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3*w**2 - 5*w**2 - 3*w**2. w**2 Collect the terms in -8*w**2 - w**2 - 1 + 4*w**2 + 0. -5*w**2 - 1 Collect the terms in 10*o + 96*o + 113*o. 219*o Collect the terms in 882*j + 877*j - 1758*j. j Collect the terms in 49 + 3*d**2 + 50 - 107. 3*d**2 - 8 Collect the terms in 159*j - 16 + 73 - 161*j. -2*j + 57 Collect the terms in 8*d + 13*d + 5*d. 26*d Collect the terms in -16*n**2 - 19*n**2 - 14*n**2 + 39*n**2. -10*n**2 Collect the terms in -m + 7*m - 4*m. 2*m Collect the terms in 2*x**2 - 4*x**2 - 7 - 2 + 32. -2*x**2 + 23 Collect the terms in 21*s + 13*s - 25*s. 9*s Collect the terms in 3303 - 3303 - 7*z. -7*z Collect the terms in 3*g**3 + 62*g**3 + 2*g**3. 67*g**3 Collect the terms in -33 - 23 + 16*c**2 - 26 + 82. 16*c**2 Collect the terms in -2*q**3 - q**3 - 2*q**3 + 8*q**3. 3*q**3 Collect the terms in 20*o**2 - 7*o**2 + 12*o**2. 25*o**2 Collect the terms in -8*h**2 + 21*h**2 + h**2 + 0*h**2. 14*h**2 Collect the terms in 10*i**2 + 14*i**2 + 0*i**2 - 7*i**2. 17*i**2 Collect the terms in -55*k + 170*k - 61*k - 53*k. k Collect the terms in -2584*c - 2*c**2 + 2584*c. -2*c**2 Collect the terms in 12*n**2 - 9*n**2 - 28*n**2. -25*n**2 Collect the terms in -2*p**3 - 43*p**2 - 2*p**3 + 43*p**2 + 6*p**3. 2*p**3 Collect the terms in 11*g**3 - 30*g**3 + 17*g**3. -2*g**3 Collect the terms in -761031 - a + 2*a + 761031. a Collect the terms in -4*o**3 + 50 - 3*o**3 - 50 + 6*o**3. -o**3 Collect the terms in -6*z - 21*z - 2*z. -29*z Collect the terms in -3444*u + 26*u**3 + 3444*u. 26*u**3 Collect the terms in 0*v**3 - 8*v**3 - 7*v**3 + 16*v**3. v**3 Collect the terms in -7*u - 1241*u**2 + 7*u. -1241*u**2 Collect the terms in -k**2 - 4 + 3 + 1. -k**2 Collect the terms in 9*f**2 - 3*f**3 + 6*f**2 + 0*f**3. -3*f**3 + 15*f**2 Collect the terms in 2275 - 2275 + 2*s**2. 2*s**2 Collect the terms in 19*i**2 + 24*i**2 + 22*i**2 - 60*i**2. 5*i**2 Collect the terms in -2245 + 5*m + 2245. 5*m Collect the terms in -335*c**2 + 668*c**2 - 331*c**2. 2*c**2 Collect the terms in d - 3*d - 10*d + 2*d - 6*d. -16*d Collect the terms in -98*m**3 - 95*m**2 + 95*m**2. -98*m**3 Collect the terms in w - w - 71*w**2 + 73*w**2 - 89. 2*w**2 - 89 Collect the terms in -14*r**3 + 8*r**3 + 7*r**3. r**3 Collect the terms in -28*r**2 - 4*r**3 + 28*r**2 + r**3. -3*r**3 Collect the terms in 9*s - 24*s + 11*s. -4*s Collect the terms in 2*n**2 - 107*n + 107*n + 0*n**2 + 171*n**3. 171*n**3 + 2*n**2 Collect the terms in 7*w**3 - 8*w**3 - 2*w**3. -3*w**3 Collect the terms in -255 + 16*l + 255. 16*l Collect the terms in 11*y**2 - y + 6*y - 4*y**2. 7*y**2 + 5*y Collect the terms in -o - 2*o + 46 - 87 - 63. -3*o - 104 Collect the terms in 3*t**3 + 9*t**3 - 16*t**3. -4*t**3 Collect the terms in -11*t**3 - 3*t**3 + 27*t**3 - 4*t**3 - 3*t**3. 6*t**3 Collect the terms in -70*i - 70*i - 59*i + 196*i. -3*i Collect the terms in -2*l + 31*l + 2*l**2 - 9*l - 20*l. 2*l**2 Collect the terms in -x**2 - 20 + 20. -x**2 Collect the terms in -21*u + 57*u - 27*u - 11*u. -2*u Collect the terms in 21*q**3 + 0*q - 2*q**3 + 0*q. 19*q**3 Collect the terms in -71*n + 23*n + 18*n + 32*n. 2*n Collect the terms in 1407*o**3 - 1410*o**3 - 10*o + 10*o. -3*o**3 Collect the terms in 2 + m**3 - 1984*m + 1984*m - 2. m**3 Collect the terms in 104 - 104 + 4*z**2. 4*z**2 Collect the terms in 4 - 805*u - 4 + 813*u. 8*u Collect the terms in -21*l - 5*l**2 + 10 - 10 + 0*l. -5*l**2 - 21*l Collect the terms in -1 + 1 - 1042861*g**2 + 1042858*g**2. -3*g**2 Collect the terms in 5*o**2 - 5*o**3 - 10*o**2 + 7*o**3 + 2*o**3. 4*o**3 - 5*o**2 Collect the terms in -87*g**3 - 66*g**3 - 5*g + 148*g**3 + 5*g. -5*g**3 Collect the terms in -35*x**3 + 12 - 12. -35*x**3 Collect the terms in -3*a + 2*a - 8*a + 8*a. -a Collect the terms in 5*z - 22 + 13 + 9. 5*z Collect the terms in -2*n + 387*n**2 - 383*n**2 + 2*n. 4*n**2 Collect the terms in 36425 + 3*n**2 - 36425. 3*n**2 Collect the terms in 246*g + 244*g + g**2 - 490*g. g**2 Collect the terms in -14*r**3 + 7*r**3 + 0*r**3. -7*r**3 Collect the terms in -38*i**3 + 18*i**3 + 19*i**3. -i**3 Collect the terms in -16*h - 12*h - 49*h + 13*h. -64*h Collect the terms in -7*o - 8*o - 12*o + 32*o. 5*o Collect the terms in -196*t**2 + 90*t**2 + 93*t**2. -13*t**2 Collect the terms in -2*u**3 + 7*u**3 + 16*u**3 + 10*u**3. 31*u**3 Collect the terms in -2*s**2 - 45*s**3 + 2*s**2. -45*s**3 Collect the terms in 313 - 9*b**3 - 313. -9*b**3 Collect the terms in 10 - 10 - 46*f**3. -46*f**3 Collect the terms in -16*i - 7 + 7. -16*i Collect the terms in -89*o - 8 + 47*o + 39*o + 8. -3*o Collect the terms in 16*s**2 + 26*s**2 - 37*s**2. 5*s**2 Collect the terms in 17*i - 43*i + 19*i + 11*i. 4*i Collect the terms in 0*f**2 - 7 + 9*f + 3*f**2 - 9*f. 3*f**2 - 7 Collect the terms in 110 + 108 + 24*d**3 - 218 + d**3. 25*d**3 Collect the terms in -2*p**2 - 4*p**2 - 2 - 3. -6*p**2 - 5 Collect the terms in -25*r**2 - 21*r**2 + 42*r**2. -4*r**2 Collect the terms in -285*f + 141*f + 151*f. 7*f Collect the terms in 112*d**2 + 116*d**2 + 3*d**3 + 21*d**3 - 228*d**2. 24*d**3 Collect the terms in -3*k**3 - 8*k**3 - 2*k + 3*k**3 - 4*k**3. -12*k**3 - 2*k Collect the terms in -6 - 84*s**2 + 6. -84*s**2 Collect the terms in -49*d + 16*d + 79*d. 46*d Collect the terms in -10*p - 1 + 24*p + 1. 14*p Collect the terms in 0*w + 4*w - w - 5*w. -2*w Collect the terms in 4*f**3 + 959*f**2 - 959*f**2 - 8*f**3. -4*f**3 Collect the terms in -x**2 + 192 - 401 + 209. -x**2 Collect the terms in -343563 + a**3 + 343563. a**3 Collect the terms in 6*c + 24*c - 27*c - c. 2*c Collect the terms in -t + 2*t - t - 10*t**3. -10*t**3 Collect the terms in -5*p**2 + 19*p - 2*p - 2*p - 10*p. -5*p**2 + 5*p Collect the terms in -2*b**2 + 4*b**2 + 3*b**2 + 12*b**3. 12*b**3 + 5*b**2 Collect the terms in -18*k**2 - 2*k**2 + 2*k**2. -18*k**2 Collect the terms in 13*x**3 - 2*x**3 - 17*x**3 + 7*x**3. x**3 Collect the terms in -t + t + t - 2*t. -t Collect the terms in 11*y - 10*y - 3*y + 8*y. 6*y Collect the terms in -760*f**3 + 383*f**3 + 382*f**3. 5*f**3 Collect the terms in 67*d**2 - 1 - 84*d**2 + 1. -17*d**2 Collect the terms in 77*g - 31*g**3 - 77*g. -31*g**3 Collect the terms in -5779*d + 6*d**3 + 5779*d. 6*d**3 Collect the terms in 3*i**2 + 5*i**2 + i**2 - i**2. 8*i**2 Collect the terms in -5*f - 114 + 3*f + 114 + 0*f. -2*f Collect the terms in -29*w**2 + 29*w**2 + 2*w**3. 2*w**3 Collect the terms in 22*m + 21*m + 22*m - 92*m + 25*m. -2*m Collect the terms in -14*w + 16*w - w. w Collect the terms in 3 + 71*o - 78*o - 3. -7*o Collect the terms in 57*x + 34*x + 37*x - 135*x + 38*x. 31*x Collect the terms in -3*n**2 + 82*n - 2*n**2 - 82*n. -5*n**2 Collect the terms in 1076*w + 8 - 8 - 1075*w. w Collect the terms in 5*c + 20*c + 4*c - 8*c + 9*c. 30*c Collect the terms in 1244*c - 1244*c - 11*c**2. -11*c**2 Collect the terms in 1221 - 3*x**2 - 1221. -3*x**2 Collect the terms in -87*i**3 + 316*i**3 + 239*i**3. 468*i**3 Collect the terms in 6*h**2 - 13*h**2 + 8*h**2. h**2 Collect the terms in 4*m**2 + 193*m**3 + 11*m**2 - 14*m**2. 193*m**3 + m**2 Collect the terms in 9*i**3 - 28*i**3 + 12*i**3 + 6*i**3. -i**3 Collect the terms in 233*d**2 - 34*d**2 + 76*d**2 + 59*d**2. 334*d**2 Collect the terms in -q**2 + 4444 - 4444. -q**2 Collect the terms in 7*x**2 + 683*x - 1365*x + 685*x. 7*x**2 + 3*x Collect the terms in 25*m**3 + 3*m**3 - 30*m**3. -2*m**3 Collect the terms in -6*q**2 + 61*q - 3*q**2 - 61*q. -9*q**2 Collect the terms in -82 - 8*p**2 - 81 + 163. -8*p**2 Collect the terms in 7*o - 22*o + 5*o. -10*o Collect the terms in -4 + 3 + 1 - 59*j. -59*j Collect the terms in 345 - 175 - 170 + 2*n. 2*n Collect the terms in 14*c + c + 52*c. 67*c Collect the terms in 6313*s**2 - 3158*s**2 - 3153*s**2. 2*s**2 Collect the terms in -17*r - 19*r - 4*r. -40*r Collect the terms in -4 - 12*a**2 - 17*a**2 + 4 - a**3. -a**3 - 29*a**2 Collect the terms in 2*r**3 - 868 + 868. 2*r**3 Collect the terms in 47*u**3 - 124*u**3 + 80*u**3. 3*u**3 Collect the terms in 722908*l**2 - 5*l**3 + 6*l**3 - 722908*l**2. l**3 Collect the terms in 10*u**3 - 10*u**3 - u**3. -u**3 Collect the terms in 38*v**3 - 75*v**3 + 39*v**3. 2*v**3 Collect the terms in 3*z**2 - 3 - 4 - 4*z**2. -z**2 - 7 Collect the terms in 2*a - 6*a + 3*a - 4*a. -5*a Collect the terms in -151 + 51 + 100 + 2*f. 2*f Collect the terms in -40*x**2 - 2
{ "pile_set_name": "DM Mathematics" }
ement from {u: 9, f: 2, x: 6}. 1/238 Two letters picked without replacement from pxpxspp. What is prob of sequence xx? 1/21 Two letters picked without replacement from xsdrstxpr. Give prob of sequence tr. 1/36 Four letters picked without replacement from {f: 10, l: 4, h: 2}. What is prob of sequence lfhh? 1/546 Three letters picked without replacement from suxxgxcggxu. What is prob of sequence ugu? 1/165 What is prob of sequence uue when three letters picked without replacement from {e: 2, u: 6}? 5/28 Four letters picked without replacement from rssrrsrre. What is prob of sequence srre? 5/252 Two letters picked without replacement from fkbfhokkffrffko. What is prob of sequence kr? 2/105 What is prob of sequence oo when two letters picked without replacement from oooogooooogoooooooo? 136/171 Three letters picked without replacement from {o: 5, v: 5, c: 1, r: 1, a: 7}. Give prob of sequence oac. 35/5814 Three letters picked without replacement from {l: 1, s: 5, k: 2, c: 1, i: 1}. What is prob of sequence lci? 1/720 Two letters picked without replacement from {f: 6}. What is prob of sequence ff? 1 Calculate prob of sequence afj when three letters picked without replacement from {a: 3, j: 1, f: 5, t: 4}. 5/572 Three letters picked without replacement from {s: 5, w: 1, c: 5, o: 3, m: 2}. Give prob of sequence ooc. 1/112 Three letters picked without replacement from lvavaaada. Give prob of sequence avv. 5/252 Two letters picked without replacement from {h: 7, u: 10, e: 2, z: 1}. Give prob of sequence hu. 7/38 What is prob of sequence kz when two letters picked without replacement from yffzkttykyfytttt? 1/120 Two letters picked without replacement from {g: 1, l: 6, k: 1, j: 3, v: 4, n: 1}. Give prob of sequence ll. 1/8 What is prob of sequence gh when two letters picked without replacement from {h: 1, i: 1, v: 1, g: 2}? 1/10 Two letters picked without replacement from {f: 1, v: 1, b: 1, x: 1, k: 2, t: 1}. Give prob of sequence xt. 1/42 Two letters picked without replacement from yycctdvcc. What is prob of sequence vt? 1/72 Four letters picked without replacement from vvnqnvnvvnnnnnvnnv. What is prob of sequence vvvv? 7/612 Two letters picked without replacement from {y: 4}. What is prob of sequence yy? 1 Four letters picked without replacement from {p: 2, z: 10}. What is prob of sequence zppz? 1/66 Three letters picked without replacement from abhoqhhqohbg. What is prob of sequence oha? 1/165 Two letters picked without replacement from {s: 1, w: 2, y: 1, x: 3, e: 4}. Give prob of sequence ex. 6/55 Calculate prob of sequence cb when two letters picked without replacement from {p: 1, n: 1, b: 2, f: 1, k: 7, c: 2}. 2/91 What is prob of sequence br when two letters picked without replacement from bbbr? 1/4 Calculate prob of sequence ap when two letters picked without replacement from {a: 1, e: 4, w: 2, o: 2, p: 3, s: 6}. 1/102 Calculate prob of sequence lw when two letters picked without replacement from {z: 6, l: 1, q: 1, w: 11}. 11/342 What is prob of sequence llsa when four letters picked without replacement from aalmwsml? 1/420 Calculate prob of sequence ooz when three letters picked without replacement from {o: 19, z: 1}. 1/20 What is prob of sequence zjje when four letters picked without replacement from jzjyyyywjje? 1/660 Three letters picked without replacement from krkkdrrkdkkjdk. What is prob of sequence jdk? 1/104 Three letters picked without replacement from {z: 4, k: 2}. Give prob of sequence zzk. 1/5 Calculate prob of sequence qikv when four letters picked without replacement from {g: 4, k: 2, i: 2, q: 1, v: 3}. 1/990 What is prob of sequence msc when three letters picked without replacement from {c: 2, p: 1, s: 1, m: 5, z: 1}? 1/72 Calculate prob of sequence ujub when four letters picked without replacement from {u: 2, j: 1, b: 1}. 1/12 Four letters picked without replacement from {i: 9, g: 10}. What is prob of sequence iiig? 35/646 Four letters picked without replacement from wlwlwwwlwllll. Give prob of sequence wllw. 21/286 Three letters picked without replacement from sssnnnsnsnnnsnssnssn. What is prob of sequence sns? 5/38 Two letters picked without replacement from qoqqqqqqqqoqqo. Give prob of sequence qo. 33/182 Four letters picked without replacement from sdftstttsfddrddrdt. What is prob of sequence ddsr? 1/408 Calculate prob of sequence tzm when three letters picked without replacement from {m: 7, d: 6, t: 3, z: 3}. 7/646 What is prob of sequence ppvp when four letters picked without replacement from jpjjjigvpjjjgjipjij? 1/15504 Two letters picked without replacement from znaanzannnaz. Give prob of sequence az. 1/11 Three letters picked without replacement from {y: 1, v: 1, h: 1}. Give prob of sequence yyv. 0 Four letters picked without replacement from kppfkfkf. What is prob of sequence fkpp? 3/280 What is prob of sequence fkff when four letters picked without replacement from {f: 10, k: 2}? 4/33 What is prob of sequence abab when four letters picked without replacement from {a: 8, b: 5}? 28/429 Three letters picked without replacement from {t: 4, c: 1, d: 5, y: 7, b: 1, u: 1}. What is prob of sequence dub? 5/5814 Two letters picked without replacement from {q: 4, a: 4, c: 7}. Give prob of sequence cc. 1/5 What is prob of sequence tztt when four letters picked without replacement from tizttoto? 1/70 Four letters picked without replacement from {j: 12, o: 6}. What is prob of sequence ojjo? 11/204 Two letters picked without replacement from ijmpjijlppicppjlpp. What is prob of sequence pi? 7/102 What is prob of sequence bbvv when four letters picked without replacement from bbbvv? 1/10 What is prob of sequence ybhh when four letters picked without replacement from bhphyp? 1/180 What is prob of sequence ua when two letters picked without replacement from {t: 1, z: 1, y: 1, a: 1, u: 1}? 1/20 Calculate prob of sequence vvz when three letters picked without replacement from {v: 9, z: 11}. 11/95 Four letters picked without replacement from ppprwwpqpw. What is prob of sequence wpwr? 1/168 Three letters picked without replacement from ppccpcccpppcpcccppc. What is prob of sequence ppc? 40/323 Three letters picked without replacement from {x: 6, w: 8, h: 1, k: 1}. What is prob of sequence whw? 1/60 What is prob of sequence illl when four letters picked without replacement from {i: 1, o: 5, l: 3, z: 1}? 1/840 Calculate prob of sequence ui when two letters picked without replacement from uusuusususssui. 1/26 What is prob of sequence llb when three letters picked without replacement from {l: 3, b: 1}? 1/4 Three letters picked without replacement from {a: 1, k: 3, h: 4, y: 1, i: 4}. What is prob of sequence aak? 0 What is prob of sequence hg when two letters picked without replacement from {h: 2, g: 11}? 11/78 What is prob of sequence jjjj when four letters picked without replacement from jjjjj? 1 Calculate prob of sequence yhyy when four letters picked without replacement from {y: 4, n: 6, h: 3}. 3/715 Three letters picked without replacement from rbbkbkbbkbrbbrrb. Give prob of sequence kkk. 1/560 Two letters picked without replacement from {l: 2, y: 6, t: 4, z: 4, h: 1}. Give prob of sequence yz. 3/34 What is prob of sequence ub when two letters picked without replacement from buububuuuu? 7/30 Two letters picked without replacement from {s: 6, o: 13}. What is prob of sequence oo? 26/57 Calculate prob of sequence dep when three letters picked without replacement from mvmpmmpvmembedv. 2/1365 Three letters picked without replacement from eeeee. Give prob of sequence eee. 1 What is prob of sequence qeq when three letters picked without replacement from {e: 10, q: 2}? 1/66 Four letters picked without replacement from vggggvgg. What is prob of sequence gggv? 1/7 Two letters picked without replacement from rryr. What is prob of sequence yr? 1/4 Three letters picked without replacement from {t: 10, w: 2, x: 1, s: 1, v: 2}. Give prob of sequence vww. 1/840 Calculate prob of sequence eqq when three letters picked without replacement from {q: 2, e: 1, b: 1, r: 1, s: 4}. 1/252 Four letters picked without replacement from {l: 1, b: 1, v: 5, o: 5, f: 5, u: 2}. Give prob of sequence vufl. 25/46512 Two letters picked without replacement from pfkkooffkkkfk
{ "pile_set_name": "DM Mathematics" }
11:59 AM How many minutes are there between 2:34 AM and 8:01 AM? 327 How many minutes are there between 9:27 PM and 11:09 PM? 102 What is 703 minutes after 5:59 AM? 5:42 PM How many minutes are there between 1:30 PM and 3:20 PM? 110 How many minutes are there between 6:43 AM and 5:45 PM? 662 What is 184 minutes before 1:41 PM? 10:37 AM How many minutes are there between 7:46 PM and 2:40 AM? 414 What is 231 minutes after 7:07 AM? 10:58 AM How many minutes are there between 4:08 PM and 1:50 AM? 582 What is 323 minutes before 2:52 AM? 9:29 PM How many minutes are there between 6:05 AM and 7:07 AM? 62 How many minutes are there between 8:18 PM and 10:56 PM? 158 How many minutes are there between 1:13 PM and 6:34 PM? 321 What is 12 minutes after 12:14 AM? 12:26 AM What is 473 minutes after 9:17 AM? 5:10 PM How many minutes are there between 5:42 AM and 7:10 AM? 88 How many minutes are there between 7:58 PM and 8:52 PM? 54 How many minutes are there between 9:17 PM and 3:02 AM? 345 What is 324 minutes before 5:35 AM? 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96 What is 255 minutes before 7:52 PM? 3:37 PM What is 596 minutes before 10:03 PM? 12:07 PM How many minutes are there between 11:28 AM and 2:59 PM? 211 What is 279 minutes before 2:02 AM? 9:23 PM What is 693 minutes after 6:01 AM? 5:34 PM How many minutes are there between 2:14 PM and 6:53 PM? 279 What is 184 minutes after 12:14 AM? 3:18 AM How many minutes are there between 12:09 AM and 1:12 AM? 63 How many minutes are there between 3:54 AM and 6:22 AM? 148 What is 39 minutes after 10:33 PM? 11:12 PM What is 597 minutes before 8:37 AM? 10:40 PM How many minutes are there between 7:28 PM and 8:24 PM? 56 What is 559 minutes before 4:52 PM? 7:33 AM How many minutes are there between 5:43 AM and 5:03 PM? 680 What is 49 minutes after 3:43 PM? 4:32 PM How many minutes are there between 8:22 PM and 8:33 PM? 11 What is 252 minutes after 3:09 PM? 7:21 PM How many minutes are there between 2:33 AM and 1:16 PM? 643 How many minutes are there between 10:43 PM and 8:40 AM? 597 What is 552 minutes before 1:53 AM? 4:41 PM How many minutes are there between 4:45 PM and 11:10 PM? 385 How many minutes are there between 2:42 PM and 11:49 PM? 547 How many minutes are there between 6:15 AM and 5:17 PM? 662 How many minutes are there between 1:12 AM and 10:29 AM? 557 How many minutes are there between 1:01 PM and 10:53 PM? 592 How many minutes are there between 2:51 PM and 1:43 AM? 652 How many minutes are there between 6:36 PM and 9:29 PM? 173 What is 265 minutes before 2:28 AM? 10:03 PM What is 249 minutes before 1:15 AM? 9:06 PM How many minutes are there between 2:21 PM and 1:46 AM? 685 How many minutes are there between 3:35 AM and 10:59 AM? 444 What is 641 minutes before 8:35 AM? 9:54 PM What is 371 minutes before 10:10 PM? 3:59 PM How many minutes are there between 9:24 PM and 10:52 PM? 88 What is 556 minutes after 12:00 PM? 9:16 PM How many minutes are there between 4:20 PM and 7:24 PM? 184 What is 700 minutes after 9:23 AM? 9:03 PM What is 107 minutes before 8:32 AM? 6:45 AM What is 530 minutes after 11:23 AM? 8:13 PM How many minutes are there between 8:26 PM and 8:35 PM? 9 What is 401 minutes after 7:21 PM? 2:02 AM How many minutes are there between 6:01 AM and 3:48 PM? 587 How many minutes are there between 7:41 PM and 1:18 AM? 337 What is 274 minutes before 9:19 PM? 4:45 PM What is 507 minutes before 1:51 PM? 5:24 AM What is 155 minutes before 4:05 AM? 1:30 AM How many minutes are there between 11:00 AM and 5:46 PM? 406 How many minutes are there between 9:12 PM and 6:02 AM? 530 How many minutes are there between 4:24 AM and 1:23 PM? 539 How many minutes are there between 8:58 PM and 8:31 AM? 693 What is 605 minutes after 8:38 PM? 6:43 AM What is 538 minutes after 8:12 PM? 5:10 AM How many minutes are there between 9:59 AM and 6:58 PM? 539 How many minutes are there between 7:49 AM and 7:37 PM? 708 How many minutes are there between 12:40 PM and 11:23 PM? 643 What is 385 minutes after 10:15 PM? 4:40 AM How many minutes are there between 12:59 PM and 10:58 PM? 599 How many minutes are there between 1:21 AM and 3:53 AM? 152 How many minutes are there between 11:30 PM and 5:07 AM? 337 How many minutes are there between 5:38 PM and 1:03 AM? 445 How many minutes are there between 8:12 PM and 3:49 AM? 457 How many minutes are there between 9:49 PM and 8:16 AM? 627 What is 60 minutes before 3:37 AM? 2:37 AM How many minutes are there between 7:27 PM and 2:26 AM? 419 What is 132 minutes before 11:05 PM? 8:53 PM What is 42 minutes after 1:34 AM? 2:16 AM What is 12 minutes before 7:06 AM? 6:54 AM How many minutes are there between 11:01 AM and 4:18 PM? 317 What is 175 minutes before 1:28 PM? 10:33 AM How many minutes are there between 10:15 AM and 7:53 PM? 578 How many minutes are there between 3:27 PM and 10:37 PM? 430 How many minutes are there between 3:56 AM and 9:11 AM? 315 What is 585 minutes before 10:04 PM? 12:19 PM What is 572 minutes before 6:09 PM? 8:37 AM What is 661 minutes after 4:42 PM? 3:43 AM How many minutes are there between 11:10 PM and 5:03 AM? 353 How many minutes are there between 9:20 AM and 6:00 PM? 520 How many minutes are there between 4:34 AM and 2:16 PM? 582 How many minutes are there between 8:19 AM and 6:16 PM? 597 What is 92 minutes after 7:39 AM? 9:11 AM How many minutes are there between 2:25 PM and 9:44 PM? 439 How many minutes are there between 3:50 AM and 3:08 PM? 678 What is 546 minutes after 12:13 AM? 9:19 AM How many minutes are there between 8:34 PM and 3:38 AM? 424 What is 646 minutes after 4:04 AM? 2:50 PM What is 587 minutes before 3:39 PM? 5:52 AM What is 67 minutes before 1:38 PM? 12:31 PM What is 128 minutes after 3:22 AM? 5:30 AM What is 209 minutes after 2:50 AM? 6:19 AM How many minutes are there between 1:51 AM and 3:35 AM? 104 How many minutes are there between 2:31 AM and 6:26 AM? 235 What is 710 minutes before 5:26 PM? 5:36 AM How many minutes are there between 6:51 PM and 7:02 PM? 11 What is 295 minutes after 2:49 AM? 7:44 AM What is 507 minutes after 2:24 AM? 10:51 AM How many minutes are there between 10:34 AM and 11:15 AM? 41 What is 474 minutes before 10:30 AM? 2:36 AM What is 652 minutes after 6:04 PM? 4:56 AM
{ "pile_set_name": "DM Mathematics" }
3 - 5*o**2 - 116720800 wrt o? -784*o**3 - 45981*o**2 - 10*o What is the derivative of -15597520*g**3 - 9237459 wrt g? -46792560*g**2 Find the second derivative of 27856862*j**2 + 5440183*j wrt j. 55713724 Find the second derivative of 2548197*l**3*u**3 - 46*l**2*u**3 + 203*l*u**3 + 3*l*u**2 + l*u + 20*u**3 - 103*u + 1 wrt l. 15289182*l*u**3 - 92*u**3 Differentiate 7612*r**3 + r**2 - 52277*r - 222792636 with respect to r. 22836*r**2 + 2*r - 52277 Differentiate -s**2 + 3085770*s + 43688564 wrt s. -2*s + 3085770 Find the second derivative of -2026*m**2*y - 19409*m**2 + m*y + 6*m + y - 622 wrt m. -4052*y - 38818 What is the first derivative of b**2*u + 2*b*u - 2450122*b - 6533458*u wrt b? 2*b*u + 2*u - 2450122 Find the third derivative of 706*o**4 + 10647*o**3 - 3*o**2 - o - 156634 wrt o. 16944*o + 63882 Find the first derivative of 15668405*h*l**2 - 52028938*l**2 wrt h. 15668405*l**2 What is the second derivative of -21473067*p**3 - 12*p**2 - p - 197921323 wrt p? -128838402*p - 24 Find the second derivative of 102*k*u**5 + k*u - 11937*k - 5*u**5 - 2362*u**2 - u wrt u. 2040*k*u**3 - 100*u**3 - 4724 Find the first derivative of 310650563*y**4 + 205112890 wrt y. 1242602252*y**3 Differentiate 16940885*k*q - 10691021*q with respect to k. 16940885*q Find the second derivative of 332*c*l**4 + 653883*c*l**3 - 8*c*l - 10*l - 331958 wrt l. 3984*c*l**2 + 3923298*c*l Find the second derivative of 8852460*t**3 + 32*t + 56581 wrt t. 53114760*t Find the third derivative of 1118*d**5 + 279*d**4 + 21*d**3 + 35982511*d**2 wrt d. 67080*d**2 + 6696*d + 126 What is the second derivative of -512329126*d**2 - 963600*d + 107? -1024658252 What is the third derivative of 300624*b**3*g**2*z + 71*b**3*g*z - 13*b**2*g**2*z + 2*b**2*g**2 + 214*b**2*g*z + 5*b*g*z + b + 2*g**2*z - 39 wrt b? 1803744*g**2*z + 426*g*z Find the third derivative of 233414032*q**6 - 1189288*q**2 + 22. 28009683840*q**3 What is the third derivative of 2*n*t**4 + 15123*n*t**3 - 89*n*t**2*v - 23*n*t**2 - 502*n*t*v + 41*t**4*v wrt t? 48*n*t + 90738*n + 984*t*v What is the third derivative of -834332*d**3 - 504380*d**2 wrt d? -5005992 What is the second derivative of -326*v**5 - 293*v**4 + 8*v**3 - 1609535*v - 2? -6520*v**3 - 3516*v**2 + 48*v Differentiate 4817731*f + 3015557. 4817731 What is the derivative of f**3 + 55540*f**2 + 25*f - 2392501? 3*f**2 + 111080*f + 25 Find the third derivative of -77*a**3*b**3 - 2*a**3*z + 5221*a**2*b*z - 12*a*b*z**2 - 26037*b**3*z**2 - b**3 + 13*b**2*z wrt b. -462*a**3 - 156222*z**2 - 6 What is the second derivative of 94841*o*q**5 - 7*o*q**3 + 1709224*o*q + q wrt q? 1896820*o*q**3 - 42*o*q Differentiate -5779801*f + 9991802 wrt f. -5779801 Differentiate -124988116*g**4 - 283444628 wrt g. -499952464*g**3 What is the first derivative of -36*v**3*w + 1019*v**3 - 113*v**2*w + v*w + 2*v + 160*w - 34852 wrt w? -36*v**3 - 113*v**2 + v + 160 What is the first derivative of 11697*p**3 - 217*p**2 + 3*p + 8946688? 35091*p**2 - 434*p + 3 Find the second derivative of -47341935*p*x**2 + 3*p*x + p + 377847*x + 38 wrt x. -94683870*p Find the third derivative of -2*j**3*l**2 + 8159265*j**3*z**2 - 5*j**2*l**2*z**2 + 1747*j**2*l*z**2 + 5*l**2*z**2 + 295*l**2*z wrt j. -12*l**2 + 48955590*z**2 Find the third derivative of -6*y**4 + 89129*y**3 - 758593*y**2. -144*y + 534774 Find the third derivative of -14862272*t**3 - 9706577*t**2 - t wrt t. -89173632 What is the first derivative of -4061485*u*v**3 - 433332*v**3 + 21 wrt u? -4061485*v**3 What is the derivative of -2*t*x**2 + 1395325*t + 7468026*x**2 wrt x? -4*t*x + 14936052*x What is the third derivative of 96669061*w**4 - 14*w**2 + 887403*w + 1? 2320057464*w What is the second derivative of d**2*v**2*w**3 - 2268969*d**2*w**3 + 2*d*v**2*w**3 - 2*d*v**2 - 220190*v*w**3 wrt d? 2*v**2*w**3 - 4537938*w**3 What is the second derivative of -10157*c*f**4 + 5871*c*f**2 - 2*c*f + 298835*c + 2*f + 3 wrt f? -121884*c*f**2 + 11742*c What is the second derivative of -10654541*d**3 - 2*d - 4320285? -63927246*d What is the derivative of 133*l**4 - l**3 + 2469*l**2 + 5963591 wrt l? 532*l**3 - 3*l**2 + 4938*l Find the third derivative of -2*m**5 + 188*m**4 - 14919*m**3 + 7452*m**2 - 10 wrt m. -120*m**2 + 4512*m - 89514 What is the second derivative of -167652859*g**2 - 192070139*g? -335305718 What is the third derivative of c**6 + 91*c**4 - 297729*c**3 - c**2 + c - 465940 wrt c? 120*c**3 + 2184*c - 1786374 Differentiate -20*h**3 + 17*h**2 - 140*h - 29149521 wrt h. -60*h**2 + 34*h - 140 What is the third derivative of -115737676*s**3 + 17804781*s**2 wrt s? -694426056 Find the second derivative of 274093707*w**3 - 299678452*w wrt w. 1644562242*w What is the second derivative of 19239768*g**3*t**2 - 1817596*g**3 - g**2*t wrt t? 38479536*g**3 Differentiate -54620*d**3*m + 17073201*d**3 + 143*d**2*m**2 wrt m. -54620*d**3 + 286*d**2*m Differentiate 54*d**4 + 20681*d**2 - 2*d + 10379772 wrt d. 216*d**3 + 41362*d - 2 What is the second derivative of -f**2*h**3*k**2 - 1599553*f**2*h**3*k + 7*f*h**3*k - 17*f*h**2*k**2 + 14*f*h**2*k + 2*f*h*k**2 + 15*h - 5*k**2 wrt f? -2*h**3*k**2 - 3199106*h**3*k What is the derivative of -104943549*s**2 - 101691949? -209887098*s What is the second derivative of -7386281*d**2*s + 256576*d*s + 8*s wrt d? -14772562*s What is the third derivative of 8*h**3*u*y**2 + h**3*y**2 - 800347*h**3 - 24288*h**2*u*y**2 - h**2*u + 45*h**2 - 3*u*y**2 - 3*y**2 wrt h? 48*u*y**2 + 6*y**2 - 4802082 What is the first derivative of -14164203*y**2 + 3715928 wrt y? -28328406*y Find the second derivative of -205*a*q**3 - 35*a*q - 80880*a + 21215*q**3 + 6 wrt q. -1230*a*q + 127290*q What is the first derivative of -7271*u**2 + 14757*u - 465501597? -14542*u + 14757 What is the second derivative of 126*l**2*u + 11786*l**2 + 2402470*l*u wrt l? 252*u + 23572 Find the third derivative of -b**3*h - 36583002*b**3 + 951*b**2 + 13607*b*h wrt b. -6*h - 219498012 Differentiate 367*d**2 + 7466*d - 6401108 wrt d. 734*d + 7466 Find the first derivative of 142512*g**3 - 1339*g**2 - 135003314 wrt g. 427536*g**2 - 2678*g Find the second derivative of -373*i**3*z**3 - 80*i**3*z - 762*i*z**3 - 3*i*z**2 + 18*i*z - 5*z**3 - 8*z wrt i. -2238*i*z**3 - 480*i*z What is the third derivative of 660536512*t*y**3 + 5366*t - 5737*y**2 wrt y? 3963219072*t What is the second derivative of -3551998*i**3*x**3 + 230083*i**3 - 2*x wrt x? -21311988*i**3*x What is the third derivative of 9960*m**3*w**3 + 276*m**3*w**2*y**3 + 26*m**2*w**3*y**2 - 10*m**2*y**3 + m*w**3*y**3 + 19*m*w*y**2 wrt m? 59760*w**3 + 1656*w**2*y**3 Find the third derivative of -114565*v**3*z + 1296*v**3 + v**2*z + 29*v**2 - 12877*v*z + 44 wrt v. -687390*z + 7776 Differentiate -163317410*d**3*r + 3*d**3 - 19*d**2 - 406774*d wrt r. -163317410*d**3 Differentiate 257023465*b**3 - 133419643. 771070395*b**2 Differentiate 552566051*f**4 - 433303177 wrt f. 2210264204*f**3 Differentiate -2*t**2*v - 20740240*t*v**3 - 37461*v**3 - 192*v with respect to t. -4*t*v - 20740240*v**3 What is the third derivative of 257*o**2*r**4 + 15937*o**2*r + 403*o*r**3 + 2*r**4 + 97*r**2 wrt r? 6168*o**2*r + 2418*o + 48*r What is the first derivative of 734*l**4 - 12*l**3 + 26*l + 948244? 2936*l**3 - 36*l**2 + 26 What is the third derivative of -254961791*g**3 - 2*g**2 - 65399*g + 579? -1529770746 Find the second derivative of 2*k*x**3 + 2*k*x - 4708243*k + 41829516*x**4 + 5*x wrt x. 12*k*x + 501954192*x**2 Differentiate 238490966*s - 35130751 wrt s. 238490966 Find the second derivative of -j**3*w**2 - 4*j**3*w - 1568363*j**2*w**3 + 3*j**2 - 2*w + 8449 wrt w. -2*j**3 - 9410178*j**2*w What is the derivative of -2*z**4 - z**3 - 4420858*z - 52388828? -8*z**3 - 3*z**2 - 4420858 What is the derivative of 4628228*d**2 - 5747892? 9256456*d Differentiate 36291*b**2 - 432*b + 47006885 with respect to b. 72582*b - 432 What is the third derivative of 7890211*q**4 - 30471*q**2 - 35*q wrt q? 189365064*q What is the derivative of -t**4 - 539*t**3 + 44920*t - 827528702? -4*t**3 - 1617*t**2 + 44920 What is the derivative of 1143*h*j**3 + 113*h*j*s + 74*h - 42551*j**3*s - j**3 + 2*j - 2*s + 31 wrt h? 1143*j**3 + 113*j*s + 74 Find the second derivative of -5101018*k**5 + 443632*k - 23. -102020360*k**3 What is the derivative of -252293*s**3 - 2*s**2 - 13*s - 11640370?
{ "pile_set_name": "DM Mathematics" }
09 and 59. -5.31 What is 7 times -39? -273 -16 times 40 -640 Product of 1 and -55. -55 Multiply 21 and 181. 3801 Multiply -869 and -0.3. 260.7 Multiply 0.03 and 12. 0.36 What is the product of 17168 and -2? -34336 What is the product of -0.4 and -104? 41.6 0*95.1 0 -56 * 0.04 -2.24 What is the product of -6.8 and -1? 6.8 Work out -9.9 * 0.1. -0.99 What is the product of -32.2 and -0.1? 3.22 Work out 98 * 44. 4312 Calculate 3462*0. 0 Calculate 3*1390. 4170 Multiply -3 and -6.6. 19.8 12.8*7 89.6 1 * -4.5 -4.5 165 * 0.5 82.5 Product of -0.2 and -0.047. 0.0094 Product of -0.4 and 0.03. -0.012 What is 4.1 times 0.2? 0.82 What is 0 times -269? 0 Work out -13.75 * 0.2. -2.75 Calculate 0.0031*-0.2. -0.00062 Work out -0.3 * 1.3. -0.39 -3720*4 -14880 Multiply -0.3 and 615. -184.5 Calculate 0.1*834. 83.4 Product of 7 and 9.27. 64.89 What is 0.936 times 3? 2.808 -1.2*7 -8.4 Multiply -2 and 203. -406 1.64 times -0.12 -0.1968 Multiply 7 and -259. -1813 6*35 210 222 * -0.5 -111 -623 times 0.3 -186.9 Product of -6 and 1.05. -6.3 What is the product of -3 and -6.4? 19.2 Calculate 5*-30.9. -154.5 Work out 10 * -40. -400 Calculate 0.044*3. 0.132 0.5 times -0.011 -0.0055 Product of -2570 and 0.2. -514 -0.3 times 0.03 -0.009 Calculate -0.3*8. -2.4 Calculate -0.02*-24. 0.48 4 times -164 -656 38 * 0 0 5 times -255 -1275 Calculate -22*-2. 44 Product of -0.11 and -1543. 169.73 Work out 7 * -0.213. -1.491 2*-329 -658 Calculate -44*0.5. -22 190 times 0.01 1.9 Multiply -508 and -0.2. 101.6 -0.017*0.02 -0.00034 What is 0.9 times 0? 0 What is -0.4 times -541? 216.4 What is the product of 0.3 and 1.91? 0.573 Multiply -5 and 2.2. -11 What is the product of 3 and -394? -1182 95.27 times -0.5 -47.635 Calculate 0.3*-4777. -1433.1 Product of -0.5 and 62. -31 Product of -26 and 0.8. -20.8 What is the product of -28.5 and 0.1? -2.85 What is -0.063 times 6? -0.378 0.3*-0.07 -0.021 Multiply 0.06 and 49. 2.94 What is -3 times 126? -378 Calculate -1.17*0.3. -0.351 -0.61 * 70 -42.7 -0.0118*-1 0.0118 Calculate 3*167.5. 502.5 Work out 6 * 5.731. 34.386 What is the product of 5 and 311? 1555 What is 92 times 0.22? 20.24 What is the product of 0.5 and 0.014? 0.007 -0.311*-115 35.765 Calculate 5*1028. 5140 Product of 0.04 and 12. 0.48 -0.0886 * 1 -0.0886 -5925 * -3 17775 Multiply -0.8 and 9.7. -7.76 0.6 times 5 3 What is the product of 0.3 and -202? -60.6 What is 1752 times 0.4? 700.8 Calculate 421*2.7. 1136.7 What is the product of -21 and -2.3? 48.3 -144 times 3 -432 What is -10 times 0.07? -0.7 Work out 496 * -0.07. -34.72 -0.5 * -61 30.5 Product of -0.12923 and 0. 0 0 * -758 0 0.3*2701 810.3 Product of -6 and -1.47. 8.82 What is 1655 times -2.1? -3475.5 Product of 2.8 and -0.166. -0.4648 Multiply 297 and 0. 0 What is the product of -185 and 38? -7030 What is the product of -0.1 and -82? 8.2 -0.1576 times -3 0.4728 What is the product of 0.037 and 2? 0.074 56.3 times -1 -56.3 -12.1 * 5 -60.5 What is 13.1 times -6? -78.6 What is 0.4 times 13? 5.2 What is -0.1 times -0.3562? 0.03562 What is the product of 0.5 and -0.0857? -0.04285 -0.02 * -284 5.68 -9.6 times -1 9.6 Multiply 1.99 and -0.04. -0.0796 Calculate 32*529. 16928 -37*22 -814 What is -145 times 10? -1450 What is the product of -5 and -158? 790 2*-0.0508 -0.1016 -3 times -2 6 Product of -0.3 and -0.9. 0.27 Multiply 2969 and 2. 5938 -45 times -4 180 What is the product of -1 and -0.043? 0.043 Multiply -56 and -24. 1344 Calculate -0.04*-310. 12.4 Work out 79 * 0.9. 71.1 What is the product of -5 and -0.56? 2.8 What is the product of -2.9 and -6.5? 18.85 12*-0.3 -3.6 What is the product of 0.2 and -266? -53.2 Multiply -0.9 and 162. -145.8 2 times 36.3 72.6 Calculate 0.516*-0.01. -0.00516 Product of 5 and -10.4. -52 Product of 8 and -0.03. -0.24 181 * -2 -362 What is the product of 7 and -0.283? -1.981 1224 * 0.08 97.92 -1.134 * 6 -6.804 Calculate -408*-0.5. 204 What is the product of 11986 and 0.2? 2397.2 Product of 5 and -150. -750 0.004285 * -5 -0.021425 What is the product of -41 and 35? -1435 -5 * 2679 -13395 Work out -5 * -0.49. 2.45 Multiply -1 and 7. -7 Work out 0.7 * 0.4. 0.28 What is the product of 2 and 51? 102 Multiply -2.3 and 0.0133. -0.03059 14.199 times 1 14.199 Multiply -0.3 and 28. -8.4 -3 times 5.3 -15.9 What is 0.00503 times 1? 0.00503 1.4*0.06 0.084 Multiply 4438 and -1. -4438 What is the product of 0.1 and 1.82? 0.182 What is -0.1 times -0.0123? 0.00123 Product of 17 and 448. 7616 Multiply 0.5 and 0.76. 0.38 What is -0.1759 times 2? -0.3518 Multiply 0.9 and 1183. 1064.7 -7 * -1227 8589 What is 0.5 times -162? -81 What is the product of 1.19 and 0.01? 0.0119 -2 * -0.68 1.36 What is the product of -0.4 and 49? -19.6 Calculate 0.122*0.1. 0.0122 -141*90 -12690 Multiply 9953 and 0.1. 995.3 Multiply 51 and 0.07. 3.57 -452 times -0.3 135.6 What is 0.37 times -4? -1.48 79 * -2 -158 Work out -0.5 * -98. 49 -4 times 0.055 -0.22 Work out -7 * -0.03. 0.21 2.9 times 14 40.6 What is the product of 2.1 and 0.02? 0.042 Multiply -37.8 and -4. 151.2 3.277 * -2 -6.554 Multiply -1158 and 0.05. -57.9 Calculate 0.1*407. 40.7 Multiply 1325.7 and -0.4. -530.28 Work out 3 * -0.7. -2.1 -3*0.744 -2.232 -0.5 * 31 -15.5 -0.07 times -155 10.85 What is the product of -3 and 13? -39 Multiply -3 and -2073. 6219 Calculate -0.12*1. -0.12 Multiply -0.1 and 4237. -423.7 Product of -1688 and -5. 8440 -1.6 times -0.18 0.288 -2 * -0.011 0.022 What is the product of 12 and -203? -2436 11.2 times 0.08 0.896 Product of -4 and -195. 780 Multiply 0.062 and 1. 0.062 Work out 0.1 * 3. 0.3 Work out -1 * 2.04. -2.04 What is the product of 401 and -3? -1203 Work out -0.18 * -0.3. 0.054 0.2 times 2.18 0.436 -6 times -0.8 4.8 Product of 15 and -18. -270 What is the product of -106 and -74? 7844 14 times 0.483 6.762 Work out 24.6 * 4. 98.4 What is the product of 1971 and -0.1? -197.1 -17 * 1 -17 Product of -0.48 and -12. 5.76 3.3 * 5 16.5 Product of -4 and 0.303. -1.212 193*0.24 46.32 What is the product of 58 and 1? 58 0.5*-18.4 -9.2 0.4*-67.44 -26.976 0.37 times 1.7 0.629 Calculate 0.1*-27.2. -2.72 Product of 551 and 17. 9367 0.2*-865 -173 0.194 times 0 0 0.0474 times 14 0.6636 8*-187 -1496 What is the product of -0.042 and -0.136? 0.005712 Multiply 197 and -0.3. -59.1 0.87*-0.2 -0.174 -1 * -2549 2549 What is -1877 times 0.3? -563.1 What is -6482 times 0.2? -1296.4 -3 * 68 -204 5343 * -2 -10686 Multiply 5 and -333. -1665 Calculate 0*206. 0 What is -0.08 times 23? -1.84 -0.0195 times -2.1 0.04095 Calculate -101*-19. 1919 -0.001*-3 0.003 What is the product of -17 and 7.36? -125.12 -1 times -2 2 What is the product of 0.053 and -0.5? -0.0265 What is the product of 4 and 98? 392 Product of -0.4 and -444. 177.6 Multiply -1 and -0.0281. 0.0281 Product of 3 and 0.41. 1.23 Product of 0.356 and 4. 1.424 What is the product of -0.068 and -0.01? 0.00068 134*4 536 -2490 * 1 -2490 Multiply 0.5 and -0.026. -0.013 What is the product of -2.19 and -0.5? 1.095 Product of 0.08 and -0.1. -0.008 Calculate -0.002*-3. 0.006 -2 times -12 24 Multiply 0.89 and 6. 5.34 0.5 * 0.116 0.058 Calculate 12*8. 96 What is -0.01 times -3? 0.03 1 times 0.98 0.98 -0.3 * 2.5 -0.75 What is 0.4 times -0.19? -0.076 -4 * -258 1032 What is the product of 24 and -0.01? -0.24 0.1 * 255 25.5 Multiply -3 and -6.1. 18.3 What is -0.3842 times 0.4? -0.15368 Multiply 9.42 and 4. 37.68 Work out -152.2 * -0.2. 30.44 What is the product of 0.1 and 328? 32.8 -22 * 48 -1056 Calculate 0.4*-1.95. -0.78 What is the product of -0.09 and 7? -0.63 What is -1 times -5.4? 5.4 Work out 195.6 * 1. 195.6 What is 0.7 times -0.2? -0.14 Multiply 2.68 and 5. 13.4 -0.2 * 1.14 -0.228 11 * 56 616 Product of 1 and 203. 203 What is the product of -4 and -0.084? 0.336 -30.2 times -0.04 1.208 Calculate 312*18. 5616 Calculate 0.1*711. 71.1 Multiply 5.8 and 101. 585.8 What is 0.2 times 1.8? 0.36 Multiply -12 and -941. 11292 16.4 * -3 -49.2 Work out -0.01735 * -0.2. 0.00347 Multiply -3 and -0.54. 1.62 -6*-17.3 103.8 -0.6 * -0.0269 0.01614 7*-0.06 -0.42 -2 times 1707 -3414 Calculate -7153*-0.4. 2861.2 What is the product of 3 and -29? -87 Product of -0.1275 and -3. 0.3825 Work out 7 * 7. 49 What is -3016 times -0.4? 1206.4 -36 times 22 -792 -0.31 times -1.8 0.558 0.3 * -48 -14.4 7.4 times -15 -111 -5*71 -355 239*0.4 95.6 What is the product
{ "pile_set_name": "DM Mathematics" }
l(-10). Let x = 62 - r. What is the third derivative of -x*n**2 - 11*n**2 + 114*n**3 - 157*n**3 + 4*n**2 wrt n? -258 Suppose 4*r = 5*w - 37, w + 12*r - 15 = 9*r. Let q(h) = 56*h + 10. Let t(k) = -14*k - 3. Let z(j) = w*t(j) + 2*q(j). Differentiate z(a) with respect to a. -14 Let i(g) = 1177*g**2 - 196*g - 18. Let d(f) = -5886*f**2 + 981*f + 87. Let z(y) = -6*d(y) - 29*i(y). Find the second derivative of z(x) wrt x. 2366 Find the first derivative of 13*s + 11287*s**2 + 11*s + 9203 - 106*s + 82*s wrt s. 22574*s Find the third derivative of -2*m**4 + 242*m**5 + 0*m**2 - 109*m**5 + 50 + 242*m**5 + 3*m**4 + 2*m**2 wrt m. 22500*m**2 + 24*m Let s be ((-60)/(-84))/((-2)/(-14)). What is the second derivative of 26*i + 79*i**s - 67*i**2 + 67*i**2 wrt i? 1580*i**3 Let y(p) be the second derivative of -403*p**6/30 - p**4/12 + p**3/6 - 200*p**2 - 434*p + 2. What is the second derivative of y(s) wrt s? -4836*s**2 - 2 Let y = -4961 + 4965. Let s(b) be the second derivative of y*b**2 - 7*b + 0 - 4/3*b**3. Differentiate s(v) with respect to v. -8 Let f be 3/(-6)*-1*0. Let u(y) be the third derivative of -3/40*y**6 - 17/6*y**3 + 0*y**4 + f*y + 0 - 3*y**2 + 0*y**5. Differentiate u(j) with respect to j. -27*j**2 Find the second derivative of 58*a**2 + 49*a**3 - 52*a**3 - a**4 + 14*a**2 + 4 + 14*a**3 + 551*a wrt a. -12*a**2 + 66*a + 144 Suppose 0 = 6*i - 5 - 157. Find the first derivative of -i + 6*j**3 + j - 14*j**3 - 24 wrt j. -24*j**2 + 1 Suppose -91*h + 105*h - 42 = 0. Find the third derivative of -20*w + 3*w**2 + 0 - 6 - 89*w**h + 6 wrt w. -534 Suppose 9*l - 15 = 4*l. Suppose 0 = l*q - 12 + 3. What is the second derivative of 17*j**4 + 14*j + 91*j**q - 91*j**3 wrt j? 204*j**2 Suppose 5*k - 16 = 3*k. Suppose 3*n - 3*a = 6, 3*n = k*a - 3*a + 6. Find the second derivative of -22*j**n - 22*j**2 - 18*j**2 - 13*j + 56*j**2 wrt j. -12 Let g(m) be the third derivative of 104*m**7/105 - m**5/30 + m**4/8 - 5029*m**3/6 - m**2 - 236. What is the first derivative of g(r) wrt r? 832*r**3 - 4*r + 3 Suppose 4*t = 2*o - 160, 4*o + 3*t = -2*t + 372. Find the second derivative of 127*g - 89*g**2 - o*g**2 + 169*g**2 wrt g. -16 Let w = 105 - 172. Let k = w + 71. Differentiate -6*h**k - 12*h**4 - h**4 + 17 wrt h. -76*h**3 Let v(q) be the third derivative of -q**6/120 - 611*q**5/60 + 719*q**4/24 + q**3/3 + 9*q**2 - 46*q. Find the second derivative of v(x) wrt x. -6*x - 1222 Let s(v) be the third derivative of -359*v**9/63 - 2603*v**5/30 + 5433*v**2. What is the third derivative of s(i) wrt i? -344640*i**3 Suppose -8092 = -3*w - 0*w - k, 4*w - 10784 = -4*k. What is the third derivative of -w + 213*x**2 + 2698 + 10*x**4 - 26*x**4 wrt x? -384*x Suppose 0 = -4*i - 7 + 23. Let r be 28/42 + 30/9. Differentiate 27 + 15 + 3*u**r + 5*u**i - 7 with respect to u. 32*u**3 Let o(r) be the first derivative of -2*r**5/5 - 505*r**4/2 - 2671*r**3/3 + 564. What is the third derivative of o(i) wrt i? -48*i - 6060 Let l(z) be the first derivative of 68/3*z**3 + 40 + 0*z**2 - 3*z. Find the first derivative of l(v) wrt v. 136*v Suppose 2*t - 3*z + 62 = 0, -z = 3*t - 6*z + 95. Let s = 49 + t. Find the first derivative of -28 - 26*l + s + 20 wrt l. -26 Suppose -3*a = -5*p + 3 + 1, a + 2 = 2*p. What is the derivative of 2*h + a*h + 205*h**3 + 313 - 4*h + 73*h**3 wrt h? 834*h**2 Differentiate 1831 - 4210 - 3863 - 3415 - 4630*t wrt t. -4630 What is the third derivative of -201*x**3 + 509*x - 283*x + 881*x**2 - 226*x wrt x? -1206 Let w(h) = 2178*h**3 + 24*h**2 - 40*h - 3. Let r(l) = -2174*l**3 - 25*l**2 + 40*l + 4. Let f(q) = -3*r(q) - 4*w(q). Find the third derivative of f(d) wrt d. -13140 Let r = 44 - 27. Find the first derivative of r - 4*h - 47 - 13*h**4 - 13 wrt h. -52*h**3 - 4 Let v(q) = -41*q**3 + 3*q**2 - 3. Let s(f) = f - 1. Let o be s(-1). Let y be v(o). What is the third derivative of 337*u + 8*u**6 + 4*u**2 + 6*u**2 - y*u wrt u? 960*u**3 Let i(p) be the second derivative of 953*p**4/4 - 526*p**3 - 809*p. What is the second derivative of i(v) wrt v? 5718 Let d(u) be the third derivative of 2201*u**7/210 - u**5/10 - 227*u**3/6 - 6*u**2 - 835. Find the third derivative of d(b) wrt b. 52824*b Let z = 780 + -774. What is the third derivative of 300 - 51*h**6 - 299 - 160*h**2 + z*h**6 wrt h? -5400*h**3 Let y be 1/(2 - 5/3). Suppose 0 = -3*i - s + 16, 11 = -y*i + 5*s + 3. Find the second derivative of 2*t**4 + 30*t + 2*t**4 + 3*t**4 - 13*t**i wrt t. -72*t**2 Let x be (-268)/(-16) - (-1)/4. What is the third derivative of -3*c + 10*c + x*c**2 - 8*c - 2*c**3 - 3*c**2 wrt c? -12 What is the second derivative of -2836*k**5 - 15239*k + 5600*k - 587*k**5 wrt k? -68460*k**3 Let p(o) = 2*o - 67. Let g be p(39). Differentiate 39*r + 19*r + 50*r + g*r + 274 - 10*r wrt r. 109 Let x(i) be the second derivative of -14*i**3 + 0 - 1/10*i**5 + 0*i**4 + 87*i - 11/21*i**7 + 0*i**2 + 0*i**6. What is the second derivative of x(o) wrt o? -440*o**3 - 12*o Let d = 2046 + -2046. Let s(y) be the second derivative of 0*y**2 + 1/4*y**4 + d*y**3 + 6*y - 3/4*y**5 + 0. What is the third derivative of s(h) wrt h? -90 Let b = 144 + 138. Suppose -2*m + 38 + b = 0. Find the third derivative of m*t**3 - 23*t**2 + 4*t**2 - 141*t**3 wrt t. 114 Let h(f) = 3*f**3 + 152*f**2 - 1540*f + 2. Let q(x) = 4*x**3 + 150*x**2 - 1540*x + 3. Let v(b) = 3*h(b) - 2*q(b). Find the second derivative of v(d) wrt d. 6*d + 312 Let n be (5 - 4) + (4 - 2). Suppose c - 19 = t + 13, -n*t + 102 = 3*c. Find the first derivative of 0*g + 0*g + c - 3*g**2 + 6*g**2 wrt g. 6*g What is the second derivative of -5*j - 254*j**3 - 914*j**2 + 5*j + 915*j**2 - 2366 + j wrt j? -1524*j + 2 Let w = 24 - 13. Suppose -12 = -4*n, -n + 2 = 3*f - 4. Find the second derivative of f - w*b - 10*b**4 - 1 + 30*b wrt b. -120*b**2 Suppose -3*r = 5*p + 5 - 36, -5*p + 55 = -5*r. Suppose p*v + 2 = 9*v. Find the third derivative of -3*x**2 - 10*x**3 + 11*x**3 + 2*x**v wrt x. 6 Let j be 44 + (-2)/(-10)*5. Find the second derivative of -j*t + 390*t**5 - 19*t**2 - 49*t - 391*t**5 wrt t. -20*t**3 - 38 Let u(k) = 7426*k**2 - 18*k - 133. Let r(x) = -37130*x**2 + 96*x + 644. Let j(w) = 3*r(w) + 16*u(w). Differentiate j(c) wrt c. 14852*c Suppose 11*h = 12*h + 6. Let w(f) = -92*f**3 - 4*f - 51. Let j(k) = 46*k**3 + 2*k + 25. Let v(n) = h*w(n) - 11*j(n). Find the second derivative of v(c) wrt c. 276*c Suppose -c = 2*z, -4*z + 15 = 19. Find the first derivative of -10*x + 2*x**2 + 0*x**c + 23*x - 27 + 26*x wrt x. 4*x + 39 Let g(h) = -33*h**4 + 6*h**3 - 52. Let r(o) = -o**3 - 1. Let c = -342 - -343. Let m(y) = c*g(y) + 6*r(y). What is the first derivative of m(i) wrt i? -132*i**3 Suppose 18*c - 44 = 7*c. Find the third derivative of -20 + 88*n**c + 68*n**4 - 4 - 15*n**2 + 10*n**2 wrt n. 3744*n Let d(q) = -2*q**2 - 56*q + 85. Let z be d(-29). Differentiate 14*f - z*f - 25*f - 31*f + 20 with respect to f. -69 What is the second derivative of -886*p + 6228*p**3 + 270*p**2 + 974*p - 270*p**2 wrt p? 37368*p Let j be 1 + -8 + 397 + -366. Let g(v) be the first derivative of 0*v + 0*v**3 - j + 7*v**2 - 3/2*v**4. Find the second derivative of g(b) wrt b. -36*b Let w be (-312)/(-65)*(52/6 - 2). Find the first derivative of 87 - 63*b + 122*b + w*b wrt b. 91 Let h be (-2)/(-3)*(-475371)/(-102). Differentiate 230 + 3107*f**2 - h*f**2 - 6*f**3 with respect to f. -18*f**2 What is the second derivative of -82*w - 183*w**4 - 3331*w**4 - 24 + 19 wrt w? -42168*w**2 Find the second derivative of 567 + 567*h**5 - 284 - 283 + 1450*h wrt h. 11340*h**3 Suppose 3*b + 13 = 2*s, 5*s - 6*b - 40 = -b. Find the first derivative of 30*g + 14*g + 300 + g - 55 + s*g wrt g. 56 Let c(u) be the third derivative of -9*u**6/20 - u**4/24 + 24*u**3 + 97*u**2 + 34*u - 2. What is the second derivative of c(v) wrt v? -324*v Let p = -79 - -95. Suppose n = -7*n + p. Differentiate 30 - 3 - 8*t**2 - 14*t**2 - n wrt t. -44*t Let i(p) be the first derivative of 5492*p**5/5 + 12868*p**3/3 - 2172. Find the third derivative of i(c) wrt c. 131808*c Let x(l) be the third derivative of -25 + 0*l + 0*l**4 + l**2 - 44/3*l**3 + 0*l**6 - 11/30*l**5 + 3/70*l**7. What is the derivative of x(n) wrt n? 36*n**3 - 44*n Find the second derivative of -607*y**4 - 3637*y**4 + 14 + 5 - 529*y + 491*y wrt y. -50928*y**2 Let v(w) be the first derivative of 1646*w**5/5 - 239
{ "pile_set_name": "DM Mathematics" }
ctors of 869863. 869863 What are the prime factors of 5559562? 2, 2779781 What are the prime factors of 4200010? 2, 5, 420001 List the prime factors of 2386741. 7, 67, 727 List the prime factors of 4368676. 2, 13, 29, 2897 List the prime factors of 433394. 2, 13, 79, 211 List the prime factors of 18935812. 2, 7, 676279 List the prime factors of 145000. 2, 5, 29 List the prime factors of 219611. 7, 137, 229 What are the prime factors of 6669383? 7, 109, 8741 What are the prime factors of 2412129? 3, 804043 List the prime factors of 1546131. 3, 515377 List the prime factors of 236312. 2, 109, 271 What are the prime factors of 2241470? 2, 5, 7, 11, 41, 71 What are the prime factors of 776150? 2, 5, 19, 43 List the prime factors of 3970110. 2, 3, 5, 59, 2243 What are the prime factors of 92602? 2, 46301 List the prime factors of 14179049. 2251, 6299 List the prime factors of 1545140. 2, 5, 23, 3359 List the prime factors of 658392. 2, 3, 7, 3919 List the prime factors of 6470047. 17, 380591 What are the prime factors of 2896305? 3, 5, 293, 659 What are the prime factors of 1455818? 2, 7, 13, 19, 421 What are the prime factors of 189014? 2, 7, 23, 587 List the prime factors of 917976. 2, 3, 23, 1663 List the prime factors of 5743813. 23, 41, 6091 List the prime factors of 810152. 2, 7, 17, 23, 37 List the prime factors of 17568807. 3, 67, 87407 List the prime factors of 79721. 29, 2749 List the prime factors of 4145223. 3, 41, 67, 503 What are the prime factors of 392833? 7, 8017 What are the prime factors of 723917? 723917 List the prime factors of 611041. 23, 31, 857 What are the prime factors of 9360600? 2, 3, 5, 15601 List the prime factors of 9606208. 2, 150097 List the prime factors of 103985. 5, 7, 2971 List the prime factors of 2541894. 2, 3, 423649 What are the prime factors of 45781? 17, 2693 List the prime factors of 375740. 2, 5, 18787 List the prime factors of 226203. 3, 75401 List the prime factors of 1865070. 2, 3, 5, 17, 23, 53 What are the prime factors of 5522297? 11, 17, 29531 What are the prime factors of 6746411? 7, 487, 1979 What are the prime factors of 703482? 2, 3, 13, 29, 311 What are the prime factors of 6477709? 7, 925387 What are the prime factors of 28423029? 3, 9474343 List the prime factors of 198914. 2, 271, 367 What are the prime factors of 181786? 2, 11, 8263 List the prime factors of 4010643. 3, 7, 13, 59, 83 List the prime factors of 6886200. 2, 3, 5, 23, 499 What are the prime factors of 3479282? 2, 1739641 What are the prime factors of 285050? 2, 5, 5701 What are the prime factors of 991110? 2, 3, 5, 33037 What are the prime factors of 537998? 2, 268999 What are the prime factors of 363204? 2, 3, 19, 59 List the prime factors of 3834189. 3, 142007 What are the prime factors of 195277? 195277 What are the prime factors of 1929511? 127, 15193 List the prime factors of 12295736. 2, 19, 41, 1973 What are the prime factors of 1921249? 11, 174659 List the prime factors of 491245. 5, 19, 5171 What are the prime factors of 87356? 2, 21839 List the prime factors of 4820663. 4820663 List the prime factors of 215213. 19, 47, 241 What are the prime factors of 248023? 197, 1259 List the prime factors of 107570. 2, 5, 31, 347 What are the prime factors of 12265880? 2, 5, 11, 61, 457 List the prime factors of 327184. 2, 11, 13 List the prime factors of 1155937. 1155937 What are the prime factors of 67076? 2, 41, 409 List the prime factors of 40233. 3, 13411 What are the prime factors of 4401840? 2, 3, 5, 18341 What are the prime factors of 6039500? 2, 5, 47, 257 What are the prime factors of 276594? 2, 3, 46099 What are the prime factors of 3020? 2, 5, 151 List the prime factors of 250566. 2, 3, 41761 List the prime factors of 149482. 2, 31, 2411 What are the prime factors of 751573? 139, 5407 What are the prime factors of 335432? 2, 23, 1823 List the prime factors of 11917290. 2, 3, 5, 7, 11, 67 What are the prime factors of 14663385? 3, 5, 11, 2693 List the prime factors of 14608. 2, 11, 83 What are the prime factors of 348165? 3, 5, 2579 What are the prime factors of 1381742? 2, 690871 List the prime factors of 5271718. 2, 463, 5693 What are the prime factors of 226072? 2, 7, 11, 367 What are the prime factors of 5670566? 2, 11, 113, 2281 What are the prime factors of 238981? 353, 677 List the prime factors of 79440. 2, 3, 5, 331 What are the prime factors of 1310944? 2, 71, 577 List the prime factors of 18253256. 2, 7, 325951 What are the prime factors of 214154? 2, 107077 What are the prime factors of 184187? 184187 List the prime factors of 122025. 3, 5, 1627 What are the prime factors of 777951? 3, 28813 List the prime factors of 13144900. 2, 5, 131449 What are the prime factors of 843374? 2, 7, 107, 563 What are the prime factors of 2857476? 2, 3, 227, 1049 What are the prime factors of 4101558? 2, 3, 41, 16673 List the prime factors of 159271. 7, 61, 373 List the prime factors of 617375. 5, 11, 449 What are the prime factors of 29251901? 7, 41, 227, 449 What are the prime factors of 52427? 103, 509 What are the prime factors of 293340? 2, 3, 5, 4889 What are the prime factors of 234253? 433, 541 What are the prime factors of 2796448? 2, 31, 2819 What are the prime factors of 18852795? 3, 5, 13, 37, 67 List the prime factors of 4952791. 241, 20551 What are the prime factors of 173628? 2, 3, 7, 13, 53 List the prime factors of 572259. 3, 190753 What are the prime factors of 8767546? 2, 17, 257869 What are the prime factors of 33254002? 2, 53, 313717 List the prime factors of 851112. 2, 3, 11821 What are the prime factors of 260955? 3, 5, 1933 List the prime factors of 1654566. 2, 3, 29, 37, 257 What are the prime factors of 14016364? 2, 17, 206123 What are the prime factors of 11390192? 2, 11, 64717 List the prime factors of 442023. 3, 147341 What are the prime factors of 405963? 3, 43, 1049 What are the prime factors of 334263? 3, 67, 1663 List the prime factors of 7213116. 2, 3, 601093 List the prime factors of 272556. 2, 3, 67, 113 List the prime factors of 2769968. 2, 37, 4679 What are the prime factors of 172954? 2, 86477 List the prime factors of 155255. 5, 31051 List the prime factors of 515890. 2, 5, 23, 2243 List the prime factors of 127592. 2, 41, 389 What are the prime factors of 1298269? 7, 185467 List the prime factors of 16424. 2, 2053 List the prime factors of 444638. 2, 19, 11701 What are the prime factors of 4238568? 2, 3, 31, 211 What are the prime factors of 231310? 2, 5, 23131 What are the prime factors of 18127077? 3, 37, 163307 What are the prime factors of 3706466? 2, 569, 3257 What are the prime factors of 5636503? 17, 233, 1423 What are the prime factors of 16647698? 2, 8323849 What are the prime factors of 3724162? 2, 13, 227, 631 List the prime factors of 826817. 167, 4951 What are the prime factors of 5721448? 2, 73, 97, 101 What are the prime factors of 11449432? 2, 17, 29, 2903 List the prime factors of 288189. 3, 11, 41, 71 List the prime factors of 1257441. 3, 419147 What are the prime factors of 19865947? 31, 640837 List the prime factors of 105747. 3, 101, 349 List the prime factors of 376132. 2, 94033 What are the prime factors of 31946008? 2, 3993251 What are the prime factors of 263941? 263941 List the prime factors of 5020858. 2, 2510429 List the prime factors of 2093334. 2, 3, 348889 What are the prime factors of 436270? 2, 5, 43627 What are the prime factors of 3760814? 2, 73, 25759 What are the prime factors of 248017? 7, 11, 3221 What are the prime factors of 7275621? 3, 2425207 What are the prime factors of 10312325? 5, 412493 List the prime factors of 277574. 2, 11, 31, 37 What are the prime factors of 28759391? 28759391 What are the prime factors of 324992? 2, 2539 What are the prime factors of 248498? 2, 124249 What are the prime factors of 2249149? 7, 197, 233 What are the prime factors of 6092638? 2, 79, 38561 List the prime factors of 30261182. 2, 7, 2161513 What are the prime factors of 1146254? 2, 29, 19763 What are the prime factors of 1736521? 37, 46933 List the prime factors of 18762. 2, 3, 53, 59 List the prime factors of 552782. 2, 23, 61, 197 List the prime factors of 87859. 103, 853 What are the prime factors of 356193? 3, 19, 2083 What are the prime facto
{ "pile_set_name": "DM Mathematics" }
42674 What is the next term in 1562, 2842, 4086, 5276, 6394? 7422 What is the next term in -2275614, -4551469, -6827326, -9103185, -11379046, -13654909? -15930774 What is next in -8629, -59692, -195631, -458884, -891889, -1537084, -2436907? -3633796 What is the next term in 845, -1258, -3359, -5458, -7555, -9650, -11743? -13834 What comes next: 1610204, 1610223, 1610256, 1610303, 1610364? 1610439 What comes next: 530, 1186, 1996, 2978, 4150, 5530? 7136 What is the next term in -16868322, -16868321, -16868320? -16868319 What is the next term in -114, -846, -2220, -4362, -7398? -11454 What is next in -2964, -2040, -462, 1776, 4680, 8256, 12510? 17448 What comes next: 143964, 142299, 140634, 138969? 137304 What comes next: -15180, -30910, -46646, -62388? -78136 What is the next term in 167187, 334497, 501797, 669081, 836343, 1003577, 1170777? 1337937 What is the next term in -317478, -317512, -317568, -317646, -317746, -317868, -318012? -318178 What is next in 238669, 238641, 238613? 238585 What is next in -779, -2758, -8173, -18746, -36199? 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5252 What comes next: 12812382, 102499105, 345934506, 819992925, 1601548702, 2767476177, 4394649690, 6559943581? 9340232190 What is next in 521941, 521763, 521585, 521407, 521229? 521051 What comes next: 429878, 859826, 1289774, 1719722? 2149670 What comes next: -226798439, -453596879, -680395319, -907193759, -1133992199? -1360790639 What is next in -245522, -244750, -242648, -238550, -231790, -221702, -207620? -188878 What is the next term in -16380, -16495, -16684, -16947, -17284, -17695? -18180 What is next in -13289, -13544, -13967, -14558, -15317, -16244, -17339? -18602 What is next in 20827904, 20827901, 20827898, 20827895, 20827892? 20827889 What is next in -385982, -385994, -386014, -386042? -386078 What is the next term in 12255, 49348, 111285, 198072, 309715? 446220 What is the next term in 14838, 14804, 14860, 15006? 15242 What comes next: -135, -1084, -2619, -4746, -7471, -10800? -14739 What is next in 1115433, 1115437, 1115445, 1115457, 1115473, 1115493, 1115517? 1115545 What is next in -64862, -64717, -64578, -64445? -64318 What is next in 485069, 485024, 484979? 484934 What is next in -1137, -2367, -3575, -4749, -5877, -6947, -7947? -8865 What is next in -1579487, -6317977, -14215459, -25271927, -39487375, -56861797, -77395187? -101087539 What is the next term in -209, -1917, -6743, -16295, -32181, -56009? -89387 What is next in -195371, -196148, -196925, -197702, -198479, -199256? -200033 What comes next: 28814, 116912, 263742, 469304, 733598? 1056624 What is the next term in 473978, 947945, 1421912, 1895879, 2369846? 2843813 What comes next: -352260, -1409072, -3170436, -5636358, -8806844, -12681900, -17261532, -22545746? -28534548 What is the next term in 506011, 505995, 505979? 505963 What is next in -45484, -88286, -131088, -173890, -216692? -259494 What is next in 724797, 2899210, 6523267, 11596998, 18120433, 26093602? 35516535 What is the next term in -5818, -9840, -13862, -17884? -21906 What comes next: -6456, -12768, -19078, -25386? -31692 What comes next: -3884, -3825, -3702, -3491, -3168, -2709, -2090, -1287? -276 What is next in -156469, -625903, -1408295, -2503645, -3911953, -5633219, -7667443? -10014625 What comes next: -247, -1789, -5843, -13627, -26359, -45257, -71539, -106423? -151127 What comes next: -187, -769, -2097, -4543, -8479, -14277, -22309? -32947 What is next in 3075943, 6151892, 9227841, 12303790, 15379739, 18455688? 21531637 What is next in 2013822, 8055194, 18124116, 32220588, 50344610, 72496182, 98675304? 128881976 What comes next: 3067663, 6135316, 9202965, 12270610, 15338251, 18405888? 21473521 What is the next term in -3123, -1104, 915, 2934, 4953, 6972? 8991 What is next in 3149529, 6299061, 9448593, 12598125, 15747657? 18897189 What is next in -409, 790, 4705, 12692, 26107, 46306, 74645? 112480 What is the next term in 3541, 3536, 3521, 3496? 3461 What comes next: 104924718, 209849435, 314774152? 419698869 What is the next term in -55793113, -111586227, -167379345, -223172467, -278965593, -334758723? -390551857 What is the next term in -1357, -6433, -20189, -46963, -91093? -156917 What comes next: -12491, -23933, -35377, -46823? -58271 What comes next: -23421, -25881, -29981, -35721, -43101, -52121, -62781? -75081 What is next in 28083052, 28083053, 28083054, 28083055, 28083056? 28083057 What is next in -451430, -451326, -451222, -451118, -451014? -450910 What comes next: 2603, 5246, 7937, 10676, 13463? 16298 What is the next term in -1074, -932, -690, -348, 94? 636 What is the next term in 58328, 58627, 58924, 59219, 59512? 59803 What is the next term in 35190, 70998, 107428, 144480, 182154, 220450, 259368? 298908 What is the next term in 762, 5412, 13224, 24204, 38358? 55692 What is next in -96408, -385098, -866248, -1539852, -2405904, -3464398, -4715328? -6158688 What is next in 56397811, 56397813, 56397815, 56397817? 56397819 What is next in -43569, -43310, -43051, -42792, -42533? -42274 What comes next: 63799, 63096, 62393, 61690, 60987, 60284? 59581 What is the next term in 109581, 438322, 986225, 1753290? 2739517 What comes next: 578439686, 1156879373, 1735319060? 2313758747 What is the next term in 255612, 1022419, 2300430, 4089645, 6390064, 9201687, 12524514? 16358545 What comes next: -1234, -9675, -32332, -76213, -148326, -255679, -405280? -604137 What is next in -261, -1976, -6391, -14760, -28337? -48376 What is next in 936, 1793, 2618, 3417, 4196, 4961? 5718 What is the next term in -866840, -866837, -866834, -866831? -866828 What is next in -1074840, -1074812, -1074744, -1074618, -1074416? -1074120 What comes next: 30068327, 60136661, 90204985, 120273293, 150341579? 180409837 What comes next: -37151157, -37151173, -37151199, -37151235, -37151281? -37151337 What is next in -31987, -31182, -30379, -29578, -28779, -27982? -27187 What comes next: 656225, 1312299, 1968373, 2624447, 3280521, 3936595? 4592669 What is the next term in -29, 432, 1039, 1792, 2691, 3736, 4927? 6264 What comes next: 10967732, 10967740, 10967754, 10967774, 10967800? 10967832 What is the next term in 2496, 21334, 72774, 173118, 338668? 585726 What is next in -48075, -49442, -50819, -52212, -53627, -55070? -56547 What is the next term in 225226, 450331, 675312, 900169? 1124902 What comes next: -9934, -18408, -26882? -35356 What is next in 12644434, 12644415, 12644396? 12644377 What is the next term in 2980, 742, -2990, -8216? -14936 What comes next: -46252276, -92504550, -138756824, -185009098, -231261372, -277513646? -323765920 What comes next: -150, 1435, 6038, 15171, 30346, 53075? 84870 What comes next: 38908, 155577, 350026, 622255? 972264 What is the next term in -3429446, -13717743, -30864902, -54870917, -85735782? -123459491 What is the next term in -3536, -7155, -10832, -14567, -18360, -22211? -26120 What is the next term in 35403, 35417, 35451, 35517, 35627, 35793, 36027? 36341 What is the next term in 62776, 125594, 188406, 251212, 314012? 376806 What is the next term in 377652, 377602, 377494, 377298, 376984, 376522? 375882 What is next in 1528041505, 1528041503, 1528041501, 1528041499, 1528041497, 1528041495? 1528041493 What is next in
{ "pile_set_name": "DM Mathematics" }
rue Let j = 463 - 458. Suppose f = 0, 15*w + 6254 = 17*w - j*f. Is w composite? True Let i(t) = 3*t**2 - 15*t + 2. Let s be 2/(54/(-15) - -4). Let v be i(s). Suppose -v*d - 7 = -33. Is d composite? False Suppose -31 = -q - 28. Is ((-18)/(-36))/(-4*q/(-121848)) prime? True Suppose -5*s = -6 - 14. Let w be 3/(s - (-26)/(-8)). Is 2*(-4875)/(-18) + w/(-6) a prime number? True Suppose 2*g - 12 + 0 = -3*p, 5*p + 8 = -g. Let d be 3/((-63)/g) + 54/21. Suppose -d*a + 873 = 7*a. Is a a composite number? False Suppose 9*g - 1082547 = 1798740. Is g composite? False Suppose -3*z - 3*y = -0*z - 271530, 1357663 = 15*z + 2*y. Is z prime? True Is 176/(-44) + ((-2398131)/(-21) - 2/(-7)) prime? True Let y = 26425 + -12452. Is y prime? False Suppose -378 = 6*l - 0*l. Let m = l - -60. Is (-8 - m) + 840/5 prime? True Suppose 28*g - 31*g + 53678 = 5*z, -2*g + z + 35755 = 0. Is g a composite number? False Let q(i) = 25 + 18 - 666*i - 69 + 9. Is q(-4) prime? True Suppose 20773*a - 20784*a + 1590193 = 0. Is a a composite number? False Let l(d) be the first derivative of 71*d**4/4 - 7*d**2/2 + 18*d + 9. Is l(4) a composite number? True Let c be (3 - (-117)/(-21))*-7*1. Suppose -c = -15*k + 12*k. Let y(o) = 124*o - 5. Is y(k) prime? True Let l = 741125 + -509122. Is l composite? False Let s = 24663 + -9050. Is s prime? False Let p = 14 - -44. Suppose -66*f + 9176 = -p*f. Is f a prime number? False Suppose 50*n = 120685 + 1189265. Let b = n - 17536. Is b composite? False Let n be (247728/(-32))/(4/(-8)). Let s = -3206 + n. Is s a prime number? True Suppose 4*z - 285 = -265. Suppose 0 = -4*q + z*q - 1543. Is q prime? True Let z = 50 + -44. Suppose -y - 138 = z. Let c = -41 - y. Is c a prime number? True Suppose -2*o + 5281612 = -2*l, 0 = 7*o - 2*o + 4*l - 13204075. Is o a composite number? True Let p(s) be the second derivative of -7*s**4/6 + s**3/3 - 9*s**2/2 + 32*s. Let t be p(13). Is t/18*(-2)/3 a prime number? False Suppose -15*b + 79560 = -30*b. Let u = -911 - b. Is u a prime number? False Suppose 0 = -k - 35 + 30. Let t(l) = -231*l + 34. Let r be t(k). Let v = r - 606. Is v a composite number? True Let z = -70 + 68. Let l be (49080/(-25))/6 - z/10. Is 4/(24/l)*-10 a composite number? True Let i(u) be the third derivative of -u**6/120 - u**5/3 - 11*u**4/24 - 3*u**3/2 + 85*u**2. Let h be (-116)/6 + 18/(-27). Is i(h) composite? False Suppose -4*b + 22*y - 27*y + 2787182 = 0, 3*y = 6. Is b a composite number? False Let t(w) = 19*w**2 + 6*w - 7. Let x be t(1). Let v = x - 15. Suppose 6*a - 5*n = 4*a + 506, 5*a = v*n + 1265. Is a a prime number? False Let b(k) be the second derivative of 7*k**4/6 + 17*k**3/3 - k**2 + 42*k. Is b(-19) composite? True Suppose 4*w + 103 = 143. Is (-48)/(-240) - (-14018)/w a prime number? False Suppose -2*p - 142 + 28 = 0. Let x = 59 + p. Suppose 0 = -5*a, x*m - 2*a = 3*m - 14. Is m a composite number? True Let z(g) = 6*g**2 + 36*g + 2. Let s be z(-6). Suppose 4*f = 4*p + 52136, -3*p - 4628 = -s*f + 21441. Is f a composite number? False Suppose -109*b + 385192 = 107*b - 208*b. Is b a composite number? True Suppose 4*q + 5 = -q, 2*q = -2*g + 2. Suppose -o - g*v = 3, 2*o + 9 = 3*o - 2*v. Is (-7180)/(-16) + o/12 composite? False Suppose -256*y + 12*y + 30042308 - 11022264 = 0. Is y a prime number? True Suppose -2*x = 5*a - 16, -7*x + 4 = -3*x - 4*a. Let p be 30/(-9) + 1/x + 106. Let v = p - -388. Is v a prime number? True Suppose 254*d - 249631 = 147*d. Is d a prime number? True Let y(n) = 3101*n**2 + 11*n + 8. Let w be y(-1). Suppose 2*o - 4*d - w = 0, 2*o + 2*d - 1212 = 1868. Is o prime? True Let t(x) = 17*x - 3 - 36*x + 22*x + 2*x**2. Let b be t(1). Suppose b*d = 83 + 23. Is d a composite number? False Let o = 105 - 105. Let q be o/(20/10*2/(-4)). Suppose q = 2*a - 34 - 136. Is a composite? True Let l = -95 + 97. Let o(z) = 0 + 0*z + 4*z**l - 13 - 16*z. Is o(17) a composite number? True Let m be 3577/294 - (1/6 + -1). Let b(y) = 95*y**2 - 25*y + 37. Is b(m) a composite number? False Let r be (14 - 8 - 4)/((-2)/(-3)). Suppose r*p + 0*j - 5343 = 3*j, -2*j + 3546 = 2*p. Is p prime? True Let m be 9099/(-2) + (-1 - (-5)/2). Let k = m + 11785. Is k composite? False Suppose -14 = 3*j - 4*n + 42, 8 = j + 4*n. Let y be -9 - j - 1/1. Is (-53 + y)/((-3)/2) a composite number? True Let v = -43332 + 95035. Is v a prime number? False Suppose 6*u + 130118 = -10906. Let c = u - -47945. Is c a prime number? False Let r(t) = 5*t**3 - 9*t**2 - 60*t + 267. Is r(14) a composite number? False Suppose -289*l - 280788 = -293*l. Is l a prime number? False Let l(b) = b + 3. Suppose 4*c = 3*g - 4*g + 5, 2*g - 10 = c. Let y be l(c). Suppose -5*o + 5*n = -11005, o + y*n = 2*n + 2205. Is o a prime number? True Let z be 260/45 + -6 - (-53007)/27. Suppose 3*s = 5*t - 1754 - 598, -t - 5*s = -448. Suppose k = -2*g + z - t, -4*k - 2*g = -5992. Is k prime? True Suppose 12*n - 7*n = -2*q + 7, 0 = 4*q + n - 23. Suppose -3*l = q, -3*c - 579 + 3278 = 2*l. Is c a composite number? True Suppose 53415440 + 147828069 - 33496174 = 245*b. Is b a composite number? False Let t = 20123 - 802. Suppose -2*w = w + 3, 4*n + 3*w = t. Is n a prime number? True Suppose 0 = -6*p + 4*p + 9798. Let i = p - 3188. Is i prime? False Suppose x = 6*x - 240. Let s = -46 + x. Suppose s*d + 2524 = 4*c - d, -c - 2*d + 631 = 0. Is c composite? False Let q = 337052 - -575595. Is q composite? False Let d = 60 + -53. Let t(w) = -d*w - 1 + 217*w**2 + 14*w + 6. Is t(-4) composite? False Suppose 390*a = 379*a + 27097301. Is a a prime number? False Let c be (-5585)/9*3 - 2/6. Let u = 5695 + c. Is u prime? True Let r(j) = -2*j**3 - 5*j**2 + 6*j + 17. Let x be r(-4). Suppose 6*t - x = -23. Suppose 5*u + 2906 = t*i, -i - 5*u = 153 - 1115. Is i a prime number? True Suppose -65*y = 176*y - 103724713. Is y a prime number? True Suppose -3*k + 30535 = 8644. Suppose 5*s - k = 1098. Is s a prime number? False Let v = 11201 - 7492. Is v a composite number? False Suppose 1038*c = 972*c + 5090910. Is c a prime number? False Let o = 108572 - -311501. Is o composite? False Is -8 + 154871 - (-16)/2 prime? True Suppose 3*l - 5*l = -5*k - 24027, -5*k = -3*l + 24023. Let n = 1420 - k. Is n a composite number? True Suppose 0 = -63*z - 20*z + 3858840 + 1666553. Is z composite? False Let s(a) = -4025*a + 1207. Is s(-20) prime? True Let u = 210936 - -16351. Is u composite? True Suppose 6*s - 8 - 10 = 0. Suppose 0*h - 2*h + s*b = -1537, 2*h - 1522 = -2*b. Suppose -h = -4*f + 1568. Is f composite? True Suppose 8*a - 5*a + 3*j - 56394 = 0, 0 = a - 5*j - 18792. Is a prime? True Suppose -53*y + 47*y - 84 = 0. Is 10546/3*(77/y - -7) prime? True Let b = -108 + 108. Suppose b = -2*v + 2*o + 694 + 4214, o - 4923 = -2*v. Is v composite? False Let v(s) = -4699*s + 628. Is v(-25) a prime number? False Let w be (1 - 14/(-4))*-1538. Let t = w - -13118. Is t a composite number? False Let o(j) = j**3 + 24*j**2 + 52*j + 113. Is o(24) a prime number? True Let b(z) = 15*z**3 + 6*z**2 - z + 47. Let r be b(9). Suppose -3*t = g - r, -5*g + 9*t + 57295 = 13*t. Is g a composite number? True Let j be (-25 - -23)*(-68 - (-2 - -1)). Is (-47100)/(-11) + 1 - j/(-737) prime? True Suppose 3*f - 262 = -f + 3*l, f - 5*l - 57 = 0. Suppose -4*v = -f + 55. Suppose v*z - 3701 + 289 = m, -z + 1135 = 2*m. Is z a composite number? True Let h = 152965 + 129880. Is h a prime number? False Let h be (-5 - -1)*((-18)/(-3) - 7). Is (55956/(-8))/((-6)/h) composite? False Let p = -9 - -22. Let x = p - 16. Is 2/3 - 283/x a prime number? False Suppose y + 4 = 2*y, 5*m = 5*y - 20. Let i be 1 + m + (-7 - 6444/(-4)). Suppose 3318 = 2*f + 5*h, -2*f + i = 2*h - 1725. Is f a prime number? True Let b = 53846 + -11649. Is b composite? False Let c be (-6 - -8)*86/4. Let r = 43 - c. Suppose -3*z = -r*z - 2361. Is z a prime number? True Suppose 7134767 = -69*r + 51283244. Is r a composite number? False Let y(c) = c**2 - 40*c + 304. Let p be y(10). Suppose i - 9*j = -14*j + 944, p*i + j = 3719. Is i a prime number? True Let w be (-12)/(-66) + ((-161472)/(-22))/2. Suppose -14*q = -19*q + w. Suppose g - 5*i = -0*g + q, -i = -2*g + 1477. Is g a prime number? True Is 13 + 33/(462/1431920) prime? True Let n(h) = 2*h + 67 - 80 + 0*h**2 + 3*h**2. Is n(16) prime? True Let v be -1 - ((-5 - -4) + -34). Let
{ "pile_set_name": "DM Mathematics" }
of sequence yyy? 1/35 What is prob of sequence eexx when four letters picked without replacement from {z: 1, x: 1, e: 3}? 0 Three letters picked without replacement from {v: 4, n: 1, y: 9, q: 5, o: 1}. What is prob of sequence ovv? 1/570 Three letters picked without replacement from {m: 17, k: 1}. Give prob of sequence mmm. 5/6 What is prob of sequence hh when two letters picked without replacement from {h: 5}? 1 Two letters picked without replacement from wqqd. Give prob of sequence dq. 1/6 Calculate prob of sequence htt when three letters picked without replacement from hhhxhxttj. 1/63 What is prob of sequence bbll when four letters picked without replacement from {l: 2, t: 1, b: 2}? 1/30 Calculate prob of sequence vv when two letters picked without replacement from {m: 3, v: 9}. 6/11 What is prob of sequence fgt when three letters picked without replacement from {v: 4, r: 2, t: 1, g: 2, f: 7}? 1/240 What is prob of sequence vffv when four letters picked without replacement from {v: 3, f: 7}? 1/20 Three letters picked without replacement from dpgllpdrpl. Give prob of sequence lgl. 1/120 Three letters picked without replacement from wwwddd. What is prob of sequence www? 1/20 Calculate prob of sequence zaa when three letters picked without replacement from zzazannzaj. 1/30 Three letters picked without replacement from {c: 7, w: 2}. Give prob of sequence ccw. 1/6 Four letters picked without replacement from hnnnnhnnnhnnnh. What is prob of sequence nnnh? 120/1001 Calculate prob of sequence dx when two letters picked without replacement from {j: 1, h: 1, a: 1, d: 1, x: 1}. 1/20 Three letters picked without replacement from {g: 3, p: 1, h: 5, c: 5, u: 1}. Give prob of sequence gpg. 1/455 Calculate prob of sequence xx when two letters picked without replacement from gxxgxxllllxllgllxlx. 7/57 Two letters picked without replacement from ycyyyssscccc. What is prob of sequence sc? 5/44 Three letters picked without replacement from {j: 14, i: 4}. Give prob of sequence iii. 1/204 Three letters picked without replacement from {i: 3, l: 5, z: 1, r: 7}. Give prob of sequence izl. 1/224 Three letters picked without replacement from ayqqqquqaaaaqaqua. What is prob of sequence uqa? 49/2040 Calculate prob of sequence vv when two letters picked without replacement from vjvrrvrvrrkvvvrrrvt. 28/171 Three letters picked without replacement from {d: 1, g: 2, j: 3, k: 1, h: 4}. Give prob of sequence jdg. 1/165 Calculate prob of sequence gv when two letters picked without replacement from dddvdvddggvd. 1/22 Three letters picked without replacement from {n: 1, q: 1, r: 2}. Give prob of sequence rqn. 1/12 Four letters picked without replacement from jjjjjjj. What is prob of sequence jjjj? 1 Two letters picked without replacement from {v: 2, i: 6, n: 1, y: 3}. Give prob of sequence yn. 1/44 Calculate prob of sequence uixs when four letters picked without replacement from {s: 4, x: 1, u: 2, i: 4}. 2/495 Calculate prob of sequence co when two letters picked without replacement from {j: 4, c: 1, h: 4, b: 2, x: 2, o: 1}. 1/182 What is prob of sequence brr when three letters picked without replacement from {r: 8, b: 2}? 7/45 What is prob of sequence fm when two letters picked without replacement from {w: 2, a: 4, f: 2, m: 1}? 1/36 Two letters picked without replacement from rrxrrrrrxxrrrrrr. Give prob of sequence xr. 13/80 Calculate prob of sequence fiir when four letters picked without replacement from {i: 2, y: 10, w: 2, f: 2, m: 1, r: 3}. 1/9690 Two letters picked without replacement from {v: 9, j: 2}. Give prob of sequence vj. 9/55 Two letters picked without replacement from {y: 5, x: 2, u: 1, w: 1, g: 1}. What is prob of sequence gu? 1/90 Two letters picked without replacement from ruuuuuuu. What is prob of sequence ur? 1/8 Three letters picked without replacement from ojpibjifo. What is prob of sequence obo? 1/252 Calculate prob of sequence nqge when four letters picked without replacement from {q: 1, g: 2, n: 1, a: 1, m: 1, e: 2}. 1/420 Three letters picked without replacement from azawwwwzzazawaazwza. Give prob of sequence zzw. 10/323 Calculate prob of sequence kjjk when four letters picked without replacement from {j: 3, k: 12}. 11/455 What is prob of sequence ktf when three letters picked without replacement from {f: 1, k: 1, p: 2, t: 4, r: 1}? 1/126 Two letters picked without replacement from qnoqnqqnqnqqnqqqonq. What is prob of sequence qo? 11/171 What is prob of sequence ru when two letters picked without replacement from {u: 3, r: 13}? 13/80 Three letters picked without replacement from mpmmmmmyppmmwwpppy. What is prob of sequence ppy? 5/408 What is prob of sequence eje when three letters picked without replacement from jejejjjejj? 7/120 Two letters picked without replacement from {e: 1, f: 1, g: 1, m: 1, x: 1}. Give prob of sequence ge. 1/20 Four letters picked without replacement from bbbbfbbfbbbbb. What is prob of sequence bbff? 1/78 Four letters picked without replacement from {w: 7, o: 9}. What is prob of sequence woww? 9/208 Two letters picked without replacement from cccyyc. Give prob of sequence cc. 2/5 Three letters picked without replacement from ubxfj. What is prob of sequence bux? 1/60 Four letters picked without replacement from {v: 2, f: 3}. What is prob of sequence ffvf? 1/10 Four letters picked without replacement from pvvvvdvcrdpjpd. What is prob of sequence pcdr? 3/8008 Three letters picked without replacement from {n: 4, y: 1, r: 5, s: 3, d: 1}. Give prob of sequence nrs. 5/182 Calculate prob of sequence oo when two letters picked without replacement from {o: 6, n: 2, k: 7}. 1/7 What is prob of sequence ggbw when four letters picked without replacement from {w: 2, g: 4, l: 1, b: 8}? 8/1365 Two letters picked without replacement from zdzmpggh. Give prob of sequence gm. 1/28 Calculate prob of sequence wa when two letters picked without replacement from {u: 2, w: 2, a: 2}. 2/15 What is prob of sequence hmm when three letters picked without replacement from {h: 2, m: 7}? 1/6 Four letters picked without replacement from fjijpfdijbdfiffiff. What is prob of sequence fdfd? 7/6120 Three letters picked without replacement from {e: 13, c: 6}. What is prob of sequence ece? 52/323 What is prob of sequence vcra when four letters picked without replacement from {y: 2, c: 6, r: 1, g: 1, a: 4, v: 1}? 1/1365 What is prob of sequence ffn when three letters picked without replacement from {t: 1, n: 2, f: 2, s: 1}? 1/30 Two letters picked without replacement from cscccccsccpcpcpcsc. What is prob of sequence ss? 1/51 Three letters picked without replacement from {v: 2, k: 1, j: 2}. Give prob of sequence vjv. 1/15 Two letters picked without replacement from {h: 4, j: 2}. What is prob of sequence jh? 4/15 Calculate prob of sequence al when two letters picked without replacement from {a: 2, j: 2, l: 8}. 4/33 Two letters picked without replacement from dohxoxxxxodxh. What is prob of sequence hx? 1/13 What is prob of sequence yqqq when four letters picked without replacement from qyqqyqyyyyyyqy? 45/2002 What is prob of sequence ebgo when four letters picked without replacement from egeongbo? 1/210 Calculate prob of sequence ajmj when four letters picked without replacement from {m: 1, j: 2, s: 1, a: 3, r: 12}. 1/15504 Calculate prob of sequence vc when two letters picked without replacement from vkckrvrckvvkmk. 4/91 Calculate prob of sequence xve when three letters picked without replacement from {x: 8, v: 5, e: 2}. 8/273 What is prob of sequence kqqk when four letters picked without replacement from qqqnkkqk? 3/70 Four letters picked without replacement from {g: 2, p: 1, n: 2}. Give prob of sequence pngg. 1/30 Calculate prob of sequence og when two letters picked without replacement from hhoazzhdghza. 1/132 What is prob of sequence kg when two letters picked without replacement from {y: 1, g: 1, i: 1, k: 2, f: 2}? 1/21 Three letters picked without replacement from qelllqffqlf. Give prob of sequence lle. 2/165 Calculate prob of sequence mm when two letters picked without replacement from {g: 8, x: 2, m: 3, b: 6}. 1/57 Calculate prob of sequence jjz when three letters picked without replacement from {j: 4, z: 15}. 10/323 Two letters picked without replacement from {
{ "pile_set_name": "DM Mathematics" }
y: 7, p: 1, x: 8}. What is prob of picking 2 p? 0 Calculate prob of picking 1 z and 1 y when two letters picked without replacement from zyfzzllyyy. 4/15 What is prob of picking 1 g, 1 m, and 1 z when three letters picked without replacement from {m: 5, g: 1, t: 4, q: 1, z: 5}? 5/112 What is prob of picking 3 e and 1 r when four letters picked without replacement from eeereeeerree? 28/55 Two letters picked without replacement from {u: 4, v: 2, y: 5, d: 4}. Give prob of picking 1 v and 1 y. 2/21 Calculate prob of picking 1 w, 2 l, and 1 h when four letters picked without replacement from hhwjjzll. 1/35 What is prob of picking 2 w when two letters picked without replacement from {w: 10, b: 4}? 45/91 What is prob of picking 1 w and 3 l when four letters picked without replacement from llllllllwllllllllll? 4/19 Calculate prob of picking 1 v, 1 a, and 1 r when three letters picked without replacement from arlvl. 1/10 Three letters picked without replacement from iizihhihkkikii. Give prob of picking 1 i and 2 h. 3/52 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from flggkftofkllllgolfgk. 1/95 Two letters picked without replacement from {k: 8, q: 4, s: 1, i: 2, v: 2, h: 3}. Give prob of picking 1 k and 1 v. 8/95 What is prob of picking 1 h, 1 o, and 1 f when three letters picked without replacement from {h: 1, g: 7, o: 1, f: 8}? 1/85 Three letters picked without replacement from {v: 1, p: 1, q: 1, w: 1, f: 1}. What is prob of picking 1 q, 1 p, and 1 v? 1/10 Calculate prob of picking 1 n, 1 u, and 1 s when three letters picked without replacement from ununnsssasn. 32/165 What is prob of picking 1 u and 1 j when two letters picked without replacement from {a: 1, u: 1, p: 1, j: 1, l: 1}? 1/10 Two letters picked without replacement from {k: 1, l: 3, u: 3, d: 5, o: 6, s: 1}. What is prob of picking 1 k and 1 s? 1/171 What is prob of picking 2 o when two letters picked without replacement from {o: 2, v: 2, w: 1}? 1/10 Two letters picked without replacement from {h: 1, i: 1, e: 1, p: 3, l: 1}. Give prob of picking 1 e and 1 h. 1/21 Calculate prob of picking 2 n when two letters picked without replacement from nnnfsunnfl. 2/9 Three letters picked without replacement from {f: 2, a: 4}. Give prob of picking 1 f and 2 a. 3/5 Two letters picked without replacement from {y: 12, k: 3, w: 1, o: 4}. Give prob of picking 2 k. 3/190 What is prob of picking 1 h, 1 v, and 1 j when three letters picked without replacement from {j: 1, i: 6, h: 1, d: 1, v: 4}? 2/143 Four letters picked without replacement from rrususrseeseeer. Give prob of picking 2 s and 2 u. 2/455 Two letters picked without replacement from {c: 9, z: 9}. Give prob of picking 2 z. 4/17 Two letters picked without replacement from {v: 11, e: 1, r: 1}. What is prob of picking 1 r and 1 v? 11/78 Two letters picked without replacement from uefpe. Give prob of picking 2 e. 1/10 Calculate prob of picking 2 b when two letters picked without replacement from {c: 2, y: 6, b: 3, l: 1}. 1/22 What is prob of picking 3 g and 1 q when four letters picked without replacement from goqfgggggqogefgge? 6/85 Two letters picked without replacement from iccnmsscicsncshccchs. What is prob of picking 2 i? 1/190 Calculate prob of picking 1 x and 3 a when four letters picked without replacement from axaagxag. 4/35 What is prob of picking 4 p when four letters picked without replacement from {p: 5, y: 3}? 1/14 Two letters picked without replacement from {w: 1, e: 3}. What is prob of picking 1 e and 1 w? 1/2 Two letters picked without replacement from lkkkklkdqkdkdqkddkl. Give prob of picking 2 k. 4/19 What is prob of picking 3 n when three letters picked without replacement from {j: 1, n: 3}? 1/4 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {t: 4, n: 3, z: 1}. 3/28 Calculate prob of picking 2 x, 1 e, and 1 s when four letters picked without replacement from {e: 1, c: 1, o: 2, f: 3, s: 1, x: 4}. 2/165 Three letters picked without replacement from {t: 5, r: 4, o: 3}. Give prob of picking 1 t and 2 o. 3/44 Three letters picked without replacement from {k: 7, y: 2, z: 1}. What is prob of picking 2 k and 1 y? 7/20 Three letters picked without replacement from akkkkkaa. What is prob of picking 2 a and 1 k? 15/56 Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {p: 1, j: 1, c: 2, l: 1, u: 1, z: 1}. 1/21 Three letters picked without replacement from rrxxxxrx. What is prob of picking 2 r and 1 x? 15/56 Two letters picked without replacement from {q: 6, a: 12}. Give prob of picking 2 a. 22/51 What is prob of picking 1 x, 1 k, and 2 n when four letters picked without replacement from knkkkkxnnnnkknnnk? 8/85 What is prob of picking 2 z when two letters picked without replacement from {o: 1, z: 11, w: 6, x: 1}? 55/171 Two letters picked without replacement from {q: 6, i: 7, s: 1, j: 4}. What is prob of picking 2 q? 5/51 Calculate prob of picking 1 m and 3 f when four letters picked without replacement from ffmfffmmfmmmffmmmf. 21/85 Calculate prob of picking 1 b and 1 j when two letters picked without replacement from gjngoebe. 1/28 Calculate prob of picking 1 z, 1 n, and 1 d when three letters picked without replacement from {z: 1, n: 1, d: 1, e: 1, v: 1, l: 2}. 1/35 What is prob of picking 2 y when two letters picked without replacement from dyyy? 1/2 Three letters picked without replacement from {e: 4, k: 2, h: 4, a: 2, v: 4, g: 4}. Give prob of picking 1 g and 2 k. 1/285 What is prob of picking 2 q when two letters picked without replacement from qbzq? 1/6 Calculate prob of picking 1 e, 1 q, and 2 l when four letters picked without replacement from {i: 1, l: 3, m: 2, e: 4, q: 1}. 2/55 Calculate prob of picking 1 q and 3 b when four letters picked without replacement from {t: 9, s: 1, b: 3, q: 1}. 1/1001 Two letters picked without replacement from aaaaoaaaaaaaaaavvpuv. Give prob of picking 1 p and 1 a. 7/95 Calculate prob of picking 1 o and 1 z when two letters picked without replacement from hcrcohnroncz. 1/33 Calculate prob of picking 2 b and 1 z when three letters picked without replacement from {m: 1, k: 1, b: 2, z: 1}. 1/10 What is prob of picking 1 y and 1 w when two letters picked without replacement from ahchywl? 1/21 Two letters picked without replacement from {r: 1, f: 1, e: 1, u: 2}. What is prob of picking 1 u and 1 r? 1/5 Three letters picked without replacement from gggg. Give prob of picking 3 g. 1 Four letters picked without replacement from xhxnuxzxzxhhxhxnhx. Give prob of picking 1 h, 1 u, and 2 n. 1/612 Calculate prob of picking 1 w and 1 z when two letters picked without replacement from tzzwt. 1/5 Four letters picked without replacement from {c: 3, z: 4, r: 4, q: 6}. What is prob of picking 4 q? 3/476 What is prob of picking 1 p and 2 j when three letters picked without replacement from pjptjpjtpp? 1/8 Three letters picked without replacement from nnnbbnjnfbndf. Give prob of picking 1 j and 2 b. 3/286 Three letters picked without replacement from {j: 7, p: 5, r: 3, z: 1}. Give prob of picking 1 r and 2 p. 3/56 What is prob of picking 4 e when four letters picked without replacement from ededeeedddeedeeddd? 7/170 Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {d: 2, l: 4}. 8/15 Two letters picked without replacement from {u: 7, h: 2, x: 1, s: 7}. What is prob of picking 1 h and 1 x? 1/68 Three letters picked without replacement from {o: 4, s: 1, r: 3, l: 2, z: 2}. Give prob of picking 2 z and 1 l. 1/110 Two letters picked without replacement from {d: 2, p: 1, s: 1, l: 1, t: 1, q: 1}. What is prob of picking 2 d? 1/21 What is prob of picking 1 u and 1 p when two letters picked without replacement from uuumuutspuuuouutts? 10/153 Two letters picked without replacement from {v: 7, d: 1, i: 4, r: 3, n: 3}. What is prob of picking 1 r and 1 i? 4/51 Four letters picked without replacement from {f: 1, a: 3, x: 2, z: 1, i: 1, u: 3}. What is prob of picking 1 z, 1 u, 1 f, and 1 a? 3/110 Calculate prob of picking 1 a, 1 c, and 1 l when three letters picked without replacement from accaacacacaaaalaa. 11/136 Three letters picked without replacement from jwjwwyjywwwyjw. What is
{ "pile_set_name": "DM Mathematics" }
der. 5, i, -3, -5 Let d be (3 - 6) + -111*1/(-33). Sort d, 8, 3 in increasing order. d, 3, 8 Suppose -12*q = 3*q + 60. Sort 5, -48, q in decreasing order. 5, q, -48 Let k be 2 + 3 - (8 - (-36)/(-9)). Sort -0.9, 2/11, -2, k in increasing order. -2, -0.9, 2/11, k Let m = 2 + -1.7. Let q be (-2 - 7900/(-3945))/(2/3). Let v = q + 503/6049. Put v, m, -1/5 in increasing order. -1/5, v, m Let d(q) = 3*q + 68. Let g be d(-23). Sort g, 0.5, 1/6, 0.072 in decreasing order. 0.5, 1/6, 0.072, g Suppose -7*l - 15 = -12*l. Suppose 21 = -q + 6. Put q, -0.1, l in ascending order. q, -0.1, l Suppose 2*d - 48 = -0*d. Let j = d + -28. Let s be (-3)/j - 45/140. Put -1, s, 0.4 in ascending order. -1, 0.4, s Suppose 40 = 5*p - 60. Let h = p - 19. Let w be -2 + 0 + 2/2. Put w, 5, h in increasing order. w, h, 5 Let t be 0/(2 + (4 - -1)/5). Sort -3, 3, -3/4, t in decreasing order. 3, t, -3/4, -3 Let o = 319 - 326. Put -3, -4, -5, o in increasing order. o, -5, -4, -3 Let g = -327 + 332. Sort g, 9, 0, 3 in decreasing order. 9, g, 3, 0 Let b(w) = -w**3 + w**2 - w + 2. Let g be b(0). Suppose 2*q - g = -3*l - 3, 0 = -q - 3*l + 1. Sort -1, 3, -4, q. -4, q, -1, 3 Suppose 10*b - 151 = -221. Sort 4, b, -1/11 in increasing order. b, -1/11, 4 Let w = -1108.1 - -1108. Put -535, 1/9, w in decreasing order. 1/9, w, -535 Let q = 439/2233 - 3/203. Let a = -10.012 + 0.012. Sort q, a, 5. a, q, 5 Let t = 417 - 417. Put t, 62, 2 in ascending order. t, 2, 62 Let b = -19.68 + 20. Let f = b + 2.68. Let v = -3 - -3. Sort -2, f, v in increasing order. -2, v, f Let o = -1 - -1. Suppose -4*b - w = -9*b - 17, o = -2*b - 5*w - 23. Suppose -8 + 25 = 6*g + 5. Sort 9, b, g in decreasing order. 9, g, b Suppose 0 = 3*p - 3*z - 9, 8*p - 9*p - 3*z = -11. Put 1, p, -1, 0 in increasing order. -1, 0, 1, p Let f be (-35)/10 + 3 + 1. Let y = -34 - 6. Let i = y - -159/4. Put f, -0.5, i in descending order. f, i, -0.5 Let h(i) = -i**3 - 11*i**2 - 23*i. Let l be h(-3). Put l, -0.7, 1/6, 0 in descending order. 1/6, 0, -0.7, l Suppose -3*a + 2*s = 95, -29 = -3*a - 2*s - 132. Let h = -28 - a. Suppose 0*u - 25 = h*u. Sort -2, 2, u in decreasing order. 2, -2, u Let z = -0.022 - 1.978. Put z, -3, 6.3, 5 in decreasing order. 6.3, 5, z, -3 Let v = 8.659 - -0.341. Put -0.5, 0, v in ascending order. -0.5, 0, v Let d be (2/24)/((-2)/4). Let z = 0.2118 + -0.0118. Put z, 1/4, d, 0 in descending order. 1/4, z, 0, d Let p = -108 - -112. Put p, -19, -5, -4 in ascending order. -19, -5, -4, p Let y(l) = -7*l**2 - 2*l + 4. Let t be y(1). Let p be 6/(-27) + 50/(-18). Sort t, -9, p in decreasing order. p, t, -9 Let a = 150 - 25. Let r = -129 + a. Sort r, -8, -3 in descending order. -3, r, -8 Let q be (-75)/6*(-6)/(-3)*-7. Let z be (-7)/(q/20)*-5. Sort -1, 6, z, 1 in descending order. 6, z, 1, -1 Let p = -210.09 - -210. Put p, -7, 3/8 in descending order. 3/8, p, -7 Suppose -c + 2*c - 5 = 0. Suppose 8 = -2*p - x, -5*p - 2*x - 105 = -83. Put c, p, -3 in ascending order. p, -3, c Let t = 626.7 + -627. Sort 1/4, 3/8, -0.15, t in ascending order. t, -0.15, 1/4, 3/8 Suppose -8*o = -19*o - 22. Let f(u) = -u**2 - 5*u - 4. Let x be f(-5). Put 3, x, o in increasing order. x, o, 3 Suppose -11*o + 5 = -10*o. Suppose 4*p = -3*l + 5, o = -4*l - 5*p + 10. Put 2, -8, l in ascending order. -8, l, 2 Suppose 0 = c + 3, -3*c + 25 = 5*m + 2*c. Let v = 2 - 0. Suppose -k = -5*o - 5 - 1, -3*o + k = v. Put 1, o, m in descending order. m, 1, o Let g = 11.5 - -1.5. Let b = 11 - g. Suppose -4*k - p - p + 6 = 0, 15 = 3*p. Put 5, k, b in ascending order. b, k, 5 Suppose -3*h = 5*j - 6, 7*j - 4*j + 4*h = -3. Suppose -t = t + j*t. Suppose o = 4*o + 15. Sort o, t, 5 in descending order. 5, t, o Let k = -13.8 + 5.8. Sort 3/2, 3, 0, k in decreasing order. 3, 3/2, 0, k Suppose 0 = -19*u + 18*u + 3. Put 5, 0.3, u in descending order. 5, u, 0.3 Let c be 3*(-2)/33 - (-60)/(-154). Put 34, 1/3, -3/5, c in decreasing order. 34, 1/3, c, -3/5 Let i = -28.74 + 28. Let w = i + 0.34. Sort -0.5, 6, w in increasing order. -0.5, w, 6 Let l = 69 + -65. Suppose d - 6*d - 5 = 5*x, 5*x - 4 = l*d. Suppose -2*t = 2 + 2. Sort d, t, 0 in ascending order. t, d, 0 Let l be 30/11*(-24)/60. Sort 0.5, 2, l in ascending order. l, 0.5, 2 Let u = -1076 - -1071. Put u, 0, 1, -10 in ascending order. -10, u, 0, 1 Let m = -5 + 7. Suppose 0*j + m*j = -26. Let o = j + 18. Sort 0, 4, o. 0, 4, o Let w(o) = -o + 12. Suppose 2*h - 2*p - 34 = -7*p, 2*p = -h + 16. Let k be w(h). Suppose k = -3*v + 24 + 12. Put -5, 2, v in ascending order. -5, 2, v Let r = -3 + 3.2. Let k = 0.1 - r. Let t = -642 + 640.5. Sort -3, k, t in ascending order. -3, t, k Let n be (7 - 369/54)/(12/(-160)). Sort 2/19, n, -1/4. n, -1/4, 2/19 Let a = -1219 + 1224. Let j = -12 + 8. Put j, -3, a, 2 in decreasing order. a, 2, -3, j Suppose -s = 4*s + 5*u + 280, 2*s + 5*u = -121. Let j = s + 50. Put j, -4, 1 in decreasing order. 1, j, -4 Let q = -54 - -69. Let p = q + -15. Sort 11, -1, p in descending order. 11, p, -1 Let s(y) = -10 + 7*y + 217*y**2 - 213*y**2 + y**3 - 2*y**3. Let f be s(5). Sort 5, f, 1/2, -2/3. -2/3, f, 1/2, 5 Let h be (-34)/(-136) + 2 + 135/(-12). Put -4, h, 4, 7 in increasing order. h, -4, 4, 7 Suppose k = -4*h - h - 2, 0 = h + 1. Let j = -0.28 + -4.72. Let z be (-6)/15 + (-22)/(-80). Put k, z, j in ascending order. j, z, k Let w be (-350)/(-210)*(-12)/110. Sort 0.4, w, -2/3 in descending order. 0.4, w, -2/3 Suppose -4*t + p + 10 = 0, 0 = 3*t + p - 8 - 3. Put t, 11, -3, 0 in ascending order. -3, 0, t, 11 Let q(y) = -y**3 - 5*y**2 + y + 5. Let b = 8 - 13. Let u be q(b). Let k = -0.14 - -0.34. Sort -3, k, u in decreasing order. k, u, -3 Let t(d) = -d**3 - 8*d**2 + 8*d - 7. Let a be t(-9). Let q be (-6)/4 + 2 - (-108)/(-24). Put a, q, -16, -1 in decreasing order. a, -1, q, -16 Let a(j) = 4*j**3 - 8*j**2 - 6*j - 5. Let g(y) = 4*y**3 - 7*y**2 - 5*y - 4. Let u(c) = 5*a(c) - 6*g(c). Let h be u(-1). Let w be 12/10*5/2. Sort w, 0, h. 0, w, h Let o = -2 - 3. Let f = 4 - -29.8. Let b = f + -34. Put o, b, 0.4 in descending order. 0.4, b, o Let p be (-2)/4*6 - -9. Suppose 52 - 48 = -2*n. Sort p, n, 1 in increasing order. n, 1, p Let p = -43 - -47. Let z be (-3)/(-2)*((-42)/9 + p). Put 2/11, z, 4 in decreasing order. 4, 2/11, z Let r be (-1)/4 + 7/(-4). Put r, 8, -4, 4 in descending order. 8, 4, r, -4 Let y = 217 - 4121/19. Let n = 1.6 - 1.87. Let i = n - 0.03. Sort i, 2, y in increasing order. i, y, 2 Let z be 225/(-1485) - (-1 + 4/6). Sort 2/5, z, 1.8. z, 2/5, 1.8 Let q = -3.9684 - 0.0316. Put q, 1/2, -67 in increasing order. -67, q, 1/2 Let d(a) = -9*a**2 + 47*a + 8. Let q be d(5). Sort -0.2, -1/2, q, 1/4. -1/2, -0.2, 1/4, q Let q be 2949*((-55)/315 - 0). Let f = q - -515. Put 4, 0.2, f in ascending order. f, 0.2, 4 Let n(t) = t**3 - 25*t + 2*t**2 - 2*t**3 + 7 + 26*t + t**2. Let m be n(4). Put -1, -2, m in increasing order. m, -2, -1 Suppose n = -5*p + 12, 7*p = 8*p + 2*n + 3. Put -2, p, 4, 374 in ascending order. -2, p, 4, 374 Suppose 2*s - 4 = 4*w - 6, -s = w + 4. Sort -40, s, 3 in descending order. 3, s, -40 Suppose -5 = 2*z + 5*b + 13, -z - 3*b = 9. Sort -3, 1, z, 4. z, -3, 1, 4 Suppose -1517*c - 5 = -1516*c. Put c, -239, 0, -3 in decreasing order. 0, -3, c, -239 Suppose 5*o = 4*y + 10, -3*y = -2*o + 2 + 2. Sort 12, y, 1 in descending order. 12, 1, y Let x = -3157/4 + 789. Sort x, -0.4, 53 in descending order. 53, x, -0.4 Let l be (18/8)/(18/48). Suppose 3*p + 1 = n - 0, l = n - 2*p. Suppose -i - 3*i = -n. Sort 0, i, -2. -2, 0, i Suppose 2*j - 24 = -2*y, -30 + 10 = -5*y. Let u be j/6*(0 + 3). Suppose 3*b = u*k - 7*k + 9, 2*k = 0. Sort 2, b, -3. -3, 2, b Let s = -41.1 - -41.4. Put 0.99, s, 1/6 in decreasing order. 0.99, s, 1/6 Let w(d) = 3*d + 20. Let r be w(-8). Let k = -31 - -47. Let l = k - 11. Sort 0, l, r in increasing order. r, 0, l Suppose -14 = 2*o + 5*g, -o + 0*g = -g - 7. Suppose 0*u - o = -u - 2*c, 4*c = 4*u + 36. Let f be 2/10*2 + 3/(-9). Sort 0.2, u, f in ascending order. u, f, 0.2 Suppose -5*n = -l + 13, -2*n = -l - 2*l + 13. Suppose 0 = l*w + 2*w - 4*z, 3*w - z = -7. Sort w, -2, -7. -7, w, -2 Let j be (30/54)/(75/30) - 2/3. Let s = -2.7 - -3. Sort 3, s, j in decreasing order. 3, s, j Let a(v) = v**3 + 7*v**2 + 7*v + 8. Let d be a(-6). Let w = 0.8 + -1.3. Sort w, 0.2, d. w, 0.2, d Let f = -5 + 3. Let l = 19.2 -
{ "pile_set_name": "DM Mathematics" }
the third derivative of 4*f**4*h*n**2 + 3*f**4*h - 13*f**4*n + 13*f**2*n + 3*f*h*n**2 - f*h - 3*f wrt f. 96*f*h*n**2 + 72*f*h - 312*f*n Find the third derivative of 704*j*x**3 - 2*j*x**2 + 637*j wrt x. 4224*j Differentiate -2*h**3 + 1034*h**2 - 5812 with respect to h. -6*h**2 + 2068*h What is the second derivative of 383*g**3*z**3 + g**3*z**2 + 3*g**3*z - 33*g**3 wrt z? 2298*g**3*z + 2*g**3 Find the second derivative of -2*a**3*l**2 + a**3 + 173*a**2*l - 30*a*l**2 wrt l. -4*a**3 - 60*a What is the third derivative of -o**3*z - 155*o**3 + 243*o**2 + 6*z wrt o? -6*z - 930 Find the second derivative of -34*b**3*d**2*y**2 - 2*b**3*d*y**2 - 3*b**3 + 18*b**2*d**2*y**2 - 133*b**2*d*y**2 wrt d. -68*b**3*y**2 + 36*b**2*y**2 Find the second derivative of c*j**5 - 2584*c*j**2 + 177*c*j wrt j. 20*c*j**3 - 5168*c Find the second derivative of -636*o**5 + 19*o - 5 wrt o. -12720*o**3 What is the second derivative of -3436*b**4 - 3*b**2 + 19449*b? -41232*b**2 - 6 Find the second derivative of 2*c**3*k**4 - 2*c**3 + 4*c**2*k + 2*c*k**4 wrt k. 24*c**3*k**2 + 24*c*k**2 What is the third derivative of -2*h**6 - 52*h**4 - 2*h**3 - 8475*h**2 wrt h? -240*h**3 - 1248*h - 12 What is the second derivative of -14*h**3*q**2 - 2*h**3 + h**2*i**2 - 69*h*i**2*q - 7*i**2*q**2 wrt q? -28*h**3 - 14*i**2 Find the third derivative of -c**5 + 82*c**3*i**2 - c**2*i**2 - 28*c*i**2 + 5*c wrt c. -60*c**2 + 492*i**2 Differentiate 3*q*r + 29*q - 6*r + 12 with respect to q. 3*r + 29 What is the third derivative of -11*m**5*x**2 + 12*m**3*x**3 + 35*m**2*x**3 + 2*m**2*x wrt m? -660*m**2*x**2 + 72*x**3 Differentiate 17*m**3 + 12*m**2 - 104 wrt m. 51*m**2 + 24*m What is the third derivative of -561*h**4 + 34*h**2 - 6 wrt h? -13464*h What is the third derivative of -5*g*q**6 + 33*g*q**4 + 240*g*q**2 + 2*g*q wrt q? -600*g*q**3 + 792*g*q Differentiate -3*h*r**3*x**2 + 53*h*r**2 + h*x**2 + 2*h + 28*x with respect to r. -9*h*r**2*x**2 + 106*h*r Find the second derivative of -168*m**2*y**5 - m**2*y**3 - 12*m**2 + 3*m*y wrt y. -3360*m**2*y**3 - 6*m**2*y Differentiate c**2*m**2*u - 65*c**2*m - 4*c*m*u**2 + 2*m**2*u**2 + 4*m**2 + 2*m wrt u. c**2*m**2 - 8*c*m*u + 4*m**2*u What is the third derivative of 317*f**6 - 22*f**2 - 1? 38040*f**3 Differentiate f**4 - 4*f**3*r*z - 161*f*z + 3*r*z - z + 603 with respect to f. 4*f**3 - 12*f**2*r*z - 161*z What is the second derivative of -565*h**5 - 1521*h + 3? -11300*h**3 Differentiate 2*i**2*t + 3*i**2 + 40*i*t + i + 20*t**2 + t + 222 wrt t. 2*i**2 + 40*i + 40*t + 1 Differentiate -200*u*v**2 - 2*u*v*z + 31*u*z - u + 2*v**2*z with respect to z. -2*u*v + 31*u + 2*v**2 What is the third derivative of 988*i**3*x**2 + 2*i**2 + 60*x**2 wrt i? 5928*x**2 What is the first derivative of 995*b + 895? 995 Find the third derivative of 2*m**6 + 328*m**4 + m**2 + 189*m. 240*m**3 + 7872*m What is the first derivative of 800*f*i + 150*f - 2 wrt i? 800*f What is the derivative of d*g*w - 10*d*g*z**2 + d*g + 31*d*w*z**2 - d*w + 7*g*z**2 wrt w? d*g + 31*d*z**2 - d What is the third derivative of -804*b**3 - 443*b**2? -4824 What is the second derivative of -20*a**2*k**2 + 3*a**2*k - 272*a**2 - 20*a*k**2 wrt k? -40*a**2 - 40*a What is the second derivative of 115*x**5 - 284*x? 2300*x**3 Find the third derivative of 28*d**4*s - 3*d**4 + 2*d**3*s**3 + 433*d**2*s**2 - 2*s**3 wrt d. 672*d*s - 72*d + 12*s**3 What is the derivative of -11*p**2*v - 2*p**2 - 11*p*v + 2*p + 3414*v wrt p? -22*p*v - 4*p - 11*v + 2 Find the second derivative of -295*l**3*u + l**2 - 1251*l - 2*u wrt l. -1770*l*u + 2 What is the third derivative of -3*a**2*q**3 + 478*a**2 - 6*a*q**4 + 2*q**2 wrt q? -18*a**2 - 144*a*q What is the second derivative of -25*m**3*p**2 - 10*m**3*p - 10*m**3 + m**2*p**2 + 10*m**2*p - 14*m*p**5 - 3*p wrt p? -50*m**3 + 2*m**2 - 280*m*p**3 Differentiate 5*i**3*n**4 + 44*i**3*n + 2*i**3 + 140*i**2 wrt n. 20*i**3*n**3 + 44*i**3 Find the second derivative of -23*m**3*z**2 - 52*m**3*z + 13*m**2*z + 23*z**2 wrt z. -46*m**3 + 46 Find the second derivative of 56*u**4 + 2*u**2 + 46*u + 6 wrt u. 672*u**2 + 4 What is the third derivative of 5*q**5 - q**3 + 3*q**2 + 4 wrt q? 300*q**2 - 6 What is the third derivative of -9*d**4 - d**3 + 12*d**2 - 4*d wrt d? -216*d - 6 Find the second derivative of -4*a**2*v*x + a**2*x**2 + a**2 - a*x**2 - a + 26*v*x**2 wrt x. 2*a**2 - 2*a + 52*v What is the first derivative of -340*j*k**3*y**2 - 3*j*k + 496*k**3 wrt y? -680*j*k**3*y What is the derivative of -6*a**2*j**3*p + 2*a**2 - 554*a*j**3 - 3*j**3*p wrt p? -6*a**2*j**3 - 3*j**3 What is the derivative of 10*c**2 - 4*c - 689? 20*c - 4 Differentiate 208*p**3 - 238 with respect to p. 624*p**2 Find the first derivative of 38*q*x**2 + 4*q + 3*x**2 + 2 wrt x. 76*q*x + 6*x Find the third derivative of -3059*p**3 + 5045*p**2 wrt p. -18354 What is the third derivative of 3*a*n**4 + 92*a*n**3 - 5*a*n**2 + 36*a wrt n? 72*a*n + 552*a What is the derivative of l**3 - 4*l**2*t**3 + 13*l**2 + 431*t**3 + 2 wrt l? 3*l**2 - 8*l*t**3 + 26*l What is the second derivative of 2*x**4 - 6242*x**2 + 5503*x? 24*x**2 - 12484 What is the third derivative of 79*j**3*l**4 - 185*j**3*l**2 - 9*l**5 wrt l? 1896*j**3*l - 540*l**2 What is the second derivative of 45*a**2 + 2*a - 268? 90 Find the third derivative of 11*q**2*r**4 + 8*q**2*r + 24*q*r - 46*r**4 - 2*r**3 - 6*r**2 wrt r. 264*q**2*r - 1104*r - 12 Find the third derivative of -141*u**3 - 21*u**2 - 1. -846 Differentiate -z**3 - 166*z**2 + 3*z - 2090 with respect to z. -3*z**2 - 332*z + 3 What is the third derivative of 138*w**5*y - 2*w**4*y + 8*w**2*y + 9*w - 3*y wrt w? 8280*w**2*y - 48*w*y What is the first derivative of -q**2*u*x - 4*q**2*u + 2*q**2 - 12*q + 8*u*x + 2*u + 41*x - 2 wrt u? -q**2*x - 4*q**2 + 8*x + 2 What is the third derivative of 10*g**4 + 47*g**3 - 506*g**2? 240*g + 282 What is the third derivative of -136*b**6 - 161*b**2 wrt b? -16320*b**3 What is the third derivative of -2*k*q**4 - 6*k*q**3 + 176*k*q**2 wrt q? -48*k*q - 36*k Find the second derivative of 14*a**3 - 4*a + 8 wrt a. 84*a Find the third derivative of 22728*i**4 - 6*i**2 - 2169. 545472*i What is the second derivative of -2*c**3*r*x + 11*c**3*r - 2*c**3*x**2 - c**2*x**2 - 20*c*r*x**2 - c*r*x wrt x? -4*c**3 - 2*c**2 - 40*c*r What is the derivative of -2*r**2*t**3 - 1833*r**2 + 492*t**3 - t wrt t? -6*r**2*t**2 + 1476*t**2 - 1 Find the second derivative of -9163*g**2*t - 2*g - 1974*t wrt g. -18326*t Differentiate 153*b**3*p - 410*b**3 with respect to p. 153*b**3 What is the third derivative of -286*j**6 - 32*j**2 + 4*j? -34320*j**3 Differentiate 329*m**2 + 314 wrt m. 658*m Differentiate -8*a*w**2*y**3 - 2*a*w**2 - 3*a*y + 8*w**2*y**3 - 4*w**2*y - 1 with respect to a. -8*w**2*y**3 - 2*w**2 - 3*y What is the derivative of -2*a*f*l + 3*a*l + 23*f*l - 2*f - 7*l wrt f? -2*a*l + 23*l - 2 What is the second derivative of 11*a**3 - 44*a**2 + 5433*a wrt a? 66*a - 88 Differentiate 15*c**2*v - 1265*c**2 + 10*v wrt v. 15*c**2 + 10 Find the third derivative of -38*i**5 + 29*i**4 - 223*i**2 wrt i. -2280*i**2 + 696*i What is the third derivative of -4*l**6 - 8*l**4 - 3*l**2 - l wrt l? -480*l**3 - 192*l What is the third derivative of 2*v**3*x + 3489*v**3 - 489*v**2 + 5*x wrt v? 12*x + 20934 Differentiate -7*a*l - a*y**2 + l**2*y**2 - l**2 + 26*y**2 - 1 wrt y. -2*a*y + 2*l**2*y + 52*y Find the first derivative of -p**4 - 462*p**2 - p + 5102. -4*p**3 - 924*p - 1 What is the second derivative of 9181*b**3 - 4503*b - 2 wrt b? 55086*b Find the second derivative of 4*n**2*o**4 - 5*n**2*o + 2*n**2 - 6*o**4 - 15*o**3 - 19 wrt o. 48*n**2*o**2 - 72*o**2 - 90*o Find the third derivative of -2*k**4*p**3 + 2*k**4 - 5576*k**3 - 114*k**2*p**3 + 21*k**2*p**2 wrt k. -48*k*p**3 + 48*k - 33456 Find the second derivative of 318*m**4 + 3501*m wrt m. 3816*m**2 Find the first derivative of -2*h**4*m + 3*h**4 - 4*h**3 - 2*m + 42 wrt h. -8*h**3*m + 12*h**3 - 12*h**2 Differentiate 3*k*y**4 + 58*k*y**3 + 76*k wrt y. 12*k*y**3 + 174*k*y**2 What is the second derivative of 8*k**2*n**3 + k**2*n**2*o**2 + k**2*o**3 + 5*k*n**3*o**2 - 2*n**3*o**2 + 3*n*o**3 wrt k? 16*n**3 + 2*n**2*o**2 + 2*o**3 Find the first derivative of 1197*q**2 - 712 wrt q. 2394*q Find the second derivative of -2*g**3*n**2 - 1322*g**3*n + 58*g*n**2 - 2*g + n - 2 wrt g. -12*g*n**2
