text stringlengths 270 8.19k | meta dict |
|---|---|
sequence mzm when three letters picked without replacement from mggrmggggzgggzzzg.
1/510
What is prob of sequence oyy when three letters picked without replacement from {o: 1, y: 3}?
1/4
Calculate prob of sequence za when two letters picked without replacement from latblwz.
1/42
Calculate prob of sequence iiq when three letters picked without replacement from {q: 7, i: 5}.
7/66
Four letters picked without replacement from vrbvvwrmbvvvwr. Give prob of sequence bmwv.
1/1001
What is prob of sequence la when two letters picked without replacement from {l: 1, o: 2, a: 1}?
1/12
What is prob of sequence fl when two letters picked without replacement from {w: 7, f: 1, p: 7, l: 1}?
1/240
Calculate prob of sequence nh when two letters picked without replacement from hyhuhyhhehhynhnuh.
9/136
Three letters picked without replacement from mmmmmmmummuummmmmm. Give prob of sequence uum.
5/272
Calculate prob of sequence fbb when three letters picked without replacement from {t: 1, s: 4, b: 2, f: 1}.
1/168
Two letters picked without replacement from {z: 3, f: 1, v: 2, r: 6, n: 2, p: 1}. Give prob of sequence zn.
1/35
What is prob of sequence hc when two letters picked without replacement from izupciiziizcpzphuip?
1/171
Calculate prob of sequence mi when two letters picked without replacement from {l: 2, y: 1, i: 2, o: 1, m: 1}.
1/21
What is prob of sequence hq when two letters picked without replacement from {k: 1, q: 1, b: 1, w: 1, h: 2, g: 1}?
1/21
Four letters picked without replacement from owsxxbwxbosbx. What is prob of sequence bssw?
1/1430
Three letters picked without replacement from siipxxwirrrp. What is prob of sequence pxi?
1/110
What is prob of sequence pxb when three letters picked without replacement from {b: 1, p: 6, w: 4, v: 4, x: 1}?
1/560
Three letters picked without replacement from {i: 1, e: 4, z: 11, t: 3}. Give prob of sequence eti.
2/969
Three letters picked without replacement from appppaarpap. Give prob of sequence aap.
4/55
Calculate prob of sequence bb when two letters picked without replacement from bbnbbnbbnbbnnbbbbnn.
22/57
What is prob of sequence wfhw when four letters picked without replacement from {z: 2, f: 1, g: 7, h: 4, w: 4}?
1/1530
What is prob of sequence sls when three letters picked without replacement from uosls?
1/30
Two letters picked without replacement from rrrqrqxx. Give prob of sequence rq.
1/7
What is prob of sequence nnll when four letters picked without replacement from {n: 6, l: 6}?
5/66
What is prob of sequence eaee when four letters picked without replacement from {h: 2, v: 3, a: 4, e: 8}?
2/85
Three letters picked without replacement from {k: 7, q: 1, i: 7, f: 1, m: 1}. Give prob of sequence ikk.
49/680
Three letters picked without replacement from {o: 6, b: 2, c: 10}. Give prob of sequence bbc.
5/1224
What is prob of sequence xxx when three letters picked without replacement from {i: 10, x: 9}?
28/323
Calculate prob of sequence epu when three letters picked without replacement from epekuukueeppfuufeue.
6/323
Calculate prob of sequence edid when four letters picked without replacement from dieid.
1/30
Three letters picked without replacement from enww. What is prob of sequence wwn?
1/12
Calculate prob of sequence xeu when three letters picked without replacement from {l: 1, x: 1, p: 2, w: 1, u: 1, e: 1}.
1/210
Calculate prob of sequence xxx when three letters picked without replacement from {x: 6}.
1
What is prob of sequence jcdj when four letters picked without replacement from djccjgccgccccc?
3/4004
Two letters picked without replacement from mmimumymiimuwm. What is prob of sequence ui?
3/91
Two letters picked without replacement from ofmix. What is prob of sequence xi?
1/20
Two letters picked without replacement from {r: 6, e: 1, s: 1, a: 7}. Give prob of sequence se.
1/210
Three letters picked without replacement from tpxyy. What is prob of sequence ypt?
1/30
Three letters picked without replacement from {m: 7, f: 3, q: 1, w: 1, z: 2, j: 3}. Give prob of sequence jzj.
1/340
Calculate prob of sequence uo when two letters picked without replacement from addpauooiaaia.
1/78
Three letters picked without replacement from rrrrrrrrr. Give prob of sequence rrr.
1
Calculate prob of sequence qpqp when four letters picked without replacement from {p: 11, q: 5}.
55/1092
Two letters picked without replacement from epennneeepppee. What is prob of sequence nn?
3/91
Calculate prob of sequence ccif when four letters picked without replacement from {u: 4, c: 2, i: 4, f: 1}.
1/990
Two letters picked without replacement from juujujjjuujuuujujjuj. Give prob of sequence jj.
9/38
Three letters picked without replacement from wwnsvsw. What is prob of sequence wss?
1/35
Two letters picked without replacement from dkmrrbfmbbdffkfd. Give prob of sequence md.
1/40
Four letters picked without replacement from {f: 1, k: 1, j: 2, d: 4}. Give prob of sequence kjfd.
1/210
Two letters picked without replacement from hfuthhhfv. What is prob of sequence vh?
1/18
What is prob of sequence ab when two letters picked without replacement from bab?
1/3
What is prob of sequence ils when three letters picked without replacement from wwblsbi?
1/210
Calculate prob of sequence oow when three letters picked without replacement from {w: 1, d: 1, o: 5, b: 2}.
5/126
Calculate prob of sequence iip when three letters picked without replacement from {i: 2, p: 11}.
1/78
Four letters picked without replacement from {w: 7, g: 7}. Give prob of sequence wwgw.
35/572
Two letters picked without replacement from {p: 8, f: 1, l: 2, a: 1, q: 1, u: 1}. Give prob of sequence ll.
1/91
Two letters picked without replacement from dtaazenztanaadnaaaan. Give prob of sequence ne.
1/95
Two letters picked without replacement from {v: 1, e: 4, d: 1, o: 1, f: 1}. What is prob of sequence dv?
1/56
What is prob of sequence llt when three letters picked without replacement from {w: 2, j: 1, l: 4, t: 1}?
1/28
Four letters picked without replacement from {r: 2, o: 4}. Give prob of sequence roro.
1/15
What is prob of sequence le when two letters picked without replacement from {e: 1, l: 1, w: 1, b: 2, n: 2, p: 2}?
1/72
Two letters picked without replacement from {p: 4, d: 3, k: 6, o: 2}. What is prob of sequence kk?
1/7
Three letters picked without replacement from {u: 7, n: 2, l: 8, w: 1}. Give prob of sequence nuu.
7/408
What is prob of sequence hh when two letters picked without replacement from {c: 2, w: 1, h: 2}?
1/10
Three letters picked without replacement from {q: 8, f: 2, v: 2}. What is prob of sequence qqv?
14/165
Three letters picked without replacement from {z: 11, h: 5}. What is prob of sequence zhz?
55/336
Three letters picked without replacement from izz. Give prob of sequence izz.
1/3
Calculate prob of sequence aat when three letters picked without replacement from aiitiaiiii.
1/360
Calculate prob of sequence mmm when three letters picked without replacement from {m: 9, z: 3}.
21/55
Calculate prob of sequence kh when two letters picked without replacement from jthkk.
1/10
Calculate prob of sequence qqjq when four letters picked without replacement from jqqqqqjqqqqqq.
3/26
What is prob of sequence ssss when four letters picked without replacement from {s: 4, w: 2, r: 7}?
1/715
What is prob of sequence fjc when three letters picked without replacement from juccjf?
1/30
What is prob of sequence ccc when three letters picked without replacement from cccc?
1
What is prob of sequence oour when four letters picked without replacement from {m: 1, u: 2, o: 2, r: 1}?
1/90
Three letters picked without replacement from {j: 4, k: 3, u: 10, d: 1, p: 1}. What is prob of sequence jkk?
4/969
Four letters picked without replacement from {b: 1, n: 1, f: 2, j: 5}. Give prob of sequence jnbj.
5/756
Three letters picked without replacement from yybby. What is prob of sequence ybb?
1/10
Four letters picked without replacement from {s: 1, a: 2, e: 11, f: 1, n: 1, p: 3}. Give prob of sequence essn.
0
Four letters picked without replacement from {o: 3, a: 9}. What is prob of sequence oaaa?
7/55
Three letters picked without replacement from qrqrrsqqsrorqsssrr. Give prob of sequence srq.
175/4896
Three letters picked without replacement from {d: 2, r: 2, e: 1, w: 1}. Give prob of sequence | {
"pile_set_name": "DM Mathematics"
} |
- 556. Determine g(-7).
235
Let d(i) = 100*i - 77. Determine d(2).
123
Let w(k) = -7*k**2 + 137*k - 644. Determine w(12).
-8
Let d(f) = f**3 + 6*f**2 - 3*f + 24. What is d(-7)?
-4
Let m(o) = o**3 + 357*o**2 + 11*o + 3941. What is m(-357)?
14
Let i(o) = 2*o**3 - 14*o**2 + 31*o - 26. Determine i(3).
-5
Let v(x) = -2*x**2 - 392*x - 10999. What is v(-34)?
17
Let h(p) = -23*p + 507. Give h(43).
-482
Let u(b) = 472*b + 58998. What is u(-125)?
-2
Let v(z) = -2*z**3 - 20*z**2 - 15*z - 89. Calculate v(-10).
61
Let y(u) = u**2 - 55*u + 139. What is y(3)?
-17
Let u(j) = -29*j - 9. Determine u(2).
-67
Let p(f) = -13690*f + 41069. Calculate p(3).
-1
Let o(z) = 2*z**3 - 22*z**2 + 9*z + 41. Calculate o(10).
-69
Let w(j) = 26*j - 670. What is w(26)?
6
Let q(b) = -3120*b + 271445. Determine q(87).
5
Let s(t) = 5*t**3 + 38*t**2 - 14*t + 31. Give s(-8).
15
Let o(z) = -z**3 + 23*z**2 - 111*z - 8. Determine o(10).
182
Let b(z) = -z**2 - 51*z - 291. Calculate b(-7).
17
Let w(i) = 2*i**3 + 10*i**2 - 24*i - 24. Determine w(-5).
96
Let g(b) = -4*b**3 - 13*b**2 - 3*b - 16. Calculate g(-5).
174
Let d(b) = b**3 - 5*b**2 + 24*b - 108. What is d(5)?
12
Let d(h) = -h**2 + 21*h + 299. Calculate d(0).
299
Let c(z) = 29*z**2 + 141*z + 12. Determine c(-5).
32
Let s(g) = -1935*g - 19359. Determine s(-10).
-9
Let z(q) = 14*q**2 + 57*q - 15. Calculate z(-9).
606
Let c(g) = -30*g - 333. Calculate c(-11).
-3
Let r(w) = -w**2 - 24*w + 411. Determine r(-40).
-229
Let o(z) = 3*z**3 - 418*z**2 - 1135*z - 155. Calculate o(142).
-13
Let n(h) = 2*h**2 + 44*h + 236. What is n(-9)?
2
Let a(y) = -4*y**3 - 144*y**2 + 3*y - 70. Calculate a(-36).
-178
Let l(w) = -9*w + 415. What is l(10)?
325
Let y(x) = 2*x + 72. Determine y(16).
104
Let s(a) = 2*a**3 - 4*a**2 - 9*a - 4. Calculate s(-4).
-160
Let j(i) = i**2 - 49*i + 117. Calculate j(42).
-177
Let s(x) = -8*x - 161. Calculate s(-24).
31
Let t(v) = 11*v + 277. Give t(-15).
112
Let q(g) = g**3 - 7*g**2 + 24*g - 250. What is q(8)?
6
Let q(s) = -3054*s + 109931. Calculate q(36).
-13
Let w(f) = -5*f**3 + 96*f**2 + 32*f - 10. What is w(19)?
959
Let r(m) = 3*m**3 + 5*m**2 - 22*m + 7. Give r(2).
7
Let i(w) = 4492*w + 17980. Calculate i(-4).
12
Let m(f) = -f**2 - 71*f + 402. Determine m(-77).
-60
Let f(w) = w**2 - 14*w - 207. What is f(-9)?
0
Let q(u) = u**3 - 2*u + 26. Determine q(-3).
5
Let w(b) = -146*b - 2619. Calculate w(-18).
9
Let k(x) = -x**3 + 28*x**2 + 60*x + 50. Give k(30).
50
Let w(k) = -128*k - 18531. Calculate w(-145).
29
Let i(n) = -n**3 + 60*n**2 - 875*n - 17. Give i(25).
-17
Let b(t) = 6*t**2 + 10*t - 15. What is b(5)?
185
Let l(v) = 4*v**2 + 122*v - 180. Determine l(-30).
-240
Let h(v) = 152*v**2 - 168*v + 345. Calculate h(2).
617
Let i(w) = w**2 + 16*w - 40. Determine i(-18).
-4
Let a(k) = -162*k**2 - 977*k - 25. Give a(-6).
5
Let y(p) = -2*p**2 - 154*p + 2738. Give y(15).
-22
Let v(p) = -12*p**2 + 2321*p - 969. What is v(193)?
-4
Let o(g) = 6*g**3 + 14*g**2 - 23*g + 51. What is o(-4)?
-17
Let t(s) = -s**3 - 4*s**2 - 21*s - 141. What is t(-6)?
57
Let l(o) = -2*o**2 + 34*o + 1608. Give l(38).
12
Let h(c) = -1444*c - 4340. What is h(-3)?
-8
Let m(y) = 10*y**3 + 667*y**2 - 203*y - 146. What is m(-67)?
-12
Let l(d) = -3*d + 90. Give l(29).
3
Let n(i) = 134*i + 4177. Calculate n(-32).
-111
Let c(w) = 280*w - 30809. Give c(110).
-9
Let u(z) = -172*z + 113. Calculate u(1).
-59
Let c(j) = 29*j - 1055. Give c(41).
134
Let q(n) = 4*n**2 + 13*n - 119. What is q(0)?
-119
Let v(h) = 4*h + 18. Calculate v(-1).
14
Let u(t) = 2*t - 51. Give u(14).
-23
Let y(s) = -s**3 - 35*s**2 + 198*s - 96. What is y(-40)?
-16
Let h(b) = 2*b**2 - 21*b + 67. Give h(15).
202
Let k(q) = q**3 + 52*q**2 - 590*q + 1859. Calculate k(-62).
-1
Let c(v) = -19*v - 243. What is c(-16)?
61
Let j(d) = -d**3 + 2*d**2 + 6*d - 685. What is j(0)?
-685
Let i(g) = g**2 - 73*g + 1075. Determine i(21).
-17
Let c(k) = k**2 - 34*k + 285. Determine c(17).
-4
Let h(s) = -109*s - 587. Calculate h(0).
-587
Let w(g) = -2*g**2 + 54*g - 434. Calculate w(11).
-82
Let m(t) = -t**3 - 193*t**2 - 363*t + 3609. What is m(-191)?
-20
Let g(j) = -j**3 - 23*j**2 + 81*j + 70. What is g(-26)?
-8
Let i(z) = 2*z**3 + 18*z**2 - 41*z + 37. Determine i(-11).
4
Let t(s) = -3*s**3 - 17*s**2 - 52*s - 372. Determine t(-6).
-24
Let v(l) = -l**2 + 1415*l + 5672. Determine v(-4).
-4
Let y(q) = -4*q - 109. Determine y(-15).
-49
Let f(s) = s**3 - 33*s**2 + 121*s - 65. Give f(29).
80
Let x(n) = 13*n**2 + 116*n - 131. Calculate x(-10).
9
Let g(p) = 112*p**2 - 471*p + 98. Determine g(4).
6
Let f(u) = 6*u**2 - 416*u - 716. Determine f(71).
-6
Let a(c) = c**3 - 4*c**2 + 24*c - 215. Determine a(6).
1
Let o(d) = 5*d**3 + 3*d**2 - 76*d - 384. Give o(-5).
-554
Let n(f) = f**2 + 39*f + 103. Determine n(-27).
-221
Let c(r) = -3273*r - 9822. Give c(-3).
-3
Let q(i) = i**2 - 2*i - 219. Calculate q(-13).
-24
Let x(v) = v**2 - 13*v - 510. Calculate x(30).
0
Let m(r) = 3*r - 1261. Calculate m(14).
-1219
Let b(p) = -2*p - 408. Determine b(-41).
-326
Let z(p) = -4*p + 498. Calculate z(29).
382
Let b(s) = 2*s**2 + 70*s - 258. Give b(4).
54
Let d(m) = -m**2 - 4957*m - 69205. Give d(-14).
-3
Let s(d) = 36*d + 135. Give s(-5).
-45
Let x(g) = -9*g**3 - 78*g**2 + 8*g - 177. What is x(-9)?
-6
Let i(n) = n**3 - 10*n**2 + 76*n - 486. Give i(8).
-6
Let o(b) = -7*b**3 - 3*b**2 - b - 3. Calculate o(-2).
43
Let b(t) = -14*t - 93. What is b(-8)?
19
Let p(g) = g**3 - g**2 + 18*g + 51. Determine p(-4).
-101
Let t(n) = 13*n**2 + 190*n - 17. Calculate t(0).
-17
Let j(a) = a**2 - 2*a - 143. What is j(0)?
-143
Let t(d) = -116*d + 336. Determine t(3).
-12
Let g(o) = -o**3 + 10*o**2 - 6*o - 16. Determine g(4).
56
Let t(o) = -o**3 + 23*o**2 - 122*o + 129. Calculate t(9).
165
Let k(h) = 8*h**2 + 89*h + 37. Give k(-11).
26
Let g(m) = -m**3 + 2*m**2 + 8*m - 5. Determine g(3).
10
Let s(o) = -1159*o + 10438. Give s(9).
7
Let c(k) = -30*k**3 + 30*k + 86. Determine c(-3).
806
Let g(c) = -c**3 + 163*c**2 + 1730*c - 14. Give g(173).
-14
Let a(x) = 827*x - 23977. Give a(29).
6
Let h(r) = -91*r**2 - 933*r - 240. What is h(-10)?
-10
Let t(a) = 4*a**2 - 25*a + 25. Give t(6).
19
Let l(y) = -75*y - 3148. What is l(-42)?
2
Let v(b) = 3*b**2 - b + 33. What is v(6)?
135
Let j(p) = p**2 - 345*p + 15951. Determine j(55).
1
Let t(z) = 5*z**2 + 95*z + 295. What is t(-15)?
-5
Let a(i) = -22*i + 223. Calculate a(12).
-41
Let i(l) = 233*l**2 - 2560*l - 44. Calculate i(11).
-11
Let n(s) = -7*s**2 + 2*s - 2. Give n(1).
-7
Let p(w) = -8040*w - 56254. Calculate p(-7).
26
Let v(r) = -3*r + 70. Determine v(20).
10
Let x(o) = 133*o + 862. Give x(-7).
-69
Let a(r) = -r**2 + 70*r - 1185. What is a(42)?
-9
Let z(w) = w**3 + 13*w**2 + 23*w + 20. What is z(-11)?
9
Let s(c) = c**3 - 6*c**2 - 20*c + 13. What is s(-4)?
-67
Let c(a) = -5*a**2 - 1548*a - 936. Determine c(-309).
-9
Let b(x) = 3*x**3 - 31*x**2 + 86*x - 115. Give b(7).
-3
Let p(h) = h**2 - 192*h - 1604. Calculate p(-8).
-4
Let y(m) = -205*m - 2546. Give y(-12).
-86
Let i(a) = -2*a**3 + 85*a**2 - 37*a - 189. Calculate i(42).
21
Let x(b) = -240*b**2 + 5*b - 6. Calculate x(1).
-241
Let v(g) = g**3 - 19*g**2 - 157*g - 8. Determine v(0).
-8
Let k(u) = -u**2 - 217*u - 4961. Give k(-26).
5
Let i(w) = -11*w**3 - 3*w**2 - w + 9. Calculate i(-2).
87
Let t(m) = 14*m + 858. What is t(-33)?
396
Let o(g) = -917*g + 7367. Determine o(8).
31
Let r(v) = 2*v + 121. Determine r(-24).
73
Let u(i) = i**3 - 19*i**2 - 668*i - 35. Calculate u(-18).
1
Let c(t) = t**3 - 39*t**2 + t - 82. Determine c(39).
-43
Let f(t) = t**3 - 7*t**2 + 181*t - 1501. Give f(8).
11
Let p(h) = -5*h**3 - 224*h**2 - 11*h + 3. What is p(0)?
3
Let c(v) = -22*v**3 - 4*v**2. What is c(1)?
-26
Let o(k) = k**2 - 13*k + 156. Determine o(16).
204
Let d(n) = 2*n**3 + 8*n**2 - 51*n - 226. Give d(-4).
-22
Let z(o) = -4*o**2 - 6. Give z(-4).
-70
Let l(p) = -39*p - 50. What is l(-2)?
28
Let l(d) = -66*d - 150. Determine l(1).
-216
Let d(m) = m**2 + 19*m + 160. Determine d(-8).
72
Let n(v) = v**3 - 2*v**2 - 7*v - 54. Determine n(7).
142
Let f(j) = -2*j**2 + 67*j + 202. Calculate f(-3).
-17
Let g(w) = -11*w**2 - 93*w + 8. Calculate g(3).
-370
Let b(o) = o**3 - 5*o**2 - 135*o + 203. What is b(13)?
-200
Let b(q) = 110*q + 601. Determine b(-6).
-59
Let a(u) = 2*u**3 - 22*u**2 + 9*u + 288. Determine a | {
"pile_set_name": "DM Mathematics"
} |
hundreds digit of 71464168?
1
What is the hundred thousands digit of 270135463?
1
What is the tens digit of 139344217?
1
What is the millions digit of 554106348?
4
What is the millions digit of 13805692?
3
What is the ten thousands digit of 2750402492?
0
What is the hundred thousands digit of 176511367?
5
What is the units digit of 390543284?
4
What is the hundred thousands digit of 18492091?
4
What is the ten millions digit of 3993734111?
9
What is the units digit of 559287099?
9
What is the thousands digit of 1016913107?
3
What is the thousands digit of 11407318?
7
What is the units digit of 144280282?
2
What is the thousands digit of 64066675?
6
What is the millions digit of 551829011?
1
What is the tens digit of 5743443?
4
What is the ten millions digit of 2078076910?
7
What is the hundred thousands digit of 21524740?
5
What is the ten thousands digit of 438365992?
6
What is the tens digit of 38642492?
9
What is the hundred thousands digit of 670961428?
9
What is the hundred thousands digit of 7157941409?
9
What is the thousands digit of 2231712096?
2
What is the hundred millions digit of 190928691?
1
What is the millions digit of 67818795?
7
What is the units digit of 119995957?
7
What is the ten millions digit of 215398298?
1
What is the millions digit of 114395807?
4
What is the hundreds digit of 502277605?
6
What is the hundreds digit of 4155518163?
1
What is the ten thousands digit of 451498304?
9
What is the thousands digit of 32967233?
7
What is the tens digit of 11675868?
6
What is the thousands digit of 60371244?
1
What is the hundred thousands digit of 2319914645?
9
What is the hundred thousands digit of 277263715?
2
What is the billions digit of 1428181875?
1
What is the units digit of 1866604131?
1
What is the hundreds digit of 174436195?
1
What is the hundred thousands digit of 6793459989?
4
What is the billions digit of 5998868934?
5
What is the units digit of 3412790293?
3
What is the units digit of 51378159?
9
What is the hundreds digit of 2500396476?
4
What is the hundred millions digit of 118706980?
1
What is the hundred millions digit of 288559093?
2
What is the hundreds digit of 126717027?
0
What is the hundred thousands digit of 111310239?
3
What is the hundred thousands digit of 225171211?
1
What is the hundreds digit of 97981933?
9
What is the tens digit of 926086743?
4
What is the hundred thousands digit of 138629876?
6
What is the millions digit of 7919598?
7
What is the millions digit of 535329992?
5
What is the hundred millions digit of 4796324097?
7
What is the hundreds digit of 1065979788?
7
What is the ten millions digit of 4068469754?
6
What is the ten thousands digit of 41740420?
4
What is the hundred millions digit of 107485159?
1
What is the hundreds digit of 363417253?
2
What is the ten millions digit of 105690781?
0
What is the hundreds digit of 1089887036?
0
What is the units digit of 71914866?
6
What is the units digit of 386230829?
9
What is the ten thousands digit of 2490708033?
0
What is the hundreds digit of 2068251157?
1
What is the millions digit of 1301879704?
1
What is the hundreds digit of 111772851?
8
What is the tens digit of 335623668?
6
What is the hundreds digit of 562446460?
4
What is the hundreds digit of 135138731?
7
What is the ten thousands digit of 526407769?
0
What is the ten millions digit of 44559371?
4
What is the thousands digit of 1184216139?
6
What is the ten thousands digit of 207531754?
3
What is the ten thousands digit of 26816004?
1
What is the hundred thousands digit of 7633174415?
1
What is the hundred thousands digit of 2175077138?
0
What is the ten thousands digit of 436605015?
0
What is the hundreds digit of 3514413?
4
What is the millions digit of 63079280?
3
What is the hundreds digit of 777362?
3
What is the hundred thousands digit of 2016134514?
1
What is the millions digit of 7970627978?
0
What is the ten millions digit of 110309829?
1
What is the ten thousands digit of 1458527?
5
What is the millions digit of 2392325026?
2
What is the units digit of 257499245?
5
What is the hundred millions digit of 136582451?
1
What is the units digit of 247593367?
7
What is the tens digit of 197417943?
4
What is the hundred millions digit of 337520981?
3
What is the ten millions digit of 23163259?
2
What is the ten millions digit of 3269139354?
6
What is the thousands digit of 921372609?
2
What is the tens digit of 41756663?
6
What is the hundred millions digit of 377574578?
3
What is the ten millions digit of 486889060?
8
What is the thousands digit of 874685448?
5
What is the tens digit of 44625413?
1
What is the millions digit of 2920280478?
0
What is the thousands digit of 181908940?
8
What is the hundred millions digit of 426577571?
4
What is the millions digit of 84887622?
4
What is the millions digit of 317769409?
7
What is the ten thousands digit of 12163852?
6
What is the hundreds digit of 2838798811?
8
What is the units digit of 341029890?
0
What is the millions digit of 649938856?
9
What is the hundred thousands digit of 161066612?
0
What is the thousands digit of 1344121486?
1
What is the tens digit of 2640622930?
3
What is the millions digit of 654693734?
4
What is the millions digit of 157908008?
7
What is the thousands digit of 1587615066?
5
What is the tens digit of 41941370?
7
What is the hundreds digit of 95114808?
8
What is the ten millions digit of 1563777671?
6
What is the ten thousands digit of 4855500281?
0
What is the ten millions digit of 32871341?
3
What is the hundred thousands digit of 211520774?
5
What is the ten millions digit of 1779306778?
7
What is the hundreds digit of 1814174047?
0
What is the thousands digit of 508946919?
6
What is the billions digit of 3489252635?
3
What is the units digit of 1884930659?
9
What is the hundred thousands digit of 602908470?
9
What is the hundred thousands digit of 127938755?
9
What is the hundred millions digit of 802720049?
8
What is the hundreds digit of 8173844257?
2
What is the thousands digit of 1688148797?
8
What is the tens digit of 1573989?
8
What is the ten thousands digit of 8124751496?
5
What is the billions digit of 1053375577?
1
What is the ten millions digit of 200637294?
0
What is the tens digit of 28603486?
8
What is the hundred thousands digit of 660949689?
9
What is the hundred thousands digit of 386600702?
6
What is the thousands digit of 68584766?
4
What is the units digit of 90703878?
8
What is the units digit of 9537333?
3
What is the hundred thousands digit of 30501593?
5
What is the hundred millions digit of 2783142396?
7
What is the millions digit of 8412920?
8
What is the tens digit of 400387425?
2
What is the hundred thousands digit of 3507875127?
8
What is the hundred millions digit of 306830442?
3
What is the ten millions digit of 2659127990?
5
What is the hundred thousands digit of 74409596?
4
What is the hundred thousands digit of 241483087?
4
What is the ten millions digit of 66566244?
6
What is the hundred millions digit of 559575180?
5
What is the hundreds digit of 6058968?
9
What is the tens digit of 1674307446?
4
What is the millions digit of 154555783?
4
What is the ten thousands digit of 40581544?
8
What is the tens digit of 70700635?
3
What is the tens digit of 45065343?
4
What is the millions digit of 4496912301?
6
What is the millions digit of 267192537?
7
What is the units digit of 130570083?
3
What is the ten thousands digit of 7428928365?
2
What is the thousands digit of 230185469?
5
What is the hundreds digit of 2703650251?
2
What is the ten thousands digit of 52406699?
0
What is the tens digit of 975673508?
0
What is the hundreds digit of 6006119138?
1
What is the millions digit of 78421120?
8
What is the tens digit of 445182678?
7
What is the hundreds digit of 165683177?
1
What is the thousands digit of 778565?
8
What is the tens digit of 295642281?
8
What is the hundreds digit of 110769037?
0
What is the hundreds digit of 90357467?
4
What is the billions digit of 1018963392?
1
What is the millions digit of 191184781?
1
What is the hundreds digit of 260231964?
9
What is the millions digit of 109520098?
9
What is the ten millions digit of 60094563?
6
What is the units digit of 1786972023?
3
What is the hundreds digit of 1984063054?
0
What is the hundred mill | {
"pile_set_name": "DM Mathematics"
} |
Let p be 21/30*16/28. Are p and 0 equal?
False
Let x be -2 + (-3)/12*-2. Let w(g) = g + 1. Let p(c) = c**3 - 8*c**2 + 7*c - 3. Let a be p(7). Let h be w(a). Is h at most x?
True
Let t = -27 - -9. Let f = -25 - t. Let v = -4 - f. Which is greater: 1 or v?
v
Let o = -56 + 57. Which is greater: -1 or o?
o
Let h be 6 + (-9)/3 + 0. Let b be (-6)/h + (1 - -3). Suppose 4*g - 3 - 9 = 0. Which is smaller: g or b?
b
Let w be 9/(-12)*40/4155. Which is smaller: -1 or w?
-1
Suppose -n = -3*z + 3, 3*n = 4*z - 5 + 1. Let m be (6/(-4))/((-2)/4). Suppose 3 = v - m*c + 4*c, -5*c + 15 = -3*v. Is n greater than or equal to v?
True
Let p be 2/1 - 0/(-4). Which is smaller: 0 or p?
0
Let v(q) = 6*q + 3*q + 0*q - q**2 + 6. Let m = -29 + 39. Let a be v(m). Which is bigger: -7/2 or a?
-7/2
Let d = 13814/3 - 4656. Suppose -3*j - 156 = -4*k, 2*k - 164 = 3*j - 8. Let g = j - d. Which is smaller: g or 1/5?
g
Suppose -10 = 6*u - u. Let c be 1*1/(-2)*u. Let w be (6 - (-60)/(-8))/(33/(-4)). Which is smaller: c or w?
w
Suppose 2 = -2*g - 0. Which is greater: -1/33 or g?
-1/33
Let g(j) = 5*j**2 + 2. Let k be g(-2). Suppose 4*q = -n + 13, -2*n - 2*n + k = q. Suppose -3*c + q*c = 1. Which is bigger: c or 0?
0
Let n = 3.04 - 0.04. Let l = 3.4 - n. Let s = l - 0.4. Is -0.2 at least s?
False
Suppose -4*s + 28 = 4*z - 8, -2*z - 5*s + 33 = 0. Suppose -z*d + 0*d + 8 = 0. Suppose 4 = d*y - 0*y. Which is bigger: y or 1?
y
Let l be (-4)/20 + 2/10. Is l smaller than 7?
True
Suppose -8 + 0 = 4*k. Let r = k - -1. Does -0.1 = r?
False
Let j = -0.5 - -0.4. Let w be 2/(3 + -3 - 2). Is w bigger than j?
False
Suppose -3*g = -0*g - 126. Let u be g/(-8) + (-2)/(-8). Is -4 smaller than u?
False
Let d = -48 - -47.9. Is d equal to 1/9?
False
Suppose 2*a + 4*v - 26 = 0, 0*a = -4*a + v + 7. Let t be (24/(-21))/(a/7). Which is greater: -3 or t?
t
Let o = -4 - 0. Suppose -4 = 3*z + 11. Which is smaller: z or o?
z
Let f(x) = -x**2 + 6*x + 6. Let t be f(7). Let n = 3 + t. Is -0.2 smaller than n?
True
Suppose -2*d = -4*z - 16, 0*z + 2*d = -4*z. Which is smaller: z or -2/3?
z
Let m(k) = k**2 - 2*k - 1. Let x be m(3). Let c(h) = h**3 + h**2 + 1. Let o(i) = i**3 + i**2 + i + 2. Let y(j) = x*o(j) - 3*c(j). Let w be y(-1). Is w != -1/20?
True
Let u be 33/6*(9 + 1). Does u = 54?
False
Let s = -0.13 + 0.02. Which is smaller: 0.1 or s?
s
Suppose 3*g + 170 = 2*b, -3*g - 348 = -4*b - g. Let d be b/20 - (-2)/(-5). Which is smaller: 5 or d?
d
Let l = 7 - -1. Let s = l - 4. Suppose -s*q - 5*p + 20 = 0, -16 = -4*p - 0. Is q at most 1?
True
Suppose -83 = 2*j + 5*f, 5*j + 22 = 4*j + 4*f. Which is greater: j or -35?
j
Let c(v) = v + 2. Let u be c(-3). Which is smaller: 2/21 or u?
u
Suppose 0 = -2*q + 1 + 7. Suppose q*l - 2 - 2 = 4*c, 2*c - 7 = -l. Let d(x) = x**2 - 3*x + 1. Let y be d(l). Is -1 equal to y?
False
Let v = -1698/7 + 242. Is 0 less than or equal to v?
False
Let z(c) = c**2 - 2*c + 2. Let w be z(2). Let y be ((-1)/(-3))/(w/(-18)). Let j = y - -2. Are -2 and j unequal?
True
Let u = -29 - -144/5. Let n = 2 - 1. Is u at most as big as n?
True
Let u(l) = l**3 - 3*l**2 - 4*l - 1. Let b be u(4). Let x be -64 - ((-6)/4 - b). Let n = -65 - x. Which is smaller: n or -1?
n
Let t(b) = -b**2 - 17. Let x be t(0). Are 0 and x equal?
False
Suppose 2*m + f + 7 = 0, -m - 2*m - 5*f = 7. Suppose 3*g - 6 + 0 = -3*b, -2*g + 12 = 4*b. Let v = m + b. Which is bigger: v or 1/2?
1/2
Let d = -19 - -23. Let k = d - 2. Which is greater: k or 4/5?
k
Suppose -2*r = -6*r. Let w = r + 1. Let u be (-4)/8 + (-26)/(-36). Which is greater: w or u?
w
Let x = 0 - -2. Suppose -7*j - x*d = -3*j - 30, -45 = -2*j + 5*d. Let g(q) = -q + 10. Let s be g(j). Is 1 greater than s?
True
Let x = -1/25 + -4/25. Let v = 1 - 2. Are x and v equal?
False
Let t = 77 - 75. Are 1/2 and t unequal?
True
Let g be ((-4)/10)/((-2)/30). Suppose 2*c = g*c - 8. Suppose -c*a - 3*a + 10 = 0, 3*a - 10 = -4*r. Is r less than 0?
False
Let p = -15783/4 + 4001. Let x = -55 + p. Is x at most as big as -2?
False
Let u be ((-1)/(-6))/(-5*8/(-240)). Which is smaller: -1/7 or u?
-1/7
Let h = -35/52 - -12/13. Let y be (0/(-2))/(-2 + 0). Suppose b - 4 = y, -2 = -m - b + 1. Which is greater: m or h?
h
Let s = -7 + 11. Suppose 0 = s*i, -3*l + 0 = i + 3. Is 0 at most l?
False
Suppose -5*l = -5*c + 125, -3*l - 2*l = -3*c + 119. Let z = l + 16. Is z smaller than -5?
True
Let t = -1.94 - 0.06. Let p = 0.22 - -0.08. Is t <= p?
True
Let x be (6/(-8))/(39/12). Which is smaller: 0 or x?
x
Let v = -0.2 - -1.2. Let t = 0.9 - v. Let a = t + 0.1. Are -4 and a unequal?
True
Let q = 4.6 - 5.6. Is 0.114 <= q?
False
Let c be 4/(-4 + (-2408)/(-612)). Let h = c - -61. Which is greater: -1 or h?
h
Let n = -6 - -8. Let p = 1 - n. Suppose 0*d + 6 = -3*d. Are d and p nonequal?
True
Let s(l) = 4*l + 1. Let q be s(-1). Let z = 12 + q. Let u be ((-12)/(-32))/((-3)/(-72)). Are z and u non-equal?
False
Let d = 24 + -47/2. Is d less than 1?
True
Let o = 15 - 16. Is o bigger than -2/19?
False
Let t = 1 - 2. Suppose 0 = 2*i, -3*m + 0*i = 4*i + 6. Which is smaller: t or m?
m
Let j(w) = w**3 + 3*w**2 + 1. Let g be j(-3). Suppose 2*r = 5*s + 1, r = 3*s - 0*r + g. Do 2/11 and s have the same value?
False
Suppose 0 = 2*v - 0*v + 2*v. Is -0.3 < v?
True
Suppose 0 = -5*b + 4*a - 1, -5*b - 4*a - 5 = 4. Let h = 1/15 - -1/3. Which is smaller: b or h?
b
Let r(y) = -y + 5. Let t = 1 - -5. Let p be r(t). Let x(w) = -3*w + 1. Let l be x(p). Which is greater: l or 3?
l
Suppose 5*f = 5*p + 1 - 6, 4*p - 4 = -f. Suppose -7*b + 4*b = 6. Let n = b + 4. Which is smaller: p or n?
p
Suppose -4 = -s - 13. Suppose 3*v + 23 = -h, 4*v - 4*h = -0*h - 36. Is s < v?
True
Let v be 61/(-21) - (-9)/9 - -2. Is 1 at least v?
True
Let u = 158 + -148. Which is greater: 55/6 or u?
u
Let v be 44/6*(-6)/(-4). Suppose 3*g - 5*n = -v, -5*g = 2*n - 20 - 3. Let t(r) = r**3 + 2*r**2 - 3*r - 3. Let l be t(-2). Does g = l?
True
Suppose -o + 3 = -5*r, -5*o + 8 + 7 = -5*r. Is 1 > r?
True
Let n = 2773/17 - 163. Let p = -20 - -19. Is n at least as big as p?
True
Let x = 0.03 - -1.27. Let g = x - 1.1. Is g less than 1?
True
Let f = 134 - 136. Suppose -4*v = 8 + 4. Which is smaller: f or v?
v
Suppose -o - 8 = -7. Let c be (-959)/(-10) + 1/(-2). Let i = c - 95. Is i at least o?
True
Let k be 2/(-8) - 9/12. Let g = -356/3 + 117. Is g greater than k?
False
Let r(a) = a**3 + 2*a**2 - 3*a + 2. Let j be r(-3). Suppose b + b = -j. Let t = -4/17 - 9/34. Which is smaller: t or b?
b
Suppose 4*c + 2 = 3*l, 2*c - 6 = -2*c - l. Suppose 3*t - 2*d - 4 = 0, -2*t = 2*t - 4*d - 8. Which is smaller: t or c?
t
Let v = 100 - 115. Is v greater than or equal to -0.4?
False
Let c = 13.8 - 18. Let z = c + 4. Is -4 > z?
False
Suppose -2 = -z + 2*z. Suppose 5*t + 1 = -4. Which is smaller: z or t?
z
Let j(l) = l**3 + 6*l**2 - 7*l + 4. Let s be j(-7). Suppose 5*z - r + s = 0, 3*r = z + 6 + 6. Which is bigger: -1 or z?
z
Let x = 4 + -4. Is 0.1 less than x?
False
Let i = 1.6 - 1.3. Let b = 2 - 1. Let y = 0 + b. Do i and y have different values?
True
Let f be (-2)/6 + 50/15. Let n be 69/(-21) - 4/(-14). Let o = n + 6. Is f at least as big as o?
True
Let w be (-38)/(-5) - 12/(-30). Which is bigger: w or 4?
w
Let s be 15 + -16 - (0 - 1). Let m be (-2 - s)*(-80)/(-32). Which is greater: 0 or m?
0
Let y(s) = 11*s + 13. Let k be y(-3). Are k and -20 non-equal?
False
Suppose -4*n + 9*n - 75 = 0. Let f be 3/((n/(-4))/5). Let p be (10/f)/(5/(-10)). Which is smaller: p or 6?
p
Let f(m) = 2*m - 4*m + m - 4. Let j be f(-4). Which is smaller: j or 2/29?
j
Let u(z) = 6*z**2 - 10*z + 51 - 49 - z**2 - 4*z**2. Let w be u(10). Which is bigger: w or 4?
4
Let n(o) = o**2 + 5*o - 6. Let t be n(-7). Suppose -t*f = -5*f - 18. Is 6 >= f?
True
Let x = 24119677/25 - 964642. Let g = x + -145. Is -0.1 at least as big as g?
False
Suppose 2*z + 1 = 11. Suppose 5*o + 6 = -t, 4*t - t - z*o - 2 = 0. Which is greater: t or -2?
t
Let i be 4 - 52/12 - (-4)/72. Do i and 1 have the same value?
False
Let h = 8 - 8. Which is smaller: h or 1/3?
h
Let u be (-18)/12 + (-22)/(-4). Let a be u + -5 + 2 + -2. Are 5 and a equal?
False
Let t = -1 - -0.9. Let f(q) = q**2 - 6*q - 8. Let d be f(8). Let m = d + -8. Which is greater: m or t?
m
Let k = 109236 + -365612889/3347. Let b = -528841/16735 + k. Let x = b + 32. Which is bigger: -1 or x?
x
Let i | {
"pile_set_name": "DM Mathematics"
} |
-12)/9)*-3. Does 2 divide k*(-2)/4*2?
True
Let w be 6/18*(-3)/(-1). Let g be 3/12 - w/4. Suppose -2*f + 105 - 3 = g. Is 22 a factor of f?
False
Suppose 6*w = 49*w - 774. Is 6 a factor of w?
True
Let a(w) = -w**2 - 12*w - 11. Suppose 5*g - 4 = g, 4 = -3*y + g. Let c(h) = -9*h**2 + 2*h + 1. Let n be c(y). Does 3 divide a(n)?
True
Let d(k) = -6*k - 10. Let z be d(-3). Suppose 0 = -3*q + 5*n + 389 + z, -4*q - 5*n = -541. Is q a multiple of 24?
False
Let r = -485 - -2109. Is r a multiple of 28?
True
Suppose -9*n + 0*n = -198. Is 4 a factor of (1 + 7)/(-21 + n)?
True
Let o(k) = k**2 + 5*k + 5. Let b be o(-5). Suppose -b*r = -6*r + 5. Suppose -r*y - 5 - 126 = -3*t, -t + 40 = 2*y. Is t a multiple of 10?
False
Suppose 4*t + 5*a = 10, 0*t - 14 = -2*t + 2*a. Suppose -5*y = -3*x - 607 - 4, -4*y - t*x + 474 = 0. Does 25 divide y?
False
Let b = -20 - -25. Suppose -v + w + 6 = -6, b*w = 4*v - 45. Does 2 divide v?
False
Suppose 824 = 2*j - 3*x, 0*j + x = -5*j + 2094. Is 18 a factor of j?
False
Let x(q) be the first derivative of q**4/4 - 4*q**3/3 + 3*q**2/2 - 4. Does 10 divide x(6)?
True
Let s(v) = 289*v**2 - 11*v - 8. Is s(-2) a multiple of 15?
True
Suppose 18*o = 4329 - 1593. Is 8 a factor of o?
True
Let k be (2 + (-28)/12)*-27. Suppose 326 = 5*q - k. Suppose -1 = l - q. Does 22 divide l?
True
Suppose 2504 + 584 = 8*g. Is 6 a factor of g?
False
Let u(c) = c**3 - 3*c**2 + c. Let h be u(3). Suppose 2*k + 3*j - 207 = -k, 0 = h*j. Is 23 a factor of k?
True
Suppose 5*i + 2*m - 5324 = 0, 10*m - 6*m + 5312 = 5*i. Does 76 divide i?
True
Suppose 2*d + 10 - 4 = 0. Does 10 divide (6/12)/(d/(-498)) - -2?
False
Let v be 0/1 + 50/2. Suppose 3*n + 6*p - 31 = p, -v = -5*p. Is 11 a factor of 6 + -4 - (-47 - n)?
False
Suppose -3*d + p = -509, -11*d - 335 = -13*d + 5*p. Does 16 divide d?
False
Let n(b) = -5*b + 25. Let j be n(-5). Suppose -94 - j = -p. Is p a multiple of 12?
True
Does 7 divide 2/(-14) - (-30)/210 - -772?
False
Suppose 7*g - 11*g + 1112 = 0. Does 19 divide g?
False
Suppose 239 = 2*w + 223. Let n(a) be the third derivative of a**5/60 - a**4/8 + 7*a**3/3 + a**2. Is 16 a factor of n(w)?
False
Let d = -5 - -7. Suppose -b + 160 - 27 = d*v, -5*b + 325 = 5*v. Is 17 a factor of v?
True
Let s(b) = -14*b - 132. Does 23 divide s(-29)?
False
Let k be -153 + (-4)/(-18) + (-125)/(-45). Let l = -38 - k. Is l a multiple of 28?
True
Is (-30)/4*1848/(-110) a multiple of 8?
False
Let f(o) = -o**2 + 9*o - 15. Let h be f(6). Let c = 22 + -10. Is 2 a factor of 39*(h - 32/c)?
False
Suppose 12 = 7*p - 3*p. Let b(j) = j**3 - 3*j**2 + j. Let y be b(3). Suppose 0 = p*g + y*u - 147, 3*g + 8*u - 137 = 3*u. Is 14 a factor of g?
False
Let o(c) = 4*c**2 + c - 1. Let p be o(1). Let q(w) = -w**3 - 4*w**2 - 2*w. Let i be q(-4). Suppose -v + 3*t = -16, 0 = -p*v - 4*t + 8 + i. Is v a multiple of 2?
False
Suppose 4 = 4*f, 4*z + 0*z - 5*f = 279. Suppose -z = -4*p + 221. Is p a multiple of 11?
False
Let i(l) be the first derivative of 29*l**2/2 + 5*l - 10. Is i(2) a multiple of 16?
False
Let s(n) = -32*n - 116. Does 18 divide s(-25)?
True
Suppose c - 5 + 2 = 0. Is (-1 + c + -3)/(3/(-231)) a multiple of 7?
True
Let u be -5 + 8 + 0 + -1 + -34. Does 9 divide (u/(-12) + 2)*3?
False
Let o = -61 - -530. Is o a multiple of 74?
False
Suppose -4*j - 9 = -21. Suppose 0 = -j*r - 15, 3*z = -0*z - 4*r + 274. Is z a multiple of 23?
False
Let q be -25 - (-1 + 0) - 2. Let l = q - -34. Let z(x) = -x**2 + 15*x + 9. Is z(l) a multiple of 13?
True
Let z(l) = 7*l**2 - 7*l + 12. Let y(q) = -q**2 - q. Let i(n) = -6*y(n) - z(n). Is 9 a factor of i(10)?
True
Suppose -3*y + m - 31 = -4*m, -5*y + 3*m - 25 = 0. Let t be -5*((-13)/(-5) + y). Let f(q) = -3*q**3 - 2*q**2 - 2*q - 5. Is 16 a factor of f(t)?
True
Let y(q) = -q + 16. Let n be y(4). Suppose -102 = -r - 5*v, 4*v + 0*v - n = 0. Suppose -4*x = -5*f - r, f + 18 = x - 3. Is x a multiple of 12?
False
Is 900/20*2/(-5)*-2 a multiple of 12?
True
Let w(r) = 2*r**2 + 7*r - 4. Let i be w(-7). Suppose -4*a + 6*b = 2*b - 88, -3*a - 4*b = -i. Let k = -9 + a. Is k a multiple of 5?
True
Let h = 1179 - 1087. Is 4 a factor of h?
True
Let c = 34 + -19. Suppose -c*t = -11*t - 336. Is 12 a factor of t?
True
Suppose -13 = -5*n + 7. Suppose -n*l = g + 4*g - 52, 3*l = -5*g + 54. Does 12 divide (-34)/(-3) - (-8)/g?
True
Let i(d) = 418*d**3 - 7*d**2 + 11*d - 6. Does 5 divide i(1)?
False
Let x = -2071 - -3072. Is 83 a factor of x?
False
Let q(y) = -112*y**3 + 3*y**2 - 5*y + 6. Let n(x) = -x**3 - x**2 + x - 1. Let s(a) = 5*n(a) + q(a). Does 31 divide s(-1)?
False
Let y(p) = 10*p**2 + 2*p. Let i be y(-1). Let w(u) = -8 - 3 + u**3 - 2*u**3 + i*u**2 + 3*u. Is 3 a factor of w(8)?
False
Let z(r) = -r - 13. Let j(o) = o. Let y(s) = -6*j(s) - z(s). Is y(0) even?
False
Suppose -2*b - 178 = -180. Let f(j) = 16*j**3 + 3*j**2 - 4*j + 2. Is 17 a factor of f(b)?
True
Suppose -238*f - 3326 = -240*f - 2*g, 2*f - g = 3326. Is 38 a factor of f?
False
Suppose 0 = 9*q - 12*q + 6. Suppose -3*i + 268 = 4*y, -2*y + 108 = -3*i - q*i. Is y a multiple of 11?
False
Suppose 22*i + 4*i = 41912. Is 31 a factor of i?
True
Let j be -1 + 22/4 + 60/(-40). Suppose j*k = -k + 600. Is 15 a factor of k?
True
Suppose 5*k = 2*w + 23, -5 = -2*w - 3. Let t(a) = 7*a - 10. Is 8 a factor of t(k)?
False
Is (-4 + -24)/(2/(-13)) a multiple of 7?
True
Let n = 63 - 83. Let j(x) = x**2 + 16*x - 12. Is j(n) a multiple of 34?
True
Let m(w) = -w**3 + 5*w**2 + 7. Suppose k - 25 = -4*k. Let a be m(k). Suppose -8 = -g + a. Is g a multiple of 15?
True
Let g = 71 - 60. Suppose -2*j + 43 = c, -6*j + g*j = 4*c - 107. Is c a multiple of 11?
True
Let v = 1181 + -468. Does 63 divide v?
False
Let h be 16/3*99/(-12). Is 13 a factor of 365/4 - (-11)/h?
True
Suppose 27*a = -0*a + 62694. Does 27 divide a?
True
Let v = 540 - 443. Does 32 divide v?
False
Let y(a) = -a**3 - a - 11*a**3 - 1 - a + a. Let l be y(-1). Let f = -5 + l. Is f a multiple of 7?
True
Let t(x) = -3*x**2 + 3*x. Let j be t(2). Let y be j + (-8)/(-2) - -6. Suppose 3*u - 3*l - 27 = 0, 0*u = -y*u + l + 36. Is 7 a factor of u?
False
Suppose -x = -3*x. Suppose -2*a - 4*l + 92 = x, -2*l - 12 - 54 = -a. Does 14 divide a?
True
Suppose -4*c = 5*w - 58, -3 = -w + 3*c + 1. Let z be (w/8)/(10/40). Suppose 5*f - 207 = 3*n - 0*n, f + z*n - 47 = 0. Does 14 divide f?
True
Suppose -48 = 11*x - 9*x. Does 9 divide (-2168)/x - (-2)/(-6)?
True
Suppose 16*i - 6864 = 3*i. Is i a multiple of 44?
True
Suppose -2*v + 8 = -0*v. Suppose -150 = -9*n + v*n + 4*s, 4*n = -2*s + 120. Is (0 + -3)*(-530)/n a multiple of 18?
False
Let i be (-1)/((-4)/24*1). Suppose 7*x = -x + 24. Suppose 5 = -g, i*s - g = x*s + 185. Is s a multiple of 12?
True
Let s = 66 - 2. Suppose -4 = -3*l + 5. Suppose -l*o = -2*o - 1, 5*o - s = -y. Is 15 a factor of y?
False
Let g be 3/(2 + (-5)/4). Suppose h = g*h. Suppose h*l + 34 = l. Is l a multiple of 17?
True
Let m(t) = 65*t**2 + 21*t - 4. Does 23 divide m(3)?
True
Let b(a) = 43*a**2 - 7*a - 24. Does 24 divide b(-4)?
False
Let d = 12 + -4. Suppose 3*w = -12, -5*w - 27 = 3*y - 1. Let s = d + y. Does 3 divide s?
True
Suppose 0 = 3*d - 2*q - 18, 31 = 6*d - 2*d - 5*q. Suppose 0 = 5*i - d - 56. Is 12 a factor of i?
True
Let x = -1111 + 3957. Is 27 a factor of x?
False
Let b(z) = -z**3 + 3*z**2 - 3*z - 1. Let j be b(2). Is 88 - (-2)/(j + 1)*-2 a multiple of 16?
False
Let p = -54 - -37. Let k = p + 12. Does 11 divide (66/10)/((-1)/k)?
True
Suppose -22*i + 17*i = -40. Suppose 2*o + 630 = i*o. Is 22 a factor of o?
False
Let n be (-42)/8 + 2/8. Let m(r) = -r**3 - 3*r**2 + 8. Is 11 a factor of m(n)?
False
Suppose -2144 = 4*h - 4*r, 0 = -r + 5*r - 16. Let f = -376 - h. Let d = f - 111. Is 23 a factor of d?
False
Suppose 2*r + 0*f = -4*f + 514, 5*r - 2*f - 1225 = 0. Is 19 a factor of r?
True
Suppose -10*s + s + 45 = 0. Is s even?
False
Let t = 14 - 20. Let d(s) = -s**3 - 6*s**2 + s + 1. Let m(r) = -r**3 - 6*r**2 + r. Let w(v) = 2*d(v) - 3*m(v). Does 8 divide w(t)?
True
Let b be 24/(-9)*(-9)/12. Suppose -7*j + b*j + 150 = 0. Is 3 a factor of j?
True
Let q be (-18)/(-10) - 1/(-5). Suppose -4*n + 5*n = -q. Does 29 divide 107/(-4)*2*n?
False
Does 23 divide 15933/63 + 12/126?
True
Suppose -3*z - 5*i + 4013 = 0, -23*z + 25*z - i = 2658. Is z a multiple of 81?
False
Suppose 4*z = -10 + 38. Suppose -3*v + z = -38. Suppo | {
"pile_set_name": "DM Mathematics"
} |
t is the second derivative of -50*i - x*i - 1 + 153*i - 48*i - 81*i**3 wrt i?
-486*i
Find the second derivative of -2461*n - 9 + 916*n**2 + 2468*n + 586*n**2 wrt n.
3004
Let c(u) be the first derivative of 43*u**4/4 + 44*u**3/3 + u**2/2 - 279*u - 3103. What is the second derivative of c(g) wrt g?
258*g + 88
Let y(g) be the third derivative of -89/6*g**3 + 7 + 0*g**4 - 14*g**2 - 41/30*g**5 + 0*g. Find the first derivative of y(z) wrt z.
-164*z
Let b = 4/1941 + 5803/9705. Let j(n) be the first derivative of 19/3*n**3 + 0*n**2 + 0*n**4 - 17 + b*n**5 + 0*n. What is the third derivative of j(u) wrt u?
72*u
Let v = -128 - -133. Find the third derivative of -u**2 + 2*u**3 - 4*u**v - u**3 - 1234*u**4 + 1234*u**4 + 6*u wrt u.
-240*u**2 + 6
Suppose -4*l = 5*q + 67, -2*l + l = -3*q + 21. Let g be -4 + 76/18 + (-50)/l. What is the first derivative of -12*v - g*v + v - 4 + 11 wrt v?
-14
Let n(r) be the second derivative of 0*r**4 + 1/3*r**3 - 1 + 15*r - 83/2*r**2 + 5/4*r**5. Differentiate n(d) wrt d.
75*d**2 + 2
Let l(a) = a**2. Suppose 7*r = -24 + 10. Let y(n) = 112*n**2 - 3*n. Let o(c) = r*l(c) - y(c). Find the second derivative of o(q) wrt q.
-228
Suppose 2*w + 26 = n, 4*w + 6*n - n + 24 = 0. Let l = -9 - w. Find the first derivative of -10*y**2 + y**2 - 7 - 4*y**l - 8 wrt y.
-26*y
Let h = 125 - 120. Find the second derivative of h*q - 19*q + 47*q**5 - 5*q - 167*q**5 + 8 + 5*q wrt q.
-2400*q**3
Let s be (-5)/20 - ((-231)/12 + -1). Suppose 0 = -9*j + s + 25. What is the second derivative of o**5 - 2*o - 2*o**j - 8*o wrt o?
-20*o**3
Let j(s) = 1361*s**2 - 12*s - 141. Let l(y) = 4077*y**2 - 34*y - 421. Let f(z) = -17*j(z) + 6*l(z). What is the first derivative of f(c) wrt c?
2650*c
Let p be (1/(-2))/(3/(-282)). What is the second derivative of -20228*u**3 + 14*u**5 + p*u - 3*u**2 + 20228*u**3 wrt u?
280*u**3 - 6
Let u(o) = o**3 - o**2 + 9*o. Let f(i) = -1586*i**3 - 9*i**2 + 81*i - 1349. Let b(x) = -f(x) + 9*u(x). What is the derivative of b(z) wrt z?
4785*z**2
Suppose -7 = 3*p - 6*p - c, 5*p + 4*c - 14 = 0. What is the derivative of 4*s**4 + p*s**4 - 5 - 3 + 0 wrt s?
24*s**3
Let b(g) be the second derivative of -657*g**8/56 - 9*g**4/4 - 755*g. Find the third derivative of b(j) wrt j.
-78840*j**3
Suppose -b + 29 = -5*h - 10, 5*b - 3*h - 305 = 0. Find the third derivative of 4*n - b*n**4 - 4*n + 102*n**4 + 17*n**2 wrt n.
912*n
Suppose 24*l + 1 - 97 = 0. Let s(a) be the first derivative of 12 + 5/2*a**l + 2*a + 0*a**2 + 0*a**3. Differentiate s(i) with respect to i.
30*i**2
Let c(h) = 9*h**2 + 33 + 6*h**2 + 3*h**2 + 26*h**2. Let d(f) = -2*f**2 + f - 1. Let a(b) = -c(b) - 2*d(b). What is the second derivative of a(i) wrt i?
-80
Let z(k) be the third derivative of -5*k**6/8 - 4*k**5/15 + 607*k**3/6 - 13*k**2 - 6*k. What is the derivative of z(y) wrt y?
-225*y**2 - 32*y
Let h = -144 - -158. Differentiate -67*u**4 - 7 + h - 24*u**4 wrt u.
-364*u**3
Let t(u) be the third derivative of 599*u**7/210 + u**5/12 + u**4/8 - 13*u**3/2 - 4058*u**2. What is the third derivative of t(d) wrt d?
14376*d
Differentiate 423 + 106*z + 8*z**2 + 328 - 1211 - 1047 - 54*z with respect to z.
16*z + 52
Let y(v) be the first derivative of 0*v**4 + 13/3*v**3 - 4*v + 192 - 2/5*v**5 - 3*v**2. Find the second derivative of y(s) wrt s.
-24*s**2 + 26
What is the third derivative of 43*b**5 + 6*b**2 + 361*b**5 + 822*b**2 wrt b?
24240*b**2
Suppose -4*c - 34 = -0*c + 2*u, 25 = 5*u. Let m = 5 - c. Differentiate -m - 526*n**2 + 31*n**3 + 526*n**2 with respect to n.
93*n**2
Let x(y) be the first derivative of -197*y**3/3 - 3*y**2 + 3599*y - 100. Differentiate x(r) with respect to r.
-394*r - 6
What is the second derivative of -176823*j**3 + 5*j - 1463*j**4 - 3*j - 971 + 176823*j**3 wrt j?
-17556*j**2
Let w(u) be the third derivative of 2*u**2 + 13/2*u**3 + 29/12*u**4 + 0 - 61*u. Differentiate w(k) with respect to k.
58
Let g(l) be the first derivative of 1534*l**3/3 - 355*l**2 - 417. What is the second derivative of g(b) wrt b?
3068
Find the third derivative of -2*b**5 + 1133*b**3 - 1749*b**2 - 1944*b**2 - 41*b**3 wrt b.
-120*b**2 + 6552
Find the second derivative of -65076*w**5 + 65224*w**5 - 2*w + 726 - 5*w**2 + 111 + 3*w wrt w.
2960*w**3 - 10
Find the first derivative of 36*q - 650 - 664 + 96*q - 12*q - 43 wrt q.
120
Find the second derivative of 0*d - 14*d**2 - 86*d**4 + 23*d + 116*d**4 + 17 - 2*d - 4 wrt d.
360*d**2 - 28
Suppose 11*v = -2*i + 12*v + 9, 4*i = -3*v - 7. What is the second derivative of 5 - 55*j**2 + j**5 + 0*j**5 - 19*j + 0*j**5 - 96*j**4 + 55*j**i wrt j?
20*j**3 - 1152*j**2
Let w(j) be the second derivative of 20*j**6/3 + 157*j**4/4 - 2*j + 1686. What is the third derivative of w(x) wrt x?
4800*x
Let h(f) be the third derivative of -4*f**9/3 - f**5/20 - 17*f**4/24 - 857*f**2. Find the third derivative of h(j) wrt j.
-80640*j**3
Let r(i) = 900*i**3 + 157*i**2 + 7*i + 190. Let a(d) = -d**3 - 32*d**2 - d - 2. Let j(y) = 5*a(y) + r(y). Differentiate j(l) with respect to l.
2685*l**2 - 6*l + 2
Find the third derivative of -1561*j + j**2 + 2*j**4 - 12315*j**6 + 13316*j**6 - 15 + 15 wrt j.
120120*j**3 + 48*j
Let u(i) be the first derivative of 2*i**7/7 + 394*i**5/5 - 7*i**3/3 - 244*i + 528. What is the third derivative of u(p) wrt p?
240*p**3 + 9456*p
Let v = -123 - -127. What is the second derivative of -5*q + v + 1132*q**2 - 2 - 1168*q**2 wrt q?
-72
What is the third derivative of -181*j**2 + 458*j**3 + 967*j**2 + 1052*j**2 wrt j?
2748
Find the second derivative of -4740*p - 156*p**3 + 231*p**3 + 741*p**3 + 702*p**3 - 448*p**3 wrt p.
6420*p
Let t(c) = 7*c**2 - 37*c - 148. Let z be t(8). Let j(f) be the first derivative of 22 - z*f - 17/2*f**2. Differentiate j(m) wrt m.
-17
Let j(d) be the first derivative of -2867*d**2 - 1429*d - 3757. Differentiate j(a) wrt a.
-5734
Let o be 16/(-6)*18/(-8). Let h(d) = -d**3 + 11*d**2 + 150*d + 43. Let f be h(19). Find the second derivative of -34*q + 4*q**f - 2*q**5 + o*q wrt q.
40*q**3
Let u(p) = -146*p + 97. Let y(f) = 149*f - 96. Suppose -5*r + 5 - 35 = 0. Let g(j) = r*u(j) - 5*y(j). What is the first derivative of g(o) wrt o?
131
Let t(g) be the second derivative of -g**6/15 - g**4/4 + 158*g**3/3 - 1435*g**2/2 + 151*g + 11. What is the derivative of t(w) wrt w?
-8*w**3 - 6*w + 316
Suppose 0 = -3*u + 6*u + 3. Let z be (7 - 10) + (-48)/u. Find the second derivative of -18*w**4 + z*w**4 - 20*w**4 + 11*w wrt w.
84*w**2
What is the third derivative of 440*r**5 + 1908*r**2 + 415*r**5 - 499*r**5 wrt r?
21360*r**2
What is the first derivative of -375 + 1023*f - 23 - 215 - 335 wrt f?
1023
Let k = -86 + 168. What is the second derivative of -39 - 52 + 88 - k*i**5 - 2*i - 2*i wrt i?
-1640*i**3
Let j = -252 - -312. Find the first derivative of -25 - j*u**3 + 14 - 16 - 97*u**3 - 9 wrt u.
-471*u**2
Suppose -1568 = -4*x + 4*p, 275 = -3*x + 4*p + 1451. Find the third derivative of 182*c**2 - x*c**2 + 190*c**2 - 4 + 107*c**3 wrt c.
642
Let o(r) = 2*r**2 + r + 1. Let f(b) = -877*b**3 + 950*b**2 - 5*b - 5. Let i(v) = f(v) + 5*o(v). Find the third derivative of i(m) wrt m.
-5262
What is the third derivative of 149*s - 17*s**5 + 394*s**2 + 392*s**2 - 149*s + 31*s**5 - 118*s**4 wrt s?
840*s**2 - 2832*s
Let j(u) = -2*u**3 + 12*u + 390. Let z(o) = -o**4 - 4*o + 1. Let n(i) = -j(i) - 4*z(i). What is the second derivative of n(g) wrt g?
48*g**2 + 12*g
Let r(k) be the second derivative of -4*k**7/105 + 3*k**5/4 + 4*k**2 + 46*k. Let f(d) be the first derivative of r(d). Find the third derivative of f(b) wrt b.
-192*b
Let t(q) = 62*q - 61. Let d(o) = -63*o + 62. Suppose 0 = -18*z + 95 - 5. Let a(y) = z*t(y) + 4*d(y). Differentiate a(j) with respect to j.
58
Suppose 81*i - 74*i = 77. Find the first derivative of -8*o - i*o**2 + 11 - 5*o**3 + 11*o**2 + 12*o wrt o.
-15*o**2 + 4
Let p(j) be the second derivative of 65/6*j**3 - 41*j**2 + 0 + 114*j. Find the first derivative of p(q) wrt q.
65
Let o(q) = -3193*q**2 - q - 4039. Let h(z) = 3195*z**2 + z + 4015. Let p(k) = 5*h(k) + 6*o(k). What is the second derivative of p(x) wrt x?
-6366
Find the third derivative of 2018*g**5 - g**6 - 60654272 - 4*g + 60654273 + 50*g**2 - 840*g**5 wrt g.
-120*g**3 + 70680*g**2
Let y(x) be the third derivative of -2*x + 1/24*x**6 + 0 + 31/24*x**4 + 0*x**3 - 1/60*x**5 - 35*x**2. Find the second | {
"pile_set_name": "DM Mathematics"
} |
ement from uuaqqquwuuuu. What is prob of sequence aqw?
1/440
Calculate prob of sequence oouu when four letters picked without replacement from {d: 1, o: 2, u: 4}.
1/35
Two letters picked without replacement from {l: 3, s: 3, n: 1, u: 3, d: 1, x: 2}. Give prob of sequence ls.
3/52
Four letters picked without replacement from qooie. What is prob of sequence ioqo?
1/60
What is prob of sequence nmmx when four letters picked without replacement from vvvmmvvnxxxv?
1/1980
Three letters picked without replacement from {f: 2, o: 2, j: 7, b: 2, y: 4}. Give prob of sequence ojy.
7/510
Four letters picked without replacement from mimmimmmmii. What is prob of sequence mmii?
7/110
Four letters picked without replacement from {z: 12, d: 1, a: 3}. Give prob of sequence adza.
3/1820
Calculate prob of sequence hhww when four letters picked without replacement from uhuhwhwh.
1/70
Calculate prob of sequence oc when two letters picked without replacement from {e: 1, z: 3, j: 2, o: 3, q: 2, c: 4}.
2/35
What is prob of sequence ov when two letters picked without replacement from {d: 3, h: 4, v: 2, g: 2, o: 1}?
1/66
Three letters picked without replacement from {a: 3, e: 3, z: 7, b: 3, j: 1, o: 2}. What is prob of sequence zzo?
14/969
What is prob of sequence ss when two letters picked without replacement from msms?
1/6
Three letters picked without replacement from laiawiwlfzfl. What is prob of sequence iiz?
1/660
Calculate prob of sequence zjiz when four letters picked without replacement from ggiziiggiigijgizgij.
1/2907
Four letters picked without replacement from qwfqkwq. What is prob of sequence fwwk?
1/420
Four letters picked without replacement from vrxeex. Give prob of sequence xxve.
1/90
Four letters picked without replacement from ggggbytbggyg. What is prob of sequence ygbb?
7/2970
Four letters picked without replacement from pppppspppppppssppppp. What is prob of sequence sssp?
1/1140
Calculate prob of sequence anaa when four letters picked without replacement from aaaaaaaaaaaaanaaaan.
5/57
Three letters picked without replacement from {r: 1, f: 6, g: 9, d: 3}. What is prob of sequence gdg?
12/323
Four letters picked without replacement from mgmgmmgm. Give prob of sequence mmgm.
3/28
Three letters picked without replacement from {b: 2, p: 2, i: 2}. What is prob of sequence pii?
1/30
Two letters picked without replacement from {x: 2, q: 3, k: 3}. What is prob of sequence kq?
9/56
Three letters picked without replacement from {c: 4, j: 6, p: 2}. Give prob of sequence pcp.
1/165
Three letters picked without replacement from rlmenrllneertnnrrle. What is prob of sequence mte?
2/2907
Four letters picked without replacement from ihhhhhzhhhhjbzczhzh. Give prob of sequence jihb.
11/93024
Two letters picked without replacement from wcgggewg. Give prob of sequence gc.
1/14
Two letters picked without replacement from hlluhlvhlh. What is prob of sequence lh?
8/45
What is prob of sequence xx when two letters picked without replacement from {y: 3, x: 5, w: 2, i: 5, k: 1}?
1/12
Two letters picked without replacement from wanccnccwwwac. Give prob of sequence cn.
5/78
What is prob of sequence aca when three letters picked without replacement from aaacaaaacaca?
9/55
What is prob of sequence tttu when four letters picked without replacement from nnttuuuutnnu?
1/396
What is prob of sequence ds when two letters picked without replacement from ddhhdhdhhhsdddddshdd?
11/190
Calculate prob of sequence pd when two letters picked without replacement from mtttdmdtdttpdddmt.
3/136
Three letters picked without replacement from wqwqwqq. Give prob of sequence qww.
4/35
What is prob of sequence fg when two letters picked without replacement from hdghggdfgdgdfsg?
2/35
What is prob of sequence xd when two letters picked without replacement from pppgxgdgcgbcpxxpcpg?
1/114
Two letters picked without replacement from ddddddddwwwdddddddwd. Give prob of sequence dw.
16/95
Calculate prob of sequence ljmt when four letters picked without replacement from {m: 1, x: 1, l: 1, j: 1, t: 1}.
1/120
What is prob of sequence xf when two letters picked without replacement from {r: 1, x: 4, f: 5}?
2/9
What is prob of sequence ss when two letters picked without replacement from iioshhhohhhhiisshhh?
1/57
Two letters picked without replacement from sxssxxx. Give prob of sequence xx.
2/7
Calculate prob of sequence tk when two letters picked without replacement from {k: 8, t: 4, f: 2, h: 1}.
16/105
Calculate prob of sequence gdff when four letters picked without replacement from {g: 6, f: 6, d: 3}.
3/182
Calculate prob of sequence mke when three letters picked without replacement from {m: 4, e: 2, k: 3}.
1/21
What is prob of sequence ixx when three letters picked without replacement from {v: 2, x: 6, i: 1, b: 2}?
1/33
Four letters picked without replacement from peqqqqqqqqeee. What is prob of sequence qqqe?
56/715
What is prob of sequence ooo when three letters picked without replacement from {o: 4, v: 7, h: 7}?
1/204
Calculate prob of sequence cjjc when four letters picked without replacement from jcjc.
1/6
Four letters picked without replacement from {p: 2, s: 10, l: 2, k: 2, x: 1, e: 1}. Give prob of sequence lpxs.
1/1836
What is prob of sequence lsq when three letters picked without replacement from {l: 1, s: 1, q: 1, y: 1, r: 1}?
1/60
Calculate prob of sequence tpdp when four letters picked without replacement from tttttttttptttpdpd.
3/1190
What is prob of sequence qub when three letters picked without replacement from ftutfqbttbfuqtbtbtbt?
1/342
Calculate prob of sequence iiii when four letters picked without replacement from iiii.
1
Calculate prob of sequence ouoo when four letters picked without replacement from onnounnuoono.
1/99
Two letters picked without replacement from njnnmnjjoojonn. What is prob of sequence no?
9/91
Two letters picked without replacement from {l: 3, d: 1, e: 1, b: 1, v: 6}. Give prob of sequence vv.
5/22
Calculate prob of sequence sss when three letters picked without replacement from {s: 10}.
1
What is prob of sequence ee when two letters picked without replacement from xsesssxecc?
1/45
What is prob of sequence rl when two letters picked without replacement from {b: 9, l: 5, r: 2}?
1/24
Four letters picked without replacement from hrhohrohos. What is prob of sequence sroh?
1/210
Four letters picked without replacement from vvvvvvlv. What is prob of sequence lvvv?
1/8
Calculate prob of sequence sx when two letters picked without replacement from xtstttxtttttttyttsy.
2/171
What is prob of sequence kk when two letters picked without replacement from ootookkotno?
1/55
What is prob of sequence gwgg when four letters picked without replacement from ufffggwuuugfgggguw?
7/1224
Calculate prob of sequence eee when three letters picked without replacement from eeweeeeeeeeee.
10/13
What is prob of sequence wj when two letters picked without replacement from {w: 4, m: 2, j: 6}?
2/11
Calculate prob of sequence mcmi when four letters picked without replacement from icmmccmcccccccc.
11/5460
Calculate prob of sequence icch when four letters picked without replacement from chihhhihc.
5/756
Two letters picked without replacement from kkmmkkmkmkk. Give prob of sequence mk.
14/55
What is prob of sequence abgg when four letters picked without replacement from bgagg?
1/20
Three letters picked without replacement from {q: 3, g: 4}. What is prob of sequence gqq?
4/35
Two letters picked without replacement from {o: 6, m: 4, v: 4, f: 1}. Give prob of sequence mv.
8/105
What is prob of sequence eme when three letters picked without replacement from {m: 9, e: 5}?
15/182
What is prob of sequence zg when two letters picked without replacement from grzriigggggggigkgzz?
5/57
Two letters picked without replacement from mtmmtt. Give prob of sequence mm.
1/5
Two letters picked without replacement from tjumkbbum. What is prob of sequence jt?
1/72
What is prob of sequence uu when two letters picked without replacement from {v: 5, u: 2}?
1/21
Two letters picked without replacement from {j: 4, c: 1, a: 1, h: 2, m: 7}. What is prob of sequence cm?
1/30
Calculate prob of sequence nzh when three letters picked without replacement from hzakawzwn.
1/252
What is prob of sequence nw when two letters picked without replacemen | {
"pile_set_name": "DM Mathematics"
} |
0 = -2*l - 0*l - 3*o + 36. Let c be ((-1)/(-3))/((-20)/l). What is the biggest value in c, 5, 3?
5
Let i be (-2 - (0 - 2))/2. Let l be (-6)/(-21) - (-13)/((-91)/4). What is the third biggest value in i, -3, l?
-3
Let u = 7484 - 7485. Let j = 2.6 + -0.6. Which is the third biggest value? (a) -2 (b) j (c) u (d) 3/2
c
Let f be (-12)/(-64)*1*8/(-12). What is the smallest value in f, 4/3, -1/2?
-1/2
Let j = -3.1 - -3.3. Suppose 0 = s - 2 + 6. Suppose 0*t + 4*d + 7 = 3*t, 2*t + 4*d = -22. Which is the third biggest value? (a) j (b) t (c) s
c
Suppose 4*o = -3 - 5, -18 = 3*a + 3*o. Let t = 1649 + -6595/4. What is the biggest value in 3, a, t?
3
Let a be (-670)/130*(0 - 1) - (-18)/(-117). Let b = 0.13 - 12.13. Let l = b + 7. What is the third biggest value in a, -0.4, l?
l
Suppose 2*x - 6*x + 216 = 0. Let a = 49 - x. What is the second smallest value in 2/3, a, 1/18?
1/18
Suppose -5*x + 6 = -4*a - 2, 5*x = -3*a - 6. What is the smallest value in a, -0.06, -4?
-4
Let k be (154/(-44) + 1)*2/(-1). Which is the third smallest value? (a) -0.1 (b) 5/7 (c) k
c
Let t = 283 - 282.904. What is the third biggest value in 0.1, 1, t?
t
Let h = -27 + 39. Let t = 29 - 15. Let m = t - h. What is the biggest value in 3/5, 2/7, m?
m
Let d(p) = -p**3 - 4*p**2 - p. Let w be d(-3). Suppose 34 - 40 = -3*z. Let q = 0.3 - 0.4. Which is the second smallest value? (a) z (b) q (c) w
b
Let l = 1 + -1.3. Let p = -3.7182 + 1.7182. Which is the smallest value? (a) l (b) p (c) -28
c
Let z = -3 + 3.5. Let b = 206 + -210.55. Let r = -0.55 - b. What is the third smallest value in z, r, 1/8?
r
Let h(z) = z**3 - 4*z**2 - 16*z + 25. Let w be h(6). Which is the fourth smallest value? (a) -2/7 (b) w (c) -5 (d) 2/7
b
Let a = -21.6 - -21.8. Let k = -0.06 - 1.94. What is the biggest value in k, a, 10?
10
Let w be (-24)/(-18) + 4/(-3). What is the third biggest value in 0.4, w, -3, -0.02?
-0.02
Suppose 4*y - 20 - 4 = 0. Suppose -y*r + 40 = -2*r. Let a be (10/(-4))/(15/r). What is the third smallest value in -2, a, -3?
a
Suppose 4*f - 5*o = 424, -3*o = -44*f + 40*f + 424. What is the second biggest value in -1/7, f, -2/3?
-1/7
Let u = -8.29 - -8. Let k = 9.71 - u. Let t = k - 6. Which is the third smallest value? (a) -4/3 (b) 1/5 (c) t
c
Let p = 19.29 + -19. Let q = 0.29 - p. Which is the second smallest value? (a) q (b) -1.8 (c) -0.1
c
Let k = 49 - 49. Let m = 30/7 + -3951/917. Let u = 372/917 - m. What is the second biggest value in u, -3/5, k?
k
Let y = -190 + 190.3. Which is the third biggest value? (a) 0.2 (b) 1 (c) 4/7 (d) y
d
Suppose 0*z + 36 = 3*z. Suppose 0 = 3*u + 3*j - 276, 4*u - 420 = -u + 5*j. Let i = u - 92. What is the second biggest value in 0.4, z, i?
0.4
Suppose -8*b + 155 = -39*b. What is the fourth biggest value in 1/34, 4, -0.4, b?
b
Suppose 0 = j - 12*j + 66. Suppose -3*r - 3 - 3 = 0. Let b be j/8 + r/(-8). What is the second biggest value in b, -4/7, -0.5?
-0.5
Let y = -135 + 136. Let p be y - 1/(25/15). Which is the smallest value? (a) 0.3 (b) 58 (c) p
a
Let m = -2972 + 2970. Which is the biggest value? (a) 0 (b) -43 (c) m
a
Let l be (-2)/(-7) + 5/7. Let o(x) = -5*x**2 + 11*x + 35. Let p be o(4). What is the third biggest value in p, l, 12?
p
Let k = -66.8 + 66.7. Let g = -3.1 + 0.1. Which is the third smallest value? (a) 2/11 (b) k (c) g
a
Let s be (-1 - (1 + -1))/(2/(-34)). Let r = -118/7 + s. Which is the smallest value? (a) -4/3 (b) -4 (c) r (d) 1/2
b
Let t = 2311069/65 + -35556. Let s = t + 22/13. What is the smallest value in 5, s, 2/21?
2/21
Let q = 129/4 - 32. Let u = -32.7 - -28.7. What is the third biggest value in 5, q, -0.7, u?
-0.7
Let z = 2.2 + -2.7. Let h = -4 + 5. Let s = -4 + h. Which is the third smallest value? (a) z (b) s (c) -2
a
Let b = -0.2 + 0.5. Let h = 19 + -2. Let t = h + -16. What is the biggest value in -0.4, b, t?
t
Let h = 455/2 + -228. Which is the second smallest value? (a) -39 (b) 2/11 (c) h (d) -1/3
c
Let c = 47.58 + -47. Let p = 4.42 + c. What is the third smallest value in 2, p, -2/167?
p
Let n(r) = -r**3 - 20*r**2 + 21*r + 5. Let s be n(-21). Let t = 4 + -7. Let k = 0 + t. Which is the smallest value? (a) s (b) k (c) 1
b
Suppose -j + 11 + 89 = -4*z, -3*j = 5*z + 142. Let i be (-14)/(-91) + (-9)/z. Which is the second biggest value? (a) -4 (b) 2 (c) i (d) 0.3
c
Suppose 0 = -3*f + f - 6. Let v(d) = 2*d**2 + 64*d - 70. Let g be v(-33). Which is the second smallest value? (a) f (b) 1/31 (c) g
a
Let d = -46 - -45. Let n be d/66 - 2/(-77)*7. Let v = -8 + 6. What is the second smallest value in v, n, -1/3?
-1/3
Let y = -4 + 8. Let z = 507/1018 - -1/509. What is the third smallest value in z, y, 1/6?
y
Let v = -13 + 18. Let p = -4 + v. Let j = -6 - -23/4. What is the third smallest value in p, -3/2, j?
p
Let r = -0.1968 + -0.0032. Let q = 0.02 + -3.02. Which is the second smallest value? (a) r (b) q (c) 1
a
Suppose 3*a + 9 = k - 3, 5*k = 5*a + 90. Let p = k - 26. What is the second biggest value in 11, -3, p?
-3
Let o = 0.124 - 32.024. Let z = 32 + o. Which is the second biggest value? (a) z (b) -4 (c) -0.05
c
Let q be 5/30*(-3)/(3/10). Let i = -1/5 + 2/5. Which is the second biggest value? (a) q (b) 2/15 (c) i
b
Suppose -c - 3*c = -80. Let x be (c - 0)*3/6. What is the third biggest value in 0.3, x, 0.4?
0.3
Let n = 0.2362 + -0.3632. Which is the second smallest value? (a) 1 (b) 4 (c) n
a
Suppose 0 = j - 0*j - 35. Let u be (-2 - -1) + (-7)/j. Which is the smallest value? (a) 3 (b) u (c) -0.2
b
Let z = 123/1615 + -2/85. Let n = -0.1433 + 0.0433. Which is the third smallest value? (a) n (b) z (c) -0.4
b
Let j = 88.25 - -13.05. Let l = j - 101. Which is the fourth smallest value? (a) 0.1 (b) -3 (c) l (d) -0.1
c
Let n = -35 + 23. Let p be (3/(-1))/3*20/n. Which is the third biggest value? (a) p (b) -5 (c) -3
b
Let k = 0.2 - 0.5. Let j = -2.6 + 3. Let r be (-24)/(-28)*(96/27 - 2). Which is the smallest value? (a) r (b) k (c) j
b
Let i = 0.06 + -0.56. Let c = -2.95 + -0.05. What is the biggest value in i, c, 4, -1?
4
Let o = 0.7 - -0.3. Let x = 0.13335 + -0.21335. Which is the biggest value? (a) -3 (b) -4 (c) o (d) x
c
Let l = -7.16 + -0.04. Let v = l - -7. Which is the biggest value? (a) v (b) -5 (c) 3/4
c
Let m = -83.37 + 83. Let h = -29.37 - m. Let j = h - -31. Which is the smallest value? (a) j (b) -1 (c) -0.4
b
Let d = -0.16 + 0.28. Let v = -4.12 + d. Suppose 2*t + 5*j - 7 = 0, -5*t + j - 4*j + 8 = 0. Which is the third smallest value? (a) t (b) -3/8 (c) v
a
Suppose -1 = -4*b + 23. Suppose -b*t = -4*t. Suppose h + 3*h + 16 = t. What is the third biggest value in 0.2, 0.1, h?
h
Let d = -108.49 + 119.3. Let t = d + 2.29. Let s = -14 + t. What is the smallest value in s, 2, -1/4?
s
Let r = 558 + -560. What is the third smallest value in r, 2.4, -2/3?
2.4
Let h = 68 - 52.5. Let u = h - 16. Let o be 2 - (-1 + 34/10). Which is the second biggest value? (a) -2/19 (b) u (c) o
c
Let c = -4772 - -4776.018. Let w = -0.018 + c. What is the third smallest value in 0.1, w, 0?
w
Let u = -1196 + 1200. What is the second biggest value in -1/5, u, -12, 5?
u
Let z = 2.936 + -0.036. Let l = 0.1 + z. Let c = 26 - 129/5. What is the third biggest value in l, c, -0.1?
-0.1
Let u = -0.65 - -6.25. Let p = 0.163 + -1.763. Let y = u + p. What is the biggest value in -9, 5, y?
5
Let s = -35 - -20. Let a = -8.6 + 24.6. Let t = s + a. What is the second smallest value in -0.2, t, -2/3?
-0.2
Let v = 29938/13 + -2303. What is the third smallest value in -1/3, 0.2, v, -0.3?
v
Let x = -867/2 + 435. Which is the biggest value? (a) -21 (b) x (c) -2/11
b
Suppose 14 = 11*w - 7*w + 3*h, -w - h = -3. Let b = -1 + 3. What is the fourth biggest value in 0.4, b, -0.03, w?
-0.03
Let b = -234 - -234.3. Let v = 13 - 63/5. What is the second biggest value in v, -3, b, -0.3?
b
Let m(j) = j**3 + 9*j**2 + 15*j + 4. Let o be m(-7). What is the third smallest value in o, 4, -4?
4
Let i = -25/3 - -8. Let f = 20 + -20. What is the second biggest value in i, f, 2?
f
Let t = -5.69 - -2.69. Which is the third smallest value? (a) 0.2 (b) -1/2 (c) 8/11 (d) t
a
Let k be (-109)/6*(-8)/412. Let t = k - 2/103. Let p = 90 - 90.4. What is the third biggest value in t, p, -0.1?
p
Let t = -971 | {
"pile_set_name": "DM Mathematics"
} |
-8)) - 0. Suppose -5*t - u*y = -304, -4*y - 74 = 2*t - 3*t. What are the prime factors of t?
2, 31
Suppose d + x + 1 = -2, d - 12 = 4*x. Suppose 0 = -d*p - 3*p + 630. Suppose -3*u - p = -4*j, j - 257 = -4*j + u. What are the prime factors of j?
3, 17
Suppose -2*m + 2*n + 87 = m, -3*n = 4*m - 116. Let u = -7 + m. What are the prime factors of u?
2, 11
Let k(c) = 2*c**3 + 3*c**2 - 2*c - 9. Let t(z) = -z**3 - 4*z**2 + 3*z + 10. Let l(s) = 2*k(s) + 3*t(s). List the prime factors of l(6).
2, 3, 7
Let u be 414/4 - (-1)/(-2). Let z = -71 + u. Let j = -16 + z. List the prime factors of j.
2
Let a(s) = -32*s + 1. Suppose -2*z + 8 = -4*o, -4*o + 8 = -5*z + 22. Let v be a(o). What are the prime factors of 2/(-4) + v/6?
5
Suppose 2*r = -2*x + 1766, 891 = -3*x + 4*x + 5*r. List the prime factors of x.
881
Suppose -5*a = 5*k + 5, -3*k - a - a = -2. Suppose 5*f - 4*d = 323, d + 10 = -k*d. What are the prime factors of f?
3, 7
Let k be (-44)/(4*1/(-174)). Suppose 2*q - 3*s - 1152 = k, -2*q + 3082 = 5*s. List the prime factors of (-2)/(-13) + q/156.
2, 5
List the prime factors of (-4)/(-10) + 501998/230.
37, 59
Let o = -2644 - -5130. What are the prime factors of o?
2, 11, 113
Suppose -810 = -4*g - 5*w, 0 = g + 20*w - 19*w - 203. What are the prime factors of g?
5, 41
Let v(x) = 3 - 5 + 10*x**2 - x**2 + 5*x + x**3. What are the prime factors of v(-4)?
2, 29
Let v = -2803 + 5071. List the prime factors of v.
2, 3, 7
Let x(h) = 2*h**2 + 2*h - 3. Suppose -c = t - 7, c - 6*c + 8 = -4*t. Suppose q = t*q - 4. List the prime factors of x(q).
3
Suppose -5*x = 5, -3*x = -2*i - 3*i - 12. Let l = 1 - i. Suppose b = l*q + 30, 5*b - 16 = -3*q + 65. What are the prime factors of b?
2, 3
Suppose 4170*z = 4157*z + 55705. List the prime factors of z.
5, 857
Suppose -9*j + 32 = -13. Suppose -19*g + 3500 = -j*g. What are the prime factors of g?
2, 5
Suppose 2*l = -4*d, d + 0*d = 2*l + 10. Suppose 3*c = d*c - 72. List the prime factors of (c/(-15))/((-3)/(-10)).
2
Let u(c) be the second derivative of c**3/3 + 3*c**2 - 3*c. Let z be u(-3). Suppose 3*o + o - 3*q - 231 = z, -3*q = 5*o - 309. List the prime factors of o.
2, 3, 5
Let d(n) = 7*n**2 + 2*n - 88. List the prime factors of d(-15).
31, 47
Suppose 0 = 5*w + 5*j + 255, 0 = 5*w + 4*j + 113 + 145. Let m = w - -108. What are the prime factors of m?
2, 3
Let r = 6 + 15. Suppose r + 23 = 4*d - 3*a, 0 = a. Let j = 2 + d. List the prime factors of j.
13
Suppose 5*t = -6*f + 4*f - 20, 3*t - 2*f = -12. What are the prime factors of (-260)/(-13) - (t - 1)?
5
Let x(t) be the third derivative of 0*t - 1/2*t**4 - 2/3*t**3 + 0 + 4*t**2. List the prime factors of x(-2).
2, 5
Suppose 32*q - 155435 = -58507. List the prime factors of q.
13, 233
Suppose -259 = 4*v + 3913. What are the prime factors of (v/(-21))/(4/12)?
149
Let c = -46 - -201. What are the prime factors of c?
5, 31
Let y(o) = -2*o**3 + o**2 - 3*o - 2. Let s be y(4). Suppose -5*q - 137 = 4*x + 110, -3*q - 2*x = 147. Let h = q - s. What are the prime factors of h?
79
Suppose -4*i + 37 = -707. Let v = i + -108. List the prime factors of v.
2, 3, 13
Suppose -6*q - 13 = 11. What are the prime factors of (12/21)/q + (-968)/(-14)?
3, 23
Suppose 3*f = -4 + 28. Let z(h) = -h**3 - 9*h**2 + 14 - f*h + 0*h**3 - 24. What are the prime factors of z(-9)?
2, 31
Let x(g) = -g**3 - 4*g**2 - 3*g + 2. Let y(h) be the second derivative of h**4/12 + 5*h**3/3 + 3*h**2 + 4*h. Let j be y(-9). What are the prime factors of x(j)?
2
Suppose -4368 = -3*t + 4*x, 2*t - 1442 - 1466 = 4*x. What are the prime factors of t?
2, 5, 73
Suppose 7*x - 42967 = -15548. List the prime factors of x.
3917
Suppose -q + 4*s = -4*q - 59, -3*s = 3*q + 60. Let j = q - -87. What are the prime factors of j?
2, 3, 11
Suppose 0 = -45*u + 140419 + 6506. What are the prime factors of u?
5, 653
Let r = 2 + -9. Suppose -2*n - 5*f + 57 = -8, f - 34 = -n. Let w = n + r. What are the prime factors of w?
2, 7
Let g = -5 + 9. Suppose l + g*x = -2*l + 25, 3*l - 2*x = 1. Suppose y = -3*o + 19, -l*o + o - 6 = 0. What are the prime factors of y?
2, 7
Suppose 47 = 5*l + 3*i, i + 0 + 3 = l. Let b = l + -4. Suppose 2 = b*p + 5, 2*g - 11 = -3*p. What are the prime factors of g?
7
Let m = -1433 - -1467. What are the prime factors of m?
2, 17
Let v(w) = -17*w + 8. Let h(g) = -15*g + 10. Let n(u) = -3*h(u) + 4*v(u). Suppose -4 = 5*y - 3*y. List the prime factors of n(y).
2, 3
What are the prime factors of (-3 - (0 - -2)) + (-2 - -229)?
2, 3, 37
Let g be 4 - 1 - (4 + -3). Suppose -g*j - 13 + 167 = 0. Suppose 27 = -5*d + j. What are the prime factors of d?
2, 5
Let j = -398 + 713. List the prime factors of j.
3, 5, 7
List the prime factors of ((-7)/(-14))/(1/338).
13
Suppose 105 = k - 140. List the prime factors of k.
5, 7
Let z(h) = -7*h + 17. Let g = 23 + -28. List the prime factors of z(g).
2, 13
Suppose -27 - 45 = d. Let z = d - -124. List the prime factors of z.
2, 13
Suppose -181 = 5*d + 5*a - 46, 0 = 4*d - 2*a + 84. Let x(l) = -l**3 - 22*l**2 + 18*l - 14. List the prime factors of x(d).
101
Let y(l) = 3*l + 115. Let g be y(0). What are the prime factors of -1*(-1 - -1) + g?
5, 23
Let w(o) = -2*o**3 - 4*o**2 - 3*o - 1. Let r be w(-2). What are the prime factors of ((-1)/r - -1)/(6/465)?
2, 31
Let o(j) = 35*j**3 - 3*j**2 + j + 1. Let i = 11 + -6. Suppose 5*x = i*v + 10, 0*v = 3*x + 5*v + 2. What are the prime factors of o(x)?
2, 17
Let v = 4609 + -1445. What are the prime factors of v?
2, 7, 113
Suppose -5*p - 884 = -9*p. Suppose -151 = -6*j + p. What are the prime factors of j?
2, 31
List the prime factors of (212/10)/(-1)*(-30)/3.
2, 53
Suppose 0 = -2*o + 4*u + 662, -2*o + 5*u + 1318 = 2*o. What are the prime factors of o?
3, 109
Let z(y) = -33*y + 5. Let m be z(-2). Let q = m - 32. What are the prime factors of q?
3, 13
Let n(z) = 138*z - 193. What are the prime factors of n(6)?
5, 127
Let l be 2/(-6) + (-3451)/51. What are the prime factors of (-17)/l - (-123)/4?
31
Let j(f) = -5*f + 7. Let g be j(1). Suppose -g*m - 190 + 714 = 0. What are the prime factors of m?
2, 131
Let b(v) = 2*v**2 - 11*v - 1. Let y be b(6). Suppose -5*x + 9 = -6. Suppose -2*u = x*d - 16, -5*u - y*d + 2 + 28 = 0. What are the prime factors of u?
2
Let m(r) be the first derivative of -r**2/2 + 12*r - 4. Let i be m(12). Suppose 42 = 2*n + 2*d, i = 3*n - 3*d - 0*d - 81. What are the prime factors of n?
2, 3
Suppose 71200 = 82*j + 7*j. List the prime factors of j.
2, 5
Let w(a) = 23*a - 8. Let i(r) = 123*r**3 + 3*r - 17 + 0*r - 7*r**2 - 122*r**3. Let d be i(7). List the prime factors of w(d).
2, 3, 7
Suppose 59 = -w + 61. What are the prime factors of (213/w)/((-12)/(-8))?
71
Let m be ((-2)/((-24)/(-147)))/(1/(-4)). Let t = m - 45. List the prime factors of t.
2
Let u be (-16)/56*(-13 + -1). Suppose -4*l = -3*l + 30. List the prime factors of (-2180)/l - u/6.
2, 3
Let y(t) = -t + 83. Let l be y(13). Let g = l + 74. What are the prime factors of g?
2, 3
Let o(l) = l**2 + 2*l - 7. Let q be o(-6). Suppose 2*h + 5*g = -q, -3*h - 6*g = -2*g + 15. Let r = h - -22. List the prime factors of r.
3, 7
Suppose 790 = -4*p + 14*p. Suppose -b - 85 = -w, 0 = w + b + b - p. What are the prime factors of w?
83
Let h(r) = 5*r + 3. Let w(i) = -i**2 + 12*i + 2. Let y be w(12). List the prime factors of h(y).
13
Suppose 4*x - 5 = 3. Suppose 5*a - 144 = -x*p, 2*a - p - 72 = 3*p. Suppose -i = -0*i - a. What are the prime factors of i?
2, 3, 5
Suppose -108*b = -109*b + 330. What are the prime factors of b?
2, 3, 5, 11
Let i(q) = -5 - 5*q**2 + 2 + 2*q + 16 + 4*q**2. What are the prime factors of i(4)?
5
List the prime factors of ((-332)/6)/(112/(-12) - -9).
2, 83
Let o(u) = -u**3 - 16*u**2 + 12*u - 37. List the prime factors of o(-19).
2, 409
Suppose 2*x - 669 = -5*y - 219, 4*x + 4*y - 900 = 0. List the prime factors of x.
3, 5
Let d be (-4)/8*(0 + -34). Suppose -d*t - 300 = -13*t. Let g = -38 - t. List the prime factors of g.
37
What are the prime factors of -292*(33/(-6))/11?
2, 73
Let x(r) = -138*r**2 + 2. Let h be x(3). What are the prime factors of (h/15)/((-4)/6)?
2, 31
Let b be 1*4 - (-17)/17. Suppose b*o = 3*o + 5*p + 219, 0 = 3*p - 15. List the prime factors of o.
2, 61
Let d(z) = z**2 - 7*z - 52. What are the prime factors of d(-12)?
2, 11
Let k(b) be the second derivative of -b**4/12 | {
"pile_set_name": "DM Mathematics"
} |
by 880?
876
Calculate the remainder when 1374670 is divided by 2841.
2467
Calculate the remainder when 596289 is divided by 138.
129
What is the remainder when 429673 is divided by 3383?
32
What is the remainder when 2163190 is divided by 3380?
3370
What is the remainder when 88689406 is divided by 31130?
36
What is the remainder when 71779261 is divided by 64?
61
What is the remainder when 131046294 is divided by 18720898?
8
What is the remainder when 282259 is divided by 93961?
376
What is the remainder when 245623 is divided by 420?
343
Calculate the remainder when 154651 is divided by 5353.
4767
Calculate the remainder when 4482750 is divided by 7920.
30
Calculate the remainder when 146609 is divided by 156.
125
Calculate the remainder when 50676037 is divided by 67568.
37
Calculate the remainder when 672758 is divided by 134545.
33
What is the remainder when 256389 is divided by 789?
753
Calculate the remainder when 1586476 is divided by 9615.
1
Calculate the remainder when 7814 is divided by 516.
74
Calculate the remainder when 81247257 is divided by 1184.
1177
Calculate the remainder when 2924722 is divided by 182795.
2
What is the remainder when 2027953 is divided by 337989?
19
Calculate the remainder when 7319673 is divided by 39.
36
Calculate the remainder when 1021229 is divided by 1121.
1119
Calculate the remainder when 66487487 is divided by 20849.
26
What is the remainder when 107638 is divided by 752?
102
Calculate the remainder when 264196 is divided by 37730.
86
Calculate the remainder when 765590 is divided by 29435.
280
What is the remainder when 422433 is divided by 614?
1
Calculate the remainder when 844515 is divided by 82.
79
Calculate the remainder when 14100182 is divided by 87038.
26
Calculate the remainder when 154187 is divided by 15369.
497
Calculate the remainder when 446119 is divided by 446058.
61
Calculate the remainder when 580553983 is divided by 4103.
4101
What is the remainder when 3762530 is divided by 589?
587
What is the remainder when 5533188 is divided by 1844395?
3
What is the remainder when 824658 is divided by 274884?
6
What is the remainder when 1355808 is divided by 71279?
1507
What is the remainder when 2041034 is divided by 258?
254
Calculate the remainder when 21578285 is divided by 67.
64
What is the remainder when 4880910 is divided by 339?
327
What is the remainder when 319998291 is divided by 906?
903
What is the remainder when 15615598 is divided by 870?
838
Calculate the remainder when 504030 is divided by 41.
17
Calculate the remainder when 5874337 is divided by 44.
29
What is the remainder when 145415 is divided by 4700?
4415
Calculate the remainder when 394437 is divided by 392571.
1866
Calculate the remainder when 49286 is divided by 11.
6
Calculate the remainder when 599657 is divided by 703.
701
What is the remainder when 34784860 is divided by 174?
172
Calculate the remainder when 30027 is divided by 2299.
140
What is the remainder when 274373 is divided by 91359?
296
Calculate the remainder when 1022292 is divided by 663.
609
Calculate the remainder when 256211 is divided by 126757.
2697
What is the remainder when 1859008 is divided by 845?
8
Calculate the remainder when 443711 is divided by 221440.
831
What is the remainder when 4642562 is divided by 9592?
34
What is the remainder when 513417 is divided by 312?
177
Calculate the remainder when 281446 is divided by 281277.
169
Calculate the remainder when 817208 is divided by 6656.
5176
Calculate the remainder when 24436757 is divided by 1906.
1837
Calculate the remainder when 362505 is divided by 625.
5
What is the remainder when 41207615 is divided by 93?
59
What is the remainder when 4495 is divided by 13?
10
What is the remainder when 9610555 is divided by 9610520?
35
What is the remainder when 6235 is divided by 974?
391
What is the remainder when 336397523 is divided by 112132505?
8
Calculate the remainder when 782494 is divided by 260812.
58
What is the remainder when 42352133 is divided by 10588021?
49
What is the remainder when 2888914 is divided by 880?
754
Calculate the remainder when 57479 is divided by 28731.
17
Calculate the remainder when 74858024 is divided by 37.
31
Calculate the remainder when 55920 is divided by 18397.
729
What is the remainder when 38138060 is divided by 128?
76
What is the remainder when 24561512 is divided by 137986?
4
What is the remainder when 75951835 is divided by 243?
241
Calculate the remainder when 1341812 is divided by 2886.
2708
Calculate the remainder when 1876803 is divided by 89.
60
What is the remainder when 1368959 is divided by 272?
255
What is the remainder when 7555704 is divided by 3746?
22
What is the remainder when 289169 is divided by 4617?
2915
Calculate the remainder when 106658754 is divided by 12.
6
Calculate the remainder when 352312 is divided by 105.
37
Calculate the remainder when 468992 is divided by 64.
0
Calculate the remainder when 7254589 is divided by 61.
42
Calculate the remainder when 1055194 is divided by 52.
10
What is the remainder when 3232025 is divided by 70261?
19
Calculate the remainder when 122999 is divided by 2303.
940
What is the remainder when 782208 is divided by 3446?
3412
What is the remainder when 491367 is divided by 6551?
42
What is the remainder when 370000 is divided by 123317?
49
What is the remainder when 311757149 is divided by 34?
31
What is the remainder when 132770067 is divided by 2924?
2923
Calculate the remainder when 387066 is divided by 3252.
78
Calculate the remainder when 4012110 is divided by 2005817.
476
Calculate the remainder when 306084 is divided by 111.
57
Calculate the remainder when 753443 is divided by 364.
327
What is the remainder when 5629 is divided by 1323?
337
Calculate the remainder when 45243390 is divided by 1157.
62
Calculate the remainder when 24082848 is divided by 130.
88
What is the remainder when 7773146 is divided by 326?
2
What is the remainder when 880537 is divided by 559?
112
Calculate the remainder when 32912802 is divided by 192472.
90
What is the remainder when 108908247 is divided by 258?
255
What is the remainder when 13010769 is divided by 6505382?
5
What is the remainder when 739575 is divided by 6?
3
Calculate the remainder when 16305722 is divided by 41917.
9
Calculate the remainder when 220914784 is divided by 35.
34
What is the remainder when 792138773 is divided by 7?
6
What is the remainder when 93197165 is divided by 4?
1
What is the remainder when 19903384 is divided by 45338?
2
Calculate the remainder when 38999 is divided by 1571.
1295
What is the remainder when 7894998 is divided by 1315833?
0
What is the remainder when 568179 is divided by 1846?
1457
What is the remainder when 5549099 is divided by 55?
39
What is the remainder when 3201124 is divided by 6739?
99
What is the remainder when 714163 is divided by 182?
177
What is the remainder when 8713 is divided by 7867?
846
Calculate the remainder when 53578172 is divided by 38.
34
Calculate the remainder when 7929951 is divided by 118.
115
Calculate the remainder when 109463 is divided by 7270.
413
Calculate the remainder when 417942 is divided by 208963.
16
Calculate the remainder when 505974 is divided by 47.
19
What is the remainder when 185716 is divided by 5011?
309
What is the remainder when 9731394 is divided by 15?
9
Calculate the remainder when 529513 is divided by 3213.
2581
What is the remainder when 114154207 is divided by 5435914?
13
Calculate the remainder when 1013274 is divided by 144736.
122
What is the remainder when 2575118 is divided by 981?
974
What is the remainder when 52781193 is divided by 635?
628
What is the remainder when 90725943 is divided by 124?
103
What is the remainder when 593575017 is divided by 17?
8
Calculate the remainder when 11870639 is divided by 98.
95
Calculate the remainder when 2472110 is divided by 16.
14
Calculate the remainder when 134560 is divided by 552.
424
Calculate the remainder when 74942 is divided by 34257.
6428
Calculate the remainder when 11944992 is divided by 100.
92
Calculate the remainder when 57565227 is divided by 194.
189
What is the remainder when 394014 is divided by 990?
984
Calculate the remainder when 6545337 is divided by 17.
14
Calculate the rema | {
"pile_set_name": "DM Mathematics"
} |
t is the remainder when 108 is divided by 39?
30
Calculate the remainder when 279 is divided by 28.
27
Calculate the remainder when 214 is divided by 8.
6
Calculate the remainder when 475 is divided by 14.
13
Calculate the remainder when 157 is divided by 20.
17
What is the remainder when 590 is divided by 4?
2
What is the remainder when 453 is divided by 111?
9
Calculate the remainder when 2845 is divided by 57.
52
What is the remainder when 1776 is divided by 67?
34
What is the remainder when 259 is divided by 170?
89
What is the remainder when 304 is divided by 11?
7
What is the remainder when 218 is divided by 20?
18
What is the remainder when 1493 is divided by 23?
21
Calculate the remainder when 265 is divided by 14.
13
Calculate the remainder when 31 is divided by 18.
13
Calculate the remainder when 178 is divided by 37.
30
Calculate the remainder when 83 is divided by 19.
7
What is the remainder when 162 is divided by 46?
24
Calculate the remainder when 1172 is divided by 44.
28
What is the remainder when 194 is divided by 50?
44
What is the remainder when 1594 is divided by 80?
74
What is the remainder when 2786 is divided by 41?
39
What is the remainder when 131 is divided by 44?
43
Calculate the remainder when 238 is divided by 91.
56
What is the remainder when 29653 is divided by 44?
41
Calculate the remainder when 181 is divided by 62.
57
Calculate the remainder when 2178 is divided by 4.
2
Calculate the remainder when 637 is divided by 315.
7
What is the remainder when 615 is divided by 44?
43
Calculate the remainder when 1568 is divided by 158.
146
Calculate the remainder when 213 is divided by 62.
27
What is the remainder when 1171 is divided by 231?
16
What is the remainder when 321 is divided by 85?
66
What is the remainder when 49 is divided by 25?
24
Calculate the remainder when 561 is divided by 157.
90
Calculate the remainder when 1301 is divided by 15.
11
What is the remainder when 831 is divided by 16?
15
Calculate the remainder when 78 is divided by 9.
6
Calculate the remainder when 3734 is divided by 68.
62
What is the remainder when 1841 is divided by 459?
5
What is the remainder when 103 is divided by 13?
12
What is the remainder when 70 is divided by 43?
27
What is the remainder when 1694 is divided by 32?
30
What is the remainder when 262 is divided by 11?
9
What is the remainder when 39 is divided by 14?
11
Calculate the remainder when 1670 is divided by 141.
119
Calculate the remainder when 10139 is divided by 23.
19
Calculate the remainder when 260 is divided by 131.
129
Calculate the remainder when 114 is divided by 67.
47
What is the remainder when 178 is divided by 163?
15
What is the remainder when 992 is divided by 71?
69
Calculate the remainder when 978 is divided by 20.
18
Calculate the remainder when 219 is divided by 32.
27
Calculate the remainder when 2279 is divided by 207.
2
Calculate the remainder when 24884 is divided by 122.
118
What is the remainder when 720 is divided by 33?
27
Calculate the remainder when 10542 is divided by 37.
34
Calculate the remainder when 235 is divided by 64.
43
Calculate the remainder when 322 is divided by 27.
25
What is the remainder when 688 is divided by 43?
0
What is the remainder when 556 is divided by 113?
104
What is the remainder when 8034 is divided by 141?
138
Calculate the remainder when 435 is divided by 147.
141
Calculate the remainder when 85 is divided by 11.
8
Calculate the remainder when 122 is divided by 32.
26
What is the remainder when 624 is divided by 192?
48
What is the remainder when 475 is divided by 114?
19
What is the remainder when 1527 is divided by 90?
87
Calculate the remainder when 927 is divided by 242.
201
What is the remainder when 292 is divided by 10?
2
Calculate the remainder when 1295 is divided by 11.
8
What is the remainder when 47 is divided by 30?
17
What is the remainder when 767 is divided by 55?
52
What is the remainder when 17411 is divided by 81?
77
Calculate the remainder when 52 is divided by 29.
23
Calculate the remainder when 502 is divided by 42.
40
What is the remainder when 104 is divided by 21?
20
Calculate the remainder when 833 is divided by 9.
5
Calculate the remainder when 260 is divided by 71.
47
What is the remainder when 253 is divided by 119?
15
What is the remainder when 87 is divided by 22?
21
Calculate the remainder when 236 is divided by 81.
74
Calculate the remainder when 776 is divided by 52.
48
Calculate the remainder when 106 is divided by 5.
1
What is the remainder when 2427 is divided by 45?
42
What is the remainder when 292 is divided by 155?
137
What is the remainder when 236 is divided by 20?
16
Calculate the remainder when 223 is divided by 43.
8
Calculate the remainder when 1194 is divided by 237.
9
Calculate the remainder when 598 is divided by 100.
98
What is the remainder when 63 is divided by 32?
31
What is the remainder when 112 is divided by 112?
0
What is the remainder when 247 is divided by 68?
43
Calculate the remainder when 372 is divided by 156.
60
What is the remainder when 295 is divided by 7?
1
Calculate the remainder when 130 is divided by 121.
9
Calculate the remainder when 405 is divided by 37.
35
Calculate the remainder when 220 is divided by 39.
25
What is the remainder when 43790 is divided by 184?
182
What is the remainder when 326 is divided by 15?
11
Calculate the remainder when 36 is divided by 8.
4
What is the remainder when 390 is divided by 52?
26
What is the remainder when 4699 is divided by 314?
303
What is the remainder when 1086 is divided by 226?
182
Calculate the remainder when 531 is divided by 259.
13
What is the remainder when 1581 is divided by 527?
0
What is the remainder when 535 is divided by 111?
91
Calculate the remainder when 1125 is divided by 82.
59
What is the remainder when 182 is divided by 35?
7
Calculate the remainder when 4 is divided by 1.
0
What is the remainder when 384 is divided by 79?
68
What is the remainder when 1135 is divided by 564?
7
Calculate the remainder when 237 is divided by 17.
16
Calculate the remainder when 699 is divided by 45.
24
What is the remainder when 1895 is divided by 6?
5
Calculate the remainder when 213 is divided by 57.
42
Calculate the remainder when 224 is divided by 45.
44
Calculate the remainder when 225 is divided by 43.
10
What is the remainder when 93 is divided by 36?
21
Calculate the remainder when 84 is divided by 23.
15
Calculate the remainder when 4897 is divided by 35.
32
Calculate the remainder when 1584 is divided by 729.
126
What is the remainder when 296 is divided by 62?
48
Calculate the remainder when 79 is divided by 40.
39
Calculate the remainder when 893 is divided by 152.
133
Calculate the remainder when 3191 is divided by 114.
113
Calculate the remainder when 72 is divided by 16.
8
What is the remainder when 1067 is divided by 6?
5
Calculate the remainder when 39 is divided by 32.
7
Calculate the remainder when 402 is divided by 51.
45
Calculate the remainder when 71 is divided by 14.
1
Calculate the remainder when 34 is divided by 2.
0
What is the remainder when 113 is divided by 57?
56
Calculate the remainder when 564 is divided by 56.
4
What is the remainder when 809 is divided by 171?
125
What is the remainder when 33 is divided by 8?
1
Calculate the remainder when 27478 is divided by 14.
10
What is the remainder when 1468 is divided by 25?
18
What is the remainder when 305 is divided by 44?
41
What is the remainder when 66 is divided by 12?
6
What is the remainder when 1291 is divided by 34?
33
Calculate the remainder when 2180 is divided by 16.
4
Calculate the remainder when 162 is divided by 130.
32
Calculate the remainder when 129 is divided by 33.
30
What is the remainder when 4392 is divided by 28?
24
What is the remainder when 1551 is divided by 94?
47
What is the remainder when 161 is divided by 2?
1
Calculate the remainder when 216 is divided by 75.
66
Calculate the remainder when 746 is divided by 144.
26
What is the remainder when 1052 is divided by 150?
2
Calculate the remainder when 778 is divided by 156.
154
What is the remainder when 679 is divided by 37?
13
What is the remainder when 207 is divided by 25?
7
What is the remainder when 6655 is divided by 74?
69
Wh | {
"pile_set_name": "DM Mathematics"
} |
se 0 + n = 3*t. Determine p(t).
5
Suppose 2*t = 5*s + 22, -2*s + 4*s = -4*t + 20. Let v be ((-8)/t)/((-1)/(-3)). Let l(b) = -b**2 - 3*b + 4. Calculate l(v).
0
Let g(h) = -3*h - 3. Let a be g(-3). Suppose -4*b = 2*l, -2*b + 4 = -3*l - a*b. Let y be (-2)/l + 14/4. Let j(w) = w**3 - 4*w**2 + 2*w + 1. Give j(y).
9
Let v(i) be the second derivative of i**5/20 - i**4/4 + 2*i**3/3 - 3*i**2/2 - 43*i. Calculate v(3).
9
Let y(s) be the second derivative of s**5/20 + 2*s**4/3 + 7*s**3/6 - 3*s**2 - 37*s. Calculate y(-7).
-6
Let q be 3/4*(-5 - (-1 + 4)). Let v(g) = -g**3 - 7*g**2 - 6*g - 9. What is v(q)?
-9
Let r = 1 + 2. Let c(p) = 2 - 7 + p**2 + 4 - 6 + r*p. Let z be c(-5). Let b(u) = u**3 - 3*u**2 + 3*u - 3. What is b(z)?
6
Suppose -4*r + 12 = 36. Let g = -7 - r. Let c(z) = z**2 + z. Give c(g).
0
Let r(h) be the first derivative of h**5/20 - h**4/6 + h**3/3 + h**2/2 + 3. Let i(q) be the second derivative of r(q). What is i(2)?
6
Let r(p) = -p - 6. Let b be r(-9). Let x(h) = -h**2 + 5*h - 1. Let v be x(5). Let w = v + b. Let s(u) = -2*u - 2. What is s(w)?
-6
Let n(b) = 7*b**3 - 2*b - 1. Suppose -4*w = w + 10. Let y = 2 + w. Suppose y*k = k + 1. Give n(k).
-6
Let z(h) = h**2 - 3*h - 1. Let k(j) = -j**3 - 2*j**2 + j - 1. Let d be k(-2). Calculate z(d).
17
Let a(z) be the first derivative of z**5/20 - z**4/2 + z**3/3 + 7*z**2/2 - 3*z + 4. Let m(r) be the first derivative of a(r). What is m(5)?
-8
Let t(f) be the second derivative of -f**8/6720 - f**7/1260 + f**6/720 + f**5/120 + f**4/4 - 4*f. Let j(q) be the third derivative of t(q). Calculate j(-2).
-1
Let f(z) = z**2 - 2*z - 4. Let q = -16 - -16. Suppose -13 = -3*t + l, -15 = -5*t - q*l - 5*l. Calculate f(t).
4
Let t(x) = -8*x - x**2 + 6*x + 4 - 2*x**3 - 5. Determine t(-2).
15
Let c = -4 - -2. Let o(u) = -15*u - 7*u - u**2 + 23*u - 3*u. Calculate o(c).
0
Let i be (-36)/3*1/(-3). Suppose -5*g = -k - i*k, 0 = g + 5*k - 18. Let f(a) = -a**3 + 3*a**2 - 2 + 5*a + 0 - 2*a**2. Determine f(g).
-5
Let m be (-25)/3 - (-2)/(-3). Let j be ((-8)/(-6))/((-3)/m). Suppose j = 3*a - 2*a. Let f(t) = t**3 - 4*t**2 - 3*t + 6. Give f(a).
-6
Let m = 119 - 115. Let d(q) = 6*q - 1. Give d(m).
23
Let b(g) = g. Let h(d) = d**2 - 18*d + 80. Let u be h(10). Calculate b(u).
0
Let g(l) be the third derivative of -l**4/24 - 2*l**3/3 - 11*l**2. Determine g(-3).
-1
Let a(h) = 2*h - 47. Let r be a(22). Let p(c) = -3*c - 2. Give p(r).
7
Suppose -3*w = -0*w. Let j(c) = -c - 9. Determine j(w).
-9
Let u(v) = 8*v + 5. Let r(h) = -21*h - 11. Let m(w) = -2*r(w) - 5*u(w). Suppose -j + 3*z + 13 = 6*z, -5*z + 7 = -2*j. What is m(j)?
5
Let a(y) = y**2 + 5*y - 7. Let n(d) = d**2 + 6*d + 2. Let v be n(-4). Determine a(v).
-1
Let r(h) = -2*h**2 - 2*h - 2. Suppose 4*g = -0*m - 2*m - 4, 0 = 4*m - 8. Calculate r(g).
-6
Let l(g) be the second derivative of g**3/3 + g**2 + g. Let v(t) = -3*t - 9. Let n be v(-5). Suppose 3*q - 12 + n = 0. Give l(q).
6
Suppose -2*u + 24 = -4*k + 3*u, 4*k = -2*u - 24. Let o be 2/6 - 16/k. Let w(p) = -o*p - 4 + 0*p + 4*p. Give w(0).
-4
Let o(g) = -3 - g - 4*g + 2*g. What is o(-3)?
6
Suppose 2*z - 12 = 4*z. Let d(o) = -o**2 - 7*o. Let s be d(z). Let y(c) = 8*c - c**3 + 8*c**2 + 3*c**2 - 5 - 6*c**2. Give y(s).
7
Let v(f) = f**2 + 2*f + 1. Let c(w) = -w + 12. Let u be c(14). Let h(a) = 5*a**2 + 7*a + 3. Let r(k) = u*h(k) + 9*v(k). Calculate r(4).
3
Let z(j) = j**2 + 5*j + 4. Let f(i) be the first derivative of -i**3/3 + 7*i**2/2 + 5*i + 2. Let x be f(8). What is z(x)?
-2
Let q(s) be the first derivative of 1 - 4/3*s**3 - s - s**2. Suppose 1 = -t - 0. Give q(t).
-3
Let c(l) = 2*l**2 - 7*l + 15*l + 8 - l**2. Suppose -9*m - 86 = -32. What is c(m)?
-4
Let b(g) = -g**3 + 7*g**2 - 6*g + 4. Suppose -4*t = -0*t - 16. Suppose -3*p + 6*p - t*n - 22 = 0, 35 = 5*p - 5*n. What is b(p)?
4
Let z = 44041/60 - 734. Let s(q) be the third derivative of -5/6*q**3 - 2*q**2 - 1/8*q**4 + 0 + z*q**5 + 0*q. Calculate s(5).
5
Let x(f) = -f**3 - 2*f**2 - 2*f - 3. Let y = 48 + -24. Let z be ((-2)/6)/(4/y). Calculate x(z).
1
Let y(z) be the second derivative of -z**3/6 - 3*z**2/2 - 14*z. Suppose k + 1 = -i, 4*i = -0*i - k - 1. Determine y(i).
-3
Let b(a) = a + 0*a - 15 - 2*a. What is b(0)?
-15
Let k(c) = -c**2 + 2*c - 3. Let l(s) = -s - 6. Let h(m) = m - 12. Let o be h(5). Let y be l(o). Suppose f - 4 = -y. Give k(f).
-6
Let q(i) be the first derivative of -i**6/360 + i**5/20 - 2*i**3/3 - 3. Let l(d) be the third derivative of q(d). Calculate l(5).
5
Suppose -6*d + 8*d = 0. Let i(c) be the second derivative of 1/2*c**4 + d + 1/2*c**2 + 1/6*c**3 - 2*c. What is i(-1)?
6
Let w be -12*((-15)/(-9))/5. Let g(s) = s - 1. Give g(w).
-5
Suppose 1 = 2*n - 3*n. Let m(t) be the third derivative of 0 - 1/6*t**3 + 0*t + 4*t**2 - 3/8*t**4. Calculate m(n).
8
Suppose a - 5 = 0, -7 - 18 = -3*i - 5*a. Suppose 2*b = -l - 2*b - 22, i = -l - b - 10. Let x(q) = -q**3 - 5*q**2 + 6*q + 9. Determine x(l).
9
Let m be 9*(-2)/(-8 + 2). Let o(k) be the third derivative of k**5/60 + k**4/24 - k**3/6 + 2*k**2 + 13. What is o(m)?
11
Let x be (11/22)/((-1)/(-4)). Let o(a) = x*a**2 + 0 - a**2 + 1 - 6. Determine o(0).
-5
Suppose 10 = 5*y, -5*y - 6 = -4*f - 0. Let o(u) = 2*u - 3. What is o(f)?
5
Let m(k) = -k**3 + 4*k**2 + k + 4. Let j = 71 - 68. Determine m(j).
16
Let c(k) = 7*k - 1. Suppose 4*g = 5*v - 5, -3*g - 3*v = -8*g + 10. Let u(n) = 3*n - 1. Let t(s) = g*u(s) - 2*c(s). Give t(-4).
-7
Let x(t) be the first derivative of t**3/3 + 4*t**2 + 2*t + 28. Calculate x(-8).
2
Let i(y) be the first derivative of y**4/6 - y**3/2 - y**2 + 6*y + 13. Let s(m) be the first derivative of i(m). Suppose 6 = -t + 3*t. Give s(t).
7
Let a(v) = -v**3 + 8*v**2 - 6*v - 8. Let t = -1 + 8. What is a(t)?
-1
Let d(k) = k**3 - 5*k**2 + 4*k + 1. Suppose c - 6*c + 20 = 0. Suppose -7 = -c*l + 9. What is d(l)?
1
Suppose -2*k + 3*k = 4. Let p(z) = z**2 + 1. Let a(g) = -4*g**2 + 4. Let u(s) = k*p(s) - a(s). Calculate u(-1).
8
Suppose -g = 5*m + 12, -4*g + 4 = 2*m - 2. Suppose -2*a - 4*r = -20, 3*a = -r + 13 - 3. Let y(v) = v**3 + 3 + 3*v**a + 1 - 5*v - 4*v**2. Calculate y(g).
7
Let v(s) be the third derivative of -s**5/60 + 5*s**4/24 - s**3/3 - s**2. Suppose -2*j + 10 = 0, -3*m + 3*j - 5 = 2*m. Calculate v(m).
4
Let h(d) = -6*d**3 + d + 1. Let m be (-4)/(-14) + 3*24/(-56). Determine h(m).
6
Let a(t) be the third derivative of t**6/720 + t**5/60 - t**4/3 - 7*t**2. Let x(c) be the second derivative of a(c). What is x(3)?
5
Let n(l) = -l - 3. Suppose -9 - 16 = 5*y. Give n(y).
2
Suppose -2*p = 3*q - 3, 3*q = -5*p - q + 11. Let c(y) = 5*y**2 - y**3 - 3*y + 3*y**p + 2 - 2*y**3 - y**3. Suppose -2*i + 8 = -0*i. Calculate c(i).
6
Let t(m) = m**2 - 8*m + 5. Suppose u = 5*u - 40. Suppose 0 = 4*k - 14 - u. Give t(k).
-7
Suppose 0 = -5*y + u - 33, y - 1 = u - 6. Let p(t) be the first derivative of t**4/4 + 7*t**3/3 + t**2 + 10*t - 5. Give p(y).
-4
Let l(w) = -w**3 - 2*w**2 + 2*w - 2. Let f = 7 + 2. Suppose -5*s + 21 = 1. Suppose i - s*i = f. What is l(i)?
1
Let h(u) = u**2 + 5*u - 6. Suppose 0*i + 16 = 2*i. Let z = i + -4. Let q(o) = -o**2 + 2*o + 3. Let t be q(z). Give h(t).
-6
Suppose 2*p + 26 + 14 = 0. Let h be (-1*1)/(4/p). Let g(s) = 2*s**2 + 6*s - 4. Let t(m) = -m**2 + 1. Let f(q) = g(q) + 3*t(q). What is f(h)?
4
Let m(l) = -l - 13. Let v be m(-13). Let k(d) = -d**3 - d**2 - 14. Determine k(v).
-14
Let n(r) = -9*r - 3. Let w(s) be the second derivative of 6*s**3 + 13*s**2/2 - 3*s. Let v(d) = -9*n(d) - 2*w(d). What is v(-1)?
-8
Let c(a) = -a**3 - 2*a**2 - 1. Suppose 2*h - 5*j = -h + 14, 8 = 2*h - 3*j. Give c(h).
-1
Let w(n) = n**3 - n**2 - n. Let o(r) = r**2 - 15*r - 13. Let f be o(16). Give w(f).
15
Let c(u) = -u**2 + 5*u + 7. Let l(n) = -5*n. Let b be l(-1). Determine c(b).
7
Suppose 0 = -k + 3 - 2. Let h(n) = 1 - 2*n**2 + 4*n**2 - 4*n**2. Calculate h(k).
-1
Let j(n) = 7*n - 2. Let x(o) = -4*o + 1. Let r(q) = 6*j(q) + 11*x(q). Give r(-6).
11
Let f(a) = 2*a**2 + 3*a - 19. Let m(s) = s**2 + s - 10. Let i(b) = 3*f(b) - 5*m(b). Let p = 9 - 5. Suppose 0 = 2*c, 0 = -p*l - 5*c + 2*c - 20. Give i(l).
-2
Let i(n) = -n - 15. Let s be i(-8). Let q = s + 3. Let x = q + 9. Let h(w) = -3*w + 6. Give h(x).
-9
Let l(u) = 4*u**2 - 4*u - 5. Let m(c) = 5*c**2 - 5*c - 6. Let x(t) = -6*l(t) + 5*m(t). What is x(1)?
0
Let v(x) = 3*x + 0*x - 6*x + | {
"pile_set_name": "DM Mathematics"
} |
b?
112
Find the common denominator of 2/4 + (-57)/(-3) and (0 - -2)/((-14)/(-2303)*-7).
2
Suppose 0 = -4*b + n - 32153, 4*n = 2*n + 10. Let l = b - -112599/14. Find the common denominator of 117/20 and l.
140
Suppose -43 - 7 = 5*k. Calculate the smallest common multiple of (k/3)/(6/(-9)) and 10.
10
Let z(g) = -g**2 - 9*g - 8. Let d(j) = -11*j - 93. Calculate the smallest common multiple of d(-10) and z(-7).
102
Let m = 1236 + -1215. Calculate the least common multiple of 66 and m.
462
Suppose -4*m + 4 = b - 3, -8 = -2*b - 2*m. Calculate the common denominator of -43/18 and (b + -2)/(-1*(-66)/(-4)).
198
Suppose 0 = -3*s + 11 + 16. Find the common denominator of 93/16 and (13/2)/((-41)/s - -4).
80
Let v(a) = a**2 + 7*a + 7. Let s be v(-17). Calculate the common denominator of 9/7 and (24/495)/(s/60 + -3).
231
Let t = 2/4265 - -76748/46915. Calculate the common denominator of t and -1/2.
22
Let b = 25 - 40. Find the common denominator of (-5)/2*b + -2 and 17/3.
6
Let g = -87/517 - -2045943/1034. Let z = g - 1941. Calculate the common denominator of z and 58/5.
10
Let l(t) = t - 5. Let x be l(13). Let g be 2*3*x/12. Suppose -30 = 2*f - g*f. What is the smallest common multiple of 4 and f?
60
Let x(s) = -5*s + 193. What is the least common multiple of 32 and x(33)?
224
Suppose 0 = -13*b + 68 + 309. What is the lowest common multiple of 1 and b?
29
Let w = 1 + 7. Let q be 144/(-90)*(-5)/2. What is the smallest common multiple of w and (-5)/q - (-279)/12?
88
Let m be 1/(175/(-69385)) + 6/21. Let v(p) = 96*p + 2. Let l be v(4). Let a = m + l. What is the common denominator of 71/15 and a?
15
Let w = -46/11 - -9/110. Let f = -5571879/10 + 557664. Let d = f + -2153/5. Find the common denominator of w and d.
10
Let a be -4 + (-4 - -2*4). Suppose 4*n - 11 + 3 = a. Calculate the lowest common multiple of 13 and n.
26
Let q be (-1)/4 - 17366/8. Let r = -434880 - -3894343/9. Let o = q - r. What is the common denominator of o and 16/3?
9
Let p(f) = f**2 + 4*f - 32. What is the lowest common multiple of p(-11) and 5?
45
Let q = -2299/104 - -146/13. Let c = 5/184 - 2151/1288. What is the common denominator of c and q?
56
Let b = 6587/111 + -355/6. Let r = -34253/6 - -5695. What is the common denominator of b and r?
222
Let t be 4/10 - ((-288)/(-5))/(-1). Calculate the common denominator of 151/12 and t/12 - (-3 + (1 - -4)).
12
Let p = 422 + -366. Calculate the lowest common multiple of p and 273.
2184
Let i = 468 - 457. Calculate the lowest common multiple of i and (-2)/(-6) + (-6)/(-9).
11
Suppose 0 = -3*f + 186 + 174. What is the lowest common multiple of 4 and (-7)/(-2)*f/21?
20
Let s = 0 - -3. Let i(p) = -2*p**3 - 2*p**2 - p - 5. What is the smallest common multiple of s and i(-2)?
15
Let d be (-1)/2 + 23/2. Suppose 34 = 5*r - 2*p, -3*r + d + 11 = -2*p. What is the smallest common multiple of r and (-2)/(-1)*84/36*(-27)/(-18)?
42
Let i = 3760351/180 - 20891. Calculate the common denominator of i and 1042/180 - 2/5.
180
Let f(h) = -h**2 - 5*h + 2. Suppose -45*g = -33*g - 72. What is the smallest common multiple of f(-5) and g?
6
Let i = -47 - -120. Suppose g - 4*r - 133 = 6*g, -i = 3*g - r. Calculate the common denominator of -143/12 and (840/g)/(-6) - 4.
60
Let y = -344/135 - 65/108. Calculate the common denominator of -7/50 and y.
100
Suppose 7*x - 896 - 280 = 0. Calculate the least common multiple of x and 21.
168
Suppose 2*h = -h + 4*v + 6, -h + 2 = -3*v. Let x be (3 + (-12)/3)/1. Calculate the least common multiple of -1 + (3 + x)*1 and h.
2
Suppose 0 = 3*i - 3*x - 9, 3*x = 7*x + 8. Calculate the lowest common multiple of i and 29.
29
Suppose 6*f + 110 = 122. Suppose f*a + 2*g - 5*g - 23 = 0, 53 = 5*a - 3*g. What is the smallest common multiple of a and 32?
160
Let w(d) = -4*d - 33. Let r be w(-7). Suppose 1 = -2*v - 13. Let b = r - v. Calculate the smallest common multiple of 8 and b.
8
Suppose -6 = -16*k + 14*k. Suppose 0 = -k*i - 2 - 1. Calculate the common denominator of i/(-2) + (-125)/12 and -9/2.
12
Let d = 972901/36 - 27027. What is the common denominator of 71/288 and d?
288
Let t(q) = -q**2 + 5*q + 10. Suppose -11*o = -5*o - 48. Let z be t(o). Let v = 20 + z. What is the smallest common multiple of v and 5?
30
Suppose 4*p - z - 159 = 0, -3*p + 131 = -3*z + 5. Suppose 4*y + 7 - p = 4*c, 4*y = 2*c + 40. Calculate the least common multiple of y and 24.
24
Let y = 14 - 15. Let r = y + 15. What is the smallest common multiple of r and 20?
140
What is the least common multiple of 80 and ((-1 - -1) + -16 + 17)*90?
720
Let r = -485133289619/1910 - -253996475. Let w = 36/191 - r. Let s = -2/59 - -303/236. What is the common denominator of w and s?
20
Let x = 71 + -77. Let h(v) = v**3 + 5*v**2 - 9*v - 6. What is the smallest common multiple of h(x) and 45?
180
Let c = -2/4993 + 114903/159776. Calculate the common denominator of c and 81/4.
32
Let z be 16/(-48) + (-472)/6. What is the common denominator of (z/(-2))/(1/(-1)) and (-8)/28 + (-274)/168?
12
Calculate the common denominator of (-106)/12 - (-7 - -4) and (-1)/2 + (-35)/(-77).
66
Suppose 18*z = 4*z + 13846. Calculate the least common multiple of 3 and z.
2967
Let k(c) = 15*c**3 - 15*c**2 + 16*c - 2. What is the lowest common multiple of k(1) and 18?
126
Let l = -560112587 + 2094821053349/3740. Let q = l + -7/748. Let n = 115/32 + 5/32. Calculate the common denominator of n and q.
20
Let s = -2843 + 2889. Calculate the lowest common multiple of 14 and s.
322
Let n(k) = 4*k - 1. Calculate the lowest common multiple of n(1) and 142 + -110 - 1/((-1)/(-5)).
27
Suppose 2*l - 88 = -2*l. Let r = -7 + 17. What is the smallest common multiple of r and l?
110
Calculate the common denominator of 11/75 and 5/(-45)*708/36.
675
Let w = 483/10 + -34/5. Calculate the common denominator of w and ((-69)/20)/(36/(-15)).
16
Let l be (-14)/(-42) + (-10)/3. What is the common denominator of -42/25 and l/24*-58*(-3)/(-2)?
200
Let k(z) = z**2 - 6*z - 7. What is the lowest common multiple of 12 and k(-2)?
36
Suppose 4*w - 7 - 5 = 0, -2*w - 34 = -2*b. Suppose 3*v = -2*f + 41, -2*f + 8*v + 44 = 12*v. What is the lowest common multiple of f and b?
80
Let q = -117/340 - -5/17. Let a = 57001/6 + -9476. Calculate the common denominator of a and q.
60
Find the common denominator of 31/2 and (-4)/98*(-5439)/105.
70
What is the common denominator of (-3)/(-2)*(55/60 + -6) and 53/24?
24
Let s = 8984/7 + -1283. Let l = 12/29 - 944/319. Find the common denominator of s and l.
77
Let j(k) = -2*k + 15. Let l be j(6). Suppose r = -4*f + 70, 2*r + 3*r + l*f - 350 = 0. What is the common denominator of (-250)/r*35/12 and 93/8?
24
Let v = 6 - -8. Calculate the smallest common multiple of v/21*(7 + -1) and (-6)/(3*(-4)/18).
36
Let r(l) = -2*l**3 - 8*l**2 - 3*l. Calculate the smallest common multiple of ((-5)/(-2) + -2)*64 and r(-4).
96
Find the common denominator of 17/61 and (-2)/10 + -2*(-215)/(-100).
122
Let m = -9668/1005 + 4/201. What is the common denominator of -50/113 and m?
565
Suppose s + 7 = -6. Let d = s - -17. What is the smallest common multiple of 2 and d?
4
What is the common denominator of 0 - -1 - (-1 + (-207)/(-144)) and -77/38?
304
Let b(a) = 3*a - 1. Let j be b(2). Suppose 3*v = -4*c + 185, j*c + v - 208 = 5*v. Let p = 25 + -23. Calculate the smallest common multiple of c and p.
44
Let k(z) = 2*z - 23. Let f be k(16). Suppose -3*v = f - 21. Calculate the common denominator of -6*v*2/(-66) and 47.
11
Let u(s) = s**2 - 4*s + 12. Let g = 12 + -7. Let o(m) = -m**2 + 3*m - 12. Let t(l) = g*o(l) + 6*u(l). Calculate the lowest common multiple of 2 and t(10).
22
What is the least common multiple of (-108)/243 - (-1327)/9 and 3?
147
Let p = -5/8459 - 1175591/355278. What is the common denominator of p and -113/42?
42
Let z = -2183/560 + -1/560. What is the common denominator of z and 3 + (-72)/(-27) - (-2 - -4)?
30
Suppose -670 - 2425 = 5*h. Let t = -4323/7 - h. Let c = -625 + 4365/7. What is the common denominator of t and c?
7
Let c be (-6)/10 + (-111)/15. Let w(u) = u**3 + 10*u**2 + 12*u + 1. Let r be w(c). What is the smallest common multiple of 10 and 8/28 - r/(-7)?
10
Suppose -2*m + 3*o + 16 = 4, 4*m - 24 = 4*o. What is the least common multiple of (-20)/m*48/(-40) and 21?
84
Suppose 0 = -c - 0*c + m + 3, -2*c = -4*m | {
"pile_set_name": "DM Mathematics"
} |
-189 (d) -2
b
Which is the nearest to -9? (a) -3 (b) 1/3 (c) 4/7
a
What is the nearest to -0.2 in -5/4, 5, -5, -4?
-5/4
Which is the nearest to -0.1? (a) -2/3 (b) -2/9 (c) 2/47 (d) 0
d
What is the closest to -1 in -2/379, 14, -1/10?
-1/10
Which is the closest to 2? (a) -3 (b) 15/11 (c) -0.2
b
Which is the nearest to 2? (a) -14 (b) 16 (c) 1/9
c
What is the closest to 0.2 in -26, -0.5, -2/9?
-2/9
What is the nearest to 6/7 in -1/12, -0.3, -12?
-1/12
Which is the nearest to -294? (a) 0 (b) 0.5 (c) -2
c
What is the nearest to -4 in 4, 6, 1, 2/5?
2/5
What is the closest to -0.5 in 4/15, -3, -0.3, -4?
-0.3
Which is the closest to 0.1? (a) -0.04 (b) 0 (c) 4
b
What is the closest to -1/3 in -3, -0.05, -0.2, -0.3?
-0.3
What is the closest to 0 in 3/11, 0.2, 2, -1.5?
0.2
Which is the nearest to 0.3? (a) -0.6 (b) 6 (c) -4/7 (d) -6
c
Which is the nearest to 2/3? (a) -3 (b) -0.39 (c) 2
b
Which is the nearest to -0.55? (a) 0.2 (b) -0.1 (c) 3/5
b
What is the closest to -1 in -19, 4, -0.4, -2/3?
-2/3
What is the closest to -1 in -0.4, 1, 0?
-0.4
Which is the closest to 1? (a) -10 (b) -0.04 (c) -4 (d) 4
b
Which is the nearest to 0.05? (a) 3/2 (b) -0.1 (c) -52
b
What is the closest to -0.1 in 11, -4, 1?
1
Which is the nearest to 2? (a) 3 (b) 2/13 (c) 0.1 (d) -0.5
a
What is the closest to -0.2 in -2/15, -1/7, -0.1, -3?
-1/7
Which is the nearest to 1? (a) -41 (b) 10 (c) 0.5
c
Which is the nearest to 0.2? (a) 2/3 (b) -5 (c) 0.3 (d) 5
c
What is the closest to -23 in -0.5, 5, -0.1?
-0.5
What is the nearest to 0.1 in 0.5, 2/29, -0.5, -5?
2/29
Which is the nearest to 0.01? (a) 4 (b) -2/7 (c) -1 (d) -4
b
What is the closest to -32 in 2/9, 5, -6?
-6
Which is the nearest to 2/11? (a) -4 (b) 2/9 (c) 31
b
What is the closest to 5 in -2/15, -2, -1/4, 3?
3
Which is the nearest to 62/5? (a) 5 (b) -0.4 (c) -1/2 (d) 4
a
Which is the closest to 2/9? (a) -1/5 (b) -0.31 (c) 5
a
Which is the nearest to 0.1? (a) 4 (b) 20 (c) -5 (d) 0.01
d
Which is the nearest to 3/2? (a) 0.2 (b) -5 (c) -0.4 (d) 5
a
Which is the closest to 1? (a) 9 (b) 4 (c) 18 (d) -0.5
d
What is the closest to 48 in -1, -5, -0.02?
-0.02
What is the nearest to 0 in -3/37, 4, -1/3?
-3/37
What is the nearest to 0 in 0, 44.3, 3?
0
What is the nearest to -17/5 in 4/7, -2/3, -1/4, 0.4?
-2/3
Which is the closest to 1/4? (a) -1/2 (b) 0.5 (c) -0.1 (d) -2/5
b
What is the closest to -0.1 in 3/2, -2, -0.2, -1/12?
-1/12
What is the nearest to 0 in 2/15, 0.05, 6, 1/5?
0.05
Which is the nearest to -0.1? (a) -483 (b) -2/11 (c) -0.05
c
What is the nearest to -2/13 in -3, 1, 5?
1
What is the closest to 0.7 in 1, 23, 3/2?
1
What is the closest to 2/9 in 1, -3.8, -0.1?
-0.1
Which is the closest to 2? (a) -2/11 (b) 0.5 (c) 58
b
What is the nearest to 1/4 in -5, -0.2, -2/3?
-0.2
Which is the nearest to 1? (a) 41 (b) 2/7 (c) 1 (d) 2
c
What is the nearest to 0.2 in -4, -0.11, 1, -0.5?
-0.11
Which is the nearest to -2/21? (a) 258 (b) -0.1 (c) 0.4
b
What is the nearest to 1 in -2, 1/7, -7?
1/7
Which is the nearest to 5? (a) -2 (b) -3 (c) -0.5 (d) 4
d
Which is the nearest to 0.6? (a) 3 (b) -0.13 (c) -5
b
Which is the closest to -0.2? (a) 4/5 (b) 1.6 (c) 0.1
c
Which is the closest to -4? (a) -2/3 (b) -2 (c) -4/9 (d) 2/11
b
What is the nearest to -2/5 in -0.4, 4/9, 0.2, -0.5?
-0.4
Which is the nearest to 1? (a) 2.4 (b) -3 (c) 4/3
c
What is the nearest to -1 in -10, 2/13, -3, 1/6?
2/13
What is the nearest to 1 in 3/4, 2/15, -0.1, -0.5?
3/4
Which is the nearest to -2/3? (a) 0.4 (b) -0.4 (c) 129
b
What is the closest to -1/4 in -3, -1/9, -2, -29?
-1/9
Which is the nearest to 2? (a) -2/325 (b) -0.2 (c) 0
c
What is the closest to 15 in -2/13, -11, 3?
3
Which is the closest to -249? (a) -0.01 (b) 4 (c) -0.2 (d) 5
c
What is the nearest to -0.1 in 0.3, 2874, 1/3, 0.2?
0.2
Which is the nearest to -1? (a) -318 (b) 2 (c) -5/4 (d) 0
c
What is the nearest to -0.3 in -0.4, -0.19, -3, -0.7?
-0.4
Which is the nearest to -42? (a) -1 (b) 2 (c) 0.2 (d) 3
a
What is the closest to -0.3 in 4, 1/2, -0.3, 3?
-0.3
What is the nearest to 1/3 in 0.03, -1, -5, -2/3?
0.03
What is the closest to 1 in -0.5, 9, 11, 5?
-0.5
Which is the nearest to 0? (a) -27 (b) 33 (c) 0.4
c
Which is the nearest to 17? (a) 2 (b) -3 (c) 1.2
a
Which is the closest to 2? (a) -2 (b) 1 (c) -4 (d) -2/13
b
Which is the nearest to -9? (a) 30 (b) -1 (c) 2
b
What is the nearest to -70 in 1/6, 1, -3?
-3
Which is the nearest to -2/7? (a) 2/7 (b) 1/4 (c) -382 (d) 5
b
What is the closest to 0 in -382, 1/3, -4?
1/3
Which is the closest to -2/3? (a) -2/77 (b) -2 (c) -4 (d) -3
a
What is the closest to -0.11 in 2/3, -9.1, 3?
2/3
What is the closest to 0 in -2/9, -3, -33, -1/4?
-2/9
Which is the closest to -1/4? (a) -0.5 (b) -4 (c) 2/15 (d) -1/11
d
What is the nearest to 0.3 in 0.1, -1/2, 6/11, 4?
0.1
Which is the closest to -4? (a) -215/4 (b) -0.5 (c) 1/4
b
What is the closest to 1 in -1/6, -3, -0.34?
-1/6
What is the nearest to -4.7 in -2/5, 2/7, -2, -1?
