
What is the value of ((-22504)/970 - (-24 - 0))*((-32)/36 - 3)?
-28/9
Evaluate ((-36)/27*30/540)/(122/30 + -4).
-10/9
Calculate (3163/28467)/(2/(-72)).
-4
What is 4164/7634 + (-1148)/2145?
2/195
Calculate 615/(-4) - 131355/(-15012).
-145
Evaluate 128/(-120)*(-66)/1232.
2/35
Evaluate (1/7)/(62 - (-7821)/(-126)).
-2
Calculate 60/(-52)*1616/(-12120).
2/13
Evaluate (-19 + 124/6)*9 - (4 + 2).
9
Evaluate ((-1632)/23868)/((-30)/25 + 1 - (-7)/(-15)).
4/39
What is (3*(-2)/(-18))/((21 + -10)/(-165))?
-5
What is (1 + (-330)/660)/((-74)/12)?
-3/37
Calculate 11 - (221 - 224 - 10/5*1).
16
Evaluate 76/20 + 51/255 + (-41)/9.
-5/9
Calculate ((-518)/(-126) - (0 - -4)) + (0 - (-5320)/(-252)).
-21
Evaluate 352/(-4400)*95/874.
-1/115
What is 522/(-39) - 126/35*130/(-39)?
-18/13
3332/(-30) + ((-1070)/321 - (-2)/(50/85))
-111
Calculate (2/10)/((-4)/(-390)) - (-221)/(-442).
19
Calculate (-12*(-2)/(-15))/((-1809)/(-4824)*4/45).
-48
Evaluate (-3)/4*618/3708.
-1/8
What is (-13040)/815 - (0 + -110)?
94
What is the value of (-1 - 2)/(58/29*(-111)/(-6))?
-3/37
What is (45/(-12))/(2/8) + 631/42?
1/42
What is the value of 10/(-228) - (90/15 - -1 - (-82)/(-12))?
-4/19
Calculate 96*(-48 + 386/8).
24
Evaluate 3/(-2)*(-64)/(-672)*((-2850)/(-25))/19.
-6/7
14/56 - (12/4)/(10 - 70/(-14))
1/20
Evaluate (-370)/80 + ((-1)/3)/(37/(-555)).
3/8
Evaluate 2196/(-2106) + (-1336)/(-13026)*6/4.
-8/9
(-2505438)/(-215946) - 8/124*-1
35/3
((-1575)/13860)/((20/18)/(96/(-72)))
3/22
What is 5 - ((-1088)/16 - (-51)/3)?
56
Calculate -36 - (-43 + (-31 - -60)).
-22
Calculate 241 - 239 - (0 + 84/(-1710))/(3/(-120)).
2/57
Evaluate ((-51)/(-119) - (-39)/(-189))/(71/10863).
34
Calculate (18 - 20230/1120)*-100.
25/4
(-2)/(-4) + 15/2 + 1989*272/31824
25
(-945)/4305*4/(-36)
1/41
Evaluate ((-92)/7)/(((-16000)/(-700))/(-80)).
46
What is the value of ((-2)/(-9) - 550/585)*3480/2320?
-14/13
Calculate (-7 + (-460)/(-18) + (-1440)/80)/((-130)/(-45)).
5/26
Evaluate (-172)/(-611) + (-36 - -2 - 531080/(-15691)).
6/47
(-5)/4 - (-25695)/11420
1
Calculate 11040/2576 + (2/(-11) - 14/(-77)).
30/7
What is 1/19*930 + 2570/48830?
49
Evaluate (-24)/564 + 24/(-14 - (-136860)/275).
2/283
What is 31 - (-20 + 36 + (-39)/3)?
28
Calculate 91 + (137 - (-10096)/(-44)).
-16/11
Calculate (-28)/322 - (24775/(-575) - -27).
16
Calculate (-4356)/(-121) - -15*20/(-15).
16
Calculate (-41)/((-902)/(-308)) - (334/(-6) + 5).
110/3
What is (72/300)/(361/9025)?
6
What is 22*2*57564/(-35178)?
-72
Evaluate (-2021)/16770 - (-30)/(-900).
-2/13
(6493/(-604) - 3/(-4))*46/(-20)*2
46
4/15*-3 - (-98 + 42 - -51)
21/5
Calculate -2 + 19 + 229 + -191.
55
What is the value of (2*88317/(-5400) - -33) + (-1)/4?
1/25
Calculate (-19 - -25) + (-594)/(0 - -22).
-21
24/9*(2574/2200 - 9/675*-6)
10/3
Calculate (75 - (211 + -173)) + 7322/(-198).
2/99
What is 0 + ((-4514)/222 - 20/(-30))?
-59/3
Calculate -14 - 8/(-18)*(-16731)/(-338).
8
Calculate ((-15)/23)/((-184385)/147508).
12/23
What is the value of (60/110)/((-2)/7 - (-91739)/306460)?
40
3436/8590*-2*(-5)/6
2/3
Calculate 25*29/4350 + (-4 - 1410/36).
-43
29480/(-4620) - 9/6*8/42
-20/3
Calculate 18*(6/(-10))/((-2007)/(-2230)).
-12
((-3)/63*-81)/(161/3381)
81
Evaluate 5/(-10)*((-37776)/624 - -61).
-3/13
What is the value of ((65/(-10))/(25 + -29))/((-36)/(-576))?
26
(20 - 19)*(-165 + 97)
-68
What is (6 + (-3)/6)*(168 - 154)?
77
What is (1510/(-45) + (-22)/(-99))*(-45)/60 + -3?
22
(242190/(-1932))/(-65)*-28
-54
(13416/166023)/(((-40)/(-18))/(-10))
-4/11
Calculate ((-1880)/658)/(144/(-56)).
10/9
Calculate (-360)/3510*39*-30.
120
Calculate ((-7)/84*-6)/((-14)/4*(-96)/(-448)).
-2/3
What is the value of (2 - -4 - (-434)/(-60)) + 128/(-768)?
-7/5
What is ((-123)/(-82) + (-23)/14)/((-63)/294)?
2/3
Calculate -18 - 12*(-437)/304.
-3/4
Calculate (0 - 0) + (-52)/(-8)*-58*(-20)/4060.
13/7
What is the value of 6 + (-188)/30 - (14 + 152/(-20))?
-20/3
Calculate -27 - ((18 - 15) + 2) - 42.
-74
Calculate -53 + 17 + 87 + -34.
17
Calculate (795 - 797)*1/((-4)/(-46)).
-23
Calculate -2*2*(250/56 + -50 + 45).
15/7
(-12368)/29971 + (-1720)/(-5848) + (-4)/(-82)
-3/43
What is the value of (4725/(-560) - 1/16)*((-65)/(-45) + -1)?
-34/9
Evaluate ((-2222)/909)/((-11)/90).
20
3 - (3/2)/(331793/11858 - 28)
80
Calculate 2/(7 + (-1799)/259) - -24*(-8)/(-16).
49
(9254/(-5288))/(-7*1) - ((-1130)/(-72))/5
-26/9
What is (165/(-1210))/((-24)/(-192))?
-12/11
Evaluate (4 + -7)/54 - 67/402 - 1418/18.
-79
(-343)/5 - ((-4779)/153 + 31)/((-20)/34)
-69
Calculate -2*((-4)/(-10))/((-298)/(-2235)).
-6
What is the value of -26*23/(-2691) + ((-9)/72 - (-878)/(-144))?
-6
Evaluate 9 - (2/((-8)/194) - (-3)/186*-155).
60
What is (2 - 4) + 155822/32081?
20/7
Calculate (5 + -4 + -151)*(-5351)/(-10702).
-75
Evaluate 87*8/(-4)*(12*14/(-56))/9.
58
4/(-20)*(-10)/(-4)*(138 - 140)
1
Calculate 6*6/(-972) + -18 + (-10797)/(-648).
-11/8
What is the value of -4*(352/11
|
{
"pile_set_name": "DM Mathematics"
}
|
the common denominator of -55/10388 and 43/16.
41552
Calculate the least common multiple of 152 and 1102.
4408
What is the common denominator of 95/4 and -71/15?
60
Calculate the common denominator of 31/17 and -97/2.
34
Find the common denominator of -10/133 and 63/152.
1064
Calculate the smallest common multiple of 1275 and 165.
14025
Calculate the least common multiple of 27 and 36.
108
What is the common denominator of 107/2124 and 49/162?
19116
What is the common denominator of -115/66 and -163/210?
2310
Calculate the lowest common multiple of 14 and 28.
28
What is the least common multiple of 1239 and 1357?
28497
Calculate the least common multiple of 14 and 82.
574
Calculate the lowest common multiple of 7 and 6.
42
What is the lowest common multiple of 55 and 5?
55
Calculate the smallest common multiple of 705 and 35.
4935
What is the smallest common multiple of 272 and 126?
17136
What is the least common multiple of 485 and 50?
4850
What is the common denominator of -151/102 and 163/90?
1530
Calculate the common denominator of 19/335 and -43/3.
1005
Find the common denominator of 23/1249 and -16/5.
6245
What is the common denominator of -47/91 and 85/806?
5642
What is the common denominator of 13/517 and 54/611?
6721
Find the common denominator of -71/72 and -97/102.
1224
What is the common denominator of -19/16 and 53/148?
592
Find the common denominator of 27/68 and -101/282.
9588
Calculate the least common multiple of 15 and 231.
1155
What is the least common multiple of 75 and 45?
225
What is the smallest common multiple of 4 and 10?
20
What is the common denominator of -107/90 and 67/72?
360
Calculate the common denominator of -83/26 and -37/132.
1716
What is the smallest common multiple of 448 and 560?
2240
Find the common denominator of -31/990 and -161/264.
3960
What is the smallest common multiple of 3 and 416?
1248
What is the common denominator of -31/30 and 109/2094?
10470
What is the smallest common multiple of 27 and 1749?
15741
Calculate the common denominator of 47/108 and 23/24.
216
What is the smallest common multiple of 18 and 2?
18
Calculate the common denominator of -41/1064 and -29/252.
9576
What is the common denominator of -29/45 and -43/60?
180
What is the least common multiple of 9 and 125?
1125
Find the common denominator of 63/52 and 4/65.
260
Find the common denominator of -50/429 and 61/15.
2145
Find the common denominator of 119/18 and 149/228.
684
Calculate the smallest common multiple of 190 and 209.
2090
What is the common denominator of 105/52 and 161/156?
156
Calculate the common denominator of -91/88 and -85/176.
176
Calculate the common denominator of -143/6 and 37/1914.
1914
Calculate the least common multiple of 1170 and 360.
4680
Calculate the common denominator of 131/12 and 95/118.
708
Calculate the common denominator of 31/330 and -11/40.
1320
What is the smallest common multiple of 156 and 12?
156
Calculate the common denominator of -31/40 and -11/768.
3840
What is the smallest common multiple of 704 and 20?
3520
Calculate the common denominator of -49/8 and -27/12238.
48952
Calculate the least common multiple of 1377 and 54.
2754
Calculate the common denominator of 145/498 and 17/913.
5478
Find the common denominator of 105/1156 and -91/340.
5780
What is the common denominator of 55/84 and 83/42?
84
Calculate the common denominator of -103/72 and -31/177.
4248
Calculate the smallest common multiple of 2401 and 35.
12005
What is the smallest common multiple of 233 and 10?
2330
Calculate the smallest common multiple of 4 and 204.
204
Calculate the least common multiple of 865 and 4.
3460
Calculate the least common multiple of 120 and 16.
240
What is the smallest common multiple of 9 and 9237?
27711
Calculate the least common multiple of 7857 and 8730.
78570
Calculate the common denominator of 39/71 and -11.
71
Calculate the lowest common multiple of 4953 and 27.
44577
What is the least common multiple of 28 and 2058?
4116
What is the common denominator of -7/9 and 23/18?
18
Find the common denominator of 67/63 and 43/3.
63
What is the least common multiple of 441 and 735?
2205
What is the common denominator of 115/2548 and 113/1092?
7644
Find the common denominator of -43/88 and 75/26.
1144
Calculate the common denominator of -55/3 and -39/5.
15
What is the lowest common multiple of 135 and 21?
945
What is the smallest common multiple of 30 and 66?
330
Find the common denominator of 69/124 and 87/496.
496
Calculate the common denominator of -12/5773 and -94/3765.
86595
What is the smallest common multiple of 320 and 400?
1600
Find the common denominator of -1/304 and 13/1026.
8208
What is the least common multiple of 11954 and 7?
83678
Find the common denominator of 53/5 and -41/452.
2260
What is the lowest common multiple of 80 and 100?
400
Calculate the smallest common multiple of 2 and 115.
230
What is the lowest common multiple of 1390 and 16?
11120
Calculate the lowest common multiple of 84 and 588.
588
Calculate the lowest common multiple of 476 and 7.
476
Calculate the lowest common multiple of 1768 and 1976.
33592
What is the common denominator of 149/834 and 179/60?
8340
Find the common denominator of -89/4 and 52/81.
324
What is the least common multiple of 258 and 215?
1290
Calculate the common denominator of -55/21 and -25/768.
5376
What is the common denominator of 35/306 and 31/51?
306
Calculate the common denominator of -47/10 and -51/1004.
5020
Calculate the common denominator of 65/183 and 41/1647.
1647
Calculate the common denominator of -19/10738 and 95/3068.
21476
What is the smallest common multiple of 1243 and 1017?
11187
Calculate the common denominator of -24 and 59/10.
10
Calculate the common denominator of 29/114 and -41/111.
4218
What is the least common multiple of 1265 and 920?
10120
Find the common denominator of 36/217 and -61/9.
1953
Find the common denominator of -103/54 and 47/90.
270
Find the common denominator of -69/914 and 41/26.
11882
Find the common denominator of -117/20 and 45/896.
4480
What is the lowest common multiple of 5 and 50?
50
Calculate the smallest common multiple of 148 and 814.
1628
What is the smallest common multiple of 928 and 16?
928
What is the least common multiple of 136 and 72?
1224
What is the common denominator of 83/120 and -149/390?
1560
What is the lowest common multiple of 1254 and 1140?
12540
Calculate the common denominator of -13/258 and 127/90.
3870
Calculate the smallest common multiple of 17432 and 16.
34864
What is the common denominator of 7/366 and -20/671?
4026
What is the common denominator of -65/794 and -55/14?
5558
Calculate the lowest common multiple of 1224 and 3060.
6120
Calculate the common denominator of -31/3036 and -3/2.
3036
Find the common denominator of 47/518 and 53/686.
25382
Find the common denominator of 7/6 and -52/4601.
27606
Calculate the common denominator of -4/7 and -44.
7
What is the common denominator of 73/312 and -71/768?
9984
What is the common denominator of -5/16 and -33/16?
16
What is the smallest common multiple of 150 and 240?
1200
Calculate the common denominator of 107/10 and 23/84.
420
What is the smallest common multiple of 52 and 10?
260
What is the common denominator of 155/348 and -17/6?
348
Calculate the common denominator of 107/72 and -43/112.
1008
What is the smallest common multiple of 46 and 920?
920
Calculate the smallest common multiple of 54 and 51.
918
Calculate the common denominator of 1/2 and -149/108.
108
Calculate the smallest common multiple of 2 and 68.
68
Find the common denominator of 3/14 and -27/352.
2464
What is the smallest common multiple of 216 and 8?
216
What is the least common multiple of 309 and 732?
75396
Calculate the lowest common multiple of 147 and 483.
3381
Calculate the common denominator of 29/707 and -1/92.
65044
What is the lowest common multiple of 5 and 174?
870
Calculate the smallest common multiple of 363 and 165.
1815
Calculate the common denominator of -81/140 and -91/15.
420
What is the lowest common multiple of 24 and 17523?
140184
Calculate the common denominator of 37/14 and 103/870.
6090
What is the lowest common multiple of 3 and 171?
171
Calculate the least common multiple of 727 and 6.
4362
What is the smallest comm
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -3 prime?
False
Let b(m) = 585*m + 11. Let q(s) = -s**3 + 13*s**2 - s + 15. Let l be q(13). Is b(l) composite?
False
Let l = 302 - 298. Suppose 2*o + 3*w - 17810 = 0, 0 = 5*o - l*w - 29151 - 15328. Is o prime?
False
Let q(j) = -3*j - 53. Let a be q(-20). Suppose -4*o = -a*o + 11127. Is o prime?
True
Suppose -979*f + 993*f - 49667 - 158219 = 0. Is f a prime number?
False
Suppose -2*v + 29668 = 4*b - 46638, -4*b = 4*v - 152604. Is v composite?
False
Let s(b) = 70*b**2 - 10*b + 3. Suppose -2*z = 2*l - 14, 2*l + 0*l = 2*z - 10. Suppose z*h - 16*h = -20. Is s(h) a composite number?
False
Suppose -3*d - 3 = 0, 3*d - 2633 = 2*c + 1458. Let o = c - -7986. Is o a composite number?
False
Let v(i) = -2435*i + 59. Suppose 72 = -12*w - 0*w. Is v(w) composite?
False
Suppose -10 = 2*s, -a - 12 = a + 4*s. Suppose 20*n + 4*o - 1023 = 19*n, 2058 = 2*n - a*o. Is n prime?
False
Is (-15)/(-90)*4*5768259/14 prime?
True
Suppose 0 = 2*a - 4*x - 139506, -5*a - 5*x + 139542 = -3*a. Is a a composite number?
False
Suppose -5*i + 18412 = 10127. Let s = -15 + 23. Suppose s*g - 9705 = -i. Is g composite?
True
Suppose 23904 = 4*r - 10*r. Let i = r - -8375. Is i composite?
False
Let u(h) = -h**2. Let w(c) = -c**3 + 2*c**2 - 4*c + 989. Let v(b) = u(b) + w(b). Is v(0) composite?
True
Let s = 2617592 + -1119625. Is s composite?
True
Let t = 4412 + -2444. Suppose -t = 26*m - 7454. Is m a composite number?
False
Suppose 417*g - 415*g - 227686 = 0. Is g prime?
True
Let n(d) = -391848*d - 193. Is n(-3) composite?
False
Suppose 2*z - 1435510 = -2*q, -4*q = -3*z + 842889 + 1310376. Is z a composite number?
True
Is (517/3 - 1)/(560/126840) a composite number?
True
Suppose 192*r - 2749022 - 13174306 = 0. Is r composite?
True
Let y(n) = -n - 2. Let k be y(0). Let u(l) = 725*l**2 + 6*l + 9. Is u(k) prime?
True
Suppose 867 + 38 = -5*k + 3*z, k + 3*z + 163 = 0. Let w = k + 759. Is w a composite number?
True
Suppose -k + 2723 = -6344 - 1716. Is k a prime number?
False
Let i = 5921 + 13740. Is i a prime number?
True
Suppose 0 = -4*o + 3*g - 12, o - 2*g = -g - 4. Suppose -4*n + 11835 = 3*p, o*n + 3 = n. Is p a prime number?
False
Let q = 3 + 0. Suppose -h + 3*h = 2*g + 510, q*g = 6. Suppose -5*z + h + 378 = 0. Is z prime?
True
Let s(d) = 2092*d**2 - 4*d + 499. Is s(10) prime?
True
Suppose 5*d = 151 - 211. Is 1404 + (-3)/(d/(-20)) a composite number?
False
Let n = 125588 - 83109. Let p = n + -11118. Is p a composite number?
True
Let d = -52 - -54. Suppose -4*b = -d*z - 16, 2*z = -4*b - z + 36. Suppose 0 = -2*g - 2*a + 1788, a - 3531 = -4*g + b*a. Is g a composite number?
True
Is -172*(6957/(-4) + (-500)/(-200)) composite?
True
Let n be 11/22 + 21/6. Suppose -g + 14973 = -n*q + 2*q, -59907 = -4*g + 5*q. Is g a composite number?
False
Let c = 134606 - -126615. Is c prime?
False
Let g be -15*17/(170/12). Let v(p) = -2*p**3 + 24*p**2 + 40*p + 23. Is v(g) composite?
False
Let q(l) = l**2 + 16*l + 50. Let n be q(-12). Suppose -23 = -4*i - w, -5 = -3*i - i + 5*w. Suppose 0*g + n*h + 5604 = 4*g, 0 = -i*h - 20. Is g prime?
True
Let b = 660566 + 341439. Is b a composite number?
True
Suppose -7*v = -3*v + 296. Is ((-1)/((-1)/v))/((-32)/176) a prime number?
False
Is ((-48)/128 - (-11)/40)*-1518410 a composite number?
False
Let j(c) = 15*c**2 - 4*c - 2. Let q = -42 + 39. Is j(q) a prime number?
False
Let l be 8 + -1 + -2*(-6)/(-4). Let n be -1 + 1 - l - (-60172)/49. Let b = 2059 - n. Is b composite?
True
Suppose -4*o - 2*j = -2093196, -o - 41149 + 564442 = -j. Is o a composite number?
False
Let k(y) be the second derivative of -y**3/2 + 7*y**2 - 8*y. Let h be k(4). Suppose 0*c - h*c = -322. Is c prime?
False
Let t = -671 - -10082. Is t a prime number?
False
Let f = -1130 - -1689. Suppose f = -4*l + 3843. Is l composite?
False
Let p(q) = -9659*q + 285. Is p(-8) composite?
False
Let k be (-3)/(-15)*145 - -3. Suppose -3*f = -k*f + 735469. Is f a composite number?
True
Suppose r - 5801 + 2222 = 0. Suppose 5129 = 4*z - r. Is z composite?
True
Let q be ((-242)/6 + 1)/((-12)/4194). Suppose 2*g = x - q, -4*g = 5*x - x - 54976. Suppose 0 = -16*p + 8607 + x. Is p a prime number?
False
Suppose -15 = -5*a, -8*a - 3690 = 4*y - 6*a. Suppose 2790 = 2*s - 0*h - 4*h, 3*s + 3*h = 4176. Let t = s + y. Is t a prime number?
False
Suppose 10*o - 24 = 6*o. Let f(l) = 3 - 27*l + o - 8 - 9. Is f(-10) prime?
False
Let b be (-2)/3 + (-52791)/(-9). Suppose 0 = -4*d - 5*p + 3923, 2*p - 986 = 5*d - b. Is d composite?
False
Let b = 497 - 237. Suppose -1319 = -5*h + 4*k, h = 6*k - 9*k + b. Is h a prime number?
True
Is ((-505244)/14)/((-470)/1645) composite?
False
Suppose 2*u + 10 = 0, 3*i + 3*u = 8*i. Let z(b) = 38*b**2 + 5*b + 2. Let l(f) = 113*f**2 + 14*f + 5. Let a(v) = 6*l(v) - 17*z(v). Is a(i) prime?
False
Let m(g) be the second derivative of 14*g**3 - 11*g**2/2 - 36*g. Let f(a) = -a**3 - 6*a**2 + 6*a + 2. Let r be f(-7). Is m(r) prime?
False
Let p(z) be the first derivative of 479*z**2 - 33*z - 68. Is p(4) a composite number?
True
Suppose n - 3*v + v + 11 = 0, 4*n + 38 = 2*v. Is 4/14 - ((-606792)/84 + n) a prime number?
False
Let o = 592 + -587. Is -3*1*(13188/(-18) + o) composite?
True
Suppose -18 = -3*y + 9. Suppose z = -0*f + 3*f + 37868, -3*z + 50484 = -4*f. Is 1 + f/(-9) - 6/y prime?
False
Let k = 22898 - 6299. Suppose -394*d = -397*d + k. Is d prime?
False
Let s(a) = 50*a + 172. Let m be s(-8). Is 4/(-38) + 1116/m + 3240 prime?
False
Let q(w) = 64*w**2 - 295*w - 120. Is q(-43) a prime number?
False
Is ((-2)/(-6 - -4))/(5/571035*3) a prime number?
True
Let x = -17588 - -61101. Is x a composite number?
True
Let g be (41 + -1)*84/(-112). Is 12/10*g/(-9) - -2211 a prime number?
False
Suppose 0 = -2*a - 4*v + 257106, a + 29*v - 28*v - 128551 = 0. Is a a composite number?
False
Suppose 3*z - 6*z + g = 85, -g - 5 = 0. Let r be 5/(z/4) + (-69)/(-9). Suppose 6*v = r*v - 19. Is v a composite number?
False
Suppose -l + 196314 = -2*t + 6*t, 5*t - 245399 = 2*l. Suppose -6*a + 11*a + 16351 = j, 2*a = 3*j - t. Is j prime?
True
Is 4/(6 + (-2764432)/460744) composite?
False
Suppose 330 = -21*k + 330. Suppose k = 14*o - 23*o + 5229. Is o composite?
True
Suppose 3*u = -9*g + 307947, -20*g + 22*g - 102655 = -u. Is u composite?
False
Let b(g) = 77*g - 47. Suppose 2*t + 5*r = 23, -4*t + 6*t + 2*r - 26 = 0. Is b(t) prime?
True
Let k be (-166605)/(-58) - (-1)/2*1. Let o = k - 540. Is o prime?
True
Let a = 2469780 + -1071187. Is a prime?
False
Let g be ((-9)/(-6))/((-6)/(-40)) - 5. Suppose 0 = g*t + 5*x - 29870, 8*t + 11943 = 10*t + x. Is t a composite number?
True
Let f(o) = -4*o**3 - 6*o**2 + 11*o - 9. Let c be f(-9). Let x = -751 + c. Is x prime?
True
Let q = 577 + -6209. Let i = q + 11103. Is i a prime number?
True
Suppose -3*y = -p - 394975, 3*y - 394955 = 4*p - 8*p. Is (-3)/((-33)/y) - (-198)/1089 a composite number?
False
Is 3049914/(-15)*55/(-22) a composite number?
True
Let l(m) = 28846*m + 4559. Is l(2) a composite number?
True
Suppose 87*r - 167*r = -24720587 + 2292667. Is r prime?
False
Let p(m) = -6*m**3 + 49*m**2 - 38*m + 17. Is p(-26) composite?
True
Is ((25361 - 5)/12)/(2/142 - 0) prime?
False
Let d(x) = -2699*x - 1911. Is d(-22) a prime number?
True
Suppose f = -14*p + 4*p + 780351, -2*p + 156075 = 5*f. Is p composite?
True
Let b = -497 + 3077. Let g = b - 421. Is g composite?
True
Let x(j) = -3 + 18*j + 3*j + 2. Let g be -1 - (0 - 6)/(6/8). Is x(g) composite?
True
Suppose 2*v = 6, 5*n - n - v - 37 = 0. Suppose -278 - 18512 = -n*x. Is x a prime number?
True
Let i = 133568 + -27461. Suppose -28*b + i = 11719. Is b a prime number?
True
Let l(y) = -y**3 - 26*y**2 + 56. Suppose -4*t + 3*k - 130 = 0, -t - 21 = -2*k + 7*k. Is l(t) a prime number?
True
Suppose -188390 = -3*b - 4*o + 428743, -3*b + 617103 = -o. Is b prime?
True
Let b be (-12)/(15/20*-2). Let y = 2 - b. Let i = y - -163. Is i a composite number?
False
Let u(f) = -155*f**3 - 6*f**2 - 71*f - 467. Is u(-7) a composite number?
False
Suppose 0 = k - 2*k + 5*j - 4, -2*k - 8 = 4*j. Is 50642*(6 + k)/4 composite?
False
Let g(b) = b**2 + 5*b - 3. Let n be g(-6). Suppose -2*h = -5*s, 2*h - 31 + 13 = -4*s. Suppose y - 523 = -5*r, -s*r - 1076 = -2*y + n*r. Is y prime?
False
Is 1 + 12 - -36028 - 4 prime?
True
Let l be (4 - 2)/(3/12). Let n be l/14 + (-1)/((-28)/100252). Suppose 4*r =
|
{
"pile_set_name": "DM Mathematics"
}
|
n + 30. Suppose -b = -3*v + 59. What are the prime factors of v?
23
Let c = 224 + -81. List the prime factors of c.
11, 13
Let d = 90 + -57. Suppose -3*b + d = 3. List the prime factors of b.
2, 5
Let w = 20 + 10. Let k be 4/(-12) - (-32)/6. Suppose 5*r - w = k. List the prime factors of r.
7
Let v(t) = t**3 - 6*t**2 + 2*t - 8. Let p be v(6). Suppose p*l + 2*c - 14 = 4*c, -4*c = -4*l + 8. What are the prime factors of l?
5
Let a be 3/(-6)*1*-4. Let y(o) = -o + 8. Let u be y(8). Suppose u = j + a*j - 33. What are the prime factors of j?
11
Let s = -8 + 13. Suppose s*p = -10, d + 53 = 6*d + p. List the prime factors of d.
11
Suppose -2*l + 5*b = 2*b - 207, -3*l + 283 = b. List the prime factors of l.
2, 3
Let g(m) be the first derivative of m**2/2 + 6*m + 12. Suppose 19 = -x + 3*x - 3*j, -4*j = 5*x - 13. List the prime factors of g(x).
11
List the prime factors of 228/4 + 2 - -1.
2, 3, 5
Suppose 3*n + 13 - 40 = 0. What are the prime factors of n?
3
Suppose -5*c - 77 = 2*m, 2*m + c = -2*m - 181. Let b = -32 - m. What are the prime factors of b?
2, 7
Suppose -6 = -2*a - 2. Let j(y) = y**3 - y - 2. Let b be j(2). Suppose -a*o + 10 = c - 0*c, -c - b*o + 12 = 0. List the prime factors of c.
2
Let z(g) = -33*g - 15. What are the prime factors of z(-2)?
3, 17
Suppose -15*x = -37*x + 7986. List the prime factors of x.
3, 11
Let y = 2 + 4. Let o = y + 0. What are the prime factors of o?
2, 3
Let g(c) = 4*c - 6. Let w be g(4). Let x = -6 + w. Let k = x - 1. What are the prime factors of k?
3
Let i = 4 + -2. Suppose 0 = -0*m - i*m + 24. List the prime factors of m.
2, 3
Suppose z = -4*z + 20. Suppose z*n - 12 = -4. What are the prime factors of n?
2
Let u = 68 + -45. List the prime factors of u.
23
Suppose -17*s + 5314 = 2203. List the prime factors of s.
3, 61
Suppose 0 = -o - 6*x + 2*x + 106, -2*o + x + 185 = 0. Let y = o - 51. List the prime factors of y.
43
Suppose 0 + 2 = -2*j. Let s be -1 + j + (-23)/1. Let q = -15 - s. List the prime factors of q.
2, 5
Let w = 23 - 38. Let t = 38 + w. List the prime factors of t.
23
Let o(d) = -d**2 - 6*d. Let l(y) = y**3 + 3*y**2 - 2. Let f be l(-2). Suppose f*n - 6*n = 20. List the prime factors of o(n).
5
Let z(q) = -q. Let t be z(-2). Let g be (2 + t)/(-2) + 5. Suppose -3*c - 2*l = -22, 0 = g*c + l + 1 - 18. List the prime factors of c.
2
Let w be ((-3)/(-6))/((-2)/(-20)). Suppose -w*c + 55 = -0*c. What are the prime factors of c?
11
Let d be ((-12)/3 - -2) + 2. Suppose -5*s = 2*i + 15, -3*i - 2*s - 6 = -d*i. Suppose q - 5*j + 11 = i, 3*q + j = -q + 19. List the prime factors of q.
2
Let n(j) = j**3 + j**2 - 1. Let i be n(0). Let k be i/(-2 + 9/5). Suppose -k*t - 2*z = -41, -3*t + 2*z + 3*z = -37. List the prime factors of t.
3
Let d be -1 + 2 - -4*1. Suppose 0 = d*n + 24 - 94. List the prime factors of n.
2, 7
Suppose -b = -0*b. Suppose -36 = 5*o + 2*z + 10, -5*o - 5*z - 55 = b. What are the prime factors of (-2)/(26/o - -3)?
2
Let n(o) = 6*o**2 - o + 2*o**3 - o**3 + 0 - 3. What are the prime factors of n(-6)?
3
Let b(r) = 2*r**2 - r. List the prime factors of b(-2).
2, 5
Suppose -13*v + 252 = -9*v. What are the prime factors of v?
3, 7
Let p be ((-4)/2 - 1)/1. List the prime factors of p*((-21)/9 - 1).
2, 5
Suppose 0 = 5*j - 6 - 4. Suppose o = -j*o + 78. List the prime factors of o.
2, 13
Let f(w) = w**2 + 3*w. Let k be f(-3). Suppose -4*u + 18 = -k*d - d, 5*u - 17 = 4*d. List the prime factors of d.
2
Let w(s) = s**2 + 7*s. Let r be w(-7). Suppose r = 2*n - 0*n - 4. List the prime factors of n.
2
Let k(q) = q - 8. Let y be k(5). Let d be -1*y*1 + -1. Suppose 5*p = 2*c - 0*p - 14, -6 = -d*c + p. List the prime factors of c.
2
Suppose 6 = -2*l + l. Let k = l - -2. What are the prime factors of k/(-6) + (-64)/(-12)?
2, 3
Let q(y) be the second derivative of y**5/20 + 5*y**4/12 - 5*y**3/6 - 3*y**2 - y. Let n be q(-5). List the prime factors of n - (-4 - -2) - 1.
2, 5
Let g = -13 + 13. Let w(y) = -y**2 + 28. What are the prime factors of w(g)?
2, 7
Let j = 124 + -73. What are the prime factors of j?
3, 17
Let w = 2 - 3. Let z be (w/(-1) - -1) + -1. List the prime factors of 5 + -3 + 2 + z.
5
Let v = -128 - -296. List the prime factors of v.
2, 3, 7
Let t(c) = c**3 + 3*c**2 - 5*c + 3. List the prime factors of t(-4).
7
Suppose 5*j = 4*b + 270, 0 = -0*j - j - 3*b + 73. List the prime factors of j.
2, 29
Suppose j + 12 = -3*j - m, 0 = 4*m. List the prime factors of j*(-2)/3 - -11.
13
Let q(c) = -c**3 + c**2 + 8. Let b(m) = m. Let x be b(-3). Let i be 0*(4 + x + 0). What are the prime factors of q(i)?
2
Let v(u) = 20*u + 7. Let p be v(-5). Let i = 132 + p. List the prime factors of i.
3, 13
Let v be 8/(2*(-3)/(-6)). Suppose -3*x = 4*w + v - 59, 5*w + 5*x - 60 = 0. Suppose -5*r + 0 = -w. List the prime factors of r.
3
Suppose 31 = i - 132. What are the prime factors of i?
163
Let j(m) = -8*m - 2. Let v be j(-2). Suppose -3*z + 27 = -3*n, -4*n - 2 + v = 2*z. List the prime factors of z.
2
Let m = -226 + 327. List the prime factors of m.
101
Suppose 5*q = q + 16. What are the prime factors of q?
2
Let x be (-5)/((-15)/6) - -1. Suppose 5*v + x*d = 3*v + 55, -5*v + 5*d = -100. What are the prime factors of v?
23
Suppose -3*g + 340 = 5*m, -5*m = 4*g - 273 - 72. List the prime factors of m.
5, 13
Let w = -44 + 17. What are the prime factors of (32/12)/((-6)/w)?
2, 3
List the prime factors of (-142)/(-5) - (-12)/20.
29
Let d = 25 - 20. List the prime factors of 4/20 - (-219)/d.
2, 11
Let u = -99 - -179. What are the prime factors of u?
2, 5
Let v = 132 - 86. What are the prime factors of v?
2, 23
Suppose x - 2*d = 4*x - 6, 3*x + d = 3. List the prime factors of (x - 0 - 1) + 15.
2, 7
Suppose -2*q - q + 3*p = -312, 3*p - 228 = -2*q. List the prime factors of q.
2, 3
Suppose 4*n - k - 19 = 0, -5*k = n - 3*k - 16. Let l = -17 + n. Let j(p) = p**3 + 12*p**2 + 12*p + 13. What are the prime factors of j(l)?
2
Suppose 2*r = 38 + 12. Suppose 0 = -4*n + 78 + 26. Suppose 0 = -3*g + n + r. List the prime factors of g.
17
Let t = 22 + -13. Let j = -5 + t. Suppose -g - 2 = j*u + 11, -2*g + 2*u + 14 = 0. What are the prime factors of g?
3
Let o(b) = b**3 + 27. What are the prime factors of o(0)?
3
Suppose 0 = -2*u - 5 + 23. What are the prime factors of u?
3
Let y = 26 + -16. List the prime factors of y.
2, 5
Let h = 3 + -5. Suppose x - 3 = -3*t, 4*x = -x - 2*t + 41. Let p = x - h. List the prime factors of p.
11
Let l be -3 + -1 + 2 + 2. Suppose a = 4*v - l*v, 4*v = -5*a + 24. Suppose -2*c = 3 + 5, -5*o + a*c = -51. What are the prime factors of o?
7
Suppose 0 = 6*a - a - 20. Suppose 3*t = -3*o + 21, -a*o + o = -2*t - 6. Suppose o*r + 18 - 47 = -3*j, -5*j + 2*r + 83 = 0. What are the prime factors of j?
3, 5
Suppose -96 = -3*v - 0*v. Let u be (5/(-10))/((-2)/v). List the prime factors of (u/(-10))/(1/(-5)).
2
Suppose 5*j - 50 = 215. List the prime factors of j.
53
Suppose 3*v = -g + 14, v = -g - 2*g + 2. Suppose -44 - 21 = -v*d. What are the prime factors of d?
13
Suppose 0 = 4*w + 45 - 189. Let a = 52 - w. What are the prime factors of a?
2
Let p(m) = -m - 7. Let o be p(6). Let q = o + 27. What are the prime factors of q?
2, 7
What are the prime factors of (-12)/3*3/(-6)?
2
Let b(p) = 2*p**2 - 4*p + 2. Let s be b(3). Let m = s - 5. List the prime factors of m.
3
List the prime factors of -3*(2 + (-280)/12)*1.
2
Let k = 2 - 0. Let x = -56 + 82. Suppose -x = -k*q - 2. List the prime factors of q.
2, 3
Suppose 2*h + 4 = 2. What are the prime factors of h + -2 + (2 - -13)?
2, 3
Suppose 24*m - 20*m = 8. What are the prime factors of m?
2
Suppose 5*c = 92 + 53. What are the prime factors of c?
29
Let c(m) = -m**3 - 3*m**2 - 10*m + 4. What are the prime factors of c(-6)?
2, 43
Suppose i - 127 = 111. List the prime factors of i.
2, 7, 17
Suppose 0 = -2*x - 3*u + 27 - 7, 3*u - 32 = -5*x. Let t be 21/x + 1/(-4). Suppose t*j = -2*v + 33, 2*v + v - 2*j - 2 = 0. List the prime factors of v.
2
Suppose 2*g - 2*q = -5*q + 52, 4*g - 4*q = 124. Suppose -2*n + 15 = 5*z - 18, n + 5*z = g. List the prime factors of n.
2
Suppose -186 = -4*n + 5*k - 3*k, 3*k = 5*n - 235. What are the prime factors of n?
2, 11
Suppose 0*d - 5*d + z + 7 = 0, -4*d + z + 6 = 0. What are the prime factors of (1 - d - -3) + 6?
3
Suppose -w + 7 = -18. Suppose -8 - w = -3*a. List
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let f(t) = -8*t - 26. Give 3*f(o) - 7*h(o).
-3*o + 13
Suppose 3*c - 12 = 0, 1 = -15*j + 10*j - c. Let r(o) = 2*o + 5. Let u(t) = 0 + 4 - 3. Determine j*r(g) + 4*u(g).
-2*g - 1
Let t = -33 + 35. Let y(b) = 5 - t + 0 - 1. Let x(r) = -r + 3. Give -2*x(d) + 3*y(d).
2*d
Let h(g) = -g**3 - 33*g + 419. Let d(t) = 6*t - 84. What is -11*d(k) - 2*h(k)?
2*k**3 + 86
Let z(a) = 33*a**3 - 70*a**2 + a + 1. Let w(f) = 11*f**3 - 23*f**2. Give -7*w(y) + 2*z(y).
-11*y**3 + 21*y**2 + 2*y + 2
Let v(n) = n**2 + n + 1. Let h(s) = 6*s**2 + 6*s + 9. Let b = -337 - -332. Determine b*v(d) + h(d).
d**2 + d + 4
Let c(l) = -l + 1. Let z = -16 - -18. Suppose z*d = 11 - 13. Let p(k) = -14*k + 12. Determine d*p(x) + 12*c(x).
2*x
Let k(l) = 11*l**3 - 7*l - 9. Let v(i) be the third derivative of -i**6/20 + i**4/6 + 5*i**3/6 - 39*i**2 + i. What is -3*k(w) - 5*v(w)?
-3*w**3 + w + 2
Let t(y) = -7*y**3 + 6*y**2 + 3*y + 4. Let o(w) = -47*w + 230. Let k be o(5). Let d(f) = 8*f**3 - 7*f**2 - 4*f - 5. Determine k*t(p) - 4*d(p).
3*p**3 - 2*p**2 + p
Let q(z) = 1645*z**3 - 25*z**2 + 25*z - 25. Let i(v) = 137*v**3 - 2*v**2 + 2*v - 2. Give 50*i(o) - 4*q(o).
270*o**3
Let g(s) be the first derivative of 17*s**2/2 - 8*s - 166. Suppose -6*r = -r - 5. Suppose 4*b = r + 35. Let h(y) = -4*y + 2. Calculate b*h(k) + 2*g(k).
-2*k + 2
Let p(d) = 11*d - 38. Let y(l) = 5*l - 18. Determine 4*p(k) - 9*y(k).
-k + 10
Let j(a) = a**3 + a + 1. Let g(x) = 34*x**3 + 153*x + 153. Give 2*g(u) - 306*j(u).
-238*u**3
Let f(b) = -b. Let l(u) = -2*u - 1 + 1. Suppose 77 = -5*r + 102. What is r*f(c) - l(c)?
-3*c
Let r(j) = -6*j**2 - 5*j - 9. Let l(w) = -3*w**2 - 3*w - 5. Suppose 0 = -14*c + 20*c - 30. Give c*l(n) - 3*r(n).
3*n**2 + 2
Suppose 7*h - 15*h + 88 = 0. Let r = -35 - -37. Let t(k) = -8*k - 2. Let l(j) = 41*j + 11. Determine h*t(u) + r*l(u).
-6*u
Let b(m) = 2*m**3 + 9*m**2 + 3*m. Let s(t) be the first derivative of -3*t**4/4 - 17*t**3/3 - 5*t**2/2 + 172. Let z = -51 + 48. What is z*s(l) - 5*b(l)?
-l**3 + 6*l**2
Let l(t) = -16*t + 5. Let r(d) = 16*d - 4. Let v(p) = 11*p - 103. Let w be v(9). Calculate w*l(u) - 5*r(u).
-16*u
Let k(w) = -4*w**3 - 13*w**2 - 15*w + 17. Let m(r) = 2*r**3 + 6*r**2 + 7*r - 8. Suppose -v + 7 = -d, v + 0*v = -4*d - 23. Give d*k(a) - 13*m(a).
-2*a**3 - a + 2
Suppose 5*i + 13 = -52. Let k = i - 4. Let a(p) = -14*p - 3. Let f = -20 + 14. Let u(r) = 5*r + 1. Determine f*a(o) + k*u(o).
-o + 1
Let b(o) = -606 + 602 + 5*o - 3*o. Let f be 0 + 6 + 2 + -2. Let c be (8/f - 1)*3. Let y(v) = 1. What is c*b(n) + 6*y(n)?
2*n + 2
Let x(h) = 83*h**3 - 27*h**2 + 16*h. Let b(s) = -55*s**3 + 17*s**2 - 11*s. What is 8*b(f) + 5*x(f)?
-25*f**3 + f**2 - 8*f
Let z(y) = -80*y**2 + 4*y - 4. Let n(s) = -81*s**2 + 5*s - 5. Calculate 4*n(g) - 5*z(g).
76*g**2
Let c = 241 + -235. Let s(i) = 5*i. Let a(o) = 6*o - 1. Determine c*a(x) - 7*s(x).
x - 6
Let z(l) = -l + 0*l**2 - 177381 + 177382 - l**2. Let j(o) = -7*o**2 - 7*o + 8. Determine j(v) - 6*z(v).
-v**2 - v + 2
Let g(v) = -135*v**2 - 1. Let p(b) = -404*b**2 - 3. What is 11*g(h) - 4*p(h)?
131*h**2 + 1
Suppose i = 5*i - h - 13, 0 = 2*i + 3*h - 17. Let x(r) = r. Let a(m) = -4*m + 5. Let p(o) = a(o) + 3*x(o). Let d(v) = -2*v + 6. Give i*d(t) - 5*p(t).
-3*t - 1
Let p(d) = 5*d**2 - 2*d + 1. Let r(g) = -g**2 + 7*g - 9. Let f be r(5). Let h be p(f). Let q(a) = a**2 - 1. Let i(j) = -5*j**2 - 2*j + 4. Give h*q(o) + i(o).
-o**2 - 2*o
Let u(s) = -12*s**2 - 8*s + 1. Let l(a) = 25*a**2 + 18*a - 3. Give -4*l(f) - 9*u(f).
8*f**2 + 3
Let o(i) = 46*i**2 - 5*i - 5. Let r(j) = 44*j**2 - 6*j - 6. Calculate -6*o(b) + 5*r(b).
-56*b**2
Let f(y) = -22*y + 5. Let z(l) = l + 1. What is f(v) - 6*z(v)?
-28*v - 1
Let d(g) = 2*g**2 + g + 1. Let t(j) = -j**3 - 2*j**2 - j - 15. Determine 4*d(y) + 4*t(y).
-4*y**3 - 56
Let t(d) = 9*d - 5. Suppose 5*r = 0, f = r + 33 - 40. Let j(g) = 14*g - 7. What is f*t(m) + 5*j(m)?
7*m
Let n(r) = -47*r - 9. Suppose 0 = -10*l + 2039 - 2059. Let o(d) = 12*d + 2. Calculate l*n(u) - 9*o(u).
-14*u
Let s(k) = -14664*k**3 - 282. Let g(a) = 473*a**3 + 9. Determine 94*g(f) + 3*s(f).
470*f**3
Let i(y) = y**2 + y. Let f be (1 + 1)*(-3)/(-6). Let g(b) = -b**2 - 2*b. Let l(q) = q**2 - q - 10. Let o be l(-3). Determine f*g(j) + o*i(j).
j**2
Let k(i) = -45*i - 6. Let n(d) = 45*d + 10. Calculate -3*k(j) - 2*n(j).
45*j - 2
Let d(i) = -i**2 + 97*i + 6. Let b(r) = 4*r**2 - 387*r - 26. Give 2*b(y) + 9*d(y).
-y**2 + 99*y + 2
Let p(v) = -7*v**2 - 7*v + 7. Let w(t) = -3*t**2 - 3*t + 3. Let d(f) = -6*p(f) + 15*w(f). Let b(h) = -4*h**2 - 4*h + 4. What is 4*b(n) - 6*d(n)?
2*n**2 + 2*n - 2
Let y(u) = 2801*u**3 - 5*u - 5. Let z(b) = -785680*b**3 + 1403*b + 1403. Determine 1403*y(d) + 5*z(d).
1403*d**3
Let j(f) = -733*f + 13. Let s(u) = 364*u - 6. What is -4*j(t) - 9*s(t)?
-344*t + 2
Suppose -2313*o + 10 = -2318*o. Let n(x) = -5*x**3 - 2*x**2 + x + 3. Suppose -2*l = -3 - 3. Let d(u) = -4*u**3 - u**2 + u + 2. Determine l*d(h) + o*n(h).
-2*h**3 + h**2 + h
Let j(c) = 34*c - 26. Let m(u) = 28*u - 25. Determine -2*j(n) + 3*m(n).
16*n - 23
Let n(x) = -25*x - 6. Let i(h) = h + 1. Determine 4*i(k) + n(k).
-21*k - 2
Let a(d) = -2*d - 1. Let x(w) = 9*w - 11. Determine 2*a(z) + x(z).
5*z - 13
Let j(m) = -m**2 - 1. Let x(d) = -46*d**2 - 2*d - 56. Let i(h) = -2*h**2 - h. Let t(r) = -2*i(r) + x(r). Determine -56*j(z) + t(z).
14*z**2
Let z(k) = k**3 + k**2 - k - 1. Let d be (9/(-6))/((-3)/18) + -2. Suppose d*g - 3*g = -4. Let y(f) = 2*f + 2*f - 3*f**2 + 4 - f - f**3. Give g*y(c) - 3*z(c).
-2*c**3 - 1
Let b(p) = -2*p + 1. Let i be (-3)/(-1) - (-1)/(-1). Suppose -i + 10 = 4*c. Let h(x) = -7 + 2 + 6. Determine c*h(y) - b(y).
2*y + 1
Let y(x) = -196*x. Let c(m) = -396*m - 1. What is -2*c(g) + 5*y(g)?
-188*g + 2
Suppose f - 8 = 5*f - 4*s, -5 = f - 2*s. Let g(h) = -h. Let a(l) = -2*l + 2. Let i be 26/8 + (-1)/4. Suppose 17*y - 14*y = -i. Calculate f*a(m) + y*g(m).
-m + 2
Suppose -40*r = -35*r - 25. Let m(v) = v**2 - v + 2. Let u(h) = 1. Calculate r*u(q) - m(q).
-q**2 + q + 3
Let p(l) = 15*l**2 + 2*l + 2. Let y(c) = c**2 - 10. Let v(g) = 73*g**2 + 10*g + 41. Let r(j) = -v(j) - 3*y(j). Calculate -11*p(b) - 2*r(b).
-13*b**2 - 2*b
Let t(c) = -9*c**3 - 19*c + 6. Let x(k) = -8*k**3 - 19*k + 4. Determine -2*t(d) + 3*x(d).
-6*d**3 - 19*d
Let x(p) = 12*p**3 - 7*p**2 - 7*p. Let z be -14*(0 - -1)*-1. Let y be (z/(-3))/((-4)/(-6)). Let r(h) = 6*h**3 - 3*h**2 - 3*h. What is y*r(s) + 3*x(s)?
-6*s**3
Let s(t) = 474*t**2 + 10. Let m(n) = 45505*n**2 + 958. Calculate -5*m(l) + 479*s(l).
-479*l**2
Let a(m) = -m**2 + m. Let v(d) = 2*d**3 + d**2 + 2*d + 2. Give -3*a(r) + v(r).
2*r**3 + 4*r**2 - r + 2
Suppose 7*u - 7 = y + 4*u, -4*u = 4*y + 28. Let i = 8 + -14. Let l(t) = 11*t**3 + 7*t - 7. Let m(g) = -10*g**3 - 6*g + 6. Calculate i*l(p) + y*m(p).
4*p**3
Let t(n) = n - 5. Let f be ((-78)/30 + 2)/(18/60). Let o(k) = 2*k - 11. Calculate f*o(v) + 5*t(v).
v - 3
Let j(l) = -l + 4. Let q(p) = -21*p + 19. What is -4*j(f) + q(f)?
-17*f + 3
Let p(l) = -1. Let z(r) = -10*r + 6. Suppose 0 = -106*i + 114*i + 48. Determine i*p(x) - z(x).
10*x
Let m(x) be the first derivative of -7*x**2/2 + 4*x + 138. Let v(z) = 29*z - 17. What is -9*m(b) - 2*v(b)?
5*b - 2
Let q(u) = u + 0*u + 4*u. Let g(k) = 38395 - 38395 + k. Calculate 6*g(n) - 2*q(n).
-4*n
Suppose -36*o - 30 = -30*o. Let z(s) = -s - 1. Let v(b) be the third derivative of b**5/60 + 7*b**4/24 + 5*b**3/6 + 14*b**2. Give o*z(g) - v(g).
-g**2 - 2*g
Let y be 1/3*(-5 + 17). Let b(g) = 2. Let o(z) be the second derivative of -z**3/6 - 5*z**2/2 - 5*z. Give y*b(x) + 2*o(x).
-2*x - 2
Let g(u) = 5*u**2. Let i(q) be the second derivative of 5*q**4/4 + 278*q. What is 10*g(o) - 3*i(o)?
5*o**2
Let w(f) = -4*f. Let r(o) = 10*o. Let h be (-15)/3 + (20 - 12). Suppose -3*k + 21 = -b - 0*k, -k + 4 = 0. Let x = h - b. Give x*w(z) + 5*r(z).
2*z
Let z(g) be the second derivative of 0 - 2*g + 1/2*g**2. Let p(n) = n - 7. Let u = -129 + 134. Calculate u*z(v) + p(v).
v - 2
Let d(t) = 5*t**3 - 9*t**2 - 9*t + 9. Let i(j) be the first derivative of j**4/4 - 2*j**3/3 - j**2 + 2*j + 41. What is 4*d(x) - 18*i(x)?
2*x**3
Let j(z) = 4*z**2 + 0 + 7 + 3*z - z + z**2. Let i be ((-4)/(-6))/(4/6). Let a(h) = -17*h - h**2 + 8*h + 3*h - 1 + 6*h. Determine i*j(c) + 6*a(c).
-c**2 + 2*c + 1
Let f(j) = j**2 - j - 1. Let n(c) = -c**2 - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s = -54 + 249. Let y = s + -198. Is y less than -11/9?
True
Let h be (11 - (-50)/(-5)) + 5/(15/(-4)). Is h equal to -34?
False
Let d be (1/(-2))/(3 - 5332/1776). Suppose 4*z + 183 = -12*t + 17*t, 5*z - 4*t = -d. Which is greater: -43 or z?
z
Let o = -7897 + 686999/87. Which is smaller: o or 1?
o
Suppose 2*d = 2*w - 34, -2*d = -3*w + 65 - 15. Suppose -2*t = w*t - 5472. Which is greater: t or 303?
t
Let o = 0.3 + -0.28. Let s be 573/(-5)*((-100)/(-2))/(-10). Let q = 577 - s. Which is bigger: o or q?
q
Let l = -4567 + 4037. Which is greater: l or -528?
-528
Let h(l) = 2*l**3 - 52*l**2 - 54*l. Let z be h(27). Let i = -51161/34 - -1505. Which is bigger: z or i?
i
Let v be (-294)/(-63) + 4/(-6). Suppose -181 + 173 = -v*s. Suppose 4 = -2*n - s*p, 4*n - 2*p = -4*p - 4. Which is greater: n or -4/15?
n
Suppose 327 = 4*f + i, -5*f + 0*i + 390 = -5*i. Let s be (-40)/(-165)*f/(-6). Which is bigger: s or -3?
-3
Let g be 2/5 + 20/(-50) + 2. Let x = 115 + -60. Let v = x + -44. Do v and g have different values?
True
Suppose 41949*k = 41920*k + 8758. Which is greater: k or 296?
k
Let k(a) = -2*a**2 - 14*a - 56. Let o be k(-5). Let z = -26 - o. Which is bigger: 62/7 or z?
z
Let j(x) = 24*x + 26. Let c(h) = 5*h + 5. Let b(a) = 14*c(a) - 3*j(a). Let s be b(-3). Let d be s/(-3) - 101/12 - 1. Which is greater: -10 or d?
d
Suppose 2*w - r + 206 = 0, -3*r - 141 - 363 = 5*w. Is w bigger than -2?
False
Suppose 49*p + 309878 = -17*p + 25*p. Is p less than -7557?
True
Let k be (-3)/28*462/(-132). Which is smaller: k or -760?
-760
Let r be 1062/(-4)*256/(-288). Suppose 126 = -2*q + 596. Which is smaller: q or r?
q
Suppose 2*y = -3*w + 704, -y + 350 = -0*w + w. Let v = -398 + y. Is -53 > v?
False
Let s = -1894 + 3196. Are 1302 and s unequal?
False
Let u be 2/3 + (-244)/(-3). Let d = -288 + 534. Suppose 3*v - y = 252, v = -2*v - y + d. Is v < u?
False
Let m = 0.5 - -23.5. Let v(y) = y**3 - 5*y**2 + 2*y - 10. Let d be v(5). Suppose 0*w = 5*w - 10, d = 5*t - w - 3. Which is greater: m or t?
m
Suppose 28355 + 65027 = 33*o + 8407. Which is greater: 2580 or o?
2580
Suppose -571 = -5*i + 3*q + q, 5*q = -2*i + 202. Let z be 1/3*i - 2. Let m = z - 30. Are m and -1 equal?
False
Let v be -13*(0 - (-2)/(-6)). Let s(z) = 26*z - 2. Let i be s(1). Suppose -27 + i = -u. Is v <= u?
False
Suppose 95*q = -48*q - 66 - 77. Is q equal to -2/365?
False
Let j = 53387/1204 - 1899/43. Let d = 1 + -1.2. Which is bigger: d or j?
j
Let l = 2.2 + -0.6. Let p = -8352 + 75044/9. Let k = p + 14. Which is smaller: l or k?
k
Let t be (-4811)/(-623) - 1*(2 - -2). Let d = 4519 + -402179/89. Let q = t + d. Is 3 not equal to q?
True
Let k = 585/795434 - 108551105511/23465303. Let j = k + 4626. Is -1 > j?
False
Suppose -27*o = -32*o. Suppose o*m + 4*m = 0. Let b be m/(1 + 0)*3/(-9). Is b > 2/27?
False
Let q be 12/3 + (-214619383)/(-10549). Let u = 20349 - q. Which is greater: u or -1?
u
Suppose -5*k - 424 = -9*k. Suppose -5*m = f - k, 2*m + 3*f - f = 36. Let c(v) = -7*v - 12. Let j be c(-5). Is m equal to j?
False
Let w = -2656 - -2495.7. Let g = w + 175. Let b = g - 15. Is b smaller than 0.3?
True
Suppose 3*c + 6 = -5*j, -c + 24*j = 21*j - 12. Let y be c*2/12*112/(-8). Let v be -3 - 8/(2/2). Which is bigger: y or v?
y
Let j be (88/(-32) + 3)*4. Which is smaller: 19/11 or j?
j
Let o(b) = -b**3 + 5*b**2 - 12*b - 39. Let i be o(-6). Let f = -386 + i. Suppose g = 5*g + 3*w - 168, -42 = -g + 4*w. Is g > f?
False
Let d = -264292 - -264324. Let t = -17165/388 + -1/97. Let a = 44 + t. Which is bigger: a or d?
d
Let z = -16136.16 + 16571. Let j = -462 + z. Let m = j - -0.16. Is 2/9 < m?
False
Suppose 6*l + 5*g = 9*l - 3, 0 = -4*l - 2*g + 30. Suppose -l*p + p = -4*i + 1781, p = 3. Is i greater than 450?
False
Suppose -1 - 22 = 17*j - 6. Is 10 greater than or equal to j?
True
Let t be 59/((-944)/(-96))*2/(-3069). Which is greater: -1 or t?
t
Let g = 0.035 + -1.255. Let v = g - -1.78. Let z = 0.66 - v. Which is greater: z or 13?
13
Suppose 2*t - 6 = -0. Let m be (-124)/(-12) - (-5 - (-1 - t)). Which is greater: m or 11?
m
Let p = -1195/7 + 171. Suppose -3 + 7 = -621*c + 4. Which is greater: c or p?
p
Let d = 5.8 - 11.8. Let n(r) = 68*r**2 - 3. Let w be n(-3). Let s = w + -6705/11. Is s equal to d?
False
Let i be (-868)/(-294)*(-63)/45. Which is smaller: -4 or i?
i
Suppose -2*x - 12 - 22 = 0. Let k be ((-21)/35 - 213/45)*-3. Suppose -k - 14 = 2*h. Which is greater: x or h?
h
Let v = -31 - 19. Let t be -3*1*(v/15)/(-10). Let a be (-24)/10 + 1 + 1. Which is greater: t or a?
a
Let d(r) = -6*r - 8. Let m be d(-7). Let f be 271795/209 + 18/33. Suppose 29*o + 315 = f. Does o = m?
True
Suppose 3*r - 5*l = -94, -55*r + 70 = -58*r + 2*l. Does r = -3/38?
False
Let v = -30/41 - -248/451. Let w(p) = 10*p**3 + p**2 + 11*p + 24. Let c be w(-3). Let n be 2760/c - (29/(-9) + 3). Which is smaller: v or n?
n
Let d be 2/(-3) - ((-444)/9)/(-4). Let u be ((-6)/(-4))/((-93)/48 + 2). Let t = 13 - u. Which is greater: t or d?
t
Let n(d) = -d + 77. Let o be n(76). Which is bigger: o or -22/1373?
o
Let f be 4/(-34) - 24/(-204). Suppose f = 4*r + r - 30. Suppose g = -r*g. Is g smaller than -1/14?
False
Suppose 2*c - 538 = 2*f, -2*c - c = -2*f - 808. Let j = 209 - c. Which is greater: -63 or j?
j
Suppose 192 = -6*x - 6*x. Let k = x - -351/22. Which is smaller: -0.4 or k?
-0.4
Let g be -4 + 6 + 7 + -60. Let q be ((-8)/30)/((-17)/g). Suppose -5*c - i = 0, 3*c - 18 + 0 = 3*i. Which is smaller: c or q?
q
Suppose -500 - 421 = -d. Is d >= 920?
True
Let o = -3027 - -15158/5. Is o != -0.014?
True
Let s = 1911 - 1116. Let b = -623 + s. Which is smaller: 171 or b?
171
Let l = -33098/177891 + 58/903. Which is bigger: 1 or l?
1
Let g = -283.497 - -285.5. Let x = g - 0.003. Let h be 2/(-9)*(-9)/27. Are h and x non-equal?
True
Let i be 8/28 + 418/(-1512). Let m = -1.9147 - -0.9147. Is m greater than or equal to i?
False
Let j = -796885493/915 + 870913. Which is greater: 0 or j?
0
Let c = 7346.4 - 7327. Is c greater than or equal to 8?
True
Let i(w) = w**3 + 4*w**2 - 68*w - 69. Let d be i(-10). Is d less than or equal to 44?
True
Let i be (-2)/((-9)/(16374015/50360)). Let k = 4/1259 - i. Let c = 727/12 + k. Is c greater than -13?
True
Suppose 5587 = -5*d - 4*j, 2253 = -130*d + 128*d + j. Is d smaller than -2243/2?
True
Let i = 12/163 - -9696/1141. Is i greater than 9?
False
Let f = -9019 - -9018. Which is smaller: f or 1/9967?
f
Let u be 3/((-21)/28) - (-5 + (-4 - -4)). Is u smaller than -1081.7?
False
Let r(z) = -154*z + 2847. Let k be r(-39). Is 8855 < k?
False
Let i be (-116)/203*-14 + 11292/(-1414). Is 0 > i?
False
Suppose 5061 = -155*q + 52336. Is 305 at most as big as q?
True
Suppose 5*p - 28 = 8*z - 6*z, 2*z = -8. Suppose 2*c = -p*g - 86, -3*c - 45 - 36 = 4*g. Is g at most as big as 6?
True
Let i(z) = 5*z + 37. Suppose 0*v - 5*v = 0. Let k be i(v). Is k not equal to 42?
True
Let w(s) = 48*s**3 - 2*s**2 - 2*s - 1. Let k be w(-1). Let m = -119623 + 119576. Is m greater than k?
True
Let h be (18 + -25)/7*919/2. Which is smaller: h or -461?
-461
Let a(t) = 12*t**2 - 26*t - 216. Let s be a(-15). Is s != 2874?
False
Let l = -227 + 111. Let h be (0 + 92)*29/l. Which is smaller: 0.3 or h?
h
Let b(i) = -18*i + 103. Let p be b(7). Let l = -1 + 1. Suppose -s = 2*c + 19, l = -s - 2*s + 4*c - 77. Is p not equal to s?
False
Let d(k) = 40*k**2 - 9*k - 60. Let x be d(-5). Let o be (1 - -1)/((-3900)/x + 4). Which is greater: o or 49?
o
Let p = 92 - 82. Let d be p/(-45) - (-5)/(-18). Let f = 0.04 - -0.06. Which is bigger: f or d?
f
Let u be (-10)/(-130) - 33418/273. Is u smaller than -121?
True
Suppose o - 4*t - 10 = 0, -37*o + 5*t = -38*o + 37. Is o equal to 113/5?
False
Suppose 172 = -2*c - 614. Let v be (-635)/20*(-6)/c. Let u = v + -2/131. Is u at least 1/3?
False
Suppose 0 = 19*n + 75 + 80 - 3. Is n greater than or equal to -8?
True
Suppose 20*m = -358 + 338. Which is greater: -4/327 or m?
-4/327
Let v be (-2)/(-16) + 7/((-224)/68). Let h(i) = -78*i + 58. Let m be h(v). Which is greater: 216 or m?
216
Let j be -1*(0 + -2) - (1 - 0). Let t be (j - 10)*70/(-462). Is 1 smaller than t?
True
Let d = 35915 - 35754. Which is smaller: 2108/13 or d?
d
Let a be 1*-9*4/12. Let w be 21/a - (-23)/3. Which is greater: -5 or w?
w
Let m be (11*120/396)/(28/6). Let g be 0/(-3) + (
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 + 312*o**3 + 338*o**2
Let b(r) be the third derivative of 377*r**5/20 + 119*r**2 + 3*r. Let g(k) = -2*k. Calculate g(b(s)).
-2262*s**2
Let r(a) = a**2 - 411*a. Let v(k) = 60*k. Calculate v(r(p)).
60*p**2 - 24660*p
Let t(f) = -21*f. Let o(v) = -17*v + 172. Let u be o(10). Let r(h) be the third derivative of 0 - 1/24*h**4 - 5*h**u + 0*h + 0*h**3. Give r(t(p)).
21*p
Let x(a) be the first derivative of -2/3*a**3 - 1 + 0*a + 0*a**2. Let u(i) = -4*i + 4*i + 12*i**2. Calculate x(u(w)).
-288*w**4
Let m(x) be the second derivative of x**3/2 - 3*x - 18. Let c(w) = -10*w**2. Give c(m(y)).
-90*y**2
Let s(x) = x. Let k be 11 - (-2 - -4)*1. Let l(c) = 20*c + 4*c - k*c. Calculate l(s(w)).
15*w
Let u(b) = b**2. Let d(p) be the third derivative of -p**8/10080 - 3*p**5/20 - 4*p**2. Let a(n) be the third derivative of d(n). Determine u(a(i)).
4*i**4
Let d(f) = 96658*f. Let l(c) = 7*c. Give d(l(j)).
676606*j
Let u(d) = -2*d**2. Let w(j) = 11*j**2 - 6*j. Let r(b) = -21*b**2 + 12*b. Let p(h) = 4*r(h) + 7*w(h). Determine u(p(g)).
-98*g**4 + 168*g**3 - 72*g**2
Let h(g) = g**2. Let l(f) = 2299*f - 4. Give h(l(a)).
5285401*a**2 - 18392*a + 16
Let i(s) = 8 - 3*s + 11*s**2 + 7*s + 4*s. Let g(v) = -5*v - 2 - 5*v**2 - 3 - 2*v**2. Let h(t) = -8*g(t) - 5*i(t). Let u(q) = -8*q. Determine h(u(r)).
64*r**2
Let m(d) = -96*d. Let q(u) be the first derivative of -u**3/3 + 57. Determine q(m(z)).
-9216*z**2
Let v = -93 + 99. Let h(z) = -v*z**2 + 2*z**2 + 14*z**2 - 7*z**2. Let p(y) = 2*y. Give h(p(b)).
12*b**2
Let w(f) = f. Let o(t) = -7*t + 2. Let d(h) = -h + 1. Let b(y) = 5*d(y) - o(y). Let q be b(2). Let s(n) = 2 - 2 - 5*n**2 + q*n**2. Give w(s(z)).
2*z**2
Let w(b) = -b - 41379. Let z(s) = -11*s**2. What is w(z(o))?
11*o**2 - 41379
Let a(u) be the third derivative of 0 - 16*u**2 + 0*u + 0*u**3 + 0*u**4 - 1/60*u**5. Let k(q) = -12*q**2. Calculate k(a(i)).
-12*i**4
Let p(n) = -1025*n**2 - 3*n. Let a(d) = 7*d**2. Calculate p(a(m)).
-50225*m**4 - 21*m**2
Let l(u) = 2*u**2 + 12*u + 8. Let d be l(-6). Let o(s) = -19*s + 11*s + d*s + 5*s**2. Let x(a) = -2*a - 3*a + 8*a. Determine x(o(q)).
15*q**2
Let h(c) = 934090*c**2. Let u(i) = -i**2. Give u(h(t)).
-872524128100*t**4
Let z(x) = x. Let c(s) = -s**3 + 4*s**2 + 15*s - 15. Let m be c(6). Let l(w) = m - 5 + 2 + 46*w. Calculate l(z(t)).
46*t
Let b(w) = 4*w. Let a(j) = -861*j**2 + j + 6. Give a(b(l)).
-13776*l**2 + 4*l + 6
Let y(z) = -716*z. Let b(j) = 2*j**2 + 5. Give y(b(s)).
-1432*s**2 - 3580
Let l(x) = -8*x + 6. Let a(b) = 25*b - 15. Give a(l(z)).
-200*z + 135
Let t(x) = -5*x**2. Let i(w) be the first derivative of 2 + 0*w - 3/2*w**2. What is i(t(f))?
15*f**2
Suppose -38*x = -40*x + 4. Let z(v) = 327 - 327 + x*v. Let h(j) = 2*j + j + 0*j. Calculate h(z(s)).
6*s
Let z(l) = -l. Let c = 111 + -108. Let u(v) be the first derivative of 0*v + c - 5/2*v**2. Determine u(z(k)).
5*k
Let t(q) = -4*q**2. Suppose -5*m = s + 15 + 10, 0 = -5*s + m + 5. Suppose 4*y + 4 - 8 = s. Let r(g) = 3 - y - 2 + g. Calculate r(t(p)).
-4*p**2
Let r(j) = -280*j - 676. Let o(c) = 2*c. What is o(r(x))?
-560*x - 1352
Suppose 0 = -5*r - 5*i + i + 40, 3*i = -3*r + 24. Let z(o) = -r + 21 - 13 - 6*o. Let n(p) = p. Calculate z(n(j)).
-6*j
Let l(i) = -2*i**2 - 10*i. Let f(h) = 16*h**2 - 7*h. Let t(w) = 7*w**2 - 3*w. Let y(o) = -3*f(o) + 7*t(o). Give l(y(j)).
-2*j**4 - 10*j**2
Let d(o) = 2*o**2. Let s = 45 - 11. Suppose 5*h - 3*h - s = 4*t, -2*t + 2 = 0. Let m(p) = 4*p + 4*p - 8*p - h*p**2. Calculate d(m(c)).
722*c**4
Let x(l) = l. Let u(i) be the second derivative of -367*i**4/12 + 2*i - 7. Calculate u(x(r)).
-367*r**2
Let i(v) = -55*v - 3. Let w(t) = 45*t**2 - 2*t. Give i(w(f)).
-2475*f**2 + 110*f - 3
Let u(l) = 14291 - l - 14291. Let h(c) = 12*c**2 + 5*c. What is h(u(f))?
12*f**2 - 5*f
Let v(j) = -423*j**2 + 17. Let y(o) = 143*o**2 - 6. Let z(m) = 6*v(m) + 17*y(m). Let p(k) = -k. Calculate p(z(c)).
107*c**2
Let j(i) = -2*i + 1. Let c(s) = 14*s - 8. Let p(a) = c(a) + 8*j(a). Let g(w) = 41*w**2 - 4*w. Give p(g(r)).
-82*r**2 + 8*r
Let s(f) = 406*f**2. Let t(v) = -22*v**2 + 4 - 4 + 14*v**2 + 10*v**2. Calculate t(s(b)).
329672*b**4
Let b(g) = -9*g - 15*g + 3 - 12*g + 19*g**2 + 39*g. Let a(w) = 245*w**2 + 40*w + 40. Let q(d) = 3*a(d) - 40*b(d). Let x(c) = c. What is x(q(f))?
-25*f**2
Let l(k) = k + 4. Let b(z) = z + 2. Let o(x) = -10*b(x) + 5*l(x). Let c(q) = -1 + 0 + 1 - q. Determine o(c(g)).
5*g
Suppose -d - 3*d + 1 = 5*v, 4*v = 3*d - 24. Let g(y) = -7*y + 2*y - d*y. Let t(z) = 14*z. Let b(m) = 8*g(m) + 5*t(m). Let f(n) = n**2. Calculate f(b(l)).
4*l**2
Let j(f) = 22*f - 11. Let h(u) = -5*u + 3. Let p(l) = -22*h(l) - 6*j(l). Let a(i) = 3*i**2. What is a(p(t))?
1452*t**2
Let i(a) = -42*a - 1. Let t(m) = 2 - 4 + 2 + m. Determine i(t(f)).
-42*f - 1
Let d(p) = 2*p + 6. Let v(s) = -9*s - 30. Let f(z) = -20*d(z) - 4*v(z). Let y(r) be the third derivative of -r**5/12 - r**2. Calculate y(f(t)).
-80*t**2
Let j(t) = 49*t**2 - 6. Let n(x) = -3870*x**2 + 473. Let g(k) = -473*j(k) - 6*n(k). Let q(i) = 71*i - 149*i + 34*i + 42*i. Determine g(q(o)).
172*o**2
Let n(x) = 37*x. Let k(i) be the first derivative of 2*i**2 + 788. Determine k(n(f)).
148*f
Let v(h) be the third derivative of -5*h**4/4 + 376*h**2. Let l(c) = -34*c**2. Calculate l(v(z)).
-30600*z**2
Suppose 0 = 4*f + f. Let k be -1 + (1 + f)*3. Let m(v) = v - k - 1 + 3. Let x(t) = t. Determine m(x(s)).
s
Let c(m) = 2*m**2. Let g(s) be the second derivative of s**5/60 + 8*s**3/3 + 13*s. Let p(h) be the second derivative of g(h). Calculate p(c(l)).
4*l**2
Let n(u) be the first derivative of 0*u + 3/2*u**2 - 26. Let q(r) = -5*r**2. Calculate q(n(v)).
-45*v**2
Let z(k) = -110*k + 33*k + 37*k + 38*k. Let w(s) be the third derivative of -s**5/30 - s**3/6 - 2*s**2. Give w(z(f)).
-8*f**2 - 1
Let q(x) = -2*x**2 + 278*x - 136. Let j(n) = n. What is q(j(r))?
-2*r**2 + 278*r - 136
Let n(t) = 4*t**2 + 584*t - 584*t. Let p(d) = -17*d**2. What is n(p(y))?
1156*y**4
Let r(v) be the third derivative of -v**5/30 - 225*v**2. Let l(c) = 151*c + 3. Give r(l(h)).
-45602*h**2 - 1812*h - 18
Let h(k) be the first derivative of 7*k**3/3 - 3*k**2/2 - 34. Let w(a) = -76*a**2 + 32*a. Let s(d) = 32*h(d) + 3*w(d). Let v(i) = -28*i. Give v(s(p)).
112*p**2
Let i(c) = -4*c. Let g(w) = -14097*w. Calculate g(i(p)).
56388*p
Let i(f) = 3*f**2. Suppose -16 - 14 = -10*v. Let x(p) = -v*p + 15*p - 7*p. Calculate i(x(n)).
75*n**2
Let j(y) = -7*y**2 + 5*y. Let a(r) = 4*r**2 - 3*r. Let o(g) = -5*a(g) - 3*j(g). Let u(t) = 53*t. Determine u(o(l)).
53*l**2
Let f(l) = -1093*l + 2195*l - 1097*l. Let r(n) = 5 + 5*n - 5. Calculate f(r(j)).
25*j
Let o(h) be the second derivative of 11*h**4/8 + 19*h**2/2 + 18*h. Let v(t) be the first derivative of o(t). Let u(y) = 2*y**2. What is u(v(b))?
2178*b**2
Let i(k) = 27357 + 2*k - 27357. Let l(n) = n**2 + 28. Give i(l(b)).
2*b**2 + 56
Let j(o) = -6*o**2 - 7. Let p(a) = 154*a**2. Determine j(p(k)).
-142296*k**4 - 7
Let s(l) = 11201*l. Let v(h) = 3*h**2. Determine s(v(j)).
33603*j**2
Let w(n) = -2*n. Let t(d) = 55145*d. What is w(t(p))?
-110290*p
Let l(y) = y. Let o(w) = 2*w**2 - 96692*w. Determine l(o(m)).
2*m**2 - 96692*m
Let r(x) = 22*x. Let v(h) be the first derivative of -6*h**2 + 78. What is v(r(a))?
-264*a
Let d(c) = 11 + 5199*c + 4 - 5198*c. Let l(v) = -v. Calculate d(l(g)).
-g + 15
Suppose -102 + 92 = -5*d. Let w(k) = -k + d*k - k - 2*k**2. Let q(b) = 21*b + 2. Give q(w(p)).
-42*p**2 + 2
Let r(d) be the third derivative of d**5/30 + 3*d**2. Let b(j) be the second derivative of -j**4/6 - 3*j. Calculate r(b(x)).
8*x**4
Let i(c) = -2*c**2. Let s(r) = -43481*r. Give i(s(f)).
-3781194722*f**2
Let v(p) = -3*p + 13. Let y(t) = 4*t**2 - 5*t + 10. Let m(l) = -3*l**2 + 4*l - 8. Let k(u) = -5*m(u) - 4*y(u). Determine k(v(h)).
-9*h**2 + 78*h - 169
Let g(w) = 9*w**2. Let p(s) = 119619*s. Calculate g(p(v)).
128778346449*v**2
Let u(m) = m. Let z(t) = 774*t**2 - 2*t + 1. Determine u(z(n)).
774*n**2 - 2*n + 1
Let i(u) be the second derivative of 5*u**3/6 - 4*u + 18. Let d(h) = -4*h**2. Give i(d(n)).
-20*n**2
Let t(i) = -12*i**2. Let h(a) = 3*a**2 - 2640*a - 2*a**2 + 2640*a. Calculate t(h(x)).
-12*x**4
Let j(l) = 10*l. Let z(k) = -62043*k. Calculate z(j(d)).
-620430*d
Let m(d) = -9*d**2 + 5*d - 5*d. Let j(c) = -c. Let b(h) = -5*h. Suppose 4 = -2*q
|
{
"pile_set_name": "DM Mathematics"
}
|
s b a composite number?
True
Let i = -1721 - -3237. Suppose -d + i = -2*s - s, 5*d = -4*s + 7523. Is d a prime number?
False
Let t(k) = 50*k**2 + 4*k + 1. Is t(7) a composite number?
True
Let d = 1063 - 666. Is d composite?
False
Let a(k) = -9*k**3 - 5*k**2 - 3*k + 4. Let f be ((-4)/((-40)/(-6)))/(1/5). Is a(f) a composite number?
False
Let f = 10065 + -1024. Is f composite?
False
Suppose 4*l + 42181 + 4144 = k, 2*l - 6 = 0. Is k composite?
False
Let y(s) = s + 9. Let a be y(-9). Suppose 0 = -a*g - 3*g + 18. Suppose -g*k = -11 - 379. Is k prime?
False
Suppose -2*o + 3*o = 5*h - 181965, 5*o + 36393 = h. Is (-6)/9*h/(-14) prime?
True
Is 4 - (-2912 + (-9 - 2)) composite?
False
Let p(z) = -4*z**2 + 3*z. Let u be p(6). Let v = u - -253. Is v a prime number?
True
Let k(d) = 38*d + 12. Let v be k(-6). Let m = v - -401. Is m prime?
False
Suppose 0 = -5*n + 15 + 5. Suppose 4*a = g + 33, -n*g = -0*a + 5*a - 36. Suppose -a*p = -4*p - 316. Is p a prime number?
True
Suppose -850 = q + q. Let o = q - -660. Let l = o + 16. Is l a prime number?
True
Suppose 0 = -246*v + 271*v - 5975. Is v composite?
False
Let f(o) be the third derivative of -65*o**4/2 - 7*o**3/6 + 37*o**2. Is f(-3) a composite number?
False
Suppose 35 = -5*l + 95. Let r(f) = 5*f**2 - f**3 + 15*f - 3*f**2 - 17 + 5*f**2 + 4*f**2. Is r(l) composite?
False
Suppose 16 = -4*d - 5*v, -v - 2 = 2. Suppose d = 2*n - 3. Suppose 379 = n*z - 51. Is z a composite number?
True
Let h(l) = 205*l - 1127. Is h(24) a prime number?
True
Suppose 2*v = -3*o + 15643, 0*v - 2*o = -4*v + 31262. Is v a composite number?
False
Let s(q) = 19578*q - 43. Is s(1) a prime number?
False
Suppose 5*m = 2*k + 30585, -4*k + 1210 = -4*m + 25666. Is m a prime number?
False
Let f be (1 + -1)*4/(-4) - 0. Suppose k - 1510 - 1081 = f. Is k a composite number?
False
Let z(g) = 21*g + 38. Suppose 0 = 7*i - 167 - 8. Is z(i) a composite number?
False
Suppose 2*t + j = -2*j - 2, 14 = 2*t - j. Suppose 182 = 2*y - 3*f, -126 = -3*y - t*f + 185. Is y a composite number?
False
Let u(p) = 103*p**2 + 6*p - 15. Is u(4) composite?
False
Let t(n) = 4095*n**3 + 19*n**2 - 34*n + 3. Is t(2) a prime number?
True
Let c be -1 - (-40 + (7 + -3)/(-1)). Suppose -c*r - 862 = -45*r. Is r a composite number?
False
Let z = 157 - -498. Suppose 3*y = 3*x + 534, 4*y - 62 = -x + z. Is y composite?
False
Let w(s) = -5331*s**3 + 18*s + 18. Is w(-1) a composite number?
True
Let u(r) = r**2 + 2*r + 1. Let i be u(-1). Let o = 382 + -380. Suppose -o*h + 38 - 8 = i. Is h a composite number?
True
Suppose 5*s + y - 13 = 0, 5*s + 3*y = 5*y + 4. Suppose 1 = -m + 7. Suppose s*v = 5*v - m. Is v composite?
False
Suppose 22*v - 608999 + 199293 = 0. Is v composite?
True
Suppose 1170 = -g - d, -2*d - 4676 = 4*g + 3*d. Let m = -801 - g. Is m a prime number?
True
Let l = 748 + -508. Let g = 643 - l. Is g a prime number?
False
Let j be 20/(-12)*(-54)/15. Let k(r) be the third derivative of 11*r**4/12 - r**3/6 + 3*r**2. Is k(j) prime?
True
Let b(p) = -p + 7. Let t(s) = s - 6. Let q(r) = 5*b(r) + 6*t(r). Let j(w) = -68*w**2 + 4*w - 5. Let m(h) = -j(h) + 6*q(h). Is m(-2) a composite number?
True
Let z(f) = 16*f**2 + 2 + 18*f**2 - 3. Let b(h) = -h**3 - 22*h**2 - 23*h - 41. Let q be b(-21). Is z(q) composite?
True
Is (-6 - -4 - -8544) + 1 + -1 prime?
False
Suppose -3*p = 2*p - 20. Suppose 4*t - p = 8. Is (-2640)/(-7 - -4) - t a composite number?
False
Is 35/14*1466/5*1 composite?
False
Let j(k) be the first derivative of -k**4/4 - 2*k**3 + 7*k**2 + 10*k + 3. Suppose 0 = -4*d - 5*i - 56, 3*d = 3*i - 2 - 13. Is j(d) prime?
True
Is 15/10 + 200156/8 composite?
True
Suppose -x - g - 14822 = 0, 2*x - 3*g = 2*g - 29644. Is 14/56 + x/(-8) prime?
False
Let n(i) = 5*i**2 + 2*i - 2. Let r = 16 + -16. Suppose 0 = -t - 2*w - 1, t - 2*t + 5*w + 20 = r. Is n(t) composite?
True
Is (3 - -139)/((-18)/(-117)) prime?
False
Suppose -2*c = 4*b + c - 31, 4*b - 11 = c. Suppose b*u + g - 16193 = 0, -3*u + 4*g + 14128 = 1969. Is u prime?
True
Let a = -4551 - -7983. Suppose 0 = -y + 5*i + a, -792 - 2650 = -y + 3*i. Is y a composite number?
False
Let d be 0/(-6*4/(-12)). Suppose 3*i = -5*r + 33 + 17, -3*i + 15 = d. Is r a composite number?
False
Let r(d) = d**3 - 6*d + 5. Let v(o) = -o**3 + 18*o**2 - 16*o - 11. Let j be v(17). Is r(j) a composite number?
True
Let k = 5142 - 2988. Suppose 10*m - 4*m - k = 0. Is m a composite number?
False
Let b = 9794 + 417. Is b a prime number?
True
Let z(n) be the first derivative of 18*n**2 + 13*n - 12. Is z(4) prime?
True
Let w(q) = -1231*q - 12. Is w(-5) a composite number?
False
Suppose -2*k = -q + 7, -q - k = 3*k + 11. Let a be (-25070)/(-40) - q/(-4). Suppose 2*i - 5*i + a = 0. Is i prime?
False
Let s(q) = q**3 - 11*q**2 - 12*q - 1. Is s(16) composite?
False
Let s = 71 + -71. Suppose s = 19*g - 24*g + 6005. Is g composite?
False
Let f(b) = -181*b - 6. Is f(-11) a composite number?
True
Let u = 56 - 51. Let w(q) be the second derivative of 3*q**4/4 - q**3/6 + 3*q**2/2 - q. Is w(u) prime?
True
Let p = 42 - 40. Suppose 0*t = p*t - 634. Is t a composite number?
False
Is 48129/(-2)*(-20)/30 a prime number?
False
Let u = 85967 - 41950. Is u composite?
False
Let r = -3796 - -11163. Is r a prime number?
False
Let f be (-333)/27 - (-2)/(-3). Let a = f + 18. Suppose -b = m + m - 147, 0 = -a*b - m + 780. Is b a prime number?
True
Is 4/7 + 28026/126 a composite number?
False
Let y = -2 + -1. Is (185 - (2 + 1)) + y a prime number?
True
Suppose -5*q - 24 = 4*z - 0, 0 = 4*q + 16. Suppose -3*y = -k + 2*y - 235, 5*y = 4*k + 880. Is z + 5 - 8 - k composite?
False
Let v be (-2)/(-7) - 208/(-56). Let q be v + (-3)/3 - 0. Suppose -2*t - 3*y = -4 + 12, 4*y = -q*t - 10. Is t a prime number?
True
Let d(a) = -38*a + 9. Let b be d(-8). Suppose k + 5*x = b, -x = -0*k + 4*k - 1176. Is k a composite number?
False
Let h(n) = -2*n**2 - 9*n + 10. Let g(m) = -m**2 - 4*m + 5. Let k(r) = 11*g(r) - 6*h(r). Is k(-14) prime?
False
Let b(c) be the second derivative of -c**3/6 + c**2/2 - 6*c. Let w be b(-1). Suppose o - 4*n = 211, 4*n - 553 = -w*o - o. Is o a prime number?
True
Suppose -a = -3 - 1. Is 564388/110 + (a/(-5) - -1) a composite number?
True
Is 40/30 - ((-8444)/3 + -3) a prime number?
True
Let g = 17 + 68. Let k(y) = 9*y + 7. Let l be k(-5). Let j = g + l. Is j a composite number?
False
Let j(s) = -25*s**2 + 6*s + 1. Let g = 27 - 34. Let t be j(g). Let f = -635 - t. Is f a composite number?
False
Let l(a) = 2*a + 9*a - a**3 + 0*a + 6 + 3*a**2. Let x be l(-8). Let d = x + -291. Is d a composite number?
False
Suppose -2 = -r - 0. Suppose -r*f = f + 27. Is (3/f)/((-1)/45) a composite number?
True
Suppose -3*y + 12 = 0, -3*b + 6*y = 2*y - 8765. Is b a prime number?
True
Suppose -2*p - 2*s = -s, -2*p - 4*s + 12 = 0. Is (-5013)/(-36) - p/(-8) a prime number?
True
Let f(b) = -3*b**2 - 9*b - 3. Let v = -13 + 14. Let y(d) = d**2 + d - 1. Let j(o) = v*f(o) + 4*y(o). Is j(-6) a composite number?
False
Is ((-75275)/125)/((-2)/10*1) a composite number?
False
Let u(m) = 41*m**2 + 31*m - 19. Is u(12) a composite number?
False
Let g be ((-3)/6)/(2/(1984/(-2))). Let u = 637 - g. Is u prime?
True
Suppose -3*l - 15 = 0, -5*s - l - 265 = -s. Let m = s + 332. Is m a prime number?
False
Let s be ((-4)/(-12))/(1/(-3)). Let c(z) = z**2 + 1. Let i be c(s). Is (-2661)/(-15) - i/5 prime?
False
Let t(o) be the third derivative of -o**5/10 - 13*o**4/24 - o**3 + 6*o**2. Let q(v) be the first derivative of t(v). Is q(-12) prime?
True
Let j = -10 + 17. Let u be 5*(2 - j/5). Suppose u*y - 5*g - 422 = 0, y + 29 = 4*g + 172. Is y a composite number?
False
Suppose 2*h = 4 + 2. Let w be h/7 + 12/(-28). Suppose -2*g - 3*g + 671 = -2*a, g + 2*a - 127 = w. Is g composite?
True
Let o = -22 - -18. Is 955 + 1 + o + 6 a composite number?
True
Let g = -277 - -528. Is g composite?
False
Let d = 14 - -425. Is d prime?
True
Let s be 123/(-2)*(3 + -5). Let t = s + 266. Is t prime?
True
Suppose -m + 4*j = 3*m - 36, 5*j = -20. Suppose -w + m*w = 0. Suppose 3*y = -d + 3*d - 576, 3*d + y - 875 = w. Is d a prime number?
False
Let s(g) = 3*g**2 - 14*g + 26. Let i be s(9). Let b = i + -32. Is b composite?
True
Let z(b) = -6118*b - 201. Is z(-5) prime?
True
Suppose -5*p - y = -5*y - 19, 0 = -3*p - y + 8. Suppose 6 = -p*z + 12. Is 9/(-6) - (-625)/z a prime nu
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*w)*(2*w - 3*w - w) - 28*w + 28*w - 40*w**2 - 75*w**2.
-116*w**2
Expand -2*r**2 - 3*r**2 + 8*r**2 + (0*r - 6*r + 2*r)*(1 - 2*r - 1) + 1 + 2*r**2 - 1.
13*r**2
Expand 340*v**3 + v - 653*v**3 + 332*v**3 + 2*v**3 - 3*v**3 + 0*v**3 + (-1 - 2 + 4)*(v**3 - 5*v**3 + 3*v**3) + (13 - 13 + v**2)*(0*v + 5*v - 6*v).
16*v**3 + v
Expand (0 + 1 - 3 + 2 - 2 + 2 + (-1 + 3 - 1)*(4 - 4 - 1) + 2 + 2 + 1)*(n - n - 3*n) - 3*n + 0*n + 5*n + (-5 + 1 + 2)*(-5*n + 2*n + n).
-6*n
Expand (4 + 0 - 6 + (-2 + 1 + 0)*(-2 + 1 - 2))*(-9*s + 2*s**3 - 14*s + 3*s)*(-1 - 2 + 1).
-4*s**3 + 40*s
Expand (-309 + 309 + 28*f**3)*(f + 24 - 24).
28*f**4
Expand (-5*f - 4*f + 0*f)*(-1 + 1 + f)*(-2 + 0 + 3).
-9*f**2
Expand (-3*m**2 + 3*m**2 - m**2)*(-1 + 26*m - 2 - 2*m**3 - 27*m).
2*m**5 + m**3 + 3*m**2
Expand (1 - 1 + 3*x)*(42*x + 26*x + 35*x - 37*x).
198*x**2
Expand (2*q**3 + 2*q**3 - 5*q**3)*(1 + 2*q - 1)*(85 + 32 + 14) - 5*q**4 + 0*q**4 + 3*q**4 + (-4*q + q + 2*q)*(-2*q**3 + q**3 + 0*q**3) + 3 - 3 - 2*q**4.
-265*q**4
Expand (3*o + o - 2*o)*(12 + 12 + 26) + o - 3*o + 3*o + (-3 + 7 - 2)*(o + 4*o - 3*o) - 3*o - 3*o + 4*o + 2 - 2 + o.
104*o
Expand 28*p**3 + 19*p**3 + 6037 - 6039 + (0*p + p - 2*p)*(-3*p + 2*p**2 + 3*p).
45*p**3 - 2
Expand 0*h**3 + 0*h**3 + 3*h**3 + h**3 + h**3 + h**3 + (8 - 1 - 3)*(-h + h - h**3).
2*h**3
Expand (3 + 3 - 5 + (0 + 2 + 0)*(0 + 1 - 3) - 3 + 1 + 1)*(20 + 3*a - 20) + 5*a - 4*a + 0*a.
-11*a
Expand (2 + 0 + 0)*(-2 + 12 + 26)*(-2*o**2 + 3*o**2 - 4*o**2).
-216*o**2
Expand ((p + 1 - 1)*(-1 + 3 - 4) - 3*p - 4 + 4)*(-4 + 3 + 3 + (1 + 0 + 0)*(-6 + 5 + 3) + 7 - 3 + 11).
-95*p
Expand 0*p**4 + 2*p**4 + 0*p**4 - 5*p**4 + 3*p**4 + 4*p**4 + (5 - 1 - 2)*(3*p**4 + 3 - 3) + (-7*p**3 + 2*p**3 + 0*p**3)*(-4*p + 0*p + 0*p).
30*p**4
Expand (2 + 0 + 2)*(4*h - h - h) - 24*h + 16*h + 19*h.
19*h
Expand (-o + o - o)*(-14*o - 128 + 128) + 2 + o**2 + 6*o**2 - 5*o**2.
16*o**2 + 2
Expand (13*l - 13*l + 4*l + 0*l - 4*l + 5*l + (1 - 3 + 1)*(-3*l + 3*l - l))*(-101*l + 93*l + 0 + 2).
-48*l**2 + 12*l
Expand (-387*c**4 + 493*c**4 + 459*c**4)*(-2*c + 0*c + c).
-565*c**5
Expand (15*v**2 + 41*v + 14*v**2 - 44*v)*(2 + 0 - 1)*(-5 + 1 + 1)*(1 + 4 - 4).
-87*v**2 + 9*v
Expand -4*w - 1 - w + 9*w**2 - 8*w**2 + (6*w + 2*w - 3*w)*(-2*w - w - 2*w).
-24*w**2 - 5*w - 1
Expand 3*t**2 - t**2 - t**2 + (-10515 + 10515 - 255*t)*(t + t - t).
-254*t**2
Expand (b + b - b - 2*b + b + 2*b + (0 + 1 + 1)*(-4*b + 4*b + 2*b) + 2*b - 1 + 1)*(667 + 12*b - 667)*(0*b**2 + 3*b**2 - b**2).
192*b**4
Expand (321 - 24 + 183 + 10)*(-6*b - 2*b + 0*b).
-3920*b
Expand (-2*p + 2*p + p**2)*(-10*p + 6*p - 10*p) - 44*p**3 - 51*p**2 + 51*p**2.
-58*p**3
Expand -2*g + g + 3*g + (g - 2*g + 3*g)*(4 - 2 + 0) + 7 - 7 + 5*g + (-3*g - g + 5*g)*(-4 - 2 + 4).
9*g
Expand (42 + 2 - 10)*(-2*l**3 + 0*l**3 - 2*l**3).
-136*l**3
Expand (-1 - k**3 + 1)*(34*k**2 - 5*k**2 + 6*k**2).
-35*k**5
Expand -1 + 3 - 1 - 4*s + (2 - 1 + 1)*(2*s - 9*s + 4*s).
-10*s + 1
Expand 16*c**5 - 6*c**5 - 2 - 11*c**5 - 3*c**2 + (-c + c**2 + c)*(4*c**3 - 4*c**3 - 6*c**3) + 6*c**5 - 3*c**5 - c**5.
-5*c**5 - 3*c**2 - 2
Expand (333*l - 40*l + 135*l + 50*l)*(l + l - 3*l).
-478*l**2
Expand (-6*a + 6*a - 1572*a**2 + 37 + 1578*a**2)*(-3*a**2 + 3*a - 3*a).
-18*a**4 - 111*a**2
Expand (5 + 3*p**3 - 5)*(p**2 + 1 - 1) + (-p**3 - 5*p**3 + 4*p**3)*(-2*p**2 + 0*p**2 + 0*p**2) - 4*p**5 + 2*p**5 + 9*p**5.
14*p**5
Expand (5*j - j - 3*j + (j + 2*j + 0*j)*(6 - 1 - 1))*(-3 - 1 + 1).
-39*j
Expand (60831*b**2 + 2*b**3 - 60831*b**2 - 245)*(-2*b**2 + 2*b**2 - b**2).
-2*b**5 + 245*b**2
Expand ((-6*l + 0*l + 4*l)*(-3 + 0 + 5) + l - 8*l - 3*l + 4*l - 5*l + 4*l)*(-4 + 4 + 2*l + (-1 - 3 + 0)*(0*l + l + l)).
66*l**2
Expand (0 - 5 - 1)*(-7*r - 3*r - r)*(0 - 2 - 1 + (3 - 5 + 0)*(-1 + 5 - 3) + (-1 - 2 + 1)*(-3 + 2 - 1) - 2 + 0 + 0).
-198*r
Expand (-2*c**3 + c**3 + 0*c**3)*(2*c + c - 2*c) + 0*c**4 + 0*c**4 - 3*c**4 + (-2 - 1 - 1)*(4*c**2 - 4*c**2 - 6*c**4)*(0 + 4 - 5).
-28*c**4
Expand (-31 + 31 - 8*a)*(a - 2*a + 2 - 1) - 2*a**2 + 2*a**2 + 2*a**2 + (-3*a + 3*a - 2*a**2)*(-3 + 2 + 4).