{ "pile_set_name": "DM Mathematics" }
). Let i(v) be the first derivative of 0*v**5 - 2/3*v**3 + 5 + 0*v**2 - 3/2*v**4 + 0*v + 4/3*v**r. Solve i(s) = 0 for s. -1/2, 0, 1 Let u be 4/18 - 116/36. Let y be -2 - ((-93)/(-33) + u) - -2. Factor y*t**2 - 4/11 - 2/11*t. 2*(t - 2)*(t + 1)/11 Let p = 18 + -14. Factor 8 + 12*i**3 - 5*i**4 - 4*i**2 - 4*i**4 + 2*i**4 + 3*i**p - 12*i. -4*(i - 2)*(i - 1)**2*(i + 1) Let n(t) = -t**2 - 94*t - 524. Let h be n(-88). Factor -2/3*w - 1/3*w**2 + 2/3*w**3 + 0 + 1/3*w**h. w*(w - 1)*(w + 1)*(w + 2)/3 Suppose 4*x - o = 49, 0*x = -4*x - o + 47. Let i be (2/2)/((x/16)/3). Suppose 2/7*l**3 - 2/7*l + 0 - 2/7*l**i + 2/7*l**2 = 0. Calculate l. -1, 0, 1 Factor 1/4*i**2 - 4 + 0*i. (i - 4)*(i + 4)/4 Let b = 496 - 496. Let d(w) be the third derivative of -1/96*w**4 - 4*w**2 + 1/120*w**5 + 0*w + 1/480*w**6 + b - 1/12*w**3. Factor d(i). (i - 1)*(i + 1)*(i + 2)/4 Let u(y) be the second derivative of y**2 - 1/2*y**3 - 5*y + 1/12*y**4 + 0. Factor u(c). (c - 2)*(c - 1) Let g(p) be the second derivative of p**4/6 + 46*p**3/3 + 529*p**2 - 4*p - 2. Let g(x) = 0. Calculate x. -23 Solve 266*h + 960*h**2 + 3610 - 1972*h - 25*h**3 - 7699*h = 0 for h. 2/5, 19 Let f(m) be the second derivative of -m**5/5 - 113*m**4/3 - 6496*m**3/3 - 6272*m**2 - 138*m + 2. Find u, given that f(u) = 0. -56, -1 Suppose 3 + 0 = s. Factor -25*c + 95*c**2 + 33*c**3 - 8*c**s - 10 - 85*c**2. 5*(c - 1)*(c + 1)*(5*c + 2) Let d(i) be the third derivative of i**7/840 - 13*i**6/120 + 169*i**5/40 + 5*i**4/12 - 18*i**2. Let z(r) be the second derivative of d(r). Factor z(g). 3*(g - 13)**2 Factor -24*z + 57 - 12 + 9*z - 5*z**3 - 33*z**2 + 8*z**2. -5*(z - 1)*(z + 3)**2 Let r(q) be the first derivative of 5*q**6/2 - 7*q**5 + 25*q**4/6 + 10*q**3/3 - 5*q**2/2 - 5*q/3 + 62. Factor r(h). 5*(h - 1)**3*(3*h + 1)**2/3 Let t(q) be the second derivative of q**5/70 - 9*q**4/7 - 37*q**3/7 - 8*q**2 + 42*q + 1. Solve t(a) = 0. -1, 56 Find a such that -3 + 4*a**5 - 12 - 112*a**2 + 48*a**3 - 32*a**4 - 9 + 40*a**3 + 8 + 68*a = 0. 1, 4 Let k be -3 - (2/7 - (-428)/(-28)). Factor 7*o + o - o**3 + k + 0*o - o**2. -(o - 3)*(o + 2)**2 Let p(h) be the second derivative of -h**5/20 + 5*h**4/12 - 7*h**3/6 + 3*h**2/2 - 70*h. Suppose p(q) = 0. What is q? 1, 3 Let y be (-12)/(-87)*(3/2 - 1). Let s = 110/87 + y. Factor s*c - 2/3 - 2/3*c**2. -2*(c - 1)**2/3 Suppose -422*j + 427*j = 25. Suppose 5*a - 8 = -2*h, a - j*h = -0 + 7. What is z in -1/3*z**3 + 1/6*z + 1/6 + 1/6*z**5 - 1/3*z**a + 1/6*z**4 = 0? -1, 1 Factor 14 + 2/3*f**2 + 20/3*f. 2*(f + 3)*(f + 7)/3 Let n(v) be the first derivative of v**8/1512 - v**6/270 + v**4/108 + 3*v**2 + 13. Let u(x) be the second derivative of n(x). Factor u(c). 2*c*(c - 1)**2*(c + 1)**2/9 Let q(i) be the second derivative of i**4/132 + i**3/11 + 4*i**2/11 - 7*i + 1. Factor q(j). (j + 2)*(j + 4)/11 Let c(f) be the first derivative of 1/15*f**5 + 1/6*f**4 - 2 - 1/3*f + 0*f**3 - 1/3*f**2. What is z in c(z) = 0? -1, 1 Let a(i) be the second derivative of 7*i**4/18 - i**3/3 - 59*i. Factor a(m). 2*m*(7*m - 3)/3 Let c be 15 - 14 - -1*31/1. Factor c*z + 208 + 4*z**2 - 208. 4*z*(z + 8) Let l(d) be the third derivative of 1/120*d**5 + 0*d + 1/120*d**6 - 1/24*d**4 - 10*d**2 - 1/8*d**3 + 1/840*d**7 + 0. Factor l(w). (w - 1)*(w + 1)**2*(w + 3)/4 Let p(m) be the second derivative of 2*m**7/105 + m**6/30 + 10*m**2 + 15*m. Let g(s) be the first derivative of p(s). Factor g(w). 4*w**3*(w + 1) Factor -32/9*i**2 + 8*i**3 - 22/9*i**4 + 0 - 128/9*i + 2/9*i**5. 2*i*(i - 4)**3*(i + 1)/9 Let p(j) be the first derivative of -j**6/45 + 2*j**5/15 + j**4/18 - 4*j**3/9 + 23*j + 37. Let u(l) be the first derivative of p(l). Factor u(y). -2*y*(y - 4)*(y - 1)*(y + 1)/3 Suppose s**2 + 1/3*s**3 + 0*s - 4/3 = 0. What is s? -2, 1 Let f be 12/(-3) + 0 + 8. Suppose 4*x - 4*q = 32, -2*q = 5*x - f*q - 31. Let 0*j - j**3 - 1/3*j**x - 1/3*j**2 + 0 - j**4 = 0. What is j? -1, 0 Find k, given that -40/3 + 5/3*k**2 + 10/3*k = 0. -4, 2 Let d(i) = -4*i - 17. Let a be d(-3). Let o be (-4)/7*(15/6)/a. Determine r, given that -2/7*r**2 + 4/7*r - o = 0. 1 Let k(m) be the third derivative of -m**5/15 - 5*m**4/6 - 8*m**3/3 - 83*m**2 - m. Determine c, given that k(c) = 0. -4, -1 Let g be (-12)/(-16)*(-280)/(-105). Let t(w) be the first derivative of -15/2*w**g - 9 - 3*w**4 - 8*w**3 - 3*w. Suppose t(a) = 0. Calculate a. -1, -1/2 Let k(t) be the third derivative of -t**7/105 - t**6/12 - 7*t**5/30 - t**4/4 - 5*t**2 - 6*t. Factor k(b). -2*b*(b + 1)**2*(b + 3) Let w(g) be the second derivative of g**4/6 - 10*g**3/3 - g + 9. Find x, given that w(x) = 0. 0, 10 Let c(v) be the first derivative of -5*v**4 - 5*v**3 + 40*v**2 + 60*v + 420. Factor c(u). -5*(u - 2)*(u + 2)*(4*u + 3) Let p(k) be the third derivative of 3*k**6/40 + 19*k**5/20 - 13*k**4 + 30*k**3 - 2*k**2 + 29*k. Let p(s) = 0. What is s? -10, 2/3, 3 Let g be (1 - -1 - 5) + (5 - 2). Let q(a) be the first derivative of 3 + 0*a + 2/21*a**3 + g*a**2. Factor q(d). 2*d**2/7 Let z(q) be the first derivative of -1/6*q**3 + 12 + 0*q + 1/2*q**2. Determine y so that z(y) = 0. 0, 2 Determine x, given that 27*x**4 + 15*x**5 - 81*x**3 - 36*x - 20*x**2 - 76*x**2 + 12 - 15*x**2 + 30*x**3 = 0. -2, -1, 1/5, 2 Let h(l) = -l**5 + l**4 + l**3 - l**2 + 1. Let b(q) = -13*q**5 - 3*q**4 + 67*q**3 - 65*q**2 + 6*q + 14. Let s(x) = b(x) - 6*h(x). Factor s(m). -(m - 1)**3*(m + 4)*(7*m + 2) Suppose 15 = -35*d + 120. Let g(m) be the third derivative of 0 + 0*m - 1/6*m**d - 1/240*m**5 - 1/24*m**4 - 11*m**2. Suppose g(c) = 0. What is c? -2 Let v(h) be the first derivative of 2*h**5 + 11*h**4 + 22*h**3 + 20*h**2 + 8*h + 106. Factor v(u). 2*(u + 1)**2*(u + 2)*(5*u + 2) Let i(q) = -4*q**3 - 16*q**2 + 16*q. Let u(g) = -g**2. Let f(z) = -z**3 + 3*z**2 + 3*z + 3. Let s be f(4). Let v(h) = s*i(h) + 16*u(h). Factor v(m). 4*m*(m - 2)*(m + 2) Let m = 4343 + -4339. Factor -m*w - 8 - 1/2*w**2. -(w + 4)**2/2 Suppose 26/3*m**2 - 4/3 + 3*m - 4/3*m**4 + 3*m**3 = 0. What is m? -1, 1/4, 4 Let j = 1436 - 1434. Let o(s) be the first derivative of -1 + 8/15*s**3 + 4/5*s - s**j - 1/10*s**4. Determine m so that o(m) = 0. 1, 2 Let s(x) be the second derivative of x**8/30240 - x**7/5670 - x**6/1080 + x**4/6 - 10*x. Let v(h) be the third derivative of s(h). Factor v(y). 2*y*(y - 3)*(y + 1)/9 Let j(f) be the third derivative of -12*f**2 - 11/6*f**4 - 121/3*f**3 + 0*f - 1/30*f**5 + 0. Factor j(i). -2*(i + 11)**2 Let n = -4625/2 + 2315. Let -2 - 1/2*g**2 - n*g = 0. What is g? -4, -1 Let z = -16 + 17. Factor 2 - z + 6*t**2 - 4 - 5 - 2*t**3. -2*(t - 2)**2*(t + 1) Suppose 4*s - 38 = 2*t, -s + 28 = 4*t - 4. Let v = -9 + s. Factor -8*k + 9*k**3 + 20*k**2 - 25*k**v + 4*k. -4*k*(k - 1)*(4*k - 1) Let r(s) be the first derivative of s**4/30 - s**3/5 - 4*s**2/5 + 4*s - 10. Let g(v) be the first derivative of r(v). Factor g(t). 2*(t - 4)*(t + 1)/5 Suppose 0 = 536*t - 497*t. Factor 4/7*f**4 + 4/7*f**2 + t - 1/7*f**5 - 1/7*f - 6/7*f**3. -f*(f - 1)**4/7 Let t(m) be the first derivative of -m**4/14 - 4*m**3/3 - 64*m**2/7 - 192*m/7 + 17. Factor t(f). -2*(f + 4)**2*(f + 6)/7 Factor 4/5*l**2 + 44/5 + 48/5*l. 4*(l + 1)*(l + 11)/5 Let v(l) be the second derivative of l**5/50 + l**4/15 - 13*l**3/15 + 2*l**2 - 14*l - 3. Factor v(w). 2*(w - 2)*(w - 1)*(w + 5)/5 Let t(x) be the first derivative of 5/4*x**2 - 5/12*x**3 - 42 + 15/4*x. Factor t(u). -5*(u - 3)*(u + 1)/4 Let j be (-6534)/(-858) - 21/3. Factor 10/13*m**3 + 0 - j*m**2 - 2/13*m**4 + 0*m. -2*m**2*(m - 4)*(m - 1)/13 Let i = -596 - -598. Solve 0 + 1/5*b**i - 3/5*b**3 - 1/5*b**4 + 3/5*b = 0 for b. -3, -1, 0, 1 Let l be 12 + (-1644)/66 + 14. Solve 2/11*j**5 + 8/11*j**4 + 2/11*j + 0 + 8/11*j**2 + l*j**3 = 0. -1, 0 Determine k so that 5*k**3 - k**3 - 64*k**2 - 24*k**2 = 0. 0, 22 Let g = -13/14 - -10/7. Let r(t) be the first derivative of -1/2*t - g*t**2 - 1/6*t**3 + 4. Factor r(f). -(f + 1)**2/2 Determine j so that 57/5*j**2 - 63/5*j - 9/5*j**3 + 3 = 0. 1/3, 1, 5 Let d(g) be the first derivative of -g**6/180 + g**4/12 + 2*g**3/3 + 7. Let x(r) be the third derivative of d(r). Find f such that x(f) = 0. -1, 1 Let v be -2*(-1)/(-5)*25. Let r = 13 + v. Factor -38*k**4 - 30*k**r + 16*k**2 - 18*k**2 - 14*k**5 + 8*k - 4*k. -2*k*(k + 1)**3*(7*k - 2) Factor 12/7*s**3 + 0 + 2/7*s + 8/7*s**4 + 8/7*s**2 + 2/7*s**5. 2*s*(s + 1)**4/7 Let v(l) be the first d
{ "pile_set_name": "DM Mathematics" }
erivative of v**4/12 - 5*v**3/6 - 40*v. Let i be (-8)/12 + 23/3. Suppose 2*c - p + 25 = i*c, 5 = -p. Give h(c). 6 Let l(k) = k**2 - 2*k - 2. Let f(w) = 9*w**2 - 8*w - 6. Let b(d) = -f(d) + 3*l(d). What is b(1)? -4 Let a(q) be the second derivative of 0 - 1/30*q**5 - 1/3*q**3 - q + 7/2*q**2 + 1/24*q**4. Let t(y) be the first derivative of a(y). Calculate t(3). -17 Let j(t) be the third derivative of -t**6/120 - t**4/12 - t**3/6 + 42*t**2 + 1. Determine j(2). -13 Let i(t) = 6*t**3 + 4*t**2 + 9*t - 3. Let r(g) = -g**3 - g + 1. Let l be (-1)/3*((-12)/(-4))/1. Let v(u) = l*i(u) - 5*r(u). Give v(-2). -2 Let z(v) = -351*v + 176*v + 9 + 173*v. What is z(5)? -1 Suppose 2 = -3*c + 2*d + 6, -2*c + 3*d = -6. Suppose c = -2*s + s + 15. Suppose -2*i = -j + 6, 5*i - j = 4*j - s. Let u(w) = -w**3 - 3*w**2 + 3*w. Give u(i). -9 Let g(u) = 0*u**2 + 2*u - u**3 + 5 + 3*u**2 + u. Let v(y) = -2*y - 43. Let c be v(-13). Let h = c + 21. Determine g(h). 1 Let f(r) = -2*r**3 - 2*r**2 + 1. Suppose -9*v + 8*v = -3. Suppose b - 9 = -o, -v*b - 2 = -o - 5. Let n be (4/o)/((-14)/21). What is f(n)? 1 Let t(n) = -9 - 5*n**2 + 3*n**2 - n**3 + n + 12 - 7. Calculate t(-4). 24 Let g = 38 - 36. Let a(h) = h + 10*h**g - 10 - 8 + 19 - 3*h. Let j(x) = -x**2 + 5*x + 1. Let i be j(5). Determine a(i). 9 Let h = 3 - -3. Let r be (4/(-2))/(-2)*h. Let y(g) be the third derivative of -g**5/60 + 7*g**4/24 - 4*g**3/3 + 394*g**2 - g. Calculate y(r). -2 Let k(f) = -32*f + 55*f - 26*f + 19. What is k(5)? 4 Let q(f) = -3*f**3 - 3. Let t(i) = 7*i**3 + i**2 + i + 7. Let s(g) = -5*q(g) - 2*t(g). Calculate s(4). 25 Suppose 7*o + 25 = -3. Let t(q) = 6*q - 4. Let w(r) = 5*r - 3. Let s(k) = -3*t(k) + 4*w(k). Give s(o). -8 Let i(d) be the third derivative of d**6/720 - d**5/15 + 11*d**4/24 - 10*d**2. Let w(t) be the second derivative of i(t). What is w(6)? -2 Let j be -2*-2*(-91)/52. Let l(b) be the first derivative of -b**2/2 - 8*b - 2. Calculate l(j). -1 Let j(n) = -3*n**3 - 17*n**2 - 16*n + 23. Let b(v) = -4*v**3 - 25*v**2 - 24*v + 34. Let p(i) = -5*b(i) + 7*j(i). Suppose 2*w = 5*w - 21. Calculate p(w). -2 Let h(d) = d**2 + 7*d - 14. Let b be h(-9). Let w(n) = 0*n**2 + n**2 + 0 - 1 + 3 - 6*n. Determine w(b). -6 Let r(k) = -5*k**3 + 8*k**2 - 6*k - 7. Let u(g) = 11*g**3 - 15*g**2 + 11*g + 14. Let y(a) = -9*r(a) - 4*u(a). Give y(11). -4 Let k(o) = 39*o + 11 - 104*o + 24*o + 38*o. Give k(9). -16 Let r(o) = o**3 + 7*o**2 + 6*o. Let d(v) = v**3 - 2*v**2 - 13*v - 5. Let t be d(5). Suppose 4*s = j - 11 - 13, t*s = -j - 30. Determine r(s). 0 Let g(f) = f**2 + 36*f**3 + 9 + 25*f**3 - 14*f**2 - 62*f**3. What is g(-13)? 9 Suppose 0 = -21*r - 8*r - 174. Let d(y) = 2*y + 18. Calculate d(r). 6 Let x(r) = r**2 + 2*r - 10. Let i = 27 - 23. Suppose -2*h - 1 = -3*a - 28, 25 = -i*a - h. Calculate x(a). 25 Let b(w) = 11*w + 87*w**2 - 39*w**2 + 9 - 49*w**2. Determine b(11). 9 Let x = 269 + -155. Suppose -3*a + 6*a - x = 0. Suppose 5*k - 2*f + a = -0*k, -f = -4. Let c(z) = z**3 + 5*z**2 - 8*z - 5. Calculate c(k). 7 Suppose 15*y = 16*y. Suppose -5*a + y*a = -15. Let u(m) be the third derivative of -m**6/120 + m**5/30 + m**4/12 - m**3/3 - m**2. Determine u(a). -5 Let l(b) = -5*b + 105 - 52 + b**2 - 52. Give l(6). 7 Let b(v) = v - 1. Let t(s) = 8*s + 5. Let z(y) = 4*b(y) + t(y). Determine z(-1). -11 Let f(l) = 11*l + l**3 - 15*l + 15 - l**2 + 6*l**2 + 7*l. Give f(-5). 0 Let q(p) = 3*p**2 + 3*p + 1. Let a = 37 - 35. Let s be (9*a/12)/((-6)/8). What is q(s)? 7 Let r(a) = -a**2 + 9*a - 3. Suppose -36*t = -203 - 85. What is r(t)? 5 Let a(t) be the second derivative of -t**3/6 - 5*t**2/2 - t. Suppose 0 = 3*c - 4*c + 4*j - 3, 0 = 5*c - j + 110. Let f = 23 + c. Determine a(f). -5 Let m(z) = -4*z. Let h(w) = -21*w + 1. Let q(f) = -2*h(f) + 11*m(f). Let v(x) = -x - 8. Let c be v(0). Let p be (-1 - 0)/((-4)/c). Calculate q(p). 2 Let g(a) = 0*a**2 - a**2 + a**3 - 9*a - 207 - 5*a**2 + 214. Determine g(7). -7 Let x = 64 + -70. Let j(z) = -z**3 - 5*z**2 + 11*z + 6. Calculate j(x). -24 Suppose 2*l + 2*s = -13 - 3, -4*l - 25 = -3*s. Let y(k) = -k - 9. What is y(l)? -2 Let o(b) = -b**3 - 66*b**2 - 9. Let c be o(-66). Let y(l) = -l**3 - 8*l**2 + 7*l - 12. Give y(c). 6 Let h(p) = -17*p**3 + 15*p**2 + 9*p - 7. Let y(q) = 14*q**3 - 14*q**2 - 9*q + 7. Let v(t) = -5*h(t) - 6*y(t). Calculate v(-8). -15 Let t(r) = -3*r - 2. Suppose -2*y + 4*y = 4*q - 4, 5*y + 4*q = 4. Let h = -20 + 24. Suppose y = x + x + h. Determine t(x). 4 Let x(r) = -r - 3. Let f be x(-4). Let v be (-38)/(-133) - ((-10)/14 - 1). Let k(c) = c**v + 6 - 1 - 4. Calculate k(f). 2 Let m be 1/(-3) - (-396)/54. Let c(t) = t - 15. Determine c(m). -8 Let l(c) = -3*c**2 - c. Let s be 10/2 + (-16)/4. Give l(s). -4 Let a(c) = -9*c**3 - 21*c**2 + 23*c + 24. Let o(f) = 4*f**3 + 10*f**2 - 11*f - 12. Let n(g) = -3*a(g) - 7*o(g). Calculate n(-8). 12 Let v(j) = -7 + 30*j - 108*j**2 + 7 + j**3 + 97*j**2 - 17*j - 9. Give v(9). -54 Let b(t) = -t**2 + 4*t + 28. Let a(p) = 4*p**2 - 16*p - 112. Let n(u) = -2*a(u) - 9*b(u). What is n(7)? -7 Let u(w) = -14*w**3 - 9*w**2 - 11*w. Let t(k) be the first derivative of 7*k**4/4 + 5*k**3/3 + 3*k**2 + 8. Let o(n) = -11*t(n) - 6*u(n). Give o(1). 6 Let m(d) = -d**3 + 5*d**2 + 2*d + 4. Suppose 0 = 423*s - 417*s - 30. Determine m(s). 14 Let s(x) = x + 5. Let p be s(-3). Suppose 7*q = 2*h + 2*q - 3, -p*q + 2 = 0. Let i(r) = 0 + 5 - r - 2*r - 2. Calculate i(h). -9 Let s(y) be the third derivative of -y**4/12 - 5*y**3/6 + y**2. Suppose 0 = -15*c - 71 - 4. What is s(c)? 5 Let s(l) be the first derivative of l**4/4 + 16*l**3/3 + l**2/2 + 18*l - 255. Calculate s(-16). 2 Suppose 4*y - 10 = -c, -4*c = y + 2*y - 14. Let w(o) = -11*o + 6. What is w(c)? -16 Let g(w) = -2*w + 7. Let x(d) = -2*d + 6. Let o(k) = -5*g(k) + 6*x(k). Let p(i) = -i + 10. Let j be p(7). Give o(j). -5 Let a = -631 - -635. Let u(l) = 3*l**2 - 5*l - 2. Give u(a). 26 Let v = 241 + -230. Let o(b) = b**3 - 10*b**2 - 12*b + 8. Determine o(v). -3 Let p(m) = m**2 + 12*m + 17. Suppose 0 = -2*q - 4*k - 38, q + 3*k = -2*q - 45. Let v be p(q). Let w(z) = z**2 - 10*z. Determine w(v). -24 Let x(o) be the first derivative of 1/20*o**6 + 0*o**3 + 1/60*o**5 + 0*o**4 + 0*o - 1/2*o**2 + 3. Let a(b) be the second derivative of x(b). Determine a(1). 7 Let l be 66 - ((-8)/(-6) - 3/9). Let t = l - 61. Let j(f) = -2*f - 4. Give j(t). -12 Suppose 4*s = -v - 1 - 3, -4*s = -5*v + 4. Let l(h) be the second derivative of -5*h**4/4 - h**2/2 + 2*h. Determine l(s). -16 Let y = -10 + 4. Let v be (-8)/2*(-13)/52. Let a(t) = 19*t - 13*t - 7*t - 3 - v. Determine a(y). 2 Let u(k) = -2*k**3 - 2*k**2 + 2*k + 1. Let j(n) = -7*n**3 + 6*n**2 - 8*n + 27. Let t(x) = -j(x) + 3*u(x). What is t(11)? 9 Let w(s) = 271 - 503 - s**3 - s**2 - 16*s + 249 - 18*s**2. What is w(-18)? -19 Let v(n) = -13*n**3 - 2*n**2 - 3*n - 2. Let g be v(-1). Let p be g/15 + 2/30*3. Let r(t) = -7*t + 1. What is r(p)? -6 Let n(q) be the first derivative of q**2/2 + q + 2. Let u be (-7)/21 + 2/(-3). Let r be n(u). Let x(g) = g - 8. Determine x(r). -8 Suppose 13*s - 23*s = 20. Let l(p) be the third derivative of p**4/12 + p**3/3 + 6*p**2. Give l(s). -2 Let y be 9/(126/4)*21. Let c(g) = -g**2 + y + 26*g - 19*g - 13*g. Give c(-6). 6 Let y = 2 - 0. Let q(v) = -2*v**3 + 5*v - 1. Let p(k) = -k**3 + 2*k - 1. Let m(t) = y*q(t) - 5*p(t). What is m(0)? 3 Suppose -2*j + 15 - 5 = 0. Suppose -w - 1 - j = 0. Let f(u) = -3*u**2 - 45*u - 11. Let l(d) = 2*d**2 + 31*d + 7. Let q(n) = -5*f(n) - 7*l(n). Give q(w). -6 Let g(u) be the third derivative of -u**4/24 + u**3/3 - 583*u**2 - 2*u. Let h be (2 - 1) + (-1)/1. Give g(h). 2 Let y(d) = 2*d**3 - 4*d**2 + 4*d - 2. Let l = 53 + -84. Let w be (-6)/(-18) + l/3. Let t = -8 - w. Give y(t). 6 Let x(p) = -5*p**3 + 4*p + 4. Let g(j) = -6*j**3 + 5*j + 5. Let s(f) = -4*g(f) + 5*x(f). Let m(c) = c**2 - 4*c + 4. Let l be m(3). Calculate s(l). -1 Let a(i) = i**2 + 2*i - 2. Let t be a(1). Let p be 4*5/(-5) + 3/t. Let u(q) = -q**3 + 5*q**3 + q**3 - 1. Give u(p). -6 Suppose -4*b = 3*s - 11, 6 = 4*b - 14. Let z be 5 + -1 + (s - -19). Suppose 16*w - 12*w - z = 0. Let g(i) = i**2 - 3*i - 7. Give g(w). 3 Let g = -170 + 172. Let k(n) = 3*n. Let p(d) = -6*d. Let o(j) = -5*k(j) - 3*p(j). Calculate o(g). 6 Let w = 31 + -33. Let a be 0 + 16/w + 1 + 2. Let d(y) = y**2 + 6
{ "pile_set_name": "DM Mathematics" }
+ 0*t**4 + 0*t**2 - 15/7*t**7 + 0*t + 91 + 0*t**6 + 0*t**5. Find the third derivative of g(i) wrt i. -1800*i**3 Let l(g) = -g**3 + 17*g**2 + 18. Let i be l(17). Suppose z + 6 = -3*u + 4*u, 0 = -5*u + z + i. What is the second derivative of x + 7*x + 2*x**u - 7*x wrt x? 12*x Let k(i) = 3*i**4 + i**2 + i + 5. Let n(q) = -11*q**4 - q**3 + 1483*q**2 + 37*q + 22. Let g(y) = 4*k(y) + n(y). What is the second derivative of g(c) wrt c? 12*c**2 - 6*c + 2974 Suppose 2 = -2*y + 4*i, 15 = -4*i + 3. Let o = y + 14. What is the third derivative of -o + 23*t**3 + 7 + 26*t**2 wrt t? 138 Find the third derivative of 28*a + 1304415*a**2 + 2*a**6 - 1304413*a**2 + 1224*a**5 + 81*a wrt a. 240*a**3 + 73440*a**2 Let a(u) = 4*u + 26. Let k(h) = -14780*h - 8925. Let p(s) = -3*a(s) + k(s). What is the first derivative of p(m) wrt m? -14792 Let c(h) be the first derivative of 9*h**4/4 - 4*h**3/3 - 635*h**2 + 43. What is the second derivative of c(i) wrt i? 54*i - 8 Let t be (-1 - 0) + (7 - 1). Let r(k) = 28*k - 649. Let x be r(24). What is the second derivative of 23*u + x*u - 16*u + 8*u**t wrt u? 160*u**3 Let n(s) = -s**3 - 8*s**2 - 8*s - 15. Let f be n(-8). Let c = f + -28. Find the second derivative of -2*b + 3*b + 2*b + 4*b**5 - c*b**5 wrt b. -340*b**3 Let i(a) = -12*a + 24. Let n(v) = -10*v + 22. Suppose f - 15 = -4*p, 4*f = 3*p - 6*p + 21. Let l(q) = f*n(q) - 2*i(q). What is the derivative of l(b) wrt b? -6 What is the derivative of 4*v**4 + 523*v**3 - 8*v**4 - 46 - 234 - 437*v**3 - 515 wrt v? -16*v**3 + 258*v**2 Let v = -317 - -320. Find the third derivative of 20 - 20 - 50*k**2 + 190*k**2 - 227*k**v wrt k. -1362 Let l(z) be the first derivative of 1627*z**4/4 - 3206*z**3/3 - z - 3078. What is the third derivative of l(w) wrt w? 9762 Let m(v) = -1504*v - 1496*v + 2999*v + 1. Let s(w) = -172*w - 119. Let u(y) = -3*m(y) + s(y). Differentiate u(n) wrt n. -169 What is the derivative of 3*u - 262*u**3 - 3*u + 0*u - 41 + u**2 - 52 wrt u? -786*u**2 + 2*u Suppose 0 = -4*n - 5 + 13. Suppose 4*c = 0, 4*k = 4*c + n + 18. What is the second derivative of 8*f - 9*f**5 + 10*f**5 + 6*f**k wrt f? 140*f**3 Let w(h) be the second derivative of -922*h**3/3 + 815*h**2 + 1407*h + 2. Differentiate w(o) wrt o. -1844 Let m(k) be the first derivative of k**6 + 223*k**3/3 - 2493*k**2/2 - 2013. What is the second derivative of m(u) wrt u? 120*u**3 + 446 What is the third derivative of 608*l**3 + 178*l**3 - 1529*l**3 - 796*l**2 wrt l? -4458 Let q(b) be the second derivative of -2575*b**3/3 - 4977*b**2/2 - 5330*b. What is the derivative of q(x) wrt x? -5150 Find the second derivative of 25 - 5967*o - 2*o**3 - 271*o**5 - 5961*o + 11935*o wrt o. -5420*o**3 - 12*o Let r(c) be the first derivative of -8527*c**2/2 - 2157*c + 2317. What is the derivative of r(f) wrt f? -8527 Let a(l) be the first derivative of 293*l**4/2 + 5*l**3/3 + 83*l**2/2 + 1236. What is the third derivative of a(w) wrt w? 3516 What is the second derivative of -38 + 2*i**4 + 4 + 37 - 91*i + 351*i**2 wrt i? 24*i**2 + 702 Let r be (-22)/(-10) - 0 - (-71)/(-355). Find the third derivative of -4*q**4 + 115*q**2 - 2*q**3 + 2*q**4 - 44*q**r wrt q. -48*q - 12 What is the second derivative of 581*f + 127*f**4 - 2*f**2 - 314567*f**3 + 157287*f**3 + 157281*f**3 wrt f? 1524*f**2 + 6*f - 4 Let u(t) be the first derivative of 16*t + 43/2*t**2 - 39. Find the first derivative of u(c) wrt c. 43 Suppose 0 = -5*i + 5*k + 45, -i + 3*k - k + 7 = 0. What is the third derivative of -236*z**4 + 0*z + 10*z + i*z + 4*z + z + z**2 wrt z? -5664*z What is the second derivative of 982*j - 467*j - 1149*j**2 + 1 - 488*j wrt j? -2298 Find the third derivative of 4608*p**2 - 61*p**5 - 13870*p**4 + 3330*p**2 + 3*p**3 + 156*p**5 + 13864*p**4 wrt p. 5700*p**2 - 144*p + 18 Suppose -36 = -4*z + 4*o, -z - 4*o + 40 = 21. What is the second derivative of z*i + 5*i - 10*i + 12*i**2 wrt i? 24 Let g(v) = 125*v**2 + 70*v - 9. Let j(w) = 35*w + 2 + 15*w**2 - 3*w**2 - 6 + 50*w**2. Let m(u) = -2*g(u) + 5*j(u). Find the second derivative of m(z) wrt z. 120 Let d(x) be the third derivative of 1/5*x**5 + 0 + 0*x - 1/12*x**4 + 97/6*x**3 - 43*x**2. Differentiate d(i) wrt i. 24*i - 2 Let r(h) = 4*h - 1. Let g be r(1). Suppose -5*o + 4*x + 152 = 0, -30*o + 27*o = -4*x - 96. Find the first derivative of -28*w**g - o + 43*w - 43*w wrt w. -84*w**2 Suppose 20 = -24*d + 19*d. Let r be d/(-2)*(15/10)/1. What is the second derivative of 22*i - 32*i + 0*i**3 + 0*i**r + 28*i**4 wrt i? 336*i**2 Let b(w) = -6*w**2 - 4*w + 22. Let y(v) = -21*v - 27*v**2 - 441 - 4*v**2 + 551. Let o(j) = 11*b(j) - 2*y(j). What is the first derivative of o(m) wrt m? -8*m - 2 Suppose -20*g + 30 = -15*g. Suppose b + 63 = 5*k, -21 = -g*k + 4*k - b. What is the second derivative of 4*u**3 - 16*u**3 - 31*u - 29*u**4 + k*u**3 wrt u? -348*u**2 Suppose -3*h - 3*z - 15 = -6*z, -5 = -3*h - z. Find the second derivative of 27 + 36*v + h*v**3 + 4*v**3 + 9*v**4 - 27 wrt v. 108*v**2 + 24*v Differentiate -3405*r + 1245*r + 1136 - 3*r**2 + 1178*r + r**2 + 1228*r wrt r. -4*r + 246 What is the third derivative of -1108*c - 840*c**3 - 2831*c**2 + 1106*c - 14706*c**3 wrt c? -93276 Let l(y) be the first derivative of 40*y**4 + 2*y**3/3 - y**2/2 - 16*y - 810. What is the second derivative of l(z) wrt z? 960*z + 4 Suppose 5*q + 5*r - 4*r - 1941 = 0, 3*q + 5*r - 1147 = 0. Find the second derivative of -408*l - 342*l + 1296*l + 17*l**2 - 82*l**2 - q*l wrt l. -130 Let h(a) be the first derivative of -23 + 6*a + 35/2*a**2. What is the first derivative of h(x) wrt x? 35 Let z(i) = 3*i**2 + 13*i + 18. Let u be z(-5). Differentiate 201*h**3 - 33 + u*h**4 - 199*h**3 - 20 + 4*h**4 wrt h. 128*h**3 + 6*h**2 Let s(v) be the first derivative of 253*v**5/5 + 9*v**2/2 + v + 415. What is the second derivative of s(h) wrt h? 3036*h**2 Let m(s) = s**3 - 8*s**2 - 14*s - 24. Let h be m(10). Find the second derivative of 86*z**3 + h - 2*z**3 + 433*z - 432*z wrt z. 504*z Let f be (-5)/((-10)/72)*(-369)/(-82). Let a = f - 93. What is the second derivative of 11*k**2 + a*k - 17*k + 0*k**2 wrt k? 22 Let h(n) be the third derivative of -20*n**2 + 0*n - 1/3*n**3 + 0*n**5 + 0*n**6 + 1/8*n**4 + 4/105*n**7 + 0. Find the second derivative of h(s) wrt s. 96*s**2 Let s(u) be the first derivative of 55*u**2 - 3568*u - 1913. What is the derivative of s(a) wrt a? 110 Let d(w) = -w - 8. Let p be d(-15). What is the second derivative of -20*a**2 - 23*a**2 + 4*a - 2*a + p + a wrt a? -86 Let j(y) be the first derivative of 46*y**5/5 + 69*y**2/2 + 278*y + 162. Let f(p) be the first derivative of j(p). Find the first derivative of f(z) wrt z. 552*z**2 Let l(w) = -3*w - 1131. Let s be l(0). Let x be s/(-26)*(-8)/(-3). Find the second derivative of x - 116 - 17*i**5 - 35*i wrt i. -340*i**3 Let m(i) be the second derivative of 0 + 0*i**4 - 111*i + 0*i**5 + 53/30*i**6 - 19/6*i**3 + 0*i**2. Find the second derivative of m(o) wrt o. 636*o**2 Suppose -w - 4*x - 1 = 1, -w - 3*x = 0. Let p be (4/(-3))/((-2)/w). Find the second derivative of -6*g**4 - g**p + 92*g**2 + 23*g - 92*g**2 wrt g. -84*g**2 Let r(n) be the first derivative of -1063*n**6/6 - 119*n**3/3 - 3*n**2/2 - 2*n - 4532. Find the third derivative of r(m) wrt m. -63780*m**2 What is the third derivative of 346*g**2 - 2191*g**2 - 61499*g - 2 + 61499*g + 4446*g**3 wrt g? 26676 Let b(o) = -o**4 + 4*o**3 - 31*o**2 + 1625. Let p(j) = j**3 - j**2 - 3. Let d(g) = b(g) - 4*p(g). What is the first derivative of d(q) wrt q? -4*q**3 - 54*q Suppose -4*o - 292 = -6*o. Let q = o - 125. What is the third derivative of -4*r**2 + 6*r**5 + q*r**2 - 2*r**2 + 8*r**5 wrt r? 840*r**2 Let y = -22 - -41. Suppose 4*a - y = -3. Find the second derivative of -11*s**4 + 4*s**3 - a*s**3 - 4*s**4 - 10*s wrt s. -180*s**2 Let b = 167 + -165. Find the third derivative of -1 + 5*d**5 - 28*d**5 - 12*d**2 - 44*d**b wrt d. -1380*d**2 Let n(q) be the third derivative of -37*q**2 + 0*q**4 + 0*q - 1/3*q**3 + 3 + 37/60*q**5 + 7/24*q**6. Find the third derivative of n(k) wrt k. 210 What is the third derivative of -51117*r**2 - 4542*r**6 - 2*r**4 - 3*r**4 + 51118*r**2 + 5*r**4 + 269*r - 14 wrt r? -545040*r**3 Let y(s) be the second derivative of -2260*s**3/3 - 3375*s**2/2 + 2876*s. Differentiate y(z) wrt z. -4520 Let m(w) = 2*w**3 + 20*w**2 - 3*w + 21. Let o b
{ "pile_set_name": "DM Mathematics" }
+ 2 Let j(t) = -11*t**2 + 37*t + 9. Let q(f) be the second derivative of -f**4/2 + 3*f**3 + 5*f**2/2 + 12047*f. Determine 4*j(x) - 7*q(x). -2*x**2 + 22*x + 1 Let y(v) = -v**2 + 2*v - 6. Let c(i) = 5*i**2 - 9*i + 25. Let r = 2691 + -2682. Give r*y(u) + 2*c(u). u**2 - 4 Let o(h) = -26 + 28*h + 26*h - 61*h. Let j be o(-5). Let z(k) = 13*k**3 + 9*k - 9. Let u(m) = 6*m**3 + 4*m - 4. Give j*u(d) - 4*z(d). 2*d**3 Let k(p) = 4 + 11*p - 8 - 5*p**2 - 7. Let c(i) = 3*i**2 - 6*i + 6. Suppose 173*q = 168*q + 16*n - 243, -5*n = -65. What is q*c(f) - 4*k(f)? -f**2 - 2*f + 2 Let g(d) = 10 - 7 - 337*d + 336*d + 4*d**3. Let b(c) = c**3 + 1. Give 3*b(m) - g(m). -m**3 + m Let c(k) = -2*k**2 + k. Let a(r) = r**3 + 18*r**2 - 9*r - 709. Determine -2*a(p) - 18*c(p). -2*p**3 + 1418 Let p = -30556 - -30550. Let t(g) = -9*g - 8. Let q(x) = 17*x + 17. Determine p*q(w) - 13*t(w). 15*w + 2 Let y(r) = -r**2 - 1. Let s(w) = -2*w**2 - 5. Suppose -233 = 26*c - 389. What is c*y(m) - 2*s(m)? -2*m**2 + 4 Let k(g) = -628*g - 176. Let x(y) = 315*y + 71. Give -2*k(f) - 5*x(f). -319*f - 3 Let m(p) = -p**2 - p. Let t(c) = -3*c**3 + 5*c**2 + 5*c. Let f = 47 - -88. Let h = 132 - f. What is h*m(k) - t(k)? 3*k**3 - 2*k**2 - 2*k Let n(z) = -8*z + 20. Let x be n(8). Let p = -42 - x. Let m(b) = -3. Let w(s) = s - 5. Determine p*w(q) - 5*m(q). 2*q + 5 Let u(c) = 2 + 152*c - 3 + 152*c - 305*c. Let n(l) = l**3 + 2*l**2 - 7*l + 2. What is n(k) + 2*u(k)? k**3 + 2*k**2 - 9*k Let g(a) = -8*a**3 - 5*a**2 - 6*a - 38. Let n(z) = -z**3 - z**2 - z - 1. Suppose -i + 5*d + 6 = -23, 0 = -i - d - 7. What is i*g(q) + 6*n(q)? 2*q**3 - q**2 + 32 Let a be (-28)/15 - ((-365)/75 + (4 - -1)). Let w(v) = -7*v + 3. Let m(s) = 6*s - 2. Calculate a*w(u) - 3*m(u). -4*u Let s(y) = -y**3 + 12*y**2 + 2*y - 368. Let p(j) = -2*j**3 + 27*j**2 + 4*j - 735. What is 4*p(k) - 9*s(k)? k**3 - 2*k + 372 Let x(t) = 32*t**2 + 46*t - 16. Let q(o) = 27*o**2 + 45*o - 14. Calculate -6*q(w) + 5*x(w). -2*w**2 - 40*w + 4 Let f(m) = -3*m - 119417 + 119406 - m - m. Let s(d) = d + 1. What is -f(r) - 4*s(r)? r + 7 Let m(x) = -192141*x + 2442. Let j(q) = -315*q + 4. Give 3663*j(d) - 6*m(d). -999*d Let c(m) = -3*m**2 - 439*m - 16. Let b(d) = d + 2. Give 8*b(h) + c(h). -3*h**2 - 431*h Let s(q) = -4*q**2 - q - 5. Let r(h) = -11*h**2 + 233*h - 1228. Let d be r(11). Let l(c) = 3. Let u(m) = 1. Let y(p) = 2*l(p) - 5*u(p). Calculate d*y(n) + s(n). -4*n**2 - n - 1 Let a be (((-264)/(-16))/(-33))/(1/(-10)). Let t(n) = -11*n**2 + 2. Let l(f) = 10*f**2 - 2. What is a*t(r) + 4*l(r)? -15*r**2 + 2 Let w(t) = -9*t**3 + 10*t**2 + 3*t - 9. Let j(a) = -6*a**3 + 12*a**2 + 3*a - 11. Give -4*j(o) + 5*w(o). -21*o**3 + 2*o**2 + 3*o - 1 Let a(k) = -56*k**2 + 11*k. Let i(y) = 19*y**2 - 4*y. Suppose 40*u + 1120 = -240*u. What is u*a(w) - 11*i(w)? 15*w**2 Let p(h) = -122025*h + 756. Let r(g) = -14356*g + 90. What is 5*p(a) - 42*r(a)? -7173*a Let v(f) = 3*f**3 + 7*f**2 + f - 5. Let p(z) = -2*z**3 - 28*z**2 - 80*z + 132. Let n be p(-7). Let i(d) = 4*d**3 + 8*d**2 + d - 6. What is n*v(l) - 5*i(l)? -2*l**3 + 2*l**2 + l Let z(x) = -57*x**2 - 4*x + 8. Let g(a) = -116*a**2 - 9*a + 19. Calculate -4*g(y) + 9*z(y). -49*y**2 - 4 Let j(d) = -d + 297 + d**2 + 276 - 573. Let x(m) = 4*m**2 - 6*m - 19. What is 6*j(q) - x(q)? 2*q**2 + 19 Let t(g) = -14*g - 16037. Let b(v) = 6*v + 8031. Calculate -5*b(n) - 2*t(n). -2*n - 8081 Let f(d) = -7*d**2 + 3*d + 456. Let v(o) = 8*o**2 - 4*o - 455. What is 4*f(i) + 3*v(i)? -4*i**2 + 459 Let j(q) = -1 + 5 + 1 - 11*q + 11*q + 2*q**2. Let p(y) = -y**2 - 6*y - 8. Let k be p(-5). Let h(d) = -15 - 6*d**2 + 5 - 6. Determine k*h(o) - 10*j(o). -2*o**2 - 2 Let h(n) = -n + 4. Let l(v) = 4 - 4 + v. Let f(j) = 3. Let p(w) = f(w) - l(w). Let g = 18205 + -18209. What is g*p(y) + 3*h(y)? y Let y = -40 - -38. Let m be 5 + -14 - (y - 13). Let n(h) = -h. Let o(a) = 4*a + 7. What is m*n(u) + o(u)? -2*u + 7 Let m = 4078 + -4084. Let x(y) = 8*y**2 - 3*y - 3. Let k(q) = -136*q**2 + 52*q + 52. Give m*k(v) - 104*x(v). -16*v**2 Let r(g) = 1. Suppose -n = -2 - 1. Let u = -42 - -45. Let f(x) = u*x + 2 - 2*x - 1. What is n*f(b) - 3*r(b)? 3*b Let u(o) = 23*o**2 + 81*o + 71. Let r(t) = -6*t**2 - 21*t - 19. Let d(h) = -19*r(h) - 5*u(h). Let n(f) = 5*f - 6 + 2 - 1. What is -5*d(y) - 6*n(y)? 5*y**2 Let y(b) = -5*b**2 + 12*b. Let i(u) = -6*u**2 + 16*u - 1. Give 4*i(a) - 5*y(a). a**2 + 4*a - 4 Let d(w) = 22*w + 2. Let j = -13275 + 13263. Let k(p) = -9*p - 1. What is j*k(h) - 5*d(h)? -2*h + 2 Suppose 53 - 19 = 11*d - 43. Let v(j) = j**2 - 9*j - 1. Let p(w) = 5*w + 1. Determine d*p(b) + 4*v(b). 4*b**2 - b + 3 Let s(x) = -5*x**3 + 4*x**2 - 6. Let c(m) = -6 + 296*m**3 + 5*m**2 - 290*m**3 - 11*m**3. Calculate -4*c(n) + 5*s(n). -5*n**3 - 6 Let p be ((-46842)/1055)/(1 + (-17)/20). Let u = -301 - p. Let r(c) = -5*c + 2*c + 1 + 7*c. Let w(a) = -9*a - 3. What is u*r(y) - 2*w(y)? -2*y + 1 Suppose -20 = -5*o + 4*n, -3*n + 5*n + 20 = 5*o. Let k(u) = -4*u**2 + 6. Let t(b) = -500*b**2 - 2*b + 495*b**2 + 7 + 2*b. Determine o*k(g) - 3*t(g). -g**2 + 3 Let f(t) be the second derivative of t**3/6 - t - 395. Let o(b) = 3*b + 0*b - 5*b + 4*b. Calculate -5*f(c) + 3*o(c). c Let l(h) = h - 1. Let y(b) = -b. Let s(f) = l(f) - 3*y(f). Let g(o) be the third derivative of o**4/8 - o**3/6 - 2*o**2 - 104*o. Give -7*g(p) + 5*s(p). -p + 2 Let z(h) = -4*h + 14. Let l(s) = s - 3. Let d = -7468 + 7482. Determine d*l(p) + 3*z(p). 2*p Let d = -1 + 2. Let w(k) = k**3 - k**2. Let v(r) be the second derivative of -1/12*r**4 + 0 + 0*r**2 - 17*r + 1/20*r**5 + 0*r**3. What is d*w(b) - 2*v(b)? -b**3 + b**2 Let z(t) = -5*t + 36. Let m = 1740 - 1744. Let p(d) = -3*d + 18. What is m*z(u) + 7*p(u)? -u - 18 Suppose -z = -2*m + 3, 10*m + 3 = -2*z + 13*m. Let r(j) = -709*j + 352*j + 355*j - z. Suppose -4*p + 13 + 7 = 0. Let c(t) = 3*t + 4. What is p*r(n) + 4*c(n)? 2*n + 1 Let x(r) be the third derivative of r**5/15 + r**4/8 - r**3/3 - 365*r**2. Suppose -5*d + 12 = d. Let z(j) = -17*j**2 - 12*j + 8. Calculate d*z(w) + 9*x(w). 2*w**2 + 3*w - 2 Let z(f) = 6*f - 2. Let p(v) be the first derivative of 7*v**2/2 - v + 1965. Determine -3*p(h) + 4*z(h). 3*h - 5 Let n(r) = -18*r**3 - 80*r**2 - 10*r - 2. Let d(p) = 2*p**3 + 9*p**2 + p. Calculate 26*d(m) + 3*n(m). -2*m**3 - 6*m**2 - 4*m - 6 Let q(i) = i**3 - 2*i**2 - 60*i + 3. Let a(k) = k**3 - 2*k**2 - 58*k + 2. Determine -5*a(w) + 4*q(w). -w**3 + 2*w**2 + 50*w + 2 Let m(j) = -2*j**3 + 2*j**2 - 2*j. Let v(t) = -3*t**2 + 8*t**3 + 46*t + 37*t - 74*t - 6*t**2. What is -9*m(a) - 2*v(a)? 2*a**3 Let r(c) = 10. Let q(v) = 5*v - 56. What is q(o) + 5*r(o)? 5*o - 6 Let p(z) = -49*z + 16. Let i(y) = -263*y + 81. Calculate 2*i(f) - 11*p(f). 13*f - 14 Let z(p) = -p**3 + p**2 - 1. Suppose 5*d = -17*t + 14*t - 8, -16 = -3*t + d. Let s(n) = -6*n**3 + 4*n**2 - 4. Determine t*z(u) - s(u). 2*u**3 Let f(g) = -g**3 - g**2 - 1. Suppose 148*i = 145*i + 15. Let t(u) = -i*u**2 - 3*u**3 + u**2 - 38 + 32. Give 5*f(a) - t(a). -2*a**3 - a**2 + 1 Let j(g) = -6*g**3 - 2. Let v be (-12)/30 + 4/10. Suppose 18 = -5*a + 28. Suppose x + a - 1 = v. Let i(s) = s**3 + 1. Determine x*j(h) - 2*i(h). 4*h**3 Let u(x) = 57*x. Let d(r) = 313*r. Let h(w) = 2*d(w) - 11*u(w). Let n(m) = 4*m + 6. What is -10*h(p) - 2*n(p)? 2*p - 12 Let h(p) = -3*p**3 - 6*p**2 - 5*p - 11. Suppose 101*g - 144 = 462. Let u(j) = 3*j**3 + 7*j**2 + 6*j + 12. Calculate g*u(m) + 7*h(m). -3*m**3 + m - 5 Let b(x) be the second derivative of x**3/3 + x. Let s(z) = 107*z**2 + 11*z. Let d(f) = -43*f**2 - 5*f. Let r(l) = -5*d(l) - 2*s(l). Calculate 6*b(i) - 4*r(i). -4*i**2 Let h(c) = 14*c - 1. Let m(v) = 41*v - 68. Let w(o) = 29*o - 48. Let y(i) = 12*m(i) - 17*w(i). Determine -h(t) - 4*y(t). -10*t + 1 Let u(b) = -2*b**3 - 5*b**2 - b + 3. Let j = 21061 - 21056. Let t(y) = 3*y**3 + 5*y**2 + y - 4. Calculate j*u(k) + 4*t(k). 2*k**3 - 5*k**2 - k - 1 Let a(y) = -7*y**3 - 7*y**2 - 4*y + 1. Let s = 3683 + -3679. Let o(r) = 13*r**3 + 13*r**2 + 7*r - 2. What is s*o(n) + 7*a(n)? 3*n**3 + 3*n**2 - 1 Let r(g) = 3*g**2 - 10. Let w = -23184 - -23166. Let q(y) = y**2 - 1. Calculate w*q(l) + 2*r(l). -12*l**2 - 2 Let g = 357 + -350. Let y(x) = 58*x - 6. Let o(j) = 19*j - 2. Calculate g*o(d) - 2*y(d). 17*d - 2 Let m(o) = -o**2 + 10*o - 65. Let x(f) = -4*f**2 + 56*f - 328. Determine -11*m(
{ "pile_set_name": "DM Mathematics" }
fy g*g/(g/(g/g**3*g))*g**(2/5)*g*(g*g/((g*g/(g/g**1))/g))**(1/37) assuming g is positive. g**(264/185) Simplify m/(m/m**(-1/4))*m/(((m*m*m**24)/m)/m) assuming m is positive. m**(-93/4) Simplify (o/(o/(o*o*o**2*o*o))*o)/(o**7*o)*((o*o**1/o)/o)**(9/11) assuming o is positive. 1/o Simplify ((c/c**(-4))/(c*c**(-6)))/(c**(1/3)*c*c*c*(c/(c*c**1/c*c))/c) assuming c is positive. c**(26/3) Simplify (s**(-1/4))**(2/33)*(s**(1/4))**(-21) assuming s is positive. s**(-695/132) Simplify (k/k**(2/3))/(k*k**3*k*k)*k**(-5)/k**(2/3) assuming k is positive. k**(-34/3) Simplify (t/((t/(t/(t*t*((t/t**(-1)*t)/t)/t)))/t)*t*t**(-7))**47 assuming t is positive. t**(-329) Simplify (m/(m*m*m**(1/4))*m**(-6))/((m/(m/((m/(m*m**(-7)*m))/m)*m))/((m*m**(2/7)*m)/m)) assuming m is positive. m**(-279/28) Simplify (h**(-27)*h)/(h**(-1)*h) assuming h is positive. h**(-26) Simplify g/(g*g/((g*((g**(1/11)*g*g*g)/g)/g)/g*g*g)*g)*g*g**(-15) assuming g is positive. g**(-142/11) Simplify q**(-2)*q**1*(q**(-1/3))**8 assuming q is positive. q**(-11/3) Simplify (((k**(2/45)*k)/k)/k**(-6/11))**(-2) assuming k is positive. k**(-584/495) Simplify (v**0)**(-31)/(v**(-1)*v)**(2/31) assuming v is positive. 1 Simplify ((w**(-6))**(1/5))**(-2/85) assuming w is positive. w**(12/425) Simplify (k**(-2))**(-3/19)*k**2/(k/(k*k*k/((k/k**(-2/35))/k)*k)) assuming k is positive. k**(3497/665) Simplify (d**9/d*d)**(-2/3) assuming d is positive. d**(-6) Simplify (f*f**(6/11)/f*(f**1/f)/f)/(f**(1/3)*(f**(-10)/f)/f) assuming f is positive. f**(370/33) Simplify t**3*t*t/(t*(t/(t**(-3/4)/t*t))/t)*(t**(1/4))**(-43) assuming t is positive. t**(-15/2) Simplify (c*c*c*c**1*c*c)/c*c**(2/3)*(c*c/(c**(-1/5)/c))/(((c*(((c**(1/5)*c)/c)/c)/c*c)/c)/c) assuming c is positive. c**(32/3) Simplify (l/(l/(l*l*l**(2/7)/l))*l*l)**(3/4)/(l**(-2/3))**(-2/75) assuming l is positive. l**(15413/6300) Simplify (t/t**(5/9))/(t*(t*t/(t*t*t**(-36)*t*t))/t*t) assuming t is positive. t**(-311/9) Simplify (d*d**(-1/2)*d/(d**(-2)*d))/((d**(-3)/d)/d**(-2)) assuming d is positive. d**(9/2) Simplify (g**(-1/2)*g/(g*g**9*g*g))**11 assuming g is positive. g**(-253/2) Simplify (((((r*r/((r/r**(2/7))/r))/r)/r)/r)**(-28))**(-9/2) assuming r is positive. r**(-90) Simplify (z*z**(10/7)*z**(1/9))**34 assuming z is positive. z**(5440/63) Simplify ((g**(1/12)*g*g*g)/(g*(g/(g/(g*g**(-3/14))))/g))**(13/8) assuming g is positive. g**(2509/672) Simplify t**45/t**26 assuming t is positive. t**19 Simplify (d**(1/14)/d*d)**48 assuming d is positive. d**(24/7) Simplify ((v/((v/(v*v*v**(-7)*v)*v)/v))/v*(v/(v/(((v*v*v**0)/v)/v)))/v)/(v**5*v*v**9*v*v) assuming v is positive. v**(-23) Simplify w/(w**(2/3)*w)*w/((w*w**1*w)/w)*w**1*(w*(w*w**(1/8))/w*w*w)/w assuming w is positive. w**(35/24) Simplify (p*p/((p*p**(-2/5))/p))/(p**(-1/13)/p*p*p)*(p**6/p)/p*p*(p/(p/(p*((p**(3/5)/p)/p*p)/p)))/p assuming p is positive. p**(66/13) Simplify (a/(a**(-11/5)*a*a))/a**(-3/4) assuming a is positive. a**(39/20) Simplify (h**(2/5)/h)**(1/33)*(h**(-1))**(1/2) assuming h is positive. h**(-57/110) Simplify (l*l/l**(-2/5))/(l/l**10) assuming l is positive. l**(57/5) Simplify a**(9/5)*((a**(-5/4)*a)/a)/a assuming a is positive. a**(-9/20) Simplify (b/b**(1/2))/(b**(3/31)/b) assuming b is positive. b**(87/62) Simplify (x*x*x/x**(3/7))**(3/19) assuming x is positive. x**(54/133) Simplify (q/((q/(q**1/q)*q)/q*q)*q)**(-18)*((q/(((q**(-3)/q)/q)/q))/q)/q*q*(q*q**(2/11))/q assuming q is positive. q**(68/11) Simplify w*w**(-2)*w/((((w/w**(1/4))/w)/w)/w)*w**(5/3)/w**(-1) assuming w is positive. w**(59/12) Simplify (s*s**(2/15)*s*s/s**8)**41 assuming s is positive. s**(-2993/15) Simplify (x**(-1))**(-29)/(x/((x**(1/6)*x)/x)*x*x*x*x**(-2)) assuming x is positive. x**(163/6) Simplify ((t/(t/(t*t*t/(((t/(((t*t**(1/2))/t)/t))/t)/t))))**(-23))**(-47) assuming t is positive. t**(7567/2) Simplify (r/r**(-6/5))/r*r**8 assuming r is positive. r**(46/5) Simplify (((((o*o*o/o**(-4))/o)/o)/o)**(-19))**(-1/32) assuming o is positive. o**(19/8) Simplify (i/i**(-4/11)*i)/i*i**19*i assuming i is positive. i**(235/11) Simplify l**(-2/23)*l**(4/3)*l*(l/(l**(3/5)*l))**(-44) assuming l is positive. l**(9883/345) Simplify ((d*d**(2/15)/d)**(-1/10))**(-30) assuming d is positive. d**(2/5) Simplify ((n*n/(((n/(n*n**(7/5))*n*n)/n)/n))/n)/(n**(1/18)/n) assuming n is positive. n**(301/90) Simplify (h/h**(-3/2)*h**(1/2))/((((h*h**(-1/2))/h*h)/h)/(h/((h**3/h)/h*h)*h)) assuming h is positive. h**(7/2) Simplify n**18/(n*n*(n*n**(-21))/n*n) assuming n is positive. n**36 Simplify (k**(3/7)*k*k**(1/13)/k)/(k**(1/7)/(k*k**(-8))) assuming k is positive. k**(-604/91) Simplify (w**(-17/2)*w*w*w)/((w**(1/41)*w)/w) assuming w is positive. w**(-453/82) Simplify (i/(i*i**0*i))**(-5)*i*i**(-2/11)*i*i*i*i/i**3*i assuming i is positive. i**(86/11) Simplify l**6*l**(2/47) assuming l is positive. l**(284/47) Simplify (m**(-31)*m)/(m**21*m) assuming m is positive. m**(-52) Simplify k*k*k/(k/k**(-8))*(((k*k/(k*k**(-8)/k))/k)/k)/k*k*(k/k**3)/((k*k*k**(-1)/k)/k) assuming k is positive. k Simplify (y**(-1/3)/y**1)**11 assuming y is positive. y**(-44/3) Simplify (a*a**0*a)**17 assuming a is positive. a**34 Simplify (p**1*p**2)/(p**0/p)**37 assuming p is positive. p**40 Simplify (t**(-1/2)/t)**(-23)/(t**6/(t*t*t**(-1))) assuming t is positive. t**(59/2) Simplify (x**(2/9)/x*x*x)**(-25)/((x*x*x**(1/2))/(x/(x**(-5)/x))) assuming x is positive. x**(-469/18) Simplify c**(-2/49)/c*(c**(9/10)/c)/c assuming c is positive. c**(-1049/490) Simplify j**3/(j*(j/j**(-3))/j)*(j**(-1)/j)**39 assuming j is positive. j**(-79) Simplify (l/l**(2/9))**(-48)/(l**(-2)/l*l)**(-9/7) assuming l is positive. l**(-838/21) Simplify (z*z/z**(1/2))/(z/z**(-1/7)) assuming z is positive. z**(5/14) Simplify (u*u**(-19)*u*u)**(-2/35) assuming u is positive. u**(32/35) Simplify (d*d/d**(-5)*d**(-2/7)/d)**(-24) assuming d is positive. d**(-960/7) Simplify (d*d*d**(1/2))**(-23/4)*d**8/d*d**9*d assuming d is positive. d**(21/8) Simplify (((p*p**7)/p*p)/p)/p**(-1/10)*p**(1/4)*p*p/p**(6/11) assuming p is positive. p**(1937/220) Simplify (q**5*q/((q/(q*(q/(q*q**(-2/11)/q))/q))/q))/((q/(q/(q*q/(q/((q*q/q**(-2/9))/q)))))/q**(-5)) assuming q is positive. q**(-4/99) Simplify (a/(a**(2/3)/a))/a**(-7)*a**(-2/5)/a**(1/4) assuming a is positive. a**(461/60) Simplify ((c**13*c)/(c*(c**(1/7)/c)/c))**50 assuming c is positive. c**(5200/7) Simplify (j**6*j*j*(j*j*(j/((j/j**(1/8))/j*j))/j)/j)/((j**8/j)/((j*j/(j/(j**(-1/7)*j)))/j)) assuming j is positive. j**(111/56) Simplify m**(-2/9)/(m*m/(m/m**6)*m)*m**(-2/9)*m*m**(3/7) assuming m is positive. m**(-442/63) Simplify (f/f**(-3/20))/f**(-25) assuming f is positive. f**(523/20) Simplify f**(2/19)/(f*f**(2/39)*f) assuming f is positive. f**(-1442/741) Simplify (u**(-2)*u/(u/(u/u**(1/2))*u))**15 assuming u is positive. u**(-75/2) Simplify (t**(1/38)*t)/t*t**(-26) assuming t is positive. t**(-987/38) Simplify (((j*j**7)/j)/(j*j/j**(5/2)))**(8/5) assuming j is positive. j**12 Simplify (r*r**2*r*(r**(-7)/r)/r)/(r**(-1/7)*r/r**(3/7)*r) assuming r is positive. r**(-45/7) Simplify w**(-12)*w**(-8/9) assuming w is positive. w**(-116/9) Simplify g**(4/5)*g*g**(-1/7)*g**(-6)*g*(g/g**(1/5))/g assuming g is positive. g**(-124/35) Simplify (j**(-5)/j**(-2/13))/(j**(-5)/(j**(4/3)/j)) assuming j is positive. j**(19/39) Simplify u*u/u**(-1)*u*u**(-1/5)*(u**(2/5))**33 assuming u is positive. u**17 Simplify (m/(m**(-1/4)*m))**(-22)*m**(3/5)*m**5/m assuming m is positive. m**(-9/10) Simplify ((w*w*w/(w/((w**24/w)/w)*w)*w)/w)**(-9) assuming w is positive. w**(-207) Simplify (j/(j*j*j/j**(1/3))*j)**39*j*j*j/j**(-5)*j**2*j assuming j is positive. j**(-15) Simplify (r**(-5/6)/r)**(-30) assuming r is positive. r**55 Simplify (i/((i*i*i*(i*(i/i**(1/19))/i)/i*i)/i*i))/i**(-10) assuming i is positive. i**(134/19) Simplify (q**(-2)*q*q/((q**(-7/5)*q)/q))**0 assuming q is positive. 1 Simplify (u/(u*u*u**(-7)*u))/(u/u**(-4/9)) assuming u is positive. u**(32/9) Simplify (j/(j*(j/(j**20*j))/j))/(j/(j/(j*j**(-2/9)/j)*j)) assuming j is positive. j**(200/9) Simplify ((d**(-2/3))**(6/11))**(1/39) assuming d is positive. d**(-4/429) Simplify ((w**(-1/3))**(1/12))**17 assuming w is positive. w**(-17/36) Simplify (r**0/r)/(r/(r/(r**(-8)/r)))*r**(-5/4)/r*((r*r**(-1/5)*r)/r)/r assuming r is
{ "pile_set_name": "DM Mathematics" }
e prob of sequence svv. 1/10 What is prob of sequence wowh when four letters picked without replacement from {w: 1, h: 3, o: 3}? 0 Two letters picked without replacement from wpw. Give prob of sequence pw. 1/3 Three letters picked without replacement from xjxxxxxxxjxxxxxxjjxx. What is prob of sequence jjx? 8/285 Calculate prob of sequence pm when two letters picked without replacement from mplllnlmlvmllmvlppl. 2/57 Four letters picked without replacement from {j: 4, i: 1, t: 4, m: 1, f: 1}. Give prob of sequence tfim. 1/1980 Two letters picked without replacement from {z: 2, l: 1, k: 1, v: 1, h: 1, x: 2}. What is prob of sequence kh? 1/56 Three letters picked without replacement from {s: 6, i: 4, u: 6, y: 2}. What is prob of sequence yiy? 1/612 What is prob of sequence ikq when three letters picked without replacement from {h: 1, k: 5, i: 1, q: 2}? 5/252 What is prob of sequence oo when two letters picked without replacement from ooqovovoeqqoov? 3/13 What is prob of sequence zzi when three letters picked without replacement from izzijjzwwjjijjwitwm? 4/969 Four letters picked without replacement from {f: 6, g: 4, q: 7}. Give prob of sequence ffqf. 1/68 Calculate prob of sequence qqmm when four letters picked without replacement from mkpvvqmk. 0 Three letters picked without replacement from {u: 1, j: 1, a: 2, m: 1, i: 1, z: 1}. What is prob of sequence aui? 1/105 Calculate prob of sequence td when two letters picked without replacement from {d: 1, t: 1, x: 1}. 1/6 Four letters picked without replacement from bbbbybbbybbbbbby. Give prob of sequence byyy. 1/560 Three letters picked without replacement from ncrnrkrrtktrnyr. Give prob of sequence crt. 2/455 Two letters picked without replacement from lllwlwllllwllw. Give prob of sequence wl. 20/91 Calculate prob of sequence yx when two letters picked without replacement from {q: 1, o: 1, y: 1, t: 2, x: 2, l: 1}. 1/28 Two letters picked without replacement from bjuthhbhjhbhhzbub. What is prob of sequence tj? 1/136 Four letters picked without replacement from {f: 3, h: 2}. Give prob of sequence fhff. 1/10 Calculate prob of sequence bbro when four letters picked without replacement from rorborororbrr. 7/2145 Two letters picked without replacement from {k: 4, j: 1, e: 1, i: 1, c: 4}. What is prob of sequence kc? 8/55 What is prob of sequence mt when two letters picked without replacement from {m: 12, t: 6}? 4/17 What is prob of sequence aaa when three letters picked without replacement from {p: 4, q: 1, a: 3}? 1/56 What is prob of sequence mzm when three letters picked without replacement from mzzmzm? 3/20 Two letters picked without replacement from grrkgermrgrrr. What is prob of sequence rk? 7/156 What is prob of sequence barg when four letters picked without replacement from braag? 1/60 Two letters picked without replacement from {w: 1, v: 4, g: 2, e: 1, o: 2}. What is prob of sequence ge? 1/45 Three letters picked without replacement from mamraj. What is prob of sequence aam? 1/30 Four letters picked without replacement from {q: 7, w: 2}. What is prob of sequence qqqw? 5/36 Three letters picked without replacement from {k: 1, l: 7, v: 4, d: 1}. Give prob of sequence ldv. 7/429 What is prob of sequence tlt when three letters picked without replacement from {t: 3, y: 3, b: 1, l: 2, a: 3, q: 2}? 1/182 What is prob of sequence yjjy when four letters picked without replacement from bjnymyj? 1/210 Calculate prob of sequence ksbx when four letters picked without replacement from xbyskskyskbykkt. 1/1092 Three letters picked without replacement from {c: 5, e: 5, p: 4}. What is prob of sequence ece? 25/546 Calculate prob of sequence ph when two letters picked without replacement from rprprrprcchr. 1/44 What is prob of sequence ofvr when four letters picked without replacement from {v: 3, r: 7, c: 2, o: 6, f: 1}? 7/5168 What is prob of sequence ccpc when four letters picked without replacement from {c: 3, k: 8, p: 2, x: 3}? 1/3640 Four letters picked without replacement from {a: 1, p: 3, g: 3, l: 2, y: 1}. What is prob of sequence plgl? 1/280 Calculate prob of sequence igq when three letters picked without replacement from {l: 1, i: 1, g: 1, q: 1, a: 1}. 1/60 Two letters picked without replacement from vgvggyvv. What is prob of sequence vv? 3/14 Two letters picked without replacement from {h: 2, w: 3, p: 2, m: 3, e: 3, o: 1}. What is prob of sequence mw? 9/182 Three letters picked without replacement from {a: 9, j: 2}. What is prob of sequence jaa? 8/55 What is prob of sequence ljjj when four letters picked without replacement from jjjbl? 1/20 Two letters picked without replacement from {c: 2, j: 4, f: 5, d: 5, y: 3}. Give prob of sequence cf. 5/171 Three letters picked without replacement from jjzujjjjduju. What is prob of sequence dju? 7/440 What is prob of sequence yp when two letters picked without replacement from pypppy? 4/15 Calculate prob of sequence hcq when three letters picked without replacement from {h: 4, q: 1, c: 3, a: 2}. 1/60 Two letters picked without replacement from zarmmzmazmrrbrzramz. Give prob of sequence zr. 25/342 Two letters picked without replacement from pcbebmk. What is prob of sequence pk? 1/42 Three letters picked without replacement from bppbbgbbpgggbpgpbppp. Give prob of sequence gbb. 7/228 Two letters picked without replacement from {i: 11, k: 5}. Give prob of sequence ik. 11/48 Calculate prob of sequence yt when two letters picked without replacement from {t: 3, y: 15}. 5/34 What is prob of sequence wv when two letters picked without replacement from uvvvkhw? 1/14 Two letters picked without replacement from jjfjljojjjjj. Give prob of sequence ol. 1/132 Two letters picked without replacement from {o: 2, w: 10, b: 4}. What is prob of sequence bb? 1/20 Calculate prob of sequence gsv when three letters picked without replacement from ssswvggvgvivsv. 5/182 Four letters picked without replacement from {k: 1, s: 4, f: 1, o: 8, b: 1}. What is prob of sequence fobs? 4/4095 Four letters picked without replacement from {e: 9, f: 7}. What is prob of sequence efee? 21/260 Calculate prob of sequence aoc when three letters picked without replacement from {u: 3, i: 3, a: 2, c: 2, q: 1, o: 1}. 1/330 What is prob of sequence sc when two letters picked without replacement from {t: 7, m: 5, c: 5, s: 1}? 5/306 Calculate prob of sequence tt when two letters picked without replacement from {r: 4, t: 10}. 45/91 What is prob of sequence tc when two letters picked without replacement from {k: 2, m: 1, a: 7, t: 3, c: 4}? 3/68 Two letters picked without replacement from {y: 1, b: 1, t: 1, k: 2, h: 1, c: 1}. Give prob of sequence ky. 1/21 Calculate prob of sequence nn when two letters picked without replacement from {g: 9, n: 7}. 7/40 Calculate prob of sequence uluc when four letters picked without replacement from ulucluclccclcccll. 3/595 Four letters picked without replacement from {m: 2, h: 2}. Give prob of sequence hmhm. 1/6 Three letters picked without replacement from {l: 2, o: 1}. Give prob of sequence lol. 1/3 Three letters picked without replacement from {o: 6, f: 6}. What is prob of sequence ofo? 3/22 Two letters picked without replacement from {h: 1, k: 2, b: 1}. Give prob of sequence kh. 1/6 Four letters picked without replacement from {n: 5, u: 5, l: 3}. What is prob of sequence luun? 5/286 Four letters picked without replacement from {e: 2, r: 5}. Give prob of sequence rerr. 1/7 Calculate prob of sequence ze when two letters picked without replacement from {v: 2, a: 3, z: 1, e: 4}. 2/45 What is prob of sequence gbau when four letters picked without replacement from {s: 1, b: 1, n: 1, u: 1, g: 1, a: 2}? 1/420 Calculate prob of sequence zoo when three letters picked without replacement from {o: 2, z: 5}. 1/21 Calculate prob of sequence mm when two letters picked without replacement from {m: 2, f: 2, y: 4, u: 8}. 1/120 Two letters picked without replacement from eooeoovooooooof. What is prob of sequence ev? 1/105 Two letters picked without replacement from {j: 1, u: 1, a: 1, v: 2, f: 1, z: 1}. Give prob of sequence jz. 1/42 What is prob of sequence riq when three letters picked without replacement from {o: 1, q: 1, a: 1, r: 2, i: 2, s: 1}? 1/84 Three letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
4). Suppose -w - w + 212 = 4*u, w + n*u - 110 = 0. What is the greatest common divisor of 14 and w? 14 Suppose 12 = 4*c, -k - c = -4*k - 555. Let f = 191 + k. Let l(i) = 21*i**2. Let r be l(-1). Calculate the greatest common divisor of f and r. 7 Suppose 0 = -2*i + 108 + 32. Let w = 16023 - 16013. Calculate the greatest common factor of w and i. 10 Let f(i) = -26*i - 14. Let v be f(3). Let m = -26 - v. What is the highest common factor of 44 and m? 22 Let l = 28 + 100. What is the highest common factor of 4 and l? 4 Suppose -54*t + 656 = -100. Calculate the highest common divisor of t and 175. 7 Let j be (-6)/5*60/(-18). Suppose j*s - s - 45 = 0. Suppose 3*h - 4*a = -5*a + 20, 3*h - 4*a = -5. Calculate the highest common factor of s and h. 5 Suppose 2*d + 5*s - 39 = 0, 7 + 18 = 5*s. Let b be (602/(-4))/d*2. Let x = -28 - b. What is the highest common factor of x and 3? 3 Let o be ((-19)/38)/(3/(-66)). Suppose -28 = 5*i - 8, 5*i = -5*z + 420. What is the greatest common factor of z and o? 11 Suppose -17*p + 12 = -15*p. What is the highest common divisor of p and 14? 2 Suppose 8*m = 6*m - z + 101, -5*z = -25. What is the highest common divisor of 3 and m? 3 Suppose -3*l = -0*l - 594. Suppose 0 = 2*m + 2*f - 26, 5*m - 27 = 2*f + 73. What is the greatest common divisor of m and l? 18 Let a be (-1)/(15/(-6)) + (-388)/(-5). Let c be (-3 - 0)/((-3)/39). Calculate the greatest common factor of c and a. 39 Suppose 151 = c - 5*u, -9*c + 227 = -7*c + 5*u. What is the greatest common divisor of c and 28? 14 Let h be (27/(-6))/((-4)/8). Suppose -3*b - g - 6 = 2*g, 3*g = h. Let w = b - -11. What is the greatest common divisor of 6 and w? 6 Let w(u) = -1. Let a(b) = 4*b + 6. Let s(y) = -6*a(y) - 30*w(y). Let f be s(-4). Let n be (f/75)/((-1)/(-10)). What is the greatest common factor of n and 12? 12 Suppose -2*g - 5*a + 1764 = -152, 3*a = g - 936. Calculate the highest common factor of 12 and g. 12 Suppose t = -t + 192. Suppose -k = 2*k + 3*z - 39, -5 = -5*z. Calculate the greatest common divisor of k and t. 12 Let d be (7/((-98)/455))/((-2)/4). Calculate the greatest common divisor of d and 104. 13 Let y be 4*(-4)/8*9. Let q = y - -49. Let w = q - 13. Calculate the greatest common factor of w and 2. 2 Suppose -272 = 4*m - 928. Calculate the highest common divisor of m and 4. 4 Suppose 0 = -6*j - 2*j + 672. Calculate the greatest common divisor of j and 36. 12 Suppose -3*t - 9 = -12, -w + 5*t + 875 = 0. Calculate the highest common factor of w and 88. 88 Suppose -2*f = -11 + 3. Suppose 0*r + 118 = 2*r. Suppose -3 = f*b - r. What is the greatest common factor of 98 and b? 14 Suppose 0 = -4*c - 1 - 3. Let r = 5 + c. Suppose 10 = 5*z, -r*z - 16 + 156 = 2*a. Calculate the greatest common divisor of a and 22. 22 Suppose -2*x + 5*h - 5 = -29, -3*h - 6 = 3*x. Suppose 6*m - 108 = x*m. Calculate the highest common factor of m and 243. 27 Let q be (47 - (-140)/14) + (-5 - 1). Calculate the highest common factor of 663 and q. 51 Let u be (-8)/(-4) - -323 - 4. Calculate the greatest common factor of u and 107. 107 Suppose 5*q + 7 = 22. Let l be q + -2 - (-39)/1. Calculate the highest common factor of 10 and l. 10 Suppose -3*l - 2*l = -175. Let f be -2*(1/(-3) - (-1300)/(-195)). What is the highest common divisor of f and l? 7 Suppose 7*a = 2*a + 630. Let p = 131 - a. What is the greatest common factor of 45 and p? 5 Suppose -5*b + d = 200, 189 = -4*b - 5*d - 0*d. Let s be 1/(-2)*(b - (-5 - -2)). What is the greatest common divisor of s and 171? 19 Let p(d) = -2*d - 29. Let k be p(-17). Suppose -3 = t, t - 4 + 1 = -2*l. Let s be l/((-9)/(-6)) + 3. Calculate the greatest common factor of s and k. 5 Let a(s) = -s. Let b be a(7). Let x = b + 8. Calculate the greatest common factor of x and 4. 1 Suppose -i = 2*c - 4, -81*c = -i - 78*c + 29. Calculate the greatest common divisor of 854 and i. 14 Let c be -2 + -3 + (-84)/(-1). Let o = 117 - c. Let s be 665/63*3*9/5. Calculate the highest common factor of o and s. 19 Let q(s) = s**3 + 6*s**2 + 9*s + 4. Let t be q(-4). Suppose t = -3*z - 0*y + 2*y + 43, 62 = 4*z + 2*y. Calculate the highest common factor of z and 10. 5 Let h = 544 + -540. Suppose 5*z - 16 = 4*g, 3*g = z + 2*z - 9. Calculate the greatest common divisor of z and h. 4 Let l be 45/(-135) - 1551/(-9). Calculate the greatest common divisor of l and 301. 43 Let s = -80 - -138. What is the greatest common divisor of 725 and s? 29 Suppose 4*b - 5 - 3 = -2*j, -2*j + 3*b = -1. Suppose j*c + 572 = -2*c. Let l = c - -209. Calculate the highest common divisor of l and 44. 22 Suppose -4*z = -88 - 32. Let k = z - 8. Calculate the highest common divisor of k and 22. 22 Suppose 3*x = 28 + 98. Let d(o) = -19*o**3 + 2*o**2 + 4*o + 4. Let b be d(-2). Suppose -3*f + x = -b. What is the highest common divisor of 44 and f? 22 Suppose 71 + 69 = 4*k. Let x be 1480/k - 4/14. What is the greatest common divisor of 14 and x? 14 Let i be 52 + -49 - (1 + 0 + -2). Let v be 73/i + 3*(-4)/48. Calculate the highest common divisor of v and 144. 18 Let p(w) = -7*w - 10. Let c be p(-36). Calculate the highest common factor of c and 2. 2 Suppose b = -2*x + 147, -4*x + 5*b = -0*x - 329. Let v = -36 + x. Suppose -t = -v - 59. Calculate the highest common divisor of t and 11. 11 Let x(j) be the third derivative of j**5/30 + 3*j**4/8 - 2*j**3/3 + 23*j**2. Let k be x(5). What is the greatest common divisor of 7 and k? 7 Let d = 1077 - 1012. What is the highest common factor of 117 and d? 13 Let m(n) = -9*n**3 - n**2 - 3*n - 3. Let b be m(-2). Let f = b - 35. Calculate the highest common factor of f and 252. 36 Let p = -12 + 21. Let a(m) = m**2 - 8*m + 4. Let v be a(7). Let y = 4 + v. Calculate the greatest common divisor of p and y. 1 Suppose 17*l + 68 = 15*l. Let m = l + 255. Calculate the highest common divisor of m and 13. 13 Let a be -3 + (-22 - (-2 - 2)). Let s = a + 77. What is the highest common divisor of s and 14? 14 Suppose -4*u + o = -1987, 8*u = 11*u + 2*o - 1493. Suppose 0 = -16*m + u + 79. Calculate the highest common divisor of m and 63. 9 Suppose 0 = 4*f + 2*n - 110, -5*f = -19*n + 17*n - 151. What is the highest common divisor of 319 and f? 29 Let l(q) = -2*q**3 + 4*q. Let k be l(-2). Calculate the greatest common factor of k and 40. 8 Let w(y) = 424*y + 26. Let s be w(1). Calculate the greatest common factor of 36 and s. 18 Let h be ((-2)/(-1))/((-3)/(-96)). Let n = 50 + h. Suppose -4*s + n = -22. What is the highest common factor of s and 51? 17 Let w(u) = -u**3 + 6*u**2 - 5*u - 2. Let f be w(5). Let z(h) = -58*h - 14. Let o be z(f). What is the greatest common divisor of o and 153? 51 Suppose 3*z - 395 = -n, -2*z - 2*z + 2*n + 530 = 0. Let g(y) = -7 - 4*y - 7 + 18. Let r be g(-2). What is the highest common factor of z and r? 12 Suppose 4*z - 76 = -4*r, 0 = -4*r - 5*z + 57 + 18. Let w be 2454/3*4/(7 - -1). Suppose 0 = -4*c + w + 231. Calculate the highest common divisor of r and c. 20 Let n = 210 - 113. Let p = -431 - -603. Let g = p - n. What is the highest common divisor of g and 30? 15 Suppose 335 = 22*c - 2085. Calculate the highest common divisor of 44 and c. 22 Let h be (0 + 3/6)*8. Let b be (-35)/(-3) + h/6*-1. Calculate the greatest common factor of 22 and b. 11 Let j = -1 + 4. Let w be 0/6 + j*121. Suppose -5*l + 1363 - w = 0. Calculate the greatest common divisor of 25 and l. 25 Suppose 151 = 3*r + f - 746, -4*r + 1197 = f. Calculate the greatest common divisor of 225 and r. 75 Let n(d) = -d - 10. Suppose 5*i = -96 - 104. Let t = i + 26. Let x be n(t). Calculate the highest common divisor of x and 44. 4 Suppose h + 0 = -1. Let i be (-102)/(-4) - h/(-2). Let d(r) = -2*r**3 - 13*r**2 - r - 6. Let q be d(-7). Calculate the highest common factor of q and i. 25 Let v(u) = u**2 + 20*u - 45. Let z be v(-22). Let w be (47 - 44)/((-2)/6*z). What is the highest common factor of w and 3? 3 Let w be (-3)/(-9) - 1945/(-15). What is the greatest common factor of w and 30? 10 Suppose 4*f - g = 223, -3*f - g + 162 = -0*f. Suppose 0 = 3*k - 4*t - f, -3*k + 4*t = 3*t - 61. What is the greatest common divisor of k and 21? 21 Suppose -2*g - f = -135, -g = -0*f + f - 69. Calculate the highest common divisor of 572 and g. 22 Let z(s) = -7*s - 4. Let l be z(-3). Let w = l + -16. Let g = 47 + w
{ "pile_set_name": "DM Mathematics" }
2/13 (b) -3/7 (c) p c Let t = 22 + -12. Let p = -15 + t. Let w be (-22)/28 - 4/(-14). Which is the nearest to w? (a) 0.4 (b) p (c) 0 c Let f = -0.161 - 0.039. Which is the nearest to -1? (a) f (b) 1/9 (c) -3/7 c Let p(k) = 4*k**2 + 2*k + 1. Let w be p(-1). Let n be (3/7)/(w/(-6)). Let o be (-5)/(-1)*4/30. What is the closest to o in -2/17, n, -0.2? -2/17 Let u = 40 + -45. Which is the nearest to 0.1? (a) u (b) -1 (c) 0.1 c Let k be (-6)/(-8) - 99/88. Let z = -0.3 + 2.3. Let d = 1.8 - z. Which is the nearest to 0? (a) 4 (b) d (c) k b Let z = -2.02 + 2. Let n = -0.48 + z. Let u = 0.7 + n. What is the closest to -0.1 in -0.1, -3/4, u? -0.1 Let l = -2.63 + 2.7. What is the closest to 2 in 1/2, -3, l? 1/2 Let f = 18 + -19. Let s = f + 3. Which is the closest to 0.1? (a) -3 (b) s (c) 0.3 c Let w = -11 + 11.12. Let x = -5.12 + w. What is the closest to -1 in -0.2, 0, x? -0.2 Let i = -2.18 - -0.18. What is the nearest to 1 in -1, 2, i? 2 Let x be (2 - 0 - 3)*4/16. What is the closest to 0.3 in 2/9, 0.1, x? 2/9 Let w = 387/4 + -96. Let o be (20/8)/(1/2). Suppose 0 = -o*g + 2*g - 6. Which is the nearest to -1? (a) g (b) -0.2 (c) w b Let m be ((-4)/(-6188))/(2/(-534)). Let c = m + 5/91. What is the nearest to 0 in c, -0.4, -2/7? c Suppose -3*t + 2*a + 42 = -146, -3*t + 182 = 4*a. Let h = t - 684/11. Let r = 1.9 - -0.1. What is the closest to 0.1 in -2/7, h, r? h Let v be (5/3)/((-4)/(-12)). Let n(m) = -m**3 + 4*m**2 + 4*m + 3. Let x be n(v). Which is the closest to 3/4? (a) 0.1 (b) 2/9 (c) x b Let u(p) = 5*p + 1. Let l be u(-1). Suppose -1 = 2*d - 13. Suppose -2*o = 5*v - 3, -5*o + d*v - 10 = v. Which is the closest to -1? (a) -1/6 (b) l (c) o c Let l be ((-6)/(-12))/((-1)/2). What is the nearest to l in 0, 4, -4? 0 Let o = 29 - 29. Let w = 0.4 + -0.2. What is the nearest to 0.2 in o, w, 4? w Let r = 0.1 + -1.1. Let l = 77/2 - 38. What is the closest to -2/5 in l, r, 2? r Let i = -0.3 + -0.1. Let c = 0.056 + 0.244. What is the closest to 1 in c, 3, i? c Let w be (-46)/(-8) - 3/4. Let u = -0.8 + 0.6. Suppose 2 = -3*s + 5*h, -s - 2 = -4*h + 1. What is the nearest to s in w, -4, u? u Let i = -0.009 - -0.219. Let h = i - 5.21. Let j = 2705/17 - 159. Which is the nearest to 1? (a) h (b) 0.5 (c) j b Let k = 215/4 + -54. Let l = -2.904 - -0.004. Let s = l - -3. Which is the nearest to s? (a) k (b) -0.2 (c) -4 b Let w be 2/(-12) - (-4)/96*-2. What is the closest to 1 in 5, -28, w? w Let d = 0.11 - 0.11. Which is the nearest to 1? (a) 4 (b) d (c) -3 b Suppose 10 = 2*w + 3*w. Which is the closest to w? (a) 1 (b) 2 (c) -1/5 b Let t = -0.095 - 8.005. Let k = -8 - t. Let o = -30/13 - -77/39. Which is the nearest to -0.1? (a) o (b) -2 (c) k c Let f = 33 + -32.9. Let l be 11/12 + (-2)/8. Let y = 1.2 - 0.2. What is the nearest to f in -2/5, y, l? -2/5 Let y = 1 - 0. Let v = 1 - y. Suppose -3*x = x. Which is the closest to v? (a) 0.3 (b) -0.5 (c) x c Suppose 0 = 2*q - 0*q. What is the nearest to q in 10, 0, -2? 0 Let b = 0.09 - -0.04. Let l = b - 0.63. What is the closest to 1 in l, -0.4, 1? 1 Let u = 2 + -10/3. Suppose -z - 5*j = -2*z - 23, -5 = -j. Suppose -2*k - z = -3*x + 2, -3*k - x - 17 = 0. Which is the nearest to -1? (a) -3 (b) u (c) k b Let d = -3.9 - -2.9. Let u = -7 + 7.3. Which is the closest to 1/4? (a) u (b) 0.1 (c) d a Let y = 15.3 + -17. Let r = 2.3 - y. What is the nearest to 1 in r, -0.3, -4? -0.3 Let n = 1.02 - 0.02. Let h = 6 + -6.3. Let b = -37 - -36. What is the nearest to b in 2/11, n, h? h Let f = -143.0162 + 143. Let r = f - -2.0462. Let x = r - 0.03. Which is the nearest to x? (a) -2/3 (b) -2/11 (c) -3 b Let y = -1 + 2/3. Let q = -6.6 - 1.4. Let j = q - -7. Which is the nearest to y? (a) -2/7 (b) 2 (c) j a Let t = 4364/63 - 644/9. What is the closest to 0.2 in -4, t, 3/4? 3/4 Let g = 0.7 + -1. Let c = 3 + 1. What is the nearest to 0.2 in c, 0.1, g? 0.1 Let f be ((-2)/(-8)*-3)/((-84)/32). Which is the closest to -0.1? (a) f (b) 0 (c) -2 b Let n = 2.32 + -0.02. Let j = n - 2.6. What is the nearest to -1 in j, -1/5, 2? j Let s = -0.3 + 0. Which is the nearest to 12? (a) s (b) -3 (c) 3 c Let f be 2/((-21)/(-15) + -1). Suppose h + 0*h - f*z + 20 = 0, 0 = -5*z + 15. Which is the nearest to -0.1? (a) h (b) -2 (c) 2 b Let j = -90 - -89.8. Which is the closest to j? (a) 2/17 (b) -4 (c) 0.4 a Let r = 4.01 + -4. Let s = r - -0.09. What is the closest to 0 in 2/11, s, -1? s Suppose -h = -3*h. Let q = 0.2 - 0.1. Which is the nearest to q? (a) h (b) 3 (c) -0.1 a Let r be (0 - 0/(-5))/(-3). Which is the nearest to r? (a) -3 (b) 0.3 (c) 2/7 c Let s = -6 + 7.7. Let x = -0.7 + s. What is the closest to x in -1/4, 5, 0? 0 Let q be 2*(11/4 + (-3)/12). Which is the closest to -1? (a) 4 (b) q (c) 0.03 c Let r = -1.4 - -1. Let x = -11 + 11. Let q = -2/39 + 5/13. Which is the nearest to -1? (a) r (b) q (c) x a Let a = 0.05 + 0.15. What is the nearest to -0.1 in a, -3, -1? a Let g = -1.9 + 4.9. Which is the nearest to -1? (a) 0.5 (b) -2/9 (c) g b Let o = -20.38 - -21. Let x = o - 0.02. Let y = -0.3 + x. What is the nearest to 0.1 in -2/9, -2, y? y Let k(l) = l**3 + 4. Suppose 2*t = -3*t. Let i be k(t). Suppose -4*v + v + 2 = i*d, -4 = 4*d. Which is the nearest to -0.1? (a) -3 (b) v (c) -4 b Let x = 1939/8 - 242. Let g be (-3 - -1)*-1 + 76. Let t be (-8)/g*(-3)/(-2). What is the nearest to 1 in t, x, 1/4? x Let u = 397/28 - 87/7. Which is the nearest to -1? (a) u (b) -0.1 (c) -0.3 c Let q = 18 - 17. Let t be -2*((-3)/(-2))/3. What is the nearest to q in -1/5, 2, t? 2 Suppose 0 = -h - h + 4. Let j be (3/(-18))/(h/(-4)). Let i be (6/(-36))/(2/(-3)). Which is the nearest to i? (a) j (b) -3/5 (c) -2/13 a Suppose 8*y + 73 = 81. Let r be (-4)/6*2/8. What is the nearest to y in 2, r, 0.4? 0.4 Let l = -1 - -0.8. Let y(i) = 5*i**2 + 5*i + 5. Let t be y(-1). Which is the closest to l? (a) 3 (b) -3/8 (c) t b Let m = -1 - -2. Suppose -p + 0 = m. Let z be ((-4)/(-10))/((-18)/(-15)). What is the nearest to -0.1 in 1, p, z? z Let k = 1 + -0.6. Which is the nearest to 1/4? (a) k (b) 2/11 (c) 0.2 c Let u = 3 + -4. Let v = -2.9 - 0.1. Let h = 3 + v. What is the closest to 1 in h, u, -0.5? h Let y = -4.8 + 5.1. Which is the closest to 0.1? (a) -1/4 (b) y (c) 0 c Let s = -0.66 - -0.56. What is the nearest to s in -2/13, 0, -5? -2/13 Let s be 2/15*(-11 + 6). What is the nearest to 3/5 in 0, s, -0.3? 0 Let m be (-6)/(-4)*(-12)/(-9). Let r be (-133 + (-4)/m)/(-1). Let u = 1211/9 - r. What is the nearest to -1/4 in 0, 2, u? u Let x(y) = y - 5. Let g be x(4). What is the nearest to g in 5, 1/3, -1/2? -1/2 Let r = 7 - 7.3. Let i = 772/7 + -110. What is the closest to -1 in -2, r, i? r Let i = -13 + 17. Let j = -98 + 492/5. What is the nearest to 0 in -1/3, i, j? -1/3 Let f be ((-7)/(-14))/(2/(-4)). Which is the closest to f? (a) 5 (b) -1/2 (c) -1 c Let s = -5 + 10. Let y be (6/(-10))/((-1)/10). Let u be y*(-8)/(-420)*5. Which is the nearest to 1? (a) -3/4 (b) u (c) s b Let r = 0.11 - 0.21. Which is the closest to r? (a) 5 (b) 2 (c) 0.1 c Let a be -2*5/(10/(-3)). What is the nearest to 2 in 0.2, a, -2/13? a Let d = 0.1 + 0.3. Suppose -j = -0*j. Which is the nearest to j? (a) -1 (b) 0.1 (c) d b Let r = 0.46 - -0.04. Let y = r - 0.49. Let m = 0.11 - y. What is the nearest to -2 in m, 0, 0.4? 0 Let t(o) = 3*o - 44. Let g be t(17). Which is the nearest to g? (a) 3 (b) 1 (c) -2/9 a Let c = -0.45 + 0.15. Let r = 349 - 5233/15. What is the closest to 2/5 in r, -1, c? r Let m(r) = -r**3 - 8*r**2 - 6*r + 6. Let u be m(-7). Suppose 0*s + 2 = s. Suppose v = s*v - 4. Which is the closest to -0.1? (a) u (b) v (c) -5 a Let h = 5 - 4. Let o = 3 + -2.5. Which is the closest to h? (a) o (b) -4 (c) -3/8 a Suppose 5*p + 5*u = -45, 0*p = -3*p - 5*u - 37. Which is the nearest to -1? (a) p (b) -0.4 (c) 0.3 b Let k = -133 - -133.4. Let t be 1/(0 + (-1)/16). Let r = t + 31/2. Which is the closest to r? (a) 5 (b) k (c) -5 b Let n = -8.8 - -8.5. What is the nearest to -2 in 2, -9, n? n Let u = -7 + 3. Let x = u + 3.9. Let s = -0.4 + 0.2. Which is the nearest to 0? (a) -4/9 (b) s (c) x c Let c = -4.5 - -5. What is the closest to 0.4 in -4/9, -3, c? c Let o = 0 - -2. Let x = 19 + 3. Let g =
{ "pile_set_name": "DM Mathematics" }
q wrt q? 2292*q**2 - 4 Find the second derivative of -515*o*s**2*w**2 - 67*o*s*w + o*s - s**2*w**2 + 2*s**2 - 2*s*w**2 - s wrt s. -1030*o*w**2 - 2*w**2 + 4 Find the second derivative of u**3 - 2*u**2 + 684*u. 6*u - 4 Differentiate -474*h**2 - 19556. -948*h Find the second derivative of 295*b**2*v**3 + 11*b**2*v**2 + 162*b*v - 11*v**3 wrt b. 590*v**3 + 22*v**2 Find the second derivative of -2*w**3 - 193*w**2 - 2*w - 575 wrt w. -12*w - 386 Differentiate 70*y**4 - 537 with respect to y. 280*y**3 What is the third derivative of -6679*a**5 + a**3 + 2*a**2 + 14*a + 30? -400740*a**2 + 6 Find the third derivative of -133*s**5 - 5*s**4 + 956*s**2 wrt s. -7980*s**2 - 120*s Find the first derivative of 60*l**3*v**2 - 2*l**3 + l - 193*v**2 wrt l. 180*l**2*v**2 - 6*l**2 + 1 What is the derivative of -1481*i*k*r + i*r + k*r + 459*r wrt i? -1481*k*r + r What is the third derivative of -130*i**3 + i**2 - 16 wrt i? -780 What is the derivative of -2002*a**3 - 1598 wrt a? -6006*a**2 Find the second derivative of -172*b**2 - 12*b + 7. -344 What is the third derivative of 25*s**6*w - s**4*w - 4*s**3*w - 2*s**2*w - 10*s**2 - 54*s*w + s wrt s? 3000*s**3*w - 24*s*w - 24*w Find the first derivative of 98*k**4 - 228 wrt k. 392*k**3 Find the third derivative of -32*g**3*z**2 + 4*g**3*z - 5*g**3 - 19*g**2*z**2 - z**2 + 162*z wrt g. -192*z**2 + 24*z - 30 What is the second derivative of 4*k*v**3 + 16*k*v**2 + 43*k - v**2 - 15*v wrt v? 24*k*v + 32*k - 2 Find the third derivative of -38*w**4 - 2*w**2 + 13*w. -912*w What is the first derivative of 2*r**3*u - 26*r**2*u - 8*r*u - 11*u - 3 wrt r? 6*r**2*u - 52*r*u - 8*u Find the third derivative of -g**6 + 414*g**4 - 1156*g**2 + g. -120*g**3 + 9936*g Differentiate c*g*t*u**2 + 3*c*g*t - 236*c*t*u**2 - 43*g*t*u**2 - g - 3*t*u**2 + 2*u**2 - 2*u with respect to c. g*t*u**2 + 3*g*t - 236*t*u**2 What is the second derivative of -9982*s**2 + 113*s - 2? -19964 Differentiate -5789*j**2*m + 36*j**2 - 2*m + 89 wrt m. -5789*j**2 - 2 What is the first derivative of 115*d**2 + 195 wrt d? 230*d Find the third derivative of -113*u**4 - 17*u**2 - 2. -2712*u What is the second derivative of -3*b*d**2*o**2*v**2 - b*d*o - 2*b*o - 366*d**2*o**2*v**2 - d*o*v**2 + 7*d*o*v + 3*o**2*v wrt d? -6*b*o**2*v**2 - 732*o**2*v**2 What is the third derivative of 84*q**4 - 2*q**3 - 97*q**2 wrt q? 2016*q - 12 What is the third derivative of 1508*f**3 - 22*f**2 + 2*f + 3? 9048 What is the second derivative of 9239*j**2*z**2 - 3488*j + z**2 wrt j? 18478*z**2 Find the third derivative of 205*y**5 - y**2 - 12*y. 12300*y**2 Find the third derivative of 2*x**4 + 207*x**3 + 2157*x**2. 48*x + 1242 Find the second derivative of -1354*z**5 + 104*z - 2 wrt z. -27080*z**3 Find the second derivative of 1072*h**5 - 856*h. 21440*h**3 Find the third derivative of -2*j**4*m - 603*j**4 - j**3 - 215*j**2*m wrt j. -48*j*m - 14472*j - 6 What is the third derivative of 79*s**6 - 79*s**2 + 1 wrt s? 9480*s**3 Differentiate 37*z**2 - 13*z - 1379. 74*z - 13 What is the third derivative of -2*i**6 - i**4 + 1006*i**3 - 11338*i**2? -240*i**3 - 24*i + 6036 What is the second derivative of 764*d**5 - d - 161 wrt d? 15280*d**3 What is the first derivative of -2*a*i*r**2 + 132*a*i - 3*a*r**2 - 4*a - i*r**2 + 6*i*r wrt r? -4*a*i*r - 6*a*r - 2*i*r + 6*i Find the first derivative of 3*n**2*r**4 + 15*n**2*r**2 + 27*n**2 wrt r. 12*n**2*r**3 + 30*n**2*r What is the derivative of 5*n**2 - 1024*n + 21713? 10*n - 1024 Find the third derivative of b**2*s**3 + 3*b**2 - 2*b*s**2 - 15*b*s - 52*s**4 wrt s. 6*b**2 - 1248*s What is the derivative of 207*u + 35? 207 Differentiate 2252*u**3 + 398 wrt u. 6756*u**2 What is the second derivative of -8*d**2*n**3 - 7*d**2*n - 7*d*n**3 - 20*d*n wrt n? -48*d**2*n - 42*d*n What is the first derivative of a**3 - 17*a**2 - 13*a + 3458? 3*a**2 - 34*a - 13 What is the third derivative of -7*d**3*v**3 + 641*d**3*v**2 - 216*d**2*v**4 - 6*d*v**2 wrt v? -42*d**3 - 5184*d**2*v Find the second derivative of -348*s**2 - 19*s + 4. -696 Find the third derivative of -1937*u**3 + u**2 + 288*u wrt u. -11622 What is the derivative of -2*c*f*g**2 - 32*c*f - c*g**3 - 38*g**2 wrt g? -4*c*f*g - 3*c*g**2 - 76*g Find the third derivative of -f**3*l**3 - 21*f**3*l*o - 2*f**3*l + 18*f**2*l + 2*f*l**3*o + f*l**2*o - 2*f*o wrt f. -6*l**3 - 126*l*o - 12*l Differentiate 2*u**4 + 9*u**2 + 106. 8*u**3 + 18*u Differentiate -202*g**2*h**3*n - 21*g**2 - g*h**3 with respect to n. -202*g**2*h**3 What is the third derivative of -13*t**2*u**3 + 285*t**2*u**2 + 2*t*u**4 + u**3 wrt u? -78*t**2 + 48*t*u + 6 Find the second derivative of 10*b**2*w**3*z + b**2*w*z**2 - 3*b**2*w - 7*b*w**3*z + 4*b*w**2*z**2 - 2*w wrt b. 20*w**3*z + 2*w*z**2 - 6*w Find the third derivative of -3195*h**3*p - 2*h**2 + 47*h*p - p wrt h. -19170*p Find the second derivative of 2692*u**3*x**3 + 3*u**3 - 7*u**2*x - u*x**4 - 41*u*x + x wrt x. 16152*u**3*x - 12*u*x**2 Find the third derivative of -6680*s**4 - 12402*s**2 + s. -160320*s Find the third derivative of -15*f**6 - 114*f**5 + f**4 + f**2 - 998 wrt f. -1800*f**3 - 6840*f**2 + 24*f Find the first derivative of 2962*w**2 - 900 wrt w. 5924*w What is the third derivative of 8250*y**3 + 34*y**2 + 58*y - 2 wrt y? 49500 Differentiate -218*p**4 + p**3 + 1012 wrt p. -872*p**3 + 3*p**2 Find the second derivative of -18*w**4 - 4*w**3 - 380*w. -216*w**2 - 24*w Find the first derivative of -55*w**2 + 69. -110*w Find the second derivative of -183*j**3*n + 2*j**3 + j**2*n**3 + j*n**3 - 156*j*n wrt j. -1098*j*n + 12*j + 2*n**3 Differentiate -360*o*q**2 - 82*q**2 with respect to o. -360*q**2 What is the derivative of -2*h**3*y - 162*h**2*y**2 - y**2 + 84*y wrt h? -6*h**2*y - 324*h*y**2 What is the third derivative of 31*b**6 + 18*b**2 - 2? 3720*b**3 Find the third derivative of -150*n**6 - 3*n**4 + 21*n**2 - 3 wrt n. -18000*n**3 - 72*n Find the third derivative of 10*k**3*v**5 + k**3*v**2 + 1955*k**3*v + 47*k**2*v**5 wrt v. 600*k**3*v**2 + 2820*k**2*v**2 Find the first derivative of -267*j**3 + 2*j**2*v + 34*v + 164 wrt j. -801*j**2 + 4*j*v Differentiate 5136*c**3 + c - 10241. 15408*c**2 + 1 What is the third derivative of 2*t**2*y**3 - t**2*y + 29*t*y**6 + 27*y**2 wrt y? 12*t**2 + 3480*t*y**3 Find the second derivative of 174*z**4 + 3*z**3 + 221*z + 1. 2088*z**2 + 18*z Differentiate f**3*k - 2*f**3*v - f**3 + 30*f*k**3*v - 9*k**3*v - 28*v wrt k. f**3 + 90*f*k**2*v - 27*k**2*v Find the third derivative of -2*b**4 - 105*b**3 - 287*b**2 wrt b. -48*b - 630 What is the third derivative of 343*o**4 - 254*o**2 wrt o? 8232*o What is the first derivative of 1429*b - 885? 1429 Find the second derivative of 3*f**3*m**2 - 82*f**3*m + f**3 - 5*m**4 wrt m. 6*f**3 - 60*m**2 Find the third derivative of 647*q**4 - 999*q**2 wrt q. 15528*q What is the third derivative of -12*h*t**3 + 3*h*t**2 + h*t + 6*t**5 + 53*t**2 wrt t? -72*h + 360*t**2 What is the third derivative of b**2*i**4 + 17*b**2*i + 3*b*i**6 - 6*i**3 + i**2 wrt i? 24*b**2*i + 360*b*i**3 - 36 Find the first derivative of -815*p**2*s + 733*p**2 - p*s + 2*s wrt s. -815*p**2 - p + 2 What is the first derivative of -3*q**2*v**2 + 7*q**2*y**2 + 2*q**2*y + 8*q*v**3 - 2*q*v**2 - 2*v**3*y**2 wrt y? 14*q**2*y + 2*q**2 - 4*v**3*y What is the third derivative of 3523*u**3 + 70*u**2 - 2*u - 9? 21138 What is the first derivative of -39*h*j**2 + h*j + 49*j**2 wrt h? -39*j**2 + j Find the first derivative of 873*f**4 - 1538. 3492*f**3 What is the third derivative of 141*b**3*h**2*r + 2*b**3*r**2 - 5*b**3*r + 2*b**2*h**2*r**2 + 10*b**2*h**2 + 107*b**2*h*r**2 wrt b? 846*h**2*r + 12*r**2 - 30*r Find the third derivative of g*z**6 - g*z**3 - 774*g*z**2 - 2*g*z + 2217*z**6 - 1 wrt z. 120*g*z**3 - 6*g + 266040*z**3 What is the derivative of o**4 - 721*o**3 + 2907? 4*o**3 - 2163*o**2 What is the second derivative of -2*n**5 - 9*n**3 - 47*n wrt n? -40*n**3 - 54*n Find the second derivative of -1194*q**5*z - 211*q*z - q - 2*z wrt q. -23880*q**3*z What is the third derivative of 7532*i*u**4 - 2796*i*u**2 + i - u**5 wrt u? 180768*i*u - 60*u**2 What is the third derivative of 294*k**3*s**5 - 4*k**3*s**2 - k**3*s - 314*k*s**2 - 2*k - 20*s**3 wrt s? 17640*k**3*s**2 - 120 Find the third derivative of -875*d**4 + d**3 - 472*d**2. -21000*d + 6 What is the third derivative of -104
{ "pile_set_name": "DM Mathematics" }
hat is next in -485, -999, -1605, -2351, -3285, -4455? -5909 What is the next term in 1011, 3989, 8937, 15855, 24743? 35601 What is the next term in 7906188, 7906183, 7906176, 7906167, 7906156, 7906143, 7906128? 7906111 What is the next term in -613205447, -613205446, -613205447, -613205450, -613205455, -613205462? -613205471 What is the next term in 780625, 780599, 780573, 780547, 780521? 780495 What is next in 6864248, 27457030, 61778354, 109828238, 171606700, 247113758? 336349430 What comes next: -268226, -268130, -268034, -267938, -267842? -267746 What is the next term in -9945492, -19891007, -29836522? -39782037 What comes next: -31863372, -31863373, -31863374, -31863375, -31863376, -31863377? -31863378 What comes next: -13, -115, -115, -13, 191, 497? 905 What comes next: 20134, 20388, 20818, 21424, 22206, 23164, 24298? 25608 What is the next term in 314460, 628901, 943342? 1257783 What is next in 376386, 376210, 375918, 375510, 374986, 374346? 373590 What is next in 57440285, 57440287, 57440291, 57440297? 57440305 What is the next term in -6636, -12148, -17660? -23172 What is next in -2119027, -2119004, -2118965, -2118904, -2118815, -2118692, -2118529, -2118320? -2118059 What is next in -97695, -97767, -97839? -97911 What comes next: -143, -1085, -3649, -8645, -16883, -29173, -46325? -69149 What is the next term in -57573, -230313, -518237, -921351, -1439661? -2073173 What is next in 6259, 6214, 6163, 6106? 6043 What comes next: 8762, 31712, 68854, 120188, 185714? 265432 What is the next term in 512761, 2050970, 4614641, 8203774, 12818369, 18458426, 25123945? 32814926 What comes next: 1308932, 1308931, 1308930, 1308929? 1308928 What comes next: -4600, 8609, 21818? 35027 What comes next: 6267, 23847, 52743, 92955, 144483, 207327, 281487? 366963 What is next in -22424, -44782, -67140, -89498, -111856? -134214 What is the next term in -10, 214, 814, 1976, 3886? 6730 What comes next: 11, 364, 1071, 2228, 3931, 6276, 9359? 13276 What is next in -18, -248, -588, -1032, -1574? -2208 What is the next term in 2711, 2628, 2555, 2492? 2439 What comes next: 11190, 22414, 33662, 44940, 56254, 67610, 79014, 90472? 101990 What is next in -338, -1460, -3354, -6038, -9530, -13848, -19010? -25034 What comes next: 3355, 13471, 30661, 55195, 87343, 127375? 175561 What is the next term in -46093, -184066, -414009, -735922? -1149805 What comes next: 2586776, 5173385, 7759994, 10346603? 12933212 What is the next term in 4738, 18726, 42014, 74602, 116490, 167678? 228166 What is the next term in -1052256, -2104511, -3156768, -4209027, -5261288, -6313551, -7365816? -8418083 What is the next term in 1925, 4165, 7881, 13073? 19741 What is the next term in -448814, -449358, -449898, -450434, -450966, -451494, -452018? -452538 What is next in 715, 1326, 1945, 2554, 3135, 3670? 4141 What is next in -32160, -33790, -35410, -37014, -38596? -40150 What comes next: -78268910, -78268914, -78268918? -78268922 What comes next: -123237, -123212, -123173, -123120, -123053? -122972 What is the next term in -5156353, -5156350, -5156339, -5156314, -5156269, -5156198? -5156095 What is next in -47930, -47647, -47352, -47039, -46702, -46335, -45932, -45487? -44994 What comes next: -88806, -178388, -267970? -357552 What comes next: 15980, 130090, 439808, 1042934, 2037268, 3520610, 5590760? 8345518 What is next in -3549724, -7099331, -10648938, -14198545, -17748152? -21297759 What is next in 2643981, 5287920, 7931817, 10575672, 13219485? 15863256 What is next in 9237, 9238, 9235, 9228, 9217, 9202, 9183? 9160 What comes next: -8073252, -8073254, -8073256? -8073258 What is the next term in 46951, 93585, 139907, 185917, 231615, 277001, 322075? 366837 What is next in -1011, -8288, -28075, -66624, -130187, -225016? -357363 What is the next term in -75182, -149988, -224418, -298472? -372150 What comes next: 6700, 7187, 7994, 9115, 10544, 12275, 14302? 16619 What is the next term in -14425, -28274, -42109, -55924, -69713, -83470, -97189? -110864 What is the next term in 153493140, 613972582, 1381438310, 2455890318, 3837328600, 5525753150? 7521163962 What is the next term in -24576817, -24576814, -24576809, -24576802, -24576793, -24576782, -24576769? -24576754 What is next in 388, 375, 206, -119, -600, -1237? -2030 What is next in -3620, -28640, -96536, -228740, -446684, -771800? -1225520 What is next in -26155, -26497, -27067, -27865, -28891, -30145, -31627? -33337 What is next in 1754, 2160, 3162, 5024, 8010? 12384 What comes next: 1496048, 1496073, 1496130, 1496231, 1496388, 1496613? 1496918 What is next in 11669145, 23338294, 35007443, 46676592, 58345741? 70014890 What is next in 8168, 23159, 48144, 83123, 128096? 183063 What comes next: -410562180, -821124359, -1231686538? -1642248717 What is next in -874, -4018, -11672, -26086, -49510, -84194, -132388? -196342 What is next in 1264822, 1265111, 1265402, 1265695, 1265990, 1266287? 1266586 What is the next term in 1701, 2701, 4433, 6897? 10093 What is the next term in -32431, -53562, -74693, -95824? -116955 What is the next term in -394774, -788692, -1182610, -1576528, -1970446, -2364364? -2758282 What comes next: 217326, 434615, 651904? 869193 What is the next term in 17139140, 17139169, 17139198, 17139227, 17139256, 17139285? 17139314 What is next in -132149, -130980, -129017, -126248, -122661, -118244, -112985, -106872? -99893 What is next in -38798, -77517, -116322, -155255, -194358? -233673 What comes next: -16792, -16864, -16984, -17152, -17368, -17632? -17944 What comes next: 7415, 60235, 203923, 484013, 946039, 1635535? 2598035 What is next in 95530, 764313, 2579576, 6114559, 11942502, 20636645, 32770228, 48916491? 69648674 What comes next: -1330, -4575, -8978, -13717, -17970? -20915 What comes next: -75375, -150916, -226457? -301998 What is the next term in -293, -4540, -16671, -40628, -80353, -139788, -222875? -333556 What comes next: 26860, 26882, 26918, 26968, 27032? 27110 What is next in -552, -1194, -1806, -2388, -2940? -3462 What is the next term in -4060864, -4060858, -4060852? -4060846 What is next in -422, -811, -1300, -2027, -3130? -4747 What comes next: -467074, -934116, -1401158, -1868200, -2335242? -2802284 What is next in -75342, -150699, -226108, -301599, -377202, -452947, -528864? -604983 What comes next: -47528819, -95057642, -142586465? -190115288 What comes next: -74731, -73239, -71747, -70255, -68763? -67271 What is next in 5401671, 5401677, 5401687, 5401701, 5401719, 5401741? 5401767 What comes next: 561, 3620, 11243, 25494, 48437? 82136 What is the next term in 97883, 97558, 97243, 96944, 96667? 96418 What is next in -237390, -948927, -2134822, -3795075, -5929686, -8538655? -11621982 What is next in -86, -2010, -4812, -8162, -11730, -15186? -18200 What is the next term in 4461, 11438, 20933, 32946? 47477 What comes next: 60341256, 60341264, 60341276, 60341292? 60341312 What is next in -163153, -163098, -162959, -162694, -162261, -161618, -160723? -159534 What is next in -3968, -16194, -36526, -64964, -101508? -146158 What comes next: -17847, -141877, -478533, -1134129, -2214979? -3827397 What is next in -15929, -16044, -16151, -16250, -16341, -16424, -16499? -16566 What comes next: 521488, 522395, 524852, 529633, 537512? 549263 What is the next term in 1476425, 1476409, 1476369, 1476293, 1476169, 1475985, 1475729? 1475389 What is the next term in -2646625, -5293243, -7939865, -10586491? -13233121 What is next in 434271, 868545, 1302813, 1737075? 2171331 What is next in -12887031, -12887019, -12887007, -12886995, -12886983, -12886971? -12886959 What is the next term in -1414, -2510, -3622, -4744, -5870? -6994 What comes next: -250, -3317, -11928, -28945, -57230, -99645? -159052 What comes next: 3291671167, 3291671166, 3291671165, 3291671164? 3291671163 What is the next term in 6927, 7059, 7237, 7461, 7731, 8047, 8409? 8817 What comes next: -3000, -5850, -8726, -11634, -14580, -17570? -20610 What is next in 1691, 3767, 6153, 8849, 11855? 15171 What is the next term in -48119, -48546, -48973? -49400 What is the next term in -21574, -172766, -583146, -1382308, -2699846, -4665354, -7408426? -11058656 What is the next term in -1949, -7815, -17605, -31319, -48957, -70519, -96005? -125415 What is next in -12237,
{ "pile_set_name": "DM Mathematics" }
e second derivative of 13*k**3/3 + 5*k**2/2 - 20*k + 23. Let a(x) = 1. Calculate 4*a(g) - h(g). -26*g - 1 Let f(q) = 1. Let u = 472 - 474. Let j(y) = y**3 + 3*y**2 - y + 3. Let x(t) = -2*t**2 + t - 4. Let p(c) = u*j(c) - 3*x(c). Give -4*f(z) + p(z). -2*z**3 - z + 2 Let h(b) = 6*b**2 + 20*b - 11. Let u = -4499 + 4488. Let k(q) = 2*q**2 + 7*q - 4. Let o(v) = -2*v + 24. Let n be o(10). Determine n*h(s) + u*k(s). 2*s**2 + 3*s Let a(f) = -6*f**2 + 3*f + 514. Let l(b) = 13*b**2 - 5*b - 1029. What is 5*a(o) + 3*l(o)? 9*o**2 - 517 Let t(n) = -n**2 - 3*n + 2. Suppose 0 = 2*o + x + 1109, 0 = 9*o - 11*o - 2*x - 1108. Let h = o - -552. Let f(u) = -2*u + 1. Determine h*t(s) + 4*f(s). 3*s**2 + s - 2 Let c(s) = -1502*s**2 - 18*s + 18. Let d(q) = 234311*q**2 + 2805*q - 2805. Calculate -935*c(y) - 6*d(y). -1496*y**2 Suppose -g = -1, 0 = -r + 2*g - 4. Let x(s) be the first derivative of 3*s**4/4 + s**2/2 + 2*s - 7391. Let w(t) = -4*t**3 - t - 3. What is r*w(k) - 3*x(k)? -k**3 - k Let f(d) = 2*d**3 + 3*d**2 + 286*d + 9. Let x(g) = 2*g**3 + 2*g**2 + 285*g + 6. Calculate 2*f(z) - 3*x(z). -2*z**3 - 283*z Let q be -5 - (7 + (-11 - 6)). Suppose -k + 4*l = -3, -q*k - 3*l = 1 + 7. Let j(x) = 1 + 2*x - 2*x + x. Let v(t) = -4*t - 3. What is k*v(r) - 3*j(r)? r Let g(h) = 5*h - 32. Let q be g(7). Suppose 16 = l + q*l. Let a(p) = -p. Let r(j) = 2*j. Let x be (-24)/(-30)*(-1 + 16). Determine l*r(c) + x*a(c). -4*c Let i be (6/(-16)*-2)/(138/(-736)). Let d(v) = 21*v**3 - 2*v**2 - 7. Let y(g) = -11*g**3 + g**2 + 4. Calculate i*d(u) - 7*y(u). -7*u**3 + u**2 Let l(o) = 38*o**3 - 19*o**2 + 7*o + 46. Let j(t) = 78*t**3 - 35*t**2 + 13*t + 90. Calculate -6*j(q) + 11*l(q). -50*q**3 + q**2 - q - 34 Let g(o) be the third derivative of o**4/12 + 7*o**3/6 - o**2. Let x(i) = i - 1. Let j be x(-4). Let b(z) = 207 - 152 - z - 32 - 29. What is j*b(c) - 4*g(c)? -3*c + 2 Let r(u) = -11438*u. Let v(o) = 2230410*o. Give 2926*r(g) + 15*v(g). -11438*g Let v(l) = 13*l - 151. Let r(a) = 8*a - 99. What is -8*r(y) + 5*v(y)? y + 37 Let s(p) = -6*p**3 - 21*p**2. Let l(b) = -7*b**2 + b**3 + 0*b**3 - 2*b**3 + 3*b**2. Suppose 0 = t - 2*k + 4, -k = 5*t - 2*k + 11. Calculate t*s(z) + 11*l(z). z**3 - 2*z**2 Let c be 10/(-6 - -1) - -1. Let v be (2/(-8) + -1)/(c/4). Let w(t) = -t + 5. Let x(s) = 2*s - 8. Let d be (2/1)/((-1)/(-4)). Calculate d*w(j) + v*x(j). 2*j Let a(d) = 7*d**3 + 9*d**2 - 978*d. Let l(p) = 10*p**3 + 13*p**2 - 1469*p. What is -7*a(x) + 5*l(x)? x**3 + 2*x**2 - 499*x Suppose 0 = -x - 2*o - 125 + 124, 0 = 2*x + 5*o + 3. Let y(p) = p - 1. Let j(v) = 18*v - 15. Determine x*j(c) - 12*y(c). 6*c - 3 Let o(x) = 4*x + 97 - 2*x + 3*x - 197 + 102. Let i(l) = -l. Give -6*i(p) - o(p). p - 2 Let c(a) = 4*a**3 - 15*a**2 - 2*a - 5. Let h(o) = -o**3 - o**2 + o - 6. Calculate -c(p) - 2*h(p). -2*p**3 + 17*p**2 + 17 Let l = -46 - -179. Let w be 3 - (l/(-76) - (-6)/8). Let y(d) = -6*d + 4. Let j(r) = 6*r - 5. Calculate w*j(n) + 5*y(n). -6*n Let w(q) be the second derivative of -7/2*q**2 - 56*q - 4/3*q**3 - 1. Let v(s) = -s - 1. Determine -5*v(f) + w(f). -3*f - 2 Let j(g) = -2. Let z(i) = 11. Let a(r) = 5*j(r) + z(r). Let o be (90/(-12))/5*(-2)/3. Let w(n) = -3*n - 6. Determine o*w(y) + 6*a(y). -3*y Let y(a) = 9*a**3 - 44*a**2 - 14*a - 4. Let k(w) = 16*w**3 - 87*w**2 - 27*w - 7. Calculate -3*k(l) + 5*y(l). -3*l**3 + 41*l**2 + 11*l + 1 Let x(r) = r - 3. Let d(u) = u - 3. Let v = -3 + -3. Suppose -2550*q + 478*q + 10360 = 0. What is q*x(w) + v*d(w)? -w + 3 Let w(h) = 7*h**2 - 318*h + 19. Let u(n) = -8*n**2 + 320*n - 22. Give -6*u(p) - 7*w(p). -p**2 + 306*p - 1 Let n(o) = -o - 1. Let i(g) = 193*g - 7. Calculate i(t) - 4*n(t). 197*t - 3 Let m(s) = 2117*s**3 - 8*s**2 - 104*s. Let q(v) = 2118*v**3 - 7*v**2 - 91*v. Give 7*m(b) - 8*q(b). -2125*b**3 Let d(w) = 134*w - 1315. Let b(k) = 246*k - 2628. What is -6*b(a) + 11*d(a)? -2*a + 1303 Let a(k) be the first derivative of 1/3*k**3 + 1/2*k**2 - 61 - k. Let b(t) = -7*t**3 + t**2 + t - 1. Determine a(c) - b(c). 7*c**3 Let z(q) = 90*q - 20. Let f(g) = -32*g + 6. Calculate 8*f(p) + 3*z(p). 14*p - 12 Let y(r) = 3*r**3 - 3*r**2 + 3*r. Let f(z) be the third derivative of -z**6/20 + z**5/12 - 5*z**4/24 + 301*z**2 - 7*z. What is -3*f(m) - 5*y(m)? 3*m**3 Let f(m) = 17*m**2 - 5 + 13*m + 12*m**2 - 25*m**2. Suppose 7*u = 4*u + v - 24, v = -4*u - 39. Let j(z) = -2*z**2 - 6*z + 2. Give u*j(p) - 4*f(p). 2*p**2 + 2*p + 2 Let q(u) = 5*u**3 - 277*u**2 - 4*u - 4. Let b(l) = l**3 - 2*l**2 - l - 1. Give -4*b(j) + q(j). j**3 - 269*j**2 Let m(u) = -2*u**2 + 2*u. Let d(l) = l**3 + 6*l**2 - 2. Let g be d(-5). Suppose -3*a = -g - 40. Let t(x) = 49 - a - 27. Give m(s) + 2*t(s). -2*s**2 + 2*s + 2 Let m(b) = -60 - 17 - 149*b + 168*b + 58*b + 286*b**2. Let h(n) = 15*n**2 + 4*n - 4. Give -77*h(q) + 4*m(q). -11*q**2 Suppose 2*t = -4*x - 46, -3*t + 33 = 48. Let u(w) = 2*w + 1. Let d(b) = -8*b - 5. Calculate x*u(i) - 2*d(i). -2*i + 1 Let b(l) be the third derivative of l**4/8 - 4*l**3/3 + l**2 + 67. Let u(a) = a**2 - 4*a + 9. Determine -4*b(v) - 3*u(v). -3*v**2 + 5 Let k(q) = -34*q**2 - 12*q - 118. Let g(n) = 54*n**2 + 19*n + 177. Give 5*g(o) + 8*k(o). -2*o**2 - o - 59 Let a(q) = -3*q**3 - 2*q**2. Let o = 72 + 5. Let g = -85 + o. Let h be 4/g*((0 - -1) + -5). Let p(r) = -7*r**3 - 5*r**2. Give h*p(b) - 5*a(b). b**3 Let j(k) = -17*k**2. Let l(h) = 35*h**2. Suppose 32*y - 13 = 38*y + 5. Give y*l(f) - 7*j(f). 14*f**2 Let c(r) = -r**2 - 2*r + 5. Let x(h) = -h + 4. Let j = -96 + 110. Let n be (7/j + 5/(-2))*-5. Let o be 8/((-7)/((-35)/n)). Determine o*x(a) - 3*c(a). 3*a**2 + 2*a + 1 Suppose 2*j + 41 = 23. Let f(n) = 13*n**2 + 1 + 2*n + 3*n - 15*n**2 - 4*n + 0. Let w(h) = -8*h**2 + 5*h + 5. Give j*f(r) + 2*w(r). 2*r**2 + r + 1 Let v(u) = -19*u + 146. Let i(a) = 23*a - 149. Calculate -3*i(z) - 4*v(z). 7*z - 137 Let s(w) = 5*w**2 + 6*w - 6. Let y(u) = 3463*u**2 + 3616*u**2 + 8*u - 7093*u**2 + 17 - 27*u. Calculate 17*s(x) + 6*y(x). x**2 - 12*x Suppose 279 = -93*q + 837. Let a(z) = 20*z**3 + 17*z**2 + 17*z + 17. Let m(o) = -7*o**3 - 6*o**2 - 6*o - 6. What is q*a(x) + 17*m(x)? x**3 Suppose -3261*b = 7089*b - 2763*b + 22761. Let w(z) = -1. Let d(j) = j + 2. Let u be d(0). Suppose -7 = -5*y - u. Let a(s) = 3*s - 4. Calculate b*w(r) + y*a(r). 3*r - 1 Let i(v) be the first derivative of -7*v**2/2 + 5*v - 6. Let a = 2 + 17. Suppose -f - 25 + a = 0. Let l(d) = -8*d + 6. Give f*l(s) + 7*i(s). -s - 1 Let s(c) = 22*c**3 + 4*c - 2. Let h(x) = -7*x + 5*x**3 - 48*x**3 + 721862 - 721858. Determine 4*h(v) + 7*s(v). -18*v**3 + 2 Let f(b) = -7*b**3 + 3*b**2 + 10*b + 1. Let l(a) = -14*a**3 + 5*a**2 + 19*a + 4. Calculate 11*f(u) - 6*l(u). 7*u**3 + 3*u**2 - 4*u - 13 Let g(f) = 33*f**3 - 6*f**2 - 4*f. Let b(u) = 5*u**3 - u**2 - u + 3. Calculate 6*b(x) - g(x). -3*x**3 - 2*x + 18 Let i(h) = 4323280*h + 49884. Let b(s) = -4161*s - 48. Determine 4157*b(o) + 4*i(o). -4157*o Let q(k) = -2. Let f = 131 - 131. Suppose 5*b + f*v + 5*v = -10, 4*b = v + 12. Let z(w) = w + 2. Give b*q(n) + 3*z(n). 3*n + 2 Let d(b) = -54*b**3 - 2*b + 515. Let m(n) = 132*n**3 + 5*n - 1029. Calculate 5*d(p) + 2*m(p). -6*p**3 + 517 Let a be (253/(-55) - 12 - -16)*5. Let l(c) be the second derivative of c**4/4 + c**3/6 - c**2/2 + 2*c. Let z(u) = -4*u**2 - 2*u + 2. Calculate a*l(w) - 2*z(w). -w**2 + w - 1 Let v(s) = 295*s**3 - 18*s**2 - 21*s - 18. Let d(h) = 148*h**3 - 8*h**2 - 10*h - 8. Calculate 9*d(m) - 4*v(m). 152*m**3 - 6*m Let o(r) = -31845*r + 5. Let j(y) = -5306*y + 1. Calculate -17*j(l) + 3*o(l). -5333*l - 2 Suppose 4*j - 36 = -4*x, -x + 3*j = -3*x + 23. Let g(p) = x*p - 6*p - 6 - 7*p. Let b(c) = -5*c - 3. What is -11*b(f) + 6*g(f)? f - 3 Suppose 72*a = 71*a + 5*m - 41, -2*a + 3*m = 19. Let p(v) = 0 - 2 + 11*v**3 - 1. Let w(f) = -12*f**3 + 4. Give a*p(c) + 3*w(c). 8*c**3 Let f(b) = -29*b**2 - 80*b + 3. Let o(p) = 30*p**2 + 93*p - 3. Determine -7*f(q) - 6*o(q). 23*q**2 + 2*q - 3 Let r(t) = -3*t**2 - 5*t + 4. Let v(m) = 10*m**2 + 15*m - 13. Let o be -8*(-8 - (-429)/52). What is o*v(s) - 7*r(s)? s**2 + 5*s - 2 Let c(n) = -30*n**2 - 6*n + 29. Let z(u) = 15*u**2 + 2*u - 5. What is 2*c(f) + 5*z(f)? 15*f**2 - 2*f + 33 Let a(u) = 27*u - 5. Let z(w) = -41*w + 7. Let y(l) = -8*a(l) - 5*z(l). Let k(v) = 10*v - 4. Suppose 291*m - 305 = 1150. Give m*y(x) + 6*k(x). 5*x + 1 Sup
{ "pile_set_name": "DM Mathematics" }
*2 - 7*f + 6. Let g(q) = 2*q**3 + 6*q**2 + 6*q - 5. Calculate p*g(a) - 6*n(a). -2*a**3 - 1 Let v be 2/4 + 5/(-2). Let s(q) = 14*q + 46. Let d(u) = -4 - 3 - 9 - 5*u + 0. Let t(f) = 17*d(f) + 6*s(f). Let z(l) = 4*l - 13. Give v*z(a) - 7*t(a). -a - 2 Let v(g) = -75 + 0*g**2 - 3*g**2 + 78 + 0*g**2 - 2*g**3. Let h(w) = -w**3 - w**2 + 1. Calculate 6*h(t) - 2*v(t). -2*t**3 Let d(t) = 5*t. Let w(g) = -44*g - 3. Let a(v) = 75*v + 5. Let n(u) = 3*a(u) + 5*w(u). Give -4*d(x) + 5*n(x). 5*x Let i(y) = y**2 + 4. Let z = 258 - 255. Let p(k) = -2*k**2 - 4. Determine z*i(x) + 2*p(x). -x**2 + 4 Let b(u) = -1233*u**3 + 33*u**2 + 33*u - 33. Let v(j) = -77*j**3 + 2*j**2 + 2*j - 2. Give -2*b(t) + 33*v(t). -75*t**3 Let c(j) be the first derivative of 11*j**2/2 + 5*j - 4. Let l(m) = m + 1. Give c(o) - 5*l(o). 6*o Let o(z) = z**3 + z**2 - 2*z - 1. Let p(b) = -2*b**3 + 151*b**2 + 12*b + 6. Give 6*o(k) + p(k). 4*k**3 + 157*k**2 Let u(l) = -2*l - 2. Let h(a) = -14*a - 256. Let x be h(-19). Let g(z) = 6*z + 6. Let k(r) = -7*r - 7. Let q(n) = 4*g(n) + 3*k(n). What is x*u(m) + 6*q(m)? -2*m - 2 Let i(l) = 7*l**3 - 5*l - 1. Let c = -2498 + 2504. Let m(d) = 8*d**3 - 6*d - 1. Calculate c*i(s) - 5*m(s). 2*s**3 - 1 Let g be ((-1034)/282)/((-2)/(-42)). Let s(q) = -91*q**3 + 77. Let k(n) = 7*n**3 - 6. What is g*k(j) - 6*s(j)? 7*j**3 Let o(l) = 2*l**3 - l + 2. Let s(x) = 225*x**3 + 4*x - 8. Determine -20*o(t) - 5*s(t). -1165*t**3 Let u(g) = -8*g + 9. Let f(k) = k**2 + 3*k - 5. Let z be f(-5). Let s = z - -2. Let j(a) = -7*a + 8. Determine s*j(c) - 6*u(c). -c + 2 Let p(d) = 40*d**2 - 24*d - 12. Let s(m) = -14*m**2 + 8*m + 4. What is 6*p(b) + 17*s(b)? 2*b**2 - 8*b - 4 Let x(t) be the second derivative of -t**3/2 + 3*t**2/2 + t. Let z(y) = 1. Let k(p) = p. Let d = 56 - 57. Let j(c) = d*k(c) + z(c). Give -11*j(b) + 4*x(b). -b + 1 Let n(o) = -2 + 37*o - 23*o - 17*o. Let x(b) be the first derivative of -25*b**2/2 - 17*b - 96. Determine -51*n(v) + 6*x(v). 3*v Let u(w) = -22*w - 1980. Let d(l) = 13*l + 1188. Give 12*d(z) + 7*u(z). 2*z + 396 Let g(y) = -25*y. Let w(u) = 2*u. Let j(s) = -5*s. Let l(h) = 3*j(h) + 7*w(h). What is g(z) - 20*l(z)? -5*z Let p(c) be the third derivative of 17*c**5/60 + c**4/8 + 94*c**2. Let a(l) = 392*l**2 + 70*l. What is 3*a(r) - 70*p(r)? -14*r**2 Let l(j) = -4*j**2 - 2. Suppose -31*h + 19*h = 36. Let s(y) = -2 - y**2 + 6*y**2 + 5. Let w = 4 + -8. Calculate h*s(q) + w*l(q). q**2 - 1 Let b(k) = -10*k - 51. Let y(m) = -8*m - 51. Give 2*b(g) - 3*y(g). 4*g + 51 Let x(k) = 2*k**2 + 13*k + 86. Let v(o) = -6*o**2 - 36*o - 256. Give -5*v(b) - 14*x(b). 2*b**2 - 2*b + 76 Let x(g) = -3*g**2 - 6*g + 6. Let t(v) = 17*v + 10*v - 5 - 22*v + 2*v**2. What is 6*t(c) + 5*x(c)? -3*c**2 Let o(y) = 9*y + 5. Let u(r) = 20*r + 10. Calculate 7*o(h) - 3*u(h). 3*h + 5 Let b(r) = -2*r**3 + 3*r**2 + 3*r. Let i = -688 + 682. Let s(p) = p**3 - p**2 - p. What is i*s(h) - 2*b(h)? -2*h**3 Let g(f) = -4*f**3 - 7*f - 9. Let c = -3 - -10. Let y(p) be the first derivative of -p**4/2 - 2*p**2 - 5*p - 207. Determine c*y(v) - 4*g(v). 2*v**3 + 1 Let f(p) = p**3 - 16*p**2 - 16*p - 15. Let c be f(17). Let a(s) = 8*s**2 + s**3 - 10*s**2 + 0*s**3 + 2*s. Let z(o) = -o**3 + o**2 - o. Calculate c*z(b) + a(b). -b**3 Let b(o) = 349*o**2. Let w(d) = -12390*d**2. Determine 177*b(s) + 5*w(s). -177*s**2 Let b(n) = n**2 + 18*n**3 + 5*n**2 + 6 - 15*n**3. Let c be 2*(19/(-2) + 4). Let o(x) = 4 - 6 + 5*x**3 + 11*x**2 + 13. Determine c*b(v) + 6*o(v). -3*v**3 Let f(l) = -l**3 + 11*l**2 + 18*l + 17. Let w(h) = -5*h**2 - 8*h - 8. Determine 4*f(c) + 9*w(c). -4*c**3 - c**2 - 4 Let g(f) = 4*f**3 - 145*f**2 + 2*f + 6. Let h(n) = 7*n**3 - 291*n**2 + 3*n + 10. Give -5*g(z) + 3*h(z). z**3 - 148*z**2 - z Let g(d) = 2*d**2 + 3*d - 3. Let a(l) = 3*l**2 + 4*l - 5. Let n(k) = -3*a(k) + 5*g(k). Let r(i) = -2*i**2 - 5*i. What is 5*n(p) + 3*r(p)? -p**2 Let l be 1584/(-384) + (-1)/(-8). Let a(w) = 5*w**2 - w - 2. Let r(z) = 14*z**2 - 2*z - 6. Calculate l*r(v) + 11*a(v). -v**2 - 3*v + 2 Let s(l) = 4*l**3 + 2*l**2 - 6*l + 6. Suppose 4*b - 15 = b, -5*r - 5*b = -55. Let x(f) = 3*f**3 + 2*f**2 - 5*f + 5. Determine r*x(k) - 5*s(k). -2*k**3 + 2*k**2 Let b(w) = -2269 + 15*w**2 + 2269 - 5*w. Let y(p) = -38*p**2 + 12*p. Determine 12*b(d) + 5*y(d). -10*d**2 Let c(f) = 2*f - 20. Let b(o) = -o + 11. Determine -5*b(i) - 3*c(i). -i + 5 Let u(m) = m + 21. Let y(t) = t + 23. Give 4*u(p) - 3*y(p). p + 15 Suppose -12 = -c + 2*c - 2*p, -7 = -4*c - 3*p. Let h(f) be the first derivative of -f**4/2 + 2*f**3/3 - f - 154. Let v(t) = t**2. Determine c*v(m) + h(m). -2*m**3 - 1 Let p(h) = -2*h**2 + 5*h - 46. Let l(o) = 4. Give 5*l(z) + p(z). -2*z**2 + 5*z - 26 Let u(y) = y**2. Let s(o) be the first derivative of 0*o**2 - 2*o + 2/3*o**3 + 1. Calculate s(g) + u(g). 3*g**2 - 2 Let j be (1 - -26)*(-1)/(-3). Let z(f) = -2*f + 5. Suppose -2 = 2*p + 5*i, -3*p + 5*i + 14 = -2*p. Let h(a) = a - 2. What is j*h(y) + p*z(y)? y + 2 Let d(h) = -36210*h**3 - 497*h**2 - 497*h + 497. Let c(x) = 146*x**3 + 2*x**2 + 2*x - 2. Calculate -497*c(r) - 2*d(r). -142*r**3 Let w(a) = 33*a**3 - 17*a**2 - 17. Let z(p) = -4*p**3 + 2*p**2 + 2. Suppose 545*v + 153 = 548*v. Determine v*z(o) + 6*w(o). -6*o**3 Let h(k) = -5*k**3 - 5*k**2 - 2*k - 13. Let g(f) = 6*f**3 + 6*f**2 + 3*f + 14. Give -2*g(o) - 3*h(o). 3*o**3 + 3*o**2 + 11 Let d(n) = n**3 - 53*n. Let k(g) = -3*g**3 + 107*g. Calculate -5*d(c) - 2*k(c). c**3 + 51*c Let h(v) = 2*v + 1. Suppose -2*m = -4*m - 2. Let o = -457 + 454. Let g(b) be the third derivative of -b**4/24 - b**3/6 + b**2. What is m*h(d) + o*g(d)? d + 2 Let t be (1 - 0)/((-5)/(-305)). Let u = t - 67. Let q(k) = k + 5. Let b(g) = 2*g + 9. Calculate u*b(a) + 11*q(a). -a + 1 Let w(d) = -d**3 - d**2 + d. Let s(k) = -87*k + 320. Let g be s(4). Let l(j) = -9*j**3 - 7*j**2 + 7*j. Calculate g*w(b) + 4*l(b). -8*b**3 Suppose t - 6*t = -35. Suppose 8*b - t*b = 4. Let d(o) = -20*o + 17. Let y(n) = -6 + 0 - 2*n + 9*n. Calculate b*d(p) + 11*y(p). -3*p + 2 Let n(x) = 3*x**2 - 11*x. Let k(c) = 6*c + 12 - c**2 - 2*c - 12. Let u be 128/3 + (-10)/15. Suppose 4*p - u = 2. Calculate p*k(y) + 4*n(y). y**2 Let o(u) = 34*u**2 - 316. Let z(m) = -6*m**2 + 63. What is 2*o(c) + 11*z(c)? 2*c**2 + 61 Let f be 3/(-12) + (-15)/20. Suppose 48 = 5*u + 4*v, -3*u + 21 = 3*v - 9. Let q(c) = 9 - 2 - u. Let a(w) = w - 4. What is f*a(t) + 5*q(t)? -t - 1 Let a(z) = -111*z**2 - 3*z - 2. Let p(g) = -113*g**2 - 4*g - 3. What is -3*a(k) + 2*p(k)? 107*k**2 + k Let l(g) = 2*g + 32. Let s(y) = -y - 17. Let t(c) = 6*l(c) + 11*s(c). Let q(o) = -2*o - 6. Calculate -3*q(j) - 4*t(j). 2*j - 2 Let l(z) = z**3 + 9*z**2 - 10*z - 141. Let d be l(-8). Let j(b) = b + 2. Let o(x) = 2. Give d*o(s) - 4*j(s). -4*s - 2 Let k(n) = -11*n**2 + 59*n + 3. Let p(z) = 4*z**2 - 22*z - 1. Let m(r) = 3*k(r) + 8*p(r). Let y(o) = -6*o**2 + 4*o + 5. Determine -11*m(h) + 2*y(h). -h**2 - 3*h - 1 Let n(d) = -4*d + 2. Let x(o) = o**3 - o**2 + 2*o + 1. Let r be x(-2). Let m = 20 + r. Suppose -11 = 2*i + 5. Let l(v) = -6*v + 3. Determine i*n(f) + m*l(f). 2*f - 1 Let h(v) = 8 - 15 - v + 7. Let d(o) = -2*o + 1. Let i be (-3)/(3/(2 - 35)). Let p be -3*(i/(-9) - -3). Calculate p*d(g) - 6*h(g). 2*g + 2 Let b(o) = o**2 - 26*o + 53. Let p be b(2). Let q(n) = n**3 + n. Let c(x) = 6*x**3 + 2*x**2 + 5*x + 1. Determine p*q(t) - c(t). -t**3 - 2*t**2 - 1 Let w(v) = 2*v**2 + 2*v + 2. Suppose 0*t + 5*t = 20. Let y(m) = m**2 + m + 1. Let p be (-402)/(-201)*(-1)/2. Give p*w(o) + t*y(o). 2*o**2 + 2*o + 2 Let d(q) = -17*q**2 + q - 1. Let w(z) = -z**2 - z. Give d(a) + 2*w(a). -19*a**2 - a - 1 Let f(h) = -6*h - 3. Suppose 2*x + 0*x - 6 = 0. Suppose 8*q - 3*q = x*a - 3, -3*a + 3 = -3*q. Let o(t) = q*t + t + 2*t + 2. Calculate -4*f(j) - 7*o(j). 3*j - 2 Let l(v) = -2*v**2 + 4. Let y(n) = 7 + 24 - 3*n**2 - 30 - 2*n**2 + 10. Determine 11*l(m) - 4*y(m). -2*m**2 Let h(z) = -5*z**2 + 2*z + 1. Let t(y) = 5*y**2 - 2*y - 2. Determine 7*h(c) + 6*t(c). -5*c**2 + 2*c - 5 Let q(r) = 5*r + 1 - 7550*r**2 + 0 - 2 + 7553*r**2. Let d(m) = -2*m**2 - 3*m + 1. Suppose -5*o = 4*t - 25, 3*t + 0*o = -3*o + 18. Give t*d(k) + 3*q(k). -k**2 + 2 Suppose 4*w = 20*w + 10*w - 104. Let c(z) = 2*z. Let n(b) = -2*b + 1. Let d(t) = t + 3. Let p be d(0). Calculate p*n(v) + w*c(v). 2*v + 3 Let b(i) = -338*i**2 - 5*i -
{ "pile_set_name": "DM Mathematics" }