-2
What is the nearest to -2 in -0.3, 30, 5?
-0.3
What is the closest to -0.17 in -4, 3.5, 1/5, 4?
1/5
What is the nearest to -1/5 in -5/4, 0.01, 1/8, -2?
0.01
What is the nearest to 2/9 in -2, -0.5, 2, 0.38?
0.38
Which is the closest to -0.1? (a) 12374 (b) -4 (c) -0.1
c
Which is the closest to 2? (a) -4 (b) 0 (c) 134 (d) 0.3
d
What is the closest to 1 in 1/3, 0, 3?
1/3
Which is the closest to 0.4? (a) 0.5 (b) -557 (c) -2
a
Which is the closest to 2/3? (a) -65 (b) -2/3 (c) 0
c
What is the nearest to -0.1 in -3, -18, 2?
2
Which is the nearest to 3? (a) -2/3 (b) -1/2 (c) -67
b
Which is the nearest to 1/22? (a) 0.3 (b) -2 (c) -0.1 (d) -0.062
d
What is the nearest to 6 in 2, -6, -2, -3?
2
Which is the closest to -0.1? (a) -1/2 (b) 1/6 (c) 0.2 (d) -3
b
What is the nearest to 4 in 5/2, 2/7, 2, -0.4?
5/2
What is the closest to -5 in -2/57, -3, 4/5, 0.6?
-3
What is the nearest to -0.1 in -1, 1/132, 1?
1/132
Which is the nearest to -4/73? (a) 2/9 (b) 3 (c) -2/9 (d) -0.2
d
What is the closest to -2/5 in -1/8, -5, 0.18, 2/29?
-1/8
Which is the nearest to 167? (a) -4/3 (b) -4 (c) -0.4
c
Which is the nearest to 0.3? (a) -2 (b) -1/5 (c) -167
b
Which is the closest to 2? (a) 2/5 (b) 0.3 (c) 2/11 (d) 3
d
Which is the nearest to -26? (a) 0.3 (b) -0.2 (c) -0.1
b
Which is the nearest to -0.3? (a) 0.4 (b) 36 (c) 2
a
What is the closest to 0.2 in -4, 0.25, 11?
0.25
What is the nearest to 1 in -3, -4, -2, 16?
-2
What is the closest to 2/259 in 2, 2/7, 0.11?
0.11
What is the nearest to -2 in 4, 0.06, 3?
0.06
What is the closest to -0.8 in 53, 1/3, 1?
1/3
Which is the nearest to -3? (a) -3/17 (b) 2/5 (c) -1/3 (d) -3
d
Which is the closest to 0.4? (a) 5 (b) -1/5 (c) 38 (d) 2/5
d
Which is the nearest to -2/3? (a) -0.4 (b) -5.7 (c) -0.5 (d) -6
c
Which is the nearest to 0? (a) 0 (b) 21 (c) 0.2 (d) -0.3
a
Which is the closest to 6? (a) 0.5 (b) -5 (c) -0.1 (d) -0.5
a
Which is the closest to 1? (a) 16 (b) -5 (c) -2 (d) -9
c
Which is the nearest to -2007? (a) -1/9 (b) 1 (c) -0.1
a
Which is the nearest to -1/3? (a) -0.2 (b) 2/7 (c) 56
a
Which is the nearest to 1? (a) 0.4 (b) 11/3 (c) -1/11
a
What is the nearest to 3 in 0.1, 52, 1/4?
1/4
Which is the closest to -12? (a) -4 (b) 3 (c) 0 (d) -0.4
a
Which is the closest to -29? (a) -6 (b) -2 (c) 1/8
a
What is the closest to -11 in 3, 0, -2/19, -18?
-18
What is the closest to 141 in -3/4, 14, 5?
14
What is the nearest to 0.1 in 3, 29, 3/2, -1?
-1
What is the closest to -2/3 in -2, -1, -0.2, -6?
-1
What is the closest to -0.1 in 5, 0, -0.1, 12?
-0.1
What is the nearest to -5 in -0.1, 0.5, -5, 0.4?
-5
Which is the closest to 2/7? (a) -6/25 (b) 3 (c) 2/9
c
Which is the nearest to -1? (a) -48 (b) 4 (c) -5
c
Which is the closest to 0? (a) 1/3 (b) -2/17 (c) -1/4 (d) -0.4
b
Which is the closest to 0? (a) -20 (b) 2 (c) 5
b
Which is the nearest to -6? (a) -7 (b) 0 (c) 3/5 (d) 9
a
What is the nearest to 12/23 in 2, 4, 0.1?
0.1
What is the closest to -1 in -2/15, 0, -1/4?
-1/4
Which is the closest to -4? (a) -0.3 (b) -3/7 (c) 13
b
What is the closest to 0 in -0.3, 10, 35?
-0.3
Which is the closest to | {
"pile_set_name": "DM Mathematics"
} |
+ 4*n**2 - 3. Let a be p(3). Suppose 4*s - 8 = 0, -r - s + a = -31. What is the remainder when r is divided by 12?
11
What is the remainder when 42 is divided by (-297)/(-22)*(-2 + 8/3)?
6
Let a(s) = -s**3 - 9*s**2 + s + 13. Let g be a(-9). Suppose -3*q + 43 = -g*v - 0*v, v + 14 = q. Calculate the remainder when 37 is divided by q.
11
Let l = -60 + 126. Suppose 3*k = -0*k + l. What is the remainder when k is divided by 12?
10
Suppose 0 = 2*r - r - 5. Let x = 5 - 5. Let s = x + 13. Calculate the remainder when s is divided by r.
3
Let w(a) = a + 4. Let p(o) = 4*o + 9. Let i = -10 + 14. Calculate the remainder when p(i) is divided by w(3).
4
Calculate the remainder when 25 is divided by (11/(-22))/((-1)/28).
11
Suppose 3*o = -53 + 218. Let m = 34 - o. Let u = -14 - m. What is the remainder when 20 is divided by u?
6
Let h be ((-128)/(-20))/((-1)/(-5)). Suppose -h = p - 2*p. What is the remainder when p is divided by 17?
15
Let o(k) be the second derivative of -k**5/20 - k**4/4 + 5*k**3/6 + 3*k**2 + k. Let z be o(-4). Calculate the remainder when 1 is divided by (-3)/(-6)*1*z.
0
Suppose 2*p - 140 = -4*t, -5*p + 99 = 4*t - 251. Let o = p - 48. Suppose -q = -4*u + 2 - 45, -4*q + 172 = -2*u. Calculate the remainder when q is divided by o.
21
Suppose -3*z - 4*p = -70, -2*p + 4*p - 62 = -3*z. Calculate the remainder when 4 + 281/6 - 3/(-18) is divided by z.
15
Suppose -4*y + 144 + 12 = 0. Suppose 0*w + y = -w. Calculate the remainder when w/(-3) + 0 - 0 is divided by 7.
6
Let z = -11 - -27. Suppose 0 = -f - 2*i + 4 + 6, -5*f = 5*i - 35. Suppose v + 0*v - 227 = -5*b, 4*b = f*v + 196. Calculate the remainder when b is divided by z.
14
Let q be 100/3*(-12)/(-5). Let t = 118 - q. What is the remainder when t is divided by 10?
8
Let b(i) = i**3 - 3*i**2 - 4*i + 4. Calculate the remainder when b(4) is divided by 3.
1
Let t(o) = -o**2 - 3*o - 2. Let y be t(-2). Suppose y*k = 3*k - 15. Suppose -4 = -k*a + 3*a. What is the remainder when a is divided by 2?
0
Let h(s) = s**2 - 8*s - 2. Let x = 29 + -20. Let z be h(x). Let y = 14 - z. Calculate the remainder when 19 is divided by y.
5
Suppose 4*p = -0*p + 88. What is the remainder when 42 is divided by p?
20
Let g = 70 + -65. What is the remainder when 21 is divided by g?
1
Let c(j) = j**3 - 8*j**2 + 5*j - 11. Suppose -2*r + 8*r = 60. What is the remainder when c(8) is divided by r?
9
Let j be (1*-1)/((-9)/117). Suppose 2*m + j = -15. Let k = -7 - m. What is the remainder when k is divided by 5?
2
Let d(y) = 5*y**2 + 9*y + 1. What is the remainder when 74 is divided by d(-3)?
17
Let m(i) = -i + 8. Let x be m(6). Suppose t = r + 5, 5*t - r = x*r + 31. What is the remainder when t is divided by 3?
2
Calculate the remainder when (-1)/(-2)*(10 - 8) - -87 is divided by 45.
43
Let j(a) = a**2 - 3*a - 3. Let q be j(-2). Suppose -q = -p - 3. Calculate the remainder when 11 is divided by p.
3
Let c(j) = j**2 - 2*j + 4 - 2 - 2 + 1. Let k be c(-2). What is the remainder when 38 is divided by 1 + (k - (0 - 0))?
8
Let q = -2 - -4. Suppose 0 = -t - 3*t - 4*z + 32, t + q*z = 13. Calculate the remainder when t is divided by 3.
0
Let w = 16 - 10. Let b be (-3)/w - 83/(-2). Suppose -4*x + b = -3. Calculate the remainder when x is divided by 6.
5
Suppose 8*q + v = 3*q + 40, 3*q = 3*v + 6. What is the remainder when 20 is divided by q?
6
Let f(c) = -28*c - 2. Let a be f(-2). Suppose 4*d + 0*n - a = -n, 3*d + 2*n - 38 = 0. Calculate the remainder when 54 is divided by d.
12
Let k(m) = -3*m - 30. Calculate the remainder when 31 is divided by k(-14).
7
Let l(w) = -w**3 - 5*w**2 - 2*w + 2. Let a be l(-5). Suppose 4*b - b = -a, -49 = -3*x + b. Let m = -13 - -21. Calculate the remainder when x is divided by m.
7
Let x(r) = 2*r**3 - 3*r**2 - 2. Let p be x(3). Let i = p + -6. Suppose 12 + 8 = 2*k. Calculate the remainder when i is divided by k.
9
Suppose 4 + 20 = 4*g. Let l(q) = q**3 - 6*q**2. Let c be l(6). Suppose c = -2*w - 10 + 30. Calculate the remainder when w is divided by g.
4
Suppose -12 = -48*h + 46*h. Calculate the remainder when h is divided by 1.
0
Let o(f) = -f**2 - 7*f + 1. Let w be o(-6). Suppose 0 = x - w + 41. Let y = -13 - x. Calculate the remainder when y is divided by 11.
10
Let i(n) = n**2 + 10*n - 2 - 7 - 2*n**2. Calculate the remainder when 20 is divided by i(8).
6
Let x be 20*-2*(-9)/12. Let s = x + 14. Suppose 0*k - s = -4*k. Calculate the remainder when 32 is divided by k.
10
Let n(c) = 3*c**2 + c. Let j be n(1). Suppose -52 = -5*d - h, d + 36 = j*d - h. Let y = 8 + 24. What is the remainder when y is divided by d?
10
Let t(n) = n**3 - 8*n**2 + n - 5. Suppose -5*i + 0*i = -25. What is the remainder when i is divided by t(8)?
2
Let l(w) = -6*w. Let z = 2 - 3. Let c be l(z). Let t(k) = k**3 - 6*k**2 + k - 4. Calculate the remainder when 5 is divided by t(c).
1
Suppose o + 5*u - 2*u = 8, 0 = -3*u. What is the remainder when o is divided by 5?
3
Let v(z) = z**3 - 7*z**2 + 1. Let p be v(7). Let g = 15 - p. Calculate the remainder when 27 is divided by g.
13
Let l = -2 - -1. Let a(n) = -17*n**3 + n. Calculate the remainder when 46 is divided by a(l).
14
Suppose -k = k - 6. Calculate the remainder when 30 is divided by -24*-1*k/9.
6
Let h = 21 - 13. What is the remainder when 13 is divided by h?
5
Let o be (0 - 6)/(-3) + 77. Suppose 5*z + 4*h - 108 = h, 4*z - 5*h - o = 0. Calculate the remainder when z is divided by 12.
9
Suppose 4*w - 2*w - 76 = 0. Let q(o) = -37*o - 1. Let a be q(-1). Suppose -10 + a = 2*g. Calculate the remainder when w is divided by g.
12
Let d(x) be the first derivative of -x**2/2 + 12*x - 1. Let q(s) = s**3 - 6*s**2 + 4*s - 7. Calculate the remainder when q(6) is divided by d(6).
5
Suppose 4*l = 2*l + 24. Let q(x) be the second derivative of -x**4/12 + 2*x**3 - x**2/2 - x. Calculate the remainder when q(6) is divided by l.
11
Let d = -42 + 54. Suppose 0*b = 4*m - 2*b - 84, -3*b = -6. What is the remainder when m is divided by d?
10
Let u be (7 - 1)/(1 - -1). Suppose -k - 1 = 0, u*w - 3*k + 9 = 39. What is the remainder when 17 is divided by w?
8
Suppose -2*b - 2*b = 4. Let n be b - 0 - (0 - 4). Suppose -n*i = 2*k + i - 78, 0 = 4*k + 2*i - 126. What is the remainder when k is divided by 15?
14
Suppose -162 = -2*m - 62. Suppose -4*p + m = p. Calculate the remainder when 29 is divided by p.
9
Let q(j) = -j**2 - 2 - 10*j + 1 - 3 - 1. What is the remainder when 30 is divided by q(-8)?
8
Let j = -19 - -37. Suppose 0 = 4*w - 62 - 54. Let y = w - j. What is the remainder when y is divided by 4?
3
Let s(c) = 12*c**2 + 2*c - 1. Suppose 0 = 5*p - 9 - 26. Suppose 3*v = p - 4. What is the remainder when s(v) is divided by 5?
3
Let o(b) = -32*b. Suppose 12 = -3*q + q + 2*i, -2*i + 10 = 0. Suppose 3*a - 55 = -2*a. What is the remainder when o(q) is divided by a?
10
Let v(a) be the second derivative of a**4/6 + 2*a**3/3 + 3*a**2/2 - 3*a. What is the remainder when 32 is divided by v(-3)?
5
Let k(t) = -t**3 + 6*t**2 + 11*t - 29. What is the remainder when k(6) is divided by 10?
7
Let l = 46 + -26. Let b = 18 + -14. Suppose h - 146 = -5*k + 49, -b*h = -k + 39. Calculate the remainder when k is divided by l.
19
Suppose -4*l + 22 = -14. Let i(x) = x**3 + x + 19. Let v be i(0). Let w = v - 3. Calculate the remainder when w is divided by l.
7
Let z(d) = 2*d + 11. Let n be z(-5). Suppose n + 50 = 3*f. What is the remainder when f is divided by 6?
5
Calculate the remainder when 32 is divided by ((-14)/(-1) + -3)/(0 + 1).
10
Calculate the remainder when (261/(-6))/(-3)*2 is divided by 6.
5
Suppose 36 = 4*s - 252. What is the remainder when s is divided by 19?
15
Let n(w) = -w**3 + w**2 + 9. What is the remainder when 16 is divided by n(0)?
7
Let q = -6 - -9. Calculate the remainder when 11 is divided by q.
2
Suppose 14*w = 18*w - 104. Let m(h) = -h + 1. Let t be m(-1). Suppose 2*n = -4*d + t, -6*n + n + 4*d + 61 = 0. Calculate the remainder when w is divided by n.
8
Let r(p) = 8*p**2 + 2*p - 1. Let t be r(1). Let z = 6 - t. What is the remainder when (0 + 1)/(z/(-78)) is divided by 14?
12
Let h = 8 - 6. Suppose -5*i + 64 + 46 = 0. Suppose 2*l - 5*m = -3 + i, 5 = 4*l + m. Calculate the remainder when l is divided by h.
0
Let j(g) be the first derivative of 2*g**3/3 + 13*g**2/2 - 3*g - 13. Calculate the remainder when | {
"pile_set_name": "DM Mathematics"
} |
be the second derivative of h**3/6 + h**2/2 - 15*h. What is z*c(x) + 6*l(x)?
x - 3
Let o(c) = -4*c**3 + 4*c**2 + 4. Suppose 4*p = -b - 17, -7*b + 2*b - p = 9. Let f(w) = -w**2 - 1. Let q be (2/3)/(1/(-6)). Determine b*o(h) + q*f(h).
4*h**3
Let t(z) = -7*z**3 - 1207*z**2 - 9*z + 4. Let r(m) = -3*m**3 - 605*m**2 - 4*m + 2. Determine 9*r(j) - 4*t(j).
j**3 - 617*j**2 + 2
Let u be (81*(-2)/(-66) + -3)*-11. Let q(v) = v. Let k(z) = -3*z + 2. Determine u*q(l) + k(l).
3*l + 2
Let d(k) = 55*k + 2555. Let z(u) = -191*u - 7665. Determine -7*d(h) - 2*z(h).
-3*h - 2555
Let r(z) = z - 12. Let x = -223 - -221. Let n(k) = 19*k - 9. Let l(j) = -66*j + 26. Let i(v) = x*l(v) - 7*n(v). What is 5*i(c) + 4*r(c)?
-c + 7
Let o(w) = 353*w + 59. Let x(s) = 8. Calculate -o(b) + 8*x(b).
-353*b + 5
Let a(f) = 4. Let b(d) = -6*d - 3*d + 4*d + 4*d. Suppose -2*t - 5*x - 1 = 12, 15 = -5*x. Determine t*a(j) + 2*b(j).
-2*j + 4
Let w(p) = -1. Let q(u) = -u + 5. Suppose -5*i - 3*t - 461 = 0, 9*i - 5*t + 445 = 4*i. Let v = i - -96. Give v*w(z) + q(z).
-z
Let k(g) = -337*g**2 - 5. Let v(a) = -1007*a**2 - 15. Determine 8*k(c) - 3*v(c).
325*c**2 + 5
Let x(d) = d + 438. Let c(r) = -14. Determine -c(y) + x(y).
y + 452
Let v(u) = -6*u**3 + 9*u**2 + 19*u. Let z(q) = 3*q**3 - 5*q**2 - 10*q. Let j(x) = -2*x**2 - 21*x + 62. Let b be j(-13). What is b*v(w) - 5*z(w)?
3*w**3 - 2*w**2 - 7*w
Let v(w) = 38*w - 75. Let g be v(-6). Let j = g + 305. Let x(q) = -10*q**3 + 16. Let y(c) = 2*c**3 - 3. What is j*x(t) + 11*y(t)?
2*t**3 - 1
Let n(i) = 6*i**2 - 4*i**2 + i - i**2 - 2*i. Let l(b) = -6*b**2 - 160*b + 11. Let p(k) = 17*k**2 + 457*k - 31. Let z(c) = -20*l(c) - 7*p(c). Give n(w) + z(w).
2*w**2 - 3
Let w(q) = 15*q**2 - 9*q - 2. Let f(s) = 47*s**2 - 46*s - 11. Calculate -4*f(r) + 22*w(r).
142*r**2 - 14*r
Let v(t) = -t**2 - 3*t - 3. Let a be (-17)/(119/(-42)) + 14. Let f = -22 + a. Let u(o) = -2*o - 2. Give f*v(n) + 3*u(n).
2*n**2
Let v(x) = -x + 3. Suppose -11*f = -16*f + 3*m - 60, 5 = m. Let l(a) = -1. Determine f*l(b) - 2*v(b).
2*b + 3
Let u(x) = 6*x**3 + 16*x**2 + 3*x + 7. Let n be (1169/(-334))/((-1)/(-2)). Let f(g) = -1 - 1 - 2*g**3 - g + 0*g**3 + 0 - 5*g**2. What is n*f(l) - 2*u(l)?
2*l**3 + 3*l**2 + l
Let t(k) = 10*k**3 - 6*k**2 + 4. Let v = -8289 - -8300. Let p(r) = 20*r**3 - 11*r**2 + 7. Determine v*t(a) - 6*p(a).
-10*a**3 + 2
Let q(t) = -4223*t**2 + 287. Let u(o) = -56*o**2 - 2*o + 1. Let m(p) = 6*p**2 + p + 1. Let k(f) = 2*m(f) + u(f). Give -287*k(r) + 3*q(r).
-41*r**2
Let v(y) = 21441*y**2 - 27. Let k(q) = -11*q**2 - 3. Calculate -9*k(t) + v(t).
21540*t**2
Let s(f) = 26 - f**2 + 5 - 8 - 23. Let m(t) = -8*t**2. What is -2*m(g) + 48*s(g)?
-32*g**2
Let q(z) = -2*z**3 + 2*z**2 + 3*z + 5. Let h = -2284 - -2287. Let b(n) = 2*n**3 - 2*n**2 - 2*n - 4. Give h*b(a) + 2*q(a).
2*a**3 - 2*a**2 - 2
Let s(d) = -5*d**2 - d. Let z(m) = -118*m**2 + m - 1. What is -s(c) - z(c)?
123*c**2 + 1
Let b(g) = -154*g. Let i(s) = -20*s - 5. Let x(l) = 11*l + 3. Let d be 5/((-30)/6) - -4. Let p(j) = d*i(j) + 5*x(j). Give 6*b(y) - 187*p(y).
11*y
Let v(f) = 21*f**2 + 2*f - 2. Suppose 30*g + 172 = 112. Let b(h) = 713*h**2 + 69*h - 69. Give g*b(n) + 69*v(n).
23*n**2
Let o(q) = 14*q**2 - 164*q - 45. Let x(v) = -23*v**2 + 329*v + 74. Give 5*o(k) + 3*x(k).
k**2 + 167*k - 3
Let j(z) = -2*z**2 - 19*z + 4. Let b = -12734 + 12723. Let t(y) = y**2 + 9*y - 2. Determine b*t(r) - 6*j(r).
r**2 + 15*r - 2
Let a(j) = -1173*j**2 + 30*j. Let o(u) = -3518*u**2 + 85*u. What is -17*a(g) + 6*o(g)?
-1167*g**2
Let s(d) = 58*d + 47. Let q(r) = 25*r - 2. Determine -q(b) + s(b).
33*b + 49
Let s(a) = 4*a**2 + 3. Let o be (0 - 9)*(-4)/12. Suppose 2*n - 5*x - 38 = 0, 0 = -3*x + 6 - 24. Let y(g) = -3*g**2 - 4. What is n*s(d) + o*y(d)?
7*d**2
Let x(l) = 5*l**3 - 2*l**2 - 13*l + 6. Let r(q) = 27*q**3 - 11*q**2 - 66*q + 33. Give 2*r(g) - 11*x(g).
-g**3 + 11*g
Let x = 46 - 39. Let r(z) = -28 - 29 + x*z + 101 - 38. Let q(d) = 11*d + 9. What is -5*q(a) + 8*r(a)?
a + 3
Let w(q) be the third derivative of q**5/60 - q**3/6 + 89*q**2. Let d(c) be the second derivative of c**5/10 + c**4/2 - 7*c**2/2 + 9*c. Give -d(u) + 6*w(u).
-2*u**3 + 1
Let z be -1 - -4 - (6 + 6/3). Let g(l) = l**3 + 5*l**2 - l - 2. Let t be g(z). Let u(x) = -4*x + 3. Let b = 11 + -16. Let h(w) = -7*w + 5. Give b*u(k) + t*h(k).
-k
Let p(n) be the first derivative of -17*n**3/3 + 3*n**2 + 1. Suppose 0 = -3894*a + 4678*a - 4704. Let y(o) = 35*o**2 - 13*o. Give a*y(k) + 13*p(k).
-11*k**2
Let m(f) = 6*f**2 - 4*f + 4. Let u(h) = -5*h**2 + 5*h - 5. Suppose -3*o + 19 = -c, -4*c = 3*o - 460 + 461. Give c*u(t) - 5*m(t).
-10*t**2
Let y(u) = -2*u + 692. Let h(b) = -b + 346. Give -10*h(z) + 6*y(z).
-2*z + 692
Let y(w) = -88*w - 29. Let l(t) = 47*t + 14. Give 5*l(k) + 2*y(k).
59*k + 12
Let u(a) = 2*a + 2. Let n(j) = 6*j - 10. Let t(s) = -7*s + 14. Suppose 36 = 13*p - 22*p. Let l(q) = p*n(q) - 3*t(q). Give 3*l(d) + 4*u(d).
-d + 2
Let r(m) = m - 1. Suppose -16*f - 4264 + 4280 = 0. Let i(z) be the second derivative of z**3/2 - 8*z. What is f*i(s) + r(s)?
4*s - 1
Let u(f) = -6*f + 2 + 4*f + 5*f. Let b = 12506 + -12510. Let s(q) be the first derivative of 2*q**2 + 3*q - 1. What is b*s(d) + 5*u(d)?
-d - 2
Let o(x) = -3*x. Let k(j) = j - j - j + 0. Let s(v) = 388*v + 6. Let f be s(0). Calculate f*k(m) - 3*o(m).
3*m
Let x(d) = -170*d + 555. Let r(c) = 37*c - 139. What is 9*r(o) + 2*x(o)?
-7*o - 141
Let s(b) = 1. Suppose 355*j = 358*j - 12. Let q(d) = -13*d**2 - 5*d + 29*d**2 + j*d + 6 - 15*d**2. Give q(x) - 6*s(x).
x**2 - x
Let i(y) = 225*y**3 + 15*y**2 - 15*y - 15. Let v be 81/(459/(-17)) - (1 + -2). Let j(d) = 32*d**3 + 2*d**2 - 2*d - 2. What is v*i(a) + 15*j(a)?
30*a**3
Suppose 1102*r = 1644*r - 1408 + 4118. Let w(a) = -8*a**2 + a - 4. Let s(t) = 0*t + 1 + 2 + 7*t**2 - t. What is r*w(i) - 6*s(i)?
-2*i**2 + i + 2
Let h(z) = -7*z**3 - 9*z**2 + 23*z - 289. Let q(x) = -3*x**3 - 4*x**2 + 10*x - 143. Determine -4*h(v) + 9*q(v).
v**3 - 2*v - 131
Suppose 4*k + 5*x - 38 = 0, -10*k = -7*k - x. Let u(b) = 13*b**3 + 8*b**2 + 5*b + 9. Let q(h) = 3*h**3 + 2*h**2 + h + 2. Give k*u(l) - 9*q(l).
-l**3 - 2*l**2 + l
Let z(k) = k**3 + k**2 - 1. Let i(g) = -g**3 - 6*g + 4. Suppose -26 = -l + 4*x, 115 - 97 = 5*l - 4*x. Calculate l*z(y) - i(y).
-y**3 - 2*y**2 + 6*y - 2
Let v(f) = 3*f**3 + 2*f**2 + 2. Suppose n - 40 = -20. Suppose 0*d + 2*d + 24 = 5*u, 6*d - 2*u = -n. Let l(t) = -t**2 - 1. What is d*v(m) - 4*l(m)?
-6*m**3
Let j(d) = -49*d**2 - 7*d - 1. Let x(h) = 9*h**2. What is j(o) + 5*x(o)?
-4*o**2 - 7*o - 1
Let h(v) = 11*v**2 - 9*v - 18. Let x(p) = -11*p**2 + 10*p + 19. What is 9*h(o) + 8*x(o)?
11*o**2 - o - 10
Let l(c) = 3*c**2 + 3. Let w be ((-10)/(-3))/(270/2268*-7). Let g(u) be the first derivative of 16/3*u**3 + 16*u + 0*u**2 + 1. What is w*g(p) + 22*l(p)?
2*p**2 + 2
Let k(d) = -31*d. Let c be 3/18 + (53/106)/((-3)/871). Let f(o) = -2233*o. What is c*k(g) + 2*f(g)?
29*g
Let i(q) = -6*q**3 - 1519*q**2 + 2*q + 8. Let k(m) = 2*m**3 + 506*m**2 - m - 3. Give 3*i(p) + 8*k(p).
-2*p**3 - 509*p**2 - 2*p
Let y(p) = -24*p**3 + 5*p**2 - 3*p + 5. Let z = -2762 - -2760. Let a(g) = -12*g**3 + 2*g**2 - g + 2. Calculate z*y(l) + 5*a(l).
-12*l**3 + l
Let y(a) = 8*a + 5. Let h = 3074 + -3071. Let s(n) = 9*n + 5. Determine h*s(o) - 4*y(o).
-5*o - 5
Let f(z) = z**2 + 2*z + 9. Let h(y) = 3*y**2 + 5*y + 24. Let b(d) = 5*f(d) - 2*h(d). Let w(l) = 1. What is 5*b(k) + 15*w(k)?
-5*k**2
Let p(i) = 26*i**3 + 93*i**2 + 6. Let g(a) = 54*a**3 + 179*a**2 + 11. Give -6*g(l) + 11*p(l).
-38*l**3 - 51*l**2
Let k(z) = -6*z - 528. Let i(m) = m + 183. Let u(s) = 3*i(s) + k(s). Let g(j) = j. Let q(a) = -4*a + 32. Let h(v) = g(v) - q(v). What is 5*h(o) + 8*u(o)?
o + 8
Let r(l) = 5 + 17 - 348*l + 183*l + 169*l. Let g(m) = m + 7. Let j be (-11 + 8)/((-6)/20). Determine j*g(w) - 3*r(w).
-2*w + 4
Let n(i) be the first derivative of -15*i**4 - 40*i**3 + 60*i**2 + 120*i - 13175. Let d(q) = q**3 + q**2 - q - 1. Determine -120*d(x) - n(x).
-60*x**3
Let y(n) be the third derivative of -n**4/4 + 891*n**2. Let s(c) be the second derivative of -c**3/6 - c. Calculate 24*s(h) - 3*y(h).
-6*h
Suppose -f + 9 = 2*f, a + 16 = 5*f. Let t(n) be the second derivative of n**4/6 + 2*n**3/3 + n**2 - 6224*n. Let v(g) = g**2. Calculate a*t(r) + 4*v(r).
2*r**2 - 4*r - 2
Let u(k) = -3*k | {
"pile_set_name": "DM Mathematics"
} |
o. What is prob of picking 1 p and 1 d?
1/78
Three letters picked without replacement from kskksssbwbfsbskusbss. Give prob of picking 1 w, 1 b, and 1 f.
1/285
Four letters picked without replacement from {y: 1, b: 1, z: 2, d: 1, s: 1, o: 2}. Give prob of picking 4 o.
0
Three letters picked without replacement from isssis. Give prob of picking 1 i and 2 s.
3/5
What is prob of picking 1 s and 1 h when two letters picked without replacement from hssihhassh?
16/45
Calculate prob of picking 1 z and 2 x when three letters picked without replacement from jjxnnjxznjn.
1/165
What is prob of picking 1 h, 1 d, and 1 p when three letters picked without replacement from usppppuspshhdpu?
12/455
Calculate prob of picking 2 k and 2 q when four letters picked without replacement from {k: 9, q: 10}.
135/323
Two letters picked without replacement from xxootomtxx. Give prob of picking 2 t.
1/45
Two letters picked without replacement from {w: 1, c: 2, l: 1, v: 2, t: 2, f: 1}. Give prob of picking 2 v.
1/36
Four letters picked without replacement from {l: 3, s: 2, m: 12}. Give prob of picking 1 m and 3 l.
3/595
Three letters picked without replacement from mfffmmjmjf. What is prob of picking 2 m and 1 f?
1/5
Calculate prob of picking 2 a when two letters picked without replacement from {d: 1, f: 2, y: 5, a: 8}.
7/30
Four letters picked without replacement from {n: 1, b: 2, z: 4, c: 7}. Give prob of picking 4 z.
1/1001
Calculate prob of picking 1 f, 1 v, and 2 q when four letters picked without replacement from vaafvxvqqvffvqv.
18/455
Three letters picked without replacement from eeewwwess. What is prob of picking 1 w and 2 s?
1/28
What is prob of picking 2 c when two letters picked without replacement from {p: 4, c: 7}?
21/55
Two letters picked without replacement from hhhh. What is prob of picking 2 h?
1
Calculate prob of picking 2 p when two letters picked without replacement from ppiiiipdjipippi.
1/7
Calculate prob of picking 2 e when two letters picked without replacement from {l: 2, e: 6, n: 2, u: 3}.
5/26
Two letters picked without replacement from dzlzl. Give prob of picking 1 d and 1 z.
1/5
Calculate prob of picking 2 t and 1 h when three letters picked without replacement from oohhgyhgohhhtyyy.
0
Four letters picked without replacement from {j: 3, k: 15}. Give prob of picking 2 k and 2 j.
7/68
What is prob of picking 4 b when four letters picked without replacement from {b: 7, v: 2}?
5/18
Three letters picked without replacement from {h: 4}. What is prob of picking 3 h?
1
What is prob of picking 2 w when two letters picked without replacement from wvwwppggpwvwwwvpgv?
7/51
Calculate prob of picking 2 y when two letters picked without replacement from yywyyyyyyyyyyyyyyywy.
153/190
What is prob of picking 3 b and 1 q when four letters picked without replacement from {b: 3, q: 12, u: 1}?
3/455
Two letters picked without replacement from qqetyyjqqyeqtqeqyqt. What is prob of picking 1 q and 1 y?
32/171
Two letters picked without replacement from {o: 1, b: 4, n: 3}. What is prob of picking 1 o and 1 n?
3/28
Two letters picked without replacement from vssvsvvvvv. Give prob of picking 1 s and 1 v.
7/15
Two letters picked without replacement from hhc. What is prob of picking 1 h and 1 c?
2/3
What is prob of picking 2 p when two letters picked without replacement from {p: 2, f: 1, s: 2, x: 1, w: 1}?
1/21
Two letters picked without replacement from pplpppplpl. What is prob of picking 2 l?
1/15
Three letters picked without replacement from {s: 1, r: 1, h: 3, x: 3, w: 9, p: 1}. What is prob of picking 1 r and 2 w?
3/68
Calculate prob of picking 1 b and 2 o when three letters picked without replacement from offfbbbof.
1/28
Two letters picked without replacement from keskkwkkeehehkwkweh. What is prob of picking 2 k?
7/57
Two letters picked without replacement from ngwrr. Give prob of picking 1 n and 1 w.
1/10
Three letters picked without replacement from {t: 1, v: 1, g: 2, w: 1, u: 2}. What is prob of picking 2 u and 1 g?
2/35
Two letters picked without replacement from sjsjjjjvvnjjvnvjvsjj. What is prob of picking 2 n?
1/190
Calculate prob of picking 2 y and 1 w when three letters picked without replacement from yzyzyyywzyyyyyw.
18/91
Four letters picked without replacement from lllmlllmllmlml. Give prob of picking 4 l.
30/143
Four letters picked without replacement from {j: 9, g: 2, p: 7}. What is prob of picking 1 g and 3 p?
7/306
What is prob of picking 1 x, 1 o, 1 n, and 1 m when four letters picked without replacement from omkogomnxgomnmmmo?
3/119
Two letters picked without replacement from {y: 7, u: 1, n: 3, t: 2, i: 1}. What is prob of picking 1 u and 1 t?
2/91
Two letters picked without replacement from {i: 3, y: 2, t: 4, k: 2, l: 2, r: 1}. What is prob of picking 1 r and 1 k?
2/91
What is prob of picking 3 q when three letters picked without replacement from {q: 1, p: 2}?
0
Three letters picked without replacement from {i: 2, d: 4, s: 3, t: 1, m: 1}. Give prob of picking 3 d.
4/165
Two letters picked without replacement from ccnnnvnnvvvnv. What is prob of picking 2 v?
5/39
Four letters picked without replacement from yuyyyyuyuyy. Give prob of picking 4 u.
0
Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {o: 1, m: 1, c: 2, b: 1, j: 1, q: 1}.
2/21
Three letters picked without replacement from wzwzezwweeew. Give prob of picking 1 w, 1 z, and 1 e.
3/11
What is prob of picking 1 d, 1 y, 1 l, and 1 h when four letters picked without replacement from hwydlhv?
2/35
Four letters picked without replacement from ayssyssysysssfyssfsa. What is prob of picking 1 y, 2 a, and 1 f?
2/969
Calculate prob of picking 4 u when four letters picked without replacement from {u: 7}.
1
What is prob of picking 1 w, 1 e, 1 t, and 1 x when four letters picked without replacement from {v: 3, t: 1, w: 1, e: 1, x: 5}?
1/66
Two letters picked without replacement from {w: 1, c: 8, s: 11}. Give prob of picking 2 s.
11/38
Three letters picked without replacement from avaachotvovv. Give prob of picking 2 a and 1 o.
3/110
Two letters picked without replacement from djuudujuyuuyj. Give prob of picking 1 y and 1 j.
1/13
Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {o: 2, h: 3, u: 1, d: 9, r: 2, v: 1}.
2/153
Two letters picked without replacement from {k: 3, l: 7}. Give prob of picking 2 k.
1/15
What is prob of picking 1 f and 2 v when three letters picked without replacement from {x: 2, u: 3, f: 1, w: 1, v: 3, d: 3}?
3/286
Two letters picked without replacement from dffkkff. Give prob of picking 1 k and 1 f.
8/21
Calculate prob of picking 2 z and 2 s when four letters picked without replacement from {e: 1, y: 8, s: 2, z: 5}.
1/182
What is prob of picking 3 u when three letters picked without replacement from uuauuuuuuuuuuauuuu?
35/51
Two letters picked without replacement from {h: 8, r: 1, q: 11}. Give prob of picking 2 q.
11/38
Three letters picked without replacement from bbbkbbk. What is prob of picking 3 b?
2/7
What is prob of picking 1 f and 2 w when three letters picked without replacement from wwffwfwfwfffwwgggff?
63/323
Four letters picked without replacement from {v: 1, o: 1, i: 3, z: 1, q: 1}. What is prob of picking 2 i, 1 z, and 1 v?
3/35
What is prob of picking 1 m and 1 e when two letters picked without replacement from {u: 1, m: 1, f: 2, e: 4}?
1/7
Three letters picked without replacement from {f: 1, a: 1, x: 1, g: 3, c: 1}. Give prob of picking 1 a and 2 g.
3/35
Two letters picked without replacement from xcsxsbbxccxscxccc. Give prob of picking 1 c and 1 x.
35/136
Three letters picked without replacement from zhhbfhhffffzhhz. Give prob of picking 1 f, 1 b, and 1 h.
6/91
Two letters picked without replacement from juuuuuuuuuuu. What is prob of picking 2 u?
5/6
Calculate prob of picking 3 e when three letters picked without replacement from peeeope.
4/35
Calculate prob of picking 2 h and 2 p when four letters picked without replacement from {h: 6, p: 7}.
63/143
Four letters picked without replacement from rprprrrpaprarrparap. What is prob of picking 2 r and 2 a?
18/323
Three letters picked without replacement from {x: 3, u: 1, a: 3, h: 2, i: 1, w: 3}. Give prob of picking 1 w, 1 h, and 1 x.
9/143
Calcul | {
"pile_set_name": "DM Mathematics"
} |
*h - 5*z - 2 = -a, 2*h = -4*z + 10 for h.
-5
Let d(y) = y**2 + 7*y - 291. Let n be d(-21). Solve 4*r + 2 = -p + 2*r, -6 = -n*p - 2*r for p.
4
Suppose -2 = -t - x, -2*t - 3*x + 16 = -5*x. Solve 20 = -t*f + 5*s, 3*s + 1 - 16 = 0 for f.
1
Let y(k) = k**3 - 2*k**2 - 4*k - 4. Suppose -4*p + 128 = -0*p. Suppose 0 = 4*t + 4*t - p. Let w be y(t). Solve -c + w = -5*c, 0 = -5*m - 4*c + 8 for m.
4
Suppose -7 = -d - 2*d + o, -2*d = -3*o. Solve d*m = 2*c - 4, -2 + 0 = 4*c - m for c.
-1
Suppose -2*x - 3*y = -x + 9, -5*y - 29 = -3*x. Let l be 39/(-26)*(-8)/x. Solve 5*j = 4*o - 5*o + 22, 0 = -2*o + l*j - 12 for o.
2
Suppose -3*j - 6 = 2*b, 5*b + 16 = j + 1. Solve 21 = 2*c - 5*d, -3*d + j = c + 6 for c.
3
Let z = -71 + 118. Let m = z + -47. Solve 4*x - q = -2*q + 5, 4*x + 5*q - 25 = m for x.
0
Let r(s) = -s**2 + 21*s - 70. Let y be r(15). Solve -y = -2*l - 5*i, -4*l + 4*i + 8 = -4 for l.
5
Suppose 1 = 2*m + z, 9*z + 15 = 4*z. Solve 2*s + 9*d = 14*d - 12, 0 = -m*d + 8 for s.
4
Let k(a) = -a**2 + 7*a - 2. Let s be (-1 - -2)*(1 - -11). Let v = s - 6. Let o be k(v). Solve 5 = o*t - 3*b, -t + 5 = -3*b + b for t.
-1
Let f = -147 + 150. Solve -6*z + z + 25 = -5*j, f*z = -j - 1 for z.
1
Let n = 29 + -24. Let r = 10 - n. Solve -j - 22 = r*g, 3*g + 0*j + 30 = 5*j for g.
-5
Suppose 4*i - 24*i = -160. Solve v + h + 0*h = 5, i = v + 4*h for v.
4
Suppose -2*j - 33 = -3*x, j - x - 7 = -21. Let f(h) = h**3 + 9*h**2 - h - 5. Let v be f(j). Solve 0 = -5*b + 3*g + 12, b - v = 4*b + g for b.
0
Let p be 306/561 + (-76)/(-22). Solve -9 = p*c - o, -2*c - 3*o - 5 = 2*c for c.
-2
Let y = -7 - -6. Let c be 2*y*(-27)/6. Let g = c - 7. Solve 4*p + 2*b - 7 = 13, 8 = p + g*b for p.
4
Suppose 109 = 14*q + 39. Solve -q*y = -z + 28, -2*z + 3*y - 4 = -25 for z.
3
Suppose 0 = -2*y - 2*k, -2*y - 105 + 133 = -5*k. Solve -4 = y*f - 2*d + 4, -2*d = -2*f - 4 for f.
-2
Let x be 2 - 3 - (-16 - -1). Suppose 5*c = -x + 44. Let b be c*((-3)/(-9) - 0). Solve 8 = -m + 5*i - i, b*m + 5*i = 23 for m.
4
Suppose 3*z + 6 = -2*p, 5*z = -7*p + 2*p - 10. Let v(g) = g + 4. Let x be v(z). Solve -5*l + 12 = -t, -l = -5*l - x*t + 4 for l.
2
Let r = -686 - -702. Solve 3*j = -j - r, 0 = 3*d - 3*j - 18 for d.
2
Let m(t) = -t**3 - 14*t**2 - 36*t - 26. Let c be m(-11). Solve s + 0*f = -f - c, -f + 3 = -s for s.
-5
Suppose b - a - 21 = 0, -a = -17*b + 14*b + 53. Solve 0*i = 4*z - 5*i - b, 0 = 3*z + i - 12 for z.
4
Let p be 70/(-25) + 1/(-5). Let q be p*(0 + -1 - 0). Let o = -131 - -136. Solve -5*c - 3 - 12 = -o*f, -q = 4*c + 5*f for c.
-2
Suppose 0 = 13*j - 50 - 15. Solve 24 = j*d - f + 4, -5*d + 45 = 4*f for d.
5
Suppose -2112*m + 2101*m = -77. Solve 4*s - r - 17 = 0, 7*r + m = 3*s + 12*r for s.
4
Let z be 2 - 33/18 - 13/78. Solve z = 4*k + 12, k + 2*k + 34 = 5*v for v.
5
Suppose 2*j + 4*c - 17 = -j, 4 = -2*j + 5*c. Let n be 3 + -2 - (-6 - -4) - j. Solve n = -3*m - 2*p + 2, 3*p = -3*m + 2*m - 4 for m.
2
Let o(r) = 2*r**2 + 18*r - 12. Let u be o(-10). Suppose -12*s - u = -16*s. Solve 3*d + 6 + 14 = -4*v, -3*d - s*v = 10 for d.
0
Let l be 10*(0 - 8/10). Let d = 11 + l. Suppose 4*v = 4*n + 4, n = d*v + v - 10. Solve -v*g = w - 2*g + 5, 4 = -2*g for w.
-3
Let l = 212 + -207. Solve -2*f + 4*a = 7*a - 10, 15 = 5*f + l*a for f.
-1
Let j be 0 + 2 + 0*(-4)/(-4). Solve 0 = j*o + 5*h - 11, 2*o + 2*h - 6 = 2 for o.
3
Suppose 3*q - 47 = -4*o, 2*q + o = -3*q + 67. Suppose 0 = -q*d + 14*d. Solve 0 = -d*h - 5*h - 5*w + 30, -4*h - 16 = -4*w for h.
1
Let h be -2*2/4*-5. Let j(w) = -w**2 + 6*w + 6. Let l be j(6). Suppose l*v = 2*v + 20. Solve v*n = -2*p - 21, -h*p + 2*n - n - 12 = 0 for p.
-3
Let z be ((-33)/9 + 4)/((-1)/6). Let t be -1*((12 + -3)*z + 3). Solve 0 = 4*w + s - t, 2*w - 5*s - 9 - 4 = 0 for w.
4
Let l(h) = 4*h**3 - h**2 - 3*h + 2. Let o be 4/6*(-5 + 52/8). Let i be l(o). Solve i*k = -4*n + 22, -k + 1 = -0*k for n.
5
Let c(q) = 3*q**2 + 2. Let v be c(2). Let m be 2 - 5 - 4/(-8)*v. Solve -5*r = b - 25, m*r + 4*b - 32 = r for r.
4
Let h be ((-5)/15)/(3/45). Let a(g) = -g**3 + 5*g**2 - 2*g - 4. Let t be a(3). Let w = t + h. Solve f - q = -1, 2*f - w*q + 2 + 1 = 0 for f.
0
Let k(x) = 7*x + 8 - x**3 + x**3 - x**3 + 0*x**2 + 6*x**2. Suppose 25*o = 24*o + 7. Let s be k(o). Solve u + 2*z = s, -3*z = -2*u + z for u.
4
Suppose 0 = -2*a - 0*a, b = 2*a + 5. Suppose h + 2 = b. Solve -g = -h*u - 3 - 5, -5*g = -5*u for u.
-4
Suppose 3*d + 3*g + 3 + 6 = 0, 3 = 4*d - g. Suppose -4*t - 2*k + 18 = d, 3*t + 6 = 4*k + 36. Solve 0 = r + 2*h + 11, -5*h - t = 4*r + 26 for r.
-3
Let q(d) = d**3 + 29*d**2 - 58*d + 127. Let p be q(-31). Solve -p*w - z = 4, 0*z = 5*w + z + 6 for w.
-1
Let j(t) = t**2 - 34*t + 212. Let l be j(8). Solve 4*w = -0*w + v - 17, l*v = -5*w + 5 for w.
-3
Suppose o - 8*p = -13*p + 15, p = 5*o - 49. Solve -4*g - o = 3*a, a + 7 = -g - 4*g for g.
-1
Let u be ((-1005)/7)/(-5) + 2/7. Let l = u + -26. Solve l*y = z + 8, -z + y - 2*y = 0 for z.
-2
Let w(v) = -v**2 + 8*v - 9. Let g be w(11). Let f = -40 - g. Solve -3*a = -5*y + 14, 2*a - 1 = 3*a + f*y for a.
-3
Let w = -9 + 18. Suppose 0 = -3*k - 5*v + 35, -5 = 5*v - 25. Suppose 10*c - k = w*c. Solve 3*d - 24 = 4*r, r = -2*d - 0 + c for r.
-3
Let s(q) = -q + 1. Let i be s(-3). Let c(t) = -13*t - 1. Let u be c(-1). Let l be (-9)/u*16/(-6). Solve 2*w - 2 = -l*y + 2, i*w = 5*y - 19 for y.
3
Suppose -h + 4*g = 43 - 55, 0 = 3*h + 5*g - 2. Solve -4*b + 4 + 0 = -5*u, 3*u = -4*b + h for b.
1
Suppose 5*k - 12 = h, -2*k + 9 = -h + 2*h. Suppose -4*s - 4*z + 68 = 0, 45 = 3*s - 2*z + h*z. Solve -4*i = -3*j - 0*j - 4, 0 = 3*i - 5*j - s for i.
-2
Suppose 0 = -5*m - 4*p + 2 + 20, 5*m = 2*p + 4. Solve -7 = m*d - b, 0*d + 5*b = 3*d + 21 for d.
-2
Suppose 651*p - 653*p + 20 = 0. Solve 2*w + 0*t + 4*t = -p, 2 = -4*w + t for w.
-1
Let x(p) = p**3 - p**2 - 42*p + 13. Let v be x(7). Solve -5*d + v = -a, -2*a + 5 = 2*a - d for a.
2
Let w be 3882/(-4) + 18/12. Let n be w/(-85) - (-2)/(-5). Let z(t) = t**2 + 3*t - 4. Let o be z(-4). Solve -3*p - r - 7 = -o*r, p - 3*r = n for p.
-1
Let m be (-3)/(1 - 18/15). Let r = 17 - m. Suppose -2*t = -3*u - 3*t + 4, u = -5*t - 22. Solve 2*o - 4 = 0, -x + u*o - 10 = -r*x for x.
4
Let o(r) = -1 - 5 - 6 - 4*r. Let i be o(-7). Suppose g + i = 6*l - l, 0 = -2*l + 2*g + 8. Solve 3 = -4*x + 2*h - l, -4*x + 4*h - 16 = 0 for x.
1
Let d(h) = 7*h + 205. Let l be d(-29). Solve 8*y - 4*j + 6 = 10*y, -5*y - l*j = 17 for y.
-5
Let w(z) = -z**2 - 4*z + 23. Let s be w(-7). Solve 2*u + s*p = p, -4*u + 5*p = -28 for u.
2
Suppose -5*y = -4*i - 9 - 4, 0 = -4*y - 5*i + 35. Solve -4*l = 3*b + 24 - 4, y = -3*b - l for b.
0
Suppose -5*p + 4*n + 12 = -p, -5*p = 3*n - 7. Suppose -12 = -3*y - y. Solve -4*m + 20 = y*x, 3*m - 10 = m + p*x for m.
5
Let p(a) be the third derivative of 11*a**4/12 + a**3/3 - 9*a**2. Let y be p(-1). Let n = y - -22. Solve 8*l - 5 = 3*l + 5*v, 0 = -v - n for l.
-1
Let x be ((-4)/20)/((-2)/(-25))*-2. Solve 3*p - 4*r = -1 - 2, 3*r = -x*p - 34 for p.
-5
Let c(l) = l**2 - 7*l + 2. Let m be c(8). Suppose 0 = -v - g - m, v + 10 = -v + 3*g. Let n = 2 - v. Solve t = 0, f + 3*t = -f - n for f.
-5
Let i = 14 + -13. Solve -u - i = 0, w + u + 3 = -2 for w.
-4
Let c be (21 + -23)/(1/(-2)). Solve 2*m = -m + c*v - 6, -3*m - 2*v + 12 = 0 for m.
2
Let b be (1/(-2))/((-1)/8). Let a(m) = 3*m**2 + 57*m + 56. Let j be a(-18). Solve -5*y - j*v = -0*v + 29, -5*y = -b*v + 17 for y.
-5
Let g(f) = -2*f**2 - 69*f + 42. Let h be g(-35). Solve -3*l + 2*q = -h*l - 24, -4*q = 4*l + 32 for l.
-4
Let w(i) = 2*i - 9. Let b be w(5). Let o(m) = m. Let p be o(b). Let n be p/((-1)/(-14))*1. Solve -3*z = q + n, 3*z = -7 - 2 for q.
-5
Let p be (12/(-14))/((-4)/112*4). Suppose -2*z + p = z. Solve -1 = -z*a + 3*i, -3*a - 3*i - 13 = -2*a for a.
-4
Let o(x) = -x**2 - 8*x - 9. Let q be o(-5). Let g = 1 + 1. Let t be (-5)/((q/g)/(-3)). Solve 3 = -t*j + 3*y - 2, -3*j = -4*y + 3 for j.
-1
Let s be 0*3*4/12. Suppose -3*x - 3 = s, x + 8 = 3*d - 4*x. Solve h + 3*m + 5 + 0 = 0, 0 = -h - m - d for h.
1
Let u be 1/((-3)/(-21)) - (7 - 4). Solve 5*j + 0*b = 2*b + u, b = 3 for j.
2
Suppose 472 = 6*g - 10*g. Let a = 118 + g. Solve r - 16 = 2*r - 5*n, a = -r - n + 8 for r.
4
Let s be 693/(-12) - 5/20. Let y = 60 + s. Solve y*v = -f - 8 + 3, 4*f + 20 = -3*v for v.
0
Let q = 29 - 21. Let u = -5 + q. Let y be 21/9 - 2/6. Solve 2 - 5 = - | {
"pile_set_name": "DM Mathematics"
} |
*l - 757. Is n(11) a composite number?
False
Suppose -34*y + 36*y + 66 = 0. Let w = 486 + y. Is w a composite number?
True
Suppose 55 - 45 = -5*p. Is (-4)/(32/73076)*p a prime number?
True
Suppose -247*j = -260*j + 1534546. Is j prime?
False
Suppose -2679*g + 9010687 = -2656*g. Is g a composite number?
True
Let z = -38 + 46. Suppose 2*h - z*h = -7974. Suppose 11 = 4*s - h. Is s prime?
False
Let t(c) = 279*c**3 + 3*c**2 - 4*c. Let y(u) = 838*u**3 + 8*u**2 - 11*u. Let d(l) = 8*t(l) - 3*y(l). Let b be d(-1). Suppose -2*r + b = -9. Is r prime?
False
Let g = -40 + 43. Suppose -229 = 3*d - 2*n + 125, -2*d + g*n - 241 = 0. Let k = d + 167. Is k a composite number?
True
Let x = 72 - 73. Let z(i) = -4698*i**3 - i. Is z(x) prime?
False
Let k = -29 + 260. Suppose k = 2*z + f - 0*f, f = -z + 116. Is z composite?
True
Suppose -2*g + 36504 = 6*g. Suppose 20389 = 4*c - g. Is c a composite number?
True
Let i be -18 + 14 - (3 - (-1 + -684)). Let f = 301 - i. Is f a composite number?
True
Let u = -7272 - -18104. Let y = u - 7324. Suppose -7*d + y = -3*d. Is d a composite number?
False
Let t(f) = -605 - 2*f**2 + 9*f + 507 + 6*f**2. Is t(-23) a composite number?
False
Let u(f) = 3*f**2 - 4*f - 6. Suppose 4*j + 32 = 8*j. Suppose -4*b + 8 = 2*s - 0, -3*s = 5*b - j. Is u(s) a prime number?
False
Is (3 + -8)*(-36 - 25183) a composite number?
True
Let d = 1049 + -551. Suppose -2*l - 5*t + d = l, 0 = -4*t. Is l a composite number?
True
Let m(g) = 1598*g + 47. Suppose -52*l - 36 = -61*l. Is m(l) prime?
False
Let w = -8 - 42. Let p be ((-1578)/5)/(3/w). Suppose 2*f + p = 4*j, -4*j + 2*f - 3959 = -7*j. Is j a composite number?
True
Suppose r - 137139 = -x, -4*x - 274222 = -2*r + x. Is r a composite number?
False
Suppose 4*f - 9740 = -2*q, 10*q - 5*q - 5*f = 24410. Let v = 12175 - q. Is v prime?
True
Is 1/4 - (-7 + 49709536/(-128)) a composite number?
False
Let f(u) = u**2 - 15*u + 59. Let g be f(7). Suppose -g*v - 13 = -19. Suppose -6*c = -v*c + p - 7556, -7556 = -4*c + 2*p. Is c a prime number?
True
Suppose 4*y - 13*w + 395 = -14*w, y - 4*w + 86 = 0. Let i = y - -535. Is i composite?
True
Is (-2 - 147112/(-9))/(182/819) a composite number?
False
Is -1*(1 - (-6)/(-9)) + 145970/15 a composite number?
True
Suppose -z = -12*q + 7*q + 23, -4*q + z + 18 = 0. Suppose q*a = 4*b + 8485 + 22746, 4*a - 24993 = -5*b. Is a a composite number?
False
Suppose -2476658 - 1015549 = -27*n. Is n prime?
True
Let h(t) be the first derivative of 8*t**3 - 29*t**2/2 + 218*t - 292. Is h(9) a composite number?
False
Let q(z) = 510*z**2 - 291*z + 34. Is q(15) prime?
True
Let m be (0 - 2 - 14) + (-105 - -112). Suppose -5*y + 12403 = -c, -2*c - 3*y - 24830 = -7*y. Is (-4)/(-6) + c/m prime?
True
Let w = -33 + 40. Suppose -4*f = -9 - w. Is 7340/(-25)*(-10)/f - -3 prime?
False
Let z = 126 - 118. Suppose -2*g - 4*f = -2472, -z*f + 4 = -4*f. Suppose -c + 6*u - u + g = 0, 4*u - 5008 = -4*c. Is c prime?
True
Let m = -90 + 86. Let s(i) = -29*i**3 - 3*i**2 + 3*i + 3. Is s(m) a composite number?
True
Suppose -19*p + 18*p = 2*i - 12, 0 = 4*i - 4. Suppose -50060 = -30*l + p*l. Is l composite?
False
Let m(x) = -x**3 - 16*x**2 - x - 13. Let v be m(-16). Suppose 59 = -v*w + 14. Is (-6)/w*(-2740)/(-4) a composite number?
True
Suppose -3*x - 4 = -16. Let l(z) = 37*z**3 - 2*z**2 + 19*z - 5. Is l(x) a prime number?
False
Let z be -1 + 14/18 + (-4)/(-18). Suppose -6*g - 9*g + 63435 = z. Is g a prime number?
True
Suppose 0 = 3*c - o + 5 - 13, 0 = c + 3*o + 4. Suppose -4*z + 2*l - 49 = -3*l, 25 = -c*z + 3*l. Is (-4)/22 + (-18229)/z composite?
False
Let j(s) = 9300*s**3 + 2*s**2 - 27*s + 80. Is j(3) prime?
True
Let a(d) = 17*d**2 - 2*d**3 + d**3 + 265*d + 34 - 267*d. Let m be a(17). Suppose z - 4*z - 3*s = -2022, 3*z - 4*s - 2015 = m. Is z prime?
True
Let a = -5 - -9. Let c(t) = 480*t - 19. Is c(a) prime?
True
Suppose -13 = -0*a - 3*a + 5*p, 3 = -5*a - 4*p. Let l be -7 - -7 - (a - -2*1). Is (-6386)/(-8) - 1 - l/(-12) a composite number?
False
Let j = 21501 - 7999. Let a = 3119 + j. Is a a composite number?
True
Suppose -u + 4211 = r, -34*r + 8422 = -32*r + 3*u. Is r composite?
False
Is 1/((-24)/157980*(-20)/16) composite?
True
Let r(u) = 17461*u**3 + 5*u**2 - 76*u + 147. Is r(2) a prime number?
True
Let v be (18 - 23)*14/2. Let d(h) = -137*h - 200. Is d(v) a composite number?
True
Suppose -a + 8*a = 42. Let b(v) = v**3 - 13*v**2 - v + 11. Let y be b(a). Let f = -104 - y. Is f a composite number?
True
Let v(c) = 15*c - 36. Let s(w) = 6*w**3 - w. Let l be s(1). Let k(i) = 30*i - 73. Let j(o) = l*v(o) - 2*k(o). Is j(15) composite?
False
Suppose -b + 4*b + 25978 = 5*p, 0 = -5*b - p - 43334. Let a = -1027 - b. Is a composite?
False
Suppose 2*i - 5*p = 39067, 4*i + p - 33399 = 44724. Is i a composite number?
False
Let a be (-1)/4 - (-483)/92. Suppose -17 = -4*h - a. Suppose -h*u = u - 1636. Is u a prime number?
True
Suppose 0 = -2*b + 4*j + 3024, -6*j + j - 3023 = -2*b. Let t be 2/(-4) + -2*b/(-8). Suppose t = 2*a - 1352. Is a prime?
False
Let b be 41706 + 0/(-7 - -3). Suppose -7*h - b = -25*h. Is h prime?
False
Let z(g) = 1222*g**2 - 12*g - 6. Let h be z(-4). Suppose -7211 = 3*w - d - h, 4*w + 5*d - 16479 = 0. Is w prime?
False
Let c(r) = 138*r**2 + 39*r - 1183. Is c(-66) a composite number?
True
Suppose 40*t + 35*t - 15520305 = -18*t. Is t a composite number?
True
Let d(u) = -43*u - 3 + 30*u**2 + 30*u**2 + 0*u**2 + u**2. Is d(-10) composite?
True
Let f = 77885 - -20172. Is f composite?
False
Is ((-2123070)/(-90))/((-2)/(-42)) a prime number?
False
Suppose 190*w + 16*w + 25*w = 3468003. Is w a composite number?
False
Let z(a) = 692*a + 133. Is z(24) a composite number?
False
Let p(h) = 2*h**2 + 13*h + 8. Let m be (-7)/28 - 37/(-4). Is p(m) a prime number?
False
Suppose -4 = 2*t - 22. Suppose t*c - 84608 = c. Suppose -c = -b - 441. Is b a composite number?
True
Suppose 0 = 3*f + 4*f - 3247014 - 1619057. Is f prime?
False
Is 891062/114 - 10/(-15) composite?
False
Let q(x) = 164*x**2 + 30*x + 305. Let o be q(-10). Is (2 + o/(-25))/(2/(-10)) a prime number?
True
Suppose -5*y - 3711 = -2*q, 2237 = y - 4*y - 4*q. Let v = y - -1540. Is v a prime number?
True
Let s(f) be the first derivative of -9*f**4/4 - 2*f**3/3 - 7*f**2 - 21*f - 151. Is s(-8) composite?
True
Suppose 3*t + 2*i - 151743 = 0, -3*t + 3*i + 77204 = -74539. Is t a composite number?
False
Let y(s) = 26*s + 12. Let q be (-3 - 50/(-15))*9. Let x be y(q). Suppose 249 = 3*o + x. Is o prime?
True
Let n = 240 + -697. Suppose 1 = c - 1. Is c - (n + -4 - 4) prime?
True
Let h be (141216/(-44))/8 + 4/22. Let o = h + 768. Is o a composite number?
False
Is ((-176)/(-66))/(16/19794) prime?
True
Let z = -638 + 640. Suppose -z*l + 13*x = 10*x - 7907, -11841 = -3*l - 2*x. Is l composite?
True
Suppose -5*i - 12 = -2. Let h be (i + -2)/4 + 1 + 2. Is (-1)/(-3) + 2290*h/12 a prime number?
False
Let x = 554923 - 5422. Is x prime?
False
Let b(h) be the first derivative of h**4/4 - 17*h**3/3 - 23*h**2/2 + 22*h + 2. Suppose 2*z + 2*z - 76 = 0. Is b(z) composite?
False
Suppose -13*u + 20*u = 0. Suppose 5*k - 765 - 2410 = u. Is k a prime number?
False
Let z(a) = 192*a**2 - 33*a - 2. Let i(f) = f**2 - 23*f + 31. Let n be i(22). Is z(n) composite?
True
Suppose 0 = -2*k - 4*l + 3 + 23, 0 = 3*k + 4*l - 31. Suppose -4*z + 1012 = -k*i, 3*z - 5*i - 405 = 354. Is z prime?
False
Let y(n) = -n**2 - 38*n - 275. Let q be y(-10). Suppose 31898 = 5*u - a, -6*u + 6394 = -q*u - 5*a. Is u prime?
True
Let k(u) = -u**3 + 11*u**2 - 19*u + 14. Let w be k(9). Suppose 4*p - 5*m + 124 - 517 = 0, 483 = w*p + 2*m. Let v = p + 142. Is v a composite number?
False
Suppose -5*j - 3 = -6*j. Suppose -j*a + 82 - 55 = 0. Let o(q) = 44*q + 11. Is o(a) a composite number?
True
Let r = 211 + -95. Suppose -466 = -3*o - 2*g, -5*o + 0*g + 798 = -2*g. Let b = r + o. Is b prime?
False
Suppose 0 = -4*a + 5*y + 1, 0*y - 3*y = -4*a + 7. Suppose 4*k + 2*g - 35718 = 0, -a*g = -5*k - 13627 + 58268. Is k a prime number?
True
Suppose 13*i - 362563 = 991127. Suppose 5*n - q - i = 0, -4*n - 3*q = -3*n - 20810. Is ((-3)/(-2))/(n/3470 - 6) composite?
True
Let f(r) = 1588*r**2 - 930*r + 1. Is f(5) a composite number?
False
Let v = 111 - 95. Suppose -17*a + 15 = -v*a. Is 93*((-4)/a + (-42)/(-70)) composite?
False
Let p = 393 - 353. Is (-57972)/3*( | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in 12*o + 29*o - 12*o + 2*o**3 + 48*o - 15*o.
2*o**3 + 62*o
Collect the terms in -221 - 229 + 662 - 212 + 19*r**2.
19*r**2
Collect the terms in -107 + 214 - 107 - 481*k.
-481*k
Collect the terms in -1562*o - 5*o**2 + 4*o**2 - 582*o + 6.
-o**2 - 2144*o + 6
Collect the terms in -180 + 545 - 185 + 6*q - 180.
6*q
Collect the terms in 4*i**3 + 21*i**3 - 27*i**3 - 99*i**3.
-101*i**3
Collect the terms in -205*o**3 + 71*o**3 + 66*o**3 + 84*o**3.
16*o**3
Collect the terms in 3670 - 1839 + j**2 - 1833.
j**2 - 2
Collect the terms in 74247*l - 148490*l + 74243*l - 32*l**3.
-32*l**3
Collect the terms in -16*h - 291*h**3 + 14*h**2 + 16*h - 13*h**2.
-291*h**3 + h**2
Collect the terms in 133 - 639*g**3 + 634*g**3 - 133.
-5*g**3
Collect the terms in -10*h + 4124*h**2 + 24*h - 4*h - 4123*h**2 - 10*h.
h**2
Collect the terms in 907144 + 4*j - 1814291 + 907147.
4*j
Collect the terms in 277*w**3 + 190*w**3 - 556*w**3.
-89*w**3
Collect the terms in 17*v + 3*v - 4*v - 4*v + 64*v.
76*v
Collect the terms in 6*f - 3*f + 3*f - 18*f**3 - 6*f.
-18*f**3
Collect the terms in 3 + 17417*p + 17379*p - 34757*p - 3.
39*p
Collect the terms in 13*y**2 + 39317 - 19641 - 19676.
13*y**2
Collect the terms in 653 - 7443*h - 653.
-7443*h
Collect the terms in 8*p**3 - 7536*p**2 + p**3 + 7536*p**2 - 4*p**3.
5*p**3
Collect the terms in 225*o**2 + 19*o**2 + 66*o**2 - 5*o**3 + 1.
-5*o**3 + 310*o**2 + 1
Collect the terms in -3272*u + 815*u + 828*u + 818*u + 812*u.
u
Collect the terms in 3*v + 92286183*v**3 - 92286191*v**3 - 3*v.
-8*v**3
Collect the terms in -2754*l**3 - 20513*l**3 + 1361*l**3 - 10008*l**3.
-31914*l**3
Collect the terms in 19*u**3 + 107*u - 516*u - 17*u**3.
2*u**3 - 409*u
Collect the terms in -9 + 4*i - 3*i + 17*i**2 - 9 + 14.
17*i**2 + i - 4
Collect the terms in 564589 - 32*f - 564589.
-32*f
Collect the terms in -24 - 37 + 39*o**2 + 61.
39*o**2
Collect the terms in 3*n - 16*n - 33 + 69 - 34.
-13*n + 2
Collect the terms in -4221*p + 4221*p - 37*p**2.
-37*p**2
Collect the terms in 2 - 2 + 1 + 62*v - 2.
62*v - 1
Collect the terms in 1161*k - 453*k - 326*k.
382*k
Collect the terms in 1724*a - 5267*a + 1772*a + 1769*a.
-2*a
Collect the terms in -151967912 - o**2 + 151967912.
-o**2
Collect the terms in 168454603*g**2 - 62*g**3 - 168454603*g**2.
-62*g**3
Collect the terms in 113 + 2*t**2 + 109 + 111 + 116 - 442.
2*t**2 + 7
Collect the terms in -951 - 28*v + 951 - 26*v**2.
-26*v**2 - 28*v
Collect the terms in 41*c - 1470 - 38*c + 1470.
3*c
Collect the terms in -1954*c + 797*c + 4351*c + 2423*c.
5617*c
Collect the terms in 62 - 46*t**3 - 30 + 0 - 32.
-46*t**3
Collect the terms in -36 + 19 - 651*a + 15.
-651*a - 2
Collect the terms in -41*s**3 + 12*s**3 - 25*s**3.
-54*s**3
Collect the terms in 145 - 398*u**3 - 71 - 74 + 401*u**3.
3*u**3
Collect the terms in 118*n - 55*n**2 - 118*n - 50*n**2.
-105*n**2
Collect the terms in -2 - 93*p**3 + 22*p**3 - 4 + 52*p**3 + 21*p**3.
2*p**3 - 6
Collect the terms in -163887*j**2 + 163830*j**2 - 4 + 4.
-57*j**2
Collect the terms in -6*c - 5379*c**2 + 0*c + 6*c.
-5379*c**2
Collect the terms in -4 - 6*n**2 + 17 - 15*n**2 + 15.
-21*n**2 + 28
Collect the terms in -74*b**2 - 58*b + 85*b**2 + 120*b - 62*b.
11*b**2
Collect the terms in -5*h + 233 - 80*h**2 + 232 - h**2 - 465.
-81*h**2 - 5*h
Collect the terms in 872*x - 232*x - 339*x.
301*x
Collect the terms in 9*m + 3*m**3 - 17*m - 9*m.
3*m**3 - 17*m
Collect the terms in 6*h**3 + 113342 - 226684 + 113339.
6*h**3 - 3
Collect the terms in -2 + 2 - 644*u + 3 - 1.
-644*u + 2
Collect the terms in 65*g + 242*g + 5 + 36*g + 2*g**2 - 133*g - 2.
2*g**2 + 210*g + 3
Collect the terms in -5205 + 6*l + 5205 - 10*l + 10*l.
6*l
Collect the terms in 18*t + 7*t + 3*t + 31*t + 9*t - 69*t.
-t
Collect the terms in -77 + 0*x**3 + 89 + 8*x**3.
8*x**3 + 12
Collect the terms in -644*k + 1823*k + k**2 - 634*k - 545*k.
k**2
Collect the terms in 91 - 91 - 1970*j**3 + 1973*j**3.
3*j**3
Collect the terms in -8*i**3 + 122395*i - 19*i**3 - 122395*i + 5*i**3.
-22*i**3
Collect the terms in 29*b**2 - 30*b**2 + 15*b**2 + 66*b**2.
80*b**2
Collect the terms in z - 20*z**2 + 60*z**2 + 38 + 69*z**2 + 0*z.
109*z**2 + z + 38
Collect the terms in 20*n - 25*n - 4 + 0 + 10*n.
5*n - 4
Collect the terms in 1236*h - 4*h**2 + 51 + h**2 + 2*h**2.
-h**2 + 1236*h + 51
Collect the terms in 30*m**2 + 35*m**2 + 21*m**2 - 130*m**2 + 20*m**2.
-24*m**2
Collect the terms in -164*x + 417*x - 256*x.
-3*x
Collect the terms in -17 + 24*m - 100*m - 15 - 7 + 41.
-76*m + 2
Collect the terms in 121*d**2 - 7*d**3 - 61*d**2 - 60*d**2 - 2.
-7*d**3 - 2
Collect the terms in -2*o**3 - 502 - 313 - 3*o**3 + 13*o**3.
8*o**3 - 815
Collect the terms in 63*v**2 + 8*v**2 + 6225*v - 6228*v.
71*v**2 - 3*v
Collect the terms in -15*y**3 + 572055*y**2 - 572055*y**2.
-15*y**3
Collect the terms in -4*f**2 + 0*f**2 + f**2 - 2*f**2 - f**2 - 50*f.
-6*f**2 - 50*f
Collect the terms in 836 + 766 - 5*y**2 - 1602.
-5*y**2
Collect the terms in 86 + 6*n - 27 + 0*n - n.
5*n + 59
Collect the terms in 21 + 14 + 89 - 1971*f**3 + 1973*f**3 + 11.
2*f**3 + 135
Collect the terms in -140*w + 75*w + 2*w**3 - 36 + 65*w + 36.
2*w**3
Collect the terms in 11*q - 65*q + 8*q + 36*q + 37*q.
27*q
Collect the terms in 1898*w**2 + 2319*w**2 + 3984*w**2.
8201*w**2
Collect the terms in -468*m**2 - 26*m**2 + 14 - 14.
-494*m**2
Collect the terms in -870*w + 1175*w - 2 - 4563*w - 1330*w.
-5588*w - 2
Collect the terms in 303 + 23*j + 35*j - 54*j.
4*j + 303
Collect the terms in y + 0*y - 14*y + 2 - 3*y - 50*y**2.
-50*y**2 - 16*y + 2
Collect the terms in -544*o**2 - 20*o**2 - 228*o**2.
-792*o**2
Collect the terms in -17*s - 3 - 4 + 20*s + 17 - 10.
3*s
Collect the terms in -3008731 + 3008731 - 2*k.
-2*k
Collect the terms in 8*k + 167*k + 174*k.
349*k
Collect the terms in -19*m**2 + 25*m**2 + 8 - m**2 + 2.
5*m**2 + 10
Collect the terms in -o - 1606871*o**2 + 11*o - 6*o + 1606873*o**2 - 4*o.
2*o**2
Collect the terms in 3457*i**2 + 292*i - 3477*i**2 - 292*i.
-20*i**2
Collect the terms in -33 + 33 + 184*l**2 + 725*l**2.
909*l**2
Collect the terms in 41799*a + 52 - 930*a - 52.
40869*a
Collect the terms in 88659*u - 23613*u + 35876*u.
100922*u
Collect the terms in -2*r**3 - 81 + 13*r**2 - 27*r**2 + 14*r**2 + 81.
-2*r**3
Collect the terms in -u**2 - 13319 + 13319 - u**2.
-2*u**2
Collect the terms in 116*n + 889*n - 198*n.
807*n
Collect the terms in -5*j - 17138 + 5723 + 5724 + 5691.
-5*j
Collect the terms in -11*y**3 + 38194479183*y**2 - 38194479183*y**2.
-11*y**3
Collect the terms in -15*m - 10*m - 13*m + 46*m - 13*m.
-5*m
Collect the terms in -5*i**2 + 130*i**3 + 8*i**2 - 127*i**3.
3*i**3 + 3*i**2
Collect the terms in 4*y + 10*y + 4*y - 67*y + 55*y.
6*y
Collect the terms in -63*w + 80*w + 74*w + 35*w.
126*w
Collect the terms in 6842589 - 45*n**2 + 43*n**2 - 6842589.
-2*n**2
Collect the terms in 1 - 1 + 2639*d - 729*d**3 - 2641*d.
-729*d**3 - 2*d
Collect the terms in -18618*i + 9315*i + 9318*i.
15*i
Collect the terms in 1060 + 93*s - 435 - 625.
93*s
Collect the terms in -32 + 16 + 2*y**2 + 0*y**2 + 5*y**3 + 2*y**2.
5*y**3 + 4*y**2 - 16
Collect the terms in -166*l - l**3 - 602*l + 2*l**2 - 9*l**2.
-l**3 - 7*l**2 - 768*l
Collect the terms in 131 - 319 + 188 + 2*a.
2*a
Collect the terms in -k**2 + 2*k**2 + k**2 - 89*k - 3*k**2.
-k**2 - 89*k
Collect the terms in 4188*d - 2084*d - 2099*d.
5*d
Collect the terms in -4 - 263*u + 265*u - 7 + 0.
2*u - 11
Collect the terms in 699*i**2 + 503*i**2 + 1379*i**2.
2581*i**2
Collect the terms in -74*s**2 + 353844*s - 353844*s.
-74*s**2
Collect the terms in 343*f**2 + 5*f**2 - 20*f**2 + 143*f**2 + 3*f**3 - f**3.
2*f**3 + 471*f**2
Collect the terms in -398079*m**3 + 37*m - 37*m + 1 + 398080*m**3 - 1.
m**3
Collect the terms in 3 + 0 - 23*l**2 + 7 - 9 + 37*l**2.
14*l**2 + 1
Collect the terms in -5*v - 12*v**2 + 10*v + 0*v + 0*v.
-12*v**2 + 5*v
Collect the terms in 270*h + 1 - 256*h - 21 + 20.
14*h
Collect the terms in -723*t**2 + 2*t - 372*t**2 - 2*t.
-1095*t**2
Collect the terms in 1 - 4 + 176*n + 0 - 4 - 2*n**2.
-2*n**2 + 176*n - 7
Collect the terms in 35*s - 12*s**2 + 87*s - 17*s**2 - 2.
-29*s**2 + 122*s - 2
Collect the terms in 5 + 3132*b**3 - 3093*b**3 - 5 + 0.
39*b**3
Collect the terms in 495*z**2 - 273*z**2 - 383*z**2.
-161*z**2
Collect the terms in -63*j**3 + 44*j - 44*j.
-63*j* | {
"pile_set_name": "DM Mathematics"
} |
1/10
What is (-56)/84 - 448/(-42)?
10
-2 + 1 - -1 - (-2 + 13 + -16)
5
Evaluate 55*3/15 + 5 - 0.
16
What is the value of 905/50 + -18 - 58/(-20)?
3
Calculate (6/(-32))/(43/(3956/138)).
-1/8
What is 57*(4 + 770/(-209))?
18
Evaluate (24/6 + (1 - 885/60))*-2.
39/2
(-1 - 36/(-32)) + -3 + (7 - 4)
1/8
What is (-3 + 161/49)/(711/126 + -6)?
-4/5
What is (59 + (-2392)/40)*(-2)/((-8)/10)?
-2
(6/(-84)*35)/(2/(-40)*2)
25
Evaluate (-9)/((-189)/6) + -2*(-305)/70.
9
0 + 1/(-6)*(-13 - (-7 - 10))
-2/3
Calculate (-10416)/252*(-15)/20.
31
-27 + 15 + -3 + -3
-18
Evaluate (64/20 + -4 - 10/(-25))*-20.
8
What is 45 + 7 + (-465)/15?
21
What is ((-6545)/(-1190))/((-2)/(-4)*-1)?
-11
(-858)/(-209) - 4 - (-348)/(-57)
-6
Calculate (-4928)/1144 + (-1)/(13/(-4) + 3).
-4/13
What is the value of 5868/2445 + (-118)/(-5)?
26
What is the value of 6/(-84)*-4 - 129*(-1)/(-378)?
-1/18
What is the value of (4/10)/(((-480)/25)/(-8))?
1/6
Calculate (1*(-10)/(-25)*15/12)/2.
1/4
Calculate (-38)/(608/(-240)) + 2.
17
Evaluate (1 + -7)*-1 + (138 + -64 - 92).
-12
Calculate -3 + 7 - (-28368)/(-6698).
-4/17
Calculate (-105)/(-189)*(70/75)/7.
2/27
Evaluate 7/14 - (-200)/16.
13
Calculate (-3)/36*-141 - (523 - 509).
-9/4
What is (-24)/(-9) + (-9 + 9)*(-2 - -3)?
8/3
What is the value of (-405)/(-810)*8/(-10)?
-2/5
Evaluate (-3 - (-4 + (9 - 9)))/((-210)/12).
-2/35
Calculate ((13 - 7) + -12)/(4/(-16)*-3).
-8
What is (21/(-14))/((-4)/((-336)/18))?
-7
What is the value of ((-2)/(-6))/(28/252)?
3
What is the value of ((-117)/(-336))/(-1) + 6/96?
-2/7
Calculate ((-15)/(-2))/(-3)*(-284 + 274).
25
Evaluate (2/(-90))/(326/1956).
-2/15
Evaluate 8*(245/(-14))/(-5)*(-24)/(-42).
16
What is (-7446)/(-510) + (6/5)/(-2)?
14
What is the value of (2/3 - (-5)/(-15))*(10 - 10)?
0
What is 2/4*(-672)/(-140)*(-5)/(-2)?
6
Evaluate (9/(-2))/((-21615)/(-5240)).
-12/11
Evaluate 70*42/280 + -8.
5/2
Evaluate ((-2)/(-3))/(((-420)/231)/20).
-22/3
Calculate 187/(-136) - (-16)/12.
-1/24
Calculate (18/126 - (-48)/56)/13.
1/13
What is 12 - (-244 - -13)/(-11)?
-9
26 - 264/22 - 5/5
13
Calculate (-40)/(-24)*(-36)/30 - -8.
6
Calculate -16 - (1116/(-189) - 10).
-2/21
What is (2 - 20) + 5874/330?
-1/5
Calculate (2/(-4) - 0)/(1558/(-41) - -36).
1/4
What is the value of ((-6)/27)/2*234/(-663)*-3?
-2/17
Evaluate (7 + -22)/((-1)/(-1)) + 5.
-10
What is (-782)/210 + (-812)/(-14210)?
-11/3
Calculate -7 + 119/(-70)*-1 - -5.
-3/10
What is 6/9*1 + (5 - (-581)/(-84))?
-5/4
Calculate 1/8*4/(-6)*6/(-8).
1/16
(5*12/(-90))/(32/12)
-1/4
What is (19 + (-1395)/75)/2?
1/5
((1/(-8))/((-4)/264))/((-78)/(-208))
22
Calculate (-6)/(-3)*((-3)/15 + (-70)/(-225)).
2/9
(50/40)/(20/104)
13/2
Evaluate (-518)/(-56) + (-9)/84*-7.
10
What is 18 - 7/(-14)*-14?
11
Calculate 183/(-21472)*-44 + (-18)/32*6.
-3
Calculate 10/2*(-13 - 174/(-15)).
-7
Calculate 57 - (-4)/((-16)/76).
38
Calculate -12*(-1)/50*(49 - 39).
12/5
What is (-248528)/(-7291) + (-3 - 134/(-46))?
34
What is 22 - (32 - (31 + -20))?
1
Evaluate (4/3)/((-612)/(-54)) + (-642)/(-34).
19
Evaluate (-3 - (-28)/10) + 368/40.
9
What is 188/(-280) + 6/10?
-1/14
Evaluate (-128)/(-24) + 16/(-8).
10/3
What is the value of 3/(240/44)*(-7462)/5863?
-7/10
3 - (-132)/(-18) - -4
-1/3
Evaluate (2 - 1 - 11) + (-83)/((-2905)/(-245)).
-17
What is -21 + (-140)/(-7) + -17?
-18
Evaluate (-15)/(-10)*10*4/((-1300)/39).
-9/5
Calculate (1490/70 + -8 + -12)*21/(-12).
-9/4
What is the value of ((-4)/(-30))/((-300)/(-18) - 17)?
-2/5
Calculate ((-76)/(-266))/((-2)/58) - -7.
-9/7
Calculate 1/(4/(-6) - (-39)/234).
-2
What is (-134)/(-7) - (779/798 + 3/18)?
18
Evaluate -8 - (2 - 1)/((-13)/39).
-5
Evaluate (23 - (-2176)/(-160)) + (-14)/((-6)/(-3)).
12/5
Calculate ((-4335)/(-315) - 14)*(-42)/(-70).
-1/7
Evaluate (-231)/12 - (-1)/(-8)*(-2 - 0).
-19
What is the value of ((-5)/((-60)/8))/(196/378)?
9/7
What is ((-18)/(-405) - 40/90) + 1/5?
-1/5
((-113)/6)/(2/(-2)) + (-2)/(-12)
19
(104/1092)/((-30)/(-45))
1/7
Calculate 52/2 + (-12 - 20).
-6
(-2)/10*((-12)/(-15) + (-67)/(-10))
-3/2
Evaluate (18/(-30))/((-456)/(-475)).
-5/8
What is (-9)/(-12)*2*(-4536)/(-756)?
9
What is 6/126*(17 + -10)?
1/3
What is the value of 96/(-30) + 4 - 2 - 58/10?
-7
What is (-417 + 431)/(1/3 + -1)?
-21
What is 144/1656 - 27/(-483)?
1/7
What is the value of ((-45)/81)/((-2)/9)*2/15?
1/3
32/4 + (-133)/7
-11
What is (-15520)/1164*(-27)/(-15)?
-24
Calculate (28 - 1782/63)*42/(-22).
6/11
Evaluate ((-615)/492*44/10)/2.
-11/4
What is 6*(-3)/((-126)/(-70))?
-10
3 - 180/18*-1
13
What is 1*28/8*224/49?
16
Evaluate (1179/(-655) - (-18)/10)/((-1)/1).
0
(2992/238 - 13)/((-51)/7)
1/17
Evaluate (14/(-21))/(6 + (172/15)/(-2)).
-5/2
Calculate 7/(16*(-3)/12).
-7/4
What is (14/40 + (-94)/(-235))*(-161)/21?
-23/4
(-49 - 24102/(-377)) + ((-2)/(-29) - 0)
15
Evaluate (-660)/(-88)*(-4)/(-55).
6/11
(-248)/20 + 4 + (-17 - -25)
-2/5
(-124)/8 + 7 + 5868/696
-2/29
Evaluate (67 - 61) + 1/(-1).
5
(0 - 4/(-54)) + (-840)/(-9072)
1/6
(2/(-5))/((273/(-65))/21)
2
((-16)/32)/((-6)/12)*15
15
What is the value of -38 - ((-2632)/42 - -20)?
14/3
What is ((-40)/(-16) + -1)*(-30)/(-18)?
5/2
Evaluate (4/(-7))/(248/(-3906)).
9
(448/(-80) - -5)*15*2
-18
What is (-256)/(-12) - 540/(-324)?
23
Evaluate (-14 - 972/(-60))*15/3.
11
What is the value of ((-18)/4 + 5)*(5 - -5 - -2)?
6
Evaluate 6*(-4 + (7 - 5))*-2.
24
(-34398)/(-1378) - 25 - (-2442)/106
23
Calculate (5 - 1398/276)/((-15)/(-6) + -2).
-3/23
(-1)/(-4)*40/10*22/(-99)
-2/9
What is the value of 2 - 520/55 - (-24)/(-44)?
-8
What is the value of (-15 - (-58 + 34))*1/7?
9/7
Calculate 16 - 42/3 - (-63)/(-33).
1/11
Evaluate 69/(-12) + (-300)/(-50).
1/4
25 - 104/(-9 - -22)
17
What is ((-30)/4)/(15 - 3 - (-1150)/(-92))?
15
What is -3*(-32 + 124394/3885)?
-2/35
Calculate 13/(-479 + 11) + ((-38)/9 - -4).
-1/4
What is the value of -85*(-14)/175*(-6 - (-170)/20)?
17
What is (-12 + 1020/72)/((-2)/(-12))?
13
Calculate 8/12*120/(-16) + -29.
-34
(-1)/3*1*(1813 - 1812)
-1/3
What is 52/143 + (-3 - (-408)/(-33))?
-15
Calculate (1/14)/((-18)/63) + 51/12.
4
What is the value of (23 - (-950)/(-40))*(-5)/3?
5/4
Evaluate (-5)/(-40) + 2101/88.
24
((-12)/(-32))/((16 - 0)/128)
3
Evaluate (2*3/(-3))/((-4)/8).
4
Calculate (-90)/(-360)*24/51.
2/17
Evaluate (-3 - 3)*((-332)/(-48) - 7)*-9.
-9/2
((-12)/10 - -2)*(37 - 524/12)
-16/3
35/63*((-182)/(-35) - 4)
2/3
10 + -1 - ((-1134)/162 + (-30)/(-2))
1
Evaluate 18 + (-41)/((-22550)/(-9975)).
-3/22
What is the value of -8*(-4)/4 + (-7 + 1 - -11)?
13
(-2)/(-4)*((-2)/(-3))/(10/390)
13
Evaluate 70/80 + (-3)/(-24).
1
58/8 - (1 - 26 - -32)
1/4
Evaluate ((-6)/8)/((-26)/(1092/63)).
1/2
18088/(-680) + 27/1
2/5
Evaluate (-1420)/1960*7 - 3/7.
-11/2
Evaluate ((-12)/15)/(494/(-114) + 3).
3/5
Evaluate 17100/2700 - (-3 - 14/(-6)).
7
Calculate -15 - ((30 - 53) + 2 + 9).
-3
What is the value of (2480/(-100) + 25)/2?
1/10
What is 34 + 40/(9520/(-8106))?
-1/17
Calculate (-92)/(-28) + (-5)/(-7).
4
Evaluate (-1)/9 + (-3 - (-1859)/(-117)).
-19
Calculate (104 - 100) + 18 + 4/(0 - -2).
24
Calculate ((-4)/60)/(-15 - (-3916)/220).
-1/42
What is (20/88)/(8*25/160)?
2/11
(-5 - -10)*5*1 + (-202 - -194)
17
Calculate (17/((-7888)/64))/(6 - 4 - 0).
-2/29
-41 + 43 - 477/243
1/27
What is (-420)/(-375)*65/(-26)?
-14/5
(615/1025)/(0 - (2 - (-42)/(-20)))
6
What is the value of (-6)/26 - 27877/(-3965) - 22/(-10)?
9
What is 119/385 + (-525)/(-875)?
10/11
420/1134*48/(-180)*-9
8/9
What is the value of (-13498)/(-646) + 6*3/171?
21
Evaluate (2 + 26/(-16))*((-368)/(-69))/(-4).
-1/2
Evaluate (30/(-575))/(12 - 378/30).
2/23
Calculate 6 + 1 - (-279)/(-39).
-2/13
What is the value of ((3/12)/((-1)/(-96)))/(-2)?
-12
Evaluate -15 + 2 + (-648)/(-45).
7/5
Evaluate 6/(-1) + (-7616)/(-1288).
-2/23
What is (-1 + 17)*(-1785)/(-4080)?
7
What is ((-2)/18)/(326/(-29340))?
10
(-63)/8 - (-60 + 116 + -63)
-7/8
What is (315/180)/(420/400)?
5/3
Evaluate (15/930)/(13/(-52)).
-2/31
(-26 - 7)*(-5)/(-225)*-5
11/3
What is (-302)/(-18) + (1642 - 1658)?
7/9
What is the value of -15 - 133/(-76)*4?
-8
(69/138)/((-538)/108 - (-40)/8)
27
Calculate -27 - -22 - 16/(112/21).
-8
Evaluate -12 + 2 - (-946)/792*9.
3/4
What is 12 + ((-10)/4 - 0)/(179/358)?
7
Calculate (12/(-14))/(-3) + 279/(-21).
-13
What is the value of 6/(-8)*2728/(-3751)?
6/11
(-1914)/(-522) + 8/(-6)
7/3
What is 465/(-51) + 108/918?
-9
10/16 + (-100)/400
3/8
Calc | {
"pile_set_name": "DM Mathematics"
} |
4*c)*(-4 + 4 - c) in the form r + k*c + z*c**2 and give z.
-107
Rearrange -v**2 - 2*v**2 - 17*v**3 - 31*v**4 + v**2 - 10774 - v + v**2 + 10773 to b*v + l*v**4 + g*v**2 + n*v**3 + x and give l.
-31
Express 17811 - 17811 + 137*s + (-1 - 2 + 4)*(2 + 7*s - 5*s - 3) as f*s + z and give f.
139
Express 307 + 2*y + 385 + 945 + 2293 - 630 as f + m*y and give f.
3300
Rearrange 5217*u + 8612*u + 54 + 9538*u - 54 to the form v + k*u and give k.
23367
Express (-70 + 163 + 19*k - 103)*(-k**3 - k**3 + 3*k**3) as w*k**4 + m*k**2 + v*k**3 + a + f*k and give w.
19
Express -147817*w + 288655*w - 150586*w as i*w + o and give i.
-9748
Express -15*o**3 + 74*o - 179 + 10*o**3 + 176 as n*o**3 + k*o**2 + g*o + w and give w.
-3
Rearrange (1 - 2 - 2)*((2*a + 0*a - 3*a)*(-4 - 6 + 0) - 2*a - 3*a + 3*a) + (-2 - 4 - 5)*(1 + a - 1) to the form c + v*a and give v.
-35
Express 0*j + 4 + 4 - 2*j + 29 + 2*j**2 - 30*j**3 + 18 as r*j + l*j**3 + a*j**2 + z and give a.
2
Express 5 - 1 - 73 - 17 + 8*g**2 - 27 in the form k*g + j + t*g**2 and give t.
8
Express 7161*v + 2960*v + 1219*v as m*v + l and give m.
11340
Express -10269 + 10269 + 2894*j**2 in the form p*j + u*j**2 + x and give u.
2894
Express (1 - 15 - 21 - 61 + 6)*(4218 - 4218 - 56*d) in the form v + t*d and give t.
5040
Express -3841*y**2 - 10206*y**2 - 4944*y**2 + 4424*y**2 in the form u*y**2 + m + f*y and give u.
-14567
Express (-2 + 5 - 1)*((4*c + 3*c - 5*c)*(0 - 1 + 0) + 2 - 4*c - 2 - 8*c + 4*c - 10*c)*(1 + 3 + 2) as f + r*c and give f.
0
Express (5 + 2 - 2209*z**3 + 2211*z**3 - 9*z)*(1 + 3 - 2)*(-2 - 2 + 5)*(3 + 3 - 20) in the form w*z**2 + y + r*z**3 + s*z and give y.
-196
Express -n**4 + 285*n**2 - 4*n**3 - 563*n**2 + 4*n**3 + 279*n**2 + 2*n**3 + 2*n in the form j*n**4 + w*n**3 + m + i*n + h*n**2 and give j.
-1
Express -2*s**3 - 1317731*s**2 - 3 + 1063*s + 1317731*s**2 as d + z*s + c*s**3 + i*s**2 and give z.
1063
Rearrange (w + 2*w - 4*w)*(2 - 2 + 2*w)*(-1 - 1 + 1) + 1303*w**2 + 1999*w**2 - 4145*w**2 to the form q*w + j + k*w**2 and give k.
-841
Rearrange -6*s + 18*s - 44*s - 46*s - 3*s to f + k*s and give k.
-81
Express r**2 + 2*r - 201*r**3 - 1 + 360*r**3 + 143*r**3 in the form c + v*r + s*r**3 + x*r**2 and give x.
1
Express 127804*k**2 - 4 - 255600*k**2 - k - 91*k**3 + 127796*k**2 in the form s*k**3 + t*k + h*k**2 + p and give p.
-4
Express -10*j**2 - 7 - j**3 + 104 + 104 - 23 - 2*j as b*j**2 + l*j**3 + t*j + x and give l.
-1
Express 6*j - 214*j**2 + 76*j**3 + 105*j**2 - 207 - 74*j**3 + 110*j**2 in the form z*j**2 + x + l*j**3 + g*j and give l.
2
Rearrange (-4 + y + 4 + (0*y + 2*y - y)*(-2 + 0 + 3) - 1 + 1 + 2*y + y - y + y - 1 + 1 - 2*y - 17*y - 36 + 14 + 21)*(2 - 1 - 3) to z*y + i and give z.
28
Rearrange (-22 - 18*g - 109*g - 136*g + 56*g)*(-3 - 3 + 4) to the form o + a*g and give o.
44
Express 3*g**3 + 9*g**2 - 42*g**2 + 3978 - 3*g**3 - 3942 + 2*g**3 as h*g + k*g**2 + r + j*g**3 and give j.
2
Rearrange 4*l**4 + 9*l**3 + 3 + 67217*l**2 - 67216*l**2 + l + 3*l**4 to the form p*l**3 + c*l**4 + s*l**2 + k + y*l and give y.
1
Rearrange (11 - 11 + 3*t**2)*(-13 - 9 + 22 + 20*t) - 28*t**3 + 5 - 5 to the form j*t + g*t**2 + d + i*t**3 and give i.
32
Rearrange 102 - 1610*m**2 + 100 + 108 + 107 - 419 to the form g*m + o + x*m**2 and give g.
0
Rearrange 3*v**2 + 5*v**3 + 3*v**2 + 27*v - 4*v**2 - 53*v - 2 to l + h*v**2 + a*v**3 + b*v and give b.
-26
Express 111*q**3 + 3 + 29*q**3 + 2*q**2 + 2*q**4 - 7 - 140*q**3 as n*q**2 + i*q + a + v*q**4 + x*q**3 and give n.
2
Rearrange 2 - 1880*w**4 + 939*w**4 + 167*w**3 - w + 937*w**4 to c + g*w**2 + z*w + t*w**3 + d*w**4 and give d.
-4
Rearrange (-4 + 0 + 76)*(-q**2 + 7*q**2 - 4*q**2)*((q - 4 + 4)*(-5 + 0 + 1) + 7*q + 7*q - 5*q)*(3 + 0 + 0) to x*q**3 + i*q + j*q**2 + l and give x.
2160
Rearrange -476601*x**2 - 6 - 13*x**3 + 476597*x**2 - 2 to k*x + j*x**3 + u*x**2 + v and give v.
-8
Rearrange -6*x**2 + 4*x**2 + 3*x**2 - 2 + 285*x - 3 - 256*x to the form k + y*x**2 + z*x and give z.
29
Express 55 + 42 - 97 + 3943*j in the form q*j + y and give q.
3943
Rearrange -2*g**4 - 611 + 4*g + g**4 + 3*g**3 - g**2 + 1209 - 602 to r + o*g + b*g**4 + c*g**3 + d*g**2 and give b.
-1
Express (-2*n + 0*n + n)*(-1 + 1 + 3)*(420*n**2 - 129971 + 129971) in the form c*n**3 + f*n + q + v*n**2 and give c.
-1260
Express (2*x - 2*x - x**2)*(-14*x + 80*x + 14*x)*(9*x + 8*x - 90*x) as h*x**3 + w + m*x + v*x**2 + j*x**4 and give j.
5840
Express -123*c - 105*c + 149*c - 31 + 0 in the form x*c + o and give x.
-79
Rearrange 125*q - 47*q - 4 + 12*q**2 - 41*q - 35*q to d + r*q + k*q**2 and give r.
2
Express (4 - 1 + 1)*(3322 - 3322*p**3 + 2796*p**3 - 16647*p**3 - 1665 - 1657) in the form t + z*p**3 + h*p**2 + i*p and give z.
-68692
Express (55*a**2 + 183 - 183)*(-110 - 259 + 532)*(0 - 2*a + 0) + 5*a**2 + a**3 - 5*a**2 as m + f*a**2 + g*a**3 + v*a and give m.
0
Rearrange -16*w**2 + 2550 + 8*w**2 + 6*w**2 - 14276 to r + c*w + d*w**2 and give r.
-11726
Express -2*y**2 + 1010 - 18*y - 1010 - 9*y - 132*y**3 + 6*y as k*y + p*y**2 + f*y**3 + n and give p.
-2
Rearrange 2*t - 2*t + t**2 + (-3284 - 556 - 2475)*(2*t - 2*t - t**2) to the form r*t**2 + g*t + l and give g.
0
Rearrange (-14770318 + 14770318 + 2359*n)*(0*n + 0*n + 2*n + (-2 + 2 - 2)*(-4*n + 2*n + 0*n) + 2*n - n + 2*n) to u*n + x*n**2 + q and give x.
21231
Rearrange -2620316*g**2 - 2*g + 2607412*g**2 + 2*g to the form v*g + j + a*g**2 and give a.
-12904
Express -3327*x + 3729*x - 3400*x - 2177*x - 4380*x in the form i*x + m and give m.
0
Rearrange (834*i**2 - 1 - 19*i**3 - 834*i**2 - 13*i)*(-3*i + 0 + 1 + 3) to o*i**4 + s + c*i + h*i**2 + u*i**3 and give c.
-49
Express 1214172*o - 5 + 591*o**2 - 1214172*o + 3 + 511*o**2 in the form q*o + f + a*o**2 and give f.
-2
Rearrange (-384 + 94*o + 4*o - 96*o)*(-2*o + o - 2*o) to the form p*o + f + z*o**2 and give p.
1152
Express -940*r**2 + 4839*r**2 + 7331*r**2 as j*r + w + v*r**2 and give v.
11230
Rearrange -922*d + 5902*d**2 - 5901*d**2 - 46*d - 1334*d to g + j*d**2 + u*d and give u.
-2302
Express 132*a + 3863*a - 13182 + 13182 as j + m*a and give m.
3995
Rearrange -1863 + 569*h + 921 - 123*h + 938 to the form w*h + a and give a.
-4
Express 62 + 78 - 21*g + 140 - 85 + 10*g as w + d*g and give d.
-11
Express (1420*o**2 + 598*o**2 + 535*o**2)*(o**2 + 2*o + 0*o - 2*o**2) - 3*o**4 + o**4 + 7*o**4 in the form n + h*o**3 + s*o**2 + q*o + w*o**4 and give w.
-2548
Rearrange 1237*q + 1238*q - 1625*q to the form p + s*q and give s.
850
Rearrange 65*h**2 + 653 + 11*h - 655 - 501*h**3 + 500*h**3 to the form b + l*h**2 + i*h + p*h**3 and give i.
11
Rearrange (-2*u - 4*u + 2*u + 0*u + 3*u + 0*u - 2*u + u + 0*u + (2 + 0 - 3)*(-1 + 1 + 2*u) - 3*u - u + 2*u)*(-50 - 15 - 40) to the form y*u + i and give y.
630
Express (3*i + 4*i - 2*i)*(0*i + 2*i - 4*i) + 330*i - 3 - 330*i - 23*i**2 in the form f*i**2 + r + x*i and give f.
-33
Rearrange -4*v**4 + 0*v**4 - v**4 + (-3*v**2 + 2*v**3 + 3*v**2)*(-112*v - 93*v - 110*v) to the form d*v**4 + b + z*v**2 + n*v**3 + r*v and give d.
-635
Express -383*h + 22*h**2 + 398*h - 57*h**2 - 16*h**2 as r*h**2 + m*h + i and give r.
-51
Express (26*o**2 - 25*o**2 + 30*o**2)*(150 - 150 + 21*o) in the form v*o**2 + h + s*o**3 + u*o and give s.
651
Rearrange -3*l**4 + 3*l**4 - l**4 + (3 - 2 - 2)*(-307*l**4 - 175*l**4 + 79*l**4) to j + w*l**2 + a*l**4 + g*l**3 + y*l and give a.
402
Express 3175*n - 11*n**4 - n**4 - 2*n**2 + 7*n**4 + 7*n**4 - 1038*n as q*n**3 + m + z*n**4 + b*n**2 + s*n and give z.
2
Rearrange 101 + 58*r + 71 - 36*r + 57 - 9 to h*r + f and give f.
220
Express (1573*f**2 - 794*f**2 - 4 - 777*f**2)*(-2*f - 5*f + 3*f) as l + s*f + d*f**3 + y*f**2 and give d.
-8
Rearrange (-16 - 2 + 5)*(317*u**2 + 17*u**2 + 146*u**2) to the form h*u + t + g*u**2 and give t.
0
Express 30*b**2 - 31*b**2 + 234*b + 1305 + 240*b - 476*b as f*b + g*b**2 + x and give g.
-1
Rearrange -z**4 - 9*z**2 + 3*z - 215570 + z**3 + 215560 + 0*z**3 to i*z**2 + q*z**4 + s*z**3 + p*z + r and give p.
3
Rearrange ((19965 - 650*x - 19965)*(-1 + 7 - 2) + (3 - 1 + 1)*(0*x - 2*x + 0*x))*(-2*x - 1 + 1 + 2) to j*x**2 + a + w*x and give j.
5212
Express -7*m - 1820 + 1800 + 17*m as q + c*m and give c.
10
Rearrange 383*y - 672*y + 19*y - 248*y - 1222*y to the form d + k*y and give k.
-1740
Express -987*j**2 - 457*j**2 - 5 - 40*j**2 - 254*j**2 in the | {
"pile_set_name": "DM Mathematics"
} |
ond in microseconds?
3600
How many millilitres are there in 9087.084 litres?
9087084
How many seconds are there in five sixths of a minute?
50
Convert 0.9705129l to millilitres.
970.5129
How many microseconds are there in 509.0713ms?
509071.3
What is eleven quarters of a week in hours?
462
How many milligrams are there in 13/5 of a gram?
2600
How many months are there in seven sixths of a decade?
140
How many litres are there in 0.9489214 millilitres?
0.0009489214
How many micrograms are there in 0.2341311 kilograms?
234131100
How many micrograms are there in eleven halves of a milligram?
5500
What is 18.54247 centimeters in meters?
0.1854247
What is 21/5 of a microgram in nanograms?
4200
What is 1/18 of a hour in seconds?
200
Convert 2967.684 minutes to nanoseconds.
178061040000000
Convert 835876.1 micrograms to milligrams.
835.8761
How many kilometers are there in 83.86805 nanometers?
0.00000000008386805
How many millimeters are there in 7413.698um?
7.413698
What is eighteen fifths of a tonne in kilograms?
3600
How many millilitres are there in 10272.68 litres?
10272680
What is 599.0517ml in litres?
0.5990517
How many litres are there in 0.7599548 millilitres?
0.0007599548
How many grams are there in three fifths of a kilogram?
600
What is 8/3 of a millennium in months?
32000
What is eleven eighths of a millennium in months?
16500
How many milligrams are there in 7.605638 kilograms?
7605638
How many milligrams are there in 39322.96t?
39322960000000
Convert 15516.91ml to litres.
15.51691
What is eleven halves of a decade in years?
55
How many grams are there in 1/4 of a kilogram?
250
What is 3172.97 weeks in microseconds?
1919012256000000
What is twenty-nine halves of a kilogram in grams?
14500
What is 1.875768 micrometers in millimeters?
0.001875768
How many micrograms are there in 3/8 of a milligram?
375
What is 76.89221s in nanoseconds?
76892210000
What is 63.54158 grams in micrograms?
63541580
What is 3/5 of a kilogram in grams?
600
Convert 950923.5 micrometers to kilometers.
0.0009509235
What is 59/4 of a year in months?
177
What is 7428.591 decades in millennia?
74.28591
How many millimeters are there in 562467.2 kilometers?
562467200000
What is seventy-nine halves of a tonne in kilograms?
39500
How many kilograms are there in 3/25 of a tonne?
120
How many years are there in 0.9686791 centuries?
96.86791
What is 15992.664 months in centuries?
13.32722
How many milligrams are there in 65306.7 micrograms?
65.3067
Convert 738.9603 minutes to days.
0.513166875
What is seven halves of a litre in millilitres?
3500
What is 98778.42 decades in months?
11853410.4
Convert 84.19284 centimeters to kilometers.
0.0008419284
What is eighteen fifths of a litre in millilitres?
3600
What is 0.9194165l in millilitres?
919.4165
How many seconds are there in 3/5 of a day?
51840
Convert 6770.787 years to millennia.
6.770787
What is 1/20 of a century in years?
5
How many micrograms are there in 49211.24 grams?
49211240000
What is 67.15832 litres in millilitres?
67158.32
How many meters are there in 67/5 of a kilometer?
13400
What is 2/75 of a hour in seconds?
96
How many centimeters are there in 7/25 of a kilometer?
28000
How many decades are there in 3.178041 millennia?
317.8041
What is 6/5 of a gram in milligrams?
1200
What is 143355.9 weeks in days?
1003491.3
Convert 5.80065 litres to millilitres.
5800.65
How many millilitres are there in 3/40 of a litre?
75
What is 55998.16 millilitres in litres?
55.99816
Convert 2184.649 meters to micrometers.
2184649000
What is 6/25 of a litre in millilitres?
240
Convert 657.194 litres to millilitres.
657194
How many months are there in twenty-five halves of a year?
150
What is 9572.484kg in micrograms?
9572484000000
How many grams are there in 2336.644 micrograms?
0.002336644
Convert 6198.173ng to kilograms.
0.000000006198173
How many kilometers are there in 0.96867 centimeters?
0.0000096867
How many centuries are there in 271018.9 decades?
27101.89
How many seconds are there in 8754.742 hours?
31517071.2
How many millilitres are there in 5/4 of a litre?
1250
How many micrograms are there in one twentieth of a gram?
50000
What is fifteen quarters of a litre in millilitres?
3750
Convert 89.47376 days to microseconds.
7730532864000
What is twenty-five quarters of a meter in millimeters?
6250
How many nanometers are there in 628.3236um?
628323.6
Convert 6558070.5 minutes to days.
4554.215625
How many days are there in 2203305.3s?
25.50121875
Convert 717.6264 kilograms to nanograms.
717626400000000
What is 16478.69um in millimeters?
16.47869
How many millilitres are there in one twentieth of a litre?
50
How many seconds are there in fourteeen ninths of a hour?
5600
Convert 0.9788018 nanometers to centimeters.
0.00000009788018
How many milliseconds are there in 0.2722211us?
0.0002722211
What is three eighths of a gram in milligrams?
375
What is 6.329449 decades in months?
759.53388
Convert 72742.53 nanograms to milligrams.
0.07274253
Convert 2.428821ng to tonnes.
0.000000000000002428821
How many millilitres are there in five eighths of a litre?
625
What is 47293.68 millennia in months?
567524160
How many millilitres are there in 5.332636 litres?
5332.636
Convert 2198.335ml to litres.
2.198335
Convert 23.71613ml to litres.
0.02371613
How many millilitres are there in 27/2 of a litre?
13500
What is 1/6 of a century in months?
200
How many nanograms are there in 76.08314 grams?
76083140000
What is 3/40 of a litre in millilitres?
75
Convert 0.6907549 litres to millilitres.
690.7549
What is fourty-three quarters of a litre in millilitres?
10750
How many days are there in 233.68743 microseconds?
0.000000002704715625
Convert 0.7025205 months to centuries.
0.00058543375
What is 84403.86 litres in millilitres?
84403860
Convert 910.6354 litres to millilitres.
910635.4
What is 25/2 of a millennium in years?
12500
What is 76372.37 micrograms in nanograms?
76372370
What is 76.18177 centuries in years?
7618.177
What is 450.0513um in millimeters?
0.4500513
What is three sixteenths of a millennium in months?
2250
What is 5/4 of a litre in millilitres?
1250
What is 6954.567 millilitres in litres?
6.954567
Convert 1668.467 decades to months.
200216.04
Convert 899612.6 millilitres to litres.
899.6126
How many litres are there in 0.7527139 millilitres?
0.0007527139
What is seventeen quarters of a litre in millilitres?
4250
How many millimeters are there in 504.8832 micrometers?
0.5048832
How many seconds are there in one sixth of a minute?
10
What is 3/5 of a hour in seconds?
2160
How many millimeters are there in seventeen quarters of a meter?
4250
Convert 8.081208km to nanometers.
8081208000000
Convert 91.20269mm to micrometers.
91202.69
How many kilograms are there in 13/5 of a tonne?
2600
What is 3/5 of a milligram in micrograms?
600
How many minutes are there in one fifth of a day?
288
What is 3/25 of a centimeter in micrometers?
1200
What is one quarter of a meter in millimeters?
250
Convert 83304.86 millilitres to litres.
83.30486
Convert 70116.63um to nanometers.
70116630
What is 6897.329ml in litres?
6.897329
How many milligrams are there in 76856.94 nanograms?
0.07685694
How many nanograms are there in 7/2 of a microgram?
3500
What is sixty-one quarters of a litre in millilitres?
15250
How many millilitres are there in 8168.86 litres?
8168860
How many seconds are there in one sixteenth of a hour?
225
How many millimeters are there in 3.515395 micrometers?
0.003515395
What is 33/5 of a centimeter in millimeters?
66
What is 9/10 of a day in minutes?
1296
How many nanograms are there in 1/4 of a microgram?
250
How many millennia are there in 785.0625 decades?
7.850625
How many millilitres are there in 31/5 of a litre?
6200
How many litres are there in 8136.2ml?
8.1362
What is twenty-five halves of a millennium in decades?
1250
Convert 4627.821cm to micrometers.
46278210
What is seven halves of a century in months?
4200
How many grams are there in 21/8 of a kilogram?
2625
Convert 3326.305 millimeters to nanometers.
3326305000
What is 37/5 of a gram in milligrams?
7400
What is 963.1152cm in meters?
9.631152
How many kilograms are there in thirty-two fifths of a tonne?
6400
What is seven halves of a kilometer in meters?
3500
How many | {
"pile_set_name": "DM Mathematics"
} |
er when 5917 is divided by 2909?
99
Calculate the remainder when 52406 is divided by 519.
506
Calculate the remainder when 1851777 is divided by 42.
39
What is the remainder when 29096 is divided by 61?
60
What is the remainder when 7453 is divided by 3716?
21
What is the remainder when 4134 is divided by 37?
27
What is the remainder when 1227984 is divided by 83?
82
Calculate the remainder when 3711 is divided by 922.
23
Calculate the remainder when 1617 is divided by 1614.
3
What is the remainder when 53494 is divided by 581?
42
What is the remainder when 44756 is divided by 1034?
294
What is the remainder when 30097 is divided by 59?
7
What is the remainder when 76643 is divided by 585?
8
What is the remainder when 34994 is divided by 369?
308
Calculate the remainder when 3307 is divided by 1607.
93
Calculate the remainder when 4619 is divided by 1537.
8
What is the remainder when 82186 is divided by 82179?
7
What is the remainder when 10965 is divided by 78?
45
Calculate the remainder when 18166 is divided by 71.
61
What is the remainder when 27058 is divided by 404?
394
What is the remainder when 23699 is divided by 175?
74
What is the remainder when 405259 is divided by 10?
9
Calculate the remainder when 18104 is divided by 58.
8
What is the remainder when 36189 is divided by 4020?
9
What is the remainder when 133934 is divided by 66?
20
What is the remainder when 11605 is divided by 3855?
40
What is the remainder when 507351 is divided by 847?
845
Calculate the remainder when 1037 is divided by 80.
77
What is the remainder when 17073 is divided by 146?
137
What is the remainder when 40763 is divided by 1271?
91
Calculate the remainder when 4422 is divided by 43.
36
What is the remainder when 541961 is divided by 4?
1
What is the remainder when 23005 is divided by 548?
537
Calculate the remainder when 2935 is divided by 892.
259
Calculate the remainder when 317108 is divided by 141.
140
Calculate the remainder when 199737 is divided by 6443.
4
Calculate the remainder when 46736 is divided by 7778.
68
Calculate the remainder when 2855 is divided by 699.
59
What is the remainder when 76437 is divided by 38209?
19
Calculate the remainder when 2716 is divided by 902.
10
What is the remainder when 5792 is divided by 31?
26
Calculate the remainder when 1830831 is divided by 212.
211
Calculate the remainder when 706568 is divided by 736.
8
What is the remainder when 42054 is divided by 35?
19
What is the remainder when 118395 is divided by 688?
59
What is the remainder when 1806 is divided by 295?
36
What is the remainder when 57561 is divided by 123?
120
Calculate the remainder when 3094 is divided by 461.
328
What is the remainder when 6153 is divided by 96?
9
Calculate the remainder when 9414 is divided by 124.
114
What is the remainder when 74901 is divided by 12478?
33
What is the remainder when 23944 is divided by 78?
76
What is the remainder when 233711 is divided by 34?
29
Calculate the remainder when 271 is divided by 105.
61
What is the remainder when 15863 is divided by 24?
23
What is the remainder when 8679 is divided by 35?
34
Calculate the remainder when 8031 is divided by 1336.
15
Calculate the remainder when 51554 is divided by 29.
21
What is the remainder when 85701 is divided by 42844?
13
Calculate the remainder when 29633 is divided by 6.
5
What is the remainder when 2836 is divided by 157?
10
Calculate the remainder when 87420 is divided by 575.
20
What is the remainder when 5264 is divided by 151?
130
Calculate the remainder when 923338 is divided by 197.
196
What is the remainder when 37177 is divided by 1327?
21
Calculate the remainder when 4213 is divided by 2055.
103
Calculate the remainder when 3005 is divided by 152.
117
What is the remainder when 1041071 is divided by 30?
11
What is the remainder when 1086 is divided by 240?
126
Calculate the remainder when 9937 is divided by 1417.
18
What is the remainder when 2864 is divided by 320?
304
Calculate the remainder when 4030783 is divided by 257.
252
Calculate the remainder when 11801 is divided by 1163.
171
Calculate the remainder when 5509 is divided by 787.
0
Calculate the remainder when 1377 is divided by 342.
9
Calculate the remainder when 15052 is divided by 602.
2
What is the remainder when 1770 is divided by 17?
2
What is the remainder when 152734 is divided by 35?
29
Calculate the remainder when 54850 is divided by 207.
202
What is the remainder when 5659 is divided by 52?
43
What is the remainder when 3069 is divided by 300?
69
What is the remainder when 1084323 is divided by 55?
53
Calculate the remainder when 491851 is divided by 13.
9
Calculate the remainder when 10261 is divided by 11.
9
What is the remainder when 10934 is divided by 2580?
614
What is the remainder when 47670 is divided by 972?
42
What is the remainder when 775 is divided by 442?
333
What is the remainder when 68615 is divided by 3?
2
Calculate the remainder when 213712 is divided by 98.
72
What is the remainder when 9553 is divided by 3180?
13
What is the remainder when 24313 is divided by 4034?
109
What is the remainder when 17734 is divided by 443?
14
Calculate the remainder when 3278 is divided by 1517.
244
Calculate the remainder when 185425 is divided by 104.
97
Calculate the remainder when 28576 is divided by 14285.
6
Calculate the remainder when 120193 is divided by 58.
17
Calculate the remainder when 28872 is divided by 9619.
15
Calculate the remainder when 2600 is divided by 514.
30
What is the remainder when 2598 is divided by 607?
170
What is the remainder when 7588 is divided by 122?
24
Calculate the remainder when 52962 is divided by 45.
42
What is the remainder when 733996 is divided by 47?
44
Calculate the remainder when 29606 is divided by 322.
304
What is the remainder when 14238 is divided by 780?
198
What is the remainder when 4295 is divided by 975?
395
What is the remainder when 32052 is divided by 83?
14
Calculate the remainder when 12227 is divided by 8.
3
What is the remainder when 17504 is divided by 2185?
24
What is the remainder when 27278 is divided by 9091?
5
Calculate the remainder when 18784 is divided by 101.
99
What is the remainder when 3228 is divided by 9?
6
Calculate the remainder when 158857 is divided by 14.
13
Calculate the remainder when 321 is divided by 256.
65
Calculate the remainder when 25940 is divided by 1438.
56
Calculate the remainder when 93961 is divided by 257.
156
Calculate the remainder when 156735 is divided by 190.
175
What is the remainder when 100369 is divided by 3717?
10
Calculate the remainder when 291811 is divided by 59.
56
What is the remainder when 4058 is divided by 407?
395
Calculate the remainder when 1066147 is divided by 96921.
16
Calculate the remainder when 24674 is divided by 2464.
34
Calculate the remainder when 7443 is divided by 6757.
686
Calculate the remainder when 30555 is divided by 73.
41
What is the remainder when 2582628 is divided by 41?
38
What is the remainder when 11907 is divided by 3669?
900
Calculate the remainder when 832 is divided by 398.
36
Calculate the remainder when 1436 is divided by 146.
122
Calculate the remainder when 455136 is divided by 1473.
1452
Calculate the remainder when 1433263 is divided by 47.
45
What is the remainder when 493048 is divided by 13?
10
What is the remainder when 14297 is divided by 32?
25
What is the remainder when 105587 is divided by 147?
41
What is the remainder when 1244 is divided by 693?
551
What is the remainder when 3426 is divided by 1127?
45
What is the remainder when 1872 is divided by 414?
216
What is the remainder when 45553 is divided by 45551?
2
What is the remainder when 3520 is divided by 13?
10
What is the remainder when 55604 is divided by 974?
86
Calculate the remainder when 105451 is divided by 104.
99
Calculate the remainder when 10163 is divided by 340.
303
What is the remainder when 8242 is divided by 640?
562
Calculate the remainder when 11487 is divided by 2279.
92
What is the remainder when 4385 is divided by 188?
61
What is the remainder when 18336 is divided by 538?
44
Calculate the remainder when 34211 is divided by 17084.
43
Calculate the remainder when 29445 is divided by 558.
429
What is the remainder when 38788 is divided by | {
"pile_set_name": "DM Mathematics"
} |
divided by -6
637/6
Divide 257 by -5.
-257/5
What is -2 divided by 143?
-2/143
Calculate 65 divided by 2.
65/2
Calculate -7175 divided by 205.
-35
What is 4 divided by 137?
4/137
What is 2536 divided by 634?
4
Divide 5 by 1006.
5/1006
Calculate 22 divided by 1.
22
Divide -252 by 3.
-84
1 divided by -790
-1/790
What is 568 divided by -5?
-568/5
Calculate -388 divided by -97.
4
Calculate -3059 divided by 5.
-3059/5
What is 4 divided by 1?
4
Calculate -1176 divided by -98.
12
Calculate -86 divided by 43.
-2
-4 divided by -1499
4/1499
Calculate 4545 divided by 1515.
3
Calculate 11 divided by -2278.
-11/2278
Calculate -6 divided by -3.
2
Divide 683 by 5.
683/5
What is 1551 divided by 33?
47
What is 42 divided by -3?
-14
-438 divided by -146
3
Divide -28419 by 1.
-28419
Divide 1 by -36.
-1/36
What is -5 divided by 191?
-5/191
What is -1182 divided by -4?
591/2
1669 divided by 11
1669/11
Divide 1550 by -5.
-310
What is -472 divided by 6?
-236/3
Divide -4452 by 3.
-1484
Calculate -7 divided by 7.
-1
11445 divided by -3
-3815
Divide 130 by -2.
-65
2108 divided by -17
-124
Calculate -1488 divided by 3.
-496
What is -13 divided by -3?
13/3
What is -14494 divided by 3?
-14494/3
What is -5 divided by 223?
-5/223
Divide -34 by -107.
34/107
-2272 divided by -16
142
2276 divided by -1
-2276
What is -7869 divided by 3?
-2623
What is -11 divided by 34?
-11/34
586 divided by 1
586
What is -3521 divided by 503?
-7
10 divided by 35
2/7
18525 divided by -95
-195
What is -8 divided by -85?
8/85
Divide -2058 by -7.
294
32 divided by 2
16
Divide -4 by -91.
4/91
-1 divided by 887
-1/887
Divide 2 by -93.
-2/93
-45 divided by -3
15
Calculate -6218 divided by -6.
3109/3
Divide 6000 by 48.
125
Calculate 3008 divided by 752.
4
What is 1365 divided by 39?
35
481 divided by -9
-481/9
What is -1184 divided by -16?
74
Calculate -3500 divided by -2.
1750
Calculate 510 divided by -102.
-5
Calculate 60 divided by 15.
4
What is 128 divided by 2?
64
Divide 200 by -8.
-25
-1855 divided by -1
1855
What is 16995 divided by -3399?
-5
273 divided by -36
-91/12
Divide -8 by 298.
-4/149
What is -1 divided by -78?
1/78
Divide -936 by 6.
-156
1191 divided by 1191
1
-110 divided by 2
-55
Divide 406 by -1.
-406
2 divided by -392
-1/196
What is -6 divided by -5?
6/5
Divide -3056 by 4.
-764
-5 divided by 2919
-5/2919
Calculate -22914 divided by -6.
3819
Calculate 17752 divided by -2536.
-7
Calculate 4 divided by -4345.
-4/4345
Divide 1332 by -4.
-333
Calculate -560 divided by 112.
-5
296 divided by -296
-1
Calculate 0 divided by 924.
0
Divide 2340 by 6.
390
Divide 300 by 20.
15
Divide 3649 by -3.
-3649/3
Calculate 0 divided by -4531.
0
Calculate -5 divided by -34.
5/34
Calculate 7489 divided by -3.
-7489/3
Divide 19575 by -9.
-2175
Calculate 5704 divided by -1426.
-4
What is -4650 divided by -465?
10
-27 divided by 16
-27/16
Calculate -1662 divided by 3.
-554
-2 divided by -67
2/67
Divide 134 by 67.
2
What is 97 divided by 34?
97/34
What is 190 divided by 19?
10
What is 765 divided by -5?
-153
Divide -633 by -12.
211/4
Divide -7455 by 5.
-1491
Divide -4144 by 148.
-28
Calculate -5192 divided by -44.
118
What is 15 divided by 259?
15/259
-2111 divided by 1
-2111
Divide -564 by -2.
282
86 divided by -6
-43/3
5665 divided by 1133
5
What is -4992 divided by -4?
1248
Calculate -377 divided by -2.
377/2
-1 divided by 26
-1/26
What is -499 divided by -499?
1
447 divided by 8
447/8
Calculate 4 divided by 51.
4/51
Divide 7112 by -1016.
-7
Divide 211 by -8.
-211/8
What is -2 divided by 96?
-1/48
Divide -4 by 8.
-1/2
-18999 divided by 1
-18999
What is -4 divided by -35?
4/35
Divide 1539 by -171.
-9
What is 4 divided by -2641?
-4/2641
What is -319 divided by -26?
319/26
Divide 52 by -13.
-4
Calculate -11 divided by 4.
-11/4
Divide -866 by -1.
866
Calculate 1243 divided by -3.
-1243/3
Calculate 1476 divided by -369.
-4
1050 divided by 50
21
Calculate -4 divided by -43.
4/43
What is 0 divided by 146?
0
-398 divided by 15
-398/15
What is -506 divided by 2?
-253
What is -658 divided by 2?
-329
Divide 4 by -1.
-4
What is -87 divided by -3?
29
What is 2622 divided by 6?
437
Divide -1012 by 12.
-253/3
Calculate -1245 divided by 1245.
-1
What is -2464 divided by -56?
44
What is 19 divided by -1167?
-19/1167
Calculate 330 divided by 4.
165/2
Divide -3 by -4266.
1/1422
Calculate 212 divided by 1.
212
Divide 16 by 9.
16/9
3 divided by 30
1/10
0 divided by 93
0
What is -610 divided by -5?
122
What is 698 divided by -6?
-349/3
What is 895 divided by -179?
-5
Divide 12320 by -176.
-70
-817 divided by 817
-1
Calculate -216 divided by 12.
-18
173 divided by -173
-1
-222 divided by 1
-222
Calculate -452 divided by 113.
-4
Divide 0 by -23.
0
What is 2860 divided by -22?
-130
Calculate 1324 divided by 6.
662/3
Calculate 36 divided by 15.
12/5
Calculate 180 divided by 45.
4
3082 divided by -4
-1541/2
What is 733 divided by 4?
733/4
What is -184 divided by -9?
184/9
Divide 975 by 5.
195
Divide -21 by -20.
21/20
Calculate 1 divided by 10.
1/10
What is -4356 divided by -6?
726
54 divided by 9
6
What is 0 divided by 49?
0
Divide 3 by -456.
-1/152
-1347 divided by -3
449
Calculate 314 divided by 2.
157
What is -3 divided by -339?
1/113
Calculate 2 divided by -339.
-2/339
Divide -255 by 5.
-51
What is -7 divided by 39?
-7/39
What is 4350 divided by 30?
145
Calculate 1038 divided by -6.
-173
290 divided by -5
-58
Divide 6 by 60.
1/10
Divide -873 by 5.
-873/5
Calculate -98 divided by 2.
-49
Divide -788 by -2.
394
Calculate 348 divided by -2.
-174
Calculate 220 divided by 44.
5
335 divided by -67
-5
Calculate 272 divided by -136.
-2
What is 3 divided by -61?
-3/61
Divide -748 by -1.
748
What is -44 divided by -4?
11
9 divided by 3
3
Calculate 0 divided by 329.
0
What is 3 divided by 3585?
1/1195
-149 divided by -1
149
-5564 divided by -4
1391
Divide -162 by 81.
-2
-1382 divided by -1382
1
114 divided by 6
19
3292 divided by -823
-4
Divide -5915 by -5.
1183
-1485 divided by -495
3
Calculate -23404 divided by -2.
11702
-73 divided by 1
-73
Calculate -1133 divided by 103.
-11
Divide -17960 by 5.
-3592
17560 divided by -4390
-4
66 divided by 10
33/5
Divide 9000 by 20.
450
What is 38 divided by -15?
-38/15
Calculate -138 divided by -23.
6
What is 4 divided by 382?
2/191
5 divided by -4565
-1/913
-4 divided by -33
4/33
-630 divided by -18
35
-6430 divided by 2
-3215
Divide -743 by 5.
-743/5
Divide -199 by -199.
1
1277 divided by -4
-1277/4
What is 188 divided by -188?
-1
-2 divided by -3544
1/1772
3192 divided by -1064
-3
57585 divided by 5
11517
What is -44 divided by -10?
22/5
Calculate 202 divided by 4.
101/2
What is -1836 divided by 918?
-2
Calculate 1116 divided by -4.
-279
What is -32 divided by -4?
8
-1631 divided by 3
-1631/3
2 divided by -101
-2/101
Calculate 5 divided by -2256.
-5/2256
Divide 4 by -499.
-4/499
What is -6 divided by 40?
-3/20
-4 divided by 33
-4/33
175 divided by -5
-35
13 divided by -93
-13/93
Calculate -13 divided by -25.
13/25
Divide 3052 by -4.
-763
Divide 0 by -759.
0
Calculate 1240 divided by 40.
31
Divide 0 by 98.
0
Divide -625 by 125.
-5
Divide 1 by 1871.
1/1871
Calculate 3 divided by -2661.
-1/887
Calculate 39 divided by -159.
-13/53
-7841 divided by -2
7841/2
Calculate 5034 divided by 5034.
1
408 divided by 102
4
7 divided by -14
-1/2
2 divided by 83
2/83
Divide 3 by -894.
-1/298
What is -16 divided by -2?
8
2544 divided by -3
-848
Calculate 2 divided by -1938.
-1/969
1 divided by -56
-1/56
-492 divided by -246
2
What is 0 divided by -80?
0
What is -3510 divided by 27?
-130
What is 4 divided by 98?
2/49
Divide -867 by -289.
3
Calculate 4386 divided by -1462.
-3
What is -22434 divided by -3?
7478
What is 10 divided by -11?
-10/11
Calculate -28452 divided by -6.
4742
What is -6135 divided by 15?
-409
What is 384 divided by 24?
16
Divide -5 by -649.
5/649
2 divided by 20
1/10
Divide -399 by 21.
-19
Divide 857 by 5.
857/5
Divide 2 by 6.
1/3
-11944 divided by 5972
-2
Calculate -934 divided by -2.
467
-1916 divided by -5
1916/5
255 divided by -51
-5
What is 1127 divided by -6?
-1127/6
Divide 1872 by -52.
-36
147 divided by -3
-49
42 divided by -7
-6
Divide -5 by 5816.
-5/5816
Calculate -3 divided by -1.
3
Calculate -1220 divided by 244.
-5
Divide -24 by -24.
1
30 divided by -59
-30/59
Calculate -33550 divi | {
"pile_set_name": "DM Mathematics"
} |
0
What is 873.7392mg in tonnes?
0.0000008737392
How many centuries are there in 4.278105 decades?
0.4278105
What is 99.763 millennia in months?
1197156
What is 0.4129295 micrometers in nanometers?
412.9295
How many millimeters are there in one sixteenth of a kilometer?
62500
What is 782.0989 millilitres in litres?
0.7820989
What is thirty-one halves of a decade in months?
1860
What is twenty-one halves of a hour in seconds?
37800
How many months are there in 1/5 of a millennium?
2400
How many tonnes are there in 0.9034123 milligrams?
0.0000000009034123
What is 13/4 of a hour in seconds?
11700
How many meters are there in 35606.77nm?
0.00003560677
How many nanometers are there in 59/4 of a micrometer?
14750
What is thirty-one fifths of a hour in seconds?
22320
What is 87/4 of a meter in millimeters?
21750
How many micrometers are there in 4424.374 centimeters?
44243740
What is 507.153 years in decades?
50.7153
What is fourty-four fifths of a millennium in centuries?
88
What is fifty-five halves of a litre in millilitres?
27500
What is fifty-three fifths of a century in months?
12720
How many months are there in 15/4 of a decade?
450
What is 562.1892 millilitres in litres?
0.5621892
How many litres are there in 0.8043783ml?
0.0008043783
What is 0.0538127 millimeters in centimeters?
0.00538127
How many months are there in twenty-one quarters of a year?
63
How many weeks are there in 3242786.4 milliseconds?
0.00536175
Convert 8.30114 nanometers to meters.
0.00000000830114
How many years are there in 3.909327 months?
0.32577725
How many micrograms are there in fourty-eight fifths of a milligram?
9600
Convert 0.4624193um to meters.
0.0000004624193
How many meters are there in twenty-one eighths of a kilometer?
2625
Convert 3.82356t to kilograms.
3823.56
What is 0.5147484 tonnes in milligrams?
514748400
How many decades are there in 201295.74 months?
1677.4645
What is 97530.21 years in months?
1170362.52
What is 13/4 of a litre in millilitres?
3250
How many hours are there in three sevenths of a week?
72
How many millilitres are there in 25/2 of a litre?
12500
What is twenty-five quarters of a century in months?
7500
What is 0.5473519 millilitres in litres?
0.0005473519
What is 66812.92 centuries in millennia?
6681.292
What is 7.535865 litres in millilitres?
7535.865
What is six fifths of a litre in millilitres?
1200
How many days are there in twenty-three sevenths of a week?
23
What is 102.575241s in days?
0.0011872134375
What is 17/10 of a millennium in years?
1700
How many micrograms are there in 13/5 of a milligram?
2600
What is 5/24 of a day in hours?
5
What is 525420.5 weeks in nanoseconds?
317774318400000000000
Convert 6.849033 hours to minutes.
410.94198
How many micrometers are there in 0.7211148m?
721114.8
What is 6/25 of a meter in millimeters?
240
How many milliseconds are there in 49.57776us?
0.04957776
What is five eighths of a litre in millilitres?
625
What is 102041.3 kilometers in nanometers?
102041300000000000
How many months are there in 27/2 of a century?
16200
How many meters are there in five eighths of a kilometer?
625
How many milligrams are there in thirteen quarters of a gram?
3250
Convert 46809.44 micrograms to milligrams.
46.80944
What is twenty-five quarters of a litre in millilitres?
6250
How many kilograms are there in 12/25 of a tonne?
480
Convert 73389.7kg to tonnes.
73.3897
How many millilitres are there in 5939.901l?
5939901
What is 1670.394 milligrams in tonnes?
0.000001670394
How many days are there in 1459599.21ms?
0.016893509375
What is 5229.65394 minutes in weeks?
0.518814875
What is 15599.68l in millilitres?
15599680
How many hours are there in 27/2 of a day?
324
How many milliseconds are there in 66.78301 days?
5770052064
Convert 8952.021ml to litres.
8.952021
Convert 117519.24 months to millennia.
9.79327
Convert 786.1563mg to micrograms.
786156.3
How many centimeters are there in 1/5 of a kilometer?
20000
What is 5/4 of a kilogram in grams?
1250
How many microseconds are there in 474637.3 minutes?
28478238000000
What is 9107.531kg in milligrams?
9107531000
Convert 0.6146841ml to litres.
0.0006146841
Convert 6196.089 nanoseconds to seconds.
0.000006196089
What is 7/15 of a millennium in months?
5600
Convert 0.5508352 micrometers to kilometers.
0.0000000005508352
What is 0.0377809 decades in months?
4.533708
What is 290.404 tonnes in milligrams?
290404000000
How many millilitres are there in 61/2 of a litre?
30500
How many months are there in 54031.02 decades?
6483722.4
Convert 1.553122km to micrometers.
1553122000
What is one fifth of a litre in millilitres?
200
How many nanometers are there in 641.209 centimeters?
6412090000
What is 31483.38 weeks in minutes?
317352470.4
How many nanometers are there in 6/5 of a micrometer?
1200
What is 4.576 centuries in months?
5491.2
How many milligrams are there in one twentieth of a kilogram?
50000
What is 17208.52 centuries in millennia?
1720.852
How many kilograms are there in 3.99217 nanograms?
0.00000000000399217
How many months are there in twenty-nine halves of a year?
174
How many milligrams are there in 3/10 of a gram?
300
Convert 0.5949831 nanograms to micrograms.
0.0005949831
What is five eighths of a litre in millilitres?
625
What is 29/2 of a kilometer in meters?
14500
What is 43/2 of a litre in millilitres?
21500
How many nanograms are there in 9215.551kg?
9215551000000000
How many centuries are there in 3/10 of a millennium?
3
What is 84670.66 kilograms in milligrams?
84670660000
What is 54.3575 millilitres in litres?
0.0543575
What is 878392.1l in millilitres?
878392100
Convert 71.59195 minutes to milliseconds.
4295517
How many nanometers are there in 21/2 of a micrometer?
10500
Convert 1.515266mg to micrograms.
1515.266
What is 36.1276kg in milligrams?
36127600
How many millilitres are there in seventy-two fifths of a litre?
14400
How many years are there in 82865.11 decades?
828651.1
Convert 583658.5 days to hours.
14007804
How many grams are there in fourty-five quarters of a kilogram?
11250
How many millilitres are there in 59/5 of a litre?
11800
How many years are there in 37/2 of a millennium?
18500
What is 1/10 of a kilogram in milligrams?
100000
How many litres are there in 93319.1ml?
93.3191
How many litres are there in 9708.92ml?
9.70892
What is 3/25 of a millennium in years?
120
What is 0.3009412 decades in months?
36.112944
How many decades are there in 33/5 of a millennium?
660
How many decades are there in 519674.4 millennia?
51967440
What is seventeen halves of a gram in milligrams?
8500
How many millilitres are there in 3/10 of a litre?
300
How many micrometers are there in 0.5888202nm?
0.0005888202
Convert 57.33567m to millimeters.
57335.67
What is 0.3450836mg in grams?
0.0003450836
How many months are there in eleven halves of a year?
66
What is 5.931325 days in microseconds?
512466480000
Convert 42.0022um to nanometers.
42002.2
Convert 646377.7 decades to centuries.
64637.77
How many years are there in 6/5 of a decade?
12
What is eleven quarters of a micrometer in nanometers?
2750
How many millimeters are there in 55/4 of a meter?
13750
What is 3.893819 micrometers in centimeters?
0.0003893819
How many years are there in 1/20 of a century?
5
What is 6.467715 weeks in minutes?
65194.5672
What is 82.09136km in micrometers?
82091360000
Convert 0.8350454 litres to millilitres.
835.0454
Convert 461.18691s to hours.
0.128107475
How many millimeters are there in 5.5769km?
5576900
Convert 62.38724t to grams.
62387240
How many years are there in 31/2 of a century?
1550
How many meters are there in 2148.182mm?
2.148182
Convert 0.9239421 months to centuries.
0.00076995175
What is 6.242914ms in seconds?
0.006242914
How many millilitres are there in six fifths of a litre?
1200
What is 3124.266cm in meters?
31.24266
How many grams are there in thirty-one fifths of a kilogram?
6200
How many millilitres are there in three fifths of a litre?
600
How many decades are there in 5.538738 centuries?
55.38738
What is 0.7965993ng in micrograms?
0.0007965993
How many months are there in 1.59952 centuries?
1919.424
What is 25/4 of a microgram in nanograms?
6250
Convert 1176.246 nanoseconds to seconds.
0.000001176246
How many years are there in 5/4 of a cen | {
"pile_set_name": "DM Mathematics"
} |
arest to -2.8 in -12, -2, -0.4, 153?
-2
Which is the closest to -2/7? (a) 2/213 (b) -14/5 (c) 0.05 (d) -6/5 (e) -0.4
e
Which is the nearest to 2/3? (a) -4/7 (b) -13.1 (c) -0.9
a
Which is the nearest to 23? (a) -5 (b) 764 (c) 1/2 (d) -0.5
c
What is the closest to 0.1 in 0.0363, -203/5, 0, -1/5?
0.0363
Which is the closest to 1? (a) 31 (b) 14 (c) 0.1 (d) -1/9
c
Which is the nearest to 0? (a) -18 (b) -0.1 (c) 1.5 (d) -0.2 (e) 15
b
What is the nearest to 1/4 in -4/3, 30, 0.4?
0.4
Which is the nearest to 6? (a) -2 (b) -27/5 (c) -1
c
Which is the nearest to 1? (a) -5 (b) 35 (c) -4 (d) 11 (e) -3
e
What is the closest to 0 in -1/2, -2/5, 1, -73, -7?
-2/5
What is the nearest to -30/47 in -4/7, -0.4, 0.05?
-4/7
Which is the nearest to -2? (a) -0.1 (b) 3/5 (c) 2 (d) -4 (e) -156.917
a
Which is the closest to -1? (a) 0.1 (b) -3.64 (c) 1/5 (d) 4 (e) 1
a
Which is the closest to -7/765? (a) -1 (b) 1/63 (c) -0.1 (d) 3
b
What is the closest to 6/79 in 0.1, -3/7, 255, -2/7, 6?
0.1
Which is the nearest to -0.1? (a) 2 (b) -5 (c) 10619
a
Which is the nearest to 4? (a) 12 (b) 0.3 (c) 2 (d) 0.4 (e) 4/5
c
Which is the closest to 34? (a) 1/17 (b) -1/8 (c) -5
a
Which is the closest to 1.31? (a) -3 (b) 1/7 (c) -2/243 (d) 1 (e) 3
d
What is the closest to -16009 in 2/9, -2, -3, 5?
-3
What is the closest to 0 in 0.5, 0, 6, -0.2, -0.1?
0
Which is the closest to -2/7? (a) 15/128 (b) 1/39 (c) 1/2
b
Which is the closest to 1/4? (a) -14/3 (b) -8/33 (c) -2/7
b
Which is the nearest to 0? (a) 0 (b) -5 (c) 188 (d) -1/19
a
Which is the nearest to 10? (a) -0.022 (b) 4/5 (c) -0.3
b
What is the nearest to 0.3 in -8, -1/34, -4, -1.2?
-1/34
Which is the closest to 89? (a) -10 (b) -2/15 (c) -15/17
b
Which is the nearest to -0.8? (a) -13 (b) 0 (c) -0.01 (d) -0.11
d
What is the closest to 2 in 282.3, 2/13, -5, -2?
2/13
Which is the nearest to -18? (a) 4 (b) -1916 (c) 1
c
What is the nearest to 6 in 6, -0.14, 74?
6
Which is the nearest to 1/5? (a) 0.08 (b) 25 (c) 162
a
Which is the nearest to 1? (a) 4 (b) -12 (c) 2/893 (d) -4
c
Which is the closest to -1/4? (a) 0 (b) -23/4 (c) 19 (d) 0.4
a
Which is the nearest to -97.4? (a) 0.21 (b) 2/9 (c) 0.2
c
What is the nearest to 17 in -3, 0.1, 0, 0.2?
0.2
What is the nearest to -97/4 in -7, 3/7, -3/4, 1/2?
-7
Which is the closest to -0.1? (a) -25 (b) -504 (c) -0.1
c
Which is the closest to -0.1? (a) -2/639 (b) -3 (c) 3/7 (d) -3/2 (e) 7/3
a
What is the closest to 0 in -6, -3891, 0.5, 1?
0.5
Which is the nearest to -3? (a) -15 (b) -0.1 (c) -14 (d) -2/21
b
Which is the nearest to -1/5? (a) -1.8 (b) -0.01 (c) 0.3 (d) -0.05 (e) 0.1
d
What is the closest to -76 in -0.2, 0.2, 1, -0.3, -4.22?
-4.22
What is the nearest to 1/4 in 0.089, -2/5, -6, -2/3?
0.089
What is the nearest to -1 in -96, 1, -12, -4, 1/5?
1/5
What is the nearest to -0.209 in -0.039, 2, 2/11?
-0.039
Which is the nearest to -1? (a) -0.57 (b) 2/7 (c) -5 (d) 0
a
What is the closest to 1/5 in -8, 3, -577, 1/2, -3?
1/2
Which is the closest to -0.157? (a) 2 (b) -0.2 (c) 0.5
b
Which is the nearest to 0.4? (a) -2 (b) -1/2 (c) -854 (d) 5
b
What is the closest to 1 in 2/9, -14, -1, 33/4?
2/9
What is the nearest to -5 in 0.4, -3/5, 57/37?
-3/5
What is the nearest to 2 in 0.2, -0.1, -2/11, 312, -0.5?
0.2
Which is the closest to -1008? (a) -3 (b) -0.1 (c) 3 (d) 0.4 (e) 1/4
a
Which is the closest to 2? (a) 2 (b) -0.5 (c) -10433 (d) 7
a
What is the nearest to 127/5 in 5, -11, 0.05?
5
Which is the closest to -125.2? (a) 0 (b) -2 (c) 0.29
b
Which is the closest to -2/7? (a) -0.5 (b) 0 (c) 271
a
Which is the closest to -51? (a) 13 (b) 1 (c) 0.18 (d) 0
d
What is the closest to 1 in -3527, -0.3, -1/2?
-0.3
What is the closest to -1 in -0.4, -2/3, 1, -0.3, -1311?
-2/3
What is the closest to 0 in 0.02, 1.04, 1?
0.02
Which is the nearest to 166? (a) 0.2 (b) -424 (c) -2/5
a
What is the nearest to -11 in 4, 1, -8, -127?