4*a**2 - 8*a
Expand (h + 2*h**2 - h)*(5*h**3 - 5*h**3 - h**3) + h + 3*h**5 - h + 46*h**4 - 22*h**4 - 7 - 25*h**4 - 3*h**5.
-2*h**5 - h**4 - 7
Expand (-f**2 - 3*f**2 + 5*f**2)*((-1 - 1 + 0)*(-4 + 1 + 5) - 4 - 2 + 4 + 39 + 227 - 48).
212*f**2
Expand (15*p**2 - 8*p**2 + 8*p**2)*(-p**3 - 3*p**3 + 2*p**3 - 2*p**3).
-60*p**5
Expand (2*u + 0 + 0 + 1)*(-45*u + 47*u - 16 - 2).
4*u**2 - 34*u - 18
Expand (1 + 0 + 0)*((-3*v + 0*v + v)*(-4 - 2 + 2) - 6*v + 0*v - 7*v + (3 - 3 - 3)*(-2*v + 1 - 1)).
v
Expand 4*c**2 + 2*c**3 - 4*c**2 + (-4 + 4 - 2*c**3)*(-3 - 2 + 3) - 5 + 2*c**3 - 286*c**2 + 286*c**2 + 4*c.
8*c**3 + 4*c - 5
Expand -15*s**2 + 9*s**2 + 3*s**2 + (5*s - 4*s - 2*s)*(4 + s - 4).
-4*s**2
Expand -25*g + 47*g + 52*g + 2*g + g - 5*g + (-3 + 0 + 1)*(3*g + g - g).
66*g
Expand (-1 + 2*g**3 + 1)*(3*g - 5*g - g) + 433*g**3 - 433*g**3 - 56*g**4.
-62*g**4
Expand (-f**2 + 4*f**2 + f**2)*(f + 2*f - f) + 210*f + 3*f**3 - 21*f**2 - 208*f + 0*f**3.
11*f**3 - 21*f**2 + 2*f
Expand (5 - 4 - 4)*(9*l + 8*l - 27*l)*(-l - l + 4*l).
60*l**2
Expand (5*n**4 + 2*n**4 - 2*n**4)*(5 - 5 - 11*n)*(-1 + 2 + 1)*(-1 - 3 + 2).
220*n**5
Expand (1364 + 1114 - 4 + 628)*(-5*t + 3*t + 0*t).
-6204*t
Expand (-20 + 0 + 10)*(2 + 2 - 3)*(3*r + 1 - 1).
-30*r
Expand (-3 - 3 + 4)*(4 - 1 - 9)*(-7 + 3 - 2)*(-4*z + 2*z + z).
72*z
Expand (3*o**2 + 6*o**2 + 11*o**2)*(3 + 15*o - 6 + 1).
300*o**3 - 40*o**2
Expand (-1 + 1 + m)*(-2*m + 15 + 6*m - 2*m)*((2*m**2 - 3*m**2 + 12*m**2)*(1 - 2 + 0) + 0*m**2 + 2*m**2 - 4*m**2).
-26*m**4 - 195*m**3
Expand (2*c**4 + 0*c + 0*c)*(2 - c - 2) + (-3*c**3 + 2*c**3 + 8*c**3)*(-5 + 7*c**2 + 5).
47*c**5
Expand -7*u**2 + 67*u**2 - 8*u**2 + u**2 + 2*u - 2*u + (3*u + 3*u - 4*u)*(2*u - 2*u + 2*u) + 3 - 3 - 2*u**2 + 5*u**2 - u**2 - 2*u**2.
57*u**2
Expand (2 + 0 - 3)*(36*r + 2*r + 374 - 35*r)*(4*r**3 + 0*r**3 - 2*r**3).
-6*r**4 - 748*r**3
Expand -2*b**3 + 2*b**3 - 3*b**4 + (5 - 3 + 6)*(3*b**2 - 3*b**2 + 3*b**2)*(4*b**2 - b**2 - 2*b**2).
21*b**4
Expand (-2 + 4 - 1)*(-4*u + 5*u + u) + (-2 + 1 + 2)*(-13*u + 8*u + 7*u + 8).
4*u + 8
Expand (209*l - 337 + 337)*(-4 - 1 + 3).
-418*l
Expand (0 + 0 - 2*n)*(2*n**3 - 2*n**3 + 2*n**4) + 120*n**5 - 250*n**5 + 154*n**5.
20*n**5
Expand -16*m**2 + 27*m**2 - 4 - 15*m**2 + (0*m - m - m)*(2*m - 2 + 2).
-8*m**2 - 4
Expand -3*r**2 + 1 - 1 + 0*r**2 - r**2 + 0*r**2 + (3 + 2*r - 3)*(-r + r - 2*r) - 2*r + 2*r + 3*r**2 - 8*r**2 + 4*r + 5*r**2 + 2*r**2.
-6*r**2 + 4*r
Expand (10 + 2*f**2 - 10)*(3*f**2 - 17 + 17)*(0 - 4 + 5) + (f + 0*f - 2*f)*(-13*f**2 - 17*f**3 + 13*f**2).
23*f**4
Expand 0*i**2 - 2*i**3 + 0*i**2 + i**2 - 2*i**3 - i**2 + (3*i**3 - 3*i**3 + i**3)*(1 - 3 + 3) - 14*i**3 + 5 + 2 + 16*i**3.
-i**3 + 7
Expand (b + 1 + b - b)*(13 - 80 + 0).
-67*b - 67
Expand (-20 + 51 - 158)*(-3*s + 0*s + s)*(-s + 5*s - 3*s).
254*s**2
Expand (4 - 4 - 1)*(-115 + 130 - 385*f + 365*f).
20*f - 15
Expand (-2 + 3 + 0)*(-3 - 1 + 2 - y) - 147*y + 295*y - 2 + 3.
147*y - 1
Expand (12*h**3 + 8*h**3 - h**3)*(-18 + 18 - 6*h)*(-1 - 2*h + 1).
228*h**5
Expand (s + 2 - 2)*(4*s**2 + s**2 - 4*s**2) + 45648*s**2 + 496*s**3 - 45648*s**2.
497*s**3
Expand (208 - 208 - 61*y)*((0 + 1 + 0)*(0 + 0 - 1) + 2 - 2 - 1).
122*y
Expand 709*q**5 - 418*q**5 - 386*q**5 + (0*q**4 + q**4 - 3*q**4)*(2*q - q + 0*q) - 3*q + 3*q - q**5.
-98*q**5
Expand (-12 - 70 - 43)*(0 - 3 + 0 + (-1 + 5 - 5)*(0 - 1 + 2) - 2 + 3 - 2 - 4 + 1 + 2)*(1 - 1 - 2*r).
-1500*r
Expand (-y + 2*y - y**2 - 2*y**2)*(1 + 1 + 0)*(0*y - 2*y + 0*y)*(12*y - 21*y**2 - 12*y).
-252*y**5 + 84*y**4
Expand -5 - 1 + 2 - 2*j + 3*j + 0*j - j + (1 + 3 - 2)*(5 - 5 - 2*j).
-4*j - 4
Expand (-1 + 6 - 1)*((0*z + 0*z + 3*z)*(0 + 2 - 1) + 10*z - z - 5*z).
28*z
Expand (-3*u**2 - 7*u**2 - 14*u**2)*(4 - 5 + 3) - 2 + 2*u**2 + 2 + 0*u**2 + 0*u**2 + 2*u**2.
-44*u**2
Expand (-2211 - 82*k**3 + 2211)*(3*k + k - 6*k)*(2*k - k + 5*k).
984*k**5
Expand (-y**2 - 3*y + y - 2*y**2)*(1 + 115 - 10).
-318*y**2 - 212*y
Expand (-103 - 15*l + 103)*(9 - 4 + 6).
-165*l
Expand (-u**5 - 2*u**3 + 2*u**3)*(-2 + 3 - 3) + u**3 + 3*u**5 - u**3 + (u**3 - 3*u**4 - u**3)*(-107 + 107 - 7*u) + u**5 + 2*u**5 - u**5.
28*u**5
Expand (78*v - 78*v + 267*v**2)*(v - v - 2*v**2).
-534*v**4
Expand (6*b + 151*b + 5*b + 10*b)*(-1 + 1 - b)*(1 + 0 - 3).
344*b**2
Expand (64*u**3 - 50*u + 288*u - 63*u**3)*
|
{
"pile_set_name": "DM Mathematics"
}
|
e third derivative of p(d) wrt d?
12
Let v(d) be the third derivative of -1/2*d**3 + 0 + 0*d + 0*d**4 + 0*d**5 + 1/40*d**6 + 3*d**2. Differentiate v(o) wrt o.
9*o**2
Let t(v) = v**3 + v**2 + v. Let y(r) = -2*r**4 + 3*r**3 - 10*r**2 + 3*r. Let f(p) = 3*t(p) - y(p). Find the third derivative of f(s) wrt s.
48*s
Suppose -2*a + b = -3, -a - 2 - 1 = -5*b. What is the third derivative of 4*u**a + 7*u**5 + u**2 - 3*u**2 wrt u?
420*u**2
Let o(s) be the second derivative of -5*s + 3/2*s**2 + 5/6*s**3 + 0. Differentiate o(r) with respect to r.
5
Let y(s) = -6*s**3 + 3*s**2 + 4. Let k(h) = 5*h**3 - 3*h**2 - 3. Let l(r) = 4*k(r) + 3*y(r). What is the third derivative of l(c) wrt c?
12
Let m(y) = -y**2 - 7*y + 2. Let t be m(-7). What is the third derivative of j**2 - j**2 + j**2 - 2*j**6 - 4*j**t wrt j?
-240*j**3
Let l(f) be the first derivative of -3*f**4 - 2*f**2 - 10. Find the second derivative of l(p) wrt p.
-72*p
Let j be ((-6)/4)/((-6)/8). Find the third derivative of -2*t**4 + 3*t**4 + 23*t**2 - 24*t**j wrt t.
24*t
Let t(f) = f. Let b(o) = -12*o**3 - 4*o - 4. Let p(q) = b(q) + 6*t(q). Differentiate p(m) with respect to m.
-36*m**2 + 2
Find the third derivative of -191*r**3 + 0*r + 23*r**2 + 0*r + 159*r**3 wrt r.
-192
Suppose 4*c + 18 = 2*f, 3*c - 6*c = -2*f + 15. What is the third derivative of -3*b**4 - b + 0*b**2 + b + f*b**2 wrt b?
-72*b
Let w(f) = -13*f**4 - 10. Let x(m) = m**4 + 1. Let b(k) = -w(k) - 4*x(k). Differentiate b(g) wrt g.
36*g**3
Let x(q) = 2*q**3 - 6*q**2 - 5*q + 5. Let w(g) = -2*g**3 + 6*g**2 + 6*g - 6. Let o(s) = 5*w(s) + 6*x(s). Find the third derivative of o(y) wrt y.
12
What is the derivative of -107*p**3 + 52*p**3 - 7 + 45*p**3 wrt p?
-30*p**2
Let g(r) be the third derivative of 9*r**5/20 - 5*r**4/3 + 14*r**2. Find the second derivative of g(o) wrt o.
54
Find the second derivative of -66*x**3 + 107*x**3 - 47*x - 63*x**3 wrt x.
-132*x
Let h = 0 - -3. What is the first derivative of -2*o**3 + 0 + 3*o**3 + 2 - h wrt o?
3*o**2
Let c(l) be the second derivative of -l**4/4 + 7*l**3/6 - 3*l. Find the second derivative of c(p) wrt p.
-6
Let i(f) = -f + 1. Let p(x) = -12*x - 1. Let v(q) = -3*i(q) + p(q). Find the first derivative of v(k) wrt k.
-9
Let x(f) be the third derivative of -f**5/6 - 3*f**4/8 + f**2. What is the second derivative of x(p) wrt p?
-20
Let n = 10 + -7. Differentiate 3*v**3 - v**3 - n - 3*v**3 wrt v.
-3*v**2
Let r(p) be the third derivative of -p**6/8 - 5*p**4/6 + 17*p**2. Find the second derivative of r(g) wrt g.
-90*g
Let s(w) be the third derivative of 0*w**3 - 3*w**2 - 1/24*w**4 + 0*w + 0 + 1/40*w**6 + 0*w**5. Find the second derivative of s(d) wrt d.
18*d
Let a be (2/5)/((-2)/(-10)). What is the second derivative of -6*m + 4*m + 2 - 2 - a*m**3 wrt m?
-12*m
Let p(r) be the second derivative of 0 + 0*r**4 + 0*r**5 + 1/15*r**6 + 0*r**2 - 4*r + 5/6*r**3. Find the second derivative of p(m) wrt m.
24*m**2
Suppose 6*f = 1 + 11. Let q(j) be the third derivative of 0*j**5 + 0*j**3 + 1/60*j**6 + 0*j - 1/12*j**4 + j**f + 0. What is the second derivative of q(u) wrt u?
12*u
Let i be -2 + 5/(15/6). Let c(r) = i + 2 - 4 + 4*r. Let h(t) = -5*t + 2. Let j(s) = 6*c(s) + 5*h(s). What is the first derivative of j(q) wrt q?
-1
Let g(x) = x**4 + x**3 - x**2. Let v(a) = -3*a**3 - 1 + 2 - 2*a**4 - 1. Let f(j) = -3*g(j) - v(j). Find the third derivative of f(w) wrt w.
-24*w
Let r(s) be the first derivative of 0*s**4 - 3/5*s**5 - 3*s**2 + 0*s**3 + 0*s - 5. Find the second derivative of r(n) wrt n.
-36*n**2
Let x(h) = 26*h**3 - 11*h**2. Let g = 9 - 3. Let p(f) = -9*f**3 + 4*f**2. Let b(m) = g*x(m) + 17*p(m). Find the third derivative of b(c) wrt c.
18
What is the third derivative of -7*d**2 - 30 + 2*d**3 + 30 wrt d?
12
Let f = -4 + 7. Find the first derivative of 0*j**f + 11*j**4 - 3 - 12*j**4 + 0*j**3 wrt j.
-4*j**3
Let c(r) = -r - 8. Let f be c(-11). What is the derivative of -2 - f - 12*g + 4*g wrt g?
-8
Let h(g) = 149*g**2 + 75*g + 11. Let b(t) = -50*t**2 - 25*t - 4. Let j(z) = -11*b(z) - 4*h(z). Find the second derivative of j(x) wrt x.
-92
Suppose 0 = -3*p + p + 4. Let q(g) be the second derivative of -g**p + g + 0*g**3 - 1/6*g**4 + 0. Differentiate q(k) wrt k.
-4*k
Let g(v) = -33*v**2 - 7. Let t(q) = 100*q**2 - q + 23. Let i(p) = 7*g(p) + 2*t(p). What is the second derivative of i(d) wrt d?
-62
Let p(a) be the second derivative of -49*a**6/30 - 17*a**2/2 - a. What is the derivative of p(o) wrt o?
-196*o**3
Suppose 4*l + 61 = 3*a, -a - 94 = -5*a - l. What is the third derivative of -6*c**6 + 20*c**2 - a*c**2 + 2*c**6 wrt c?
-480*c**3
Suppose 2*o + 5*w - 14 = 0, 4*w - 6 = -o + 2*w. Let t = -2 - -3. Differentiate 2 - t - g**4 - o*g**4 with respect to g.
-12*g**3
Let k = -6 + 4. Let n be 8 + k/(-1)*-1. What is the third derivative of 4*h**2 - h**2 - h**2 + 3*h**n wrt h?
360*h**3
Let c(z) = z**3 + 3*z**2 + z - 2. Let u be c(-2). What is the second derivative of u*f - 5*f**2 - f + 4*f + 2*f wrt f?
-10
Find the second derivative of -20 + 8*p + 15*p**2 + 8*p + 20 wrt p.
30
Let z be (-40)/(-22) - (-8)/44. What is the second derivative of -z*s + 7*s - 4*s + 3*s**4 wrt s?
36*s**2
Let r(f) be the first derivative of 5*f**5 + 16*f + 14. What is the derivative of r(x) wrt x?
100*x**3
Find the second derivative of 17*s**2 + 7*s**2 + 321 - 321 + 4*s wrt s.
48
Let r(s) = s**2. Let a(z) = 7*z**4 - 13*z**2. Let y(b) = a(b) + 4*r(b). Find the third derivative of y(v) wrt v.
168*v
Let a(r) = r**2 + 4. Let o(h) = h**2 - 5*h + 6. Let l be o(7). Let f(v) = -8*v**2 - 28. Let i(b) = l*a(b) + 3*f(b). What is the first derivative of i(c) wrt c?
-8*c
Let c(s) = 5*s**5 - 4*s**4 + 4*s**3 - 23*s + 4. Let m(r) = -r**5 - r**4 + r**3 - r + 1. Let o(p) = c(p) - 4*m(p). Find the second derivative of o(v) wrt v.
180*v**3
Let a(s) be the second derivative of -s**6/180 + s**4/24 - 5*s**3/6 - s. Let t(y) be the second derivative of a(y). What is the derivative of t(l) wrt l?
-4*l
Let y be 2/1*(-6)/(-4). Suppose 4*g - 7*h - 4 = -y*h, 6 = 3*g - 2*h. What is the third derivative of -6*j**4 + 2*j**g + j**2 + 3*j**4 wrt j?
-24*j
Suppose -h - 27 = -5*m, 5*m - 4*h = m + 12. Let k = m + 0. Find the third derivative of -a**5 + a**5 - 2*a**2 - a**k wrt a.
-120*a**3
Let t(v) = -v**4 + v**3 - v**2 + 1. Let h(i) = -14*i**4 + 5*i**3 - 5*i**2 - i + 5. Let j(k) = h(k) - 5*t(k). Find the second derivative of j(n) wrt n.
-108*n**2
Let t(k) = -k**3 + 7*k**2 + 9. Let m be t(7). Suppose -4*h = 5*l + 12 + 1, -2*h + 3*l + 21 = 0. Differentiate m - 4 - 3 - 3*a**h with respect to a.
-9*a**2
Let r(j) = 3*j - 27. Let h(a) = -2*a + 26. Let i(k) = 5*h(k) + 4*r(k). What is the first derivative of i(g) wrt g?
2
Let x(h) be the second derivative of h**9/3780 + h**7/420 - h**4/4 - 7*h. Let f(q) be the third derivative of x(q). What is the third derivative of f(m) wrt m?
96*m
Find the first derivative of -18*w**2 + 5 + 5*w**2 + 7*w**2 wrt w.
-12*w
Let n be 11/4 - 1/(-4). Find the third derivative of -3*a**3 + 2*a**3 + a**n + a**2 + 5*a**6 wrt a.
600*a**3
Suppose 0 = 4*m - 4*p - 4, 0 = -m - 2*p + 3 - 2. Let r be (-1)/(-3) - m/3. Find the second derivative of y**4 + y + 2*y**4 + r*y wrt y.
36*y**2
Let a(x) be the first derivative of 2/3*x**3 + 3 + 0*x + 1/4*x**4 + 0*x**2. Find the third derivative of a(l) wrt l.
6
Suppose 0 = 5*h - 7*h + 4. Let p(o) = -1 - 2 + 2*o + 2. Let k(x) = x**2 + 7*x - 3. Let g(y) = h*k(y) - 7*p(y). What is the derivative of g(z) wrt z?
4*z
Let c = -59/12 + 31/6. Let d(x) be the first derivative of -x + 1 + c*x**4 + 0*x**2 + 0*x**3. Find the first derivative of d(r) wrt r.
3*r**2
Suppose -4*r = q + 74 + 59, 2*q = 3*r + 86. Let x be 6/(-21) + r/(-14). What is the second derivative of -x*y**4 + 4*y - y - 4*y wrt y?
-24*y**2
Suppose -12 = -4*f + 4*g - 0*g, f = -3*g + 3. Differentiate 1 - f*z**4 + 0 + 2 - z**4 wrt z.
-16*z**3
Let l(b) = b**4 + 7*b**3 - 7*b + 10. Let o = -4 - -6. Let r(j) = 2*j - 2*j**3 + 1 - 2 - o. Let v(c) = 2*l(c) + 7*r(c). What is the derivative of v(n) wrt n?
8*n**3
Let r(a) = a - 3. Let i be r(5). Suppose x = 3*b + 2, -5*x + 10 = -2*b + 4*b. What is the third derivative of 0*c**2 + 0*c**x - c**i - 2*c**3 wrt c?
-12
Let x(d) = d**2 + 7*d + 12. Let l be x(-5). What is the third derivative of -2*q**5 - 13*q**2 + 21*q**l - 4*q**5 wrt q?
-360*q**2
Let g(c) be th
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{
"pile_set_name": "DM Mathematics"
}
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o) = -2*o**3 - 3*o - 3. Determine h*l(d) + 3*y(d).
-2*d**3
Let g(k) = -4*k + 0 - 3 - 10*k. Let t(x) = -9*x - 2. Suppose 0 = -4*o + 3*p + 20, 4*o + p - 48 = -3*p. Determine o*t(u) - 5*g(u).
-2*u - 1
Let l(n) = -n + 6. Let b(h) be the first derivative of -2*h - 11. What is -6*b(q) - 2*l(q)?
2*q
Let p(o) = -3*o**3 - 5*o + 5. Let t(m) = 4*m**3 + 7*m - 7. Let w = -9 + 2. Let c(y) = -6*y + 1. Let k be c(1). Let g be (k/(-2))/(2/(-4)). Give g*t(l) + w*p(l).
l**3
Let r(c) = -5*c - 5. Let z(q) = -2*q - 3. Determine -4*r(a) + 9*z(a).
2*a - 7
Let w(t) = -4*t - 1. Let y(n) = 3*n - 1. Let b(j) = 1. Let r(x) = 2*b(x) + y(x). Give -7*r(m) - 6*w(m).
3*m - 1
Let r(q) = q**3 + q**2 - q - 1. Let t(g) = -5*g**3 - 9*g**2 + 9*g + 4. Let d(b) = b**2 - b. Let o(w) = -5*d(w) - t(w). Calculate o(x) - 4*r(x).
x**3
Let a(l) = -l**3 + l**2 + l. Let p(b) = 2*b**3 - 3*b**2 + b. What is -3*a(y) - p(y)?
y**3 - 4*y
Let l(d) = -18*d - 9. Let r(x) = 27*x + 14. Calculate -8*l(u) - 5*r(u).
9*u + 2
Let v(o) be the first derivative of -2*o**3/3 + o**2/2 + 2*o + 34. Let z(f) = 4*f**2 - f**3 - 3*f**2 - 1 + 0*f**2. What is -v(x) - 2*z(x)?
2*x**3 - x
Let d(b) = -3*b**3 + 5. Let x(c) = 3*c**3 - 4*c**2 + 4*c - 2. Let v(j) = -3*j**3 + 3*j**2 - 3*j + 3. Let t(f) = -4*v(f) - 3*x(f). Give -6*d(g) - 5*t(g).
3*g**3
Let v = 9 - 4. Suppose 5*b = 3*s + b + 27, v*s + 19 = -2*b. Let m(n) = 2*n**2 + 3*n. Let f(c) = -2*c**2 - 4*c. Calculate s*m(j) - 4*f(j).
-2*j**2 + j
Let v(d) = 5*d - 1. Let r(x) = x + 1. Let o(h) = -3*r(h) + v(h). Let l(t) = t - 1. Determine 3*l(k) - o(k).
k + 1
Let u(a) = a. Let o(l) = 2*l**2 + 8*l - 2. Determine o(n) - 10*u(n).
2*n**2 - 2*n - 2
Let t(r) = -r. Let q(f) = -f**2 + 2*f. Give 2*q(g) + 7*t(g).
-2*g**2 - 3*g
Let k(w) = 10*w**3 - 10*w + 1. Let v(q) = 7*q**3 - 7*q + 1. Give 5*k(j) - 7*v(j).
j**3 - j - 2
Let l(i) = -i**2 + 4*i + 5. Let m(n) be the third derivative of -n**4/12 - n**3/3 - 10*n**2. Determine 2*l(q) + 5*m(q).
-2*q**2 - 2*q
Suppose -4*x = -16 - 4. Let q(a) = 7*a**2 - 7*a + 5. Let l(j) = 4 - 6*j + 9*j**2 - 3*j**2 + 0*j. Determine x*l(g) - 4*q(g).
2*g**2 - 2*g
Suppose 0 = 4*h - 1 - 3. Let w(v) = h - 4 + 4 + 9*v. Let n(q) be the third derivative of -13*q**4/24 - q**3/6 - q**2. Determine 5*n(r) + 7*w(r).
-2*r + 2
Let s(q) = 0 + 4*q + 0 - 2*q**2 + 4. Let z(i) = -5*i**2 + 11*i + 11. Let p be (10 + 1)/((-7)/7). Calculate p*s(b) + 4*z(b).
2*b**2
Let k(j) = j. Suppose 4*c - 16 = 4. Let w(t) = -4*t**3 - 3*t + 3*t**3 + 3 - 1. Calculate c*k(y) + w(y).
-y**3 + 2*y + 2
Let k(b) = 23*b + 2. Let o(r) = 8*r + 1. Give 6*k(c) - 17*o(c).
2*c - 5
Suppose 0 = -d - 2*d - 9. Let b(v) = -1. Let s(h) = -2*h - 4. Calculate d*b(j) + s(j).
-2*j - 1
Let n(x) = -5*x**2 - 11*x + 11. Let d(y) = -2*y**2 - 6*y + 6. Calculate 11*d(q) - 6*n(q).
8*q**2
Let k(a) be the first derivative of 3*a**5/20 + 5*a**3/6 + 3*a + 3. Let d(i) be the first derivative of k(i). Let c(b) = b**3 + b. Determine -5*c(f) + d(f).
-2*f**3
Let z(n) = -6*n**2 + 2*n - 5. Let u(i) = 5*i**2 - 2*i + 4. Determine 4*u(d) + 3*z(d).
2*d**2 - 2*d + 1
Let r(z) = -z**3 + 5*z**2 - 5*z + 7. Let f = -12 - -2. Let y(d) = -2*d**2 + 2*d - 3. What is f*y(b) - 4*r(b)?
4*b**3 + 2
Let u(t) = -6*t**2 + 1. Let i(x) = 5*x**2 - 1. Let f(v) = 3*v - 6. Let o be f(5). Let b = o + -2. Give b*i(w) + 6*u(w).
-w**2 - 1
Let h(n) = -n**3 - 3*n**2 + 3*n + 4. Let u be h(-3). Let k = 7 + u. Let g(s) = s**2 + 2*s. Let a(z) = -3*z**2 + 3*z + 0*z + 4*z**2. What is k*a(p) - 3*g(p)?
-p**2
Let t(o) = 4*o**3 + 5*o**2 - 3. Let c = 162 - 170. Suppose 0 = 4*p - 0 - 20. Let f(v) = 6*v**3 + 8*v**2 - 5. Give c*t(g) + p*f(g).
-2*g**3 - 1
Let n(r) = -r**2 + 7*r - 2. Let t(u) = u**3 + 10*u**2 - 5. Let q be t(-10). Let i(v) = -v**2 + 6*v - 2. What is q*i(d) + 4*n(d)?
d**2 - 2*d + 2
Let z(p) = 7*p + 2 + 4*p**2 + 7*p - 12*p. Let y(m) = 9*m**2 + 5*m + 5. Determine -2*y(g) + 5*z(g).
2*g**2
Let v(x) be the first derivative of x**2/2 - x + 1. Let r be 0/(4/2) + 5. Let t(a) be the first derivative of -3*a**2 + 6*a + 34. What is r*v(g) + t(g)?
-g + 1
Let m = -51 + 53. Let i(g) = -g**2 + g. Let f(k) = 12*k - 4*k**2 - 8*k + 3 - 3. Calculate m*f(u) - 10*i(u).
2*u**2 - 2*u
Let c(j) = -5*j**3 - 4*j**2 + 4*j + 38. Let u(k) = k**3 + k**2 - k - 1. What is c(b) + 4*u(b)?
-b**3 + 34
Let g(r) = 8*r**2 + 6*r + 6. Let k(t) = t**2 + t + 1. Suppose -5*w = 4*z + z - 10, 0 = 5*z + 4*w - 7. Suppose 33 - 3 = 5*x. Give x*k(v) + z*g(v).
-2*v**2
Let l(a) = 10*a**2 - a - 10. Suppose -5 + 3 = -s. Let f(v) = s*v - 2 + 8 - v + 1 - 7*v**2. Calculate -7*f(w) - 5*l(w).
-w**2 - 2*w + 1
Let t(w) = 4*w - 5. Let h(r) = 29*r - 12*r - 7*r - 11*r. Determine -3*h(q) - t(q).
-q + 5
Let h = 77 - 71. Let s(x) = x**2 - x. Suppose -2*b = 2*b - 4. Let g(z) = -4*z**2 + 7*z. What is b*g(u) + h*s(u)?
2*u**2 + u
Let p(r) = -7*r**2 + 7*r + 1. Let g(n) be the third derivative of -n**5/4 + 5*n**4/8 + n**3/3 + n**2. Give -6*g(y) + 13*p(y).
-y**2 + y + 1
Let z(n) = -n**2. Let m(q) = -q**2 - 3. Let d(o) = o**2 + 1. Let c(j) = -6*d(j) - 2*m(j). Give c(b) + z(b).
-5*b**2
Let w(d) = -d**2 + 11*d - 14. Let m be w(7). Suppose -2*h + 8 = m. Let p(z) = -3*z**2 - 2*z. Let y(v) = v**2 + v. What is h*p(j) - 6*y(j)?
3*j**2
Let z(k) = -12*k**3 - 14*k - 14. Let d(t) be the first derivative of -t**4/4 - t**2/2 - t + 15. Give 42*d(b) - 3*z(b).
-6*b**3
Let y(a) = -2*a**2 + 2*a - 5. Let w(k) = 13*k**2 - 8*k + 18. Let p(x) = 19*x**2 - 12*x + 27. Let c(i) = -5*p(i) + 7*w(i). Determine -6*c(r) + 11*y(r).
2*r**2 - 2*r - 1
Let j(q) be the first derivative of -q**2/2 - q - 2. Let t(z) = -3*z - 4. Suppose -2*r = -3*r - 4. Give r*j(s) + t(s).
s
Suppose 11*y - 14*y + 24 = 0. Let b(z) = -4*z**2 + 8*z - 8. Let g(k) = k**2 - k + 1. Determine y*g(h) + b(h).
4*h**2
Let k be (15/9 + -4)*-3. Let v(s) = -4*s - 1. Let g(y) = -9*y - 2. Determine k*v(i) - 3*g(i).
-i - 1
Let h(z) = 15*z + 12. Suppose -3 = -q - 4*n - 0*n, 4*q = -5*n - 10. Let s(g) = 6*g + 5. Calculate q*h(k) + 12*s(k).
-3*k
Let b(q) = q + 1. Let x(j) = 3*j - 5. Determine -4*b(v) + x(v).
-v - 9
Let x(r) = -4*r**2 - 4*r + 16. Let t(a) = -2*a + 3*a - 2*a - 4 + 2. Let y be t(-5). Let z(q) = -q**2 - q + 5. Determine y*x(j) - 10*z(j).
-2*j**2 - 2*j - 2
Let k(z) = -71*z**2 - 284. Let c(y) = -1. What is 284*c(w) - k(w)?
71*w**2
Let v(q) = -q**2. Let n(g) = g. Calculate 5*n(k) - v(k).
k**2 + 5*k
Suppose -25 = 5*m, -3*i = 2*m - 32 - 0. Let s(r) = i*r - 3*r**3 - 5 + 6 + 8 + 8. Let j(a) = a**3 - 5*a - 6. Let t be 4/14 + 30/(-7). What is t*s(h) - 11*j(h)?
h**3 - h - 2
Let r = -23 - -40. Let p(c) = 9*c**2 - 6*c - 6. Let y(n) be the second derivative of -13*n**4/6 + 17*n**3/6 + 17*n**2/2 + 10*n. Calculate r*p(x) + 6*y(x).
-3*x**2
Let o(v) = 6*v + 1. Let l(t) = t. Suppose -2*n = -5*f + 21, -4*f + 7*f + 4*n = -3. Suppose 0*y = -3*y - f. Determine y*o(c) + 5*l(c).
-c - 1
Let c(a) = -6*a + 3. Let l(i) = 5*i - 4. Calculate 5*c(r) + 4*l(r).
-10*r - 1
Let t(k) = 2*k**2 + 5*k + 3. Let a(g) = g**2 - 12*g + 16. Let x be a(11). Let w(b) = -2*b**2 - 6*b - 4. Give x*w(c) + 6*t(c).
2*c**2 - 2
Let k(y) = 2*y**3. Let f(i) = i**3. Suppose 6*j = -3*j + 99. Determine j*f(n) - 4*k(n).
3*n**3
Suppose 5*a = 2*v - 0 - 16, -5*v - a = -13. Let j(t) = 5 - 4*t - 2*t**3 - 2*t**v - 5*t**2 + 2*t**3. Let f(p) = -p**2 - p + 1. Calculate -4*f(k) + j(k).
-2*k**3 - k**2 + 1
Let q(t) = t**2 + 7*t + 3. Let n be q(-7). Suppose 5*b = -33 + n. Let d(f) = -8*f + 2. Let y(h) = 7*h - 2. What is b*y(w) - 5*d(w)?
-2*w + 2
Let i(m) = -9*m**2 - 11*m. Suppose v - 11 = -0*v. Let h(w) = 5*w**2 + 6*w. Determine v*h(d) + 6*i(d).
d**2
Let u(a) = 2*a**2 + 6*a + 25. Let f(d) = -d**2 - 4*d - 17. Determine 7*f(n) + 5*u(n).
3*n**2 + 2*n + 6
Let x(u) = 5*u - 10. Let h be x(3). Let m(j) = -1. Let i(g) = -g - 3. Determine h*m(s) - i(s).
s - 2
Let f(d) be the first derivative of -3/2*d**4 + 2*d**2 - 5*d + 5/3*d**3 - 3. Let x(r) = -7*r**3 + 6*r**2 + 5*r - 6. Give -6*f(q) + 5*x(q).
q**3 + q
Let i(f) = -4. Suppose -5*z - 22 = -2. Let h(v) = v**2 - 11. What is z*h(t) + 11*i(t)?
-4*t**2
Suppose 0 = 3*l + 2 - 8. Let m(k) = -4*k**3 - k**2. Let z(b) = -b**3 - b**2. Calculate l*z(n) - m(n).
2*n**3 - n**2
Let k = 2 + 15. Let b(u) = 5*u - 2. Suppose -6 = -0*g - g. Let d(s) = 10*s + 3 - 24*s + 3. Determine g*d(m) + k*b(m).
m + 2
Let f(q) = 60*q**3 - 12*q**2. Let r(g) = 24*g**3 - 5*g**2. Calcu
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{
"pile_set_name": "DM Mathematics"
}
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l) + 6*l - 2*l - 3*l + (l - 4*l + 5*l)*(3 + 1 - 5).
-3*l
Expand (-10*v + 4*v + 4*v)*((3*v**3 + 3*v**3 - 4*v**3)*(0*v + 0*v + v) + 0*v**4 + 3*v**4 - 6*v**4) - 2*v - v**5 + 2*v.
v**5
Expand (4 - 2*f**3 - 4 + (2*f**2 + 0*f**2 + 0*f**2)*(-f - 2*f + 2*f))*(2 + 1 - 5) + (-f - f + 3*f)*(f**2 - 3*f**2 + 3*f**2).
9*f**3
Expand -2*x**4 + 5*x**4 - 5*x**4 + (2*x + 3 - 3)*(2*x**3 + x - x) + 0*x**4 + x**4 - 2*x**4 + x**2 - x**2 + x**4 - 10*x**2 + 11*x**2 + 4*x**4 - x**4.
5*x**4 + x**2
Expand (3 + 0 + 0)*(3*n - 3*n - 2*n) + 0*n - 12*n - 29 + 30.
-18*n + 1
Expand 5*b**3 - 2*b**3 - 5*b**3 + (-4*b + 6*b + 2 - 1)*(10*b**2 + 10 - 10).
18*b**3 + 10*b**2
Expand (64 - 41 - 32)*(3*a + 0*a - 5*a).
18*a
Expand (-3*r**3 - 3*r**3 + 2*r**3)*(-r + r + 3*r**2).
-12*r**5
Expand (13 + 0 + 0)*(-3*j + 4*j + j).
26*j
Expand -2 - 1 - 4*u + 1 + (-2 + 2 - 2*u)*(-1 + 3 - 3).
-2*u - 2
Expand -6*l**4 + 13*l**4 - 9*l**4 + (0*l**2 - 2*l**2 + 0*l**2)*(l**2 + l**2 - l**2).
-4*l**4
Expand (-4*l + 2*l + 4*l)*(3 - 6 + 1) - 2*l + 2*l - 9*l.
-13*l
Expand (-4*a**2 + 2*a**2 + a**2)*(2*a**2 + 0*a + 0*a) - 2*a**3 + a**4 + 2*a**3 + (-5 + 2 + 2)*(-2*a**4 - a + a) - 3*a**4 + 2*a**4 - 5*a**4.
-5*a**4
Expand (-5*k**2 + 0*k**2 + 3*k**2)*(-2 + 5 - 2*k - 1) - 6*k**3 - 2*k**3 + 2*k**3.
-2*k**3 - 4*k**2
Expand (5*z - 5*z + z**3)*(0*z - 3*z + 5*z - z - 2*z + z + 2*z + 2*z - 2*z + (-z + z - 2*z)*(-1 + 1 - 2) + 2 - 2 + z)*(3*z + 3*z - 2*z).
28*z**5
Expand (s + 4*s - 3*s)*(s**2 + 3 - 3)*(4*s + 3*s - 5*s).
4*s**4
Expand (-1 + 7 - 2)*(z - 2*z + 2*z)*(4*z - 3*z**2 - 4*z).
-12*z**3
Expand (5*x**2 + x**2 - 2*x**2)*(-5*x + 2*x - 6*x + 2 - 2 - 2*x + (0 + 0 - x)*(4 - 6 + 1) + 2 - x - 2 - x + 3*x + 0*x).
-36*x**3
Expand (40*v + 45*v - 46*v)*(1 + v - 1).
39*v**2
Expand (y - 3 + 3)*(1 + 5 - 5 + (-2 + 4 + 0)*(-3 + 1 + 1) + 3 + 1 - 6 + 1 + 0 - 3).
-5*y
Expand (g + g - 4*g)*(2*g + 2 - 2) + 2 + 2*g**2 - 2.
-2*g**2
Expand 3*c**2 + c**2 - 2*c**2 + (2 - 5 + 0)*(-c**2 - c**2 + 0*c**2) + 0*c**2 + 0*c**2 - 2*c**2 + 4*c - 4*c + 2*c**2.
8*c**2
Expand (0*r + 7*r + 5*r)*(4 - 2 + 1 + (-1 - 3 + 6)*(5 - 3 + 0)).
84*r
Expand 28*b**4 + 12*b**2 - 12*b**2 + (-b**3 + 1 - 1)*(2 - 2 - 3*b) + (-2*b + 6*b - 3*b)*(0*b**2 + 2*b**3 + 0*b**2).
33*b**4
Expand (1 + 0 - 3)*(p**4 - 4*p**4 - 4*p**4).
14*p**4
Expand (0*t**2 - t**4 + 0*t**2 + (-7*t**2 + 45 - 45)*(0 + 0 - t**2))*(3 + 2 - 4).
6*t**4
Expand (8*i + 2 - 6*i + 3*i)*(-4*i**3 + 2*i**3 + 0*i**3).
-10*i**4 - 4*i**3
Expand (-7*l**4 + 55*l**4 + 50*l**4 + 20*l**4)*(2*l - l + 0*l).
118*l**5
Expand -w**4 + 0*w**4 + 3*w**4 - w**4 + 0*w**4 + 2*w**4 + (-w**3 + 3*w**2 - 3*w**2)*(5 - 2*w - 5) + 47*w**4 - 237*w + 237*w.
52*w**4
Expand -104*p**4 + 164*p**5 + 19*p**4 - 163*p**5 + 2*p**5 - 3*p**5 + 3*p**5 + (-p**2 - p**2 + 3*p**2)*(2*p**3 - 5*p**3 + 2*p**3).
2*p**5 - 85*p**4
Expand 5*t - t - 2*t + (-4 - t + 4)*(-2 + 0 + 1) + (0*t + 6*t - 4*t)*(3 + 4 - 1).
15*t
Expand (5 - 4 + 0)*((c - 2*c + 2*c)*(2 - 3 + 0) + 0*c - c - 5*c + 0 + 0 - c).
-8*c
Expand (-4*k - k + 3*k - 3 + 3 - 2*k + (-1 + 1 - 2)*(-k + 2*k + k) + k - 1 + 1)*(-4 + 4 + 1) + (0 - 1 + 2)*(4*k - 2*k + 0*k).
-5*k
Expand -3*i + 2*i + 3*i + (4 + 1 - 3)*(0*i + i + 2*i + (-3*i + 0*i + 2*i)*(-4 + 5 + 0)).
6*i
Expand (-3*b**4 + 0*b + 0*b - 2*b)*(5*b - 2*b - 4*b).
3*b**5 + 2*b**2
Expand 6*j + 0*j + 0 + 1 + (-3 - 2 + 3)*(j - 3*j + j) - j + j + 2*j.
10*j + 1
Expand 3 - 3*r**4 - 3 + (2*r - 3*r**3 + 0*r**3 + 0*r)*(4*r + 0*r - r).
-12*r**4 + 6*r**2
Expand -2*s**2 + 2*s**2 - s**2 + (-4*s**2 + 7*s**2 + 4*s**2)*(-4 + 2 + 0).
-15*s**2
Expand (-3*x + 0*x + 2*x)*(0 + 5 - 4)*(-4*x - 3*x + 10*x).
-3*x**2
Expand ((2*k - k + 0*k)*(-1 - 4 + 3) + 0*k - k - k + 3*k - 1 + 1)*(-7*k**2 + 2*k**2 + 3*k**2).
2*k**3
Expand (-2 + 2 + 2*o**4)*(0*o + 2*o - 4*o) + (-2 + o**3 + 2)*(5*o**2 + 0*o**2 - 4*o**2).
-3*o**5
Expand (-6 - 3*b + 6)*(3*b - 2*b - 2*b + (3 + 3 - 4)*(-4*b + b + b) + 5*b - 2*b - 4*b).
18*b**2
Expand (1 - d - 1)*(7*d - 10*d - 6*d) + 0*d**2 + 2*d**2 + 0*d**2 - 2 + 2 - 2*d**2 - d**2 - 2*d**2 + d**2 - 3 + 3 + d**2 + (-2*d**2 + 0 + 0)*(2 - 3 - 1).
12*d**2
Expand (-1 - x**3 + 1)*(-11*x**2 - x**2 + 7*x**2).
5*x**5
Expand (-2 - 2 + 5)*(-2*x - 2*x**2 + 2*x) - 194*x**2 + 78*x**2 + 7*x - 7*x.
-118*x**2
Expand (2*y + 2*y**2 - 2*y)*(-4 + 4 + 2*y**2) - 65*y**4 - 71*y**4 + 147*y**4.
15*y**4
Expand (-1 - 6*i + 14*i + 5*i)*(3 - 2 + 1).
26*i - 2
Expand (-2*s + 0*s + 2 + s)*(0 - 4 + 1 + (0 - 4 + 2)*(0 + 1 + 1) - 4 + 2 + 0 + 5 + 0 - 4).
8*s - 16
Expand -42*h**4 - 42*h + 42*h - 3*h**4 + 0*h**4 + 2*h**4 + (0 + 0 + h**2)*(0 + 0 + 2*h**2).
-41*h**4
Expand (0*v - 3*v + v)*((2 + 1 - 5)*(3 - 4 + 0) - 34 - 3 + 9).
52*v
Expand (-3 + 8 + 0)*(0*m - m + 2*m)*(-m - 2*m + 5*m).
10*m**2
Expand -26*r**5 - 6*r**5 + 3*r**5 + (-1 - 1 + 4)*(-2*r**3 + 2*r**3 + r**5).
-27*r**5
Expand 12*m**2 - 8 + 8 + (3 + 2*m**2 - 3)*(4 - 2 + 0) + 2*m + m**2 - 2*m.
17*m**2
Expand (-4*x + 0*x + x)*(1 + 4 + 6).
-33*x
Expand (-119 + 119 + 2*c)*(-2*c**2 + 2*c**2 - c**2).
-2*c**3
Expand -3*o**5 + 11*o**5 + 6*o**5 - 1 + 1 - 2*o**5 - o + o**5 + o + (0*o**2 + 4*o**2 - 6*o**2)*(-o**3 - 2*o**3 + o**3).
17*o**5
Expand -3*g**2 + 3*g**2 + g**3 + (-4*g + 4*g + g**2)*(5*g - 2*g - g) - 11*g**3 - 22*g**3 + 2*g**3.
-28*g**3
Expand (4*r - 2*r - 6*r)*(3 + r**3 + 7*r**2 - 7*r**2 + 2*r**4).
-8*r**5 - 4*r**4 - 12*r
Expand (2*z + 0*z**3 + 4*z**3 + 4*z**3)*(1 + 0 - 2).
-8*z**3 - 2*z
Expand 2*h**2 - h**2 + 0*h**2 + (2 + h - 2)*(-3*h + 2*h - 4*h).
-4*h**2
Expand (-3*r + 2*r + 2*r)*(1 - 2*r - 1) - r + r - r**2 + (2*r - r + r)*(-r + 0*r - r).
-7*r**2
Expand b - b + 2*b**5 + (-b**4 + 3*b**4 - 4*b**4)*(-1 - b + 1) + 2*b**4 - 2*b**4 + 2*b**5.
6*b**5
Expand (-1 + 3 + 0)*(k + 5*k - 4*k) + 0*k - 4*k + 5*k + 4*k + 0*k + 4 - 2*k.
7*k + 4
Expand 4*g**4 - 2*g**5 - 4*g**4 + 3*g**5 - 5*g**5 - g**5 + (0*g**3 - g**4 + 0*g**3)*(-g + 8*g - 3*g).
-9*g**5
Expand (33 - 12 + 5)*(0*q + 0*q - q) + (-q + q - 2*q)*(-2 + 2 + 2) - 2*q - q + 2*q.
-31*q
Expand (1 + 5 - 1)*(-r - 2 + 2) + (2*r + 0*r - r)*(-4 + 5 - 3).
-7*r
Expand -5*r - r + 2*r - r - 2*r + 2*r + 2*r + 0*r - r + (1 - 4 + 2)*(4*r + 0*r - 2*r) + 2 - r - 2 - 12*r - 7 + 4*r + 8.
-15*r + 1
Expand (-a + a + 6*a)*(-5 + 5 - 7*a).
-42*a**2
Expand (-1 + 4 + 0)*(-4*g**5 - g**5 + 4*g**5) + g**5 - 2 + 2.
-2*g**5
Expand (2*p + 15*p + 8*p)*(1 - 3 + 1) - 2*p + 1 - 1.
-27*p
Expand 3*v**3 + 13*v - 13*v + (0*v + 2*v - v)*(-9*v**2 + 3*v**2 + v**2).
-2*v**3
Expand (0*r - 3*r + 2*r)*(2*r - 3*r + r**3 + r**3).
-2*r**4 + r**2
Expand 13*z**5 - 10*z**3 + 10*z**3 + (0 + 0 + z**3)*(2*z**2 - 2 + 2) - 4*z**4 + 4*z**4 + 2*z**5.
17*z**5
Expand -3*m**3 + 0*m**3 + 2*m**3 + (65*m - 14*m**2 - 65*m)*(-m + 3*m - m) + 4*m**3 + 3*m**3 - 5*m**3.
-13*m**3
Expand -t**2 + 2*t**2 + 3*t**3 - 5*t**3 - 1 + (2*t**3 + 0*t + 0*t)*(-2 + 0 + 5) + 4*t**3 - 3*t**3 - 2*t**3.
3*t**3 + t**2 - 1
Expand -z + 3*z + 8*z + (-4*z + 3*z + 3*z)*(-2 + 0 + 4).
14*z
Expand (2 + 3 - 4)*(0*t + 3*t - t)*(4 + 6 - 4).
12*t
Expand ((-2 + 0 + 4)*(c - 4*c + 4*c) - 2*c + 5*c - 2*c)*(c**2 + 3*c**2 - 5*c**2).
-3*c**3
Expand (17 - 13 - 7)*(-2*a**3 + 3 + 4*a**3 - a**3).
-3*a**3 - 9
Expand (-2*g**3 - 3*g**3 + 4*g**3)*(-12*g - 14*g + 7*g) - g**4 + g**4 - 2*g**4 + (3*g**3 - 6*g**3 + 4*g**3)*(5*g - 2*g - 5*g).
15*g**4
Expand (-6 - 5 + 9)*(9 - 9 + 4*m).
-8*m
Expand (-4*n**2 - 2*n**2 + 5*n**2 + (-2*n**2 - 4*n**2 + 7*n**2)*(0 + 1 - 3))*(-1 + 0 + 4).
-9*n**2
Expand (-2 + 2 + z)*(9 - 9 + 6*z)*(-5*z**2 + z**2 + 2*z**2).
-12*z**4
Expand (0 - 3 - 2)*(-2*c + 6*c + 2*c + (-2*c + 3*c - 2*c)*(-5 + 1 + 3)).
-35*c
Expand (0 - 2*q**2 + 0 + 17 + 3*q**2 - 17 + (-3*q - 3*q + 7*q)*(-2*q + 2 - 2))*(3 + 0 - 1).
-2*q**2
Expand -5*m**4 + 10*m**3 - 10*m**3 + (3*m**3 - 2*m**3 + 0*m**3)*(-3*m + m + 3*m).
-4*m**4
Expand 0 - k**3 + 0 + (k - 1 + 1)*(-2*k**2 + 3*k**2 + 0*k**2) - 2 + 2 + 2*k**3 + k**3 - 5*k - 2 + 4*k + 3*k.
3*k**3 + 2*k - 2
Expand (-3*i + 4*i - 2*i)*(4 - 4 - 1)*(-8*i - 2*i - i).
-11*i**2
Expand (-1 + 1 - b)*(9*b**2 - b**2 + 3*b**2).
-11*b**3
Expand (-25*l + 12*l - 14*l)*(2*l**2 - 1 + 1).
-54*l**3
Expand -x + 1 + 3*x - x + (0 - 5 + 3)*(-4*x + 5*x + 0*x).
-x + 1
Expand (-4*n + 0 + 0 + (-4 + 0 + 5)*(-n + 5*n - 2*n))*(-6*n + 0*n + 4*n + (-3 + 6 - 1)*(9 - 9 + 2*n)).
-4*n**2
Expand (-14*w**2 - 6*w + 11*w**2 - 4*w)*(-5 - w + 5).
3*w**3 + 10*w**2
Expand (2 + 4 - 4)*(-3*o + 0*o + 5*o) - 2 + 2 + 2*o + 3*o - o + 0*o + o + 5 - 2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
1, l: 2}.
1/10
Calculate prob of picking 3 t when three letters picked without replacement from ilimittlidpiititm.
1/170
Two letters picked without replacement from {n: 4, y: 4, u: 3, s: 4, h: 1, x: 1}. Give prob of picking 1 x and 1 h.
1/136
What is prob of picking 1 n, 1 u, and 1 q when three letters picked without replacement from {n: 7, u: 2, q: 6}?
12/65
Four letters picked without replacement from secommmesmcmmeceee. What is prob of picking 2 c, 1 m, and 1 o?
1/170
Three letters picked without replacement from {t: 3, i: 1, a: 1, s: 5, m: 2}. Give prob of picking 1 m and 2 s.
1/11
Two letters picked without replacement from bttbhohcp. Give prob of picking 1 c and 1 h.
1/18
Calculate prob of picking 2 z, 1 d, and 1 l when four letters picked without replacement from {z: 2, s: 4, d: 1, l: 1, b: 1}.
1/126
Two letters picked without replacement from {l: 3, y: 5, v: 1, b: 3}. Give prob of picking 1 l and 1 b.
3/22
Two letters picked without replacement from muuurwrmurwmuruumm. Give prob of picking 2 u.
7/51
Four letters picked without replacement from rbsrberrrbbrrrr. What is prob of picking 2 b, 1 s, and 1 r?
18/455
Two letters picked without replacement from ooooooeooonoemooo. Give prob of picking 2 o.
39/68
Three letters picked without replacement from jjjjijjiijjjjjj. Give prob of picking 3 j.
44/91
What is prob of picking 1 n and 1 g when two letters picked without replacement from mfffarmffmfgfmfn?
1/120
Calculate prob of picking 1 l and 1 h when two letters picked without replacement from rlhblbcbblclbbbbbl.
5/153
What is prob of picking 1 k and 1 h when two letters picked without replacement from {e: 1, h: 3, m: 5, k: 3}?
3/22
Calculate prob of picking 4 h when four letters picked without replacement from qhhhhqhhqhhhhqhqhhh.
1001/3876
What is prob of picking 1 x and 1 v when two letters picked without replacement from egfggxeggegelegevgxg?
1/95
Calculate prob of picking 3 n and 1 c when four letters picked without replacement from lnlwlnlncllclclcllw.
1/969
Calculate prob of picking 1 h and 3 c when four letters picked without replacement from hhvhbchvvcbbvvcb.
1/455
What is prob of picking 1 y, 2 b, and 1 z when four letters picked without replacement from ddbzjzyjjbzdf?
3/715
Four letters picked without replacement from {s: 2, v: 7, i: 9}. Give prob of picking 4 i.
7/170
Calculate prob of picking 1 i and 1 b when two letters picked without replacement from eiseoieeoeebbgi.
2/35
Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {e: 1, z: 8, u: 1, l: 2, i: 1, m: 3}.
3/560
What is prob of picking 1 o, 1 e, and 1 v when three letters picked without replacement from {o: 2, a: 2, n: 1, v: 2, u: 1, e: 4}?
4/55
What is prob of picking 2 l when two letters picked without replacement from lylrrx?
1/15
Two letters picked without replacement from {l: 2, y: 3, p: 2, q: 2, c: 4}. Give prob of picking 2 q.
1/78
What is prob of picking 2 k when two letters picked without replacement from ktkttkkttt?
2/15
Two letters picked without replacement from {b: 4, q: 7}. What is prob of picking 1 q and 1 b?
28/55
Two letters picked without replacement from {f: 1, x: 7, r: 1}. Give prob of picking 1 x and 1 f.
7/36
Three letters picked without replacement from {v: 1, i: 3}. Give prob of picking 1 i and 2 v.
0
Calculate prob of picking 1 k, 1 p, and 2 q when four letters picked without replacement from qpvfqppppppqkv.
3/143
What is prob of picking 1 b and 1 h when two letters picked without replacement from {h: 8, l: 1, o: 7, b: 4}?
16/95
Calculate prob of picking 2 k, 1 o, and 1 v when four letters picked without replacement from pvvkqqopkvov.
8/495
Three letters picked without replacement from {h: 1, m: 4, z: 3, x: 1, y: 7, l: 2}. Give prob of picking 1 h, 1 x, and 1 m.
1/204
Two letters picked without replacement from bjkjqjbj. Give prob of picking 1 b and 1 k.
1/14
Two letters picked without replacement from wwzzwzwrwz. What is prob of picking 1 w and 1 z?
4/9
What is prob of picking 2 b when two letters picked without replacement from iiibiidibiiiibi?
1/35
Two letters picked without replacement from ytttttytytt. What is prob of picking 1 t and 1 y?
24/55
Three letters picked without replacement from {q: 1, i: 14, y: 1}. What is prob of picking 1 i, 1 y, and 1 q?
1/40
Two letters picked without replacement from {o: 13, t: 3}. Give prob of picking 1 o and 1 t.
13/40
Calculate prob of picking 1 k and 1 m when two letters picked without replacement from kokmkmykrrrryy.
8/91
Calculate prob of picking 1 a and 1 g when two letters picked without replacement from xxxxxpxgxnxgguxaxxx.
1/57
What is prob of picking 1 s, 2 d, and 1 a when four letters picked without replacement from {a: 1, h: 2, v: 3, u: 1, d: 2, s: 3}?
1/165
Two letters picked without replacement from deeeeeeedeedeeeeee. Give prob of picking 2 e.
35/51
What is prob of picking 1 w and 2 g when three letters picked without replacement from gwwwwwwwwg?
1/15
What is prob of picking 1 e, 1 n, 1 c, and 1 j when four letters picked without replacement from {c: 2, e: 6, n: 1, j: 2}?
4/55
Four letters picked without replacement from hhkhkhk. What is prob of picking 3 h and 1 k?
12/35
Two letters picked without replacement from kxkxkxdxxkvxxhd. Give prob of picking 1 x and 1 d.
2/15
Three letters picked without replacement from uusbusubs. What is prob of picking 1 b and 2 u?
1/7
Calculate prob of picking 3 x when three letters picked without replacement from xxxx.
1
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {e: 1, l: 10, b: 4, h: 5}.
2/19
Calculate prob of picking 1 w and 2 g when three letters picked without replacement from wwwgggwwwgw.
14/55
Two letters picked without replacement from pqpqqqqxpqp. Give prob of picking 2 p.
6/55
Four letters picked without replacement from aasmaam. Give prob of picking 2 m, 1 a, and 1 s.
4/35
Four letters picked without replacement from {p: 3, f: 1, n: 6, y: 1, e: 1}. Give prob of picking 1 p, 2 n, and 1 f.
1/11
What is prob of picking 1 i and 1 g when two letters picked without replacement from mpjippg?
1/21
Two letters picked without replacement from aqaqaa. What is prob of picking 2 a?
2/5
What is prob of picking 2 a when two letters picked without replacement from aqaqant?
1/7
Two letters picked without replacement from {u: 1, x: 1, j: 1, v: 1, m: 1}. Give prob of picking 1 u and 1 v.
1/10
What is prob of picking 1 z and 1 a when two letters picked without replacement from {z: 2, r: 2, w: 1, a: 1, g: 1, x: 1}?
1/14
Three letters picked without replacement from hhcchhhchccnhhhhchc. What is prob of picking 2 c and 1 n?
7/323
What is prob of picking 1 u and 3 t when four letters picked without replacement from {l: 1, t: 3, u: 1, f: 3, g: 6, x: 3}?
1/2380
Four letters picked without replacement from {e: 3, v: 2, f: 7}. Give prob of picking 2 f and 2 v.
7/165
Four letters picked without replacement from ulllgllgaluallul. What is prob of picking 1 g, 1 u, and 2 l?
54/455
What is prob of picking 1 a and 1 e when two letters picked without replacement from eeejajeeaeejjjj?
2/15
Four letters picked without replacement from ddddjdjjjjjjjj. What is prob of picking 4 j?
18/143
What is prob of picking 1 p and 1 s when two letters picked without replacement from ltslxssspltztl?
4/91
What is prob of picking 1 l, 2 c, and 1 y when four letters picked without replacement from {y: 2, c: 2, w: 1, l: 1}?
2/15
Calculate prob of picking 2 b and 2 f when four letters picked without replacement from {f: 2, b: 2, u: 2, t: 4, k: 8, s: 1}.
1/3876
What is prob of picking 2 w, 1 q, and 1 n when four letters picked without replacement from {n: 2, r: 1, j: 2, w: 2, q: 1}?
1/35
Four letters picked without replacement from {f: 3, d: 3}. What is prob of picking 2 d and 2 f?
3/5
What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 4, i: 9, m: 4}?
2/17
Calculate prob of picking 2 s and 1 f when three letters picked without replacement from ffsfdshshdshmsmsdh.
15/272
What is prob of picking 1 k and 1 p when two letters picked without replacement from {o: 1, i: 2, f: 1, k: 3, p: 3, j: 1}?
9/55
Four letters picked without replacement from {k: 6, m: 1, j: 4, t: 1, p: 1}. Give prob of p
|
{
"pile_set_name": "DM Mathematics"
}
|
11*j + v = 0. Is j composite?
True
Let y(h) = 178*h**2 - 19*h + 107. Is y(10) a prime number?
False
Let k = 20 + -14. Suppose 2*f + k = 2*r, f - 9 = -3*r + 2*f. Suppose 0 = -r*o + b + 541, 0 = -2*o + 5*o - 2*b - 545. Is o composite?
False
Suppose 0 = 9*r - 0*r + 7398. Let z = -587 - r. Is z composite?
True
Suppose -5*v = 5*w - 2255, 28 - 924 = -2*w - 4*v. Let y = w - 251. Is y a composite number?
True
Let p = 1225 + -348. Is p prime?
True
Suppose 27*k - 29*k + 1320 = 0. Suppose -79 = x + 372. Let s = x + k. Is s composite?
True
Suppose 0 = 2*s + 3*o - 1 - 2, -4*o - 16 = -4*s. Suppose 0 = s*n + 2*n - 1515. Is n a composite number?
True
Is -7 + 12*3852/3 prime?
True
Let q(w) = 54*w + 12. Let k be q(-7). Let l = k - -659. Is l a prime number?
True
Let l = 34902 + -24805. Is l prime?
False
Let j(r) = 125*r**2 + 8 + 2*r - 6*r - 3 + 0*r. Is j(-6) a prime number?
False
Let c(h) = 6*h**2 - h + 4. Let i = 58 + -64. Is c(i) a prime number?
False
Let h be (-3876)/(-24)*(40 + -2). Suppose 0 = 13*i - 6330 - h. Is i composite?
True
Suppose 0 = -4*w - 5*z + 37, 3*w = 4*z + 20 - 0. Suppose 0 = 5*v - 5*k - 65, -v - v = 4*k - w. Suppose -v*m = -11*m + 10. Is m composite?
True
Suppose 24*p - 22*p = -6*c + 4430, 4*c = -5*p + 11097. Is p composite?
False
Suppose -4*t + 1942 = -5*g, -3*t + 2432 = 2*t - 4*g. Suppose 5*c = 2*c + 5*k + t, 5*c + 5*k = 800. Is c prime?
False
Let r = -17 + 24. Suppose -r*q + 3*q - 3160 = 0. Let o = 1111 + q. Is o a composite number?
True
Is (8059*(-6 + 4))/(2*-1) composite?
False
Is (-5)/(((-16)/(-4))/(-6332)) a prime number?
False
Let h = -24 + 26. Suppose y - 3*k + 6*k = 156, -h*y + k + 277 = 0. Let r = y + -8. Is r composite?
True
Let x(z) = z**3 + z**2 + z - 1. Let c(h) = -390*h**3 - 5*h**2 + 9. Let i(v) = c(v) + 4*x(v). Is i(-1) a prime number?
False
Suppose -5*x + 2*p + 45463 = 0, -728 = -x - 5*p + 8343. Is x composite?
False
Let z be -5*(-3 - 44/(-20)). Suppose 0 = 5*f + z*f - 7659. Is f a composite number?
True
Suppose -3 = -4*z - 15. Suppose 0 = -2*r - 83 - 137. Is (2 - 3)*(r + z) prime?
True
Let b = -5993 + 13994. Suppose -b = -c - 8*c. Is c composite?
True
Let w = 1047 + -405. Suppose -29*j + 26*j + w = 0. Suppose -2*y = 2*d - j, 5*y - 198 - 341 = -3*d. Is y prime?
True
Let b(v) = v**3 - 4*v**2 + v - 2. Suppose -4*a = 8, -2*s + 2 = 5*a + 4. Let f be b(s). Suppose 3*o - f*u = -6*u + 171, -3*u + 9 = 0. Is o composite?
False
Let m(w) = -2*w**3 + 11*w**2 - 21*w + 11. Let o be m(6). Suppose 4*n - n = -3*y, -2*n - 5*y = -6. Is (0 + (o - n))/(-1) a composite number?
False
Suppose 30023 = 3*y + j, 20*y - 5*j + 50045 = 25*y. Is y composite?
False
Let n = 346 + 581. Suppose 0 = -r - 5*x + 297, 3*r = 2*x + x + n. Is r composite?
False
Let r = -3175 - -4456. Suppose h - 225 = r. Suppose -4*p = -10*p + h. Is p composite?
False
Let n be ((-2)/6 - -1)*3. Suppose 3*t = -n*t + 80. Suppose 17*o = t*o + 85. Is o composite?
True
Suppose -13*l + 8607 = -46006. Is l composite?
False
Let l = 1 + -2. Let i be (2 + (0 - 3))*l. Is ((2 - i)*-37)/(-1) a prime number?
True
Let c(o) = 1358*o - 19. Let l(t) = -679*t + 9. Let x(u) = 6*c(u) + 13*l(u). Is x(-2) a prime number?
True
Let k be 99/22*2/3. Suppose -165 = k*c + 159. Let i = c - -191. Is i a prime number?
True
Let d = 41 - 39. Is d + (-16)/7 - (-43734)/42 composite?
True
Let m(p) = p**3 + 13*p**2 + p + 10. Let b be m(-13). Let n be b/((-3)/19 - 0). Is (-41 + 3)/((-2)/n) a composite number?
True
Let s be (-2)/(-4)*(12 - -16). Let a(i) = 4*i**2 + 5*i + 5. Is a(s) composite?
False
Suppose -7*p + 2*p - 1955 = -5*z, 0 = 5*z + p - 1955. Is z composite?
True
Suppose 5*h + 5*x + 5 = 0, h = -4*x - 17 + 1. Is (-8031)/(-15) + h/(-10) a composite number?
True
Suppose 0 = i - 10 - 9. Let c = i - 14. Suppose -4*a - 583 = -c*a. Is a a composite number?
True
Suppose m = -2*m + 15. Suppose n - m = -2. Suppose n*d + 2*c - 481 = 0, -d + 4*d - 476 = -c. Is d prime?
True
Suppose 194 = 32*b - 222. Is b composite?
False
Suppose 19284 = 4*k + 2*j, k + 19284 = 5*k - 2*j. Is k prime?
False
Suppose 0 = 3*h - 1 - 5. Suppose -189 = -4*p - 4*f + 35, -p = h*f - 59. Suppose -p = -2*z + 53. Is z a composite number?
False
Suppose -4*u + 20 = -0*u. Suppose -x + f = 2, -u*x + 3*f = -0*f. Let s = 148 - x. Is s a prime number?
False
Let q be ((-19 + 4)/5)/1. Let y = -43 - q. Let x = 123 - y. Is x prime?
True
Suppose -141999 = -5*b - c, 0 = -4*c + 21 - 5. Is b composite?
True
Is 15732/20 + ((-16)/20)/(-2) prime?
True
Suppose 9 = 6*w + 81. Is (20/w + 2)*537 a prime number?
True
Is (51/1)/(-2 - (-2516)/1252) prime?
False
Let i = 12925 + -3264. Is i prime?
True
Let h(q) = -34*q**2 - 10*q + 24. Let r be h(2). Let o be (-289)/(-2)*(0 - -2). Let w = r + o. Is w a prime number?
True
Is (-38)/(-209) + (-47230)/(-22) a composite number?
True
Let s(d) = -203*d - 6. Is s(-13) composite?
False
Let v = 35 - 45. Let q = v - -10. Suppose q = 23*b - 19*b - 1016. Is b composite?
True
Let k(i) = 2*i**2 - i - 15. Let r be k(-6). Suppose 5*v - r = 212. Is v composite?
True
Let i(y) = y - 1. Let g(o) = o**2 + 10*o - 6. Let w(s) = -g(s) + 6*i(s). Let h be w(-2). Is ((-12)/(-3))/h - -38 composite?
True
Is (26 + -186382)*(-4)/16 a composite number?
False
Suppose u + 11 = -4*d, 3*d = 3*u - 7*u - 5. Let s(a) = 6*a**3 - a**2 - a + 1. Let k be s(u). Suppose 4*j - 426 = -2*g - 92, k*j + 153 = g. Is g prime?
True
Let a be (3 - 85/15)*156. Let z = a - -1197. Is z composite?
True
Let i(y) = -173*y + 2. Let x be 2/(((-6)/(-8))/3). Let d be i(x). Is 1*(-3)/(6/d) composite?
False
Let o(a) = -3*a - 5. Let z be o(-3). Suppose r = z*h - r - 14, 5*r + 11 = 4*h. Suppose -3*b - 3*i + 130 = -296, 3*b = -h*i + 423. Is b a prime number?
False
Let b = -3035 + 5868. Is b composite?
False
Let o = 42 + -46. Is (o + 7)*-1*141/(-9) a composite number?
False
Let c(n) = -n + 7. Suppose -8 - 22 = -3*q + 5*f, 0 = -2*q - 4*f - 2. Let l be c(q). Suppose -l*r - 97 = -3*r. Is r a composite number?
False
Suppose -2 = -2*o + 2. Suppose -41 = -o*k + 641. Is k composite?
True
Let h be 1774 - 5/((-10)/4). Is h/32*2/3 a composite number?
False
Let z(u) = -59*u**2 - u + 1. Let w = -16 + 17. Let f be z(w). Is f/(-1 + (-1 - -1)) prime?
True
Let l(r) = -3903*r + 146. Is l(-5) prime?
True
Let b = -8 - -11. Suppose -3*n + 3*o - 615 = 0, b = -3*o - 0*o. Is (n/(-5))/(1/5) composite?
True
Let r be -6*(1 + (2 - 4)). Let c = r + 0. Let n(v) = 31*v**2 + 2*v - 13. Is n(c) a composite number?
True
Let j(x) = -2*x + 43. Let i be j(19). Suppose -3*t = 4*h - t - 48, i*h = 5*t + 90. Is h a composite number?
True
Suppose -2*y + 60214 = -2*a - 67822, -320125 = -5*y - 2*a. Is y a composite number?
True
Let l be (-964)/(-7) - 2/(-7). Suppose -6 = -4*f + 2*f. Suppose 4*b + 9 = -v + l, f*v + 5*b = 408. Is v composite?
True
Let k(d) = -2818*d**3 - 14*d**2 - 15*d. Is k(-1) a prime number?
True
Let r(y) = 7*y**2 - 93*y + 35. Is r(24) a prime number?
False
Let f(y) = -y**2 - 2*y - 4. Let t be f(-5). Suppose -24*p + 770 = -598. Let o = t + p. Is o prime?
False
Suppose 4*a + 3*c = 5633 + 5098, -3 = -3*c. Let j = a - 1639. Is j composite?
True
Let g(a) be the first derivative of -a**3/3 + 11*a**2/2 - 7*a - 1. Suppose 5*z + 2 = 52. Is g(z) composite?
False
Let g(f) = 2*f**3 + f + 1087. Is g(0) composite?
False
Is (-43596)/(-20) + (-84)/105 prime?
True
Let g(v) = v - 8. Let h(y) = y**3 + 7*y**2 - 11*y - 12. Let d be h(-8). Let s be g(d). Is ((-2)/s)/(1/(-254)) a composite number?
False
Let o(x) = -54*x - 5. Let t(n) = 54*n + 5. Let y(v) = 6*o(v) + 5*t(v). Let l = -20 - -13. Is y(l) a prime number?
True
Is 680*2 + (-5 - -6) a composite number?
False
Let l = -29 + 11. Let b = 9 + l. Is (6/(-4))/(b/3846) a composite number?
False
Let y(c) be the first derivative of -37*c**2/2 + 11*c + 14. Let q be y(-8). Suppose 2*v + 3*v + 3*f - q = 0, -5*f + 305 = 5*v. Is v a composite number?
True
Let p(j) = j**3 - 27*j**2 - 12*j + 28. Let i be p(26). Let b = 3762 + -2264. Let l = i + b. Is l composite?
True
Let j be 20/6*-3*29. Let x = 92 - j. Is x prime?
False
Let n(h) = h**3 - 19*h**2 + 12*h + 1. Let a(o) = -4*o**3 + 58*o**2 - 36*o - 2. Let s(p) = -2*a(p) - 7*n(p). Is s(-8) composite?
True
Let q = 10427 + -1174. Is q a prime number?
False
Let b(s) = s**2 + 8*s - 1. Let x be b(-5). Let f(n) = n + 19. Let i be f(x). Suppose -m + i = -256. Is m
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let b = 35/2 + z. Which is bigger: r or b?
b
Suppose -4*l + 5*u + 38 = 0, l + 6*u - 3*u = 18. Let h be (-20)/18 - 8/l. Let g = h - -41/18. Are g and 0 nonequal?
True
Let y = 237.31 + -207.7. Let f = -31.6 + y. Let q = 0.01 - f. Is 1 at least as big as q?
False
Let a = -25 - -223/9. Let z(w) be the second derivative of -w**5/20 - w**4/4 + 5*w**3/6 + 5*w**2/2 + w. Let i be z(-4). Are i and a equal?
False
Suppose 5*w + 2*r = 98, -w + 40 = 4*r + 6. Let j = -9 + 28. Are j and w non-equal?
True
Suppose -4*f = -f - 12. Suppose 3*i - 4 + 3 = y, f*i = 3*y - 2. Suppose -3*k + 3 + 2 = 2*c, y*k - 5*c + 22 = 0. Is 2/13 smaller than k?
False
Let t be 4/(-1)*12/80. Let w be (6 - 0)*(-2)/4. Let l = -5 - w. Is t at least as big as l?
True
Let d = 0.03 + -0.43. Let k = -0.99 + 1. Let g = k - -0.09. Is d at least as big as g?
False
Let q(u) = u**2 + 7*u - 9. Let v be q(-9). Let d be (2 - 1)/((-3)/v). Is d less than or equal to -5?
False
Let i be 2/5 + 0/1. Suppose 0 = -2*s + 3*r - 37, 0 = -2*s - s + 4*r - 53. Let k = -11 - s. Which is greater: k or i?
i
Let x be (-4)/18 - (-17)/9. Let i be -2 + 222/36 - (1 - -2). Let g = x - i. Which is greater: g or 0?
g
Let f = -4134 + 70320/17. Which is bigger: 3 or f?
3
Suppose 10 = 13*s + 23. Which is smaller: -7/3 or s?
-7/3
Suppose -3*s = 2*s. Let f(z) = z + 7. Let j be f(s). Suppose -4*b - 5 = j. Are -3/2 and b nonequal?
True
Let t be 151/(-680) - 7/(-35). Let f = 251/952 - t. Which is smaller: 0 or f?
0
Suppose 0*g - 3 = 3*g, 2*g + 3 = -k. Is 5 less than k?
False
Suppose 7 = -5*z - 3. Let d be z/4 + 87/6. Suppose b + 3*a + 14 = -0*a, -3*b - d = 2*a. Which is smaller: b or 1?
b
Let a be (-1)/(-4) + 2/(-8). Suppose -4*i = -c - 63, -c + 0*c = 4*i - 57. Let q = i + -16. Which is greater: q or a?
a
Suppose 4*x - 2*y = -8 - 2, -x = -5*y + 25. Let h = x - -3. Let n = -4 + 3. Which is smaller: h or n?
n
Let w = 6 - 5.96. Let q = w + -0.09. Is -1 at most as big as q?
True
Let z = -0.96 - 0.04. Which is smaller: 2/57 or z?
z
Let y = 6 + 6. Is 12 at least y?
True
Let m be (1/10)/(26/195). Does m = -9?
False
Let r(w) = 2*w - 16. Let z be r(12). Is 6 > z?
False
Let c = 97 - 96. Which is greater: c or 1.6?
1.6
Let f = 0.206 - -13.894. Let i = 14 - f. Which is smaller: 0.07 or i?
i
Let i be 1*-1 - (-2 + 0). Suppose 4*t + n - 2 = 0, 2*t - 3*n + 4 + 2 = 0. Is t < i?
True
Let n(g) = g**3 + 5*g**2 + 6*g + 5. Let r be n(-4). Suppose 2*s = -0*s. Suppose s*f - 1 = f. Which is greater: f or r?
f
Suppose -3*p + 10 = -p. Are 5 and p unequal?
False
Let z = 6.162 + 0.138. Let t = 6 - z. Are t and -0.1 non-equal?
True
Let d = 532/2313 - 2/257. Is d less than or equal to 3?
True
Let b = 3 + -5. Let f(u) = u**2 - 8*u - 3. Let q be f(9). Let h be -2 - (q/(-3) + 3). Are b and h unequal?
True
Let y be (1/(1 + 5))/(78/12). Is 0 > y?
False
Let f = 362 + -358.11. Let g = 0.11 + f. Let a = 59/24 + -25/8. Is g at most as big as a?
False
Let u = 6 + -4. Let j = 4.1 - -0.9. Let l = 7 - j. Is u smaller than l?
False
Let r = 1174 - 3607/3. Let b = r - -28. Are b and 2 unequal?
True
Let y(z) = z**3 + 4*z**2 - 5*z + 7. Let n be y(-5). Let b = 9 - n. Which is greater: 6/7 or b?
b
Let j be 1 - (1 - 0/2). Let r be 1/(-7) + j - 0. Suppose 0 = -u + 63 - 64. Which is smaller: u or r?
u
Let n be (0 - -2) + 6 - 1. Let g = 0.9 - -0.3. Let i = g - 1.2. Is n bigger than i?
True
Suppose -5*r = -4*o - 20, 2*o - 5*r + 18 = -2. Let d be 10/12*12/40. Which is smaller: o or d?
o
Suppose -h - 41 = r, -122 = 4*r - r + 4*h. Let y = r - -25. Is y equal to -18?
False
Let z = 0 + 8. Is z bigger than 8?
False
Let k(x) = -x**3 + 3*x**2 - x + 4. Let q be k(3). Suppose 7 = -5*l - 18. Let h be (-3)/l + 318/(-630). Which is bigger: h or q?
q
Suppose 0 = -4*c - 3*v + 6, 2*v + 7 = -2*c + 3*c. Suppose -6 = 5*b - f, 4*b - 8*b = c*f + 1. Let z be (-2)/((-6)/(-3)) + b. Do -1/2 and z have the same value?
False
Suppose -p - j - 3*j + 17 = 0, 0 = -4*p - 5*j + 24. Does p = 1?
True
Suppose 5*c - 5*h = 255, 188 = 4*c + 4*h + 24. Let g be (-134)/c + (0 - -3). Is 1 at most as big as g?
False
Suppose -o - 4*o + 50 = 5*r, 2*r = 2*o. Let m(d) = -d**2 - 4*d + 1. Let i be m(-3). Which is smaller: o or i?
i
Let d = 4 + -2. Is d at most as big as -1?
False
Let k = -10 - -13. Suppose 20 - 38 = k*u. Which is smaller: u or -5?
u
Let p(j) = 23*j + 10. Let f(r) = -11*r - 5. Let i(k) = 7*f(k) + 3*p(k). Let t be i(-6). Suppose 0*v - t = -5*q - 4*v, v = 2. Which is smaller: q or -0.1?
-0.1
Suppose 0 = 5*g - 3*j + 5 + 10, -2*g + 10 = 2*j. Let f be 0 - g - 8/44. Suppose r + 3 = 0, q + 13 = -3*r + 4. Is f <= q?
True
Let t(k) be the second derivative of k**3/6 - 7*k**2/2 - k. Let w be t(6). Suppose g - 4*g - 6 = 0. Which is bigger: w or g?
w
Let n = 3 + -2.9. Let r = -1.1 + n. Which is bigger: r or 2/7?
2/7
Suppose -5*j + 7 - 12 = 0. Which is greater: j or -6?
j
Suppose 4*w - 3*l + 1 = 26, 3*w = -2*l + 6. Suppose -4*c = 5*t - 10, 0*c + w*c - 8 = -4*t. Is -1 > c?
False
Let g(f) = 2*f**3 - 17*f**2 + 10*f - 17. Let n be g(8). Let m = 111 - 889/8. Which is greater: n or m?
m
Let s be (-8)/2*(-2)/14. Let d be (0/(6/3))/2. Let c = 0 + d. Is s < c?
False
Let h be (-2 - -6)*(3 - 1). Let y = h - 8. Which is greater: y or -2/9?
y
Let n = 3 + -1. Let z be 3 - (n + -2 - -3). Which is smaller: z or 1/3?
z
Let l = -0.4 - -0.4. Let p = l - -2. Which is greater: p or 0?
p
Let w = -18 + 18.1. Let r = -0.01 - -2.01. Is r at most as big as w?
False
Let f = 5 + -7. Suppose 2*g + g = -2*p - 9, 2*p - 2*g = -4. Is p at most as big as f?
True
Suppose z - y + 11 = -0*y, -5*z = -y + 47. Let j(t) = t**3 + 9*t**2 + t + 8. Let i be j(z). Which is smaller: -1/9 or i?
i
Let t = 0.18 - 0.28. Let n = -0.15 + 7.15. Is t less than or equal to n?
True
Suppose 0 = -4*g - 53 - 7. Do g and -14 have the same value?
False
Suppose 3*w + 2*w = 0. Suppose w = 3*h + i - 2, i = h + 6*i + 4. Suppose -u = -2*u + h. Which is smaller: 2 or u?
u
Let k be (-34)/(-16) + (1 - 3). Let d = 3/8 - k. Which is smaller: -2/9 or d?
-2/9
Let s be (2 - 0)/(4/10). Suppose -x = 3*t + 4*x - 3, x = -s*t + 5. Let z(y) = 2*y**2 - 13*y - 7. Let n be z(7). Which is smaller: n or t?
n
Let i be 16/30 + 2/(-3). Let l = 7/60 - i. Do -1 and l have different values?
True
Let r = -19 - -24. Which is bigger: 6 or r?
6
Let m(p) = -3*p - 33. Let o be m(-11). Which is smaller: -1/4 or o?
-1/4
Let q = 700/381 - 1/254. Is q > 1?
True
Let m be ((-32)/12 - -3)/((-2)/3). Which is greater: -1/57 or m?
-1/57
Let x = 16 + -4. Let s = x + -11.9. Which is smaller: s or 2?
s
Let z = 1 - 1.7. Let d = -0.6 - z. Which is bigger: -5 or d?
d
Suppose -11*g - 1 = 10. Is 5/23 at least g?
True
Let g = -1/21 - -4/21. Let j(l) = -5 + l + 2 - 1. Let f be j(5). Is g less than f?
True
Suppose -3 = 5*q + 7. Let u(a) = a - 2. Let b be u(7). Suppose h + 9 = 2*p + 4*h, b*h = 3*p + 34. Is p at most as big as q?
True
Let n = -3/29 + 35/58. Is 17 less than n?
False
Suppose 5*m + 5*c + 320 = 0, 208 = -0*m - 3*m + 5*c. Let i = -39663/4 - -9849. Let j = i - m. Are 0 and j equal?
False
Let o be (-25)/20*(-1)/(-8). Is -1 greater than o?
False
Let p be (-4)/(-10) + 42/(-5). Which is greater: p or -5?
-5
Suppose h - 4*h = 147. Let n be h/28 + (-2)/(-4). Which is smaller: -1 or n?
n
Let a be (1/2)/((-7)/126). Suppose -3*n - n - 40 = 0. Which is smaller: a or n?
n
Suppose 3*b = -3*c, 2*b - 6 = 3*c - 8*c. Does b = -5?
False
Suppose -3*d = -3*g + 3, 2*d + 7 = g + 5. Let f be -1 + 198 + 2/(-2). Let i = -2154/11 + f. Is i at most as big as d?
False
Suppose 0 = -u - 0 - 3. Is -8/5 smaller than u?
False
Let f be 2/5*(-325)/(-55). Let u = 152/55 - f. Which is greater: u or 5?
5
Let z = -24 + 19. Which is bigger: -6 or z?
z
Let z be (-46)/13 - -2 - -2. Which is bigger: 0 or z?
z
Let y = 13 + -13. Suppose y = -d - 2*d + 18. Which is bigger: 4 or d?
d
Let a be 21/(-27) + 4/(-18). Let o = 2428/9 + -269. Let x = o - 10/9. Which is smaller: a or x?
a
Let p = -18 - -17. Let u = 0 - -2. Suppose -4*b = 6 - u. Do b and p have different values?
False
Let s(a) = 4*a**2 - a. Let c be s(-1). Let o be c/(-12) - (-4)/(-12). Let v(r) = -r - 2. Let x be v(-2). Which is smaller: x or o?
o
Suppose -112 = 5*b + 3*t, -5*b - 52 = -3*b + 3*t. Is b >= -20?
True
Let m(g) = -g**2 + 7*g - 9. Let d be m(6). Let j be d/2*10/(-3). Suppose -j*h = -2*a - 1, -h - 4*a - 10 = -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
170*b**2/7 + 3412*b/7 - 880.
2*(b - 55)*(b - 28)*(b - 2)/7
Suppose 343*i**4 + 37560607*i**3 - 32194974*i**2 + 9198580*i - 876056 = 0. Calculate i.
-109507, 2/7
Factor -5*i**2/3 - 3268780*i/3 - 534246134420/3.
-5*(i + 326878)**2/3
What is u in 125*u**5 - 4135*u**4 + 21955*u**3 - 39605*u**2 + 23280*u - 1620 = 0?
2/25, 1, 2, 3, 27
Determine z, given that -4*z**3 + 304*z**2 - 3940*z - 4248 = 0.
-1, 18, 59
Factor t**2/8 - 5079*t/4 + 2539.
(t - 10156)*(t - 2)/8
Determine w so that -5*w**2 - 6465*w - 645280 = 0.
-1184, -109
Find f such that f**4/5 + 103448*f**3/5 + 3567231864*f**2/5 + 41006519078112*f/5 + 81998770056336/5 = 0.
-34482, -2
Factor 264*n**2 + 1953*n + 3165.
3*(n + 5)*(88*n + 211)
Find l, given that -1302*l**2 + 3208*l/3 + 40 = 0.
-10/279, 6/7
Factor -26*o**2/5 + 2642*o/5 - 1616/5.
-2*(o - 101)*(13*o - 8)/5
Factor -2*b**3/19 + 650*b**2/19 - 18752*b/19.
-2*b*(b - 293)*(b - 32)/19
Let -52*x**3 - 2376*x**2 - 3908*x - 1584 = 0. Calculate x.
-44, -1, -9/13
Solve 175*s**5 + 5165*s**4 + 47160*s**3 + 123160*s**2 - 68560*s + 8400 = 0 for s.
-14, -10, -6, 1/5, 2/7
Let 35*t**5 - 675*t**4 - 3905*t**3 + 20315*t**2 + 17070*t - 6440 = 0. What is t?
-7, -1, 2/7, 4, 23
Find c such that 20*c**5 - 3868*c**4 + 34464*c**3 + 23632*c**2 - 14720*c = 0.
-1, 0, 2/5, 10, 184
Suppose -3*d**5 + 432*d**4 - 7128*d**3 - 498*d**2 + 108315*d + 101250 = 0. Calculate d.
-3, -1, 5, 18, 125
Factor 3*v**3 + 1341*v**2 + 175473*v + 5454135.
3*(v + 45)*(v + 201)**2
Factor 2*q**2/15 - 22356*q + 937107630.
2*(q - 83835)**2/15
Suppose 20*l**5 - 4365*l**4 - 3330*l**3 + 9865*l**2 - 2190*l = 0. What is l?
-2, 0, 1/4, 1, 219
Determine y, given that -2*y**2 - 268492*y - 9010994258 = 0.
-67123
Solve 29*b**5 + 380*b**4 + 1402*b**3 + 1156*b**2 + 105*b = 0 for b.
-7, -5, -1, -3/29, 0
Suppose 4*g**3 + 4*g**2 - 16*g - 16 = 0. Calculate g.
-2, -1, 2
Let 3*j**5 + 7749*j**4 + 15489*j**3 + 7743*j**2 = 0. What is j?
-2581, -1, 0
Factor l**2/2 - 963*l + 3844.
(l - 1922)*(l - 4)/2
What is q in 5*q**2 - 375*q - 225170 = 0?
-178, 253
Let 760*s**5/7 - 2826*s**4/7 - 6170*s**3/7 + 6078*s**2/7 + 2098*s/7 + 60/7 = 0. What is s?
-2, -1/4, -3/95, 1, 5
Let 80*y**3 - 538785*y**2 - 639905*y - 101040 = 0. What is y?
-1, -3/16, 6736
Let 78*y**5 + 2170*y**4 + 3738*y**3 + 1174*y**2 - 576*y - 104 = 0. What is y?
-26, -1, -2/13, 1/3
Solve h**4/10 - 161*h**3/10 + 1121*h**2/2 - 64683*h/10 + 23895 = 0.
9, 25, 118
Suppose -g**5/3 + 65*g**4/6 - 190*g**3/3 - 1385*g**2/3 + 2351*g/3 - 1615/6 = 0. Calculate g.
-5, 1/2, 1, 17, 19
Suppose 2*h**2 + 21712*h + 108510 = 0. Calculate h.
-10851, -5
Factor o**3/3 - 5276*o**2/3 + 2452375*o - 344886666.
(o - 2559)**2*(o - 158)/3
Factor -7*d**2/10 + 1220862*d/5 + 348818/5.
-(d - 348818)*(7*d + 2)/10
Find r, given that -4*r**3 - 132*r**2 + 2448*r + 2576 = 0.
-46, -1, 14
Factor n**4/5 + 2*n**3/5 - 147*n**2/5 - 216*n/5 + 972.
(n - 10)*(n - 6)*(n + 9)**2/5
Find z such that 7*z**5/3 - 968*z**4/3 - 3639*z**3 - 38186*z**2/3 - 38240*z/3 + 4768 = 0.
-4, -3, 2/7, 149
Factor -2*c**2/15 - 3904*c/5.
-2*c*(c + 5856)/15
Factor -2*x**2/3 + 105424*x/3.
-2*x*(x - 52712)/3
Let -4*i**5/3 + 24*i**4 + 172*i**3/3 - 80*i**2 = 0. Calculate i.
-3, 0, 1, 20
Let -2*u**4 + 459*u**3 - 27564*u**2 + 140672*u - 150528 = 0. What is u?
3/2, 4, 112
What is x in 2*x**2 - 1628280*x + 331411969800 = 0?
407070
Let 6*r**4 + 1941*r**3 - 4878*r**2 + 3909*r - 978 = 0. Calculate r.
-326, 1/2, 1
Factor 5*l**2/2 + 13794*l - 5518.
(l + 5518)*(5*l - 2)/2
Factor 5*n**3 + 925*n**2 - 1870*n.
5*n*(n - 2)*(n + 187)
Solve 1353*r**4/4 - 663*r**3/2 - 27*r**2/4 = 0 for r.
-9/451, 0, 1
Solve u**3/5 - 476*u**2/5 - 1049331*u/5 + 633674106/5 = 0.
-1066, 771
Factor -372*j**2 + 586*j - 42.
-2*(2*j - 3)*(93*j - 7)
Factor -a**3/5 - 17171*a**2/5 + 103054*a/5 - 137416/5.
-(a - 4)*(a - 2)*(a + 17177)/5
Suppose -78*x**3/7 - 159*x**2/7 + 2370*x/7 + 4752/7 = 0. Calculate x.
-72/13, -2, 11/2
Suppose 4*s**4 + 1164*s**3 - 16888*s**2 + 58560*s = 0. Calculate s.
-305, 0, 6, 8
Find i such that -3*i**3 - 1491*i**2 - 2970*i = 0.
-495, -2, 0
Factor 2*c**2 - 892*c + 89658.
2*(c - 293)*(c - 153)
Determine k so that -k**3/5 + 9324*k**2/5 - 21910317*k/5 + 819183062/5 = 0.
38, 4643
Solve -x**3/4 - 967*x**2/4 + 3916*x - 15728 = 0.
-983, 8
Factor 49*w**5/5 + 7217*w**4/5 + 2059*w**3/5 + 147*w**2/5.
w**2*(w + 147)*(7*w + 1)**2/5
What is u in 8*u**2/3 + 43940*u/3 - 7324 = 0?
-5493, 1/2
Factor -4*a**2 - 194792*a - 194788.
-4*(a + 1)*(a + 48697)
Factor 5*x**4 - 5735*x**3 - 23000*x**2 - 23020*x.
5*x*(x - 1151)*(x + 2)**2
Determine y, given that 36*y**5/5 + 10392*y**4/5 + 152717*y**3 + 1953097*y**2/5 - 714857*y/5 + 61347/5 = 0.
-143, -3, 1/6
Factor -2*g**2/9 - 42196*g/9 + 56272/3.
-2*(g - 4)*(g + 21102)/9
Factor 26*p**2/3 + 1082*p - 116000/3.
2*(p - 29)*(13*p + 2000)/3
Determine b so that 3*b**2 + 306*b + 891 = 0.
-99, -3
Let -3*l**3 + 1080*l**2 + 3*l - 1080 = 0. Calculate l.
-1, 1, 360
Solve -33*o**2 - 3912*o + 7956 = 0 for o.
-1326/11, 2
Factor 36869184*c**4 - 6727776*c**3 + 355492*c**2 - 4432*c + 16.
4*(12*c - 1)**2*(253*c - 2)**2
Find q, given that q**4 - 655*q**3 - 37422*q**2 - 72216*q = 0.
-51, -2, 0, 708
Solve -5*m**2 + 6330*m + 89600 = 0.
-14, 1280
What is w in w**4/2 + 135*w**3/2 + 5103*w**2/2 + 59049*w/2 = 0?
-81, -27, 0
Suppose -3*q**2/5 - 2712*q - 3064560 = 0. Calculate q.
-2260
Find h, given that -4*h**3/3 - 272*h**2/3 + 7852*h/3 - 47320/3 = 0.
-91, 10, 13
Solve -5*a**4 + 19570*a**3 - 19129665*a**2 - 38318060*a - 19168820 = 0 for a.
-1, 1958
Factor -338*c**2 + 13780*c - 140450.
-2*(13*c - 265)**2
Let 2*o**3/7 + 2602*o**2/7 + 31008*o/7 + 92808/7 = 0. What is o?
-1289, -6
Solve 5280*x**3 - 5936*x**2 + 1976*x - 164 = 0.
41/330, 1/2
Let 5*g**5/3 + 40*g**4 - 100*g**3 - 1040*g**2/3 = 0. What is g?
-26, -2, 0, 4
Find w, given that -w**2 - 15596*w = 0.
-15596, 0
Solve c**4/10 + 17*c**3/5 - 259*c**2/10 - 368*c/5 + 96 = 0.
-40, -3, 1, 8
Factor 5*l**2 - 40745*l.
5*l*(l - 8149)
Let -2*s**3 - 22590*s**2 - 63777216*s + 63799808 = 0. Calculate s.
-5648, 1
What is b in 4*b**3 + 348*b**2 + 5724*b + 24388 = 0?
-67, -13, -7
Factor -k**2/12 - 523*k/12 - 4301/6.
-(k + 17)*(k + 506)/12
Let 5*n**2 + 27470*n + 27465 = 0. Calculate n.
-5493, -1
Solve -l**3 + 40*l**2 + 3653*l + 3612 = 0.
-43, -1, 84
Factor 2*w**2/7 + 96864*w/7 - 387488/7.
2*(w - 4)*(w + 48436)/7
Factor u**5 - 26*u**4 - 55*u**3 - 28*u**2.
u**2*(u - 28)*(u + 1)**2
Factor -w**2 + 7981*w - 7980.
-(w - 7980)*(w - 1)
What is l in 8331362*l**2/5 - 97968*l/5 + 288/5 = 0?
12/2041
Suppose -3*f**2 - 144573*f - 144570 = 0. What is f?
-48190, -1
Let -3*v**5 - 36*v**4 + 483*v**3 - 144*v**2 - 3828*v + 5040 = 0. What is v?
-20, -3, 2, 7
Find q such that -3*q**4/4 - 1263*q**3/4 + 11709*q**2/2 - 31488*q + 52680 = 0.
-439, 4, 10
Solve -5*a**3 - 26575*a**2 + 159665*a + 186235 = 0 for a.
-5321, -1, 7
Let 3*q**5 - 429*q**4 + 8955*q**3 + 20085*q**2 - 8958*q - 19656 = 0. Calculate q.
-2, -1, 1, 28, 117
Find v such that -4*v**3 + 281*v**2 - 4970*v + 1225 = 0.
1/4, 35
Solve -5412050*d**3/9 + 1204140*d**2 - 8776*d/3 + 16/9 = 0 for d.
2/1645, 2
Determine y so that 668*y**3 - 18*y**2 = 0.
0, 9/334
Suppose -4*i**5 + 524*i**4 + 6792*i**3 + 10856*i**2 - 79492*i - 84084 = 0. What is i?
-7, -1, 3, 143
Factor -5*i**3 - 2530*i**2 + 398160*i.
-5*i*(i - 126)*(i + 632)
Factor -57122*j**2 - 661128*j - 1912968.
-2*(169*j + 978)**2
Factor -w**2 + 977*w - 35682.
-(w - 939)*(w - 38)
Let -d**2 + 261*d - 3458 = 0. Calculate d.
14, 247
Factor -k**3 - 560*k**2 - 3841*k + 16590.
-(k - 3)*(k + 10)*(k + 553)
Factor -2*l**3/3 - 13772*l**2/3 + 55120*l/3.
-2*l*(l - 4)*(l + 6890)/3
Factor 3*g**5 - 4263*g**4 + 17016*g**3 - 17004*g**2.
3*g**2*(g - 1417)*(g - 2)**2
Suppose h**5 + 349*h**4 + 30963*h**3 + 88403*h**2 - 119716*h = 0. Calculate h.
-173, -4, 0, 1
Factor -3*y**2 + 12417*y + 12420.
-3*(y - 4140)*(y + 1)
Factor 6*i**4/5 + 14118*i**3/5 + 122496*i**2 + 6705336*i/5.
6*i*(i + 22)**2*(i + 2309)/5
What is u in -3*u**5/8 - 465*u**4/8 - 4827*u**3/8 - 10683*u**2/8 + 8613*u/4 + 6804 = 0?
-144, -7, -3, 2
Factor 6*l**2/7 - 921*l/7 + 4884/7.