*2 - 2*u - 7. What is 6*d(m) - 5*n(m)? 2*m**2 - 2*m - 1 Let h = 9 - 16. Let n(z) = 21*z + 4*z - 20*z + 0 + 5. Let l(q) = 3*q + 3. Give h*l(p) + 4*n(p). -p - 1 Let z(v) = -v - 17. Let i(m) = -1. Let s(f) = 2. Let y(o) = 2*i(o) - s(o). Suppose 16*t = 14*t + 164. Let h = 91 - t. Give h*y(r) - 2*z(r). 2*r - 2 Let n(z) = -3*z**2 - 4*z + 3. Let a(y) = 5*y**2 + 9*y - 7. Give 4*a(m) + 9*n(m). -7*m**2 - 1 Let q(w) = -w**2 + 3*w + 7. Suppose f - c - 1 = 0, -38 = -3*f - c - 3*c. Let x(b) = -b**2 + 3*b + 6. What is f*q(u) - 7*x(u)? u**2 - 3*u Let l(c) = -2*c + 4*c - c - 1. Let p(f) = -3*f**2 - 4*f - 5*f - 1 + 5*f + 5*f + 2*f**2. Determine -2*l(r) + 2*p(r). -2*r**2 Let p(c) be the third derivative of c**4/24 - c**3/6 + 4*c**2. Let v(m) = 0 + 1 - 3*m + 2 + 2*m**3. Let d(t) = -9*t + 26. Let o be d(3). Give o*v(n) - 3*p(n). -2*n**3 Let n(l) be the second derivative of 20*l - 11/12*l**4 + 0 + l**3 - 9/2*l**2. Let p(h) = -5*h**2 + 3*h - 4. Give 3*n(c) - 7*p(c). 2*c**2 - 3*c + 1 Let o be ((-2)/6)/(6/(-54)). Suppose 0 = -i + 2*i + 21. Let d = i - -20. Let w(x) = x**2 + 3*x + 4. Let t(a) = a + 1. Determine d*w(p) + o*t(p). -p**2 - 1 Suppose -16 = -i - 3*i. Let y(d) = -i*d**3 + 0*d**3 + 3*d**3. Let c(b) = b**3. Let a = -4 + 10. Calculate a*c(u) + 7*y(u). -u**3 Let h(c) = 20*c**2 - 12*c + 12. Let a(j) be the second derivative of j**4/12 - j**3/6 + j**2/2 + 15*j. What is -12*a(v) + h(v)? 8*v**2 Let p(f) = 3*f**3 + 5*f**2 + 6*f - 6. Let w(b) = -3*b**3 - 6*b**2 - 7*b + 7. Let x be ((-68)/8 - -7) + 60/8. Give x*p(d) + 5*w(d). 3*d**3 + d - 1 Let m(x) = -x - 124. Let d(h) = -2*h - 246. Give -4*d(i) + 9*m(i). -i - 132 Let c(h) = -h**2 - h. Let y(g) = -g**2 - 5*g + 1. Let v be (39/117)/(14/(-6) + 2). Give v*y(z) + 3*c(z). -2*z**2 + 2*z - 1 Let z(y) = -8*y**3 - 3*y + 11. Let d(o) = 8*o**3 + 4*o - 10. Determine 3*d(t) + 4*z(t). -8*t**3 + 14 Let m(w) = -279*w**2 - 81. Let b(k) = 0*k**2 - 3*k**2 + 5*k**2 - 117 + 119 + 5*k**2. What is -81*b(o) - 2*m(o)? -9*o**2 Let g(k) be the first derivative of 5*k**4/2 - 7*k**2 + 4*k - 2. Suppose 10*r + 3*r = -182. Let m(f) = 2*f**3 - 3*f + 1. Determine r*m(a) + 3*g(a). 2*a**3 - 2 Suppose -w - 21 = 5*m, -19 = 3*w + 2*m + 5. Let c(p) = 17 - 14*p**3 + 3*p**2 - 3*p**2. Let q = -39 - -22. Let l(s) = 5*s**3 - 6. What is q*l(k) + w*c(k)? -k**3 Let f(t) = -2*t**3 + 2*t**2 + 7*t. Suppose 2*h = 2, 5*o - 32 + 8 = h. Let l(w) = 2*w**3 - 2*w**2 - 8*w. Give o*l(i) + 6*f(i). -2*i**3 + 2*i**2 + 2*i Let c(h) = -1. Let b(w) = -5*w - 9. Calculate -b(r) + 2*c(r). 5*r + 7 Let p be 1/(-2)*(-27)/((-351)/26). Let f(u) = 17*u**3 - u**2 - 1. Let x(m) = -m**3 - m**2 - 1. Calculate p*x(s) + f(s). 18*s**3 Let b(c) = 2*c**2 - 421 - 3*c**2 + c + 422. Let n(v) = 9*v**2 - 6*v - 5. Calculate 6*b(i) + n(i). 3*i**2 + 1 Let p(b) = 5*b - 6. Let o(f) = -9*f + 11. Let a(j) = 37*j - 1. Let n be a(1). Let t = n + -40. What is t*o(i) - 7*p(i)? i - 2 Let d(t) = t - 5. Let q(b) be the second derivative of -b**3/6 + 9*b**2/2 - b. Let v(z) = 10*z**2 - 4*z - 1. Let g be v(1). Calculate g*d(m) + 3*q(m). 2*m + 2 Let v be (18/21)/((-2)/14). Let y(x) be the third derivative of -13*x**2 + 7/24*x**4 + 0 + x**3 + 0*x. Let s(p) = 8*p + 7. Give v*s(c) + 7*y(c). c Let d(w) = -195*w. Let c(i) = 391*i. Determine -2*c(t) - 5*d(t). 193*t Let u(i) = -130*i**3 - 5*i**2 + 5. Let x(r) = 65*r**3 + 3*r**2 - 3. Give -3*u(c) - 5*x(c). 65*c**3 Let l(b) = -13*b**2 - 9*b - 4. Let y(d) = 2*d**2 - 10*d - 3. Let r be y(5). Let a(c) = 6*c**2 + 4*c + 2. What is r*l(s) - 7*a(s)? -3*s**2 - s - 2 Let i(o) = o**2 + 2*o - 2. Let s(m) be the third derivative of -m**5/20 - 5*m**4/24 + m**3/2 - m**2 + 52. Calculate -5*i(w) - 2*s(w). w**2 + 4 Let a(h) = 22*h**3 + 4. Suppose 11*d - 80 = 27*d. Let y(t) = -11*t**3 - 2. Calculate d*y(g) - 2*a(g). 11*g**3 + 2 Let n(a) = -21*a - 105. Let s(g) = 45*g + 210. Give 13*n(l) + 6*s(l). -3*l - 105 Let r(f) = f**3 + f**2 + f - 1. Let p(a) = 27*a**3 + 36*a**2 + 36*a - 36. Suppose 0 = -9*x - 69 + 393. Determine x*r(y) - p(y). 9*y**3 Let q(y) be the second derivative of -7*y**3/6 - 364*y. Let g(t) = -4*t. Let x = 0 + 3. Let d be ((-5)/4)/(1/4). What is d*g(h) + x*q(h)? -h Let p(m) = -21*m**3 - 8*m**2 - m + 1. Let t(u) = -41*u**3 - 15*u**2 - 2*u + 1. Determine -11*p(n) + 6*t(n). -15*n**3 - 2*n**2 - n - 5 Let h(b) = b**2 - 6*b. Let y(v) be the second derivative of -v**6/144 - 41*v**4/12 - 48*v. Let x(z) be the third derivative of y(z). Determine -3*h(j) + 4*x(j). -3*j**2 - 2*j Let x(m) be the third derivative of m**4/6 - m**3/3 - 43*m**2. Let w(c) = -3*c + 2. Give 2*w(l) + 3*x(l). 6*l - 2 Let p(d) be the first derivative of 0*d - 1/2*d**2 - 32 - 1/4*d**4 + 1/3*d**3. Let i(z) = -5*z**3 + 3*z**2 - 3*z. What is -2*i(b) + 6*p(b)? 4*b**3 Let b = 20 + -16. Let a be ((-9)/(-5))/(4/20). Let v = 8 - a. Let w(r) = r**2 - r. Let o(d) = -2*d**3 + 4*d**2 - 4*d. Give b*w(j) + v*o(j). 2*j**3 Suppose -72 = v - 121. Let l(i) = 217*i**3 + 49*i + 49. Let g(z) = 9*z**3 + 2*z + 2. Determine v*g(h) - 2*l(h). 7*h**3 Let z(v) = 33*v - 370*v - 75*v + 115*v + 62*v. Let i(k) = -18*k. Give -40*i(o) + 3*z(o). 15*o Suppose -189 = -7*x + 63. Let b = x - 33. Let r(m) = -2*m + 1. Let z(h) = h - 1. Calculate b*z(k) + 3*r(k). -3*k Let r(c) = -8*c**3 - 8*c**2 - 10*c + 5. Let v(g) = -g**3 - g**2 - 2*g + 1. What is r(a) - 5*v(a)? -3*a**3 - 3*a**2 Let d(f) = -9*f**2 - f + 4. Let y(k) = -k**2 + 1. Let l(w) = -w**2 - 3*w + 4. Let s be l(3). Let u = s - -15. Give u*d(x) - 4*y(x). -5*x**2 - x Let r(x) = -x**3 + 7*x**2 - 3*x - 3. Let q(l) = -7*l**2 + 2*l + 2. Determine -3*q(p) - 2*r(p). 2*p**3 + 7*p**2 Let f(u) = -3*u**3 - 7*u**2 - 5*u - 1. Let j(d) = -d**2 - 2*d + 7*d + 7*d - 6*d - d**3 - 7*d. Calculate f(i) - 5*j(i). 2*i**3 - 2*i**2 - 1 Let a(y) = -7*y + 16. Let s(u) = -u + 5. Calculate a(j) - 3*s(j). -4*j + 1 Let d(h) = -730 + 359 + 367 + 5*h. Let q(z) = 4*z - 5. Calculate -2*d(a) + 3*q(a). 2*a - 7 Let a(u) = 4*u + 1. Let w(s) = -s - 2. Let g(k) = -2*k - 9. Let h(y) = -g(y) + 5*w(y). Suppose l - 5 = -3*f - l, -5*f = l - 20. What is f*a(t) + 6*h(t)? 2*t - 1 Let x(h) = 1 + 21*h + 6*h - 57*h + 13*h + 14*h. Let n(t) be the third derivative of -t**4/24 + 2*t**2. Let r be (-2)/(-6) + (-4)/3. Calculate r*x(w) + 6*n(w). -3*w - 1 Let v(h) = 3 + 9*h**2 + 3 + 3*h - 17*h**2 - 2*h - 1. Let b(c) = -9*c**2 + c + 6. What is -5*b(l) + 6*v(l)? -3*l**2 + l Let h(n) = 6*n**2 - 5*n + 3. Let g(p) = -7*p**2 + 2*p - 8. Let z(d) = -7*d**2 + d - 9. Let v(b) = 5*g(b) - 4*z(b). Let a = -698 + 692. Give a*h(u) - 5*v(u). -u**2 + 2 Let u(z) = 7*z + 2. Let k(l) = 3*l + 1. Let n be (-3)/6 + 9/2. Suppose 0 = -2*s - 2, 0*s + 93 = -n*v - 5*s. Let h = v + 27. Calculate h*k(j) - 2*u(j). j + 1 Let a(n) = 5*n**2 + 2*n. Suppose t + 2*t - 123 = 0. Let z = 42 - t. Let g(y) = -y**3 - y**2 - y. Give z*a(m) + 2*g(m). -2*m**3 + 3*m**2 Let v(b) = b**2 + b + 1. Suppose 4*l = 7 + 5. Let r be 6/(6/(-4) + l). Let p(q) = -r*q**2 - 4*q - 4 - 2*q + 0 - 1. Determine 2*p(c) + 11*v(c). 3*c**2 - c + 1 Let k(o) be the third derivative of 8*o**2 + 0*o + 0*o**4 - 1/20*o**5 + 5/6*o**3 + 2. Suppose r + 0 = 5. Let x(g) = -4*g**2 + 8. Calculate r*x(y) - 8*k(y). 4*y**2 Let t(a) = -a + 1. Suppose 0 = 2*x + 5 - 3. Let h(y) = -y**2 - 3*y + 2. Let l = 759 - 755. Determine l*t(r) + x*h(r). r**2 - r + 2 Let z(g) = -g - 2. Let a(b) = -b - 3. Suppose 470 + 432 = 11*h. Let q = h + -77. Calculate q*a(d) - 6*z(d). d - 3 Let d(f) = -f**3 - 4*f**2 - 4*f - 4. Let a(c) = 2*c**3 + 9*c**2 + 9*c + 9. Let i = 184 + -180. Calculate i*a(q) + 9*d(q). -q**3 Suppose 20*n - 21 = -n. Let d(c) = -4 - 9 + 11 + 14*c. Let t(s) = s. Calculate n*d(b) - 10*t(b). 4*b - 2 Let f(g) = 565*g + 568*g - 1 - 1126*g + 2. Let x(w) = 7*w + 1. Calculate 5*f(b) - 6*x(b). -7*b - 1 Let j(d) = -27*d**3 - 6*d**2 - d. Let o(t) = 80*t**3 + 16*t**2 + 2*t. Give -8*j(b) - 3*o(b). -24*b**3 + 2*b Let b(y) = -11*y + 2. Let g be 326/9 - 10/45. Let m = g + -41. Let a(p) = -17*p + 3. Calculate m*a(z) + 8*b(z). -3*z + 1 Suppose 1 + 7 = 4*n. Let q(b) = n*b**2 + 17 - 9 - b - 9. Let j(d) = 5*d**2 - 3*d - 3. Give -4*j(m) + 11*q(m). 2*m**2 + m + 1 Let y(r) = r**2 - r. Let q = 37 + -34. Suppose -q*o - 8 = -23. Let k(v) = -3*v**2 + 5*v. Calculate o*y(i) + k(i). 2*i**2 Let y(x) = 4*x**3 + 2. Let d(i) = -33*i**3 - 2*i**2 - 12. What is d(g) + 5*y(g)? -13*g**3 - 2*g**2
{ "pile_set_name": "DM Mathematics" }
3 + (r - (-29)/3). Let u = 47/123 + -2/41. What is the nearest to 1/3 in s, -1/9, u? u Suppose 4*y - 4*v = -y - 6, -3*y + v = -2. Suppose 12*h - y = 13*h. Which is the nearest to -2/7? (a) h (b) -0.3 (c) -3/2 b Let c be -6*((-1)/(-2) - (-91)/(-234)). What is the nearest to c in -0.0495, 1/4, -0.1? -0.1 Let i be (-1 + -1)*-3 + 2408/(-688). Which is the nearest to -1? (a) -2/7 (b) -1/5 (c) -0.7 (d) i c Let y = 357 + -355. What is the nearest to -9 in y, 5, -3, 2/7? -3 Let g = 2382 - 2375. What is the nearest to -0.2 in g, -3/5, 2/3, 3? -3/5 Suppose -4*y = -5*d + 12, -3*d + 2*y + 7 - 1 = 0. Let r be (8/18)/(1/(-3)). Let x = 596 + -1187/2. Which is the closest to -1/4? (a) r (b) d (c) x b Let w = 20 + -20.14. Let o = -0.24 - w. Which is the nearest to 0? (a) o (b) -3 (c) 0.4 a Let f = 0.255 + -0.555. Which is the nearest to 0? (a) f (b) -1 (c) 0 c Let r = -79 + 33. Let y = -41 - r. What is the nearest to 0.1 in -3, -0.1, y? -0.1 Let o = -387 + 391. What is the closest to -4/5 in 1, 1/2, o, -0.2? -0.2 Let t be 1*(-4)/(-36)*-3. Let s be 51/42 - 2/(-7). Let v = -0.8 + 0.8. Which is the closest to t? (a) s (b) v (c) 5 b Let j(l) = -l**3 + 24*l**2 - 45*l + 20. Let r be j(22). Which is the nearest to 0.01? (a) -5 (b) -4 (c) r c Let m be ((-1)/(-2))/(11/(-11)). Let j = 1391/10 - 139. What is the nearest to 1 in m, j, 0.3? 0.3 Let t = 10.3 + -10.249. Let f = -0.449 - t. What is the nearest to -3 in 2/3, 2/21, f? f Let z = -46.1 - -46.4. What is the nearest to -14/9 in 5, 5/4, z, 2? z Let v = 199 - 201. Which is the nearest to -0.1? (a) v (b) -5 (c) 4/5 c Let g = 427 + -429. What is the nearest to -7 in g, -5, 4/5, 3? -5 Let i = -0.8 - -0.6. Let p = 0.8 + i. Let k = p + 0.4. What is the closest to 2/7 in -0.3, k, 5? -0.3 Let g = -1.61 - 0.19. Let z = 1.2 - g. Let f = -5 + 9. What is the nearest to -1 in f, 2, z? 2 Let s = -33 - -29.885. Let u = s + 0.115. Which is the nearest to 0.2? (a) 4 (b) 5 (c) u c Let q = -9/22 + -1/11. Let p = -19 - -22. Which is the closest to 3? (a) p (b) 2/3 (c) q a Let x = 0.336 - 0.636. What is the closest to -0.1 in -7, x, 0.4, -0.1? -0.1 Let j = -223/522 - 1/58. Let r = -3.04 + 0.04. Let p = 2.07 + -0.07. What is the nearest to r in j, 0, p? j Let x = -0.4 - -1.1. Let n = 2.5 - x. Let m = -1.6 + n. Which is the nearest to 2? (a) 3/2 (b) m (c) -2/17 a Let z = -3.73 + -1.27. What is the nearest to -0.2 in z, -0.2, 3? -0.2 Let a = -1754.1 - -1754. Let f = 8 - 5. What is the nearest to -2/3 in 4, a, f? a Suppose 20*c = 89 + 11. What is the nearest to 1 in -0.4, c, 3, 0.04? 0.04 Let w = -13 - -8. Let v = 0.05 - 0.24. Let f = 0.21 - v. Which is the closest to -0.2? (a) w (b) f (c) 3 b Let o = -71.55 + 68. Let l = o + 0.55. What is the nearest to 1 in -0.5, 24, l? -0.5 Let u = 0.1 - 0.5. Let q = u + 2.4. Let k = -24.07 + 24.57. Which is the nearest to q? (a) -0.5 (b) 2/3 (c) k b Let r = -169.8 + 172.8. Let g be 44/6 - 8/(-12). What is the nearest to -0.1 in g, r, 1? 1 Let i be -5 + 25/210*32. Let x = 6/7 + i. What is the nearest to -1/4 in -1, -0.3, x? -0.3 Let g = 407.9 - 408. Which is the closest to 2? (a) 4 (b) 1/4 (c) g b Suppose -29*o + 41 = -17. Let u = -1 + 3. Let s = u + -1.8. Which is the nearest to o? (a) -3 (b) s (c) -0.2 b Let g = 234 + -237. Which is the nearest to -2/5? (a) -0.1 (b) 1 (c) g a Let j = 0.02 - 10.02. Let h = 46.2 - 56. Let d = h - j. Which is the nearest to 1? (a) -1 (b) d (c) -0.5 b Let j = -1356 + 1354. What is the closest to j in -5, -0.4, 0.054, -4? -0.4 Let x = -0.2 + -0.3. Let m(k) = k - 44. Let h be m(41). Let i = 0 + 0.1. What is the closest to i in x, -0.4, h? -0.4 Let l = 5.7 + -5. Let y = -1 + l. Let r(u) = u**3 - 9*u**2 - 9*u - 8. Let s be r(10). Which is the nearest to s? (a) 0.5 (b) y (c) 3 c Suppose 5*o - l = -79 + 428, -2*o - 4*l = -122. Let r be o/18 + -2 + -2. Which is the nearest to -0.1? (a) 2 (b) r (c) -2/7 b Let u = -28 - -57/2. Let k = -6 - -4. Let l = 59/2 + -29. Which is the nearest to u? (a) k (b) -0.4 (c) l c Let y(w) = -w**2 + 6*w - 4. Let o be y(4). Let t be -2 + 13/o - 1. Let k be (-2)/(-3)*(1 - -3 - 1). What is the closest to -2 in 3, k, t? t Let v = -0.5 + 0.4. Let z = v + -0.3. Let m = 63 - 191/3. What is the closest to -0.2 in 0.5, z, m? z Let i = 1 + -0.8. Let a = 890 + -889. What is the nearest to i in -2/11, -3, a? -2/11 Let s = 0.7 - 0.69. Let m = 0.03 - 0.08. Let c = s + m. What is the nearest to c in 5, -2/17, 1/10? -2/17 Let x = 162 + -162. What is the closest to -2/3 in 0.08, x, 3/2, 4? x Let f = 14.04 + -0.04. Let x = f - 19. Let r = 49 + -246/5. Which is the closest to r? (a) 0.5 (b) 0.2 (c) x b Let w be -31 - 5 - (-2 + (-3)/(-1)). Which is the nearest to w? (a) 0.2 (b) -5/2 (c) -0.4 b Let t = 8 + -13. Let q = t + 0. Let a = 0.01292 + -0.01292. What is the nearest to -0.1 in a, q, 0.3? a Let z(l) = -l**3 - 19*l**2 + 19*l - 21. Let j be z(-20). Which is the nearest to -1? (a) 1 (b) j (c) -3/8 b Let r be (6/(-4) + -2)*(5 + -1). Let l be r/(-14) + 0/2. Let i be (-4)/(-18) + (0 - 0). Which is the closest to l? (a) -5 (b) i (c) 0.3 c Let s(w) = -w**3 - w**2 + 2*w + 3. Let h be s(-2). Suppose -4*m - 1 - 3 = 0, 3*m = h*u + 18. Which is the nearest to 0? (a) u (b) 0.4 (c) 2/9 c Let m = -1721 + 15491/9. Which is the closest to -1/4? (a) m (b) 2/5 (c) -4 (d) -2/7 d Let s = -195/44 + 57/11. What is the closest to 0.1 in -1/5, s, 1/12? 1/12 Let s be ((-1)/(-3))/((-2)/(-12)). Let x = 2615 - 2611. Let d = -3 + 2. Which is the nearest to d? (a) x (b) s (c) -0.1 c Let l = 0.338 + -0.838. Let j = 20 - 12. What is the nearest to 1/3 in j, l, -4? l Let g = 4.6 + -4.7. Let v = 13 - 18. Which is the closest to g? (a) 3 (b) v (c) -1/5 c Let x = 52 + -75.2. Let k = x + 22. Let d = k - -1.1. What is the closest to d in 2/7, 0.1, 5? 0.1 Let g = 507 - 507.6. What is the nearest to 0 in 2/13, g, 1, -2? 2/13 Suppose 5*p + m + 12 = 41, 0 = 3*m - 12. Let r be 4/10 + (-133)/(-15). Let x = -26/3 + r. Which is the nearest to 0.1? (a) p (b) -0.3 (c) x b Let r(o) = -o**2 - 10*o + 14. Let n be r(-8). Let j = 57/2 - n. Suppose -2*l - 3 = 5*c, 3*c + 0*l - 15 = 3*l. What is the nearest to -1 in j, c, 4? j Let j = -52 + 54. Which is the nearest to 2/5? (a) -45 (b) j (c) 3/5 c Let j = -441 + 438. What is the closest to 1 in j, -14/11, -1? -1 Let h = 0.041 - -0.459. Let i = -1.9 - -2.9. What is the closest to 0.2 in i, h, 0.4? 0.4 Let w(s) = s**3 - 13*s**2 + 3. Let g be w(13). Suppose -4*c = 3*t - 6, -g*c - 18 = -2*t - c. What is the nearest to -0.1 in 3, -3/7, t? -3/7 Let o be ((-1)/6)/(5/10). Let z = 0.2 - 0.3. Suppose -5*t + 42 = 67. Which is the nearest to -1/4? (a) t (b) o (c) z b Let z = -213/4 - -54. Let y = -8969 - -8968. What is the closest to -5 in y, -0.2, z? y Let i = 1873 + -1873.11. Which is the closest to 0.4? (a) i (b) 2/5 (c) 0.3 b Let y(f) = 28*f + 1032. Let r be y(-37). Let o be 6/4*(-12)/9. What is the closest to o in -2/5, r, -1? -1 Let w = 127.7 + -99. Let d = -29 + w. Which is the nearest to -0.1? (a) d (b) -1 (c) 0.09 c Suppose 0 = -2*j + 6*j - v - 10, 4*j - 4 = -2*v. Let z be ((-6)/(-75))/((j/(-10))/(-1)). Which is the nearest to z? (a) -1/5 (b) -1/11 (c) -1 b Let j = 76 - 75.9. Let m(p) = -p + 3*p - p - 4. Let w be m(8). What is the closest to 2/3 in 0.3, w, j? 0.3 Let v = 151/33 + -54/11. What is the nearest to v in 2/3, -2/11, -4? -2/11 Let k be (-5)/10 - 22/(-28). Let s = -0.1 - -1.1. Let p = 0.1124 - 0.6124. Which is the closest to s? (a) p (b) -2/7 (c) k c Let v = 13.5 + -13.4. What is the closest to v in -3, -0.3, 88, -5? -0.3 Let v be 1/(-6) + 30/45. Which is the nearest to v? (a) 0.1 (b) 0.3 (c) 0 (d) 2 b Let m = 1338.02 + -1338. Which is the closest to 0? (a) 4 (b) -1 (c) -3/8 (d) m d Let p be 11 + (-1752)/108 + (-1 - -6). What is the closest to 2/11 in -5, 0.05, p? 0.05 Suppose -7*f = -2*f + 5. Suppose 9 - 45 = -6*c. Let x = f + c. What is the closest to -2/7 in 2, -1/2, x? -1/2 Let h = 0.18 - 0.11. Let d = -2.319 - 0.611. Let b = d - h. What is the nearest to 0 in 0.1, b, 0? 0 Let q = 13.15 + 4.15. Let y = q + -17. What is the nearest to -0.1 in -2, y, 5? y Let u = -67/35 - -11/5. Let o = 48 - -24. Let q = o - 71.9. What is the nearest to 0 in -2, u
{ "pile_set_name": "DM Mathematics" }
*a**2 - 9*a**2 + 4*a**3 - a - 61*a**3 wrt a. -378 Let f(j) = -12*j + 4. Let l be f(-3). Let g = l - 37. Differentiate 17 - g*o**2 + 11*o**2 - 11*o**4 - 8*o**2 with respect to o. -44*o**3 Let d(r) = -r**3 + 3*r**2 + 9*r + 3. Let v be d(5). Let f be (12/(-1))/v - -2. Differentiate -7 + f*s - 7 + 0*s wrt s. 8 Let j(g) = 15*g + 83. Let x be j(8). Differentiate 19 + x*m**2 + 32 - 207*m**2 + 4 + 9*m**3 wrt m. 27*m**2 - 8*m Let a be (0 + -1)*(23 - 0). Let f = 27 + a. Find the second derivative of 3*d - f*d**2 - 7*d - 2*d**2 + d**2 wrt d. -10 Let g(k) be the third derivative of -1/70*k**7 + 13/120*k**6 + 195*k**2 + 7/20*k**5 + 0*k**3 + 0*k + 0 + 0*k**4. Find the third derivative of g(f) wrt f. -72*f + 78 Let o(i) be the first derivative of -953*i**3/3 - 707*i**2/2 - 1259. What is the second derivative of o(a) wrt a? -1906 Let r(d) = 147*d**2 - 99*d + 5. Let t = 58 + -63. Let p(s) = 221*s**2 - 149*s + 8. Let j(n) = t*p(n) + 8*r(n). What is the second derivative of j(x) wrt x? 142 Differentiate 930 + 261 - 337*v**2 - 180 + 199 wrt v. -674*v Let b(s) = s - 7. Let i be b(16). Find the third derivative of -12*h**2 - 7*h**5 + 7*h**2 - 2*h**6 - i*h**2 + 2*h**2 wrt h. -240*h**3 - 420*h**2 Find the third derivative of 173*j**2 - 63*j**3 - 194*j**2 - 413*j**3 + 333*j**2 + 354*j**2 wrt j. -2856 Let g(d) be the second derivative of 19/3*d**3 - 71/12*d**4 + 0*d**2 - 3 - 9*d. What is the second derivative of g(m) wrt m? -142 Let a(s) be the second derivative of 296*s - 9/2*s**4 + 1/10*s**6 - 3/2*s**5 + 0*s**3 + 0*s**2 + 0. Find the third derivative of a(m) wrt m. 72*m - 180 Differentiate -5718*j - 4159*j - 8266 + 1341*j - 2610 - 2387*j with respect to j. -10923 Suppose 3*q = 244 + 131. Let p = 127 - q. Find the second derivative of 5*r**2 - 3*r**p + 8*r + 17*r - 5*r**2 wrt r. -6 Let f(n) = -466*n**3 + 4*n - 389. Let t(o) = -3264*o**3 + 30*o - 2721. Let z(y) = 15*f(y) - 2*t(y). Differentiate z(a) with respect to a. -1386*a**2 What is the third derivative of -572*a**2 - 356*a**4 - 235*a**2 + a**3 - a**3 - 665*a**4 wrt a? -24504*a Find the third derivative of -9434*i**3 + 11*i + 2*i**5 + 4*i**6 + 8*i**4 + 4 + 9434*i**3 + 3*i**2 wrt i. 480*i**3 + 120*i**2 + 192*i Let y(v) = 1638*v + 146. Let o(w) = -1639*w - 196. Let l(d) = 5*o(d) + 6*y(d). What is the first derivative of l(k) wrt k? 1633 Let l(u) = -29*u**3 + 9*u**2 + 4*u + 4. Let w(d) = -d - 2. Let y be ((8 + -2)/(-3))/2. Let q(x) = y*l(x) - 4*w(x). What is the third derivative of q(m) wrt m? 174 Find the third derivative of 52 + 2*n - 3319*n**4 + 542*n**4 - 3172*n**3 + 3172*n**3 - 2*n**2 wrt n. -66648*n Let k be 4 - (-862)/7 - (-2)/(-14). What is the third derivative of 102*m**2 - k*m**2 + 52*m**5 + 6*m**5 wrt m? 3480*m**2 Let a be 39/9 - 6/18 - -80. Find the second derivative of 202 + 7*n + a*n**3 - 5*n - 7*n**3 wrt n. 462*n Let w(x) be the third derivative of -17*x**2 - 3 - 91/6*x**3 + 0*x - 1/3*x**4. Find the first derivative of w(m) wrt m. -8 Let p(w) be the second derivative of 518*w**3/3 - 7911*w**2/2 + 782*w + 2. What is the first derivative of p(j) wrt j? 1036 Let c(g) = 1987*g**3 + 6*g**2 + 10122*g + 11. Let y(d) = 397*d**3 + d**2 + 2024*d + 2. Let s(k) = -2*c(k) + 11*y(k). Find the second derivative of s(r) wrt r. 2358*r - 2 Let b(m) be the third derivative of 15 + 0*m**5 + 0*m + 187/210*m**7 + 50/3*m**3 + 2*m**2 + 0*m**6 + 0*m**4. What is the derivative of b(v) wrt v? 748*v**3 Let n(z) = 12351*z**3 - 8569*z + 42. Let k(r) = 2*r + 21. Let v(t) = -2*k(t) + n(t). Find the second derivative of v(c) wrt c. 74106*c Let z = 585 - -3409. What is the first derivative of 29*t + 58*t - 4110 + z + 69*t wrt t? 156 Let o(g) = -g**3 - 3*g. Let j(s) = -3657*s**3 - 3643*s. Let h(u) = j(u) - 3*o(u). What is the second derivative of h(y) wrt y? -21924*y What is the derivative of 2188*b + 5281*b + 6633*b + 256 - 3083*b wrt b? 11019 Suppose 27*j - 20*j - 917 = 0. Find the second derivative of j*c + 19*c - c**3 + 109*c - 53*c - 143*c**2 - c**3 wrt c. -12*c - 286 Let g(h) = -h**2 - h - 24. Let s be g(0). Let o be (s/30)/(92/(-45) + 2). Differentiate 18*x**3 - 29 + 17 + o wrt x. 54*x**2 Suppose -4*s + 40 = -4*f, 1 = 2*s + 5. Let h(l) = -l**3 - 12*l**2 - 2*l - 14. Let a be h(f). Differentiate -5*n**2 + 9*n**2 + 11*n**2 - a with respect to n. 30*n Let c(g) = -g**3 - g**2 + g - 3. Let j(t) = -1529*t**3 - 2*t**2 + 4*t - 465. Let z(r) = 4*c(r) - j(r). What is the third derivative of z(f) wrt f? 9150 Suppose 12*b - 54 = -15*b. Find the third derivative of 0*r + 15*r + 3685*r**2 + 26*r**3 - 3688*r**b wrt r. 156 What is the derivative of 5622*p**3 + 5678*p**3 + 1505 - 11014*p**3 wrt p? 858*p**2 Let x(f) be the first derivative of -5754*f**5/5 - 1449*f**2 + 4910. Find the second derivative of x(z) wrt z. -69048*z**2 What is the third derivative of -1988*f**6 - 2*f**2 - 1453 + 814 + 5564*f**6 wrt f? 429120*f**3 Let d(w) be the first derivative of -4159*w**6/3 - 7169*w**2/2 + 5840. Find the second derivative of d(l) wrt l. -166360*l**3 Let q(s) be the first derivative of -141*s**2 - 28 + 11 - 29 + 71*s**2 + 161*s. Differentiate q(f) with respect to f. -140 What is the second derivative of 3 + 10*r**4 - 203*r + 145*r - 351*r - 10*r**4 + 1290*r**5 wrt r? 25800*r**3 Let s(a) = 5*a**2 - 50*a + 2. Let t be s(10). Find the second derivative of -5410*m - t + 5334*m + 2 + 79*m**3 wrt m. 474*m Let u(c) be the third derivative of -8*c**2 + 0*c - 25/12*c**4 + 1/8*c**6 + 0 + 1/3*c**3 - 1/30*c**5. Find the second derivative of u(i) wrt i. 90*i - 4 Suppose 3*l = -6, 2 = 2*r - 4*l - 10. Let v(a) be the second derivative of 0 + 0*a**3 - 5/6*a**4 - 16*a + 15/2*a**r. Differentiate v(o) wrt o. -20*o Let z(b) = -b**4 - 2*b**2 - 2*b + 4. Let r(k) = 70*k**4 + k**2 + 6*k - 1944. Let x(d) = -r(d) - 3*z(d). Find the first derivative of x(y) wrt y. -268*y**3 + 10*y Let u(o) = 2. Suppose 5*b + 21 = -3*v - 0*v, -v - 7 = -b. Let r(x) = 279*x - 36. Let z(n) = v*u(n) + r(n). What is the derivative of z(s) wrt s? 279 Let k be (-132)/154 + 27/7. Let l(g) be the second derivative of 0*g**k + 2*g + 5/4*g**4 + 11/2*g**2 + 0. Differentiate l(y) with respect to y. 30*y Let r(u) be the third derivative of -4121*u**5/60 + 967*u**4/24 - 1127*u**2. Find the second derivative of r(f) wrt f. -8242 Find the second derivative of 90*d**4 + 627*d + 1702*d**4 + 293*d**4 + 1744*d wrt d. 25020*d**2 Let x(f) be the second derivative of 1217*f**3/2 - 5803*f**2/2 + 7083*f. Differentiate x(z) wrt z. 3651 Let h be -2*(-2)/14 + 182/49. Find the second derivative of -2 + 65*i**2 - 45*i + 79*i + h*i**2 wrt i. 138 Let s(j) be the second derivative of 141*j**4 - 27*j**3/2 + 3*j**2/2 + 8*j - 85. Find the second derivative of s(p) wrt p. 3384 Let t be (52 + 2 - 3)/(-2 - -3). What is the derivative of 13*k**4 - k**4 - 26 + 7 + 3*k**2 - t wrt k? 48*k**3 + 6*k Find the second derivative of 7365*x**3 - 3680*x**3 - 3688*x**3 - 1151*x - 173*x + 2590*x**5 wrt x. 51800*x**3 - 18*x Let t(l) = 24*l + 49. Let m be t(7). Suppose 103 + m = 4*b. Find the third derivative of -23*w**3 + b*w**2 - 41*w**2 - 4*w**3 - 27*w**2 wrt w. -162 Let f(z) = -z**3 - 9*z**2 + 17*z - 11. Let p be f(-11). What is the third derivative of 28360 - 28360 + p*r**5 - 235*r**2 wrt r? 2640*r**2 Differentiate -946*g - 432*g + 298*g - 1248 with respect to g. -1080 Let z(o) be the first derivative of 1541*o**5/5 + 2*o**3/3 - 189*o - 4476. What is the third derivative of z(y) wrt y? 36984*y Let y be (6/(-18)*-1)/((-1)/(-6)). What is the third derivative of -3*v**y - 10*v - 48*v**4 + 32*v**4 - v**2 + 22*v**4 wrt v? 144*v Let d(q) = q**3 - 40*q**2 + 93*q - 42. Let c be d(38). Differentiate 191 + 603*g**4 - 985*g**4 + c*g**4 wrt g. 888*g**3 Let s(x) = -31*x**2 - x + 28. Let c(v) = -v + 1 - 6 + 6 + 4 - 4. Let i = 2 + -3. Let l(t) = i*c(t) + s(t). Find the first derivative of l(k) wrt k. -62*k Let n(z) = -60*z**2 - 80. Let b = 28 - 9. Let y(r) = -3 - 22*r**2 + b + 34*r**2. Let g(d) = -2*n(d) - 11*y(d). What is the derivative of g(h) wrt h? -24*h Let z(g) be the second derivative of 598*g**3/3 + 472*g**2 + 1414*g. Differentiate z(y) with respect to y. 1196 Let x(z) be the second derivative of z**2 + 2 + 10/3*z**3 - 71/12*z**4 - 47*z. What is the second derivative of x(r) wrt r? -142 Let a be 13310/(-968)*(-4)/22. Let v(l) be the third derivative
{ "pile_set_name": "DM Mathematics" }
give b. -60 Express ((2*n + n - 4*n)*(-5 + 2 + 2) + 0 + 0 + n)*(-107 + 63 - 2*n + 74) in the form t*n + g*n**2 + x and give g. -4 Express -55 - 68*m - 4*m + 56 as u*m + r and give u. -72 Rearrange (-2 + 2 - 2*f**2 + (-8*f + 2*f - 3*f)*(-7*f - 4 + 4))*(-4*f + 2*f + 4*f) to the form n*f + g + p*f**2 + w*f**3 and give w. 122 Rearrange (-3 - k**3 + 3)*(-3*k + 6*k - k) + 0*k**4 - 13*k**4 - 149*k**4 to the form u*k**3 + a*k + x + i*k**2 + l*k**4 and give l. -164 Express -213*i**2 + 279*i**2 + 114*i**2 + 283*i**2 as y*i + c*i**2 + k and give c. 463 Express (0*f - 10*f - 4*f + (2 + 0 - 4)*(0*f - 2*f + 4*f))*(0*f + 4*f - 3*f)*(-1 - 6 + 3 + (2 + 1 - 4)*(0 - 2 + 4)) in the form p*f + m + q*f**2 and give q. 108 Express (0*o**2 - 2*o**2 - 4*o**2)*(3 + 2 - 4)*(114 + 8 - 13) as u + c*o + l*o**2 and give l. -654 Rearrange 5*f + 11*f - 16*f + 27*f**2 to the form h*f**2 + u + g*f and give h. 27 Express (-45 + 13 + 7)*(-15*u + 0 + 0 + 30*u) in the form y*u + a and give y. -375 Rearrange (-2*k**2 - 1 + 1)*(4870*k - 4870*k + 93*k**2) to m*k + r + j*k**4 + d*k**2 + b*k**3 and give j. -186 Rearrange 62*z**2 - 2*z - 1 - 470*z**3 + 471*z**3 - 66*z**2 - 4*z**4 to u*z**2 + q*z**3 + r + h*z + y*z**4 and give r. -1 Rearrange (-d**2 + 2*d**2 + 0 + 2)*(d - 2*d + 2*d) - 7*d - 10*d**3 + 7*d to n + t*d + o*d**3 + s*d**2 and give t. 2 Rearrange (3 + a**2 - 3)*(0 - 4 + 2)*(12 - 22 + 76)*(-a + 3*a - a) to the form n*a**2 + c*a + y + f*a**3 and give f. -132 Rearrange (183*y + 641*y**2 + 182*y - 365*y)*(y + 0 + 0) to the form t + s*y**2 + j*y + r*y**3 and give r. 641 Express 8*t + t**2 - 7*t + 19*t - 6*t**2 + 4*t as r*t**2 + m*t + f and give r. -5 Express -16 - 29*y**3 - 11 + 17*y**3 + 14*y**3 as s*y**2 + w*y**3 + t*y + n and give w. 2 Express -13*w - 2*w - 11*w - w - w + 3*w + 0 + 3*w + 0 + (-4*w + 4*w - w)*(-3 + 0 + 2) + w + 4*w - 3*w + w + w - w as h + t*w and give t. -18 Express (-7*g + 4*g - 7*g)*(15*g + 4*g + 7*g)*(g + 0*g + 0*g) as k*g**2 + f + o*g**3 + s*g and give o. -260 Express (208 - 208 - 20*q**2)*(1 + 0 + 9) in the form i + u*q**2 + z*q and give u. -200 Express -34*y + y**2 - 38*y + 13*y as c + z*y**2 + h*y and give h. -59 Express -2 - 3*r**4 - r**3 + 20*r**3 - 20*r**3 - 2*r - 4*r**2 in the form z*r + w*r**3 + q*r**4 + v + b*r**2 and give z. -2 Rearrange -5*q + q**2 - 30*q - 17*q to the form k + u*q**2 + v*q and give v. -52 Rearrange (l**3 - 2*l**2 + 2*l**2)*((-3 + 1 + 0)*(-6 + 1 + 4) - 7 - 5 - 1) to z*l**3 + b + r*l + q*l**2 and give z. -11 Express 3 - 3 - 2*t**4 + (3 - 3 + t**3)*(-2*t + 0*t + 0*t) + 274*t - 334*t + 60*t + 4211*t**4 in the form l*t**3 + v*t + i*t**4 + a + w*t**2 and give w. 0 Rearrange 109 - 57 + 64*v - 64 - 5*v + (3 + 1 - 5)*(-v + v + v) to the form o + n*v and give n. 58 Express (2*g - 6 - 1 - 4493*g**2 + 4504*g**2)*(2 - 2 + 3) in the form z*g**2 + b + s*g and give z. 33 Express -6*v - 2*v + 19*v - 3 + 31*v in the form b + x*v and give b. -3 Rearrange 199 - 202 + 570*z - 73*z**2 - 570*z to the form y*z**2 + b + j*z and give b. -3 Rearrange -95*l**3 + 48*l**3 + 337*l + 49*l**3 to n*l**3 + w*l + c + p*l**2 and give n. 2 Rearrange (-90 + 8*k - 6*k - k)*(-k**2 - 2*k + 2*k) to the form t + n*k**3 + y*k + u*k**2 and give n. -1 Express (-2*m**2 + 0*m**2 + m**2)*(-2*m + 2*m + m) + m**3 - 3*m**3 + m**3 - 202*m**3 + m**2 + 2 + 2023747*m - 2023747*m as w*m**2 + f*m**3 + u*m + i and give w. 1 Rearrange -13 - 32 + 640*b - 15 + 60 to a*b + f and give a. 640 Express (-3 - 1 - 1)*(-2*l + 2*l + 4*l) - l - 2*l + 4*l + (3 - 3 + 3)*(-3 + 2 - 4)*(-1 - l + 1) in the form b + s*l and give s. -4 Express 0*d**2 - 561*d**4 + 2*d + 594*d**4 + d**2 in the form o*d**2 + w*d**3 + t + h*d**4 + s*d and give h. 33 Rearrange -69*d + 23 + 818*d + 47*d - 23 + (-2 + 0 + 4)*(d + 2*d - 4*d) to the form t + y*d and give y. 794 Express -36*g**2 - 89*g**3 + 36*g**2 + (2*g - 2*g**2 - 2*g)*(-3*g + 5*g - 4*g) as z*g**3 + b*g + k*g**2 + f and give k. 0 Rearrange -5 + 3*t - 267 + 4*t - 9*t to c + i*t and give c. -272 Express (1 + 0 + 2)*((-1 + 1 - 2)*(-3*d - 4*d + 5*d) + 6 - 6 - 9*d)*(3*d**2 - 3*d**2 + 2*d**2) as p + w*d**3 + h*d**2 + t*d and give w. -30 Express 34 + 7*u**2 - u**2 - 9 - 24*u**3 - 5*u**2 - 15 as q + m*u + f*u**2 + l*u**3 and give q. 10 Express 17*s**2 + 4953*s - 2473*s - 2471*s + (2*s - 3 + 3)*(s + s - 4*s) as b + k*s + y*s**2 and give b. 0 Rearrange (63*x - 298*x**2 - 63*x)*(x - 3*x + 5*x) to the form j*x**2 + y + f*x + i*x**3 and give i. -894 Rearrange 0*j**3 - 12*j**3 + 7*j**3 + 24*j - j**3 to t + s*j**2 + v*j + r*j**3 and give v. 24 Rearrange 30*j**3 - 31*j**3 + 41 - 49 + 6*j to b*j**2 + r + g*j**3 + k*j and give k. 6 Express 2*o**4 + 1574 - 3*o**3 - 1736 - 2*o**2 + 2*o**3 as p*o**2 + x*o + u*o**4 + r*o**3 + y and give p. -2 Rearrange 6*m**3 + 2324*m**4 - 2*m - 2 - 3*m - 19*m**3 + 6*m**2 + 3*m - 2322*m**4 to the form s + r*m**3 + q*m**2 + j*m**4 + i*m and give r. -13 Express 14*p**4 - p**2 - 4*p**4 + 22 - 7*p**4 - 102 - p**4 in the form y*p**4 + l*p + m + f*p**3 + u*p**2 and give m. -80 Express (-254*w**2 + 450*w**2 + 135*w**2)*(w + 2 - 2) in the form r*w**3 + u + y*w**2 + k*w and give r. 331 Express -20 - 8*d**2 + 26 - 16 in the form r + x*d + s*d**2 and give s. -8 Express -25 + 15 + 11 + 2*n**3 - n**2 in the form h*n**3 + j + v*n**2 + u*n and give v. -1 Express 7*n - n**3 - 1 - 3*n + 174419*n**4 - 174432*n**4 in the form p*n**3 + q*n + w + l*n**4 + g*n**2 and give p. -1 Express -3*c**2 - 2*c**3 - 172*c + 3 + 3*c**2 - c**2 + 175*c in the form b + k*c**2 + w*c**3 + o*c and give o. 3 Rearrange 0 + z**4 - 16517*z**2 + 16529*z**2 - 2 - 3*z**3 to the form f*z**3 + h*z**4 + q*z + m*z**2 + n and give n. -2 Rearrange -260 - 279*w + 127 + 133 to the form x*w + n and give x. -279 Rearrange (b + 2*b - b)*(9*b + 17 + 5 - 6) - 5*b**2 - b**2 + b**2 to d*b**2 + k*b + h and give d. 13 Express (-m - 19*m + 5*m)*(2*m**2 + 0*m**2 + 0*m**2)*(-2*m + 2*m + 2*m) as v*m + d + b*m**4 + l*m**3 + n*m**2 and give b. -60 Rearrange 552 - 20*t + 125*t - 552 to the form y + d*t and give d. 105 Express (-7*g + 6*g - 70 + 0*g)*(-4 + 4 + 2)*(-2*g + 0*g - g) in the form c*g + a + o*g**2 and give o. 6 Rearrange 504 - 506 - 11*f + 3*f**2 + 2*f**4 - f**2 + 0*f**2 - f**2 to n*f + o*f**2 + j*f**4 + i + t*f**3 and give n. -11 Rearrange (-3*w + 0*w + 7*w)*((2 - 3 - 1)*(1 + 0 + 0) - 4 - 3 + 2 + 2 - 3 + 3)*(-w - 4*w + 4*w) to b + z*w**2 + u*w and give z. 20 Rearrange (q - 1 + 1)*(-5*q**2 + 495*q - 18*q**2 + 22*q**2) to t*q**2 + r*q**3 + x*q + v and give r. -1 Express 1098*x - 111*x + 508*x + (4*x + x - 3*x)*(3 + 2 - 2) in the form d*x + g and give d. 1501 Express -5*w**2 + 2*w**2 + 2*w**2 + (-4 + w + 4)*((-w + 1 - 1)*(2 + 1 - 2) + 2*w - w - 2*w + 8 - 8 + 42*w) as q + g*w**2 + k*w and give g. 39 Express 2 + 16*p**2 + 61*p + 3 - 7 - 131*p + 68*p + 11*p**3 as y*p + s*p**3 + b*p**2 + a and give s. 11 Express 486*w**2 - 219*w**2 - 33*w**2 as u*w + j + k*w**2 and give k. 234 Rearrange -59*j**2 + 690768 - 690768 to k + q*j**2 + y*j and give q. -59 Rearrange ((-2*v + 2*v - v)*(-2*v - v + v) - 3*v**2 + v**2 + 26*v**2)*(674*v + 38*v**2 - 674*v) to x*v + w*v**4 + y*v**2 + n*v**3 + m and give w. 988 Express 4*p**3 + 2*p**2 - 1 - 7*p**3 + 1 + 8*p + 26*p - 1 in the form y*p + v*p**3 + c + l*p**2 and give v. -3 Express -2 + 75*v**3 - 139*v**3 + 66*v**3 - v**4 - 17*v - 9*v - 3*v**2 in the form t*v**2 + u*v + f*v**3 + p + g*v**4 and give p. -2 Express 41 + u - 4*u**2 + 3*u**2 - u**3 - u**3 - 34 as s*u**2 + y*u**3 + x + w*u and give x. 7 Rearrange 7*w**2 + 2*w**2 - 3*w**2 - 4*w**2 + 69 - 5*w**2 to t + m*w**2 + f*w and give m. -3 Rearrange (-k + k - 4*k)*(3 + 7 - 55) to the form b*k + c and give b. 180 Rearrange -102*j + 421*j + 336*j to t*j + o and give t. 655 Express 15*n**3 + 25*n**3 + 8 + 3*n - 39*n**3 + 6*n**2 - 14*n**2 as a + r*n**2 + d*n + q*n**3 and give r. -8 Rearrange (-1 - 4 + 6)*(-2*x + 38*x - 302*x) to the form u + o*x and give o. -266 Rearrange ((-2 + 4 - 1)*(0 + k + 0) - 1 + 2*k + 1 + 12330 + 191*k - 12330)*(4*k - 3*k - 2*k) to the form u*k**2 + r + f*k and give u. -194 Express -k - k - 3*k + (3 - 5 - 1)*(0*k - 3*k + 2*k) - k + 0 + 0 + 50*k - 64*k + 90*k as d*k + p and give p. 0 Express (-942*a**2 - 340*a + 168*a + 172*a)*(4 - 2 + 0) as u + x*a + r*a**2 and give r. -1884 Express -3*s + 1 - 1 + s**2 + (9*s + 12 - 12)
{ "pile_set_name": "DM Mathematics" }
2893. Let o(n) = 7*n - 2. Determine f*s(k) + m*o(k). -3*k + 2 Let n(g) = -g - 12. Let l(y) = -y**2 - 15*y - 64. Let c be l(-7). Let r be n(c). Let f(t) = -1. Let a(s) = -4*s + 2. Calculate r*f(o) - a(o). 4*o + 2 Let t(d) = d**3 + 2*d**2 - d - 2. Let i(l) = 8*l**3 - 331*l**2 - 6*l - 12. Calculate i(v) - 6*t(v). 2*v**3 - 343*v**2 Let n(l) = 72*l + 217. Let a(s) = -31*s - 109. Calculate -7*a(p) - 3*n(p). p + 112 Let b(k) = -9*k**3 - 4*k**2 + 13*k - 2277. Let r(u) = -4*u**3 - 2*u**2 + 6*u - 1137. Calculate -6*b(y) + 13*r(y). 2*y**3 - 2*y**2 - 1119 Let o(s) = 39*s**2 - 8*s - 3. Let u(i) = 57*i**2 - 447*i - 8. Let v(l) = 7*l**2 - 57*l - 1. Let j(f) = 6*u(f) - 47*v(f). What is 11*j(z) - 4*o(z)? -13*z**2 - z + 1 Let k be ((-9)/6)/(1162/224 - 5). Let v(j) = 3*j - 17. Let z(u) = -5*u + 26. Determine k*v(x) - 5*z(x). x + 6 Let x = 0 + 2. Let n(a) = -1. Let b(p) = 3*p + 1019. Let r(i) = 2*i + 728. Let w(q) = 5*b(q) - 7*r(q). Calculate x*w(k) - 3*n(k). 2*k + 1 Let g(i) be the first derivative of -8*i**3/3 - 6*i**2 + 6*i + 10024. Let z(l) = 5*l**2 + 8*l - 4. Determine -5*g(k) - 7*z(k). 5*k**2 + 4*k - 2 Let j(v) = 7*v + 625*v**2 - 9*v + 2*v - 626*v**2 + v**3 + 1. Let s(o) = -3*o**3 + 6*o**2 - o - 9. Calculate 6*j(f) + s(f). 3*f**3 - f - 3 Suppose 0 = -61*r + 331 + 35. Let s(v) = -6*v - 6. Let m(k) = 0 - 2 + k - k**3 + 1 - 2*k. Determine r*m(x) - s(x). -6*x**3 Let c(n) = 11*n**3 + 21*n**2 - 12*n - 4. Let f(x) = -11*x**3 - 20*x**2 + 10*x + 3. What is -5*c(s) - 6*f(s)? 11*s**3 + 15*s**2 + 2 Let v(g) = g**2 + 4*g. Let z(k) be the second derivative of 7/2*k**3 + 1/2*k**4 + 0*k**2 + k - 1. Calculate -11*v(i) + 2*z(i). i**2 - 2*i Let o(p) = 946 - 1032 - 42*p + 47*p. Let n(b) = 3*b - 57. Give 8*n(c) - 5*o(c). -c - 26 Let x(k) = -2*k - 15. Let f(c) = -192*c - 136. Give -f(w) + 9*x(w). 174*w + 1 Let p(n) = -5*n**3 + 8*n**2 + 9*n + 6. Suppose 4*a + 5*q = 10, -5*q + 37 = -2*a - 3. Let z(r) = -4*r**3 + 8*r**2 + 8*r + 5. Calculate a*p(y) + 6*z(y). y**3 + 8*y**2 + 3*y Let t(u) = -6*u**3 + 9*u**3 + 12*u**3 - 3*u + 20 + 3*u. Let d(s) = -2*s**3 - 3. Determine 20*d(v) + 3*t(v). 5*v**3 Let r(l) = 10*l**3 - 2*l**2 - 2*l - 2. Suppose 5*o = 5*v, -3*v = -2*o + 2*v - 12. Let j(h) = -30*h**3 + 7*h**2 + 7*h + 7. Give o*j(m) + 14*r(m). 20*m**3 Let z(h) = -3*h**2 - 2*h - 3. Let x(j) = 4*j**2 + 2*j + 4. Let y = -50 - -44. Let c = -24 + 42. Suppose 13*u = c*u + 25. Determine u*x(i) + y*z(i). -2*i**2 + 2*i - 2 Let n(k) be the second derivative of -1/12*k**4 + 0 - 2*k + 0*k**3 - k**2. Let m(y) = -3*y + 13 - 84 + 72 + y**2 + 3*y. What is 6*m(b) + 4*n(b)? 2*b**2 - 2 Let r(n) = 2*n + 5. Let l = -26 - -26. Let i(y) = 4 - 4 + 1 + l. Let u = -89 - -93. What is u*i(k) - r(k)? -2*k - 1 Suppose 0 = -0*s + 4*s - 16. Let q(d) = -2*d + s*d - d. Let i(x) = 3 - 4 + 2*x + 0*x - x. Calculate -3*i(o) + 5*q(o). 2*o + 3 Let q(a) = -a**2 - 7*a + 3. Let v(u) be the first derivative of 9*u**2 + 255*u + 175. Let p be v(-14). Let d(k) = 2*k**2 + 15*k - 7. Determine p*d(g) + 7*q(g). -g**2 - 4*g Let q(r) = 28 - 66 + 37. Let n(s) = -5 + 3*s - 4*s - 4*s + 0*s. Calculate n(g) - 5*q(g). -5*g Let a(t) = 31*t - 3439. Let f(h) = 41*h - 3441. Give -4*a(s) + 3*f(s). -s + 3433 Let m = 18210 + -18197. Let f(n) = n**2 + 5*n - 11*n**2 - 5*n**2 - 13. Let v(i) = 7*i**2 - 2*i + 6. Give m*v(w) + 6*f(w). w**2 + 4*w Let h(i) = -i. Let a(w) = -202*w. What is -a(q) - 303*h(q)? 505*q Let c(l) = -l**2 - l + 1. Let x(m) = -35*m**3 + 105*m**2 + 105*m - 105. Let v be ((-3)/36)/((-16)/(-192)). What is v*x(o) - 105*c(o)? 35*o**3 Let r(t) be the second derivative of -5*t**4/12 + 9*t**2 + 2*t - 219. Let q(a) = 26*a**2 - 90. Give -3*q(c) - 16*r(c). 2*c**2 - 18 Let l(p) = 3. Let c(f) = -9*f - 22. Let a(k) = c(k) + 6*l(k). Let d(g) be the third derivative of -13*g**4/12 - 11*g**3/6 + 34*g**2. Give -11*a(n) + 4*d(n). -5*n Let z(b) = -14*b**3 + 66*b**2 - b + 42. Let m(v) = -2*v**3 + 11*v**2. Determine 6*m(w) - z(w). 2*w**3 + w - 42 Let q(n) = -4 + 2*n - 2*n**2 - 9*n + 0*n + 3*n**2 + 1. Let x(j) = -j**2 + 14*j + 5. Give 5*q(k) + 3*x(k). 2*k**2 + 7*k Let d(x) = -11*x**2 - 6*x + 76. Let k(y) = -8*y**2 - 5*y + 73. Calculate 5*d(f) - 6*k(f). -7*f**2 - 58 Let z(n) = n**2 - 3*n. Suppose -7*q + 6*q + 19 = 0. Let g = -21 + q. Let v be g + (4 - (-1)/1). Let m(w) = 3*w**2 - 8*w. Give v*m(p) - 8*z(p). p**2 Let b(h) = 27*h**3 + 79*h**2 - 6*h - 6. Let z(y) = -24*y**3 - 77*y**2 + 5*y + 5. Calculate 5*b(c) + 6*z(c). -9*c**3 - 67*c**2 Let v(n) = -10*n**2 + 3*n. Let a(s) = 0*s**2 - 3*s - 4*s + 3*s**2 + 18*s**2. Let p be ((-2)/1 - (6 + -9))*(-7)/(-1). Give p*v(d) + 3*a(d). -7*d**2 Let a(i) = -30*i**2 - 3. Let n(h) = -45*h**2 - 5. Let o(t) = -238*t + 944. Let q be o(4). What is q*a(f) + 5*n(f)? 15*f**2 - 1 Let w(f) = -11*f**2 - 22*f. Let r(o) = -6*o**2 - 10*o. What is -13*r(g) + 6*w(g)? 12*g**2 - 2*g Let w = 13967 + -13971. Let z(x) = 139*x + 16. Let g(o) = -28*o - 3. What is w*z(l) - 22*g(l)? 60*l + 2 Let d(x) be the second derivative of 5*x**4/4 - 13*x**3/6 - 3*x**2/2 - 4310*x. Let m(b) = 7*b**2 - 6*b - 2. Give -4*d(o) + 9*m(o). 3*o**2 - 2*o - 6 Let z(j) = 12*j**2 - 2*j + 25. Let f(g) = g**2 + g + 3. Calculate -4*f(d) - z(d). -16*d**2 - 2*d - 37 Let n(g) = -29*g + 17. Suppose 18 = -4*t + 3*t. Let a = 14 + t. Let w be ((-18)/a)/((-27)/(-12) + -3). Let p(d) = -10*d + 6. What is w*n(r) + 17*p(r)? 4*r Let w(y) = -5*y**2 - 2*y. Let x(j) be the second derivative of -27*j**4/4 - 11*j**3/2 + 7572*j. Give 99*w(u) - 6*x(u). -9*u**2 Let t(j) = 5*j**3 + 2291*j**2 + 1. Let v(d) = -12*d**3 - 4581*d**2 - 3. Determine 5*t(z) + 2*v(z). z**3 + 2293*z**2 - 1 Let z(j) = -j**2 + 1. Let i(r) = -r. Let g(o) = o**3 + 18*o**2 + 50*o + 13. Let c be g(-3). What is c*i(t) - z(t)? t**2 + 2*t - 1 Let i be 205/65 - (-4)/(-26). Let p(u) = -6*u**2 - 8*u + 2. Let r(s) = -26*s + 1 + 15*s + 8*s - 2*s**2. Calculate i*p(y) - 8*r(y). -2*y**2 - 2 Let y(p) = 3*p + 6. Let f be 3 + -5 + (-1 - -2) + 1. Suppose 13*x = -f*x - 78. Let n(t) = -4*t - 7. Determine x*n(o) - 7*y(o). 3*o Let s(m) be the second derivative of -m**3/6 + m**2/2 + 23*m + 15. Let f(c) = -23*c**2 + 161*c - 161. Calculate 3*f(l) + 483*s(l). -69*l**2 Suppose -9 = l - 7*l - 3*l. Let a(u) = 1. Let k(t) = 35*t**2 - 1. What is l*k(d) + a(d)? 35*d**2 Let j(n) = 2*n**2 + 11*n + 3. Let m = -10 - -5. Let f(o) be the third derivative of o**5/60 + 7*o**4/24 + o**3/3 + 72*o**2 - 2*o + 6. Determine m*j(t) + 8*f(t). -2*t**2 + t + 1 Let o(a) = -2*a. Let b(u) = -16*u. Suppose -10*k = 4*q - 5*k + 57, -5*k - 9 = -2*q. Let h be 2/q + ((-1925)/44)/(-7). Calculate h*b(j) - 51*o(j). 6*j Let p(l) = 1565*l**3 - 8*l + 8. Let a(w) = 25039*w**3 - 126*w + 126. Calculate -4*a(r) + 63*p(r). -1561*r**3 Let l(f) = 3*f**3 - f**2 - 39*f - 21. Let x(b) = -6*b**3 + 3*b**2 + 80*b + 48. Give -9*l(i) - 4*x(i). -3*i**3 - 3*i**2 + 31*i - 3 Let r(y) be the second derivative of 0*y**2 + 1/2*y**3 + 0 + 155*y. Let q(m) = -2*m + 2*m - m - 1. What is -2*q(h) - 2*r(h)? -4*h + 2 Let p(s) = -9172*s**2 - 4*s. Let c(n) = 31936913*n**2 + 13930*n. Give -6*c(b) - 20895*p(b). 27462*b**2 Let g(w) = w**2 + 5*w + 10021. Let n(k) = -3*k**2 - 14*k - 30061. What is -14*g(h) - 5*n(h)? h**2 + 10011 Let v(p) = -p**2 - 1. Let x(a) = -18*a**2 - 15. Let m(j) = 767*j - 3066. Let t be m(4). What is t*x(g) - 30*v(g)? -6*g**2 Let u be ((-60)/84)/(((-2)/7)/2). Let z(r) = -41*r**3 + 5*r**2. Let n(s) = -184*s**3 + 23*s**2. Give u*n(o) - 23*z(o). 23*o**3 Let o(w) = 25*w + 23*w + 7 + 1 - 63*w + 17*w. Suppose -12 = 6*n - 9*n. Let u(g) = -4*g - 15. Let j be (1 - (-10)/(-3))*-3. Calculate j*o(z) + n*u(z). -2*z - 4 Suppose -60 = 5*s - 5. Let r(j) be the second derivative of -4*j**5/5 + 11*j**3/6 - 8*j**2 - 2*j + 191. Let q(b) = -3*b**3 + 2*b - 3. Calculate s*q(z) + 2*r(z). z**3 + 1 Let r(i) = -39*i**3 - 30*i**2 - 11*i + 141. Let o(t) = 42*t**3 + 33*t**2 + 12*t - 143. Give -10*o(b) - 11*r(b). 9*b**3 + b - 121 Let f(m) = -1 - 2*m**3 - 2*m**3 - m**2 - 2*m**3 + m. Let k(g) = g**2 - g + 1. Let r(c) = 8*c + 55. Let a = 159 - 166. Let x be r(a). Determine x*k(d) - f(d). 6*d**3 Let t(v) = -2731*v**2 + 16*v + 16. Let d(o) = -556213*o**2 + 3258*o + 3258. What is -8*d(q) + 1629*t(q)? 905*q**2 Let i(c) = 2*c**3 - 5*c**2 - 4*c. Let h(y) = 19*y**3 + 26*y**3 - 93*y**3 + 25*y**3 + y**2 + 22*y**3. Give 5*h(l) + i(l). -3*l**3 - 4*l Let
{ "pile_set_name": "DM Mathematics" }
common divisor of f and h? 13 Suppose -3*l + 11 = -4. Suppose -22 = -h - l. Calculate the highest common divisor of 34 and h. 17 Let j(d) = 8*d**2 + 13*d - 3. Let z be j(-2). Calculate the greatest common factor of 201 and z. 3 Suppose -19*l = -17*l - 3*n - 2383, l - 4*n - 1179 = 0. What is the greatest common factor of 327 and l? 109 Let p be (-4)/(-6) - 7/(42/(-8)). Calculate the highest common factor of p and 32. 2 Let v = -44 + 63. Let n(y) be the first derivative of y**4/2 - y**3 + 4*y**2 - 6*y + 1. Let p be n(5). Calculate the greatest common factor of v and p. 19 Suppose 0 = -3*q - 4*l + 304, 44*q = 39*q - 2*l + 516. Calculate the greatest common factor of q and 260. 52 Let s(o) = 2*o**2 - 5*o + 4. Let a be s(3). Let h = 20 - 16. Suppose -49 = -h*z - 3*z. Calculate the greatest common factor of z and a. 7 Suppose -10*m + 15 = -5*m. Suppose -2*b - b - 2*l + 110 = 0, m*b + 4*l - 100 = 0. Calculate the greatest common factor of 20 and b. 20 Let n(c) = 2*c**2 - 15*c + 11. Let r(h) = -5*h**2 + 44*h - 32. Let i(a) = 8*n(a) + 3*r(a). Let z be i(-13). Calculate the highest common factor of z and 5. 5 Suppose 5*j = 3*b + 320, 35*b - 32*b - 64 = -j. Suppose -2*a - a + 96 = 0. Calculate the greatest common divisor of a and j. 32 Suppose 11*x - 5*x = 306. Let j = 76 - x. Calculate the highest common divisor of 175 and j. 25 Suppose 494 + 218 = 8*h. Calculate the greatest common divisor of 3293 and h. 89 Suppose 0 = -f - 4*s + 2, 7*s - 11*s - 68 = -4*f. Let d = -3 - -4. Let y be 72 + -4 + (d - -1). Calculate the greatest common divisor of y and f. 14 Let g = -2 - 2. Let c be (1 - -10)/(g/(-20)). Suppose h + 5 - c = 0. Calculate the greatest common factor of h and 10. 10 Let x = 14 - 3. Suppose -x*g + 6*g + 160 = 0. Suppose -a + g = a. Calculate the highest common factor of a and 80. 16 Let r(h) = -64*h + 5. Let d be r(1). Let u = 103 + d. Calculate the highest common factor of 11 and u. 11 Suppose 8*j - 5 = -29. Let v be 25/(3 + 1 + j). Suppose 0 = -2*x + x - 3*f + 35, -2*f = -x + v. What is the highest common factor of 232 and x? 29 Let t = 4653 + -3022. What is the greatest common factor of t and 7? 7 Let h(p) = 5*p + 24. Let n be h(-5). Let q be n + -2 + 11 - -1. Calculate the greatest common divisor of q and 18. 9 Let n(r) be the third derivative of -r**6/120 + r**5/15 + 11*r**4/24 + 7*r**3/3 + 39*r**2. Let w be n(6). What is the highest common factor of w and 56? 8 Let v = 35 + -21. Let m = v - 5. Suppose 5*h - h = -4*t + 240, 5*h + 204 = 3*t. What is the greatest common divisor of m and t? 9 Let d(g) = -2*g**3 - 4*g**2 - 5*g - 5. Let u be d(-3). What is the greatest common factor of u and 1? 1 Let w = -125 + 125. Suppose -3*n + w*n = -18. Calculate the greatest common divisor of n and 96. 6 Let l = 101 - 74. Suppose -90 = -5*h + 2*a - a, -l = -h + 2*a. Calculate the greatest common factor of 51 and h. 17 Suppose 18 = 12*p - 18. Suppose -r - 2*q = 4*r - 182, -q - 107 = -p*r. What is the greatest common factor of r and 18? 18 Let q = -793 + 801. Let u be (-20)/(-6)*(-36)/(-15). What is the greatest common divisor of u and q? 8 Let b = -394 + 668. Suppose -b = -3*a - 5*t + 3*t, -4*t = -8. What is the greatest common divisor of 15 and a? 15 Suppose 3*p - 5856 = -3*s, 0*p - 4*p - 12 = 0. Suppose 22*n - s = 5*n. Suppose 81 = 4*c - 103. What is the greatest common factor of n and c? 23 Let a be 200 - (-4 + (-12)/(-2)). Suppose 4*c - a = 486. What is the highest common factor of c and 19? 19 Let k = -7 + 7. Suppose k = 2*t - 8*t + 264. Calculate the highest common divisor of 66 and t. 22 Let o = 3861 - 2511. What is the greatest common factor of 60 and o? 30 Suppose -1 = 6*n - 13. Suppose 0 = 5*m - 6*m - n. Let c be (-2 - (m - 3))*51. What is the highest common divisor of c and 17? 17 Let q(u) = 2*u**2 + 11*u + 24. Let k be q(-3). Suppose 4*h - 284 = 2*x, 0*x + 364 = 5*h + 2*x. Calculate the greatest common factor of h and k. 9 Let j(u) = u**2 - 10*u - 12. Let d be j(11). Let x be (d/(-2))/((-1)/(-10)). Let z be (-1)/x - 322/(-10). Calculate the highest common divisor of 16 and z. 16 Suppose 2*t - 51 = t + 4*s, 4*s = -2*t + 126. Let l = 244 + t. Suppose 4*p = -3*o + 2*p + l, 0 = -5*p + 15. Calculate the greatest common factor of 9 and o. 9 Let j = 16 - 13. Suppose -j*i = -g - 189, 0 = -4*i + 3*g - 0*g + 252. Suppose -5*v + i = -22. Calculate the highest common factor of 85 and v. 17 Let o(l) = l**3 - 11*l**2 - 19*l. Let b be o(12). Let n = b - -114. Let m be (-3)/9 - 61/(-3). What is the greatest common divisor of n and m? 10 Let u = -426 + 430. Let a(f) = -3*f - 6. Let i = -8 - -4. Let v be a(i). Calculate the greatest common divisor of u and v. 2 Let t = 1089 + -1039. Calculate the greatest common divisor of 175 and t. 25 Let z(w) = w**3 + 12*w**2 - 4*w - 35. Let r be z(-12). Let l(n) = 104 + 2*n - 3*n + 0*n. Let d be l(0). Calculate the highest common factor of r and d. 13 Suppose 0 = -4*w - 4*l + 372, 415 = 5*w + 4*l - 9*l. Calculate the highest common divisor of 8 and w. 8 Let u be 2*(-3)/((-12)/14). Let r(l) = -l**2 + 11*l - 9. Let o be r(u). Suppose -7*n + 90 = -43. Calculate the highest common divisor of o and n. 19 Let s be 1*(0 + -1) - -6. Suppose -s*p - 360 = -10*p. What is the highest common divisor of 24 and p? 24 Let y(k) = 28 + 5*k - 5*k + 61*k**2 - 59*k**2. Let c be y(0). What is the greatest common factor of 28 and c? 28 Suppose 0 = -13*a + 26*a - 6565. What is the highest common divisor of a and 303? 101 Suppose -46 + 136 = 9*h. What is the greatest common factor of 3 and h? 1 Let t(b) = 202*b**3 - 2*b**2 + b. Let n be t(1). Suppose 35*r = 39*r + 540. Let v = n + r. Calculate the highest common divisor of 6 and v. 6 Let m = 943 + -935. Suppose 52 + 74 = 3*f + 2*w, 5*f = -3*w + 211. What is the highest common divisor of f and m? 4 Let p(w) = -w**2 + 34*w - 133. Let y be p(26). What is the greatest common factor of 165 and y? 15 Let f(l) = -2*l - 10. Let n be f(-8). Let a = n - -10. Suppose -369 = -4*o - 49. Calculate the highest common factor of o and a. 16 Let h be (-30)/4*2292/(-18). Suppose -h = 7*t - 12*t. Let q = t - 114. What is the highest common divisor of 11 and q? 11 Let n(z) = z**2 - 7*z + 8. Let g be n(6). Suppose -2*l - 5*q + 52 = 0, g*q = l + 1 - 9. Calculate the greatest common factor of 16 and l. 16 Suppose 17*u - 2845 + 550 = 0. Calculate the highest common factor of u and 45. 45 Let f be (-15)/5 + 71 - (-2 + -2). Let h = f + -54. What is the greatest common factor of 99 and h? 9 Let f = 2520 + -2448. Let o = 13 - -3. Calculate the greatest common factor of f and o. 8 Let m = 86 + -57. What is the greatest common divisor of 899 and m? 29 Let u = -208 - -51. Let m = -20 - u. Let d = -57 + m. Calculate the greatest common divisor of 8 and d. 8 Let k(j) = -j**3 - 6*j + 45. Let i be k(0). What is the highest common divisor of 10 and i? 5 Suppose 0 = -2*s + 3 + 3. Let z(v) = 4*v + 2 - 4 - 3*v**2 + 4 - v**s. Let u be z(-4). Calculate the greatest common divisor of 4 and u. 2 Suppose -w + 5*w = -68. Let d = w + 21. What is the greatest common divisor of d and 36? 4 Suppose 0 = 3*x - 4*h - 102, -3*x = 2*h - 3*h - 93. Let p = -83 + 103. Calculate the highest common factor of p and x. 10 Let b(l) = l**3 + 10*l**2 - l + 7. Let d be b(-7). Let p = -107 + d. Calculate the highest common factor of p and 18. 18 Suppose 2*z + 21 - 73 = 0. Suppose 0 = -n - p - p - 46, 0 = -4*n + 2*p - 234. Let a = 95 + n. Calculate the highest common factor of z and a. 13 Let q(c) = -13*c + 2. Let z be q(-4). Let b = -3191 - -3209. What is the greatest common factor of b and z? 18 Let m(x) = -19*x + 429. Let j be m(-11). What is the greatest common divisor of 58 and j? 58 Let h be 15/30 + (2 - (-2)/(-4)). What is the greatest common factor of h and 54? 2 Let q(r) = -4*r - 10. Let j(a) = -a**2 - 19*a - 4. Let s be j(-19). Let h be q(s). What is the greatest common factor of h and 4? 2 Let r(o) = -5*o**3 + 3 - 10*o - 3*o**2 - 8 + 4*o**3 + 7. Let i be r(-5). Calculate the greatest common factor of i and 153. 51 Suppose 5*z = 9 + 1. Suppose -4*b - 3*k - 3 = -z, -2*k - 8 = -b. Suppose -168 = -b*s - 4*c + 2*c, 3*c = 0. Calculate the highest common divisor of 12 and s. 12 Let a(c) = 2*c**2 + 11*c. Let q be a(-8). Calculate the greatest common factor of
{ "pile_set_name": "DM Mathematics" }
by u(4). 9 Suppose 2*i - 3*q = 49, 0 = -4*q + q + 15. Calculate the remainder when 140 is divided by i. 12 Suppose 6*f - 1167 = 3*f - 5*x, 3*f - 1167 = -4*x. Calculate the remainder when f is divided by 13. 12 Suppose -4*m - s = -123, 2*m + 2*s = 10 + 44. Calculate the remainder when 222 is divided by m. 30 Calculate the remainder when 160/6*(96/30 + -2) is divided by 16. 0 Let s(l) = -l**2 - 2*l + 93. What is the remainder when s(0) is divided by 12? 9 Let j be (16/(-6))/((-12)/18). Let x(r) = 2*r**3 - 3*r**2 - 3*r - 7. What is the remainder when x(j) is divided by 22? 17 Suppose 0 = s - 30*v + 34*v + 5, 2*v + 16 = 4*s. Let f(q) = -q**3 + 10*q**2 + 25*q - 9. Calculate the remainder when s is divided by f(12). 0 Let j(g) = 3*g - 7. What is the remainder when (0 + 1)/((-7)/(-118 + -1)) is divided by j(4)? 2 Suppose 4*s - s - 90 = 3*v, -2*s = 4*v - 54. What is the remainder when 343 is divided by s? 24 Suppose -1000 = -45*h - 370. What is the remainder when h is divided by 4? 2 Let v(n) = -5*n**2 - 4*n - 14. Let o be v(-5). Let k = 130 + o. What is the remainder when 16 is divided by k? 5 Let q(r) = -r**3 - 8*r**2 - 7*r - 7. Let v be q(-7). Let u(x) = x**2 + 6*x - 10. Let w be u(v). What is the remainder when w/(-3 + 210/71) is divided by 24? 23 Let x(i) = i. Let h(a) = a**2 + 7. Let q(n) = h(n) + 4*x(n). Let c be q(-9). Suppose 3*v + v - c = 0. What is the remainder when 50 is divided by v? 11 Let i(m) = -72*m + 110. What is the remainder when i(-4) is divided by 25? 23 Let b = 11 + -9. Let q(w) = 5*w**2 - 4*w + 2. Let z be q(b). Suppose 10*o = z*o - 24. Calculate the remainder when 27 is divided by o. 3 Let c(k) = k**3 - 6*k**2 - 16*k + 21. What is the remainder when c(8) is divided by 6? 3 Suppose 19*o - 82 = 1875. Calculate the remainder when o is divided by 5. 3 Suppose 0 = 96*m - 492 - 5268. Calculate the remainder when m is divided by 13. 8 Let y(b) = 3*b - 12. Suppose -16*k = -17*k + 42. What is the remainder when k is divided by y(7)? 6 Let w(h) = 189*h - 377. Calculate the remainder when w(10) is divided by 15. 13 Let p = 186 + -97. Suppose -4*x + a = 73, -5*x - 3*a + 2*a = p. Let c = 26 - x. What is the remainder when c is divided by 12? 8 Let q be 6/57 + 10028/38. Let x = q + -8. What is the remainder when x is divided by 37? 34 Calculate the remainder when 143 is divided by (-15)/(-20) - (-4 - 1230/24). 31 Suppose -2 = 3*r - 17. Let i = r - -25. Calculate the remainder when 208 is divided by i. 28 Suppose -6*r + 165 + 117 = 0. Suppose 2*j - 3*j = -17. What is the remainder when r is divided by j? 13 What is the remainder when 33/(-12)*-20 + -1*2 is divided by 9? 8 Suppose -23*r - 37 + 428 = 0. Calculate the remainder when 728 is divided by r. 14 Let y(x) = -x**3 + 19*x**2 + x - 27. Let g be y(19). Let t = g - -33. Calculate the remainder when t is divided by 4. 1 Let d(r) = 10*r - 21. Suppose 40 + 24 = 8*c. What is the remainder when d(9) is divided by c? 5 Suppose 16*m - 451 = 5*m. What is the remainder when m is divided by 12? 5 What is the remainder when (-18112)/(-24) - (-84)/36 is divided by 40? 37 Let t(y) = 2*y**2 + 11*y + 3. Calculate the remainder when 141 is divided by t(3). 33 Suppose -4*z = 4*r - 40, -6*r - z = -r - 66. Let v = 26 - r. What is the remainder when 31 is divided by v? 7 Let s(r) = r**3 + 23*r**2 + 22*r + 22. What is the remainder when 830 is divided by s(-22)? 16 Let n(b) = b + 9. Let a be n(-9). Let w be a/(2 + (-15)/3). Suppose w = -5*f + 2*f + 12. What is the remainder when 18 is divided by f? 2 Calculate the remainder when ((817 + -9)/(-4))/(2/(-3)) is divided by 51. 48 Let b(y) = -y**3 + 7*y**2 + 6*y + 17. Suppose -3*z + 23 + 1 = 0. What is the remainder when b(z) is divided by (0 - 1*-1)*1? 0 Suppose -6*a = -140 - 58. Suppose 3*x - 2*x = a. What is the remainder when x is divided by 12? 9 Let z(v) = -2*v**2 - 3*v - 6*v**2 + 3 + 8*v**2 + 3*v**3. Calculate the remainder when z(2) is divided by (15/(-2) - -2)*-2. 10 Let u = 144 + -130. Suppose -u*d + 3*d = -1034. What is the remainder when d is divided by 51? 43 Let w(x) = 5*x - 7. Let l = 194 + -184. What is the remainder when w(9) is divided by l? 8 Let b = -55 - -118. Let u be 0/(-4 + 4/2). Suppose y + y - 26 = u. Calculate the remainder when b is divided by y. 11 What is the remainder when 398 is divided by 20/((60/6)/20)? 38 Suppose 10*o + 74 = 12*o. What is the remainder when o is divided by 12? 1 Let q be ((-5)/(-4))/((-18)/(-1080)). Suppose 0 = -4*a + 5*h + 69, 10*a = 5*a + 4*h + q. Calculate the remainder when a is divided by 3. 2 Let p(h) = -h + 6. Let c be p(-14). Let y(n) = 4*n - 49. Calculate the remainder when 123 is divided by y(c). 30 Let q = -61 - -65. Suppose r = -4*j + 42, q*r - 3*r - 2*j - 36 = 0. What is the remainder when r is divided by 5? 3 Let f(d) = d**2 - 4*d + 9. Let y = -34 - -49. What is the remainder when f(-4) is divided by y? 11 Suppose 27*z = -0*z + 81. What is the remainder when 502 is divided by z? 1 Let b = 30 + -17. Let n = 39 - b. Let j = 131 + n. What is the remainder when j is divided by 32? 29 Let b(y) = -4*y + 2. Suppose 4*o + o + q = 20, 0 = -o + 3*q - 12. Let a be -4 + o/(-1 + 4). Calculate the remainder when 53 is divided by b(a). 11 Let w(z) = 21*z - 4. Suppose -o = 7*o - 1400. What is the remainder when o is divided by w(3)? 57 Let p(h) = -5*h**2 + 96*h - 10. What is the remainder when 65 is divided by p(19)? 2 Let y = -30 - -34. Let v be 2*-18 + (y - 4). What is the remainder when 16 is divided by (v/(-16))/((-6)/(-16))? 4 Let n = -25 + 18. Let j = 11 + n. Suppose -t - 5*u - 57 = -4*t, 4*t - u = 59. Calculate the remainder when t is divided by j. 2 Suppose 0 = y - 32 + 10. Let i(u) = -2*u. Calculate the remainder when y is divided by i(-4). 6 Suppose -4*f = -5*f + 28. Suppose 0 = 4*z - 0 - f. What is the remainder when 25 is divided by z? 4 Suppose -23*m + 19*m = -60. Suppose -2*l + 10 = 5*j, -3*j - 5*l + 0*l = -25. Let c = j - -57. Calculate the remainder when c is divided by m. 12 Suppose 5*l = -5, p - 26 = 4*l + 87. Let d = -74 + p. Calculate the remainder when d is divided by 13. 9 Suppose 4*y - 59 = 53. Suppose 4*i + 6*m - m = 69, -61 = -4*i + 3*m. Calculate the remainder when y is divided by i. 12 What is the remainder when 4653/(-396)*4*(-2)/1 is divided by 25? 19 Let p = -354 - -508. What is the remainder when p is divided by 12? 10 Let c be (-549)/(-6)*(-16)/(-6). Let r be ((-12)/(-4))/((-6)/c). What is the remainder when r/6*(-11 - -8) is divided by 32? 29 Let k be 144/10 - 2/5. Let p = k - 11. Suppose 0*f = -p*f + 9. Calculate the remainder when 5 is divided by f. 2 Suppose 10 = u - 2. Suppose 9 = 22*x - 1003. What is the remainder when x is divided by u? 10 Suppose -1509 - 1221 = -21*j. What is the remainder when j is divided by 12? 10 Suppose p = -0 - 5, 3*o - 3 = -3*p. Let x(u) = u**2 - 3*u - 3. Calculate the remainder when 59 is divided by x(o). 14 Suppose 5*b + 7 = 5*z - 123, 0 = 5*z + 2*b - 130. Calculate the remainder when 123 is divided by z. 19 Let a(v) = v**3 - 65*v**2 + 189*v - 183. Let q = -2 + 4. What is the remainder when -2 - (q - 3)*7 is divided by a(62)? 2 Suppose 1 + 7 = 4*k. Suppose -7*r + 55 = -k*r. What is the remainder when 21 is divided by r? 10 Let s(l) = -2*l - 10. Let h be s(-7). Suppose -2*p + 226 = 5*y - 5*p, -h*p + 12 = 0. What is the remainder when 16 is divided by y/5 - 24/60? 7 Let w = -85 + 88. Suppose 5*d = 3*t - 65, w*d + 8 = d. What is the remainder when 72 is divided by t? 12 What is the remainder when 692 - (-35)/14*2 is divided by 70? 67 Suppose -2*x + x = 5*s - 81, -x - 31 = -2*s. Let v = 4 + -10. Let u(o) = -3*o - 8. Calculate the remainder when s is divided by u(v). 6 Let h be 1*((-6 - -1) + 0). Let i = -3 - h. What is the remainder when ((-48)/(-28))/(8/28) is divided by i? 0 Suppose 3*f = 5*s + 162, -f + s = -0*s - 52. What is the remainder when f is divided by 18? 13 Let p = -2 + 3. Suppose -3*y + f = -8*y + 17, -4*f = -5*y + 7. Suppose -6 = -y*s + s. What is the remainder when s is divided by p? 0 Let a(o) = -o**3 + 8*o**2 + 2*o - 7. Suppose -2*v = -6*v. Suppose v = d - 8. What is the remainder when a(d) is divided by 5? 4 Let l(f) = f**2 + 7*f - 12. Let y be l(-9). Suppose 0 = 4*p - 18 + y. Suppose 46 - 10 = p*k. What is the remainder when 46
{ "pile_set_name": "DM Mathematics" }
440166? True Is 276 a factor of 308326500? True Does 3834 divide 184453740? True Does 6 divide 237240? True Is 1307 a factor of 1523508292? False Does 81 divide 32767011? True Is 63 a factor of 1925861722? False Is 6 a factor of 73547232? True Is 13764258 a multiple of 748? False Is 176407020 a multiple of 190? True Does 18 divide 162387432? True Does 239 divide 95358610? True Is 527105404 a multiple of 37? True Is 109 a factor of 23690942? False Does 3 divide 3144673? False Is 540 a factor of 258103298? False Is 2195 a factor of 257714950? True Is 1394340241 a multiple of 73? False Is 661797926 a multiple of 21? False Is 37480116 a multiple of 372? True Does 3 divide 34226121? True Does 8 divide 5932927? False Is 36 a factor of 147984948? True Is 8 a factor of 132262600? True Is 190 a factor of 276900348? False Does 92 divide 21419348? True Does 90 divide 43390436? False Is 1374244473 a multiple of 7? True Is 1108172365 a multiple of 111? False Is 560 a factor of 123344480? True Is 1024526897 a multiple of 578? False Is 3084437 a multiple of 46? False Is 10 a factor of 122731850? True Is 5976587 a multiple of 15? False Is 566 a factor of 2712471798? True Is 45785450 a multiple of 775? True Is 1418053539 a multiple of 393? False Does 1827 divide 85443309? True Is 124 a factor of 156701404? True Is 19 a factor of 800492320? False Is 59 a factor of 108880735? False Is 1478601040 a multiple of 560? True Does 17 divide 110464590? False Is 58 a factor of 397582219? False Is 322266508 a multiple of 356? True Is 967205 a multiple of 14? False Is 1668631354 a multiple of 477? False Is 15 a factor of 479704770? True Does 58 divide 640209104? True Does 667 divide 5947639? True Does 8 divide 17120864? True Does 66 divide 32615748? True Is 82202113 a multiple of 5? False Is 18255355 a multiple of 401? False Is 519037302 a multiple of 203? True Is 225 a factor of 34033466? False Is 2029532 a multiple of 61? False Does 43 divide 157810860? True Is 14 a factor of 2042666? False Is 3 a factor of 7088885? False Does 11 divide 11387417? False Is 4 a factor of 53668108? True Is 28 a factor of 816540930? False Does 44 divide 26732684? True Does 125 divide 193077500? True Is 1872472460 a multiple of 358? True Is 13 a factor of 1150942364? True Is 80056238 a multiple of 23? True Is 26864461 a multiple of 670? False Does 10 divide 48175670? True Is 49 a factor of 10499622? True Is 94 a factor of 4390176? True Is 202034785 a multiple of 763? False Does 60 divide 188172021? False Is 4164185150 a multiple of 115? False Is 85 a factor of 143669871? False Does 437 divide 14739392? False Does 1030 divide 1396959130? True Is 464263472 a multiple of 17? True Does 3363 divide 166601060? False Is 12 a factor of 455001445? False Is 103 a factor of 60959726? True Does 2359 divide 1981961030? True Does 1382 divide 27818292? False Is 30 a factor of 107024988? False Is 835559774 a multiple of 506? False Is 8823360 a multiple of 10? True Is 534000 a multiple of 178? True Is 118414652 a multiple of 37? True Is 19142664 a multiple of 7? False Is 43 a factor of 47466681? False Does 3 divide 5458335? True Is 202197755 a multiple of 6253? False Is 6993551 a multiple of 8? False Is 384 a factor of 10537418? False Is 132744160 a multiple of 6595? True Is 102461784 a multiple of 6? True Does 855 divide 59879925? True Is 2239275132 a multiple of 12? True Is 19 a factor of 1651489113? False Is 6 a factor of 190514469? False Is 298081614 a multiple of 6? True Is 245423072 a multiple of 37? True Is 22020737 a multiple of 175? False Is 63805233 a multiple of 17? True Is 387475957 a multiple of 175? False Is 4 a factor of 10162136? True Is 157273398 a multiple of 18? True Is 24738286 a multiple of 1365? False Is 175 a factor of 705507075? True Is 585655930 a multiple of 7? False Does 27 divide 3415898277? True Does 342 divide 16283831? False Does 921 divide 1103358? True Is 1542003724 a multiple of 4? True Does 9 divide 387329580? True Does 775 divide 106517550? True Does 383 divide 1462229656? True Is 6109691680 a multiple of 1402? True Does 5392 divide 637382928? True Is 83 a factor of 131172204? True Is 89250181 a multiple of 342? False Is 2028 a factor of 1438192153? False Is 825822720 a multiple of 2304? True Does 2369 divide 31453088? False Is 15804700 a multiple of 44? False Is 3119 a factor of 25018249? False Does 772 divide 1572564? True Is 15998724 a multiple of 12? True Is 363 a factor of 841845279? True Is 149 a factor of 1129436398? False Is 10 a factor of 24157285? False Is 76 a factor of 14173543? False Is 3849300208 a multiple of 221? True Is 132023014 a multiple of 97? True Is 13 a factor of 1024218? True Is 472797938 a multiple of 183? False Does 28 divide 26344104? False Is 484 a factor of 1890578052? True Is 10 a factor of 6615293? False Is 70502103 a multiple of 63? True Does 1115 divide 11310560? True Does 3455 divide 348391835? True Is 1937747360 a multiple of 10? True Is 11526732 a multiple of 378? True Is 26689233 a multiple of 25? False Does 1586 divide 471674690? False Is 704132975 a multiple of 13? True Is 591420 a multiple of 60? True Is 28291918 a multiple of 1234? True Is 2009 a factor of 145803175? True Does 62 divide 56884145? False Is 45 a factor of 119900908? False Does 2725 divide 95362134? False Is 82 a factor of 129151216? False Is 193 a factor of 229100071? True Does 105 divide 1427282? False Is 19515836 a multiple of 7? False Is 87355179 a multiple of 57? True Is 74 a factor of 122487390? True Is 989 a factor of 8787265? True Does 11 divide 11129472? False Is 3 a factor of 1666962? True Is 3 a factor of 339260606? False Is 43 a factor of 371257614? True Does 244 divide 919617466? False Does 18 divide 1691784? True Is 77636478 a multiple of 6? True Does 14 divide 503638785? False Does 133 divide 26576725? True Is 222 a factor of 37308663? False Does 54 divide 481180608? True Is 69 a factor of 192842649? True Does 2039 divide 327706041? True Is 2856968588 a multiple of 44? False Is 926504628 a multiple of 3164? True Does 7 divide 300880403? False Is 443 a factor of 14303847? False Does 561 divide 65981454? True Is 982302234 a multiple of 6? True Does 1163 divide 6578871? False Is 111694024 a multiple of 26? True Does 2289 divide 37095534? True Is 35117604 a multiple of 24? False Does 907 divide 141401300? True Is 3445 a factor of 2275990681? False Is 19973056 a multiple of 9? False Is 489 a factor of 25409418? True Does 1737 divide 18830817? True Does 50 divide 96682153? False Is 5 a factor of 8755947? False Is 5412176 a multiple of 20? False Is 26 a factor of 30627168? True Is 20649880 a multiple of 10? True Is 315501506 a multiple of 2731? True Is 375 a factor of 519379500? True Does 1010 divide 122956709? False Is 32 a factor of 631153120? True Does 8071 divide 2836714370? True Is 250178810 a multiple of 245? True Does 19 divide 456843962? False Is 111 a factor of 82258215? True Is 57 a factor of 1329103941? True Is 55302580 a multiple of 46? True Does 150 divide 10052789? False Is 67 a factor of 144308907? False Is 419 a factor of 100343392? False Is 119 a factor of 394926966? True Is 1328 a factor of 5562449? False Is 345440349 a multiple of 88? False Is 382 a factor of 174887185? False Is 1088349734 a multiple of 482? True Is 8985240 a multiple of 33? True Is 6 a factor of 249894264? True Does 240 divide 91973280? True Is 62 a factor of 128186377? False Is 16 a factor of 1458714768? True Does 5812 divide 6242314668? True Is 67 a factor of 29343789? True Does 1163 divide 164779655? True Is 575 a factor of 29619400? True Is 6 a factor of 43639296? True Does 14 divide 58101336? False Is 1050257 a multiple of 13? True Is 15803460 a multiple of 20? True Is 62788236 a multiple of 38? True Is 819888361 a multiple of 4313? True Is 41511144 a multiple of 34? True Is 3990 a factor of 57304380? True Does 18 divide 396865215? False Is 107244759 even? False Is 2401377 a multiple of 27? False Is 5470 a factor of 487973230? True Is 3563 a factor of 209714617? True Is 61691466 a multiple of 164? False Is 218 a factor of 124741562? True Does 5 divide 5033365? True Does 22 divide 721849885? False Is 4 a factor of 32073056? True Is 33022458 a multiple of 18? True Is
{ "pile_set_name": "DM Mathematics" }
(-5). Solve n*b - a = -b for b. 1 Suppose -4 = 4*a - 24. Solve 5*v + a = -0 for v. -1 Let f = -21 + 23. Solve -f*x = -7 - 1 for x. 4 Let u = -19 + 13. Let d = u + 21. Solve -2*s = 3*s - d for s. 3 Suppose 3*t = -4*b - 9, t + 3 - 1 = -b. Let w be b*-2*3/6. Suppose w*u + 27 = -r + 6*r, 2*r + 6 = -3*u. Solve -j + r = -0*j for j. 3 Suppose 6*b - 2*b + i - 25 = 0, b - 5*i = -20. Suppose 0 = -4*r + 4. Solve d - b + r = 0 for d. 4 Suppose -7*s + 9 = -19. Solve s*y = -y for y. 0 Let a(v) = v**3 + 8*v**2 + 7*v - 4. Let j be a(-7). Let d be 2/j - 15/(-6). Solve -d + 6 = 4*p for p. 1 Let s(z) = z + 8. Let g be s(-3). Solve 5 = g*m - 0 for m. 1 Let z(f) = f**2 - 7*f - 28. Let w be z(11). Solve 0 = -7*o + 3*o - w for o. -4 Let v be (-5)/(-25) + (-1)/5. Suppose -2*z + 0*z = v. Solve -g - g + 8 = z for g. 4 Suppose 7*m - 2*m = 10. Solve -m*j = -6*j - 4 for j. -1 Suppose -3*m = -0*m. Solve m - 2 = s for s. -2 Let s = -19 + 4. Let m be ((-36)/(-14))/(s/(-70)). Suppose -3*x - x - 4*y = 0, 0 = 2*x + y. Solve q + 3*q + m = x for q. -3 Let l = -29 - -29. Solve -3*o - o = l for o. 0 Suppose 4*j - j = 18. Let a = 6 + -2. Solve 0 = -a*f + j - 2 for f. 1 Suppose -4*f - 5*z = -21, 4*z + 13 - 1 = 4*f. Solve 0 = -f*a + 6*a - 8 for a. 4 Suppose n = 5*r + 27, 2 = -4*n - 3*r - 5. Solve 0*s - 8 = n*s for s. -4 Let h be (2 + -1)*1*1. Let l be -18 + 21 + (1 - 2 - -1). Solve -h = 4*a + l for a. -1 Suppose 3*d - 3*l + 12 = 0, 2*l + 2*l = -4*d. Let j be (-168)/(-20) + d/5. Solve -3*w + j*w = -5 for w. -1 Let l(t) = t - 10. Let c be l(0). Let r = 14 + c. Solve -r*a = -1 - 3 for a. 1 Suppose 2*z - x + 77 = 6*z, 0 = -z - 2*x + 21. Let r = z - 14. Solve r*c = c for c. 0 Suppose -2*z + 5*c = -11 - 6, 0 = -3*z - 2*c - 3. Solve 0*r - z = -r for r. 1 Suppose -p + 3 = 2*p. Solve -17 = -4*g - p for g. 4 Suppose -5*r = -7*r + 8. Suppose r*q = 10 + 2. Solve -y = -q*y + 4 for y. 2 Suppose -a + 0*v - 5*v = -25, -4*a - 15 = -3*v. Solve 2*l = -a*l + 8 for l. 4 Suppose -12 = -2*p - p. Suppose 0 = -p*q - 5*x + 5 + 23, 5*x - 16 = 2*q. Solve 6 = q*z - 5*z for z. -2 Suppose 4*v - 10 = -0*v - n, 0 = 5*v + 2*n - 14. Suppose -x + 4 = v. Suppose -q - 3*o + 15 = 0, 0 = 5*q - o + 3 + x. Solve 3*j = -q*j + 3 for j. 1 Let n be (-15)/(-25) - (-48)/(-5). Let v = n - -3. Let h be 9/v*(-24)/9. Solve -2 = -u - h for u. -2 Let s(n) = -n**2 + 9*n - 3. Let v be s(8). Solve -4*a - a = v for a. -1 Suppose 815 = 4*o - 81. Suppose o + 24 = 4*k. Suppose 0 = -5*u + k + 63. Solve -u = 4*m + m for m. -5 Suppose d + 0*d - 4 = 0. Solve -3*s + d = -s for s. 2 Let w be (-1)/(-1) - (1 + 0). Suppose 6*j = -a + 2*j + 34, a + 2*j - 24 = 0. Let v be 26/5 - (-2)/(-10). Solve -v*i - a - 1 = w for i. -3 Let b be (-2)/2*40/(-8). Solve 0*n - b*n = 0 for n. 0 Suppose 0*h - 7 = -h. Suppose 0 = r - 3 - h. Solve 7*y - 2*y = r for y. 2 Let r be (2 - 1)*(-21)/(-7). Solve 2 = -l + r for l. 1 Let o = 6 + -4. Solve -2*m = o*m for m. 0 Suppose m - 10 = -0*m. Let b = 18 - m. Let d(q) = 6*q + 92. Let h be d(-15). Solve -2*t - h = -b for t. 3 Let w be 1*(0 - -1*2). Suppose -4*c - 60 = -4*m, 3*c + 71 = 5*m + 2. Let k = -8 + m. Solve -k*v = -w*v + 2 for v. -1 Let a = -3 + 6. Solve 2*r = a*r for r. 0 Let o = -10 - -11. Solve -2 - o = m for m. -3 Suppose -2*v + 22 + 48 = 0. Suppose 5*b = 5*f + 5 - v, b + 12 = 4*f. Solve -2*g - f*g - 8 = 0 for g. -2 Suppose -r + 8*r = 21. Suppose -3 = 3*b + 4*k, b - 9 = -k + r*k. Solve z = -b*z + 12 for z. 3 Suppose -i = -17 + 5. Solve -3*c = -6*c + i for c. 4 Let x = 38 - 28. Solve -x = 3*p - 1 for p. -3 Let m(f) = -f**3 - f**2 - f. Let r(a) = 5*a**3 - a**2 + 6*a - 6. Let y(q) = 4*m(q) + r(q). Let h be y(5). Let d = 18 + -11. Solve h*p - 15 = d*p for p. -5 Let a be (0 - 0)*(-2)/(-4). Suppose a*r = 3*r. Solve r = p - 5 + 1 for p. 4 Let a be (-20)/(-15)*(-6)/(-4). Let t = 6 - a. Solve -t*s = s - 25 for s. 5 Suppose 16 = 6*v - 5*v. Solve 2*l + 2*l = v for l. 4 Let k(i) be the third derivative of i**6/120 - i**5/12 + i**4/8 + i**3 + 7*i**2. Let f be k(4). Solve -2*j - f*j = -4 for j. 1 Suppose 12 = 4*j + 3*s - 4*s, -5*j + 2*s = -12. Solve z = -j*z for z. 0 Suppose -2*v + 6 = -2*c, -v - 4*c + 6 = 4*v. Let z(m) = -m + 1. Let s be z(1). Solve -v*a + 2 = -s*a for a. 1 Suppose -2*h + 12 = -0*h. Let z(y) = -y**3 + 5*y**2 + 2*y - 7. Let q be z(5). Solve -q*u + 6 = -h for u. 4 Let v(k) = k**2 - 2*k - 1. Let x be v(3). Suppose -x*p + 11 = 5*g, g - p - 11 = 3*p. Let n be 2/(g - 1)*1. Solve 0 = 2*h - n - 5 for h. 3 Suppose 20 = -5*w, -4*h + 2*w = 7*w + 20. Let a = h + 2. Suppose 0 = a*b + 3*b - 45. Solve -b = -d - 2*d for d. 3 Let q(a) = -1 - a + 0 - 1. Let o be q(-4). Solve 2*m - m = o for m. 2 Let c = 13 - 8. Suppose -3*q = 4*a - c*q - 18, 3*q = -3. Suppose -4*k + 8 = -3*s, 2*s + 2 = 3*k - a. Solve -3*l = k*l for l. 0 Suppose 3*o = -o + 20. Let t = o + 2. Solve -4 = u - t for u. 3 Let t be (55/22)/((-2)/(-4)). Solve -2 - 13 = t*q for q. -3 Let q(z) = -z**3 - 6*z**2 + 6*z - 4. Let b(l) = 4*l**3 - 2*l**2 - l - 2. Let n be b(2). Let k be (-2)/(-5) - 148/n. Let p be q(k). Solve 8*m - 25 = p*m for m. 5 Suppose b - 3*k = -4*b + 35, 4*b - 3*k = 31. Let q be (-2 - (14 + 1))/(-1). Solve q = -b*p - 3 for p. -5 Suppose -4*l - 7 = 9. Let n be -14*6/l*1. Let p = -13 + n. Solve 0 = 3*w + w + p for w. -2 Let u(l) = l**3 - 8*l**2 + 7*l + 2. Let y be u(7). Solve -2 + 12 = -y*n for n. -5 Let i(n) = -n**2 - 7*n. Suppose 0 = 4*u - u + 21. Let w be i(u). Solve 0 = -5*k - w*k + 15 for k. 3 Suppose 4 = -2*a - 4*g - 0*g, -3*a = g + 11. Suppose 2*l - 4 + 1 = 3*m, 2*l = -3*m - 3. Let z be (-36)/a + 2 + m. Solve 3*h - 5*h + z = 0 for h. 5 Let g(s) = s + 6*s - 3*s - 1. Let b(h) = -13*h + 3. Let z(i) = -4*b(i) - 11*g(i). Let y be z(1). Solve y = 3*o + 22 for o. -5 Suppose -5*f + 5 + 0 = 0, -k - 2*f + 25 = 0. Let l = -13 + k. Let p be ((-6)/l)/(6/(-30)). Solve 3*a + p = -0*a for a. -1 Let a = 6 + 1. Suppose -3*j = 2*j - 15. Solve -a = -5*q + j for q. 2 Let g be (-14)/(-2)*-1 + -3. Let s(d) = -d**2 - 9*d + 14. Let b be s(g). Solve -t + 0 = -b for t. 4 Suppose 3*g - 4*d = 6, d + 3*d + 4 = 2*g. Let s be (-27)/(-4) + g/8. Suppose 3*t + 4 = 1, b - 2*t = 4. Solve -s = -5*k - b for k. 1 Let q(s) = 2*s - 3*s**3 - s - 5*s**2 - 4 + 4*s**3 - 1. Let f be q(5). Solve f = 4*k - 0*k + 16 for k. -4 Suppose -29*o + 31*o = 32. Solve -7*n = -3*n - o for n. 4 Suppose 0 = 56*w - 53*w. Solve w = 2*q - 4 for q. 2 Let s be 3*6/(-90) - 2/(-10). Solve 3*g + g - 4 = s for g. 1 Let y be (30/6)/5 + 2. Solve -y*k - 6 = -3 for k. -1 Let c(s) = s + 9. Let p be c(-4). Suppose 0 = 2*x - 3 - 1, 3*x - 6 = 3*a. Suppose -16 = -4*v, 5*h - 4*v + a*v + 16 = 0. Solve h*z + p*z = 0 for z. 0 Let q be 3*(-3)/((-9)/(-1)). Let u be 0 + (0 - 2*q). Let p(k) = -k**3 + 4*k**2 + 7*k - 6. Let g be p(5). Solve u - g = 2*t for t. -1 Suppose -2 = -4*w + 10. Suppose -w*k + 1 = -3*t + 5*t, -t - 2 = 2*k. Solve -a + t = a for a. 4 Let x = 1 + -3. Let k be 1 - -1 - (-2 - x). Solve -8 = -0*s + k*s for s. -4 Let n(g) = -g**3 + 12*g**2 + 14*g + 3. Let z be n(13). Solve 6*f - z = 10*f for f. -4 Suppose 0 = 3*p + 3*v - 9, p + 3*p = 4*v - 12. Solve p*w - 3*w = -6 for w. 2 Suppose 5*w - 2*p - 9 = 0, 5*p - 11 = -w + 7. Suppose w*b = b. Solve b = a + 5 for a. -5 Let c be 780/(-75) - -10 - (-47)/5. Let f = 4 + -2. Solve -d + c = f*d for d. 3 Suppose 4*d + 5*s = -61, -d - 23 + 9 = s. Let q = 12 + d. Solve 0*v + q*v - 15 = 0 for v. 5 Suppose -9*i + 10 = -10*i. Let r be (-4)/i + (-18)/(-5). Solve 25 = -q - r*q for q. -5 Suppose -6*j + 2*j = -2*l, -3*l = j - 7. Solve l*t = 4*t for t. 0 Let i(a) = -a**2 - 6*a + 16. Let c be i(-7). Solve -c = -h - 4 for h. 5 Let o(m) = -2 - 1 + 4*m + 0. Let a be o(3). Suppose -3*s = v - a, -s + 14 = v - 3*s. Solve 6*z = 3*z - v for z. -4 Let o(v) = -v**2 + 5*v. Suppose 0 = -4*z - 0*z + 24. Let h be o(z). Let w = 11 + h. Solve 2*n = n - w for n. -5 Let b be (6/(-3))/((-6)/(-3)). Let q be (0/(b + 0))/2. Solve a + q*a + 4 = 0 for a. -4 Let r be (378/12)/(-3)*2/(-3). Solve 4*y + r = 3 for y. -1 Suppose -4*q = 5*c - 0*q + 8, 2*q = 3*c - 4. Let x be 4/10*(4 - 24). Let r = x - -15. Solve c = -3*h - r + 22 for h. 5 Suppose -2*q + 3 = q. Solve 9 = -4*x + q for x. -2 Let b(v) = -v**3 + 6*v**2 - 6*v + 4. Let x be b(5). Let h be -3 - -3 - 1 - x. Let q = -1 - -6. Solve -q*d + 20 + h = 0 for d. 4 Let z = 9 - 7. So
{ "pile_set_name": "DM Mathematics" }
factor of h and 1? 1 Let t(o) = 86*o + 4. Let x be t(-2). Let u be ((-2)/(-6))/((-2)/x). Calculate the greatest common divisor of 224 and u. 28 Suppose 5*c + 3*m - 4012 = 0, -2*m - 1944 = -4*c + 1270. What is the highest common factor of c and 11? 11 Let i = 517 + -460. Calculate the greatest common divisor of i and 15. 3 Let v(a) = -a**3 - 12*a**2 - 10*a - 9. Let s be v(-9). Let t be (s/45)/(2/(-15)). Calculate the highest common factor of t and 216. 27 Let w(t) = 2*t**2 - 5*t + 2. Let f be w(3). Suppose -3*c + 45 = 2*x, 28 = f*c - 4*c + 5*x. What is the highest common divisor of c and 143? 13 Let g = 45 - 21. Let k = g - 19. Suppose k*f = -3*r + r - 7, 5*r - 5*f - 70 = 0. Calculate the greatest common factor of r and 9. 9 Suppose 0 = -3*n + 5 - 2. Let y be (-1*4)/(-98 + 94). What is the greatest common divisor of n and y? 1 Suppose -j + 160 = j. Suppose 0 = 3*t - 9, -3*t = 4*l - 6*t - 43. Suppose -84 - 124 = -l*s. Calculate the greatest common divisor of j and s. 16 Suppose 0 = -141*l + 150*l - 9108. Calculate the highest common factor of 88 and l. 44 Suppose -4*s - 4*m + 0*m + 136 = 0, 4*s - 164 = 3*m. Calculate the greatest common divisor of s and 2. 2 Let q = 52 - 47. Let o(d) = 2*d - 1. Let n be o(3). Suppose 3*b - 240 = -b - 5*i, -3*b - n*i = -185. What is the greatest common divisor of q and b? 5 Let q be (35 - 17)*4/((-8)/(-15)). Calculate the highest common factor of q and 225. 45 Let p be 12/(-9)*(-76 - 8). Calculate the greatest common divisor of 16 and p. 16 Suppose h - 8*h = -49. Let t be h/(-14) + 45/6. Let v be ((-42)/8)/((-2)/8). What is the greatest common divisor of v and t? 7 Suppose -3*q + 2*n + 29 + 59 = 0, -48 = -2*q + 4*n. What is the greatest common divisor of 1 and q? 1 Let o(k) = 595*k**2 - 10*k - 11. Let y be o(-1). Calculate the highest common factor of 11 and y. 11 Suppose x = 4*p - 4*x - 68, 64 = 2*p + 5*x. Let o(z) = -2*z - 3. Let f be o(10). Let y = f + 78. Calculate the highest common factor of p and y. 11 Suppose 3 = 2*f + 1. Let r be 3 + -5 - (f - 57). Calculate the greatest common divisor of 486 and r. 54 Suppose -n + 6 - 3 = 0. Suppose j - 28 = -3*y - j, -n*j = 4*y - 38. Calculate the highest common divisor of y and 64. 8 Let b(t) = -t**3 - 5*t**2 + 5*t - 4. Let x be b(-6). Let h be ((-120)/(-28))/(x/7). Calculate the greatest common factor of h and 45. 15 Suppose z = 3*z + 4, -5*v - 4*z = -67. Let l(d) = d**2 + d - 16. Let j be l(v). Calculate the greatest common factor of 28 and j. 28 Suppose 113 = j - 41. Suppose 5*a - 3*s = 101, -a + 53 = 4*s + 19. Calculate the greatest common factor of a and j. 22 Let w be 74/370 - 6694/(-5). What is the highest common factor of w and 13? 13 Let g(h) = 8*h**2 + 2*h + 2. Let m(l) = 9*l**2 + l + 2. Let x(o) = 7*g(o) - 6*m(o). Let j be x(-7). What is the highest common divisor of j and 11? 11 Let g be (39/(-6) - 0)*-12. Suppose -5*z = 3*h - g, -z - 26 = -h - 3*z. Let s = 168 + -116. Calculate the greatest common divisor of h and s. 26 Suppose -2*r + 3409 = -3*c, r - 2*c - 1712 = 2*c. What is the greatest common divisor of r and 4? 4 Suppose 2*g + 0*g + h - 142 = 0, -264 = -4*g + 3*h. Calculate the greatest common factor of g and 552. 69 Let z be (-1 - -3) + -5 + 68. Suppose 2*t = 3*t. Let p(r) = r**3 + r**2 - r + 13. Let s be p(t). Calculate the highest common divisor of s and z. 13 Let u = 583 - 492. What is the greatest common divisor of u and 26? 13 Let v = 15 + 22. Let w(x) = x**2 - 17*x + 60. Let z be w(12). Suppose -4*k - 71 + 663 = z. Calculate the highest common divisor of v and k. 37 Suppose -2*y - 5 = -3*y. Let h be (28/y)/((-40)/(-300)). What is the highest common factor of 147 and h? 21 Let x = 41 + 87. Suppose -250 = -20*t + 70. Calculate the greatest common factor of t and x. 16 Suppose -o - o + 22 = 0. Let y be (0 + 23/3)/((-19)/(-57)). Let a = 78 - y. What is the greatest common divisor of o and a? 11 Suppose 13*a - 10*a - 25 = -2*b, 4 = -4*b. Calculate the highest common factor of a and 63. 9 Suppose 3*w + 5*a - 33 = 131, 220 = 5*w - 5*a. Suppose 4*y - y = w. Let i be 3 - (-2)/((-16)/(-360)). Calculate the highest common factor of i and y. 16 Let h be 4 + 60 + 1 - -3. Suppose 0 = 3*w - h + 23. Calculate the highest common factor of 5 and w. 5 Let o(u) = 0 + 3 + 6*u + 7 + 6. Let a be o(0). Calculate the highest common factor of 16 and a. 16 Suppose 5*n - 448 = -4*g, -3*n = 66*g - 70*g + 416. Calculate the highest common divisor of g and 1. 1 Let m(s) = 23*s**2 - s. Let i be m(-1). Let h be (-45 - 27)*1/((-3)/8). Calculate the greatest common factor of h and i. 24 Let x be 1/(13/(-14) + 1). Suppose 0 = j - 0*j + 6. Let n be ((-14)/j)/(2/6). What is the highest common factor of n and x? 7 Let b = 17 - -1. Suppose -17*g + 14*g + 75 = -7*j, g - 30 = 4*j. Calculate the greatest common divisor of g and b. 18 Suppose -j + 45 = -4*q, 7*q - 3*q = -2*j + 30. What is the greatest common factor of j and 2350? 25 Suppose 0 = q - 10 + 1. Let b be (-14 + -10)*(-135)/72. Calculate the highest common factor of q and b. 9 Let q(x) = 45*x + 136. Let k be q(-3). What is the highest common factor of k and 3? 1 Let s = 5 + 13. Calculate the highest common divisor of s and 198. 18 Let v(b) = 9*b**2 - 16*b + 42. Let t be v(4). What is the greatest common factor of 2 and t? 2 Suppose 129 = 5*w - 5*y + 4, 0 = 2*y - 6. Calculate the greatest common factor of w and 378. 14 Let l be (-2)/(8 + 1605/(-200)). Calculate the greatest common divisor of l and 16. 16 Let p be ((-108)/42)/(990/336 - 3). Calculate the greatest common divisor of 384 and p. 48 Suppose -10 = -5*p, 0 = -4*z + 2*p - 5*p + 14. Suppose -z*w - 20 = -58. What is the highest common factor of w and 209? 19 Let f(c) = -28*c + 954. Let y be f(20). Calculate the greatest common divisor of 2 and y. 2 Let c(h) = -21*h - 4. Let v be c(-2). Suppose f - v = 3*f. Let l be (f + (0 - -3))/(-2). What is the greatest common factor of l and 1? 1 Let n be 1*6 + (10 - (-11 + -135)). Calculate the greatest common divisor of 36 and n. 18 Let n be (-14)/12*-3 - 2/4. Suppose 0 = -n*z - 2 + 26. What is the greatest common factor of z and 2? 2 Let b(z) = -15*z - 41. Let x be b(-11). Let g = x - 121. What is the greatest common divisor of g and 24? 3 Let a(j) = j**2 - j. Let w be a(2). Suppose 47 = 5*d + 2*l, l - 14 = -w*d - l. Let g = -85 + 184. Calculate the greatest common factor of d and g. 11 Let t = -16 + 17. Let h = t - -3. Suppose -5*w + h*p = -300, 0 = w - 3*w + 3*p + 120. Calculate the highest common factor of 10 and w. 10 Let d = 121 + -70. Let v(c) = -9*c - 3. Let o be v(-6). What is the greatest common divisor of o and d? 51 Let h(f) = -25*f - 2. Let p be h(3). Let g = p + 133. What is the highest common divisor of g and 8? 8 Suppose 0 = -5*f + 2529 - 209. Calculate the greatest common divisor of f and 16. 16 Let g be (-5 + 20/(-25) - -5)*-20. What is the highest common factor of 352 and g? 16 Let i = 29 + 1. Suppose 3*c + 21 = 2*a, 5*a - 12*c = 2*a + 24. Calculate the greatest common divisor of i and a. 6 Suppose 2*o - 5*q = 1159, 4*q - 1334 = -5*o + 1481. Calculate the highest common divisor of 81 and o. 81 Let b(m) = 14*m**2 - 8*m + 5. Let t be b(2). Calculate the greatest common divisor of t and 54. 9 Suppose 3*p = 16 + 89. What is the greatest common factor of 28 and p? 7 Let n(p) = p + 22. Let u be (-30)/(-4)*(-12 + 10). Let g be n(u). What is the highest common factor of 7 and g? 7 Let s be (289 - (-7 - 1))*1. Calculate the highest common divisor of s and 27. 27 Suppose -2*w = -0*w + 108. Let m = w - -58. Suppose -4*v = 4*h - 12, -2*v - 2*h = -4*h - 10. What is the highest common factor of v and m? 4 Let g = -30 + 145. Calculate the highest common factor of g and 46. 23 Let d(v) = -4*v + 17. Let s(j) = j**3 + 7*j**2 + 14*j + 8. Let w be s(-4). Let f be d(w). What is the greatest common divisor of f and 17? 17 Let k be (15 + (-320)/24)*378/5. Calculate the greatest common divisor of k and 24. 6 Let r be ((-8)/10)/(14/(-35)). Suppose 4*l + 6*v = 2*v + 112, -r*l - v + 54 = 0. Let o = -18 + l. Calculate the greatest common factor of 12 and o. 4 Suppose 3*q = -9, 3*k = -5*q - 0*q - 57. Let c = -5 - k. Calculate the highest common divisor of c and 45. 9 Let q(n) = -n**3 + 30*n**2 - 44*n + 64. Let y be q(28). Calculate the h
{ "pile_set_name": "DM Mathematics" }
*t(i). Let u(n) = -n**2. Calculate s(l) + 2*u(l). -4*l**2 + l + 1 Let b(s) = 2*s**3 - 3*s - 2*s**3 + 2*s**3 - s**3. Let n(l) be the second derivative of -3*l**5/20 + 7*l**3/6 - 27*l - 1. Determine 7*b(x) + 3*n(x). -2*x**3 Let d(l) = -2*l**3 - l**2 + 3*l - 2. Let h be d(1). Let s(q) = q**3 - q**2 + q. Let c(n) = n**3 + n. Determine h*c(a) + 3*s(a). a**3 - 3*a**2 + a Let h(w) = -280*w - 42. Let k(d) = -168*d - 38. Let y(c) = 41*c + 9. Let o(b) = -2*k(b) - 9*y(b). Determine -5*h(z) + 42*o(z). 14*z Let s(t) = -t**2 + t + 1. Let j(h) = -13*h**2 - 24*h - 4. Let p(f) = -j(f) - 3*s(f). Suppose 3*q - 6 = -0*q. Let m(u) = -3*u**2 - 4*u. Give q*p(r) + 11*m(r). -r**2 - 2*r + 2 Let v(h) = -495*h**2 + 40*h - 40. Let j(a) = 38*a**2 - 3*a + 3. Give -40*j(b) - 3*v(b). -35*b**2 Let i(o) = -80*o - 30. Let l(s) = -2*s - 1. Determine i(h) - 30*l(h). -20*h Let s(j) = -j**3 + 3*j**2 + 3*j + 3. Let m = -21 - -18. Let k(d) be the first derivative of d**3/3 + d**2/2 + d - 3. Let q = -5 - -6. Calculate m*k(g) + q*s(g). -g**3 Let d(u) = u**3 + u**2 + u + 1. Let k(m) = -2*m**3 + 5*m**2 + 4*m + 1. Let n(v) = 5*d(v) - k(v). Let y(h) = -13*h**3 - 2*h - 7. What is -7*n(a) - 4*y(a)? 3*a**3 + a Let l(u) = -2*u + 8. Let q(x) be the third derivative of -x**4/8 + 3*x**3/2 - 2*x**2 - 29. Give -6*l(b) + 5*q(b). -3*b - 3 Let x(v) = 885*v**2 - 2*v. Let d(o) = 1774*o**2 - 4*o. What is -6*d(q) + 11*x(q)? -909*q**2 + 2*q Let u(j) = -2*j + 2. Let v(y) = -2*y + 2. Let b be (0 + 2 - 10)*55/(-110). Determine b*v(n) - 3*u(n). -2*n + 2 Let j(b) = -1. Let w(n) = -2*n**3 + n**2 - 63. Determine 6*j(y) + w(y). -2*y**3 + y**2 - 69 Let h = 2 + -42. Let v = -34 - h. Let k(b) = -3*b - 2. Let j(f) = 4*f + 3. Calculate v*k(t) + 5*j(t). 2*t + 3 Let d(l) be the third derivative of -l**6/24 - 7*l**5/30 - l**4/8 + 238*l**2. Let m(y) = -14*y**3 - 42*y**2 - 8*y. Give -8*d(k) + 3*m(k). -2*k**3 - 14*k**2 Let c(b) = -b**3 - b**2. Let v(g) = 2*g**3 + 5*g**2 - 6. Let r(k) = -7*k**3 - 14*k**2 + 16. Let w(p) = -3*r(p) - 8*v(p). Determine 6*c(o) + 3*w(o). 9*o**3 Suppose 4*s - 5*w = 24, 6*s - w - 9 = s. Let l(n) = 14*n + 1. Let h(x) = 1. Calculate s*h(b) - l(b). -14*b Let m(s) = s - 1. Let l(v) = -3*v + 4. Let g be (-288)/(-112) - (18/7 - 2). Calculate g*l(y) + 7*m(y). y + 1 Let j(u) = -6*u + 14. Let l(b) = -6*b + 14. Let v(m) = 3*j(m) - 4*l(m). Let r be (-396)/108*1/((-2)/(-6)). Let h(n) = 2*n - 5. Calculate r*h(y) + 4*v(y). 2*y - 1 Let t(n) = -2*n + 526 + 3*n - 1042 + 518. Suppose 4 + 0 = -2*u + 3*p, -3*p = 2*u - 8. Let l be (-1 - (-2 - -9))/u. Let k(b) = 3*b + 5. What is l*t(o) + 3*k(o)? o - 1 Let i(c) = 5*c**2 - 6*c - 16. Let j(t) = -t**2 + t + 2. What is i(s) + 3*j(s)? 2*s**2 - 3*s - 10 Let t(w) = 10*w**3 - 5*w**2 - 16*w - 13. Let m(b) = 7*b**3 - 4*b**2 - 11*b - 9. Let l(s) = -7*m(s) + 5*t(s). Let p(x) = -x**2 + x + 1. Give -l(j) - 3*p(j). -j**3 - 1 Let p(i) = 60*i - 20. Let j(w) = -40*w + 13. Calculate 8*j(f) + 5*p(f). -20*f + 4 Let t(d) = -d - 4. Let j(g) = -12*g + 6*g + 7*g - 2*g. Determine -2*j(c) - t(c). 3*c + 4 Let m(f) = -628*f**3 + 3*f + 6. Let p(x) = -334720*x**3 + 1600*x + 3200. Calculate 3200*m(b) - 6*p(b). -1280*b**3 Let v(q) = -7*q**2 + 25*q + 6. Let y(o) = -76*o**2 + 276*o + 64. Give 32*v(r) - 3*y(r). 4*r**2 - 28*r Let s(z) = 10*z + 3. Let o(q) be the first derivative of q**5/40 + q**4/24 - 10*q**3/3 - 6. Let v(f) be the third derivative of o(f). Give 2*s(n) - 7*v(n). -n - 1 Let b(g) = 4*g**3 + 4*g**2 + 4*g - 4. Suppose 8*f - 3*f = 20. Let d(r) = 4*r**3 + 3*r**2 + 3*r - 3. Let y be 285/(-75) + (-4)/(-5). Give f*d(z) + y*b(z). 4*z**3 Let i(t) = -1345*t**2 + 4*t + 4. Let o(x) = -5379*x**2 + 18*x + 18. What is -9*i(z) + 2*o(z)? 1347*z**2 Suppose -132*x + 14 = -139*x. Let b(w) = -4*w**3 - 3*w**2 + 2*w - 3. Let v(i) = -17*i**3 - 13*i**2 + 9*i - 13. Calculate x*v(m) + 9*b(m). -2*m**3 - m**2 - 1 Let n(w) = -3*w**3 - w**2. Let r(d) = 4*d**3 - 4*d**2 - d. Determine 5*n(o) + r(o). -11*o**3 - 9*o**2 - o Let u(y) = y**2 - 3*y - 31. Let j(h) = -2*h**2 + 4*h + 32. Give 2*j(f) + 3*u(f). -f**2 - f - 29 Let u(t) = 3*t**2 - 3. Suppose 2*b - 2*f + 4 = 16, -b + 2 = f. Suppose 0*v + 2*d = -3*v - 33, b*v + 44 = 5*d. Let h(x) = 16*x**2 - x - 16. Give v*u(a) + 2*h(a). -a**2 - 2*a + 1 Let h(c) = -12*c**2 - 11*c + 17. Let o(u) = u**2 + u - 2. Let q(k) = h(k) + 6*o(k). Let z(p) = p**2 + p - 1. Give -6*q(y) - 30*z(y). 6*y**2 Let l(c) = c**2. Let f(j) = -6*j**2 - 8*j - 2. Determine f(w) + 4*l(w). -2*w**2 - 8*w - 2 Let n(l) = -4. Let u(a) = 125*a - 1. Determine 2*n(b) - u(b). -125*b - 7 Let d(t) = 6*t**2 + 34*t - 23. Let a(r) = -2*r**2 - 12*r + 8. Calculate -8*a(b) - 3*d(b). -2*b**2 - 6*b + 5 Let x(v) = 3*v - 7. Let g(a) = -4*a + 2. Let f be (-7)/(-28) + (-5)/4. Let k be g(f). Let b(t) = -t + 1. Give k*b(z) + x(z). -3*z - 1 Let y(n) = -2*n - 1. Let a(m) = m + 1. Let d(f) = 4*a(f) + y(f). Let r(z) = 2*z + 3. Calculate 5*d(q) - 4*r(q). 2*q + 3 Let g(t) = -t**3 - 57*t - 3. Let o(b) = -2*b**3 - 113*b - 7. Determine -7*g(q) + 3*o(q). q**3 + 60*q Let g(k) = -2*k - 4. Let u(t) = t + 2. Let h = -86 - -81. Let d(n) = -n**3 - 4*n**2 - 16. Let b be d(h). Determine b*u(q) + 4*g(q). q + 2 Let r(h) = -h**3 + 3*h**2 + 7*h - 12. Let a be r(3). Let b(u) = 12*u**3 - 9*u + 9. Let w(z) = -z**3 + z - 1. Determine a*w(f) + b(f). 3*f**3 Let d = 66 - -48. Let p = -116 + d. Let b(q) = 4*q**2 + 3*q + 3. Let l(s) = 4*s**2 + 2*s + 2. What is p*b(i) + 3*l(i)? 4*i**2 Let y(x) = 9*x**2 - 50*x. Let n(h) = 4*h**2 - 24*h. Give -10*n(g) + 4*y(g). -4*g**2 + 40*g Let t(q) = 9*q**3 - 6*q**2 - 7*q - 4. Let h(v) be the third derivative of -v**6/40 + v**5/30 + v**4/12 + v**3/6 + 191*v**2. Give 7*h(d) + 2*t(d). -3*d**3 + 2*d**2 - 1 Let f(o) = -727*o**2 - 3*o + 3. Let i(q) = -725*q**2 - 4*q + 4. Determine 4*f(k) - 3*i(k). -733*k**2 Let c(k) = 199*k**2 - 20*k. Let x(t) = -21692*t**2 + 2176*t. Determine -544*c(o) - 5*x(o). 204*o**2 Let v(p) = -3*p**3 + p**2 + 2. Let n(s) = -53*s**3 + 6*s**2 - 2*s + 16. What is -n(q) + 6*v(q)? 35*q**3 + 2*q - 4 Let i(q) = -q + 1. Let u(n) = -6*n**2 + 36*n - 36. Suppose -28*j + 1208 = 200. Determine j*i(a) + u(a). -6*a**2 Let n(a) = 13*a**2 + 6*a. Suppose -118 = 26*p + 168. Let w(f) = 25*f**2 + 11*f. Calculate p*n(o) + 6*w(o). 7*o**2 Let w(x) = x**2 - 2*x + 2. Suppose 4*f = -c + 16, 3*c - 4 - 29 = 3*f. Let n be (-8 + -1)*c/18. Let a(v) = 8*v**2 - 17*v + 17. What is n*a(m) + 51*w(m)? 3*m**2 Let o(p) = 17*p**3 + 4*p**2 - 6. Let n(t) = t**3 + t**2 - t + 3. Let z(s) = -5*s**2 + 6*s - 20. Let j(i) = -6*n(i) - z(i). Determine -8*j(h) - 3*o(h). -3*h**3 - 4*h**2 + 2 Let c(j) = -24*j + 3. Let v(d) = -10*d + 1. Calculate 2*c(x) - 4*v(x). -8*x + 2 Let m(i) = -272*i + 27. Let q(x) = -1360*x + 147. Calculate 11*m(f) - 2*q(f). -272*f + 3 Let j(p) = 4*p**3 - p**2 - 2*p - 38. Let c(f) = -f**3 + 3*f**2 + f - 1. What is -2*c(q) - j(q)? -2*q**3 - 5*q**2 + 40 Let f(w) = 11*w + 3. Let j(m) = 10*m + 1. Give 4*f(o) - 3*j(o). 14*o + 9 Let d(l) = 3*l - 1. Let u(h) = 13*h - 12. Let v(z) = -z + 1. Let n(m) = -2*u(m) - 22*v(m). Let i be (-16)/(-1)*(-2)/(-4). Calculate i*d(s) + 5*n(s). 4*s + 2 Let x(h) = 18*h. Let k(l) = 6*l. Let v(n) be the second derivative of -n**5/20 - n**4 + 13*n**3/6 - 3*n**2/2 - 34*n. Let q be v(-13). Give q*x(c) + 8*k(c). -6*c Let n(w) = -4*w**3 + 13*w**2 - 7. Let s(u) = 2*u**3 - 6*u**2 + 3. Suppose -4*v = -8, 13 = -5*k - 5*v + 3. What is k*n(q) - 9*s(q)? -2*q**3 + 2*q**2 + 1 Suppose 5*g - 5 = 5*j - 10*j, 4*j - 49 = 5*g. Let h(a) = -a**2 - a. Let w(m) = -5*m**2 + 6*m - 2. Calculate j*h(p) + w(p). -11*p**2 - 2 Suppose y + 5*s = -3, -5 + 6 = 3*y + 5*s. Let l(v) = 3*v**3 - v**2 + 2*v. Let a(d) = 10*d**3 - 4*d**2 + 7*d - 1. What is y*a(t) - 7*l(t)? -t**3 - t**2 - 2 Let j(d) be the first derivative of -d**3/3 + d - 25. Let z(i) = 2*i**2 - 6*i - 1. Determine j(o) + z(o). o**2 - 6*o Let i(x) = x. Let o(q) = 2*q + 24*q**2 - 23*q**2 - 9*q. Calculate -6*i(u) - o(u). -u**2 + u Let t(v) = -3*v**3 - 4*v**2 + 3*v + 1. Let y(d) = 2*d**3 + 3*d**2 - 2*d - 1. Calculate 3*t(n) + 4*y(n). -n**3 + n - 1 Let d(u) = 8*u - 5. Let g(x) = -11*x + 8. Let l(s) = -32*s + 23. Let n be (3 - -2)/10*-22. Let w(m) = n*g(m) + 4*l(m). Determine -6*d(j) - 7*w(j). j + 2 Let h(k) = 4*k**2 + 24 - 2*k**2 - k - k**2 + 9 - 34. Let o(t) = t**3 - 6*t**2 + 7*t + 8. Calculate 6*h(b) + o(
{ "pile_set_name": "DM Mathematics" }
-1, 0, 1, 5 Let w(h) = -h - 8. Let v be w(-10). Suppose -9*x**3 + 5*x**4 + v*x**2 + 7*x**2 - 3*x - 2*x**4 = 0. What is x? 0, 1 Let y(q) be the third derivative of 0 - 1/150*q**5 - 4*q**2 - 1/20*q**4 + 0*q - 2/15*q**3. Suppose y(x) = 0. Calculate x. -2, -1 Let g = 38 - 32. Let s = 32/5 - g. Suppose 0 - 2/5*w**5 + 0*w - 2/5*w**2 + 2/5*w**3 + s*w**4 = 0. Calculate w. -1, 0, 1 Let m(n) be the third derivative of 1/90*n**5 - n**2 - 1/9*n**3 + 0*n + 0*n**4 + 0. Factor m(b). 2*(b - 1)*(b + 1)/3 Let d(b) be the first derivative of -1/900*b**6 + b**3 + 0*b - 1/30*b**4 + 1/100*b**5 + 1 + 0*b**2. Let y(a) be the third derivative of d(a). Factor y(v). -2*(v - 2)*(v - 1)/5 Determine b, given that 10/7*b + 2/7*b**3 - 8/7*b**2 - 4/7 = 0. 1, 2 Let k(v) = v**2 - 15*v - 18. Let o(t) = 2*t**2 - 16*t - 18. Let n(f) = 4*k(f) - 3*o(f). Solve n(d) = 0 for d. -3 Solve -2*p**2 - 8 + 8 = 0. 0 Let q(y) = -2*y**4 - 12*y**2 + 4*y + 6. Let x be 16/3 - 2/6. Let h(d) = 2*d**4 + d**3 + 11*d**2 - 3*d - 5. Let r(a) = x*q(a) + 6*h(a). Factor r(w). 2*w*(w + 1)**3 Suppose 0*f + 3/7*f**5 + 0*f**4 - 3/7*f**3 + 0 + 0*f**2 = 0. Calculate f. -1, 0, 1 Let z(h) be the first derivative of -2*h**3/9 + 2*h**2 - 6*h - 12. Factor z(t). -2*(t - 3)**2/3 Let l = -8 - 0. Let c be 8/(-30)*20/l. Factor -c - 1/3*k - 1/3*k**4 + 1/3*k**3 + k**2. -(k - 2)*(k - 1)*(k + 1)**2/3 Factor -4/9*l**4 + 0*l**3 - 2/9*l + 4/9*l**2 + 2/9*l**5 + 0. 2*l*(l - 1)**3*(l + 1)/9 Let b = -293/4 + 243/4. Let p = -12 - b. Let 1/2*q**5 + 0 - q**2 + 0*q**3 - p*q + q**4 = 0. What is q? -1, 0, 1 Let u(f) be the second derivative of 3*f - 24*f**3 + 48/7*f**2 + 261/35*f**6 + 0 - 81/98*f**7 + 276/7*f**4 - 894/35*f**5. Let u(x) = 0. Calculate x. 2/9, 2 Factor -12*j**2 - j**2 + 5*j**4 - 7*j**2. 5*j**2*(j - 2)*(j + 2) Let d(x) = -x**2 - 7*x - 8. Suppose -11 = -a - 4*i, 4*a + 4 = i - 5*i. Let s be d(a). Find t such that 1/2*t**s + 0 - 1/2*t = 0. 0, 1 Let y be 15*2/6*1. Suppose y*n - 9 = 1. Suppose r - 1/4*r**n - 1 = 0. What is r? 2 Suppose -4 = -0*l - l, 4*v = 5*l - 20. Suppose 0 = -3*s + 12 - v. Determine u so that -1/3*u**s + 0*u**2 + 0 - 1/3*u**3 + 0*u = 0. -1, 0 Suppose 5*v = -3*x + 21 + 6, -10 = -x - 2*v. Factor -4*z**2 - 12*z**x + 6*z**4 + 2*z**2 + 5*z**3 - 11*z**3 - 2*z**5. -2*z**2*(z + 1)**3 Let a(i) be the second derivative of -5*i**4/18 - 5*i**3/18 - 16*i. Factor a(x). -5*x*(2*x + 1)/3 Let i(m) = -7*m**2 + m. Let o(g) = 6*g**2 - g. Let l(k) = 5*i(k) + 6*o(k). Let p(u) = -5*u**2 + 8*u - 4. Let h(c) = -4*l(c) - p(c). Solve h(d) = 0 for d. 2 Let -95*j**2 - 5*j**4 + 35*j**2 + 20*j**3 + 40*j**2 = 0. Calculate j. 0, 2 Let g(x) be the third derivative of x**7/280 - 3*x**6/80 + 13*x**5/80 - 3*x**4/8 + x**3/2 + 32*x**2. What is k in g(k) = 0? 1, 2 Let a = -186/13 + 662/39. Factor -2*m + 0 + a*m**2 - 2/3*m**3. -2*m*(m - 3)*(m - 1)/3 Let k(q) be the second derivative of 0 + 1/3*q**4 - 1/2*q**3 - 1/2*q**2 - 3*q. Determine f, given that k(f) = 0. -1/4, 1 Suppose 0 = 3*d - 2*b - 12, b + 1 = 2*d - 3*d. Factor -v + v**d + 2*v + 0*v**2. v*(v + 1) Let v be 1/((-22)/14) - -1. Let w(s) = -s**3 + 12*s**2 - 18*s - 18. Let t be w(10). Determine r, given that -2/11*r**4 - 4/11*r**3 + 0*r**t + v*r + 2/11 = 0. -1, 1 Let k(y) be the first derivative of -2*y**3/15 - y**2 - 8*y/5 + 20. Factor k(q). -2*(q + 1)*(q + 4)/5 Let 0 - 2*f**4 + 4/3*f - 8/3*f**3 + 10/3*f**2 = 0. Calculate f. -2, -1/3, 0, 1 Let a = -16 + 20. Let l be -4 - -2*(a + 0). Factor 1/3*w**l - 4/3*w - 5/3*w**3 + 8/3*w**2 + 0. w*(w - 2)**2*(w - 1)/3 Let o(n) be the second derivative of -n**9/30240 - n**8/6720 - n**7/5040 - n**4/12 - 3*n. Let p(v) be the third derivative of o(v). Factor p(s). -s**2*(s + 1)**2/2 Let p(x) be the second derivative of 0*x**2 - 1/2*x**3 + 0*x**4 - 1/180*x**5 + 0 - 2*x + 1/1080*x**6. Let h(j) be the second derivative of p(j). Solve h(q) = 0. 0, 2 Let p(i) = i**2 - 2*i + 3. Let h be p(2). Suppose -4*z**3 + 12*z + 12*z**h + 3 + 4*z - 30*z**2 + 3 = 0. What is z? -1/4, 1, 3 Let z(u) = -u**3 + 6*u**2 + 30*u - 19. Let x be z(9). Solve 194/9*d**2 + 8/9 - 16*d**3 - x*d + 32/9*d**4 = 0 for d. 1/4, 2 Solve 5/2*r**2 - 2*r**3 - 3/2*r**4 + 0 + r = 0 for r. -2, -1/3, 0, 1 Let k(h) be the first derivative of -h**4/12 + 2*h**3/3 - 3*h**2/2 - 9. What is c in k(c) = 0? 0, 3 Factor 0*a + 9/2*a**3 + 0 + 0*a**2 - 3/2*a**4. -3*a**3*(a - 3)/2 Let o(f) be the third derivative of 0 - 1/80*f**5 + 0*f - 1/32*f**4 - 1/24*f**3 - 7*f**2 - 1/480*f**6. Factor o(x). -(x + 1)**3/4 Let -2/3 + 2/3*a**2 - 2/9*a**3 + 2/9*a = 0. Calculate a. -1, 1, 3 Let z(j) be the second derivative of 0*j**3 + 1/6*j**4 - j**2 + 0 - j. Factor z(v). 2*(v - 1)*(v + 1) Let h(f) be the second derivative of -f**5/100 + 9*f. Solve h(d) = 0. 0 Let p(t) be the second derivative of 1/12*t**4 + 1/2*t**2 + 1/3*t**3 + 0 + 1/120*t**5 + 2*t. Let s(g) be the first derivative of p(g). Solve s(j) = 0 for j. -2 Let i(o) = -31*o**3 + 20*o**2 + 69*o - 91. Let w(h) = -6*h**3 + 4*h**2 + 14*h - 18. Let x(a) = 2*i(a) - 11*w(a). Factor x(n). 4*(n - 2)*(n - 1)*(n + 2) Let s(v) be the second derivative of -v**6/285 - 3*v**5/190 - v**4/114 + v**3/19 + 2*v**2/19 - 33*v. Suppose s(p) = 0. Calculate p. -2, -1, 1 Let u(o) be the second derivative of -o**7/42 + 2*o**6/45 + o**5/30 - o**4/9 + o**3/18 - 4*o. Let u(w) = 0. What is w? -1, 0, 1/3, 1 Let o = 56/45 - 2/45. Factor 9/5 + 3*m + o*m**2. 3*(m + 1)*(2*m + 3)/5 Let k(c) = c. Let a be k(3). Suppose m**3 - 4*m**4 + 0*m**4 + a*m**4 = 0. Calculate m. 0, 1 Suppose -4*m = -12 + 4, 2*w + 5*m = 10. Suppose -1/2*i**2 + w + i = 0. Calculate i. 0, 2 Let f be 306/18*(-4)/(-34). Let -5/3*o**4 + 0*o + 0 + 2/3*o**f + o**3 = 0. What is o? -2/5, 0, 1 Factor -1 + 53*s**2 - 83*s**2 + 34*s**3 + 18*s - 7 - 90*s. 2*(s - 2)*(s + 1)*(17*s + 2) Factor 45*a - 20*a**2 - 25*a - 25*a**3 + 16*a**4 - a**4. 5*a*(a - 2)*(a + 1)*(3*a - 2) Let y(t) be the first derivative of 6 + 4/3*t**3 - 4/5*t**2 - 12/5*t. Factor y(g). 4*(g - 1)*(5*g + 3)/5 Let p(i) be the first derivative of -3*i**4/22 - 4*i**3/33 + 3*i**2/11 + 4*i/11 - 25. Determine m so that p(m) = 0. -1, -2/3, 1 Let t = 1/66 + 127/330. Let f = -510 + 512. Factor -t*a**3 - 6/5*a**f + 0*a + 8/5. -2*(a - 1)*(a + 2)**2/5 Factor -33*k + 0 + 39*k - 3 - 3*k**2. -3*(k - 1)**2 Let u(o) be the third derivative of -o**5/120 - o**4/48 + 13*o**2. Factor u(f). -f*(f + 1)/2 Suppose -16*x = -14*x - 4. Let w(s) be the second derivative of 0*s**6 - 1/21*s**7 + 2*s + 0*s**3 + 0*s**4 + 0*s**x + 0*s**5 + 0. Let w(v) = 0. What is v? 0 Determine i, given that 1/4*i**3 - 1/2*i**2 - 3/4*i + 0 = 0. -1, 0, 3 Let s be (-27)/18 - (-7)/2. Factor -2*k**4 + k**2 - 2*k**s + 6*k**2 - 3*k**2 + 2*k - 2*k**3. -2*k*(k - 1)*(k + 1)**2 Let q be (-3)/(-4)*4 - 0. Let y(x) be the second derivative of 1/10*x**5 + x**2 + 1/2*x**4 + 2*x + x**q + 0. Factor y(f). 2*(f + 1)**3 Suppose 2 - 2/3*p**3 - 14/3*p + 10/3*p**2 = 0. What is p? 1, 3 Let o(l) be the second derivative of -l**5/80 - l**4/24 + l**3/24 + l**2/4 + 16*l. Factor o(x). -(x - 1)*(x + 1)*(x + 2)/4 Factor 1/2*g**2 + 0*g - 1/2. (g - 1)*(g + 1)/2 Let a(y) = -4*y + 1. Let h be a(-2). Solve -t**5 - 2*t**3 - 9*t + h*t + 3*t**5 = 0 for t. -1, 0, 1 Determine z so that 4*z - 4*z**4 + 0*z - 4*z**3 + 0*z**4 + 4*z**2 = 0. -1, 0, 1 Suppose 6*d - o = -3*o + 18, 0 = 5*d - 2*o - 4. What is u in -1/3*u**3 + 0*u**d - 1/6*u**4 + 0 + 0*u = 0? -2, 0 Let c(p) be the second derivative of -p**7/840 - p**6/120 - p**5/40 - p**4/24 + p**3/3 - 3*p. Let v(n) be the second derivative of c(n). Factor v(q). -(q + 1)**3 Let p = -1/108 + 661/1404. Factor p*r - 2/13*r**3 - 4/13 + 0*r**2. -2*(r - 1)**2*(r + 2)/13 Let p = 132 + -3959/30. Let n(y) be the third derivative of -2*y**2 - 1/12*y**4 + 1/12*y**5 + 0*y**3 + 0 + 1/210*y**7 - p*y**6 + 0*y. Factor n(f). f*(f - 2)*(f - 1)**2 Let c be 16/6*(-72)/(-42) + -4. What is u in 2*u + c + 10/7*u**2 = 0? -1, -2/5 Let x = -10 + 13. Factor -3*m**x - 3*m**2 + 3*m + 24 + 0*m**3 - 21. -3*(m - 1)*(m + 1)**2 Let t(b) be the third derivative of -b**8/10080 - b**7/630 - b**6/120 + b**5/12 - b**2. Let p(o) be the third derivative of t(o). Factor p(k). -2*(k + 1)*(k + 3) Let h(l) be the third derivative of 0*l**5 + 0*l**4 + 0*l**3 + 1/180*l**6 + 4*l**2 + 0 + 0*l. Let h(z) = 0. Calculate z. 0 Suppose 0 = -l - 5*j - 21, -6*l = -3*l + 2*j - 2. Suppose 18 = -0*f +
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) -2 (b) 1/3 (c) y c Let l be (1 - 0) + 28/(-21). Let t = 10 + -15. Let p = 5 + t. What is the second smallest value in -2/17, p, l? -2/17 Suppose -18 = 5*u - 4*z + 6, 13 = -4*u - 3*z. Let v be (-2)/(-12) + u/(-3). What is the second biggest value in 3, -0.2, v? v Let y = 8 + -7.8. Let b = y + -1.2. What is the smallest value in b, -4, 4? -4 Suppose 5*v + 16 = 3*v. Let x(m) = -m - 6. Let p be x(v). Let y = 50 + -201/4. Which is the third smallest value? (a) -3 (b) p (c) y b Let s = -0.15 - 2.85. What is the third smallest value in s, 0.3, -4? 0.3 Let h be (-18)/8 + 6/24. Let p be (h + 10/4)*8. Suppose 3*t - 5 = p*t. What is the third biggest value in t, 1/4, -1? t Let t = -0.24 - -0.54. What is the third biggest value in -0.5, 5, t, 2/13? 2/13 Let t = -0.17 + 4.17. Which is the smallest value? (a) 0.3 (b) t (c) 3 a Let q = -23/3 - -8. Which is the smallest value? (a) -3 (b) 0 (c) q a Let q be ((-65)/(-4))/(4/16). Let s = 263/4 - q. What is the second biggest value in 0, s, -2/13? 0 Let g = -65 - -63. Which is the second biggest value? (a) g (b) 1 (c) -6/13 c Let x be 1/(-2)*(-12)/(-51). Let n be 2/(-3) + 22/42. What is the third smallest value in x, 0.4, n? 0.4 Let v = -2.939 - 0.061. Let q = 1856/9 + -206. What is the second smallest value in v, 0.2, q? 0.2 Let x = 5.2 - 5. Let a = -277/3 + 93. What is the second smallest value in x, 7, a? a Let n = -0.14 - -0.24. Suppose -3*v + 8 = 2*j - 13, 3*v = -j + 12. What is the third biggest value in j, n, -3? -3 Let d = 1.2 + -2.4. Let r = -1.2 - d. What is the smallest value in -5, r, -3? -5 Let w = -0.8 + 1.1. Let y = 3.933 - -0.067. What is the biggest value in 5, w, y? 5 Let u = -0.01 - -0.21. Let q(m) be the first derivative of m**2/2 - 8*m + 1. Let z be q(7). Which is the third biggest value? (a) z (b) u (c) -2/7 a Let j be (3/(-6) - -2) + -1. What is the biggest value in 0.3, j, 1/8? j Let p be (4/(-3))/((-10)/60). Suppose 3*r + 2*d = -15 - p, 5*d + 20 = 0. Which is the third smallest value? (a) r (b) -1/2 (c) -2 b Let c = 0.2 - 1.2. Let t = 0.3 + 0.1. What is the second smallest value in t, -0.4, c? -0.4 Let n = 3 + -2.6. Let p = n - 0.2. Let g = 0.1 + p. Which is the biggest value? (a) 0.4 (b) g (c) 0.1 a Let c = 1 + 1. Let u = 0.4 - 0.4. Let h = u - c. What is the third biggest value in h, 3, -1/2? h Let g = -25 - 85. Let l be -1*1 - g/90. Which is the third biggest value? (a) l (b) -1/3 (c) 0.1 b Let r(t) = t**2 - t - 1. Let x = 0 - 1. Let u be r(x). Suppose 3*n - 17 = -l, 3*l - 4*n = -9*n + 31. Which is the second biggest value? (a) u (b) 2/23 (c) l a Suppose -3*i = 29 - 38. What is the second smallest value in i, -9, -0.4, 0? -0.4 Let s = 8/3 - 37/15. Which is the second smallest value? (a) -0.2 (b) -2 (c) s a Let a = -4/3 - -23/15. Let d = -4.96 + -0.04. What is the second smallest value in d, -1, a? -1 Let x = -23 - -87/4. Which is the biggest value? (a) 0 (b) x (c) -2 a Let s be (-12)/(-8)*-1 - (-6)/(-4). Let k = -17/30 - -9/10. What is the second biggest value in 0.3, s, k? 0.3 Let w = -11.9 - -10.9. Let q = 457/77 - 70/11. Let f be 1 - (58/18 - 2). What is the second smallest value in f, w, q? q Let t be 8/(-10)*(-10)/4. Let p be (1/(-2))/(t/(-4)). Let h be (4 - 4) + 4/10. What is the third biggest value in h, p, -1? -1 Let t be (-4)/(-14) + 62/(-70). Let f be 3*(7/(-6))/7. Which is the second biggest value? (a) -1 (b) f (c) t c Let p = -53/2 + 26. What is the biggest value in p, 1/2, 1? 1 Let i = -17 - -17.5. Which is the smallest value? (a) -3 (b) -2 (c) i a Let j = 0.1 + -0.1. Let w = -0.4 - 0. Let o = -5837/15 - -389. Which is the second biggest value? (a) w (b) o (c) j b Let x(p) = -29*p + 5. Let v be x(5). Let y be 42/v + (-2)/(-5). What is the third biggest value in 1/6, y, -4? -4 Let b = -0.081 - -4.081. What is the second smallest value in 0, b, -1, -10? -1 Let c = 45.9 - 49. Let u = c + 0.1. What is the biggest value in 0.3, u, -4? 0.3 Let g = 3 + -5. Let z = g - -2. Let y = -7 - -10. Which is the biggest value? (a) y (b) -2 (c) z a Let r = -53 + 54. What is the fourth biggest value in r, -1/2, -3/8, -0.2? -1/2 Let g = 352.2 + -423.15. Let r = g + 73. Let z = 0.05 - r. Which is the smallest value? (a) z (b) -0.1 (c) 2/17 a Let o = 0.9 - -0.1. Let g be ((-1)/14)/((-42)/24 - -2). Which is the third biggest value? (a) o (b) -1/3 (c) g b Let t be 5/(-4) - (-9)/(-24)*2. Which is the third smallest value? (a) t (b) -3 (c) 0.1 (d) 34 c Let a(d) = -2*d**3 - 17*d**2 - 5*d + 20. Let q be a(-8). Let g = -39/148 + 1/74. What is the third biggest value in q, g, -2/7? q Let v(l) = -l**3 - 5*l**2 + 6*l - 1. Let z be v(-6). Let k be (z/11)/(2/4). Let f be (54/243)/((2/(-2))/1). What is the smallest value in 0, f, k? f Let z = 14.3 - 15. What is the smallest value in z, 0, -2/15? z Let y = -5 + 11. Let r = 6.01 - y. Let k = r - -0.49. Which is the second biggest value? (a) k (b) 2/5 (c) -1 b Let b = -3.3 - -3. Let a = -1.5 - 0.5. What is the second biggest value in a, -3/4, b? -3/4 Let a = 29 + -26. What is the smallest value in 6/7, a, 0.2, -5? -5 Let m = -41 + 44. What is the second biggest value in 2/9, -0.26, m, 0.1? 2/9 Let f = -16 - -15. Which is the biggest value? (a) f (b) 4 (c) -5/3 b Let k be 10/(-20)*(-142)/(-3). Let p = k + 23. Which is the biggest value? (a) p (b) -1 (c) 2/9 c Let g = 0.5 + 0. Let h = 4.3 + -4.3. What is the smallest value in g, h, 0.2? h Let w(q) = q**2 - q. Let l be w(-1). Suppose 3*h = -l*o + 4*h, -5*h + 26 = 3*o. Which is the third biggest value? (a) 0 (b) o (c) 4 a Let l = 16 + -26. Let n = l + 6. Let w be n*(3 - 0)/(-3). Which is the third smallest value? (a) -2 (b) -3/2 (c) w c Let v = -0.06 + 0.36. Which is the third smallest value? (a) -4 (b) v (c) 2/29 b Let s be (145/(-20) - -3) + 4. What is the second biggest value in s, -1/5, -3? s Let y = 0.35 - 0.05. Let m = -11/6 - -10/3. Which is the smallest value? (a) m (b) y (c) 2/9 c Let f = 51 - 46.2. Let c = f + -5. What is the second smallest value in -4, 3, c? c Suppose 5*l - 2*l = 3. Let b be (-3 - 114/(-21)) + -2. Let u = b - -1/14. What is the third biggest value in l, u, 0.2? 0.2 Let h = 13 - 13.2. What is the third smallest value in h, 1, 0? 1 Let l = 2.8 - 3. Let i = l - 1.8. Let t = i - -1.5. Which is the biggest value? (a) 3 (b) t (c) -2/7 a Suppose 8 = 2*o + 2*o. Suppose o*m + 3 + 1 = 0. Let l be (2 - 2) + (-2)/17. Which is the third biggest value? (a) l (b) 0.1 (c) m c Let x(g) = 2*g + 7. Let k be x(-4). Which is the third biggest value? (a) 0 (b) k (c) -0.5 b Let a = -11 - -18. Let d = -13 + a. Let v be 22/d - (-4)/2. What is the third smallest value in 2/3, v, -2? 2/3 Let r be (2/(-4))/1 + 0. Let v be ((-2)/40)/((-1)/4). What is the second smallest value in v, r, -0.1? -0.1 Let m = -30 + 30.2. What is the third smallest value in m, -0.4, -3? m Let v(h) = -h**3 + 9*h**2 + 4. Let s be v(9). Which is the third biggest value? (a) -2/7 (b) -2/11 (c) s a Let j = 4.13 + -0.13. Let m = j - 7. Which is the smallest value? (a) m (b) 4 (c) 1 a Let x = -3 + 3.3. Let h = 0 - x. Let w = -0.2 - h. Which is the biggest value? (a) -1 (b) 0 (c) w c Let r = -0.8 - -0.82. Let x = -0.42 + r. Which is the third biggest value? (a) x (b) -4 (c) -2 b Let w be 2/(-9) - (-451)/(-198). What is the second smallest value in -4/7, -1, -1/3, w? -1 Let n = -6616307/78 + 84823. Let t = -8/13 - n. Which is the third biggest value? (a) -5 (b) 0.5 (c) t a Let k = -5 + 5. Let m = -0.6 + k. Let l = m - -0.7. Which is the biggest value? (a) 1 (b) -1/4 (c) l a Suppose -i - 4*i = -15. Let j be i + (-129)/(-45)*-1. What is the second biggest value in j, -5, 2/7? j Let u = 85/261 - 3/29. Let q = 16 + -23. Let w = q + 11. Which is the biggest value? (a) -5 (b) w (c) u b Let a = 87 - 92. What is the fourth biggest value in -3, -2, a, -25? -25 Let d = 3.49 - -0.51. Which is the third smallest value? (a) d (b) -11 (c) -4 a Let p = -0.5 + 4.5. Let q = -106/3 + 35. What is the second smallest value in p, -5, q? q Let s = 0.87 + -0.77. Which is the smallest value? (a) 2/15 (b) -1 (c) s (d) 0.2 b Let l = -8 - -23/3. What is the second smallest value in -3, -0.2, l? l Let w = 6 - -2. Suppose 0 = -v - v - w.