-8
Which is the nearest to -5? (a) 248 (b) 1/3 (c) -5 (d) 3
c
Which is the closest to 0.4? (a) -1/4 (b) 2569 (c) -1 (d) 2/21 (e) -3
d
What is the nearest to 2/115 in 45/62, -2/7, 4?
-2/7
Which is the closest to 0.1? (a) -2 (b) 3 (c) 33797
a
Which is the nearest to -2? (a) -4/9 (b) -5/4 (c) 0
b
What is the closest to 11 in 4, -1, -0.0788?
4
Which is the nearest to 1/6? (a) 1/4 (b) 349 (c) 2
a
Which is the closest to 2/99509? (a) 5 (b) 4 (c) -5 (d) 3/4
d
What is the closest to 1/2 in -66, 4, -34.3, 0, -0.1?
0
What is the closest to -0.1 in 7, -382, 5, -5, -1/13?
-1/13
What is the closest to -3 in 0.03, -1, 11, -0.01?
-1
What is the closest to -2 in 1/3, -0.06, 784, 1?
-0.06
What is the nearest to 0 in 44, 1, 0.03, -1/13?
0.03
What is the closest to 66 in -2, 1/3, 0.3, 0?
1/3
What is the nearest to 0 in 2/1315, -3.7, 2/11?
2/1315
Which is the closest to -30.6? (a) 19 (b) 2 (c) -3
c
What is the closest to -13 in -13, 0.04, -3/2?
-13
What is the closest to 0.3 in 1/6, 1, 1310?
1/6
Which is the closest to 1? (a) 4/9 (b) 5 (c) 2 (d) 0.05
a
What is the nearest to -4/7 in -0.4, 6, -22, 3?
-0.4
Which is the closest to -5? (a) -1 (b) 0.06 (c) 3/7 (d) 2/17 (e) 0.08
a
Which is the nearest to -36/5? (a) -542 (b) 1/10 (c) 1/3
b
Which is the closest to 1? (a) 4 (b) -57 (c) 1/25 (d) 0
c
What is the nearest to -1 in 11/13, -5, 31, -1?
-1
Which is the nearest to 2? (a) 4.3 (b) 0.4 (c) -7 (d) 0.2 (e) 24
b
Which is the closest to -2/5? (a) 1 (b) -833 (c) -1 (d) -3
c
What is the closest to 1/2 in 0.3207, -2, 78?
0.3207
What is the nearest to -0.2 in -1/5, -0.8, 15/28, 0.2, 0.3?
-1/5
Which is the nearest to 0.1? (a) -2 (b) -1736 (c) -0.12 (d) 1
c
What is the closest to -0.1 in 3, -5, 2/17, -62/5, -96?
2/17
Which is the nearest to -1032/7? (a) 0.1 (b) 1/3 (c) 11
a
What is the nearest to -7 in 2.6, -4, 11, -3?
-4
Which is the closest to -1? (a) -1.04 (b) -32/7 (c) 3
a
Which is the nearest to 1? (a) -1/5 (b) 0.3 (c) -686 (d) -3 (e) 0
b
What is the nearest to 1 in 81/5, -2, -1, -5?
-1
Which is the nearest to 3? (a) 6 (b) 32 (c) -0.9 (d) -0.3 (e) 4
e
Which is the closest to 0.3753? (a) -0.04 (b) 3 (c) 2/7
c
Which is the nearest to 0? (a) -2/765 (b) 2/29 (c) 2
a
Which is the closest to -317.4? (a) -3/7 (b) 5 (c) -1/2 (d) 4 (e) -1/3
c
Which is the closest to 58? (a) 10.69 (b) 3 (c) -0.06
a
Which is the closest to -0.5? (a) 2/15 (b) -6/7 (c) 5 (d) 1/4
b
Which is the nearest to 2/9? (a) -2/9 (b) 5/14 (c) 0.04
b
Which is the closest to -2? (a) 0 (b) -1/2 (c) 8/13 (d) -3
d
What is the nearest to -7.9 in 1, 4, -0.11, 0?
-0.11
Which is the nearest to 0.1? (a) 23/71 (b) 1/5 (c) -5
b
Which is the closest to -13/7? (a) 1/2 (b) -29 (c) -5 (d) 8/5 (e) 0.4
e
What is the nearest to -7 in -28, 0.1, -3/10, -4, -15?
-4
Which is the closest to -55? (a) 24 (b) -4 (c) 2/7 (d) 5
b
What is the closest to 3/29 in 5, 6, -2/13, -5/17?
-2/13
Which is the nearest to -1/4? (a) 1 (b) 6 (c) 10316 (d) 0.3
d
Which is the nearest to 2/9? (a) 0.2 (b) 2/37 (c) -237 (d) -2/9 (e) -3/5
a
Which is the nearest to 0.01? (a) -2 (b) -4 (c) -4/145 (d) 0.5
c
Which is the closest to 0.3? (a) -0.02 (b) -220 (c) 1/2
c
What is the closest to 1.2 in 0.4, -1, -1/6, 23/11?
0.4
What is the nearest to -1 in 9454, -3, -2/15?
-2/15
Which is the closest to 1? (a) -4 (b) -2/7 (c) 1101 (d) -0.06
d
What is the closest to -29 in 83, 0.2, 4?
0.2
Which is the closest to 0? (a) -0.12 (b) -16 (c) 18 (d) -0.1
d
What is the nearest to 1 in -4, 2/15, -0.2, 74.4, -0.4?
2/15
Which is the closest to -2? (a) -0.04 (b) -2/5 (c) -10
b
What is the closest to 2/5 in -118, 3, -2, 4, -287?
-2
Which is the closest to 1/10? (a) 1/2 (b) -12 (c) -1/5 (d) 2
c
Which is the closest to 29.5? (a) -6 (b) -0.01 (c) -0.2
b
Which is the closest to -0.6? (a) 1 (b) 0.06 (c) -277 (d) 1/15 (e) 5
b
Which is the closest to -22? (a) -6 (b) 1 (c) -280 (d) -0.2 (e) -4
a
What is the closest to 2/3 in 1, -1/56, 5, 1/2?
1/2
What is the closest to -23 in -0.6, -0.2, 1/5, -28/9, -0.5?
-28/9
What is the nearest to 2/5 in 8, 1/3, -2/95?
1/3
What is the nearest to -12 in -12, 28, 3?
-12
Which is the nearest to -4? (a) 2/3 (b) 9.7 (c) 2/2 | {
"pile_set_name": "DM Mathematics"
} |
306 a factor of 40360482?
True
Is 1538 a factor of 970449370?
False
Is 384 a factor of 231697152?
True
Is 22729216 a multiple of 146?
False
Is 660615325 a multiple of 19?
False
Does 16146 divide 3375022908?
False
Does 316 divide 4268844?
True
Does 108 divide 721884060?
False
Is 56 a factor of 85928065?
False
Is 7409434 a multiple of 1882?
True
Is 253 a factor of 523718349?
True
Is 46 a factor of 1198805?
False
Does 140 divide 342046128?
False
Is 386349389 a multiple of 18?
False
Is 7 a factor of 3205128710?
True
Does 18 divide 661126?
False
Does 49 divide 1046468847?
False
Is 939 a factor of 3472119220?
False
Does 13 divide 24950692?
True
Is 29591760 a multiple of 2904?
True
Is 340 a factor of 24524110?
False
Is 7215930 a multiple of 15?
True
Is 832 a factor of 228549568?
True
Is 112633958 a multiple of 41?
False
Is 84 a factor of 243522132?
True
Does 41 divide 75062923?
True
Is 552 a factor of 105417747?
False
Is 146 a factor of 8104919?
False
Does 916 divide 10164466?
False
Is 428536320 a multiple of 60?
True
Is 443 a factor of 1249027868?
True
Is 1249104192 a multiple of 96?
True
Is 17041344 a multiple of 192?
True
Is 12 a factor of 46981188?
True
Is 261 a factor of 175524371?
False
Is 57332376 a multiple of 72?
True
Is 77232719 a multiple of 7?
False
Is 43929891 a multiple of 27?
True
Is 204563854 a multiple of 58?
True
Is 8385965 a multiple of 775?
False
Is 5126570 a multiple of 3?
False
Does 282 divide 2649169926?
False
Is 2942802 a multiple of 25?
False
Is 11726563 a multiple of 15?
False
Does 75 divide 36439524?
False
Does 21 divide 84422940?
True
Is 3486049673 a multiple of 688?
False
Does 1196 divide 281656662?
False
Does 80 divide 196572720?
True
Is 3107 a factor of 381082871?
True
Is 9 a factor of 129688559?
False
Does 14 divide 25420696?
True
Is 7 a factor of 3480895?
False
Is 12099793 a multiple of 9?
False
Is 2069074815 a multiple of 13?
False
Does 646 divide 604211465?
False
Does 59 divide 128595928?
True
Does 830 divide 1463528210?
True
Is 2995 a factor of 390731288?
False
Does 7 divide 13157606?
True
Is 1317 a factor of 67031349?
True
Does 478 divide 460996106?
True
Is 300079694 a multiple of 83?
True
Does 7 divide 17938893?
True
Is 723 a factor of 3306279?
True
Is 44012646 a multiple of 486?
True
Is 246813952 a multiple of 176?
True
Does 579 divide 4904623?
False
Is 27 a factor of 2439666?
True
Is 688 a factor of 78990769?
False
Is 3507 a factor of 175160622?
True
Does 801 divide 639461214?
False
Does 1088 divide 1128274496?
True
Is 166405176 a multiple of 467?
True
Is 94788828 a multiple of 18?
True
Is 872457 a multiple of 4?
False
Is 7932519 a multiple of 1309?
False
Does 4868 divide 113300304?
False
Does 3 divide 14746089?
True
Is 79890145 a multiple of 911?
True
Does 77 divide 4684627332?
True
Is 115 a factor of 28290920?
True
Is 217682108 a multiple of 2324?
True
Does 193 divide 7993441?
False
Does 109 divide 124657523?
True
Is 35122800 a multiple of 5?
True
Does 4734 divide 684602676?
True
Does 1598 divide 116933598?
False
Is 826982632 a multiple of 9?
False
Does 714 divide 61638192?
True
Is 16962981 a multiple of 3?
True
Is 323 a factor of 95760304?
False
Does 1584 divide 843226181?
False
Does 76 divide 434567012?
True
Is 1545507894 a multiple of 8344?
False
Is 8452 a factor of 549849929?
False
Does 93 divide 76104783?
True
Is 2536501838 a multiple of 1846?
True
Is 5002047828 a multiple of 101?
False
Is 17 a factor of 19575942?
True
Is 218103191 a multiple of 14?
False
Is 799194944 a multiple of 32?
True
Does 557 divide 1467299530?
True
Is 25 a factor of 2071417475?
True
Is 5 a factor of 36973386?
False
Is 4 a factor of 62481664?
True
Does 258 divide 20458884?
True
Is 40518737 a multiple of 106?
False
Does 20 divide 63125460?
True
Is 14 a factor of 69394724?
True
Is 151795130 a multiple of 69?
False
Is 4 a factor of 285028158?
False
Is 43874484 a multiple of 204?
True
Does 7 divide 38986437?
True
Is 35153212 a multiple of 34?
True
Is 102966383 a multiple of 175?
False
Does 158 divide 781706924?
False
Is 578 a factor of 1258599109?
False
Is 22 a factor of 341015906?
True
Does 395 divide 149892625?
True
Is 116 a factor of 152558096?
True
Is 65 a factor of 81071510?
True
Is 145921050 a multiple of 450?
True
Does 10 divide 6884510?
True
Is 35959049 a multiple of 704?
False
Is 30028483 a multiple of 358?
False
Is 36719883 a multiple of 208?
False
Does 1202 divide 20586666?
False
Is 58846631 a multiple of 19?
False
Is 33441603 a multiple of 39?
True
Does 11 divide 475539783?
False
Is 91 a factor of 21788494?
True
Is 29 a factor of 26456559?
False
Is 45 a factor of 338923?
False
Is 587 a factor of 3922891842?
False
Is 203 a factor of 343984386?
False
Is 33 a factor of 3495606?
False
Is 9 a factor of 31388634?
True
Is 507 a factor of 30177147?
True
Is 1114 a factor of 29884457?
False
Is 269 a factor of 56549718?
True
Is 135385436 a multiple of 5?
False
Is 556225316 a multiple of 25?
False
Is 551 a factor of 158929857?
False
Is 5285 a factor of 94353105?
True
Is 71753260 a multiple of 24?
False
Is 3 a factor of 2049664?
False
Does 81 divide 185817159?
True
Is 13 a factor of 114713911?
True
Does 36 divide 90542448?
True
Is 434739336 a multiple of 1266?
True
Is 1098 a factor of 3857250942?
True
Does 11 divide 66891693?
True
Does 1086 divide 22505283?
False
Is 9 a factor of 4583952?
True
Is 180 a factor of 32539432?
False
Is 16305672 a multiple of 4?
True
Is 7838187 a multiple of 497?
True
Is 2192388251 a multiple of 213?
False
Is 15354570 a multiple of 21?
True
Is 81 a factor of 1625651?
False
Does 95 divide 29137355?
True
Is 7 a factor of 21830297?
False
Does 5 divide 388070?
True
Does 231 divide 295597149?
False
Is 247 a factor of 225171622?
True
Is 222 a factor of 26353176?
True
Does 6751 divide 449157532?
True
Does 10 divide 328482570?
True
Does 85 divide 274509370?
True
Does 433 divide 126891516?
True
Does 13 divide 779392243?
False
Is 28 a factor of 525156604?
True
Does 590 divide 34591850?
False
Does 160 divide 16439360?
True
Is 91 a factor of 293810818?
False
Does 61 divide 780336208?
False
Is 112 a factor of 6515936?
True
Does 288 divide 579291830?
False
Does 855 divide 40453470?
True
Is 40 a factor of 62272211?
False
Does 350 divide 6565374900?
True
Does 12 divide 70913001?
False
Is 22751640 a multiple of 12?
True
Is 204122197 a multiple of 550?
False
Does 259 divide 311890390?
True
Is 68376105 a multiple of 1657?
True
Is 14851281 a multiple of 1816?
False
Is 2260 a factor of 1085279120?
True
Does 223 divide 2018115?
False
Does 313 divide 12064767?
False
Is 22 a factor of 22144386?
True
Is 4756359 a multiple of 743?
False
Is 2631343629 a multiple of 5241?
True
Is 138 a factor of 139356678?
True
Is 14502222 a multiple of 21?
True
Is 180276579 a multiple of 107?
False
Does 82 divide 11410218?
True
Is 571437065 a multiple of 244?
False
Is 1690875043 a multiple of 13?
True
Is 97 a factor of 209967420?
False
Is 719546148 a multiple of 51?
True
Does 834 divide 347309292?
True
Is 1134596928 a multiple of 87?
True
Does 2818 divide 48001812?
True
Does 108 divide 716938452?
True
Is 1774 a factor of 42269098?
True
Does 1566 divide 269577504?
True
Does 439 divide 103427522?
True
Is 1255 a factor of 1101133235?
True
Is 18 a factor of 36287615?
False
Is 34 a factor of 75089432?
False
Is 6 a factor of 2771612?
False
Does 71 divide 1745626?
False
Does 42 divide 9544164?
True
Is 484 a factor of 77432763?
False
Is 13 a factor of 390295286?
False
Is 17364957 a multiple of 8?
False
Is 2038 a factor of 1632391126?
True
Does 11 divide 33924413?
False
Is 75 a factor of 1682386350?
True
Is 79 a factor of 312984623?
False
Does 16 divide 256304244?
False
Is 120425166 a multiple of 9?
True
Does 48 divide 100289088?
True
Is 6858172 a multiple of 37?
True
Is 533877500 a multiple of 13?
True
Is 20 a factor of 19056868?
False
Is 19 a factor of 68059553?
False
Does 47 divide 182507290?
False
Is 1019473656 a multiple of 6728?
True
Does 624 divide 59131488?
True
Does 127 divide 102650015?
False
Is 42593857 a multiple of 16?
False
Does 3402 divide 707765688?
True
Is 793938424 a multiple of 39?
False
Is 91924315 a multiple of 167?
True
Does 38 divide 26504600?
False
Is 186 a factor of 1567692072?
True
Is 929 a factor of 28939279?
True
Is 66 a facto | {
"pile_set_name": "DM Mathematics"
} |
in descending order.
a, -1/3, -9
Let y = 0.9 - -0.1. Let j = 205/7 - 29. Put y, j, 2, 3/2 in descending order.
2, 3/2, y, j
Let u = 53 - 54. Suppose 9 = 55*c - 58*c. Sort -5, 0, u, c in descending order.
0, u, c, -5
Let c(d) = d**3 - 15*d**2 - 2*d + 33. Let x be c(15). Sort 13, x, -2 in decreasing order.
13, x, -2
Suppose 0 = h - 35*h - 136. Put h, 4, 122 in ascending order.
h, 4, 122
Let p = 36/31 - 118/155. Sort 0.02, p, 1/5, -1/3.
-1/3, 0.02, 1/5, p
Let g = -17.32 + 17.32. Let k = -0.11 - -0.08. Let t = k + -0.47. Put g, t, 0.1 in ascending order.
t, g, 0.1
Suppose -u = -14 - 26. Let p be (3 - (52/20 + 1))*(-8)/6. Put u, p, -1/4 in decreasing order.
u, p, -1/4
Suppose 5*r + 5*i - 37 = -12, -3*r - i = -15. Put r, -2, -1, 4 in increasing order.
-2, -1, 4, r
Let r = 0 + -1. Let d(p) = p**3 + 10*p**2 + 3*p + 26. Let h be d(-10). Let q be (-26)/h - 9/6. Sort -5, r, q.
-5, r, q
Let o = -21 - -18. Put 1, 8, -5, o in ascending order.
-5, o, 1, 8
Let v = -0.0056 + 0.5056. Sort v, 0.2, -3/11, -1 in descending order.
v, 0.2, -3/11, -1
Let u = -210 + 1468/7. Sort u, 4, -4, 3 in ascending order.
-4, u, 3, 4
Let d = 1302 - 903. Put 5, 1, d in descending order.
d, 5, 1
Let w(q) = -q**2 + 22*q + 71. Let v be w(25). Let l(n) = -n**3 + 4*n**2 + 5*n + 2. Let t be l(5). Sort v, -3, t in ascending order.
v, -3, t
Let s = 0.243 - -0.057. Sort s, 2, -1/10, -1.
-1, -1/10, s, 2
Let a = -54 + 59. Sort 11, -5, a in descending order.
11, a, -5
Let c be (0 - (-8 - -7))/(1/7). Sort -1/4, 2, c.
-1/4, 2, c
Let t = -5/18 + 275/342. Put 9, 0.2, t in decreasing order.
9, t, 0.2
Let i be 5 - ((-10)/1)/1. Sort 4, -5, i in decreasing order.
i, 4, -5
Let s be 3 + 7*-6 - -3. Let v = -16 - s. Let o = v + -15. Sort 0, -5, o in descending order.
o, 0, -5
Let i = -12 - -18. Suppose 3 = i*j + 33. Sort 5, 4, j in descending order.
5, 4, j
Let q = -2.851 + -0.049. Let u = q - -2.5. Sort 0.3, 3, u.
u, 0.3, 3
Let g be (-59895)/550 + 2/(-20). Sort -2, g, -3 in descending order.
-2, -3, g
Suppose 0*k - 8 = 4*k. Let r = -218.1 - -209. Let o = -9 - r. Sort 1, k, o.
k, o, 1
Let s = -50 + 53. Let v = s - -1. Let u = 1.4 + 0.6. Sort -0.1, v, u in increasing order.
-0.1, u, v
Let v = 587 + -584. Let s = -1 + 1.1. Sort s, 2/7, v, -1/8 in descending order.
v, 2/7, s, -1/8
Suppose 25 = 19*c - 14*c. Suppose -l = 2*w + 2*w - 10, 0 = -c*l - 2*w + 14. Suppose 0 = -2*m + 2*s + 5 + 13, 5*s + 25 = 0. Sort m, l, -1 in increasing order.
-1, l, m
Suppose -2*w + 4*a = 20, -5*w + 5*a - 4 = 31. Sort -2, 1/3, w in increasing order.
w, -2, 1/3
Let o = -50 - -56. Let r be ((-4)/o)/((-20)/(-12) + -1). Suppose -c = -l - 2*c, c = -2. Sort l, -4, r in descending order.
l, r, -4
Suppose 21*d - 2*r = 24*d + 15, 0 = 5*r. Suppose 4 = 4*i - 16. Sort d, -1/4, i in decreasing order.
i, -1/4, d
Let x = -59 - -56.86. Let j = x - -0.14. Let n = 2 + j. Put -0.4, 2/5, n in increasing order.
-0.4, n, 2/5
Let h = -158.1 + 158.4. Put -2, -0.04, h in ascending order.
-2, -0.04, h
Let m be 2/(-8) - -2*78/48. Put 6, m, -2 in ascending order.
-2, m, 6
Let p = 7.07 + -0.07. Let y = p - 7. Let f = -0.018 + 0.058. Sort f, y, -3 in decreasing order.
f, y, -3
Suppose 0*q + 90 = -6*q. Let t be ((-10)/q*-3)/(15/3). Put t, 2, 0, 7 in ascending order.
t, 0, 2, 7
Let b be (18/33)/(-3) - (-72)/(-1782). Let z = -30 - -119/4. Sort z, b, 3/8.
z, b, 3/8
Suppose -39 = -2*b - 21. Let r be 30/680*24/b. Put r, 3, 0.1, -1/6 in ascending order.
-1/6, 0.1, r, 3
Let s = 16 - 15.93. Let w be (2/3)/(12/18). Let b = -7 - -9. Sort b, w, s in decreasing order.
b, w, s
Suppose 6*z + 91 = 2023. Let a be z/560 - 2/10. Sort 5, a, -1 in descending order.
5, a, -1
Suppose -r + 10 = 4*r. Let v(d) = 2 + 0*d**2 - 1 + 2*d**2 + 0*d**r. Let o be v(-1). Put -3, o, 1 in ascending order.
-3, 1, o
Suppose 4*n = 3*u - 5 - 37, -5*n + 105 = 5*u. Let m(j) = -3*j - 2. Let g be m(u). Put -4, 2, g in ascending order.
g, -4, 2
Suppose -2*r + 10 = -2. Suppose -r = -w + 3*w. Let a be 16/4*-1*-1. Sort w, a, 0.
w, 0, a
Let c = -0.066 + -0.134. Sort c, -1, 2/97 in descending order.
2/97, c, -1
Let n(z) = -z**2 + 5*z + 5. Let i be n(4). Let r = -13 + i. Let b be 7/42 + 1/(-6). Put b, 2, r in decreasing order.
2, b, r
Let o = -0.99 - -1. Suppose -3*d + 4*t - 14 = 0, 2*d + 0*t - 19 = -3*t. Let z = -3 - d. Sort 1, z, o in ascending order.
z, o, 1
Let t be (-6 + 5)/(0 - -1). Sort -6, -3, 5, t in ascending order.
-6, -3, t, 5
Let u = -0.087 + -0.113. Sort 3, u, 4/7 in decreasing order.
3, 4/7, u
Let d = -159 - -87. Let f = d + 71.5. Put -4, 3/22, f, -1 in ascending order.
-4, -1, f, 3/22
Suppose 0 = 3*q + 3*m + 9, -5*q - m = -0*q + 7. Put 9, q, -4, 5 in descending order.
9, 5, q, -4
Suppose -39*k + 42*k = 3. Put -2, -5, -2.2, k in decreasing order.
k, -2, -2.2, -5
Let o be (-8)/20 + (-144)/(-10). Let y(z) = z**3 - 11*z**2 + 10*z + 4. Let u be y(10). Sort u, -5, o, 2.
-5, 2, u, o
Let j be 28/(-27)*((-21)/(-6) - 2). Let u = j + 19/18. Let k = -123 + 617/5. Sort u, k, 2/7 in increasing order.
u, 2/7, k
Let u be 1/9 - (-520)/720. Sort -0.2, 10, u in decreasing order.
10, u, -0.2
Let a = -56.3 - -52. Let s = a - -8.3. Sort 0.4, -1/5, s in decreasing order.
s, 0.4, -1/5
Let c be (25 + -31)*1/(-2). Put 1, c, -2/9 in increasing order.
-2/9, 1, c
Suppose -2*k + 24 = -2*r - 2*r, -5*k = -4*r - 66. Suppose -2 - k = 4*b. Put b, 0.3, -0.6 in ascending order.
b, -0.6, 0.3
Let a be (5 - 5) + (5 + -4)*-11. Sort a, -4, 0 in ascending order.
a, -4, 0
Let o be (-1)/(0 + -1 + 2). Let p = 30 + 2. Let r = p + -29. Put o, 4, r in decreasing order.
4, r, o
Let i = 2.01 + -2. Let k = -0.19 - i. Let s be 64/(-322) + (-2)/(-7). Sort s, -0.3, k in descending order.
s, k, -0.3
Let p = 25 + -23. Let l = -51/2 - -253/10. Put p, l, 2/5, 1 in increasing order.
l, 2/5, 1, p
Suppose -10 = -2*q + 54. Let r be 4/(q/31) + -4. Put -5, -2/13, r, -7/4 in ascending order.
-5, -7/4, -2/13, r
Let n = -351.1 + 351. Put 5, n, -3/4, 13 in decreasing order.
13, 5, n, -3/4
Let o = -16 - -36. Suppose h + o = -4*z, -3*z + 2*h = 11 + 4. Suppose 0 = -3*v - 3*m - 15, 10 = -3*v - 0*v + 2*m. Put 5, v, z in decreasing order.
5, v, z
Let g = 42/36199 - 156380394/615383. Let i = g + 254. Sort -1/2, i, 5.
-1/2, i, 5
Suppose 148 = -8*p + 84. Sort p, 2.5, 1, 0.3 in descending order.
2.5, 1, 0.3, p
Let k(z) = -10*z**2 - 5*z - 4. Let c(u) = u**2 + u + 1. Let t(f) = 4*c(f) + k(f). Let n be t(1). Sort -4, -2, n.
n, -4, -2
Let u be 105/24 + (8 + -10)*2. Put 13, u, -2, 4/5 in increasing order.
-2, u, 4/5, 13
Let r be ((-4)/10)/(12 + 2629/(-220)). Put 3, r, -1 in decreasing order.
3, -1, r
Suppose -22*j = 40 - 194. Sort 5, j, 0 in decreasing order.
j, 5, 0
Let l(d) = -d**3 + 14*d**2 + 36*d - 64. Let o be l(16). Sort -12, 4, o.
-12, o, 4
Let t be ((-2)/(-24))/(5/(-100)). Sort -3/8, t, -3, 2/9 in increasing order.
-3, t, -3/8, 2/9
Let m = 227 - 228. Put -2/13, -4/7, 4, m in ascending order.
m, -4/7, -2/13, 4
Let s = 0 - -0.4. Let l = -269.6 + 284.6. Sort l, -2/3, s.
-2/3, s, l
Let m be 3/8 - 145/(-40). Put -20, -2, m, 2 in ascending order.
-20, -2, 2, m
Let m be (-1 - 0)/((-1)/3). Let y(u) = u**2 - 37*u - 841. Let a be y(53). Suppose 7 = -5*c + 17. Sort c, m, a in ascending order.
c, m, a
Let i(o) = 43*o**2 - 8*o + 4. Let s be i(-2). Sort -4, 4, s in descending order.
s, 4, -4
Let v = -3 - -3.02. Let h = 495 + -494. Sort -2/3, -0.4, v, h in ascending order.
-2/3, -0.4, v, h
Let r be 2/12 - 8/(-144)*-3. Sort 0.7, -4, -1/7, r in increasing order.
-4, -1/7, r, 0.7
Suppose d = 3*f - 2, 3 = -2*d + 3*f + 2. Let w = d - -3. Suppose 3*l = -1 - 8. Put w, 5, l in decreasing order.
5, w, l
Let w = 0.03 - -4.97. Let s = 8 - 12. Let t = -3.8 - s. Sort t, w, 2 in descending order.
w, 2, t
Suppose 5*j = -0*j - 15. Let x = 3/59 + -617/531. Sort j, x, -1 in ascending order.
j, x, -1
Let b be 2*3/(-48) - 2/(-16). Sort b, -5, 22 in ascending order.
-5, b, 22
Let x be 3/(-6) - 75/10. Let b be x/(-6) + 39/(-63). Let o = -89/385 + -3/55. Put b, 5, o in ascending order.
o, b, 5
Suppose 2*j = -2*j - 16. Let n(y) = -29*y + 200. Let b be n(7). Sort b, -6, j, 5 in ascending order.
-6, j, b, 5
Suppose 4*o - 4 = -3*u, 4*u - u + 5*o = 8. Sort u, 4, 2, 5 in ascending order.
u, 2, 4, 5
Let p = -250 + 251. Sort p, 4, -2/21 in ascending order.
-2/21, p, 4
Let i be 3/2 - (-66)/(-36)*1. Let n be (2/ | {
"pile_set_name": "DM Mathematics"
} |
3/p*-2. Let x be ((-3)/y)/(2/(-4)). Calculate the highest common factor of 3 and x.
3
Let i be ((-228)/19)/((-3)/8). Calculate the highest common divisor of 32 and i.
32
Suppose 0*w = w. Suppose w*f = -2*f + 24. What is the greatest common divisor of f and 108?
12
Suppose 2 - 3 = -s. Calculate the greatest common divisor of 7 and s.
1
Let o be 4/(-14) + (-3 - (-657)/21). What is the greatest common factor of o and 140?
28
Suppose 20 = 5*b, -8 = 4*l + 4*b - 44. Let y = 2 + 0. Suppose y*a - 224 = -4*u, -u = 4*u - l*a - 250. Calculate the greatest common divisor of u and 9.
9
Let a(l) be the first derivative of l**3/3 - 3*l**2 - 1. Let p be a(7). Let r = -63 + 119. Calculate the highest common divisor of r and p.
7
Suppose 4*t + 0*t - 8 = 0. Let z be (-34)/4*(t + -4). Suppose 0 = 3*o - 555 + 96. Calculate the highest common factor of o and z.
17
Let f = 125 + -55. Calculate the greatest common divisor of 7 and f.
7
Let p(f) = -2*f. Let l be p(-1). Suppose -3*y = -0*y. Let h be -1*1*(-16 + y). Calculate the highest common divisor of h and l.
2
Suppose 12 = -3*l - 0. Let h(v) = -v**3 - 4*v**2 - v. Let d be h(l). What is the highest common divisor of 28 and d?
4
Let k = 5 - 1. Calculate the greatest common divisor of k and 44.
4
Let u(s) = -s**2 + 8*s + 11. Let f be u(9). Suppose -41 = -f*g - 5. What is the highest common factor of g and 2?
2
Suppose -4*m + 0*c + 4*c = -124, -3*c = -4*m + 129. What is the highest common divisor of m and 96?
12
Let v(a) = -a + 4. Let k be v(0). Suppose -7 - 8 = -5*t. Suppose 2*s - 5 = -t*s. Calculate the greatest common divisor of s and k.
1
Let u be (-88)/(-2) + 4/2. Let w = 0 - 0. Suppose w = l + 4*k - 0 - 11, 9 = -3*k. Calculate the greatest common divisor of u and l.
23
Suppose 29 - 9 = 4*w. Suppose -w*a - 60 = -270. What is the greatest common factor of a and 14?
14
Let l = 5 + 13. Suppose 5*m + 0*m = -z + 635, -5*m - 5*z + 655 = 0. What is the highest common divisor of m and l?
18
Let x(l) = -4*l**2 + 3*l**2 - 4*l - 5*l - 5. Let n be x(-6). Let y be 26/((-3)/(-6) - 6/(-4)). What is the highest common factor of y and n?
13
Let u be (1 - -13)*-1*6*-1. Calculate the highest common factor of 12 and u.
12
Suppose -16*i = -19*i + 114. Calculate the highest common divisor of 95 and i.
19
Let r(d) = d**2 - 5*d - 4. Let o be r(-7). Let m(f) = -f**3 + 4*f**2 + 1. Let j be m(3). What is the highest common divisor of j and o?
10
Suppose -4*g + 8 + 12 = 0. Suppose 5*u = 27 - 7, -g*k = -u - 366. Let o = -18 + k. Calculate the greatest common factor of o and 7.
7
Let g(z) = 9*z**2 + 9*z + 9. Let p be g(-6). Calculate the highest common factor of p and 31.
31
Suppose -7*h + 3*h + 280 = 0. Let u(g) = 3*g - 5. Let i be u(4). Calculate the highest common divisor of h and i.
7
Suppose 2*q - 109 - 3 = 0. Suppose -4*w + 8*w = q. Calculate the greatest common factor of 35 and w.
7
Suppose -u - u = -5*k + 13, -3*k - 17 = 5*u. Let q = 4 + k. Suppose -5 = -4*z - 0*h - q*h, 2*z + 3*h = 1. Calculate the highest common factor of 45 and z.
5
Let y(h) = -h**3 - 2*h**2 - h - 2. Let b be y(-3). What is the highest common divisor of 4 and b?
2
Let g(n) = -3*n - 33. Let h be g(-16). Calculate the highest common factor of 105 and h.
15
Let l be (-61)/(-7) + (-2)/(-7). Calculate the highest common divisor of 9 and l.
9
Suppose 2*o - 3*v = 114, -101 = -2*o + 5*v + 9. What is the highest common divisor of o and 150?
30
Let s be (-3)/(-2)*-10 + -1. Let j = 2 - s. Let y be (-6)/21 + j/14. Calculate the highest common factor of y and 2.
1
Let u(b) = -b**3 + 6*b**2 - 7. Let x be u(5). Suppose 0*m - 72 = -2*m. Calculate the highest common factor of m and x.
18
Let u be 366/216*4 + 2/9. Let x(r) = r**2 + 17*r - 3. Let t be x(-7). Let p = -45 - t. Calculate the greatest common factor of u and p.
7
Let f(q) = -8*q + 4. Let d be f(-3). Let c = -25 + 27. Suppose 6*t - d = c*t. What is the highest common factor of 63 and t?
7
Let y(h) = h**2 - 1. Let f be y(-2). Let m(c) = -c + 6. Let i be m(5). Let u = f + i. What is the highest common factor of 1 and u?
1
Let b be (-2 + 2)/(0 - -1). Suppose b = -6*f + 4*f + 24. Let d = -9 + f. What is the highest common factor of 6 and d?
3
Let n = -82 - -141. Suppose 2*l = 4*l + 78. Let i = l + n. Calculate the highest common factor of i and 80.
20
Let h be (-1 + 8 - 3)/1. Suppose -10 = -5*o + 4*z - 5*z, 5*o + 5*z = -10. Let t = o - -1. What is the highest common divisor of h and t?
4
Suppose f + 237 = n + 11, 0 = -5*n - 3*f + 1162. Calculate the highest common divisor of 23 and n.
23
Let a(b) = b**2 + 6*b - 14. Let t be a(-14). What is the greatest common divisor of t and 245?
49
Suppose k + 4*k - 10 = 0, -5*k - 6 = -4*z. Suppose l + 0 = z. What is the greatest common divisor of l and 44?
4
Let q(n) = -n**3 + n**2 - 24. Let p be q(0). Let o = -7 - p. What is the greatest common divisor of 153 and o?
17
Let i = 2 + 1. Let h be (-506)/(-4) - (-2)/(-4). Suppose i*c = 5*c - h. What is the greatest common factor of c and 9?
9
Let b be (-428)/(-5) - ((-6)/(-10))/1. Let n(h) = -h**2 - 6*h + 5. Let m be n(-6). Let d be -2 + 1 + 7*m. Calculate the highest common factor of d and b.
17
Let m be (4 - -20) + 0 + -1. Suppose -q = 3*q - 64. Let a = m - q. What is the highest common factor of a and 77?
7
Suppose 4*i = -4*q + 2*i + 352, -i - 94 = -q. Suppose 1 = m - 3. Suppose 5*n = 2*c - 10 - 72, -c = m*n - 28. Calculate the greatest common divisor of c and q.
18
Suppose -8 = 2*x - 4*x. Suppose -8 = 5*v + 3*a - a, -5*v + x*a = -16. Suppose 2*d + 6 = v, 0*w - w + 39 = -d. Calculate the greatest common factor of w and 24.
12
Suppose -132 = -2*i - 60. What is the highest common divisor of i and 90?
18
Let d = -11 + 15. What is the highest common divisor of 44 and d?
4
Let o be ((-90)/(-35))/(6/28). Suppose 2*f - 3*f - 3*d = -23, -o = -4*d. Calculate the greatest common divisor of f and 42.
14
Let q = -29 - -57. Let k be 4/14 + (-156)/(-42). Calculate the greatest common divisor of q and k.
4
Suppose -5*k + 0*w + 45 = -5*w, -5*k + 18 = 4*w. Let r(z) = -z**3 + 6*z**2 + 2*z + 3. Let d be r(k). Calculate the greatest common factor of d and 30.
15
Let a = 4 - -4. Let m be (-3)/(-2 - 3/(-6)). Suppose -m*q + f = 2*f - 114, -f = 5*q - 282. Calculate the highest common divisor of q and a.
8
Suppose -3*d - 60 = -4*a + 20, 0 = a + 3*d - 5. What is the highest common divisor of a and 68?
17
Suppose 9 + 153 = 3*r. Suppose -21 + r = 3*i. What is the greatest common divisor of 1 and i?
1
Suppose 32 = 2*d + 2*d. Let h(w) = 11*w**2 - 2*w. Let v be h(2). What is the greatest common divisor of d and v?
8
Let z = 41 + -34. What is the greatest common divisor of 14 and z?
7
Let z(r) = 2*r**2 + r - 36. Let f be z(-8). What is the highest common factor of f and 12?
12
Suppose -4*a + 0*h + 28 = -h, -5*a = 5*h - 60. Let s(u) = -12*u - 16. Let l be s(-6). Calculate the greatest common divisor of l and a.
8
Let r be 3 + 1 + 11 - 1. Calculate the greatest common divisor of 35 and r.
7
Suppose 5*j = 11 + 34. Let a(w) = 2*w**3 - 5*w**2 - 13*w + 3. Let t be a(5). What is the highest common divisor of j and t?
9
Let x be (-2)/(-4) - (-95)/10. What is the highest common divisor of 20 and x?
10
Suppose 5*f - 242 = -4*w, 5*f = 2*w - 12 - 124. Suppose -3*s + w = -0*s. What is the highest common divisor of s and 3?
3
Suppose -a + 75 + 20 = 0. What is the highest common factor of 19 and a?
19
Let l(h) be the second derivative of 12*h**4 + 2*h + 1/2*h**2 - 1/3*h**3 + 0. Let w be l(1). Calculate the greatest common divisor of w and 13.
13
Let r = 3 + 2. Suppose 3*v - r*n + 2*n - 3 = 0, -41 = 4*v + 5*n. Let m be (16/(-6))/(v/6). What is the highest common factor of 4 and m?
4
Let g(w) = -w + 1. Let y be g(7). Let j be y/12*(-10 - 0). What is the greatest common factor of j and 1?
1
Let h be 4/(-14) + (-912)/(-7). What is the greatest common divisor of h and 26?
26
Let i(c) = -c - 11. Let j be i(-12). Suppose 0 = -r + 2, j + 121 = 4*f + r. What is the greatest common divisor of 60 and f?
30
Let o = 140 - 130. Suppose -1 = -2*n + 79. Calculate the greatest common factor of n and o.
10
Let w be 3*22 + 7 + -10. Calculate the greatest common factor of 9 and w.
9
Let z = -4 + 8. Suppose -3*y = -z*y. Suppose -3*u + 494 - 143 = y. Calculate the greatest common divisor of 13 and u.
13
| {
"pile_set_name": "DM Mathematics"
} |
s(k(j))?
-12*j**2
Let i(t) be the first derivative of -1/4*t**4 + 0*t**2 + 23 - 31*t - 37/6*t**3. Let z(f) be the first derivative of i(f). Let a(m) = m. Determine z(a(p)).
-3*p**2 - 37*p
Let b(m) = -m. Let o(v) = -2315399*v**2. Determine b(o(t)).
2315399*t**2
Let p(o) = -55*o + 43*o + 33*o. Let g(r) be the first derivative of -r + 0*r - 6 + r**2 + r. Give p(g(y)).
42*y
Let o(h) = -38338860*h. Let c(y) = y**2. Calculate o(c(g)).
-38338860*g**2
Let k(a) = -732*a**2 - 387*a. Let o(d) = -4*d**2. Determine k(o(z)).
-11712*z**4 + 1548*z**2
Let b(w) = -9*w. Let h(k) be the third derivative of 7*k**5/20 + 3*k**2 - 782. Give h(b(a)).
1701*a**2
Let x(m) = -11*m. Let i(q) = 393*q + 392*q - 1163*q + 2*q**2 + 402*q. What is x(i(w))?
-22*w**2 - 264*w
Let l(g) = -6*g**2. Let s(c) = 2093*c**2 - 59*c. Determine s(l(b)).
75348*b**4 + 354*b**2
Let g(l) = 5*l + 104. Let q be g(-20). Let v(b) = -q*b**2 - 4*b**2 + b**2 + 3*b**2. Let p(r) = -26*r**2. Determine v(p(x)).
-2704*x**4
Let b(u) = 4*u**2 - 470*u - 13. Let g(x) = -94*x. Let z(r) = -b(r) + 5*g(r). Let q(i) = 5*i. What is q(z(o))?
-20*o**2 + 65
Let i(w) = -5*w - 16. Let j(c) = 414*c - 63. Let d(z) = 4*i(z) - j(z). Let m(q) = 6*q**2. Determine d(m(t)).
-2604*t**2 - 1
Let p(l) = -21*l - 33*l - 2*l. Let w(d) be the second derivative of -d**4/6 + 123*d - 5. Calculate w(p(a)).
-6272*a**2
Let i(b) = 5*b. Let n(z) = -1. Let s(k) = -2*k - 7. Suppose 0 = 8*j - 2*j + 570. Let g = j + 91. Let r(t) = g*s(t) + 28*n(t). Calculate r(i(c)).
40*c
Let n(c) = -4*c + 30. Let l be n(3). Let a(r) = r + 0*r - 17*r - l*r. Let j(v) = -2*v**2. What is a(j(s))?
68*s**2
Suppose -5*d + 9*d = 16. Let c(t) = 103*t - d*t + 7*t + 32*t + 89*t. Let u(n) = -2*n**2. Give c(u(q)).
-454*q**2
Let n(i) = 39*i + 1. Let z(l) = -5*l - 5. Let s(m) = 3*m + 5. Let y(w) = -s(w) - z(w). What is n(y(j))?
78*j + 1
Let f(d) = -3*d. Suppose 232*g - 231*g = 5587. Let m(w) = g - 5587 - w. Determine f(m(p)).
3*p
Let m(c) = c**2. Let y(l) = -7*l. Let f be y(-1). Let g(b) = 48*b**2 - 6 + 2 + 2 - f*b**2. Give m(g(k)).
1681*k**4 - 164*k**2 + 4
Let b(i) be the first derivative of -i**6/360 + i**3 - 19*i + 210. Let q(l) be the third derivative of b(l). Let z(s) = -76*s**2. What is q(z(u))?
-5776*u**4
Let o(x) = 3*x. Let b(t) be the first derivative of 95*t**3 - 4*t + 9129. Calculate b(o(k)).
2565*k**2 - 4
Let b be (-4)/4*(-1)/(1/(-3)). Let r(h) = h - 2. Let w(p) = -2*p**2 - 3*p + 6. Let n(d) = b*r(d) - w(d). Let g(i) = -2*i - 2. What is g(n(t))?
-4*t**2 - 2
Let d(h) = 2*h. Let u(f) = -9469291*f. Determine d(u(l)).
-18938582*l
Let s(n) = 38*n**2. Let k(y) = -8167*y - 12. Give k(s(p)).
-310346*p**2 - 12
Let i(m) = -86*m**2 + 3370. Let v(w) = 11*w**2. Give i(v(o)).
-10406*o**4 + 3370
Let d(z) = 2400377*z. Let j(b) = -39*b. Give d(j(n)).
-93614703*n
Let x(u) be the second derivative of 7*u**4/12 + 15*u. Let l(r) be the first derivative of -3*r**3 + 208. Calculate l(x(q)).
-441*q**4
Let p = -454 + 1039. Suppose -h + 4*h = p. Let a(d) = -3*d + h - 195. Let l(v) = -7*v. Calculate a(l(u)).
21*u
Let v(h) = -h**2 + 1300402*h - 1300402*h. Let y(b) = -204*b. Give v(y(k)).
-41616*k**2
Let d(y) = 8509 - 7*y - 8509 + 3*y. Let f(i) = -3*i. Let h = 7 - 5. Let k(s) = -13*s. Let v(g) = h*k(g) - 9*f(g). Give v(d(x)).
-4*x
Let x(a) = a. Let f(t) be the third derivative of -91*t**6/720 + 29*t**4/4 + 123*t**2. Let q(r) be the second derivative of f(r). Give q(x(d)).
-91*d
Let h(j) = -j**2. Let t(u) = 170*u**2 + 151*u - 149*u + 297*u**2 + 4*u**2 + 405*u**2. Calculate t(h(x)).
876*x**4 - 2*x**2
Let p(i) = -9*i. Let r(l) = -6*l**2 + 24*l + 8. Let w(h) = 8*h**2 - 28*h - 9. Let v(o) = -7*r(o) - 6*w(o). Give v(p(g)).
-486*g**2 - 2
Let s(t) = 209*t. Let x(i) = 471*i - 2 - 208*i - 132*i - 126*i. What is s(x(q))?
1045*q - 418
Let a(n) = 824835 + 2*n - 824835. Let d(k) be the third derivative of -13*k**5/60 + k**3/3 + 22*k**2. Determine a(d(f)).
-26*f**2 + 4
Let p(u) be the second derivative of u**6/120 - u**3/3 + 2*u. Let x(i) be the second derivative of p(i). Let o(v) = 4*v + 25*v - 26*v. Calculate o(x(q)).
9*q**2
Let f(x) = 201*x**2. Let y(d) = -85626*d. Give f(y(n)).
1473694187076*n**2
Let o(v) = -v. Let t be -1*25/2*(-128)/80. Let l(p) = 63*p**2 - t*p**2 - 44*p**2. Calculate l(o(q)).
-q**2
Let h(d) be the first derivative of -1/2*d**2 + 0*d - 23. Let o(v) = 23*v**2 + 4. Give h(o(q)).
-23*q**2 - 4
Let c(v) = -57044459*v. Let f(b) = -2*b**2. Determine c(f(w)).
114088918*w**2
Let u(g) = -7*g**2. Let f(j) = -8*j - 54. Suppose 0 = -4*q + 3*i - 34, 4*q - i = -4*i - 22. Let k be f(q). Let z(v) = 1 + 1 - 3*v**k - 2. Determine z(u(c)).
-147*c**4
Let p(s) = -s + 50. Suppose 25 = 3*f - l, 4*l + 23 = 6*f - 5*f. Let g(c) = 6*c - 23*c + f*c + 9*c + 4*c. Determine p(g(j)).
-3*j + 50
Let c(q) = 178457*q. Let t(b) = -33*b**2 - 1. What is t(c(i))?
-1050947728017*i**2 - 1
Let w(k) be the second derivative of k**3/2 + 9615*k. Let o(j) = -2*j + 530. Give o(w(c)).
-6*c + 530
Let w(f) = f**2. Let h(p) = 22370865*p. Calculate w(h(v)).
500455600848225*v**2
Let q(n) = -2*n**2. Let s(l) = -78*l - 196851. Calculate s(q(y)).
156*y**2 - 196851
Let k(m) be the second derivative of -m**6/360 + 91*m**4/12 - 82*m. Let u(r) be the third derivative of k(r). Let q(j) = -108*j. Determine q(u(l)).
216*l
Let i be (-2)/(-6) - 2/6. Let w(u) = -2*u**2 - 11*u + i*u + 11*u. Let r(n) be the first derivative of 2*n**2 + 5. Give r(w(j)).
-8*j**2
Suppose -24*w = 2475 - 13611. Let o(g) = -4*g**2 + 464 + 6*g**2 - w. Let q(n) = 164*n. What is o(q(s))?
53792*s**2
Let b(c) = 1. Let m(t) = t**2 - 67. Let k(z) = 4*b(z) - m(z). Let o(j) = 61*j + 5. Let s(v) = 12*v + 1. Let y(l) = -2*o(l) + 10*s(l). Calculate y(k(w)).
2*w**2 - 142
Let j(n) = -47*n. Let w be (-12)/(-10) + 1708/10. Let b(o) = -o**2 + 172*o - w*o. Determine b(j(i)).
-2209*i**2
Let s(n) = -37*n - 4. Let k(b) = 55*b + 6. Let d(q) = 4*k(q) + 6*s(q). Let l(j) = 115*j - 4. Let a(m) = -229*m + 9. Let w(f) = 4*a(f) + 9*l(f). Give w(d(z)).
-238*z
Let d(i) = -2*i**2. Suppose -3*l + 5*b = -5*l + 91, 4*b - 50 = -l. Let z(u) = -36*u - 28*u + 5*u - l*u. What is z(d(n))?
194*n**2
Let c(x) = 3*x. Let k(r) = -3715710*r**2. What is c(k(g))?
-11147130*g**2
Let s(u) be the second derivative of -u**3/6 - u. Let n(c) = -91*c - 59*c + 23*c**2 + 33*c**2 + 150*c. Give n(s(y)).
56*y**2
Let a(j) = -9*j**2. Let v(z) be the third derivative of -z**5/60 + 8*z**3/3 - 1681*z**2. What is a(v(y))?
-9*y**4 + 288*y**2 - 2304
Let b(u) = 9*u**2 - 4*u - 401. Let r(t) = 40*t**2 - 1. Determine b(r(x)).
14400*x**4 - 880*x**2 - 388
Let u(h) = 84*h**2. Let w(x) = 1070*x**2 - 1. Give w(u(y)).
7549920*y**4 - 1
Let w(k) be the second derivative of -k**3/2 - 1348*k. Let z(r) = -4*r + 35*r**2 + 4*r. Determine z(w(m)).
315*m**2
Let u(j) = 8*j + 3. Let i(z) = -51*z - 19. Let t(m) = 6*i(m) + 38*u(m). Let w(l) = -383*l**2. Calculate w(t(f)).
-1532*f**2
Let w(s) = 2*s**2. Let b(t) be the second derivative of -t**2/2 - 873*t. Suppose -i = -5*i + 8. Let d(l) = l + 5. Let o(y) = i*d(y) + 10*b(y). What is w(o(n))?
8*n**2
Let i(g) be the third derivative of -171*g**2 + 0 + 0*g + 0*g**3 - 1/12*g**4. Let s(p) = 7*p + 9. Give i(s(r)).
-14*r - 18
Let o(p) = -p. Let r(y) = -85*y. Let j(w) = -4*o(w) + 4*r(w). Let d(v) be the first derivative of -v**2/2 - 14415. What is j(d(h))?
336*h
Let m(n) = 36*n. Let z(v) = v**2 + 1. Let w = 380 + -383. Let c(d) = 2*d**2 - 3. Let g(l) = w*z(l) - c(l). Calculate m(g(r)).
-180*r**2
Let h(d) = 2*d + 819. Let t(m) = -653*m. What is t(h(a))?
-1306*a - 534807
Let q(v) be the third derivative of -v**4/2 - 6144*v**2. Let f(t) = -61*t**2. Calculate q(f(z)).
732*z**2
Let m(g) = 7*g - 11. Let x(t) = -2*t + 3. Let u = 58 + -41. Suppose u*v = 16*v - 22. Let f(c) = v*x(c) - 6*m(c). Let z(y) = 9*y**2. What is z(f(a))?
36*a**2
Let w(r) = -3*r**2. Let v(h) = 555*h. Let m(l) = 569*l. Let o(q) = 4*m(q) - 5*v(q). Give o(w(u)).
1497*u**2
Let n(x) = 126*x**2 + x + 2. Let z(f) = -10*f + 47. Give n(z(o)).
12600*o**2 - 118450*o + 278383
Let v(z) = 60*z + 1. Let n(f) = -3*f - 7537. Calculate n(v(l)).
-180*l - 7540
Let t(w) = 82*w. Let i(j) = -j + 13297. What is i(t(q))?
-82*q + 13297
Let j(h) = h. Let z(o) = 2*o + 20987255. What is j(z(i))?
2*i + 20987255
Let u(q) = -153741*q. Let g(o) = 15*o**2 + 3. Give g(u(x)).
354544426215*x**2 + | {
"pile_set_name": "DM Mathematics"
} |
-0, -3*l - 5 = -b*w. Solve g - w = -g for g.
2
Suppose -7*a + 8 = -3*a. Solve 0*o - a*o - 8 = 0 for o.
-4
Let g = -3 + 6. Let f be (2 - (-1 - -2))*g. Solve 0*m = f*m + 3 for m.
-1
Let c = 23 - 21. Let y be 3 - c - -1 - -2. Solve 0*s = -2*s + y for s.
2
Let v = -207 + 207. Solve v = -x - 2*x - 12 for x.
-4
Let f be (12/10)/(2/(-5)). Let h be 2/(-3) - 20/f. Solve -h*k + 2*k + 12 = 0 for k.
3
Let b(m) = -m**2 - 8*m + 33. Let p be b(-11). Solve p = -n + 4*n for n.
0
Suppose -q + 5 + 3 = 0. Solve 3*o + q = 2 for o.
-2
Let k = 47 + -43. Solve 2 + 6 = k*d for d.
2
Let a = 49 + -24. Let x = a + -10. Suppose 0 = 4*o + 4, 3*z - 3*o = -3 + x. Solve -7 + z = g for g.
-4
Let y = 5 + 8. Suppose 4*o = -5*n + 5*o + 7, 0 = -5*n + 4*o + y. Let u = n + 4. Solve -u*v = -2*v - 15 for v.
5
Let v(g) = -4*g**3 + g + 6*g**3 + 2 + g**2 - 3. Let o be v(1). Solve -3*y = -o - 0 for y.
1
Let i be 2/3 + 8/24. Let o(a) = a**3 - 4*a**2 + a - 4. Let l be o(4). Let s = l + i. Solve 5*x - 4*x - s = 0 for x.
1
Suppose -2*q = -2*u - q + 3, -3*u = 2*q - 22. Suppose 2*r = 2 + u. Solve r*j - 20 = -j for j.
5
Let y be 6/(-4)*(2 + -4). Let u be 2/6 + 26/3. Let z be (-3 - y)/(u/(-6)). Solve -h = z*h for h.
0
Let w be 1 + -1 + 0 + 5. Solve -f - 3 = -w for f.
2
Let k = -19 - -19. Solve -2*w - 1 + 3 = k for w.
1
Let a(j) = -j**3 + 12*j**2 - 11*j + 8. Let x be a(11). Solve -k - x = k for k.
-4
Let h = -46 + 55. Solve -3*q - 6 = h for q.
-5
Let i(b) = -b**2 - 9*b. Let y = -18 + 10. Let q be i(y). Solve -2*g + 0 - q = 0 for g.
-4
Suppose -4*a + 0*a = -8. Let t = 14 + -8. Let g = t - a. Solve g*w = w + 9 for w.
3
Suppose 10*g = 9*g + 2. Suppose -w - 33 = -3*m, 0 = 2*m - 2*w + 1 - 19. Solve g*f - m = -f for f.
4
Suppose -5*a + 4*p = -26, 3*a = -3*p - 2*p - 14. Suppose -3*d - a*d = -55. Solve 4*h + 9 = -d for h.
-5
Let h(g) = -g**2 - 14*g + 1. Let l be h(-12). Solve m - l = -4*m for m.
5
Suppose 0*h = -2*h + 10. Suppose 0 = 4*p + 2*p. Solve 2*c - h*c - 12 = p for c.
-4
Let d = -1 + 0. Let j be d + 3 + 6*-1. Let p = j - -7. Solve -p*a - 4 = 5 for a.
-3
Let y(w) = 231*w**2 - 2*w - 4. Let m be y(-4). Let f be m/(-12) + 1/3. Let k be (-4)/14 - f/49. Solve k = 2*z - 2 for z.
4
Suppose j - n - 9 = 0, 2*j + 2 = 3*n + 15. Let t(r) = -r**2 - 8*r - 7. Suppose 6 = -6*k + 5*k. Let q be t(k). Solve q*m + 6 = -j for m.
-4
Let y(p) = -p + 10. Let k be y(0). Let a = k + -17. Let g = -5 - a. Solve g*l = -2*l for l.
0
Let l = -127 + 132. Suppose 2 = -2*w - 0. Let k be -2 + 0/w + 2. Solve -l*s + 6 + 14 = k for s.
4
Suppose -23 = 5*r - 8. Let k(f) = f**2 + 5*f + 4. Let i be k(r). Let w be (-72)/(-33) - i/(-11). Solve 0*p - p = w for p.
-2
Suppose 6*a - 12 = 2*a. Let t = -7 - -10. Solve 0 = t*g + a + 9 for g.
-4
Suppose 0 = 3*x - 0*x - 12. Solve 4*g + x = -8 for g.
-3
Let b(n) = -n + 11. Let f be b(8). Suppose -f*x = -17 + 2. Suppose -k + 0*k - 2*p = -10, -p + x = 4*k. Solve k = 3*m + 10 - 4 for m.
-2
Suppose 5*y = -n + 33, -n + 4*y = 7 + 5. Solve 3*z + z + n = 0 for z.
-2
Let s(d) = d**2 + 2*d + 4. Let a be s(0). Solve 0 = -0*l - a*l + 4 for l.
1
Suppose -b - 39 = -5*v, -2*b - 14 = -4*v + 22. Suppose -w - 3 + v = -3*y, y - 3 = 0. Solve -4*u - w - 3 = 0 for u.
-4
Suppose 5*y - 41 = -z - 14, 0 = -5*y - 2*z + 24. Suppose -5*w + 3*u + 8 = 0, 2*u + y - 1 = 3*w. Suppose -4*l + 20 = l. Solve w = 5*o - l for o.
1
Suppose 13*c - 15*c = 0. Solve c = -5*g - 6 + 1 for g.
-1
Suppose -2*m = -4*i, -5*i - 5*m - 14 = -44. Solve -10 = -7*d + i*d for d.
2
Let m be (-3)/5 - (-9)/15. Suppose -5*s + z + 4*z + 45 = m, 5*s + 3*z = 77. Solve -4*r + 1 = s for r.
-3
Let u = -8 + 4. Let v = 2 + u. Let w be v + (1 - (-1)/1). Solve -t - 5 = -w for t.
-5
Let b = 4 - 1. Suppose -3*c = -b - 9. Solve h = c*h for h.
0
Suppose -3*z - t + 43 = -3*t, -5*z = 4*t - 35. Suppose 5*r + 0*r = 0. Suppose 0 = w + 4*b - z, -b + 2 = -r*b. Solve 3*x + 0 = -w for x.
-1
Let y be 4/10 + 192/120. Solve 0 = 3*h - y*h - 3 for h.
3
Suppose 0 = 3*s - s + 18. Let a be (2/3)/((-3)/s). Solve -a*k = -6*k - 20 for k.
-5
Suppose -4*s + 9 = -3. Suppose -u + 10 = s*i, -5*i - u - 2*u = -14. Let o be (-4)/(-14) - (-12)/(-42). Solve 4*v - 3*v - i = o for v.
4
Suppose 0*y + 4*x - 11 = y, 5*y + 3*x = 37. Suppose 6*j - 2*j + t - 9 = 0, 2*t = y*j - 8. Solve j*n + 3*n = 0 for n.
0
Let f be (-4)/(8/(-6)) + -2 + 5. Solve f*w = 2*w - 4 for w.
-1
Let i be 5*((-3)/(-3) - 0). Suppose 2*p - i*h - 30 = -7, -3*p = h - 9. Solve 6*l = 2*l + p for l.
1
Let r = 6 + 0. Let z(q) = 5*q**3 + 1. Let t be z(1). Let p = t - 4. Solve r + 4 = p*m for m.
5
Suppose -p = 5 - 6. Solve 3*r = 2 + p for r.
1
Suppose 3*x = -x. Solve z - 7 + 2 = x for z.
5
Let j = 43 - 41. Solve -j + 22 = -5*s for s.
-4
Suppose -36 + 111 = 5*q. Suppose -q = -d - 4*d. Suppose -o + 9 = 1. Solve 0 = o*v - d*v for v.
0
Suppose 4*j = -3*c + 2*c + 16, -8 = -2*c. Solve -3 - j = -2*a for a.
3
Let t(r) = r**2 + 5*r - 4. Suppose 4*w - 8 = -0*c + 2*c, 0 = c - w + 5. Let a be t(c). Suppose -v = -a*v. Solve i + v - 5 = 0 for i.
5
Let j be 0/(-2)*2/4. Let k(l) = -l**3 + 8*l**2 - 6*l - 5. Let q be k(7). Suppose 3*v = 4*v. Solve v = q*x - j*x for x.
0
Let t(j) = j**3 - 8*j**2 + 2. Let a(w) = w**3 + 6*w**2 + 4*w + 3. Let x be a(-5). Let m be t(x). Let c(k) = 4*k - 13. Let h be c(9). Solve 5*n - h = m for n.
5
Let v be (-2)/(-6)*(27 + 0). Suppose -r + 4*n + 8 = 0, -1 = -3*r - 5*n + 6. Suppose 0 = -2*x + 4, -r*x + 7 = a - 1. Solve a*d = 3*d + v for d.
-3
Let n = -6 - -11. Let x = n + -5. Suppose -3*r - r = -d - 15, x = 3*d + 5*r - 40. Solve d*o - 4*o - 4 = 0 for o.
4
Let j be (-1)/(-6)*-2*-9. Suppose -4*v + 7 = -i + 4*i, -3*i = v - 4. Let c = i - 1. Solve c = -j*n + 5*n + 8 for n.
-4
Let k(a) = a**2 + 5*a - 4. Let s be k(-6). Let j = 3 - 1. Solve -y + j + s = 0 for y.
4
Let z be (0 - 0)/4 + 3. Solve -z - 5 = 4*x for x.
-2
Let i(q) = -q**2 + 14*q + 1. Let f be i(14). Solve -f = -2*o + 9 for o.
5
Suppose 0*f - 40 = -5*f + m, -4*m = 0. Let b(t) = 6*t - 10. Let q(w) = w - 1. Let a(l) = -b(l) + 5*q(l). Let z be a(5). Solve f*o - 3*o + 10 = z for o.
-2
Suppose 5*z + 4*h - 11 = 62, 5*z - h - 63 = 0. Solve -5*d + z + 2 = 0 for d.
3
Suppose 0 = -3*p - p - 3*r - 11, -3*p - 2*r - 7 = 0. Suppose 3*b - 5*a - 23 = 0, -2*a = -4*b + 9 + 3. Let i be p/(-2)*b*-6. Solve -f = i*f for f.
0
Let n(u) = -u - 2. Let j be n(6). Let a = 10 + j. Let d(c) = c**2 - 4*c + 1. Let m be d(4). Solve -a*y - 5 = -m for y.
-2
Let f = 2 - -2. Let q = f + 5. Suppose -q = 4*o - 33. Solve -20 = -c + o*c for c.
-4
Let b(f) be the first derivative of 3*f**2/2 - 8*f + 4. Let k be b(4). Solve -k*n + 5 = -7 for n.
3
Let o(k) = k - 2. Suppose 5*r + 10 = -5*u, -u - r + 4*r + 18 = 0. Suppose 8 = -2*h, -2*h = -2*p - u*h + 2. Let n be o(p). Solve -b - 6 + n = 0 for b.
-5
Let a(r) = r + 3. Let s be a(4). Suppose -k + 5*q + s = 0, 0 = -0*k + 2*k - 2*q - 22. Solve 0 = 4*h - h - k for h.
4
Suppose 3*h = -5*z + 22, h + 3*z = 3*h - 21. Suppose h*s - 8*s = 0. Solve -3*l - 3 = -s for l.
-1
Let x(n) be the second derivative of -n**3/6 - 5*n**2/2 - 11*n. Let c be x(-5). Solve c*h - 12 = -4*h for h.
3
Suppose 32 = 4*v - 2*v. Let a be v*1*(-4)/(-8). Solve -5*b + b = -a for b.
2
Let o(x) = x - 7. Let b be o(6). Let a = 4 + b. Solve -a = 5*c + 7 for c.
-2
Let z(x) = 2*x - 47. Let b be z(24). Solve 2*w - b = 7 for w.
4
Suppose -2*q + 4 = -4. Suppose -4*v = -2*g + 8, -g - 5*v + 5 = q*g. Suppose -g*h = -3*h. Solve -4*l - l = h for l.
0
Suppose 4*p + 30 = -6. Let n = p - -17. Let b be (-15)/(-10)*n/3. Solve 12 = -b*c + c for c.
-4
Suppose 2*h = -3*h + 10. Solve -3*b - h*b - 25 = 0 for b.
-5
Let t(o) = -o**3 - 11*o**2 + 2*o + 25. Let b be t(-11). Solve -2*v = -3 - b for v.
3
Suppose -4*v + 72 + 8 = 0. Suppose f = -4*f + v. Let q be 143/26 + (-1)/2. Solve -f*z = -7 - q for z.
3
Let w(n) be the third derivative of 0*n - 1/60*n**5 + 1/2*n**3 - n**2 - 1/6*n**4 + 0. Let d be w(-3). Solve -b = -2 + d for b.
-4
Suppose w = -4*w + 5, c - 10 = -2*w. Solve f = 3*f - c for f.
4
Suppose 7*y + 36 = 3*y. Let n be -3 - 10*y/6. Solve -2*h - n = h for h.
-4
Let s = -15 + 8. Let x = -2 - s. Solve -1 - x = 3*q for q.
-2
Suppose -16 = -3*b + 5*r, 4*r - 6 = -4*b + 3*r. Solve n + 2 + b = 0 for n.
-4
Let f(o) = -o**3 - 9*o**2 + 22*o. Let s be f(-11). Let l be (-1 - 0)/(1/(-2)). Let k be l*38/4*1. Solve -5*w + 6 + k = s for w.
5
Let r be 7/ | {
"pile_set_name": "DM Mathematics"
} |
(1 + sqrt(85)/sqrt(5) + 3 + 1 + sqrt(17) + -1 + 3 + 2)**2.
36*sqrt(17) + 149
Simplify (1 + -5 + sqrt(76))**2 + 2 + (sqrt(2299)*-1 - sqrt(2299))**2.
-16*sqrt(19) + 9290
Simplify (-1*sqrt(65)*3)/(sqrt(15)/sqrt(3)*6 + sqrt(5))*6 + 1.
-18*sqrt(13)/7 + 1
Simplify -1 + ((sqrt(1872) + 1)*-3 + 4)*-1.
-2 + 36*sqrt(13)
Simplify (6*(sqrt(300)*6)/(-3*sqrt(12)/sqrt(2)))**2.
7200
Simplify (-2*sqrt(175)*1 + 5 - (3 + (sqrt(175) - ((-2*sqrt(175) - sqrt(175)) + sqrt(175) - sqrt(175))) - (sqrt(175) + 0 + sqrt(175) + 2*sqrt(175))))**2.
-40*sqrt(7) + 704
Simplify ((sqrt(100) + 2*sqrt(100))/sqrt(10)*1)/(-6*1*sqrt(2)*1).
-sqrt(5)/2
Simplify (1 + (sqrt(3) - (sqrt(243) + -1)))**2 - (0 + (sqrt(3) - (0 + sqrt(243) + sqrt(243)))**2).
-671 - 32*sqrt(3)
Simplify (4 + 3 + sqrt(80) + 3 + 0)*-3.
-30 - 12*sqrt(5)
Simplify 6*(0 + sqrt(252)) + 2 + (sqrt(252) - 1*sqrt(252)) - (3*sqrt(336))/(-2*sqrt(363)).
2 + 402*sqrt(7)/11
Simplify (((4*sqrt(132))/sqrt(6))/sqrt(2) + (-2*sqrt(11) + 3)*-6)**2.
-576*sqrt(11) + 3140
Simplify sqrt(21)/sqrt(3) + 3 + -2 + -5 + (sqrt(700)*2 + -1)*-2.
-39*sqrt(7) - 2
Simplify ((6*1*sqrt(336))/(sqrt(1008) + 2*sqrt(1008) + sqrt(7)))**2.
1728/1369
Simplify -6*-3*sqrt(80) - sqrt(45)/(sqrt(324)*-2).
865*sqrt(5)/12
Simplify (sqrt(60)/(sqrt(10)/sqrt(2)))/(sqrt(6) + (4*(sqrt(6) + sqrt(6)*-2 - sqrt(6)) - sqrt(6))) + 1.
-sqrt(2)/8 + 1
Simplify sqrt(15)/(-1*sqrt(720)) - (sqrt(108)/sqrt(4) + -5).
-37*sqrt(3)/12 + 5
Simplify (-5*(sqrt(1053) - (sqrt(1053) + sqrt(1053) + 1)))**2 + (sqrt(91) - 2*(sqrt(91) - -2*sqrt(91)))/sqrt(7).
445*sqrt(13) + 26350
Simplify ((4 + sqrt(15)/sqrt(3) + -2*sqrt(80) + sqrt(80) + -4*sqrt(30)/sqrt(24))*-4)**2.
-640*sqrt(5) + 2256
Simplify ((2*sqrt(40))/sqrt(2) + sqrt(20) + (sqrt(20) - sqrt(80)/sqrt(4)*1))/(-1*(-1*sqrt(250) - sqrt(250))).
3*sqrt(2)/10
Simplify -1 + (sqrt(10) + (sqrt(490) - (sqrt(490) + (sqrt(490)*-3 - sqrt(490)))))/(sqrt(288)*-4) + 4.
-29*sqrt(5)/48 + 3
Simplify 2 + (((sqrt(35) + sqrt(2835))*4)/sqrt(7) - (sqrt(20) + -1 + sqrt(20) + 2)).
1 + 36*sqrt(5)
Simplify (sqrt(240)/(sqrt(64)/sqrt(4)))/((sqrt(588) - (-1*sqrt(588) + sqrt(588)) - sqrt(588)) + sqrt(588) + (-1*sqrt(96) + sqrt(96))/sqrt(8)).
sqrt(5)/14
Simplify 4 + (-4*(sqrt(110) - -4*1*sqrt(110)))/(sqrt(160)*-3).
4 + 5*sqrt(11)/3
Simplify (2*sqrt(608))/(sqrt(4)/sqrt(2)*-2).
-4*sqrt(19)
Simplify (sqrt(68)*-4*3)/(sqrt(1152)/sqrt(8) + sqrt(4)).
-12*sqrt(17)/7
Simplify (sqrt(1900)*-1)**2 + 5 + -1 + (sqrt(1900)*-3 - (sqrt(19) + sqrt(1900) + -1 + sqrt(1900)))**2.
-102*sqrt(19) + 51324
Simplify ((0 + (1 + sqrt(567))*-3*1)*2)**2.
648*sqrt(7) + 20448
Simplify (-5*(sqrt(68) + -2 - sqrt(68))*-6 - (sqrt(68) + 0 + sqrt(68) + 3 + 2))**2.
520*sqrt(17) + 4497
Simplify -2*(sqrt(162) + (5 + sqrt(162))**2 + -5 + sqrt(162)) + 2.
-362 - 216*sqrt(2)
Simplify 1*(sqrt(7) + 1)**2*1 - (1 + 3 + sqrt(847)).
-9*sqrt(7) + 4
Simplify -4 + -1*sqrt(980) - ((sqrt(45)*1*-3)/(sqrt(99)/(sqrt(11)*-2)))**2.
-184 - 14*sqrt(5)
Simplify (0 + sqrt(1573) + 0 + -1*sqrt(1573)*2 + 2 + sqrt(1573) + 5 + 1 + sqrt(1573))**2.
176*sqrt(13) + 1637
Simplify (2*sqrt(19)*-2 + (sqrt(171)*-2 + sqrt(171))/sqrt(9) + -5*(sqrt(1900) + 0 + sqrt(1900)))**2 + -1.
209474
Simplify -4 + (sqrt(108) + sqrt(108)*1 + -2 + 1)**2.
-24*sqrt(3) + 429
Simplify ((sqrt(1215)*-2)/sqrt(5))**2 - ((-4 + (sqrt(48) - sqrt(3)) - sqrt(3) - sqrt(3)) + -2)**2.
12*sqrt(3) + 933
Simplify ((0 + 3*(1 + sqrt(180)) + (sqrt(180) + 1 + -5 - ((sqrt(180) - (5 + sqrt(180)*1)) + sqrt(180))))*-2)**2.
576*sqrt(5) + 6544
Simplify ((sqrt(108) - ((sqrt(108)*6 - sqrt(108)) + sqrt(108))*6) + sqrt(108))/(sqrt(726)*-3 + sqrt(6)).
51*sqrt(2)/16
Simplify ((sqrt(847)*-1)**2 + sqrt(847))*3 + 0 + (sqrt(343)*1)**2 + 4.
33*sqrt(7) + 2888
Simplify (sqrt(560) - ((sqrt(560) - sqrt(560)*-2 - sqrt(560)) + sqrt(560))*-1)/(6*3*sqrt(7)*6).
4*sqrt(5)/27
Simplify sqrt(33)/sqrt(3)*6 + sqrt(176) + sqrt(11) + -2 + (sqrt(275) + 0)*1 + sqrt(275).
-2 + 21*sqrt(11)
Simplify (sqrt(18) + -5*(-1*sqrt(18) + sqrt(18)) + (sqrt(2592) - -2*sqrt(2592)))/(sqrt(99)/(sqrt(11) + (sqrt(275) - (sqrt(275)*2 + sqrt(275))))).
-333*sqrt(2)
Simplify ((sqrt(240) - -4*sqrt(240))/sqrt(4))/sqrt(12) - (sqrt(45) - (1*sqrt(405) + sqrt(405))/sqrt(9))/sqrt(9).
6*sqrt(5)
Simplify -5*(-5 + ((sqrt(252) - (3 + (sqrt(252) - (sqrt(252) + -1) - sqrt(252) - sqrt(252))) - sqrt(252))*-6)**2).
-184295 + 17280*sqrt(7)
Simplify (-6*(0 + (sqrt(22)/sqrt(2) - sqrt(11))) - (-4 + sqrt(176) + (sqrt(1100) + 1)**2)) + -2.
-1099 - 24*sqrt(11)
Simplify (0 + -5*((sqrt(84) - -6*-2*sqrt(84))/sqrt(12) + -3))**2.
1650*sqrt(7) + 21400
Simplify (-4 + sqrt(20) + -2 + sqrt(20) + 4)**2 + sqrt(140)/sqrt(28) + (sqrt(20)*1)**2*6.
-15*sqrt(5) + 204
Simplify 6*(2*(sqrt(2057) + 1)*4)**2*6.
50688*sqrt(17) + 4741632
Simplify (sqrt(70)/(sqrt(2) + (sqrt(18)/sqrt(9) - sqrt(2))))/(-3*sqrt(175)).
-sqrt(5)/15
Simplify -5*(-2 + sqrt(7)) + 0 - (1*sqrt(700)*3)**2.
-6290 - 5*sqrt(7)
Simplify ((-2 + (sqrt(1300) + 2 + -3 + sqrt(1300) - sqrt(1300)))*5*3)**2.
-13500*sqrt(13) + 294525
Simplify ((-3*sqrt(350)*6)/(-1*-1*sqrt(7)))**2.
16200
Simplify (-3*(-2 + sqrt(153)))**2 - (1 + sqrt(2448)*4).
-156*sqrt(17) + 1412
Simplify (sqrt(7)*3 + -3 + sqrt(14)/sqrt(72) + sqrt(7) + 5)**2*-3*-6.
300*sqrt(7) + 4519/2
Simplify (5 + 6*sqrt(152)/((sqrt(8) + (sqrt(8) - sqrt(40)/sqrt(5)) + sqrt(8))*-3 - sqrt(8)))**2*-3*-2.
-360*sqrt(19)/7 + 11454/49
Simplify (-6*sqrt(156)*-2 + sqrt(156) + sqrt(156) + (sqrt(156) - (sqrt(156)*2 + sqrt(156)))*-3)/((3*sqrt(72) + sqrt(72))/sqrt(6)*-1).
-5*sqrt(13)
Simplify (1 + (sqrt(11) - (sqrt(396) + -5*sqrt(396) + sqrt(396))))**2 + -2*(sqrt(99) + (0 + sqrt(99))**2).
32*sqrt(11) + 3774
Simplify (-4 + 2*-6*(5 + sqrt(272) + 5 - sqrt(272)))**2.
15376
Simplify 6*(sqrt(7200) + sqrt(7200) + 1 + 4)*-4*5.
-14400*sqrt(2) - 600
Simplify ((sqrt(17) + -2)*6 - ((-1*sqrt(136))/sqrt(8) + sqrt(17))) + sqrt(136)/(sqrt(128) + sqrt(128) + -3*sqrt(128)).
-12 + 23*sqrt(17)/4
Simplify (0 + sqrt(2736) + sqrt(2432)/sqrt(2))**2 + 2.
7602
Simplify ((sqrt(171)/(-2*sqrt(3)*5))/(sqrt(432)*-2 - (sqrt(3) - 4*sqrt(15)/sqrt(5))))**2.
19/44100
Simplify (1*sqrt(704) + (-1*sqrt(121))/sqrt(11))**2 + (sqrt(176) + (2*sqrt(176))**2 + sqrt(176))*-1.
-165 - 8*sqrt(11)
Simplify 0 + 5*(-1 + sqrt(7) + 2 + 5 + -2 + sqrt(7))*2.
40 + 20*sqrt(7)
Simplify ((sqrt(637) + 1 + 4 - sqrt(637)*2*5)*-2)**2 + 5.
-2520*sqrt(13) + 206493
Simplify ((-4*sqrt(288)*-1)/(sqrt(30)/(sqrt(80) + sqrt(5))))**2*4.
76800
Simplify (-1*-2*((sqrt(245) - (-1 + sqrt(245))) + sqrt(245)) - -3*(sqrt(245)*2 + 2 - sqrt(245)))**2.
560*sqrt(5) + 6189
Simplify ((-1*sqrt(2662)*-6)/(-4*-1*sqrt(11)*4))**2.
1089/32
Simplify (-1*(-4 + sqrt(117) + sqrt(117)*-4 - (-4 + sqrt(117) + 0 + sqrt(117))))**2 + -3.
2922
Simplify 2 + ((1 + sqrt(112))*6 + -4 - ((sqrt(112) - ((sqrt(112) - (1*sqrt(112) + sqrt(112))) + 5)) + (1 + sqrt(112))*-6))**2.
1040*sqrt(7) + 11371
Simplify 3 + 1 + -5 + sqrt(65)/(sqrt(5) - (2*sqrt(5) + sqrt(5))*-3).
-1 + sqrt(13)/10
Simplify ((-2*sqrt(72) + sqrt(72))**2 + sqrt(72))*1 + -5*(sqrt(72)*2)**2 + (sqrt(72) + ((-2 + sqrt(72))*-3)**2 - (6*1*sqrt(72))**2).
-3276 - 204*sqrt(2)
Simplify (sqrt(1088)*3 + sqrt(1088) + 0)**2*-3*2 + 1.
-104447
Simplify (5*(sqrt(104)*2 - sqrt(104))*-4)/(sqrt(8) + -1*1*sqrt(8) + sqrt(8) + (sqrt(32) - sqrt(64)/sqrt(2)))*-6.
120*sqrt(13)
Simplify (-2*(sqrt(102) - sqrt(102)*2*1))/(-5*sqrt(18)/sqrt(3)*-6).
sqrt(17)/15
Simplify ((sqrt(2448) - ((sqrt(2448) - (sqrt(2448) + 0)*1) + sqrt(2448))) + 4*2*sqrt(2448) - (sqrt(2448) + -1 + 2 + sqrt(2448) + 0 + sqrt(2448) + -4))**2.
360*sqrt(17) + 61209
Simplify (-6*(5 + 0 + sqrt(931)) + 3)**2.
2268*sqrt(19) + 34245
Simplify ((sqrt(95) - (sqrt(95) + (sqrt(95) + sqrt(95)*-1*-6 - sqrt(95))))*5)/(-6*sqrt(605)*1).
5*sqrt(19)/11
Simplify (2*-1*(sqrt(294)/sqrt(6)*5)/sqrt(252))**2.
175/9
Simplify -3 + 1*1*sqrt(5) + (3 + sqrt(20)/sqrt(4))**2 + (sqrt(55) - sqrt(220) - sqrt(55) - sqrt(55))/sqrt(11).
4*sqrt(5) + 11
Simplify (-6*((sqrt(209) + -2*sqrt(209))*-1 - sqrt(209)))/((3*sqrt(88)*1)/sqrt(8)).
0
Simplify ((((sqrt(170)*1)/sqrt(10) - (sqrt(17) + sqrt(425) + 2)) + 2)*-5)**2.
10625
Simplify -4*((((1*sqrt(78) - sqrt(78))*1)/sqrt(6))**2 - (5 + sqrt(52)/sqrt(4))*-6).
-120 - 24*sqrt(13)
Simplify (-2*(sqrt(1377) + -1))**2 - (sqrt(2448) + 0 + -2)**2.
-24*sqrt(17) + 3060
Simplify ((1*sqrt(4)*-6)/sqrt(2)*-3 + 0 + | {
"pile_set_name": "DM Mathematics"
} |
common factor of w and 14?
14
Let a(v) = v**3 - 2*v**2 - 1. Let i be a(-4). Let x = 169 + i. Calculate the greatest common factor of 18 and x.
18
Let r be (-7 - -14) + 1 + 2. What is the highest common divisor of r and 80?
10
Let b be (-71)/(-5) - (-12)/15. What is the highest common divisor of b and 105?
15
Let u be 58*-1*2/4. Let q = u - -53. Suppose 0 = -539*p + 547*p - 128. Calculate the greatest common divisor of q and p.
8
Let g = -21 - -35. Let o = 248 - 150. Calculate the highest common divisor of o and g.
14
Let b(y) = y**3 + 8*y**2 + 2*y + 8. Let c be b(-6). Calculate the greatest common divisor of 34 and c.
34
Let i = 32 + -14. Suppose 20 = -5*z, -o + z = 2*z - 41. Calculate the highest common factor of i and o.
9
Suppose 3*x = 8*x - 15. Let y = 3 - 1. Calculate the highest common factor of y and x.
1
Let y = 17 - 5. Let v be 4/6*(0 - -3). What is the highest common divisor of y and v?
2
Suppose -16*k + 10*k + 1080 = 0. What is the highest common factor of k and 20?
20
Suppose -21 - 19 = -2*i. Calculate the highest common divisor of 10 and i.
10
Let n = 13 - 6. Suppose 25 - n = 3*x. What is the highest common divisor of 54 and x?
6
Let x be 3 - 1 - (-3 - -7). Let u = 2 + x. Suppose u = -h + 9 - 0. Calculate the greatest common factor of 1 and h.
1
Let z = 26 + -15. Calculate the greatest common divisor of 99 and z.
11
Let k be (2/(-1))/(3/(-240)) - 0. What is the highest common divisor of 64 and k?
32
Suppose 220 = 5*t - 0*t. Suppose 0 = 4*f - q - 21, -3 - 2 = 5*f + 5*q. What is the highest common divisor of t and f?
4
Suppose -29*v = -20*v - 1368. What is the highest common factor of 38 and v?
38
Suppose 2*m + 2*c = 5*m - 34, m = 4*c - 2. What is the greatest common divisor of 98 and m?
14
Suppose 3*l = 5*b - 61, 0*b - 3*b + 23 = 5*l. Let q = b + -8. Let c(m) = 5*m**2 - m - 2. Let s be c(q). What is the highest common divisor of 8 and s?
8
Let x(w) = w**2 + 7*w - 1. Let n be x(-8). Suppose -k = n - 34. What is the greatest common divisor of k and 3?
3
Let u(d) = d**3 + 4*d**2 - 5*d + 3. Let i be u(-5). Let l be 4/2*6/i. Let v be (l/5)/(1/20). What is the highest common factor of 32 and v?
16
Let z be ((-9)/(-6))/((-6)/(-32)). Suppose 0*x = -x - 23. Let q = x - -35. What is the highest common factor of q and z?
4
Let k be ((-144)/(-24))/(-1 - 14/(-8)). What is the highest common divisor of k and 2?
2
Let x(k) be the third derivative of -k**4/24 + 2*k**3/3 + k**2. Let r be x(-7). Suppose -4*q - q + 55 = 0. What is the greatest common divisor of q and r?
11
Suppose -3 = -j, -3*r + 8 = -5*r - 4*j. Let m = 25 + r. Calculate the greatest common divisor of 30 and m.
15
Let m(v) = -3 + 4 + v**3 - 2 + 2 - 4*v**2. Let d be m(5). Let j = -78 + 143. What is the highest common divisor of j and d?
13
Let f(k) = k + 7. Let s be f(10). Suppose -5*o - 7 = -s. Let x be (3 - 1)*(-10)/(-2). Calculate the greatest common factor of o and x.
2
Suppose -8 = 2*w, 3*u + 6*w - 4 = 4*w. Let g(n) = -13*n + 3 + 1 - u. Let x be g(-1). What is the highest common divisor of 65 and x?
13
Suppose 134 = -5*k - 101. Let u = 81 - k. What is the highest common factor of 16 and u?
16
Suppose 0 = -5*v + 3*q + 51, 3*v + 0*q - 39 = -q. Suppose 3*z - 7*z + 93 = f, 2*z = 4*f - 408. Let k = -53 + f. What is the highest common factor of k and v?
12
Suppose 0*y - 5 = -5*y. Let h = 5 - y. Suppose 60 = -3*j + 6*j. What is the highest common factor of j and h?
4
Suppose v + 3*v + 4*x = -20, 4*v = -5*x - 25. Let r = v - -3. Calculate the highest common divisor of r and 33.
3
Let i = -9 + 27. What is the highest common divisor of i and 6?
6
Suppose -7 - 15 = -2*y + 3*z, 5*z = -3*y - 5. Calculate the highest common factor of 2 and y.
1
Let i be (-9)/(-27) + (-28)/(-6). Let c = 8 - -17. Calculate the greatest common factor of i and c.
5
Suppose -17*m = -19*m + 572. What is the greatest common divisor of m and 26?
26
Let g be 6/(-1 + 4)*2. Suppose -f + 45 = g*f. What is the greatest common divisor of f and 99?
9
Let c(i) = i**3 + 10*i**2 + 9*i + 2. Let w be c(-9). Let n be w/5 + (-26)/(-10). Suppose -5*b + 52 = -53. What is the highest common divisor of b and n?
3
Let x be (-1)/((-1)/322) + 6/(-2). What is the highest common divisor of x and 29?
29
Suppose 3*w - 5*g + 3 = 79, 0 = -5*w - 4*g + 176. Let q = w + -21. Let k be (1 - -2)/3*11. Calculate the highest common factor of q and k.
11
Suppose -2*v - x + 18 = 0, 0 = -5*v + 3*v + 4*x + 8. Suppose 4*a - 160 = -a. Calculate the greatest common factor of v and a.
8
Suppose -2*p + 2*v - 6*v + 12 = 0, 0 = -p - 5*v + 3. Let l = 196 - 180. Calculate the highest common divisor of l and p.
8
Let i be 6120/56 + (-4)/14. Let n = i - 64. What is the highest common divisor of n and 30?
15
Let k be (2/(-4))/((-4)/192). Let i = -17 + k. Let l = 146 + -90. Calculate the greatest common divisor of i and l.
7
Let d = 6 + 8. Suppose 5*i = 6*i - d. What is the greatest common factor of 84 and i?
14
Suppose 8 + 13 = 3*w. Let k be 412/60 - (-2)/15. Calculate the highest common factor of w and k.
7
Suppose -99 = -5*b + 16. Let u = b + -51. Let i = u + 43. Calculate the greatest common factor of 10 and i.
5
Suppose -2*j - 18 = -5*j. Suppose 60 = -2*p + j*p. Calculate the highest common factor of 75 and p.
15
Suppose 3*b = -2*p - 6, 4 + 0 = 3*p - 2*b. Suppose p = -3*z + 2 + 43. What is the greatest common factor of 6 and z?
3
Let b = 201 + -198. Suppose -3*i + 2*v = -5*i + 6, 5 = 5*v. Calculate the highest common divisor of i and b.
1
Let x(g) = g**2 - g - 9. Let c = 7 + -15. Let h be x(c). What is the highest common factor of h and 7?
7
Suppose -30 = -3*d - 0*d. Calculate the highest common divisor of 50 and d.
10
Let f be 40/18 + (-2)/9. Suppose 12 + 14 = f*k. Let n be 1/(1/(k - 1)). Calculate the highest common factor of n and 8.
4
Suppose -5*a + 0*j + 3*j + 347 = 0, -a + j = -71. Suppose -2*f - 5*r + 57 = 4, -a = -3*f + 5*r. Let q = 15 - 11. What is the greatest common divisor of q and f?
4
Suppose 6 = g + 2*g. Suppose -97 = -5*k + g*l, 4*k + 6 = -l + 94. What is the greatest common divisor of k and 3?
3
Suppose j = 3*c + 76, 5*j + 2*c = 4*c + 406. Calculate the greatest common divisor of 205 and j.
41
Let v(t) = 11*t - 9. Let l be v(9). Let h = 30 + -12. What is the greatest common factor of h and l?
18
Let a(o) = 12*o**2 + 2*o - 2. Let u be a(-6). Suppose -3*r = 22 - u. Suppose -24*j - 58 = -346. Calculate the greatest common divisor of j and r.
12
Suppose -17 - 19 = -4*o. What is the greatest common factor of 9 and o?
9
Let r = 0 - -5. Suppose -2*o - 5*u = o - 69, 0 = 3*o - r*u - 39. Calculate the greatest common divisor of o and 6.
6
Let g = 70 + -40. What is the greatest common divisor of 330 and g?
30
Let u = -1 + 16. Let x be u/35 + (-274)/(-14). What is the greatest common factor of 30 and x?
10
Let v(x) = 15*x + 4. Let z be v(3). Suppose d - 15 = -2*d. Suppose -d*q - 604 = -5*b - z, -2*b + 219 = -5*q. What is the highest common divisor of 14 and b?
14
Let z = -4 + 8. Let n = -65 + 40. Let i = n - -53. Calculate the highest common divisor of i and z.
4
Let d(q) = 30*q. Let m be d(7). What is the highest common factor of m and 30?
30
Let f be (-3 + -8)/(8/(-6) - -1). Calculate the greatest common factor of 3 and f.
3
Suppose -5*z = 2*n - 35, 3*z + 2*z = 3*n + 10. Suppose 0 = -n*t + 10 + 15. Calculate the highest common divisor of t and 5.
5
Let w be 3*(-3 + 2 - -3). Suppose -9*p - 105 = -w*p. Let s = p + 60. What is the highest common divisor of s and 10?
5
Let k(s) = -1 - s**2 - 3*s + 2*s + 0*s - 6*s**3. Suppose 2*a + 3 = -a. Let h be k(a). What is the highest common divisor of 45 and h?
5
Let m(g) = -g**3 + 7*g**2 - 9*g + 1. Let h be m(4). What is the highest common divisor of 325 and h?
13
Let p(b) = -b**3 - 4*b**2 + 7*b - 8. Let m be p(-6). Let r = -6 + 11. Suppose -x = 4*i - 14, x - 5 - 12 = -r*i. Calculate the highest common factor of x and m.
2
Suppose -n = n - 72. Suppose -4*o + n = u, 0*u = 2*u - 2*o - 22. Let b(c) = -c**2 + 16*c - 61. Let p be b(9). Calculate the greatest common divisor of u and p.
2
Suppose -5*x - 4*j + 304 = 0, -2*x - 2*x + 236 = -4*j. Calculate the highest common divisor of x and 150.
30
Let g(h) = -10*h - 34. Let r be g(-30). Calculate the highest common divisor of 38 and r.
38
Let o be 3/(12/80) - 3. What is the | {
"pile_set_name": "DM Mathematics"
} |
r 3*v**5 + 0*v - 2*v**2 + a*v**3 - 36*v + 18*v**4 - 10*v**3 + 8*v**2 - b.
3*(v - 1)*(v + 1)*(v + 2)**3
Suppose 53 = 5*i + c - 273, -5*i + 318 = 3*c. What is b in 8 - i*b**2 + 147*b**2 - 69*b**2 - 28*b = 0?
1/3, 2
Let c(o) be the second derivative of -o + 5/6*o**7 - 17/4*o**5 + 33 + 8/3*o**6 - 155/6*o**4 - 20*o**2 - 110/3*o**3. What is f in c(f) = 0?
-2, -1, -2/7, 2
Let x(n) be the first derivative of -2*n**5/15 + 241*n**4/15 + 174*n**3/5 + 20*n**2/3 - 392*n/15 + 1363. Determine z so that x(z) = 0.
-1, 2/5, 98
What is z in -2*z**3 - 169165*z + 942*z**2 + 1211*z**2 - 553237*z + 251*z**2 = 0?
0, 601
Let a(k) = k**3 + 18*k**2 - 144*k + 7. Let y be a(6). Factor -9*d**3 - 10 + 50 + y + 132*d**2 + 17 + 288*d + 25*d**3.
4*(d + 4)**2*(4*d + 1)
Let p(d) be the first derivative of d**4 + 15*d**3 + 42 - 48*d**3 + 17*d**3. Let p(g) = 0. Calculate g.
0, 12
Suppose 217*b - 203*b - 2506 = 0. Let k = -536/3 + b. Factor 3 - k*q**3 - 5*q + 7/3*q**2.
-(q - 3)**2*(q - 1)/3
Factor 2/13*f**2 + 170528/13 + 1168/13*f.
2*(f + 292)**2/13
Let o(b) be the second derivative of -170*b - 1/6*b**4 + 0 - 4*b**3 + 0*b**2. What is t in o(t) = 0?
-12, 0
Find j, given that -27075 + 1/4*j**3 + 377/4*j**2 + 8740*j = 0.
-190, 3
What is l in -15*l - 3/4*l**5 + 0 - 93/4*l**2 + 21/4*l**4 - 9/4*l**3 = 0?
-1, 0, 4, 5
Suppose -161*k + 105*k = 118*k - 522. Solve -5/2 + 60*u**5 - 225/4*u**k - 85*u**2 + 110*u**4 - 105/4*u = 0 for u.
-2, -1/3, -1/4, 1
Let s be 11 + 4 - (6424/(-140) - 32/(-112)). Factor s*w - 3*w**2 - 12.
-3*(w - 20)*(5*w - 1)/5
Let o(t) be the first derivative of -2*t**3/9 + 4292*t**2/3 - 9210632*t/3 - 389. Let o(d) = 0. What is d?
2146
Let q = -206 + 236. Factor q*k**4 - 11*k**4 + 52*k**3 - 11*k**4 + 9*k + 41*k - 145*k**2 - 13*k**4.
-k*(k - 5)**2*(5*k - 2)
Let -1/5*v**2 + 656/5*v + 0 = 0. What is v?
0, 656
Let x(q) be the first derivative of 0*q - 22 + 4/3*q**3 - 3*q**2 + 1/2*q**4. Factor x(r).
2*r*(r - 1)*(r + 3)
Factor 0*t + 213/2*t**4 + 0 + 438*t**2 + 435*t**3 - 3/4*t**5.
-3*t**2*(t - 146)*(t + 2)**2/4
Let o be (-48)/(-21) + (-230 + 232)*(-1)/7. Factor 8/3*a**3 + 2/15*a**4 + 0 + 24/5*a**o + 0*a.
2*a**2*(a + 2)*(a + 18)/15
Suppose -295*d - 26*d**3 + 313 - 93 - 119*d**2 - 133*d**2 + 332*d**2 + 21*d**3 = 0. Calculate d.
1, 4, 11
Determine y so that -14/5*y**3 + 0 + 2/15*y**4 - 6*y**2 - 46/15*y = 0.
-1, 0, 23
Let w(m) = -7*m**4 - 17*m**3 - 53*m**2 - 27*m - 12. Let g(u) = 13*u**4 + 35*u**3 + 104*u**2 + 54*u + 21. Let j(a) = 4*g(a) + 7*w(a). Solve j(k) = 0 for k.
-3, -1, 0
Factor 311*y**2 - 159*y**2 - 60*y + 16*y + 350*y - 154*y**2.
-2*y*(y - 153)
Suppose -144 = -h - 144. Suppose 0 = -h*q - 3*q + 39. Find y such that 32*y**2 - 33*y**2 - 24*y + q - 66 - 91 = 0.
-12
Suppose 3*n - 5*m = -19, 57 - 49 - 33 = -5*m. Factor 4/3*v + 7 - 1/3*v**n.
-(v - 7)*(v + 3)/3
Let z(j) be the second derivative of -3*j**5/20 + 67*j**4/4 - 32*j**3 - 198*j**2 + 1583*j. Let z(r) = 0. Calculate r.
-1, 2, 66
Let s = -193 - -227. Suppose 7*w - 24*w + s = 0. Factor 15/2 + 3/2*f**w - 9*f.
3*(f - 5)*(f - 1)/2
Let q(a) be the second derivative of -8*a - 1/7*a**7 - 7 + 100/3*a**3 - 26/15*a**6 + 0*a**2 - 31/10*a**5 + 70/3*a**4. Solve q(f) = 0 for f.
-5, -2/3, 0, 2
Let s(m) be the third derivative of m**7/945 + 23*m**6/540 - 4*m**5/45 - 1117*m**2. Find n, given that s(n) = 0.
-24, 0, 1
Solve -116*i**4 - 13276*i**2 + 80*i**4 + 1899*i - 1786*i**3 - 9511*i - 1200 + 538*i**3 - 2484*i**3 = 0.
-100, -3, -1/3
Let c(j) be the second derivative of -5*j**2 + 125/6*j**3 - 115/12*j**4 + 62*j + 0. Factor c(k).
-5*(k - 1)*(23*k - 2)
Let u(j) = 68*j**3 + 80*j**2 + 1236*j + 1152. Let f(w) = -2*w**3 - w**2 - w. Let g(n) = 36*f(n) + u(n). Factor g(y).
-4*(y - 24)*(y + 1)*(y + 12)
Factor -7*j + 53/2*j**2 + 0.
j*(53*j - 14)/2
Let b be ((-3)/(-2))/((-9)/(-18)). Suppose -b*k + 9 = -15. Factor 5*i**4 - 3*i**4 - k*i**2 - 8*i**3 + 4*i**2 - 6*i**4.
-4*i**2*(i + 1)**2
Let o = 108 - 113. Let y be -5*2*(-3)/((-5)/o). Determine l, given that 589*l**2 - 40*l - 70 - 593*l**2 - y = 0.
-5
Let g(o) be the first derivative of -2*o**3/3 + 231*o**2 - 460*o + 4111. Find w such that g(w) = 0.
1, 230
Let f(x) be the third derivative of x**6/30 + x**5/3 + x**4/3 - 16*x**3/3 + 1862*x**2. Factor f(j).
4*(j - 1)*(j + 2)*(j + 4)
Let l be ((-7)/((-252)/(-15)))/(1*(-8 - -3)). Let x(y) be the third derivative of -1/30*y**5 + 2*y**3 + 0*y + l*y**4 - 29*y**2 + 0. Let x(v) = 0. What is v?
-2, 3
Let d(s) be the first derivative of -2*s**3/21 - 127*s**2/7 + 228*s - 5298. Factor d(c).
-2*(c - 6)*(c + 133)/7
Solve 250*w**2 + 4*w**3 + 236*w**2 + 24*w**2 + 952 - 2224*w + 34*w**2 + 1288 = 0 for w.
-140, 2
Let o = -5 - -9. Let h be (-9)/18 + (-2 - 13/(-2)). Factor -1 + h + c**2 - o + 0.
(c - 1)*(c + 1)
Suppose -4*k + 32*w - 36*w + 2272 = 0, -k - 4*w + 571 = 0. Suppose 8 - 243*i**4 + k*i**3 + 450*i**2 + 316/3*i = 0. What is i?
-2/9, 3
Determine f so that 48/5*f**3 + 0*f + 216/5*f**2 + 3/5*f**4 - 1296/5 = 0.
-6, 2
Let w(u) = -5*u**4 + 67*u**3 + 152*u**2 - 130*u - 7. Let s(m) = 3*m**4 - 45*m**3 - 104*m**2 + 86*m + 5. Let o(j) = 7*s(j) + 5*w(j). Let o(t) = 0. What is t?
-2, 0, 1, 6
Let v(p) be the third derivative of 3 - 5/6*p**3 - 1/60*p**5 + 1/4*p**4 + 0*p - 7*p**2. Factor v(f).
-(f - 5)*(f - 1)
Factor 26*n - 2/11*n**2 - 284/11.
-2*(n - 142)*(n - 1)/11
Let t(s) be the third derivative of -s**7/630 + s**6/24 + 73*s**5/180 + 19*s**4/24 + 30*s**2 - s + 19. Solve t(m) = 0.
-3, -1, 0, 19
Let s(g) be the second derivative of -g**5/110 + 35*g**4/66 + 98*g**3/11 - 144*g. Solve s(b) = 0 for b.
-7, 0, 42
Let r(z) = -26*z**2 + 15*z**2 - 3*z + z + 34 - 4*z**2 + z**3. Let o be r(15). Factor -2*k**2 + 0*k**2 - 4*k + o*k**3 + 4 - 2*k**2.
4*(k - 1)**2*(k + 1)
Suppose -2*z + 2*g = -3*g - 2, 0 = -4*z + 2*g + 20. Suppose 5*o = -5*u + 30, u + 4*u - o = z. Factor -1 + 5 + 4*m - 4*m - 4*m**u.
-4*(m - 1)*(m + 1)
Let k(i) be the second derivative of -i**5/90 + 5*i**4/18 + 8*i**3/3 + 76*i**2/9 - 9*i + 22. Factor k(l).
-2*(l - 19)*(l + 2)**2/9
Suppose 0 = g + 8, -1867*g = -2*o - 1869*g - 12. Factor 217/6*a**3 - 4 + 94/3*a - 215/3*a**o + 49/6*a**4.
(a - 1)*(a + 6)*(7*a - 2)**2/6
Let r(z) = -6*z**2 - 6812*z - 5814054. Let d(n) = 11*n**2 + 13626*n + 11628107. Let v(c) = 4*d(c) + 7*r(c). Factor v(g).
2*(g + 1705)**2
Let d(x) = -8*x**3 + 3794*x**2 - 7619*x + 3822. Let i(w) = -12*w**3 + 5692*w**2 - 11428*w + 5732. Let n(p) = 16*d(p) - 11*i(p). Factor n(v).
4*(v - 475)*(v - 1)**2
Suppose -o + 4*o - 15 = 0. Solve 18 - 3*z**o - 24*z**2 + 18*z**3 - 15*z - 3*z**4 + 0*z**5 + 9*z**4 = 0 for z.
-2, -1, 1, 3
Let z(k) = -8*k**2 + 11502*k - 11438. Let m(u) = 10*u**2 - 11501*u + 11407. Let q(l) = 2*m(l) + 3*z(l). Factor q(f).
-4*(f - 2875)*(f - 1)
Let g(l) be the third derivative of -2*l**2 + 5/24*l**6 + 0*l - 5/3*l**4 + 5 + 1/12*l**5 - 1/42*l**7 + 10/3*l**3 - 5/336*l**8. Determine h so that g(h) = 0.
-2, 1
Let r(d) be the first derivative of 25*d**3 + 65*d + 5/4*d**4 + 135/2*d**2 - 53. Factor r(y).
5*(y + 1)**2*(y + 13)
Let r(h) be the second derivative of -h**4/6 - 760*h**3/3 - 144400*h**2 - 1337*h. What is g in r(g) = 0?
-380
Let o = -222/17941 + 288166/89705. Factor o*u**3 + 0*u + 2/5*u**4 + 24/5*u**2 + 0.
2*u**2*(u + 2)*(u + 6)/5
Suppose -3*i - 64 = 5*i. Let j(k) = k**2 + 5*k - 22. Let b be j(i). Let 4*a**2 + a**b - a + 13*a + 8*a + 15 = 0. What is a?
-3, -1
Let g(h) be the first derivative of -9 + 4/7*h - 4*h**2 + 80/7*h**3 - 100/7*h**5 - 50/7*h**4. Factor g(f).
-4*(f + 1)*(5*f - 1)**3/7
Find s, given that 128/7*s**2 + 290322/7 - 12192/7*s = 0.
381/8
Suppose 3586*l - 3591*l + 60 = -o, 13 = l. Suppose -425/4*v**2 - 1325/4*v**3 - 45 + 210*v + 170*v**4 + 140*v**o = 0. Calculate v.
-2, -1, 2/7, 3/4
Let x(d) be the second derivative of -d**5/150 + 19*d**4/30 + 13*d**3/5 + 135*d**2 + 50*d + 2. Let a(z) be the first derivative of x(z). Solve a(n) = 0 for n.
-1, 39
Let k be (2/20*-4)/(1/(-5)). Suppose k*d = 5*f - d - 6, -d - 12 = -5*f. Determine j, given that -j**3 - j**4 + j**f - 2*j**3 + 4*j**3 = 0.
0, 2
Suppose -302 = 226*g - 1113 - 319. Let i be ((-48)/(-15))/((-2)/(-10)). Factor 4*x**g + i*x**4 - 8*x**3 - 10*x**5 - 26*x + 26*x.
-2*x**3*(x - 2)*(3*x - 2)
Let p(f) be the second derivative of -f**7/21 + f**6/6 + 19*f**5/10 - 38*f**4/3 + 26*f**3 - 45*f**2/2 + 12*f - 189. Solve p(q) = 0 for q.
-5, 1/2, 1, 3
Let r | {
"pile_set_name": "DM Mathematics"
} |
-0.03068 + -0.04932. Let w = 3.96 - -0.04. What is the second smallest value in 2, p, w?
2
Let m = -3.04 - -0.04. Let o = 5871.1 + -5871. Which is the biggest value? (a) o (b) 4 (c) m
b
Suppose 14*t + 6*t + 91*t = -333. Let z be 1/2*4 - 3. Let p = z - 0. What is the third smallest value in t, -5, p?
p
Let s be 2/((-30)/(-16) - 1715/490). What is the biggest value in 0, s, -10, -1/4, -1?
0
Let o(z) = 2*z**3 - 58*z**2 + 336*z + 2. Let k be o(21). What is the smallest value in 0, 0.36, k, 1?
0
Let s = 97.74 - 92.74. Let n = 2 + -3. What is the smallest value in n, 0.2, s?
n
Suppose 5*g + 1419 = -a + 461, 0 = -5*g - 4*a - 952. Let s = g - -188. What is the third biggest value in s, -0.3, 5?
s
Let o be (-2)/5*1/(-2). Suppose -4*m + 3*m + 12 = -x, -4*x - 32 = -2*m. Let r be m/28 - (-2)/7. Which is the biggest value? (a) -1 (b) 5 (c) r (d) o
b
Let h = 2552 - 2547. Let i be ((-6)/(-15))/2 + 1/(-30). Which is the biggest value? (a) i (b) h (c) 4/3 (d) -0.5
b
Let g = -27 + 18. Let o = -11 - g. Suppose 2*u = 4*y - 16, -45*u + 55*u + 5*y = -30. What is the third biggest value in o, 0.08, u?
u
Let o = 5274 - 5271. What is the biggest value in o, 2, -1, -7?
o
Suppose -3*b - 2*o - 7652 = -1871, 4*b + 7694 = 2*o. Let k be 7496/b - -3 - -1. Let y = k - 2/77. What is the second smallest value in 0, -4, y?
0
Let r = -4.0868 + 5.0868. Let z = -0.17 + 0.2. Which is the second biggest value? (a) z (b) -1 (c) r (d) 2
c
Let q = 1869.8 - 1870. What is the fourth biggest value in 2, -3, q, 134?
-3
Let y = -348 - -349. Suppose -5 = 2*b - 3*b. Suppose 0 = -3*l + b*l + 6. What is the third smallest value in l, y, 2/3?
y
Let q = 9.173 - 17.173. What is the biggest value in 4/5, q, 3, 48/5?
48/5
Suppose -2*w - 6*r - 14 = -4*r, -5*r = 25. Let v be -3 + (-1132)/(-416) + w/(-13). Which is the smallest value? (a) -1/3 (b) 2.5 (c) 0.3 (d) v
a
Let w = 4.11085 - 0.11085. What is the second biggest value in -52, 0.2, w, -0.3?
0.2
Let v = -0.02 + -0.01. Let o = 4.03 + v. Let p = 0.0922935 + 0.2077065. What is the second smallest value in p, 0.2, o?
p
Let r = -35.9 - -36.8. What is the third smallest value in -4/7, 5, 13, r?
5
Let r = -1978/11 - -180. Let i be 1/(1/6 + (-130)/(-60)). Let z = 0.09 - 0.09. Which is the second biggest value? (a) i (b) r (c) z
b
Let a be (-4)/48 + 0 + 656/3264. Let v = 228 + -230. What is the biggest value in v, a, 2/43?
a
Let u = -6.8591 - -4.8591. Let q be (-2)/(-6) + 16/(-6). Which is the third smallest value? (a) -0.4 (b) q (c) u
a
Let z = -87 + 180. Suppose 4*d + z = 45. What is the third smallest value in d, -2/13, -4?
-2/13
Let a = -540.25 - -543. Let z = -5.75 + a. What is the third biggest value in 0.39, -0.5, z, -1/5?
-0.5
Let l = -1564/7 - -4699/21. What is the fifth smallest value in -0.2, 0.4, l, 0.03, -0.1?
0.4
Let q be (6/(-4)*(-2)/(-5))/(3399/(-2266)). Which is the third smallest value? (a) q (b) -0.2 (c) 21
c
Let p be ((-160)/800)/(51/90). What is the second smallest value in 19, 17, p?
17
Suppose -3*q = -9*q - 12. Let g be (-3)/q*(-36)/(-9). Suppose 2*h + 4 = -g. What is the smallest value in h, 5, 4?
h
Suppose -g - 19 = -2*x - 25, -x - 17 = -4*g. What is the smallest value in 3, g, 13/31?
13/31
Let s = 1257 + -1129.2. Let g = s + -128. What is the third smallest value in 3, g, -2/13, -21?
-2/13
Let b = 6 + -10. Let m(v) be the first derivative of 2*v**2 - 57*v - 6. Let z be m(16). What is the third smallest value in z, 5, b, 3?
5
Let k = 33 - 37.7. Let s = k - -0.7. Let l be (16/44 + (-24)/44)*-1. Which is the second biggest value? (a) s (b) l (c) 4
b
Let m = 66 + 407. Let j = m - 478. Suppose 0 = -3*y + 3*f + 6, -4*y + 22 = -y + f. Which is the third smallest value? (a) j (b) -0.6 (c) y
c
Let k = -950 - -1015. Let p = 6.2 + 51.8. Let n = k - p. Which is the second smallest value? (a) n (b) 1/3 (c) 2/3
c
Let y = 5413 - 5417. Let c = 2.4 - -0.6. Let u = 18.8 + 0.2. What is the smallest value in c, y, u?
y
Let t = 176 - 298. Let i = -122.06 - t. What is the fourth biggest value in -2/5, i, 1/4, 7?
-2/5
Let z = 6.865 - 3.865. What is the second biggest value in z, 387/5, -3, -0.1?
z
Let g = -5234.6 + 5235. What is the smallest value in -2, g, -4, -0.06, 1/2?
-4
Let s be (216/3240)/((4/6)/(10/12)). What is the fourth biggest value in -4, 3, -2, s, -0.5?
-2
Let p be 19 + 16 + -24 + (-46)/4. What is the smallest value in p, 0.04, -7.4?
-7.4
Let v = -2919.9 + 2920. Which is the fifth smallest value? (a) 4 (b) 2/7 (c) -0.2 (d) 27.8 (e) v
d
Let o be 8*(4/(-22 + 6)*10)/5. What is the smallest value in o, -112, -1, 2?
-112
Let u = -1290 + 1290. Which is the smallest value? (a) 13 (b) u (c) -5/12
c
Let o = 2271 + -2271. What is the smallest value in -3, -3.1, o, 2?
-3.1
Let x = -50.7 - -50.7073. Let l = x - -2.9927. Which is the fourth smallest value? (a) l (b) -4 (c) -0.1 (d) -0.3
a
Let d = 1.8 + -2. Let w = -328738 + 328728. What is the third smallest value in w, -0.5, d?
d
Let h = 43.047 - 0.047. Let o = -42.1 + -0.6. Let l = h + o. Which is the third smallest value? (a) -4 (b) l (c) -0.9
b
Let p = 12241 - 12251. Let k = -4 - -6. Let t be 4/(-18) - 14/18. Which is the second biggest value? (a) t (b) p (c) k
a
Let r = -135 - -89.6. Let f = -40.4 - r. Which is the fourth biggest value? (a) 0.5 (b) -35 (c) 3/5 (d) f
b
Let t = -21/2 + 65/6. Let w = 3292 - 3297. Which is the third smallest value? (a) t (b) w (c) 0.094
a
Let r = -283 + 474. Let h = 191.91 - r. Let z = h + -0.61. What is the fourth smallest value in -1, -0.4, z, 4/3?
4/3
Let m = 2.376 - -1.624. Which is the third smallest value? (a) m (b) 0.5 (c) 3/2
a
Let m = -344 - -369.4. Let k = m + -25.1. What is the third biggest value in -2, k, -12?
-12
Let z(s) = s**3 - 5*s**2 - 7*s - 5. Let j be z(6). Let f be -1 + (j/(-5) - 2). Let l = 27337 - 27334. What is the fourth biggest value in -2/3, l, 2/9, f?
f
Let i = 9920/54197 - 6/4927. Let u be 2*((-14)/(-4) - 2). Which is the second smallest value? (a) u (b) -107 (c) i
c
Let b = 1.767 + -1.697. Let m be (-10942)/330 - 54/90. Let d = -101/3 - m. What is the second biggest value in 0.5, d, 0.2, b?
0.2
Let q be (-2014)/1484 - (-2 - (-30)/14). Which is the fourth smallest value? (a) 0.2 (b) q (c) 0.462 (d) 2
d
Let g = -0.335 + -186.665. Let n = g + 186.6. What is the third biggest value in -1/10, n, 5, 1?
-1/10
Let h = 6553 - 6560. What is the third smallest value in h, 3, 26?
26
Let j = 2.5 + -2. Let h = 217 - 215.79. Let g = 1.21 - h. Which is the second smallest value? (a) g (b) j (c) 0.4
c
Let q be 2 + (-20)/15 - 16/(-12). Suppose -q*d = 4*v - 2, 5*d + 0 + 13 = -4*v. What is the second biggest value in 9, v, 1?
v
Let i(r) = -r**2 - 5*r - 1. Let m be i(-5). Let t be (-9)/(-27)*0/(2 - 6). Which is the smallest value? (a) 0.3 (b) m (c) t (d) 2
b
Let j(z) = 301*z + 901. Let l be j(-3). What is the second biggest value in 4, l, -8?
l
Let i = 81.887 - -0.113. Let z = 78.921 - i. Let o = 0.079 + z. Which is the second biggest value? (a) 2 (b) o (c) 0.2 (d) 2/23
c
Let r = 10324 - 10318. Which is the biggest value? (a) 1 (b) 7.4 (c) r
b
Let d = 2691.5 + -2691.6. What is the second smallest value in -408, 0.04, d, 5?
d
Let g = -10222.83 - -10225. What is the second smallest value in 2/9, g, -2/3?
2/9
Let o = -247709/9 - -27523. What is the second smallest value in 0.053, 4, o, 10?
0.053
Suppose -3*i = 2*y - 75, -54 = -2*y + 3*i + 27. Let m be y + (-4)/(-8)*0. Let b be m/(-4) - 5/120*6. What is the second biggest value in -3, -1, b, 0.4?
-1
Let k = -92 + 46.1. Let l = 46 + k. Let x = l - 0.3. Which is the second smallest value? (a) x (b) -2/31 (c) -0.3 (d) 2/7
a
Let g be ((-183)/1071)/((-2)/3). Let o = -1146 - -38963/34. Let w = g - o. Which is the third biggest value? (a) w (b) -5 (c) -1/6
b
Suppose -12*p = -5*p + 11305. Let k be (-2)/(-51)*3 + (-1102)/p. What is the third biggest value in k, 0.2, -0.4?
-0.4
Let v = -104 + 99. Let q = -47.3 - -50. Let u = -22.7 + q. Which is the biggest value? (a) v (b) u (c) 2/11
c
Let g be (57/15 + 1)*5. Let u(t) = -t**3 + 26*t**2 - 51*t - 28. Let i be u(g). Let o = 399/4 + i. Which is the biggest value? (a) -48 (b) o (c) 0.1
c
Let j = -56 + 55.6. Let u = -61 + 63. Let s be 1/(-2 + u + 0 + -1). What is the second b | {
"pile_set_name": "DM Mathematics"
} |
ue
Is 11307905299 prime?
True
Is 43617309053 a composite number?
False
Is 2705279827 a prime number?
False
Is 341393491 prime?
True
Is 4130335939 composite?
True
Is 288517429 a prime number?
True
Is 65799814571 a prime number?
True
Is 15930063113 a prime number?
True
Is 40314621433 prime?
True
Is 4806886727 a prime number?
False
Is 2089297709 a prime number?
True
Is 2568084661 composite?
True
Is 68588873239 a composite number?
True
Is 98583427847 composite?
False
Is 236346151 a composite number?
True
Is 18369444931 a prime number?
True
Is 4472294401 prime?
False
Is 9443943755 composite?
True
Is 210182867 composite?
False
Is 1219857791 composite?
True
Is 390235907 a prime number?
False
Is 68450150147 a prime number?
False
Is 1472241689 prime?
False
Is 331828789 a prime number?
False
Is 183365467 a composite number?
False
Is 431144443 a prime number?
False
Is 6687308477 composite?
True
Is 8582353517 a prime number?
True
Is 7787245441 a composite number?
True
Is 168907752473 a prime number?
False
Is 122143213 prime?
True
Is 73632350251 composite?
False
Is 3195054827 prime?
True
Is 5734657 a composite number?
True
Is 4548478607 composite?
False
Is 263122543 composite?
True
Is 14950929229 composite?
True
Is 3362168573 composite?
False
Is 371336379 prime?
False
Is 902538479 prime?
True
Is 20748025163 prime?
True
Is 7700271077 prime?
True
Is 412203269 a composite number?
True
Is 5851058867 a composite number?
False
Is 152621297 a prime number?
True
Is 21897957931 a composite number?
True
Is 1804939597 a composite number?
True
Is 22407299449 a prime number?
False
Is 12565965257 prime?
True
Is 178728168439 composite?
True
Is 19005295919 a prime number?
False
Is 70314049 a composite number?
True
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False
Is 294314323 a composite number?
False
Is 1323038879 a prime number?
True
Is 42509813491 a composite number?
False
Is 1982696137 a prime number?
True
Is 10125287 composite?
False
Is 4674064523 a composite number?
False
Is 1541231513 a composite number?
False
Is 3519991871 a prime number?
False
Is 4574840569 a prime number?
False
Is 6557837971 a prime number?
False
Is 13014597397 a prime number?
True
Is 6954276643 a composite number?
True
Is 11107394711 a prime number?
False
Is 5325976457 composite?
False
Is 754874333 a composite number?
True
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True
Is 407711966 prime?
False
Is 201310789 composite?
True
Is 7823349299 a composite number?
True
Is 51146610263 a composite number?
True
Is 47036885029 a composite number?
False
Is 11461671239 a composite number?
True
Is 279100453 composite?
False
Is 817573277 a composite number?
False
Is 133062907 a prime number?
True
Is 646480129 a composite number?
False
Is 8133005239 a prime number?
True
Is 158509831 a composite number?
True
Is 26726225107 a composite number?
False
Is 119144581 a composite number?
True
Is 21882894727 a composite number?
False
Is 1197467377 composite?
True
Is 84816300993 a composite number?
True
Is 15228095713 composite?
False
Is 14708644253 prime?
True
Is 4962334541 a composite number?
False
Is 1332653207 a prime number?
True
Is 1189617161 composite?
False
Is 7337657539 a composite number?
True
Is 109050931 prime?
False
Is 5884638421 a composite number?
True
Is 20000651159 prime?
True
Is 10016722649 composite?
True
Is 692369833 a prime number?
True
Is 231806993 composite?
True
Is 481146473 a prime number?
False
Is 3139066829 prime?
True
Is 5406140767 a prime number?
True
Is 53199321959 prime?
False
Is 1827049957 a prime number?
False
Is 24832308841 prime?
False
Is 869828423 a prime number?
False
Is 53589257 composite?
False
Is 4093855231 a composite number?
True
Is 742538813 a prime number?
False
Is 2023019137 a prime number?
True
Is 20256042143 a composite number?
True
Is 37057045427 a composite number?
False
Is 1835807933 composite?
False
Is 7630033231 prime?
False
Is 18091642237 prime?
False
Is 79748579831 a prime number?
False
Is 2589297673 a prime number?
True
Is 3747279059 prime?
True
Is 407280857 prime?
False
Is 3520586843 prime?
True
Is 128370877 a composite number?
True
Is 902388559 prime?
True
Is 2157482681 prime?
True
Is 50561288321 prime?
False
Is 40936270819 composite?
False
Is 7936823023 a composite number?
False
Is 1474757897 a prime number?
True
Is 709145509 a prime number?
False
Is 4199688281 prime?
True
Is 27378073001 a prime number?
True
Is 25599131969 a composite number?
True
Is 7165510063 composite?
False
Is 57745013 a prime number?
True
Is 33820926731 a prime number?
False
Is 1450819511 prime?
False
Is 117174457 prime?
False
Is 1020672659 a composite number?
False
Is 45844315657 prime?
False
Is 11132126851 a composite number?
True
Is 2668164071 a prime number?
False
Is 574697771 a prime number?
True
Is 96614891 a prime number?
False
Is 14975461507 a composite number?
False
Is 6401827 prime?
True
Is 11594836133 a composite number?
True
Is 1253643109 composite?
True
Is 30592770149 a prime number?
True
Is 31441338539 a prime number?
False
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True
Is 564377507939 a prime number?
False
Is 12387878441 a prime number?
True
Is 1084470157 a composite number?
False
Is 72778373905 a composite number?
True
Is 1076356243 prime?
False
Is 6188204201 composite?
False
Is 7265385437 a composite number?
False
Is 144337289 composite?
True
Is 563865461 composite?
False
Is 3964037923 composite?
False
Is 2418222381 composite?
True
Is 4440814727 prime?
False
Is 2098916503 prime?
False
Is 5742125621 a prime number?
True
Is 1264917083 composite?
False
Is 156039170717 a prime number?
False
Is 1577307007 composite?
True
Is 60773939 a prime number?
True
Is 3526272043 a prime number?
False
Is 41171316413 prime?
True
Is 298092914215 a composite number?
True
Is 6387092629 a prime number?
False
Is 110875869743 prime?
True
Is 4114582393 a composite number?
False
Is 5190307231 a composite number?
True
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False
Is 38292300547 a prime number?
False
Is 201671624351 composite?
False
Is 704209361 a composite number?
True
Is 2642021281 prime?
True
Is 1693603187 prime?
True
Is 27066632927 a prime number?
False
Is 254753327 composite?
True
Is 115951701017 prime?
False
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False
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False
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False
Is 32847179173 a composite number?
True
Is 10333140539 a composite number?
True
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False
Is 62275957 composite?
True
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False
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False
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True
Is 1152898013 a composite number?
False
Is 2062466311 a composite number?
True
Is 49941352057 a prime number?
True
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False
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False
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False
Is 2688023251 a prime number?
True
Is 14306681867 a prime number?
False
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False
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True
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False
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False
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True
Is 35452836751 a composite number?
True
Is 28562257523 composite?
False
Is 98789631649 a composite number?
False
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True
Is 1889490997 composite?
False
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True
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False
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False
Is 48582526769 a composite number?
True
Is 404669867 prime?
False
Is 2243940187 a prime number?
True
Is 51462460703 composite?
True
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True
Is 2094226817 composite?
False
Is 58588237001 a composite number?
True
Is 4229441542 prime?
False
Is 334346339 a composite number?
True
Is 12402262441 a prime number?
True
Is 1336463589 prime?
False
Is 3259381903 prime?
True
Is 9335514217 composite?
False
Is 9762028399 prime?
False
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False
Is 441197699 prime?
False
Is 3134638099 a composite number?
True
Is 25049544839 composite?
True
Is 1028102167 a composite number?
False
Is 7027081093 composite?
True
Is 758489099 prime?
False
Is 3732521693 prime?
False
Is 237790547 composite?
False
Is 6824524073 a prime number?
True
Is 95004703 a composite number?
True
Is 23137469867 composite?
False
Is 24257357573 composite?
False
Is 1159110487 a prime number?
False
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False
Is 1583222717 a prime number?
False
Is 113560171 composite?
True
Is 15318137069 prime?
Fal | {
"pile_set_name": "DM Mathematics"
} |
786/199429 or 1?
1786/199429
Which is bigger: 0 or -2/4253027951?
0
Which is smaller: -1868976 or -1868987?
-1868987
Which is smaller: 32006631 or 32006629?
32006629
Are -419407200 and -419407200 equal?
True
Which is smaller: 0 or -1722/250897?
-1722/250897
Which is greater: 550267186 or 1650801560/3?
1650801560/3
Which is smaller: 12841.49 or -2?
-2
Are 3653 and 3000 unequal?
True
Do 22 and 37497.5 have the same value?
False
Is 46914 != -120.3?
True
Is -49320723 greater than -1/2?
False
Which is smaller: -8528815 or -51172885/6?
-8528815
Which is greater: 1 or 3/5908441?
1
Which is bigger: 1396616543 or -1?
1396616543
Is -74883 < -74914?
False
Which is greater: 71/6224 or 0?
71/6224
Is -1142206720/3 >= -380735572?
False
Is 1 > -174/3937025?
True
Which is bigger: -1532619 or -1532485?
-1532485
Which is smaller: -20 or 0.96073?
-20
Is -1 != 1/2333460?
True
Which is greater: 109742305 or 109742308?
109742308
Is -117/1162907 not equal to -1?
True
Is -2054932 at most -5?
True
Is -45667 at most -45720?
False
Is 190269 smaller than 190262?
False
Do 2.06453 and 29/10 have different values?
True
Which is bigger: 0 or 2164/11691?
2164/11691
Which is smaller: 70/180903 or 0?
0
Are -18782 and -18781 non-equal?
True
Which is greater: 130836927 or 130836929?
130836929
Which is greater: -1429 or -1072840/751?
-1072840/751
Which is smaller: 411538 or -3?
-3
Is -417 greater than -128467/308?
True
Is 2/3 != -1166353?
True
Is 12910/2153 bigger than 5?
True
Which is smaller: 285557 or 284349?
284349
Is 2/604858447 >= 1?
False
Is 1/5 <= 515372/267?
True
Which is greater: 0 or -2/693232387?
0
Which is bigger: 802/5 or 281/7?
802/5
Which is bigger: -187196 or -187202?
-187196
Which is bigger: -3389/5590 or -2?
-3389/5590
Which is smaller: -223 or -253835/1141?
-223
Which is smaller: 12000 or -7640?
-7640
Is 25004/5 > -155?
True
Which is smaller: -1/994138 or 0?
-1/994138
Which is smaller: -18/11878427 or -1?
-1
Which is bigger: -20/188730193 or 0?
0
Are 1230818 and 16000644/13 non-equal?
True
Which is bigger: -139444 or 317?
317
Is -14774 != -2/2573?
True
Are -237 and 14/3723 nonequal?
True
Do 5322973 and 5322973 have the same value?
True
Which is greater: 5.93 or -150.5684?
5.93
Is -1179516825 at least -1179516824?
False
Which is smaller: -1269919 or -1269904?
-1269919
Which is bigger: -29/44 or -222/205?
-29/44
Is 354644696/3 at least as big as 118214898?
True
Which is bigger: -254 or -439726/1725?
-254
Which is greater: 14184 or 14270?
14270
Which is smaller: -58773 or -32?
-58773
Is 69143 greater than 2627445/38?
False
Is -2 < -2788764?
False
Which is smaller: -1/246231830 or 0?
-1/246231830
Is 646252 smaller than 646257?
True
Which is greater: -84 or -569182?
-84
Which is bigger: 60 or 110945?
110945
Is -2195551 < -2195600?
False
Is -216345 equal to -216294?
False
Is 294 at most as big as 68770/233?
True
Which is greater: -1360373 or -1360378?
-1360373
Is 542/56451 equal to 1?
False
Which is greater: -223035 or 3205?
3205
Which is bigger: 0 or -2212/1385435?
0
Is -4322080/11 greater than or equal to -392915?
False
Which is greater: -4/3061 or -19/49?
-4/3061
Is 231544 greater than 231515?
True
Is 104313163 at least as big as 104313163?
True
Which is bigger: -1/19 or 0.16213512?
0.16213512
Which is smaller: -22751714 or -22751712?
-22751714
Do 31/1577805 and 1 have different values?
True
Is -4116 equal to 160247?
False
Is -1357043/2 less than or equal to -1?
True
Is -933195/52 bigger than -17946?
False
Which is bigger: -29322/833 or -2?
-2
Is 1/1782404510 greater than -1?
True
Which is greater: -2149/5122 or 1?
1
Which is bigger: -2444.739 or -0.13?
-0.13
Which is smaller: 561 or -150581?
-150581
Is -12793786 less than or equal to -12793784?
True
Is -18/482046817 at most as big as 0?
True
Is 11141787 less than 11141785?
False
Is 356660639/2 != 178330321?
True
Is -123839 > -128857?
True
Is 283.38 smaller than -1334?
False
Is 2/5511 less than 5/24438?
False
Which is greater: -18543/14615 or -2?
-18543/14615
Does 0 = -5/25538484?
False
Which is smaller: 123691716 or 123691713?
123691713
Do -15069 and -16895 have the same value?
False
Is -57344 less than -57361?
False
Which is smaller: -27978/215 or -129?
-27978/215
Is 0 less than 1475/171648?
True
Which is greater: 1 or 3226/557709?
1
Which is bigger: -251509 or 0.0531?
0.0531
Is 28154191 < 28154191?
False
Is -68/961 <= 120.7?
True
Which is bigger: 194/1697 or 36?
36
Are -2/58281317 and 0 unequal?
True
Is 71957 <= 1870861/26?
False
Is 51013 <= 50625?
False
Which is greater: 14790/23 or 477?
14790/23
Which is smaller: -1 or -678/5056705?
-1
Is -396675735 bigger than -396675735?
False
Is -1695288 less than or equal to -1695286?
True
Which is greater: 2/5 or 268603.75?
268603.75
Is 691223128/5 greater than or equal to 138244625?
True
Are -411658599 and -411658600 equal?
False
Which is smaller: -290.7759 or -1/6?
-290.7759
Is -94356173 at most as big as -94356169?
True
Which is greater: 259098/43 or -0.1?
259098/43
Which is smaller: 346058 or 2768471/8?
346058
Is 75 smaller than -416068?
False
Which is greater: 0 or 604/18813?
604/18813
Which is smaller: 8054892 or 88603813/11?
8054892
Which is bigger: -1161618 or -1161617?
-1161617
Is 0 >= 252/1687303?
False
Which is smaller: -30135 or 701/28?
-30135
Are -1087628 and -3/4 equal?
False
Which is smaller: 76229275 or 76229277?
76229275
Is 1 at most 58818/28169?
True
Which is bigger: -2 or -7300/13657?
-7300/13657
Is 23/9127 at most as big as -2/33?
False
Is -5/9721713 not equal to 1?
True
Which is bigger: -270.709 or 13?
13
Which is smaller: 28264063 or 28264062?
28264062
Which is bigger: 2/131333257 or 0?
2/131333257
Which is smaller: 4170/382651 or 1?
4170/382651
Is -1678 bigger than -1384?
False
Is 234.0992 greater than or equal to 8?
True
Is 3/347 at most as big as -614?
False
Which is smaller: -2 or -3800/2189?
-2
Are -200955 and -1074 equal?
False
Is 2328019/18 >= -0.07?
True
Which is smaller: -102585 or -105420?
-105420
Which is smaller: 0 or -518/146935?
-518/146935
Which is smaller: -1/220523364 or 0?
-1/220523364
Which is smaller: 6/349373413 or 1?
6/349373413
Which is greater: 0.237381 or -4?
0.237381
Which is smaller: -1/3320743 or -1?
-1
Is 36 at least -9/677060?
True
Which is bigger: -11485 or -87846?
-11485
Which is bigger: -3/604 or -181254?
-3/604
Are 522433025 and 522433025 equal?
True
Are 0.1 and -900694 nonequal?
True
Is -8075 >= -7168?
False
Are 9295/36108 and 0 equal?
False
Which is greater: -6061/7 or 1/793?
1/793
Which is smaller: 2/20960681 or -1?
-1
Is 7791467 < 7791472?
True
Which is smaller: -286 or 37289?
-286
Is -4870 < -131495/27?
False
Is 40863814 <= 40863813?
False
Which is smaller: 14714060 or -95?
-95
Are 1 and 3/274261738 unequal?
True
Which is smaller: -77387/2 or 1771.8?
-77387/2
Which is smaller: 111473.18 or 15?
15
Is -1 < -6/69180763?
True
Is 0.5943 < -0.023354?
False
Are 896823.64 and -0.3 nonequal?
True
Is -18453451 at most -73813807/4?
False
Which is smaller: -40118252 or -40118250?
-40118252
Are -147607 and -147107 nonequal?
True
Which is greater: -39 or -110135?
-39
Are -61677646 and -61677646 nonequal?
False
Do -0.08721 and 0.61142 have the same value?
False
Which is smaller: 0.021 or 5437192?
0.021
Are 13485/761 and 18 equal?
False
Is -2350113 < -2350134?
False
Which is bigger: -2050/471663 or 1?
1
Is -15135/164 less than -92?
True
Which is greater: 334659/4411 or -1?
334659/4411
Which is smaller: -599988 or -600009?
-600009
Is -20184561 at most -20184563?
False
Is -4226408 at least -4226408?
True
Is 100 less than 47559/470?
True
Is 374362 less than or equal to 374363?
True
Is 8912238 greater than 8912250?
False
Is -4125808 less than -0.21?
True
Is 7 greater than 7706/1139?
True
Is 35645732 smaller than -0.1?
False
Is 30/97 bigger than 55/24?
False
Is -1963 at least -567110/289?
False
Is 0 != 175/14574538?
True
Which is bigger: -35/19295638 or -1?
-35/19295638
Are -44567614 and -44567625 non-equal?
True
Is 13/15441091 at least -1?
True
Are -7451640 and -7451641 equal?
False
Is -225286/57 greater than or equal to -3952?
False
Is 4955 greater than or equal to 1284?
True
Which is smaller: 47 or 144731/3139?
144731/3139
Which is greater: -239678 or -239668?
-239668
Is -215507513 smaller than -215507514?
False
Is 350753532 | {
"pile_set_name": "DM Mathematics"
} |
)
Simplify (r*r**(-2/21))/r**(1/17) assuming r is positive.
r**(302/357)
Simplify (b*b*b*b/b**(-13/2)*b*b)**0 assuming b is positive.
1
Simplify w**10*w*(w/(w*w**(-1/7)*w*w))/w*w**5*w*w*w**(-1) assuming w is positive.
w**(99/7)
Simplify h**(-3/7)/((((h*h**(-5))/h)/h)/h*h)*h**(-2/3)/(h**4*h) assuming h is positive.
h**(-2/21)
Simplify (f**(2/5)*f)**(-24)*(f/f**(-6))/(f*(f/(f**(-9)/f))/f) assuming f is positive.
f**(-188/5)
Simplify ((v**0)**(-40))**(-24) assuming v is positive.
1
Simplify (a**(-7/3)*a)**(-3/4) assuming a is positive.
a
Simplify y**(7/3)*y**(-6/11)*y**(-2/5)/y**(-8) assuming y is positive.
y**(1549/165)
Simplify (b*b/(b*(b*b**(1/3))/b*b))**(2/111)/(b/b**(-2/19)*b/(b**7/b)) assuming b is positive.
b**(24604/6327)
Simplify (r**1/r)**(-31/4)*(r*(r/(r**0/r))/r*r)**(-42) assuming r is positive.
r**(-126)
Simplify g**(-1/8)*g/(g*g*g**(2/5)/g)*(g*g/(g**0/g*g*g))**(11/4) assuming g is positive.
g**(89/40)
Simplify (f/(f**(15/2)*f)*f)/(f**(-20)*f*f) assuming f is positive.
f**(23/2)
Simplify ((r*r**(1/2))**9)**(-36) assuming r is positive.
r**(-486)
Simplify (c*c**(2/9)*c*c*c*c*c**(-6)*c)**(-8) assuming c is positive.
c**(-16/9)
Simplify (y**5*y*y**5*y)/((y**(3/4)*y)/(y*y*y/y**7*y)) assuming y is positive.
y**(29/4)
Simplify (g**(-25)*g)**(1/9) assuming g is positive.
g**(-8/3)
Simplify x**(-37)*x*x**(4/13) assuming x is positive.
x**(-464/13)
Simplify r**(-3/25)/(r/r**10) assuming r is positive.
r**(222/25)
Simplify (y*y**(-1/6))/y*(y**8/y)/y*y**(-2/37)/(y**(-10)/y) assuming y is positive.
y**(3725/222)
Simplify (c**(-1)/(c/c**(-1/8)))**(-22) assuming c is positive.
c**(187/4)
Simplify z**(-2/7)*z**4*((z/(z*z/(z/(z*z*z**(-1)*z*z*z))))/z)**17 assuming z is positive.
z**(-569/7)
Simplify ((g**0)**(-47))**(3/40) assuming g is positive.
1
Simplify b**(-5)*b/(b/(b**(10/3)*b)) assuming b is positive.
b**(-2/3)
Simplify z**(1/11)/(z**11/z) assuming z is positive.
z**(-109/11)
Simplify ((s/((s**(1/4)*s)/s))/s**3)/(((s**0*s)/s)/(s/(s*s/s**(-6))*s)) assuming s is positive.
s**(-33/4)
Simplify (u**(2/5)/u*u/(u*((u/((u**(-4)*u)/u))/u*u)/u*u))/(u**(-1/2)/u)**(-4/23) assuming u is positive.
u**(-674/115)
Simplify (f/f**(-3/13))/(f/f**(-16)) assuming f is positive.
f**(-205/13)
Simplify j**(-5)*j**5*(j*j**(-2/3)/j)/j*j*j*(j*j*j*j**(-4/9))/j assuming j is positive.
j**(17/9)
Simplify ((u/(u/u**6))/u*u/(u/(u*u*u**(-1))*u))/((u*u**(-2/3)*u)/u)**(-23) assuming u is positive.
u**(38/3)
Simplify (y**(-5))**(-8/11) assuming y is positive.
y**(40/11)
Simplify c**10*c**(-4)*((c**(-1)*c)/c)**(-7/5) assuming c is positive.
c**(37/5)
Simplify r**(-2)*r*r/(r/(r**(3/2)/r)) assuming r is positive.
1/sqrt(r)
Simplify m**(11/5)/((m*m/(m**24*m))/m) assuming m is positive.
m**(131/5)
Simplify ((c**(-19)*c)/c*c*c)/c*c/c**25 assuming c is positive.
c**(-42)
Simplify ((q**0)**(2/3))**(-2/49) assuming q is positive.
1
Simplify ((u*u**5)**7)**(-49) assuming u is positive.
u**(-2058)
Simplify (p**13)**(-2/39) assuming p is positive.
p**(-2/3)
Simplify (f**(-2/21)/f)/(f/(f*f/((f**(1/8)/f)/f)))*(f**0)**(-46) assuming f is positive.
f**(299/168)
Simplify s**21/(s*s**(1/28)) assuming s is positive.
s**(559/28)
Simplify (b*(b**(-3)/b)/b*b)/(b/b**(-8)) assuming b is positive.
b**(-12)
Simplify (n**(1/4)*n)**(-2/61)*n/(n*n*n/(n*n/(n/(n*n**2*n)*n*n))*n)*((n*n/(n*n*n**(-7)/n*n)*n*n*n)/n)/n assuming n is positive.
n**(971/122)
Simplify b**(-3/7)*b/(b/((b**(-1/3)*b)/b)) assuming b is positive.
b**(-16/21)
Simplify (c**1/c*c)**(2/19) assuming c is positive.
c**(2/19)
Simplify (x**(23/5)*x)/(x/(x*x**(-3/5))) assuming x is positive.
x**5
Simplify ((r**2/r)/r**1)**(-8/3) assuming r is positive.
1
Simplify ((x*x**(-2/5)*x)/x)**(-11)*(((x*x*x*x/(x/x**(-2/3))*x)/x)/x)/(x*x/((x**(-3/13)*x)/x)) assuming x is positive.
x**(-1462/195)
Simplify (m**8/m)/(m**(-12)*m) assuming m is positive.
m**18
Simplify ((f*((f*f**2)/f)/f)/f*f)/(f**4/f)*((f**(-2/19)*f)/f)/f**(2/5) assuming f is positive.
f**(-143/95)
Simplify k**(-21)*k*k*k**(6/7)*k assuming k is positive.
k**(-120/7)
Simplify ((b/(b*b**(-4/5)/b))/(b*b**(2/3)))/(b**(-2/3)*b**(2/3)) assuming b is positive.
b**(2/15)
Simplify (((z/((z/((z/(z/z**(1/8))*z)/z)*z)/z*z))/z)/z*z)/z*z**(-6)*(z**0*z*z)/z*z/z**(-3/5) assuming z is positive.
z**(-251/40)
Simplify ((y/y**2)/(y**0*y*y))/((y**(-1)/y)/((y**(-7)/y)/y)) assuming y is positive.
y**(-10)
Simplify (((c**20/c)/c)/c)**(-15) assuming c is positive.
c**(-255)
Simplify (((s*s*s**(8/9))/s)/s*s*s)**(-47) assuming s is positive.
s**(-1222/9)
Simplify (h*h**(-14))/(h/(h*h**(-13/3))*h) assuming h is positive.
h**(-55/3)
Simplify ((k/(k/(k*k*k**2*k)*k)*k)**(-30))**13 assuming k is positive.
k**(-1950)
Simplify (v*(v*(v*v**(-1/4))/v)/v)/(v/(v*v*v*v/v**5*v*v))*(v/(v*v**5))/v**(-7) assuming v is positive.
v**(11/4)
Simplify (p*(p/(p**(-4/7)/p))/p)/p*p/(p**4/p) assuming p is positive.
p**(-3/7)
Simplify (v**(4/7)*v**(3/10))**(-40) assuming v is positive.
v**(-244/7)
Simplify k*k**(-15)*k**(-2/11)/k assuming k is positive.
k**(-167/11)
Simplify (o**(-1))**22/(o*o*((o/o**(-1/3))/o)/o)**(1/8) assuming o is positive.
o**(-133/6)
Simplify j*j/(j*(j/(j*j/(j/j**(2/13)*j)))/j)*j*j/j**(-4)*j**1/(j**(-1/3)*j) assuming j is positive.
j**(292/39)
Simplify z**(5/3)*z**(-2/13) assuming z is positive.
z**(59/39)
Simplify ((j**2*j)/j**(1/4))/(j**(1/2))**(-39) assuming j is positive.
j**(89/4)
Simplify ((c*c*c*c**(6/11))/c**(-9/2))**(-18) assuming c is positive.
c**(-1593/11)
Simplify (n**2)**27 assuming n is positive.
n**54
Simplify (m*m/((m/m**(-1))/m)*m*m)**(1/82)/((m/m**(-1/2))/m)**(4/25) assuming m is positive.
m**(-89/2050)
Simplify w**(3/25)/((w/(w/(w**16*w)))/w*w) assuming w is positive.
w**(-422/25)
Simplify i*i**29*i/i**33 assuming i is positive.
i**(-2)
Simplify ((k*k**(-6/11)/k)/k**(-3))**(-1/19) assuming k is positive.
k**(-27/209)
Simplify (w*w*(w*(w**(4/5)/w)/w)/w)/w*w**(-6) assuming w is positive.
w**(-31/5)
Simplify ((g*g**(-1/2))/g**(-5))/(g**(-1))**33 assuming g is positive.
g**(77/2)
Simplify (j*j**4*j**(-2))**(-19) assuming j is positive.
j**(-57)
Simplify ((w/w**1)/w**(-2/3))**(2/27) assuming w is positive.
w**(4/81)
Simplify (b/(b**11/b)*b)**(-5/6) assuming b is positive.
b**(20/3)
Simplify a*a/(a*(a**20*a)/a)*a**(8/7)*a assuming a is positive.
a**(-118/7)
Simplify u**(-2/17)/u**(-3/11)*(u**(-2))**(27/5) assuming u is positive.
u**(-9953/935)
Simplify ((l/(l/(l/(l*l**(1/3)))*l*l))/(l**5*l))/(l*l/(l/(l*l**2*l*l))*l**(-7)) assuming l is positive.
l**(-22/3)
Simplify (s*s**(-4/11)*s*s)/(s/(s/(s*s/s**(4/19)))) assuming s is positive.
s**(177/209)
Simplify ((k**(2/11)/k)/((k*(k*k**(-1/4))/k*k)/k*k))**(-1/31) assuming k is positive.
k**(113/1364)
Simplify ((m/(m**1/m))**(-4/23))**6 assuming m is positive.
m**(-24/23)
Simplify a**(-1/3)/a**(1/5)*(a**0)**(-3) assuming a is positive.
a**(-8/15)
Simplify (((z*z/(z**(-4/9)*z))/z*z)/z*z**(-7))**(-25) assuming z is positive.
z**(1475/9)
Simplify (g*g*g/g**(-6)*g)**(-20) assuming g is positive.
g**(-200)
Simplify f*f*(f**(-4/5)/f)/f*f*f/(f*f*f*f**(-20))*f*f assuming f is positive.
f**(101/5)
Simplify (h/h**41)**(-2/143) assuming h is positive.
h**(80/143)
Simplify (k*k**5/k*k*k*k**(3/5)*k)/((k**(-2/15)*k)/(k/(k**2/k))) assuming k is positive.
k**(116/15)
Simplify (r/r**7*r*r*r*r)/r**(-1/3)*r**(4/3)/r**(-1/15) assuming r is positive.
r**(-4/15)
Simplify (i**2*i)**50*(i/((i/(i**(-7/2)*i))/i))/i**(-3/8) assuming i is positive.
i**(1191/8)
Simplify (c*c**5/c)**47 assuming c is positive.
c**235
Simplify (f**3*f/f**(-2/9))/(f**(2/21)*f**2) assuming f is positive.
f**(134/63)
Simplify ((l/l**(1/8))/(l/l**7))/(l**2)**(-1/5) assuming l is positive.
l**(291/40)
Simplify a**(11/3)/a**(-11) assuming a is positive.
a**(44/3)
Simplify a*a*a**(2/13)*((a*a**5)/a*a)/a*a**(-5)*a**0 assuming a is positive.
a**(28/13)
Simplify (((t*t**(3/10))/t)/(t/(t**(-3/4)*t)))**(3/5) assuming t is positive.
t**(-27/100)
Simplify ((q*q*(q/(q*q**(-4)))/q*q)**(-26))**(-23) assuming q is positive.
q**3588
Simplify (((v/v**8)/v)/v*v**(-1))/(v**1*v*v*v/(v**(5/6)/v)) assuming v is positive.
v**(-85/6)
Simplify (k/(k**(1/4)/k)*k)**(-4/9)/((k/(k**3*k))/k**5) assuming k is positive.
k**(61/9)
Simplify (m**(-1/4))**(-13/3)*m**5/(m*m*m**2*m) assuming m is positive.
m**(13/12)
Simplify (s/s**(-2/11))**(-9) assumin | {
"pile_set_name": "DM Mathematics"
} |
Let z = t - 1565/7. What is the biggest value in 1/7, x, 0.1, z?
x
Let o(l) = l**3 + 14*l**2 + 28*l - 58. Let j be o(-11). Which is the smallest value? (a) -2 (b) 0.05 (c) j (d) 170
c
Let i be ((63/6)/(-7))/(816/64). Which is the fourth biggest value? (a) -4 (b) i (c) 5 (d) 3.1 (e) -1/6
e
Suppose -20*l = -15*l + 3*z + 11, 3*l = -5*z + 3. Which is the fourth biggest value? (a) 43 (b) l (c) 2/19 (d) 0 (e) 3
d
Suppose -3*d - 5040 = 12*d. Let q = -336 - d. What is the second biggest value in q, -3, -130?