3*(l - 148)*(2*l - 11)/7
Solve -5*p**5 - 50*p**4 + 625*p**3 - 1650*p**2 + 1080*p = 0.
-18, 0, 1, 3, 4
Factor -3*n**4/4 - 453*n**3/4 + 114*n**2.
-3*n**2*(n - 1)*(n + 152)/4
Solve 3*y**2/2 - 14292*y + 34043544 = 0.
4764
Let -2*d**2/11 + 54*d/11 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
3, k in decreasing order.
p, k, -3
Suppose -m + 29 = -5*r, -3*r + 3 = 5*m - 2. Sort -2/15, r, -5/4 in increasing order.
r, -5/4, -2/15
Let o = -70 - -79.7. Let u = o + -4.7. Let f = 3.7 + -4. Sort f, -7, u in decreasing order.
u, f, -7
Let q = -83.45 - -83.4. Sort -4, -1, q, -27.
-27, -4, -1, q
Let b = -54 - -49. Sort 2/35, -4, -0.2, b in increasing order.
b, -4, -0.2, 2/35
Let u be ((-65)/(-26))/((-35)/(-14)). Sort u, -3, 88 in descending order.
88, u, -3
Let k(i) = i + 7. Let d be k(-5). Suppose -2*h - 14 = -d*j + 7*j, -h = -4*j - 6. Let g = 16359 - 16354. Put h, g, -4 in descending order.
g, h, -4
Let y = 331 + -326. Sort y, 8, -2/17, -1/4 in decreasing order.
8, y, -2/17, -1/4
Let q = -20.29 - -31.29. Let m = 0.02 + 0.38. Put -0.2, m, 3, q in ascending order.
-0.2, m, 3, q
Let l = -2 - -1. Suppose -j + 5*c = -0*j + 5, j - 3 = c. Suppose 2*x - 2*d - j = -x, 0 = -3*d + 6. Sort 4, x, l in decreasing order.
4, x, l
Let h(p) = -32*p**2 + 29*p - 1. Let y be h(1). Let d(x) = 2*x - 8. Let n be d(6). Sort 1, n, y, 13 in increasing order.
y, 1, n, 13
Suppose -4*p - p = -3*c + 4, -16 = -p - 5*c. Suppose -5*x - 18 = -48. Put p, x, 3 in decreasing order.
x, 3, p
Let s = 9 - 9. Suppose 2*d + 0*d - 5*p - 23 = s, -3*p - 17 = 2*d. Put d, -4, -5 in ascending order.
-5, -4, d
Let c = 13/10 - 4/5. Let d = 1 + -10. Let g be d/(-6) + 2*-1. Put -4, g, c in increasing order.
-4, g, c
Let f = -0.51 + 0.01. Suppose -2 = 2*y - 10. Put -4, y, f in decreasing order.
y, f, -4
Suppose -4*l - 340 = 16*l. Sort 3, -4, l in descending order.
3, -4, l
Let p be 23 - (1 + (-2)/2). Let g = -21 + p. Put 1, g, 0.02 in ascending order.
0.02, 1, g
Suppose -4*k = -10 + 2. Suppose 8 = 2*n + k. Put -1, 2, n in increasing order.
-1, 2, n
Let b(g) = -3*g**2 - 6*g - 9. Let m be b(-2). Sort -2, m, 2 in decreasing order.
2, -2, m
Let u = 6 - 5. Suppose 3*b = 3*k + 3, 3*b - 11 = -0*k - 5*k. Suppose 4*w - 19 = 3*f, -b*w + 6*w = -f - u. Sort 2, w, -0.5 in decreasing order.
2, w, -0.5
Suppose 2*a + 4 = 4*a. Let n be (-10 + 25)*1 + -11. Put 10, n, a in increasing order.
a, n, 10
Let w = -1.04 - -0.04. Let k = w + -1. Let i = k - 0. Sort 4/7, i, -5 in descending order.
4/7, i, -5
Let s be (156/8)/(3/6). Suppose 10*q + 9 = s. Sort 2, -5, q in ascending order.
-5, 2, q
Suppose 0 = -8*h + 60 - 12. Suppose 9*y = 7*y - h. Sort y, -5, -2.
-5, y, -2
Suppose 5*u + 20 = 0, -t - u + 8 = 3. Let s = 0.4113 + -0.1113. Put t, s, 3 in decreasing order.
t, 3, s
Suppose -112*c + 108*c - 24 = 0. Let r = -10 - c. Sort -1, 2, r, -5 in decreasing order.
2, -1, r, -5
Let v = 0.409 + 1.481. Let o = v - -0.11. Let n be 6*3/(40 - -5). Put n, 4, o in decreasing order.
4, o, n
Let h = 0.3 - 4.3. Let u = 116 - 111. Sort u, 0, h.
h, 0, u
Let r = 1.34 + -1.24. Sort r, 3/4, 2, -28 in decreasing order.
2, 3/4, r, -28
Let y(d) = d + 1. Let m(h) = h**3 + 7*h**2 - h - 3. Let s be m(-7). Let q be y(s). Let c(g) = -g + 7. Let o be c(4). Put o, -3, q in increasing order.
-3, o, q
Let n = 152 - 92. Let q = 64 - n. Sort -0.4, q, 5.
-0.4, q, 5
Let g = -0.6 + 0.49. Let p = g - -0.17. Sort -5, -1, p in ascending order.
-5, -1, p
Let a(u) = 3*u**2 + 5. Let k(b) = -4*b**2 - 7. Let n(w) = -7*a(w) - 5*k(w). Let c be n(-1). Let i be (-2 - -2) + (3 - 42/15). Sort c, i, 2 in descending order.
2, i, c
Let w be (-33)/(-7) - (-4)/14. Suppose -21 = d - 5*a + 7, 4*d + a + 7 = 0. Put w, d, -4 in increasing order.
-4, d, w
Let n = -10 - -6. Let w(t) = 2*t + 10. Let g be w(-6). Let f be g*2/10 + (-104)/40. Put 4, n, f in decreasing order.
4, f, n
Let c = -9 - -14. Suppose 4*g - 31 = -3*x, -3*x + 0*g + 23 = 2*g. Suppose 11 = -x*r - 4. Put 4, r, c in ascending order.
r, 4, c
Suppose 3*u + 0*u + u = 0. Suppose -4*d = x + 3, u = -2*d - 2*x - 0*x - 6. Suppose -20 = 5*q + g, 40 = -3*q - 2*q - 5*g. Put q, d, 1 in descending order.
1, d, q
Let l(c) = 2*c**2 + 2*c + 10. Let f be l(0). Suppose -5*u - 5 = -f*u. Let s = 5/8 + -7/24. Sort s, u, 5.
s, u, 5
Let o = -4.4 + 5. Let x = o - -0.4. Let w = 4.89 + 0.11. Put 4, x, w in increasing order.
x, 4, w
Suppose 0*y = -3*y + 9. Suppose -y*v - 15 = 0, 20 = 3*w + 2*w - v. Suppose -w = 6*j - 3*j. Put 3/8, -2/5, j in ascending order.
j, -2/5, 3/8
Let f(z) = -35*z + 8*z - z**3 + 7*z**2 + 3 + 17*z. Let y be f(5). Sort 1, -1, y, 5.
-1, 1, y, 5
Let r = -0.068 + 27.068. Let j = -27 + r. Put 3/7, 2/9, j in increasing order.
j, 2/9, 3/7
Suppose 133 = 13*v - 6*v. Suppose 3*g = 5*s + 23, g + 2*g - 4*s - v = 0. Put -2, g, 5 in decreasing order.
5, g, -2
Let c = 95 - 143. Let k = c + 46. Let i(w) = -w**2 - 6*w + 6. Let g be i(-7). Put k, g, 5 in decreasing order.
5, g, k
Let m be -1*(4 - (-4)/(1 + -2)). Sort -12, 3, m.
-12, m, 3
Let g = -0.03 + 0.43. Let d = 764.53 - 761. Let n = 0.53 - d. Sort n, g, -4.
-4, n, g
Suppose 4*r - 12 + 5 = -z, -2*z = -r - 5. Let j be 119/(-68) - (r - 4). Let p = -2 + 6. Put p, j, -1 in descending order.
p, j, -1
Let g = -18.45 + 16.45. Put 0, g, -1/21, -1 in decreasing order.
0, -1/21, -1, g
Let n = 3 - -9. Let j = -23 - n. Let z = -32 - j. Put 4, z, 2 in decreasing order.
4, z, 2
Let r = 1/2 - -1/6. Let b(o) = o**2 - 16*o - 31. Let a be b(17). Put 2, r, a in increasing order.
a, r, 2
Let f = 1.146 + -4.146. Sort 0, 4.2, 4, f in decreasing order.
4.2, 4, 0, f
Let w = -27 + 26. Let t = 9 - 5. Let a be (t/(-52))/((-2)/4). Put w, a, -1/2 in descending order.
a, -1/2, w
Suppose 5*o - 121 = -3*u + 369, -2*u + o + 318 = 0. Let y = 131 - u. Sort -3, y, -4, 0 in descending order.
0, -3, -4, y
Let z = -0.3 - -0.2. Let l = -14 - -13.938. Let c = l + 0.462. Sort -0.4, c, z in decreasing order.
c, z, -0.4
Let m = -10.8 + -0.2. Let o = -10.88 - m. Let z = 5.12 - o. Sort z, -2, -5/3.
-2, -5/3, z
Let y = 20 + -19.989. Let b = 1.011 - y. Let o(w) = -w**2 + 6*w + 2. Let s be o(6). Put s, 0, b in decreasing order.
s, b, 0
Let g(h) = h + 12. Let d be g(-11). Let q = d + 4. Suppose -7*m + 8*m = -2. Put m, 0, q in descending order.
q, 0, m
Let r = 0.7 - 0.7. Let c be ((-88)/20)/(72/2900). Let j = c + 177. Put 0.5, j, r in decreasing order.
0.5, r, j
Suppose -5 = 5*z + 2*o - 14, 5*z - 3*o - 24 = 0. Let b(a) = 7*a**z - a**3 + 7*a - 5*a**3 + 7*a**2 + 6. Let c be b(-6). Sort c, 1, -2.
-2, c, 1
Let s = 0.1 + 5.9. Let d = s - 5. Let f = 14 + -11. Put -0.2, f, d in descending order.
f, d, -0.2
Suppose -3 = -3*s + 5*z - 7, -2*s - 5*z + 14 = 0. Suppose 5*q + q = 18. Let w be q + -2 + -1 + s. Put -2/9, -0.3, w in ascending order.
-0.3, -2/9, w
Let p = 94/3 + -1040/33. Let w = -63.9 - 1.1. Let m = w - -60. Put p, 2, m in decreasing order.
2, p, m
Suppose 0*y + y + 9 = 2*c, -y - 13 = -4*c. Put -1, -21, c in descending order.
c, -1, -21
Let p = 1.08 + 22.92. Let s = p - 19. Let d be 6/(-7)*(-2)/(-3). Sort 2/7, s, d in descending order.
s, 2/7, d
Let s = -2320.005 + 2320. Sort s, 2/13, 1/10 in descending order.
2/13, 1/10, s
Let m = -0.1 - -5.1. Let d = 6 - 1.5. Let c = m - d. Put c, 3/2, 1/5 in descending order.
3/2, c, 1/5
Let y = -19/6 + 10/3. Sort y, 2/5, -4 in increasing order.
-4, y, 2/5
Suppose -2*b = 5*i - 550, -3*b - 525 = -3*i - 2*i. Let u be (-24)/i - (-4)/18. Suppose -4*a - 10 = -2*a. Sort a, u, 1 in increasing order.
a, u, 1
Suppose 4*b + 72 = -2*y - 2*y, -70 = 3*y - 5*b. Sort 3, 5, 0, y.
y, 0, 3, 5
Let x = 713 + -593. Sort 4, 3, x.
3, 4, x
Let t(y) be the first derivative of -y**4/4 + 7*y**3 - 9*y**2 - 40*y - 5. Let p be t(20). Put p, -2, -3, -4 in descending order.
p, -2, -3, -4
Let h = -1473 - -1526. Sort h, 2, -5, -3 in ascending order.
-5, -3, 2, h
Let o = 326 - 273. Put 3, o, 5 in ascending order.
3, 5, o
Let s(q) = -q + 44. Let u be s(39). Put u, -1, -15, 1 in increasing order.
-15, -1, 1, u
Let f be -1 - ((-168)/63)/(2/3). Sort -106, -4, f in decreasing order.
f, -4, -106
Let h be (-3)/9 - 20/(-6). Let w be ((-5)/h)/(5/(-30)). Let l be (-4)/w - (-19)/35. Sort -1/8, -2/15, l in decreasing order.
l, -1/8, -2/15
Suppose -5*o = -5*q, 0 = 4*o + 3*q - 0*q - 35. Put -3, 6, -4, o in descending order.
6, o, -3, -4
Let n be (-2)/3 + 14/(-6). Let f = -505 - -503. Sort f, 5, 4, n in ascending order.
n, f, 4, 5
Let x = -0.089 - -4.189. Let h = -9.1 + x. Put h, 2, 9 in decreasing order.
9, 2, h
Let f = -6 + -21. Let x = -26.89 - f. Let b = 0.11 - x. Sort -3, b, 1/4 in descending order.
1/4, b, -3
Let m = -61 - -65. Suppose m
|
{
"pile_set_name": "DM Mathematics"
}
|
32, -5*f + 8 = 4*d. Solve 5*a = a - f for a.
-1
Suppose 5*a - 17 = -t, -2*t + 0 + 4 = 0. Let v be 18/4*(-1 + 7). Let q = v + -27. Solve 12 = a*m - q for m.
4
Let j(m) = -2*m**2 + 20*m + 14. Let s be j(10). Suppose -30 = s*p + p. Let g be (p + -2 - -4)*2/(-2). Solve 0*i + 4*i = g for i.
0
Suppose 1 + 6 = 3*p + 7. Solve p = -6*q - 138 + 108 for q.
-5
Let t(z) = -z**3 + z**2 + 4*z - 1. Let o be t(3). Let g be 0*1/(-5) + (-2 - o). Solve 19 + 6 = -g*w for w.
-5
Suppose 13*h - 70 = 125. Let j = h + -5. Solve -15 = 5*c + j for c.
-5
Let m(a) = 12*a**2 + 10*a + 4. Let i be m(0). Solve -i*s - 21*s - 4*s = 0 for s.
0
Let n = -194 + 191. Let v be 2*56/16 + n. Solve -8*f + 7*f = v for f.
-4
Let k be (-2)/3 - 40/(-6). Suppose -4*h = 100*q - 98*q - 10, 4*q + 3*h = 35. Solve 0 = -k*j + q*j + 20 for j.
-4
Suppose 3*k = -4*t - 172, 3*k = 4*t + 7*k + 168. Let n = t - -46. Suppose n = -2*v + v. Solve g + 5 = -v for g.
-5
Let b = 20454 - 20245. Solve 24*w - b = -65 for w.
6
Suppose 2*d = 6, l - 18 = -0*l - 5*d. Let y be (1/3)/((-7)/(-21)). Let o(m) = m**2 - 5*m + 2. Let s be o(5). Solve -y + l = -s*h for h.
-1
Suppose 39*k + 2*k + 21*k = 4278. Solve -k = 45*v - 114 for v.
1
Suppose -10*w - 442 = 58. Let c be (((-40)/w)/((-4)/(-30)))/2. Solve 5 = -2*g - c for g.
-4
Let m(u) = u**3 + 15*u**2 + 43*u + 19. Let n be m(-7). Solve -8 = n*d - 114*d for d.
2
Suppose -9 = -47*x + 13 - 22. Solve x = 92*i - 28*i + 256 for i.
-4
Suppose 0 = 3*o - 24 - 147. Suppose 0 = -2*y + b + 27, o = 3*y + 4*b. Solve -16 = z - y for z.
-1
Let j = -225 - -232. Suppose -j*t + 41 + 43 = 0. Let m(i) = i**2 + 8*i + 9. Let h be m(-7). Solve -h*b - t = 2*b for b.
-3
Let n be (-40)/18 - -2 - (-2240)/360. Solve -n*x = 120 - 96 for x.
-4
Let b(u) = u**3 + 9*u**2 + 7*u - 6. Let d(m) = m**3 + 11*m**2 + 9*m + 9. Let x be d(-10). Let i = 11 - x. Let k be b(i). Solve a = -0*a + k for a.
2
Let o = -97 + 97. Suppose 9*s - 6*s - 39 = o. Suppose 17 = 6*m - s. Solve m = -3*f + 2 for f.
-1
Let q be 30/7*(-3 + -4). Let n = q - -34. Solve -6 = -d + n*d for d.
-2
Let x(a) = a**2 - 8*a - 294. Suppose -48*w + 49*w + 14 = 0. Let f be x(w). Solve f + 10 = 6*i for i.
4
Suppose -4768 - 10744 = -227*v + 2194. Solve 33*p - v*p = 360 for p.
-8
Suppose 4 - 2 = 2*p + h, 2*h = -2*p. Let s(j) = -j**2 + 4*j - 2. Suppose 2*o = -12 + 18. Let n be s(o). Solve -w = -p + n for w.
1
Let p = 356 + -346. Let d = -47 + 53. Solve 8*z - p*z - d = 0 for z.
-3
Let c = 32555 - 32539. Solve -23*f = -31*f + c for f.
2
Let h = -4988 + 4988. Solve 65*b + 0 + h = 0 for b.
0
Let g = -5689 + 6178. Solve -20 = -494*u + g*u for u.
4
Suppose 31*d = 30*d + p - 5, -4*d + 5*p = 25. Solve d = 4*q - 5*q + 3 for q.
3
Suppose -1066 = 3*r + s - 5*s, -2*r = s + 707. Let h = -344 - r. Solve h*u = 14*u - 20 for u.
5
Let k(d) be the second derivative of -d**5/10 + d**4/4 + d**3/3 + d**2 + 9*d + 5. Let h be k(-1). Solve 0 = h*s + 7 + 13 for s.
-4
Let w(s) = -12 - 8*s + 0*s - 5*s + s**2 + 20*s. Suppose -3*n = n + 36. Let o be w(n). Solve o = -f - f for f.
-3
Suppose -3*n - 3 + 24 = 0. Suppose 9*s - 93 = 240. Solve -n*c + s = 2 for c.
5
Suppose v = 2*o + 2, 22 = 5*v - 0*v - 4*o. Solve -18 = 3*p + v*p for p.
-2
Suppose -90 = 127*u - 90. Let o = 8 - 5. Solve o*g + 6 = -u for g.
-2
Let q be 1 - 6 - (35 - (4 + 1)). Let g be ((-25)/q*4)/((-3)/(-21)). Solve -2*b = 2*b + g for b.
-5
Suppose 35*u = -37*u. Suppose -4*d = y - 4*y + 29, -5*d - 40 = -4*y. Suppose -4*b + y = b. Solve -h + b*h - 4 = u for h.
2
Let a be (16/(-6) - -2)*9/(-1). Suppose 0 = -3*h - a, 12*b - 8 = 8*b + 2*h. Let i = 36 + -35. Solve -z - b = i for z.
-2
Let l = -46 + 48. Suppose -143 + 27 = l*y. Let u = -56 - y. Solve u = -4*t + 10 for t.
2
Let i(d) = 20*d + 23*d - 40*d + 53. Let j be i(-16). Solve -8 + j = -x for x.
3
Suppose -d + 3*u - 282 = 0, 4*d - 2*u + 874 = d. Let x = d + 298. Solve -o = x*o for o.
0
Suppose 0 = 3*k - 5*s + 12 - 53, -3*k + 37 = -4*s. Suppose -d = -33*p + 37*p - 16, p - k = -d. Solve 0*c = -d*c + 3*c for c.
0
Let m be (24 - (-20)/(-5)) + 6. Let i = m + -20. Solve i = -4*q + 2 for q.
-1
Suppose 4*o - 2*w + 59 - 19 = 0, -3*o + 3*w - 33 = 0. Let z(g) = g**2 + 22*g + 117. Let d be z(o). Solve d = -9*x + 10*x for x.
0
Suppose -2506*s + 2519*s - 65 = 0. Solve 7 = -s*z - 8 for z.
-3
Suppose -32*g + 18 = -23*g. Let n(u) be the third derivative of -u**4/24 - u**3/6 + 2*u**2. Let w be n(-6). Solve 0 = -w*l + g*l for l.
0
Let w = -6 - 20. Suppose -3*m + 3*l + 56 = -37, -4*l = -5*m + 155. Let f = m + w. Solve -2 = -f*a + 6*a for a.
-2
Let v = 46 - 34. Let x = v - 56. Let s = x - -46. Solve 2*p = -s - 2 for p.
-2
Let f be 29536/728 - (18/7 + -3). Solve 54*b - f*b = -65 for b.
-5
Let g = -691 + 345. Let w = g - -358. Solve -7*b = -w*b + 25 for b.
5
Let u be (-2492)/(-78) - (53912/(-1794) - -30). Solve 190 = -u*f + 70*f for f.
5
Let x = -315 + 325. Solve -x*o = -11*o - 5 for o.
-5
Suppose -15 = 5*p + 25. Let j(l) = 2*l + 25. Let c be j(p). Solve -c*o - 12 = -3*o for o.
-2
Suppose 5*m + 31 = i + 46, -5*i - 2*m + 6 = 0. Suppose 0*y - 5*t + 6 = -2*y, t - 4 = -y. Solve i = -y*x - x + 12 for x.
4
Suppose f = -1907 + 1920. Solve 9*x - f*x + 16 = 0 for x.
4
Suppose 37*s + 57 - 205 = 0. Suppose 16 = 5*q + 6. Solve s*c + q*c + 12 = 0 for c.
-2
Let k(r) = 2*r - 3. Let f be k(2). Suppose -4*z + 159 + f = 0. Suppose -5*w - y = -24, -4*w - 5*y = w - z. Solve 0 = w*q - 2*q for q.
0
Let z be 4/(-24) + 38/12. Suppose 40*c - 3*s = 43*c - 51, -z*c - 5*s + 55 = 0. Solve c*b - 4 = 13*b for b.
2
Suppose 0 = -3*n - r + 2, -3*n + 6*n = 2*r + 5. Suppose -n - 4 = -m. Suppose -2*i + 10 = 0, -2*z - m*i = -4*i - 7. Solve v = 2 + z for v.
3
Let k(m) = -m**3 - 15*m**2 - m + 214. Let o be k(-14). Solve -18*p - 126 = -o*p for p.
9
Let u = 2863 - 2700. Solve -199 = -9*a - u for a.
4
Suppose -23*s + 32*s + 27 = 0. Let o(i) = i**2 - 11*i - 36. Let p be o(s). Solve 2*c - p*c = 4 for c.
-1
Let q = 500 + -854. Let z = q + 362. Solve -4*h = -z*h - 16 for h.
-4
Suppose 0 = -5*p - 2*w + 705, 2*w - 34 + 163 = p. Let y = 139 - p. Solve -4*n - 13 + 1 = y for n.
-3
Suppose -4*b = -3*b - 3. Suppose -3*l - 264 = 3*x, 196 = -2*x + b*l - l. Let z = 94 + x. Solve 3 = a + z for a.
2
Suppose -4*v + 24 = 3*g, -42 = -5*v - 2*g - 5. Let u(p) = p**3 - 7*p**2 - 10*p - 65. Let x be u(v). Solve -x*h = 15 - 43 for h.
4
Let l be -2 - -4 - (0 + 0). Suppose 0 = u + 7 - 10. Suppose -u*r - l*g + 3 = 0, 0*g = -4*r - 3*g + 4. Solve h - r = -0*h for h.
1
Let d(v) = 3*v - 12 - 1 + 52 + 8*v. Let j be d(-15). Let p = j - -134. Solve -5*s + p = -s for s.
2
Suppose 10*g = -2*n + 11*g + 132, 5*g - 30 = 0. Solve n = -14*b + 37*b for b.
3
Let a(w) = -w**3 + 3*w**2 + 19*w + 7. Let r be a(6). Suppose r*u + 10 = 18*u - 5*o, 0 = -3*o + 6. Solve 2 = -u*z + 10 for z.
2
Let k be (156/(-6))/(-2) + 212. Solve k*i = 229*i + 12 for i.
-3
Let y be 1/(2/(-3))*330/(-99). Suppose -h - 6*n + 5*n + 50 = 0, 0 = -y*h + n + 280. Let q = -51 + h. Solve 21 = q*o + 1 for o.
5
Let q = 301 - 207. Solve 82*r - q*r - 72 = 0 for r.
-6
Suppose c + 35 = 6*c. Suppose -2*b = -11 + c. Let n = 33 - 30. Solve b*x = n*x + 1 for x.
-1
Suppose 28*n - 14*n + 1760 = 54*n. Solve 25*s = n*s + 114 for s.
-6
Suppose -4*k + 33 = -5*z, -3*k + 0*z - 19 = 5*z. Let s be 6/21*7 - -1*k. Solve 22 - s = 6*r for r.
3
Suppose -r - 10*n + 6*n = -176, 4*r + 2*n = 676. Solve 79*c - 107*c = r for c.
-6
Suppose 0 = -15*u + 21*u - 1776. Let m = u + -290. Solve m*y - 2 - 4 = 0 for y.
1
Let z(g) be the third derivative of -g**6/120 - 7*g**5/30 - 31*g**4/24 - 37*g**3/3 - g**2 + 32. Let n be z(-12). Solve 13*m = 8*m + n for m.
2
Let p = 12980 - 12923. Solve -r - p = -54 for r.
-3
Let r be (19 - 17) + (-2)/(6/(-351)). Let y = r - 111. Solve w = -w + y for w.
4
Let c(h) = -h**3 - 9*h**2 - 20*h - 36. Let f be c(-7). Solve 24 = -f*b + 36 for b.
2
Suppose 43 = -r - 24. Let q = r - -68. Let d be (48/(-32))/(q/(-1*2)). Solve d*k = 2*k for k.
0
Let s(a) = -12*a**3 - 4*a**2 + 2*a + 2. Let c be s(1). Let t be (c/(-15))/(2/15). Solve -y + t = -4*y for y.
-2
Suppose -13*b - 12*b - 17*b = -46*b. Solve b = -3*w + 15 - 3 for w.
4
Let r be (-8)/(-10) + 20/(-25). Let d be 0 + 3 - (r + 0). Let x = -8 + 10. Solve -o - d = x*o for o.
-1
Let i(x) = 4*x**2 + 23*x + 5. Let f be i(-5). Let q(m) = -m**3 - 13*m**2 - 30*m + 12. Let g be q(f). Solve -7*v +
|
{
"pile_set_name": "DM Mathematics"
}
|
245*q) - 3*q + 2*q + 0*q.
7907*q
Expand (0*m - m - 3*m)*(-804 + 406 - 2974*m + 398).
11896*m**2
Expand (190*g - 190*g - 5 + 7*g**2)*(8 + 5 - 3)*(-g + 3*g**2 + g).
210*g**4 - 150*g**2
Expand (-3*p + 3*p - 2*p)*(2*p - 3*p + 3*p) + 0*p**2 + p**2 + p**2 + (4 - 2 - 1)*(-6*p**2 + 3*p**2 + p**2) + (207 - 17*p - 207)*(26 - 26 + 28*p).
-480*p**2
Expand (2*u**3 - u**3 - 3*u**3)*(2*u**2 + 17 - 17) - 391*u**2 - 890*u**5 - 378*u**2 + 768*u**2.
-894*u**5 - u**2
Expand (-4*b - 3 + 3)*(11 - 32 + 19)*(0*b - 4*b + b)*(-7 + 8 + 6)*(-4*b + 5*b - 3*b).
336*b**3
Expand (59*x - 8*x + 14*x)*(x + 3*x - x)*(2 - 2 + 7*x).
1365*x**3
Expand (18*z + 3 + 13*z - 30*z)*(10*z - z + 0*z + 4 - z - 4 + (z + 0*z - 3*z)*(2 + 2 - 3) - 4 + 4 + z)*(-2*z + 4*z + 0*z).
14*z**3 + 42*z**2
Expand -5053*y + 6616*y + 8547*y + 7115*y + 3845*y + (2*y - 4 + 4)*(-6 + 2 + 3).
21068*y
Expand (7*z - 3*z + 0*z)*(2*z + 0*z + 0*z) + 3*z**2 + 3 - 3 + (3*z - 3*z + 2*z**2)*(4 - 4 + 2) + 1 - 1 + z**2 - 32 - 1133*z**2 + 32.
-1117*z**2
Expand (-9*v**4 + 9*v + 7*v**4 - 4*v)*(1097 + 834 - 503 + 90).
-3036*v**4 + 7590*v
Expand 27*n**2 + 22*n**2 - 6*n**2 + (3*n - 4*n + 0*n)*(-5*n + 0*n - 4*n).
52*n**2
Expand i**2 + 2*i**3 - i**2 + (19*i - 6*i + 4*i)*(2*i**2 + i - i) - 19 + 6 - 26*i**3 + 25*i**3.
35*i**3 - 13
Expand -4762*a - 4765*a + 9524*a + 228 + (-a + 3 - 3)*(4 + 3 - 4).
-6*a + 228
Expand (-w**4 - 2*w**4 + 2*w**4 + (7*w**2 - w**2 - 2*w**2)*(-w**2 - 3 + 3))*(-8*w - 5 + 5) + 0*w**5 - 21*w**5 + w**5.
20*w**5
Expand (2*k**3 - 2*k**3 + 2*k**3)*(0 + 0 - 2*k**2) + k**5 - k + k - 37*k**5 - 15*k**5 + 7*k**5 + 53 + k**5 - 53.
-47*k**5
Expand (36 - 22610*i**2 + i**3 - 9*i + 22610*i**2)*(-3 - 9 + 3)*(-2 + 1 + 2).
-9*i**3 + 81*i - 324
Expand (-14*m + m + 4*m)*(-12*m**2 + 2*m**2 - 5*m**2) + 3*m**3 + 0*m**3 - 4*m**3.
134*m**3
Expand (-4*c + 0*c + 2*c)*(0 + 1 + 4)*(309*c - 5045*c**2 + 5045*c**2 - 2*c**3).
20*c**4 - 3090*c**2
Expand 21*y**2 + 2*y**2 + 29*y**2 + 3*y**2 + 0*y**2 - 5*y**2 + (2 + 0 + 1)*(2*y**2 + 4*y**2 - 4*y**2) - 2*y**2 + 4*y**2 - 3*y**2.
55*y**2
Expand 53*m**2 - 107*m**2 - 42*m**2 + (m + 0*m + 3*m)*(3 - m - 3) - m**2 + m**2 - m**2.
-101*m**2
Expand (-39 + 39 - 13*z)*(0 - 4 + 3) + (z + z - z)*(-4 - 3 + 5) + 6*z - 3*z - 2*z + 2*z + 0*z - 5*z - 3*z + 2*z - 2*z.
6*z
Expand -3*p**3 + 8*p**2 - 8*p**2 + (0*p + 5*p - 3*p)*(-7*p**2 - p**2 - 7*p**2) + 18*p + p**2 + 8*p**3 + 22*p - 38*p.
-25*p**3 + p**2 + 2*p
Expand (11 - 4186*r + 25*r**2 + 4186*r - r**3)*((2 + 3 - 3)*(5*r - 3*r + 0*r) - 3*r + 3*r + r)*(-1 + 2 + 1).
-10*r**4 + 250*r**3 + 110*r
Expand (1 - 1 - 2*v)*(-143043*v + 2907*v**2 + 143043*v) - 2*v**3 + 6*v**3 - 3*v**3.
-5813*v**3
Expand (m**2 + 3*m - 3*m)*(817*m + 1243*m + 2675*m + 306*m + 1217*m).
6258*m**3
Expand (230018*u - 2 - 241696*u - 2 + 2)*(-5 + 5 + 3*u**2).
-35034*u**3 - 6*u**2
Expand (-4*z**2 + z**2 + 19*z**2)*(-4*z**2 - 4*z**2 + 5*z**2) - 10*z - 2*z**4 + z**2 + 10*z.
-50*z**4 + z**2
Expand (3 + r - 3)*(3440*r + 2274*r - 11315*r - 8529*r)*(5*r**2 + r**2 - 5*r**2).
-14130*r**4
Expand 2*x**3 + 10*x**3 - 4*x**3 + (2 - 2 - x)*(33*x**2 - 99*x**2 + 38*x**2) + (x**2 + x**2 - x**2)*(-5*x + 2*x + 2*x).
35*x**3
Expand (-5 + 35 + 28)*(-1 + 3 - 7)*(-w + w + w).
-290*w
Expand (-68 + 68 + 124*j)*(-1 + 2 - 2) + 6*j - 4*j - j + (-2*j - 3*j + 4*j)*(1 + 3 - 1) + 4 - 4 + j.
-125*j
Expand (3*z**4 - 4*z**4 + 0*z**4)*(-204*z + 2350*z - 4 + 10*z + 602*z - 3).
-2758*z**5 + 7*z**4
Expand (7*q + 22*q + 10*q)*(5*q + 8 - 8) + 4*q**2 - 2*q**2 + 0*q**2 + 2*q**2 - 3*q**2 - q**2 + (0 + 2 - 4)*(-5*q**2 + 2*q**2 + 4*q**2).
193*q**2
Expand -1785*f**4 + 124*f**2 + 130*f**2 - 254*f**2 + (3*f**3 - 6*f**3 - f**3)*(3*f + 4*f - 6*f).
-1789*f**4
Expand (7*m - 10*m - 12*m)*(2 - 2 + 1)*(884*m - 440*m - 386*m - 2).
-870*m**2 + 30*m
Expand (2 - y - 2)*(-1798*y + 2420*y + 1683*y)*(2*y**2 + 3*y - 3*y).
-4610*y**4
Expand (0 - 1 + 3)*(-720 + 577*p + 567*p - 1145*p).
-2*p - 1440
Expand (4 - 20 + 2)*(2*h - 2*h + 2*h**3 + (4*h - 2*h - 4*h)*(-3 + 2*h**2 + 3) + 3*h**3 - 7*h**3 - 30*h**3).
504*h**3
Expand (2657*u**4 - 5843*u**4 + 2694*u**4)*(-u - 2*u + 0*u).
1476*u**5
Expand g + g**3 - 6*g + 0*g**3 + 2*g**3 + 2*g**3 - 2*g**3 + (2*g**3 - 4*g**3 + 3*g**3)*(-157 + 98 + 117).
61*g**3 - 5*g
Expand -3*r + 2*r + 3*r + (2 - 6 + 3)*(1 - 2*r - 1) + 1 - 1 + r + 3 + 8 - 26*r - 8.
-21*r + 3
Expand (-3514 + 5*x**4 + x**4 - 8083 - 7*x**4 - 12829)*(-2*x + 3*x + x).
-2*x**5 - 48852*x
Expand 2*u**4 - 2*u + 3*u - 4*u**4 + (-8*u + 10*u + 9*u + (-3 - 2*u + 3)*(-5 + 0 + 4) - u + 3*u - 3*u)*(-3*u**3 - 29*u**2 - 5*u**3 + 45*u**2).
-98*u**4 + 192*u**3 + u
Expand (-46*a**2 + 146*a**2 - 11*a**2)*(-5 - 2 + 0).
-623*a**2
Expand ((-2 + 1 + 2)*(3*u + 3 - 3) - 2*u - 19*u + 8*u - 24*u + 23 - 23)*(-3*u**2 + 8*u**2 - u**2).
-136*u**3
Expand -3*f + 5*f + f + (223*f + 132*f - 9*f)*(-1 - 1 + 3).
349*f
Expand (m + 3*m**2 - m)*(-12248*m - 30722672 + 30722672).
-36744*m**3
Expand u - 3*u**2 - u + (1 + 2*u**2 - 1)*(-1 + 3 - 3) + 0*u + 0*u - u**2 - 3*u + 3*u - u**2 + (-3*u - 1 + 1)*(-26*u + 75 - 75).
71*u**2
Expand (-4 + 0 + 1)*(-37*k - 586*k - 113*k - 103*k).
2517*k
Expand -i + 5*i - 6*i + (-11 + 7 + 1)*(-9 + 3 - 32*i + 8).
94*i - 6
Expand 2*q**5 - 7*q**5 + q**5 + (0*q + 0*q + q)*(-4*q**4 + 0*q**4 + 6*q**4) + 3*q**5 + 0*q + 0*q - q**4 + q**4 + q**5 + 384*q**4 + 168*q**5 - 384*q**4.
170*q**5
Expand 22*u**4 + 7*u**4 + 44*u**4 + 60*u**4 - 28*u**3 + 28*u**3 + 25*u**4 + (-5 - u**2 + 5)*(3*u**2 + 0*u**2 - 2*u**2).
157*u**4
Expand -4*n + 0*n + 6*n + (4 - 4 - 1)*(2*n + 1 - 1) + 0 + 0 + n - 6*n - 31 + 31 + (-4*n + 4*n - n)*(-1 - 4 + 2)*(2 - 4 + 4)*(-3 - 4 + 5)*(-2 + 2 - 2).
19*n
Expand (-2*n**2 - n**2 + 2*n**2)*(2704 + 1101 + 1654).
-5459*n**2
Expand (5 - 3 + 0 + 2*u)*(2 + 2 - 1)*(292 - 144 + 137).
1710*u + 1710
Expand (4*r**2 - 4*r**2 + 2*r**2)*(2*r**3 - 2 + 2) + (-1 + 1 - 1)*((r**3 - 3*r**3 + 6*r**3)*(-r - 4*r**2 + r) - 271*r**3 + 271*r**3 + 37*r**5).
-17*r**5
Expand -679*s**2 - 951*s**2 + 99*s**2 - 191*s**2 + (0 + 0 + 2*s)*(-2*s + 4*s - 3*s) - s**2 - s**2 + 3*s**2.
-1723*s**2
Expand ((-7 + 7 - 10*k)*(-2*k + 6*k - 3*k) - k**2 + 0*k**2 + 2*k**2)*(-54 - 13 + 2)*(-k**2 + 3*k - 3*k).
-585*k**4
Expand (-6 - 54*l + 5 - 368*l + 1 + 0)*(197 - 42*l**2 - 197).
17724*l**3
Expand (-3*m**2 - 2 + 2)*(-4*m**2 + 5*m**2 - 3*m**2) + (4*m**2 - 11*m**2 - 21*m**2)*(5*m**2 + 0*m**2 + 3*m**2).
-218*m**4
Expand (5 - 13 - 33)*((-4 + 2 + 3)*(2*w**2 - 3*w**2 - w**2) - 156*w + 22*w**2 + 156*w).
-820*w**2
Expand 2*v**5 - 2*v**5 + v**5 + (-9*v**2 - 7*v**2 - 23*v**2)*(23*v**3 + 89*v**3 - 14*v**3).
-3821*v**5
Expand (-1399 + 1399 - 47*u)*(1 + 4 - 4)*(3 - 6 + 0).
141*u
Expand ((0*n + 0*n - 2*n)*(-1 + 4 - 2) + 19*n - 687*n - 120*n)*(-2 + 0 - 2)*(-2 + 4 - 3).
-3160*n
Expand (-3*z + 3*z + 4*z)*(-3 + 3 + 3)*(-z - 2 + 2)*(-18 - 6 + 2).
264*z**2
Expand (-6*a**3 - 6*a**3 - a**3)*(6 - 21*a - 6) - 7*a**4 - 4*a**4 - 2*a**4.
260*a**4
Expand (0*l + 6*l - 2*l)*(-9 + 9 + 11*l) + 18*l**2 + 2124 - 2124.
62*l**2
Expand (0 - 2 + 3)*(9532*f + 2884*f - 6637*f + 7922*f).
13701*f
Expand (-3 - 3 + 5)*(315 + 31*n - 315) - n + 3*n - n - 2394 + 2394 - 3*n + (4 - 3 - 2)*(4*n - n + 0*n).
-36*n
Expand p**3 + 3 - 3 + 2*p**3 + 3*p**3 - 3*p**3 - 32*p**2 + 32*p**2 - 21*p**3 + (p**3 - 2*p + 2*p)*(0 + 2 + 4).
-12*p**3
Expand (6*q - 3*q**2 - 6*q)*(-2*q - q + 4*q)*(-2497 + 1233 - 3416).
14040*q**3
Expand 1 - b - 1 + (23*b - 23*b - 13*b)*(-4 + 2 + 3) + (0 - 1 - 1)*(0*b - 4*b + 6*b) + (-2*b - 1 + 1)*(1 - 1 - 4).
-10*b
Expand (5 + 6 - 6)*(-2*a**2 - a**2 + a**2)*(-182*a**2 + 492*a**2 + 217*a**2).
-5270*a**4
Expand (3 - 3 - 1 + (2 + 1 + 1)*(-5 + 8 + 5))*(-33*p + 54*p + 37*p).
1798*p
Expand (6 + 4 - 2*d - 1)*(-51*d**2 + 16*d**2 + 22*d**2) + (-2*d**2 + 3*d**2 + 0*d**2)*(-14 - 2*d + 14).
24*d**3 - 117*d**2
Expand (g - 3*g + g)*(g**2 + 5*g**2 - 4*g**2) - 33*g**3 - 274*g**2 + 274*g**2 + (-g**2 + g**2 - g**3)*(4 + 9 - 4).
-44*g**3
Expand (0 + 1 - 2)*(-2*a**2 - a**2 + a**2) + (-22 - 24 + 42)*(-304 + 304 + 91*a**2).
-362*a**2
Expand (-4*h - 37 + 37)*(50 + 62 + 28)*(-3 - 1 + 2).
1120*h
Expand 3*y - y + 5*y + (-3 + 18*y - 27*y + 6)*(-2 - 2 + 2) + 113 - 5*y - 113.
20*y - 6
Expand (4*h**2 - 3*h**2 + h**2)*((-3*h + h + 3*h)*(-2 + 0 - 2) - 2 + 7*h + 2) + 9*h**3 - 4*h**3 + 3*h**3.
14*h**3
Expand (-25 - 29*y + 0*y + 25*y)*(-11*y + 10 - 10) - y + y + 2*y**2.
46*y**2 + 275*y
Expand (3*j**4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
5?
-5
Which is the seventh biggest value? (a) 2/5 (b) -0.2 (c) 2 (d) 3 (e) -13 (f) -0.22 (g) 99
e
What is the third smallest value in 5, 2/3, -0.02, -4175, 0.33?
0.33
Which is the biggest value? (a) 0.3 (b) -706493 (c) 1/5
a
Which is the biggest value? (a) -2/3 (b) 0.1503 (c) -13 (d) 5
d
Which is the third biggest value? (a) 3 (b) -2 (c) 5.16 (d) -0.11 (e) -3 (f) 0.3
f
What is the fourth smallest value in 2.01, 3, -3/5, 52, 0.5?
3
What is the sixth smallest value in -3, -4/3, 1/4, 6/29, -2/27, 3?
3
What is the third smallest value in -2, 2/5, -4379, -1531?
-2
Which is the seventh smallest value? (a) -0.2 (b) -0.5 (c) -4 (d) -2 (e) -1/4 (f) -7153 (g) -0.4
a
What is the fifth biggest value in -6/7, 5/4, 0.3, 8/13991, -0.5?
-6/7
What is the smallest value in -1.40696, -2/9, 0.07, -2?
-2
What is the third biggest value in 4/9, -27, -2/51979?
-27
What is the third biggest value in 2/3, -7, 0.147, 2/7, -22/97?
0.147
Which is the second smallest value? (a) 0.79 (b) 5 (c) -38701
a
What is the fifth biggest value in 13, -0.29, 4, 1/6, 2, -13, 2/3?
1/6
Which is the fourth biggest value? (a) -5 (b) -1/3 (c) 79 (d) -3 (e) 2/3 (f) -0.11
b
Which is the smallest value? (a) 3 (b) 1474 (c) 7.92
a
Which is the second smallest value? (a) -139 (b) 2/17 (c) -3 (d) -13455
a
Which is the third biggest value? (a) -0.5 (b) -1 (c) 8/2635
b
Which is the third smallest value? (a) 28/13 (b) 2/9 (c) -5 (d) 200
a
Which is the smallest value? (a) -3 (b) -6/7 (c) 6/83 (d) 6/563
a
Which is the fourth biggest value? (a) 207 (b) 0.02 (c) -7 (d) 0 (e) 10 (f) -2/3
d
Which is the fifth biggest value? (a) -1/20 (b) 0.05 (c) -62 (d) 0.5 (e) 3/13
c
What is the biggest value in -1/3, 2/481, -3/5, 26, 0.039, 2?
26
What is the fourth smallest value in 17, 0, 2/9, 2645510?
2645510
Which is the third smallest value? (a) -0.45078 (b) 1/3 (c) -316
b
Which is the smallest value? (a) -0.28964 (b) -0.2 (c) -2 (d) 0.5 (e) -12
e
Which is the second biggest value? (a) 1/6 (b) -0.06 (c) -0.4 (d) 40.4 (e) 0 (f) -35
a
Which is the smallest value? (a) -0.1834 (b) -0.2 (c) 0.5 (d) 3 (e) -41 (f) 1/3 (g) 1
e
What is the fourth biggest value in 3, 5, 4, 30, -1.49, -5, -1/5?
3
Which is the fourth biggest value? (a) -5 (b) -24.51 (c) -2/5 (d) 0.1 (e) 3.4 (f) 5
c
What is the smallest value in -579.2, 70, -4, -28?
-579.2
What is the fourth smallest value in 540, -0.2, -0.05, 1/50?
540
What is the biggest value in 1/2, -4107, 0.945, 0.3, -1/5, 5?
5
What is the biggest value in -5, -996.66187, 1/2?
1/2
Which is the fifth biggest value? (a) 2 (b) -998 (c) -2/2993 (d) 8 (e) 0.3
b
Which is the second biggest value? (a) 0.08 (b) 51273 (c) 4 (d) -0.05 (e) -0.4 (f) 16
f
Which is the third biggest value? (a) 153 (b) -623 (c) -1.44
b
What is the smallest value in 234, -118, 3/7, -1537?
-1537
What is the second smallest value in 3, -15559, 2.73?
2.73
Which is the biggest value? (a) -3 (b) 72/631 (c) 2/11
c
Which is the fourth smallest value? (a) 0.1 (b) 1/74 (c) 0 (d) -1/3 (e) -570
b
Which is the smallest value? (a) -377.6 (b) -1/149 (c) -0.3
a
Which is the fourth smallest value? (a) -0.5 (b) -5 (c) 0.27 (d) 4/33 (e) -34
d
What is the second smallest value in -83958, 6.4, -1/7, 0.8?
-1/7
What is the smallest value in -376, 4/3, -1/1891?
-376
What is the second biggest value in -166, 9/13, 0, 0.3, 6.9, 2/3?
9/13
Which is the second biggest value? (a) -3 (b) -0.01 (c) 1 (d) 1/458
d
What is the fourth smallest value in 0, -0.3, 136/567, 57.12?
57.12
Which is the fifth biggest value? (a) -1 (b) 6/113 (c) 2/3 (d) 3/4 (e) -0.51
a
What is the fourth smallest value in 1, 0.83, -2, 5, -2000?
1
What is the fifth smallest value in -0.5, 155.2188, 1/4, 0, -0.1?
155.2188
Which is the second biggest value? (a) 0.063 (b) 11 (c) 1 (d) -1 (e) -1/4
c
What is the fourth biggest value in 2/5, 2/14769, -2/5, 0.01?
-2/5
Which is the smallest value? (a) -4/41 (b) -1 (c) 287 (d) 578
b
What is the fifth biggest value in -157, 2/7, 1/2, 1/6, -1, 1/53?
-1
What is the fourth biggest value in 3/2, -0.4, 2/5, 99116, -0.5?
-0.4
Which is the fifth biggest value? (a) -2/9 (b) -0.5 (c) 2/13 (d) -157/4 (e) -1 (f) -4/9
e
What is the second biggest value in 0.2, -2, 43, -0.5, -5, -128, -1/3?
0.2
What is the fourth biggest value in 0.1, 69, -4, -8859?
-8859
What is the fourth biggest value in -4, 1198/3, 4, -3/2, -0.1?
-3/2
What is the third smallest value in -0.255, -1, -1.25, 106?
-0.255
What is the second smallest value in 2/3, 5, -4, 0.2, -2/227, -216?
-4
What is the third biggest value in 5, 0.02051, -2/23, 0.4?
0.02051
What is the sixth biggest value in 5, 4, 22, -460, 0.4, -0.01, 3?
-0.01
What is the third smallest value in -2/9, -1, 2, 589, -2/47?
-2/47
Which is the third smallest value? (a) -174 (b) 1/7 (c) 828
c
Which is the fifth biggest value? (a) -0.67 (b) 5 (c) 7513 (d) -7 (e) 3/5
d
What is the fifth smallest value in -15.44, 0, -0.046, 1, -3?
1
Which is the second smallest value? (a) -48 (b) -1 (c) -0.07 (d) -2893 (e) 0
a
Which is the second biggest value? (a) 4/5 (b) -2/5 (c) -0.1 (d) 2/11 (e) -14 (f) -59
d
What is the biggest value in 0.26, -785, -0.4, 22.8?
22.8
Which is the second smallest value? (a) -2 (b) 3 (c) -0.1 (d) 15940
c
Which is the smallest value? (a) -0.24 (b) -1.327 (c) 4.23 (d) 1
b
Which is the seventh smallest value? (a) -2/5 (b) 2/3 (c) -2/9 (d) -3 (e) -5654 (f) -42 (g) 0.2
b
Which is the third smallest value? (a) 4241 (b) -185/4 (c) 11
a
What is the fifth biggest value in 1/3, 5982, -5/3, 23, -2/13, -0.3?
-0.3
Which is the biggest value? (a) -9482 (b) -6 (c) 14/3 (d) 0.041 (e) -2/9
c
Which is the biggest value? (a) 3 (b) 0.1 (c) -1.1 (d) -331924 (e) -0.2
a
Which is the fourth smallest value? (a) 15 (b) -3 (c) -7 (d) 1 (e) -0.4 (f) 3 (g) 986
d
What is the second biggest value in -12, -0.13, -185/14?
-12
What is the second biggest value in -2.2, -5/13, -31.18?
-2.2
What is the second biggest value in -0.4, 0.036, -8, -276, -2, 3/5, -0.1?
0.036
What is the biggest value in 0.5, 5, -207, -46.22?
5
Which is the fourth biggest value? (a) 1/3 (b) 77 (c) 3 (d) 13 (e) 2 (f) 4163
c
What is the smallest value in 452, -3625.2, 0.5?
-3625.2
Which is the second smallest value? (a) 0.351 (b) 0.03 (c) 3 (d) 5035
a
Which is the biggest value? (a) 1/15 (b) -4 (c) 0 (d) -1/3 (e) 0.5 (f) -63 (g) -0.034
e
Which is the third biggest value? (a) -1 (b) 4 (c) 183 (d) 139 (e) -4/21
b
What is the third smallest value in -1/102, -383, -62?
-1/102
What is the third biggest value in -540, -0.0617, 0.2, -5?
-5
What is the second smallest value in -4/3, -1/2, -829.05, -0.2?
-4/3
Which is the third biggest value? (a) 4 (b) -2/9 (c) 0.97 (d) -94/5 (e) 1
c
What is the biggest value in 3/7, -4, -0.1, 1, 381/14, 3, 1/2?
381/14
Which is the third smallest value? (a) -3 (b) 7/446 (c) -1 (d) 0.13 (e) -1/7 (f) 12/7 (g) -2/9
g
Which is the third biggest value? (a) 11909235 (b) 4 (c) -27
c
Which is the sixth smallest value? (a) -4 (b) -16 (c) -5 (d) 11 (e) 116 (f) -0.4
e
Which is the biggest value? (a) -3 (b) 7527 (c) -2/29 (d) -1/40
b
Which is the second biggest value? (a) 731863 (b) 186 (c) 0.5 (d) -2/21
b
Which is the second smallest value? (a) -8 (b) -0.5 (c) 1395443
b
What is the biggest value in 9, 0.31, -2/9, 101, -0.2?
101
Which is the biggest value? (a) -4 (b) 2.8 (c) -3 (d) -1/5 (e) 268 (f) -1
e
What is the third smallest value in 0, 90, -11, 0.2, -1, -23.1?
-1
What is the sixth smallest value in 2/9, -5, 2/7, 0.2, 3, -0.01, 2?
2
Which is the second biggest value? (a) -12168 (b) 3 (c) 0.4 (d) 4 (e) -2
b
What is the second smallest value in 71, -141, -43/42?
-43/42
Which is the second smallest value? (a) 0.1 (b) 5483/9 (c) -553
a
Which is the fifth smallest value? (a) -1/7 (b) 2/715 (c) -6 (d) -0.7 (e) -4/3 (f) 0
f
Which is the fifth biggest value? (a) 1.57258 (b) 0.056 (c) -0.4 (d) 0.3 (e) 5
c
What is the third smallest value in -5, -0.6, -2, -1/3, 2/3, -18.6, -21?
-5
Which is the sixth smallest value? (a) 2/9 (b) -1/54 (c) 0.2 (d) 0 (e) 0.4 (f) 1/646 (g) 1
e
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
is x(j)?
3
Let u(k) = k**2 - 3*k + 1. Suppose m + 4 + 17 = -5*b, b - 15 = -5*m. Determine u(m).
5
Suppose 0*z = -3*z - 5*c - 2, 0 = 2*z - 3*c + 14. Let v be 6/z - 6/(-4). Let r(i) = i**2 + i + 9. Give r(v).
9
Let w(r) be the second derivative of r**3/6 - 2*r**2 - 11*r. Let y = 5 + -5. Determine w(y).
-4
Let p(m) = -3*m**2 + 2*m - 1. Suppose -9*y + 10*y - 2 = 0. Give p(y).
-9
Let s(k) = k**3 - 4*k**2 - 4*k + 2. Let u = 5 + 0. Suppose -15 = -4*f + u. Give s(f).
7
Let k(h) = h. Let v be (-48)/(-22) + (-8)/44. Suppose 0 = -2*a - b + 2, v*b = -5*a + 10 - 4. Let t be 1/2*6 - a. Calculate k(t).
1
Let m be (-6)/(-12)*(1 - 13). Let v(y) = 7*y + 3. Let r(f) = 15*f + 7. Let n(i) = m*r(i) + 13*v(i). What is n(3)?
0
Let i = 13 - 24. Let o be 4/22 - 31/i. Let a(q) = -q**3 - 4*q + 8*q + 2*q**o + 2 + 2*q**2. What is a(-2)?
-6
Let j(q) = -2*q**2 + 2. Suppose -2*d + 1 = -3. Let o = 2 - d. Let z be (o + 2/(-2))*2. Give j(z).
-6
Suppose -2*p + 29 - 13 = 0. Let b(s) = -s**3 + 9*s**2 - 10*s + 5. Determine b(p).
-11
Suppose -3*p + 2 = -4. Let t(k) = -4*k - k + p*k. Give t(-1).
3
Let q(u) = -u**3 + 4*u**2 - 4*u - 1. Suppose -2 = -5*k + 13. Let m be q(k). Let z(v) = -3*v**2 - v**2 - 7*v - v**3 + 4*v - 1 - 3. Give z(m).
8
Let k(m) be the third derivative of m**4/24 - m**3/6 + m**2. Let x(h) = h**2 - 3*h + 2. Let l be x(3). Let w be 1/(2*1/l). Give k(w).
0
Suppose 65 = 3*a + 50. Let y = 3 + -1. Let l(n) = -5 - 4*n**y - 5*n + 3*n**3 + 3*n**3 - 5*n**3. Determine l(a).
-5
Suppose 11*f = 20*f + 45. Let z(y) be the second derivative of -y**5/20 - 5*y**4/12 + 2*y**2 + y. Give z(f).
4
Let c(n) = -5*n. Let h(d) = -4*d + 5. Let p be h(-4). Suppose -4*q - q = -4*k - p, -4*q + 22 = 2*k. Calculate c(k).
-5
Let r be 33/12 - (-1)/4. Let y(z) be the first derivative of -3*z**2/2 - 21. Calculate y(r).
-9
Let l be (-4)/8 - (-2)/4. Suppose 3*p - 18 = 3*s, -2*s - 2*p - 5 - 7 = l. Let t(z) = z**2 + 4*z - 7. Calculate t(s).
5
Let o = 32 + -32. Let v be (0 - 0) + 3*-1. Let p = o - v. Let j(r) = r**3 - 4*r**2 + 4*r + 1. Determine j(p).
4
Let r be -4 + -21*(-2)/6 - 3. Let w(g) be the third derivative of r*g + 0 - 1/120*g**6 - 1/8*g**4 - 2*g**2 - 2/3*g**3 - 1/20*g**5. Give w(-3).
5
Let t(x) = x**3 - 12*x**2 + 11*x - 1. Let p(j) = -j**3 - 4*j**2 + 3*j + 1. Let s be p(-5). Let r be t(s). Let a(b) = 0*b - 1 - b - 3*b**3 - b. Calculate a(r).
4
Suppose 0*o - 13 = -3*p + o, -5*o + 10 = 0. Suppose u = 4*j + 5, 1 + 9 = 5*u - p*j. Let f(x) = -2*x**3 - x**2. What is f(u)?
-3
Suppose 0 = -2*c - c + 9. Let t(u) = u**2 - u**3 + 1 + 2*u**c - 3*u + 6*u - 2*u. Let k(p) = 3*p**2 - 7*p - 2. Let y(m) = k(m) + t(m). Give y(-5).
4
Let n(f) = 9*f - 3. Let o(z) = 10*z - 3. Let p(w) = -6*n(w) + 5*o(w). What is p(3)?
-9
Let r(i) = -3*i**2. Let k be r(-1). Let a be (6 - 3 - 3)/(-2). Let h(j) = -j**2 - 4*j + a*j + 5*j + 4. Give h(k).
-8
Let n(l) = -5*l - 3. Let z be n(-3). Let p be 27/z + (-1)/4. Let y(d) = -2*d**p - 3*d - 2 + 3*d**2 - 3*d. Give y(5).
-7
Let i(h) = 4*h**3 + 4*h**2 + 6*h + 6. Let j(b) = 3*b**3 + 4*b**2 + 5*b + 6. Let v(q) = 2*i(q) - 3*j(q). Let l be ((-8)/6)/((-6)/(-18)). What is v(l)?
6
Let i(s) = s**3 + 7*s**2 + s - 3. Let m(y) = 2*y**3 + 8*y**2 + 2*y - 3. Let w(p) = -3*i(p) + 2*m(p). Let u be 3 + 0 + -2 + 3. What is w(u)?
-9
Let x(n) = n**2 + 6*n + 3. Suppose -3 = 2*i - y + 13, i - 6 = -3*y. Give x(i).
3
Let a(c) be the first derivative of -c**2 + 4*c - 2/3*c**3 - 9. Calculate a(-3).
-8
Let d(n) be the second derivative of n**3/6 + 5*n**2/2 + n. Let a be (-49)/(-2) + (-6)/12. Suppose -4*p - a = -8. Calculate d(p).
1
Let a = 16 + -10. Let q(w) = 3*w + a - 5 - 2*w + 3. Determine q(-3).
1
Let s be (-3 - -2) + 3*-1. Let r = -4 - s. Let g(j) be the third derivative of j**6/120 - j**4/24 - j**3/3 - j**2. Calculate g(r).
-2
Let p(n) be the third derivative of -n**4/24 + 2*n**3/3 + n**2. Suppose -16 = -5*i - 1. Suppose -5*q - 2*w = -28, -7*q + 2*q + 8 = -i*w. Give p(q).
0
Suppose -2*t + x - 13 = -4*x, -3*x + 9 = -t. Let y = 11 - t. Let k(d) be the second derivative of d**5/20 - d**4/3 - 7*d**3/6 + 2*d**2 + 3*d. Calculate k(y).
-6
Let v(r) = -r**3 + 5*r**2 + 6. Let n be v(5). Let s = n + -6. Let p(j) = j + 2. Let l(u) = -3*u - 4. Let y(i) = 2*l(i) + 5*p(i). Give y(s).
2
Let f(g) = -6*g**2 - 2*g**2 - g - 2*g + 6*g**2 - g**3. What is f(-2)?
6
Let v(f) = f**2 - 5*f + 3. Let k be v(5). Let w(j) = 3 + k + 0 - 2*j. Determine w(4).
-2
Let b(x) be the third derivative of -4*x**2 + 5/24*x**4 + 0 + 1/120*x**6 + x**3 + 1/12*x**5 + 0*x. Let d = -7 - -3. What is b(d)?
2
Let x(l) be the third derivative of 0 + 0*l**4 - l**2 + 0*l + 1/60*l**5 + 1/6*l**3. Let c(o) be the first derivative of x(o). Determine c(1).
2
Suppose 7*a + 12 + 2 = 0. Let f(b) = -1 - 2*b + 2*b**3 + b**2 - 2*b - 2. What is f(a)?
-7
Let k(s) = 2*s**2 + 2*s + 8. Let a(f) = -f**2 - f - 4. Let u(l) = -5*a(l) - 2*k(l). Give u(0).
4
Let r be 5 + 4 + -2 + -1. Suppose -2*u + 5*u + r = 0. Let j(h) = -3*h + 1. Let c(d) = -3*d + 2. Let v(l) = 3*c(l) - 4*j(l). Calculate v(u).
-4
Let b(x) = x**2 + 12*x + 2. Let s be b(-12). Let h(y) = 2*y - y - 1 + 2*y - s*y. What is h(-4)?
-5
Let f(p) = -5*p**3 + 5*p**2 - 7. Let w(x) = 9*x**3 - 10*x**2 + 13. Let h(o) = 11*f(o) + 6*w(o). Determine h(-5).
1
Let n(a) = a**2 - a - 1. Let g(l) = -l**3 + 9*l**2 - 3*l - 2. Let o(c) = g(c) - 2*n(c). Determine o(7).
-7
Let f be 0 + 2 + -2 - 1. Let x(u) be the third derivative of 1/6*u**3 - u**2 + 0*u - 1/15*u**5 + 0 + 1/24*u**4. Calculate x(f).
-4
Let t = 13 - 8. Suppose t*a = 11 + 19. Let s(f) = -5*f + f + 1 + 3*f. What is s(a)?
-5
Let y(a) = 6*a**2 - 9*a + 3. Let k(u) = 7*u**2 - 10*u + 4. Let i(n) = -5*k(n) + 6*y(n). Let q be ((-1)/(-2))/((-7)/(-98)). Let w = 12 - q. What is i(w)?
3
Let f(t) be the first derivative of t**2/2 + 9. Suppose -g - 3*d + 11 = 0, -g - 4*d = -9 - 5. Let p be (-2 - -2) + 4/g. What is f(p)?
2
Suppose -3*k + 11 = 2*c, -c - 4*c + 19 = -k. Let d(t) = -k + 4*t**2 - 4*t**2 + t**2. Let s be d(0). Let n(x) = 5*x - 1. Calculate n(s).
-6
Let p(i) = 8*i - 2. Let h(m) be the third derivative of m**4/24 - 2*m**2. Let y(d) = 18*h(d) - 2*p(d). Calculate y(-5).
-6
Let b(k) be the second derivative of k**7/840 - k**6/360 + k**5/120 - k**4/2 - 10*k. Let x(o) be the third derivative of b(o). Calculate x(2).
9
Let u(j) = 4*j + 3. Let o(d) = -8*d - 6. Let p(l) = -6*o(l) - 11*u(l). Let q(n) = -1. Let b(i) = p(i) + 5*q(i). Determine b(2).
6
Let l(q) = 4*q**3 + q. Suppose -u - 6 = 5*u. Calculate l(u).
-5
Let p(b) = 3*b**3 + b**2 + 1. Let k(j) = j - 7. Let z be k(5). Give p(z).
-19
Let a(w) be the second derivative of 1/20*w**5 - 1/2*w**2 - 3*w + 0 - 1/12*w**4 - 1/3*w**3. Calculate a(2).
-1
Let s(v) = 4*v**3 - v - 1. Suppose 4 = -3*g + g. Let j(q) = -2*q**3 - 2*q**2. Let l be j(g). Suppose -5*i = 3*b + l, 5*b = -2*i - 2*i - 9. Give s(b).
-4
Let m(h) be the second derivative of -1/6*h**3 + 1/2*h**2 + 0 - 2*h - 1/6*h**4. Let r(d) = -d**3 - 5*d**2 + 5*d - 5. Let t be r(-6). Determine m(t).
-2
Let p(t) be the first derivative of t**3/3 + 3*t**2 + 4*t - 2. Determine p(-6).
4
Let z(p) = -p**3 - 7*p**2 - 9*p + 4. Let a be z(-5). Let l(o) = -4*o - 1. Determine l(a).
3
Suppose -2*d + 5*n = -23, -d + 3*n + 2 = -12. Let j(a) be the third derivative of 0 + a**2 - 1/12*a**4 + 1/60*a**6 + 0*a - 1/6*a**3 - 1/60*a**5. What is j(d)?
-2
Suppose -3*r - 6 = -q - 2*r, 3*q = 5*r + 18. Let c(j) = 0*j - q + 7 - j. Give c(-1).
2
Let g be (-21)/4 + (7 - (-135)/(-20)). Let f(l) = l**2 + 7*l - 6. What is f(g)?
-16
Let r(s) = -s**2 - 5*s - 1. Let v(t) = -2*t + 7. Let l be v(6). Let z(g) = g**2 + 5*g - 3. Let w be z(l). What is r(w)?
5
Let u(g) = -3*g + 1. Let r = 4 - 6. Calculate u(r).
7
Suppose -v + 10 = 4*a, 10 = 4*a - 3*a + 4*v. Let c(j) = j**2 + j + 2. What is c(a)?
8
Let r(d) = -d**3 + 2*d - 1. Suppose -4 + 3 = g. Let q be g/(-2)*0 + 1. Determine r(q).
0
Suppose -4 + 2 = n, p + n - 2 = 0. Suppose m - 10 = -p*m. Let o(z) = z**3 - 3 - 2*z**2 - 5*z**2 + z**m + 5*z. Calculate o(5).
-3
Let t(r) be the second derivative of r**4/12 + 4*r**3/3 + 7*r**2/2 + 14*r. What is t(-6)?
-5
Suppose -62 = 2*k - 68. Let x(y) be the first derivative of 3*y**2/2 - 4*y - 2. Calculate x(k).
5
Let q(c) = -5*c**2 + c + 0 + 1 + c**3 - 1 - 1. Let j be q(5). Let d be ((-3 - -1) + j)/1. Let a(i) = -i**2 - 4*i + 3. What is a(d)?
-9
Let j be
|
{
"pile_set_name": "DM Mathematics"
}
|
when g is divided by b.
2
Suppose 0 = 2*g - 4 - 30. Let b = 89 - 57. What is the remainder when b is divided by g?
15
Suppose -13*x = -10*x - 51. What is the remainder when x is divided by 8?
1
Suppose 49 = 3*s + 1. What is the remainder when 126 is divided by s?
14
Let l be 2 + 376/((-16)/(-4)). Suppose -3*c + 3*t + l = 0, 89 = 3*c - 3*t + 7*t. Calculate the remainder when c is divided by 17.
14
Let r(o) = -o**2 - 18*o - 4. Calculate the remainder when r(-15) is divided by -1 + (2 - 4) + 14.
8
Suppose 37 = -d + 5*j, -3*d + 0*d = 3*j + 21. Let c = -1 - d. Calculate the remainder when 30 is divided by c.
8
Let h = 4 + 14. Suppose -2 = 2*y - 3*y. Suppose -y*q + 4*q = h. Calculate the remainder when q is divided by 5.
4
Let q(o) = -o**3 + 6*o**2 + 6*o + 3. Let r be q(7). Calculate the remainder when 22 is divided by (r/3)/(5/(-30)).
6
What is the remainder when 26 is divided by (-4 + 4 + 5)*3?
11
Let q(c) = -c**3 - 4*c**2 - 2*c + 4. Calculate the remainder when 167 is divided by q(-4).
11
Let z(s) = s + 1. Let c be z(-2). Let k = c - -1. What is the remainder when 19 + (k/2 - -2) is divided by 11?
10
Suppose -2*k - 1 = -7. Calculate the remainder when 3 is divided by k.
0
Let o = -1 + -2. Let w = -3 - o. Suppose w*a + 4 = 2*a. Calculate the remainder when a is divided by 2.
0
Let x(m) = -27*m - 4. Let r(y) = 13*y + 2. Let k(s) = 9*r(s) + 4*x(s). Calculate the remainder when k(5) is divided by 12.
11
Suppose 3*x - 2*q - 2 = 0, q = -3*x - x - 12. Calculate the remainder when (35/x)/(3/(-6)) is divided by 12.
11
Suppose 0*q + 3*z = -5*q - 18, 2*q = -z - 7. Let u = q - -5. Let a(d) = 3*d**2 - 3*d + 2. Calculate the remainder when a(u) is divided by 5.
3
Suppose 4 + 2 = 3*s. Suppose s*f = -0*a + 4*a - 10, -4*a = f - 1. What is the remainder when 2 is divided by a?
0
Let k = 2 - -1. Suppose 0 = k*t - y - 1, -2*y - 4 + 3 = -5*t. What is the remainder when ((-4)/6 - 3/(-18))*-2 is divided by t?
0
Suppose 19 = 5*d - 6. Let r(j) = j - 2 - 5*j - 4 + 2. Calculate the remainder when r(-3) is divided by d.
3
Let n(w) be the third derivative of w**4/24 + 2*w**3/3 + 4*w**2. Let y be n(-2). Suppose y*z + 0*z = 52. Calculate the remainder when z is divided by 9.
8
Let x = 30 - 51. Calculate the remainder when 36 is divided by (-14)/x*114/4.
17
Let a = -9 + 10. Calculate the remainder when (-1)/(-2)*(3 + 1) is divided by a.
0
Let c = -70 + 109. Calculate the remainder when 193 is divided by c.
37
Suppose -3*f = 4*j - 74, 0*j + 3*f = -5*j + 91. Calculate the remainder when 115 is divided by j.
13
Suppose 9*u - 48 = 5*u. What is the remainder when 46 is divided by u?
10
Let m = -4 + 13. Let d(b) = b**2 - 7*b - 6. Calculate the remainder when d(m) is divided by 7.
5
Let b(g) = 2*g**3 - 2*g**2 - 4*g + 9. What is the remainder when b(3) is divided by 21?
12
Suppose 6*m = 2*m + 2*x - 66, -2*m - 48 = 2*x. Let w = 4 - m. What is the remainder when w is divided by 12?
11
Let p(m) = -11*m + 1. Let d(c) = c**2 + 7*c - 6. Let i be d(-7). Calculate the remainder when p(i) is divided by 23.
21
What is the remainder when 127 is divided by (-1890)/(-72) - (-2)/(-8)?
23
Let a be 2/2 + (0 - 24). Let y be (-3 - -2) + (0 - 14). Let u = y - a. What is the remainder when u is divided by 5?
3
Suppose 2*q - 126 = -q. Let g = q - 30. What is the remainder when 23 is divided by g?
11
Let p = -20 - -33. What is the remainder when 36 is divided by p?
10
Suppose 4*t = f + 9, -3*t - 3*f = -8*f + 6. Let l = t - 3. Suppose -8*b + 4*b + 20 = l. What is the remainder when 13 is divided by b?
3
Let i = -18 - -36. Calculate the remainder when 35 is divided by i.
17
Calculate the remainder when (15/(45/(-102)))/((-3)/9) is divided by (-2)/((-4)/70) + 0.
32
Suppose 6*h - h = 60. Suppose -5*i + 99 + 101 = 0. Calculate the remainder when 1865/i + 3/8 is divided by h.
11
Suppose -v - 3*v = -144. Suppose 2*q = -2*q + v. Suppose 0*z - u + 39 = 2*z, -5*z = u - 90. What is the remainder when z is divided by q?
8
Suppose 0 = s - 8 + 4. Let g = 60 + -34. Suppose -s*w = -x + g, x + 0*x - w - 11 = 0. Calculate the remainder when 10 is divided by x.
4
Suppose 4*q - 22 = 2*q + 4*v, 5*q = 5*v + 35. Let p(x) = x**3 - 2*x**2 + x + 1. Calculate the remainder when p(q) is divided by 5.
3
What is the remainder when ((-2)/3)/(6/(-9)) is divided by 1?
0
Suppose -7*g + 24 = -4*g. Let j = g + 8. Calculate the remainder when 29 is divided by j.
13
Let m(c) = -5*c - 4. Let h(w) = 2*w**2 - 3*w - 14. What is the remainder when h(-6) is divided by m(-6)?
24
Let c(x) = x**3 + 5*x**2 - x - 1. Let o be ((-4)/(-2) - 1) + -6. What is the remainder when 13 is divided by c(o)?
1
Let i = -23 - -55. Calculate the remainder when ((-682)/(-33))/((-1)/(-3)) is divided by i.
30
What is the remainder when 36/60 + (-212)/(-5) is divided by 16?
11
Let k(c) = -3*c + 1. Let i(u) = -2*u - 1. Let p be i(-1). Let z(r) = 21*r**2 - 1. Calculate the remainder when z(p) is divided by k(-2).
6
Let n(d) = -d**3 + 4*d**2 + 7*d + 1. Let g = 22 + -16. What is the remainder when n(5) is divided by g?
5
Let j(w) = w**3 + 7*w**2 + 4*w - 1. Calculate the remainder when j(-6) is divided by 6.
5
Let t(n) = n**2 - 4*n - 7. Calculate the remainder when t(-4) is divided by 13.
12
Let n(k) = -k - 7. Let f be n(-7). Suppose f = c - 3*t - 41, -5*c + t = 6*t - 105. Calculate the remainder when c is divided by 9.
8
Suppose 3*y + 3 = 4*y. What is the remainder when 46 is divided by ((-18)/7)/(y/(-28))?
22
Suppose 5*c - 20 = -5*z, 0 + 5 = -5*z. Calculate the remainder when 14 is divided by 0*(-2)/6 + c.
4
Let z = 7 - 7. Suppose -4*w + 34 = -2*b, -14 = -z*w - 2*w + 4*b. What is the remainder when 16 is divided by w?
7
Suppose 0 = 3*j - 3*b + 24 + 27, -b + 59 = -4*j. Let m = j + 34. Calculate the remainder when m is divided by 1 + 1/(2/20).
9
Let l(b) = 4*b**2 - 2*b + 2. Calculate the remainder when l(3) is divided by 11.
10
Let z = 7 - 5. Suppose a + 16 - 1 = 0. Calculate the remainder when z is divided by (-4)/(-14) + a/(-21).
0
Let z(s) = s**2 - 31*s + 39. Calculate the remainder when 17 is divided by z(30).
8
Calculate the remainder when 18 is divided by ((-15)/(-2))/(6/8).
8
Suppose 2*v = -y - v - 17, -4*y - 13 = v. Calculate the remainder when 12 is divided by (-3 - -4)/(y/(-14)).
5
Let d be ((-20)/(-8))/(-5)*-44. Suppose t + d = 3*t. Calculate the remainder when t is divided by 7.
4
Suppose m + 3*t + 8 = 0, 60 = m + 4*m - 5*t. Calculate the remainder when 26 is divided by m.
5
Let r = 46 + -4. Suppose -y + 3*y - 4*b = 30, 3*b + 17 = y. Calculate the remainder when r is divided by y.
9
Suppose 0 = -3*f - 155 + 1475. Calculate the remainder when 39 is divided by f/30 - (-4)/(-6).
11
Suppose -5*m - 3*l + 124 = l, 3*l = -12. What is the remainder when m is divided by 16?
12
Let b be (24/30)/(2/20). Let i be 34/b - (-2)/(-8). Suppose -i*c + 20 = -2*c. What is the remainder when c is divided by 4?
2
Let s(x) = -3*x**2 + x - 1. Let l(p) = p**2 - p + 1. Suppose -2*v + 2 = -3*v. Let i(t) = v*s(t) - 5*l(t). Calculate the remainder when i(-4) is divided by 1.
0
Let l(w) = -w - 6. Let d(v) = -6*v - 31. Let o(s) = -2*d(s) + 11*l(s). Let u(z) = 3*z + 1. Let p be u(3). Calculate the remainder when 11 is divided by o(p).
5
Let v(u) = 2*u**2 + 6*u - 4. Let w be -5 + 1 - (0 + 2). Suppose 33 = 5*q - 22. What is the remainder when v(w) is divided by q?
10
Let a(k) = 4*k**2 + k - 4. Calculate the remainder when a(-3) is divided by 5.
4
Let n(v) = -2*v + 3. Let r be n(4). Suppose 3*i - 3*d + d = 136, 92 = 2*i - d. Let g = i - r. Calculate the remainder when g is divided by 14.
11
Suppose 5*y = -5*k + 70, 5*k + 17 = -3*y + 89. What is the remainder when 27 is divided by k?
12
Suppose -4*w + 2 = -3*w. Let g be -1 + w + 6 + -2. Suppose 0 = -5*o + g*l - 3 + 33, -3*l = 2*o - 12. Calculate the remainder when o is divided by 4.
2
Let c = -162 - -245. Let k = -33 + c. What is the remainder when k is divided by 18?
14
Let t = 126 + -52. Let d = 39 + -24. Suppose 0 = 4*f + 5*g - t + d, 65 = 4*f - g. Calculate the remainder when 46 is divided by f.
14
Suppose 0*o = 5*o - 30. Let l be ((-7)/3)/(1/o). Let u = -1 - l. What is the remainder when 24 is divided by u?
11
Suppose -12*f + 509 + 319 = 0. What is the remainder when f is divided by 35?
34
Calculate the remainder when (-26)/(-91) - 313/(-7) i
|
{
"pile_set_name": "DM Mathematics"
}
|
-34 - -39. Solve d + 13 = -f - 3*s, f = 2*s + 7 for f.
-3
Let n be (-4)/6 + 6/9. Suppose 8 = w - 2*k, -2*w - 2*k + 10 = -4*k. Solve w*x + 2 = h + x, n = 5*x + 10 for h.
0
Suppose 0*a = a + 2. Let x be (1 + -1)/((-2)/a). Let h = 70 - 64. Solve -5*c - u - 26 = x, h*u = -4*c + 2*u - 24 for c.
-5
Let z be 28/(-10) - 1/5. Let i = z + 0. Let j be 4 + (-2)/i*-3. Solve 5*g + d - 22 = 0, 4*g + j*d = -0*g + 14 for g.
5
Let o be 450/(-55) + (-4)/(-22). Let w be (4/(-14))/(o/56). Solve -n - 14 = -w*j, -j + 2*n - 2 = -3*j for j.
5
Let x be 297/55 - 4/10. Solve -5*g = z, -6*g - 2*z - x = -g for g.
1
Let b be 1/(-3) - (-4)/12. Suppose b = -c + 2*c - 1. Solve 0 = x + 5*f + 15, 3*x + c + 4 = -5*f for x.
5
Suppose 6 = -3*a + 2*a - 2*q, -2*a = -5*q - 33. Solve 0 = -3*n - 2*n - a*i + 22, -4*n = 5*i - 23 for n.
2
Let l = -82 + 83. Suppose 2*a + 0*a - 5*j = 47, 0 = a + 3*j + 4. Solve 0 = -3*i + 2*g + a, 4*g - l = -i + 2*g for i.
3
Suppose -4 = d + 3*l, -12 = -2*d + 5*d + l. Let t = -6 - d. Let b be 30/(-25)*5/t. Solve -b*n + 2 - 1 = -4*z, -2*z = -2*n + 2 for n.
3
Let c = -1 - 0. Let x be (0*(-2)/(-6))/c. Let i be (42/(-9) - x)*-3. Solve -4*h + y + i = 0, -4*y - 8 = 2*h - 6*h for h.
4
Let p(d) = -5*d + 60. Let h be p(11). Solve -h = 5*y, 2*g + 3 + 2 = -3*y for g.
-1
Let b be (16/(-12))/(6/(-9)). Solve 0 = -3*u - f - 8, 2*u + 5*f + 7 = -b*u for u.
-3
Suppose -g = -2*g. Solve -x + 4*m - 17 = g, 3*m - 7 = -5*x - 0 for x.
-1
Suppose -5*f - 38 = -58. Solve 5*m = m - f, 0 = -4*a - 5*m - 13 for a.
-2
Let s be 1/(((-3)/(-15))/1). Solve -3*i + 22 = 2*j, j = -0*j + s for i.
4
Let u = 17 - 12. Suppose 0 = m + i - 5, -3*m - u*i = -3*i - 14. Solve -2*t - 23 = 5*f, -m*f - f = t + 24 for f.
-5
Let n(x) = -2*x**2 + 4*x - 2. Let y be n(2). Let d = -4 - y. Let q = 2 - d. Solve -q*o + v + 7 = o, 0 = 5*o - 2*v - 9 for o.
1
Let w be 26/4*(0 + 2). Let f(k) = 3*k**2 + 7*k - 3. Let i be f(4). Suppose -w + i = 4*v. Solve 5*d = 0, 2*d - d = 3*j - v for j.
5
Let q(n) = -n**3 + 2*n**2 + 3*n - 3. Let h = 0 - -2. Let b be q(h). Solve 5 = 6*l - l + b*j, 2*j + 26 = 4*l for l.
4
Let m(n) = n**2 + 3*n. Let a(j) = -2*j**2 - j + 2. Let r be a(-2). Let z be m(r). Solve 0 = -4*g - g - 2*c + 14, -z*g + 2*c = -22 for g.
4
Suppose -3*j = -9, -2*a - 4*j + 5*j = -45. Let z = a + -12. Solve 0 = -4*o + 4*l - 0 - z, -5*l = -2*o for o.
-5
Let a = 6 + -2. Suppose -5*c + p = 1, a*c + 2*p = 6*p - 4. Let g be ((-4 - -2) + c)*-2. Solve g*n - 3*w + 10 = -w, -5*n + 5 = w for n.
0
Let v be (-2)/((4/(-40))/((-3)/(-12))). Solve -5*d + v = -0*z - 3*z, 0 = -2*d - 4*z + 2 for d.
1
Let o be -2 + ((-16)/(-12))/(4/30). Solve x - 5*f = -10, -o = -3*x + x - 4*f for x.
0
Let w = 88 + -77. Solve -b - 5*h + 11 = -w, 4*b - 24 = -4*h for b.
2
Let j(f) = -f + 6. Let u be j(6). Suppose 3*l - 6 - 6 = u. Solve k + 1 = 5*z, -k + 0*k - 1 = -l*z for z.
0
Suppose -4*n - 8 = -5*t - 2*n, 3*t = 5*n + 20. Solve 0 = -3*w - 2*g - 0*g, t = -w - 4*g - 10 for w.
2
Let f = 16 - 10. Solve 2 = d + d, -2*d - f = -2*z for z.
4
Let a(x) = 6*x - 30. Let t be a(9). Solve -2*f = f + 15, 0 = 2*c - 4*f - t for c.
2
Let x(g) = 3*g + 83. Let n be x(-27). Solve -12 = -4*o - c, n - 24 = -5*o - 3*c for o.
2
Let k = 20 + -15. Solve -3*o = k*x - 2*o + 4, -x - 3*o = 12 for x.
0
Let h = -12 - -7. Let t(a) = a**2 + 4*a - 1. Let m be t(h). Suppose -y - 2 = -m. Solve -5*x = -5*l + 15, -3*x - l = y + 7 for x.
-3
Let p(j) = j**2 - 3*j - 13. Let k be p(6). Solve -12 = -k*d - 4*f, 0 = -9*f + 4*f - 10 for d.
4
Let p(a) = 2*a - 3. Let q = 9 + -5. Let t be p(q). Solve -4*r = t*f + 5, 5*f + 9 + 1 = -3*r for f.
-5
Suppose y - 5*c - 15 = 0, 3*y = 2*y - c + 27. Let r = y - 18. Solve 2*t + i = -2, r*t - 3*t + 4*i = -12 for t.
1
Let g(w) = 7*w - 2. Let c be g(1). Solve -3*b + 2*b - 2 = 0, -3*b - 1 = c*z for z.
1
Let f be 36/10 + 2/5. Let u(v) = -4*v**3 - 8*v**2 - 5*v - 4. Let k be u(-2). Solve h = f*i - 7, -3*i + 13 = 2*h - k for h.
5
Suppose 4*i + 16 = 3*b + 2*i, -2*b + 5*i + 29 = 0. Suppose -g = -m + 2*g + 17, -3*m + 62 = b*g. Solve 0 = 4*l - 5*x + 16 + 4, -5*x - m = 4*l for l.
-5
Let a be (-39)/(-6) - 7/(-14). Solve -5*q + 16 = -3*s, 0*s + s - 2*q + a = 0 for s.
3
Let p be (-3)/2*(-2)/(-1). Let t be (-2)/2 + p/(-3). Let l be (t - 0) + -1 + 5. Solve r + l*r + 3*w = 17, -9 = 3*r - 3*w for r.
1
Let w = 2 - 0. Solve -f = 5*m - 28, m - w = f - 0*f for f.
3
Let j = 8 - 5. Suppose 0 = 3*u - v - 53, -u + 59 = j*u + v. Solve 4*d - 2 - 2 = -4*l, -5*l + 2*d = u for l.
-2
Let o = -68 - -80. Solve 4*n = 2*v - o, -3*n + 0 = 2*v + 2 for v.
2
Suppose -6 = -2*v - 0. Solve -v*x - 2 = -4*t - 3, 0 = 2*x + 5*t - 16 for x.
3
Suppose 3*q + 3 = -3*d + 30, 0 = -2*d - q + 15. Suppose -d*u + 3*u = -6. Solve -3*n - 10 = 2*h, -u*n + 4*h = h - 2 for n.
-2
Suppose 0 = -4*x + 7 - 3, 5*s - 21 = -x. Solve 0 = -s*h + 6*h - 8, -22 = 5*a - 3*h for a.
-2
Let l(c) = -6*c + 3. Let m be l(2). Let w be (-6)/9*m/3. Solve 4*n = 2*y + 2, 5 = 2*y + w*y - 5*n for y.
5
Suppose 2*i + 4*r + 24 = 0, 2*i = -r - 6 - 6. Let f be i/(-32) - (-23)/8. Solve -4*w + 12 = 5*x, f*x - 5*w + 15 = 7*x for x.
0
Let s(u) = -u**2 + 2*u. Let j be s(2). Suppose -t + 1 = -j*t. Suppose -2*g = 4*v, 0 = -g + 5*v + 5 + 9. Solve -p + 4*i - 2 = t, -g*i - 6 = 2*p for p.
-3
Suppose 0 = 5*x + 4*f - 2*f + 8, 4*x = -3*f - 5. Let j(i) = i**2 + 1. Let n be j(x). Solve -n*t - 32 = 4*w, -2*w - t = -3*t - 2 for w.
-3
Let d(s) be the second derivative of -s**5/20 - s**4/6 + s**3 + 3*s**2 + 4*s. Let h be d(-4). Solve -6*a = -2*z - 3*a - 5, -2*a + h = 4*z for z.
2
Let j be (6 - 13)*(-8)/14. Solve 3*k + 9 = z, -z + 10 = -j*k - 2 for z.
0
Suppose 2*m + 4*g - 31 = -11, 0 = 2*g - 6. Suppose -5*q + 30 = -b + 6*b, b - q = -2. Solve -m*a + 16 = 5*d - b*a, 0 = 2*d + 2*a - 4 for d.
4
Suppose -4*f - 3*i = -42, -5*i - 11 - 24 = -5*f. Let u be ((-54)/4)/(f/(-12)). Solve 5*v + 0*q = q + u, -4*v - 3 = 5*q for v.
3
Suppose -2*p + 0*p = 0. Let r be 5 - 2 - (0 - p). Solve 0 = -8*m + r*m + u - 1, -2*m - 5*u = 22 for m.
-1
Suppose -10 = 9*q - 14*q. Solve 4*d = -n - 12, 0*d + q*d + 6 = 3*n for d.
-3
Let t = -43 - -46. Solve 0 = -t*r - 4*d - 12, 4*r = 2*d - 16 - 0 for r.
-4
Suppose 10 = -2*g - 3*g. Let i be (-1 - (g - -2))*-12. Solve 2*t + h + i = 0, -4*h = 5*t + 25 + 8 for t.
-5
Let r be 6*(-2)/(-4 + 0). Solve -3 = -3*k - r*b, 4 = 3*k - b + 1 for k.
1
Let u(p) = 4*p**2 + 2*p - 1. Let l be u(1). Solve 2*y - l*r = 26, 5*y - 5*r = -0*y + 35 for y.
3
Suppose 0 = -z - 3*z. Suppose 5*t = -3*m + 8, -2*m = -3*t - 2*t - 22. Let f be 78/21 - m/(-21). Solve z = -k + f*n + 16, -2*n = -2*k + 6 + 2 for k.
0
Let l = -3 + 8. Let t be 46/l + (-3)/15. Solve 3*j - 1 = 5*s - 10, -2*s = 3*j + t for j.
-3
Let n(o) = -o**2 - 2*o + 4. Let d be n(-3). Let m be 6/5 - 4/20. Let i = m - -1. Solve -5*b + 4 = -d, -i*r + 6 = 4*b for r.
1
Let j = -7 - 14. Let f be 76/14 + 9/j. Solve -15 = -3*s - 4*p, 5*s - 19 = s - f*p for s.
1
Suppose l - 2*l - 43 = 3*j, 14 = -2*j + 3*l. Let o = j + 15. Suppose 4*g - 17 = -y, -4*g + 2*g + 4 = 2*y. Solve -g*m + o*v + 21 = 0, v = -2*m + 5 + 7 for m.
5
Let q(p) = -p**3 + 5*p**2 + 16*p - 9. Let j be q(7). Solve j*c = -n + 1, 0 = -c + 2*c + 5*n - 5 for c.
0
Let m(h) = -4*h + 2*h + 1 + 2*h**2 + 5*h. Let l be m(-2). Solve 0 = -l*c + 6*c + 2*z - 3, -c + 2*z = -1 for c.
1
Let d be 9*((-2)/(-6))/1. Suppose -6*h + 4 = -4*h. Suppose 3*n - 6*c = -d*c + 9, 0 = h*c + 6. Solve -4*b + 5*v = -15, -2*b - 5*v = -n*v - 15 for b.
5
Let u be (-1 - (-8 + 0 - -2))*1. Let f be ((-8)/(-6))/((-6)/(-9)). Let t be (2/f)/(1/1). Solve -4*z + 7 + t = 3*b, 0 = z - u for b.
-4
Let j = -30 - -37. Solve 2*k = -u - 6, 5*u - k - 7 = j for u.
2
Let c = 1 - 2. Suppose 0 = 5*x - a - 11, -3*a = -x - 5*a. Let v = x - c. Solve -3*l + v = 5*h - 0, -5*h = -4*l - 31 for l.
-4
Let h(b) = b**3 - 3*b**2. Let v be h(3). Let q be 4/8 - 9/(-6). Suppose -d - q = -7. Solve 2*i = v, d*i = -4*y - 14 + 2 for y.
-3
Suppose 3*n - 4*n = 3*n. Let g = -10 - -15. Solve 4*x + g*f - 6*f = 17, n = 2*x + 4*f - 4 for x.
4
Let d(k) = -k**3 - 5*k**2 + 7*k - 5. Let l be d(-7). Suppose -a = -2*a + 2*i - 2, l = 3*a + 4*i. Solve -2*f + 3*r - 16 = 0, 2*r - 24 = -4*f + a*f for f.
-5
Suppose -3 = -2*x + 1. Let s = x + 2. Solve j + s*j - 7 = -4*o, -4*o = -3*j - 15 for j.
-1
Let j be (2 + -30)*(2 + (-25)/10). Solve 0 = -2*t + 3*w - 2 - 5, 0 = -t + 5*w - j for t.
|
{
"pile_set_name": "DM Mathematics"
}
|
?
3
Let j = -3716 - -6283. What is the tens digit of j?
6
Let p be -88 + (3 + -4)/(-1). Let h = p + 122. What is the units digit of h?
5
Suppose -1417 = -5*y - 422. Suppose 5*j = -3*w + 217, -3*w + 4*j + 0*j = -y. What is the tens digit of w?
6
Let d(q) = 127*q**2 + 5*q - 16. What is the tens digit of d(2)?
0
Let d(n) be the third derivative of n**4/24 + n**3/2 - 12*n**2. Let y be d(-2). Suppose -2*t - 7 = -y, -2*t = 4*g - 6. What is the units digit of g?
3
Suppose -5*g = -3*m - 415, m = -g - 0*g + 75. Suppose -6*s = -g + 26. What is the units digit of (-6)/s*(0 - 36)?
4
Let p = -897 + 938. What is the units digit of p?
1
Let a(w) = -w**2 + 36*w - 72. What is the hundreds digit of a(14)?
2
Let p be ((-1)/2)/((-2)/12). Suppose p*v + 2*v - 10 = 0. Suppose -v*u = 3*m - 53 + 2, -4*m - 31 = -u. What is the units digit of u?
7
What is the units digit of (-837)/36*(-1 + (-9)/3)?
3
Let j be 1/(3 + (-26)/8). Let f be 1/j*56/(-7). Suppose 5*s - 4*s - f*i = 9, 3*i = -3*s + 18. What is the units digit of s?
7
Let h(n) = 153*n + 2476. What is the thousands digit of h(0)?
2
Suppose -w = 3*z - 1468, 2*z - 3*w - 1454 + 490 = 0. What is the hundreds digit of z?
4
Let t = 32 + -36. Let x(n) = -10*n. What is the tens digit of x(t)?
4
Suppose 25 + 3 = 2*a. Suppose -2*z - 17 = -1. Let d = a + z. What is the units digit of d?
6
Let c(x) be the third derivative of x**6/240 + x**5/40 - 3*x**4/8 - x**2. Let r(o) be the second derivative of c(o). What is the units digit of r(11)?
6
Let q(j) be the second derivative of j**5/20 - 5*j**4/6 + j**3/2 + j**2 + 4*j. Suppose h - u + 2 = 11, 0 = -h + 5*u + 5. What is the tens digit of q(h)?
3
Let j be -4 - (-4 + (-30)/(-5)). Let p(u) = -5*u - 14. What is the tens digit of p(j)?
1
Suppose -10*y + 7080 = -4910. What is the thousands digit of y?
1
Let b(j) = -j**2 + 11*j + 6. Let g be b(8). Let s = g + -16. Let r = 41 - s. What is the units digit of r?
7
Let z(d) = 3*d**2 + 3*d - 24. Let p(f) = -f**2 + 7*f + 35. Let q be p(10). What is the units digit of z(q)?
6
Let k(o) = -37*o**3 - o**2 + o + 6. What is the tens digit of k(-2)?
9
Let b = 361 - -1. What is the tens digit of b?
6
Suppose 0*l - 13*l = -2847. Let x = 367 - l. What is the units digit of x?
8
Let m be (11 + -23)/(-2 + 0). Let f be (8/m)/((-4)/(-15)). Suppose 0 = -f*i - 82 + 257. What is the units digit of i?
5
Let j(b) = -b - 16. Let r be j(0). Let x = r - -46. What is the units digit of 708/x + (-2)/(-5)?
4
Suppose -a + 2*c + 14 = 4*a, 4 = -2*c. Suppose -1 = -a*q + 11. What is the units digit of 2/4*q + 4?
7
Let w be 8440/64 - 2/(-16). Suppose 8*h - w = 6*h. What is the tens digit of h?
6
Let w be (-543)/(-4) + 24/96. Suppose 38*p - 40*p + w = 0. What is the tens digit of p?
6
Suppose -5*z = -z - 8. Suppose z*m = m + 29. What is the tens digit of m?
2
Let k(s) = s**3 + 4*s**2 + s - 4. Let n be k(-4). Let t be n/36 - (-2450)/9. What is the units digit of t/24*1*3?
4
Let h be 12*2/4*2. Suppose 3*w - h = -w. Let c(q) = 2*q**2 + q - 2. What is the tens digit of c(w)?
1
Suppose 3*n + 3*t + 264 = -t, -t + 81 = -n. Let g = -40 - n. What is the units digit of g?
4
Suppose -14*g - 874 = -15*g. What is the units digit of g?
4
What is the hundreds digit of 1*3308 - (-85 - -75)?
3
Suppose -184 = -4*d + 92. Let s = 99 - d. What is the tens digit of s?
3
Let s = 7 - 2. Suppose -5*p = 4*j - 271 - 552, -349 = -2*p + s*j. Suppose 0 = -4*w + 21 + p. What is the tens digit of w?
4
Let u be -26 + (2 - 2)/(-4 + 6). What is the tens digit of (-2)/(u/327) + (-12)/78?
2
Let m(h) = 4*h**2 - h - 2 - 5*h**2 + 4*h**2. Let c be m(-4). Suppose -c = -j + 16. What is the tens digit of j?
6
Suppose z = y + 151 + 284, -y + 445 = z. What is the units digit of z?
0
Let y = 5 - 5. Let v be (-4 - -2)*-1 - y. Suppose -a - 22 = 2*q - 85, -v*q + 81 = -5*a. What is the units digit of q?
3
What is the tens digit of 522/957 + 6330/11?
7
Let a(u) = -14 + 12*u**2 - 122*u**3 + 236*u**3 - 12*u - 115*u**3. What is the tens digit of a(7)?
4
Let o(x) = -6*x**3 + 4*x**2 + 4*x - 25. Let b(v) = 5*v**3 - 4*v**2 - 4*v + 25. Let l(s) = 5*b(s) + 4*o(s). What is the hundreds digit of l(8)?
2
What is the tens digit of 3/2*63046/87?
8
What is the hundreds digit of (10045/861)/(0 + 1/12)?