{ "pile_set_name": "DM Mathematics" }
e -2*d + 38115 = 6*d - 949. What are the prime factors of d? 19, 257 Suppose 3*x = -x - 200. Let u = -48 - x. Suppose -9*a + u*a = -546. List the prime factors of a. 2, 3, 13 Let l = -76 - -143. Let y = 1022 + -1064. Let t = y + l. List the prime factors of t. 5 Suppose 0 = 4*q - u - 37, -q = -11*u - 106 + 43. Let h = 34 + -10. List the prime factors of h/q - (-72 + 1). 2, 37 Suppose 3*t - 4*k = 10, -3 = k - 5. What are the prime factors of (-11 - 176445/(-105)) + t/(-14)? 1669 Let p = 3 - -22. Suppose -h + 232 = -5*l, -4*l + 3*h - 53 = 137. Let z = p - l. What are the prime factors of z? 71 Let q(r) = 475*r**2 - 13*r + 20. Let u be q(2). Suppose -u = -11*z + 856. List the prime factors of z. 2, 5 Suppose v = 20*d - 15*d + 1575, -d = 3*v - 4677. What are the prime factors of v? 2, 3, 5, 13 Suppose 5*q - 258670 = -5*n, 47*n + 10 = 49*n. What are the prime factors of q? 3, 43, 401 Let n(m) = -m**2 + 16*m - 25. Let c be n(14). Suppose 3 = 3*f - 3*x, c*x = -f + 2*x + 7. Let s(q) = 4*q**2 + 3*q + 4. What are the prime factors of s(f)? 2, 5 Suppose 6*o = 2*o - 3*o + 60256. List the prime factors of o. 2, 269 Let y(k) = -k**3 - 9*k**2 - 9*k + 6. Let z be y(-8). Let v = 63 - 63. Suppose v = z*x - 11*x - 201. What are the prime factors of x? 67 Let q be -55 + 911 + (4/1 - 2). Let d = q + -346. List the prime factors of d. 2 Suppose 5*h - 4*l = 9778, 20*l - 19*l + 9772 = 5*h. What are the prime factors of h? 2, 977 List the prime factors of (-3699080)/(-4760) + (-4)/34. 3, 7, 37 Let l be 8/(-12 + 4) - (-1 + 9). Let x(y) = 12*y**2 - 25*y - 123. What are the prime factors of x(l)? 2, 3, 179 Let p = 4 + -67. Let c = p + 67. List the prime factors of 50/c*(-40)/(-10). 2, 5 Let m = 4962 + -3372. Let s = -910 + m. What are the prime factors of s? 2, 5, 17 Suppose 0 = 2103*a - 2118*a + 164685. What are the prime factors of a? 10979 Let k be (-44)/(4/(-1)) + -2. Suppose -6*g - 2652 = -k*g. Suppose -10*c + 2354 = g. List the prime factors of c. 3, 7 What are the prime factors of (-101 + 91)/(-1 - (-17784)/17787)? 2, 5, 7, 11 Let t(g) = -97*g - 61. Let n be t(5). Let w = -410 - n. What are the prime factors of w? 2, 17 Let z = -64 - -159. Suppose -z*v = -88*v - 9226. What are the prime factors of v? 2, 659 Suppose -2682 + 10095 = 7*w. Let g = -266 + w. List the prime factors of g. 13, 61 What are the prime factors of (-1662*3/8)/((-219)/1168)? 2, 3, 277 Suppose 0 = -163*q + 182*q - 32224. What are the prime factors of q? 2, 53 Let v be (-1 + 8)*(-1 + 2). List the prime factors of 252 + v + -4 + 7. 2, 131 Let u = 46 - 47. What are the prime factors of -6 - (6 + 541)/u? 541 Let a(w) = w**3 - 12*w - 3. Let m be a(-4). Let z = m + 39. List the prime factors of z. 2, 5 Let n = -414 + 506. Let r(j) = 194*j**3 + 2*j**2 - 1. Let g be r(1). Let i = g - n. What are the prime factors of i? 103 Let c = -25767 + 40285. What are the prime factors of c? 2, 7, 17, 61 Let j(k) = -18*k - 24. Let g be j(-2). Suppose -3*z = -g, 3*z = -3*b + z + 614. List the prime factors of b. 2, 101 Suppose -36 = -2*o + 3*j, 3*o + o - 72 = 4*j. Let k be 6/(-2)*(-24)/o. What are the prime factors of -3 + 1 + -1 + 312/k? 3, 5 Let p be (-32360)/(-12) - (-4)/(-36)*-3. Suppose 3*k = -z + 2697, k - 3*z - p = -2*k. List the prime factors of k. 29, 31 Suppose 0 = 2*h - 3*h, -4*z + 4*h + 16 = 0. Let r(n) = 2*n**3 - n**2 - 11*n + 38. What are the prime factors of r(z)? 2, 53 Let i = 308 + -441. Let f = 129 + i. What are the prime factors of (-22)/f*(-4 + 52)? 2, 3, 11 Let y(d) = 336*d**2 + 142*d - 64. List the prime factors of y(-7). 2, 7703 Suppose -86*g + 57*g = -85028. List the prime factors of g. 2, 733 Suppose -11*i + 123856 = -133478 - 241824. List the prime factors of i. 2, 3, 2521 Suppose -2*f - 1084 = 19324. What are the prime factors of f/(-40) - 6/60? 3, 5, 17 Let r(x) = -23252*x - 1890. List the prime factors of r(-3). 2, 3, 11311 Let h be (-13643)/14*-2 + 7. Let p = -992 + h. What are the prime factors of p? 2, 241 Let t = 2906 + 2222. What are the prime factors of t? 2, 641 Suppose -88185 - 5375 - 27176 = -16*z. What are the prime factors of z? 2, 7, 11 Suppose -d - 5*r = -3*r - 485, 1975 = 4*d + r. Suppose -3*l = -5*x - d, 3*l + 4*x - 513 = 3*x. What are the prime factors of l? 2, 5, 17 Suppose 2*s = -5*c + 20, c + c - 29 = -5*s. List the prime factors of 18654/38 + -16*s/(-760). 491 Suppose 0 = -5*b - 2*x - 2, 2 = -b - 6*x + 4*x. What are the prime factors of 4/(-6)*(b + 4572/(-8))? 3, 127 Let y be 1 - (0/2)/5. Suppose b = y, -3*b + b = 5*d - 1157. List the prime factors of d. 3, 7, 11 Suppose 3*n - 3*j = 50268, 116*j - 115*j = -n + 16770. List the prime factors of n. 16763 Let c = -301 - -411. What are the prime factors of 81554/c + 4/(-10)? 3, 13, 19 Suppose 5*z - 2*z - 3*j = 12, -4*z + j = -13. Suppose -3*h - 1185 = -z*c, c + h - 395 = -0*c. List the prime factors of c. 5, 79 Let r(k) = 32*k + 119. Suppose -24 = 6*v - 222. What are the prime factors of r(v)? 5, 47 Let s = 1827 + -1207. Suppose 2*w = s + 886. What are the prime factors of w? 3, 251 Suppose x - 11 + 18 = 0. Let u(y) = 13*y**2 + 39*y + 7. What are the prime factors of u(x)? 7, 53 Let i be (-20841)/(-12) - 7/(-28). Suppose -21*t + i = -18*t. What are the prime factors of t? 3, 193 Suppose -4*t - 5*o + 30270 = -7*o - 12178, 0 = 4*o. List the prime factors of t. 2, 7, 379 Let f(i) = 17*i**3 + 6*i**2 - 8*i + 2. Let k be f(2). Let s = k + 429. List the prime factors of s. 5, 23 Suppose 0 = j + 22*j - 67342 - 130067. List the prime factors of j. 3, 2861 Let s = -106 - -100. What are the prime factors of (-3*s/15)/((-8)/(-660))? 3, 11 Let o = 169 + 7215. What are the prime factors of o? 2, 13, 71 Suppose 27*r = 25*r - 786. Let j = r + 450. List the prime factors of j. 3, 19 Suppose 2*z - 2*j - 22 = 0, 4*j = 3*z + 7*j - 45. Suppose z*o - 52 - 169 = 0. Suppose 53 = o*x - 15. List the prime factors of x. 2 Let j(p) = p - 1. Let b(c) = 3*c - 4 + 2*c + c + 3*c. Let y(g) = -b(g) + 2*j(g). List the prime factors of y(-13). 3, 31 Let q(t) = -33810*t + 981. List the prime factors of q(-1). 3, 11597 Let a(k) = -48*k**3 + k**2 - 432*k - 2172. What are the prime factors of a(-5)? 7, 859 List the prime factors of 2/2*((-18)/12 - 3)*-2642. 3, 1321 Suppose 16 = 15*j - 44. Suppose c - 5*c - 4*q = -764, -q = 3*c - 583. Suppose -2*g - 5*b + 195 = -j*b, -2*b + c = 2*g. List the prime factors of g. 97 Let t(z) = 4*z**3 + 5*z**2 - 17*z - 13. Let j = -83 + 88. List the prime factors of t(j). 17, 31 Suppose -24*m + 1770 = -9*m. Suppose -3*f - u = -376, -f + 4*u = -2*f + m. List the prime factors of f. 2, 3, 7 Let u(o) = 7024*o**2 + 268*o - 266. What are the prime factors of u(1)? 2, 3, 1171 Suppose 0 = 5*p - 4655 - 4690. Suppose 3*o + 15 = 0, -5*i + 2*o + 251 = -p. Suppose -r + i = r. What are the prime factors of r? 211 Suppose -6*r + 618 + 2766 = 0. Let a = 1340 - r. List the prime factors of a. 2, 97 Suppose -9425 - 2104 = -7*n. Suppose -4*d + 549 = h - 0*h, -3*h = -4*d - n. List the prime factors of h. 3, 61 Let k(n) be the second derivative of 17*n**4/12 + 2*n**3/3 - 3*n**2/2 + 24*n + 2. List the prime factors of k(8). 1117 Suppose 234708 = 39*k - 30310 - 92885. List the prime factors of k. 3, 7, 19, 23 Suppose -f = 2*c - 17380, -2*f + 19516 = 5*c - 23932. Suppose 1588 = 14*y - c. List the prime factors of y. 2, 367 Let z(l) = -86*l**3 - 2*l**2 - 2*l - 1. Let s be z(-1). Let v = s - 85. Suppose v*k + 693 = 9*k. What are the prime factors of k? 7, 11 Let a = -31 + 66. Let k = 37 - a. Suppose 189 = s + 5*v, 2*s - k*v = 675 - 237. What are the prime factors of s? 2, 107 Let x = -164 - -171. Suppose -x*f + 35 = -154. What are the prime factors of f? 3 What are the prime factors of (-110015)/(-19 + (9 - -5))? 22003 Let l = 89795 + -41178. What are the prime factors of l? 61, 797 Suppose -770*t + 2563804 = -622*t. What are the prime factors of t? 17, 1019 Suppose -20*i + 31 = 171. Let z(t) = -t**2 - 12*t + 18. Let w(v) = -v - 1. Let m(s) = -4*w(s) + z(s). List the prime factors of m(i). 29 Suppose -2*z = -5*w + 1064 + 6801, -2*w = -5*z - 19694. Let d = -2582 - z. List the prime factors of d. 2, 7, 97 Let r(f) = -29 + 86 - 25 + 9*f + 6*f**2 - 27 - 102*f**3. What are the prime factors of r(-2)? 827 Let c = -1630 - -4023. List the prime factors of c. 23
{ "pile_set_name": "DM Mathematics" }
*n + 591. Let a be p(31). Is a at most as big as -2/5? False Let b = 0.05 + 22.95. Let l = 23.3 - b. Let f = l - 1.3. Is f smaller than 1? True Let h(u) be the third derivative of 14*u**5/15 + u**4/8 + 20*u**2. Let n be h(1). Is 60 greater than n? True Let u be (-7)/(28/(-216)) - 4. Suppose 0*w - 2*w - u = 0. Is -26 greater than or equal to w? False Let g(v) = v**2 - 25*v + 57. Let f be g(22). Which is bigger: -32 or f? f Suppose 5*q = u, -4*u = -3*q + 4*q. Let l = -19/7 - -53/35. Which is bigger: q or l? q Let k(h) = -2 + 4*h**2 - 6*h**2 - 7*h + 3*h**2 + 14. Let b be k(5). Suppose 45 = -5*j + 2*z - 3*z, -b*z - 18 = j. Which is smaller: j or -10? -10 Suppose -2*a - a = -3*z + 21, 0 = -3*z + 5*a + 29. Suppose -z*k = -3*k + k. Which is smaller: k or -3/7? -3/7 Suppose -3*v + 4*u = 14, -2*v + 0*v - 16 = -4*u. Suppose -2*c - 23*c = -125. Which is bigger: v or c? c Let g = -40 - -12. Let o be -18*(g/8 + 0). Let r be (-3 + o/12)/(-6). Which is smaller: r or 0.1? r Suppose 0 = -c - 0 - 34. Suppose -2*v + 0*v = 66. Let g = c - v. Which is smaller: g or 1/19? g Let x = 1 - 5. Let c = x - -3.98. Which is smaller: c or 1? c Let q(t) = -t**3 + 3*t**2 - t - 3. Let y be q(2). Let c be 4*(0 - y) + (-18)/6. Is 0 at most as big as c? True Let v = 0.1 + -0.1. Let p = v - 0.3. Let g = -0.2 - p. Is g greater than or equal to 3? False Let z be (-1)/(-1) + (-6)/(-2). Suppose -4 = -v, -2*m = 2*m + 5*v - z. Let y be (-4)/(-6) - 44/12. Is y less than m? False Suppose -51 - 79 = -26*k. Let t(s) = 7 - 3*s + 0 - 1. Let v be t(k). Which is greater: v or -8? -8 Let l be 1 + (3 - 1 - 1). Suppose -3*h = 5 + 1, 3*w - 491 = 4*h. Let o = w - 162. Which is smaller: o or l? o Suppose -26*i = -8*i + 36. Let k be (0 - -1) + (-27)/12. Is i > k? False Let s(k) = k**2 - 16*k - 34. Let l be s(18). Let h be (0 + l - 0)*(-10)/4. Which is smaller: h or -4? h Let m be 75/35 - 2 - (-16)/(-14). Let g = -141/7 - -2411/119. Is g bigger than m? True Let l = 40/17 - 1153/136. Which is greater: -6 or l? -6 Suppose -5*y + 30 = -5*o, -4*y + 7 = -2*o - 11. Suppose 2*l - x + 3*x = -6, -3*l = -3*x - y. Which is greater: l or 3/73? 3/73 Let x(i) = i**2 + 8*i + 7. Suppose g - 22 = 5*d + 13, -d - 5*g = 7. Let f be x(d). Do f and 2/55 have the same value? False Let n be (-159)/77 - (-159)/371. Let u be (-2)/(-6) - (-12)/(-9). Is n smaller than u? True Suppose -33*b = -10*b - 184. Which is smaller: 1/3 or b? 1/3 Suppose -12 = -3*t, 22 + 16 = -3*p + 5*t. Suppose 4*h + 52 = -4*s, 5*s + h + 3*h = -60. Does s = p? False Let x = -601 + 659. Which is smaller: x or 60? x Let p(d) = -d**3 - d**2 + 9. Suppose -2*t + 30 = 4*t. Let j be p(t). Let b = -2257/16 - j. Which is bigger: b or 1? 1 Suppose -3*g = 3*z - 21, z + z + 16 = 4*g. Suppose -h + 35 = 5*r, g*r - 7 - 28 = -3*h. Suppose -4*x - 5*l + 0 = -r, 5*l - 19 = 2*x. Which is smaller: -1 or x? x Suppose v - 75 = -2*n, -11*n + 14*n = -5*v + 368. Which is bigger: v or 75? 75 Suppose -2*w = -3*y - y + 34, 0 = -4*y - 2*w + 14. Suppose 0 = 2*z + f + 3, 2*f + 18 = 4*z + 44. Let m be (y/z)/(18/(-78)). Is m smaller than 6? False Suppose -1146 - 830 = 8*l. Which is greater: -250 or l? l Let j(u) = 2*u**2 + 34*u - 24. Let a be j(-18). Suppose -2*r - 46 = -16. Let o be a/(-15) + 93/r. Which is smaller: o or 1? o Let t = 1 + -2. Let s = t - -0.8. Let k be (-3)/(-12)*(-4 - 2). Is k less than s? True Let g = -328 + 331. Let y(d) = -d**3 - 5*d**2 + d - 5. Let z be y(-5). Let x = z - -14. Is g <= x? True Let f = -2210 + 3537. Let d = f + -759. Let t = 1720/3 - d. Is t less than or equal to 6? True Let l = -9206 + 9146. Let i be 8/12 - 364/6. Do i and l have the same value? True Let j be ((-8)/8)/((-2)/190). Let p = 30 - j. Let y be ((-2)/p)/(13/(-65)). Is y at least 0? False Suppose -16 = -6*s + 4*s. Suppose 6 = u - 3*v, s*u + 4*v + 8 = 3*u. Which is smaller: -3/7 or u? -3/7 Let v be (-2*3/(-24))/(414/(-24)). Let f = 25/138 + v. Is f bigger than -0.2? True Let q = -191379/28577 + -15/1681. Which is greater: q or -7? q Let n(i) = -i**3 - 2*i**2 - 3. Suppose 2*y + 21 = -5*y. Let x be n(y). Let m be (-59)/(-21) + x/18. Which is smaller: m or 4? m Let o(i) = -18*i + 11. Let a be o(-4). Which is greater: a or 84? 84 Let b be 4 + (2 - 104/(-4)). Let v = b - 34. Are -14/5 and v equal? False Let p(j) = -j**2 - 20*j + 20. Let f(h) = 3*h**2 + 41*h - 39. Let m(t) = -2*f(t) - 5*p(t). Let i be m(17). Let y be (-18)/4 + (-1)/2. Is y greater than i? False Let s = -168.4 - -183. Let y = -14.6 + s. Which is greater: y or -2/19? y Let j = -34641/433 + 80. Is -1 at most as big as j? True Let a be ((-4)/8)/((-873)/(-36)). Do a and 2/11 have different values? True Let u be (1/4 - 0)*1. Let r = -5.33 + -0.17. Let k = r + 3.5. Which is smaller: u or k? k Suppose -6*g = -11*g + 15. Let o be ((-2)/g*-3)/(12/(-4)). Is o greater than -1? True Let y(a) = -a**2 + a. Let p(h) = -23*h**3 + 4*h**2 - 3*h - 1. Let s(k) = p(k) + 3*y(k). Let i be s(-1). Suppose -5*x + 3 = i. Is x not equal to -3? True Let w = 2 - 5. Let f be (-7 + 22)*1/w - 4. Which is smaller: f or 0? f Suppose -2*y + 43 - 15 = 0. Let h be ((-4)/12)/(y/48). Which is bigger: h or -1? -1 Let z = -9.03 - -9. Let o = 0.11 - -0.04. Let f = 0.35 - o. Is z not equal to f? True Let z be (-1512)/(-26) - (7 - (-89)/(-13)). Which is greater: z or 61? 61 Let m be -10 - 0/5 - 0. Let b be 14/28 - 25*m/(-4). Is b at most -62? True Let k(g) = 5*g - 1. Let b be k(-2). Let w be 2 - (-3 - (-3 - 0)) - 54. Let y = 43 + w. Is y at most b? False Let w = -150.2 + 151. Is 27 > w? True Let r be 5 - (141/3)/(3 + -4). Does r = 51? False Suppose -z - 532 = 18*z. Are z and 2 equal? False Let o(t) = t - 10. Let f be o(10). Let m(h) = f*h - 4 + 2*h + 20. Let s be m(-7). Which is smaller: 0 or s? 0 Let o = 388 + 402. Let z = 46612/59 - o. Let v be (1 - 1)/(1 - 3). Is v > z? False Let o(m) = -m**2 + 11*m - 26. Let r be o(6). Let k(d) = -d**3 + d**2 + 10*d - 6. Let h be k(r). Are -12 and h nonequal? True Let g = 3.2 - -0.8. Let m = g + -3.7. Let j = 207/602 - 5/86. Which is bigger: j or m? m Let w = -2286/13 - -176. Suppose 29 + 3 = 2*k. Suppose -k = 4*n, -20 = 4*x - x + 5*n. Is x at least as big as w? False Let s = -0.1 - -0.13. Let z = 0.1 - s. Let y = z + -0.11. Which is smaller: -1 or y? -1 Let g be -4 + 16/6*(-9)/(-6). Is 14/11 at most g? False Suppose 0 = 16*u - 4*u - 192. Suppose 20*w - 28 = u*w. Is 0 not equal to w? True Let z be (2 - 1)/((-104)/(-20) + -5). Suppose z*r + 6 = -4. Is r less than -10/3? False Suppose 3*t + 4*w - 22 = 0, -w - 23 = -3*t - 6. Let z be t/9 + 2/(-6). Let g = -23.9 - -24.2. Which is bigger: z or g? z Let v be 636/(-2745) + (-8)/(-60). Let g = 346475/2783979 + -3/5071. Let s = g - v. Is s smaller than -1? False Suppose -4*j - 9 = 5*i + 23, 0 = 5*i - j + 42. Let q be ((4/i - -2)*-11)/2. Is -8 less than or equal to q? False Let w(v) = v - 1. Let z(j) = j**2 - 7*j + 12. Let u(q) = -6*w(q) + z(q). Let p be u(12). Is 8 at least as big as p? True Let b be ((-20)/(-195))/(2/(-12)). Let d = 75/26 - b. Which is smaller: 5 or d? d Let s be (-20)/(1/(-3)*-3). Let p be ((-6)/s)/((-12)/(-10)). Let w = -380 - -380. Do p and w have different values? True Let d = 0 + 0. Let g be (-84)/(-18) - 31/(-93). Suppose -4*v - 12 = d, 2*x + 2*x = g*v + 19. Which is greater: 18/11 or x? 18/11 Let m = 49 + -140. Let h be -2 + m/(-29) + -1. Is 1 smaller than h? False Suppose -5*m - 45 + 5 = 0. Let i = m + 13. Let n be (3/4)/(i/20). Which is greater: n or -2/3? n Suppose 5*p + y + 59 - 20 = 0, 3*y = -p - 5. Let s be (9/(-4))/(3/p). Let w be (-3)/9 - 4/s. Which is smaller: w or 0.23? w Let t = -282 - -42. Let j = 239214/5 - 48085. Let m = j - t. Which is bigger: m or -1? -1 Let r = 16 + -12. Suppose -k = -4*f - 5, -r*k + 4 = -0*k. Let q be -11*(-2)/12 - 2. Which is greater: q or f? q Let k = 275 - 279. Which is smaller: k or -11/4? k Let m(v) = v**3 + v**2 - 2*v + 2. Let j be m(1). Suppose 19 = 4*i - 3*t, 3*i + j*t = -i - 6. Which is smaller: -2/9 or i? -2/9 Let s = 12 - 3. Suppose -2*f - f + s = 0. Suppose 6*v = 3*q + v + 44, -28 = 5*q + f*v. Are -9 and q equal? False Let x be (2 - 0) + (-1 - 63). Let d be 1 - -1 - x/(-6). Is d > -7? False Let u = -663 - -662.91. Is 4 greater than or equal to u? True Suppose 0 = 5*j - 93 + 18. Let a be 2/(-24)*((-80)/j)/8. Suppose 0*k + 2*k
{ "pile_set_name": "DM Mathematics" }
replacement from clcccadjujcuuj? 15/364 Two letters picked without replacement from tttkkktttttt. What is prob of picking 2 k? 1/22 Three letters picked without replacement from wgpwpwpwwwppwwwpw. Give prob of picking 1 w, 1 p, and 1 g. 3/34 Calculate prob of picking 2 w and 2 k when four letters picked without replacement from {k: 2, w: 6}. 3/14 Two letters picked without replacement from wavaavl. What is prob of picking 1 a and 1 v? 2/7 Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 1, k: 1, u: 1}. 1/3 Two letters picked without replacement from {b: 2, m: 3, f: 1, w: 4, u: 1}. What is prob of picking 1 u and 1 f? 1/55 Calculate prob of picking 2 n when two letters picked without replacement from nnen. 1/2 Two letters picked without replacement from {v: 1, x: 2, l: 4, g: 2, u: 3}. Give prob of picking 1 v and 1 l. 2/33 Three letters picked without replacement from {i: 6, z: 1, e: 8}. Give prob of picking 2 i and 1 e. 24/91 Calculate prob of picking 2 y and 2 w when four letters picked without replacement from ugwgyyuuyywy. 2/99 Two letters picked without replacement from nccxxn. What is prob of picking 2 n? 1/15 Calculate prob of picking 2 e when two letters picked without replacement from vlvveleevsvvvllg. 1/40 Two letters picked without replacement from uiefrhf. Give prob of picking 1 h and 1 u. 1/21 Calculate prob of picking 3 h when three letters picked without replacement from hcechhccecccccchchcc. 1/114 What is prob of picking 2 v when two letters picked without replacement from vvnv? 1/2 Two letters picked without replacement from {x: 1, v: 1, k: 1, m: 2}. Give prob of picking 1 v and 1 x. 1/10 Two letters picked without replacement from {k: 2, s: 2, t: 1, o: 2, x: 1, b: 1}. Give prob of picking 2 k. 1/36 Three letters picked without replacement from nwnowwnwnwnooo. What is prob of picking 1 o and 2 w? 10/91 What is prob of picking 2 o when two letters picked without replacement from nnoxxgog? 1/28 Calculate prob of picking 3 g when three letters picked without replacement from gggggggvgvvvgg. 30/91 Four letters picked without replacement from {a: 10, b: 2}. What is prob of picking 3 a and 1 b? 16/33 Three letters picked without replacement from {g: 3, v: 3, m: 7, h: 2, k: 3}. What is prob of picking 1 h and 2 v? 1/136 Three letters picked without replacement from {l: 3, t: 8}. Give prob of picking 3 l. 1/165 Calculate prob of picking 2 o when two letters picked without replacement from {n: 7, t: 3, x: 2, o: 4, e: 2}. 2/51 Three letters picked without replacement from eihiohoooohio. What is prob of picking 2 h and 1 e? 3/286 What is prob of picking 2 b when two letters picked without replacement from {d: 2, n: 1, l: 1, b: 2, w: 1}? 1/21 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {i: 4, u: 4, f: 1, k: 1, p: 1}. 4/55 Two letters picked without replacement from tttvtttttvt. What is prob of picking 1 t and 1 v? 18/55 Four letters picked without replacement from etftteft. Give prob of picking 2 f, 1 e, and 1 t. 4/35 Four letters picked without replacement from {u: 1, b: 4, k: 5, e: 1}. What is prob of picking 4 b? 1/330 Three letters picked without replacement from {k: 5, r: 3, a: 1, t: 4}. What is prob of picking 3 r? 1/286 Calculate prob of picking 2 m when two letters picked without replacement from mmmvvv. 1/5 Four letters picked without replacement from uzzzumziy. Give prob of picking 3 i and 1 z. 0 What is prob of picking 2 m when two letters picked without replacement from {v: 2, b: 4, f: 1, m: 9}? 3/10 Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {v: 9, n: 1, p: 1, o: 4}. 4/105 Three letters picked without replacement from whwdwdhddwwww. Give prob of picking 1 h and 2 d. 6/143 Three letters picked without replacement from eeyyeyyyyyyyyyeyyyy. Give prob of picking 3 y. 455/969 What is prob of picking 2 m and 1 a when three letters picked without replacement from ammammmmammmamma? 55/112 What is prob of picking 1 l, 1 g, and 1 a when three letters picked without replacement from {g: 2, l: 1, a: 4, v: 2, t: 5}? 2/91 Calculate prob of picking 2 f when two letters picked without replacement from {u: 2, e: 12, f: 3}. 3/136 Calculate prob of picking 3 g when three letters picked without replacement from lllgglllglgggglglg. 7/68 What is prob of picking 1 r, 1 u, 1 b, and 1 q when four letters picked without replacement from dbqhhdru? 1/70 Calculate prob of picking 2 s when two letters picked without replacement from {e: 4, s: 3, h: 1}. 3/28 What is prob of picking 1 v and 1 e when two letters picked without replacement from vggvgvgeg? 1/12 Three letters picked without replacement from www. What is prob of picking 3 w? 1 What is prob of picking 1 i and 1 d when two letters picked without replacement from {o: 1, d: 8, x: 1, i: 2, p: 2}? 16/91 Calculate prob of picking 1 d and 1 u when two letters picked without replacement from rdrddrrdrrdrrudrr. 3/68 What is prob of picking 1 k, 1 q, and 1 g when three letters picked without replacement from {q: 1, g: 1, s: 2, k: 3, l: 10}? 3/680 Three letters picked without replacement from {x: 2, k: 4, c: 2, n: 3}. What is prob of picking 2 n and 1 k? 4/55 Calculate prob of picking 2 g and 2 l when four letters picked without replacement from ggglgyggglygggl. 9/91 Calculate prob of picking 2 c and 1 z when three letters picked without replacement from zwccscccz. 5/21 Four letters picked without replacement from jjjdjjpjjjjdded. What is prob of picking 1 j, 2 d, and 1 e? 18/455 Four letters picked without replacement from {r: 1, h: 1, g: 5, s: 4, c: 6, o: 3}. What is prob of picking 1 r and 3 s? 4/4845 Three letters picked without replacement from jqjqjjqjjjjjjjjqjjj. Give prob of picking 1 j and 2 q. 30/323 Two letters picked without replacement from {k: 3, l: 2}. Give prob of picking 1 k and 1 l. 3/5 What is prob of picking 1 o and 1 d when two letters picked without replacement from {j: 3, h: 6, d: 1, o: 4}? 4/91 Two letters picked without replacement from mlllddddldllddd. Give prob of picking 1 l and 1 d. 16/35 Two letters picked without replacement from etteeeteeeeeteeeeeee. What is prob of picking 2 t? 3/95 Three letters picked without replacement from ahahkaaaahppkkahgk. Give prob of picking 2 a and 1 g. 7/272 What is prob of picking 1 e, 2 w, and 1 j when four letters picked without replacement from {e: 3, t: 7, p: 2, j: 3, w: 3}? 3/340 Two letters picked without replacement from {a: 7, j: 1, v: 1, q: 3, o: 4, t: 4}. What is prob of picking 1 v and 1 a? 7/190 Three letters picked without replacement from knxzgnuxgxg. What is prob of picking 1 x and 2 n? 1/55 Three letters picked without replacement from wkwkeyaykaaakyweesyw. Give prob of picking 1 w, 1 e, and 1 s. 1/95 What is prob of picking 1 l, 1 o, 1 c, and 1 g when four letters picked without replacement from giioclac? 1/35 Calculate prob of picking 1 y and 1 v when two letters picked without replacement from rryssvgsyzy. 3/55 Calculate prob of picking 1 j and 3 h when four letters picked without replacement from hjhhjhhhhhjhhjhhhhj. 455/969 Two letters picked without replacement from sswwyswsyyysyws. What is prob of picking 2 s? 1/7 Three letters picked without replacement from {w: 2, d: 2}. Give prob of picking 2 d and 1 w. 1/2 Calculate prob of picking 2 f when two letters picked without replacement from fffff. 1 Four letters picked without replacement from {s: 5, b: 11}. Give prob of picking 4 b. 33/182 Two letters picked without replacement from {p: 2, z: 8}. What is prob of picking 1 z and 1 p? 16/45 Two letters picked without replacement from {d: 15, f: 3}. What is prob of picking 2 d? 35/51 Three letters picked without replacement from {r: 2, t: 1, c: 2, g: 3, j: 1, e: 3}. What is prob of picking 1 c and 2 g? 3/110 Calculate prob of picking 1 h and 1 v when two letters picked without replacement from vvhv. 1/2 What is prob of picking 2 w when two letters picked without replacement from wwww? 1 Three letters picked without replacement from {m: 1, d: 1, y: 7}. Give prob of picking 3 y. 5/12 Three letters picked without replacement from oqdll. What is prob of picking 1 o, 1 l, and 1 d? 1/5 What is prob of
{ "pile_set_name": "DM Mathematics" }
4 and g. 72 Let o = 750 + -2221/3. Find the common denominator of -1/27 and o. 27 Let t = -74 - -77. What is the least common multiple of 16 and t? 48 Suppose -150 = -8*z + 170. What is the least common multiple of z and 45? 360 Let u(t) = 2*t**2 + 8*t - 54. What is the least common multiple of 30 and u(5)? 180 Find the common denominator of ((-1)/(-50))/((-2)/95) and -5/16. 80 Let n = -19587179/126 + 155453. Find the common denominator of n and -3/8. 504 Let u = 314 - 300. Calculate the lowest common multiple of 10 and u. 70 Let t(r) = -7*r - 6. Let c be t(-3). What is the common denominator of -32/5 and c/(-25) + (-534)/(-40)? 20 Suppose 76 = -4*p - 4*c, 2*c - 7*c = 15. Let b = p + 24. What is the least common multiple of 22 and 9 + (-4)/b*6? 66 Suppose 2*v - 4 - 6 = 0. Suppose 2*j + 2 = v*l - 11, 3*j = 3. What is the common denominator of -9 and l/(27/84)*1? 3 Suppose -4*j + 84 = -0*q + 2*q, 0 = -2*q. Let l = 24 - j. Suppose -g + 2*n = -4*g + 6, 0 = -l*g + 3*n + 21. What is the lowest common multiple of g and 11? 44 Let l = -9591 - -4030. Let g = 55659/10 + l. Find the common denominator of 7/12 and g. 60 Let g = -30 + 59. Suppose m - 33 = -2*z, -2*z - 4*m = -7*m - g. Calculate the least common multiple of (6/14)/(12/21)*16 and z. 48 Suppose -140 + 17 = 3*s. What is the common denominator of (s - -41) + -5*(-10)/(-6) and 80/21? 21 Find the common denominator of (-6)/2 + 2264/560 and 1/6. 210 Suppose 1 - 8 = -7*k. Calculate the smallest common multiple of 14 and (k + 0)*(7 + 3). 70 What is the least common multiple of (-20310)/(-45) + -12 - (-2)/3 and 88? 440 Let z be (29/(-3))/(-4*(-7)/(-84)). Suppose 3*j + 4*d = 8*j - z, -9 = -2*j - d. What is the least common multiple of j and 68? 340 Suppose 3*p = -3*a + 166 + 2, -a + p = -54. What is the smallest common multiple of a and 33? 165 Suppose -5*k + 160 = 35. Let x be 6*k/10 - -1. What is the common denominator of -40/11 and ((-1)/20)/(x/520)? 88 Let p = 1354/103 + -877723/412. Let k be (-2 + 0)/(3/3156). Let s = p - k. What is the common denominator of s and -119/12? 12 What is the smallest common multiple of 30 - ((-14)/6)/((-168)/432) and 844? 5064 Let a = 135729 + -22802345/168. Calculate the common denominator of a and 19/30. 840 Let u(m) = -113*m + 125. Suppose 0*b - 3*b + 42 = 0. What is the smallest common multiple of b and u(1)? 84 Let o = 267 + -217. What is the least common multiple of 50 and o? 50 Let h = -5173 - -5178. Suppose 2*l = -l + 12. What is the least common multiple of l and h? 20 Let c be (28/8)/((-1)/60). Let n be 5/(-306)*(-48)/c. Let d = n + 7382/1071. Calculate the common denominator of d and -58/5. 45 Let w be (-15)/(-55) - (-148362)/264. Suppose -2*g = 3*g - 2835. Let f = w - g. Find the common denominator of 19/5 and f. 20 Let v(r) = 4*r - 6. Let s be v(6). Let l be ((-7931)/(-200))/(45/s). Let m = l - 14/125. What is the common denominator of m and 28/15? 60 Suppose -2*q - 3 + 17 = 0. Suppose -q = 2*n - 23. Calculate the least common multiple of n and -3 + (5 - (4 + -8)). 24 Let z be (-2478)/18 + (-2)/(-2). Let m = z - -146. Find the common denominator of -89/30 and m. 30 Let f = -5/33464 + 1690157/1505880. What is the common denominator of f and -107/54? 270 Let f = 6446 - 51489/8. What is the common denominator of f and 3 - -4 - 201/(-18)? 24 Let k(p) = 2*p + 4. Let i be k(5). Let w(d) = d**3 - 3*d**2 - 23*d - 7. Let n be w(7). What is the least common multiple of (-4)/i - (-316)/n and 7? 77 Find the common denominator of 95/16 and (4/6)/((-1)/(125/5)). 48 Calculate the common denominator of 0 - (5 + (-1235)/120) and -163/66. 264 What is the common denominator of (232/(-176))/((-4)/(-12*1)) and 2/(-4) + (-26)/(-3)? 66 Suppose -2*z = 2*u - 14, -5*z + u = -u - 63. Let q = z - 7. Calculate the lowest common multiple of 5 and q. 20 Let h = -2217/4 - -558. Let u = -510 - -5618/11. Calculate the common denominator of h and u. 44 Suppose -3*d - 4*j + 34 = 0, -32 = d - 3*d - 5*j. What is the common denominator of 109/63 - 4/14 and 52/d*42/8? 18 Suppose 3*l - 39 - 57 = -5*g, 0 = 5*g + 2*l - 94. What is the smallest common multiple of 51 and g? 306 Let z = 3263/66 + 91253/11. Let s = z + -8369. Let w = 2168 + -4247/2. What is the common denominator of s and w? 6 Suppose 0 = -a - 0*a - 8. Let u be 682/a - (-1)/4. Find the common denominator of -2*1 + u/100 and 33/2. 20 Let g(k) = k**3 + 16*k**2 + 14*k - 17. Let v be g(-15). Let f(b) = 13*b**2 + 2. Let t be f(v). What is the lowest common multiple of 6 and (t + 0)*2/6? 18 Let o = 47 + -35. Let c = o - 1. What is the least common multiple of c and 7? 77 What is the common denominator of -23/220 and 11*(-16)/(-264) + (-388)/240? 220 Let r = 54984837/10 + -5488744. Let l = r - 9750. Find the common denominator of l and 79/(1 + 22 + -1). 110 Let r = -93251/3234 - -2/1617. Let i be -14 - (-2 + 8/3). Let c = r - i. What is the common denominator of c and -45/16? 48 What is the common denominator of (-137)/15*(-5)/(-2) and (-2325)/264 + (-158)/(-869)? 24 Let w = 23/107 + -8186/749. Let g = w - -661/63. What is the common denominator of 69/8 and g? 72 Suppose 5 + 5 = 5*g. Let c = g + -89. Calculate the common denominator of 3/5 - c/5 and 53/7. 7 Let n = 322 - 224. Suppose -21*x + n = -14*x. Calculate the lowest common multiple of 6 and x. 42 Let g(m) be the third derivative of 0 + 6*m**2 + 0*m**3 + 0*m + 1/12*m**4. What is the smallest common multiple of 42 and g(8)? 336 Let d = -59 + 58. What is the common denominator of 52/15 and (-4)/(-14) + (-1401)/(-168) + d? 120 Let a = 6139/1740 + 3/580. Calculate the common denominator of a and (-77)/(-6)*(1 - 2). 30 Let p = 2861 - 2825. What is the smallest common multiple of 603 and p? 2412 Let i be (-1)/3 + 1358/42. Suppose -2*y - 2*y = 3*c - i, 5*y - 33 = -2*c. Let o(g) = -g**2 + 7*g - 2. Calculate the lowest common multiple of y and o(5). 40 Let s = 311/12 - 29/12. Find the common denominator of s and -93/22. 22 What is the common denominator of -131/12 and 23/(-575)*295/(-4)? 60 Let q = -462 + 472. Let i(s) be the first derivative of -s**3/3 + 7*s**2/2 - 2. Calculate the smallest common multiple of i(5) and q. 10 What is the common denominator of -53/84 and 6/98*(-48)/(-72)? 588 Suppose -4*j - j = -10. Suppose -4*i = -3*s + 17, 6*i + 10 = j*s + 3*i. Find the common denominator of 73/20 and (19/(-44))/(s/(-22)). 220 Let d be (-1)/((-364)/(-652)) + 4/(-14). Let m = d - 6/91. Calculate the common denominator of (-162)/4*1/2 and m. 28 Calculate the least common multiple of 30 and 0 + 0/16 + 34 + -1. 330 Let o = -9733147/144 - -67591. What is the common denominator of o and -119/20? 720 Suppose -18*j = 1293 + 23511. Let a = 27571/20 + j. Find the common denominator of -81/8 and a. 40 Let v(a) be the first derivative of a**2 - a + 1. Suppose 4*j - 395 = 3*x - 444, 0 = -3*x - 4*j + 89. Calculate the smallest common multiple of v(3) and x. 115 Let r(p) = -p**2 + 59. Let c(z) = -7*z - 1. Calculate the smallest common multiple of c(-1) and r(7). 30 What is the least common multiple of 96 and 8/44 + 392/22? 288 Let q = 322687/67344 + 1/22448. Find the common denominator of q and -3/296. 888 Suppose -t + 224 = 3*t - 2*m, -20 = 5*m. Calculate the lowest common multiple of 12 and t. 108 Let j = 33 - 17. Let z(l) = 6*l**2 + 6 + 5*l**2 - 3*l - 7*l**2. Calculate the lowest common multiple of j and z(2). 16 Let o = -4699/210 + 3/70. What is the common denominator of 37/30 and o? 30 Let y = -10731/38440 - -4/961. What is the common denominator of y and (-505)/60*-1 + -3? 120 Find the common denominator of -83/16 and (6/(-144))/((-4)/(-9)). 32 Let l be (2/(-6))/((-6)/(-9999)). Let s = l + 4519/8. What is the common denominator of -99/14 and s? 56 Let l(j) = -5 + 3 + 3*j + 6 - 1. Suppose 5*c = 2*c + 6. Calculate the smallest common multiple of l(c) and 6. 18 Let u = 223 - 439. Calculate the common denominator of (-12)/(-30)*(-51)/u*-5 and -3. 36 Let l = -22 - -36. Suppose -4*h + 18 + l = 0. Suppose -h = 2*y - 3*y. What is the least common multiple of 7 and y? 56 What is the common denominator of -63/128 and 28/(-4) + 1039/160? 640 Suppose -199 - 201 = -5*v. Calculate the smallest common multiple of 16 and v. 80 Let h = -116209/30 - -11338/3. Let a = 83 + h. Calculate the common denominator of a and
{ "pile_set_name": "DM Mathematics" }
vided by 18128? 1 What is the remainder when 2963 is divided by 1475? 13 Calculate the remainder when 6489 is divided by 2154. 27 Calculate the remainder when 1589500 is divided by 15. 10 Calculate the remainder when 3326 is divided by 186. 164 What is the remainder when 9518 is divided by 4756? 6 What is the remainder when 33932 is divided by 1037? 748 What is the remainder when 4867 is divided by 485? 17 Calculate the remainder when 39355 is divided by 46. 25 What is the remainder when 72179 is divided by 31? 11 What is the remainder when 2525 is divided by 1259? 7 What is the remainder when 2992 is divided by 552? 232 Calculate the remainder when 15029 is divided by 1077. 1028 What is the remainder when 28430 is divided by 8615? 2585 Calculate the remainder when 66978 is divided by 394. 392 Calculate the remainder when 3287 is divided by 61. 54 Calculate the remainder when 7798 is divided by 7749. 49 Calculate the remainder when 114786 is divided by 57. 45 What is the remainder when 7823618 is divided by 1148? 1146 Calculate the remainder when 50502 is divided by 12624. 6 What is the remainder when 30607 is divided by 41? 21 What is the remainder when 2084 is divided by 185? 49 What is the remainder when 19154 is divided by 10? 4 Calculate the remainder when 1147 is divided by 572. 3 What is the remainder when 233443 is divided by 29179? 11 What is the remainder when 12291 is divided by 4060? 111 What is the remainder when 1935 is divided by 30? 15 Calculate the remainder when 7674 is divided by 25. 24 What is the remainder when 497946 is divided by 393? 15 Calculate the remainder when 64294 is divided by 2. 0 Calculate the remainder when 5188 is divided by 470. 18 What is the remainder when 4273 is divided by 299? 87 Calculate the remainder when 7010 is divided by 292. 2 Calculate the remainder when 10507 is divided by 2517. 439 Calculate the remainder when 2830 is divided by 406. 394 Calculate the remainder when 16484 is divided by 147. 20 Calculate the remainder when 1857 is divided by 823. 211 Calculate the remainder when 1121754 is divided by 147. 144 Calculate the remainder when 30121 is divided by 10039. 4 What is the remainder when 118804 is divided by 861? 847 Calculate the remainder when 52408 is divided by 728. 720 What is the remainder when 5474 is divided by 33? 29 What is the remainder when 28741 is divided by 33? 31 Calculate the remainder when 136705 is divided by 10515. 10 What is the remainder when 13637 is divided by 8? 5 What is the remainder when 168028 is divided by 3231? 16 Calculate the remainder when 2526 is divided by 160. 126 Calculate the remainder when 700 is divided by 563. 137 What is the remainder when 4275 is divided by 68? 59 What is the remainder when 15 is divided by 10? 5 Calculate the remainder when 1676 is divided by 1458. 218 What is the remainder when 44185 is divided by 803? 20 What is the remainder when 58131 is divided by 197? 16 What is the remainder when 94038 is divided by 131? 111 What is the remainder when 58722 is divided by 19510? 192 Calculate the remainder when 20641 is divided by 2947. 12 Calculate the remainder when 627 is divided by 29. 18 What is the remainder when 13003 is divided by 2595? 28 What is the remainder when 14059 is divided by 7025? 9 What is the remainder when 17250 is divided by 683? 175 Calculate the remainder when 1360 is divided by 91. 86 What is the remainder when 3365 is divided by 3277? 88 Calculate the remainder when 6755 is divided by 5149. 1606 Calculate the remainder when 342681 is divided by 1061. 1039 Calculate the remainder when 11044 is divided by 5510. 24 What is the remainder when 219330 is divided by 988? 982 What is the remainder when 86 is divided by 49? 37 Calculate the remainder when 2365 is divided by 967. 431 What is the remainder when 33746 is divided by 8434? 10 Calculate the remainder when 190401 is divided by 54. 51 What is the remainder when 8357 is divided by 93? 80 What is the remainder when 3108 is divided by 6? 0 Calculate the remainder when 21141 is divided by 50. 41 What is the remainder when 968 is divided by 451? 66 Calculate the remainder when 10220 is divided by 155. 145 What is the remainder when 130703 is divided by 11881? 12 Calculate the remainder when 3359 is divided by 1117. 8 What is the remainder when 21333 is divided by 2749? 2090 Calculate the remainder when 24418 is divided by 210. 58 Calculate the remainder when 95494 is divided by 6. 4 Calculate the remainder when 10589 is divided by 628. 541 Calculate the remainder when 61250 is divided by 1701. 14 Calculate the remainder when 31475 is divided by 180. 155 What is the remainder when 505295 is divided by 396? 395 Calculate the remainder when 9753 is divided by 3230. 63 What is the remainder when 47707 is divided by 23851? 5 Calculate the remainder when 2054 is divided by 448. 262 Calculate the remainder when 15394 is divided by 467. 450 What is the remainder when 1528898 is divided by 16? 2 Calculate the remainder when 5213 is divided by 326. 323 What is the remainder when 12197 is divided by 3049? 1 What is the remainder when 148859 is divided by 130? 9 What is the remainder when 375 is divided by 122? 9 Calculate the remainder when 40690 is divided by 357. 349 What is the remainder when 3542 is divided by 316? 66 What is the remainder when 44153 is divided by 19? 16 Calculate the remainder when 1789289 is divided by 10. 9 Calculate the remainder when 5501 is divided by 322. 27 What is the remainder when 2820479 is divided by 480? 479 Calculate the remainder when 4114 is divided by 109. 81 Calculate the remainder when 25542 is divided by 393. 390 What is the remainder when 788830 is divided by 129? 124 What is the remainder when 189384 is divided by 17? 4 What is the remainder when 1977 is divided by 1004? 973 Calculate the remainder when 286075 is divided by 143031. 13 What is the remainder when 4356 is divided by 4273? 83 What is the remainder when 22697 is divided by 194? 193 What is the remainder when 19394 is divided by 52? 50 What is the remainder when 118577 is divided by 118544? 33 Calculate the remainder when 1359 is divided by 10. 9 Calculate the remainder when 45264 is divided by 270. 174 What is the remainder when 281535 is divided by 28? 23 Calculate the remainder when 38676 is divided by 11. 0 Calculate the remainder when 91622 is divided by 29. 11 Calculate the remainder when 295916 is divided by 216. 212 Calculate the remainder when 10779 is divided by 212. 179 What is the remainder when 6721 is divided by 248? 25 What is the remainder when 147463 is divided by 87? 85 What is the remainder when 2532 is divided by 695? 447 What is the remainder when 10862 is divided by 51? 50 Calculate the remainder when 3885116 is divided by 380. 376 What is the remainder when 4126 is divided by 71? 8 What is the remainder when 575964 is divided by 19? 17 Calculate the remainder when 38113 is divided by 9449. 317 Calculate the remainder when 417212 is divided by 5638. 0 Calculate the remainder when 31105 is divided by 610. 605 What is the remainder when 44862 is divided by 1864? 126 Calculate the remainder when 3792579 is divided by 246. 243 Calculate the remainder when 62298 is divided by 301. 292 Calculate the remainder when 1495518 is divided by 23. 12 What is the remainder when 12324 is divided by 585? 39 What is the remainder when 47233 is divided by 7? 4 Calculate the remainder when 5749 is divided by 1656. 781 Calculate the remainder when 63512 is divided by 1025. 987 What is the remainder when 895 is divided by 426? 43 What is the remainder when 6939 is divided by 2308? 15 Calculate the remainder when 5564 is divided by 2666. 232 Calculate the remainder when 556538 is divided by 773. 751 What is the remainder when 556204 is divided by 16? 12 What is the remainder when 540925 is divided by 219? 214 What is the remainder when 2327 is divided by 1508? 819 What is the remainder when 4858 is divided by 10? 8 Calculate the remainder when 1189327 is divided by 23. 20 Calculate the remainder when 69531 is divided by 159. 48 What is the remainder when 122162 is divided by 18? 14 What is the remainder when 156285 is divided by 37? 34 What is the remainder when 2682 is
{ "pile_set_name": "DM Mathematics" }
ppose -3*g + 7*g - 474 = 2*q, -b*q + 373 = 3*g. Is g prime? False Let m(f) = 6*f**2 + f + 5. Let a = -21 + 13. Let x(r) = r + 4. Let p be x(a). Is m(p) composite? False Let b(p) be the third derivative of p**6/120 + p**5/6 - 13*p**4/24 + 5*p**2. Let o(l) = l**3 - l**2 - l - 11. Let v be o(0). Is b(v) composite? True Let o(i) be the first derivative of -77*i**2/2 + 2. Let v be o(-1). Is 4/(-16) - v/(-4) a prime number? True Let q(y) = -43*y + 3. Is q(-8) a composite number? False Let l(a) = -a**3 + a**2 + 5*a - 2. Let r(s) = -s + 1. Let v(y) = l(y) + 4*r(y). Let m be v(0). Suppose -m*d + d = -23. Is d a prime number? True Let m = -1089 + 2132. Is m composite? True Let h = 29 + -9. Suppose o + 5*z + h = 220, -379 = -2*o - 3*z. Let d = o - 120. Is d a prime number? False Suppose 2*o = 4*o - 1402. Is o a prime number? True Let r = 7386 - 4943. Is r a composite number? True Suppose 5*g = -q + 19, -6 = -5*g + q + 5. Let o(c) = 6*c - 3. Is o(g) prime? False Let f be -5 - (0 + (-2 - -4)). Let p(u) = 3*u**2 + 5*u + 9. Is p(f) a prime number? False Suppose -3*d = -5*d + 116. Suppose 0 = -x + j + d, -8*j + 187 = 4*x - 3*j. Is x a prime number? True Is (-370)/4*(-154)/35 a prime number? False Suppose 2207 = 3*f - 2*x, -5*f + 5008 = -4*x + 1333. Is f a prime number? True Suppose s + 4*s = 2215. Is s a prime number? True Suppose 2 = -4*a + 10. Let n be 412 + (a - -1) + 0. Suppose 4*i = -i + n. Is i prime? True Suppose a - 2386 + 485 = 0. Is a a prime number? True Suppose 4*k - 3*c + 63 - 10 = 0, 2*k - 4*c + 14 = 0. Let r = 70 + k. Is r prime? True Let f(s) = -7*s**2 + 7*s - 1. Let w(m) = 4*m**2 - 4*m + 1. Let b(x) = -3*f(x) - 5*w(x). Let y be b(-2). Let v = 2 + y. Is v composite? True Let p(r) = 4*r - 3. Let u be -7*(4 - (0 + 1)). Let t be (-4)/(-14) + (-141)/u. Is p(t) a prime number? False Let a(w) = 90*w - 1. Let h be a(5). Is h - (-1 + -1 + 4) a composite number? True Suppose n - 2*f - 487 = 0, -5*n + f + 4*f = -2415. Is n a composite number? False Let w be (-6)/4*(-1506)/(-9). Let k = w + 454. Is k prime? False Suppose -2*b - 22 = 2*s - 6*s, s - 13 = 2*b. Suppose 2*a - s = 1. Suppose a*y + 22 = t, t - 4*t = -2*y - 66. Is t a composite number? True Suppose 25 = -5*k, -5*b + 1849 = 4*k - 3176. Is b a prime number? True Let d(n) = n**3 - 10*n**2 - 8*n - 5. Is d(12) a composite number? True Suppose -161 = 4*x - 5*x. Is x composite? True Let a(h) = 13 + 2*h**2 - 5*h - 13. Suppose -4*r + 0*r + 20 = 0. Is a(r) prime? False Let r = 1006 + -327. Is r a prime number? False Suppose -3*a + 659 = -w, -2*w + 1 = 5. Is a composite? True Let o = -27 - -314. Is o composite? True Let q = -8 - -10. Suppose 191 = q*d + 57. Is d prime? True Suppose -26 - 22 = -4*k. Let v = k + 27. Is v prime? False Let v(h) = -h**3 - 6*h**2 - h - 2. Let u be v(-6). Suppose -389 = -5*d + 2*b + 589, 0 = 5*d - u*b - 986. Is d a composite number? True Let a(q) = 3*q - 3. Let u be a(2). Suppose -u*f = f - 316. Is f composite? False Let f = 448 - 315. Is f composite? True Suppose -4*c + t + 0*t + 629 = 0, 5*c = -5*t + 780. Is c a prime number? True Let s be -2 - -1 - (0 - 1). Suppose s = v - 6 + 16. Is 5/v - 135/(-2) a prime number? True Let n = 292 + -149. Is n prime? False Suppose -3*w + 724 + 3683 = 0. Is w composite? True Suppose 2*b - 859 = 3*i, 0*i - 1286 = -3*b + 4*i. Is b composite? True Let s(f) = f**2 - 3. Let z be s(-3). Suppose -3*y = -z - 6. Suppose y*a = -2*r + 178, 0*a - 481 = -5*r - a. Is r prime? True Let i = -2 - -3. Let o = i + -1. Suppose o = f - 2*f + 97. Is f composite? False Suppose 3*o = 3*h - 4848, 5*o + 8 - 18 = 0. Is h a prime number? False Is (956/16*-1)/((-2)/8) composite? False Suppose -5*s = -0*w + 4*w - 400, -4*w - s + 384 = 0. Is w prime? False Let v(x) be the second derivative of x**4/6 + x**3/2 - 3*x**2/2 + 2*x. Suppose 5*w - 4 = 6. Is v(w) prime? True Let x be 0 + -2 + 2 - 4. Let k(p) = 3*p + 4*p**2 + p**2 - 1 + 0*p. Is k(x) prime? True Let r be 2 - (2*-1 + 6). Let a be (r + 14)*(-6)/(-4). Suppose -140 = -2*w + a. Is w a prime number? True Suppose 2*r - 20 = -3*r. Suppose 5*t - r*t - 37 = 0. Is t a composite number? False Let t(o) = o**2 - 6*o - 2. Let s be t(6). Let c(w) = -15*w**3 + w**2 - w + 2. Let i be c(s). Suppose -4*h + i = -20. Is h a prime number? True Let i(m) = -403*m - 10. Is i(-5) composite? True Suppose -v + 284 = -623. Is v a prime number? True Suppose -5*t - 20 = 0, -o - t = -563 - 502. Is o a prime number? True Is 6684/(-8)*(-6)/9 composite? False Let l(y) = -3*y + 12*y - 16 + 28. Is l(9) a prime number? False Let x(g) = -7*g**3 - 19*g**2 - g - 11. Let m be -3 - 5/(5/(-8)). Let r(j) = -11*j**3 - 29*j**2 - 2*j - 16. Let a(v) = m*r(v) - 8*x(v). Is a(-7) composite? True Let g(s) be the first derivative of s**3/3 + 31*s - 4. Let o(f) = f**2 + 5*f - 6. Let a be o(-6). Is g(a) a composite number? False Let l = 434 + -251. Is l prime? False Let q(j) = 1346*j**2 - 5*j + 4. Is q(1) a composite number? True Let o = 554 - 267. Is o a prime number? False Suppose 6164 = 2*k + 2*k + 5*u, -2*u - 3064 = -2*k. Suppose -5*z + k = j, 4*z + 0*j = -4*j + 1232. Is z a composite number? False Suppose -t + 43 = -4*m, -2*t - 3*t = -3*m - 215. Is t a composite number? False Suppose -5*p = -p - 60. Suppose d + 0*d = -p. Is (-3)/d + 2188/10 prime? False Let d = -132 + 1529. Is d a composite number? True Let k(l) = -l**2 + 8*l - 3. Let i be k(8). Let u be 1/(0 + i/(-3)). Is u/(-6) + (-892)/(-24) prime? True Suppose w + 5*w = 6366. Is w a composite number? False Let j(v) = -2*v - 4. Let a be j(-3). Suppose -c - 150 = -6*c + 5*m, -3*m - 56 = -a*c. Is c prime? False Let h(l) be the first derivative of -1 - 6*l + l - l + 4 - 2*l**2. Is h(-5) composite? True Let y(o) = -4*o + 497. Is y(0) a prime number? False Suppose g - 213 = -y - 2*y, -4*y = -3*g - 297. Suppose 0 = -2*t + y + 18. Suppose t = 4*b + 9. Is b a prime number? False Suppose 192 = 6*p - 2*p. Suppose d - p = 19. Is d a composite number? False Let z be -1*3*(-20)/30. Suppose 2*o = -z*a + 394, -5*a - 176 - 232 = -2*o. Is o composite? False Let m = -5 - -8. Suppose -2*c - m*w = -0*w - 5, -w - 2 = -3*c. Is 1 + c - (-20 + 3) composite? False Let s = -9389 - -17208. Is s composite? True Let r(i) = i**3 - 3*i**2 + 1. Let w be r(3). Is w/(-2)*6 - -9 prime? False Let w = -2 + -10. Let n = w + 18. Is (n - 4)/((-4)/(-382)) prime? True Let u(h) = h**3 - 11*h**2 - 4*h - 5. Let n be u(8). Let a = -83 - n. Is a composite? True Let d(z) = 17*z**2 - 3*z - 3. Let a be d(-3). Let p = -88 + a. Is p a composite number? False Suppose a - 4 = -i + 4, -5*a = 4*i - 32. Suppose i*d - 164 = 4*d. Suppose m = 2*c - 190, 2*c - 155 - d = 4*m. Is c a composite number? True Let c be 0 + (0 - 0) + 3. Suppose f - 107 = -c*q, 0 = 3*f - 2*q - 29 - 281. Suppose -4*v - f = -588. Is v composite? True Let b = 8 - 5. Let q(z) = 15*z**2 - 5*z + 13. Let w(f) = 8*f**2 - 3*f + 6. Let y(x) = -2*q(x) + 5*w(x). Is y(b) a composite number? False Let r be (-3)/(-9)*1*18. Suppose r*x = -u + x + 477, 3*u = 2*x + 1465. Is u a composite number? False Let b(y) = 6*y + 5. Let d(u) = u. Let t(r) = -b(r) - 2*d(r). Is t(-5) a composite number? True Let m = 5625 - 3185. Is 4/(-22) - m/(-110) composite? True Let x(h) = 2*h**2 - 13*h + 15. Let p = 17 - 7. Is x(p) a composite number? True Let w(g) = -g**3 - 17*g**2 - g + 9. Is w(-17) a prime number? False Suppose -33*z - 17636 = -37*z. Is z a prime number? True Suppose -s + 4*s - 3 = 0. Let w(n) = s + n + 0*n + 0*n + 9*n**2. Is w(-1) prime? False Suppose 16*v = 18*v - 178. Is v a composite number? False Suppose -4*x + 3*j = -235, 0 = -3*j - 3 - 0. Let t = x + -136. Let v = 116 + t. Is v prime? False Suppose -4874 = -4*r + 2*r. Is r composite? False Let i(b) = 1204*b**2 - b - 2. Let k be i(2). Is (-3)/(-5) - k/(-30) composite? True Let x be 1 + (-1 + 3)*1. Suppose -y - 2*a + 199 = -6*a, -3*y + 606 = -x*a. Is y a prime number? False Let x(w) = 119*w**3 + 9*w**2 - w - 5. Let y(v) = 79*v**3 + 6*v**2 - v - 3. Let m(i) = -5*x(i) + 8*y(i). Is m(2) composite? True Let n = -5 - -8. Suppose -116 + 497 = n*g. Is g prime? True Let u = 1 - -2. Suppose -q - 3*z + 18 = u, -q + 4*z = 13. Is q prime? True Is 2 + 2148 - (-1 + -2) composite? False Is 1/(-4) + (-123597)/(-36) a composite number? False Let g(o) = 3*o**2 + 10. Is g(-7) composi
{ "pile_set_name": "DM Mathematics" }
t is the closest to -1 in n, s, d? n Let c = -6576.7 + 6577. What is the nearest to -1 in c, 0.5, -10? c Let n = 8918 - 8916. Which is the nearest to -1? (a) -34 (b) 2/9 (c) n (d) 0.1 d Let p = -0.699 + 0.669. What is the nearest to p in -38, -4/3, -2/3? -2/3 Let w = -0.16246 - 0.63754. What is the nearest to -2/7 in w, -3, 4, -3/7? -3/7 Let s = 7.56 + -7.66. Suppose 5*l = -3*j - 30, l = 6*l + 15. What is the nearest to s in -8/5, j, 1? 1 Suppose -7*f - f = -137 - 23. What is the nearest to 0.2 in 3, -1, f, -2.5? -1 Let q = -0.1 - 0.1. Let m = 0.283 - 0.2672. Let l = 0.0158 - m. Which is the closest to 0.2? (a) q (b) 6 (c) l c Let z = 20 + -19.989. Let l = 0.011 - z. Let d = -0.7 + -0.3. What is the closest to l in -0.3, 2/5, d? -0.3 Let q be -15 + 8 + 183/27. What is the nearest to 3/2 in -2/7, -4, -5, q? q Let h = 2710 + -2710.1. What is the nearest to -2/5 in 17, h, 4, -3/5? -3/5 Let p be 3/(-10)*(-4)/(-3). Let x = 421039 - 421038.9. Which is the nearest to p? (a) x (b) 0.3 (c) 2/3 a Let t = 0.06 - 2.06. Let q = 13901 - 13897. What is the nearest to 0.1 in 5, t, q? t Let r = -2004 + 2004.3. Which is the closest to 1? (a) -4 (b) 0.7 (c) 5 (d) r b Suppose o = 4 + 1. Let k be (-5)/11 - (-3)/15*o. Which is the nearest to 0? (a) k (b) 1 (c) 3 a Let f = 3716 + -3717. Let i = -0.99 + -0.01. Let o = 1.1 + i. Which is the closest to -2? (a) o (b) 2/19 (c) f c Let v be 15/210*7*2/7. Let j = 2411/11 - 219. Which is the closest to 0.19? (a) 1 (b) -2/9 (c) v (d) j d Let o = -4810 - -19241/4. What is the closest to 6 in o, -21, -4, -0.5? o Let g = -720.2 + 719.9. Let m be (-2 - -1) + 8*4/(-8). What is the closest to -1 in m, g, 6, -2? g Let w be 4112/50*((-3)/(-2) - -1). Let k = w + -206. Let t be (-4 + -2)*(2 + -1). Which is the closest to t? (a) k (b) -0.5 (c) 1/4 b Let u = -0.6989 + -11.3011. What is the nearest to -19 in 0, u, 1? u Let s be (10/(-6))/((-2)/(-3)) + 13393/4994. Suppose 0*a = -2*a. What is the nearest to a in -0.09, s, -3/4? -0.09 Let q be (-2 + -4 - 2)/(-1 + 3). Let o = 121 - 120.933. Let t = -0.567 + o. What is the nearest to q in 1/12, t, 0.4? t Let r = 7.7 + -20.7. Let l = -13.5 - r. Which is the closest to -0.2? (a) l (b) 4 (c) -4 a Let l = -1.3004 - -89.3004. What is the closest to 2/9 in -2/7, 0.06, l? 0.06 Let d = 19.2 + -17.2. Let j = -1962 - -1962.1. What is the closest to j in 0.2, -10, d? 0.2 Let y = -0.06 + 1.06. Let u = 38.3 + -37. Let v = 0.9 - u. What is the nearest to y in -2/3, v, 0.4? 0.4 Let m = -6 - 0. Let d = 2.14 + 32.86. Let o = -35 + d. Which is the closest to m? (a) o (b) -2 (c) 0.1 b Let v = 510.06 + -516. Let i = v - -1.94. What is the nearest to -92 in -0.5, -3, i? i Let z be (6/(-4))/(-5 + -1). Let a = 103 + -617/6. Let y = 127/4 + -31. What is the closest to z in -0.3, a, y? a Let i = -10/7 + 11/7. Suppose 3*f - 17 = -4*t, -5*f - 13 - 2 = -2*t. Suppose -7*d = -5 + t. What is the closest to d in i, 0, -0.5? 0 Let d = -6.18 + -522.82. Let f = d - -534. Which is the closest to -0.1? (a) f (b) -5 (c) -4 c Let t = -2.5 - -2. Let u = -104036 - -104038. Which is the closest to u? (a) -2 (b) t (c) -5 b Let k be 2 + -1*(-2 - -1). Let x = -27.3 - -26. Let w be (-485)/9215*(-38)/(-2). Which is the closest to w? (a) -0.3 (b) x (c) k b Let h(p) = p**2 - 16*p - 159. Let s be h(-7). Which is the closest to 0? (a) s (b) -5.4 (c) 2/5 c Let c = -303883/37 + 8213. What is the closest to -9/17 in -0.4, 5, c? -0.4 Let n = -180 + 179.745. Let d = 0.255 + n. Let q = 3 - 2.6. Which is the nearest to 2/5? (a) d (b) q (c) 0.5 b Let k = -4402 - -4406. What is the closest to 13 in k, -2, 0.2, 0.4? k Let g = 91 - 90.6. Let v = -2/17 - -27/85. What is the closest to g in -1, -4/9, v? v Let s = -14776 + 103434/7. Which is the closest to s? (a) 1/8 (b) 2/53 (c) 0.04 a Let o = -22.496 - -21.996. Which is the closest to -2/5? (a) o (b) -1 (c) 1/36 a Suppose 13*q + 11 = -15. Let r be (-66)/(-44)*q/(-6). Which is the nearest to r? (a) 2/11 (b) -0.5 (c) 4 a Let t = -0.8 - -0.3. Let r = -2 - 46. Let b = r - -49. What is the nearest to b in t, -1/3, 0.2? 0.2 Let c = 2 - 2.1. Let v(n) = 2*n**3 + 35*n**2 - 24*n - 108. Let g be v(-18). What is the nearest to 3 in g, -4, c? g Suppose 5*s + 36 = -4*m + 9*s, 4 = 2*s. Which is the nearest to m? (a) 1 (b) 5 (c) -1/3 c Let h = -620.2 + 616.2. What is the nearest to 0 in -1, h, -2, 30? -1 Let w = 3293 + -3288. What is the nearest to 1 in 0.3, 1, w, 2? 1 Suppose -4*i = w + 279, 11 = -i + 2*w - 52. Let j = -206/3 - i. Let x be (-6)/(-4) - (-1)/2. What is the closest to j in 1/2, x, -3? 1/2 Let v be ((-7)/(-6))/7 - (-17)/(-30). What is the closest to -5/3 in 0.3, -0.02, v, 1/4? v Let v(o) be the first derivative of -o**2/2 - 11*o - 1. Suppose 0 = 101*g + 210 + 1305. Let k be v(g). Which is the nearest to 0.1? (a) 3/2 (b) k (c) -3/2 a Let d = 308 + -300. Suppose -12*g = -11*g + 4, -4*h - 2*g - 12 = 0. Let v = -0.1 - -4.1. Which is the nearest to h? (a) -4 (b) d (c) v a Let r = -11041 - -11040. What is the nearest to 0 in -32, -1/4, r, 4? -1/4 Let r be (-6)/(-63) + 12/(-28). Let u be ((-39)/(-390))/((-10 + 8)/((-5)/(-2))). What is the closest to 0.2 in u, -3/5, r? u Let m = -20 + 35. Let v be ((-15)/m)/((-3)/(-344)). Let u = v + 115. What is the nearest to u in -0.03, 2, -1? -0.03 Let h = -6029 - -6029.2. What is the nearest to 2/11 in -1, h, -0.5, -6? h Let k = -6 - -9. Let y be 1*-2 + 60/(-48)*(-1 + 9). Which is the closest to y? (a) -4 (b) -2/5 (c) k a Let i be -1 + ((-6)/9 - 20/6). Let j = 1794/257 + 931151/2056. Let q = -459 + j. Which is the closest to -1/4? (a) q (b) 0.4 (c) i b Let l be (-104)/(-40) - (-403)/(-130). Let x = 4.4 - 4. What is the closest to l in -0.1, x, -3/5? -3/5 Suppose 0 = -41*r + 43*r - 20. Let y = -2303 + 2303.1. What is the closest to y in -3/5, 2, r? -3/5 Let b be (952/147)/(-17)*(7 + 186/(-24)). What is the nearest to b in 5, -3/2, 4, -70? -3/2 Let l = -20 - -16.4. Let f = -57 - -107. Let k = f + -55. Which is the nearest to l? (a) k (b) -3/2 (c) 1 a Let r = -18.73 + -0.07. Let l = 18.5 + r. What is the nearest to 2/3 in 0.4, 0.5, l? 0.5 Let l = -0.42 - -0.02. Let p = -371.26 - 0.74. Let m = p + 370. Which is the nearest to m? (a) l (b) 2 (c) -3 c Let o = -522907/9 - -58101. Let l = 0.3 + 0.2. Which is the closest to -1? (a) l (b) 5 (c) o (d) -4 c Let j = -5.55 + 2.55. What is the nearest to -1/28 in j, 3/5, -0.1? -0.1 Let n(o) = 2*o - 24. Let w be n(11). Let d be ((-8)/(-132))/(w/6). Which is the nearest to 4? (a) 0.3 (b) d (c) 3/2 c Suppose -3*q - 6 = -2*q - 2*k, 5*q - k = 15. Suppose 0 = -426*j + 187*j. Which is the nearest to j? (a) q (b) 5/6 (c) -3 (d) 0 d Let p = -19.8 - -20.03. Let o = -0.33 + p. Which is the closest to o? (a) 2 (b) 3/4 (c) -3 b Let o = 1.422 + -1.022. What is the closest to 24 in 2/3, -0.04, o? 2/3 Let t = 0.038376 - -235.991624. Let o = -236 + t. What is the nearest to -1/5 in -4, o, 0.3? o Let r = -56/57 - -6/19. Let k = 81 + -81.4. Let j be (-2)/4*2/4. Which is the closest to j? (a) k (b) r (c) -5 a Let k(p) be the first derivative of -5*p**2/2 + 103*p - 153. Let y be k(21). Which is the closest to 2/7? (a) y (b) 5 (c) -8 (d) -1/6 d Let o = 29.1 + -30.1. Let r = -0.031 - 0.025. Let z = -0.056 - r. What is the nearest to 1/3 in o, 0.5, z? 0.5 Suppose -12 = -3*b + 2*d - 20, -3*d = 2*b + 1. Let z = -9.28 - -9. Let v = -0.02 + z. What is the closest to b in v, -4, 0.5? v Let r = -4108 + 4108.05. What is the nearest to -2/5 in 0, r, 2, 3/2? 0 Let z = -0.6123 + 0.4123. Suppose -6*f = -f + 10. Let g = 1 + f. What is the nearest to g in 4, z, 1? z Let r = -122 - -131.3. Let h = 4869.3 - 4861. Let z = r - h. What is the closest to -1 in z, -2/5, -1? -1 Let h = -1/1231 + 1233/2462. What is the closest to h in 0.05, -2/17, -1? 0.05 Let n = 0.627 + -0.657. What is the nearest to n in 5, -43, 1/4? 1/4 Let s = 0.38575 - 0.18575. What is the nearest to -1 in -96, 3, s, -0.3? -0.3 Let l be ((-154)/44 - -1) + (3 - (-1533)/54). Which is the closest to -0.1? (a) l (b) -0.4 (c) 3 b Let a = 5 - 5. Let f = -0.64 - 0.06. Let y be 34/561 - (-52)/231. What is the closest to a in 3, f, y? y Let s = -1099.5 + 1093.5. Let f = 13 + -12.5. What is the closest to s in f, 3, -
{ "pile_set_name": "DM Mathematics" }
. Let r = -888/5941 + -2/457. What is the second smallest value in o, r, 2/9? r Let i = -162.2 + 162. Which is the biggest value? (a) 3 (b) i (c) 0.07 a Let t = 177 + -179. What is the third biggest value in t, 2, 0.7? t Let o = 166 - 161. What is the fourth biggest value in -2/3, 42, 1/2, o? -2/3 Let f = 0.59 - 4.59. Which is the fourth smallest value? (a) 2 (b) f (c) 0.5 (d) -2 a Let w(s) = -3*s - 5. Let v be w(-3). Suppose b = -2 + v. What is the third biggest value in b, -4, -10? -10 Suppose 2*d + y = 6*d - 12, 0 = 4*d - 4*y. Let h = -849/11 + 77. Let o = -227 - -234. What is the second smallest value in h, o, d? d Suppose 2*v - 3*d = -11, -3*v = -6*v - d. Let k be 247/(-15) + -2 - v. Let h = k - -84/5. What is the second smallest value in -5/4, h, 4? h Let g(z) = 3*z + 35. Let x be (-3*(-16)/(-12) + 7)*-3. Let r be g(x). Which is the second biggest value? (a) -4 (b) -0.1 (c) r (d) 5 d Let p be 100/(-45)*3/(-5) - 1. What is the third smallest value in -3, 14/9, p? 14/9 Let o = 223 + -243. Which is the smallest value? (a) -2/3 (b) 0.4 (c) 2/17 (d) o d Let u(s) = -s + 1 + 2*s + 0*s. Suppose 2*w - 2 = w. Let j be u(w). Which is the second smallest value? (a) j (b) 0.3 (c) 1 c Let n = 3.99 + 0.01. Let r = 1551 - 1550. What is the smallest value in 0, r, n, 0.04? 0 Let o = -15 + 87. Let j be -1 + 0 - o/(-45). Let d be (-4 - (-148)/32)*-4. What is the second biggest value in -0.2, j, d? -0.2 Let q = 2 - 2.03. Let x = q - -0.23. Suppose -7*u - 6 = -4*u. Which is the third biggest value? (a) u (b) 4 (c) x a Let u = -191.2 + 217. Let k = u + 2.2. Let q = k + -28.1. What is the third biggest value in 0.8, q, -1/2? -1/2 Let d = 11804/5 - 2360. What is the fourth biggest value in -1, 3, d, 57? -1 Let q = 5.84 + -0.24. Let t = q + -5.7. Let d = -0.01 - -6.01. Which is the third smallest value? (a) t (b) d (c) 0.4 b Let c = -71 + 74. What is the smallest value in -0.01, -0.1, c? -0.1 Let j be 0 - (0 + 4/(-7)). Let b = -20.48 - -21. Let v = b + -1.02. What is the third biggest value in 0.4, v, j? v Let g(j) be the first derivative of 2*j**2 + 17*j + 5. Suppose -11 + 3 = 2*m. Let n be g(m). Which is the second biggest value? (a) n (b) -0.4 (c) 0.4 c Suppose -14*k + 3*k - 88 = 0. Let u = 2.8 - 2.4. What is the third smallest value in -0.2, u, 2, k? u Let t = 5722/211 + -2666113/93684. Let m = -1/148 - t. What is the biggest value in 1/7, m, 2/17? m Let w = -2.06 + 0.06. Let d(u) = -u**2 + 31*u - 208. Let i be d(10). Which is the third biggest value? (a) i (b) w (c) -2/13 b Let k = 0.2 + 0.8. Let v = -1.13 - 0.87. Let f = v - k. Which is the third biggest value? (a) f (b) -4 (c) -1 b Let v = -81 - -76. Let l = 6.1 + -6. Which is the smallest value? (a) v (b) 0 (c) l (d) -0.09 a Let l = -468.595 - -481.1. Let m = l - 0.105. Let z = -12 + m. Which is the biggest value? (a) z (b) 4 (c) 0 b Suppose -5*i + 6*i - 36 = -5*p, -i - 2*p + 21 = 0. Let m be i/(-20) + (13/(-4) - -4). What is the second smallest value in 2/25, m, 0, 0.6? 2/25 Let f be (5 - 2) + 389/(-129). Let m = -13/86 + f. Let b = 12 + -17. What is the third biggest value in m, b, -0.1? b Let p = -0.6 + -3.4. Let r = 361 + -359. Which is the second biggest value? (a) 4 (b) p (c) r (d) -0.5 c Let f = -5.2 + 4.8. What is the third biggest value in f, 5, -128? -128 Let j be 80/182 - 2/7. Let h = -15.05 - -15. Let o = h + -2.95. Which is the third biggest value? (a) j (b) 1 (c) o c Let i be (11/165)/((-4)/24). Let r = -12 + 21. Which is the smallest value? (a) 1/4 (b) i (c) r b Let r = -310.5 + 311. Which is the second smallest value? (a) r (b) 0.19 (c) 1/8 (d) 0.3 b Let w = 0.06 - 5.06. Suppose 5*d + 4*j - 46 = 0, 2*d + 3*j - 18 = j. Let v be -12 + d - (-9)/5. Which is the third biggest value? (a) -0.02 (b) v (c) w c Let u = 1.78 - 1.38. Suppose 4*v + 5*w = -v + 35, -2*w + 6 = -2*v. Let y(x) = -x**2 + 3*x - 1. Let l be y(v). What is the smallest value in 0, u, l? 0 Let r be (-5)/(-5) - (-1)/((-2)/12). What is the second smallest value in -3, r, -0.06? -3 Suppose 7*r = 17 + 18. What is the biggest value in 0.9, 1/6, r, -0.4? r Let z = 0.1 - 5.1. Let j(k) = -k**3 + 7*k**2 - 7*k + 6. Let n be j(6). Let m be n + 1 - (-44)/(-52). Which is the biggest value? (a) -1/5 (b) m (c) z b Let t = -121 + 176.5. Let z = -56 + t. What is the third biggest value in 0.5, z, 2/13, 0.1? 0.1 Let v = -1123 - -1120. What is the third biggest value in 1/3, v, -5, -0.2? v Let k = -53/3 - -221/12. Which is the third biggest value? (a) -6 (b) 5 (c) k a Suppose y - 2 = 3*s, -3*s - 8*y = -11*y. Which is the biggest value? (a) 1 (b) s (c) -7 a Let s = 8.77 + -8.57. What is the biggest value in -1.7, -5, s? s Let t be 4/(-26) - 20/208. Let j = 2/155 + 461/310. What is the smallest value in j, t, 1.8? t Let g = -1574 + 1573.9. Which is the third smallest value? (a) -3/2 (b) -49 (c) g c Let r = 57 + -56.73. Which is the smallest value? (a) -1/5 (b) -4 (c) -3 (d) r b Let w = -647 + 638. Which is the second biggest value? (a) -0.2 (b) 3/5 (c) w a Let c = -156 + 1402/9. Suppose 4*k = 3*k. Suppose 85*s - 92*s + 14 = 0. What is the second smallest value in k, s, c? k Let p = 0.38 - 3.48. Let q = p - -3. Suppose -u + 2 + 2 = 0. What is the second biggest value in u, q, -9? q Let j(z) = -z**3 - 5*z**2 + 10*z + 26. Let n be j(-6). Let s be -3 + (n - (-6)/9). What is the fourth biggest value in -1/5, s, 4, 5? s Let a = 145 - 144. What is the third biggest value in 0.2, 2, a, 4? a Let k = 0.005 + 0. Let h = -0.105 + k. Which is the biggest value? (a) 3 (b) -1 (c) h (d) -2 a Let k = 35/142 + 1/284. What is the smallest value in 9/8, 0.2, 2/11, k? 2/11 Suppose -118 = -11*s + 9*s. Let m = s + -63. Let p = 17/35 + -2/7. What is the second smallest value in m, 1, p? p Let c = 2228 - 2227.97. What is the third smallest value in c, -25, -0.4? c Let m(p) = -p**2 + 2*p + 5. Let j be m(-2). Let o = 1.8 - 2. Which is the third biggest value? (a) j (b) o (c) 1/7 a Let g be 2/8 - (-1)/(-12). Suppose i - 2*i - 1 = 0. Let q be ((-1)/5)/(i - 0). What is the second biggest value in g, 1, q? q Let r be (0 - 0) + (-1)/2. Let q = -27.09 - -27. Let l = q - 0.11. Which is the second smallest value? (a) l (b) -0.4 (c) r b Let p = 6.2 - 6.2. Let w = 0.048 + 0.052. What is the second biggest value in 1/5, p, w? w Let g = 2417 - 2417.09. Which is the second smallest value? (a) -2/9 (b) 2 (c) g c Suppose -15*t = -8*t + 42. Which is the third smallest value? (a) t (b) 0.1 (c) 1 c Let w be ((-20)/6)/(48/72). Let m = -10/9 + 8/9. Which is the biggest value? (a) w (b) m (c) 5 c Let r be ((-2651)/77 - 3/(-7)) + -3. Which is the second smallest value? (a) -0.4 (b) r (c) -2/11 (d) -0.3 a Let w = -325 + 328. What is the third biggest value in w, 0.45, -0.4? -0.4 Let h be (-3)/(-6) - (1 - 1/4). Which is the smallest value? (a) -0.5 (b) 1 (c) h a Let b = 47 - 49.2. Let r = b - -2.1. Let q = 3 - -2. What is the smallest value in r, q, 0.2? r Let f = -15.34 - -0.34. Let s = -14.7 - f. Let r = 7 - 3. What is the second biggest value in 1, s, r? 1 Suppose 0 = -4*k - 2*x - 6, -6*k - 4*x = -4*k. What is the third smallest value in k, 3, 2/15? 3 Let i = 103 - 78. Let k = i + -24.7. Which is the fourth biggest value? (a) 1 (b) k (c) 5 (d) -0.2 d Let h = -391/5 + 1193/15. Which is the third biggest value? (a) 242 (b) -1/4 (c) h b Let q = -49 + 45.9. Let u = q - -3.5. Which is the second smallest value? (a) -0.4 (b) -23 (c) u a Let f = 0.06 + -3.06. Let x(y) = -y**3 - y**2 - y. Let q be 2 + 1 + 9/(-3). Let j be x(q). Which is the biggest value? (a) 0.4 (b) f (c) j a Let m = 0.2287 - 0.1287. Suppose -w = -3*f - 4, 3*f = 2*w - 3 - 5. Let g = -2/3 - f. What is the smallest value in g, m, -1/2? g Let h be 8 + -2 - (1 - 0). Let p = 20.14 - 20. Let v = p + -0.54. Which is the second smallest value? (a) h (b) v (c) -0.2 c Let h = 14.78 + -15. Let n = h - -0.35. Let t = n + -0.13. What is the third smallest value in -1, -10/7, t? t Let o = 0.37 - -0.03. Let g = -946 + 946.1. What is the second smallest value in 5, g, o? o Let i = 105.5 - 105. Let m = 65 + -197/3. Which is the smallest value? (a) -3 (b) i (c) m a Let j = -7/12 - 1/12. Suppose 0 = x - 2*m - 7, -2*m + 0 - 3 = 3*x.