-3
Let s = -0.058 - -0.198. Let t = 13.84 - s. Let l = -14 + t. What is the smallest value in l, 0.3, -2?
-2
Let l(i) = 10*i - 1. Let k be l(0). Let u be 16/(-90) + 10/45*k. Which is the smallest value? (a) u (b) 2/3 (c) 1/3
a
Let t = -1.8388 + 0.8388. Let p = -10 - -18. What is the second smallest value in p, t, 0.07?
0.07
Let t = -27263.96 - -27264. Which is the second smallest value? (a) -2.5 (b) 0.1 (c) -0.03 (d) t
c
Let u be (((-16)/(-10))/(-2))/(4/(-90)). Let v(g) = -g**3 + 19*g**2 - 17*g - 21. Let o be v(u). Which is the third smallest value? (a) o (b) -20 (c) -1/2
c
Let i = -119.49 + 119.99. Let t = 2 + -0.5. Let y = t + i. Which is the second smallest value? (a) y (b) 3/8 (c) 4
a
Let c = 20524.1 - 20524. Let n = -0.03 - -5.03. What is the third biggest value in -0.06, c, n?
-0.06
Suppose 211 - 566 = -5*z. Let n = z - 91. Let j be -15 - (-2)/((-8)/n). What is the second smallest value in -5/2, -4, j?
-4
Let d = -12960/45409 - 2/6487. What is the third biggest value in -0.1, d, 0.5, -5/4, 3?
-0.1
Let j = -17/55 + 233/220. What is the third smallest value in -3, j, 53?
53
Let a = 64 - 65. Let n = -7 - -4. Let c = 697 + -688. What is the smallest value in a, n, c?
n
Suppose -3*l = -3*r - 39, -5 = r + 2*l + l. Let m(t) = -t**2 - 13*t - 22. Let h be m(r). What is the fourth biggest value in -0.4, h, 2/9, 5?
-0.4
Let k be (-14)/24 - (-843)/1124. Which is the second smallest value? (a) k (b) 0.03 (c) 0 (d) -21
c
Let q = 24695 - 24695.1. Which is the second biggest value? (a) q (b) 3 (c) -2 (d) 4/351
d
Let r = 15317 + -15365. What is the third biggest value in 3, r, -0.05?
r
Let f be (-2)/(-3) - ((3 - (-624)/180) + -6). Which is the fourth biggest value? (a) 4 (b) f (c) 9 (d) 1/3
b
Let n be (4 - -2)/(3/(-50)). Let k = 497/5 + n. Let h = -33072/23 + 1438. Which is the second smallest value? (a) h (b) -1/3 (c) k
b
Suppose -5*a + 0*a = -4*a. Suppose y - 10 = -3*w, -2*w - 5*y + a = -24. Let s = -14.105 - -0.105. What is the third smallest value in w, -4, s, -2?
-2
Suppose 16*y - 11*y - 85 = 0. Suppose -3*k + y = 2*s, k - 4*k + 19 = 4*s. Let z = -0.7 + 0.7. Which is the fourth biggest value? (a) -2 (b) -2/3 (c) s (d) z
a
Let q = -5.3 - -2.63. Let i = 2.47 + q. Let x = -0.03 - 0.27. Which is the second smallest value? (a) x (b) i (c) -5
a
Let t = -0.19 - -61.19. Let m = -55.7 - 8.3. Let x = m + t. Which is the second biggest value? (a) x (b) -2/3 (c) -0.2
b
Suppose -k = 3*g + 27 - 23, -5*g - 8 = 3*k. Let w = 0 + -0.7. Let h = -0.69 - w. Which is the third biggest value? (a) g (b) 0.2 (c) -1/6 (d) h
c
Let h = -4 - -4.26. Let g = h - -1.14. Let k = g - 1.1. What is the fourth smallest value in -4, k, 0, -1?
k
Let j be (-24)/45*(-6)/8. Let b = 0.1548 - -0.1452. What is the fourth smallest value in -1/5, 5, j, b?
5
Suppose 3*i + 3*t = 81, -i - 2*t + 9 = -15. Let g be (3 + (-96)/i)/1. Which is the third biggest value? (a) 5 (b) g (c) 9
b
Let w = -186 + 188. Let d = -628 - -655.1. Let v = -27 + d. What is the biggest value in 0.3, v, w, 3?
3
Let z(f) = 605*f + 8. Let w be z(0). What is the third biggest value in 4, 2/7, 0.1, w, -2/71?
2/7
Suppose 0 = -82*z - 100 + 182. Let d = -6 - -2. Let o = -0.08 - -4.08. Which is the smallest value? (a) z (b) d (c) o
b
Let b(m) = m**3 - 17*m**2 - 59*m - 27. Let u be b(20). What is the fourth biggest value in 0.6, u, 1/5, -0.5?
u
Let y = -46 + 44.25. Let g = -0.75 - y. What is the smallest value in g, -3, 12?
-3
Let t = 0.03846 + -6.03846. What is the second biggest value in 0.1, t, -12, 2?
0.1
Let q be (24/(-108))/((-16)/(-704)) - -10. Let g = 10 - 15. Let d = g - -2. What is the fourth smallest value in 1, 0, q, d?
1
Let t be (153/30)/((-1)/2). Let i = -10 - t. Which is the second smallest value? (a) -1/2 (b) i (c) 0.3 (d) 3
b
Let q = 1392 - 1037. What is the biggest value in q, 3, 4?
q
Let l = -983 - -1443. Let r = l + -459.5. Which is the second biggest value? (a) 1/3 (b) r (c) 0.3 (d) 1.4
b
Let w = 171 + 56. Let y = w + -214. Which is the third smallest value? (a) y (b) -1 (c) -0.4
a
Let h be (26/(-65) - 9/(-60))*4. Which is the fourth smallest value? (a) 0 (b) 23 (c) -1/3 (d) h
b
Let z = -0.02217 - 0.17783. What is the biggest value in -28, 1, 0.5, z, 0?
1
Let w = -7/2 - -339/98. Let y = 0.23 + -0.03. What is the third smallest value in -3, y, w?
y
Let a = -94.5 + -154.5. What is the third smallest value in a, 0.3, -1, -4?
-1
Suppose 2*p + f - 14 = -3*p, -8 = -2*p + 2*f. Let z = -0.071 + 0.901. Let s = -0.93 + z. Which is the smallest value? (a) 0 (b) p (c) s
c
Let q = 30 - 30.3. Let y = -1.29 - 12.01. Let i = y + 7.3. Which is the fourth smallest value? (a) i (b) -0.5 (c) q (d) 0
d
Let u be 4/(-3)*(-351)/(-18). Let f = u - -32. Let o be (3/2)/(f/12). Which is the third smallest value? (a) 2 (b) -4 (c) 0.3 (d) o
a
Let u = -3806 + 11422/3. Which is the second smallest value? (a) -4 (b) u (c) 7
b
Let g = -2345 + 89105/38. Let y = g + 177/190. Let j = 661/7 - 94. What is the third smallest value in j, y, -0.3?
y
Let i = -29074351/180 - -161523. Let o = 29/90 + i. Let u = o - -8/5. Which is the second biggest value? (a) -0.2 (b) u (c) 0.3
c
Let j = 116.3 + -135. Let r = -17.8 - j. Which is the smallest value? (a) r (b) 2 (c) -18
c
Let i be 3/2 + (-600)/80. Let s be (-2)/(-8*i/(-12)). Let q = -3 - -4. Which is the third biggest value? (a) -0.3 (b) s (c) q
a
Let u be (-38)/95 + 4858/(-105) + -3. Which is the second biggest value? (a) 15 (b) u (c) -4
c
Let y = -52131 + 781967/15. Let g be (-1)/((-8)/1)*2. Which is the third biggest value? (a) 3 (b) 2/3 (c) y (d) g
d
Let f = 5.4 - 2.5. Let r be 10 - 7*170/140. What is the biggest value in f, -3/7, r, -0.2?
f
Let t = 11968 - 11943. Which is the third smallest value? (a) -2 (b) t (c) 26 (d) -2/7 (e) -1/9
e
Let l = 37.63 + -37.93. What is the second biggest value in 9, l, 0.2, 8?
8
Let t = -15.7 + 15. Let z = -7169.3 + 7170. What is the biggest value in z, 5, t, -5?
5
Let o = 24334.0166 - 24329. Let n = o - 0.0166. Let g = -3 - -3.4. Which is the biggest value? (a) -4 (b) g (c) n (d) -3
c
Let l = 562 + -587.3. Let p = l + 23.3. Which is the smallest value? (a) -8 (b) p (c) -0.17
a
Let z = -17.19 - -17. Let x be 514/(-1285)*(-3)/6. What is the second smallest value in 2, z, x, -2/5?
z
Let j = 866.2 + -866.2. Which is the second smallest value? (a) j (b) 5/2 (c) 0.111
c
Let i = 42.018 - 0.018. Let l = i + -40. Let r = -1.3 + 1.4. What is the smallest value in r, 3, l, -2?
-2
Let i(v) = v**3 - 4*v**2 + 14*v - 4. Let h be i(0). What is the biggest value in 18, -3/5, h, -1/22?
18
Let d = 4.27 + -0.27. Let k = -7 - d. Let f = k - -6. Which is the biggest value? (a) f (b) 3 (c) 0.3
b
Let t be ((-76)/(-19)*1/(-2))/(8/(-28)). What is the third smallest value in 5, 2, t, 0.01, -8?
2
Let o be (332/2075)/(-2 - 0). What is the third biggest value in -2/39, 15, o?
o
Let j = 936 - 931. Let g be (-2 - -1)*2 - (-51)/34. Let f = -5 - 0. What is the second biggest value in f, j, g, 0?
0
Let n = -3.08 - -3.1. Let d = -5.02 + n. Let u = 2.28 + -2.58. Which is the smallest value? (a) 1/10 (b) d (c) u
b
Let y = 3462.924 - 3463. What is the second biggest value in 5, -1, y?
y
Let q = 0.3 - 0.1. Let o = 8.7286 + -8.3286. Which is the biggest value? (a) 25 (b) q (c) -2 (d) o
a
Let d = -173.056 + 173. Let b = 63.1 + -67.156. Let m = d - b. What is the biggest value in -5, m, -3?
m
Let v = -1.456 + -215.644. Let k = -217 - v. Let d = -4 - 0. Which is the third smallest value? (a) d (b) k (c) 0.5
c
Let d = -2279/11 + 207. Let w = 0.84 + -0.358. Let m = w - -1.518. Which is the second biggest value? (a) d (b) 4 (c) m
c
Let c be -1 + -1 + -2 - -2. Let l be (c/(-2) - 2 | {
"pile_set_name": "DM Mathematics"
} |
+ 3*g**2 - 2*g**2)*(-g**2 - g**2 + 4*g**2)).
-336*g**5 - 144*g
Expand (7*c - 2*c - c)*(4*c - 16*c - 1 + 29*c).
68*c**2 - 4*c
Expand (-1 + 1 + 1)*(-5*m - m + 3*m)*(4*m + 13*m - m).
-48*m**2
Expand (0 + 1 + 5)*(-3*g + 3*g - 2*g) + 4*g + 10*g - 5*g.
-3*g
Expand (-4*y - 9*y - y)*(0 - 2 + 4)*(9 - 2 - 11).
112*y
Expand 15*j - 58*j - 187*j + (2*j + 0*j + 0*j)*(-2 + 4 - 3).
-232*j
Expand (2 - 4 + 1)*((6 - 4 - 3)*(-3*p - p**2 + 3*p) - 124*p**2 + 50*p**2 + 162*p**2).
-89*p**2
Expand (10*w - 6*w + 5*w)*(157*w**2 + 144*w**2 - 325*w**2).
-216*w**3
Expand (-12*o - o**2 + 12*o)*(-o + 2*o + o + (-3 - 1 + 5)*(3 + 2*o - 3)) + 3*o**3 + 2*o**3 - 3*o**3.
-2*o**3
Expand (3*s - s - 3*s)*(5*s - 3*s - 4*s) - 3*s - 3*s**2 + 3*s - 4*s**2 + 24 - 26 + 3*s**2.
-2*s**2 - 2
Expand (0*a**3 - a**3 - 2*a**3)*(40*a + 44*a + 85*a).
-507*a**4
Expand (3 - 5 - 4)*(6*h - 1 - 6*h**5 - 6*h).
36*h**5 + 6
Expand (1 - 2*g**2 - 3 + 0*g**2)*(-152*g - 82*g + 26*g).
416*g**3 + 416*g
Expand -52*m**3 + 158*m**3 + 1 + 39*m - 25*m + (-2*m - 2 + 2)*(3*m**2 - m**2 - 4*m**2).
110*m**3 + 14*m + 1
Expand (0*t**3 - 3*t**3 + t**3)*(-2 - 14 + 1) - 2*t**3 - 77*t + 77*t + 3*t**2.
28*t**3 + 3*t**2
Expand ((-3 - 3 + 4)*(-5 + 5 + 1) + 0 - 4 + 1)*(0*y + y + 0*y + (1 + 1 - 3)*(-2 - y + 2) + y + y + 0*y + 9*y + 5*y - 5*y).
-65*y
Expand -28101*f**2 - 174*f**3 + 28101*f**2 + 5*f**3 - 3*f**3 - 4*f**3 + (1 - 4 + 1)*(-f**3 + 0*f**2 + 0*f**2) + 2*f**3 + 1 - 1 - 3*f**3 + 0*f**3 + 4*f**3.
-171*f**3
Expand (0 + 1 + 0)*(-3173*j + 1572*j - 34*j**2 + 1582*j).
-34*j**2 - 19*j
Expand (0 - 5 + 4)*(2*j + 0*j + j)*(1 + 27*j**3 - 2 - 29*j**3 - 8*j**4).
24*j**5 + 6*j**4 + 3*j
Expand (1 + 6 + 1 + t)*(9*t - 14*t - 17*t).
-22*t**2 - 176*t
Expand (18 - 7 - 5)*(3*v**5 - 4*v**5 + 3*v**5) - v**5 + v**5 - 4*v**5.
8*v**5
Expand (-2 + 116023*h - 116184*h + 5)*(-5 + 4 + 3 + h**2).
-161*h**3 + 3*h**2 - 322*h + 6
Expand (4 - 1 - 1)*((-3 - 2 + 4)*(3*b**2 + b**2 - 3*b**2) - 1 + 3*b**2 + 3 + 0 + b - b - b**2 + 4*b**2 + 0*b**2 - 9*b**2).
-8*b**2 + 4
Expand 447*f - 447*f - 26*f**5 + (3*f**4 - 3*f**4 - 2*f**4)*(f - 2 + 2).
-28*f**5
Expand 23*t - 30*t**3 - 12*t - 11*t + 0*t**3 - t**3 + 0*t**3 + (t - t**2 - t)*(-t - 2*t + 8*t).
-36*t**3
Expand -4099*i - 1491*i**4 + 4099*i + (4*i - 2*i**4 - 4*i)*(2 - 1 + 1).
-1495*i**4
Expand -3*t + 1 + t + 5*t + (-7 + 0 + 1)*(-4*t + 0*t + 0*t).
27*t + 1
Expand y**2 - 1 - y**2 - 2*y**3 + (1 + 0 - 3)*(-4*y**3 + 16*y**3 + 11*y**3).
-48*y**3 - 1
Expand (0 - 4 + 1)*(2 - 4 + 1)*(-6*z + 3*z - 6*z) - 2 + z + 2.
-26*z
Expand (0 - 3*i + 2 - 1)*(-31*i + 59*i - 48*i).
60*i**2 - 20*i
Expand (4*t - 15*t + 2*t - 18*t)*(-6*t + 5*t - 4*t).
135*t**2
Expand (-9*x**5 + 14*x**5 - 9*x**5)*(-1 - 2 + 4) + (0*x + 0*x + x**4)*(-1 + 1 + 4*x) + 5*x**5 - 2*x**5 - 2*x**5.
x**5
Expand (j + 0*j - 10*j)*((-1 - 2 + 4)*(0 - 1 + 2) + 1 + 2 - 1 - 5 + 0 + 4 + 0 + 3 - 4).
-9*j
Expand (-7*i - 3*i - i)*(-i + 3*i + 0*i) + (5 - 7 + 33)*(2*i**2 - i**2 - 2*i**2).
-53*i**2
Expand u + 4 - 4 + (3 + 4 - 1)*(u + 4*u - 7*u) + 5*u - 14 - 7 + 26.
-6*u + 5
Expand -g**2 + 0*g + 0*g + (2 - 2 - 3*g)*(-6*g + 8*g - 7*g) - 93*g**2 + 91*g**2 - 4 - 3.
12*g**2 - 7
Expand (2*k + 2 - 2)*(-25 + 65 - 22)*(-k**2 + 3*k**2 + 2*k**2).
144*k**3
Expand 1 - 1 - 2*f**2 + (2 + 2*f**2 - 2)*(5 - 3 - 3) - 28*f**2 - 87 + 87 + 88*f**2.
56*f**2
Expand (940*j - 457*j - 409*j)*(2*j**3 - 2*j**3 - 2*j**3 + 6*j).
-148*j**4 + 444*j**2
Expand (2*y**4 - 2*y**4 + 2*y**4)*(13*y + 10*y - 17*y).
12*y**5
Expand (-3 + 0 + 5)*(-g**3 + 2*g - 2*g) + (0*g**2 - 7*g**2 + 4*g**2)*(-13*g - 43 + 43).
37*g**3
Expand (0 + 0 - i + (3 + 6 - 3)*(-3*i - 10 + 10))*(-i**4 + 0*i**4 + 3*i**4).
-38*i**5
Expand (-m + m - m)*(512*m + 1663 - 1663).
-512*m**2
Expand (0 - 1 + 4)*(-11*z - 14*z + 0*z + 3*z)*(-3*z**2 - 8*z**2 - 4*z**2).
990*z**3
Expand (4 - 4 - 2)*(d - d - d)*(3 - 3 + 2*d)*(-5*d + 10*d + 15*d).
80*d**3
Expand (-5 + 2 + 1 + 1 + 2 - 2 + (2 - 2 + 2)*(5 - 5 + 1) - 3 + 2 + 3)*(-1 + 51 - 23)*(-5*n**2 + 4*n**2 + 3*n**2).
162*n**2
Expand 0 + 2*f + 0 + (-2 + 2 + 3 + (0 + 0 - 1)*(-1 - 2 + 1) + 3 - 3 + 2 + 2 - 5 + 1 + 3 - 4 + 3 + 4 - 3 + 1 - 1 + 5 - 3)*(0 + 4*f + 0)*(-13 + 21 + 26).
1362*f
Expand (3*b + b - 2*b)*(1 + 3 - 6) + 2*b - 2*b - 2*b - 23 + 164*b + 151*b - 97*b + 18.
212*b - 5
Expand 14*q + 25*q - q + (2*q - 2*q - q)*(1 - 2 + 0) + 2*q + 4 - 2 - q.
40*q + 2
Expand -24*i + 19*i - 19*i - 3*i - i + 3*i + (-5 + 4 + 3)*(i - 2*i - i) + 4 + 3*i - 4.
-26*i
Expand g**2 - 7*g**2 - g**2 - 11*g**2 + 2*g**2 + 0*g**2 + (4 - 1 - 2)*(-3*g**2 + 6*g**2 - g**2) + g + g**2 - g.
-13*g**2
Expand (3*t - 2*t**2 - 3*t)*(-2859*t + 1119*t + 715*t).
2050*t**3
Expand (-1 + 1 - p)*(2 - 3 + 2) - 4*p - 4 + 4 + p + 0 + 0 - 5*p - 5 + 2 + 4 - p - 3 + 3 - p + 4*p - 2*p - 3*p + 4*p - 3*p + (p - 3*p + 0*p)*(1 + 1 - 1).
-13*p + 1
Expand (-6*a**2 - 4*a**3 + 2 + 6*a**2)*(51*a - 2 + a - 4*a).
-192*a**4 + 8*a**3 + 96*a - 4
Expand (18 - 5*x - 18)*(6*x + 19*x - 4*x + ((-5 + 3 + 1)*(3*x + 0*x - 5*x) + 0 + 2*x + 0)*(-1 + 1 + 2)).
-145*x**2
Expand (28*i - 20*i**2 - 28*i)*(0*i + i + i - 6*i + 3*i + i + (0*i + 3*i - i)*(3 + 0 - 4) + 4*i - 4*i - 2*i).
80*i**3
Expand (-10 - 21 + 6)*((-2*y - 2*y + 5*y)*(-8*y**4 - 12*y**4 + 5*y**4) + 0*y**5 + 2*y**5 - 4*y**5).
425*y**5
Expand (1709 - 1709 + 57*l**2)*(2*l - l - 6*l).
-285*l**3
Expand (-402*b**4 + 3061*b**4 + 2*b - b - b)*(-2 - 1 + 2).
-2659*b**4
Expand (2 - 2*y - 2)*(-8*y**2 + 26*y**2 + 6*y**2 - 1 - 2*y**2 + 1 + (-3*y + y + 0*y)*(3 - 3 + y) - 159 - 22*y**2 + 159 + (4*y - 6*y + 3*y)*(y + 3*y - 3*y)).
2*y**3
Expand 21 - 21 + y + (-1 + 3 - 4)*(0*y + 0*y - 2*y) + 1 - 1 + y + (6*y - 2*y - 2*y)*(9 + 4 - 19).
-6*y
Expand (-h**2 + h**2 - 4*h**2 + (2*h - 2 + 2)*(1 - 1 - 5*h))*(0*h**3 + 2*h**3 - 7*h**3).
70*h**5
Expand 54*o**4 + 56*o**4 - 56*o**4 + (4*o - o**2 - 4*o)*(3*o**2 - 5*o**2 + 3*o**2).
53*o**4
Expand -11*y - 286 + 286 + (-3*y - 3*y + 5*y)*(3 + 2 - 4) - 2 + 0 + 3 + 5*y.
-7*y + 1
Expand (421*y - 4*y**2 - 2 - 410*y + 2*y**2)*(-y**2 - y**2 + 4*y**2) + 7 - 2*y**4 - 7.
-6*y**4 + 22*y**3 - 4*y**2
Expand (-d + 0*d + 2*d)*(-d - 1 + 1)*(-50745*d + 50745*d + 14*d**3 + 2).
-14*d**5 - 2*d**2
Expand j**5 + 3 - 3 - j**2 - 2*j**5 + j**2 + (-4 + j**4 + 4)*(j + 2*j - 2*j) - 14*j**5 + 6*j**5 + 4*j**5 + (-5 + j + 5)*(3*j**4 - 2*j**4 + 0*j**4).
-3*j**5
Expand 129*v**3 - 109*v**3 + 66*v**3 + 2*v**3 + 0*v + 0*v + (v - 3*v + v)*(-5*v**2 + 3*v**2 + v**2) + 3*v**3 + 2*v**3 - 3*v**3.
91*v**3
Expand (-1 + 1 + 1)*(-2*c - c + c + (c + 2*c - c)*(11 - 1 + 1) - c + 0*c + 0*c + (-2 - 1 + 2)*(4*c - c - 2*c)).
18*c
Expand (-2 - 4*p + 5*p - 1)*(-10 + 10 - 26*p**2 - 6*p**2 + 4*p**2 + 0*p**2 + (-4*p + p + p)*(-2*p - 2*p + 3*p) + 0 + 0 + 2*p**2).
-24*p**3 + 72*p**2
Expand -4*l - 16 + 16 - 1 + 1 - l + (l + 0 + 0)*(2 - 3 + 0) + (-2 - 3*l + 2)*(-1 + 4 - 2).
-9*l
Expand (v - 2*v - 3*v)*(3*v + 7*v + v)*(1 - 4 + 1 + (2 - 5 + 2)*(3 - 1 - 3)).
44*v**2
Expand (0 + 5 - 3)*(5*a + a - 5*a)*(-1 - 2 + 4 + (-10 + 7 + 27)*(1 + 2 - 4)).
-46*a
Expand ((-4 + 5 + 0)*(12 - 7 + 8) + 0 - 2 + 4)*(-h + 0*h + 2*h + 3*h + h - 5*h + (5 - 2 - 1)*(h + h + 0*h) - 2 + 2 + h - 3*h + 4*h + h).
105*h
Expand (33*p**4 - 208*p**4 + 32*p**4)*(-9 + 2 - 2).
1287*p**4
Expand (6 + d - 6 + 3 - d - 3 + (-2 - 6 - 2)*(2*d - d - 3*d))*((-d**2 + 5 - 5)*(-4 - 1 + 4) + 3*d**2 - 2*d**2 + d**2).
60*d**3
Expand (1 - 1 + 2*a)*(-916 + 420 + 431)*(5*a - 3*a - 3*a).
130*a**2
Expand 537 - 537 + 10*q + (4*q - 5*q - q)*(2 - 1 + 2).
4*q
Expand -4 + 4 - n**4 + (-424*n + 424*n + 315*n**2)*(5*n**2 - 2*n**2 - 2*n**2).
314*n**4
Expand (2*b - 3*b + 2*b)*(-4*b**4 + 0*b**4 + 0*b**4) + (b**3 + 5*b**3 - 2*b**3)*(3 - 2*b**2 - 3) + 893*b**4 + 25*b**5 - 893*b**4.
13*b**5
Expand (-2*k**2 - 2*k**2 + 3*k**2 + (-k + 3 - 3)*(0*k + 0*k + 2*k))*(5 + 2 - 3) + (1 + 2*k - 1)*(-k - k - k)*(-7 - 12 - 13).
180*k**2
Expand (72*l**2 - 272 + 272)*(3*l - 6*l + l) + 4*l**3 - 4*l**3 - 2*l**3 + (1 - 1 + 2*l**2)*(2*l - 2 + 2) + 4*l**3 - 2*l**3 - l**3.
-141*l**3
Expand (-32*n - 10*n**2 + 32*n)*(n + 4*n - 4*n) - 14*n**3 - n**3 + 3*n**3.
-22*n**3
Expand (2 + 0 - 4)*(-16 - 41 + 2)*(2*l + 2*l + 8*l).
1320*l
Expand (3 + 0 + 0)*(-737*k**2 + 2*k**4 - 136*k**5 + 737*k**2).
-408*k**5 + 6*k**4
Expand (-10 + 10 + 3*f)*(f + 45 - f - 2*f).
-6*f**2 + 135*f
Expand (-97 - 66 + 3 + 27)*(-2*w + 3*w**3 + 2*w).
-399*w**3
Expand 9*h**2 + 99 - 2*h**4 - 99 + h**4 - 2*h**4 + 0*h**4 + | {
"pile_set_name": "DM Mathematics"
} |
680?
2, 3, 5, 7, 499, 1637
List the prime factors of 3458674459.
59, 58621601
What are the prime factors of 146026386?
2, 3, 11, 737507
What are the prime factors of 102079591?
937, 108943
List the prime factors of 131793608.
2, 71, 331, 701
List the prime factors of 1907602757.
167, 1153, 9907
What are the prime factors of 1288847811?
3, 429615937
What are the prime factors of 1064134002?
2, 3, 177355667
What are the prime factors of 236027697?
3, 78675899
List the prime factors of 67900996.
2, 1451, 11699
What are the prime factors of 413126533?
197, 461, 4549
List the prime factors of 2715082856.
2, 339385357
What are the prime factors of 33665469?
3, 41, 191, 1433
List the prime factors of 3565026558.
2, 3, 198057031
What are the prime factors of 97259128?
2, 12157391
What are the prime factors of 62074265?
5, 11, 1128623
What are the prime factors of 92140981?
41, 2247341
What are the prime factors of 15434119?
29, 43, 12377
List the prime factors of 796077048.
2, 3, 13, 19, 134291
List the prime factors of 1097035051.
7, 156719293
List the prime factors of 482898273.
3, 11, 13, 383, 2939
List the prime factors of 648945457.
13187, 49211
What are the prime factors of 319815632?
2, 19988477
List the prime factors of 54340699.
7, 107, 72551
What are the prime factors of 2966923215?
3, 5, 17, 307, 4211
List the prime factors of 2160128.
2, 4219
List the prime factors of 1320940893.
3, 440313631
What are the prime factors of 67476354?
2, 3, 11, 617, 1657
List the prime factors of 572431524.
2, 3, 7, 973523
What are the prime factors of 1722802281?
3, 23, 89, 280541
What are the prime factors of 12293074?
2, 17, 361561
What are the prime factors of 1727923235?
5, 2273, 152039
List the prime factors of 75106564.
2, 13, 47, 79, 389
What are the prime factors of 825487063?
229, 3604747
List the prime factors of 1344869626.
2, 17, 39554989
List the prime factors of 45645838.
2, 7, 3260417
What are the prime factors of 304921849?
304921849
List the prime factors of 113022698.
2, 17, 195541
What are the prime factors of 123338924?
2, 30834731
List the prime factors of 39778143.
3, 53, 101, 2477
What are the prime factors of 1636239455?
5, 293, 1116887
List the prime factors of 1302402325.
5, 7, 29, 353, 727
What are the prime factors of 2315443036?
2, 163, 509, 6977
List the prime factors of 1419393453.
3, 7159, 66089
List the prime factors of 19675607.
7, 31, 12953
What are the prime factors of 68722822?
2, 7, 4908773
List the prime factors of 202368222.
2, 3, 7, 1606097
What are the prime factors of 599617451?
599617451
List the prime factors of 3839833114.
2, 13, 67, 13043
List the prime factors of 2801578102.
2, 1400789051
List the prime factors of 412216251.
3, 9511, 14447
List the prime factors of 4811910423.
3, 7411, 216431
List the prime factors of 1124394847.
1579, 712093
What are the prime factors of 41324078?
2, 20662039
What are the prime factors of 17791215?
3, 5, 13, 91237
List the prime factors of 235261597.
379, 620743
List the prime factors of 957898068.
2, 3, 79, 809, 1249
List the prime factors of 162861212.
2, 40715303
What are the prime factors of 3491216998?
2, 3623, 481813
What are the prime factors of 831222517?
859, 967663
What are the prime factors of 6672145452?
2, 3, 7, 5653, 14051
List the prime factors of 2141574597.
3, 23, 1549, 6679
What are the prime factors of 45336948?
2, 3, 3778079
What are the prime factors of 137439342?
2, 3, 282797
What are the prime factors of 4101201413?
443, 9257791
What are the prime factors of 3771514692?
2, 3, 11, 43, 221489
List the prime factors of 235056302.
2, 13, 61, 148207
List the prime factors of 350317336.
2, 43789667
What are the prime factors of 3005619517?
701, 4287617
List the prime factors of 29301106.
2, 61, 240173
List the prime factors of 879001662.
2, 3, 7, 11, 347, 5483
What are the prime factors of 644852374?
2, 2423, 133069
List the prime factors of 98063721.
3, 7, 1556567
List the prime factors of 1721555449.
29, 139, 427079
List the prime factors of 6501025320.
2, 3, 5, 54175211
List the prime factors of 430765648.
2, 179, 150407
List the prime factors of 94603485.
3, 5, 23, 274213
List the prime factors of 15707107.
13, 1208239
List the prime factors of 2238097160.
2, 5, 13, 4304033
List the prime factors of 71090716.
2, 29, 139, 4409
What are the prime factors of 149043934?
2, 13, 29, 43, 4597
What are the prime factors of 273823435?
5, 54764687
What are the prime factors of 200322948?
2, 3, 7, 2384797
List the prime factors of 7738199.
7, 1105457
What are the prime factors of 239645828?
2, 173, 346309
List the prime factors of 547561195.
5, 109512239
List the prime factors of 186920242.
2, 7411, 12611
List the prime factors of 377206895.
5, 13, 137, 42359
What are the prime factors of 39444705?
3, 5, 292183
List the prime factors of 349238264.
2, 37, 1179859
What are the prime factors of 37342049?
19, 547, 3593
List the prime factors of 227301402.
2, 3, 6043, 6269
List the prime factors of 79664405.
5, 15932881
List the prime factors of 9472568636.
2, 19, 173, 727, 991
What are the prime factors of 649280986?
2, 367, 884579
List the prime factors of 8014032.
2, 3, 13, 1427
List the prime factors of 1327112281.
11, 127, 949973
What are the prime factors of 1076651677?
41, 26259797
List the prime factors of 26530398.
2, 3, 43, 151, 227
What are the prime factors of 3430277283?
3, 293, 3902477
What are the prime factors of 88326271?
11, 17, 472333
List the prime factors of 116105768.
2, 41, 479, 739
What are the prime factors of 163546757?
11, 199, 74713
List the prime factors of 8776111.
53, 165587
What are the prime factors of 1592045448?
2, 3, 7, 1787, 5303
List the prime factors of 217825665.
3, 5, 14521711
What are the prime factors of 688899085?
5, 7, 2811833
What are the prime factors of 912104175?
3, 5, 43, 151, 1873
What are the prime factors of 524390741?
7, 3023, 24781
What are the prime factors of 54883904?
2, 173, 4957
List the prime factors of 3049130573.
3049130573
List the prime factors of 104668506.
2, 3, 251, 23167
What are the prime factors of 3778864?
2, 103, 2293
List the prime factors of 392742156.
2, 3, 61, 536533
What are the prime factors of 26938746?
2, 3, 1496597
What are the prime factors of 2239728101?
13, 13252829
List the prime factors of 1694664840.
2, 3, 5, 11, 23, 55819
What are the prime factors of 38639688?
2, 3, 283, 5689
List the prime factors of 531359547.
3, 23, 29, 265547
List the prime factors of 1299355597.
241, 5391517
List the prime factors of 269114897.
827, 325411
What are the prime factors of 94530828?
2, 3, 7, 23, 113, 433
What are the prime factors of 118077148?
2, 7, 4217041
List the prime factors of 21213025.
5, 17, 19, 37, 71
What are the prime factors of 404624951?
271, 359, 4159
List the prime factors of 459542498.
2, 131, 1753979
List the prime factors of 467334267.
3, 17, 9163417
What are the prime factors of 161339895?
3, 5, 3585331
List the prime factors of 137927790.
2, 3, 5, 7, 11, 13, 1531
List the prime factors of 987250806.
2, 3, 54847267
What are the prime factors of 412889040?
2, 3, 5, 573457
List the prime factors of 3404610800.
2, 5, 8511527
List the prime factors of 204161626.
2, 1187, 85999
What are the prime factors of 502905528?
2, 3, 19, 367621
List the prime factors of 14171261.
13, 1090097
List the prime factors of 419065809.
3, 2693, 51871
List the prime factors of 222015186.
2, 3, 1321, 9337
What are the prime factors of 248151453?
3, 11, 7519741
List the prime factors of 3810618021.
3, 7, 1931, 93971
What are the prime factors of 1611783061?
7, 43, 661, 8101
List the prime factors of 148177983.
3, 23, 53, 40519
What are the prime factors of 2033787?
3, 7, 96847
List the prime factors of 86834920.
2, 5, 359, 6047
List the prime factors of 143337472.
2, 17, 23, 179
List the prime factors of 360853087.
7, 349, 147709
What are the prime factors of 65585940?
2, 3, 5, 7, 156157
What are the prime factors of 37812781?
29, 43, 30323
List the prime factors of 19313210.
2, 5, 7, 61, 4523
List the prime factors of 60556473.
3, 269, 25013
What are the prime factors of 284926368?
2, 3, 2967983
What are the prime factors of 2177134213?
17497, 124429
What are the prime factors of 36955974?
2, 3, 11, | {
"pile_set_name": "DM Mathematics"
} |
3 by 428.
6773/428
What is 45124972 divided by 11281243?
4
Divide -7912576 by -1.
7912576
What is 5 divided by 32752801?
5/32752801
What is 767507 divided by 12?
767507/12
27953688 divided by -41048
-681
Calculate -32 divided by 1035345.
-32/1035345
Divide 70845342 by -35422671.
-2
Divide 105658700 by -20.
-5282935
Calculate 141518631 divided by 2.
141518631/2
-8 divided by -1191085
8/1191085
Calculate 13 divided by 466282.
13/466282
Divide 13063275 by -2612655.
-5
-53064048 divided by -48
1105501
-6190536 divided by -524
11814
What is -18276682 divided by 22?
-9138341/11
-30263884 divided by 56887
-532
Divide -38175 by -640.
7635/128
Divide -15556 by -32570.
7778/16285
-8279325 divided by 46
-8279325/46
Divide 36380664 by 9095166.
4
What is -27 divided by 361153?
-27/361153
Divide -46635 by -39.
15545/13
-1921434059 divided by -61
31498919
Divide 100385984 by 2.
50192992
Calculate 3 divided by -35945605.
-3/35945605
Calculate -110228910 divided by -6.
18371485
What is 318450 divided by -337?
-318450/337
What is -988 divided by 24256?
-247/6064
-42443644 divided by 39
-42443644/39
0 divided by 2397428
0
Divide -8578890 by 8622.
-995
25647348 divided by 5
25647348/5
-7 divided by 1028667
-7/1028667
What is -8886570 divided by -74?
4443285/37
Divide -1747 by -25410.
1747/25410
What is -114 divided by -43686?
19/7281
What is -77035 divided by 4534?
-77035/4534
94676864 divided by -16
-5917304
12658 divided by -113
-12658/113
What is -392053 divided by -13?
392053/13
Calculate 27654423 divided by 1.
27654423
Calculate -846116 divided by -140.
211529/35
-294598 divided by 201
-294598/201
519803 divided by -1
-519803
Calculate 85729486 divided by 6.
42864743/3
What is -32752570 divided by 5?
-6550514
Divide -2 by -81582762.
1/40791381
836601 divided by 6
278867/2
Divide 0 by 355884.
0
200266638 divided by 2311
86658
What is -72433816 divided by 2?
-36216908
What is 16719 divided by 579?
5573/193
Calculate 1431 divided by -2603.
-1431/2603
Calculate 64525 divided by 31.
64525/31
What is 16140921 divided by -9?
-5380307/3
596 divided by -186631
-596/186631
Calculate -126520004 divided by 31630001.
-4
Divide -71 by 39245.
-71/39245
What is 52284762 divided by 9?
5809418
Calculate -3 divided by 226595321.
-3/226595321
Divide 57179280 by -11435856.
-5
Divide -10048575 by -669905.
15
21973 divided by -8398
-21973/8398
-4637125 divided by 927425
-5
1653 divided by 4550
1653/4550
Divide -34071 by -6245.
34071/6245
What is -22842 divided by -52?
11421/26
Divide 7687 by 138066.
7687/138066
Divide -1425628 by 124.
-11497
4500 divided by -3812
-1125/953
Divide 7845347 by 40.
7845347/40
What is 50845041 divided by -434573?
-117
Calculate 851 divided by -29721.
-851/29721
Divide -139 by 19497.
-139/19497
What is 295 divided by 318557?
295/318557
Divide 570 by 935359.
570/935359
What is -2299898 divided by 94?
-24467
Calculate -137867850 divided by -1531865.
90
-1126896 divided by -16
70431
66 divided by 72780
11/12130
Divide 1 by 10931340.
1/10931340
-58649 divided by 2014
-58649/2014
What is 16935735 divided by -204045?
-83
-26141390 divided by 26141390
-1
What is -7505730 divided by -6?
1250955
Divide 4150403 by -367.
-11309
Calculate 130804344 divided by 20922.
6252
Calculate 6 divided by 5198379.
2/1732793
43049 divided by 1137
43049/1137
Calculate -95922304 divided by 4.
-23980576
-13649643 divided by -21
649983
Calculate -14498244 divided by 3624561.
-4
Calculate -2840880 divided by -67640.
42
What is -631422220 divided by 1372657?
-460
Calculate 3078891 divided by 1026297.
3
Calculate -10602162 divided by -334.
31743
What is 382965030 divided by -2?
-191482515
2 divided by 1042200
1/521100
What is -1134266 divided by 26?
-567133/13
What is -1 divided by 31889406?
-1/31889406
What is -357640512 divided by 24?
-14901688
What is -52695 divided by 93?
-17565/31
Divide 1008 by -158911.
-1008/158911
-20911675 divided by -895
23365
What is -3713248 divided by 6776?
-548
Calculate -1636739 divided by -10.
1636739/10
Calculate -4281372 divided by -1427124.
3
469766895 divided by 13
36135915
-597375 divided by 44
-597375/44
-7111977 divided by -4
7111977/4
-954315 divided by -3
318105
Calculate 25151120 divided by -4.
-6287780
Divide 25 by -300916.
-25/300916
-182159604 divided by -24057
7572
12709032 divided by 1176
10807
What is -19098830 divided by -3819766?
5
Calculate -18408 divided by -1573.
1416/121
What is 140098872 divided by 111?
1262152
2436510 divided by 35
487302/7
What is -3133282 divided by 17?
-3133282/17
What is -103584738 divided by -2?
51792369
What is 38957760 divided by -58320?
-668
Divide -150444640 by -15044464.
10
5058416 divided by -8
-632302
Calculate 119 divided by 142235.
119/142235
Divide -9963828 by -1423404.
7
-5735340 divided by -1755
3268
What is 38077446 divided by -43?
-885522
-20 divided by 196458
-10/98229
Calculate -19304450 divided by 1754950.
-11
What is -115414563 divided by 1551?
-74413
Divide -302398192 by 202544.
-1493
What is 110736344 divided by -2?
-55368172
Calculate 162 divided by -4334224.
-81/2167112
Divide -9942057 by -3314019.
3
Calculate 181061 divided by -90.
-181061/90
Calculate 188996 divided by -2617.
-188996/2617
What is -68017550 divided by 2650?
-25667
-3811324 divided by -3686
1034
10819 divided by -61
-10819/61
Divide -282537332 by -5404.
52283
What is 381875 divided by -15?
-76375/3
What is 2329168 divided by -2384?
-977
Calculate 87465450 divided by -40214.
-2175
-7869636 divided by 162
-48578
What is -11445252 divided by -3815084?
3
Calculate -68 divided by 2611469.
-68/2611469
162260560 divided by 263410
616
-56472475 divided by 4
-56472475/4
8 divided by -220736054
-4/110368027
What is 5058114 divided by 1?
5058114
Calculate -485275050 divided by 165906.
-2925
What is 171731 divided by 1?
171731
-16278162 divided by 6
-2713027
Divide -7693962 by 6.
-1282327
423733 divided by -1949
-423733/1949
76 divided by 292037
76/292037
-2101064 divided by 476
-4414
2714729 divided by 6
2714729/6
221157303 divided by 5
221157303/5
Calculate 114913 divided by 14.
114913/14
Divide -65937088 by -64.
1030267
What is 100293 divided by -30?
-33431/10
What is -153364 divided by -1045?
153364/1045
-21223400 divided by 40
-530585
-455711 divided by -866
455711/866
Divide -243166196 by 131726.
-1846
-8968165482 divided by -6
1494694247
What is 46538580 divided by 108735?
428
What is 1355 divided by -45379?
-1355/45379
Calculate 122557731 divided by 421.
291111
Calculate 99786 divided by 97.
99786/97
73742677 divided by 3
73742677/3
What is -43 divided by 562605?
-43/562605
-180416308 divided by 90208154
-2
What is -4 divided by 23444541?
-4/23444541
2674383 divided by -19
-140757
Divide -5980096 by 17384.
-344
Divide 407447975 by 305.
1335895
Divide 72240132 by -3.
-24080044
What is -24596595 divided by 7515?
-3273
What is -23131160 divided by 4626232?
-5
248 divided by 12848
31/1606
Calculate -55798094 divided by -10862.
5137
What is 6828966 divided by 1138161?
6
What is 544099661 divided by -1?
-544099661
What is -93234 divided by -804?
15539/134
Calculate 14274 divided by -1383.
-4758/461
What is 2597496 divided by 18?
432916/3
Calculate 3416458 divided by -2.
-1708229
Divide -579 by -1457.
579/1457
Divide 10 by 40842.
5/20421
Calculate 157589535 divided by 52529845.
3
Divide -109329507 by 19947.
-5481
Calculate -36248023 divided by -2.
36248023/2
What is -217243380 divided by 15?
-14482892
What is 5 divided by -124653012?
-5/124653012
Divide -293157249 by -2.
293157249/2
Divide 34 by -1247712.
-17/623856
Calculate -303798 divided by 66.
-4603
Divide -7983800 by 110.
-72580
Divide -4 by -71464198.
2/35732099
285525568 divided by -71381392
-4
Divide -121248075 by -40416025.
3
Divide -115954 by 2091.
-115954/2091
What is -11009316 divided by 6?
-1834886
3536166 divided by 589361
6
Divide 7234 by 309.
7234/309
What is 71596669 divided by 2?
71596669/2
What is 43132014 divided by 2?
21566007
What is -1234826826 divided by 6?
-205804471
Calculate 998 divided by -47561.
-998/47561
What is 0 divided by 311619?
0
8823510 divided by -5767
-1530
34871970 divided by -7870
-4431
What is -47779622 divided by -19?
47779622/19
Divide 71949 by 60.
23983/20
47 divided by 4513991
47/4513991
Divide -11490 by 22861.
-11490/22861
Divi | {
"pile_set_name": "DM Mathematics"
} |
*d**3
What is the second derivative of 378795*b**5 + 2651828*b?
7575900*b**3
What is the third derivative of 62587*v**3 - 2*v**2 - 3245*v - 5?
375522
What is the second derivative of -70*x**3 - 561*x**2 - 897784*x wrt x?
-420*x - 1122
Find the third derivative of 3103*z**6 - 33*z**5 - 2*z**2 - 253639*z wrt z.
372360*z**3 - 1980*z**2
Find the second derivative of 70848*y**3 - 54326*y - 2.
425088*y
Find the first derivative of -805609*d - 935754.
-805609
What is the second derivative of 428*b**3*n**2 - 3*b**3*n + 3*b**2 + 15709*b*n**2 + 16 wrt b?
2568*b*n**2 - 18*b*n + 6
What is the derivative of -1436*w**3 + 5*w**2 + 116803 wrt w?
-4308*w**2 + 10*w
Find the second derivative of -r**2*y**3 - 2*r**2*y**2 - 11475*r**2*y - 3*r*y**3 + 41459*r*y wrt r.
-2*y**3 - 4*y**2 - 22950*y
Differentiate 51717*f**2 + 954597 wrt f.
103434*f
Find the second derivative of -8*z**5 + 2*z**4 - 92721*z**3 - 6032813*z wrt z.
-160*z**3 + 24*z**2 - 556326*z
Find the third derivative of -3742*h**2*q**3 + 47*h**2*q**2 - h**2 - 17*h*q**3 + 18*q**2 wrt q.
-22452*h**2 - 102*h
Find the second derivative of 689111*s**4 - 2881*s - 136 wrt s.
8269332*s**2
Find the second derivative of -f**2*s**3 - 8604*f**2*s - 4*f*s**3 - 7849*f*s wrt f.
-2*s**3 - 17208*s
What is the first derivative of 15*s*y**3 + 191*s*y + s - 21440*y**3 wrt s?
15*y**3 + 191*y + 1
What is the second derivative of 27*u**3 + 11141*u**2 - 700688*u wrt u?
162*u + 22282
What is the derivative of 2465*a*g**3 - 3*a*q**3 - g**3*q**3 + g**3*q - 169*g**2*q**3 - 2*g**2 wrt a?
2465*g**3 - 3*q**3
What is the third derivative of -38514*j**4 - j**2 - j + 2366?
-924336*j
What is the third derivative of 293*u**6*w + u**4*w - 2*u**2*w + 11*u**2 - 2*u*w - 11 wrt u?
35160*u**3*w + 24*u*w
Find the first derivative of 1867*h**2 - 4*h + 52789.
3734*h - 4
Find the second derivative of 81*i**3*t**2 + i**3*t - 7554*i**3 - 2*i**2 + 3*i*t - 1885*t**3 wrt t.
162*i**3 - 11310*t
What is the second derivative of 92*u**5*v + 109*u**4*v**3 - 2716*u*v**3 + 4*u*v**2 + 2*u wrt u?
1840*u**3*v + 1308*u**2*v**3
What is the third derivative of n**4 - 49693*n**3 - 14*n**2 - 57762*n wrt n?
24*n - 298158
What is the second derivative of 4227*j**3*w**3 + j**3 + 4*j**2*w**2 + 7466*j*w wrt w?
25362*j**3*w + 8*j**2
What is the first derivative of -14*k**4*m - 24093*k**4 + 127*m + 1088 wrt k?
-56*k**3*m - 96372*k**3
What is the third derivative of 42*y*z**5 + 10*y*z**2 + 2537*y - 194*z**6 wrt z?
2520*y*z**2 - 23280*z**3
Find the third derivative of -2*g**5 - 405167*g**3 - 13896*g**2 - 24 wrt g.
-120*g**2 - 2431002
What is the second derivative of -12297*z**2 + 2*z + 6826 wrt z?
-24594
Differentiate 162*k**3 + 3182*k**2 - 2010306.
486*k**2 + 6364*k
What is the third derivative of 194616*z**3 + 214*z**2 - 2159*z + 2?
1167696
Find the second derivative of -14631*t**2*z**3 - 26551*t**2 - t*z + 4*z**5 - 2*z wrt z.
-87786*t**2*z + 80*z**3
What is the first derivative of 161722*v**2 - 39173?
323444*v
What is the third derivative of 115576*i**4 + 2*i**2 - 15705*i - 1?
2773824*i
Find the third derivative of -j**4 + 31726*j**3 + 51*j**2 - 21*j + 70 wrt j.
-24*j + 190356
What is the third derivative of -7106*c**3*m**3 + 5*c**3*m**2 + 2*c**3 + c**2*m**3 + 1038*m**3 - 11*m**2 + m wrt c?
-42636*m**3 + 30*m**2 + 12
What is the derivative of -i*m**2 + 6*i*m - 260429*i - 3*m**2 + 170*m wrt m?
-2*i*m + 6*i - 6*m + 170
What is the first derivative of 501205*n*p**3 - 1419*p**3 - p**2 - 6 wrt n?
501205*p**3
What is the third derivative of -213*o**6 - 4*o**5 - 12*o**4 + 1016*o**2 + 4*o wrt o?
-25560*o**3 - 240*o**2 - 288*o
What is the third derivative of -m**4 + 278737*m**3 + 8459*m**2 - 6?
-24*m + 1672422
Find the second derivative of 1004*p**3 - 79*p**2 - 351*p + 866 wrt p.
6024*p - 158
Find the first derivative of -105552*j*k**2 - 2*j*k + 4*k**2 - 2619 wrt j.
-105552*k**2 - 2*k
Find the second derivative of -964446*f**2 - 357641*f.
-1928892
Find the third derivative of -5*o**2*u**6 + 3*o**2*u**2 + 401*o**2 + 701*o*u**6 + o*u**2 wrt u.
-600*o**2*u**3 + 84120*o*u**3
What is the second derivative of 166635*p**2*u + 6380*p*u + p - 5*u - 2 wrt p?
333270*u
What is the third derivative of -28875*f**3 + 7638*f**2 wrt f?
-173250
What is the derivative of -82801*n - 133995?
-82801
What is the second derivative of -716836*w**3 - 2*w**2 - 887778*w?
-4301016*w - 4
Find the third derivative of 51810*t**3 - 1149*t**2 - 15*t wrt t.
310860
What is the second derivative of -18101*d**4*s - 3*d**3 + 2*d*s - 41896*d wrt d?
-217212*d**2*s - 18*d
Find the second derivative of 1560769*t**2 - 1374956*t wrt t.
3121538
Differentiate -855*h**2*i**3 + 51*h**2*i**2 - 47*i**3 - 2*i**2 + 58 with respect to h.
-1710*h*i**3 + 102*h*i**2
What is the second derivative of 7*w**2*z**3 - 2*w**2*z - 167*w**2 + 13127*w*z + z**3 wrt w?
14*z**3 - 4*z - 334
What is the derivative of 47*b**4*y - b**3 - 712*b*y**2 + 1050*y**2 - 99 wrt b?
188*b**3*y - 3*b**2 - 712*y**2
Differentiate 2137650*x**3 + 1448238 with respect to x.
6412950*x**2
Find the first derivative of -49120*x**2 - 49613 wrt x.
-98240*x
Find the second derivative of -5259358*z**4 + z**2 - 79968*z - 10 wrt z.
-63112296*z**2 + 2
What is the derivative of -3*a**2*w + 2*a**2 - 2*a*w - 84*a + 259*w - 197 wrt a?
-6*a*w + 4*a - 2*w - 84
What is the third derivative of b**3*g**3*u**3 + 7*b**3*g**3*u**2 - b**3*g*u + b**3*u**2 + b**2*g - 214*g**3*u**2 + 55*u**3 wrt u?
6*b**3*g**3 + 330
What is the first derivative of -46381*p**2 - 263624?
-92762*p
What is the first derivative of -788*f*s + 28*f*z**3 + 2*s*z**3 - 7*s*z - 2*z**3 + 42*z wrt f?
-788*s + 28*z**3
Differentiate -5*n*v**4 + 36612*n*v**2*x**2 + 4342*n*x**2 + n*x - 6*x wrt v.
-20*n*v**3 + 73224*n*v*x**2
Find the second derivative of -1242*q**5 - 2*q**2 - 48314*q wrt q.
-24840*q**3 - 4
What is the third derivative of 207049*w**3 - 110076*w**2 - 2*w wrt w?
1242294
Find the third derivative of c**3*x**3 - 6*c**3*x**2 - 434*c**3*x - 4*c**3 - 274456*c**2*x + 2*x**3 wrt c.
6*x**3 - 36*x**2 - 2604*x - 24
What is the first derivative of -6*k**2*n + 87*k**2 - 11*k*n + 123*k + 310*n - 1 wrt n?
-6*k**2 - 11*k + 310
What is the second derivative of -873*b**2*i**3 - 3*b**2*i - 64*b**2 - b*i**3 - 734*b*i - 416*i**3 wrt b?
-1746*i**3 - 6*i - 128
Find the first derivative of -23060*k**3 + 54985.
-69180*k**2
Differentiate 2*h**4*v**2 - 36870*h**2*v**3 + 34845*v**3 wrt h.
8*h**3*v**2 - 73740*h*v**3
Find the first derivative of 4*h*p + 91*h + 136949*p + 6498 wrt p.
4*h + 136949
Differentiate 127121*i + 800615.
127121
Differentiate 8*b*l*z - 564797*b*l - 37125*b*z - l*z**2 - 2*l - 2*z**2 with respect to z.
8*b*l - 37125*b - 2*l*z - 4*z
What is the second derivative of -2213327*i**2 + 732401*i wrt i?
-4426654
Find the first derivative of -3*c**2 - 672*c - 46147.
-6*c - 672
Differentiate 14441*d**3*u**2*w - 62*d**3 - d**2*w - 12*d*u**2*w - 3*d*w - 1261 wrt u.
28882*d**3*u*w - 24*d*u*w
What is the first derivative of -42988*k**4 + 5*k - 627682?
-171952*k**3 + 5
What is the third derivative of 130294*i**4 + 41643*i**2?
3127056*i
What is the second derivative of 10*l*o*q**2*y**2 - l*o - 35*l*q**2*y**2 + 102*l*y**2 - 2*o*q + 5*q*y**2 wrt q?
20*l*o*y**2 - 70*l*y**2
What is the first derivative of 8*d*l**2*y*z - d*l**2*y + 20*d*l**2 - 307*d*y + 17*d*z - 5*d - 2*l**2*y + 388*l**2*z wrt z?
8*d*l**2*y + 17*d + 388*l**2
What is the first derivative of 462*z**2 + 2*z + 235566?
924*z + 2
Find the third derivative of -290275*w**5 - 346091*w**2.
-17416500*w**2
Differentiate -q**2 + 13469*q + 7417.
-2*q + 13469
Find the second derivative of 21423*j**2 + 4892*j - 4 wrt j.
42846
What is the third derivative of 22*a**4*g**3 + 2*a**3*g**3 + 159*a**3 - 6796*a**2*g**2 - 19*a*g**3 wrt a?
528*a*g**3 + 12*g**3 + 954
What is the second derivative of 102*v**3 - 7*v**2 - 2*v + 5822 wrt v?
612*v - 14
Differentiate -36530*y**3 - 28175 with respect to y.
-109590*y**2
What is the derivative of 152639*k**2 - 131584 wrt k?
305278*k
What is the third derivative of 2*u**3*w**2 - 8*u**3*w + 772*u**3 - u**2*w**2 - 93*u**2*w + u**2 - u*w**2 + 147*u*w wrt u?
12*w**2 - 48*w + 4632
Find the second derivative of 98365*i**2 - 59731*i.
196730
Find the third derivative of 4542*u**6 + 23949*u**2 wrt u.
545040*u**3
Find the third derivative of 1569466*o**6 - 3*o**2 + 250908.
1 | {
"pile_set_name": "DM Mathematics"
} |
- l = k*n - t for n.
2
Let v be 3/1*(-4)/(-3). Let f = 920 + -1473. Let m = f + 555. Solve -v*s - 10 = -2*w, -m*s + 13 = 4*w - 3*s for w.
3
Let v = 1450 - 2328. Let m = v + 883. Solve r - 5 = -c, 4*c = -m*r + 3*r + 18 for r.
1
Suppose -1364 = -12*w - 344. Let b = -150 + w. Let q = b - -77. Solve 3*c + j = -2, 0 = 4*c - 0*j + 5*j - q for c.
-2
Let k(y) = -y**2 + 2*y + 7. Let i be k(-1). Solve 0*v - 3*w = -3*v - 9, -i*v - 5*w = 12 for v.
-3
Let d(t) = 3*t**2 - 7*t + 2. Let r be d(2). Suppose 8 = -2*c, 4*x + 0*x - 3*c - 20 = r. Solve 0*n + x*o = 5*n + 30, 2*o = -3*n - 2 for n.
-4
Let z be (-13 - -9)/((-4)/(-14)). Let a be z/(-4)*(-748)/(-119). Let l(f) = -76*f + 460. Let u be l(6). Solve -3*i - 2*m = -a, -u*m = 5*i - m - 35 for i.
4
Let g = 560 - 570. Let v be 10 + g/(-6)*-3. Solve 0 = 2*t + 3*a - 16, -3*t + 4*t = 5*a - v for t.
5
Let r be (-14 - (0 + -18)) + -4. Solve 4*s + 10*v = 5*v - 20, r = 4*s + 2*v + 8 for s.
0
Suppose 0 = -4*h + 8. Let b(j) = -j + 7. Let g be b(4). Suppose -9*o + 5*o = 2*y - 14, 2*o + 8 = 4*y. Solve -h*k = g*w + 4, 3*k - 8 = -o*k - 3*w for k.
4
Let u(l) = -5*l. Let v be u(-1). Let t = 37 - 74. Let r = t + 39. Solve -4*y - 30 + 4 = -r*p, 5*p + 5*y = v for p.
5
Suppose 41 = -4*b + 5*m + 78, 4*b + 3 = -3*m. Solve 2*q = -3*h + 5, b*h - 1 = 2*q - 3*q for h.
-1
Let o be 88/352 - (-141)/12. Solve -o*a + 4*y - 28 = -8*a, 0 = -a + 5*y - 19 for a.
-4
Let g = -5383 + 5418. Solve 2*u - 4*d = 10, -7 = -3*u - g*d + 33*d for u.
3
Let q(g) = g**3 + 10*g**2 + g + 13. Let f be q(-10). Suppose 8*t - f = 7*t. Let m be 3 + (-2 + t)*29. Solve 5*j - 4 = -4*y, 3*y = 5*j - 0*j - m for y.
-4
Let f(s) = -31*s + 255. Let g be f(-40). Let x be (g/117 - 9) + 2/9. Solve -4*a + 3*d = -5*a + 5, 0 = -4*a + 4*d + x for a.
2
Suppose 46*k + 294 = 846. Solve 3*c + k + 15 = 3*v, 3*v + 2*c = 2 for v.
4
Suppose 5*j + 3*a = 77, -3*a - 6 + 3 = 0. Solve 8 = -f - 11*o + 14*o, 5*o = 3*f + j for f.
-2
Let x be (-65)/39*(-42)/14. Let f be (-2)/(-3) + 10/3. Suppose 0 = 3*h - l + 4*l - 3, -5*h - f*l = -6. Solve 0 = h*n + x*u + 27, -n + u + 19 = -3*u for n.
-1
Let i = -2133 + 2137. Solve f = -2*f - k - 9, 0 = i*f - 3*k - 1 for f.
-2
Suppose 3*o - 5 - 4 = 0. Solve -2*x = -2*d + 6, o*x + 1 = -2*d + 7 for x.
0
Suppose -1765 = -461*y + 1756 - 1216. Solve 4*x = -x + 15, -y*a - 29 = -3*x for a.
-4
Let n = -164 + 245. Suppose -5*w = -4*z - 2 - n, -2*z + 6 = 0. Suppose 4*h - w = 2*r - 3*r, 2*h - 2 = -2*r. Solve -4*i = -3*j - 4, -2*j + 2*i = i + h for j.
-4
Let b be (-1)/(-2) + 12/8. Suppose -s - 2*n = n - 10, b*n = -6. Suppose 48 = 4*f + 3*k, 3*f + 0*f - 2*k - s = 0. Solve 2*w = x + 1, -4*w - 3*x = -f - 18 for w.
3
Let x = 178 + -54. Suppose -118*w = -x*w + 24. Solve 1 - 13 = -4*f - 5*u, 0 = -w*f + 5*u + 12 for f.
3
Let q(l) = l + 5 - 3*l - 4 + 12*l**3. Let j be q(1). Suppose -j*k + 56 - 12 = 0. Solve 0 = -k*z - 3*n - 22, -18 = 3*z - 3*n + 6*n for z.
-4
Let n(a) = a**2 + 22*a + 71. Let m be n(-20). Suppose 44*g - m*g - 26 = 0. Solve -g*o - 3*x + 17 = -3*o, -3*o - 2*x = 7 for o.
-5
Let p be 9 - ((-54)/(-81))/(3/18). Solve -5*m + p*b + 25 = 0, 30*m = 31*m - 5*b - 1 for m.
6
Suppose p - 4*a = -13, 2*p - 6*p = -3*a. Suppose 2*h - p = 1. Solve 4*r = h*i - 6, -3*r - 57 = 5*i - 20 for r.
-4
Let a = -6 + 10. Suppose 0 = h - 0*h + 15*h. Suppose -14*c + 8*c + 48 = h. Solve -2*i - 8 = 0, -a*d = -2*i + i + c for d.
-3
Let h be (63/14 + -3)/(1/44). Suppose 0*y = -5*y - 3*j + 82, 4*y + 2*j = h. Solve -2*w = 4*f + 10, 3*w - y = 4*f + 18 for f.
-5
Let z = 1851 + -1851. Solve 4 + z = u - q, -2*u + 8 = -q for u.
4
Let k = 371 + -168. Let s = k - 173. Solve 4*w = 2*v + 3*v - s, v - 5*w = 27 for v.
2
Suppose 125*r - 237 = 13. Solve -5*q + p + 4 = 0, q - r*p = p + 12 for q.
0
Suppose 7*d + 7 - 12 = 16. Solve -5*q = 3*x - 4, -d*q + 29*x - 26*x = -12 for q.
2
Suppose -32*w + 37*w = 35. Suppose -2*n = w*n - 27. Solve 2*t - 6*t + 18 = -z, 5*z + n*t - 2 = 0 for z.
-2
Let q(y) = 2*y**3 - 8*y**2 - 10*y + 5. Let m be q(5). Solve -5*p + m = i, -4*p = 8*i - 3*i - 25 for p.
0
Suppose -q - 2*w + 31 = 0, 4*q - 97 = -2*w + 3*w. Let f(j) = -j**3 + 2*j**2 + 16*j + 19. Let n be f(-2). Solve 34 = -n*t - 3*h + 4, -2*h = 3*t + q for t.
-5
Suppose 4*v - 50 = -22. Let s be 12/v + 18/63. Solve -j = w + 1, -s*w + 0*w - 8 = -j for w.
-3
Suppose 15 = -2*x - 81. Let d = -48 - x. Suppose d = 3*h + 6 - 21. Solve 15 = h*q - 4*i, -3*q - 3*i = -0*q - 9 for q.
3
Let l(c) = -125*c - 998. Let f be l(-8). Let o = 9 + -17. Let m be (o/(-10))/((-4)/(-50)). Solve -5*s - m = 3*v, 0*v - v + f*s + 4 = 0 for v.
0
Let d be 542/((-5)/((-25)/10)). Let y = 187 - d. Let l be (-396)/y + (-4)/(-14). Solve 0 = l*n + 20, -4*n = k + 3*k for k.
4
Let y(n) = -14*n - 5*n**2 + 12*n**2 - 3*n + 115 - 8*n**2. Let x be y(-22). Solve -4*d + 0*z + x*z = 35, 0 = 2*d - 3*z + 19 for d.
-5
Suppose 0 = -7*l - 417 - 1403. Let j be 8*(l/(-16))/13. Let a = -2 + 2. Solve 2*s = 2*o - s - 4, -4*o - 3*s - j = a for o.
-1
Let y = 221 - 217. Solve -v - y = 5*q, -8 = 2*v - 5*q + q for v.
-4
Let y = 2 - 0. Suppose -2*t - 3 = -4*h - 1, -4*t - y*h + 26 = 0. Suppose 7*m = 10*m. Solve -2*x - 10 = a, m = x - a - 2*a + t for x.
-5
Let u = 125 - 101. Suppose -u*i - 10 + 34 = 0. Solve 0 = -3*c + n + i - 0, c - 3*n + 5 = 0 for c.
1
Let w = -20709 - -20711. Solve -w*z + 3*q + 6 = 0, 25*q = -5*z + 28*q + 6 for z.
0
Let l(g) = -299*g + 602. Let i be l(2). Solve k - 7 = -i*m, 5*m + 4 = 4*k - 3 for m.
1
Suppose d - 6 = 4*n, 4*n - 432 + 444 = 2*d. Solve 3*w - 47 = -3*a - 41, n = -w + 4*a - 8 for w.
0
Suppose -3202*y + 72 = -3166*y. Let d = 12 - 8. Suppose 0 = 2*s + 4, d*c - s - 5 = 5. Solve 5*o - y = -c*t - 12, t - 8 = 4*o for t.
0
Suppose 2*y = 5*y - 3*n + 3, 5*y - 4*n + 4 = 0. Suppose 90*o - 96 = -107*o + 298. Solve -i = -y*i - o*a + 4, a = 2 for i.
0
Suppose -617 - 83 = -4*t. Suppose -t = 5*u - 12*u. Suppose -3*g = -5*n - u, -4*g - g + 2*n = -10. Solve 4*o + 3*l = -14, 0 = -4*o + l - g*l - 22 for o.
-5
Let y(a) = -4*a**2 + 12*a + 2. Let j be y(3). Suppose -73 = 4*i - 493. Let b be 21/i + 1/(-5). Solve 0 = -b*z - 3*z + 6, -h = -j*z for h.
4
Suppose -n - 2*n + 3*p + 18 = 0, p = -2*n + 6. Suppose n*m - 2*c = c + 20, -10 = -2*m + 4*c. Solve m*o = -4*b - 11 - 13, -b + 2*o + 7 = 0 for b.
-1
Suppose 4*y + 3 = 31. Let w be (y - 2)*(-6 + 5). Let x be (10 - 6)/(-2 + w/(-2)). Solve 4*f + 25 = -5*r, x*f + r + 21 = 4*f for f.
-5
Let g = -11499 - -11499. Solve g = -r, -9*p = -12*p - 3*r for p.
0
Suppose 0 = 7*t - 4*t - 6. Let u be (t + -2)/(-11 + 14). Suppose 0 = y - 3*b + 4*b - 7, u = 5*y + 2*b - 23. Solve -y*d = -4*l - 2 + 3, -2*l = 4 for d.
-3
Let y(b) = b**2 + 2*b + 1. Let j be y(-5). Suppose 2*c - 2532 - 142 = 0. Let r = 1341 - c. Solve -2*m = 2*s + r, 4*s - 2*m + j = s for s.
-4
Suppose 0 = -4*o - 1 - 3. Let t be o + 0 - (1 + -8). Suppose 4 = k - 2*z, -z + 4*z + t = 3*k. Solve 3*a + 7 = -a - 5*l, k = -2*a + 5*l + 19 for a.
2
Suppose -47*p = 16 - 16. Solve p = -5*t - 38 + 23, 5*t = -i - 13 for i.
2
Let o(h) = -4*h**3 + 32*h**2 - 18*h + 15. Let t be o(3). Solve 2 = -t*g + 139*g, 4*g = 3*v - 10 for v.
2
Let b(p) = 6*p**3 + p**2 + p - 3. Let f be b(2). Let g = -20 + f. Let i = g + -26. Solve -4*z - 10 = i*m - 0*m, 2*m + z = -1 for m.
2
Suppose w = -p, -11*p - 23 = -4*w + 22. Solve 0 = 2*g + 3*i - 1, -4*g + 5 = -w*i + 12 for g.
-1
Suppose 85*m = 75*m. Let v = 9 - 21. Let t be v/(-2) + -1 - 0. Solve -5 = -t*h - 4*y - 0, 2*y = m for h.
1
Suppose -5*t = -14*c - 64, 5*t + 5*c = 43 + 2. Solve -5*a = -9*k + 6*k - 10, -t = -2*k for a.
5
Suppose -3413*a = -3404*a + 88 - 214. Solve 2*o + 5 = -5*c - 0, -a = 2*o - 4*c for o.
-5
Let n = -67 + 164. Let u = 99 - n. Let d be 1 - (20/(-5) - (u - 3)). Solve -g - d*j = g - 20, 3*g + 2*j = 18 for g.
4
Let j(t) = -t**2 - 44*t - 225. Let n be j(-38). Suppose -o - 3 = 4*f + 3, 2*o = 5*f + 14. Solve -o*x = 5*i + 15, -n*i - 11 = 2*x - 2 for i.
-3
Let h be 4/((-10)/2*92/(-460)). Solve 5*r = -5*m - h + 9, 3*r + m - 3 = 0 for r.
1
Let t be (-4 - -3)*(13 - (51 + -8)). Solve 5*l - t = -2*z, 0 = 2*l - l + 4*z - 24 for l.
4
Suppose 10 = 5*v - d, 2*d + d + 10 = 5*v. Suppose 2*r - 2 - v = 0. Suppose -5*i + r*j = j - 31, -5 = 5*j. Solve -i = 5*k + 3*y - 1, -y = -5*k - 5 for k.
-1
Let k(t) = 3*t**2 - 8*t - 14. Let x be k(4). Let z(h) = -19*h - 247. Let r be z(-14). Solve x*i - 3*c | {
"pile_set_name": "DM Mathematics"
} |
on divisor of v and 744.
8
Let t(j) be the third derivative of 0 + 0*j - 2*j**2 - 13/24*j**4 - 2/3*j**3. Let r be t(-4). What is the greatest common divisor of 6 and r?
6
Let d(x) = 29*x**2 + x + 145. Let b be d(-6). What is the greatest common factor of 14 and b?
7
Let o(b) = -3*b - 19. Suppose p = 2*g - 18, p - 4*g = 4*p + 4. Let r be o(p). Suppose -55 = -x - 10. Calculate the highest common divisor of r and x.
5
Let a(h) = -h**2 - 11*h + 7. Let g be a(-10). Let b be (-2)/4 + 95/2. Let o = b - g. Calculate the highest common factor of o and 12.
6
Let f = -3060 - -3080. Let m(p) = -p**3 + p - 4. Let o be (1 - 1) + 0 + -3. Let d be m(o). What is the highest common factor of f and d?
20
Suppose -2 = -x, -z + 3*z + 3*x - 28 = 0. Let y be z/(-2 - (-3 + 0 + 0)). What is the greatest common factor of y and 88?
11
Suppose -2*b + 30 = -3*b. Let p = -6 - b. Calculate the greatest common factor of p and 40.
8
Let v(k) = -5*k**3 - 5*k**3 + 9*k**3 + 12*k**2 + 12*k + 17. Let o be 54/4 - 1/2. Let f be v(o). What is the greatest common factor of 8 and f?
4
Suppose -3*u + 3722 = 7*x - 6*x, 0 = -3*u + x + 3724. What is the highest common divisor of 17 and u?
17
Let u(k) = 2*k**2 + 2*k - 3. Let d be u(3). Suppose -2*c + 3*x + 0*x = -51, 3*c - 72 = 3*x. Calculate the highest common divisor of d and c.
21
Let p(n) = 2*n + 1. Let w(y) = 2*y + 2. Let r(c) = -4*p(c) + 3*w(c). Let x be 0/(1*6*12/18). Let z be r(x). What is the highest common factor of 5 and z?
1
Let d = 71 - 46. Let h be d*1/15*-3*-8. Suppose -4*b = -3*g + 48, -g = -4*g - 4*b + 72. What is the highest common divisor of h and g?
20
Suppose 5*p + 0*g + 4*g = -38, 2*p + 20 = -4*g. Let h be (p/8)/((-1)/124). Calculate the highest common divisor of h and 31.
31
Let j(n) = -n**2 - 11*n + 14. Let t = -111 - -99. Let b be j(t). Let l = 0 - -3. Calculate the greatest common divisor of l and b.
1
Let n(o) = -o**2 + 8*o + 5. Let b be n(0). Suppose 4*v + 5 = 5*f, b*f + 2*v + v = 40. Let c = 168 - 113. Calculate the greatest common divisor of c and f.
5
Let l = -46 - -895. Let b be l/11 + (-4)/22. Suppose -5*u = b - 217. What is the highest common factor of u and 4?
4
Suppose 2 = k - 1. Let a be (-1)/((-45)/21 - -2). Let l be 6*(-1)/a*-28. What is the greatest common factor of l and k?
3
Suppose 0 = 3*b - 0*b - 54. Suppose b - 6 = -3*d. Let i be d/(-6) - (-441)/27. Calculate the highest common factor of 17 and i.
17
Suppose -4*g - 3*g + 14 = 0. Suppose 0 = -4*q + 2*z + 3*z + 129, -2*q + 66 = -g*z. Calculate the highest common factor of q and 9.
9
Let r(m) = m**2 + 11*m - 8. Let j be r(-12). Suppose 0 = -2*o - j + 34. Let n(g) = -g + 3. Let h be n(0). What is the greatest common divisor of o and h?
3
Let h(b) = -12*b - 24. Suppose 3*s = 2*w - 3, 2*w - 2*s + 6 - 4 = 0. Let x be h(w). What is the greatest common factor of x and 16?
16
Let z = -21 - -21. Let p be 1 - (-23 + (z - -2)). What is the highest common factor of p and 11?
11
Let u be 1*(-1)/4*0. Suppose 4*m - 117 + 21 = u. Let h be 1/4 - (-62)/8. What is the greatest common divisor of m and h?
8
Let n(j) = -j**2 + 4*j + 4. Let a be n(4). Suppose -a = -2*f + 2. Let y = 3 + 3. Calculate the greatest common factor of f and y.
3
Suppose -2*b + 30 = -322. Suppose 0*z = -z - 44. Let f = -28 - z. What is the greatest common divisor of f and b?
16
Let c = 343 + -255. Calculate the greatest common factor of c and 242.
22
Let t be (-205 + 10)/(-1*3). What is the greatest common divisor of 10 and t?
5
Suppose 37 = b - q, 2*q = b - 6*b + 171. Let t = 4 + b. Calculate the highest common divisor of t and 117.
39
Let s(z) = z + 33. Let n be s(21). What is the highest common divisor of n and 3?
3
Suppose 0 = b - 5*v - 11 - 2, -b + 9 = -v. Let a be 4/10 - b/20. Suppose -w - 3*r = -50, a*w = w - 5*r - 34. Calculate the greatest common factor of 11 and w.
11
Let o(k) = -5*k - 57. Let x(p) = p**3 - 8*p**2 + 5*p + 1. Let j be x(7). Let n be o(j). What is the highest common divisor of 136 and n?
8
Suppose 2*g + 2*m = -6 - 0, g - m - 7 = 0. Let j be (6*4/(-8))/((-24)/112). What is the greatest common factor of g and j?
2
Let g = -17 + 30. Let p be 58*6 + 0/(-8). Let n be p/4 + 8/2. What is the highest common factor of g and n?
13
Let n(z) = -z**3 + 20*z**2 + z. Let c be n(20). Suppose 24*k - 928 = c*k. Calculate the greatest common factor of 29 and k.
29
Suppose y + 2 = -9. Let k = 20 + y. Let t be (-1)/(-5) + 1513/85. Calculate the greatest common divisor of k and t.
9
Suppose 2600 = -1740*x + 1748*x. What is the greatest common factor of x and 520?
65
Suppose -180 = 62*j - 64*j. Let d(p) = p**3 - 9*p**2 + 20*p + 6. Let u be d(6). Calculate the greatest common factor of j and u.
18
Let w be ((-4)/6)/((-2)/72). Let q = 627 + -621. Calculate the highest common factor of q and w.
6
Suppose 309*l = 312*l - 12. Suppose -5*o - 178 = -5*d + d, l = -2*o. Calculate the greatest common divisor of 18 and d.
6
Suppose -2*b - 8 = -0. Let z(k) = -15*k - 6. Let d be z(b). Suppose 2*a = 4*x - 3*a - 24, -2*a = -2*x + 12. Calculate the highest common factor of x and d.
6
Suppose -98 = -2*b - 364. Let r = b + 159. What is the highest common divisor of 91 and r?
13
Let x = -1218 + 1377. What is the highest common factor of x and 212?
53
Suppose 0*t = -t + 3*u + 11, 2*t + 5*u = -11. Suppose 0 = 3*y + 3*f - 30, -t*y + 5*f + 36 - 9 = 0. Calculate the highest common divisor of y and 2.
1
Suppose -3*y + 4*j = 10 - 26, 0 = 4*y - j - 43. Suppose 8*i - 5*i - 3 = 0, 0 = -3*t + 2*i + 25. What is the highest common divisor of t and y?
3
Suppose -3*p - 56*n = -57*n - 26, 4*n = 5*p - 41. What is the greatest common factor of p and 36?
9
Let q = 41 + -31. Suppose -7*t + 46 + q = 0. Calculate the greatest common divisor of 4 and t.
4
Let b(d) = 11*d**2 + 13*d + 4. Let p be b(-2). Calculate the highest common divisor of 22 and p.
22
Suppose -4*h + 2*z - 4*z = -152, -4*h + 5*z + 124 = 0. Calculate the greatest common divisor of 351 and h.
9
Let c(w) = w - 3. Suppose -g + 26 = -5*f + 2*g, 3*g = -4*f - 37. Let b be c(f). Let h = 15 + b. What is the highest common factor of 40 and h?
5
Let z be (-3)/((-15)/(-5)) - 85/(-5). What is the greatest common divisor of 176 and z?
16
Let y = 720 + -369. What is the highest common factor of y and 78?
39
Let b(g) = g**3 + 7*g**2 - g + 15. Let m be b(-7). Let h be -4 + 5 + -3 - -35. What is the greatest common factor of h and m?
11
Let i = -83 - -86. Suppose -4*h - i*o + 742 = -o, 739 = 4*h + o. Calculate the highest common factor of h and 23.
23
Let r be (-3)/(((-45)/(-258))/5). Let a = -11 - r. Calculate the highest common factor of 30 and a.
15
Let m = -202 + 283. Let t = -79 + m. What is the greatest common divisor of 8 and t?
2
Let z = -2341 + 2411. Calculate the greatest common divisor of z and 410.
10
Let u be (10/10)/((-2)/(-24)). Suppose 0 = -a - a - u. Let n(x) = x**2 + 5*x + 5. Let s be n(a). What is the greatest common divisor of 11 and s?
11
Let k be ((-12)/9)/(19/(-18) - -1). Calculate the greatest common factor of 300 and k.
12
Suppose 80 + 48 = 4*m. Suppose 7 + 5 = -4*s. Let g be s/15 - 723/(-15). What is the greatest common divisor of m and g?
16
Suppose 0 = -2*k + 293 + 847. Calculate the highest common factor of k and 30.
30
Let j = -493 - -543. What is the greatest common factor of 275 and j?
25
Let b(n) = n**2 + 1 - 5*n + n + 2*n. Let z(f) = -f + 5. Let h be z(3). Let c be b(h). What is the greatest common factor of 7 and c?
1
Let h(c) = 15*c - 5. Let w be h(7). Suppose 5*p - w = p. Suppose 0*v = -5*v + p. Calculate the highest common divisor of 35 and v.
5
Suppose 0 = -19*f - 319 + 1383. Suppose -6*w - f = -128. Let v = 7 + -3. Calculate the highest common factor of w and v.
4
Let s = -18 - -95. Let z be (-8)/(-20) - 66/(-10). Calculate the highest common factor of z and s.
7
Let t(o) = 3*o - 5. Let k be t(7). Suppose -i = -8 + k. Let x = i - -15. Calculate the highest common factor of 7 and x.
7
Let h be (-8)/(-1 - 2/(-6)). Let r be (-3)/h + (-18)/(-8). Let z(l) = 2*l**2 - 3*l. Let f be z(2). What is the highest common divisor of r and f?
2
Suppose -180 = -4*x - 39*y + 43*y, -3*y + 180 = 4*x. Calculate the highest common factor of x and 378.
9
Let w = 7 + 13. Suppose -5*l + l + w = 0. Suppose -l = 2*g - 17. What is the highest common divisor of 3 and g | {
"pile_set_name": "DM Mathematics"
} |
(b) -0.2 (c) -0.1
a
Let g be (0 + -1204)*2/36. Let r be 4/10 - 1332/(-20). Let a = g + r. What is the closest to 0 in a, -0.5, 5?
a
Let q = -3 - -1. Let l be (1 - 3)/q - 1. Which is the closest to l? (a) -0.5 (b) -4 (c) 0.3
c
Let k = -9 + 8.9. Let r = -6/911 - -16464/10021. Let u = r - 76/33. Which is the closest to 0? (a) k (b) u (c) -5
a
Suppose 0 = -7*t - 2 - 5. Which is the nearest to -2/3? (a) t (b) 4 (c) 9
a
Let y = 5/6 + -1/2. Let k be (-9)/(-4) + 0 + -2. What is the closest to k in y, 1/5, 0.1?
1/5
Let a = 0.1 + -5.1. What is the closest to 2/5 in a, 1, 2/7?
2/7
Let u be 0*(-5)/(-30)*3. Which is the closest to u? (a) -0.5 (b) 5 (c) -2
a
Let o = -3.94 - 0.06. Let r = o - -3.5. Let z = r + 0.9. What is the nearest to 0 in 0, -4, z?
0
Let p = -5.4 + 5. Let v be (5 - 3) + (-3)/(-1). What is the closest to 0 in v, p, 2/11?
2/11
Suppose -4*h = -0*h. Let l = 0 - 0.5. Which is the nearest to 1? (a) h (b) l (c) -0.3
a
Let m be 1 + (-2 - -3) + 0. Suppose 1 = 3*t - m. Let f be 75/(-20) + t/(-4). Which is the nearest to 0.1? (a) 0 (b) -0.3 (c) f
a
Let s = 0.03 + -0.13. Let u be 1 - (1 - 6/33). What is the closest to -0.1 in s, 3, u?
s
Let v = -7 - -7.1. Let w be (-1 - 2 - -3)/(-3). Let y = -1.5 + 1. Which is the nearest to w? (a) -4 (b) y (c) v
c
Let i be (-9)/2 - (-2)/4. Let l = 14 + -9. Which is the closest to 5? (a) -1/5 (b) l (c) i
b
Let z(c) = c**2 + c. Let b be 0/(-1) - (0 + 2). Let v be z(b). Let a = 2.8 - 2.9. What is the closest to 1 in v, -2, a?
v
Suppose 4*v = -10 - 6. Let r be (-2)/v + (-4)/(-8). What is the nearest to r in 0.5, 1, 0?
1
Let h = 52.1 - 52. Let l = 13 - 41/3. Which is the closest to h? (a) l (b) -5 (c) -4
a
Let b be (-1)/12 + (-2)/8. What is the nearest to b in 3, 5, -0.2?
-0.2
Let w = -3 - 5. Let n = w + 13. Let j = -23 - -23.5. Which is the closest to 0? (a) n (b) j (c) -3/2
b
Let v be 10/104 + 24/156. What is the nearest to 2 in -3, 0.4, v?
0.4
Let p = -6 - -5.8. Let g = 0.1 - 0. Which is the closest to g? (a) -1 (b) p (c) 3/2
b
Let g = 2 + -2.1. Which is the closest to 1? (a) g (b) 4 (c) 5
a
Let l = -20 - -19. What is the closest to 1/4 in -2, 0.2, l?
0.2
Let z = -50 + 51. Let p be ((-6)/(-225))/(1/(-5)). Which is the closest to 1? (a) z (b) -3/2 (c) p
a
Let g = -267/5 - -53. What is the nearest to g in -3, 0.08, 0.1?
0.08
Let k = 4.169 + -0.169. Let t = 0 + -2. What is the nearest to t in 2, k, -1?
-1
Let p = 8 + -7.6. Which is the closest to p? (a) -0.2 (b) -2 (c) 0.2
c
Let p = -55/7 + 57/7. Which is the closest to 5? (a) 0 (b) p (c) -4
b
Let m = 31/7 + -169/35. Suppose -45 = -5*i - 2*k, -3*i - 6 + 42 = 3*k. Let f = i - 4. Which is the nearest to -0.2? (a) f (b) 3/7 (c) m
c
Let w be (-2)/8 - (-38)/(-8). Let u = -356/3 + 118. Let i be (-2)/7 + 0/(-2). Which is the closest to 2? (a) u (b) w (c) i
c
Let p = 39 - 44. Which is the closest to -0.2? (a) 0 (b) p (c) 1/2
a
Let a be -1 - (-1)/(-1) - 1. Let i = -0.09 + -0.01. Let o = 0.1 + i. What is the nearest to o in -1/2, a, -1/4?
-1/4
Let o = -0.3 + 0.5. Let w(c) be the first derivative of -c**3/3 + c**2/2 - 3*c - 1. Let n be w(0). What is the closest to o in 3, -1/2, n?
-1/2
Let j = 0.034 + -0.034. Let z be 4/(-6) - 5/(-12). What is the nearest to j in z, -1/11, 1?
-1/11
Let k(r) = -r**3 + 5*r**2 - 4*r - 1. Let f be k(3). Suppose f*u = -4 - 1. Let t = 27 - 191/7. Which is the nearest to t? (a) u (b) -4 (c) 1/4
c
Let t = 172 + -1206/7. Let q(r) = 2*r**2 + 3*r - 2. Let d be q(-2). Let m = -3 - -2.7. What is the closest to t in -4, d, m?
m
Let i = -9 + 7. Which is the nearest to -2? (a) i (b) -1 (c) -5
a
Let s = -1 + 2. Let p = 0.36 - 5.36. What is the nearest to s in 2/3, p, 5?
2/3
Let f = 2.99 + -3. Let p = 72.01 + -71. Let r = p + f. What is the closest to r in -4/7, -1, 2/9?
2/9
Suppose -5 = -4*k + 7. Let v = 2.03 + -2. Let h = 0.07 + v. What is the nearest to h in -5, k, 4/5?
4/5
Let t be 11/(-33)*(-1 + -2). What is the nearest to t in -18, -0.5, -1/3?
-1/3
Let j = 48 - 44. Suppose 0 = -4*o - 5 + 1. Which is the closest to o? (a) 0.2 (b) j (c) -2/7
c
Let l = 5.1 + -2.5. Let i = l - -0.4. Let o be ((-45)/13)/3 + 6 + -5. What is the closest to 0.4 in i, -0.3, o?
o
Let j = -97 + 96.8. Which is the closest to j? (a) -3 (b) -2 (c) -5
b
Let z be (-8)/48 + 2/(-12). Let c be (-2)/30 - 2/6. What is the closest to -1/2 in z, c, 0.5?
c
Let d = 6.3 + -6. Let f = -1.32 + -0.38. Let w = d - f. Which is the nearest to w? (a) -4 (b) -2/7 (c) 1/2
c
Let k = -8 + 7.7. Let a = 4 + -3. What is the nearest to a in 0, 0.5, k?
0.5
Let t be 18/12 + (-14)/12. What is the nearest to -2 in 1, t, 5?
t
Let t = 2/71 + 128/497. Which is the nearest to 2? (a) -4/3 (b) 4/3 (c) t
b
Let s = -1/250 - 407/750. Let l = 3/25 - s. Which is the nearest to 2/7? (a) 0.2 (b) l (c) 4
a
Let g(k) = -14*k + 54. Let y be g(4). What is the closest to 2 in -1/2, 4, y?
4
Let v = -44.6 + 45. Let y = 0 - -1. Which is the closest to y? (a) -0.1 (b) v (c) 0.1
b
Let q be 2/3*(-3)/17. Which is the closest to 0? (a) q (b) 2 (c) -5
a
Let t = 2 - 2.3. Let r = t - -0.5. Let b = 0.66 + -0.26. What is the closest to r in 1, b, 0.3?
0.3
Let g = -22 + 25. Which is the closest to -0.1? (a) g (b) 1 (c) 0.2
c
Let o = -1.2 - -0.2. Let u be 1 - -2 - (-18)/(-2). Let i be -3 + (-2 - 38/u). Which is the nearest to o? (a) -1/6 (b) 5 (c) i
a
Let l = -206 + 206. Which is the closest to 1? (a) 0.3 (b) -2/9 (c) l
a
Let g = 0.7 - 2.2. Let d = -2 - g. Let w be ((-1 - -4)/((-20)/8))/2. Which is the closest to -0.2? (a) d (b) w (c) 0
c
Let o(n) = -n**3 + 27*n**2 - 2. Let w be o(27). Which is the nearest to -0.1? (a) 3 (b) w (c) 0.6
c
Let p be ((-2)/15)/(8/10). Let g be (-1)/(-3) - 7/3. Let m be (1 - 3/(-3)) + (-3 - 4). What is the nearest to -0.1 in p, g, m?
p
Let v = -2 - -2.3. Suppose -2*s - 3 - 5 = 0. Let f = 45.1 + -45. What is the nearest to 2/7 in s, f, v?
v
Let z = 84 - 81. Let u be (0/1)/(2/2). Which is the closest to 1/4? (a) u (b) z (c) 2
a
Let u = -236/3 + 78. What is the closest to u in 3, -0.1, 5?
-0.1
Let i be ((-6)/9)/(20/18). Let h = -1 + 1.5. Let t = 0.3 + 1.7. Which is the nearest to 0.1? (a) i (b) t (c) h
c
Let g = -6.4 + 6. Let l = 0 + 0.5. Let m = 0.8 - l. What is the closest to -1/5 in 0.5, g, m?
g
Let d = 1.8 - 1.9. What is the nearest to d in -1, -2/13, 1?
-2/13
Let y(l) = -3*l**2 + 1. Let k be y(0). Which is the nearest to -1? (a) 2 (b) 2/23 (c) k
b
Let r be (-3)/6 + 0 + 27/30. Let t = 4.88 - -0.12. Which is the closest to r? (a) t (b) -1/3 (c) -3/5
b
Let i = -0.24 - -0.34. Which is the closest to 1/2? (a) -6 (b) 0.4 (c) i
b
Let n = -15 - -15.2. Let p = -1 + 1.2. Suppose 5*t - 11 = 4*l, 2*l - 5*t + 1 = -2. What is the nearest to p in n, 1, l?
n
Let m = -1 - -0.9. Let v be (-2 - 0)*3/(-2). Suppose 0 = v*r - 5*r. Which is the closest to 2/5? (a) m (b) r (c) 1/4
c
Suppose 2*s = 7 + 5. Let v be 4 + -1 + (2 - s). What is the closest to v in -4, 0.4, -5?
0.4
Let v be (-2)/6 - 5/(-30). Which is the nearest to 3? (a) -3 (b) v (c) 2
c
Let w be ((-2)/14)/(5 + -2 + -2). Which is the closest to -1.3? (a) 2/7 (b) 4/5 (c) w
c
Let v = -3.3 + 3. Which is the closest to 1? (a) v (b) -4 (c) -0.02
c
Let r be (-1 + 6)/1 - 0. Suppose 0 = v - 2*v + r. Let d = 0 - 4. What is the nearest to -1/3 in 0.3, v, d?
0.3
Let d = -24 + 21. What is the closest to d in 0.3, 2/13, -0.3?
-0.3
Let u = -0.114 - -2.114. Which is the nearest to 2/9? (a) 4 (b) -2/19 (c) u
b
Let i = -25 - -24.7. Which is the closest to 1? (a) i (b) -4 (c) 11
a
Let x = -0.07 - -0.07. Let t = -5 + 4.9. Let w = -3 - -3.2. What is the closest to t in -5, x, w?
x
Let f = -5 + 10. Let v = f + -5.1. Let t = 0.9 + 0.1. Which is the closest to -2/5? (a) 1/4 (b) v (c) t
b
Let x be (-1)/4 - (-60)/(-80). Which is the nearest to -0.1? (a) -3 (b) x (c) 1
b
Let p = -0.3 + 0.8. Which is the closest to -1? (a) 0.3 (b) -1/11 (c) p
b
Let x be (-1 - (-3 + 4))/2. Which is the closest to 1/2? (a) x (b) 0.9 (c) -1/4
b
Suppose -a + 3*a = -0*a. What is the closest to -1 in a, -0.3, 1/8?
-0.3
Let q be 95/(-470)*2113*-11. Let l = q + -4698. Let z = 341/658 + l. Which is the nearest to 2/3? (a) 0.1 (b) z (c) 1/4
b
Let p = -0.489 + -0.011. Which is the closest to | {
"pile_set_name": "DM Mathematics"
} |
is prob of sequence tk?
1/33
Calculate prob of sequence my when two letters picked without replacement from myyymmmmmyymyymymy.
9/34
Two letters picked without replacement from {e: 2, z: 1, p: 2, a: 1, l: 1, i: 1}. Give prob of sequence lp.
1/28
What is prob of sequence ltt when three letters picked without replacement from {l: 2, t: 2}?
1/6
Calculate prob of sequence zydh when four letters picked without replacement from dhzmmdmmym.
1/2520
What is prob of sequence eu when two letters picked without replacement from {e: 2, n: 1, o: 1, u: 4}?
1/7
What is prob of sequence no when two letters picked without replacement from onoojoxojojojxnnooxx?
27/380
Calculate prob of sequence xe when two letters picked without replacement from xxxxexxxxexxxxxxxee.
10/57
What is prob of sequence zzzx when four letters picked without replacement from {x: 1, z: 19}?
1/20
What is prob of sequence qiqz when four letters picked without replacement from {t: 1, i: 1, q: 2, z: 2}?
1/90
Two letters picked without replacement from dhmddhmedmmddqddd. Give prob of sequence md.
9/68
Four letters picked without replacement from {g: 3, n: 1, f: 4, p: 2, q: 2}. What is prob of sequence fpnf?
1/495
Three letters picked without replacement from {w: 2, t: 2, h: 2}. What is prob of sequence tww?
1/30
What is prob of sequence yyy when three letters picked without replacement from yyyyyyyyy?
1
Two letters picked without replacement from aooo. Give prob of sequence ao.
1/4
Four letters picked without replacement from jbbjbbbjjb. Give prob of sequence jbbb.
2/21
Two letters picked without replacement from pnnnp. Give prob of sequence nn.
3/10
Three letters picked without replacement from yytytttt. What is prob of sequence tyy?
5/56
Two letters picked without replacement from {f: 1, b: 1, q: 2, g: 2, i: 1, j: 1}. Give prob of sequence fg.
1/28
Calculate prob of sequence gm when two letters picked without replacement from {u: 1, i: 1, m: 4, g: 4, n: 1}.
8/55
Three letters picked without replacement from ppypqxpffq. Give prob of sequence pfy.
1/90
Calculate prob of sequence ga when two letters picked without replacement from gggggggagagggggaag.
28/153
What is prob of sequence snnn when four letters picked without replacement from {s: 5, n: 3, x: 1}?
5/504
Two letters picked without replacement from uuuuuuuuu. What is prob of sequence uu?
1
Four letters picked without replacement from lzizizizlz. Give prob of sequence iliz.
1/84
What is prob of sequence ju when two letters picked without replacement from {u: 8, j: 5, n: 4}?
5/34
Calculate prob of sequence rr when two letters picked without replacement from {v: 8, r: 3}.
3/55
What is prob of sequence gjgg when four letters picked without replacement from ggggjjjjgggggggjgg?
143/1224
Calculate prob of sequence jjgc when four letters picked without replacement from jggjjjjjjcjjjj.
5/546
Two letters picked without replacement from rtrrrrstrr. Give prob of sequence rt.
7/45
Three letters picked without replacement from ooooooouoouoou. Give prob of sequence uuo.
11/364
Calculate prob of sequence ok when two letters picked without replacement from kkkkokokkk.
8/45
Calculate prob of sequence lu when two letters picked without replacement from llllllululllllllllul.
51/380
What is prob of sequence dwp when three letters picked without replacement from ppbppwbpbdpwbbbbwdp?
7/969
Calculate prob of sequence vvh when three letters picked without replacement from {h: 4, v: 2, d: 3}.
1/63
Two letters picked without replacement from pppqxopqfxpyxqp. Give prob of sequence pp.
1/7
Calculate prob of sequence bnbn when four letters picked without replacement from cbbnbccbnc.
1/210
Four letters picked without replacement from ammaaaamaaanmnnnmam. What is prob of sequence mmaa?
15/646
What is prob of sequence kj when two letters picked without replacement from kjjkjlj?
4/21
Two letters picked without replacement from {j: 1, r: 17}. What is prob of sequence rj?
1/18
Calculate prob of sequence kaw when three letters picked without replacement from kiwjjwksjjajawjjk.
3/680
Three letters picked without replacement from eenuzuueunfueeea. What is prob of sequence nfu?
1/336
Four letters picked without replacement from wdww. Give prob of sequence wwdd.
0
Four letters picked without replacement from {b: 1, e: 1, l: 2, t: 11}. What is prob of sequence blle?
1/16380
What is prob of sequence httt when four letters picked without replacement from hhthhthhththt?
4/143
Two letters picked without replacement from unrnrnkkurntnknnunrr. Give prob of sequence tn.
2/95
Calculate prob of sequence qq when two letters picked without replacement from qhvuhuuhuuhuhqhhhq.
1/51
Three letters picked without replacement from {y: 4, s: 3, r: 2, w: 2}. What is prob of sequence www?
0
Three letters picked without replacement from {m: 3, c: 1, g: 4, s: 10}. What is prob of sequence sgg?
5/204
What is prob of sequence mdn when three letters picked without replacement from {j: 5, n: 1, d: 4, m: 3}?
1/143
Calculate prob of sequence zw when two letters picked without replacement from {w: 1, z: 1, p: 1}.
1/6
Four letters picked without replacement from mmvvivvocoammc. What is prob of sequence avom?
4/3003
Four letters picked without replacement from rrsqqrzrssm. What is prob of sequence mrrr?
1/330
Four letters picked without replacement from bbubbubbuuuuu. Give prob of sequence bbuu.
21/286
Two letters picked without replacement from {c: 11, z: 1, w: 2}. Give prob of sequence cz.
11/182
Two letters picked without replacement from {f: 17, g: 2}. What is prob of sequence gf?
17/171
What is prob of sequence bdms when four letters picked without replacement from {d: 4, b: 8, s: 4, t: 2, m: 2}?
32/14535
Two letters picked without replacement from {o: 6}. What is prob of sequence oo?
1
What is prob of sequence uab when three letters picked without replacement from {u: 2, b: 2, a: 2}?
1/15
Calculate prob of sequence ood when three letters picked without replacement from dooooodddooodndooon.
110/969
Calculate prob of sequence em when two letters picked without replacement from ceceeemcmccm.
1/11
Three letters picked without replacement from rnxrxnxrnxiixxx. What is prob of sequence ixr?
1/65
Three letters picked without replacement from ldlldldllldlldlldl. What is prob of sequence ddl?
5/68
Three letters picked without replacement from {s: 2, k: 4, m: 7, a: 1}. What is prob of sequence kmm?
1/13
What is prob of sequence bs when two letters picked without replacement from {s: 2, b: 2}?
1/3
Calculate prob of sequence ff when two letters picked without replacement from qfzfzfqf.
3/14
Three letters picked without replacement from {h: 1, c: 4, g: 3, x: 4, w: 2}. What is prob of sequence wgh?
1/364
Three letters picked without replacement from bppobbbobpobbp. Give prob of sequence ppo.
3/182
Three letters picked without replacement from {f: 2, u: 4}. Give prob of sequence ufu.
1/5
What is prob of sequence czl when three letters picked without replacement from zlzcjjyclyhhzzjjhy?
1/306
Calculate prob of sequence un when two letters picked without replacement from {z: 1, r: 1, u: 2, i: 1, n: 2}.
2/21
Four letters picked without replacement from {c: 7, q: 1}. What is prob of sequence qqqq?
0
Calculate prob of sequence bub when three letters picked without replacement from udbbmldbbllbmum.
4/273
Four letters picked without replacement from {h: 8, s: 3, k: 3, p: 3}. Give prob of sequence kpss.
9/9520
What is prob of sequence ckg when three letters picked without replacement from ccggkggkggggcggggk?
3/136
What is prob of sequence pq when two letters picked without replacement from {p: 4, m: 1, q: 5, r: 3}?
5/39
Two letters picked without replacement from mrzz. What is prob of sequence zm?
1/6
What is prob of sequence xi when two letters picked without replacement from foioxffif?
1/36
Three letters picked without replacement from ssssssssjsssjsssss. What is prob of sequence jss?
5/51
Calculate prob of sequence gt when two letters picked without replacement from {z: 4, x: 3, t: 4, g: 7, w: 1}.
14/171
Calculate prob of sequence rssw when four letters picked without replacement from {s: 2, w: 1, r: 4}.
1/105
Calculate prob of sequence uquq when four letters picked without replacement from quqqjuqu.
3/70
Calculate | {
"pile_set_name": "DM Mathematics"
} |
4 + 1080*h - 2157.
-3*(h - 1438)*(h - 2)/4
Factor -8*z**4/7 - 22*z**3/21 - 4*z**2/21.
-2*z**2*(3*z + 2)*(4*z + 1)/21
Let -3*y**3 + 129*y**2 - 1506*y + 2520 = 0. Calculate y.
2, 20, 21
Factor -5*v**4 - 25*v**3 + 15*v**2 + 85*v + 50.
-5*(v - 2)*(v + 1)**2*(v + 5)
Factor 2*w**4 + 1304*w**3 + 213852*w**2 + 423800*w + 211250.
2*(w + 1)**2*(w + 325)**2
Factor 5*l**3 + 855*l**2 + 36120*l - 36980.
5*(l - 1)*(l + 86)**2
Solve -80*f**5 - 24360*f**4 - 2484645*f**3 - 86110075*f**2 - 125013255*f - 46363545 = 0.
-101, -3/4
Find p, given that 3*p**2 + 4944*p + 4941 = 0.
-1647, -1
Determine t so that 2*t**3 = 0.
0
Find n such that -3*n**3 + 177*n**2 + 3*n - 177 = 0.
-1, 1, 59
Solve 2*f**4 - 48*f**3 - 2*f**2 + 48*f = 0.
-1, 0, 1, 24
What is c in 35*c**3 - 3560*c**2 + 5980*c + 2000 = 0?
-2/7, 2, 100
Factor -d**5 - 9*d**4 - 31*d**3 - 51*d**2 - 40*d - 12.
-(d + 1)**2*(d + 2)**2*(d + 3)
Factor 4*z**3/5 - 108*z**2/5 + 156*z - 676/5.
4*(z - 13)**2*(z - 1)/5
Solve -169*a**5/7 - 24219*a**4/7 - 7440*a**3/7 - 572*a**2/7 = 0 for a.
-143, -2/13, 0
Factor -10*l**3 - 45*l**2 + 25*l.
-5*l*(l + 5)*(2*l - 1)
Factor -3*i**3/8 + 33*i**2/8 - 27*i/4.
-3*i*(i - 9)*(i - 2)/8
Solve -2*d**4 - 18*d**3 - 48*d**2 - 40*d = 0.
-5, -2, 0
Factor -2*x**5/5 + 42*x**4/5 - 8*x**3.
-2*x**3*(x - 20)*(x - 1)/5
Let -20*o**5/3 + 5935*o**4/3 - 145525*o**3 - 553535*o**2/3 - 111005*o/3 = 0. Calculate o.
-1, -1/4, 0, 149
Let -3*a**3 - 69*a**2 - 240*a - 228 = 0. Calculate a.
-19, -2
Find t such that -2*t**4/13 - 16*t**3/13 - 2*t**2 - 12*t/13 = 0.
-6, -1, 0
Factor 5*n**2 + 530*n + 14045.
5*(n + 53)**2
Let -19*x**3 - 78*x**2 - 101*x - 42 = 0. What is x?
-2, -21/19, -1
Determine q, given that q**4/2 - 983*q**3/2 = 0.
0, 983
Determine l so that -15*l**5 + 5*l**4 + 15*l**3 - 5*l**2 = 0.
-1, 0, 1/3, 1
Suppose o**3/2 + 65*o**2/2 - 184*o - 28566 = 0. Calculate o.
-46, 27
Find r, given that -2*r**5/9 + 2*r**4/3 + 68*r**3/9 + 104*r**2/9 - 16*r/3 - 128/9 = 0.
-2, 1, 8
Factor 2*z**4 - 1272*z**3 + 202248*z**2.
2*z**2*(z - 318)**2
Factor 4*i**4 + 156*i**3 + 1736*i**2 + 4176*i + 2592.
4*(i + 1)*(i + 2)*(i + 18)**2
Solve 2*y**5/11 - 6*y**4/11 - 12*y**3/11 + 16*y**2/11 = 0 for y.
-2, 0, 1, 4
Factor 2*i**5 - 10*i**4 + 4*i**3 + 16*i**2.
2*i**2*(i - 4)*(i - 2)*(i + 1)
Factor 49*n**5/6 - 77*n**4/2 - 23*n**3/2 - 5*n**2/6.
n**2*(n - 5)*(7*n + 1)**2/6
Factor -2*o**2/3 + 4892*o/3 - 2991458/3.
-2*(o - 1223)**2/3
Find f such that -12*f**5 + 21*f**4 + 90*f**3 + 69*f**2 + 12*f = 0.
-1, -1/4, 0, 4
Solve -12*t**2 - 704*t = 0 for t.
-176/3, 0
Suppose w**2/5 + 63*w/5 + 62/5 = 0. Calculate w.
-62, -1
Let 2*r**4/3 - 28*r**3/3 = 0. What is r?
0, 14
Determine o, given that 5*o**5/3 - 160*o**4/3 + 905*o**3/3 + 2090*o**2 + 900*o - 3240 = 0.
-3, -2, 1, 18
Factor -66*g**3 - 68*g**2 - 2*g.
-2*g*(g + 1)*(33*g + 1)
What is v in 4*v**4 + 411*v**3 - 103*v**2 = 0?
-103, 0, 1/4
Find b such that b**4/3 + 49*b**3/3 + 185*b**2/3 + 227*b/3 + 30 = 0.
-45, -2, -1
What is t in -t**2/5 + 727*t/5 = 0?
0, 727
Suppose -s**5/6 + 3*s**4 - 77*s**3/6 - 12*s**2 + 54*s = 0. Calculate s.
-2, 0, 2, 9
Suppose 9*x**2/8 + 447*x/8 - 1053/4 = 0. What is x?
-54, 13/3
Factor -u**2/8 - 2*u + 17/8.
-(u - 1)*(u + 17)/8
Determine r, given that -4*r**4 - 60*r**3 + 68*r**2 + 60*r - 64 = 0.
-16, -1, 1
Factor -2*m**5/3 + 38*m**4 - 522*m**3 - 1682*m**2/3.
-2*m**2*(m - 29)**2*(m + 1)/3
Let n**4/6 - n**3/2 - n**2/2 + 11*n/6 - 1 = 0. Calculate n.
-2, 1, 3
Let 3*m**2 - 39*m - 42 = 0. What is m?
-1, 14
What is h in 2*h**3 + 162*h**2 - 2*h - 162 = 0?
-81, -1, 1
Factor -2*x**4 + 128*x**3 + 132*x**2 - 128*x - 130.
-2*(x - 65)*(x - 1)*(x + 1)**2
Factor -n**5/8 - n**4/2 + 9*n**3/2 - 37*n**2/4 + 61*n/8 - 9/4.
-(n - 2)*(n - 1)**3*(n + 9)/8
Suppose -3*v**3/2 + 21*v**2 - 123*v/2 - 84 = 0. Calculate v.
-1, 7, 8
Factor f**3/6 + 5*f**2/3 + 7*f/2.
f*(f + 3)*(f + 7)/6
Let -l**5/4 - 9*l**4/2 - 39*l**3/2 + 14*l**2 + 279*l/4 + 81/2 = 0. What is l?
-9, -1, 2
Factor f**4/4 - f**3/2 - 7*f**2/4 - f.
f*(f - 4)*(f + 1)**2/4
Factor -y**3/2 - 41*y**2/2 - 151*y/2 - 111/2.
-(y + 1)*(y + 3)*(y + 37)/2
Determine o so that 3*o**2 + 108*o - 111 = 0.
-37, 1
Factor -3*y**3 - 140*y**2 - 1072*y/3 - 704/3.
-(y + 44)*(3*y + 4)**2/3
Factor -s**3 - 50*s**2 + 611*s + 660.
-(s - 11)*(s + 1)*(s + 60)
Suppose -3*s**5 - 2*s**4 + 19*s**3 + 6*s**2 - 28*s + 8 = 0. What is s?
-2, 1/3, 1, 2
Solve -200*w**5 + 540*w**4 - 272*w**3 - 228*w**2 + 112*w + 48 = 0 for w.
-2/5, 1, 3/2
What is z in -21*z**5/2 + 39*z**4 - 9*z**3 - 48*z**2 + 39*z/2 + 9 = 0?
-1, -2/7, 1, 3
Factor 4*y**5 - 11064*y**4 + 7650756*y**3.
4*y**3*(y - 1383)**2
Find r, given that -r**4/8 - r**3/8 + r**2/8 + r/8 = 0.
-1, 0, 1
Determine h so that h**4/6 + 5*h**3/3 + 7*h**2/2 - 2*h/3 - 14/3 = 0.
-7, -2, 1
Find v, given that -v**3/6 + 43*v**2/6 - 359*v/6 - 403/6 = 0.
-1, 13, 31
Factor -7*q**4 - 666*q**3 + 2649*q**2 - 2380*q - 396.
-(q - 2)**2*(q + 99)*(7*q + 1)
Determine c so that 2*c**5 + 6*c**4 - 160*c**3 + 600*c**2 - 832*c + 384 = 0.
-12, 1, 2, 4
Factor -7*t**2/5 - 152*t/5 + 44/5.
-(t + 22)*(7*t - 2)/5
Determine i so that 16*i**5/3 + 668*i**4/3 - 284*i**3 + 343*i**2/3 - 43*i/3 = 0.
-43, 0, 1/4, 1/2
Factor -y**3/5 + 28*y**2/5 - 161*y/5 - 38.
-(y - 19)*(y - 10)*(y + 1)/5
Factor 2*g**3/5 - 156*g**2.
2*g**2*(g - 390)/5
Suppose 3*g**4/7 - 27*g**3/7 + 6*g**2/7 + 36*g + 216/7 = 0. What is g?
-2, -1, 6
Find s, given that -2*s**4 - 2*s**3 + 6*s**2 + 2*s - 4 = 0.
-2, -1, 1
Factor 2*z**3/7 - 204*z**2/7 - 842*z/7 - 636/7.
2*(z - 106)*(z + 1)*(z + 3)/7
Factor -2*v**3 - 136*v**2.
-2*v**2*(v + 68)
Find m such that m**4/2 + 7*m**3 + 51*m**2/2 + 7*m - 40 = 0.
-8, -5, -2, 1
Factor -2*t**2 - 884*t - 97682.
-2*(t + 221)**2
Determine y, given that 4*y**5 - 144*y**4 + 536*y**3 - 784*y**2 + 516*y - 128 = 0.
1, 32
Let h**3/2 + 23*h**2 + 84*h = 0. What is h?
-42, -4, 0
Factor -3*b**4 + 30*b**3 - 84*b**2 + 72*b.
-3*b*(b - 6)*(b - 2)**2
Factor 2*i**3/5 + 122*i**2 + 46206*i/5 - 46818/5.
2*(i - 1)*(i + 153)**2/5
Factor 4*n**3 - 1120*n**2 - 18688*n - 75776.
4*(n - 296)*(n + 8)**2
Factor 4*y**3 + 100*y**2 + 97*y + 24.
(y + 24)*(2*y + 1)**2
Solve -2*p**2/7 - 6*p/7 + 8/7 = 0 for p.
-4, 1
Factor -2*a**2/3 + 8/3.
-2*(a - 2)*(a + 2)/3
Find u such that 28*u**2 - 356*u - 104 = 0.
-2/7, 13
Solve -a**2 + 22*a - 57 = 0 for a.
3, 19
Determine w so that -2*w**3/7 - 20*w**2/7 - 62*w/7 - 60/7 = 0.
-5, -3, -2
What is o in -32*o**5 + 1236*o**4 - 14028*o**3 + 34276*o**2 + 70380*o + 20808 = 0?
-1, -3/8, 6, 17
Let -3*t**5 - 168*t**4 - 2340*t**3 + 672*t**2 + 9408*t = 0. What is t?
-28, -2, 0, 2
Find q, given that -18*q**3/7 - 8268*q**2/7 - 11000*q/7 - 3664/7 = 0.
-458, -2/3
Suppose -64*o**2/3 - 50*o/3 + 14/3 = 0. What is o?
-1, 7/32
Solve 4*v**2 + 528*v + 17424 = 0 for v.
-66
What is o in -o**5/3 + 7*o**4/3 + 41*o**3/3 + 37*o**2/3 - 40*o/3 - 44/3 = 0?
-2, -1, 1, 11
Factor 4*d**5 + 85*d**4 + 21*d**3.
d**3*(d + 21)*(4*d + 1)
Factor b**5 - 8*b**4 + 25*b**3 - 38*b**2 + 28*b - 8.
(b - 2)**3*(b - 1)**2
Find l such that 2*l**5/5 + 12*l**4/5 + 24*l**3/5 + 16*l**2/5 = 0.
-2, 0
Factor -p**3 + 248*p**2 + 251*p - 498.
-(p - 249)*(p - 1)*(p + 2)
Factor 2*j**4/7 + 304*j**3/7 + 12144*j**2/7 + 44992*j/7 + 43808/7.
2*(j + 2)**2*(j + 74)**2/7
Let -2*b**2 + 392*b - 19208 = 0. Calculate b.
98
Determine c, given that 8*c**4/7 + 58*c**3/7 + 148*c**2/7 + 158*c/7 + 60/7 = 0.
-3, -2, -5/4, -1
Factor 2*i**5/9 - 10*i**4 - 94*i**3/3 - 286*i**2/9 - 32*i/3.
2*i*(i - 48)*(i + 1)**3/9
Suppose 2*y**2/5 + 7502*y/5 + 1500 = 0. Calculate y.
-3750, -1
Factor 5*v**4 - 70*v**3.
5*v**3*(v - 14)
Factor t**2/6 + 73*t/2 + 430/3.
(t + 4)*(t + 215)/6
What is w in -3*w**3/2 - 309*w**2 - 15600*w + 32448 = 0?
-104, 2
Find k, given that -2*k**5 + k**4 + 3*k**3 - k**2 - k = 0.
-1, -1/2, 0, 1
Suppose 2*j**4/7 - 12*j**3/7 - 30*j**2/7 - 16*j/7 = 0. What is j?
-1, 0, 8
Find d such that -d**4 - 753*d**3 - 141373*d**2 + 143637*d + 284258 = 0.
-377, -1, 2
Factor -4*x**4 - 12*x**3 + 268*x**2 - 852*x + 792.
-4*(x - 3)**2*(x - 2)*(x + 11)
Factor z**2 - 171*z + 170.
(z - 170)*(z - 1)
Factor -4*i**4 + 440*i**3 - 12516*i**2 + 22032*i + 34992.
-4*(i - 54)**2*(i - 3)*(i + 1)
Find y such that 6156*y**4/7 + 8244*y**3/7 + 2104*y**2/7 - 16*y/7 - 32/7 = 0.
-1, -2/9, 2/19
Factor 3*m**3 + 600*m**2 + 597*m.
3*m*(m + 1)*(m + 199)
Let -2*f**4 + 5*f**3/3 + f**2/3 = 0. What is f?
-1/6, 0, 1
Determine | {
"pile_set_name": "DM Mathematics"
} |
3 - 90*s - 99*s + l*s. What is 4*g(y) - 3*t(y)?
-2*y
Let m(h) = -13*h**2 + 7*h**2 + 6*h**2 - 2*h**2. Let o(q) = 8*q**2 - 1. Let w = -11 - -11. Suppose 3*i + 1 + 5 = w. Determine i*o(t) - 9*m(t).
2*t**2 + 2
Let u(b) = -b**2 - 7*b. Let z be (-45)/(-270)*84/(-2). Let g(x) = 2*x**2 + 13*x. Calculate z*u(p) - 4*g(p).
-p**2 - 3*p
Let b(t) = 15*t**2 - 2. Let o(p) be the third derivative of -697*p**5/30 + 187*p**3/6 + 82*p**2. Give -187*b(f) - 2*o(f).
-17*f**2
Let f(z) be the first derivative of -z**2/2 - z - 3. Let n be (-1 + 2)/(4 + (-4 - -1)). Let l(b) = 1 + 0 + 4*b + 1 - b**2. Give n*l(a) + 2*f(a).
-a**2 + 2*a
Let b(i) = -i**3 - 13*i**2 - 13*i - 168. Let q be b(-13). Let m(f) = 1. Let n(v) = v + 3. What is q*n(l) - 4*m(l)?
l - 1
Let i(p) = 8 - 3 + 35*p + 2 - 20*p - 13*p. Let k(j) = 3*j + 5. Let l(m) = 4*m + 6. Let v(q) = -3*k(q) + 2*l(q). Give 4*i(o) + 10*v(o).
-2*o - 2
Let u(w) = -9*w + 5. Let m(g) = 1. Suppose 2*z - 5*a = -5 + 12, -4*a = 2*z + 2. Determine z*u(c) - 3*m(c).
-9*c + 2
Let c(u) = 14*u**2 + u. Let q(t) = 13*t**2 + t. What is 6*c(w) - 5*q(w)?
19*w**2 + w
Let v(q) be the first derivative of -13*q**3/3 - 17*q**2/2 - 11*q - 125. Let z(t) = -6*t**2 - 8*t - 5. Give -4*v(k) + 9*z(k).
-2*k**2 - 4*k - 1
Let m(d) = d - 166. Let w(c) = c - 32. Let x(i) = m(i) - 5*w(i). Suppose 1 = -2*h - 11. Let s(b) = b + 1. What is h*s(n) - x(n)?
-2*n
Let t(g) = g**2 + g - 4. Let d(a) = -45*a**2 + 3*a - 10. Calculate 2*d(v) - 6*t(v).
-96*v**2 + 4
Suppose -5*j + 3 = -7. Let s(a) = -a. Suppose 3*n - 1 = 5*c - 9*c, -4*n = 3*c + 1. Let z(q) = 2 - 1 - 2. Calculate c*s(l) + j*z(l).
-l - 2
Let d(i) = 1023230*i**2 + 2778*i + 5556. Let x(f) = 1842*f**2 + 5*f + 10. What is -5*d(w) + 2778*x(w)?
926*w**2
Let i(c) be the second derivative of c**3/3 - 9*c**2/2 - c. Let p(y) = y - 4. Suppose 0 = -91*q + 39*q + 156. Calculate q*i(r) - 7*p(r).
-r + 1
Let v(y) = -22*y**2 - 17*y. Let x(a) = 7*a**2 + 6*a. Suppose -c = 4*l + 10 + 7, -5*l = 0. What is c*x(i) - 6*v(i)?
13*i**2
Let k(c) be the first derivative of 3*c**3 - 213. Let s(n) = -341*n**2. Determine 77*k(y) + 2*s(y).
11*y**2
Let m(x) = -37*x - 54. Let h(o) = 7*o + 11. Calculate 11*h(u) + 2*m(u).
3*u + 13
Let w(v) = 3*v**2 + 6*v + 7. Let c(q) = -2*q**2 + q + 1. Let d(o) = -3*o**2 + o + 1. Let z(x) = -4*c(x) + 3*d(x). What is -w(b) - 4*z(b)?
b**2 - 2*b - 3
Let z(v) be the third derivative of -v**6/120 + v**5/30 + v**4/24 + 702*v**2. Let c(s) = -6*s + 3*s + 6*s**3 - 11*s**2 - 2*s. Calculate -2*c(u) - 11*z(u).
-u**3 - u
Let x(n) = 1662 - 833 - 2*n - 831. Let t = -16 - -19. Let q(f) = f**2 + 3*f + 3. What is t*x(v) + 2*q(v)?
2*v**2
Let o(n) = -1437*n - 10. Let s(b) = 2911364*b + 20258. Calculate -10129*o(u) - 5*s(u).
-1447*u
Let a(c) = c**3 + 8*c**2 + 3. Let v(l) = l**3 + 9*l**2 - l + 4. Calculate -4*a(j) + 3*v(j).
-j**3 - 5*j**2 - 3*j
Let q(b) = -64*b**2 + 20. Let j(l) = l**2 + 2. Give 12*j(k) - q(k).
76*k**2 + 4
Let g(i) = i**2 - i + 1. Let w(c) = 3 + 1 - 2 - 3*c**2 - 4. Suppose -3*u - 5 = 1. Determine u*g(j) - w(j).
j**2 + 2*j
Let c(y) = 31*y**3 - y**2 - 14*y + 7. Let z(h) = 30*h**3 - h**2 - 12*h + 6. Give 6*c(g) - 7*z(g).
-24*g**3 + g**2
Let x(o) = 17*o - 2. Let l(q) = 6*q - 1. Let r(i) = -i**2 - 13*i - 8. Suppose 5*f = 5*n + 35, 0*n + 5*n + 50 = 2*f. Let m be r(n). Determine m*x(p) - 11*l(p).
2*p + 3
Let d = 111 + -105. Let y(u) = 5*u - 4. Let l(v) = -7*v - 2 + 10 - v - 2*v. Let k(o) = -o + 1. Let a(p) = -k(p) + l(p). Calculate d*a(h) + 11*y(h).
h - 2
Let z(p) = -5*p - 2. Let l(m) = -2*m - 1. Suppose 53*s - 156 = s. Determine s*z(v) - 7*l(v).
-v + 1
Let z(p) = -p**3 - 2*p**2 + 2. Let h be 3/((-4)/((-16)/6)). Let w = 26 + -23. Let t(b) = 18 - 23 - 3*b**w - 7*b**2 + 12 - b. What is h*t(s) - 7*z(s)?
s**3 - 2*s
Let q(k) = -4*k**2 - 3*k - 11. Let u = 7 - 1. Let x(i) be the first derivative of 2/3*i**3 + u*i - 4 + i**2. Determine 4*q(b) + 7*x(b).
-2*b**2 + 2*b - 2
Let v(p) = 204*p - 6. Let a(y) = 206*y - 7. Determine 5*a(d) - 6*v(d).
-194*d + 1
Let k be (2/1)/(1 + 8 + -7). Let o(c) = 2*c + 4. Let i(l) = -5*l - 11. Let t(n) = 3*i(n) + 8*o(n). Let u(y) = 0 - 4 - 1 + 6*y + 0. Calculate k*u(x) - 4*t(x).
2*x - 1
Let y(u) = -8*u - 1. Let n(p) be the third derivative of -p**4/24 - 14*p**2 + 5*p. Give -5*n(j) + y(j).
-3*j - 1
Let i(f) = 56 + 44 - 101 + 13*f**2. Let x(t) = 26*t**2 - 2. What is -5*i(n) + 2*x(n)?
-13*n**2 + 1
Let y(f) = -17*f**2 + 15*f + 2. Let r(o) = -15*o**2 + 15*o + 2. Calculate -6*r(a) + 5*y(a).
5*a**2 - 15*a - 2
Let m(r) = -3*r - 2. Let j(z) = -13*z - 8. Suppose 43*t + 66 = 10*t. Calculate t*j(l) + 9*m(l).
-l - 2
Suppose -54*a = 53 + 55. Let y(f) = -4*f**2 - 5*f - 1. Let z(s) = 1. Let b(o) = 2*o**2 + 2*o - 5. Let l(w) = b(w) + 6*z(w). Determine a*y(k) - 5*l(k).
-2*k**2 - 3
Let y(g) = 39*g - 2. Let f(q) = 71*q - 3. Give 3*f(i) - 5*y(i).
18*i + 1
Let t(b) = -2*b**2 - 270*b - 6. Let a(r) = -6*r**2 - 812*r - 16. Determine -3*a(q) + 8*t(q).
2*q**2 + 276*q
Let g = -956 - -961. Let w(r) = -6*r**2 - 3*r + 2. Let a(o) = o**2 - 1. Calculate g*a(s) + w(s).
-s**2 - 3*s - 3
Let o(i) = -5*i**3 - 2*i**2 - 3*i + 6. Let g(d) = -5*d**3 - 3*d**2 - 2*d + 5. Calculate -3*g(u) + 2*o(u).
5*u**3 + 5*u**2 - 3
Let v(n) = 6*n**3 + 2*n**2 + 2*n - 2. Let o(l) = 3*l + 3. Let b(j) = -2*j**3 - j**2 - 7*j - 5. Let q(i) = -3*b(i) - 6*o(i). Give 4*q(k) - 6*v(k).
-12*k**3
Let j(m) = -m**3 + m**2 + 2*m. Let p(t) = 4*t**3 - 2*t**2 + 2*t. Give -2*j(u) - p(u).
-2*u**3 - 6*u
Let k(l) = 8*l**2 - 8*l + 6912*l**3 + 0*l**2 - 2 - 6906*l**3. Let o(f) = f**2 - f. Give k(a) - 8*o(a).
6*a**3 - 2
Let g be 2/12 + (-22)/(-12). Let f(z) = -3*z**2 - 7*z - 10. Let x(i) be the second derivative of i**4/12 + i**3/3 + 3*i**2/2 - 329*i. Determine g*f(a) + 7*x(a).
a**2 + 1
Let j(n) = -913*n**3 + 15*n**2 + 5. Let t(c) = -456*c**3 + 6*c**2 + 2. What is -2*j(z) + 5*t(z)?
-454*z**3
Let h(l) = l**3 - 2*l**2 + 2*l + 1. Let a(m) = -m**3 + 6*m**2 - 174*m - 3. Determine a(n) + 3*h(n).
2*n**3 - 168*n
Let n(x) = -3*x + 1. Let l(h) = h**2 + h. Let o(z) = -69*z - 827. Let c be o(-12). Give c*n(i) + 2*l(i).
2*i**2 - i + 1
Let g(u) = u**3 - 2*u + 12. Let c(y) = -y**3 + 5*y - 23. Give -2*c(o) - 5*g(o).
-3*o**3 - 14
Let b(x) = -x**2 - x + 1. Let q(f) = -4*f**3 + 18*f**2 + 16*f - 18. Determine 36*b(m) + 2*q(m).
-8*m**3 - 4*m
Let g(l) be the second derivative of l**6/720 + l**5/120 - l**4 + 12*l. Let r(b) be the third derivative of g(b). Let k(u) = -2*u - 2. Give -2*k(f) - 5*r(f).
-f - 1
Let l(q) be the first derivative of -18 + 1/2*q**2 + q. Suppose -4*c - 7 = 9. Let r(h) = -3*h - 4. Give c*l(w) - r(w).
-w
Let l(w) = -6*w. Let j be 4 + 4 - (0 - 1). Suppose 4*i - 8 = d + 4, 2*i - 3*d = 16. Let q(s) = -9 + i*s + j + 2*s. What is -5*l(n) - 8*q(n)?
-2*n
Suppose 0 = v - 3*v - 6. Let h(o) = -o**2 - o. Let m = -11 - -8. Let f = -2 - m. Let r(y) = -y**2 - 5*y - 1. What is f*r(x) + v*h(x)?
2*x**2 - 2*x - 1
Let s(x) = 8*x**2 - 7*x + 10. Let w(y) = -9*y**2 + 8*y - 13. Give -7*s(o) - 6*w(o).
-2*o**2 + o + 8
Let a(s) = -15*s + 9. Let k(q) = 44 - 31 - 15 + 4*q. Give 4*a(g) + 18*k(g).
12*g
Let d(b) = -82*b + 12. Let y(c) = 163*c - 30. Calculate 7*d(k) + 3*y(k).
-85*k - 6
Let n(i) be the second derivative of -7*i**3/2 - 5*i**2/2 - 28*i. Let q(t) = -4*t - 1. Determine 4*n(b) - 22*q(b).
4*b + 2
Let g(o) = -5*o**2 + 3*o. Let h(x) = 56*x**2 - 32*x. Let j = -211 + 214. Calculate j*h(p) + 32*g(p).
8*p**2
Let m(t) = t**3 - t + 1. Let s(d) = 10*d**3 - 2*d**2 - 4*d + 4. Give -4*m(h) + s(h).
6*h**3 - 2*h**2
Let z = -602 - -597. Let p(k) = -35*k - 3. Let s(j) = 23*j + 2. Give z*p(o) - 8*s(o).
-9*o - 1
Let o(v) = v + 1. Let i(q) = 753 - 252 - 249 - 250 + 3*q. Give -3*i(l) + 7*o(l).
-2*l + 1
Let x(l) be the third derivative of l**4/24 + l**3/6 + l**2 - 13. Let a(n) = n. Calculate -6*a(p) + x(p).
-5*p + 1
Let y(p) = 194*p**2 - 4. Let f(m) = 196*m**2 - 3. What is -4*f(g) + 3*y(g)?
-202*g**2
Let q(v) = -667*v + 332*v + 327*v. Let s(k) = 39*k. What is 24*q(i) + 5*s(i)?
3*i
Let s(r) = -r**2 + r + 1. Let z(p) = -8*p**2 + 12*p + 11. Calculate 6*s(l) - z(l).
2*l**2 - 6*l - 5
Let x(b) be the second derivative of -3*b**2 - b + 0 - 7/6*b**3. Let k(i) be the second derivative of 4*i**3/3 + 7*i**2/2 - 18*i. Give -6*k(w) - 7*x(w).
w
Let a(t) = -t**2 + 1. Let w(k) = -5*k**3 - 4*k**2 + k. Determine a(b) + w(b).
-5*b**3 - 5*b**2 + b + 1 | {
"pile_set_name": "DM Mathematics"
} |
v). Which is smaller: c or -117?
-117
Suppose -5*l - s = 0, 3*s = 2*l - 4*l. Suppose 0 = -l*q + 14*q - 4018. Which is smaller: 288 or q?
q
Let t = 45762 - 45764. Is 2/129 > t?
True
Let l(a) = 2*a**3 + 3*a**2 + 3*a. Suppose -5*h - 21 = -2*r, 3*h + 18 = 3*r - 0*h. Let i be l(r). Let s = 90 - i. Is -2/219 at most as big as s?
True
Let c be -4 + 51/12 - 14/(-488). Let b = -1125/3599 + c. Which is greater: b or 0?
0
Suppose 5*q + 45 = 6*h - h, 0 = -5*h + 4*q + 45. Let o be 1*(4*h/12 - 2). Is o at least as big as 2/17?
True
Let h = -1310 + 1354. Let v(i) = 14*i + 5. Let n be v(-6). Let z = h + n. Is z greater than -35?
False
Let y = 2902060/38523 - -2/12841. Which is bigger: 75 or y?
y
Let a = -1516 + 1323.2. Let u = -193 - a. Which is smaller: 5 or u?
u
Let p(q) = -5*q**3 + 75*q + 226. Let i be p(-3). Are 132 and i equal?
False
Let m(p) = 27*p - 190. Let u be (11*(-12)/48)/(1/(-4)). Let y be m(u). Which is smaller: 109 or y?
y
Let n be (165088/(-804))/((-4)/6). Suppose y = -2*d + 298, 4*y + d = 3*y + 303. Do y and n have the same value?
True
Let j be (-12)/(-504)*(0 + 1/(-1)). Let x(b) be the third derivative of b**6/120 - b**5/60 + b**4/8 - b**3/3 - 10*b**2. Let u be x(1). Which is greater: j or u?
u
Let d = -247.244 - -0.244. Let f = 247.1 + d. Which is smaller: 298 or f?
f
Let m = -727 - -732. Let a be m/((-10)/18) + 9. Let c = 0.05 + -0.047. Is c > a?
True
Let r(b) = -79*b + 520. Let g be r(9). Is -11 at least as big as g?
True
Let t = 264927 - 264877. Let a = 2766805/54369 - 3/6041. Is t at least as big as a?
False
Let u = -20 - -75. Let m be 2/u*5/(-2 - -1). Which is greater: m or -1/32?
-1/32
Let f = 44831.14 - 45246. Let t = -409 - f. Let d = -0.14 - t. Is 1/3 less than d?
False
Let f = 1832 - 1829. Which is smaller: -224 or f?
-224
Let b = 1040133/97 + -10723. Are 4 and b unequal?
True
Let v be ((-33)/1)/(2/4). Let i = v - -994/15. Let m = -3109 + 3109.1. Which is greater: i or m?
i
Let d = 3226 - 3227. Which is smaller: -2/3729 or d?
d
Let f(b) = 2*b**2 - 173*b + 49. Let q be f(85). Is -218 <= q?
True
Suppose 33 = -2*v + 3*s + 168, 0 = 5*v - s - 305. Let k = v - 38. Let l = -23 + k. Which is bigger: 1/4 or l?
1/4
Let a(z) = z**3 - 18*z**2 - 2*z + 29. Let b be a(-16). Let l = 8219495/951 + b. Which is smaller: l or -1?
-1
Let u = 33.95951 - -0.05049. Let o = u + -34. Which is bigger: o or -19?
o
Suppose p + 7 = 10. Suppose -i - 2*k + 6*k - 58 = 0, -p*i = 2*k + 104. Which is smaller: -33 or i?
i
Let h be (544/20)/(4/10) - 1. Suppose -h*g + 10 = -66*g. Let i be 2/6 - ((-740)/3)/g. Is 25 equal to i?
True
Let w = -20399 - -20552. Is 56 less than w?
True
Let m(q) = -2*q**3 + 2*q**2 - 15*q - 12. Let p be m(-4). Let t = -183 + p. Is t at least as big as 25?
True
Let o(r) = -r**3 + 28*r**2 - 2*r + 57. Let f be o(28). Let m be (-5 + 5)/((f - 4) + 5). Is m bigger than -2/937?
True
Let f = -4007 - -35819/9. Let r = f + 317/18. Is 0 less than r?
False
Suppose -13 = 2728*o - 2741*o. Is o > 9/1712?
True
Suppose 308 + 218 = 61*h + 160. Which is greater: h or -1/676?
h
Let v(i) = -2*i**3 - 1. Let q(j) = -j**2 - j + 3. Let o be q(-2). Let r = 0 - o. Let k be v(r). Is 1/33 equal to k?
False
Let z = 716 - 708. Which is smaller: z or 26?
z
Let f(q) = 31*q - 3281. Let l be f(102). Is l <= -172?
False
Let j(z) = z**3 + 11*z**2 - 15*z - 34. Let d be j(-12). Suppose -d*b - 6 = 0, -7*b = y - 8*b - 6. Which is bigger: y or 11/3?
11/3
Let t = 124 - 112. Suppose 0 = t*v + 18 - 102. Suppose -g = -v*g. Which is greater: g or -3?
g
Suppose 11*w - 416 = -86. Suppose -9*g - 15 = w. Is g smaller than -1/7?
True
Let d = 0.1 + -0.3. Suppose -125*x = 3*c - 120*x + 57, 3*c - 4*x = -30. Is d at least as big as c?
True
Let c = -814490035/33636 - 33/11212. Let f = 24144 + c. Let n = -285/4 - f. Which is bigger: n or 1?
1
Suppose 3*u - 219 = -5*w, -w - 33 = -2*w + 3*u. Let k = -41 + w. Let v be 2/6*k*-1. Which is smaller: v or -1/2?
-1/2
Let v = 22125 + -22187. Which is bigger: v or -1040/17?
-1040/17
Let g = 88861/6085 + -4/1217. Let s = 15 - g. Which is smaller: s or -66?
-66
Let j = 26 + -51/2. Let h = 3339 + -3339.187. Is j <= h?
False
Suppose -350*b + 341*b + 576 = 0. Suppose -64 = 3*v - 4*y, -2*v + 4*y = -16 + b. Is v less than or equal to 8?
True
Let m be ((-3)/12)/(-3 - 665/(-56)). Let z be (((-12)/45)/(-4))/((-2)/6). Is m at most z?
False
Let y(s) = -s**3 + 20*s**2 + 25*s - 92. Let h be y(21). Let z be (2/(-5))/(h/880). Which is bigger: 0 or z?
z
Let f = -551 - -508.9. Let d = f + 39. Let b = 328/845 + 2/169. Is d less than or equal to b?
True
Suppose 5*k - 2581 = -r + 13542, -k + 3 = 0. Which is bigger: r or 16107?
r
Let t = 38839 - 24349. Which is greater: 14491 or t?
14491
Let h be (-18 + (-1780)/(-100))*-1332. Is 265 at least as big as h?
False
Let r = -12 + 18. Let j(l) = -4*l + 2. Let m be j(r). Let p = -2251/76 + 140/19. Which is bigger: m or p?
m
Let k be ((-3198)/12)/(-41) - 3/1*2. Which is bigger: k or 67/2?
67/2
Let y(b) = b**3 + 14*b**2 + 35*b + 286. Let w be y(-13). Is w equal to -2/46255?
False
Let u be (-462)/(-66) + (7/28 - (-86)/(-10)). Let l(t) = -t**2 - 2*t - 1. Let f be l(-2). Is f at most u?
False
Let l = 1166.374 - 1167. Let p = -3.026 - -3. Let v = p - l. Is -1 >= v?
False
Let b = 10 - 10.11. Let u(d) = d**3 + 7*d**2 + 6*d. Let t be u(-6). Which is greater: b or t?
t
Suppose 0 = 34*n - 1236 - 22360. Which is smaller: 695 or n?
n
Let j(x) = -x**3 - 4*x**2 + 9*x + 8. Let o be j(-5). Let v be (-10)/o*15/25. Is -12.4 at most as big as v?
True
Let k be 2200/(-60)*12/10. Is k >= -41?
False
Let f = 4450573/302 - 14737. Which is smaller: 26 or f?
f
Let t = -0.1965 - 0.0035. Is 52 at most as big as t?
False
Let r = -2.533 - -62.533. Which is smaller: r or 27?
27
Let u = 0.37 + 11.63. Let o = -13 + u. Suppose 0 = 40*h - 38*h + 22. Which is bigger: h or o?
o
Suppose 0 = 3*l + 32 - 41. Let c be (6 + -1)*(-2)/(-5). Suppose 3*m = c*h - 44, 2*h - 70 = -2*h - l*m. Is 18 less than h?
True
Let g(p) = -13*p + 72. Let n be g(-15). Let s = n - 264. Is 72/17 less than s?
False
Let m be 3 - ((-4)/(-11) + 332/(-913)). Which is greater: 235/78 or m?
235/78
Let m(o) = o**2 + 1415*o + 14001. Let u be m(-10). Let t = -0.71 - -0.01. Let g = t + -0.3. Which is smaller: g or u?
u
Let p be (-16)/(-32) + 14/4. Suppose p*q = -4*g - 104, 29 - 137 = 4*g + 5*q. Which is smaller: g or -10?
g
Let s(h) = 257*h - 76. Let k be s(2). Let i = 437 - k. Which is greater: i or -9/68?
-9/68
Let h(o) = -6*o**3 - 2*o**2 + o + 2. Let m be h(-1). Let w(d) = -2 - 1 - 7*d**2 + d**3 + 11*d + m - 6*d. Let x be w(6). Is x less than or equal to -3?
True
Let k = -1024.4 + -378.6. Which is bigger: k or 2/7?
2/7
Let w = -805 + 8256. Which is smaller: w or 7453?
w
Let w(q) = -q**3 - 83*q**2 + 99*q + 1075. Let v be w(-82). Which is smaller: -13768 or v?
-13768
Let q be 60/21*1*35/10. Suppose 0 = 3*p - r + 6, p - q = 6*p - 5*r. Let u be (p + (-17)/(-10))/(9/12). Do u and 0 have the same value?
False
Let y = 7/479 - -276/13891. Which is smaller: y or -12?
-12
Let d be (3*14/(-6) + -5)/(-82). Let p(x) = -x - 2. Let h be p(-3). Let o be (-5 - -5)/(-3*h/(-3)). Do o and d have different values?
True
Suppose -3 = p - 4. Let q be (-1 - -3)*p/(-8). Let f = -0.087121 - -0.187121. Is q bigger than f?
False
Let v be (-21 + (-14 - -29))/1550. Is -1 at most as big as v?