1
Suppose -11*h - 5*p = -15*h + 7611, 0 = -3*h - 2*p + 5714. What is the hundreds digit of h?
9
What is the tens digit of (12/15)/(2/(-5)) - -126?
2
Let u(a) = -a**3 - 6*a**2 + a + 8. Let r be u(-6). Suppose 4*h = h - r*t + 60, -t = 2*h - 39. Let n = 20 - h. What is the units digit of n?
2
Let x be 0 + (-2 - -18)/4. Suppose x*d = 4*q - 8*q + 304, -3*d - 388 = -5*q. What is the tens digit of q?
7
Let t(h) = h - 8. Let o be t(13). Suppose o*l - 173 = n, -68 = -2*l - 0*l + n. What is the units digit of l?
5
Let u(c) = 4*c - 1. Let s be u(1). Suppose d - s*d = -82. What is the units digit of d?
1
Suppose 8*d - 3*d - 10 = 0. Suppose 9 = d*h - 3*h. What is the tens digit of (-182)/h + 4/(-18)?
2
What is the tens digit of 67/((-24)/(-6)*(-1)/(-4))?
6
Let a(f) = f**2 - 9*f - 14. What is the units digit of a(-5)?
6
Let g(h) = 3*h**2 + 4*h + 1. Let l be g(3). Let b be l/10 + 2*-1. Suppose 3*u + 4*s = 117, 5*u + b*s - 181 = -0*u. What is the tens digit of u?
3
Suppose -31 + 25 = 3*w. What is the tens digit of w*((-4)/1)/(-4)*-82?
6
Suppose -1638 = -3*u + 9*k - 12*k, 2*u + 5*k - 1077 = 0. What is the tens digit of u?
5
What is the tens digit of 16/80 - 2958/(-10)?
9
Let q(u) = -u**3 + 4*u**2 + 10*u + 2. What is the units digit of q(-8)?
0
Let b = 30 + -25. What is the tens digit of (146/b - 2)*5?
3
Let d = -188 + 191. Suppose -2*g - 14 = -4*g. Suppose g*c - 252 = d*c. What is the tens digit of c?
6
Let c be -1 + (5/7 - (-18)/63). Suppose c*l + 4*l = 416. What is the tens digit of l?
0
Let f(b) = b**3 + 5*b**2 - b. Let o be f(-5). Suppose 3 = -o*v + 13. Suppose -v*j + 5*g + 28 = -3, -j = -2*g - 15. What is the units digit of j?
3
Suppose -286*j + 288*j = 2852. What is the tens digit of j?
2
Let c(v) = v**3 - 12*v**2 - 14*v + 15. Let x be c(13). Suppose 3*a = a + x. Let l = 2 + a. What is the units digit of l?
3
Let x(q) = -9*q**3 - 2*q**2 + 9*q + 14. What is the units digit of x(-5)?
4
Let k be (-4730)/(-15) - (-3)/(-9). Suppose -k - 205 = 5*c. Let p = -60 - c. What is the units digit of p?
4
Suppose 0 = -3*k + 12, -4*k - 3874 = -4*z + 2*z. What is the tens digit of z?
4
Let q = -1380 + 2670. Suppose 3*h - q = -5*u + 2*h, 1032 = 4*u + 4*h. What is the tens digit of u?
5
Suppose 9492 + 27548 = 20*k. What is the tens digit of k?
5
Let l(n) = -n - 1. Let x be l(-5). Let o(p) = 27*p - 30. What is the units digit of o(x)?
8
Let b be (-3 + 4/(-12))*-3. Suppose k - 3 = 2*j + 1, 5*j - b = 0. What is the units digit of k?
8
Let x(u) = u**2 + 2*u - 7. Let m be 52/14 + (-12)/(-42). Let p be x(m). Suppose z - 9 = p. What is the tens digit of z?
2
Suppose 4*y + 2*a - 2685 = y, 0 = -2*y + 4*a + 1806. Suppose -10*c = 107 - y. What is the tens digit of c?
7
Suppose 6*t = -6*t + 5568. What is the hundreds digit of t?
4
Let v(t) = t**3 - 5*t**2 + 3*t + 3. Let q(z) = -z**2 + 7*z + 7. Let y be q(8). Let b(w) = w. Let j(n) = y*v(n) + 4*b(n). What is the tens digit of j(4)?
1
Let m(o) = 22*o**2 + o + 12. What is the hundreds digit of m(3)?
2
Suppose -31 = 2*n + 31. Let f = n - -58. What is the units digit of f?
7
Let l(k) = k**3 + k**2 - k - 124. Let j be l(0). Let n = j + 186. What is the units digit of n?
2
Let z(s) = -s**3 - 6*s**2 - 7*s - 1. Let d(y) = -y**3 + 5*y**2 - 2*y + 5. Let n be d(5). Let w be z(n). What is the tens digit of 4/12 - (-114)/w?
1
Let z be 18/3 - (0 - -1). Suppose z*f = 63 + 167. What is the tens digit of f?
4
Let i(z) = 4*z - 8. Let j be i(3). Suppose 6 + j = 5*d. Let m(r) = r. What is the units digit of m(d)?
2
Suppose -4*q - 19 = -s, -5*q + 5*s - 17 = 3. What is the units digit of q/(4/(-2*10))?
5
Suppose -4289 + 1157 = -4*r. What is the hundreds digit of r?
7
Suppose -9*o + 14820 = -5*o + 2*t, -4*t + 11125 = 3*o. What is the thousands digit of o?
3
Suppose 7*o - 4*o = 3, -2*o = -4*b + 9326. What is the thousands digit of b?
2
Suppose 0*z = -2*z - f + 10, 2*f = -2*z + 14. Let t(i) be the first derivative of i**3/3 - i**2/2 - 4*i + 14. What is the units digit of t(z)?
2
Suppose 8 = 4*x - 4. Suppose -4*o + 406 = x*o. What is the tens digit of o?
5
|
{
"pile_set_name": "DM Mathematics"
}
|
ppj?
1/171
Four letters picked without replacement from uoommsmmmumu. What is prob of picking 2 o and 2 u?
1/165
What is prob of picking 4 i when four letters picked without replacement from {i: 6}?
1
Four letters picked without replacement from {o: 1, s: 2, q: 1, b: 2, w: 2}. What is prob of picking 2 w, 1 o, and 1 s?
1/35
What is prob of picking 1 l, 1 v, and 1 t when three letters picked without replacement from {t: 2, n: 6, v: 4, a: 4, c: 2, l: 1}?
8/969
Two letters picked without replacement from bbhhkbshtuk. Give prob of picking 2 t.
0
Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {e: 13, n: 5}.
65/153
Four letters picked without replacement from {d: 5, g: 5, p: 8}. Give prob of picking 1 g, 2 p, and 1 d.
35/153
Three letters picked without replacement from {y: 1, v: 2, x: 2, s: 1, j: 2, r: 5}. Give prob of picking 1 j, 1 v, and 1 x.
4/143
Four letters picked without replacement from {o: 1, d: 4, v: 1, e: 2, x: 1}. Give prob of picking 1 o, 1 v, and 2 e.
1/126
What is prob of picking 4 q when four letters picked without replacement from {h: 3, q: 3, u: 1}?
0
Four letters picked without replacement from {h: 3, i: 7, v: 1, k: 3, l: 3, g: 2}. Give prob of picking 1 v and 3 k.
1/3876
Three letters picked without replacement from zzdqzduzquuuzdqzqz. Give prob of picking 2 z and 1 u.
7/68
What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, e: 3, l: 4, h: 2}?
8/55
What is prob of picking 1 n, 1 f, and 1 r when three letters picked without replacement from fdrdjndddddff?
3/286
Two letters picked without replacement from {p: 1, g: 3, d: 1, b: 1, w: 1}. What is prob of picking 1 g and 1 p?
1/7
Three letters picked without replacement from yyyyyyyyyyyyyyyyygy. Give prob of picking 2 y and 1 g.
3/19
Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {v: 1, q: 4, g: 3, u: 3}.
12/55
Two letters picked without replacement from {g: 2, b: 1, z: 5, a: 8, w: 1, o: 3}. Give prob of picking 1 b and 1 o.
3/190
Two letters picked without replacement from llvllllvllll. Give prob of picking 2 v.
1/66
What is prob of picking 1 p and 3 q when four letters picked without replacement from {c: 9, p: 2, q: 4, f: 3}?
2/765
What is prob of picking 2 i and 1 b when three letters picked without replacement from {b: 3, i: 4}?
18/35
Three letters picked without replacement from {q: 2, x: 1, m: 2, s: 1, t: 1, a: 2}. Give prob of picking 2 q and 1 a.
1/42
What is prob of picking 1 p and 1 c when two letters picked without replacement from cccpoooocpcocpcppc?
40/153
Four letters picked without replacement from {a: 2, d: 5, b: 4}. Give prob of picking 1 d and 3 b.
2/33
Calculate prob of picking 2 a when two letters picked without replacement from ebaabe.
1/15
What is prob of picking 3 t and 1 o when four letters picked without replacement from {o: 2, v: 2, j: 4, t: 8}?
4/65
Two letters picked without replacement from mmmd. Give prob of picking 1 m and 1 d.
1/2
Two letters picked without replacement from zzzopqx. Give prob of picking 1 q and 1 p.
1/21
Three letters picked without replacement from {t: 1, w: 1, j: 1, u: 1, f: 2, l: 1}. What is prob of picking 1 f, 1 l, and 1 w?
2/35
Three letters picked without replacement from bkbbbkbbb. What is prob of picking 1 b and 2 k?
1/12
Four letters picked without replacement from ohgoopdoopyphppyopp. What is prob of picking 1 h, 1 y, and 2 o?
5/323
Calculate prob of picking 1 j and 1 s when two letters picked without replacement from jzsszjzzj.
1/6
Two letters picked without replacement from {o: 4, h: 2, r: 1}. Give prob of picking 1 h and 1 o.
8/21
What is prob of picking 1 o, 1 n, and 1 i when three letters picked without replacement from {n: 2, c: 2, i: 4, m: 2, o: 8, a: 1}?
64/969
Four letters picked without replacement from ggygsgygwygs. Give prob of picking 2 y, 1 s, and 1 w.
2/165
Two letters picked without replacement from klkkkgklgkkk. Give prob of picking 2 g.
1/66
Four letters picked without replacement from {h: 5, b: 1, x: 12}. What is prob of picking 1 x and 3 h?
2/51
Two letters picked without replacement from {r: 2, z: 3, y: 5, d: 9}. Give prob of picking 1 r and 1 z.
2/57
Two letters picked without replacement from epxffzfprpefpfrxp. What is prob of picking 1 f and 1 x?
5/68
Two letters picked without replacement from {u: 2, x: 8, w: 4}. What is prob of picking 1 x and 1 w?
32/91
Two letters picked without replacement from {f: 2, j: 2, h: 2, t: 4, m: 2}. Give prob of picking 1 f and 1 t.
4/33
What is prob of picking 1 y and 1 s when two letters picked without replacement from pyxspx?
1/15
Three letters picked without replacement from {o: 1, e: 2, r: 6, y: 2}. Give prob of picking 2 y and 1 r.
2/55
Four letters picked without replacement from vpppqppppvvvzpplpp. What is prob of picking 1 q, 1 p, and 2 v?
11/510
What is prob of picking 1 h and 1 p when two letters picked without replacement from jphkp?
1/5
Calculate prob of picking 1 c, 1 j, and 1 s when three letters picked without replacement from ssssslsjclc.
4/55
Two letters picked without replacement from {i: 3, q: 3}. What is prob of picking 2 q?
1/5
Three letters picked without replacement from {k: 2, r: 3, n: 2, t: 6}. Give prob of picking 2 n and 1 t.
3/143
What is prob of picking 2 p and 2 j when four letters picked without replacement from jjlpjjlpjljljljjl?
9/595
What is prob of picking 2 q, 1 j, and 1 h when four letters picked without replacement from {h: 1, j: 6, z: 3, a: 4, q: 3, w: 2}?
3/646
Four letters picked without replacement from {b: 5}. Give prob of picking 4 b.
1
What is prob of picking 1 q and 2 j when three letters picked without replacement from {x: 3, p: 3, q: 2, j: 8}?
1/10
Two letters picked without replacement from {y: 1, k: 3}. What is prob of picking 2 k?
1/2
Four letters picked without replacement from {t: 8, x: 7, y: 2, f: 2}. What is prob of picking 1 x, 1 t, and 2 y?
14/969
Two letters picked without replacement from {b: 1, z: 3, t: 1}. Give prob of picking 1 z and 1 t.
3/10
What is prob of picking 2 m, 1 d, and 1 g when four letters picked without replacement from dmmddegd?
2/35
Three letters picked without replacement from rdgrgmmvdrrrrdrdvrg. What is prob of picking 1 d and 2 m?
4/969
What is prob of picking 2 o when two letters picked without replacement from {p: 6, x: 1, h: 2, o: 2, y: 3}?
1/91
Three letters picked without replacement from yvyhkkzkkkkyyhh. What is prob of picking 1 z and 2 y?
6/455
What is prob of picking 1 b and 1 j when two letters picked without replacement from {b: 3, j: 3, g: 4, p: 6, u: 4}?
9/190
What is prob of picking 2 b when two letters picked without replacement from bvvbbv?
1/5
Two letters picked without replacement from ijjij. Give prob of picking 1 j and 1 i.
3/5
Calculate prob of picking 3 k when three letters picked without replacement from kkkwwwkk.
5/28
Three letters picked without replacement from {a: 7, b: 5}. Give prob of picking 1 a and 2 b.
7/22
Calculate prob of picking 1 n and 2 u when three letters picked without replacement from {n: 7, u: 4, e: 3}.
3/26
Calculate prob of picking 1 o and 1 g when two letters picked without replacement from wwooogwwoo.
1/9
Three letters picked without replacement from {k: 2, w: 2, h: 4, m: 4}. Give prob of picking 3 m.
1/55
Calculate prob of picking 1 w and 1 d when two letters picked without replacement from lwwwlld.
1/7
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {g: 8, m: 1, v: 2, x: 3, l: 1, u: 1}.
1/15
What is prob of picking 1 m and 1 i when two letters picked without replacement from {m: 2, i: 2, h: 1}?
2/5
Calculate prob of picking 3 d and 1 y when four letters picked without replacement from {d: 9, y: 10}.
70/323
Two letters picked without replacement from vcv. What is prob of picking 2 v?
1/3
Calculate prob of picking 1 u, 1 o, and 2 h when four letters picked without replacement from {o: 1, u: 1, k: 3, h: 5}.
1/21
Two letters picked without replacement from {m: 1, w: 1, f: 2, l: 1, i: 1, p: 1}. What is prob of picking 1 f and 1 m?
2/21
Three letters picked without replacement from ppppiiippipi. What is prob of picking 3 p?
7/44
Calculate prob of picking 2 h when two letters picked wi
|
{
"pile_set_name": "DM Mathematics"
}
|
= -1. Let u be (-294)/s + (14/(-8) - -2). Determine z(u).
-1
Let z(h) be the first derivative of h**4/24 + 9*h**2/2 - 39. Let r(l) be the second derivative of z(l). Calculate r(6).
6
Suppose 5502*w - 5510*w - 128 = 0. Let m(f) = 3*f + 61. Let s(n) = -n - 20. Let p(l) = -4*m(l) - 14*s(l). Give p(w).
4
Let f(h) = -11 + 23*h**3 - 5*h + 2 - 25*h**3 + 13*h**2. Give f(6).
-3
Let n be (-56)/6*-10*48/140. Let t(h) = 9*h - 283. Determine t(n).
5
Let h(j) be the second derivative of 17*j**4/12 - j**3/6 - j**2/2 + j. Let u(s) = -678*s - 11527. Let r be u(-17). Calculate h(r).
17
Let b(q) = 23*q - 2. Suppose 0 = 49*s - 195 + 48. Determine b(s).
67
Let s(m) be the third derivative of -m**5/30 + 7*m**4/24 + 6*m**3 + 95*m**2 + 11. Determine s(7).
-13
Let g(h) = 10767 - 10752 + 8*h + 51*h**2 - 53*h**2. What is g(-6)?
-105
Let s(i) = -24*i + 26. Let o be s(1). Let j(p) = 8*p**2 - 5*p - 1 + 7*p - 16*p**o + 6*p**2. What is j(2)?
-5
Let w(y) = -37 + 0*y**3 + 18*y**2 + 19*y + 5*y**3 + 2*y**3 + 40 - 8*y**3. Calculate w(19).
3
Let b(z) = 53 - 6 - 27 - 26 - 14*z. Let o = 8 + -2. Let i(w) = 15*w + 7. Let h(f) = o*b(f) + 5*i(f). Give h(-1).
8
Let x(u) = -33*u**3 + u + 1. Suppose -5*s = -5*o + 35, 0 = -5*s - 13*o + 9*o + 19. Determine x(s).
33
Let p(w) = w**2 + 6*w + 3. Let x(f) = -f**2 + 6*f + 50. Let c = -473 - -484. Let b be x(c). Determine p(b).
-2
Suppose 21*u + 45 = 24*u. Suppose 0*p + 4*g - 1 = p, -p + u = 4*g. Let k(v) = -572*v + 8*v**2 + 2*v**3 + 565*v - 3*v**3 + 6. Determine k(p).
6
Let z(s) = -15*s - 1. Let m(x) be the second derivative of 10*x - 3*x**3 + 31/2*x**2 + 0 + 1/12*x**4. Let c be m(16). What is z(c)?
14
Let x = 36 + -29. Suppose -4*a + 13 = 5*b, 5*a - b = 3*b + 6. Let j(n) = 12*n**2 - n - x*n - 15 - 13*n**a + 6. Calculate j(-6).
3
Let y(i) = i**3 - 7*i**2 + 2*i + 2. Suppose -223*f + 1086 = 99*f + 120. What is y(f)?
-28
Let g = -18 + 11. Let o(m) = 11*m**3 - 59*m**2 + 16*m + 64. Let c(d) = -7*d**3 + 36*d**2 - 10*d - 41. Let t(b) = 8*c(b) + 5*o(b). Determine t(g).
-8
Let x(a) = 16*a**2 - 14*a + 21. Let u(v) = 3*v**2 - 3*v + 4. Let n(d) = 11*u(d) - 2*x(d). Suppose 0 = 10*z - 11*z + 1, -7 = -3*l + 2*z. Determine n(l).
-4
Suppose -3*q + 19 = 4. Let f = -20 + 22. Let s(u) = 5 + u + f - u - 2*u. Give s(q).
-3
Suppose 2*m - 55 = 3*v, 2*v + 159 = 153. Let s(o) be the first derivative of m + 5*o - 1/2*o**2. What is s(7)?
-2
Suppose 118 = 4*o - 63*o. Let d(j) = -j + 9. Let q(a) = -a + 9. Suppose 2 = 2*w - 4. Let r(t) = o*d(t) + w*q(t). Determine r(7).
2
Let s = -1 + 6. Suppose 4*i = -2*l - 0*l - 20, i = -s*l - 14. Let m(r) = -6*r - 1398. Let y(b) = 5*b + 1197. Let q(x) = -6*m(x) - 7*y(x). What is q(i)?
5
Let l(k) = k**2 - 4*k + 3. Let u(y) = 4*y**3 + y**2 + 5*y + 2. Let v be u(4). Suppose 17*h + v = 11*h. Let x = h + 51. Determine l(x).
-1
Let f(i) = 3*i**2 - 2*i + 1. Let h be 1*((4 - 0/(-3)) + -2). Let c be (1 - h)/(1/3)*-1. What is f(c)?
22
Suppose 5*u + 0*u - 5*b = 0, -4*u = -b + 12. Let d(q) = 5 + 1 - 7*q + 2 + 27*q**2 - 13 - 28*q**2. Give d(u).
7
Let r(f) = f**2 - 12*f + 30. Let v be r(3). Let b(o) = 4*o**2 + 5*o + 3 + 8 - 23 - o**v + 11. Determine b(5).
-1
Let n = 22786 - 22800. Let u(o) = o + 9. Give u(n).
-5
Let n(m) = m**2 + 7*m + 1. Let z(w) = 48*w**3 - w**2 - 3*w - 2. Let s be z(-1). Suppose -20 = 4*k, 3*l - 4*k - 188 = -l. Let i = s + l. Give n(i).
-5
Let c(t) = -3*t - 35. Let u be c(-13). Suppose -3*v + 18 = -5*k, -4 = -4*v - u*k - 12. Let p(z) = z + 308*z**2 - 3*z - 307*z**2 - v. Calculate p(-1).
2
Suppose 2*f = -11*c + 9*c - 16, -4*c - 5 = -5*f. Let u(r) = 9*r + 29. Determine u(f).
2
Let g(n) = n**3 + 3*n**2 + 2*n + 2. Let h(u) = -4*u**3 - 10*u**2 - 36*u - 1. Let s be h(-5). Let t = -431 + s. What is g(t)?
2
Suppose -17 = p - 5*m, -p + 3*m + 7 = 18. Let k(z) = -4*z - 3. Let f be k(p). Let a(t) = t - 5. What is a(f)?
0
Let k(m) = -4 - 13*m**3 - 2 + 5 + 2*m. Suppose -1 = x - 4*n + 6, 2*n + 1 = 5*x. Determine k(x).
-12
Let q(y) = 385*y + 378*y + 379*y + 44 - 1141*y. Give q(-37).
7
Let n(c) = 22*c**2 - 11*c - 9*c**2 + 6*c - 5*c**2 + 6. Let d(w) = w**3 - 15*w**2 + 9*w - 11. Let f(j) = 6*d(j) + 11*n(j). Determine f(-1).
-7
Let q(g) = -29*g - 2. Suppose -62*x - 63 = -1. Give q(x).
27
Let w(a) = -4*a**3 - 7*a**2 + 14*a + 40. Let z(x) = 9*x**3 + 15*x**2 - 27*x - 81. Let b(s) = 7*w(s) + 3*z(s). Calculate b(-2).
-5
Let a(j) = 9*j - 1. Let v = 80 + -80. Let x be v + -2 + (19 - 7). Suppose -x*k = 15 - 5. Determine a(k).
-10
Let f(w) = 11*w**2 - 2*w - 4. Let r = 12473 + -12475. What is f(r)?
44
Let l(s) be the third derivative of -s**4/6 + 19*s**3/3 + 3291*s**2. Give l(0).
38
Let t(h) = -62*h**2 + 4*h**2 + 4 + 4*h + 16*h**2 + 17*h**2 + 26*h**2. Let o(k) = k**2 + 6*k + 1. Let v be o(-5). Calculate t(v).
4
Suppose 5*n = 10, -19*d + 4*n + 16 = -15*d. Let o(x) = -2*x - 1922 - 2*x - d*x + 1920. Calculate o(-2).
18
Let g be 2*2*((-12)/3)/4. Let f be (-15)/25 - 26/(-10). Let u(z) = -5 + 0*z**f - z + 0 + z**2. Determine u(g).
15
Let t(q) be the second derivative of q**6/360 - q**5/40 - q**4/12 + 29*q**3/6 + 51*q. Let f(c) be the second derivative of t(c). Determine f(3).
-2
Let f(t) = t**3 - 6*t**2 - 3. Suppose 0 = 11*s - 12 - 79 + 25. Calculate f(s).
-3
Let v(t) = -7*t - 5. Let h(j) = -8*j - 4. Let p(i) = 5*h(i) - 6*v(i). Suppose 0 = 5*g + 2*l + 41, -60*g - 8 = -58*g - 2*l. What is p(g)?
-4
Let w(g) = -15*g - 43. Let p(c) = 19 + 418*c - 813*c + 23 + 405*c - 14. Let v(o) = -8*p(o) - 5*w(o). What is v(-7)?
26
Let k(p) = -5*p**2 - 8*p + 5. Let f(i) = -4*i**2 - 11*i + 3. Let x(l) = -3*f(l) + 2*k(l). Determine x(-9).
10
Let d(l) be the third derivative of -l**4/24 + 4*l**3/3 + 6*l**2. Let s be 5/(-1) + (-780)/(-52). Determine d(s).
-2
Let v = 44 - 32. Let l be 2/v*-3*0. Let h = 4 + l. Let q(m) = -m**2 + m + 1. What is q(h)?
-11
Let j = -8058 - -8057. Let u(w) = -13*w**3 - 3*w**2 - 10*w - 8. Calculate u(j).
12
Let d(y) = y**3 - 11*y**2 - y + 20. Suppose 4*f = 5*h + 69, -36*f = -40*f - 3*h + 29. Calculate d(f).
9
Let j(m) = -3*m + 54. Suppose -1896*r + 1893*r + 85 = -4*z, -3*z = -4*r + 97. Give j(r).
-3
Let r(c) = 47*c + 49*c + 51*c - 160*c - 10. Let d be r(-5). Let z(g) = d - 25 + 3*g + g**2 - 29. Calculate z(-2).
-1
Suppose 14 = 50*j - 49*j - 2*a, j + 5*a + 28 = 0. Let o(w) = -24*w + 29. Calculate o(j).
-19
Let f(p) = -p**3 - 10*p**2 - 7*p + 7. Let w = 474 + -251. Let r = -232 + w. Give f(r).
-11
Let y be 22 + -8 + -1 + 3 + 204/(-6). Let u(n) = -7 - n - 16 + 1. Calculate u(y).
-4
Suppose -5*n = -4*n - 9. Let i(s) be the third derivative of -s**6/120 + 2*s**5/15 + s**4/2 + s**3/6 + 45055*s**2. Determine i(n).
28
Let g = 171 - 168. Let j(a) = 3*a**2 - 2*a - g - 2618*a**3 + a - 5*a + 2619*a**3. Determine j(-5).
-23
Let m(n) = 27*n**3 + 2*n**2 - 5*n + 7. Let r be m(2). Let s = r + -227. Let i(v) = v**3 + 5*v**2 - 7*v - 6. What is i(s)?
0
Let s(a) be the third derivative of -5*a**4/24 + 5*a**3/3 + 2*a**2 - 85*a. Let z(c) = 3*c - 11. Let f(h) = -2*s(h) - 3*z(h). Calculate f(-6).
7
Let a(r) = -811*r + 815*r - 8*r**2 - 8 - r**3 - 23 - 2*r**2 + 0. Determine a(-11).
46
Let f(o) = -o + 90 - 186 + 88. Let h be (11 + -9)*(-6)/4. What is f(h)?
-5
Let p(y) = -5*y + 26. Suppose 287 - 279 = 2*h. Let o(b) = 11*b - 57. Let d(w) = h*o(w) + 9*p(w). Give d(0).
6
Let w be (-22)/33*1*-18. Let m(h) = 2*h - 15. Let j be m(w). Let o be (-3)/(-3 - j/(-2)). Let r(i) = i - 1. Give r(o).
-3
Let f(w) be the third derivative of -w**5/60 - 29*w**4/24 - 2*w**3/3 - 80*w**2 - 2*w. What is f(-29)?
-4
Let u(q) = -48*q**2 + 28 + 9*q + 3 + 59*q**2 - 10*q**2. Determine u(-6).
13
Let l = 198 - 178. Let r(v) = -l - v**3 + v**2 - 27 + 46. What is r(3)?
-19
Let z(w) = 3*w**2 + 7*w - 7. Let v be (-54)/36*(-4)/3*-2. Determine z(v).
13
Suppose 0 = -2*o + m + 9, 1099*o - 1100*o - 2*m = -17. Let v(u) = u**2 - 19*u + 84. Determine v(o).
0
Let c(h) = -13 + h**3 + 3*h**2 + 7 - 7*h**2 + 5*h. Suppose 5*q - 3*i - 3 = 0, 18*q - 2*i = 17*q - 5. Determine c(q).
0
Let r(i) be the third derivative of -37*i**4/24 + 74*i**3/3 + 3180*i**2 - 1. What is r(4)?
0
Let u(a) = a**2 - 7*a. Let l be u(5). Let r(p) be the first derivative of p**3/3 + 9*p**2/2 - 11*p - 86. Determine r(l).
-1
Let f(j) = -j + 2. Let a = -176 + 184. Suppose -a*z = -z + 42. What is f(z)?
8
Let q(y) = y**2 - 7*y - 9. Let t be ((-21)/77)/(3/(-33)). Suppose 0 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
und -37925383.8 to the nearest 100000.
-37900000
What is 599.35008 rounded to one dp?
599.4
What is 0.0000411190431 rounded to six dps?
0.000041
What is -28623048.1 rounded to the nearest one hundred thousand?
-28600000
Round -5422327.446 to the nearest 100.
-5422300
Round -0.0636512015 to three decimal places.
-0.064
What is 0.01307931912 rounded to 5 decimal places?
0.01308
What is 3812013.034 rounded to the nearest 10000?
3810000
Round -0.0002100904422 to 5 decimal places.
-0.00021
Round 19121634.65 to the nearest 10000.
19120000
Round 1064.339282 to the nearest 10.
1060
Round -0.00028704157 to six decimal places.
-0.000287
Round -0.1325748823 to five decimal places.
-0.13257
Round -1237961675 to the nearest 100000.
-1238000000
Round 0.000002662224707 to six dps.
0.000003
What is 46530.09142 rounded to the nearest one hundred?
46500
What is 1.0837362381 rounded to four decimal places?
1.0837
What is 3.209944579 rounded to 4 decimal places?
3.2099
Round -5.025207546 to three dps.
-5.025
What is 55149.31349 rounded to the nearest one hundred?
55100
Round -394.05067 to 1 decimal place.
-394.1
Round -0.00208286573 to six dps.
-0.002083
Round 2.4197933 to two decimal places.
2.42
What is -96917.64814 rounded to the nearest ten thousand?
-100000
Round 0.01272201075 to three dps.
0.013
What is -45175.9628 rounded to the nearest 10000?
-50000
Round 13.5234369 to one decimal place.
13.5
What is -405.8462 rounded to the nearest 100?
-400
What is -1927500.8 rounded to the nearest 1000000?
-2000000
Round -0.0002153498951 to 7 dps.
-0.0002153
What is 0.00000611030551 rounded to 7 dps?
0.0000061
Round -2.793284054 to two dps.
-2.79
What is -440.28344 rounded to one dp?
-440.3
What is 593.69787 rounded to the nearest 100?
600
What is -0.000001266391746 rounded to 7 dps?
-0.0000013
Round 0.661845524 to 1 decimal place.
0.7
What is -0.101270599 rounded to five decimal places?
-0.10127
What is -0.0002019736374 rounded to seven decimal places?
-0.000202
Round 1435206591 to the nearest one million.
1435000000
What is -0.000001435881118 rounded to 6 dps?
-0.000001
Round -8835462.514 to the nearest one million.
-9000000
What is 0.0037881891 rounded to 6 decimal places?
0.003788
Round 0.00034899775 to three dps.
0
Round -153158.392 to the nearest 100.
-153200
What is -16.869161331 rounded to 4 dps?
-16.8692
What is -5.22767687 rounded to two dps?
-5.23
Round -0.00183354694 to 5 dps.
-0.00183
What is 414537585 rounded to the nearest 10000?
414540000
Round 15907412.945 to the nearest one hundred thousand.
15900000
Round 2600689.36 to the nearest one hundred thousand.
2600000
Round -887.93139 to the nearest 100.
-900
What is 10919.2855 rounded to the nearest integer?
10919
What is -227.9612558 rounded to 2 dps?
-227.96
Round 1.17077328 to the nearest 10.
0
Round 0.000042493958 to seven decimal places.
0.0000425
What is -0.293524991 rounded to 2 decimal places?
-0.29
Round 6305.020969 to the nearest 1000.
6000
What is 1540681130 rounded to the nearest one million?
1541000000
Round 161862.0529 to the nearest one thousand.
162000
Round 0.0039545139 to four decimal places.
0.004
What is -203551.228 rounded to the nearest 10?
-203550
Round -1.4892631 to one decimal place.
-1.5
Round 50933.133 to the nearest one hundred.
50900
What is 1387911.2609 rounded to the nearest ten?
1387910
Round 49.42072586 to 1 dp.
49.4
What is -0.00000031956702 rounded to seven decimal places?
-0.0000003
Round 542.4503 to the nearest 10.
540
What is 0.000933201562 rounded to four dps?
0.0009
Round -19385.463 to 0 decimal places.
-19385
What is -1518074810 rounded to the nearest 1000000?
-1518000000
What is -0.01577995766 rounded to 3 decimal places?
-0.016
What is -329.334184 rounded to the nearest one thousand?
0
Round -251945675 to the nearest 1000000.
-252000000
What is -0.00000198794 rounded to six decimal places?
-0.000002
What is -41.433027 rounded to the nearest one hundred?
0
What is -1048.35303 rounded to the nearest one hundred?
-1000
What is 278998083.8 rounded to the nearest 100000?
279000000
What is -0.1549263673 rounded to six decimal places?
-0.154926
Round 6242854.9 to the nearest one thousand.
6243000
Round 5749.115 to the nearest 100.
5700
Round -21.0258425 to 3 decimal places.
-21.026
Round 0.661594069 to 2 decimal places.
0.66
What is -21333179 rounded to the nearest 1000000?
-21000000
Round 0.0000124031968 to six dps.
0.000012
Round -0.012225709 to four decimal places.
-0.0122
What is -16.71225196 rounded to 3 dps?
-16.712
Round 176803.956 to the nearest ten.
176800
What is 469919.24 rounded to the nearest 100?
469900
What is -13182.5047 rounded to the nearest 10000?
-10000
What is -15.058727496 rounded to 0 decimal places?
-15
What is -0.00099006846 rounded to 4 dps?
-0.001
Round -13.34923184 to 1 dp.
-13.3
Round 93794662 to the nearest ten thousand.
93790000
What is 0.768413258 rounded to two decimal places?
0.77
Round -0.0726723457 to five dps.
-0.07267
Round -30259783.05 to the nearest 100000.
-30300000
What is -0.0043179013 rounded to four decimal places?
-0.0043
What is 0.0001402683 rounded to 3 decimal places?
0
What is -2.566955796 rounded to 3 decimal places?
-2.567
Round -57953.8638 to the nearest 10.
-57950
What is 1.126389 rounded to 2 dps?
1.13
What is -33828970900 rounded to the nearest 1000000?
-33829000000
What is -7638686500 rounded to the nearest 1000000?
-7639000000
What is -0.0367739006 rounded to four dps?
-0.0368
Round 0.00091223903 to 7 decimal places.
0.0009122
Round -2674664.594 to the nearest one hundred.
-2674700
What is 1149382.182 rounded to the nearest 1000?
1149000
Round 1.175649929 to five decimal places.
1.17565
Round 30738917.2 to the nearest 10000.
30740000
What is -0.0001620501696 rounded to 6 dps?
-0.000162
Round -0.001247914594 to 3 decimal places.
-0.001
What is -1055198520 rounded to the nearest 1000000?
-1055000000
Round 0.7170265026 to 5 decimal places.
0.71703
What is -1123.626666 rounded to the nearest integer?
-1124
Round -780.994911 to the nearest one hundred.
-800
Round 0.157753761 to 3 dps.
0.158
Round 0.0000034560332 to 7 decimal places.
0.0000035
What is -5.631447729 rounded to 2 decimal places?
-5.63
What is -121.17931026 rounded to the nearest 10?
-120
Round -233002835.75 to the nearest 1000.
-233003000
Round -0.000083142431 to 7 decimal places.
-0.0000831
Round -0.00553634109 to 6 decimal places.
-0.005536
Round -0.00000049115877 to 7 dps.
-0.0000005
Round 14317654.015 to the nearest 1000000.
14000000
Round -576765.35 to the nearest 1000.
-577000
What is 1766539.5217 rounded to the nearest 10000?
1770000
Round 9021.850951 to one dp.
9021.9
Round -0.00015102547 to six dps.
-0.000151
What is -468.88612 rounded to 1 dp?
-468.9
Round -0.00075819218 to six decimal places.
-0.000758
What is -0.487542 rounded to four dps?
-0.4875
Round -79.4400687 to 0 dps.
-79
Round -118698656 to the nearest 100000.
-118700000
What is -59.811896 rounded to one dp?
-59.8
Round 929588.8 to the nearest 100000.
900000
What is 17953.48 rounded to the nearest 1000?
18000
Round 0.00236213772 to 6 decimal places.
0.002362
Round -11058232.92 to the nearest one million.
-11000000
Round 0.1438058586 to five decimal places.
0.14381
What is -6722.182 rounded to the nearest one thousand?
-7000
What is -281148.385 rounded to the nearest one hundred?
-281100
Round -0.0000430590501 to 6 dps.
-0.000043
Round 43.923331 to the nearest integer.
44
What is 523.2648 rounded to the nearest 100?
500
Round 1846.0267469 to the nearest 100.
1800
Round -1566829.05 to the nearest 1000.
-1567000
Round 0.00061912244 to seven dps.
0.0006191
What is 72052674 rounded to the nearest one million?
72000000
Round -1168014.06 to the nearest ten thousand.
-1170000
What is -4811858.7 rounded to the nearest 100000?
-4800000
What is -7000.40987 rounded to zero decimal places?
-7000
What is 0.000197753596 rounded to 7 dps?
0.0001978
What is 0.0000663475754 rounded to seven dps?
0.0000663
What is 0.00000346086349 rounded to seven dps?
0.0000035
What is -19405566.44 rounded to the nearest 1000?
-19406000
What is -113.2988 rounded to the nearest ten?
-110
What is 0.0000321852048 rounded to 7 decimal places?
0.0000322
Round 118484815.6 to the nearest 1000000.
118000000
Round -311869.76
|
{
"pile_set_name": "DM Mathematics"
}
|
der when ((-25)/10)/(p/(-2)) is divided by 2?
1
Suppose 25 = -5*y, -y - 1 = -2*n + 12. Suppose 3*b + p + 44 = 8*b, -n*b + 3*p + 44 = 0. Suppose 5*q = 17 + 98. What is the remainder when q is divided by b?
7
Let z = 97 - 57. Calculate the remainder when z is divided by 21.
19
Let r(q) be the first derivative of -q**2 + 3*q + 3. Let t be r(6). Let v = t - -13. Calculate the remainder when 14 is divided by v.
2
Suppose -o + 44 = -17. What is the remainder when o is divided by 16?
13
Let y(j) = 4*j**2 - 2*j - 2. What is the remainder when 9 is divided by y(-1)?
1
Suppose -4*h - 2*d + 42 = 0, 4*h = -h - d + 48. What is the remainder when 22 is divided by h?
4
Let v(r) = -2*r. Let x be v(-2). Suppose x*l - 40 = -l. Calculate the remainder when 21 is divided by l.
5
Let a(u) = u**2 + u. Let l be ((-1)/(-4))/((-6)/(-24)). What is the remainder when 7 is divided by a(l)?
1
Calculate the remainder when 82/4 - 6/(-12) is divided by 6.
3
Let r = 71 - 38. Suppose -3*n - 3*s + 27 = 0, -n + 5*s + 0*s = -r. Calculate the remainder when (-4)/(-6) + 365/15 is divided by n.
12
Let k(i) = i**3 - 15*i**2 + 17*i - 7. Calculate the remainder when 68 is divided by k(14).
33
Let o(z) = -15*z + 4. What is the remainder when o(-3) is divided by 17?
15
Let w = 3 + -28. Let c = 63 + w. Calculate the remainder when c is divided by 10.
8
Suppose 6*g - 3*g + 6 = q, -2*g = -q + 9. Let c be 150/35 + 4/(-14). Suppose 5*r = 5*w + 25, c*r + 3*w - 38 = w. What is the remainder when q is divided by r?
7
Suppose 0*m + q - 9 = 2*m, 3*m - q = -15. Calculate the remainder when (14/(-4) + 3)*m is divided by 3.
0
Suppose 4*v + 25 = 173. Let r be -1 + 1 - (4 - 2). What is the remainder when v is divided by (-20)/(-1) - (-1 - r)?
18
Calculate the remainder when (-8)/(-12)*-3 - -18 is divided by 9.
7
Suppose -78 = -3*a - 30. Let t = 115 + -68. What is the remainder when t is divided by a?
15
Suppose 4*v - 7*v - 71 = -4*t, 0 = 3*t - v - 47. What is the remainder when 13 is divided by (-3)/(2/t*-3)?
6
Let z(u) = -u**2 + 11*u + 25. Calculate the remainder when z(12) is divided by 4.
1
Let s = -57 + 75. Calculate the remainder when 177 is divided by s.
15
Suppose 2*i + i = 18. Let u be ((-3)/i)/(1/(-10)). Suppose l + 2*k = 10, -2*l = k - 6 - u. What is the remainder when 7 is divided by l?
3
Let l = -2 + 5. Suppose -s = s + 2*t - 12, -19 = -l*s - 2*t. What is the remainder when 13 is divided by s?
6
Let z = -15 - -46. What is the remainder when 92 is divided by z?
30
Let y = -18 + 23. What is the remainder when 8 is divided by y?
3
Let b(x) = -x**2 - 13*x + 20. Let j(k) = -k**3 + 4*k**2 + 2*k + 3. What is the remainder when j(4) is divided by b(-14)?
5
Suppose j + 2 + 8 = 0. Let u = j - -12. What is the remainder when 24 + u + 6/(-2) is divided by 12?
11
Let m be 9/(-6)*(1 + -3). Calculate the remainder when 49 is divided by 10/m*30/4.
24
Suppose -4*z = -4*d - 156, -3*z + 2*d = -2*z - 43. Suppose 5*v = -q + 88, 0 = -2*v - 4*q - 7 + z. What is the remainder when v is divided by 10?
8
What is the remainder when (112/10)/((-10)/(-50)) is divided by 29?
27
Suppose -6*n - 381 = -45. What is the remainder when 9 is divided by n/(-10) - 22/(-55)?
3
Let t(z) be the third derivative of z**5/60 - z**4/6 - z**3/2 + 2*z**2. Let r be t(4). Calculate the remainder when 21 is divided by r/(3/(-11))*1.
10
Calculate the remainder when (-4)/30 - 422/(-15) is divided by 10.
8
What is the remainder when 16/(-10)*75/(-2) is divided by 21?
18
What is the remainder when (10/4)/(11/66) is divided by 8?
7
Suppose 0*h - 5*h + 305 = -2*s, -5*s = 0. What is the remainder when h is divided by 31?
30
Let u be 8/20 - 42/5. Let q be u/12*3/1. Let h = 17 - q. Calculate the remainder when 36 is divided by h.
17
Suppose a + 2 = -3, 5*s - 2*a - 80 = 0. What is the remainder when (11*5)/(-1 + 2) is divided by s?
13
Let t = -85 + 120. Let y = -21 + t. Suppose -2*o = i - 9, 2*o - i - 2 = 5. Calculate the remainder when y is divided by o.
2
Suppose -2 = 4*i - 18. Suppose 75 = 4*f + 3*j, 5*f - 78 = i*j + 39. Let l(t) = -t**2 + 8*t - 4. What is the remainder when f is divided by l(5)?
10
Suppose 0 = -10*p + 7*p + 33. Calculate the remainder when 41 is divided by p.
8
Suppose 44 = 3*d - 25. Calculate the remainder when 109 is divided by d.
17
Let t(s) = 13*s. Let g(z) = z + 7. Let a be g(-6). Calculate the remainder when t(a) is divided by 4.
1
Suppose 3*b + 7 - 16 = 0. Calculate the remainder when b is divided by ((-8)/(-14))/((-2)/(-7)).
1
Let l(c) = c**3 + 9*c**2 - 3*c - 14. Suppose 16 = 2*h - 2*b, -2*h + b = 3*h - 40. Calculate the remainder when l(-9) is divided by h.
5
Suppose -2 = 5*b - 37. Calculate the remainder when b is divided by 5.
2
Suppose 29 = 4*t + 9. Suppose 0 = f - 4 + 7, 25 = 5*z - t*f. Suppose -2*d = 5*r - 163, r = z*r + d - 35. What is the remainder when r is divided by 11?
9
Suppose -64 = -q - q. Calculate the remainder when q is divided by 19.
13
Let l = 8 + -14. Let m = 12 + l. Suppose -m = 3*z - 18. Calculate the remainder when 10 is divided by z.
2
Let k = 54 - 11. Let g = -24 - -35. Calculate the remainder when k is divided by g.
10
Let l = -1 + 5. Let g = 0 + -1. Let k(b) = 5*b**2 - 2*b - 1. What is the remainder when k(g) is divided by l?
2
Suppose -5*r - 15 = -50. Suppose -5*c = 2*z + 130, -4*c - 2*z = -z + 104. Calculate the remainder when r is divided by 2/5 - c/10.
1
Let x(i) = -2*i - 9. Let a be x(-6). Suppose h - 12 = -a*h. Suppose -h*r = -8*r + 5*d + 20, 5*d = 4*r - 18. Calculate the remainder when 4 is divided by r.
0
Suppose -4*o + 66 = 5*j - 20, -40 = -2*j - 3*o. What is the remainder when 24 is divided by j?
10
Suppose 0 = -2*i + 8, 5*a + 2*i + i - 122 = 0. What is the remainder when a is divided by 12?
10
Let g = 7 - 7. Let l be (1 - g) + 0/3. Let y = 12 - l. What is the remainder when 21 is divided by y?
10
Suppose -34 = 5*c + 16. Let s = c - -15. Suppose -4*f = -2*f - 28. Calculate the remainder when f is divided by s.
4
Let w(p) = p**2 - p + 3. Let m be w(0). Suppose -m*u + 5*y = -u - 19, -4*u = -5*y - 33. Calculate the remainder when ((-2)/(-3))/(4/78) is divided by u.
6
Let g = 23 + -21. Suppose i + 24 = g*i. Calculate the remainder when 46 is divided by i.
22
Suppose 0 = 2*w - 57 - 7. Calculate the remainder when 95 is divided by w.
31
Let v(y) = -3*y - 5. Calculate the remainder when 34 is divided by v(-5).
4
Suppose 3*t - 2 = 28. What is the remainder when (-92)/(-5) + 4/(-10) is divided by t?
8
Let d(c) = 24*c - 1. What is the remainder when d(1) is divided by 13?
10
Let c = 36 + -27. Let z be (-1 - 1)/((-3)/48). Suppose -v = v - 5*g - 39, -2*g = 2*v - z. Calculate the remainder when v is divided by c.
8
Suppose 3*o - 11 = 5*s, -4 = -3*s + 2. Let r = 4 - -16. Calculate the remainder when r is divided by o.
6
Suppose x - 60 = -4*o + 5*x, 4*o + 3*x - 74 = 0. Calculate the remainder when 81 is divided by o.
13
Let a = -7 + 12. Suppose 2*t = -5*y + 2*y + 32, -3*t + 13 = 2*y. What is the remainder when y is divided by a?
4
Calculate the remainder when 35 is divided by 16/(-6)*1/(4/(-30)).
15
What is the remainder when 50 is divided by 0 + -3 + 3*22/3?
12
Suppose 20 = 4*p - v - 11, -4*v = 5*p - 23. What is the remainder when p is divided by (-2 - (-12 - -3)) + -3?
3
Suppose -3*y + 11 = -0*y + 2*h, -3*y = -2*h - 7. Suppose -t + 5*w = -29, -7*t + y*t + 26 = -2*w. Calculate the remainder when t is divided by 3.
1
Suppose -259 = 3*n - 5*w, w + 190 = -2*n - 0*w. What is the remainder when n/(-6) - 1/(-2) is divided by 9?
7
Let y(u) = -u**2 + 19. Suppose -7*j = -3*j. Suppose -5*z + 2*m = -0*z - 44, 2*m = 2*z - 14. What is the remainder when y(j) is divided by z?
9
Let f(b) = -b**3 + 9*b**2 + 12*b - 9. What is the remainder when 74 is divided by f(10)?
8
Suppose 0*n - 4 = -n, 2*n = m + 11. Let a(h) = -h**3 - 3*h**2 - 4*h - 5. Let u(r) = 4*r**2 - 3*r - 1. What is the remainder when u(3) is divided by a(m)?
5
Let t = 8 + -3. Let k(p) = 4*p - 5. What is the remainder when 44 is divided by k(t)?
14
Let p = 3 - -1. Suppose y - 8 = -5*r, 3*y = p*y + 4*r - 11. Calculate the remainder when y is divided by (-105)/(-9) + 2/6.
11
Let t(a) = a - 4. Let y be t(4). Let c be (9/(-90) - (-2)/(-5))*-6. Suppose -26 = -u - 4*r, 3*r + y*r + 18 = c*u. What is the remainder when u is divided by 3?
1
Let l = -12 - -1
|
{
"pile_set_name": "DM Mathematics"
}
|
s 3?
25965
-1.229*-0.233
0.286357
0.1*-7671
-767.1
What is 2.6 times 19982?
51953.2
Product of 33 and 1.609.
53.097
-1 * -5382.15
5382.15
-230 times 5562
-1279260
What is -75808 times 2.4?
-181939.2
Work out -106816 * 0.2.
-21363.2
What is the product of -2 and 8218?
-16436
What is 2 times 225?
450
-6 * 2978
-17868
-1*-5336.2
5336.2
What is -0.4 times -0.080436?
0.0321744
What is 22.248 times -7?
-155.736
Work out 0.2 * 12671.
2534.2
What is 1444 times -4?
-5776
-0.2 * -274359
54871.8
Product of 736 and 0.04.
29.44
1342.6 times 4
5370.4
Work out 0 * 0.538121.
0
Multiply -26.2 and 1.322.
-34.6364
Calculate 0.5*-0.8895.
-0.44475
-236.6 times -6
1419.6
359*-727
-260993
-23095 times -228
5265660
Multiply -4 and 6668.
-26672
-1.84127 times 35
-64.44445
-119.79 times 1.85
-221.6115
8.3*3905.3
32413.99
-33*22439
-740487
0.1133*-0.201
-0.0227733
Work out 0.1208577 * -0.5.
-0.06042885
Work out 0.22609 * -16.
-3.61744
-1967*-1
1967
Work out -10297 * 23.
-236831
Calculate -25438*-2.
50876
Multiply -618 and -131.
80958
Calculate -468*176.
-82368
Work out -13 * -6577.
85501
-0.1733*0.51
-0.088383
What is -13872 times -64?
887808
-4 * -38236
152944
9 * -225.09
-2025.81
What is 1376 times -0.09?
-123.84
Multiply 22568 and -1.
-22568
Product of 1.2773 and 0.
0
Calculate 1.6*-625.
-1000
Calculate -953.74*-0.2.
190.748
Multiply 1.5 and -1073.
-1609.5
What is 57 times -77071?
-4393047
427 times 286
122122
Work out 541343 * -0.1.
-54134.3
-0.08 times 0.43747
-0.0349976
Multiply -3990 and -0.5.
1995
-14504*-1.05
15229.2
Calculate -3684*-0.8.
2947.2
-0.21*162.2
-34.062
What is 19 times -2.274?
-43.206
26.48*-0.1247
-3.302056
0.1 times -4.1952
-0.41952
90.425 times 3
271.275
Calculate -0.0340366*-0.05.
0.00170183
Work out -10.4 * 7665.
-79716
345.51*-0.4
-138.204
Product of -13 and -41.3.
536.9
197.61 * 0.2
39.522
Product of 27793 and 11.
305723
Work out 0.0512 * 0.372.
0.0190464
166423 times -0.02
-3328.46
Calculate 2752*-0.1.
-275.2
-2.65694 times 0
0
Multiply 0.02 and -55608.
-1112.16
Work out -3313 * 1.6.
-5300.8
What is the product of -4601 and -0.325?
1495.325
Multiply -0.113 and -1107.
125.091
Product of -2518 and 0.2404.
-605.3272
50677 times 0.2
10135.4
Calculate -7924.3*0.1.
-792.43
What is the product of -47689.2 and -1?
47689.2
49.2 times 5
246
-19.4818*3
-58.4454
Work out 6249.3 * -0.1.
-624.93
What is the product of 47950 and -0.3?
-14385
Product of -282639 and 5.
-1413195
Work out 0.3 * 112.817.
33.8451
What is the product of 0.1 and -0.060332?
-0.0060332
What is the product of -69 and -1914?
132066
Work out 2501 * -3.
-7503
-5*-213
1065
-0.084032 times 1
-0.084032
Work out 0.2068 * 246.
50.8728
9*1026
9234
-2.3 * -4103
9436.9
What is 1801683 times 4?
7206732
Multiply 43.862 and -0.1.
-4.3862
Work out -0.06 * -1545.2.
92.712
1490.347 * -5
-7451.735
1.17624*-0.4
-0.470496
Calculate 2.8*7.273.
20.3644
-0.22 times -0.7975
0.17545
Work out -1065 * -4.
4260
0.03 times -338102
-10143.06
Work out 10.7 * -451.
-4825.7
1038 times -936
-971568
-275 * 0.584
-160.6
-12.15 * 0.006
-0.0729
Product of 1 and -2680.
-2680
853785*-0.1
-85378.5
What is the product of 0.6279 and -2?
-1.2558
What is the product of -5 and -27251?
136255
-0.042 * 843
-35.406
Calculate 36.9*82.
3025.8
0.163*149.32
24.33916
What is the product of 0.24 and -4126?
-990.24
Multiply -0.208 and -0.2821.
0.0586768
7.77*-9
-69.93
Calculate -3382*0.51.
-1724.82
Calculate -45*-130.
5850
Product of 206 and -27724.
-5711144
Multiply -2302 and 108.
-248616
Product of -2 and 14570.
-29140
Work out 0.3 * 0.58981.
0.176943
0.02 times -0.77984
-0.0155968
-1.97*-0.21
0.4137
2 * -71847
-143694
18 * -4515
-81270
Work out -0.51 * 82.
-41.82
Calculate -122352*-14.
1712928
-4 times 125.77
-503.08
-0.17 times -1813.2
308.244
-0.4 * 132766.8
-53106.72
Product of 1.9 and 43.1.
81.89
28 times -7262
-203336
Multiply -25.32 and -0.113.
2.86116
347 times -14780
-5128660
What is the product of -1.3 and 277.4?
-360.62
446046 * -0.1
-44604.6
Work out 37 * -0.03741.
-1.38417
Calculate 0.1*-144.403.
-14.4403
What is the product of -3278 and 7.3?
-23929.4
Work out -28.82 * 43.
-1239.26
Product of 4 and 63389.
253556
-138*0.187
-25.806
What is -0.01 times -368005?
3680.05
Product of 0.2 and 1144.9.
228.98
What is 476 times -359?
-170884
0.202 times 11993
2422.586
What is the product of -47120 and -0.5?
23560
Calculate 0*-15.5919.
0
Work out 0.06168 * -0.27.
-0.0166536
15418 * 0.06
925.08
1.1145*5.3
5.90685
Multiply -0.4 and -1896.
758.4
Product of 129 and -955.
-123195
What is 0.50886 times 33?
16.79238
What is the product of 13.16 and 7?
92.12
What is the product of -0.0301 and 7.4?
-0.22274
580 times -26
-15080
79.6 times 1.228
97.7488
Product of -0.24 and -41.95.
10.068
0.02973528 * -4
-0.11894112
0.123983 times -1
-0.123983
Multiply -667 and -0.032.
21.344
641 * 222
142302
-4 * 4558
-18232
Multiply 5287 and -4.
-21148
2180 times 141
307380
Product of 54288.22 and 1.
54288.22
Multiply -0.07 and -15873.
1111.11
-13.914 * -7
97.398
Calculate 1.8983*1.1.
2.08813
Multiply 3 and -0.052906.
-0.158718
What is the product of -1 and -203591?
203591
5066.348 times 0.5
2533.174
What is -8 times 64791?
-518328
What is 465134 times -5?
-2325670
Product of 4 and -208912.
-835648
Calculate 78.58*-4.
-314.32
What is the product of -2 and 3.3831?
-6.7662
What is -4 times -9.162?
36.648
Work out 0.8 * -59.412.
-47.5296
Work out 0.43 * 154.
66.22
229.8 * 0.03
6.894
Work out -8.1271 * -4.
32.5084
What is the product of -0.04 and 27249?
-1089.96
2.5021*-0.07
-0.175147
-31301 * -2.7
84512.7
Work out 16 * 0.48851.
7.81616
Calculate -0.3*-123.81.
37.143
Work out 23.3 * 3664.
85371.2
What is 4 times 1036.32?
4145.28
Multiply -36812 and -4.
147248
7*-3.1844
-22.2908
-12572 times 17
-213724
What is the product of 0.0492763 and 3?
0.1478289
What is 1 times -0.80353?
-0.80353
10 * -4359
-43590
-229 * 2314.6
-530043.4
Work out -0.091 * -12.9.
1.1739
Calculate -0.27962*3.
-0.83886
What is 40.1 times 0.049?
1.9649
-0.9715*0.281
-0.2729915
What is the product of 0.0836 and -6.22?
-0.519992
-0.11 * 35
-3.85
Work out 0.2 * 10237.
2047.4
Product of -5 and 0.1497824.
-0.748912
Work out 0.02731 * -23.
-0.62813
Multiply 16751 and -4.
-67004
Product of -37.549 and 11.
-413.039
-2.1 * -247
518.7
Product of -11.5291 and -0.2.
2.30582
Work out 21.193 * -1.
-21.193
What is the product of 34 and -86250?
-2932500
1 * 0.517152
0.517152
What is the product of -637.9 and -5?
3189.5
1.87 * -33
-61.71
2113.82 times -10
-21138.2
Calculate 23588*-0.3.
-7076.4
Product of -0.19 and 1.013.
-0.19247
Calculate -51.44*1.7.
-87.448
Work out -0.4 * 94.51.
-37.804
Calculate -3*-16354.
49062
3.1 * -3369.3
-10444.83
-9 * -0.11477
1.03293
1.727 times -41
-70.807
Work out -0.2885 * -0.23.
0.066355
Multiply -21 and 978.
-20538
-0.08 * -0.9651
0.077208
What is the product of -13.72 and -4.5?
61.74
Product of 7 and 0.4395.
3.0765
Multiply -196 and 4.164.
-816.144
11134*-0.48
-5344.32
-1 times -21215
21215
1.441 * 360
518.76
Work out -2 * 20794.
-41588
Product of 483.9 and -0.9.
-435.51
Multiply -24 and 745.7.
-17896.8
-20463 * -7
143241
485.2 * 9
4366.8
-0.2 times 281
-56.2
Product of -4528.8 and -1.
4528.8
What is the product of -4833.7 and 3.8?
-18368.06
-0.1*-4.754
0.4754
9634.5 times -0.4
-3853.8
Product of -0.1556 and -42.
6.5352
Calculate 0.361*-6.4.
-2.3104
39328 times 3.6
141580.8
-0.15 * 2622
-393.3
16.8*-1178
-19790.4
Calculate -0.03*-15.7.
0.471
What is the product of 11 and 1.4343?
15.7773
Multiply 1.27 and -227.
-288.29
-0.936*-0.2303
0.2155608
Product of 14.19283 and 4.
56.77132
What is -0.1 times 0.221697?
-0.0221697
What is 1427865 times -1?
-1427865
Multiply -7 and 430.5.
-3013.5
4.3 * 7456
32060.8
Product of 11 and 1720.7.
18927.7
Calculate -1.49*-618.
920.82
Product of 127043 and -0.1.
-12704.3
Product of -545 and -539.
293755
-4294*-0.2
858.8
330 times -7189
-2372370
-135*-4673
630855
Work out 5 * -10662.5.
-53312.5
What is -0.5 times -1568.4?
784.2
80*-1103
-88240
1539.6 * -14
-21554.4
What is -0.76 times -0.0083?
0.006308
What is the product of 17 and 60204?
1023468
What is the product of -0.1 and -11898?
1189.8
3.574 times 5.76
20.58624
What is the product of 0.2781 and 0.322?
0.0895482
Calculate -6*-10199.
61194
Calculate 0.0210789*8.
0.1686312
Work out 4 * -11965
|
{
"pile_set_name": "DM Mathematics"
}
|
-1. Find the first derivative of f**q - 3 + 3 - 2 wrt f.
2*f
Suppose 2*p - 2*a - 4 = 0, 0*a = -2*p - 5*a + 4. Differentiate -4*k**2 + 1 + 0 + 0*k**p - 6 wrt k.
-8*k
Let w = 0 - -4. Let b(c) = 3*c**2 + 1. Let y(t) = -16*t**2 - 5. Let s(k) = w*y(k) + 22*b(k). Differentiate s(r) wrt r.
4*r
Let k(m) be the first derivative of m**7/420 + m**6/360 - 2*m**3/3 + 1. Let d(a) be the third derivative of k(a). Find the third derivative of d(j) wrt j.
12
Let n(g) be the second derivative of -g**5/20 + 23*g**4/12 + g**3/6 + 4*g**2 + 17*g. Find the second derivative of n(m) wrt m.
-6*m + 46
Let i(l) be the third derivative of -l**7/42 + l**5/12 - 5*l**2. Find the third derivative of i(v) wrt v.
-120*v
What is the third derivative of y**5 - 8*y**2 + y**5 + 5*y**5 wrt y?
420*y**2
Let s(k) be the second derivative of -k**5/4 + 7*k**3/6 - 5*k. Find the second derivative of s(j) wrt j.
-30*j
What is the derivative of 3*b**3 + 27 - 78 - 54*b**3 wrt b?
-153*b**2
Suppose -b + 3 = -7. What is the derivative of 0*c**2 + 11 + 5*c**3 - b + 0*c**2 wrt c?
15*c**2
Suppose 0 = -5*p - 4 + 14. What is the derivative of -m**p - 1 - m**2 + m**2 - 6*m**2 wrt m?
-14*m
Let b(z) be the third derivative of -4*z**7/105 + z**5/15 - 5*z**2. Find the third derivative of b(x) wrt x.
-192*x
What is the second derivative of -13*t + 2*t - 3*t**2 + t + 10*t**2 wrt t?
14
Let p(m) be the second derivative of -m**10/2520 + m**6/36 + m**3 - 3*m. Let y(b) be the second derivative of p(b). Find the third derivative of y(c) wrt c.
-240*c**3
Let m(d) be the second derivative of -d**5/15 - 5*d**4/24 + d**2/2 + d. Let j(g) be the first derivative of m(g). Find the second derivative of j(u) wrt u.
-8
Let o(r) be the third derivative of r**9/30240 + r**7/2520 + r**5/60 + r**2. Let k(h) be the third derivative of o(h). Find the second derivative of k(c) wrt c.
12*c
Let g(h) be the second derivative of 1/6*h**3 + 0*h**4 + 1/21*h**7 - 2*h + 0*h**2 + 0*h**5 + 0 + 0*h**6. What is the second derivative of g(n) wrt n?
40*n**3
Let b be 2 + 1 + 0/(-5). What is the second derivative of -2*x**4 - 2*x**2 + b*x**4 - 2*x + 2*x**2 wrt x?
12*x**2
Let l(w) be the second derivative of -w**5/10 + w**4/4 + w**3/3 - 3*w. Let r(k) = k**2. Let f(j) = -l(j) + 3*r(j). Find the second derivative of f(z) wrt z.
12*z
Let v(g) = g**2 - 2*g - 5. Let n be v(4). What is the third derivative of 0*z**2 + z**n + 0*z**2 + 3*z**2 - 3*z**3 wrt z?
-12
What is the third derivative of 22*f**5 - 23 - f**2 - 44 - 72*f**5 + 10 wrt f?
-3000*f**2
Let q(b) = -b**4 + 4*b**3 - b + 4. Let a = -3 - -2. Let r(x) = -x**3 - 1. Let s(o) = a*q(o) - 4*r(o). What is the second derivative of s(g) wrt g?
12*g**2
Let x(c) = -c**2 - 10*c + 4. Suppose 2*j - 1 = -21. Let h be x(j). What is the second derivative of 13*i - 3*i - 3*i**h - 6*i wrt i?
-36*i**2
Let b(d) = -d**3 - 6*d**2 + 6. Let q be b(-6). Let g be (1*-3)/((-9)/q). What is the second derivative of 0*x + 3*x**5 + 4*x - g*x wrt x?
60*x**3
Find the third derivative of 0*f**4 - 2*f**4 + 33*f**2 + 10*f**4 wrt f.
192*f
Let z(t) be the third derivative of -13*t**6/40 - 2*t**5/3 - 26*t**2. What is the third derivative of z(f) wrt f?
-234
Let w(p) = -9*p**3 + 3*p. Let k(x) = -13*x**3 + 4*x. Let d(q) = -5*k(q) + 7*w(q). What is the second derivative of d(y) wrt y?
12*y
Differentiate -564*c - 16*c**3 - 10 + 564*c wrt c.
-48*c**2
Let s be (20/8)/(2/4). Suppose s*j - 3 = -w, w + 4*j + 3 = 2*w. Find the first derivative of 2*y**2 - w*y**2 + 3 + 0 + 3*y**2 wrt y.
4*y
Let v be 19/7 - 8/(-28). Suppose -v*t + 0 = -6. What is the third derivative of k**5 + 3*k**t + k**5 - 6*k**2 wrt k?
120*k**2
Let k(x) = x**2 + 3*x - 4. Let y be k(-4). Suppose -5*w - 2*u + 2 = 0, -2*w + 5*u + 18 = -3*w. What is the first derivative of -4*m + y*m + w*m - 2 wrt m?
-2
Suppose 3*u = -u + 12. What is the second derivative of -5*w + 2*w + 2*w**u + 0*w**3 wrt w?
12*w
Let m(x) be the third derivative of 7*x**2 + 0*x**6 + 0*x + 0*x**7 + 0*x**4 + 2/15*x**5 + 0*x**3 + 0 - 1/112*x**8. What is the third derivative of m(k) wrt k?
-180*k**2
Let f(l) = -l**3 - l + 1. Let h(w) = -3*w**2 + w - 1. Let q(i) = 2*f(i) + 2*h(i). What is the third derivative of q(t) wrt t?
-12
Suppose x + 3*x = 8. What is the second derivative of -3*s**3 - 2*s - x*s**3 - s wrt s?
-30*s
Let t(h) = -5*h + 2. Let o(r) = -11*r + 5. Let z(n) = 4*o(n) - 9*t(n). What is the derivative of z(s) wrt s?
1
Let r(m) = -10*m**5 + 4*m**4 + 4*m**3 + 5*m. Let c(k) = -9*k**5 + 5*k**4 + 5*k**3 + 4*k. Let v(h) = -4*c(h) + 5*r(h). Find the second derivative of v(o) wrt o.
-280*o**3
Let c(j) = 2*j**2 - 3*j - 4. Let o be c(3). Find the second derivative of -6*i**o - 9*i - 2*i**5 + 10*i wrt i.
-160*i**3
Let j(u) = -u**3 + u**2 - 1. Let k(p) = 24*p**3 + 4*p**2 - 6*p - 4. Let c(d) = -4*j(d) + k(d). What is the second derivative of c(o) wrt o?
168*o
Suppose -2*j = -10 + 4. Let n be (-1 + 0)*(3 + -8). What is the second derivative of -3*g**n - 2*g + g**5 + j*g wrt g?
-40*g**3
Find the third derivative of -a**5 - 2*a**5 + 108*a**2 - 89*a**2 wrt a.
-180*a**2
What is the third derivative of -588 + 12*p**4 + 18*p**2 + 588 wrt p?
288*p
Let j(m) be the third derivative of -7/6*m**3 + 0*m**6 - 1/105*m**7 + 0*m + 0*m**4 + 0 - 3*m**2 + 0*m**5. Find the first derivative of j(i) wrt i.
-8*i**3
Let g(d) be the second derivative of -2*d**8/7 + 5*d**4/4 - 8*d. What is the third derivative of g(o) wrt o?
-1920*o**3
Let m(q) be the first derivative of 3/2*q**2 + 0*q + q**3 - 4. Find the second derivative of m(v) wrt v.
6
What is the third derivative of 5*a**2 + 7*a - 7*a - 4*a**2 - a**3 wrt a?
-6
Let y(j) = -63*j - 45. Let a(h) = -32*h - 23. Let t(g) = 9*a(g) - 5*y(g). Find the first derivative of t(o) wrt o.
27
Suppose 3*s - 11 = 4. Find the third derivative of -3*a**2 + 2*a**4 - 2 - 3 + s wrt a.
48*a
Let n(x) = -x**3 + 9*x**2 - 7*x - 8. Let q be n(8). Differentiate 1 + q*o**2 + o**2 - 4*o**2 wrt o.
-6*o
Let k(s) = 2 + 1 - 1 - 3*s. Let d(z) = -z**2 + 12*z - 9. Suppose -2*f + 7*f = 10. Let p(w) = f*d(w) + 9*k(w). What is the second derivative of p(m) wrt m?
-4
Let k(m) = -14*m - 3. Let d = -9 - -3. Let h(l) = -27*l - 5. Let q(z) = d*h(z) + 11*k(z). Find the first derivative of q(w) wrt w.
8
Suppose 2*i = n - 10 + 1, -27 = -4*n + 5*i. Differentiate -2*p - 2*p - n + 0*p with respect to p.
-4
Suppose 0 = 5*t - 0*a - 2*a - 27, 4*t + 3*a - 17 = 0. Suppose 0 = -h + t - 3. Find the third derivative of 4*b**3 - b**h + 2*b**3 - 3*b**3 wrt b.
18
Let l(i) = i**2 - 4*i + 4. Let a be l(4). Find the second derivative of 0*n**a + 0*n**4 - n**5 - 2*n wrt n.
-20*n**3
Suppose 0 = 3*d - 3 - 6. Let w = -1 + d. What is the derivative of -u**2 - 7 + w + 2 wrt u?
-2*u
Let n(i) be the third derivative of i**7/21 - i**5/12 + 11*i**2. Find the third derivative of n(y) wrt y.
240*y
What is the second derivative of -44*q + 50*q + q**2 - q**2 - 25*q**5 wrt q?
-500*q**3
Let l(f) = 2*f**3 - 5*f**2 - 14*f - 5. Let n(v) = 2*v**3 - 6*v**2 - 15*v - 6. Let b(k) = 6*l(k) - 5*n(k). Find the second derivative of b(p) wrt p.
12*p
Let t(u) be the third derivative of -u**10/75600 + u**6/180 - u**5/15 + 3*u**2. Let l(c) be the third derivative of t(c). Differentiate l(z) wrt z.
-8*z**3
Suppose -3*z - 2*z - 20 = 0, -4*x + z = -28. Suppose 5*j = 26 - x. What is the second derivative of 0*i**2 - 4*i**2 + i - j*i wrt i?
-8
Let c(u) be the first derivative of -2*u**7/21 + u**4/3 + 3*u + 3. Let n(i) be the first derivative of c(i). Find the third derivative of n(o) wrt o.
-240*o**2
Suppose -2*b = 2*b - 16. Find the first derivative of 5 + b - 3 - 1 - 5*t**2 wrt t.
-10*t
Let b(p) = -6*p**3 + 15*p**2 + 7*p + 7. Let l(t) = -3*t**3 + 8*t**2 + 4*t + 4. Let o(h) = 4*b(h) - 7*l(h). Find the third derivative of o(w) wrt w.
-18
Suppose 7*f - 3 = 6*f. Let n(h) be the second derivative of 2*h + 0 - 1/2*h**2 - 1/2*h**f. Find the first derivative of n(r) wrt r.
-3
Let i(j) be the second derivative of 0 + 1/2*j**3 - j**2 + 0*j**4 + 1/60*j**5 - j. Let h(x) be the first derivative of i(x). Differentiate h(z) wrt z.
2*z
Let g(l) = 2*l**2 + 5. Let f be (-4)/2*(1 + 1). Let t(d) = d**2 + 3. Let m(c) = f*g(c) + 7*t(c). Differentiate m(o) with respect to o.
-2*o
Differentiate x + 2*x + 1 - 5*x wrt x.
-2
Let m(u) = u**3 - u**2 - u - 1. Let q(y) = -18*y**3 + 2*y**2 + 11*y + 2. Let t(a) =
|
{
"pile_set_name": "DM Mathematics"
}
|
ter 3:52 PM?
4:06 PM
What is 52 minutes after 9:54 AM?
10:46 AM
How many minutes are there between 11:22 AM and 9:06 PM?
584
How many minutes are there between 9:52 PM and 2:16 AM?
264
What is 517 minutes after 5:00 AM?
1:37 PM
How many minutes are there between 11:16 AM and 4:21 PM?
305
How many minutes are there between 5:52 AM and 9:56 AM?
244
What is 145 minutes after 3:47 AM?
6:12 AM
What is 700 minutes after 7:27 AM?
7:07 PM
How many minutes are there between 11:59 AM and 7:32 PM?
453
What is 432 minutes after 11:15 PM?
6:27 AM
How many minutes are there between 10:30 PM and 10:49 PM?
19
What is 111 minutes before 9:29 PM?
7:38 PM
What is 121 minutes after 12:37 AM?
2:38 AM
What is 223 minutes after 4:29 PM?
8:12 PM
What is 89 minutes after 5:50 PM?
7:19 PM
How many minutes are there between 2:01 PM and 5:58 PM?
237
What is 549 minutes before 11:33 AM?
2:24 AM
What is 405 minutes after 1:32 AM?
8:17 AM
How many minutes are there between 10:50 PM and 11:01 PM?
11
How many minutes are there between 11:47 PM and 4:57 AM?
310
What is 406 minutes before 8:12 PM?
1:26 PM
What is 237 minutes after 12:41 PM?
4:38 PM
What is 184 minutes before 5:57 PM?
2:53 PM
What is 496 minutes after 9:21 AM?
5:37 PM
What is 699 minutes after 9:49 PM?
9:28 AM
How many minutes are there between 5:12 AM and 12:46 PM?
454
What is 184 minutes before 4:16 AM?
1:12 AM
How many minutes are there between 6:45 AM and 5:31 PM?
646
What is 211 minutes after 9:24 PM?
12:55 AM
What is 154 minutes after 8:01 AM?
10:35 AM
How many minutes are there between 2:43 PM and 2:23 AM?
700
How many minutes are there between 1:35 AM and 2:00 AM?
25
How many minutes are there between 3:24 PM and 10:36 PM?
432
How many minutes are there between 12:48 PM and 2:35 PM?
107
How many minutes are there between 7:59 AM and 8:05 AM?
6
What is 39 minutes after 11:11 PM?
11:50 PM
What is 418 minutes before 7:09 AM?
12:11 AM
How many minutes are there between 9:09 PM and 8:57 AM?
708
What is 705 minutes before 3:40 AM?
3:55 PM
What is 386 minutes before 8:41 AM?
2:15 AM
How many minutes are there between 12:02 PM and 9:34 PM?
572
How many minutes are there between 11:18 AM and 3:38 PM?
260
What is 557 minutes after 8:46 AM?
6:03 PM
What is 231 minutes after 1:55 PM?
5:46 PM
What is 27 minutes before 11:54 PM?
11:27 PM
What is 543 minutes after 2:30 AM?
11:33 AM
What is 474 minutes before 8:56 AM?
1:02 AM
How many minutes are there between 7:50 AM and 10:06 AM?
136
What is 328 minutes after 4:10 PM?
9:38 PM
What is 547 minutes before 4:26 PM?
7:19 AM
How many minutes are there between 7:08 AM and 3:09 PM?
481
What is 704 minutes before 10:54 PM?
11:10 AM
What is 367 minutes before 4:37 AM?
10:30 PM
What is 463 minutes after 8:27 AM?
4:10 PM
What is 194 minutes after 4:00 AM?
7:14 AM
How many minutes are there between 11:13 AM and 8:16 PM?
543
What is 265 minutes before 2:15 AM?
9:50 PM
How many minutes are there between 7:22 AM and 1:35 PM?
373
What is 51 minutes before 2:50 AM?
1:59 AM
What is 681 minutes before 4:11 AM?
4:50 PM
How many minutes are there between 12:43 AM and 8:20 AM?
457
How many minutes are there between 2:16 PM and 5:53 PM?
217
How many minutes are there between 6:54 PM and 11:06 PM?
252
What is 236 minutes before 9:26 AM?
5:30 AM
What is 104 minutes before 7:05 PM?
5:21 PM
What is 123 minutes before 12:36 AM?
10:33 PM
What is 303 minutes after 3:36 PM?
8:39 PM
What is 420 minutes before 7:39 AM?
12:39 AM
How many minutes are there between 1:19 AM and 12:51 PM?
692
How many minutes are there between 8:22 AM and 6:05 PM?
583
What is 543 minutes after 3:15 PM?
12:18 AM
What is 570 minutes after 3:54 AM?
1:24 PM
What is 443 minutes after 8:49 AM?
4:12 PM
What is 462 minutes after 2:05 PM?
9:47 PM
What is 170 minutes after 4:47 AM?
7:37 AM
How many minutes are there between 4:51 PM and 8:20 PM?
209
What is 502 minutes after 4:44 PM?
1:06 AM
How many minutes are there between 9:03 PM and 2:01 AM?
298
What is 456 minutes before 3:23 AM?
7:47 PM
How many minutes are there between 10:49 AM and 9:54 PM?
665
How many minutes are there between 5:45 PM and 11:27 PM?
342
What is 90 minutes before 11:39 PM?
10:09 PM
What is 419 minutes before 4:59 AM?
10:00 PM
What is 581 minutes after 3:30 AM?
1:11 PM
How many minutes are there between 5:57 AM and 2:07 PM?
490
What is 421 minutes after 10:40 AM?
5:41 PM
What is 595 minutes after 2:15 PM?
12:10 AM
What is 462 minutes after 11:35 AM?
7:17 PM
How many minutes are there between 4:28 AM and 7:19 AM?
171
What is 82 minutes before 6:01 PM?
4:39 PM
What is 472 minutes before 2:59 AM?
7:07 PM
What is 453 minutes after 6:37 AM?
2:10 PM
What is 672 minutes before 6:52 PM?
7:40 AM
How many minutes are there between 4:45 PM and 6:40 PM?
115
How many minutes are there between 8:50 PM and 2:57 AM?
367
How many minutes are there between 8:11 AM and 8:05 PM?
714
How many minutes are there between 12:31 PM and 7:43 PM?
432
How many minutes are there between 9:11 PM and 6:39 AM?
568
How many minutes are there between 7:30 PM and 7:44 PM?
14
What is 167 minutes after 2:49 AM?
5:36 AM
What is 706 minutes before 3:46 PM?
4:00 AM
How many minutes are there between 9:24 PM and 10:52 PM?
88
How many minutes are there between 1:45 AM and 4:04 AM?
139
What is 560 minutes before 9:06 PM?
11:46 AM
How many minutes are there between 7:08 AM and 10:19 AM?
191
What is 394 minutes before 8:52 PM?
2:18 PM
What is 402 minutes before 8:53 AM?
2:11 AM
What is 317 minutes after 9:38 PM?
2:55 AM
How many minutes are there between 1:07 AM and 7:53 AM?
406
How many minutes are there between 11:59 PM and 6:58 AM?
419
What is 496 minutes before 7:20 PM?
11:04 AM
How many minutes are there between 9:47 AM and 10:40 AM?
53
How many minutes are there between 4:53 PM and 1:52 AM?
539
What is 481 minutes after 10:21 PM?
6:22 AM
What is 708 minutes before 8:59 PM?
9:11 AM
How many minutes are there between 3:50 AM and 2:01 PM?
611
How many minutes are there between 4:41 AM and 1:57 PM?
556
How many minutes are there between 8:23 PM and 11:37 PM?
194
What is 682 minutes before 3:19 PM?
3:57 AM
What is 303 minutes after 4:20 AM?
9:23 AM
What is 647 minutes after 3:48 PM?
2:35 AM
What is 419 minutes before 10:50 PM?
3:51 PM
How many minutes are there between 7:59 PM and 5:31 AM?
572
How many minutes are there between 7:18 AM and 2:27 PM?
429
How many minutes are there between 2:14 PM and 8:41 PM?
387
What is 539 minutes after 8:13 AM?
5:12 PM
What is 44 minutes before 11:25 AM?
10:41 AM
How many minutes are there between 2:35 PM and 4:50 PM?
135
How many minutes are there between 8:44 PM and 5:47 AM?
543
What is 264 minutes after 2:16 AM?
6:40 AM
How many minutes are there between 2:15 AM and 10:49 AM?
514
How many minutes are there between 10:48 AM and 12:19 PM?
91
What is 399 minutes before 5:25 AM?
10:46 PM
What is 662 minutes after 5:55 PM?
4:57 AM
How many minutes are there between 11:41 PM and 5:35 AM?
354
How many minutes are there between 3:09 AM and 7:20 AM?
251
What is 439 minutes before 9:41 PM?
2:22 PM
What is 705 minutes before 9:22 AM?
9:37 PM
How many minutes are there between 12:49 PM and 7:29 PM?
400
How many minutes are there between 4:34 AM and 7:10 AM?
156
What is 588 minutes after 4:26 AM?
2:14 PM
How many minutes are there between 12:13 PM and 5:06 PM?
293
How many minutes are there between 7:50 PM and 7:12 AM?
682
What is 292 minutes before 8:25 PM?
3:33 PM
How many minutes are there between 2:17 AM and 2:56 AM?
39
How many minutes are there between 9:38 PM and 10:29 PM?
51
What is 353 minutes before 10:59 AM?
5:06 AM
What is 154 minutes before 4:05 PM?
1:31 PM
How many minutes are there between 6:43 PM and 4:35 AM?
592
How many minutes are there between 5:51 AM and 2:31 PM?
520
How many minutes are there between 9:36 PM and 3:50 AM?
374
What is 156 minutes before 8:20 AM?
5:44 AM
What is 277 minutes before 9:14 PM?
4:37 PM
How many minutes are there between 6:32 PM and 11:54 PM?
322
How many minutes are there between 10:09 AM and 1:13 PM?
184
How many minutes are there between 9:16 AM and 9:41 AM?
25
What is 6 minutes after 8:04 PM?
8:10 PM
How many minutes are there between 5:16 PM and 8:07 PM?
171
How many minutes are there between 6:20 PM and 5:52 AM?
692
What
|
{
"pile_set_name": "DM Mathematics"
}
|
*m**(-4/17)*m*((m/(m*m**8/m))/m*m)/m*m) assuming m is positive.
m**(-74/119)
Simplify (g**(20/7))**(-1/12)/(g/(g**(-3/10)*g))**(-28/5) assuming g is positive.
g**(757/525)
Simplify k**24*k*k*k*(k*k**(-11))/k*(k*k**(-21)*k)**(-1/59) assuming k is positive.
k**(963/59)
Simplify (((f/(((f/((f/(f/f**(-9/2)))/f))/f)/f))/(f**(-1/3)*f))**38)**(-1/29) assuming f is positive.
f**(475/87)
Simplify (h*h**2*h)/h**(-4/9)*(h**(-17)*h)/(h**(1/31)/h) assuming h is positive.
h**(-2954/279)
Simplify ((n/(n*n**0*n)*n)/n)**(1/32)/(n/n**7*n*n/n**(2/5)) assuming n is positive.
n**(699/160)
Simplify w*w**(2/11)*w**(5/7)/w*(w/(w*w**(6/5)))/w*(w/((w*w/(w/(w**5/w)*w))/w))/w assuming w is positive.
w**(-1657/385)
Simplify (t**9*t*(t/(t*t**(-8)))/t)/((((t**(-1/8)*t)/t)/t)/t*t)**(2/25) assuming t is positive.
t**(1709/100)
Simplify (j/((j*(j/j**(3/13)*j)/j)/j))/(j*j**(-3/4))*(j**(4/9)/j*j)/j*j/j**10 assuming j is positive.
j**(-4481/468)
Simplify r**(8/11)*r**8/r*(r**(-3/2))**(-36) assuming r is positive.
r**(679/11)
Simplify (k*k*k**2)**(-2/17)/(k**(-1))**13 assuming k is positive.
k**(213/17)
Simplify ((n*n*(n**(1/7)*n)/n*n)/(n*n**(-2/11)))/((n*n**(-1/6)*n)/(n/n**(-1/8)*n*n)) assuming n is positive.
n**(6683/1848)
Simplify (s**(-1/6)*s/(s*(s/((s/((s*s/((s**(-1/5)*s)/s))/s))/s*s))/s)*(s**3)**(-27))**(-2/81) assuming s is positive.
s**(2441/1215)
Simplify ((((i*i*i**(3/4))/i)/i)/i**(9/7))**13 assuming i is positive.
i**(-195/28)
Simplify n**(-7/4)/n**7*(n**(2/9))**(-11/6) assuming n is positive.
n**(-989/108)
Simplify (y*y**7*y*y*y*y*y)**(-5/13)/(y*y**(-1/5)/y*y)**34 assuming y is positive.
y**(-161/5)
Simplify s**(-1/14)/(s**11*s)*(s/(s/(s*s*(s*s**(-1/4)/s)/s)*s)*s)/s**15 assuming s is positive.
s**(-737/28)
Simplify (d**(1/6)/d)**(-23)*(d*d**(-5)*d)**47 assuming d is positive.
d**(-731/6)
Simplify i**6/(i**19/i)*i**(-7)/((i**(-1/2)/i)/i) assuming i is positive.
i**(-33/2)
Simplify (t**2*t*t*t**(-3/4)*t*t*t*(t/(t/((t*(t*t**(-2/3))/t*t)/t)))/t*t**(2/9))**(3/10) assuming t is positive.
t**(209/120)
Simplify (n/((n/n**16)/n))**(-6/17)/((n*(n**(-1/24)/n)/n)/n*n/(n*n**17*n)*n) assuming n is positive.
n**(313/24)
Simplify (x/x**10)**(-16/7)/(x**(3/8)*x)**(2/19) assuming x is positive.
x**(10867/532)
Simplify ((t*t**6/t)/t*t*t*t*t/(t/t**6))**31 assuming t is positive.
t**434
Simplify (m*m**(-9/7))/(m**(-22)*m)*m**(10/9)/(m/((m**(-2/21)*m)/m)) assuming m is positive.
m**(1306/63)
Simplify ((l*l**(23/3)*l)/l*l**(-1))/(l**(-2/77)*l**(4/15)/l) assuming l is positive.
l**(3244/385)
Simplify p**(4/7)*p/p**6*(p/(p*p**(-9)/p))**(3/20) assuming p is positive.
p**(-41/14)
Simplify ((a/a**(-2/7))**(-27)/(a**(4/7)*a**(-1/4)))**36 assuming a is positive.
a**(-8829/7)
Simplify (n*n**22*n*n/(n**23/n))/(n*n**(19/4))**(1/5) assuming n is positive.
n**(37/20)
Simplify (a*a*a**(-14))/a*a**(11/3)*(a/((a**(-2/5)*a*a)/a))**(11/5) assuming a is positive.
a**(-634/75)
Simplify f**32/f*f*f*f**(4/9)*f*(f/(f**(2/13)/f*f))/(f*(f*(f**(-7)*f)/f)/f) assuming f is positive.
f**(4831/117)
Simplify (q**(-4/9)*q**(-1/4))/(q**27*q**13*q) assuming q is positive.
q**(-1501/36)
Simplify (r**(2/45))**(2/67)/((r/(r*r/(r/(r*(r*r/r**(-1/14))/r))))/(r/r**1)) assuming r is positive.
r**(87491/42210)
Simplify (x/((x**32*x)/x*x)*x/(((((x/((x*x/((x/x**(-12/13)*x)/x))/x))/x)/x)/x*x)/x))**(3/8) assuming x is positive.
x**(-1167/104)
Simplify ((t/t**(-1/5))/t*t**19/t*t)/((t*t*t**(-3/4)*t)/t*t)**(2/13) assuming t is positive.
t**(2451/130)
Simplify ((m/(m/(m*m**(23/2)*m*m)))**(1/5))**(15/4) assuming m is positive.
m**(87/8)
Simplify (h**(-4/13)/(h**(-21/4)/h))/((h/h**(-6/11))/(((h/((h/(h**(-7)*h*h*h))/h))/h)/h)) assuming h is positive.
h**(-345/572)
Simplify ((p*p**(2/5))/p*(p*p*p**(1/3))/p)/((p/(p/p**(-11)*p))/((p**(-1/30)*p*p)/p)) assuming p is positive.
p**(147/10)
Simplify (g**12/g**7)/(g*g*g*g**(1/2))**(1/10) assuming g is positive.
g**(93/20)
Simplify ((r**(-2/95)*r)/r*r*r*r**28*r*r)**(-11/3) assuming r is positive.
r**(-33418/285)
Simplify z**16/z**(-7)*z**(-3/13)/((z/z**(-9/4))/z) assuming z is positive.
z**(1067/52)
Simplify ((k**(-3/4)*k*((k/(k**(-1)/k))/k)/k)/(k**(-8)/k**(-2/5)))**(-10) assuming k is positive.
k**(-177/2)
Simplify ((a*a**(2/7)*a)**(-10)/(a/(a/a**0))**5)**30 assuming a is positive.
a**(-4800/7)
Simplify ((w**(-6)/w)/(w/(w/((w**(-3/2)/w)/w))))/((w**(5/4)/w*w*w)/((w/(w**(2/9)/w))/w)) assuming w is positive.
w**(-179/36)
Simplify m**(1/10)*m*m**(1/28)*m*m**(-3/2)/m*m*(((m/m**(1/19))/m)/m)/m assuming m is positive.
m**(-3769/2660)
Simplify (p/(p**(-1/16)*p))**(4/7)/(p**(2/21))**(2/59) assuming p is positive.
p**(23/708)
Simplify (n**(1/4)/(((n*n*n/(n**(-5)*n))/n*n)/n)*n/n**(-1)*n/(n*n**3))**(-2/49) assuming n is positive.
n**(27/98)
Simplify (c**(2/3)*c**(2/9))/((c/c**(2/11))/((c*c*((c*c**9)/c)/c*c)/c)) assuming c is positive.
c**(997/99)
Simplify (r**14/(r/((r**(-1/33)/r)/r)))/(r*r/(r/r**(-2))*r)**(11/3) assuming r is positive.
r**(362/33)
Simplify ((q*q**(-4/3)*q/(q/q**(-2/19)))**(-2/119))**(-12) assuming q is positive.
q**(-200/2261)
Simplify (c*c/(c/c**(-3/7)*c))**(-3/10)/(c**(1/9)*c*c*c**6*c) assuming c is positive.
c**(-5659/630)
Simplify ((j**(4/7)*j/(j/(((j/(j**(-5)/j))/j)/j)))**(-9/8))**(25/4) assuming j is positive.
j**(-8775/224)
Simplify o**(-23)*o*((o*o**4)/o)/o*(o*o**16)**(-1/2) assuming o is positive.
o**(-55/2)
Simplify (g/(g**(-9)/g)*g**(-1/12))/(g**(-3)/g*g*g*g**9*g) assuming g is positive.
g**(35/12)
Simplify ((k/k**(1/4))/k)**(4/3)/((((k**1/k)/k)/k*k)/k)**(-9/7) assuming k is positive.
k**(-61/21)
Simplify (t**(-1)/t)**(-31)*t/t**(5/2)*t**(15/2) assuming t is positive.
t**68
Simplify a/(a*a/a**(-13/2))*a*a**(18/11)*a/(a*a**(-2/11)*a*a*a)*((a*a/(a**(10/11)*a))/a)/a assuming a is positive.
a**(-211/22)
Simplify (x*x**(-2)/x*x*x**(-3)*x)/((x**(-9)/x)/x**6) assuming x is positive.
x**13
Simplify (s/s**(1/9)*s/(s/s**(11/5)))/(s**(2/5)*s**(2/7)) assuming s is positive.
s**(757/315)
Simplify r/(r*r**(-7/6))*r/r**11*(r/(r/r**(2/5)))**(-3/31) assuming r is positive.
r**(-8251/930)
Simplify (y/y**(-36)*y**(4/19))**(-48) assuming y is positive.
y**(-33936/19)
Simplify (m**(-3))**(-37)/(m**(-1/2)*m/(m/(m/((m*(m**(2/31)*m*m)/m)/m)))) assuming m is positive.
m**(6917/62)
Simplify (p**(1/27)/p*p*p)/(p**25*p)*(p**(2/61))**(6/11) assuming p is positive.
p**(-451930/18117)
Simplify (x**(-2/13))**25*(x**(5/2)/x)/(x**(-2/33)*x) assuming x is positive.
x**(-2819/858)
Simplify (f**0/(f*f**(1/11)))/((f*(f**(-18)*f)/f)/f**12) assuming f is positive.
f**(307/11)
Simplify ((((b*b/(b/b**(-6/11)*b*b))/b)/b*b)/b**(-7))/(b*b*b/(b/(b*b*b*b**(-4))))**(13/6) assuming b is positive.
b**(151/66)
Simplify ((c/c**2)**(-18)*(c*c*c**(-4))/((c**(2/13)/c*c*c)/c))**(17/5) assuming c is positive.
c**(3502/65)
Simplify (u**(-8)*u*u**(2/75))/(u/(u*u**(-17))*u*u*(u/(u/(u**(-16/3)/u)))/u) assuming u is positive.
u**(-466/25)
Simplify (a*a**(2/3)*a/((a*a**6)/a)*a**(1/2)*a*a*a/(a*a*a/a**0*a)*a)**(2/5) assuming a is positive.
a**(-17/15)
Simplify (n**3)**(-38)*(n*n**(-1)*n)**(-24/7) assuming n is positive.
n**(-822/7)
Simplify (w**(5/4)*w/(w**(-4/3)*w)*(w**(-1/3))**(-1/21))**(1/42) assuming w is positive.
w**(655/10584)
Simplify (q*q/(q**7/q)*q*q**(-12))/((q**(-20)/q)/((q*q**(-13))/q)) assuming q is positive.
q**(-7)
Simplify (i*i/(i**(-16/9)*i)*i)/(i*i**(1/22))*i**(2/75)*i**(-1/11)/i assuming i is positive.
i**(8257/4950)
Simplify (x**(-17))**(-7)/((x**(-36)/x*x)/x**(-17)) assuming x is positive.
x**138
Simplify ((p*p**(1/2)*p)/p)**(-4)*((p*p*p*p**(1/6))/p)**(-8/7) assuming p is positive.
p**(-178/21)
Simplify (c**(2/87)/(c**(-11)/c*c))/(c**(3/8))**(6/5) assuming c is positive.
c**(18397/1740)
Simplify (l*l/((l*l/(l/l**9))/l)*l**(2/15))/(((l/(l**(-5/4)/l))/l*l)/l*l)**(-7/10) assuming l is positive.
l**(-551/120)
Simplify (x/(x*x**(1/2))*x/x**(-2/5)*(x/x**(-9))/(x/(x/(x/(x/x**(-9/5))))))**(-10) assuming x is positive.
x**(-127)
Simplify (d*d/((d*d**(-3))/d))**(-26)*(d**0)**(4/3) assuming d is positive.
d**(-130)
Simplify ((t/(t*(t/t**(17/5))/t))/t)/((t**(2/15)/t)/t)*t/t**(-1/10)*(t*t*t**(19/3)*t)/t assuming t is positive.
t**(137/10)
Simplify ((o*o*o**(-24)*o)/o**(-35))/(o*o**(-4)*o**(3/14)) assuming o is positive.
o**(235/14)
Simplify ((d/((d*d*d**(-6)/d*d)/d)*d)/(d/(d**(-2/9)/d))*d**3*(d**(2/5)/d)/d*d)**39 assuming d is positive
|
{
"pile_set_name": "DM Mathematics"
}
|
nder when 861 is divided by 15.
6
Calculate the remainder when 8507 is divided by 185.
182
Calculate the remainder when 538 is divided by 111.
94
What is the remainder when 52 is divided by 31?
21
What is the remainder when 29 is divided by 16?
13
What is the remainder when 1490 is divided by 436?
182
What is the remainder when 370 is divided by 312?
58
What is the remainder when 875 is divided by 12?
11
Calculate the remainder when 2735 is divided by 114.
113
Calculate the remainder when 177 is divided by 56.
9
What is the remainder when 25 is divided by 10?
5
What is the remainder when 123 is divided by 7?
4
Calculate the remainder when 2134 is divided by 24.
22
Calculate the remainder when 1765 is divided by 104.
101
Calculate the remainder when 20 is divided by 12.
8
What is the remainder when 107 is divided by 27?
26
What is the remainder when 94 is divided by 93?
1
What is the remainder when 4307 is divided by 4?
3
Calculate the remainder when 794 is divided by 49.
10
What is the remainder when 868 is divided by 30?
28
Calculate the remainder when 74 is divided by 26.
22
Calculate the remainder when 3983 is divided by 75.
8
Calculate the remainder when 42954 is divided by 129.
126
What is the remainder when 382 is divided by 55?
52
What is the remainder when 66 is divided by 24?
18
What is the remainder when 248 is divided by 65?
53
What is the remainder when 888 is divided by 186?
144
Calculate the remainder when 74 is divided by 35.
4
What is the remainder when 197 is divided by 22?
21
Calculate the remainder when 45 is divided by 25.
20
Calculate the remainder when 59 is divided by 20.
19
Calculate the remainder when 740 is divided by 68.
60
What is the remainder when 3201 is divided by 1066?
3
What is the remainder when 179 is divided by 23?
18
What is the remainder when 599 is divided by 61?
50
Calculate the remainder when 173 is divided by 63.
47
What is the remainder when 1297 is divided by 372?
181
What is the remainder when 338 is divided by 10?
8
Calculate the remainder when 262 is divided by 65.
2
What is the remainder when 3238 is divided by 18?
16
Calculate the remainder when 411 is divided by 221.
190
What is the remainder when 18238 is divided by 76?
74
What is the remainder when 262 is divided by 22?
20
What is the remainder when 1889 is divided by 173?
159
What is the remainder when 7133 is divided by 2370?
23
Calculate the remainder when 203 is divided by 55.
38
What is the remainder when 357 is divided by 118?
3
Calculate the remainder when 1384 is divided by 232.
224
What is the remainder when 1368 is divided by 151?