{ "pile_set_name": "DM Mathematics" }
62, 213, 264? 315 What comes next: -29, -118, -273, -500, -805? -1194 What is next in -335, -681, -1037, -1403, -1779, -2165, -2561? -2967 What comes next: -830, -818, -816, -830, -866, -930, -1028? -1166 What is the next term in -12, -35, -58? -81 What is the next term in -3956, -3960, -3964, -3968? -3972 What comes next: -4, -26, -78, -172, -320? -534 What comes next: -446, -1771, -3980, -7073, -11050, -15911? -21656 What is next in -96, -98, -98, -96, -92, -86? -78 What is the next term in -226, -908, -2048, -3646, -5702, -8216, -11188? -14618 What is the next term in -15, -12, -1, 24, 69, 140, 243? 384 What comes next: 112, 450, 1012, 1798, 2808? 4042 What is next in 68, 137, 206? 275 What is next in -14, -72, -168, -302, -474, -684, -932? -1218 What is the next term in 168, 184, 224, 300, 424, 608? 864 What is next in 6, 5, 10, 27, 62, 121? 210 What comes next: -86, -364, -838, -1508, -2374? -3436 What is the next term in 5, -8, -29, -58? -95 What is next in 10, 89, 206, 355, 530? 725 What is the next term in 15, 17, 33, 69, 131, 225? 357 What comes next: 34, 19, 4, -11, -26, -41? -56 What is next in -5395, -5397, -5399? -5401 What comes next: -31, -57, -85, -115? -147 What comes next: 84, 168, 252, 336, 420, 504? 588 What comes next: -103, -391, -877, -1567, -2467, -3583, -4921, -6487? -8287 What is next in 42, 86, 134, 186? 242 What is the next term in -1, 15, 31? 47 What is next in -13, -11, -9? -7 What is next in -4662, -4660, -4658, -4656? -4654 What is the next term in -309, -297, -261, -189, -69, 111, 363? 699 What is next in -38, -76, -114, -152, -190? -228 What is the next term in 14, 32, 30, 2, -58, -156? -298 What is the next term in 9, 52, 95, 138? 181 What is next in 240, 479, 718? 957 What comes next: 291, 298, 309, 324, 343? 366 What is next in -883, -1767, -2663, -3577, -4515? -5483 What comes next: -1615, -3220, -4825, -6430? -8035 What is the next term in -289, -289, -297, -319, -361? -429 What is next in -4, 3, 16, 35, 60, 91? 128 What is next in 10, 1, -36, -119, -266? -495 What comes next: 29, 110, 239, 410, 617, 854? 1115 What comes next: 51, 99, 147? 195 What comes next: 122, 195, 268, 341, 414, 487? 560 What comes next: -1090, -1089, -1088, -1087? -1086 What is the next term in -51, -98, -171, -264, -371? -486 What is the next term in 345, 344, 343? 342 What is next in 20, 34, 58, 98, 160, 250, 374, 538? 748 What comes next: 22, 56, 90, 124? 158 What is next in -33, -31, -19, 9, 59, 137, 249, 401? 599 What is next in 101, 102, 105, 110, 117? 126 What is next in 11, 36, 77, 134, 207, 296, 401? 522 What comes next: -67, -248, -551, -976, -1523, -2192, -2983? -3896 What is next in 10, 17, 28, 49, 86, 145, 232? 353 What comes next: -3180, -3187, -3194, -3201, -3208, -3215? -3222 What is the next term in -207, -198, -189, -180, -171? -162 What comes next: -27, -43, -73, -123, -199? -307 What comes next: 114, 228, 352, 492, 654, 844, 1068? 1332 What is next in -76448, -76449, -76450? -76451 What is next in -1, 38, 109, 218, 371, 574, 833, 1154? 1543 What comes next: -56, -207, -452, -791, -1224, -1751, -2372? -3087 What is the next term in 42, 87, 132? 177 What is next in 203, 577, 1193, 2045, 3127? 4433 What comes next: 165, 167, 169, 171? 173 What is the next term in -408, -420, -438, -462? -492 What comes next: 3, -2, -11, -24, -41? -62 What is the next term in 26, 49, 70, 89, 106, 121, 134? 145 What is next in 69, 66, 63, 60? 57 What is the next term in -137, -295, -461, -635, -817, -1007, -1205? -1411 What is the next term in -620, -619, -614, -599, -568, -515, -434? -319 What comes next: -153, -606, -1357, -2406, -3753, -5398, -7341? -9582 What comes next: 12, 10, 4, -6, -20? -38 What is next in -50, -194, -434, -770? -1202 What comes next: -56, -116, -176, -236? -296 What comes next: -1135, -1136, -1137, -1138? -1139 What comes next: 6, 12, 18, 24? 30 What is the next term in -75, -157, -235, -309, -379, -445, -507? -565 What comes next: -635, -1268, -1901, -2534? -3167 What is next in 261, 258, 253, 246, 237, 226? 213 What is next in 9, 11, 13, 15, 17? 19 What comes next: 12786, 12782, 12776, 12768, 12758, 12746, 12732? 12716 What comes next: 122, 121, 120? 119 What comes next: 33, 21, -13, -81, -195? -367 What comes next: 33, 37, 41? 45 What comes next: -152, -305, -448, -575, -680, -757, -800, -803? -760 What is the next term in -22, -63, -118, -193, -294, -427? -598 What is next in 730, 725, 720, 715? 710 What comes next: -182, -180, -178, -176, -174? -172 What comes next: 804, 818, 846, 894, 968, 1074, 1218? 1406 What comes next: -181, -1404, -4725, -11194, -21861, -37776, -59989, -89550? -127509 What is next in -331, -277, -187, -61, 101? 299 What is the next term in 1, 5, 11, 19, 29? 41 What comes next: 11, -15, -53, -97, -141, -179, -205? -213 What comes next: 4, 12, 16, 10, -12, -56? -128 What is next in -2, 3, 10, 19? 30 What comes next: 15, 57, 123, 213, 327, 465, 627? 813 What is next in -166, -177, -202, -247, -318, -421? -562 What comes next: -714, -722, -734, -750, -770? -794 What is the next term in 71, 141, 209, 275, 339, 401? 461 What comes next: 31, 27, 21, 13, 3, -9? -23 What is next in -1653, -1657, -1663, -1671, -1681, -1693? -1707 What is the next term in -2, 35, 90, 157, 230, 303, 370? 425 What is the next term in 22, 86, 194, 346, 542? 782 What is next in -7203, -7199, -7193, -7185? -7175 What is the next term in -1, 0, 3, 8? 15 What is the next term in 114, 225, 336? 447 What is next in -1226, -1240, -1262, -1292? -1330 What is the next term in -122, -134, -148, -158, -158, -142, -104? -38 What is next in 2550, 2549, 2548, 2547? 2546 What is next in -204, -389, -574? -759 What is next in 2172, 2153, 2118, 2061, 1976, 1857, 1698? 1493 What comes next: -56, -115, -176, -239, -304? -371 What is next in 2902, 2908, 2926, 2962, 3022, 3112? 3238 What is the next term in 63, 62, 59, 54? 47 What comes next: 22, 39, 56, 73? 90 What comes next: -151, -148, -121, -58, 53, 224, 467, 794? 1217 What is the next term in -22243, -22242, -22241, -22240? -22239 What is next in 83, 189, 367, 617, 939? 1333 What is the next term in -22, -54, -86, -118, -150? -182 What comes next: -4, -23, -52, -91, -140? -199 What is the next term in -84, -157, -196, -183, -100? 71 What is the next term in 10, 7, 0, -11, -26, -45, -68? -95 What is the next term in 526, 543, 572, 613? 666 What comes next: -34, -85, -164, -265, -382, -509? -640 What is the next term in -6249, -6250, -6251? -6252 What is the next term in 30, 61, 92, 123? 154 What is the next term in 56, 60, 64? 68 What comes next: 488, 976, 1464? 1952 What comes next: 22, 91, 212, 391, 634? 947 What comes next: -129, -126, -125, -126? -129 What comes next: -275, -549, -823, -1097, -1371, -1645? -1919 What is next in -580, -582, -584, -586? -588 What is next in 40, 155, 348, 619? 968 What comes next: -45, -38, -31? -24 What is the next term in 33, 51, 67, 81, 93? 103 What comes next: -36, -73, -110? -147 What is next in 27, 58, 123, 240, 427, 702, 1083, 1588? 2235 What comes next: -1314, -1316, -1318? -1320 What comes next: 3272, 3274, 3276, 3278? 3280 What is next in 431, 398, 343, 266? 167 What comes next: 33, 32, 29, 24? 17 What is next in -411, -817, -1213, -1593, -1951, -2281, -2577? -2833 What is the next term in -13928, -13929, -13930, -13931, -13932? -13933 What comes next: 726, 1453, 2180? 2907 What is the next term in -10, 6, 46, 116, 222? 370 What comes next: -22, 36, 118, 236, 402, 628? 926 What is next in -1203, -2422, -3659, -4920, -6211, -7538? -8907 What is next in -486, -975, -1464, -1953, -2442? -2931 What comes next: -12, -8, -4, 0, 4? 8 What comes next: 49, 97, 145, 193, 241, 289? 337 What is the next term in 255, 533, 821, 1119, 1427, 1745, 2073? 2411 What is the next term in 1, -31, -71, -119, -175, -239? -311 What comes next: -674, -662, -644, -620, -590, -554, -512? -464 What comes next: 8, 26, 46, 68, 92, 118? 146 What comes next: 20, 22, 24? 26 What is the next term in -10, -19, -26, -31, -34, -35, -34? -31 What is the next term in 24, 10, -4, -18, -32? -46 What is the next term in -269, -271, -273, -275, -277, -279? -281 What is next in -141, -158, -195, -258, -353, -486, -663, -890? -1173 What is next in 53, 202, 443, 770, 1177,
{ "pile_set_name": "DM Mathematics" }
ative of -q*i**2 - i**4 + 0*i**4 - 4*i**4 wrt i? -120*i Let p(x) = -15*x**4 + 13*x**2 - 7. Let a(d) = 7*d**4 - 6*d**2 + 3. Let u(y) = -7*a(y) - 3*p(y). Find the third derivative of u(n) wrt n. -96*n Let b(n) = n**3 - 6*n. Suppose 3*o = -v + 18, 0*v - 11 = -o - 2*v. Let h(g) = o*g + 6 - 6. Let d(i) = 2*b(i) + 3*h(i). Find the second derivative of d(r) wrt r. 12*r Let p(q) = 1. Let n(x) = x. Let t be n(-1). Let o(v) = 3*v**2 - v - 3. Let d(c) = t*o(c) - 3*p(c). What is the second derivative of d(h) wrt h? -6 Find the first derivative of -7 - 6 + 3*c**4 - 20*c**4 - 2 wrt c. -68*c**3 Let i(g) be the first derivative of -8*g**3 - 19*g**2/2 - 36. What is the second derivative of i(b) wrt b? -48 Find the second derivative of 11*r - 23*r**3 - 197 + 197 wrt r. -138*r Let b(p) = -p**6 + p**5 - p**2. Let a(q) = -16*q**6 - 9*q**5 + 23*q**2. Let y(d) = 2*a(d) + 18*b(d). Find the third derivative of y(x) wrt x. -6000*x**3 Let l(h) = h**4 - h**3 + h. Let q(n) = -21*n**4 - n**3 + n - 13. Let b(c) = l(c) - q(c). Differentiate b(m) wrt m. 88*m**3 Let o(p) = 2*p**2 - 1. Let w = 8 + -6. Let g(i) = 1 - 1 - 3 + 3*i**w. Let m(d) = -3*g(d) + 5*o(d). Differentiate m(k) with respect to k. 2*k Suppose 30 = 5*l - 0*l. Let d be (-4)/l + (-66)/(-18). What is the second derivative of -3*o - o**d + 2*o + 2*o wrt o? -6*o What is the third derivative of 4*k**2 + 4*k**3 + 4*k**6 - 16*k**2 - 4*k**3 wrt k? 480*k**3 Let k(n) be the second derivative of n**6/120 + n**4/12 - n**3/6 - 4*n. Let b(o) be the second derivative of k(o). What is the derivative of b(a) wrt a? 6*a Let m(s) be the third derivative of s**8/1680 - s**5/20 - 7*s**3/6 + 6*s**2. Let y(h) be the first derivative of m(h). Find the second derivative of y(o) wrt o. 12*o**2 Differentiate 3 + 15*d**2 - 4*d**2 + 5 wrt d. 22*d Suppose 0 = -2*w - 3*w + 10. Let g(d) be the second derivative of -d - 1/6*d**4 + 0*d**3 - 1/2*d**w + 0. Differentiate g(q) with respect to q. -4*q Let x(b) = b**2 - 6*b + 3. Let s be x(6). Suppose f - 9 = -2*f - s*l, -5*l = -4*f + 12. Find the second derivative of 3*p + p**2 - f*p + 2*p wrt p. 2 Let l = -13 + 15. What is the third derivative of 6*a**2 + 70*a**6 + 2*a**l - 75*a**6 wrt a? -600*a**3 Let u(o) be the first derivative of o**5 - 3*o + 5. Find the first derivative of u(q) wrt q. 20*q**3 Suppose -7*h - 34 = -34. Let g(r) be the third derivative of 0 + 0*r + 1/60*r**6 + 2*r**2 + h*r**5 + 1/6*r**3 + 0*r**4. Differentiate g(y) wrt y. 6*y**2 Let x(k) be the third derivative of 3*k**5/5 + 5*k**4/6 + 18*k**2. What is the second derivative of x(m) wrt m? 72 Suppose -6*f + f + 30 = 0. Find the third derivative of 3*n**f - 4*n + 4*n + 2*n**2 - 2*n**6 wrt n. 120*n**3 Find the second derivative of -16*h**3 + 75*h + h**3 - 26*h wrt h. -90*h Let y(c) = -c**4 - c**3 + c + 1. Let z(v) = -2*v**4 + 0*v**3 + 0*v**4 + 5*v**3 - 9 - 5*v. Let x(k) = 5*y(k) + z(k). Differentiate x(f) with respect to f. -28*f**3 Differentiate 155*h**2 - 29*h**4 - 36 - 155*h**2 wrt h. -116*h**3 Let s be -2 - -3 - -2*1. Suppose -4*k - 3*p = -s*k - 9, -2*k = 3*p - 12. Differentiate -4*h**3 + 3 - h**k + 2*h**3 wrt h. -9*h**2 Let a(j) be the second derivative of -7*j**5/20 - 3*j**3/2 + 3*j. What is the second derivative of a(x) wrt x? -42*x Suppose -g = g. What is the first derivative of 3 + g*u + u + 0 + 1 wrt u? 1 Suppose -2*p + 3 = c - 0, 9 = 4*p - c. Suppose -5*z - 4*l = 0, -z - 3*z + 5*l = 0. What is the second derivative of y + 2*y + z*y + p*y**2 wrt y? 4 Let h(n) = -28*n**4 - 4*n**2 + 29*n + 4. Let c(v) = 27*v**4 + 3*v**2 - 29*v - 3. Let o(k) = 4*c(k) + 3*h(k). What is the second derivative of o(t) wrt t? 288*t**2 Let h = -8 + 14. Find the second derivative of h*p - 8*p + 5*p**3 - 3*p**3 wrt p. 12*p Let g(z) = z**3 - 5*z**2 + 6*z - 4. Let d be g(4). Suppose -y - y = -d. Find the second derivative of -4*w + 2*w**3 + y*w - 3*w**3 wrt w. -6*w Let m = 9 - 5. Suppose -7 = -m*j + 5. What is the derivative of a**4 - a**3 + a**j - 1 wrt a? 4*a**3 What is the second derivative of 7*i + 0*i**2 + i**2 - i**2 + 2*i**3 wrt i? 12*i Let c(u) be the second derivative of -5*u**4/12 - 17*u**3/6 - 23*u. Find the second derivative of c(m) wrt m. -10 What is the derivative of -3*g**4 + 3 - 4*g**4 + 3*g**4 - 3*g**4 wrt g? -28*g**3 Let x(o) = 5*o**3 - 3*o**2 + 5. Let m(q) = -1. Let n(r) = 10*m(r) + 2*x(r). What is the third derivative of n(p) wrt p? 60 Let l(h) = h**2 - 9*h + 9. Let c be l(8). Suppose 3*d = y + c, 2 = 3*d - 0*d - 2*y. Find the second derivative of 2*f**2 + d*f - f - f**2 - f wrt f. 2 Let a(u) = u**3 - u. Let p(i) = -20*i**3 - i + 22. Let m(y) = a(y) - p(y). Find the first derivative of m(n) wrt n. 63*n**2 Let a(l) be the second derivative of -l**6/60 - l**4/8 + 2*l**2 - l. Let y(i) be the first derivative of a(i). Find the second derivative of y(g) wrt g. -12*g Suppose -3*j + 9 = -4*d + 44, -3*j = 3*d. Suppose -d*s + 26 - 6 = 0. What is the third derivative of 0*g**s - 5*g**2 + 3*g**2 - g**4 wrt g? -24*g Suppose -6 = 2*f - 8. Let t(q) be the first derivative of -f + 3/4*q**4 + 0*q**3 - 1/2*q**2 + 0*q. Find the second derivative of t(h) wrt h. 18*h Let h(v) = -17*v**3 - 6*v**2 + 13*v + 6. Let n(g) = -35*g**3 - 13*g**2 + 27*g + 13. Let q(a) = -13*h(a) + 6*n(a). What is the second derivative of q(y) wrt y? 66*y Let j(v) = -40*v**3 + 81*v**2. Let k(o) = 13*o**3 - 27*o**2. Let r(d) = -2*j(d) - 7*k(d). What is the third derivative of r(w) wrt w? -66 Let l(j) be the first derivative of 23*j**6/6 - 6*j**3 + 11. What is the third derivative of l(c) wrt c? 1380*c**2 Let f(w) = w**4 + 29*w**3 + 52. Let z(s) = 3*s**4 + 59*s**3 + 103. Let l(q) = 7*f(q) - 3*z(q). Differentiate l(x) wrt x. -8*x**3 + 78*x**2 Let x(o) be the second derivative of -o**5/5 - 3*o**2/2 - 4*o. What is the derivative of x(y) wrt y? -12*y**2 Let x = 1 + 4. Let z(g) be the second derivative of 0*g**3 + 1/12*g**4 + 0 + 0*g**x - 1/15*g**6 + 0*g**2 - 2*g. Find the third derivative of z(r) wrt r. -48*r Let q be -2 - -1*(-1 - -3). Suppose q*h - 2*h - 3*c + 8 = 0, -5*h + c = -20. Find the third derivative of -y**5 + 3*y**5 + 3*y**2 - h*y**2 wrt y. 120*y**2 Let v be 4/(-3) - 68/(-24). Let s(h) be the second derivative of 0*h**4 - v*h**2 + 0*h**3 + 0*h**5 + 0 + 3*h + 1/15*h**6. What is the derivative of s(p) wrt p? 8*p**3 Let y(f) be the third derivative of f**8/336 + f**4/24 - f**3/3 - 2*f**2. Let g(t) be the first derivative of y(t). Find the first derivative of g(n) wrt n. 20*n**3 What is the third derivative of -2*a**2 - 32*a**6 + 62*a**6 - 34*a**6 wrt a? -480*a**3 Suppose -2*d + 5 + 5 = 0. Find the second derivative of d*m**3 + 4 - 4*m - m - 4 wrt m. 30*m Let a = -4 - -10. Let c(s) be the first derivative of -1/2*s**2 + 0*s**4 + 0*s - 1/6*s**a + 1 + 0*s**3 + 0*s**5. What is the second derivative of c(i) wrt i? -20*i**3 Differentiate 18*w**4 + 9 + 79*w**3 - 79*w**3 with respect to w. 72*w**3 Suppose 3*i + 4 = 5*i. Suppose m + 1 = -3*k + 16, -5*k + 42 = -4*m. Find the third derivative of a**k - 6*a**6 + a**2 + 4*a**6 - 4*a**i wrt a. -120*a**3 Let m = 7 - 3. Let o(r) = -r**3 + 3*r**2 + 6*r - 4. Let d be o(m). What is the third derivative of -2*j**d - 2*j**6 + j**2 + 2*j**4 wrt j? -240*j**3 Let m(t) be the second derivative of 7*t**5/20 - t**3/6 - t. Find the second derivative of m(s) wrt s. 42*s Let r(b) = 3*b - 3. Let a be r(3). Let u = a - 4. What is the derivative of u + 4*d**4 - 4 - 2*d**4 - 1 wrt d? 8*d**3 Let t(h) be the third derivative of -h**6/360 + h**5/40 + h**3/6 - h**2. Let l(i) be the first derivative of t(i). What is the second derivative of l(u) wrt u? -2 Let c(i) = 140*i**4 + 20*i**3 - 20*i**2 - 84. Let a(u) = 20*u**4 + 3*u**3 - 3*u**2 - 12. Let n(x) = -20*a(x) + 3*c(x). What is the derivative of n(s) wrt s? 80*s**3 Suppose 3*s - 3*q + 40 = 142, -35 = -s + 2*q. Find the second derivative of 40*i - 4*i**4 - s*i + 8*i**4 wrt i. 48*i**2 Let g be 0 + 1 - (5 - 6). What is the second derivative of 3*u**4 - u + 0*u + g*u wrt u? 36*u**2 Let f(g) = 40*g - 51. Let x(r) = -1. Let l(a) = f(a) - 3*x(a). Find the first derivative of l(q) wrt q. 40 Suppose -3*p + 1 = -5. What is the third derivative of o**6 - 3*o**2 + 0*o**p + 0*o**2 wrt o? 120*o**3 Let f(o) be the first derivative of -o**6/6 - o**3/3 - 40. What is the third derivative of f(g) wrt g? -60*g**2 Let p = 2 - 0. S
{ "pile_set_name": "DM Mathematics" }
z) = -12*z**2 - 9. Let k(f) = 6*f**2 + 5. Let c(i) = 9*k(i) + 5*y(i). Let v(d) be the first derivative of d**3/3 + 1. Calculate v(c(s)). 36*s**4 Let u(z) = z**2 + 431*z. Let q(i) = 10*i. What is q(u(g))? 10*g**2 + 4310*g Let c(y) = -y - 12. Let r(b) = 3*b**2 + 1. Calculate r(c(d)). 3*d**2 + 72*d + 433 Let n(t) = -3*t**2. Let s(o) be the first derivative of -10*o**3/3 + 17. Give s(n(x)). -90*x**4 Let s(q) = q. Let w(d) = -7*d - 8*d - 4*d + 15*d. Determine s(w(m)). -4*m Let y(q) = -5*q**2. Let w(c) be the second derivative of -7*c**3/6 + 19*c. What is w(y(k))? 35*k**2 Let b(f) = -f. Let z(i) = -6*i**2. Give z(b(y)). -6*y**2 Let b(c) = -6*c - 4. Let v(w) = -7*w - 5. Let o(l) = 5*b(l) - 4*v(l). Let g(f) = 2*f + 17. Calculate o(g(z)). -4*z - 34 Let a(g) = -g**2. Let t(m) = 2*m. Calculate t(a(s)). -2*s**2 Let c(j) = 2*j**2. Let k(l) = -5*l + 16*l + 0*l - 6*l. What is c(k(f))? 50*f**2 Let q(d) = d**2. Suppose -p + 8 = 2*r, 3*r - p - 8 = r. Suppose m - 4 = -r*n + n, -2*m - 13 = -n. Let k(s) = -3 + 0 + n + s. Give q(k(x)). x**2 Let m(n) = -2*n**2. Let v(f) = -9*f**2. Let c(b) = 3*b**2. Let s(r) = -7*c(r) - 2*v(r). Determine s(m(q)). -12*q**4 Let l(z) be the second derivative of 0*z**3 + 0 - z + 0*z**2 + 1/6*z**4. Let q(r) = -4*r. Determine l(q(y)). 32*y**2 Let h(k) = -7*k. Let o(f) = 6*f - 2. Calculate o(h(c)). -42*c - 2 Let r(z) = 2*z. Let b(u) be the second derivative of 1/2*u**2 - 1/20*u**5 - 3*u + 0 + 0*u**3 + 0*u**4. Let d(f) be the first derivative of b(f). Give r(d(x)). -6*x**2 Let o(b) = -2*b**2. Let a(f) = 18*f**2 - 10*f**2 - 16*f**2. Determine a(o(j)). -32*j**4 Let y(k) = 40*k. Let o(j) = -51*j. Determine o(y(w)). -2040*w Let t(d) = 12*d**2 + 5*d. Let l(h) = h. Let b(q) = -5*l(q) + t(q). Let x(r) = -3*r. Give x(b(n)). -36*n**2 Suppose d = -a + 3*d - 2, -4*a + 5*d - 8 = 0. Let y be (-1)/(a*(-2)/(-20)). Let b(i) = 7 + 2*i**2 - y - 2. Let o(g) = 3*g**2. Give b(o(u)). 18*u**4 Let a(p) = 2*p**2 + 0*p**2 - 3*p**2. Let b(q) = 2*q**2 - 3. Suppose 3*o = -0 + 9. Let g(k) = 2*k**2 - 2. Let y(l) = o*g(l) - 2*b(l). What is y(a(m))? 2*m**4 Let t(f) be the second derivative of -f**4/6 + 8*f. Suppose -c - 2*q = 7, q - 4 = -2*c - 3. Let g(u) = c*u - 3*u + 2*u. Determine t(g(d)). -8*d**2 Let x(c) = 15*c**2. Let k(v) = -3*v + 2*v + 2*v - 3*v. Calculate k(x(j)). -30*j**2 Let s(y) = y - 252. Let a(o) = 4*o + 8. Give a(s(f)). 4*f - 1000 Let b(k) = 2*k. Let i(t) = -9*t + 6. Give b(i(l)). -18*l + 12 Let c(a) = -16*a. Let g(n) = -n + 9. Let s(z) = 1. Let y(t) = -4*g(t) + 36*s(t). Calculate c(y(x)). -64*x Let q(t) = 16*t. Let o(g) = -1139*g. Determine q(o(d)). -18224*d Let a(j) = 2*j. Let f be 3/(-6) + (-3)/(-2). Let k(y) = -1 - 3*y + f. Give a(k(w)). -6*w Let f(b) = 3*b**2 + 2*b**2 + 0*b**2 - 2*b**2. Let i(u) be the second derivative of -u**4/12 + 3*u. What is f(i(y))? 3*y**4 Suppose 3*x = -3*q + 4 - 1, -2*x = 2. Let w(b) = -2*b**2 + 5*b**2 - q*b**2. Let s(u) = u**2. What is w(s(j))? j**4 Let h(b) be the first derivative of -b**5/60 - 3*b**3 - 8. Let u(m) be the third derivative of h(m). Let y(n) = -18*n**2. Give y(u(w)). -72*w**2 Let s(d) = 6*d**2. Let n = -4 - -6. Let x(g) = -4 + 2 - g**2 + n. Determine x(s(a)). -36*a**4 Let t(b) = b. Let m(y) = -14376*y**2 - 1. Calculate t(m(j)). -14376*j**2 - 1 Let x(w) = 16*w**2. Let q(t) = 22*t. Calculate q(x(d)). 352*d**2 Let l(d) = -2*d. Let w(z) be the first derivative of -z**2/2 - 13. Calculate w(l(y)). 2*y Let a(w) = -w**2. Let d(h) = -h**2 - 19*h + 2. Let x be d(-19). Let z(r) be the second derivative of 0 - 1/3*r**3 - 3*r + 0*r**x. What is a(z(m))? -4*m**2 Let l(d) = -150*d**2. Let q(i) = -5*i. Calculate q(l(n)). 750*n**2 Let g(h) = 0*h - h + 12*h**2 - 2*h**2 + 8*h**2. Let r(x) = 2*x**2. Give g(r(d)). 72*d**4 - 2*d**2 Let g(t) be the third derivative of t**5/30 - 5*t**2. Let s(r) = r**2 + r + 1. Let k(x) = x + 1. Let l(c) = -2*k(c) + 2*s(c). Calculate g(l(v)). 8*v**4 Let b(o) = -5*o**2 - 21. Let h(w) = -w. Determine b(h(t)). -5*t**2 - 21 Let f(z) = -292*z. Let o(y) = -3*y**2. What is f(o(c))? 876*c**2 Let y(x) = 3*x**2 - 9*x**2 - 6*x**2. Let h(b) = 6*b. Determine h(y(r)). -72*r**2 Let c(j) = -33*j. Let z(n) be the second derivative of -n**4/12 + 32*n. Give c(z(i)). 33*i**2 Let u(m) be the third derivative of 0 + 0*m**3 - 1/60*m**5 - 2*m**2 + 0*m + 0*m**4. Let t(h) = 3*h. Calculate u(t(b)). -9*b**2 Let l(k) be the second derivative of -4*k + 0*k**2 + 0 + 1/3*k**3. Let c(i) = -4*i. What is c(l(q))? -8*q Let c(n) = -713*n + 69. Let m(d) = 21*d - 2. Let i(b) = -2*c(b) - 69*m(b). Let k(h) = -2*h**2. What is i(k(a))? 46*a**2 Let y(k) = -k. Let w be (-56)/72 + 2/(-9). Let n(q) = -4*q**3 - q**2 + q + 1. Let t be n(w). Let x(g) = t*g - 3*g + 5*g. What is y(x(b))? -5*b Let p(t) = 10 - 8*t - 4 - 6. Let m(l) = -l. Let w(u) = -18*m(u) + 2*p(u). Let o(a) = 2*a**2. What is w(o(d))? 4*d**2 Let v be -5*(2 + (-14)/5). Let s(f) = -v + 3*f + 4. Let u(h) be the second derivative of -h**3/3 + 4*h. Determine u(s(i)). -6*i Let l(u) = -3*u**2 + 15*u. Let z(t) = t. Let j(x) = -l(x) + 15*z(x). Let c(n) = 9*n. Determine c(j(a)). 27*a**2 Let c(u) be the third derivative of u**5/60 - 22*u**2 - 2. Let r(t) = 124*t**2. Give r(c(f)). 124*f**4 Let v(t) = 5*t. Let d(f) = 3*f**2. Let h(m) = 20*m**2. Let u(q) = 15*d(q) - 2*h(q). Determine v(u(b)). 25*b**2 Let i(y) = 3*y**2. Let g = -10 + 12. Let t(a) = -13*a**g + 3*a**2 + 8*a**2. What is i(t(p))? 12*p**4 Let r(l) = 2*l. Let y(s) = -5*s. Let m(i) = -8*r(i) - 3*y(i). Let q(t) = 6*t**2. Calculate m(q(u)). -6*u**2 Let y(p) = -2*p**2. Let w(s) = 32802*s. Calculate w(y(z)). -65604*z**2 Let w(d) = -7*d. Let o(j) be the first derivative of -j**3/3 + 7. Give o(w(a)). -49*a**2 Let x(w) = -w. Let k(i) = 3*i. Let f(q) = 3*k(q) + 6*x(q). Let o(b) = -b. Calculate f(o(j)). -3*j Let q(x) = 2*x. Let k(b) be the second derivative of -5*b**4/12 - 7*b. Give q(k(v)). -10*v**2 Let x(c) be the second derivative of c**3/3 - 2*c. Let d(t) be the third derivative of 0 + 0*t**4 + 1/30*t**5 - 2*t**2 + 0*t + 0*t**3. Calculate x(d(g)). 4*g**2 Let j = 10 - 4. Let z(q) = q. Let m(k) = k. Let w(t) = j*m(t) - 7*z(t). Let g(b) = b + 0*b + b. What is w(g(l))? -2*l Let j(v) = -15*v**2 - 24*v - 24. Let k(u) = -3*u**2 - 5*u - 5. Let t(r) = -5*j(r) + 24*k(r). Let n(c) = 5*c**2. What is n(t(g))? 45*g**4 Let b(h) = -h**2. Suppose 2*x = -5*a + 15, -2*x + 0*x + a = 3. Let k(m) be the first derivative of 0*m + x*m**2 + 2/3*m**3 + 3. Calculate b(k(j)). -4*j**4 Let g(h) = 2*h**2. Let q(r) = 6*r**2 - 566. What is g(q(k))? 72*k**4 - 13584*k**2 + 640712 Let o(a) = -a. Let j(m) = 6*m - 52. Determine j(o(r)). -6*r - 52 Let p(f) = -138 - 7*f**2 + 138 + 3*f**2. Let i(z) = -3*z**2. Give p(i(w)). -36*w**4 Let q(j) be the first derivative of -2*j**3/3 + 6. Let i be 1 - 1 - -3*1. Let b(k) = i*k + k - 2*k. What is b(q(z))? -4*z**2 Let z(y) = -5*y**2. Let h(m) = 4 + 2*m**2 - 4 + 0. Let v(w) = 13*h(w) + 6*z(w). Let r(u) = -u. Give v(r(q)). -4*q**2 Suppose -4*r + 6 = -5*q, -5*r + 31 = 11. Let y(h) be the third derivative of -1/30*h**5 + 0*h + 0 + 0*h**4 + 2*h**q + 0*h**3. Let b(n) = -n. What is y(b(w))? -2*w**2 Let h = -8 + 14. Let g(b) = h*b - 74 + 74. Let u(q) be the second derivative of q**3/6 + q. What is g(u(c))? 6*c Let l(g) = -5*g + 4*g + 2*g + g. Let m(v) = 4*v - 2*v + v - v. Determine l(m(x)). 4*x Let y(d) = 0 - 60*d**2 + 56*d**2 + 0. Let o(c) = c**2. Determine y(o(m)). -4*m**4 Let x = -11 - -16. Let m(l) = -2*l**2 - 5*l. Let t(d) = 2*d**2 + 4*d. Let h(b) = x*t(b) + 4*m(b). Let k(v) = -7*v. Calculate k(h(i)). -14*i**2 Let h(z) = -12*z. Let k(d) = 3*d**2 + 2. Let r(y) = 4*y**2 + 3. Let x(o) = -6*k(o) + 4*r(o). What is h(x(s))? 24*s**2 Let d(f) = f. Let w(l) = -9*l**2 + 6*l + 6. Let s(c) = c**2 - c - 1. Let t(m) = 6*s(m) + w(m). Determine t(d(r)). -3*r**2 Let s(b) = -b + 187. Let t(g) = -g**2. Give s(t(o)). o**2 + 187 Let f(t) = 6*t**2. Let n(o) be the third derivative of -8*o**2 + 1/60*o**5 + 0*o**3 + 0*o**4 + 0*o + 0. Give n(f(q)). 36*q**4 Let w(a) = 2*a. Let n(k) = 47*k. Give n(w(t)). 94*t Suppose 0 = -0*z + 4*z - 8, -3*z = 2*k - 36. Suppose -5*l + k = 5. Let u(n) = n**l + n - n. Let v(d) = -d. What is u(v(b))? b**2 Let z(t) = 9*t - 4. Let w(r) = -2*r + 7. Give z(w(f)). -18*f + 59 Let p(z) = -3. Let s(q) = -q - 1. Let r(b) = p(b) - 3*s(b). Let f(i) = 23
{ "pile_set_name": "DM Mathematics" }
4 - 2 Let z(d) = -d + 198. Let y(q) = -q. Give y(z(m)). m - 198 Let h(u) be the second derivative of -11*u**3 + 26*u. Let g(q) = -q**2. Give g(h(r)). -4356*r**2 Let s(p) = 3*p**2. Let m(u) be the first derivative of -u**3 - 2. Determine s(m(f)). 27*f**4 Let k(r) = -56*r**2 + r. Let l(o) = 6*o. What is l(k(b))? -336*b**2 + 6*b Let b(t) = -t**2. Let h(x) = x**2 + 3*x - 18. Let q be h(3). Let g(v) be the first derivative of q*v**2 - 2 + 2/3*v**3 + 0*v. Calculate b(g(m)). -4*m**4 Let l(w) = 4649*w + 1. Let x(f) = -3*f. Calculate l(x(o)). -13947*o + 1 Let x(c) = -4*c**2. Let t = -2 - -4. Let z be 0/1 - -1*2. Let v(g) = -2*g**z + 0*g**t + g**2. Give v(x(l)). -16*l**4 Let g(u) = 50*u. Let k(p) = 7*p**2. What is k(g(m))? 17500*m**2 Let r(b) = -7*b**2. Let a(d) = 607*d. Determine r(a(c)). -2579143*c**2 Let g(a) be the first derivative of 2*a**2 - 3*a + 3. Let s(r) = 5*r - 4. Let c(o) = -4*g(o) + 3*s(o). Let v(b) = 5*b**2. Give v(c(l)). 5*l**2 Let h(f) = -f. Let x(t) be the third derivative of 7*t**5/60 + 7*t**2. Calculate h(x(d)). -7*d**2 Let o(b) = 26*b + 7. Let n(i) = 17*i + 5. Let t be (-184)/(-40) - (-2)/5. Let w(l) = t*o(l) - 7*n(l). Let x(k) = -k. Determine x(w(d)). -11*d Let w(f) = 3*f. Let a(j) = -13*j. Let z(s) = 6*a(s) + 22*w(s). Let q(r) = r. Calculate z(q(y)). -12*y Let n(q) = -q**2. Let r(k) = -2 + 2 + 39*k - 40*k. Determine r(n(y)). y**2 Let q(z) be the first derivative of 0*z + 1/2*z**2 - 3. Let d(n) = -6*n**2 + 5*n. Let y(c) = 7*c**2 - 6*c. Let t(k) = 6*d(k) + 5*y(k). Give t(q(m)). -m**2 Let t = -7 + 10. Let h(u) = 7*u - 8*u + 10*u + t*u. Let y(j) = 2*j**2. Calculate h(y(o)). 24*o**2 Let j(c) = 7 - 7 + c. Let k(o) be the third derivative of o**5/30 + 10*o**2. Determine k(j(i)). 2*i**2 Let q(g) = 361*g**2. Let s(x) = -2*x**2. Give q(s(b)). 1444*b**4 Let i(r) be the second derivative of r**4/12 - r. Suppose 3*u = 5*o - 6, 2*u + 2 - 20 = -4*o. Let q(g) = g**2 - o*g**2 + g**2. Calculate q(i(k)). -k**4 Let y(b) = -b. Let w(u) = -7*u**2 + 6*u - 3. Let g(m) = 6*m**2 - 5*m + 2. Let x(r) = -6*g(r) - 5*w(r). Let d(c) be the first derivative of x(c). Give y(d(f)). 2*f Let p(g) = -2*g**2. Let j(o) = -o**2. Let i(s) = 7*j(s) - 4*p(s). Let v(n) = 5*n. What is i(v(x))? 25*x**2 Let i(z) = -4548*z. Let v(d) = d. Give v(i(f)). -4548*f Let v(i) = -2*i. Let w(n) = 3*n**2 + 10*n - 9. Let j(l) = -l**2 - 5*l + 4. Let p(q) = 9*j(q) + 4*w(q). What is p(v(k))? 12*k**2 + 10*k Let h(x) = -2*x. Let m(c) be the second derivative of -c**4/4 - 6*c. Calculate m(h(z)). -12*z**2 Let q(m) be the first derivative of 13 - 6 - 5 - m**2. Let c(y) be the third derivative of -y**5/30 + y**2. Calculate q(c(w)). 4*w**2 Let h(r) = -44*r. Let p(q) = -18*q. Determine p(h(f)). 792*f Let f(v) = -6*v. Let p(u) be the third derivative of -u**4/8 + 15*u**2. What is f(p(g))? 18*g Let l(y) = -4*y. Let w(a) = 38*a. Give l(w(q)). -152*q Let i(l) = 6*l. Let g(q) = 15*q - 15*q - 3*q**2. Give i(g(r)). -18*r**2 Let a(d) = d. Let s(h) = -h - 5*h + 5*h - h. What is s(a(k))? -2*k Let v(w) = w - w + 11*w. Let p(d) = -d. Calculate v(p(s)). -11*s Let f(b) be the third derivative of -b**5/40 + b**3/6 + 6*b**2. Let m(z) be the first derivative of f(z). Let r(q) = -4*q**2. Calculate m(r(x)). 12*x**2 Let o(k) = k. Let s(t) = 369*t + 1. Determine o(s(d)). 369*d + 1 Let d(i) = -25*i**2. Let x(m) = -10*m + 12. Let v(c) = -4*c + 5. Let b(u) = -12*v(u) + 5*x(u). Give b(d(n)). 50*n**2 Let z(p) = 28*p**2. Let b(q) = -4*q**2 - q. What is b(z(c))? -3136*c**4 - 28*c**2 Let o(v) = -6*v - 14. Let x(f) = 2*f + 5. Let k(z) = -5*o(z) - 14*x(z). Let j(r) be the second derivative of -3*r**4/4 - r. Calculate k(j(d)). -18*d**2 Let x(n) = -2*n**2. Let a = -8 - -8. Let f(y) = -6*y - 2*y**2 + 6*y + a*y. Calculate x(f(v)). -8*v**4 Suppose 0 = 6*u - u - 4*a - 285, 0 = -4*a - 20. Let s(r) = -53 + 4*r**2 + u. Let y(c) = 6*c**2. Determine y(s(i)). 96*i**4 Let q(y) = 18*y**2 - 21*y + 21. Let h(z) = -z**2 + z - 1. Let s(p) = 63*h(p) + 3*q(p). Let l(r) = 5*r**2. Calculate s(l(g)). -225*g**4 Let v be 0 - 3/(3/(-2)). Let c(s) = 6*s**2 + 0*s**v - 4*s**2. Let a(l) = 8*l - 5*l - 4*l. Calculate a(c(p)). -2*p**2 Let k(t) = 2*t. Let a(s) = 1. Let g(x) = -19*x - 2. Let b(p) = 2*a(p) + g(p). Determine k(b(q)). -38*q Let y(b) be the third derivative of b**4/12 - 8*b**2 - 2*b. Let g(t) be the second derivative of -2*t**3/3 - t. What is g(y(n))? -8*n Let m(x) = -2*x**2. Let t(p) = -350*p. Give t(m(z)). 700*z**2 Let i(h) = 10*h. Let u(s) be the second derivative of s**4/4 + 9*s. What is i(u(t))? 30*t**2 Let c(d) = 4*d**2. Let p(m) = -m - 1. Let n(v) = -6*v - 8. Let z(s) = -n(s) + 8*p(s). Determine z(c(u)). -8*u**2 Let p(z) = 7*z. Let k(y) = 3*y. Calculate k(p(r)). 21*r Let j(s) = -3*s. Let u(y) = -10*y**2 - 1. Calculate j(u(k)). 30*k**2 + 3 Let i(j) be the second derivative of j**2 - j + 0*j**4 + 0*j**3 - 1/60*j**5 + 0. Let x(y) be the first derivative of i(y). Let q(b) = -b**2. Give q(x(g)). -g**4 Let o(z) = -z + z - z + 0. Let g(l) = l**2 + 2*l + 2. Let d be g(-2). Let r(q) = -2*q**d - 2 + 2. Calculate r(o(p)). -2*p**2 Let n(b) = -2*b + 3130. Let k(u) = 2*u. Give n(k(q)). -4*q + 3130 Let n(b) be the third derivative of -b**5/60 + b**3/3 - 4*b**2. Let f(j) = 3*j**2 - 5. Let z(p) = -2*f(p) - 5*n(p). Let v(a) = 4*a. Determine z(v(l)). -16*l**2 Let c(i) = -3*i. Let r(t) = 3*t**2 - 4*t**2 + 3*t**2. Give c(r(u)). -6*u**2 Let b(g) = 67*g**2. Let d(i) = -19*i**2. Determine d(b(q)). -85291*q**4 Let t(c) = -2*c. Let k(d) = 2528*d**2. Determine k(t(f)). 10112*f**2 Let i(s) = -3*s. Let x(u) = 183*u**2. What is x(i(l))? 1647*l**2 Let z(j) = -4*j**2. Let w(l) = -21 + 21 + l. Let x(f) = -f**2 - 3*f. Let n(b) = 3*w(b) + x(b). What is n(z(o))? -16*o**4 Let m(p) = -p**2 - p**2 + 4*p**2. Let j(b) = 3*b**2. Calculate m(j(h)). 18*h**4 Let b(d) = -3543*d. Let l(y) = 2*y**2. What is l(b(f))? 25105698*f**2 Let n(s) be the second derivative of -s**7/840 + 5*s**4/12 + s. Let a(r) be the third derivative of n(r). Let k(l) = -l**2. Determine k(a(c)). -9*c**4 Let o(z) = -6*z. Let r(h) = -119 - 2*h**2 + 119. What is o(r(w))? 12*w**2 Let v(z) be the first derivative of 2/3*z**3 + 0*z + 0*z**2 - 2. Let b(c) = 10 - 5*c**2 - 10 + 2*c**2. Determine v(b(q)). 18*q**4 Let s(k) = 5*k - 2*k + k - 3*k. Let f = 0 + 2. Let v(m) = -m**2 + 5*m**2 - 2*m**f. Calculate s(v(w)). 2*w**2 Let r(c) = -4*c**2. Let o(b) = 2*b - 56. What is r(o(z))? -16*z**2 + 896*z - 12544 Let l(d) = -3*d**2. Let x(h) = -h**2 + h - 1. Let w(s) = -4*s**2 + 3*s - 3. Suppose 2*k - 12 = -2*k. Let j(v) = k*x(v) - w(v). Calculate j(l(y)). 9*y**4 Let j(n) be the second derivative of n**3/3 - 7*n. Let t(i) = 9*i. Give t(j(q)). 18*q Let r(k) = 35*k**2. Let x(n) = -183*n**2. What is x(r(i))? -224175*i**4 Let z(r) = -11*r + 0*r**2 + 11*r + 6*r**2. Let s(n) = n**2. Give z(s(b)). 6*b**4 Let p(a) = -a - 39. Let x(t) = -44*t**2. Give p(x(v)). 44*v**2 - 39 Let y(r) = 2*r. Let i(d) be the second derivative of -19*d**3/6 + 22*d. What is y(i(w))? -38*w Let c(p) = p**2. Let q(o) be the second derivative of o**6/180 + o**4/4 - 2*o. Let t(s) be the third derivative of q(s). Calculate t(c(r)). 4*r**2 Let x(u) = -4*u**2 + 4*u**2 - u**2 - 3*u**2. Let p(y) = -12*y. Give x(p(j)). -576*j**2 Let l(a) = -3*a. Let o(u) = -55*u + 29*u + 23*u. What is o(l(i))? 9*i Let g(v) = -v. Let w(f) be the first derivative of 4*f**2 + 3. Let h(n) = -10*g(n) - w(n). Let t(d) = -4*d. What is h(t(l))? -8*l Let r(o) = o. Let y be 1*-10*2/(-5). Let v be (6/8)/((-5)/(-20)). Let h(m) = -8*m - v*m + y*m. Calculate h(r(l)). -7*l Let z(g) be the second derivative of g**3/6 - 5*g. Let r(j) be the first derivative of 4/3*j**3 + 0*j + 2 + 0*j**2. What is z(r(u))? 4*u**2 Let s(v) = -v. Let a(z) = 7*z**2 - 4*z - 4. Let f(c) = -27*c**2 + 15*c + 15. Let q(l) = -15*a(l) - 4*f(l). What is q(s(y))? 3*y**2 Let s(h) = 9*h**2. Let o(a) be the second derivative of 7*a**3/6 + 25*a. Give s(o(l)). 441*l**2 Let x(f) = -f**2. Let o(v) be the second derivative of 5*v**3/6 - v**2 - 4*v. Give x(o(k)). -25*k**2 + 20*k - 4 Let v(d) be the first derivative of -d**3 + 2. Let x(t) = t**2 - 4*t. Let f(u) = -u. Let w(b) = 4*f(b) - x(b). What is w(v(c))? -9*c**4 Let v(q) = -q**2. Let z(r) = r**2 + 3*r - 6. Let w be z(-6). Suppose w = o + 3*o. Let h(m) = -m - m + o*m. Give v(h(u)). -u**2 Let g(y)
{ "pile_set_name": "DM Mathematics" }
)/h)/h**(-5/4))/((h/(h*((h/(h/((h*h**(-5))/h)))/h)/h))/(((h**(-5)/h)/h)/h)) assuming h is positive. h**(-405/28) Simplify (d**(-17/4)*d)**3 assuming d is positive. d**(-39/4) Simplify a**(-2/29)*a**(-2)*(a**(-1))**(13/6) assuming a is positive. a**(-737/174) Simplify ((r*r/(r/(r**(-2/7)/r)))/r)**42*(r**(1/8)/r*r)/r*r**5 assuming r is positive. r**(-399/8) Simplify (f/(f*f**5*f))/(f/f**(-1/6))*(f**(1/4)/f)**(-2/49) assuming f is positive. f**(-1049/147) Simplify ((o/(o/((o*o**(-2/7))/o)))/((o**(-3/4)/o)/o))/(o**1)**(-31) assuming o is positive. o**(937/28) Simplify (i/(i*i*i**(-2/3)))**(-4)*(i/(((((i**(1/2)/i*i)/i*i)/i*i)/i)/i))**(-37) assuming i is positive. i**(-547/6) Simplify l/(l/(l/((l*(l**1/l*l*l)/l)/l)))*l**(1/4)*(l/l**(-1/2))**(-42) assuming l is positive. l**(-251/4) Simplify ((y/(y/y**(-11)))/((y**3*y*y)/y))/(y**0/y)**(1/29) assuming y is positive. y**(-434/29) Simplify (((b*b**(6/5)*b)/b)/b**(-1))/(b/(b/(b*b**(-2/7))))**(15/4) assuming b is positive. b**(73/140) Simplify (p/((((p*p/(p/(p/(p*(p*(p*p**(-5))/p)/p)*p)*p*p))/p)/p)/p*p))/p*p**(-2)*(p**(-2/3))**(1/29) assuming p is positive. p**(-437/87) Simplify (z**(1/2))**(-3/5)*z*z/((z/(z*z**(-1)))/z*z)*z*z**(-4) assuming z is positive. z**(-23/10) Simplify (j/(j*(j**6/j)/j)*j**(3/10))**32 assuming j is positive. j**(-592/5) Simplify (w**(-1/10)/w*w)/(w*w*w**(-10)*w)*(w/(w/w**(-1/3)))/(w*w/(w*w**6*w*w)) assuming w is positive. w**(407/30) Simplify ((c*c**(-5))/c*c**(-3/5))/((c*c**(1/2))/c)**(-3/31) assuming c is positive. c**(-1721/310) Simplify (x**15*x**(3/7)*x)**(5/8) assuming x is positive. x**(575/56) Simplify x**(-1/3)*x**5*((x/(x*x**(-1/4)))/x)**(-41) assuming x is positive. x**(425/12) Simplify ((p/(p*p**10*p*p))/(p*p**(1/4)))**(2/7) assuming p is positive. p**(-53/14) Simplify ((q**(1/5))**(-1/11))**(-6) assuming q is positive. q**(6/55) Simplify (r*r**(-1/2))**(-6/19) assuming r is positive. r**(-3/19) Simplify o**(-24)*o**23 assuming o is positive. 1/o Simplify (d*d/(d**1*d))**(2/9) assuming d is positive. 1 Simplify (((i**(-5/4)/i)/i)/(i*i**(-12)))**(-2/97) assuming i is positive. i**(-31/194) Simplify ((f**(-1/8)*f)**(-8/7))**16 assuming f is positive. f**(-16) Simplify (w**15/w**(1/26))**(-8) assuming w is positive. w**(-1556/13) Simplify ((w/w**(-2/127))/w)/(w/(w*w/w**(-2/69))) assuming w is positive. w**(9155/8763) Simplify n**(-1/4)*n**(1/16) assuming n is positive. n**(-3/16) Simplify (b*b/(b/(b*b**0))*b)/b**10*b**6*b**(2/7) assuming b is positive. b**(-5/7) Simplify (((v*v**(-5)*v)/v)/v**(-4/3))/(v**2/v)**(-8) assuming v is positive. v**(16/3) Simplify (k*(k*k/k**18*k)/k)/(k/(k*k/(k/(k/k**16)))) assuming k is positive. k**(-30) Simplify z**38*z**(-3) assuming z is positive. z**35 Simplify (u**(-3)*u/(u*u**(-1/8)))/(u**(2/5)*u)**(-23) assuming u is positive. u**(1173/40) Simplify (a**(6/5)/a*a**(-5/6)/a)/(a**1)**(-3/5) assuming a is positive. a**(-31/30) Simplify ((j*j**(-1/6))/j*j*j/(j*j/(j/(j/(j*(j**2/j)/j))))*j*j*j*j)**(9/7) assuming j is positive. j**(87/14) Simplify (h**(3/5))**(-5) assuming h is positive. h**(-3) Simplify (j**(6/11)*j*j*j*j*j**(-11/4)*j)**(-9) assuming j is positive. j**(-1107/44) Simplify (u**(-2/3))**44/((u/u**(-2/11))/u*u**(1/4)) assuming u is positive. u**(-3929/132) Simplify ((z*z*z**(-2/5))/z*z)**(-14/5)*(z**(-1))**(-1/63) assuming z is positive. z**(-7031/1575) Simplify (p/(p/(p*(p/(p/(p/p**20)))/p))*p)**(2/139) assuming p is positive. p**(-36/139) Simplify (m**(-1)/(m**(-1)/m))**(-23/4) assuming m is positive. m**(-23/4) Simplify g*g**3*g**(2/27)*((g/(g*g*g**(2/9)))/g)**44 assuming g is positive. g**(-2530/27) Simplify (w*w**(-2)/w)**30 assuming w is positive. w**(-60) Simplify (r/(r/(r**(-1/3)*r)))**(-11)/((r**0/r*r)/(r/(r*r**(-4)))) assuming r is positive. r**(-10/3) Simplify b*b**(-3/5)*b**(-1)*b*(b*b*b/(b**(-1)*b)*b)**2 assuming b is positive. b**(42/5) Simplify i**6*i*i**(-2/3)*((i*i*i*i**1*i*i*i)/i)/i*i*i/(i*i/i**(-3/4)) assuming i is positive. i**(127/12) Simplify ((c*c*c**(4/33))/c)**(1/17) assuming c is positive. c**(37/561) Simplify (n**(1/2))**(-1/14) assuming n is positive. n**(-1/28) Simplify (p**(2/19)/p)/(p*(p*p**(-9))/p*p) assuming p is positive. p**(116/19) Simplify (x**5*x)/(x**(-6)/x*x*x)*x**(-8)*x*x**(1/13) assuming x is positive. x**(53/13) Simplify (v**(-3/7)/(v**1/v))/(v**(-1/3)*v*v**(-2/13)) assuming v is positive. v**(-257/273) Simplify (o**0*o**3)**(38/7) assuming o is positive. o**(114/7) Simplify (v/(v**43*v*v*v))**(-14) assuming v is positive. v**630 Simplify (v**4*v/(v*v/v**(1/4)))/(v*v**3/v*v**6) assuming v is positive. v**(-23/4) Simplify (l**(-1))**13*(l*(l*l*l**8*l)/l)/l**4 assuming l is positive. l**(-6) Simplify (y**1)**(-10)/(y/y**(2/9))**6 assuming y is positive. y**(-44/3) Simplify (z**(-1/3))**(-25)*(z*z**(3/2))/(z**0/z) assuming z is positive. z**(71/6) Simplify (n/n**(2/9)*n*n**6*n)/(n**(2/7))**(-2/15) assuming n is positive. n**(2777/315) Simplify h/(h/(h**4/h))*h**(-1/16) assuming h is positive. h**(47/16) Simplify (s**4/s**1)/((s*s**3/s)/(s/(s**(-6)/s)*s*s*s)) assuming s is positive. s**11 Simplify (k/k**(2/9))**(-9)/(k**1)**(-1) assuming k is positive. k**(-6) Simplify ((t*t**1)/t*t)**8/((((t/t**1)/t)/t*t)/(t*t*t/(t*t*t**0)*t)) assuming t is positive. t**19 Simplify (v*v**(3/5)/v)/v**(-13) assuming v is positive. v**(68/5) Simplify (v**(-33)*v)/(v/v**(2/9)) assuming v is positive. v**(-295/9) Simplify b**(-8/5)/(b/(b**(1/10)/b*b*b)) assuming b is positive. b**(-3/2) Simplify (s**(-8)/(s**(-1/25)*s))**(-17) assuming s is positive. s**(3808/25) Simplify l**38*l**(-27) assuming l is positive. l**11 Simplify ((r**(1/4)*r)**29)**(13/6) assuming r is positive. r**(1885/24) Simplify (j**0)**(-19/2)*(j**(2/3))**36 assuming j is positive. j**24 Simplify (p/(p**(-5/2)*p))/(p*p*p/(p/(p*p*p**5))*p*p*p) assuming p is positive. p**(-19/2) Simplify r**17*r/(r*r**27*r*r) assuming r is positive. r**(-12) Simplify (((q*(q/q**(-11))/q*q)/q)/q*(q/(q*q**(-1/4)))/q*q)**(1/2) assuming q is positive. q**(45/8) Simplify g/(g**(-1)/g)*g/g**(-6)*((g/(g**(-3/7)/g))/g)/(g*g/(g/(g/(g/((g*g**(-2/5))/g))))) assuming g is positive. g**(379/35) Simplify (r**1)**(-49)*(r/(r/(r/(r/(r*r**(1/2)/r*r))*r*r)))**41 assuming r is positive. r**(189/2) Simplify (n*n**(2/11))/(n/(n**(4/19)*n*n)) assuming n is positive. n**(500/209) Simplify (v/v**(-1/10))**45 assuming v is positive. v**(99/2) Simplify (p**(-1/2))**(-22/9) assuming p is positive. p**(11/9) Simplify (r**18*r)/r**14 assuming r is positive. r**5 Simplify ((a/a**15)/a)/a**(6/7) assuming a is positive. a**(-111/7) Simplify (b/(b/(b*(b*b*b**(-1)/b)/b*b*b)))**(1/6)*((b/(b/(b/b**(-1/3)))*b)/b)/(b/b**9) assuming b is positive. b**(29/3) Simplify ((u**(2/33)*u)/u)/(u/(u*u**6*u)*u*u) assuming u is positive. u**(167/33) Simplify ((b*b**(-1)/b)**(16/3))**(-7) assuming b is positive. b**(112/3) Simplify (((k*k/(k/(k/(k*(k*k*k**(2/13))/k))*k))/k)**(2/15))**(-24/11) assuming k is positive. k**(448/715) Simplify (w**(-1/32))**6 assuming w is positive. w**(-3/16) Simplify y**(1/25)*y*y/y**(-4/19) assuming y is positive. y**(1069/475) Simplify ((p/((p*((p/(p*p/(p*(((p*((p/(p/(p**(3/5)/p)))/p)/p)/p)/p*p)/p)))/p)/p)/p))/(p*p/p**(-6)*p))/(p*p**(-2/3))**(-20/3) assuming p is positive. p**(-17/45) Simplify (w**(5/2)/w*w*w)/w*w**(4/3)*(w*w**3)/((w**(-1/13)/w)/w) assuming w is positive. w**(773/78) Simplify (f**(1/5)*f/(f*f*f**(1/3)))/(((f**2/f)/f)/(f*f/f**(2/7)*f*f)) assuming f is positive. f**(271/105) Simplify (j**(2/17))**(-30) assuming j is positive. j**(-60/17) Simplify (z**(-1/3)*z*z/z**(-1/2))/((z/z**(-1/2)*z)/z)**(1/3) assuming z is positive. z**(5/3) Simplify d*d/(d*(d/((d*d**15)/d))/d)*d**(-1/18) assuming d is positive. d**(287/18) Simplify (u/(u*u**(-1)/u*u)*u*u**(-4))**(-31) assuming u is positive. u**62 Simplify (d**(-9)*d**(2/15)/d)**25 assuming d is positive. d**(-740/3) Simplify (((z**(-9/5)*z)/z)/z)/(z*z**(-1/6)*z) assuming z is positive. z**(-139/30) Simplify (h/(h*h*h**7*h)*h**(-6)/h)**(11/4) assuming h is positive. h**(-44) Simplify ((o/(o*o**(-3)/o)*o)/o*o*o**(-6)/o)/(o**0)**(2/67) assuming o is positive. o**(-2) Simplify d**(3/14)/(d/(((d*d*d/((d/d**(-12))/d*d))/d)/d)) assuming d is positive. d**(-179/14) Simplify (k**0)**4/(k*k**(1/2))**(-47) assuming k is positive. k*
{ "pile_set_name": "DM Mathematics" }
l) = -3*l**2 - 2*l + 2. Let g(p) = -b(p) + 4*h(p). Differentiate g(y) with respect to y. 68*y + 11 Let v(a) be the third derivative of 0 + 0*a**3 - 1/15*a**6 + 0*a + 76*a**2 + 0*a**4 - 19/15*a**5. What is the third derivative of v(i) wrt i? -48 Let a be (-6)/((5 - 29/6)*-9). Differentiate -22 + 10493*w**2 + 25*w**a - 10493*w**2 with respect to w. 100*w**3 Suppose -5*k = -l - 13, -4*k - l = 2 - 7. Differentiate -43*s**k + 94*s**2 - 51*s**2 - 16*s**3 - 15 with respect to s. -48*s**2 Let d(m) be the second derivative of 5/8*m**8 - 20*m + 1 + 25/6*m**3 + 0*m**6 + 1/6*m**4 + 0*m**7 + 0*m**5 + 0*m**2. Find the third derivative of d(t) wrt t. 4200*t**3 Find the second derivative of 104*l**2 - 326*l**2 + 477*l - 17*l + 232*l wrt l. -444 Suppose -8*x + 4*x - 10 = -g, 4*x = 2*g - 12. Find the second derivative of -14*l + 69*l**g - 2 + 37*l + 91*l - 301*l**2 wrt l. -464 Let a(w) be the second derivative of 386*w**5/5 - 1767*w**2/2 + 141*w + 4. What is the first derivative of a(s) wrt s? 4632*s**2 Let h = -17 - 81. Let f be h/(-3) - (-1 - (-2)/3). Find the second derivative of -t**2 + 0*t**2 - 14*t + 31*t - f*t wrt t. -2 Let a(l) be the first derivative of 28*l**5/5 + l**4/4 - 6885*l**2/2 - 1935. What is the second derivative of a(b) wrt b? 336*b**2 + 6*b Let y(z) = z**3 + 9*z**2 + 5*z - 3. Let l be y(-7). Suppose t = 11*t - l. What is the second derivative of -27*g**3 + t*g + 287*g**2 - 287*g**2 wrt g? -162*g Find the second derivative of 115 + 64*b + 559*b**3 - 2022*b**3 - 112 - 141*b**3 wrt b. -9624*b Let t(g) = g**3 + 11*g**2 + 9*g - 7. Let z be t(-10). Suppose 8*x - 9*x = -z. What is the first derivative of 120 - l**3 + l**x - 136 - 19*l**4 wrt l? -76*l**3 Let b be (-199)/(-67) - (-1040)/34840. Let j(n) be the first derivative of 0*n**2 + 18*n - 9/4*n**4 + 0*n**b + 29. What is the derivative of j(a) wrt a? -27*a**2 What is the first derivative of -48507*l**4 + 48348*l**4 + 618 + 154 - 2*l + 21 wrt l? -636*l**3 - 2 Let v(u) = -207*u**2 - 14*u - 12603. Let h(j) = 311*j**2 + 20*j + 18906. Let f(c) = 7*h(c) + 10*v(c). What is the first derivative of f(z) wrt z? 214*z Let g(h) be the third derivative of 4*h**7/21 + 3*h**6/40 - 1103*h**3/6 - 54*h**2 - 7*h. Differentiate g(q) with respect to q. 160*q**3 + 27*q**2 Let p(a) = -1665*a**6 + 8*a**4 - 1697*a**2 + 18. Let s(d) = -2*d**6 + d**4 + d**2 + 2. Let v(i) = -p(i) + 8*s(i). What is the third derivative of v(f) wrt f? 197880*f**3 Let c(m) = 9549*m**2 - 37*m - 834. Let g(q) = -3184*q**2 + 13*q + 279. Let z(x) = 3*c(x) + 8*g(x). What is the second derivative of z(h) wrt h? 6350 Let j be 0 - ((-3 - -2) + -2*52). What is the derivative of 57*z + j - 83*z + 188*z wrt z? 162 Let s = -46 - -60. What is the second derivative of -9*n - s + 3*n**4 + 8*n**3 + n**4 - 8 + 7*n wrt n? 48*n**2 + 48*n Suppose -497 - 15 = -8*i. What is the second derivative of -21*w + 437 + i*w**3 - 22*w - 437 wrt w? 384*w Let c be (-3)/(84/(-68)) + 15/(-35). Find the first derivative of -73*v**2 - 4*v + 36*v**c + 33*v**2 + 28 wrt v. -8*v - 4 Let f be (-1 - (-3 - -1)) + 18. Let a be (-6)/48 - 114/(-16). What is the third derivative of a*o**3 + 3*o**3 - f*o**2 + 4*o**3 wrt o? 84 Let f(v) = -11*v - 2. Let r(m) = -3012*m + 482. Let o(a) = -4*f(a) - r(a). Differentiate o(s) wrt s. 3056 Let f(d) be the third derivative of 88*d**7/35 - 319*d**4/6 + 156*d**2 - 2*d. What is the second derivative of f(z) wrt z? 6336*z**2 Differentiate -149917*x**4 - 1435 + 2*x - x**3 + 2*x**2 + x**3 + 149937*x**4 with respect to x. 80*x**3 + 4*x + 2 Let w(c) be the third derivative of 17/48*c**8 - 5*c**2 + 0*c + 41/6*c**4 + 0*c**3 + 1/60*c**6 + 0*c**5 + 0 + 0*c**7. Find the second derivative of w(a) wrt a. 2380*a**3 + 12*a Let j(o) be the first derivative of o**3 + 36*o**2 + 85*o + 2. Let x(c) be the first derivative of j(c). Find the first derivative of x(q) wrt q. 6 Let u(s) be the second derivative of 41*s**6 + 73*s**4/12 - 3*s + 654. What is the third derivative of u(b) wrt b? 29520*b Let d = -2379/10 - -953/4. Let y(t) be the second derivative of 0*t**3 + 1/2*t**4 + 0*t**2 + d*t**5 - 16*t + 0. What is the third derivative of y(z) wrt z? 42 Let x(m) be the third derivative of 0 + 352*m**2 + 0*m + 9/20*m**5 - 1/2*m**3 - 2*m**4. What is the second derivative of x(l) wrt l? 54 Let n = -418 + 435. Find the second derivative of -n - 168*g**3 + 11 + 52*g + 7 wrt g. -1008*g Let d(b) = 1055*b**2 + 57*b + 13. Let h(c) = 527*c**2 + 27*c + 5. Let g(x) = 6*d(x) - 15*h(x). Find the second derivative of g(j) wrt j. -3150 Differentiate -807 - 793 - 480*u**4 - 250*u**4 - 300*u**4 + u**3 + 157 wrt u. -4120*u**3 + 3*u**2 Suppose -272*d + 270*d + 4 = 0. Find the second derivative of -202*c**2 + 8*c**d - 101*c + 102*c + 4 wrt c. -388 Let m(y) = 2*y**2 + 8*y + 8. Let l be m(-6). Let k = 59 - l. What is the third derivative of 77*b**3 - 77*b**3 + k*b**5 - 32*b**2 wrt b? 1620*b**2 Let g(o) = 12*o**3 - 92*o - 4129. Let t(a) = 17*a**3 - 138*a - 6197. Let i(b) = -7*g(b) + 5*t(b). Differentiate i(x) wrt x. 3*x**2 - 46 What is the third derivative of 0*j**2 - 42*j**5 + 12*j**2 - 142 - 51663*j**3 - 4*j**4 + 13 + 51662*j**3 wrt j? -2520*j**2 - 96*j - 6 Let n(u) = -2*u - 1. Let h(l) = 62*l**2 - 5*l - 213. Let g be (3*5/90)/((-1)/(-6)). Let c(j) = g*h(j) - 3*n(j). What is the derivative of c(x) wrt x? 124*x + 1 Find the third derivative of 0*g + 2441 - 2*g + 1352*g**3 - 2457 - 3*g**2 + 2*g wrt g. 8112 Let d(i) = 792*i**3 + 94*i**2 - 3*i - 25. Let l(m) = -1584*m**3 - 189*m**2 + 7*m + 52. Let f(j) = -7*d(j) - 3*l(j). Find the third derivative of f(a) wrt a. -4752 Let k(f) = -842*f**2 - 9*f + 429. Let n(p) = 846*p**2 + 6*p - 431. Let s(b) = 4*k(b) + 6*n(b). Differentiate s(a) with respect to a. 3416*a Let l(t) be the second derivative of -5473*t**6/30 - 5*t**3/2 - 113*t**2/2 + 2*t - 900. Find the second derivative of l(x) wrt x. -65676*x**2 Suppose 27 = -3*j + 6*j. Suppose -4*n - j = -13. Find the first derivative of -4*s - s + 6*s + n - 3*s wrt s. -2 What is the derivative of -333044*f + 333044*f + 1175*f**3 - 363 wrt f? 3525*f**2 Let j(b) = 160*b**3 - 4*b**2 + 1932*b + 4. Let t(y) = -163*y**3 + 5*y**2 - 1936*y - 5. Let h(d) = 5*j(d) + 4*t(d). What is the second derivative of h(a) wrt a? 888*a Suppose 25 = -5*j + 5*l, 0 = -j + 6*j - 2*l + 40. Let m(o) = -8*o - 10. Let q be m(j). What is the derivative of -p + 77 - q + p - 17*p**3 wrt p? -51*p**2 What is the third derivative of 2710*b**2 - 3981*b**4 + 302*b**2 + 554*b**4 wrt b? -82248*b Let o(t) be the second derivative of 0*t**6 + 39*t - 106/3*t**3 - 27/20*t**5 + 0*t**4 + 0*t**2 - 1/21*t**7 + 2. Find the second derivative of o(m) wrt m. -40*m**3 - 162*m Let h(o) = 1211*o**3 - 613*o**2 - 24*o - 6. Let b(v) = 1213*v**3 - 614*v**2 - 20*v - 5. Let a(w) = -6*b(w) + 5*h(w). Find the third derivative of a(j) wrt j. -7338 What is the third derivative of 301*r**4 - 39 + 5*r**3 - 7*r**3 - 112*r**2 + 2*r**5 + 621*r**4 + 122*r**2 wrt r? 120*r**2 + 22128*r - 12 What is the third derivative of -46*a + 2*a**3 + 16*a + 32*a + 210*a**2 + 266*a**4 wrt a? 6384*a + 12 Let b(j) = -151*j + 3. Let u(s) = -s. Let d(l) = -b(l) - 6*u(l). Let z be d(2). What is the derivative of z - 42*k - 150 - 138 wrt k? -42 Let d(g) be the second derivative of g**7/14 + 113*g**6/10 - 2107*g**3/6 + 310*g. Find the second derivative of d(x) wrt x. 60*x**3 + 4068*x**2 Let w = 3642 - 3638. Let b(r) be the second derivative of 0*r**w + 3*r**3 + 0*r**2 + 0*r**5 + 0 + 1/15*r**6 - 10*r. What is the second derivative of b(l) wrt l? 24*l**2 Let p(l) = -151*l**3 - 6*l**2 + 100. Let j(d) = 605*d**3 + 25*d**2 - 400. Let x = 484 + -478. Let y(f) = x*j(f) + 25*p(f). What is the derivative of y(n) wrt n? -435*n**2 What is the third derivative of -139549*y**2 + 140079*y**2 + 3391*y**3 + 535*y**3 wrt y? 23556 Let l(f) be the third derivative of -256*f**5/5 + f**4/12 + 4187*f**3/6 + 8389*f**2. What is the derivative of l(c) wrt c? -6144*c + 2 Suppose 2*h - 65 = -3*h. Let n(f) = -f**3 + 14*f**2 - 12*f - 13. Let z be n(h). Differentiate -5 + 2*y**2 - 6*y**2 + z*y**2 - 11 wrt y. -8*y What is the third derivative of 51774*c**3 - 2 - 1371*c**2 - 48753*c**3 + 2 wrt c? 18126 Suppose 0 = -5*u - 106 + 486. Suppose 108 = k - 5*o, 0 = 2*k + 5*o - 262 + u. What is the derivative of -56 - 51 - 9*m + k wrt m? -9 W
{ "pile_set_name": "DM Mathematics" }
m u*j**2 + q*j**3 + k*j**4 + o*j + v and give v. 758 Express (2 + 4 - 3)*(-758*n**3 - n**4 - 8452775*n + 8452775*n) in the form g + c*n + d*n**2 + q*n**4 + t*n**3 and give q. -3 Express (5911 - 13961 + 6361)*(-8 + 5 - 7)*(3 + 2*z**2 - 4 - z**2) in the form t + p*z + x*z**2 and give t. -16890 Express 8493*m**2 - 7948*m**2 - 9122*m**2 - 8123*m**2 as v*m + p*m**2 + a and give p. -16700 Express -74*q**4 - 384*q**2 + 385*q**2 + 29*q - 27*q - q**3 in the form x*q**2 + s*q**4 + m + z*q + k*q**3 and give z. 2 Express -p**3 + 2 + 3*p**3 - 3102*p + 3107*p in the form z*p**3 + d + m*p**2 + y*p and give m. 0 Express 3*t**2 - t**2 - 2*t**3 + 3*t**3 + (2*t - 2*t - t**2)*(41*t + 96*t + 125*t) - 2*t**3 + 2 - 2 as m*t + f*t**3 + d + c*t**2 and give c. 2 Express 0 + 67 + 34 + k**3 - 25*k**3 in the form y*k + h*k**3 + t + l*k**2 and give t. 101 Rearrange 2 - 8*l + 3*l**4 - 29*l**3 + 3*l**2 - 6*l**4 + 10*l**3 + 6*l + 24*l**3 to i*l**4 + c*l**3 + o + m*l**2 + z*l and give i. -3 Rearrange (3 + 1 - 2)*(14 - 14 + 13*d**2) - 4*d**2 + 5*d**2 + 3*d**2 + 5*d**2 - 8*d**2 + 5*d**2 to p*d + g*d**2 + t and give g. 32 Express (0*x**2 - 2*x**2 + 0*x**2)*(1 - 1 - x) - 1015305*x - 8262*x**3 + 1015305*x as h*x**2 + w*x + o*x**3 + y and give o. -8260 Express (18*q - 10*q - 6*q + (0 - 2 + 0)*(4 - 4 + 2*q))*(-6 + 2 + 3)*(-3706*q - 4443*q + 8964*q)*(6*q - 2*q - 5*q) as a + i*q**2 + p*q**3 + m*q and give p. -1630 Rearrange 44 - 11*g**4 - 63*g**2 - 88 + 61*g**2 + 46 + 2*g**3 to h + x*g**2 + k*g**4 + v*g + l*g**3 and give l. 2 Rearrange 2513*n + 2*n**4 + 2*n**3 + 2504*n + 329 + 2512*n - 7531*n + 2*n**2 to k*n**3 + t*n + d*n**4 + w + z*n**2 and give w. 329 Express -7*q**3 + 695*q + 3*q**3 + 5*q**3 - 910*q - 3*q**2 in the form r + a*q**2 + m*q + t*q**3 and give t. 1 Express 5235*i + 1 - 2610*i - 4*i**2 - 2626*i + 41*i**3 in the form j*i + t*i**2 + c*i**3 + v and give v. 1 Express -159*o**2 + 67*o**2 - 7*o - 6*o + 14*o + 8 as f*o**2 + l + k*o and give k. 1 Rearrange 3 + 5 - 16 - 1 - 11 - 317*p to g*p + q and give g. -317 Express (4 - 10 - 4)*(-g - 5*g + 4*g)*(-53 + 50 - 51) as d + j*g and give j. -1080 Rearrange (4*u + 0*u - 3*u)*(72 - 10 + 36 + (13 + 8 - 8)*(-1 + 0 - 5)) to the form j + b*u and give b. 20 Rearrange 2337 + 2339 - 4674 - 67*i**2 + 378*i**2 to t + v*i**2 + j*i and give t. 2 Rearrange -25*n - 211*n**4 - 24 + 22 + 24*n - 56*n**4 to the form q*n**3 + j*n**2 + b*n**4 + f*n + a and give b. -267 Rearrange -3 - 4045*j - 2200*j + 8278*j to d*j + i and give d. 2033 Rearrange -z**2 + 43 - 96 + 37 + 43 - z - z**2 to the form u*z + b*z**2 + r and give r. 27 Rearrange (-47*n - 72*n**2 + 47*n)*(3*n + 0*n + 2*n) - n**3 - n**3 - 2*n**3 to z*n**3 + j*n + l + s*n**2 and give z. -364 Rearrange -22*p**4 + 669*p**3 - 260*p**3 - 275*p**3 + 2 to the form u*p**3 + w + j*p**2 + s*p + g*p**4 and give w. 2 Express (1067 + 1348 + 101*x - 2456 + (2 + 1 - 5)*(-3*x + x + 0*x))*(4 + 1 - 2) as a*x + g and give a. 315 Express 2 + 798*x**2 - 408*x**3 + 404*x**3 - 819*x**2 + 16*x**4 in the form q + j*x**4 + m*x**3 + k*x**2 + a*x and give k. -21 Rearrange -10661 + 424*g + 5331 + 5331 to the form f + b*g and give f. 1 Express 7*v**2 + v**3 + 3997*v - 8107*v + 4111*v - 15 + v**4 in the form r*v + h*v**2 + n*v**4 + b + u*v**3 and give n. 1 Express (-2 + 4 - 1)*(16*j + 4*j + 3*j)*(4 - 3 - 2)*(85*j**2 + 9021*j - 9021*j) as d*j**3 + v + m*j**2 + n*j and give d. -1955 Rearrange -15*q**2 - 4*q**3 - 67 + 67 + 9*q**3 - 5*q to f*q**3 + h*q + t + v*q**2 and give v. -15 Express 54*o + 72*o**2 + 16*o**2 + 44 - 55*o - 22*o**2 in the form n*o**2 + u + j*o and give u. 44 Express -2*i**2 - 4*i**3 + 1960*i + 7*i**3 - 1911*i as n*i**3 + t*i**2 + y*i + v and give v. 0 Rearrange (-68 + 31 - 143)*(50*h - 61*h - 59*h) to t + q*h and give q. 12600 Rearrange (8 - 8 - 2*q - 2)*(-331*q**2 + 195*q**2 - 3772 + 134*q**2) to y*q + c*q**3 + j + x*q**2 and give x. 4 Rearrange 1627 - 1597*r**2 - 6525*r**2 - 1629 to the form b*r + j*r**2 + f and give f. -2 Rearrange -670 + 670 + 1994*j**3 + 0*j**3 - 2*j**3 + 3*j**3 + (-2*j + 3*j + j)*(2*j**2 + 2*j**2 - 2*j**2) to the form i*j**2 + h*j**3 + a*j + k and give h. 1999 Express (-462 + 462 - 376*g**3)*(-3 + 5 + 11) in the form k*g**2 + q*g**3 + i*g + h and give q. -4888 Express (-11*f - 2*f - 12*f + 72*f - 10)*(10 - 14 + 9) as a + u*f and give a. -50 Rearrange -4*m**3 + 5874*m + 5 - 5839*m - 1 - 1 to the form l + v*m**2 + a*m + h*m**3 and give l. 3 Express 29114*s**2 - 1 + 29103*s**2 + 1550*s**3 + 2*s - 58212*s**2 - 45*s**3 as n*s + k + u*s**2 + w*s**3 and give w. 1505 Express -292 + 582 + 6*c + 2*c**2 - 296 - c**3 - 9*c as t*c**2 + k*c + w*c**3 + s and give k. -3 Express 4*t**3 - t**2 + 0*t**3 + 1258940*t**4 - 7 - 1258938*t**4 + 3*t - t**2 as u*t**4 + o + r*t**3 + y*t**2 + g*t and give g. 3 Rearrange 202*f**4 + 13589*f - 4*f**3 - 1 - 13588*f + 4 to i*f**2 + j*f + p*f**3 + n + d*f**4 and give i. 0 Rearrange -2 - g**2 + 1314*g - 1316*g - 5*g**3 + 393*g**4 + 3*g**3 to the form s + p*g**2 + o*g**4 + q*g + w*g**3 and give q. -2 Express -76*r + 116*r**2 - 57*r**2 + 39*r + 40*r - 15 - 57*r**2 - 9*r**4 in the form i + h*r + l*r**3 + o*r**2 + j*r**4 and give j. -9 Express (6 + 4 - 1)*(-120*o - 6 + 5 - 25*o)*(-3 + 0 + 0) in the form s + g*o and give s. 27 Rearrange -129*q**4 + 0 + 413*q**4 - 135*q**4 - 139*q**4 + 44*q - q**2 + 1 to a*q + k*q**3 + o*q**4 + c*q**2 + v and give a. 44 Express -2387 + 13*z**2 + 57*z - 17*z**2 + 5*z**2 - 57*z as m*z + o + b*z**2 and give b. 1 Rearrange 24*s**3 + 18*s - 9*s + s**4 - 24*s**3 - 16*s + 2*s**2 - 2 - 63*s**3 to the form f + x*s**4 + d*s**3 + v*s + b*s**2 and give x. 1 Express -225 + 2*b**2 + 30 - 3091*b**3 - 83 + 3088*b**3 as c + r*b**2 + f*b**3 + d*b and give c. -278 Rearrange -6 + 9*y**2 + 4 - 11*y**2 - 209*y**3 - 113*y - 2*y**4 + 111*y to z + r*y**4 + c*y**2 + l*y**3 + f*y and give f. -2 Rearrange -3*q**3 - q + 41 + 5*q + 5*q - 11*q - 2*q**2 to u*q**2 + y*q**3 + o + i*q and give u. -2 Express -4 - 1 - 9*k**2 - 11*k + 3*k + 9*k + 3*k as p*k + m + u*k**2 and give p. 4 Rearrange (53*r - 275*r - 220*r)*(0*r + 3*r - 2*r)*(-1 + 1 - r) to the form z*r**3 + j*r + l + m*r**2 and give z. 442 Rearrange 2097*w**3 + 68*w - 1054*w**3 - 1 - 1044*w**3 + 103*w to the form p*w**3 + x + c*w**2 + t*w and give c. 0 Rearrange 3161 - 72*d + 46*d - 3*d**3 + d**4 - 3164 + 3*d**2 to w + h*d**3 + s*d**4 + q*d + y*d**2 and give q. -26 Rearrange 1 - 1 + 284*l + 3182*l to q + y*l and give y. 3466 Express -2560920 - 2972*l + 2560920 + (-3*l + 4*l + 3*l)*(1 - 3 - 1)*(1 + 3 - 5) as o*l + y and give o. -2960 Express -2*n**3 - 711*n + 962*n**4 - 1 - 977*n**4 + 38*n**2 + 710*n in the form t*n**2 + w + i*n**3 + h*n**4 + r*n and give t. 38 Rearrange 4478*o - 1852*o + 1071*o + 2336*o to the form v + j*o and give j. 6033 Rearrange 8*h**3 - 248*h - 2 + 445*h + 209*h - 6*h**3 to c*h + j + l*h**2 + b*h**3 and give c. 406 Express (3041 + 445*n - 1518 - 1521)*(-5 - 3 - 6) as t*n + k and give t. -6230 Express (433*q**3 + q - 271*q**3 + 686 - 163*q**3)*(1 - 4 - 4) as c*q**2 + j*q + v*q**3 + s and give s. -4802 Rearrange -17*p**2 - 45*p**2 - 33*p**2 + (3*p**2 + 3 - 3)*((2 - 3 + 2)*(3 + 2 - 6) - 222 + 120 + 52) to k + q*p**2 + r*p and give q. -248 Express -4360*s + 2266*s - 2655*s in the form m*s + y and give m. -4749 Express -18 + 0*i**3 - i**2 - 3 - 87*i + 23 - i**4 + i**3 in the form y*i + n*i**4 + c*i**2 + a*i**3 + s and give y. -87 Express (-47 + 24*b + 47)*(39 + 279 - 65) in the form t*b + g and give t. 6072 Express 100 - 47 + 2365*n - 53 as o + i*n and give i. 2365 Express 11*z**3 - 26*z**3 - 11*z**3 + 45*z**3 + 23*z**3 - 14*z**3 + (5*z - 3*z + 0*z)*(-6*z**2 + 7*z**2 + 6*z**2) as b + y*z**3 + i*z + o*z**2 and give y. 42 Rearrange 1276 - 1276 + 70*l**2 + (-5*l**2 + 0*l**2 - 5*l**2)*(-2 + 0 - 1) to n + h*l**2 + q*l and give h. 100 Rearrange -3 - 2*m + 0*m**3 + 3583284*m**2 - 3583308*m**2 - 2*m**3 + m**4 to t*m**2 + d*m + h*m**4 + c + p*m**3 and give h. 1 Express (-481012*k + 481012*k - 193*k**2 - 5)*(4*k**2 - 6*k**2 + k**2) as v*k + p*k**3 + q + h*k**4 + d*k**2 and give h. 193 Express 20*v**4 + 22*v**4 - 4*v**2 - 2*v**3 - 44*v**4 - 11 - v**2 - v as r + o*v**4 + q*v**2 + g*v + h*v**3 and give q. -5 Express 0*s + 56036 - 15*s + 60*s**2 - 56044 + (0*s**2 + 2*s**2 + 0*s**2)*(-1 + 2 + 1) as i + d*s + n*s**2 and g
{ "pile_set_name": "DM Mathematics" }
1) + 221 Simplify 4*(sqrt(17) + -3) + 4*sqrt(1700). -12 + 44*sqrt(17) Simplify (-1*sqrt(72)/sqrt(4))/sqrt(6). -sqrt(3) Simplify -2*(sqrt(17) + 0 + 4). -2*sqrt(17) - 8 Simplify (6*1*sqrt(95))/(sqrt(45)*-6). -sqrt(19)/3 Simplify -3*2*(sqrt(245) + -1 + sqrt(245))**2. -5886 + 168*sqrt(5) Simplify sqrt(3584)/sqrt(8) + 0. 8*sqrt(7) Simplify -2*((-1*sqrt(2700))/(5*sqrt(27)/sqrt(3)))**2. -24 Simplify (-5 + sqrt(5) + sqrt(500) + sqrt(500)*-2)*2. -18*sqrt(5) - 10 Simplify (sqrt(2) - (-2 + sqrt(18)) - (3*sqrt(128))**2)*-3. 6*sqrt(2) + 3450 Simplify 3 + (sqrt(1008) + 1)**2 + sqrt(1008) - (1 + sqrt(28)*-4). 44*sqrt(7) + 1011 Simplify (sqrt(375)*-1 + sqrt(15))/sqrt(3). -4*sqrt(5) Simplify sqrt(13) + 0 + -1 + 2. 1 + sqrt(13) Simplify (5*sqrt(56)/sqrt(4))/((sqrt(6)/sqrt(3) + sqrt(2) - sqrt(2))*4). 5*sqrt(7)/4 Simplify 1*(-3*(sqrt(800)/sqrt(10) + -1*sqrt(45)))**2. 45 Simplify (sqrt(2448) - 1*sqrt(2448)*5)*-4. 192*sqrt(17) Simplify (0 + ((sqrt(108) - (0 + sqrt(108) - sqrt(108))) + sqrt(108))*-4)**2 + -5. 6907 Simplify (3 + sqrt(136)/(sqrt(16)/sqrt(2)))*6. 18 + 6*sqrt(17) Simplify sqrt(38)/sqrt(2) + -5 + -2 + sqrt(304). -7 + 5*sqrt(19) Simplify (sqrt(125) + -5 + sqrt(5))*1. -5 + 6*sqrt(5) Simplify (sqrt(20)/(sqrt(10)*-4))**2 + -5 + -1. -47/8 Simplify (sqrt(98) + 1)**2 - (sqrt(2) + sqrt(2) + 1 + sqrt(2) + sqrt(2) + 2)**2. -10*sqrt(2) + 58 Simplify 3 + (sqrt(99) + (sqrt(99) - (sqrt(99) + 2 + sqrt(99) + sqrt(99))) - sqrt(99)). -6*sqrt(11) + 1 Simplify -5*(sqrt(98) + 5 + sqrt(98) + 2)**2. -2205 - 980*sqrt(2) Simplify (-1 + sqrt(1539)*-1)**2 - -6*sqrt(475)*-1. -12*sqrt(19) + 1540 Simplify sqrt(208) + 2 + sqrt(13) - ((-2*sqrt(156))/sqrt(12))**2. -50 + 5*sqrt(13) Simplify (2*(sqrt(77) + sqrt(77) + (sqrt(77) - -1*sqrt(77))))/(sqrt(112)*-1)*5. -10*sqrt(11) Simplify 5 + -5 + (sqrt(13)*2)**2. 52 Simplify ((sqrt(10)/sqrt(2) + 1 - sqrt(5)) + sqrt(55)/(sqrt(11) + sqrt(22)/sqrt(2)))**2*2. 2*sqrt(5) + 9/2 Simplify (-3 + -2*sqrt(11) + sqrt(11))**2 + (sqrt(396) + sqrt(396) + sqrt(396)*4 + sqrt(396))**2. 6*sqrt(11) + 19424 Simplify (sqrt(77)/(sqrt(14)/sqrt(2)*3))**2. 11/9 Simplify (sqrt(126)/sqrt(2) + sqrt(63))**2 - (1*(-1*sqrt(7))**2 + sqrt(7)). -sqrt(7) + 245 Simplify sqrt(24)/(1*sqrt(32)/sqrt(4)) + -2. -2 + sqrt(3) Simplify (sqrt(52) - -2*sqrt(52))*5. 30*sqrt(13) Simplify (sqrt(80))**2*-2*-2. 320 Simplify (sqrt(77)/(sqrt(1008) + (sqrt(1008) + 2*sqrt(1008) + sqrt(1008) - sqrt(1008))))**2. 11/2304 Simplify sqrt(190)/(sqrt(120)/sqrt(12)) - ((-1 + sqrt(19) - sqrt(19)) + sqrt(19))**2*-3. -5*sqrt(19) + 60 Simplify 2 + (sqrt(12))**2 + 1*sqrt(48). 4*sqrt(3) + 14 Simplify (-2*(-1 + sqrt(11)) + sqrt(44)/sqrt(4)*-6)**2 + 2. -32*sqrt(11) + 710 Simplify (sqrt(126)/sqrt(12))/(2*sqrt(6)*-1). -sqrt(7)/4 Simplify sqrt(132)/(6*sqrt(24)/sqrt(2) + sqrt(12)). sqrt(11)/7 Simplify sqrt(66)/(sqrt(6)*-2 - sqrt(6)) + sqrt(11) + sqrt(22)/sqrt(2)*-5. -13*sqrt(11)/3 Simplify (-2 + (0 + sqrt(325) - sqrt(325)) + 1)**2. 1 Simplify 3*sqrt(1300)*-3. -90*sqrt(13) Simplify (-1*sqrt(153) + 1 + -1 + sqrt(153)*2 + -2)**2. -12*sqrt(17) + 157 Simplify (1*(sqrt(9)*-2)/sqrt(3))**2. 12 Simplify -1 + sqrt(275) - (sqrt(33)/sqrt(3) + -1). 4*sqrt(11) Simplify (sqrt(52)/(-1*sqrt(4)))**2*-4. -52 Simplify (5*-2*sqrt(204))/(sqrt(36)/sqrt(3)*5). -2*sqrt(17) Simplify 5*(5 + sqrt(4)/(sqrt(2) + sqrt(72) - sqrt(2) - sqrt(2))). sqrt(2) + 25 Simplify (-3*((sqrt(891)*-2 + sqrt(891) + sqrt(891) - sqrt(891) - sqrt(891) - sqrt(891)) + -4 + (sqrt(891) - (-1*sqrt(891) + 3))))**2. 1134*sqrt(11) + 8460 Simplify -3*((sqrt(13) - (sqrt(52) + -1)) + sqrt(13)) + 0. -3 Simplify (sqrt(11) + -1)**2 + 1 - (sqrt(11) - (0 + sqrt(44) + sqrt(11))) - (3*sqrt(33)/sqrt(3) - (sqrt(176)/sqrt(4))/sqrt(4))**2. -31 Simplify -3 + (-3*sqrt(2))**2 + 1. 16 Simplify (-2 + sqrt(117)/(sqrt(45)/sqrt(5)) + -1)**2. -6*sqrt(13) + 22 Simplify -5 + (-2*sqrt(110))/sqrt(10). -2*sqrt(11) - 5 Simplify 2 + (sqrt(52))**2 + -3 + (sqrt(468)*-2)**2. 1923 Simplify (sqrt(2448) + 0)*-5 + sqrt(2448) + -2. -48*sqrt(17) - 2 Simplify 5 + (1 + (sqrt(19) - (sqrt(19) + -2)) - (sqrt(19) + (sqrt(19) - sqrt(19)*-1) + -2)). -3*sqrt(19) + 10 Simplify (sqrt(88)*2*5)/(2*sqrt(128) - sqrt(128)). 5*sqrt(11)/2 Simplify -1*sqrt(22)/sqrt(2) + 5. -sqrt(11) + 5 Simplify sqrt(153)*-2 - (0 + sqrt(1088))**2. -1088 - 6*sqrt(17) Simplify (sqrt(28)/sqrt(4)*2 - (sqrt(56)/(sqrt(8) + sqrt(32)) + sqrt(7) - sqrt(7) - sqrt(7)))**2. 448/9 Simplify ((sqrt(260)/sqrt(5))/sqrt(4) - sqrt(13))**2 - (sqrt(13) + -2 + sqrt(1053)). -10*sqrt(13) + 2 Simplify (5*(sqrt(28) + -2)*-2)**2. -800*sqrt(7) + 3200 Simplify (sqrt(39)/sqrt(3) + 2)**2 + (2*(-1 + sqrt(13)) + sqrt(13))**2. -8*sqrt(13) + 138 Simplify (sqrt(196)/(-2*sqrt(7)))/(sqrt(100) - sqrt(100)*3). sqrt(7)/20 Simplify -4*(sqrt(684) + 2 + (-1 + sqrt(684))**2). -2748 + 24*sqrt(19) Simplify (sqrt(500) + sqrt(500)*1)*6 + 1 + sqrt(500) + 2. 3 + 130*sqrt(5) Simplify -2*sqrt(272) + (2*sqrt(2448))**2 + sqrt(17). -7*sqrt(17) + 9792 Simplify (0 + sqrt(2299) + sqrt(19))**2 + 3. 2739 Simplify -3 + (0 + sqrt(17) + 3)**2 + 5. 6*sqrt(17) + 28 Simplify (4*(sqrt(325) + -2))**2 + sqrt(325) + 5. -315*sqrt(13) + 5269 Simplify sqrt(24)/(sqrt(12) + sqrt(12) + sqrt(48)) + (sqrt(50)/sqrt(5))/sqrt(5) + -3. -3 + 5*sqrt(2)/4 Simplify 4*sqrt(405)*-3 + 0. -108*sqrt(5) Simplify ((sqrt(70)*3 + sqrt(70))*-5)/(-3*sqrt(250)). 4*sqrt(7)/3 Simplify 6*(2 + (sqrt(5) - sqrt(40)/(sqrt(32)/sqrt(4)))). 12 Simplify ((sqrt(15) - sqrt(90)/sqrt(6))*-5)/(-5*(1*sqrt(5) + sqrt(5) + sqrt(5))). 0 Simplify sqrt(80) + (2*(sqrt(80) - -1*sqrt(80)))**2. 4*sqrt(5) + 1280 Simplify (sqrt(1053) - (sqrt(1053) - (-2*sqrt(1053) + sqrt(1053))) - (sqrt(13) + -1 - sqrt(13))*6)**2. -108*sqrt(13) + 1089 Simplify 0 + sqrt(1008) + 0 + 1. 1 + 12*sqrt(7) Simplify ((sqrt(1573) - (sqrt(1573) - (sqrt(1573) + -2*sqrt(1573)*1))) + 0)**2. 1573 Simplify ((-3 + sqrt(605) + 1 - 3*(sqrt(605) + 2*sqrt(605)))*-2)**2. 1408*sqrt(5) + 154896 Simplify (sqrt(119)/((sqrt(28)*3)/sqrt(4)))**2. 17/9 Simplify sqrt(10)/(sqrt(5)*2)*6. 3*sqrt(2) Simplify sqrt(3) + 2*sqrt(3)*-1 - (sqrt(3)*1 - sqrt(3))*1. -sqrt(3) Simplify -4 + -3*2*sqrt(72). -36*sqrt(2) - 4 Simplify (sqrt(2240) + sqrt(2240)*-1 + sqrt(2240) + sqrt(2240))/(sqrt(500) - (sqrt(500) - (sqrt(500) + (sqrt(500) - 3*sqrt(500)))) - sqrt(500)). -4*sqrt(7)/5 Simplify -1*sqrt(26)/sqrt(2) - (0 + sqrt(117))**2. -117 - sqrt(13) Simplify ((sqrt(17) + 1 + 5 - (-1*sqrt(136))/sqrt(8)) + -5 + sqrt(51)/sqrt(3) + sqrt(170)/sqrt(40))**2. 7*sqrt(17) + 837/4 Simplify (-4 + 2*sqrt(1584)*1*-2)**2. 384*sqrt(11) + 25360 Simplify (-1*((sqrt(240)*2 - sqrt(240)) + sqrt(240))/sqrt(5))**2. 192 Simplify (-2*sqrt(110)*3)/(sqrt(10) + ((sqrt(160) - (sqrt(160) - -2*sqrt(160))) + sqrt(160) - sqrt(160) - sqrt(160) - sqrt(160))). 2*sqrt(11)/5 Simplify (sqrt(1400)*-4)/(sqrt(8) + 6*(sqrt(8) - (-1*sqrt(8) + sqrt(8) + sqrt(8)))). -20*sqrt(7) Simplify (3*-2*sqrt(21))/(sqrt(12)/(sqrt(4) - (sqrt(4) - 2*sqrt(4)))). -12*sqrt(7) Simplify ((-4*sqrt(102)*-1)/(2*sqrt(864)))**2. 17/36 Simplify ((sqrt(44)/sqrt(4) + -4 - (sqrt(44)/sqrt(4) + 4)) + -4)**2. 144 Simplify sqrt(13) + sqrt(13) + -1 + 5 - 1*(sqrt(52)/sqrt(4) - sqrt(13)). 4 + 2*sqrt(13) Simplify -5 + sqrt(19)*-2*3. -6*sqrt(19) - 5 Simplify 4*(sqrt(180) + (sqrt(5) - (sqrt(20)/sqrt(4) + -2))). 8 + 24*sqrt(5) Simplify (-4 + sqrt(605) + 2)**2. -44*sqrt(5) + 609 Simplify (sqrt(510)/(-1*sqrt(10)))/(2*sqrt(75) - sqrt(75)). -sqrt(17)/5 Simplify (sqrt(63)/(sqrt(18)/sqrt(2)*2))**2. 7/4 Simplify (sqrt(165)/(sqrt(11)*2))/sqrt(3). sqrt(5)/2 Simplify (sqrt(30) - (2*sqrt(330))/sqrt(11))/sqrt(6) + ((sqrt(5) + 0)**2 + -4)*-3. -3 - sqrt(5) Simplify (-2*sqrt(2160) - sqrt(2160))/(sqrt(245)*-2 + sqrt(245)). 36*sqrt(3)/7 Simplify (sqrt(273)/(2*sqrt(7)))/sqrt(3). sqrt(13)/2 Simplify ((sqrt(99) + (sqrt(99) - (sqrt(99) + 0)))**2*-5 + 0)*6. -2970 Simplify (0 + sqrt(72))*3*3. 54*sqrt(2) Simplify ((sqrt(156) - (sqrt(156)*1 + sqrt(156)))*-2 + sqrt(156) + sqrt(156))/sqrt(12). 4*sqrt(13) Simplify (-6*(sqrt(6)/sqrt(2) + 2))**2 - (sqrt(432) + -1*sqrt(432) + sqrt(432) + ((sqrt(54) - sqrt(6)) + sqrt(6))/sqrt(2))**2. -423 + 144*sqrt(3) Simplify (1*-2*sqrt(33))/sqrt(3). -2*sqrt(11) Simplify 0 + (sqrt(160) - sqrt(10))/sqrt(5) + sqrt(2) + 1. 1 + 4*sqrt(2) Simplify (((sqrt(170) - sqrt(170)*1*6) + sqrt(170))/(-5*sqrt(40)) + -5)**2. -4*sqrt(17) +
{ "pile_set_name": "DM Mathematics" }
+ 4*l**3 - 5*l**4 + 1284 - 1284 - l**2 in the form o*l + h*l**3 + s*l**4 + f*l**2 + c and give f. -1 Express -158 - 377*k + 54 + 55 + k**2 + 49 in the form d*k + c + o*k**2 and give o. 1 Express (-1 + 4 - 1)*(3 - 3 - 3)*(3*t**3 + 0*t**3 + 1 - 4*t**3 + 5*t**2) in the form h*t + n*t**3 + m*t**2 + c and give c. -6 Express (3*h - 3*h - h)*(1 + 2 - 1) + (-4 + 4 - 2*h)*(3 - 3 + 1) + 33 - 33 - 12*h + 3*h - 2*h + h as d*h + j and give d. -14 Rearrange (3*c - c - c)*(-40 - 27 + 49 + (-1 + 1 - 1)*(-3 + 0 + 1)) to z + l*c and give z. 0 Rearrange -98*q + 0*q**2 - 3*q**2 + 3 + 104*q to j + a*q**2 + w*q and give a. -3 Express 10*d + 12*d - 2*d + (-3*d - 2*d + 3*d)*(-2 + 5 - 2) + 6*d + 0*d - 2*d + (-5*d + 5*d - 2*d)*(2 - 2 - 3) as t + x*d and give x. 28 Express (-685 - 608 + 694)*(0*d**2 - 2*d**2 + d**2) + (3*d - 5*d + 3*d)*(-d - 4 + 4) in the form s*d + o*d**2 + j and give o. 598 Rearrange (-10*d**3 + 5*d**3 - 12*d**3)*(4 + 3 - 2) to o + w*d**3 + r*d + a*d**2 and give w. -85 Rearrange (-6*y**3 + 8*y**3 + 0*y**3)*(-2*y + y + 6*y) + 6*y**4 - 12*y**4 - 7*y**4 to the form t*y**3 + q*y**4 + k + b*y**2 + z*y and give q. -3 Rearrange 2 - 4*f**3 - 10*f - 18*f + 42*f - 15*f to s*f + t + r*f**3 + h*f**2 and give s. -1 Rearrange (-9 - 135 - 11)*(0 + 0 - 3*g)*(g**3 - g**3 - 2*g**3) to the form n*g**2 + k*g**3 + c + d*g**4 + i*g and give c. 0 Express -42*y**2 + 368 - 734 + 368 as k*y**2 + n*y + u and give k. -42 Express -2*c - 26*c**3 + 2 - c - 4 + 2*c as f*c**3 + l + j*c + n*c**2 and give j. -1 Express (2*p - 4*p - 2*p)*(6 - 1 - 3)*(13*p - 6*p + 5*p) - 8*p**2 + 3*p - 3*p in the form f + o*p**2 + s*p and give s. 0 Rearrange (-8 + 20*d - 23*d + 7*d)*(4*d + d - 6*d) to the form o*d**2 + w*d + a and give w. 8 Rearrange -1 - 16*v - v + 81*v**2 + 17*v to the form i + h*v**2 + m*v and give i. -1 Express 14*u - 6*u**3 + 17*u**3 - 2*u**3 - 31*u**2 + 33*u**2 in the form b*u + s + i*u**3 + p*u**2 and give p. 2 Rearrange (-3 + 3 + 2)*((-3 - 3 + 4)*(0*a + 3*a - 2*a) + 42*a - 240*a - 35*a) to the form k + q*a and give q. -470 Rearrange 173*r - 110 - 5*r**2 + 110 + 4*r**2 to v + j*r**2 + f*r and give j. -1 Express p**3 - 1 - 6*p**3 + 101*p - 207*p + 103*p + 2*p**4 in the form b*p**2 + z*p**3 + u*p**4 + m + o*p and give o. -3 Express (34 + 12 + 49)*(2*o - 3*o**4 + 2*o**2 - 5*o**4 - 2 + 10*o**4) as x*o**3 + i*o**4 + n*o**2 + t + q*o and give n. 190 Rearrange (-6 - 12 + 19)*(3*p - 5*p + p) + (-1 - 1 + 0)*(-2 - p + 2) + 3*p - p + 0*p to the form y*p + m and give y. 3 Express (-2*f - 1 + 1)*(161*f + 44*f - 62*f) + 7 - 4*f**2 - 7 as q*f + a*f**2 + k and give a. -290 Rearrange (438 - 227 - 224)*(6*r + 0*r - 2*r)*(2*r - r + 0*r) to l + b*r**2 + m*r and give b. -52 Express 124*u - 3*u + 321*u - 99*u + 321*u as n*u + l and give n. 664 Rearrange -h**3 + 0*h**3 + 72*h - 2*h**3 - 71*h - 150*h**2 + 2*h**3 to the form p*h**3 + u + w*h**2 + f*h and give f. 1 Rearrange (0*r**2 + 1 + 2*r**2 - 4)*(-1177 + 589 + 590 - 100*r) to x*r + m*r**3 + f + p*r**2 and give m. -200 Rearrange r**3 - 3*r**3 + 544*r**2 - 541*r**2 - 6*r to i*r + w + z*r**3 + d*r**2 and give i. -6 Rearrange -4 - 10*g + 9*g**3 - 5*g**4 - 10*g**3 + 2*g**2 + 4*g**4 to a*g**4 + c*g**2 + v*g + q + b*g**3 and give a. -1 Express 2*f + 0 - 9 - 3 + 10 - 3*f**3 - f**2 in the form x*f**2 + w + c*f + m*f**3 and give m. -3 Rearrange -14*s**3 - 2*s + 4*s**3 + 3*s**2 - 5*s**3 - 6 - 13*s**4 + 15*s**3 to the form u*s**3 + c*s + x*s**4 + o*s**2 + n and give u. 0 Express (0*c + c - 3*c - 2)*(52 - 27 + 26)*(1 - 3 + 4) in the form w*c + i and give w. -204 Rearrange ((5 - 1 - 2)*(2 - 1 - 4) + 2 - 4 + 0 + 402 + 176 - 778)*(-3 + 3 - 2*j) to the form a + r*j and give r. 416 Express -w**3 - 5*w**3 - 2*w**3 - 2*w**2 + 14*w**3 - 234*w - 5*w**3 as a*w + c*w**3 + i*w**2 + l and give c. 1 Express 0*m + m - 3*m + (3*m - 4 + 4)*(-4 + 2 + 0) + m + 1 - 1 - 24*m - 309 + 309 in the form t*m + o and give t. -31 Express 86*n + 83*n - 29*n + (-4 + 2 + 0)*(2*n - 3*n - n) + n - 1 + 1 in the form s*n + c and give s. 145 Express 4*l + 9*l - 3*l**2 + 6*l - 5*l**2 - 16*l as u*l**2 + r*l + p and give r. 3 Rearrange 134 + 3*y + 3*y**2 - 4*y**2 - 131 + y to b*y + s*y**2 + o and give b. 4 Rearrange 68 - 278 + 71 + 65 - 58*n + 71 to y*n + t and give y. -58 Rearrange -v**3 - 29 + 3*v**3 + 3*v - 2*v + 25 + v to the form h*v + u + w*v**2 + j*v**3 and give h. 2 Express (6 + 3*p**2 - 6)*(-18 - 16 + 52) as d + x*p + n*p**2 and give n. 54 Rearrange (-4 - 1 + 3)*(-184*g + 506*g + 432*g) to q*g + f and give q. -1508 Express (-3 + 1 + 3)*(394*x - 1328*x - 284*x)*(-2*x - 2*x + 2*x) in the form u + y*x**2 + n*x and give y. 2436 Rearrange (2 - 2 + 2*m)*(-m + 0*m - m) - 251*m**2 + 742 - 742 to t*m + v*m**2 + x and give v. -255 Rearrange 1043 - 513 - 521 - q**2 to the form z*q**2 + i*q + y and give y. 9 Rearrange 122 - 3*l - 2*l**2 + 207 + 2*l to w + r*l**2 + n*l and give n. -1 Rearrange (-3*k + 5*k - 3*k)*(262*k - 94*k - 574*k) to the form m + u*k**2 + d*k and give u. 406 Express ((0 + t + 0)*(1 - 4 + 11) - 593*t + 296*t + 298*t)*(-2*t**2 + 2 - 2) in the form i*t + s*t**3 + k*t**2 + j and give i. 0 Rearrange -5*g**3 + 6*g**3 + 8*g**3 - 10*g**3 - 24 to f*g + s*g**3 + o*g**2 + z and give s. -1 Express -5*u**2 - 3*u**2 + 34*u + 10*u**2 as l*u**2 + i + m*u and give l. 2 Rearrange (4 - 5 + 2)*((-1 + 4 + 0)*(-3 + 6 + 5) + 0 - 2 - 1)*(0 + 2*i + 0) to b*i + z and give b. 42 Express -13 - 9 - 9 + 32 - 217*t**2 as x*t**2 + s*t + o and give o. 1 Rearrange 27*q**3 - 44*q**3 + 2 + 2*q - 2*q - 3*q**2 to the form i + y*q + l*q**3 + m*q**2 and give i. 2 Rearrange 7 - 816*n + 10 + 830*n to c + g*n and give c. 17 Rearrange 30*x - 3*x**2 - 7*x**2 - 5*x**2 + 3*x**2 to the form t*x**2 + y + l*x and give y. 0 Express (5*n**2 - 2*n**2 - 2*n**2)*(-765 - 830*n**2 + 1480 - 489*n**2 - 715) in the form b*n**3 + j*n**4 + z*n**2 + h*n + t and give j. -1319 Rearrange (-2*l + 5*l - 57 + 58)*(0*l + 3*l - 6 + 3) to the form p*l + o + i*l**2 and give o. -3 Express (-10 + 16 - w - 10)*(0 + 0 + 3*w)*(-3 + 3 + 12*w) as z*w**2 + h*w + b*w**3 + r and give b. -36 Rearrange (-2*r - 3*r + 4*r)*(0 - 2 + 0) + 325*r + 122*r - 673*r + 1095*r to the form q*r + t and give q. 871 Express -2*g + 1607*g**2 + 1676*g**2 + 4*g - 3364*g**2 as y*g + v + i*g**2 and give i. -81 Express -152*f + 154*f + f**2 + 2*f**3 - 1 - 5*f**3 in the form g + k*f**3 + d*f**2 + w*f and give k. -3 Rearrange 18*p**2 - 7*p**2 - 5*p**2 - 14*p**2 - 108 to the form h*p**2 + o*p + g and give g. -108 Rearrange (-3 + 3 + 9*m)*((-5*m + 2*m + 4*m)*(m + 1 - 1) - 12*m**2 - 7*m**2 - 4*m**2) to the form l + s*m + u*m**3 + k*m**2 and give u. -198 Rearrange 6*l - 43*l + 107*l + 25*l + 70*l to the form u + v*l and give v. 165 Rearrange -115*k**3 + k - 112*k**3 - 3*k to the form y*k**2 + j*k**3 + w + r*k and give r. -2 Express (-3*s + 4*s - 3*s + (s + 3*s - 3*s)*(2 - 2 - 1) + 2*s - 1 + 1)*(15*s**2 - 833*s + 833*s) in the form o*s**2 + h + g*s + t*s**3 and give g. 0 Rearrange ((-4 + 2 - 2)*(-c - c + 0*c) + c - 2*c - c + (-2*c + 2*c + 2*c)*(2 + 2 - 2) + c + 0 + 0 - 8*c + 6 - 6)*(3 + 0 - 2) to the form t*c + b and give t. 3 Express (-16 - 10 - 4)*(123 - 123 + 13*k + 16*k) in the form d*k + r and give d. -870 Express -219*x - 712*x + 136*x as n + a*x and give a. -795 Express (-2 - 3 + 6 + (0 + 3 - 1)*(1 + 1 - 4))*(-559*x - 538*x + 1037*x) as n + q*x and give q. 180 Express 1 - 3 + 44*l + 186*l**2 - 19*l - 26*l in the form b*l + q + g*l**2 and give q. -2 Express (-32*k + 31 - 31)*(50*k + 196 - 196) in the form r*k + y + x*k**2 and give x. -1600 Express (0 + 0 - 3)*(0 - 1 + 0)*(0 + 0 + 3*v) as i + o*v and give o. 9 Rearrange -1008*v + 1874*v + 2136*v to the form u*v + n and give u. 3002 Express -19*t - 8 + 19*t + 38*t**2 + 1 - 17*t**2 in the form a*t**2 + b + z*t and give a. 21 Express b**2 - 113 - 101 + 172 + b**2 as l*b + k + x*b**2 and give x. 2 Rearrange (17*b - 455 + 455)*(-4*b**2 + b**2 + 2*b**2) + (-3 + 2 - 1)*(17*b**2 - 18*b**3 - 17*b**2) to the form y*b + t + r*b**3 + l*b**2 and give r. 19 Express 18 - 40 + 2*q**2 + 22 - 158*q**3 + 30*q**3 in the form k*q + l*q**2 + w + u*q**3 and give u. -128 Express 185*n - 360*n + 1 + 177*n as o*n + c and give o. 2 Rearrange -168*h**2 - 103*h**2 - 56*h**2 to the form r*h + i + k*h**2 and give k. -327 Rearrange 2*a**4 - 8*a**4 - 13*a**4 + (-10*a**2
{ "pile_set_name": "DM Mathematics" }
-s*m + 14 = -x*m. What is the greatest common divisor of 126 and m? 14 Let h(y) be the second derivative of 29*y**4/12 + 2*y**3/3 - 3*y**2/2 - 2*y. Let w be h(2). Calculate the greatest common factor of 11 and w. 11 Suppose -5 - 27 = -2*y. Calculate the highest common divisor of 24 and y. 8 Let z = -3 + 26. Suppose -2*p + 3*j = j - 4, -4*p + z = -j. Calculate the highest common factor of 63 and p. 7 Suppose -2*x = 5*u + 3*x - 10, -2*x = 5*u - 25. Calculate the greatest common divisor of u and 28. 7 Let i(t) = -t**3 + 5*t**2 + 8*t. Let o be i(6). Calculate the greatest common factor of o and 32. 4 Let a(o) = o**3 - 2*o**2 + 3*o - 2. Let l be a(2). Suppose q - 5 = -l. What is the highest common factor of q and 4? 1 Suppose 5*q + 90 + 75 = 0. Let i be (-15)/(2 - q/(-12)). What is the greatest common factor of i and 2? 2 Suppose -3*g = -3*r - 6, 21 = 5*g - 4. What is the greatest common divisor of 6 and r? 3 Suppose -3*q + 4 = q + h, 3*h = -2*q + 2. Suppose 0 = 4*k - 7 - q. Suppose k*z + z = 72. What is the greatest common factor of z and 8? 8 Suppose -6*p = -p + 20. Let f(c) = c**2 + 4*c + 2. Let o be f(p). Calculate the highest common factor of 16 and o. 2 Let k = 22 - 5. Suppose -4*j + k = 9. Let z(b) = -b**3 + 2*b**2 - b + 1. Let t be z(1). Calculate the highest common factor of j and t. 1 Let d = 1 + 1. Suppose -t = d*t - 189. What is the greatest common factor of t and 9? 9 Suppose 4*q - 125 + 21 = 0. Suppose g + 113 = 3*s, -3 = -s + 2*g + 28. Calculate the highest common divisor of q and s. 13 Let f be 2/(-6)*-3 + (3 - -29). Suppose 5*w - 2*u = -6*u + 3, -w - 2*u - 3 = 0. Calculate the highest common factor of w and f. 3 Suppose 47 = -3*c + 3*g + 8, -2*g - 22 = 4*c. Let t = 12 + c. Let o be t*1 + 0/1. What is the highest common factor of o and 4? 4 Let p(l) = -l**2 - 6*l + 9. Let q be p(-8). Let c(t) = -t - 1. Let y be c(q). Let v = y + -5. Calculate the highest common divisor of 8 and v. 1 Suppose 4*o = -0*x - x + 281, 0 = 4*o + 4*x - 284. Let w = -2 - -3. Let a be -2 - w - -2 - -11. What is the highest common factor of a and o? 10 Suppose -4*r + 39 = -9. Let p = -75 + 79. What is the highest common divisor of r and p? 4 Let p(m) = m**3 - 5*m**2 - 5*m + 1. Let r be p(6). Let w be (-6)/(-2 - (-53)/28). What is the greatest common divisor of w and r? 7 Suppose 5*v - 190 = -2*w, -3*v + 2 = w - 111. What is the highest common factor of 24 and v? 12 Suppose 5*n - 16 = n, 2*n - 23 = -3*p. Suppose -t - 149 = -0*a - 3*a, -p*a + t + 245 = 0. Calculate the greatest common divisor of a and 12. 12 Suppose 5*y + 115 = 3*c, 0 = 4*c + 5*y - 137 - 28. Let p = c + -18. Let g = 115 + -60. Calculate the greatest common factor of g and p. 11 Suppose 6 = i - 19. Calculate the greatest common factor of 225 and i. 25 Suppose -5*k + 2 = -2*t, -2*k = 5*t - t - 20. Suppose -t*x + 50 = -10. What is the highest common factor of x and 5? 5 Let d(c) = 44*c. Let k be d(5). Calculate the highest common divisor of 20 and k. 20 Let t(z) = -z**3 - 11*z**2 + 9*z + 2. Let f(j) = j - 23. Let o be f(11). Let n be t(o). Calculate the highest common divisor of n and 19. 19 Suppose 5*m + 40 = 10*m. Let g be 2/(1 + 2/(-6)). Suppose 2*c = -g + 43. Calculate the highest common divisor of m and c. 4 Suppose -5*r - 174 = 4*k, 4*r + 135 = -k + 2*k. Let y = r - -47. What is the highest common divisor of y and 65? 13 Let b(n) = -4*n - 5. Let c be b(-5). Let r be 1*(1 + 0)*-71. Let m = 116 + r. What is the highest common divisor of c and m? 15 Suppose 5*b + 2*b - 588 = 0. What is the highest common factor of b and 42? 42 Let s(d) = -d + 20. Let c be s(6). Calculate the highest common divisor of c and 21. 7 Suppose -15*n = -16*n + 38. Suppose 0 = a + a - 38. Calculate the greatest common factor of a and n. 19 Let b(s) = 12*s**2 + s - 4. Let a be b(-2). What is the greatest common factor of 6 and a? 6 Suppose -u - 2*b = -10, 4*b - 9 = -5. Calculate the highest common factor of u and 104. 8 Let w = 80 + 45. Suppose -3*k = -4*k + 1, -5*k - 20 = -c. Calculate the greatest common factor of w and c. 25 Let u = -15 - -19. Calculate the greatest common divisor of 10 and u. 2 Let d be (1 + 1/5)/((-4)/(-10)). What is the greatest common factor of d and 24? 3 Suppose 12*c = 8*c + 44. What is the highest common factor of c and 77? 11 Let s = 111 - 55. Suppose 6*l = l - v - 89, l + 4*v = -14. Let y = -10 - l. Calculate the highest common divisor of y and s. 8 Let n be 29 - (1*-5 - 8/(-2)). Calculate the greatest common factor of 10 and n. 10 Let n(k) = k - 8. Let d be n(0). Let b(q) = -q**2 - 13*q. Let l be b(d). Suppose 0 = -u + 10 - 2. Calculate the highest common divisor of u and l. 8 Suppose 2*u - 12 = -2. Suppose -3*f - 2*f + u = 0. Calculate the greatest common factor of f and 2. 1 Let x = 17 + -3. Calculate the highest common factor of x and 56. 14 Let m = 3051 + -1770. Let p be (-6)/8 - m/(-28). What is the highest common factor of p and 9? 9 Let z(f) = f - 19. Let j be z(13). Let s = -2 - j. Calculate the greatest common divisor of 28 and s. 4 Let t be ((-2)/6)/(4/(-36)). Suppose -2*w - 5*q = -80, w - t*q = 21 - 3. What is the highest common factor of w and 6? 6 Let a = 199 - 59. What is the highest common factor of 56 and a? 28 Let l = 46 - -30. Let o(m) = m + 5. Let x be o(-3). Suppose -x*w = -4*r - 50, -r - 2*r - 28 = -w. Calculate the highest common divisor of w and l. 19 Suppose -8 - 4 = 3*r, 5*r = 4*l - 148. What is the greatest common divisor of 48 and l? 16 Let t(x) = x**3 + 9*x**2 - 24*x - 16. Let w be t(-11). Calculate the highest common divisor of w and 3. 3 Let r = -3 + 7. Suppose 4 + 11 = 3*l. Let j be (-2)/l - 12/(-5). What is the highest common factor of j and r? 2 Let m(q) = 2*q**2 + 8*q + 1. Let v be m(-5). Calculate the highest common divisor of v and 55. 11 Suppose 2*c - 14 = -0*c. Suppose -60 = -c*p + 4*p. Let k = -5 - -9. What is the greatest common factor of k and p? 4 Let f(l) = 4*l + 2. Let r be f(2). What is the greatest common factor of 25 and r? 5 Let q(r) = -r + 3. Let l be q(7). Let v be (5/(-4))/((-1)/l). Let b(c) = -c - 2. Let z be b(v). What is the highest common divisor of z and 33? 3 Suppose 3*c = -0*c + 90. Calculate the highest common factor of 15 and c. 15 Suppose -5*f = -3*a - 23, -a = f + 2*a - 1. Let x be 61/f - 1/4. What is the highest common factor of x and 5? 5 Suppose -f + 28 + 12 = 0. Let y be 8/(0 - (-4)/8). Calculate the highest common divisor of y and f. 8 Let p(w) be the second derivative of -w**3/3 + w**2 - w. Let c be p(-3). What is the highest common divisor of c and 8? 8 Suppose -36 = 5*y - 3*i, 2*i = -2*y + 3*i - 14. Let f = 2 + y. Let h be (-340)/(-6) + f/6. Calculate the highest common factor of 7 and h. 7 Let n(m) = 1 + m**2 - 2*m**2 + m**2 + 7*m**2. Suppose 0 = -4*q - 0*k - 3*k + 5, -14 = 2*q - 4*k. Let x be n(q). Calculate the highest common divisor of x and 8. 8 Let h(f) = -4*f - 14. Let y be h(-8). What is the greatest common factor of 12 and y? 6 Let m(f) = f + 8. Let v be m(-6). Suppose v*a - 18 = -a. Suppose -45 = q - a*q. Calculate the highest common divisor of q and 99. 9 Let j = 185 + -495. Let r = -214 - j. What is the highest common factor of 12 and r? 12 Suppose -11 = -5*i + 2*j, j = -3*i + 6*j - 1. Suppose -6*t + 42 = -i*t. What is the highest common divisor of 42 and t? 14 Suppose -18*d + 13*d = -400. Calculate the highest common divisor of 120 and d. 40 Let v be (-424)/(-10) - 2/25*5. Calculate the highest common factor of 105 and v. 21 Let p be (-2)/(-4)*(4 - 2). Calculate the greatest common divisor of 1 and p. 1 Let o = -6 + 47. Let x be (o - 3)/2 - 1. What is the greatest common factor of x and 2? 2 Suppose 0 = -2*o + l, o + 6*l = 2*l. Suppose o = -4*v - v. Suppose w + 0 - 14 = v. Calculate the greatest common divisor of w and 21. 7 Let w = 3 - 0. Let c be (18 - w)*2/3. Suppose 2*d = c, -4*k - 5*d + 10*d - 1 = 0. Calculate the greatest common divisor of 12 and k. 6 Let s be (-680)/(-32) + 15/(-12). Let n = 2 + 3. What is the highest common divisor of s and n? 5 Let z(n) = 29*n + 17. Let x be (-4)/(-1)*(-21)/(-12). Let l be z(x). What is the highest common factor of 20 and l? 20 Let d(i) = 4*i**3 + 2. Let t(u) = 4 + u**3 - 5 - 5*u**3. Let f be t(-1). Let p be d(f). Calculate the highest common divisor of 10 and p.