True
Let a(n) = -67*n + 1028. Let r be a(16). Which is smaller: -20 or r?
r
Let y be (-2 + 1)*(4 + (-22 - 0)). Suppose 5*s + y*s = 0. Is s at least as big as 5/53?
False
Let v(z) = z**3 - 24*z**2 - 24*z - 32. Suppose 82*h = 83*h - 25. Let n be v(h). Let s be 2/1 - 70/n. Is s smaller than 59/5?
False
Let a be 1*15/10 - (-16005)/(-2210). Let c = a - -67/13. Let g be 1*-2*2/4. Which is bigger: g or c?
c
Suppose 69*c = 167*c. Let j be (-1)/2*2/(-131). Which is greater: c or j?
j
Let v(y) = -612*y - 3672. Let f be v(-6). Which is smaller: -1/3294 or f?
-1/3294
Let f(y) = 8*y**2 + y. Let p be f(1). Let n = -6946/9 + 48628/63. Which is bigger: p or n?
p
Let b = -22018 + 22011. Which is greater: b or -445?
b
Let a = 659 + -669. Let u be a/(100/(-95)) - 9. Do u and 1.48 have different values?
True
Let d be ((-338)/10)/((-445)/(-534) - 431/510). Is d smaller than 2874?
True
Let m(t) = -4161*t**3 + t**2 + t - 1. Let q be m(-1). Let k be (-2506)/q - (-5)/50*6. Which | {
"pile_set_name": "DM Mathematics"
} |
485, -2968, -4451?
-5934
What comes next: -2020, -2025, -2030, -2035?
-2040
What is the next term in 69, 221, 475, 831?
1289
What is the next term in 7737, 7385, 7033?
6681
What is the next term in 45, 56, 81, 120, 173, 240, 321?
416
What is the next term in -28199, -28205, -28213, -28223, -28235?
-28249
What comes next: 303789, 303786, 303781, 303774, 303765, 303754, 303741?
303726
What is next in -10669, -21333, -31997, -42661?
-53325
What is next in -578, -472, -366, -260, -154, -48?
58
What is the next term in 206, 847, 1886, 3299, 5062, 7151?
9542
What is next in 1298, 1295, 1294, 1295?
1298
What is the next term in -9937, -39740, -89413, -158956, -248369?
-357652
What comes next: 58, 151, 246, 343?
442
What comes next: -10051, -20101, -30151, -40201, -50251, -60301?
-70351
What is the next term in -139, -239, -315, -367, -395, -399?
-379
What is the next term in 83, 424, 1025, 1886?
3007
What comes next: -1881, -7428, -16639, -29514?
-46053
What is next in -634, -1215, -1806, -2413, -3042, -3699, -4390?
-5121
What is next in -269, -1318, -3105, -5642, -8941, -13014, -17873, -23530?
-29997
What is next in 312, 295, 280, 267, 256?
247
What is the next term in -1265093, -1265092, -1265091, -1265090?
-1265089
What comes next: -10856, -10867, -10878, -10889?
-10900
What comes next: -24451, -24536, -24621, -24706, -24791?
-24876
What is next in -601613, -601615, -601617, -601619?
-601621
What comes next: -536, -564, -604, -650, -696, -736?
-764
What is next in 3616, 7311, 11030, 14767, 18516, 22271, 26026?
29775
What comes next: -303, -324, -357, -408, -483, -588, -729, -912?
-1143
What comes next: -2337, -4661, -6981, -9297, -11609, -13917, -16221?
-18521
What is next in -731700, -1463407, -2195114, -2926821, -3658528?
-4390235
What is next in 71, 269, 605, 1085, 1715, 2501, 3449?
4565
What comes next: -347, -2572, -8621, -20408, -39847?
-68852
What is next in 18471, 36944, 55417?
73890
What is next in -42910, -42884, -42846, -42802, -42758, -42720, -42694, -42686?
-42702
What is the next term in 899, 3525, 7881, 13967?
21783
What comes next: -7418, -7417, -7416, -7415?
-7414
What is the next term in -1226, -1630, -1210, 34?
2102
What is next in 4848, 9696, 14544, 19392?
24240
What is next in 67, 1152, 4083, 9778, 19155, 33132, 52627?
78558
What is the next term in -525258, -2101008, -4727258, -8404008, -13131258, -18909008, -25737258?
-33616008
What comes next: 230, 897, 2014, 3587, 5622, 8125, 11102, 14559?
18502
What is next in -1554, -3111, -4662, -6207?
-7746
What is the next term in -970, -1936, -2902, -3868, -4834?
-5800
What is the next term in 664686, 664682, 664680, 664680?
664682
What is next in 4500, 17998, 40488, 71964, 112420, 161850, 220248?
287608
What is the next term in 556, 2257, 5094, 9067?
14176
What comes next: 1114, 1163, 1248, 1375, 1550?
1779
What is the next term in 118, 336, 684, 1162, 1770?
2508
What is the next term in -4752, -10014, -15276?
-20538
What comes next: 751, 1662, 2573, 3484, 4395?
5306
What comes next: -36906, -36904, -36902, -36900, -36898, -36896?
-36894
What is next in -279, -566, -853, -1140?
-1427
What comes next: -17203, -34632, -52061, -69490?
-86919
What is the next term in -59493, -118989, -178495, -238017, -297561, -357133?
-416739
What is the next term in -145, -539, -1183, -2077, -3221?
-4615
What is the next term in -111287, -222585, -333883, -445181, -556479?
-667777
What is the next term in 112511, 112471, 112431, 112391, 112351?
112311
What is the next term in 1334, 4128, 6922?
9716
What is next in -25, -8, 9?
26
What is next in 707, 1191, 1675, 2159, 2643, 3127?
3611
What is the next term in -3385, -13487, -30215, -53479, -83189?
-119255
What is the next term in 2210, 4401, 6594, 8789?
10986
What is next in -176, -183, -162, -101, 12?
189
What is the next term in -2863, -5738, -8607, -11464, -14303, -17118?
-19903
What is next in 1507714, 1507713, 1507712, 1507711, 1507710?
1507709
What is the next term in -388, -619, -850?
-1081
What is the next term in -5266, -10510, -15732, -20932?
-26110
What comes next: -13886, -13877, -13862, -13841, -13814?
-13781
What is next in 27148, 54346, 81534, 108706, 135856, 162978, 190066?
217114
What comes next: 21318, 42633, 63948, 85263?
106578
What comes next: -1864, -3713, -5562, -7411, -9260?
-11109
What comes next: -488, -586, -690, -800, -916, -1038?
-1166
What is next in 1074, 1156, 1372, 1788, 2470, 3484, 4896, 6772?
9178
What comes next: -6, 31, 52, 51, 22, -41?
-144
What is next in -44136, -44068, -43996, -43920, -43840, -43756?
-43668
What comes next: 6678, 26565, 59702, 106089, 165726?
238613
What is next in 118, 178, 232, 280?
322
What is next in 102196, 102185, 102158, 102109, 102032, 101921?
101770
What is next in 1976842, 1976831, 1976804, 1976755, 1976678, 1976567, 1976416?
1976219
What is next in -2634, -5281, -7928, -10575, -13222, -15869?
-18516
What comes next: -257310, -257315, -257320?
-257325
What comes next: -17465, -17460, -17453, -17444, -17433?
-17420
What is next in -433, -433, -431, -427, -421, -413, -403?
-391
What comes next: -23446, -46901, -70358, -93817?
-117278
What is the next term in 1295, 1609, 1923?
2237
What is next in 1227, 2445, 3649, 4839, 6015?
7177
What is next in 414, 521, 628?
735
What is next in -38817, -38818, -38829, -38856, -38905, -38982, -39093, -39244?
-39441
What is the next term in 132, -3, -288, -729, -1332?
-2103
What comes next: 164, 429, 868, 1481, 2268, 3229?
4364
What is the next term in -17910, -17909, -17904, -17895, -17882, -17865?
-17844
What comes next: 472, 950, 1428, 1906, 2384?
2862
What is the next term in -20, 6, 32?
58
What is the next term in -56047, -56045, -56043?
-56041
What is next in 2631, 2754, 2947, 3210?
3543
What is next in 92, 148, 192, 218, 220, 192, 128, 22?
-132
What comes next: -29312, -29308, -29304?
-29300
What comes next: -1163, -1664, -2173, -2690, -3215?
-3748
What comes next: -729810, -729808, -729806, -729804?
-729802
What is the next term in 76, 49, -30, -191, -464, -879, -1466, -2255?
-3276
What comes next: 651, 2186, 4739, 8310?
12899
What comes next: -2587, -5182, -7777?
-10372
What comes next: -742, -2969, -6670, -11839, -18470, -26557, -36094?
-47075
What is next in -264, -557, -800, -999, -1160, -1289, -1392?
-1475
What is next in 381, 689, 997, 1305, 1613?
1921
What is the next term in 10833, 43368, 97589, 173496, 271089?
390368
What comes next: -114, -88, -56, -30, -22, -44?
-108
What comes next: -7045, -7046, -7061, -7096, -7157, -7250?
-7381
What is the next term in 1172, 2298, 3424, 4550, 5676, 6802?
7928
What comes next: -5285, -5282, -5279?
-5276
What is next in 1992, 3037, 4780, 7221, 10360?
14197
What comes next: -1927, -1970, -2111, -2404, -2903, -3662, -4735?
-6176
What comes next: -177, -304, -509, -786, -1129, -1532, -1989, -2494?
-3041
What is next in 3113, 3097, 3069, 3023, 2953, 2853?
2717
What is the next term in -1916, -3918, -5942, -7994, -10080?
-12206
What comes next: 47755, 47762, 47773, 47788, 47807, 47830?
47857
What comes next: -5919, -6094, -6385, -6792, -7315?
-7954
What is next in -202915, -202905, -202881, -202837, -202767, -202665?
-202525
What is next in -2122, -2212, -2300, -2386?
-2470
What comes next: -991748, -991750, -991752, -991754?
-991756
What comes next: 559578, 1119159, 1678740, 2238321, 2797902, 3357483?
3917064
What is next in -374, -1406, -3130, -5546, -8654, -12454, -16946?
-22130
What comes next: 762, 796, 840, 894?
958
What comes next: -9979, -9996, -10013, -10030, -10047, -10064?
-10081
What is next in -988, -3861, -8656, -15379, -24036, -34633?
-47176
What is the next term in -111666, -223334, -335002, -446670, -558338, -670006?
-781674
What is the next term in 50, 151, 256, 365, 478, 595?
716
What is next in 797, 1575, 2377, 3215, 4101?
5047
What is next in -28391, -28399, -28407, -28415, -28423?
-28431
What is the next term in -1466, -9672, -31942, -75308, -146802, -253456, -402302?
-600372
What comes next: 46106, 46091, 46056, 45995, 45902, 45771, 45596, 45371?
45090
What is the next term in -750, -1470, -2190, -2910, -3630?
-4350
What comes next: 1484, 1492, 1504, 1520?
1540
What comes next: -1183, -842, -267, 548, 1609, 2922, 4493, 6328?
8433
What is the next term in 197, 233, 299, 407, 569 | {
"pile_set_name": "DM Mathematics"
} |
te 39 + -36 - (-130 + 179).
-46
Evaluate (19 + 2 - -31) + -71.
-19
Calculate -35 + -49 + 28 - 16.
-72
What is 4 - 1 - (-18 - (4 - (-1 - -16)) - -103)?
-93
(526 - 240) + -171 + 23
138
What is the value of 2 + 5 + 55 + (-72 - 0) + -2 + 55?
43
74 + (-115 + 34 - -81)
74
What is (-60 + 77 - -10) + -83?
-56
What is the value of 34 + 43 + -6 + -40 + (2 - 2 - 5)?
26
42 - (45 - (34 + -41))
-10
What is (-8 - (-9 + (-4 - (1 - (6 - -4))))) + 50?
46
What is -169 + (1 - -100) - ((0 - -1) + -14)?
-55
Evaluate 73 - (0 + 9 + (-4 + -67 - -64)).
71
(-65 - 0) + 1 + 269 + -255 - 18
-68
Evaluate -11 + -62 - (388 + -428).
-33
-2 - -28 - -1 - (-956 - -973)
10
What is the value of (-301 - -289 - (-1 + 0)) + 23?
12
0 - -47 - 13 - 14 - (1 + -48)
67
Evaluate 8 - (-32 - -17 - (-13 + 0) - -10 - 48).
48
What is the value of 116 + (22 + -33 + 3 - 5)?
103
-2 - ((2 - 16) + 38 + -14) - -40
28
-47 + 1 + (-3 - -1) + -111 + 115 - 4
-48
Evaluate (0 - (-4 + 10)) + 257 + -238 - (-6 - 0).
19
What is 11 + -92 + 160 + -122?
-43
Calculate -97 + (-41 - -36 - (1 + 2)) + 12.
-93
What is (9 - 2) + (2894 - 2894)?
7
What is the value of 42 + (22 - -8) + -28 + 10?
54
What is -70 + 25 - -45 - ((2 - -2) + -5 + -16)?
17
What is (-5 - -11) + -6 + -56 + 60?
4
What is the value of 4 + 21 + 2070 + -1961?
134
What is the value of 3 + 0 + 7 + (0 - 13) + 10?
7
1 - 0 - (-43 + (93 - 58))
9
What is -37 - (-18 + 58 - 25) - (-11 + -2)?
-39
53 + -2 + 49 - 8
92
(-31 - -11) + 1 - 35 - (2 + 0 + 3)
-59
What is (8 - 33) + 11 - (94 + 8 + 7)?
-123
What is 11 - (-7 - (8 + -65 + 11 - (8 - -1)))?
-37
What is (-6 + -1 + -3 - -9) + -7 + (-6 - -9)?
-5
What is 60 + -160 + 75 + -6?
-31
What is the value of 1 - (-5 + 1 + -2) - (331 + -180 - 161)?
17
What is the value of 1 + 48 - (14 + (8 - (18 - 6)))?
39
What is the value of (8 + 28 - 23) + -23 - 19?
-29
What is the value of 45 - (-18 + 10) - (1 - (-4 - 6))?
42
(6 + -30 + 58 - 31) + (-1 - -6)
8
What is the value of (3 - 0) + 1 + (3564 - 3573) - (-55 - 1)?
51
What is 6 + 2 + (-10 - -1) + 23?
22
What is -47 - 56 - (-3 - 14) - (-10 + -3)?
-73
Calculate 514 - 513 - (-50 + 3 + (-2 - -3)) - -9.
56
Evaluate 25 + (3 - -7) + 0 + -17 + -4 - -6.
20
What is -10 + 2 - (8 + (14 - 13) + -42)?
25
What is the value of -104 + (6 - 2) + -26 + -23 + 13 + 48?
-88
-35 - (8 - (60 - 0))
17
Calculate -66 - -12 - (-1 - (25 + 13)).
-15
What is the value of -3484 + 3477 - (-1 + -19)?
13
Evaluate 2 + -8 + 15 + 32 + -45.
-4
-1 + (15 + -12 + -3 + 7 - -123) + -9
120
What is (7 + 2 - (18 - (17 - -3))) + -2?
9
What is -7 + (10 - 17) + 5 - (13 - -2)?
-24
Evaluate (8 + -2 - -3 - (27 + -28)) + (-1 - -105).
114
-2 + 3 - -76 - (-249 + -230 + 487)
69
Evaluate 1 + -8 + (-2903 - -2922) + 2 + -4 + 23.
33
7 - (39 + (22 - 65) - (-2 + 1 - -1))
11
(18648 - 18535) + (0 - 39)
74
-252 - -267 - (-3 + 25) - ((1 - 96) + -1)
89
What is the value of 10 + (6 - 3 - 5) + -1 + (290 - 254)?
43
What is the value of 20 + -79 - (-103 + -33)?
77
What is the value of (-31 - (14 + -30)) + (21 - -91)?
97
Evaluate -31 + 6 + 8 + 18 - (-2 - 51 - 0).
54
Evaluate 8 - (-9 + 13 - (10 + (6 - 13))).
7
What is the value of -15 + -12 - -55 - 19 - (0 - (2 + 37))?
48
Evaluate -1 + (24 - ((31 - 13) + -7)).
12
What is the value of (46 + 4 - 1) + (51 - (72 - 8))?
36
Calculate -2 + -4 + (-8 - -4) + 11.
1
What is the value of 10 - (3 + -28 + (-141 - -161))?
15
Evaluate -271 + 295 - (5 - (46 - 2)).
63
What is the value of 4035 - 4004 - (-1 - (1 - 19))?
14
Calculate -28 + -43 - -33 - -82.
44
Evaluate -2342 - -2223 - (1 + -80).
-40
2 - -9 - (-22 + (-5 - 14)) - (0 + -2)
54
What is -6 - (1 + -8 + 6) - (-19 + 1 - -18)?
-5
What is the value of (-4 - -1 - (33 + -13)) + -1 + 2?
-22
Calculate 3 + -90 - ((-16 - -12 - -7) + (19 - 23)).
-86
What is the value of (-32 + (108 - -4) - 8) + 2?
74
Evaluate 3 - 96 - (144 + -271).
34
(105 - 109) + (-5 - 5) + -3
-17
What is the value of 0 + -37 - (-55 - -48 - (-1 - -2) - -6)?
-35
What is -43 + -20 + 70 + 14 + (-2 - (-2 - 1))?
22
What is -14 + -26 - (-15 + (-13 - -6))?
-18
What is 8 - 3 - (-42 + 6 + -9 - (-60 + 63))?
53
-134524 + 134496 + -38 + (1 - 1)
-66
What is (10 - (-17 + 18)) + (-105 - -70)?
-26
Calculate -82 + (79 - 37) + 98.
58
Calculate (-1 + -2 + 7 - 39) + -223 + 209.
-49
(-10 - -4 - 8 - 6) + 60
40
Calculate -42 + -25 + 31 + 24 - -21.
9
Calculate -1 + 1 + (-9 - -46) - (-156 - -168).
25
What is -1 - -19 - ((33 - 69) + 103)?
-49
What is (52 - (63 - -80)) + 13?
-78
Calculate (22 - 4) + (17 - (32 - 25)) + 1 + -5.
24
What is the value of 38 + (-50 - (-20 + -20))?
28
Calculate -75 + (86 - 24) + -13.
-26
(11 - 54) + -58 + 50
-51
Calculate -50 + 45 + (-40 - 35) + -3.
-83
What is 35 - ((-250 - -269) + 1 + -17)?
32
Evaluate -1 - (121 + -10 + -111).
-1
22 + -25 + -37 + -4 + -3 + -5
-52
What is 1 + -17 - (-957 - -921)?
20
What is the value of -28 + 38 - (-3 - (-31 + (-18 - -9)))?
-27
What is -24 + (-6 - 0 - (3 + -15 - -11))?
-29
What is the value of 60 - (-4 - (-16 + 26) - -17)?
57
Evaluate 130 + -55 + -73 - (5 + -1).
-2
What is (-26 - 12) + 6 - 55 - -32?
-55
Evaluate (-3 - (-28 - -1)) + (22 - 32) + -2 - -129.
141
Evaluate (101 - (248 + -132)) + (17 - -1).
3
Evaluate (3 - 88) + 23 - (-3 + 3) - (-8 - -14).
-68
Calculate -1 + 22 - (-527 + 527) - -9.
30
What is the value of 17 + 4 + (2 - (37 - -8))?
-22
What is (-41 - 1) + 5 - (6 + -20 - -4)?
-27
What is the value of 25 - ((-19 - 2) + (-359 - -343))?
62
Calculate 2 + -4 + (0 - (14 + -18) - 9).
-7
What is 57 + -16 + -369 + 265?
-63
Calculate 33 + 22 + 63 + -119.
-1
1 + 55 + -11 + -18 + 12
39
Evaluate 12 + -4 - (-15 - 17).
40
Evaluate -13 - (18 + -13 - (-3 - -15)).
-6
What is the value of 54 - (6 + -13 + (15 - (-14 - (5 - 15))))?
42
What is the value of -9 - -6 - (-2 + 50)?
-51
Evaluate -110 - -74 - -50 - (5 - -2).
7
Evaluate 2 + -6 - (59 + -57 + (3 - 1) + -105).
97
What is the value of 2 + 1 + 0 + (1324 - 1301)?
26
What is -126 + -29 + 2 + -40 + 63 + -19?
-149
What is the value of -3 + 16 + 220 + -206 - -14?
41
-93 - (-10 - (86 + -59))
-56
What is (-8 + 24 - 28) + (1 - 13)?
-24
What is 0 - -1 - (-2 + -40 - -16 - -124) - 10?
-107
What is the value of (-6 - -66 - 105) + 73?
28
What is 0 - -16 - ((-86 - -53) + 47) - -11?
13
Evaluate (14 - 13) + -13 - (5 - -37) - -2.
-52
What is (-20 - (-25 - -12)) + 12 + -13?
-8
What is -86 + (80 - (20 - -8))?
-34
(21 - (65 + -13) - (-6 - -1)) + 14 + 85
73
What is (-6 - -3) + -4 + 7 + 14?
14
(50 - -36) + (-182 - -63)
-33
Calculate (-10 - (1 - 1)) + 1 - (-110 + 115).
-14
Calculate -71 + 27 + -3 - -36.
-11
Calculate -394 + 265 - (-1 + -12 + (-25 - -24)) - 5.
-120
Calculate (10 - -1) + -15 - 13 - -63 - (3 + -1).
44
What is the value of 68 + -52 + 1 + (-3 - -3)?
17
(16 - (20 - 6)) + -13 + 48 + 3
40
Calculate 90 + -66 - (6 - -49).
-31
What is the value of 95 + -6 + 18 + (-6 + -13 - -7)?
95
45 - (-8 + 9 + 1)
43
What is the value of (33 - 20) + -28 + 8 + -7 - (16 + -23)?
-7
Evaluate 5 + -21 - 92 - -82.
-26
Evaluate 2 + -2 + -2 + 9 - (-2460 - -2448).
19
Evaluate 101 + 6 + (-5 - (0 - -2)) + -4.
96
What is (-1 - -7) + 91 + -31 + -4?
62
-16 - ((13 - (17 + -15)) + -119 - 12)
104
146 - 133 - (3 + -8 - -3) - 7
8
What is the value of (8 - 22 - -55) + -12 + 7?
36
What is the value of -105 + -14 + (5 - (0 - 5)) + -11 + 6?
-114
(15 - (11 + -51 + -50)) + -49
56
Evaluate -3 - (-4 + 13) - -15 - (-2 + 2).
3
(-10 + (-1 - -5) - 2) + (7 - (5 - 4))
-2
Calculate -1 - (-13 - -76) - (146 - 174).
-36
What is -63 + -7 + -41 + 36?
-75
Evaluate (-11 + 19 - 8) + (-116 - -129).
13
Calculate 2 - (0 - -91) - ((26 - (-21 - -9)) + -37).
-90
Calculate 2 + (118 - 275 - -19).
-136
Calculate 157 - 137 - (-4 + 23).
1
What is the value of -2 + 20 - (-136 - -149) - (-61 - 3)?
69
Evaluate -112 + 47 + 54 + (-4 - -19).
4
Calculate 15 - (-307 + 325 - (3 + 2)).
2
What is -100 - (-30 + (-31 - -7))?
-46
Evaluate (-3 - 2 - 22) + (-86 - -101).
-12
88 - (-7 + 1 - (86 - 109) - 11)
82
Calculate (-3 - 33) + -28 + 26 + -8.
-46
-19 - ((-47 - -37) + 20) - (-1 - -1 - -10)
-39
-2 + (11 - (-12 + -15)) + 5
41
Evaluate (-1 - (-1 - 1)) + -128 - (-203270 + 203274).
-131
What is 116 - (-1 + 1 - -2) - (-6501 + 6516)?
99
What is the value of -38 - (-70 + -79 + 53)?
58
What is (80 + -136 - -36) + 72?
52
Evaluate -1 + -4 - (-112 + 60 + 50).
-3
Evaluate (-31 - (102 + -195)) + 9 + 2.
73
What is 98 + -57 - (3 - 23)?
61
Evaluate | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from rmrjrmarlr?
1/9
Calculate prob of picking 3 s when three letters picked without replacement from iisssssiisiiis.
5/52
Calculate prob of picking 1 i and 2 g when three letters picked without replacement from {i: 9, g: 2}.
3/55
Calculate prob of picking 1 m and 2 c when three letters picked without replacement from mpmpcpccp.
1/14
Calculate prob of picking 1 i and 1 b when two letters picked without replacement from fubfuuiofuubuuoiobu.
2/57
Three letters picked without replacement from {e: 5, w: 7}. What is prob of picking 3 e?
1/22
What is prob of picking 4 v when four letters picked without replacement from {v: 8, l: 4, g: 2}?
10/143
Calculate prob of picking 2 s, 1 x, and 1 y when four letters picked without replacement from {y: 1, s: 2, x: 2}.
2/5
Three letters picked without replacement from {m: 9, w: 3}. What is prob of picking 2 m and 1 w?
27/55
Three letters picked without replacement from zzzzzzz. What is prob of picking 3 z?
1
Four letters picked without replacement from {s: 6, p: 6}. What is prob of picking 4 p?
1/33
Three letters picked without replacement from pmnmdtmppmttttt. What is prob of picking 1 t, 1 p, and 1 n?
18/455
Calculate prob of picking 4 h when four letters picked without replacement from hhhbhzzzxh.
1/42
Four letters picked without replacement from {j: 8, x: 5}. Give prob of picking 4 j.
14/143
What is prob of picking 1 t, 1 u, and 1 h when three letters picked without replacement from {h: 1, u: 1, f: 2, t: 2}?
1/10
Two letters picked without replacement from {s: 8, t: 1, v: 5, j: 5}. Give prob of picking 1 v and 1 s.
40/171
What is prob of picking 1 b and 1 u when two letters picked without replacement from fbbubgg?
1/7
What is prob of picking 2 n and 1 z when three letters picked without replacement from nnnznznn?
15/28
What is prob of picking 1 a and 1 l when two letters picked without replacement from {k: 1, a: 3, g: 2, u: 1, l: 1, r: 3}?
3/55
Three letters picked without replacement from ebbkeeeeebleklebebek. Give prob of picking 1 e and 2 l.
1/114
What is prob of picking 1 y and 1 s when two letters picked without replacement from {z: 1, g: 2, y: 2, k: 7, s: 3, a: 5}?
3/95
Calculate prob of picking 1 x and 1 m when two letters picked without replacement from xjfoxoolmxjxxxo.
2/35
Three letters picked without replacement from {q: 1, x: 9, p: 1, z: 6, j: 2}. What is prob of picking 1 q, 1 j, and 1 z?
4/323
What is prob of picking 1 p and 1 x when two letters picked without replacement from pxxpxxxxxxx?
18/55
Calculate prob of picking 1 e, 2 b, and 1 f when four letters picked without replacement from {a: 1, z: 3, f: 4, b: 2, w: 1, e: 7}.
7/765
What is prob of picking 2 v and 2 l when four letters picked without replacement from {l: 2, d: 1, v: 2}?
1/5
Calculate prob of picking 1 g and 1 p when two letters picked without replacement from gvgvvvvpvvwwwgwvggw.
5/171
Two letters picked without replacement from {n: 1, z: 2, a: 1, o: 1, c: 2, f: 2}. What is prob of picking 1 n and 1 o?
1/36
What is prob of picking 2 q when two letters picked without replacement from {z: 3, q: 12}?
22/35
Two letters picked without replacement from lyxeexyyexbyxrlxxeex. Give prob of picking 1 y and 1 b.
2/95
What is prob of picking 2 z and 1 j when three letters picked without replacement from {z: 3, j: 1, q: 1, t: 1, i: 1}?
3/35
Two letters picked without replacement from ohahhoah. What is prob of picking 2 a?
1/28
Three letters picked without replacement from nkh. Give prob of picking 2 h and 1 k.
0
Two letters picked without replacement from rsrsss. Give prob of picking 2 s.
2/5
Two letters picked without replacement from ssvwsshspsvshpvwhh. What is prob of picking 2 v?
1/51
Calculate prob of picking 1 x and 3 b when four letters picked without replacement from ebxbbebbxe.
2/21
Three letters picked without replacement from wdcwrwrcdddt. What is prob of picking 2 d and 1 c?
3/55
What is prob of picking 1 f and 1 b when two letters picked without replacement from {f: 8, b: 4, u: 8}?
16/95
Two letters picked without replacement from {j: 9, u: 7}. Give prob of picking 2 j.
3/10
Four letters picked without replacement from {t: 1, r: 4, y: 1, p: 3, l: 4, o: 2}. Give prob of picking 1 y, 2 l, and 1 o.
4/455
Calculate prob of picking 2 g and 2 p when four letters picked without replacement from {g: 15, p: 5}.
70/323
Two letters picked without replacement from {i: 2, u: 4, y: 8, g: 3, x: 2}. What is prob of picking 1 i and 1 u?
8/171
Four letters picked without replacement from ebxxmqceqcxmqex. What is prob of picking 1 b, 1 c, and 2 m?
2/1365
Two letters picked without replacement from {r: 14, y: 4}. What is prob of picking 1 y and 1 r?
56/153
What is prob of picking 1 g and 1 i when two letters picked without replacement from {s: 1, g: 3, i: 5, w: 5, n: 1}?
1/7
Two letters picked without replacement from znunzzzuuuznuuunu. Give prob of picking 1 u and 1 n.
4/17
Calculate prob of picking 1 v, 1 r, and 1 z when three letters picked without replacement from {r: 4, v: 3, b: 1, t: 1, z: 2}.
8/55
Four letters picked without replacement from ifeefc. What is prob of picking 1 i, 2 e, and 1 f?
2/15
What is prob of picking 1 j, 2 k, and 1 o when four letters picked without replacement from {o: 6, k: 9, s: 2, j: 2}?
36/323
Calculate prob of picking 2 k and 1 c when three letters picked without replacement from {c: 1, k: 3, g: 3}.
3/35
What is prob of picking 1 l and 2 h when three letters picked without replacement from {l: 2, h: 11}?
5/13
What is prob of picking 1 c and 1 b when two letters picked without replacement from tbbc?
1/3
Calculate prob of picking 1 e, 1 o, and 1 q when three letters picked without replacement from eoffffgeoqe.
2/55
Three letters picked without replacement from {r: 10, l: 10}. Give prob of picking 2 l and 1 r.
15/38
Two letters picked without replacement from ubmrrjv. Give prob of picking 1 m and 1 v.
1/21
Two letters picked without replacement from {f: 1, a: 2, k: 2}. What is prob of picking 1 k and 1 a?
2/5
What is prob of picking 1 m and 2 v when three letters picked without replacement from {w: 7, m: 3, v: 2, e: 3}?
3/455
Two letters picked without replacement from ejeeeejj. What is prob of picking 2 e?
5/14
Three letters picked without replacement from geegeeeeeeeeeege. Give prob of picking 2 g and 1 e.
39/560
Four letters picked without replacement from {z: 4, x: 2, f: 2}. What is prob of picking 2 z, 1 f, and 1 x?
12/35
Four letters picked without replacement from {u: 3, e: 4, r: 4}. What is prob of picking 2 e and 2 r?
6/55
Two letters picked without replacement from botdv. Give prob of picking 1 b and 1 d.
1/10
Two letters picked without replacement from pppbbypppyplp. What is prob of picking 1 b and 1 y?
2/39
Two letters picked without replacement from {i: 4, k: 1, m: 5}. What is prob of picking 1 m and 1 k?
1/9
Three letters picked without replacement from cvncvayyvcnyngnav. What is prob of picking 1 g, 1 n, and 1 c?
3/170
Four letters picked without replacement from xxxxxxx. Give prob of picking 4 x.
1
Calculate prob of picking 2 r and 1 w when three letters picked without replacement from {r: 2, w: 14, y: 1}.
7/340
What is prob of picking 1 w and 2 s when three letters picked without replacement from ppqspppspwwwppfvpfvp?
1/380
What is prob of picking 1 e and 3 r when four letters picked without replacement from {r: 6, x: 2, e: 7}?
4/39
What is prob of picking 1 s and 2 f when three letters picked without replacement from {f: 2, b: 1, u: 8, d: 2, l: 3, s: 1}?
1/680
What is prob of picking 4 l when four letters picked without replacement from lllll?
1
Three letters picked without replacement from {q: 1, u: 3, v: 2, p: 2, m: 2, e: 2}. What is prob of picking 1 u, 1 q, and 1 e?
3/110
Two letters picked without replacement from jccjwbq. What is prob of picking 1 b and 1 c?
2/21
What is prob of picking 2 d and 1 q when three letters picked without replacement from ddddddqddddbdb?
55/364
Two letters picked without replacement from {y: 1, d: 3, g: 5, s: 4}. What is prob of picking 1 g and 1 y?
5/78
Three letters picked without replacement from {h: 2, l: 6, t: 9}. Give prob of picking 1 t, 1 l, and 1 h.
27/170
Two letters picked without replacement from {f: 1, c: 4, p: 4, v: 1}. Wh | {
"pile_set_name": "DM Mathematics"
} |
m(s).
2*s - 2
Let m be ((-8)/10)/((-10)/75). Suppose -l + o - 3 = -4*l, -5*l + 2*o = m. Let v(n) = -5*n - 5 + 0 + n + l*n. Let y(j) = j + 1. Determine -v(g) - 5*y(g).
-g
Let n(p) = -3*p**3 - 8*p**2 - 11*p - 8. Let i(o) be the first derivative of -o**4/4 - o**3 - 2*o**2 - 3*o - 25. Calculate 11*i(q) - 4*n(q).
q**3 - q**2 - 1
Let j(p) = -4*p**2 - 3*p - 3. Let n(d) = -d**2. Determine j(i) - 5*n(i).
i**2 - 3*i - 3
Let f(v) = 1. Let b(r) = 4*r**2 + 4. Determine -b(k) + 4*f(k).
-4*k**2
Let r(f) = -5*f**3 - 4*f. Let a(c) = -c**3 - c. Calculate -4*a(v) + r(v).
-v**3
Let y(h) = -2*h**2 + 2*h + 9. Let r(l) = -7*l**2 - 3*l + 3. Let j(s) = -3*s**2 - s + 2. Let x(n) = -5*j(n) + 2*r(n). Calculate -13*x(t) - 6*y(t).
-t**2 + t - 2
Let z(p) = 103*p**3 + 6*p**2. Let n(t) = -t**3 - t**2. Calculate -6*n(g) - z(g).
-97*g**3
Let d(i) = -11*i**2 + 8*i + 12. Let g(r) = -1. Let p(s) = -d(s) - 4*g(s). Let k(h) = -3*h**2 - 3 - 2*h + 7*h**2 - h. Give 8*k(c) - 3*p(c).
-c**2
Let c(o) = o**3 - o**2 + 6*o - 8. Let x(d) = 17*d + 2*d**2 - 5*d**2 - 5 + 3*d**3 - 7 - 11. Calculate 17*c(a) - 6*x(a).
-a**3 + a**2 + 2
Let f = 8 + -5. Let y(w) = 3. Let i(t) = 2. Let c(m) = -5*i(m) + 3*y(m). Let l(r) = r - 1. What is f*c(a) - 2*l(a)?
-2*a - 1
Let j(v) = -11*v**3 - 5*v**2. Let q(u) = u**2 - 1. Let g(p) = -27*p**3 - 18*p**2 + 6. Let i(b) = -g(b) - 6*q(b). Give 5*i(s) + 12*j(s).
3*s**3
Let y(i) be the first derivative of 2*i**3/3 - 30. Let z(v) = -5*v**2. Calculate -11*y(r) - 4*z(r).
-2*r**2
Let z(p) = -4*p - 2. Let s(u) = -3*u - 2. Give 3*s(l) - 4*z(l).
7*l + 2
Let t(j) = -j**2 + 5*j + 1. Let y(p) = -p + 1. Let a be y(-3). Let x(i) = -1 - 7 + 8 - i. Give a*x(w) + t(w).
-w**2 + w + 1
Let l(q) = -q**2 + q + 1. Suppose -5*d = -3*r - d + 14, -4*d - 16 = -4*r. Let y(n) = 34 - 38 + 4*n + n**r - 6*n + 4*n**2. Give -4*l(g) - y(g).
-g**2 - 2*g
Let j(l) = 5*l**2 + 4. Let n(q) be the second derivative of 7*q**4/4 - q**3/6 + 17*q**2/2 + 9*q. Calculate 9*j(v) - 2*n(v).
3*v**2 + 2*v + 2
Let a(n) = -2*n**3 - 5. Suppose 1 + 14 = 3*t. Suppose -17 = -5*w - 2. Let f(x) = -2 + 2*x**w + x**3 - 4*x**3. Give t*f(r) - 2*a(r).
-r**3
Let x(c) = 9*c**2 - c**3 - 2 + 4*c**3 - 7. Let p(f) = f**3 + 2*f**2 - 2. Determine 9*p(d) - 2*x(d).
3*d**3
Let c(z) = 10*z**3 + 5*z**2 - 5*z + 5. Let h(l) = 10*l**3 + 4*l**2 - 4*l + 4. Give -4*c(y) + 5*h(y).
10*y**3
Let x(p) = -p + 3. Let n(s) = -2 + 2 - 6 + 7 - s. What is -3*n(z) + x(z)?
2*z
Let n(u) = -u**2 - 6. Let g(v) = 4*v**2 - 21. Let b(k) = -3*k**2 + 14. Let x(l) = -7*b(l) - 5*g(l). What is 7*n(p) + 6*x(p)?
-p**2
Let t(v) = -14*v - 17. Let l(s) = -4*s + 2. Let c be l(2). Let x(o) = o + 6 - o + 5*o + 0*o. Determine c*t(f) - 17*x(f).
-f
Let d(g) be the second derivative of 7/6*g**4 - 2*g - 11/6*g**3 + 0*g**2 + 0. Let k(a) = 5*a**2 - 4*a. Determine -4*d(x) + 11*k(x).
-x**2
Let z(t) be the first derivative of 2*t**3/3 - 2*t**2 - 2*t + 78. Suppose 5*b = -8 - 7. Let j(g) = -3*g**2 + 7*g + 3. Give b*j(h) - 5*z(h).
-h**2 - h + 1
Let n(w) be the first derivative of -9*w**2/2 - 2*w + 11. Let v(a) = -5*a - 1. Suppose -4*z + 25 = z. Give z*v(t) - 3*n(t).
2*t + 1
Let f(l) be the first derivative of -7*l**4/4 + 2*l**3 + 135. Let j(z) = -6*z**3 + 5*z**2. Let t = 3 - 0. Let b = 3 + t. Determine b*j(w) - 5*f(w).
-w**3
Let w = -26 - -20. Let m(s) = 3*s**3 - 6*s**2 - 6*s + 6. Let l(g) = -g**2 - g + 1. Give w*l(z) + m(z).
3*z**3
Let y(v) = -v**3 - v**2. Let x(c) be the first derivative of 3*c**4 + 11*c**3/3 - 3. Determine 2*x(a) + 22*y(a).
2*a**3
Let i(f) = -22*f + 4. Let o(t) = -14*t + 10. Let r(w) = -5*w + 3. Let y(m) = -2*o(m) + 7*r(m). What is 2*i(s) - 7*y(s)?
5*s + 1
Let f(k) = 2*k**3 - 4. Let r(x) = 2*x**3 - 5. Let l be (-20)/(-12)*(3 + -6). Give l*f(m) + 4*r(m).
-2*m**3
Let g(v) = 5*v**2 + 3*v - 1. Let o(c) = c**2 + 17*c + 8. Let h(x) = -6*x - 3. Let a(l) = -11*h(l) - 4*o(l). Calculate 3*a(t) + 2*g(t).
-2*t**2 + 1
Let r(q) = q - 8. Let s be r(6). Let y be -1 + 4*(-1)/s. Let v(z) = 20*z. Let g(m) = 7*m. Let a(b) = -11*g(b) + 4*v(b). Let f(h) = -h. Give y*a(u) + 4*f(u).
-u
Let n(w) = -4*w + 1. Let u(a) = a**2 - 12*a - 30. Let r be u(14). Let m(y) be the second derivative of -y**3/2 + y**2/2 + 2*y. Give r*n(v) + 3*m(v).
-v + 1
Let d(r) = r**2 + 2*r - 5. Let y be d(-4). Let t(x) = -3*x**3 + 2*x**2 + 17*x - 8. Let w(o) = o**3 - o**2 - 6*o + 3. Calculate y*t(b) + 8*w(b).
-b**3 - 2*b**2 + 3*b
Let j(d) = -161*d**2 - d**3 + 160*d**2 - 3 + 4. Let a(c) = 4*c**3 + 3*c**2 - c - 3. What is a(v) + 3*j(v)?
v**3 - v
Let z(o) be the second derivative of -o**5/5 + o**4/3 - 5*o**2/2 - 3*o. Let q(l) = 3*l**3 - 3*l**2 + 4. Give -3*q(m) - 2*z(m).
-m**3 + m**2 - 2
Let c(n) = -2*n**2 - 4*n - 3. Let d be c(-3). Let l(b) = -3*b + 1. Let g(x) = x**2 + 13*x - 5. Give d*l(p) - 2*g(p).
-2*p**2 + p + 1
Let u(i) = i**3 + 1. Let k(w) = 3 - 3*w**2 + 3*w**2 + 2*w**2 + w**2 + 2*w**3. Give k(x) - 3*u(x).
-x**3 + 3*x**2
Let j(l) = -4*l**2 - 2*l - 4. Let q(i) = 8*i**2 + 4*i + 8. Calculate 7*j(n) + 4*q(n).
4*n**2 + 2*n + 4
Let m(o) be the first derivative of -o**4/4 + 3*o - 4. Let s(k) = -3*k**3 + 5*k**3 + 0 - 4. What is -6*m(r) - 4*s(r)?
-2*r**3 - 2
Let o(r) = -5*r - 1. Suppose -4*a = -3*a - 5. Let g(z) be the first derivative of -9*z**2/2 - 2*z + 125. Determine a*o(c) - 3*g(c).
2*c + 1
Let d(k) = 19*k**3 - 4*k**2 + k. Let s(m) = -56*m**3 + 11*m**2 - 3*m. Give -11*d(a) - 4*s(a).
15*a**3 + a
Let v(k) = 2*k**2 - 7*k + 7. Let m(u) = u**2 - 3*u + 3. What is 14*m(q) - 6*v(q)?
2*q**2
Let a(z) be the third derivative of z**4/6 + 5*z**3/6 - 15*z**2. Let h(i) = 7*i + 9. Calculate 5*a(m) - 3*h(m).
-m - 2
Let r(c) = 3*c**2 - 8*c. Let p(d) = -16*d**2 + 40*d - 1. Determine 2*p(g) + 11*r(g).
g**2 - 8*g - 2
Let b(v) = v + 1. Let o(l) = -14*l - 10. What is -6*b(h) - o(h)?
8*h + 4
Let w(z) = -7*z + 4. Let k(s) = -48*s + 27. Determine 4*k(a) - 27*w(a).
-3*a
Suppose 1 = 4*p + 13. Let y(c) = -c**3 - c**2 + 3*c - 3. Let a(j) = 5*j + 1. Let n(q) = 0*q + 0*q - 1 - 4*q. Let i(z) = -5*a(z) - 6*n(z). Give p*i(u) - y(u).
u**3 + u**2
Suppose -v + 8 = 2. Let j(c) be the first derivative of -23*c**2/2 + 14*c - 1. Let l(s) = 8*s - 5. Calculate v*j(h) + 17*l(h).
-2*h - 1
Let s(h) = -4*h**2 + 6*h + 1. Let k(l) = 17*l**2 - 25*l - 5. Calculate 6*k(b) + 26*s(b).
-2*b**2 + 6*b - 4
Let j(x) be the second derivative of 7*x**3/3 - 2*x**2 + 11*x. Let q(y) = -y. Calculate j(m) + 12*q(m).
2*m - 4
Let f(l) = -5 + 2*l + 10 + 3*l - l + l. Let m be 1 - -1*(3 - 1). Let n(s) = -4*s - 4. Calculate m*f(d) + 4*n(d).
-d - 1
Let p(y) = y**2 + 8*y + 4. Let h(m) = m**2 + 1. Determine -3*h(o) + p(o).
-2*o**2 + 8*o + 1
Let q(w) = -5*w - 3. Let m(d) = -10*d - 5. Let v be (6/4)/((2/(-4))/1). Calculate v*m(n) + 5*q(n).
5*n
Suppose 4*i = 3 - 7. Let s(a) = -a**3 + 2*a**2 + 2. Let d(v) = 4*v**3 + 2*v**2 + 2. Let t(w) = -w**3 - w**2 - 1. Let q(f) = d(f) + 3*t(f). Give i*s(c) - 2*q(c).
-c**3
Let o(p) = -5*p + 3. Let y(a) = 4*a - 3. Give 5*o(h) + 6*y(h).
-h - 3
Let x(u) = u**2 + 25*u - 2. Let v(r) = -r + 1. Give -2*v(n) - x(n).
-n**2 - 23*n
Let f(s) = 3*s**2 - 5*s**2 + 7*s**2 + 1 - 4*s**2. Let y(b) = 2*b - 1. Determine -3*f(a) - y(a).
-3*a**2 - 2*a - 2
Let x(v) = 2*v**2 - 3*v - 2. Let m(z) = 2*z**2 - 4*z - 3. What is 5*m(i) - 6*x(i)?
-2*i**2 - 2*i - 3
Let t(f) = 9*f - 3. Let p(m) = m**3 - 8*m + 2. Calculate -5*p(u) - 4*t(u).
-5*u**3 + 4*u + 2
Suppose 0 = -4*f - 3*x - 37, 0*f = -3*f + x - 18. Let z(n) = n**3 + 7*n**2 - n - 1. Let i be z(f). Let d(y) = -2*y. Let a(u) = -u. Give i*a(g) - 2*d(g).
-2*g
Let d(c) = -8*c**2 + 9*c + 6. Let r(z) = -16*z**2 + 17*z + 11. What is -11*d(a) + 6*r(a)?
-8*a**2 + 3*a
Let l(x) = x + x**3 - 2 - 4*x**3 + 4*x**3. Let y = -661 + 660. Let n(m) = -m**3 + m**2 + m. What is y*n(p) + l(p)?
2*p**3 - p**2 - 2
Let v(i) = -5*i - 1. Let n(d) = d. Give -6*n(o) - v(o).
-o + 1
Let x(l) = -23*l**2 - 23*l + 16. Let c(b) = 8*b**2 + 8*b - 5. Give -17*c(g) - 6*x(g).
2*g**2 + 2*g - 11
Let t(o) = -17*o**2 - 13. Let a(x) = 4*x**2 + 3. What is 26*a(q) + 6*t(q)?
2*q**2
Let c(f) = -6*f**2. Let k(n) = -7*n**2. Let h be (-1 + (9 - 3))/(-1). Suppose 4*q - 4*o = 30 + 10, -28 = -2*q + 4*o. What is h*k(d) + q*c(d)?
-d**2
Let r(o) = -11*o**2 + 2*o + 2. Let c(f) = -f - 1. Calculate 2*c(k) + r(k).
-11*k**2
Let l(m) = 2*m**3 + 11*m**2 + 2*m. Let x(g) = -g**3 - 5*g**2 - g. Let r = 37 - 40. What | {
"pile_set_name": "DM Mathematics"
} |
10 + 13).
-27*r
Expand (-a + a + 3*a**2)*(346*a + 1539 - 1539).
1038*a**3
Expand (0 - 2*h + 0)*(-368*h + 72*h + 20559*h**3 - 20560*h**3) - 4*h + 4*h - h**4.
h**4 + 592*h**2
Expand (-1 + 2 - 10)*(0*o**2 + 2*o - 3*o - o**2) + (o + 3*o - 5*o)*(-2*o - 5*o + 5*o).
11*o**2 + 9*o
Expand 2*z + 4 - 4 - 23 + 23 - 8*z + (-5 + 3 + 5)*((1 + 2 - 4)*(-z - 2 + 2) - 4 - 3*z + 4 + 1 - 2*z - 1).
-18*z
Expand (-x**2 - 3*x + 3*x)*(0*x - x + 2*x) - 83*x**3 + 491*x**3 - 245*x**3.
162*x**3
Expand (30*x - 76*x - 3*x)*(4*x**3 - 3*x**3 - 4*x**3).
147*x**4
Expand (-5005 + 5015 + 77*f - 119*f)*(-2*f**4 - f + f).
84*f**5 - 20*f**4
Expand -2*z**3 - 2*z**3 + 2*z**3 + (-2 + 2 + z)*(4*z**2 - z**2 - 4*z**2) + (-15*z**2 - 32 + 32)*(-59 - 15*z + 59).
222*z**3
Expand (4 + 0 - 2)*(-100*h - 44*h + 18*h + 1).
-252*h + 2
Expand -38*s**4 + 4*s**5 + 38*s**4 + (3*s - 3*s - s)*(4*s**4 - 9*s**4 - 6*s**4).
15*s**5
Expand (-4*o - 3*o - 4*o**2 - 6*o)*(-6*o**2 + 0*o**2 - 2*o**2 - o**2 + 0*o**2 + 3*o**2 + (-2*o + o + 2*o)*(1 - 1 - o)).
28*o**4 + 91*o**3
Expand (-2*d - 5*d + d)*((2 - 2 - 1)*(-1 - 1 + 1) + 19 + 13 - 3).
-180*d
Expand d**4 + d**4 + 9*d**4 - d**4 - 3*d**4 + 0*d**4 + (-3*d - 2*d + 3*d)*(-3*d**3 + 4*d**3 + d**3) - 2*d + 2*d - d**4.
2*d**4
Expand (-b**3 + 17*b**2 + 4 - 17*b**2)*(3 - 2 + 1)*(11 - 63 + 0).
104*b**3 - 416
Expand (-7*p - 9*p + 3*p + 1)*(3*p - 3 + 3).
-39*p**2 + 3*p
Expand (0 + 0 + 6*w - 1)*(2*w + w + 4*w).
42*w**2 - 7*w
Expand (6 - 3 - 2)*(3 - 1 - 4)*((-3*u - u + 2*u)*(-3 + 1 + 4) + 18 - 18 - u)*(7*u**3 + 21*u**2 - 21*u**2).
70*u**4
Expand (-115*u + 41*u - 172*u)*(u + 4 - 4).
-246*u**2
Expand (81*j - 1346 + 1346)*(-21 + 4*j**2 + 21).
324*j**3
Expand -v**5 + v**5 - 2*v**5 + (12*v**3 + v**5 - 8*v**3 + 6*v**5)*(-3 + 4 + 1).
12*v**5 + 8*v**3
Expand (1 + 0 - 2)*(-21*a - 6 - 13*a + 8).
34*a - 2
Expand (-2 + 2 + 1)*(-1 + 3 + 1)*(-4*y - 5 + 5) + (-3 + 5 - 1)*(-y - 4*y + 3*y) - y + 2*y - 3*y - 4 - y + 4 + 4*y - 5*y - 4*y.
-22*y
Expand (-6*h**3 + 32*h**3 + 4*h**3)*(0*h - 14*h**2 + 0*h + 15*h**2).
30*h**5
Expand -8*t - 11*t + 5*t + (5*t + 0*t - 2*t)*(0 + 2 + 1) + 3 - 3 + t.
-4*t
Expand (2*a + 3*a - 3*a)*(103671 - 103671 - 642*a).
-1284*a**2
Expand (16 - 3*d**2 - 16)*(45*d**2 - 45*d**2 - d**3) + (0*d**2 - 5*d**2 + 4*d**2)*(-2*d**3 + d**3 + 2*d**3) + 0*d**2 - d**5 + 0*d**2.
d**5
Expand (y + 0 + 0)*(2*y**3 - y**3 - 2*y**3) + 5*y**3 + 2*y**4 - 5*y**3 + (18*y + 7*y + 8*y)*(5*y**3 + 3*y**3 - 2*y**3).
199*y**4
Expand (-6*d**2 - 2*d**4 + 15*d**2 - 8*d**2)*(0 - 1 - 2).
6*d**4 - 3*d**2
Expand (0 + 0 - 2)*(-b - b + 5*b) + 2 - 2 + 4*b + b - 3*b + 3*b + 3*b + b - 5*b - 4*b + 4*b - 3*b.
-5*b
Expand -h**3 + h**4 - 12*h**4 - h**3 + (-2 + 1 + 0)*(-5*h**4 + h**4 + 2*h**4) + 3*h**4 - h**4 + 0*h**4.
-7*h**4 - 2*h**3
Expand 0*q**4 - q**4 - 3*q**4 + (-3*q**3 + 4*q**3 - 3*q**3)*(5*q - 14 + 14) + 4*q**4 - 2*q**4 - q**4.
-13*q**4
Expand 20*n**2 - 20*n**2 - n**3 + (0 + 0 + 2)*(7*n**3 + 10*n**3 - 4*n**2 - 19*n**3) - 4*n**3 - 3*n**3 + 6*n**3.
-6*n**3 - 8*n**2
Expand (-9*n**3 - 10*n**3 - 5*n**3)*(-n + 1 - 1) + 6*n**4 - 4*n**4 - n**4 + 4*n**4 - n**4 - 5*n**4.
23*n**4
Expand (-5 + 5 + 9)*(-j**5 + 4*j**5 - 5*j**5) + 8*j**4 + 4*j**5 + 0*j**5 - 294 + 296.
-14*j**5 + 8*j**4 + 2
Expand (5*i**2 - i**2 - 2*i**2)*(-5*i**2 + 5*i**2 - 2*i**2) - 1 + 71*i**3 + 3*i**4 - 3965*i + 3965*i.
-i**4 + 71*i**3 - 1
Expand (-3 + 6*k + 3)*(k - 4*k - 6*k)*(-2*k + 2*k + 2*k).
-108*k**3
Expand (2*b**4 - 73*b**3 - 2704*b + 2704*b)*(0*b - 3*b + 0*b).
-6*b**5 + 219*b**4
Expand (-3*z**2 + 0*z**2 + 4*z**2)*(z**2 + 3*z**2 - 2*z**2) + 2*z**4 + z - z - 19*z**4 - 11*z**4 - 82*z**4.
-108*z**4
Expand (3*g**2 - 6*g**2 + g**2)*(2 - 3*g**2 - 2) + 128*g**4 + g**2 - 126*g**4 + 0*g**2.
8*g**4 + g**2
Expand -g**3 - g**3 + 4*g**3 + (-2*g + 0 + 0)*(3 - 4 + 2)*(-14*g**2 + 22*g**2 + 13*g**2) - g**3 - 13*g**3 + 0*g**3.
-54*g**3
Expand (12*h + h - 9*h)*(-2 - 2 + 2) + 0*h - 2*h + 3*h - h - h + 4*h - 4*h + 4*h + 2*h.
-3*h
Expand ((-2*l - l + 4*l)*(3*l - 3*l**2 - 3*l) + 5*l**3 - 4*l**3 + 0*l**3)*(-2 + l + 2).
-2*l**4
Expand (6*o - 4*o + 0*o - o - o + 4*o - 2*o + 0*o - o + (1 - 1 + 2)*(2*o + 2*o - 3*o) + 0*o - 4*o - 3*o - 5 + o + 5)*(-2*o**4 + 0*o**4 + 3*o**4).
-3*o**5
Expand (-1 - 76*f**2 - 208*f + 208*f)*(4*f**3 + 3 - 3).
-304*f**5 - 4*f**3
Expand (3*z**4 + 4*z**4 - 5*z**4)*(-35 + 666 + 2*z + 209).
4*z**5 + 1680*z**4
Expand (323*n**4 + 248*n - 123*n - 125*n)*(-3*n + 0*n + 4*n).
323*n**5
Expand (4*z**4 + 35*z**3 - 35*z**3)*(20 + 4*z - 20 + (2*z + 4 - 4)*(-4 + 1 + 2)).
8*z**5
Expand (2*x**2 + 1 - 1)*(4 - 3 + 1) - 83*x**2 - 267*x**2 - 23*x**2.
-369*x**2
Expand -l**4 - 3*l**4 + l**4 + (4*l + 2*l - 5*l)*(4*l**3 - 2*l**3 - l**3) - 12*l**4 - 8*l**4 + 10*l**4 + 0*l + 2*l**4 + 0*l.
-10*l**4
Expand -10*y - y**4 - 2*y**2 - 4 - 2 + 8*y + (2*y - 6*y + 2*y)*(-4 - y**3 + 4) + 5*y**4 - 4*y**4 - 2*y**4 - y**4 + 0*y**4 - y**4.
-2*y**4 - 2*y**2 - 2*y - 6
Expand 3*p**5 - 2*p**5 - 2*p**5 + (-7*p**2 + 18*p**2 + 7*p**2)*(-3*p**3 + p**3 + 4*p**3 + 5*p**3 - 4*p**3 + 2*p**3 + (-1 + 5 - 1)*(p**3 + 3*p - 3*p)).
143*p**5
Expand 0*v**2 + 3*v**2 - 2*v**2 + (3*v + 2*v - 3*v)*(v + 2*v - v) + v**2 + 1 - 1 + 2*v - v**2 + 87 - 87.
5*v**2 + 2*v
Expand (0*p + p - 2*p)*(p - 4*p + 2*p) + p**2 + 0*p + 0*p + (-3*p + 0*p + 2*p)*(2*p + 0*p - 3*p) + 5*p**2 - p**2 - 8*p**2.
-p**2
Expand (1 - 1 - l)*((-1 + 1 + 3*l)*(-8*l**2 - 9*l**3 + 8*l**2) + 3*l**4 + 4*l**4 - 3*l**4).
23*l**5
Expand (2*p - 14 + 14)*(-4 + 3 + 2)*(22*p**2 + 42*p**2 - 31*p**2).
66*p**3
Expand (-2 - t**3 + 2)*(6*t**2 + 11 - 13 + 0).
-6*t**5 + 2*t**3
Expand (-2*h**2 + 6*h**2 - 3*h**2 + (3*h**2 + 5*h**2 - 2*h**2)*(-3 + 2 + 3)*(1 + 0 - 2))*(-h**3 + 3*h**3 + 5*h**3).
-77*h**5
Expand 1 + 2 - 5262*a + 5304*a - 2 + 2 - 2*a + a - 2*a + 0*a + (-a - 2 + 2)*(4 - 3 + 1) - 2*a - 1 + 1.
35*a + 3
Expand (4*l**3 - 10 + 10)*((l - 2*l - l)*(-6 - 3 + 2) - 4*l + 2*l + 4*l).
64*l**4
Expand (5*q**2 + 0*q**2 - 13*q**2)*(-6 + 1 + 1 + (0 - 4 + 6)*(4 - 3 - 3)).
64*q**2
Expand (-4 + 3 + 2)*(-2*f**3 + 2*f**3 + 3*f**5) + 164*f**5 - 5*f**5 + 53*f**5.
215*f**5
Expand (l - l - l**4)*(-4*l - 2*l + 3*l + (-16*l + 46 - 46)*(5 - 4 + 0)).
19*l**5
Expand -2*v**4 + 12*v**3 - v**3 - 9*v**3 + (-1 + 1 + 1)*(-v**4 - v**4 + 6*v**4) + 0*v + 0*v + 2*v**4.
4*v**4 + 2*v**3
Expand (0 + 2*f + 0)*(-1 - 3 + 5) + (-24 - 31 + 12)*(-4*f + f + 6*f).
-127*f
Expand (5*f - 13*f - 13*f)*(f + 2 - 2)*(-3*f**2 + f**3 + 3*f**2 + 0*f**3 - f**3 + 3*f**3 + (2*f - 4*f + f)*(f**2 + 0 + 0)).
-42*f**5
Expand (3 - 3 - l)*(-l**2 + 0*l + 0*l) - 1 - 206*l**2 + 97*l**2 + 105*l**2 + 3*l + 2*l**3.
3*l**3 - 4*l**2 + 3*l - 1
Expand (-17 - 29 + 11 + (3 + 2 - 2)*(-1 + 0 + 0))*(-2 - 3*v + 2)*(-2*v + 2*v - 3*v)*(-2*v + 3*v + v).
-684*v**3
Expand (5*r**2 - 2*r**2 - r**2)*(-2*r - r + 5*r)*(4 - 2 - 4) + (-6*r**2 + 24 - 24)*(2 - 2 + 3*r).
-26*r**3
Expand (7*w**3 - 106 + 106)*(2*w - 2*w + w)*(-2 + 2 - 2*w)*(0 + 1 + 0) + 20*w**5 - 7*w**5 + 12*w**5.
11*w**5
Expand (-3*r**2 - 2*r**2 + 3*r**2)*(-1 - 1 + 3) - 56*r**2 + 18*r**2 + 9*r**2.
-31*r**2
Expand (3*f**2 + 0*f**2 - 2*f**2)*(1 - 108*f + 104*f + 74*f).
70*f**3 + f**2
Expand (u - 9*u + 3*u)*(-3*u - 9*u - 33*u - 25*u).
350*u**2
Expand 3*p**3 + 4*p**3 + p**3 + (38*p - 125 + 125)*(-p**2 + 0*p**2 - 2*p**2).
-106*p**3
Expand (d + 0 + 0 + (-4*d + 0*d + 2*d)*(3 - 3 - 2) + d - d - 2*d + d + 4 - 4 + 5*d - 2*d - d - 4*d + 5*d + d + 0*d - d - d)*(-923 - 38*d + 923).
-228*d**2
Expand -2*q**5 + 4*q**5 + 0*q**5 + (26*q**4 + 11*q**4 - 9*q**4)*(3*q + 2*q - q).
114*q**5
Expand (-2*j - 2*j + 2*j)*(2*j - 2*j + 8*j) - 30*j**2 + 59*j**2 - 25*j**2.
-12*j**2
Expand (-w - 2*w + 2*w)*((-26 - 3 + 16)*(-3 - 2 + 4) - 2 + 0 - 1).
-10*w
Expand ((0*i + 3*i - i)*(6 + 2*i - 6) - 3*i**2 + 2*i**2 + 0*i**2)*(i**2 + 9*i - 7*i - i).
3*i**4 + 3*i**3
Expand (-4 + 4 + 2*q)*(-3 + 1 + 1)*(8*q**2 + 8*q**2 + 4*q**2).
-40*q**3
Expand (-4*o**3 - 5*o**3 + 2*o**3)*(14*o - 2*o - 3*o) - 3*o**4 + 0*o**4 + o**4 + (3 - 1 - 1)*(o**4 + 3*o**4 - 5*o**4) - 3*o**4 - 2*o**4 + 4*o**4.
-67*o**4
Expand (40 - 1 + 24)*(0 - 6 + 2)*(-2*t - t + t).
504*t
Expand (o - 4*o + 4*o)*(0 - 1 + 0)*(-1 + 1 + 2)*(-5 + 18*o + 5).
-36*o**2
Expand (8*o**2 - 7*o**2 + 3*o**2 - o)*(3*o**3 - 2*o**3 - 5*o**3).
-16*o**5 + 4*o**4
Expand 2 + 11 + 49423*r - 2*r**2 - 49410*r + (2*r - 5*r + r)*(3*r + 4*r - 6*r).
-4*r**2 + 13*r + 13
Expand (69*x + 0 + 2 - 458*x)*(-4*x + 2 | {
"pile_set_name": "DM Mathematics"
} |
n = -r for r.
2
Suppose -6 = j + 1. Let s = 7 + j. Solve -o + 1 = -s*o for o.
1
Let m(i) = -i + 4*i + 10 - 4*i. Let o be m(10). Suppose 6*d - 4*d = 6. Solve o = -0*u - 3*u - d for u.
-1
Let v = 6 - 4. Suppose 0 = -v*j + 14 + 6. Suppose i + p - 2 = -0*p, -3*i = -4*p - 27. Solve 0*u - j = i*u for u.
-2
Let c = 7 + 5. Suppose 5*o = o + c. Suppose 2*t + 5*h - 12 = 0, 4*t + 4*h = o + 9. Solve -p - 3 = t for p.
-4
Suppose 3*d - 8*k + 14 = -4*k, -3*d + 2*k - 4 = 0. Suppose -d*p - 3*j - 39 = 0, 3*p - 4*j = -27 - 6. Let t be p/10 + 9/2. Solve w - t*w = -8 for w.
4
Let k(l) = l**2 + 3*l + 3. Let t be k(-3). Let g be t/(-2) + 2/4. Let b be (20/(-12))/(g/12). Solve -4*x = x + b for x.
-4
Let l(p) = -p**2 + 4*p + 5. Let v be (-1)/((-3 - 3)/18). Let m be l(v). Solve -m*z - 5 = -9*z for z.
5
Suppose 5*f + 3 = -3*z - 6, -z = 2*f + 3. Let u = 4 - f. Suppose 4*l - 15 = -o, -u*o + 3*l = -o. Solve -o*i = -0*i for i.
0
Let x(f) = -13*f - 104. Let c be x(-9). Solve -2*u = -c*u + 55 for u.
5
Let a = -23 - -15. Suppose 6*z = -2*b + 2*z, -5*z = 5*b - 5. Let n be 0 - b - 1 - a. Solve -y + 4 = n for y.
-1
Let s be (16/4 - 54)/2. Let h(v) = v**3 + 26*v**2 + 26*v + 27. Let d be h(s). Let p(i) = -3*i - 6. Let u be p(-4). Solve -4*l + d + u = 0 for l.
2
Suppose 4*p - 5*k - 13 - 18 = 0, 4*k - 4 = -4*p. Let x be (-34)/(2/p*-4). Let f be (-9)/(-2) + (-6)/(-12). Solve -2 = -f*a - x for a.
-3
Let w be (-42)/(-4) + (-6)/(-4) + -2. Suppose 18 = 2*s + w. Solve -u + 25 = s*u for u.
5
Suppose -3 - 1 = -y. Suppose 0*w + 8 = -4*z - y*w, -2*z = -5*w - 10. Suppose z = -13*d + 18*d - 50. Solve 2 = 3*p - d for p.
4
Let p be (-1)/((-4)/(-16)*-2). Let m(w) = w**2 - w + 2. Let f be m(p). Solve -t - 9 = -f for t.
-5
Suppose -4*m - 12 = 0, -4*i + 22 = -4*m - 26. Suppose -14 = -i*c + 4. Solve -q - c*q = 12 for q.
-4
Let z = 5 - 8. Let q = 8 + z. Solve -3*p + 14 = q for p.
3
Let a be 18/90 - (1 - (-49)/(-5)). Solve 5*t - 56 = -a*t for t.
4
Let y(h) = -h**2 - 14*h + 1. Let d be y(-14). Let m = d + 19. Suppose m = i + 4*i. Solve -2*x = -6 - i for x.
5
Suppose 5*v - 2*n = 103, -36*n = -34*n - 2. Solve 3*b - 10*b + v = 0 for b.
3
Suppose -6*u - 18 = -5*u + 5*f, -4*u + 24 = -4*f. Solve -3*v + u + 10 = 0 for v.
4
Let o be (-14)/((-5*10/25)/2). Solve -3*v - o + 5 = 0 for v.
-3
Let n = -37 - -39. Suppose 26 = n*w + 11*w. Solve 0 = 4*c - w - 2 for c.
1
Let t be (12 - 4)*6/16. Solve -8 = t*r + r for r.
-2
Let k(h) = 2*h - 27. Let l = 7 - -7. Let p be k(l). Solve -c = -1 - p for c.
2
Let k = -16 - -21. Let a be 2/k + (-8)/(-5). Solve 0*r = r - a for r.
2
Let q(m) = -m**2 + 5*m + 29. Let l be q(7). Solve l*s - 3 = 14*s for s.
3
Suppose -23 = -2*y + 5*x, 2*y + 2*x = 22 + 8. Solve -12*u = -y - 10 for u.
2
Let r be ((-4)/(-6))/((-1)/(-3)). Suppose 4*q = 3*q + 7. Let s(t) = -2*t**2 + 13*t + 7. Let n be s(q). Solve -r = -n*i + i for i.
-2
Let s(t) = t**2 - 8*t + 4. Let u be s(7). Let h be (u - 64/6)*-3. Suppose h + 23 = 4*v. Solve -4*p + v = -0 for p.
4
Let u = 35 - 41. Let o be -1*(-8)/(-6)*u. Solve n + o = -n for n.
-4
Suppose 0 = -5*q - 2*d + 393 + 55, 5*q - 3*d = 428. Let p be 69/4 + 66/q. Solve -4*r + 2 = p for r.
-4
Let k be ((-115)/46)/(2/(-4)). Suppose 4*b + 0*h = h + 66, 3*b = 2*h + 52. Suppose -n - b = -k*n. Solve u = n*u + 6 for u.
-2
Suppose 5*y - 5*p = 4 - 29, 2*y - 3*p = -10. Let z = y + 20. Let k = 1 + -1. Solve -z = 3*q - k for q.
-5
Let b be (18/(-12))/(6/(-32)). Suppose 0 = n + w + w - b, 0 = 2*n - w + 4. Solve n = -2*y + y + 4 for y.
4
Let m(t) = -t**3 - 5*t**2 + 3*t + 2. Let l be m(-4). Let h = l - -30. Solve -h*j + 3 = -j for j.
1
Let a = 133 + -129. Solve -a*m - 26 + 22 = 0 for m.
-1
Let h = -40 + 29. Let s be h/(-3) - (-4)/(-6). Solve 0 = -i - s*i for i.
0
Let i(d) = -d**2 + 13*d - 15. Let b be i(10). Let s(t) = -t**3 + 5*t**2 - 4*t + 3. Let y be s(4). Suppose 4 = y*o - 11. Solve -b = o*r - 2*r for r.
-5
Let o be (-27)/(-45) + 4/10 - -2. Suppose a - 1 = 1. Solve 0 = 3*k - a*k + o for k.
-3
Suppose 4*j + 3*j = -3*j. Solve 6*h - 8*h + 2 = j for h.
1
Let g = 319 + -301. Solve 0 = -7*m + 10 + g for m.
4
Let b be (12/(-10))/((-13)/65). Solve 5*u = 8*u - b for u.
2
Let i(t) = -4*t + 29. Let o be i(6). Suppose -15 = -5*a + o. Solve -p = p - a for p.
2
Suppose 25 = 2*j + c, -4 = 2*c - 6. Solve 0 = -d + 5*d - j for d.
3
Let j = 16 + -21. Let m = 7 + j. Solve 5*s - m*s - 3 = 0 for s.
1
Let t be 1/(-4) - (-123)/12. Let x = 113 + -91. Let s be (-689)/(-143) + 4/x. Solve s*n - t = -0 for n.
2
Let k = 1615 + -1150. Suppose 2*h - k = -3*h. Suppose -5*d - 69 = -4*r, -4*r - 3*d + h - 32 = 0. Solve -r = 2*g + 2*g for g.
-4
Suppose -7*u = 8*u + 2*u. Solve -4*x + 2*x = u for x.
0
Let i = 650 + -645. Solve 10*j = 9*j + i for j.
5
Let p be ((-51)/(-15) - -1) + 6/(-15). Suppose -34*z = -33*z. Solve 0*f - 4*f - p = z for f.
-1
Let d be 1/(55/(-20) + 3). Solve -4*a + 6*a = d for a.
2
Let l(x) = x**3 - 2*x**2 + 3*x - 6. Let r be l(5). Suppose 0 = 10*s - 13*s + r. Let f be 0/((s - 3)/5). Solve -p + f + 1 = 0 for p.
1
Suppose -3*v = 3*v - 42. Solve 0 = -2*o + 3 + v for o.
5
Let r = 324 - 311. Solve -12*a + r*a - 4 = 0 for a.
4
Let k = -396 + 403. Solve 0 = 5*m - 8 - k for m.
3
Suppose 47*p = 36*p + 99. Solve 3*z + 3 = -p for z.
-4
Let l = 283 - 243. Solve 0 = -0*c + 10*c + l for c.
-4
Let m = 11 + 7. Solve 15*u - m = 21*u for u.
-3
Let r = 1820 - 1798. Solve 8*l + r = -2 for l.
-3
Let u(g) = 3*g**2 + 8*g + 2. Let n be u(-3). Suppose -145 + n = -5*m. Suppose m = s + 20. Solve 0 = 2*r - 6*r + s for r.
2
Let g(d) = -d**2 + 18*d - 21. Let b be g(16). Solve s + 7 = b for s.
4
Let q be 0 + (-2 - -8 - 1). Suppose -q*t - 18 = -5*x + 7, 2*x + t - 1 = 0. Solve 0 = -x*y - 0 + 4 for y.
2
Let n(a) = 8*a**2 + 170*a + 45. Let o be n(-21). Solve o*r = -58 + 52 for r.
-2
Let k(b) = 5*b**3 - 19*b**2 - 2*b - 7. Let c be k(4). Solve -c = -t + 2 for t.
3
Suppose -8*i = 86 - 102. Solve 0 = -2*p - i*p for p.
0
Suppose 14 = 4*s + 3*p, -5*p = 5*s - 17 - 3. Let k(j) = -2*j**3 - 36*j**2 + 39*j + 22. Let q be k(-19). Solve -v - s = q for v.
-5
Let y be -1*(-7 + -3 + 7). Solve w - 20 = -y*w for w.
5
Suppose 0*s - 4 = -4*s, -5*s - 5 = -x. Solve -29*z + x*z = 76 for z.
-4
Suppose 14 = x + 5*a, a - 5*a - 4 = -3*x. Solve -x = -7*b + 11*b for b.
-1
Let w(q) = q**3 - 28*q**2 - 62*q + 63. Let x be w(30). Solve -i - 2 - x = 0 for i.
-5
Let v = -431 - -440. Solve -v = 6*r + 21 for r.
-5
Let b = -37 - -52. Suppose -2*u = u - b. Suppose -55 = -3*o - u*l - 19, -24 = -2*o + 4*l. Solve 4*t - t = -o for t.
-4
Suppose 2*m - 12 = -2, -5*m = 5*c - 30. Let v(r) = r + 24. Let t be v(-14). Let y be (-5)/t*c*-6. Solve 2*q + y = -q for q.
-1
Let z(j) = 38*j + 648. Let b be z(-17). Let r = 4 - 4. Solve 0 = b*l - r - 10 for l.
5
Let o = -712 + 721. Solve 0 = -4*w + o*w - 15 for w.
3
Suppose -11*n = -1200 + 188. Suppose n = -4*r + 8*r + 4*d, -5*d = 2*r - 40. Let v be 0*2/((-4)/(-2)). Solve -3*t - 2*t + r = v for t.
5
Let t be 2/((24/(-10))/(-6)). Suppose 2*c + 0 - 6 = -2*a, 0 = t*a - 3*c + 1. Solve 2*q - a = -3 for q.
-1
Let z be ((-117)/6)/(9/12). Let n be (12 - 0)*(-13)/z. Solve -n*v = -v + 25 for v.
-5
Let r(x) = -x**3 + 11*x**2 - 10*x. Let q be r(10). Let v = -7 - q. Let c(d) = -d - 7. Let g be c(v). Solve 0*k - 4*k = g for k.
0
Let n = 14 + -12. Let k(d) = -d**2 + 4*d + 12. Suppose 3*s = -6, 5*t = -3*s + 31 - 7. Let b be k(t). Solve -w - 3 + n = b for w.
-1
Let w = -36 - -66. Let j = w - 27. Solve -j = u - 8 for u.
5
Suppose 9*g - 18 = 3*g. Suppose -r + g*d + 12 = 0, 5*r + d - 4 = 2*d. Solve r = -q + 4 - 0 for q.
4
Let k = -5 - -5. Let j = -55 - 1. Let t = -55 - j. Solve k = o + t - 2 for o.
1
Let t(s) = -25*s + 29. Let g be t(1). Solve g*l - 5*l = l for l.
0
Suppose -5*l + 17 - 2 = 0. Let o be ((-4)/22 - (-8)/44)/2. Suppose -h = -l - o. Solve 0 = 2*f + h + 3 for f.
-3
Let i be 19/5 - (3 - 77/35). Solve -i*j = 24 - 9 for j.
-5
Let n = -35 + 36. Let d(m) = m**3 - 3*m**2 + 3*m. Let k be d(2). Solve -k*z = -1 - n for z.
1
Let f = -5 + -8. Let q(u) = -u**2 + 10*u - 8. Let y be q(7). Let j = y + f. Solve j*h - 6 = 2*h for h.
-3
Let a = 11 - 13. Let u be a/7 - 108/14. Let y be ((-1)/2)/(4/u). Solve 0 = -d + y for d.
1
Let b(u) = 5*u**2. Let v be b(-2). Let y = 422 - 399. Let a = y - v. Solve -k = a - 2 for k.
-1
Let n(u) = -13 + 8*u**2 + 4 + u**3 + 2*u + 0*u - 14*u. | {
"pile_set_name": "DM Mathematics"
} |
06, -602, -1304, -2396?
-3962
What is the next term in 198738, 198746, 198754?
198762
What is next in 1453, 1615, 1777, 1939?
2101
What is the next term in -1029, -1042, -1061, -1086, -1117, -1154, -1197?
-1246
What is the next term in 22258, 44530, 66800, 89068, 111334, 133598?
155860
What comes next: 317, 647, 1003, 1397, 1841?
2347
What is next in 264, 540, 960, 1596, 2520, 3804, 5520?
7740
What is next in -5055, -10111, -15167, -20223, -25279?
-30335
What comes next: -133478, -266948, -400418?
-533888
What is the next term in -566325, -566321, -566315, -566307, -566297, -566285?
-566271
What is next in -11761, -11764, -11769, -11776?
-11785
What comes next: -14982, -14998, -15014, -15030, -15046?
-15062
What is the next term in 9912, 39663, 89242, 158643, 247860, 356887, 485718, 634347?
802768
What comes next: 59, 147, 327, 623, 1059, 1659?
2447
What comes next: -11629, -11617, -11605, -11593, -11581?
-11569
What is next in 161, 210, 337, 548, 849?
1246
What is the next term in 71, 365, 1175, 2759, 5375, 9281?
14735
What comes next: -187, -837, -1945, -3511?
-5535
What is the next term in -40213, -40210, -40207, -40204, -40201?
-40198
What is the next term in 4540, 7364, 10188?
13012
What is next in 1718, 1719, 1720?
1721
What comes next: 24531, 49066, 73599, 98130, 122659?
147186
What is next in 208696, 208695, 208694, 208693, 208692?
208691
What comes next: 6254, 8493, 10718, 12923, 15102, 17249, 19358, 21423?
23438
What is next in 4, 92, 350, 868, 1736, 3044?
4882
What is next in -364, -820, -1262, -1684, -2080, -2444, -2770?
-3052
What is next in -3246, -3245, -3244, -3237, -3218, -3181, -3120?
-3029
What is the next term in 30403, 30462, 30559, 30694, 30867?
31078
What comes next: -19490, -77959, -175406, -311831?
-487234
What comes next: -21354, -21592, -21832, -22074, -22318?
-22564
What is the next term in 3783, 7429, 11075, 14721, 18367, 22013?
25659
What is the next term in -30498, -60989, -91476, -121959, -152438, -182913?
-213384
What is next in 407062, 407055, 407048, 407041?
407034
What is the next term in 2, 437, 1604, 3863, 7574, 13097?
20792
What is next in 28, 111, 256, 469, 756, 1123?
1576
What is next in -34384, -34381, -34376, -34369?
-34360
What is the next term in 33217, 132824, 298829, 531226, 830009, 1195172, 1626709, 2124614?
2688881
What is next in -320540, -320541, -320542?
-320543
What is the next term in -5870, -11690, -17510, -23330, -29150?
-34970
What is next in -277776, -277773, -277770, -277767?
-277764
What is the next term in -1449, -11878, -40203, -95370, -186325?
-322014
What comes next: 1409, 2686, 3963, 5240, 6517?
7794
What is the next term in -697, -635, -573, -511?
-449
What is next in -220, -253, -316, -415, -556, -745, -988?
-1291
What is the next term in -1145, -2280, -3429, -4598, -5793?
-7020
What comes next: -61, 90, 275, 512, 819, 1214?
1715
What comes next: -213971, -213972, -213973, -213974, -213975?
-213976
What is the next term in 1187, 2301, 3403, 4487, 5547?
6577
What is the next term in -1513, -12140, -40983, -97150, -189749, -327888, -520675?
-777218
What is the next term in 17648, 70595, 158840, 282383, 441224, 635363, 864800?
1129535
What is the next term in -408, -351, -270, -159, -12, 177, 414, 705?
1056
What is next in 735, -830, -2395, -3960, -5525?
-7090
What is next in -223, -818, -1809, -3196, -4979, -7158?
-9733
What is next in -18, -43, -90, -171, -298, -483, -738, -1075?
-1506
What is next in 323449, 323452, 323457, 323464, 323473, 323484, 323497?
323512
What is next in 10750, 10702, 10654?
10606
What is the next term in 56, 531, 1844, 4415, 8664?
15011
What is the next term in 3589, 7180, 10771, 14362, 17953?
21544
What comes next: 5408, 5366, 5252, 5030, 4664?
4118
What comes next: -444, -1317, -2190, -3063, -3936?
-4809
What is the next term in -159, -67, 97, 339, 665, 1081, 1593, 2207?
2929
What comes next: -374, -852, -1454, -2186, -3054, -4064?
-5222
What is the next term in 341, 1293, 2851, 4991, 7689, 10921, 14663, 18891?
23581
What is next in -707, -1445, -2183, -2921, -3659?
-4397
What is next in 38415, 38416, 38417, 38418, 38419, 38420?
38421
What is the next term in 81, 308, 687, 1218?
1901
What is next in 625, 595, 529, 415, 241?
-5
What is the next term in 4097, 4101, 4099, 4085, 4053, 3997?
3911
What is next in -240, 437, 1572, 3171, 5240, 7785, 10812?
14327
What is next in -1677, -1903, -2129, -2355?
-2581
What is next in 689, 944, 1211, 1496, 1805?
2144
What is next in -2283, -4537, -6791?
-9045
What comes next: -9015, -36025, -81031, -144027, -225007, -323965?
-440895
What is next in -8644, -34570, -77778, -138268?
-216040
What comes next: -58, -226, -464, -736, -1006, -1238?
-1396
What comes next: -99, -46, 187, 606, 1217, 2026, 3039?
4262
What is the next term in -31561, -63123, -94685, -126247, -157809?
-189371
What comes next: -938198, -938199, -938200, -938201, -938202, -938203?
-938204
What is next in -34307, -34328, -34349, -34370, -34391?
-34412
What is the next term in -215172, -215177, -215186, -215199, -215216, -215237, -215262?
-215291
What comes next: 781, 3070, 6861, 12136, 18877, 27066?
36685
What is the next term in 322448, 644896, 967344, 1289792, 1612240?
1934688
What is the next term in -132077, -264155, -396233?
-528311
What is next in -43, -96, -155, -220, -291?
-368
What comes next: -5037, -5050, -5063?
-5076
What comes next: -76367, -152733, -229099?
-305465
What is next in -43286, -43199, -42966, -42515, -41774, -40671?
-39134
What is next in 51083, 51091, 51099, 51107, 51115, 51123?
51131
What is next in -23935, -23936, -23937, -23938, -23939, -23940?
-23941
What is the next term in -56803, -56804, -56805?
-56806
What is next in 5980, 11987, 17994, 24001, 30008?
36015
What comes next: 4040, 4040, 4032, 4010, 3968?
3900
What comes next: 2787, 22341, 75413, 178761, 349143?
603317
What is next in 3014, 3217, 3768, 4841, 6610, 9249, 12932?
17833
What comes next: -2336, -2353, -2368, -2381?
-2392
What is the next term in -26191, -52380, -78569?
-104758
What is next in 1912, 1824, 1736, 1648?
1560
What is the next term in 770, 882, 990, 1094, 1194, 1290?
1382
What comes next: -497, -627, -757, -887, -1017, -1147?
-1277
What is next in 81443, 81368, 81163, 80762, 80099, 79108, 77723, 75878?
73507
What comes next: -549, -271, 9, 291, 575?
861
What is next in 1808, 3609, 5412, 7217?
9024
What comes next: 132, -211, -568, -945, -1348, -1783?
-2256
What is next in -834, -1644, -2454?
-3264
What is next in -111728, -223467, -335208, -446951, -558696, -670443?
-782192
What is next in 857, 524, 191?
-142
What comes next: 17495, 35011, 52527, 70043?
87559
What is next in -5337, -21337, -48001, -85329, -133321, -191977, -261297?
-341281
What is the next term in -1226, -4899, -11012, -19565, -30558?
-43991
What is next in 60, 664, 2310, 5520, 10816, 18720?
29754
What is next in -21588, -21589, -21590, -21591?
-21592
What is next in -549, -4972, -16979, -40362, -78913, -136424?
-216687
What is next in -806, -852, -902, -956, -1014, -1076?
-1142
What comes next: 52, 19, -12, -41?
-68
What is next in -51604, -51602, -51612, -51640, -51692, -51774?
-51892
What is the next term in -331, -593, -715, -625, -251?
479
What is next in -309, -299, -271, -213, -113, 41, 261, 559?
947
What is next in -870, -1359, -1858, -2373, -2910, -3475, -4074?
-4713
What is next in 78, 371, 916, 1749, 2906, 4423, 6336?
8681
What comes next: -424474, -424475, -424476, -424477, -424478, -424479?
-424480
What is next in 9233, 9226, 9213, 9194, 9169?
9138
What is next in 5785, 11685, 17835, 24361, 31389, 39045?
47455
What is the next term in -1094, -2179, -3264, -4349, -5434?
-6519
What is next in 1155, 2086, 3641, 5820, 8623, 12050?
16101
What is next in -1061821, -1061820, -1061819, -1061818, -1061817?
-1061816
What is next in -81452, -81439, -81426, -81413, -81400?
-81387
What is next in 2662, 5290, 7918?
10546
What is next in 130, 288, 758, 1696, 3258, 5600, 8878?
13248
What is the next term in -272, -417, -594, -827, -1140, -1557?
-2102
What is the next term in 1717, 1845, 1971, 2095, 2217?
2337
What is next in -5628, -5596, -5542, -5466?
-5368
What comes next: -9851, -19689, -29525, -39359?
-49191
What is the next term in 2805, 4488, 6171, 7854, 9537?
11220
What | {
"pile_set_name": "DM Mathematics"
} |
= 3*a - j. Let u = 2444810 + a. What is u rounded to the nearest one million?
-1000000
Let q = 0.1 + 5.9. Let f = q - 6.00001. What is f rounded to 5 decimal places?
-0.00001
Let x = 12.90322 + -12.9. Round x to four decimal places.
0.0032
Let j = 1780.67 + -1756. Let i = j + -25. Let a = 0.08 + i. What is a rounded to 1 decimal place?
-0.3
Let j = 3.3 - 3.254. Let c = -0.05 + j. Round c to 2 decimal places.
0
Suppose -43 = 3*f + 164. Round f to the nearest ten.
-70
Let p = -123 + 131.9. Let k = -0.9 + p. Let z = -8.00000026 + k. What is z rounded to 7 decimal places?
-0.0000003
Let z = -40.00064 - -40. Round z to 4 dps.
-0.0006
Suppose 0 = 3*d - g - 9, -3*d - 4*g + 12 = d. Suppose 0 = -d*v - 0*v + 117. What is v rounded to the nearest ten?
40
Let d(y) = -44*y - 10. Let g be d(10). What is g rounded to the nearest one hundred?
-500
Let s = 2448 - 2444.014. Let p = s - 4. Round p to two decimal places.
-0.01
Let g(w) = -4*w**3 + 2*w**2 + w. Let y be g(-1). Let i be (0 + -138)/(9/12). Let n be i*y/(1 + 0). What is n rounded to the nearest one hundred?
-900
Suppose -d + 4*d + 53177 = -4*z, -4*d + 2*z - 70888 = 0. Let l = 37838 + d. Suppose 17885 = 4*j - l. Round j to the nearest one thousand.
10000
Let a = -12 + 21. Let q = 8.995 - a. What is q rounded to two dps?
-0.01
Let m = 16.459 + -16.6. Let k = 0.449 - m. Round k to one dp.
0.6
Let g = -20624.952 - -20629.0009273. Let s = g + 0.2511067. Let q = s - 4.3. Round q to five decimal places.
0.00003
Let n be (-40)/12*2505036/(-10). Suppose 2*h - n = 864988. Round h to the nearest 100000.
900000
Let q = -5 - -5.42. Let j = 0.03 - -0.27. Let r = q + j. What is r rounded to one decimal place?
0.7
Suppose i - 9 - 1 = -5*j, -2*j + 4 = 4*i. Suppose -v + 6476 = -4*o, 4*o + 6472 = -0*o + j*v. Round o to the nearest 100.
-1600
Let g = -0.046 - -0.0460011. Round g to 6 dps.
0.000001
Suppose 3*h = 4*q + 4, -2*h + 7*q = 2*q + 2. Suppose 2*o + 112 = 2*g, -g = 3*g + h*o - 256. Round g to the nearest one hundred.
100
Let k = 0.97 + -1. Let t = 1.268 + -0.038. Let m = t + k. What is m rounded to 0 dps?
1
Let r = -0.03 - -0.83. Let c = r + 1.4. Let y = 2.2000011 - c. What is y rounded to 6 decimal places?
0.000001
Suppose -20469 = -5*f - 5*c - 444, -5*f + 4*c = -19980. Round f to the nearest one thousand.
4000
Let u = 22.714 - 0.414. Round u to the nearest integer.
22
Let w be ((-110018)/(-6) + -3)*60. Round w to the nearest one million.
1000000
Let q be (2/(-6))/(1/(-12)). Suppose -4*f - 159992 = -2*f - q*d, 3*f + 2*d = -240004. Round f to the nearest ten thousand.
-80000
Suppose 0*l = 3*l + 13974. Let y = 118132 - 177474. Let t = l + y. Round t to the nearest ten thousand.
-60000
Let t = 12182.6999 + -12177.7. Let y = -10 - -15. Let u = t - y. Round u to three dps.
0
Suppose 0 = 3*l + 9, -2*x = -4*l - 6 - 10. Suppose m = -x*m + 9, 300012 = 5*o + 4*m. Round o to the nearest one hundred thousand.
100000
Suppose 3*h = -2*h + 2*t + 670010, h + 2*t - 133990 = 0. Round h to the nearest 10000.
130000
Let u = -2.5 + 5. Let w = 6.0086146 + -8.5086119. Let t = u + w. Round t to 6 decimal places.
0.000003
Let i(c) = 7599999*c**2 - c. Let t(h) = h - 6. Let m be t(5). Let d be i(m). Round d to the nearest 1000000.
8000000
Let n = 0.13 + 0.04. Let w = 0.17000055 - n. What is w rounded to seven decimal places?
0.0000006
Let s = -243 + 223.6. Let q = 0.6 - s. Let t = q - 20.0036. What is t rounded to 3 dps?
-0.004
Let y = -66 - -66.62. What is y rounded to 1 decimal place?
0.6
Let h = -1 - 1. Let n = -8.975 + 10.975096. Let b = h + n. What is b rounded to five decimal places?
0.0001
Let p = -225.137 + -5.563. Let x = 221 + p. What is x rounded to 0 decimal places?
-10
Let v = -68 - -66.66. Let g = 0.06 - v. Let d = 1.39999962 - g. Round d to seven dps.
-0.0000004
Let k(j) = -j - 5. Let f be k(-9). Suppose -f*n = -5*b - 7, -4*b = -3*n + 5 + 1. Let i be 2/3 - (-422)/b. What is i rounded to the nearest 100?
-100
Let t = -27 - -31.8. Round t to the nearest integer.
5
Let b = 0.2720700719 - -12.7279304381. Let y = b - 13. What is y rounded to seven dps?
0.0000005
Suppose -3*p = -8*p + 3750. Round p to the nearest 100.
800
Let m(k) = 877*k - 15. Let w be m(-5). What is w rounded to the nearest one hundred?
-4400
Let q = -0.104 - -0.141. Round q to 2 decimal places.
0.04
Let k(h) = 3*h**3 - h**2 - 2*h + 7. Let t be k(6). Let a = 1267 - t. Round a to the nearest one hundred.
700
Let o = -0.174 + -0.46. What is o rounded to one decimal place?
-0.6
Let v be 2500/(-3)*(-6486 - -6). What is v rounded to the nearest 1000000?
5000000
Let s = -87.38723 + 87.957. Let q = s + -0.57. What is q rounded to 4 dps?
-0.0002
Let d = 104220626.9999935 - 104220599. Let m = d + -28. What is m rounded to six decimal places?
-0.000007
Let d = 0.81 - 0.8. Let h = d - 0.010052. Round h to five decimal places.
-0.00005
Let s = -4 - -6. Suppose s*x - 5*n = 24220 + 10965, -2*x + 35194 = -2*n. Suppose -2*o + 6*o = -x. Round o to the nearest 1000.
-4000
Let g = -790521.19951 + 790517. Let p = 14.8 - 19. Let j = g - p. Round j to 4 decimal places.
0.0005
Let d(w) = -191659*w**2 - 3*w + 1. Let i(l) = -56748*l**2 - 2*l - 134912*l**2 - l. Let t(x) = 6*d(x) - 7*i(x). Let c be t(6). Round c to the nearest 1000000.
7000000
Let o = -3 - -61. Let y = o - 57.9999885. What is y rounded to six dps?
0.000012
Suppose -c = -9 + 4. Suppose -8*d + 5*l + 20 = -3*d, -c*d + 2*l = -32. Let n be 3200002/5 - d/20. What is n rounded to the nearest 100000?
600000
Let r = 8 + -6. Let p = r - 5. Let g = p - -3.04. Round g to 2 dps.
0.04
Let p = 0.0424 + -0.014. Round p to three dps.
0.028
Let a be (-468)/(-8) + 2/4. Round a to the nearest ten.
60
Let q(n) = -n**2 + 2*n + 4. Let p be q(4). Let i = p - 1. Let r be (-7644)/15 + 2/i. Round r to the nearest one hundred.
-500
Let r = -68 - -21. Let m = 65.5 + r. Let b = 27 - m. What is b rounded to 0 dps?
9
Let c = 0.0458729614 + 41.9541336386. Let g = 24 - 66. Let x = g + c. What is x rounded to six decimal places?
0.000007
Let o = 18.52 + 0.48. Let k = o + -18.982. What is k rounded to 2 decimal places?
0.02
Let o = 0.0644 + -1.9194. Let y = o + 1.9. What is y rounded to 2 decimal places?
0.05
Let r = -6.78 + 5.6. Round r to one dp.
-1.2
Let p = -22 + 19.52. Round p to one decimal place.
-2.5
Let i(t) = 999*t - 3. Let s be i(2). Let x = 74 - 80. Let z be x/9*s/(-1). Round z to the nearest 100.
1300
Let s = -3 + 2.97. Let m = -0.13628 - -0.1072. Let d = s - m. Round d to four dps.
-0.0009
Let o = -6 + 20. Let n = 15.8 - o. Let p = n - 1.8076. Round p to three decimal places.
-0.008
Let u = 22.0000003 - 22. What is u rounded to seven decimal places?
0.0000003
Suppose -k = l - 8 - 0, 2*l = -4*k + 28. Suppose 2*w = -k, 2*w = 3*y - 0*y - 27. What is y rounded to the nearest ten?
10
Let x(u) be the third derivative of 101/24*u**4 + 0*u + 0 - u**2 - 1/2*u**3. Let v be x(3). Round v to the nearest 1000.
0
Let h(n) = -4028753*n**2 - 4*n - 2. Let z be h(4). Let w be 2/9 + z/(-18). Suppose -3418885 - w = l. Round l to the nearest one million.
-7000000
Suppose 3600 = 5*a - 4*a. Let p be (32000/3)/((-6)/a). Round p to the nearest 1000000.
-6000000
Let y = 9 + -5. Suppose 3*a - y = a. Suppose -6*h + a*h - 272 = 0. Round h to the nearest ten.
-70
Suppose 2*q = 4*q. Suppose -4*o - o = q. Round o to 5 dps.
0
Let l = 0.5900049 + -0.59. Round l to six decimal places.
0.000005
Let u = -0.1581892 + 0.178189. Let q = 0.02 - u. Round q to 6 decimal places.
0
Suppose -23*j = -9*j + 1400. Round j to the nearest 1000.
0
Let u(t) = -5*t**2 + 3*t - 1. Let o(p) = p - 1. Let a(c) = -5*o(c) - u(c). Let r = 7 - 15. Let q be a(r). What is q rounded to the nearest 100?
400
Let i = -10.5 - -10.500000444. Round i to seven decimal places.
0.0000004
Let y = 15 - 15.00106. What is y rounded to 4 dps?
-0.0011
Let h be (4 + 0)/(-4)*53. Round h to the nearest ten.
-50
Suppose 5*j - 4*y = 27, 3*j - 2 = -4*y - 5. Let k be -1 + j - (0 + 0). Suppose 3738 = k*m - 1062. Round m to the nearest one thousand.
2000
Let r = -0.22 + 0.08. Let b = 5.884 + -5.7. Let k = b + r. Round k to two dps.
0.04
Suppose -4*t + 3*b - 1 = 6, 4*t + 2 = 2*b. Suppose -3*a = -j + 20, 0*j - 4*j + 2 = a. Let g be 58 - (-6)/(a/t). What is g rounded to the nearest ten?
60
Let l = -26 + 28.1. Let c = l + -2.31. Le | {
"pile_set_name": "DM Mathematics"
} |
2*l)*(4 - 3 + 0)) - l**3 + 0 + 0.
29*l**3
Expand (6 - 2 + 2)*(-4*f - 7*f + 5*f).
-36*f
Expand 2*w**3 - 2*w**3 + w**3 - 17 + 17 - 4*w**3 + (5*w**2 - w**2 - 3*w**2)*(-w + w + w).
-2*w**3
Expand (-1 + 1 + 1)*(-1 + 4 - 1)*(-41 + 41 - 28*w**2).
-56*w**2
Expand 4 + 2*d**2 - 4 + (-5*d - 2*d - 3*d)*(0*d + d + d).
-18*d**2
Expand 4*j**2 - 2*j**5 - 4*j**2 + (4*j**2 - 4*j**2 - j**4)*(2*j - 2*j + 2*j) + (3*j**2 - 3*j**2 + 7*j**3)*(-1 + 1 - 2*j**2).
-18*j**5
Expand (16*n - 3*n - n)*(0*n - 3*n + 4*n)*(-2*n - 2 + 2).
-24*n**3
Expand (w**5 + w**5 + w**5 + (5*w - w**2 - 5*w)*(-3*w**3 + 0*w**3 + w**3) + 2*w**5 + 2*w**5 - 2*w**5)*(1 + 5 - 2 + (-3 + 3 + 1)*(-5 + 2 + 1) + 2 + 2 - 2).
28*w**5
Expand (1 + 2*s**2 + 0 + 2)*(5 - 3 - 4).
-4*s**2 - 6
Expand (4 - 2*f + 3*f + 0)*(4*f**2 + 0*f**2 - f**2).
3*f**3 + 12*f**2
Expand (3*h**2 - 3*h**2 + 6*h**2)*(h**3 - 3*h**3 - 6*h**3).
-48*h**5
Expand ((-7 - 1 + 3)*(-3 + 3 + 1) - 4 + 5 - 2)*(-4 + 0*z + 6 - z).
6*z - 12
Expand (-5*k + 0*k + 4*k)*((1 - 1 + 1)*(-3 + 3 - 1) - 3 + 4 + 8 - 2 - 1 + 1).
-6*k
Expand -3*l**5 + 2*l**5 + 20 - 23 + (4 - 6 + 1)*(-7*l**5 + 3*l**5 + 2*l**5) - 4*l**5 + 4*l**5 + 3*l**5.
4*l**5 - 3
Expand -4 - 3*d + 4 + (-4 + 5 - 3)*(-2 + 2 - 2*d) - 2 - d + 2 - d - 6 + 6.
-d
Expand (0 + 0 + m)*(12 - 134 - 3 - 4).
-129*m
Expand (-8*z**2 + 4*z**2 - 19*z**2)*((-1 - z + 1)*(0*z + 0*z + 3*z) + 0 + 0 + 2*z**2)*(6*z - 5*z - 1 + 0*z).
23*z**5 - 23*z**4
Expand (-3*i**2 + 7*i**2 - 2*i**2)*(-i**3 + 2*i**3 + i**3)*(-2 - 13 + 0).
-60*i**5
Expand (-2*b**3 + 2*b - 2*b)*(1 + 1 - 3 + (1 - 7 + 2)*(0 - 6 + 4) - 3 + 2 - 1)*(4 - 6 + 1).
10*b**3
Expand -u**4 - 6*u**4 + 0*u**4 + (2*u + 2*u**2 - 2*u)*(-u**2 - 2*u + 2*u) + 0*u**4 + 3*u**4 - 4*u**4.
-10*u**4
Expand (0*l - l + 3*l)*(21*l + 32*l - 11*l).
84*l**2
Expand (-s + 4*s + 4*s)*(s - 4*s + 0*s)*(1 + 0 + 1).
-42*s**2
Expand (2 - 2 + z)*(-4*z**2 - 2*z**2 + 2*z**2 + (z**2 - z**2 - z**2)*(0 - 1 - 1) + z**2 - 3*z**2 + z**2).
-3*z**3
Expand (-7*g**2 + 4*g - 4*g)*(-1 + 5 - 1).
-21*g**2
Expand (2*d - 9*d + 5*d)*(d**2 - 5*d**2 + 2*d**2)*(-d + 3 - 3).
-4*d**4
Expand (-5 - 2 + 2*q**3 + 3)*(-12*q - 2*q - 6*q).
-40*q**4 + 80*q
Expand 0*m**2 + m**2 - 2*m**2 + ((-4*m + m + 5*m)*(-m + m - 5*m) + 2*m**2 - 2*m**2 + 2*m**2)*(-3 - 3 + 5).
7*m**2
Expand o**4 - 2 + 2 + (-5 - 3 + 4*o + 6)*(0*o**3 - 3*o**3 + 0*o**3).
-11*o**4 + 6*o**3
Expand (0 - 5 - u + 6)*(-2*u + 2*u + u**3)*(4 + 1 + 0).
-5*u**4 + 5*u**3
Expand (f**4 - f**4 - 2*f**5)*(-1 - 2 + 1) + (f - 6*f**3 + 4*f**3 + f**3)*(-4*f**2 + 0*f**2 + f**2).
7*f**5 - 3*f**3
Expand (12 - 2 + 8)*(y**2 - 2*y**2 - y**2).
-36*y**2
Expand (4 - 1 - 5)*(4*z**2 - z**2 - z**2) + (2*z - 3 + 3)*(0*z - z + 0*z) + 2*z**2 + 4*z**2 - 3*z**2.
-3*z**2
Expand 3*m**5 + m**5 - 2*m**5 - m**5 - 5*m**5 - m**5 + (-3 + m + 3)*(4*m - 4*m + 2*m**4).
-3*m**5
Expand (-k**2 - k**2 + k**2)*(9*k + 2*k + 3*k + 2*k**2).
-2*k**4 - 14*k**3
Expand (0*p**2 - 1 + 4*p**2 - 2*p**2)*(4 - 4 - 2)*(1 - p - 1).
4*p**3 - 2*p
Expand (-3*k + 3*k - k)*(-k**2 + 3*k**2 - k**2) + 0*k**3 + k**3 + k**3 - 1 + k**3 + 1 + (4*k**2 - 4*k**2 + k**2)*(0*k - 4*k - 3*k).
-5*k**3
Expand (-k**2 - 2*k**2 + 2*k**2)*(k**3 - k**3 - 3*k**3 + ((-1 + 2 + 1)*(k + 0*k + 0*k) + 0*k - 7*k - 4*k - 2*k - 1 + 1)*(k**2 + 4 - 4)).
14*k**5
Expand (-2*j + 0 + 0)*(-1 - 2*j + 1) + 0*j**2 + 0*j**2 + j**2 - 10*j**2 + 23*j**2 + 18*j**2 + j**2 - 4 + 4.
37*j**2
Expand (-4 + 4 + 2*l)*(-12*l + 30*l - 4*l).
28*l**2
Expand (s**2 + 2*s + 1 - 1)*(s + 2*s - s - 7).
2*s**3 - 3*s**2 - 14*s
Expand (6 - 3 - 5)*(-2*p - p + 6*p)*(3*p + 2*p - 3*p + (1 + 3 - 6)*(-4*p + 4*p - 2*p)).
-36*p**2
Expand (-3*x**4 + 2*x**4 - 2*x**4)*(4*x + x - 3*x) - x**5 + 3*x**2 + 18 - 18.
-7*x**5 + 3*x**2
Expand (11 - 5 + 7)*(-2*o + 0 + 0 + (2*o + 0*o + 0*o)*(-4 + 4 + 2)).
26*o
Expand (-5*u + 4*u + 2*u)*(-3 + 1 + 4 + (3 - 2 + 1)*(5 - 3 - 4) + 2 - 1 + 3)*(2*u**3 + 9*u**3 - 3*u**3).
16*u**4
Expand (u + 5*u - 3*u)*(-2*u + 2*u - u)*(-4*u**3 + 5*u**3 - 4*u**3).
9*u**5
Expand (2 + 3 - 6)*(-6 - 12*p + 6) - 3*p - p + 3*p.
11*p
Expand (-3 + 3 - j**2)*(j - j + 2*j) + (2*j**3 - 2*j**3 - j**3)*(-1 - 1 + 5) - 5*j**3 + 3*j**3 + 4*j**3.
-3*j**3
Expand (1 - 1 + 3*w)*(-3 + 1 + 3)*(-9 + 5 + 5).
3*w
Expand 0*f - 5*f - 4*f**2 + 3 + 5*f**2 + (-3*f + f + 0*f)*(2*f + 0 + 0) + 1 - 1 - f**2.
-4*f**2 - 5*f + 3
Expand (-3 - 10 + 0)*(2*h**3 - h + h).
-26*h**3
Expand (1 + y + 1 - 5)*(-24*y + 27*y - 12*y).
-9*y**2 + 27*y
Expand -3*v**5 - 2*v**5 - v**5 + (2*v**2 - 1 + 1)*(3*v - v**3 - 3*v) + 3*v**5 - v**5 + 2*v**5.
-4*v**5
Expand (3*i - i - 4*i + 2)*(i + i + 0*i)*(-9 - 5 - 4).
72*i**2 - 72*i
Expand -3*u**2 + 3*u**2 - 2*u**4 + (2*u**2 - 2 + 2)*(0*u**2 + 0*u**2 + 3*u**2) - 3*u**3 - u**4 + 3*u**3 + (3*u**2 - u**2 + 0*u**2)*(-u**2 - 3*u**2 + 6*u**2).
7*u**4
Expand (3*l - 2*l - 4*l)*(-2*l**3 - 8*l**3 + l**3).
27*l**4
Expand (-1 + 1 - 3)*(-12*p + 12*p + 8*p**2).
-24*p**2
Expand 4*z - 4*z - 3*z**2 - 2*z**2 - z**2 + 5*z**2 + (-4*z + z + z)*(2*z + 3*z - z).
-9*z**2
Expand (-g**3 - 2*g + 2*g)*(-3*g - 40 - 2*g + 42).
5*g**4 - 2*g**3
Expand (2*p + p**2 - 65 + 65)*(p**2 + 5*p**2 - 5*p**2).
p**4 + 2*p**3
Expand (3*j**2 - 2*j**2 + j**2)*(3 - 3 + j) - 2*j**3 - 15*j**3 + 5*j**3.
-10*j**3
Expand (h - h - h**2)*(4*h**3 - 3*h**3 + 3*h**3) - 17*h**4 + 12*h**5 + 17*h**4.
8*h**5
Expand (t + t - 3*t)*(-4 - 18 + 10 - 3 + 4 - 3 + (-1 + 3 - 3)*(3 - 4 + 3)) + 2*t - 3*t + 2*t + (-t + 5*t - 2*t)*(4 - 2 + 0).
21*t
Expand (2 - 1 - 4)*(a + 3*a - 2*a) + (-1 + 0 + 2)*(a - 6 + 6).
-5*a
Expand (-2*o + 0*o + o)*(-5 + 10 + 2) + (-4*o + 3*o - o)*(2 - 5 + 4).
-9*o
Expand ((-1 - 4 + 4)*(-2*r + 0*r + 0*r) + 2*r - 1 + 1 - 2*r + 3*r + 2*r - r + 0*r + 3*r)*(-r - 3*r + 3*r) + (-3 + r + 3)*(2*r - r + 0*r).
-8*r**2
Expand (0 + 0 + n)*(n**3 + 10*n**3 + 0*n**3) + 1 + 2*n**4 - 1 + (-n + n - n**4)*(3 + 0 - 4) + 2*n**4 - 2*n + 2*n.
16*n**4
Expand -1 + c + 1 + (c - 4 + 4)*(1 - 1 + 1) + (9*c - 5*c + 2*c)*(3 + 2 - 2).
20*c
Expand (-10 - 12 + 28)*(-2*k + 0*k - k).
-18*k
Expand -3 + 3 + 4*r + (-2 + 2 - 2*r)*(-1 - 1 + 1).
6*r
Expand (-1 + 1 - 2*c)*(4*c**2 + 2*c**2 - 2*c**2) + (0*c**2 + 2*c**2 - 5*c**2)*(-c + c - 2*c).
-2*c**3
Expand (-3 - 3 + 3)*(291 - 291 - 4*d**4)*(-5 + 3 + 0).
-24*d**4
Expand (-6*x**2 + x**3 + 6*x**2)*(-38*x - 38*x + 12*x).
-64*x**4
Expand (0*u + 6*u - 3*u)*((u**2 - 4 + 4)*(0 + 0 + 2*u**2) - u + 7*u**4 + 3*u - 6*u**4).
9*u**5 + 6*u**2
Expand -4 + 4 - 6*q**3 + (-1 + q + 1)*(2*q - 2*q + q**2) - 2*q**2 + 2*q**2 + 2*q**3 - 3*q**3 + q**3 + q**3.
-4*q**3
Expand (0*w**3 - 3*w**3 + w**3)*((-2 + 2 + 2)*(1 - 1 - 2*w) + w - 4*w + 6*w) - w + w - 3*w**4.
-w**4
Expand (-2 + 0 + 1)*(-m - 3*m**4 - 2 + m).
3*m**4 + 2
Expand (f - 3*f + 0*f)*(207 - 207 + 9*f**2).
-18*f**3
Expand (2*u - 3 + 3)*(3*u - 2*u - 4*u) + (1 + 3 - 5)*(-u**2 - 2*u**2 + 5*u**2).
-8*u**2
Expand -4*p - 2*p + 4*p - 4 + 3*p + 4 + (-1 + 1 - 2*p)*(-2 + 4 + 1).
-5*p
Expand (2 - 1 - 3)*(-2*m - m - m) + 3*m + 2*m - 2*m.
11*m
Expand 18*b - 4*b**4 - 18*b - 4*b**2 + b**4 + 4*b**2 + (2 + 2 - 3)*(-3*b**4 + 2*b**4 - b**4).
-5*b**4
Expand -y**2 - y**3 + y**2 + (2*y - 1 - 2 + 4)*(-7*y**2 + 11*y - 11*y).
-15*y**3 - 7*y**2
Expand (-109*w - 2*w**2 + 109*w)*(-2*w**2 + 1 + 5 - 5).
4*w**4 - 2*w**2
Expand (-3 + 3 + 1)*(u**2 + 4 - 4)*(0 + 4 - 2).
2*u**2
Expand 4*c - 4*c + c + (-1 - 11 - 1)*(2*c + 4*c - 5*c).
-12*c
Expand (-w**3 - 5*w**3 + w**3)*(4*w - 6*w + 6*w) + w**4 - 2*w**4 + 0*w**4.
-21*w**4
Expand -13*r - 2*r**5 + 3*r**5 + 10*r + (-2*r**2 + 4*r**2 - 4*r**2)*(4*r**3 - 3*r**3 + r**3).
-3*r**5 - 3*r
Expand (6*w + 3 - 3)*(2*w**2 + 2*w - w - 2*w**3 - 5*w**2).
-12*w**4 - 18*w**3 + 6*w**2
Expand (1 - 1 + 3)*(2*k**3 - 2*k**3 + 13*k**3).
39*k**3
Expand (4 - 1 + 0)*(2*t**3 + 3*t**3 - 4*t**3) + 5*t**3 - 3*t**3 - 3*t**3.
2*t**3
Expand (2 - 3 - 1)*(-2 - 230*w**3 - 60*w + 58*w + 238*w**3).
-16*w**3 + 4*w + 4
Expand -3*j**2 + j - j + (3 + 2 - 4)*(0*j**2 + 0*j**2 - j**2) + (2 - 2*j - 2 + 2*j - 2*j - 3*j + (-1 + 2 + 0)*(0*j - 2*j + j))*(-3*j - 4*j + 0*j).
38*j**2
Expand (a + 2*a - a)*(-3*a + 4*a + a) + 0*a**2 - 4*a**2 + 2*a**2 + 3*a**2 - 3 + 3.
5*a**2
Expand (0*m**2 - m**2 + 3*m**2)*(-5*m**2 + 3*m**2 + 3 + 3*m**2).
2*m**4 + 6*m**2
Expand (17*g**2 + 2*g**2 + 10*g**2)*(2*g - g - 2*g)*(-2 - g + 2)*(-5 + 5 + 5*g).
145*g**5
Expand -2 + 2 - 2*s**2 + (-s + s + 4*s**2)*(2 - 1 - 4).
-14*s**2
Expand (-2 + 2 - 1)*(3*n**3 - n**3 - 3*n**3) - n**3 | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of -1993043*s**5 - 1645494*s**2 wrt s?
-119582580*s**2
Find the second derivative of -b**2*q**2*v + 537046*b**2*v**2 - 2*b**2*v + 202*b*q**2*v + 15*b*q**2 + q**2*v**2 + 3*q**2*v wrt v.
1074092*b**2 + 2*q**2
What is the second derivative of -12200*y**5 - y - 821?
-244000*y**3
Find the third derivative of 4*p*u**3 + 16*p*u**2 - 10*p*u - 104*p + 72644*u**4 - u**3 + u**2 wrt u.
24*p + 1743456*u - 6
Differentiate 4*c**3 - 49*c**2 - 11*c + 14635.
12*c**2 - 98*c - 11
What is the third derivative of 20*c**4 + c**3*m**3 + 4*c**3*m**2 + 159*c**3 + 70756*c**2*m**3 wrt c?
480*c + 6*m**3 + 24*m**2 + 954
What is the third derivative of -55*q**4*w + 1521*q**4 + 18*q**2*w + 33*q**2 + q*w + 4*w wrt q?
-1320*q*w + 36504*q
Find the third derivative of -72*i**3*l**3 + 22*i**3 - 63*i*l**3*u**3 - 57*i*l*u**3 + 2*l**2 - 16 wrt l.
-432*i**3 - 378*i*u**3
What is the first derivative of -9516*z - 27437?
-9516
Find the third derivative of 78996*l**5 + 2*l**4 - 2*l**3*r + 21*l**2*r - 780*l*r - 6*r wrt l.
4739760*l**2 + 48*l - 12*r
Find the second derivative of -o**3*t**3 - 5*o**3 + 5227*o**2*t**5 + 92*o**2*t + 11*o*t - t wrt t.
-6*o**3*t + 104540*o**2*t**3
What is the second derivative of 24359*h**3 - 2*h**2 + 1276757*h wrt h?
146154*h - 4
Find the third derivative of -560028*d**3 + 42*d**2 + 186*d wrt d.
-3360168
Find the third derivative of 113*j**2*s**3 + j**2*s*v**3 + 659*j**2*s*v**2 + 2*j*s**2*v - j - 622*s**3*v**3 + 3*s**3*v - v**3 + 2*v wrt s.
678*j**2 - 3732*v**3 + 18*v
Differentiate 149*t**2 - 2623*t + 1759186 with respect to t.
298*t - 2623
Find the first derivative of -56770*c + 83009.
-56770
What is the third derivative of -10*n*s**3 + 97*n + 464*s**4 - 3*s**2 - 10 wrt s?
-60*n + 11136*s
Differentiate -8235*k**3 + 49994 wrt k.
-24705*k**2
Find the third derivative of -5*a**3*c*n + 224*a**3*n**4 + 65*a**3*n**2 - a**2*c + 18*a**2*n**2 - 2*a*c*n**4 - 10*c*n**3 + 1 wrt n.
5376*a**3*n - 48*a*c*n - 60*c
Differentiate -49289*n**3*q + 2*n**3 - 1523*n**2 with respect to q.
-49289*n**3
Find the second derivative of -177*k**2*l**2 + 10*k**2*l - k*l**2 + 3*k*l - 38*k - 52*l**2 + 15*l wrt l.
-354*k**2 - 2*k - 104
Find the second derivative of 1246800*v**5 + 1603548*v.
24936000*v**3
Differentiate -22737*c*z + 35794*c wrt z.
-22737*c
Find the second derivative of -337946*y**3 - 3814*y + 3 wrt y.
-2027676*y
What is the second derivative of 5340*w**5 - 2*w**4 + 169684*w wrt w?
106800*w**3 - 24*w**2
Differentiate 192776*f**2 + 304055 with respect to f.
385552*f
What is the second derivative of -34*z**3 + 2086*z**2 + 15*z + 21359 wrt z?
-204*z + 4172
What is the third derivative of 185*d**6 + 211*d**4 - 425691*d**2?
22200*d**3 + 5064*d
Find the third derivative of 61964*b**4 + 22*b**2 - 87.
1487136*b
Find the second derivative of -1234826*m*s**2 - 188*m*s - 1330*m wrt s.
-2469652*m
Find the second derivative of -25*k**4 - 91*k**2 - 468*k + 4 wrt k.
-300*k**2 - 182
Find the third derivative of -257*o**4 - 27*o**3*t**2 - o**2*t**2 - 12717*o*t**2 wrt o.
-6168*o - 162*t**2
Find the second derivative of 148*l**3 - 350*l**2 - 3*l - 6668.
888*l - 700
Differentiate 7*c**3*w + 3*c**3 - 874*c**2*w - 22*c**2 - 3*c*w + 3266*c - 2*w with respect to w.
7*c**3 - 874*c**2 - 3*c - 2
Find the first derivative of 424*d*s - d*t - 3*d + 166*s*t**2 + 9*t**4 wrt t.
-d + 332*s*t + 36*t**3
Find the third derivative of -11832*h**3 + 2*h**2 - 112*h + 164.
-70992
What is the third derivative of -128601*d**6 - 5491*d**2 - 3 wrt d?
-15432120*d**3
What is the first derivative of 793*g**4 - 37*g**2 + 239030 wrt g?
3172*g**3 - 74*g
What is the third derivative of 285915*u**6*v**2 + 3*u**3*v**2 - 18636*u**2*v**2 + 5*v**2 wrt u?
34309800*u**3*v**2 + 18*v**2
Find the third derivative of 11*n**5 - 26*n**4 - 31*n**3 - 33965*n**2 - 5*n wrt n.
660*n**2 - 624*n - 186
What is the second derivative of 15*f*p**2*y**2 - 2*f*p*y - 3*f*p + 289*p**3*y**2 - 4*p**2 + 219174*y**2 wrt p?
30*f*y**2 + 1734*p*y**2 - 8
What is the second derivative of f**5*v + 3369*f**3*v + 76441*f*v wrt f?
20*f**3*v + 20214*f*v
What is the third derivative of -383741*i**4 - 266259*i**2 wrt i?
-9209784*i
What is the third derivative of -78065*u**4 + 315341*u**2 wrt u?
-1873560*u
Find the third derivative of -339620*s**4 - 4*s**2 + 2946*s wrt s.
-8150880*s
Differentiate -21*b**4 - 145*b**2 - 8161.
-84*b**3 - 290*b
What is the second derivative of 1945*h**3 + 3*h**2*q**2 - 2765*h*q**2 + 2*h*q + 2*h - 2*q - 5 wrt h?
11670*h + 6*q**2
Find the second derivative of 10284*w**5 + 2*w**3 + w**2 - 30*w - 52591.
205680*w**3 + 12*w + 2
What is the derivative of -825597*d + 1365528 wrt d?
-825597
What is the third derivative of -1657844*y**3 + 2*y**2 - 488952*y wrt y?
-9947064
Find the first derivative of 604918*l*s**2 + 2746*s**2 + 100 wrt l.
604918*s**2
What is the third derivative of -25138*l**3 - 5*l**2 + 213*l + 1 wrt l?
-150828
Find the second derivative of -154489*m**5 + 211728*m.
-3089780*m**3
What is the third derivative of -524524*t**4 + 3*t**3 - 49*t**2 - 2*t + 4018?
-12588576*t + 18
Differentiate 4*f**2*j + 2*f**2 - 1137*f*j*s + 692082*j*s with respect to f.
8*f*j + 4*f - 1137*j*s
What is the third derivative of -s**4 + 22170*s**3 + 277*s**2 - 5*s - 1 wrt s?
-24*s + 133020
Find the second derivative of -159*j**5 - 611*j**4 - j**3*l + 15*j*l - 10845*j - 3 wrt j.
-3180*j**3 - 7332*j**2 - 6*j*l
What is the third derivative of -82*u**6 + u**4 - 554*u**3 + 814329*u**2?
-9840*u**3 + 24*u - 3324
Find the third derivative of -3*t**6 - 73454*t**3 - 3*t**2 - 173130 wrt t.
-360*t**3 - 440724
Find the second derivative of 12*d*g*w**3*y - 24*d*g*y**2 + 4*d*g + 10*d*w + 43*g*w**3*y**2 - w**3*y wrt y.
-48*d*g + 86*g*w**3
What is the second derivative of 765*i**4 + 23*i**3 - i**2 - 61*i + 891?
9180*i**2 + 138*i - 2
Find the second derivative of 136201*z**5 + 205*z - 378 wrt z.
2724020*z**3
Differentiate -4303217*o*y - 6031529*y wrt o.
-4303217*y
What is the second derivative of -81637*j**2*k**2 + 2*j**2*y - 3871*j + k**2*y + 74*k**2 - 1 wrt j?
-163274*k**2 + 4*y
Differentiate -3433*p**4 + 19182 wrt p.
-13732*p**3
What is the first derivative of -232021*p*u*z**2 + 3*p*u - 253*p*z - u*z**2 + 561*z**2 wrt u?
-232021*p*z**2 + 3*p - z**2
What is the second derivative of -44163*w**5 + w**4 + 19*w + 3035 wrt w?
-883260*w**3 + 12*w**2
Find the first derivative of -1121656*h**3 + 2*h**2*r**3 + 3223171*r**3 wrt h.
-3364968*h**2 + 4*h*r**3
Find the second derivative of -83145*h**2 - 2*h + 737.
-166290
Differentiate -24*c**3*n + 1083*c*n**2 + 2*c*n - 19*n**2 + 333*n + 1 with respect to c.
-72*c**2*n + 1083*n**2 + 2*n
What is the third derivative of -3*j**3*v + 1334*j**3 + 4056*j**2*v + 2*j**2 + v - 2 wrt j?
-18*v + 8004
What is the second derivative of 2039*a**3*c**2 + a**3 - 10*a**2*c - a**2 + 3460*a*c - 62*c**2 wrt a?
12234*a*c**2 + 6*a - 20*c - 2
Differentiate 340328*h*s + 2*h - s**3*x + 21*x - 7249 with respect to s.
340328*h - 3*s**2*x
What is the second derivative of -2312376*w**2 + 2572*w - 9?
-4624752
Find the first derivative of 23*k**2 - 294*k*w + 5616*w wrt k.
46*k - 294*w
Find the second derivative of -6*g**3*v - 2*g**2*s + 52*g**2*v**2 - g*v**2 + 5*g*v + 229*s wrt g.
-36*g*v - 4*s + 104*v**2
What is the third derivative of -325487*k**3 + 361454*k**2?
-1952922
Differentiate -2*u**4 - 4*u**3 + 3414*u - 332905 with respect to u.
-8*u**3 - 12*u**2 + 3414
What is the third derivative of -2438569*f**4 - 13283*f**2 - 3*f - 9 wrt f?
-58525656*f
What is the second derivative of 243505*r**2 - r - 439566?
487010
Differentiate 7984*d**4 + 2*d**3 - 4*d + 2148072 wrt d.
31936*d**3 + 6*d**2 - 4
What is the derivative of 52*c**2*p - 2*c**2 - 2*c*p - 6*c - 471*p - 1 wrt c?
104*c*p - 4*c - 2*p - 6
Differentiate 37*l**3*s*t - 14866*l**3*t - 3*l**2*t - 2*l*s - 865*s wrt s.
37*l**3*t - 2*l - 865
What is the derivative of -10*o**2*p**3 + 4355*o**2*p**2 - o**2 + 3722 wrt p?
-30*o**2*p**2 + 8710*o**2*p
Find the second derivative of 3333500*n**3 + 1134159*n wrt n.
20001000*n
Find the third derivative of 754896*c**2*n**4 + 5*c**2*n**2 - c**2 + 18673*c*n**2 wrt n.
18117504*c**2*n
What is the second derivative of 2*y**3*z**2 - 22*y**2*z**2 - 248*y**2*z - 834*y*z**2 - 23*y*z wrt y?
12*y*z**2 - 44*z**2 - 496*z
Find the third derivative of 246429*o**3*v**3 - 976*o**3*v* | {
"pile_set_name": "DM Mathematics"
} |
mainder when x(1) is divided by 10?
9
Let v = 27 + -73. Suppose -82*o = -86*o + 284. Let a = v + o. What is the remainder when 74 is divided by a?
24
Let i be 2/6*-8*-3. Let d = 11 - i. What is the remainder when 4 is divided by d?
1
Let x = -13 - -29. Let z(i) = 8*i**2 - i - 3. Calculate the remainder when z(-2) is divided by x.
15
Let r(y) = 61*y - 2. Let g be r(2). Suppose -6*m = -m - g. Calculate the remainder when m is divided by 9.
6
Let w(s) = 2*s**2 - 3*s + 1. Let u be w(2). Suppose -43 = -4*v - 3*p, -5*v + v + u*p + 13 = 0. What is the remainder when v is divided by 2/5 + (-26)/(-10)?
1
Suppose 5*o = 5 + 35. Let b(y) = 2*y + 3. What is the remainder when 35 is divided by b(o)?
16
Suppose -2*y + 3*y + 10 = -5*g, g - 19 = 4*y. What is the remainder when (44 - -1) + (-5)/y is divided by 24?
22
Let j = -33 - -47. What is the remainder when 54 is divided by j?
12
Let f(x) = -x**2 + 6*x. Let k be f(6). Suppose 4*g - 4*b - 88 = 0, 2*g + k*b - 3*b - 39 = 0. What is the remainder when g is divided by 14?
13
Suppose 0 = 4*y + 4*b + 692, 2*b = -4*y - 3*b - 695. Let p = 100 + y. Let l = p - -116. What is the remainder when l is divided by 16?
14
Let f(l) = -6*l - 18. Suppose -3*o + 74 + 25 = 0. Calculate the remainder when o is divided by f(-6).
15
Suppose -2*l = -4*l + 24. Suppose d - l = -3*d, j + 3*d - 19 = 0. Let y = j - 5. What is the remainder when y is divided by 4?
1
Let f = 171 - 87. What is the remainder when f is divided by 29?
26
Let t = -9 - -20. Let h = -6 - -10. Calculate the remainder when t is divided by h.
3
Suppose -20 = -4*o - 5*u + 5, -5*o + 5*u - 25 = 0. Suppose 4*c + 2*h - 46 = 0, o = -3*c - 5*h + 2*h + 39. Calculate the remainder when 19 is divided by c.
9
Suppose 0 = a + 1 - 9. Suppose -43 = -j - 5*f, 0*f = 5*j + 3*f - 127. Calculate the remainder when j is divided by a.
7
Suppose -h + 3*h - 8 = 0. Suppose -h*r + 10*r = 78. What is the remainder when 38 is divided by r?
12
Suppose 0 = 2*l - 114 - 10. Suppose -5*p + l + 13 = 0. Suppose 0 = z - 1 - 7. What is the remainder when p is divided by z?
7
Let f = -53 + 120. Let x(z) = 5*z + 52. Calculate the remainder when f is divided by x(-7).
16
What is the remainder when 2424/18 + 2/(-3) is divided by 34?
32
Let o = -10 + 13. Suppose -o + 65 = 2*a. Calculate the remainder when a is divided by 11.
9
Suppose -l = -10*l + 45. Calculate the remainder when 38 is divided by l.
3
Suppose -5*x - 27 = -d, 21 = 4*d - d - 3*x. Let t be d/3*(-2 + 35). Suppose -2*f - 2 + t = 0. What is the remainder when 18 is divided by f?
8
Suppose 0 = -0*s - s + 5. Suppose -o - s*b - 18 = o, -3*o + b = -7. Calculate the remainder when (8 - -2)/(o + 1) is divided by 2.
1
Let d = -10 - -21. Let m = -52 - 10. What is the remainder when (3/6)/((-1)/m) is divided by d?
9
Calculate the remainder when 33 is divided by (-6)/(-2 - -1) - -3.
6
Suppose 0*j - 28 = -j. Calculate the remainder when 82 is divided by j.
26
Suppose 2 = -2*p + 26. Calculate the remainder when (-44)/(-2) - (-2)/(-2) is divided by p.
9
Suppose -o - 1 - 1 = 0, 0 = -5*f - 4*o - 3. Suppose r - 2*r = f. Let p = 6 - r. Calculate the remainder when 19 is divided by p.
5
Let m(i) = -6*i**2 + 7 + i**3 + i - i. Let w(g) = 2*g - 1. Calculate the remainder when m(6) is divided by w(2).
1
Suppose 1 = b - 2. Let p(s) = -10*s + 3. Let u be p(b). Calculate the remainder when u/(-33) + 4/22 is divided by 1.
0
Suppose -1 - 3 = -2*g. Suppose 4*u + 8 = 3*w + w, -w - 2*u + 5 = 0. What is the remainder when w is divided by g?
1
Suppose 302 - 18 = 4*s - 4*l, 3*l = -2*s + 157. Calculate the remainder when s is divided by 25.
24
Let b(f) be the first derivative of f + 6 + 4*f**2 + 0*f**2 + 3*f - 3. What is the remainder when b(3) is divided by 15?
13
Suppose -4*y + 84 = 4*o, -3*y = -3*o - 2*o + 65. Let v(t) = -t**2 - t - 1. Let q be v(0). What is the remainder when o is divided by 0 - (q - 2)*2?
4
Suppose a - 5 = 9. Calculate the remainder when 53 is divided by a.
11
Let h = 25 - -28. Calculate the remainder when h is divided by 27.
26
Let r be -2 - ((-4)/(-2))/(-2). Let o = r + 4. Calculate the remainder when -4 + -1 + o - -5 is divided by 2.
1
Let c = -92 + 130. What is the remainder when 70 is divided by c?
32
Let k(b) = -b**3 + 12*b**2 - 17*b - 13. What is the remainder when 65 is divided by k(10)?
14
Let q(y) = y - 2. Let r be q(6). Let o be 112/(-4)*(-3)/6. What is the remainder when r/(8/o)*1 is divided by 3?
1
Let a(t) = 3*t**2 - t + 1. Let l = 16 - 11. Suppose -l*h = -115 + 35. What is the remainder when a(-3) is divided by h?
15
Suppose -1 + 5 = c. Calculate the remainder when 10 is divided by c.
2
Suppose 5*r - 10*r = -20. Suppose -3*v = r*k + 49 - 248, -3*v - 46 = -k. Suppose -3*i + 52 = 1. What is the remainder when k is divided by i?
15
Suppose 4*x - 5 + 45 = 0. Let n = x - -16. Let w(u) = u**3 - 7*u**2 + 8*u. Calculate the remainder when w(n) is divided by 7.
5
Suppose 5*m - 2*p - 89 = 0, -2*m - p + 2*p + 36 = 0. Suppose 3*t = t - 3*j - 21, -3*t + 5*j - 79 = 0. What is the remainder when m is divided by t/15*(0 - 5)?
5
Let l be 81/18 + (-1)/(-2). Suppose -l*c = -c - 32. Calculate the remainder when c is divided by 3.
2
Let j(y) = -4*y**3 + 2*y + 1. Let l be j(-1). Suppose -4*p = -l*s - 0*p + 9, 4*s - 25 = p. What is the remainder when s is divided by 1 - 2 - (-5 + 1)?
1
Suppose -5*q + 84 + 101 = 0. Calculate the remainder when q is divided by 14.
9
Suppose 3*g + 3*b + 1 = -20, 4*g + 25 = -3*b. Let q = 7 + g. Calculate the remainder when 4 is divided by q.
1
Suppose 40*v = 39*v + 34. Calculate the remainder when 67 is divided by v.
33
Let l(n) = -n - 4. Let s be l(-4). Let w = s - 6. Calculate the remainder when 4 is divided by (-32)/(-14) - w/(-21).
0
Suppose 48 = 2*x + 2. Calculate the remainder when 90 is divided by x.
21
Let l = 179 - 117. Suppose -3*o + 74 = 4*h - 0*o, l = 4*h - 3*o. Suppose -48 = -i - 0*i. What is the remainder when i is divided by h?
14
Suppose n + 4*i - 4 = 0, 7*i + 25 = 2*i. What is the remainder when 90 is divided by n?
18
Suppose 1106 = 4*w - 674. Calculate the remainder when w is divided by 56.
53
Suppose 5*f - 238 = -73. Calculate the remainder when f is divided by 7.
5
Let f = 16 + -11. Suppose 0 = -4*n - n + f. What is the remainder when 6 is divided by 1/(n/4) - 0?
2
Suppose -q - w + 115 = w, -2*w - 2 = 0. What is the remainder when q is divided by 40?
37
Suppose -83 = -4*o + h - 6*h, 0 = -h + 3. Suppose 340 = 9*j - 236. Calculate the remainder when j is divided by o.
13
Suppose -5*r + 40 + 20 = 0. Calculate the remainder when 22 is divided by r.
10
Suppose -3 - 3 = -k. Calculate the remainder when (k + 2 - -2)/2 is divided by 4.
1
Calculate the remainder when (-1620)/(-42) - (-20)/(-35) is divided by 1/4 - (-78)/8.
8
Suppose 1 = 4*p - 15. Let a = p - 1. Calculate the remainder when 7 is divided by a.
1
Suppose 0 = l - 2*l - 30. Let a = -19 - l. Calculate the remainder when 32 is divided by a.
10
Suppose 3*k + 2*v = 127, -v - 71 - 50 = -3*k. What is the remainder when k is divided by 11?
8
Let c = -1 + 4. Calculate the remainder when 11 is divided by ((-8)/c)/4*-6.
3
Suppose -5*l = -27 + 2. Suppose 92 = 3*d + l*j, 0 = -4*d + 2*j + 3*j + 76. What is the remainder when d is divided by 13?
11
Let b = 29 - 17. Calculate the remainder when 46 is divided by b.
10
Suppose 2*y = 4*v + 48, 3 = -4*v + 11. Let f be (102 + -3)/((-6)/(-4)). Calculate the remainder when y is divided by (-12)/f + (-112)/(-11).
8
Let a = -9 - -13. Calculate the remainder when 17 is divided by a.
1
Let s(t) = 10*t - 1. Let k be s(1). Let y = 34 - k. What is the remainder when 123 is divided by y?
23
Let w be ((-32)/6)/(-2)*-3. Let x be ((-6)/(-5))/(w/(-60)). Let n = 16 - x. Calculate the remainder when 20 is divided by n.
6
Let z(r) = 2*r**3 + 2*r**2 - r - 3. Let n be z(-3). Let q = 59 + n. Calculate the remainder when 44 is divided by q.
21
Let g(u) = -65*u. Let w be g(-1). Let y = w + -39. Calculate the remainder when y is divided by 7.
5
Let d(a) be the second derivative of a**3/6 + 12*a**2 - a. Calculate the remainder when d(0) is divided by 32/2*1 + -3.
11
Suppose 0 = 2*t + k, k + 0*k + 2 = -t. Suppose 3*l - 45 = -4*z + 3, 0 = -t*z - 2*l + 24. Suppose s + 3*s = 88. Calculate the remainder when s is divided by z.
10
Let x = -4 + 17. Suppose | {
"pile_set_name": "DM Mathematics"
} |
*t, -2*t + 41 + g = -3*v. Let q = v + 24. Solve q*y = 2*s, -3*s + 10 = s - 5*y for s.
5
Let z = -23 + 25. Suppose 3*r = -3*u, 2*r + 4 + z = -4*u. Solve 4*k - 4*l = -20, 5*k + r*l = 2*l - 25 for k.
-5
Let d(c) = -c**3 - 9*c**2 + 12*c + 9. Suppose -5*f + 5*p - 62 = -12, -30 = 3*f - p. Let n be d(f). Let v = n - -16. Solve v*h - 4*o - 8 = h, -25 = 5*o for h.
-3
Let z(s) = -s**2 + 10*s - 17. Let r(y) = y + 18. Let n be r(-11). Let f be z(n). Solve 0 = 2*l - 2*j - 2, 5*l - 12 = l - f*j for l.
2
Let w(g) = 2*g**2 - 8*g - 22. Let r be w(-2). Solve 2*y - 5*j = -2 - 13, 2*j = r for y.
-5
Suppose -4 = 409*w - 410*w. Let v be (-9)/(-18) + (-3)/(-2). Solve u + 4 = v*u - 3*a, 0 = -w*u - 2*a - 26 for u.
-5
Let x be (6/(-4))/(1 - 36/24). Solve -v + 16 = 3*h, -x*h - 8 = -v - 4*v for v.
4
Let b(p) = -5*p - 278. Let x be b(-56). Solve x*a - 4 = -3*q, -2*a = 2*a + 2*q - 16 for a.
5
Suppose -20 = -4*v + 4*m, -4*v - m + 6*m + 17 = 0. Let j = -1670 + 1672. Solve -s + l = 4, -j*s + 4*l - v = -l for s.
-4
Let x be (-6)/20 + -7*(-1209)/210. Solve -5 = 4*k - 5*h + x, 4*h - 20 = 0 for k.
-5
Let a = -205 - -211. Solve 5*l + 15 = -5*y, -4*l = -4*y - a - 14 for y.
-4
Let i be (197 - 190) + (2*-1 - 1). Solve 4*g + 3*x - 4 = x, i*x + 16 = 0 for g.
3
Let r = -11 - 28. Let b = r + 44. Let i = -5 + 7. Solve z - 28 = b*q - i*z, 3*z = -2*q - 7 for q.
-5
Suppose y + 3*k + 10 + 3 = 0, 2*k + 10 = 0. Let i(u) = -u**3 - 6*u**2 + 6*u - 4. Let t be i(-7). Let z = 12 - 6. Solve -f + y*d = 6*d - 2, z = t*f - 3*d for f.
2
Let n = -22 - -21. Let l be (-8 - (17 - 4))*n/1. Solve 4*m + 24 = w, -2*m + l = 4*w - 3*m for w.
4
Suppose -3*p = 5*r - 20 - 35, 5*p = 3*r + 35. Solve 3*u - 4*j - 10 = 0, -5*j = -4*u - u + p for u.
-2
Let j(k) = k**2 - 5*k - 10. Suppose 0*t - 28 = -4*t. Let z be j(t). Let h be (4 - 4)/(-3 + z). Solve h*c + 7 = -c - 4*g, 2*g + 6 = 0 for c.
5
Suppose 20*r + 165 = 25*r. Let y = r + -27. Let x(m) = m**2 - 4*m - 5. Let o be x(y). Solve -4*v - 2*s + 4 = 0, 2*v - 3 = 3*s + o for v.
2
Let r(c) = -4*c + 183. Let z be r(45). Solve 4*j - 18 = -a - z, -j + a = -10 for j.
5
Let s = -146 - -147. Let b be 2/(-4) - (-33)/6. Let o be 95/b + (-3)/s. Solve -6*d = -3*d + j + 3, 2*d - 4*j = -o for d.
-2
Let n = 8 + -18. Let y(t) = t**3 + 9*t**2 - 12*t - 18. Let q be y(n). Solve b + 8 = 5*l, 0*b + l = -b - q for b.
-3
Let j be 23/5 - (-9)/(-15). Suppose j*g - 1 - 5 = -w, 3*g + 3 = 3*w. Let b(x) = -x**2 + 4*x - 2. Let h be b(w). Solve -4*f + 12 = 2*o - h, -20 = -4*f for o.
-3
Let m = -485 + 487. Solve 5*y + 0*y - 3*t - 7 = 0, -m*y - 3*t = 14 for y.
-1
Let x(s) = -s - 1. Let k = 12 - 12. Suppose c + 6 = -5*g, 5*c + k*g + 4 = g. Let i be x(c). Solve -3*o - 6 = 2*y, -2*y - 5*o + 3*o - 4 = i for y.
0
Let o(l) = -4 + 21*l + 0 - 27*l + 3. Let p be o(-4). Solve p = -3*t - 4*n, -3*t + 5*t = 4*n + 18 for t.
-1
Let y be (9 - -1)*(-4)/(4*-2). Suppose -y*q - 10 = -7*q. Solve 4*j - 21 = -q*s, 4*j + 2*s - 12 = 6*s for j.
4
Let d be 3*-5*4/(-6). Let n(i) = -i + 1. Let t be n(-3). Suppose 0*q = t*a + 2*q + 10, 0 = 3*a + 4*q + 20. Solve a = -r - 5*u + 12, d*r + u = 5*r - 12 for r.
-3
Let l(c) = 2*c - 10. Suppose 4*y - 14 - 4 = -2*n, 2*n = y - 7. Let p be l(y). Solve -4*i = 3*v - 23, v + p*i + 4*i - 13 = 0 for v.
5
Let g be -14*(1 + -3 - -1). Suppose v = 3*v + 4*o + g, -v - 3 = o. Suppose 5*b = 19 + v. Solve b*x = -3*m + 17 + 2, -4*x = 4*m - 24 for m.
5
Suppose 9*o - 43 + 7 = 0. Suppose 9*u - 14 = 4*u + i, -3*i = 12. Suppose 5*b - u = 3. Solve -o*q + k = -17, -2*q + 5*k = 4 + b for q.
5
Let j(o) = 3*o**2 + 38*o - 8. Let h be j(-13). Solve 0 = -5*q + h*v + 5, -2*v = -4*q - 5*v + 11 for q.
2
Let a be ((-15)/(-30))/((-2)/12). Let n = 6 - a. Solve 4*w - 37 = 5*q, -4*w + 4*q = -n - 23 for w.
3
Suppose 4*f = -404 + 420. Solve -f*q - q = 0, p = q - 2 for p.
-2
Suppose -2*c + 29 = -5*t, t + 6 = -2*c - t. Let v = -110 - -114. Solve -c*s = -2*x - v, -22 = 5*s + 5*x + 18 for s.
-3
Suppose 4*i = -2*b + 250, -5*b = -4*i + 12 - 623. Suppose -3*g + b = 18. Suppose 0 = -l + 38 - g. Solve 0 = k - l, -2*k - 11 = a - 7*k for a.
4
Suppose -13*h = -17*h. Suppose h = -0*z + z - 6. Solve c = 4*n + 12, -4*n - 5*c = -z + 18 for n.
-3
Suppose 47*h = 44*h + 4*r - 20, -10 = -h - 2*r. Solve h = 2*b + 5*p - 19, -12 + 39 = -4*b + 3*p for b.
-3
Let i = 25 - 11. Suppose 3*n + 3*j - 10 = 5, -3*j = -6. Suppose -n*s = 5*g - 2*s - i, 0 = -2*g + 2*s - 4. Solve g*u - 4*p + 12 = 0, 2*u = -p - 3*p + 12 for u.
0
Suppose -22*g + 21*g + 16 = 4*s, 2*g - 2*s = -8. Suppose 1 = 4*m - 7. Solve g = -4*h + 4, -o - m*o = -h + 4 for o.
-1
Let b be 0 + (0/1)/5. Suppose b = -5*o - o + 24. Solve 0 = -3*l - 2*g - 9, l - o*l - 6 = 3*g for l.
-5
Suppose -5*k + 14*k = 0. Solve -4*m - 2*o + 8 = k, 0*o + 2*o = -3*m + 7 for m.
1
Suppose -a + 4*g - 8 = 9*g, 0 = 2*a + 2*g - 16. Let i = a + 3. Solve 0 = 5*t - 2*b - 16, 0*t + i = 3*t - 3*b for t.
2
Suppose g + 5 = 8. Suppose 0 = g*c + 13 - 37. Suppose -c = -5*d + 2. Solve p - d*s = -s + 2, 0 = -p + 4*s + 2 for p.
2
Suppose 3*v + 1 = 5*m - 11, -4*v = 4*m - 16. Solve m*q = -3*s - 21, q + 0*s - s = -3 for q.
-5
Let v = -173 - -184. Solve -4*f + 0*f + v = -z, 3*z = -4*f + 15 for f.
3
Let f = 44 + -41. Let i be 4 - (-3 + f)/(-4). Let s be ((-2)/(-5))/((-1)/(-50)). Solve -p + 18 = i*p - 3*k, -5*k - s = -5*p for p.
