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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? 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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 Is 1035468701 composite? 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 Is 733055399 composite? 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 Is 17335013 a composite number? 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 Is 49948243 composite? 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 Is 1435915279 a composite number? False Is 4583998231 prime? False Is 4037245651 composite? False Is 32847179173 a composite number? True Is 10333140539 a composite number? True Is 3776527567 prime? False Is 62275957 composite? True Is 13938567653 a composite number? False Is 7938445519 composite? False Is 531881963 composite? True Is 1152898013 a composite number? False Is 2062466311 a composite number? True Is 49941352057 a prime number? True Is 17058913 a composite number? False Is 70020762257 prime? False Is 3327683879 prime? False Is 2688023251 a prime number? True Is 14306681867 a prime number? False Is 1366196063 a composite number? False Is 279702691 a prime number? True Is 593722751 a composite number? False Is 2821307521 a prime number? False Is 1040533051 prime? True Is 35452836751 a composite number? True Is 28562257523 composite? False Is 98789631649 a composite number? False Is 1066685547 a composite number? True Is 1889490997 composite? False Is 2152845443 composite? True Is 7731802157 a composite number? False Is 8502660821 a prime number? False Is 48582526769 a composite number? True Is 404669867 prime? False Is 2243940187 a prime number? True Is 51462460703 composite? True Is 148872993 composite? 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 Is 478806071839 prime? 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 Is 148720721 prime? 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" }
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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? 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{ "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 What comes next: -17626, -35251, -52876? -70501 What is next in 1435, 1978, 2519, 3058, 3595, 4130? 4663 What is the next term in 854, 1891, 2928, 3965? 5002 What is the next term in 466, 380, 296, 214? 134 What is the next term in 54, 595, 1136? 1677 What is the next term in 24, 227, 776, 1845, 3608? 6239 What is next in 13125, 13127, 13131, 13137, 13145? 13155 What is next in 6369, 12686, 19001, 25314, 31625, 37934? 44241 What is next in -12527, -12520, -12513, -12506, -12499, -12492? -12485 What comes next: 4003, 16009, 36021, 64039? 100063 What is the next term in -169147, -169153, -169171, -169207, -169267? -169357 What is next in 134431, 268873, 403315, 537757, 672199, 806641? 941083 What is next in 13, 94, 325, 784, 1549, 2698, 4309? 6460 What comes next: -45354, -90702, -136050? -181398 What is next in 1192, 2020, 2848, 3676, 4504? 5332 What is the next term in -163, -306, -425, -520, -591? -638 What is the next term in 310, 201, 90, -23, -138, -255? -374 What comes next: -693, -1446, -2199, -2952? 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42529 What is next in 17999, 36297, 54597, 72899, 91203, 109509? 127817 What is the next term in -324, -382, -438, -492, -544? -594 What comes next: -199, -234, -289, -370, -483, -634, -829? -1074 What is next in -2017, -4010, -6007, -8008, -10013, -12022? -14035 What is the next term in 1028, 8410, 28502, 67658, 132232? 228578 What is next in -1114, -1155, -1196, -1237, -1278? -1319 What is next in 10558, 21581, 32606, 43633, 54662? 65693 What is next in 330676, 330678, 330682, 330688? 330696 What is the next term in -104, -123, -168, -251, -384, -579, -848, -1203? -1656 What is the next term in 426973, 853945, 1280917, 1707889, 2134861, 2561833? 2988805 What is next in 931873, 931878, 931885, 931894? 931905 What comes next: -289145, -289146, -289147, -289148, -289149? -289150 What is the next term in -111, -228, -329, -408, -459, -476, -453? -384 What is the next term in -4377, -8747, -13117, -17487? -21857 What is the next term in -529, -604, -811, -1216, -1885, -2884, -4279? -6136 What comes next: 2548, 10218, 23010, 40924, 63960? 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1073 What is next in -1750, 1146, 5974, 12734, 21426, 32050, 44606? 59094 What is the next term in 77, 377, 661, 923, 1157, 1357, 1517? 1631 What is the next term in 3060, 12178, 27376, 48654? 76012 What comes next: -481, -3600, -12037, -28450, -55497, -95836, -152125, -227022? -323185 What is the next term in -7647, -7845, -8043? -8241 What is next in 16168, 64670, 145506, 258676, 404180, 582018? 792190 What comes next: 87, 264, 537, 882, 1275, 1692, 2109, 2502? 2847 What comes next: 213, 709, 1489, 2553, 3901, 5533? 7449 What is next in 114, 874, 2940, 6966, 13606, 23514, 37344, 55750? 79386 What is the next term in -11, -123, -349, -689, -1143, -1711? -2393 What is the next term in 1522, 1679, 1948, 2329, 2822, 3427, 4144? 4973 What is next in -27, -37, -39, -33? -19 What is the next term in -55, -39, -35, -49, -87, -155, -259? -405 What is the next term in -873, -1362, -1851, -2340, -2829, -3318? -3807 What comes next: 13150, 26253, 39356? 52459 What comes next: 1175, 2022, 2881, 3758, 4659, 5590, 6557, 7566? 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6027 What is next in -1058680, -1058677, -1058672, -1058665, -1058656? -1058645 What is next in 340, 386, 432? 478 What comes next: -193, -248, -365, -574, -905, -1388? -2053 What is next in 283, 480, 691, 922, 1179, 1468, 1795, 2166? 2587 What is next in -1714, -2249, -2780, -3307, -3830, -4349, -4864? -5375 What comes next: -335, -649, -965, -1283? -1603 What is next in -21725, -21720, -21715, -21710, -21705? -21700 What is the next term in -179, 29, 373, 847, 1445? 2161 What is the next term in 51, 273, 867, 2019, 3915? 6741 What is the next term in -155509, -155530, -155563, -155608? -155665 What is next in 227, 417, 525, 545, 471, 297, 17, -375? -885 What is the next term in -684, -1285, -1754, -2025, -2032, -1709? -990 What is next in 1862, 3705, 5548? 7391 What is next in 51935, 103871, 155807? 207743 What is next in 6181, 12307, 18447, 24607, 30793, 37011, 43267, 49567? 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" }