{ "pile_set_name": "DM Mathematics" }
) + 4 + 0 + (2 + sqrt(49)/sqrt(7) - sqrt(7)))*5)**2. 52500*sqrt(7) + 188125 Simplify 4*-3*(0 + ((sqrt(13) - (sqrt(52)/(sqrt(4) + sqrt(64)) - sqrt(13))) + (sqrt(13) - sqrt(13)*-1) + 4 - (2*sqrt(13) + -5 - (-2*sqrt(156))/sqrt(12))))**2. -24456/25 + 216*sqrt(13)/5 Simplify (3*sqrt(96)/sqrt(4) + (sqrt(24) - sqrt(1944)*3))/(sqrt(1296)/sqrt(3) + sqrt(72)/sqrt(6)*1) + 4. -23*sqrt(2)/7 + 4 Simplify (sqrt(150)/((sqrt(192) + sqrt(192)*-6 - sqrt(192)) + sqrt(3)))/((sqrt(10) - sqrt(40))*-5 + sqrt(10) + sqrt(120)/sqrt(432)). -6*sqrt(5)/1739 Simplify (3*(-3*-3*sqrt(126))/sqrt(2))/(6*(sqrt(144) - -2*sqrt(144)) - (2*sqrt(144)*-1 - sqrt(144) - sqrt(144))). 27*sqrt(7)/88 Simplify (4*(-6*(-2*sqrt(315) - sqrt(315)) + sqrt(315)))/(-4*sqrt(5103)). -19*sqrt(5)/9 Simplify ((sqrt(28)/(sqrt(28)/sqrt(4))*-3*1)/(sqrt(250)/(sqrt(20)/(sqrt(4) + sqrt(100)))))**2. 1/50 Simplify ((5*sqrt(104) + sqrt(104))*1 - 2*sqrt(104)*-5)/(sqrt(392)*-2*6 + sqrt(392)*-1*5). -16*sqrt(13)/119 Simplify -2 + (5*sqrt(1728) + -3 - (-3 + 4 + sqrt(3) - (sqrt(6)/(6*sqrt(2)))**2)). -71/12 + 119*sqrt(3) Simplify 2 + ((sqrt(1050) + -1*sqrt(1050) + sqrt(42) + sqrt(42))/(5*2*sqrt(6)) + (sqrt(175) + 3 + sqrt(7) + sqrt(7) - (sqrt(42)/sqrt(6) + 2 + sqrt(7))))**2. 52*sqrt(7)/5 + 4807/25 Simplify ((-3*(1 + sqrt(300)))**2 - ((2*sqrt(300))**2 + 1))*3 - (sqrt(300) - (sqrt(300) - (-4 + -2*sqrt(300))) - (5 + -2*sqrt(300)))*6. 540*sqrt(3) + 4578 Simplify 3*((3*(sqrt(180) - (-3 + sqrt(180)*-1 + sqrt(180))))**2 + -1)*6*3. 17496*sqrt(5) + 91800 Simplify (-4 + 4*sqrt(1539) + 4 + -2 + (sqrt(1539)*-5 - sqrt(1539)) + -3 + 2)**2. 108*sqrt(19) + 6165 Simplify (1*(sqrt(76) - (sqrt(76) + 3*sqrt(76)) - sqrt(76) - sqrt(76))*-6*2)/(((sqrt(704)*1 - sqrt(44)) + sqrt(44))/(sqrt(1331)*-1)). -165*sqrt(19) Simplify ((5 + sqrt(3200)*2 - sqrt(3200)) + (-1 + sqrt(3200))*-1 + sqrt(3200) + -5 + 6*(sqrt(3200) + -2 + sqrt(3200))*-5)**2. -287920*sqrt(2) + 11142921 Simplify (-4*((sqrt(117) - sqrt(117)*2) + sqrt(117) - sqrt(117)))/(sqrt(54)/(sqrt(18)/sqrt(3))) + ((4*1*sqrt(13) - (3*sqrt(832) - sqrt(832))) + -2)**2. 52*sqrt(13) + 1876 Simplify (sqrt(30)/(sqrt(21)/sqrt(7)) + sqrt(30)/sqrt(12))/((sqrt(5) + 2*-1*sqrt(5) + -5*sqrt(80))*-4). sqrt(2)/56 Simplify (-3*(-2 + sqrt(288) - sqrt(288))*-1 + -3 + 5 + sqrt(2)*-2*-4 + 1)**2. -48*sqrt(2) + 137 Simplify (-3 + sqrt(475) + sqrt(475)*1 + -4)**2 + 1*(-5 + sqrt(931)*2). -126*sqrt(19) + 1944 Simplify ((sqrt(136)*2*-1 - (2*1*sqrt(136) - sqrt(136)))*6)/(sqrt(8) + (-3*sqrt(72))/sqrt(9) - (sqrt(80)/sqrt(5) - sqrt(16))/sqrt(2)). 9*sqrt(17) Simplify (((2*sqrt(114)*1 - sqrt(114)*1*-2)/(2*sqrt(600) + -1*sqrt(96)) + -4)*3)**2. -18*sqrt(19) + 2475/16 Simplify -3 + ((-6*(-2*sqrt(80)/sqrt(4) + sqrt(20)))/(-1*sqrt(1210)*-2))**2. -345/121 Simplify 5*(0 + -2*(sqrt(77) + (sqrt(77) + -4*(sqrt(77) - (sqrt(77)*1 + sqrt(77)) - sqrt(77)) - sqrt(77)))/((sqrt(99)*2)/sqrt(9) - sqrt(11))*3). -270*sqrt(7) Simplify (1*sqrt(1620))/(-6*sqrt(8)/sqrt(2)) + ((-3*sqrt(100)*3 - sqrt(100))/sqrt(5))**2. -3*sqrt(5)/2 + 2000 Simplify 5*(((sqrt(264) + -3*sqrt(264) + sqrt(264))*6)/(5*-2*sqrt(6)) + 4)**2. 48*sqrt(11) + 796/5 Simplify 0 + sqrt(52)*5 + sqrt(117)*-5 + -4*((-3*sqrt(13) + sqrt(13) - sqrt(13)) + 4)*5. -80 + 55*sqrt(13) Simplify (sqrt(132) - (sqrt(132) - sqrt(132)*-1*-6) - sqrt(132))/(1*(-2*sqrt(12) - sqrt(12))) + (sqrt(11) + 0 + 1 + 1 + 5)**2 + -2. 37*sqrt(11)/3 + 58 Simplify (((sqrt(440) - (sqrt(440) + -1*sqrt(440)))*-4)/sqrt(11)*-5)/((sqrt(528)/(sqrt(44)/sqrt(4)))/(sqrt(6) - -4*sqrt(96))). 340*sqrt(5) Simplify 6*(1 + 4*((2*sqrt(450))/(sqrt(9) + sqrt(441)*4))**2) + -3. 7323/841 Simplify -5*(sqrt(605)*-2 + -4 + sqrt(605) + 5)**2 - ((5*sqrt(605)*-1 - sqrt(605)) + (sqrt(605) - (-2 + sqrt(605) + -1 - sqrt(605))))*1. -3033 + 165*sqrt(5) Simplify (sqrt(10) + 1*sqrt(250) - sqrt(120)/sqrt(48))/(sqrt(10)/((sqrt(96)/sqrt(3) - sqrt(32)) + sqrt(32))*-6). -11*sqrt(2)/3 Simplify (1*((sqrt(91) - sqrt(91)*-1*-4) + sqrt(91) + (sqrt(91)*1*-1 + sqrt(91) - sqrt(91)))/(-6*-1*1*sqrt(567)))**2. 13/324 Simplify (((((-1*sqrt(550) - sqrt(550))*4 - sqrt(550) - sqrt(550)) + sqrt(550))/(sqrt(10) - (2*sqrt(490) + sqrt(490))))/(-5*(sqrt(539) - -2*sqrt(539))*1))**2. 9/98000 Simplify (-5 + sqrt(1539)*-2)*-3 - (1*(sqrt(95)*-1 - sqrt(95)))/sqrt(5)*5. 15 + 64*sqrt(19) Simplify (0 + (1 + sqrt(192)*2 + 2 + -4*(sqrt(192) + 1) + sqrt(192) + -5 + (sqrt(192) - (1 + sqrt(192))) + -2)*-3)**2. 1296*sqrt(3) + 2457 Simplify ((sqrt(13) - ((sqrt(468)*-1)**2 - sqrt(468))) + sqrt(78)/(sqrt(18)/sqrt(3)))*1 + (1*sqrt(832) + sqrt(832) + -2 + -1 + sqrt(832) + 1)**2 + -2. -88*sqrt(13) + 7022 Simplify ((sqrt(14)/sqrt(2) + -2 + sqrt(7) + (sqrt(42)/sqrt(3))/sqrt(2))*4 + (-3*(1 + sqrt(7)) - (sqrt(7) + (sqrt(7) + -1 - sqrt(7)) + -3)))**2. -112*sqrt(7) + 497 Simplify -3*(2 + (4*(sqrt(52) + (sqrt(468)/(sqrt(27)/sqrt(3)) - sqrt(52)) + sqrt(52) + 0))**2) + -2. -9992 Simplify (-3*sqrt(88)*1 + sqrt(88))/(sqrt(1728)/sqrt(6)) - (sqrt(121) - (sqrt(121) - (sqrt(121) + sqrt(121)*-5 - sqrt(121))*3))/sqrt(11)*3. 134*sqrt(11)/3 Simplify (2*sqrt(12)*1 - sqrt(108)*-3)/((sqrt(60)*-2)/sqrt(10) - sqrt(150)*3). -11*sqrt(2)/17 Simplify (1*(2 + sqrt(68) + -5) - (4 + 0 + sqrt(68) + sqrt(68) + (sqrt(68) - (-4 + 2*sqrt(68)))))**2. 121 Simplify ((-1*sqrt(19)*6 + -1)*6 + (-5 + sqrt(19) + sqrt(931) - sqrt(19) - sqrt(209)/(1*sqrt(11))))**2*6. 3960*sqrt(19) + 103326 Simplify ((sqrt(2) + sqrt(8)/sqrt(4) + -5 + sqrt(6)/sqrt(3)*-1)*-3 + -1*(sqrt(48)/sqrt(3))/sqrt(2) + 4)*1. -5*sqrt(2) + 19 Simplify ((4*((sqrt(2662)*1 - sqrt(2662)) + sqrt(2662))*2)/(sqrt(2) + 2*sqrt(98) + (sqrt(2) - -6*3*sqrt(2))))**2. 21296/289 Simplify 6*((sqrt(13) - (sqrt(832)*2 + sqrt(13))) + (sqrt(832) + 1)**2 + 5 - ((sqrt(13) + sqrt(52)*1 + sqrt(13) + sqrt(52)/sqrt(4) + sqrt(13) + 4)**2 + 0)). -288*sqrt(13) + 2124 Simplify (-6*((5*(sqrt(52)*3 - sqrt(52)) + -5 - (sqrt(1300) + -2)*5) + -3))**2. -4320*sqrt(13) + 421344 Simplify ((2*(sqrt(68)*-2 - sqrt(68)) + (sqrt(68)*2 - sqrt(68))*2 + sqrt(68))/(sqrt(44)/(3*(sqrt(99)/sqrt(9) + sqrt(11))))*4)**2. 88128 Simplify 6*((sqrt(162) - sqrt(162)*1)**2 - -1*sqrt(8)/sqrt(4) - (sqrt(1176)*-2)/(sqrt(12) + -6*sqrt(12)*1))*-3. 162*sqrt(2)/5 Simplify ((sqrt(252) + sqrt(252)*-1)/sqrt(9) + (sqrt(112) - (sqrt(112)*1 - sqrt(112))))/(6*sqrt(12)/sqrt(3) + (sqrt(4) - 3*sqrt(4)*-2)) + 2. 2*sqrt(7)/13 + 2 Simplify -2 + 2*(1 + 2*sqrt(13) + 4 - (sqrt(468) + -1)*3)**2*-4. -27138 + 2048*sqrt(13) Simplify -1 + (sqrt(1584) - (-1*sqrt(1584) + 1) - (sqrt(1584) - (sqrt(1584)*-1 + -2)))**2 + (5*(sqrt(1584) - (sqrt(1584) - (-1 + sqrt(1584))))*-6)**2. -21600*sqrt(11) + 1426508 Simplify ((5 + -3 + -1*sqrt(76) + 5 + 1 + -3 + (sqrt(19) - (sqrt(57)/sqrt(27) - sqrt(19))))*5)**2. -250*sqrt(19)/3 + 6100/9 Simplify 5*-2*3*((3*(sqrt(171)*-2 - sqrt(171)))**2 - (sqrt(171) + 0 + -3))*5. -2078100 + 450*sqrt(19) Simplify (1*(-1 + (sqrt(1053)*-1 + sqrt(1053))**2) + sqrt(13) + -1 + (sqrt(52)/sqrt(4))**2 + sqrt(143)/sqrt(275))*-6. -66 - 36*sqrt(13)/5 Simplify (-1 + -4*((5*sqrt(468) + 5 - sqrt(468)) + (sqrt(468) - ((-3*sqrt(468) - sqrt(468)) + sqrt(468) + 4 + sqrt(468))))*-5 + -4)**2. 25200*sqrt(13) + 9173025 Simplify ((-2*-6*2*sqrt(121)*-6)/((2*2*sqrt(66))/(-2*sqrt(96) + sqrt(6))))**2. 698544 Simplify -4 + (-5*sqrt(66)/(sqrt(12)/sqrt(2)) + -5 - (-2*sqrt(66)/sqrt(6) - (-2 + sqrt(396)))**2). -717 + 27*sqrt(11) Simplify 3*(((sqrt(114) + sqrt(114) + sqrt(114) + -1*sqrt(114)*-1 - sqrt(114) - sqrt(114)) + 1*sqrt(114)*-2)/((sqrt(96) + 1*sqrt(96) - sqrt(96))*2))**2 + -5. -5 Simplify (2*(sqrt(190) + sqrt(190)*-1)*1)/((sqrt(40)*-2 + sqrt(40) + sqrt(40))/sqrt(4) + (sqrt(640)*-1 - sqrt(640))) + 5. 5 Simplify (sqrt(84)/(sqrt(30)/sqrt(5)) + sqrt(14))/((sqrt(90)/sqrt(5))/sqrt(9)) - (4*2*sqrt(56))/(sqrt(8) + sqrt(48)/(sqrt(6)*-3)). -10*sqrt(7) Simplify -2*(4*-2*(sqrt(208) - (sqrt(208) + -1)) - (((-5*-2*sqrt(130) - sqrt(130)) + sqrt(130))/sqrt(10) + -2)) + -3. 9 + 20*sqrt(13) Simplify 1*2*((3*sqrt(1088) + 0)**2*1 + 5)*-4. -78376 Simplify 4 + ((0 + sqrt(2)*-2 - sqrt(8)*4) + (4*sqrt(200) - sqrt(198)/sqrt(11)))**2. 1462 Simplify -5 + (4 + (sqrt(35)/(sqrt(35)/sqrt(7)) - sqrt(7)))**2 + sqrt(7)*2*-2 + sqrt(63) + sqrt(63)*-1. -4*sqrt(7) + 11 Simplify -4*((1*2*sqrt(216) - sqrt(216))/sqrt(9))/((sqrt(1452) + sqrt(1452)*-3)*-6). -sqrt(2)/33 Simplify (1*-2*sqrt(170) + (sqrt(170) -
{ "pile_set_name": "DM Mathematics" }
h*g + 6 for l. -3 Let u = -140 - -53. Let v = 99 + u. Solve -3*c + m - v = 0, 5*m - 2*m = -9 for c. -5 Suppose 5*d - 117 = 3*i, -2*d - 3*i - 69 = -5*d. Let o be ((-184)/(-440) - (-2)/11)*5. Solve 4*f + 0 = -12, 0 = -5*y + o*f + d for y. 3 Let b = -11 + 41. Suppose b = 2*o + 4*o. Solve 2*c - 4 = 3*c - o*s, 3*s = 3*c for c. 1 Let z(d) = 3*d**2 + 3*d. Let p be z(-2). Suppose -2*q + p = -g, 0 = g + 2*g. Solve 4*j - 45 = -5*v, -q*v - 1 = j - 21 for j. 5 Let n be 1 + -2 + 5 + 4*-1. Suppose -4*s - 3 + 15 = n. Solve -2*d + 29 = 2*d + 5*p, s*d - 28 = -5*p for d. 1 Let s be (0/((-4)/(-1)))/6. Let q(p) = p + 12. Let x be q(-7). Solve y + x*b = -3 + 19, y + b = s for y. -4 Let p be (-2 + 1 - -2) + 1. Suppose -3 = -p*l + 3*l, l = -5*g + 22. Let r be g/(-35) - (-2)/14. Solve r = -i + 4*c + 17 + 6, -i - c - 2 = 0 for i. 3 Let t(v) be the second derivative of v**5/20 + 5*v**4/12 - 5*v**3/2 - 2*v**2 + 19*v + 1. Let c be t(-7). Solve c*w = 3*u + 6, 4*u - 3*w - 2*w + 11 = 0 for u. 1 Let b(p) = p**2 + 4 + 5 + 1 + 10*p. Let t be b(-7). Let n = -9 - t. Solve n*h - m = 3*m - 10, 0 = -3*h + 5*m - 15 for h. -5 Let j be 188/141*18/8. Solve -5*m + 20 = -j*k, 6*m = 2*k + m + 20 for k. 0 Let z be (-10)/45 + (-2)/(-9). Suppose -7*v + 2*v - 4*n + 87 = z, -2*n + 36 = 2*v. Let m = -13 + v. Solve -3 = -4*b - m*x - x, 3*b + 4*x - 11 = 0 for b. -3 Suppose -13*j + 12 = -12*j. Suppose -7*f = -4*f + j. Let x be ((-130)/f)/5*2. Solve 6*g + x = g - 3*z, 4*z = 16 for g. -5 Suppose l = 4*j + 1, -j = -2*l - 0*j + 9. Let k be 15/(-5) + l + -2. Solve k = 3*x + 2*q - 9, 2 = -x + 2*q - 3 for x. 1 Let k be (-3)/12 + (-99)/(-12). Let f = -152 - -155. Solve 0 = q - 3*r + 5, 2*q + f*r = -0*r + k for q. 1 Suppose 3*y = 2*y - 3*i + 3, 4*i = 2*y + 4. Suppose 10*d - 25 - 5 = y. Solve 4*z = -4*w, 2*z - d*z - 6 = -2*w for z. -2 Suppose 0 = 3*n - 4*j - 14, 2*j - 3*j = n. Let x be -9*n*4/(-12). Solve 2*z = -x - 0, 4*p = 3*z - 7 for p. -4 Let d(i) = 4*i - 13. Let v be d(4). Let j(z) = -z**2 + 7*z - 5. Let w be j(8). Let x = 24 + w. Solve -2*c = -v*h + 3, 0*h = -h + 4*c + x for h. -1 Let u(z) = 3*z**3 + 57*z**2 - z - 15. Let f be u(-19). Solve 0 = 5*m - 3*v + 3 - f, -4*m = -4*v - 4 for m. -1 Let r be (31 - 17) + (1 + -6)*1. Solve 2*s - 5*p + 18 + 3 = 0, -4*s - p - r = 0 for s. -3 Let g(d) = 2*d**2 - 12*d - 49. Let w be g(9). Solve -2*i + w*t + 1 - 7 = 0, -2*t + 6 = i for i. 2 Let b = 21 + -11. Let u = 834 + -832. Solve -2*s + 5*p = -18, -u*s = -0*s - 3*p - b for s. -1 Suppose 19 = 6*p - p - 3*j, j - 7 = -5*p. Solve -k - k - 8 = p*h, 4*h = -2*k - 10 for k. -3 Suppose 5*l = -2*n + 144, -2*l = -l - 2*n - 36. Solve -3*c + 2 - 5 = -2*v, 5*c + l = -5*v for c. -3 Let b be (-6)/(-66)*6 + (-1292)/(-374). Let q(s) = -2*s - 4. Let c be q(-6). Solve 0 = -b*i + c, i = 3*m - i + 19 for m. -5 Suppose 30*j - 976 + 196 = 0. Solve q - 10 = -q, -d + 5*q - j = 0 for d. -1 Let b be 1*(-26)/(-2) + (-75)/25. Solve -d - 4*g = -0*g - 22, 5*d = 4*g - b for d. 2 Suppose 4*k - 22 = 2*w, w = -139 + 138. Solve -3*x + m + 20 = -0*x, k*m = -25 for x. 5 Let o(f) = 4*f**3 + 18*f**2 + 5*f - 7. Let p be o(-4). Solve 5*s = 5*u + 20, -4*u + p*s - 19 - 2 = 0 for u. 1 Suppose 28*n - 23*n + 125 = 5*r, 4*r = -n + 75. Solve -3*g - 35 = -0*f + 5*f, -5*f = r for g. -5 Let r(u) = 3*u - 8. Let a be r(4). Let y be (a/(-8))/((-2)/20). Let z = 2 + 0. Solve -5*m = -z*b + 10, -m = -0*b + y*b - 25 for m. 0 Let u(f) = -f + 10. Let y be u(-3). Let z be 12/(-18) - (-1)/(-3). Let r = z - -4. Solve -2*d - j + y = -0*j, -5*d + 35 = r*j for d. 4 Let d(s) = -3*s**2 + 12*s + 5. Let u be d(4). Solve -2*w + 14 = u*i, -3*i + 4*w - 6*w = -10 for i. 2 Suppose -5*d + w - 51 = -w, 42 = -3*d + 5*w. Let x be d/(-6)*-4*(-2)/3. Solve 0*r + 2*r + 2*m + 4 = 0, 2*r + 16 = x*m for r. -4 Suppose -a + 5 = 1, 0 = -3*y + a + 104. Suppose 4*p - p - y = 0. Solve -2*w + 4*z = 0, -w - 4*z = -6*w - p for w. -4 Let t = 177 - 159. Let j(a) = -a**3 + 5*a**2 - 3*a - 4. Let f be j(3). Let h = 100 + -95. Solve -f*k + 3*k = 3*o - 10, 4*k = -h*o + t for k. 2 Let a be 2*(-14)/4*66/(-154). Solve -w - 5*s = -24, 4*w + a*s - 9 = 2 for w. -1 Suppose -2*z + 92 = 2*z. Let k = 27 - z. Solve 5*r = 0, -12 = -4*s + k*r - 0*r for s. 3 Let m(x) be the third derivative of 0*x + 0 - 1/3*x**3 + 1/12*x**4 + 10*x**2. Let z be m(2). Solve -2*o = z*t + 10, 4*o + 2 = 3*o for t. -3 Suppose 55*u = -42*u + 51*u + 92. Suppose 3*x = 6*x + 9. Let v be 1/1*(-12)/x. Solve 3*s = u*c - 5, 2*s - 4*c - 14 = v*s for s. -3 Suppose -2*h - 10 = m, -5*m - 1 = -h - 6. Let f be -31 - -33 - (-1)/((-3)/(-6)). Solve -x + 4*b - 2*b - 4 = m, 0 = f*x + 5*b - 36 for x. 4 Let n(t) be the first derivative of -t**3/3 - 11*t**2/2 + 15*t + 8. Let g be n(-11). Solve 24 = 4*a + 4*j, -2*a - 7*j + g = -2*j for a. 5 Let a(w) = 2*w**2 - 2*w. Let x be a(-3). Suppose 9*c - x = 21. Solve o + 2*o = 2*l - 5, -2*l - c*o = 19 for l. -2 Let g = -1125 + 1128. Solve -3*r - 9 = 3*n, -g*n + 3*r - r = 9 for n. -3 Suppose -32*o + 5*r = -34*o + 24, o - 3*r + 10 = 0. Let s(g) = -g**2 - 10*g + 5. Let i be s(-10). Solve -k + 6*k = 2*j - o, 3*k - i*j - 14 = 0 for k. -2 Let t(u) = -u**2 - 19*u + 22. Let r be t(-20). Solve 25 = -5*q, 5*x - r*q + 5 = -q for x. -2 Suppose 3*k = -2*b + 8, 0*b + 3*b - 10 = -4*k. Solve f + 2*m = 4*f - 15, k*f - 20 = -5*m for f. 5 Let o be (4/(-10))/((-2)/(-180)). Let y be 4/6 + (-1020)/o. Suppose 31 = 6*q - y. Solve -5*h - c + 24 = -3*c, -5*h + q = 5*c for h. 4 Let h be (11 - 8)*(0 - -1). Let g(v) = v - 1 - h*v - 4 - 3*v. Let p be g(-2). Solve -2*i - p*n + 7 = -6*n, -2*n = 4*i - 10 for i. 3 Let p(z) = z**2 - 4. Let t be (8/10)/((-6)/15). Let d be (-8)/(-2) + -8 - t. Let w be p(d). Solve 0 = -2*n + v - 2, -v + 3 = -3*n - w for n. -1 Suppose -k - u + 7 = 0, 9*u + 4 = 2*k + 6*u. Solve 0 = 3*j - 5*o + 7, k = -5*j + 5*o - 0*o for j. 1 Let j be 2/4 + 11/(-22). Solve 3*w + 4*f + 3 = j, 8*w - 3*w + 19 = -2*f for w. -5 Let z be 1 - -1*(-18)/(-2). Let c(m) = m + 7. Let a be c(-5). Let j be 2 - -3*3*a/18. Solve j*y - 4 + 16 = -5*v, 5*y + z = -5*v for v. -3 Let d(a) = 6*a - 10. Let v be d(6). Suppose -v = -4*c - 14. Solve -3 - 7 = 3*r - 4*k, -5*r - c*k = -22 for r. 2 Let r = -264 + 268. Solve i = 6*i + d - 3, 2*i = -r*d + 12 for i. 0 Let u be (-2)/(-5 + 8/(32/18)). Solve -2*h = -5*f - 20, -u*h = 2*f + 3 + 5 for h. 0 Suppose 0 = 11*v - 505 + 120. Suppose 0 = -u + 6*u - v. Solve -4*r = -3*k + k + 22, r + 2*k - u = 0 for r. -3 Let d = 24 + -13. Suppose 0 = -k - 3*s + d, 0 = -k - 0*s - 4*s + 14. Suppose 0 = -k*b + b. Solve 2*j + b*v - 3 = -v, 4*v - 12 = 5*j for j. 0 Let m be (-91)/(-77) - -2 - (-6)/(-33). Solve m*y + c = 3*c - 15, -5 = y - 5*c for y. -5 Let f be (23/2 - 4) + 38/76. Solve -4*g - 12 = 3*o, 4*o + 8 = 2*g - f for o. -4 Let f be (-1)/(-4) + (495/12)/15. Solve f*w - 5*j = 10, 3*j + 0 - 23 = -4*w for w. 5 Let x = -2 - -7. Suppose 2*t + t = -5*l + 3, l = 3*t - 3. Suppose l = -20*u + 25*u - 15. Solve 0*n = 2*j + x*n + 22, 5*n = -u*j - 23 for j. -1 Let s = -148 - -151. Let d be (-20)/(-4) + 2 + -2 + s. Solve -2*x - 2*m - d = 0, 0 = 5*x + 2*m - m + 16 for x. -3 Let w(a) = a**2 - 2*a + 1. Let l(p) = -6*p**2 + 22*p - 7. Let v(b) = -l(b) - 5*w(b). Let n be v(12). Solve -k - 20 = g - 6*g, -n*g = -6 for k. -5 Let l(q) = q**3 - 6*q**2 + 4*q + 5. Let z be l(5). Solve -3*r + 2*p = -z*p - 2, 2*p = -5*r + 14 for r. 2 Let t be 0/(-1 - 2/2). Suppose 0 = v - 3 - t. Suppose 5 = v*f - 1. Solve -4*b + m + 18 = 0, 5*b + m - 16 - f = 0 for b. 4 Suppose -5*i - 115 = -5*f - 40, i + 3*f = -15. Let b = 20 + i. Solve 3*y = b*m - 0*y + 32, -m = 3*y - 8 for m. -4 Let z be (-45)/(-12) - (-3)/12. Suppose 2*t - z*h + 6 = 0, 4*t - 2*h - 2 = 2*t. Solve t*d - 4 = -4*v + 4, -d = -4*v - 16 for d. 4 Let y(p) = -72*p + 74*p + 3 + 1. Let i be y(-2). Solve i = -s - 5*b - 20, -4*s = -2*b + 8 + 6 for s. -5 Suppose v - 12 = -4*q, -2*v = 11*q - 14*q - 2. Solve v*w - 8 = -28, 2*w = -2*p - 12 for p. -1 Suppose -21*h + 216 = -3*h. Solve p = -2*x + 4 - h, -x - 4*p = 4 for x. -4 Let q(o) = 107*o + 10. Let m be q(0). Solve r - 2*g + 4 - m = 0, -4*r + 4*g = -16 for r. 2 Let d(m) = -2*m - 5. Suppose 0 = -z - 5*x - 20, 5*z + 31 = -x - x. Let w be d(z). Solve 4*f + 5 = -w*k, 5*k + 2 = f - 3 for f. 0 Suppose -2*s + 27 = 3*d, 47 = 3*s - 3*d - 31. Let a = s - 21. Solve -2*w + 3*m - 9 = 0, w + 3*m = -a*m
{ "pile_set_name": "DM Mathematics" }
, 29 Let j be 186/66 - (-10)/55. Suppose j*f = 4*f - 276. What are the prime factors of f? 2, 3, 23 Let g(r) = 644*r**3 + 7*r**2 - 21*r + 23. List the prime factors of g(3). 23, 757 Suppose -4*x - 271 + 969 = -3*g, g + 216 = -2*x. Suppose -10*m - 1363 = -2786 - 1817. Let i = m + g. List the prime factors of i. 2, 7 What are the prime factors of ((-9 - -5) + 146 - -2) + -6? 2, 3, 23 Let o = -19 + 19. Let i = 3 + o. Suppose -w + 25 + 21 = -y, 0 = -i*y. List the prime factors of w. 2, 23 Let k(t) = -29879*t**3 + 49*t**2 + 54*t + 4. What are the prime factors of k(-1)? 2, 14939 Let p = -4505 + 9130. What are the prime factors of p? 5, 37 Suppose 58*x + 712 = 50*x. What are the prime factors of (-32)/(4 + 4)*x? 2, 89 Let t = -111 - -115. Let l be ((-9)/(-6) - 1)/((-2)/t). What are the prime factors of 4 - (-226 + (4 - l))? 3, 5 Let w = 18565 + -10389. What are the prime factors of w? 2, 7, 73 Suppose -30 = 2*p - 7*p. Let n be (-99)/(-6)*((-224)/p)/(-2). Suppose 5*h + 15 = 0, -2*t + 4*h + n = 2*t. List the prime factors of t. 2, 37 What are the prime factors of (-8 - (-7269)/9)*(11 + -2)? 3, 2399 Suppose 1545*x - 1567*x + 246686 = 0. What are the prime factors of x? 11213 Let y(a) = a - 27. Let m be y(-20). Let f = m - -50. Suppose 2*t = g - 88, 348 = 4*g - f*t - t. List the prime factors of g. 2, 43 Suppose 104*y = 81*y + 748696. List the prime factors of y. 2, 13, 313 Let b(n) be the second derivative of 2*n**2 - 1/12*n**4 + 6*n + 0 + 4/3*n**3. What are the prime factors of b(6)? 2 What are the prime factors of (-8546)/(-11) + (-50)/55? 2, 97 Let a(o) = 10*o**2 - 21*o - 328. List the prime factors of a(-22). 2, 3, 829 Let y = 1734 + 1791. List the prime factors of y. 3, 5, 47 Let z(u) = u**2 + 15*u + 23. Let m be z(-11). Let k = -22 - m. Let g(b) = -113*b + 6. List the prime factors of g(k). 7, 17 Let x(f) = -125*f + 44. List the prime factors of x(-30). 2, 7, 271 Let a(u) = 23*u**2 - 235*u + 144. List the prime factors of a(41). 2, 3, 11, 13, 17 Let m = 222 - 215. Let w(u) = 57*u + 16. What are the prime factors of w(m)? 5, 83 List the prime factors of (-5116320)/(-616) + (-4)/(-14). 2, 4153 Let j be ((-99)/2*1)/((-9)/12). List the prime factors of 178/4 - 33/j. 2, 11 Suppose -233 = -2*n + 3*x, 0 = -5*n + x - 3*x + 630. Let o = 3780 - 3853. Let g = o + n. List the prime factors of g. 3, 17 Suppose -21*q + 41753 = 11933. Let k = q + -727. List the prime factors of k. 3, 7, 11 Let c = -1162 - -1982. List the prime factors of c. 2, 5, 41 Let w(r) = 486*r + 6. What are the prime factors of w(9)? 2, 3, 5, 73 Suppose -9*t = -155 + 47. Let k be 5 + (-3)/(t/32). List the prime factors of k/(-4) - (7 + 5047/(-28)). 2, 3, 29 Let j(d) be the third derivative of -d**5/60 - 3*d**4/8 + 25*d**3/6 + 23*d**2. Let n be j(-10). What are the prime factors of ((-6)/9 - n/(-9))*140? 2, 5, 7 Let a = -59895 - -88323. What are the prime factors of a? 2, 3, 23, 103 Suppose 18*y = 16*y - 92. Let f = y - -122. What are the prime factors of f? 2, 19 Suppose 160 - 164 = -2*w. List the prime factors of 16/(-10) + w - 4256/(-10). 2, 3, 71 Suppose -5*x + 6*x + 623475 = 46*x. What are the prime factors of x? 5, 17, 163 Let d be 3225/(-9) + (-12)/(-36). List the prime factors of (-1 - d) + (-54)/27. 5, 71 Let m(v) = v - 3. Let k be m(9). Suppose u = -d, -d + u + 4*u = -k. Suppose -2*x + 3*f - 1 = d, -4*f + 1 = -3*x. What are the prime factors of x? 5 Let i = -44625 + 67439. List the prime factors of i. 2, 11, 17, 61 Let y(h) = 19*h**3 + 9*h**2 + 22*h + 2. What are the prime factors of y(5)? 2, 3, 113 Suppose -4*i = 7*p - 409919, 4*p - 7*i - 234240 = -9*i. What are the prime factors of p? 157, 373 Let n(y) = y**2 + y. Let g be (3 - 2)*(-5 - -4). Let p(s) = -7*s**2 + 10*s + 21. Let i(c) = g*p(c) - 6*n(c). What are the prime factors of i(21)? 2, 3, 7 Suppose 0*l - 44 = -3*b + 5*l, b = -4*l + 26. Let k(t) = -52*t + 2. Let i be k(-1). What are the prime factors of 3318/i + (-8)/b? 61 Suppose 5*n = 3*y + 65, -3*n + 73 = -0*n + 5*y. Suppose -15*z = -n*z + 387. List the prime factors of z. 3, 43 Suppose -4*l - 4 = -5*d, -2*l - 1 = 3*d - 21. Let i(h) = -85*h + l - 2 - 96*h - 4. What are the prime factors of i(-1)? 179 Let x be (2 - -5)*(-20)/(-7). Let r be (-40)/3 - x/(-15). Let u(g) = -g + 3. What are the prime factors of u(r)? 3, 5 Suppose 16*t = 8*t + 216. Let k(h) = -t - 6*h - 3*h - 5*h + h**2 + 18*h. List the prime factors of k(7). 2, 5 Let r(i) = i**2 + 32*i - 43. What are the prime factors of r(-64)? 5, 401 Suppose 67*o - 70*o = g - 27208, 0 = o - 5*g - 9096. List the prime factors of o. 47, 193 What are the prime factors of (-9)/(72/(-16)) + (-18537)/(-1)? 18539 Suppose -5*l - 24*l = -29116. Suppose 731 - l = -3*r. List the prime factors of r. 7, 13 Let u(d) = d**3 + 14*d**2 - 35*d - 5. List the prime factors of u(-15). 5, 59 Suppose 2*z = -6*z - 1800. Let t = 297 - z. What are the prime factors of t? 2, 3, 29 Let g(y) = -7 - 8 + 24*y - y**2 - 3 + 0. Let t be g(23). Suppose -3*z - t*i = -6*z + 512, -2*z = -3*i - 342. What are the prime factors of z? 2, 3, 29 Suppose -2*a - 23 = -337. Let r be ((-3)/4)/(((-105)/(-28))/(-15)). Suppose a = r*o - 296. What are the prime factors of o? 151 Let n(l) = 7*l + 4. Let s be n(0). Suppose -636 = -3*q + 3*b - 0*b, -q + 192 = s*b. List the prime factors of q. 2, 13 Suppose 0 = -4*y + 8. Suppose -y*f = 109 - 559. What are the prime factors of f? 3, 5 Let p(c) = 5*c**3 - 51*c**2 - 39*c + 111. What are the prime factors of p(20)? 11, 1721 List the prime factors of (-24)/348 + 421680/290. 2, 727 Let j be 4/(-5) - 54792/(-40). Let q = j + -691. List the prime factors of q. 2, 3, 113 Let z be 6 + 1*(-6)/6. Suppose 3*g - 2*a = 1655, -4*g + z*g = -2*a + 541. What are the prime factors of g? 3, 61 Suppose 130*b = -17306 + 57086. List the prime factors of b. 2, 3, 17 Let d(s) = 23*s - 296. Let h be d(13). What are the prime factors of ((-18850)/(-75))/((10/h)/5)? 13, 29 Let d be 6/2 + (-3)/(-6)*2. Suppose 0*u - 4*m = d*u - 40, 4*u + 5*m = 42. Suppose u*h - 9*h = -71. List the prime factors of h. 71 Let i(v) = v**2 - 73*v + 830. Let d be i(59). Let a be (-2)/(-4)*(1 + 1). Suppose 4*x = -4*w + 320, -w = -d*x - 76 + a. List the prime factors of w. 79 Suppose -8*j + 40 - 16 = 0. Suppose -j*m + k - 995 = -5*m, 2505 = 5*m - k. List the prime factors of 3*(m/12 + 4). 137 Let r(a) = -68*a + 49. Let t be r(8). Let m = t + 894. List the prime factors of m. 3, 7, 19 Let z(k) = -3*k + 51 - 18 + 164*k**2 - 32. Suppose 3*i - 8*i - 13 = 2*x, 0 = 3*x - 5*i - 18. What are the prime factors of z(x)? 2, 3 Let d(g) = 10*g**2 + 116*g - 5. What are the prime factors of d(13)? 31, 103 Let f be 5/(-5)*-463 - -6. Let i = f + -247. What are the prime factors of i? 2, 3, 37 Suppose 81*f = 88*f + 2156. Let a = f + 315. List the prime factors of a. 7 Let s = 63 + -36. Suppose -s*b + 9737 = -4708. List the prime factors of b. 5, 107 Let v = 62 + -1. Suppose v = 6*g + 13. Suppose 3*p = g*p - 590. List the prime factors of p. 2, 59 Let q = 967 + 4517. What are the prime factors of q? 2, 3, 457 Let m(k) = -7 - 2*k**2 + 12 - 4*k - 6. Let b be m(-4). Let u = -5 - b. What are the prime factors of u? 2, 3 Suppose 0 = 39*a + 7936 - 11748 - 66544. List the prime factors of a. 2, 11, 41 Suppose -9*d = 48*d - 6*d - 85068. What are the prime factors of d? 2, 3, 139 Suppose 0 = 62*g + 117*g - 88600 - 21306. List the prime factors of g. 2, 307 Let i be (2945/2 - -5)*(-8)/10. Let t be (i/(-4))/(24/64). Suppose -22*y + t = -18*y. What are the prime factors of y? 197 Let h(t) = -t**3 + 13*t**2 - 16*t - 141. Let n be h(10). Suppose -10 = -5*q - 0. List the prime factors of (48 + 3 + n)*(0 + q). 2, 5 Let r = 59 - 34. Let q = r - -101. Suppose -4*u - q = -450. List the prime factors of u. 3 Let n(y) = -8*y - 140. Let c be n(-19). Let p(s) = 67*s + 212. What are the prime factors of p(c)? 2, 127 Suppose -5*a + 4 = -6. Suppose 0 = 2*p + a*o - 492, p - 5*o = 17 + 223. Suppose -d + 2 + 45 = -r, p = 5*d + 5*r. List the prime factors of d. 2, 3 What are the prime factors of (4 + -775 + -2)/((-21)/987)? 47, 773 Let d(o) = 7*o + 44. Let c be d(-6). Suppose -c*y - 5*b = -1269, -3*y - y + 2553 = -5*b. What are the prime factors of y? 7, 13 Let z = 3 + 0. Suppose -4*o = -z*c - 7, -4*c = 2*o + 1 + 1. List the pr
{ "pile_set_name": "DM Mathematics" }
-m*v - q = -f for v. 2 Let d = -3608 + 3631. Solve 28*l = d*l + 25 for l. 5 Let j(f) = -f**2 + 19*f + 49. Let o(s) = -2*s**2 - 25*s + 9. Let k be o(-12). Let z be j(k). Solve -5*d + z*d = -8 for d. -4 Let j(g) = -g**3 + 10*g**2 + 2. Let m be (12/9)/(22/165). Let w be j(m). Solve -w*x + 0*x = 0 for x. 0 Suppose -466 = 9*t + 1874. Let v be t/(-78)*(-36)/(-10). Solve 3*h + v = -3 for h. -5 Let y = -2454 - -2458. Solve -16*p + 20 = y for p. 1 Let n(u) = -u**2 + 21*u + 47. Let v be n(23). Let o be (v/(-3) + 1)/(3/36). Solve -l = -3*l - o for l. -4 Let x be (-6)/(-7)*(-325927)/(-202). Solve 6*o = x - 1425 for o. -7 Let g = -36013 + 36105. Solve -g*f - 56 = -99*f for f. 8 Let r be (-107)/(-4) + 0 + 1 + 6/(-8). Solve -r*h + 175 = -2*h for h. 7 Let h(x) = 3*x + 26. Let s(u) = u. Suppose -5*z + 10*z = -25. Let r(i) = z*s(i) + h(i). Let a be r(8). Solve -m - a = -3*m for m. 5 Suppose -1220 = -48*u + 76. Solve 0 = 10*o + 17*o + u for o. -1 Let a(o) = -o**3 - 6*o**2 - 6*o - 1. Let l(g) = -3*g + 14. Let j be l(4). Suppose 0 = j*n - 0 + 10. Let s be a(n). Solve 0 = s*h - 5*h - 5 for h. -5 Let m be ((-9)/(-6))/(12/(-376)). Let r be (-56)/1 - -4 - -2. Let t = m - r. Solve t*v = v for v. 0 Let n = 193 + -181. Let t be (-187)/(-27) + n/162. Solve -t*y = -10*y - 6 for y. -2 Let w = 2 - 0. Let t be w + 0 + (-1 - -2). Let b = 734 - 732. Solve -t*m = -b*m for m. 0 Let u be 156/8 + -4 - 9/6. Suppose 15*r + 3 = u*r. Let p(x) = 2*x + 7. Let q be p(r). Solve -j - q = -4 for j. 3 Let h = -11103 - -11110. Solve 12*g - 17*g = h*g for g. 0 Let l be (-12)/60 + (-452)/(-10). Suppose 8*c = 3 + l. Solve -1 = -c*m - 7 for m. -1 Let a(l) = 2*l**2 + 53*l + 341. Let r be a(-19). Solve -50*p + 36*p = -r for p. 4 Suppose -211*x = -252*x + 5904. Solve 101*z - 85*z - x = 0 for z. 9 Suppose b - 52 = g - 0, -4*g + 12 = 0. Solve -b = 8*f - 71 for f. 2 Let v(r) = r**3 + 16*r**2 - 42*r - 101. Let d be v(-18). Solve 24 = -d*m + 52 for m. 4 Let k = 768 - 771. Let i be (k/4)/((-9)/108). Solve -2*c = -1 - i for c. 5 Let k be ((-4588)/(-930) + (-2)/(-5))*(4 - 1). Solve -23*z = 30 + k for z. -2 Let m(u) be the first derivative of u**3/3 + 7*u**2/2 + 11*u + 22. Let v be m(-6). Suppose -8 = a - v*a. Solve 3 = -a*g - 7 for g. -5 Let t(c) = c - 2. Let v(o) = -20*o + 72. Let a(k) = 16*t(k) + v(k). Let f be a(9). Solve f*r - 9 - 7 = 0 for r. 4 Let f = 172 + -170. Let n(p) = p**2 - 7*p - 3. Let v be n(8). Suppose v*u + 2*u = 0. Solve u = -f*a + a - 1 for a. -1 Suppose 19*n = 24*n - 3*v - 2739, -2*v = 16. Solve 513 = 10*b + n for b. -3 Suppose -11*u - 25 = -201. Let y be (2 + -2 + 1)/(2/u). Let k(t) = t**2 + 6*t + 3. Let d be k(-7). Solve -y*h + 10*h = -d for h. -5 Let r be (21*8/(-36) + 4)*-12. Let b be 1/(r - (-220)/(-28)). Solve -b*n + 3*n - 8 = 0 for n. -2 Let m = 834 - 1170. Let d = 338 + m. Solve d*c - 5*c - 9 = 0 for c. -3 Let x(a) = -12*a**2 - 110*a + 7. Let p be x(-9). Solve -18*s - 42 = -p*s for s. 6 Let t = -43 + 764. Suppose -3*v = 197 + t. Let h be ((-4)/(-6)*-1)/(68/v). Solve h*c = -c for c. 0 Let s be (-3)/4 + 1080/32. Suppose 39 - s = 3*c. Suppose -a - 3*w = -15, 3*a = c*a + 5*w - 17. Solve -h - a = -6 for h. 3 Let d = -61 + 69. Suppose d*m - 11*m + 6 = 0. Suppose m*b - 4*q + 16 = 3*b, -5*q = 4*b - 31. Solve 8 = 2*j + b for j. 2 Let k = 7312 + -7284. Solve -6*b + 2*b - k = 0 for b. -7 Let g = 27 - 26. Let q be (g + 1)/(4/138) + -2. Let b = q + -63. Solve d - 2 = -b for d. -2 Let o(g) be the third derivative of -g**5/15 - 7*g**4/2 + 5*g**3/2 - 58*g**2 - 1. Let c be o(-21). Solve 0 = -46*y + 49*y + c for y. -5 Let f(s) = 5*s + 80. Let g be f(-15). Suppose 0*r = g*r. Solve r = -5*w + 12 + 13 for w. 5 Let k(s) = -s**2 - 13*s + 424. Let r be k(15). Let c be -3 - (1 + 4*-1). Suppose 5*v + 5*f - 5 = c, r*f + 0 - 4 = 3*v. Solve v = -4*y + 1 - 17 for y. -4 Let d(g) = g**3 + 3*g**2 + 2*g - 4. Let t be d(-2). Let k be (16/t - -2) + (1 - 1). Let o be 1 + (3 - (-3 + 3 - k)). Solve -o = j + j for j. -1 Let r(s) = -48*s - 35. Let t be r(-5). Let u = t + -190. Solve -u = -2*g - 3*g for g. 3 Suppose 0 = -20*q - 37*q + 8*q. Solve -213*t + 216*t + 12 = q for t. -4 Let n be (-15)/(-10) + 15/6. Let c be -1*(n + 0) + 4. Solve -2*b - 5*b + 35 = c for b. 5 Let s = -24790 + 24795. Solve -42 = -s*t - 2*t for t. 6 Suppose 29*d - 684 = 11*d. Solve 62 = -d*b - 14 for b. -2 Suppose -12*t - 2397 = -13*t - 16*t. Solve 0 = t*c - 138*c + 15 for c. -5 Let c be 6 + 2 + -2 - -12. Suppose -6*w = c - 36. Solve -5*r + 17 + w = 0 for r. 4 Let b = -7228 + 7257. Solve -16*g = b*g + 90 for g. -2 Suppose -2*m + 4*d + 6 = -0*d, -5*m = -3*d - 15. Suppose f + 16 = 4*q, q + 3*f = -m*q + 32. Suppose -58 = -4*v - 2. Solve -q*j = v + 1 for j. -3 Suppose -u - 11 = -45. Suppose -u*m + 10*m = 0. Suppose -2*b + 0*j + 3*j + 19 = 0, 5*b + j - 22 = 0. Solve 0 = -c - m*c - b for c. -5 Suppose -r + 4*i = -63, 5*r - 83 = -4*i + 232. Let h = r + -60. Suppose -h*b = b. Solve b*p - 8 = 2*p for p. -4 Let b be (-6)/14 + (-24843)/(-343). Suppose -23*p = -15*p - b. Solve -4*v + 15 = -p*v for v. -3 Suppose 6081 - 1540 = 239*z. Solve 33*q - z*q - 42 = 0 for q. 3 Let u = 11356 + -11343. Solve -u*l + 7 = 20 for l. -1 Let x(j) = -j**3 + 16*j**2 + 125*j + 17. Let g be x(21). Solve 0 = -110*y - 113 - g for y. -5 Let t = 3647 - 3624. Solve -12 - t = -7*o for o. 5 Let l(f) = -8*f**2 + 36*f + 39. Let p be l(5). Solve p*k + 14 = -81 for k. -5 Let j(s) = 3*s**2 + 10*s + 7. Let x be j(-4). Suppose -2*m + 2*r = m - 12, r = 4*m - 16. Suppose -37 = m*t - 53. Solve t*l - l = x for l. 5 Let r = -68 + 53. Let p be (2 + (-256)/40)/(3/r). Solve p*m + 6 = 19*m for m. -2 Let z = -11 + 11. Suppose 4*b = h - b - 25, -b + 7 = h. Solve z + h = -2*n for n. -5 Let m be 2/(4/58) + 9 + -12. Let r = 31 - m. Solve 9*l + 4 = r*l for l. -1 Let u(s) = 303*s + 648. Let p be u(-2). Solve -7*z = 14*z - p for z. 2 Let l be 150/(-14) + (-2)/7. Suppose -12*h + 5 = -17*h, 3*s + h = 77. Let k = l + s. Solve k*n - 17*n = -4 for n. 2 Suppose 0*c - 4*c - 3*m + 6 = 0, -4*c = 4*m - 4. Suppose 6*b + c = 27. Solve b = 3*h + 1 for h. 1 Suppose 74*l = -310*l. Let b be (-9 - 1)/(2*-1). Let o = b - 2. Solve -o*y - 1 + 16 = l for y. 5 Suppose -1 = -x + 3*d - 14, 0 = -5*x + 4*d - 10. Let r be -1*4/x + (-11 - -43). Solve 3*t + 7*t - r = 0 for t. 3 Let d(l) = -3*l**2. Let x(p) = -21*p**2 - 23*p + 12. Let i(j) = -6*d(j) + x(j). Let h be i(-8). Solve 6*v + h*v - 4*v = 0 for v. 0 Let i = 52 - 57. Let q be (-51)/(-15) - -5 - 3/i. Suppose -7*v + q*v - 4 = 0. Solve 2*g + 4 = v for g. -1 Let m(s) = 2*s - 8. Let a be m(26). Suppose -6*h - a = -28*h. Solve h*j = 4*j for j. 0 Suppose 17*v = 10*v + 1806. Let s = -253 + v. Solve 4 = -s*m + m for m. -1 Let p = -14 - -19. Suppose -p*y + 144 = y. Let k be (-8 - -3)*y/(-10). Solve -3*l - k = -3 for l. -3 Let p be (-30)/(-34 + 12 + 19). Solve -82 = p*f - 12 for f. -7 Let y(c) be the third derivative of -c**5/60 + c**4/6 - c**3/6 + 5*c**2 + 2. Let t be y(2). Solve t*b - 3 = -6 for b. -1 Let p(j) = -j**2 - 6*j + 19. Let w be p(-8). Suppose 5*f - 14 = w*f. Suppose f*o + 14 = 42. Solve -2*s = -0*s + o for s. -2 Let j = 2024 - 1666. Solve j = 15*a + 253 for a. 7 Let i(c) = c**3 + 7*c**2 - c + 9. Let o be i(-6). Let v be (-4)/(-10)*(o + -16). Solve 11 = -5*b - v for b. -5 Let u be 12*(38/57 - -3). Solve 165*m - 176*m = u for m. -4 Let k(l) = 42*l - 234. Let m be k(6). Let y be -2*m/6 + 6. Solve y = 4*n + 15 + 1 for n. -4 Let g(v) = v**3 + 4*v**2 + v + 2. Let o be g(-2). Suppose -264 = -o*c - 64. Suppose 39 = 4*n + q, 0 = 3*n - 3*q + 7 - c. Solve 2*b + n = -b for b. -3 Let a(t) = -4*t**2 + 277*t + 218. Let p be a(70). Solve -p*k = 213 - 165 for k. -6 Suppose 6*g = 9 - 3. Let v = 96 - 89. Solve -g = -2*n - v for n. -3 Suppose -6*n + 801 + 866 = -271. Solve 0 = n*m - 350*m - 27 for m. -1 Let p be (-4 - -1) + (-3)/2*-4. Suppose 0 = -7*m + p*m, 0 = -2*d + 5*m. Solve n - 3 + 7 = d for n. -4 Let l be (-13 + (-345)/(-30))*(-30)/9. Let f(k) = -k**2 - 6*k - 2. Let p be f(-4). Solve l*z - 14 = p for z. 4 Suppose -l = -4*g - 35, -g + 25 = -6*g. Let v(d) = 3*d**2 - 4*d**2 - 4 - 9 + 16*d. Let c be v(l). Solve c*k = -0*k - 8 for k. -4 Let m(n) = n**3 + 20*n**2 + 24*n - 159. Let u be m(-18). Solve -7*f + 22 = u for f. -5 Suppose 0 = 3*l + 2*l - 10. Suppose 0*r - 2 = -l*r. Let s be (-30)/(-30) - r/
{ "pile_set_name": "DM Mathematics" }
Solve -f - w*c = -3 - 5, -f - 2*c = -6 for f. 2 Suppose l - 3 = -0*l. Let x be -1 - (l - (-8)/(-2)). Suppose -3 = 3*u - x, -4*n + 14 = -2*u. Solve -35 = 5*t - 3*a, -5*t + 17 = -n*t + 5*a for t. -4 Suppose 33 = 10*b + 3. Solve -b = -g, -3*g + 3 = -3*w + 9 for w. 5 Suppose -7 - 5 = -3*f. Let w be (4 + -2 + -1)*1. Solve f*r - 8 = t - 3*t, t - w = -r for t. -2 Let i(d) = -3*d + 4. Let o be i(-4). Suppose 4*n - o = 2*n. Suppose 0 = -3*z + 7 + n. Solve -5*j = -25, k + 7 = z*k + 3*j for k. -2 Let t be -1*3/3 - 0. Let r = 2 - t. Suppose 0 = 4*l - 19 + 3. Solve -l*m - 4*k + 3*k = 15, -r*m - 5*k = -10 for m. -5 Let w = 65 - 60. Solve -3*y - 15 = 2*k, w*k - 3*y + 24 = -6*y for k. -3 Let z be 8/(-12) + 40/6. Let r = -2 + z. Suppose l + l = -r*i + 10, -l - 7 = -i. Solve 4*w - 8 = -p, -6 = -i*w + w + 5*p for w. 2 Suppose -5*i + 44 = -k, 5*k - k + 100 = i. Let o = k + 29. Suppose 3*j - 2*j + 9 = 3*s, s = j + 1. Solve -2*y - 2 = 2*z, s = -4*z + 6*y - o*y for z. -1 Suppose -9 = 4*a - a - 3*u, -2*a + 5*u - 6 = 0. Let n be 21 + -1 + 2 + a. Solve 2*m = 2*z + z + n, -z = -2*m + 13 for m. 5 Let y be ((-9)/2)/((-1)/(-2)). Let j = y - -14. Solve -i + 13 = 3*i + 3*w, -5*w = j for i. 4 Let x(i) = -4*i - 9. Let n be x(-3). Solve 6*p + 13 = p - k, -n*p - 12 = 2*k for p. -2 Suppose 3*g + 3 = 33. Solve 7 = 4*f + d, -5*d - g = -4*f + 27 for f. 3 Let b(r) = 2*r + 6. Let m be b(-2). Let u = 2 - 2. Suppose u = -m*i + i. Solve -5*d - 3*t = 1, 0 = -d - i*d - 5*t - 9 for d. 1 Let q = -13 + 15. Let m = q - -3. Solve -4*u = 4*x - x - 19, m*u + 2*x = 15 for u. 1 Let h(x) = x**3 - 4*x**2 - 8*x - 2. Let c be h(6). Solve 3*l = -4*w, 2*w - 5*l = -l - c for w. -3 Suppose -2*m = 3*m. Solve m = 5*t + k + 12, t - 4*t - 24 = -5*k for t. -3 Let p be ((-1)/1)/((-28)/112). Solve 3*n - 11 - p = 0, -1 = i - n for i. 4 Let i be (-10)/(-5)*(0 + 1). Let v(d) = -1 + 0*d + d - i. Let c be v(4). Solve -5*p + 2 = 4*m + c, m = -2*p - 2 for p. -3 Let f be (4 + -2)*3/(-3). Let x be 16/6 + f/(-6). Solve x*y - 2*r - 12 = 0, 4*y = 3*y + 2*r + 4 for y. 4 Let b be 4/(-3)*3/(-2). Suppose 3*s + b*s - 20 = 0. Suppose -5*y + 44 = -s*i, -6*y + 3*i = -2*y - 36. Solve 2*l = -c - 7, 1 + y = 2*c - 5*l for c. -1 Let n be 1*(-2)/(-6)*(13 - 4). Solve -n*t - 8 - 4 = i, 2*t = 4*i + 6 for i. -3 Let m = 11 + -4. Let w = 5 + 0. Let p(n) = n**3 + 9*n**2 - n - 8. Let y be p(-9). Solve w*b + 24 = 3*g, -2*g = 4*b + m - y for b. -3 Suppose -f = -0*f + w - 2, -1 = w. Suppose 6*r - f*r - 9 = 0. Solve -2*i = -0*i - 4*g - 24, -4*i + r*g + 28 = 0 for i. 4 Let w(n) be the third derivative of -n**6/120 + 13*n**5/60 + 3*n**3/2 - 6*n**2. Let z be w(13). Solve -6 = -3*f, y - 4*f + z = -3 for y. -4 Let o = -10 + 15. Solve -3*a - 3*h + 25 = -5*a, 2*h = o*a + 35 for a. -5 Suppose j + 22 = -3*g + 6*g, -2*g - 5*j + 26 = 0. Solve 2 = -h, 5*h + g + 8 = 3*l for l. 2 Let z(v) = -2*v + 43. Let q be z(18). Suppose -5*x + 0 = -20. Solve -10 = x*c - q*a + 4*a, -4*c + 5*a - 14 = 0 for c. -1 Let y(j) = -j + 15. Let k be y(8). Let p = k - 4. Suppose -6 - 3 = -3*o. Solve -r - 12 = -2*u - p*u, -r + o*u - 6 = 0 for r. 3 Suppose -2*x + 7 = 3. Suppose -5*o = -3*o - 5*f - 23, o = 3*f + 14. Let j = o - -3. Solve 5*r - 28 = -2*g, x*r = g - j*r + 12 for g. 4 Let c = 4 + -10. Let b be (2*-1)/(3/c). Solve -s - v = b*s, -24 = -4*s + 4*v for s. 1 Let o = -2 - -2. Let l = o + 5. Suppose 0*u - 3*k = -5*u + 3, 4*k = l*u - 4. Solve 1 = -2*z - r, 4*z + u = -4*r + 4 for z. -2 Suppose 7*j - 2*j = 55. Let u = 15 - j. Solve -u*n - v = 1, -5*n + 4*v + 12 + 13 = 0 for n. 1 Let h be -3 - -3 - -2*9. Solve n - 2*c = -2*n - 8, 3*c = -3*n - h for n. -4 Suppose -2*k - 23 + 33 = 0. Solve 2*s = -5*i, -3*i - 2*s = -k*i + 14 for i. 2 Suppose -2*q = 2*q + 4. Let d be q + 2 + (-4)/(-2). Solve 0 = -d*g - 15, s + 3*g + 27 = -2*g for s. -2 Suppose 2*s - 6 = -x, s = 6*x - 4*x + 13. Solve 0 = s*r + 2*w + 13, 8*w = 2*r + 3*w - 18 for r. -1 Suppose -4*v - 5*m - 4 = 0, -3*m = 2*v + 6 - 2. Solve -d - v*p - 7 = 0, 0 = 3*d + 2*p - 0*p - 9 for d. 5 Let b = 3 + 17. Let l(f) = -4*f**3 - 1. Let a be l(-1). Suppose 16 = c + a*c. Solve -c*j - b = -0*j, -2*j = 2*m + 20 for m. -5 Suppose 2*n - 28 + 6 = 0. Solve -4*o + 7*o + 5*h = -n, 6 = -4*o + 2*h for o. -2 Suppose -2*h = -4*h - n + 4, 20 = 2*h + 5*n. Suppose k + 1 - 4 = h. Solve 2*z = -x + 3, 0*z - 2*x - k = -5*z for z. 1 Let r = -37 + 39. Solve 2*x + f + 2 = 4, 5*x - r*f = 5 for x. 1 Let y be (-11)/(-5) - (-12)/(-60). Suppose 0 = -y*s + 1 + 9. Solve -d + 1 = -5*j, -s*d + 2*j - 3 = 15 for d. -4 Let h(x) = -4*x - 6. Let j be h(-2). Solve -j*t - 4 = -a, -3*t = 3*a - 8*a + 6 for t. -2 Suppose -3*f = -3*g + 9, 0 = -2*g + 3*f + 7 - 1. Solve -g*l = -b + 2, -4*l + 9*b + 12 = 4*b for l. -2 Suppose 0*d - 45 = -3*d. Solve 0 = 5*v - 0*x + 5*x + 45, -5*v + x = d for v. -4 Suppose -4 = -4*n, -n = 3*u + 4*n - 23. Let q = 0 - -3. Suppose -q*p = -15 - 0. Solve -8 = p*z - o, u = -0*z + z - 4*o for z. -2 Let p = 5 - 2. Suppose p*j = j + 4. Solve -10 = 5*x + 2*l, 4*x + j*l + 3 = -7 for x. 0 Suppose 3*a = -a. Solve -1 - 7 = 3*d - 2*j, 4*d - j + 4 = a for d. 0 Let u(w) = w**2 + 4*w - 3. Let n be u(-5). Let m be (-156)/(-27) - 2/(-9). Let x = m + -3. Solve -n*l - 4*o + x = 1, -5*l - o = 13 for l. -3 Suppose 4*l + l = 5*g + 45, -3*g - 3 = 3*l. Solve 4*b + 8 + 37 = 5*h, -2*b - 30 = -l*h for h. 5 Let i(a) = a**3 - 6*a**2 + a - 2. Let b be i(6). Solve k - 4*p + b = 3*k, 0 = -3*k - 5*p + 5 for k. 0 Let b(y) = y**3 + 12*y**2 - 14*y + 3. Let f be b(-13). Let t = -32 - -56. Let i = t + -16. Solve 2*v + 2*h + f = 0, 2*v - 4*h + i*h + 24 = 0 for v. -4 Let n(k) = -4*k + 5. Let h be n(5). Let y = h - -17. Solve -f = 3*c - y, c - 2*f + 6 = -f for c. -1 Let t be (3/(-2))/((-15)/20). Solve -3*f = -2*m - t + 7, 0 = -5*f - 3*m - 21 for f. -3 Let d(u) be the third derivative of -u**4/12 - 4*u**3/3 - 6*u**2. Let m be d(-6). Solve 4*c + 2*q - 13 = 1, -m*c + 19 = 3*q for c. 1 Let m(x) = -2*x**2 + 9*x - 1. Let c be m(4). Solve -6*t - 4*v + 13 = -c*t, 4*t - 5*v = 7 for t. 3 Let z(l) be the first derivative of l**3/3 + 5*l**2 + 13*l - 8. Let o be z(-9). Solve -19 = j - o*p, -4*j + 0*p - 2*p = 4 for j. -3 Suppose -2*b + 20 = 3*b + 5*j, 5*b + j - 12 = 0. Solve -3*k + 8 = l, 2*k + b*k - l + 1 = 0 for k. 1 Let n = 52 - 50. Solve -w = 5*q + 20, 0 = -7*q + n*q + 2*w - 20 for q. -4 Let u be 10/35 - (-24)/14. Suppose u*y + 0*y - q = 15, -3*y - 3*q = 0. Suppose v = -3*v + y*m + 12, 0 = 4*m. Solve 5 = -5*s, 0 = v*l + 2*s - 2 + 10 for l. -2 Suppose -5*d + 12 = -78. Let l = d - 13. Solve -a = 4 - 5, -3*a = l*v - 28 for v. 5 Let v(t) = -t**3 + 2*t - 1. Let w be v(1). Suppose 4*b + b - 10 = w. Solve u + 7*m - b*m + 10 = 0, u = -m + 2 for u. 5 Let d(t) = -2*t + 4. Let b be d(6). Let i be b/(-5) + (-8)/(-20). Solve 0 = -3*z + 5*v - 6, -i*z - 4*v + 22 = 4 for z. 3 Suppose i - 1 = -2. Let d be (i - -1)*(-2 + 3). Let a = 17 - d. Solve 4*k + a = -3*u, 5 = 2*k - 4*u - 3 for k. -2 Let h(p) = p**3 - 3*p**2 + 6*p - 3. Let y be h(5). Suppose -5*w + w = -d - y, -2*d + 6 = 0. Solve n = -0*c + c - 4, w = -2*n + 5*c for n. 0 Suppose 5*d - 3 = 4*u - 35, -5*u + 5*d + 40 = 0. Let a be (-5)/2*u/(-5). Solve 4*r - a*c - 20 = 0, -4*c + 9 = -3*r - 9*c for r. 2 Suppose 0 = -5*s - 25, 2*z + 5*s + 8 = -3. Let i = z - 5. Solve 20 = -4*u + 2*u - 4*g, 10 = -2*u - i*g for u. 0 Let b be (-76)/(-28) + 6/21. Let k be (-3)/9 - (-7)/b. Solve 2*r + 2*v = 5*v - 2, 0 = -k*r + 4*v for r. -4 Let v(f) be the first derivative of f**3/3 - 5*f**2/2 - 2*f + 2. Let w be v(6). Solve -2*g + 19 = -5*z, 3*z + 1 = -0*z - w*g for z. -3 Let v be -1 - (4/(-18) - 258/54). Solve -5*o - v - 25 = s, -o = s + 9 for s. -4 Let v = 8 + -7. Let z(r) = r**2 + r + 6*r - 2 + v - 2*r. Let q be z(-6). Solve 5*p + 0*l = q*l + 10, -5 = -4*p + 3*l for p. -1 Let n = 179 + -158. Let i(s) = -s + 5. Let a be i(0). Let z = 0 + 0. Solve z = 3*y + 3*k - 18, y - n - 5 = -a*k for y. 1 Let p be (2/(-8) + 24/32)*10. Solve -p*z = -3*i - 0*i + 30, 0 = -3*i - z + 12 for i. 5 Let q(b) = -b**2 + 11*b + 1. Let w(o) = -o**2 + 10*o + 2. Let z be w(9). Let m be q(z). Solve -2*f = 2*r - 2, -r - 4*f + m = -0 for r. 1 Let a be ((-2)/(-6))/((-19)/(-114)). Solve -15 = 4*l + 3*n, -a*n + 3*n + 5 = -3*l for l. 0 Let q(r) = r - 3. Suppose 5*f = -2*p - 17 - 4, 24 = -5*p - 3*f. Let z = p - -8. Let j be q(z). Solve
{ "pile_set_name": "DM Mathematics" }
of 0.1 and -1.923? -0.1923 -1761438*1 -1761438 What is the product of 0.067382 and -0.5? -0.033691 15954 * 5 79770 1 times 197884 197884 Work out -20 * -15685. 313700 -19004.4*-3 57013.2 Work out -5 * -7071. 35355 2.49*15364 38256.36 Product of -0.1 and 43846. -4384.6 What is the product of -0.07 and -129422? 9059.54 Product of -1.302 and 40.6. -52.8612 -7 * -103882 727174 Multiply -0.3 and 0.02828. -0.008484 What is the product of 26062 and -4? -104248 -26.94 times 0.09 -2.4246 -4 times 83966 -335864 -616686*2 -1233372 Calculate 8057*-169. -1361633 2.1*-24.21 -50.841 Work out 4011 * 143. 573573 What is 4586 times 1.2? 5503.2 Multiply 0.316 and 1.28. 0.40448 Product of -19.3399 and -13. 251.4187 0.637 * 5.85 3.72645 -644*-111.4 71741.6 What is -71569 times -0.5? 35784.5 721.743*-2 -1443.486 Calculate -0.1*946213. -94621.3 Product of 0.1413 and -22. -3.1086 Work out 23097 * -0.4. -9238.8 Multiply 4.36 and 54. 235.44 Work out -19224 * -0.005. 96.12 -32 * -1427 45664 What is the product of 0.57 and -0.04906? -0.0279642 Multiply -5529.4 and 0. 0 Calculate 0.2807*-0.3. -0.08421 0.9*-490501 -441450.9 Product of 0.02243714 and 3. 0.06731142 Work out 566 * 58. 32828 2 times 147.9 295.8 Work out -0.141754 * -3.8. 0.5386652 Product of 0.0552 and -6.1. -0.33672 Calculate -15*-362. 5430 -0.5 times 9.4908 -4.7454 What is the product of -20 and 62825? -1256500 0.4 * 7.22096 2.888384 What is the product of -486 and 0.0046? -2.2356 Product of 0 and -0.00345. 0 -307232*-2 614464 Product of -0.046877 and 1.2. -0.0562524 0 times -51042.5 0 Multiply -1 and -0.00994. 0.00994 -56*-1092 61152 112157 times -1.6 -179451.2 Product of 0.3234 and 6. 1.9404 -0.1*10.7522 -1.07522 What is 4 times 0.09273? 0.37092 Calculate 228.55*-40. -9142 0.0061 * -0.0186 -0.00011346 Work out 0.047 * -2. -0.094 What is the product of -0.34052 and 0.1? -0.034052 What is the product of 395.175 and 3? 1185.525 What is -0.3 times -775979? 232793.7 Product of 21965 and 0.77. 16913.05 Work out -0.3 * -4.12927. 1.238781 Product of 1020070 and 0.2. 204014 -0.22 * -5918 1301.96 Work out 1.68846 * -5. -8.4423 -1.711 * -98 167.678 Calculate 14*-14.688. -205.632 What is -0.06 times 2505? -150.3 What is the product of -12607.5 and -0.09? 1134.675 Work out 64 * -0.875. -56 Multiply 136 and -9.296. -1264.256 Work out -0.14 * 29994. -4199.16 -0.44 * -0.25823 0.1136212 What is the product of -8655 and -71? 614505 -7.2633 * -2 14.5266 Multiply -11 and 0.9468. -10.4148 Multiply -0.14 and 109769. -15367.66 What is 0.016 times -3244? -51.904 Work out 351 * -229. -80379 Calculate -0.1*231. -23.1 What is -78 times 66.5? -5187 What is the product of -1.9 and -19995? 37990.5 What is the product of -13344 and 0? 0 What is 0.07534 times -13? -0.97942 Multiply 430 and 3613. 1553590 Multiply 0.283 and 27. 7.641 Work out 6678.17 * 1. 6678.17 1986 * -52.2 -103669.2 572.8544 times -0.3 -171.85632 Work out 0 * -335898. 0 What is the product of -2.69437 and 0.4? -1.077748 Product of 0.038 and 0.036. 0.001368 -0.123*-450 55.35 -209800 times 4 -839200 What is 8 times -329.3? -2634.4 Work out -0.00563 * 18.7. -0.105281 Multiply 143544 and 0. 0 What is 229 times 0.037? 8.473 3*24780.4 74341.2 -11032*9 -99288 Calculate -88*593. -52184 Work out -461 * 0.0423. -19.5003 0.377 times 137 51.649 0.1 times -4205.5 -420.55 0.1 * 3544 354.4 -3 times -135.458 406.374 4942 * 18 88956 What is the product of -3 and 17509? -52527 What is the product of -2.7 and 1497? -4041.9 -0.12943 times 16 -2.07088 1.46 times -2.31 -3.3726 0.4 times 7592 3036.8 -22 * -84.6 1861.2 Work out -252 * 1.82. -458.64 What is 1.76 times 224? 394.24 What is the product of 618 and -339? -209502 57 times 756 43092 Work out -0.355 * 521. -184.955 21.568 times -0.06 -1.29408 -41023 * -7 287161 What is 4821 times 0.117? 564.057 -0.0486515 times 8 -0.389212 1.098 times 10 10.98 Multiply -0.2 and -206.47. 41.294 Calculate 4582*33. 151206 Work out -17668 * 5. -88340 What is the product of 0.15 and 386.1? 57.915 -14 times -0.182151 2.550114 -0.1*105799 -10579.9 Work out -0.1 * -0.164988. 0.0164988 706 * -0.0145 -10.237 Calculate -0.715*-1.347. 0.963105 17070*16 273120 What is the product of -0.59 and 26.9? -15.871 What is 5 times -82.5323? -412.6615 Multiply 0.317 and 0.52. 0.16484 What is the product of -14 and 0.5177? -7.2478 Work out -5.21 * -206. 1073.26 Multiply 2.316 and 20. 46.32 Multiply -0.04 and -649760. 25990.4 Calculate -0.00009*-120. 0.0108 Product of -21919 and 49. -1074031 What is the product of 11 and -9976? -109736 Calculate -192423*-0.07. 13469.61 Product of 5336 and -228. -1216608 -28.1785*5 -140.8925 Multiply 79 and 1.05. 82.95 0.4 * -567154 -226861.6 5.4932 times 86 472.4152 Product of 229653 and 0.3. 68895.9 150 times 71 10650 Calculate -925*-0.812. 751.1 -0.3574*0.3 -0.10722 0.3 times -1708885 -512665.5 Calculate -4363*-0.07. 305.41 -47 * -0.2483 11.6701 5 * -0.19585 -0.97925 -0.034944 * -3 0.104832 Multiply -9.3 and -132.4. 1231.32 What is the product of 31 and -1.83? -56.73 42.33 * -119 -5037.27 What is 0.26 times 2.7629? 0.718354 Multiply -1.5 and 47.06. -70.59 Work out 2212 * -0.08. -176.96 12 * 3475.6 41707.2 Work out -1736.3 * 2.1. -3646.23 Calculate -1*-589. 589 Product of -189.7 and -28. 5311.6 0.007 times -70 -0.49 9.7*-22.21 -215.437 What is -0.1 times -253843? 25384.3 What is 597 times 46? 27462 166834 times 3 500502 What is the product of 32 and 0.0422? 1.3504 Calculate 3014*0.0693. 208.8702 Work out -5 * -156146. 780730 What is the product of -30.3 and -3068? 92960.4 Work out -92.0667 * -3. 276.2001 -517371 times 0.1 -51737.1 Multiply 519 and 0.38. 197.22 Product of 11.17 and 1. 11.17 Calculate 31049*0. 0 3.1 times -2051 -6358.1 Work out 776 * -12.2. -9467.2 Product of 18179.3 and 0.3. 5453.79 59.1106*-5 -295.553 What is -0.1 times -0.15611? 0.015611 215 times -0.06325 -13.59875 -0.1 * 1541.47 -154.147 What is 1 times -96536? -96536 38 * -0.215 -8.17 Product of -1224 and -0.073. 89.352 What is the product of 0.68853 and -0.4? -0.275412 What is the product of 422 and -0.868? -366.296 -0.46152 times -18 8.30736 0.3*-2.6099 -0.78297 39*-0.3142 -12.2538 Multiply 272 and -8.7. -2366.4 What is the product of 0.3 and 26.2999? 7.88997 What is -0.12307 times 0.88? -0.1083016 What is 11176 times -0.6? -6705.6 Work out -0.087 * -4.5. 0.3915 Product of 1.28 and -281. -359.68 Multiply -0.012 and 56. -0.672 10733 times -0.07 -751.31 Work out 35 * -0.11437. -4.00295 What is the product of 0.07 and -472.4? -33.068 Product of -0.1 and 9.44. -0.944 Calculate -10*-30013. 300130 Calculate 1*-441.9. -441.9 What is -1.7 times -4.24? 7.208 Calculate -2*-0.037149. 0.074298 What is the product of 747.57 and 5? 3737.85 What is -10562 times 0.3? -3168.6 Multiply 2.514 and -0.07. -0.17598 Work out -46576 * 0. 0 Multiply 0.3 and 44321. 13296.3 -0.1874601 * -0.2 0.03749202 Work out 0.4 * 216598. 86639.2 Product of -55 and 0.3635. -19.9925 Multiply -42.7655 and -1. 42.7655 What is -0.005263 times 16? -0.084208 -414.07 times -0.5 207.035 -8.6 times 0.048577 -0.4177622 What is -8 times -18779? 150232 36256.46 times 0.3 10876.938 Product of 1.4 and -38899. -54458.6 Product of 0 and 54.18. 0 Calculate 170648*0.5. 85324 -0.0430708 times -0.5 0.0215354 What is the product of 17.01 and -0.085? -1.44585 Multiply 0.1 and -1172531. -117253.1 What is the product of -97 and 8836? -857092 460 * -0.404 -185.84 Multiply 155763 and 10. 1557630 1608 * -17.4 -27979.2 What is 0 times 57.269? 0 -8.94 * 0.19 -1.6986 2*-10643 -21286 Calculate -0.1544*-4.1. 0.63304 Calculate 665*-705. -468825 -10*-7971 79710 Work out 0.076 * 3.28. 0.24928 Calculate -2.75*3016. -8294 Product of -0.23 and -1128. 259.44 What is 6185990 times 0.1? 618599 -359.7*-4 1438.8 What is 141 times -268? -37788 Calculate -0.07*-6588.1. 461.167 179334*0.4 71733.6 -954 times -87 82998 What is the product of -10 and -34189? 341890 What is -6636 times 4? -26544 What is -48 times -1.027? 49.296 -1.756 times 0.54 -0.94824 Product of 0.005 and -236. -1.18 921842 times 2 1843684 What is -111839 times -3? 335517 -0.0474832 * -0.3 0.01424496 Calculate 0.07*-299.26. -20.9482 Calculate 62435*-0.1. -6243.5 Work out 8.9 * 5929. 52768.1 What is the product of 5.3 and 74724? 396037.2 Calculate 70.6*-177. -12496.2 Product of -0.84
{ "pile_set_name": "DM Mathematics" }
7*f - 6. Calculate -6*a(z) - 13*h(z). -3*z - 3 Let b(w) = -4*w + 1. Let o(j) = j**2 - 3*j - 7. Let n be o(5). Let q(k) = -k. Give n*q(x) - b(x). x - 1 Suppose -4*i - q = 22, i - 4*q = 5*i + 28. Let n be (-12)/(-16) + 10/8. Let l(s) = 0*s + 3 - n*s + 0 + 3. Let j(c) = -2*c + 7. Determine i*l(p) + 4*j(p). 2*p - 2 Let c(r) = 2*r + 13. Let w be ((-5)/(15/18))/2. Let t be (0 + (w - -1))*2. Let o(a) = a + 6. Determine t*c(l) + 9*o(l). l + 2 Let n(z) = -z**3 + 3*z + 3. Let a(m) = 2*m**2 + 10*m - 19. Let j be a(-6). Let p(x) = -3*x**3 - x**2 + 7*x + 7. Determine j*n(b) + 3*p(b). -2*b**3 - 3*b**2 Let g(f) = -3*f + 7. Let q(o) = 1. Determine -2*g(v) + 14*q(v). 6*v Let z(s) = 20*s**2 + 1. Let a(k) = -101*k**2 - 6. Give 2*a(o) + 11*z(o). 18*o**2 - 1 Let j(k) = k**2 + k - 1. Let p(z) be the first derivative of -z**3 - z**2/2 + 3*z - 3. Calculate -2*j(y) - p(y). y**2 - y - 1 Let w(k) = -4*k**2 - 2*k + 7. Let t(b) = 13*b**2 + 7*b - 22. Determine -2*t(z) - 7*w(z). 2*z**2 - 5 Let w(m) = -5*m**2 - 5*m - 11. Suppose 2*f - 44 = -0*f. Suppose 3*u - 6*u + 6 = 0. Let p(r) = -r**u - r - r - 2 + r. Determine f*p(a) - 4*w(a). -2*a**2 - 2*a Let d(v) be the first derivative of -v**7/168 + v**4/4 + 5*v**3/3 - 2. Let q(t) be the third derivative of d(t). Let u(c) = -c**3 + 1. What is 4*q(n) - 22*u(n)? 2*n**3 + 2 Suppose 0*u + 16 = 4*u. Let g be u/(-6) + 85/15. Let q(n) = n. Let p(w) be the first derivative of -w**2/2 - 1. Give g*q(x) + 6*p(x). -x Let i(j) = 3*j**3 - 3*j**2 - j + 2. Let q be i(2). Let z be 10/(-4)*q/(-5). Let b(u) = 4*u - 3. Let k(m) = m - 1. Calculate z*k(f) - 2*b(f). -2*f Let q(v) = v**2 - v. Suppose -4*h - 29 + 45 = 0. Let c(i) = 5*i**2 - 5*i + 3. Give h*q(u) - c(u). -u**2 + u - 3 Let d be 1/(3/3 - 2). Let f = d + 3. Let t(r) = 5*r - 1. Let k(y) = -4*y. What is f*t(g) + 3*k(g)? -2*g - 2 Let o(c) = 5*c - 9. Let l(i) = -11*i + 19. What is 4*l(s) + 9*o(s)? s - 5 Let c(l) = -2*l + 2. Let w = -1 + -7. Let o(v) be the first derivative of -v**2/2 + v + 7. Let i = 12 + -7. Give i*c(k) + w*o(k). -2*k + 2 Let t(u) = -4*u + 2*u + 6 - 7*u**2 + 7*u. Let x(h) = -15*h**2 - 5*h + 148 + 9*h - 135 + 7*h. Give 9*t(p) - 4*x(p). -3*p**2 + p + 2 Let y(w) = -32*w**2 - 8*w + 11. Let t(c) = -11*c**2 - 3*c + 4. Determine 11*t(p) - 4*y(p). 7*p**2 - p Let b(v) = -5*v - 3 + 4*v + v**2 + 0*v + 2. Let z(g) = -5*g**2 + 6*g + 5. Determine -6*b(o) - z(o). -o**2 + 1 Let s(l) = -13*l**3 + 7*l**2 - l + 1. Let m(n) = n**3 - 2*n**2 - 3*n. Let d(t) = 2*t**2 + 4*t. Let r(x) = -3*d(x) - 4*m(x). Calculate -7*r(f) + 2*s(f). 2*f**3 - 2*f + 2 Let l(r) = -r - 1. Let x(y) = 12*y + 5. Determine -4*l(q) - x(q). -8*q - 1 Let z(g) = 1. Let i(l) = 90*l - 6. What is i(y) + 5*z(y)? 90*y - 1 Let q(u) = 15*u - 9. Let i(j) = -8*j + 5. Let a(p) = 11*i(p) + 6*q(p). Let y(z) = 4*z + 2. Let f = -20 + 11. Give f*a(o) + 4*y(o). -2*o - 1 Let m(g) = 3*g + 5 + 2 - 5. Let f = 3 - -1. Let t(w) = -2*w - 2. Determine f*t(u) + 3*m(u). u - 2 Let f(x) = -6*x**3 - 7*x**2 + 7*x - 7. Let i(k) = -16*k**2 + 12*k**2 + 1 + k**3 - k + 5*k**2. Calculate 3*f(u) + 21*i(u). 3*u**3 Let b(q) = 5 - 3 - 2 + 4*q + 2. Let f(j) = 5*j + 2. Suppose 4*i - s = -4*s - 39, -4*i + 2*s = 14. Let g be ((-2)/i)/(1/15). Give g*f(o) - 6*b(o). o - 2 Let c(h) = 5*h - 21. Let v(w) = 26*w - 106. Give 16*c(s) - 3*v(s). 2*s - 18 Let m(t) = -5*t**2 - 53*t + 6. Let x(i) = -4*i**2 - 53*i + 5. Give 5*m(d) - 6*x(d). -d**2 + 53*d Suppose 3*o - 8 + 2 = 0. Let q(m) = -6 - 2 - o + 4 - 3*m. Let t(a) = -a - 1. Calculate -q(z) + 4*t(z). -z + 2 Let o(k) = -4*k**2 + 9*k - 5. Let h(f) = -f**2 + 2*f - 1. Let l = 2 + 0. Suppose -x + 7 = l*i + 2*x, -2*x = -i. What is i*o(g) - 9*h(g)? g**2 - 1 Let b(a) = 5*a**2 - a. Let o(j) = -j**3 - 5*j**2 + j. Give 3*b(f) + 2*o(f). -2*f**3 + 5*f**2 - f Let z(t) = 19*t - 5. Let n(w) = 9*w - 3. What is -13*n(k) + 6*z(k)? -3*k + 9 Let q(s) = -5*s**2 + 7*s + 4. Let y(k) = k**2 - k - 1. Determine -q(d) - 4*y(d). d**2 - 3*d Let f(l) = -5*l**3 - 4*l**2 + 28*l + 4. Let s(w) = -6*w**3 - 5*w**2 + 29*w + 5. Determine -5*f(q) + 4*s(q). q**3 - 24*q Let m(v) = -2*v**2 + 7*v. Let a be m(3). Let s(x) = 4*x**3 + 7*x**2 + 11*x - 7. Let h(b) = -2*b**3 - 3*b**2 - 5*b + 3. Determine a*s(q) + 7*h(q). -2*q**3 - 2*q Let l(y) = -y - 1. Let g be l(-2). Let x(j) = j - 4*j + 2*j + g. Let m(s) be the first derivative of s**3/3 - 3*s**2/2 + 7*s - 1. Calculate m(z) - 5*x(z). z**2 + 2*z + 2 Let h(y) = 3*y - 3. Let i(v) = 6*v - 5. Calculate -11*h(k) + 6*i(k). 3*k + 3 Let m(v) = 3*v**3 - 5*v**2 + 5. Let s = -153 + 148. Let a(o) = 4*o**3 - 6*o**2 + 6. Let l = 8 + -2. Determine l*m(w) + s*a(w). -2*w**3 Let g(t) = 6 + 1 - 7*t + 0 + 9*t**3. Let x(n) be the second derivative of -3*n**5/20 + n**3/3 - n**2 + 6*n. What is 2*g(u) + 7*x(u)? -3*u**3 Let p(k) = 2*k**3 - 6*k**2 + 6*k + 5. Let t(s) be the second derivative of 3*s**5/10 - 17*s**4/12 + 17*s**3/6 + 7*s**2 - 2*s. Give 17*p(q) - 6*t(q). -2*q**3 + 1 Suppose -j = 3*j - 12. Let p(l) = -2 - 2 - l**3 + 4*l + 5 - j*l. Let t(x) = 2*x**3 - 2*x - 4. Suppose 4*b + 2 = c, -6*b + b = -4*c + 8. Give c*t(o) + 6*p(o). -2*o**3 + 2*o - 2 Let n(b) = -b + 3. Let c(d) = 1. Let t(l) = 1. Let f(v) = -8*c(v) + 5*t(v). Let h(a) = 2*f(a) + 3*n(a). Let x(j) = 9*j - 8. Give 8*h(p) + 3*x(p). 3*p Let r(t) = 5*t**2 - 4*t - 1. Let h(g) = -g**2 + g. Calculate -2*h(w) - r(w). -3*w**2 + 2*w + 1 Let z(f) = -f**3 - f**2 + f - 1. Let b(y) = 7*y**3 + 5*y**2 - 5*y + 5. Let o = -1 + 2. Suppose 4*x + 7 = 3*l, 3*l + x + x = o. Give l*b(j) + 5*z(j). 2*j**3 Let m(h) = h**2 - h + 1. Let p(w) = -4*w**2 + 4*w - 7. Calculate -6*m(z) - p(z). -2*z**2 + 2*z + 1 Let h(p) = 7*p - 2. Let o be (-3)/9 + 31/3. Let f(g) = 5 - 4 - 4 + 2 + 4*g. Calculate o*f(a) - 6*h(a). -2*a + 2 Let n = 11 - 22. Let h(v) = 5 + v - 1 + v. Let s(i) = 2*i - 6*i + 0*i - 7. Calculate n*h(c) - 6*s(c). 2*c - 2 Let x(k) be the second derivative of -4*k**5 - 55*k**4/12 + 55*k**3/6 - 29*k. Let h(p) = 3*p**3 + 2*p**2 - 2*p. Calculate 55*h(n) + 2*x(n). 5*n**3 Let r(d) = -d**2 + 1. Let y(v) be the first derivative of -4*v**3/3 + 2*v + 14. Calculate 3*r(s) - y(s). s**2 + 1 Let s(b) = -b**2 + 6*b + 1. Let l = -2 + -1. Let c be 4/12 - (-1)/l. Suppose j + c*j - 4 = 0. Let r(i) = -i. Determine j*r(t) + s(t). -t**2 + 2*t + 1 Let w(r) = -70 + 8*r + 6*r**2 + 0*r + 78. Let y(m) = -m**2 - m - 1. Give -w(d) - 8*y(d). 2*d**2 Let v(f) = 4*f - 1. Let w be v(1). Let h(a) = -3 - a + 4 + 3*a + a**3 - w + 2*a**2. Let s(r) = r**2 + r - 1. Suppose -q - 8 = -5*q. Give q*s(p) - h(p). -p**3 Let r(d) be the first derivative of -d**4/4 + d - 2. Let q(t) = -1 - 4*t**2 - 2 + 4*t**3 + 9*t**2 - 3*t**2. Determine -q(u) - 3*r(u). -u**3 - 2*u**2 Let c(d) = d**3 - d**2. Let p(b) = -11*b**2 - 8*b + 8. Let o(q) = 7*q**2 + 5*q - 5. Let r(t) = -8*o(t) - 5*p(t). Determine 4*c(h) - 4*r(h). 4*h**3 Let u(d) = -13*d**2 + 9*d + 9. Let n(t) = 3*t**2 - 2*t - 2. Let k(r) = -9*n(r) - 2*u(r). Let b = 10 - 2. Let v(l) = -2*l**2. Give b*k(g) - 3*v(g). -2*g**2 Let w(b) = -b**2 + b + 1. Let u(j) = -j**2 + j + 2. Suppose 6 = -m + 9. Suppose 0 = -s - t - 8, m*s - 4*t = 4 + 7. Calculate s*w(g) + u(g). 2*g**2 - 2*g - 1 Let k(c) = -c**2 + 12*c. Let t(d) = 11*d. Give 2*k(w) - 3*t(w). -2*w**2 - 9*w Let p(x) = 13*x**2 - 91. Let u(t) = 1. Calculate 2*p(v) + 182*u(v). 26*v**2 Let w(k) be the second derivative of 1/2*k**2 + 4*k + 0 - 1/6*k**3 + 1/6*k**4. Let i(z) = z**2 - z + 1. Calculate -i(r) + w(r). r**2 Let i(n) = -3*n**2 - 7*n - 6. Let t(g) = -21*g**2 - 52*g - 32. Let s(c) = 7*c**2 + 17*c + 11. Let f(k) = -7*s(k) - 2*t(k). Give 6*f(o) - 13*i(o). -3*o**2 + o Let o(g) = 2*g + 4. Let z(t) = -t - 1. Let h be (6/4 - 1)*4. Suppose 2 = -2*w + 12. Suppose -3 = w*r + h. Give r*o(f) - 4*z(f). 2*f Let k(v) = -2*v**2 + 4*v - 2. Let c(o) = o**3 - 14*o**2 - 14*o - 18. Let x be c(15). Let g(j) = 3*j**2 - 5*j + 3. Determine x*g(h) - 4*k(h). -h**2 - h - 1 Let j(i) = -i**2 - i + 1. Let x(m) = 4*m - 4. Let d = 17 + -13. Suppose d*g = -5*t - 4, 5*g + 4*t + 5 = -0*g. Determine g*x(r) - 2*j(r). 2*r**2 - 2*r + 2 Let p(y) = -1. Let r(g) = 5*g + 35. Calculate -70*p(m) - 2*r(m). -10*m Let o(s) = -4*s - 5*s - 5*s**2 + 8*s - 2*s - 2 + s**3. Let r(m) = -4*m**2 - 2*m - 2. Calculate -2*o(j) + 3*r(j). -2*j**3 - 2*j**2 - 2 Let i(y) be the first derivative of 6*y + 1/2*y**2 - 1. Let k(o) = -o - 7. What
{ "pile_set_name": "DM Mathematics" }
19, 74, 157, 274, 431? m**3 + 2*m**2 + 4*m - 38 What is the h'th term of -4, 28, 118, 296, 592? 5*h**3 - h**2 - 8 What is the h'th term of -7, -5, -1, 5, 13? h**2 - h - 7 What is the u'th term of 1, -47, -139, -281, -479, -739, -1067? -u**3 - 16*u**2 + 7*u + 11 What is the v'th term of 4167, 4168, 4169? v + 4166 What is the g'th term of -10710, -10709, -10708, -10707? g - 10711 What is the c'th term of -369, -367, -367, -369, -373, -379? -c**2 + 5*c - 373 What is the m'th term of -558, -543, -522, -495, -462, -423, -378? 3*m**2 + 6*m - 567 What is the u'th term of 131, 263, 395, 527, 659, 791? 132*u - 1 What is the v'th term of -242, -481, -720, -959? -239*v - 3 What is the t'th term of 21, 43, 79, 129? 7*t**2 + t + 13 What is the i'th term of 25, 10, -29, -104, -227, -410, -665? -2*i**3 - i + 28 What is the x'th term of 14, 37, 76, 131, 202, 289? 8*x**2 - x + 7 What is the w'th term of -10797, -10798, -10799, -10800, -10801, -10802? -w - 10796 What is the x'th term of 66177, 66179, 66181, 66183, 66185? 2*x + 66175 What is the u'th term of -71, -79, -87, -95, -103, -111? -8*u - 63 What is the h'th term of -45, -75, -103, -129, -153? h**2 - 33*h - 13 What is the y'th term of 355, 350, 335, 304, 251, 170, 55, -100? -y**3 + y**2 - y + 356 What is the k'th term of 12, 10, 6, 0? -k**2 + k + 12 What is the x'th term of -89, -62, -35, -8, 19, 46? 27*x - 116 What is the k'th term of -105, -214, -337, -480, -649, -850, -1089? -k**3 - k**2 - 99*k - 4 What is the b'th term of 507, 1001, 1503, 2019, 2555, 3117? b**3 - 2*b**2 + 493*b + 15 What is the s'th term of -19, -42, -65, -88? -23*s + 4 What is the z'th term of 43, -18, -77, -134? z**2 - 64*z + 106 What is the r'th term of 4, -24, -78, -164, -288? -r**3 - 7*r**2 + 12 What is the b'th term of -2701, -5409, -8117? -2708*b + 7 What is the i'th term of 12, -40, -178, -444, -880, -1528, -2430? -7*i**3 - i**2 + 20 What is the u'th term of 71, 57, 35, 5, -33, -79? -4*u**2 - 2*u + 77 What is the d'th term of -4, 14, 54, 128, 248? 2*d**3 - d**2 + 7*d - 12 What is the o'th term of 50, 92, 134, 176, 218? 42*o + 8 What is the p'th term of 229, 904, 2021, 3574, 5557, 7964, 10789, 14026? -p**3 + 227*p**2 + p + 2 What is the h'th term of 38, 3, -32, -67? -35*h + 73 What is the k'th term of 19, 89, 209, 379, 599, 869, 1189? 25*k**2 - 5*k - 1 What is the v'th term of 92, 146, 200, 254? 54*v + 38 What is the g'th term of -784, -769, -768, -787, -832, -909? -g**3 - g**2 + 25*g - 807 What is the f'th term of -60, -62, -64, -66, -68? -2*f - 58 What is the c'th term of -3342, -3340, -3338, -3336? 2*c - 3344 What is the w'th term of 259, 407, 553, 697? -w**2 + 151*w + 109 What is the i'th term of -23, -36, -65, -116, -195, -308, -461, -660? -i**3 - 2*i**2 - 20 What is the g'th term of -174, -362, -552, -744? -g**2 - 185*g + 12 What is the r'th term of 122, 120, 118, 116? -2*r + 124 What is the h'th term of -40, -83, -126? -43*h + 3 What is the i'th term of 7, 4, -25, -92, -209, -388, -641? -2*i**3 - i**2 + 14*i - 4 What is the s'th term of 6, -51, -130, -219, -306, -379, -426, -435? 2*s**3 - 23*s**2 - 2*s + 29 What is the v'th term of -19, -66, -145, -256? -16*v**2 + v - 4 What is the o'th term of -92, -189, -288, -389, -492, -597? -o**2 - 94*o + 3 What is the c'th term of -24591, -24592, -24593, -24594, -24595, -24596? -c - 24590 What is the o'th term of 51, 103, 153, 201, 247, 291? -o**2 + 55*o - 3 What is the j'th term of 368, 732, 1094, 1454? -j**2 + 367*j + 2 What is the n'th term of 33, 48, 59, 60, 45, 8, -57, -156? -n**3 + 4*n**2 + 10*n + 20 What is the w'th term of -730, -718, -690, -640, -562, -450, -298, -100? w**3 + 2*w**2 - w - 732 What is the l'th term of -29, -51, -97, -179, -309, -499? -2*l**3 - 8*l - 19 What is the d'th term of 251, 265, 301, 371, 487, 661, 905? 2*d**3 - d**2 + 3*d + 247 What is the m'th term of -273, -1076, -2415, -4290, -6701, -9648? -268*m**2 + m - 6 What is the y'th term of 7, 8, 11, 16, 23, 32? y**2 - 2*y + 8 What is the f'th term of -3, 4, 25, 66, 133, 232, 369? f**3 + f**2 - 3*f - 2 What is the m'th term of -3313, -3319, -3329, -3343, -3361, -3383? -2*m**2 - 3311 What is the m'th term of -3892, -3897, -3904, -3913, -3924, -3937? -m**2 - 2*m - 3889 What is the a'th term of -85, -86, -87? -a - 84 What is the h'th term of -10, -29, -54, -85, -122, -165? -3*h**2 - 10*h + 3 What is the q'th term of -67, -125, -169, -193, -191, -157, -85? q**3 + q**2 - 68*q - 1 What is the q'th term of 124, 216, 466, 952, 1752, 2944, 4606, 6816? 13*q**3 + q**2 - 2*q + 112 What is the w'th term of -1266, -2533, -3800, -5067? -1267*w + 1 What is the f'th term of -151, -129, -83, -7, 105, 259, 461, 717? f**3 + 6*f**2 - 3*f - 155 What is the k'th term of 168, 172, 178, 186, 196? k**2 + k + 166 What is the p'th term of -2601, -2608, -2625, -2658, -2713? -p**3 + p**2 - 3*p - 2598 What is the l'th term of 12, 40, 96, 186, 316, 492? l**3 + 8*l**2 - 3*l + 6 What is the f'th term of 188, 219, 270, 341, 432, 543? 10*f**2 + f + 177 What is the a'th term of 7, 15, 33, 61, 99, 147? 5*a**2 - 7*a + 9 What is the c'th term of 59, 123, 201, 299, 423, 579, 773? c**3 + c**2 + 54*c + 3 What is the q'th term of 31, 56, 77, 94, 107? -2*q**2 + 31*q + 2 What is the h'th term of -17, -198, -681, -1616, -3153, -5442, -8633? -25*h**3 - h**2 - 3*h + 12 What is the i'th term of -2, 6, 20, 40, 66? 3*i**2 - i - 4 What is the l'th term of -245, -462, -665, -848, -1005, -1130? l**3 + l**2 - 227*l - 20 What is the w'th term of 142, 514, 1122, 1960, 3022, 4302, 5794, 7492? -w**3 + 124*w**2 + 7*w + 12 What is the p'th term of 141, 277, 413, 549, 685? 136*p + 5 What is the w'th term of -22, -29, -40, -55, -74? -2*w**2 - w - 19 What is the f'th term of -7, -13, -23, -37, -55, -77? -2*f**2 - 5 What is the v'th term of 1566, 1567, 1568, 1569, 1570, 1571? v + 1565 What is the l'th term of -283, -283, -291, -313, -355, -423? -l**3 + 2*l**2 + l - 285 What is the y'th term of 44, 43, 42? -y + 45 What is the b'th term of 14, 27, 56, 107, 186, 299, 452, 651? b**3 + 2*b**2 + 11 What is the m'th term of 7976, 15944, 23900, 31838, 39752, 47636, 55484, 63290? -m**3 + 7975*m + 2 What is the v'th term of 194, 270, 346, 422? 76*v + 118 What is the v'th term of 59, 58, 57, 56, 55, 54? -v + 60 What is the l'th term of 12, 33, 64, 111, 180? l**3 - l**2 + 17*l - 5 What is the c'th term of 48, 96, 142, 186, 228, 268, 306? -c**2 + 51*c - 2 What is the d'th term of 20, 53, 86, 119, 152, 185? 33*d - 13 What is the k'th term of 17, 130, 323, 602, 973, 1442, 2015, 2698? k**3 + 34*k**2 + 4*k - 22 What is the k'th term of 710, 709, 708? -k + 711 What is the r'th term of 7165, 7163, 7161? -2*r + 7167 What is the f'th term of -14, -55, -94, -131? f**2 - 44*f + 29 What is the x'th term of 27, 1, -35, -87, -161? -x**3 + x**2 - 22*x + 49 What is the g'th term of 144, 145, 146, 147? g + 143 What is the v'th term of 5, -16, -51, -106, -187, -300, -451, -646? -v**3 - v**2 - 11*v + 18 What is the r'th term of -1717, -1719, -1721, -1723? -2*r - 1715 What is the g'th term of -21, -53, -85? -32*g + 11 What is the d'th term of 1280, 1279, 1278, 1277? -d + 1281 What is the o'th term of -123, -112, -99, -90, -91, -108, -147, -214? -o**3 + 7*o**2 - 3*o - 126 What is the y'th term of -1263, -1266, -1271, -1278, -1287, -1298? -y**2 - 1262 What is the k'th term of -25, -45, -79, -127, -189, -265? -7*k**2 + k - 19 What is the p'th term of -145, -569, -1275, -2263, -3533, -5085? -141*p**2 - p - 3 What is the w'th term of -4189, -4190, -4191, -4192? -w - 4188 What is the n'th term of 70, 75, 84, 97? 2*n**2 - n + 69 What is the y'th term of -27, -52, -81, -120, -175? -y**3 + 4*y**2 - 30*y What is the n'th term of 33, 44, 65, 96, 137, 188, 249? 5*n**2 - 4*n + 32 What is the i'th term of 46, 192, 442, 802, 1278, 1876, 2602? i**3 + 46*i**2 + i - 2 What is the q'th term of 419, 840, 1261? 421*q - 2 What is the p'th term of 336, 320, 288, 234, 152, 36, -120? -p**3 - 2*p**2 - 3*p + 342 What is the u'th term of 351, 352, 343, 318, 271? -u**3 + u**2 + 5*u + 346 What is the v'th term of 66, 61, 54, 45? -v**2 - 2*v + 69 What is the m'th term of -41, -146, -251? -105*m + 64 What is the d'th term of 49, 61, 71, 79, 85, 89? -d**2 + 15*d + 35 What is the b'th term of 34, 78, 128, 184? 3*b**2 + 35*b - 4
{ "pile_set_name": "DM Mathematics" }
j. 1 Suppose 0 = -5*q + 15, 0 = -5*c - q - 9 + 42. Solve -r - d = -c*d + 3, d - 9 = 3*r for r. -3 Let n = 507 - 506. Solve -5*m + 9 = -n, -3*m = -2*a for a. 3 Let h(p) = -5*p**2 + 2*p + 1. Let a be h(0). Solve 5*r + 3*g - a = -14, 0 = 2*r + 3*g + 7 for r. -2 Suppose -21 = -6*u + 9. Suppose -6 = 2*y - u*y. Solve y*a + f = -10, -3*f + 0 = -a + 2 for a. -4 Suppose n + 20 = 3*q, 4*n + 31 = 11. Solve x + q*y = -x + 3, -5*y - 5 = 0 for x. 4 Let q be (6 - 0)*(-2)/6 - -4. Solve 4*d + 5*l = l, -5*l = -q*d + 7 for d. 1 Suppose -r - 40 = -11*r. Solve k + 2 + 0 = 0, -r*u = 5*k + 22 for u. -3 Let r = 791 + -789. Solve 2*d - 4 = -4*w, -r*w = 2*w + 5*d - 4 for w. 1 Suppose -47 = -50*l + 53. Solve 5*t - 2*u - 11 = 0, 0 = 3*t - 5*u + l*u - 3 for t. 3 Let y = -567 + 569. Solve 4*k + y - 10 = -2*r, 2*r - 5*k = 8 for r. 4 Let k be (-46)/(-10) - 18/30. Let t = k - 0. Let q(v) = v**3 - 3*v**2 + 2*v - 1. Let x be q(t). Solve 6*p + 4*u = 2*p + 28, 5*u = p + x for p. 2 Let f = -35 - -38. Let p(h) = -5 + f*h**2 + 4 - 4*h + 5*h - h**2. Let t be p(1). Solve -2*y - 14 - 5 = 5*k, t*y + 4 = -2*k for k. -5 Suppose 2*n = 3 - 35. Let t = n + 33. Suppose 0 = -r + t + 3. Solve -5*c = -w + 4*w + r, w = -5 for c. -1 Suppose 3280*s + 22 = 3291*s. Solve 14 = s*o - 4*d, 5 = o + 3*d + 18 for o. -1 Let d(j) = -10*j**3 - j + 2. Let y be d(1). Suppose 5*n - 22 = 3*x, -7*x = n - 4*x + 10. Let h = n - y. Solve -h - 11 = -2*g + 4*u, -5*g + 5*u = -35 for g. 3 Let c(j) = j**3 - 3*j**2 + 4. Let h be c(3). Suppose 0 = -h*r + 11*r - 35. Solve -d + 3*x + 2 = 0, r*d + 2*x + 2*x + 28 = 0 for d. -4 Let f(h) = 27*h - 146. Let i be f(6). Solve 2*a = -4*r - 18, -5*a + 5*r + i = 1 for a. -1 Let j be (24/28)/(2/7). Let l be 1/((-15)/(-10))*j. Solve -b = -l*u + 2 + 6, -5*b = u + 18 for b. -4 Let h(i) = -6*i. Let u be h(1). Let g = u + 15. Let j = -5 + g. Solve -j*t + 9*t + y = 18, 2*t + 4*y = 0 for t. 4 Let c(s) = -s**3 - 6*s**2 - 3*s - 15. Let p be c(-6). Suppose -44 = p*u - 14. Let z = 0 - u. Solve 0 = 5*k + o + 2*o - z, -30 = -3*k + 3*o for k. 5 Suppose -2*h = -7*j + 6*j - 2, -j + 7 = h. Solve 3*l = -3*w, -h*w + 2*w = 2*l - 3 for l. 3 Let t be 4/(-16)*0*1/(-3). Solve 0 = 2*z - 5*x - 15, t = -2*z + x + 1 + 2 for z. 0 Suppose -245 = -22*f - 27*f. Solve 10 = -2*s - 2*g, -2 = 4*s - f*g - 0 for s. -3 Suppose u = 2, -i + 5*u - 103 = -0*i. Let f = 97 + i. Solve 2*j = 7*n - 6*n + 4, 2*j - f = -4*n for n. 0 Let a be (-30)/400*5 - 59/(-8). Solve a = -4*j - 5*t + 2, 2*j - 5 = -t for j. 5 Let y = 10 - 8. Solve 0 = -b - 5*v - 29, -3*b - 1 - 1 = -y*v for b. -4 Let f(g) = -g**3 - 2*g**2 - g + 2. Let c be f(-2). Let q be (-63)/6*8/(-3). Solve -5*w + 2*k - q = c*k, 5*w = -k - 24 for w. -4 Suppose 28*c - 321 = -41. Solve b = 5*y + c, -5*y + 4 = 4*b + 39 for b. -5 Let j(n) = -59*n + 64. Let p be j(1). Solve -4*c = 4*l + 16, p*l + 0*c + 20 = -4*c for l. -4 Let n be (-2)/(-21)*9*(-49)/(-7). Let d be (-3 + 4)/(3/n). Solve -3*v + 3*r = 15, -d*r = v - 4 - 3 for v. -1 Let j(u) = -u + 8. Let a be j(5). Let l be (-6)/(2 - 20) - (-8)/a. Solve -15 = -s - 4*w, 5*s - l*w = 2*w for s. 3 Let j(g) = g**3 - g**2 - 2*g. Let h be j(2). Solve -4*f + 16 = -h*f + 2*t, f - 3*t - 11 = 0 for f. 5 Let i(z) = 3*z**2 + 6*z. Let k be i(-4). Let l = 22 + -5. Let t = 19 - l. Solve 3*v + 15 = 0, 5*v + 1 + k = t*x for x. 0 Suppose -6*d + 89 - 77 = 0. Solve -j + 3*w - 18 = d*j, 3*w = -3*j - 12 for j. -5 Let n(s) = 2*s - 6. Let b be n(4). Suppose -b*t - 8 = d, -d - 18 = 5*t - 1. Let o be (t - -2 - -2)*4. Solve 4*p = 4*r + 20, 5*p - 3 = -r + o for p. 2 Suppose -5*d + 3*d = -5*n + 12, 0 = 3*n + 3*d - 3. Solve n*a + 4 = 3*m - 1, 3*m = 15 for a. 5 Let j(q) = -3*q**2 - 17*q - 10. Let r be j(-4). Solve -3*u + 3*o = -6, u + 4*o = -o - r for u. 0 Suppose 0 = 10*w - 5*w - 25. Solve q + w*s + 0*s = -10, 5*s + 10 = 2*q for q. 0 Suppose 2 = -46*u + 140. Solve -u*s - 2*q - 8 = 0, -20 = 2*s + s - 4*q for s. -4 Let c(o) = 2*o**2 + 52*o + 13. Let z be c(-26). Solve 3*b - 8*b + z = 3*k, 2*k + 6 = 4*b for b. 2 Suppose 7 = m + 2*j, -2*m + 7 = 3*j - 6*j. Solve -30 = 3*i - m*x, -4*i + 4*x - 37 = i for i. -5 Let p(d) = -d**3 - 3*d**2 + 6*d + 18. Let b be p(-3). Solve 10 = 5*r - j, 5*r + 5 = -2*j - b for r. 1 Let o(z) = -z**3 - 4*z**2 + 7*z + 6. Let d be o(-5). Let u be ((-45)/(-18))/((-2)/d). Solve -5*i + 24 = -3*l + l, u*i = -4*l + 12 for i. 4 Suppose 0 = -d - 0 + 3. Let m be (3/18)/(d/18). Let s be (-1 + (2 - -44))*m. Solve 4*z + 1 = 3*g - 0*z, -5*g = 5*z + s for g. -5 Let t(z) = 3*z + z**3 + 0 + 10*z**2 + 6*z + 0*z**3 + 3. Let g be t(-9). Solve -p - 2*p + g*h = 9, 4*h - 12 = 0 for p. 0 Let s = -415 - -417. Solve 5*y + 3*q + 2*q + 10 = 0, -4*y - s = -2*q for y. -1 Suppose -240 = 46*b - 42*b. Let t be ((-12)/10)/((-102)/b + -2). Solve -t*u = 2*z - 14, u = -4*z + 5*u - 20 for z. -1 Suppose 10*p - 72 = 6*p. Suppose 2*c - 15 = -5*l, l - 1 - 2 = c. Suppose c = 5*w - w - 4. Solve 5*y + 3*j + p = -w, 0 = -j + 2 for y. -5 Let w be 3 - (2/(-3) + (-2)/(-3)). Suppose w*i - 13 + 4 = 0. Solve 5*z = -2*t + 3, -3*z + 4*t + i = -4 for z. 1 Let z(f) = 2*f**3 + 28*f**2 + f + 16. Let h be z(-14). Solve -2*x - 3*x + 35 = -5*m, 4*x = -h*m + 10 for x. 4 Let c(l) = l**2 - 10*l + 28. Let f be c(8). Suppose -44 = k - f*k. Solve -3*w + y + 3*y - 28 = 0, -4*y = k*w for w. -4 Suppose 4*y - 3*o - 22 = 0, 4*y + 5*o - 3 - 3 = 0. Let r be (-2 - (y + -6))/2. Solve 3*d + r*d - 17 = -4*q, -5*d + 3*q = -9 for d. 3 Suppose -t + 24 = t. Suppose 3*l + t = -3*l. Let a be 4*-1*l/2. Solve -13 = 3*d - c, -a*d = 4*c - 0 + 12 for d. -4 Let i = 33 + -27. Let r be 1/((16/10)/8). Solve -2*d + r*d + i = 0, -5*d = -5*j + 10 for j. 0 Let a(g) = -1 - 16*g + 10*g + 7*g. Let l be a(5). Solve 0*u + 3 = v + 2*u, 5*v - l*u = -13 for v. -1 Suppose -15 = 7*h - 12*h. Suppose -2*x - 5 = -h*u + 6, -3*u = x - 17. Solve -f - l - 1 = 0, 5 = 3*f - 3*l - x*l for f. 0 Let l(a) = -40*a - 38. Let d be l(-1). Solve -5*i + k = d + 3, 5*i + 3*k = -5 for i. -1 Let o(u) = u**2 - 5*u - 10. Let h be o(8). Suppose 2*b + h = 6. Let g be ((-10)/b)/((-5)/(-10)). Solve -g*x + 5*t + 20 = 0, -4*x - t = 6 - 27 for x. 5 Let u = 15 - 71. Let f = u - -59. Solve -2*v = 2*v + r - 3, f*v - 6 = 3*r for v. 1 Let b(v) = v**3 - 12*v**2 - 21*v - 94. Let f be b(14). Solve -3*h + f*x + 0 = 5, h + 2*x - 15 = 0 for h. 5 Let n(d) = 6 + 3*d + 5 + 10*d - 2*d. Let p be n(-5). Let c = -19 - p. Solve 3*u + 17 = 2*t - t, 5*u = -c for t. 2 Suppose 69 = -5*x + 94. Solve s + 4*q + 17 = 0, x*q - 3 = -18 for s. -5 Let w = -32 + 35. Let c be (-1)/(-4)*2*24/w. Solve 4*y + 4 = 2*z, 3*y + c - 15 = -2*z for z. 4 Let o(j) = j**3 + 2*j**2 - 6*j - 6. Let c be o(-3). Solve c*g - 25 = 3*z - z, 0 = -g - 5*z - 20 for g. 5 Let f(a) = -6 + 1 + 1 - a. Let w be f(-8). Suppose -2*z + x + 35 = 0, w*z - x - 81 = -12. Solve -5*v + 3*i = z, -4*i + 3*i + 19 = -5*v for v. -4 Let o be (-9)/(-15) - 4/(-10). Let x(a) = -3*a. Let h be x(o). Let p = h + 7. Solve -3*s - 4*b = -11, p*s - 6*b = -2*b - 4 for s. 1 Suppose -16 = -8*u - 8. Solve y - 4 = 5*y + 5*t, y + u = 4*t for y. -1 Let b(m) = m**2 - m + 1. Let t be b(-1). Suppose -5*z = -t - 7. Solve 1 = -z*g + 4*n - 1, -5*n + 4 = -4*g for g. -1 Suppose 10*h - 8*h - 16 = 0. Let d(l) = l**2 - 5*l - 6. Let r be d(h). Let k = r + -13. Solve 30 = -k*v - u, v + 5 = -3*v + 3*u for v. -5 Let b(c) = c**3 - 13*c**2 + 11*c + 13. Let s be b(12). Solve w - 2*t - 2*t = s, -4*w + t = -19 for w. 5 Let z = -284 + 287. Solve z*k + 0*g = -2*g + 10, 3*g = k + 4 for k. 2 Let y = 68 + -14. Let g = y + -50. Solve 0*k - 22 = 2*k - 4*r, 0 = g*k - 5*r + 29 for k. -1 Let k = 166 - 164. Solve 4*d = -4*a + 36, -4*a - 2 - k = -4*d for d. 5 Suppose -5*a = -2*a - 2*h - 26, -3*a + 3*h = -30. Let r be (0/4)/(a/(-3)). Solve r = v - 5*n - 23, -4*v - v + 35 = -5*n for v. 3 Suppose 35*l - 25*l - 20 = 0. Solve -29 = t - 5*v, 2*t + v + 1 = -l for t. -4 Let t(n) = -13*n - 1. Let r be t(-1). Suppose 0 = q + 5*v - 8, 4*q = 3*v + 16 + 16. Suppose r*f - q = 8*f. Solve 5*k + 5*h = k + 27, -f*k = -2*h for k. 3 Let n be (-16)/20 + 0 - 421/5. Let k = -82 - n. Solve 3*d - 15 = -3*i, -k*d + i - 5 = -d for d. 0 Suppose 0 = 7*t - 6*t - 10. Suppose 0*c + t = -5*c, -19 = -5*j + 2*c. Solve -6*v + 3*v - 3*x = 0, v - j*x = 0 for v. 0 Let a = 0 - -5. Suppose a*c = 9*c. Solve 5*s + n + 5 = 0, c = 2*s - 7*s + 4*n - 3
{ "pile_set_name": "DM Mathematics" }
= -30 - -41. Which is the nearest to 0.1? (a) -0.5 (b) -3/7 (c) x b Let v = 14 - 3. Let l = 12 - v. Let j = 0.2 + -0.4. Which is the nearest to 1? (a) l (b) 0.3 (c) j a Let x = -0.8 + 0.9. Which is the nearest to 0.1? (a) -2/9 (b) -3/5 (c) x c Let p = 7.6 - 8. Let k = p + 0.9. Which is the nearest to -1? (a) 1/3 (b) -2/5 (c) k b Let y = 57.7 + -58. Let r = 173 - 177.08. Let d = r + 0.08. Which is the closest to -0.1? (a) 2 (b) y (c) d b Let y = 28.5 + -23. Let h = y + -5. Let g = -2 + 3. Which is the nearest to 0.1? (a) 4 (b) g (c) h c Let d(y) = 3*y - 2*y + 0*y. Let o be d(5). Suppose -15 = -2*q - o*n, 2*q + 10 + 5 = n. Which is the closest to 2/3? (a) q (b) -0.1 (c) 5 b Let o = -20 - -20.1. What is the nearest to o in -2, 0, -4? 0 Let y be (-2)/8*8/7. Let j = -1.56 - -0.16. Let o = j - -1.1. Which is the closest to 0? (a) o (b) 1 (c) y c Let z = 0.52 - 0.02. Let l be (-70)/(-126) - (-1)/(-3). Which is the nearest to 0? (a) 1 (b) l (c) z b Let r = 5 - 1. Let m = 0.4 - 5.4. Let s = -10 + 10.4. What is the closest to 1/2 in r, s, m? s Let r = 1.1 + -5.1. Let j be (-11)/(-21) - (-8)/(-12). Which is the nearest to -1/3? (a) j (b) -2/3 (c) r a Let v = 6 + -5. Let l = -3 - v. Let r = 0.5 - 2.5. Which is the nearest to r? (a) 1/2 (b) -0.4 (c) l b Let d = 8 - 4. Let x(z) = -3*z + 3. Let n be x(3). Let m = 8 + n. Which is the nearest to -0.1? (a) m (b) -2 (c) d b Let l = -0.9 - -5.9. Let u = 10 - 10.1. Which is the closest to u? (a) l (b) 3 (c) -5 b Let i = 0.6 + -7.6. Which is the closest to 0? (a) i (b) 4 (c) -1/3 c Let x = 239/7 - 34. Let z(t) = t**3 + t**2 - 2*t. Let f = 10 - 12. Let l be z(f). Which is the closest to l? (a) 0.3 (b) -1/3 (c) x c Let a = 0.09 + 4.91. Let z = 2 - a. What is the nearest to 0.1 in 0.1, 1/3, z? 0.1 Let d = -1022/23 + -2155/69. Let k = 75 + d. Let f be -4 + 4 + 1/(-7). What is the nearest to 0 in -0.5, f, k? f Let h = 2 + -1. Let j = 2.4 - 2. Let o = -2 + 5/3. Which is the nearest to o? (a) j (b) 2 (c) h a Let f = -3/29 - 17/116. What is the nearest to f in -0.1, -2/9, 1/5? -2/9 Let l = 497/5 + -100. Let t = -8 + 9.2. Let v = t + -6.2. What is the closest to -1 in v, l, 2? l Let q = -1 + 1. What is the nearest to 1 in 1, q, -2? 1 Let z = 3.96 + -4. Let x = -0.04 - z. Let v = -5 + 4. Which is the closest to 1? (a) v (b) x (c) -4 b Let k(h) = h + 10. Let r be (2/(-3))/((-20)/(-330)). Let z be k(r). Let x = -0.1 + 2.1. What is the closest to 0.1 in x, -0.4, z? -0.4 Let z = 5 + -7. Suppose 5*c = -3*p + 14, -5*p - 28 + 6 = -3*c. Let w be (-1 - z) + 1/p. What is the nearest to w in -4, 2, 3/4? 3/4 Let o be -1 + (-2 - -4*1). Let d = -4 - -3.96. Let j = d + 0.04. Which is the nearest to 0.1? (a) 1/2 (b) o (c) j c Let v be ((-3)/(-9))/(8/6). Suppose -y = 2 + 2. Let g be y/6 + (-10)/(-6). Which is the nearest to g? (a) -4 (b) -5 (c) v c Let h(r) = r**2 + 1. Suppose -c - 20 = 3*c - 5*t, -2*c + 4*t = 16. Let a be h(c). Let l = -0.8 - -1. What is the closest to a in -5, l, -4? l Let w = 0.7 - 0.4. Which is the closest to 2/7? (a) 5 (b) -0.4 (c) w c Let l = 0.4 + 0.1. Let h = 0.01 - -0.39. Let i = h - l. Which is the closest to -1? (a) -0.4 (b) i (c) 5 a Let f = -8 + 10. Let j be f*(-3 + 18/4). What is the closest to 0.2 in j, -2/5, -2? -2/5 Let y = -361/5 - -72. Which is the nearest to -0.26? (a) y (b) 2/5 (c) 1/2 a Let k = 7 - 12. Let i = 0 + k. What is the closest to -0.2 in 1/5, i, 2? 1/5 Let x(v) = -88*v - 4. Let a be x(-4). Suppose -4*m + 346 = -5*s, -4*m + s = -3*s - a. Let r = 977/11 - m. What is the closest to -2/5 in r, 0, -3? r Let d = 7 + -8. Let o = -4.5 - 0.5. What is the nearest to d in o, 2/19, 0? 0 Let v = -0.03 + 0.03. Let i = -5 + v. What is the closest to 1 in 0.1, i, -6/7? 0.1 Let g be 6/(-3)*(51/(-42) - -1). Let n = 0.4 + -0.3. Which is the nearest to n? (a) -2 (b) -4 (c) g c Let r be 51/(-238) + 15/21 + -1. Suppose -p = 2*j + 1, 0 = 2*p - 5*j - 2 + 4. Let y be (4/10)/(6/10). Which is the closest to r? (a) p (b) y (c) 2 a Let d = 7 + -6. What is the nearest to d in 0.1, 3/4, 0.5? 3/4 Let g = 0.24 + -0.54. Let m = 4 - 2. What is the closest to 2 in m, -4, g? m Let k = -0.31 + 0.61. Which is the nearest to 1/3? (a) -0.1 (b) -0.2 (c) k c Let f = 14.8 + -15. Which is the closest to -1? (a) -5 (b) 0.5 (c) f c Let g = 405/8 - 51. What is the nearest to 2/3 in 0.4, g, -2? 0.4 Let s = 1 - -2. Suppose 5*h - 3 = -4*r, 0 = r - 5*h + s*h - 4. Let m be 3/(-9) - 5/21. Which is the closest to r? (a) -1/9 (b) m (c) 0.5 c Let f = 54 - 53. Let v = -0.3 + -1.7. Let l = 0.4 - 0.3. Which is the closest to l? (a) -0.3 (b) v (c) f a Let m = -1.3 + -1.1. Let d = 1.6 - -0.4. Let l = m + d. Which is the closest to 0.1? (a) 0.3 (b) l (c) -2 a Let i = 1.3 - 0.3. What is the closest to -0.1 in 0.05, 4, i? 0.05 Let s = 2/47 - -39/188. Which is the closest to -0.1? (a) s (b) 1 (c) -3/2 a Let l(q) = -4*q + 3*q + 3*q + 11 - 3*q. Let b be l(11). What is the nearest to -3 in 0.3, b, -3/4? -3/4 Let o be (-9)/2*(-2)/(-3). Let u be o - (1/(-3) - 3). Which is the closest to 1? (a) 2/7 (b) -3/7 (c) u c Let o = -14.86 - -19.9. Let b = 0.04 - o. What is the nearest to -2/3 in b, -0.5, 0.2? -0.5 Let g = -2.72 + 0.22. Let x = 2.2 + g. Let n = -1 - -3. What is the nearest to -1/4 in x, 1/3, n? x Let p = 0.01 - 0.05. Which is the closest to -1/3? (a) -0.4 (b) p (c) -6/7 a Let u = 2.97 + 0.03. Let y = u + 2. Which is the closest to -1? (a) 2/15 (b) y (c) -4 a Let l = -1334/9 - -148. Let n = 246 - 246.3. Let i = -0.06 - 0.34. What is the nearest to -2/3 in n, l, i? i Let v = 15 + -13. Which is the nearest to 1? (a) -0.5 (b) 0.5 (c) v b Let a(u) = -u**3 - u - 1. Let i be a(0). Let k = 10.6 + -1.6. Let q = k - 6. What is the closest to -0.1 in i, 0, q? 0 Let j = 4 - 4. Let r = -2 + 1.6. Which is the nearest to j? (a) -2 (b) -3/2 (c) r c Let t = 0.5 - 0.5. Let g = t - -0.3. Let o = 36 + -41. What is the closest to -1 in o, g, 2/7? 2/7 Let r = 192 - 191. Which is the nearest to 47? (a) r (b) -4 (c) -1/3 a Let z be (3*-1)/(3/2). Suppose s + 2*s + 3 = 0. Let d be (s/(-7))/(3/6). Which is the closest to 0.1? (a) z (b) d (c) -0.3 b Suppose -4*c - 16 = -t, 5*c + 0 = -2*t - 7. Suppose -3*w + 3*u = -18, -3*w + 3*u - 2 = -t*w. What is the closest to 0.2 in 2/7, w, -0.5? 2/7 Let h = -78 - -78. Which is the nearest to h? (a) -4/21 (b) -5 (c) 0.5 a Let v = -23 + 22. Let p = -14 + 20. What is the closest to v in -3, -1, p? -1 Let t = 5 + -4. Let r = t + -0.5. Let m = -43/33 - -18/11. What is the nearest to m in 0.4, r, 4/3? 0.4 Let a = -2 + -2. Let l(z) be the second derivative of z**3/3 + 7*z**2/2 + 2*z. Let f be l(-5). What is the nearest to -2/7 in 3/7, a, f? 3/7 Let b(v) = -2*v - 24. Let m be b(-14). What is the closest to 0 in 0, -4/3, m? 0 Let n = 4 - 4.2. Let d = 74 + -76. Which is the nearest to 2? (a) n (b) d (c) 3 c Let r = -15523/27 + 575. What is the closest to -0.2 in -4, r, 1? r Let k = -13 - -12.9. What is the nearest to 0 in k, 0.3, -5? k Suppose -6*g + 9 = -3*g. Let x = -3.6 - -1.2. Let v = 2 + x. Which is the closest to -2/7? (a) v (b) 0.4 (c) g a Let n = 0.44 - -2.56. Which is the nearest to -0.4? (a) 2 (b) n (c) 1 c Let l(u) = -3*u + 2. Let o be l(2). Let p = -36 + 15. Let m be 1 - (2 + 15/p). What is the nearest to m in -2/7, o, 0? -2/7 Let y = 6 - 5.6. Let w = y + -0.1. Which is the nearest to 1/2? (a) 0.4 (b) w (c) -4 a Let b = -0.09 + -11.41. Let z = b - -11. What is the closest to 1 in -3, z, 1? 1 Let z = -1.6 + -0.4. Let v = z + 1. Let h(c) = c - 10. Let y be h(9). What is the closest to y in -3, 2, v? v Let x = -0.04 - -0.34. Suppose 5*r - 4 = 6. Suppose r + 0 = -2*s. Which is the nearest to -3? (a) x (b) 0.1 (c) s c Suppose 0 = -3*g - 4*p + 47, p - 2*p = 4. Suppose j + 4*s = 17, 3*j + 4*s = -2*j + g. Let r be ((-10)/6)/j + 1. What is the nearest to -2/13 in 1/6, r, -2? 1/6 Let i be 0 + 1 + (-2016)/435. Let h = -18/5 - i. Let v = -32/87 + h. Which is the closest to v? (a) 0 (b) 3 (c) -4 a Suppose 2*i - 5*i + 39 = 0. Let r be (-1 + i/14)*-16. Let k = r - 26/35. Which is the nearest to k? (a) -0.2 (b) -0.1 (c) 0.4 c Let p = 9 + -9. Let w be -1*4/(-6)*-3. Let m be -1*(w + 7/4). Which is the nearest to m? (a) 0.4
{ "pile_set_name": "DM Mathematics" }
- 95 = -300 for h. -5 Solve 6*j - 11 = 13 for j. 4 Solve -30 = 6*j - 6 for j. -4 Solve 0 = 2*f - f - 2 for f. 2 Solve -12*p - 80 = 28 for p. -9 Solve 3*z = 5805 - 5838 for z. -11 Solve -5*d + 22*d - 34 = 0 for d. 2 Solve -15*n - 260 = -200 for n. -4 Solve 18*u - 135 = -9 for u. 7 Solve 6*t = 3*t - 12 for t. -4 Solve -2*d + 6 = -5*d for d. -2 Solve -3*f - 15 = -0*f for f. -5 Solve 3*l = 6*l - 3 for l. 1 Solve 20*h + 74 + 6 = 0 for h. -4 Solve -29*i + 22 = -7 for i. 1 Solve -27*w = -51*w + 72 for w. 3 Solve 58 = -17*q - 95 for q. -9 Solve 0 = 4*n - 3*n - 1 for n. 1 Solve -1292*r = -1293*r - 1 for r. -1 Solve 3*c + 12 = 7*c for c. 3 Solve -3*g - 3 = -3 for g. 0 Solve 2*l + 6 = 5*l for l. 2 Solve 7*x + 0 = 28 for x. 4 Solve -634 = -4*l - 606 for l. 7 Solve 34 = -0*b - 17*b for b. -2 Solve 99 - 3 = 24*v for v. 4 Solve 17*t - 128 = -26 for t. 6 Solve 14*w + 6 = 8*w for w. -1 Solve -37*g + 5*g = -192 for g. 6 Solve 0 = -6*b + 133 - 157 for b. -4 Solve 75*u = 95*u - 100 for u. 5 Solve 3 - 6 = 3*n for n. -1 Solve -45*k + 42*k + 18 = 0 for k. 6 Solve 112*b = 97*b for b. 0 Solve -127*t = -177*t - 200 for t. -4 Solve d + 6 = 3*d for d. 3 Solve 0 = -f + 6 - 9 for f. -3 Solve 25 = -6*i + 19 for i. -1 Solve -10*i = -12*i - 4 for i. -2 Solve 0 = -3*z - 371 + 380 for z. 3 Solve 2329*l - 2324*l = -25 for l. -5 Solve 0 = g - 15 + 14 for g. 1 Solve 0 = 13*d + 15*d + 140 for d. -5 Solve -17*b = -39 + 5 for b. 2 Solve 8*u - 68 = -68 for u. 0 Solve 484 = -0*l - 44*l for l. -11 Solve -42 + 6 = -9*a for a. 4 Solve 24 = 2*s - 8*s for s. -4 Solve 7 - 2 = f for f. 5 Solve 20*s - 38*s = -144 for s. 8 Solve 0 = f - 6 + 5 for f. 1 Solve -4*i + 5*i = 2*i for i. 0 Solve 23*b = 20*b + 15 for b. 5 Solve -2*w - 31 = -21 for w. -5 Solve -8*q = q - 6*q for q. 0 Solve 6*l - 2 = 22 for l. 4 Solve 9*v = -20 + 47 for v. 3 Solve 86*t - 91 = 99*t for t. -7 Solve -238*m + 241*m = 3 for m. 1 Solve -604*j + 72 = -592*j for j. 6 Solve 51*j - 19*j - 320 = 0 for j. 10 Solve -32 - 4 = -9*b for b. 4 Solve 39 = 7*f - 20*f for f. -3 Solve 0 = 34*i - 82*i + 384 for i. 8 Solve -1439*q + 1464*q = 25 for q. 1 Solve 103*b - 98*b = 15 for b. 3 Solve 7*d + 1301 - 1287 = 0 for d. -2 Solve -14*z - 28 = -0*z for z. -2 Solve -v + 45 = -10*v for v. -5 Solve -v - 9 = -10 for v. 1 Solve -135*z + 5 = -134*z for z. 5 Solve -124*u - 90 = -114*u for u. -9 Solve 0 = -6*v + 90 - 96 for v. -1 Solve 4 = -88*c + 92*c for c. 1 Solve 24 = -260*l + 263*l for l. 8 Solve 73 + 56 = 43*s for s. 3 Solve 5*d - 240 + 230 = 0 for d. 2 Solve 12*o = 55*o + 43 for o. -1 Solve 84 = 11*z + z for z. 7 Solve 2*y + 0*y + 8 = 0 for y. -4 Solve 0 = -90*h + 85*h - 25 for h. -5 Solve -331*b = -326*b - 20 for b. 4 Solve 29*g - g = 56 for g. 2 Solve 0 = 16*w - 51 - 29 for w. 5 Solve 16*j = 4 - 20 for j. -1 Solve 75*b = 82*b + 21 for b. -3 Solve 0 = -3*h + 4 - 10 for h. -2 Solve 12*b + 96*b = 864 for b. 8 Solve q + 6 = 5 for q. -1 Solve 75 = 20*c - 25 for c. 5 Solve -3*g = 5 - 11 for g. 2 Solve 184 - 64 = -20*l for l. -6 Solve -119*j = -137*j - 18 for j. -1 Solve 12*b = 30*b - 8*b for b. 0 Solve 14*f - 280 = -154 for f. 9 Solve 8*r + 800 = 88*r for r. 10 Solve -6*h = -32*h + 26 for h. 1 Solve -40*i + 107 = 27 for i. 2 Solve 104 = 65*g - 13*g for g. 2 Solve 0 = -0*o - o + 2 for o. 2 Solve -5*b + 7 - 12 = 0 for b. -1 Solve 5*p - 48 = 29*p for p. -2 Solve 5*s + 80 = 55 for s. -5 Solve 7*g = 4*g + 9 for g. 3 Solve 1301 = 6*g + 1349 for g. -8 Solve 0 = 42*m - 13 + 223 for m. -5 Solve q - 97 = -94 for q. 3 Solve 0 = 6*r + 11*r - 17 for r. 1 Solve 1060*g = 1070*g - 110 for g. 11 Solve 11*s + 26 = 26 for s. 0 Solve 14*o = -11*o for o. 0 Solve -340 = -2*u + 70*u for u. -5 Solve -34 + 13 = 7*y for y. -3 Solve 22 = -59*d + 81 for d. 1 Solve r - 1 = 4 for r. 5 Solve -65 - 26 = 13*u for u. -7 Solve -3 = p - 2 for p. -1 Solve -9*i - 2 = -2 for i. 0 Solve 452 = -89*z + 1342 for z. 10 Solve 97 = 6*x + 109 for x. -2 Solve 2772 - 2814 = -14*l for l. 3 Solve 0 = 2*w - 4*w for w. 0 Solve -6*j + 31 = 13 for j. 3 Solve 15 = -10*a + 5*a for a. -3 Solve 86 = 22*s - 112 for s. 9 Solve -29*f + 18 + 11 = 0 for f. 1 Solve 13*o = -19*o + 128 for o. 4 Solve 6*v = -6*v + 24 for v. 2 Solve -139*h + 6 = -136*h for h. 2 Solve 25*l + 10 = 20*l for l. -2 Solve -18*w + 63 + 27 = 0 for w. 5 Solve -19*k - 79 = 73 for k. -8 Solve 10*k = 29*k + 76 for k. -4 Solve -480 = -67*v - 29*v for v. 5 Solve -5*i - 20*i = -25 for i. 1 Solve -32 = -9*j + 31 for j. 7 Solve 92*i = 86*i for i. 0 Solve 0 = k + 32 - 37 for k. 5 Solve 241*v - 247*v + 24 = 0 for v. 4 Solve 41 - 11 = 15*v for v. 2 Solve 2*w = w - 1 for w. -1 Solve -13*w = 6*w for w. 0 Solve -32 = 11*i - 10 for i. -2 Solve -298*r + 278*r - 20 = 0 for r. -1 Solve 55*j - 34 = 72*j for j. -2 Solve -6*q = -q + 10 for q. -2 Solve v + 1 = -3 for v. -4 Solve -4*v + 78 - 70 = 0 for v. 2 Solve 2*q + 6*q = 32 for q. 4 Solve -216*j = -235*j for j. 0 Solve -63 = 2*f - 63 for f. 0 Solve -50*s - 22 = 178 for s. -4 Solve -2*x + 175 = 163 for x. 6 Solve -6*q - 374 = -380 for q. 1 Solve -8*x = -x - 35 for x. 5 Solve 16*x + 4 - 36 = 0 for x. 2 Solve 0 = 5*a - 2*a + 2*a for a. 0 Solve 0 = 3*s - 2*s + 1 for s. -1 Solve -m - 2 + 5 = 0 for m. 3 Solve -28 = 13*v - 20*v for v. 4 Solve -64*q - 185 = 71 for q. -4 Solve -2300*q + 2281*q = -171 for q. 9 Solve -28*r - 120 = -4*r for r. -5 Solve -217*y - 25 = -212*y for y. -5 Solve 9*m = 6*m - 4*m for m. 0 Solve 200*m = 192*m + 24 for m. 3 Solve -b - 21 + 20 = 0 for b. -1 Solve -73*t + 65*t = -88 for t. 11 Solve 26*g - 36*g = -50 for g. 5 Solve -40 = y + 7*y for y. -5 Solve 7*s = 1 + 6 for s. 1 Solve -2*g = 32 - 30 for g. -1 Solve -52*m = -98*m + 414 for m. 9 Solve 14 = -10*r - 16 for r. -3 Solve -57 = -18*s - 21 for s. 2 Solve -6*h = -47 + 17 for h. 5 Solve -8*a + 19 = 11*a for a. 1 Solve -2*d = -7 + 11 for d. -2 Solve -12*f = 36 + 12 for f. -4 Solve -o - 9 = 2*o for o. -3 Solve 0 = -0*i + 7*i - 35 for i. 5 Solve -24*m + 3 = -21*m for m. 1 Solve -24 = 53*g - 61*g for g. 3 Solve 55*z = 233 + 42 for z. 5 Solve 15*u - 186 = -16*u for u. 6 Solve -5*k - 6 = k for k. -1 Solve 36 = 9*g - 18*g for g. -4 Solve 15*r + 6 + 54 = 0 for r. -4 Solve 15*s - 220 = -190 for s. 2 Solve -269*f + 268*f = -4 for f. 4 Solve 40 + 44 = -12*n for n. -7 Solve 0 = w - 0 - 1 for w. 1 Solve -8*y = -4*y - 0*y for y. 0 Solve -5*n - 21 = -1 for n. -4 Solve 19*l + 48 = 67*l for l. 1 Solve 967*k - 242 = 989*k for k. -11 Solve 15*y = 31 + 59 for y. 6 Solve -20*s + 7 = -13*s for s. 1 Solve -18 = 35*j + 192 for j. -6 Solve 228*v + 32 = 232*v for v. 8 Solve 1 = -2*m - 7 for m. -4 Solve -25 + 54 = 29*a for a. 1 Solve 0 = -8*z + 12*z - 8 for z. 2 Solve -23*h + 0*h - 46 = 0 for h. -2 Solve -13*x - 22 = 9*x for x. -1 Solve 0 = -37*p + 53*p for p. 0 Solve -31*d = 46*d - 154 for d. 2 Solve -58 - 22 = -16*v for v. 5 Solve -7*f + 99 - 85 = 0 for f. 2 Solve 17 + 2 = -19*s for s. -1 Solve 6*s + 4 = 16 for s. 2 Solve 2*d = 4*d + 3*d for d. 0 Solve -4*l + 8 = 28 for l. -5 Solve -474 + 420 = -9*g for g. 6 Solve 5*c = 54*c - 4*c for c. 0 Solve 52*d = 50*d - 10 for d. -5 Solve 0 = 4*w + 8 - 0 for w. -2 Solve 6*s = 5*s + 1 for s. 1 Solve -2*s = -4*s + 2 for s. 1 Solve -68*z = -72*z - 12 for z. -3 Solve -h + 4 = -5*h for h. -1 Solve 0 = 7528*h - 7520*h - 56 for h. 7 Solve 3*y = -3 - 3 for y. -2 Solve -44*x + 68 = 200 for x. -3 Solve -32*k + 21*k = 11 for k. -1 Solve 23*y = -75 - 17 for y. -4 Solve -22*u + 75 = -7*u for u. 5 Solve -9*l - 155 = -137 for l. -2 Solve -j = 11 - 10 for j. -1 Solve 0 = -w + 15 - 16 for w. -1 Solve -2*a - 12 = -2 for a. -5 Solve 93 = 5*k + 73 for k. 4 Solve 9*v + 175 = 121 for v. -6 Solve 90*x + 318 = -42 for x. -4 Solve 0 = 102*x - 95*x - 42 for x. 6 Solve 14*i = -10*i - 120 for i. -5 Solve -36*m - 32 = -44*m for m. 4 Solve -90*h + 240 = -60*h for h. 8 Solve 2*b - 33 + 31 = 0 for b. 1 Solve 31 = 13*v - 21 for v. 4 Solve 0 = -5*r - 138 + 143 for r. 1 Solve 0 = 4*h + 105 - 125 for h. 5 Solve 747*b - 50 = 737*b for b. 5 Solve -1493 = 3*k - 1487 for k. -2 Solve 8*f - 9*f + 12*f = 0 for f. 0 Solve -192 = 610*q - 586*q for q. -8 Solve 3*p + 106 = 82 for p. -8 Solve 12*q + 951 - 1047 = 0 for q. 8 Solve -12*k + 16*k - 8 = 0 for k. 2 Solve 176 - 164 = 4*b for b. 3 Solve 11*l = 5*l + 24 for l. 4 Solve -88*c = -97*c + 9 for c. 1 Solve 1 = 255*w - 256
{ "pile_set_name": "DM Mathematics" }
g order. 514, 116, 4, -1, -5 Put 0.06, 4/9, 7333, 1/5 in increasing order. 0.06, 1/5, 4/9, 7333 Sort -5, 18, 2, -4, -2. -5, -4, -2, 2, 18 Put -3, -2/11, -16, -687, -1 in ascending order. -687, -16, -3, -1, -2/11 Put 5, -180, 9, 0 in decreasing order. 9, 5, 0, -180 Put 0.2, 52/41, 3/2, 9 in ascending order. 0.2, 52/41, 3/2, 9 Sort -1/5, -5, -0.7, 0.2 in descending order. 0.2, -1/5, -0.7, -5 Put 5, -67, -5, 1 in ascending order. -67, -5, 1, 5 Sort -3/4, 1.7, 7, -1, 31. -1, -3/4, 1.7, 7, 31 Sort -3, 1, -2, -1 in descending order. 1, -1, -2, -3 Sort -5239, -4, -0.059, -5 in decreasing order. -0.059, -4, -5, -5239 Sort -0.1, 2, 0.07, 0.1, 14/9, -5 in descending order. 2, 14/9, 0.1, 0.07, -0.1, -5 Sort 1, 3, 7, 5, -2, 4 in ascending order. -2, 1, 3, 4, 5, 7 Sort -54, -5, -3, 4, -629 in descending order. 4, -3, -5, -54, -629 Sort 6, 9, 5, -1, 2, -95 in decreasing order. 9, 6, 5, 2, -1, -95 Sort 4, 3, 5, 0, -2918 in ascending order. -2918, 0, 3, 4, 5 Sort -7, -1, -80, 180, -5 in decreasing order. 180, -1, -5, -7, -80 Sort 716, -74, -1, 2 in increasing order. -74, -1, 2, 716 Put 270, 11, 5, -5, 2/7, -0.1 in decreasing order. 270, 11, 5, 2/7, -0.1, -5 Put -1395, -146, 4 in descending order. 4, -146, -1395 Sort 3, -3, 307 in ascending order. -3, 3, 307 Put -5, 1, 130 in ascending order. -5, 1, 130 Put 0, -2/13, -1/3, -16 in decreasing order. 0, -2/13, -1/3, -16 Put 6, -2, -352, -4, -5, 3 in descending order. 6, 3, -2, -4, -5, -352 Sort -2, -5, 0, -6808, 59 in descending order. 59, 0, -2, -5, -6808 Sort 0.28, -0.02, -0.1, -3/2. -3/2, -0.1, -0.02, 0.28 Sort -2/5, 0, 3/8, -6/61 in ascending order. -2/5, -6/61, 0, 3/8 Sort 0, -5, 7, -11, -4, 3 in ascending order. -11, -5, -4, 0, 3, 7 Sort -25, 20, 2, -23. -25, -23, 2, 20 Sort 0.2, -1, 0.144, -30, -2/9, 1/4 in descending order. 1/4, 0.2, 0.144, -2/9, -1, -30 Sort 2, -1, -0.03, 5, 10, -0.2 in descending order. 10, 5, 2, -0.03, -0.2, -1 Put -5, -0.3, 4686 in increasing order. -5, -0.3, 4686 Sort 3/7, 3/2, 0.9, -71, 5 in ascending order. -71, 3/7, 0.9, 3/2, 5 Put -16.9, 50, 1/7, -3 in increasing order. -16.9, -3, 1/7, 50 Sort 1728, -2, 41, -12 in decreasing order. 1728, 41, -2, -12 Put -1, 6031, -5 in increasing order. -5, -1, 6031 Sort -2, -0.03, -71/33 in increasing order. -71/33, -2, -0.03 Sort 11503, -1, 3. -1, 3, 11503 Sort -5, -1, 129742. -5, -1, 129742 Sort 58, -1, -7, -311 in decreasing order. 58, -1, -7, -311 Sort -3, -7.8, 152, -2/9, 2, -1/4. -7.8, -3, -1/4, -2/9, 2, 152 Sort -3, 0, 70/11, 12, -6/11, 1 in increasing order. -3, -6/11, 0, 1, 70/11, 12 Sort 6, 1/6, -0.3, -506/13. -506/13, -0.3, 1/6, 6 Sort -2/3, -3584, -4 in ascending order. -3584, -4, -2/3 Put 51, -23, 5, -4, -9 in increasing order. -23, -9, -4, 5, 51 Sort 0.3, 1/5, -2, 3991, 0, 1. -2, 0, 1/5, 0.3, 1, 3991 Sort -9, -57, -2, 25 in increasing order. -57, -9, -2, 25 Sort -19, 1, -5, -6, -3, 3 in increasing order. -19, -6, -5, -3, 1, 3 Sort -4, -2/827, 3, -14, -0.04, 1/2 in decreasing order. 3, 1/2, -2/827, -0.04, -4, -14 Put 6, 109, -1, 17 in descending order. 109, 17, 6, -1 Put 49, 4, 5, 39 in descending order. 49, 39, 5, 4 Put 3, 19, 0.2, -156/17, 0.3 in decreasing order. 19, 3, 0.3, 0.2, -156/17 Sort 13, 1, -1, -4, 8, 3 in decreasing order. 13, 8, 3, 1, -1, -4 Sort 5, -10, -501, 0.5, -0.5, 4 in ascending order. -501, -10, -0.5, 0.5, 4, 5 Sort 165, -11, -141 in ascending order. -141, -11, 165 Put -3, 217, -35 in descending order. 217, -3, -35 Put -3/4, -1291150, -0.1 in descending order. -0.1, -3/4, -1291150 Sort -2599, 1, -4, -2/3. -2599, -4, -2/3, 1 Sort 53, 5, 112, -1 in decreasing order. 112, 53, 5, -1 Sort -1/2, 2046/7, 2/13, -1/10, 2 in ascending order. -1/2, -1/10, 2/13, 2, 2046/7 Sort -1/3, 3.83, 267 in ascending order. -1/3, 3.83, 267 Put 7, 4, -5, 13 in ascending order. -5, 4, 7, 13 Put 87, 4, -35, -4 in decreasing order. 87, 4, -4, -35 Sort 3, 8, 741, -2, 2. -2, 2, 3, 8, 741 Put 4, 240, -1, -8, 3 in decreasing order. 240, 4, 3, -1, -8 Put -4, 275084, -5 in descending order. 275084, -4, -5 Put -1, 100, 3 in decreasing order. 100, 3, -1 Put 0, 100, 5, 1182 in ascending order. 0, 5, 100, 1182 Put 507, 14, 1 in increasing order. 1, 14, 507 Sort 1198.1, -0.5, 1/9. -0.5, 1/9, 1198.1 Sort -5, 1, 0, 10, 5, -68 in decreasing order. 10, 5, 1, 0, -5, -68 Sort -3, -17, 2, 2108, -5. -17, -5, -3, 2, 2108 Sort -2, 2, -9, -10, -194. -194, -10, -9, -2, 2 Sort -0.5, -0.07, -36, -1/6, -6 in ascending order. -36, -6, -0.5, -1/6, -0.07 Sort 1.496, -0.1, -18, -0.5. -18, -0.5, -0.1, 1.496 Sort 2, -1, -5, 114, -49 in increasing order. -49, -5, -1, 2, 114 Put -2, -12, 18/13, 1 in decreasing order. 18/13, 1, -2, -12 Sort 7/3, -0.1, 703, 0.5, -8 in descending order. 703, 7/3, 0.5, -0.1, -8 Put 1, 8, 0, 47, 61 in descending order. 61, 47, 8, 1, 0 Sort 1, -4, 21325 in ascending order. -4, 1, 21325 Sort -6, -2, -0.3, -42, 0 in ascending order. -42, -6, -2, -0.3, 0 Sort -13, 6716, -1 in descending order. 6716, -1, -13 Put 2/5, 120, 0.288, 3, -2/3, -4 in descending order. 120, 3, 2/5, 0.288, -2/3, -4 Put -5, -1, -307, -2, 2, -4 in descending order. 2, -1, -2, -4, -5, -307 Sort -2627, 4, 1, 10. -2627, 1, 4, 10 Sort 899, 7, -2, -5, -3. -5, -3, -2, 7, 899 Sort -5, 76, 3, 2, 5, -2 in descending order. 76, 5, 3, 2, -2, -5 Sort -0.7, -2, -2/7, -5, 0.3, -3. -5, -3, -2, -0.7, -2/7, 0.3 Sort 520303, -4, 4, -3. -4, -3, 4, 520303 Sort -13, 12, 0, 29 in descending order. 29, 12, 0, -13 Sort 0, -5, 2, -2, -128, -4 in decreasing order. 2, 0, -2, -4, -5, -128 Sort -6, 12, -0.2, 1 in decreasing order. 12, 1, -0.2, -6 Put -4, -14, -28 in increasing order. -28, -14, -4 Sort 3, -5, 5, 52, 49 in increasing order. -5, 3, 5, 49, 52 Put 64, -2.2, -889 in decreasing order. 64, -2.2, -889 Put -0.35, 0.1, 14 in descending order. 14, 0.1, -0.35 Put -1, -69, -97, -2, 1, 4 in descending order. 4, 1, -1, -2, -69, -97 Put 117, -23, -5 in descending order. 117, -5, -23 Sort 0, -86, -6, -2, 4, -10 in descending order. 4, 0, -2, -6, -10, -86 Put -18, -3, -1/62 in descending order. -1/62, -3, -18 Put -5, 2, -125, 5, -4, 0 in descending order. 5, 2, 0, -4, -5, -125 Put 41406, 7, 5 in decreasing order. 41406, 7, 5 Sort 5, -31, 1, -107. -107, -31, 1, 5 Put -130515, 4, -2 in descending order. 4, -2, -130515 Sort -418, 1948, 5/4. -418, 5/4, 1948 Sort 116/11, 2/5, -4, 7.9, -0.4. -4, -0.4, 2/5, 7.9, 116/11 Sort -2, 5, 4/3, 0.2, 90, -1/7. -2, -1/7, 0.2, 4/3, 5, 90 Put -3, 0.1, 1/2, -4112, 4/3, 7 in increasing order. -4112, -3, 0.1, 1/2, 4/3, 7 Sort 1444/3, 1/2, -61. -61, 1/2, 1444/3 Sort -1/3, 4/7, -2, -105/2, -3/4 in descending order. 4/7, -1/3, -3/4, -2, -105/2 Sort 1/2, 948, 0.2, 4, 0.13 in descending order. 948, 4, 1/2, 0.2, 0.13 Sort -51, -3, -5, -1, 0. -51, -5, -3, -1, 0 Sort 7, 4, -2, -2225. -2225, -2, 4, 7 Put -4, 6/11, -1/2 in decreasing order. 6/11, -1/2, -4 Sort -223, 3, 0.4, -0.4, 2.6, -3/8 in increasing order. -223, -0.4, -3/8, 0.4, 2.6, 3 Sort 153, 6, 5, -1, -2 in descending order. 153, 6, 5, -1, -2 Sort -3, 2, -2, 133250 in decreasing order. 133250, 2, -2, -3 Put -3, 141, -4, -2, -278 in decreasing order. 141, -2, -3, -4, -278 Sort -3, -2/3, 1/2, -11, -1019 in descending order. 1/2, -2/3, -3, -11, -1019 Put -2/11, -12, -5, 2/11, -2/9 in decreasing order. 2/11, -2/11, -2/9, -5, -12 Sort -7, -566/5, -1, 2 in ascending order. -566/5, -7, -1, 2 Sort 2/3, 6.2, 0.5, 5/2, -0.4 in decreasing order. 6.2, 5/2, 2/3, 0.5, -0.4 Sort 0, -2794, 22 in descending order. 22, 0, -2794 Sort 842, 0, 44 in increasing order. 0, 44, 842 Put -0.028, -3, -44/9 in decreasing order. -0.028, -3, -44/9 Put -13, 5, 51, -5 in ascending order. -13, -5, 5, 51 Sort 0, -15872, -38 in decreasing order. 0, -38, -15872 Put -10, -2.9, -1/7, -1/9 in increasing order. -10, -2.9, -1/7, -1/9 Put -34, -37, -3, 0, -0.1 in ascending order. -37, -34, -3, -0.1, 0 Sort -79, -3, 2506 in increasing order. -79, -3, 2506 Sort -2, 1, -6, 3210, -3. -6, -3, -2, 1, 3210 Sort 0.7, -12, -30, -1. -30, -12, -1, 0.7 Put -1, 5, 1, 111, 6 in descending order. 111, 6, 5, 1, -1 Sort -10, 3, 1, -5, 166 in increasing order. -10, -5, 1, 3, 166 Put 129, 1, 234, 0 in decreasing order. 234, 129, 1, 0 Put -1/6, 27, 1, -720 in decreasing order. 27, 1, -1/6, -720 Sort 4307, -23, 5 in decreasing order. 4307, 5, -23 Sort -4563, -3, 5, 0, 4 in decreasing orde
{ "pile_set_name": "DM Mathematics" }