3
Let p = 14 - 8. Let s(t) = p + 0*t + 5 - 5 + t. Let w be s(-6). Solve -5*y - g - 21 = 0, 0 = 2*y - 4*g - w + 4 for y.
-4
Let m(z) be the second derivative of -z**4/12 + z**3 - 5*z**2/2 + 45*z. Let u be m(3). Solve -h = 3*o - 8, u*o + 1 = 2*h - 5 for o.
1
Suppose 3*p = 111 + 81. Let b = 89 - p. Solve -3*z + 4*z - 4*q = 5, -5*z = 2*q - b for z.
5
Suppose k - 2*k - b + 1 = 0, 0 = -5*b - 10. Suppose 0 = k*o - 11 - 16. Solve 2*l = -m - m, 2*l + 5*m = -o for l.
3
Let j be (-120)/12*((-10)/4 - -2). Solve -2*y - j*v - 18 = 0, 5*y - 3*v + 7 = 24 for y.
1
Suppose -81*o + 144 = -77*o. Solve -4*k - 5*s + o = -s, -4*k + 5*s = 9 for k.
4
Let n(c) = 3*c - c**3 + 0 + 0 - 7 + 7*c**2. Let g be n(7). Solve -3*a = -4*h + 2*a - 6, 5*h + g = 3*a for h.
-4
Let r = -37 - -3. Suppose -3*d - 5*s = -2*d - 37, 0 = 5*s + 15. Let k = r + d. Solve 5*a - u = 3*u - 17, -4*a + u - k = 0 for a.
-5
Suppose 4*o - 6*o = -20. Suppose -2*n = j - 4, -3*j - 2*n = -o + 2. Suppose 5 = r + j. Solve -r*s - 5 = 5*t + 3, s + 6 = -5*t for s.
-1
Let o = -31 + 33. Suppose -3*n - 1 = -4*r, -o*r - 13 = 2*n - 31. Solve b - 5 = r*f + 12, 5*b = -2*f - 25 for b.
-3
Let x be 7 - ((-16)/(-12))/((-40)/(-150)). Let g = 9 + -5. Solve 0 = -s - 4*s + g*t - 27, 0 = -x*t + 6 for s.
-3
Let f = 564 + -561. Solve f*a + 11 = 5*a + x, -2*a - 2*x = -16 for a.
3
Let b be ((-3)/(-4))/((7/(-4))/(-7)). Let k = 11 + -6. Solve 5*c - 10 = -k*a + 5, -c - 13 = -b*a for a.
4
Let v(i) = i**3 + 8*i**2 - i - 3. Let t be v(-8). Suppose -37*o + 71 = -3. Solve -t*k - 5*h = -o*h + 4, 2*h = 4 for k.
-2
Let b = 1542 + -1540. Solve 2*p = h + b, -p - h + 11 = 4 for p.
3
Let q be 660/300 - (-1)/(-5). Let y = 11 - 7. Suppose 5*u + 3*i = 35, 16 = -u - 0*u + y*i. Solve q = 2*f - 0*t + 3*t, -u*f - 2*t = 4 for f.
-2
Let k(v) = -v**3 + 13*v**2 + v - 10. Let n be k(13). Suppose -n*r = -4*r. Let w = -11 - -16. Solve -w*g + 5 = 2*u, r = -u - g + 5*g - 17 for u.
-5
Let j(m) = 9*m**2 + m - 4. Let u be j(1). Solve -2*x - u = -y - 0, 4*x = 5*y - 12 for y.
0
Let a be 38/6 - 9/(-54)*-2. Solve w - a = 2*g, 0*g - 2*g = 2*w - 6 for g.
-1
Let l(y) = -y**3 - 8 + 4 - y**2 + 0*y**3 - 6*y + 9*y**2. Let d be l(7). Suppose 0 = -d*b + 4 + 2. Solve b*h - 2 = -2*w, 4*w - h = w + 11 for w.
3
Suppose -4*l = l - 15. Solve -l*v + n + 13 = -n, -1 = -n for v.
5
Let h = 27 + -23. Let m be -4*(1 - (h + -2)). Solve m*s - 6 = -3*r, 0 = s - 0*s - 3 for r.
-2
Let n be (-2728)/56 + 2/(-7). Let l = 55 + n. Solve -g + 4*z = 9, z - l = -g - 0*z for g.
3
Let w(i) = i**2 + 10*i - 11. Let c be w(-11). Suppose 4 + c = 2*o. Solve h - o*a = -a - 6, 0 = -3*h + a - 8 for h.
-1
Let o(w) = -w**3 + 9*w**2 - 13*w + 43. Let p be o(8). Solve -p*n = v - 14, 27 = 3*v + 8*n - 4*n for v.
5
Suppose -t + h + 28 = 4*h, 5*t - 5*h = 60. Let a be (-2)/t*-4*-6. Let i be 22/6 + a/(-9). Solve -3*j + 2*s = 19, i*j = 2*s - 6 - 18 for j.
-5
Let w(u) = -5*u + 73. Let l be w(14). Solve -5*c = l*i + 35, -4*i - 5*c = -0*c + 40 for i.
-5
Let o be ((-9)/6)/((-1)/2). Let a = -47 + 66. Let | {
"pile_set_name": "DM Mathematics"
} |
/3
Calculate 156/(-16)*(-48)/36.
13
Evaluate (3*-1)/(((-69)/46)/((-21)/6)).
-7
Calculate (((-28)/10)/((-13)/(975/(-20))))/9.
-7/6
What is 24/5*(-13680)/2052?
-32
Evaluate -23*1428/7038*((-32)/(-42))/2.
-16/9
Evaluate (2/23)/(2/(16/(-8))).
-2/23
Evaluate ((-77)/8085*21)/(2/45).
-9/2
((-39)/195*3)/((-3)/(-10))
-2
What is 14/90*(12/(-66))/(4/(-110))?
7/9
Calculate ((-102)/459)/(14*2*3/(-108)).
2/7
Evaluate (16/(-24))/((6/4)/(21/(-98))).
2/21
(-107)/((-97370)/(-52))*7/(-2)
1/5
Evaluate 76/244*52/494.
2/61
Calculate (32/14)/((-40)/7980*-19).
24
What is (0/8)/(2/(-4)*50/(-25))?
0
What is the value of (16/(-10))/(15*(-1)/(-75))?
-8
What is the value of 50*126/360*((-2)/(-5))/(-1)?
-7
Calculate 2/((1001/13)/11).
2/7
What is ((-90)/27*(-2)/(-30))/((-8)/6)?
1/6
Evaluate ((-7)/(-28)*4)/((-11)/44).
-4
Evaluate (19/(-171)*6)/((-3)/((-9)/6)).
-1/3
What is (-10)/((16/128)/((-39)/(-208)))?
-15
Evaluate ((-65)/455)/((-1)/77).
11
Calculate (16/(-1))/4*(-12)/(-16).
-3
What is ((-188)/48)/47*15/10?
-1/8
What is (140/6)/(616/132)?
5
Evaluate (-11*(-30)/(-605))/((-4)/33).
9/2
Evaluate (66/(-198))/((2/6)/(1/7)).
-1/7
What is -1*3*-3*(285/(-15))/114?
-3/2
Evaluate (5*2/(-40))/(-6*4/96).
1
Evaluate ((-20300)/(-56))/25*-2.
-29
(((-6)/2)/(5*-1))/(104/(-52))
-3/10
Evaluate ((3040/38)/(-40))/2.
-1
Evaluate 3123/2776*((-2)/9)/((-2)/(-12)).
-3/2
Evaluate (1190/(-35))/(-544)*-40.
-5/2
Calculate (-9)/2*992/(-1116).
4
What is ((-139)/(-695))/((-4)/(-420)*-3)?
-7
Calculate 40/72*3*(-1)/(-5).
1/3
What is the value of ((-168)/(-560))/((-1)/(-2))?
3/5
What is 3/(((-10)/25)/((-5)/45*6))?
5
(6/46)/((-3876)/(-5244))
3/17
1*4/(96/(-8))
-1/3
Evaluate ((-435)/(-261))/(10/18).
3
(((-405)/60)/(3/(-2)))/((-54)/72)
-6
Evaluate (3960/(-1650))/(8/50).
-15
What is ((-28)/(-49))/(12/56*6/(-9))?
-4
(6/292)/((-57)/1216*-16)
2/73
(52/2)/((-6)/9*3)
-13
Calculate (((-576)/4144)/(-9))/(14/49).
2/37
Calculate 4788/(-1862)*14/(-6).
6
What is the value of (10104/(-44205))/(2/(-30))?
24/7
Evaluate -16*(-15)/60*-2.
-8
What is ((-18)/60*8)/((-338)/65)?
6/13
(58/116)/(25/(-10))
-1/5
((-348)/3016)/(3/(-8))
4/13
(-13)/(-22)*(-50)/65
-5/11
4752/(-3240)*(-42)/77
4/5
What is (3/203)/((-1614)/(-3766))?
1/29
What is the value of 12/12*3*(-1)/3?
-1
Calculate ((-4)/(-60)*51)/(17/85).
17
What is ((-56)/98)/(138/21)?
-2/23
((-5)/((-1125)/(-60)))/((-2)/6)
4/5
What is the value of (-7)/35*-10*(-2)/(-16)?
1/4
Calculate -6*((-70)/(-21))/((-16)/(-12)).
-15
What is (2*3/(-63))/(((-260)/15)/(-26))?
-1/7
Calculate 15*(162/45)/(-9).
-6
(-72)/(-8)*560/(-315)
-16
Calculate (-48)/(-18)*8/16*(-9)/33.
-4/11
Calculate 425/68*(-2)/5*(-420)/75.
14
What is the value of (124/(-3720))/((-12)/(-15))?
-1/24
Calculate ((-5865)/(-204))/(-115)*-31*4.
31
Calculate (16/14)/((-286)/3003).
-12
-14*2/14*7*15/10
-21
Calculate 1*((-144)/4)/9.
-4
What is 14/(-1)*(3600/(-60))/480?
7/4
Calculate ((-28)/(-12))/7*-5.
-5/3
What is the value of (6/1)/(32/4)*(-672)/(-36)?
14
Calculate (6/(-9)*(-11)/(154/(-273)))/1.
-13
384/(-24)*((-55)/10)/(-11)
-8
Calculate ((-44)/(-72))/((91/637)/(6/7)).
11/3
What is ((-1785)/(-140))/51*(-9)/(-102)*-32?
-12/17
Evaluate 68*24/(-192)*2.
-17
What is the value of (((-12)/(-20))/(2/5))/((-1)/18)?
-27
1/(-14*(-4)/(-840))
-15
Evaluate ((-4)/(-560)*16)/(16/80).
4/7
What is 9/(-2)*((-14)/24)/((-882)/252)?
-3/4
Calculate 15/150*5*-1*4.
-2
What is the value of (-6)/(-9)*3*(-1235)/2223?
-10/9
Evaluate (-2)/2*8/((-11)/11).
8
What is (3/((-9)/7))/(1407/(-4824))?
8
Evaluate ((-16)/(-16))/((-12)/(-48)).
4
Calculate 535/(-1284)*7/((-630)/(-81)).
-3/8
Evaluate ((-18)/594*6)/((-2)/(-2))*1.
-2/11
What is the value of 89/(-445)*3*-1*70/(-147)?
-2/7
((1472/24)/(-23))/(22/9)
-12/11
(2/(-4))/(45/(-36))
2/5
(-36)/(-324)*(2/14)/(4/12)
1/21
What is the value of (294/420*64/(-7))/(10/25)?
-16
-3*(-2)/33*132*(-13)/(-1092)
2/7
What is (-30)/80*(-60)/9?
5/2
(-2)/((-28)/(-2))*(-19)/((-2185)/161)
-1/5
What is the value of (31/(-155))/(2/(-4))*2/18?
2/45
What is the value of ((-15)/(-18))/5*32/(-112)*77?
-11/3
Calculate 1/(-1)*1/1*1435/287.
-5
Evaluate 26/56*(-1584)/(-1144)*2/(-1).
-9/7
-8*(-14)/(-448)*(-2)/1
1/2
What is the value of (6/40)/(60*9/(-288))?
-2/25
What is (-18)/(28/504*-27)?
12
Calculate (-1*7*2)/((-1442)/(-721)).
-7
What is ((54/(-675))/(3/(-60)))/((-2)/5)?
-4
(22/8)/((-4433)/(-806))*40/(-26)
-10/13
Calculate (-370)/(-74)*(-2)/(-6).
5/3
What is the value of (24/(-21))/(((-783)/(-189))/29)?
-8
Calculate 5*(-1)/(4/12*-3).
5
(436/(-12099))/(8/(-12))
2/37
What is the value of (-56)/819*(-6)/(-8)?
-2/39
((-518)/24605)/(5/(125/20))
-1/38
((468/8)/13)/(36/3*1)
3/8
Calculate 2*-2*6*507/(-936).
13
What is the value of (632/1185)/((-8)/(-12))?
4/5
What is the value of (9/12)/(8/32)?
3
What is the value of 216/(-80)*(-8)/((-576)/60)?
-9/4
Evaluate (-5)/15*10*(-306)/85.
12
What is (-9)/(-9)*2/((-1)/(4/4))?
-2
3*(268/(-168))/67
-1/14
What is ((-15)/60)/(8/(-256))?
8
Calculate ((99/(-22))/((-1)/(-2)))/((-399)/38).
6/7
-1*(-18)/(-24)*(-36)/(-702)
-1/26
(9/6)/(9/(-60)*(-5225)/55)
2/19
Calculate (288/208)/((-48)/(-312)).
9
(7/63)/((-3)/153)*(-42)/(-14)
-17
Calculate (136/306)/((20/24)/(-5)).
-8/3
Calculate 56/196*(-70)/(-60).
1/3
Calculate (339/(-113))/((-60)/(-8)).
-2/5
What is the value of (-32)/(-12)*((-2)/(-8))/(10/(-60))?
-4
What is 1/3*32/(-2784)*-29?
1/9
Evaluate (-288)/(-48)*((-21)/(-36))/((-4)/(-16)).
14
Evaluate 4/14*224/6*2196/732.
32
Calculate ((-48)/40*2)/(19/((-3420)/16)).
27
What is ((-2)/(-2))/(((-615)/30)/41)?
-2
37/((-296)/80)*(-1)/(-1)
-10
What is the value of (-30)/45*-1*84/(-4)?
-14
Evaluate ((-95)/(-38))/(2/(-4)).
-5
What is the value of -7*5/((-105)/18)*(-45)/90?
-3
Calculate (-2)/(-1)*(-140)/(-2352)*-12.
-10/7
5/(-40)*-18*-4*-1*-3
-27
(0/((-80)/8))/((9/3)/(-3))
0
What is the value of 2*-1*(-2)/(-4)*-11*-1?
-11
What is the value of (((-51)/12)/17)/(208/(-64))?
1/13
What is 1*(-8)/6*(-21)/70?
2/5
Evaluate (1/(-20))/(183/488).
-2/15
What is the value of (((-8)/4)/(32/10))/(6/(-12))?
5/4
14*(-6)/(-9)*(-20)/((-1600)/180)
21
Evaluate (-6)/((-90)/(-15))*9/(-3).
3
What is (-1)/(-4)*(-208)/2236?
-1/43
What is ((-66)/(-14))/33*-3*2/(-9)?
2/21
Evaluate ((1408/24)/(-88))/(3/((-9)/(-20))).
-1/10
Evaluate (-3)/(-3)*(-171)/855.
-1/5
Calculate (-6*10/4)/((-22)/22).
15
What is (-366)/732*(-132)/(-8)?
-33/4
Evaluate 75/(-15)*(-2)/(-8)*(-8)/(-20).
-1/2
Calculate (-2)/(((-2)/(-60))/(23/92)).
-15
2/(-6)*(-13)/(2002/132)
2/7
What is ((-1)/(-1)*1)/(((-2286)/(-144))/127)?
8
((-9)/(252/40))/(32/(-336))
15
((-180)/27)/10*((-54)/4)/(-9)
-1
What is (8/10)/(11*28/770)?
2
Evaluate 18/(-76)*((-14)/(-21))/((-39)/26).
2/19
Calculate (12/6)/(2/(36/(-18))).
-2
What is the value of 6/(-5)*30/3?
-12
Evaluate (15/52)/(((-680)/(-16))/17).
3/26
What is ((-42)/(-7))/((-7)/((-455)/78))?
5
((-885)/20060)/(3/12)
-3/17
Evaluate (5*(-3)/(-30)*-17)/((-14)/28).
17
Evaluate 1270/(-254)*(-12)/5.
12
What is the value of (-15)/(-60)*(-8)/(-2)?
1
Calculate (-4*10/510)/(4*(-1)/6).
2/17
(6/10)/((-13)/(-65))*(-2)/(-2)
3
((-18)/(30/10))/(((-9)/(-6))/(-1))
4
What is the value of (3/9*1)/((-485)/16005)?
-11
What is the value of 8/50*2/9*1425/190?
4/15
Evaluate 3*(-9)/81*6.
-2
Calculate (3/(-7))/((-55)/(78540/36)).
17
Calculate (2/6)/((-1603)/4809).
-1
((2*-4)/(9/3))/((-1400)/900)
12/7
560/100*(-210)/(-49)
24
What is ((-75)/18)/5*-4*(-36)/(-96)?
5/4
What is the value of 10*(1*-3)/(4/(112/70))?
-12
What is the value of 1024/(-96)*6/(-48)*9?
12
Evaluate 12/(-9)*-12*24/(-320).
-6/5
(1/5)/((-10)/(-4)*14/14)
2/25
Calculate ((60/8)/(-5))/(199/398).
-3
Evaluate ((-2340)/(-1950))/(4/30).
9
Evaluate (6/60*-14)/(110/1650).
-21
Evaluate (-26)/((-4)/(6/(-9)*3)).
-13
(((-56)/(-91))/8)/((-20)/(-26))
1/10
Calculate (15059/(-5476))/(1/12).
-33
((-20)/(-145))/(26/377)*(-2)/26
-2/13
Calculate (-310)/10044*(-84)/(-105).
-2/81
Calculate (-44)/33*(-15)/(-20).
-1
1*71/71*3/5
3/5
What is the value of (-30)/(-10)*(12/10)/((-8)/4)?
-9/5
104/(-10140)*39*230/(-4)
23
What is the value of (-15)/(-12)*(-536)/(-13065)?
2/39
-2*(4/(-2))/((-6)/(-27))
18
What is 18/4*17/765*50?
5
What is -3*3/27*6*21/(-42)?
1
What is the value of ((-3)/8)/((6*(-12)/1728)/1)?
9
Evaluate -4*(-16)/((-320)/(-15)).
3
Evaluate (2/((-78)/9))/(792/528).
-2/13
Calculate ((-44)/3850*-14)/(6/5).
2/15
What is the value of 3/((-150)/4)*1740/87*5?
-8
| {
"pile_set_name": "DM Mathematics"
} |
2*k = 2*w - 4 for k.
3
Solve 12 = -r - 4*c - 11, -3*r - 19 = 2*c for r.
-3
Solve -3*p - 9 = -5*h, p + 3*p = -3*h - 12 for h.
0
Solve -4*j = -h + 9, -76*h + 75*h - 7 = 4*j for j.
-2
Solve -5*g = -4*z - 5 + 10, z - g = 0 for z.
-5
Solve -3*o = -2*g + 11, -6*g + 2*o + 2 = -2*g for g.
-2
Solve 0 = 4*f + 2*l + 45 - 57, -22 = -2*f + 3*l for f.
5
Solve 3*y = 0, -14*f - 2*y = -9*f + 25 for f.
-5
Solve 0 = 2*p - 4*f + f - 13, 5*f + 28 = -3*p for p.
-1
Solve 2*i = -y + 5*y - 10, 1 = i + 4*y for i.
-3
Solve 4*q + 7 = -r, -8 = -2*r + 3*q - 0*q for r.
1
Solve -4*p = 5*z - 6 + 1, 0 = p for z.
1
Solve -4*r = 2*y - 10, 3*y - 9 = 40*r - 44*r for y.
-1
Solve 0 = -4*r - 4, 5*u - 2*r = 7*u - 2 for u.
2
Solve -5*z + 20 = 0, -5*y + 2*z - 41 = -2*z for y.
-5
Solve 7*k - 3*k = 3*n + 19, 0 = n + 5*k for n.
-5
Solve -q + 5*c = -9, c = 4*q - 7*q - 5 for q.
-1
Solve 0 = -5*k - 5*p - 15, k + 0*k - 17 = 4*p for k.
1
Solve 5*n - 34 = 3*y, 5*n - 13 = 12 for y.
-3
Solve -5*r + 4*x = 0, -5*r + 4*x = -3*r + 12 for r.
4
Solve 4*u - 2*d - 7 = -5, -3*d = 2*u - 21 for u.
3
Solve 0*f = -2*f, 0 = -3*h - 2*h + 2*f for h.
0
Solve -4*k + 2*v - 14 = -10, -4*v = -3*k - 3 for k.
-1
Solve -x - 7 = 2*o, -5 = -3*x + 3*o + 1 for x.
-1
Solve 17 = 3*i - p, 23 = 2*i - 4*p + p for i.
4
Solve -n + 4*i = 5, 2*i = -n - 0*i + 7 for n.
3
Solve -2*z - 25 = -5*q, 4*z - 2 = 2*z - 4*q for z.
-5
Solve -5*v + 2*o + 16 = -7, -3*v + 16 = o for v.
5
Solve x + 4 = 3*x + 5*s, 3*s = 5*x - 10 for x.
2
Solve r + 7 = w - 2*w, 0 = r + 4*w + 19 for r.
-3
Solve 0 = 5*y + 5*g + 10, 3*y + 14*g = 13*g - 8 for y.
-3
Solve -17*c + 21*c - 1 = a, 3*a - 4 = 5*c for a.
3
Solve 4*b = 54*y - 53*y + 19, 3*y - 5*b + 22 = 0 for y.
1
Solve -5*z = 9*n - 4*n - 35, -n = -3 for z.
4
Solve -3*u + 4*u = 3*z - 6, -5*z - 3*u - 4 = 0 for z.
1
Solve -k + 16 = -5*o, o - 3*o = 3*k + 3 for o.
-3
Solve -4*y = -3*x + 3, x + 3 - 2 = 2*y for y.
3
Solve -2*a - 5 + 16 = -v, a + 3*v + 5 = 0 for a.
4
Solve u - 4 = p + 1, -5*p - 24 = -4*u for u.
1
Solve 0 = -2*d - 2*d - 20, -5*o - 2*d = 0 for o.
2
Solve u - 4*u + 4 = -j, 0 = u + 2*j - 13 for u.
3
Solve 0*b = 4*f - 4*b + 24, -3*b = f + 2 for f.
-5
Solve -b + c + 5 = 2, 3*c + 9 = b for b.
0
Solve 5*m + 59*v = 64*v - 35, 0 = 4*v - 8 for m.
-5
Solve -f = 4*f + 5*j, -4*f = 5*j + 5 for f.
5
Solve -8 = -2*r - 2*b, r + 29 = -5*b + 45 for r.
1
Solve -5*a = -3*c + 6, -14*c + 12*c = -5*a - 4 for a.
0
Solve -3*s + 12 = -g, 4*s + 14*g = 12*g + 26 for s.
5
Solve 5*p - 10 = h - 20, -4*h + 17 = 3*p for p.
-1
Solve -9 = -2*u + 5*n - 1, 2*n = 0 for u.
4
Solve -5*f - 5*h + 20 = 0, -3*h - 3 - 1 = -f for f.
4
Solve -7*s = -4*p - 6*s + 17, 0 = -3*p - 5*s + 30 for p.
5
Solve 1 = -c - 2*v, c = -4*v - 0 + 1 for c.
-3
Solve -q + 4*o = -10, 4*q + 2*o + o = 2 for q.
2
Solve 4*n = -5*a + 20, 4*n + 5 = -a + 5*n for a.
0
Solve 2*m = -2*f - 10, m + 14 - 9 = -5*f for m.
-5
Solve 2*f + 2 = 0, 48*f = -t + 44*f - 6 for t.
-2
Solve -6*u - 4*c - 44 = -3*u, -2*c = -7*u - 46 for u.
-8
Solve -3*w = -2*a - 0*a + 13, 5*a - 19 = 3*w for w.
-3
Solve 6 = 2*q, q - 2 - 1 = -2*i for i.
0
Solve 3*b + 1 = 4*r - 0, b - 5 = 4*r for r.
-2
Solve 2*c - 16 = 4*q, -19 = -4*c + 4*q - 7 for c.
-2
Solve -2 + 1 = -3*x - 4*q, -2*x = -4*q + 6 for x.
-1
Solve 0 = 4*b + l + 5, 5*l + 0 = -5 for b.
-1
Solve 3*y = 4*w - 8 - 20, 2*w - 5*y = 28 for w.
4
Solve -4*t + 3*t - 1 = 0, 4*t + 14 = 2*j for j.
5
Solve 16 = -x - 3*b, 2*b + 6 = 5*x + 1 for x.
-1
Solve i = -5*s + 6 - 3, -2*s - 2*i = -6 for s.
0
Solve -3*j = 5*d - 25 + 43, -4*d + 3*j = 9 for d.
-3
Solve -5*s - j - 13 = 0, s = -3*s + 2*j - 16 for s.
-3
Solve 4*t + 8 = -3*i + 27, -t - 5*i + 26 = 0 for t.
1
Solve -2*k - 4*t - 6 = 0, 4*k + 4*t + 16 = -0 for k.
-5
Solve 5*z = -2*r + 7, -z = r - 2 - 0 for r.
1
Solve n + 2 = 2*r - 3, 0 = 3*n - 15 for r.
5
Solve 5*j = 5*n, -5*j + 2*n = -0*n - 3 for j.
1
Solve -n - m = -5, 2*m = m for n.
5
Solve t - 2*d + 6 = 0, -22*t + 5*d = -20*t + 14 for t.
-2
Solve 0 = 2*w + u, -4*w - 6 = -5*w + u for w.
2
Solve -4*q - 2*f = -0*f - 6, 4*q = 3*f + 11 for q.
2
Solve 5*s + u + 16 - 4 = 0, 2*u + 8 = -2*s for s.
-2
Solve 0 = -l - 2*l - 4*w - 29, -3*l = 2*w + 19 for l.
-3
Solve 0 = 4*i - 4*m + 12, 30*i - 2*m = 32*i + 14 for i.
-5
Solve 3*m = 5*q + 7, 2*m - 12 = 10*q - 14*q for q.
1
Solve -y - 3*y - 18 = q, -y + q = 2 for y.
-4
Solve -16 = 4*f, -f + 16 = 5*x - 0*f for x.
4
Solve -5*b - 5*o = -8*o - 22, 16 = 2*b - 3*o for b.
2
Solve 0 = 5*v - 2*i + 3, 2*v - 31 = -4*i - 13 for v.
1
Solve -29 = -4*z - 5*w, -12*z + 3*w - 20 = -17*z for z.
1
Solve 4*h + 8 = -4*i, 4*h - 20 = 11*i - 8*i for h.
2
Solve 3*l - 3*r = -r - 7, 4*l - 3*r = -9 for l.
-3
Solve 2*d = -3*k - 17, -3*d - 6 = 6*k - 8*k for k.
-3
Solve 13 = -3*q - 5*o, 3*o = q - o - 7 for q.
-1
Solve 4*k + 3*x = 6*x + 24, -1 = -3*k - 2*x for k.
3
Solve -2*t + 7 = -7*t + p, -5*p + 10 = 0 for t.
-1
Solve 0 = 3*j + 2*i + 20, 3*j + 4*i = -18 - 10 for j.
-4
Solve -2*s + 10 = -4*k, k = -5*s + s + 2 for s.
1
Solve -5*y + 9*y - 30 = -2*g, -4*g - 3 = -y for g.
1
Solve 4*d + 2*o = -d + 1, 0 = -4*d + o + 6 for d.
1
Solve j = 2, 10*j = -5*g + 8*j + 29 for g.
5
Solve -4*t = 4*w + 8, 8*t + 4*w = 5*t - 8 for t.
0
Solve -3*t + 9 = -3*f, 0 = -5*t + 4*f - 3 + 14 for t.
-1
Solve -18 = -c + 4*v, 4*v + 13 + 3 = 0 for c.
2
Solve 4*v = -5*z + 3*v + 13, -z + 2*v - 4 = 0 for z.
2
Solve -3*c - 38 = -5*f - 36, -3*f - 18 = 3*c for f.
-2
Solve 5*k + 2*m = -m + 4, -2*k + 5*m = 17 for k.
-1
Solve 0 = 3*x - 6, -6*m - 2*x = -4*m - 2 for m.
-1
Solve -h + 3*h + v - 2 = 0, -2*h + 3*v = -10 for h.
2
Solve -12*d = -15*d + 6, -4*t + 30 = 5*d for t.
5
Solve 4*k - 4*b = 32, 3*b - 6 = -3*k - 0 for k.
5
Solve m - 5 = 3*j, 0 = 2*j - 22*m + 19*m + 8 for j.
-1
Solve -3 = 3*o, x + o + 205 - 204 = 0 for x.
0
Solve 4*t = -4*q + 2*t + 24, 5*q = -4*t + 36 for q.
4
Solve 3*o + 4 = t - 7, -3*o = 2*t - 4 for o.
-2
Solve 2*r + 2*s = -10, r = -r - 5*s - 19 for r.
-2
Solve -4*m - 4*v = 20, 3*m - 6 = -2*v - 17 for m.
-1
Solve -4*f = -8, 2*v - 5*f - 56 = -58 for v.
4
Solve -5*w + w + 3*u = -4, 8 = -2*u for w.
-2
Solve -k = -v - 2, -66*v - 4 = -70*v + k for v.
2
Solve 2*v = 8, -6*k - 2*v = -8*k - 8 for k.
0
Solve 5*u = u, 0 = 3*k - u - 9 for k.
3
Solve -2*u + 4*u - 21 = -5*g, 4*u = 5*g - 33 for g.
5
Solve 0 = 4*h - 2*r - 20, 35*h + r = 39*h - 16 for h.
3
Solve -18 = 5*b + 3*l, -10*b + 5*l - 1 = -8*b for b.
-3
Solve -17*y - 15 = -15*y - 5*a, -y - 3*a + 20 = 0 for y.
5
Solve -5*p = 5*v + 5, 0 = -3*v + p - 3*p for v.
2
Solve 0 = -5*b - l + 3, 169*b - 173*b = 2*l for b.
1
Solve 0 = 4*t + 4*z - 8, -3*t = -3*z - 0*z + 6 for t.
0
Solve 0 = -4*y - 3*j + 4, 5*y - 5*j = 3*y + 28 for y.
4
Solve -3*y + y + 3 = 3*a, -3*y = a - 1 for a.
1
Solve -6 = 10*f - 7*f, 2*u - 2*f + 2 = 0 for u.
-3
Solve -p = -o - 21 + 14, -5*p + o = -35 for p.
7
Solve -3*r + 3*o + 15 = 0, -4*r + 21 = -28*o + 23*o for r.
4
Solve q - 5*s - 23 = 0, -4*q - 35*s + 37*s + 2 = 0 for q.
-2
Solve 0 = x - 5*d - 5, -1 = 2*x + d - 0 for x.
0
Solve 2*l + 5*g = 12, 0 = -5*l + 3*g - 30 - 2 for l.
-4
Solve 5*w + 3*f + 20 = 0, -3*f - 16 = 3*w - 4 for w.
-4
Solve -x - 3*r + 13 = -0*r, -6 = -2*x - r for x.
1
Solve 2*f + 4*m = 4 + 6, -16 = -5*f - m for f.
3
Solve 0 = -4*w + 2*r + 14 - 4, -5*w + 5*r = -20 for w.
1
Solve -2*g - r - 5 = -6*g, 0 = 4*g - 2*r - 10 for g.
0
Solve -d - 2 = 5*r - 12, 4*d = 0 for r.
2
Solve 5*b + 4 = -2*l, 8*b + 4 = -2*l + 4*b for l.
-2
Solve 2*r + 16 = -4*f, -3*f = -2*r + 2*f + 29 for r.
2
Solve -3*w - 3*d - 11 = -w, d + 21 = -5*w for w.
-4
Solve 2*x - l = 13, 4*l + 1 + 23 = x for x.
4
Solve 4*t - 5*o = -14, 10*t - o = 5*t - 7 for t.
-1
Solve -10*h + 8*h + 1 = -3*s, 0 = -5*s - 3*h + 30 for s.
3
Solve -t = 5*n + 7, -3*t - 7*n + 10*n = 3 for t.
-2
Solve -4*p + 13 = 5*a, 22 = 5*a + 3*p - 2*p for a.
5
Solve -2*v - z - 2 = 3*v, 0 = 2*v + 4*z + 8 for v.
0
Solve 5*u = -5, 0 = -4*d - 5*u - 20 - 1 for d.
-4
Solve -y - 2*h - 6 = -4*y, -4*y = -h - 3 for y.
0
Solve -6*u = -3*u - i + 4, -18 = 4*u + 5*i for u.
-2
Solve 6*i + 4*l + 16 = 0, -22*i + 5*l = -20*i - 20 for i.
0
Solve t + 33*c = 29*c - 6, 14 = 4*t - 3*c for t.
2
Solve 0 = -3*j - r + 5, -12*r + 7*r = 5 for j.
2
Solve q = 5*q, -5*q = 3*c - 12 for c.
4
Solve -3*l - 3*h = 4 - 1, 5*h + 45 = 5*l for l.
4
Solve 5*c - 3*c + 5*w + 19 = 0, -5*c + 4*w = -2 for c.
-2
Solve -3*n + l = 20, 4*n + 5*l = 7 - 2 for | {
"pile_set_name": "DM Mathematics"
} |
66) + -6.
9800
Let q = 445/6 - 480149/6474. Let n = q - -20494/7553. What is the common denominator of 17/49 and n?
49
Let j(c) = -15*c + 170. Let r be j(11). Let n(l) = -3*l**3 + 16*l**2 + 5*l - 10. Calculate the lowest common multiple of n(r) and 30.
120
Suppose 2*m - 28 = 32. Let i(r) = -r + 7. Let a be i(-4). Calculate the smallest common multiple of m and 36*(a/14 - (-10)/(-35)).
90
Let k = 68 - 66. Suppose 4*j - n = -0*n + 108, 0 = k*n. Calculate the lowest common multiple of 60/j + -2 - (-16)/9 and 32.
32
Let r(v) = 2*v**2 - 26*v + 1860. What is the lowest common multiple of 204 and r(0)?
31620
Let u = -63821 + 50992987/799. Find the common denominator of u and -25/141.
2397
Let r be (-24)/(-20)*10/(-3). Let f be 0*(-4)/16*r. Let i(c) = 2*c + 3. Calculate the least common multiple of 6 and i(f).
6
Let j = 43217 - 20830617/482. Let u = -26323/24276 + 2/2023. Calculate the common denominator of u and j.
2892
Let g(v) = v**3 + 74*v**2 + 63*v + 710. What is the lowest common multiple of 1680 and g(-73)?
10080
What is the common denominator of 5/13 and (-4)/20 + (-6831)/(-23355)?
2249
Let a = -141/16 + -17/16. What is the common denominator of a and ((-12)/(-376))/(9/(-105))?
376
Let f = -7685781949/5816164192 + -31425/212083. Let v = f + 3/3428. Find the common denominator of 27/88 and v.
352
Let y be (-2)/(21 + -25 + (-14)/(-3)). What is the common denominator of (3/27)/(-6*y/(-3051)) and 73/36?
36
Let v = 14680 - 851477/58. Let d = -1727/116 - v. What is the common denominator of -69/8 and d?
8
Suppose -26*r + 12*r + 7*r = -14994. Calculate the lowest common multiple of 1904 and r.
17136
Let o(c) = -c**3 + 26*c**2 - 48*c + 29. Let b be o(24). Suppose b*x - 33*x = -180. What is the lowest common multiple of x and 100?
900
Let y(x) = -x**3 - 57*x**2 + 251*x + 433. Suppose -p + u + 15 = -3*u, 3*u + 9 = 0. What is the smallest common multiple of p and y(-61)?
6
What is the common denominator of ((49/42)/7)/(80/(-2192)) and 23/232?
3480
Let p be (-3)/7 - (-1272)/(-168). What is the common denominator of (-1)/(-3)*p/(288/(-798)) and 107/6?
18
Let t = 7897 + -55255/7. What is the common denominator of 11/2503 and t?
17521
Let v = 1026/13 - 3338/39. Let g = -16159/9 - -1790. Let s = g - v. Calculate the common denominator of 2/7 and s.
63
Suppose -91*i = -88*i + 4*o - 2132, i - 724 = -3*o. What is the least common multiple of i and 216?
37800
Let y = -5193975 + 114290369/22. Let d = 1042 - y. Calculate the common denominator of d and (-2 - (-132)/(-21))/4.
154
Let s(a) = 70*a**3 + 11*a - 21. What is the lowest common multiple of 561 and s(2)?
561
Suppose 5*w = -1 + 11. Suppose -10 = -m - 5*n + 4*n, 2*n = w*m - 12. Calculate the least common multiple of m and (392/(-28) - (-148)/6)*3/2.
16
Find the common denominator of -11 + 10 + (88/(-6100))/(24/(-1770)) and 49/671.
6710
Let r(l) = -8*l - 10. Let k be r(10). Calculate the common denominator of -74/51 and (50/14 - 3)*(-231)/k.
255
Let x(z) = -11*z - 3. Let j be x(-1). Let y = 9 - j. Find the common denominator of -1*((-202)/(-8) - y) and -67/35.
140
Let p(g) = g**3 - 7*g**2 + 2*g - 1. Let d be p(7). Let l = 71 + -66. Suppose 3*j - l = 3*s + d, -j = 2*s + 6. Calculate the smallest common multiple of 1 and j.
2
Suppose 0 = 54*a - 59*a - 390. Let p = -42 - a. Calculate the least common multiple of p and 20.
180
Suppose n - 3*n - 4*u - 14 = 0, -9 = 3*u. Calculate the lowest common multiple of 2 and (-5)/n - -49*1.
54
Let l = 46 - 43. Let p = 539 + -497. What is the smallest common multiple of p and l?
42
Let q = -61763/30 - -2059. Calculate the common denominator of ((-290)/(-36))/((-6)/9) and q.
60
Let y = -47233/24 + 5930/3. What is the common denominator of y and (-9)/(-114)*(-100)/(-21)?
1064
Suppose -u + 33 = 4*n, -3*n + 6 = 3*u - 12. Suppose 1196*h = 1236*h - 1480. What is the smallest common multiple of h and n?
333
Let w = 1086913/281484 + -2/7819. What is the common denominator of 290/12*2/(-12) and w?
36
Suppose -78*x = -61*x - 2788. Let g = x - 150. Calculate the lowest common multiple of g and 18.
126
Let t be -41*(1 - 0) + 4. Let s = -29 - t. Suppose -6*g + s + 40 = 0. What is the smallest common multiple of 4 and g?
8
Let p = -688 + 1294. What is the common denominator of 0 + (-1)/(12/226) and (-2)/(-720)*p - 1/(-1)?
60
Let v = -47245/24 + 4471/2. Let p = -267 + v. What is the common denominator of 37/48 and p?
48
Let a(q) = 296 + 172*q - 288*q + 175*q. Calculate the smallest common multiple of a(-5) and 19.
19
Let s = -4456 - -9817. Let y be s/(-21) - (-10)/35. Calculate the smallest common multiple of 44 and ((-8)/(-3))/((-17)/y).
440
Suppose -b + 5*u - 15 = 0, -2*u - 184 + 58 = 4*b. Let r = 86 + b. What is the lowest common multiple of r and 4?
56
Let c be (3 - -3) + (-651497)/(-176). Let l = -3711 + c. Calculate the common denominator of (-62)/(-5) - (-4)/(-2) and l.
80
What is the common denominator of -131/864 and (-210 - -91)*1/(-108)?
864
Suppose 59 = -7*o + 129. Let a = 50 - -5. Calculate the smallest common multiple of a and o.
110
Let c be (7/(-14))/(1 - (-147)/(-144)). What is the least common multiple of c/((-24)/(-6)) + 6 and 44?
132
Let y = -74 - -176. Let z = 18080 + -18078. Calculate the smallest common multiple of y and z.
102
Calculate the common denominator of (295/3 + -21 + 14)*(-6)/(-720) and -145/432.
2160
Let f(g) = -11*g**2 - 2*g - 27. Let s(y) = 9*y**2 + 3*y + 26. Let l(t) = -5*f(t) - 6*s(t). What is the least common multiple of l(11) and 18?
36
Let d(b) = -b + 2. Let z be d(8). Let s be 4/14 - z/(-21). Calculate the smallest common multiple of 8 and 2 - (2 - s - 6).
24
Let w = 1265901 + -2106459349/1664. Calculate the common denominator of -95/6 and w.
4992
Let d be ((-19133)/100)/(52/3445). Let s = 12676 + d. Find the common denominator of s and 5/56.
560
Let s = 313/221 - -1044741/884. Let p = 1198 - s. What is the common denominator of p and 7/22?
44
Let d be -1*(5/20 - 345/4). Suppose 30*u = d + 4. Calculate the lowest common multiple of 2 and u.
6
Let p be (-3)/(-1) - (0 + 3). Suppose 4*r - 2*r + 76 = p. What is the common denominator of r and (-385)/1386*462/(-20)?
12
Let a be 24/(-56) - (-25)/(-7). Calculate the least common multiple of (0 - -1) + 12 + 1 and (-46)/(-115)*a*(-9 - 1).
112
Let i(b) = -328*b**3 + 146*b**3 - 4 - 1 - 2*b**2 + 6*b. Let x be i(3). Let z = -78675/16 - x. Calculate the common denominator of 83/14 and z.
112
Suppose 6*s = 3*s + 846. Let i be (-40)/(-220) + s/22. Suppose 34 = i*j + 4*j. Calculate the least common multiple of 11 and j.
22
Find the common denominator of -69/665 and (0 - (-3)/(-57))/(32 + 5221/(-138)).
665
Suppose 2*p + 3*p = 40. Suppose -9*m + 45 + 9 = 0. Suppose -1 = c - 0*c + 4*y, -5*y = c + m. What is the smallest common multiple of p and c?
152
Suppose 12*o - 29*o = -203422. Let h = 1579525/132 - o. What is the common denominator of 83/66 and h?
132
Suppose 5*c = -n + 23, -5*n - 1 = c - 5*c. Let h = 97 + -59. Suppose 3*p - 4*z = h, 2*p - p + 9 = -n*z. Calculate the smallest common multiple of p and 2.
6
Let p = -288 - -278. Find the common denominator of 53/50 and 16/256*(-276)/p.
200
Let o(i) = -i**3 - 7*i**2 - i + 8. Let k = -444 + 568. Suppose 11*c + k = 5*t + 13*c, 32 = t + 4*c. What is the smallest common multiple of t and o(-7)?
120
Find the common denominator of (-1)/(-9)*-2 - (-97060)/485208 and -21/2.
586
Let w = -51730037/16 - -3234185. Let z = -1055 + w. What is the common denominator of 618/(-440) + (-108)/198 and z?
80
Let d = 9688 - 465011/48. Find the common denominator of d and -125/216.
432
Let b(z) = -z**3 - 5*z**2 - 4*z + 4. Suppose -60*o - 401 = 172*o + 80*o - 2585. What is the lowest common multiple of o and b(-4)?
28
Let h = -58692 - -15259967/260. What is the common denominator of h and -33/40?
520
Let a(b) = b**2 + 3*b - 6. Let n be -7 - (-3)/((-9)/(-6)). Calculate the least common multiple of (-10)/(-6) + 1067/3201 and a(n).
4
Let r(c) be the first derivative of c**3/3 - 3*c**2/2 + 4*c - 11. Let l be r(4). Suppose -l = -0*t - 2*t. What is the lowest common multiple of t and 20?
20
Suppose r + 6 = 2*w - 0, 4*w = r + 10. Suppose -3*p = 3*i - 12, w*p + 4 = -0*p + i. Suppose 8*z - 41 - 7 = p. Calculate the lowest common multiple of z and 254.
762
Suppose 2*l - 85 = 47. Suppose 9*q - l = | {
"pile_set_name": "DM Mathematics"
} |
0.124 + -0.024. Which is the biggest value? (a) -1/2 (b) 1/8 (c) u (d) -1/4
b
Let t = -14 - -14. Which is the third biggest value? (a) t (b) -0.3 (c) -5
c
Let p = -866/5 - -174. Suppose -g + d - 1604 = 3*g, 3*g + 1198 = 2*d. Let m = 7636/19 + g. What is the third biggest value in m, p, -1/3?
-1/3
Suppose 2*s = 4*s + 6. Let d = -4 - s. What is the third smallest value in 1, d, -3?
1
Let v be (-24)/54*3/6. Which is the biggest value? (a) v (b) 3 (c) 1
b
Let t = -10 - -10. Suppose 11 = -n - 2*y, -4*n + 4*y - y = t. Let m = -3 + 2.7. Which is the third biggest value? (a) -5 (b) n (c) m
a
Let c = -29/112 + 11/16. What is the second smallest value in c, -0.4, 1/7, 0.4?
1/7
Let t = 3 - -19. Let d be 1*(-1 + 6054/t). Let g = d - 274. What is the smallest value in 0.2, g, 3?
g
Let k = -0.22 + 0.15. Let y = k - -0.57. Which is the biggest value? (a) -2/13 (b) y (c) 1/5
b
Let l = 13.8 + -15. Let j = l - -1.6. Which is the third biggest value? (a) j (b) 0 (c) -1
c
Let k = 0.1 - -0.1. Let a = k - 0.1. Let r = -2/11 - 25/44. What is the second biggest value in a, -0.3, r?
-0.3
Let d = -1/125 + -241/1125. Which is the smallest value? (a) d (b) -0.4 (c) -1/8
b
Let b(j) = -4*j + 1. Let z be b(-1). Let q(m) = 5*m**2 + 4*m - 2*m**2 - 4*m**2. Let y be q(z). What is the third smallest value in y, -3, 0.1?
0.1
Let r = -16 - -22. Let v = -5 + r. Which is the smallest value? (a) -5 (b) -4 (c) v
a
Let f = -94 + 92. What is the second biggest value in f, 1/4, -1/2?
-1/2
Let f = -0.08 + -0.12. What is the third biggest value in -5, f, -2?
-5
Let k be 1/21*3/(-1). Which is the biggest value? (a) k (b) -5 (c) 5 (d) -3
c
Suppose -3 + 1 = 2*w. Let o be (-1*(-4 - w))/1. Suppose -2*c - 2 + 32 = -4*h, 2*c - 25 = 3*h. What is the third smallest value in 1, o, c?
c
Let m be (-24)/(-15)*2/4. What is the second biggest value in -1, 2, m?
m
Suppose 4*s - 2*t = -170, 2*s + 75 = 2*t + t. Let i be -136*(2 + 7/(-3)). Let r = s + i. Which is the smallest value? (a) -4 (b) r (c) -3
a
Let l(y) = 13*y + 1. Let a be l(3). Let m be 26/a - (-2)/(-8). What is the third biggest value in -2/19, 5, m?
-2/19
Let g = 278 - 4728/17. Which is the fourth biggest value? (a) 4 (b) g (c) -5 (d) 3/5
c
Let m(w) = -w**2 + 6*w. Let v be m(6). Suppose -12 = -5*h + h. What is the biggest value in -4, v, h?
h
Let y = 1/69 - -15/23. Which is the third biggest value? (a) 0.1 (b) y (c) 3
a
Let k = 1.92 - -0.08. Let v be -1 + 0 + 54/(-14). Let j = v - -864/175. Which is the biggest value? (a) k (b) -2/11 (c) j
a
Suppose 9*z = 11*z + 6. Which is the second biggest value? (a) -2 (b) 0 (c) z
a
Let k be 30/45 - (-2)/6. What is the third smallest value in 6, -2/9, k?
6
Let k be (1 - (-2)/6) + -2. Which is the smallest value? (a) 0.1 (b) 1/7 (c) k
c
Let m = 10/17 - -11/68. Which is the third biggest value? (a) m (b) -0.4 (c) -4 (d) 6
b
Let t = 2 - 1. Let p = 4.104 - 0.104. Which is the second smallest value? (a) t (b) 0.2 (c) p
a
Let t = 34 - 30.05. Let k = -0.05 - t. Let r = 2.5 - 3. Which is the second biggest value? (a) k (b) r (c) 4
b
Let g = -0.5 + 2.5. What is the smallest value in g, 1/5, -4?
-4
Let u(z) = 2*z**2 - 3*z + 3. Let v be u(2). Let w be 2/v + (-12)/(-20). Which is the second smallest value? (a) 1/4 (b) -3 (c) w
a
Let j = -2.291 - 0.009. Let o = j + -1.7. Which is the second biggest value? (a) 1 (b) o (c) -0.2
c
Suppose 0 = -u - 3*u + 12. Suppose 2*p - 10 = 4*o, -10 = -2*p + 3*p + u*o. Let c = -2 + 7. What is the smallest value in c, -3, p?
-3
Let j(w) = -w**3 - 7*w**2 - w - 8. Let s be j(-7). Let l be (-2)/(-8)*(-16)/6. Which is the biggest value? (a) -4 (b) l (c) s
b
Let y = 4 - 4.4. Let p = -1.6 + y. What is the biggest value in 5, p, -5?
5
Let z = -40 + 81/2. Suppose -5*u = 3*d + 47, -3*u + 2*d + 29 = -6*u. Let f = u + 10. Which is the second smallest value? (a) 2/11 (b) z (c) f
b
Suppose -16*o = -3*o + 52. Let p = 5 + 0. Which is the third biggest value? (a) p (b) o (c) 1/5
b
Suppose -v - 2*j - 5 = 0, v = -v + j. Let a be (v + 4)/((-63)/(-6)). What is the biggest value in a, 0.1, 0?
a
Let w = -1.03 - -0.73. What is the third biggest value in -1/36, -2/3, w?
-2/3
Let h = 1 - -4. Suppose 15 = 4*a - h. What is the third biggest value in -2, -5, a?
-5
Let p = 35.67 + -36. Let r = -0.17 + p. Which is the biggest value? (a) 2/5 (b) r (c) 8
c
Let j be (9/(-30))/((-4)/(-8)). Which is the third biggest value? (a) 2/5 (b) j (c) 2/13 (d) -3
b
Let u = 0.1 - -0.4. Let x = 0.5 + u. Let d = -0.11 - -0.51. Which is the third biggest value? (a) x (b) -3 (c) d
b
Let v = -1/80 + 121/80. What is the third biggest value in 0.5, v, 2/11?
2/11
Let r = -0.53 - 0.17. Let l = r + 4.7. What is the smallest value in l, -5, 0?
-5
Let x = -4 - -19. Suppose 0 = 3*w + x. What is the third smallest value in w, -0.2, -3?
-0.2
Let l be (40/(-25))/((-2)/(-5)). What is the fourth smallest value in 0, l, -0.4, -2?
0
Let u = -0.15 + -19.85. Let f = u + 15. What is the second biggest value in 0.05, f, 5?
0.05
Suppose 3*k = -3*s - 6, -5*k + 8*k + 3 = -2*s. Let t = -1/62 + 129/310. Which is the second biggest value? (a) s (b) -0.4 (c) t
b
Let n be (2/(-3))/(20/(-90)). Let u = -0.4 - -0.3. Which is the biggest value? (a) u (b) n (c) -1/6
b
Let f = -19 - -20. Which is the second biggest value? (a) -2 (b) -3 (c) f
a
Let k(j) = j**2 - 8*j - 8. Let p be k(7). Let m be 2 - 5/(p/(-6)). Suppose -d + 3*d - 4 = m. What is the smallest value in d, -0.4, 5?
-0.4
Let l be (-7)/6 - 15/(-30). Which is the smallest value? (a) 5 (b) -3 (c) l
b
Let j(i) = i**3 - 6*i**2 + 6*i - 2. Let u be j(5). Let v = 9.2 - 9.7. Which is the third biggest value? (a) v (b) -4 (c) u
b
Let u = -19 - -17.9. Let z = 1.4 + u. Which is the third biggest value? (a) z (b) -0.4 (c) 1/4
b
Let z = 0.35 - 0.05. Let l = 0.2 - z. What is the smallest value in -3, l, -1/4?
-3
Suppose 6*n + 3*o = 4*n + 15, -4*o = 4*n - 28. Let i(z) = -z**3 - 7*z**2 - 7*z + 4. Let j be i(-6). Let b = j - n. What is the biggest value in b, -0.3, 0.4?
b
Suppose 1 = 3*w - o, 0 = -9*w + 4*w + o + 1. Let v = 6 - 8. Let y be ((-9)/21)/(3/2). What is the second smallest value in y, v, w?
y
Let y be (-2)/(24/(-4)) - 6/27. Suppose -4*t - q - 14 = 0, -3*q + 7*q = 3*t + 20. Let r = -0.4 + 0. Which is the smallest value? (a) t (b) r (c) y
a
Suppose 10*g = 5*g + 95. Let z = 17 - g. What is the second smallest value in -4, 2, z?
z
Let k = -19 - -16. What is the biggest value in 0.2, -2, k, 2?
2
Let o = -3.2 - -3. Suppose -3*n - 2 + 23 = 0. Let s(w) = w - 10. Let f be s(n). What is the third smallest value in f, o, -2?
o
Let q = -171 + 354. Let i = 191.1 - q. Let m = i - 8. Which is the third smallest value? (a) m (b) -4 (c) -1/7
a
Let g(w) = 6*w + 6. Let i be g(-3). Suppose 2*u + u = -120. Let s be i/42 + u/(-42). Which is the second biggest value? (a) -3 (b) s (c) 2
b
Let i = 0.47 - -0.03. Let v = i - -0.1. Let b = v + -0.4. What is the smallest value in 3, b, -2/19?
-2/19
Let v = -0.095 - 1.905. Let p be (-15)/21*(-4)/(-10). What is the biggest value in p, v, -2/15?
-2/15
Let x = 3.3 - 0.3. Let j = 2 - x. Let y = 0.2411 + 0.0589. Which is the third smallest value? (a) j (b) y (c) 5
c
Let b = -3 + 4. Let w = b + -0.6. Suppose 4*d - 15 = -d. What is the biggest value in d, 0.2, w?
d
Let k = -0.9 + 4.9. Let t be ((-4)/8)/((-14)/(-16)). What is the third biggest value in -5, t, k?
-5
Let q = -147/2 - -1327/18. Let z be (93/18 + -6)/(10/(-8)). Which is the second biggest value? (a) 3 (b) q (c) z
c
Let g be (-6)/8 - (-23)/4. What is the second biggest value in g, 1/6, -1/2?
1/6
Let c = -0.3 - -0.3. Let o = c + 3. Let d be 112/(-60) + 2/1. What is the smallest value in d, 0, o?
0
Let d = -28 + 26. Which is the third smallest value? (a) 0.5 (b) d (c) 4
c
Let y = -2 - -2.2. Let z = -3 - -3. Let n = z - -0.4. What is the second smallest value in 2, y, n?
n
Let z = 1843509/7081885 - -5/32939. Let q = z + 6/43. Let g(v) = 8*v - 55. Let i be g(7). What is the third biggest value in 4, i, q?
q
Let x = 0.2 + -3.2. Which is the second biggest value? (a) -1.8 (b) x (c) -0.4 (d) -1/3
c
Let h = 14 - 0. Let k = 11 - h. Which is the second biggest value? (a) k (b) 4 (c) 5
b
Let x = 9 - 4. Let z = x + -6. Let f | {
"pile_set_name": "DM Mathematics"
} |
c be (4 - -2)*(-1)/(-2). Suppose 0 = 2*p - c*p + 11. Let w = 14 - p. Solve -w*q = -q for q.
0
Suppose -g + 5*u = 1, u = -4*g - 3*u + 20. Solve 2 = -g*r + 22 for r.
5
Let j(k) = -9*k - 189. Let r be j(-21). Let q be 10*(14/4 - 1). Solve r = -2*x - 3*x + q for x.
5
Let g be (15 + -16)/(3/(-369)). Solve -4*x = 131 - g for x.
-2
Let k(o) = 3*o + 17. Let y be k(-5). Suppose 5*p + 4*s - 36 = 0, p - 4*s = -0*p - 12. Solve -p*m - 6 = y for m.
-2
Let d be (-2)/(-6) + (-100)/(-6). Let j be (-715)/(-30) + -3 + (-4)/(-24). Let z = j - d. Solve z*a + 2 + 10 = 0 for a.
-3
Suppose 0*j + 15 = 5*j. Solve 0 = j*l + l for l.
0
Let n = 355 + -355. Solve -j - j = n for j.
0
Let d(s) = -3*s + 18. Let h be d(20). Let v be ((-135)/35 + 3)/(9/h). Solve 4 = 3*k - v*k for k.
-4
Let a(y) = -37*y - 179. Let p be a(-5). Solve 0 = p*t - 8*t - 10 for t.
-5
Suppose -3*q = -8 - 31. Suppose 17 = 4*m + i, -q = -4*m + i + 2*i. Let j be 12/3*3/m. Solve 0 = j*u - 10 + 4 for u.
2
Let r be (108/(-60))/((-3)/10). Suppose 19 - 7 = r*w. Solve 5 = w*k + 15 for k.
-5
Let g be 1 + (0 - 5) + 3 + 8. Let i be 3*g/(-63)*(-1 + 1). Solve -2*v + 4*v - 4 = i for v.
2
Let d = 31 - 16. Let s be (-3)/(d/(-4) - -3). Suppose -4 = -2*z + 3*a, a + 0*a = -s*z + 8. Solve -4*p - z = -14 for p.
3
Let l(p) = -5*p - 22. Let v be l(-5). Solve v*r = 10 - 1 for r.
3
Suppose 44 = 4*i - 3*h, -11*h + 24 = 4*i - 9*h. Solve -8*o - i = -12*o for o.
2
Let y be 6*(3 + -8 + 4). Let o be (24/(-15))/(y/15). Solve 5*h - 1 = o*h for h.
1
Let m = -271 - -376. Solve -16*b - 25 + m = 0 for b.
5
Let k(q) = -q + 4. Let x be k(-2). Suppose -2*g = a - 8, -5 - x = -a - 3*g. Suppose -1 = -a*l + l. Solve 0 = -4*h + l + 3 for h.
1
Suppose 2*z + 0*j + 4*j + 2 = 0, -2*z - 2 = 2*j. Let o be (z/1)/1 - -4. Suppose 2 = 2*d - 5*n, 4*d + o = -2*n + 7. Solve v + 3 = d for v.
-2
Let j = 240 - 227. Solve 0 = 17*w - j*w + 8 for w.
-2
Let m(x) = -8*x - 232. Let j be m(-29). Solve -9*i + 17*i = j for i.
0
Suppose 2*j - 24 - 6 = 0. Suppose -60 = -3*p - 2*p. Let c = j - p. Solve x = -c*x for x.
0
Let t = 208 + -293. Let g = 155 + t. Let q be (56/g)/((-4)/(-30)). Solve 0 = -j + q*j - 10 for j.
2
Let i(k) = k**2 + 10*k + 6. Let h be i(-8). Let g = 13 + h. Let c be (g - 4)*(1 - 1). Solve c*d - 3*d = -15 for d.
5
Suppose 0 = -7*a - 12 + 54. Suppose 3*u = a*u - 6. Solve y = u*y - 1 for y.
1
Suppose 6*f - 5*p = 3*f + 28, f = -2*p - 9. Solve -2*l - f - 5 = 0 for l.
-3
Suppose 4 = -4*s - 20. Let y be ((-9)/s)/(9/102). Suppose 2*j = -9 + y. Solve -j*g + 3 = 7 for g.
-1
Let l(h) = h + 4. Let y be l(0). Let b be -4 - (-32)/12*3. Suppose b = -y*f + 28. Solve -f*q + 4*q = 4 for q.
-2
Suppose -2*o - o + 15 = 0. Suppose 4*q - 5*s = 15, 2*q + o*s - 20 = -q. Suppose 19*f - 16*f = 0. Solve f = z + q - 2 for z.
-3
Let i(s) = -s**3 + 2*s + 1. Let b be i(-2). Suppose -4*d = 6*t - 2*t + 28, 0 = b*d - t + 5. Let h be d/(-6) - (-42)/9. Solve -2*r + h = -3 for r.
4
Let h(r) = -r**2 - 21*r + 58. Let x be h(-23). Suppose -35 = m + 4*m. Let p = x + m. Solve 2*i = p*i + 3 for i.
-1
Let k = 3175 - 3173. Solve -2*x - k = -4*x for x.
1
Suppose 0 = 2*t - 4*i - 14, 0 = -4*t + i - 97 + 111. Solve -t*q - 8 = q for q.
-2
Suppose -8*j = -6*j - 20. Suppose -9*p = -19 + j. Let n = 1 - 1. Solve h + p = -n for h.
-1
Let h(g) = -g**3 - 13*g**2 - 11*g + 26. Let f be h(-12). Suppose -l - f = 2*v - 6, 0 = 5*l + 2*v. Solve z + l + 2 = 0 for z.
-4
Let j(r) = 2*r**3 - 2*r**2 - 2*r + 4. Let n be j(2). Solve 36 = 7*d + n for d.
4
Let x be (72/10)/(-3)*(-6475)/555. Solve 8*v - 15*v = x for v.
-4
Let f(b) = b**3 + 21*b**2 - 6*b - 126. Let t be f(-21). Solve 7*m - 8*m - 4 = t for m.
-4
Let z(h) = h**3 + 5*h**2 + 3. Let m be 135/25 - 4/10. Suppose -15 = 3*q, -3*u - 3*q - 25 = m. Let f be z(u). Solve -w - 4 = f*w for w.
-1
Suppose i + q - 7 = 5, 0 = 5*q - 20. Suppose i*x - 3 = 7*x. Solve -x*j = -1 - 2 for j.
1
Let u(y) = y**3 + 6*y**2 - 2*y - 6. Let k be u(-6). Let q(v) = v + 11. Let g be q(-9). Suppose 30 = g*p + p. Solve 4*r - p = k for r.
4
Let a be (-1 - -1)*(-2 + (-24)/(-16)). Solve -o - o = a for o.
0
Let t(r) be the third derivative of -r**5/60 + 5*r**4/12 - 3*r**3/2 + 7*r**2. Let i be t(9). Solve i = 2*d - 3 + 7 for d.
-2
Let m be 25/(-10)*(-18)/15. Solve 3*i - m - 3 = 0 for i.
2
Suppose 9*q - 184 = -49. Solve -5*g + 10 + q = 0 for g.
5
Suppose -4*d = 14*d - 1332. Solve -78*t + 8 = -d*t for t.
2
Let u(b) = b + 12. Let f(k) = k. Let t(r) = -4*f(r) + 2*u(r). Let z be t(10). Let q(s) = 2*s - 2. Let a be q(2). Solve a*i + 0 = z for i.
2
Suppose -m = -4*g - 39, 0*m - 5*m - 15 = g. Suppose -d + 90 = 5*d. Let j = d + g. Solve -10 = 5*r - j for r.
-1
Suppose 5*w = -20*s + 22*s + 19, 5 = w. Let x = -7 - -23. Solve s*i + x = -i for i.
-4
Suppose 6 + 8 = 7*i. Solve i*y - 5*y = 9 for y.
-3
Let b(r) = -r**3 - 19*r**2 - 3*r - 15. Let h be b(-19). Suppose -h = 10*f - 142. Solve f + 0 = -5*g for g.
-2
Let h = 384 + -375. Solve h = 6*t + 3 for t.
1
Suppose 18*c + 5*o = 14*c + 250, 0 = 2*c + o - 122. Solve -12*m - c = -24*m for m.
5
Suppose 561 = 495*h - 478*h. Solve -h = -25*c - 158 for c.
-5
Let h be 114/(-171)*(-5)/2*3. Solve -8 = h*x - 23 for x.
3
Let i = 115 + -107. Solve -2*v - 2 = i for v.
-5
Suppose 4*s - 5 = 3*i - 27, -6 = -5*i - s. Let p be (-2)/(1 - i) + -2. Let o = -2 + 9. Solve -4*n + o + 1 = p for n.
2
Let d(a) = a**2 + 11*a + 2. Let v be d(-5). Let y be (-8)/28 + (-8)/v. Solve 0 = -y*h - 3*h for h.
0
Suppose 2 = 4*x + 4*m - 14, x - 4 = m. Suppose -2 - 10 = -x*p. Solve r + 8 = p*r for r.
4
Let a be 2 + (-9)/((-36)/(-184)). Let f = -41 - a. Solve 0 = 8*d - 5*d - f for d.
1
Let u be 0*(2 + (1 - 4)). Let r(w) = 2*w - 8. Let n be r(6). Suppose n*m - 8 = -u*m. Solve 0 = m*g + g for g.
0
Let c = -114 - -118. Solve -23*k + 19*k - c = 0 for k.
-1
Let q(w) = 2*w**3 + 6*w**2 - 4*w - 18. Let j be q(2). Solve -24 = j*p + 18 for p.
-3
Suppose -109*r = -100*r - 45. Solve -r*m = -15 - 0 for m.
3
Let d(y) be the first derivative of -3*y**2/2 - 18*y + 6. Let j be d(-6). Solve j = 3*p + 2*p - 25 for p.
5
Suppose -15*f + 322 = 277. Solve f*m + 11 - 2 = 0 for m.
-3
Suppose 36*u + 50 = 61*u. Solve 0*x - u = x for x.
-2
Let c(i) = i**3 - 8*i**2 - 10*i + 2. Let v be c(9). Let t = 0 - v. Let y(k) = 2*k**2 - 2*k - 1. Let l be y(-1). Solve l*f + 4 - t = 0 for f.
1
Let g = 8 - 40. Let i = g - -4. Let x be (-3)/(i/(-10) - 3). Solve -l = 2*l - x for l.
5
Suppose 33 + 27 = 3*j. Suppose -19 = -4*c + 1. Suppose -c*k + 6 + 9 = 0. Solve -j = -k*g - g for g.
5
Let h = 92 + -42. Let k be -30*((-2)/20 + (-20)/h). Solve c = -2*c - k for c.
-5
Let s(r) = -r - 7. Let p(a) = a - 2. Let m be p(-8). Let b be s(m). Let v = -9 - -14. Solve b = 4*q - v for q.
2
Let t be (-2 + 1)*16/((-96)/30). Solve -6*v + v = t for v.
-1
Let u = -20 + 22. Suppose 0 = -2*d + 5*z + 125, -u*z = 4*d + z - 289. Suppose -4*w + 4*s = w - d, -5*w = -3*s - 65. Solve 3*o + w = 4 for o.
-2
Suppose 36*s = 381 - 57. Solve 5*l = s*l + 20 for l.
-5
Suppose -k + 19*a - 15*a - 17 = 0, a = -2*k + 11. Suppose -5*j = -2*j. Solve j*z = k*z + 9 for z.
-3
Suppose 0*a - 128 = -4*a - y, 5*y = -5*a + 145. Suppose -2*g + a = 5*n, 4*g + 6*n - n - 41 = 0. Suppose -3*d = -g*d + 3. Solve -d + 2 = -x for x.
1
Let w(m) = -2*m**3 + 25*m**2 - 6*m - 71. Let i be w(12). Solve -10*u + i = -11*u for u.
-1
Suppose 0 = -4*m - 4*i + 12, -3*m - i + 3*i = -4. Solve -g = m*g for g.
0
Let j(h) = 4*h**3 - h**2 + 4*h - 6. Let g be j(2). Suppose -6 + g = 6*q. Solve -20 = q*t + t for t.
-4
Suppose 4*z + 15 = -3*a, 358*z - 2*a = 360*z + 10. Suppose -1 = 2*l + m, -3*m = 2*l - 4*m - 9. Solve 8 = l*c - z*c for c.
4
Let z(s) = -s**3 + 12*s**2 - 10*s - 6. Let l be z(11). Solve -l*c + 6*c + 3*c = 0 for c.
0
Suppose 184 = -3*t + 26*t. Solve -9*v - 4 = -t*v for v.
-4
Let h(r) = -71*r + 67*r - 4 + 1. Let x be h(-3). Solve -x*t = -4*t - 25 for t.
5
Let u be (-2)/3*(-70 + 1). Let f be (-20)/70 + u/14. Solve -4*v = -f - 1 for v.
1
Let c be 4/(-6) - 44/(-3). Let p = 17 - c. Solve -f - 12 = p*f for f.
-3
Let h be 80/14 + (-4)/(-14). Let c = 5 + -2. Let x be c*(-2)/6 - -5. Solve r + h = x*r for r.
2
Let j be 16 + (-2 + 0 - -6). Solve p - 5*p = -j for p.
5
Let z = 4 - -34. Let t be z/10 - 4/(-20). Solve -t = -3*u + 2 for u.
2
Let n = 35 - 28. Suppose 30 = -n*y + 13*y. Suppose -2*q + 0*j - y*j = -19, 2*j = 6. Solve 4 = d + q | {
"pile_set_name": "DM Mathematics"
} |
millilitres.
5820497
Convert 45.35854 litres to millilitres.
45358.54
Convert 0.3156562km to millimeters.
315656.2
How many years are there in 18.189387 months?
1.51578225
What is 0.2468287 meters in centimeters?
24.68287
How many litres are there in 934.047ml?
0.934047
Convert 75847.3 years to centuries.
758.473
How many millilitres are there in 13/5 of a litre?
2600
What is 6156.283 millennia in decades?
615628.3
What is 89972.13kg in nanograms?
89972130000000000
What is 0.239175um in kilometers?
0.000000000239175
What is 3/5 of a tonne in kilograms?
600
What is 32/5 of a kilometer in meters?
6400
What is 1.165906 litres in millilitres?
1165.906
How many months are there in 21/4 of a century?
6300
How many grams are there in 8611.359ng?
0.000008611359
What is four sevenths of a week in hours?
96
What is 511071.3 micrometers in centimeters?
51.10713
What is 2/27 of a week in seconds?
44800
What is 1769078.1 milliseconds in minutes?
29.484635
How many nanometers are there in 42/5 of a micrometer?
8400
What is one twentieth of a litre in millilitres?
50
How many centimeters are there in 43847.46 micrometers?
4.384746
How many weeks are there in 820.298934 nanoseconds?
0.000000000001356314375
How many years are there in 48/5 of a millennium?
9600
How many millilitres are there in 1/4 of a litre?
250
What is 52.0616 hours in seconds?
187421.76
What is one twentieth of a millennium in months?
600
What is 33/5 of a century in decades?
66
What is 693.753ml in litres?
0.693753
What is 9.738463 meters in micrometers?
9738463
How many millilitres are there in 1/5 of a litre?
200
How many tonnes are there in 0.3219962 grams?
0.0000003219962
How many milliseconds are there in 5/8 of a second?
625
How many nanograms are there in 246100.5ug?
246100500
What is 21/5 of a tonne in kilograms?
4200
What is 1/10 of a millisecond in nanoseconds?
100000
Convert 897760.5 weeks to microseconds.
542965550400000000
What is 25/8 of a decade in months?
375
What is thirteen quarters of a century in months?
3900
How many minutes are there in fourty-nine quarters of a hour?
735
What is 766.3416 milligrams in micrograms?
766341.6
What is 9761.832 millennia in centuries?
97618.32
What is 3/8 of a microgram in nanograms?
375
How many millilitres are there in thirteen eighths of a litre?
1625
Convert 70814.8 days to milliseconds.
6118398720000
How many decades are there in 96336.6 millennia?
9633660
How many millilitres are there in 517.1763l?
517176.3
How many centuries are there in 51/2 of a millennium?
255
What is fifty-two fifths of a litre in millilitres?
10400
How many nanometers are there in 3.770059 millimeters?
3770059
What is 0.0262512 weeks in seconds?
15876.72576
Convert 437.7909ng to tonnes.
0.0000000000004377909
Convert 406757.5 millennia to months.
4881090000
Convert 20.2913424ms to days.
0.0000002348535
How many minutes are there in 42.8943 days?
61767.792
How many seconds are there in eleven eighths of a hour?
4950
What is eleven halves of a millennium in months?
66000
How many micrometers are there in twenty-five quarters of a millimeter?
6250
Convert 7.004596 millilitres to litres.
0.007004596
Convert 0.802295 nanoseconds to microseconds.
0.000802295
Convert 0.605103l to millilitres.
605.103
How many microseconds are there in 4.90878 nanoseconds?
0.00490878
What is 21/4 of a gram in milligrams?
5250
How many millennia are there in 27831.9 years?
27.8319
How many meters are there in 6/25 of a kilometer?
240
What is 13/5 of a century in years?
260
How many decades are there in six fifths of a millennium?
120
What is 154665.54 months in years?
12888.795
Convert 16151.97 meters to millimeters.
16151970
How many minutes are there in 2.3557773 microseconds?
0.000000039262955
What is fourty-four fifths of a litre in millilitres?
8800
How many minutes are there in 8/7 of a week?
11520
Convert 4125.519 grams to milligrams.
4125519
What is one fifth of a century in years?
20
How many months are there in one fifteenth of a century?
80
How many months are there in 1/4 of a millennium?
3000
What is twenty-seven fifths of a decade in years?
54
Convert 5.947283ns to microseconds.
0.005947283
What is 31/2 of a micrometer in nanometers?
15500
What is 64/5 of a litre in millilitres?
12800
How many microseconds are there in 8.705327ns?
0.008705327
How many millilitres are there in 27/4 of a litre?
6750
What is 1/5 of a second in milliseconds?
200
How many micrometers are there in 3/5 of a centimeter?
6000
Convert 920794.77 seconds to days.
10.657346875
How many grams are there in 57.21818 nanograms?
0.00000005721818
What is twenty-one fifths of a hour in seconds?
15120
What is fourty-eight fifths of a gram in milligrams?
9600
What is 21/4 of a micrometer in nanometers?
5250
What is one tenth of a decade in years?
1
How many milliseconds are there in 0.6250805us?
0.0006250805
How many meters are there in 32/5 of a kilometer?
6400
Convert 4.776979 kilograms to tonnes.
0.004776979
Convert 93.95165mg to tonnes.
0.00000009395165
What is 27.90021 seconds in milliseconds?
27900.21
How many millilitres are there in 5/4 of a litre?
1250
Convert 1860.464t to nanograms.
1860464000000000000
How many seconds are there in one quarter of a minute?
15
What is 6/5 of a milligram in micrograms?
1200
What is 3/10 of a centimeter in micrometers?
3000
How many weeks are there in 37004.3856 microseconds?
0.0000000611845
What is 7/18 of a day in seconds?
33600
How many micrograms are there in 0.1270112g?
127011.2
How many milligrams are there in nine tenths of a gram?
900
Convert 0.7119223 kilograms to milligrams.
711922.3
What is 43/4 of a microgram in nanograms?
10750
How many millilitres are there in 1/10 of a litre?
100
What is twenty-five quarters of a day in hours?
150
What is three tenths of a gram in milligrams?
300
What is 3/25 of a kilometer in meters?
120
What is 2988.734 centimeters in kilometers?
0.02988734
What is 370566.5ug in kilograms?
0.0003705665
What is 7058.492m in micrometers?
7058492000
What is 298424.04ns in minutes?
0.000004973734
How many millimeters are there in 5847.028 kilometers?
5847028000
What is 56.09874mm in nanometers?
56098740
How many months are there in twenty-eight thirds of a century?
11200
How many months are there in 41/2 of a century?
24600
Convert 277.4141l to millilitres.
277414.1
Convert 75.12169nm to millimeters.
0.00007512169
How many litres are there in 0.4277142 millilitres?
0.0004277142
Convert 61029.71ml to litres.
61.02971
What is 94.3896 days in nanoseconds?
8155261440000000
What is 1/16 of a milligram in nanograms?
62500
How many months are there in three eighths of a millennium?
4500
How many millimeters are there in twenty-one halves of a centimeter?
105
What is 691.0302 years in centuries?
6.910302
How many centuries are there in eighteen fifths of a millennium?
36
How many micrograms are there in 21/2 of a milligram?
10500
What is ten thirds of a hour in seconds?
12000
What is 13/4 of a micrometer in nanometers?
3250
Convert 599249.8 years to millennia.
599.2498
How many litres are there in 83.36433ml?
0.08336433
How many hours are there in 7/2 of a week?
588
What is 3/40 of a kilogram in milligrams?
75000
How many months are there in 0.68298 decades?
81.9576
What is 10/9 of a hour in seconds?
4000
How many kilograms are there in one quarter of a tonne?
250
What is twenty-nine fifths of a meter in millimeters?
5800
How many decades are there in 0.471225 millennia?
47.1225
What is 11/4 of a century in months?
3300
How many tonnes are there in 9405.033kg?
9.405033
Convert 61927.27 litres to millilitres.
61927270
Convert 23.02685 centimeters to nanometers.
230268500
Convert 97069.66 millennia to years.
97069660
What is 12134.454 months in years?
1011.2045
What is 8/3 of a day in minutes?
3840
How many millilitres are there in 326.5066 litres?
326506.6
How many litres are there in 54997.02 millilitres?
54.99702
How many years are there in 6/25 of a century?
24
How many minutes are there in three eighths of a day?
540
What is 6/5 of a meter in millimeters?
1200
What is twenty-one fifths of a millennium in decades?
420
How many days are there in 14637960.9 nanoseconds?
0.00000016942084375
How many centuries are there in 52/5 of a millennium? | {
"pile_set_name": "DM Mathematics"
} |
common multiple of i and 3?
6
Find the common denominator of 111/(-6) - 1/(-4) and 1/(-5) + 1485/(-1950).
52
Suppose 5*r = -4*c + 17, -4*c = -2*r + 25 - 7. What is the common denominator of 15/9 + 3 + (-2 - c) and -53/9?
9
Let w = 237 - 213. Calculate the least common multiple of 16 and w.
48
Calculate the common denominator of 1545/(-220) + 1 + 6 and -29/24.
264
Let w = -8158 - -122458/15. Let r = -191 - -107. Find the common denominator of w and (1/3)/((-6)/r).
15
Suppose 0 = 4*w - 19 + 11. Let j = 5/6 + w. Find the common denominator of -39/14 and j.
42
Suppose 3*t - 490 = i, -i + 685 = 4*t + 4*i. Suppose 3*j + 8*j - t = 0. Calculate the lowest common multiple of j and 24.
120
Suppose -2*t = -17*s + 18*s - 302, 0 = 3*t - 3*s - 444. What is the least common multiple of t and 30?
150
Suppose 5*b = -6*b - 693. Calculate the common denominator of 32/(-18) - -7*6/b and -41/12.
36
Let y = 4 + 16. Calculate the common denominator of -49/9 and (-25)/(-40)*148/y.
72
Suppose -y + 4 = 2*y - 2*g, 3*y - 3 = 3*g. Let m = 5 - y. Let c(v) = -2*v**2 + 33*v - 31. Calculate the smallest common multiple of c(15) and m.
42
Let s(y) = 0*y - 3*y**2 - 2*y**3 - 2*y + 271 - 273. Calculate the smallest common multiple of s(-2) and 6.
6
Let v = -4235/6 - -93053/132. Find the common denominator of 7/120 and v.
1320
Suppose -13 + 3 = -2*w. What is the common denominator of 1 + (2 - (-183)/24) and w/(-14)*-16 + (2 - 1)?
56
Find the common denominator of 96/60*((-25)/12 + 2) and 188/30 - (-2)/(-4).
30
Calculate the smallest common multiple of (-28 - -30)*(0 - (-2 - -1)) and 50.
50
Suppose -6*i + 17*i - 99 = 0. Let y(g) = g**2 - 2*g - 3. Let p be -1*(-6 - (1 - 3)). What is the lowest common multiple of y(p) and i?
45
Let f = 2887 - 2425. What is the smallest common multiple of 24 and f?
1848
Let w(y) = 19*y**3 - y**2 - 2*y + 4. Calculate the smallest common multiple of w(2) and 4.
148
Find the common denominator of 39/20 and (-714)/(-680)*(0 + -1)/(-1).
20
Let w be (2/4*4)/(20/(-590)). Let b = 63 + w. What is the least common multiple of 12 and b?
12
Suppose 18*a + 75 = 219. What is the smallest common multiple of 165 and a?
1320
Suppose -3*b - 5*h = -9150, -21*b + 22*b - h = 3050. What is the lowest common multiple of b and 22?
33550
Let w = 13 + -9. Calculate the lowest common multiple of w and (-16 - -10)/(10/16 - 1).
16
Calculate the common denominator of 68/9 and 0 - -1 - 9306/2508.
342
Let t be -3 + ((-970330)/(-24))/(-5). Let x = t + 8077. Calculate the common denominator of x and -43/9.
36
Let y = -13810 + 303901/22. Calculate the common denominator of -36/187 and y.
374
Suppose -h + 3*f = 11, -2*f = -4 - 2. Calculate the common denominator of (-37)/(-4) + 1 + 0 and ((-185)/60)/((-1)/h).
12
Suppose -218 = 2*k - 3*v, -2*v + v + 214 = -2*k. What is the common denominator of -2 + k/20 + (13 - 11) and 39/7?
70
Let f = 23581/11550 + 2/525. Let m = 2887679/351 - 8227. Let n = m + -5273/1404. What is the common denominator of n and f?
44
Calculate the common denominator of (-23)/42 + 8/(-12) and 4/(-20) + 216/(-48).
70
Suppose 5*f + 16 + 4 = 0. Let l(t) = -t**3 - 3*t**2 + 4. Calculate the lowest common multiple of l(f) and ((-2)/10)/(4*(-3)/(-60)) - -7.
60
Suppose -q - 51 = -5*q - i, -q - 2*i = -18. Let s(k) = 18*k. Calculate the least common multiple of q and s(1).
36
Suppose o = -o + 2*g - g, 3*g - 6 = 0. Suppose -2*p = -7*p + 25. Calculate the least common multiple of o and p.
5
Suppose -5*i + 23 + 109 = 4*p, -2*i - 4*p = -48. Suppose 2*o + 6 = i. What is the lowest common multiple of o and 4?
44
Let p = 312986951/220 + -1422672. Let z be (-1503)/(-924) + 4/(-14). Let g = p + z. Calculate the common denominator of -131/12 and g.
60
Suppose -6*h + 72 = -4*h + 4*m, 4*h - 2*m = 144. What is the smallest common multiple of h and 171?
684
Suppose l = 13 - 1. Suppose -n + 33 = -4*k, 4*k = 4*n - 9*n + 93. Let z = -11 + n. What is the smallest common multiple of l and z?
60
Suppose -5*p + 39 = 3*d - 10, 15 = 5*d - 5*p. What is the least common multiple of 22 and d?
88
Let x = -36 - -41. What is the least common multiple of x and (-7)/(-35)*(-2 + 1*57)?
55
Suppose 6*j - 8*j + 6 = 0. Suppose -6*q + 8 = -l - q, j*q = -2*l + 23. Calculate the lowest common multiple of l and 6.
42
Suppose 2*w = 3*r + 16, -r + 23 = 5*w - 0. Suppose -1 = 5*t - h - 3*h, -w*t + 3*h + 3 = 0. Calculate the smallest common multiple of 22 and t + -5 - 1 - -5.
22
Let k = 10 - 3. Let q(z) be the first derivative of z**4/4 - 3*z**3 - 9*z**2/2 + z + 14. What is the lowest common multiple of q(10) and k?
77
Let g be 6/128*(-14)/824145. Let c = 148974009/13814240 - g. Let x = -98/11 + c. What is the common denominator of 81/2 and x?
8
Let w = -4/6767 - 520963/162408. Find the common denominator of w and 51/88.
264
Suppose 2*d + 0 = 8. Suppose 2*c - f - 4 = 0, 3*c - d*f - f + 1 = 0. Calculate the smallest common multiple of 14 and (-2 - -6)/(-2 + c).
28
Suppose 29 = -2*b + 33. Calculate the common denominator of -1*(3 + 67/b) and -97/10.
10
Suppose -3*z + 5092 = 5*v, 2728 = 5*v - 4*z - 2336. Let l = -2073/2 + v. Let n = -3840/7 + 7587/14. Calculate the common denominator of n and l.
14
Suppose 2*h + 3*a + 9 = 0, 0 = -5*h + a - 0*a + 3. Suppose h = k - 4*k + 117. Calculate the common denominator of -87/2 and (-182)/k*78/(-80).
20
Let q be (3 + 1)/((-5)/(-10)). Let f = q - 10. What is the common denominator of (-1)/f*(-1)/2 and -101/22?
44
Let x(w) = -3*w**2 - 14*w + 2. Let u(n) = -3*n**2 - 15*n + 3. Let o(b) = -3*u(b) + 2*x(b). Calculate the lowest common multiple of o(-6) and 4.
4
Suppose w = f + 85, 5*w - 10*w - 3*f = -465. Calculate the lowest common multiple of w and 2.
90
Let g be 22/(-110) - (0 - (-38)/10). Calculate the common denominator of -17/22 and (5 + (-732)/165)*(-30)/g.
22
Let u be (-429459)/(-74) - 2/((-20)/(-6)). Let m = -5813 + u. What is the common denominator of m and -14/3?
30
Let m = -1667687/11317640 + -1/207030. What is the common denominator of 19/3 and m?
984
Let h = 4977943/225 + -22124. Find the common denominator of 50/33 and h.
2475
Let w(f) = -75*f + 2. Let p be w(-1). Let i = p + -35. Find the common denominator of 53/6 and i.
6
Let r be (-1)/120714*(-1992855)/(-10). Let f = 15/1829 - r. Let l = f - 5/308. Calculate the common denominator of -91/16 and l.
112
Suppose -4*d + 60 = -3*s - 0*s, 40 = 5*d + 5*s. Suppose 0 = 4*u + 2*o - 2 - 26, -4*o - 16 = 0. What is the lowest common multiple of u and d?
36
Calculate the smallest common multiple of 33*(-4)/(-60)*(9 + -4) and 21.
231
Let y(g) = 14*g + 4. Let p(b) = b + 2. Let q be p(-1). What is the least common multiple of 12 and y(q)?
36
Let d(o) = -13*o. Let p be d(-3). Let a be 70/(-25)*p*5. Let i = -14193/26 - a. What is the common denominator of i and -56/11?
286
Let c = -4446957/92 + 48337. Calculate the common denominator of -89/16 and c.
368
Let q = -148 - -22. Let j = -73049/14301 - 5/1589. What is the common denominator of j and (-218)/q - 2/7?
9
Let g be (1/2)/(2/24). Suppose 2*h - h = g. Calculate the smallest common multiple of ((-2)/(-6))/(12/504) and h.
42
Let m(a) = -7*a - 39. Calculate the smallest common multiple of 2 and m(-6).
6
Let p = -281951/1248 - -2955/13. Find the common denominator of 77/12 and p.
96
Let t = 4276 + -38530/9. Let p = -1181/630 - 1/70. Find the common denominator of p and t.
9
Let p(s) = 29*s**3 + s**2 + 4*s - 4. Let w(g) = g**2 - 8*g + 13. Let k be w(6). Calculate the lowest common multiple of 6 and p(k).
30
Suppose 82 + 46 = 8*j. Let y(x) = x**3 - 15*x**2 - 16*x + 40. What is the smallest common multiple of y(j) and 6?
120
Let i = 1264 - 804. What is the least common multiple of i and 12?
1380
Suppose 3*w + 8 = -w. What is the common denominator of ((-1)/w)/((-5)/41) and 1*(-14 + (-1134)/(-98))?
70
Calculate the smallest common multiple of 76 and ((-114)/(-10))/(-10 + (-1510)/(-150)).
684
Suppose 44*r = 32*r + 96. Calculate the smallest common multiple of r and 40.
40
Find the common denominator of (-11 + (-31857)/(-2898))/(1/(-11)) and 125/18.
414
Suppose -4*d + d + 18 = 0. Suppose 5*g - 27 = -2*l, -l = -0*l - 3*g - 30. Let m = -11 + l. What is the least common multiple of d and m?
30
Let g = -56 + 102. Let j = -30 + g. Suppose 2*f - 44 = 5*b, 5*f + 5*b - 44 = b. What is the lowest common | {
"pile_set_name": "DM Mathematics"
} |
= 0.8 - 1.1. Let x = d - -0.30000168. What is x rounded to 7 decimal places?
0.0000017
Suppose -2*n - 1183 - 1277 = 0. What is n rounded to the nearest one hundred?
-1200
Suppose -5*z - c = -40 + 662, z - 5*c = -114. Round z to the nearest 10.
-120
Let j = 327 + -326.522. Let m = -0.56 + j. Round m to two dps.
-0.08
Suppose -d - 13*d = 789600. What is d rounded to the nearest ten thousand?
-60000
Let g = 32614 - 32661.943. Let o = g - -48. Let w = o + -5.257. What is w rounded to zero decimal places?
-5
Let l = 14 + -11. Let b = l - 2.9975. What is b rounded to three decimal places?
0.003
Let z = -1509067614 + 1509067573.00000067. Let h = -0.083 - 40.917. Let n = h - z. Round n to seven dps.
-0.0000007
Let r = 33948 + -23573. Suppose 5*n + 41985 - 15970 = 3*v, 2*n = -5*v - r. Round n to the nearest 1000.
-5000
Let f = -125.909 - -126. Let m = f + -0.0827. Round m to 3 dps.
0.008
Let q = -0.0704 + 0.1602. Let m = q - 0.09. What is m rounded to 4 dps?
-0.0002
Let h = -25460 + 25459.63938. Let p = h + 0.36. What is p rounded to 4 decimal places?
-0.0006
Suppose -11*d + 23*d = 1116000. What is d rounded to the nearest 10000?
90000
Suppose -p + z + 612 = 0, z = 3*p + 2*p - 3076. What is p rounded to the nearest ten?
620
Let k = 69 - 68.999804. Round k to five dps.
0.0002
Let u = -0.22 + -0.08. Let r = u + -2.7. Let i = 3.000016 + r. What is i rounded to 5 decimal places?
0.00002
Let x = 10.99999869 - 11. What is x rounded to 7 decimal places?
-0.0000013
Suppose -2*z + 16439184 = -49360816. What is z rounded to the nearest 1000000?
33000000
Let w = -36 - -8. Let n = 27.9999966 + w. What is n rounded to 6 dps?
-0.000003
Let i = 4 - 3. Let u = i - -9. Let y = u + -9.9948. What is y rounded to three dps?
0.005
Let d(v) = -117748*v + 1. Let t(x) = -x**2 - 7*x + 7. Let i be t(-8). Let g be d(i). Let k be (-400)/(g/(-39250) - -3). Round k to the nearest one million.
-16000000
Let i = -4 - -4. Suppose f + 81 = m - i*f, 5*f = 3*m - 249. What is m rounded to the nearest ten?
80
Let t(y) = -224*y**2 + 10*y - 8. Let s be t(-8). Let g = s - 15576. What is g rounded to the nearest ten thousand?
-30000
Let j be (-69)/(-21) - 4/14. Let w be 9767 - 4/(-6)*j. Suppose 4*o + d = -45601, o + 2*d + 1633 + w = 0. What is o rounded to the nearest 1000?
-11000
Let f = 40733 + 163267. Suppose 0 = 2*q - 6*q + f. What is q rounded to the nearest 10000?
50000
Let h = 357773 + -616587. Let i = 258860.9981 + h. Let j = 47 - i. Round j to three dps.
0.002
Let j = 13.6 - 19. Let l = 5.400108 + j. Round l to five dps.
0.00011
Let t be 224276/6 - (-4)/6. Suppose -4*u - 1881 + 20571 = -a, -2*a + 2*u - t = 0. Let o = a - -4690. Round o to the nearest ten thousand.
-10000
Let q(p) = 9499*p**2 - p + 2. Let y be q(-2). What is y rounded to the nearest ten thousand?
40000
Let s(c) = c**2 - 6*c + 12. Let j be s(9). Let y = -154 + 69. Let z = y + j. What is z rounded to the nearest 10?
-50
Let r = -7.73 + -0.07. What is r rounded to the nearest ten?
-10
Let p = 130.9627 - 131. Let j = -0.03729761 - p. What is j rounded to 7 dps?
0.0000024
Let m = 42.000025 - 42. What is m rounded to five dps?
0.00003
Let d = 0 + -2.1. Let t = d + 2.099946. What is t rounded to five dps?
-0.00005
Let j = 15 + -70. Let u = 29 + j. Let q = -25.999935 - u. Round q to five dps.
0.00007
Let y = -525.4 - -473. Let g = y + 9.4. Let v = g + 42.999941. Round v to five dps.
-0.00006
Let a be (17820/27)/(6/(-320000)). What is a rounded to the nearest one million?
-35000000
Let i = -1573.6 + 1181. Let t = i - -392.75965. Let p = t - 0.16. Round p to four dps.
-0.0004
Let a = -89 + 88.929. Let g = 0.0710041 + a. What is g rounded to 6 dps?
0.000004
Let f = 0.444 + -0.064. What is f rounded to one dp?
0.4
Let f = 24 - 8. Let i be (-584001)/(-4) + (-4)/f. What is i rounded to the nearest 10000?
150000
Let p = -0.0199 + 0.028. Round p to three dps.
0.008
Suppose 5*b - 4*t - 70 = -9*t, 2*b + 5*t = 28. Let o = -10 + b. Suppose 0 = o*l + 2179145 - 12179145. Round l to the nearest 1000000.
3000000
Let l = 3.1 + -3. Let t = -1.4 + l. Let x = t + -1.3. Round x to 0 dps.
-3
Let p(h) = 10*h + 7. Let c be p(4). What is c rounded to the nearest 10?
50
Let f = -42.902 + 43. Round f to two decimal places.
0.1
Let v(u) = 2*u**2 + u. Let k be v(1). Let o = k - -20. Suppose 4*g = o - 179. What is g rounded to the nearest ten?
-40
Let z = -41.1803 + -0.0197. What is z rounded to the nearest 10?
-40
Let b = 3 - 1.64. Let w = 1.3741 - b. Round w to 3 dps.
0.014
Let h = 90 - 129. Let t = h + 38.38. Let k = t - -0.1. What is k rounded to one decimal place?
-0.5
Let m(u) = u**2 - 2*u + 3. Let l be m(2). Let n be -2 + l - 3 - 3999998. Round n to the nearest 1000000.
-4000000
Let g = 147 - 147.083. Round g to 2 decimal places.
-0.08
Let q = -7 - -7.01. Let l = 0.01 + q. What is l rounded to 1 decimal place?
0
Let n = -305.7 - -319. Let d = -32 + 18. Let k = d + n. Round k to 0 decimal places.
-1
Let s = 0.16 + 1.24. Let i = -0.6 - s. Let b = i - -2.113. Round b to 2 dps.
0.11
Let x = -32 + 46. Let q = x - 10. Suppose 8*g - 252000 = q*g. What is g rounded to the nearest 10000?
60000
Let q(w) be the first derivative of -757*w**4/2 - 2*w**3/3 + 3*w**2/2 + 2*w - 10. Let t be q(-2). Round t to the nearest one thousand.
12000
Suppose -45 = -v + 4*v. What is v rounded to the nearest 10?
-20
Let q = 0.018 + 98.982. Let y = 99.0101 - q. Round y to 3 dps.
0.01
Let w(r) be the first derivative of -3/4*r**4 + 2 - 5/2*r**2 + 14/3*r**3 - 12*r. Let i be w(9). Round i to the nearest one hundred.
-1100
Suppose 142800060 = 5*q - q. Suppose 3*c = 3*l - q, c - 2*l + 11900015 = l. Round c to the nearest 1000000.
-12000000
Let p(i) = i**3 - 6*i**2 + 4*i + 5. Let x be p(4). Let n be -1 + 103 - (15 + x). What is n rounded to the nearest ten?
100
Suppose 0 = -3*f - 8 + 17. Suppose 5*q = -2*x - 1150000, -f*q = -3*x + x + 690000. What is q rounded to the nearest 100000?
-200000
Let l = 5.77 + -0.17. Let a = l + 2.3. What is a rounded to the nearest integer?
8
Let j = 2.255 + -2.3. Round j to 2 dps.
-0.05
Let n = -3.8 - -2.2. Let q = -0.43 + n. What is q rounded to one decimal place?
-2
Suppose 17 = 5*k - 2*s - 2*s, -5*k - 3*s = -31. Let z(l) = 518*l + 10. Let a be z(k). What is a rounded to the nearest 1000?
3000
Let i = 215267925.9999946 - 215267902. Let z = 50 + -74. Let y = i + z. What is y rounded to six decimal places?
-0.000005
Let i be (-5)/(-5)*(-3101 - -1). Round i to the nearest 100.
-3100
Suppose -y = -5*y - 8, 0 = 2*h - 2*y - 118. Suppose 0 = 4*k + 5*t + h + 163, 2*t = -8. Let u be (-24)/(54/k - -1). Round u to the nearest 100.
300
Let p = 53.979 + -54. What is p rounded to 3 dps?
-0.021
Suppose y + 4*b - 1996 = 0, 0 = 2*b - 3*b. Suppose g + m = -m - y, 0 = -2*g + 2*m - 4016. Let j be 6/15 - g/(-10). Round j to the nearest one thousand.
0
Suppose -8409993 = 2*z - 1674207. Let h = -32107 + z. What is h rounded to the nearest 1000000?
-3000000
Let a = -7 - -7.00075. Round a to four dps.
0.0008
Let r = -1.3439 - -1.33. Round r to two dps.
-0.01
Let y be (-500)/((-1)/(-3120)*2). Round y to the nearest 100000.
-800000
Let k = 127124 - 83824. Round k to the nearest 10000.
40000
Suppose -z + 4*g = -5*z + 3600024, 3*g = -z + 900002. Suppose 3*s = -0*h + 4*h + z, 2*s = -4*h + 599992. What is s rounded to the nearest 100000?
300000
Let u = -1.5 + -48.5. Let z = u + 52.7. Round z to zero decimal places.
3
Let d = -58994289 - -58994302.0000045. Let a = d - 13. Round a to six decimal places.
0.000005
Let o = 54924733.24 - 54924706.73999877. Let s = 26.5 - o. Round s to seven decimal places.
-0.0000012
Let i = -14 + 19. Suppose -5*y = 4*t - 121, 3*t + 5*y + 23 = i*t. Round t to the nearest 10.
20
Suppose -2*s - 3 = -7. Let i be 2 - (1 + -2)*0. Suppose i*w + s*u = u - 1178, 2364 = -4*w + 2*u. What is w rounded to the nearest 100?
-600
Let l = 0.03 + 6.97. Let o = 6.99985 - l. What is o rounded to four decimal places?
-0.0002
Let y = -1.029 - -1. Let b = -0.033 + y. Let m = b - -0.0619971. What is m rounded to 6 dps?
-0.000003
Suppose 5*v = a + 124, -v + 5*a - 52 = -4*v. Let p be (3 - 3) + 0 + v. Round p to the nearest 10.
20
Let p(o) be the third derivative of o**6/120 - 11*o**5/60 - 11*o**4/24 + 11*o**3/6 + 6*o**2. Let i be p(11). What is i rounded to the nearest 10?
-1 | {
"pile_set_name": "DM Mathematics"
} |
*(m - 88)*(m - 69)**2
Find q such that q**3/10 - 2064*q**2/5 + 37049*q/10 + 45309/5 = 0.
-2, 11, 4119
Let -2*m**2/5 - 29641774*m/5 + 29641776/5 = 0. Calculate m.
-14820888, 1
Factor 3*h**2/4 + 242121*h + 1452699.
3*(h + 6)*(h + 322822)/4
Let 4*g**5/5 - 27596*g**4/5 + 137904*g**3/5 - 165456*g**2/5 = 0. Calculate g.
0, 2, 3, 6894
Factor -w**2/3 - 57733*w/3 + 70599338/3.
-(w - 1198)*(w + 58931)/3
Factor 2*p**2/7 + 670804*p.
2*p*(p + 2347814)/7
Let 2500*i**4 + 47287600*i**3 + 1889676*i**2 - 34500384*i + 10895040 = 0. What is i?
-18915, -1, 12/25
Factor 2*y**4/5 - 888474*y**3/5 - 2665434*y**2/5 - 2665438*y/5 - 177696.
2*(y - 444240)*(y + 1)**3/5
Suppose y**3/7 + 645*y**2/7 + 28908*y/7 + 21492 = 0. Calculate y.
-597, -42, -6
Suppose -4*a**3 + 23492*a**2 + 5644800*a - 142476558336 = 0. What is a?
-2191, 4032
What is x in x**5/6 - 79*x**4/2 - 583*x**3/6 + 82793*x**2/6 - 27149*x + 40460/3 = 0?
-20, 1, 17, 238
Suppose -3*q**5 - 1176*q**4 + 78453*q**3 - 618474*q**2 + 541200*q = 0. What is q?
-451, 0, 1, 8, 50
Suppose b**4/7 - 2993*b**3/7 + 668729*b**2/7 - 1316527*b/7 - 1988250/7 = 0. Calculate b.
-1, 3, 241, 2750
Suppose 5*y**4/2 - 142895*y**3/2 - 1143405*y**2/2 - 2144025*y/2 = 0. Calculate y.
-5, -3, 0, 28587
Find x such that 4*x**4 - 17120*x**3 - 5053652*x**2 + 20488272*x = 0.
-281, 0, 4, 4557
Factor 2*u**2 + 289892*u + 579776.
2*(u + 2)*(u + 144944)
Factor -9*x**2 - 5032*x/7 + 1908.
-(7*x - 18)*(9*x + 742)/7
Suppose -525207*b**2 - 3676227*b + 1554 = 0. Calculate b.
-7, 74/175069
Let 23*d**3 - 115663*d**2 - 135806*d - 20120 = 0. Calculate d.
-1, -4/23, 5030
Suppose 42*d**4 + 894261*d**3 + 3511626*d**2 - 19031409*d + 1341144 = 0. Calculate d.
-21288, -7, 1/14, 3
Factor -15*v**2/4 + 8121714*v - 3248685.
-3*(v - 2165790)*(5*v - 2)/4
Factor p**2/7 - 3396189*p/7 + 16980920/7.
(p - 3396184)*(p - 5)/7
Factor z**2/5 + 1202618*z/5 + 1202617/5.
(z + 1)*(z + 1202617)/5
Find n, given that -2*n**3/3 - 4365680*n**2/3 + 61119814*n/3 - 71306564 = 0.
-2182854, 7
Factor 5*j**5 + 2985*j**4 + 541800*j**3 + 26958420*j**2.
5*j**2*(j + 81)*(j + 258)**2
Factor -4*x**3 + 1067200*x**2 - 71186508608*x + 569423770112.
-4*(x - 133396)**2*(x - 8)
Factor -4*d**2/7 + 43332*d/7 - 16291080/7.
-4*(d - 10443)*(d - 390)/7
Solve s**5 + 821*s**4 + 199191*s**3 + 12191587*s**2 + 87435548*s + 127685172 = 0.
-367, -79, -6, -2
Factor 49*m**4/2 - 42224*m**3 + 15864368*m**2 + 2006194944*m + 55308719232.
(m + 52)**2*(7*m - 6396)**2/2
Suppose 2*d**4 + 4374*d**3 + 984294*d**2 - 1981718*d + 993048 = 0. What is d?
-1932, -257, 1
Factor j**2/2 - 29016*j + 638231/2.
(j - 58021)*(j - 11)/2
Let -r**3/6 - 316*r**2/3 + 16005*r/2 - 131625 = 0. Calculate r.
-702, 25, 45
Factor k**3 - 8648530*k**2 + 34594107*k - 25945578.
(k - 8648526)*(k - 3)*(k - 1)
Suppose -4*i**4/5 + 227813*i**3/5 - 831234*i**2 - 4839629*i/5 + 1753598 = 0. Calculate i.
-2, 1, 77/4, 56935
Solve -18*q**3 + 68379*q**2 + 972273*q + 160146 = 0.
-14, -1/6, 3813
Factor 357*i**2/5 + 20537148*i/5 + 517743/5.
3*(i + 57527)*(119*i + 3)/5
Find f, given that -5*f**2 + 222700*f = 0.
0, 44540
What is p in 4*p**2 + 264564*p + 2380752 = 0?
-66132, -9
Determine g so that 4*g**3 + 674252*g**2 - 4720352*g - 66079440 = 0.
-168570, -7, 14
Factor 2*y**2/11 + 4776*y/11 + 855270/11.
2*(y + 195)*(y + 2193)/11
Determine m so that m**2/7 + 304978*m/7 - 914943/7 = 0.
-304981, 3
Solve 196*s**3/3 - 14449792*s**2/3 - 8257072*s/3 - 1179584/3 = 0.
-2/7, 73724
Solve 4*c**4 + 14840*c**3 - 736212*c**2 + 2074968*c = 0 for c.
-3759, 0, 3, 46
Find z, given that -2*z**2/9 + 14876*z/9 - 1914434/9 = 0.
131, 7307
Factor k**4/4 + 13624*k**3 + 381423*k**2/4.
k**2*(k + 7)*(k + 54489)/4
Factor -5*k**4 + 2150*k**3 - 345785*k**2 + 24651900*k - 657345780.
-5*(k - 117)**2*(k - 98)**2
Determine b so that 3*b**5/2 - 525*b**4/2 - 21873*b**3/2 + 419493*b**2/2 - 548793*b + 350244 = 0.
-47, 1, 2, 12, 207
Factor 3*f**2 + 2028*f + 342144.
3*(f + 324)*(f + 352)
Solve -5*d**4 - 62675*d**3 - 1439095*d**2 - 2690185*d - 1313760 = 0.
-12512, -21, -1
Suppose -2*n**3/7 + 81352*n**2/7 - 121010680*n + 57197033600 = 0. Calculate n.
496, 20090
Find z, given that 2*z**2 + 257705116*z + 8301490851571682 = 0.
-64426279
Solve 732050*b**5/9 - 15465010*b**4/9 - 110069602*b**3/9 - 54626306*b**2/3 + 2433824*b - 77976 = 0 for b.
-3, 38/605, 27
Find b such that 2*b**3 - 51422296*b**2 + 330531617161242*b - 661063028633316 = 0.
2, 12855573
Factor 3*l**3/2 - 129600*l**2 + 5603641551*l/2 - 106282129377.
3*(l - 43181)**2*(l - 38)/2
Determine i so that i**4 + 30497*i**3/3 - 3390*i**2 - 40664*i/3 = 0.
-10166, -1, 0, 4/3
Factor -2*j**2/19 - 77266*j/19 + 2242396/19.
-2*(j - 29)*(j + 38662)/19
Let 98*v**3/17 - 37394658*v**2/17 - 32052618*v/17 - 6868422/17 = 0. Calculate v.
-3/7, 381579
Suppose -3*a**5/8 - 99*a**4/2 + 2265*a**3/4 + 25659*a**2/2 + 97713*a/8 = 0. What is a?
-141, -11, -1, 0, 21
Suppose -y**2/5 + 97982*y - 12000590405 = 0. What is y?
244955
Factor b**3 + 5456*b**2 - 241532*b + 2574000.
(b - 26)*(b - 18)*(b + 5500)
Factor 4*w**2 + 2253072*w - 18024832.
4*(w - 8)*(w + 563276)
Factor -4*y**3 - 491664*y**2 - 5899536*y - 17698176.
-4*(y + 6)**2*(y + 122904)
Solve i**2/4 - 9601*i/4 - 12514311/2 = 0.
-2133, 11734
Factor -3*n**2 - 4640640*n - 4640637.
-3*(n + 1)*(n + 1546879)
Determine a so that -19*a**3/4 - 16379*a**2/2 + 132190591*a/4 + 6957581/2 = 0.
-3637, -2/19, 1913
Determine h so that 3*h**4 - 519*h**3 + 8388*h**2 + 1424004*h - 5797776 = 0.
-43, 4, 106
Factor -d**2/6 - 16422684*d - 404556824645784.
-(d + 49268052)**2/6
Factor 3*a**3 + 16255917*a**2 - 32511843*a + 16255923.
3*(a - 1)**2*(a + 5418641)
Suppose -14*j**4 - 231439*j**3 + 1306459*j**2 + 595296*j - 595332 = 0. What is j?
-16537, -6/7, 1/2, 6
Suppose -s**5/8 + 9*s**4/2 + 174479*s**3/8 + 348747*s**2/4 + 217925*s/2 + 43581 = 0. Calculate s.
-398, -2, -1, 438
Suppose b**2 - 18263060*b + 83384840140900 = 0. What is b?
9131530
Let -221952*k**3 - 32625312*k**2 + 239901*k - 441 = 0. What is k?
-147, 1/272
Let -4*x**4 - 212*x**3 + 20280*x**2 + 1147136*x + 4251520 = 0. Calculate x.
-70, -52, -4, 73
Factor 3*f**2/5 + 3457923*f/5.
3*f*(f + 1152641)/5
Determine b so that 3*b**4/4 + 9*b**3/2 - 444*b**2 - 6696*b - 24192 = 0.
-16, -12, -6, 28
Let -10*q**4 - 1536806*q**3 + 28279734*q**2 - 135562194*q + 49798476 = 0. What is q?
-153699, 2/5, 9
Suppose 2*t**4/9 - 5288*t**3/9 + 10562*t**2/9 + 5284*t/3 = 0. What is t?
-1, 0, 3, 2642
Find j, given that -j**3/5 + 892*j**2 + 636881*j/5 + 2189124 = 0.
-119, -20, 4599
Factor -4*c**2 - 31479860*c + 409238856.
-4*(c - 13)*(c + 7869978)
Let t**2 + 7117444*t + 64056915 = 0. What is t?
-7117435, -9
Determine q, given that 2*q**2 - 2021370*q + 48511728 = 0.
24, 1010661
Find y such that y**4 + 13052*y**3 + 52189*y**2 - 39162*y - 234864 = 0.
-13048, -3, 2
Suppose 4*z**4 + 100*z**3 - 2568*z**2 - 63200*z - 206336 = 0. What is z?
-31, -16, -4, 26
Let -y**3/4 - 333695*y**2/2 - 111352353025*y/4 = 0. Calculate y.
-333695, 0
What is o in 32*o**4 - 34103440*o**3 + 17051714*o**2 - 2131464*o = 0?
0, 1/4, 1065732
Determine l so that -3*l**3 + 35349*l**2 - 109049325*l + 28635283803 = 0.
289, 5747
Let -4*k**5/7 - 31956*k**4/7 - 318536*k**3/7 + 712264*k**2 + 55476300*k/7 + 50203868/7 = 0. Calculate k.
-7979, -11, -1, 13
Solve -20*k**5/3 + 19304*k**4 - 13539984*k**3 - 627227424*k**2 - 9070064640*k - 42319065600 = 0.
-102/5, -12, 1470
Let -2*r**4 - 1198*r**3 - 212396*r**2 - 11850432*r - 11639232 = 0. Calculate r.
-334, -132, -1
Let -3*n**3/5 - 316063*n**2/5 - 1053513*n/5 - 316053/5 = 0. Calculate n.
-105351, -3, -1/3
Suppose 4*c**4 - 1420*c**3 - 1002532*c**2 + 2009308*c - 1005360 = 0. What is c?
-355, 1, 708
Factor -3*f**3 - 8674506*f**2 - 6270579187488*f + 12541193073024.
-3*(f - 2)*(f + 1445752)**2
Solve 2*o**5/5 + 938*o**4 + 618508*o**3 + 125553900*o**2 + 249256026*o + 621598482/5 = 0 for o.
-1401, -471, -1
Factor -x**2/4 + 92983781*x/2 - 8645983529055961/4.
-(x - 92983781)**2/4
Determine n so that -n**3/2 - 961*n**2/2 + 188503*n + 1148208 = 0.
-1259, -6, 304
Factor -3*k**3/8 - 6621*k**2/2 - 15447315*k/2 - 1815216876.
-3*(k + 264)*(k + 4282)**2/8
Factor 171049158405*i**3 + 684189235260*i**2 - 29593360*i + 320.
5*(i + 4)*(184959*i - 4)**2
Factor 4*m**2 + 4723604*m - 9447224.
4*(m - 2)*(m + 1180903)
Factor -2*f**4 - 2110*f**3 - 150612*f**2.
-2*f**2*(f + | {
"pile_set_name": "DM Mathematics"
} |
Is 21 a factor of c?
False
Suppose -2*n + 120 = 4*v, 0*n = 4*n + 3*v - 230. Is 14 a factor of n?
True
Let s(o) = 5*o**3 - o**2 - o - 2. Let h be s(-2). Suppose 0 = 2*x + 3*x - 345. Let w = x + h. Is 12 a factor of w?
False
Let m = 5 + -80. Let j = -45 - m. Is 10 a factor of j?
True
Suppose -4*k = 16, 2*j - j + 3*k + 19 = 0. Let v = j - -21. Does 12 divide v?
False
Let j be (-56)/6*(-45)/3. Let v be 5*(20/(-25) - -2). Suppose f = v*f - j. Is f a multiple of 18?
False
Let w = 116 - 70. Suppose 4*h + 4*k - w - 30 = 0, -3 = k. Is h a multiple of 10?
False
Let u(y) = -5 - 4 - 2*y - 2*y. Is 5 a factor of u(-6)?
True
Suppose 1 = -2*s + s - q, 0 = -5*s - 3*q + 1. Is 4 a factor of (1 + 0)/(s/20)?
False
Let c(t) = t**3 - 8*t**2 + 10*t - 1. Is c(7) a multiple of 3?
False
Let d(a) be the second derivative of -a**5/20 + a**4/2 + 4*a**3/3 + 3*a**2/2 + 3*a. Does 3 divide d(7)?
False
Let l = -29 + 17. Is 26/6 + (-8)/l a multiple of 4?
False
Suppose -40 = 3*j - 8*j. Does 8 divide j?
True
Let b be (-10)/20*2*-15. Suppose 0 = t + b - 41. Does 8 divide t?
False
Suppose -3*b = b - 2*k - 122, -3*b - 5*k = -111. Let u = 64 - b. Is 8 a factor of u?
True
Let a(m) be the first derivative of -m**4/4 + m**3 + 3*m**2/2 + 8*m - 1. Let h be a(6). Is 4/(-10) - h/5 a multiple of 14?
False
Let m(o) = 2*o**2 - 3*o + 5. Let s be m(4). Let h = 2 + s. Is 9 a factor of h?
True
Suppose 0 = -5*v + 83 + 22. Does 7 divide v?
True
Let g(v) = 6*v - 2. Suppose -3*x - 7 = o - 2*o, -3*o - x = -21. Let c = o - 3. Does 11 divide g(c)?
True
Let a(d) = -d**3 - 8*d**2 + d + 7. Let l be (-2)/(2 - (-14)/(-8)). Let p be a(l). Let o(i) = -3*i**3 + 2*i**2 + 2*i + 1. Is o(p) even?
True
Let h = 238 - -1. Does 28 divide h?
False
Let x = 106 - 70. Is x a multiple of 22?
False
Suppose 4*d + 2*q = -174, -d + 5*d - 5*q = -139. Let o(u) = -u**3 - 8*u**2 + 16*u + 22. Let m be o(-10). Let k = d + m. Is k a multiple of 6?
False
Let s(l) = l**2 - 3*l + 3. Suppose 2*g - 3*g - 5*r + 25 = 0, -5*g = 5*r - 45. Does 11 divide s(g)?
False
Is (-16)/12*(-234)/4 a multiple of 26?
True
Is 25 a factor of -5*4/(-40)*398?
False
Does 25 divide 2*(-4)/(-16)*50?
True
Let b be (-644)/(-6) - (-7)/(-21). Suppose 5 = 4*f - b. Is f a multiple of 14?
True
Let u = 4 + -2. Let z be (-4)/(-10) - 356/(-10). Let o = z - u. Does 15 divide o?
False
Is 12 a factor of (-1 - -25)*20/16?
False
Let v(q) be the second derivative of -q**3/2 - 6*q**2 - 2*q. Is 2 a factor of v(-5)?
False
Suppose 0*s + 20 = s. Suppose s = -4*n + 104. Is 7 a factor of n?
True
Suppose -k = 2*k - 72. Suppose -5*v + k = -4*v + t, -5*t - 56 = -3*v. Is v a multiple of 22?
True
Suppose 0 = 2*j - 4*v - 48, -j + v + 16 = 3*v. Does 20 divide j?
True
Let j = 5 + 18. Does 5 divide j?
False
Let k be 1*(24 - (-2 + 4)). Let t = k - 10. Is t a multiple of 5?
False
Let a = 19 - 28. Let v = 13 + a. Let l = 6 + v. Is l a multiple of 5?
True
Is 20 a factor of (-2829)/(-23) - -1*1?
False
Let t be 3 + (1 - 10) - 4. Let s(c) = c**3 + 6*c**2 - 7. Let n be s(-5). Let m = n + t. Is m a multiple of 4?
True
Suppose -2*z + 70 = 2*w, -z + 4*z - 3*w - 111 = 0. Is 18 a factor of z?
True
Is 5 a factor of -2 + 96/54 + (-362)/(-9)?
True
Let z(g) = 3*g**2 + 3*g + 1. Let v(t) = -t - 7. Let y be v(-3). Does 15 divide z(y)?
False
Let c(s) = -7*s**3 - s**2 - s - 1. Let m be c(-1). Let o = 2 + m. Does 2 divide o?
True
Let g = -28 - -27. Is 12/4 - (g - 21) a multiple of 5?
True
Suppose 0 = 2*o + 2*o - 2*y + 20, -3*o = -4*y + 15. Is 24/(-20)*o/2 a multiple of 3?
True
Suppose -2*g = u + 130, -702 = 5*u + 2*g - 5*g. Does 13 divide 2/2 + u/(-3)?
False
Let r(w) = 145*w**2 + 6*w - 2. Is 20 a factor of r(1)?
False
Suppose 2*b + 80 = -4*x, -4*x + b + 2*b = 80. Let q be (-2804)/x + (-1)/5. Suppose q = 6*d - d. Does 14 divide d?
True
Let k = 225 - 39. Does 35 divide k?
False
Is ((-154)/(-44))/(2/28) a multiple of 7?
True
Let q(w) = -w - 7. Let j be q(-7). Suppose j*k - 2*k = 2*y - 48, -9 = 3*k. Let u = y - 3. Is u a multiple of 12?
True
Let n(s) = -s**3 - 5*s**2 - 7*s - 5. Suppose -g - 1 = 2*j - j, -14 = 2*g - 2*j. Is 7 a factor of n(g)?
True
Does 4 divide 3/9*(72 - -3)?
False
Let j(s) = 41*s - 1. Is j(6) a multiple of 44?
False
Is 6/2 + 19*(4 - -1) a multiple of 7?
True
Let r(p) = -p - 7. Let q be r(8). Let m = q + 35. Is 8 a factor of m?
False
Let h(o) = -o**3 + 4*o**2 + 6*o - 5. Let q be h(4). Let t = 9 + q. Does 14 divide t?
True
Let s(m) = 3*m**3 - 2*m**2 + m - 2. Let h be s(2). Let u = -7 + h. Suppose -t = i - 11, 4*t = 3*i - 52 - u. Does 15 divide i?
True
Let j = -7 + 10. Let r be ((-6)/1)/(j - 2). Let m(q) = q**3 + 6*q**2 - 4*q + 6. Is 15 a factor of m(r)?
True
Let x be (-24)/(-10) + 2/(-5). Suppose 5*a - a = x*k + 106, -a - 3*k + 23 = 0. Is 13 a factor of a?
True
Let p = -38 - -41. Is 2 a factor of p?
False
Let s be -5*(0 - -2)/(-2). Suppose -5*h + 2*n - s*n = -166, -2*h = -3*n - 58. Is h a multiple of 16?
True
Suppose 3*a - 4*o - o - 14 = 0, 5 = o. Let s = 17 - a. Is s even?
True
Let r = 88 + -40. Is r a multiple of 14?
False
Suppose -131 = -10*q - 11. Is 4 a factor of q?
True
Let c(x) = -6 - 1 + 2 + 14*x + 4. Is 15 a factor of c(3)?
False
Suppose 0 = -3*x + 28 + 323. Does 39 divide x?
True
Let t(g) = 3*g**2 - 2*g - 1. Is t(2) a multiple of 4?
False
Suppose -f = -g + 33, 0*g + g - 5*f = 29. Is 34 a factor of g?
True
Let l(j) = 7*j**2 - 7*j + 2. Is 30 a factor of l(6)?
False
Let o(u) = -20*u**2 + 4*u - 2. Let c(v) = 7*v**2 - v + 1. Let s(k) = 17*c(k) + 6*o(k). Suppose -q = 4*g - 29, -4*q = -25 + 5. Does 11 divide s(g)?
True
Suppose 0*m - 4*m + 41 = 3*a, 0 = 5*a + m - 74. Does 2 divide a?
False
Let w be (6 - 5)/((-2)/(-8)). Let z = w - -9. Is z a multiple of 4?
False
Suppose 2*b - 9 - 1 = 0. Let m = b - 2. Suppose 0 = -m*n + 2*n + 9. Is 9 a factor of n?
True
Suppose -68 = -4*d - 4*v, -2*d - 4*v + 20 + 18 = 0. Does 10 divide d?
False
Suppose -5*z + 50 = 5*b, b - 10 = -3*z + 2*b. Let h be ((-13)/z)/((-1)/5). Suppose s + h = 2*s. Is 8 a factor of s?
False
Suppose -n - 12 = -5*r, 2*n = -2*r - 0*r + 12. Is 14 a factor of -2 + 4 + 9*r?
False
Suppose 10 = 2*u + 3*u. Suppose 0 = 5*z + 3*n - 135, 5*z + u*n = 137 + 3. Does 20 divide z?
False
Let y be (-7)/(2 - (-3)/(-3)). Let q(t) = 2*t**2 + 9*t - 8. Let n be q(y). Is 1*2/3*n a multiple of 9?
True
Is 28/(-5)*(-150)/20 a multiple of 9?
False
Let h be 5/2*72/45. Does 27 divide (-3)/h + 111/4?
True
Suppose w - 6*w - 5*i + 455 = 0, -4*i - 20 = 0. Does 24 divide w?
True
Is 224/40*-3*20/(-6) a multiple of 7?
True
Suppose 2*c + 2 + 0 = 0. Is -5 + 4 - (-34 - c) a multiple of 8?
True
Suppose 0 = -2*i + 11 + 23. Is 9 a factor of i?
False
Does 21 divide (-2)/(4/6) + (129 - 2)?
False
Suppose -3*o = -4*z - 36, -20 = -7*o + 2*o. Does 6 divide (56/z)/(1/(-3))?
False
Let i = 178 - 115. Is (-2)/(-7) + 486/i a multiple of 8?
True
Suppose -6 - 4 = -2*r. Is r a multiple of 5?
True
Let t = -8 + 11. Let l be (-583)/(-9) - (-8)/36. Suppose -5*q + l = 3*c, 3*c + 4*q - 61 = t*q. Does 20 divide c?
True
Suppose 2*m + 260 = 6*m. Is m a multiple of 7?
False
Is 27 a factor of ((-15)/(-45))/((-1)/(-759))?
False
Suppose -s = -5 + 21. Is (-379)/(-4) + (-4)/s a multiple of 27?
False
Suppose 14*j + 0*j = 1512. Does 27 divide j?
True
Let k(p) = -8*p**3 + p**2 + 11*p**2 - 16 + 10*p**3 + 3*p - 3*p**3. Is 6 a factor of k(12)?
False
Suppose 5*z = 239 - 49. Does 11 divide z?
False
Suppose 0 = -o - 2 - 3. Let s(b) = -2*b**3 - 6*b**2 + 4*b + 7. Is s(o) a multiple of 22?
False
Let o(l) = l**2 + l + 1. Let s be o(-1). Let r be s + 0 + -2 - -2. Does 2 divide 1 + 2/r + 3?
True
Let i(w) = 13*w + 1. Let a be i(-2). Is 11 a factor of ((-30)/a)/((-1)/(-30))?
False
Let c(o) = -o**3 - 7*o**2 - 6*o - 4. Let n be c(-6). Let u be 255/(-35) - n/14. Let i = 14 + u. Is 5 a factor of i?
False
Let x = -34 + 65. Suppose -5*o + 0*o = 0. Suppose o = u - 10 - x. Is 19 a factor of u?
False
Suppose 4*q = 6*q. Suppose 0 = -2*b + 2*y - 114, q = 4*b + 4*y + 180 + 32. Let u = -29 - b. Is 11 a factor of u?
False
Suppose 4*v - 129 = i, 4*v - 2*i = 132 - 2. Is v a multiple of 9?
False
Suppose 0 = 4*n + 5*z - 87 - 93, 5*z = 20. Suppose q = 0, -3*q + n + 25 = 5*w. Is w a multiple of 9?
False
Is -5*6*20/(-15) a multiple of 11?
False
Let n(d) = 7*d**2 + 2*d + 2. Let c be n(-2). Let q = c + -7. Does 19 divide q?
True
Let r = -5 + 13. Suppose 4 | {
"pile_set_name": "DM Mathematics"
} |
375. Suppose 37*h - 29*h = 16. Let l(n) = -n**3 - 105*n**2 - 440*n - 750. Let j(w) = h*l(w) + 5*b(w). Factor j(i).
3*(i + 5)**3
Let w be (-14)/(-70) - (2 + (-194)/80). Let k(l) be the first derivative of 24 + w*l**4 - 1/2*l + 11/12*l**3 - 1/8*l**2. Suppose k(q) = 0. Calculate q.
-1, -1/2, 2/5
Let p(x) be the second derivative of -x**7/630 + 8*x**6/45 - 31*x**5/30 - 71*x**4/3 + 5*x - 5. Let i(t) be the third derivative of p(t). Factor i(o).
-4*(o - 31)*(o - 1)
Solve 228*t**3 + 40804 - 22*t**3 - 6766*t**2 + t**4 + 7093*t**2 + 24437*t + 10686*t**2 + 17175*t = 0 for t.
-101, -2
Factor -28*h**2 + 2/17*h**3 + 0 + 1410/17*h.
2*h*(h - 235)*(h - 3)/17
Suppose -n + f + 4 = 0, -38 = 5*f - 13. Let x = n - -3. Find z such that z - 2*z**3 + 9*z**x - 4*z + 7*z**2 - 29*z = 0.
0, 4
Let u(a) be the third derivative of 2*a**2 + 0*a**4 + 0*a**3 + 10*a + 1/20*a**5 + 0 + 1/672*a**8 - 1/70*a**7 - 1/240*a**6. Suppose u(x) = 0. What is x?
-1, 0, 1, 6
Let r be (-1)/(2/2)*13. Let o(t) = t**2 + 14*t + 15. Let d be o(r). Solve 35*n**d + 2*n - 2*n + 4*n**3 - 39*n**2 = 0.
0, 1
Let m(r) be the first derivative of -r**5/4 - 25*r**4/2 - 375*r**3/2 - 74*r - 81. Let b(z) be the first derivative of m(z). Factor b(d).
-5*d*(d + 15)**2
Let b(x) be the third derivative of 22*x**5/15 - x**4/6 - 14*x**3 - 7144*x**2. Factor b(u).
4*(u - 1)*(22*u + 21)
Let o be 40/(-30)*(2 - 20). Determine m, given that 34*m + 21*m**2 + o*m**3 - 7*m**2 - 11 + 29 - 26*m**3 = 0.
-1, 9
Let p(b) = b**3 - 3*b**2 + 2*b - 1. Let i be p(3). Factor -124 + a**2 + a**4 + a**2 + a**2 + 5*a**3 + 120 - i*a.
(a - 1)*(a + 1)**2*(a + 4)
Let s be (-42)/(-30) + (-27)/(-45) - (-141)/(-72). Let b(w) be the second derivative of 17*w - 1/12*w**3 + 1/2*w**2 - s*w**4 + 0. Factor b(y).
-(y - 1)*(y + 2)/2
Factor -5*d**4 + 15*d**2 + 261*d**3 - 535*d + 398*d**3 + 350 - 484*d**3.
-5*(d - 35)*(d - 1)**2*(d + 2)
Let c be (-24)/(-40) + 2*5086/(-20). Let k = 512 + c. Let -17/3*b - 23/3*b**3 - 1 - 2*b**k - 31/3*b**2 = 0. What is b?
-3/2, -1, -1/3
Let r(w) be the first derivative of w**4/12 + 52*w**3/3 + 960*w**2 - 25600*w/3 + 2055. Let r(i) = 0. What is i?
-80, 4
Let l(b) be the first derivative of -9*b**4/4 + 25*b**3 + 189*b**2 + 216*b + 913. Factor l(u).
-3*(u - 12)*(u + 3)*(3*u + 2)
Let o(k) = 7*k**4 - 147*k**3 + 5324*k**2 + 5480*k - 2. Let n(l) = 17*l**4 - 294*l**3 + 10646*l**2 + 10962*l - 5. Let u(z) = -2*n(z) + 5*o(z). Factor u(h).
h*(h - 74)**2*(h + 1)
Let p(r) = -63*r - 40. Let y be p(-4). Factor -33124 + y*b - 624*b**2 + 620*b**2 - 613*b - 327*b.
-4*(b + 91)**2
Let -7301 - 7403 + 23*k**2 - 204*k - 20*k**2 + 10672 = 0. What is k?
-16, 84
Find s such that -s**2 + 1071648 - 829*s - 2702*s + 3*s**2 + 603*s = 0.
732
Let c(x) = -5*x**2 - 702*x. Let d(i) = -4*i**2 - 739*i. Let z(f) = -3*c(f) + 4*d(f). Let z(l) = 0. Calculate l.
-850, 0
Let i be -7*(-795)/(-315) + 18. Let b be (-6)/21 - (-68)/42. Solve -b + 5/3*x**2 + x - x**3 - i*x**4 = 0 for x.
-4, -1, 1
Suppose 0*h = -3*h + 12, q = 5*h - 18. Suppose 7*u**3 - 4*u**3 + 13 - 4 + 15*u**q - 124*u + 145*u = 0. What is u?
-3, -1
Suppose 0 = 172*w - 176*w - 224. Let t(l) = l**2 + 61*l + 283. Let y be t(w). Determine s, given that 1/3*s**2 + 1/6*s**4 - 1/2*s**y + 0 + 0*s = 0.
0, 1, 2
Let w be ((-40752)/(-47544))/((-3)/((-210)/38)). Solve -w*x + 12/19*x**2 + 16/19 + 2/19*x**3 = 0 for x.
-8, 1
Let p(t) = 10*t**3 + 265*t**2 + 35*t - 265. Let n(i) = -15*i**3 - 397*i**2 - 57*i + 397. Let l(f) = 5*n(f) + 8*p(f). Factor l(h).
5*(h - 1)*(h + 1)*(h + 27)
Let u(s) be the second derivative of s**4/66 - 742*s**3/33 - 743*s**2/11 - 4274*s. Let u(k) = 0. Calculate k.
-1, 743
Let n(y) be the second derivative of -y**4/12 - 2*y**3 + 14*y**2 - 1314*y. Factor n(p).
-(p - 2)*(p + 14)
What is t in -59/2*t**2 - 39/4*t - 3/4*t**3 + 0 = 0?
-39, -1/3, 0
Suppose -72*w**2 + 829*w**3 - 93*w - 412*w**3 - 413*w**3 + 21 - 151*w - 189 = 0. Calculate w.
-2, -1, 21
Let o(j) be the first derivative of 15 - j**4 - 8/3*j**3 + 8*j**2 + 12*j. Let n(u) be the first derivative of o(u). Factor n(q).
-4*(q + 2)*(3*q - 2)
Let q(j) be the second derivative of j**4/20 - 223*j**3/10 - 2061*j**2/5 + 2438*j. Factor q(v).
3*(v - 229)*(v + 6)/5
Let i(h) = -243*h**2 + h**3 + 490*h**2 - 1 - h - h**4 - 247*h**2. Let k(c) = 15*c**4 + 72*c**2 + 96*c + 45. Let r(p) = 18*i(p) + k(p). Factor r(d).
-3*(d - 9)*(d + 1)**3
What is p in 31*p**3 + 0 - 5/2*p**5 + 0*p + 97/2*p**4 - 20*p**2 = 0?
-1, 0, 2/5, 20
Let a(g) be the third derivative of 0*g - 1/105*g**5 - 6728/21*g**3 + 0 - 58/21*g**4 - 190*g**2. Find c such that a(c) = 0.
-58
Find v, given that 1156*v + 0 - 1/4*v**4 - 135/4*v**3 - 1122*v**2 = 0.
-68, 0, 1
Let w(k) be the first derivative of 2*k**6/3 + 12*k**5/5 - 2*k**4 - 16*k**3 - 16*k**2 - 175. Solve w(i) = 0.
-2, -1, 0, 2
Let v(o) be the third derivative of -o**6/120 + 3*o**5/20 + o**4/24 - 7*o**3/6 - o**2 - 7. Let p be v(9). Solve 0 + 0*a - 1/2*a**3 - a**p = 0.
-2, 0
Factor -1/2*z**3 - 133/2 + 1/2*z + 133/2*z**2.
-(z - 133)*(z - 1)*(z + 1)/2
Let -512/3*l + 2/3*l**4 + 0*l**3 - 160 - 48*l**2 = 0. What is l?
-6, -2, 10
Factor 28 + 48*z**2 + 173 + 51 - 27*z + 282*z.
3*(z + 4)*(16*z + 21)
Let h(c) = 7*c**4 + 2*c + 1. Let m(z) = -38*z**4 + 16*z**3 - 48*z**2 - 140*z + 250. Let p(b) = -6*h(b) - m(b). Solve p(i) = 0.
-4, 2
Let l be (28 - (-756)/(-21) - 192/(-25))*5/(-4). Factor -m**3 + l*m + 0 - 9/10*m**2 + 3/10*m**4.
m*(m - 4)*(m + 1)*(3*m - 1)/10
Let r(m) be the third derivative of m**7/210 - 7*m**6/24 - m**5/20 + 103*m**4/24 + 35*m**3/3 + 9*m**2 - 70*m. Suppose r(a) = 0. What is a?
-1, 2, 35
Suppose 5*x = 5*s + 30, -2*x + 4*s - 8*s = -36. Factor 5*y + 10 - 10*y + 4*y**2 + 15*y**3 - 9*y**2 - x*y - 5*y**4.
-5*(y - 2)*(y - 1)**2*(y + 1)
Let u(v) be the third derivative of -v**6/24 - 47*v**5/60 - 3*v**4/4 - 13*v**2 + 66. Factor u(x).
-x*(x + 9)*(5*x + 2)
Let t(x) be the second derivative of 1/150*x**6 + 361/5*x**4 + 0*x**2 + 27436/15*x**3 + 57/50*x**5 - 236 + x. Factor t(j).
j*(j + 38)**3/5
Factor 6/7*u**2 - 282/7*u - 286/7 + 2/7*u**3.
2*(u - 11)*(u + 1)*(u + 13)/7
Let p be (48/35 + 0)*51750/8280. What is w in 33/7*w**3 + p + 21*w + 117/7*w**2 + 3/7*w**4 = 0?
-5, -4, -1
Suppose -195 = -3*m + g - 4050, g = 5*m + 6425. Let a = m - -1285. Solve -3/8*t**3 + 0*t + a*t**2 + 1/8*t**4 + 0 = 0.
0, 3
Let p(s) be the third derivative of -196/51*s**3 - 14/17*s**4 + 9/170*s**5 + 2*s + 0 + 79*s**2 - 1/1020*s**6. Determine g, given that p(g) = 0.
-1, 14
Let u(o) be the third derivative of o**8/1008 + 23*o**7/315 + 161*o**6/180 + 35*o**5/9 + 613*o**4/72 + 95*o**3/9 - 2*o**2 + 257*o - 5. Factor u(x).
(x + 1)**3*(x + 5)*(x + 38)/3
Let u = 11155 + -11155. Let q(o) be the third derivative of u + 0*o - 1/60*o**5 - 5/6*o**3 - 18*o**2 + 1/4*o**4. Factor q(g).
-(g - 5)*(g - 1)
Let q = -29 - -29. Let g = -165767/6 + 27629. Suppose -2*r + 8/3*r**2 - g*r**3 + q + 1/6*r**4 = 0. Calculate r.
0, 2, 3
Suppose -4*g - q + 23 = 0, -5*g + 3*q + 15 = -35. Let f be 5 + (-8 - -4) + 3/g. Suppose -2/7*i**2 + f*i - 8/7 = 0. What is i?
1, 4
Let j = -5 + 20. Suppose -12*l - 6 = -j*l. Let 3*h + 35*h - 2*h - 13 + 3*h**3 + 18*h**l + 37 = 0. What is h?
-2
Let y(a) = -134*a - 804. Let r be y(-6). Let f(n) be the second derivative of 5/9*n**3 + 25/6*n**2 + 1/36*n**4 + 16*n + r. Factor f(w).
(w + 5)**2/3
Let i(m) be the first derivative of 10 - 6/7*m**2 + 2/105*m**6 + 4*m + 0*m**5 - 16/21*m**3 - 2/7*m**4. Let a(p) be the first derivative of i(p). Factor a(z).
4*(z - 3)*(z + 1)**3/7
Suppose 205304*r = 205314*r - 30. Factor -3888 - 106/3*x**r - 3240*x + 2/3*x**4 + 612*x**2.
2*(x - 18)**3*(x + 1)/3
Suppose -4*i + 3 = -o + i, 0 = -3*o + i + 5. Solve 40*b**5 + 22*b**2 + 223*b**2 - 12*b + 612*b**3 - 77*b**2 + 282*b**4 - 18 + 208*b**o = 0 for b.
-3, -1, -1/4, 1/5
Let g = 819 + 255. Let d = g + -1074. Solve d*v - 2/5*v**2 + 8/5 = 0.
-2, 2
Let r(s) be the first derivative of s**4/6 - 2*s**3 + 26*s**2/3 - 16*s - 1584. Factor r(a).
2*(a - 4)*(a - 3)*(a - 2)/3
Suppose -35*g = -30*g - 3190. Let f be 6/(-4) + 1073/g. Factor 8/11 + 8/11*q + f*q**2.
2*(q + 2)**2/11
Let n be -4 + (25 - 4) + -56*(-29)/(-116). Factor 0*l - 4*l**n - 4/3*l**4 + 0 + 16/3*l**2.
-4*l**2*(l - 1)*(l + 4)/3
Let w(b) be the second derivative of b**6/45 + 11*b**5/30 - 2*b**4/3 + 3*b - 219. Factor w(q).
2*q**2*(q - 1)*(q + 12)/3
Let r(i) = 20* | {
"pile_set_name": "DM Mathematics"
} |
at is the units digit of w?
2
Let u(h) = 3*h**3 + 11 - 4*h**3 + 2*h**3 + 10*h**2 + 2*h**2. What is the units digit of u(-12)?
1
Let f(y) be the first derivative of 2 + 7*y - 1/2*y**2. What is the units digit of f(0)?
7
Let l = 1 - -1. Let t be (15/(-6))/((-1)/l). Let q(i) = -i + 12. What is the units digit of q(t)?
7
Let c be 1/1 + (-12)/(-3). Let n(w) = c*w**2 + 0 + w**3 + w**2 - 5 - 8*w. What is the units digit of n(-7)?
2
What is the units digit of 55 - 0/2 - (-2 - -5)?
2
Let d = 3 - 5. What is the units digit of d/5 - (-44)/10?
4
Let q = 10 + -8. Suppose q*s - 56 = 10. What is the tens digit of s?
3
Suppose -5*q + 5*r = 10, 4*r = -4*q - 0*r + 24. Let s be (-2 - 9*q)*-1. Suppose 0 = -5*h - s + 105. What is the tens digit of h?
1
Suppose 7*w - 30 = 4*w. What is the tens digit of w?
1
Let i = 5 + -3. Let u be (3/i)/(6/(-8)). What is the units digit of (2 - 3) + u + 11?
8
Suppose -5*b + 220 = -0*b. What is the tens digit of b?
4
What is the hundreds digit of 906/4*4/6?
1
Suppose 0 = -2*i - 4*a + 22, -18 = -4*i + 2*i - 3*a. Let z(l) be the second derivative of -l**4/12 + l**3/2 + l**2 + l. What is the units digit of z(i)?
2
Let n(c) = c**3 - c + 9. Let z be n(0). Let b = -6 + z. Suppose 2*f + 2*q + 0 = 18, b*f = q + 27. What is the units digit of f?
9
Let v(w) = -w**2 + 7*w + 11. Let h(o) = o**2 + o - 4. Let b be h(3). Let g be v(b). Suppose n - f = -g*f - 8, -5*n + 35 = -5*f. What is the units digit of n?
2
Suppose 6*k + 3*j - 24 = 4*k, -3*k - j = -29. Suppose -q + k = 3. What is the units digit of (-3)/9 - (-92)/q?
5
Suppose -2*m = -2*u + 3 + 21, 0 = 3*u + 3*m - 66. Suppose -3*z + u = -22. What is the tens digit of z?
1
Let b = -76 - -160. What is the units digit of b?
4
Suppose 0 = -r - 0*r - 12. Let s be (-1)/((15/r)/5). Suppose -3*a + 1 = -2*c + 2, 3*c = -s*a + 27. What is the units digit of a?
3
Let p(r) be the first derivative of -r**4/4 - 7*r**3/3 - r**2/2 - r - 2. What is the units digit of p(-7)?
6
Let q(d) = -2*d**2 + 4*d - 3. Let i be q(2). Let u(s) = -s**2 - 3*s + 3. What is the units digit of u(i)?
3
Let s(r) = r**2 - r - 1. Let z be s(-1). Let l = z - 0. Suppose -2*v + 3*v = l. What is the units digit of v?
1
Let f(m) = -m. Let u be f(1). Let y be u - -6 - (-1 + 3). Suppose -5*o + 2*a = -13, y = -5*a - 17. What is the units digit of o?
1
Suppose -5*t = -3*c - 34, -3*c = 5*t - 2*c - 42. Suppose -2*l - t*j + 3*j + 14 = 0, -4*l + 28 = -3*j. What is the units digit of l?
7
Let k(h) = -35*h. What is the tens digit of k(-1)?
3
Suppose -w + 72 - 32 = 0. What is the units digit of w?
0
Suppose 8*s = 11*s - 6. Suppose 3*j - 36 = -3*x, s*x + 52 = 7*x + 3*j. What is the units digit of x?
8
Suppose 2*n = -3*n + 40. Suppose -7*z = -3*z - n. What is the units digit of z?
2
Let n = -10 + 19. Let v = 17 - n. What is the units digit of v?
8
Suppose k = -4*k. Let z = 2 - k. Suppose -z*b + 19 - 7 = 0. What is the units digit of b?
6
Let i(n) be the second derivative of n**5/20 - 7*n**4/12 - n**3 - n**2 + n. What is the units digit of i(8)?
4
Suppose -x + 34 = 2. Suppose g + p - 34 = 4*p, 47 = 3*g + 2*p. Let b = x - g. What is the units digit of b?
3
Let t(s) = -s**2 + 8*s + 7 - 2*s + s. Let u be t(7). Suppose -3*j - u = -28. What is the units digit of j?
7
Let d(p) = 7*p - 4. What is the tens digit of d(3)?
1
Let a(r) = -3*r**3 - r**2 - 2*r - 1. What is the units digit of a(-1)?
3
Let a(k) = 21*k - 5. What is the units digit of a(2)?
7
Suppose -f - 2 = 2, f + 934 = 5*w. What is the hundreds digit of w?
1
Let z(c) = -c + 14 + c - c. What is the units digit of z(0)?
4
Let z(b) = -6*b + 4. Let x be z(-6). Suppose h = -3*h - x. What is the units digit of 102/10 + 2/h?
0
Let z(s) = 2*s**3 - 6*s**2 + 3*s + 1. What is the hundreds digit of z(5)?
1
Let q(y) = -y**3 - 11*y**2 - 2*y + 1. What is the tens digit of q(-11)?
2
Let p(w) be the third derivative of -1/3*w**4 + 4/3*w**3 + 0 - 2*w**2 + 1/60*w**5 + 0*w. What is the units digit of p(7)?
1
Suppose w = 1 + 1. Suppose 0 = 2*f + 2*b + 4, -8 = -3*f + w*b + 2*b. Suppose f = -3*s + 6 + 15. What is the units digit of s?
7
Let g(t) = t**3 + t**2 + t. Suppose 0 = -m - m. Let v be g(m). Suppose 4*j - 2*b - 7 = -3*b, 2*j + 4*b = v. What is the units digit of j?
2
Suppose 2*j + 6 = 58. Let z = j - 18. What is the units digit of z?
8
Let u = 1 + 3. Suppose u*k = 3*g + 10 - 42, 2*g + 2*k - 26 = 0. What is the tens digit of g?
1
Let m = 2 + 0. Suppose -1 = 2*k - b, m*k + b + 6 = 3*b. Suppose 7 = 5*r + k. What is the units digit of r?
1
Suppose -2*y = -0*y. Suppose -2*i + y*i = 0. Let d = 3 + i. What is the units digit of d?