9
What is the remainder when 23710 is divided by 76?
74
Calculate the remainder when 2145 is divided by 10.
5
Calculate the remainder when 177 is divided by 15.
12
Calculate the remainder when 644 is divided by 19.
17
What is the remainder when 4687 is divided by 34?
29
Calculate the remainder when 21 is divided by 10.
1
Calculate the remainder when 1518 is divided by 8.
6
What is the remainder when 3659 is divided by 39?
32
Calculate the remainder when 296 is divided by 42.
2
Calculate the remainder when 459 is divided by 66.
63
What is the remainder when 1131 is divided by 18?
15
Calculate the remainder when 527 is divided by 282.
245
Calculate the remainder when 227 is divided by 195.
32
Calculate the remainder when 268 is divided by 109.
50
Calculate the remainder when 930 is divided by 450.
30
Calculate the remainder when 137 is divided by 31.
13
Calculate the remainder when 1189 is divided by 594.
1
What is the remainder when 151 is divided by 17?
15
Calculate the remainder when 385 is divided by 43.
41
What is the remainder when 571 is divided by 41?
38
What is the remainder when 1210 is divided by 138?
106
What is the remainder when 372 is divided by 74?
2
What is the remainder when 312 is divided by 21?
18
Calculate the remainder when 4499 is divided by 31.
4
Calculate the remainder when 950 is divided by 87.
80
Calculate the remainder when 5271 is divided by 15.
6
Calculate the remainder when 353 is divided by 73.
61
Calculate the remainder when 52 is divided by 8.
4
What is the remainder when 192 is divided by 101?
91
What is the remainder when 150 is divided by 9?
6
What is the remainder when 863 is divided by 18?
17
What is the remainder when 97 is divided by 17?
12
Calculate the remainder when 560 is divided by 253.
54
Calculate the remainder when 1100 is divided by 544.
12
What is the remainder when 1112 is divided by 21?
20
What is the remainder when 64 is divided by 62?
2
What is the remainder when 267 is divided by 101?
65
Calculate the remainder when 1690 is divided by 188.
186
Calculate the remainder when 157 is divided by 63.
31
Calculate the remainder when 45 is divided by 41.
4
What is the remainder when 221 is divided by 8?
5
What is the remainder when 361 is divided by 180?
1
What is the remainder when 873 is divided by 51?
6
Calculate the remainder when 2979 is divided by 45.
9
Calculate the remainder when 185 is divided by 36.
5
Calculate the remainder when 561 is divided by 21.
15
Calculate the remainder when 221 is divided by 15.
11
What is the remainder when 75 is divided by 39?
36
What is the remainder when 46470 is divided by 21?
18
Calculate the remainder when 71 is divided by 34.
3
Calculate the remainder when 526 is divided by 174.
4
What is the remainder when 78 is divided by 14?
8
What is the remainder when 9391 is divided by 101?
99
Calculate the remainder when 49 is divided by 29.
20
Calculate the remainder when 530 is divided by 512.
18
What is the remainder when 378 is divided by 108?
54
What is the remainder when 997 is divided by 23?
8
What is the remainder when 114 is divided by 47?
20
What is the remainder when 85 is divided by 27?
4
What is the remainder when 5037 is divided by 126?
123
What is the remainder when 257 is divided by 16?
1
What is the remainder when 2231 is divided by 573?
512
What is the remainder when 230 is divided by 78?
74
What is the remainder when 754 is divided by 54?
52
What is the remainder when 132 is divided by 17?
13
What is the remainder when 104 is divided by 15?
14
Calculate the remainder when 1348 is divided by 45.
43
Calculate the remainder when 387 is divided by 36.
27
Calculate the remainder when 4183 is divided by 46.
43
Calculate the remainder when 49 is divided by 41.
8
What is the remainder when 479 is divided by 23?
19
Calculate the remainder when 6761 is divided by 104.
1
What is the remainder when 992 is divided by 991?
1
Calculate the remainder when 93 is divided by 48.
45
Calculate the remainder when 221 is divided by 41.
16
What is the remainder when 424 is divided by 56?
32
What is the remainder when 437 is divided by 10?
7
What is the remainder when 700 is divided by 117?
115
What is the remainder when 33 is divided by 15?
3
What is the remainder when 4029 is divided by 31?
30
What is the remainder when 202 is divided by 102?
100
What is the remainder when 99 is divided by 74?
25
What is the remainder when 722 is divided by 232?
26
What is the remainder when 580 is divided by 35?
20
Calculate the remainder when 720 is divided by 46.
30
What is the remainder when 41 is divided by 4?
1
What is the remainder when 5045 is divided by 58?
57
What is the remainder when 3831 is divided by 27?
24
Calculate the remainder when 1012 is divided by 14.
4
Calculate the remainder when 647 is divided by 21.
17
Calculate the remainder when 1109 is divided by 184.
5
Calculate the remainder when 471 is divided by 221.
29
Calculate the remainder when 125 is divided by 12.
5
What is the remainder when 8638 is divided by 216?
214
What is the remainder when 1343 is divided by 80?
63
Calculate the remainder when 1941 is divided by 162.
159
Calculate the remainder when 793 is divided by 29.
10
What is the remainder when 195 is divided by 159?
36
What is the remainder when 34 is divided by 23?
11
What is the remainder when 52 is divided by 31?
21
Calculate the remainder when 343 is divided by 113.
4
Calculate the remainder when 61 is divided by 57.
4
Calculate the remainder when 499 is divided by 63.
58
Calculate the remainder when 212 is divided by 36.
32
Calculate the remainder when 780 is divided by 61.
48
What is the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 5*m - 16 = -3*m. What is the least common multiple of m and n?
2
Suppose 0 = -5*b + 3*k + 72, 3*b - 52 = 5*k + 4. What is the lowest common multiple of b and 12?
12
Let r = 4878 - 53612/11. What is the common denominator of r and 2/11 - (-1842)/(-88)?
44
Find the common denominator of (4/144*107)/((-1)/(-2)) and -79/10.
90
Let h(m) = m**2 - 7*m + 2. Suppose 0 = -x - 5, -4*j - 4*x = -8*j + 44. Let o be h(j). What is the common denominator of -25/8 and (-1 + o*5)/4?
8
Let x(j) = -335*j**2 - 6*j - 1. Let g be x(-4). Let i = g + 3174. Let d = -8727/4 - i. Calculate the common denominator of d and 107/10.
20
Let g(a) = -3*a - 16. What is the smallest common multiple of g(-9) and 9?
99
Let p = 11294/55 + -2013/10. Let i = 9 + -16. Calculate the common denominator of (-5240)/896 + (-2)/i and p.
176
Let g(u) = -126*u + 2. Let n be g(5). Let f = n + 3109/5. Calculate the common denominator of 31/6 and f.
30
Let x be ((-40)/(-6))/(5/(-15)). What is the common denominator of 1/(x/(-158)) - 2 and ((-3)/(-66))/(1/(-30))?
110
Let s = -788205413/5859 + 134529. Let k = -80065/23436 + s. What is the common denominator of -67/16 and k?
48
Calculate the smallest common multiple of 1 - ((-16)/7 - (-20)/70) and 4.
12
Let d = -42/235 - -54176/705. Let m = -97 + d. Find the common denominator of m and -1/2.
6
Suppose v - 17 - 3 = 0. Suppose -6*j + v = -j. Let i = -10 + 19. Calculate the least common multiple of j and i.
36
Let v = 73/72 - 43/18. What is the common denominator of -25/18 and v?
72
Let t(z) = z**3 - 6*z**2 + 7*z - 7. Calculate the least common multiple of ((-2)/(1/(-1)))/2 and t(5).
3
Suppose -y + c = -9, 2*c = 4*y + c - 45. Let l = -2 - -4. What is the least common multiple of l + 0 + -3 - -13 and y?
12
Let n = -2/595 + 25593/2380. Find the common denominator of (-4)/6*(-63)/22 and n.
44
Let h be (823282/(-20))/((-4)/2). Suppose -7*x - 82352 = -3*x. Let p = h + x. What is the common denominator of 125/12 and p?
60
Calculate the common denominator of (66/(-63))/(8/54) and -95/6.
42
Let z = 221561/18 - 12312. Let o be 191/588*(-374)/3. Let a = o - 2/441. What is the common denominator of a and z?
18
Let t = 4 - 3. Calculate the common denominator of -2*1 - (-201)/27 and t - 150/21 - -2.
63
Let k = 9711/4 - 2442. Calculate the common denominator of k and 49/11.
44
Let f = -3 - -23. Calculate the lowest common multiple of 26 and f.
260
What is the least common multiple of -1 + (-658)/(-12) - 2/(-12) and 8?
216
Let f = -356348 + 8554441/24. Let n = 487/6 - f. Find the common denominator of n and 83/18.
72
Let z = -52 - -62. Calculate the least common multiple of z and 6.
30
Let u = 4 - 8. Let f(t) = t**3 + 3*t**2 - 5*t - 1. Calculate the lowest common multiple of 4 and f(u).
12
Let q = -25/13 + 314/143. Let z = -595573/6 - -98909. Let o = 355 + z. Find the common denominator of o and q.
66
Let r be (5 - -2) + -3 - -21. Let b = 35 - r. Suppose -d = -0 - 20. Calculate the smallest common multiple of b and d.
20
Let c(r) = -3*r**2 - 2*r + 2. Let s be c(-2). Let y = 7 + s. What is the least common multiple of 5 and y?
5
Let k(l) = l**2 - 3*l - 3. Let d = -3 + 3. Suppose d*p - 2*p + 22 = 0. Calculate the least common multiple of p and k(4).
11
Let y = 4655/4 - 1180. Calculate the common denominator of y and (13 - -1)/(6/4).
12
Let k = -24 + 30. Suppose -2*x + 2 = 0, 26 = 4*h - h - 4*x. What is the least common multiple of h and k?
30
Let c be 4682/(-5)*25/7608. Let s = c + -2/317. What is the common denominator of -77/4 and s?
12
Let d(i) = -i - 2. Let a be d(-2). What is the common denominator of 1*(-14)/(-44)*(-8)/4 and 1/8 - a - 0?
88
Let t = -6 + 0. What is the lowest common multiple of (-2)/(-9) - (-79)/9 and 36/t*1/(-2)?
9
Let x = 13 + 5. Let f be 4/x - 68/(-18). Suppose f*h - 5 = 19. Calculate the smallest common multiple of h and 11.
66
Let x be 911/(-1830) + (-12)/(-18). Let q = -252/61 - x. What is the common denominator of 25/9 and q?
90
Let q = -3870 - -15555/4. Find the common denominator of q and -87/50.
100
Let v = 17 - 3. What is the lowest common multiple of 3 and v?
42
What is the common denominator of (25/4)/((-9)/(-2)) and (-12 + 25)/(-52) - (-3)/4?
18
Let s be 8/36 - (-68)/18. Calculate the common denominator of (-117)/s*(-2)/6 and 18/100*110/4.
20
Suppose 3*y - 160 = -2*y. Let c = 8 - y. What is the common denominator of -26 and c?
1
Let b = 24 + -10. Suppose 2*v - 4 = 4. What is the least common multiple of v and b?
28
Let l(q) = -5 + 0 - 3*q - 3 + 1. What is the lowest common multiple of l(-3) and 2?
2
Let i(g) = 2*g**2 - 6*g + 24. Let k = -5/18 - 7/18. Find the common denominator of i(4) and k.
3
Suppose -2*q + 19902 = q. Let o be q/(-14) + -4 + 5. Let i = o + 470. Calculate the common denominator of 121/10 and i.
70
Let p(b) = -b**2 - 9*b + 2. Let q(s) = s**2 - 3*s + 4. What is the least common multiple of q(5) and p(-4)?
154
Let o(r) = -r**2 + 9*r - 7. Let f be o(8). Let m = 1 + f. Calculate the least common multiple of m and 3.
6
Let f = 41968 - 1762783/42. What is the common denominator of f and 63/2?
42
Let q(p) = -6*p**3 + 56*p**2 - 11*p - 21. Let n(c) = c**3 - 11*c**2 + 2*c + 4. Let m(f) = 11*n(f) + 2*q(f). Calculate the least common multiple of m(-9) and 9.
18
Let j be 16/(-3252)*35309/16. Let h = j + -16/271. Let k = 34587/1628 + 2/407. Find the common denominator of k and h.
12
Suppose 2*f = m - 14, m - f - 8 = 3*f. Suppose -99 = -3*k + 69. Let n = k + -40. Calculate the smallest common multiple of m and n.
80
Let i = 18669/3652 + -7/332. Let z(h) = -h**2 - 33. Let y be z(0). Let l = 1 + y. Find the common denominator of l and i.
11
Calculate the common denominator of -1 - -2*(-53)/(-28) and 2/(-4) - (-1863)/(-270).
70
Let r(u) = -u**2 + 6*u + 8. Let t be r(7). Let f = t - -7. What is the least common multiple of f and 16?
16
Let f(o) = -2*o**2 + 1. Let p be f(1). Suppose x = -0 + 2. Calculate the lowest common multiple of (p/(-1))/(x/8) and 6.
12
Suppose 5 = -2*b - 1. Let o be (-105518)/(-24) + b/(-2). Let u = o - 4395. Calculate the common denominator of u and -41/6.
12
Let p = -1201/84 - -91/12. What is the common denominator of p and -38/5?
35
Find the common denominator of 97/16 and (38/(-4))/(14/(-10)).
112
Suppose -4*m = -0*m + 20. Find the common denominator of (-1)/(-4) + 28/m and 15/(-12)*34/55.
220
Calculate the lowest common multiple of 7 and 0/((-4)/(-4)) - -10.
70
What is the least common multiple of -3 + (-28)/(-4) - 1 and 8?
24
Suppose -i = 2*w - 3*i + 28, -w = 4*i + 4. Let r = 7 + w. Let v = 5/18 + -196/9. What is the common denominator of v and r?
2
Let b(j) = 57*j - 1. Let v be b(-3). Let n = -2407/14 - v. Find the common denominator of n and -91/16.
112
Let a = 3271/790 + 60/79. Let u = 3524 + -21191/6. What is the common denominator of a and u?
30
Suppose -4*b + p = -54, -4*p = 2*b - 0*p - 36. What is the lowest common multiple of b and 46?
322
Calculate the lowest common multiple of 6 and 1 - 4 - 28/(-4).
12
Let i = -116 + 138. Let m = -22 - -38. Calculate the least common multiple of m and i.
176
Suppose 3*v - 4*c - 13 = 0, -5*v + 23 = 5*c - 57. What is the lowest common multiple of v and 6?
66
Let c = -147485/12 - -12301. What is the common denominator of c and 167/30?
60
Let q = -11051/2 - -5008. Let v = q + 535. Let n = 181/6 - 35. Find the common denominator of v and n.
6
Suppose -45*x - 55 = -50*x. Suppose 3*o - 2*v - 1 = 0, o + 4*v - 4 = v. Calculate the smallest common multiple of x and o.
11
Let w = -36594 + 1829761/50. Find the common denominator of 7/6 and w.
150
Let x(w) = 3*w**3 - 9*w**2 - 7*w + 16. What is the least common multiple of 54 and x(4)?
108
Let o be 4/(-3) - (-176)/33. Find the common denominator of (-1)/o*536/8 and 8/3.
12
What is the common denominator of 37/14 and ((-214)/(-12))/(7/(-3))?
14
Let s = -8680 + 928770/107. Let p = 4775/428 + s. Find the common denominator of -53/7 and p.
28
Suppose 2*a + a + 3*o - 54 = 0, 2*o = -4*a + 76. Calculate the lowest common multiple of a and (-2)/(-5 + (-24)/(-5)).
20
Let s(x) = x**2 + 10*x + 3. Let g be (-4)/(-625) - (0 + 0). Let y = 20597/4375 + g. Find the common denominator of y and s(-6).
7
Suppose p - 317 = -118. Suppose 2*j = j - p. Calculate the common denominator of -5/14 and j/(-6) - 4/6.
14
Find the common denominator
|
{
"pile_set_name": "DM Mathematics"
}
|
ermine x(1).
2
Let q(p) = p**3 + 11*p**2 + 12*p - 12. Determine q(-10).
-32
Let c(z) = -2*z**2 + 9*z + 24. What is c(11)?
-119
Let n(s) = 2*s - 27. Determine n(6).
-15
Let o(i) = -i**3 + 7*i**2 - 8*i - 8. Calculate o(6).
-20
Let o(w) = -w**2 + 2*w + 9. Determine o(4).
1
Let r(b) = b**2 - 9*b - 26. What is r(11)?
-4
Let s(f) = -2*f - 21. Calculate s(-10).
-1
Let v(a) = 2*a**2 + 7*a + 26. Give v(-9).
125
Let m(h) = h**2 + h + 18. Determine m(0).
18
Let g(k) = 61*k + 15. Give g(2).
137
Let u(l) = 3*l**3 + 3*l**2 - 2*l + 3. Determine u(2).
35
Let v(l) = l**3 + 3*l**2 + 3*l + 2. Calculate v(-3).
-7
Let x(o) = 42*o + 457. Give x(-11).
-5
Let d(o) = -283*o + 1126. Determine d(4).
-6
Let c(f) = f - 12. Give c(-10).
-22
Let d(p) = 2*p**3 - 6*p**2 + 11*p - 7. Calculate d(2).
7
Let k(y) = 3*y + 18. Calculate k(-8).
-6
Let v(q) = -q**3 - 14*q**2 - 12*q - 2. Determine v(-13).
-15
Let a(x) = -x + 10. What is a(-6)?
16
Let v(j) = -2*j + 8. Give v(9).
-10
Let t(o) = o**2 - 17*o - 23. Determine t(18).
-5
Let j(c) = -c**3 + 12*c - 18. Determine j(2).
-2
Let i(u) = -14*u**3 - 28*u - 29. Give i(-1).
13
Let y(j) = j**3 - 6*j**2 - 5*j + 6. What is y(7)?
20
Let x(j) = 2*j**3 + 23*j**2 - 14*j - 29. Determine x(-12).
-5
Let i(j) = -j**2 + 6*j + 347. What is i(-16)?
-5
Let o(w) = 6*w**2 + w + 2. What is o(3)?
59
Let w(z) = -z**2 + 29*z + 20. Give w(30).
-10
Let t(s) = s - 12. Calculate t(6).
-6
Let a(j) = -j**3 - 10*j**2 + 57*j + 10. Calculate a(-14).
-4
Let q(p) = 9*p**2 + 3*p + 1. What is q(-2)?
31
Let d(g) = 3*g**2 - 5*g. Calculate d(1).
-2
Let l(r) = -10*r**2 - 3*r + 2. What is l(1)?
-11
Let u(x) = 21*x - 1888. Give u(90).
2
Let v(h) = 2*h**2 + 3*h. Determine v(-3).
9
Let c(q) = q**2 + 16*q - 45. Give c(-18).
-9
Let j(k) = k**3 + 10*k**2 - 23*k + 7. Give j(-12).
-5
Let z(g) = -2*g - 22. Calculate z(-9).
-4
Let w(a) = -a**2 + a. Give w(4).
-12
Let r(n) = n**3 + 5*n**2 - 5*n + 6. What is r(-6)?
0
Let j(l) = l**2 - 48*l + 5. Calculate j(48).
5
Let t(w) = 2*w**2 + 33*w + 33. Calculate t(-16).
17
Let v(w) = -w**3 + 4*w**2 - 6*w + 6. Give v(3).
-3
Let j(q) = -q**3 + 2*q**2. Calculate j(-2).
16
Let c(x) = -3*x**2 - 9*x + 54. Give c(-6).
0
Let i(l) = -27*l - 3. Give i(2).
-57
Let c(g) = -2*g + 16. Determine c(6).
4
Let p(h) = -h**3 + h**2 - 40. Give p(0).
-40
Let l(r) = -r**3 + 7*r**2 + 1. Determine l(8).
-63
Let q(j) = -39*j - 233. Calculate q(-6).
1
Let p(w) = 5*w**2 + 8*w + 2. What is p(3)?
71
Let c(j) = 5*j + 15. What is c(-7)?
-20
Let x(g) = 2*g**2 - 3. What is x(3)?
15
Let a(b) = -b**2 + 11*b - 4. Determine a(10).
6
Let h(l) = l**3 - 20*l**2 + 13*l + 121. Calculate h(19).
7
Let j(d) = -d**2 - 9*d - 26. What is j(-7)?
-12
Let w(f) = -f**3 - 11*f**2 - 14. Calculate w(-11).
-14
Let y(k) = -k**2 - 11*k + 8. What is y(-9)?
26
Let t(o) = o**3 - 10*o**2 + 18*o - 9. What is t(8)?
7
Let h(s) = s**2 - 17*s + 20. Calculate h(6).
-46
Let r(h) = -45*h + 1. What is r(-1)?
46
Let i(z) = z**2 - 4*z - 7. What is i(-2)?
5
Let k(a) = 10*a**2 - 2. Determine k(-1).
8
Let k(v) = -2*v**3 - 2*v**2 + 3*v + 1. Give k(2).
-17
Let s(z) = -z**2 + 6*z + 67. What is s(-6)?
-5
Let i(c) = c**3 + 4*c**2 - 2*c - 9. What is i(-4)?
-1
Let t(q) = 72*q**2 - q - 1. Give t(-1).
72
Let z(w) = w**2 - 55*w - 724. Calculate z(-11).
2
Let a(b) = b**3 + 8*b**2 + 7*b + 12. Determine a(-7).
12
Let n(i) = -i**2 - 2*i + 1. Calculate n(-3).
-2
Let i(r) = -2*r - 16. Give i(-7).
-2
Let b(u) = u**3 + 10*u**2 - 15*u - 26. Determine b(-11).
18
Let r(t) = 2*t - 51. What is r(23)?
-5
Let t(a) = a**3 + 16*a**2 - 38*a - 40. Calculate t(-18).
-4
Let u(y) = -y**3 - 16*y**2 - 8*y - 128. Determine u(-16).
0
Let q(m) = -m**2 + 14*m + 18. Calculate q(9).
63
Let x(g) = -159*g - 149. What is x(-1)?
10
Let x(q) = q**3 - 9*q**2 + 7*q - 54. What is x(9)?
9
Let g(r) = -7*r - 29. Calculate g(-12).
55
Let f(s) = -s**2 - 15*s - 9. Determine f(-12).
27
Let s(u) = -3*u**2 - 9*u + 20. Calculate s(5).
-100
Let l(i) = i + 9. Calculate l(-4).
5
Let s(b) = 27*b - 1. Calculate s(1).
26
Let j(v) = 2*v**2 - 20*v - 7. Determine j(10).
-7
Let g(b) = -b**2 - 13*b + 3. What is g(-15)?
-27
Let z(h) = -5*h + 2. Calculate z(-1).
7
Let f(c) = -5*c**2 - 2*c + 2. What is f(1)?
-5
Let j(n) = n**3 + 20*n**2 + 7*n + 5. What is j(-20)?
-135
Let q(z) = -5*z**2 + 12*z - 1. Give q(6).
-109
Let o(v) = -6*v - 107. Determine o(-16).
-11
Let i(o) = -o**3 - 9*o**2 - 6*o + 10. Calculate i(-8).
-6
Let w(u) = u**2 - 30*u + 30. What is w(29)?
1
Let x(c) = c**3 - 7*c**2 - 9*c - 3. What is x(8)?
-11
Let a(h) = -h**2 + 44*h - 6. What is a(44)?
-6
Let w(n) = n**2 - 16*n + 7. Determine w(13).
-32
Let f(w) = -5*w**2 - 2*w - 50. Calculate f(0).
-50
Let n(l) = -14*l + 110. Determine n(9).
-16
Let p(d) = d**2 - 2*d + 5. Give p(6).
29
Let n(s) = s**2 + 4*s + 3. Determine n(-1).
0
Let s(w) = -w**3 - 6*w**2 - 3*w - 7. Calculate s(-6).
11
Let z(k) = k**3 - 8*k**2 - 50*k + 37. What is z(12)?
13
Let h(i) = -i - 5. Give h(3).
-8
Let h(f) = f**3 - 3*f**2 - 2*f + 5. What is h(2)?
-3
Let f(q) = -2*q**3 + 6*q**2 + q + 9. Calculate f(0).
9
Let y(u) = -14*u - 9. Calculate y(-3).
33
Let i(v) = 4*v - 81. Calculate i(23).
11
Let b(w) = w**3 - w**2 + 12*w - 24. What is b(2)?
4
Let p(d) = 2*d**2 + 28*d - 35. Give p(-15).
-5
Let t(k) = -k**3 + k - 3. Determine t(2).
-9
Let s(y) = -y**3 + 18*y**2 + 22*y - 62. What is s(19)?
-5
Let k(b) = b**2 - 15*b + 16. Determine k(13).
-10
Let x(b) = 6*b**3 - 23*b**2 - 4*b + 1. Determine x(4).
1
Let p(d) = 2*d. Determine p(-5).
-10
Let b(s) = 2*s**2 - 1. Give b(-5).
49
Let f(j) = -j**3 + 11*j**2 - 8*j - 8. Calculate f(10).
12
Let c(k) = 6*k + 17. Determine c(-1).
11
Let k(t) = -t**2 + 10*t + 3. Determine k(9).
12
Let b(m) = -m**2 - 3*m + 10. Give b(-5).
0
Let s(t) = -2*t**2 - 12*t - 51. Determine s(0).
-51
Let t(y) = y**2 + 1. Give t(1).
2
Let q(y) = 3*y**2 + 18*y - 3. Give q(-5).
-18
Let l(n) = -5*n + 61. Give l(9).
16
Let a(h) = -9*h + 12. Determine a(3).
-15
Let x(n) = -n**3 - 7*n**2 + n - 16. What is x(-8)?
40
Let j(s) = s**2 - 3*s - 9. Give j(7).
19
Let r(m) = 2*m**2 - 25*m + 40. Give r(11).
7
Let d(k) = -k**2 + 2*k + 96. Give d(-9).
-3
Let l(f) = -121*f - 113. Calculate l(-1).
8
Let n(k) = 4*k - 34. Give n(10).
6
Let j(q) = q**3 + 4*q**2 + 3*q + 5. Calculate j(-4).
-7
Let b(i) = -4*i + 26. Calculate b(7).
-2
Let g(c) = -5*c**2 + 6*c - 1. Determine g(4).
-57
Let z(f) = -f**2 + 11*f - 22. What is z(7)?
6
Let g(b) = -11*b**2 + 3. What is g(2)?
-41
Let m(v) = -v**3 - 8*v**2 - 8*v + 4. What is m(-6)?
-20
Let x(q) = -7*q + 16. Give x(-6).
58
Let j(t) = t**2 - 12*t - 35. Give j(-3).
10
Let u(t) = -t**3 - 3*t - 2. Calculate u(-2).
12
Let f(a) = -3*a - 117. What is f(-38)?
-3
Let l(h) = h**3 + 4*h**2 - h + 8. Determine l(-5).
-12
Let a(i) = i**2 + 13*i + 11. What is a(-9)?
-25
Let r(k) = -35*k**2 + 3*k + 3. Give r(-1).
-35
Let u(w) = -66*w + 1779. What is u(27)?
-3
Let d(j) = j + 5. Give d(-5).
0
Let h(k) = -k**3 - 2*k**2 + 2*k + 3. Calculate h(3).
-36
Let m(u) = u**3 - 11*u**2 - 24*u - 32. Determine m(13).
-6
Let p(g) = -9*g + 4. Calculate p(4).
-32
Let h(d) = -25*d**2 + 6*d + 3. Determine h(-2).
-109
Let s(d) = 2*d**3 - 16*d**2 - 3*d + 19. Give s(8).
-5
Let d(c) = 5*c**2 - 8*c - 2. What is d(1)?
-5
Let b(n) = n**3 - 18*n**2 + 11*n + 23. Calculate b(17).
-79
Let a(i) = -i**2 - 17*i. Give a(-17).
0
Let r(i) = i**3 - 5*i**2 - 4*i + 5. Give r(5).
-15
Let a(t) = t**3 + 8*t**2 - 2*t - 2. Calculate a(-8).
14
Let g(a) = -9*a + 15. What is g(6)?
-39
Let n(t) = t**2 - 5. Determine n(3).
4
Let i(k) = k**2 - 17*k + 17. Give i(16).
1
Let o(z) = z**3 - 11*z**2 + 10*z + 8. Give o(10).
8
Let o(a) = -a**2 + 17*a + 14. Calculate o(18).
-4
Let l(x) = -x**3 - 4*x**2 - 4*x - 4. What is l(-4)?
12
Let r(j) = j**2 + 33*j + 142. Calculate r(-5).
2
Let u(d) = -2*d**3 - 20*d**2 + 14*d + 11. Give u(-11).
99
Let b(x) = -11*x**3 + x**2 + 7*x + 6. Give b(-1).
11
Let s(b) = b + 22. Calculate s(-9).
13
Let q(w) = 5*w + 8. What is q(6)?
38
Let d(q) = -19*q**3 + q**2 + 16*q + 16. What is d(-1)?
20
Let x(r) = 19*r - 5. Calculate x(2).
33
Let k(n) = -10*n - 2. What is k(-2)?
18
Let t(v) = -v**3 - v**2 + 18*v + 12. Calculate t(-5).
22
Let c(m) = -m**3 - 17*m**2 + 2*m + 19. Determine c(-17).
-15
Let b(i) = -i**2 - 26*i + 94. Determine b(-29).
7
Let x(f) = -f**3 - 11*f**2 - 15. Determine x(-11).
-15
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
*x + 9*x - 34*x + 11*x. What is m(b)?
10
Let w(n) be the third derivative of -n**5/30 - 5*n**4/24 - n**3 + 2*n**2 - 1351*n + 2. Suppose -5*t = 1 + 4, 0 = u - 2*t + 1. Calculate w(u).
-9
Let b(u) = u - 2. Let x be b(0). Let o = 138 - 134. Let a(l) = 1346 + 2*l**3 + 3*l - 674 - 671 + o*l**2. Give a(x).
-5
Suppose 4*p = -4*p + 128. Suppose -12*q = -p*q - 32. Let w be 4*(28/q)/(-7) - 0. Let n(k) = k**3 - 2*k. Determine n(w).
4
Suppose -23342*g + 23362*g = -200. Let b(l) = -99*l - 987. Calculate b(g).
3
Let d(x) = -4 + 2 - 2*x + x. Suppose -2*r - 4*m = 14, 21*r - 24*r - 2*m = 1. Suppose 3*a = y - 7, r - 2 = -2*y + a. What is d(y)?
0
Let l(p) = -4*p**3 - 15*p**2 - 30*p + 7. Let j be l(-4). Let i be (-26)/j - 8/(-44). Let t(d) = -d**3 + 2*d**2 + 3*d + 1. Calculate t(i).
1
Let g be (4 + -9 + -2 + 4)*(-14)/6. Let o(k) = k**2 - 2*k - 2. Calculate o(g).
33
Let b(m) = m**3 + 26*m**2 + 22*m - 23. Suppose -25*a = -9373 + 9998. Calculate b(a).
52
Let o(q) be the third derivative of 3*q**2 - 19/60*q**5 + 0 + 1/6*q**3 + 0*q + 1/12*q**4. Let n = -65293 - -65292. Calculate o(n).
-20
Let t(f) = 38 - 88 - 50 - 78 + 9 - 24*f. Calculate t(-7).
-1
Let x = -122 - -126. Let k(f) = f - 7 - x - 4 + 17. Let w be 8/(-5) + (-4)/10. What is k(w)?
0
Let r(t) = -36*t + 14. Let b(j) = -j**2 - 26*j - 1. Let m(n) = b(n) - r(n). Determine m(6).
9
Let i(j) = -2*j**2 + 61 - 22*j + 52 - 20 - 119. Calculate i(-12).
-50
Let u(f) be the second derivative of -f**5/20 - 5*f**4/12 + 7*f**2/2 + 301*f. Calculate u(-5).
7
Let z(c) = 905673*c - 905712*c + 17 - 12 - c**3 + 52 + 20*c**2. Give z(18).
3
Suppose -967*v = -557*v - 2870. Suppose 2*b - 5*b + 9 = 0. Let d(i) = 1 + i**3 + 1 + b*i**2 - 10*i**2. Calculate d(v).
2
Let n(u) = 207*u + 807. Let i be n(-4). Let k(r) = -r**3 - 21*r**2 + 8. Calculate k(i).
8
Suppose h + 29 = -3*t - 2*t, 4*h = -3*t - 31. Let q(c) = 5*c**2 - 3*c - 7. Let o(u) = 6*u**2 - 3*u - 8. Let i(a) = h*o(a) + 5*q(a). What is i(5)?
7
Let w(q) = -67*q + 160. Let v(r) = -152*r + 316. Let m(b) = 4*v(b) - 9*w(b). What is m(-34)?
-6
Suppose 202*j = 222*j - 20. Let f(k) = -91*k + 86. Calculate f(j).
-5
Let z be -3 + (-485)/(-20) - 1/4. Let d be (2/2)/(z/63). Suppose -x - 3*t + 23 = x, -3*x = -d*t + 3. Let l(j) = j**2 - 5*j - 5. Determine l(x).
-9
Let u(y) = 10*y + 11. Let x(b) = 23*b + 23. Let r(h) = -24*h - 23. Let a(i) = -5*r(i) - 6*x(i). Let m(q) = -6*a(q) - 11*u(q). Determine m(5).
7
Let v(t) = -t**3 - 7*t**2 + 5*t + 12. Let r(d) = d**3 + 8*d**2 - 4*d - 11. Let g(i) = 2*r(i) + 3*v(i). What is g(-6)?
8
Let k(n) = 9*n**2 - 9*n + 27. Let x(c) = 5*c**2 - 4*c + 13. Let p(b) = 4*k(b) - 7*x(b). Let j be (21/(-30))/(26/52)*-5. Calculate p(j).
10
Let q(u) = -18*u + 49. Let v(i) = -103*i + 244. Let x(f) = 11*q(f) - 2*v(f). Give x(-5).
11
Let m(f) = -2*f + 3 - 25 + 9 + 10 + 0*f - 4*f**2. Suppose -5*u = -3*x - 38, u - 2*x - 2 = -0. Suppose 4*v + u - 2 = 0. Give m(v).
-15
Let l(w) = 3*w**3 + 8*w**2 + 47*w + 8. Let c(m) = -2*m**3 - 8*m**2 - 36*m - 8. Let t(d) = 4*c(d) + 3*l(d). Determine t(0).
-8
Let u(k) = -33419 + 32766 - 60*k - 6*k + 6*k. Give u(-11).
7
Let n(v) = -v**2 + 7*v + 171. Let j(g) = -g**2 + 236*g + 734. Let y be j(-3). Give n(y).
1
Suppose -3120 = -46*v + 299*v - 13*v. Let t(n) = 2*n**2 + 30*n + 34. Calculate t(v).
-18
Let i(p) be the second derivative of -11*p**3/6 - 26*p**2 - 3201*p. What is i(-9)?
47
Let u(g) be the second derivative of g**7/2520 - g**6/180 + g**5/60 - 43*g**4/12 + g**2/2 - 3*g - 6. Let c(o) be the third derivative of u(o). Determine c(5).
7
Let o be (-24)/18*6/(-4). Let x(y) = -4*y**2 + 2*y**o - 4*y - 3*y**2 + 6*y**2. Calculate x(3).
-3
Let n(r) = r**2 + 12*r + 11. Let i be 4 + 476/(-126) + 2/(-9). Let h(j) = j**3 - 2*j**2 + j - 8. Let b be h(i). Give n(b).
-21
Suppose -22*q + 175 = -111. Suppose 12 = -9*t + q*t. Let p(m) be the second derivative of m**3/3 - m**2/2 - m. Give p(t).
5
Let c(b) = -3907*b**2 + 4938*b**2 - b**3 - 1027*b**2 + 2*b - 6. Let h = -4 + 8. Calculate c(h).
2
Suppose 9 = -r - 3*l, 2*r = l + 3*l + 22. Let q(k) = 0*k - r*k + 85*k**2 + 8 + 4*k - 84*k**2. Suppose -y = 4*t + y + 10, -t - 4*y = 20. Give q(t).
8
Let y(s) be the first derivative of 1185 + 2*s**4 - s - s**4 - 1152. Let c be (-3)/(-7) + (-28)/(-49). Give y(c).
3
Suppose 0 = -24*m - 36 + 324. Let k(x) = -x**3 + 11*x**2 + 15*x + 27. Determine k(m).
63
Let m(x) = -4*x - 26. Let w be (-144)/27*15/10. Calculate m(w).
6
Let d = -720 + 725. Suppose d*l - 3*v = 14, -4*l - 81 = -v - 95. Let m(b) = 3*b - 4. What is m(l)?
8
Let j(v) = -6*v + 98. Let m = -20473 + 20488. Determine j(m).
8
Let z(g) = -5 + 1 + 0 - 5*g. Let v = -1463 - -1671. Suppose -4*c - 3*b = 13, v*b - 207*b = 1. Determine z(c).
16
Suppose -10 = -4*d - 8*d + 2*d. Let q(w) = 12*w**3 - 2*w**2 - w + 2. Calculate q(d).
11
Let c(x) = x**2 + 9*x + 7. Let u(j) = 3*j**2 + 3*j - 8. Let d = 25 - 30. Let h be u(d). Let s = 46 - h. Give c(s).
-11
Let k(a) = 7*a + 2. Let t(u) = 20*u + 4. Suppose 4*y + 23 = 11, -b = 3*y + 3. Let l(p) = b*t(p) - 17*k(p). What is l(0)?
-10
Let t(x) = -6*x**2 - 2*x + 10. Let d(o) = -o**2. Let j(p) = 5*d(p) - t(p). Let w = -72740 + 72740. What is j(w)?
-10
Let q(s) be the second derivative of 3/2*s**3 + 1/20*s**5 + 0 + 3*s**2 - 36*s - 11/12*s**4. Calculate q(10).
-4
Let u(f) = -2*f**2 + 55*f - 148. Let d be u(25). Let j(m) = -3*m - 51. Determine j(d).
18
Let t(r) = -1115*r - r**3 - 1106*r - 1119*r - 19 + 3326*r - 13*r**2. Calculate t(-12).
5
Let n(d) = -d**3 - 10*d**2 - d - 7. Suppose -4 - 16 = 2*s. Let j be n(s). Let c(p) = -3*p**3 - 1 - 7*p**j + 7*p**3 + 0. Determine c(1).
-4
Let d(t) be the third derivative of 0*t - 1/24*t**4 - 13*t**2 + 0 - 1/3*t**3. What is d(5)?
-7
Let d = 2665 + -2665. Let s(f) = -f**2 + 2*f + 8. Give s(d).
8
Let m(o) = 4*o**2 - o + 7. Let w be m(9). Let u = 314 - w. Let x(c) = -c**2 - 9*c - 6. Determine x(u).
2
Suppose -z + 4 = 3*z. Let t(a) = -3*a**2 + 44*a - 21. Let u be t(14). Let b(v) = -u + 6 + 0 + 4*v**3 + 2*v**2. Determine b(z).
5
Let g(f) = -f**2 - 8*f + 262. Let q(w) = -9*w + 321. Let o(h) = -5*g(h) + 4*q(h). Give o(-6).
130
Let s(a) = 3*a + 6. Suppose 1338 = 5*j - 192. Let o = j + -310. What is s(o)?
-6
Let h(a) be the second derivative of a**5/20 + 7*a**4/12 + 4*a**2 + 1372*a. What is h(-7)?
8
Let r(n) = 9*n**3 - 22*n**2 + 30*n - 9. Let c(k) = 5*k**3 - 10*k**2 + 18*k - 4. Let i(a) = -5*c(a) + 3*r(a). Determine i(8).
-7
Let i(y) = y + 4. Suppose 4*c - 239 = -5*g, 104 = 2*g - 3*c + 13. Let f = -49 + g. Let u be (6 - 6)/(f/(-1)). Give i(u).
4
Suppose -3604 = d - 3605. Let t(i) = -4*i**2 + 27*i - 29. Calculate t(d).
-6
Let u(b) = b + 6. Let r(m) = 3*m**2 - 9*m + 9. Let f be r(1). Let c be ((-4)/36*f)/(2/42). Determine u(c).
-1
Let m(c) = -2*c + 1. Let d(l) = -6*l - 45. Let j(n) = -d(n) + 2*m(n). Calculate j(-20).
7
Suppose -5*s - 2*d = -6, s + 5*d - 1 = -9. Let k(o) = 4*o - 2 + 9 - s. Determine k(6).
29
Let g(y) = y**3 + 11*y**2 + 19*y - 21. Suppose 6*x + 12*d - 8*d + 78 = 0, 2*d + 3 = x. Determine g(x).
-30
Suppose -y + 6 = 4*m, 24*y = 2*m + 21*y + 4. Let h(s) = -7*s**2 - 6*s - 7. Let b(x) = -2 - 36*x**2 + 37*x**2 + x + 3. Let a(v) = 6*b(v) + h(v). What is a(m)?
-2
Let p(k) = 0*k - 38 - 8*k**2 - k + 2*k**3 + 7*k + 8*k - 4*k. Let o be p(4). Let v(n) be the second derivative of n**3/2 - 3*n**2/2 + n. Calculate v(o).
3
Suppose 2*x - 17 = 5*c, x = 5*c - 7*c - 5. Let a(s) = 6*s**2 + 4*s**2 + 2*s**2 - 3*s**2 - 4*s**2 + 4*s + x. Determine a(-3).
34
Let d be (-210)/90 + 7/3. Suppose -91*w + 74*w = d. Let h(g) = g**3 - g**2 - 22. Give h(w).
-22
Let o(w) = 2*w**2 - 6*w + 3. Let g(b) = 14*b**2 - 2*b + 12. Let m(u) = u**2 - u. Let n(t) = g(t) - 12*m(t). Let v be n(-4). Determine o(v).
11
Let w(c) be the second derivative of c**6/30 - c**5/120 + c**3/2 + 5*c**2/2 - 2*c - 3. Let t(i) be the second derivative of w(i). Determine t(1).
11
Let g = 7280 + -7276. Let h(z) = -9*z - 2. Calculate h(g).
-38
Let p = 8 + -14. Let w = -17 + 52. Let v(a) = -34*a**2 - 17*a + 20*a + w*a**2 - 4. Determine v(p).
14
Let t(w) = w**3 + 20*w**2 + 98*w - 14. Let n be t(-10). Let v(b) = -b**2 + 7*b - 8. What is v(n)?
-2
Let n(m) be the first derivative of -m**3/3 - m**2 - m - 2. Let f(w) = w**3 + 6*w**2 - 3*w - 3. Let q be f(-6). Suppose -9*b + 4*b - q = 0. Calculate n(b).
-4
Let o(v) = v**3 + 5*v**2 + v. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(11) + 0 - sqrt(11))*1 + (sqrt(11) - 2*sqrt(11)*-5) + -3.
2 + 11*sqrt(11)
Simplify (((sqrt(750) - (2*sqrt(750)*3 + sqrt(750)))*6)/(sqrt(24)/sqrt(144) + (sqrt(24)*-2)/sqrt(4)))**2.
5832000/121
Simplify (3*((sqrt(49) - sqrt(294)/(sqrt(54) + sqrt(6))) + (-3*sqrt(147)/sqrt(3) - sqrt(49))))/((sqrt(7)*1*-2 - sqrt(7)) + 1*sqrt(28)).
39*sqrt(7)/4
Simplify ((sqrt(48)/sqrt(150))/(sqrt(36) - sqrt(36)*-2) - ((sqrt(288) + -5*sqrt(288))**2 - (sqrt(16)/sqrt(2))**2))*3.
-13800 + sqrt(2)/15
Simplify ((4 + sqrt(136)/(sqrt(8)*-1*-3) - -4*(sqrt(425) - ((sqrt(425) - (1 + sqrt(425)))*-6 - sqrt(425))))*-6)**2.
-58080*sqrt(17) + 1009988
Simplify -5 + 1*((sqrt(1900)*-2 + 1 - sqrt(1900))**2 + ((sqrt(1900) - (sqrt(1900)*1 - sqrt(1900))) + -2)**2).
-100*sqrt(19) + 19000
Simplify (1*(sqrt(65) - sqrt(65)*-4) + (sqrt(65) - ((sqrt(65)*-3 + sqrt(65))*-5 + sqrt(65))))/((sqrt(75)/sqrt(5))/sqrt(3) - sqrt(180)*-3).
-5*sqrt(13)/19
Simplify (-2 + (-3*(sqrt(170) - (sqrt(170) - sqrt(170)*-1)) - sqrt(170) - sqrt(170))/sqrt(10) - -5*(sqrt(17) + (1*sqrt(153))/sqrt(9))*5)**2.
-204*sqrt(17) + 44221
Simplify (((sqrt(30)*-2 + sqrt(30))/sqrt(10) + sqrt(3)*-1*2)*-1 - (sqrt(15)/sqrt(5) + -5 + sqrt(3) + -4 + sqrt(12)/sqrt(4))*2)**2.
-108*sqrt(3) + 351
Simplify 0 + ((-5*sqrt(256))/(sqrt(32)/(sqrt(20)/sqrt(5))) - (sqrt(24)/(1*sqrt(12)) - (sqrt(18) + 1)**2)*6*-5).
-570 - 170*sqrt(2)
Simplify -4*(sqrt(11) + -2 + sqrt(11)) + 3 + 1 + (-2*4*(sqrt(11) + 0 + -2))**2.
-264*sqrt(11) + 972
Simplify (((-1*sqrt(352)*2 - sqrt(352)) + 1*sqrt(352)*2)/(sqrt(288)*-1 - 1*sqrt(288)) + 3)**2.
sqrt(11) + 335/36
Simplify ((1 + 1 + (sqrt(405) - (sqrt(405) + 0)*3))**2 - ((5*((2*sqrt(405))**2 + sqrt(405) + sqrt(405)) - sqrt(405)) + -4 + 1))*2.
-12946 - 306*sqrt(5)
Simplify (-2*sqrt(30)/(sqrt(20)/sqrt(2)*-6) - (-1*sqrt(243) + sqrt(27) + 1))*-3.
-19*sqrt(3) + 3
Simplify 1 + 6*(sqrt(68)/(sqrt(12)/(sqrt(3) - 2*sqrt(3))) + (2*sqrt(85)*-1 - sqrt(85))/sqrt(5) + 2).
-24*sqrt(17) + 13
Simplify -3 + (3 + -2*sqrt(19) + 0)**2 + -1 + (-1*sqrt(2736))**2 + -1 + -3 + -1.
-12*sqrt(19) + 2812
Simplify -1*(sqrt(3072)*4)**2 - ((-1*(sqrt(3) + -1))**2 + (sqrt(3) - (-2 + sqrt(243))**2)).
-48909 - 35*sqrt(3)
Simplify 2*(-3 + (sqrt(17) + -1)**2 + 4 + -4) + (5 + (2*(sqrt(68) + (sqrt(68) - -1*sqrt(68))) + sqrt(68))/sqrt(4) + -4)**2.
10*sqrt(17) + 864
Simplify ((4 + sqrt(448) + (sqrt(448) - (0 + sqrt(448) + 2 + sqrt(448))) + sqrt(448) + sqrt(448) + (sqrt(448) - -6*(-1 + sqrt(448))))*6*-4 + -2)**2.
-324864*sqrt(7) + 20910724
Simplify -1*(sqrt(102)/(sqrt(242) + (1*sqrt(242) - sqrt(242))))/(-3*sqrt(15)/sqrt(5)*1).
sqrt(17)/33
Simplify ((sqrt(720) - 3*sqrt(720)*-6) + sqrt(720) + 1 + -2)**2 - (4*(sqrt(720) + -1 + 1)*-6)**2.
-126719 - 480*sqrt(5)
Simplify (5*((-1 + sqrt(396) - (0 + sqrt(1584) - sqrt(11))) + 0 + (sqrt(132)*2 - sqrt(132))/sqrt(3) + sqrt(44))*4)**2.
800*sqrt(11) + 4800
Simplify (2*(sqrt(132)*-1 + sqrt(132) + sqrt(132))*4)/((6*(sqrt(192)*-2 - sqrt(192)) - sqrt(192)) + (sqrt(192) - (sqrt(192) - sqrt(192)*-2*6))).
-2*sqrt(11)/31
Simplify ((sqrt(34) + sqrt(102)/sqrt(3)*1)/(-2*sqrt(2)*5) + 0 - (sqrt(204)*1*-6 + sqrt(204))/((sqrt(12) - sqrt(12)*-2)*5))**2.
68/225
Simplify (6*(3 + sqrt(363) + 1 + sqrt(363) + sqrt(363) + 3 + (sqrt(363) + 1)*4 + sqrt(363) + 0)*2*-2*5)**2.
27878400*sqrt(3) + 336283200
Simplify (-6*(-2 + 5 + (1 + -6*sqrt(176))*2))**2.
-17280*sqrt(11) + 913284
Simplify (5 + (sqrt(832) + -1 - sqrt(832))**2*3 + 2*(sqrt(832) + -1) + -3 + 1)*-2.
-32*sqrt(13) - 8
Simplify (4*(sqrt(170)*1 + sqrt(170)) - 1*(sqrt(170) + (sqrt(170)*2 - sqrt(170))))/(-1*(sqrt(240)/sqrt(8)*-3)/sqrt(3)).
2*sqrt(17)
Simplify (sqrt(264)/(sqrt(12)*3) + (-3*sqrt(352) - sqrt(22)))/(-2*(sqrt(88) + 2*sqrt(88)*1)/sqrt(8)) + 2.
2 + 19*sqrt(2)/9
Simplify ((sqrt(102) + sqrt(102) + (sqrt(102) - -4*sqrt(102) - sqrt(102)))*-3 - (sqrt(102)*4*-1 + sqrt(102)))/((sqrt(1350)*3 - sqrt(54))/(3*sqrt(9)*-1)).
45*sqrt(17)/14
Simplify (3*((sqrt(162) + -2 + 4)*2 - (3*sqrt(162) + sqrt(162))*-5*-4))**2*-4*-4.
-808704*sqrt(2) + 141929856
Simplify (sqrt(320) - (sqrt(320) - (2*sqrt(320) + 0)**2) - (2*(-3 + sqrt(320)) - sqrt(320))**2) + (-6*(-1*sqrt(320) + -3 + sqrt(320) + 1 + 3 + sqrt(320)))**2.
672*sqrt(5) + 12480
Simplify (((1*sqrt(4374))/sqrt(2))/(sqrt(18)/sqrt(32) + (sqrt(9) - sqrt(18)/(sqrt(2) - sqrt(32)))))**2.
34992/361
Simplify -4 + (4*-2*sqrt(384))/(1*sqrt(8)*5) + 1.
-32*sqrt(3)/5 - 3
Simplify -6*(sqrt(57)*3)/sqrt(3)*-5 - (1*(1*sqrt(38) + sqrt(38)))/(1*sqrt(128)).
359*sqrt(19)/4
Simplify -3*-3*sqrt(98)*3 + 4 + 1 + (sqrt(30)/sqrt(48))/((sqrt(10) - (sqrt(10) + sqrt(10)*-1))/sqrt(2)).
5 + 757*sqrt(2)/4
Simplify 2*-2*((sqrt(425) - (sqrt(425) + -1*sqrt(425))) + sqrt(425))*-2 + -3*(2 + (-5 + sqrt(1700) + -2*sqrt(1700))**2).
-5181 - 220*sqrt(17)
Simplify (-1*sqrt(5616)*-6 + sqrt(5616) + 1*sqrt(5616)*-1)/(-3*(sqrt(972)*3)/sqrt(4)).
-8*sqrt(13)/9
Simplify (0 + 1*(sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 0 - sqrt(1900))) - sqrt(1900))**2 + (4 + sqrt(1900)*-3 + 5)**2)*-2.
-38162 + 1080*sqrt(19)
Simplify 3 + (sqrt(9)*-2*-2 - (sqrt(9) + 4*sqrt(144)))/(-1*sqrt(75) + (sqrt(3) - 1*sqrt(147))).
13*sqrt(3)/11 + 3
Simplify (3*((sqrt(3) - (sqrt(27) + -1 - sqrt(3)))*3 - ((0 + sqrt(3))*-4 + 2))*6)**2 + 2.
648*sqrt(3) + 1298
Simplify (4 + (sqrt(2) - sqrt(242)*1 - sqrt(6)/(sqrt(6)/sqrt(2) + sqrt(3))) - ((sqrt(98) - (-1 + sqrt(98) + sqrt(98)))*-5 + 5))**2.
-364*sqrt(2) + 8313/2
Simplify (-5*(-2*sqrt(2904) + (sqrt(24) - (sqrt(192) + sqrt(192)*1 + sqrt(192))/sqrt(8))))/(sqrt(48)/sqrt(96) - (sqrt(64)/(sqrt(40)/sqrt(5)) - sqrt(8))).
480*sqrt(3)
Simplify 3*(((sqrt(242) - (sqrt(242) + (2 + sqrt(242) - sqrt(242))*2))*3)**2 + (1 + 1*(sqrt(242) + 6*sqrt(242)))**2).
462*sqrt(2) + 36009
Simplify (sqrt(110)/sqrt(1000) - 5*sqrt(66)/sqrt(6))**2 + ((sqrt(891) + -1)*-6 + -3*sqrt(891)*-1)**2 + -2.
-324*sqrt(11) + 831711/100
Simplify ((5*(-5*(3 + sqrt(147)) + sqrt(147)*4*-6) + 0)*1)**2.
152250*sqrt(3) + 3096300
Simplify (-5*sqrt(147)*2 - (2 + 2*sqrt(147)))**2 - (sqrt(54)/(sqrt(54)/sqrt(6)))/(sqrt(8)/(-3*sqrt(4))).
339*sqrt(3) + 21172
Simplify (-5*sqrt(1800)*1 + 2*sqrt(1800)*2 + sqrt(1800))/((sqrt(81) - -4*sqrt(81)) + (sqrt(72) + (sqrt(72) - 2*sqrt(72)))/sqrt(8)).
0
Simplify 3 + (-4 + 3*sqrt(176)*-2 - (-1*sqrt(176) + -5)*3)**2.
-264*sqrt(11) + 1708
Simplify ((-2*sqrt(5700) - sqrt(57) - sqrt(57)) + sqrt(4617)*2)/(-4*(sqrt(300) - 2*sqrt(300) - ((sqrt(72)/sqrt(2) - sqrt(36))/sqrt(12) - sqrt(3)))).
-sqrt(19)/9
Simplify ((sqrt(240) - (sqrt(240) + -4*(-1*sqrt(240) - sqrt(240) - sqrt(240))) - sqrt(240))/(sqrt(64)/(-1*sqrt(8))))/((sqrt(1440) + sqrt(1440)*2*-6)*-2).
13*sqrt(3)/264
Simplify (5*(((sqrt(320) - 3*sqrt(320))*4 - (-2*sqrt(320) + sqrt(320))*-2) + 1))**2*-4.
-3200100 + 16000*sqrt(5)
Simplify ((sqrt(70) + sqrt(70)*1)*-4)/((sqrt(70)*-2)/sqrt(7)) - (sqrt(112)*-2 + sqrt(1008) + 1*sqrt(1008) + sqrt(1008) + sqrt(1008))*-4.
164*sqrt(7)
Simplify (3 + (sqrt(1216) + 2*sqrt(1216) + sqrt(1216) + -1)*-3 + 2 + -1 + (sqrt(1216) + -2*sqrt(1216))*-3)**2.
-1008*sqrt(19) + 98545
Simplify (2 + -1 + (sqrt(243) + (-2 + sqrt(243))*-1 - sqrt(243)) + -6*((sqrt(243) + 0 + -5 - sqrt(243)) + sqrt(243)) + 1)**2.
-4284*sqrt(3) + 13063
Simplify ((sqrt(5500)*3)/(sqrt(176) + -2*sqrt(176) + sqrt(176) + sqrt(176)) + (2*sqrt(160)*3)/(-1*sqrt(8)*4 - sqrt(8)))**2.
2601/20
Simplify ((2 + sqrt(800) + -2 + sqrt(800) - sqrt(800) - (sqrt(800) - (sqrt(800) + -2 - sqrt(800))*-1)) + 5*(1 + sqrt(392)*-1) + 1)**2.
-1120*sqrt(2) + 9864
Simplify -6*((-2*sqrt(320)*5 + -2)**2 + 5*(sqrt(320) + 0 + 1 - sqrt(320))**2).
-192054 - 1920*sqrt(5)
Simplify ((1*sqrt(91))/sqrt(7) - ((sqrt(468))**2 + 3) - (-4 + -2 + (sqrt(143)*-2)/sqrt(11))) + -1.
-466 + 3*sqrt(13)
Simplify 0 + (sqrt(76) - (sqrt(76) - -5*(sqrt(76) + -1))) + (sqrt(76)*-1*-5)**2 + ((sqrt(76) - (6*sqrt(76) + 4))**2 - (-3 + (-5 + sqrt(76))**2)).
90*sqrt(19) + 3723
Simplify (-1 + -2*(sqrt(1053) + sqrt(1053) + -1 + sqrt(1053) + 3 + sqrt(1053)) + 2)**2 + 1 + 3.
432*sqrt(13) + 67405
Simplify (sqrt(187)*2)/sqrt(11) + sqrt(1377)*3 + (3*sqrt(17)*-1 - (sqrt(136)/sqrt(288))**2) + 0.
-17/36 + 26*sqrt(17)
Simplify sqrt(49)/(sqrt(7) + sqrt(49)/sqrt(7)) + -1*sqrt(175) + 4*-3*sqrt(7) + (sqrt(112) + sqrt(112) + 1)**2.
-sqrt(7)/2 + 449
Simplify -4*(-5 + (1 + (5 + sqrt(1377)*3)*-1 + 2)**2 + 1).
-49572 - 432*sqrt(17)
Simplify (sqrt(9)/sq
|
{
"pile_set_name": "DM Mathematics"
}
|
108*s + 387)*(-3 + 1 + 1).
-216*s
Expand (-3*g - 2*g - 2*g)*(g**2 - g**2 + 4*g**2)*(-3*g**2 + 1 - 1 + (-3 + 0 + 0)*(3*g + g**2 - 3*g)).
168*g**5
Expand (993 - 993 - 40*x)*(10*x + 12 + 13 - 24).
-400*x**2 - 40*x
Expand (-2 - 1 + 1)*(q**3 - q**3 + 2*q**3) + 5*q**3 + 0*q**3 - 2*q**3 - 14*q**3 + 78*q**3 - 10*q**3.
53*q**3
Expand (0 + 7*a**2 + 0)*(-9*a - 10*a + 15*a).
-28*a**3
Expand -33*r + 40 + 61*r - 32*r + (3*r + 0*r - 4*r)*(0 - 2 + 0).
-2*r + 40
Expand (23*c - 23*c - 6*c**2)*(8*c - 4*c + 5*c)*(-6*c**2 + 2*c**2 + c**2).
162*c**5
Expand (1 + 4 - 3)*((1 - 1 + 2*p)*(3*p**2 - 2*p**2 + 0*p**2) + (7 + 3*p - 7)*(-3*p**2 + 3*p**2 - 12*p**2)).
-68*p**3
Expand (-2*k - k + 4*k)*(221*k**2 - 118*k**2 - 103 + k - 100*k**2).
3*k**3 + k**2 - 103*k
Expand 1 + o - 1 - 20 + 20 - o + o + 5*o - 4*o + (4 - 1 - 2)*(o + 2*o - o) - 2 + 2 + o - 16 + 16 + 15*o + 2*o - o - 2*o.
19*o
Expand -8*x**3 + 2*x**3 - x**3 + (2*x**3 + 2*x**3 + 0*x**3)*(-2 + 2 - 2).
-15*x**3
Expand (-30 - 9*m**2 + 30)*(-4 + 3 - 3 - 2*m).
18*m**3 + 36*m**2
Expand (8*v - 15*v**2 - 8*v)*(2*v + v - 5*v + (v - 2 + 2)*(1 - 2 + 2))*(5 - 5 - 4*v)*((0 - 3 + 1)*(2*v - 5*v + 2*v) + 0*v + 6*v + 0*v).
-480*v**5
Expand 0*i**2 - i**3 + 0*i**2 - 4*i - i**3 + 4*i + (2*i - 4*i + 0*i)*(2*i**2 - 3*i**2 + 0*i**2) - 9*i**3 + 20*i**3 - 46*i**3.
-35*i**3
Expand (-1 + 1 - 3*v)*(5*v - 4*v - 3*v) - 11*v**2 + 5026*v - 5026*v + (0 + 0 - 1)*(-5*v - v**2 + 5*v) - 3*v + 3*v + v**2.
-3*v**2
Expand (-412 + 412 + 3*b)*(-1 - 3 + 1)*(2 + 0 - 4).
18*b
Expand (2*y + y - 4*y)*(4 - 4 - y) + (2*y + 1 - 1)*(0 + 0 - 2)*(147*y + 18*y - 14*y) + 0 + y**2 + 0.
-602*y**2
Expand (-2*z - 2*z + 7*z)*(13 - 11 - 97) + 4*z - z - 2*z.
-284*z
Expand (4*c + 1 - 1)*(-8*c + 0*c + 1 - 8*c + (c - 3*c + 0*c)*(-3 + 5 + 0) + 2*c - 4*c + 0*c).
-88*c**2 + 4*c
Expand (75*z + 202*z + 31*z)*(-7*z + 3*z + 2*z + 2).
-616*z**2 + 616*z
Expand (-8*x - 12*x + 19*x)*(1 - 4 + 7)*(-1 + 3 + 0).
-8*x
Expand (-2*d**3 + 6*d**3 - d**3 - 2*d**4)*(24 - 8 - 12) - 4*d**4 + 2*d**4 + 0*d**4 + (3 - 5 + 4)*(2*d**4 - d**4 + d**4).
-6*d**4 + 12*d**3
Expand -3*o**5 + 2*o**5 + 2*o**5 + (4*o**4 - 5*o**4 + 3*o**4)*(-2 - 2*o + 2) - 3 + o**5 + 3 + 0*o**5 - 3*o**5 + 2*o**5 + 274*o**5 + 130*o**5 - 124*o**5.
277*o**5
Expand (-4*r + 3*r - 2*r)*(-50*r + 87*r - 263 - 35*r).
-6*r**2 + 789*r
Expand (-6 + 2 + 6)*(-31*c + 9*c + 0*c)*(2 - 9 + 14).
-308*c
Expand -s - 1 + 1 + (-2 - 5 + 6)*(0*s - s - 4*s + (s - 3*s + s)*(1 - 2 - 1))*(-5 + 3 + 0).
-7*s
Expand -q - q + 3*q + (0 - 1 - 1)*(0*q - 3*q + 2*q) + 4 - q - 4 + 4 - 13*q - 4 + (-2 + 5 - 5)*(-3 - 1 + 1)*(-1 + 1 + 2*q).
q
Expand (0*u**2 + 0*u**2 - u**2)*(111 - 111 + 168*u + 191*u).
-359*u**3
Expand (-2*r**3 + r**3 - r**3)*(-r**2 + 3*r**2 - 17*r**2) + (-4*r**4 + 3*r**4 + 4*r**4)*(r + 3 - 3).
33*r**5
Expand (-u**3 - 2*u**3 + u**3)*(0 - 2 + 0 - 4 + 6 - 3 + (-4 + 3 - 8)*(1 + 1 + 1)).
60*u**3
Expand 3 - 3 - 7*i + (-2 + 1 - 1)*(-22*i + 114 - 114).
37*i
Expand ((m - 2*m - m)*(1 - 4 + 5) + 1 - 1 + 2*m)*(610 - 80*m**4 - 610).
160*m**5
Expand f**5 + f**3 - f**3 + 5*f**5 + 3*f**5 - 3*f**5 + (-4*f**4 + 5*f**4 + f**4)*(100*f + 587 - 587).
206*f**5
Expand (61*q - 113*q - 119*q)*(q + 0*q - 3*q)*(0*q + q - 3*q).
-684*q**3
Expand (-1 - 1 - 9)*(-4*g + 4*g - g)*(g + g + 4*g)*(0 + g + 0).
66*g**3
Expand (3*p**4 + 0*p**3 + 0*p**3)*(-2*p + 6*p - 3*p)*(-2 + 0 + 5)*(-2 + 2 - 2)*(2 + 1 - 2).
-18*p**5
Expand -u**2 + 13*u**4 - 5*u**4 + 0*u**2 + u**4 + u**3 - u**3 + (-2 - 2*u**2 + 2)*(2*u**2 - 4*u**2 - 2*u**2) - 1 + u**4 + 1 - 2*u**4 + 4*u**2 - 4*u**2.
16*u**4 - u**2
Expand (-3*q + 3*q + 4*q**2)*(-q - q + q)*(3 + 1 - 1)*(2 + 1 - 4)*(q - 2 + 2).
12*q**4
Expand (-2*f + 3 - 3)*(5*f - f - f + 0*f - 3*f + f + (-2 + 4 - 1)*(2*f + 0 + 0) - 2*f - 8*f + 3*f + f + 2*f - f).
4*f**2
Expand -22*b + 54*b + 43*b + (-3 + 2*b + 3)*(3 - 2 + 0).
77*b
Expand (-2*r + 2*r - 3*r)*(2 - 3 + 2)*(4 - 1 + 3).
-18*r
Expand (-53*u + 44*u + 90*u)*(4*u - 2*u - 3*u)*(-2 + 2 + 2*u + 3).
-162*u**3 - 243*u**2
Expand 84 - 84 + 27*r**2 + (-2*r**2 - r + r)*(-2 - 1 + 1) - 3*r**2 + 7*r**2 - 3*r**2 + (2*r + r - r)*(-2*r - 4*r + 5*r).
30*r**2
Expand (2*i**2 + 2*i**2 - i**2)*(0*i + 2*i - i) + 2*i**3 + i**3 - 2*i**3 - 2*i**2 - 2*i**3 + 2*i**2 + (2*i + 2*i - 2*i)*(10*i**2 - 85 + 85).
22*i**3
Expand 2*z**3 - 2*z**3 - z**3 + (4*z - z - 2*z)*(3*z - 2*z**2 - 3*z) + 15*z**2 - 11 - 16*z**2 - z**3 + 26.
-4*z**3 - z**2 + 15
Expand (12*g - 3*g**3 - 9*g + 7*g**3)*(-3*g - g - g)*(5*g + 11*g + g).
-340*g**5 - 255*g**3
Expand (p**4 - p**4 - p**5)*((1 + 1 + 0)*(-2 + 3 + 0) - 28 + 19 - 36).
43*p**5
Expand (26 - 26 + w)*(-2 + 2 - 2*w**2 + 2*w - w**2 - 2*w + (-3 - 2 + 4)*(0*w**2 + 3*w**2 - w**2) + 5 - 5 + w**2 - w**2 + 0*w**2 - w**2 + 0 + w**2 + 0).
-5*w**3
Expand (2 + 3 - 3)*(-2*n**2 + n**2 + 5*n**2) - 83 + 7*n**2 + 83.
15*n**2
Expand (-59 - 133 - 162 - 134)*(-i**2 - i**2 + i**2).
488*i**2
Expand 4632 - 4632 + 318*d**2 + (-2 + 1 - 1)*(0*d**2 + d**2 - 3*d**2) + 2*d**2 - d + d.
324*d**2
Expand (135*l - 33*l + 147*l)*(2*l**3 - l**2 + l**2).
498*l**4
Expand (-3*i + 3*i + i)*(-i - 2*i + 5*i) + (-3 - 1 - 3)*(-8*i**2 + 193*i**2 - 34*i**2).
-1055*i**2
Expand 3*i + i**5 - 2*i + 0*i + (2*i**4 - 7*i**4 + 26*i**4)*(-2*i + 6*i - 2*i) + 4*i**5 + 11*i**5 - 9*i**5.
49*i**5 + i
Expand (-q - 3*q + 2*q)*(-2*q**3 - 1 + 1) + (-3 + 2 + 3)*(36*q**4 + 132*q**2 - 132*q**2).
76*q**4
Expand 0 + 2*m + 0 + (-m - m + m)*(3 - 6 + 0) + 0*m + 1 - m - 5.
4*m - 4
Expand (2*d**4 + d**4 - d**4)*(1 - 85*d + 81*d + 296*d).
584*d**5 + 2*d**4
Expand -2*o**4 + 0*o**4 + o**4 + (-2*o**3 - o**3 + 5*o**3)*(76734 + 334*o - 76734) + 2 - 2 - 2*o**4.
665*o**4
Expand (0 - 3*w + 0)*(2 + 3 - 10).
15*w
Expand (0*z**3 - z**3 + 2*z**3)*(4*z + z - z) + 3*z**4 - 2*z**4 + 5*z**4.
10*z**4
Expand (-t**3 - 2*t + 2*t)*(-3 + 2 + 2) - 46*t**3 + 129*t**3 + 5*t**2 - 3*t**2.
82*t**3 + 2*t**2
Expand 12*t**2 - 5*t**2 + 3*t**2 + (-2 - 4*t + 2)*(-4*t - t + 6*t).
6*t**2
Expand (-1843*g + 1843*g + 91*g**2)*(-2*g - g + 2*g)*(-3 + 1 + 3).
-91*g**3
Expand (-3*r**2 - 2*r**2 + 3*r**2)*(2 + 0 + 4)*(-4*r + 6*r + 6*r).
-96*r**3
Expand (1 - 2*n - 1)*(0 - 3*n + 0) + (0 + 0 + 2)*(2 - 2 - n**2) + n**2 + 6*n**2 - 2*n**2.
9*n**2
Expand (1 - 1 - 2*w**4)*(-2 - 3 - 5 + (-2 - 2 + 5)*(-3 + 4 - 2) + 2 + 2 - 2).
18*w**4
Expand -1 + 2*b**4 + 1 + (2*b + 1 - 1)*(845 - 845 + 301*b**3).
604*b**4
Expand (3 - 3 - 2*i)*(3 - 1 - 3 + (-1 + 4 - 1)*(0 + 1 - 2) + (363 + 607 - 431)*(1 - 3 + 0)).
2162*i
Expand -64*r - r**3 + 64*r + 41*r**4 + (1 - 2*r**2 - 1)*(-4*r**2 + 4*r**2 + 2*r**2).
37*r**4 - r**3
Expand (-4*s + 11 - 11)*(3 + 1 - 5)*(-36 + 37 - 7*s**2 + s + 18*s**2).
44*s**3 + 4*s**2 + 4*s
Expand 2*n - n + n + 2*n + 0 + 0 + (-2*n - 4*n + 4*n)*(1 + 1 - 4) + 5*n + 6*n - 15*n + 0*n - n + 3*n - 2*n + n + 4*n.
9*n
Expand (3*l**2 - 6*l**2 + 2*l**2)*(10 - 25 - 14)*(-l + 0*l + 0*l).
-29*l**3
Expand (0 + 0 - 2*t**2 + (2 - 3 + 3)*(3*t**2 - 6*t**2 + t**2))*(9*t**3 - 6*t**3 - 4*t**3) + 0*t**5 + t**5 - 2*t**5.
5*t**5
Expand (5*b**2 + 2*b**4 - 5*b**2)*(-4 + 4 + b) + 3*b**5 - 5*b**5 + 4*b**5 + (0*b**4 + b**4 - 3*b**4)*(5 - 13*b - 6 + 0).
30*b**5 + 2*b**4
Expand (1071*j**2 - 2 - 2159*j**2 + 1080*j**2)*(j - j + 2*j**3).
-16*j**5 - 4*j**3
Expand (-1 + 2 - 3)*(2*q**2 + 2*q**2 - 6*q**2) + (4 + 4 - 2)*(-3*q**2 - q**2 - 2*q**2).
-32*q**2
Expand (0 - 2 + 3)*(-v - v + 4*v) + (37 + 38 - 72)*(2*v - 2*v - v).
-v
Expand -114 + 114 - 8*s**5 + (s**2 + 0*s**2 - 2*s**2)*(2*s**3 + 0*s**3 + s**3) - 4*s**5 + 7*s**5 + 2*s**5 + s**2 - 2*s**3 - s**4 + s**5 + 0*s**4 - 2*s**2.
-5*s**5 - s**4 - 2*s**3 - s**2
Expand 3*a**2 - 4*a**2 - 2*a**2 + 2*a**2 + 0*a**2 - 3*a**2 + (3 - 4 - 1)*(0*a**2 + a**2 + a**2) + (2*a**2 - 12*a**2 - 8*a**2)*(-3 + 1 + 4)*(4 - 2 - 3).
28*a**2
Expand ((-2 - 3*n + 2)*(7*n**2 - 3*n**2 + n**2) + 4*n**2 - 4*n**2 + n**3)*(0*n + 4*n + 6*n).
-140*n**4
Expand (2*p - 1 + 1)*(19 + 16 + 4)*((1 + 0 - 2)*(2 + 0 - 1) + (-4 + 2 + 3)*(-4 + 1 + 1)).
-234*p
Expand (-p - 194 + 153 + 2*p)*(p + 2 - 2).
p**2 - 41*p
Expand (-11*k**5 - 6*k + 6*k)*(-14 - 41 + 6).
539*k**5
Expand ((4*b - b - b)*(-3 + 7 - 2) + 3*b - 2*b + b + 0*b - 2*b - b)*(8 + 2*b**2 - 8).
6*b**3
Expand (-1 + 58 + 6)*(-2 - 5 + 3)*(-3 + 3 - r).
252*r
Expand o**3 - o**3 + o**5 + (-28*o**4 + 3*o**4 - 2*o**4)*(2*o + 3 - 1 + 4*o).
-161*o**5 - 54*o**4
Expand (-4*k + 0*k + 2*k)*(-k**2 + 0 + 0) - 2864*k + 2865*k - 12*k**3 - 8*k**3
|
{
"pile_set_name": "DM Mathematics"
}
|
e?
False
Is 167168257 a prime number?
False
Is 278612683 a composite number?
False
Is 2906129 a prime number?
True
Is 132930179 prime?
False
Is 1491041 prime?
True
Is 59655719 prime?
False
Is 6605647 composite?
True
Is 38349113 a composite number?
True
Is 12451423 prime?
False
Is 296579 prime?
True
Is 410658199 a prime number?
False
Is 24316421 a prime number?
True
Is 12462809 a composite number?
False
Is 6167159 composite?
True
Is 5805979 a composite number?
True
Is 76720661 a composite number?
False
Is 3034747 a composite number?
True
Is 155106397 composite?
True
Is 274067 a prime number?
False
Is 331964207 a prime number?
True
Is 74751517 a composite number?
True
Is 36588739 a composite number?
True
Is 593837 prime?
False
Is 1926521 a prime number?
True
Is 5841357 composite?
True
Is 13903087 a composite number?
True
Is 1166287 a prime number?
True
Is 179261773 prime?
False
Is 18330603 composite?
True
Is 8095111 prime?
False
Is 10725187 composite?
True
Is 16599823 a prime number?
True
Is 446608991 a composite number?
False
Is 171895431 a composite number?
True
Is 701047 a composite number?
False
Is 1698239 a composite number?
True
Is 9663281 prime?
False
Is 287887 a prime number?
True
Is 21158231 prime?
True
Is 1875217 composite?
True
Is 5060569 composite?
True
Is 10534051 composite?
True
Is 18830761 a composite number?
True
Is 3100501 composite?
False
Is 10711387 composite?
False
Is 2936023 a prime number?
True
Is 441971 a prime number?
True
Is 692751577 a composite number?
True
Is 969083 prime?
True
Is 63764377 a composite number?
False
Is 101984821 composite?
False
Is 40141711 a prime number?
False
Is 347938391 a prime number?
False
Is 24252913 a prime number?
False
Is 1841039 a composite number?
False
Is 2881699 composite?
False
Is 7665833 prime?
False
Is 1388437 prime?
False
Is 126239647 a composite number?
True
Is 2343277 prime?
False
Is 10133 composite?
False
Is 6541247 a prime number?
True
Is 2313481 prime?
False
Is 67807931 a prime number?
False
Is 13825157 a composite number?
False
Is 44735773 a prime number?
False
Is 75761579 prime?
True
Is 9067699 a composite number?
True
Is 107980897 a prime number?
False
Is 23972422 a composite number?
True
Is 6865931 prime?
True
Is 5262691 a composite number?
True
Is 3133027 a composite number?
False
Is 2243587 composite?
False
Is 30299459 composite?
False
Is 52146869 prime?
True
Is 1051021 composite?
True
Is 11377937 prime?
True
Is 7264087 a composite number?
True
Is 2807753 a composite number?
True
Is 4789403 composite?
True
Is 7512007 composite?
True
Is 3764899 a composite number?
False
Is 228354079 a composite number?
True
Is 688097 a prime number?
True
Is 2923159 prime?
False
Is 18702217 prime?
True
Is 135252371 composite?
False
Is 1061268679 a composite number?
False
Is 47002759 composite?
True
Is 16167377 a prime number?
True
Is 494466727 a composite number?
False
Is 1054517 a composite number?
False
Is 1021855 prime?
False
Is 16480487 a composite number?
False
Is 2228047 composite?
True
Is 6642793 composite?
False
Is 20279647 composite?
False
Is 719317 prime?
False
Is 645961 a prime number?
False
Is 10800847 prime?
False
Is 3042719 a prime number?
True
Is 5636021 composite?
True
Is 376542713 prime?
False
Is 6717947 a composite number?
False
Is 482844077 a composite number?
True
Is 49456103 a composite number?
False
Is 14748059 a composite number?
True
Is 16105339 a prime number?
True
Is 56958199 a prime number?
False
Is 327899483 a prime number?
False
Is 68798153 prime?
True
Is 8250329 a prime number?
True
Is 1318579 a prime number?
True
Is 9002593 prime?
False
Is 467640757 a prime number?
True
Is 56180333 a prime number?
False
Is 749129 composite?
False
Is 431256667 prime?
True
Is 73119109 composite?
True
Is 78011673 composite?
True
Is 8903 prime?
False
Is 2739089 prime?
True
Is 3382229 a composite number?
False
Is 978599 composite?
False
Is 7918411 a composite number?
False
Is 9959251 a prime number?
True
Is 40001291 composite?
True
Is 12051941 a composite number?
True
Is 376665077 prime?
False
Is 10652413 composite?
False
Is 37949101 composite?
True
Is 53995537 a composite number?
False
Is 373019 composite?
False
Is 5774039 composite?
True
Is 5585 a composite number?
True
Is 671911 a composite number?
False
Is 12081791 prime?
True
Is 7126109 a prime number?
True
Is 9547269 a composite number?
True
Is 33527929 a prime number?
True
Is 6596269 a prime number?
False
Is 473573 composite?
True
Is 98270803 a prime number?
False
Is 17147023 prime?
True
Is 1524469 a composite number?
False
Is 3722083 composite?
False
Is 5694499 prime?
True
Is 26710889 a composite number?
True
Is 342615563 a prime number?
True
Is 186456797 prime?
True
Is 21910157 a prime number?
True
Is 13351589 a composite number?
False
Is 47448614 a composite number?
True
Is 9287587 prime?
False
Is 6915967 a composite number?
False
Is 1167277 composite?
False
Is 10593421 a composite number?
False
Is 8474189 a prime number?
False
Is 1103929 composite?
True
Is 99931099 a composite number?
False
Is 3084173 composite?
False
Is 6187799 a composite number?
False
Is 33452017 composite?
False
Is 557369363 a prime number?
True
Is 12312533 composite?
True
Is 170591347 composite?
False
Is 115861751 prime?
True
Is 7661327 a prime number?
False
Is 18745823 a composite number?
True
Is 13716149 prime?
True
Is 914701 a composite number?
False
Is 159531299 prime?
True
Is 588077 a prime number?
False
Is 1345973 prime?
True
Is 436253 prime?
True
Is 2660909 a composite number?
True
Is 7689691 a prime number?
False
Is 570373 a composite number?
False
Is 12793093 a composite number?
False
Is 2645453 a composite number?
False
Is 27318497 a composite number?
False
Is 464431 prime?
False
Is 4329993 composite?
True
Is 18545101 composite?
True
Is 3730967 composite?
False
Is 48444581 composite?
True
Is 28631969 a prime number?
False
Is 3250409 prime?
False
Is 11720867 composite?
True
Is 39174999 a prime number?
False
Is 27723107 a composite number?
True
Is 81807263 composite?
False
Is 860181533 composite?
False
Is 26750077 a prime number?
False
Is 24317813 a composite number?
True
Is 9908033 a composite number?
False
Is 110161 composite?
False
Is 2645639 a prime number?
True
Is 41855779 a prime number?
False
Is 203806489 a composite number?
True
Is 37312703 prime?
True
Is 196266251 composite?
True
Is 42307973 prime?
False
Is 53115383 a prime number?
True
Is 409307 composite?
True
Is 1122209 a composite number?
True
Is 9486283 composite?
False
Is 17031449 prime?
True
Is 93499141 a composite number?
False
Is 377059 prime?
True
Is 876071783 a composite number?
False
Is 333991771 a prime number?
True
Is 11360383 a prime number?
True
Is 87640513 prime?
True
Is 238047289 a composite number?
True
Is 1045001 a prime number?
False
Is 34209377 prime?
True
Is 251159539 a prime number?
True
Is 3771067 a prime number?
True
Is 401825717 composite?
False
Is 2654263 a composite number?
False
Is 13860211 prime?
True
Is 313817141 composite?
True
Is 61949 a prime number?
True
Is 1233971 composite?
True
Is 11779891 prime?
True
Is 2631763 a composite number?
True
Is 566054347 composite?
False
Is 24607003 a prime number?
True
Is 236167783 a composite number?
True
Is 1993031 composite?
False
Is 34382393 a composite number?
False
Is 15523309 prime?
False
Is 75605 prime?
False
Is 1426409 prime?
False
Is 3972643 prime?
True
Is 1538182 composite?
True
Is 28177447 a composite number?
True
Is 1034869 composite?
True
Is 5845793 prime?
True
Is 20132549 composite?
True
Is 53812489 a composite number?
False
Is 37095574 a composite number?
True
Is 1450367 prime?
True
Is 10793605 a composite number?
True
Is 15557089 prime?
True
Is 58081181 a prime number?
True
Is 78703 a composite number?
True
Is 29168813 a prime number?
True
Is 55624903 a prime number?
False
Is 529467 a prime number?
False
Is 23631659 a prime number?
True
Is 125661257 prime?
True
Is 5947351 a prime number?
True
Is 26659707 a prime number?
False
Is 37578317 a composite number?
True
Is 5590699 composite?
False
Is 2698079 a composite number?
False
Is 76633049 a composite number?
True
Is 83729 prime?
False
Is 526367 prime?
True
Is 1345207 composite?
False
Is 4054409 prime?
False
Is 27494057 a prime number?
False
Is 1
|
{
"pile_set_name": "DM Mathematics"
}
|
est ten.
-50
What is 0.00324516078 rounded to 3 dps?
0.003
What is 0.00698704341 rounded to six decimal places?
0.006987
Round 184.432748 to the nearest one hundred.
200
Round 0.000275645424 to five decimal places.
0.00028
Round -9396083.8 to the nearest one hundred.
-9396100
What is -175099.2218 rounded to the nearest one thousand?
-175000
What is 131.230209 rounded to 0 decimal places?
131
What is -0.00507705709 rounded to 6 decimal places?
-0.005077
What is 0.401946938 rounded to 3 decimal places?
0.402
Round 1.83584502 to 2 dps.
1.84
What is 130.44271 rounded to the nearest 100?
100
What is -2294.4532 rounded to the nearest 1000?
-2000
Round -11686482050 to the nearest 1000000.
-11686000000
Round 6897105.8 to the nearest 100000.
6900000
What is -234.560309 rounded to the nearest 10?
-230
What is 0.0073673674 rounded to 6 dps?
0.007367
Round 0.76998071 to one dp.
0.8
What is -76.173132 rounded to the nearest ten?
-80
What is 5.154006389 rounded to 2 dps?
5.15
What is -5750403 rounded to the nearest one million?
-6000000
What is -0.1727455903 rounded to five dps?
-0.17275
Round 33723.24416 to the nearest 10000.
30000
Round -0.04756321968 to two decimal places.
-0.05
What is 0.9049152751 rounded to 4 decimal places?
0.9049
Round 0.005792355 to two dps.
0.01
Round 229745543.4 to the nearest ten thousand.
229750000
Round 3896660000 to the nearest 1000000.
3897000000
Round 60890.41117 to the nearest ten thousand.
60000
What is -0.10046793 rounded to three dps?
-0.1
What is 0.0100087362 rounded to four dps?
0.01
Round 0.02680235225 to 4 dps.
0.0268
Round -0.401354403 to one dp.
-0.4
Round -0.1315503 to 4 dps.
-0.1316
What is 0.576820333 rounded to 2 dps?
0.58
What is -147.560476 rounded to the nearest integer?
-148
Round -135534.06052 to the nearest 10.
-135530
Round -0.03087198171 to 4 decimal places.
-0.0309
What is 196.9815017 rounded to 0 decimal places?
197
Round -3.5747353 to one decimal place.
-3.6
Round -0.0061194276 to 5 decimal places.
-0.00612
What is 0.00272992011 rounded to 5 decimal places?
0.00273
Round 6261.26507 to 0 decimal places.
6261
Round -1172.3545396 to one dp.
-1172.4
What is 0.0272175858 rounded to 6 decimal places?
0.027218
What is 99.0200723 rounded to 1 decimal place?
99
Round 95.9680215 to 3 dps.
95.968
Round 516541.519 to the nearest one hundred thousand.
500000
Round 0.00136176834 to 4 dps.
0.0014
What is -341653619 rounded to the nearest one hundred thousand?
-341700000
What is 633652.8484 rounded to the nearest one hundred?
633700
What is -240.96636 rounded to zero dps?
-241
What is -11756.8545 rounded to the nearest integer?
-11757
Round 24970.00217 to the nearest 100.
25000
Round 0.28353884 to one decimal place.
0.3
Round 20.5324246 to one decimal place.
20.5
Round 0.00013222081809 to seven decimal places.
0.0001322
Round 0.04313361803 to two dps.
0.04
What is 74846055500 rounded to the nearest one million?
74846000000
What is 1599751000 rounded to the nearest 1000000?
1600000000
Round -44874.6651 to the nearest one thousand.
-45000
Round -11883.75384 to the nearest ten.
-11880
Round -5217.554471 to 1 decimal place.
-5217.6
Round 0.172909824 to 2 dps.
0.17
Round -0.0000836022878 to 6 dps.
-0.000084
What is 0.0015976343 rounded to three decimal places?
0.002
Round 49738404 to the nearest 1000000.
50000000
Round 280.8719529 to the nearest integer.
281
What is -29043105.1 rounded to the nearest ten thousand?
-29040000
What is -0.000007185983619 rounded to six dps?
-0.000007
What is 0.000041423832 rounded to 7 decimal places?
0.0000414
What is -17077664 rounded to the nearest 1000?
-17078000
What is -697.3808 rounded to the nearest integer?
-697
What is -0.0003660985911 rounded to four dps?
-0.0004
Round -0.00000290205476 to seven decimal places.
-0.0000029
What is 1733478.12 rounded to the nearest one hundred thousand?
1700000
What is 0.2657952214 rounded to one decimal place?
0.3
Round -0.0000820824868 to seven dps.
-0.0000821
What is -0.02088414348 rounded to 6 decimal places?
-0.020884
Round -94562999 to the nearest 10000.
-94560000
What is 0.011857625 rounded to three decimal places?
0.012
What is -0.000709537481 rounded to 3 dps?
-0.001
What is -0.5157183549 rounded to 3 dps?
-0.516
Round 661901346 to the nearest one million.
662000000
What is -0.000010586296795 rounded to six dps?
-0.000011
What is -0.1071260188 rounded to two dps?
-0.11
What is 0.068994858 rounded to 5 dps?
0.06899
Round -0.004547812165 to 6 dps.
-0.004548
What is 0.4224904196 rounded to 3 dps?
0.422
What is -0.000080237569 rounded to six decimal places?
-0.00008
What is 652.725678 rounded to one decimal place?
652.7
Round 0.000160040815 to seven dps.
0.00016
Round 0.000061958702 to five decimal places.
0.00006
What is 1794699.6704 rounded to the nearest 100?
1794700
What is 227669390 rounded to the nearest 100000?
227700000
What is 26538194 rounded to the nearest one hundred thousand?
26500000
What is 488044784.6 rounded to the nearest 10000?
488040000
Round -0.024944462 to 3 dps.
-0.025
Round -20584710.8 to the nearest 1000.
-20585000
Round -0.157730152 to 3 decimal places.
-0.158
Round 36251448.5 to the nearest 1000.
36251000
Round -3.497887165 to 1 dp.
-3.5
Round 95396966 to the nearest 10000.
95400000
Round -140841.414 to the nearest 10000.
-140000
Round -0.00040687857 to 6 decimal places.
-0.000407
What is -1005231.269 rounded to the nearest one hundred thousand?
-1000000
What is -3.8069184 rounded to three decimal places?
-3.807
Round 1618627230 to the nearest 1000000.
1619000000
What is -170.69799 rounded to 0 decimal places?
-171
What is 1510.125243 rounded to the nearest 10?
1510
Round 0.626101 to one dp.
0.6
Round 3154.67927 to 1 dp.
3154.7
What is 2439951870 rounded to the nearest 100000?
2440000000
What is -1694264.58 rounded to the nearest one thousand?
-1694000
What is 151448203.8 rounded to the nearest one hundred thousand?
151400000
Round -927002649 to the nearest one hundred thousand.
-927000000
Round 841.39507 to one dp.
841.4
What is 0.04844311903 rounded to 5 decimal places?
0.04844
Round 0.00039330938 to four decimal places.
0.0004
What is 4740.20052 rounded to 0 decimal places?
4740
Round 328.36281 to the nearest one hundred.
300
What is 0.1072296757 rounded to four dps?
0.1072
What is -41286.0389 rounded to 0 decimal places?
-41286
What is 0.05083440323 rounded to 2 dps?
0.05
Round 0.0136833351 to 4 decimal places.
0.0137
Round 7848172.41 to the nearest 100.
7848200
What is 0.00044317229 rounded to six dps?
0.000443
Round -2246.1156864 to the nearest integer.
-2246
Round 12093.83766 to the nearest integer.
12094
Round -0.0000103632564 to seven decimal places.
-0.0000104
What is -19290.716961 rounded to 1 dp?
-19290.7
Round -15137.6561 to the nearest ten.
-15140
What is -31288786.74 rounded to the nearest one thousand?
-31289000
Round -48756.1458 to the nearest integer.
-48756
What is -26.9421647 rounded to the nearest integer?
-27
Round 59691.028 to the nearest ten.
59690
Round -0.0001994400935 to 7 dps.
-0.0001994
What is -507.796447 rounded to the nearest 100?
-500
What is 0.845052857 rounded to three decimal places?
0.845
Round -3796568.01 to the nearest one hundred thousand.
-3800000
What is -987876.38 rounded to the nearest 1000?
-988000
Round 44.00386593 to 3 decimal places.
44.004
Round -0.000001804355195 to seven dps.
-0.0000018
Round -0.0393129216 to five dps.
-0.03931
What is -510.62017 rounded to the nearest integer?
-511
What is 0.000092413097 rounded to five dps?
0.00009
Round -799.56519 to the nearest ten.
-800
Round -0.00127824798 to 5 dps.
-0.00128
Round 0.25784925 to two decimal places.
0.26
Round -79040.344 to the nearest 10000.
-80000
What is 0.01074297747 rounded to 7 decimal places?
0.010743
What is 3000.52307 rounded to the nearest one hundred?
3000
What is 16586.88887 rounded to the nearest ten?
16590
What is 2202.7078 rounded to the nearest 10?
2200
Round 0.0000018627896 to 6 dps.
0.000002
What is 16745.13546 rounded to 0 decimal places?
16745
What is -0.00380532848 rounded to 7 dps?
-0.0038053
What is 0.000183254551 rounded to seven dps?
0.0001833
Round 1487.0372 to the nearest 1000.
1000
What is 78484153.76 rounded to the nearest ten thousand?
78480000
What is 0.00000356481151 rounded t
|
{
"pile_set_name": "DM Mathematics"
}
|
t b be (-4 - -5)*-4 - -9. Suppose 0*m = -b*m + 1150. Round m to the nearest one hundred.
200
Let p = 165 + -165.000421. What is p rounded to 4 dps?
-0.0004
Let j = 11.16 + -11. Let f = j - 0.15955. Round f to 4 decimal places.
0.0005
Let u = -25.64273 - -64.8986. Let x = -0.74321 - u. Let s = -40 - x. Round s to four decimal places.
-0.0009
Let y = 2 + 17. Suppose 11*b = y*b - 23200000. Round b to the nearest 1000000.
3000000
Let j = 1104.998361 - 1105. What is j rounded to 4 dps?
-0.0016
Suppose 4*v - 8 = 2*o + 6*v, -2*o = -3*v + 18. Let t be (-8)/(-24) - 4/o - 7501. What is t rounded to the nearest one thousand?
-8000
Let i = 4825.0004394 - 4825. Round i to five dps.
0.00044
Let k(b) = b**3 + 8*b**2 - 2*b + 10. Let f be k(-8). Suppose 2*g - 35 + 83 = 2*a, f = -g + 2*a. Round g to the nearest 10.
-20
Let k = 1.6 - 8. Let a = -7 - k. Let n = a - -0.64. Round n to two decimal places.
0.04
Let d = -12920.9 - -12889.9022. Let u = d + 31. What is u rounded to 4 dps?
0.0022
Let v = 15.05 + -15. Let d = 0.45 - v. Let z = d - 0.08. What is z rounded to 1 dp?
0.3
Let p = -238.6153294 - -248.81532789. Let y = 0.6 - 10.8. Let r = p + y. What is r rounded to 7 dps?
-0.0000015
Suppose 175200 = 12*f - 4*f. Round f to the nearest 1000.
22000
Let y = -0.117 - -0.126633. What is y rounded to three decimal places?
0.01
Let j = 339.82 + -344. Let m = j - -4. What is m rounded to 1 dp?
-0.2
Let j(b) = b**2 - 5*b + 7. Let l be j(5). Let z = l + -2. Suppose -4*g + 34508 = z*t, 0*t - 5*t - 5*g = -34510. Round t to the nearest 1000.
7000
Suppose -v - 4*v - 530000 = 0. Round v to the nearest 10000.
-110000
Suppose -10*m = -7*m - 36. Let f(i) = 68*i - 43. Let k be f(m). What is k rounded to the nearest 100?
800
Suppose 0 = -49*x + 36*x - 1950. Round x to the nearest 1000.
0
Suppose -399*y = -394*y + 2*l + 612008, 0 = -3*l - 12. Round y to the nearest 1000.
-122000
Suppose -3*g = 3*g - 48. Let r(b) = 2*b**2 - 8*b - 18. Let d be r(g). Let v = 91 - d. What is v rounded to the nearest 10?
50
Let g = -0.002 + 0. Let t = -8.7 + 8.7. Let a = g + t. What is a rounded to two decimal places?
0
Let r = -85.2157 - 0.0843. Let i = -93 - r. Round i to zero dps.
-8
Suppose 2*x - 16 + 12 = 0. Let b be (-3 + x/1)*-109. What is b rounded to the nearest 10?
110
Let o = -0.058 - -0.438. What is o rounded to zero dps?
0
Let k = -0.86 - -0.86000254. What is k rounded to 7 decimal places?
0.0000025
Let d = 2476121 + -4623121. What is d rounded to the nearest one hundred thousand?
-2100000
Let m be (2291375/(-69))/(2/48*1). What is m rounded to the nearest one hundred thousand?
-800000
Let p(i) = -6637*i + 6. Suppose q = 5*l + 11, -7*q + 8*q + 7 = -4*l. Let y be p(l). Round y to the nearest one thousand.
13000
Suppose 3*m = 7*m - 88. Let d be (-4)/m - (-8870)/22. Suppose 4*w = 5*g - 504, w - d = -4*g + 4*w. Round g to the nearest one thousand.
0
Let i(l) = l**3 - 19*l**2 - 19*l - 25. Let b be i(20). Let g(k) = -2*k**2 + 2*k + 8. Let x be g(b). Round x to the nearest 10.
-50
Let i = -272 - -272.00000287. What is i rounded to 6 dps?
0.000003
Let i = -7 + 6.47. Let g = i - 0.23. Round g to one dp.
-0.8
Let p = 3547269 + 1522731. What is p rounded to the nearest one hundred thousand?
5100000
Let a = 0.04 + 2.96. Let s = -1259.9888 - -1257. Let g = a + s. What is g rounded to three decimal places?
0.011
Let m = -1240 + 114. Round m to the nearest 10.
-1130
Let h = 3466019 - 1896019. What is h rounded to the nearest one million?
2000000
Let q = -9.03 - -0.03. Let p = 4820843 + -4820852.0000032. Let c = p - q. What is c rounded to 6 dps?
-0.000003
Let a = 11675 - 11674.4521. What is a rounded to two decimal places?
0.55
Let z = 58 - 44.7. Let i = 0.242087 - -13.064213. Let d = i - z. What is d rounded to 3 dps?
0.006
Let s(l) = -4*l**3 + 6*l**2 - 3. Let g be s(-5). Round g to the nearest 10.
650
Let u(o) = -40334*o + 4. Let j be (-35)/10*(-12)/7. Let c be u(j). Round c to the nearest 10000.
-240000
Let q = -0.54 + 0.540533. What is q rounded to 5 decimal places?
0.00053
Let y = -101.27 - -24.25. Round y to the nearest integer.
-77
Let o = 21333848 - 21333872.999969. Let x = o - -25. What is x rounded to 5 decimal places?