*h - 110 = -2*w. List the prime factors of w. 2, 13 Let j(u) = -2*u**3 - 2*u**2 + 3*u + 5. What are the prime factors of j(-3)? 2 Suppose -58 = u + j + 4*j, 10 = -2*j. Let g = -17 - u. List the prime factors of g. 2 List the prime factors of 14/(3*(1 + (-11)/12)). 2, 7 Let g = -5 + 2. Let n(w) be the first derivative of w**3/3 + w**2 + w + 3. List the prime factors of n(g). 2 Let i(n) = -13 + n + 4*n - 7*n + 4*n. Suppose 0 = -a - 4*g - 2 - 8, 4*a + g = 35. List the prime factors of i(a). 7 Let k be 6*(-3)/(-6) - 3. Suppose k = 4*o + 12. Let f(y) = -y - 1. List the prime factors of f(o). 2 Suppose -8 = 4*o, -4*p - 2*o - 10 = -5*o. Let y be (-7 + 5)*126/p. Suppose -5*k + 41 = z, -y = -4*z + 4*k - 19. What are the prime factors of z? 2 Suppose 69 = -4*c - 7. Let b = c - -32. List the prime factors of b. 13 Let g(c) be the second derivative of -c**3 + 2*c + 3/2*c**2 + 0. What are the prime factors of g(-3)? 3, 7 Let q(j) = -j**2 - 11*j + 4. Suppose d = -d - 22. Let u be q(d). Suppose -a + u*w + 1 = -3, 5*a + 3*w = 20. What are the prime factors of a? 2 Suppose h - 16 - 14 = 0. What are the prime factors of h? 2, 3, 5 Let k(m) be the first derivative of -m**2/2 - 4*m + 2. What are the prime factors of k(-9)? 5 Let d(n) = -n**3 + 4*n**2 + n - 1. List the prime factors of d(3). 11 Let b = 651 + -267. What are the prime factors of b? 2, 3 Suppose l - 13 = -0. List the prime factors of l. 13 Let p be (-3 - -3 - -4) + -1. List the prime factors of p/4*(2 - -18). 3, 5 Let v be 4*(0 + 31/(-4)). Let z = -18 - v. Let t = z - 5. What are the prime factors of t? 2 Suppose 40 = 2*o - 6*o. Let i be -2*5/(o/4). Suppose -4*z + x = -69, -2*z = 2*z - i*x - 60. What are the prime factors of z? 2, 3 Suppose -z + 4 = -1. Let k = z + -23. Let h = -9 - k. List the prime factors of h. 3 Let u be 5*4/10*-2. Let q(n) = n**2 + n + 3. List the prime factors of q(u). 3, 5 Suppose 0 = -p + 2*p - 80. Suppose 0*t - p = -5*t. What are the prime factors of t? 2 Let h = 54 - 35. Suppose 0 = -4*l - 12, -s + l + h = s. What are the prime factors of s? 2 Let m = 5 - 8. What are the prime factors of m*(136/(-3))/4? 2, 17 What are the prime factors of 19 - (3 + -3)/3? 19 Let j(m) = m - 2. Let r(c) = c. Suppose -4*k = k - 20. Let f be r(k). List the prime factors of j(f). 2 Let i(o) = 2*o + 8. Let x be i(-6). Let d be x/((-2)/(-1)) + 1. What are the prime factors of (-3 + -3)*(0 + d)? 2, 3 Let g(r) = -r**2 + 8*r + 13. Suppose 0 = -3*a - a + 36. What are the prime factors of g(a)? 2 Let s(r) = 5*r**2 + 4*r**2 - 6*r**2. What are the prime factors of s(2)? 2, 3 Let u = 335 - 145. List the prime factors of u. 2, 5, 19 Let o be -6*(3 - 14/6). Let u = 9 + o. What are the prime factors of u? 5 Suppose v + 0 = 4. Suppose -n - v*n = -60. What are the prime factors of n? 2, 3 Suppose 0 = -3*c - 3*y + 12, -3*c + 2*y = -y. Let d = c - -6. What are the prime factors of d? 2 Suppose 2*y - 70 = y. What are the prime factors of y? 2, 5, 7 Let k(h) = -9*h - 61. List the prime factors of k(-19). 2, 5, 11 Let x = -11 - -18. Let s = 11 - 7. Suppose -s*z + 5*z - x = 0. What are the prime factors of z? 7 Let i = 14 - 7. Let g be (-18)/4*(2 + -4). Let w = g - i. What are the prime factors of w? 2 Let g = 4 - -2. Suppose -15 = -3*f - 3*n + g*n, 4*n - 20 = -f. What are the prime factors of f? 2 Let p(i) = -24*i**3 + 2*i**2 + 2*i + 1. Suppose -3*j = -0*j + 3. Let y be p(j). List the prime factors of (-2)/(-5) + 290/y. 2, 3 Let a(s) = s**2 - 6*s - 11. List the prime factors of a(-6). 61 Suppose 3*j - 4*j - 18 = 0. Let q = 25 + j. What are the prime factors of q? 7 Let t(b) be the second derivative of -2*b**2 + 2*b + b**3 + 0 + 1/6*b**4. What are the prime factors of t(-5)? 2 Suppose 120 = 7*x - 4*x. What are the prime factors of x? 2, 5 Let i = -55 - -119. List the prime factors of i. 2 Suppose -3*h + j + 0 + 2 = 0, 5*h = -j + 14. What are the prime factors of h? 2 Let x(h) = -7*h**2 - 12*h - 2. Let b(d) = -15*d**2 - 25*d - 3. Let s be (3/5 + -1)*-15. Let k(m) = s*b(m) - 13*x(m). List the prime factors of k(-6). 2 Let y = 10 - -4. Let u = y + 0. List the prime factors of u. 2, 7 Let t(q) = 2*q**2 + 3*q + 2. Let v be t(-2). Let p be (v/(-6))/((-1)/3). Suppose p = 2*d - 6. What are the prime factors of d? 2 What are the prime factors of 5*(-4 - (-381)/15)? 107 Suppose 4*d + 417 = 5*h, d = -h - 0*h + 78. What are the prime factors of h? 3 Suppose 0*g + 8 = 5*g + 2*o, -5*o = -4*g + 13. What are the prime factors of 30/4*g/3? 5 Let v(w) be the second derivative of 1/6*w**3 + 1/6*w**4 + 0 + w**2 - w. What are the prime factors of v(-2)? 2 Let i(t) = 7*t - 7. What are the prime factors of i(3)? 2, 7 Let k be 10 + 0*(-1)/(-2). Let z be (k/(-4))/5*-6. Suppose 3 = z*w - 27. List the prime factors of w. 2, 5 Suppose 2*g - 5*c + 7 = 3, 5 = -g + 4*c. Suppose m + g = 0, -4*m - 3 + 0 = 3*r. Suppose 0 = 2*u - x - 10, -3*u + 3*x + r = -6*u. List the prime factors of u. 3 Let n(y) = y**3 + 4*y**2 - 4. Let j be n(-3). Suppose 2*c - 57 + 15 = -4*u, 4*c + j*u - 69 = 0. List the prime factors of c. 11 Let p = 2 - 18. Let z be (-3)/9 + p/(-3). Suppose -s = -z - 12. What are the prime factors of s? 17 Let q(a) = 2*a**2 + a - a - a - a - 3. Let b be (-2)/(-4) + (-5)/(-2). What are the prime factors of q(b)? 3 Suppose -13*k = -111 - 435. List the prime factors of k. 2, 3, 7 Let w(c) = 5*c**3 - c. Let x be w(1). Suppose -x = -5*h + 6. Suppose -h*f = -3*y - 20, -4*y = -0*y - 8. What are the prime factors of f? 13 Suppose -11*y + 70 = -282. List the prime factors of y. 2 Let i be (8 - -1)*(-4)/(-12). Suppose -t - 1 = -i. Suppose -t*z + 26 = -0*z. What are the prime factors of z? 13 Suppose -g - 692 = -3*m, -m - 3*g + 110 = -104. List the prime factors of m. 229 Suppose 0 = -2*f - 3*f - 3*t + 330, -198 = -3*f - 2*t. List the prime factors of f. 2, 3, 11 Suppose 4*x + 3*g = -64, -5*x + 3*g = -0*x + 80. List the prime factors of -42*(x/(-6) - 3). 2, 7 Suppose 5*a - 6 = 4. List the prime factors of a. 2 Suppose 0 = -v + n + 4*n - 4, 2*n = 0. Let i be ((-5)/v)/(2/8). Suppose -i*m = -2*x + 1, 0 = -2*x + 5*x - 4*m - 5. List the prime factors of x. 3 Let w be ((-9)/(-6))/((-1)/(-2)). Suppose -3*g - 58 = -3*r - 2*r, -5*r + 5*g = -50. Suppose z = w*z - r. What are the prime factors of z? 7 Let i be -11*3*(-2)/6. Suppose i = -4*c + 103. List the prime factors of c. 23 Let d(h) be the first derivative of -h**3/3 + 5*h**2/2 - 4. List the prime factors of d(4). 2 Suppose 0 = 3*o + 9, 3*r + 4*o = -0*r + 15. Let x be (4/(-6))/((-2)/r). Suppose 0 = 5*k + 3*i - 21, 27 = x*k + 2*k + i. List the prime factors of k. 2, 3 Let r = -1 + 5. Suppose -r*z = -5*o + 14, -o - 2*z = 3*o - 32. What are the prime factors of o? 2, 3 Suppose -4*o = 4*h + 100, -4*o + 5*h - 73 = -0*h. Let r be (-3)/(2 - o/(-8)). Suppose r*z + 0*z - 32 = 0. List the prime factors of z. 2 Let d(k) = k**3 + 11*k**2 - 18*k + 5. List the prime factors of d(-12). 7, 11 Let b be 3/((-9)/76)*15. List the prime factors of b/(-15) + (-4)/(-6). 2, 13 Let b = -16 - -19. Suppose 5*n = -2*w + 45, -4*w + 2*w = b*n - 47. List the prime factors of w. 5 List the prime factors of 8/(-2) - (-94 - 3/(-3)). 89 Let s(c) = -9*c - 2. Let h(l) = -8*l - 3. Let g(z) = 6*h(z) - 5*s(z). Suppose -r - 39 = 3*r - 5*f, r = -5*f + 9. What are the prime factors of g(r)? 2, 5 Suppose 3*l = 223 + 83. List the prime factors of l. 2, 3, 17 Let d(w) = -w**3 + 2*w**2 - 3*w - 3. What are the prime factors of d(-3)? 3, 17 Let b(s) = s**2 + s - 3. Let h be b(-3). What are the prime factors of h*1*16/12? 2 Let x = -8 + 5. List the prime factors of (8/3)/(x/(-9)). 2 Let o(x) = 179*x + 2. Let h be o(-1). What are the prime factors of h/(-9) - 4/(-12)? 2, 5 Let z = 3 + -3. Suppose z*g = 4*g - 80. What are the prime factors of g? 2, 5 Let l = -12 - -14. List the prime factors of 18 + (l - (0 + 2)). 2, 3 Let c(f) = -f**2 - 11*f + 2. Suppose 0 = 5*b - 2*b + x + 27, 0 = 3*b - x + 27. Let g be c(b). What are the prime factors of -3*g/(-3) - 0? 2, 5 Suppose -5*b - 96 = 4*f, -2*b = -3*b + 4. Let z = f + 43. List the prime factors of z. 2, 7 Let l = -12 + 17. Suppose l*f - 6*g - 26 = -2*g, 2*f = -5*g + 17. What are the prime factors of f? 2, 3 Suppose 4*t = 3*c + 2, 4*t = -2 - 2. Let k = c - -9. Suppose b = -2*b, g = -4*b + k. What are the prime
{ "pile_set_name": "DM Mathematics" }
(b) -0.1 (c) 4 (d) q c Let g = 55 - 58. Which is the second smallest value? (a) -3/5 (b) 1 (c) g a Let v = 3061/7 - 437. Which is the third biggest value? (a) -5 (b) 2 (c) -9/5 (d) v c Let x = -4.5 - -6.8. Let v = -6.3 + x. Let w = -3.4 + 0.4. Which is the third biggest value? (a) w (b) v (c) 2/11 b Let n = 0.03 + -2.03. Let y = 0.616 + -2.626. Let g = n - y. Which is the third smallest value? (a) g (b) 3/7 (c) 4 c Let q = 2.97 + -2.77. Let y = -76 + 378/5. Which is the third smallest value? (a) y (b) q (c) 3 (d) -3/4 b Let p = -0.1045 - -50.0045. Let y = p + -50. What is the third biggest value in y, -2/3, 3, -3? -2/3 Let k = 5.94 + 0.06. Let l = -5 + k. Let t = 0.029 + 0.171. Which is the second smallest value? (a) t (b) 0 (c) l a Let s be (-9)/(-8) - 1/4 - 1. Let o = -8.9 + 10.83. Let y = -0.07 - o. Which is the third smallest value? (a) 0.04 (b) s (c) y a Let l be (-11)/(-66)*-2*(-6)/(-79). Which is the third biggest value? (a) -2 (b) l (c) -2/21 a Let m = -3.25 - 33.75. What is the fourth smallest value in -2, m, -0.1, -3? -0.1 Let i = 0.3 + 0.7. Let j = 4.0043 + -0.0043. Let h = j - i. What is the second smallest value in -0.5, -4/7, h? -0.5 Let j be (-12)/18 + (-41)/(-3). Let l = 13 - 19. Let r = l + 5.7. Which is the second smallest value? (a) 0.1 (b) j (c) r a Let v(q) = -4*q**2 + 6. Let m be v(3). Let o be (8/m)/((-4)/6). Let g = 2.7 - 0.7. Which is the smallest value? (a) o (b) g (c) 0 c Let m = 8203 - 24607/3. Let j = -2 + -3. What is the third biggest value in j, -0.5, m, 0.4? -0.5 Let v be (-8)/(-70) + (-2)/(-7). Let s = -0.09 - 0.81. Let n = s + 0.9. Which is the smallest value? (a) n (b) v (c) -4 c Let b = 257/2037 + -3/97. Let y = b - -59/42. What is the fourth biggest value in -2/13, 0.4, 4, y? -2/13 Let z = 46 + -183/4. Let m = -1.3 - -1.3. Let l = m - -0.1. Which is the second biggest value? (a) l (b) z (c) 1/3 b Let l = -7 + 6. Let j = -2099 - -39879/19. What is the third smallest value in -2/23, j, l, 5? -2/23 Let k = 2/989 + -7926/6923. Let m = k - -10/7. Let b = 91 + -92. What is the third biggest value in m, b, 2? b Let o(w) = w**3 + 10*w**2 + 8*w - 3. Let s be o(-9). Suppose -4 = -s*g + 2. Which is the smallest value? (a) 4 (b) 3/7 (c) g b Let z = -0.021 - 1.319. Let q = z + 1.3. Let p = q + -4.96. What is the biggest value in p, 2/13, 0.1? 2/13 Let j(l) = l**2 + 8*l + 3. Let p(n) = 1. Let t(y) = j(y) + 2*p(y). Let d be t(-8). Let x = -0.9 - -1. Which is the second smallest value? (a) x (b) -3 (c) d a Suppose 12 = -3*d + 39. Let o be (16/6)/((-6)/d). Which is the smallest value? (a) o (b) 0.3 (c) 5 a Let s = -15.6 + 16. Suppose 2*q - 1 = -d + 7, -5*d + 3*q - 12 = 0. Which is the third biggest value? (a) d (b) s (c) 1/6 a Let u = -47 - -52. Let g = -3 + 3. Let p = g + u. What is the biggest value in 3, p, 4? p Let d = -22.022 + 22. Let s = 0.278 - d. Let l = -0.5 + 0.3. Which is the third biggest value? (a) l (b) s (c) -12 c Let q = -1.29 + 40.29. What is the third smallest value in 0, 5, q? q Let m be 26/(-5) - 4/(-20). Let h = 6 + -5.7. Let d = h - 0.1. Which is the second biggest value? (a) m (b) d (c) -0.3 c Let x = -476 - -1430/3. Let v = 4.7 - -0.3. What is the third biggest value in -2, v, x, -4? -2 Let w = 0.05 + 0.01. Let x = w - 0.36. Let q = -42/17 - -109/51. What is the second smallest value in x, 4, q? x Let k = 862 - 862.4. Which is the biggest value? (a) -0.051 (b) k (c) 3 c Let w = -9.93 + 10. Let n = -8 - -8.04. Let y = n + -0.14. Which is the third smallest value? (a) y (b) w (c) 0.3 c Let z be 1 - (399/(-28))/(-19). What is the second smallest value in z, 3, 1/48? z Let k = 50 + -50.4. What is the fourth biggest value in 0, k, -5/4, 0.2? -5/4 Let w = -19 - -18. Let r be w + -1 + 42/18. Let d = 2 - -3. Which is the third biggest value? (a) r (b) d (c) -0.4 c Let a = 3 + -2. Suppose 3*p + g = -0*p + 7, 4*p + 3*g = a. Let k = -8.4 - -8. What is the second smallest value in p, 0.1, k? 0.1 Let p = -2.02 + 91.02. Let m = p - 87. Which is the smallest value? (a) m (b) -2/5 (c) -5/6 (d) 2/15 c Let u = 711/2 - 356. Which is the third biggest value? (a) u (b) 2/5 (c) -0.02 (d) 0.5 c Let k = 432.1 + -432. Which is the fourth biggest value? (a) k (b) 4 (c) 0.01 (d) -2/11 d Let p = -1.51 + 1.81. Let v be 2/3*(-189)/(-210). Which is the fourth smallest value? (a) 7/5 (b) p (c) -2 (d) v a Let y = -93 - -92.7. Let k = 3 - 2.9. Let f be 4/(-6) + (-36)/(-81). What is the third biggest value in f, k, y? y Let v = -5.01 + 1.71. What is the smallest value in v, -1/3, -2/11? v Let s be ((-144)/63 - -2)*14. What is the smallest value in s, 38, -0.1? s Let p = 8.6 + -9. Let d be (-12)/28 - (-82)/126. Which is the smallest value? (a) 4 (b) p (c) d b Let b(n) = n**2 + 17*n + 58. Let a be b(-5). What is the third biggest value in 4, -3/2, -2/15, a? -3/2 Let j = -36 + 215/6. Let p = 0.0422 - 0.7422. Which is the fourth smallest value? (a) p (b) j (c) 0.2 (d) 0.3 d Let z be 29/(-87) - (-2)/15. Suppose j = 6*j - 25. Let h = j - 10. Which is the second biggest value? (a) -0.3 (b) z (c) h a Let v = 113 - 117.9. Let d = -0.3 + v. Let u = 0.2 + d. Which is the biggest value? (a) 3 (b) u (c) 2/13 a Let s = -16.7 - -13.3. What is the second biggest value in 1/4, s, 5? 1/4 Let n = -0.214 - 3.786. Which is the fourth biggest value? (a) n (b) -1/7 (c) 0 (d) 1/3 a Let s be (5 - (-49)/(-15)) + 7/(-5). Which is the third biggest value? (a) -7 (b) -11 (c) s (d) 3 a Let f(n) = 4*n**2 + 4*n - 5. Let c be f(1). What is the biggest value in c, -0.2, 3/143? c Suppose 11 = -6*z + 155. Let n be ((-12)/z)/((-1)/2). Which is the smallest value? (a) 0.07 (b) n (c) 5 (d) -1/5 d Let j = -1/11 - 8/33. Which is the third smallest value? (a) -1/6 (b) 4 (c) j (d) -0.3 a Let n = -681 + 544. What is the second smallest value in 0.4, 2, n? 0.4 Suppose 2*n + 4 = 0, -z + 46 = 3*z - 5*n. Suppose -z*o + 4*o = 25. Which is the smallest value? (a) o (b) -2/23 (c) -2 a Let g = 5882/21 - 280. Let z = -108.6 + 120. Let u = -11 + z. Which is the third smallest value? (a) u (b) g (c) -0.3 a Let n = -1465 - -2931/2. What is the fourth biggest value in n, 2/3, -0.5, 1? -0.5 Let n = -4.34 + 3.34. Which is the fourth smallest value? (a) 2/17 (b) n (c) 2/7 (d) -5 c Let r(y) = y**3 + 16*y**2 + 57*y - 34. Let n be r(-10). Let d = 2.01 - 0.01. Which is the third smallest value? (a) n (b) d (c) 3 c Let t = 0.304 + -67.104. Let i = 67 + t. Which is the third smallest value? (a) 6 (b) 1/4 (c) 0.5 (d) i c Let z = 15 + -19. Let q = -13.5 + 9. Let x = q - -5. Which is the third smallest value? (a) z (b) 0.1 (c) x c Let c = 2317 + -2322. What is the second biggest value in c, -154, -0.4? c Suppose 2*t = 5*p + 1, 0 = -5*t - 3*p - 2 - 11. Which is the second smallest value? (a) 2/9 (b) 0.1 (c) 5 (d) t b Let o be 69/(-46) - (-4)/16. Which is the third smallest value? (a) o (b) 2 (c) -63 b Let w = 0.3 - 0.8. Let u = 854 - 7688/9. Which is the biggest value? (a) w (b) 0 (c) u b Let r = 0.11 - 4.11. Let d = -20.4 + 14.4. What is the fourth biggest value in 4, d, 5, r? d Let p be (-52)/(-14) - (-6)/21. Suppose 3*o = -x - x + 1, 0 = -p*o + 5*x - 37. What is the smallest value in o, -5/7, 3? o Let k be (45/(-6) + 4)/(3/(-6)). Which is the second biggest value? (a) k (b) 0 (c) 2/33 c Let g = 2.2 + -2. Let p = -4/7 + 26/21. Let v be -1 + (-3)/(-4 - (4 - 3)). What is the second smallest value in p, v, g? g Let h = 0.004 - -4.996. Let f = -0.53 + 0.33. Which is the biggest value? (a) h (b) 4 (c) f (d) 3 a Let b be (-2)/(-6)*0 - 0. Suppose 0 = 3*o + r + 31, 0 = -o - b*o + 5*r - 37. Let i be 16/(-126)*(-9)/o. What is the third biggest value in -1/10, -0.4, i? -0.4 Let j = 4 - 4.5. Let a = -2.5 - j. Let f = -7 + 7.3. What is the second smallest value in 1/4, a, f? 1/4 Let t = -19402/7 + 2782. Which is the biggest value? (a) -3/5 (b) t (c) 2 b Let l = -0.08 + -3.92. Let o = -87 - -86.8. Which is the second biggest value? (a) l (b) o (c) 7 (d) 0.1 d Let y = -0.08 + -0.02. Let j = -1.7 + y. Let k = -3.8 - j. Which is the third smallest value? (a) -3 (b) k (c) 6 c Suppose -4*i + 2*f = -64, -i = -6*i + 2*f + 79. Let y(q) = -4*q + 43. Let w be y
{ "pile_set_name": "DM Mathematics" }
= 5*g(u) + 2*v(u). Differentiate d(x) with respect to x. -4*x - 192 What is the third derivative of -675*m**2 + 5*m**6 + 3*m**6 - 701*m**2 + 2*m - 220*m**2 + 220*m**2 - 9*m**3 wrt m? 960*m**3 - 54 Let t(o) = 11*o + 19. Let g be t(7). Find the third derivative of -52*k**3 + 99 - 3*k**3 - 16*k**2 - g wrt k. -330 Let o(u) be the first derivative of 2418*u**5/5 + 2785*u**3/3 + 2633. Find the third derivative of o(i) wrt i. 58032*i What is the second derivative of 1231*q**2 + 1408 - 2*q**4 - 197*q**3 + 1211*q**2 + q - 2441*q**2 wrt q? -24*q**2 - 1182*q + 2 Let s(q) be the second derivative of 3*q**7/14 + 11*q**5/2 - q**3/2 - 373*q**2/2 + 1252*q. What is the second derivative of s(b) wrt b? 180*b**3 + 660*b Let r = 5845 - 922. What is the third derivative of r - 38*i**2 - 4921 - 72*i**2 + 137*i**4 wrt i? 3288*i Let v = -155 - -158. Find the third derivative of -34*r**3 + 50*r**4 - 41*r**2 - 22*r**2 + 34*r**v wrt r. 1200*r Let n = 205 - 203. Find the second derivative of 19*u + 36*u**2 - 98*u**2 + 39*u**2 + 34*u**n wrt u. 22 Let t(d) = -1757*d**3 - 414*d**2 + 7*d + 31. Let q(y) = -879*y**3 - 207*y**2 + 4*y + 18. Let p(l) = -7*q(l) + 4*t(l). Find the third derivative of p(g) wrt g. -5250 Find the first derivative of -705*w**2 + 349*w**2 + 369*w**2 - 1427 - 3004 - 31*w wrt w. 26*w - 31 Find the second derivative of 245 - 8*w - 2766*w**2 - 1972*w**2 - 42*w**2 wrt w. -9560 Let y be 18/21 - (-242)/77. Let u(i) be the second derivative of -y*i**2 - 5*i + 1/6*i**3 + 0. What is the derivative of u(q) wrt q? 1 Let i be 44/(-8)*(-2 - 4). Find the second derivative of 3*k**3 + i*k + 8*k**4 - 9*k**4 - 163*k + 2*k**4 wrt k. 12*k**2 + 18*k Let t(i) = 8*i**2 - 2*i - 50. Let h be t(10). Differentiate 397*s - h*s + 486*s + 198 with respect to s. 153 What is the derivative of -12*y**2 + 60*y**2 - 9*y + 3*y + 704 + 583 + 21*y**2 wrt y? 138*y - 6 Let j(v) = 1684*v**2 + 2473*v - 3. Let f(c) = -1684*c**2 - 2474*c + 4. Let k(y) = -3*f(y) - 4*j(y). What is the second derivative of k(g) wrt g? -3368 Let k(b) = -2832*b**2 - 472*b + 62. Let p(a) = -943*a**2 - 158*a + 20. Let l(f) = 2*k(f) - 7*p(f). What is the second derivative of l(m) wrt m? 1874 Let v be 5042/3 - ((-42)/18 - -2). What is the third derivative of 1681 + p**5 + 8*p**6 + 10*p + 3*p**2 + 61*p**6 - v wrt p? 8280*p**3 + 60*p**2 Let s(n) = -n**3 - 17*n**2 - 18*n - 30. Let m be s(-16). Let y be -1*-1*14/m. What is the second derivative of y*i**3 + 6*i**3 - 17*i - 34*i**3 + 46*i wrt i? -126*i Let x(g) be the third derivative of -206*g**5/5 + 695*g**4/24 + 2*g**2 + g + 1041. Find the second derivative of x(a) wrt a. -4944 Let c(n) = -n**2 + 11*n + 24. Let q be c(10). What is the derivative of q + 6*s**4 + 6*s**4 + 17 + 11*s**4 wrt s? 92*s**3 Suppose 4*a + 42 - 110 = 0. Suppose 4*r - 63 - a = 2*l, 5*r - l = 94. What is the derivative of -48*p**3 + 33*p**3 + 3 - r*p**3 wrt p? -99*p**2 Let s(z) = -2345*z**2 - 5135*z + 117. Let o(a) = 2346*a**2 + 5135*a - 104. Let g(l) = 9*o(l) + 8*s(l). What is the second derivative of g(p) wrt p? 4708 Let x(j) be the third derivative of -203*j**6/30 - 37*j**5/60 + 7*j**4/24 + j**3/3 + j**2 + j + 40. Find the third derivative of x(t) wrt t. -4872 Find the second derivative of -1445*i - 3949*i**2 - i**4 + 1838*i**2 + 2019*i**2 wrt i. -12*i**2 - 184 Let h(m) = 12 - 3*m**2 - 6*m - 1 + 4*m**2. Let d be h(7). What is the second derivative of 17*v**2 - d*v + 1 - 9 + 8 wrt v? 34 Let b(a) = a**3 + a**2 + 1. Let m(c) be the first derivative of -14*c**4 + c**3 + 6*c - 2. Let q(t) = -6*b(t) + m(t). Find the third derivative of q(y) wrt y. -372 Suppose -5*l = 7*u - 2*u - 90, 2*l = 4. What is the second derivative of -u*p + 1 - 32*p**4 + 182*p**4 + 12*p + 0 wrt p? 1800*p**2 Let z(v) be the second derivative of 9*v**4/2 - v**3 - 327*v**2/2 - 1756*v. Find the first derivative of z(k) wrt k. 108*k - 6 Let m(u) = 1191*u**2 + 4*u + 478. Let j(v) = 2384*v**2 + 10*v + 937. Let f(x) = 2*j(x) - 5*m(x). Find the first derivative of f(s) wrt s. -2374*s Let r(s) = 2*s**2 - 19*s + 26. Let k be r(8). Find the third derivative of -17*q**4 + 2*q**4 + 10*q**4 + 7*q**4 + 5*q**k wrt q. 48*q Let a(y) = 9 - 2*y**2 + y**2 - 63*y + 51*y. Let g be a(-12). Find the second derivative of -457*s**2 + 457*s**2 - g*s + 14*s**4 wrt s. 168*s**2 Let h(b) be the second derivative of 0*b**3 + 1/15*b**6 - 8/3*b**4 + 0*b**2 + 0*b**5 - 2 - 1/28*b**8 + 0*b**7 - 90*b. Find the third derivative of h(y) wrt y. -240*y**3 + 48*y Let w(m) be the third derivative of 0*m - 1/2*m**3 - 169/120*m**6 + 0 + 0*m**4 + 0*m**5 + 60*m**2. What is the first derivative of w(k) wrt k? -507*k**2 Let o(v) be the third derivative of v**7/30 - v**6/12 + 1237*v**4/24 - 2*v**2 - 11. Find the second derivative of o(g) wrt g. 84*g**2 - 60*g Let y(c) = 1040*c**5 - 3178*c**2 + 6*c + 6. Let w(l) = 2*l**5 + l**2 - 2*l - 2. Let m(a) = -3*w(a) - y(a). What is the third derivative of m(v) wrt v? -62760*v**2 Let l(s) = -s**5 + s**4 + s - 1. Let o(f) = -190*f**5 + 5*f**4 + 660*f**2 + 5*f - 5. Let d(w) = 5*l(w) - o(w). Find the third derivative of d(x) wrt x. 11100*x**2 Find the third derivative of 2562*o**6 + 8*o**2 + 4*o - 4*o - 1004*o**6 - 4 wrt o. 186960*o**3 Suppose i - 24 = 4*k, -3*i + 2*k + 132 = 5*k. Find the first derivative of -8*l + 8*l + 24*l**2 + i*l**2 + 71 wrt l. 128*l Let u(i) be the first derivative of 662*i**5 + 680*i**3/3 - 3*i + 2569. Find the third derivative of u(g) wrt g. 79440*g Let t(j) = 3*j - 11*j + 2*j - 13 + 11*j. Let k be t(3). What is the derivative of -6 + 17*u**4 - u**2 + u**k - 36*u**4 wrt u? -76*u**3 Find the second derivative of 1973*j - 412*j**4 - 1 + 62*j - 477*j + 2 - 686*j**4 wrt j. -13176*j**2 Let f(c) be the first derivative of -1315*c**4/4 + 1214*c**2 + 1976. What is the second derivative of f(r) wrt r? -7890*r Let q(p) be the first derivative of 1993*p**6/6 + 623*p**2 - p - 117. Find the second derivative of q(a) wrt a. 39860*a**3 Let w(o) be the first derivative of -837*o**5/5 + 940*o**3/3 + o**2/2 - 357. Find the third derivative of w(i) wrt i. -20088*i Let b(y) be the third derivative of -1/105*y**7 + 4*y + 0*y**4 - 19/15*y**6 + 0*y**5 + 24*y**2 + 0 - 122/3*y**3. Differentiate b(w) with respect to w. -8*w**3 - 456*w**2 What is the first derivative of -78*w - 2*w**4 + 0*w**4 - 14003 + 13885 wrt w? -8*w**3 - 78 Let p(r) be the first derivative of 1439*r**4/2 - 2*r**3/3 + 30*r**2 + 6*r + 2067. What is the third derivative of p(b) wrt b? 17268 Find the third derivative of -936*v - 17*v**2 + 295*v**5 + 1067*v**5 + 737*v + 1576*v**5 wrt v. 176280*v**2 Let s(n) be the second derivative of 0 - 19/12*n**4 - 5/56*n**8 + 0*n**7 + 0*n**2 + 0*n**6 + 0*n**5 + 10*n + 0*n**3. Find the third derivative of s(z) wrt z. -600*z**3 Let l(b) be the second derivative of -401*b**5/20 + 254*b**4/3 - 74*b. Find the third derivative of l(o) wrt o. -2406 Let g(n) = 1330*n - 1193. Let j(d) = -3988*d + 3564. Let k(o) = 17*g(o) + 6*j(o). What is the derivative of k(h) wrt h? -1318 Let s be (12 + (7 - (-488)/(-32)))/(1/4). Let q(h) be the second derivative of s*h + 0*h**3 - 10*h**2 + 0 - 7/6*h**4. Find the first derivative of q(u) wrt u. -28*u Suppose -3*x + 543 = 129. Let h = x + -134. What is the third derivative of 9*y**4 + 9*y + y**2 + 3*y**4 + 9*y**4 - h*y wrt y? 504*y Let c(s) = 2*s**2 + 25*s - 25. Let b be c(1). Find the third derivative of -2 + 24*d**2 + 91*d**3 + 105*d**3 - 289*d**3 + 3*d**b wrt d. -558 What is the second derivative of 33*d**4 - 22*d**4 - 25623*d + 75*d**4 + 24173*d wrt d? 1032*d**2 Suppose -x + 2*u = 2*x + 55, 2*u = -3*x - 47. Let o = 27 + x. Find the third derivative of -6*g**2 - 7*g**5 - 5*g**5 + o*g**5 wrt g. -120*g**2 Let r be ((-6)/(-40))/(27/135). Let y(t) be the second derivative of 0*t**3 + r*t**5 + 8*t + 0 - 1/4*t**4 + 0*t**2. Find the third derivative of y(n) wrt n. 90 What is the derivative of 4*n + 19*n + 11*n - 35*n - 1753 + 694 + 8560*n**2 wrt n? 17120*n - 1 Let t(o) = 818*o**3 - 818*o**3 + 17*o**4 + 4 + o**2 + 13*o. Let x(d) = -d**4 + d**2 + 2. Let b(q) = t(q) - 2*x(q). What is the third derivative of b(k) wrt k? 456*k What is the third derivative of 1522*w**2 + 1852*w**2 - 2*w**3 - 122*w**4 + 29*w**4 - 2 - 359*w**2 - 2591*w**4 wrt w? -64416*w - 12 Suppose -4*s = -3*i + 7, 2*i - s - 5 - 3 = 0. Suppose -2*r + i*m = -1
{ "pile_set_name": "DM Mathematics" }
*q**2 + 1. Give -5*c(l) + 2*y(l). l**3 - 126*l**2 - 1 Let m(n) = -204*n**2 - 187*n - 10. Let y(t) = -306*t**2 - 276*t - 14. Give -7*m(a) + 5*y(a). -102*a**2 - 71*a Let w(t) = 26*t**3 + 8*t**2 - 6*t. Suppose 24 = 2*q + 3*l, 13*l = 8*l + 20. Let n(u) = -77*u**3 - 23*u**2 + 17*u. What is q*n(b) + 17*w(b)? -20*b**3 - 2*b**2 Let i(q) = -163*q**2 - 92*q**2 + 269*q**2 + 2. Let x(p) = 14*p**2 + 3. Calculate 3*i(n) - 2*x(n). 14*n**2 Let k(s) = 799*s**2 - 85*s - 85. Let g(o) be the second derivative of -19*o**4/12 + o**3/3 + o**2 - 1515*o. What is 85*g(b) + 2*k(b)? -17*b**2 Let x(a) = 76*a**3 - 526*a**2 + 10*a + 20. Let k(h) = 49*h**3 - 351*h**2 + 7*h + 14. What is 10*k(s) - 7*x(s)? -42*s**3 + 172*s**2 Let h(l) = -l**2. Let u(n) = -5*n**3 + n**2. Suppose 0 = 5*c - 4*k + 18, -2*k = -5*k + 6. Calculate c*h(y) - 2*u(y). 10*y**3 Let j(y) = y**2 - 8*y + 174. Let g(d) = 2*d**2 - 13*d + 347. Determine -4*g(n) + 7*j(n). -n**2 - 4*n - 170 Let a(r) = 6*r + 1. Let z be (-2)/8 - (143/(-44) + 1). Let n(x) = 29*x - z*x - 6*x + 1 - 8*x - 8*x. Suppose -3*b - 21 = -0*b. Give b*n(c) + 6*a(c). c - 1 Let j(w) = 19*w - 739. Let h(y) = -7*y + 371. Determine -10*h(d) - 4*j(d). -6*d - 754 Let h(k) = k - 1. Suppose 41*x - 84 = 55*x. Let m(v) = v. Determine x*m(f) + 5*h(f). -f - 5 Let t(d) = 3*d - d - 13*d + 3*d. Let l(a) = 21*a - 30*a + 4 - 4. Suppose 0*q = k - 3*q - 9, 0 = -5*k - 2*q - 40. Determine k*t(c) + 5*l(c). 3*c Let u(c) = -55*c**3 + 5*c**2 - 5. Let y(s) = -82*s**3 + 7*s**2 - 7. Let a = -12666 - -12673. Determine a*u(l) - 5*y(l). 25*l**3 Let p(i) = -3*i**2 + 3*i + 3. Let g be 6/(-8)*(1 - 121/33). Let o(m) = -39*m - 39*m - 40*m + 107*m + 12*m**g - 11. Calculate -6*o(x) - 22*p(x). -6*x**2 Let a = -72731 + 72732. Suppose -2*w = 2 - 0. Let c(i) = -2*i**2 - i. Let q(k) = -k**2. Calculate a*c(v) + w*q(v). -v**2 - v Let r(f) = -f - 3. Suppose -4*a = -a - 96. Suppose 3*z - 7*z = -a. Let d(j) = -3*j + 13 + 9 - 31. What is z*r(b) - 3*d(b)? b + 3 Let b(x) = 199*x**2 + 7*x + 4. Let c(t) = -t**2 - 2*t - 2. Determine b(m) + c(m). 198*m**2 + 5*m + 2 Let h(w) = w**2 - 86*w - 354. Let z be h(90). Let s(b) = 8*b + 8. Let c(u) be the first derivative of -9/2*u**2 - 9*u - 4. What is z*c(y) + 7*s(y)? 2*y + 2 Let f(t) be the second derivative of -t**5/20 + t**3/6 + 5*t**2/2 - 666*t. Let w(d) = -d - 2*d + 2*d**3 + 4*d - 9 - 2*d. Determine 5*f(a) + 3*w(a). a**3 + 2*a - 2 Let i be 2 - 36/15 - (-20414)/10. Let j(d) = -2044 + 4082 - i. Let x(l) = 8 + 2*l - l + 7. What is -11*j(w) - 2*x(w)? -2*w + 3 Let z(g) = -1904*g**3 + 224*g**2. Let l(y) = 2*y**3 - 2*y**2. Give -112*l(h) - z(h). 1680*h**3 Let v(i) = 4*i - 3. Suppose 3*c + 17 = -10. Let m(f) = f**2 + 10*f + 13. Let q be m(c). Let u(b) = -2*b + 7*b + 3*b - q - 3*b. Give -2*u(n) + 3*v(n). 2*n - 1 Suppose 2*g - 1 - 11 = 0. Let b(a) = g + 22*a - 13*a - 29*a. Let m(c) = -16*c**2 + 5*c. Let o be m(1). Let d(u) = -4*u + 1. Determine o*d(h) + 2*b(h). 4*h + 1 Let v(o) = -3*o - 13. Suppose 21*y + 18 = 24*y. Let x(r) = -y*r - 6 - 12 + 4*r + 6. Determine -4*v(t) + 5*x(t). 2*t - 8 Let k(c) = -c - 1. Let w(o) = 63*o. Let h = -12399 + 12400. Calculate h*w(r) + k(r). 62*r - 1 Let w(k) = 256*k + 23. Let l(b) = -509*b - 57. Calculate -2*l(h) - 5*w(h). -262*h - 1 Let t(l) = 63*l - 5. Let n(s) = 108*s - 9. Determine 3*n(y) - 5*t(y). 9*y - 2 Let s(b) = -298*b**3 - 3*b**2 + 2*b - 3. Let a(c) = 897*c**3 + 8*c**2 - 5*c + 8. Give -3*a(o) - 8*s(o). -307*o**3 - o Let y(z) = 10*z**3 + 52*z + 5. Let h(x) = -21*x**3 - 104*x - 12. Calculate -3*h(m) - 7*y(m). -7*m**3 - 52*m + 1 Let q(t) = 86*t + 2. Let k(f) = 87*f + 2. What is 6*k(z) - 4*q(z)? 178*z + 4 Let v(t) = -t. Suppose 584*h - 540*h = -44. Let x(k) = -8*k + 5. Give h*x(p) + 6*v(p). 2*p - 5 Let w(z) be the first derivative of -z**2/2 - 2206. Let q(d) = -4*d - 10. Give q(j) - 5*w(j). j - 10 Let o(b) = b - 222 - 219 - 5*b + 660 - 221. Let g(k) = -5*k - 3. Let u = -10 - -7. Determine u*g(d) + 4*o(d). -d + 1 Let q(p) = -2*p**2 + 2. Let w(v) = 311*v**3 + 6*v**2 + v - 7. Calculate -3*q(h) - w(h). -311*h**3 - h + 1 Let q(l) = -l**3 + l**2 - l. Let d = 12 + -10. Let z(c) = -2 - 6*c**3 + 0 - 2*c + 4*c**d - 3*c + 2*c**2. Let k be (2/(-3))/((-16)/(-24)). Give k*z(g) + 5*q(g). g**3 - g**2 + 2 Let a be 66/(-77)*(4 + 15/(-2)). Let z(i) = 6*i**2 + 5 + i**2 - a*i**2 - 11*i - 11*i**2. Let w(y) = 4*y**2 + 5*y - 3. Determine 5*w(o) + 3*z(o). -o**2 - 8*o Let h(p) = 3*p**2 + 3*p - 13. Let n(q) = q**2 + q - 4. Suppose -4*k + 3*s + 5 = 0, -5*s - 84 = 2*k - 41. What is k*h(f) + 14*n(f)? 2*f**2 + 2*f - 4 Let u(k) = -3*k**2 + 155*k - 41. Let n(t) = -7*t**2 + 309*t - 93. Give 4*n(y) - 9*u(y). -y**2 - 159*y - 3 Suppose 315*f = 217*f + 294. Let s(p) = 2*p - 5 + 3 - 2*p + p. Let q(m) = -m**2 - 2. Give f*q(n) - 2*s(n). -3*n**2 - 2*n - 2 Let r = 4 + -1. Let a(h) = 4*h**2 - h**3 - 7*h**2 + 2*h**3 + r. Let i(d) = -47 + 24 + d**2 + 22. Determine -2*a(l) - 6*i(l). -2*l**3 Let y(j) = -1563*j - 10. Let k(w) = -1564*w - 12. Calculate -5*k(s) + 6*y(s). -1558*s Let f(s) = -20*s**3 - 24*s**2 - 5*s - 3. Let o(t) = 61*t**3 + 66*t**2 + 14*t + 8. Determine -11*f(j) - 4*o(j). -24*j**3 - j + 1 Let c(z) = z**3 - z**2 + z + 1. Let k be 16/7 + 16/(-56). Let u be (-32)/(-64) + k/4. Let d(i) = -i**3 - 2*i**2 + 2*i + 1. Calculate u*c(o) - d(o). 2*o**3 + o**2 - o Let f(a) = -19*a - 5. Let x(d) = -d - 37. Let u(o) = -o - 46. Let n(g) = -4*u(g) + 5*x(g). Determine f(p) - 6*n(p). -13*p + 1 Suppose 4*k = -24 + 8. Let t(s) = -3*s**2 - 28*s - 57. Let l be t(k). Let o(q) = -8*q. Let v(r) = 15*r. Determine l*o(x) + 3*v(x). -11*x Suppose -4*w + 9*w = -3*z + 145, -2*z - 4*w = -98. Let r(a) = -9*a**2. Let j(t) = 3*t + 2*t - 5*t + 99*t**2. Calculate z*r(v) + 4*j(v). -9*v**2 Let b(l) = -2*l**3 + 4*l**2 + 19*l - 43. Let o be b(3). Let n(u) = u**3 + u + 1. Let d(x) = 4*x**2 + 2*x + 4. Determine o*n(c) + d(c). -4*c**3 + 4*c**2 - 2*c Let f(a) = 195 + 21*a - 11*a - 13*a + 6*a**2 - 199. Let q(n) = 5*n**2 - 3*n - 3. Calculate -3*f(r) + 4*q(r). 2*r**2 - 3*r Let h(k) = -k**2 - 7*k - 1. Let q(t) = -78*t**3 - 2*t**2 - 6*t + 1. Give h(j) - q(j). 78*j**3 + j**2 - j - 2 Let f(p) = -13*p. Let b(z) = -z**3 - 12*z**2 + 32*z + 54. Let o = -663 + 649. Let s be b(o). Let d(u) = 40*u - 1. What is s*d(g) - 7*f(g)? 11*g + 2 Let u(f) = -1745*f + 4. Let o(h) = 109938*h - 251. Determine -4*o(n) - 251*u(n). -1757*n Suppose 5*c - 4*c - 43 = 0. Let b(h) be the first derivative of -4*h + 8*h - c - h - 3*h**2 + 9. Let a(l) = 7*l - 4. Give 3*a(o) + 4*b(o). -3*o Let k(z) = 5*z**2 + 384*z + 18. Let r(u) = 3*u**2 + 191*u + 10. What is 4*k(a) - 7*r(a)? -a**2 + 199*a + 2 Let h be -3 - 488/(-168) - (-145)/(-21). Let x(f) = 3*f. Let a(i) = 3 + 4 - 6*i - 8. Determine h*x(b) - 3*a(b). -3*b + 3 Let c(n) = -366*n**3 + 4*n**2 + 3*n - 15. Let t(p) = 2*p**2 + p - 5. Calculate -c(b) + 3*t(b). 366*b**3 + 2*b**2 Let n(l) = 3*l**3 - 3*l - 4. Suppose -a = 16*a - 34. Let w(d) = -117*d - 13*d**3 + 17 + 3*d**a - 3*d**2 + 130*d. Give 9*n(b) + 2*w(b). b**3 - b - 2 Let j(s) = 13*s**2 - 6*s. Suppose 52 = 14*n + 12*n. Let o(y) = 0*y + 11*y + 20*y**n - 58*y**2 + 6*y. Calculate 17*j(k) + 6*o(k). -7*k**2 Let z(t) = -2*t**2 - 7*t - 12. Let v(c) = c**2 + c. Let a(s) = -67*s - 3684. Let l be a(-55). What is l*z(r) + 4*v(r)? 2*r**2 - 3*r - 12 Let a(k) = -17*k**2 - 35 + 12*k**2 + 18 + 10 + 16. Let r(s) = -2*s**2 + 5. Give -3*a(f) + 5*r(f). 5*f**2 - 2 Let a(g) = 6*g**2 - 4 - 2*g + 3*g**2 + 0. Let y(v) = 19*v**2 - 5*v - 9. Suppose 595*l = 584*l + 44. Give l*y(x) - 9*a(x). -5*x**2 - 2*x Let q(n) = -5827*n**2 - 4*n - 24. Let c(i) = -926492*i**2 - 637*i - 3822. What is 4*c(v) - 637*q(v)? 5831*v**2 Let p(s) = -113*s**2 - 47*s - 50. Let v(w) = -57*w**2 - 25*w - 29. Let j(t) = -3*p(t) + 5*v(t). Let f(h) = 11*h**2 + 3*h + 1. Give 11*f(q) - 2*j(q). 13*q**2 + q + 1 Let v(y) = -8*y**3 - 5*y**2 - 5*y - 473. Let b(w) = 2*w**3 + w**2 + w - 1. What is 5*b(l) + v(l)? 2*l**3 - 478 Suppose -30 = -3*u - 3*x, 9*u + 8*x - 15 = 14*u. Let z(t) = 18*t**3 + 5*t**2 + 5*t + 5. Let n(y) = -9*y**3 - 2*y**2 - 2*y - 2. Give u*n(l) + 2*z(l). -9*l**3 Let p(t) = 56*t**2 + 511*t + 231. Let r(d) = 15*d**2 + 128*d + 63. Give -6*p(s) + 22*r(s). -6*s**2 - 250*s Let m(v) = -v**3 - 7*v**2 + 1. Let q(y) = -2*y**3 - 28*y**2 + 683. Calculate 4*m(u) - q(u). -2*u**3 - 679 Let g(q) = -52*q + 9
{ "pile_set_name": "DM Mathematics" }
ue Let m(b) = -72*b + 2. Let z be m(-2). Suppose 3*j = -2*y - 40 + z, 5*j - 140 = 4*y. Does 8 divide j? True Suppose -5*l - 6*w + 15 = -w, l + 5*w = -1. Is (-80)/15*(-177)/l a multiple of 31? False Suppose 1861*c = 1860*c + 1221. Is 11 a factor of c? True Suppose 20*k = 23*k - 6090. Does 29 divide k? True Suppose 2*c - 38 = -34. Suppose 3*q - 57 = -c*l, 10*q - 2*l - 111 = 5*q. Is q a multiple of 21? True Let o be (-2 + 2)*(-5)/(-15). Let m be o/((-12)/(-4) + -5). Suppose m = -3*t - 12, 2*l + t = 11 + 61. Is 9 a factor of l? False Let q = 2521 + -1198. Is q a multiple of 27? True Suppose 2*x - 1590 = -260. Is 62 a factor of x? False Let g be 84/9*6/4. Let b(c) = 4 + 13*c**2 - 4*c - g*c**2 + 16*c. Does 14 divide b(11)? False Let o(i) = -i**2 + 16*i + 184. Does 12 divide o(0)? False Let d(x) = -2*x**3 - x**2 - x. Let o be d(-1). Suppose -3*a - o*a = -540. Is 27 a factor of a? True Let n = -12 + 17. Let q(w) = 3*w - 11. Let s be q(n). Suppose 0 = -4*l - s*t + 56, 4*l - 3*t - 46 - 10 = 0. Is 14 a factor of l? True Suppose 2281 = 14*w - 1835. Does 7 divide w? True Suppose 0 = 3*b - 1005 - 258. Does 11 divide b? False Let o(g) = -3*g + 5. Let y be o(2). Is (-1 + (-4 + -1 - y))*-1 even? False Suppose -z - 6 = 1. Let y(l) = -14*l + 16. Let x be y(z). Suppose 4*n - x = -2. Is 14 a factor of n? True Suppose 0*o + 3*o = -5*x + 3, -12 = 3*o. Suppose -6*v + 6 = -x*v. Suppose -242 = -5*p + v*y - 5*y, -p = 3*y - 58. Is 7 a factor of p? False Let r be (-112)/(1*(2 + -1)). Does 16 divide (r/(-6) - 0) + 23/69? False Let p = 546 + -482. Does 16 divide p? True Let o(q) = -299*q**3 + 2*q**2 + q. Let b be o(-1). Suppose -5*g = 5*r - 1410, -g + b = 2*r + 21. Suppose 5*s = -0*s + g. Is s a multiple of 14? False Let v be ((-15)/6)/(4*(-4)/96). Let k = -3 - -2. Let l = k + v. Is l a multiple of 5? False Suppose 2*t + 2*j - 5 - 21 = 0, -2*t + 32 = -j. Suppose -4*i + 4*d + 31 = d, 3 = 2*i + d. Suppose u - i*u = -t. Does 4 divide u? False Is 20/((-12 - -17) + 48/(-10)) a multiple of 10? True Let i(n) = n**2 + 17*n - 66. Does 8 divide i(6)? True Is 6 a factor of 3/9 + 368/24*14? False Let j = 667 + -167. Does 21 divide j? False Let b be (16 + -15)/(1/(-5)*-1). Suppose -c + 4 = 8, -b*g + 180 = 5*c. Is g a multiple of 6? False Let l(g) = -169*g**3 - 6 + 5*g - 2*g**2 + 0 + 4*g + 1. Let t(k) = -84*k**3 - k**2 + 5*k - 3. Let h(f) = 4*l(f) - 7*t(f). Is 22 a factor of h(-1)? False Let g(s) = 6*s**2 + 21*s + 73. Does 17 divide g(-8)? True Let s(w) = w + 43. Suppose -2*a - o = 7 + 35, 2*o = 5*a + 87. Does 3 divide s(a)? True Suppose 508 = 36*b - 5000. Is b a multiple of 10? False Let k(t) = -2*t**2 - 3*t. Let f be k(-3). Let w be (-43)/f + 4/18. Suppose -4*b - 2 + 301 = w*z, 2*z - 2*b = 116. Is z a multiple of 29? False Let w(s) = -3*s**3 + 2*s**2 - 1. Let q be w(-1). Suppose -2*c + 124 = 2*m, q*m - c = m + 194. Is 5 a factor of m? False Let i(l) = 3*l**2 - 3. Suppose 7*z = 3*z + 8. Is 9 a factor of i(z)? True Is 22 a factor of (10/4)/((10/(-176))/(-5))? True Let s(l) = -10*l + 5. Let j be s(5). Let z be (-20)/(-14) - j/(-105). Does 7 divide z/((-4)/(-6))*14? True Suppose -2*b = -4*b + 4. Suppose 3 = -3*p, 4*k + b*p + 0*p = 266. Does 20 divide k? False Let x(l) = l**3 + l**2 + l + 1. Suppose -4*z - t + 100 = -5*t, -5*t + 51 = 3*z. Suppose 0 = -4*h - 2*y + z, h + 9*y = 4*y + 19. Is x(h) a multiple of 20? False Suppose 5*o = 4*q + 1957, 5*q - 1194 = -3*o - 42. Does 21 divide o? False Suppose 20*l - 48487 - 13553 = 0. Is 91 a factor of l? False Let v = -20 - -40. Let d = -17 + v. Suppose -q = -23 + d. Does 4 divide q? True Let r = -47 + 26. Let i = 21 - r. Is i a multiple of 14? True Suppose 4*m = 2*k - 14, 3*k + 3*m - 1 = 2. Does 13 divide (-1)/((-1)/(-6))*(-25 - k)? False Let z = 1316 - 1216. Suppose -2*l + 6 = 4*n - 0, 3*n - 18 = 3*l. Suppose f - n*f = -z. Is 20 a factor of f? False Suppose -5*d = 4*n - 123, -6*n = 3*d - n - 79. Let z = 40 + d. Let s = z + -23. Does 10 divide s? True Let z = -28 - -32. Suppose p = -p + 2*m + 4, -z*m + 16 = 0. Is p a multiple of 2? True Let q(r) = -2*r**3 + r**2 + 4*r - 8. Does 17 divide q(-4)? False Let d(j) = -5*j + 10. Let f(y) = y**2 - 5*y. Let h be f(4). Let s(c) = 1. Let n(p) = h*s(p) - d(p). Is n(4) even? True Suppose 5*w - 20 = -0*w. Suppose -4*u = -4*k - 45 - 3, w*u - 6 = -2*k. Let l(x) = -x**3 - 8*x**2 - 8*x + 5. Does 4 divide l(k)? True Let w = 1768 + -532. Is 12 a factor of w? True Let x = -61 - -66. Suppose -5*i = 2*u - 973, -x*i - u + 4*u + 978 = 0. Is 39 a factor of i? True Suppose 13*r - 51891 = -15361. Is r a multiple of 46? False Let l = 66 + -62. Suppose 0 = 2*y - 6*y + j + 953, -l*y + 4*j + 956 = 0. Does 56 divide y? False Let u = 0 + 0. Suppose -3*o + 4*o - 6 = u. Suppose 3*m = h - 5*h + o, 24 = 3*m - 2*h. Is m a multiple of 3? True Let q(x) = -x**3 + 9*x**2 + 17*x - 12. Let r(f) = 3*f**2 - 7*f + 11. Let y be r(2). Does 42 divide q(y)? False Suppose 5*h - 707 = -3*t + 919, 0 = -4*h - t + 1298. Is 24 a factor of h? False Let s(y) = -y**3 - 6*y**2 + 8*y - 19. Let t be s(-8). Does 11 divide (-476)/(-10) - (-3)/(t/6)? False Let w = 126 + 43. Is 3 a factor of w? False Suppose 0 = -3*j - 9, -j - 3 = -3*s + 6. Suppose -4*w + s*v - 3*v + 237 = 0, 0 = 2*w - 4*v - 114. Is 14 a factor of w? False Suppose -14*t = -13*t. Suppose -w + 2 = -t*w. Is w a multiple of 2? True Let m(w) = -w + 8. Let d be 6 + (3 - (3 + 0)). Let t be m(d). Does 2 divide 4/t - 3*-1? False Suppose 2*x = -0*x - 300. Let u = x - -238. Does 11 divide u? True Let k = -987 - -996. Is k even? False Suppose 3*f - 5*w = 11, -4*f + 3*w + 27 = 5. Suppose -2*o = 1 + f. Let h(k) = k**3 + 6*k**2 + 4*k - 4. Is 12 a factor of h(o)? True Suppose 0 = -o - 2*j - 14 + 1, j = 2*o + 1. Is 5 a factor of (-50)/((-2)/(-1) + o)? True Let g(i) be the second derivative of -i**4/12 + 7*i**2 + i. Is 11 a factor of g(0)? False Let v(t) = -t**2 - 4*t + 6. Let a be v(-8). Let f = 27 + a. Does 6 divide f + 8/(-2) + 27? True Is 53 a factor of (-6348)/(-15) - (-124)/155? True Let i = 65 - 54. Suppose -249 = -2*p + v, 3*v + 2 - i = 0. Is 14 a factor of p? True Let g(h) be the second derivative of -9*h**5/20 - 5*h**2/2 + 14*h. Is 17 a factor of g(-3)? True Suppose 1680 = 674*h - 667*h. Does 8 divide h? True Let y = -116 + 181. Let o = y - 50. Does 4 divide o? False Let b be 14/(-3)*18/(-6). Let c be 2/(-7) - (-32)/b. Suppose 3*z - 3*p = 33, -3*p + 2*p = -c*z + 19. Is z a multiple of 4? True Let r be 2152/(-10) - (-56)/(-70). Let h = 408 + r. Does 15 divide h? False Let w = -15 - -20. Suppose 2*o - 308 = -w*o. Does 11 divide o? True Suppose -4*b + 2 = 18. Let k be (b/(-5))/(4/10). Suppose -k*x = -2*p + 192, -3*x + 7*x = 0. Is 20 a factor of p? False Suppose -3*w = -4*k - 6 - 1, 17 = 5*w - 4*k. Suppose -3*x - 3*g + 195 = 0, 0*g - g = -w*x + 319. Is x a multiple of 12? False Suppose -h - 4*j - 17 = 0, -j = -2*h - 2*j - 62. Let m be (-1)/2 + (-780)/8. Let s = h - m. Is 17 a factor of s? False Let o(f) = 2*f**2 + 11*f - 2. Let c be o(-5). Let m = -1 - c. Suppose 0 = -s - 3 + m. Does 3 divide s? True Let l(f) = 4*f**2 + 2*f - 7. Let u(q) = -5*q**2 - 2*q + 7. Let b(j) = -2*l(j) - 3*u(j). Let h be b(6). Let t = 364 - h. Is 35 a factor of t? False Let h = 16 + -15. Is 15 a factor of h/((-980)/328 + 3)? False Let s be (-1 + 0)/(4/(-16)). Let l(z) = -z**3 + 4*z**2 + 2*z - 5. Let r be l(s). Does 13 divide r + (-1)/(1/(-24))? False Suppose 3*w - 5*w - 3*q = -2740, 1367 = w + 3*q. Is w a multiple of 46? False Let f(q) = 5*q + 43. Is f(28) a multiple of 38? False Let q = -918 - -594. Let z = -168 - q. Does 15 divide z? False Suppose 370 = 3*t + 2*o, 0 = 2*t - o - o - 230. Let f = -27 + t. Is 13 a factor of f? False Suppose -23*x - a + 126 = -21*x, 266 = 4*x - 5*a. Does 13 divide x? False Let r(k) = k**3 + k**2 + 3*k + 173. Let t be r(0). Suppose 5*a - t = -153. Does 2 divide a? True Suppose 2*r - 4*z + 114 = 0, -3*r - z = -2*r + 66. Is ((-188)/6)/(14/r) a multiple of 22? False Let o(u) = -4*u - 68. Let l be o(-18). Let m(c) = 2*c**3 + 6*c**2 - 3*c - 3. Does 11 divide m(l)? True Suppose -10472 = -292*c + 270*c. Is c a multiple of 3? False Let m(b) = 2*b + 2. Let g be m(4). Let n(f) = 4*f - 3 + 6 - g. Is 11 a factor of n(11)? False Suppose 2 = 2*a, -5*y + 3*a - 4 = -a. Suppose y*v = 4*v - 84. Is 7 a factor of v? True
{ "pile_set_name": "DM Mathematics" }
/4 -8 Calculate (-2*2/24)/(243/12393). -17/2 What is the value of (-29 - -27)*(-15)/((-210)/(-133))? 19 (630/(-245))/((-4)/7) + 14/(-7) 5/2 What is (48/(-676))/(114/(-741))? 6/13 What is 3120/2275 - (4 + (-99)/45)? -3/7 Evaluate 34*40/120*-3. -34 What is the value of ((-47)/(-94))/(3/72)? 12 What is the value of (((-22)/16)/11)/(11/(440/(-3)))? 5/3 Calculate ((-16)/28)/((-33)/(-231)) - 18. -22 What is the value of (8 - 3)/(-9 + (-452)/(-48)) + 2? 14 Calculate 162/(-216)*(-8)/18. 1/3 Calculate ((-25)/15)/(4*(-8)/32). 5/3 What is (156/182 + (-108)/(-70))/(1 - 3)? -6/5 Calculate (-11 - (-3 - 3))*(-2 + (-39)/(-15)). -3 ((-762)/(-635))/(9/45 + (-13)/(-5)) 3/7 (-21 + 610/30)*(-18)/(-4) -3 Evaluate (2/(-10))/(((-16)/(-70))/((-6)/14)). 3/8 Calculate (-140)/(-175)*(3 - (-404)/(-88)). -14/11 What is the value of (28 + -23 - -1)/(-42)? -1/7 Evaluate (2 - 473/385) + 8/(-14). 1/5 What is the value of ((-264)/(-27))/1 + (-70)/(-315)? 10 What is the value of (-108)/96 - (15/(-5))/24? -1 What is ((20/5)/(-56))/(-3 + 74/24)? -6/7 What is 2/11 - ((-651)/231 + -11)? 14 Evaluate 12 + 40/360*-207. -11 What is the value of (-66)/(-9) + (20/150 - (-16)/30)? 8 Calculate (-9)/(-18)*(9 - 2/(-6)*3). 5 Calculate (-33)/(-308)*(-259)/111*148. -37 Evaluate 11 + (-1 + -2 - (-39 + 30)). 17 Calculate (147/(-28) - -5)*88/(0 - -2). -11 30/9*1548/430 12 Calculate (378/(-148) + 28/518)/((-5)/4). 2 What is the value of 2070/(-184) - (1*1/2)/(-2)? -11 Calculate (-6)/75 + (-55514)/(-2050). 27 0 - 16/40 - (114/(-10) - -3) 8 What is 3*(-2)/6*10/40? -1/4 Evaluate (-5208)/(-558) - 20/2. -2/3 Calculate 12/(-165)*3705/1482. -2/11 What is the value of ((-12)/18)/(128/1680*5/4)? -7 What is the value of ((-147)/(-69) + -2)/(-17 - (-31)/2)? -2/23 Calculate 4398/(-3665) - (-1)/5*26. 4 What is the value of ((-56)/21)/8*27? -9 (((-9)/48)/(3 - 216/96))/3 -1/12 What is the value of (-7 + 0 - 8) + 16? 1 (-4 - 0)*(-1 - (-2)/4) - 4 -2 What is the value of (-14)/(-119) + (-6144)/204? -30 What is the value of 20/2 - (-35)/77*-11 - 7? -2 (-5522)/1694*-7 - 23 -2/11 What is -13 - ((-20855)/860 - 13/(-1))? -7/4 Evaluate (-5670)/(-756) + (189/(-22) - -1). -1/11 What is the value of (-10)/350*-5*35? 5 Calculate (-82500)/(-10500) + (18/4)/(2/(-4)). -8/7 Calculate (-4151)/(-5930)*(2/(-7) + 0)*-2. 2/5 Calculate (-2)/(-4) - (385/(-50) - (-96)/16). 11/5 Evaluate (4/26 - (-34)/(-52)) + (2 - 1). 1/2 What is the value of (476 - 484)*((-8)/20 + 9/10)? -4 Calculate 5/(210/(-12)) - (172/84 - 2). -1/3 What is the value of (-1 + 5)/((-822)/(-1233))? 6 What is (-26)/(-8) - 992/256? -5/8 What is the value of (-658)/288 - 565/(-9040)? -20/9 What is the value of (0 + 1)/(((-387)/258)/(1*21))? -14 Calculate (4/(-1140))/(191/(-5730)). 2/19 -4*(-12)/16 - (-4 - -1) 6 Calculate (-4)/(-5) + 29/((-10730)/(-9324)). 26 Evaluate ((-5)/(-6))/(7/(-70)*25). -1/3 Evaluate -12*(-6)/(-192)*64/(-12). 2 What is (2/(-80))/(26/65*-1)? 1/16 Calculate (-760)/1428 + (-15 - (-1635)/105). 2/51 What is (1 - (14 + -2)) + 19? 8 What is the value of (-24)/(-88) + (-834)/396 - (-1 - 3)? 13/6 What is the value of 5 + -9*9/(162/24)? -7 What is ((28/(-60))/7)/((-175)/42 + 5)? -2/25 What is (37/4 - -2) + (17 - 12)/(-20)? 11 Calculate 57*(970/(-450) - -2) - 4/30. -9 Evaluate (-78)/104*(-7)/21. 1/4 (-1 - 825/(-945)) + 8/14 4/9 What is the value of 2/14 - -18*(-1302)/238140? 2/45 What is (25 - 22)*7/(-21)*(-2)/(-32)? -1/16 -6 + (-362)/(-78) - 30/(-18) 4/13 (-44)/420 - (-9)/45 2/21 What is -1*(-2 + 0 + -7 + (-15 - -33))? -9 (0 - 4/(-3))/(116/(-1305)) -15 Evaluate 11/(44/24)*-1 - (115 + -112). -9 Evaluate (16 + -18 - 7) + (13 - 1). 3 -2*(-1)/(-10) + (19 - 3224/155) -2 (-1)/(-2)*2 + 119/(-136) 1/8 (-48)/(-10) + 1035/(-225)*(-7)/161 5 What is the value of (-26)/65 - (11 + 214/(-10))? 10 What is (-4)/30 - ((-4084)/(-420) + 110/(-11))? 1/7 What is 5*1 + (-40 - -38) + 1? 4 Calculate ((-23)/4)/((-269)/(-1076)). -23 Calculate (216/(-132))/3 + (-65)/(-220) + 3. 11/4 ((-1)/20)/((1050/(-48))/(-25)) -2/35 Evaluate 1744/(-92) - (-8 + -11). 1/23 What is the value of ((-8)/68)/(75/(-2550))? 4 What is the value of (-3)/(9/77)*16344/(-19068)? 22 What is the value of ((-16077)/(-207) - 77)/(((-38)/9)/1)? -3/19 (-18)/(-27)*-2*-3 - (-4)/(-7) 24/7 Calculate (11333/665 - 17)*10/(-4). -2/19 129/12 - (-29 + 40) -1/4 What is the value of 336/140*5/2? 6 What is the value of 116/(-10) - (14 + -28)? 12/5 What is 9828/(-910) - (-12 - 0)? 6/5 Calculate (23/4)/(45/4860*-27). -23 (24/1 - (42/(-3) - -23))*1 15 ((-13)/52*(-9 - -6))/((-75)/(-340)) 17/5 Calculate -59 - 9979/(-170) - (-69)/130. 3/13 Evaluate (-438)/(-73)*5/(-120)*-4*-22. -22 Calculate 2*(32 + -30) + -1*2*-1. 6 What is the value of 288/64*((-10)/60)/((-3)/(-6))? -3/2 Calculate (-924)/(-84) + 86/(-8) + 2. 9/4 What is 459/663*13*(-1)/(-12)? 3/4 Calculate (-71642)/(-4520) - (-9)/60. 16 ((-777)/56 + 14)*24 3 15*(50/(-5) + (-151)/(-15)) 1 What is the value of 14/5 - (-86 - (-40010)/450)? -1/9 What is (-22)/(-12)*((-146)/220 - 180/(-225))? 1/4 What is the value of 4 + 10*(-1008)/2415? -4/23 What is (-31 - (-9146)/357) + (-1)/(-21)? -16/3 Calculate (33/((-3)/(-28) + 156/(-182)))/(-4). 11 Calculate (-2)/((-24)/(-42)) + (-660)/(-40). 13 Calculate 6/(-27) - (6080/(-180) - -34). -4/9 What is ((-32)/168)/(110/(-77))? 2/15 What is the value of (-54 - (-112500)/2088)/((-7)/4)? 2/29 What is the value of 10/2 + 182/(-182)? 4 What is 680/(-1479)*(-66)/(-5) - -6? -2/29 Evaluate (-450)/(-99) - (-896)/616. 6 What is the value of 28/154 + 2/((-198)/(-2457))? 25 3/(11/(-231)*7) + -13 -22 Calculate (-41 + 39)/((-20)/(-230)) + 2*5. -13 What is the value of 27*1961/15741 - (-8)/(-22)? 3 What is (-12)/(-1080)*10 + 160/18? 9 Calculate ((-18)/(-27))/(2/(-6) - (-527)/(-186)). -4/19 What is (-2)/(-16) - (-43)/(-3096)*-9? 1/4 What is -1*(-14 + 2457/175)? -1/25 Calculate 1*((-18)/(-8) + 16/896*266). 7 What is the value of (-232)/(-145) - (-322)/(-115)? -6/5 Calculate (-38 + 39)/(4/(-56)). -14 What is the value of ((-8)/(-6))/(8*6/(-72))? -2 What is -241 + 240 - (10 + -1)? -10 What is 232/145 + 108/(-180)? 1 Evaluate 180/450*155/2. 31 What is -1*51/18 + (-18)/(-79 - -25)? -5/2 Calculate (2 + 2)/((-24)/864*8). -18 What is 66/(-110)*(155/45 - 4)? 1/3 Calculate (16 - 888/60)*(-30)/(-4) - -3. 12 Calculate ((-7)/700*-40)/(1/(5/6)). 1/3 What is -1 + (-28)/((-112)/92)? 22 -8 - ((-41)/(-164))/(1/(-34)) 1/2 Calculate 592/(-64) + 9 + (-31)/4. -8 Evaluate (2737/(-245) + 11)/((-15)/(-35)). -2/5 Calculate (336/448)/((-126)/(-16)). 2/21 What is (845/7605)/(1/63)? 7 What is ((-10)/6)/1 + (-780)/(-90) + 6? 13 What is (-5)/(-10) - 42/100 - (-13130)/(-1625)? -8 What is -2*305/(-520) - (-56)/728? 5/4 What is the value of 64/88*43/86? 4/11 (80/4000)/(2/(-8)) + 202/25 8 What is (((-2)/8)/(33/6))/(32/64)? -1/11 Evaluate (-1 - 17/(-21))/(-14*(-63)/(-1029)). 2/9 Calculate (3/21 + 444/(-1295))*(-23 + -2). 5 Evaluate (5 + 282/(-42))*(-3 + 10). -12 Evaluate (6/(-10))/((32/1600)/(2/4)). -15 Calculate ((-1116)/(-651))/((-6)/(-56)) + -38. -22 What is (-1 - (-84)/36)/42? 2/63 530/210*3 + 16/(-28) - -2 9 What is the value of (-455 + 457)/(1/5)? 10 Evaluate (-300)/(-270) - (-7 + 4 - (-93)/27). 2/3 What is the value of 10819/5115 - (-312)/(-143)? -1/15 Calculate 1*-5*190/(-28500). 1/30 Calculate 2 - (-14 - -12) - (2 + (5 - 3)). 0 What is the value of (-48)/(-64)*4/(-60)? -1/20 What is ((-638)/(-319))/(40/14)? 7/10 What is (-387)/(-270) + (140/24)/(-7)? 3/5 Calculate (1/6)/((-12)/108). -3/2 What is the value of (57 + -28)/87 - 1*(-3)/9? 2/3 Calculate ((-308)/26 + (-6)/39)/(-10 + 6). 3 What is 105/(-1456) - 90/(-480)? 3/26 What is the value of (24400/(-6832))/(0 + -5)? 5/7 What is 15 - 5 - ((4 - -32) + -16)? -10 (78 + (-12814)/172)*((-51)/(-49) - 1) 1/7 Calculate ((4 - -5) + (-85)/10)/(2/(-24)). -6 Evaluate (188/(-470))/(29/(-5)). 2/29 Calculate (837/155)/(3/(-5)). -9 What is the value of (22/(-231) + 159/1008)/((-5)/(-10))? 1/8 (4 - -15) + -25 + 11 5 -64*((-92)/(-115)*-5 - (-45)/12) 16 What is 4 + 45/(-12) - (69629/116)/49? -12 What is ((-1482)/(-162) + -9)/2? 2/27 Calculate 210/((-210)/(-10)) - ((-22 - -3) + 1). 28 What is the value of ((-1)/30)/(276/27 + -10)? -3/20 What is 3/(-10)*37/((-15318)/(-115))? -1/12 What is -9 - (-1725)/(-4002)*(-208)/10? -1/29 What is the value of 102/6 + 23 + -38?
{ "pile_set_name": "DM Mathematics" }
s 27427 a composite number? False Is 594533 a composite number? False Is 16949 prime? False Is 8923 a composite number? False Is 533 prime? False Is 12515 a composite number? True Is 28333 composite? True Is 19153 prime? False Is 23683 prime? False Is 1892755 a prime number? False Is 11182 a composite number? True Is 6066781 a composite number? True Is 3989 composite? False Is 453443 composite? True Is 91411 a prime number? True Is 135977 a prime number? True Is 31799 composite? False Is 20386 composite? True Is 697177 a prime number? False Is 38209 a composite number? True Is 10897 a prime number? False Is 2721 composite? True Is 106853 a prime number? True Is 500077 a composite number? True Is 409 a prime number? True Is 9089 a composite number? True Is 34115 a prime number? False Is 4142591 prime? True Is 20393 a composite number? False Is 5623 a prime number? True Is 85691 a prime number? True Is 76091 composite? False Is 42979 a composite number? False Is 485923 prime? 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False Is 1167 composite? True Is 1018481 a prime number? False Is 9231467 composite? True Is 744463 prime? False Is 427639 composite? True Is 523801 a composite number? False Is 72797 composite? False Is 34961 prime? True Is 104071 prime? False Is 327245 a prime number? False Is 54437 prime? True Is 541 a composite number? False Is 2877923 composite? True Is 1444679 prime? True Is 536189 prime? True Is 2335 a composite number? True Is 846823 a composite number? False Is 892019 prime? True Is 58633 composite? True Is 3418 a prime number? False Is 1110247 a composite number? False Is 3793 prime? True Is 12791 prime? True Is 517271 composite? True Is 299389 a composite number? False Is 19297 prime? False Is 2487 a prime number? False Is 525619 a prime number? False Is 26171 a prime number? True Is 19547 composite? True Is 1660549 a composite number? True Is 235753 a prime number? False Is 35489 composite? True Is 540433 a composite number? False Is 132985 composite? 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False Is 5501 a composite number? False Is 47339 a composite number? False Is 427519 a prime number? False Is 5381 a composite number? False Is 3542963 composite? False Is 26227 composite? False Is 11541 a prime number? False Is 4321 prime? False Is 63221 composite? True Is 143761 a prime number? False Is 119027 prime? True Is 18293 a prime number? False Is 4889 composite? False Is 23843 a composite number? True Is 5359039 composite? True Is 2237 prime? True Is 186917 a prime number? True Is 165993 a prime number? False Is 7903 prime? False Is 132629 prime? False Is 2658943 prime? False Is 342739 prime? False Is 86837 composite? False Is 61511 a composite number? False Is 182747 prime? True Is 6037 a composite number? False Is 673259 composite? True Is 132541 a prime number? True Is 368257 composite? True Is 5331 prime? False Is 59765 composite? True Is 27871 composite? True Is 217091 composite? True Is 13891 prime? False Is 7615 a prime number? False Is 1769 prime? False Is 9913 a composite number? True Is 7135 a composite number? True Is 189751 a prime number? False Is 4749 composite? True Is 4637 a composite number? False Is 718603 a composite number? False Is 117129 prime? False Is 1759 a composite number? False Is 20851 composite? True Is 2498 composite? True Is
{ "pile_set_name": "DM Mathematics" }
423144 What is the third derivative of -134*n*u**4 - 3*n*u**3 - 2719*n*u**2 - n + 11*u**3 + 8*u**2 + 2*u wrt u? -3216*n*u - 18*n + 66 Find the third derivative of 3*b**3*l*u**3 + b**3*l*u**2 + 4*b**3*l*u + 3*b**3*u**2 + 762*b*l*u**3 - b*u**2 - l**2*u**3 + 6*l**2 wrt u. 18*b**3*l + 4572*b*l - 6*l**2 What is the third derivative of 395*m**6 + 2*m**5 + 67*m**4 + 62*m**2 - 3*m + 98? 47400*m**3 + 120*m**2 + 1608*m Find the third derivative of 517464*d**5 + 227*d**2 + 65. 31047840*d**2 What is the second derivative of 574141*u**3 - 160*u - 657? 3444846*u Find the third derivative of m**6 + 14504*m**4*v + 2*m**2 + 1079*m*v wrt m. 120*m**3 + 348096*m*v What is the second derivative of -445*u**4 + 4370*u**3 - 6116326*u? -5340*u**2 + 26220*u What is the derivative of -202454*g**2*m**2*n + 6*g**2*m + 33*m**2*n - 2*m**2 - 52*m*n wrt g? -404908*g*m**2*n + 12*g*m What is the first derivative of -9*g*h**3*x**2 - 1431*g*h**2*x**3 - 8*h**3*x**3 + h**3*x**2 + 76*h**2*x**3 + 3*h*x**3 wrt g? -9*h**3*x**2 - 1431*h**2*x**3 Find the first derivative of 17429*p**3 - 5*p - 242150 wrt p. 52287*p**2 - 5 What is the second derivative of -8*c**3 - 307*c**2 - 35467*c? -48*c - 614 What is the second derivative of -8*b**3*g**2 - 3*b**3 - 18*b**2*g - 126*b*g**5 - 4*b*g + 78*b wrt g? -16*b**3 - 2520*b*g**3 Differentiate 3*v**4 + 20452*v**2 - 28252 wrt v. 12*v**3 + 40904*v Differentiate k*m**3 + 15*k*m**2 - 244*k + 4600*m**3 + 2*m**2 with respect to k. m**3 + 15*m**2 - 244 Find the second derivative of 7814*n**2*v**3 + n*v**3 - 2137*n*v wrt n. 15628*v**3 What is the derivative of 453*u**2 + 2426*u + 122822? 906*u + 2426 What is the first derivative of -191*a*m**3 + 29723*a - 22*m**3 wrt m? -573*a*m**2 - 66*m**2 What is the second derivative of t**4 + 19*t**3 - 256*t**2 - 38664*t wrt t? 12*t**2 + 114*t - 512 What is the second derivative of 33778*o**2*t**2 - 110520*o**2*t - 2*o*t wrt t? 67556*o**2 What is the third derivative of -302523*b**3*u**3 + 16*b**2*u**3 - 2709*u**3 wrt b? -1815138*u**3 What is the second derivative of 32618*s**2 - 148220*s wrt s? 65236 Find the third derivative of -1425*r**6 - 59*r**4 + 399323*r**2. -171000*r**3 - 1416*r Find the second derivative of -30789*y**3 + y - 9541 wrt y. -184734*y Find the third derivative of -479*z**4 + 1451*z**3 + 2808787*z**2. -11496*z + 8706 Find the first derivative of 6*y*z**2 + 12723*y*z + 5472335*y wrt z. 12*y*z + 12723*y What is the second derivative of -170*o**3 - 459*o**2 - 333143*o? -1020*o - 918 What is the derivative of -14245*a - 32594? -14245 What is the derivative of -24*v**4 + 68*v**3 - 32*v - 3352856? -96*v**3 + 204*v**2 - 32 Find the third derivative of -2*j**5*k + 6716*j**4*k + 6*j**2 - 2*j*k + 246*j - 3*k + 5 wrt j. -120*j**2*k + 161184*j*k What is the third derivative of p**2*x**3 - 25*p**2*x + 2*p*x**2 - 53145*x**6 + 132 wrt x? 6*p**2 - 6377400*x**3 What is the first derivative of 8*l**4*s**2 - 498*l*s**3 + 2*s**3 + 68*s**2 - 200*s wrt l? 32*l**3*s**2 - 498*s**3 Differentiate 25184*c*d - 175924*d wrt c. 25184*d Find the third derivative of 33798*r**6 + 44*r**2 - 18*r + 3. 4055760*r**3 What is the third derivative of 678*a**3*d**2*k - 2*a**3*d*k + 10*a**3*d + 66*a**2*d**2 - 17*a*d**2*k + 7*d**2*k wrt a? 4068*d**2*k - 12*d*k + 60*d What is the second derivative of q*u**2 - 7*q*u + 33*q + 176460*u**2 + 2*u + 6 wrt u? 2*q + 352920 Differentiate -10*a*c*n*v + 3*a*c*v - 24*a*v + 54*c*n + 8*c*v - 10*n*v with respect to a. -10*c*n*v + 3*c*v - 24*v What is the third derivative of -111*i**2*r**3 - i**2*r**2 + 2*i**2*r - 387*i*r**4 - 2167*i*r**2 + 40*r wrt r? -666*i**2 - 9288*i*r Find the first derivative of 523038*c - 389114 wrt c. 523038 What is the derivative of 50*n**3*u - 147968*n**3 + 5*n**2*u + 14*u wrt u? 50*n**3 + 5*n**2 + 14 Find the third derivative of -1934*b**3*c**4 - 25*b**3*c - 3*b*c**2 - 24*b*c - c**2 wrt c. -46416*b**3*c What is the derivative of 57437*l - 2073? 57437 What is the derivative of -358*f**3*s**3 - 22*f**3 - 9*f**2 + 2*s**4 + 41 wrt s? -1074*f**3*s**2 + 8*s**3 Differentiate 13*r**2*w - 2296*r**2 - r + 1716*w - 1 with respect to w. 13*r**2 + 1716 Differentiate -7*t**2*x**2 - 493*t**2 - t*x + 5*t + 2234*x with respect to x. -14*t**2*x - t + 2234 Differentiate 233*d**2 - 3*d - 23920 with respect to d. 466*d - 3 Find the third derivative of -2*b**2*o**3*q**3 - 3*b**2*o**2*q**3 + 146*b**2*o**2 - 5*b**2*q + 312*b*o**3*q**3 + 3*b*o*q**3 + 4*b*q**3 + b wrt o. -12*b**2*q**3 + 1872*b*q**3 What is the second derivative of -38*c**3*w**2 + 2*c**3*w*z**2 + 708*c**3*z + 2*c**3 - 412*c*w**2*z**2 + c*z**2 - 5*z**2 wrt w? -76*c**3 - 824*c*z**2 Differentiate 13*d**3*u - 344*d**2*u + 2*d**2 - 250*u + 9 with respect to d. 39*d**2*u - 688*d*u + 4*d What is the derivative of 2*u**3 - 3261*u + 188114? 6*u**2 - 3261 Differentiate -3*n**2*q - 15*n**2 - 4*n*q**2 + 18*n + 81787*q**2 with respect to n. -6*n*q - 30*n - 4*q**2 + 18 What is the third derivative of 105629*x**3 + 526*x**2 - 57? 633774 Find the third derivative of 2*i**5 - 4277*i**3 + 472*i**2 - 74*i wrt i. 120*i**2 - 25662 Find the second derivative of -106121*l**3 - 124396*l wrt l. -636726*l What is the derivative of -909*s**3 + 15*s**2 + 23*s - 1071589 wrt s? -2727*s**2 + 30*s + 23 Find the first derivative of 17189*f**4 - 17434. 68756*f**3 What is the third derivative of 3191*i**4*x**2 + 3*i**4*x + 3*i**2*x**2 - 106*i**2 - 8*i*x**2 - 5*i*x wrt i? 76584*i*x**2 + 72*i*x What is the second derivative of 10763*g**3*k**3 + 20*g**3*k + 4*g**3 + 58*g**2 - k**4 wrt k? 64578*g**3*k - 12*k**2 Differentiate 67*n**3*w**3*x + 4*n**3*w**3 + 113*n**3*w**2*x + 4043*n**3*w with respect to x. 67*n**3*w**3 + 113*n**3*w**2 Find the second derivative of 73*v**5 + 2*v**4 - 4951*v**2 + 4*v - 122145. 1460*v**3 + 24*v**2 - 9902 Find the second derivative of -31351*i*l*n**2 + 3*i*l*n - 531*i*l + 2*l*n**2 + 8*l - 3 wrt n. -62702*i*l + 4*l Find the first derivative of 226*n**3 - 50*n**2 - 14*n - 3844197. 678*n**2 - 100*n - 14 Find the second derivative of 785791*i**3 + i**2 + 11*i + 4413. 4714746*i + 2 Find the second derivative of 100*b**5 + 221*b**4 - 104878*b. 2000*b**3 + 2652*b**2 Find the first derivative of -252410*x**3 - 310107 wrt x. -757230*x**2 What is the derivative of -66*x**4 - 1350*x + 3056188 wrt x? -264*x**3 - 1350 What is the third derivative of 3052733*a**3 + 1013*a**2 + 15*a + 33 wrt a? 18316398 What is the third derivative of -5*l**3*p**2*x + 6862*l**3*p**2 + 30*l**2*p**2*x - l**2*x - 4*l*p**2*x - l*p*x + 10*l wrt l? -30*p**2*x + 41172*p**2 Find the third derivative of -440*b*u**3*x**2 + 34*b*u**2*x**3 - b*u**2 - 175*b*u*x**3 - 336*u**3*x**3 - u**2*x**2 - 2*u**2 wrt u. -2640*b*x**2 - 2016*x**3 What is the second derivative of 2330*k**5 - k**3 + 34*k**2 - 2431421*k? 46600*k**3 - 6*k + 68 Find the third derivative of 1202*a**5*f + 9*a**3*f - 75917*a**2*f wrt a. 72120*a**2*f + 54*f What is the second derivative of -2*l**2*m*q + l**2*m - 166*l**2*q - 88*l**2 + l*m - 9*l*q - 2*l + m*q - q + 24 wrt l? -4*m*q + 2*m - 332*q - 176 Find the second derivative of -17*b**4 + 37*b**3 + 8*b**2 - 49479*b - 1. -204*b**2 + 222*b + 16 Find the first derivative of -s*y**2 - 16102*s - 30*y**2 + 4*y - 77 wrt s. -y**2 - 16102 Find the third derivative of 8758*k**3*p*v**3 - k**3*p*v**2 - 2*k**2*p*v**3 - 78*k**2*p*v + 438*k*v**3 wrt k. 52548*p*v**3 - 6*p*v**2 What is the second derivative of 1066*m**2*z**3 - 6*m**2*z**2 - 91*m**2*z - 2*m*z - 876666*z**3 wrt m? 2132*z**3 - 12*z**2 - 182*z Differentiate 31587*o*w**3 - 80568*w**3 wrt o. 31587*w**3 Find the third derivative of -6*i**4*x + 2949*i**4 - 16*i**2*x - 17*i**2 - 3*x wrt i. -144*i*x + 70776*i What is the third derivative of -13*w*x**4 - w*x**2 - 49540*w*x - 56*x**5 + 4*x**4 wrt x? -312*w*x - 3360*x**2 + 96*x Differentiate -l**4 + 8*l**3 - 302*l**2 + 5*l - 207357 with respect to l. -4*l**3 + 24*l**2 - 604*l + 5 Find the third derivative of -69*f**6 - 930*f**3 - 4970*f**2 - 6. -8280*f**3 - 5580 What is the second derivative of -65903*f**3*z - 167365*f*z wrt f? -395418*f*z Find the third derivative of -804689*b**2*r**5 - 1385*b**2*r + 2*b*r**2 - 2*r**2 + 1 wrt r. -48281340*b**2*r**2 Find the third derivative of -116*c*h**3*y + 16*c*h**3 + 70*c*y - 3*c - h**3*y + 2*h**3 + 2*h**2*y - 7*h**2 wrt h. -696*c*y + 96*c - 6*y + 12 Diff
{ "pile_set_name": "DM Mathematics" }
t q be b(w). Solve -q*m = -0*m - 3*p + 22, -3*m = 4*p + x for m. -4 Let v be 1/((-4)/16) - 17. Let c = -41 - -23. Let w = c - v. Solve 5*y = w*u + 10, 0*y - 2*y + 2*u = 0 for y. 5 Let z = 18 + -16. Suppose -k = -2*m + 2, -2*k = z*m - 0 - 8. Solve 2 = k*d - 4*j, 0*j + 22 = 4*d + j for d. 5 Suppose -292*r + 293*r - 2 = 0. Solve 18 = r*n - 2*i, n = -2*i - 2 - 4 for n. 4 Let v be (-4)/(-10)*(1 + 4). Let o(n) = -n**2 + 5. Suppose 0 = 6*b - 13*b. Let g be o(b). Solve -2*m - v*m - 3 = -3*k, -g*m - 2*k = 21 for m. -3 Suppose -2*h - 105 = h. Let y = h + 37. Solve 4*c + 1 + 3 = -3*b, 0 = 5*c - y*b - 18 for c. 2 Let t = -585 + 593. Solve 0 = 3*f - t*f - 3*g - 28, -13 = 2*f + 3*g for f. -5 Suppose 0 = 5*d - 3*d. Suppose d = -7*l + 2*l + 25. Solve -6*s + 35 = -5*n - s, l*s - 31 = 4*n for n. -4 Let j be 39/26 - 2/4. Solve -2*a = 2*w + 6, 2*w = 3*a + j + 3 for a. -2 Let u be 21 + (2 - 1)/(7/(-14)). Solve 5*c - 3*c - u = 3*d, -c - 18 = 4*d for d. -5 Let b be ((-17)/(-5) - 3)*15. Suppose -4*s + 7*s = b. Suppose 4*m - 16 = -4*x, -3*m - 3*x - s*x = -12. Solve m*q + 9 = -a, a - 1 = 3*q - 3 for q. -1 Let o = -460 + 464. Solve l - 2*y + 12 = 0, 0 = o*l - 3*y + 40 - 12 for l. -4 Let u(o) = 2*o + 4. Let l = -8 + 6. Let x be u(l). Let g be (x + 0)*(-6)/(-12). Solve g*k = -k - i - 7, k - 2 = 2*i for k. -4 Let k(n) = -n**3 - 6*n**2 + 7*n + 8. Let l be k(-8). Let p = l + -45. Solve 0 = -3*m + 3*a, 5*a + 0*a - p = -2*m for m. 5 Let n = 23 + -40. Let w be (-2)/5 + n/(-5). Solve q + 2 = l, w*l - 20 + 6 = -q for l. 4 Let l = 439 - 431. Suppose -5*h + 12 = -2*h. Suppose h*s - 2*s - l = 0. Solve -3*j = 4*u - 2*u, -5*j + s*u = 0 for j. 0 Let o(w) be the third derivative of 5*w**4/24 - 10*w**3/3 - 10*w**2. Let c be o(5). Solve -4 = 2*g + 4*p, c*g - 32 = 3*p + p for g. 4 Suppose 0*u + 12 = 4*u. Let q = 9 + -5. Solve -2*w = -w - q*j - u, j = 5*w - 15 for w. 3 Let b be 9/18*(-4 - (-2 - 24)). Let p(n) = -n**3 + 5*n**2 + n. Let h be p(5). Solve 3*g - 21 = h*q + b, 0 = 2*q - 2*g + 16 for q. -4 Suppose -3*q - 78 = -6*q + 4*x, 28 = q - 2*x. Solve 10 = a + 2*a + i, -q = -a - 5*i for a. 2 Suppose 3*z = -2 + 11. Let r be 4/(2/(-1) - -4). Let q be 3 - r - 5 - -8. Solve -g - 8 = -5*g, z*g + 6 = q*m for m. 3 Suppose 0 = -6*q + 83 - 317. Let d = -36 - q. Solve -5*x + d*s = -s + 24, 0 = 2*x + 4*s + 4 for x. -4 Let j(y) = -2*y - 5. Let a be j(-4). Let b = 17 + a. Suppose -4*f - 4*v - 4 + 36 = 0, 5*f = -v + b. Solve -5*z - 29 = 5*n - 2*z, 3*n = 5*z + f for n. -4 Let b(h) = 2*h + 5. Let x be b(-1). Suppose x*q - 8 = -o, 3*o - 6*q - 10 = -q. Solve 4*c = -5*k - o, 5*k = -2*c - 0*c - 5 for c. 0 Let w = -50 + 60. Solve w = -2*r + 5*b, 7 - 27 = 4*r + 2*b for r. -5 Let b(u) = -4*u**2 - 2*u + 12. Let m be b(5). Let f = m + 99. Solve -3*y - 2*i - f = 3, -2*y = -i - 9 for y. 2 Suppose 0 = -y + 5*t - 29, 3*y + t - 73 = 8*y. Let m = 16 + y. Solve m*s - 4 = 3*a, -2*s - a + 1 = -3 for s. 2 Let w be (1/(-3))/(5/(-15)). Let m be 2/(w/2*-2). Let b be m/3*6 - -7. Solve b*r = 3*d - 3, 5*d - 5*r + 10 = 3*d for d. 5 Let r = 747 + -740. Solve 0 = 2*x + 5*l + r, -2*x = -5*x - l - 4 for x. -1 Let h(m) = -m**2 - 2*m + 3. Let n be h(0). Suppose o + 8 = n*o. Suppose 0 = -j - j - 5*r + 28, -o*r + 12 = -j. Solve -w + 5 = -j*l + 18, -15 = -5*l for w. -1 Let y(l) = l**2 + l - 4. Let w be y(2). Let g = 2 + w. Suppose -4*t - 4*k - k = -3, 6 = t - g*k. Solve t*a - 5 = -3*u, 2*u = 5*a + u - 21 for a. 4 Suppose -4*j = 3*i - 29, -3*i + 3*j + 19 = -17. Solve -4*u = -5*k - 32, 4*u + 5*k - 3 + i = 0 for u. 3 Let i(g) = 6*g**2 + 9*g + 7. Let u be i(-1). Solve 2*r - u*z + 2 = -r, -4*r - 4 = -4*z for r. -2 Suppose 2*k = 47 - 13. Suppose -3*c = -k - 4. Suppose -4*o + 20 = -0*o + s, -4 = 3*o - 4*s. Solve -t = 4*u - 2*t + 8, -3*u = -o*t - c for u. -3 Let k = -1228 + 1240. Solve 4 = -2*p + 3*w + k, -5*p - 5 = 5*w for p. 1 Let k = -42 - -27. Let d be (-441)/k - 12/(-20). Solve -5*r + d = -0*j + 3*j, 4*r = 3*j - 3 for r. 3 Let k = -235 - -356. Suppose 5*g = 2*i + 188, i = 2*g - k + 45. Solve -4*w = d + 3*d - g, -3*d - 2*w = -22 for d. 4 Let q = 583 - 579. Solve 5*r = 4*o + 10, -2 = -r - q*o - 0*o for r. 2 Suppose 2*y = 7*y + 145. Let w = y - -34. Solve w*v = 2*b - 0*b - 23, 4*v = -4*b - 24 for b. -1 Suppose 6 = -h + 2*v, -v + 25 = 4*v. Suppose -m + 4*t = t - 15, -5*m + 10 = -2*t. Solve -h*r = -16, 2*y + 4*r = -m*y + 14 for y. -1 Let d be 56/(-112) - 1*2/(-4). Solve -5*l - 2*w - 14 = d, 0 = -3*l + 4*w - 32 + 8 for l. -4 Let s(a) be the second derivative of -a**5/20 - a**4/3 + a**3/2 - 4*a**2 + 17*a. Let q be s(-5). Solve 0 = -q*n + f - 14, -2*n + f - 6*f + 10 = 0 for n. -5 Suppose 0 = -m + 2*q + 12, 5*m - 12 = 2*q + 16. Solve -2*w - m - 3 = -s, 6 = -3*w + 3*s for w. -5 Let d(m) = 4*m - 76. Let i be d(21). Suppose i*s + 48 = 48. Solve 2*b + 5*h + 29 = s, 2*b - 2*h = 3 + 3 for b. -2 Suppose 3*n + 5 = -5*s - 5, 2*n - s - 15 = 0. Solve -4*c + 2 = 4*d - 10, -5*d = -n*c - 35 for c. -2 Let g(d) = -d**3 + 6*d**2 + 14*d + 18. Let x be g(8). Solve 0 = -3*f, -x*u - f = 3*u + 10 for u. -2 Suppose 47*k + 175*k - 987 = -107*k. Let d = 2 - 3. Let q = d - -1. Solve 4*v + 19 = i - v, q = i + k*v + 13 for i. -1 Let j = 37 + -35. Solve -k + 4 = k + 3*b, j*b - 1 = -k for k. 5 Suppose 5*q - 4*t = 4*q + 9, 0 = -4*q + 4*t + 36. Solve q + 4 = -3*v + 2*n, 4*v + 29 = 5*n for v. -1 Suppose -49 = 2*y + 3*h, 3*y + 2*y + 4*h + 140 = 0. Let p = -30 - y. Solve 5*i - 3*z - p = 0, i - z = -i for i. -2 Suppose 4*o = 19*o - 330. Solve 21 = -3*p + 3*m, 0*m - o = 4*p - 2*m for p. -4 Let g be (-4)/(-42) + 18980/1365. Solve -2*r = -2*z - z + 10, 5*r + g = 2*z for z. 2 Suppose 2*i + i - 134 = -2*w, -5*w = 25. Suppose -3*b + i = 12. Let t = b + -3. Solve 0 = -3*g - 2*y + y - 9, -5*y - t = 3*g for g. -3 Suppose 9*w - 7*w + 10 = -2*d, 16 = 4*d - 5*w. Let v be ((-8)/(-3))/(-2)*3/d. Solve -2*y - b + 4*b = 7, -v*b = y - 13 for y. 1 Let f be 1 + -1 + 2/(-2). Let m be 0 - (4/2)/f. Let j be ((-12)/(-42))/(1/7). Solve m*y + 4 = 4*p, 5*y + j*p + 2*p - 32 = 0 for y. 4 Suppose 4*v + p = 42, -5*v + 2*p + 49 = 5*p. Suppose 4 = -v*z + 13*z. Solve -15 = z*k + 3*f, 4*f + 10 = -3*k + 2*f for k. 0 Suppose -11 = -2*p - 3. Suppose -2*o + 0 - 6 = -p*q, 0 = 2*q + 3*o + 9. Let y(a) = -3*a - 9. Let t be y(-4). Solve -2*n = -t*r + 5, 5*n - 10 = 3*r - q*r for r. 5 Let v = 216 - 214. Let q = -1 + 7. Let t be (q/5)/((-3)/(-10)). Solve v*k + 4*u - 16 = 0, -2*k + t*k + 2*u - 8 = 0 for k. 0 Let z be 6/8*(-500)/(-75). Suppose 3 + 17 = 5*u. Solve 13 = z*d + 2*m, d - m - u*m = -19 for d. 1 Let x(t) = -t**3 + 6*t**2 - 2*t + 7. Let j be x(5). Let q be (-12)/42*(-21)/(1 + 2). Suppose -3 = -q*b + 7. Solve -b*y - 4*u = 5 - j, y - 3 = -u for y. 5 Suppose -10*n - 109 = -159. Solve x + 4*x + 5*r + n = 0, -2 = 2*x - 4*r for x. -1 Suppose 0 = 3*f + 2*f. Suppose 3*z - 208 + 121 = -5*s, -4*s = z - 64. Solve -u - b - 3*b - s = f, 2*b = -u - 9 for u. -3 Let m be 4/(-14) + (-60)/(-14). Suppose 2*f - r + 19 = 0, -5*r - 2 - 1 = 4*f. Let g = f + 9. Solve 4*w = 0, 2*u - m = w - g for u. 1 Let m be (-18)/(5 - 2) + 10. Suppose -2*c = -3*u + 13, 4*u + 8*c - 2 = 3*c. Let s(q) = q - 3. Let r be s(6). Solve 0 = r*p + m*n + 23, -2*n = u*n + 25 for p. -1 Suppose 248 = 6*k + 122. Solve -3*m + k = 6, 40 = -5*z + 4*m for z. -4 Let l(f) = -24*f + 123. Let a be l(5). Solve -c = -3*m - 14, 5*c - 2 = 2*m + a for m. -5 Let m be (3 + 16/(-6))*(53 - 2). Solve -5*y - m = h + 1, 0 = -4*h - 5*y - 27 for h. -3 Suppose 5*z + 37 = -58. Let y = 22 + z. Solve 3*a - 9 = y*w, 2*a - w - 11 = 2*w for a. -2 Let o = 206 - 204. Solve 3 = -3*c, -5*z - c - 3 = o*c for z. 0 Let d(o) = -36*o - 15. Let r be d(-1). Let t be -1*2/2*-3. Suppose m = u - t*m, -4*u + r = 5*m. Solve 3*n + u*z = 28, -3*n + 2*z + 4 = -0*z for n. 4 Let p = -772 + 1480. Let k be (-4)/(-26) + p/(-39). Let t be 4/k + (-76)/(-18). Solve b = -u + t*u - 7, u - 11 = -4*b for u. 3 Suppose 0 = -35*s + 36*s - 3. Solve 5 - 4 = 5*g + s*p, -2*g - p = 0 for g. -1 Let x = 497 + -490. Solve -x = -2*o - 3*g, -3 = -0*g - g for o. -1 Let v be 6/(-15) + (-216)/(-15). Let m = -8 + v. Let o(n) = -n + 8. Let b be o(m). Solve 5*w - 2*p = -30 + 7, 5*p = -b*w - 15 for w. -5 Let s be (7 - 7)/(3/((-21)/7)). Solve -3*p + 6 = -s*r - 3*r, -r = p - 8 for r. 3 Let t = -174 - -333. Suppose -t = -5*o + 2*j, 7 = -2*o - 4*j + 61. Solv
{ "pile_set_name": "DM Mathematics" }
ose 36 = 6*w - 0. Solve 4 + w = 2*q for q. 5 Let n(i) = -i**3 - 4*i**2 - 6*i - 2. Let h be n(-3). Let p = h + -5. Solve -p*x - 4 = -3*x for x. 4 Let d = 0 - -2. Suppose -d*j = -2, 3*j + 5 = 2*n + 2. Let p be 142/9 + (-4)/(-18). Solve -n*m = 7 - p for m. 3 Suppose -4*u = 3*z - 6*z - 48, 3*z = u - 39. Let i be 32/6 - (-2)/3. Let d be (i/(-8))/(1/z). Solve d = 4*t - 11 for t. 5 Let w(q) = 3*q**3 + 2*q - 1. Let h be w(1). Let o = h - -1. Solve o*k - 2*k = -9 for k. -3 Suppose -4*r - c + 18 = -3*c, -25 = -5*r + 5*c. Suppose -r = -o - 0. Solve 2*z + 2*z = -o for z. -1 Let n be ((-2)/(-6))/(6/(-54)) + 8. Solve n*s + 15 = -0*s for s. -3 Let t = -6 + 11. Suppose t*l - 3*l = 0. Solve -2*d - 13 + 3 = l for d. -5 Let r be 11 - (3 + -9 - -2). Suppose -3*q = -5*y + 79, q - 14 = -2*y + 11. Suppose 2*x = 2*l - y, -2*l + 3*x + r = -l. Solve 1 = j + l for j. -2 Suppose -5*z + 4*l = -74 - 14, 0 = 4*z - 2*l - 74. Suppose 3*g - z = -g. Let i(f) = f + 3. Let d be i(-1). Solve -b + g = -d*b for b. -5 Suppose 0 = f + 3*o - 4*o - 10, 0 = -f - 4*o. Suppose 4*x = -2*u + 6, 0*x + x + u = 0. Solve x*d - f = -d for d. 2 Let b be ((-12)/10)/((-2)/(-10)). Let g = b - -18. Solve g = -3*j - 0*j for j. -4 Let i(x) = -1 - 13*x + 10*x - 1. Suppose -9 = 2*h + 5*w, h + 4*w = 4 - 10. Let y be i(h). Solve 3*k - y = -10 for k. -2 Suppose -8 = 2*q - 12. Solve -8 + 2 = -q*u for u. 3 Let t be (16/20)/((-4)/(-230)). Suppose -7*j + 17 + t = 0. Solve 2*w + w + j = 0 for w. -3 Let u(t) = t**2 - 4*t + 3. Let l be u(5). Let q = -8 + l. Suppose q*v = -v. Solve v = 5*x - x for x. 0 Let c be (-9)/6 + 2/(-4). Let i be ((-16)/4)/(c*1). Solve -5*g + 4*g = i for g. -2 Suppose 0 = 2*g - 10 + 4. Let h(u) = u**3 + 4*u**2 + 4*u + 3. Let v be h(-3). Solve a = -v + g for a. 3 Suppose 5*m = m. Suppose 2*t - 6*t - 8 = m. Let i be t/7 - 132/(-21). Solve 3*h = i*h for h. 0 Suppose -3*a = a - 32. Suppose 4*m - 4 = a. Suppose 4*p - 20 = -w, -4*p = -6*w + m*w - 20. Solve w = d - 2*d - 3 for d. -3 Let f = -16 - -18. Solve -10 + f = 4*h for h. -2 Suppose -2*o = -3*x + 20, -x + 9*o - 4*o = -24. Solve 5*c - 1 = x*c for c. 1 Suppose 4*v = 5*q + 2, -2*q - 3*v + 9 + 4 = 0. Suppose -t + 9 = q*t. Solve 2*m + t - 13 = 0 for m. 5 Suppose 0 = -4*d + 145 - 21. Suppose 0 = 2*f + 3*f + 4*n - d, 5*n = -f + 23. Solve 0*p + f = 3*p for p. 1 Suppose 0 = 5*h + 2*n, 3*h + 2*n = 3*n + 11. Solve h*o - 5 = o for o. 5 Let j = -25 + 28. Solve 15 = -j*v - 0*v for v. -5 Let p be 8/5 - (-18)/(-30). Solve 2*z - p = -11 for z. -5 Suppose 4*p = 5*p - 12. Suppose 0 = 8*q - 6*q - p. Solve 0 = -4*y - q - 10 for y. -4 Let x(l) = -l**3 - 5*l**2 + 3*l - 3. Let n be x(-6). Solve -14*u = -11*u + n for u. -5 Let n be ((-3 - -5) + -3)*-3. Suppose 4*k = n*z - 48, 0*z + 2*k + 30 = 2*z. Solve 4*p + z = p for p. -4 Suppose -s + 0*s + 2 = 0. Suppose v = -0 - s. Let h be v/((5/(-2))/5). Solve 2 = r + h for r. -2 Suppose 5*a = 18 + 2. Solve 0*g = a*g + 20 for g. -5 Let i be 1*-1*(1 + -3). Suppose -i*a = -n + 25, -a = -n - 4*n - 10. Let l be (-2)/3 + (-85)/a. Solve 3 = l*v - 2 for v. 1 Let g be (-51)/(-24) + 10/(-80). Let c = 8 - 6. Let h be -12*1/(-2)*c. Solve -5*z + h = g for z. 2 Let z = 8 - 2. Let i be (-5)/10*z*-1. Solve i + 0 = k for k. 3 Let m = 13 - 9. Suppose 2*u = 3*w - 11, -m*w + 3 = -3*w - u. Solve -4*h + 3*h = -w for h. 5 Let m be ((-208)/24)/(14/6 + -3). Solve 3 + m = 4*h for h. 4 Suppose -50 = -10*i - 10. Solve i*z + 12 = -0*z for z. -3 Suppose 16*t - 21*t = 0. Solve 2*q + 0*q + 8 = t for q. -4 Let t(g) = -g**2 - 11*g - 11. Let f be t(-11). Let j(a) = a**3 + 12*a**2 + 10*a - 7. Let h be j(f). Solve 0*l - 16 = h*l for l. -4 Suppose -w = 2*w - 3. Let l be 10*w/2 + -2. Suppose 3*n = l + 3. Solve -n*m - 2 - 4 = 0 for m. -3 Let k(g) = g**3 + 10*g**2 - 10*g + 15. Let r be k(-11). Solve r*b + 9 = -3 for b. -3 Let i be 2/6 - 6/(-9). Suppose 0 = -2*k + 6. Solve -k*x + i + 2 = 0 for x. 1 Suppose 3*c + 6 = -0*d - 3*d, -3*d + 2*c - 6 = 0. Let h be ((-1)/(-2))/(d/(-24)). Let y be h/12 + (-30)/(-4). Solve -2*v + 0*v = y for v. -4 Let t(g) be the first derivative of -2*g**3/3 + 11*g**2/2 - g - 6. Let o be t(5). Solve -4 = o*n + 8 for n. -3 Suppose o - r + 1 = 0, -4*r + 2*r + 11 = -5*o. Let y be 2/2*(o + 13). Solve 2*k = 7*k - y for k. 2 Suppose 2*f - 7*f = -15. Suppose -u = -1 - f. Solve -a + u = -0*a for a. 4 Suppose -3*m + r + 49 = -0*r, 3*r + 21 = 2*m. Suppose 0 = 3*k + 12 - 90. Let g = k - m. Solve -u + g = -5*u for u. -2 Let d(y) = -2*y - 2. Let q be d(-3). Let m be (-5)/(-2) - (-4)/8. Let w be (-39)/(-15) - (-18)/(-30). Solve -w*s + m*s = -q for s. -4 Let f = 26 - 18. Let l be ((-2)/6)/(f/(-48)). Solve -2 = -l*k + 4 for k. 3 Suppose 0 = 2*n - 6. Suppose 2*w - 3*u = 4*w - 5, n*u + 10 = -5*w. Let l = w + 8. Solve 7 = l*a - 8 for a. 5 Suppose i = p - 8, -4*i + 0*p = p + 32. Let r be i/12 - (-2)/3. Solve h - 2*h + 2 = r for h. 2 Let m(y) = y**2 - y - 1. Let g be m(3). Let c = 15 - 10. Let d = -2 + c. Solve -g - 1 = d*i for i. -2 Suppose 3*c + c + 29 = 3*w, -3*w - 3*c = 6. Solve 0 = -w*v + v for v. 0 Let b(o) = o**3 - 7*o**2 - o + 3. Let g be b(7). Let t = g + 7. Solve 0 = -2*y + 5 + t for y. 4 Let y = -35 - -10. Let s be (-115)/y + (-4)/(-10). Solve -s*t + 12 = -13 for t. 5 Let v(c) = 3*c**2 + 5*c - 7. Let t be v(2). Solve 0 = -3*j - 0 + t for j. 5 Suppose 0 = -3*i + 3. Solve -r - 3 = -i for r. -2 Let b be (0/1)/((-32)/(-16)). Let w be -3*(1 - 5/3). Solve u + 3 - w = b for u. -1 Let x be 1 + (0/(-3))/2. Let u be (x - -2) + -7 + 6. Solve -d + u = 6 for d. -4 Let w = 5 - -5. Let g = w + -6. Suppose -10 = -j - g*j. Solve -n - 12 = j*n for n. -4 Let l be ((-7)/(-21))/((-2)/(-12)). Suppose 11 = l*j - 3*j + m, -5*j - 3*m = 15. Let a be 4*(-1 - j/3). Solve a = -2*x + 2 for x. -1 Let t(f) = -f**2 - 6*f + 9. Suppose 5*d = 4*x + 183, 0*d + x + 142 = 4*d. Suppose 8*v - 3*v + d = 0. Let u be t(v). Solve -4 = u*c + 2*c for c. -1 Let o(c) = c**3 - 9*c**2 + 6*c + 9. Let z be o(8). Let q = z + 0. Let k be -6*(q/3 + 2). Solve 10 = 3*d - k for d. 4 Let t = 21 - 19. Solve -3*h = t*h - 10 for h. 2 Let g be 2 + 0 + -2 + 2. Let n be (-8)/7*56/(-16). Solve -n*y - 8 = -g*y for y. -4 Let x be 4/20 - 2/10. Suppose 4*a + q = 3*a + 16, -4*a + q + 44 = x. Solve -a = -5*w + 2*w for w. 4 Let i(y) = y**3 - 13*y**2 - 18*y - 11. Let p be i(13). Let b be p/(-14) - (-6)/(-4). Solve 4*q + 0*q - b = 0 for q. 4 Let m be (-5)/((2 - 3)/1). Suppose m*r - 25 = 3*t - t, 4 = -3*r + 5*t. Suppose 3*l = r*l. Solve -x = -l*x for x. 0 Suppose -2*c - 12 = -0*c. Let a be c/((-4)/(-2)) - -3. Solve -2*n + a*n = 2 for n. -1 Suppose -21 = -4*q - 1. Let t be (-24)/(-10)*(q - 0). Solve 2*z = -2*z - t for z. -3 Suppose 2*s - 20 = -2*g + 5*s, -5*g + 32 = -3*s. Solve g*y = -y for y. 0 Suppose 0*o = o - 8. Solve 0*j + 2*j = -o for j. -4 Suppose 0*g + 3 = -2*t - 3*g, 0 = 3*g + 15. Let x be -2*(-3)/t - 2. Let z be 4/(1 + 0 - x). Solve -z*f = -5*f for f. 0 Let n(o) = -9*o**2 - 2 - 10 + o**3 - 9*o + 4. Let a be n(10). Solve 4 = -l + a for l. -2 Let s = 1 - -1. Suppose -s*c + 20 = 3*c. Solve -c*b = 22 - 6 for b. -4 Let d(j) = j - 6. Let q be d(0). Let g(m) = -m**3 - 6*m**2 + 2. Let w be g(q). Solve 7*l + 20 = w*l for l. -4 Let s(c) = -c - 5. Let j be s(-6). Suppose -5*x = j - 16. Suppose -x*h + 16 = h. Solve -h*m = -m - 3 for m. 1 Let s be 0*2*4/16. Solve s = -5*l + 3 - 18 for l. -3 Let z(r) = r - 3. Let p(l) be the second derivative of l**3/6 - 2*l**2 + 2*l. Let m(g) = 2*p(g) - 3*z(g). Let j be m(1). Solve n - 2 + 3 = j for n. -1 Let s = 3 + -1. Suppose y + s - 5 = 0. Solve 0 = -5*j - 2 - y for j. -1 Suppose -5*i + 2*i - c + 15 = 0, -i - c = -7. Solve 4*s + i = -0*s for s. -1 Suppose 0 = 5*f + 5*r - 35, 0*f - 5*f - 3*r = -27. Solve -2*z = -f - 5 for z. 4 Suppose 0*l - 5*l - 85 = 0. Suppose 0*d - 5*d = -3*v - 26, -2*v - 19 = -5*d. Let c = v - l. Solve c = 6*t - t for t. 2 Let q = 10 + -5. Let t(n) = -n - 15. Let w(h) = -4*h - 46. Let c(x) = -7*t(x) + 2*w(x). Let l be c(0). Solve -2*g = -l + q for g. 4 Let p(n) = -4*n**3 - n. Let f(m) = m**2 + m + 1. Let l be f(-3). Suppose 3*s + l - 1 = -i, 3*s + 4*i + 15 = 0. Let c be p(s). Solve -10 = c*u - 3*u for u. -5 Let y(x) = -x**2 - 5*x - 5. Let h be y(-5). Let m(a) = -a**2 - 6*a - 1. Let p be m(h). Suppose p*d + d = 10. Solve -3 - 3 = -d*j for j. 3 Suppose 2*h - 5*q = -7 + 27,
{ "pile_set_name": "DM Mathematics" }
s the units digit of i? 6 Let d be (1 - (3 + 0)) + 1. Let f be ((-2)/d)/(1/7). Suppose 0 = -3*u + f + 25. What is the tens digit of u? 1 Suppose -2*b = -9*b + 105. What is the units digit of b? 5 Let z = -34 + 122. What is the units digit of z? 8 Let h(z) = -3*z - 12. What is the tens digit of h(-11)? 2 Let b(d) = 3*d - 2. What is the units digit of b(1)? 1 Let h(f) = 2*f - 10. Let n be h(6). Let p(s) = s**2 - s - 2. Let q be p(n). Suppose b - 2*g = 18, q = 4*b + 2*g + 24 - 106. What is the tens digit of b? 2 Let z = 125 + -9. What is the units digit of z? 6 Let n be (-112)/3*24/(-16). Suppose 0*b = 4*b - n. What is the units digit of b? 4 Let f = -40 + 71. What is the units digit of f? 1 Let x = 8 + -6. Let k = x - 2. What is the units digit of 2/(6/27 - k)? 9 Suppose -5*j + 5*z + 1430 = 0, j + 5*z - 323 = -37. What is the tens digit of j? 8 What is the units digit of 9/(3 - 32/12)? 7 Suppose -4*g - 16 = 0, -3*r + 2*r = -2*g - 132. What is the hundreds digit of r? 1 What is the tens digit of (-2)/(4/(-33)*3/2)? 1 Let r be 10/(-3) + (-10)/(-30). Let y = 4 - r. What is the units digit of y? 7 Suppose y - 42 - 1 = 0. What is the units digit of y? 3 Let a(i) = i**2 + 10*i + 5. Let y be a(-9). What is the units digit of (-18)/y*(-4)/(-2)? 9 Let b(y) = 15*y - 4. What is the tens digit of b(2)? 2 Let u(i) = i**2 + 2*i + 2*i**2 - 3 - i + 2*i. Let v be u(-3). What is the units digit of v/10 + 2/4? 2 Let q = -81 - -36. Let w = -31 - q. What is the units digit of w? 4 Suppose p - 3 = -1. Let r(z) = 4*z + 14. Let i be r(0). Let m = p + i. What is the tens digit of m? 1 Suppose -3*v = -6*v + 15. Suppose 0 = -2*r - 3*r - w + 100, -5*r - v*w = -100. Suppose 4*j - r = -4. What is the units digit of j? 4 Let q(c) = -c**2 - 14*c - 14. Let a be q(-13). What is the tens digit of 1 + a - 32/(-2)? 1 Let a(i) = i - 1. Let m be a(3). Suppose -u + m*u - 12 = 0. What is the units digit of u? 2 Suppose -2*g - 3*y = g - 9, 0 = 3*g - y - 5. What is the units digit of 3 - (-1)/(g/24)? 5 Suppose 6*u + 25 = 11*u. What is the units digit of u? 5 Suppose 0 = 3*c + 15, -c + 3 = -4*q + 6*q. Let l be ((-2)/(-6))/(1/3). Suppose -q*d = l - 5. What is the units digit of d? 1 Let h = -46 + 100. What is the units digit of h? 4 Suppose l = 26 + 19. What is the units digit of l? 5 Let j(p) = 3*p**3 - 2*p**2 - p. What is the tens digit of j(2)? 1 Let y = 219 - 104. What is the hundreds digit of y? 1 Suppose -24 = -s - 5*u, -3*s + 4*s + u = 4. What is the units digit of (-12)/s*6/12? 6 Suppose 2*w + 6 = -2, 0 = 5*l + 2*w + 8. Let x = 12 - l. What is the tens digit of x? 1 Let y(k) = k**3 + 4*k**2 - 8*k - 6. Let h be y(-5). Let t(f) = f**2 - 9*f - 11. Let z(b) = -b. Let s(m) = t(m) - 2*z(m). What is the units digit of s(h)? 7 What is the units digit of (-2316)/(-28) - (2/7)/(-1)? 3 Let v(j) be the first derivative of -j**4/4 - 4*j**3/3 + j**2 + 5*j - 3. Let h be v(-4). What is the units digit of 1*18*h/(-6)? 9 Suppose -h + 2*a - 33 = 0, -48 = h + 3*a + 5. Suppose -20 = -30*c + 31*c. Let o = c - h. What is the tens digit of o? 2 Let t = 107 - 55. Let b be t/14 - 6/(-21). Suppose -11 = -p - b. What is the units digit of p? 7 Suppose -4*z = -2*z + 8, -5*m - 4*z - 26 = 0. Let h be 0/(m - (-2 + 2)). Suppose -2*w + h = -2. What is the units digit of w? 1 Suppose -14*b = -331 + 37. What is the tens digit of b? 2 What is the units digit of (89/3)/(22/66)? 9 Let i(m) = 9*m. Let q(y) = y. Let a(u) = 2*i(u) - 14*q(u). Let h(r) = r**2 + 4*r + 2. Let f be h(-4). What is the units digit of a(f)? 8 Let h = 25 + -17. Let o(l) = 0*l - 6 + 3*l - l. What is the tens digit of o(h)? 1 Suppose -3*o + 132 = 36. What is the tens digit of o? 3 Suppose -z = 4*b + 2*z - 129, 2*b - 2*z - 82 = 0. Let v = b - 15. Suppose -5*c + 2*n + 35 = -0*n, -3*c + v = 5*n. What is the units digit of c? 7 Let z(x) = x**2 - 7*x. Let p be z(6). Let q be 5*2/p*-3. Suppose -q*u + 7 = -53. What is the units digit of u? 2 Suppose 8*h = 6*h + 128. What is the tens digit of h? 6 Let v = -42 - -61. Let i = v + -1. What is the units digit of i? 8 Suppose 253 = 6*x - 119. What is the units digit of x? 2 Suppose d - 24 = -3*d. What is the units digit of d? 6 Let u(v) = 2*v + 3. Let q(j) = j + 1. Let z(r) = 5*q(r) - 2*u(r). Let s(x) = x**2 - 12*x + 10. Let y(t) = -s(t) - 6*z(t). What is the units digit of y(3)? 5 Suppose 3*g + 132 = 5*g. What is the tens digit of g? 6 Let m(b) = -b**3 + b**2 - b - 1. Let l(i) = 2*i**3 + 4*i**2 - 3*i + 6. Let y(p) = l(p) + 3*m(p). Let t be y(6). Let k = t - -4. What is the units digit of k? 7 Suppose -5*p + 20 = 3*v, -2*p = -7*p + 2*v + 20. Suppose u - 5*g - 95 = -4*u, 3*u - 57 = p*g. What is the tens digit of u? 1 Suppose -3*y - 2 = -4*y. What is the units digit of y? 2 Suppose 3*n = -2*w - 10, -2*n - 3 - 7 = 2*w. Let o(k) = n - 5*k + 2*k + 0. What is the units digit of o(-4)? 2 What is the tens digit of (-388)/(-10) - 1/(-5)? 3 Let q be -3 + 19/(-2)*-10. Suppose 4*z = -2*a + q, -4*z + 45 = a - 49. What is the tens digit of z? 2 Let n be (-6)/21 + 2/7. Suppose n = 3*t + 4 - 10. What is the units digit of t? 2 Suppose 0 = 3*h - 4*h - 36. Let n = 66 + h. What is the units digit of n? 0 Suppose 3*u - 9 = 3*g, 4*g + 4 = 2*g. Let y = 1 - u. Let b(w) = -w + 1. What is the units digit of b(y)? 1 Let s = -2 - -7. Suppose -2*c - s*u = 8, -c + 4*u + 18 = -4. Let z = c - 0. What is the units digit of z? 6 Let d(n) = -n**3 + 14*n**2 - 3*n + 12. What is the units digit of d(6)? 2 Let a(s) = s**3 + 3*s - 4. What is the units digit of a(5)? 6 Let h(i) = 46*i - 58. What is the hundreds digit of h(6)? 2 What is the tens digit of 1098/39 + -4*6/156? 2 Suppose -5*c = 5*n - 45, 0 = -2*c - 2*c + 20. Let z = n - -1. What is the units digit of z? 5 Let s(x) = 3*x**2 - 1. Let u be s(1). Let m be (-1)/(-1 - u/(-3)). Suppose -30 = -m*b - 2*b. What is the units digit of b? 6 Let m(b) = -23*b - 61. What is the tens digit of m(-10)? 6 Let x(j) = 80*j**2 + 8*j - 9. What is the tens digit of x(1)? 7 Let x be 4/22 - 295/(-11). Suppose 0 = -3*f + 3*d + x, -2*f + 2*d + 22 = -d. Suppose 3*a = -u, 0 = f*u - 5*a - 97 + 37. What is the units digit of u? 9 Let j(x) be the first derivative of 2*x**2 + 2 + 1/3*x**3 + 0*x. What is the tens digit of j(-6)? 1 Suppose 2*x + 2*x + 26 = -5*m, 0 = -3*x - 5*m - 17. Let o(l) = -9*l**2 + l. Let v be o(2). What is the units digit of v/(-6) - 3/x? 6 Let t be 16/10 - 2/(-5). Suppose 17 - 48 = -3*b + 4*l, 4*b - 58 = t*l. What is the units digit of b? 7 Let s be -4 + 2 - (0 - -1). Let a be (-3)/6 + (-11)/2. What is the tens digit of ((-4)/s)/(a/(-45))? 1 Let r(i) be the third derivative of 1/20*i**5 + 1/12*i**4 - 2*i**2 + 0*i + 0 + 1/6*i**3. What is the units digit of r(-2)? 9 Suppose -479 = -5*r - 2*b, -5*b = -14*r + 9*r + 465. What is the tens digit of r? 9 Let u(d) be the first derivative of -d**4/4 + 5*d**3/3 + d**2/2 - 5*d - 9. What is the tens digit of u(4)? 1 Let i(p) = p - 1. Let j be i(5). Let m = j - 1. Let k = m - 2. What is the units digit of k? 1 What is the units digit of (1 + 2 - 7)*-42? 8 Let r(a) = 5*a**3 + 3*a**2 - 2*a + 2. What is the tens digit of r(2)? 5 What is the units digit of 4/(-18) + (-266)/(-63)? 4 Let j = -1 + 6. Suppose 3*q - 22 = 2*l, -3*l - 38 = -j*q - l. What is the units digit of q? 8 Suppose 1274 - 418 = 4*b. What is the tens digit of b? 1 Let j be (-2)/5 + (-39)/15. Let u(f) be the first derivative of -f**3/3 - 3*f**2/2 + f - 3. What is the units digit of u(j)? 1 Suppose -230 = 2*w - 7*w. What is the tens digit of w? 4 Let q(a) = a**3 - 7*a**2 - 9*a + 10. Let x be q(8). Suppose 7*v - 3*v - o + 2 = 0, 2*o - 4 = -x*v. Suppose 0*f - 3*f + 24 = v. What is the units digit of f? 8 Suppose 2*v + 13 = -73. Let f = -20 - v. What is the tens digit of f? 2 Let s = 269 + -136. What is the tens digit of s? 3 Let x = 31 + -17. Suppose -4*f = -58 - x. What is the units digit of f? 8 Let b be 22/5 + 2/(-5). Let s = b - -1. What is the units digit of s/4 - (-2)/(-8)? 1 Suppose 3*l - 8*l = -10. What is the units digit of l? 2 Let r be (-12)/(-10)*10/4. Suppose -10 = -r*a + a. What is the units digit of a? 5 Suppose -2*k + 41 = -5*w, -2*k + 4 = 4*w - 28. What is the tens digit of k? 1 Let z = -9 + 6. Let y(c) = 2*c**2 + 3*c - 2. Let w be y(z). What is the tens digit of (3 - (-2 + 3))*w? 1 Supp
{ "pile_set_name": "DM Mathematics" }
*3. Differentiate b(a) with respect to a. -34*a Let x(c) be the first derivative of 598*c**2 - 598*c**2 - c**3 - 15*c + 21*c**4 - 64. What is the third derivative of x(u) wrt u? 504 Find the second derivative of 3329*d - 6658*d**4 + 13264*d**4 - 5272*d**4 wrt d. 16008*d**2 Let g be 4/(-10) - (-54)/10. Let o be 30/10 + -1 + 0. What is the third derivative of -51*d + 20*d**g - 45*d + 96*d + 14*d**o wrt d? 1200*d**2 Let x(u) = 382*u**3 - u**2 + 16. Let i(n) = n**4 - n**3 + 1. Let f(c) = i(c) + x(c). What is the third derivative of f(w) wrt w? 24*w + 2286 Suppose 0 = -217*u + 215*u - 84. Let x be (-4 + 0)/(u/(-48) - 1). Find the third derivative of -24*b**3 - 13*b**2 + 44*b**3 + x*b**2 + 18*b**3 wrt b. 228 Let y(k) be the third derivative of 0*k**4 - 106*k**2 + 1/2*k**5 + 0 + 0*k**3 + 0*k + 5/6*k**6. What is the third derivative of y(t) wrt t? 600 Let i(w) = 990*w**3 - 15*w - 452. Let d(o) = -1980*o**3 + 25*o + 905. Let c(r) = 3*d(r) + 5*i(r). Differentiate c(p) with respect to p. -2970*p**2 Let a be 33*((3 - 5) + 3). What is the second derivative of -a*h + 49*h**5 - 34*h**5 + 49*h**5 wrt h? 1280*h**3 Let s(u) be the second derivative of 914*u**5/5 - 1927*u**4/12 + 195*u. What is the third derivative of s(l) wrt l? 21936 Find the second derivative of -2 - 1408*o**2 + 1862*o**2 + 1735*o**2 + 569*o wrt o. 4378 Let z(o) = 19*o**5 + 41*o**3 - 9*o + 4215. Let r(y) = 5*y**5 + 4*y**3 + y. Let b(m) = -7*r(m) - z(m). What is the second derivative of b(s) wrt s? -1080*s**3 - 414*s Let z(k) = -75*k + 16. Let l(w) = -224*w + 48. Let g(p) = p**3 - 13*p**2 + 45*p - 10. Let t be g(6). Let y(s) = t*z(s) - 3*l(s). Differentiate y(m) wrt m. 72 Let v be (1 - -1)/((-10)/(-125)). Let s = 538 - 511. Find the second derivative of -43*k**4 - 8*k - v*k + 22*k**4 + s*k**4 wrt k. 72*k**2 Let t(q) be the first derivative of 47*q**3 + 5*q**2/2 + 194*q - 1660. What is the second derivative of t(m) wrt m? 282 Let t(g) be the second derivative of -g**7/140 - 8*g**4/3 + 14*g**3 - 3*g - 6. Let w(l) be the second derivative of t(l). What is the derivative of w(b) wrt b? -18*b**2 Suppose -2*x + 4 = -6. Let h be (-9)/15 + 33/x. What is the third derivative of 1956*u**6 + 0*u**2 - 1976*u**h - 17*u**2 wrt u? -2400*u**3 Let x(j) be the first derivative of j**7/20 + j**5/60 - 23*j**4/12 - j**3 + 59*j**2/2 - 138. Let d(n) be the third derivative of x(n). Differentiate d(q) wrt q. 126*q**2 + 2 Let k(u) = -u**3 - u**2 - 2*u - 1. Let h(g) = 5*g**5 - 5*g**3 + 258*g**2 - 9*g - 933. Let z(i) = h(i) - 5*k(i). Find the second derivative of z(s) wrt s. 100*s**3 + 526 What is the third derivative of -14565194*c**5 - 4815*c**6 + 6829*c**2 + 14565194*c**5 wrt c? -577800*c**3 Let j(x) = -17*x**3 + x**2 + 2*x. Let i be j(-1). Suppose 11*q = 13*q - i. Find the second derivative of -q - 15*r + 42*r**2 + 8 - 29*r**2 wrt r. 26 Let x(g) = 56*g - 1. Let v be x(1). Suppose 2*n + d - v = -2*d, -2*n + d + 43 = 0. Find the second derivative of 27*s + n*s**3 - 31*s + 19*s wrt s. 138*s Let j(b) = 2*b**2 + 5*b + 2. Let d(k) = k**2 - 8*k - 13. Let l be d(9). Let v be j(l). Find the second derivative of -2*h**2 - v*h + 22*h + 0*h**2 wrt h. -4 What is the third derivative of 66*z**4 + 628*z**4 + 556*z**2 - 288*z**2 - 280*z**2 - 48 wrt z? 16656*z Find the third derivative of 134690*s**3 - s**4 + 2*s**4 + s - 4*s**4 + 44*s**2 - 134676*s**3 wrt s. -72*s + 84 Suppose -4*s - 26 = -34. What is the second derivative of 19*x**2 - 101*x - 63*x**2 + 2*x**2 - 42*x**s wrt x? -168 What is the third derivative of -1116431 + 1116431 + u - 30*u**2 + 4709*u**4 wrt u? 113016*u Let i(s) = -2*s**2 - 20*s + 11. Let f be i(-10). What is the first derivative of -f*q - 102 - 99 + 162 wrt q? -11 Suppose 0 = -50*r + 139*r. Let d(j) be the third derivative of r*j + 0*j**3 + 39*j**2 - 1/3*j**4 + 1/30*j**5 + 0. Find the second derivative of d(m) wrt m. 4 Let d(p) = 8842*p**4 - 7*p**2 - 2436. Let z(a) = 8843*a**4 - 8*a**2 - 2437. Let x(n) = 8*d(n) - 7*z(n). What is the derivative of x(t) wrt t? 35340*t**3 Let b(d) = 8*d + 123. Let m be b(-14). What is the second derivative of 14 + 168*k**2 - m + k + 76 + 10 wrt k? 336 What is the derivative of -32*f + 67*f**2 - 3698 + 13*f - 3787*f**2 + 19*f wrt f? -7440*f Let t = 125 - 122. Find the first derivative of -20*i**2 - 2 + 23 - 21*i**2 + t wrt i. -82*i Let l(x) = -7*x**4 - 21*x**2 - 23*x + 3175. Let g(u) = 6*u**4 + 18*u**2 + 22*u - 3183. Let m(a) = -5*g(a) - 4*l(a). What is the derivative of m(d) wrt d? -8*d**3 - 12*d - 18 Let i(a) = -386*a + 355. Let v = -80 - -86. Let t(h) = 191*h - 177. Let c(x) = v*i(x) + 13*t(x). Differentiate c(k) with respect to k. 167 Let w(k) = -40*k + 125. Let j be w(0). What is the derivative of -3*q - 75*q**3 + 73*q**3 + 2*q + 4*q - j wrt q? -6*q**2 + 3 Let i(q) be the third derivative of 11*q**7/105 - q**5/20 - 59*q**4/3 - 3246*q**2. What is the second derivative of i(w) wrt w? 264*w**2 - 6 Let d(z) = 2577*z**3 - 8*z**2 - 1619*z - 4. Let n(g) = 2578*g**3 - 6*g**2 - 1618*g - 3. Let o(i) = -3*d(i) + 4*n(i). Find the second derivative of o(x) wrt x. 15486*x Let q(u) be the second derivative of 1793*u**7/42 - 235*u**4/3 + u**2 - 1145*u - 1. Find the third derivative of q(x) wrt x. 107580*x**2 What is the third derivative of 237*a**3 + 5298*a**2 - 1961*a**2 - 1873*a**2 + 574*a**3 wrt a? 4866 Let u(w) = 73*w**3 + 6*w + 80. Let j(n) = n**3 - n. Let r be -6 + (-6)/(-12)*10. Let t(c) = r*u(c) - 6*j(c). What is the first derivative of t(b) wrt b? -237*b**2 Let y(d) = -5719*d - 5916. Let t(j) = -2858*j - 2959. Let w(s) = 5*t(s) - 3*y(s). Find the first derivative of w(k) wrt k. 2867 Suppose -3*k + 0*k = -945. What is the second derivative of -k*l**2 + 2*l + 34*l**2 + 30*l**2 + 7 - 6*l wrt l? -502 Let y(j) be the second derivative of j**7/21 - 78*j**6/5 - j**5/20 + j**4/4 + 251*j**3/6 - 2752*j + 2. Find the third derivative of y(a) wrt a. 120*a**2 - 11232*a - 6 Let u(l) be the third derivative of 103/12*l**4 + 0 + 0*l + 190*l**2 - 89/6*l**3. What is the first derivative of u(s) wrt s? 206 Let o(c) = -380*c**2 - 9*c - 578. Let v(x) = 1138*x**2 + 25*x + 1737. Let t(r) = 11*o(r) + 4*v(r). Find the second derivative of t(z) wrt z. 744 Let u(g) = -g**3 + 2*g**2 + g - 1. Let h(z) = 44*z**3 - 59*z**2 - 4*z + 5. Let q = 27 - 28. Let n(t) = q*h(t) - 4*u(t). Find the third derivative of n(c) wrt c. -240 Let a(p) be the second derivative of -p**7/3 + 15*p**4/4 + p**3/3 - 535*p**2 + 7*p + 40. Find the second derivative of a(r) wrt r. -280*r**3 + 90 Find the second derivative of 1770*a + 44083*a**2 + 12 - 12 - 43967*a**2 wrt a. 232 What is the first derivative of 3*y**2 - 23842*y + 7216 + 23400*y + 4*y**2 wrt y? 14*y - 442 Let k(v) = -v**5 - v**4 - 4*v**2. Let s(w) = 2822*w**5 + 3*w**4 + 2201*w**2. Let g(m) = 3*k(m) + s(m). Find the third derivative of g(p) wrt p. 169140*p**2 Differentiate 44*q**2 - 126*q**2 + 49*q**2 + 9920*q**3 - 354 + 33*q**2 wrt q. 29760*q**2 Let g(d) be the second derivative of 3/2*d**3 + 0 - 13/10*d**5 - d**2 + 0*d**6 + 0*d**4 + 1/21*d**7 - 141*d. What is the second derivative of g(w) wrt w? 40*w**3 - 156*w Let a = -70 - -72. Differentiate a - 173*y**2 + 58*y**2 - 30 - 9 with respect to y. -230*y What is the first derivative of 3313 + 80*a**2 - 2297*a + 4591*a - 2290*a wrt a? 160*a + 4 Let y(b) be the second derivative of -101/6*b**4 + 3/10*b**6 + 0*b**3 + 0*b**2 - 15*b + 11/20*b**5 + 7. Find the third derivative of y(x) wrt x. 216*x + 66 Suppose -31*k - 201 = -697. Let c(j) be the first derivative of 0*j - 14*j**2 - 38/3*j**3 + k. What is the second derivative of c(x) wrt x? -76 Let w(d) be the third derivative of 1075*d**4/8 - 394*d**3 - 365*d**2. Find the first derivative of w(s) wrt s. 3225 Let y = 785 + -720. What is the second derivative of -33*q**2 - y*q**2 - 4*q**2 - 55*q wrt q? -204 Let d(f) be the first derivative of -3*f**5/5 - 15*f**4 - 5*f**3/3 + 14385*f + 9712. Differentiate d(j) wrt j. -12*j**3 - 180*j**2 - 10*j Let o(d) = 2*d**2 - d**3 + 4*d - 6 + 1 + 7*d - 1. Let g be o(4). Find the third derivative of 57*m**5 + 8*m**g - 57*m**5 + 22*m**2 wrt m. 960*m**3 Suppose 55 + 2 = -3*o. Let k = 22 + o. What is the second derivative of -p**3 - 793*p - k*p**3 + 783*p wrt p? -24*p Let x(q) be the second derivative of -26*q**7/21 - 7*q**5/10 - 1525*q**3/6 - 994*q. Wh
{ "pile_set_name": "DM Mathematics" }
is x(q)? -1 Let k(l) be the second derivative of -l**8/6720 + l**7/315 - l**6/120 - l**5/15 - 3*l**4 - 45*l. Let y(q) be the third derivative of k(q). Give y(7). -1 Let p(y) = -y**2 - y + 4. Let b(a) = -a**2 + 9*a + 2. Let s be b(9). Let c be 2 - (6/s - 11). Suppose 5*n + 30 = c. Give p(n). -8 Let o(u) = -2 - 20*u + 11*u + 13*u. Let v be o(3). Suppose 9*i - v = 11*i. Let y(s) = -s**2 - 6*s + 1. Calculate y(i). 6 Let x(z) = -z. Let m(l) = 14*l. Let n(a) = 2*m(a) + 36*x(a). Let w be (-3 - -3) + (4 - 2). Suppose 0 = -4*u - 8, -2*u = -5*d + w*u + 13. Calculate n(d). -8 Let w(c) = 0*c**2 + 7*c + c + 6 - 6*c - c**2. What is w(-4)? -18 Let j(g) = g - 2*g**2 - g - g + 2*g. Let b be (-20)/(-6) - 2 - 2/(-3). What is j(b)? -6 Suppose 0 = -5*b - 31 - 14. Let w(p) = 7*p**3 + 23*p**2 - 10*p - 7. Let r(u) = 3*u**3 + 11*u**2 - 5*u - 4. Let q(j) = b*r(j) + 4*w(j). Give q(6). 2 Let d be 3*(3 + (-4)/24*14). Let l(z) = 8 + 3*z**2 - 5 - 10*z**d + 6*z**2 + z. Determine l(0). 3 Let k(z) = 2*z**2 + 6 - 12*z + 5*z + z**2 - z**3 + 10*z - 1. Let v = -6 + 14. Let f = -4 + v. What is k(f)? 1 Let q(m) = -7*m**2 - 2*m - 3. Let k(h) = -h**2 - 2. Let x(o) = 2*k(o) - q(o). Suppose 0*f + 5 = 5*f. Give x(f). 6 Let o be (-146)/(-8) - 5/20. Let k = o + -14. Suppose 5*b - 3*x = 30, 2 = k*b + 3*x + 5. Let n(a) = -a**3 + 3*a**2 - 2*a + 3. Give n(b). -3 Let u(l) = 10*l**2 + 2*l + 2. Let t be (1 + 3/(-2))/((-29)/(-116)). Calculate u(t). 38 Suppose -5*r + 50 = 2*j, 0 = 2*r + 4*j - 26 - 10. Suppose -25*o + r = -27*o. Let n(x) be the first derivative of -x**2 - 4*x - 2. Determine n(o). 4 Let t(o) = -10*o - 2. Suppose -3 - 1 = -g, 3*g = 4*c - 4. Suppose 7*s = 5*s - c. Give t(s). 18 Let z(c) = 9*c + 1. Let t(l) = 11*l - 6. Let f be t(3). Let h = -26 + f. What is z(h)? 10 Let m(o) = -3*o - 6. Let q be m(-6). Suppose -6*j + j - n = -4, 5*j + 3*n - q = 0. Let z(d) = j*d + d - 4*d - 3*d + d**2. What is z(5)? -5 Let b be (-2)/(-10) + 408/85. Let p(s) = 4 - b*s + 4*s + s**2 + 8*s. Let a be 1/((3/5)/(-3)). What is p(a)? -6 Let t = -30 + 27. Let o(v) = 4*v**2 + 5*v - 2. Let l(c) = -11*c**2 - 14*c + 6. Let k(x) = t*l(x) - 8*o(x). Determine k(-3). 1 Let o = 3601 + -3607. Let k(c) = -11 + 3 + 0*c - 4*c. Determine k(o). 16 Let s(f) = 188*f + 0*f**3 + 6*f**2 - 180*f - f**3. Suppose -5*l = -10*l + 35. Give s(l). 7 Suppose 3*x + 19 = 5*n - 16, -3*n - 4*x = 8. Suppose -n*c + 5*a - 11 = 18, 0 = -3*c + 4*a - 23. Let m(t) = 5*t - 1. What is m(c)? -6 Let b = -1916 + 1921. Let o(g) = 5*g - 10. Calculate o(b). 15 Let m(r) = 7*r + 3. Suppose 12 = -0*c - 4*c. Calculate m(c). -18 Let a(g) = g**3 + g**2 - 2*g + 4. Let x be (26/(-3))/(-3 + (-28)/(-12)). Suppose -11*v = -x*v - 6. What is a(v)? -8 Suppose 0 = -2*y - 5 + 13. Suppose -c + 5*n = -2*c + 8, -3*c = -y*n - 5. Let p(t) = -1 + 5*t + c - 7*t**2 + t**2 + 7*t**2. What is p(-3)? -4 Let f(m) = m**3 - 7*m**2 + 10*m - 1. Suppose 4*a + 21*r - 20*r = 11, -4*r - 36 = -4*a. What is f(a)? -9 Let t(a) = -9*a**3 + a**2 - 4*a + 3. Suppose 0 = 2*v + s - 7, 0*s + 5*s - 15 = 0. Determine t(v). -73 Let m = 927 + -926. Let n(r) = 29*r**3 - 5*r**2 + 7*r. Let h(q) = -15*q**3 + 3*q**2 - 4*q. Let a(b) = -7*h(b) - 4*n(b). Determine a(m). -12 Let n(j) = -14*j + 7. Let c(k) = 15*k - 8. Let u(f) = -6*c(f) - 7*n(f). Determine u(-3). -25 Let h(y) = 4*y**2 - 2*y + 1. Let j be h(1). Suppose f = j - 2. Suppose -o + 5*w + 5 = 4*o, 5*o + f = -w. Let l(g) = -g**3 + g**2 - 6. Calculate l(o). -6 Let f(h) be the first derivative of -3*h**2 + 17*h - 669. Give f(5). -13 Suppose 0 = 2*t - 3 - 1. Let y be (12*-1)/(3 - t). Let n = y - -6. Let c(h) = h**3 + 7*h**2 + 5*h - 7. Determine c(n). -1 Let g(q) = 82*q**3 + 15*q - 19*q**3 - 22*q**3 - 15*q**2 - 7 - 20*q**3 - 20*q**3. What is g(14)? 7 Let a = -738 + 733. Let p(l) = 7*l + 32. Calculate p(a). -3 Let f(y) = 8*y + 1. Suppose q - 128 = -124. Calculate f(q). 33 Let k(p) = p**3 - p**2 - 1. Let t be k(2). Let f(i) = 2*i + 4*i**2 + 3 + 0*i**t + 0*i**3 - 7 - i**3. Determine f(3). 11 Suppose 4*l - 2*a - 6 = 0, 5*a + 3 = -3*l - 12. Suppose 2*j + 4 - 6 = l. Let p(r) = -7*r**3 + 2*r**2 - 2*r + 1. Calculate p(j). -6 Let l be 2/(-1 - 3)*-4. Let x(u) = 5*u**l + 0*u**2 + 0*u**2 + 2*u - 5 - u**3. Let h be x(5). Let q(r) = -r**2 + 6*r + 2. Determine q(h). 7 Let d(s) be the second derivative of -7*s**3/6 + s**2/2 + 3*s - 5. Determine d(2). -13 Let t be 4 + -5 + 5 - 2. Let g(j) = -1363*j**2 - 2 + 3*j + 1359*j**t - j**3 - 3. Suppose 0 = -4*v + 8 - 28. Give g(v). 5 Suppose -12 = -c + 5*q - 2*q, -5*c + 4 = -q. Suppose c = -j - 0*j. Let p(w) = w + 6. Give p(j). 6 Let a(k) be the third derivative of -k**7/840 - k**6/360 + k**5/30 + k**4/12 + 5*k**3/6 + 38*k**2. Let s(d) be the first derivative of a(d). Determine s(-3). 8 Let t(v) = 0*v + 3*v + v + 0*v. Suppose 0 = -0*u - 2*u + 4. Suppose u*s - 26 = -n - 4*n, -5*s - 3*n + 27 = 0. Give t(s). 12 Let l(t) = 2*t**2 + 3*t + 2. Let p = -369 + 365. Determine l(p). 22 Let c(d) be the second derivative of d**5/20 + d**4/2 + d**3/2 + 3*d**2/2 + 10*d + 9. Give c(-6). -15 Let z(y) = -y**2 - 13*y - 24. Let j(o) = 3*o**3 - 31*o**2 + 9*o - 1. Let b be j(10). What is z(b)? -2 Let g(o) = o + 2. Let h = 5 + 10. Suppose -2*b - 3*b = -h. Suppose -1 - 17 = -b*j. Determine g(j). 8 Let n(x) = x**2 + 2*x + 1. Let s(y) = -3*y**2 - 5*y + 4. Let d = -2 + 3. Let f be s(d). Determine n(f). 9 Let j(n) = -n - 2. Let s be j(-7). Let w(o) = 4*o - o + 10 - 14 + 0*o. Determine w(s). 11 Suppose -160 = 5*h + 40. Let i = h - -33. Let s(f) = -f**3 - 7*f**2 + 2*f + 2. Give s(i). -12 Suppose 49*d - 90 = 253. Let q(w) = w - 11. Give q(d). -4 Suppose 5*s - 2*s = 33. Let q(y) = y**3 - 12*y**2 + 12*y - 16. Let z be q(s). Let j(i) = -i**2 - 5*i + 4. Give j(z). 4 Let y(a) = -25*a**3 + 11*a**2 + 7*a - 2. Let s = -30 - -23. Let z(d) = -12*d**3 + 6*d**2 + 4*d - 1. Let p(k) = s*z(k) + 4*y(k). What is p(1)? -15 Let j = -4 + 3. Let p(b) = 7*b**2 + 3*b. Let h(x) = -11*x**2 - 5*x. Suppose 4*w + 2*o + 36 = -2*o, 0 = 2*o + 2. Let d(a) = w*p(a) - 5*h(a). Give d(j). -2 Let w be 40/(-4)*8/(-10). Suppose -w*v = -4*v + 8. Let m(t) be the first derivative of t**4/2 + t**3/3 - t - 4. What is m(v)? -13 Suppose -2*i = -d + 8, 0*i + 15 = -5*i. Let w(n) = 7 + 5 - n**d + 6*n - 6 + 0. Give w(7). -1 Let w(d) = -8*d - 1. Let q(b) = -7*b - 2. Let g(s) = -2*q(s) + 3*w(s). Let z(i) = -i. Let f(j) = -g(j) + 2*z(j). Determine f(1). 7 Let l(s) = -4*s. Let u be l(4). Let y = u - -16. Suppose g = 3*h - 0*g - 15, -4*h + 2*g + 20 = y. Let n(z) = -z**2 + 7*z - 2. Determine n(h). 8 Let r(x) = x**3 - 13*x**2 + 11*x + 17. Let k be 7 - (-6 - 2) - (-3)/(-1). Determine r(k). 5 Let x(k) = -2*k**3 + k**2 + k + 1. Let c(d) = -13*d**3 + 16*d**2 + 12*d + 9. Let q(n) = -c(n) + 7*x(n). What is q(-9)? 43 Suppose -4 - 6 = -5*g. Let n(f) = 9 - f - 22 + 4 + 10 + g*f**2. Let i be ((-6)/4)/(6/8). Determine n(i). 11 Let n(k) = k**2 - 4*k - 3. Let h be (8/6)/(4/18). Suppose 53 = -3*r + 4*a, 0 = -r + a - h*a - 5. Let l be (-3)/r + (-76)/(-20). What is n(l)? -3 Let n(c) be the first derivative of -c**2 - 11*c - 77. What is n(-8)? 5 Let a = -67 - -109. Suppose 12*o - 6*o + a = 0. Let n(r) = r**2 + 5*r + 8. What is n(o)? 22 Let z(w) = 3*w**2 + 1. Suppose -11*a + 12*a = -k + 15, 2*a = 4. Suppose 2*f = 2*n - 30, -33 = -2*n - 0*f + 3*f. Let d = n - k. Calculate z(d). 4 Let y be 10*5/(-10) + 3. Let b(l) be the first derivative of 2*l**3/3 + l**2 + 3*l + 9. Calculate b(y). 7 Let f(t) = -t**3 + 7*t**2 - 9*t + 8. Let h = 17 - 7. Suppose -2*s + u = -14 - 0, 3*s = -4*u + h. Determine f(s). -10 Let j(i) be the third derivative of -1/120*i**6 - 1/60*i**5 + 0*i - 1/6*i**3 + 0 + 8*i**2 - 1/24*i**4. Let f be j(0). Let g(s) = -s - 2. Calculate g(f). -1 Let r(l) = -2*l**2 - 4*l. Let t be 24/(36/3) - (-1 + 0). Determine r(t). -30 Let f(g) be the second derivative of -g**4/24 + g**3/3 + 19*g**2/2 + 3*g. Let l(p) be the first derivative of f(p). What is l(-5)? 7 Let l = -22801 - -22806. Let p(r) be the second derivative of r**6/360 - r**5/40 - r**4/8 + r**3/3 + r. Let s(f) be the second derivative of p(f). What is s(l)? 7 Let o = 13 + -7. Suppose -2*i + 54 = -4*m, m - 53 = -2*i + 6*m. Let d(r) = 2*r + r**2 - 24 + i - 10*r. Give d(o). -7 Let x(q) = -1. Let g(n) = n - 4. Suppose -32*i = -35*i - 6. Let r(v) = i*x(v) + g(v). Let z = 0 - 6. Give r(z).