3
Let v(i) be the second derivative of i**5/20 + 5*i**4/12 - i**3/6 - i. Let y = 1 + -6. What is the units digit of v(y)?
5
Let v(f) = f**3 - 4*f**2 - 7. What is the tens digit of v(5)?
1
What is the units digit of (-8)/2 - (15 - 37)?
8
Suppose 4*l - m - 19 = 0, -2 + 3 = 4*l + 5*m. Suppose 3*j - 31 = l*x, 2*j - 8*x = -3*x + 30. What is the units digit of j?
5
Suppose 2*t = -t - 2*l + 32, -4*t + 2*l + 66 = 0. What is the units digit of 310/t - (-4)/(-28)?
2
Let m be 43/4 - (-2)/8. Suppose -5*y + 34 = -46. Let z = y - m. What is the units digit of z?
5
Let z(v) = -5*v - 1. Suppose 5*w = 14 - 4. Let n be (w/(-4))/(3/18). What is the units digit of z(n)?
4
What is the tens digit of 4/(-6) + 833/21?
3
Suppose 3*d + 1 = 13. What is the tens digit of d/18 - 399/(-27)?
1
Let j(v) = v**2 - 5*v - 6. Let o be j(6). Let a(t) = t**2 - t + 2. Let m be a(o). Suppose -3*u + m = -31. What is the units digit of u?
1
Suppose -4*f + 8*f = -4. Let z be ((-2)/4)/(f/14). Suppose z = x + 2. What is the units digit of x?
5
Let u = 4 - 2. What is the units digit of (21/u)/((-1)/(-2))?
1
Suppose 0 = -5*k - w + 1793, -4*k + 1447 = 4*w + w. What is the units digit of k?
8
Suppose -9*y = 8*y - 6851. What is the units digit of y?
3
Let g = 42 + -17. Suppose -3*y = -0*y - 2*a - g, -4*y = -3*a - 33. What is the units digit of y?
9
Let o(j) = -2*j + 30. What is the tens digit of o(0)?
3
Suppose b - 4*h = 1, b = -5*h + 3 - 11. Let t = 1 - b. Suppose -t*g + 45 = -3. What is the units digit of g?
2
What is the hundreds digit of (-927)/(-6)*(-12)/(-18)?
1
Suppose 8 = 2*k + 4*h, -2*h - 5 = -3*k - h. Suppose 19 = k*f + 3. What is the units digit of f?
8
Let q = 7 + -4. Let p be (4 + -5)*(-4 + 2). Suppose -p*w = -k - 27 - 0, -k - 40 = -q*w. What is the tens digit of w?
1
Let b = -1 - -4. Suppose 5*i = b*i + 46. What is the units digit of i?
3
Let l = -669 + 1033. What is the hundreds digit of l?
3
Suppose -5*r + 332 = 2. Suppose 0 = 5*m + 4*y - 4 - r, 0 = -2*m - 5*y + 28. Let h = -7 + m. What is the units digit of h?
7
Let v(c) = -c**2 + 7*c - 1. What is the tens digit of v(3)?
1
Suppose 225 - 45 = 5*a. What is the units digit of a?
6
Let p(u) be the first derivative of u**4/4 - 7*u**3/3 + 3*u**2/2 - 5*u - 4. What is the units digit of p(7)?
6
Suppose -107 = -2*a - 1. What is the tens digit of a?
5
Let g = 19 + -44. Let d = 13 + g. What is the units digit of (-4)/(3/d*2)?
8
Let o = 66 + -3. What is the units digit of o?
3
Let x(j) = 21*j**2 - j - 4. What is the tens digit of x(2)?
7
Let z(u) = -u. Suppose 2*l = -0*l - 6. Let x be z(l). What is the units digit of (-7 - (-3)/x)*-1?
6
Let z(x) = 7*x**2 - 3*x + 7. Let b(w) = 15*w**2 - 7*w + 15. Let p(q) = -6*b(q) + 13*z(q). Let i be p(-4). Let o(y) = y - 3. What is the units digit of o(i)?
2
Let k(v) = -16*v - 28. What is the tens digit of k(-6)?
6
What is the units digit of ((-2)/(-6))/(3 - (-628)/(-210))?
5
Suppose 21 + 84 = 3*w. What is the tens digit of w?
3
Let o(w) = 2*w**2 - 5*w - 4. Let a be (-18)/63 - 37/(-7). What is the tens digit of o(a)?
2
Let m(u) = -u**2 - 2*u - 2. Let k be m(-2). Let d = k - -10. What is the units digit of d?
8
Suppose l + 2*k = 5*l - 12, -k + 6 = 4*l. Let u(y) = 13*y + 2. What is the units digit of u(l)?
8
Let r(g) = g - 6. What is the units digit of r(10)?
4
Let i(j) = -j**3 - 7*j**2 - 6*j. Let v be i(-6). Suppose 22 = m - v*m. Let a = m - 16. What is the units digit of a?
6
Let g be 4/(-8)*(-12)/1. Let p(s) = -g - s**3 - 2*s**3 + 9*s**2 - 10*s + 2*s**3 + 3*s. What is the units digit of p(8)?
2
Let k = -1 - 0. What is the tens digit of (-70)/(-4) - k/(-2)?
1
Let f be 4/(-20) + (-1)/(-5). Suppose 2*w - 5*p - 10 = -4*p, -4*w - p + 20 = f. Let l = w - 3. W | {
"pile_set_name": "DM Mathematics"
} |
ive of -p**3/3 - 6*p - 97. Give w(0).
-6
Let n(p) = 111 + 2*p**2 - 100 + 10*p - p**2. Calculate n(-9).
2
Let h(b) be the second derivative of b**4/12 + 7*b**3/6 - 9*b**2/2 - 2*b + 742. Determine h(6).
69
Let u(s) = -s**3 + 5*s**2 - 4*s - 2. Let t = -28 - -54. Let o be t/117 - (-34)/9. Give u(o).
-2
Suppose -y + 0*m - 3*m = -46, m + 38 = y. Suppose 3*f = -f + 4*j + y, j - 8 = -2*f. Let q(u) = 8 - 5*u - u + u**2 - u. What is q(f)?
2
Let h = -268 - -269. Let s(d) be the first derivative of 3/2*d**2 + h - d. Determine s(1).
2
Let a(k) = -4*k + 5. Suppose -3*h + 88 = -188. Let p(t) = h - 98 + 5*t + 0*t. Let m(l) = -3*a(l) - 2*p(l). Determine m(5).
7
Let n(v) = -v + 17. Let g(l) = l - 5. Let k(f) = -7*g(f) - 2*n(f). What is k(3)?
-14
Let d(o) be the second derivative of -o**4/12 - 2*o**3/3 - 3*o**2 - 2*o. Suppose -32 - 18 = 5*n - 4*k, 13 = 2*n + 5*k. Let a be 3*(0 - (-8)/n). Calculate d(a).
-6
Let m = -17 + 18. Let f be m + -4 + -3 + 4. Let a(t) = 5*t**2 + 6*t + 4. Let i(p) = 11*p**2 + 13*p + 9. Let w(s) = -5*a(s) + 2*i(s). Give w(f).
-6
Let x(k) = 2*k + 3. Let w(y) = 4*y + 8. Let r(b) = -3*w(b) + 7*x(b). What is r(5)?
7
Suppose -4*z - 3 = t, -5*t - 3*z - 37 = -5*z. Let k(w) = -2*w - 9. What is k(t)?
5
Suppose -15*f = -13*f + 8. Let j(r) = -r**3 - 4*r**2 + r - 2. Determine j(f).
-6
Let j(y) be the first derivative of y**3/3 + y**2 + y - 9. Let h(x) = 3*x - 9. Let o be h(5). Let l = o - 8. What is j(l)?
1
Let y(h) = 2*h - 18. Let w be y(12). Let g(q) be the second derivative of -q**3/6 + 3*q**2 + 25*q + 3. Give g(w).
0
Let b(p) = -4*p - 170. Let j be b(-42). Let u(a) = -5*a - 2. Calculate u(j).
8
Let x(a) = -a**3 + 21*a**2 + 1. Let r be x(21). Let l(d) = 10 + r + d - 11. Give l(3).
3
Suppose -b + 2*c - 9 = 0, 10 = -5*b - 3*c + 4. Let d(p) = 4*p**2 + 3*p - 1. Give d(b).
26
Let l(j) = j**3 - 4*j**2 + 2*j + 4. Suppose 0 = 2*v + 3*v + 10. Let s be (-9)/12 + v + (-69)/(-12). What is l(s)?
1
Let m be ((-70)/(-105))/(2/33 + 0). Let r(w) = -w**2 + 10*w + 11. Determine r(m).
0
Suppose 199*u - 200*u = -3, -2*u - 42 = 4*h. Let r(d) = d**2 + 9*d - 11. What is r(h)?
25
Let g(c) = c + 17. Let j(a) = -3*a - 89. Let z(y) = y**3 - 30*y**2 + y - 56. Let b be z(30). Let s be j(b). Give g(s).
6
Let u(q) = q - 3. Let s be u(-3). Let f(w) = -2*w - 3. Let h(z) = 7*z + 11. Let m(n) = s*h(n) - 22*f(n). What is m(3)?
6
Let k(h) = -27 - 610*h + 24 + 619*h. Give k(-3).
-30
Let x(m) = -4*m**2 + 14*m + 3. Let w be -3 - 100/(-12) - 4/3. What is x(w)?
-5
Let t(d) = -6*d**2 - 2*d + 1. Suppose 2*s = 21*s - 19. What is t(s)?
-7
Let k(t) = -t**2 - 2*t + 3. Suppose g = 6*g - 75. Suppose 75*y - g = 80*y. What is k(y)?
0
Let f(p) = p**3 + p**2 - 4*p - 3. Let a = -6 + 9. Suppose -3*s + 2 = 2*b, s + 2*b + a = 9. Give f(s).
1
Suppose -4*d + 4*h - 48 = 0, 7*d - 6*d = -5*h + 12. Let s(t) = t**2 + 8*t - 11. What is s(d)?
-11
Suppose 8*k - 4*k - 32 = 0. Let h(q) = 2*q**2 - 4 - 7*q - k + 6 - 3*q**2. Determine h(-7).
-6
Let h(n) = n**2 + 6*n + 1. Let s = -35 - -25. Let m = s - -16. Suppose 3*r - t - 3*t = 0, 0 = -2*t - m. Calculate h(r).
-7
Let u = 1857 - 1855. Let a(s) = 3*s**3 - 2*s**2 - 1. Calculate a(u).
15
Let d(k) = 173*k - 90*k - 23 - 83*k + 0*k**2 - k**2. Give d(0).
-23
Suppose 4*t + 3*l = 2, 0 = -3*t + 2*l - 5*l. Let h(a) = 3*a - 3. Let y(n) = 3*n - 3. Let z(d) = -6*h(d) + 7*y(d). What is z(t)?
3
Suppose 1192 - 1188 = 2*g. Let j(s) = 3*s + 7. Determine j(g).
13
Let f(a) = a**3 - a**2 - a - 6. Let w be 4/(-4) - (1 + -10). Let b be ((-6)/(-10))/(3/15). Suppose -b*h = -w*h. Calculate f(h).
-6
Let f(s) = s**3 + 5*s**2 + 4*s + 5. Let t be f(-4). Let r(a) = -7*a**3 + 545*a**2 - 5 + 3 + 5 + 6*a**3 - 5*a - 539*a**2. Give r(t).
3
Suppose 62 = -2*x + 18. Let s = 22 + x. Let y(r) = 2*r**2 + 2*r - 9. Let d(q) = q**2 + q - 1. Let b(n) = 3*d(n) - y(n). Calculate b(s).
6
Let d(a) be the first derivative of 1 + 0*a**2 + 14 + 4 + a**2. Determine d(-1).
-2
Let c(x) = -115*x**2 - 112*x**2 + 227*x**2 - 4 - x**3. Give c(0).
-4
Let h(k) = -5 + 3*k + 8*k - 3*k - 6 - k**2. Calculate h(5).
4
Let c(m) = -m**2. Let t(b) = 4*b**3 + 3*b**2 - b. Let y be t(3). Let x = -133 + y. Calculate c(x).
-1
Let t(u) = 5*u - 12. Let o(x) = 5. Let q(y) = y + 4. Let a(d) = 4*o(d) - 3*q(d). Let j(k) = 8*a(k) + 5*t(k). Let m be 348/986*17/2. Determine j(m).
7
Let o(p) = -7*p**3 - 2*p + 2. Let m(k) = -k**3 + k**2. Let s(q) = 6*m(q) - o(q). Determine s(-4).
22
Let n(q) be the first derivative of -3*q**2/2 + 11*q + 82. Determine n(6).
-7
Let q(i) = -2*i + 2. Let z(w) = w**2 - 19*w - 40. Let n be z(21). Suppose 9 = 3*u, 2*u + 0*u - 14 = -n*m. What is q(m)?
-6
Let s(g) = g**3 + 2*g**2 + g + 2. Let q be (-15)/6 + 9/18. What is s(q)?
0
Let n(t) be the second derivative of t**8/6720 + t**7/2520 + 2*t**5/15 + 31*t**4/12 - 5*t. Let o(k) be the third derivative of n(k). Give o(0).
16
Let h(i) be the third derivative of i**6/36 - i**5/120 - i**4/24 + 19*i**3/6 - 2*i**2. Let n(v) be the first derivative of h(v). What is n(-1)?
10
Let x(v) be the third derivative of v**4/24 - v**3/6 - 2*v**2. Suppose 2*b - 2*m = 26, 0*b + 3*b + m - 27 = 0. Let n be (-8)/b + 76/20. Give x(n).
2
Let j(m) = 148*m + m**3 + 7 - 5*m**2 - 148*m. Let r = 3 + 2. What is j(r)?
7
Let p be (-14)/(-3) + 2/6. Let z(y) = -3 - 3*y + p*y - 4. Let x be (42/12)/((-1)/(-2)). What is z(x)?
7
Let m be 18/(-45) - (-22)/5. Let z(i) be the third derivative of 0 - 1/6*i**3 + 0*i + 7/24*i**4 + m*i**2. Calculate z(1).
6
Let y(v) be the second derivative of 11*v**5/20 + v**3/6 + v**2/2 + 3*v. Suppose 5*q + 2*f = 59, -3*f + 56 = 5*q - 5. Let z = 10 - q. Calculate y(z).
-11
Suppose 4*v - l - 8 = 0, v = -4*v - l + 19. Suppose 20 = -v*t + 8. Let r(w) = w**3 + 5*w**2 + 4*w. Give r(t).
0
Suppose -315 = -7*y + 42*y. Let j(p) = p**3 + 8*p**2 - 8*p + 13. Determine j(y).
4
Let d(x) = 3*x**2 + 4*x - 6. Let n be d(-4). Let o = n - 22. Let j(m) be the third derivative of -m**5/60 + 5*m**4/24 - m**3/6 + 2*m**2. Calculate j(o).
3
Let v(s) = -3 + s**3 + 9*s**2 - 146*s + 149*s - 5*s**2. Determine v(-4).
-15
Let l be (-48)/10 - 11/55. Let p(n) = -n**2 - 7*n - 2. Determine p(l).
8
Let t(l) = -2*l**3 + 2*l**2 + l + 2. Let s(r) = 4*r - 10. Let z be s(3). Determine t(z).
-4
Let x(z) be the first derivative of -2*z**3/3 - z**2/2 - 3*z - 250. Determine x(-2).
-9
Let b = 6 + -8. Let c(o) be the first derivative of -o**4/4 + 2*o + 7. Give c(b).
10
Let a = 34 - 13. Suppose 4*k + 1 = a. Suppose 2*z + k*t - 3 = 2*t, -t = 1. Let l(s) = s**2 - 3*s + 4. Determine l(z).
4
Let l(b) = 4*b + 99. Let w(o) = -o - 33. Let n(d) = 4*l(d) + 11*w(d). What is n(-7)?
-2
Let m(t) = -t + 8. Let f be m(6). Let j(a) be the second derivative of -a**5/20 + a**4/12 - a**3/6 - a**2/2 + 29*a - 2. Determine j(f).
-7
Let f(x) = -5*x - 5. Let z(v) = 8*v + 10. Let o(l) = 7*f(l) + 4*z(l). Determine o(-6).
23
Let u = 3 - 7. Let m(n) = -11*n - 5. Let i(h) = 30*h + 14. Let v(z) = 4*i(z) + 11*m(z). Determine v(u).
5
Let b = 70 - 73. Let l(g) = 4 + 0*g**2 + 4*g - 25*g**3 + 4*g**2 + 26*g**3. Determine l(b).
1
Let t(x) = 3*x. Suppose 3 = -4*w + 2*q - 3*q, -2*q + 10 = 0. Give t(w).
-6
Let b(k) be the first derivative of 2*k**2 + k + 1. Let x(n) = 5*n - 4. Let g be x(1). Let z(m) = m**2 - m + 1. Let u be z(g). Give b(u).
5
Let w(r) = -3*r. Suppose 9*i - 2*l = 6*i, -4*i = 4*l + 20. Calculate w(i).
6
Suppose -13*b + 16*b = 15. Let f(j) = -b + 4 - 48*j**2 + 51*j**2 - 3*j. Give f(3).
17
Let i(u) = -u**3 + 3*u**2 + 3*u - 6. Let h = 795 + -791. Calculate i(h).
-10
Suppose 0 = -s - 2*n + 3, s - n = 2*s - 5. Let a(b) = -1 - s*b**2 + 1 + 1. Suppose -4*h - 37 + 41 = 0. Calculate a(h).
-6
Let q(u) be the first derivative of 0*u + 13 + 5/6*u**3 + 7/24*u**4 + 9/2*u**2 + 1/60*u**5. Let g(c) be the second derivative of q(c). Give g(-4).
-7
Let l(f) = 6*f**3 - 5*f**2 + 6*f - 4. Let g(r) be the first derivative of r**4/4 - r**3/3 + r**2/2 - r + 7. Let z(s) = 5*g(s) - l(s). What is z(-1)?
1
Let z(c) = c**2 + 10*c - 2. Let j = -475 + 465. Give z(j).
-2
Let b be (-66)/(-24) + (2/(-8))/(-1). Suppose -3*h + 0*h - b = 0. Let f(x) = 8*x**2 - 1. Determine f(h).
7
Let a(w) = -w**2 + 10*w - 10. Let v be (149 - 151)/(1/9*-2). Calculate a(v).
-1
Let g(k) be the third derivative of -k**4/24 + k**3 + 117*k**2. Determine g(6).
0
Let r(o) = -o**3 - 15*o**2 - o - 12. Let y be ((-78)/(-10 | {
"pile_set_name": "DM Mathematics"
} |
many minutes are there between 8:05 PM and 12:14 AM?
249
What is 462 minutes before 11:49 AM?
4:07 AM
How many minutes are there between 1:39 PM and 12:02 AM?
623
How many minutes are there between 2:56 PM and 10:21 PM?
445
What is 419 minutes before 11:13 AM?
4:14 AM
What is 418 minutes before 7:24 PM?
12:26 PM
How many minutes are there between 10:03 AM and 12:13 PM?
130
How many minutes are there between 12:50 PM and 9:18 PM?
508
What is 493 minutes after 8:45 PM?
4:58 AM
How many minutes are there between 12:30 AM and 2:47 AM?
137
What is 255 minutes after 4:30 PM?
8:45 PM
How many minutes are there between 9:30 PM and 6:07 AM?
517
What is 553 minutes after 11:03 PM?
8:16 AM
What is 127 minutes after 4:19 PM?
6:26 PM
What is 625 minutes after 9:55 PM?
8:20 AM
How many minutes are there between 12:52 PM and 5:04 PM?
252
How many minutes are there between 11:23 AM and 2:54 PM?
211
How many minutes are there between 4:59 PM and 7:49 PM?
170
What is 709 minutes after 1:35 PM?
1:24 AM
How many minutes are there between 7:02 PM and 4:44 AM?
582
How many minutes are there between 4:09 AM and 11:12 AM?
423
How many minutes are there between 2:21 PM and 8:37 PM?
376
What is 165 minutes after 11:35 PM?
2:20 AM
What is 360 minutes before 2:33 AM?
8:33 PM
How many minutes are there between 3:33 PM and 5:24 PM?
111
What is 252 minutes after 5:06 AM?
9:18 AM
How many minutes are there between 4:56 PM and 4:36 AM?
700
What is 194 minutes after 10:36 AM?
1:50 PM
How many minutes are there between 9:39 PM and 4:48 AM?
429
What is 115 minutes after 2:00 PM?
3:55 PM
How many minutes are there between 2:09 PM and 3:59 PM?
110
How many minutes are there between 12:05 AM and 5:32 AM?
327
What is 568 minutes before 7:32 PM?
10:04 AM
What is 255 minutes before 4:49 AM?
12:34 AM
How many minutes are there between 2:17 AM and 5:07 AM?
170
What is 643 minutes before 9:28 AM?
10:45 PM
How many minutes are there between 5:47 AM and 12:48 PM?
421
What is 250 minutes after 4:00 PM?
8:10 PM
What is 374 minutes after 9:03 AM?
3:17 PM
What is 35 minutes before 5:32 PM?
4:57 PM
What is 414 minutes after 12:59 AM?
7:53 AM
How many minutes are there between 2:36 AM and 6:32 AM?
236
How many minutes are there between 1:51 PM and 3:33 PM?
102
How many minutes are there between 5:57 AM and 11:20 AM?
323
What is 194 minutes before 2:12 PM?
10:58 AM
How many minutes are there between 9:14 PM and 10:17 PM?
63
What is 414 minutes before 2:45 PM?
7:51 AM
What is 139 minutes after 7:05 PM?
9:24 PM
What is 318 minutes after 3:27 AM?
8:45 AM
How many minutes are there between 7:19 AM and 9:38 AM?
139
What is 643 minutes after 5:45 PM?
4:28 AM
What is 586 minutes before 12:07 PM?
2:21 AM
How many minutes are there between 3:34 PM and 12:43 AM?
549
How many minutes are there between 3:02 PM and 8:34 PM?
332
How many minutes are there between 6:11 AM and 4:20 PM?
609
How many minutes are there between 8:05 AM and 3:01 PM?
416
What is 176 minutes after 3:38 PM?
6:34 PM
How many minutes are there between 10:21 PM and 6:32 AM?
491
How many minutes are there between 3:13 AM and 2:30 PM?
677
What is 305 minutes before 2:51 AM?
9:46 PM
What is 691 minutes after 11:05 AM?
10:36 PM
How many minutes are there between 7:25 AM and 12:21 PM?
296
How many minutes are there between 2:56 PM and 3:45 PM?
49
How many minutes are there between 1:37 AM and 4:52 AM?
195
How many minutes are there between 8:04 PM and 5:20 AM?
556
How many minutes are there between 12:20 PM and 11:51 PM?
691
What is 110 minutes after 4:57 AM?
6:47 AM
How many minutes are there between 10:28 AM and 6:05 PM?
457
How many minutes are there between 7:00 AM and 12:24 PM?
324
How many minutes are there between 7:44 PM and 7:06 AM?
682
What is 270 minutes before 11:03 AM?
6:33 AM
What is 505 minutes before 5:52 PM?
9:27 AM
How many minutes are there between 12:59 AM and 2:49 AM?
110
What is 578 minutes after 2:23 AM?
12:01 PM
What is 401 minutes after 5:16 AM?
11:57 AM
What is 97 minutes before 9:41 PM?
8:04 PM
How many minutes are there between 7:43 AM and 1:25 PM?
342
What is 186 minutes after 10:46 PM?
1:52 AM
What is 274 minutes before 5:46 PM?
1:12 PM
How many minutes are there between 3:07 AM and 7:05 AM?
238
What is 135 minutes before 6:32 PM?
4:17 PM
How many minutes are there between 1:53 PM and 2:32 PM?
39
How many minutes are there between 10:39 PM and 2:30 AM?
231
What is 53 minutes before 4:40 AM?
3:47 AM
How many minutes are there between 9:18 AM and 11:15 AM?
117
What is 344 minutes after 1:23 PM?
7:07 PM
How many minutes are there between 12:34 PM and 12:44 PM?
10
How many minutes are there between 6:02 AM and 10:08 AM?
246
How many minutes are there between 12:06 AM and 9:26 AM?
560
What is 532 minutes after 10:09 AM?
7:01 PM
What is 491 minutes after 10:17 AM?
6:28 PM
How many minutes are there between 12:32 AM and 12:01 PM?
689
What is 702 minutes before 7:18 PM?
7:36 AM
What is 627 minutes after 2:57 AM?
1:24 PM
How many minutes are there between 1:06 AM and 5:57 AM?
291
How many minutes are there between 7:13 PM and 5:33 AM?
620
How many minutes are there between 2:58 PM and 10:51 PM?
473
What is 102 minutes before 5:11 AM?
3:29 AM
How many minutes are there between 7:48 PM and 7:27 AM?
699
How many minutes are there between 4:22 PM and 11:00 PM?
398
What is 520 minutes after 4:53 AM?
1:33 PM
What is 374 minutes after 3:16 PM?
9:30 PM
What is 250 minutes after 4:39 AM?
8:49 AM
What is 586 minutes after 5:16 PM?
3:02 AM
What is 675 minutes after 10:32 PM?
9:47 AM
What is 165 minutes after 11:57 PM?
2:42 AM
How many minutes are there between 11:48 PM and 2:03 AM?
135
What is 669 minutes after 2:30 AM?
1:39 PM
How many minutes are there between 3:24 PM and 11:24 PM?
480
How many minutes are there between 10:53 AM and 1:48 PM?
175
What is 123 minutes after 3:34 AM?
5:37 AM
What is 641 minutes after 11:36 PM?
10:17 AM
What is 44 minutes after 12:52 PM?
1:36 PM
How many minutes are there between 4:39 AM and 8:34 AM?
235
How many minutes are there between 1:23 AM and 2:04 AM?
41
How many minutes are there between 11:42 AM and 11:29 PM?
707
What is 211 minutes after 2:09 PM?
5:40 PM
What is 315 minutes after 1:37 AM?
6:52 AM
What is 443 minutes after 12:33 AM?
7:56 AM
How many minutes are there between 11:41 AM and 2:36 PM?
175
What is 92 minutes before 2:31 AM?
12:59 AM
How many minutes are there between 3:54 AM and 2:30 PM?
636
How many minutes are there between 2:23 PM and 4:56 PM?
153
What is 353 minutes before 6:03 AM?
12:10 AM
What is 110 minutes before 9:27 PM?
7:37 PM
What is 539 minutes after 12:59 AM?
9:58 AM
What is 96 minutes after 8:21 AM?
9:57 AM
What is 337 minutes before 12:21 AM?
6:44 PM
What is 249 minutes before 11:28 PM?
7:19 PM
What is 98 minutes before 4:22 PM?
2:44 PM
What is 391 minutes before 1:51 AM?
7:20 PM
What is 584 minutes after 3:37 AM?
1:21 PM
How many minutes are there between 5:23 PM and 5:11 AM?
708
What is 197 minutes before 1:55 PM?
10:38 AM
How many minutes are there between 10:17 AM and 9:00 PM?
643
What is 11 minutes after 8:31 AM?
8:42 AM
How many minutes are there between 11:29 AM and 9:41 PM?
612
What is 132 minutes after 5:36 AM?
7:48 AM
What is 260 minutes after 11:04 AM?
3:24 PM
How many minutes are there between 10:20 AM and 10:47 AM?
27
How many minutes are there between 5:05 PM and 9:19 PM?
254
What is 317 minutes before 10:35 AM?
5:18 AM
What is 48 minutes before 4:19 PM?
3:31 PM
How many minutes are there between 10:31 PM and 7:49 AM?
558
How many minutes are there between 3:10 AM and 10:34 AM?
444
How many minutes are there between 10:35 AM and 10:24 PM?
709
What is 524 minutes before 1:23 PM?
4:39 AM
How many minutes are there between 8:19 AM and 10:57 AM?
158
How many minutes are there between 4:58 AM and 9:11 AM?
253
What is 616 minutes after 2:51 PM?
1:07 AM
How many minutes are there between 5:45 PM and 7:23 PM?
98
How many minutes are there between 4:03 AM and 2:12 PM?
609
How many minutes are there between 8:53 PM and 8:08 AM?
675
How many minutes are there between 9:05 PM and 6:23 AM?
558
How many minutes are there between 1:09 PM and 1:50 PM?
41
What is 300 minutes before 2:12 AM?
9:12 PM
What is 88 minutes after 3:16 AM?
4:44 AM
What is 388 minutes after | {
"pile_set_name": "DM Mathematics"
} |
e 0 = -3*y + 4*u, n*u = -5*y - u for y.
0
Suppose 5*j - 2*j - 48 = 0. Suppose 12*z + 36 = j*z. Suppose -4 = -z*x + 7*x. Solve 4*y + 22 = -2*m, -y + 0*y - x*m - 7 = 0 for y.
-5
Let s be 5/(-2)*(-4)/5. Let h be s + -4*(-1)/4. Solve 3*w = -2*y + 5*w, 2*y + 1 = h*w for y.
1
Let t = 5081 - 5076. Solve -25 = -t*r, -2*l - r - 1 + 8 = 0 for l.
1
Suppose 5*s + 5*x = 148 + 12, 4*x + 176 = 4*s. Solve -i + 2 = w, 5*i + 0*i + s = 3*w for i.
-4
Suppose -9 = 2*v - 5*v. Suppose -188 = v*f - 158. Let u be 0 + f*(-1)/2. Solve -4*y - 4*z = -16, -y + u*z = -4*y + 20 for y.
0
Suppose 44 = 5*m + x, 3*x = 4*m - 13 - 7. Suppose y - 5 = -n, -m*n + 4*n = 2*y - 8. Solve 4*b + 4*u = 3*b - y, -b + u + 4 = 0 for b.
2
Let l = -24 - -34. Suppose 9*c - l = 7*c. Suppose -5*k + 1 = i + 3*i, c*k = -3*i + 2. Solve -2*a - 7 = -k, -3*a - 9 = 3*h for h.
0
Suppose 5*x - 4 - 16 = 0, -t = -3*x - 6. Suppose -2*n - 6 = -t. Let q be n/(-21) + 90/21. Solve 4*o + 8 = -q*d, 2*o - 3*o + d + 8 = 0 for o.
3
Suppose -181*t - 42 = -195*t. Solve 0 = -t*h - 3*z + 6, -2*h = 5*z - z - 2 for h.
3
Let w be (1/((-9)/12))/((-4)/(-6)). Let b(d) = -2*d**3 - d**2 - d - 1. Let v be b(w). Let p be (2 + v + 0)*(-3 - -4). Solve -2*c = 0, p = i + 2*i - 2*c for i.
5
Let v be 3 + ((-35588)/140 - 2/(-10)). Let z = v + 277. Solve -3*d = -3*h - 3 - 3, z = -5*h - 3*d for h.
-4
Let u = 36 + -31. Let t be -2 - (u + (1 - 11)). Solve -2*a - 7 = t*a - 4*w, -3*a - 5*w = -18 for a.
1
Let r = -159 + 163. Suppose -2*x = -p - 63, -3*x + 17 = -r*p - 85. Solve -2*q - x = 4*l, -3 = q + 2 for l.
-5
Suppose 3*g + 4*a - 96 = g, -4*g - 3*a = -187. Let k = g - 46. Suppose -z + 5 = 0, 3*w + k*z + 2*z = 19. Solve 5*s + w*h = -2, 0 + 3 = 2*s + 5*h for s.
-1
Suppose -2*i + 2*s - 32 = -48, 5*s = -5*i + 100. Solve 2*l + i = -2*a, l + 16 = -3*a + 1 for a.
-4
Let z be 0 + 4*1/(-3)*-12. Suppose -5*t + z = 11*t. Solve 4*j + 4 = -2*l, j + 4*l + t = -0*l for j.
-1
Let i = 6701 - 6696. Solve -116*p + i*n = -113*p + 10, -2*p - 5*n = 15 for p.
-5
Suppose 4*f + 5*y = 138, 5*f + 8*y = 3*y + 175. Let o be 142/20 - f/370. Let i = -3 - -5. Solve -2*t = 3*z + z + 6, -i*z = -t - o for z.
1
Let o(x) = 3*x**2 + 51*x + 101. Let d be o(-2). Solve -4*c + 16 = -3*p, -p + 7 - d = -c for p.
0
Suppose -2*q + 4*q - 4 = 0. Suppose 0 = 2*t + j - 9, -4*t - 14*j = -16*j - 6. Suppose -m - 16 = -d, 4*d - t*m - 34 = q*d. Solve -3*i = -x + d, 3 - 1 = x for i.
-4
Suppose 0 = 2334*j - 2309*j. Solve j = 2*t - 29 + 27, 0 = -4*z - 5*t + 17 for z.
3
Let b be (-46)/(-14) - 2/7. Let t be (-2)/(-12) + 697/(-4182). Solve t*f - f = -4*r - 19, 0 = f - b for r.
-4
Let f = 4 - 2. Suppose -1 = f*m - 7. Let t be ((-396)/(-440))/(6/20). Solve w = -t*q + 6*w - 3, w = m for q.
4
Let d(y) = y**2 + 3*y - 2. Let x be d(6). Let m(a) = -5*a**2 - 12*a - 18. Let q be m(-4). Let g = q + x. Solve -3*l - 2*p = 10 - 3, -g*l - 6 = 2*p for l.
-1
Let l = 127 + -145. Let c be l/4*(1 - (-35)/(-21)). Solve 0*g = c*g - a - 7, 3*g = 2*a + 8 for g.
2
Let m be 48/(((-32)/(-36))/4). Let g = 219 - m. Solve r - v = 2, 0 = 3*r - v - g*v - 7 for r.
1
Let m be 390/90 - 4/(-6). Solve s - 2*q = 13, 3*s + 31 = 4*s - m*q for s.
1
Let w = -14535 - -14537. Solve a = -3*t - w, 5*t = 4*a - 94 + 102 for a.
-2
Let b(d) = 52*d - 57*d + 1 + 0 - 2. Let n(s) = 9*s + 2. Let z(y) = 13*b(y) + 6*n(y). Let x be z(-1). Solve 0 = -5*l + x, 2*t + 2*l = t + 6 for t.
2
Suppose -7710 = -4628*m + 1546. Let j(z) = z**3 - z**2 - 2*z - 2. Let q be j(3). Solve -2*u + q = 0, m*i - i - 4*u + 22 = 0 for i.
-2
Let q = 4127 + -4124. Solve -26*z + 27*z = 2, 3*i + 3 = q*z for i.
1
Suppose 20 = -c + 5*l, -2*l + 62 = 6*c - c. Solve 5*q + 2*f = 10, c*f - 14*f = -4*q - 20 for q.
0
Let z(w) = 4*w**2 + 82*w - 24. Let b be z(-21). Solve -19*s - 4*v = -b*s + 2, 0 = 4*v for s.
-2
Suppose 0 = 14*m - 17*m + 27. Suppose 0 = 6*p - m*p. Solve 5*r + p*r + 3*k = 10, 0 = -r - 5*k - 20 for r.
5
Suppose 0 = -c + 2*c + 3, -505 = 2*u + 3*c. Let m = -243 - u. Let j = 2 + -2. Solve n = -m*k - 15, 4*k + 12 = -j*n - 2*n for k.
-3
Let j = -69 - -71. Suppose i - 5*m + 46 = 0, -2*m = j*m - 20. Let a = 26 + i. Solve 4 = 2*x + s, -4*x + 3*s - a = -3 for x.
1
Let f be (304/(-44) - (-3)/(-33))*-1. Solve -5*k + 29 = -0*k - 4*b, 2*k + 3*b - f = 0 for k.
5
Let c = 0 + 1. Let v = c - -2. Suppose 13*k = 9*k + 4*n + 16, 4*k - 5*n - 16 = 0. Solve -v*o = 2*l - 8 + 19, k*l + 7 = -3*o for l.
2
Suppose -2*j = 27 - 49. Suppose 70 = -j*t + 202. Solve x = 4*c + t, 4*x - 4*c + c = 9 for x.
0
Suppose 324 - 225 = 9*s. Let w be -12*(20/(-6) - (-33)/s). Solve 0 = -2*m + 3*g - 10, 2*m + m = -5*g + w for m.
-2
Suppose -5*w + 3*b + 53 = 0, 0 = -3*w + 12*b - 14*b + 28. Let m be (6 - (-4 + w))*-1. Solve 5*v + 10 = -3*k, m*v = -3*v + 3 for k.
-5
Let w be 3 + 3 + (34/(-17) - -13). Solve -2*d = 5*q + w, q + 202 = 5*d + 177 for d.
4
Let w(g) be the first derivative of g**4/4 + 3*g**3 + 3*g**2 - 9*g + 13. Let i be w(-8). Suppose 4*j = i*j. Solve -z + r - 4 = 3*r, j = 2*z - 5*r - 1 for z.
-2
Let j = 1282 + -1280. Solve 0 = r - j*y + 4, y - 371 + 380 = -5*r for r.
-2
Let d(b) = 2*b**3 + 5*b**2 - 2*b + 7. Suppose 0 = 2*a + 3*c + 6, 3*a - 3 = 3*c - 12. Let y be d(a). Solve -3*h + 11 = -j + 1, -5*h + y*j = -26 for h.
2
Suppose -4*c + 4*f = -8, 23*f - 18*f = -2*c + 11. Solve u - c = -2*u + r, -15 = -5*r for u.
2
Let h be (-4)/(-30) - 133/(-15). Let u be (-620)/(-180) + (-4)/h. Solve -w - u + 1 = -2*k, 0 = -3*k + 2*w + 4 for k.
0
Let c = -34 - -51. Suppose -4*i + 9 = 2*t - c, 0 = -i + t - 1. Suppose 0*p + 2*y - 17 = -5*p, 0 = -p - 2*y + 5. Solve 3*k - p*u = 2 + 1, -6 = -i*k + 2*u for k.
2
Suppose -3186*y = -3167*y - 57. Solve -y*t - 3*r = -12, 2*t + 27*r - 29*r = 0 for t.
2
Let c = -6 + 10. Let u(b) = -b**3 + 3*b**2 - 5*b + 3. Let j be u(c). Let f = j + 36. Solve 0 = -a, -a = x + 2*a + f for x.
-3
Let g be 8/((-144)/(-6))*27*2. Solve -2*p - 3*b + 26 = 0, 19*p - g*p + 2 = b for p.
4
Suppose 23 = 5*k - 32. Suppose -17 + 27 = 3*h - s, -4*s = 5*h - k. Solve g - 3*p = 15, h*p + 14 = -1 for g.
0
Let n be (-1)/((2/2)/(-9)). Let m be (-27)/(351/(-182)) - -14. Suppose n*s = 2*s + m. Solve 5*d - 20 = -0*y - s*y, -4*d + 16 = 4*y for y.
0
Let g = -60 + 73. Suppose -14*c + 55 - g = 0. Solve 4*k + n = 8, -3*k + 2*n - c*n + 6 = 0 for k.
2
Let r(i) = -i**2 - 7*i - 7. Let d = -479 + 475. Let g be r(d). Solve -3*y = -5*k - 17, g*y - 15 = -7*k + 2*k for k.
-1
Suppose -d - d = -4. Let g(w) = 10*w**2 - 2*w + 1. Let j be g(1). Suppose j = -d*k + 17. Solve 7 = k*l - 6*x + x, 5*l + 4*x - 19 = 0 for l.
3
Let u = -18466 - -18466. Solve u = -4*m + 6*z - z + 17, -5*z = 5 for m.
3
Let w(p) = -5 + 1 - 1 + 10*p. Suppose -67*a - 6 = -73*a. Let v be w(a). Solve 4*m + 3*f = v + 2, 0 = 4*m - 4*f for m.
1
Let c = 622 + -333. Let q = c - 284. Solve -2*r + 2*k - 8 = r, -5*r = q*k + 30 for r.
-4
Suppose -717 - 747 = -4*f. Let p = 370 - f. Solve p = -2*y + 3*o, -y = -5*y + 4*o for y.
4
Let q(c) = -4*c**2 - 18*c - 3. Let k be q(-4). Let m = 1792 + -1787. Solve m*r - 25 = -b, r = k*b - 2*b + 5 for b.
0
Let x = -159 - -225. Let d be (16/6)/(44/x). Solve 2 = -c, d*c = -2*k + 3*c - 6 for k.
-2
Let o = -1905 - -1910. Let s be (-4)/3*(-9)/6. Solve h - s*r = 5*h + 6, -18 = h - o*r for h.
-3
Suppose -203*o + 205*o - 622 = 0. Let r = o - 306. Suppose -b = -0*b - 5. Solve r*d + 22 = n, -5*n - 35 = b*d + 5 for d.
-5
Let i be 50 - (2/(-3))/((-2)/(-9)). Let c = 113 - i. Let l = c - 56. Solve 8 = 4*a + 5*u + 38, -l*u - 3 = -a for a.
-5
Let f = -10 - -12. Let z(m) = -33*m + 957. Let o be z(29). Solve -2*x + f*a - 2 = 0, o*x - 5*x + 23 = 2*a for x.
3
Let b(k) = -69*k + 5. Let q be b(0). Solve q*c - 23 = -3*n, 3*n + c = -2*n + 9 for n.
1
Let k(s) = 3*s + 19. Let m be k(3). Suppose m + 17 = 9*x. Suppose -4*o = -x*o + 30. Solve 2 = -y, -2*t - 5*y = -7*t + o for t.
4
Suppose 3*x - 19 = -4*p, 2*x + 6*p - 4*p = 12. Let q be 29 + (0 - (1 - 0)). Solve -q = 5*i - 2*z + 3*z, x*i - z = -22 for i.
-5
Let m(n) = -3*n**3 - n**2 + 4*n - 7. Let c be m(-2). Solve 0 = 2*g + 5*y + 7 + 8, 15 = 4*g - c*y for g.
0
Suppose 0 = -h - 2*h - c + 172, 5*h - 298 = 4*c. Suppose -h*a + 62*a = 92. Suppose -4*p + 131 = a. Solve 0 = -3*q + 4*w - p, w - 7 = 3*q + 11 for q.
-5
Let y be -1 + (-3 - (-7 + 12/4)). Suppose 0 = -y*h - 3*h - 4*g + 4, -2*g = -4*h - 2. Solve -4*r + 16 = 4*v, 5*r + h*r - 10 = 0 for v.
| {
"pile_set_name": "DM Mathematics"
} |
*k - k**2 + k - 5*k to the form i + a*k + v*k**2 and give i.
-1
Express (107 - 74 - 89)*(n - 5*n + 2*n + 3*n) as k + j*n and give j.
-56
Express -2*o + 7 + 5 - 15 in the form l*o + p and give l.
-2
Rearrange 2 - 5*v**2 + 5*v - 6*v - 16*v**3 + 3*v**2 to the form z*v**2 + s*v + o + b*v**3 and give b.
-16
Rearrange -2*k**3 - 2*k**2 + 7*k**2 - 7*k**2 - 2 to the form q*k**2 + a*k**3 + g*k + i and give q.
-2
Express 183*a - 25*a + 67*a - 25*a in the form b*a + w and give b.
200
Rearrange 988 - 2*q**2 + 4*q**3 + q - 989 - 5*q**3 - 6*q to t*q**2 + k*q + a*q**3 + p and give t.
-2
Rearrange -v**2 + v**3 - v + 3*v**4 - 2*v + v - 5 + 3 to the form z*v**2 + g + f*v**3 + k*v + w*v**4 and give f.
1
Express 46 - 46 + 21*u**2 in the form f*u**2 + k*u + q and give f.
21
Express 4*l + 4*l - 16*l + 10*l + l**2 in the form m*l**2 + g*l + f and give g.
2
Rearrange (j**3 - 2*j**3 + 2*j**3)*(2 + 1 + 7 - 2*j) to the form p + k*j**4 + o*j + b*j**2 + y*j**3 and give k.
-2
Rearrange (0*u + u + 0*u)*(-10 - 5 - 4)*(-5*u**3 + 5*u**3 + 2*u**3) to m*u**4 + p*u**3 + n*u + g*u**2 + h and give m.
-38
Express 0 + 0 - y**2 + (0 + 5 - 3)*(-y**2 - 2*y**2 + y**2) + 12*y**2 - 37*y**2 - 10*y**2 as u*y + h + q*y**2 and give q.
-40
Rearrange (-2 - 1 + 6)*(-2*v + 5*v + 0*v) + (0*v + 4*v - v)*(1 + 0 - 2) to g*v + z and give g.
6
Rearrange (3 + 0 - 5 + (1 + 4 - 3)*(-2 + 5 - 1))*(-2 + 2 - a) to the form u*a + j and give u.
-2
Express -4*j**2 - j**3 + 4 - 75*j - 4 + 2*j**4 + 77*j as d*j + n + s*j**2 + k*j**4 + h*j**3 and give h.
-1
Express -4*s**3 - 5*s**3 + 3*s**3 + (-6*s**3 + 2*s**3 + 3*s**3)*(6 - 14 + 3) as p*s + v*s**3 + m + d*s**2 and give v.
-1
Rearrange ((0*t + 9*t + 10*t)*(-2*t + 0*t + 0*t) - t + t + 2*t**2)*(-5 + 5 - 2*t) to o*t**3 + r + l*t**2 + h*t and give o.
72
Express q - 4*q - 5*q + 0*q as r + o*q and give o.
-8
Express -11*t - 2*t - 16*t + 7*t in the form b*t + c and give b.
-22
Rearrange -c - 3 - 1 + 3 + 2*c**2 - 6 to s*c + n*c**2 + z and give n.
2
Rearrange 2*v**2 + 8 + 2*v + v**3 - v**2 + 3 to u*v + k + i*v**2 + r*v**3 and give k.
11
Express 15*a + 4 + 8*a**4 + a**2 - 5 - 6*a**4 as n*a**3 + x*a**2 + l + d*a**4 + k*a and give l.
-1
Express 25*m + 9 + 8*m - 9 as q + k*m and give k.
33
Rearrange -7*q**3 + 3*q + 12*q**2 + q**4 - 36*q**2 + 13*q**2 + 9*q**2 to i*q**2 + p*q**4 + w*q**3 + t + g*q and give g.
3
Rearrange (2*d + d - d)*(-4*d**2 + 4*d**2 - d**3) - 2*d**4 - 4*d**4 + 2*d**4 to the form k*d + u*d**3 + r*d**2 + z*d**4 + y and give u.
0
Express 9*r + 2*r**4 - r**4 - 14*r + 1 in the form h*r**4 + t*r + m*r**2 + f + a*r**3 and give a.
0
Express -5*w + w + 3*w + (42 - 42 - 26*w)*(-4 + 4 + 4) - w + w - w - 2*w + 0*w + 0*w in the form a*w + d and give a.
-108
Rearrange -7*z - 2 + 0 + z + 7*z to f + h*z and give f.
-2
Express 0 - 4*b**3 + 5 - 2*b**2 - 6 as d*b + r*b**3 + z*b**2 + c and give z.
-2
Rearrange -9*z - 4*z + 0*z to the form a*z + v and give a.
-13
Rearrange 2*l**3 - 2 + 4*l**4 + 1 + 2*l**2 + 4*l**3 - 6*l**4 to x + r*l**4 + n*l**3 + c*l**2 + a*l and give r.
-2
Rearrange (2 - 2 - 2)*(4 + 0 - 5)*(278 - 278 - 48*m) to the form g*m + n and give g.
-96
Express (3*o - 2*o + o)*(-6 + 2 + 1) + (0 + 5 - 3)*(3 - 3*o - 3) in the form p*o + h and give p.
-12
Express n**4 - n**4 - 2*n - 7*n**4 + 4*n**3 + 8*n**4 as i + f*n**2 + p*n**4 + d*n**3 + x*n and give d.
4
Rearrange (2*q - q - 2*q)*(2*q + 13 + 5 - 17) to i*q**2 + u + n*q and give n.
-1
Express -22 + 22 + 9*r**2 + 7*r**2 as t + a*r**2 + c*r and give a.
16
Rearrange -5*k**2 + 2*k + 2*k - 6*k to the form o + t*k + r*k**2 and give r.
-5
Rearrange 3*h - 2*h**3 - 3*h**3 + h**2 - 4 + 10*h**3 + 0*h**2 to y + m*h + c*h**2 + v*h**3 and give v.
5
Rearrange 3 - 3*d + 11*d**2 - 12*d**2 + 1 to f + h*d**2 + j*d and give h.
-1
Express (0 + 0 - 2*o)*(2*o**2 - 2*o**2 - o**2) + 2*o**3 - 13*o**3 + 46*o**3 as y*o**3 + p*o + w*o**2 + k and give y.
37
Rearrange 9 - 2 - 12 + m to i + g*m and give g.
1
Express 0*m**2 + 2*m**2 - m**2 + (5 + 2*m - 5)*(-2*m + 2*m - 4*m) - 2*m**2 - 3*m**2 + 4*m**2 as a*m + p + z*m**2 and give z.
-8
Express 0 + 16*g - 1 + 4 - 18*g + 4*g**2 as v + c*g + m*g**2 and give v.
3
Express 2*r**3 + 5*r**4 + 0*r**3 - 4*r**4 + 28*r - 27*r as l*r**4 + d*r**3 + f + x*r + s*r**2 and give l.
1
Rearrange ((-4 - 3 + 5)*(0 - 2 + 1) - 1 + 1 + 3)*(-25*q + 42*q - 6*q) to the form r + t*q and give t.
55
Rearrange 5*w**2 + 0*w**3 + w + 2*w**3 - 4*w**2 + 16*w**2 to o + i*w**3 + j*w**2 + b*w and give i.
2
Rearrange 166*a**2 - 413 + 4*a - 4*a + 415 to the form u + d*a + l*a**2 and give l.
166
Express -1 + 2*a + 1 + (-2 - 3 + 3)*(2*a + a - 5*a) + 5 - 2*a - 5 - a + a - a - 2 + 2 + a + (0 + 1 + 0)*(3 + a - 3) as i + y*a and give y.
5
Express -22*u + 20*u + 0*u**3 - u**3 - 4 in the form r + f*u**2 + q*u + n*u**3 and give r.
-4
Rearrange 7*g**4 + 9*g**3 - 5*g**4 - 2 - 19*g**3 + (0 - 3 + 4)*(4*g**4 - 5*g**4 + 0*g**4) to z*g + n*g**4 + j + u*g**2 + w*g**3 and give j.
-2
Rearrange 3 - 3 + 2*d**2 + (1 + 2 - 2)*(-2 + 2 - 22)*(d**2 + 3*d - 3*d) to the form b*d + u*d**2 + f and give u.
-20
Rearrange 0*l**3 + 3*l - 6*l**4 + 2*l**3 - 2*l + 0*l**3 to the form o*l + d*l**3 + h*l**4 + q + b*l**2 and give d.
2
Express 63 + 0*c**3 + c**4 - 2*c**2 - 63 + c**3 in the form l*c + x*c**3 + u*c**2 + p*c**4 + d and give p.
1
Rearrange -56*x**2 + 54*x**2 + 3 + 5*x - x**3 - 3 to the form m*x + b*x**2 + h + o*x**3 and give h.
0
Express 2*s - s**2 + 0*s**3 - 2*s**2 + s**3 as q*s + p*s**2 + z*s**3 + v and give v.
0
Rearrange (1 - 1 + 3)*(6*g**3 - 11*g**3 + 6*g**3) to the form o*g**2 + x*g**3 + v + m*g and give x.
3
Express 4*d**2 - d**2 - 5*d**2 + (2*d + 0*d + 0*d)*(8 - 4*d - 8) as m*d + n*d**2 + l and give n.
-10
Express r**2 + 2*r**2 + 0*r**2 + 3*r**2 as f*r**2 + l + k*r and give f.
6
Rearrange 3 - 3 + 3*u - 6*u + 2*u + 3*u + (-3*u + 2*u + 2*u)*(6 - 3 - 2) + u - 6*u + 0*u to the form k + j*u and give j.
-2
Rearrange (a**4 - a**3 + a**3)*(3 + 5 - 2) to o*a**3 + k*a**4 + x*a + l*a**2 + p and give k.
6
Rearrange -14 + p + 6*p**2 + 3*p + 14 to a*p**2 + g + i*p and give a.
6
Express -16*w - 8*w - 7*w + 8*w as n*w + y and give n.
-23
Rearrange 2*w + 8*w + 2*w + 0*w to k*w + t and give k.
12
Rearrange (0 + 10 + 2)*(3*r - r - r)*(3*r + 2*r**2 - 3*r)*(2*r - 2*r + 3*r) to the form y*r + h + s*r**3 + i*r**4 + z*r**2 and give i.
72
Express -3*h**2 - h - 2*h**3 - 31 + 33 + h**2 + 4*h as o*h**3 + u + z*h + k*h**2 and give o.
-2
Express -4*i - 2 + 25*i + 2 in the form r + w*i and give w.
21
Express 3 + 1 - 4*a - 4 in the form w + g*a and give w.
0
Rearrange -3*q + 5*q - 11*q**2 - 3 + 5 to the form c*q**2 + i + v*q and give c.
-11
Express -26 + 3*w + 24 - 3*w**3 - 3*w + 8*w**2 as u + n*w + m*w**3 + y*w**2 and give u.
-2
Rearrange -y**3 + 3 - 2*y**3 + 8 to j + l*y + p*y**3 + n*y**2 and give p.
-3
Rearrange -5*a**2 + 7*a**2 - 2*a**2 + 2*a**3 + 16 to k*a**3 + m*a + g*a**2 + l and give k.
2
Express -w + 2*w**4 - 1 - 7*w**2 - 2*w**2 + 11*w**2 in the form x*w**2 + d*w**4 + z*w**3 + k*w + p and give k.
-1
Express -5*m + 3 + m**2 + m**4 - 4 + 3*m**3 + m + 2*m as s + v*m + d*m**4 + a*m**2 + u*m**3 and give u.
3
Rearrange (3 - 4 + 3)*(68*n**2 + 68*n**2 - 141*n**2)*(-n + 3*n - 4*n) to the form u*n**3 + f + w*n**2 + i*n and give u.
20
Express (0 + 1 - 3)*(5*w**3 - 7*w**3 + 7*w**3 + 2*w**2) in the form z*w**2 + n + y*w**3 + s*w and give y.
-10
Express -c**3 - 1249*c - 2*c**3 + 1257*c - 2 + 2*c**2 in the form v*c + u + s*c**3 + r*c**2 and give s.
-3
Rearrange (3 - 1 - 3 + k)*(k + 0*k - 5*k + (-2 - 2*k + 2)*(-3 - 4 + 5) + 8*k + 4*k - 2*k) to j*k + f + a*k**2 and give j.
-10
Rearrange 75*s + 2*s - 135*s to the form w*s + f and give w.
-58
Rearrange (0*w + 73 - 6*w - 74)*(-3*w - 2*w + 6*w + (1 - 2 + 2)*(-3 - 2*w + 3))*(16*w - 6*w - 19*w) to d*w**2 + z*w + l*w**3 + x and give z.
0
Express 46*a**3 + 1 - 44*a**3 + 2*a - a as m*a**2 + c*a**3 + s + w*a and give c.
2
Express (7*v - 9*v - 25*v)*(4*v - 4*v + v) in the form i + q*v + j*v**2 and give j.
-27
Express (-m - 6*m + 3*m)*(1 + 3*m**2 - 1)*(0 + 0 + 2) in the form y*m**3 + s*m + d*m**2 + n and give y.
-24
Rearrange a + a + 2*a + (2*a - a - 2*a)*(-2 + 3 - 3)*(-6 + 2 - 1 + (5 + 0 - 1)*(1 - 6 + 4)) to p*a + t and give p.
-14
Rearrange (-68*n + 72*n + 201*n)*(0*n - n + 0*n) - 2*n**2 - 1 + 1 to i*n**2 + x*n + y and give i.
-207
Rearrange -4*b + 2*b**2 - 2*b**2 | {
"pile_set_name": "DM Mathematics"
} |
13?
3
Suppose 4*f - 17553 = -g, 0*f + 4*f + 2*g - 17554 = 0. Suppose 9*x - f = -185. Suppose -5*r + 1174 = 4*w, -2*r + w + 0*w = -x. What is the tens digit of r?
3
Let f be (0 - 3) + 7 + (-3)/(-1). Let b be -40 + 2 + -4 + f. Let h = b + 133. What is the tens digit of h?
9
Let f = 4369 + -1618. What is the hundreds digit of f?
7
Suppose -y + 3*a + 5506 = -2197, 2*y + 4*a - 15376 = 0. What is the units digit of y?
4
Suppose -44*b - 67650 = 10*b - 696858. What is the units digit of b?
2
Let q = 397 + -391. What is the units digit of (-104)/q*1833/(-52)?
1
Suppose 12*g - 23*g + 679797 = -2*g. What is the tens digit of g?
3
Let t(c) = 3*c**2 + 2*c - 1. Let d be t(-4). Let a(g) = -19*g + 3. Let f be a(0). Suppose -d = -f*y + 69. What is the units digit of y?
6
Let m = 8 - 9. Let q be m/(-6) + (-20911)/(-66). Suppose 0 = -3*f + q + 145. What is the tens digit of f?
5
Suppose -2*r = -2*v + 83062, 4*v - 330*r - 166117 = -333*r. What is the thousands digit of v?
1
Let c = 41598 - -10959. What is the hundreds digit of c?
5
Suppose 6670 + 5776 = -5*q + p, 2*p + 12443 = -5*q. Let b = -560 - q. What is the tens digit of b/9 - (2 - (-16)/(-6))?
1
Let k = -579 - -640. Suppose 94414 = k*m + 901. What is the tens digit of m?
3
Let u(b) be the first derivative of 39*b**2/2 + 22*b - 12. What is the tens digit of u(1)?
6
Let x(w) = 69*w**2 - 2*w. Let l(c) = 14*c + 18*c - 48*c + 23*c**2 + 15*c. Let d(b) = -11*l(b) + 4*x(b). What is the units digit of d(-2)?
6
Let d be 10591/11 - 98/(-539). Suppose -d = -3*g + 1470. What is the tens digit of g?
1
Let s(l) = -2*l**2 + 2. Let w be s(0). Let z be (-822)/(-15) - 3/(-15). Suppose -f + z - 12 = 2*j, 5*j - w*f = 112. What is the tens digit of j?
2
Suppose -229*q + 266*q - 402819 = 0. What is the ten thousands digit of q?
1
What is the thousands digit of 743050/132 + -3*(-28)/(-72) + 1?
5
Suppose -2*c - j = -2980, -3*c + 4465 = 70*j - 66*j. What is the tens digit of c?
9
Let r(h) = 2. Let v(s) = 3*s + 35. Let x(g) = -3*r(g) + v(g). Let a be x(-8). Suppose 15 = 3*w, 2*m - 2*w = -3 + a. What is the units digit of m?
6
Let x be (-132)/(4 + (-90)/21). Let a = 142 + x. What is the hundreds digit of a?
6
Let d = 179 + -327. Let g = -89 - d. Suppose k - 48 = g. What is the units digit of k?
7
What is the thousands digit of (-13426)/28*140/(-49)?
1
Let w = -80281 + 139109. What is the thousands digit of w?
8
Let b(k) = -5*k**2 + 12*k. Let a be b(5). Let c = 68 + a. Suppose -4*h + c*h = -38. What is the units digit of h?
8
Let t = 55388 + -29121. What is the thousands digit of t?
6
Let h(u) = 3*u**2 - 46*u - 1205. What is the thousands digit of h(53)?
4
What is the thousands digit of (-1056)/180 + 6 + 487976/30?
6
Let u be ((-30)/(-15))/((-8)/2)*-22. Let t = -2 + u. Let l = t - -35. What is the units digit of l?
4
Let j = 15106 - 1609. What is the hundreds digit of j?
4
Let m(a) = 43*a**2 - a - 1. Let h be m(-3). Let r = 724 - h. What is the hundreds digit of r?
3
Let c(j) = -1089*j + 24370. What is the units digit of c(0)?
0
Let f(q) = -2134*q + 4116. What is the tens digit of f(-3)?
1
Let h(k) = 113*k**2 + 1. Let a(w) = -w**3 - 2*w**2 + 14*w - 7. Let b be a(-5). What is the units digit of h(b)?
3
Suppose -4*p = -q - 52342, 269*q = 4*p + 273*q - 52352. What is the units digit of p?
6
What is the hundreds digit of (673532/207)/(2/27)?
9
Suppose 2*m + 35 = 39. Suppose -2*j - 3*p = -674, -5*j - m*p + 1053 + 621 = 0. What is the hundreds digit of j?
3
Suppose 187 + 13 = 5*g. What is the units digit of (264/20)/(-1 + 46/g)?
8
Let i = -2022 + 5252. Suppose -4*o = -3*l - i, 4028 = 5*o - 13*l + 14*l. What is the units digit of o?
6
Let m(y) be the third derivative of -y**4/24 - 11*y**3/6 - 4*y**2. Let v be m(-16). Suppose 10 = -v*j, x - j - 141 = -48. What is the units digit of x?
1
Suppose 5*r - o = 41876, 28*r - 7*o = 24*r + 33476. What is the hundreds digit of r?
3
Suppose 8*i - 5*d - 699146 = 0, 5688 = -3*i - 3*d + 267897. What is the units digit of i?
7
Let f(m) = -m**3 + 11*m**2 - 18*m. Suppose 7*s - 5*i = 2*s + 20, 0 = 5*i - 25. Let a be f(s). Suppose -10*q + 158 + 172 = a. What is the tens digit of q?
3
Let b be -2 - (0 + -1 + -3). Let a(y) = -b*y**2 + 2*y**2 + 134*y**3 + 1 + 0 - y. What is the tens digit of a(1)?
3
Let b(p) = 5289*p - 1861. What is the units digit of b(9)?
0
Suppose 2*j = -3*g + 36750, -5*g + j + 5426 = -55811. What is the ten thousands digit of g?
1
Let s = 21848 - 12984. Suppose -39*o + 31*o = -s. What is the hundreds digit of o?
1
Let o = 374 + -374. Suppose -g - 75 + 254 = o. What is the tens digit of g?
7
What is the hundreds digit of ((-44)/(-16) + -3)/(0 - (-2)/(-176024))?
0
Let a(v) = -v**2 - 5*v. Let u be a(-6). Let x be u/4*4*(-13)/(-3). Let k = 12 - x. What is the units digit of k?
8
Let j(b) = 75*b**3 + 2*b**2 - 10*b + 5. What is the thousands digit of j(4)?
4
Let h(m) = -m + 7. Let g be h(13). What is the tens digit of (-8355)/(-10) - ((-21)/g - 2)?
3
Suppose -2*a - 5*k + 10*k = -6561, -a - 2*k = -3276. What is the units digit of a?
8
Let h(v) = -v - 6. Let k be h(-17). Suppose a - k = 9. What is the hundreds digit of 2/((a/(-4))/(-470))?
1
Suppose -a - 71 = -902. Suppose -g = -2*u + 290, 5*g + 5*u = -544 - a. What is the units digit of 4 - 9/(45/g)?
0
Suppose -2698 - 578 = -7*n + 5*n. What is the units digit of n?
8
Suppose -8 + 4 = -2*f. Suppose -2*b - s = -f*s, 0 = -2*b + 5*s - 16. Suppose 2*y - 4*r - 182 = 0, -5*r - 272 = -b*y - y. What is the tens digit of y?
8
What is the units digit of 14/28 + (-75724)/(-8)?
6
Let g = -27 + 29. Suppose 5*p - g*f - 362 = 2153, 0 = 5*f. What is the tens digit of p?
0
Let c(j) = 191*j**3 - j**2 - 5*j - 12. What is the thousands digit of c(3)?
5
Suppose -5*h + 1 - 7 = -a, 0 = -a + 4*h + 8. Suppose -a*k + 15884 = -8356. What is the tens digit of k?
1
Let r = 469 - -6489. What is the units digit of r?
8
Let v = -1279 + 7652. What is the thousands digit of v?
6
Let m(g) = 2*g + 67. Let u be m(-31). Suppose u*a = -a + 3204. What is the hundreds digit of a?
5
Suppose 11*d + 50350 = 9*d + 7*d. What is the units digit of d?
0
Let z(n) = -7 - 6*n**2 + 7*n + 29*n**2 + 46 + n**3. What is the units digit of z(-22)?
9
Let j(q) = 8*q**3 - 16*q**2 - 9. Let g(p) = -p**2 + 24*p + 5. Let o be g(24). What is the units digit of j(o)?
1
Let k = 972 - 1863. Let n = k + 1266. What is the tens digit of n?
7
Let k(p) = p**2 - 8*p + 12. Let i be k(7). Suppose -36 = i*t - 16. What is the tens digit of (-6 - -59) + (2 - t/(-1))?
5
Suppose 0*y - 18 = -2*v + 3*y, 0 = -4*v + 3*y + 42. Let t(r) = 4*r**2 + 8*r + 37. What is the tens digit of t(v)?
0
Suppose -4*r + 2*r + 3*z = -9, 3*z = -5*r - 30. Let i(c) be the first derivative of -c**4/2 - 4*c**3/3 + 1105. What is the tens digit of i(r)?
1
Suppose -s = 5*n - 93594, -n - 22*s + 23*s + 18726 = 0. What is the units digit of n?
0
Let r(q) = 5*q - 4*q + 1 + 6 + 0. Let o be r(-3). Suppose k = l + 128, -k - o*k = -3*l - 636. What is the units digit of k?
6
Let m(q) = 3*q**2 - 3*q + 31. Suppose 183 = -21*l + 15. What is the units digit of m(l)?
7
Suppose -66 + 218 = 8*x. Let b be x - -4 - 4 - 1. What is the units digit of b/(-45) - (34/(-10) + 0)?
3
Let s(y) = y**2 - 8*y - 31. Let v be s(11). Suppose 199 = -2*f - 2*u + 535, f - 153 = v*u. Suppose 12*t - f - 161 = 0. What is the tens digit of t?
2
Suppose -3*v = 3*q - 9, -v = -2*q - q - 3. Suppose -15*n + q*n + 1065 = 0. What is the units digit of n?
1
What is the thousands digit of 9/(-153) + (-344728)/(-34)?
0
Suppose 5*x - 6365 = -2*v + 9766, 4*x - 24179 = -3*v. What is the hundreds digit of v?
0
What is the thousands digit of ((-10)/3)/(1010/(-2701548))?
8
What is the ten thousands digit of 362/1629 - (-230954)/18?
1
Let l = 715 - -2755. Suppose -3*v = -5*g - 6*v + l, 0 = -5*v. What is the tens digit of g?
9
Suppose 0 = -3*j + 2*l + 2, -3*j - 2*j - l + 12 = 0. Suppose 12 - 110 = -j*z. What is the tens digit of 1799/z - 2 - (-4)/14?
3
Let l(p) = 135*p**2 + 302*p + 332. What is the units digit of l(18)?
8
Suppose -5*o - 8917 = -4*n, -2*n + 1326 = 5*o - 3155. Let p be ((-1)/3)/(-1)*39. Suppose 2*u = p*u - n. What is the hundreds digit of u?
2
Let g = 49053 - 33486. What is the units digit of g?
7
Suppose 2*q + 0 = -5*i + 4, 3*i = -q + 1. Suppose 802 = q*t + 620. What is the tens digit of t?
2
Supp | {
"pile_set_name": "DM Mathematics"
} |
et a = -3 + 7. Suppose -a*c + 21 = 145. Let p = c + 43. List the prime factors of p.
2, 3
Let k be 1 + 0 - (1 - 3). Suppose -2*i = -k*i - 5. List the prime factors of (16/(-20))/(1/i).
2
Let d(z) be the third derivative of z**5/20 - z**4/8 + z**3/2 - z**2. Suppose -4*b - 1 = -4*a + 7, -4*b = -2*a + 4. What are the prime factors of d(a)?
3
Suppose 62 = 3*k - 7. What are the prime factors of k?
23
Suppose -7*n + 504 = -0*n. Let t = -7 + 11. Suppose -t*x + n = -0*x. What are the prime factors of x?
2, 3
Suppose -147 - 147 = -2*c. What are the prime factors of c?
3, 7
Let r = -15 + -8. Let g = 6 - r. List the prime factors of g.
29
Let p be ((-2)/(-5))/(2/60). Let z = -6 + p. What are the prime factors of z?
2, 3
List the prime factors of 3/15 + (-1676)/(-20).
2, 3, 7
Let k(p) = p**3 + 6*p**2 - 6*p + 3. Let u be k(-7). What are the prime factors of (-1)/(-4) + (-139)/u?
5, 7
Suppose 0 = 5*w + 3*c - 32, -3*w + 3 = 4*c - 25. List the prime factors of w.
2
Suppose -2*i = 2*g + 2*i - 258, -5*i + 660 = 5*g. What are the prime factors of g?
3, 5
Let d = 11 - 6. Suppose -d*m + 20 = -10. Suppose -3*i + 6 = 0, -m*i = -f - i - 4. What are the prime factors of f?
2, 3
Suppose 22*q = 25*q - 138. What are the prime factors of q?
2, 23
Suppose 0*d = 2*d + 8. Let m be d/(-2)*10/4. Suppose 2*s + m = -5*n + 40, 5*n - 5*s = 70. List the prime factors of n.
3
Suppose -4*q - 16 = -4*k, 7 = -8*k + 3*k - 4*q. List the prime factors of (-30)/(-2) + (k - 3).
13
Let v(p) = p**3 + 7*p**2 - 2*p - 10. Let d be v(-7). What are the prime factors of (17/d)/((-5)/(-20))?
17
Suppose -4 = 2*q - 3*q. Let l = q + -11. Let j(x) = -x**2 - 8*x + 3. List the prime factors of j(l).
2, 5
Suppose -5*u + 69 = -2*u. Suppose 0 = 2*o + 5*z - 31, -o - 6 + u = 4*z. What are the prime factors of o?
13
Suppose -64 = -3*s - s. List the prime factors of s.
2
Suppose 6*p - p + 2 = 4*f, 7 = 5*f - 4*p. Suppose -f = -2*j + 5. Suppose -i - 18 = -j*w + 37, -2*w = -4*i - 38. List the prime factors of w.
13
Let l = 38 - 27. Let n = l + 1. What are the prime factors of n?
2, 3
Suppose -5*m = 36 + 69. Let j = m - -29. Suppose -j*f = -3*f + i - 56, 12 = -3*i. What are the prime factors of f?
2, 3
Let m(s) = 5*s + 39. List the prime factors of m(-6).
3
Let u = 31 + -11. Suppose -d - 5 = -3*i, -4*i - i - u = 4*d. Let f(x) = -x + 8. What are the prime factors of f(i)?
2
What are the prime factors of (9/(-6))/((-7)/434)?
3, 31
List the prime factors of (12/(-8))/((-4)/152).
3, 19
Suppose 0 = 4*o + o - 55. Suppose -2*t + 7*t = 0. List the prime factors of t + 6/(-3) + o.
3
Let b(d) = -d + 7. Let m be 29/(-5) + 3/(-15). List the prime factors of b(m).
13
Suppose 3*d - 846 = -3*d. List the prime factors of d.
3, 47
Suppose -3*d - 2*s = -0*d + 290, 5*d = 3*s - 496. Let y = -51 - d. List the prime factors of y.
47
Suppose -o = -5*t + 15, 0 = -4*t - 4*o - 2 - 10. Suppose -3*d - 15 = -t*c, -2*d + 5 = 15. Suppose c*v = 3*v - 18. List the prime factors of v.
2, 3
Suppose -4*p + 412 = -4*l, -2*p + 5*l - 192 = -4*p. List the prime factors of p.
101
Suppose -2*q + 5*u + 130 = 42, 0 = 2*u - 8. What are the prime factors of q?
2, 3
Suppose 5*s + 6 = 2*s + 5*x, -5*s + 21 = 2*x. List the prime factors of s.
3
Let n(r) be the third derivative of -9*r**6/40 + r**5/60 + r**4/24 + r**3/6 - r**2. List the prime factors of n(-1).
2, 7
Let z be (2 + -1)/((-2)/4). Let d be (6/(-15))/(z/20). Suppose 0*b - 16 = -d*b + 4*m, 0 = -b - m + 8. What are the prime factors of b?
2, 3
Suppose 4 = -2*x + 6*x. Let a be (x - 4 - -2) + 7. Let t(h) = 3*h - 8. List the prime factors of t(a).
2, 5
Let a be 2/(0 + 2/4). Let x be 1/2 + 14/a. Let i(c) = -c**3 + 6*c**2 - 4*c - 5. List the prime factors of i(x).
11
Let w = -115 + 233. List the prime factors of w.
2, 59
Suppose g - 3*w - 14 = 0, 0 = -4*g + 2*w - 4*w. Let n be g + -1 + -2 + 7. List the prime factors of 0 + n*(0 - -1).
2, 3
Let p(n) = -5*n**2 + 6*n**2 + 0*n**2 + 1 - n - 2 - 3*n**3. What are the prime factors of p(-1)?
2
Suppose -2*a + 3*o + 15 = 0, -2 - 23 = -5*o. What are the prime factors of a?
3, 5
Let g(s) = -8 + s + 8 + 7*s. List the prime factors of g(1).
2
Let r(a) = -2*a - 4. Let y be r(-3). Suppose -4*h + 4*j - 32 = 0, 3*h - 1 = y*j - 4*j. Let u = h - -5. List the prime factors of u.
2
List the prime factors of (36/(-3))/((-9)/12).
2
Suppose -4*k + k = 3, -46 = -5*d + k. Let c(w) = w**2 - 9*w + 3. Let p be c(d). Suppose -2*m + 25 = -5*q, 2*m - 5*m - p*q + 69 = 0. List the prime factors of m.
2, 5
Suppose d + d = -6. Let t = d + 13. List the prime factors of t - 3/(6/4).
2
Let u = 73 - -172. Suppose 0 = -7*s + 2*s + u. List the prime factors of s.
7
What are the prime factors of 50/6 + 4/6?
3
Suppose 2*w - 2*d = -w + 164, -w + 5*d = -59. What are the prime factors of w?
2, 3
Let u be ((-2)/3)/(1/(-3)). Suppose -c - 1 = -2. List the prime factors of (-4 + c)/(1 - u).
3
Let u(r) = r**2 - 6*r - 3. Suppose 6 - 30 = -4*l. Let g be u(l). What are the prime factors of 5*(-3)/(-3) + g?
2
Let w = 6 - 14. What are the prime factors of (-488)/(-22) + w/44?
2, 11
Suppose -122 = -5*o + 2*u - 14, -o + 4*u = -36. List the prime factors of o.
2, 5
Suppose f + g = -0*g, -5*g - 21 = -2*f. Let a be (-221)/(-4) - f/12. Suppose -2*d = 3*d - a. List the prime factors of d.
11
Let f = 7 + -10. Let h = f + 10. Let x = h - 1. What are the prime factors of x?
2, 3
Let d(o) be the third derivative of 1/6*o**4 - o**3 + o**2 + 0 + 0*o + 2/15*o**5 + 1/120*o**6. What are the prime factors of d(-7)?
3, 5
Suppose 0 = -r - r - 10, 2*r + 130 = 4*v. What are the prime factors of ((-10)/v)/(2/(-198))?
3, 11
Suppose 4*s + s = 25. Suppose -66 + 21 = -s*t. What are the prime factors of t?
3
What are the prime factors of ((-2)/(-1))/(4/62)?
31
Let a be (-1 + 10)/((-42)/56). List the prime factors of (1 + (-7)/2)*a.
2, 3, 5
Let s = 8 - 14. Suppose 0 = 2*j + 5*k, -2 - 13 = 5*j + 5*k. List the prime factors of (s/(-4))/(j/(-10)).
3
Let j(o) = -o**2 + 20*o - 25. What are the prime factors of j(18)?
11
Let b(n) = -11*n - 5. List the prime factors of b(-3).
2, 7
What are the prime factors of -89*(0 - (-2)/(-2))?
89
Suppose -5 = l - 42. Let q = l - 20. What are the prime factors of q?
17
Suppose -2*t + 17 + 9 = -3*r, -2 = 2*t + 4*r. Suppose -2*h - t + 45 = 0. What are the prime factors of h?
19
Suppose 4*z = 6*z - 150. What are the prime factors of z?
3, 5
Let o(f) = -f**3 + 18*f**2 + 25*f - 22. What are the prime factors of o(19)?
2, 23
Suppose 2*c = c + 3, 3*f - 4*c = 30. What are the prime factors of f?
2, 7
Suppose 7*x - 3*x = 204. List the prime factors of x.
3, 17
Let k be (-443)/(-9) - (-4)/(-18). Let h = 90 - k. Suppose -11 = 5*g - h. What are the prime factors of g?
2, 3
Let p(b) = -b**2 - 14*b + 28. List the prime factors of p(-9).
73
Let b(w) = -w**3 + 12*w**2 - 10*w - 14. Let g be b(11). Let z = g - -12. List the prime factors of z.
3
Suppose 2*g - 3*g + 2 = 0. Suppose -g*q = -q. Suppose q = 3*i + 7 - 40. List the prime factors of i.
11
Let p be 2/(-8) + 27/12. Let u(d) = 2*d**2 + 4*d. Let s be u(-3). Suppose -p*f + s = f. What are the prime factors of f?
2
Let z(g) = 5*g**2 + 3*g - 6. What are the prime factors of z(-4)?
2, 31
List the prime factors of 340 - (-21)/(-14)*2/3.
3, 113
Let t be 8*(4/(-8) + 1). Suppose -3*z + 0*z + 68 = 5*j, -j = 3*z - t. What are the prime factors of j?
2
Let b(x) = -x**3 + 5*x**2 + 6*x + 2. Let n be b(6). Suppose 28 = 2*r + 2*t, -n*t + 19 + 29 = 4*r. List the prime factors of r.
2, 5
Suppose 4*p - 4*i + i = 14, -p + 2*i + 1 = 0. Suppose -3*o = 2*v - 4*o - 23, 5*o + p = 0. What are the prime factors of v?
11
Suppose -6*f = -5*y - 3*f + 9, 3*y = 4*f + 12. Suppose -4*m + 50 - 18 = y. Suppose -6*w + m = -2*w. What are the prime factors of w?
2
Let a(b) = 2*b**3 - 6*b**2 + 3*b + 2. Let v be a(2). Suppose 2*l = k + 5, 22 = 5*l + 2*k + 5. Suppose v = l*g - 41 + 5. List the prime factors of g.
2, 3
Let j(w) = 5*w + 1. Let a be j(1). Suppose z + a = -0. Let g(h) = -h**3 - 5*h**2 + 5*h + 4. List the prime factors of g(z).
2, 5
What are the prime factors of 41 - (16/(-4) - 0)?
3, 5
Let a(i) = i**2 - 3*i - 5. Let y be a(5). Suppose -y*j + 16 = -j. What are the prime factors of j?
2
Let h = 3 - -32. List the prime factors of h.
5, 7
Let n(h) = -2*h**3 - 2*h**2 + 4*h + 5. Let u be n(-2). Suppose -y - | {
"pile_set_name": "DM Mathematics"
} |
Suppose 12 = 3*l - 0. Suppose l*g - 5*g + 14 = 0. Let y be (-156)/105 - (-4)/g. Which is smaller: 0 or y?
y
Suppose 6*f - 10 = 4*f. Suppose 5*i - 7 - 8 = 0. Is i < f?
True
Let r = 10168/3975 - 76/159. Let d = 478/225 - r. Which is smaller: 0 or d?
0
Let u = -53773/4 + 13548. Let k = 104 - u. Which is smaller: k or -1?
-1
Suppose 2*o = 6*o - 5*r - 137, 5*r = -25. Which is bigger: o or 1?
o
Let h(z) = -z**2 + 5*z - 2. Let u be h(2). Suppose 0 = -2*t + 2*k + 10, u*t = -5*k + 3 - 1. Which is greater: -0.1 or t?
t
Suppose 5*c - 2*c = 6. Suppose 0 = -2*s + 2*a, -a - c*a = 6. Which is smaller: 8 or s?
s
Let f = 0.4 + -0.2. Let h = f - 0.3. Let u = -0.1 - h. Is 2 at most u?
False
Let u = -5 - 1. Does -4 = u?
False
Let d be (-1)/((-3)/(-1))*1. Let g = -40/3 - -206/15. Is g at most d?
False
Let t = 2 + -3. Suppose 4*l - 3 = -s + 2, 3*s - 5 = -2*l. Let q = s + 0. Are t and q non-equal?
True
Let n(s) = -s**2 + 10*s + 6. Let u be n(9). Suppose 2*i - 2 = 2*l, 0*i = -3*l - 3*i + u. Let g = -3 + l. Is -1 less than or equal to g?
True
Suppose 4*g - 27 = g. Let n be (-21)/g + 2*1. Let m = -1 - -1. Is m greater than or equal to n?
True
Let r be 3 - (0/3 - 0). Suppose -r*z = 2*v - 6*z + 1, -5*v - 5*z = -35. Suppose -5*y + y + v = 2*a, -5*a = -20. Is y at most -0.2?
True
Let t be 20/8*3/(-15). Is t less than 0?
True
Let g = 18 - -3. Suppose 6*i + g = 5*i. Let d be 2 + 1 - (-57)/i. Is d > 2?
False
Let i be (-26)/336 + 6/21. Let q = 1/8 + i. Is q smaller than -0.05?
False
Let d = 7 + -2. Suppose 0*p = -d*p + 40. Suppose -2*i - p = -4*x + 4, -4*x - i = 0. Is x <= 1?
True
Let a(v) = -v**2 + 8*v - 5. Let g be (-2)/(-8) - (-76)/16. Let n be a(g). Let x(u) = u - 12. Let f be x(n). Is -1/2 less than f?
False
Let t = -1.08 + 0.08. Let w = 4 + t. Do w and 1 have the same value?
False
Let y = -4 + 4. Suppose 0 = 3*l - y*l + 6. Is l < -11/5?
False
Suppose -3*z = n + 4, 2*z - 4*n + 1 = 3. Which is greater: z or 2?
2
Let q(f) = f + 11. Let l be q(-9). Suppose l*z = 4*z. Which is smaller: z or -3/4?
-3/4
Let u = 11 + -22. Suppose 0 = -f + 5, -i + 3*f = -f + 32. Which is greater: u or i?
u
Suppose -2*l - h = 2*h, l = h. Let n = -3 + l. Is -2 less than n?
False
Let a be 4*(-2)/(-44) - 136/1232. Let r = 1 + -2. Do r and a have the same value?
False
Let o(p) = -p**2 - 7*p - 13. Let m be o(-3). Is m smaller than -10/17?
True
Let i = 7 + -3. Suppose -i*g + 1 = 3*q - 5, 0 = -5*g. Let x be (-4)/48 - q/(-6). Is x at least 3/5?
False
Let y = 1 + 1. Suppose 30 = 3*g + 2*g - 4*i, y*g + i + 1 = 0. Which is smaller: g or 3/4?
3/4
Let z(h) = h**2 - 2*h - 5. Let v be z(4). Suppose 0 = 2*q - 7 - v. Is 5 less than q?
False
Suppose -3*u + 6 - 3 = 0. Is u at most 1/16?
False
Suppose 0 = -2*o + 1 + 3. Suppose 0*v = -o*v + 18. Suppose 0 = -5*f + 2*x - v, -2*x + 3*x + 3 = -5*f. Is f at most -1/6?
True
Let x = 13 + -11. Suppose -h + 4*h + 6 = 0. Let o be x - (1 + -1)/h. Are 3/4 and o non-equal?
True
Let x = -96 + 97. Is x < -1/61?
False
Let v be (-4 + -2)/3 - 2. Let c(q) = q**3 + 4*q**2 + q + 4. Let k be c(v). Which is greater: k or -3?
k
Let v = -6 - -4. Let i = -2.1 - v. Do 3 and i have different values?
True
Let l = 943 + -44323/47. Is l bigger than -1?
True
Let o be ((-2)/12)/(2/56). Let j = -5 - o. Is -1/4 >= j?
True
Let v = 3 + -1. Let s = 0.4 - -2.6. Let w = s - v. Which is greater: 1/2 or w?
w
Let i = -5 + 5.1. Let y(b) = -b + 4. Let g be y(-4). Let j be (-2)/g - 15/20. Which is smaller: j or i?
j
Let h = -10 - -26. Let s = h + -6. Suppose -4*t + 2 = s. Is -3 at least as big as t?
False
Let g be 7/(-28) + 34/8. Let a = 5 - g. Suppose -2*d + 0*v = v - 5, -d - 5*v = -7. Which is smaller: d or a?
a
Let r = -2.1 - -2. Let f = -0.09 + 4.09. Let c = f - 4.4. Which is smaller: c or r?
c
Let h be (-2)/4*(1 - -1). Let c = 0.1 + -0.1. Is c smaller than h?
False
Let a = -5 + 5. Let k = a - 4. Which is greater: 0 or k?
0
Let h(o) = -o**3 - 6*o**2 - 5*o + 3. Let k be h(-5). Suppose -4*p + 6 = -2*y, -2*y + 0 = -p + 6. Suppose u = -p*u + k. Which is greater: 1 or u?
u
Let s(o) = o**3 - 5*o**2. Let r be s(5). Which is greater: r or 2/5?
2/5
Let p = -6 + 7. Is -2/5 != p?
True
Let j(z) be the first derivative of -3 + 2/3*z**3 + 3/2*z**2 + 0*z - 1/4*z**4. Let d be j(3). Is d < 0?
False
Let k(n) = -n**3 + 5*n**2 - 7*n + 12. Let v be k(4). Is v greater than 0?
False
Let d = 53/10 + -29/5. Is -1/5 >= d?
True
Let q be 12/(-15)*-5 - 10. Which is bigger: -5 or q?
-5
Let d = 10.82 - 3.96. Let p = 0.14 + d. Is -1 equal to p?
False
Let u = 131.5 + -133. Which is smaller: 2/11 or u?
u
Let p = -81/65 - -24/13. Which is smaller: -0.5 or p?
-0.5
Suppose -4*h + 16 = 2*g, -8 = -h - h + 5*g. Which is bigger: h or 3?
h
Let x(p) be the first derivative of -1 - 9*p - 1/3*p**3 - 11/2*p**2. Let l be x(-10). Which is smaller: 0 or l?
0
Let l = 114 + -1367/12. Are l and -1 equal?
False
Let f(u) = 2*u**3 + 8*u**2 + 5*u - 1. Let i be f(-5). Is i greater than -77?
True
Suppose 0 = -5*x + 2*x. Let v be ((-8)/(-12) - 0)*3/(-13). Which is smaller: v or x?
v
Let r(s) = -s**2 + 5*s - 2. Let t be r(4). Which is greater: 1 or t?
t
Let q(x) = -x**3 + 2*x**2 + 6*x - 4. Let h be q(4). Which is smaller: -14 or h?
-14
Let g = -6 - -8. Let h be g*((-5)/(-2))/(-5). Suppose -2*a + 5*a = 0. Is a < h?
False
Suppose 3*x - 30 - 18 = 0. Let l = x + -18. Suppose 2*c = 5*c + 3. Is l smaller than c?
True
Let t be 6/(-5)*(3 - -2). Let o be -3 - (-11 + t/(-2)). Is 5 at least o?
True
Let r be (-88)/(-561)*(-3)/8*2. Is r < 0?
True
Suppose -2*q + q - 4*l = 148, -3*l = 2*q + 321. Let j = q - -1174/7. Is -1 at least j?
False
Suppose 0 = -0*l + 5*l - 10. Suppose -l*w + 8*a - 3*a - 2 = 0, w - 2*a = -1. Let k be w*2/(-1) - 2. Which is smaller: -1 or k?
-1
Let b = 10 + -6. Let p be 16/b - (-1)/1. Let u = 36 - 37. Which is greater: p or u?
p
Let z be ((-24532)/(-64))/(7 + -2). Let y = -655/16 - z. Let k = y + 118. Is k bigger than 0?
True
Let h(y) = -2*y**3 + y**2. Let z be h(-1). Let a = 16 + -10. Let q(x) = -x**3 + 7*x**2 - 6*x + 4. Let g be q(a). Which is greater: g or z?
g
Let q = 5 - 1. Suppose -4 = q*w - 0. Which is smaller: w or -3/7?
w
Suppose 3*f - f + 8 = 0. Let i be 1/(-1)*f/(-8). Is -0.5 at least as big as i?
True
Let y be (-5)/(-2)*(-6 + 8). Suppose 2*b + 2*b + z = -32, -y = 3*b - 4*z. Are -6 and b equal?
False
Suppose 4*o - g + 4 = 0, -4*o + 0*g - 3*g - 4 = 0. Let p = -2 - o. Which is greater: -2/15 or p?
-2/15
Suppose -4*n + 4 = 5*y + 23, 0 = -4*y - 12. Which is smaller: n or 1/28?
n
Suppose 0 = 2*w - 5*w + 21. Let l(b) = -b + 4. Let j be l(w). Let h = -3 - j. Which is bigger: h or -1?
h
Let x = -87/160 - -8/15. Let u = -35/288 - x. Is u at least 1/2?
False
Let k(l) = 4*l - 3. Let c be (2/4)/((-4)/(-16)). Let z be k(c). Suppose 3*v = -1 - z. Which is smaller: v or -1?
v
Let x = -11 - -7. Let g = -18 - -17. Let l = g + 1. Which is smaller: x or l?
x
Let n be (-2)/1 + (-25)/(-15). Let r = n + -1/6. Is -0.3 at least r?
True
Let c = -0.13 - 0.37. Which is bigger: -2 or c?
c
Let y(o) be the first derivative of -3*o**2/2 + 4*o - 2. Let q be y(3). Suppose -5*f + 5 = -5*r, -r = -3*f - 10 + 3. Which is smaller: q or f?
q
Let z be 5 + -1 + (-9)/3. Let l be 2/2 - 5/7. Which is greater: l or z?
z
Let g = -226 - 419. Let t = -17417/27 - g. Is 0 not equal to t?
True
Let x = 0.2 + 0.8. Let l = 2.5 - 2.7. Which is bigger: x or l?
x
Let u = -4/11 + -2/55. Let r = 5 + -2. Let i be r + (-7 - (-4 + 2)). Which is smaller: u or i?
i
Let t = -44.8 + 45. Which is bigger: t or -1/3?
t
Suppose o + 3*o = 0. Let n(x) = x**3 + x**2 + 2*x + 3. Let r be n(-2). Let w(t) = t**3 + 6*t**2 + 6*t + 5. Let y be w(r). Do y and o have different values?
False
Let h = -16 + 9. Let r = h - -9. Suppose 0 = u - r*u + 1. Which is bigger: 6/5 or u?
6/5
Let y = -66/5 - -196/15. Is -1 less than or equal to y?
True
Suppose -10 = 2*m, 2*d - 3*m - 59 = 4*d. Let j = d - -20. Which is smaller: j or -1?
j
Let b = -2.2 - -2. Let d = 0.2 - -1. Let z = b + d. Is -0.1 != z?
True
Suppose 0*k - 4 = 4*k. Let f(w) = 3 - 4 + 4*w**2 - 3*w**2. Let a be f(k). Is -0.1 >= a?
False
Suppose 0 = 4*y - 2*y + 5*m + 6, -y - 2*m - 2 = 0. Suppose 0*p + 52 = y*p. Suppose 5*f = 1 - p. Which is smaller: -6 or f?
-6
Let g be 0 + -2 + 2*4. Let k(o) = o - 6. Let z be k(g). Let t be -4 + 2 - 8/(-6). Is t > z?
False
Let j be (4/(-14))/ | {
"pile_set_name": "DM Mathematics"
} |
Let q(x) = -x**3 - 25*x**2 - 11*x + 178. What are the prime factors of q(-25)?
3, 151
Let i be (-10)/40 - 1*(-3154)/8. Suppose -r + 5*c + 140 = 0, -r = 2*r - 2*c - i. What are the prime factors of r?
2, 5, 13
Suppose -33*b = -32*b + 4*g - 11650, 0 = -5*b - 2*g + 58196. What are the prime factors of b?
2, 11, 23
Suppose -7337 + 1497 = -10*o. Suppose 0 = z + 2 + 2, -4*w + o = 2*z. List the prime factors of w.
2, 37
Suppose -4*w - 25928 = 24*w. Let p = w - -1818. List the prime factors of p.
2, 223
Let y be 5*49/70*1*4. Suppose -y*a + 3530 = -4*a. List the prime factors of a.
353
Suppose 6*s - 2099 = 43. Suppose -17*l + s = -16*l. Let d = -134 + l. List the prime factors of d.
223
Suppose 24*h - 7*h - 275478 = -4*h. What are the prime factors of h?
2, 7, 937
Suppose 0 = -4*o + 2 - 6. Let r(c) = -39*c - 5. Let u be r(o). Suppose 2*p - u - 38 = 0. List the prime factors of p.
2, 3
Let t(s) = 74*s - 23. Let h be t(16). Let y = h + -802. What are the prime factors of (-1)/(-5) - y/(-5)?
2, 3
Suppose 24 + 8 = 4*y. Suppose 0 = 2*u + y*u - 30. What are the prime factors of -3*u/9*-55?
5, 11
Let t = 16398 - 4579. List the prime factors of t.
53, 223
Suppose 4*y - 35*r - 8842 - 24528 = 0, 0 = -4*y - 2*r + 33444. What are the prime factors of y?
2, 5, 11, 19
Suppose -23 + 5 = -6*h. Suppose 4*n + z - 5*z - 2408 = 0, -h*n + 2*z + 1810 = 0. List the prime factors of n.
2, 3, 101
Let s be ((-3)/6)/(10/7780). Let y = 396 + s. List the prime factors of y.
7
Suppose 0 = -3*y + t + 28810, 4*y + 3*t = y + 28794. List the prime factors of y.
2, 4801
Suppose -3*v = -5*u + 18478, 0 = -5*u - 79*v + 77*v + 18473. List the prime factors of u.
5, 739
Let d = 4255 - 3296. What are the prime factors of d?
7, 137
Let o(x) = -x**3 - 62*x**2 - 61*x - 1022. List the prime factors of o(-67).
2, 5, 2551
Let w be -559 + 2 + (-57)/19. Let h = 128 - w. What are the prime factors of h?
2, 43
Let p = 26953 - 8479. What are the prime factors of p?
2, 3, 3079
Let x(d) = -4*d**3 + 2*d**2. Let o be x(-2). Suppose -s - o = -6*s. Suppose -s*l - 56 = -280. What are the prime factors of l?
2, 7
Let j = 503 + 15545. List the prime factors of j.
2, 17, 59
Let f(w) = -w**3 + 43*w**2 + 25*w + 72. Let b be f(40). Suppose -3*y + 2431 = 2*o, -3*o + 1833 = -5*y + b. List the prime factors of y.
809
Let z be (8/(-10))/(52/(-10) - -5). Suppose 4*a + 12 = 0, 0 = -4*y + z*a + 550 + 334. List the prime factors of y.
2, 109
Suppose 0 = -3*j - 4*d + 911, -2*j - 416 = -4*d - 1010. Suppose 47*g = 44*g + 426. Let v = j - g. List the prime factors of v.
3, 53
Let o = -305 - -319. List the prime factors of o/(-21)*1455/(-10).
97
Let x = -1920 - -3239. List the prime factors of x.
1319
Let o(j) = 3*j**2 + 8*j - 5. Let g = 97 + -87. Suppose a = -3*q + 3*a - g, 20 = -5*a. What are the prime factors of o(q)?
5, 11
Let z = 14014 + -7362. What are the prime factors of z?
2, 1663
Suppose -c - 10736 = -9*c. Suppose 4*m = -4*s - 1784, -3*s - c = -0*m + 2*m. Let x = 646 + s. What are the prime factors of x?
2, 7
Let j(t) = -11*t - 86. Let w be j(-11). Suppose -2*g - 3684 = -5*b, -b = -w*g + 32*g - 729. What are the prime factors of b?
2, 3, 41
Suppose -5*j - 4*r + 2788 = 0, -5*r + 1627 = 4*j - 598. Suppose -j - 56 = -8*v. What are the prime factors of v?
7, 11
Let v(q) = -44*q + 12. Let i(g) = 44*g - 13. Let y(z) = -6*i(z) - 4*v(z). List the prime factors of y(-4).
2, 191
Suppose -56 + 47 = -3*j. Suppose -4*k + j*y - 8*y + 590 = 0, 2*k - 4*y = 282. List the prime factors of k.
5, 29
List the prime factors of ((-53686)/10)/((13 - 14)/(-2 - -7)).
17, 1579
Let c be 3*8/60 + (-35710)/25. List the prime factors of 2/(7134/c - -5).
2, 7, 17
Suppose 0 = 6*v - 4771 + 1975. Suppose 5*g = -3*s + v, -5*s - 33*g + 30*g = -766. What are the prime factors of s?
2, 19
Let a(s) = 956*s + 1095. List the prime factors of a(16).
37, 443
Suppose 14*k + 460788 = -2*k + 92*k. What are the prime factors of k?
3, 43, 47
Let q(x) = -15662*x**3 - 219*x - 218. What are the prime factors of q(-1)?
3, 23, 227
Let i(w) = 5*w**3 + 15*w**2 - 12*w + 14. What are the prime factors of i(10)?
2, 23, 139
Suppose 0 = -2*a + 3*u + 18, -3*a - 9*u + 25 = -13*u. Suppose -a*p + 2569 = 13*c - 18*c, 4*p = 2*c + 3430. List the prime factors of p.
2, 3, 11, 13
Let x(p) = -p**2 - p + 8. Let q be x(-3). Suppose -2*g - 1030 = -q*k - 4*g, -2055 = -4*k - 5*g. List the prime factors of k.
2, 5, 13
Let z(a) = 5*a**2 + 3*a + 1. Let u be z(-1). Suppose 3*f = -9, 2*h + 5*f - u = 6*f. Suppose h = 2*s - 147 - 45. What are the prime factors of s?
2, 3
List the prime factors of (-913876)/(-68) - 186/527.
89, 151
Let h(t) = 2091*t - 253. What are the prime factors of h(2)?
3929
Let a = -123 + 173. Suppose a = -74*f + 76*f. Suppose 20*y = f*y - 500. List the prime factors of y.
2, 5
Let f be 245/21 - (-2)/6. Let o be (-9)/f - (-54)/8. Suppose 0 = o*p - 4*p - 90. List the prime factors of p.
3, 5
Suppose 5*p = 5*c + 110, -5*c - 112 = 4*p - 7*p. Let f(t) = 2*t + 14. Let v be f(18). Let n = c + v. List the prime factors of n.
3
Suppose 4*c - 141317 = -5*k + 1191, 5*k - c = 142523. List the prime factors of k.
2, 7, 509
Let j be ((-128)/224)/(32/(-14) + 2). Suppose -j*y - 242 = -3*b, 5*b - 5*y = -10*y + 420. What are the prime factors of b?
2, 41
Suppose 2*v + 2*v - r = 24, 5*v = -r + 21. Let b be 12855/(-75) - 3/v. Let m = 9 - b. List the prime factors of m.
181
Let z(k) = -k**2 + 28*k + 32. Let n be z(29). Suppose 5*q - 4*s + 6*s - 3590 = 0, 4*s - 2154 = -n*q. List the prime factors of q.
2, 359
Let w(g) = 7*g**3 + 2*g**2 - g - 27. Let t be w(-6). Let b = 2704 + t. List the prime factors of b.
11, 113
Let g(m) = -2*m**3 - 3*m**2 - 19*m - 21. Suppose -5*q + 5*o - 50 = -0, -10 = -q - 4*o. List the prime factors of g(q).
3, 139
Let l(o) = o**3 + 28*o**2 + 30*o - 32. Suppose 197 = -6*p + 35. Let g be l(p). Let b = -91 - g. What are the prime factors of b?
2, 11
Let q be 5 + -5 + -4 + 4. Suppose q = 20*d - 23*d + 12. Suppose -n - 11 = -i, -n + d*n = -2*i + 27. List the prime factors of i.
2, 3
Let u(c) = 11*c**2 - 130*c - 357. List the prime factors of u(-28).
3, 7
Let c(m) = 71*m + 7. Let k(r) = -1. Let z(d) = -35*d - 7. Let f(g) = 4*k(g) - z(g). Let a(h) = 6*c(h) - 13*f(h). What are the prime factors of a(-2)?
61
List the prime factors of (1 + -115)*(-29735)/190.
3, 19, 313
Let y be (1 - (0 + 0))/(-31 + 43432/1403). Let b = -9 - -3. What are the prime factors of (-860)/b + y/69?
11, 13
What are the prime factors of (-402)/(-14) - 29 - (-66756)/14?
2, 149
Let d be 146*(39/(-6) - -6). Let i = d + 1066. What are the prime factors of i?
3, 331
Let y = -13386 + 22136. What are the prime factors of y?
2, 5, 7
Let p = -1308 + 5679. Suppose -28868 + p = -17*y. What are the prime factors of y?
11, 131
Suppose 9*g - 3*g = 18. Let b(q) = 8*q - 17. Let j be b(g). Suppose u + 258 = j*u. What are the prime factors of u?
43
Let c = -69409 - -112677. What are the prime factors of c?
2, 29, 373
Suppose 6797*y - 51384 = 6785*y. List the prime factors of y.
2, 2141
Let n(x) = 1450*x - 2549. List the prime factors of n(6).
6151
Let i = 268 - -103. Suppose 711 = 5*u + i. List the prime factors of u.
2, 17
Suppose -c - 160 = -5*c. Suppose 6*h = -4*h + c. Suppose 0*r - r - h*s + 277 = 0, -s - 1385 = -5*r. List the prime factors of r.
277
Suppose -3 = h, -154*c - 351727 = -159*c + 4*h. List the prime factors of c.
7, 13, 773
Let h = -29433 - -42317. List the prime factors of h.
2, 3221
Suppose 356933 = -20*k + 938793. List the prime factors of k.
47, 619
Let f(z) = -15*z**2 - 15*z + 98 + 0*z + 4*z - 16*z - 5*z + z**3. What are the prime factors of f(18)?
2, 13, 19
Let p = 2923 - -24795. List the prime factors of p.
2, 13859
Let v be 0/((1/(-3))/(26/(-78))). List the prime factors of ((-150)/8)/((v - -4)/(-112)).
3, 5, 7
Let n(i) = 5*i**2 - 3*i - 3. Let r be n(-1). Let f be (12 - 2 - r)/((-1)/1). What are the prime factors of (4/6)/(f*(-6)/4005)?
89
Let j = 1828 - 824. What are the prime factors of j/6 - 48/36?
2, 83
Let t be 6 + -5 + -6 - -68. What are the prime factors of (8/(-2))/(t/(-7056))?
2, 7
Let q = -6819 - -13295. List the prime factors of (-210)/(-84)*q/(-10)*-1.
1619
Suppose 12 = 5*s - 3. Suppose s*u - 5*u + 16 = 2*b, 4*u = 2*b - 4. Let d(x) = x + 14. What are the prime factors of d(b)?
2, 5
Sup | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of z(c) wrt c?
-78*c
Let s be 38/(-120) - 21/(-63). Let j(n) be the third derivative of 0*n + 0*n**4 - s*n**5 + 0 + n**2 - 1/6*n**3. Differentiate j(w) wrt w.
-2*w
Suppose 3*s - 359 = -2*n, 0 = -2*s + 2*n + n + 222. What is the third derivative of 9*z**2 - z + 108*z**3 + z - s*z**3 wrt z?
-54
Let g(n) = n**2 - n + 2. Let z be g(0). Let l be 5 - -1 - 0 - 1. What is the second derivative of 2*b**l + z*b**5 - 2*b**5 + 4*b wrt b?
40*b**3
Let s(h) = -23*h**5 + 5*h**4 + 23*h + 5. Let f(a) = 23*a**5 - 6*a**4 - 23*a - 6. Let l(x) = 5*f(x) + 6*s(x). What is the second derivative of l(g) wrt g?
-460*g**3
Let v be 3*-1*21/(-9). Find the second derivative of -6*a**2 - v*a**2 + 8*a**2 - 5*a wrt a.
-10
Let x = 7 - 5. Find the second derivative of 0*j + j**x + 4*j - j wrt j.
2
Let p(r) = r**2 + 2*r + 2. Let x be p(-2). Let a(j) be the first derivative of 4*j - 1 - 2*j - j**2 + x. What is the derivative of a(w) wrt w?
-2
Let b be -1*9*(-4)/12. Find the second derivative of -2*w**4 + 0*w**4 - 4*w**4 + 9*w**4 - b*w wrt w.
36*w**2
Suppose 3*x - a = 5, a - 7 = -x - 0. Differentiate 1 + 2*m**3 + 0 - 2 - x*m**3 wrt m.
-3*m**2
Let q(j) = -j**4 + 3*j**2 + 3*j + 2. Let x be 3/2*(3 + -5). Let a(w) = w**4 - w**2 - w - 1. Let n(g) = x*a(g) - q(g). Find the first derivative of n(b) wrt b.
-8*b**3
Let v(t) be the second derivative of 2*t + 2/3*t**3 + 0 + 3*t**2. Differentiate v(m) with respect to m.
4
Suppose -t = 2 - 6, -3*t + 16 = 2*x. Find the third derivative of -x*f**2 + 5*f**2 + f**2 - 2*f**4 wrt f.
-48*f
Let h(z) be the second derivative of 1/2*z**2 + 3*z + 0*z**3 - 1/2*z**4 + 0. Differentiate h(p) wrt p.
-12*p
Suppose 2 = -y + 4. Find the second derivative of -y*a - 6*a**2 - 3*a**3 + 3*a + 6*a**2 wrt a.
-18*a
Let n = 6 + -4. Let u be 4/2*n/4. What is the derivative of 1 + 5*o**3 + u - 3*o**3 wrt o?
6*o**2
Let d(g) be the second derivative of 3*g**5/20 - g**4/4 - 4*g. What is the third derivative of d(f) wrt f?
18
Let k(r) = -r**2 + 10*r - 2. Let w be k(9). What is the second derivative of 2*s + s - w*s + s**2 + s wrt s?
2
Suppose -4*i + 9 = -23. Let o(z) = 3*z - 14. Let d(y) = -y + 5. Let q(n) = i*d(n) + 3*o(n). Find the first derivative of q(w) wrt w.
1
Suppose 2*z - 5*z = -6. Suppose -3*c = 2*a + z*c + 9, -a - c = 0. What is the second derivative of j - a*j**3 - 2*j**4 - 2*j + 3*j**3 wrt j?
-24*j**2
Find the third derivative of -51*j**2 + 44*j**2 + j**6 - 8*j**6 wrt j.
-840*j**3
Let o(h) = -h. Let r = -6 - -10. Let z(t) = 2*t**2 + 6*t. Let w(g) = r*o(g) + z(g). Find the second derivative of w(n) wrt n.
4
Let s = 38 + -38. Let q(a) be the first derivative of -1/3*a**3 + s*a**2 + 0*a + 1/2*a**4 + 3. What is the third derivative of q(u) wrt u?
12
Let p be (1 - 2/(-6)) + -1. Let q(u) be the first derivative of 0*u**2 - p*u**6 + 0*u**5 + 0*u + 0*u**4 + 4/3*u**3 - 4. Find the third derivative of q(n) wrt n.
-120*n**2
Let z(s) be the second derivative of -s**4 - 5*s**2/2 - 4*s. What is the first derivative of z(i) wrt i?
-24*i
Find the second derivative of 27*l**3 - l - 11*l - 11*l**5 - 27*l**3 wrt l.
-220*l**3
Let c(m) be the first derivative of -5*m**3/6 - 5*m**2/2 - 4*m - 3. Let h(p) be the first derivative of c(p). What is the first derivative of h(r) wrt r?
-5
Let u = 10 + -10. Differentiate -3*x**3 + x**3 + u*x**3 - 4 wrt x.
-6*x**2
Let v(r) = r. Let h(k) = -k**2 + 6*k. Let a = -4 + 3. Let f(l) = a*h(l) + 4*v(l). What is the second derivative of f(d) wrt d?
2
Suppose 32 = 4*y + 4*m, 2*y - y - 23 = -4*m. Let r(q) = 2*q + 1. Let d be r(1). Differentiate -b**y + 0 + 2 + 3*b**d with respect to b.
6*b**2
Let b(t) be the first derivative of -9*t**6/2 - 3*t**3 - 20. What is the third derivative of b(n) wrt n?
-1620*n**2
Let l(t) be the first derivative of t**7/840 - 5*t**4/24 - 2*t**3 - 4. Let h(r) be the third derivative of l(r). Find the first derivative of h(y) wrt y.
3*y**2
Let g(x) be the third derivative of 0*x**6 + 0 + 0*x - 1/105*x**7 + 2/3*x**3 + 0*x**4 + 0*x**5 - 3*x**2. Differentiate g(n) wrt n.
-8*n**3
Let g(i) be the first derivative of -i**6/120 - i**5/60 + 2*i**2 + 8. Let c(l) be the second derivative of g(l). What is the third derivative of c(w) wrt w?
-6
Let r(p) be the second derivative of -p**8/6720 + p**5/30 + p**4/12 - p. Let l(j) be the third derivative of r(j). What is the first derivative of l(o) wrt o?
-3*o**2
Let h(b) = -11*b**2 - 6*b. Let x(f) = 32*f**2 + 17*f - 1. Let i be (-18 - 3/3) + 2. Let k(q) = i*h(q) - 6*x(q). What is the first derivative of k(m) wrt m?
-10*m
Suppose -2*a + 14 - 4 = 0. What is the derivative of 0 + 2 + a*w - 3*w + 0*w wrt w?
2
Let r(x) be the second derivative of 3*x**5/5 + 2*x**4 - 24*x. Find the third derivative of r(l) wrt l.
72
Let l(w) be the first derivative of w**6/3 + 19*w**2/2 - 1. What is the second derivative of l(a) wrt a?
40*a**3
Let m(u) = -22*u**3 - 5*u**2 - u + 1. Let b(j) = -j**3 + j**2. Let x(y) = -5*b(y) - m(y). What is the second derivative of x(c) wrt c?
162*c
What is the third derivative of 12*p**2 - 10*p - 8*p**4 + 12*p - 2*p wrt p?
-192*p
Find the third derivative of 3*l**3 + 12*l**2 - 10*l**2 + 8*l**2 wrt l.
18
Let h(i) be the first derivative of -4*i**6/3 + i**3 + 1. Find the third derivative of h(q) wrt q.
-480*q**2
Let a be ((-1)/3)/((-3)/45). Suppose 18 = a*p - 2. Find the third derivative of -4*h**2 + h**4 + 7*h**2 + h**p wrt h.
48*h
Suppose 6*l - 7 = 17. Let i(s) be the third derivative of 0*s**l + 1/30*s**5 + 0 + 0*s**3 + s**2 - 1/120*s**6 + 0*s. What is the third derivative of i(n) wrt n?
-6
Let h(j) = -j**4 + j**3 + j. Let i(s) = -2*s**4 - s**3 + s**2 - s - 15. Let o(x) = h(x) + i(x). What is the derivative of o(g) wrt g?
-12*g**3 + 2*g
Let b(k) be the first derivative of -34*k**5/5 + 27*k**2/2 - 23. Find the second derivative of b(c) wrt c.
-408*c**2
What is the first derivative of -3*a - 2*a + 2*a + 5 wrt a?
-3
Let m(g) = g - 5. Let d be m(6). What is the first derivative of -d - 3*r + 0*r + 2 wrt r?
-3
What is the derivative of 20 - 9 - 12 + 4*w**2 - 16 wrt w?
8*w
Find the second derivative of 83*y + 21*y**4 - 30*y - 40*y wrt y.
252*y**2
Find the third derivative of -1044*t**5 + 8*t**2 - t**2 + 989*t**5 + t**2 wrt t.
-3300*t**2
Suppose -27 = -5*l + 4*o, 5*o = 2*l - 0*o - 21. Suppose y - l = 4*t, 7*t + 2*y - 6 = 2*t. Find the second derivative of v + v**5 + t*v + v wrt v.
20*v**3
Let x(d) be the second derivative of d**5/2 - 5*d**3/6 - 4*d. Find the second derivative of x(w) wrt w.
60*w
Let h = 5 + 2. What is the second derivative of 2*a - a**4 - 2*a - 4*a + h*a wrt a?
-12*a**2
Let u(z) = 4*z**4 - 3*z**3 - 3*z**2 - 3*z - 19. Let h(o) = -o**4 + o**3 + o**2 + o. Let g(m) = -3*h(m) - u(m). What is the first derivative of g(f) wrt f?
-4*f**3
Let v(k) be the first derivative of -17*k**6/6 + 11*k**3/3 + 1. What is the third derivative of v(r) wrt r?
-1020*r**2
Suppose 5*u + 5*q = 25 + 15, -3*q = -5*u. Suppose 5 - u = c. What is the second derivative of -r**4 - r**3 + c*r + r**3 wrt r?
-12*r**2
Suppose 2 = -5*g + 3*g. Let r be (g/(-3))/((-4)/(-24)). What is the second derivative of 2*q**r + 2*q - 2*q**2 + 2*q**5 wrt q?
40*q**3
Let i(b) = 14*b**2 + 17*b + 29. Let v(u) = -5*u**2 - 6*u - 10. Let h be (-30)/(-4)*20/(-25). Let w(t) = h*i(t) - 17*v(t). What is the derivative of w(g) wrt g?
2*g
Let c(p) be the first derivative of 3*p**5/5 + p**4/2 - 9*p**2/2 - 31. Find the second derivative of c(n) wrt n.
36*n**2 + 12*n
Let i = -2 - -5. What is the first derivative of -i*q - 10 + 5 + q wrt q?
-2
What is the derivative of -11 - 12 - 8 + 45*h + 4 wrt h?
45
Let p(c) be the first derivative of -13*c**4/4 + 2*c**3 + 3. Find the third derivative of p(j) wrt j.
-78
Let g(o) be the third derivative of -o**8/168 + o**4/3 - 10*o**2. What is the second derivative of g(r) wrt r?
-40*r**3
Let x(w) = w**2 + 3*w - 5. Let j(p) = -p + 2. Let b(z) = 5*j(z) + 2*x(z). Let k be b(1). What is the derivative of 0 + 2*d**k + 1 + 1 wrt d?
6*d**2
Suppose 35 = 3*s + 5*q + 9, -2*s - 12 = -4*q. Find the second derivative of 4*y + 5*y + y + s*y**4 - 6*y wrt y.
24*y**2
Let m(l) be the second derivative of l**6/6 - 9*l**2 - 3*l. Differentiate m(w) wrt w.
20*w**3
Let g(s) = 4*s**3 - 15*s - 9. Let u be (-1)/2 - 18/(-4). Let b(h) = -2*h**3 + 7*h + 4. Let n(d) = u*g(d) + 9*b(d). Find the second derivative of n(k) w | {
"pile_set_name": "DM Mathematics"
} |
00, 602, 606?
612
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-638
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500
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34814
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1214343
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49378
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1114
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10067
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252685
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757257
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38940
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-4331074
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7754
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-994864
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-5458
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-316128
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1043
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-465800
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50537
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215463
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-8573
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294926
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-515
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-1350
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-208
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42529
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127817
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-1074
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-14035
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228578
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-1319
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65693
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330696
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-1656
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2988805
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931905
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-289150
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-384
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92118
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1755
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100192
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93580
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-22983
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-1096225
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12562
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-2151987
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7532
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-322858
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12845
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1073
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59094
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76012
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792190
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79386
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52459
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5596
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1052
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-4202
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-86
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505321
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3600
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7700
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1190
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182790
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-2893
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6027
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-1058645
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478
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2587
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207743
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55917
What is the next term in 829, 3242, 7273, 12916, 20165, 29014, 39457, 51 | {
"pile_set_name": "DM Mathematics"
} |
q.
-3
Suppose -2*j = 5*u - 12, -2*u = 2*j + 2*j - 8. Suppose u*b = -2*h - 2, -55 = -4*h + 5*b - 14. Solve 3*x = p - 15 + 2, 5*x + 16 = -h*p for x.
-4
Let l(s) = s**3 + 7*s**2 + 5*s - 3. Let v be l(-6). Suppose -d = -h + 10, 0 = -v*h - h + 3*d + 45. Solve -h = -3*z + 3*x, 2*z - x = 3*z + 1 for z.
2
Suppose 5*u - y = -50, -3*y + 17 = -3*u - 5*y. Let w be (u/15)/((-1)/5). Solve -3*m + w*z = -0*m - 3, -5*m - z + 11 = 0 for m.
2
Let y = 13 + -6. Solve 0*z + 25 = -3*z + 4*t, -5*z - 2*t - y = 0 for z.
-3
Let f(j) = 1 + 6*j**2 - j + j**2 - j**2. Let k be f(-2). Solve -2*o + 4*z = -3 + 21, 2*o + 5*z - k = 0 for o.
1
Suppose 0 = 3*m - 4*t - 25, 4*m + t - 1 = 7. Suppose 51 = 4*k - m*f, -k = -3*k - 2*f + 22. Solve 0 = 4*o + 2*g - k, 0*o = 2*o + 3*g - 14 for o.
1
Suppose 2*m - 6*m + 28 = 0. Suppose 2 = 4*v - f - m, 3*v = -4*f + 2. Let g be (-1)/(-1) + v/(-2). Solve 1 = i - 2*j + 2, 4*i - 5*j + 1 = g for i.
1
Suppose -2*k - 2 = 2. Let h be 75/10 + (-3)/k. Let w = -4 + h. Solve -w + 14 = l + 3*o, -4*o + 12 = 4*l for l.
0
Let x = -9 + 5. Let l(p) be the second derivative of p**4/6 + p**3/3 - 2*p**2 + 7*p. Let o be l(x). Solve 5*f + 5*i = -20, -5*f + 4 = i + o for f.
-3
Let y be (1 - 5)*(88/(-32) + 2). Solve -5*n - 15 = -2*l, -3*n - l - 5 = -y*l for n.
-5
Suppose -3*k + 13 - 7 = 0. Solve 3*i + 8 = -k*h, 0 = -4*i - 2*h - 14 + 2 for i.
-4
Suppose z = -4*z. Solve 9 = -2*s + 3*y, -s + y + z*y - 2 = 0 for s.
3
Let g be (25 - 16)/(4 - 1). Solve -5*h = -5*s - h, 0 = 5*s - g*h for s.
0
Let v = 27 - 24. Solve 0 = v*c + 3*t + t - 1, -2 = 2*c + 2*t for c.
-5
Suppose -5*q = -2*q - 9. Solve 0 = -5*a - 4*r - 5, a + 2*r + 10 = -q*a for a.
-5
Suppose -4*f = -0*f - 20. Suppose -f = -4*m - 1. Solve m = j + v, -2*j - 4*v = j - 8 for j.
-4
Suppose 3*h = -5*i - 4, -3*i - 2*h - h = 0. Let b be 0/((-2)/i*-1). Solve -s - m = -b*s + 2, -5*s + 17 = -4*m for s.
1
Suppose 0 = -4*m - m + z + 18, -2*z - 16 = -5*m. Solve -3*i + 3 = 15, i = -m*x - 12 for x.
-2
Let n be (23 + (-3)/1)/2. Solve 9 = 3*s + 3*o, 2*s = -0*o - 3*o + n for s.
-1
Suppose 12 = -6*p + 2*p. Let x be (-10)/(p/(6/4)). Solve -2*k + 3*m + 1 = 11, -4*k = -x*m + 20 for k.
-5
Suppose 0*s + 3*s = 6, 0 = 4*h + s + 2. Let t = h + 6. Solve 3*x - 26 = 5*i, -x - 10 = 4*x + t*i for x.
2
Let x(g) = -g**2. Let n be x(0). Suppose 3*k + 10 - 4 = n. Let i be 0 + k + -3 + 15. Solve 0 = 5*p + u + i, 0*p + p - u + 8 = 0 for p.
-3
Suppose 0 = 2*c + 4*s - 8, 5*c - 3*c + 2*s = 4. Let i = -120 + 123. Solve 0 = -2*l + 6*l + i*k - 8, c = 5*l - k - 10 for l.
2
Let n = -17 - -21. Solve -4*a + 4*p + 16 - 4 = 0, -5*a - n*p = -24 for a.
4
Let a(p) = p**3 + 5*p**2 + 2*p - 3. Let l be a(-4). Solve -h + 14 = -2*r + 4*h, 0 = -l*r + 2*h + 7 for r.
3
Let z = -37 - -43. Solve 2*b - z = 3*p, 0 = 7*p - 2*p + b + 23 for p.
-4
Suppose -2*q + 8 = 0, 0*a + 4*a = q + 12. Solve -a*l - 6 = 2*f, 3*f - 30 = 4*l - 9 for l.
-3
Suppose -4*w = 9 - 25, 3*w + 33 = 3*c. Let m be c/(-9)*-3 + 0. Solve -2*y = l + 5, -m*l + 5 = -3*l - y for l.
1
Let l(p) = -2*p - 3. Let g be l(-4). Let r(m) = -1 - 5 - 6*m + 8*m. Let x be r(g). Solve -2*z - 13 = x*o + 3, z - 22 = 4*o for z.
2
Let q = -13 + 75. Suppose 2*o - c = 83 - 15, 2*o - q = 4*c. Solve 3*j - l - 20 = 0, 2*j - 3*l = 2*l + o for j.
5
Let j(q) = 4*q + 1. Let l be j(1). Solve d + m = 4, -l*m = d - m - 1 for d.
5
Let k be 3/18*2*-3. Let y = k + 3. Solve -4*s - 2*l - 8 = 0, -5*s - 4*l - 8 - y = 0 for s.
-2
Let c be 2/(-7) - 96/7. Let a = c - -21. Solve -x = 5*h - 13, -3*h + a*h - 4*x + 4 = 0 for h.
2
Let t be (-9)/6 - (-9)/(-2). Let v be t/(-21) + 23/(-7). Let u be (-8 - 1)*v/9. Solve -5*w = 25, 0*s - 3*w - 30 = -u*s for s.
5
Suppose 2*m = -5 + 15. Suppose -m*k - 5 = 0, -67 = -3*s - 4*k + 19. Suppose -z - 6*d + 29 = -d, s = 5*z + 2*d. Solve a - 5 - 8 = 3*y, -2*a - 4 = z*y for a.
4
Let h(d) = -d**3 - 8*d**2 + 3*d + 1. Let u(y) = y**2 - y + 1. Let s(m) = h(m) + 3*u(m). Let j be s(-5). Solve 3*c = -t + 8, 0*t + t = j*c - 13 for c.
3
Let c = 4 + 1. Solve -4*l + 6*l - c*q + 5 = 0, -q - 1 = 0 for l.
-5
Suppose 2*b - 14 = 2*p, b - 1 = -p + 2. Solve -k - b = -6*g + 3*g, 0 = -2*g + 2 for k.
-2
Let c be (-2)/7 - (-46)/14. Let w be 5*(c - 2) - 3. Solve s + 0 = w, 5*f + 2 = s for f.
0
Let i be ((-2)/3 - 0)*(6 - 9). Solve -3*c + o - i + 4 = 0, -2*c = 5*o + 27 for c.
-1
Suppose -2*d + 2*s + 5 = -5, -2*s = 3*d - 40. Let t = d + -7. Solve 2*z = 3*r - 3*z - 5, -t*r - 5*z + 25 = 0 for r.
5
Let p(d) = -d**2 - 7*d - 6. Suppose -3*k - 17 + 5 = 0. Let o be p(k). Let b = -6 + o. Solve -c + 2 = 0, -j + 6*j - 3*c - 19 = b for j.
5
Let v be 8/12*3/(-2). Let a be (-5)/(-2 - (v + 0)). Solve -3*u + a*m + 16 = 0, -2*m + 2 = -5*u - 3 for u.
-3
Suppose 0 = -2*n - 0*n - 4. Let a = n - -4. Suppose 0 = -2*j + 18 - 6. Solve 5*q = -b + 3 + j, -a*q - b = -6 for q.
1
Let r be 1/(-5) + (-44)/(-20) + 3. Solve z - 2*l + 4 = 2, 0 = z + r*l + 2 for z.
-2
Suppose -137 = -11*q + 83. Solve 0 = -3*b + y - 5, 4*y - q = b - 0*y for b.
0
Let d = -1 - -3. Solve 16 = -4*h + 3*o, 4*h + d*o = -0*o + 4 for h.
-1
Let k be 1 + 3 + -4 + 3. Solve -4*y + 5*r - 19 = 6, k*y - 5 = -r for y.
0
Suppose 0 = -5*t + u + 6, 3*t + 5*u + 4 = 2*t. Suppose o + t = 2. Solve 0 = -2*z + z + 2*f + o, z + 5*f - 8 = 0 for z.
3
Suppose 19 + 11 = 5*x. Suppose -l = -x - 22. Solve -o = -5*o + 3*u + l, -4*o - 5*u = 4 for o.
4
Suppose -4*m - 10 - 13 = -5*y, -21 = -5*y + 3*m. Solve 5*o + 3*v - y = 2*o, -4*v = -2*o - 22 for o.
-3
Let g be 4/(1 - 1/5). Solve -g*a - 13 = f, 3*a + 4*f + 7 = -11 for a.
-2
Suppose -2*d = 5*r - 0*r + 21, 4*r = -20. Solve 0 = 3*b - v + d*v - 3, 5*b - 5 = 3*v for b.
1
Suppose -8*x = -3*x + 2*h - 116, 5*h = 15. Solve 0 = 3*c - p - 4*p + x, 7 = -3*c + 2*p for c.
1
Let h(g) = 3*g + 1. Let k be h(4). Solve -2*o + 3*c + 0 = -k, -4*o + 3*c = -17 for o.
2
Suppose 19 = 2*x + 9. Solve 4*q + 5*d - 5 = 0, -5 = -5*q - x*d + 5 for q.
5
Suppose 5*v = -0*v + 10. Let l(m) = -5*m - 10. Let n be l(-3). Suppose -p = -n*f - 13, 6*f + 16 = v*p + f. Solve 5*w = h - p*h - 6, 0 = -5*w + 4*h - 18 for w.
-2
Suppose 10*b = -0*b - 60. Suppose 0 = -3*l, 40 = 3*i + i - 5*l. Let k = b + i. Solve -4*m + 3*g = -0*g + 19, 0 = -k*m - 3*g + 11 for m.
-1
Let v(b) = b - 7. Let n be v(9). Let w = -14 - -30. Solve 4*a - 4 = d, -d = 3*d - n*a + w for d.
-4
Suppose 5*f - 2*i - 19 = 0, -4*f + i = -5*f + 8. Solve 15 = z - 2*m + 1, -5*z - 5*m - f = 0 for z.
4
Let v be (-2 + 0)*(-5)/2. Solve -x = v*d - 20, -3*x + x + 16 = 4*d for x.
0
Let m be (-16)/(-6) + (-3)/(-9). Let v be m + -1 + 0 - -2. Let z be 18/(-4)*v/(-6). Solve 5*y - x = -0*y, 5*y + z*x = -20 for y.
-1
Let z(b) = 15*b**2 + b - 1. Let t = 4 + -3. Let w be z(t). Let u = 21 - 19. Solve -4*h - u = -s - w, 0 = -3*h + 5*s + 14 for h.
3
Let z(u) = -u**3 + 6*u**2 + u - 3. Let n be (-124)/(-20) - (-1)/(-5). Let m be z(n). Solve -2*s - 5 = -a, -4*s - 2 - m = -3*a for a.
-5
Let b(c) = c**3 + 5*c**2 - 8*c + 2. Let d be b(-6). Suppose 5*z - d = -4. Solve -u + 3*u + z = -4*y, 0 = -3*y + 3*u - 6 for y.
-1
Let g be (-26)/(-6) - 8/(-12). Let x = 1 - 1. Suppose x = -3*u + 4 + 2, -4*u - 12 = -s. Solve g*b - 12 = 13, -s = 5*j - b for j.
-3
Let m be 2 - 3 - -2*2. Let q(v) = 3*v. Let g be q(3). Suppose g*s - 5 = 8*s. Solve -4*y - 40 = s*b, -4*b + 2*y = -m*y - 9 for b.
-4
Let z = -8 + 7. Let n be z/3*(-9)/1. Solve -2*h - 9 = 5*g, 2*g + h + 7 = -n*g for g.
-1
Let k(s) = 6*s - 5. Let l be k(-5). Let w be ((-21)/l)/(2/10). Solve 4*b - 5*g + 28 = 0, -w*g + 13 = 2*b + 5 for b.
-2
Let h be 1/(-3) - 120/(-36). Suppose 0 = h*b - 12, 3*z + 3*b = 4*z + 9. Solve -5*m + 5*x + 15 = -0*m, z*m + 9 = -3*x for m.
0
Suppose -1 = a - 4. Let i = a + 2. Suppose -1 = s - i. Solve 4*q = 2*z + 6, z + s*z = -3*q - 2 for z.
-1
Suppose 2*d = -3*h + 6*d + 179, -2*h + 150 = 5*d. Suppose -4*s + h = b, 0 = -5*s + 4*b - b + 60. Solve -4*v + s = 3*p, -3*v = -4*p - 0*p + 20 for v.
0
Let u(t) = 3*t - 6. Let k be u(3). Let w be 10/k - (-10)/(-30). Solve -8*r + 4*r = -w*n + 4, 0 = -2*r + 5*n - 16 for r.
2
Suppose 3*k + 6 = 0, -4*p = -2*p - 5*k - 10. Suppose -i + 4 + 1 = p. Solve 0 = 2*a + 3*f - 6, i*f = 15 + 5 for a.
-3
Suppose -11 = 2*s - 3. Let j be (s/(-5))/((-6)/(-15)). Let t be (-1 + 2 + -1)*-1. Solve 3*d + d = -2*w + 6, t = -j*d + 4*w + 8 for d.
2
Let v(x) = 2*x**2 + 2*x - 13. Let g be v(-4). Solve 0*j = 3*l + 3*j - 6, -2*l + | {
"pile_set_name": "DM Mathematics"
} |
15497*z**3 - 5170*z**3.
103*z**3
Collect the terms in -5*i + 416511289 - 416511289.
-5*i
Collect the terms in -12685512*y**2 - 720*y + 12685507*y**2 + 720*y.
-5*y**2
Collect the terms in 182*f**3 - 92*f**3 + 52*f**3 - 10*f + 10*f + 334*f**3.
476*f**3
Collect the terms in -3*m + m + 2685668 + 364484 - 698880.
-2*m + 2351272
Collect the terms in -897*z**3 + 959*z**3 + 306*z**3.
368*z**3
Collect the terms in 0*u**2 + 0*u**2 + 432*u**3 + 37*u**3 - 73*u**3.
396*u**3
Collect the terms in 30213131 - 60426266 + 30213135 - 3*s**2.
-3*s**2
Collect the terms in -1764865*h - 9 + 3529804*h - 1764866*h.
73*h - 9
Collect the terms in 81*n - 25156*n**3 + 25154*n**3 - 40*n - 41*n.
-2*n**3
Collect the terms in 70*b**3 + 128*b**3 + 137*b**3 + 154*b**3 + 120*b**3 - 590*b**3.
19*b**3
Collect the terms in 94 - 94 + 8272*w**2 + 287*w**3 - 8272*w**2.
287*w**3
Collect the terms in 8 - 4250210*o**2 + 2125108*o**2 + 2125100*o**2.
-2*o**2 + 8
Collect the terms in 4290*q + 0 + 4525*q - 2 - 233*q**2 + 231*q**2.
-2*q**2 + 8815*q - 2
Collect the terms in 2524*g**3 + 2544*g**3 - 7*g + 171*g**3 + 386*g**3.
5625*g**3 - 7*g
Collect the terms in -23*c**2 + 5*c**2 + 75 + 66 + 80 - 221.
-18*c**2
Collect the terms in 3668*d**2 - 955*d**2 + 1 - 1 - 1107*d**2 + 0 - 1304*d**2.
302*d**2
Collect the terms in -60*r**3 - 14 + 19 + 27*r**3 - 5 + 28*r**3.
-5*r**3
Collect the terms in -5*r**2 - 51*r - 544*r**2 - 127*r.
-549*r**2 - 178*r
Collect the terms in 33139*x**3 + 15923*x**3 + 3978*x**3 + 7457*x**3.
60497*x**3
Collect the terms in -537 - 542 - 610 - 539 - 3*x**3 + 2228.
-3*x**3
Collect the terms in 16*m**2 + 3*m**2 - 1300*m**3 - 18*m**2 + 1310*m**3 + 10*m**2.
10*m**3 + 11*m**2
Collect the terms in 4*w**2 - 2810*w**3 + 2790*w**3 + w**2 - 4*w**2.
-20*w**3 + w**2
Collect the terms in -367728*s - 367717*s + s**3 - 18*s**3 + 735445*s.
-17*s**3
Collect the terms in -166 + 29*j - 142*j + 42*j + 31*j + 35*j.
-5*j - 166
Collect the terms in 24*x + 18*x**2 - 31*x + 31*x - 17*x - 16*x**2.
2*x**2 + 7*x
Collect the terms in -1501 + 347 + 1326542*s - 1326555*s.
-13*s - 1154
Collect the terms in 4743315*z - 4743315*z + 24*z**3 + 76*z**3 + 17*z**3 - 23*z**3.
94*z**3
Collect the terms in 734*y + 730*y - 2894*y + 702*y + 334*y**2 + 729*y.
334*y**2 + y
Collect the terms in -156252 + 136349 - 2*j**2 + 19903.
-2*j**2
Collect the terms in 100617*a**2 - 129*a + 129*a - 100622*a**2.
-5*a**2
Collect the terms in -1663*n + 3322*n - 202*n**2 + 16 + 200*n**2 - 1659*n.
-2*n**2 + 16
Collect the terms in -639*p - 297*p - 584*p + 1667*p.
147*p
Collect the terms in -886*c + 236*c + 208*c + 212*c + 212*c.
-18*c
Collect the terms in -24*v - 18880 + 302*v + 18880.
278*v
Collect the terms in 72580272633 - 3*y - 72580272633 + 0*y.
-3*y
Collect the terms in -6703953*n + 1675990*n + 1675990*n + 1675989*n + 1675988*n.
4*n
Collect the terms in 617727*g**2 + 617641*g**2 - 1235434*g**2.
-66*g**2
Collect the terms in 308*p**2 - 10 - 15 + 26 + 708*p**2 + 255*p**2.
1271*p**2 + 1
Collect the terms in 4834*v**2 - 2415*v**2 + 9271*v**3 - 2419*v**2 + 3*v.
9271*v**3 + 3*v
Collect the terms in 215 + 164 + 851 + 18*d**2 - 1230.
18*d**2
Collect the terms in 10322*y - 2588*y - 2590*y - 2584*y - 2541*y.
19*y
Collect the terms in 270*v + 23 - 108*v - 1 + v - 22.
163*v
Collect the terms in 6*v + 26984 + 26989 - 53921 - 4*v.
2*v + 52
Collect the terms in 2840*h**2 + 81289*h**3 - 2840*h**2.
81289*h**3
Collect the terms in -1604*k - 1597*k + 1977*k + 1217*k.
-7*k
Collect the terms in 5355*c**2 + 5392*c**2 - 15994*c**2 + 5478*c**2.
231*c**2
Collect the terms in 96541*g - 4 - 3 - 1 + 4.
96541*g - 4
Collect the terms in 1371*q - 794637 + 794637.
1371*q
Collect the terms in 15*h**2 - 1248*h - 28394 + 28394 + 2494*h - 1251*h.
15*h**2 - 5*h
Collect the terms in -69*g**2 + 198 - 95 + g**2 - 104.
-68*g**2 - 1
Collect the terms in 4*l + 190884 + 182587 - 373471.
4*l
Collect the terms in 447209*r - 688898*r + 3521596*r.
3279907*r
Collect the terms in 2*u**3 + 11417 - 5969 - 6667.
2*u**3 - 1219
Collect the terms in -345*n - 278 - 226 + 504.
-345*n
Collect the terms in 2395 + 30*z**2 - 18*z**2 - 1816 - 10*z**2.
2*z**2 + 579
Collect the terms in -1111*s - 68 + 35*s**3 - 887*s + 37*s**3 + 66.
72*s**3 - 1998*s - 2
Collect the terms in 6157 + 52*r**2 - 59*r**2 + 267.
-7*r**2 + 6424
Collect the terms in 55*r**3 - 30*r**3 + 31751*r - 14*r**3 - 13*r**3.
-2*r**3 + 31751*r
Collect the terms in 3 - 4 + 609*w - 1 + 576*w - 2 - 1183*w + 3.
2*w - 1
Collect the terms in -4*v - 17 + 6*v - 7*v**2 - 2*v - 8*v**2.
-15*v**2 - 17
Collect the terms in 398*a**2 + 61*a**3 - 401*a**2 + 41*a**3 - 9*a**3.
93*a**3 - 3*a**2
Collect the terms in 16036*b - 919 - b**2 - 16036*b.
-b**2 - 919
Collect the terms in 1702*n**3 - 360*n**2 + 2247*n**3 + 368*n**2 - 681*n**3.
3268*n**3 + 8*n**2
Collect the terms in -2248*m**2 + 2247*m**2 - 790*m**3 + 869*m**3.
79*m**3 - m**2
Collect the terms in -26903*z**3 + 58096*z**3 + 122490*z**3.
153683*z**3
Collect the terms in 67 - 35 - 289*y + 1907*y.
1618*y + 32
Collect the terms in -72*k**3 + 22*k**3 - 8*k + 17*k**3 + 0*k + 32*k**3 + 3*k**2.
-k**3 + 3*k**2 - 8*k
Collect the terms in 78*a**2 - 25*a**2 + 42*a**2 - 2*a**2 + 23*a**2.
116*a**2
Collect the terms in 6 - 9*k**2 + 5 + 13 + 3.
-9*k**2 + 27
Collect the terms in -6723 - 747*d - 6726 + 2*d**3 + 13449.
2*d**3 - 747*d
Collect the terms in -25 - 5*o - 152*o**2 - 148*o**2 + 455*o**2 - 151*o**2 + 3*o - 18.
4*o**2 - 2*o - 43
Collect the terms in 40*v + 635*v + 588*v + 229*v.
1492*v
Collect the terms in -5368 - 5361 - 5368 + 21461 - 5363 + 20*u.
20*u + 1
Collect the terms in -1838*p - 2*p - 4990*p.
-6830*p
Collect the terms in -2 - 82027*a**2 + 164148*a**2 - 82032*a**2.
89*a**2 - 2
Collect the terms in 3336*b**2 + 3668*b**2 + 7353*b**2.
14357*b**2
Collect the terms in -22*l**2 + 54615*l - 18237*l - 18134*l - 18244*l.
-22*l**2
Collect the terms in 1 + 4876*m + 29 - 4874*m + 17 + 935*m**2.
935*m**2 + 2*m + 47
Collect the terms in -29*a - 9 + 20 + 72*a + 28*a + 11.
71*a + 22
Collect the terms in -4*c + c - 2249*c**2 + 5 - 23 + 2247*c**2 + 3*c.
-2*c**2 - 18
Collect the terms in 74430*i + 8346*i + 16615*i.
99391*i
Collect the terms in 49*q**3 + 8583*q + 8589*q - 17172*q.
49*q**3
Collect the terms in -22*h**3 - 15*h**3 - 125*h + 31*h**3 + 14*h - 54*h.
-6*h**3 - 165*h
Collect the terms in m - 4*m + 766349672849*m**3 + 3*m - 766349672851*m**3.
-2*m**3
Collect the terms in 0*y + 140 + 167 + 4*y - 39 - 3*y.
y + 268
Collect the terms in 37*p**2 - 11134112*p + 11134112*p - 33*p**2.
4*p**2
Collect the terms in -7*p**3 - 240*p**2 + 243*p**2 - 3*p**2.
-7*p**3
Collect the terms in 5156543*s - 10313531*s + 5156991*s + 0 + 0.
3*s
Collect the terms in -60247191 - 182*k + 60247191.
-182*k
Collect the terms in 2872 - 1398 - 27*h - 27*h - 1474.
-54*h
Collect the terms in 85*l + 105*l + 72*l + 90*l + 87*l - 447*l.
-8*l
Collect the terms in -93*y**2 + 32*y**2 + 22*y**2 + 37*y**2 + 81561.
-2*y**2 + 81561
Collect the terms in 158 - 86 - 72 + 62290*n**3.
62290*n**3
Collect the terms in -7*o**2 + 0*o**2 + 286762 - 3*o**2 - 286762.
-10*o**2
Collect the terms in 2 - 11*t + 29 + 18*t - 31*t + 21*t.
-3*t + 31
Collect the terms in 19062*h**2 + 18500*h**2 - 37509*h**2.
53*h**2
Collect the terms in 44*u**2 + 44*u**2 + 37*u**2 + 46*u**2 - 153*u**2.
18*u**2
Collect the terms in -15610*u**3 + 10321*u**2 - 10321*u**2 - 4798*u**3.
-20408*u**3
Collect the terms in 29*g**3 + 103*g + 85*g + 154*g - 342*g.
29*g**3
Collect the terms in 4994 - 2495 - 52075*q - 2500.
-52075*q - 1
Collect the terms in -4412*c - 157*c**2 - 136*c**2 - 4415*c + 8827*c.
-293*c**2
Collect the terms in 112*h + 108*h - 220*h + 26802*h**2 + 9340*h**2.
36142*h**2
Collect the terms in 4767 + 4774 - 3442*w - 14307 - 23381*w + 4766.
-26823*w
Collect the terms in -434560*w + 87344*w - 410044*w.
-757260*w
Collect the terms in -511 + 80*b + 248 - 289*b + 252 - 402*b.
-611*b - 11
Collect the terms in 3360*t - 3484*t - 4565*t.
-4689*t
Collect the terms in 71780*b - 71780*b + 55860*b**3.
55860*b**3
Collect the terms in 138*u**2 - 1101417 - 276*u**2 + 138*u**2 + 6*u**3.
6*u**3 - 1101417
Collect the terms in 27*c**2 - 199*c**2 + 31*c**2 + 94*c**2 + 25*c**2 + 26*c**2.
4*c**2
Collect the terms in -687*f**2 - 1 + 269*f**2 + 416*f**2.
-2*f**2 - 1
Collect the terms in 296 - 887 + 293 - 25985 | {
"pile_set_name": "DM Mathematics"
} |
2 - 1 - 14 + 0*n**2.
5*n**2 - 15
Collect the terms in -153*w**3 + 75*w**3 + 76*w**3.
-2*w**3
Collect the terms in 102*v + 3*v**2 - 102*v.
3*v**2
Collect the terms in -2*w**2 - 51844944 + 51844944.
-2*w**2
Collect the terms in -8*l**2 - 8*l**2 + 0 + 0.
-16*l**2
Collect the terms in -7 - 2 + 9 - 4*d + 5*d.
d
Collect the terms in 3*n - n + 4*n + n**2 - 6*n.
n**2
Collect the terms in 115 + 0*u + 122 - 237 - 25*u.
-25*u
Collect the terms in -24 + 24 + 726*s.
726*s
Collect the terms in 10*k**3 - 27*k**3 + 2*k**2 - 2*k**2.
-17*k**3
Collect the terms in -2*m**3 + 20*m**3 - 9*m**3 + 3*m**3.
12*m**3
Collect the terms in 6*z**2 - 6*z**2 - 2135*z + 2135*z - 2*z**3.
-2*z**3
Collect the terms in 21*l**2 + 5*l - 5*l - 428*l**2.
-407*l**2
Collect the terms in -2 + 5*m**3 - 11 + 6 + 7.
5*m**3
Collect the terms in -31 + 14*p + 31.
14*p
Collect the terms in -4*l - 6*l + 12*l - 16*l + 1.
-14*l + 1
Collect the terms in -312*o**3 + 137*o**3 + 153*o**3.
-22*o**3
Collect the terms in -156*i**3 - 152*i**3 + 306*i**3.
-2*i**3
Collect the terms in 20 - 4*p**3 + 7 - 27.
-4*p**3
Collect the terms in -22*k - 5*k - 29*k.
-56*k
Collect the terms in -7*x**3 - 7*x**3 + 2*x**3.
-12*x**3
Collect the terms in 3*u - 3*u + 3*u + 0*u.
3*u
Collect the terms in -77*d**3 + 204*d**3 + 175*d**3.
302*d**3
Collect the terms in -347 - 13*q**3 + 347 + 2*q**3.
-11*q**3
Collect the terms in -3534774 - 2*l + 3534774.
-2*l
Collect the terms in 744*o - 379*o - 374*o.
-9*o
Collect the terms in 3*g + 12*g - 9*g - 2*g - 5*g.
-g
Collect the terms in 151*z + 155*z - 297*z.
9*z
Collect the terms in -4*f**2 + 3*f**2 + 0*f**2 + 2*f.
-f**2 + 2*f
Collect the terms in 4 - 2*r - 4 + 33*r**2 - 2*r.
33*r**2 - 4*r
Collect the terms in 266*t - 531*t + 263*t.
-2*t
Collect the terms in 3*s**2 - 6*s**2 + 3*s**2 - 4*s**2.