0.00003
Suppose 0 = 4*s + 2*f + 3626, 0 = 3*s - 33*f + 36*f + 2727. What is s rounded to the nearest 10?
-900
Suppose 4*x + 4*l + 10 = 2, 2*l + 1 = -5*x. Let f be (-2834910)/(-315) - (x - 18/14). What is f rounded to the nearest one thousand?
9000
Let u = 14553.09589 - 39273.075912. Let p = 24720.2 + u. Let t = p - 0.22. Round t to 5 decimal places.
-0.00002
Let w = 147 - 146.999999306. What is w rounded to 7 dps?
0.0000007
Let r = -8619.9993062 + 8620. Round r to 5 dps.
0.00069
Suppose -d + 110006 = 3*a, 6 = -7*a + 10*a. Round d to the nearest 100000.
100000
Let n = 319.0451 + -319. Round n to two decimal places.
0.05
Let c = 0.035 + 4.565. Let t = c + -5. Let o = t + 0.18. What is o rounded to one decimal place?
-0.2
Let p = 25.68 - 0.88. Let y = 27 - p. Let v = y - 1.987. Round v to two decimal places.
0.21
Let q = -0.065 + 0.495. Let k = q + -0.517. Round k to 2 dps.
-0.09
Let k = 169.502 + -165.00274. Let v = -4.5 + k. Round v to 4 dps.
-0.0007
Let b = 1543.04505 + -1543. Let k = 0.045 - b. Round k to three decimal places.
0
Let l(x) = 10104*x + 112. Let i be l(-3). Round i to the nearest ten thousand.
-30000
Let s = -0.1652 - -0.1662103. Round s to four dps.
0.001
Let f = 0.445 - 4.385. Round f to zero decimal places.
-4
Let g(d) = -d**2 - 7*d + 3. Let t be g(-7). Suppose t*s = -1184 + 3881. Suppose -7*f + 37999 = s. What is f rounded to the nearest 1000?
5000
Let n = 263.3 - 377. Let a = 112 + -219. Let f = n - a. Round f to zero dps.
-7
Let z be (-4)/(-30) + ((-4829997305)/75)/(-7). Let u be z + 3/(6/10). Round u to the nearest one million.
9000000
Let s = -423.403 + 424. Let g = s - 3.552. Let u = 3 + g. What is u rounded to 2 decimal places?
0.05
Let p = 24.1 + -23.97008. Let q = p + -0.13. Round q to 5 decimal places.
-0.00008
Let a be (1 + (-27)/(-6))/(3/6). Suppose -822000 = -8*f + a*f. What is f rounded to the nearest one hundred thousand?
-300000
Let g = 320.385 - 314. Let s = g - 0.085. What is s rounded to the nearest integer?
6
Let s = -1862.37 - -1870. Let a = 3.618 - -0.032. Let v = s - a. Round v to one dp.
4
Let f = 4.36 - 5.69. What is f rounded to one decimal place?
-1.3
Suppose 0*z = z. Suppose t = -x + 5718490 - 1100075, 5*x + t - 23092059 = z. Suppose 3*m = 7681589 + x. What is m rounded to the nearest one million?
4000000
Let w be 0 + (45000/(-21))/((-13)/(-35854)). What is w rounded to the nearest one hundred thousand?
-5900000
Let r(j) = -4 + 13 - 2 + 3 + 38107*j. Let h be r(5). Suppose -y = -26545 + h. What is y rounded to the nearest ten thousand?
-160000
Let m = -0.11 - -0.144. Let y = -73.95 - -66.316. Let p = m + y. Round p to the nearest integer.
-8
Let i = -54.052 - -17.448. Let o = -0.104 - i. What is o rounded to the nearest integer?
37
Let w = 136 + -131. Suppose -w*k = 15*m - 11*m - 265012, -2*k - 5*m + 106015 = 0. What is k rounded to the nearest 10000?
50000
Let h = -0.84 - -0.48. Round h to one dp.
-0.4
Let i = 8008 + 7994.2. Let p = -16003.60007 + i. Let w = p - -1.4. Round w to 4 dps.
-0.0001
Let y = -148.6 - -167. Let s = y - 5.9. Round s to the nearest integer.
13
Let k = -11.34 + 11. Let j = 34 + -34.19. Let h = k - j. Round h to one decimal place.
-0.2
Let y = 1.382 + 0.088. Let v = y - -0.03. Let o = v + -1.49944. Round o to four dps.
0.0006
Suppose r + 8 = 3. Let s = -9 - r. Let c be 1620012/(1 - 4) - s. What is c rounded to the nearest 100000?
-500000
Let o = 2289338272.99999924 - 2289338220. Let m = o + -53. Round m to seven dps.
-0.0000008
Let b(s) = -3*s - 8*s**2 + s**2 + 15 + 2*s + s**3 - 23. Let n be b(-8). Round n to the nearest one hundred.
-1000
Suppose 5*m + m = -24. Let u = 7 + m. Let q be 124209/(-54) + u/18. What is q rounded to the nearest one thousand?
-2000
Let r = 37.25 + -37. Let q = r - 6.75. What is q rounded to the nearest integer?
-7
Let p = -561303.1007 - -561844.2. Let q = 541 - p. Round q to two decimal places.
-0.1
Let l = 2.51 - -4.23. What is l rounded to the nearest integer?
7
Let u(y) = -22569*y**2 + 5*y + 9. Let r be u(-7). Let w = 1992319 + r. Suppose 4*s - 473588 = w. What is s rounded to the
|
{
"pile_set_name": "DM Mathematics"
}
|
*i for b.
7
Solve 0 = -3*d - p + 25, -251*d - 18 = -254*d + 6*p for d.
8
Solve 25*d = y - 71, 168 = -2*d - 5*y + 142 for d.
-3
Solve 0 = -4*a - 1794*p + 1789*p + 14, -5*p = -a - 34 for a.
-4
Solve -2*w + 36 = -2*q, 183715*q - 183716*q + 21 = 2*w for w.
13
Solve -125*k - 3*u = -127*k + 17, 4*k = 3*u + 31 for k.
7
Solve 4*v + 11 = -s, s = -20*v + 17*v - 7 for s.
5
Solve -2*n = 4*l - 12, -1363*l + 1360*l + 6 = 3*n for n.
-2
Solve 1581*g - 1576*g - 5 = n, g = 3*n + 15 for g.
0
Solve -3 = -2*s - 0*s + 3*t, t + 21 - 16 = 0 for s.
-6
Solve 11*r - 5*y = 16*r + 10, 0 = -12*r + 2*y - 52 for r.
-4
Solve -6 = 101*a - 98*a - 2*x, -3*a - 4*x - 6 = 0 for a.
-2
Solve 61*g - 62*g + 4*i - 3 = 0, -4*g = 5*i - 9 for g.
1
Solve 6*b + 23 = -u, 0 = 5*u + 5 - 10 for b.
-4
Solve 5*p + 3*s + 35 = 0, 0 = -5*p - 36*s + 35*s - 35 for p.
-7
Solve 0 = -18*h + 17*h + r + 10, -2*h - 2*r = 0 for h.
5
Solve 22 = -2*r - 4*d, 2*r - 3716*d - 2 = -3714*d for r.
-3
Solve 4*j + 4*v + 12 = 0, -580*v = j - 604*v - 97 for j.
1
Solve 4*d = 2*t - 36, 3*t - 44 = -367*d + 371*d for t.
8
Solve -3*k - 3*s + 24 = 69, 5*k + 62 = -4*s for k.
-2
Solve -16*y - 23*a + 24*a = 71, 79 = -11*y + 2*a for y.
-3
Solve 12253*u - 12254*u - 5 = c, -3*c - 11 = 2*u for u.
-4
Solve -s - 5*f - 1 = 0, 78027*s - 4*f - 24 = 78022*s for s.
4
Solve -13 = -5*x - m, 4*x - 4*m = -729 + 749 for x.
3
Solve -4*p = -3*w - 28, 35*p + w = 33*p + 4 for p.
4
Solve a - 4*b + 139 = 137, a - b - 1 = 0 for a.
2
Solve 0 = -2*y - 13*j - 28, 51 = 5*y + 3*j + 3 for y.
12
Solve -3*c - 3*s + 68 = 65, 5*c - 3*s - 37 = 0 for c.
5
Solve 0 = -x + 4*s + 12, 8*x + 2*s = 7*x - 18 for x.
-8
Solve 102*n - 105*n = -9, 2*p + 3*n + 11 = 0 for p.
-10
Solve 3*a + 4*y = -402 + 385, -2 = -2*a + 4*y for a.
-3
Solve 5*p = 3*x - 8, 64*x - 69*x = -5*p - 30 for x.
11
Solve 494*s - 498*s + 8 = 0, -2*r + 3*s + 2 = 0 for r.
4
Solve 0 = 2*d + 261*t - 256*t - 20, -3*t + 12 = d for d.
0
Solve 11843*u + 2*r = 11848*u + 14, 4*r = -u - 16 for u.
-4
Solve p + 8 = -182*j + 180*j, -17 = 3*j + 4*p for j.
-3
Solve 12*z + 7 = 15*z + s, -2*z + 13 = -s for z.
4
Solve 47*b - 43*b + 5*x = -20, b + 2*x + 11 = 0 for b.
5
Solve 0 = -k - 5*v + 21, 0 = -3930*k + 3925*k + 5*v - 15 for k.
1
Solve 4*m - 4*f - 122 = -106, -20 = -12*m - 2*f for m.
2
Solve -498*d + 256*d - 24 = -246*d - 3*w, d + 8 = w for d.
0
Solve -2*j - 14*y = -16*y - 42, 5*j - 36 = 2*y for j.
-2
Solve -285*u - 7*i - 30 = -286*u, 3*i = -4*u + 27 for u.
9
Solve 103*w - 105*w = -2*q - 20, 0 = 2*w - q - 15 for w.
5
Solve 1350*w - 1352*w - 4*d = -4, d + 9 = 2*w for w.
4
Solve d + 8 = 366*v - 368*v, -5*v + 2 = -3*d for v.
-2
Solve -2*n - 4*z = -12, -14 + 26 = -n + 7*z for n.
2
Solve 0 = -y - 3*d - 1, 587*y - 586*y - 4*d = 6 for y.
2
Solve -3*w + 3*c = -6*w + 6, -w - 13 = 4*c for w.
7
Solve -j = 3, 0 = -z + 1033*j - 1030*j + 12 for z.
3
Solve 0 = -3*j - j - 0*j + 12, 0 = -743*q + 746*q - 11*j + 27 for q.
2
Solve -g = 11*t - 493 + 535, -5*t = -4*g + 28 for t.
-4
Solve 5*p + 5*n - 10 = 0, -14040*p = -14033*p + 2*n - 4 for p.
0
Solve k = 5*z + 25, -3*z = 4*k + 41 - 49 for z.
-4
Solve -4*h = -2*g - 2, -3*h + 2*g - 314280 = -314279 for h.
3
Solve 3*t = 4*h - 1, 121*t = h + 125*t + 14 for h.
-2
Solve -5*s + w - 29 + 15 = 0, 48 = -3*s + 5*w for s.
-1
Solve -1659*w = -u - 1660*w, 2*w = 4*u + 18 for u.
-3
Solve 0 = 3*s - 2*f + 6 + 2, 2*s + 1000*f = 1001*f - 5 for s.
-2
Solve 0 = 2*a - 2*y + 6, 3*y + 2082 - 2099 = -5*a for a.
1
Solve 78*u - 76*u + 48 = -2*x, -u + x + 28 = 0 for u.
2
Solve 0*z + z - 10 + 12 = -y, -25 = 5*z for y.
3
Solve -3*z = -4*f - 32, -1212*z + 1216*z - 52 = 3*f for f.
4
Solve -67*n + 133*n = 61*n + 2*t + 4, 2*t = -4 for n.
0
Solve 0 = 4*l + 5*t + 44, 1148*l - 1153*l = 5*t + 50 for l.
-6
Solve n - 21 = -2*m, -206*n + 209*n = -2*m + 31 for n.
5
Solve -3*a + 3*f = -3, -2599*f = -2600*f - 1 for a.
0
Solve -5*g - 18 = -74*k + 73*k, -3*g - 28 = 8*k for g.
-4
Solve -3*t + 10 = 2*n, 31*t = 14*n + 32*t - 150 for n.
11
Solve -27*w + 18 = -23*w + 3*x, 1 = -2*x - 3 for w.
6
Solve l + 1 = k, 4*k = 30*l - 32*l - 8 for l.
-2
Solve -16*b - 16 = -12*b - q, -4*q + 13 = b for b.
-3
Solve 23 = -3*d + 4*s, -155*d - 7*s - 22 = -157*d - 9*s for d.
3
Solve 16*r - 14*r = -4*w + 2, 2*w = -2*r - 6 for w.
4
Solve -2*d = -2*s + 6, 43*d = 47*d - 3*s + 11 for d.
-2
Solve f - a = 4, -20 = -2174*f + 2171*f + 5*a for f.
0
Solve 1882*m = -3*u + 1880*m + 12, 8*u - 30 = -5*m for u.
0
Solve 2*j + 24 = 5*s, -4 = 5*s + 1484*j - 1472*j for s.
4
Solve 4*c = 4*y, -5*c + 1392*y - 1389*y - 2 + 2 = 0 for c.
0
Solve -242*y + 237*y - 6 = -2*h, 0 = -h + 2*y + 3 for h.
3
Solve 4*g + 76 = -2*o, 4*g = 5*o - 271 + 223 for o.
-4
Solve -21357*j + 3*b + 4 = -21358*j, -3*j - 4*b = 12 for j.
-4
Solve b = -2*n + 7, -5*n = 4042*b - 4038*b - 25 for b.
5
Solve 0 = -g - 5*x + 5, 21 - 16 = g + 3*x for g.
5
Solve 251861*j - 52 = 251874*j + 2*y, j - 4*y + 4 = 0 for j.
-4
Solve 2*f + m + 4378 = 4377, 5*m - 8 = 3*f for f.
-1
Solve -544*u = -540*u + 2*n + 18, 0 = 2*u + 10*n + 18 for u.
-4
Solve -169*j = 4*r - 164*j - 13, 3*j - 5 = 5*r + 5*j for r.
-3
Solve -80 = -o + 5*c - 56, 57*o - 55*o = -c - c for o.
4
Solve 6*r - 7*r = v + 9, -v - 11*r - 99 = 0 for v.
0
Solve -33*k - 12 = 3*z - 36*k, z = 5*k - 8 for z.
-3
Solve -28 = -3*c - 2*m, -c - 13*m = -0*m - 108 for c.
4
Solve 4*o - 12 = 4*u - u, -o + 5*o = 24 for u.
4
Solve -5*w + 45*j - 47*j - 4 = 0, -2*w = -3*j - 6 for w.
0
Solve -23*b + 392*q = 396*q - 518, -2*q - 60 = -3*b for b.
22
Solve 3 = 3*u - 4*u, d - 4*u + 125 = 142 for d.
5
Solve -2*s = 118*z - 120*z - 6, -s = 3*z + 13 for z.
-4
Solve 27 = 4*s - 5197*k + 5192*k, -2*k + 42 = 5*s for s.
8
Solve -17*g = -14*g - 3*u + 3, 5 = -3*g + 4*u for g.
1
Solve -3*o - 22 = 5*f - 34, -3*o + 3 = 2*f for o.
-1
Solve 3*a - 278*i + 281*i = 15, 3*i = -4*a + 18 for a.
3
Solve 99*b = 100*b + 2*f, 0 = 4*b - f for b.
0
Solve 1545*o + i + 18 = 1540*o, 3*i + 14 = -5*o for o.
-4
Solve -5*n = 2*k - 25, 39 - 31 = -4*n + 4*k for n.
3
Solve -5*l - 152 = 2*s - 154, 5*l = 2*s + 18 for s.
-4
Solve -3*q = -2*r + 5, 153*q - 7 = 158*q - 3*r for q.
1
Solve -7*v = 4*a - a - 53, -45 = 2*v - 102 + 41 for a.
-1
Solve 0 = 3*q - 4*l + 6, -1722*q = -1727*q + 3*l - 21 for q.
-6
Solve i - 10 = -3*y, -139*i = -134*i + 14*y - 46 for i.
-2
Solve 5*h + 3*b + 174 - 176 = 0, 5*b = -3*h - 18 for h.
4
Solve -5*l = 11*d + 65, -2885*l + 2881*l + 7 = -3*d for d.
-5
Solve 0 = -z + 5*k - 13, -3*z - 111*k + 113*k - 13 = 0 for z.
-3
Solve f + 231 = l + 239, -4*f - 4*l - 48 = 0 for f.
-2
Solve -4*f - 5*k + 20361 = 20337, 3*f - 15 = -3*k for f.
1
Solve 66*o - 16 = 64*o - 2*c, 3*o - 5*c = 0 for o.
5
Solve -2*r + 9 = -5*l, -5*r - 349 = 353 - 712 for l.
-1
Solve -m = -4, -y + 23 - 27 = m for y.
-8
Solve -26 = -4*u + t, 0 = 5*t - 34 + 64 for u.
5
Solve 35 = -4*i + 2*i + 5*w, -7*w = -37 + 2 for i.
-5
Solve 3*v + 7*k + 685 = 686, k - 5 = 2*v for v.
-2
Solve -11 = 225*k - 231*k + g, 3*k + 4*g + 17 = 0 for k.
1
Solve 3*k - 29 = 5*p, -3*p + 41 = 3*k + 44 for k.
3
Solve l = -n - 5, 663*n - 666*n = -4*l - 6 for l.
-3
Solve 5*q - 4*k + 9 = 0, 56*q - 2*k - 33 = 61*q for q.
-5
Solve 5*u + 15 = -5*t - 35, -u - 22 = 5*t for u.
-7
Solve -2*f = 2*z + 2, -34*f + 2*z + 1 = -37*f for f.
1
Solve 75 = 3*w + 3*r, 5*r + 130 = 2*w + 227 for w.
4
Solve -5*k - 4*j = 19, 0 = -5*k + 2*k + 4*j - 5 for k.
-3
Solve 2 = -557*r + 555*r, 5 = -2*j - r for j.
-2
Solve 11*m + 50 = 16*m - 3*f, m - 5*f - 32 = 0 for m.
7
Solve -3*x = -142*k + 139*k - 12, -5*x + 40 = 5*k for k.
2
Solve 0 = -4*a - 10*c - 112, 16*a - 14 = 15*a + c for a.
2
Solve 3*v + 1881 = -4*z + 1894, -z - 4*v = -13 for z.
1
Solve 2*m + 245*v = 247*v, -4*m + v = 6 for m.
-2
Solve -219*s = -221*s - 2 - 6, s - 32 = -4*y for y.
9
Solve -4*l = -184*z + 179*z - 6, 0 = -5*z - l + 14 for z.
2
Solve 5*i + 2*u = 0, 12*i + 4*u + 1 + 3 = 0 for i.
-2
Solve 5*c - 11 = 13*q + 10, -5*q - 9 = -c for c.
-1
Solve -14 = 2*i + 3*u, 5*u = -4*i - 210 + 184 for i.
-4
Solve 1373 = 2*f - 2*m + 1379, 4*m = -3*f - 23 for f.
-5
Solve -931*o = -934*o - 3*n + 81, 0 = -5*o + 4*n + 90 for o.
22
Solve 4*m = 5*p + 6, 4*m = -13 + 29 for p.
2
Solve 20 = -h - 3*v, 4*h + 42 - 32 = 2*v for h.
-5
Solve 0 = -i - 2, -3*k - 841*i + 844*i + 15 = 0 for k.
3
Solve -2*f + 32 = -4*g, 8 - 67 = -5*g - 2*f for g.
3
Solve -37 = 8*p - 5*r, -20786*r - 4 = -207
|
{
"pile_set_name": "DM Mathematics"
}
|
any millilitres are there in three tenths of a litre?
300
How many centimeters are there in 582.7325mm?
58.27325
How many hours are there in 4/7 of a week?
96
How many centimeters are there in thirteen fifths of a meter?
260
What is 75.72512 litres in millilitres?
75725.12
How many centuries are there in 9621.692 millennia?
96216.92
What is 31.11051ml in litres?
0.03111051
What is 9548.03 kilograms in tonnes?
9.54803
How many grams are there in 76962.25 milligrams?
76.96225
What is 7382.281l in millilitres?
7382281
How many days are there in 26.7337341 nanoseconds?
0.00000000000030941821875
What is eleven sevenths of a week in hours?
264
Convert 668.4771um to kilometers.
0.0000006684771
What is 142.4423 nanometers in kilometers?
0.0000000001424423
How many micrometers are there in 9576.345 millimeters?
9576345
How many kilometers are there in 424.2448nm?
0.0000000004242448
What is seven eighths of a meter in millimeters?
875
What is 5/8 of a meter in millimeters?
625
How many millimeters are there in 21/5 of a centimeter?
42
Convert 93759.24ug to tonnes.
0.00000009375924
What is 5/8 of a decade in months?
75
How many micrometers are there in one sixteenth of a centimeter?
625
How many meters are there in eighteen fifths of a kilometer?
3600
What is 11/4 of a millennium in months?
33000
Convert 595.1719kg to micrograms.
595171900000
How many minutes are there in 21/5 of a day?
6048
Convert 142.26411 months to millennia.
0.0118553425
What is 0.6478113 meters in kilometers?
0.0006478113
How many micrograms are there in 998958.7g?
998958700000
Convert 33679.36 grams to nanograms.
33679360000000
What is 4.480602m in micrometers?
4480602
How many micrograms are there in seven halves of a milligram?
3500
How many millilitres are there in twenty-seven fifths of a litre?
5400
What is 37/2 of a millimeter in micrometers?
18500
How many seconds are there in 2/75 of a hour?
96
How many milligrams are there in five eighths of a gram?
625
What is three tenths of a decade in months?
36
What is eighteen fifths of a century in years?
360
What is 34/5 of a millennium in years?
6800
How many microseconds are there in 39063.99 seconds?
39063990000
What is 0.819194 tonnes in micrograms?
819194000000
What is 316846.5g in nanograms?
316846500000000
What is 25/2 of a litre in millilitres?
12500
How many grams are there in 0.1423816mg?
0.0001423816
How many decades are there in 31/2 of a millennium?
1550
What is 25/2 of a litre in millilitres?
12500
How many litres are there in 32047.1 millilitres?
32.0471
What is 5/8 of a kilometer in meters?
625
What is 0.6962696l in millilitres?
696.2696
What is 550.8885 millilitres in litres?
0.5508885
How many micrometers are there in 875235.9cm?
8752359000
How many nanometers are there in 95/2 of a micrometer?
47500
What is 4.379759km in millimeters?
4379759
What is 52/5 of a kilometer in meters?
10400
How many kilograms are there in 112.4866 nanograms?
0.0000000001124866
How many millilitres are there in 4198.183 litres?
4198183
What is eleven quarters of a gram in milligrams?
2750
What is 6/5 of a century in years?
120
What is 0.1322751ml in litres?
0.0001322751
Convert 0.4222544 minutes to microseconds.
25335264
What is 17/4 of a week in minutes?
42840
What is 3/25 of a gram in milligrams?
120
How many years are there in 9/10 of a millennium?
900
What is thirty-one halves of a decade in years?
155
Convert 841.467ml to litres.
0.841467
How many years are there in 26.43187 decades?
264.3187
How many millilitres are there in 526.9562 litres?
526956.2
Convert 9623.454 kilograms to tonnes.
9.623454
Convert 8853.69 kilograms to micrograms.
8853690000000
How many micrograms are there in 3/40 of a milligram?
75
Convert 702.5116 millilitres to litres.
0.7025116
Convert 5.265362 years to millennia.
0.005265362
How many millilitres are there in 5/4 of a litre?
1250
How many nanometers are there in three fifths of a micrometer?
600
How many minutes are there in twenty-nine thirds of a day?
13920
Convert 7747.566ml to litres.
7.747566
Convert 8133.439l to millilitres.
8133439
What is 7/4 of a litre in millilitres?
1750
Convert 15309.531ns to minutes.
0.00000025515885
How many millilitres are there in 17/2 of a litre?
8500
Convert 839.7981 centuries to decades.
8397.981
What is 67/4 of a litre in millilitres?
16750
What is 9424.23s in microseconds?
9424230000
What is 2864.382 millilitres in litres?
2.864382
How many centimeters are there in one tenth of a meter?
10
Convert 791037.8 centimeters to nanometers.
7910378000000
How many minutes are there in 7/2 of a week?
35280
How many seconds are there in 4.724523 weeks?
2857391.5104
What is 78227.58 litres in millilitres?
78227580
How many micrometers are there in 59106.16 centimeters?
591061600
Convert 71.60175 months to millennia.
0.0059668125
What is seventy-five halves of a meter in millimeters?
37500
What is 11/2 of a microgram in nanograms?
5500
Convert 114.2946 millennia to centuries.
1142.946
What is 33.86988 millennia in years?
33869.88
How many decades are there in 0.1648799 centuries?
1.648799
What is 1/30 of a century in months?
40
Convert 3713.807 milligrams to nanograms.
3713807000
How many micrograms are there in 19/4 of a milligram?
4750
What is 6/5 of a millisecond in microseconds?
1200
How many seconds are there in 1/10 of a minute?
6
Convert 197918.5 decades to years.
1979185
What is 22/9 of a day in minutes?
3520
What is 5/4 of a kilogram in grams?
1250
How many years are there in 271384.5 millennia?
271384500
Convert 6185263.5ns to hours.
0.00000171812875
What is 3/50 of a kilogram in milligrams?
60000
What is 1/4 of a micrometer in nanometers?
250
How many millilitres are there in fourty-six fifths of a litre?
9200
How many centimeters are there in 17/4 of a meter?
425
How many hours are there in 11/4 of a week?
462
What is 3/50 of a kilogram in milligrams?
60000
How many meters are there in 6622.677cm?
66.22677
What is 3/8 of a kilogram in grams?
375
What is 1/4 of a litre in millilitres?
250
How many nanometers are there in 1366.095cm?
13660950000
How many hours are there in 52100.87 days?
1250420.88
Convert 78.325407 milliseconds to days.
0.0000009065440625
What is twenty-five halves of a litre in millilitres?
12500
How many millimeters are there in 3/40 of a kilometer?
75000
What is 11/4 of a litre in millilitres?
2750
How many centuries are there in thirty-four fifths of a millennium?
68
What is seven eighths of a hour in seconds?
3150
Convert 38.69813 meters to nanometers.
38698130000
What is 17/2 of a second in milliseconds?
8500
What is 47/4 of a microgram in nanograms?
11750
What is 6/25 of a kilogram in grams?
240
How many grams are there in thirty-seven fifths of a kilogram?
7400
How many milliseconds are there in 52/5 of a second?
10400
How many months are there in 27/2 of a century?
16200
How many milliseconds are there in 5/4 of a second?
1250
Convert 111166.7 millilitres to litres.
111.1667
How many millilitres are there in 13/4 of a litre?
3250
Convert 9.191712 weeks to milliseconds.
5559147417.6
What is seventeen halves of a litre in millilitres?
8500
What is twenty-one quarters of a week in minutes?
52920
What is 0.7204893l in millilitres?
720.4893
What is 1/10 of a decade in months?
12
What is 29/6 of a hour in seconds?
17400
How many micrograms are there in 1/20 of a milligram?
50
What is seven halves of a year in months?
42
What is 477176.5 millilitres in litres?
477.1765
How many hours are there in 2/21 of a week?
16
What is 2/125 of a tonne in grams?
16000
What is 313618.3g in kilograms?
313.6183
Convert 870860.3 kilograms to micrograms.
870860300000000
How many milligrams are there in 87492.7t?
87492700000000
Convert 2414.503 micrograms to kilograms.
0.000002414503
Convert 531153.8 centuries to decades.
5311538
How many milliseconds are there in 3/10 of a minute?
18000
Convert 5697.419t to nanograms.
5697419000000000000
What is 324.1086 tonnes in kilograms?
324108.6
What is twenty-nine fifths of a millennium in centuries?
58
What is 87.17267 litres in millilitres?
87172.67
What is 7299.329 micrograms in tonnes?
0.000000007299329
How many seconds are there in seven fifteenths of a minute?
28
What is 33.50788 tonnes in kilograms?
33507.88
What
|
{
"pile_set_name": "DM Mathematics"
}
|
28
Let n(w) = 1809*w - 27143. Determine n(15).
-8
Let o(t) = 47*t - 363. Give o(8).
13
Let u(i) = -i**3 + 36*i**2 - 34*i - 6. Calculate u(35).
29
Let v(z) = -550*z - 3281. Give v(-6).
19
Let n(r) = -283*r + 2833. Determine n(10).
3
Let m(a) = 26*a**2 + 79*a + 160. Determine m(-2).
106
Let s(k) = -47*k - 114. Determine s(5).
-349
Let p(z) = -z**3 - 8*z**2 - 31*z - 83. Calculate p(-4).
-23
Let t(y) = -211*y - 10746. What is t(-51)?
15
Let j(r) = -6*r**2 + 53*r + 37. Determine j(10).
-33
Let p(b) = -2*b**3 + 298*b**2 + 5. Calculate p(149).
5
Let g(d) = d**3 - 22*d**2 + 13*d + 87. Give g(18).
-975
Let t(a) = a**3 + 12*a**2 - 12*a + 69. Calculate t(-14).
-155
Let t(s) = 8*s - 344. Calculate t(42).
-8
Let k(s) = s**2 - 1321*s + 11833. Calculate k(9).
25
Let i(t) = 2*t**2 - 322*t + 4371. Calculate i(15).
-9
Let q(c) = 64*c**2 - 1347*c + 44. Calculate q(21).
-19
Let c(y) = 4*y - 40. Determine c(-20).
-120
Let f(w) = -2*w**2 - 68*w + 213. Calculate f(-37).
-9
Let y(v) = 2*v**3 - 88*v**2 - 2*v + 84. What is y(44)?
-4
Let q(r) = -14*r**2 - 37*r + 159. What is q(4)?
-213
Let i(x) = -909*x - 243. Calculate i(-1).
666
Let y(a) = a**3 + 30*a**2 - 25*a - 2259. Calculate y(-28).
9
Let u(r) = r**3 + 14*r**2 + 12*r + 27. Give u(-13).
40
Let p(k) = k**2 + 7*k + 5. Calculate p(8).
125
Let f(t) = -118*t - 49. What is f(2)?
-285
Let a(q) = -484*q - 4716. Determine a(-10).
124
Let y(t) = 449*t + 67. Calculate y(0).
67
Let m(b) = -b**2 + 27*b - 106. Calculate m(18).
56
Let y(w) = 14*w - 131. Give y(23).
191
Let y(q) = -225*q - 892. What is y(-5)?
233
Let n(u) = -146*u - 1450. What is n(-10)?
10
Let g(x) = -x**3 + 85*x**2 - 1106*x + 7. Give g(16).
-25
Let z(i) = 3*i**2 + i - 21. Give z(6).
93
Let u(j) = 230*j + 1041. What is u(-5)?
-109
Let p(f) = f**3 + 47*f**2 - 53*f - 248. Determine p(-48).
-8
Let a(y) = y**3 + 62*y**2 - 266*y - 145. What is a(-66)?
-13
Let w(g) = 4099*g - 57379. Determine w(14).
7
Let w(p) = 107*p + 10194. Calculate w(-95).
29
Let h(i) = -i**3 - 6*i**2 - i - 10. Calculate h(-6).
-4
Let g(a) = 18*a - 293. Calculate g(18).
31
Let m(r) = 2*r**3 + 59*r**2 + 259*r - 37. Calculate m(-24).
83
Let c(y) = -122*y - 29395. Calculate c(-241).
7
Let g(f) = 125*f - 747. Calculate g(6).
3
Let u(x) = -3*x**2 - 326*x - 974. What is u(-3)?
-23
Let n(m) = 6*m**2 + 450*m + 13. Calculate n(-75).
13
Let x(w) = 38*w**3 - 6*w**2 - 6*w + 15. Determine x(2).
283
Let n(i) = -2*i**2 + 47*i - 260. Calculate n(9).
1
Let a(l) = 55*l - 848. Determine a(29).
747
Let g(j) = -669*j - 650. What is g(-1)?
19
Let y(g) = g**2 - 47*g + 137. What is y(31)?
-359
Let j(p) = p**2 - 22*p + 26. Determine j(21).
5
Let a(v) = v**3 + 23*v**2 - 16*v - 165. Give a(-22).
671
Let j(s) = -2*s**3 + 52*s**2 - 11*s + 295. Determine j(26).
9
Let b(d) = -9*d**3 + 168*d**2 + 43*d + 261. Calculate b(19).
-5
Let q(g) = -22*g - 37. What is q(0)?
-37
Let x(s) = 15*s - 62. Determine x(5).
13
Let p(k) = 42*k + 1105. Give p(-26).
13
Let q(x) = 93*x**2 + 97*x - 1. Give q(-1).
-5
Let x(r) = -10*r**3 + 65*r**2 + 39*r - 37. Calculate x(7).
-9
Let s(k) = k**3 - 17*k**2 + 12. Give s(17).
12
Let j(l) = 113*l + 9766. Calculate j(-86).
48
Let w(y) = y**2 + 24*y - 188. Determine w(-30).
-8
Let n(r) = -17*r**2 + 29*r + 95. What is n(-3)?
-145
Let k(u) = -244*u - 91. What is k(-1)?
153
Let v(f) = -50*f + 467. Give v(14).
-233
Let i(y) = -79*y + 93. What is i(13)?
-934
Let t(v) = -541*v + 556. Calculate t(1).
15
Let z(u) = 21*u - 8. What is z(-2)?
-50
Let s(f) = f**2 + 21*f - 527. Calculate s(-38).
119
Let b(j) = 5*j**2 + 32*j - 10. Give b(-6).
-22
Let n(w) = -2*w + 260. Give n(0).
260
Let c(b) = -2*b**2 + 159*b - 772. Give c(5).
-27
Let n(m) = -18*m + 581. Determine n(31).
23
Let g(w) = 90*w + 48. Give g(-1).
-42
Let k(c) = -10*c**2 - 42*c - 59. What is k(-5)?
-99
Let r(d) = 53*d - 305. Determine r(7).
66
Let y(k) = k**2 + 93*k + 267. Give y(-90).
-3
Let f(b) = -b**3 - 93*b**2 + 498*b + 779. What is f(-98)?
-5
Let a(x) = -2*x**2 - 135*x - 678. Calculate a(-62).
4
Let j(k) = 35*k**3 + 14*k**2 - 21*k - 4. What is j(2)?
290
Let z(i) = i**3 + 4*i**2 + 7*i + 1. Calculate z(-3).
-11
Let z(i) = 10*i**2 + 66*i + 121. Determine z(-3).
13
Let j(h) = h**3 - 52*h**2 + 56*h - 243. Give j(51).
12
Let l(a) = -3*a**3 + 24*a**2 - 17*a - 19. Give l(7).
9
Let r(k) = 10*k**3 - 101*k**2 + 3*k + 72. Determine r(10).
2
Let w(g) = g**2 + 12*g - 94. Calculate w(5).
-9
Let n(h) = h**3 - 59*h**2 - 1990*h - 179. Give n(83).
-13
Let f(c) = c**3 + 162*c**2 - 6*c - 988. Calculate f(-162).
-16
Let z(i) = -10*i**2 + 172*i - 169. Give z(1).
-7
Let a(q) = -q**2 - 47360*q + 189460. Calculate a(4).
4
Let x(g) = 14*g**2 + 3377*g + 722. What is x(-241)?
-1
Let y(f) = 19*f**3 - f**2 - 10*f + 15. Give y(2).
143
Let o(m) = m**3 + 27*m**2 + 35*m + 35. Give o(-26).
-199
Let k(w) = 256*w - 80127. Give k(313).
1
Let m(c) = -29*c + 25. Give m(-5).
170
Let v(f) = f**3 + 52*f**2 - 136*f + 1589. What is v(-55)?
-6
Let d(a) = -a**3 + 345*a**2 + 683*a + 3818. Give d(347).
1
Let z(c) = -c**2 - 45*c + 1460. Determine z(22).
-14
Let t(n) = 3*n**2 - 5*n + 7. Give t(-6).
145
Let m(f) = 2*f**3 - 64*f**2 + 507*f + 25. Calculate m(15).
-20
Let k(y) = -273*y**2 - 3*y - 1. Determine k(-1).
-271
Let x(z) = 118*z - 299. What is x(3)?
55
Let b(a) = -2*a**2 - 184*a - 185. Give b(-91).
-3
Let s(k) = -26*k**2 - k - 1. What is s(2)?
-107
Let o(a) = -51*a + 1722. Determine o(34).
-12
Let q(u) = 2*u**3 - 99*u**2 - 151*u - 119. What is q(51)?
-17
Let k(r) = -r**3 - 48*r**2 + 91*r + 2048. Determine k(-49).
-10
Let x(b) = -134*b + 1203. What is x(9)?
-3
Let v(m) = -m**2 + 72*m - 1197. Determine v(46).
-1
Let k(z) = z**3 - 17*z**2 - 57*z - 23. Determine k(20).
37
Let i(f) = 14*f**3 - 195*f**2 - 22*f - 3. Determine i(14).
-115
Let m(o) = 12*o**3 + 4*o**2 - o - 3. What is m(-3)?
-288
Let t(g) = -4*g**2 - 305*g - 226. Give t(-74).
440
Let f(n) = -6*n + 198. Determine f(35).
-12
Let n(u) = u**2 + 48*u + 144. What is n(-3)?
9
Let x(c) = -2*c**2 - 4*c + 28. Give x(8).
-132
Let d(x) = 444*x - 1784. Determine d(4).
-8
Let m(f) = -4*f**3 - 3*f**2 + 91*f + 19. Determine m(-5).
-11
Let b(m) = -184*m + 4308. What is b(23)?
76
Let c(g) = -15*g + 225. What is c(12)?
45
Let b(f) = -314*f + 705. Calculate b(2).
77
Let l(j) = 18*j**3 - 3*j**2 - 3*j + 4. What is l(2)?
130
Let j(b) = 1122*b - 16841. Give j(15).
-11
Let g(h) = 15*h - 104. Determine g(5).
-29
Let z(s) = 105*s**3 + 4*s**2 - 5. Give z(1).
104
Let s(i) = -3*i**2 - 403*i + 2916. Give s(7).
-52
Let b(w) = -2*w**2 + 66*w - 203. Give b(28).
77
Let b(u) = 27*u + 9. Give b(0).
9
Let l(d) = -d**3 + 6*d**2 + 41*d - 14. Determine l(10).
-4
Let y(p) = -p**3 + 23*p**2 - 95*p + 83. Give y(18).
-7
Let i(p) = 87*p + 14. Calculate i(-13).
-1117
Let a(f) = 7*f - 192. Give a(41).
95
Let s(w) = w**2 + 45*w + 262. Calculate s(-37).
-34
Let p(f) = 9*f**2 - 2*f - 7. Give p(1).
0
Let b(w) = 187*w - 18706. Calculate b(100).
-6
Let v(i) = 2*i**2 + 168*i - 1643. Determine v(9).
31
Let q(o) = -o**3 - 22*o**2 + 373*o + 331. Determine q(-33).
1
Let l(j) = 43*j + 463. What is l(-11)?
-10
Let f(r) = -44*r - 905. Calculate f(-18).
-113
Let d(z) = 2*z**2 - 532*z - 2162. Determine d(-4).
-2
Let w(y) = 2*y**2 + 48*y + 278. What is w(-12)?
-10
Let v(c) = -41*c**2 - 13*c - 14. What is v(-1)?
-42
Let t(m) = m**3 - m**2 + 22*m - 51. What is t(3)?
33
Let f(r) = 5*r**3 + 13*r**2 + 5. Give f(-2).
17
Let k(o) = 18*o**2 + 1276*o - 141. Give k(-71).
1
Let u(i) = 7*i**3 + 2*i**2 - 261. Give u(0).
-261
Let w(n) = -n**3 - 15*n**2 + 24*n + 52. What is w(-10)?
-688
Let m(w) = w**2 + 16*w + 72. Determine m(-15).
57
Let l(t) = t**3 - 28*t**2 + 33*t + 43. Determine l(26).
-451
Let j(r) = -r**2 - 57*r - 24. Determine j(-6).
282
Let w(f) = 9*f - 16. Give w(0).
-16
Let a(r) = 3*r**3 + 46*r**2 + 20*r + 17. What is a(-15)?
-58
Let b(f) = 2*f**2 - 119*f - 416. What is b(64)?
160
Let t(h) = 3*h**3 - 16*h**2 - 505*h - 34. Give t(16).
78
Let m(v) = 2*v**3 - 25*v**2 + 9*v + 17. Give m(12).
-19
Let f(j) = -108*j + 529. What is f(17)?
-1307
Let d(q) = -4*q**2 + 81*q + 127. Give d(21).
64
Let f(o) = 14*o**2 + 280*o - 51. What is f(-21)?
243
Let t(d) = -2*d**3 - 95*d**2 - 51*d - 261. Calculate t(-47).
-73
Let a(o) = -25*o - 143. What is a(-21)?
382
Let n(q) = -q**2 + 144*q - 1927. Calculate n(15).
8
Let o(x) = 156*x
|
{
"pile_set_name": "DM Mathematics"
}
|
of w?
5
Suppose -5*o = 2*b - 4*o - 39, -4*o + 102 = 5*b. Suppose -5*k + b = 3. What is the units digit of (-10)/(-1) + k/(-1)?
7
Suppose b + 14 = 4*t, -b + 3*t = b + 13. Suppose -16*a + 56 = -12*a. What is the tens digit of ((a - -2) + b)*2?
2
Suppose -5*i - 3093 = 8*q - 10*q, -q - 4*i = -1514. What is the tens digit of q?
3
Let l(a) be the third derivative of -2*a**2 + 0 + 0*a - 7/24*a**4 - 1/60*a**5 + 1/2*a**3. What is the units digit of l(-5)?
3
Suppose 2*h = -h - 1062. What is the units digit of (h/(-8))/(6 - 93/16)?
6
Let w(v) = 9*v**2 + 267*v + 27. What is the units digit of w(-37)?
9
What is the units digit of -5 - (-27)/(243/8442)?
3
Let h(t) = -7*t**3 + 7*t**2 + 7*t + 39. What is the tens digit of h(-5)?
5
Suppose -47*p + 10262 + 53564 = 0. What is the units digit of p?
8
Let b = 163 + -75. Suppose -94 = -4*s + r + 6, -b = -4*s - 2*r. What is the units digit of s?
4
Let g be (4/2)/((-6)/6). Let o = g - -68. What is the tens digit of o?
6
Let c(k) = 5*k**2 + 15*k + 3. Let x(n) = n**2 + n + 1. Let v(o) = c(o) - 4*x(o). Let p be v(-5). Let w = 28 - p. What is the tens digit of w?
5
Let p be (218/8)/(16/64). Let u = -31 + p. Let a = u + -51. What is the units digit of a?
7
Let l be (-2 - -5)*(-6)/(-18). Let u(h) = h**2 - h + 2. Let j be u(l). Suppose -j*x = 8, 6*g - 5*x = g + 145. What is the units digit of g?
5
Let p be (10*(-44)/(-32))/(2/8). Let o = -34 + p. What is the units digit of o?
1
Let o(u) = 334*u - 150. What is the tens digit of o(3)?
5
Let m(j) = j**3 - 5*j**2 + j + 5. Let k be m(0). Suppose 5*x = -u + 52, -3*u - 2*u - 3*x = -150. Let g = u + k. What is the units digit of g?
2
Suppose 3*o + 5*s + 6 + 3 = 0, -4*s - 18 = -3*o. Let n be (-5)/20 - o/(-8). Suppose -2*g + 8 = -n*g + m, 3*g - 2*m - 26 = 0. What is the units digit of g?
6
Let l(u) = 223*u**2 - 26*u + 100. What is the thousands digit of l(3)?
2
Let p = 3547 - 2394. What is the hundreds digit of p?
1
Let j = -186 - -279. Let p = j - -23. What is the units digit of p?
6
Let v(p) = p**2 - 6*p + 2. Let w be v(6). Suppose -4*l = -10 - w. What is the units digit of l?
3
Suppose -t - 580 = -3*t. What is the tens digit of t?
9
What is the hundreds digit of (-593550)/(-400) + (-2)/(-16) + 1?
4
Let g be (-2*(-2)/8)/(7/28). Suppose -144 - 162 = -g*n. What is the hundreds digit of n?
1
Let d(x) = -2*x**2 + 3*x + 21. Let o be d(-9). Let n = o - -322. What is the units digit of n?
4
Let h = 43 + -7. What is the tens digit of h?
3
Let r(m) = -4*m - 5. Let a be r(-7). Suppose -3*k - 15 - 21 = 0. Let f = a + k. What is the tens digit of f?
1
Let w(x) = 27*x + 60. What is the tens digit of w(9)?
0
Let z(r) be the first derivative of -r**3/3 + 17*r**2/2 - 8. Let j be z(15). Suppose -4*q + j = -q. What is the tens digit of q?
1
Let a = -103 - -66. Let h = 10 - a. What is the units digit of h?
7
Let j(z) = 2*z**2 - 36*z - 179. What is the tens digit of j(-23)?
0
Suppose -32*m = 39*m - 111967. What is the tens digit of m?
7
Suppose 6*w - 20 = 11*w, u - 4*w = 3068. What is the hundreds digit of u?
0
Let t = 888 + -854. What is the tens digit of t?
3
Let b = -14 + -11. What is the tens digit of (396 + -2)*(3 + b/10)?
9
Let g be 13/(-13) + 7*21. Suppose -25 + g = q. Suppose -4*p - 19 = 3*c - 131, -5*p + q = -c. What is the tens digit of p?
2
What is the hundreds digit of 525/30*1818/15?
1
Let s be (-217)/(-42) + (-2)/12. Suppose 0 = -3*n + 2*v + 23, -4*n + 2*v = -18 - 10. Suppose 3*w - s*f = 79, -w - w + n*f = -51. What is the tens digit of w?
2
Suppose -6*g = -2*g - 92. Let c = 40 - g. What is the tens digit of c?
1
Let h = -537 + 2130. What is the thousands digit of h?
1
Suppose 1 = 2*f + 7. Suppose -6*k = -8*k + 36. What is the tens digit of (k + f)*(1 + 0)?
1
Let i = -16 - -28. Suppose -l + 3*l = i. Suppose 2*k + 4 + l = 0, k + 125 = 5*z. What is the units digit of z?
4
Let z(r) = 448*r + 2. Let s be z(1). Suppose 0 = 32*u - 29*u - s. What is the hundreds digit of u?
1
Let h(j) = -j**3 + 8*j**2 + 11*j - 16. Let y be h(9). What is the tens digit of (1/y)/((-7)/(-14)) - -185?
8
Let v(a) = -19*a + 6. Let x be v(-3). Suppose x - 327 = -2*r. What is the units digit of r?
2
Suppose 3*j + 3*t = 1680, 2201 = 5*j + 3*t - 589. What is the units digit of j?
5
Let f = 78 - 90. What is the units digit of ((-44)/f)/((-3)/(-72)*2)?
4
Let i be 79 - (0 - -2 - 4). What is the units digit of (-4)/18 - (-1071)/i?
3
Suppose -51 = -2*o - 19. Suppose -4*g + o = -4*z, 0 = 2*z + 2 - 0. What is the units digit of g?
3
Suppose 4*p + 5*z = 1996, -4*z = -2*p + 709 + 263. What is the units digit of p?
4
Let s = 5110 - 3557. Suppose 9*p - s = 571. What is the units digit of p?
6
Let u = 5830 + -2076. What is the hundreds digit of u?
7
Suppose -7420 = -19*o + 5*o. What is the units digit of o?
0
What is the units digit of (-858)/4*21/(378/(-60))?
5
Suppose -724 = -5*h + 4*m, 4*m + 580 = 4*h + m. What is the units digit of h?
8
Let i be (-2)/6*(-68 - -5). Suppose -3*v - i = -2*s, -31 = -2*s - 0*v + 5*v. Suppose -s*b + 82 = b - 2*u, -3*u = 2*b - 37. What is the tens digit of b?
2
Let n(s) = -15*s**3 + 2*s + 2. Let u(q) = -q - 1. Let p(y) = n(y) - 2*u(y). What is the tens digit of p(-2)?
1
Suppose -5*l - 15 = -5*v, 3*l - 3 = -0*l. Suppose y - 5*r = 5*y - 381, -3*y = v*r - 287. What is the tens digit of y?
8
Let b = -228 - -231. Let i be 2/(-6) + (-1)/(-3). Suppose 5*n = b*s - i*s - 34, 3*n = 3. What is the tens digit of s?
1
Let m(u) = -48*u**3 + u**2 + 3*u + 2. Let d be 2 - 6/8*4. What is the tens digit of m(d)?
4
Let g(m) = 11*m**2 + 2*m - 1. Let y be g(1). Let w be 2/(-5) - y/(-5). Suppose -a - w = -3*a. What is the units digit of a?
1
Suppose 23 = i + m, 5*i = -0*i + 5*m + 125. What is the tens digit of (-296)/(-6) + 16/i?
5
Let p(x) = -4*x + 1. Let d be p(-1). Suppose -u + d*u = 24. Suppose 150 = u*y - y. What is the tens digit of y?
3
Let l be (-1 + -23)*(-12)/8. Suppose -n + 13 = 5*z, 5*z - 4*n + 0 + 2 = 0. Suppose 2*f - l = -z*t, 4*t - 2*f = -0*f + 84. What is the tens digit of t?
2
Suppose -3*c + 4 + 20 = 2*u, -2*u = 5*c - 36. Suppose -4*x = 0, -4*x + c = -y - 6*x. Let l(k) = k**3 + 6*k**2 - 5*k - 2. What is the tens digit of l(y)?
2
Suppose -3*g + 5*g - 72 = 0. Let h = g - 32. What is the units digit of h?
4
Let w be ((1197/(-28))/(-9))/(1/(-4)). Let f = w - -118. What is the units digit of f?
9
Let s be (-3450)/27 + (-3)/((-54)/(-4)). Let v = 48 - s. What is the hundreds digit of v?
1
Suppose -7 = 3*o + 4*o. Let c = 220 + o. What is the units digit of c?
9
Suppose 12*n - 10*n - 2 = 0. Let l(s) = -17*s**3 + 9*s**3 - n + 9*s**3 + s**2. What is the units digit of l(2)?
1
Suppose 20 = -0*z + 5*z. Let s(w) = w**2 + 6*w - 31. Let g be s(-13). Suppose 0 = -z*o + 5*m - g + 219, 2*o - 107 = -3*m. What is the tens digit of o?
4
Suppose -4 = r - 3*r. Let i(c) = 15*c**3 + 4*c**2 - 3*c. What is the units digit of i(r)?
0
Let p(q) = 0*q + 8*q + 1 - 2*q - 4 - q**2. Let h be p(4). Suppose -h*u + 9*u = 72. What is the units digit of u?
8
Let q(n) = -2*n - 2. Let i be q(-2). Let j(b) = b - 3*b + 0*b**i - 2*b**2 + 3*b**2. What is the tens digit of j(6)?
2
What is the hundreds digit of (-8)/28 - (-8763)/21?
4
Let j be (-5965)/10*2*-1*2. Suppose 14*q - j = 1100. What is the units digit of q?
9
What is the units digit of (-4)/(-3) + (-27336)/(-18) + 6?
6
Suppose 11*h - 6284 = -762. What is the hundreds digit of h?
5
Suppose -4*f - 27 = -7*f. Suppose 0*n = 4*n - 36. What is the units digit of 219/f + 6/n?
5
Suppose -6*z = -z + 5. Let n = z - 0. What is the units digit of 37/2*(-2)/n?
7
Let i(a) = 0*a - 3*a - 380 + 382. What is the tens digit of i(-5)?
1
Suppose 3*j - j = 0. Let s be 1 - (-5 + j + 2). Suppose -39 = -2*t - s*h + h, 18 = t + 3*h. What is the tens digit of t?
2
Suppose -4*a + 185 = -175. What is the tens digit of a?
9
Suppose -q - 1054 = -c, 5*q - 3022 = -4*c + 1194. What is the thousands digit of c?
1
Let s = -12 + 13. Let v = s - 4. What is the tens digit of v - (1 - (38 - -3))?
3
What is the units digit of (-23 + 5)/3 + 304?
8
Suppose -2 = -2*r + 2. Let n be 5*(-3)/(-6)*r. Suppose 0 = 2*h - 7*o + 4*o - 13, -n*h = -o - 65. What is the units digit of h?
4
Suppose -3*d + j = -8, -2*j - 3*j + 14 = 3*d. Suppose 3 = -2*i + r - 42, -d*i - 60 = r. Let v = i + 42. What is the tens digit of v?
2
Let u = -24 + 38. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
124*n**3/3 - 6316*n**2/3 - 136*n = 0. Calculate n.
-2/31, 0, 51
Factor -125*n**2 - 26400*n - 1393920.
-5*(5*n + 528)**2
Factor -2*x**2 + 254*x + 256.
-2*(x - 128)*(x + 1)
Factor 5*g**5 + 32*g**4 + 72*g**3 + 74*g**2 + 35*g + 6.
(g + 1)**3*(g + 3)*(5*g + 2)
Factor -v**5 + 60*v**4 - 116*v**3.
-v**3*(v - 58)*(v - 2)
Factor -x**3/6 - x**2/3 + 79*x/6 - 110/3.
-(x - 5)*(x - 4)*(x + 11)/6
Suppose x**3 - 109*x**2/5 + 83*x/5 + 21/5 = 0. Calculate x.
-1/5, 1, 21
Factor 2*s**2/5 - 982*s/5 + 1956/5.
2*(s - 489)*(s - 2)/5
Suppose 2*i**2/5 + 192*i/5 + 4608/5 = 0. What is i?
-48
Suppose -f**3/3 - 16*f**2/3 - 5*f = 0. Calculate f.
-15, -1, 0
Factor 2*p**2/7 - 22*p/7 - 52/7.
2*(p - 13)*(p + 2)/7
Factor 5*s**4 + 200*s**3 + 190*s**2 - 200*s - 195.
5*(s - 1)*(s + 1)**2*(s + 39)
Factor -4*l**5 + 24*l**4 - 36*l**3.
-4*l**3*(l - 3)**2
Factor 4*s**2 + 4*s.
4*s*(s + 1)
Factor 50*b**3 + 260*b**2 + 258*b + 72.
2*(b + 4)*(5*b + 3)**2
Factor -2*c**3/5 + 1950*c**2 - 3168750*c + 1716406250.
-2*(c - 1625)**3/5
Factor 5*a**4/4 - 195*a**3/4 + 1035*a**2/4 - 1485*a/4.
5*a*(a - 33)*(a - 3)**2/4
Factor v**3/5 + 622*v**2/5 + 248*v.
v*(v + 2)*(v + 620)/5
Factor 3*l**3/5 + 846*l**2/5 + 2511*l/5.
3*l*(l + 3)*(l + 279)/5
Let 4*h**2 - 4936*h + 4932 = 0. What is h?
1, 1233
Factor -21*w**3 - 11502*w**2 + 3288*w.
-3*w*(w + 548)*(7*w - 2)
What is x in -x**5 + 1207*x**4/4 - 44227*x**3/2 - 391837*x**2/4 - 116739*x - 23409 = 0?
-2, -1/4, 153
Solve 32*s**2 - 116*s - 48 = 0 for s.
-3/8, 4
Let 2*j**3/11 - 104*j**2/11 + 1450*j/11 - 2500/11 = 0. Calculate j.
2, 25
Suppose 55*o**3 - 100*o**2 - 185*o - 30 = 0. Calculate o.
-1, -2/11, 3
Factor -5*x**3/3 + 15*x**2 + 740*x/3 + 420.
-5*(x - 18)*(x + 2)*(x + 7)/3
Factor -29*z**3/3 - 143*z**2/3 - 106*z/3 + 8/3.
-(z + 1)*(z + 4)*(29*z - 2)/3
Factor 8*g**3/9 - 604*g**2/3 + 11248*g + 17328.
4*(g - 114)**2*(2*g + 3)/9
Find s such that 4*s**3 + 1728*s**2 + 186624*s = 0.
-216, 0
Find t such that -4*t**2 - 1652*t - 3288 = 0.
-411, -2
Determine i so that -24*i**2 - 4*i + 4/3 = 0.
-1/3, 1/6
Factor -2*t**2/7 + 8*t/7 - 8/7.
-2*(t - 2)**2/7
Suppose -y**4/10 - 9*y**3/10 + 21*y**2/10 - 11*y/10 = 0. What is y?
-11, 0, 1
Determine s so that -18*s**5/5 + 18*s**4/5 + 26*s**3/5 - 26*s**2/5 - 8*s/5 + 8/5 = 0.
-1, -2/3, 2/3, 1
Factor 2*v**5 - 10*v**4 + 2*v**3 + 42*v**2 - 36*v.
2*v*(v - 3)**2*(v - 1)*(v + 2)
Solve y**3/2 - 7*y**2/2 - 22*y = 0 for y.
-4, 0, 11
Suppose -5*t**3 + 780*t**2 - 29625*t - 62410 = 0. Calculate t.
-2, 79
Factor -3*n**2 - 255*n + 258.
-3*(n - 1)*(n + 86)
Find c, given that c**2 - 20576*c + 105842944 = 0.
10288
Factor -5*f**2/3 + 10*f/3 - 5/3.
-5*(f - 1)**2/3
Solve 2*y**2/3 - 490*y/3 - 988/3 = 0.
-2, 247
Solve 4*i**3 + 1240*i**2 + 2468*i + 1232 = 0.
-308, -1
Factor 2*b**3 + 28*b**2 + 98*b + 72.
2*(b + 1)*(b + 4)*(b + 9)
Let 2*u**3/3 - 2*u**2 = 0. What is u?
0, 3
Find a, given that -2*a**4 + 126*a**3 - 482*a**2 + 594*a - 236 = 0.
1, 2, 59
Factor 5*t**3 + 115*t**2 - 130*t - 240.
5*(t - 2)*(t + 1)*(t + 24)
Factor 2*b**2/11 - 144*b/11 + 1792/11.
2*(b - 56)*(b - 16)/11
Let -4*f**5 - 32*f**4 - 20*f**3 + 200*f**2 = 0. Calculate f.
-5, 0, 2
Determine m so that -2*m**4 - 286*m**3 = 0.
-143, 0
Factor 5*a**4 + 35*a**3 - 600*a**2 + 1840*a - 1280.
5*(a - 4)**2*(a - 1)*(a + 16)
Solve -6*i**5/5 - 18*i**4/5 - 6*i**3/5 + 18*i**2/5 + 12*i/5 = 0.
-2, -1, 0, 1
What is o in 2*o**2/7 - 598*o/7 = 0?
0, 299
Solve -2*y**5 - 43*y**4/3 - 103*y**3/3 - 88*y**2/3 - 4*y = 0.
-3, -2, -1/6, 0
Factor -5929*d**4 + 4928*d**3 - 1024*d**2.
-d**2*(77*d - 32)**2
Let -160*w**5 + 34*w**4 + 492*w**3 + 218*w**2 - 104*w - 24 = 0. Calculate w.
-1, -3/16, 2/5, 2
Suppose 2*g**3 + 118*g**2 - 496*g + 504 = 0. Calculate g.
-63, 2
Factor -2*d**2/3 + 2004*d.
-2*d*(d - 3006)/3
Factor -2*m**3/7 + 10*m**2/7 + 4*m.
-2*m*(m - 7)*(m + 2)/7
Find p, given that 6*p**5/5 + 34*p**4/5 + 38*p**3/5 - 42*p**2/5 - 36*p/5 = 0.
-3, -2/3, 0, 1
Factor 5*w**2/3 - 3115*w/3 + 3110/3.
5*(w - 622)*(w - 1)/3
Factor -5*v**2 + 19880*v - 19760720.
-5*(v - 1988)**2
Find z, given that 21*z**5 + 913*z**4/3 + 1225*z**3/3 - 5371*z**2 + 2628*z - 324 = 0.
-9, 2/9, 2/7, 3
Find k, given that 2*k**4/21 + 6*k**3/7 + 46*k**2/21 + 10*k/7 = 0.
-5, -3, -1, 0
Factor 2*h**2/15 - 188*h/15 + 4418/15.
2*(h - 47)**2/15
Find p, given that -5*p**5 - 30*p**4 + 5*p**3 + 30*p**2 = 0.
-6, -1, 0, 1
Factor -2*i**2/9 - 206*i/9 + 208/9.
-2*(i - 1)*(i + 104)/9
Factor 2*n**2/9 - 14*n/9 - 16/9.
2*(n - 8)*(n + 1)/9
Factor -y**4 - 7*y**3 - 12*y**2.
-y**2*(y + 3)*(y + 4)
Factor 3*x**2/4 - 33*x/4 - 9.
3*(x - 12)*(x + 1)/4
Suppose -2*n**4/7 - 276*n**3/7 - 270*n**2/7 + 548*n/7 = 0. What is n?
-137, -2, 0, 1
Find p such that 25*p**4 + 37530*p**3 + 82480*p**2 + 52470*p + 7495 = 0.
-1499, -1, -1/5
Find w such that 5*w**2 - 6080*w + 1848320 = 0.
608
Factor 2*h**3/7 + 30*h**2 - 426*h/7 + 214/7.
2*(h - 1)**2*(h + 107)/7
Let q**2/3 + 14*q - 43/3 = 0. What is q?
-43, 1
Suppose 5*j**2 + 1140*j - 3465 = 0. Calculate j.
-231, 3
What is q in -5*q**2 - 60*q = 0?
-12, 0
Let -j**5/4 + 5*j**4/2 - 3*j**3 - 17*j**2/2 + 13*j/4 + 6 = 0. What is j?
-1, 1, 3, 8
Determine c, given that 4*c**4 + 8*c**3 - 20*c**2 - 24*c = 0.
-3, -1, 0, 2
Let l**5/5 - 6*l**4/5 - 3*l**3/5 + 56*l**2/5 - 12*l/5 - 144/5 = 0. Calculate l.
-2, 3, 4
Factor 5*m**5/4 + 5*m**4 - 25*m**3/4.
5*m**3*(m - 1)*(m + 5)/4
Factor -2*p**4/3 - 26*p**3/3 - 70*p**2/3 + 98*p/3.
-2*p*(p - 1)*(p + 7)**2/3
Factor -2*c**4/9 + 76*c**3/9 - 112*c**2 + 5684*c/9 - 11662/9.
-2*(c - 17)*(c - 7)**3/9
Determine d so that -d**2/5 - 11*d + 56/5 = 0.
-56, 1
Solve -50*f**5/9 + 2420*f**4/9 + 9238*f**3/9 + 6416*f**2/9 - 3752*f/9 + 416/9 = 0.
-2, 1/5, 52
Solve 2*k**2/25 + 36*k/25 + 18/5 = 0 for k.
-15, -3
Find s such that -s**3 + 94*s**2 - 185*s + 92 = 0.
1, 92
Factor -4*k**5/5 + 8*k**3/5 - 4*k/5.
-4*k*(k - 1)**2*(k + 1)**2/5
Factor -3*x**3 - 345*x**2 + 1056*x - 708.
-3*(x - 2)*(x - 1)*(x + 118)
Factor -q**5/3 - 218*q**4 - 160064*q**3/3 - 17321024*q**2/3 - 229369088*q + 1446789632/3.
-(q - 2)*(q + 164)**4/3
Factor 20*u**3 + 152*u**2 + 84*u.
4*u*(u + 7)*(5*u + 3)
Determine q so that -5*q**4/3 + 650*q**3/3 - 640*q**2 + 1910*q/3 - 635/3 = 0.
1, 127
Factor -2*k**2 - 82*k - 156.
-2*(k + 2)*(k + 39)
Factor -4*w**2/17 - 642*w/17 + 322/17.
-2*(w + 161)*(2*w - 1)/17
Factor 2*g**2 - 2184*g + 596232.
2*(g - 546)**2
Factor -5*r**2 + 105*r - 190.
-5*(r - 19)*(r - 2)
Factor -t**2/7 + 250*t/7 - 15625/7.
-(t - 125)**2/7
Factor 20*h**4 + 52*h**3 - 204*h**2 + 172*h - 40.
4*(h - 1)**2*(h + 5)*(5*h - 2)
Find i, given that i**2 + 57*i + 602 = 0.
-43, -14
Factor -o**2/4 + 7*o - 27/4.
-(o - 27)*(o - 1)/4
Factor -5*b**3/3 - 70*b**2/3 - 325*b/3 - 500/3.
-5*(b + 4)*(b + 5)**2/3
Find n such that -n**2/8 - 31*n/8 - 23 = 0.
-23, -8
Factor 6*s**2/7 - 72*s/7 - 24.
6*(s - 14)*(s + 2)/7
Let 4*l**4/3 - 58*l**3/3 + 206*l**2/3 - 62*l/3 - 30 = 0. Calculate l.
-1/2, 1, 5, 9
Factor -4*c**4 + 16*c**3 - 12*c**2.
-4*c**2*(c - 3)*(c - 1)
Suppose 4*v**3 - 728*v**2 + 33840*v - 64800 = 0. Calculate v.
2, 90
Suppose -2*p**3 + 112*p**2 + 728*p + 992 = 0. Calculate p.
-4, -2, 62
Factor -5*b**4 - 315*b**3 - 4800*b**2 + 5120*b.
-5*b*(b - 1)*(b + 32)**2
Find c such that c**3/3 - c**2/3 - 101*c/3 - 33 = 0.
-9, -1, 11
Find a, given that a**4/2 + 8*a**3/3 + 29*a**2/6 + 10*a/3 + 2/3 = 0.
-2, -1, -1/3
Determine b, given that -3*b**2 + 1659*b - 1656 = 0.
1, 552
Factor -4*p**3 + 156*p**2 - 572*p + 420.
-4*(p - 35)*(p - 3)*(p - 1)
Factor o**4/7 + 51*o**3/7 + 722*o**2/7 + 1824*o/7 + 1152/7.
(o + 1)*(o + 2)*(o + 24)**2/7
Factor -d**5 + d**4 + 4*d**3 - 4*d**2.
-d**2*(d - 2)*(d - 1)*(d + 2)
Factor 2*g**5/15 + 2*g**4/15 - 2*g**3/15 - 2*g**2/15.
2*g**2*(g - 1)*(g + 1)**2/15
Let a**3 - 34*a**2 + 300*a - 792 = 0. Calculate a.
6, 22
Solve 2*q**4 - 386*q**3 + 24960*q**2 - 548864*q + 524288 = 0.
1, 64
Suppose -2*i**2/15 + 52*i/5 - 1014/5 = 0. Calculate i.
39
Factor 3*s**3 - 162*s**2 + 2907*s - 17340.
3*(s - 20)*(s - 17)**2
What is v in 2*v**2 + 76*v - 160 = 0?
-40, 2
Let -4*d**4 + 48*d**3 - 132*d**2 + 8*d + 192 = 0. What is d?
-1, 2, 3, 8
Factor 125*a**3 - 19900*a**2 - 56455*a - 39690.
5*(a - 162)*(5*a + 7)**2
Factor 4*q**2 + 1968*q + 242064.
4*(q + 246)**2
Factor 2*d**4 + 38*d**3 + 130*d**2 + 154*d + 60.
2*(d + 1)**2*(d + 2)*(d + 15)
Let 2*c**4/15 + 22*c**3/15 - 122*c**2/15 - 22*c/15 + 8 = 0. What is c?
-15, -1, 1, 4
Factor 4
|
{
"pile_set_name": "DM Mathematics"
}
|
he nearest integer?
13029
What is 11620907 to the power of 1/2, to the nearest integer?
3409
What is 198951938 to the power of 1/2, to the nearest integer?
14105
What is the cube root of 825248833 to the nearest integer?
938
What is 32769400 to the power of 1/2, to the nearest integer?
5724
What is the tenth root of 2190105590 to the nearest integer?
9
What is 723147325 to the power of 1/3, to the nearest integer?
898
What is the sixth root of 120947873 to the nearest integer?
22
What is 77915390 to the power of 1/2, to the nearest integer?
8827
What is 35696816 to the power of 1/3, to the nearest integer?
329
What is the eighth root of 167084528 to the nearest integer?
11
What is the square root of 27047296 to the nearest integer?
5201
What is 146815055 to the power of 1/3, to the nearest integer?
528
What is 23379333 to the power of 1/9, to the nearest integer?
7
What is the third root of 245286523 to the nearest integer?
626
What is the ninth root of 3331706091 to the nearest integer?
11
What is 51871470 to the power of 1/2, to the nearest integer?
7202
What is the tenth root of 3117908094 to the nearest integer?
9
What is the square root of 24970133 to the nearest integer?
4997
What is 1424698147 to the power of 1/3, to the nearest integer?
1125
What is 1672990919 to the power of 1/2, to the nearest integer?
40902
What is 231604594 to the power of 1/5, to the nearest integer?
47
What is the sixth root of 2240948025 to the nearest integer?
36
What is the tenth root of 50030911 to the nearest integer?
6
What is 1955393207 to the power of 1/2, to the nearest integer?
44220
What is the square root of 972112739 to the nearest integer?
31179
What is the fourth root of 80322713 to the nearest integer?
95
What is the square root of 1029799748 to the nearest integer?
32090
What is the square root of 587607877 to the nearest integer?
24241
What is the square root of 69751536 to the nearest integer?
8352
What is 185761917 to the power of 1/3, to the nearest integer?
571
What is the square root of 2024218261 to the nearest integer?
44991
What is 17420741 to the power of 1/2, to the nearest integer?
4174
What is the tenth root of 50817636 to the nearest integer?
6
What is the cube root of 338375947 to the nearest integer?
697
What is the square root of 117515102 to the nearest integer?
10840
What is the third root of 21087605 to the nearest integer?
276
What is 47806040 to the power of 1/2, to the nearest integer?
6914
What is 82692101 to the power of 1/10, to the nearest integer?
6
What is the third root of 591368651 to the nearest integer?
839
What is 1698007667 to the power of 1/3, to the nearest integer?
1193
What is the third root of 184550849 to the nearest integer?
569
What is 2286779656 to the power of 1/3, to the nearest integer?
1317
What is the square root of 2088638230 to the nearest integer?
45702
What is 47416563 to the power of 1/3, to the nearest integer?
362
What is the cube root of 109878926 to the nearest integer?
479
What is 236148042 to the power of 1/3, to the nearest integer?
618
What is the tenth root of 3598659184 to the nearest integer?
9
What is 547390043 to the power of 1/2, to the nearest integer?
23396
What is 422269905 to the power of 1/3, to the nearest integer?
750
What is 149105583 to the power of 1/2, to the nearest integer?
12211
What is the sixth root of 670922700 to the nearest integer?
30
What is the square root of 56982076 to the nearest integer?
7549
What is 4771977282 to the power of 1/2, to the nearest integer?
69079
What is the square root of 32986643 to the nearest integer?
5743
What is 45757259 to the power of 1/2, to the nearest integer?
6764
What is 14431403 to the power of 1/2, to the nearest integer?
3799
What is the square root of 1480635911 to the nearest integer?
38479
What is 60878433 to the power of 1/3, to the nearest integer?
393
What is 3865342589 to the power of 1/2, to the nearest integer?
62172
What is the third root of 149810958 to the nearest integer?
531
What is 5126798924 to the power of 1/7, to the nearest integer?
24
What is the cube root of 5254675309 to the nearest integer?
1739
What is the seventh root of 1193947892 to the nearest integer?
20
What is 8937063578 to the power of 1/2, to the nearest integer?
94536
What is the fifth root of 257372996 to the nearest integer?
48
What is 131575558 to the power of 1/6, to the nearest integer?
23
What is the third root of 466160444 to the nearest integer?
775
What is 177331683 to the power of 1/10, to the nearest integer?
7
What is the square root of 306916707 to the nearest integer?
17519
What is 342220979 to the power of 1/2, to the nearest integer?
18499
What is 91645309 to the power of 1/2, to the nearest integer?
9573
What is 925969351 to the power of 1/10, to the nearest integer?
8
What is the fifth root of 41374519 to the nearest integer?
33
What is 17146531 to the power of 1/9, to the nearest integer?
6
What is 20027713 to the power of 1/2, to the nearest integer?
4475
What is the cube root of 3073281299 to the nearest integer?
1454
What is 707060 to the power of 1/4, to the nearest integer?
29
What is 3904184273 to the power of 1/5, to the nearest integer?
83
What is the sixth root of 307353016 to the nearest integer?
26
What is 672587538 to the power of 1/6, to the nearest integer?
30
What is 239270629 to the power of 1/2, to the nearest integer?
15468
What is the eighth root of 938588440 to the nearest integer?
13
What is the tenth root of 7720728934 to the nearest integer?
10
What is 2797136903 to the power of 1/2, to the nearest integer?
52888
What is 45634135 to the power of 1/3, to the nearest integer?
357
What is the cube root of 684294411 to the nearest integer?
881
What is 416226673 to the power of 1/2, to the nearest integer?
20402
What is the third root of 241774644 to the nearest integer?
623
What is 2716054410 to the power of 1/2, to the nearest integer?
52116
What is 3832396206 to the power of 1/10, to the nearest integer?
9
What is 2980778504 to the power of 1/7, to the nearest integer?
23
What is 25674876 to the power of 1/6, to the nearest integer?
17
What is the square root of 45410003 to the nearest integer?
6739
What is 595709367 to the power of 1/5, to the nearest integer?
57
What is the third root of 257892656 to the nearest integer?
637
What is 5370662 to the power of 1/9, to the nearest integer?
6
What is 56319400 to the power of 1/3, to the nearest integer?
383
What is 2356399686 to the power of 1/9, to the nearest integer?
11
What is the eighth root of 21316123 to the nearest integer?
8
What is the tenth root of 368157267 to the nearest integer?
7
What is the square root of 2796443115 to the nearest integer?
52881
What is 50445358 to the power of 1/2, to the nearest integer?
7102
What is 91222549 to the power of 1/8, to the nearest integer?
10
What is the seventh root of 203521808 to the nearest integer?
15
What is the eighth root of 387724734 to the nearest integer?
12
What is 129451082 to the power of 1/5, to the nearest integer?
42
What is 6534032 to the power of 1/7, to the nearest integer?
9
What is the square root of 161394210 to the nearest integer?
12704
What is the seventh root of 232600250 to the nearest integer?
16
What is the square root of 314502235 to the nearest integer?
17734
What is the cube root of 14449183 to the nearest integer?
244
What is 420622771 to the power of 1/5, to the nearest integer?
53
What is the eighth root of 3078167 to the nearest integer?
6
What is 62434793 to the power of 1/9, to the nearest integer?
7
What is the third root of 702901902 to the nearest integer?
889
What is the square root of 1420480304 to the nearest integer?
37689
What is the cube root of 4698686583 to the nearest integer?
1675
What is the cube root of 21389571 to the nearest integer?
278
What is 219531463 to the power of 1/3, to the nearest integer?
603
What is the third root of 59183610 to the nearest integer?
390
What is 2534932844 to the power of 1/2, to the nearest integer?
50348
What is 180310595 to the power of 1/5, to the nearest integer?
45
What is 15796433 to the power of 1/2, to the nearest integer?
3974
What is 5411552 to the power of 1/5, to the nearest integer?
22
What is the fourth r
|
{
"pile_set_name": "DM Mathematics"
}
|
/138209
Divide -766 by -45.
766/45
What is -293560 divided by 205?
-1432
Calculate 3254 divided by 29.
3254/29
Calculate -21691 divided by 2.
-21691/2
What is 821050 divided by 164210?
5
Divide -71399 by -8.
71399/8
What is 826 divided by 5?
826/5
Divide 3 by -56452.
-3/56452
What is 4103 divided by 12?
4103/12
Calculate -4681650 divided by 6.
-780275
Calculate -212400 divided by -14160.
15
1097 divided by -6
-1097/6
Divide -41925 by 13.
-3225
-49 divided by -612
49/612
What is 314041 divided by -10829?
-29
What is -18430 divided by 485?
-38
Calculate -837470 divided by -5.
167494
Calculate -6365 divided by -6365.
1
Calculate -6619 divided by 4.
-6619/4
What is -1 divided by -68569?
1/68569
7 divided by 39386
7/39386
What is 17942 divided by 261?
17942/261
Divide 149366 by 1589.
94
Divide 3 by -30391.
-3/30391
Calculate -111672 divided by -6.
18612
Calculate -3 divided by 12395.
-3/12395
6043096 divided by 1510774
4
Calculate -3 divided by -9456.
1/3152
Divide 4 by 710120.
1/177530
Divide -49 by 1719.
-49/1719
Divide -3097 by 38.
-163/2
Divide 11369826 by 2.
5684913
Calculate 52 divided by -1650.
-26/825
What is -857774 divided by 5?
-857774/5
Calculate -121254 divided by -3.
40418
What is -8 divided by 400?
-1/50
4012 divided by 321
4012/321
What is -163921 divided by -7127?
23
Divide -2216829 by 8241.
-269
Calculate -3113500 divided by -778375.
4
-1992 divided by -332
6
14671 divided by 27
14671/27
Calculate -36801 divided by 16.
-36801/16
Divide -14163 by 20.
-14163/20
What is -119192 divided by 94?
-1268
Divide -337 by -111.
337/111
Divide -123723 by 9.
-13747
Calculate 4 divided by -731640.
-1/182910
Divide 1942 by 173.
1942/173
Calculate -33248 divided by 6.
-16624/3
Divide 0 by 38619.
0
Divide 196326 by -234.
-839
Divide 37 by -265.
-37/265
Divide 108432 by -6777.
-16
What is -189456 divided by -63152?
3
Divide -5 by 817.
-5/817
What is 295999 divided by 5?
295999/5
-501454 divided by 5
-501454/5
Calculate 32 divided by -2227.
-32/2227
79016 divided by 2324
34
What is 4 divided by -5168?
-1/1292
172805 divided by -10165
-17
Divide -105444 by 1.
-105444
What is -6633 divided by 6633?
-1
What is -18 divided by 27332?
-9/13666
68517 divided by 22839
3
Divide 59140 by 4.
14785
-332835 divided by 5
-66567
21712 divided by 59
368
What is 1833 divided by 23?
1833/23
664 divided by 10
332/5
Divide 62724 by 12.
5227
Divide -2183619 by 6.
-727873/2
14970 divided by 998
15
Divide 15 by 13121.
15/13121
Calculate 88515 divided by -4215.
-21
Calculate 1923136 divided by 4.
480784
38900 divided by 13
38900/13
8532 divided by -237
-36
1 divided by 29465
1/29465
-477 divided by -2066
477/2066
What is 124510 divided by 5?
24902
What is 5 divided by -5143?
-5/5143
What is -83684 divided by -20921?
4
What is 2771484 divided by -291?
-9524
What is -1665 divided by 63?
-185/7
446992 divided by -1
-446992
Divide 679 by -1972.
-679/1972
Calculate -150 divided by -399.
50/133
Calculate -20161 divided by -6.
20161/6
Divide -590007 by 3.
-196669
Calculate 52418 divided by -1.
-52418
747618 divided by 3
249206
-402372 divided by 100593
-4
Calculate -1445840 divided by 440.
-3286
Divide 48780 by -3252.
-15
What is -9208 divided by -40?
1151/5
Calculate -4 divided by -16393.
4/16393
Calculate 2222880 divided by -20208.
-110
-481 divided by -232
481/232
-27145 divided by -3
27145/3
Divide 44400 by 20.
2220
Divide 40934 by 9.
40934/9
Calculate 809834 divided by 59.
13726
2253172 divided by -563293
-4
46 divided by -9068
-23/4534
What is -2211 divided by 872?
-2211/872
Divide -323802 by -1.
323802
-569112 divided by -46
12372
Divide -353428 by 2372.
-149
Divide 51942 by 2361.
22
Divide 4 by 514905.
4/514905
What is 2103789 divided by -1671?
-1259
Calculate 113753 divided by -6.
-113753/6
Divide -459805 by -3.
459805/3
What is -115 divided by -247?
115/247
Divide 1373008 by -322.
-4264
Calculate 374022 divided by -20779.
-18
Divide -639234 by -71026.
9
-349 divided by -1485
349/1485
4 divided by 12814
2/6407
-90738 divided by -18
5041
Divide -6009700 by -4.
1502425
3 divided by 191335
3/191335
-3706 divided by -6
1853/3
What is -1 divided by -545929?
1/545929
836780 divided by -3892
-215
Divide -16641 by -1.
16641
Calculate 546612 divided by -5412.
-101
Divide -2274524 by 568631.
-4
What is 2954028 divided by -140668?
-21
32179 divided by 8
32179/8
Calculate 12466 divided by 1.
12466
Divide -167778 by -9321.
18
Calculate 54 divided by 9298.
27/4649
Calculate -7209 divided by -2403.
3
What is 2976 divided by 16?
186
263181 divided by 2
263181/2
What is 1 divided by -70906?
-1/70906
What is 16534 divided by 7?
2362
Calculate 16 divided by -10543.
-16/10543
Calculate 7632 divided by -16.
-477
1897483 divided by 3
1897483/3
Calculate 280961 divided by 4.
280961/4
What is -37 divided by 2252?
-37/2252
Divide 0 by 634054.
0
What is -383680 divided by 4360?
-88
Calculate 55 divided by 11983.
55/11983
392 divided by 473
392/473
-2028 divided by -39
52
What is -16002 divided by -7?
2286
What is 47 divided by -251?
-47/251
Calculate 148806 divided by 8267.
18
What is 26532 divided by -11?
-2412
Calculate 14839 divided by 7.
14839/7
Calculate 1519 divided by 19.
1519/19
Calculate -13862 divided by -1.
13862
What is 5 divided by -103669?
-5/103669
Divide 11193 by 3731.
3
What is -5754 divided by 1?
-5754
What is -1103292 divided by 6?
-183882
140224 divided by 4382
32
What is 32634 divided by -1813?
-18
What is 174 divided by 407?
174/407
Divide 19 by -36991.
-19/36991
Divide 828089 by 97.
8537
What is -36510 divided by 2434?
-15
What is -2279242 divided by 1139621?
-2
Divide 11750 by -194.
-5875/97
What is -42588 divided by 1092?
-39
273 divided by -1
-273
Divide -60341 by 6.
-60341/6
Calculate -34 divided by -95348.
17/47674
Divide 78 by -4621.
-78/4621
-281250 divided by 90
-3125
What is -61386 divided by -78?
787
Calculate -43874 divided by -15.
43874/15
427182 divided by 3
142394
Divide -734532 by 734532.
-1
Calculate -74 divided by -611.
74/611
-85928 divided by 467
-184
Calculate -5902721 divided by -4.
5902721/4
What is -201 divided by 43?
-201/43
-11121 divided by -337
33
Calculate 243814 divided by 14342.
17
What is 4144440 divided by -69074?
-60
-435690 divided by 24205
-18
Divide 3 by 1615.
3/1615
Divide 3276 by -15.
-1092/5
Divide -13040 by 3260.
-4
Divide 44988 by -652.
-69
Calculate 0 divided by -4068.
0
-224403 divided by 571
-393
What is -5 divided by 81026?
-5/81026
Divide -33267 by 39.
-853
5783040 divided by 6
963840
Divide 194951 by -4.
-194951/4
Divide 0 by 1263086.
0
-54648 divided by -69
792
What is -124110 divided by -24822?
5
What is 414 divided by -302?
-207/151
Divide -6190 by -3.
6190/3
What is 1928768 divided by -964384?
-2
2 divided by -403473
-2/403473
What is 2 divided by -51120?
-1/25560
What is 29 divided by -3470?
-29/3470
What is -135 divided by -1912?
135/1912
Calculate -5512 divided by 3.
-5512/3
-974988 divided by -2
487494
Calculate 1479 divided by 63.
493/21
What is 892 divided by -232?
-223/58
What is -2594480 divided by -4?
648620
-2821 divided by 1
-2821
Divide 941400 by -360.
-2615
-375 divided by -100
15/4
What is 5184 divided by -1296?
-4
-2 divided by 67926
-1/33963
-16036 divided by -16036
1
Divide -45344 by 5668.
-8
What is -4 divided by 6427?
-4/6427
Divide 812228 by -203057.
-4
-552580 divided by -110516
5
What is -9 divided by 1202?
-9/1202
What is 1626858 divided by -813429?
-2
Calculate 15862 divided by -1133.
-14
Divide 2547748 by -28.
-90991
Divide 27444 by -5.
-27444/5
What is 1802 divided by 3?
1802/3
Calculate 154724 divided by -6.
-77362/3
Divide -4 by 40880.
-1/10220
What is 9725 divided by -389?
-25
Calculate -5767 divided by 14.
-5767/14
-13 divided by 3084
-13/3084
Calculate 519495 divided by 59.
8805
Calculate -92115 divided by -5.
18423
What is -131016 divided by -65508?
2
-2808 divided by -312
9
What is 79002 divided by 7182?
11
Calculate -2069 divided by 128.
-2069/128
-2 divided by 173643
-2/173643
What is -54978 divided by 6?
-9163
Calculate -82 divided by 21.
-82/21
What is -248125 divided by -397?
625
What is 4 divided by 1209?
4/1209
-377070 divided by -10
37707
1 divided by -66873
-1/66873
What is 3513934 divided by -9707?
-362
Calculate 6 divided by 330586.
3/165293
What is -556182 divided by 198?
-28
|
{
"pile_set_name": "DM Mathematics"
}
|
n 100 is divided by 13.
9
Calculate the remainder when 334 is divided by 86.
76
What is the remainder when 1173 is divided by 205?
148
Calculate the remainder when 196 is divided by 20.
16
Calculate the remainder when 222 is divided by 21.
12
What is the remainder when 181 is divided by 21?
13
Calculate the remainder when 1160 is divided by 372.
44
What is the remainder when 1779 is divided by 10?
9
What is the remainder when 164 is divided by 15?
14
Calculate the remainder when 17 is divided by 16.
1
Calculate the remainder when 462 is divided by 116.
114
What is the remainder when 71 is divided by 18?
17
Calculate the remainder when 181 is divided by 152.
29
Calculate the remainder when 143 is divided by 48.
47
Calculate the remainder when 69 is divided by 15.
9
What is the remainder when 9708 is divided by 133?
132
What is the remainder when 29 is divided by 29?
0
What is the remainder when 227 is divided by 38?
37
What is the remainder when 72 is divided by 24?
0
What is the remainder when 25 is divided by 9?
7
Calculate the remainder when 483 is divided by 241.
1
What is the remainder when 989 is divided by 6?
5
Calculate the remainder when 89 is divided by 10.
9
What is the remainder when 107 is divided by 55?
52
What is the remainder when 174 is divided by 12?
6
Calculate the remainder when 148 is divided by 46.
10
Calculate the remainder when 878 is divided by 22.
20
What is the remainder when 92 is divided by 61?
31
What is the remainder when 218 is divided by 14?
8
Calculate the remainder when 50 is divided by 19.
12
What is the remainder when 1390 is divided by 155?
150
Calculate the remainder when 636 is divided by 22.
20
Calculate the remainder when 209 is divided by 113.
96
Calculate the remainder when 258 is divided by 44.
38
What is the remainder when 127 is divided by 10?
7
Calculate the remainder when 2321 is divided by 3.
2
Calculate the remainder when 1396 is divided by 13.
5
Calculate the remainder when 82 is divided by 22.
16
What is the remainder when 210 is divided by 49?
14
What is the remainder when 133 is divided by 66?
1
What is the remainder when 327 is divided by 324?
3
Calculate the remainder when 3059 is divided by 102.
101
What is the remainder when 15418 is divided by 22?
18
What is the remainder when 242 is divided by 2?
0
What is the remainder when 524 is divided by 31?
28
What is the remainder when 691 is divided by 25?
16
Calculate the remainder when 115 is divided by 49.
17
Calculate the remainder when 754 is divided by 10.
4
What is the remainder when 4873 is divided by 122?
115
What is the remainder when 7152 is divided by 14?
12
What is the remainder when 659 is divided by 110?
109
What is the remainder when 893 is divided by 4?
1
Calculate the remainder when 2626 is divided by 24.
10
Calculate the remainder when 2263 is divided by 748.
19
What is the remainder when 204 is divided by 199?
5
Calculate the remainder when 237 is divided by 12.
9
Calculate the remainder when 431 is divided by 12.
11
What is the remainder when 1608 is divided by 115?
113
Calculate the remainder when 542 is divided by 32.
30
Calculate the remainder when 284 is divided by 72.
68
Calculate the remainder when 12 is divided by 4.
0
Calculate the remainder when 478 is divided by 108.
46
What is the remainder when 1059 is divided by 14?
9
What is the remainder when 242 is divided by 41?
37
What is the remainder when 171 is divided by 6?
3
What is the remainder when 136 is divided by 44?
4
Calculate the remainder when 1121 is divided by 81.
68
What is the remainder when 264 is divided by 42?
12
Calculate the remainder when 203 is divided by 55.
38
Calculate the remainder when 95 is divided by 48.
47
What is the remainder when 81 is divided by 66?
15
Calculate the remainder when 714 is divided by 34.
0
Calculate the remainder when 166 is divided by 4.
2
What is the remainder when 2750 is divided by 32?
30
Calculate the remainder when 326 is divided by 46.
4
What is the remainder when 3474 is divided by 74?
70
What is the remainder when 1288 is divided by 425?
13
What is the remainder when 112 is divided by 38?
36
What is the remainder when 13437 is divided by 105?
102
Calculate the remainder when 640 is divided by 307.
26
Calculate the remainder when 538 is divided by 6.
4
What is the remainder when 263 is divided by 14?
11
What is the remainder when 675 is divided by 78?
51
Calculate the remainder when 205 is divided by 187.
18
What is the remainder when 451 is divided by 57?
52
What is the remainder when 277 is divided by 110?
57
What is the remainder when 60 is divided by 14?
4
What is the remainder when 7314 is divided by 95?
94
Calculate the remainder when 95 is divided by 25.
20
Calculate the remainder when 7588 is divided by 10.
8
Calculate the remainder when 44 is divided by 5.
4
Calculate the remainder when 475 is divided by 240.
235
Calculate the remainder when 1640 is divided by 53.
50
Calculate the remainder when 910 is divided by 16.
14
What is the remainder when 2203 is divided by 19?
18
Calculate the remainder when 64 is divided by 10.
4
What is the remainder when 1402 is divided by 342?
34
Calculate the remainder when 1510 is divided by 9.
7
Calculate the remainder when 386 is divided by 144.
98
Calculate the remainder when 199 is divided by 45.
19
What is the remainder when 256 is divided by 250?
6
Calculate the remainder when 1063 is divided by 133.
132
What is the remainder when 42 is divided by 30?
12
Calculate the remainder when 523 is divided by 43.
7
Calculate the remainder when 45 is divided by 7.
3
What is the remainder when 141 is divided by 46?
3
Calculate the remainder when 9555 is divided by 165.
150
Calculate the remainder when 220 is divided by 59.
43
Calculate the remainder when 28708 is divided by 58.
56
Calculate the remainder when 71 is divided by 26.
19
What is the remainder when 267 is divided by 21?
15
Calculate the remainder when 504 is divided by 148.
60
What is the remainder when 1926 is divided by 129?
120
Calculate the remainder when 149 is divided by 111.
38
What is the remainder when 947 is divided by 191?
183
Calculate the remainder when 182 is divided by 23.
21
Calculate the remainder when 1629 is divided by 338.
277
Calculate the remainder when 128 is divided by 26.
24
Calculate the remainder when 284 is divided by 167.
117
What is the remainder when 178 is divided by 31?
23
Calculate the remainder when 350 is divided by 32.
30
What is the remainder when 12989 is divided by 18?
11
Calculate the remainder when 636 is divided by 136.
92
What is the remainder when 1205 is divided by 78?
35
What is the remainder when 2203 is divided by 45?
43
Calculate the remainder when 275 is divided by 251.
24
Calculate the remainder when 239 is divided by 10.
9
Calculate the remainder when 2199 is divided by 100.
99
What is the remainder when 656 is divided by 101?
50
Calculate the remainder when 90 is divided by 83.
7
What is the remainder when 1820 is divided by 346?
90
What is the remainder when 731 is divided by 62?
49
Calculate the remainder when 6830 is divided by 23.
22
Calculate the remainder when 1849 is divided by 116.
109
What is the remainder when 344 is divided by 35?
29
Calculate the remainder when 1466 is divided by 30.
26
Calculate the remainder when 5597 is divided by 28.
25
Calculate the remainder when 474 is divided by 28.
26
Calculate the remainder when 7783 is divided by 3890.
3
What is the remainder when 3721 is divided by 133?
130
Calculate the remainder when 98 is divided by 21.
14
What is the remainder when 3521 is divided by 65?
11
Calculate the remainder when 368 is divided by 177.
14
Calculate the remainder when 16 is divided by 11.
5
What is the remainder when 3981 is divided by 166?
163
Calculate the remainder when 194 is divided by 2.
0
Calculate the remainder when 302 is divided by 17.
13
What is the remainder when 8124 is divided by 43?
40
What is the remainder when 987 is divided by 110?
107
Calculate the remainder when 5725 is divided by 15.
10
What is the remainder when 450 is divided by 29?
15
What is the remainder when 11 is divided by 8?
3
What is the remainder when 1145 is divided by 195?
170
Calculate the remainder when 130 is divided by 59.
12
Calculate th
|
{
"pile_set_name": "DM Mathematics"
}
|
tween 6:50 PM and 9:46 PM?
176
What is 679 minutes before 5:32 PM?
6:13 AM
What is 325 minutes before 9:02 PM?
3:37 PM
What is 552 minutes after 5:28 PM?
2:40 AM
What is 532 minutes after 12:08 AM?
9:00 AM
What is 252 minutes before 1:31 AM?
9:19 PM
How many minutes are there between 12:17 PM and 10:00 PM?
583
What is 254 minutes before 7:02 AM?
2:48 AM
How many minutes are there between 11:29 AM and 1:53 PM?
144
What is 473 minutes after 1:58 AM?
9:51 AM
What is 253 minutes after 12:27 AM?
4:40 AM
How many minutes are there between 4:29 AM and 6:05 AM?
96
How many minutes are there between 11:31 PM and 4:55 AM?
324
What is 91 minutes before 6:54 AM?
5:23 AM
What is 466 minutes after 3:37 PM?
11:23 PM
What is 76 minutes before 11:59 AM?
10:43 AM
What is 62 minutes before 11:46 AM?
10:44 AM
What is 318 minutes before 4:38 PM?
11:20 AM
What is 159 minutes before 11:10 AM?
8:31 AM
What is 419 minutes after 11:56 AM?
6:55 PM
How many minutes are there between 3:26 AM and 10:08 AM?
402
What is 704 minutes after 5:07 PM?
4:51 AM
What is 111 minutes after 10:39 PM?
12:30 AM
What is 639 minutes before 7:30 AM?
8:51 PM
What is 493 minutes after 2:08 PM?
10:21 PM
What is 135 minutes before 7:54 PM?
5:39 PM
What is 171 minutes after 6:17 PM?
9:08 PM
What is 176 minutes after 1:19 AM?
4:15 AM
What is 401 minutes after 2:20 AM?
9:01 AM
How many minutes are there between 2:34 PM and 9:12 PM?
398
How many minutes are there between 7:23 AM and 3:47 PM?
504
What is 430 minutes before 6:17 PM?
11:07 AM
What is 195 minutes after 3:06 AM?
6:21 AM
How many minutes are there between 4:27 PM and 11:06 PM?
399
How many minutes are there between 12:46 PM and 7:34 PM?
408
How many minutes are there between 5:55 AM and 6:06 AM?
11
What is 155 minutes before 6:57 PM?
4:22 PM
How many minutes are there between 10:42 AM and 1:21 PM?
159
How many minutes are there between 7:56 AM and 8:31 AM?
35
What is 414 minutes before 4:24 AM?
9:30 PM
How many minutes are there between 5:19 AM and 9:43 AM?
264
What is 303 minutes before 2:48 PM?
9:45 AM
How many minutes are there between 10:07 AM and 6:41 PM?
514
How many minutes are there between 11:09 AM and 12:09 PM?
60
What is 149 minutes before 3:38 AM?
1:09 AM
What is 304 minutes before 3:07 AM?
10:03 PM
What is 526 minutes before 8:51 PM?
12:05 PM
What is 406 minutes after 2:29 AM?
9:15 AM
What is 36 minutes before 3:27 PM?
2:51 PM
How many minutes are there between 1:52 PM and 1:56 PM?
4
How many minutes are there between 10:49 PM and 10:36 AM?
707
How many minutes are there between 2:45 AM and 5:20 AM?
155
How many minutes are there between 12:56 PM and 10:52 PM?
596
What is 710 minutes before 2:53 PM?
3:03 AM
How many minutes are there between 6:16 AM and 7:12 AM?
56
How many minutes are there between 8:20 AM and 1:22 PM?
302
What is 20 minutes before 5:17 AM?
4:57 AM
How many minutes are there between 11:36 AM and 11:04 PM?
688
What is 238 minutes before 4:55 PM?
12:57 PM
What is 300 minutes before 2:25 AM?
9:25 PM
What is 62 minutes after 3:42 PM?
4:44 PM
What is 254 minutes after 1:42 AM?
5:56 AM
What is 647 minutes before 11:30 PM?
12:43 PM
What is 159 minutes before 10:31 AM?
7:52 AM
What is 48 minutes before 8:22 AM?
7:34 AM
What is 264 minutes before 4:15 AM?
11:51 PM
What is 667 minutes before 4:22 AM?
5:15 PM
What is 52 minutes before 2:51 PM?
1:59 PM
What is 631 minutes after 5:36 PM?