-4*s**2
Collect the terms in -51*p**3 - 36 + 59*p**3 + 36.
8*p**3
Collect the terms in -112*o + 15 - 15.
-112*o
Collect the terms in 469*s**2 + 460*s**2 - 930*s**2.
-s**2
Collect the terms in 52*n**2 - 14*n**2 - 15*n**2 - 13*n**2 - 5*n**2.
5*n**2
Collect the terms in 54*g + 171*g - 48*g.
177*g
Collect the terms in -128*g + 6*g**3 + 128*g - 2*g**3.
4*g**3
Collect the terms in -8*p**2 + 5*p**2 + 0*p + 0*p**2 + 0*p.
-3*p**2
Collect the terms in v**2 - 12*v**2 + v**2.
-10*v**2
Collect the terms in -17*d - 5 - 19*d + 38*d + 5.
2*d
Collect the terms in -34*h**2 - h**2 + 15*h**2 + 7*h**2.
-13*h**2
Collect the terms in -9*j + 9*j + 231*j**3.
231*j**3
Collect the terms in 7*t + 6*t - 33*t.
-20*t
Collect the terms in -3 + 2*h + 3 + 459*h**2.
459*h**2 + 2*h
Collect the terms in n**2 - 8*n**2 - 7*n**2.
-14*n**2
Collect the terms in -23*l**2 + 10*l**3 - 43*l**2 + 66*l**2.
10*l**3
Collect the terms in -11*h**2 - 8*h**2 + 20*h**2 + h**2 - 3*h**2.
-h**2
Collect the terms in -5*h**2 - 4*h**2 + 0*h**2 - 4 + 2*h**2.
-7*h**2 - 4
Collect the terms in 110*j**2 - 73*j + 73*j + 191*j**2.
301*j**2
Collect the terms in 13*p**3 + 15*p**3 - 32*p**3.
-4*p**3
Collect the terms in 18 + 2*v - 7*v - 6*v.
-11*v + 18
Collect the terms in -201 + 201 + 5*s**2.
5*s**2
Collect the terms in 8*o + 4*o**3 - 2*o**3 + 23*o + 10*o.
2*o**3 + 41*o
Collect the terms in 1 + 4*i**2 - 3*i**2 - 1.
i**2
Collect the terms in 55*i - 158*i + 52*i + 47*i.
-4*i
Collect the terms in 3*m**2 - 3*m**2 + 1767*m**3.
1767*m**3
Collect the terms in -5*t**2 + 4 + 6 - 10.
-5*t**2
Collect the terms in 139*w + 46*w**3 - 139*w.
46*w**3
Collect the terms in 11*o**3 - 2*o**2 - 20*o**3 + 2*o**2.
-9*o**3
Collect the terms in 28*a + 9*a + 0 + 0.
37*a
Collect the terms in 140*z**2 - 5 + 3 + 173*z**2.
313*z**2 - 2
Collect the terms in 12 - 35*d**2 + 15 - 27.
-35*d**2
Collect the terms in -7*j - 7*j + 13*j - 7*j**2.
-7*j**2 - j
Collect the terms in -5*a**2 - a**2 + 5*a**2 + 0*a**2.
-a**2
Collect the terms in -7*q - 5*q**2 + 3*q**2 - q**2.
-3*q**2 - 7*q
Collect the terms in 338*i**3 - 2*i**2 + 2*i**2.
338*i**3
Collect the terms in 9 + 19*p**2 - 9 - 16*p**2 - 17*p**3.
-17*p**3 + 3*p**2
Collect the terms in 2*q**2 - 27*q**2 + 121*q**2.
96*q**2
Collect the terms in 4215 - 4215 - 2*x.
-2*x
Collect the terms in 2*s**2 + 8328*s - 8328*s.
2*s**2
Collect the terms in 16*f**3 - 4*f**3 - 9*f**3.
3*f**3
Collect the terms in -8*q + 47 + 28 - q - 75.
-9*q
Collect the terms in -34*t + 7*t + 18*t.
-9*t
Collect the terms in 83*o**3 + 264*o**3 + o**3.
348*o**3
Collect the terms in 25 + 15*g - 19 - g - 2*g.
12*g + 6
Collect the terms in -31*r**2 + 101*r**2 - 40*r**2 - 39*r**2.
-9*r**2
Collect the terms in j - 33263 + 33263.
j
Collect the terms in 5*w**3 - 4*w**3 + 4*w**3 + 0*w**3.
5*w**3
Collect the terms in -1 - 15242596*j + 1 + 15242593*j.
-3*j
Collect the terms in 52*u**2 - 24*u**2 - 28*u**2 - 18*u**3.
-18*u**3
Collect the terms in -10 + 5 - 6*l**3 + 5.
-6*l**3
Collect the terms in -2*b**3 - 9*b**3 + 0*b**3 + 14*b**3.
3*b**3
Collect the terms in -2*w + 2*w - w + 15566 - 15566.
-w
Collect the terms in -53*f + 16*f + 21*f.
-16*f
Collect the terms in 50*l**2 - 17*l**2 - 21*l**2 - 14*l**2.
-2*l**2
Collect the terms in -c + 0*c + c - 4 - c.
-c - 4
Collect the terms in 47*o**2 + 43*o**2 - 96*o**2.
-6*o**2
Collect the terms in -3*r + 3*r - 7*r**2 - 4*r**2.
-11*r**2
Collect the terms in 5*u**2 + u**2 - u**2.
5*u**2
Collect the terms in -22*s + 13 - 13.
-22*s
Collect the terms in -3*x**3 - 41*x**2 + 18*x**2 + 23*x**2.
-3*x**3
Collect the terms in -18*s + 4*s + 37*s - 19*s.
4*s
Collect the terms in 0 + 0*b + 13*b - 9 - 6.
13*b - 15
Collect the terms in 0*v + 175*v**2 - 4*v + 4*v.
175*v**2
Collect the terms in -11 + 13 - d - 2.
-d
Collect the terms in -5*b + b + 5*b.
b
Collect the terms in 434*u**2 - 3 - 867*u**2 + 436*u**2 + 3.
3*u**2
Collect the terms in 38 - 69 + 31 + 30*m.
30*m
Collect the terms in 0*h**3 - 6*h**2 + 6*h**2 - 2*h**3.
-2*h**3
Collect the terms in -13 + 2 + 3 + 8 - 3*c**2.
-3*c**2
Collect the terms in 1 - 22*c - 3 + 3 + 0.
-22*c + 1
Collect the terms in -81 - 6*w**2 + 12*w**2 + 81.
6*w**2
Collect the terms in 40178 - 40178 + 2*z.
2*z
Collect the terms in 45*j**3 - 46*j**3 - 80 + 4.
-j**3 - 76
Collect the terms in 13*h**2 - 5*h**2 - 9*h**2.
-h**2
Collect the terms in -3 + 0 - 48*p**3 + 3.
-48*p**3
Collect the terms in -349 + 2*p**3 + 349.
2*p**3
Collect the terms in -106*o**3 + 2 + 119*o**3 - 2.
13*o**3
Collect the terms in 187188*o**2 + 3*o**3 - 187188*o**2.
3*o**3
Collect the terms in -1694 - 2*q + 1694.
-2*q
Collect the terms in 17*z**2 + 6*z**2 - 23*z**2 + 34*z**3.
34*z**3
Collect the terms in -368*o**3 + 0 + 0.
-368*o**3
Collect the terms in -11*g + 13*g + 14*g.
16*g
Collect the terms in 102*c**3 + 95*c**3 - 199*c**3.
-2*c**3
Collect the terms in -3*y - 21 - 2*y + 3*y + 3*y.
y - 21
Collect the terms in 4*h**3 - 2*h**3 + 2*h**3.
4*h**3
Collect the terms in -3 + 3 - a + 370*a**2 + 184*a**2.
554*a**2 - a
Collect the terms in -205 + 205 - o + 6*o.
5*o
Collect the terms in -18*b**2 - 6*b**3 + 26*b**2 - 8*b**2.
-6*b**3
Collect the terms in -247*s**2 + 504*s**2 - 241*s**2.
16*s**2
Collect the terms in 8*l**3 - 10*l**3 + 3*l**3.
l**3
Collect the terms in -21*s + 2*s - 4*s.
-23*s
Collect the terms in 3*p**3 + 6 + 2*p**2 - 2*p**2 + 10.
3*p**3 + 16
Collect the terms in -43*l + 2 - 7*l - 32*l.
-82*l + 2
Collect the terms in -4 + 198*k + 4 - 195*k.
3*k
Collect the terms in 3*t - 2*t + t.
2*t
Collect the terms in -1871*a + 1871*a - 2*a**2.
-2*a**2
Collect the terms in -72*w**3 + 41*w**3 + 35*w**3.
4*w**3
Collect the terms in -21*r**3 + 127*r**3 + 338*r**3.
444*r**3
Collect the terms in -22*q**3 - 41*q**2 + 41*q**2.
-22*q**3
Collect the terms in 104*c + 102*c + 73*c - 277*c.
2*c
Collect the terms in -6*q - 2*q + 2*q - 3*q + 2*q.
-7*q
Collect the terms in c**2 + 11*c**2 + 12*c**2 + 3*c**2.
27*c**2
Collect the terms in 1094*g**2 + 8*g - 8*g.
1094*g**2
Collect the terms in 21*t**2 - 179*t + 179*t - 25*t**2.
-4*t**2
Collect the terms in 51 + 10*m**2 - 24 - 27.
10*m**2
Collect the terms in -17*o - 32*o - 25*o + 3*o.
-71*o
Collect the terms in -2*d**2 + d**2 + 5*d**2 + 0*d**2.
4*d**2
Collect the terms in -28089 + 28089 - 2*h.
-2*h
Collect the terms in -2*b**2 + 388*b - 388*b.
-2*b**2
Collect the terms in -30*h - 3*h**3 + 49*h - 19*h.
-3*h**3
Collect the terms in 4*x - 31*x**2 - 3*x - 74*x**2.
-105*x**2 + x
Collect the terms in 45 + 23 + 10*r**2 - 68.
10*r**2
Collect the terms in 81*c**3 - 44*c**3 | {
"pile_set_name": "DM Mathematics"
} |
+ 4*y**2. What is s in t(s) = 0?
-1, 4
Let h(u) be the first derivative of 10 - 1/5*u**2 - 4/5*u + 1/10*u**4 + 4/15*u**3. Factor h(l).
2*(l - 1)*(l + 1)*(l + 2)/5
Let g(f) be the third derivative of -f**6/120 - f**5/60 + f**4/12 - f**2 - 16*f. Factor g(d).
-d*(d - 1)*(d + 2)
Suppose -5*l - 6 = -5*u - 4*l, -3*u = -l - 2. Determine b, given that 1/2 + b + 1/2*b**u = 0.
-1
Let k(i) be the first derivative of -15*i**4/4 - 5*i**3/3 + 15*i**2/2 + 5*i - 12. Determine w, given that k(w) = 0.
-1, -1/3, 1
Let 5/2*v**2 - 10*v**4 - 5/4*v**3 - 25/4*v**5 + 0*v + 0 = 0. What is v?
-1, 0, 2/5
Let s(p) be the first derivative of -1 - 7/11*p**2 - 4/11*p + 7/22*p**4 + 4/33*p**3. Let s(u) = 0. What is u?
-1, -2/7, 1
Let c(z) = 4*z**2 - 8*z - 14. Let l(v) = v + 2. Let f be l(4). Let b(a) = -a**2 + 1. Let s(x) = f*b(x) + c(x). Factor s(p).
-2*(p + 2)**2
Let b = -677 - -4743/7. Let 6/7*y + b - 2/7*y**3 + 0*y**2 = 0. Calculate y.
-1, 2
Let i(v) be the third derivative of v**5/40 + v**4/4 + v**3 - 3*v**2. Let i(f) = 0. Calculate f.
-2
Let f = 93 + -88. Let g(u) be the second derivative of 7/9*u**3 - 1/6*u**4 - 7/30*u**f + 0 - 2/3*u**2 + 1/9*u**6 - 4*u. Solve g(a) = 0 for a.
-1, 2/5, 1
Let n(l) be the first derivative of l**4 - 32. Factor n(u).
4*u**3
Determine o, given that -18*o + 5*o**3 - 11*o**3 + 3*o**3 - 15*o**2 = 0.
-3, -2, 0
Let b(r) be the first derivative of 3*r**5/5 + 3*r**4/2 - 3*r**3 + 12. Suppose b(j) = 0. Calculate j.
-3, 0, 1
Let v(w) be the second derivative of w**7/336 - w**6/40 + 3*w**5/40 - w**4/12 + 42*w. Factor v(l).
l**2*(l - 2)**3/8
Let w(k) = 6*k**4 + 4*k**3 - k**2 + 5*k. Let z = 10 - 1. Let o be 3/2 - z/2. Let x(g) = g**4 - g**2 + g. Let u(r) = o*w(r) + 15*x(r). Factor u(p).
-3*p**2*(p + 2)**2
Let s(q) be the third derivative of 1/30*q**6 - 4*q**2 + 0*q - 5/6*q**4 + 0 - 2*q**3 - 1/15*q**5. Factor s(t).
4*(t - 3)*(t + 1)**2
Factor -9*c**3 - 8 - 8*c**3 + 9*c**3 + 3*c**2 + 3*c**2 + 2*c**4 + 8*c.
2*(c - 2)**2*(c - 1)*(c + 1)
Let r = 6733/51 + -132. Let m = r + 199/255. Factor -2/5 + m*s - 2/5*s**2.
-2*(s - 1)**2/5
Let o = -14/15 - -26/15. What is w in o + 2/5*w**2 - 6/5*w = 0?
1, 2
Let j(t) = -t + 10. Let k be j(6). Suppose 0*r + 4 = r. Factor 2*l + 3*l**k + l**2 - l - r*l**3 - l**3.
l*(l - 1)**2*(3*l + 1)
Determine y so that 6*y**4 - 3*y**4 + 4*y**4 + 5*y**3 - 5*y - 2*y**4 - 5*y**2 = 0.
-1, 0, 1
Let h = -239/115440 - -3/481. Let s(y) be the third derivative of 0*y - 1/48*y**4 + 2*y**2 - h*y**5 - 1/24*y**3 + 0. Factor s(a).
-(a + 1)**2/4
Let i(n) be the third derivative of 7*n**5/60 + 3*n**4/8 + n**3/3 - 7*n**2. Factor i(m).
(m + 1)*(7*m + 2)
Let g(v) be the second derivative of -v**5 + 8*v**4/3 + 8*v**3/3 + 7*v. Determine w, given that g(w) = 0.
-2/5, 0, 2
Let h(k) be the third derivative of -k**8/504 + k**6/90 - k**4/36 - 12*k**2. What is a in h(a) = 0?
-1, 0, 1
Let d(x) be the third derivative of -5*x**7/147 - x**6/14 + 11*x**5/210 + x**4/7 - 4*x**3/21 - 6*x**2. Factor d(g).
-2*(g + 1)**2*(5*g - 2)**2/7
Let z be -2*(-3)/(-4)*-2. Suppose -z = -r - 1. Suppose 0*t - 2*t + 8*t**4 - 16*t**r + 17*t**4 - 5*t**3 - 2*t = 0. What is t?
-2/5, 0, 1
Find x such that -3/5*x**5 + 6/5*x**4 - 39/5*x - 12/5*x**2 + 18/5*x**3 - 18/5 = 0.
-1, 2, 3
Let r be 1 - (-1)/((-4 - 0)/(-4)). Factor -1/2*g**3 + g**r - 1/2*g + 0.
-g*(g - 1)**2/2
Let u(a) be the second derivative of 2*a**2 + 1/12*a**4 + 1/30*a**5 + 0*a**3 + 0 - 2*a. Let d(q) be the first derivative of u(q). Factor d(m).
2*m*(m + 1)
Suppose 3 = t + 1. Let o(i) be the second derivative of i**t + 1/2*i**4 - 1/10*i**5 + 2*i - i**3 + 0. Factor o(w).
-2*(w - 1)**3
Suppose -u = -3*q + 7*q - 6, -2*q = -2. Factor 0 - 1/4*s**u + 0*s + 1/4*s**3.
s**2*(s - 1)/4
Let z(a) be the second derivative of a**6/285 + 2*a**5/95 + a**4/114 - 2*a**3/19 + 18*a. Factor z(n).
2*n*(n - 1)*(n + 2)*(n + 3)/19
Let k(p) be the third derivative of p**9/302400 + p**8/33600 + p**7/8400 + p**6/3600 + p**5/10 - 6*p**2. Let l(z) be the third derivative of k(z). Factor l(a).
(a + 1)**3/5
Find u such that -64/7*u**2 + 18/7*u**5 + 48/7*u**4 + 32/7*u - 16/7*u**3 + 0 = 0.
-2, 0, 2/3
Let d(w) = 2*w**3 - 5*w + 5. Let n be d(4). What is x in -113*x + 2*x**4 + n*x = 0?
0
Suppose 0 = 3*n + 4*v + 17 - 7, -5*v - 20 = 0. Suppose 2*b = 2*h - 14, -2*h + 0*b + 4*b + 22 = 0. Determine d, given that -2*d + 7*d**n - 11 + 11 - 5*d**h = 0.
0, 2/5, 1
Factor 1/2 + 9/4*f**3 + 1/2*f**4 + 9/4*f + 7/2*f**2.
(f + 1)**2*(f + 2)*(2*f + 1)/4
Let l(d) = 6 - 2*d**2 - 1 - 3*d**2. Let q(c) be the first derivative of 4*c**3/3 - 4*c + 7. Let k(r) = -5*l(r) - 6*q(r). Factor k(z).
(z - 1)*(z + 1)
Let c(m) = m + 8. Let y(v) = -5*v. Let p be y(1). Let r be c(p). Solve 1 + 2 + w**5 - w**3 + 3 + r*w**4 - 7*w**2 - 2 = 0 for w.
-2, -1, 1
Let m be 158/(-6) + -2 + -1. Let f = m - -30. Suppose f*s**5 + 0*s**2 + 2/3*s**3 + 0*s + 0 + 4/3*s**4 = 0. What is s?
-1, 0
Determine h so that 8*h**3 + 6*h + h - 2*h**4 - 3*h - 10*h**2 = 0.
0, 1, 2
Find z such that -2/7*z**5 + 2/7*z**3 - 4/7*z**2 + 0 + 4/7*z**4 + 0*z = 0.
-1, 0, 1, 2
Let r(j) = -8*j**2 - 12*j + 12. Let o(b) = 7*b**2 + 12*b - 13. Let k(i) = 4*o(i) + 3*r(i). Factor k(c).
4*(c - 1)*(c + 4)
Let t(r) be the first derivative of 7*r**6/18 + 11*r**5/5 + 8*r**4/3 - 40*r**3/9 - 8*r**2 + 16*r/3 + 31. Factor t(n).
(n - 1)*(n + 2)**3*(7*n - 2)/3
Let o be (4/18)/((-2)/6 - -1). Suppose o*s**2 + 0 + 1/3*s = 0. What is s?
-1, 0
Let b = 1127/3 - 375. Factor -l + 1/3*l**2 + b.
(l - 2)*(l - 1)/3
Let n(h) = -1. Let q be (4 - 14/5)*-10. Let y(k) = 4*k**2 + 2*k - 18. Let i(f) = q*n(f) + y(f). Factor i(v).
2*(v - 1)*(2*v + 3)
Suppose 2*k - z + 0 = 3, k - 2*z = 6. Let y(t) be the third derivative of 0 - t**2 - 7/90*t**5 - 1/4*t**4 + k*t - 2/9*t**3. Let y(b) = 0. Calculate b.
-1, -2/7
Suppose 3*r + 4*y - 2*y = 23, -4*r = 5*y - 40. Suppose r*j - j - 48 = 0. Solve -3/2*z**3 - 9*z**2 - j - 18*z = 0.
-2
Let t(f) = -f**4 - f**3 - 5*f**2 + 7. Let d(j) = -3*j**2 + 3. Let c be (-32)/(-10) + (-2)/10. Let u(y) = c*t(y) - 7*d(y). Factor u(l).
-3*l**2*(l - 1)*(l + 2)
Suppose -5*z + 4 = -11. What is a in 3*a - 4*a**2 - 2/3 + 5/3*a**z = 0?
2/5, 1
Factor -4/9*p - 2/9*p**4 + 2/9*p**2 + 0 + 4/9*p**3.
-2*p*(p - 2)*(p - 1)*(p + 1)/9
Let v(a) be the third derivative of -a**6/30 + a**5/5 + 6*a**2. Factor v(y).
-4*y**2*(y - 3)
Let t(p) be the second derivative of p**5/240 + p**4/48 + p**3/24 + p**2 + 4*p. Let w(i) be the first derivative of t(i). Find y such that w(y) = 0.
-1
Let i(x) = -9*x**2 - 19*x - 31. Let q be ((-105)/(-6))/(-7)*-2. Let v(s) = 14*s**2 + 28*s + 46. Let y(t) = q*v(t) + 8*i(t). Factor y(p).
-2*(p + 3)**2
Let o = 8 - 4. Factor 2*h**o - 3*h - 4*h**4 - 4*h**3 + h - 5*h**2 + h**4.
-h*(h + 1)**2*(h + 2)
Let i(u) = 4*u**4 - 3*u**3 - 5*u - 5. Let c(x) = x**3 - x - 1. Let y(o) = 5*c(o) - i(o). Let y(g) = 0. What is g?
0, 2
Let z(b) be the second derivative of 0 + 0*b**2 + 2*b + 1/120*b**6 + 1/24*b**3 + 3/80*b**5 + 1/16*b**4. Determine x, given that z(x) = 0.
-1, 0
Let i(y) = 8*y**4 + 4*y**3 - 8*y**2 + 8*y. Suppose 5*g + 41 = 11. Let d(j) = 7*j**4 + 3*j**3 - 7*j**2 + 7*j. Let m(h) = g*d(h) + 5*i(h). Factor m(b).
-2*b*(b - 1)**2*(b + 1)
Let z = -4 - -6. Factor -2*f**3 - 8 + 6*f + z + 2 + 0*f**3.
-2*(f - 1)**2*(f + 2)
Find b such that 16/3*b**3 + 6*b**2 - 10/3*b**4 - 8/3 - 16/3*b = 0.
-1, -2/5, 1, 2
Let q(y) = y**2 - 4*y. Let u = 6 - 10. Let c(l) = -1. Let d(r) = u*q(r) + 12*c(r). Factor d(v).
-4*(v - 3)*(v - 1)
Let y(t) be the first derivative of 0*t**2 + 1/6*t**3 + t + 3 - 1/24*t**4 - 1/40*t**5. Let g(r) be the first derivative of y(r). Factor g(p).
-p*(p - 1)*(p + 2)/2
Let s(w) = w**3 - 5*w**2 - 4*w - 5. Let g be s(6). Let j(x) = -x**3 + 8*x**2 - 7*x. Let i be j(g). Factor i*o + 1/4*o**3 - 1/4*o**2 + 0.
o**2*(o - 1)/4
Factor -1 - 1 + 4*a**2 + 8*a**2 + 6 - 16*a.
4*(a - 1)*(3*a - 1)
Let i be (50/20)/((-1)/(-2)). Suppose -16 - 5*m**2 - 8*m - m**2 + i*m**2 = 0. What is m?
-4
Suppose 4*v - v = 9. Determine c so that -6 + 3*c**v - 3*c**2 - 65*c + 50*c - 3 = 0.
-1, 3
Determine v so that 0 - v**2 - v - 1/4*v**3 = 0.
-2, 0
Let w(j) be the third derivative of 1/1344*j**8 + 3*j**2 + 0*j**3 + 0*j**4 + 0*j**5 + 1/480*j**6 + 0*j + 0 - 1/420*j**7. Find z, given that w(z) = 0.
0, 1
Suppose 1/4 + 9/8*n**2 + 1/8*n**4 + 5/8*n**3 + 7/8*n = 0. What is n?
-2, -1
Factor -1/11*o**2 - 9/11 + 6/1 | {
"pile_set_name": "DM Mathematics"
} |
69
Sort 5, 11, -4, 1, 1279 in increasing order.
-4, 1, 5, 11, 1279
Sort 4, 5, -2, 7, -3.
-3, -2, 4, 5, 7
Sort 5, 60, 2, 9, -4 in decreasing order.
60, 9, 5, 2, -4
Put -5, -15, -659, 1/4, -3/8 in ascending order.
-659, -15, -5, -3/8, 1/4
Put -5, 4, 17235 in increasing order.
-5, 4, 17235
Put 0.07, 1693, 3 in decreasing order.
1693, 3, 0.07
Put -0.3, 2413, -4, 0 in ascending order.
-4, -0.3, 0, 2413
Sort -46, 1, 247, 2/9, 5/4, -4/7 in decreasing order.
247, 5/4, 1, 2/9, -4/7, -46
Put -188, 1, 3, -4/9, 88 in increasing order.
-188, -4/9, 1, 3, 88
Sort 0.2, -5, 5, -252, 2/13, 6/103 in decreasing order.
5, 0.2, 2/13, 6/103, -5, -252
Put 131, 4, 7, -5, 0, 12 in ascending order.
-5, 0, 4, 7, 12, 131
Sort -2, 8, 3, -1, -3, -4.
-4, -3, -2, -1, 3, 8
Put -14730, 1, -38 in increasing order.
-14730, -38, 1
Put -57, -4/5, -4, 2/7, -0.2 in descending order.
2/7, -0.2, -4/5, -4, -57
Put 0, 0.4, 324, -3, -2, -0.3 in decreasing order.
324, 0.4, 0, -0.3, -2, -3
Put -3, 3, 0.1, -0.17, 3/20, -0.04 in descending order.
3, 3/20, 0.1, -0.04, -0.17, -3
Sort -1214, -0.2, 0.2 in ascending order.
-1214, -0.2, 0.2
Put 574.3, -0.5, 3 in descending order.
574.3, 3, -0.5
Put 13, 0, 1/2, -7.9 in descending order.
13, 1/2, 0, -7.9
Sort 1, 218, 1/2, -3/16, -5 in ascending order.
-5, -3/16, 1/2, 1, 218
Sort 2/1593, -0.4, 3, -4/127.
-0.4, -4/127, 2/1593, 3
Put 18, -2, 3, -4, 77, 1 in decreasing order.
77, 18, 3, 1, -2, -4
Put 0.0175, -0.01, -2/15 in decreasing order.
0.0175, -0.01, -2/15
Sort 2, 1, 325 in descending order.
325, 2, 1
Put -493, -228, -6 in decreasing order.
-6, -228, -493
Put 3515, 1/3, -3/8, 71, 0.4 in descending order.
3515, 71, 0.4, 1/3, -3/8
Put -4, -550, 31 in descending order.
31, -4, -550
Put 4, 3/208, 5/9, -0.2 in increasing order.
-0.2, 3/208, 5/9, 4
Sort 24534, 6, 3 in descending order.
24534, 6, 3
Sort 1415, -2, -115 in ascending order.
-115, -2, 1415
Sort 0.1, -4, 4, 3/7, 0.019, -16.5 in decreasing order.
4, 3/7, 0.1, 0.019, -4, -16.5
Sort -1201, -2, -5, 4, -1 in descending order.
4, -1, -2, -5, -1201
Sort 80, -12, -17, 2, -4 in increasing order.
-17, -12, -4, 2, 80
Put -4.17, 10, 5 in descending order.
10, 5, -4.17
Sort -2, 95/6, 2, -1 in ascending order.
-2, -1, 2, 95/6
Sort -6, 63, -125, -4.
-125, -6, -4, 63
Sort -0.4266, -1, 3, 0.5 in descending order.
3, 0.5, -0.4266, -1
Put 0, 25, 18, -8 in decreasing order.
25, 18, 0, -8
Sort 4, -3, -2, 2, -600 in descending order.
4, 2, -2, -3, -600
Sort -2241, 1, -16.
-2241, -16, 1
Sort 10, 0, -33, -3, -4, 4 in decreasing order.
10, 4, 0, -3, -4, -33
Put -0.2, 10053.3, -2/5 in decreasing order.
10053.3, -0.2, -2/5
Put -3, -2/3, -0.1, -3/2, 1 in decreasing order.
1, -0.1, -2/3, -3/2, -3
Put -0.1, -154/9, -421/6 in ascending order.
-421/6, -154/9, -0.1
Sort -18, -8, 119, 2/23, 0.1, -2/7 in increasing order.
-18, -8, -2/7, 2/23, 0.1, 119
Sort 13468, 4/3, 2, -5.
-5, 4/3, 2, 13468
Put 5, 198740, -2, 4 in decreasing order.
198740, 5, 4, -2
Sort -14546, -0.5, 2.
-14546, -0.5, 2
Sort -1493, 0.07, 0.4 in descending order.
0.4, 0.07, -1493
Put -1, 0, 12, -95, 2, -165 in descending order.
12, 2, 0, -1, -95, -165
Sort 8, -1061, -1.9.
-1061, -1.9, 8
Sort 2, -388, 2/13 in descending order.
2, 2/13, -388
Sort 3, -2/5, -3/5, -14/25, -4.
-4, -3/5, -14/25, -2/5, 3
Put 5, 39396, -5 in decreasing order.
39396, 5, -5
Sort 1, 4, 483, 18, -4 in decreasing order.
483, 18, 4, 1, -4
Sort -12, -2, 4, 5, -42, -4 in ascending order.
-42, -12, -4, -2, 4, 5
Put 5, 0, 73, -7, 2 in descending order.
73, 5, 2, 0, -7
Sort 1398, 44, -4, 2.
-4, 2, 44, 1398
Sort 0.7, 2, -1, 39, -0.008 in ascending order.
-1, -0.008, 0.7, 2, 39
Put 14, -14, 0, -1 in decreasing order.
14, 0, -1, -14
Sort 0, -1, 13, -5, 2 in descending order.
13, 2, 0, -1, -5
Sort -4, 14, -134, 0, -2, 2 in descending order.
14, 2, 0, -2, -4, -134
Sort -2/7, -2/15, 9, -0.015, 0.5.
-2/7, -2/15, -0.015, 0.5, 9
Sort 0.3, -4, 3, -0.08636 in increasing order.
-4, -0.08636, 0.3, 3
Put 73, -2/59, -2, -0.02 in ascending order.
-2, -2/59, -0.02, 73
Sort -10001, 0.1, 1.
-10001, 0.1, 1
Sort 0.5, -5, -6975.
-6975, -5, 0.5
Sort 32, -2, 1429, 5 in ascending order.
-2, 5, 32, 1429
Sort -49, -8, 0, -2 in decreasing order.
0, -2, -8, -49
Put 1, -3, 2346, 3, 0 in descending order.
2346, 3, 1, 0, -3
Sort 6, 80677, 4, 0, 5.
0, 4, 5, 6, 80677
Sort -1936, -9, 3, 0.1 in descending order.
3, 0.1, -9, -1936
Sort -1, 4, -2, 9, 0, 5 in descending order.
9, 5, 4, 0, -1, -2
Put 64, -1, 22 in decreasing order.
64, 22, -1
Sort 59, 4, -254, 0 in ascending order.
-254, 0, 4, 59
Sort 11, -79, 3, 4.
-79, 3, 4, 11
Sort 0.1, 349/25, -0.03.
-0.03, 0.1, 349/25
Put 51, -14, -4 in decreasing order.
51, -4, -14
Put 1, 13, 11, 6 in decreasing order.
13, 11, 6, 1
Sort 2, -252, 262 in descending order.
262, 2, -252
Sort -14/4065, 3, 2 in ascending order.
-14/4065, 2, 3
Sort -1/4, 1/7, 13/4, -3, -210.
-210, -3, -1/4, 1/7, 13/4
Sort -20, 3, 0, -2, -5, 2.
-20, -5, -2, 0, 2, 3
Sort -360, -5/3, 0.073, 5 in ascending order.
-360, -5/3, 0.073, 5
Sort -211/35, 3, 0, 18 in increasing order.
-211/35, 0, 3, 18
Put 1, -1, 1585767 in descending order.
1585767, 1, -1
Sort -3, 5, 104, -4, 2, -35 in decreasing order.
104, 5, 2, -3, -4, -35
Put 13, 2, -920, 0 in descending order.
13, 2, 0, -920
Sort 4/35, 1, -935, -5, 0.2 in descending order.
1, 0.2, 4/35, -5, -935
Sort -2, 756561, -6.
-6, -2, 756561
Put 35, 34, 3, -13, -5 in increasing order.
-13, -5, 3, 34, 35
Put 0.4, -104, 2, -10.8 in descending order.
2, 0.4, -10.8, -104
Sort -43, 0, -154, -4, 3, 5 in decreasing order.
5, 3, 0, -4, -43, -154
Put -2, 6126, 11, 5, -6 in decreasing order.
6126, 11, 5, -2, -6
Put -32, -4, -190, -1/6 in decreasing order.
-1/6, -4, -32, -190
Put 2, -33, 3, -87 in descending order.
3, 2, -33, -87
Sort -177, 8, -6, 2, -5 in descending order.
8, 2, -5, -6, -177
Put -224, 9, -13, -1, 2, -3 in decreasing order.
9, 2, -1, -3, -13, -224
Sort 0.03, 8, -15, 0.4, -2 in ascending order.
-15, -2, 0.03, 0.4, 8
Sort 5, -2/3, 0.4, -4, -19, -17.2.
-19, -17.2, -4, -2/3, 0.4, 5
Sort -0.4276, -1, 10/3.
-1, -0.4276, 10/3
Sort -32, 9, -5, 0.1, -0.1.
-32, -5, -0.1, 0.1, 9
Sort -1/6, -1, -2, 1/9, 4, 0.3 in descending order.
4, 0.3, 1/9, -1/6, -1, -2
Put 1, 4, -1/4467, 1/4, -0.1 in descending order.
4, 1, 1/4, -1/4467, -0.1
Sort 4, 10, 14, 9 in descending order.
14, 10, 9, 4
Sort -1, -1229, 5 in descending order.
5, -1, -1229
Put 976, 2, -2, 3 in ascending order.
-2, 2, 3, 976
Sort 4, -10, -206, 0, -1, 3 in decreasing order.
4, 3, 0, -1, -10, -206
Put 0.4, 5, 14, 12/7, -3/14, 2 in increasing order.
-3/14, 0.4, 12/7, 2, 5, 14
Put -8686, 0, 59 in descending order.
59, 0, -8686
Sort 174634, 4, -9 in descending order.
174634, 4, -9
Put 6, 5, 21, 33, 3 in decreasing order.
33, 21, 6, 5, 3
Sort 5, 71, -7, 156, 4 in descending order.
156, 71, 5, 4, -7
Put 2/9, 3/31, 1.19, 1, 3 in descending order.
3, 1.19, 1, 2/9, 3/31
Sort 15/8, -0.3, 1.51, 0.3, -1/7 in descending order.
15/8, 1.51, 0.3, -1/7, -0.3
Put -15, 3076, 2 in increasing order.
-15, 2, 3076
Sort -5, 2/17, 229/154 in descending order.
229/154, 2/17, -5
Sort 228, 15, -4.
-4, 15, 228
Sort -38/5, -2, -4.5, -1/5, 0.1 in descending order.
0.1, -1/5, -2, -4.5, -38/5
Sort 0.4, -3, -0.3, 9/7, -2/27 in increasing order.
-3, -0.3, -2/27, 0.4, 9/7
Sort 5/23, -5, -1/40, -0.1 in ascending order.
-5, -0.1, -1/40, 5/23
Sort 1, -0.0101, -4, 0.2 in increasing order.
-4, -0.0101, 0.2, 1
Sort 61/15, -0.4, 22 in increasing order.
-0.4, 61/15, 22
Sort 0.5, -932, 3, 2/11, 2/5.
-932, 2/11, 2/5, 0.5, 3
Sort 0.4, -0.4, 3901.
-0.4, 0.4, 3901
Put 5, 3, -31, -18, 15 in ascending order.
-31, -18, 3, 5, 15
Put 5, -40, 734 in increasing order.
-40, 5, 734
Put 4, -79, -3, 3 in descending order.
4, 3, -3, -79
Sort -2/13, -4102, 7/6.
-4102, -2/13, 7/6
Sort -1/16, 7, -1, -63.2, -1/5 in descending order.
7, -1/16, -1/5, -1, -63.2
Sort 4, -3, -9, 0, -2.9 in descending order.
4, 0, -2.9, -3, -9
Put 9/2, 4, -1.3, 2/3, -5/12, 0.1 in ascending order.
-1.3, -5/12, 0.1, 2/3, 4, 9/2
Sort -2, 2, 28 in increasing order.
-2, 2, 28
Put -236, 50, 42 in ascending order.
-236, 42, 50
Put 2/9, 5, 88.605 in descending order.
88.605, 5, 2/9
Put 1, 2/3, -51/22, -5, -1/2 in decreasing order.
1, 2/3, -1/2, -51/22, -5
Put -0.4, -9, 172212 in ascending order.
-9, -0.4, 172212
Sort -3, 1/3, | {
"pile_set_name": "DM Mathematics"
} |
p = -4*m + 64 for p.
-9
Solve -2*r + 15 = -b, -4*b - 3634804 = -3*r - 3634784 for r.
8
Solve -65 = -32*v - 4*l + 3*l - 22 + 103, 0 = -3*v + 3*l + 57 for v.
5
Solve -3*y + 184*n - 181*n + 84 = 0, 89 = 3*y - 4*n for y.
23
Solve -19*i + 64*v - 19 - 74 = 63*v, 3*i + 25 = -5*v for i.
-5
Solve -4*h + 3*l + 177 - 313 = -153, -2*h = -l - 7 for h.
2
Solve -16*d + 2*x + 59 = 4*x + 122 + 23, 4*d - 3*x + 39 = 0 for d.
-6
Solve 7*u - s = -242, -4*u - 47*s = -54*s + 164 for u.
-34
Solve 5375*d = 4*q + 5379*d - 104, -2*q + 3*d = -67 for q.
29
Solve 4*q = -152, -1311693*p - 5*q = -1311700*p + 204 for p.
2
Solve 80 = 3*l + 8*b - 6*b, 12*l - 3*b + 111 = 387 for l.
24
Solve -6*f - 20 = -2*f, -19*f = 4*r - 2*r - 18*f + 13 for r.
-4
Solve 5*m - 28604*a = -28606*a + 27, 29 = 5*m + 4*a for m.
5
Solve 3*u + 6*x - 337 = 11*x, -4977 + 4840 = u + 2*x for u.
-1
Solve 5*p - 3 - 28 = -f, 3*f + 395 = -5*p + 428 for f.
1
Solve -3*a + 87 = 6*m, -24*a + 93 = -29*a + 4*m for a.
-5
Solve -2*i = 3*r - 52, -356*r + 12*i - 10 = -352*r - 6 for r.
14
Solve -w + 34*m = 7*m + 189, 6*m - 7 = -4*w - 0*m + 5*m for w.
0
Solve 4*h - b - 23 = 0, -8*h - 5*b - 67 = -9*h - 8*h - 7 for h.
5
Solve 0 = -9*w + p - 2 - 1, -4*w - 5*w + 5*p = 5*w + 18*w + 2 for w.
-1
Solve 4*d - l + 105 = 0, -341 = -d - 17498*l + 17495*l for d.
2
Solve -5*j - 2*n + 54 = -2*j, -2*j - 11*n = -6*n - 157 for j.
-4
Solve -w = -o - 273 + 277, 0 = 26*o + o + 5*w - 12 for o.
1
Solve -x + 13*c - c + 8*c = -10*c + 28*c, -7*x = -2*x - 3*x - 5*c for x.
0
Solve c + 41*l - 38*l = 18, 2*c + 4*l - 32 = 0 for c.
12
Solve 5*m - 4*i - 74 = 0, -35*i = -5*m - 48*i + 8*i + 65 for m.
14
Solve 33786*i + 2*h = 33787*i + 28, -2*h + 12 = -5*i for i.
4
Solve -874 + 922 = 4*a + 2*l, 20*a = 23*a - 4*l + 41 for a.
5
Solve -2176 = -2*l - 5*d - 2172, 3*l - 12*d - 6 = 0 for l.
2
Solve -886081*m + 5*p = -886082*m + 30, -29*m - 2*p + 441 = 0 for m.
15
Solve 10*d = 12*d - 12, -143*m - 3*d = 288 - 20 for m.
-2
Solve -151*z - 5*f = -295*z + 148*z - 149, -f - 87 = -4*f for z.
1
Solve 41 + 72 = -2*j - 2*j - 3*r - 8, -21*r = -6*j - 105 for j.
-28
Solve -20 = -4*u - 4*a, -27*u - 974*a = -973*a - 135 for u.
5
Solve 4*u + 5*c = -21 - 2, 8 = 2*u + 251*c - 470*c + 215*c for u.
-2
Solve 32*j - 26 = -79 - 107, 2*i - 21*j + 24 = -24*j - 29 for i.
-19
Solve -691*w + 695*w - 3*a - 8 = 0, 108*w - 7*a = -3*a + 216 for w.
2
Solve 721 = 32*d - 6*l + 223, 2*d - 39 = 3*l for d.
15
Solve -3*l + 34 - 13 = 16*m, 2*l - 5*m = 7*l + 30 for l.
-9
Solve 40*k - 12*u - 5 = -6*u - 3*u - 36 - 40, -5*k - 1 = -3*u for k.
-2
Solve -38 = -3*i + 2*n + 4, -13*n + 1 = -11*n - 5 for i.
16
Solve -5*k + 68*z = -71*z + 135*z - 75, 30 = 2*k + z for k.
15
Solve 4*i + 5*k + 0*k + 10 = 0, -4*k + 2*k - 3 = 1 for i.
0
Solve 3*x + 58734 = -13*t + 58964, 4*x - 12 = 0 for t.
17
Solve -4*o + 75 = 7*x + 182, 37*o + 81 = 5*x + 277 for x.
-17
Solve 61*i - 66*i - 93 + 78 = 0, -2*o = -o + i + 18 for o.
-15
Solve -t = -5*u + 19, 3*t + t - 95 + 19 + 62 = 21*u - 94 for u.
4
Solve -s = -2*h + 53, 2*s - 59*h - 62*h = -187*h + 68*h - 56 for s.
-3
Solve j - 6*c + 8 = -9, 2 = 3*j + 4*c - c - 10 for j.
1
Solve -36*k - 49 = 2*f - 11*k - 16*k, 0 = -3*f + k - 88 for f.
-29
Solve 0 = -4*i + j - 16, -3209*i + 3211*i - 14*j = -8 for i.
-4
Solve 2*s + 19 + 4 = -3*s + 865*l - 863*l - 0, 11*s - 7 = -2*l for s.
-1
Solve 0 = 5*q - 13*j - 7, -5*q + 55298*j = 55299*j - 21 for q.
4
Solve 235*x = 220*x + 60, -h - 7*x + 4*x + 1 = 0 for h.
-11
Solve 3*p = y + 12, -8*y + 12*p = -4*y + 10*p + 18 for y.
-3
Solve 3*q = -2*s + 4*q - 2 - 2, 9*s + 0*q + 3*q - 27 = 0 for s.
1
Solve 3*y + 2*k = 33, -k - 2573 = -142*y - 1011 for y.
11
Solve 0 = -5*k - 8*o - 66, -1655*k + o + 1 = -1656*k - 8 for k.
-2
Solve 4*v - 165 = 5*w - v, 9*w - 3095 = -13*w + 25*w - 110*v for w.
-5
Solve -23*z + 6 + 3 = -o - 22*z, 11*o + 45 = -30*z - 13*z for o.
-8
Solve 2*y - 5*u - 30 = 0, -20310 + 20328 = 2*y - 3*u for y.
0
Solve -4*y = 2963*a + 8929, -2*a + 2*a - 4 + 4 + 1 = a + 4 for y.
-10
Solve 259*s - 67*g = 258*s - 280, -5*s + 12*g - 108 = 0 for s.
-12
Solve 2*m = 15*q + 63, 176*m = 96*m + 83*m - 2*q - 33 for m.
9
Solve 147728*m = -r + 147732*m - 6, -2*r = 14*m - 10 for r.
-2
Solve 78*d - 2 = 5*m + 75*d - 0, 69*m + 2 = 61*m + 5*d for m.
-4
Solve -26*h + 2*o - 10 = 25*h - 53*h, -6*h - 9*o + 55 = -2*h for h.
-2
Solve -5*d + 30*v - 32*v = 4*d - 5*d + 60, 628 = -36*d + 4*v for d.
-17
Solve -71 = 4*y + 73*z - 70*z, -81*z - 24 - 116 - 321 = 4*y for y.
-14
Solve 3*s + 7575 = -2*h + 7587, 4*h + 3*s - 18 = 0 for h.
3
Solve 2*s + 14 = 4*f, f = -3*s + 71 - 85 for f.
1
Solve -w = -2*l - 14 - 39, 4*l = 355799*w - 355802*w + 149 for w.
51
Solve 13*f + 96 = 11*s, 3319*s - 3323*s + 4 = 3*f for f.
-4
Solve -x = 3*h - 4, 114*x - 113*x = -96*h + 4 for h.
0
Solve 2*u + 0*u + 2405800*f + 2 = 2405810*f - 60, u + 5*f - 29 = 0 for u.
-1
Solve -t - 2*t + 30 = 5*v + t, 6*v - 4*t + 70 = 18 for v.
-2
Solve 3*n = -5*i + i + 41, -6490*i - 5*n = -6541*i + 566 for i.
11
Solve -5*v + 5*w - 515 = 0, -2*v + 614*w = 623*w + 261 for v.
-108
Solve -101 + 269 = 4*r + 4*c, -2*r + 768 = 20*c for r.
4
Solve -2*j = -7*a + 14, -13*a - 23 = 4*j + 25 - 20 for a.
0
Solve 5*i - 549*o + 14 = -556*o, 8 = 4*i + i - 4*o for i.
0
Solve -s - 195 = -27*c, 8*s + s = -4*c + 4*s + 7 - 9 for c.
7
Solve -5*z + 4*l = -47 - 37, -312*l + 12 = -z - 313*l for z.
4
Solve f = 275*z + 6*f + 421 - 1506, 13*f = 10*f - 9 for z.
4
Solve 3*b - 3*p = -3, -5*b + 0*p + 21*p - 5 = 25*p for b.
-1
Solve -2*v - 216*x + 214*x - 24 = 0, 3378*x = v + 3399*x + 112 for v.
-7
Solve 77*y - q - 2459 = 0, 4*y + 26*q - 153 = 21*q for y.
32
Solve 0*r = -5*n - 4*r - 185, -3686 + 3706 = 4*r for n.
-41
Solve -2*r + 49 = 30*s - 77*s, -3*r - s + 1 + 1 = 0 for r.
1
Solve 2*o - 5*o = -4*l - 2 + 3, -263*l + 139*l + 128*l = 7*o - 3 for o.
1
Solve -2*q + 18 = 2*r, -16*r + 10666 - 10555 = 5*q for q.
3
Solve 0 = 3*g + k + 4*k + 94, 2*g - 36*k + 17418 - 17552 = 0 for g.
-23
Solve -58*x + 59*x - 3 = 0, 0 = 12*i - x - 21 for i.
2
Solve -2*b = -3*j + 5*j + 8, -j - 244 = -b - 248 for b.
-4
Solve 4*c + 6346*o = 6348*o + 46, -9*c - 33 = 2*o for c.
1
Solve 9*z + 2*o - 154 = 9*z - 15*z, -3*z - 13*z + 122 = -4*z + o for z.
10
Solve -4*a + 123 = 5*r, -132*a + 233*a + r + 402 = 116*a for a.
27
Solve -4*n + 227*l - 222*l + 149 = 0, 0 = n + n - 5*l - 147 for n.
1
Solve 6*r = 5*h + 107521 - 107512, -11 = 2*h + 5*r for h.
-3
Solve 15 = -m + 3*n, -151 + 193 = 6*m + 2*n + 152 for m.
-18
Solve 0 = 4*k - l - 108, -5*l = 31*k - 792 + 6 for k.
26
Solve -42*o + 324 + 194 = -44*o + 32*u, -o + 2*u = 35 for o.
-3
Solve -5*n = 4*d - 64, -1042*n + 1046*n = 5*d + 43 for n.
12
Solve 132395*q - 132389*q = -5*h + 309, -4*h - 3*q = -240 for h.
57
Solve -i - 6*i - 30 = 2*l - 11*i, -364*l - 8*i + 11*i - 5460 = 0 for l.
-15
Solve -42*m - 40*m = -54*z - 86*m + 66, -m = 2*z + 18 for z.
3
Solve 0 = 4*z + 143*j - 147*j, -j + 16 = -3*z - 2*j for z.
-4
Solve -4*m + 436 = -m - 5*c + 277, 3*c + 87 = -m for m.
3
Solve -12174*q + 12175*q = -2*s - 26, -5*s - 4*q - 89 = 0 for s.
-5
Solve -3*c = 2*o + 59, -3*o + 71 = 5*c - 9*c + 2*o for c.
-19
Solve 0 = -d - 4*p + 291, -d - 1131723 = 14*p - 1132754 for d.
-5
Solve 13 = -2*b + l - 0 + 2, -21*b - 128 = 2*l for b.
-6
Solve 1237 - 1272 = 6*u - r, 0 = 3*u - 8*u + 3*r - 27 for u.
-6
Solve 194 = -2*z + 6*s, -3*z + 6*s - 2*s = -3*z + 5055 - 4927 for z.
-1
Solve 5*o + 6*w = 44 - 1, -18*w + 22*w = -3*o + 14 + 13 for o.
5
Solve -5643*v + 1 = -5650*v + 3*i, 3*v - 5*i + 69 - 24 = 0 for v.
5
Solve 0 = n + 2*b - 9, -315*b = -4*n - 311*b + 60 for n.
13
Solve 3*s - z + 21 - 34 = 0, -4*z - 22 = 5*s - 21 for s.
3
Solve -150 = -51*a - 2*z, 12*a - 38*a + 11*a - 5*z = -13*a - 124 for a.
2
Solve 2*r = -8*w + 5*r + 439, 42*w + 3*r - 2326 = 35 for w.
56
Solve -2646*n = -2*f - 2631*n + 36, -3*f = 3*n - 3 for f.
3
Solve 0 = k + 5*t - 842 + 820, -4*k - 7*t + 23 = 0 for k.
-3
Solve -6*d + d = -6*d + 14, -59*b - 139 = -56*b - 11*d for b.
5
Solve -17371*x + 270 = 69*p - 17366*x, 5*x = 2*p - 173 + 443 for p.
0
Solve -52 = 14*b - 15*b + 11*q, -20*b - 16*b - 6*q = -41*b - 3*q for b.
-3
Solve -5*m = 7*q + 32, q = -7*m + 179 - 215 for q.
-1
Solve -5*d - 12*m + 142 = -251, -3*d - 156*m + 160*m - 145 = 0 for d.
-3
Solve -60*x - 11*x = -66*x + l - 12, -92 = 2*x - 3*l - l for x.
-2
Solve -7 = o - 3*a | {
"pile_set_name": "DM Mathematics"
} |
.12562248 from 0.063127.
0.18874948
Work out -5.3778078574395 - -4.
-1.3778078574395
What is -296061.83 - 7651798?
-7947859.83
What is -1.3 less than -6796839643?
-6796839641.7
What is the difference between -3.1791378337 and -0.062?
3.1171378337
56748 - 5840.457274
50907.542726
Add 3 and 2944752069343.
2944752069346
What is 472680 take away 5.29409735?
472674.70590265
What is the distance between -18598591646005 and 1?
18598591646006
Put together 16744732272 and -8134.
16744724138
Work out -9 - -0.5792892171.
-8.4207107829
Work out 2 - 347855.094034.
-347853.094034
What is 172507.897881 less than 0.0689?
-172507.828981
What is -10 minus -13504063.0012?
13504053.0012
What is 0.1 minus 1016.57260199?
-1016.47260199
Calculate -3.4 + 5389255246.
5389255242.6
Put together 340 and 391024624367.
391024624707
-14869632249 - -0.049
-14869632248.951
What is the difference between 744.9 and -2756206357?
2756207101.9
What is -444370.3126752 minus -0.31?
-444370.0026752
What is -32.3 take away 1883481701700?
-1883481701732.3
What is 5 plus 17.172856991604?
22.172856991604
What is the distance between -7419 and -114232359?
114224940
What is the distance between 794 and -0.9791899?
794.9791899
What is 22.2196 take away 27902005?
-27901982.7804
Total of 289397700157 and -0.12.
289397700156.88
What is 6395314.9689 plus -1.3?
6395313.6689
Put together -490911778 and 4905.
-490906873
What is the difference between 0.026169 and -9.98963386?
10.01580286
What is 1135080.383 plus -49.44?
1135030.943
Add -0.98 and -23378035571.
-23378035571.98
What is -0.697 less than -2239632161?
-2239632160.303
Subtract -27184 from 7989240.
8016424
Sum 49087.5 and 0.192779.
49087.692779
18557513119246+-2
18557513119244
What is 167712.7 minus -42.37?
167755.07
Add -240277 and 7355184.
7114907
What is the difference between 4 and 202416214716?
202416214712
Add together -5 and 92852726337.
92852726332
What is 21247506 plus 42.261?
21247548.261
-123249191 + 174424
-123074767
Calculate 551330 + -35787.
515543
What is 33149069802 less than -1?
-33149069803
Subtract -267893.8 from -0.1609088.
267893.6390912
What is -186706699734 plus -0.108?
-186706699734.108
Add together -55371493597 and 2.7.
-55371493594.3
593+-83970351858
-83970351265
What is 83.6213630127 + 1565?
1648.6213630127
Total of 134.991005 and -2220517.
-2220382.008995
52.479510621 + 35
87.479510621
Add -2452.1 and -11668872.
-11671324.1
What is the difference between -573250 and 3475085?
4048335
What is the distance between -6.87 and 1814833.2?
1814840.07
Subtract -2881935 from 5235753.
8117688
-902 + -2.006550759
-904.006550759
Sum 735450 and 0.173121501.
735450.173121501
What is 80862284591 take away 0.36?
80862284590.64
What is 0.014945626769429 minus 0.1?
-0.085054373230571
Total of -17459736 and 0.1688679.
-17459735.8311321
Subtract -0.006759 from -3773739.
-3773738.993241
0.5043 - -0.07912767364
0.58342767364
What is -0.4 + 5126187000222.8?
5126187000222.4
Add together 0.10086907 and 88806.59.
88806.69086907
Sum 14.1 and 0.970819323824.
15.070819323824
46009+205850.7513
251859.7513
What is -69712575493 less than -0.1?
69712575492.9
What is -0.44915412 + -2389014?
-2389014.44915412
Total of -37886 and -116024223.7.
-116062109.7
What is -40.11939823 + 1797?
1756.88060177
Calculate -6265092.73874 - 3.
-6265095.73874
Calculate 437344429089915 - -0.4.
437344429089915.4
What is 2866789 less than 25.91662?
-2866763.08338
What is the distance between 11860266139 and -31?
11860266170
Calculate 1415845 - -749.16988.
1416594.16988
Calculate -17096989588 - -2.2.
-17096989585.8
Work out 0.2 - -41433036803.
41433036803.2
Total of -112 and 79764394.506.
79764282.506
What is -7868778 - 1238324?
-9107102
0.1337606 - 5481
-5480.8662394
What is -31.84940741 minus -0.20842?
-31.64098741
What is 944692915693.48 - -1?
944692915694.48
Add together 859968874129 and 0.
859968874129
What is -2317580101 take away -687?
-2317579414
-3.856 + 255119890
255119886.144
Add together 29162326 and 10280936.
39443262
What is 1.067448447 take away 5268?
-5266.932551553
Calculate -0.6 - 341796884848.3.
-341796884848.9
What is -17238.9876 less than 1525?
18763.9876
Add together 2444642.79 and 0.2284.
2444643.0184
What is -10 less than -179030939661?
-179030939651
Add -40625945.1 and 1802.
-40624143.1
-2338 - 1583.7332
-3921.7332
What is 0.0205273315199 take away 3.649?
-3.6284726684801
What is -1 minus 5213061.8057?
-5213062.8057
Add together 96538017 and 0.00535641.
96538017.00535641
-62 - 4773300.0534
-4773362.0534
Add together 2414568 and 3.013787.
2414571.013787
Calculate 0.8443 + 2467385.2899.
2467386.1342
583301.8 - -28534.9
611836.7
Add 225449772452 and -927.
225449771525
Calculate 5 + -199338917866.
-199338917861
Add together 28277150858977 and -25.
28277150858952
What is 2744792 plus 97028?
2841820
Work out -0.3 + -1079917626230.
-1079917626230.3
What is 12441864 less than -1.14248599?
-12441865.14248599
Add -12182 and -77890955.
-77903137
What is -0.69 take away -2.2546572861?
1.5646572861
What is the distance between 7925953275 and 2.2?
7925953272.8
What is the distance between -121 and -13245468015?
13245467894
0.6853006 + 9.851
10.5363006
What is the difference between -569.678 and 475820?
476389.678
Sum -5135364949 and 877.
-5135364072
5844.450722 + 0.4
5844.850722
Put together -74.93982 and -35346.
-35420.93982
Calculate -0.3 + -293416777404.
-293416777404.3
What is 4.256021431 minus -598?
602.256021431
Add -2 and -98477639512.
-98477639514
9.8 + 0.049481601692
9.849481601692
Add together -47.9856 and 58.7107.
10.7251
Work out 876897658 + 39.04.
876897697.04
Calculate -1253936.6 - 3.719543.
-1253940.319543
-0.686226 + 37992966
37992965.313774
Calculate 44157187877645 + 0.9.
44157187877645.9
What is the difference between 2044.895 and -4.4466?
2049.3416
Sum -22 and 37357830421.
37357830399
Calculate 1362530.43 + -302574.
1059956.43
What is the distance between -0.049733173953958 and -3?
2.950266826046042
Put together 1.032048 and -76581.
-76579.967952
Work out -2452703309 - -152820.
-2452550489
Sum 4.15357358 and -0.661.
3.49257358
Work out 22644781869864 - -1.
22644781869865
Add together 1.138 and 37300.8042.
37301.9422
Work out -8349344576 + 14.846.
-8349344561.154
Subtract -74.91 from 0.0708704445.
74.9808704445
What is 18451789 + -87070?
18364719
Put together 22483.26 and -8425.2.
14058.06
Calculate 1.516 + -6351986923.54.
-6351986922.024
Calculate -0.65346926158 + 7.
6.34653073842
What is 1362331993 minus -0.0500293?
1362331993.0500293
Subtract 108.5 from -2672121667.
-2672121775.5
Put together -1 and 7647621976.
7647621975
What is -33 plus -19804435281?
-19804435314
Work out -63609589 - 20263.3.
-63629852.3
-0.532 + -272046.7034
-272047.2354
What is -45448 plus -10960720?
-11006168
4916.8007 + 320038
324954.8007
Add together -88 and 67008292108.
67008292020
What is 0.025 plus 7620640849609?
7620640849609.025
Work out -9.15 - -139708214.9.
139708205.75
Sum -3336.637283323 and -0.1.
-3336.737283323
What is -1109523.537 take away 34067?
-1143590.537
Subtract -17.0425 from -16.32250516.
0.71999484
Add 0.87428123602 and 6098.
6098.87428123602
-0.118834 + 18060789
18060788.881166
What is -0.012150026028 minus -1.2?
1.187849973972
Calculate 0.2 - -324394.4202203.
324394.6202203
Total of 32861 and 128007931.
128040792
Total of 50902 and 3177179.
3228081
Put together 2.83671910985 and -0.4.
2.43671910985
Put together -705852 and 248911320.
248205468
-947717405530+-795
-947717406325
Sum -0.0642 and 13069988643.
13069988642.9358
What is -5 + 1378189318.13?
1378189313.13
What is 3792785625 less than 403?
-3792785222
What is -31467 less than 1663134810?
1663166277
Put together 319 and 1175304301.
1175304620
What is -2.0477117666 + -0.2?
-2.2477117666
Add together 0.10459744 and 2664666.
2664666.10459744
Add -4 and -2322817.755163.
-2322821.755163
Put together -129816 and -0.06605.
-129816.06605
What is the difference between 0.4 and 89370.44273848?
89370.04273848
Work out 78622843176 + -0.091.
78622843175.909
What is 230 - -243.98962?
473.98962
Sum 3553254 and -47610.84.
3505643.16
What is the difference between 99238 and -4892299216?
4892398454
Calculate -1.45 - 7435661529.
-7435661530.45
Work out 38.9384 + -942533.
-942494.0616
Add together 0. | {
"pile_set_name": "DM Mathematics"
} |
- 4 + 6*v + 0*v + v. Let n = 2 - 0. Calculate the lowest common multiple of 2 and o(n).
12
Suppose -55*c + 62*c = 28. What is the smallest common multiple of c and 28?
28
Find the common denominator of 33/35 and (590/210)/(10/(-6)).
35
Let c = 3/287 + -346/41. Let r be (-566)/1610 - (-5)/35. Let p = r + -4729/1035. Find the common denominator of p and c.
63
Let z(v) = -4*v - 2*v**2 + 6 + 0*v**2 + 3*v**2 - 2. Let a be z(2). Suppose -4*r - 4*d = -64, -r + a = 2*d - 20. Calculate the least common multiple of 22 and r.
132
Let x = 40111 - 3289007/82. What is the common denominator of x and -1/5?
410
Suppose -5*f + 13 = -7. Let v(u) = 3*u + 62. What is the smallest common multiple of v(-20) and f?
4
What is the smallest common multiple of 11 and 20 + (3 - (5 - 0/(-2)))?
198
Let y = -41 - -57. Calculate the smallest common multiple of y and 8.
16
Let n(l) = 2*l**2 + 3*l - 1. Let g be n(2). Let u = -3322/3 - -1093. What is the common denominator of u and (g + 0)/((-12)/15)?
12
Let j be (-2)/(-14) - 93504/84. Let z = -4415/4 - j. What is the common denominator of (-146)/40 - (-2)/(-8) and z?
20
Calculate the common denominator of ((-663)/(-1963))/(6/(-4)) and 9.
151
Let x = 16744/5521 - -20645021/3643860. Let b = x - 195/44. Calculate the common denominator of b and -137/36.
180
Let v be 200888/216*(-9)/(-4290). Let h = v + 2/585. Find the common denominator of 7/6 and h.
66
Let c = -4980839/72 + 69180. Calculate the common denominator of c and -81/22.
792
Suppose -2 + 8 = 3*n. Suppose n*a + 3*m - 26 = -3*a, -4*m + 24 = 4*a. What is the lowest common multiple of 2 and a?
4
Let x = 168 + -144. What is the lowest common multiple of 96 and x?
96
Let h be (9/((-81)/(-12)))/((-4)/(-6)). Suppose -4*g + 2*g + 26 = -h*k, 0 = -2*g + 4*k + 20. Calculate the lowest common multiple of g and 4.
16
Suppose 36 = -5*v + g + 1, -4*v - 28 = 3*g. Let c = v - -15. Calculate the smallest common multiple of c and 18.
72
Let r be 17101/(-1854)*(-6 - -9). Let w = r - -83/3. Let d = -2523/103 + w. Find the common denominator of d and 46/11.
22
Let u(b) = -b**2 + b + 11. Let p(s) = -2 + s - 3 - 4. Let d be p(9). What is the lowest common multiple of 2 and u(d)?
22
Let v = -9515 - -56951/6. Find the common denominator of v and (2*(-185)/25)/(-6).
30
Let n = 1262536441/419090 - -37/125727. Let c = 3013 - n. What is the common denominator of c and 125/6?
30
Suppose -10*m + 13*m = 2*r - 77, 4*r + 4*m - 164 = 0. Calculate the lowest common multiple of r and 11.
440
Let v = 362759/70 + -5183. What is the common denominator of v and 155/84?
420
Let g(b) = -b**3 - 2*b**2 + b + 4. Let v be (3/1)/(-8 + 7). What is the smallest common multiple of g(v) and 7?
70
Let p = -6600113 + 118870057/18. Let q = -3777 + p. What is the common denominator of 79/4 and q?
36
Let f = -1863/2 + 956. Calculate the common denominator of 119/12 and f.
12
Let p = -212 + 1255/6. Find the common denominator of ((-15)/12 - 0)/((-18)/(-12)) and p.
6
Let p = -364/25 - -1087/200. Let x = -35447/78372 - 1/11196. Find the common denominator of p and x.
168
Let p(a) = -a - 4. Let n be p(-4). What is the common denominator of -23/11 and (284/(-12) + n)/(-1)?
33
Let g be 2*4 - (10 - 6). What is the lowest common multiple of (28 - (-6)/3)/(g - 3) and 24?
120
Suppose 10 = -0*d + d - 4*o, 4*o = -2*d + 56. Let x = -191 + 195. Let t = 16 - x. What is the smallest common multiple of d and t?
132
Let c = -12055/14 - -862. Calculate the common denominator of ((-255)/16)/(0 + 6) and c.
224
Suppose -4080 = -0*d - 2*d. Let t = 230345 + -684979/3. Let x = t - d. What is the common denominator of x and -16/9?
9
What is the common denominator of 133/132 and (-5075)/(-70)*1/(55/3)?
132
Let d(z) = -z**3 + 9*z**2 + 10*z + 3. Let j be d(10). Suppose 0 = 5*s, 2*s - 12 = -p + j*s. Calculate the smallest common multiple of (-198)/p*(-6)/9 and 1.
11
Let k = -2413849/12 + 200412. Let z = -740 - k. Calculate the common denominator of z and 115/12.
12
What is the common denominator of -47 and ((-272)/6 - 0) + 9/27?
1
Let z = -364 + 657. Suppose -285 = 3*u + 2*u - 5*x, 5*u + 3*x + z = 0. Let j = -229/4 - u. What is the common denominator of -27/22 and j?
44
Let w = -5059 + 44650/9. Let c = -13583/144 - w. What is the common denominator of -95/14 and c?
112
Let h = 323 - 221. Suppose -h = -5*q - 2. Calculate the least common multiple of 18 and q.
180
Let t = 46686 - 9804029/210. Calculate the common denominator of t and 17/20.
420
What is the common denominator of (-550)/(-72) + (-39)/(-52) and 43/18?
18
Let d(z) = -z**3 - 6*z**2 + 16*z + 4. Let y be d(-8). Suppose -y*v - 14 = -22. What is the lowest common multiple of 3 and v?
6
Suppose -5*n + 3*u = -11, 3*n - 7 = 3*u - u. Calculate the common denominator of -15/7 and n/((-300)/62 + 5).
35
Let m = 17173/4 + -4270. Let b be 9/(-1) - -1*1. What is the common denominator of m and (-2)/((15/b)/(-3))?
20
Find the common denominator of ((-14)/31)/((-210)/(-20) + -10) and 21/4.
124
Let u = 25 - 15. Suppose 0 = 21*b - 16 - 68. Calculate the least common multiple of b and u.
20
Let b = -48377/320 - 7/320. Let j = b - -151. What is the common denominator of -33 and j?
5
Calculate the lowest common multiple of 6 and 14/8 + (-520)/(-32).
18
Suppose 2995 = 4*o + g, 4*g = -16*o + 21*o - 3770. What is the smallest common multiple of o and 39?
9750
Let m = 243 + -150. Calculate the smallest common multiple of m and 11.
1023
Let b(k) = -k**3 + 4*k**2 + 3*k + 12. Let y be b(5). Suppose c + y*l = 6, 3*l + 44 = 5*c - l. What is the lowest common multiple of 2 and c?
8
Suppose 2 = 4*o - 3*o - a, 2 = 4*o - a. Suppose r - 3*r + 16 = o. What is the smallest common multiple of r and 2?
8
Suppose -5*y + 23 = -7. Calculate the smallest common multiple of (-166)/(-5) + 48/60 and y.
102
Let t = -160 - -168. Suppose 5*j - 6 = 4*s - 18, 4*j + t = 3*s. What is the lowest common multiple of 12 and s?
24
Let r(l) = l**3 - 8*l**2 - 16*l - 8. What is the lowest common multiple of r(10) and 56?
224
Let r = 7/6 - 44/3. Calculate the common denominator of 89/(-20) - (-3 - 0) and r.
20
Let s be (166 - (1 + (1 - -1))) + 3. Suppose r = -3*r - 4, -3*t + 4*r = -s. Calculate the smallest common multiple of t and 6.
54
Suppose 4*f + 0*a + 4*a - 544 = 0, -a = -4*f + 559. Suppose -3*q + f = -b, q + q = 2*b + 98. Let c = q - 23. Calculate the least common multiple of c and 8.
88
Suppose s - 6*s = -2*p - 354, -s + 2*p + 74 = 0. Calculate the lowest common multiple of 63 and s.
630
What is the common denominator of 1 - (-6)/378*-14 and -19/140?
1260
Let j = 120985/18 - 6729. Let o = 239477/16 + -14961. Find the common denominator of o and j.
144
Suppose -k - k = -256. Suppose -5*r = -t - 30, -5*r - 2*t + 4 = -11. Suppose r*s = -43 + k. What is the lowest common multiple of 3 and s?
51
Let t(w) = 10*w + 15. Let m be t(-11). Let f = -45 - m. Suppose f = 3*a - 160. What is the lowest common multiple of a and 16?
560
Let j = 1755 + -1716. What is the lowest common multiple of j and 18?
234
Let d = -28/19 - 875/38. Let c = d - -511/22. Calculate the common denominator of -6 and c.
11
Let w = 14 - 18. Let u be (-212)/(2/(3 + w)). Suppose -u = -5*f + 4*q, f + q - 21 = 2*q. What is the smallest common multiple of 22 and f?
22
Let n = -22411/18 + 1239. Calculate the common denominator of 1 + ((-29)/(-24) - 0) and n.
72
Let v(z) = -12*z - 52. Calculate the smallest common multiple of 100 and v(-31).
1600
Let a = -22 + 157/4. Let w = -842/237 + -2640841/948. Let f = 2766 + w. Calculate the common denominator of f and a.
4
Let j(y) = 12*y**3 + 2*y**2 - 2. Let k be j(2). What is the common denominator of -12/13 and (k/(-20))/((7/2)/7)?
65
Suppose 4*j = -4*a + 224, 5*a + 29*j - 25*j - 279 = 0. What is the least common multiple of 22 and a?
110
Let z = 2574 + -2544. What is the lowest common multiple of z and 120?
120
Let y(k) = k**2 + 27*k + 70. Let q be y(-23). Let a(n) = -n**3 - 23*n**2 - 23*n - 21. What is the common denominator of -39/11 and a(q)?
11
What is the common denominator of 121/24 and (440/(-28) + -3)/(570/(-35))?
456
Suppose s + 5 = -2*l, 3*l - 3*s + 0 = -21. What is the common denominator of ((-106)/(-6))/(l/(-3)) and (-111)/(-2)*2/(-3)?
4
What is the common denominator of 16/22*(67/68 + -1) and -53/68?
748
Suppose 251*n = 258*n - 315. | {
"pile_set_name": "DM Mathematics"
} |
1 x when four letters picked without replacement from {x: 1, s: 1, b: 2, e: 1}.
0
Three letters picked without replacement from {o: 2, q: 1, x: 2, z: 3, n: 3, y: 3}. What is prob of picking 1 y and 2 x?
3/364
What is prob of picking 2 s and 1 o when three letters picked without replacement from sosoesosoessooo?
3/13
Calculate prob of picking 1 e and 2 d when three letters picked without replacement from nddeneddneddednde.
7/34
Two letters picked without replacement from {p: 6, l: 6}. Give prob of picking 1 p and 1 l.
6/11
Calculate prob of picking 3 t when three letters picked without replacement from {t: 9, r: 3}.
21/55
Calculate prob of picking 2 j and 1 a when three letters picked without replacement from {a: 5, j: 9}.
45/91
Two letters picked without replacement from zvccvvvvcz. What is prob of picking 1 z and 1 v?
2/9
Two letters picked without replacement from {a: 8, q: 1, w: 3, j: 3, p: 3}. Give prob of picking 1 j and 1 q.
1/51
Four letters picked without replacement from iaviavvudvdavvdif. What is prob of picking 1 v, 1 u, 1 a, and 1 i?
27/1190
Three letters picked without replacement from inpnnipiippiipipiip. What is prob of picking 1 n and 2 p?
21/323
Two letters picked without replacement from {j: 1, v: 2, k: 4, a: 3, f: 2, n: 3}. Give prob of picking 1 a and 1 n.
3/35
Two letters picked without replacement from {k: 5, f: 5}. What is prob of picking 2 f?
2/9
Three letters picked without replacement from {n: 3, j: 2, w: 3}. What is prob of picking 3 n?
1/56
Three letters picked without replacement from {e: 8, x: 4, b: 1, d: 2}. What is prob of picking 2 d and 1 e?
8/455
Two letters picked without replacement from {h: 7, q: 2, t: 6}. Give prob of picking 1 q and 1 t.
4/35
What is prob of picking 3 v and 1 j when four letters picked without replacement from {j: 6, v: 2}?
0
Two letters picked without replacement from nnnrnegognoggggnnnnj. What is prob of picking 1 r and 1 j?
1/190
Three letters picked without replacement from jjjjjmxxx. What is prob of picking 2 j and 1 x?
5/14
Calculate prob of picking 2 f, 1 x, and 1 o when four letters picked without replacement from oxhhhhxfhx.
0
Two letters picked without replacement from {m: 6, y: 2}. What is prob of picking 2 m?
15/28
What is prob of picking 2 g, 1 v, and 1 z when four letters picked without replacement from vggczgzzzczzzzzzgzg?
55/1938
Calculate prob of picking 2 k and 1 o when three letters picked without replacement from ddokahaokokadkddkd.
5/136
What is prob of picking 1 p and 1 g when two letters picked without replacement from {k: 2, p: 1, g: 1}?
1/6
Calculate prob of picking 1 s and 1 g when two letters picked without replacement from sgsgggssggsgs.
7/13
Two letters picked without replacement from {w: 3, v: 1, e: 4, t: 2}. Give prob of picking 2 v.
0
What is prob of picking 2 v, 1 f, and 1 j when four letters picked without replacement from {v: 5, y: 4, j: 6, f: 4}?
20/323
Four letters picked without replacement from fssxxffxfsfse. What is prob of picking 3 f and 1 x?
6/143
What is prob of picking 3 f when three letters picked without replacement from {f: 4, q: 4, c: 7}?
4/455
Calculate prob of picking 1 w and 1 l when two letters picked without replacement from qqwqplapq.
1/36
Three letters picked without replacement from {f: 1, z: 5, l: 3, p: 1, q: 4}. What is prob of picking 2 l and 1 f?
3/364
Four letters picked without replacement from {s: 18, d: 2}. Give prob of picking 2 d and 2 s.
3/95
Two letters picked without replacement from {s: 1, r: 1, b: 3, j: 1, o: 12, g: 2}. Give prob of picking 2 g.
1/190
Two letters picked without replacement from {d: 2, o: 2, b: 1, n: 2, h: 1}. What is prob of picking 2 o?
1/28
Two letters picked without replacement from rvvnrvonnj. What is prob of picking 1 r and 1 v?
2/15
What is prob of picking 2 v when two letters picked without replacement from {v: 4, o: 8, c: 8}?
3/95
What is prob of picking 2 l when two letters picked without replacement from {l: 2, w: 9, z: 2}?
1/78
Calculate prob of picking 3 e when three letters picked without replacement from {e: 8, k: 2, h: 9}.
56/969
What is prob of picking 2 e and 1 k when three letters picked without replacement from eekhm?
1/10
Three letters picked without replacement from hlllgglllgglllgh. Give prob of picking 1 g and 2 h.
1/112
Four letters picked without replacement from {k: 10, n: 3, u: 4, x: 3}. Give prob of picking 3 n and 1 k.
2/969
What is prob of picking 2 s when two letters picked without replacement from qnswtss?
1/7
What is prob of picking 2 p when two letters picked without replacement from ppppp?
1
Four letters picked without replacement from uooduyuooudyu. Give prob of picking 2 y and 2 o.
6/715
What is prob of picking 1 b, 1 a, and 1 s when three letters picked without replacement from {b: 3, a: 1, s: 5}?
5/28
Four letters picked without replacement from {e: 3, s: 3, w: 6, x: 2, f: 1, t: 4}. What is prob of picking 1 e, 2 t, and 1 f?
3/646
Calculate prob of picking 2 c when two letters picked without replacement from qqqqqqccq.
1/36
Four letters picked without replacement from {y: 6, f: 1, d: 4, i: 2}. What is prob of picking 2 y and 2 i?
3/143
Three letters picked without replacement from oouikioooikoikokooo. Give prob of picking 1 o, 1 k, and 1 u.
40/969
Calculate prob of picking 3 x and 1 l when four letters picked without replacement from {t: 1, x: 11, l: 2}.
30/91
What is prob of picking 2 i and 2 d when four letters picked without replacement from {i: 5, d: 2}?
2/7
Two letters picked without replacement from {k: 7, d: 4, z: 2}. What is prob of picking 1 z and 1 k?
7/39
Three letters picked without replacement from {q: 4, i: 4, d: 4, o: 4, c: 4}. What is prob of picking 2 i and 1 q?
2/95
Two letters picked without replacement from iikkryxdiiki. What is prob of picking 1 r and 1 k?
1/22
Three letters picked without replacement from dydddwy. What is prob of picking 2 d and 1 w?
6/35
Calculate prob of picking 2 t and 1 l when three letters picked without replacement from btbutlbububbltuttub.
20/969
Three letters picked without replacement from nhemf. What is prob of picking 1 f, 1 m, and 1 e?
1/10
What is prob of picking 3 i and 1 n when four letters picked without replacement from {n: 3, i: 15}?
91/204
Two letters picked without replacement from {z: 2, r: 6, o: 3, i: 8}. What is prob of picking 1 z and 1 r?
4/57
What is prob of picking 1 t and 3 a when four letters picked without replacement from {a: 4, v: 1, t: 6, i: 2, l: 4}?
6/595
Two letters picked without replacement from bjvkhbjjjjjhkhkh. Give prob of picking 1 b and 1 k.
1/20
Two letters picked without replacement from yyykwmmkkzkkkmzzzamz. What is prob of picking 1 z and 1 m?
2/19
Calculate prob of picking 1 w and 1 r when two letters picked without replacement from wwwwtrrtrwwtw.
7/26
Two letters picked without replacement from tyysyys. Give prob of picking 2 t.
0
Two letters picked without replacement from sssusssssusu. What is prob of picking 2 s?
6/11
Calculate prob of picking 2 j when two letters picked without replacement from jssbsjjjsbjbbs.
10/91
Three letters picked without replacement from {n: 2, s: 1, v: 1, w: 1, c: 2}. Give prob of picking 1 w and 2 n.
1/35
Two letters picked without replacement from {a: 2, e: 2, g: 2}. Give prob of picking 2 g.
1/15
Four letters picked without replacement from kdkddk. What is prob of picking 2 d and 2 k?
3/5
Three letters picked without replacement from ouoouyffxbouux. Give prob of picking 1 b and 2 o.
3/182
Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {v: 3, u: 1, b: 1, i: 4, z: 3, p: 5}.
1/34
What is prob of picking 2 s and 1 e when three letters picked without replacement from {p: 2, e: 3, v: 5, s: 3}?
9/286
Two letters picked without replacement from vvqurdg. What is prob of picking 1 r and 1 u?
1/21
Four letters picked without replacement from {t: 5, k: 3, n: 5}. Give prob of picking 2 t and 2 n.
20/143
Calculate prob of picking 3 j when three letters picked without replacement from {f: 7, j: 4}.
4/165
Three letters picked without replacement from mccqqut. Give prob of picking 2 q and 1 u.
1/35
Calculate prob of picking 1 x and 2 f when three letters picked without replacement from {f: 11, x: 1, v: 5}.
11/136
Wha | {
"pile_set_name": "DM Mathematics"
} |
derivative of 135*c**2*n**3 - 1856*c**2*n**2 + 12*c**2*n - 12814*c**2 wrt n.
810*c**2*n - 3712*c**2
Find the second derivative of -913213*l**3 + 23720*l + 12.
-5479278*l
What is the second derivative of -4*m**4 - 123*m**3 + 7*m**2 + 46836*m?
-48*m**2 - 738*m + 14
Find the third derivative of -68300*f**6*u - 2*f**4*u**2 - 9*f**2*u**2 - 9421*f**2*u wrt f.
-8196000*f**3*u - 48*f*u**2
Find the third derivative of 67127*i**6 + 81863*i**2 wrt i.
8055240*i**3
What is the derivative of -66*w**3 + 3*w**2 + 50*w - 609600 wrt w?
-198*w**2 + 6*w + 50
Find the third derivative of 527076*l**3 + 2531224*l**2.
3162456
Find the second derivative of 1559*c**3 - 74*c**2 + 282681*c wrt c.
9354*c - 148
What is the derivative of 237056*b**2 + 3*b + 239686 wrt b?
474112*b + 3
What is the derivative of 2686396*m**2 + 2*m - 1275120 wrt m?
5372792*m + 2
What is the derivative of 2*d**2 + 88385*d + 120178 wrt d?
4*d + 88385
Differentiate -1285116*a + 179198 wrt a.
-1285116
Find the third derivative of 107959*k**4 + 788*k**2.
2591016*k
What is the third derivative of 142961*i**2*n**5 + 341*i**2*n**2 + 3*i*n**5 - 2*i*n + 102 wrt n?
8577660*i**2*n**2 + 180*i*n**2
Differentiate -67*r*s**2 + 3*r*s + 120*r + 76134*s**2 wrt r.
-67*s**2 + 3*s + 120
Find the third derivative of -2*o**6 - 53024*o**5 - o**3 - o**2 + 4545*o wrt o.
-240*o**3 - 3181440*o**2 - 6
What is the third derivative of 43*a**3*p**2*y**3 + 521*a**3*p*t*y**2 - 73*a**3*t*y - 2*a**3*y + a**2*p**2*t*y**2 - 3515*a**2*p*t*y**3 - 2*p**2 wrt y?
258*a**3*p**2 - 21090*a**2*p*t
Find the third derivative of -131792*w**3 - 112477*w**2 - 2*w wrt w.
-790752
Find the second derivative of 181*m**3 + 6*m**2 - 8341*m - 3 wrt m.
1086*m + 12
Find the second derivative of 13*j**2*w - 860*j**2*x**2 - 1841*j*w*x**2 - 96*j*w*x wrt j.
26*w - 1720*x**2
Find the second derivative of -21080*m**3 + 3*m - 43123.
-126480*m
Find the third derivative of -d**4 + 50434*d**3 + 2*d**2 - 5797 wrt d.
-24*d + 302604
What is the derivative of 1150*g**3*m*w - g**3*m - 59*g**3*w + 18*g**3 + 6*g**2*m - 37*g**2 + 3*m wrt w?
1150*g**3*m - 59*g**3
Find the second derivative of 19916*s**2 + 86633*s wrt s.
39832
Find the third derivative of -t**6 + 3211*t**5 - 107*t**3 + 2*t**2 - 8*t + 12404 wrt t.
-120*t**3 + 192660*t**2 - 642
Find the first derivative of -519644*n**2 + 482558.
-1039288*n
What is the first derivative of a**2*v*z**2 + 1192*a**2 - 11*a*v - 21*v + 21032*z**2 wrt a?
2*a*v*z**2 + 2384*a - 11*v
What is the third derivative of g**5 - 299*g**4*y**2 + 8*g**3*y - 4907*g**2*y**2 + 4*g*y wrt g?
60*g**2 - 7176*g*y**2 + 48*y
What is the second derivative of -2*b*i**2*z**2 + b*i**2 - 25*b*i*z**2 + 2*b*z - 94382*i**2*z**2 - 3*i*z + 662*z**2 wrt i?
-4*b*z**2 + 2*b - 188764*z**2
What is the second derivative of 5*f**3 - 666*f**2 - 75*f - 12519?
30*f - 1332
Find the second derivative of 471283*r**2 - 70*r + 1792.
942566
Find the second derivative of 14*r**4 + 20197*r**3 + 356025*r wrt r.
168*r**2 + 121182*r
What is the derivative of 295*i**3 - 38*i**2*r - 6*r + 135631 wrt i?
885*i**2 - 76*i*r
What is the third derivative of -266*j*v**3*w + 6*j*v**3 - 2*j*v**2 + v**3*w + 3*v**3 - 4073*v**2*w + 15*v*w wrt v?
-1596*j*w + 36*j + 6*w + 18
Find the second derivative of -1510*c*r**2 + 57212*c*r - 1005*r**3 + 8*r wrt r.
-3020*c - 6030*r
What is the third derivative of -373012*a**3 - 2*a**2 - 167516*a + 1 wrt a?
-2238072
Differentiate -54482*w**2 - 446 with respect to w.
-108964*w
What is the first derivative of -13*d**2*i*z + 55028*d**2 + 2*d*i**2 - 4732*i**2*z wrt z?
-13*d**2*i - 4732*i**2
What is the second derivative of -o**5 + 8*o**4 + 279*o**3 + 8962*o - 2 wrt o?
-20*o**3 + 96*o**2 + 1674*o
What is the second derivative of -1159*c**5 - 3022*c + 4?
-23180*c**3
Differentiate -44369*o**2*x - 10*o*x - 1011431*x wrt o.
-88738*o*x - 10*x
What is the first derivative of 7*q**4 - q**3 - 1257*q + 7751?
28*q**3 - 3*q**2 - 1257
Find the second derivative of 129968*n**3*y + n**2*y + 5897*n*y + 19*y wrt n.
779808*n*y + 2*y
Find the third derivative of 3*r**3*x + 5410*r**3 - 2*r**2 + r*x - 9*x - 21 wrt r.
18*x + 32460
What is the first derivative of -5*d**4*n**2 - d*n**3 - 14839*d - 152137*n**3 - n**2 wrt d?
-20*d**3*n**2 - n**3 - 14839
What is the second derivative of 650925*a**2 - 2*a + 136835 wrt a?
1301850
Find the third derivative of a*f*i**3 - 2*a*f*i**2 + 483*a*f*i + 2*a*i**3 + 3*a*i**2 - 4337*f*i**3 + i**3 + 4*i**2 wrt i.
6*a*f + 12*a - 26022*f + 6
What is the third derivative of 59124*a**6 + 804756*a**2 wrt a?
7094880*a**3
Find the second derivative of -73*b**2*o + 6*b**2 + b*o - 7*b + o - 220 wrt b.
-146*o + 12
Differentiate 413*g**2*s**3 + 41*g**2*s + 3*g*s**3 - 41914*s**3 with respect to g.
826*g*s**3 + 82*g*s + 3*s**3
What is the derivative of 36162*a**2 + 51614?
72324*a
Find the second derivative of -172651*o**2 - 23774*o wrt o.
-345302
What is the third derivative of -804*j**4 - 2*j**3 - 13861*j**2 wrt j?
-19296*j - 12
Find the second derivative of -76*y**5 + 21*y**3 + 3*y**2 - 1172*y + 7.
-1520*y**3 + 126*y + 6
Find the second derivative of -94210*g**2 - 173004*g wrt g.
-188420
Differentiate -225852*n**2 - 168263 with respect to n.
-451704*n
Find the second derivative of -154162*p**5 - 2*p - 5734.
-3083240*p**3
What is the second derivative of -45986*c**2*o**2 + 7*c**2 - c*o - 4*c + 208 wrt o?
-91972*c**2
Differentiate -341205*l**4 + 476020.
-1364820*l**3
What is the third derivative of -2*r**3*s**3 - 62090*r**3*s - 1319*r**2*s**2 - 11*s**3 - 2*s**2 wrt r?
-12*s**3 - 372540*s
Find the third derivative of 1065*w**6 - 7*w**2 - 184*w - 5.
127800*w**3
Differentiate -180142*q**4 - 420166.
-720568*q**3
Differentiate -2*l**3 + 64887*l**2 - 1011465 wrt l.
-6*l**2 + 129774*l
What is the third derivative of -768262*a**6 + 2*a**2 - 28*a - 1495?
-92191440*a**3
Find the second derivative of 411*u**5*z + 4739*u**3*z**3 - u*z**3 + 127*u*z**2 + 3*u + 2*z**3 - z wrt u.
8220*u**3*z + 28434*u*z**3
What is the third derivative of -5*p**3*s**3 + p**3*s + 124*p**2 + 17002*s**3 + 2*s**2 wrt s?
-30*p**3 + 102012
Find the first derivative of -192948*i**2 + 2*i + 588946.
-385896*i + 2
Find the first derivative of -m**2 - 96089*m - 150919.
-2*m - 96089
What is the third derivative of -219730*a**3 + 314457*a**2 wrt a?
-1318380
Find the third derivative of b**3*x**3 - 6*b**3*x**2 + 29*b**3*x + 11962*b*x**3 wrt x.
6*b**3 + 71772*b
Find the third derivative of -c**5*i + 6439*c**4 + 31*c**3*i + 6*c**2*i - 22*c**2 + 3*c*i - 9*i + 4 wrt c.
-60*c**2*i + 154536*c + 186*i
What is the third derivative of 35*u**6 - 2*u**5 - 1311*u**4 - 4*u**2 - 1434*u + 13 wrt u?
4200*u**3 - 120*u**2 - 31464*u
What is the second derivative of k**4*n + 5370*k**2*n**3 - 2*k**2*n + 705*k*n + 4*n**3 wrt k?
12*k**2*n + 10740*n**3 - 4*n
Find the third derivative of 3*c*d**6 + 2*c*d**2 - 470*c*d + 2*c + 3614*d**3 - d**2 wrt d.
360*c*d**3 + 21684
Find the first derivative of 80*a**3*b - 2*a**2*b + 4291*a + 419490*b + 3 wrt a.
240*a**2*b - 4*a*b + 4291
Find the second derivative of -16*b**5 + b**4 + 2811*b**2 + 543275*b.
-320*b**3 + 12*b**2 + 5622
Find the first derivative of 3544155*b**4 - 3520165 wrt b.
14176620*b**3
What is the third derivative of g**6*j + 85646*g**6 + 824*g**2*j - 33*g**2 + 3*j wrt g?
120*g**3*j + 10277520*g**3
Find the first derivative of -273060*c + 165506.
-273060
Differentiate 134120*s - 127239.
134120
What is the third derivative of 2*i*j**4 + i*j**3 - 1115*i*j**2 - 180*j**4 - 5*j**3 + 21*j**2 wrt j?
48*i*j + 6*i - 4320*j - 30
Find the third derivative of -4*f**5 - 27026*f**4 - f**3 - 9*f**2 - 162724*f.
-240*f**2 - 648624*f - 6
Find the second derivative of -13*w**4 + 75799*w**3 + 6495109*w wrt w.
-156*w**2 + 454794*w
What is the derivative of n*r*z**2 - 3*n*r*z - 9*n*z**2 - 34*n*z + 86*r*z**2 + 9*r*z - z + 3 wrt r?
n*z**2 - 3*n*z + 86*z**2 + 9*z
What is the derivative of -5*r**4 - 16*r**3 - 9*r**2 - 53*r - 7261590 wrt r?
-20*r**3 - 48*r**2 - 18*r - 53
Find the third derivative of -1822942*b**5 - 1788873*b**2.
-109376520*b**2
What is the second derivative of -1461112*l**2 - 15947*l + 116 wrt l?
-2922224
What is the second derivative of -3345*n**2*q**2 - 59*n**2 + 2014*n*q**2 + 7*n*q + 6*q wrt n?
-6690*q**2 - 118
What is the second derivative of 175585*m**2 + 29268*m?
351170
What is the second d | {
"pile_set_name": "DM Mathematics"
} |
0.5, -9?
-0.5
What is the closest to 0 in -0.3, 66, -1, 0.2?
0.2
What is the nearest to -6 in -4/3, -3, -0.4, 5?
-3
What is the nearest to 0.2 in 3, -3, -2?
-2
What is the closest to 2/3 in -3.6, -2, -1?
-1
What is the closest to -0.7 in 5, -1, -6?
-1
Which is the closest to 0? (a) 0.9 (b) 0.4 (c) -0.1 (d) 8
c
What is the nearest to -2/3 in -1, 14, -2/5, -6?
-2/5
What is the closest to -0.2 in -4, -0.1, -2?
-0.1
Which is the nearest to 1/3? (a) -5 (b) 2/7 (c) 4 (d) -2
b
Which is the closest to -2/5? (a) 0.3 (b) -2 (c) 3.8
a
Which is the closest to -0.1? (a) -0.4 (b) 3/2 (c) 4 (d) 3/8
a
Which is the closest to 1? (a) -1 (b) -2/13 (c) -2/7 (d) -0.2
b
Which is the nearest to 1/4? (a) -26/3 (b) 4 (c) 0
c
Which is the nearest to 1/4? (a) 2/5 (b) 0 (c) -4/7 (d) 3
a
What is the closest to 0.1 in 4, -3, -0.18?
-0.18
What is the closest to 2 in 1/6, 0.16, -4?
1/6
What is the nearest to -5/3 in 1/13, 3, -1/4, 2/7?
-1/4
What is the nearest to 1 in 4, -40, -0.4?
-0.4
What is the nearest to 0 in -3/4, 0.2, -3, 2/9?
0.2
What is the closest to 2/7 in 0.044, -0.3, -1/8?
0.044
What is the closest to -2/3 in 0.1, -3.1, 2?
0.1
What is the nearest to 1/2 in -481/5, -4, -0.1?
-0.1
Which is the closest to 1/2? (a) -0.5 (b) -0.4 (c) 0.33 (d) -1/5
c
Which is the closest to 2? (a) -16 (b) -2/3 (c) 3/4 (d) 0
c
Which is the nearest to -1? (a) -1/3 (b) 1 (c) 1/2 (d) -97
a
Which is the nearest to -2/5? (a) 0.3 (b) 6 (c) 4/9
a
Which is the closest to 0? (a) -5 (b) 3/7 (c) 10
b
What is the nearest to 0 in -0.03, 0, 0.2, 4?
0
What is the nearest to 3 in -4, -0.06, 1.4, 3/5?
1.4
Which is the closest to 66? (a) 0.4 (b) 0.2 (c) -0.2 (d) -5
a
Which is the closest to -2/7? (a) 0 (b) -3 (c) 14
a
Which is the closest to 1/3? (a) 0.1 (b) 35 (c) 2
a
Which is the closest to -0.4? (a) -4 (b) -0.25 (c) 0.3
b
Which is the nearest to 1/2? (a) 2/11 (b) -0.2 (c) 2/5
c
What is the closest to -4 in -3, -0.8, 4?
-3
Which is the closest to 2/7? (a) -1/2 (b) 1/4 (c) -1/4 (d) -4
b
What is the closest to 2 in -4/9, 2, 2/13?
2
What is the closest to 0 in 5, -1, -2/15?
-2/15
Which is the closest to -2? (a) -37/3 (b) 0.1 (c) 2/17 (d) 0.5
b
Which is the closest to 1/5? (a) -2 (b) 4/9 (c) 0.3
c
What is the closest to -1/4 in -0.1, -3/5, 3, -2/13?
-2/13
Which is the nearest to 0? (a) -0.4 (b) 11.58 (c) -1/3
c
Which is the nearest to -4? (a) -0.1 (b) -2/3 (c) -1 (d) 4/3
c
Which is the closest to -4? (a) 1 (b) -3/4 (c) 0
b
Which is the nearest to -2? (a) -4 (b) -1/7 (c) 2 (d) -1
d
Which is the closest to -2/5? (a) -4/5 (b) 0.8 (c) -5 (d) -1
a
What is the nearest to 8 in 5, -0.08, -2/11, -3?
5
What is the nearest to 1 in -44, -3/4, 5?
-3/4
Which is the closest to 0? (a) 2/15 (b) 2.3 (c) -4 (d) 0.02
d
Which is the nearest to -1? (a) -3 (b) 66/5 (c) 0.1
c
What is the nearest to 1 in 4, -0.04, -0.6, 0.1?
0.1
Which is the nearest to -0.1? (a) -3 (b) 2/3 (c) 7
b
What is the nearest to -3 in -2/3, -5, 1/6, -0.5?
-5
What is the closest to 0.1 in 2/17, -5, 1909?
2/17
What is the closest to -2/9 in 0.2, -417, -1/2?
-1/2
Which is the closest to -3? (a) 3 (b) 4/13 (c) -4
c
Which is the closest to 37? (a) -0.07 (b) -1 (c) -0.4
a
What is the closest to -1/6 in -6, -16, 1/3, -1?
1/3
What is the closest to -1/37 in -2, -0.5, -2/9, 5?
-2/9
What is the nearest to 2/3 in -0.17, 4, -0.2?
-0.17
What is the nearest to -2/5 in 4, -1/4, -1/8?
-1/4
Which is the nearest to -0.1? (a) 0 (b) -2 (c) 0.68 (d) 13
a
What is the closest to -2/57 in 3, -5, 0.2, -2/11?
-2/11
Which is the closest to -7? (a) -0.2 (b) 1/3 (c) -0.1 (d) -5
d
What is the nearest to 0 in 4, 2, -6, 164?
2
What is the closest to 12 in 2/7, 0.1, -9?
2/7
What is the closest to -1 in 5/2, -34, -1/2, 5?
-1/2
What is the nearest to 1 in -1/7, -1/12, 6, 0.01?
0.01
What is the closest to 3 in 1, -22, -0.3?
1
What is the closest to 0.1 in 0.4, 1633, -4?
0.4
Which is the nearest to -1/2? (a) -5 (b) 3.49 (c) -2
c
What is the nearest to -1 in 2/7, -243, -3?
2/7
Which is the nearest to -0.2? (a) -14 (b) 4 (c) 48 (d) -1
d
Which is the nearest to 2? (a) -2 (b) 0.05 (c) 1/2 (d) -4
c
What is the closest to -27 in 0.1, -1/3, -4.2?
-4.2
Which is the closest to -0.1? (a) -1/6 (b) 3 (c) 13
a
Which is the nearest to -1? (a) -0.1 (b) 2 (c) 1 (d) -52
a
Which is the closest to -27? (a) 0.4 (b) 0.3 (c) -1/2
c
What is the nearest to -0.47 in 0.1, -0.3, -6?
-0.3
Which is the nearest to -1? (a) 4.3 (b) 3 (c) 3/7
c
What is the closest to 0.1 in 5/2, 0.5, -4/5, -2/19?
-2/19
What is the nearest to -1 in -0.4, -6, 0.2, 2/3?
-0.4
What is the nearest to -0.03 in -2/3, 7/2, 4?
-2/3
What is the nearest to -0.09 in 5/2, 23/5, -5?
5/2
What is the nearest to 3/5 in -7, 3/5, -1, 5?
3/5
What is the nearest to -1 in -16/3, -5/4, 0.3?
-5/4
What is the closest to 1 in 2, 2/9, 3, -1/8?
2/9
Which is the nearest to -1? (a) -3 (b) -5 (c) 4
a
Which is the nearest to 2? (a) 3 (b) -3 (c) 23
a
What is the nearest to -0.1 in 4/3, -3, -0.6, 3/7?
-0.6
What is the closest to 2/3 in -0.5, 0.6, -2/139?
0.6
What is the nearest to -15 in -2, -3/4, -3?
-3
What is the nearest to 0.1 in 4/5, -0.05, 3/4, 0.3?
-0.05
Which is the closest to -0.1? (a) -3 (b) 3 (c) -2/11 (d) -1/6
d
What is the nearest to 0 in 0.02, -5, -1/6?
0.02
Which is the closest to 0.2? (a) 5 (b) -4/5 (c) 0.1 (d) -1
c
Which is the closest to -1/3? (a) -3 (b) 0.107 (c) -2 (d) 0.1
d
What is the nearest to 3 in 21/5, 0, 2/11, 0.4?
21/5
Which is the nearest to 0? (a) 0.4 (b) 22 (c) 0.1
c
What is the nearest to 2/5 in 2.7, 4, -1.5?
-1.5
What is the nearest to -1/4 in 4, 1/4, -5, -2/13?
-2/13
Which is the closest to 21? (a) -3/7 (b) -15 (c) 4
c
Which is the nearest to 0.2? (a) -2 (b) 0.5 (c) 89
b
What is the closest to 0.05 in 164, -1, 4/9?
4/9
Which is the closest to -1? (a) 4 (b) 0.08 (c) 5 (d) 0.01
d
Which is the nearest to -2? (a) 1/13 (b) -4 (c) 1/7
b
Which is the nearest to 1? (a) -1 (b) -1/5 (c) -14 (d) -0.3
b
What is the nearest to 0 in 0.035, -9, 3, 2/5?
0.035
What is the nearest to 4 in 1/4, 0.4, -8, 7?
7
Which is the nearest to 0? (a) 2/31 (b) -1 (c) -0.3 (d) -0.4
a
What is the nearest to 2/7 in 3/5, -4, 104?
3/5
Which is the nearest to -0.1? (a) 12 (b) -2 (c) 0.1 (d) 3
c
Which is the closest to -0.1? (a) -8/5 (b) 0 (c) -5 (d) 3
b
Which is the nearest to 0.07? (a) -0.28 (b) 0.2 (c) 11
b
Which is the closest to 0? (a) 0.4 (b) -0.5 (c) -0.3
c
Which is the closest to 0.031? (a) 4/9 (b) -1/9 (c) -3/4
b
What is the nearest to 0.1 in 5/2, 0.1, 0.06?
0.1
What is the closest to -0.3 in 0, 3/2, 1/6, 2/29?
0
What is the closest to -0.02 in 2.2, -1, -5?
-1
What is the closest to 2 in 9, 1/6, -3, 0.3?
0.3
What is the nearest to -0.1 in -4, 3, -2, 3/16?
3/16
Which is the closest to -1/2? (a) -5 (b) -1/6 (c) 3
b
What is the nearest to -2 in -6, 0.03, -0.3, 9?
-0.3
What is the nearest to -2/39 in -8, -0.4, -1?
-0.4
What is the nearest to 0.8 in -0.1, -0.3, 0.04?
0.04
Which is the nearest to -0.1? (a) -1 (b) 0.0362 (c) -0.3
b
Which is the closest to -0.1? (a) 0 (b) -0.3 (c) 2/5 (d) 5
a
What is the nearest to -1 in 7, -3, -1/4, 0.5?
-1/4
Which is the nearest to -0.2? (a) 4 (b) -0.5 (c) 3 (d) -113
b
Which is the closest to -1? (a) 18/5 (b) -0.1 (c) 1/2
b
Which is the nearest to 0? (a) -2 (b) -342.6 (c) 1/3
c
Which is the closest to -4? (a) -3/7 (b) 0.4 (c) 5
a
What is the nearest to 19 in -1/7, -1, -5?
-1/7
What is the closest to 0 in -1/14, 16/43, -2/13?
-1/14
What is the closest to 41 in 3, 0.9, -5?
3
What is the closest to 1 in 0.3, -0.1, 3, 0.01?
0.3
What is the nearest to -4/7 in 23.3, -0.3, -1, 5?
-0.3
What is the nearest to -1 in -0.1, -1/6, 4?
-1/6
What is the closest to 23 in -2, -3/7, 4?
4
What is the closest to -18 in 4, -5, 5, 1/8?
-5
Which is the nearest to -3/4? (a) 6 (b) -1 (c) 5 (d) 3/7
b
Which is the nearest to 1/2? (a) -2 (b) 5/2 (c) 4 (d) -5
b
Which is the nearest to 0.1? (a) -3 (b) -5 (c) 0.29
c
Which is the closest to 0? (a) 2/9 (b) -1/4 (c) -3
a
Which is the closest to -0.1? (a) -2/9 (b) 199 (c) -2
a
What is the nearest to 1 in -20, 0, 1/8?
1/8
Which is the closest to 0? (a) -2 (b) -1/3 (c) 5 (d) -6
b
Which is t | {
"pile_set_name": "DM Mathematics"
} |
-35). Solve -y*z = -7*z + u for z.
3
Suppose 0 = -10*w + 417 + 1643. Suppose -w = -10*r - 136. Solve 0 = j + 6*j + r for j.
-1
Let b be (0*(-3)/(-9))/(-2). Let s = 400 - 333. Suppose 4*c - 2 = 2*l, -70*c - 2 = -2*l - s*c. Solve b = -5*w - 18 - l for w.
-5
Let q = 135 - 128. Let n be ((-27)/12 - -2)/(q/(-84)). Solve 4 = -n*j - 2 for j.
-2
Suppose -14*f + 16*f = 132. Let m = f - 56. Suppose -5*t - 5*s = m, -10 = -2*t + 5*s - 0. Solve c + 2 = -t for c.
-2
Let w(x) = -x**3 + 6*x**2 - 6*x + 8. Let q be w(5). Let v be (28 - 29)*-5*q. Solve 15*b - 10*b = -v for b.
-3
Let s be 16380/286 + (-9)/33 + 0. Solve 33*x = -222 + s for x.
-5
Let x(v) = -v + 1. Let w be x(-3). Let k be (-7)/14 - ((-126)/(-12) - 11). Solve -4*g + k*g = w for g.
-1
Suppose 2*g - 219 = -4*x - 129, -5*g = 2*x - 57. Solve -14*c + x*c - 28 = 0 for c.
4
Suppose -5*c = 19 - 99. Suppose 0 = c*l - 17*l + 12. Suppose l*z = 10*z + 10. Solve z*q = -12 - 13 for q.
-5
Let q(v) = -v**3 - 17*v**2 - 17*v - 31. Let x be q(-16). Let h(j) = -6*j - 78. Let i be h(x). Solve i = d + 2*d for d.
4
Let r = -239 - 351. Let k = r - -592. Solve -k*h + 4 = -6*h for h.
-1
Let k = 42 - 42. Suppose k = -30*a + 32*a - 28. Suppose 2*d + 5*p = a, 3*d = -2*d - 4*p + 18. Solve 7 - d = -t for t.
-5
Let x = -166 - -168. Suppose 5*q - 32 = -3*n, 4*q - 18 = -x*n + 2. Solve -n + 6 = -2*u for u.
4
Suppose -3*d = -156 + 48. Let m(w) = w**3 - 2*w**2 - 3*w. Let x be m(3). Suppose 9*t - d = -x*t. Solve 2*u = t*u - 4 for u.
2
Suppose 559 = 7*f - 778. Let o = -191 + f. Solve -i - i = o for i.
0
Suppose 0 = 6*m + 3*m - 27. Suppose 2*d = -10, 5*j - m*d = -4*d + 20. Let z be (-2)/j + 114/10. Solve -z*l = -7*l for l.
0
Let q = 3430 + -3418. Solve -15 = -9*l + q*l for l.
-5
Let m(r) = 2*r**3 - r**2 - 1. Let w be m(2). Let n be (3*-1)/(w/(-55)). Suppose j - 19 = -7*b + 3*b, -2*b + 5*j = -n. Solve -19 = -b*v - 4 for v.
3
Let f be (-1 + (2 - 2))*-3. Suppose f*s - 52 = -4*c, -4*s - c + 10 = -42. Suppose -5*p = -9*p + s. Solve 9 = -p*i + 3 for i.
-2
Let n(d) = -1962*d - 17653. Let h be n(-9). Let z = 17 + -6. Solve 2*k + h = z for k.
3
Suppose 2*k - 2*a + 50 = -0*k, a = 0. Let v = k + 28. Suppose -5*w - 8 = -2*g, -v*g - 2 = 2*w - 14. Solve w*u = -2*u + 2 for u.
1
Suppose 295 - 25 = 5*g - 5*i, -g = 5*i - 84. Solve -g*a = -40*a + 57 for a.
-3
Suppose -3 + 27 = 3*q. Suppose -q*p = 1 - 97. Solve d = -2*d - p for d.
-4
Let i = 16 + 12. Suppose -17 = -5*b + 4*g + 129, -92 = -4*b - 3*g. Let t = i - b. Solve 0 = t*k - 0*k for k.
0
Let s(g) be the second derivative of 23*g**4/12 - 3*g**2/2 - 9*g. Let j be s(2). Suppose 0 = -10*b + j + 31. Solve -b = -0*r - 3*r for r.
4
Suppose -38 = -5*v + 17. Suppose 0 = -116*d - 134 + 1642. Suppose d*y = 28 + v. Solve o + 10 = y*o for o.
5
Let b(u) be the third derivative of u**4/24 + 2*u**3 + 16*u**2. Let d be b(-5). Suppose 3*a + 3*q - 8 = 4*a, -4*a = q - d. Solve -a = 4*x - 21 for x.
5
Suppose 11*o = -251 + 273. Suppose 0 = 2*s - o*u - 20, 2*s = -4*u + 11 - 21. Let v be 0/1 - (-23 + 1). Solve s*q - 7 = -v for q.
-3
Suppose 0 = -h, -2*q + 4*h = -3 - 3. Suppose 96 = -5*x + 7*x. Suppose -x = -4*y - 40. Solve y*g - 4 = q*g for g.
-4
Let g(z) = z**2 - 10*z + 12. Let s be g(9). Suppose 50*k = 10*k + 1680. Let x = 42 - k. Solve 0 = s*y - x*y + 9 for y.
-3
Let p be (266/190 + 6/(-15))*17. Solve -p*r = -1206 + 1257 for r.
-3
Suppose 4*b + 2*g = 4*g + 220, 5*g = 5*b - 285. Solve -60 = -7*d - b for d.
1
Suppose 351*p - 181*p = 9520. Solve -62*v = -54*v + p for v.
-7
Suppose 24384 = 61*d + 248*d + 1209. Solve 9*w = -12 + d for w.
7
Suppose 106*i - 469 = 61. Solve 10*g - 15 = -i*g for g.
1
Let g be (2 + 1)/(3/2)*2. Let w(n) be the first derivative of 3*n**2 - 14*n + 2. Let s be w(4). Solve s = -2*q + g*q for q.
5
Let n(y) = y**3 - 3*y**2 - 6*y + 4. Let m be n(5). Let q = 15773 - 15754. Solve m*h = q*h for h.
0
Suppose 0 = 2*o - u, 0 = 4*o - 0*o + u. Let m(w) = 18*w + 55. Let a be m(-12). Let f = -157 - a. Solve -f*n + 4 + 0 = o for n.
1
Let o(q) = -q**3 - 26*q**2 + 36*q + 245. Let r be o(-27). Solve -7*g - 33 = r for g.
-5
Suppose -8*k + 12*k - 147 = -3*b, -72 = -2*k - 2*b. Let u = k - 33. Solve -3*m = u*m + 18 for m.
-2
Suppose -5*s = 19 - 9, -12 = -4*d + 2*s. Suppose -3*w - 4*l = 39, d*w + w - 2*l = -21. Let y = -6 - w. Solve y*k = -8 - 1 for k.
-3
Let f = -7432 - -7741. Solve -70*a + 181 = -f for a.
7
Let r be (-79)/(-7) + 4/(-14). Let v(c) = 15 - 5*c**3 + 4*c**3 + 52453*c**2 - 52441*c**2 - 12*c. Let j be v(r). Solve 0*l = -j*l - 8 for l.
-2
Let v(y) = 2*y - 10. Let t be v(8). Let d(g) = -3*g - 6. Let r be d(-3). Suppose -6*w = -5*w - r. Solve -3*p = -t - w for p.
3
Suppose -208*z = -181 - 235. Suppose 0*k + 5*k + h = -4, 5*h + 20 = 5*k. Solve -3*r - z - 7 = k for r.
-3
Let k = -26621 - -26739. Solve -14 = 22*n + k for n.
-6
Let w(v) = -v - 38. Let h be w(-40). Let b(a) = 5*a**2 - 4*a - 3. Let t be b(h). Solve t = -3*c - 6 for c.
-5
Let w be (-189)/27 + 0 + -437. Let r = -440 - w. Suppose 0 = 4*u + u - 10. Solve 2*v = -u*v + r for v.
1
Suppose -4*i = -m - 51, -24 = 278*i - 279*i + 4*m. Let j be -1*(0 - 8*1). Solve -8*w = -i*w - j*w for w.
0
Suppose -5*u = -10 + 155. Let n be ((0 + 1)*u - -1) + 3. Let r be n/(-2) + 5/(-10). Solve -v = 2*v - r for v.
4
Let j be (63 - 53)*27/6. Solve 0 = -5*i + j - 45 for i.
0
Let x = -662 + 667. Suppose -b - 2*b + 34 = 7*f, -3*b + 26 = x*f. Solve 9*j + f = 4 for j.
0
Let q(t) = t**3 - 24*t**2 + 74*t + 120. Let r be q(20). Solve r = -8*a + 20*a - 72 for a.
6
Let c(n) = n**3 + 59*n**2 - 69*n - 501. Let h be c(-60). Solve -h*v - 118 = 38 for v.
-4
Let z be (-93*3*6/9)/(-1). Let k = -171 + z. Solve -3*t - 2*t = -k for t.
3
Let q(g) = g + 1. Let v(u) = 29*u + 60. Let y(m) = 2*q(m) - v(m). Let o be y(-3). Solve -o = -5*j - 3 for j.
4
Let v(g) = -61*g + 918. Let j be v(15). Suppose 12 = 2*h - 2*b, 4*h + 4*b = -b - 3. Solve 0 + j = h*i for i.
1
Let q be (-27)/(-18)*(-16)/6. Let s be -1*6 + 2 + q + 4. Let c(x) = -3*x - 7. Let m be c(s). Solve -m*k - 15 = -10*k for k.
3
Let p(i) = 300*i - 8*i**3 + 7*i**3 + 3 - 256*i + 20*i**2. Let s be p(22). Solve -d - 6 = -s for d.
-3
Suppose -66*w + 2191 + 779 = 0. Solve -w*h = -38*h - 49 for h.
7
Suppose 2*n = 2*x - 2, 32 = 3*n + 2*x + 30. Solve 9*w + 3*w - 48 = n for w.
4
Suppose 115*r - 58*r - 213 = -42. Solve r*u - 3 + 18 = 0 for u.
-5
Let y = -79 - -88. Let l be y + (7 - -5)/(-4). Solve 0 = l*b - b for b.
0
Suppose -85*z + 83*z = -9*i - 9, 2*z - i = 1. Solve 28*d - 22*d - 6 = z for d.
1
Let s(w) = -w**2 + 7*w - 7 + 15*w + 0*w**2 - 33. Let j be s(20). Let u(r) = 7*r**2 - r + 6. Let o be u(j). Solve -o*l = -l for l.
0
Suppose 2*g - 10 + 0 = 0. Suppose -6*l + 3 = -g*l. Let a = -205 + 213. Solve -i + a = -l*i for i.
-4
Let a be 40*32/256 + (1 + 1)*1. Solve 30 = -13*v + a*v for v.
-5
Let i(m) = m**3 + 7*m**2 - 12*m + 3. Let d be i(-9). Let h = d - -55. Let b be h/10 + (-10)/25. Solve 0 = -k - b*k for k.
0
Let v be 6/(-14) + -2*(-51)/42. Suppose -3*q + v*x + 96 = -4, -4*q - 3*x + 156 = 0. Solve -2*t - 7*t + q = 0 for t.
4
Let k(l) = -9*l - 32. Let u be k(-6). Let w be 28 - u - -2*2. Solve 0 = -10*g - 40 - w for g.
-5
Let o(q) = -q**3 - 7*q**2 - 8*q - 9. Let m be o(-6). Let r = m + 1. Let a(j) = -j**3 + 19*j**2 - 62*j - 151. Let u be a(7). Solve 0 = -t - u*t + r for t.
1
Let v(g) be the first derivative of g**4/4 + 5*g**3/3 + 2*g**2 + 2*g - 25. Let c be v(-4). Solve -3*s = -c*s + 4 for s.
-4
Suppose 2*c - 13 = -3*f, 2*c = 4*c - 2*f - 38. Suppose 3*n = -c + 29. Suppose 3*z + 9 = s, -s + n*z = z - 10. Solve 0 = -3*m + 9 + s for m.
5
Let c be 3 - -2*(-14)/(-2). Let x be c/4 - (-1)/(-4). Suppose -4*a - 4*g + 3 + 5 = 0, -3*a - x*g = -8. Solve -5*s = -a*s + 10 for s.
-2
Let k = 284 + -281. Suppose 0 = 2*x + 3*b + k, -x - 4*b + 5*b + 6 = 0. Solve -w = -x + 7 for w.
-4
Suppose 0 = 4*o - 5*z + 7130 - 7422, 4*o = 3*z + 284. Solve -65*i + o*i = -12 for i.
-4
Suppose -50*r - 97*r = -54*r. Solve -14*f + 10*f - 20 = r for f.
-5
Suppose 536 = -283*n + 291*n. Let d = 75 - n. Solve -d*y = -9*y + 3 for y.
3
Let n(p) = 3*p + 96. Let j be n(-31). Let c be -1*(-3 + 0 + j). Solve -6*y + 5*y - 3 = c for y.
-3
Suppose -10*l - 7*l - 3400 = 0. Let g = l - -212. Solve -2*q = -5*q + g for q.
4
Suppose -324*u + 9448 = 2820 - 12488. Solve 24*t + 251 = u for t.
-8
Let d be 120/9*(22 + -2 | {
"pile_set_name": "DM Mathematics"
} |
r when 1696273 is divided by 565256.
505
Calculate the remainder when 4068068 is divided by 55.
48
What is the remainder when 915456 is divided by 152574?
12
Calculate the remainder when 8124 is divided by 5420.
2704
Calculate the remainder when 36961 is divided by 35691.
1270
What is the remainder when 273588 is divided by 273577?
11
Calculate the remainder when 527026 is divided by 263331.
364
Calculate the remainder when 14059 is divided by 1168.
43
What is the remainder when 12364 is divided by 1233?
34
Calculate the remainder when 249403 is divided by 16.
11
What is the remainder when 17932541 is divided by 13176?
5
Calculate the remainder when 134423 is divided by 44777.
92
What is the remainder when 1807846 is divided by 79?
10
What is the remainder when 96410 is divided by 23913?
758
Calculate the remainder when 3025547 is divided by 1008504.
35
What is the remainder when 818010 is divided by 25?
10
What is the remainder when 73158387 is divided by 92?
79
Calculate the remainder when 715601 is divided by 12551.
194
What is the remainder when 117790 is divided by 879?
4
What is the remainder when 100183 is divided by 377?
278
What is the remainder when 10270326 is divided by 354149?
5
Calculate the remainder when 25510402 is divided by 56.
50
Calculate the remainder when 85378 is divided by 85357.
21
Calculate the remainder when 586295 is divided by 131.
70
What is the remainder when 75951755 is divided by 3440?
3435
Calculate the remainder when 43356239 is divided by 21.
17
Calculate the remainder when 118249 is divided by 2149.
54
Calculate the remainder when 131649 is divided by 131635.
14
What is the remainder when 10154 is divided by 3638?
2878
Calculate the remainder when 35314433 is divided by 43.
38
What is the remainder when 1496910 is divided by 49888?
270
Calculate the remainder when 4082303 is divided by 531.
506
Calculate the remainder when 111641877 is divided by 436101.
21
Calculate the remainder when 60282 is divided by 3603.
2634
What is the remainder when 9934874 is divided by 3311617?
23
What is the remainder when 6594512 is divided by 1373?
1366
Calculate the remainder when 355060 is divided by 3781.
3427
Calculate the remainder when 20201795 is divided by 2783.
2781
What is the remainder when 5566850 is divided by 915?
905
Calculate the remainder when 7845172 is divided by 1839.
1837
What is the remainder when 57474641 is divided by 4789543?
125
What is the remainder when 50268096 is divided by 28368?
0
What is the remainder when 5130938 is divided by 2202?
278
What is the remainder when 3478466 is divided by 704?
2
What is the remainder when 45784209 is divided by 19045?
29
What is the remainder when 4133332 is divided by 43971?
58
What is the remainder when 27195 is divided by 6542?
1027
Calculate the remainder when 679589494 is divided by 28.
10
What is the remainder when 2262864 is divided by 452287?
1429
Calculate the remainder when 24966964 is divided by 1421.
1415
Calculate the remainder when 1937014 is divided by 645668.
10
Calculate the remainder when 5449977 is divided by 1816640.
57
Calculate the remainder when 190375 is divided by 190228.
147
What is the remainder when 127468504 is divided by 43?
35
Calculate the remainder when 714914404 is divided by 3565.
3564
What is the remainder when 427251 is divided by 313?
6
Calculate the remainder when 14453743 is divided by 108.
103
Calculate the remainder when 111851672 is divided by 6990728.
24
Calculate the remainder when 166374 is divided by 5529.
504
What is the remainder when 64214 is divided by 1162?
304
Calculate the remainder when 50162 is divided by 96.
50
What is the remainder when 69940 is divided by 69089?
851
Calculate the remainder when 1084 is divided by 679.
405
What is the remainder when 101939 is divided by 31873?
6320
Calculate the remainder when 1006671 is divided by 201303.
156
Calculate the remainder when 3906317 is divided by 92.
89
Calculate the remainder when 16154278 is divided by 208.
166
What is the remainder when 5215200 is divided by 2400?
0
What is the remainder when 130140560 is divided by 2364?
2360
What is the remainder when 7878559 is divided by 49?
45
Calculate the remainder when 47002596 is divided by 1338.
1332
What is the remainder when 32986791 is divided by 6597357?
6
Calculate the remainder when 10014339 is divided by 428.
423
Calculate the remainder when 604533 is divided by 358.
229
Calculate the remainder when 181565 is divided by 461.
392
What is the remainder when 1601770 is divided by 106783?
25
Calculate the remainder when 1040698 is divided by 296.
258
What is the remainder when 54558 is divided by 1755?
153
Calculate the remainder when 218283 is divided by 575.
358
Calculate the remainder when 745867 is divided by 195.
187
What is the remainder when 12098963 is divided by 1344318?
101
What is the remainder when 76711 is divided by 75321?
1390
Calculate the remainder when 11961749 is divided by 123317.
0
What is the remainder when 2946925 is divided by 491144?
61
Calculate the remainder when 1740343 is divided by 174.
169
Calculate the remainder when 215370 is divided by 43071.
15
What is the remainder when 6676470 is divided by 541?
530
What is the remainder when 6682562 is divided by 1946?
1944
What is the remainder when 2875521 is divided by 15?
6
Calculate the remainder when 47321392 is divided by 1577378.
52
What is the remainder when 497175 is divided by 107?
53
Calculate the remainder when 244414 is divided by 204.
22
Calculate the remainder when 21766873 is divided by 195.
193
Calculate the remainder when 16563940 is divided by 358.
354
Calculate the remainder when 2041463 is divided by 4608.
119
Calculate the remainder when 2267228 is divided by 755030.
2138
Calculate the remainder when 9806405 is divided by 104323.
43
What is the remainder when 66923 is divided by 9553?
52
What is the remainder when 172403 is divided by 1814?
73
What is the remainder when 249996 is divided by 80?
76
What is the remainder when 1604539 is divided by 140?
139
What is the remainder when 456297 is divided by 1052?
781
What is the remainder when 9047550 is divided by 628?
582
Calculate the remainder when 3975183 is divided by 4247.
4238
Calculate the remainder when 29341259 is divided by 1079.
12
What is the remainder when 16424772 is divided by 1277?
1275
What is the remainder when 290865384 is divided by 3585?
3579
What is the remainder when 10820653 is divided by 10?
3
Calculate the remainder when 59184189 is divided by 16.
13
Calculate the remainder when 42369624 is divided by 9161.
9160
Calculate the remainder when 94372 is divided by 5025.
3922
What is the remainder when 48989373 is divided by 8?
5
What is the remainder when 21999688 is divided by 678?
622
Calculate the remainder when 370800 is divided by 21794.
302
What is the remainder when 18253 is divided by 415?
408
What is the remainder when 6151487 is divided by 617?
614
Calculate the remainder when 1604568 is divided by 16371.
210
What is the remainder when 588077 is divided by 13612?
2761
Calculate the remainder when 3679022 is divided by 1839493.
36
Calculate the remainder when 3555538 is divided by 892.
26
What is the remainder when 11972279 is divided by 45?
29
Calculate the remainder when 1835048 is divided by 203860.
308
Calculate the remainder when 2260607 is divided by 395.
22
What is the remainder when 121319 is divided by 206?
191
Calculate the remainder when 3003311 is divided by 141.
11
What is the remainder when 823722 is divided by 934?
868
Calculate the remainder when 16998060 is divided by 308.
156
What is the remainder when 14497 is divided by 1964?
749
What is the remainder when 2453034 is divided by 3130?
2244
What is the remainder when 859871 is divided by 156?
155
What is the remainder when 99225 is divided by 1928?
897
Calculate the remainder when 4164655 is divided by 123.
121
What is the remainder when 2597754 is divided by 3515?
169
Calculate the remainder when 30968 is divided by 945.
728
Calculate the remainder when 1503388 is divided by 345.
223
What is the remainder when 11303920 is divided by 661?
159
What is the remainder when 79355 is divided by 13215?
65
Calculate the remainder when 13099398 is divided by 21.
18
Calculate | {
"pile_set_name": "DM Mathematics"
} |
232*q**4 - 479*q**4 + 608*q - 13*q**3 - 4 + 225*q**4 + 4 wrt q.
-264*q**2 - 78*q
Suppose -42 = -5*c - 2*c. Suppose c*y + 3*y = 18. What is the third derivative of 147*z + 9*z**y - 147*z - z**2 - 9*z**4 wrt z?
-216*z
Let x(v) = 9*v**2 - 2*v + 2. Let r(g) = 387*g**2 - 11*g + 16. Let m(d) = r(d) - 2*x(d). Differentiate m(z) wrt z.
738*z - 7
Let q = 158 + -156. What is the second derivative of q*c + 22*c**2 - 34*c**2 + 3*c + 49*c**2 wrt c?
74
Suppose -i - i + 1 = -5*c, -2*i - 2*c = -8. Let t be (322/(-21))/((-2)/i). Find the third derivative of 4*p**2 + 3*p**2 + 15*p**2 + t*p**3 wrt p.
138
Find the second derivative of 17922*i**2 - 128*i - 17922*i**2 - 6437*i**3 + 1246*i**3 - 181*i wrt i.
-31146*i
Let w(g) be the second derivative of -16*g**7/21 - g**5/5 - 352*g**3/3 + 2350*g. What is the second derivative of w(j) wrt j?
-640*j**3 - 24*j
Let u(i) = -19*i**3 - 2*i**2 + 2*i. Let o be u(-2). Let r be o/30 - (-2)/(-3). What is the third derivative of 27*b**4 - b**2 + 11*b**2 - 17*b**r wrt b?
240*b
Let o(u) = 3225*u**2 - 3*u + 1976. Let f(i) = 3225*i**2 - 2*i + 1908. Let g(z) = 3*f(z) - 2*o(z). Differentiate g(j) wrt j.
6450*j
Let r(k) = 115*k**2 + 14*k - 17. Let f be r(-8). What is the second derivative of 5*o**2 - 6*o - f + 219*o**2 + 7232 wrt o?
448
What is the third derivative of -32 + 66*t**2 - 5301*t**3 - 29*t**2 + 11 - 6 + 2 wrt t?
-31806
Let l = 39 - 41. Let d be (10 - 9)/((-1)/l*1). What is the third derivative of -9*y**3 - d*y**3 + 53*y**2 - 50*y**2 wrt y?
-66
Let b(t) be the first derivative of 19*t**5 - t**3 - 3*t**2/2 + 185*t - 2008. What is the second derivative of b(y) wrt y?
1140*y**2 - 6
Let v(b) be the first derivative of 789*b**4/4 + b**3/3 + 1581*b**2/2 - 721. What is the third derivative of v(h) wrt h?
4734
Find the second derivative of 1312 - 1312 - 1088*i - 1449*i - 806*i**4 wrt i.
-9672*i**2
Let a(n) = -12385*n**2 + 20*n - 7201. Let q(o) = 6190*o**2 - 8*o + 3600. Let i(l) = -2*a(l) - 5*q(l). Find the first derivative of i(h) wrt h.
-12360*h
Let i = 377 + -359. Suppose 4*g = 3*c + 8, g + 3*g - 24 = -c. What is the second derivative of 14*q - 2*q**g - 48*q + i*q**5 wrt q?
320*q**3
Suppose n + 3*k - 16 = 63, 3*n - 222 = -4*k. Let q be ((-3)/(-5))/(21/n). What is the third derivative of q*d**6 + 19*d**3 - 7*d**2 - 19*d**3 wrt d?
240*d**3
Let o(g) be the second derivative of 2074*g**7/21 - 15*g**4/4 - 13*g**2/2 + 3426*g. Find the third derivative of o(d) wrt d.
248880*d**2
Find the first derivative of 0*f**2 + 20030*f**3 + 0*f**2 - 1165 - 16242*f**3 wrt f.
11364*f**2
Let a(v) = 12*v**3 + 564*v**2 + 2*v - 1549. Let o(i) = -7*i**3 - 282*i**2 - i + 774. Let k(x) = -5*a(x) - 9*o(x). What is the second derivative of k(g) wrt g?
18*g - 564
Let q(v) be the first derivative of -242*v**3 + 905*v - 3058. Differentiate q(k) wrt k.
-1452*k
Differentiate 49 - 4147 - 9993*a + 5355*a - 5675*a with respect to a.
-10313
Let h be 2*(-1)/(-3) - (-70)/3. What is the first derivative of 2 - 8 + 124*i - h + 8 + 5 wrt i?
124
What is the derivative of -1581*i**3 + 5*i**2 - 10*i**2 + 794 - 3*i**2 + 8*i**2 wrt i?
-4743*i**2
Suppose -2*h = h - 747. Let i be 7/(190/(-76) + (6 - 0)). Find the third derivative of 9*q**6 + h*q**3 - 19*q**i - 249*q**3 - q**6 wrt q.
960*q**3
Suppose z + 3*i = 47, 120 = 3*z - 0*i + 2*i. Find the third derivative of 91*x**6 - 79*x**2 + 100*x**6 - 42*x**2 - z*x**2 wrt x.
22920*x**3
Let h(j) = -j + 7. Let m be h(-6). Let k = m + -8. Find the second derivative of -k*x**3 + 7*x + 30 - 8*x - 30 wrt x.
-30*x
Suppose 2*n - 5*k - 19 = 0, 3*n - 16 - 1 = -4*k. What is the first derivative of 56 - n + 62 + 30*x - 144*x wrt x?
-114
Let j(k) = -7640*k**2 + 2180*k. Let i(r) = -12*r**2 + r. Let l(m) = -12*i(m) + j(m). What is the second derivative of l(x) wrt x?
-14992
Find the second derivative of 7 - 162*d**3 - 295*d - 7*d**2 + 589*d**3 + 62*d - 4*d - 1 wrt d.
2562*d - 14
Let b = 181 + -165. Differentiate 6*n + b*n + 47 - 116 - 25*n with respect to n.
-3
Let y be ((-32)/8)/((-4)/10). Find the second derivative of -221 + 221 + 10*v - y*v**2 + 38*v wrt v.
-20
Let r(a) be the second derivative of 1 + 1/2*a**2 + 0*a**5 + 59/30*a**6 + 2/3*a**4 - 53*a + 0*a**3. What is the third derivative of r(x) wrt x?
1416*x
Let g(s) be the third derivative of 118/105*s**7 + 16*s**3 - 90*s**2 + 0*s + 0*s**4 + 0 + 0*s**6 + 0*s**5. What is the derivative of g(w) wrt w?
944*w**3
Let y(i) be the second derivative of 7475*i**4/12 - 5861*i**3/3 - 45*i - 3. Find the second derivative of y(j) wrt j.
14950
Let g be 8/(32/252) - 6. What is the derivative of 92*q - g*q + 49*q + 56*q - 102 wrt q?
140
Let n(t) be the third derivative of 3*t**7/70 - t**5/5 - 1369*t**4/12 + 4372*t**2. What is the second derivative of n(g) wrt g?
108*g**2 - 24
Suppose 3*w = -4*c + 17, 5*c - 2*w = 3 + 1. What is the third derivative of -5*f + 3*f**6 - 12893*f**c + f**6 + f**3 + 12909*f**2 wrt f?
480*f**3 + 6
Let l be 40/12*(-240)/(-25). Differentiate 11*b + 16*b + 50 - 209 + 11*b - l*b with respect to b.
6
Let g(i) be the second derivative of 0*i**5 + 73/6*i**4 - 1/56*i**8 + 0*i**3 + 0*i**6 + 40 + 2/7*i**7 + 2*i + 0*i**2. Find the third derivative of g(s) wrt s.
-120*s**3 + 720*s**2
Let n(m) be the third derivative of -59*m**5/10 - 235*m**4/12 - 534*m**2. What is the second derivative of n(g) wrt g?
-708
Let n(z) be the second derivative of -1/12*z**4 - 6*z + 45/2*z**2 - 3/2*z**3 - 5. What is the first derivative of n(y) wrt y?
-2*y - 9
Let y be (-5)/90*4 + 2/9. Let d(n) be the first derivative of 8/3*n**3 - 11 + 0*n - 3/2*n**4 + y*n**2. Find the third derivative of d(u) wrt u.
-36
Let d be (-32)/112 - (-18)/14. Let w be ((-12)/12)/(d/(-5)). What is the third derivative of 17*m**w + 0 - 101*m**2 + 87*m**2 + 0 wrt m?
1020*m**2
Suppose z - 7 + 74 = 0. Let i = z - -73. Find the third derivative of i*m**4 - 10*m**2 - 1 + 19*m**2 + 1 wrt m.
144*m
Let u be (0/(-69))/((-5)/1). Let i(y) be the first derivative of -4*y**2 - 14 + 0*y - 18/5*y**5 + 0*y**4 + u*y**3. What is the second derivative of i(n) wrt n?
-216*n**2
Suppose -5*y + 3*w + 10 = 0, -4*w + w = -4*y + 5. Suppose -l - 4 = 0, j + l - 19 = y. What is the first derivative of j + t**3 - t**3 + 4*t**3 + 1 wrt t?
12*t**2
Let h(m) = 63*m**2 + 12*m - 1. Let c(b) = -30 + 15 - 14*b - 64*b**2 + 16. Let j(d) = 4*c(d) + 5*h(d). Find the second derivative of j(i) wrt i.
118
Let a be 36*15/10*1/(-3). Let q = 20 + a. Find the first derivative of -16*g**q + 9*g**2 - 5 + 17*g**2 wrt g.
20*g
Let l(b) be the second derivative of -4*b + 12 + 143/6*b**3 - 83/2*b**2. What is the first derivative of l(c) wrt c?
143
Let x(c) = 1925*c**2 - 24*c - 392. Let u(m) = -1926*m**2 + 19*m + 393. Let r(p) = 5*u(p) + 4*x(p). Differentiate r(o) wrt o.
-3860*o - 1
Suppose -3 - 15 = -m. Let o(r) = 212*r - 11445. Let h be o(54). What is the second derivative of -13*x + m*x**3 + 11*x**h - 18*x wrt x?
174*x
Let f(i) = -64*i**2 + 17*i + 193. Let q(u) = -68 + 4 - u - 5*u + 32*u**2 - 11*u**2. Let t(a) = -6*f(a) - 17*q(a). Differentiate t(k) with respect to k.
54*k
Let q be (-4)/(-1) - 6 - -5. Find the second derivative of 20*d**q - 2*d**5 - 2*d + 19*d**3 - 2 - 40*d**3 - 13 wrt d.
-40*d**3 - 6*d
Let y(v) be the second derivative of 0*v**2 - 1/30*v**6 - 19/20*v**5 + 1/2*v**3 - 49*v + 0 + 0*v**4. What is the second derivative of y(j) wrt j?
-12*j**2 - 114*j
What is the derivative of -167 + 594 + 7069720*m**3 - 7068207*m**3 wrt m?
4539*m**2
Suppose 135*o + 34 = 136*o. What is the third derivative of -23*h**4 + 0*h**2 + o*h**4 - 65*h**2 + 32*h**4 wrt h?
1032*h
Let o = 5031/173635 + -2/4961. Let g(m) be the third derivative of 0*m + 0*m**4 + 0*m**5 + 9*m**2 + 0*m**6 + 0 + m**3 + o*m**7. Differentiate g(x) wrt x.
24*x**3
Let b(o) = -2*o**2 + 30*o + 13. Let d be b(15). Find the second derivative of -52*i - 23*i**2 - 13*i - 11*i + d*i wrt i.
-46
Let j(f) be the third derivative of f**8/28 + 8*f**7/21 + f**5/12 - f**4/6 - f**3/3 - 2657*f**2. What is the third derivative of j(p) wrt p?
720*p**2 + 1920*p
Suppose 149 = 12*y - 11*y. What is the derivative of -w**2 - 69*w**2 - 67 + 17 + y wrt w?
-140*w
Let h = 15 + -13. Suppose 2*a - 2*m = 20, -a + 8 + 2 = -h*m. Find the second derivative of -2*x**2 - 13*x - 4*x - a*x**2 + 4*x wrt x.
-24
Let u(k) be the first derivative of 5549*k**6/6 - k**3 + 651*k - | {
"pile_set_name": "DM Mathematics"
} |
ed by 15.
7
What is the remainder when 75 is divided by 22?
9
Calculate the remainder when 2076 is divided by 110.
96
Calculate the remainder when 228 is divided by 54.
12
Calculate the remainder when 128 is divided by 34.
26
What is the remainder when 2700 is divided by 42?
12
Calculate the remainder when 13 is divided by 3.
1
What is the remainder when 831 is divided by 69?
3
Calculate the remainder when 60 is divided by 17.
9
Calculate the remainder when 377 is divided by 62.
5
What is the remainder when 49 is divided by 11?
5
Calculate the remainder when 920 is divided by 31.
21
Calculate the remainder when 13020 is divided by 4337.
9
What is the remainder when 106 is divided by 24?
10
Calculate the remainder when 47821 is divided by 122.
119
What is the remainder when 357 is divided by 180?
177
Calculate the remainder when 496 is divided by 177.
142
Calculate the remainder when 41 is divided by 17.
7
What is the remainder when 97 is divided by 12?
1
Calculate the remainder when 110 is divided by 19.
15
What is the remainder when 761 is divided by 228?
77
What is the remainder when 31 is divided by 12?
7
Calculate the remainder when 615 is divided by 62.
57
Calculate the remainder when 233 is divided by 47.
45
What is the remainder when 269 is divided by 34?
31
Calculate the remainder when 106028 is divided by 21.
20
What is the remainder when 3993 is divided by 74?
71
What is the remainder when 155 is divided by 35?
15
Calculate the remainder when 411 is divided by 147.
117
Calculate the remainder when 302 is divided by 51.
47
Calculate the remainder when 12763 is divided by 26.
23
What is the remainder when 33 is divided by 3?
0
What is the remainder when 399 is divided by 14?
7
What is the remainder when 335 is divided by 8?
7
Calculate the remainder when 342 is divided by 93.
63
What is the remainder when 910 is divided by 114?
112
Calculate the remainder when 316 is divided by 17.
10
Calculate the remainder when 705 is divided by 179.
168
Calculate the remainder when 335 is divided by 33.
5
Calculate the remainder when 1953 is divided by 12.
9
What is the remainder when 631 is divided by 156?
7
What is the remainder when 774 is divided by 251?
21
Calculate the remainder when 28609 is divided by 23.
20
What is the remainder when 245 is divided by 121?
3
What is the remainder when 277 is divided by 40?
37
What is the remainder when 5346 is divided by 28?
26
Calculate the remainder when 259 is divided by 36.
7
What is the remainder when 408 is divided by 17?
0
Calculate the remainder when 3207 is divided by 40.
7
Calculate the remainder when 2460 is divided by 8.
4
What is the remainder when 119 is divided by 5?
4
What is the remainder when 274 is divided by 55?
54
Calculate the remainder when 266 is divided by 128.
10
What is the remainder when 32 is divided by 9?
5
What is the remainder when 10 is divided by 3?
1
Calculate the remainder when 209 is divided by 10.
9
Calculate the remainder when 8500 is divided by 27.
22
Calculate the remainder when 517 is divided by 11.
0
Calculate the remainder when 7174 is divided by 13.
11
Calculate the remainder when 417 is divided by 14.
11
Calculate the remainder when 135 is divided by 80.
55
Calculate the remainder when 417 is divided by 106.
99
What is the remainder when 5151 is divided by 1029?
6
What is the remainder when 2437 is divided by 18?
7
Calculate the remainder when 364 is divided by 187.
177
What is the remainder when 699 is divided by 14?
13
What is the remainder when 88 is divided by 74?
14
What is the remainder when 1328 is divided by 19?
17
Calculate the remainder when 181 is divided by 91.
90
What is the remainder when 1021 is divided by 159?
67
Calculate the remainder when 25 is divided by 11.
3
What is the remainder when 82 is divided by 12?
10
What is the remainder when 106 is divided by 30?
16
What is the remainder when 713 is divided by 13?
11
What is the remainder when 107 is divided by 39?
29
What is the remainder when 1929 is divided by 129?
123
What is the remainder when 369 is divided by 3?
0
What is the remainder when 21211 is divided by 9?
7
Calculate the remainder when 146 is divided by 30.
26
Calculate the remainder when 353 is divided by 140.
73
Calculate the remainder when 147 is divided by 66.
15
What is the remainder when 420 is divided by 112?
84
What is the remainder when 9662 is divided by 3217?
11
What is the remainder when 297 is divided by 80?
57
What is the remainder when 73 is divided by 11?
7
What is the remainder when 55 is divided by 18?
1
Calculate the remainder when 2389 is divided by 22.
13
Calculate the remainder when 211 is divided by 45.
31
What is the remainder when 24 is divided by 17?
7
What is the remainder when 4445 is divided by 28?
21
What is the remainder when 802 is divided by 23?
20
Calculate the remainder when 45262 is divided by 368.
366
Calculate the remainder when 980 is divided by 99.
89
Calculate the remainder when 104 is divided by 30.
14
What is the remainder when 12131 is divided by 296?
291
Calculate the remainder when 2218 is divided by 74.
72
What is the remainder when 701 is divided by 22?
19
What is the remainder when 567 is divided by 19?
16
Calculate the remainder when 914 is divided by 304.
2
Calculate the remainder when 122 is divided by 16.
10
What is the remainder when 121 is divided by 17?
2
Calculate the remainder when 35 is divided by 18.
17
What is the remainder when 2222 is divided by 57?
56
Calculate the remainder when 47 is divided by 21.
5
Calculate the remainder when 301 is divided by 86.
43
Calculate the remainder when 168 is divided by 3.
0
What is the remainder when 863 is divided by 32?
31
Calculate the remainder when 96 is divided by 12.
0
What is the remainder when 534 is divided by 38?
2
Calculate the remainder when 591 is divided by 20.
11
What is the remainder when 1448 is divided by 400?
248
Calculate the remainder when 129 is divided by 69.
60
Calculate the remainder when 849 is divided by 208.
17
What is the remainder when 561 is divided by 138?
9
What is the remainder when 100 is divided by 31?
7
Calculate the remainder when 358 is divided by 45.
43
Calculate the remainder when 872 is divided by 96.
8
Calculate the remainder when 1433 is divided by 111.
101
Calculate the remainder when 332 is divided by 24.
20
Calculate the remainder when 122 is divided by 2.
0
What is the remainder when 10134 is divided by 74?
70
What is the remainder when 2136 is divided by 23?
20
What is the remainder when 455 is divided by 155?
145
Calculate the remainder when 83 is divided by 12.
11
Calculate the remainder when 7966 is divided by 166.
164
Calculate the remainder when 7625 is divided by 82.
81
What is the remainder when 251 is divided by 37?
29
What is the remainder when 408 is divided by 117?
57
What is the remainder when 12195 is divided by 100?
95
What is the remainder when 1125 is divided by 6?
3
What is the remainder when 136 is divided by 55?
26
What is the remainder when 364 is divided by 178?
8
Calculate the remainder when 1406 is divided by 100.
6
Calculate the remainder when 3655 is divided by 30.
25
Calculate the remainder when 904 is divided by 6.
4
Calculate the remainder when 501 is divided by 147.
60
What is the remainder when 235 is divided by 79?
77
Calculate the remainder when 148 is divided by 22.
16
Calculate the remainder when 2496 is divided by 100.
96
Calculate the remainder when 95 is divided by 89.
6
What is the remainder when 315 is divided by 14?
7
What is the remainder when 658 is divided by 132?
130
Calculate the remainder when 18689 is divided by 445.
444
Calculate the remainder when 983 is divided by 82.
81
What is the remainder when 27687 is divided by 65?
62
Calculate the remainder when 100 is divided by 26.
22
What is the remainder when 2608 is divided by 868?
4
Calculate the remainder when 779 is divided by 101.
72
Calculate the remainder when 543 is divided by 8.
7
Calculate the remainder when 3260 is divided by 51.
47
What is the remainder when 1635 is divided by 126?
123
What is the remainder when 218 is divided by 40?
18
Calculate the remainder when 1392 is divided by 73.
5
Calculate the remainder when 4 is divided by 4.
0
Calculate the remainder when 147 is divi | {
"pile_set_name": "DM Mathematics"
} |
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