4:07 AM
How many minutes are there between 2:48 AM and 9:34 AM?
406
What is 679 minutes after 5:41 AM?
5:00 PM
What is 63 minutes after 11:35 PM?
12:38 AM
How many minutes are there between 11:49 AM and 4:41 PM?
292
How many minutes are there between 11:18 AM and 10:46 PM?
688
What is 90 minutes after 7:54 AM?
9:24 AM
What is 355 minutes after 2:16 AM?
8:11 AM
How many minutes are there between 12:05 AM and 7:55 AM?
470
How many minutes are there between 4:56 PM and 10:28 PM?
332
What is 459 minutes after 7:39 AM?
3:18 PM
What is 587 minutes after 1:40 PM?
11:27 PM
What is 391 minutes before 8:26 PM?
1:55 PM
What is 127 minutes before 3:05 PM?
12:58 PM
What is 317 minutes after 3:47 AM?
9:04 AM
How many minutes are there between 4:33 AM and 9:29 AM?
296
What is 373 minutes after 3:36 PM?
9:49 PM
What is 360 minutes before 2:32 PM?
8:32 AM
What is 707 minutes before 3:49 PM?
4:02 AM
What is 404 minutes before 10:25 PM?
3:41 PM
What is 657 minutes before 9:10 AM?
10:13 PM
How many minutes are there between 2:16 AM and 9:04 AM?
408
How many minutes are there between 5:17 PM and 4:12 AM?
655
What is 9 minutes after 6:18 PM?
6:27 PM
What is 251 minutes before 5:57 AM?
1:46 AM
How many minutes are there between 2:14 PM and 6:48 PM?
274
How many minutes are there between 1:26 PM and 12:05 AM?
639
How many minutes are there between 1:00 AM and 8:46 AM?
466
How many minutes are there between 5:44 AM and 9:56 AM?
252
What is 646 minutes before 9:58 AM?
11:12 PM
How many minutes are there between 12:41 AM and 2:25 AM?
104
What is 90 minutes before 5:08 PM?
3:38 PM
How many minutes are there between 9:20 PM and 6:48 AM?
568
How many minutes are there between 1:26 PM and 12:00 AM?
634
How many minutes are there between 7:28 PM and 9:31 PM?
123
How many minutes are there between 10:18 AM and 7:51 PM?
573
What is 588 minutes after 3:55 PM?
1:43 AM
How many minutes are there between 6:55 PM and 8:23 PM?
88
How many minutes are there between 5:57 AM and 5:42 PM?
705
What is 482 minutes before 8:47 AM?
12:45 AM
What is 538 minutes after 11:16 PM?
8:14 AM
How many minutes are there between 7:53 PM and 10:44 PM?
171
How many minutes are there between 2:19 PM and 12:07 AM?
588
How many minutes are there between 10:16 PM and 9:19 AM?
663
What is 152 minutes after 5:12 PM?
7:44 PM
How many minutes are there between 5:21 PM and 6:52 PM?
91
What is 69 minutes before 7:23 AM?
6:14 AM
What is 82 minutes before 8:11 PM?
6:49 PM
What is 203 minutes before 12:34 PM?
9:11 AM
How many minutes are there between 7:26 PM and 6:13 AM?
647
What is 96 minutes after 9:27 AM?
11:03 AM
What is 474 minutes before 7:05 PM?
11:11 AM
What is 207 minutes before 4:08 AM?
12:41 AM
How many minutes are there between 1:23 PM and 1:09 AM?
706
How many minutes are there between 9:09 AM and 5:34 PM?
505
What is 185 minutes before 11:12 PM?
8:07 PM
How many minutes are there between 9:56 PM and 10:46 PM?
50
What is 611 minutes after 7:07 AM?
5:18 PM
How many minutes are there between 4:18 AM and 6:43 AM?
145
What is 491 minutes before 9:13 AM?
1:02 AM
What is 41 minutes after 5:21 AM?
6:02 AM
What is 289 minutes before 12:15 PM?
7:26 AM
What is 181 minutes before 10:06 AM?
7:05 AM
What is 560 minutes before 6:17 AM?
8:57 PM
What is 665 minutes after 7:35 PM?
6:40 AM
How many minutes are there between 2:09 PM and 4:19 PM?
130
How many minutes are there between 4:59 AM and 11:41 AM?
402
How many minutes are there between 12:06 PM and 6:01 PM?
355
How many minutes are there between 6:18 AM and 2:28 PM?
490
What is 283 minutes after 6:28 PM?
11:11 PM
What is 468 minutes before 8:49 PM?
1:01 PM
How many minutes are there between 6:22 AM and 7:29 AM?
67
How many minutes are there between 10:33 PM and 10:58 PM?
25
How many minutes are there between 11:02 AM and 7:03 PM?
481
How many minutes are there between 4:42 AM and 8:51 AM?
249
How many minutes are there between 3:05 AM and 1:10 PM?
605
What is 92 minutes after 12:10 PM?
1:42 PM
What is 132 minutes after 4:42 PM?
6:54 PM
What is 702 minutes after 6:18 AM?
6:00 PM
What is 685 minutes after 7:37 AM?
7:02 PM
What is 672 minutes before 12:05 AM?
12:53 PM
How many minutes are there between 9:54 AM and 3:21 PM?
327
What is 679 minutes before 12:31 AM?
1:12 PM
What is 430 minutes before 11:36 AM?
4:26 AM
How many minutes are there between 11:32 AM and 7:18 PM?
466
How many minutes are there between 11:59 PM and 11:46 AM?
707
How many minutes are there between 7:19 PM and 6:16 AM?
657
How many minutes are there between 1:22 PM and 3:04 PM?
102
What is 173 minutes after 10:01 AM?
12:54 PM
What is 52 minutes before 9:28 PM?
8:36 PM
How many minutes are there between 6:56 AM and 9:06 AM?
130
What is 265 minutes before 3:15 AM?
10:50 PM
How many minutes are there between 9:02 AM and 12:31 PM?
209
How many minutes are there between 1:02 AM and 8:11
|
{
"pile_set_name": "DM Mathematics"
}
|
- -1. Let r = t - 2. Let c = 1865 - 1861. Is r less than c?
True
Let o(a) = a**2 - 3*a - 5. Let p be o(4). Let z = 179 - 182. Which is smaller: z or p?
z
Let k be (-6 + 396/63)*(-7)/(-3). Let u = 1 + -0.9. Are k and u equal?
False
Let q be 3/12 + 79/(-284). Let v be (3 - 24/(-3))/(-1 + 0). Let a = v - -10. Does a = q?
False
Let q = -126 - -126.1. Is q at least as big as 1/32?
True
Let v = 2 - 3. Let t be 1*(5 + (-27)/6)*-60. Which is bigger: v or t?
v
Let c be (-1 - -5)/(0 + 2). Let t be (-11 - 8) + (0 + 0 - -1). Let b be (-4*(-4)/12)/((-33)/t). Which is smaller: c or b?
b
Let y = 492 + -507. Which is smaller: y or -7?
y
Let f = 41.2 + 7.8. Let k = -24.939 + -0.061. Let y = f + k. Which is smaller: y or 2/5?
2/5
Suppose -19 + 49 = 5*z. Let f = -3433/5 + 692. Which is bigger: z or f?
z
Let p = 525/4 + -2633/20. Which is greater: -0.0723 or p?
-0.0723
Let a = 8.887 - -0.213. Let k = a - 9. Let s = -0.3 + k. Is s at most as big as 2/9?
True
Let j be ((-2)/17)/(0 - (0 - 1)). Let f be (4/5)/(4/10). Let o = f + -2. Which is smaller: j or o?
j
Let n = -788 - -786. Is n at least as big as 8?
False
Let x(w) = 60*w - 24. Let j be x(-2). Do -144 and j have different values?
False
Suppose 1225 = -3*r + 5*h - 444, 5*r - 4*h + 2773 = 0. Which is greater: -552 or r?
-552
Let i = 5 + 1. Let c = 24 - i. Suppose 7*q - 2*q + c = -2*g, -4*q + 4 = -3*g. Which is smaller: -5 or g?
-5
Let n = 0.223 + -2.223. Does 0.212 = n?
False
Let o = 76 + -74.8. Let m = 3.2 - o. Is m smaller than 3.2?
True
Let t = -62 + 64. Is 2.2 smaller than t?
False
Suppose 25 = -j - 3. Let u be -4*(j/(-16) + -2). Is u less than or equal to -3/11?
False
Suppose -12 = -14*s - 96. Let t be (18/30)/(1/(-5)). Which is bigger: t or s?
t
Let t = -1 - -2. Suppose -21 - t = 4*d - 2*f, 2*f = 2*d + 10. Let q be (3/(-3) - 5)*2/3. Which is smaller: d or q?
d
Let f = -1.3 - 4.7. Let u be (-13)/48*2 + 4/6. Which is bigger: u or f?
u
Suppose 0 = -20*l + l - 3971. Is -209 <= l?
True
Let b be (70/(-66) - 2) + 3. Let c(q) = 3*q + 79. Let s be c(-26). Which is greater: s or b?
s
Let m(q) = 7*q**2 - 20*q + 10. Let w be m(6). Is 143 at most as big as w?
False
Let g be 6/(-22) + (-960)/1320. Which is greater: 6 or g?
6
Let p = -860 + 860.2. Which is bigger: 0.36 or p?
0.36
Suppose -z = z + 2. Let m be 0 + (-372)/(-11) + z. Let j = m + -33. Is -1/2 at most j?
True
Suppose -3*j = -p - 3*p + 20, -2*j = -p + 10. Suppose 0*h + 20 = -p*h. Let a be (4/h)/(7/5). Which is smaller: 1 or a?
a
Let j = 303.06 + -303. Is -0.034 >= j?
False
Let i = -3 + 43. Let l be (0 - (-4)/i)*-4. Which is bigger: -0.2 or l?
-0.2
Let p = 2/8519 + 10921/136304. Which is smaller: p or -0.1?
-0.1
Let d(l) = l**2 + l - 1. Suppose -u + 5*a - 2*a = 2, -3*u - 2*a + 5 = 0. Let v(z) = 5*z + 10. Let x(b) = u*v(b) + d(b). Let i be x(-4). Are i and -2/11 equal?
False
Suppose -5*v + 343 = n, -3*v - 2*n = -0*v - 203. Which is smaller: 71 or v?
v
Let m = 125 - 125.44. Let p = -0.12 - -0.26. Let w = m + p. Which is smaller: w or 0.2?
w
Let p be ((-3)/(-7))/((-5128)/16 - 5). Which is smaller: p or -1?
-1
Let g(y) = -2*y + 6. Let x be g(-5). Suppose -2*h = -6 - 10. Let f = h - x. Is f > -2?
False
Let f = -411 - -411.16. Let s = 3 - 2.9. Which is smaller: s or f?
s
Let g = -16 - -73. Suppose 5*h - l - g = 69, -5*h + 114 = -4*l. Suppose z + 3*i + h = 0, 5*i = -z - z - 47. Which is smaller: z or -12?
-12
Let q(y) = y**2 - 6*y + 3. Let n be q(4). Let j = n + 3. Let k be 6/24*8*1/(-1). Are k and j equal?
True
Let u = -103 - -85.2. Let t = u - 0.2. Do -1 and t have the same value?
False
Let c be (12/(-24))/(6/(-4) - -2). Which is smaller: 1/1174 or c?
c
Let g = -9 + 5.4. Let h = -0.4 + g. Which is smaller: 1 or h?
h
Let a be ((-9)/(-165))/(3/2). Let x(q) = 2*q - 12. Let j be x(-5). Let n = -23 - j. Which is greater: n or a?
a
Let m(o) = -57*o + 285. Let b be m(18). Which is bigger: b or -743?
b
Let n = 1481 + -7373/5. Let p be (-420)/(-40)*(-2)/(-12)*4. Which is bigger: p or n?
p
Suppose -1218*b + 1225*b + 77 = 0. Is b at least as big as -110/9?
True
Let b be 3*((-28)/6 + 8). Is 43/5 not equal to b?
True
Suppose 0 = 5*i - 5*z - 100, -44 = -2*i - 2*z + 6*z. Which is bigger: i or 14?
i
Let g be (3/(-9))/(1/6). Let l be (-160)/1232 - g/11. Is 1 at least as big as l?
True
Let z = 1221 + -1213.97. Let d = 0.03 - z. Let o = -13.2 + 13. Does o = d?
False
Let f(d) = -2*d**3 - 2*d**2. Let t be f(-2). Let r be 10/(-20)*t/(-1). Is 4 < r?
False
Suppose 18*v + 5 = 43*v + 5. Let w be 4*(13/6 - 2). Which is bigger: w or v?
w
Let y(k) = -4 - 9 + 3*k + 0*k - 2*k. Suppose 2*i - 5 - 15 = 0. Let l be y(i). Which is greater: -4 or l?
l
Let w be (-193)/(-115) + -2*1/10. Which is smaller: w or 2?
w
Let i = -5 - -1. Let l be 3 - 6/9*3. Let k be 1/i + l/4. Which is smaller: 3/5 or k?
k
Let i = -1.71 - -0.3. Let t = 13.61 + i. Let h = -12 + t. Does h = 1/5?
True
Let x = 117 - 93. Suppose -5*h = -2*a - 3*a + 120, -3 = -3*h. Is x <= a?
True
Let g = -24 + 26. Suppose -3*b - 3 = -d + 15, -21 = -2*d + 3*b. Suppose 3*q - 14 = 4*c, -g*c - d*q - 11 = -c. Which is smaller: c or -11/3?
c
Let r = -59 + 71. Suppose 8*y - 72 = r*y. Is 0 not equal to y?
True
Let y = 1040 + -1113. Which is smaller: -67 or y?
y
Let t = -2483 - -2484.017. Let u = t + -0.017. Which is smaller: u or -5?
-5
Suppose -60 = -3*v + 6*v. Let k be 5/v + 7/12. Let d = -4/35 - -191/140. Is k at most as big as d?
True
Let n be 112/54 - (1 - -1). Let k = 308 - 308. Is n at most as big as k?
False
Suppose -c + 2*x + 7 = 0, -7 - 10 = -3*c + 5*x. Is c smaller than 6/43?
True
Let o(a) = a**3 - 5*a**2 - a. Let b be o(-4). Let i = -703/5 - b. Do 0.2 and i have the same value?
False
Suppose 0 = 3*d - 5*d. Let m be (-11)/(-63) + (99/21 - 5). Which is smaller: d or m?
m
Let s be (-2 - 20)*(-1)/(-2). Let u(h) = 6*h**2 + 36*h + 16. Let o(d) = -d**2 - 7*d - 3. Let f(g) = s*o(g) - 2*u(g). Let r be f(5). Which is bigger: -1 or r?
r
Let a = 4.47 + -4.27. Which is smaller: 30 or a?
a
Let r = 20 + -26. Let y = 4 - 2. Let a = y + r. Is -4 < a?
False
Suppose -2*l - 40 = -2*s, -l - 4 = -0*l - 5*s. Let p = 27 + l. Suppose 5*h - 4 = k - 2*k, -4*k + 85 = -p*h. Which is greater: k or -2/5?
k
Suppose -m = m + 2*p - 92, 0 = 3*m + 5*p - 136. Suppose 0 = -6*f + m + 49. Suppose -i - 2 = i. Which is bigger: i or f?
f
Let n = 43114639500/1939 - 22235502. Let o = n + -2/277. Let g(b) = b + 8. Let k be g(-6). Is k >= o?
True
Suppose 2*b + 3*b = 70. Let j be (-17)/(-51) + b/(-15). Which is smaller: -10 or j?
-10
Suppose -12*z - z - 4433 = 0. Is z at least as big as -339?
False
Let b = 0 + -1. Suppose a = -3*p - p - 16, -3*p - 12 = 4*a. Suppose -5*z - 2*z = a. Which is greater: z or b?
z
Suppose 2 = -2*a - 2. Let v be a/6 + (-183174)/(-8118). Let s = 244/11 - v. Which is greater: s or 0?
0
Let m = -75 - -52. Let r = -26 - m. Which is smaller: -2 or r?
r
Suppose -83*g = -80*g - 1215. Suppose -16*z = -7*z + g. Is -45 at most z?
True
Let l = 1.9 - 2. Let q be ((2/(-5))/1)/((-154)/35). Which is smaller: l or q?
l
Suppose i = -2*i. Let o(d) = d**3 - 6*d**2 - d + 3. Let g be o(6). Let f be (-2 + (-10)/(-6))/(g/(-9)). Are f and i nonequal?
True
Let c(z) = 13*z + 26. Let m be c(5). Let x = m - 119. Which is bigger: x or -27?
-27
Let n = -96 + 177/2. Suppose -4*j + j - 21 = 0. Which is greater: j or n?
j
Let o(j) = -j**3 - 9*j**2 + 10*j - 27. Let q be o(-11). Let y = 106 - q. Which is smaller: 3 or y?
y
Let s(o) = o**3 + 2*o**2 + 4. Let g be s(-3). Let m = -50/3 + 73/6. Is g smaller than m?
True
Let k be (-70)/(-8) - ((-260)/(-80) + -3). Which is greater: k or -5?
k
Suppose 3*l - 9 = -3*s, 5*l - 11 = -2*s - s. Is 22/21 less than s?
True
Let f be (-10)/(-15) - 38/(-6). Suppose 2*h = 4*s - 4, -h + 4*s + 1 = f. Let g = 0.0824 + -0.1824. Which is greater: g or h?
h
Let f be (-9 + 11)*(4 - (-484)/(-120)). Which is bigger: 1 or f?
1
Let u be (8/(-20))/(72/(-160)). Let t(p) = p + 7. Let x = 8 + -13. Let c be t(x). Which is greater: c or u?
c
Suppose -5*k = -2*c - 11, 8*c - 7*c + 5 = 2*k. Is 2/879 smaller than k?
True
Suppose 5*v + 4*q + 18 - 47 = 0, 0 = -2*v - 2*q + 10. Let d(g) = g**2 - 8*g - 6. Let t be d(v). Suppose 2*z + 1 - 11 = 5*c, 3*c + 15 = t*z. Is 2 at least z?
False
Let j(w) = w - 5. Let z be j(10). Suppose -b + z*b = 0. Let q be 0/(3 - 1 - b). Which is bigger: q or -7?
q
|
{
"pile_set_name": "DM Mathematics"
}
|
5731.95708005
Subtract 35.321091889 from 1.
-34.321091889
What is -30.6980205864 less than -5?
25.6980205864
Calculate 2.2 + -24358385997.
-24358385994.8
Subtract -270766305 from -4572.
270761733
What is -55470.721 - -8309?
-47161.721
Work out -0.3 + -3.339213921543.
-3.639213921543
-4740.9468 + 11372.7
6631.7532
212835 + -14865227.46
-14652392.46
Sum -22474760 and 110842.
-22363918
120407 - -18.42
120425.42
Sum -255396 and 1615.677.
-253780.323
Sum 1998 and -12789251.15.
-12787253.15
Sum 5412.49 and 1.7818674.
5414.2718674
Calculate -0.17 - 3324558506517.
-3324558506517.17
Work out 1 + 88943450969.
88943450970
Add -18543539574.9 and -35.
-18543539609.9
What is -9 take away 3541841666932?
-3541841666941
What is -3909 - -324245448?
324241539
Add 28766.1955 and 1.6618.
28767.8573
What is -165564 less than -3932897?
-3767333
Put together -8454 and -42785119.
-42793573
What is -1740.2329 - 4527?
-6267.2329
What is -0.17 + 28830579521?
28830579520.83
Work out -144.08 - -13649.6687.
13505.5887
Add together 1752782885097 and -0.2.
1752782885096.8
Add -1817573 and -2045389.
-3862962
What is 0.03 minus 2696706108840?
-2696706108839.97
-0.208270596621 - 0.6
-0.808270596621
What is the distance between 27247 and -1427057928?
1427085175
Calculate -14.7777388501263 + 0.4.
-14.3777388501263
What is 6.451 - 561506.65?
-561500.199
What is the difference between -78433 and -0.7255221?
78432.2744779
What is -2214.08291 take away 19947?
-22161.08291
Calculate 15104 - 11688961738.
-11688946634
Subtract -37.0267 from 4210634.
4210671.0267
Add -16.5015258578 and 1.5.
-15.0015258578
Work out 7821060.9371 + 239.
7821299.9371
-3486.033 - -1364474
1360987.967
What is 1727233858 take away -4002?
1727237860
What is 16 + 17654986603535?
17654986603551
What is -12.0061066495 take away -7?
-5.0061066495
Calculate 1009.3412376 - -48.76.
1058.1012376
What is -42768845949693 + -9?
-42768845949702
1687848460+-0.4488
1687848459.5512
3 - -3.59876685981
6.59876685981
721921055 + -171
721920884
What is -3851 + 5041679878?
5041676027
Subtract 4226480504520 from -0.15.
-4226480504520.15
Work out -93666286 + 184312.5.
-93481973.5
Subtract 655487.5943 from -1.2768.
-655488.8711
Put together -19 and 8875240.947.
8875221.947
What is 7373633.371 minus -559.96?
7374193.331
What is -1004 take away 13.2999307719?
-1017.2999307719
Total of 0.15397493075 and -0.332.
-0.17802506925
Work out -13976506.51 - 30248.
-14006754.51
What is the difference between 31 and -547.4206405511?
578.4206405511
Put together -14 and 185651997097.
185651997083
Calculate 936869511275 - 1.
936869511274
What is -0.014174 + 6.24185?
6.227676
Calculate -5 - -803879760456.
803879760451
Calculate -0.10309815 - 0.025425.
-0.12852315
50 - 479315468574
-479315468524
Total of 616 and 2333582439.
2333583055
Add together 59733073877 and -0.1.
59733073876.9
Put together 1.27 and 47.31451175.
48.58451175
Put together 4465573 and -24849.
4440724
Work out 283.270752 - -63276.
63559.270752
0.0818335 + 52208059
52208059.0818335
What is -206990536 take away 0.338?
-206990536.338
Add together -92631677.7 and 10389.
-92621288.7
434.224962 - 12716
-12281.775038
Work out -0.06 + -60307818.4.
-60307818.46
What is the distance between -0.17180231135137 and 2?
2.17180231135137
Sum 3.056059183 and 557.
560.056059183
Calculate 333 - -451281.4895.
451614.4895
Work out 38622188333 + 5.
38622188338
What is -1557.5629 plus 644003?
642445.4371
Add together 0.232867949458 and -0.11.
0.122867949458
Calculate 4.28 - 1259927881.
-1259927876.72
Put together -0.081859507 and -2.019.
-2.100859507
95473276238920+0
95473276238920
What is -68597308.296 take away -13?
-68597295.296
Put together 1730.513998 and -0.155879.
1730.358119
What is -143 minus -59806359.859?
59806216.859
Total of 240235245 and 0.258795.
240235245.258795
Calculate -494297889 + 321.
-494297568
What is 105057906425 minus -191.4?
105057906616.4
Calculate 1646654083966 + -33.
1646654083933
Put together 1087906349.8 and 5.
1087906354.8
What is 8158155827 - -17?
8158155844
Calculate -1184244 + 76142.
-1108102
1479 + 424390186
424391665
What is the distance between -10204178 and -6615072?
3589106
Subtract 7223560491099 from 1.
-7223560491098
What is 820950 - -30.65847?
820980.65847
596.49089112343+-2
594.49089112343
Work out -0.03663457200605 + -0.51.
-0.54663457200605
120228769 + 550
120229319
Work out 1696963469.2727 - -2.
1696963471.2727
Total of -442829.8401231 and -5.
-442834.8401231
What is -0.07421 plus 131266.9894?
131266.91519
Sum -1758327122.644 and 165.
-1758326957.644
Total of -71620901072 and 2.
-71620901070
Work out 0.01 + 149.173939776.
149.183939776
What is 23.01 minus -0.0244059998619?
23.0344059998619
-31 - -27639113763
27639113732
Work out 0.7591237874 + 0.02.
0.7791237874
Put together 28.46 and 161950.797315.
161979.257315
Total of 71283 and -251.606274.
71031.393726
What is the distance between 19.8224030178 and -0.2?
20.0224030178
What is 0.0684508703 + -346?
-345.9315491297
What is 0.1 take away -183363279647208?
183363279647208.1
Put together 1279.1451 and 56606.
57885.1451
What is the distance between 5000804862778 and 2?
5000804862776
Add together 4494 and -1.492665883.
4492.507334117
Add -6428018095 and 0.11.
-6428018094.89
What is the distance between 4 and 14737638961?
14737638957
28667.03 - 1255337
-1226669.97
Work out 93439.0668 - 1.7.
93437.3668
Total of 0.0372319906353 and -0.3.
-0.2627680093647
What is -21880 - -0.184823398?
-21879.815176602
What is the distance between -1767461525.9926 and -1?
1767461524.9926
-15833264 + -37794.3
-15871058.3
Calculate -862863 - -93686.
-769177
Add -6654 and 276302832.
276296178
What is -2333.5715 less than 13292753?
13295086.5715
Subtract -0.3 from 49474142343.
49474142343.3
Subtract -1055223709672 from -3.
1055223709669
Sum 5006984326 and 3.5.
5006984329.5
Subtract 454282761458.1 from 4.
-454282761454.1
What is -47178188 less than 4536.8?
47182724.8
What is 982336176 plus 1.7?
982336177.7
Work out 5561057.348 + -1355.
5559702.348
What is 1 take away 5924435567.12?
-5924435566.12
Add together 0.1 and -10921067739.
-10921067738.9
What is 3 - -1192388966.9?
1192388969.9
Put together 0.343388 and 2786024.
2786024.343388
What is the difference between 990774.31 and 427699?
563075.31
Subtract -414.90252778 from 259.
673.90252778
Work out -0.2 - -4342990.2429.
4342990.0429
Subtract -4511847 from 44741.
4556588
Work out -1235.49157 - -467485.
466249.50843
Work out -7830 + -3945.393.
-11775.393
Subtract -2862727 from 0.2651.
2862727.2651
Work out -761.36674 - -0.1.
-761.26674
Total of -7.061 and 26067639990.
26067639982.939
Add together -394459800605 and 0.5.
-394459800604.5
What is -1848 take away 232489.4549?
-234337.4549
Add 3290.148 and 4.864858.
3295.012858
Add together -9140058 and 9173.
-9130885
Calculate -3 - 14851.0452212172.
-14854.0452212172
What is 1292518405 less than -56?
-1292518461
-0.051067619116 - 86
-86.051067619116
Work out 46879 + -12911.18151.
33967.81849
-0.13 + 7117545516
7117545515.87
Calculate -3666872901822 - -32.
-3666872901790
Total of 1.4 and 2409.79528719.
2411.19528719
Subtract 0.7 from -2.3804557856.
-3.0804557856
What is 524623598141 less than 18?
-524623598123
What is -1822259002.9 - -2?
-1822259000.9
Subtract -2562011 from -0.015623.
2562010.984377
Add -0.2606019 and 63126877.
63126876.7393981
Sum -1361752067633 and 50.
-1361752067583
Total of 1.658545218826 and 75.
76.658545218826
Work out 19.74956569 + -15015.
-14995.25043431
Calculate 27650495557007 - -42.
27650495557049
97.2+-4.88911919262
92.31088080738
14778639521+-74
14778639447
Work out -13940037 + 2174015.
-11766022
What is 49.55989716913 plus -1?
48.55989716913
Subtract -2 from -108925973000.
-108925972998
Calculate -1423874971 - -5323.
-1423869648
Total of -0.094934728 and -1.3318.
-1.426734728
Work out -1356130402 - 130.31.
-1356130532.31
What is -18944635 take away 53.18?
-18944688.18
129414.696 + -17103
112311.696
Subtract 230.42 from -876063.28.
-876293.7
What is -1 less than 7346183749.5037?
7346183750.5037
Total of 32397 and -0.1705152.
32396.8294848
Add together 9132 and -568458883.
-568449751
What is 4 minus -0.026476485140969?
4.026476485140969
Add together 0.14 and 86662860470.1.
86662860470.24
Work out -7246207965966 -
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) -0.08 (d) 0.2
b
What is the nearest to -2 in 21, 5, 2?
2
Which is the nearest to 0? (a) 2 (b) -5 (c) -0.04 (d) 10
c
Which is the closest to -1? (a) 2 (b) -2 (c) 0.2 (d) -7
b
What is the closest to 2/17 in 1/4, -2/23, 1?
1/4
What is the closest to -2/7 in 0, -2/5, 5, 0.1?
-2/5
Which is the nearest to 12? (a) 1 (b) -2 (c) -10.8 (d) 0.1
a
Which is the closest to -3? (a) 0.4 (b) 1 (c) -5/2 (d) -3
d
What is the nearest to -0.1 in -0.1, -12, 10?
-0.1
What is the nearest to 37 in -5, 3, -0.6?
3
What is the nearest to -0.1 in -0.5, 0.00537, -5?
0.00537
Which is the nearest to -1/4? (a) 4 (b) 1 (c) -4/3
c
Which is the closest to -1? (a) 3 (b) 0.3 (c) 1 (d) -2
d
Which is the nearest to -1? (a) 3 (b) -0.3 (c) 0.278
b
What is the nearest to -1/9 in 4, 4/7, -1, 27?
4/7
What is the closest to -4/3 in -2/13, 9, 8, 2?
-2/13
What is the closest to 1/2 in -144, 1, -2?
1
Which is the closest to -0.1? (a) 0.2 (b) 0.4 (c) 2 (d) -1/517
d
What is the closest to 1/2 in -8, -31, -0.1, -4?
-0.1
Which is the closest to -2/5? (a) 1 (b) -5 (c) -14 (d) 0.02
d
Which is the closest to 0.1? (a) 2/13 (b) -4/3 (c) -2/9 (d) 2
a
Which is the nearest to -1/3? (a) 0.4 (b) 0.45 (c) 0.2 (d) -1
c
Which is the closest to 0.03? (a) 1/3 (b) -2 (c) 0.4 (d) 0.19
d
What is the nearest to 111 in -2, 0, 0.3?
0.3
What is the nearest to -12 in -0.3, -0.1, 2/5, 0.08?
-0.3
Which is the closest to 0? (a) -2.2 (b) 6 (c) -3
a
What is the nearest to -1 in -3, -2, -6/5?
-6/5
Which is the closest to -2/7? (a) -24 (b) 0 (c) -0.1 (d) 0.4
c
What is the closest to 1 in 4, 6, 7, -1/2?
-1/2
What is the closest to -1/4 in 0.12, 0.2, -4/9, 3?
-4/9
What is the closest to 44/9 in 2, 1/10, -6?
2
What is the closest to -4 in 3/4, 1, -3, 3/2?
-3
What is the closest to -10 in 0.5, -9, -3/5?
-9
Which is the nearest to -1? (a) 2 (b) 2/15 (c) 1/4 (d) 42
b
What is the closest to -3/4 in -42, -15/8, 2/9, -0.1?
-0.1
What is the closest to 0 in -8, -12, 0.4?
0.4
Which is the nearest to 0? (a) 1/4 (b) -4 (c) 41
a
Which is the closest to 2? (a) 0.1 (b) -1/5 (c) -14.1
a
What is the nearest to 1 in 0.4, 5, 0.04, -1/45?
0.4
What is the closest to -2 in -5, 2/3, 3, -63?
2/3
What is the closest to 8 in 1, 2/13, -3, 5?
5
What is the nearest to -0.06 in 0.09, -1, -2/9, -3?
0.09
Which is the nearest to 1.7? (a) 4 (b) -9 (c) -4
a
What is the closest to -1 in 0.04, -0.3, 5, 0.1?
-0.3
Which is the closest to 2/9? (a) 0.3 (b) -1/6 (c) -252 (d) -4
a
What is the closest to -4 in 4, 0.02, -2/5?
-2/5
Which is the nearest to -0.1? (a) 0.3 (b) -2 (c) -0.06 (d) 2
c
Which is the nearest to 0.2? (a) 0.5 (b) 5 (c) -0.4 (d) -43
a
Which is the nearest to -2/7? (a) 3 (b) -3 (c) -2 (d) -1
d
Which is the closest to -0.1? (a) 4/7 (b) -4 (c) 90
a
Which is the closest to 0.11? (a) 1 (b) 1/4 (c) -0.1
b
What is the closest to 0.1 in -0.3, -3/19, -2/3?
-3/19
Which is the closest to -1? (a) -13 (b) -4 (c) 5 (d) -26
b
What is the nearest to 3/11 in -177, -0.1, -1?
-0.1
Which is the closest to 1? (a) 1 (b) -0.5 (c) 0
a
What is the nearest to -3 in -1, -1/2, -12/7, 0?
-12/7
Which is the nearest to -1? (a) -0.1 (b) 0.4 (c) 1/5 (d) 5
a
Which is the nearest to 19? (a) 14 (b) 0 (c) -2/7
a
Which is the nearest to 1/4? (a) 6 (b) -4/3 (c) 15 (d) 4
b
Which is the nearest to -13? (a) -0.1 (b) 2/15 (c) -1 (d) 0.4
c
What is the nearest to -1 in -21, -0.5, -4, 0.3?
-0.5
What is the closest to 1.1 in 0.5, -1/7, 0.1, 0.3?
0.5
Which is the nearest to 1? (a) 0.2 (b) 5 (c) -4/9 (d) 11
a
Which is the nearest to 0.1? (a) -4 (b) 2/7 (c) 1/4 (d) -1/10
c
What is the closest to 1 in -4, -0.82, -5, -1?
-0.82
What is the nearest to -3/2 in -2, -2/127, 12?
-2
What is the closest to -1 in -2/3, 5/8, -2/5?
-2/3
What is the nearest to -9 in 0.17, 1, -3/5, 4?
-3/5
Which is the nearest to -1/2? (a) 2/7 (b) 18 (c) -1/7 (d) 0.5
c
What is the closest to 1/2 in -5, 152, 2?
2
What is the nearest to 0 in -2/13, 2/5, 1.87?
-2/13
Which is the closest to 1/10? (a) -3 (b) 0.5 (c) 3
b
Which is the nearest to 1? (a) 4 (b) 5 (c) -1
c
What is the closest to -107 in 2, 0.1, -1?
-1
Which is the nearest to -0.6? (a) -2/3 (b) -2/19 (c) 5 (d) 0
a
What is the closest to -0.01 in 2/11, 3, 2/13?
2/13
What is the closest to 1/3 in -6, 1, 0.06?
0.06
Which is the nearest to -1? (a) -9 (b) 2 (c) 5
b
Which is the closest to -2? (a) -2/3 (b) 1 (c) -0.1 (d) -2/51
a
What is the closest to -6/5 in -1/2, 5, -8, -4?
-1/2
Which is the closest to 0.01? (a) -5 (b) 10 (c) 4 (d) -4
c
What is the closest to -0.1 in 0, 0.082, 2?
0
What is the nearest to 1 in -5, 14, -44, -0.1?
-0.1
What is the closest to -1/4 in -0.4, 609, 2, 1/4?
-0.4
Which is the closest to -1.024? (a) -0.5 (b) 0 (c) -3
a
Which is the closest to -2? (a) 0 (b) 225 (c) -2/3 (d) 4
c
Which is the nearest to -4/9? (a) -2 (b) 4 (c) 0.3 (d) 1
c
Which is the nearest to -0.015? (a) 3 (b) 4/5 (c) 3/7 (d) -0.1
d
What is the closest to -55 in 0.1, -0.1, -0.3?
-0.3
Which is the closest to 0? (a) -21 (b) -4 (c) 7
b
What is the closest to -1 in -387, -4, 0.1?
0.1
Which is the closest to 4? (a) 0.2 (b) 4 (c) 2/3 (d) -1
b
What is the nearest to 0.1 in -0.05, -7, 14?
-0.05
Which is the closest to 2/5? (a) 1/3 (b) -15 (c) -2/3
a
Which is the nearest to -207? (a) -0.5 (b) 3 (c) -3/5
c
What is the nearest to 3/19 in -2/9, 1, 3?
-2/9
What is the nearest to -2 in -5, 2, 5/3?
-5
Which is the closest to -0.3? (a) -1.4 (b) -2 (c) 4
a
Which is the nearest to 0.1? (a) -0.2501 (b) -1 (c) -1/5
c
What is the closest to 47 in -2, -0.5, -4, 0?
0
What is the closest to -34 in -0.3, 2/5, -3, -0.5?
-3
Which is the nearest to 2/3? (a) 0.2 (b) -2 (c) -1/2 (d) 2
a
Which is the closest to 2? (a) -0.31 (b) -1 (c) 1/4
c
Which is the closest to 3? (a) 5.1 (b) 0.5 (c) -2/11
a
What is the closest to 1 in -16, 4/3, -19?
4/3
Which is the nearest to 0? (a) 4/9 (b) -0.05 (c) 16
b
What is the closest to -1/40 in 1/6, -3/7, -3/2?
1/6
Which is the nearest to 0.1? (a) -1/4 (b) -6/73 (c) -1
b
What is the closest to -0.05 in -4, 1/3, -0.4, -1/3?
-1/3
Which is the nearest to 0.1? (a) -1/9 (b) -4 (c) -0.1
c
What is the nearest to 2 in -5, -0.2, -0.5?
-0.2
Which is the closest to -0.45? (a) -3 (b) 0.2 (c) -2/5 (d) -2/11
c
What is the nearest to 0.3 in -5, 2, 5, 0.2?
0.2
Which is the nearest to -1? (a) 0.4 (b) -11/4 (c) 3/2
a
Which is the nearest to 1? (a) -2/17 (b) 1 (c) 5 (d) 1/16
b
What is the closest to -1/3 in -4, -0.3, 378?
-0.3
What is the closest to 2/7 in 5, -0.9, 2, 3?
-0.9
What is the nearest to -2 in -0.02, 3, -15, -0.1?
-0.1
What is the closest to -5/17 in 0, -0.3, 0.4?
-0.3
Which is the closest to -4.4? (a) 0.2 (b) 5/3 (c) 1/6 (d) -0.4
d
Which is the nearest to -5? (a) -3/2 (b) 2/7 (c) 4 (d) 1
a
Which is the nearest to 0.1? (a) 143 (b) -2 (c) 0.08
c
Which is the closest to 1? (a) -0.4 (b) -1 (c) -2/15 (d) -52
c
Which is the closest to 1/4? (a) 1/6 (b) 2 (c) 3/4 (d) -2
a
What is the closest to 2 in 2/15, -4, 1, -0.5?
1
Which is the nearest to -126? (a) 2 (b) -3 (c) 2/13
b
Which is the nearest to -0.2? (a) -3/5 (b) 4 (c) -0.2
c
Which is the nearest to -1/4? (a) -5 (b) 0.2 (c) 3/8 (d) 8
b
What is the closest to 1 in -6/17, 0.5, -0.6, 0.2?
0.5
Which is the closest to 0? (a) -4 (b) 1 (c) -1/10 (d) 9
c
Which is the nearest to 1/208? (a) -6/7 (b) 0.3 (c) -3
b
Which is the nearest to 1? (a) -2/7 (b) -4 (c) -85 (d) 0.2
d
Which is the nearest to 0.05? (a) 2/7 (b) 0.3 (c) 1/10 (d) 0.17
c
Which is the nearest to 0.3? (a) 5/4 (b) 2/3 (c) -0.4 (d) 3
b
What is the nearest to 1 in -0.1, -1/6, 1, -3/4?
1
Which is the nearest to -5/2? (a) -4/27 (b) 1/9 (c) 4
a
Which is the nearest to 1? (a) 5 (b) -2 (c) 1/7
c
What is the nearest to 1 in -0.4, 1/3, 1.3, 2/13?
1.3
Which is the nearest to -0.1? (a) 3/4 (b) 0.8 (c) 1
a
What is the closest to -2/5 in 0.2, 2/19, 0, 1/2?
0
What is the closest to 0 in -3/4, -1/3, 0.2, 19?
0.2
Which is the nearest to 0? (a) 3 (b) -2/5 (c) 0 (d) 1
c
Which is the nearest to -2/7? (a) -3/7 (b) 5 (c) 1.2
a
Which is the closest to 10? (a) -2.7 (b) -5 (c) 0.3 (d) -1/3
c
What is the closest to 2 in -305, 2, 3?
2
What is the n
|
{
"pile_set_name": "DM Mathematics"
}
|
5/26
What is prob of picking 1 l and 1 t when two letters picked without replacement from {y: 1, t: 1, n: 1, d: 1, p: 2, l: 1}?
1/21
Two letters picked without replacement from {o: 1, r: 1, t: 2}. What is prob of picking 1 t and 1 r?
1/3
Four letters picked without replacement from {r: 1, e: 1, z: 2, n: 4, t: 3, m: 4}. What is prob of picking 3 t and 1 m?
4/1365
What is prob of picking 2 a and 2 h when four letters picked without replacement from {i: 1, a: 4, h: 5, l: 1}?
2/11
Calculate prob of picking 1 u and 2 l when three letters picked without replacement from uuldl.
1/5
Calculate prob of picking 4 m when four letters picked without replacement from vmmfmmvvmmmvm.
14/143
Four letters picked without replacement from oyyyyyoyyyoy. What is prob of picking 4 y?
14/55
Four letters picked without replacement from vpvppppvppv. Give prob of picking 3 v and 1 p.
14/165
Three letters picked without replacement from {q: 7, e: 4, l: 2, d: 1}. Give prob of picking 2 q and 1 e.
3/13
Two letters picked without replacement from {v: 1, d: 2, a: 1}. What is prob of picking 2 d?
1/6
Calculate prob of picking 1 u and 1 s when two letters picked without replacement from suucucsscuc.
12/55
What is prob of picking 2 u, 1 z, and 1 v when four letters picked without replacement from zyuvuyywvuwvyu?
18/1001
Three letters picked without replacement from {t: 17, h: 3}. What is prob of picking 1 h and 2 t?
34/95
What is prob of picking 2 p and 1 i when three letters picked without replacement from ipiippipiipiiipiippp?
33/95
Four letters picked without replacement from qyyqyy. Give prob of picking 2 q and 2 y.
2/5
What is prob of picking 1 r and 1 v when two letters picked without replacement from eevxeerxrxkkrkrk?
1/30
What is prob of picking 3 x when three letters picked without replacement from {e: 9, x: 3}?
1/220
Three letters picked without replacement from {p: 3, v: 1, i: 3, n: 2, y: 1, m: 2}. What is prob of picking 1 m and 2 n?
1/110
Two letters picked without replacement from ppppdpppppppp. Give prob of picking 1 d and 1 p.
2/13
What is prob of picking 4 v when four letters picked without replacement from jvjvvvvvjvvv?
14/55
Four letters picked without replacement from hbbbbybybbbyybyh. Give prob of picking 3 b and 1 h.
6/65
What is prob of picking 3 c when three letters picked without replacement from jjjjjcjccjjcjcjjjjj?
10/969
Two letters picked without replacement from {i: 2, h: 2, p: 2}. Give prob of picking 2 i.
1/15
What is prob of picking 2 c when two letters picked without replacement from sssenccccsccn?
5/26
Four letters picked without replacement from {n: 1, f: 7, m: 4, b: 1, p: 4, u: 1}. Give prob of picking 1 n, 1 p, 1 m, and 1 b.
4/765
Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {z: 2, f: 4, a: 1, u: 10}.
5/34
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {n: 3, c: 1, g: 5}.
5/12
What is prob of picking 1 c and 1 t when two letters picked without replacement from {r: 5, c: 1, t: 7}?
7/78
Calculate prob of picking 2 c when two letters picked without replacement from cqcq.
1/6
Calculate prob of picking 1 i and 2 z when three letters picked without replacement from zjziizfiiiiiifzii.
3/34
What is prob of picking 2 w when two letters picked without replacement from wiwwwiiwwwwwwww?
22/35
What is prob of picking 1 k, 2 r, and 1 v when four letters picked without replacement from {r: 2, v: 2, k: 1, c: 1}?
2/15
Two letters picked without replacement from nfnntntnfnnnffnn. What is prob of picking 1 n and 1 f?
1/3
What is prob of picking 3 f when three letters picked without replacement from {k: 6, f: 6}?
1/11
What is prob of picking 2 e and 1 j when three letters picked without replacement from {i: 2, j: 5, e: 12}?
110/323
Three letters picked without replacement from yeemmmmmeme. What is prob of picking 3 e?
4/165
What is prob of picking 4 g when four letters picked without replacement from ggggggggggygggg?
11/15
What is prob of picking 1 k, 1 t, and 2 w when four letters picked without replacement from ttwtwwtwwwkwww?
144/1001
Two letters picked without replacement from kkkkkkknkkkkkkkkkkkk. Give prob of picking 1 k and 1 n.
1/10
Two letters picked without replacement from xhxxxooxlxxh. What is prob of picking 2 h?
1/66
Two letters picked without replacement from bbjdjkdbkdjdkdbkbjkk. Give prob of picking 2 k.
3/38
Four letters picked without replacement from eeebebeeeebeebbbee. Give prob of picking 2 b and 2 e.
11/34
Three letters picked without replacement from qqvpvc. What is prob of picking 1 v, 1 q, and 1 c?
1/5
What is prob of picking 1 o and 1 s when two letters picked without replacement from {y: 1, b: 1, h: 2, j: 1, o: 1, s: 1}?
1/21
Four letters picked without replacement from {d: 4, e: 8, y: 5, o: 2}. What is prob of picking 2 o and 2 y?
5/1938
Calculate prob of picking 2 w when two letters picked without replacement from vvvwvzw.
1/21
Calculate prob of picking 2 g when two letters picked without replacement from gggjtdgggdjjjd.
15/91
Three letters picked without replacement from {n: 7, y: 6}. Give prob of picking 3 y.
10/143
Two letters picked without replacement from cvuvvvivvcuvuvuucvu. Give prob of picking 2 v.
4/19
Two letters picked without replacement from {j: 4, p: 5, g: 1}. What is prob of picking 1 g and 1 j?
4/45
Two letters picked without replacement from {p: 1, k: 2, r: 2, j: 1}. What is prob of picking 1 r and 1 p?
2/15
Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {q: 3, v: 4, j: 1, t: 3, a: 3, d: 1}.
4/105
Two letters picked without replacement from {z: 1, q: 1, g: 1}. What is prob of picking 1 q and 1 z?
1/3
What is prob of picking 1 v and 3 y when four letters picked without replacement from nnnyvynvnnvnnnvy?
1/455
Calculate prob of picking 1 r and 3 s when four letters picked without replacement from sssrsssssrrwssrsswr.
275/969
Three letters picked without replacement from mmmlh. Give prob of picking 1 l, 1 h, and 1 m.
3/10
What is prob of picking 3 x and 1 s when four letters picked without replacement from mxgxxmgsgxxgxsgomgx?
35/1938
Three letters picked without replacement from {q: 3, a: 5}. What is prob of picking 1 a and 2 q?
15/56
Three letters picked without replacement from ffuvfvvvfvhffqvhfq. Give prob of picking 1 f, 1 q, and 1 h.
7/204
Calculate prob of picking 1 p, 2 t, and 1 i when four letters picked without replacement from ttitttpiiipipttt.
3/13
Two letters picked without replacement from zvzvvvzvzvzvz. What is prob of picking 2 z?
5/26
Three letters picked without replacement from gzxxggxxzxzg. Give prob of picking 2 z and 1 x.
3/44
What is prob of picking 2 f and 1 c when three letters picked without replacement from qpqqppqffqbfqc?
3/364
What is prob of picking 3 n when three letters picked without replacement from {l: 4, z: 1, n: 8}?
28/143
Two letters picked without replacement from {i: 5, c: 3, t: 1}. Give prob of picking 2 i.
5/18
What is prob of picking 1 c, 1 e, and 1 m when three letters picked without replacement from {q: 1, j: 2, e: 1, f: 1, m: 1, c: 1}?
1/35
Three letters picked without replacement from {u: 6, w: 4, m: 1, k: 3, y: 2, j: 4}. Give prob of picking 1 k, 1 y, and 1 m.
1/190
Three letters picked without replacement from {z: 1, m: 4, q: 4, s: 6}. What is prob of picking 1 s, 1 m, and 1 z?
24/455
Four letters picked without replacement from mlfkkmmlllfz. What is prob of picking 1 z, 2 k, and 1 f?
2/495
What is prob of picking 2 f when two letters picked without replacement from fcfccfff?
5/14
What is prob of picking 1 k and 1 g when two letters picked without replacement from {g: 6, k: 10, p: 1}?
15/34
Three letters picked without replacement from {q: 1, z: 1, t: 4, n: 3, p: 7}. Give prob of picking 2 p and 1 t.
3/20
Two letters picked without replacement from {s: 4, q: 1, n: 2}. Give prob of picking 2 s.
2/7
Calculate prob of picking 1 y and 1 f when two letters picked without replacement from fofooyooofoyoooffof.
4/57
Calculate prob of picking 2 e when two letters picked without replacement from {m: 2, k: 4, e: 4}.
2/15
Calculate prob of picking 2 g when two letters picked without replacement from {c: 2, y: 1, l: 2, j: 5, s: 2, g: 5}.
5/68
Calculate pr
|
{
"pile_set_name": "DM Mathematics"
}
|
52
Divide -400 by 80.
-5
What is -4 divided by -256?
1/64
Divide -14241 by -101.
141
Divide 10625 by 625.
17
What is -54 divided by -6?
9
-7999 divided by 6
-7999/6
Divide -3353 by -3353.
1
Calculate 250 divided by -25.
-10
Divide -4 by -55.
4/55
Divide -1190 by -5.
238
867 divided by 13
867/13
What is -10 divided by 37?
-10/37
What is -4 divided by 872?
-1/218
Divide 2 by 267.
2/267
Divide 796 by 1.
796
What is 5465 divided by -5?
-1093
Divide 29556 by 2463.
12
Divide 8888 by 1111.
8
0 divided by -226
0
Calculate -332 divided by -5.
332/5
-1436 divided by -4
359
Divide -5 by -15.
1/3
What is 4 divided by 203?
4/203
Calculate 78 divided by -61.
-78/61
What is -1089 divided by -2?
1089/2
-59 divided by 4
-59/4
Calculate 990 divided by -3.
-330
Calculate 1022 divided by 7.
146
Calculate -1196 divided by -2.
598
What is 324 divided by -5?
-324/5
Divide -2197 by -13.
169
What is -19 divided by 215?
-19/215
Divide -25704 by 8568.
-3
-1225 divided by -175
7
3328 divided by -64
-52
-4 divided by 254
-2/127
Divide 24 by -12.
-2
Calculate -76 divided by -38.
2
Divide -6 by -19.
6/19
What is -98 divided by -5?
98/5
Divide -178 by 89.
-2
Divide -12299 by -49.
251
Calculate 0 divided by -522.
0
Divide 316 by 2.
158
What is -258 divided by -1?
258
Divide -20510 by 14.
-1465
Calculate -620 divided by -4.
155
Divide -1092 by -6.
182
Calculate -195 divided by -3.
65
167 divided by 3
167/3
1376 divided by -8
-172
-3684 divided by 2
-1842
What is 1815 divided by 55?
33
Divide -8820 by 7.
-1260
Calculate -11 divided by 11.
-1
Divide -2 by 1.
-2
What is -216 divided by 3?
-72
Divide -6 by 2261.
-6/2261
What is -44 divided by -3?
44/3
Calculate 27 divided by -189.
-1/7
What is 4 divided by -480?
-1/120
2596 divided by -2
-1298
-748 divided by 3
-748/3
Calculate -5148 divided by -6.
858
Divide 2204 by 29.
76
Divide 1 by -62.
-1/62
Calculate -25 divided by -348.
25/348
Divide -7147 by 4.
-7147/4
What is 3 divided by -65?
-3/65
What is 145 divided by 29?
5
What is -25 divided by 32?
-25/32
What is -3 divided by 74?
-3/74
Divide 1173 by 17.
69
Calculate 338 divided by -26.
-13
Calculate -4 divided by 371.
-4/371
Calculate -355 divided by -4.
355/4
Divide 1 by 766.
1/766
Divide 0 by -14.
0
Calculate 213 divided by -2.
-213/2
Divide 476 by -28.
-17
Divide -162 by -3.
54
Divide -15 by -249.
5/83
147 divided by -7
-21
Divide 0 by -1303.
0
What is 1104 divided by 2?
552
Calculate -17372 divided by 202.
-86
Calculate -35 divided by 7.
-5
Divide 9 by 1174.
9/1174
Calculate -9 divided by 7.
-9/7
Calculate -361 divided by 6.
-361/6
Calculate -900 divided by -18.
50
-22 divided by -98
11/49
28 divided by 400
7/100
9635 divided by 5
1927
Divide -666 by -2.
333
Calculate -1463 divided by -2.
1463/2
656 divided by -41
-16
What is -4 divided by -139?
4/139
Divide -6446 by 3223.
-2
Calculate 111 divided by 5.
111/5
What is -2 divided by -10?
1/5
780 divided by 60
13
Divide -10 by -1.
10
What is -11 divided by -332?
11/332
-190 divided by -10
19
What is -8940 divided by -6?
1490
What is -6 divided by -34?
3/17
Divide -3 by 2981.
-3/2981
-1310 divided by -262
5
Divide 155 by -59.
-155/59
What is -3 divided by 68?
-3/68
-504 divided by -5
504/5
What is -33930 divided by 13?
-2610
What is 3096 divided by 24?
129
Calculate 10 divided by -207.
-10/207
Divide 4 by 4223.
4/4223
Divide 25 by -2.
-25/2
What is -9 divided by -169?
9/169
Calculate 1268 divided by -317.
-4
What is 78 divided by 13?
6
0 divided by 36
0
-2700 divided by -150
18
Calculate -57316 divided by -2.
28658
Calculate 75 divided by 139.
75/139
210 divided by -5
-42
-18 divided by 79
-18/79
Calculate 3 divided by 17.
3/17
-640 divided by 7
-640/7
-3 divided by -943
3/943
19 divided by -8
-19/8
-1 divided by -183
1/183
What is -1444 divided by -4?
361
140 divided by -28
-5
-82 divided by -32
41/16
76 divided by 19
4
What is -1118 divided by 3?
-1118/3
What is -27 divided by 6?
-9/2
What is -17 divided by 43?
-17/43
-5460 divided by 6
-910
What is 115 divided by 3?
115/3
What is 5 divided by -31?
-5/31
What is 13 divided by 29?
13/29
What is -3 divided by 2?
-3/2
Calculate 322 divided by -7.
-46
Divide 3427 by 149.
23
39630 divided by 5
7926
What is 26559 divided by -8853?
-3
What is 5 divided by -66?
-5/66
What is -72 divided by -36?
2
Calculate 6077 divided by -6.
-6077/6
17592 divided by 6
2932
Divide -222 by 3.
-74
Divide 18 by 330.
3/55
What is 30 divided by 280?
3/28
Calculate 3768 divided by -3.
-1256
-1285 divided by 5
-257
Divide -13 by 751.
-13/751
2829 divided by 6
943/2
Divide 2066 by 2.
1033
-38 divided by -2
19
What is -1181 divided by 1?
-1181
-2700 divided by 3
-900
Divide 4088 by 5.
4088/5
What is -519 divided by 3?
-173
Calculate -91 divided by 4.
-91/4
Calculate 16 divided by 2.
8
Divide 71 by -2.
-71/2
10 divided by -131
-10/131
Calculate 6 divided by -943.
-6/943
Calculate -19860 divided by -2.
9930
Calculate 3011 divided by 5.
3011/5
Divide -5484 by 4.
-1371
-9 divided by -5
9/5
-749 divided by -749
1
Divide 16 by -444.
-4/111
What is -40 divided by 3?
-40/3
13 divided by -19
-13/19
-3 divided by 587
-3/587
What is 4 divided by -80?
-1/20
Divide 4527 by -6.
-1509/2
What is -7 divided by -15?
7/15
What is 64 divided by 16?
4
54 divided by -65
-54/65
Calculate -784 divided by 28.
-28
Divide -172 by -4.
43
Divide 828 by 828.
1
What is -216 divided by -18?
12
4249 divided by -1
-4249
15320 divided by -4
-3830
What is -1688 divided by 4?
-422
Divide -123 by -123.
1
3 divided by -149
-3/149
What is 0 divided by 43?
0
What is -295 divided by -59?
5
What is -12 divided by 31?
-12/31
Divide -10 by -76.
5/38
Divide 39 by -3.
-13
Divide -216 by 8.
-27
Divide -4730 by 2.
-2365
Divide 5 by 272.
5/272
Divide 904 by -113.
-8
Calculate -222 divided by 1.
-222
36 divided by 18
2
What is 1 divided by -172?
-1/172
Calculate -37 divided by -2.
37/2
-4715 divided by -23
205
What is -14 divided by 2382?
-7/1191
-37 divided by 16
-37/16
What is 2 divided by 3123?
2/3123
Calculate 2908 divided by -2.
-1454
Divide -1751 by -17.
103
Calculate 14292 divided by 6.
2382
Divide -50 by 3.
-50/3
Calculate -2 divided by 334.
-1/167
-6416 divided by 5
-6416/5
-56 divided by 2
-28
What is -83 divided by -26?
83/26
-106 divided by -2
53
What is 6337 divided by 4?
6337/4
What is 12052 divided by -4?
-3013
Divide -28 by -24.
7/6
Divide -5040 by 168.
-30
Calculate -595 divided by 7.
-85
Calculate -1240 divided by 8.
-155
-15376 divided by -4
3844
-416 divided by 26
-16
What is 10410 divided by -2?
-5205
What is 3308 divided by 4?
827
2331 divided by -111
-21
What is -686 divided by -98?
7
Calculate 590 divided by -6.
-295/3
Calculate 630 divided by 6.
105
Divide -306 by 306.
-1
Divide 1631 by 233.
7
What is -1891 divided by -8?
1891/8
What is 77 divided by 7?
11
Divide -1180 by -590.
2
Calculate -91775 divided by -5.
18355
-153 divided by 3
-51
-5 divided by 1431
-5/1431
Divide -394 by 2.
-197
What is -5 divided by 2714?
-5/2714
Calculate -3050 divided by 1525.
-2
Calculate -1044 divided by -4.
261
Divide -4038 by 673.
-6
Divide -1 by -433.
1/433
Calculate -597 divided by 4.
-597/4
What is -2072 divided by 7?
-296
Divide -2 by -565.
2/565
What is 1344 divided by 2?
672
Divide -120 by -40.
3
What is 2 divided by -229?
-2/229
What is 11256 divided by 469?
24
What is 144 divided by -72?
-2
Divide 11480 by 1.
11480
What is 474 divided by 3?
158
2 divided by 51
2/51
Calculate -8 divided by 197.
-8/197
What is 8 divided by -8?
-1
Divide -324 by -6.
54
Divide 24141 by -8047.
-3
What is 5365 divided by -1?
-5365
What is -449 divided by 449?
-1
What is -3944 divided by 986?
-4
Calculate 96 divided by 48.
2
Calculate -107 divided by 2.
-107/2
-5 divided by -3906
5/3906
Divide 14790 by -1.
-14790
Divide 12 by 90.
2/15
-1938 divided by 57
-34
57 divided by -1
-57
Calculate 18 divided by -2.
-9
Calculate -1416 divided by -8.
177
20684 divided by 4
5171
What is -2576 divided by -2?
1288
What is 522 divided by -3?
-174
What is -76 divided by -4?
19
What is -9 divided by 35?
-9/35
Divide 45 by 21.
15/7
303 divided by -12
-101/4
Divide -4 by -175.
4/175
Calculate -5652 divided by 1884.
-3
2 divided by 67
2/67
Calculate -259 divided by 37.
-7
Calculate 3048 divided by 3.
1016
What is -467 divided by -3?
467/3
-8188 divided by -4
2047
Calculate 3 divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -2*m = 4*j - 40, m = -4*j - 4*m + 52. Calculate the remainder when n is divided by j.
5
Let o be (-24)/40 - (-18)/5. Suppose -j + 3*j + 2*f = 78, 122 = o*j + 2*f. Calculate the remainder when j is divided by 16.
12
Let a(h) = -2*h + 70. Let f be a(0). Let d = -40 + f. What is the remainder when 58 is divided by d?
28
Let k(v) = -v + 2. Let w be k(2). Let r(j) = -j**3 + j**2 + j + 444. Let m be r(w). What is the remainder when m/18 + 1/3 is divided by 7?
4
Let v(w) = 2*w**2 + 7*w - 20. Calculate the remainder when v(6) is divided by -60*-3*4/30.
22
Suppose 110*t - 105*t - 10 = 0. Suppose 0 = -4*y + t*w + 96 - 14, -3*y = 4*w - 67. Let u = 71 - 31. Calculate the remainder when u is divided by y.
19
Suppose 0 = 11*f - 3*f - 144. What is the remainder when 32 is divided by f?
14
Suppose -4*m + 5*z = -121, z = m - z - 31. Suppose -6*g = 5 - m. Calculate the remainder when g is divided by 4.
0
Calculate the remainder when 2*1*12/3 is divided by (0 - 8/(-18))/(14/63).
0
Suppose 788 = 7*b - 339. What is the remainder when b is divided by 156?
5
Suppose -10*s - 226 = -606. Calculate the remainder when 72 is divided by s.
34
Suppose 0 = 8*h - 6*h - 4. Suppose 0 = -4*q - 5*g - 16, 5*q + 11 = h*g - 6*g. What is the remainder when 1 is divided by q?
0
Calculate the remainder when 5 - (-190)/6*3 is divided by 8.
4
Suppose 3*r = -f + 6*r + 14, 4*r = 4. Calculate the remainder when 55 is divided by f.
4
Suppose 10*w = 2285 - 545. Calculate the remainder when w is divided by 25.
24
Suppose 32*l - 120 = 1288. What is the remainder when l is divided by 23?
21
Suppose 305*f = 318*f - 1157. What is the remainder when f is divided by 33?
23
Let g = 5 + 20. Calculate the remainder when (-3441)/124*8/(-3) is divided by g.
24
Let t(x) be the third derivative of -x**6/120 + x**5/12 + x**4/3 + 5*x**3/6 - x**2. Calculate the remainder when 48 is divided by t(6).
14
Let r be -4 + 5 + 0 - 0 - 9. Let l be (-2)/3*1*33. What is the remainder when 38 is divided by (l/r - 0)*4?
5
Let c be (-2)/8 + 38/(-8). Let g = c - -35. Suppose 3*z + v - 8 = g, -v - 58 = -5*z. What is the remainder when 33 is divided by z?
9
Suppose 3*k + 113 = 749. Calculate the remainder when k is divided by 54.
50
Suppose -o - 2*o - 1605 = -3*s, -4*s = 3*o - 2112. Calculate the remainder when s is divided by 19.
18
Let u = 4052 + -4026. What is the remainder when u is divided by (-4)/10 - (-204)/10?
6
Let t = 142 + -110. What is the remainder when t is divided by 12?
8
Let p(h) be the third derivative of h**5/30 + 3*h**4/8 - 3*h**3 + 13*h**2. What is the remainder when p(5) is divided by 13?
12
Let m = -8 - -15. Let j(b) = b**3 + 16*b**2 + 27*b - 11. Calculate the remainder when m is divided by j(-14).
1
Let j(s) = -15*s**3 - 4*s**2 - s - 22. What is the remainder when j(-4) is divided by 22?
20
Let l(k) = 2*k**3 - k**2 - 6*k - 10. Calculate the remainder when 67 is divided by l(3).
16
Let t(n) = n + 1. Let y(i) = 51*i - 3. Let k(c) = -4*t(c) + y(c). What is the remainder when k(3) is divided by (-2)/(-3 + 5) - -35?
32
Let s = -2807 - -2827. Calculate the remainder when 173 is divided by s.
13
Suppose -2*u = 4*y - 124, -u + 2*y - 43 = -125. Suppose 28 = 4*j - u. What is the remainder when j is divided by ((-2)/(-4))/((-4)/(-72))?
7
Let b = 134 + -125. Calculate the remainder when b is divided by 5.
4
Let i = -79 - -188. What is the remainder when i is divided by 24?
13
What is the remainder when 2/(-7) + 933/7 is divided by ((-768)/896)/(4/(-126))?
25
Suppose -3*v - 154 = -5*t, 44*t - 41*t - 3*v = 96. Calculate the remainder when 288 is divided by t.
27
Let i(r) = r**2 + 13*r + 47. Calculate the remainder when 222 is divided by i(-11).
22
What is the remainder when 151 is divided by (-8)/28 + 20*(-25)/(-35)?
11
Let l be ((-15)/25)/((-1)/5). Suppose 3*g + p - 3*p = 21, l*g + 5*p - 42 = 0. Calculate the remainder when 24 is divided by g.
6
What is the remainder when ((-11178)/115)/(2/(-5)) is divided by 89?
65
Let w = 34 + -24. Let o = w + 3. Let i(h) = -h**3 + 6*h**2 + h + 1. Calculate the remainder when o is divided by i(6).
6
Let c(o) = 5*o**2 - 68*o - 14. Calculate the remainder when 1173 is divided by c(14).
11
Let d(f) = f. Let p be d(3). Let g = p - 1. Suppose 0 = -g*z + 3 + 19. Calculate the remainder when 31 is divided by z.
9
Let i(f) = f**3 + 20*f**2 + 18*f - 16. Suppose -3*z - 67 = 4*a, -z + 3*z - 6 = 0. Suppose m - 44 = -3*m. What is the remainder when m is divided by i(a)?
2
Suppose 3*t + l - 21 = 10, -3*t + 26 = 2*l. Let c(n) = -6*n - 17 - 6*n + 12*n**2 + n**3 + 0*n**3 - 5*n. Calculate the remainder when c(-13) is divided by t.
11
Let s = -346 + 388. What is the remainder when 209 is divided by s?
41
Suppose 2*z - 92 = -3*s, s - 7 = 4*z + 19. Suppose -5*f - 4*j + 63 = -s, -3*j = f - 23. Suppose -4*v = -0*v - 36. What is the remainder when f is divided by v?
8
Let c(p) = 34*p - 7. Let f be c(-2). Let y = 139 - f. What is the remainder when y is divided by 31?
28
Let d(a) = -4*a + 241. Calculate the remainder when d(16) is divided by 27.
15
Suppose -4*s - 3*j + 67 = 0, -5*j - 7 = 2*s - 30. What is the remainder when s is divided by 8?
3
Let j be 496 - (1 + 0 + -1)*1. What is the remainder when 92 is divided by (j/48)/(2/6)?
30
Let j = 46 - 23. Let p = 730 + -724. What is the remainder when j is divided by p?
5
Suppose -75*m = -90*m + 3060. Calculate the remainder when m is divided by 54.
42
Let t(g) = 11*g**2 + g. What is the remainder when t(1) is divided by 8?
4
Suppose -d = 2*d - 126. Suppose 3*n - 3*a = 2*n + 35, -a + 166 = 4*n. Suppose -3*f = 8 - n. What is the remainder when d is divided by f?
9
Let h(i) = -4*i**2 - 49*i. What is the remainder when 62 is divided by h(-12)?
2
Suppose 0 = -5*w - 0*w + 20. Suppose 0*f + 2*f - u = 56, -w*f + 4*u + 112 = 0. What is the remainder when 108 is divided by f?
24
Suppose -11*c + 1561 = -4*c. Suppose w + 37 = 5*l - c, 5*w = -2*l + 104. Suppose -3*z = -z - l. What is the remainder when 101 is divided by z?
23
Let w(x) = x**3 + 12*x**2 + 5*x - 20. Let p(z) = 2*z**3 + 24*z**2 + 11*z - 41. Let i(h) = 4*p(h) - 9*w(h). Calculate the remainder when i(-12) is divided by 15.
13
Calculate the remainder when (31/1)/(2/8) is divided by 119.
5
Calculate the remainder when 87 is divided by (62/14 - 3)*7.
7
Let x = -127 - -130. Suppose 3*c = -5*g + 49, 0 = -x*g + 3*c + 26 + 13. What is the remainder when 2/4*(1 + 81) is divided by g?
8
Suppose 3*o - 4*s = 20 + 13, s = o - 10. Calculate the remainder when 180 is divided by o.
5
Let b be -5 + 3 - (-200)/(-2). Let r be b/(-18) + (-2)/3. What is the remainder when r/10 - 181/(-2) is divided by 23?
22
Let k(n) = -2*n**3 - 17*n**2 - 33*n + 16. What is the remainder when k(-7) is divided by 63?
37
Let m(l) = -l**2 + 17*l - 14. Let k be (-5 + 2 + -12)*-15. Suppose -4*u = -6*n + 5*n - 441, 2*u = 5*n + k. Calculate the remainder when u is divided by m(14).
26
Suppose 0 = -2*a - 4*z + 182, 4*a - 583 + 159 = 4*z. What is the remainder when a is divided by 21?
17
Suppose 18 = 13*t - 7*t. Calculate the remainder when 5 is divided by t.
2
Let y(d) = 16*d - 298. What is the remainder when 59 is divided by y(19)?
5
Suppose 3*t = 6*t - 189. Let m = -54 - -70. Calculate the remainder when t is divided by m.
15
Let q(x) = x**3 + 15*x**2 + 15*x + 17. Let l be q(-14). Let f(c) = 4*c**3 - 4*c**2 + c - 1. What is the remainder when f(l) is divided by 15?
14
Calculate the remainder when 728 is divided by 28/3 + (-112)/(-42).
8
Let p(h) be the first derivative of -3 - 13/2*h**2 - h. What is the remainder when 21 is divided by p(-1)?
9
Let v(f) = -7*f - f + 3*f**3 - 5 - 2*f**3 + 7*f**2 + 0. What is the remainder when v(-5) is divided by (-2)/(2 - (-92)/(-44))?
19
Suppose 8*z - 11*z + 4*w + 264 = 0, -377 = -4*z - 3*w. What is the remainder when z is divided by 24?
20
Let i be 6 - (-3 - (-3 - 4)). Suppose 2*h - 190 = -i*g - 38, h = -4*g + 295. Calculate the remainder when g is divided by 19.
16
Suppose 136*t - 84 = 130*t. Let y = -89 - -186. What is the remainder when y is divided by t?
13
Let p(c) = 11*c**2 + 17*c + 27. Calculate the remainder when p(-4) is divided by 47.
41
Let m = -1636 + 2227. What is the remainder when m is divided by 23?
16
Suppose -2*s = -s - 3. Suppose -c = q - s, 4*c - 3*q = 3*c - 9. Suppose c = -a - 0*a +
|
{
"pile_set_name": "DM Mathematics"
}
|
acement from {b: 1, z: 9, t: 5, i: 5}. What is prob of sequence bii?
1/342
Two letters picked without replacement from dmdddmdddm. What is prob of sequence md?
7/30
Calculate prob of sequence xz when two letters picked without replacement from {z: 6, x: 12}.
4/17
What is prob of sequence nw when two letters picked without replacement from {j: 5, k: 2, w: 3, n: 2}?
1/22
What is prob of sequence jffj when four letters picked without replacement from {f: 10, j: 9}?
45/646
Calculate prob of sequence ll when two letters picked without replacement from {v: 4, i: 1, g: 1, b: 2, l: 3}.
3/55
Calculate prob of sequence sn when two letters picked without replacement from gnnnnnnnnnsnglnllnsn.
13/190
Calculate prob of sequence mtj when three letters picked without replacement from jmjtptjjmtjjjjpj.
9/560
Two letters picked without replacement from xxxzxxzxxxxxzxxzzzx. What is prob of sequence zz?
5/57
Four letters picked without replacement from ofoffyfoffffof. Give prob of sequence yffo.
12/1001
What is prob of sequence vv when two letters picked without replacement from vavs?
1/6
Calculate prob of sequence st when two letters picked without replacement from vnsvntzw.
1/56
Two letters picked without replacement from sswsswwwwswwwwwwwwww. Give prob of sequence ws.
15/76
What is prob of sequence wv when two letters picked without replacement from tvwiititviittatii?
1/136
Calculate prob of sequence cn when two letters picked without replacement from tcctccnccccnccccnccc.
9/76
What is prob of sequence xgwg when four letters picked without replacement from jjwggcggcx?
1/420
Two letters picked without replacement from {p: 2, d: 1, q: 1}. What is prob of sequence pq?
1/6
What is prob of sequence acqa when four letters picked without replacement from qaqqqqcaqcqqqqqcaqq?
13/5168
Two letters picked without replacement from rrrmmm. Give prob of sequence mr.
3/10
What is prob of sequence pia when three letters picked without replacement from aqapipqqiipapa?
2/91
Four letters picked without replacement from {j: 1, u: 4, y: 2}. What is prob of sequence jyuy?
1/105
Two letters picked without replacement from bbbebebbbebeebbb. Give prob of sequence bb.
11/24
Calculate prob of sequence fta when three letters picked without replacement from {a: 4, r: 1, f: 2, t: 4}.
16/495
Two letters picked without replacement from irraaaaaaapiaaiiraa. Give prob of sequence ra.
11/114
Two letters picked without replacement from ehuhuhhhz. What is prob of sequence uh?
5/36
Calculate prob of sequence uuff when four letters picked without replacement from fuuffff.
1/21
What is prob of sequence uuc when three letters picked without replacement from ucccuuccuuucu?
21/143
What is prob of sequence tg when two letters picked without replacement from httgthtatathth?
1/26
What is prob of sequence rr when two letters picked without replacement from {r: 7, n: 1}?
3/4
Three letters picked without replacement from yppp. Give prob of sequence ppy.
1/4
What is prob of sequence eece when four letters picked without replacement from {c: 2, e: 5}?
1/7
Two letters picked without replacement from jjtcltt. What is prob of sequence lj?
1/21
Three letters picked without replacement from {i: 3, t: 2, s: 4, j: 2, c: 2}. What is prob of sequence ssj?
2/143
Three letters picked without replacement from wuemuhuwmwuwwcwu. Give prob of sequence cww.
1/112
Calculate prob of sequence jz when two letters picked without replacement from aizjgjiaaij.
3/110
Calculate prob of sequence pv when two letters picked without replacement from vpvvvvvvpvvvvvpv.
13/80
Two letters picked without replacement from demedmaam. What is prob of sequence em?
1/12
Two letters picked without replacement from {t: 10, s: 2}. Give prob of sequence ss.
1/66
What is prob of sequence lkpl when four letters picked without replacement from lkpplppkppplppps?
1/364
What is prob of sequence sn when two letters picked without replacement from {s: 2, y: 1, n: 1, p: 1}?
1/10
Three letters picked without replacement from {f: 3, s: 4, j: 4}. Give prob of sequence jff.
4/165
Three letters picked without replacement from {k: 4, w: 4, v: 1, g: 3, m: 1}. What is prob of sequence vwg?
1/143
Four letters picked without replacement from {y: 2, i: 1, p: 1, c: 1, j: 2, l: 2}. What is prob of sequence plil?
1/1512
What is prob of sequence ettt when four letters picked without replacement from {e: 4, g: 4, t: 4, v: 2}?
4/1001
Two letters picked without replacement from hihhzshih. Give prob of sequence si.
1/36
Two letters picked without replacement from onfbbku. What is prob of sequence ku?
1/42
Two letters picked without replacement from hevmliel. Give prob of sequence vm.
1/56
Two letters picked without replacement from gzzgggzzzzzzgzzggzgg. What is prob of sequence zg?
99/380
Three letters picked without replacement from aaaaaaaann. What is prob of sequence ana?
7/45
Two letters picked without replacement from {v: 1, l: 1, e: 1, f: 1, q: 1}. What is prob of sequence lv?
1/20
Two letters picked without replacement from {s: 2, u: 1}. What is prob of sequence ss?
1/3
Four letters picked without replacement from ffffzfzzfz. Give prob of sequence zzfz.
1/35
Three letters picked without replacement from vnrym. Give prob of sequence vmy.
1/60
Two letters picked without replacement from zzeezzzbuuzzuzzzbzzu. What is prob of sequence eb?
1/95
Calculate prob of sequence zl when two letters picked without replacement from {z: 1, l: 1, s: 1}.
1/6
Three letters picked without replacement from phxppwvxwvyv. What is prob of sequence pvh?
3/440
Calculate prob of sequence ccc when three letters picked without replacement from cxcxxxcxxxccccxxxxx.
35/969
Two letters picked without replacement from {i: 2, c: 5, l: 3}. What is prob of sequence lc?
1/6
Four letters picked without replacement from hzycczeqy. Give prob of sequence ezyq.
1/756
Calculate prob of sequence uyn when three letters picked without replacement from {n: 2, y: 1, u: 1}.
1/12
Two letters picked without replacement from nhntnnbhht. What is prob of sequence th?
1/15
Three letters picked without replacement from {h: 3, j: 6, c: 2, q: 1, m: 3}. Give prob of sequence qch.
1/455
What is prob of sequence voov when four letters picked without replacement from {v: 2, o: 3}?
1/10
Calculate prob of sequence sz when two letters picked without replacement from {s: 1, b: 7, z: 11}.
11/342
Calculate prob of sequence drr when three letters picked without replacement from vmredddvddmvmrredr.
1/68
Calculate prob of sequence nrnh when four letters picked without replacement from {n: 3, r: 4, h: 2}.
1/63
What is prob of sequence chhh when four letters picked without replacement from hdccph?
0
Calculate prob of sequence ny when two letters picked without replacement from yoewoyyoyyyeowwnw.
3/136
Four letters picked without replacement from nxxqnqnxnnnxnnnn. Give prob of sequence qxnq.
1/546
Three letters picked without replacement from yvxuyuuylxxlwyl. Give prob of sequence wvl.
1/910
What is prob of sequence sq when two letters picked without replacement from qcsaqassqccaacsswa?
5/102
Four letters picked without replacement from {e: 7, k: 5, i: 3, b: 2, s: 2, f: 1}. What is prob of sequence iksi?
1/1938
Two letters picked without replacement from bqekqmkz. Give prob of sequence mk.
1/28
What is prob of sequence ffvm when four letters picked without replacement from {h: 1, v: 2, m: 1, g: 2, f: 2}?
1/420
Four letters picked without replacement from {h: 1, w: 7, o: 2, v: 1, g: 2, p: 1}. Give prob of sequence vohp.
1/12012
Calculate prob of sequence aa when two letters picked without replacement from {j: 4, a: 7, d: 5}.
7/40
Calculate prob of sequence hpph when four letters picked without replacement from pphppipppphhphphp.
55/1428
Four letters picked without replacement from {o: 3, m: 4, a: 3, u: 2, b: 4}. What is prob of sequence muao?
3/1820
Two letters picked without replacement from ttttioi. What is prob of sequence tt?
2/7
What is prob of sequence dn when two letters picked without replacement from dudpuddnpp?
2/45
What is prob of sequence di when two letters picked without replacement from idxddxiixii?
3/22
What is prob of sequence ban when three letters picked without replacement from balobllanolnooblb?
1/255
Calculate prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
se
Is 12966186757 composite?
False
Is 10550699 composite?
False
Is 17930997323 a prime number?
True
Is 87296603 a prime number?
False
Is 5253642737 a composite number?
True
Is 5564094409 a composite number?
True
Is 68960985187 prime?
False
Is 2135890147 a prime number?
False
Is 1059870353 a composite number?
False
Is 84517926299 prime?
True
Is 34305091547 prime?
False
Is 619487257 composite?
False
Is 5180499959 a composite number?
False
Is 12113335747 prime?
False
Is 1834665801 composite?
True
Is 56646061 composite?
True
Is 138754633981 prime?
False
Is 4714535461 composite?
False
Is 7711101079 a prime number?
False
Is 5793269998 a prime number?
False
Is 5013844169 prime?
True
Is 140473937 prime?
True
Is 645014069 a composite number?
True
Is 49109240837 a composite number?
True
Is 3942647417 a composite number?
False
Is 7475257759 prime?
False
Is 65402247419 prime?
False
Is 4057662451 a composite number?
True
Is 2461399963 prime?
False
Is 200241583513 a prime number?
True
Is 1793256851 a composite number?
True
Is 1094968262 composite?
True
Is 39071160757 prime?
True
Is 19748464387 composite?
False
Is 23098354091 prime?
False
Is 27792674527 prime?
False
Is 7870491661 a composite number?
True
Is 520452931 composite?
True
Is 13247660215 prime?
False
Is 10073576867 prime?
False
Is 3781085459 prime?
True
Is 5166091637 a prime number?
False
Is 205114482467 composite?
False
Is 49371593723 prime?
True
Is 701940499 prime?
False
Is 8182114483 composite?
False
Is 311281811 prime?
False
Is 19759185857 a composite number?
False
Is 338000777 composite?
False
Is 27076553747 a composite number?
False
Is 188793610799 a composite number?
False
Is 8937414835 composite?
True
Is 3107279191 prime?
False
Is 351802603 a prime number?
True
Is 122455016213 a prime number?
False
Is 5852486911 a prime number?
True
Is 68445586141 prime?
True
Is 97903633 a prime number?
True
Is 2924936774 prime?
False
Is 409253959 a prime number?
True
Is 351384035 composite?
True
Is 643853289 a prime number?
False
Is 7237558547 composite?
True
Is 9611233637 prime?
True
Is 274000841 composite?
True
Is 14469469159 a composite number?
True
Is 744619279 a prime number?
True
Is 2910699749 composite?
True
Is 1407802211 a composite number?
False
Is 61923978811 composite?
False
Is 78977080955 a prime number?
False
Is 6171010799 composite?
False
Is 485226197 composite?
True
Is 2349306371 prime?
True
Is 109684451 composite?
False
Is 4452878839 prime?
True
Is 5916390001 a prime number?
True
Is 18435180653 a prime number?
True
Is 9673763713 prime?
True
Is 94388377 prime?
False
Is 9311004589 composite?
True
Is 1954076083 a composite number?
True
Is 349680539 a composite number?
True
Is 304547158 a prime number?
False
Is 13117474147 a prime number?
False
Is 1916605687 prime?
False
Is 13818834941 composite?
True
Is 68785255843 composite?
False
Is 6051296827 prime?
False
Is 1291764277 a prime number?
False
Is 385488553 a prime number?
True
Is 33375101801 composite?
False
Is 5790335743 prime?
True
Is 20018123513 a composite number?
True
Is 105768110881 a composite number?
False
Is 48773333443 a prime number?
False
Is 1370324867 a composite number?
False
Is 2712942983 a composite number?
False
Is 4821917197 composite?
True
Is 66631280923 composite?
True
Is 4134317641 a composite number?
False
Is 206644423 a prime number?
True
Is 38138647 composite?
False
Is 9292863479 composite?
True
Is 4506377747 prime?
True
Is 5509227109 a prime number?
True
Is 30880561 a composite number?
True
Is 2190157441 composite?
False
Is 4110889469 a prime number?
True
Is 54870387619 a prime number?
True
Is 618326563 prime?
False
Is 6438364589 a prime number?
False
Is 116312971046 prime?
False
Is 735779273 a prime number?
False
Is 569202839 composite?
False
Is 56484366767 prime?
True
Is 3533098531 composite?
False
Is 639119939 prime?
True
Is 88281245231 prime?
False
Is 89790507251 prime?
True
Is 3522460969 prime?
True
Is 3846513367 prime?
True
Is 483769813 prime?
True
Is 1855713913 prime?
True
Is 1357689637 a composite number?
False
Is 9415966855 prime?
False
Is 1258581013 prime?
True
Is 77172852143 prime?
True
Is 29092012351 prime?
False
Is 29614478111 composite?
False
Is 11130808309 prime?
False
Is 4858589287 prime?
False
Is 605111959 prime?
True
Is 3613587791 prime?
False
Is 98886693581 a composite number?
True
Is 203666891 a composite number?
False
Is 108729181007 a composite number?
False
Is 11019845143 a prime number?
False
Is 546863741 a prime number?
False
Is 9442445911 a prime number?
True
Is 552029659 prime?
True
Is 1369736233 prime?
False
Is 6051937233 a composite number?
True
Is 4727411197 a composite number?
False
Is 698887573 a prime number?
True
Is 62798291 a prime number?
True
Is 4267607 prime?
False
Is 30166605257 prime?
False
Is 3236515193 a prime number?
True
Is 616199443 prime?
False
Is 841177489 a composite number?
True
Is 65455371217 prime?
True
Is 3391190533 a composite number?
True
Is 16672308997 prime?
True
Is 8335677551 prime?
False
Is 84159113 a prime number?
False
Is 14607678523 prime?
False
Is 3654246013 a prime number?
False
Is 2162525713 a composite number?
True
Is 2979511523 prime?
False
Is 9317075147 prime?
True
Is 1558977811 composite?
False
Is 12864247009 prime?
False
Is 250849163 a composite number?
True
Is 10520920073 composite?
False
Is 2363252503 a composite number?
True
Is 115533846589 prime?
False
Is 1752157577 composite?
False
Is 4992322337 a prime number?
True
Is 11684025929 a composite number?
False
Is 2215075613 composite?
True
Is 3532523497 prime?
True
Is 633824137 a composite number?
False
Is 57722989321 composite?
False
Is 165036625031 a composite number?
True
Is 11234964109 a composite number?
False
Is 4740077729 prime?
True
Is 197304109 prime?
True
Is 526725097 composite?
True
Is 7542789 a prime number?
False
Is 78441533374 prime?
False
Is 466256837 a composite number?
True
Is 8218837283 a prime number?
True
Is 223061003609 a composite number?
False
Is 5102250763 a composite number?
False
Is 11362862999 a prime number?
False
Is 15533633 a composite number?
False
Is 893942791 composite?
True
Is 583342633 prime?
True
Is 9695031721 a prime number?
True
Is 1031839537 composite?
True
Is 4886870551 prime?
True
Is 18627790921 prime?
False
Is 137089332311 a prime number?
True
Is 1947685541 prime?
False
Is 8666584279 a prime number?
False
Is 8890348331 composite?
False
Is 124631711 composite?
True
Is 32643480151 a composite number?
False
Is 968862781 composite?
False
Is 7081663 a composite number?
False
Is 35664415711 composite?
False
Is 617143811 prime?
True
Is 162090893 composite?
True
Is 5693763161 a prime number?
True
Is 166773419 prime?
True
Is 137047956709 composite?
False
Is 244414991 prime?
True
Is 2293510279 a prime number?
True
Is 52705940921 a prime number?
False
Is 2916583309 prime?
False
Is 2614956431 prime?
True
Is 4426534067 a prime number?
True
Is 65041623329 a prime number?
False
Is 8190542779 a composite number?
True
Is 11464178351 a prime number?
False
Is 1665074767 a prime number?
False
Is 247854559 a prime number?
True
Is 4907918293 a prime number?
True
Is 5170101226 a prime number?
False
Is 1586766761 a prime number?
True
Is 17087029027 a prime number?
False
Is 1078931927 composite?
False
Is 9162214547 prime?
True
Is 167642426623 composite?
True
Is 807242117 a prime number?
False
Is 24628681421 composite?
True
Is 240621799 a prime number?
False
Is 1022090581 a composite number?
False
Is 124841417 composite?
False
Is 756712241 a composite number?
False
Is 16183651609 a prime number?
True
Is 26034403139 a composite number?
False
Is 7431012703 composite?
False
Is 15356444757 a prime number?
False
Is 11333000969 prime?
False
Is 1390053163 a prime number?
True
Is 288615077 a prime number?
True
Is 2441177177 composite?
False
Is 41385451 prime?
True
Is 1228730617 a prime number?
False
Is 3204997933 a composite number?
False
Is 33776303009 a composite number?
True
Is 303119 a composite number?
False
Is 11624592026 a composite number?
True
Is 1326587099 composite?
False
Is 2788646893 a prime number?
False
Is 50372632253 a prime number?
True
Is 7506399947 composite?
True
Is 46297117423 a prime number?
True
Is 25409359697 a prime number?
True
Is 384258357011 prime?
True
Is 443
|
{
"pile_set_name": "DM Mathematics"
}
|
when four letters picked without replacement from aaaa.
1
Two letters picked without replacement from {a: 1, w: 2, n: 2, x: 1, v: 1, e: 1}. Give prob of sequence wn.
1/14
Calculate prob of sequence iu when two letters picked without replacement from {u: 3, i: 3, w: 2}.
9/56
Three letters picked without replacement from kjiykjkkkqiqiqiijkqj. What is prob of sequence jyq?
2/855
Two letters picked without replacement from bttqqqtqhtqqqqq. Give prob of sequence tq.
6/35
What is prob of sequence vq when two letters picked without replacement from vgqksvkq?
1/14
Three letters picked without replacement from sfnjpfjn. What is prob of sequence psn?
1/168
Four letters picked without replacement from lllnlllnllnlll. What is prob of sequence llnl?
45/364
What is prob of sequence jxjj when four letters picked without replacement from {t: 1, j: 3, g: 2, s: 8, m: 1, x: 3}?
1/4080
Calculate prob of sequence we when two letters picked without replacement from {e: 2, n: 5, w: 4, j: 8}.
4/171
Three letters picked without replacement from {e: 1, f: 1, u: 4, q: 3, y: 1, x: 2}. What is prob of sequence qxx?
1/220
Two letters picked without replacement from {s: 1, n: 5, h: 1, p: 4, v: 1}. Give prob of sequence sv.
1/132
Three letters picked without replacement from mxnxfxxxmmmmmmmm. What is prob of sequence mfn?
3/1120
Four letters picked without replacement from {a: 10, d: 9}. Give prob of sequence addd.
35/646
What is prob of sequence yzf when three letters picked without replacement from {y: 2, e: 2, z: 2, f: 1, r: 1}?
1/84
What is prob of sequence vg when two letters picked without replacement from {v: 1, f: 5, g: 5}?
1/22
Calculate prob of sequence fryf when four letters picked without replacement from rffbyfrplpfy.
2/495
Two letters picked without replacement from eeqqqq. Give prob of sequence ee.
1/15
What is prob of sequence sbbs when four letters picked without replacement from bbbbbbbsbsbb?
1/66
Two letters picked without replacement from kkzzkzkzkkzzzzzkkzk. What is prob of sequence zz?
5/19
Three letters picked without replacement from {b: 4, i: 10}. Give prob of sequence ibb.
5/91
What is prob of sequence xxbx when four letters picked without replacement from bbbbbbbxxbbx?
1/220
Three letters picked without replacement from {r: 2, z: 2, f: 1, a: 1, k: 1, t: 1}. What is prob of sequence trt?
0
Calculate prob of sequence kaw when three letters picked without replacement from {w: 2, k: 4, x: 1, a: 1}.
1/42
Calculate prob of sequence tppt when four letters picked without replacement from tpppttptppptp.
28/429
Two letters picked without replacement from {g: 9, c: 2}. Give prob of sequence cg.
9/55
What is prob of sequence mmme when four letters picked without replacement from eemamemmem?
1/21
Calculate prob of sequence sccb when four letters picked without replacement from {i: 1, b: 1, s: 1, l: 5, c: 6, j: 3}.
1/1904
Calculate prob of sequence zf when two letters picked without replacement from ffttz.
1/10
Two letters picked without replacement from eeeeeeeeeqee. What is prob of sequence qe?
1/12
Three letters picked without replacement from cccqccqccccc. Give prob of sequence qcq.
1/66
Four letters picked without replacement from {w: 1, p: 1, u: 2, l: 1, m: 1, b: 1}. What is prob of sequence lumb?
1/420
What is prob of sequence fl when two letters picked without replacement from {n: 1, l: 1, h: 3, f: 3, o: 2, j: 1}?
3/110
Three letters picked without replacement from {x: 1, d: 6, j: 1, s: 1}. What is prob of sequence xsd?
1/84
Three letters picked without replacement from {f: 2, t: 2, j: 2}. What is prob of sequence fjf?
1/30
What is prob of sequence owkt when four letters picked without replacement from {w: 2, o: 1, i: 3, k: 4, t: 1, g: 1}?
1/1485
Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhh.
1
Three letters picked without replacement from {y: 1, f: 1, s: 5, v: 3, r: 1}. Give prob of sequence rfv.
1/330
Two letters picked without replacement from ffbf. What is prob of sequence bf?
1/4
Four letters picked without replacement from mssmmsmc. Give prob of sequence ssmc.
1/70
Four letters picked without replacement from vvnvnnznvvvvnvnnn. What is prob of sequence nnvz?
2/255
Four letters picked without replacement from {y: 6}. Give prob of sequence yyyy.
1
Two letters picked without replacement from ixiiibxxiqxx. Give prob of sequence bx.
5/132
Two letters picked without replacement from {b: 2, s: 4, u: 5, t: 2}. What is prob of sequence ut?
5/78
Calculate prob of sequence viv when three letters picked without replacement from viiiyvviiyyiv.
6/143
Two letters picked without replacement from {r: 1, s: 1, h: 4, j: 4}. Give prob of sequence jh.
8/45
What is prob of sequence rttr when four letters picked without replacement from rrttrtttrttwrrrtwrt?
14/323
Four letters picked without replacement from {t: 6}. Give prob of sequence tttt.
1
Four letters picked without replacement from nnnbnnnjmnbnn. Give prob of sequence njmb.
3/2860
Calculate prob of sequence by when two letters picked without replacement from bybbyy.
3/10
Calculate prob of sequence jwyy when four letters picked without replacement from {y: 3, j: 1, w: 1}.
1/20
What is prob of sequence pjwj when four letters picked without replacement from {w: 10, p: 1, j: 8}?
35/5814
What is prob of sequence ag when two letters picked without replacement from {g: 2, a: 1, f: 3, w: 1}?
1/21
Calculate prob of sequence lb when two letters picked without replacement from {l: 1, d: 3, z: 2, x: 5, b: 6}.
3/136
Calculate prob of sequence mmmm when four letters picked without replacement from {m: 5, b: 2}.
1/7
What is prob of sequence uuu when three letters picked without replacement from wwuuuuuwf?
5/42
Four letters picked without replacement from jsjsss. Give prob of sequence sssj.
2/15
Three letters picked without replacement from {c: 7, w: 4}. Give prob of sequence cwc.
28/165
What is prob of sequence kkr when three letters picked without replacement from kkkrkkkkkkkkrkkkrrk?
140/969
Calculate prob of sequence cccp when four letters picked without replacement from {h: 1, x: 6, c: 8, d: 2, p: 1}.
7/1530
What is prob of sequence ttc when three letters picked without replacement from {c: 3, t: 13, x: 2}?
13/136
Two letters picked without replacement from iiifooi. What is prob of sequence oo?
1/21
Calculate prob of sequence rc when two letters picked without replacement from crrcrcrrrrrrrrrcrcr.
35/171
Four letters picked without replacement from {v: 7, z: 9, r: 2}. Give prob of sequence vvzr.
7/680
What is prob of sequence maah when four letters picked without replacement from aahahahaahm?
1/66
Calculate prob of sequence ssi when three letters picked without replacement from sisssisiissofmofsss.
20/323
Three letters picked without replacement from {f: 3, k: 7, e: 1, l: 3, q: 1, z: 3}. Give prob of sequence lqe.
1/1632
Three letters picked without replacement from iiiiiyiiwiwiiyyy. What is prob of sequence wwy?
1/420
What is prob of sequence rcq when three letters picked without replacement from eejcqccnjcjrrececq?
1/204
Calculate prob of sequence ajf when three letters picked without replacement from pfapmjjjjjppzjzjpjjp.
1/760
Calculate prob of sequence gr when two letters picked without replacement from {g: 1, a: 4, l: 3, r: 2}.
1/45
What is prob of sequence sdsv when four letters picked without replacement from {d: 2, v: 1, s: 4, g: 2}?
1/126
Two letters picked without replacement from {w: 4, f: 8, j: 1}. What is prob of sequence wj?
1/39
Four letters picked without replacement from eacsmysmssssyym. Give prob of sequence cyss.
1/364
What is prob of sequence fffd when four letters picked without replacement from {f: 7, d: 4}?
7/66
What is prob of sequence inn when three letters picked without replacement from {q: 1, i: 2, b: 1, j: 2, n: 4}?
1/30
What is prob of sequence awo when three letters picked without replacement from wookookwaooak?
2/143
What is prob of sequence uu when two letters picked without replacement from ujuj?
1/6
What is prob of sequence cdac when four letters picked without replacement from cdaacacdggaagctac?
1/238
Calculate prob of sequence yssy when four letters picked without replacement from yuusuysyusuxuxx.
1/910
What is prob of sequence fxo when t
|
{
"pile_set_name": "DM Mathematics"
}
|
l(d) = -9*d**3 - 5*d**2 + d - 4. Let f(o) = 52*o**3 + 28*o**2 - 5*o + 25. Calculate 6*f(z) + 34*l(z).
6*z**3 - 2*z**2 + 4*z + 14
Let f(v) = -2*v**2 + 6*v + 9. Let t(m) = -4758*m + 4757*m + 68 - 68. Give -f(r) - 5*t(r).
2*r**2 - r - 9
Let u(o) = 8*o**2 - 3*o. Let g be ((-1)/6)/((-1)/210). Let c(a) = 95*a**2 - 35*a. Calculate g*u(w) - 3*c(w).
-5*w**2
Let y(b) be the third derivative of 5*b**4/8 - 11*b**3/6 + b**2. Suppose -19*t - 21*t + 2240 = 0. Let j(a) = -17 + t - 3*a - 19 - 18. What is -11*j(v) - 2*y(v)?
3*v
Let m(k) = -2 - 1 + k**3 - 21207*k + 3*k**2 + 21212*k. Let c(w) = w**3 + w**2 + w. Determine -3*c(n) + m(n).
-2*n**3 + 2*n - 3
Let o(f) = 3*f - 2. Let w(i) = -i**3 - 70*i**2 - 82*i - 893. Let n be w(-69). Let l(y) = 2*y - 2. Calculate n*l(m) - 3*o(m).
-m - 2
Let b(a) be the first derivative of 16*a**3/3 - 11*a**2/2 - 5*a + 2. Let t(p) = 230*p - 657*p - 3*p**2 + 203*p + 1 + 226*p. Determine 4*b(w) + 22*t(w).
-2*w**2 + 2
Let l(v) = -2*v**2 - 1. Let u = -209 - -207. Let p(c) = -8*c**2 - 9*c + 31. Let g(o) = -4*o**2 - 5*o + 17. Let z(y) = 11*g(y) - 6*p(y). Give u*z(q) - 5*l(q).
2*q**2 + 2*q + 3
Let q(i) = -4*i**2 + 14*i + 1. Let g(f) = -7*f**2 + 28*f + 2. Suppose -39*c + 45 + 36 = -12*c. Give c*g(z) - 5*q(z).
-z**2 + 14*z + 1
Let b(x) = -9*x**2 - 610*x - 95. Let n(a) = -6*a**2 - 406*a - 68. Give -5*b(u) + 7*n(u).
3*u**2 + 208*u - 1
Let p(a) = 23*a**2 - 17*a + 11. Let o(g) = -3*g**2 - 3*g. Give -6*o(t) + p(t).
41*t**2 + t + 11
Let r(k) = 257*k - 20. Let l(x) = 258*x - 14. What is 5*l(f) - 4*r(f)?
262*f + 10
Let m(p) = -2*p + 23. Let y(f) = f - 1. Calculate -3*m(h) - 21*y(h).
-15*h - 48
Let c = -19 + 13. Let f(i) be the third derivative of -5*i**4/24 - 4*i**3/3 + 2296*i**2. Let x(y) = -y - 1. Calculate c*x(j) + f(j).
j - 2
Let i = 55 - 55. Suppose i = 4*q + 20, -2*q + 10 = 5*l + q. Let o(y) = 7*y - 4. Let v(t) = -11*t + 6. Give l*v(h) + 7*o(h).
-6*h + 2
Suppose 150*y + 868 = 118. Let a(f) = -f**3 + f**2 - 1. Let o(p) = 4*p**3 + 6*p**2 - 6. Determine y*a(l) + o(l).
9*l**3 + l**2 - 1
Let p(c) = -7*c**3 - 10*c**2 - 26. Let z(g) = 3*g**3 + 6*g**2 + 13. Give 3*p(q) + 5*z(q).
-6*q**3 - 13
Let g be 4 + (-13)/((-182)/28). Let u(o) = -3*o**2 + 8*o - 7. Let z(a) = 9*a**2 - 23*a + 20. What is g*z(x) + 17*u(x)?
3*x**2 - 2*x + 1
Let f(u) = -284*u**2 - 15. Let r(s) = -284*s**2 - 3*s - 20. What is 4*f(v) - 3*r(v)?
-284*v**2 + 9*v
Let m(i) = -3*i - 15. Let u = 681 + -426. Suppose 15 = -254*k + u*k. Let v(h) = -1. What is k*v(t) - m(t)?
3*t
Let z(u) = -13*u**3 + 18*u**2 - 18*u - 5679. Let d(y) = 37*y**3 - 51*y**2 + 51*y + 17038. Give -6*d(f) - 17*z(f).
-f**3 - 5685
Let b(w) = 36*w + 75. Let d(l) = 7*l + 24. Give 4*b(f) - 13*d(f).
53*f - 12
Let n(z) = -17*z + 544. Let r(y) = -14*y + 541. Determine 7*n(o) - 8*r(o).
-7*o - 520
Let z(a) = -a. Let f = -4479 + 4480. Let d(n) = -6*n**3 - 2*n. What is f*d(k) - 2*z(k)?
-6*k**3
Let f(d) = -d**2 - 2*d + 94. Let k be f(-11). Let y(q) = -29*q**2 - 6*q - 10. Let x(p) = 19*p**2 + 4*p + 7. Calculate k*y(s) - 7*x(s).
12*s**2 + 2*s + 1
Let s(n) = n - 99. Let k(l) = -l + 50. Give -5*k(v) - 3*s(v).
2*v + 47
Let w(v) = 4*v**3 + 13*v**2 + 13*v + 13. Let n(p) = -p**2 - p - 1. Let m(l) = -l**2 + 12*l - 105. Let s be m(9). What is s*n(q) - 6*w(q)?
-24*q**3
Let f(h) = 919*h - 1. Let d(v) = 2284*v - 2. Calculate 5*d(t) - 12*f(t).
392*t + 2
Let d(i) = -6*i**2 + 4*i + 699. Let z(j) = 14*j**2 - 10*j - 1398. Determine 5*d(b) + 2*z(b).
-2*b**2 + 699
Let b(v) = 3039*v**2 - 61*v - 32. Let u(l) = 608*l**2 - 11*l - 6. Calculate -2*b(w) + 11*u(w).
610*w**2 + w - 2
Let g = -7 - -14. Let t(h) be the third derivative of -h**4/6 + 5*h**3/6 + 3*h**2. Let a(r) = 95 + 9*r - 29 - 29 - 23 - 25. What is g*t(x) + 3*a(x)?
-x + 2
Let v(h) = -3 - 4 + 11*h - 15*h + 9. Suppose 3*z - 23 = 3*f - 2*z, 0 = -2*f - z - 11. Let d(p) = 3*p - 3. What is f*v(s) - 4*d(s)?
12*s
Let x(f) = 208*f**3 + 13*f. Let z(v) = 52*v**3 + 3*v. Suppose 77*n - 60 = 146*n - 89*n. Calculate n*x(c) - 13*z(c).
-52*c**3
Let d(x) = -3*x - 4. Let f(y) = -51*y + 122. Let m be f(-8). Let t(l) = -m + 532 + 0*l + 2*l. Let u = -8 + 3. What is u*t(v) - 3*d(v)?
-v + 2
Let j(u) = 4*u**2 - u - 5. Let h(d) = -11*d**2 + 3*d + 14. Let g be (-6)/10*(0 - (-2190)/(-6)). Let r = 236 - g. Give r*j(o) + 6*h(o).
2*o**2 + o - 1
Let k(z) = 1390*z**3 + 46*z**2 - 72*z. Let l(j) = 155*j**3 + 5*j**2 - 8*j. Determine 3*k(f) - 28*l(f).
-170*f**3 - 2*f**2 + 8*f
Let a(d) = -9*d**3 - 10*d**2 + 11*d - 33. Let o(b) = 3*b**3 - b**2 + 2*b - 5. Calculate -a(p) + 6*o(p).
27*p**3 + 4*p**2 + p + 3
Let u(k) = 4*k**3 - 11*k**2 + 6*k. Let b(g) = 5*g**2 - 3*g + 28*g**3 - 57*g**3 + 27*g**3. What is -5*b(o) - 2*u(o)?
2*o**3 - 3*o**2 + 3*o
Let r(f) = f**3 - 3*f**2 - 36*f + 48. Let d be r(7). Let i(j) = j**3 + 1. Let y(t) = -2*t - 8. Calculate d*i(n) - y(n).
-8*n**3 + 2*n
Let p(y) = -22*y**3 + 38*y**2 - 232*y + 4. Let s(g) = -7*g**3 + 12*g**2 - 77*g + 1. Calculate -6*p(h) + 19*s(h).
-h**3 - 71*h - 5
Let o(k) = k**2 - 1. Let t(l) = -l**3 + 4*l**2 - 4. Let b(c) = 13*c**2 - c + 7. Let r be b(-3). Let f = r - 128. What is f*t(d) + 4*o(d)?
d**3
Let h(u) = -3*u + 0*u**2 + 29*u**3 + 7*u**2 + 26*u**3 + 37*u**3 - 91*u**3. Let t(x) = -x**2 - x. Determine h(b) - 3*t(b).
b**3 + 10*b**2
Let d(x) = -40*x**2 - 3. Let t(l) = 118*l + 2955. Let o be t(-25). Let k(u) = 20*u**2 + 2. Calculate o*k(i) + 3*d(i).
-20*i**2 + 1
Let k(j) = 8*j**3 - 3*j - 1. Let p be (-1)/2 - 1265/(-230) - 2. Let z(n) = -n**3 + n + 1. Give p*z(a) + k(a).
5*a**3 + 2
Let v(j) = -3*j - 6. Let u be v(-4). Let f(n) = -u*n + 4 + 10*n - 2*n. Let k(d) = -d - 1. Suppose 0 = -l - 5*m + 6, -5*l + 4 + 2 = m. What is l*f(h) + 3*k(h)?
-h + 1
Let r(v) = -10*v + 5*v - 2*v + 1 + 6*v + v**2. Let l(t) = 2*t**2 + 3*t - 1. Let p(c) = -l(c) - 3*r(c). Let o(k) = 11*k**2 + 5. Give 4*o(d) + 10*p(d).
-6*d**2
Let a(t) = -65*t**3 - 265*t**2 + 55. Let c(b) = -9*b**3 - 37*b**2 + 8. Calculate 4*a(n) - 29*c(n).
n**3 + 13*n**2 - 12
Let q(k) = -k**3 + 6*k**2 + 1. Let w(n) = 5*n**3 - 24*n**2 - 4. Suppose -15*d - 78*d = 837. Determine d*q(x) - 2*w(x).
-x**3 - 6*x**2 - 1
Let g(i) = i**2. Let a be 9 - (7 + -13)*-2. Let z(v) = v**2. What is a*g(l) + 15*z(l)?
12*l**2
Let k(r) = -16*r**3 + 20*r**2 + 20. Let w be (-2)/(-4)*1*6. Suppose w*m + 12 - 9 = 0. Let h(u) = -u**3 + u**2 + 1. Calculate m*k(c) + 20*h(c).
-4*c**3
Let r be 4 - ((-429)/(-117) - 2/3). Let w(o) = -1 + r - 10 - 42*o**2 + 44*o**2. Let i(j) be the first derivative of j - 1. Calculate -8*i(g) - w(g).
-2*g**2 + 2
Let g be (-29)/4 - 2/(-8). Let l(o) = 9*o + 15. Let t(c) = 9*c + 1. Let w(v) = 23*v + 10. Let q(u) = -2*t(u) + w(u). Calculate g*q(i) + 4*l(i).
i + 4
Let k(r) = -3*r + 1. Let p(i) = -3*i + 2. Suppose 0 = 16*y - 12*y - 8. Suppose -2*j = y*l - 0*l + 14, 4*l + 16 = 0. Let s = 0 - j. Determine s*p(h) - 4*k(h).
3*h + 2
Let w(r) = -1321*r**3 + 2642*r**2 + 1321*r - 1321. Let u(p) = 2*p**2 + p - 1. Calculate -6605*u(d) + 5*w(d).
-6605*d**3
Let k(w) = -261*w - 72. Let j(v) be the first derivative of -9*v**2 - 5*v - 1400. Determine -72*j(g) + 5*k(g).
-9*g
Let b(h) = -14600*h**2 + 17520*h - 52560. Let q(p) = p**2 - p + 3. Calculate -b(m) - 17520*q(m).
-2920*m**2
Let x(a) = 2*a**3 + 57*a**2 - 111*a**2 - 2 - 7*a**3 + 59*a**2 - 3*a. Let r(f) = -14*f**3 + 14*f**2 - 8*f - 5. Let u = 390 - 387. Calculate u*r(b) - 8*x(b).
-2*b**3 + 2*b**2 + 1
Let f(n) be the first derivative of -n**2 - 61. Let g(m) = -4*m + 1. Let o = 59 - 64. Calculate o*f(d) + 2*g(d).
2*d + 2
Let b(g) = -2*g**3 - 11*g**2 + 5*g + 7. Let o(u) = -u**3 - 6*u**2 + 3*u + 4. Let p be 6358/(-18) + (-2)/(-9). Let t = -348 - p. Calculate t*o(r) - 3*b(r).
r**3 + 3*r**2 - 1
Let b(d) = 1. Let q(k) = -k - 1. Suppose -4*r + 5*n - 12 = 0, 5*r = 2*n + 2*n - 24. Let l be 5 + -3 + 11 + r. Calculate l*b(f) + 5*q(f).
-5*f
Let c(s) = -6*s**2 + 2*s - 12. Suppose 43 = 12*r + 31*r. Let h(g) = -g**2 - 1. Give r*c(p) - 5*h(p).
-p**2 + 2*p - 7
Let p(t) = -t + 2. Let r be p(-2). Let s(i) = -i**2 - 2. Let z(q) = -4*q**2 - 11. Let h(b) = -b**2 + 14*b - 35. Let l be h(13). Determine l*s(f) + r*z(f).
6*f**2
Let k = -7 - -13. Let a(o) = -o**2 - 340*o + 6086. Let j be a(17). Let g(c) = -3*c**3 + c - 2. Let s(w) = 8*w**3 - 3*w + 6. Give j*g(n) + k*s(n).
-3*n**3 - n + 2
Let d(q) = -2*q**2. Let z(y) be the second derivative of 0 - 97*y
|
{
"pile_set_name": "DM Mathematics"
}
|
41*w + 6. Let p be o(-6). Solve -6*c + p*c + 12 = 0 for c.
2
Let r(i) = 400*i + 3612. Let f be r(-9). Solve 1312*d - 1314*d = -f for d.
6
Suppose 2*a - 203 = 46*b - 47*b, -943 = -5*b + 2*a. Solve 188*w - 12 = b*w for w.
-4
Suppose -14*f = 2*f - f. Suppose v = -4*u + 2*u + 11, u - 3 = f. Solve -6 = v*c - 16 for c.
2
Let d = -863 + 874. Solve d*r = -31 - 24 for r.
-5
Suppose -g - 54*w + 20 = -53*w, 4 = 4*w. Solve 0 = g*s - 27*s + 32 for s.
4
Suppose j - 223 = 9*r - 8*r, 2*j + 4*r - 452 = 0. Solve -j = -446*b + 414*b for b.
7
Suppose -h + 0*l - 2*l - 3 = 0, l = -2*h + 3. Suppose -3*c - h*c = 54. Let q be (-4)/6*(c - 3). Solve -3*x + q = 23 for x.
-5
Let o(l) = 14*l - 476. Let y be o(34). Solve -26*p + 71 + 7 = y for p.
3
Let x be 6/((4 - 1)*(-6)/(-12)). Suppose -2 = 2*s + 2*a - 4, 3*s = x*a - 18. Let r = s - -6. Solve q = 7 - r for q.
3
Let a be (-217)/2 + ((-6)/4)/3. Let s = 120 + a. Suppose z + z + 3*c = 17, s = 2*z + c. Solve 0*t = z*t for t.
0
Let m be 2/((-3768)/(-1886) + 0 + -2). Let r = m - -949. Solve 18 = r*w - 0*w for w.
3
Let q(b) = -2*b**2 - 3*b - 2. Let l be q(-2). Let j(n) = -2*n + 4. Let g(a) = 3*a - 8. Let z(m) = -3*g(m) - 5*j(m). Let u be z(l). Solve u*c = -c + 2 for c.
2
Suppose 3*m - 16 = -5*c, -2*m + 6 = -c + 2*c. Suppose m*y + 8 = 6*y. Solve 20 = -7*b + y*b for b.
-4
Let z(y) be the third derivative of -y**4/4 + 7*y**3 + 36*y**2. Let a be z(11). Let n be (-1)/8 + (-75)/a. Solve 8*h - n*h = 0 for h.
0
Let f = 15 - 12. Let d(q) = q**2 + 13*q - 27. Let j be d(-15). Suppose -2*a = -5*v + 78, v + 3*v + j*a - 67 = 0. Solve f*n - v = -n for n.
4
Suppose -61*f + 45*f + 194*f = 5340. Solve f - 47 = -17*p for p.
1
Suppose -5*i - 22 = -16*i. Suppose u = 3*s + 3, 4*u + u - 15 = i*s. Solve 1 = 2*r + u for r.
-1
Let u(m) = -2*m**2 - 3*m + 3. Let b be u(-3). Let i be ((-2)/6)/(b/(-54)) - 1. Let d be 0/((0 + i/(-10))*5). Solve d*t = t for t.
0
Let f be -1 + 3*3/9. Let a be (-8)/36 - ((-752)/(-18))/(-8). Suppose 29 = 4*q - 3*g, 4*q - 35 = -f*q + a*g. Solve o - q*o = 0 for o.
0
Let j(u) = -120*u - 50. Let k(a) = 7*a + 3. Let n(f) = -2*j(f) - 35*k(f). Let v be n(-3). Suppose -v*r = -19*r. Solve r = -4*d - 9 - 7 for d.
-4
Suppose 1259*s + 594 = 1277*s. Solve 39 = 6*i + s for i.
1
Let t = -49 + -11. Let k = -57 - t. Let y be 0 + (-16)/((-12)/k). Solve s = -y*s + 20 for s.
4
Suppose -514*s + 470*s + 2992 = 0. Solve 44 = -6*w + s for w.
4
Suppose -106 = -3*o - 5*l, -22*l - 56 = -2*o - 18*l. Solve -3*v = o - 26 for v.
-2
Suppose -385*a + 193 = -382*a + 2*r, -142 = -2*a + 2*r. Solve -75*i + a*i = -48 for i.
6
Suppose 0 = 146*g - 139*g + 5*q - 598, 88 = g + 2*q. Solve g*k = 63*k for k.
0
Suppose 2*i - 141 = -131. Suppose -2*s - 14 = -i*c, -5*s - 8 = -4*c + 10. Solve 2 - c = -h for h.
0
Let k = -1607 - -2400. Solve 773 = 4*f + k for f.
-5
Let x(u) = -4*u**3 - 2*u**2 + 6*u + 7. Let n be x(-1). Suppose -3*o = 3*t + n, -5*t + 3*o = -2*o - 5. Solve -4*p - 8 = -t*p for p.
-2
Let q be 0 + (-2 - (-7 + -1)). Let u(h) = -h**3 - 10*h**2 + 7*h - 5. Let p be u(-4). Let b = 145 + p. Solve 2*m - q = -b for m.
-5
Let u = -1003 + 1005. Suppose -3 = h - 2*h. Suppose -4*w + h*w = 0. Solve c + 3 + u = w for c.
-5
Let u = -47 - -56. Suppose q + 41 = 3*y, -y - 7*q + u*q + 12 = 0. Solve -y = -8*r - 46 for r.
-4
Suppose -4*i = -u - 376, 0 = -3*u - 5*i - 204 - 1009. Let x = -392 - u. Solve -m - x + 2 = 0 for m.
-2
Let p be (3/(-2))/((-2)/(-4)). Let k(i) = 11*i - 3. Let w(s) = -2*s + 1. Let u(v) = -k(v) - 5*w(v). Let j be u(p). Solve 10 = -3*y + j for y.
-3
Let q(o) = 230*o + 1150. Let r be q(-5). Solve r = -42*y + 18*y for y.
0
Suppose -5*f + 1 = 3*n, 0 = 2*f + 4*n - 698 + 706. Solve 0 = f*b + 12 - 10 for b.
-1
Let l = 7 - 1. Suppose -2*y = -l, 2*u - 5*y + 8 = -y. Let h(n) = n**3 - 32*n**2 - 22*n - 359. Let o be h(33). Solve -u*r + o*r = -2 for r.
-1
Let q = -50 - -70. Suppose 0 = -2*a + 5*a. Suppose 0*s - 5*f = s + 13, 4*s - 4*f - q = a. Solve 2 = d - s for d.
4
Let u = -443 - -453. Suppose -20*n + u*n = 23*n. Solve n = 4*s + 16 - 8 for s.
-2
Let v(g) = 29*g**2 + 103*g + 14. Let l be v(-4). Solve 0 = 45*s - 34*s + l for s.
-6
Suppose z = -2*z, -5*z - 20 = -l. Suppose o + l = 5*o. Let j be o + -3 - 3/(6/(-4)). Solve -j*f + 0 - 4 = 0 for f.
-1
Let v = 9 + 68. Suppose -2*c - w = 12, 5*w - v + 17 = 5*c. Let p be c - -9 - (-1 + 1 + -1). Solve 0 = -r + 2*r + p for r.
-2
Let v(f) = -f**3 + 3*f**2 - 5*f + 2. Let i be v(3). Let x(c) = -5*c - 10. Let t be x(i). Suppose -75 = 52*g - t*g. Solve -y = 4*y - g for y.
5
Let a(h) = 1. Let n(b) = 14*b - 71. Let x(i) = -5*a(i) + n(i). Let d be x(6). Solve 3 = 5*c + d for c.
-1
Suppose 8*p - 23*p = -8*p - p. Solve -23*c + 93 + 45 = p for c.
6
Let z(q) be the second derivative of -q**4/12 - 4*q**3/3 - 15*q**2/2 - 96*q. Let c be z(-5). Solve -h + c*h = -2 for h.
2
Suppose -5*c = 2*j - 0*j - 15, 5*j + 6 = 2*c. Suppose 2*n - 5*t + 7 = 26, j = t + 3. Suppose r = n*q + q - 9, 0 = -2*q + r + 5. Solve m = q*m for m.
0
Let u = 17406 + -17242. Solve -156 = -8*t - u for t.
-1
Suppose k + 46 = 3*l, -l - 68*k = -69*k - 14. Solve -18 = -l*v + 25*v for v.
-2
Suppose 5*v - 9*v - 10 = -2*q, -8 = 2*v - 4*q. Let k be (-2 - -2)*v/(-8). Solve k = -8*d + 7*d for d.
0
Suppose 6*u + 309 = 1431. Let m = u + -182. Solve -m*q + 8*q = -6 for q.
-2
Let i = -6 + 8. Suppose -90*v + 93*v + 6 = 0. Let z be (-8 + 48/8)/(v + 0). Solve i*l = -5 + z for l.
-2
Let s = 2 + 3. Suppose -4*n = r - 9, 2*r - 2 = 8. Suppose 0 = -2*c - n + 3. Solve 0 = 2*f + s + c for f.
-3
Let t = 80 - -110. Suppose 0 = 4*b - t - 2. Let a be 63/8 - (-6)/b. Solve a = 3*h - 1 for h.
3
Let c be 1314/10 - 54/(-90). Let m = c + -132. Solve 2*a + 0*a + 10 = m for a.
-5
Let o(u) = u**3 - u**2 - 17*u - 1. Let c be o(5). Suppose 4*x - c = 4*n - 6*n, 2*x = n - 7. Solve -4*z = -n*z for z.
0
Let s(v) = -v**2 + 17*v - 58. Let x be s(10). Suppose 36*o = x*o + 840. Solve -7*z = -0*z - o for z.
5
Let s = -10835 - -10892. Solve -109 = 13*b - s for b.
-4
Let m(o) = o**3 - 7*o**2 + o - 7. Let u be m(8). Let a be u/7 + ((-16)/(-14))/(-4). Solve -12*p + 15*p + a = 0 for p.
-3
Let o be 18/(-8)*-56*627/66. Solve 1199*u - o*u = -14 for u.
-7
Suppose -325 = -22*m + 71. Solve -m*v + 29 = -25 for v.
3
Let w(x) = -150*x - 291. Let l be w(-2). Let t = -11 + 15. Suppose 0 = t*a - l*a + 15. Solve a = -m - 2 for m.
-5
Suppose 4*f - 34 = 35*u - 32*u, 0 = f + 2*u - 3. Suppose f = 3*j - 2. Solve -w + 0*w = -j for w.
3
Let q(u) be the second derivative of u**3/6 - 27*u**2/2 + 175*u. Let z be q(29). Solve -z*m + 8*m = 12 for m.
2
Suppose 23 = s + 3*j - 25, -2*j = -6. Suppose -38*q = -s*q + 1. Solve -4 - q = 5*p for p.
-1
Let u be 9/(-15)*(-55 - 0). Let f = u + -29. Suppose 63 = f*b + 3. Solve -2*r = r - b for r.
5
Let h be 4*(3 - (-8)/(-4)). Suppose -u - 2*z = -6*u + 20, 0 = h*u + z - 3. Suppose j - 8 = 4*n + n, u*n - 1 = -j. Solve j*s - 6*s + 15 = 0 for s.
5
Suppose -6 = -5*p - g, 5*p = -2*g + 69 - 67. Solve 0 = n + 3 + p for n.
-5
Suppose 0 = 2*q - w + 313, -34*w = -3*q - 32*w - 471. Let p = q - -157. Solve 9 = p*y + 1 for y.
4
Let b(x) = -13*x**2 + 133*x - 30. Let v be b(10). Solve v = -5*t - 30*t + 35 for t.
1
Suppose 5*l = 4*m - 65, 3*m + 121 - 176 = 5*l. Solve 1630 = m*f + 1610 for f.
2
Let n(d) = -d**2 - 44*d - 250. Let r be n(-37). Suppose 21*k = r*k + 48. Let w be (1/1)/1 - -1. Solve -2*i = w*i + k for i.
-1
Let g(a) = -5*a**2 + 17*a + 6. Let w be g(4). Let d(z) = 5*z**2 + 32*z + 15. Let q be d(w). Solve -28 = 5*v - q for v.
-5
Suppose -7*v - 3 = 4. Let h be ((-4)/4)/(v/5). Suppose -5*m - b + 23 = -2, -m + h = b. Solve -11 = m*j + 9 for j.
-4
Let i be 313/3 - ((-1)/(-3))/1. Solve 22*p - i = 9*p for p.
8
Let p(q) = -7*q**2 - 11*q + 30. Let u be p(-3). Solve u = -6*g - 755 + 749 for g.
-1
Let w = -4113 + 4196. Solve w*c = 85*c + 8 for c.
-4
Suppose l = -2*t + 11, 9*l = t + 5*l + 8. Suppose 3*o = -5*v + 42, -t*v - 28 = -5*o + 42. Solve 0 = 12*q - o*q - 2 for q.
-1
Let r(m) = -4*m**3 - 24*m**2 + 24*m - 9. Let u(w) = -3*w**3 - 22*w**2 + 24*w - 8. Let t(g) = 4*r(g) - 5*u(g). Let c be t(12). Solve c*h - 3*h + 2 = 0 for h.
-2
Let h(l) = l + 9. Suppose 20 = -5*k - 0*k. Let z be h(k). Let o be -1 + 0 + -2 - 35/(-5). Solve 3*s + z = -o for s.
-3
Let t(o) = -2*o - 12. Let h be t(-6). Suppose h = 4*u - 3*u - 5. Solve 2 = u*a - 3 for a.
1
Su
|
{
"pile_set_name": "DM Mathematics"
}
|
in milliseconds?
12000
How many microseconds are there in 2.352646ms?
2352.646
What is 1/80 of a millennium in months?
150
How many centimeters are there in 0.8343583nm?
0.00000008343583
How many milligrams are there in 0.7492561 tonnes?
749256100
How many litres are there in 0.4237081 millilitres?
0.0004237081
What is one twentieth of a millisecond in microseconds?
50
How many grams are there in 0.980238kg?
980.238
How many months are there in thirteen eighths of a century?
1950
How many days are there in 748.1751 hours?
31.1739625
Convert 7685.1 minutes to days.
5.336875
How many litres are there in 4.309435ml?
0.004309435
What is 5.398952 kilograms in tonnes?
0.005398952
Convert 4.80155 weeks to microseconds.
2903977440000
What is 27/5 of a milligram in micrograms?
5400
What is 1/20 of a milligram in micrograms?
50
What is 60665.25 months in millennia?
5.0554375
What is twenty-nine halves of a year in months?
174
What is 0.4465218kg in milligrams?
446521.8
Convert 2.8185852 months to millennia.
0.0002348821
How many centuries are there in 119727.3 months?
99.77275
Convert 86.99157t to kilograms.
86991.57
What is 1458.046 kilometers in micrometers?
1458046000000
How many micrometers are there in sixty-one halves of a millimeter?
30500
How many hours are there in 3/7 of a week?
72
What is 37/5 of a milligram in micrograms?
7400
How many years are there in 5/4 of a millennium?
1250
What is three fifths of a day in seconds?
51840
What is one twentieth of a milligram in micrograms?
50
How many minutes are there in twenty-one halves of a hour?
630
Convert 85887.66 years to millennia.
85.88766
What is 6309.964g in nanograms?
6309964000000
Convert 0.9136282 millennia to months.
10963.5384
What is 4.23786 weeks in days?
29.66502
How many nanometers are there in 560.4639 meters?
560463900000
How many months are there in three sixteenths of a millennium?
2250
What is 1.191929 weeks in days?
8.343503
How many minutes are there in 1/4 of a week?
2520
What is 95.01576um in meters?
0.00009501576
Convert 5743.873 centimeters to nanometers.
57438730000
What is 18/5 of a millennium in centuries?
36
How many micrograms are there in 15/4 of a milligram?
3750
What is 0.9186462 micrograms in tonnes?
0.0000000000009186462
How many millilitres are there in three fifths of a litre?
600
What is seven halves of a litre in millilitres?
3500
How many minutes are there in 9.646837 hours?
578.81022
Convert 2894984.4 months to centuries.
2412.487
Convert 7.78166 litres to millilitres.
7781.66
What is 0.0893838 millilitres in litres?
0.0000893838
What is fourty-one halves of a centimeter in millimeters?
205
How many years are there in 17/2 of a decade?
85
What is 1/10 of a micrometer in nanometers?
100
What is 6/5 of a kilometer in meters?
1200
Convert 0.8851573 millilitres to litres.
0.0008851573
What is 21/5 of a century in years?
420
How many millilitres are there in five quarters of a litre?
1250
Convert 5.905958s to microseconds.
5905958
Convert 0.1186392 milligrams to nanograms.
118639.2
Convert 937899.4 days to nanoseconds.
81034508160000000000
How many nanograms are there in five eighths of a microgram?
625
How many micrometers are there in 966.3112km?
966311200000
What is 114312.7 weeks in minutes?
1152272016
Convert 74.79212kg to milligrams.
74792120
Convert 30250.01 litres to millilitres.
30250010
How many months are there in 11/4 of a year?
33
Convert 851.7162um to millimeters.
0.8517162
What is 0.0343525 kilograms in nanograms?
34352500000
What is 769548.3us in milliseconds?
769.5483
What is seven halves of a century in years?
350
How many micrograms are there in 37/5 of a milligram?
7400
Convert 1180019.988 seconds to weeks.
1.95109125
Convert 290.0922g to micrograms.
290092200
What is twenty-seven halves of a litre in millilitres?
13500
What is 25/2 of a gram in milligrams?
12500
How many minutes are there in 31/5 of a week?
62496
How many days are there in 14440650.3 seconds?
167.13715625
What is 21/2 of a litre in millilitres?
10500
How many months are there in 9098.751 centuries?
10918501.2
What is 695300.8ns in microseconds?
695.3008
What is twenty-one quarters of a millennium in months?
63000
What is seven sixths of a year in months?
14
What is 9.524927ml in litres?
0.009524927
Convert 811.632 hours to nanoseconds.
2921875200000000
Convert 8.63288 milliseconds to nanoseconds.
8632880
How many millilitres are there in 71/4 of a litre?
17750
What is 26/5 of a litre in millilitres?
5200
How many millimeters are there in 6.435139cm?
64.35139
What is 0.1968046 millilitres in litres?
0.0001968046
Convert 834806.9ml to litres.
834.8069
What is 31698002.7us in weeks?
0.00005241071875
What is twenty-seven fifths of a litre in millilitres?
5400
What is 5861.07 centuries in decades?
58610.7
How many months are there in 3/8 of a decade?
45
What is three eighths of a litre in millilitres?
375
How many milliseconds are there in 7/25 of a minute?
16800
What is five sixths of a week in hours?
140
What is 54/5 of a centimeter in millimeters?
108
What is eleven eighths of a micrometer in nanometers?
1375
What is 0.880808 litres in millilitres?
880.808
What is 1061.81 centuries in months?
1274172
What is 941628.7 decades in years?
9416287
How many litres are there in 58384.72ml?
58.38472
What is 11/2 of a microgram in nanograms?
5500
How many litres are there in 4122.887ml?
4.122887
How many kilograms are there in 4491.08t?
4491080
How many millilitres are there in 4338.392 litres?
4338392
What is three fifths of a milligram in micrograms?
600
Convert 3.456861ml to litres.
0.003456861
How many micrometers are there in 7/2 of a centimeter?
35000
Convert 7.521158 centuries to years.
752.1158
What is thirteen quarters of a millennium in years?
3250
What is 1/4 of a kilometer in meters?
250
What is 0.652183 nanometers in meters?
0.000000000652183
How many litres are there in 7099.913ml?
7.099913
What is 0.0298398 decades in millennia?
0.000298398
Convert 76702.27t to grams.
76702270000
How many years are there in twenty-five quarters of a millennium?
6250
What is 0.3161723 millilitres in litres?
0.0003161723
Convert 50080.37 tonnes to grams.
50080370000
How many kilograms are there in 79.39355ng?
0.00000000007939355
How many hours are there in 29/3 of a week?
1624
Convert 92.74745ng to kilograms.
0.00000000009274745
How many litres are there in 247.4338 millilitres?
0.2474338
How many millilitres are there in five eighths of a litre?
625
How many millimeters are there in 3/40 of a kilometer?
75000
What is 21/8 of a litre in millilitres?
2625
Convert 18456.44913s to weeks.
0.030516615625
How many millilitres are there in twenty-one quarters of a litre?
5250
Convert 741144.1 grams to nanograms.
741144100000000
What is 933516.4cm in meters?
9335.164
Convert 87558.17 micrograms to kilograms.
0.00008755817
How many nanoseconds are there in 3/40 of a microsecond?
75
What is 3.900357 millennia in centuries?
39.00357
Convert 0.636747 days to milliseconds.
55014940.8
How many microseconds are there in 572.0035ns?
0.5720035
Convert 0.735317kg to tonnes.
0.000735317
How many centuries are there in 4.75183 millennia?
47.5183
Convert 90.69747 weeks to nanoseconds.
54853829856000000
Convert 56948.1 nanograms to milligrams.
0.0569481
How many weeks are there in 1594.096119 seconds?
0.0026357409375
How many nanometers are there in 7214.256 millimeters?
7214256000
How many grams are there in 9/10 of a kilogram?
900
How many nanometers are there in 3/32 of a millimeter?
93750
What is 0.5062558 litres in millilitres?
506.2558
What is 1/20 of a gram in milligrams?
50
What is 955.5029mg in kilograms?
0.0009555029
Convert 144366.4404 microseconds to weeks.
0.000000238701125
Convert 62512.16 meters to nanometers.
62512160000000
How many minutes are there in two ninths of a day?
320
What is 5/6 of a day in hours?
20
Convert 11.03437 years to months.
132.41244
What is 20.604336 minutes in hours?
0.3434056
How many millimeters are there in twenty-one fifths of a meter?
4200
How many millimeters are there in 682.203 micrometers?
0.682203
How many decades are there in 5171.239 centuries?
51712.39
What is eleven eighths of a litre in millilitres?
1375
Convert 70.73689 decades to months.
8488.4268
Ho
|
{
"pile_set_name": "DM Mathematics"
}
|
0.055 - -0.275. What is the third smallest value in -4, 0.4, i?
0.4
Let h = -37.5 + 36. Let d = h - -3.5. Let z be 40/(-12) + 2/6. Which is the third smallest value? (a) d (b) z (c) 0.2
a
Let z = -5001/7 + 723. Let g = -167348 + 15227874/91. Let m = g + z. Which is the third biggest value? (a) m (b) 1 (c) -0.3
c
Let h be 3/2 + 65/(-10). Let p be 17/((-833)/(-14))*2*-3. Which is the biggest value? (a) p (b) 0.2 (c) h
b
Let p = -345 - -345.5. Let i = -4.8 + -0.2. What is the third smallest value in -0.03, i, p?
p
Let p = 67 - 64. Let i = 4 + -7. Let t = i - -4. What is the second biggest value in p, -0.5, t?
t
Let k = -304 - -307. Which is the third biggest value? (a) 9 (b) 5/4 (c) k (d) 5
c
Let c = 0.536 - -0.264. Let r = 14 + -3. Let v = -8 + r. What is the smallest value in -1/7, c, v?
-1/7
Suppose -336 = -15*y + 18*y. Let q = y + 80. Which is the smallest value? (a) 1 (b) q (c) -2/3
b
Let a = -371.6 + 372. What is the third biggest value in 3, a, 1, 5?
1
Suppose -3 = -r - 2*w, -2*r = r - 2*w + 7. Let x be (-42)/68 + r/(-2). Which is the second biggest value? (a) 1 (b) 3 (c) 3/7 (d) x
a
Let x = -359.9 + 360. Which is the smallest value? (a) -2/9 (b) 3 (c) x (d) 0.09
a
Let d be 42/70 - (-156)/(-235). Let a = d - 129/188. What is the smallest value in 0, a, 1/4?
a
Let u = -19 - -41. Let z = 20 - u. Which is the biggest value? (a) 1/7 (b) z (c) 3/2
c
Let b = -16.9 + -31. Let g = 48 + b. What is the third smallest value in g, -5, -4, 3/2?
g
Let s = 2.1 - 2.5. Let r = -19.4 - s. Let l = 14 + r. Which is the second biggest value? (a) l (b) -0.2 (c) 5
b
Let h = 117.8 - 117. What is the third smallest value in -1, -0.5, h?
h
Let w = 38 + -38.1. Let z = 141 - 143. What is the second smallest value in 0.9, -3, z, w?
z
Let m = -0.2 - 2.1. Let p = 2.7 - m. What is the smallest value in p, 1, -2/13?
-2/13
Let g = 0.35 - 0.14. Let d = g + -0.39. Let l = -0.18 - d. What is the smallest value in -2, 3, l?
-2
Let q = -2250 - -2247. Which is the third biggest value? (a) q (b) -2 (c) 0 (d) -17
a
Let b(o) = -o**2 - 3 - 8 - 98*o + 90*o. Let t be b(-5). What is the second smallest value in 11, 1, t?
t
Let p = 0.9 - 0.8. Let n = 0.43 + -0.36. Which is the second smallest value? (a) n (b) -0.2 (c) p
a
Let k = 10.8 - 7.1. Let v = k + -0.3. Let g = 3 - v. What is the third smallest value in 5, g, 0.7?
5
Let j be 0 + 2 + -32 + 30. Let s = 4 + -4.1. What is the smallest value in 23, j, s?
s
Let g = -18 + 17. Let i = 28 - 31. Which is the second smallest value? (a) g (b) 2 (c) 4 (d) i
a
Let v(n) = 56*n + 669. Let y be v(-12). Let i = -15 + 10. Which is the third biggest value? (a) y (b) i (c) -4 (d) -0.3
c
Suppose 0 = -735*i + 738*i. What is the second biggest value in 3, i, 59?
3
Let w be 0 + 4*3/24. Let t be 8/6*3 - 15. Let m = t + 6. Which is the third smallest value? (a) m (b) -0.2 (c) w
c
Let j = 43 + -52. Let z(m) = -m**2 - 11*m - 13. Let s be z(j). Which is the third smallest value? (a) s (b) 0 (c) -5
a
Let t = -58 + 65.14. Let j = -0.36 - t. Let v = 7 + j. Which is the third biggest value? (a) v (b) 3 (c) 4
a
Let x be (-3 + 7/2)*0. Suppose -8 = -2*k - x*k. Which is the third smallest value? (a) 0.1 (b) -2/9 (c) k
c
Let o = 12 + -11. Let w = 67 + -69. Which is the third smallest value? (a) o (b) -2/3 (c) w
a
Suppose -10*y - 9 = -7*y, -u = 5*y + 10. What is the second smallest value in -0.1, u, 4/3?
4/3
Let r = 0.1381 - -0.0619. What is the biggest value in -26, 1/2, r?
1/2
Let h be ((-6)/12)/((-14)/340). Let z = -13 + h. What is the smallest value in -2/3, z, -2, 0.3?
-2
Let r = 1041 + -1040.97. Which is the biggest value? (a) r (b) -0.09 (c) 4
c
Let l be 2/40 - 2/8. Let z = -0.0422 - 4.9578. Which is the smallest value? (a) z (b) l (c) 0
a
Let o = -0.4 + -0.6. Let i = -28 - -28.4. Let q = i - 0.7. Which is the third biggest value? (a) q (b) o (c) 0
b
Let j = 26.05 - 0.05. Let s = j - 16. What is the third biggest value in -0.1, s, -1?
-1
Suppose z - 3*z + 8 = 0. Let h = -205.7 + 206. Let k be 1 - (-2)/(3 + -1). Which is the second biggest value? (a) z (b) h (c) k
c
Let j = -6/61 - 178/671. What is the third biggest value in j, -3, 2, 3/4?
j
Let i = 2 + -1.6. Let r = -311 - -621/2. Which is the third biggest value? (a) 2/21 (b) r (c) 2/3 (d) i
a
Suppose -843 = 3*n - 858. Let p = -18 - -4. Let z be ((-12)/p)/2 - 0. What is the third biggest value in n, z, 3?
z
Let g = 163 + -649/4. Which is the biggest value? (a) 1/4 (b) -4 (c) g
c
Let c = -10 + -3. Let f = c + 12. What is the third biggest value in 3/8, -2, f?
-2
Let p = 29 + -29.2. Let j = p - -0.1. What is the third biggest value in -0.02, 1/7, j, -1/3?
j
Let s = 128 - 1410/11. Let t be ((-9)/12)/(54/96). Which is the biggest value? (a) t (b) -0.4 (c) s
c
Let w = 0.16 - 0.16. Let z be 3/12 + (-3)/(-6). What is the third biggest value in -0.04, w, z?
-0.04
Let l = 1.4 - -3.6. Suppose 9 = -5*r - 2*z - 12, 4*z = -r + 3. Let n = 2 - 1. What is the third smallest value in n, l, r?
l
Let h = 7.31 - 7.71. Which is the third biggest value? (a) -0.3 (b) -0.05 (c) -8 (d) h
d
Let m(v) = -v - 4. Let l be m(1). Let j = 4 + 9. Let z be 5 + -3 + j/l. What is the third biggest value in 0.1, z, 3/5?
z
Let u = 1514 + -3027/2. Let j = 0 - 0.1. Which is the third biggest value? (a) u (b) j (c) 7
b
Let s = -121 - -114. Let x = -2 + -1. What is the third smallest value in x, s, 1/4?
1/4
Let w be 78 + -81 - 1*-5. Suppose 3*v - 3*b + 3 = 0, 5*v - 2*b - b + 5 = 0. What is the fourth smallest value in w, -5, 0, v?
w
Suppose -8 = 2*h - m - 3, 12 = 4*m. Let q be ((-4)/9)/(h/((-7)/(-14))). Which is the fourth biggest value? (a) 0 (b) 0.4 (c) 4 (d) q
a
Let u = 0.448 - 0.303. Which is the biggest value? (a) 0.2 (b) u (c) -1
a
Let g = 249/7 + -1017/28. Which is the third smallest value? (a) -58 (b) g (c) -2/15
c
Let t be ((-2)/7 + 0)*1127/(-644). Which is the fourth smallest value? (a) -4/3 (b) -4 (c) -0.03 (d) t
d
Let t = -347 - -344. What is the fourth smallest value in 1/4, 28, -0.2, t?
28
Let c = -2.9 - -0.9. Let h be ((-2)/21)/(0 - 3/(-7)). What is the biggest value in h, c, 1?
1
Let v be (-3 - -12)/36*(7 - 0). Let s = 13 - 10. Which is the fourth smallest value? (a) s (b) v (c) -2/11 (d) 2/9
a
Let g = -34 + 22. Let l be (-1)/(((-3)/g)/1). Let v be (-2)/6*6/(-18). Which is the biggest value? (a) l (b) v (c) -2
b
Let y = 3.6 + 12.4. Let t = -2/515 + -499/4120. Which is the fourth smallest value? (a) -3 (b) t (c) -5 (d) y
d
Let r be 330/(-40) + 3/2. Let p = r - -6. Which is the fourth smallest value? (a) 0 (b) p (c) 4 (d) 3/5
c
Let d = -2628599/56098 + 1/8014. Let j = d + 47. Let h = -540.4 + 540.8. What is the second biggest value in j, h, -3?
j
Let n = -358 - -215.2. Let i = n - -143. Which is the biggest value? (a) i (b) -1/2 (c) -2/73 (d) 1/3
d
Let h be ((-10)/50 - 0) + -1. Which is the biggest value? (a) -0.1 (b) h (c) -0.4 (d) 1/2
d
Let z = -0.6 - 1.4. Let q = -2.5 - z. Let n = 108.4 + -109.4. Which is the biggest value? (a) n (b) -4 (c) q
c
Let k be 53/636*(-2 - 0). Which is the second smallest value? (a) k (b) -41.8 (c) -2
c
Let k = 3.53 - 3.492. What is the second biggest value in -5, -2/3, k?
-2/3
Suppose -5*u - 2 = 3*o - 0*u, -2*u = 2*o. Let y = -6 + 6.5. Which is the second biggest value? (a) 0.1 (b) y (c) 4/7 (d) o
c
Suppose -r = -2*r - 2*v - 5, 4*r = -5*v - 8. Let q = -2 + r. Let u = 223/21 + -31/3. Which is the smallest value? (a) u (b) 0.2 (c) q
b
Let o be (-10 - 591/(-63)) + 1/3. Let q = 7 + -1. Let x = -4 + q. Which is the third smallest value? (a) -2/9 (b) x (c) o
b
Suppose -4*s = 4*o + 12 - 36, -2*o - 9 = -5*s. What is the fourth smallest value in o, -13, 2, -3?
o
Let g be 1/(-6)*(-27)/18. Let z = 11.6 - 13. Let w = z + 0.7. What is the second biggest value in -2, g, w?
w
Let k be 4/14 + (-32)/14. Let r be -4*k/180*-3. Let s = -21 + 20.7. Which is the second smallest value? (a) r (b) -1/3 (c) s
c
Let w = 12.06 - 10.26. Which is the fourth smallest value? (a) 0.4 (b) 0.1 (c) w (d) -5
c
Let h be 3*(16/32 + 6/(-8)). Let g = 26 - 26.1. Suppose -4*x + 36 = 8. What is the biggest value in h, x, g?
x
Let g be 1/(-3)*-1 - 143/455. Which is the second biggest value? (a) -5 (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
root of 119453 to the nearest integer?
346
What is 529415 to the power of 1/3, to the nearest integer?
81
What is the cube root of 352819 to the nearest integer?
71
What is the cube root of 593447 to the nearest integer?
84
What is the fifth root of 204918 to the nearest integer?
12
What is 5928241 to the power of 1/3, to the nearest integer?
181
What is 265559 to the power of 1/3, to the nearest integer?
64
What is the cube root of 542214 to the nearest integer?
82
What is the seventh root of 114268 to the nearest integer?
5
What is the ninth root of 8504799 to the nearest integer?
6
What is the fourth root of 22113964 to the nearest integer?
69
What is the third root of 55003 to the nearest integer?
38
What is the square root of 5653233 to the nearest integer?
2378
What is 98553 to the power of 1/2, to the nearest integer?
314
What is the third root of 391640 to the nearest integer?
73
What is 439107 to the power of 1/2, to the nearest integer?
663
What is the cube root of 1561029 to the nearest integer?
116
What is the cube root of 1458737 to the nearest integer?
113
What is 3998462 to the power of 1/2, to the nearest integer?
2000
What is the square root of 6305651 to the nearest integer?
2511
What is the fifth root of 4727722 to the nearest integer?
22
What is 296092 to the power of 1/3, to the nearest integer?
67
What is the square root of 218001 to the nearest integer?
467
What is 2784644 to the power of 1/2, to the nearest integer?
1669
What is the fifth root of 11882384 to the nearest integer?
26
What is 863188 to the power of 1/8, to the nearest integer?
6
What is the sixth root of 4275486 to the nearest integer?
13
What is 657101 to the power of 1/5, to the nearest integer?
15
What is 10366976 to the power of 1/3, to the nearest integer?
218
What is the third root of 12525226 to the nearest integer?
232
What is 4813388 to the power of 1/6, to the nearest integer?
13
What is the third root of 1611437 to the nearest integer?
117
What is the cube root of 2373030 to the nearest integer?
133
What is the ninth root of 3487536 to the nearest integer?
5
What is the cube root of 283660 to the nearest integer?
66
What is the cube root of 1274553 to the nearest integer?
108
What is the square root of 38305 to the nearest integer?
196
What is the third root of 11489857 to the nearest integer?
226
What is 112082 to the power of 1/2, to the nearest integer?
335
What is the square root of 176238 to the nearest integer?
420
What is 312639 to the power of 1/4, to the nearest integer?
24
What is 6675934 to the power of 1/2, to the nearest integer?
2584
What is 18035507 to the power of 1/3, to the nearest integer?
262
What is 5707965 to the power of 1/9, to the nearest integer?
6
What is 3385651 to the power of 1/2, to the nearest integer?
1840
What is 609659 to the power of 1/2, to the nearest integer?
781
What is 622230 to the power of 1/3, to the nearest integer?
85
What is 317396 to the power of 1/10, to the nearest integer?
4
What is the cube root of 109197 to the nearest integer?
48
What is the sixth root of 333264 to the nearest integer?
8
What is 298560 to the power of 1/8, to the nearest integer?
5
What is the cube root of 56554 to the nearest integer?
38
What is the sixth root of 1663581 to the nearest integer?
11
What is 1189634 to the power of 1/6, to the nearest integer?
10
What is 5267994 to the power of 1/2, to the nearest integer?
2295
What is 1920897 to the power of 1/3, to the nearest integer?
124
What is the cube root of 2974590 to the nearest integer?
144
What is 47146 to the power of 1/2, to the nearest integer?
217
What is the fifth root of 2405703 to the nearest integer?
19
What is the cube root of 321719 to the nearest integer?
69
What is 1675109 to the power of 1/3, to the nearest integer?
119
What is 3728450 to the power of 1/3, to the nearest integer?
155
What is 970769 to the power of 1/3, to the nearest integer?
99
What is the square root of 1451580 to the nearest integer?
1205
What is the fifth root of 745671 to the nearest integer?
15
What is the square root of 14113595 to the nearest integer?
3757
What is the square root of 3336992 to the nearest integer?
1827
What is the fifth root of 61932 to the nearest integer?
9
What is the square root of 9190352 to the nearest integer?
3032
What is 14887756 to the power of 1/9, to the nearest integer?
6
What is 659005 to the power of 1/3, to the nearest integer?
87
What is 608218 to the power of 1/3, to the nearest integer?
85
What is 102755 to the power of 1/2, to the nearest integer?
321
What is 4283347 to the power of 1/2, to the nearest integer?
2070
What is the fourth root of 10915787 to the nearest integer?
57
What is 6664982 to the power of 1/6, to the nearest integer?
14
What is the square root of 7258762 to the nearest integer?
2694
What is 4601685 to the power of 1/5, to the nearest integer?
22
What is 7431619 to the power of 1/9, to the nearest integer?
6
What is the third root of 690237 to the nearest integer?
88
What is the eighth root of 1125323 to the nearest integer?
6
What is the square root of 121844 to the nearest integer?
349
What is 1142184 to the power of 1/6, to the nearest integer?
10
What is 4935858 to the power of 1/5, to the nearest integer?
22
What is 2016959 to the power of 1/5, to the nearest integer?
18
What is 1892451 to the power of 1/3, to the nearest integer?
124
What is 355976 to the power of 1/2, to the nearest integer?
597
What is the third root of 616739 to the nearest integer?
85
What is 17500745 to the power of 1/2, to the nearest integer?
4183
What is the ninth root of 13200009 to the nearest integer?
6
What is 3323644 to the power of 1/2, to the nearest integer?
1823
What is 33911594 to the power of 1/2, to the nearest integer?
5823
What is the ninth root of 23313337 to the nearest integer?
7
What is 25603299 to the power of 1/2, to the nearest integer?
5060
What is the seventh root of 239977 to the nearest integer?
6
What is 291654 to the power of 1/6, to the nearest integer?
8
What is the ninth root of 254715 to the nearest integer?
4
What is the cube root of 1357773 to the nearest integer?
111
What is the sixth root of 1887573 to the nearest integer?
11
What is 363942 to the power of 1/4, to the nearest integer?
25
What is the cube root of 86190 to the nearest integer?
44
What is the third root of 31732 to the nearest integer?
32
What is the fifth root of 10259597 to the nearest integer?
25
What is the cube root of 27839423 to the nearest integer?
303
What is the cube root of 2552127 to the nearest integer?
137
What is 3030606 to the power of 1/5, to the nearest integer?
20
What is the square root of 390588 to the nearest integer?
625
What is 8661214 to the power of 1/3, to the nearest integer?
205
What is the ninth root of 15655864 to the nearest integer?
6
What is the seventh root of 108606 to the nearest integer?
5
What is the square root of 6372929 to the nearest integer?
2524
What is 8564579 to the power of 1/7, to the nearest integer?
10
What is the eighth root of 230180 to the nearest integer?
5
What is the cube root of 19765551 to the nearest integer?
270
What is the third root of 4533502 to the nearest integer?
166
What is 157606 to the power of 1/3, to the nearest integer?
54
What is the cube root of 4504550 to the nearest integer?
165
What is 6654394 to the power of 1/2, to the nearest integer?
2580
What is the cube root of 216343 to the nearest integer?
60
What is the fifth root of 8348326 to the nearest integer?
24
What is the ninth root of 323497 to the nearest integer?
4
What is 681963 to the power of 1/2, to the nearest integer?
826
What is 553358 to the power of 1/2, to the nearest integer?
744
What is the cube root of 3666334 to the nearest integer?
154
What is 318053 to the power of 1/3, to the nearest integer?
68
What is the square root of 26254129 to the nearest integer?
5124
What is 806085 to the power of 1/2, to the nearest integer?
898
What is the third root of 672711 to the nearest integer?
88
What is the third root of 1492391 to the nearest integer?
114
What is 201292 to the power of 1/5, to the nearest integer?
12
What is the cube root of 154907 to the nearest integer?
54
What is the ninth root of 31633
|
{
"pile_set_name": "DM Mathematics"
}
|
6 and -244?
278.7439955606
What is 379 + 28851.09874?
29230.09874
-1651499+-160.471
-1651659.471
-155580327655+6
-155580327649
1216185679160 + -10
1216185679150
4396348115118+-1.5
4396348115116.5
Put together 0.4 and 549351.270373.
549351.670373
Calculate -307 - 987378501.
-987378808
Put together 316902 and 33.4642.
316935.4642
Calculate 0.3 + 238282997817.
238282997817.3
What is the difference between -25808930.5 and -0.04699?
25808930.45301
2.66 - 229.90825475
-227.24825475
Work out 0 + -3504577030076.
-3504577030076
Calculate -1684808454 + -31.
-1684808485
What is 1.3829 less than -40855677?
-40855678.3829
What is 1500470 minus 147465870?
-145965400
What is 43263602009327 + -4?
43263602009323
Calculate 0.061 + 4577335320.1.
4577335320.161
Calculate -43338231714 + -34.
-43338231748
Subtract -759566726286 from 0.504.
759566726286.504
What is -0.4274 take away 488272.09569?
-488272.52309
What is 18.1480970327 less than 0.06?
-18.0880970327
Work out 8986757 + -1264.
8985493
What is 25953342775471 plus 0.04?
25953342775471.04
What is the difference between -103261277.3228 and -5?
103261272.3228
Sum -24986 and -204408035.
-204433021
Calculate -647.4 + 3886024.443.
3885377.043
What is -1623522187958 - -0.036?
-1623522187957.964
233567 + 89259
322826
What is -2617931300 less than -282056?
2617649244
What is 18332369166 plus 2?
18332369168
Work out -813171100105 - 59.
-813171100164
Work out -1 + -96695781292.1.
-96695781293.1
What is the difference between 166594.6 and -1901047?
2067641.6
Subtract -1389592 from 54604.8.
1444196.8
7629 + 0.139896972744
7629.139896972744
Work out -82783.9 - -1035952.
953168.1
What is 29263 less than -1029475?
-1058738
What is 209418552479 take away 11?
209418552468
What is -200418 plus -0.09050965?
-200418.09050965
Total of 0.17799 and 3599352.89.
3599353.06799
Sum -8815426120 and 1413.
-8815424707
Put together -0.03015 and 2813225.
2813224.96985
Put together -66698653 and 582337.
-66116316
What is 20102134701 less than -10.6?
-20102134711.6
What is 3 plus -1817770673.45?
-1817770670.45
What is -2 minus 14315.5834287?
-14317.5834287
What is 48 plus -72.85326457?
-24.85326457
What is the difference between -459232494.978 and 0?
459232494.978
What is -0.03 + 6219754436?
6219754435.97
Subtract -2321 from -6454692785.
-6454690464
Add together -684.5 and 1962565381.
1962564696.5
What is the difference between 69576561 and 1.09605?
69576559.90395
Sum -2.5 and -1973515125607.
-1973515125609.5
Subtract -702842556 from 0.710858.
702842556.710858
Work out 0.0449 + 13.9893288.
14.0342288
641698760974+-1
641698760973
Total of 33679.6 and -0.565969.
33679.034031
Work out -335764 - -258.837.
-335505.163
-604783 + 377707282
377102499
What is -1368056317 take away 0.025?
-1368056317.025
10.8665+12379933
12379943.8665
Calculate -18837 - -911416886.
911398049
Work out -998630361 - -0.046731.
-998630360.953269
What is -40.75 minus 12755223.43?
-12755264.18
21999+-20260.14141
1738.85859
What is the distance between 0.03 and 12982835256697?
12982835256696.97
What is 0 plus 216588104062.636?
216588104062.636
-872465324019+-4.98
-872465324023.98
Put together -30 and 476498836.
476498806
What is 4971064149 + 0.8718?
4971064149.8718
What is 1 take away -7182586145727?
7182586145728
Add 71807927759 and 1026.
71807928785
What is -86799155 plus -11.053?
-86799166.053
Calculate -1439255895 + -1.2.
-1439255896.2
What is the difference between -0.004 and -85145.036441?
85145.032441
-0.24 - 20571219874
-20571219874.24
Calculate -68.61 + 0.28435805.
-68.32564195
What is 62.303583 + -203723?
-203660.696417
Calculate 0.06501137196 + -0.07.
-0.00498862804
Add 57.608724033 and 6858.
6915.608724033
What is -0.0512546 - 304.214?
-304.2652546
Add -47785449 and 31077.
-47754372
Subtract 42711.34998 from -8612.
-51323.34998
What is the distance between 52409600684 and -0.8?
52409600684.8
What is -38882953191302.9 + 0.3?
-38882953191302.6
Calculate -7908.6283524736 - -0.4.
-7908.2283524736
What is the difference between -0.945 and -1.4275645882?
0.4825645882
What is 3137664472 - 8642?
3137655830
84047 - 1326612313
-1326528266
Subtract -105441 from 4366.69.
109807.69
Subtract -11124 from 5390564123.
5390575247
What is -880.65169008308 plus -0.2?
-880.85169008308
What is -0.09 less than -17868352088666?
-17868352088665.91
What is -3.083 + -20992854?
-20992857.083
Work out -0.19603441 + -1041292.
-1041292.19603441
What is 51178525557 less than -1876?
-51178527433
-37 - 25781179513
-25781179550
What is 8 - -70562683258?
70562683266
Add 6 and -0.000987809784.
5.999012190216
Add -278716 and 27.67404.
-278688.32596
What is -0.0925 plus -3497473078?
-3497473078.0925
What is 596956 less than 33.33763?
-596922.66237
What is the difference between 4414 and -0.5916661734?
4414.5916661734
What is 0.5673659 less than -0.04861?
-0.6159759
What is 19145046163163 less than -0.2?
-19145046163163.2
What is 172282 take away -31592375?
31764657
Work out 52033042 + -0.3562.
52033041.6438
What is the difference between 2.81451 and -1234240333?
1234240335.81451
What is -0.5 take away 14442002.8636?
-14442003.3636
Subtract 3.4 from -12050254826.
-12050254829.4
What is -0.134256594821 - 21.8?
-21.934256594821
What is 1221551 less than -2738590?
-3960141
What is 1.734187 plus 0.7375659?
2.4717529
What is 446956.279 take away -1821808?
2268764.279
Subtract 3220256559300 from 3.
-3220256559297
What is -5 less than -2572898912530?
-2572898912525
Sum -6362467574.9419 and -0.5.
-6362467575.4419
Subtract -48 from -7561839758.6.
-7561839710.6
Calculate -1726.299739064 + -13.
-1739.299739064
Sum 0.088354 and -87201.
-87200.911646
-122240416394 - -0.3
-122240416393.7
Calculate -738615483403 - 0.27.
-738615483403.27
Add -28402931 and 191534.
-28211397
0.3714814 - 1402
-1401.6285186
What is 232992.21626005 take away 1?
232991.21626005
What is the difference between -24697246 and 0.15663?
24697246.15663
-65.313046639 - -0.4
-64.913046639
Calculate -0.4 - -4611867342.08.
4611867341.68
What is 269 plus -2162.673495?
-1893.673495
393 + -24023586727
-24023586334
1164939 - 1495316
-330377
What is -135 plus -42985.1409?
-43120.1409
Calculate 437 - -0.1384957456.
437.1384957456
126214266241 + 58.5
126214266299.5
What is the distance between 161891 and -24030.9?
185921.9
What is 409 plus 7977504320?
7977504729
What is the distance between 51085 and 39490425?
39439340
Add 0.158534503 and -562520.
-562519.841465497
Calculate -0.5 + -23794485271.09.
-23794485271.59
What is -19151424447 plus 0.3?
-19151424446.7
Add -64093.1 and -506949.
-571042.1
What is 0.4 + -4985848830095?
-4985848830094.6
Put together 1670731 and -111875247.
-110204516
What is 609969 take away -2861.0342?
612830.0342
What is -38686.8493166 - 142?
-38828.8493166
4749.9137477357 + 0
4749.9137477357
Total of 551124968 and -40.3.
551124927.7
Subtract 266.09 from -509960086.
-509960352.09
What is 0.53118761061 - -8?
8.53118761061
What is -9006768239 minus -5?
-9006768234
Put together 4 and -45126427592733.
-45126427592729
Work out -73.927 - -400262.
400188.073
What is 571619653 - -38.86?
571619691.86
What is -79.6 minus 11643827216?
-11643827295.6
Subtract -77.162798 from -12816.48.
-12739.317202
Total of -50.4 and -2890819031.
-2890819081.4
What is -10526227 plus 1160956?
-9365271
3231831 + -1165174
2066657
-0.05546425 + -0.109604
-0.16506825
Total of 2101815269720 and 1.5.
2101815269721.5
What is the distance between -45973.55040134 and -0.2?
45973.35040134
Work out 293803.942927 + -5.4.
293798.542927
What is the distance between -0.5 and 780923155539?
780923155539.5
What is -271 plus 10.643943907?
-260.356056093
What is -4 - -0.480281119483?
-3.519718880517
3123641163+1.659
3123641164.659
Calculate -497.9 + -14046244.
-14046741.9
-40.3+585707087
585707046.7
-38864.0615+-3898
-42762.0615
What is 1136 + 33157312543?
33157313679
-0.0664+-8916790.82298
-8916790.88938
Sum -5180538201791 and 24.
-5180538201767
Sum 1718787200 and 0.1.
1718787200.1
Calculate -38.3 - 2162.1437333.
-2200.4437333
Work out 781.865471 + 15.
796.865471
What is 98108764663 minus -0.6?
98108764663.6
Work out 830 - -6535291.728.
6536121.728
Calculate -555.98 + 819672.
819116.02
Add together -0.3 and 591676.3962.
591676.0962
-255271663 - -6994
-255264669
Subtract -3.0041
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Let g(k) = 8*k. Let n(v) = -57*v. Let y(b) = 15*g(b) + 2*n(b). Let j(r) = -2*r**2. Give j(y(q)).
-72*q**2
Let c(p) = 2*p**2. Let y(i) be the third derivative of -i**4 - 12*i**2. What is y(c(u))?
-48*u**2
Let d(q) = 10*q**2. Let k(n) = -2*n + 1. What is d(k(l))?
40*l**2 - 40*l + 10
Let o(p) = -2*p**2. Suppose -3*h = 2*u + 6, -4*u + 23 = -5*h - 3*u. Let k(t) = 25*t + 9. Let i(m) = -12*m - 4. Let f(q) = h*k(q) - 9*i(q). Calculate f(o(w)).
-16*w**2
Let d(t) = -t + 11. Let p(j) = -5*j. What is d(p(c))?
5*c + 11
Let f(o) = 8*o - 6. Let d(x) = 14*x - 11. Let t(w) = -6*d(w) + 11*f(w). Let n(i) = -11*i**2. Determine t(n(b)).
-44*b**2
Let b(r) = -2*r - 2. Let w(v) be the third derivative of -v**4/12 - 45*v**2. Determine b(w(j)).
4*j - 2
Let o(q) = 80*q. Let t(j) = -8*j**2. What is t(o(c))?
-51200*c**2
Let v(d) = -4*d + 3*d + 0*d - 4*d. Let o(j) = -j**2. What is o(v(q))?
-25*q**2
Let a(p) = 2*p**2 + 3*p**2 + 7*p - 7*p. Let n(y) = 4*y**2. What is a(n(s))?
80*s**4
Let i(w) = -3*w**2 + 1 - 1. Let b(c) = 13*c - 9. Let s(v) = -6*v + 4. Let t(p) = 4*b(p) + 9*s(p). Determine i(t(u)).
-12*u**2
Let o(k) = 44*k. Let v(q) = 6*q + 1. Give v(o(x)).
264*x + 1
Let s(i) = i**2. Let k(o) = -17*o**2 + 4*o - 4. Let z(c) = -c + 1. Let q(d) = -3*k(d) - 12*z(d). Determine q(s(t)).
51*t**4
Let j(q) = -q**2. Suppose 6*d = 2*d. Let l(u) = -u**2 - 6*u - 2. Let a be l(-5). Let z(v) = a*v + v**2 - 3*v + d*v**2. What is z(j(n))?
n**4
Let d(h) = -8*h**2 + 3*h. Let n(t) = 7*t**2 - 4*t. Let z(b) = 4*d(b) + 3*n(b). Let w(x) = x**2. Determine w(z(s)).
121*s**4
Let y(c) = -8*c. Let l(k) = -k**2 + k + 1. Let o(w) = -4*w**2 + 3*w + 3. Let p(m) = 6*l(m) - 2*o(m). Calculate p(y(t)).
128*t**2
Let j(f) = 2*f**2. Let b(c) = 2*c + 384. Calculate j(b(v)).
8*v**2 + 3072*v + 294912
Let s(u) = 3*u. Suppose -3*d + d + 2 = 0, 2*d = -5*p + 17. Let o(k) = p*k - 3*k + 11*k**2 - 10*k**2. Give s(o(w)).
3*w**2
Let l(d) be the second derivative of d**4/12 + 16*d. Suppose 0 = -2*t + 8 + 4. Let o(a) = -a + 4*a + t*a. Give l(o(u)).
81*u**2
Let h(a) = 2*a. Let k(z) = 14*z - 5. Let b(v) = -22*v + 8. Let j(n) = 5*b(n) + 8*k(n). Give j(h(o)).
4*o
Let b(m) = 77*m. Let w(f) = 5*f + 7. Let r(s) = -2*s - 3. Let d(k) = -14*r(k) - 6*w(k). What is b(d(z))?
-154*z
Let l(w) be the third derivative of -w**5/60 + 4*w**2. Let r(m) = -9*m**2 + 11*m. Let b(o) = -5*o**2 + 6*o. Let x(c) = 11*b(c) - 6*r(c). Determine x(l(t)).
-t**4
Let c(p) = -4*p. Let o(r) = -2*r**2 + 373*r. Give c(o(v)).
8*v**2 - 1492*v
Let z(b) = 37*b. Let i(t) = -6*t. Give i(z(n)).
-222*n
Let s(r) = 30*r**2. Let y(j) = -12*j**2 - 1. Calculate s(y(a)).
4320*a**4 + 720*a**2 + 30
Suppose -5*n + 30 = 5*a, 2*a - 2 = -0. Let j(w) = -2*w + 3. Let g(z) = 5*z - 5. Let t(x) = n*j(x) + 3*g(x). Let r(c) = 2*c. Determine r(t(l)).
10*l
Let d(t) = -5*t**2 + t**2 + 2*t**2. Let x(n) = -14 + 5*n**2 + 14 - 19*n**2. What is d(x(m))?
-392*m**4
Let z(g) = 7*g**2. Let m(a) = -11*a**2. Calculate z(m(i)).
847*i**4
Let x(y) = 10*y - 10*y - 5*y**2 + 8*y**2. Let m(s) = 10*s. What is m(x(h))?
30*h**2
Let w(x) = -2*x**2. Let c(r) = -2*r - 65. Give c(w(k)).
4*k**2 - 65
Let y(c) = -2*c. Let a(m) = -12*m + 3. Let q(o) = -17*o + 5. Let z(w) = 33*w - 10. Let i(r) = -13*q(r) - 6*z(r). Let s(n) = 5*a(n) + 3*i(n). Calculate s(y(j)).
-18*j
Let g(h) = -4*h**2 + 6. Let i(l) = 3*l**2 - 5. Let k(p) = 5*g(p) + 6*i(p). Let y(z) = 29*z**2. Calculate k(y(v)).
-1682*v**4
Let q(t) = -t**2. Let y(d) = -12*d + 27*d - 10*d. Determine q(y(w)).
-25*w**2
Let s(p) = p - 4. Let n(l) = -33*l. What is s(n(a))?
-33*a - 4
Let n(t) = 13*t. Let c(k) = 7*k + 5. What is c(n(l))?
91*l + 5
Let x(u) be the second derivative of u**3/6 + 12*u. Let n(k) = -k - k + k + 0. Determine n(x(j)).
-j
Let a(b) = -7*b**2 - 6*b. Let g(i) = i**2 + i. Let m(x) = a(x) + 6*g(x). Let k(p) = 6*p**2 - 3*p**2 + 2*p**2. Determine k(m(h)).
5*h**4
Let t(i) = -9*i**2 - 11*i + 11. Let u(x) = -3*x**2 - 4*x + 4. Let r(p) = 4*t(p) - 11*u(p). Let w(d) = 2*d. Give r(w(o)).
-12*o**2
Let y(c) = -c. Let x(i) = -2*i - 15876. What is y(x(b))?
2*b + 15876
Let i(m) be the first derivative of m**4/12 - 5*m**2/2 - 1. Let q(j) be the second derivative of i(j). Let d(p) = 0*p - 2*p + 7*p. Determine d(q(s)).
10*s
Let t(z) = -z - 1. Let m(v) = 4*v. What is m(t(w))?
-4*w - 4
Let q(f) = 18*f**2. Let k(d) = -8*d**2. What is k(q(z))?
-2592*z**4
Let b(w) = -1531*w. Let j(r) = 2*r. What is b(j(s))?
-3062*s
Let d(h) = -13*h. Let p(x) = -4*x**2 + 18*x. Calculate d(p(i)).
52*i**2 - 234*i
Let p(z) = 8*z. Let x(d) = -15*d**2 + 11*d + 11. Let c(g) = 8*g**2 - 6*g - 6. Let w(t) = -11*c(t) - 6*x(t). Determine p(w(r)).
16*r**2
Let k(j) be the third derivative of -j**4/24 + j**2. Let x = 54 - -49. Let l(d) = 103 - x + d**2. Determine l(k(y)).
y**2
Let i(d) = -3 - 67*d + 3 + 63*d. Let h(v) = v**2. Calculate i(h(x)).
-4*x**2
Let h(i) = 4*i. Let v(b) = 2*b**2 - 15. Calculate v(h(y)).
32*y**2 - 15
Let b(r) = 6*r**2. Let i be (-412)/(-10)*(-15)/(-6). Let m(l) = i - l - 103. What is b(m(w))?
6*w**2
Let d(r) = 113*r - 7. Let b(j) = 38*j - 2. Let n(z) = -7*b(z) + 2*d(z). Let g(k) = -2*k. Give n(g(p)).
80*p
Let m(s) = -2*s**2 + 2*s. Let p(j) = 4*j**2 - 5*j. Let k(u) = -5*m(u) - 2*p(u). Let d(v) = 85*v - 32*v - 30*v - 27*v. Give d(k(t)).
-8*t**2
Let z(o) = -25*o. Let v(l) = 173*l. Calculate v(z(s)).
-4325*s
Let q(n) = -2*n**2. Let y(f) = 1521*f. Calculate q(y(z)).
-4626882*z**2
Let y(u) = 7*u - 23*u - 17*u. Let v(x) = 2*x**2. Determine v(y(d)).
2178*d**2
Let s(x) be the first derivative of -x**2 - 3. Let w(u) be the first derivative of u**2 - 4. What is s(w(g))?
-4*g
Let b(s) be the second derivative of -s**3/3 - 2*s. Let x(p) = 0*p - p - 2*p + 5*p. Calculate x(b(m)).
-4*m
Let k(f) be the first derivative of -f**2/2 + 2. Let d(h) = 2*h**2. Give k(d(t)).
-2*t**2
Let k(w) be the second derivative of -5*w**3/6 + 2*w. Let i(q) = -3 + 5*q + 3 - 4*q. Give k(i(n)).
-5*n
Let j(u) = -u. Let y(p) = 8*p. Let o(l) = 30*j(l) + 5*y(l). Let g(z) = -2*z. Give g(o(s)).
-20*s
Let q(s) = -40*s. Let i(t) = -184*t. What is q(i(a))?
7360*a
Let p(j) = -2*j**2. Let f(d) = -5*d - 12. What is p(f(c))?
-50*c**2 - 240*c - 288
Let r(v) = 53*v. Let c(y) = -36*y**2. Give c(r(i)).
-101124*i**2
Let o(k) = -k**2. Let a(d) = 15*d - 27. What is o(a(p))?
-225*p**2 + 810*p - 729
Let k(p) = -p**2. Let r(q) = -q + 1. Let g(o) = 7*o - 4. Let y(w) = 3*g(w) + 12*r(w). What is k(y(i))?
-81*i**2
Let p(h) = -785*h. Let n(t) = 2*t. What is n(p(s))?
-1570*s
Let r(x) be the third derivative of x**5/20 - 30*x**2. Let f(a) = -3*a**2. Determine r(f(v)).
27*v**4
Let l(a) = -a - 4*a + 2*a. Let u(r) be the second derivative of r**4/12 - 9*r. Determine l(u(k)).
-3*k**2
Let r(c) = -c**2. Let i = 13 + -55. Let o be i/(4/(-2) - -1). Let g(p) = p + o - 42 + 3*p. What is r(g(x))?
-16*x**2
Let t(g) be the first derivative of -5*g**3/3 + 1. Suppose w + 0 - 4 = 0. Let u(k) = -w*k**2 + 3*k**2 + 3*k**2 + 0*k**2. Give u(t(m)).
50*m**4
Let b(p) = p. Let u(i) = -2116*i**2. What is b(u(r))?
-2116*r**2
Let t(y) = 2*y**2. Let g(w) = -814*w. Calculate g(t(n)).
-1628*n**2
Let u(n) = n**2. Let l(p) = -p**2 + 2*p + 2. Let j(f) = 2*f**2 - 7*f - 6 + f**2 - 1. Let z(y) = 2*j(y) + 7*l(y). Calculate u(z(g)).
g**4
Let a(t) = -21*t**2 + 18*t - 36. Let q(y) = -y**2 + y - 2. Let d(j) = a(j) - 18*q(j). Let i(c) = 23*c. Determine d(i(h)).
-1587*h**2
Let i(l) be the first derivative of -l**2/2 - 2*l + 1. Let p(s) = -s - 5. Let b(x) = 5*i(x) - 2*p(x). Let k(u) = 3*u**2 - 9*u + 9*u. Calculate k(b(y)).
27*y**2
Let x(q) = -21*q. Let r(s) = -s**2. What is r(x(a))?
-441*a**2
Let d(q) = 57*q**2 - q. Let l(m) = 20*m. Determine l(d(a)).
1140*a**2 - 20*a
Let s(p) be the second derivative of -8*p**4/3 - 17*p. Let x(o) = 3*o**2. Calculate x(s(m)).
3072*m**4
Let n(c) be the first derivative of -5 + 0*c**2 + 0*c - 2/3*c**3. Let x(l) = 2*l**2. Determine n(x(d)).
-8*d**4
Let g(q) = q + 20. Let d(p) = 36*p**2. Determine g(d(a)).
36*a**2 + 20
Let i(v) be the third derivative of 0*v**4 + 0*v + 0*v**3 + 0 - v**2 - 1/30*v**5. Let r(m) = -5*m**2. Give r(i(h)).
-20*h**4
Let p(o) be the third derivative of 0*o + 0*o**3 - 2*o**2 + 0 - 1/30*o**5 + 0*o**4. Let h(s) be the third derivative of -s**5/60 + 3*s**2. What is p(h(x))?
-2*x**4
Let r(d) = 3*d. Let c(s) = -45*s. Calculate c(r(l)).
-135*l
Let n(h) =
|
{
"pile_set_name": "DM Mathematics"
}
|
m {m: 2, a: 2, p: 3, v: 2}. What is prob of picking 1 v, 1 m, and 1 p?
1/7
Three letters picked without replacement from urorrrorrorrou. What is prob of picking 1 r and 2 u?
2/91
Calculate prob of picking 1 r and 1 e when two letters picked without replacement from vvrppervrvp.
3/55
Calculate prob of picking 2 i when two letters picked without replacement from {i: 4}.
1
What is prob of picking 3 f when three letters picked without replacement from {f: 7, a: 1, g: 3, v: 3}?
5/52
What is prob of picking 1 h and 2 v when three letters picked without replacement from {h: 11, m: 2, v: 2}?
11/455
Four letters picked without replacement from {y: 1, o: 4, t: 7, n: 4, z: 3}. What is prob of picking 1 y, 1 n, and 2 z?
1/323
What is prob of picking 2 a when two letters picked without replacement from vavawvvvvaawvvav?
1/12
Two letters picked without replacement from {h: 1, u: 2}. Give prob of picking 2 u.
1/3
Calculate prob of picking 3 d when three letters picked without replacement from ddddddkkdkddddd.
44/91
Calculate prob of picking 1 z and 3 i when four letters picked without replacement from vnizzllnlzvzzzlzlnzm.
0
What is prob of picking 1 g, 1 b, and 1 h when three letters picked without replacement from ggigiignzzhgiibnggi?
7/969
Calculate prob of picking 2 r, 1 s, and 1 q when four letters picked without replacement from ooorhrvrhsq.
1/110
What is prob of picking 3 c and 1 v when four letters picked without replacement from vvcccvcc?
3/7
Three letters picked without replacement from mmyqygmomgymgmwomg. What is prob of picking 2 y and 1 q?
1/272
Four letters picked without replacement from eeaaaee. Give prob of picking 3 a and 1 e.
4/35
Two letters picked without replacement from glggggelkggk. What is prob of picking 1 l and 1 e?
1/33
Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvvvvvvvpvvvv.
17/19
Four letters picked without replacement from {h: 3, u: 7, a: 3}. Give prob of picking 2 a, 1 u, and 1 h.
63/715
Calculate prob of picking 1 w, 2 c, and 1 m when four letters picked without replacement from {m: 2, r: 1, c: 10, w: 1}.
90/1001
Calculate prob of picking 1 s, 1 x, and 1 t when three letters picked without replacement from txxzxxst.
1/7
What is prob of picking 1 a and 1 e when two letters picked without replacement from {d: 5, j: 4, a: 7, e: 2}?
14/153
Four letters picked without replacement from {d: 5}. What is prob of picking 4 d?
1
Three letters picked without replacement from ezllezze. Give prob of picking 3 e.
1/56
Four letters picked without replacement from {r: 2, v: 1, c: 10, j: 1, b: 2, d: 2}. What is prob of picking 1 r, 1 c, 1 j, and 1 b?
2/153
Three letters picked without replacement from oooagooaanaaooao. What is prob of picking 1 g and 2 o?
1/20
Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {n: 1, s: 2, j: 1, z: 1}.
1/10
Two letters picked without replacement from ddqddq. Give prob of picking 1 d and 1 q.
8/15
Four letters picked without replacement from gggggggggggwwgwgwggg. Give prob of picking 1 g and 3 w.
64/4845
What is prob of picking 1 i and 3 s when four letters picked without replacement from {i: 7, w: 3, z: 4, s: 4}?
7/765
Four letters picked without replacement from {s: 2, v: 3, e: 4, x: 1}. What is prob of picking 3 e and 1 x?
2/105
Four letters picked without replacement from zzzzzzzczckczzccz. What is prob of picking 1 k and 3 z?
33/476
Three letters picked without replacement from {q: 2, i: 1, v: 6, z: 1, h: 2}. Give prob of picking 2 v and 1 q.
3/22
What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkkk?
1
Calculate prob of picking 3 g and 1 t when four letters picked without replacement from {o: 4, c: 1, t: 2, b: 1, f: 2, g: 5}.
4/273
What is prob of picking 3 u when three letters picked without replacement from {u: 2, j: 2}?
0
Four letters picked without replacement from utggt. What is prob of picking 2 g and 2 t?
1/5
What is prob of picking 1 v and 2 g when three letters picked without replacement from {g: 2, v: 5}?
1/7
Two letters picked without replacement from {i: 3, p: 5}. Give prob of picking 1 i and 1 p.
15/28
Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {j: 6, q: 1, u: 1, c: 2, r: 3}.
15/286
Calculate prob of picking 2 x and 1 q when three letters picked without replacement from {q: 13, x: 6}.
65/323
What is prob of picking 1 o, 1 d, 1 u, and 1 m when four letters picked without replacement from momtudeo?
2/35
Calculate prob of picking 1 x, 1 k, and 2 n when four letters picked without replacement from hxhhkfnhhhqhnh.
1/1001
Four letters picked without replacement from {c: 1, u: 1, n: 1, j: 1, m: 1}. What is prob of picking 2 u and 2 m?
0
Three letters picked without replacement from {h: 1, v: 4, p: 5, k: 1, r: 1}. What is prob of picking 1 v and 2 p?
2/11
Calculate prob of picking 1 s and 1 o when two letters picked without replacement from cottshs.
2/21
Three letters picked without replacement from mmmmmmmmmm. What is prob of picking 3 m?
1
Calculate prob of picking 1 g, 1 p, and 1 k when three letters picked without replacement from ppkjkjejjlekpjjge.
9/680
Three letters picked without replacement from {q: 1, c: 1, x: 2, p: 4, g: 3}. What is prob of picking 2 c and 1 q?
0
Calculate prob of picking 1 k and 1 i when two letters picked without replacement from kiiiiiikikiiii.
33/91
Two letters picked without replacement from {x: 1, b: 1, a: 2, d: 1}. What is prob of picking 1 d and 1 b?
1/10
What is prob of picking 2 q when two letters picked without replacement from {v: 1, q: 12}?
11/13
Four letters picked without replacement from {j: 6, w: 4, a: 2}. What is prob of picking 4 w?
1/495
What is prob of picking 1 y and 1 b when two letters picked without replacement from {b: 3, f: 4, y: 2}?
1/6
Four letters picked without replacement from jqjjqqmqixxbjxjj. What is prob of picking 3 j and 1 x?
3/91
What is prob of picking 2 j when two letters picked without replacement from vvjsjjssvjjvjj?
3/13
Calculate prob of picking 1 j and 3 r when four letters picked without replacement from {j: 10, r: 9}.
70/323
What is prob of picking 2 u, 1 v, and 1 k when four letters picked without replacement from {k: 1, v: 2, u: 7, b: 2}?
14/165
Two letters picked without replacement from vbbqbzbmqbqzzmozmomb. Give prob of picking 1 z and 1 m.
8/95
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fbvfbbffvfbbvv.
25/91
Four letters picked without replacement from {i: 1, s: 2, k: 11}. Give prob of picking 1 s and 3 k.
30/91
Three letters picked without replacement from xlddeljlljxx. Give prob of picking 1 d and 2 x.
3/110
What is prob of picking 2 u and 1 l when three letters picked without replacement from uunnllluuuul?
3/11
What is prob of picking 1 b, 1 e, and 2 s when four letters picked without replacement from {a: 2, b: 1, e: 1, s: 1, g: 1, j: 1}?
0
Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, h: 5, a: 1}.
7/26
Two letters picked without replacement from {i: 2, m: 3, p: 4, o: 1}. Give prob of picking 2 m.
1/15
Calculate prob of picking 1 i and 2 g when three letters picked without replacement from mgmimiiiigmiiiimgmg.
18/323
Four letters picked without replacement from zmmmczczmzmczcczmcz. Give prob of picking 1 z and 3 c.
35/969
Three letters picked without replacement from {e: 1, b: 2, w: 4}. What is prob of picking 1 e and 2 b?
1/35
Three letters picked without replacement from {w: 2, h: 3}. Give prob of picking 1 h and 2 w.
3/10
Two letters picked without replacement from {j: 1, o: 2, d: 1, f: 3}. Give prob of picking 2 o.
1/21
What is prob of picking 1 w and 1 j when two letters picked without replacement from jjgwggwggwowwowwjj?
28/153
Calculate prob of picking 1 z and 3 l when four letters picked without replacement from {t: 2, z: 3, m: 2, j: 2, p: 2, l: 5}.
3/182
What is prob of picking 2 t and 1 r when three letters picked without replacement from dtdhddhrdadaaadt?
1/560
What is prob of picking 1 z and 1 g when two letters picked without replacement from zyzmzzpgyzgzznzzzz?
22/153
What is prob of picking 1 r and 3 f when four letters picked without replacement from {r: 7,
|
{
"pile_set_name": "DM Mathematics"
}
|
7 - 59412.
-92*h**3
Collect the terms in 7305*p - 21 - 3522*p - 3781*p.
2*p - 21
Collect the terms in 194*f**3 + 223*f**3 + 183*f**3 - 624*f**3.
-24*f**3
Collect the terms in -16 + 3 - 51*p**3 + 13 + 17*p**2 - 42*p**3 - 6*p**2 + 90*p**3.
-3*p**3 + 11*p**2
Collect the terms in 0 - 35577711*o + 0 + 4304672*o.
-31273039*o
Collect the terms in 8*g - 8*g + 9*g + 0*g - 19*g + 10.
-10*g + 10
Collect the terms in -91*j**2 - 241 + 3*j**3 + 307*j - 307*j + 241.
3*j**3 - 91*j**2
Collect the terms in 9293328*k**2 + 50*k - 50*k + 5564804*k**2.
14858132*k**2
Collect the terms in -77 - t**3 - 1177 + 4*t**3 - 631 - 292.
3*t**3 - 2177
Collect the terms in 42*i**2 - 104*i**2 + 46*i**2 - 73*i**2 - 175*i**2 + 606*i**2.
342*i**2
Collect the terms in -398*v**3 - 181*v**3 - 1988 + 3970 - 1982.
-579*v**3
Collect the terms in 67*r + 1026*r**2 - 848*r**2 - 67*r.
178*r**2
Collect the terms in -23 - 1051*s**2 + 8 + 8.
-1051*s**2 - 7
Collect the terms in -20*o**2 - 43*o**2 - 18*o**2 - 31*o**2 + 109*o**2 - 13*o**2.
-16*o**2
Collect the terms in 203342*b - 6027*b + 495956*b + 1 + 0.
693271*b + 1
Collect the terms in 77*v**2 - 77*v**2 - 88329*v**3 + 89010*v**3.
681*v**3
Collect the terms in -1 + 59264*j - 59264*j + 120*j**2 + 2 + 814*j**2.
934*j**2 + 1
Collect the terms in -661 + 18*p + 332 + 333 - 53*p + 34*p.
-p + 4
Collect the terms in -18*j + 5*j**3 - 19696*j**2 + 35*j + 1 - 15*j.
5*j**3 - 19696*j**2 + 2*j + 1
Collect the terms in -3*n + 47202423501 - 47202423501.
-3*n
Collect the terms in -7456 + 46*l**2 + 7456 - 54*l**2.
-8*l**2
Collect the terms in -35794*g**2 - 6*g + 229284*g**2 + 5*g.
193490*g**2 - g
Collect the terms in -96 - 13*f + 12 - 56 + 204 - 64.
-13*f
Collect the terms in -162858*a**3 + 23565*a**3 - 100457*a**3 - 75150*a**3 - 36462*a**3.
-351362*a**3
Collect the terms in 1271*w**3 - 2526*w**3 + 1270*w**3.
15*w**3
Collect the terms in 1533 + 27*k + 1535 + 3889 - 6957 - 30*k.
-3*k
Collect the terms in 7421*o + 3 - 501*o + 3.
6920*o + 6
Collect the terms in -1857*n + 203*n**3 + 933*n + 924*n - 1 + 6.
203*n**3 + 5
Collect the terms in 17158 - 5608 - 5627 - 5923 + 3*n.
3*n
Collect the terms in -930*y + 1059*y - 660*y.
-531*y
Collect the terms in 803*k**2 + 783*k**2 - 969*k**2 - 4*k + 4*k - 640*k**2.
-23*k**2
Collect the terms in -580 + 1050735*b**2 + 580.
1050735*b**2
Collect the terms in 202*o - 26088 + 239*o + 26088.
441*o
Collect the terms in -10407*l**2 + 31115*l**2 + 0 + 0 - 10295*l**2 - 10216*l**2.
197*l**2
Collect the terms in 486082*t - 310158*t + 1187766*t.
1363690*t
Collect the terms in 1291*b**2 + 20546*b**2 + 16502*b**2.
38339*b**2
Collect the terms in 85206*s**2 + 19*s - 85215*s**2 - 19*s.
-9*s**2
Collect the terms in -302*c**2 + 461*c**2 + 18245*c - 79*c**2 - 76*c**2 - 18245*c.
4*c**2
Collect the terms in 96*t + 211*t + 105*t - 112*t.
300*t
Collect the terms in -1186*y + 232*y**2 - 2*y**3 + 3519*y - 1147*y - 1186*y.
-2*y**3 + 232*y**2
Collect the terms in 18140*t**2 + t - t - 10978*t**2.
7162*t**2
Collect the terms in -242*p**2 - 268*p**2 - 449*p**2 + 405*p**2.
-554*p**2
Collect the terms in 159997*w**2 + 159997*w**2 + 159992*w**2 - 479984*w**2.
2*w**2
Collect the terms in 2260*u + 1969*u + 941*u - 1667*u.
3503*u
Collect the terms in 2794*g - g**3 - 10 + 3947*g - 6741*g + 10.
-g**3
Collect the terms in -401*l + 122*l**3 + 401*l - 62*l**3 + 4*l**2 + 51*l**3.
111*l**3 + 4*l**2
Collect the terms in -315485*f - 65 + 157731*f + 157756*f.
2*f - 65
Collect the terms in -445*x**3 - 1802*x**3 - 8 + 12 - 4.
-2247*x**3
Collect the terms in 0*a - 133*a**2 - 137*a**2 + 546*a**2 + 3*a - 76*a**2 - 143*a**2.
57*a**2 + 3*a
Collect the terms in 4 - 9*v**2 + 57 - 87.
-9*v**2 - 26
Collect the terms in 1736*k + 1721*k - 19 + 1729*k - 6914*k - 21 + 1727*k.
-k - 40
Collect the terms in 808*l**2 + 390457*l - 106*l**2 - 390457*l + 573*l**2.
1275*l**2
Collect the terms in 30*o - 1 + 0 - 20*o - 8*o + 1.
2*o
Collect the terms in 6*z**3 + 2367379*z**2 - 2 - 4*z**3 + 2 + z**3 - 2367379*z**2.
3*z**3
Collect the terms in -5770015*g - 5770020*g + 11540036*g - g**2.
-g**2 + g
Collect the terms in -52765*j**2 - 48201*j**2 + 100968*j**2.
2*j**2
Collect the terms in 39 + 89*n**2 + 8 - 1 - 82*n**2 - 46.
7*n**2
Collect the terms in 429*v**2 - v + 118*v**2 + 304*v**2 - 849*v**2 - 2*v + 3*v.
2*v**2
Collect the terms in 1639408*u - 3278840*u + 1639410*u.
-22*u
Collect the terms in -21257358 - i + 21257321 - 30*i**3 - 5*i + 4*i.
-30*i**3 - 2*i - 37
Collect the terms in 20106*r + 910*r + 4376*r + 21136*r + 5781*r.
52309*r
Collect the terms in 689*s**2 - 2587*s**2 + 624*s**2 + 693*s**2 + 686*s**2.
105*s**2
Collect the terms in -2271*q**3 + 680848*q - 340442*q - 340406*q.
-2271*q**3
Collect the terms in 3003*q**2 + 2 + 6497*q**2 - 2.
9500*q**2
Collect the terms in 442*v + 1162*v - 215 - 458 - 318*v.
1286*v - 673
Collect the terms in 24667*f - 6 - 8310*f + 6 - 8489*f - 8437*f.
-569*f
Collect the terms in -100*d + 102*d - 293 + 565 - 317.
2*d - 45
Collect the terms in -120*g**2 + 67*g**3 - 35*g**3 - 17*g**3 - 21*g**3.
-6*g**3 - 120*g**2
Collect the terms in -279597*t**3 + 559770*t**3 - 279402*t**3.
771*t**3
Collect the terms in 5096*m + 4015*m - 9134*m.
-23*m
Collect the terms in 17*t**2 - t - 40 + 194 - 46 + 4*t**2 - 61 - 6*t**2.
15*t**2 - t + 47
Collect the terms in 32*i**3 + 15032*i - 15042*i + 3 - 1.
32*i**3 - 10*i + 2
Collect the terms in -2448*z - 1327*z - 1684*z + 3785*z.
-1674*z
Collect the terms in -166*a**3 + 6391*a**2 - 2672*a**2 - 3719*a**2.
-166*a**3
Collect the terms in -1509812*p - 6*p**2 - 38*p**2 - 12*p**3 + 1509792*p.
-12*p**3 - 44*p**2 - 20*p
Collect the terms in -567*u + 256 - 258 - 3*u + 37*u.
-533*u - 2
Collect the terms in 160597759436*g**2 + 18*g**3 - 160597759436*g**2.
18*g**3
Collect the terms in -2271*g**3 - 2878*g**3 + 10051*g**3 - 3050*g**3 - 3318*g**3.
-1466*g**3
Collect the terms in 3683*h**3 + 3595*h**3 - 7249*h**3 + 31.
29*h**3 + 31
Collect the terms in 603798*f**2 - 179519*f**3 - 603798*f**2 + 3*f + 179516*f**3.
-3*f**3 + 3*f
Collect the terms in 1758*u**3 + 1521100*u**2 - 1521095*u**2 - 1759*u**3.
-u**3 + 5*u**2
Collect the terms in -375*w - 372*w + 321*w**3 - 343*w**3 + 1131*w - 384*w.
-22*w**3
Collect the terms in -123*i - 48878083240 + 122*i + 48878083240.
-i
Collect the terms in 14135 + 29*z + 23286 - 37421.
29*z
Collect the terms in 42459*i - 81099*i + 38627*i.
-13*i
Collect the terms in 2*s - 123859 + 247781 - 123901.
2*s + 21
Collect the terms in 1600549*u - 21*u**3 - 1600549*u.
-21*u**3
Collect the terms in 3*d + 4708*d**2 + 1667 - 1667.
4708*d**2 + 3*d
Collect the terms in 402*l**2 - 18 + 35*l - 35*l + 1287*l**2.
1689*l**2 - 18
Collect the terms in -2029*f + 661*f + 694*f - 3 + 656*f.
-18*f - 3
Collect the terms in -28511*w**2 + 81118*w**2 + 75955*w**2.
128562*w**2
Collect the terms in 5775*j + 5717*j - 23113*j + 5736*j + 5740*j.
-145*j
Collect the terms in -10136*n**2 + 4325*n**2 + 4357*n**2.
-1454*n**2
Collect the terms in 4286*h**2 + 9 - 4575*h**2 + 308*h**2.
19*h**2 + 9
Collect the terms in -1674*v**2 - 1678*v**2 - 294*v**3 + 3352*v**2.
-294*v**3
Collect the terms in 382 - 144 - 113 - s + 3*s.
2*s + 125
Collect the terms in -106*u**3 - 511*u**3 + 39834*u**2 + 294*u**3 - 39834*u**2.
-323*u**3
Collect the terms in 61*f**3 - 33999*f**2 + 17005*f**2 + 16994*f**2.
61*f**3
Collect the terms in -1995698296 + 14*n + 1995698296.
14*n
Collect the terms in 344*t**2 + 1460*t**2 + 3567*t**2 - 876*t**2 + 2198*t**2.
6693*t**2
Collect the terms in -31*c + 7 - 123*c**2 - 36 - 114*c**2 + 450*c**2 - 108*c**2 - 104*c**2.
c**2 - 31*c - 29
Collect the terms in -19487*r**3 - 9965*r**2 + 9965*r**2.
-19487*r**3
Collect the terms in 103*o + 854*o**2 - 231*o + 128*o + 7*o**3 + 2*o**3.
9*o**3 + 854*o**2
Collect the terms in -23831*s**2 + 9087*s**2 + 291926*s**2.
277182*s**2
Collect the terms in 4952*q - 10028*q + 5 + 5061*q.
-15*q + 5
Collect the terms in 28 + 4197147*h + 17*h**2 - 8394296*h - 28 + 4197149*h - 13*h**2.
4*h**2
Collect the terms in -1402*b**2 + 670*b**2 - 138*b**2 - 519*b**2 - 863*b**2.
-2252*b**2
Collect the terms in 2509 + 2*n - 940 - 941 + 317 - 945.
2*n
Collect the terms in -49307 + 49307 - 153*u.
-153*u
Collect the terms in -107*w**3 - 118*w**3 + 172*w**3.
-53*w**3
Collect the terms in -2*o**2 + 2*o + 10553734*o**3 - 2*o - 4*o**2.
10553734*o**3 - 6*o**
|
{
"pile_set_name": "DM Mathematics"
}
|
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