{ "pile_set_name": "DM Mathematics" }
value? (a) -6 (b) -12 (c) 2/17 (d) -14 b Which is the smallest value? (a) -2/15 (b) 7 (c) 0 a Which is the biggest value? (a) 1 (b) -4 (c) -238 a Which is the biggest value? (a) -0.2 (b) -11 (c) 31 c What is the smallest value in 5/6, -5, -26? -26 Which is the second smallest value? (a) 0.3 (b) -17/5 (c) -2/3 (d) 4 c Which is the biggest value? (a) -9.95 (b) 3 (c) 4 c Which is the second biggest value? (a) 3 (b) 5 (c) 4 (d) -12 c What is the third biggest value in -74/41, -2/7, -5? -5 What is the fifth biggest value in -9/5, -0.1, 1, -3/2, 0.3? -9/5 Which is the second biggest value? (a) -1/6 (b) 1/5 (c) -18 (d) 61 b Which is the second smallest value? (a) 2/3 (b) -0.3 (c) -2/9 (d) -930 (e) 0 b What is the second biggest value in -0.016, 11, -5? -0.016 What is the second smallest value in -0.5, -2/5, 21, 1/11, -1/5? -2/5 Which is the fifth smallest value? (a) 2/7 (b) -5 (c) 28 (d) -2 (e) -12 c What is the second biggest value in -1/2, -2/17, -3, 4, 0.57? 0.57 What is the third smallest value in -1/26, 2/15, 4? 4 What is the third smallest value in 0.14, -0.5, 0, -1.1, -5? -0.5 Which is the third smallest value? (a) -5 (b) 34/3 (c) -0.3 b Which is the second biggest value? (a) -2.1 (b) -4 (c) 3 a Which is the second smallest value? (a) -4 (b) 0 (c) -39 (d) -2 a What is the third smallest value in -11/3, -25, -1/7? -1/7 Which is the smallest value? (a) -4 (b) 3 (c) 5 a Which is the third smallest value? (a) 5 (b) 0 (c) 1 (d) 1/2 (e) 69/5 c Which is the third biggest value? (a) -1.44 (b) 5 (c) 3/7 a Which is the third biggest value? (a) 0.4 (b) -1/3 (c) 5 (d) 2/7 (e) -0.9 d Which is the biggest value? (a) -381 (b) 0 (c) -2/19 b Which is the fourth smallest value? (a) 2/9 (b) 1 (c) -5 (d) -37 b Which is the second biggest value? (a) -0.4 (b) -5 (c) 327 a What is the second smallest value in 3, -8, -3, -0.2, 0.5? -3 What is the second smallest value in 0.2, -4.4, -2/7? -2/7 What is the third smallest value in -2/5, 2, -41? 2 What is the third smallest value in 4, 1, -1/3? 4 What is the fourth biggest value in 1/8, -2/31, -4, 0.1? -4 What is the third smallest value in -0.5, -1/12, 1, 2/163? 2/163 Which is the smallest value? (a) 2 (b) -12/5 (c) -1/3 (d) 3 (e) 0 b Which is the biggest value? (a) -9 (b) 0.4 (c) -0.2 (d) -0.081 b Which is the second biggest value? (a) 11 (b) -13 (c) -0.4 c What is the biggest value in -3, 5/7, 33? 33 What is the smallest value in 0, 0.0245, -4/3, -1? -4/3 What is the third smallest value in -0.1, 9, 4/7, 5? 5 Which is the second biggest value? (a) 0.5 (b) 1.1 (c) -3 a Which is the fourth smallest value? (a) -6/5 (b) -5 (c) -9 (d) 1.8 d Which is the fourth biggest value? (a) 1 (b) 4 (c) -0.11 (d) -8 d Which is the third smallest value? (a) -16 (b) 1.4 (c) -4 b What is the third smallest value in 7, 177, 1? 177 What is the biggest value in -0.5, -9/14, 0? 0 Which is the biggest value? (a) -1 (b) -0.12 (c) 3.6 c What is the third biggest value in -0.204, -10, -3/7? -10 Which is the biggest value? (a) 2/13 (b) 20 (c) 4 (d) -0.2 b What is the second smallest value in 0, 5, -1, 3, -4? -1 Which is the third smallest value? (a) -71 (b) -3/4 (c) -0.03 (d) 1 c Which is the fourth smallest value? (a) -39 (b) -4 (c) -30 (d) 1/3 (e) 3 d Which is the second biggest value? (a) -41 (b) 5/7 (c) -0.3 c What is the fourth biggest value in -4, -30, 2, 1? -30 What is the biggest value in 50, 0.2, -2/9? 50 Which is the fourth smallest value? (a) 0 (b) -0.1 (c) -4 (d) 6 d What is the fourth smallest value in -0.2, -1/2, 0.08, 40? 40 Which is the second smallest value? (a) -3 (b) -8/23 (c) -7/4 (d) -5/3 (e) -2/7 c What is the second smallest value in -2/9, 0.1, -81, 2/13, 12? -2/9 What is the second smallest value in -0.6, -74, 0? -0.6 Which is the fourth smallest value? (a) -5/9 (b) 0.2 (c) 0 (d) -2 b What is the biggest value in 5, 1, -6? 5 What is the second smallest value in -0.06, 4, -3/113? -3/113 Which is the smallest value? (a) -95 (b) -3 (c) 3 (d) 0.4 (e) 0 a What is the second biggest value in 6, -5, -5/4? -5/4 Which is the fourth biggest value? (a) -18 (b) 0.5 (c) -1/11 (d) 0.1 a What is the third biggest value in -3/2, -3, -23, 2, 16? -3/2 Which is the third biggest value? (a) 2 (b) 0.2 (c) 3.72 b Which is the third smallest value? (a) -0.4 (b) -2/11 (c) 4 (d) 0.08 d Which is the third smallest value? (a) -5 (b) 4 (c) -2/3 (d) 13 b Which is the second smallest value? (a) -6 (b) -1/4 (c) 2 b What is the third smallest value in -0.4, -7, -6/11, 0.1? -0.4 What is the second biggest value in -5/4, -2.1, -4? -2.1 What is the smallest value in -1/5, 2, 3, -1, 4? -1 What is the third smallest value in -8, 1/9, -1, 1, -0.2? -0.2 What is the biggest value in -4, -0.2, -3, -21/16, -2/5? -0.2 What is the third smallest value in 927/2, 0.4, -2/7? 927/2 Which is the second biggest value? (a) 4 (b) -1/4 (c) -0.15 c What is the third biggest value in 0.3, 0.2, -2, 44, -5? 0.2 Which is the second biggest value? (a) 2 (b) -3 (c) -404 b Which is the second smallest value? (a) -0.03 (b) -1 (c) -2/7 (d) 1/29 c Which is the fourth smallest value? (a) -0.5 (b) -4 (c) 2 (d) -43 c What is the third biggest value in 4/9, 1/9, -10? -10 What is the third smallest value in -3, 7/12, -1, 1? 7/12 Which is the fourth smallest value? (a) 5 (b) 1/16 (c) -1 (d) 0.3 a What is the second biggest value in -0.1, 2/3, -345, -2, 2/7? 2/7 Which is the fourth biggest value? (a) -1 (b) -8/7 (c) -0.1 (d) -2/9 b Which is the second biggest value? (a) 0.4 (b) -5 (c) -0.3 (d) 132 (e) 4 e What is the second biggest value in -8, -0.008, 0.3? -0.008 Which is the biggest value? (a) -2 (b) -2/17 (c) 5 c Which is the smallest value? (a) 30 (b) -1 (c) 0.3 (d) -1/2 b Which is the smallest value? (a) 4 (b) -3 (c) 3/17 b What is the smallest value in -0.3, 3/7, 4, -11? -11 Which is the fourth biggest value? (a) 6 (b) 1/4 (c) -4 (d) -2/23 (e) -0.03 d Which is the fifth biggest value? (a) -3/8 (b) -2/7 (c) 4/11 (d) 2 (e) -5 e Which is the second smallest value? (a) 5 (b) -0.4 (c) -0.13 c What is the smallest value in 0.5, 946/7, -3/5? -3/5 What is the third smallest value in 0.2, -12, 30? 30 What is the fourth smallest value in -6, 0.1, 35, -1/4, 2? 2 Which is the smallest value? (a) -26/7 (b) 0.4 (c) -3 a Which is the second smallest value? (a) -3 (b) -0.02 (c) -3/7 (d) -0.2 (e) 0.3 c What is the fourth smallest value in -0.5, -0.06, -0.8, 0.4? 0.4 What is the biggest value in 45, 4, 0? 45 What is the second biggest value in 3, 2/13, 23? 3 What is the second biggest value in 5, 0.114, 0.3? 0.3 Which is the fourth smallest value? (a) -3 (b) 0.2 (c) 0.3 (d) 1/4 c What is the fourth biggest value in 2.1, -1, -4, -2/3, -16/9? -16/9 Which is the second smallest value? (a) -2.7 (b) 2/5 (c) 1/5 c What is the second smallest value in 2, -0.53, 1/3? 1/3 Which is the second biggest value? (a) 4 (b) 1 (c) -0.4 (d) 7/4 (e) 0.03 d What is the smallest value in 1/9, 0, -702, 3, -0.3? -702 What is the smallest value in 2, 1.3, 0.29, 0.2? 0.2 What is the smallest value in 0.1, -4, -0.5, 5, 6? -4 Which is the biggest value? (a) 3 (b) -83 (c) 1/11 (d) 1 a What is the second biggest value in -1/3, 48/5, 2/15, -4? 2/15 Which is the fifth biggest value? (a) 3/2 (b) -4 (c) -2/5 (d) -1/5 (e) -0.1 b Which is the smallest value? (a) -17 (b) 0.1 (c) 0.5 a Which is the fifth biggest value? (a) 1 (b) -3/4 (c) -2.5 (d) 1/12 (e) 0.4 c Which is the biggest value? (a) -2/9 (b) 4 (c) 3 (d) -144 (e) -1/4 b Which is the second smallest value? (a) 3 (b) 41/2 (c) 5 (d) 2 a Which is the second smallest value? (a) 13 (b) -3 (c) 2 c What is the fourth smallest value in 6/7, 2/15, -0.4, -3? 6/7 Which is the second biggest value? (a) 0.3 (b) -1/5 (c) 6 (d) -3 a What is the third smallest value in -2106, -2, -1/5? -1/5 Which is the second smallest value? (a) -1466 (b) 2 (c) -0.4 c Which is the biggest value? (a) -364 (b) 1/4 (c) -0.6 (d) 4 d Which is the fifth smallest value? (a) -0.1 (b) -0.3 (c) -1 (d) 36 (e) 4 d What is the biggest value in -0.4, -3/2, 4,
{ "pile_set_name": "DM Mathematics" }
23/((-2484)/90). 15 Evaluate 4/(-120)*(-3)/((-3)/(-2))*9. 3/5 (1/(18/156))/2*(-15)/5 -13 Evaluate -3*(-5)/60*88/(-1). -22 What is the value of 10/(-105)*-9*14/(-3)? -4 What is the value of (4*21/(-6))/(-29*35/(-2030))? -28 ((-6)/(-5))/(((372/60)/31)/(-5)) -30 What is the value of ((-1914)/(-528))/((-15)/120)? -29 What is the value of (42/6)/(2310/66)? 1/5 Evaluate ((-4)/(-2))/((-342)/2394). -14 What is the value of (-10)/(((4/(-9))/((-44)/198))/1)? -5 Evaluate (((-22)/(-88))/((-3)/(-64)))/(2/(-3)). -8 Calculate (-12)/(-189)*-3*(-238)/204. 2/9 Evaluate 11/(1001/208)*196/84. 16/3 What is 11/((-627)/396*-132)? 1/19 Calculate (4/12)/(4/48)*1. 4 90/(-18)*-2*(-5)/(-775) 2/31 What is (1260/11025)/(-4*1)? -1/35 Calculate (1490/(-894)*(-18)/(-4))/(1/2). -15 ((-278)/(-695))/(6/10)*3/(-10) -1/5 What is the value of (-68)/187*5797/(-62)? 34 (((-52)/120)/13)/(-4*(-5)/(-30)) 1/20 Evaluate ((53/(-18))/53)/((-13)/52). 2/9 What is the value of ((-1245)/2241)/(-2*(-1)/(-18))? 5 Calculate 4/((-42)/(-126)*-14*(-9)/6). 4/7 What is (-57456)/4032*(-8)/(-6)? -19 What is the value of 240/(-25)*95/76? -12 Calculate 20/(((6/(-10))/((-15)/100))/3). 15 153/255*(-1*(-4)/12)/(-1) -1/5 Evaluate (-6)/(24/(-18)*63/28). 2 (-31)/(-434)*-14*(-2)/19*-1 -2/19 Calculate 54/(-252)*(-12)/18*14/(-105). -2/105 Calculate (((-6)/(-18))/((-1)/(-3)))/(2/22). 11 ((-357)/4165)/(((-36)/28)/(40/28)) 2/21 What is (15/6)/(20/128)? 16 Evaluate 10*612/(-136)*((-8)/60)/(-1). -6 What is the value of (14/392*-7)/(-1)? 1/4 Calculate (-30)/(-80)*8*(-180)/(-20). 27 Evaluate (9/(-12))/((-81)/(-2160)*110). -2/11 (-26)/(-4)*(-578)/289 -13 What is the value of (21672/108)/86*(-3)/(-1)? 7 What is the value of 60/(380/(-19))*(-2)/6*-2? -2 What is the value of (8775/15)/(-13)*16/(-36)? 20 What is ((-612)/(-6426))/((-4)/(-966))? 23 Calculate (-540)/(-40)*18/(-27). -9 25/(-425)*0*(-1)/2 0 Calculate (3/(-20)*1)/(177/4720*-40). 1/10 What is ((-24)/9)/4*(-675)/(-30)? -15 What is (222/185)/(12/10)? 1 What is (-6*(-8)/(-132))/(7*(-4)/(-14))? -2/11 (1/(1/(-5)))/((-7070)/16968) 12 -4*(4/24)/(1435/105) -2/41 (-21)/(-60)*(-96)/(-84) 2/5 Evaluate 3*(-10)/1020*(-16)/(6/(-3)). -4/17 Calculate -1*6/8*6112/(-5730). 4/5 Calculate 2/(3/(27/(-198))). -1/11 Calculate 6*(-33)/30*(-9)/(-99). -3/5 Evaluate 15*(-22)/66*(-2)/(-5). -2 What is the value of (42/(-105)*(-40)/(-44))/((-4)/22)? 2 Calculate (8/(-7))/((1/(-7))/(39/1326)). 4/17 What is 19/(-114)*5*-6? 5 What is the value of 144/84*6/(24/(-28))? -12 Calculate (8775/(-18))/13*(-5)/15. 25/2 Calculate (21*2/14)/(-4*10/4). -3/10 Calculate 4/(7/(140/(-120))). -2/3 Calculate (-10)/(-3)*((-9384)/(-230))/34. 4 7*(120/14)/4 15 Calculate ((-927)/(-21630))/(((-24)/40)/(4/10)). -1/35 ((-7)/12*74/(-259))/((-3)/8) -4/9 Calculate 3*14/((-882)/7). -1/3 What is the value of ((8/15)/(-2))/((-16)/(-36))? -3/5 Calculate ((-1)/((2*-1)/2))/(197/(-591)). -3 What is the value of ((-1)/(-10)*660/88)/(-2)? -3/8 What is ((-36)/(-15))/(3*286/(-195))? -6/11 What is the value of 128/(-720)*(-6)/(-8)? -2/15 Evaluate (-7)/((-2)/(-3)*(496/32)/31). -21 What is (-2*3/(-6))/((-1793)/(-326))? 2/11 Calculate 1*(10051/(-23))/23. -19 Evaluate (2/12)/(113/(-226))*18. -6 What is 9*(-7)/(-84)*(-17)/102? -1/8 Evaluate (4/(-6)*15/20)/(6/(-132)). 11 ((-1572)/(-131)*10/(-8))/(21/(-1)) 5/7 Evaluate ((-41)/((-246)/(-18)))/((-6)/(-8)). -4 What is the value of -18*2/(-10)*-15*(-20)/(-90)? -12 What is 1/3*(-2430)/((-270)/(-5))? -15 Calculate (15/(-6))/((-14)/(-112)*4/3). -15 Calculate ((-1)/1)/(((-5)/10)/(42/12)). 7 What is (-2*54/36)/(56/21)? -9/8 What is the value of 37/((-1406)/(-171))*-4? -18 What is (2/4*-3)/(-18*(-34)/5304)? -13 ((-2)/(-3))/(((-5)/(45/(-2)))/5) 15 What is the value of 1788/(-1490)*5/6? -1 What is the value of ((-84)/2499)/(((-72)/(-21))/(-4))? 2/51 What is the value of 72/(-48)*7/3*(-90)/45? 7 What is (10150/75)/(-29)*((-6)/(-4))/3? -7/3 Calculate (1260/270)/((-4)/6). -7 What is ((-2)/3)/(-2)*(-1650)/((-775)/31)? 22 Calculate 16/(-32)*14/119. -1/17 Calculate ((-35)/35)/(((-33)/3)/(-187)). -17 Evaluate (-154)/(-1848)*(-14)/4*4/(-7). 1/6 Evaluate (((-855)/(-38))/(-45))/(2/(-44)). 11 What is the value of 243/567*24/(-36)? -2/7 What is the value of (((-22)/(-55))/(126/30))/(2/6)? 2/7 (5/(1225/14))/(1*(-4)/20) -2/7 (1188/11088)/(6/14) 1/4 What is the value of (88/(-22))/(32/56)? -7 Calculate (494/8)/13*174/551. 3/2 (33/(2112/(-32)))/(2/204*3) -17 Evaluate (-35)/(-14)*21/420. 1/8 Evaluate (184/230)/(8/60). 6 ((-12)/21)/(-2)*(90/12)/(-15) -1/7 Evaluate -7*(-1)/((-119)/323). -19 What is 55/4*((-3)/(-20))/(21/56)? 11/2 Evaluate -9*(-11)/(66/40)*(-3)/12. -15 What is (-24)/((-312)/(-13))*(-34)/(-2)? -17 What is the value of (4/(-26))/(155/((-88660)/(-528)))? -1/6 Calculate (2/4)/(17/68*-6). -1/3 What is ((-2)/(-6))/(155/(-5115))? -11 What is ((-3)/119)/((-17)/289)? 3/7 Calculate 1/10*1*6/36*-15. -1/4 Calculate (9/10*-2)/(3/20). -12 (10*(-24)/(-168))/(1/14*2) 10 What is the value of 189/210*10/12? 3/4 Evaluate ((-2)/18)/((-6)/(-36))*765/(-34). 15 (3/(15/(-2)))/(31*9/45) -2/31 (-4172)/298*(-7)/(98/(-24)) -24 What is the value of (710/1704*(-4)/(-5))/(2/42)? 7 Evaluate 2/2*(-147)/(-49)*-1. -3 Calculate ((95/285)/((-2)/28))/4. -7/6 Evaluate ((12/105)/((-28)/70))/((-22)/(-154)). -2 Calculate ((198/12)/33)/((-6)/4). -1/3 What is -5*12/270*(-180)/5? 8 What is the value of ((-1)/(-16))/(((-6)/(-48))/1)? 1/2 What is 1/((507/(-182))/39)? -14 What is the value of 1*3/(-54)*3? -1/6 Evaluate 0/((-9)/(-6)*(-124)/(-93)). 0 Calculate ((-72)/(-15))/((-12)/30*4/(-8)). 24 Calculate ((-1)/(-1))/((-24)/2856*17). -7 Calculate (-168)/(-756)*9/(-13). -2/13 (20/15)/((-4160)/960) -4/13 What is (6/(-24)*-16)/(20/(-35))? -7 (192/(-15))/(-4)*(2870/28)/(-41) -8 Calculate -12*((-104)/(-195))/((32/(-20))/(-2)). -8 87/(-145)*(8/(-10))/(66/(-55)) -2/5 Calculate 18*(-39)/(5616/(-128)). 16 Calculate 1*4*(-1650)/(-480)*16/20. 11 Calculate ((-22)/5)/(((-24)/(-150))/((-20)/50)). 11 What is the value of 4*((-38)/(-2))/(-19)? -4 Calculate 2/(10/(-13))*(-1800)/(-720). -13/2 What is (2/(-4))/(14/32*(-12)/(-84))? -8 What is 3/12*(-392)/735? -2/15 Calculate (6*(-18)/(-9))/(-2). -6 What is (-1)/((-12)/6*(-6)/((-24)/(-2)))? -1 Calculate (((-8)/62)/4)/((44/33)/4). -3/31 Evaluate (-64)/(-52)*(-10)/(-40). 4/13 ((-135)/162)/(2/(8/(-10))) 1/3 What is (10*(-15)/(-450))/(4/(-48))? -4 What is ((-36)/54)/(9/(-243)*-6)? -3 Evaluate (-8)/(-22)*(-1276)/(-174). 8/3 What is the value of ((-513)/570)/(12*(-5)/250)? 15/4 Evaluate 12/(-10)*8*(-2570)/1542. 16 Evaluate 27/(((-10)/((-400)/15))/((-29)/116)). -18 What is the value of (444/74)/(3/(-5))? -10 Evaluate (((-1944)/(-48))/(-27))/(10/(-4)). 3/5 What is the value of (-60)/16*(-55)/(22275/120)? 10/9 What is ((-66)/(-275)*-20)/(-1*12/45)? 18 (((-7)/(-3))/(-7))/(1*3/(-27)) 3 Calculate (-40)/(16560/46)*-3*2. 2/3 2*(15/(-3))/(285/57) -2 Calculate ((99/6)/(-11))/(3/28). -14 (((-72)/(-30))/((3/5)/3))/(-1) -12 Evaluate (-1)/(-1)*1/(-1)*-7. 7 2*(2/(-10*1))/(8/20) -1 What is (27/486*-6)/(4/9)? -3/4 Calculate ((-7436)/78)/13*7/((-56)/12). 11 What is (1*84/(-63))/((-20)/12)? 4/5 18/(-14)*2100/180 -15 (-3*12/(-9))/((-8)/160*-8) 10 What is the value of (4942/14120)/(-1*(-1)/(-2))? -7/10 What is (9*8/(-108))/(35/15)? -2/7 Evaluate ((-8)/28)/(2/((-112)/136)). 2/17 Evaluate (3/(-21)*4)/(18/21). -2/3 Calculate -33*(-2)/(-18)*(-12)/4. 11 Calculate (((-78)/10)/3)/((-5)/(425/(-17))). -13 What is (-5)/(20/(-60)*-1)? -15 Evaluate 4038/3365*10*(3/(-174))/1. -6/29 What is the value of 1/(16/(-440)*30/12)? -11 Calculate 12/35*(-60)/(-48). 3/7 (((-15)/(-24))/((-240)/(-192)))/((-2)/124) -31 (-230)/8*(-24)/(-30) -23 Evaluate (5/10*0)/(-8*13/(-104)). 0 What is the value of (136/1768)/(2/(-4))? -2/13 Evaluate (((-84)/20)/7)/((-2)/30). 9 Calculate ((-285)/(-3610))/(9/(-6)). -1/19 Calculate ((-20)/24)/((-44)/(-66))*-4. 5 What is 523/5230*20/107? 2/107 What is the value of (148/(-185))/((-114)/15)? 2/19 What is (-3)/((-36)/3)*-2*512/16? -16 What is (2/48)/((-18)/(-810)*15)? 1/8 (3*(-33)/22)/(2/((-160)/12)) 30 Calculate (8/((-80)/(-42)))/(216/(-720)). -14 Calculate ((696/9135)/((-8)/(-6)))/(1/(-10)). -4/7 Evaluate 24/9*(6/(-48))/1*30. -10 Evaluate -6*(-10)/(-180)*33*-1. 11 What is 90/(-75)*25/(-15)? 2 What is the value of (88/(-14))/((-78)/(-273))? -22 Calc
{ "pile_set_name": "DM Mathematics" }
1, 3/5 in ascending order. -11143/3, -0.7, 3/5, 1 Put 12, 2, 51, 6 in increasing order. 2, 6, 12, 51 Sort -49, -0.04, -3, -13, 2/5, -1 in ascending order. -49, -13, -3, -1, -0.04, 2/5 Sort -1/7, -0.17, -1023. -1023, -0.17, -1/7 Sort 3/304, -1, 2.8 in descending order. 2.8, 3/304, -1 Sort -1/3, -3, 0.3646, -1 in ascending order. -3, -1, -1/3, 0.3646 Sort 2, 5, -21, 1, 31. -21, 1, 2, 5, 31 Put -0.5, -2, 0.8, 8, 0.2 in descending order. 8, 0.8, 0.2, -0.5, -2 Put -1, -3, -174, -2, -4 in descending order. -1, -2, -3, -4, -174 Sort 74, 1, -44, 20 in descending order. 74, 20, 1, -44 Sort 2/3, -7, 1, -2/7, 18, -30. -30, -7, -2/7, 2/3, 1, 18 Sort -119, -14, 14/9 in increasing order. -119, -14, 14/9 Put 1, 0, -11, -4, 245, -12 in increasing order. -12, -11, -4, 0, 1, 245 Sort -1, -217, -5, 13, -4, 4. -217, -5, -4, -1, 4, 13 Put -2, 2411, -4, 5 in increasing order. -4, -2, 5, 2411 Sort -5, -13, 429, -2 in increasing order. -13, -5, -2, 429 Put -122, 1/4, -3, 27 in descending order. 27, 1/4, -3, -122 Sort 2/13, 3/2, -3349, -3, 3, -4 in descending order. 3, 3/2, 2/13, -3, -4, -3349 Sort -2, 2, -3, 73 in descending order. 73, 2, -2, -3 Sort 355, -3, 0, 5. -3, 0, 5, 355 Sort 11, 2, -2/3, -1/5, 0.2, -4 in descending order. 11, 2, 0.2, -1/5, -2/3, -4 Put 2, 4, -94753 in ascending order. -94753, 2, 4 Put -4, 3, 64 in increasing order. -4, 3, 64 Put 4, -3, 17, -1, -2, 9 in decreasing order. 17, 9, 4, -1, -2, -3 Sort 9, 0, 2, -11430, -3 in increasing order. -11430, -3, 0, 2, 9 Sort 2, 2.6, 0.268 in increasing order. 0.268, 2, 2.6 Sort 9/7, 352, -0.5, 3/4, 0.02 in descending order. 352, 9/7, 3/4, 0.02, -0.5 Sort -16, 0, -41/4, 1/5 in increasing order. -16, -41/4, 0, 1/5 Sort 2, -16, -4, -7, -8 in descending order. 2, -4, -7, -8, -16 Sort 2/13, 309/44, 4, -1/4 in decreasing order. 309/44, 4, 2/13, -1/4 Put 4, 0, 1, -1066, 6 in ascending order. -1066, 0, 1, 4, 6 Put -1, 4, 1, 3, 106288, -2 in descending order. 106288, 4, 3, 1, -1, -2 Put 14, -4705, 49 in decreasing order. 49, 14, -4705 Sort 15, 785, -5, 1 in decreasing order. 785, 15, 1, -5 Sort -4, -173, 3, 1, -3 in decreasing order. 3, 1, -3, -4, -173 Put -92, -7, 0, 4, -12 in increasing order. -92, -12, -7, 0, 4 Put -303, -4, -7, -3 in decreasing order. -3, -4, -7, -303 Sort 39, -6, 1, 5 in decreasing order. 39, 5, 1, -6 Sort 3, -657, 5, -3. -657, -3, 3, 5 Sort 0, 7, 868, 2/21 in descending order. 868, 7, 2/21, 0 Put 2, 0.2, -5, 0.5, -2/285 in ascending order. -5, -2/285, 0.2, 0.5, 2 Sort -3, 5, 2/9, 0.026, -3/11 in descending order. 5, 2/9, 0.026, -3/11, -3 Put -1, -39, 21, -7, 5 in decreasing order. 21, 5, -1, -7, -39 Sort -0.03, -1/5, -2, -4, 6.6 in decreasing order. 6.6, -0.03, -1/5, -2, -4 Sort 5, -3, -4203, -40 in decreasing order. 5, -3, -40, -4203 Sort -11, -0.4, -0.089, 19 in ascending order. -11, -0.4, -0.089, 19 Put 14, 20066, 0 in decreasing order. 20066, 14, 0 Sort -20, 2, -5, 2935, 1. -20, -5, 1, 2, 2935 Sort 4, 46, 342 in descending order. 342, 46, 4 Sort 0.5, 1326, 17, 16 in descending order. 1326, 17, 16, 0.5 Sort 1, 481, 3, 4, 11, 5 in increasing order. 1, 3, 4, 5, 11, 481 Put 3, 111, 0.2, 5, -3/8, 0.4 in descending order. 111, 5, 3, 0.4, 0.2, -3/8 Sort -1, 5, -9, -4, -17, -2 in increasing order. -17, -9, -4, -2, -1, 5 Sort -6, 76, 12, 3, -4 in increasing order. -6, -4, 3, 12, 76 Sort -1/2, -4, 7, 230, 0 in decreasing order. 230, 7, 0, -1/2, -4 Sort 4, -24457, -5, 3 in ascending order. -24457, -5, 3, 4 Sort -343, 48, -3, -4 in descending order. 48, -3, -4, -343 Put 4, -1, -345, -3, 8 in increasing order. -345, -3, -1, 4, 8 Put 14, -5, -17, 598 in descending order. 598, 14, -5, -17 Sort -0.2, 2, 33956. -0.2, 2, 33956 Put -158, 8, 0, 1 in ascending order. -158, 0, 1, 8 Sort -11, 14, 3, 165, 1. -11, 1, 3, 14, 165 Put -1/6, -5, -0.23, 1, -47, -2 in increasing order. -47, -5, -2, -0.23, -1/6, 1 Put 4, 1, 409, 8 in descending order. 409, 8, 4, 1 Sort 1, 2, 10, 3, -5 in decreasing order. 10, 3, 2, 1, -5 Put -410, -1, 0, -4 in increasing order. -410, -4, -1, 0 Put -645159, -4, 4 in descending order. 4, -4, -645159 Sort 2/19, 14.1, 180, -3/5 in increasing order. -3/5, 2/19, 14.1, 180 Put -42, 14, 1, -1, 9 in ascending order. -42, -1, 1, 9, 14 Sort -2/129, -0.4, 0.775. -0.4, -2/129, 0.775 Sort 2, 14735, -31. -31, 2, 14735 Put 2, -2/19, 2/3, 5.04 in decreasing order. 5.04, 2, 2/3, -2/19 Sort -2, 5, 2, 1, -4, -1 in decreasing order. 5, 2, 1, -1, -2, -4 Put 0.719, -2, -502 in ascending order. -502, -2, 0.719 Put 5, -6949, 4 in decreasing order. 5, 4, -6949 Sort -4, 839761, -1, -3 in decreasing order. 839761, -1, -3, -4 Put -4, -2, -2.07, -3, 1.1 in increasing order. -4, -3, -2.07, -2, 1.1 Sort 2/11, 0.011, -5/21 in increasing order. -5/21, 0.011, 2/11 Sort 3, -1, -2.808, 1, -0.4 in decreasing order. 3, 1, -0.4, -1, -2.808 Sort 1, 54, -1, -1224 in increasing order. -1224, -1, 1, 54 Sort 3, -6, 4, -7, -2 in ascending order. -7, -6, -2, 3, 4 Put 3, -14.74, 1 in increasing order. -14.74, 1, 3 Put -0.1, 12, 6/1451 in decreasing order. 12, 6/1451, -0.1 Put -4, -1062, -208 in descending order. -4, -208, -1062 Put -905, 5, -5 in descending order. 5, -5, -905 Put -496, -2/15, 174.4, -4 in descending order. 174.4, -2/15, -4, -496 Sort -46, -11, 0. -46, -11, 0 Sort 5.7, 29/2, -1/5, 0.1, -1 in decreasing order. 29/2, 5.7, 0.1, -1/5, -1 Put -2/7, 6, 110 in increasing order. -2/7, 6, 110 Sort -388, -2, 112. -388, -2, 112 Sort 48, 5, -1, 12, 2, 19 in descending order. 48, 19, 12, 5, 2, -1 Put -8, 0, 22, -3, 1 in ascending order. -8, -3, 0, 1, 22 Sort -0.5, 4, -2/89, 7, 15 in increasing order. -0.5, -2/89, 4, 7, 15 Sort 1, 16569, -56 in decreasing order. 16569, 1, -56 Put 1/2, 1/719299, 1 in descending order. 1, 1/2, 1/719299 Put -1791, 183, -0.5 in ascending order. -1791, -0.5, 183 Sort 15523, 1, -2, 2 in ascending order. -2, 1, 2, 15523 Put -140, -0.5, -182 in ascending order. -182, -140, -0.5 Sort -0.17, -2/563, -0.2, -2, 0.2 in descending order. 0.2, -2/563, -0.17, -0.2, -2 Sort -34, 30, 5 in descending order. 30, 5, -34 Put -3/2, 0.3689, 4 in increasing order. -3/2, 0.3689, 4 Sort -5, 0.5, -4, -13.2, 556 in descending order. 556, 0.5, -4, -5, -13.2 Sort 0.3, 2/19, 10, 1622. 2/19, 0.3, 10, 1622 Sort -0.0668, -5, -0.2 in decreasing order. -0.0668, -0.2, -5 Sort -4, 4251, 6 in descending order. 4251, 6, -4 Put 4, -1, 0.01, -0.2, 0 in increasing order. -1, -0.2, 0, 0.01, 4 Sort -12, 1/2, -3, -1/11, -40, -4. -40, -12, -4, -3, -1/11, 1/2 Sort -6, 0, 4, -20, -5, 1 in decreasing order. 4, 1, 0, -5, -6, -20 Sort -2/15, 2/3, 1393, 1 in increasing order. -2/15, 2/3, 1, 1393 Sort 5, -180, -5, 4, 13 in increasing order. -180, -5, 4, 5, 13 Put -7, -1, -2871, -5 in descending order. -1, -5, -7, -2871 Sort 1, -3, -4, 939, -2 in increasing order. -4, -3, -2, 1, 939 Put 2/7, -0.2, 0.1, 4, -2/11, -37 in increasing order. -37, -0.2, -2/11, 0.1, 2/7, 4 Sort 0, -2, 9566, 1 in descending order. 9566, 1, 0, -2 Sort -35, 7, -4, 0, 0.2, -126 in descending order. 7, 0.2, 0, -4, -35, -126 Put 0.5, 18, 15, -1, 1/4 in descending order. 18, 15, 0.5, 1/4, -1 Sort 0.084, 272, 1, -1 in increasing order. -1, 0.084, 1, 272 Sort -2, 4692, 0 in decreasing order. 4692, 0, -2 Sort -1, 4, 3, 1, -11, 15 in increasing order. -11, -1, 1, 3, 4, 15 Sort 0.3, -1/5, -60998 in descending order. 0.3, -1/5, -60998 Put -3, -6, 5, -5, -101 in increasing order. -101, -6, -5, -3, 5 Put 1984, 16, 4 in ascending order. 4, 16, 1984 Sort 83, -11, -20 in decreasing order. 83, -11, -20 Sort 1, 28, 0.4, 0.002, -1/4, -6 in descending order. 28, 1, 0.4, 0.002, -1/4, -6 Put 0.01, -64.2, 192, -1 in descending order. 192, 0.01, -1, -64.2 Sort -64/5, 0.4, 0.3, 11, 2 in increasing order. -64/5, 0.3, 0.4, 2, 11 Put 4, -10, 167, 16, 2, 5 in ascending order. -10, 2, 4, 5, 16, 167 Sort -4, 0, -238808, 1 in increasing order. -238808, -4, 0, 1 Sort -19, 0, -6, -2, 3, 11 in descending order. 11, 3, 0, -2, -6, -19 Sort 2, -5, -19579, 4, -4, 3 in decreasing order. 4, 3, 2, -4, -5, -19579 Sort 4, -5, 1, -1, -761 in descending order. 4, 1, -1, -5, -761 Put 35, -36, 9 in decreasing order. 35, 9, -36 Put 2, -0.3, 10, 37, 2/5, 170 in descending order. 170, 37, 10, 2, 2/5, -0.3 Sort -4, -481, 268 in descending order. 268, -4, -481 Sort -10, 3.02, 0, -1/2, 1 in descending order. 3.02, 1, 0, -1/2,
{ "pile_set_name": "DM Mathematics" }
Solve -4*f - 5*d = f - 5, q*d + 4 = -2*f for f. 3 Suppose -2*q + 5*p = 2*q + 201, -144 = 3*q + 3*p. Let h = q + 62. Solve 2*g + h = -5*j - 8, 4*g = 4*j for g. -3 Let n be 3 + 1 + (2 + -3 - 2). Solve 0*w = w - n, w = r - 1 for r. 2 Let o be (9/5*-1)/((-36)/300). Solve 0 = 5*p - 5*v - o, 13 - 30 = -5*p + 4*v for p. 5 Let s(j) = 2*j**2 - 54*j + 56. Let z be s(26). Solve -2*m + 3 = -3*l, m = 4*l + 5*m + z for l. -1 Suppose -4*z + 1365 = m, 142 + 223 = z + 5*m. Let c be 4/12 + z/15. Solve -j - c = 5*d, -2*d + j - 1 = 4 for d. -4 Let h be (-44)/88 - 22/(-4). Solve -h*c + 4*d + 19 = 0, c = -d + 2 - 0 for c. 3 Let k = 128 - 119. Solve 2*u - u - 21 = -5*o, o - u = k for o. 5 Let i = 27 + -14. Let y = 13 + -9. Let l be (-6)/(-10)*630/63. Solve -3*f = a + 5, -a - y*f - i = -l*a for a. 1 Suppose -5*h + 25 = -0. Suppose 25 - 15 = h*k. Solve q + 2 = -3*b, 3*q - 3*b - k - 4 = 0 for q. 1 Suppose 0 = 3*x - x - 3*x. Let z be -2 - ((-1)/(-2) - x)*-20. Suppose j + 4*j - 15 = 0. Solve -2*s = j*c - z, -2*c - 1 = 2*s - 5 for c. 4 Let d = -81 - -82. Solve -35 = 5*m - 5*t, -15 = 4*m + 2*t + d for m. -5 Let j = -260 + 170. Let p be 520/j + (-4)/18. Let b(a) = -2*a - 3. Let f be b(p). Solve -4*z - 12 = 0, 4*k - f = -2*z + z for k. 3 Let f(i) = 2*i**2 - 34*i + 38. Let y be f(16). Suppose -17 = -b + s, 0 = y*b - 4*b - 3*s - 35. Solve -2*h = 2*h - b, -3*w + 31 = 4*h for w. 5 Let y(k) = -29*k + 157. Let b be y(5). Solve 0 = -2*v - 2*c + 10, 2*v + 2*v = 4*c + b for v. 4 Suppose -r + 3*b + 0*b + 13 = 0, -4*r - 4*b + 4 = 0. Solve 8 = -3*m - r*n + 19, m + 5*n = 22 for m. -3 Suppose 5*f + 5*v - 50 = 0, -10*v + 24 = 2*f - 7*v. Suppose -4*g + 5*p = 1, -3*g + f*g - 2*p = 1. Solve 3*h + 5*r - 3*r = -2, 3*h - r = g for h. 0 Suppose 3*j + 71 = 77. Solve 6 = 4*k + j*a, 3*k - a = a + 8 for k. 2 Let j be (-3)/15 - 105/(-25). Let t be (3 - (-78)/(-18))/((-2)/3). Solve 0 = j*s + 4*v - 36, -t*v - 3 = 5*s - 36 for s. 5 Let o(j) be the first derivative of 3*j**2 + 95*j - 57. Let n be o(-15). Solve n*z - 1 = -m - 6, 3*m - 2*z = 2 for m. 0 Suppose 0 = a - 3, -b - 3*a = -a + 44. Let w = 26 + b. Let d = w + 28. Solve d*i + 7 = 3*i + 4*u, -3*i - 3 = -3*u for i. 1 Suppose 0 = -5*m + 25, -3*k + 5*m = 8 + 11. Solve 3*i + 4 = 7*i - 4*c, -k*i + 4*c = -10 for i. -3 Let h(y) = 4*y + 3*y - 5 - 2*y. Let s = -395 + 397. Let q be h(s). Solve -1 = -u + 2*r, 4*u - 3 + 12 = -q*r for u. -1 Suppose -6*g - 20 = -g. Let o(z) = -3*z - 10. Let k be o(g). Solve 0 = 2*w + k*n - 6, -1 = 3*w + n - 2 for w. -1 Let f be 77/(-189)*-12 + 2/18. Solve f = 5*i, -6*u - 10 = -u - 5*i for u. -1 Let i(u) = -u**3 - 17*u**2 - 29*u + 7. Let q be i(-2). Solve -3*r - 5*j + 11 = 0, -j + 1 = q*r + 3*j for r. -3 Suppose -5*d = -5*z - 200, 0 = -d - 3*d + 2*z + 152. Let o = -31 + d. Let c = o + -4. Solve l + c = -i, 0 = 4*i + l + l + 4 for i. -1 Let f be 12/16 + (-45)/12 - 60. Let s = f - -66. Solve 0 = -o + s*l - 12, -3*o - 10 = -4*l + 1 for o. 3 Let c be 5/(60/28)*6. Suppose 0 = 5*x + 4 - c. Suppose 2*v = -2*w, 2*w - x*v - 21 = -3*w. Solve -5*d = 5*g + 5, 0 = 2*g + w*d + 2*d - 10 for g. -5 Suppose -21*x = -53*x - 512. Let l = 61 - 40. Let c = x + l. Solve -2*r = -3*i + 6, 0 = 5*i - r - c + 2 for i. 0 Suppose -3*p + 2*c - 2 = 0, 3*p + c + 3 = 4*c. Suppose -2*t + p*t = t. Solve t = 4*x + 12, 5*f - 2*x + 17 = -x for f. -4 Let m be 468/108 + 4/6 + -1. Let g(f) = f - 7. Let k be (11/(-2))/(1/(-2)). Let j be g(k). Solve -j*t + m = 2*c + c, t - 5*c = 24 for t. 4 Let u be 138/42 + (-4)/14. Let s = -121 - -171. Let j = s - 46. Solve 0 = -5*f + 5*x - 20, -j*x + u + 9 = -2*f for f. -2 Suppose b + 3*b - 24 = 0. Let p = 8 - 6. Suppose -s + b = p. Solve 0 = -3*u - 3*l - 9, u + 3*l + 1 = s*l for u. -2 Suppose -5*r = 4*n - 40, -2*r = -n - 3*n + 12. Solve -2*p + n*p + 1 = -4*a, 9 = -3*p for a. 2 Let k(w) = -8*w - 4. Let v be k(-3). Let l = -738 + 756. Let m = v - l. Solve -3*y - 2*y + m*n - 5 = 0, -y = -5*n + 24 for y. 1 Let f be (-44)/216*-12 + (-4)/9. Solve 0 = -f*s + 5*q + 5, s - q = -2 + 3 for s. 0 Let n(s) = s**2 + s - 7. Let m(y) = -y + 8. Let a(l) = 4*m(l) + 5*n(l). Let x be a(1). Solve -t + 2 = 2*d, -3*t + t - x*d + 4 = 0 for t. 2 Let v be 2/(-4)*2 + 3. Let h be (-49)/(1 + -4 + v). Suppose 5*m - m - 61 = -b, -4*b = 3*m - h. Solve 2 - m = 3*n + 5*k, 0 = n - 3*k - 19 for n. 4 Let x(k) = 3*k**3 - k**2 + k - 5. Let t be x(2). Let m = 20 - t. Solve -m*p = 0, r - 4*p + 5 = -0*r for r. -5 Let g = 43 - -76. Suppose g*z = 115*z + 16. Solve -4*b + 4 = -z*x, -3*b + 2*x = -3 - 2 for b. 3 Let n be (-8 - (-228)/36)/((-5)/36). Let l = 12 - 7. Solve -b - l - 4 = -2*x, -x + n = -2*b for b. -5 Let j be 9/(-4)*(-416)/39. Suppose 7*a = 3*a + j. Solve a*s - 4*s = 2*m, -3*s - 5*m = 0 for s. 0 Suppose 3*x = 35*x - 448. Solve -4*s - i + 4 = -6, -2*s + x = -4*i for s. 3 Suppose 0 = 3*r + 3*y - 6, 3*y - 4*y - 1 = -2*r. Solve -4*z + 2 = 3*v - v, -2*v - 5*z + r = 0 for v. 3 Let u(k) = -k**3 + 5*k - 3. Let r be u(3). Let j(o) = -o**2 - 14*o + 23. Let c be j(r). Solve 2*y + 28 = 4*f - 2*y, 0 = -5*f - 4*y + c for f. 4 Let o(k) = k**3 + 6*k**2 - 7*k - 12. Let q be o(-6). Let b be (2/(-3))/((q/(-6))/15). Solve -4*f + 2*f - 5*m = -4, 5*m = f - b for f. 2 Suppose -2*d - 2*t + 142 - 124 = 0, -3*d + t + 11 = 0. Let x = -5 + 12. Solve 0 = 2*v + 2*a + d + x, -v + a = -2 for v. -2 Let j be (-88)/(-4) + 11 + -4. Solve 5*z = -3*p - j, 4*z + 13 = -3*p + 4*p for p. -3 Suppose -3*h = -2*h + 15. Let v(j) = -j**2 - 15*j + 2. Let m be v(h). Solve -g + m*r = 9, 5*r + 10 = -g + 22 for g. -3 Suppose 0 = 5*c + 3*u, 0 = -331*c + 335*c + 2*u. Solve 0 = -3*j - c*j + 4*f - 20, 5*j + 16 = -2*f for j. -4 Suppose 2*q + 26 = 5*f - 0*q, 0 = 3*f + 4*q. Suppose -3*x - 2*y = -5*y, 15 = x + f*y. Solve -5 = -3*m + i - 2*i, -2*m = -x*i - 7 for m. 2 Let y be (-80)/120 + 4/6. Solve 0 = 4*w - 0*w + z - 23, -w + z + 2 = y for w. 5 Let y = 15 + -10. Suppose -2*f + 9 = -0*f - y*z, -3*f = -5*z - 11. Let m(x) = x**2 + x + 4. Let q be m(0). Solve -v + f*c - 20 = -5*v, q*c = -2*v + 16 for v. 4 Let q be 8 + -7 - 10/(-5 + 0). Solve -10 = -q*y - 7, 0 = 2*c + 3*y + 3 for c. -3 Let f(z) = -2*z**2 + 23*z - 6. Let y be f(11). Suppose 5*k = -2*q + 10, 2*q - 3*q - 25 = -y*k. Solve 4*n = -k*d - 36, 2*n - 17 = 2*d + 3*d for n. -4 Suppose 5*i + 3 + 12 = 0. Let m be (-53)/212 - (i/(-4))/(-3). Solve 5*j - v - 5 = m, -4*j + 4 = -2*v - 2*v for j. 1 Let v = 26 - 24. Suppose o + 14 = -2*c, v*c - o = 3*c + 5. Let y(a) = 2*a + 22. Let m be y(c). Solve 0 = -5*n + 4*j, -m*j + 3 = -3*n + 11 for n. -4 Suppose 4*u + 19 = t + 58, -2*t = -5*u + 48. Let p be (6/(-8))/(3/(-12)). Suppose 0*f - p*f = -12. Solve u = -3*j - f*w, -6*j = -2*j + 2*w for j. 2 Suppose -3*d = -2*y + 6, 2*d = 4*d. Let k be (5 + -15 + y)*-1. Solve o - 2*q - k = 0, -27 = -o - 4*o + 2*q for o. 5 Suppose 0 = -5*q + 3*i + 65 - 39, 0 = -3*q + 5*i + 22. Let l(o) = o + 8. Let t be l(-6). Solve -3*n = -5*g + 5, -4*n + 2*n + q*g = t for n. -5 Let y be ((-1)/3)/((348/(-144))/29). Solve 4*c = -y*k - c - 26, -2*c - 4 = 0 for k. -4 Let y be 2/(-9) + 38/9. Suppose 0 = y*g - 20. Suppose -60 = -5*x + x. Solve 0 = 2*p + w + g, 6*p + x = p - 2*w for p. -5 Suppose 5*j + 24 = 2*j. Let o be 155/9 + j/36. Solve -2 = -k - 2*h + 1, -4*k = 3*h - o for k. 5 Suppose 4*g - 8 = 4*t, 0 = 3*t - 6*g + 7*g - 14. Solve 4*a - 4*z - 4 = 0, -a - 3*z + 25 = t*a for a. 4 Let l(i) = 2*i + 16. Let t be l(-8). Suppose -j + 2 = -t. Suppose 0 = -o + j*w + 10, -2*o - 3*w = w + 12. Solve 4*c = 3*v + 2, v + o*v = -2*c + 10 for v. 2 Let t(q) be the third derivative of -q**4/8 - q**3 + 9*q**2. Let h be t(-5). Solve -2*z + 3*r - 5 = 0, 0 = 4*z - 3*r - 2*r + h for z. -1 Let f(u) = u**3 - 8*u**2 + 7*u + 4. Let n be f(7). Suppose 5*v + 11 = 4*g, g = -n*g - 2*v + 22. Solve 5*p = j - 28, g*j - 20 = -j + p for j. 3 Suppose 36*r - 35*r = 2. Solve -7*y = -2*y + 4*c + 22, -r = -2*y + 2*c for y. -2 Let u(f) = -f - 2. Let h(m) = -2*m - 31. Let r(w) = h(w) - 4*u(w). Let b be r(14). Solve -5*g + 5*s = 20, -2*g + b = 3*s - 2 for g. -1 Let m(q) = -6*q**2 - 25*q + 1. Let x be m(-3). Solve 0 = -4*u + 20, u - x = 2*y - 3*u for y. -1 Let o = 23 - 22. Suppose 0 = 2*y + 2*y - 5*z - 47, -3*z - 9 = 0. Solve -y = -4*w, -w = -5*f + o + 2 for f. 1 Suppose 2*s = 8, -26 = -u - 2*u - 5*s. Let c be 1*(12 + 120/(-12)). Solve u = -2*n + 2*q + c*q, -4*n - 1
{ "pile_set_name": "DM Mathematics" }
(166)? -5 Let x(l) = l**2 - 169*l + 332. Determine x(2). -2 Let i(x) = -x**3 + 3*x**2 + 11*x + 53. Calculate i(6). 11 Let f(i) = i**3 + 68*i**2 - 371*i - 505. Determine f(-73). -67 Let t(b) = 3*b**3 - 1076*b**2 + 717*b - 356. Calculate t(358). 2 Let c(f) = 10*f**2 + 80*f + 154. Calculate c(-2). 34 Let y(a) = 25*a**2 + 21*a - 2. Give y(-2). 56 Let w(f) = 18*f + 514. Determine w(-18). 190 Let r(q) = -q**3 + 6*q**2 - 35*q + 115. Calculate r(3). 37 Let t(w) = -5*w**2 - 121*w - 643. Give t(-17). -31 Let i(w) = 2*w**3 - 44*w**2 - 22*w + 126. Give i(23). 678 Let a(w) = w**3 - 14*w**2 - 203*w - 64. Calculate a(23). 28 Let x(t) = -6*t**3 + 5*t**2 - 14*t + 7. Determine x(1). -8 Let a(u) = -450*u + 3143. Give a(7). -7 Let l(a) = a**3 + 19*a**2 + 10*a - 34. Determine l(-18). 110 Let n(f) = -684*f + 26664. Give n(39). -12 Let l(a) = -37*a**2 - 79*a - 19. Give l(-2). -9 Let u(t) = t**3 - 15*t**2 - t + 33. What is u(15)? 18 Let p(x) = 6*x + 188. Give p(-35). -22 Let q(l) = l**2 + 11*l + 75. Give q(-20). 255 Let m(l) = l**2 + 34*l + 24. What is m(-13)? -249 Let y(c) = 3*c**2 - 140*c - 132. Determine y(-1). 11 Let w(v) = -95*v - 3925. Give w(-39). -220 Let f(p) = -68*p - 846. Determine f(-16). 242 Let s(u) = 3*u**2 - 65*u + 16. Determine s(21). -26 Let d(q) = 9*q - 256. Calculate d(32). 32 Let q(p) = -2*p**2 + 26*p - 66. Determine q(7). 18 Let l(j) = 3*j**2 + 207*j + 587. Calculate l(-66). -7 Let f(u) = -3*u**3 + 179*u**2 - 115*u - 255. Determine f(59). -78 Let h(s) = s**3 - 27*s**2 + 132*s - 131. Give h(21). -5 Let c(y) = 2*y**2 + 50*y - 246. Calculate c(-29). -14 Let g(s) = -s**3 - 9*s**2 - 59*s - 1091. Calculate g(-12). 49 Let f(u) = u**2 - 855*u - 6910. What is f(-8)? -6 Let m(l) = -105*l + 2110. Calculate m(20). 10 Let u(n) = 13713*n + 123415. Calculate u(-9). -2 Let b(o) = o**2 - 121*o - 4. Give b(121). -4 Let j(p) = -2*p**3 + 69*p**2 - 455*p + 5. What is j(9)? 41 Let u(h) = -h**2 - 5*h + 14. Give u(7). -70 Let a(g) = 4124*g + 86613. Calculate a(-21). 9 Let u(k) = -9*k**2 + 137*k + 76. Calculate u(16). -36 Let l(n) = n**2 + 6*n - 134. Calculate l(-15). 1 Let x(o) = -3*o + 3. Calculate x(2). -3 Let m(f) = -5*f - 219. Determine m(-21). -114 Let n(g) = -235*g + 7274. Give n(31). -11 Let n(u) = 245*u + 19051. Calculate n(-78). -59 Let d(m) = 25*m**2 + 228*m - 4. Determine d(-9). -31 Let p(k) = 3*k**2 - 2*k - 589. Give p(14). -29 Let h(n) = n**3 - 9*n**2 + 26*n - 77. Determine h(5). -47 Let h(f) = f**2 + 12*f - 1775. Determine h(-49). 38 Let x(v) = -v**3 - v**2 + 24*v - 12. Calculate x(4). 4 Let d(g) = g**3 + 8*g**2 - 24*g - 153. Give d(-8). 39 Let z(y) = -69*y**2 + y + 37. Calculate z(0). 37 Let t(v) = v**2 - 161*v + 279. Calculate t(0). 279 Let t(g) = 61*g - 667. Calculate t(12). 65 Let d(r) = r**3 - 23*r**2 + 22*r - 465. What is d(23)? 41 Let j(s) = -4*s**2 - 8*s + 26. Give j(2). -6 Let n(g) = 5*g**2 + 302*g + 837. Determine n(-3). -24 Let g(o) = -o**2 + 9*o + 243. What is g(20)? 23 Let r(m) = 2*m**2 - 5*m + 22. Calculate r(3). 25 Let m(l) = l**2 + 45*l + 284. Calculate m(-37). -12 Let z(b) = b**3 - 26*b**2 - 168*b + 150. What is z(-6)? 6 Let c(p) = 36*p**2 + 8*p - 9. Determine c(1). 35 Let m(n) = 6*n**3 + 68*n**2 - 207*n - 2. What is m(3)? 151 Let b(m) = 769*m + 4599. What is b(-6)? -15 Let s(u) = -220*u - 1571. Determine s(-6). -251 Let v(c) = -72*c + 3057. Determine v(43). -39 Let m(h) = -h**2 - 15*h - 60. What is m(-7)? -4 Let p(t) = -t**3 - 12*t**2 - 38*t - 10. Give p(-7). 11 Let z(j) = -j**2 - 6*j + 932. What is z(26)? 100 Let s(a) = -2*a**3 - 8*a**2 + 7*a + 7. What is s(-3)? -32 Let c(g) = 7*g**2 - 220*g - 99. Give c(0). -99 Let c(v) = -v**3 + 83*v**2 + 1359*v - 47. Calculate c(97). 50 Let x(i) = -283*i - 628. Calculate x(-3). 221 Let r(w) = -w**3 + 64*w**2 + 228*w - 14589. Give r(64). 3 Let n(r) = r**2 + 16*r - 173. What is n(-22)? -41 Let h(s) = s**3 + 45*s**2 - 1472*s - 11. Give h(22). 33 Let b(c) = c**2 + 40*c + 161. Calculate b(-36). 17 Let f(j) = j**3 - 13*j**2 + 36*j + 7. Calculate f(9). 7 Let c(x) = 1911*x - 30600. Determine c(16). -24 Let w(h) = -3*h - 250. Calculate w(-87). 11 Let o(z) = z**3 + 12*z**2 - 5*z + 338. Give o(-14). 16 Let l(m) = 4209*m + 29460. Give l(-7). -3 Let m(a) = -a**2 - 205*a - 5. Calculate m(0). -5 Let j(v) = v**3 - 23*v**2 + 84*v + 68. What is j(18)? -40 Let t(j) = 21*j + 155. Determine t(-8). -13 Let b(m) = -106*m + 530. Determine b(5). 0 Let h(l) = -114*l - 592. Give h(-5). -22 Let u(d) = -d**2 - 84*d - 1738. Calculate u(-44). 22 Let p(o) = -110*o + 4061. Give p(37). -9 Let v(w) = 93*w + 1113. Calculate v(-11). 90 Let b(o) = -39*o - 6292. What is b(-162)? 26 Let r(z) = -z**2 + 70*z - 809. Give r(55). 16 Let z(j) = -19*j**2 + 10*j - 1. Give z(3). -142 Let z(k) = k**3 + 119*k**2 + 72*k + 8691. Give z(-119). 123 Let h(a) = 156*a - 4666. Give h(30). 14 Let v(h) = 32*h**2 + h + 1. What is v(-1)? 32 Let w(q) = q**2 - 32*q + 153. What is w(33)? 186 Let u(i) = -88*i + 2421. Give u(28). -43 Let z(t) = -t**2 - 376*t + 1443. Give z(4). -77 Let i(f) = 2*f - 427. What is i(-38)? -503 Let o(d) = -d**3 - 8*d**2 + 9*d + 53. Calculate o(-8). -19 Let j(c) = -40*c - 284. What is j(-5)? -84 Let s(d) = d**3 + 10*d**2 + 10*d + 100. Calculate s(-10). 0 Let a(m) = -7*m - 236. What is a(-32)? -12 Let n(u) = -u**2 - 139*u + 40. What is n(0)? 40 Let v(j) = -42*j + 47. Give v(0). 47 Let b(t) = -643*t - 8997. Give b(-14). 5 Let o(r) = 27275*r - 54555. Determine o(2). -5 Let a(v) = -14*v - 217. Give a(-24). 119 Let k(a) = 235*a + 539. Give k(-4). -401 Let j(b) = 191*b**2 - 947*b - 49. What is j(5)? -9 Let o(d) = -d**3 + 15*d**2 + 456*d - 211. Determine o(30). -31 Let g(t) = -t**3 - 17*t**2 + 37*t + 89. Calculate g(-18). -253 Let f(m) = 62*m - 9423. Determine f(152). 1 Let o(l) = -30*l**2 - 482*l + 18. Calculate o(-16). 50 Let t(k) = -k**3 - 31*k**2 - 61*k - 103. What is t(-29)? -16 Let t(g) = g**3 + 15*g**2 - 29*g - 596. Give t(-14). 6 Let b(n) = -3*n**3 - 120*n**2 - 135*n - 707. Determine b(-39). -5 Let r(b) = -4*b**3 + b**2 - 43*b - 182. Give r(-4). 262 Let n(d) = -d**3 + 24*d**2 - 77*d + 32. Calculate n(20). 92 Let t(b) = b**2 - 17*b + 5. Determine t(17). 5 Let i(r) = 290*r - 11611. Determine i(40). -11 Let u(d) = 1074*d + 8666. Determine u(-8). 74 Let h(u) = -35*u + 1740. What is h(55)? -185 Let b(j) = -j**3 + 113*j**2 - 377*j - 6418. Calculate b(109). 13 Let a(h) = 14*h**2 - 48*h - 76. Determine a(4). -44 Let s(k) = 5*k - 34. Calculate s(8). 6 Let o(u) = 4*u**3 - 31*u**2 - 4*u + 56. Determine o(8). 88 Let i(h) = -4*h**2 - 11*h + 83. What is i(-7)? -36 Let l(o) = -2*o + 11. What is l(32)? -53 Let d(c) = 4*c**2 - c - 14. Give d(6). 124 Let t(i) = -i**3 + 13*i**2 + 144*i - 87. Calculate t(20). -7 Let x(s) = 112*s - 10866. Give x(97). -2 Let w(h) = 7*h + 3. Determine w(-5). -32 Let l(u) = 2*u**3 - 4*u**2 + 2*u - 6. What is l(5)? 154 Let o(t) = t**2 + 210*t + 9337. Determine o(-146). -7 Let f(y) = -y**3 + 42*y**2 - 392*y + 7. Determine f(14). 7 Let m(d) = 3*d**3 - 334*d**2 - 225*d + 108. What is m(112)? -4 Let i(s) = s**2 + 9*s - 417. What is i(-25)? -17 Let o(d) = -d**3 + 17*d**2 - 41*d + 17. Give o(14). 31 Let x(s) = 60*s**3 + s**2 - 2*s + 2. Give x(1). 61 Let q(h) = -h**2 - 9*h + 38. Determine q(3). 2 Let t(w) = 19*w**2 - 405*w + 1805. What is t(15)? 5 Let g(m) = 247*m**2 - 79*m + 81. Give g(1). 249 Let g(u) = -u**3 + 4*u**2 + 21*u - 58. Determine g(6). -4 Let z(s) = -3*s**3 + 3*s**2 - 4*s + 1. Give z(1). -3 Let k(s) = 184*s + 163. Determine k(-6). -941 Let p(z) = -40*z - 37. What is p(-14)? 523 Let c(l) = -467*l + 22894. Give c(49). 11 Let t(s) = -4*s**3 + 83*s**2 - 63*s - 3. What is t(20)? -63 Let b(a) = -2510*a + 7509. Calculate b(3). -21 Let n(a) = -4*a**3 + 26*a**2 - 10*a - 5. What is n(6)? 7 Let m(h) = h**3 - 9*h**2 + 10*h - 6. Give m(9). 84 Let y(j) = -424*j - 17798. What is y(-42)? 10 Let g(d) = d**3 - 41*d**2 + 19*d + 873. Calculate g(40). 33 Let s(d) = d**3 - d**2 - 369*d - 225. Calculate s(20). -5 Let d(g) = -33*g - 209. What is d(-8)? 55 Let w(b) = 1101*b + 3297. Determine w(-3). -6 Let b(d) = -13*d**3 + 9*d**2 - 21*d + 5. Calculate b(2). -105 Let b(k) = -2*k**3 + 48*k**2 - 34*k - 333. Give b(23). -57 Let x(t) = t**3 + 7*t**2 - 554*t + 279. What is x(20)? -1 Let b(w) = -390*w**2 - 780*w + 12. What is b(-2)? 12 Let l(t) = -t*
{ "pile_set_name": "DM Mathematics" }
False Is 0.5 less than or equal to -1560? False Are -19010 and -19009 unequal? True Is 235 at least as big as 235? True Do -222 and -10 have the same value? False Is 2/5 at least -2? True Which is smaller: 2/20545 or -1? -1 Is -1 <= 1/1985? True Is 0 less than 273? True Is 4160 greater than or equal to 4160? True Is 751 <= 749? False Which is smaller: 752 or 0? 0 Which is smaller: -1 or -4/1173? -1 Which is smaller: 5/12 or -116? -116 Is 76 < 80? True Which is bigger: 0 or -1/768? 0 Which is bigger: -97/23 or -4? -4 Is 382 at least 383? False Is -1/11 equal to 16/33? False Which is greater: 28 or 2/97? 28 Which is smaller: 0.018 or 1/2? 0.018 Which is greater: 235 or -0.09? 235 Is 7/1304 < -1? False Is -13906/9 smaller than -1544? True Is -468 < -466? True Is -11 <= -1/9? True Which is smaller: -162 or -164? -164 Is 67 >= 67? True Which is smaller: 0 or 0.178? 0 Which is bigger: 0 or 2/15879? 2/15879 Is -10 bigger than 0.11? False Which is smaller: 16/237 or 0? 0 Which is bigger: -361 or -9054/25? -361 Which is greater: 19 or -113? 19 Is 16/37 at most as big as 9/8? True Is -1 bigger than -2/5791? False Which is bigger: 76 or 73? 76 Do -10 and 85 have the same value? False Are 46 and 47 nonequal? True Is 2/89 bigger than 0? True Is 0 at most as big as -2.38? False Is 85 at least as big as -197? True Is -482 equal to -481? False Is 3/1291 not equal to -1? True Which is smaller: -1 or -12/8221? -1 Which is greater: 7 or 26? 26 Which is bigger: -14/275 or 1? 1 Which is greater: 155 or 160? 160 Which is smaller: -5/294 or 0? -5/294 Is -889 < -892? False Which is smaller: -12230 or -12231? -12231 Which is smaller: 1885/6 or 315? 1885/6 Is -167 smaller than 25? True Which is bigger: 0 or -3/1253? 0 Is 61 at least 45? True Is -6/1627 less than 1? True Which is smaller: 5/117 or 0? 0 Is 49 less than -3/23? False Which is smaller: -657 or 0? -657 Which is smaller: -30/47 or -2? -2 Is 7/437 equal to 0? False Is -26/3 <= 9? True Is -295/131 less than -1? True Is 11/23 at least 0? True Is 1/515 bigger than -1? True Which is greater: -0.1 or -33.1? -0.1 Is 1.8 at most -36? False Which is smaller: 0 or 1/69? 0 Does 387 = 386? False Which is smaller: -708 or -707? -708 Is 1847 >= 1852? False Do -2236/11 and -202 have the same value? False Which is greater: 618 or 621? 621 Which is bigger: -9648 or -0.1? -0.1 Are 1116 and 1116 unequal? False Which is smaller: -16 or 2/7? -16 Are 80 and -1 non-equal? True Are 200 and 204 nonequal? True Which is greater: 10 or 61/6? 61/6 Which is smaller: 14/15 or 1/4? 1/4 Do 0 and 2/2087 have different values? True Does 324 = 326? False Which is smaller: 2 or 33/17? 33/17 Which is bigger: 206/175 or 1? 206/175 Do 440 and -2 have the same value? False Does -64/9 = -6? False Which is greater: -23 or -8? -8 Is -65/7 at least -8? False Is 12775 < 12776? True Is 669 >= 673? False Is -7.8 > -12? True Which is smaller: -15013 or -15012? -15013 Which is greater: 0 or 20/57? 20/57 Is 1614 smaller than 1614? False Is 0.1 less than 149? True Which is smaller: 1319 or 1320? 1319 Is 0 at least as big as 1/252? False Is 2786 less than 2789? True Is 10/123 less than -1? False Do 1 and -5/29 have the same value? False Which is bigger: 0.1 or 0.11348? 0.11348 Which is smaller: -5 or -11/3? -5 Do -59 and 0.215 have the same value? False Which is smaller: 3 or 29/15? 29/15 Is -1/5 at most -0.26? False Which is bigger: 3/551 or 1? 1 Which is smaller: 33 or 32? 32 Which is bigger: 1 or -2216? 1 Is 4/793 less than or equal to -1? False Is 2/329 equal to 1? False Which is smaller: -0.27 or 0.106? -0.27 Which is bigger: 0.1 or 886? 886 Which is bigger: 168 or 171? 171 Which is smaller: 2/129 or 0? 0 Which is smaller: 2 or -0.098? -0.098 Which is bigger: 0 or 7623? 7623 Which is greater: -87 or -1810/21? -1810/21 Which is smaller: 2 or 75? 2 Which is greater: -0.09 or 31? 31 Is 1 < 14/181? False Does -6170 = -6170? True Is -71/144 greater than or equal to -1? True Do 0 and -149 have the same value? False Are -22/3 and -1/4 non-equal? True Which is smaller: -1678 or -1673? -1678 Is -5653 less than or equal to -5653? True Is -1/6 bigger than 1.4? False Which is greater: 1 or 65? 65 Which is smaller: 2/1411 or 0? 0 Are -702 and -700 unequal? True Which is bigger: 0.1586 or 1.5? 1.5 Which is bigger: 1 or -116? 1 Which is bigger: 41 or 38? 41 Is 34 != 69/2? True Which is bigger: 32 or 978/31? 32 Which is smaller: -0.2 or -4.819? -4.819 Are -1198 and -1197 equal? False Is -282/5 < -57? False Which is greater: 31 or 275/9? 31 Is -771 > -0.02? False Which is greater: -20078 or -20077? -20077 Is -52973 smaller than -52972? True Is 1/41082 greater than or equal to 1? False Is 212 <= 214? True Is -25600 at most as big as -25600? True Which is greater: 352 or 353? 353 Which is bigger: -1361 or -1362? -1361 Which is smaller: 163/14 or 13? 163/14 Which is bigger: 145 or 729/5? 729/5 Is -1525 greater than -1526? True Which is bigger: 318 or 317? 318 Is 3 > -1/87? True Which is smaller: -15 or -374/27? -15 Which is smaller: -2811 or -2808? -2811 Which is smaller: 3/404 or -1? -1 Which is smaller: -4.7 or 2/31? -4.7 Which is smaller: 55 or 54? 54 Which is smaller: -273 or -268? -273 Which is smaller: -1 or -2/29? -1 Is -9.043 > -0.2? False Are 0.4 and 3/38 unequal? True Which is smaller: 1/2360 or 0? 0 Is -47/5 at least -7/15? False Is -4790 less than -4789? True Do -846 and -847 have the same value? False Which is bigger: -2/349 or 1? 1 Which is bigger: -12 or 5/3? 5/3 Is -3 < 109? True Which is bigger: 4 or 76/23? 4 Are 38/83 and -2 nonequal? True Which is smaller: -3/2 or 249? -3/2 Is -63 < -63? False Which is bigger: 1 or -57/244? 1 Is 1 < -2/681? False Is 0 <= -2/12141? False Which is smaller: -1/4 or -2/3? -2/3 Which is bigger: 30/917 or 0? 30/917 Which is smaller: 0.1 or 499? 0.1 Which is smaller: 0 or -4/157? -4/157 Which is smaller: -793 or -794? -794 Is -35/13 greater than -3? True Which is smaller: 0.1 or -14838? -14838 Which is greater: 654 or 656? 656 Which is smaller: -1/5 or -94/7? -94/7 Is 0 <= 2/63? True Is -3 bigger than -32? True Which is bigger: 492/101 or 5? 5 Which is greater: 0 or 0.566? 0.566 Which is greater: 1 or 1229? 1229 Which is bigger: -248 or -264? -248 Which is smaller: -6806 or -6807? -6807 Which is greater: -25/4 or -0.3? -0.3 Which is greater: -63 or -0.5? -0.5 Is 1344 less than 1346? True Which is smaller: 28 or 195/7? 195/7 Which is greater: -15 or -13? -13 Which is bigger: -355 or -360? -355 Which is greater: 6863 or 6865? 6865 Which is smaller: 211 or 3588/17? 211 Which is smaller: -3/4 or -3/16? -3/4 Which is greater: 1356 or 1357? 1357 Which is bigger: 7464 or 0? 7464 Which is bigger: 804 or 806? 806 Does -137 = -136? False Which is greater: 16 or 17? 17 Is -241 smaller than 1? True Are -2 and -49 equal? False Which is greater: -997 or -2.1? -2.1 Which is smaller: -2/323 or 0? -2/323 Is 167 != 165? True Which is smaller: 1 or 182/249? 182/249 Is 637 > 1? True Is -1453 at most -1434? True Which is smaller: -756/11 or -68? -756/11 Which is bigger: 1 or -90/253? 1 Which is smaller: -1076 or -1080? -1080 Is -4 != -19/4? True Which is smaller: -1414 or 0.4? -1414 Is -152 bigger than -153? True Which is bigger: -2/19 or 0.05? 0.05 Which is smaller: 2914 or 2913? 2913 Which is smaller: 16175 or 16174? 16174 Is -41/3 greater than or equal to -14? True Which is smaller: -14/3 or -12? -12 Are 1224 and 1225 nonequal? True Do 32 and 45 have different values? True Which is smaller: -132 or 12.5? -132 Is -18 < -247/14? True Which is smaller: 9400 or 9399? 9399 Is 6/731 greater than -1? True Is -653 at least 0? False Is -4/213 != 1? True Are 1.66 and -8 equal? False Which is greater: 1 or 21/164? 1 Which is bigger: 3 or 64/21? 64/21 Do 0.13 and 2/4373 have the same value? False Is 235 greater than 236? False Are -2/13559 and 1 nonequal? True Are 0.2 and -402 nonequal? True Which is smaller: 0.14 or 42/31? 0.14 Is 2/3 less than 1310? True Which is smaller: -3 or 33? -3 Which is greater: -0.8 or 128? 128 Which is bigger: 11 or 10? 11 Is -1883 less than -1883? False Is 186 > 173? True Is -0.35 equal to -2/21? False Is 1 > 10/69? True Which is smaller: -2/110335 or 1? -2/110335 Is -8/3195 at most 1? True Which is greater: 11283 or 11281? 1
{ "pile_set_name": "DM Mathematics" }
terms in -587878*x - 337165*x - 130051*x. -1055094*x Collect the terms in -391*y + 82*y - 20*y + 2*y**2 + 18*y. 2*y**2 - 311*y Collect the terms in 3*p**3 - 13333*p - 13334*p + 40086*p - 13419*p. 3*p**3 Collect the terms in -12709*l + 8416*l**2 + 59359*l**2 + 12709*l. 67775*l**2 Collect the terms in 54*z**3 + 72 + 80 + 118*z**3. 172*z**3 + 152 Collect the terms in -8033*s**3 + 2*s**2 + 8031*s**3 + 21117 - 21117. -2*s**3 + 2*s**2 Collect the terms in 50443*b - 25191*b - 4*b**2 - 25252*b - 4*b**2 - 6*b**2. -14*b**2 Collect the terms in -1824*h - 1831*h + 5469*h - 1823*h. -9*h Collect the terms in -15*y**3 - 24283*y + 72849*y + 115*y**3 - 24283*y - 24283*y. 100*y**3 Collect the terms in -65172*v - 36099*v - 279351*v. -380622*v Collect the terms in 17684*p**2 + 17314*p**2 + 36679*p**2 - 12260*p**2 + 6480*p**2. 65897*p**2 Collect the terms in 1562*s - 3114*s + 3 + 1559*s - 3. 7*s Collect the terms in -21444*x**3 + 13497*x**3 - 32034*x**3. -39981*x**3 Collect the terms in 12494*m**2 - 10936*m**2 + 4*m + 76399*m**2 + 84633*m**2. 162590*m**2 + 4*m Collect the terms in -x - 1793*x**2 + 1934*x**2 - 123*x**2 + 4 - 4. 18*x**2 - x Collect the terms in 151*p - 844*p - 20*p**3 + 228*p + 232*p + 233*p. -20*p**3 Collect the terms in 52*h - 14355 - 99*h + 0*h**2 - h**2 + 41*h. -h**2 - 6*h - 14355 Collect the terms in 1579 + 1205*a**2 - 832 - 1209*a**2 - 747. -4*a**2 Collect the terms in 27*b + 30 + 28 - 4*b - 94 + 36 - 25*b. -2*b Collect the terms in 292354025*c**2 + 292352484*c**2 - 584706511*c**2. -2*c**2 Collect the terms in -140 + 40842*m**3 - 40843*m**3 - 416. -m**3 - 556 Collect the terms in -243*p**2 - p + 255*p**2 - 3*p + 6*p - 32 - 22. 12*p**2 + 2*p - 54 Collect the terms in -151*y + 474 + 555 - 284 - 143*y + 1049 + 297*y. 3*y + 1794 Collect the terms in 4*k - 7347922*k**2 + 7350505*k**2 - 4*k. 2583*k**2 Collect the terms in -9708*h**2 - 7864 + 4992*h**2 + 4710*h**2 + 7864. -6*h**2 Collect the terms in -i**2 + i**2 + 91503938*i**3 - 45751944*i**3 - 45751983*i**3. 11*i**3 Collect the terms in 1644741*n**2 - 3293528*n**2 + 1648790*n**2. 3*n**2 Collect the terms in 2483397 - 248*p + 487*p - 226*p - 2483397. 13*p Collect the terms in -75309530*v + 1777402372*v - 193844345*v. 1508248497*v Collect the terms in -6202*l**3 + 2 - 6013*l**3 + 12205*l**3. -10*l**3 + 2 Collect the terms in 94*q**2 - 689 - 186*q**2 + 100*q**2 - 2*q**2 + 689. 6*q**2 Collect the terms in 1 - 16*l**3 - 140*l + 48*l**2 + 13*l**3 + 5*l**3 - 68*l. 2*l**3 + 48*l**2 - 208*l + 1 Collect the terms in 8*f**3 - 79*f**3 - 30*f**3 + 109*f**3. 8*f**3 Collect the terms in -169*v**3 + 4*v + v + 0*v - 9*v. -169*v**3 - 4*v Collect the terms in -51 + 3*q - 52 - q - 70 + 258 - 59. 2*q + 26 Collect the terms in 242*z**3 + 875376776*z - 215*z**3 - 875376776*z. 27*z**3 Collect the terms in -2473000*i**2 + 116649*i**2 - 4754144*i**2. -7110495*i**2 Collect the terms in 41*z**2 + 73*z**2 + 16*z**2 + 38*z**2 - 26*z**2. 142*z**2 Collect the terms in 2491111*x**2 + 1067545*x**2 + 3408556*x**2 - 268538*x**2. 6698674*x**2 Collect the terms in 18*o - 98696 + 98715 - 40*o. -22*o + 19 Collect the terms in -710634*i - 710681*i + 1421251*i. -64*i Collect the terms in -705*n**3 - 6107*n**3 - 957*n**3 - 8515*n**3. -16284*n**3 Collect the terms in 175 - 7735 + 167*s**2 - 170*s**2. -3*s**2 - 7560 Collect the terms in 9 - 19 + 3 + 111*h - 80*h - 18. 31*h - 25 Collect the terms in -4 - 3309*m + 3154*m + 146*m - 1 + 5. -9*m Collect the terms in -6339*g**3 + 16243*g**3 - 9906*g**3. -2*g**3 Collect the terms in -5*t + 1486*t**2 - 4*t + 27*t - 10*t - 3*t. 1486*t**2 + 5*t Collect the terms in 11702387*k + 3*k**2 + 10 - 11702387*k. 3*k**2 + 10 Collect the terms in 218 + 24*f**3 + 2*f**3 + 15*f**3 - 36*f**3. 5*f**3 + 218 Collect the terms in 2*x + 266842*x**2 - 3 + 2 - 266840*x**2. 2*x**2 + 2*x - 1 Collect the terms in -53*n - 6277 - 4377 - 29757 + 787. -53*n - 39624 Collect the terms in -775 - 57*t**3 + 21*t**3 + 14*t**3 + 773. -22*t**3 - 2 Collect the terms in 2 + 15516*w**2 + 15525*w**2 - 31041*w**2 - 745*w**3 - 2. -745*w**3 Collect the terms in -14*z - 4*z + 522 + 3*z - 14*z + 31*z - 485. 2*z + 37 Collect the terms in 32*c**3 + 75*c + c - 30*c - 46*c - 28*c**3. 4*c**3 Collect the terms in -8*h**2 + 100 - 120 + 142 - 122. -8*h**2 Collect the terms in 181*t + 1598*t**2 - 9 + 9. 1598*t**2 + 181*t Collect the terms in 79 + 70 - 226 + 75 + 28*w**3 + 54*w**3 - 16*w**3. 66*w**3 - 2 Collect the terms in -62*n**2 - 163*n**2 - 39*n**2 - 43*n**2 + 288*n**2. -19*n**2 Collect the terms in -375*t + 20356*t + 12547*t. 32528*t Collect the terms in 1 - 231*j**2 + 137*j**2 + 95*j**2 + 65*j**2 - 1 + 2. 66*j**2 + 2 Collect the terms in -55150141 + 110300285 + 33*h - 55150144. 33*h Collect the terms in -976*u**3 + 150*u**3 + 794*u**3. -32*u**3 Collect the terms in 258040*a**3 + 257899*a**3 - 773831*a**3 + 257900*a**3. 8*a**3 Collect the terms in -1562142784052 + 1562142784052 - z. -z Collect the terms in 1041*v**2 + 83*v**2 - 279*v**2 - 300*v**2 - 273*v**2 - 273*v**2. -v**2 Collect the terms in 46*w - 85*w + 39*w + 927813*w**2. 927813*w**2 Collect the terms in -33474 + 183660*v + 33474 + 183660*v - 367316*v. 4*v Collect the terms in -172185*z + 172104*z - 2345 + 2345. -81*z Collect the terms in -18585*x**2 + x + 6186*x**2 - x + 6207*x**2 + 6204*x**2. 12*x**2 Collect the terms in 2863 + 2340 - 3*t - 13793 + 2866 + 2861 + 2863. -3*t Collect the terms in 170*k - 58*k - 51*k - 127548*k**3 - 61*k. -127548*k**3 Collect the terms in 40 - 11*c - 18*c**3 + 38 - 78 + c. -18*c**3 - 10*c Collect the terms in 89 + 89 + 1029*j**2 - 1154*j**2 - 177. -125*j**2 + 1 Collect the terms in 38*n**3 + 48*n**3 + 355*n**3 + 48*n**3 + 43*n**3 - 577*n**3 + 46*n**3. n**3 Collect the terms in 44*t**2 - 3 + 159*t + 18*t**2 + 22*t**2 - 160*t + 74*t**2. 158*t**2 - t - 3 Collect the terms in -65*u**2 + 7477541*u - 7477876*u - 36*u**2. -101*u**2 - 335*u Collect the terms in -479*u - 10316*u - 4416*u. -15211*u Collect the terms in -647*a**3 - 642*a**3 - 625*a**3 - 645*a**3 + 2583*a**3. 24*a**3 Collect the terms in -54 + 18 - 83 + 212*v - 29*v + 95*v. 278*v - 119 Collect the terms in 28071*h**2 + 56882*h**2 + 1796*h**2. 86749*h**2 Collect the terms in -136*a**2 + 286*a**2 - 308*a**2 + 154*a**2. -4*a**2 Collect the terms in -32308*w + 10207*w + 11051*w + 2*w**2 + 5*w**2 + 11050*w - 6*w**2. w**2 Collect the terms in -9*q - 13159*q**2 + 20896 + 9*q - 20896. -13159*q**2 Collect the terms in -67*k - 3981 + 3929 + 34*k. -33*k - 52 Collect the terms in 35 - 115284*u - 35 + 115111*u. -173*u Collect the terms in -179310*i + 358599*i + 30*i**3 + 0*i**3 - 179288*i. 30*i**3 + i Collect the terms in -2 - 8*v**3 + 4 - 1620*v**2 - 2 + 1618*v**2. -8*v**3 - 2*v**2 Collect the terms in -217 + 665 - 214 - 14*r + 8*r - 224. -6*r + 10 Collect the terms in -461*x**3 - 3687*x + 0*x**2 + 3*x**2 + 3685*x - 2*x**2 - x**2. -461*x**3 - 2*x Collect the terms in -19232 + 11985*h**3 + 9618 + 9614. 11985*h**3 Collect the terms in -8789*y + 19732*y + 43232*y + y**2 - 1. y**2 + 54175*y - 1 Collect the terms in 555287*y - 555287*y - 29*y**2. -29*y**2 Collect the terms in -113*l**2 + 119244061 - 119244061. -113*l**2 Collect the terms in 47030785*n**3 - 94060554*n**3 + 47029770*n**3. n**3 Collect the terms in -16147*i - 14853*i + 31000*i - 6*i**3. -6*i**3 Collect the terms in -71287*s**3 + 163 - 162 + 11646*s**3. -59641*s**3 + 1 Collect the terms in -2853*z**2 - 3220*z**3 + 2853*z**2 - 1317*z**3 + 490*z**3. -4047*z**3 Collect the terms in -157*l - 54*l + 12 + 4*l + 52*l. -155*l + 12 Collect the terms in -104*v + 11236 + 4332 + 767 + 1106 + 105*v. v + 17441 Collect the terms in 1627*z + 1801*z + 2289*z - 910*z. 4807*z Collect the terms in 117 + 72*p**2 - 29 - 59 - 29 + 85*p**2 - 160*p**2. -3*p**2 Collect the terms in 29*i**3 + 9306*i + 8475*i + 9300*i - 27081*i. 29*i**3 Collect the terms in -76*s**2 + 5015*s - 5012*s - 10*s**3 + 76*s**2 + 0*s**3. -10*s**3 + 3*s Collect the terms in -44 - q - 41 + 178 - 44 - 10 - 38. -q + 1 Collect the terms in -309*n**2 - 712*n**2 - 323*n**2 - 92*n**2 + 233*n**2. -1203*n**2 Collect the terms in 8*a + 8*a - 3*a - 104*a + 99*a + 14*a. 22*a Collect the terms in 959*l**3 - 1737*l**2 + 101*l**3 + 1737*l**2. 1060*l**3 Collect the terms in -594*m**2 + 13*m**3 + 194046 + 594*m**2 - 194046.
{ "pile_set_name": "DM Mathematics" }
ors of 100? 2, 5 List the prime factors of 63011. 13, 37, 131 List the prime factors of 61447. 43, 1429 What are the prime factors of 13500? 2, 3, 5 List the prime factors of 1048. 2, 131 What are the prime factors of 3444? 2, 3, 7, 41 List the prime factors of 2326. 2, 1163 List the prime factors of 2324. 2, 7, 83 List the prime factors of 4463. 4463 List the prime factors of 12685. 5, 43, 59 List the prime factors of 1162. 2, 7, 83 What are the prime factors of 85? 5, 17 What are the prime factors of 3621? 3, 17, 71 What are the prime factors of 438? 2, 3, 73 List the prime factors of 315. 3, 5, 7 List the prime factors of 9311. 9311 What are the prime factors of 716? 2, 179 List the prime factors of 1025. 5, 41 What are the prime factors of 58127? 37, 1571 What are the prime factors of 78104? 2, 13, 751 List the prime factors of 2204. 2, 19, 29 List the prime factors of 26938. 2, 13469 List the prime factors of 215. 5, 43 List the prime factors of 1790. 2, 5, 179 List the prime factors of 18360. 2, 3, 5, 17 What are the prime factors of 3298? 2, 17, 97 List the prime factors of 3753. 3, 139 What are the prime factors of 10160? 2, 5, 127 List the prime factors of 17362. 2, 8681 List the prime factors of 49579. 43, 1153 List the prime factors of 6513. 3, 13, 167 What are the prime factors of 4163? 23, 181 What are the prime factors of 355? 5, 71 List the prime factors of 1583. 1583 What are the prime factors of 159? 3, 53 List the prime factors of 8745. 3, 5, 11, 53 What are the prime factors of 36525? 3, 5, 487 What are the prime factors of 36851? 43, 857 What are the prime factors of 1606? 2, 11, 73 List the prime factors of 126371. 7, 2579 List the prime factors of 1575. 3, 5, 7 List the prime factors of 1550. 2, 5, 31 List the prime factors of 14. 2, 7 List the prime factors of 48035. 5, 13, 739 List the prime factors of 17356. 2, 4339 List the prime factors of 27593. 41, 673 List the prime factors of 1112. 2, 139 List the prime factors of 1115. 5, 223 List the prime factors of 2713. 2713 List the prime factors of 2626. 2, 13, 101 List the prime factors of 127875. 3, 5, 11, 31 What are the prime factors of 24150? 2, 3, 5, 7, 23 List the prime factors of 1233. 3, 137 List the prime factors of 7310. 2, 5, 17, 43 What are the prime factors of 3277? 29, 113 What are the prime factors of 10174? 2, 5087 What are the prime factors of 800? 2, 5 List the prime factors of 50176. 2, 7 List the prime factors of 13658. 2, 6829 What are the prime factors of 30500? 2, 5, 61 What are the prime factors of 578? 2, 17 List the prime factors of 1483. 1483 What are the prime factors of 41111? 7, 839 List the prime factors of 268. 2, 67 List the prime factors of 266. 2, 7, 19 List the prime factors of 13166. 2, 29, 227 List the prime factors of 1768. 2, 13, 17 What are the prime factors of 181? 181 What are the prime factors of 5891? 43, 137 What are the prime factors of 13255? 5, 11, 241 What are the prime factors of 2813? 29, 97 What are the prime factors of 28569? 3, 89, 107 What are the prime factors of 2640? 2, 3, 5, 11 List the prime factors of 996. 2, 3, 83 List the prime factors of 103. 103 What are the prime factors of 5258? 2, 11, 239 List the prime factors of 6234. 2, 3, 1039 What are the prime factors of 513? 3, 19 What are the prime factors of 997? 997 List the prime factors of 3279. 3, 1093 What are the prime factors of 1053? 3, 13 List the prime factors of 11287. 11287 List the prime factors of 4900. 2, 5, 7 What are the prime factors of 2002? 2, 7, 11, 13 List the prime factors of 1106. 2, 7, 79 What are the prime factors of 1205? 5, 241 What are the prime factors of 24033? 3, 8011 What are the prime factors of 25901? 59, 439 What are the prime factors of 3908? 2, 977 What are the prime factors of 2364? 2, 3, 197 What are the prime factors of 3256? 2, 11, 37 What are the prime factors of 486? 2, 3 List the prime factors of 6605. 5, 1321 List the prime factors of 6783. 3, 7, 17, 19 What are the prime factors of 2703? 3, 17, 53 List the prime factors of 6217. 6217 List the prime factors of 4022. 2, 2011 List the prime factors of 10263. 3, 11, 311 List the prime factors of 5939. 5939 What are the prime factors of 5226? 2, 3, 13, 67 List the prime factors of 327. 3, 109 What are the prime factors of 8294? 2, 11, 13, 29 What are the prime factors of 147685? 5, 29537 What are the prime factors of 20178? 2, 3, 19, 59 What are the prime factors of 838? 2, 419 What are the prime factors of 4852? 2, 1213 What are the prime factors of 874? 2, 19, 23 What are the prime factors of 5110? 2, 5, 7, 73 List the prime factors of 53999. 11, 4909 What are the prime factors of 2984? 2, 373 What are the prime factors of 44994? 2, 3, 7499 List the prime factors of 2505. 3, 5, 167 What are the prime factors of 2118? 2, 3, 353 What are the prime factors of 14129? 71, 199 What are the prime factors of 8926? 2, 4463 What are the prime factors of 78508? 2, 19, 1033 List the prime factors of 27009. 3, 3001 What are the prime factors of 129898? 2, 107, 607 What are the prime factors of 830? 2, 5, 83 What are the prime factors of 6182? 2, 11, 281 List the prime factors of 4978. 2, 19, 131 What are the prime factors of 1825? 5, 73 What are the prime factors of 16752? 2, 3, 349 List the prime factors of 109740. 2, 3, 5, 31, 59 List the prime factors of 3854. 2, 41, 47 What are the prime factors of 81265? 5, 16253 List the prime factors of 2243. 2243 List the prime factors of 4098. 2, 3, 683 List the prime factors of 11. 11 What are the prime factors of 2717? 11, 13, 19 What are the prime factors of 72266? 2, 23, 1571 List the prime factors of 58959. 3, 6551 What are the prime factors of 865? 5, 173 What are the prime factors of 113056? 2, 3533 List the prime factors of 3280. 2, 5, 41 List the prime factors of 728. 2, 7, 13 What are the prime factors of 1460? 2, 5, 73 List the prime factors of 354. 2, 3, 59 What are the prime factors of 12349? 53, 233 What are the prime factors of 96282? 2, 3, 1783 List the prime factors of 1686. 2, 3, 281 List the prime factors of 87040. 2, 5, 17 What are the prime factors of 384? 2, 3 List the prime factors of 1543. 1543 List the prime factors of 555. 3, 5, 37 List the prime factors of 4304. 2, 269 What are the prime factors of 19883? 59, 337 What are the prime factors of 70298? 2, 35149 List the prime factors of 2141. 2141 List the prime factors of 101377. 101377 What are the prime factors of 25944? 2, 3, 23, 47 What are the prime factors of 675? 3, 5 List the prime factors of 7136. 2, 223 List the prime factors of 670. 2, 5, 67 What are the prime factors of 24709? 24709 List the prime factors of 502. 2, 251 What are the prime factors of 2812? 2, 19, 37 What are the prime factors of 588? 2, 3, 7 List the prime factors of 26779. 61, 439 List the prime factors of 8923. 8923 List the prime factors of 8761. 8761 What are the prime factors of 35356? 2, 8839 What are the prime factors of 5354? 2, 2677 What are the prime factors of 3466? 2, 1733 List the prime factors of 2872. 2, 359 What are the prime factors of 7442? 2, 61 What are the prime factors of 959? 7, 137 What are the prime factors of 43375? 5, 347 List the prime factors of 1408. 2, 11 What are the prime factors of 50256? 2, 3, 349 What are the prime factors of 19079? 19079 List the prime factors of 37472. 2, 1171 List the prime factors of 1640. 2, 5, 41 What are the prime factors of 13504? 2, 211 What are the prime factors of 33122? 2, 16561 List the prime factors of 5149. 19, 271 What are the prime factors of 13757? 13757 What are the prime factors of 4541? 19, 239 What are the prime factors of 973? 7, 139 List the prime factors of 912. 2, 3, 19 List the prime factors of 11417. 7, 233 What are the prime factors of 89909? 89909 What are the prime factors of 346? 2, 173 What are the prime factors of 1595? 5, 11, 29 List the prime factors of 18712. 2, 2339 List the prime factors of 602. 2, 7, 43 List the prime factors of 8052. 2, 3, 11, 61 List the prime factors of 1582. 2, 7, 113 What are the prime factors of 13939? 53, 263 What are the prime factors of 495? 3, 5, 11 List the prime factors of 2416. 2, 151 List the prime factors of 1236. 2, 3, 103 What are the prime factors of 4265?
{ "pile_set_name": "DM Mathematics" }
(7/(168/3))? 4 ((-6)/5)/(((-3)/10)/(-1)) -4 ((-78)/104)/((2/2)/8) -6 Evaluate ((-36)/216)/(16/36). -3/8 (2*10/2)/((-54)/27) -5 (8/(-16))/(((-108)/8)/3) 1/9 (-6)/(36/(-6))*3/(-3) -1 (-5)/(5/(-1))*7 7 What is the value of ((-20)/(-30))/((-8)/6)*-10? 5 6*5*5/(-525) -2/7 -14*49/(-28)*4/(-14) -7 What is the value of (2/2)/(((-110)/(-50))/11)? 5 1/((-7)/(-4))*70/100 2/5 What is ((57/(-3))/(-19))/(1/(-7))? -7 Calculate ((-4)/10)/((-98)/(-1715)). -7 What is ((-2)/(-6))/((-2)/(-18))? 3 (-3)/(-1)*7/35 3/5 What is (0/(-1))/(42/(-21))? 0 ((28/8)/(-1))/((-1)/(-2)) -7 What is the value of 28/21*3/(-168)*-6? 1/7 Evaluate 35/14*6/5. 3 What is the value of ((-15)/40)/(9/3)*-4? 1/2 1/3*(-9)/(-6) 1/2 Calculate ((-159)/(-212))/(3/7). 7/4 Evaluate (-3*(-1)/10)/(6/4). 1/5 Calculate (4/95)/(3/(30/4)). 2/19 (-12)/5*11*(-180)/(-594) -8 Evaluate ((-4)/(-10))/((-16)/40). -1 What is the value of (-3)/(-20)*128/48? 2/5 (6/4)/((-234)/(-52)) 1/3 Evaluate 48/(-40)*(-20)/(-8). -3 Calculate ((-6)/((-4)/(-2)))/(-1). 3 Calculate 2/(-2)*10*(-13)/(-130). -1 ((-1925)/(-66))/25*-6 -7 ((-80)/(-10))/8*0 0 Calculate (6/(-35))/((-26)/(-455)*14). -3/14 (-33)/(-11)*(-2)/8 -3/4 Calculate (0/6)/((-3)/1). 0 What is the value of (-13)/(-10)*20/65? 2/5 What is the value of (-10*(-39)/1300)/((-9)/(-12))? 2/5 Evaluate 2/(-8)*(-60)/(-105). -1/7 Calculate (7/((-28)/(-20)))/1. 5 What is the value of ((-3)/(-1))/((-9)/2)? -2/3 What is the value of (-5)/((-500)/(-8))*-5? 2/5 Calculate 1/((48/(-8))/(-6)). 1 Evaluate 4/(-9)*(-60)/200. 2/15 What is the value of 1*3*-6*7/(-189)? 2/3 What is 40/(-4)*2/(-5)? 4 Evaluate (22/44)/(1/(-2)). -1 What is the value of ((-4)/(-2))/(-2)*-1? 1 Evaluate 80/64*-1*2/(-5). 1/2 What is 34/119*14/20? 1/5 Calculate (((-4)/9)/(1/(-9)))/2. 2 (((-130)/(-39))/(2/(-3)))/1 -5 Evaluate (0/((-8)/4))/(-2). 0 What is the value of (-54)/(-180)*75/18? 5/4 What is the value of (5/((-75)/(-12)))/((-56)/(-20))? 2/7 ((-5)/6)/(5/(-40)*30) 2/9 (-6)/(-8)*-2*(-32)/(-12) -4 (-4)/3*((-432)/(-12))/12 -4 What is (-1)/((-4)/(-8)*6)*2? -2/3 Calculate (-1)/(12/(-8))*3/(-1). -2 Calculate ((0/(-12))/(-3))/(1/1). 0 Evaluate (3*-1)/12*(-44)/(-77). -1/7 What is ((-1)/(-6))/((-22)/44)? -1/3 What is 4/8*2*(-4)/(-2)? 2 What is (-36)/24*(-7)/((-189)/6)? -1/3 What is ((-4)/(-85))/((-22)/55)? -2/17 Calculate (-3)/2*430/(-129). 5 (-126)/70*((-10)/(-3))/(-2) 3 Calculate -9*9/108*16/(-6). 2 Calculate ((-15)/4)/((-6)/8). 5 What is the value of ((-3)/((-150)/(-4)))/(61/(-305))? 2/5 Calculate (-2)/(-1)*2/(-8)*6. -3 What is ((-10)/6)/(5*(-1)/6)? 2 Evaluate 75/9*(-18)/(-30). 5 Evaluate (-4)/12*24/(-8). 1 Evaluate 4*5/(15/3). 4 What is -6*((-20)/(-6))/(60/24)? -8 Calculate ((-1)/2)/((-1)/22*-11). -1 (-2)/((-4)/6)*(-28)/(-420) 1/5 (-12)/(-8)*-1*1/2 -3/4 Calculate (-30)/42*((-8)/5)/(-4). -2/7 What is (-4)/12*(-12)/(-18)? -2/9 Calculate 1/2*9*8/90. 2/5 (-6)/(-4)*(140/(-15))/(-14) 1 Calculate (((-24)/(-3))/(-4))/((-2)/5). 5 Evaluate (((-126)/(-45))/14)/(1/3). 3/5 (((-4)/(-4))/4)/((-133)/76) -1/7 Calculate 42/6*36/42. 6 -1*4*84/112 -3 Evaluate (-42)/(-28)*16/30. 4/5 Calculate ((-2)/(-2))/(5*(-6)/(-15)). 1/2 Calculate 1*(9/135)/(2/10). 1/3 (1/((-24)/(-2)))/(4/16) 1/3 2/(18/(-3))*21/7 -1 Calculate (-1)/(4*(-7)/140). 5 Evaluate 28/84*3*5. 5 Evaluate (4/12*3)/(-3). -1/3 Calculate 10/(-16)*(-4)/(-10). -1/4 What is ((-56)/84)/(3/9)? -2 What is the value of -12*(-1)/((-16)/(-4))? 3 Evaluate (-5*6/(-105))/((-26)/182). -2 Evaluate ((-10)/(-15)*-3)/((-26)/39). 3 Calculate (-8)/(-6)*((-72)/32)/9. -1/3 Calculate 1*1*-4*18/72. -1 What is 4/14*-3*3/18? -1/7 What is the value of (-6)/165*3/(6/(-10))? 2/11 What is the value of (0*3/9)/(36/(-12))? 0 What is the value of ((-6)/5)/((-117)/195)? 2 Calculate (-10)/((1*-2)/(6/(-18))). -5/3 Calculate (-12)/40*2*1. -3/5 Calculate (12/27)/((-16)/(-6)). 1/6 Calculate -8*2/((-4)/1). 4 Calculate (-16)/(-80)*4/(24/10). 1/3 What is the value of ((4/5)/2)/(84/1470)? 7 Evaluate 5*9/(-108)*-12. 5 Evaluate (-6)/4*(-94)/423. 1/3 260/(-195)*-1*1 4/3 15*(-1)/(-3)*(-6)/15 -2 What is the value of ((-24)/9)/(2/3)? -4 Evaluate (2/(-1))/(2/2*2). -1 What is the value of 9/(((-495)/6)/(-11))? 6/5 ((-522)/435)/((-6)/4) 4/5 Calculate (-30)/(-12)*1*2/(-20). -1/4 Evaluate (8/(-18))/(14/(-63)). 2 Evaluate ((-63)/189)/(1/21). -7 (-4)/(-120)*2*108/9 4/5 Evaluate (-56)/770*15/6. -2/11 ((924/35)/11)/((-9)/(-30)) 8 (-9)/(-8)*-9*(-16)/(-216) -3/4 Calculate (6/(-4))/((-8)/4). 3/4 Evaluate (-4)/8*1*10. -5 What is 7/(105/(-36))*(-15)/6? 6 What is the value of ((-11)/(-66))/((-1)/(-4))? 2/3 What is (0/(-2))/(10/(-120)*-12)? 0 What is (16/(-68))/(-8*1/(-4))? -2/17 What is (-20)/12*(-42)/35? 2 What is the value of 4/18*-15*(-12)/10? 4 (3/(-36))/(8/12) -1/8 Evaluate 5*(-4)/40*-14. 7 Calculate (17/(-68))/((-9)/12). 1/3 Evaluate (-183)/122*(-6)/(-3). -3 (-6)/(-4)*5/15*-12 -6 Calculate (24/2)/(14/7). 6 Calculate (1/(-7))/(3/21*-2). 1/2 (5*1*30/(-50))/(-3) 1 ((-287)/(-123))/((-7)/(-12)) 4 (1/(-10))/(6/48) -4/5 Calculate ((-5)/5)/((-84)/(-36)). -3/7 6/9*-3*6/4 -3 Evaluate (-4)/(-1)*7/(-7). -4 What is the value of (1/3)/(-4*2/6)? -1/4 (12/(-168))/((-8)/(-28)) -1/4 (2/(-4))/(19/38)*5 -5 Calculate 12/(3/(24/16)). 6 Evaluate (-2)/8*9/(324/16). -1/9 Evaluate 15/(-10)*(-7)/((-21)/(-2)). 1 What is ((-6)/10)/((-3)/(-2))? -2/5 Evaluate (0*8/(-56))/5. 0 Evaluate (-35)/10*(-2)/(-28). -1/4 What is 2/(-5*27/45)? -2/3 Calculate 1/(1/(-2)*2/4). -4 What is the value of (-8)/3*((-135)/10)/9? 4 What is 15/((-2)/(-12)*15)? 6 0/((-3)/(15/5)) 0 What is the value of (38/(-19))/((-4)/(-2))? -1 Calculate (4/(-12))/(4/6). -1/2 Evaluate 3*(42/7)/30*-1. -3/5 Evaluate (6/((-132)/(-10)))/((-55)/(-22)). 2/11 Calculate 35/70*(-5)/((-10)/(-12)). -3 What is ((-1)/2)/(-1)*(-124)/(-31)? 2 What is ((-675)/(-6))/15*(-6)/9? -5 Evaluate (-30)/36*10/75. -1/9 Evaluate ((-6)/(-5))/(3/5). 2 (((-4)/(-6))/(4/(-30)))/1 -5 What is ((-1)/(-72)*-6)/(4/18)? -3/8 Evaluate (-20)/(-4)*(56/60)/7. 2/3 What is the value of (-3)/5*(-280)/(-56)? -3 What is 18/21*(-21)/9*3? -6 Calculate (-15)/3*(-12)/(-20). -3 What is (-2*(-4)/(-16))/(18/(-60))? 5/3 Evaluate 5/(-3)*(-9)/5. 3 Calculate (15/5)/((-6)/(-8)). 4 Calculate (6/(-8))/(335/(-268)). 3/5 Evaluate 6/4*(-28)/189. -2/9 What is ((0/9)/(-8))/(-1)? 0 What is ((4/5)/(-1))/((-4)/10)? 2 What is 2*(-3)/9*-3? 2 (6/(-4))/(-6*(-1)/(-20)) 5 What is (0/(-3))/(14/(-7))? 0 (1/(-10))/(((-3)/4)/(-3)) -2/5 What is the value of 2*(-20)/(-210)*9/(-12)? -1/7 (-14)/112*140/(-5) 7/2 Calculate (623/178)/((-14)/2). -1/2 ((-8)/170)/((-6)/15) 2/17 Evaluate 1/((-3)/((-24)/(-2))). -4 Evaluate 2/(5*2/4)*5. 4 Calculate (((-105)/(-20))/7)/(6/(-4)). -1/2 ((-16)/(-32))/((-2)/(-8)) 2 Evaluate ((-9)/(-6))/((-2)/4). -3 Evaluate (4/((-6)/(-3)))/2. 1 What is the value of (-8)/(-5)*(65/26)/1? 4 Calculate 54/27*(4/(-2))/(-2). 2 What is the value of 3/8*(-844)/633? -1/2 ((-3)/1)/(-3)*(-2)/7 -2/7 What is 3/(-12)*36/21? -3/7 Calculate 1/(-4)*1/1. -1/4 What is the value of (-2)/(-3)*(-5)/((-170)/(-357))? -7 Evaluate (32/56)/((-4)/(-14)). 2 Calculate ((-10)/52)/(395/(-316)). 2/13 What is the value of 3/(-3)*42/14? -3 Calculate ((-72)/(-64))/((-8)/64). -9 Calculate (6/(-10))/((-360)/80). 2/15 Calculate (1/((-4)/(-2)))/((-4)/(-1)). 1/8 What is the value of -4*63/(-112)*(-8)/(-6)? 3 What is (1/(-1))/((-45)/(-72)*8)? -1/5 2/(-3)*(-225)/(-100) -3/2 Calculate (220/(-132))/((-1)/6). 10 Evaluate ((-1)/3)/(4/60)*1. -5 Evaluate (-5)/(60/(-6))*8/6. 2/3 ((-8)/(-42)*3)/(6/(-84)) -8 Evaluate (0/(40/(-8)))/((-4)/(-2)). 0 Evaluate (-1)/18*3*-2. 1/3 5*12/40*2 3 ((-9)/6)/((-1)/(8/12)) 1 What is the value of ((-2)/8)/((-6)/12)*-6? -3 What is the value of (25/30)/(-5)*15/(-10)? 1/4 What is the value of ((-10)/(-35))/(3/(-7))? -2/3 ((-2)/(-5))/(180/90) 1/5 ((-1253)/(-358))/((-1)/2) -7 ((-42)/(-14))/(3/1) 1 Calculate (4/8)/(7/(-4)*2). -1/7 What is ((-12)/(-10))/(-3)*(-55)/(-110)? -1/5 Calculate (3/6)/(-1)*(-2)/1. 1 (24/78)/((-7)/(35/10)) -2/13 -2*1*(-2)/(-45)*9 -4/5 Calculate (((-10)/(-25))/(-1))/(7/(-15)). 6/7 What is (-279)/(-93)*(-4)/(-3)? 4 What is the value of 4/(-5)*5/2? -2 What is the value of 0/(-2*1)*(-3)/3? 0 (((-1)/1)/4)/((-11)/(-44)) -1 -2*4/8*10/2 -5 (9/((-189)/(-4)))/((-2)/(-6)) 4/7 What is (-75)/(-6)*(-8)/(-80)? 5/4 20/12*(-18)/(-30) 1 ((-8)/32)/((-2)/(-8)) -1 Evaluate -3*17/((-663)/(-52)). -
{ "pile_set_name": "DM Mathematics" }
-3 + l = -u for u. -3 Suppose -3*v - 10 = 2*v. Let p be v/(-4) - 11/22. Solve p = -2*z - 2 for z. -1 Let t be ((-28)/21)/(2/3). Let q(o) = o**2 - o - 1. Let d be q(t). Suppose -f = -2*w - 6, -5*f = d*w - w - 2. Solve 0 = 2*i + f + 2 for i. -2 Suppose 0 = -5*t + t. Let i be t*((-2)/(-4) + 0). Solve f = -i - 2 for f. -2 Suppose h - 5*l = -3*h - 2, 4*l = 8. Solve -1 = -h*q + 5 for q. 3 Let s(m) = m - 3. Let k be s(13). Solve 2*b + 3*b - k = 0 for b. 2 Suppose 12 = g - 4*g. Let f = 0 - g. Suppose 3*q + 34 = s, -4*s + f*q = -0*s - 96. Solve 5*z - 6 = s for z. 5 Suppose -2*v + 10 = -4*v. Let r be v/5 + (0 - -6). Let m = r + -5. Solve 3*w + m = -9 for w. -3 Suppose -5*f + 0*m = -m - 13, -m = -2. Solve -f*o + o + 6 = 0 for o. 3 Let u be (6 - 26)*1*2/(-8). Solve u*h = 27 - 7 for h. 4 Let i = -14 - -29. Solve -i = 4*w - w for w. -5 Suppose 0*z = 5*r - z - 31, 5*r + 3*z - 27 = 0. Suppose -3*j = 6, 2*m + j + 0*j = r. Solve u = -m*u - 25 for u. -5 Let d(b) = -4*b. Let p be d(-1). Suppose 0 = -l - 3*l + 5*c, 2*c + 2 = 2*l. Solve l*h + p = -1 for h. -1 Let a(u) = -u. Let l be a(0). Solve -2*k = 6 - l for k. -3 Let m(q) be the second derivative of q**3/6 + 11*q**2/2 + 4*q. Let z be m(-5). Solve -z*x = -3*x + 3 for x. -1 Let n(b) = b**3 - 2*b**2 - 2*b + 2. Let f be n(2). Let x be (f + 3)*1 - -6. Let o be 2/(-5) - (-66)/15. Solve -1 = o*u + x for u. -2 Let o(l) be the third derivative of -l**6/120 + l**5/30 + l**4/12 + l**3/2 + 2*l**2. Let y be o(3). Solve y = p - 6*p + 20 for p. 4 Let y = 25 - 5. Solve 7*l - y = 2*l for l. 4 Let j(f) = f**3 - 2*f**2 - 6*f + 6. Let w be j(4). Solve -3*r - 5 = -w for r. 3 Let v(b) = b**2 + 2*b + 2. Let p be v(-3). Solve 3*y + 6 = p*y for y. 3 Let c be ((-150)/(-45))/(4/6). Suppose -f = 2*p - 12, -4*p - 1 + 11 = -5*f. Solve c*j = f + 3 for j. 1 Suppose -12 = -4*y + 3*f, 7*y - 4*y - 3*f - 9 = 0. Let k = 113 - 108. Solve -2*h - k = -y for h. -1 Let u(j) = j**3 - 6*j**2 + j + 3. Suppose c + 1 = -2*t + 9, 5*c - 10 = -5*t. Let g be u(t). Let k = g - 4. Solve b = k*b for b. 0 Let v(m) = -m**2 - 8*m + 13. Let f be v(-9). Solve -8*k + f*k = 0 for k. 0 Let w be (-1)/(-2) - (-15)/2. Let c be 3/12 - 50/w. Let f = 1 - c. Solve -2*g + 3 = -f for g. 5 Suppose 0 = -2*u + 2*k - 0*k + 42, 4*u = 2*k + 74. Let h = u + -16. Solve 4*c = 4 - h for c. 1 Let i = 21 + -21. Solve i = 3*h + h + 12 for h. -3 Suppose -6 - 4 = -2*k. Solve j + 4*j = k for j. 1 Suppose -10 = a + 2*d - 7*d, d = -3*a - 30. Let o = -5 - a. Solve -1 = o*l - 6 for l. 1 Let s be (2 - (2 + -2))*3. Let f = -3 + s. Solve -4*t = -f*t - 1 for t. 1 Let u(r) = 5*r - 3 + 4*r**2 + 10 - 5*r**2. Let y be u(6). Let c be (9/(-18))/(y/(-2)). Solve 4*i - c = -13 for i. -3 Let i(b) = 4*b**2 + 3. Let u be i(5). Suppose -5*p = -4*w + u, 0 = -4*w - 3*p + p + 82. Suppose 0 = -2*g + 1 + 9. Solve 3 = g*q - w for q. 5 Let c(t) be the third derivative of t**6/120 + 7*t**5/60 - t**4/3 + t**3/3 + 3*t**2. Let j be c(-8). Solve -j = -p - 0 for p. 2 Suppose -x - x = 8*x. Solve g + 0*g + 1 = x for g. -1 Let i(x) = x**3 - 7*x**2 + 6*x + 8. Let f be i(6). Suppose 5*r - 2*r - 16 = -4*s, 4*s + 5*r = 16. Solve s*w + f = 20 for w. 3 Let r = -23 - -20. Let i(a) = -6*a - 2. Let y be i(r). Solve y = l + 3*l for l. 4 Suppose -3 = -s + 2. Suppose s*o = 3*o. Suppose 2*y = -0*y. Solve y = -j + 3 - o for j. 3 Suppose 4 = n - 0. Let l = n + -2. Suppose 0 = -l*t - t. Solve 5*x + 0*x + 5 = t for x. -1 Let x = -16 + 11. Let c = x - -8. Suppose -c*r = -0*r. Solve 3*w + r*w + 6 = 0 for w. -2 Let f = 20 + -10. Let r = -7 + f. Solve -r*g = 3 + 9 for g. -4 Let b be ((13 - 2)*2)/(-2). Let t = b + 9. Let i be t/7 - 2/(-7). Solve 0*n - 5*n - 5 = i for n. -1 Let n(w) = w**3 + 4*w**2 + 2*w - 4. Let j be n(-4). Let c = j + 20. Suppose -4*x = -c*x. Solve 0*r - 4*r = x for r. 0 Suppose -t + 5 = k, -2*t - 4*k - 25 = -7*t. Solve -4*m + 7 + t = 0 for m. 3 Suppose 0 = -5*v + 3*v. Suppose w + 5*l + 15 = v, -l + 13 = 5*w + 2*l. Solve 2*j - 9 = w*j for j. -3 Let d be 30/4 + (-5)/(-10). Let m be d/24 + 23/3. Let j = m - 7. Solve 2 = -3*u - j for u. -1 Let b be 3 + -6 + 8 - 5. Solve -4*p + 5 - 1 = b for p. 1 Let c = 15 + -14. Solve t + c = -3 for t. -4 Let l(q) = q**2 + q + 1. Let v be l(-2). Let x = -2 - -5. Suppose -4*n = 3*h - 8*h + 12, 4*h = n + x. Solve h = v*z - 0*z for z. 0 Let n(o) = -4*o**2 + 2*o**2 - 1 - 41*o + 39*o - 3*o**3. Suppose -3*q - 10 = 4*h, 2*h - 14 = 6*h + 5*q. Let x be n(h). Solve 2 = -u - x for u. -4 Let p = -57 - -107. Suppose -2*f = 3*f - p. Solve -f = -3*n + 5*n for n. -5 Let v be 0 + (-8)/(1/(-1)). Solve 3*h + 5 = v*h for h. 1 Let h(z) = 3*z + 54. Let l be h(-18). Solve 8 = -l*t + 2*t for t. 4 Let k = 24 - 22. Suppose 0*u = -2*u - 3*d + 15, -2*d = -k*u - 10. Solve u = z - 4*z for z. 0 Suppose -15 = -3*q - 0. Suppose q*x = -1 + 36. Suppose -2*z = -3 - x. Solve -b = -z*b for b. 0 Let v(z) = -z**2 - 6*z + 4. Let r be v(-3). Solve -4*p = r + 3 for p. -4 Suppose -2*p - 5 = 5*k, -3*p - 23 = -3*k + p. Let s(b) = -8*b**2 + b - 1. Let a be s(k). Let m be ((-30)/a)/(2/8). Solve m = -0*d - 5*d for d. -3 Let m be 0*(-2)/(-8)*(11 - 13). Solve m*i + 3*i + 3 = 0 for i. -1 Suppose 29*l - 31*l + 6 = 0. Solve 0 = q - 0*q - l for q. 3 Let q be 1/(-1*(-1)/(-5)). Let v be (-46)/(-10) - 2/q. Let p be 0 - (-2 + 2)*-1. Solve p = -0*t - v*t + 25 for t. 5 Suppose 5*h + 0*h = 15. Solve 0*f - 12 = h*f for f. -4 Let o(a) = -a + 8. Let v = 22 + -14. Let m be o(v). Solve -c = -m*c + 1 for c. -1 Let c be 30/7 - (-2)/(-7). Suppose c*b + 3*j = j + 6, -2*j + 10 = 5*b. Suppose -2 = -2*z, -b*z = -3*s + z - 5. Solve 0*p + 3*p + 15 = s for p. -5 Suppose 0 = 3*b - b. Let u be ((-12)/(-10))/((-9)/(-30)). Suppose 4*k = s - 6*s + 34, -4 = -u*k. Solve s*y - y + 5 = b for y. -1 Let p = 108 - 106. Solve -p*l + 5 = 9 for l. -2 Let k = -29 - -43. Suppose 2*j + i - 37 = 0, -5*i = 3*j - 2*j - k. Solve -4*z + 1 = -j for z. 5 Let j(p) = p + 5. Let s be j(5). Let z = -10 + s. Solve d = -z*d - 5 for d. -5 Let o(i) = -i + 7. Let p(u) = 6 + 2 - u + 0*u. Let t(m) = 6*o(m) - 5*p(m). Let l be t(0). Solve -l*d - 6 + 0 = 0 for d. -3 Suppose 2*r + r - 15 = 0. Suppose -30 + r = -w. Solve -w = -0*c + 5*c for c. -5 Suppose 2*s + 5*v + 2 + 7 = 0, -3*s = -3*v - 18. Suppose 0*i - i = 0. Let p be 0 + s - (0 - i). Solve p*l + 9 + 3 = 0 for l. -4 Let c be 48 - (0 + 0 + 1). Suppose 4*w - 4*h - 4 = 0, 9 = 3*w - 3*h + 2*h. Suppose -33 = -w*z + c. Solve q = 5*q - z for q. 5 Let r(g) = g**3 - 3*g**2 - 2*g + 2. Let u be r(4). Let v = -7 + u. Solve v + 1 = -k for k. -4 Let u be 5/(-2)*(5 - 3). Let c(w) = w + 3. Let q be c(u). Let n be 6 - (1 + q)*-2. Solve 7 = -n*k - 9 for k. -4 Suppose 0 = -3*b - q + 5, -q = -2*b - 2 + 12. Solve -2*j + 25 = b*j for j. 5 Let y(q) = -q**2 + 5 + q**2 - q**2 - q. Let n be y(0). Suppose -3*w + 3 = u - n, 0 = w + u - 2. Solve 1 = -2*g - w for g. -2 Let w(r) = -8*r - 62. Let c be w(-8). Solve 2*s + c = -0*s for s. -1 Suppose -26 = -5*p + 4. Solve -1 = 5*s - p for s. 1 Let d(k) = -k**3 - 2*k**2 - k. Let h be d(-1). Suppose h = 2*i - i - 2. Solve -5*w + 3*w = -i for w. 1 Let s be 4 - (-15)/(-5) - 1. Solve 0 = -3*z - s*z + 3 for z. 1 Suppose -3*f = -7 - 2. Solve f = -2*w + 3*w for w. 3 Let a(b) = b + 3. Let n be a(6). Solve -3*y - n = -0*y for y. -3 Let v(m) = m**2 - 2*m + 3. Let x be v(2). Suppose 9 - x = -3*a - 5*t, 4*a - 24 = 4*t. Solve a*b + 2 = -7 for b. -3 Suppose 6 = w + 1. Solve 11 - w = 3*u for u. 2 Suppose -5*b + 3*b - w = -8, -5*b + 42 = -3*w. Solve 0 - b = -3*p for p. 2 Suppose -2*j = 5*l - 30, 0 = j - 2*j + 3*l - 7. Solve -j*q + 4*q = -2 for q. 2 Let d(k) = -k**3 + 8*k**2 + 5. Let a(i) = i + i - 4 + 2*i. Let b be a(3). Let v be d(b). Solve -2*q + 3*q = -v for q. -5 Let n(r) = r**2 + 3*r - 6. Let d be n(-5). Suppose -33 = -6*v - 3. Solve 0 = -3*y + d*y - v for y. 5 Suppose -4*m = -2*k, 5*m = -2*k + k + 14. Let x = 7 + -2. Solve -m*y = -x - 5 for y. 5 Suppose -3*h = -z - 10, -2 = -h - 2*z - 8. Suppose -2 = -s - 1. Solve c = -h + s for c. -1 Let t be 1 - ((-4 - -2) + 3). Solve t = -f + 4*f + 6 for f. -2 Suppose -s = -4*s + 30. Suppose -s + 2 = -2*c. Solve 0 = -c*u + u + 15 for u. 5 Let m(y) = 0*y + 8 - y + 4. Let v be m(7). Let l = 10 - v. Solve 10 + 5 = l*b for b. 3 Suppose -5*o + 4*o = -2. Suppose r = o, r = g - 2*r + 4. Solve v + 0 = -g for v. -2 Let g(s) = -
{ "pile_set_name": "DM Mathematics" }
85*i - 219 = -10*i. What is q(i)? 8 Let p(f) = 2209 - 14*f + 2159 + 2198 - 6667. Determine p(-6). -17 Let u(z) = z**3 - 7*z**2 - z - 3. Let r(p) = 15*p - 321. Let s be r(42). Let v = 316 - s. Determine u(v). -10 Let j(f) be the first derivative of -7*f**2/2 - 67*f + 2734. Calculate j(-11). 10 Let y = -11480 - -11489. Let t(s) be the first derivative of s**3/3 - 5*s**2 + 5*s - 4. Determine t(y). -4 Let m(u) = -5388*u - 2*u**2 - 2*u**2 + 5412*u - 2. Let a be m(6). Let i(q) = q**2 - 2*q - 1. Calculate i(a). 7 Let l be (-9)/((-45)/(-10)) + (18 - 16). Let q(y) be the third derivative of 0*y + 0*y**3 - 1/8*y**4 + l - 1/60*y**5 - 11*y**2. Calculate q(-4). -4 Suppose -y - 80 = 5*d, -96*d + 98*d - 2 = 3*y. Let u(o) be the first derivative of -o**3/3 - 9*o**2/2 + 3*o + 1. Determine u(y). -7 Suppose 15*b = 11*b. Suppose 2*i + y - 43 + 28 = b, -2*y = -4*i + 42. Let u(t) = t**2 - 10*t + 8. Give u(i). -1 Let y(n) = -2*n**3 + 4*n**2 - 3*n + 2. Let f = -58 - -63. Suppose -3*h + 4*i - 3*i = -27, f*i = -h + 25. Suppose -48*s = -43*s - h. Give y(s). -4 Suppose 5*l - 10*w - 25 = -5*w, -w + 19 = 2*l. Let o(y) = 2*y**2 - 15*y + 6. What is o(l)? 14 Let r(b) = 590 - 981 + 4*b + 335. Determine r(12). -8 Let i(p) = p**3 + 18 + 2*p**3 - 1662*p + 2*p**3 + 1659*p - 6*p**3 + 20*p**2. Give i(20). -42 Let b(c) be the second derivative of -c**5/20 + 7*c**4/12 + 3*c**3/2 - 11*c**2/2 - 4*c + 5. Suppose 0 = -4*r - y + 31, -2*r - y + 14 = y. What is b(r)? -3 Let n(t) = -t**3 + 3*t**2 + 13*t - 8. Let m be n(5). Let j(r) = -2*r + 2. Let z(b) = -b + 1. Let a be (0 - -2)*(-6 - -8). Let x(d) = a*j(d) - 9*z(d). Give x(m). 6 Let x(y) = 45*y + 536. Let i(w) = 44*w + 468. Let n(u) = 8*i(u) - 7*x(u). Give n(-3). -119 Let z(g) = 29*g - 153. Let v(i) = 9*i - 50. Let s(n) = -13*v(n) + 4*z(n). Determine s(5). 33 Let a(z) = 5*z**2 + 11*z - 11. Let d(y) = -58*y**2 - 124*y + 121. Let b(k) = -23*a(k) - 2*d(k). What is b(3)? 5 Let v(i) be the third derivative of i**6/120 + i**5/12 - i**4/12 - 2*i**3/3 - 7*i**2 - 4. What is v(-4)? 20 Let v(c) = 2*c**2 - 37*c + 163. Let d be v(7). Let f(q) = -2*q**2 + 6*q - 16. Determine f(d). -12 Let z = 4 - 2. Suppose -5*x = -3*o + 117, -281*x = -4*o - 284*x + 156. Let n(q) = -o + 18 - z*q + 24. Give n(-6). 15 Let q be 1 + (1/3 - 70/21). Let s be 48/12*-2*q/4. Let p(m) = -497*m - s - 2 + 496*m. Give p(-5). -1 Let q(r) = -13*r**2 - 43*r + 38. Let i(u) = -22*u**2 - 72*u + 63. Let s(j) = -10*i(j) + 17*q(j). Calculate s(-11). 16 Let y(t) = -t**2 + 14*t - 30. Let p be y(3). Let c(o) be the first derivative of 11*o - 15 + 1/3*o**p - 11/2*o**2. What is c(9)? -7 Let i(v) = -7*v - 6. Let t(k) be the first derivative of -11*k**2/2 - 7*k - 109. Let r(w) = 4*i(w) - 3*t(w). Calculate r(2). 7 Let v(c) be the third derivative of c**3/3 + 2*c**2 + 4*c. Let l(w) = -4*w - 9. Let i(y) = -l(y) - 4*v(y). What is i(-1)? -3 Suppose -25 = 4*j - 1, -27 = -3*c + 6*j. Let h(i) = 25*i + 67. What is h(c)? -8 Let w(a) = 97*a - 98*a - a**3 + 7 + 7150*a**2 - 7138*a**2. Determine w(12). -5 Let f(r) be the second derivative of -r**3/6 - 6*r**2 + r. Let a(c) = 409*c - 84652. Let o be a(207). Determine f(o). -23 Let u(m) = -7*m**2 + m + 32. Let c(l) = 20*l**2 - l - 93. Suppose -5*d = -5, 5*v - d - 9 + 40 = 0. Let r(t) = v*c(t) - 17*u(t). Calculate r(-12). 2 Let j(b) = -105155*b**2 - 69*b + 52578*b**2 + 12 + 52580*b**2. Calculate j(23). 12 Let f(h) = 445963*h - 445964*h + 5 + 0. Let p = 10 - 7. Let y(m) = m**2 - 2*m + 3. Let l be y(p). Calculate f(l). -1 Let o be (1/(-3) - 0)/((-4)/(-192)). Let f be (-2 - -14)*(0 - 8/o). Let j(c) = 4*c - 5. Give j(f). 19 Let z(f) be the third derivative of -f**6/360 - f**5/24 - f**4/24 - 7*f**3/6 + 2*f**2 - 26. Let l(u) be the first derivative of z(u). Give l(-4). 3 Let y be ((-531)/(-354))/(((-3)/2)/(-3)). Let f(o) = 12*o - 51. Let i(t) = 4. Let c(z) = f(z) + 12*i(z). Calculate c(y). 33 Let l = 7 - 14. Let d(w) be the first derivative of w**3/3 + 3*w**2 - 3*w - 810. Determine d(l). 4 Let x(k) = -k**3 - 35*k**2 + 112*k - 82. Let p be x(-38). Let i(n) = -n**3 - 8*n**2 - 9*n - 10. Determine i(p). -28 Let o(c) = -5*c + 14*c**2 + 2420223 - 2420305 - 13*c**2. Calculate o(-7). 2 Let o(b) = b**3 - 9*b**2 - 22*b + 83. Let t be o(9). Let c be (-4)/(-14) + (-2577)/(-21). Let h = t + c. Let r(i) = -i**2 + 9*i + 7. Give r(h). 15 Suppose 12 = 4*d + 4*o, 4*o = 5*d + 2*o - 50. Let s(c) be the third derivative of -c**5/60 + 7*c**4/24 + 2*c**3/3 - c**2 - 458*c - 5. Determine s(d). -4 Let u be ((-16)/(-6) - 2)*243/(-54). Let t(m) = -2*m**2 + 3*m**2 + m + 5*m + 9. Give t(u). 0 Suppose -234 = 28*t + 30*t - 19*t. Let n(p) = -p**2 + 12*p + 3. Determine n(t). -105 Let l(s) = 2*s - 15. Let c be (60/9)/((-8)/(-12)). Let a be l(c). Let r(b) = -4*b**2 - 1 - a*b - 4 + b**2 + 4*b**2. Determine r(4). -9 Suppose y - 19 = 3*t, 18 = -2*t - 4*y - 4. Let h(o) = -3*o. Let b(q) = q. Let g be 0/(-1) - (-2)/(-1). Let w(z) = g*h(z) + t*b(z). What is w(-5)? 5 Let l(z) = 317*z - 800*z + 58 + 460*z. Determine l(4). -34 Let u be (-232)/174*45/(-4) + 5*1. Let b(s) = -5*s + 37. What is b(u)? -63 Let s(q) be the second derivative of q**2 + 36*q - 1/3*q**3 + 0. Give s(-3). 8 Let d be (-1)/(1*(-1)/2). Let i(q) = -6*q - d*q + q - 3 - 6*q**2 + 7*q**2. What is i(7)? -3 Let f be 3 + -5 + (595 - -3). Suppose 16*z + 116 = f. Suppose -60 = 5*i - z. Let w(r) = -r**2 - 7*r - 6. Give w(i). 0 Let o = -6 - -8. Let m(z) be the third derivative of z**5/15 - z**4/12 - z**3/6 - 31*z**2 - z - 69. Determine m(o). 11 Let h = 34 - 30. Let p(k) = -k**2 + 7*k - 7. Let m be p(h). Suppose 0 = 3*u + 2*y - 5, m*u - 2*y = 3*y - 25. Let b(c) = -5*c - 1. What is b(u)? 4 Let h(j) = -48*j - 5*j + 8*j + 15*j + 15*j + 86. What is h(6)? -4 Let p(t) be the third derivative of -t**5/60 - 11*t**4/24 - 13*t**3/6 + t**2 - 575*t. Let c(f) = f - 3. Let a be c(-6). What is p(a)? 5 Let d = -23 - -26. Suppose 29 = 4*v + 3*b, -d*b = -2*v + b + 42. Suppose -4*w + v = o - 0, 2*o + 5*w = 7. Let n(k) = -k**2 - 9*k + 4. What is n(o)? 4 Let b(a) = 6*a - 8*a - a**2 + 6*a + 2 - 6*a. Determine b(4). -22 Let w(a) be the second derivative of -a**4/12 + a**3/2 + 5*a**2 + 1463*a. Calculate w(11). -78 Let q(n) = -n**2 - 8*n + 19. Let m be (-68 + 2)*-3*16/(-288). Determine q(m). -14 Suppose 0 = -g - g + 10. Suppose 155*j - 156*j = -3. Let w(d) = -d + j*d + d + g. Give w(-5). -10 Let q(d) = 0*d + 7 + 2*d - 164934*d**2 - 3*d + d**3 + 164928*d**2. Let w = -9 + 24. Let h be w/((-9)/(-3)) + 1. Calculate q(h). 1 Let h(k) = -33*k - 208. Let b be -10 + (-5 - 81/(-9)). Determine h(b). -10 Let w be (2/(-8)*2)/(10/(-40)). Let z(h) = -7*h**2 - h**3 + 2*h**3 + 9*h + 119 - 2*h**w - 123. Give z(7). -39 Let s(j) = -7*j - 65 + 20*j - 19*j + 182. Calculate s(16). 21 Let t(a) be the third derivative of 11*a**6/120 - 17*a**5/30 + a**4/24 + 2*a**3/3 - 42*a**2 + a. What is t(3)? -2 Suppose 0 = 5*w + 2*j - 4*j - 607, 2*w = -j + 250. Let n(u) = 131*u + 7 - 5*u**2 - 5*u**2 + 3*u**2 + 6*u**2 - w*u. Give n(8). 7 Suppose -36 = -l + 2*l + 5*g, -3*g + 152 = -5*l. Let s = 8 - l. Let n(r) = 26*r**2 - s*r**2 - r**3 - 1 + 20*r**2. Give n(7). -1 Let d(w) = -23 + 16*w + 0*w - 9 + 34 - 6. Determine d(-2). -36 Let g(n) = -115*n**3 - 2 + 105*n**3 - 14*n + 12*n. Give g(-1). 10 Suppose -150*x + 625 - 175 = 0. Let q(g) = 3*g**2 - 2*g - 8. Determine q(x). 13 Let i(b) = -6*b - 193. Let d be i(-40). Let f(r) = -50*r + 1 + d*r - 8. Give f(-6). 11 Let t(u) = -233*u**3 + 2 + 472*u**3 - 238*u**3 + 2*u + 4*u**2. Let f(s) be the second derivative of 2*s**3/3 + 9*s**2/2 + 28*s. Let y be f(-3). Determine t(y). 5 Let z be 1/(-5 - 306/(-60)). Let h(t) = -3*t - z*t**3 + 5 + 9*t**3 + 4*t. Determine h(0). 5 Let i(r) = r**2 - 20*r + 81. Let j = 371 - 366. Calculate i(j). 6 Let x = 27 + -52. Let d(k) = -k - 26. Let c be d(x). Let z(p) = -15*p**2 + 1. Determine z(c). -14 Let c(o) be the first derivative of -4/3*o**3 + 0*o - 1/24*o**4 - 8*o**2 - 13. Let r(b) be the second derivative of c(b). What is r(0)? -8 Let o(m) = m**2 - 8*m + 9. Suppose -30*p + 423 = 17*p. Let f be (-12 + p)/(3/(-6)). Give o(f). -3 Let p(y) = y**3 + 10*y**2 + 11*y + 3. Let r(m) = -2*m**2 - 3*m - 1. Let o be r(-1). Suppose o = -7*b + 80 - 143. What is p(b)? -15 Let i be ((-258)/(-645))/(2/20). Let v(l) = -2*l + l - 4 - l**2 + 7*l. Determine v(i). 4 Let o = 86
{ "pile_set_name": "DM Mathematics" }
053))**2. 784*sqrt(13) + 40817 Simplify (-1 + 4*((5 + sqrt(432)*1)*-2 + 5 + sqrt(432) + 0 + 2))**2. 1248*sqrt(3) + 7081 Simplify ((-1 + (4 + sqrt(882) - sqrt(882)) + sqrt(882))**2 + sqrt(882) + (sqrt(180)/(sqrt(40)/sqrt(4)) + sqrt(72)*2)**2)*-3. -4023 - 441*sqrt(2) Simplify 6*(-2*(6*-2*sqrt(252) + sqrt(21)/(sqrt(3)*-2)*-5))**2*-4. -3245928 Simplify ((sqrt(700) + -1*sqrt(700))*-1 + sqrt(700))**2*1 + 1 + sqrt(700) + -2 + -1 + 2 + 3. 10*sqrt(7) + 703 Simplify ((6*-6*((sqrt(162) - (((sqrt(162) + 1 - sqrt(162))*-4 - sqrt(162)) + sqrt(162))) + 1))**2*-3 + 3)*-5 + -5. 1749600*sqrt(2) + 3635260 Simplify ((-2 + sqrt(432) + -5 + (sqrt(432) - (sqrt(432) + -1 + -4)) - (sqrt(432)*-3 + -2)*-2)*4)**2. 11520*sqrt(3) + 173376 Simplify (-1*sqrt(78)/(sqrt(6) + sqrt(150) + sqrt(150)*-1) + sqrt(65)/(sqrt(40)/sqrt(392))*5)**2. 15028 Simplify (((-1 + sqrt(2299) + -3)*-2 + 3 - ((sqrt(2299)*-1 - sqrt(2299))*-5 + (sqrt(2299) - (1 + sqrt(2299))) + -5))*2)**2. -17952*sqrt(19) + 1325380 Simplify 1 + (sqrt(2560) + -3*sqrt(2560)*4 + sqrt(2560) - sqrt(2560))/(sqrt(288) + sqrt(288)*-2 + sqrt(288) + sqrt(512)*-2 + sqrt(512)). 1 + 11*sqrt(5) Simplify 3 + (-5*1*sqrt(171)*1)/((sqrt(216)/(-1*sqrt(6)))/sqrt(4)). 3 + 5*sqrt(19) Simplify (-6*(((sqrt(112)/sqrt(4)*5)/(2*sqrt(256)) - (-2*(sqrt(49) + (sqrt(49) - sqrt(784)))/sqrt(7) + 0)) + -2 + 2))**2. 219303/64 Simplify 6*((-4*-2*sqrt(130) + (sqrt(130) + -6*sqrt(130)*-2 - sqrt(130)))*-6)/(-1*sqrt(1440) + 1*sqrt(10)*2). 72*sqrt(13) Simplify 1*4*sqrt(275) - (-1 + (sqrt(275) - sqrt(275)*4) - sqrt(275)) - (5 + -2*sqrt(1331)*6 + 1)**2. -191699 + 1624*sqrt(11) Simplify 0 + (sqrt(7) - -6*sqrt(35)/sqrt(5) - (-2 + sqrt(448))) - ((2 + sqrt(7) + 3)**2 - (sqrt(7) - (sqrt(7) - sqrt(252))**2)). -205 - 10*sqrt(7) Simplify (sqrt(5200) + (sqrt(5200) - sqrt(5200)*-5) + sqrt(156)/(-3*sqrt(3)) + sqrt(52))/(sqrt(144)/(3*-3*sqrt(9))). -318*sqrt(13) Simplify (-1 + (sqrt(128) + -3)*2*-1 + -1 + 1)*1. -16*sqrt(2) + 5 Simplify -3 + (sqrt(320) + -2 + 0 + -3 + 2)**2*-5. -1648 + 240*sqrt(5) Simplify (-1*((sqrt(891)*-3 - sqrt(11) - (sqrt(11) - 3*sqrt(1100))) + -1 + 1*sqrt(704)*-2))**2. 30*sqrt(11) + 2476 Simplify -1 + (sqrt(88)*2*-5 - (sqrt(88)*1*-4 - sqrt(88)))/((sqrt(72)*-1*-1)/(-2*(sqrt(144) - sqrt(9)))). -1 + 30*sqrt(11) Simplify (-4 + 4 + (((sqrt(240)*-2 - sqrt(240))*-2)/(sqrt(55)/(sqrt(55)/sqrt(5))) + -1)**2)*1. -48*sqrt(3) + 1729 Simplify (2*(4 + 4 + sqrt(468) + -1 + sqrt(468) + 5 + 2))**2. 1344*sqrt(13) + 8272 Simplify ((4*3*sqrt(30) + sqrt(270)*-3)/((-1*sqrt(600) - sqrt(600))*-3*-2))**2. 1/320 Simplify sqrt(10)/((sqrt(45)*4)/sqrt(9)) + 2 + ((sqrt(66)*-2)/sqrt(3))/(2*sqrt(704) - sqrt(11)). 7*sqrt(2)/60 + 2 Simplify (((sqrt(228) + 3*sqrt(228)*1)*-5*1)/(3*(sqrt(300) - -6*(sqrt(300) + sqrt(300)*-2))))**2. 304/225 Simplify 1*((sqrt(175) + sqrt(175)*2 + -5 + sqrt(175) + (sqrt(175) + sqrt(175)*-4)*-6 + sqrt(175) + sqrt(175))*-2*-4)**2*-3. -19358400 + 230400*sqrt(7) Simplify 3 + ((-6*sqrt(24)*2 + sqrt(24) - sqrt(24))/(sqrt(512)*-1))**2 + (((-1*sqrt(84))/sqrt(4))/sqrt(7))**2 + 5. 71/4 Simplify -6*((-4*(sqrt(95) + sqrt(95) + (sqrt(95)*-3 + sqrt(95) - sqrt(95))) - sqrt(95))/sqrt(5) - (-4*sqrt(19)*3 + -4))*1. -90*sqrt(19) - 24 Simplify (5*((sqrt(8)*-6 - -2*(sqrt(2) + sqrt(6)/sqrt(3))) + -4) - (-3*-3*sqrt(4)/sqrt(2) + sqrt(6)/(-1*sqrt(363))))**2. 21520*sqrt(2)/11 + 627288/121 Simplify (1 + -1*(sqrt(405) + -1*sqrt(405) + sqrt(5)) - ((3*sqrt(5) + 3)*2 + 0))**2. 70*sqrt(5) + 270 Simplify ((1*(sqrt(228) - -1*sqrt(228)) + -4*sqrt(228)*1)*4)/(-4*sqrt(576)/(sqrt(36)/sqrt(3))). sqrt(19) Simplify (1*-2*sqrt(190)*5*-1)/((sqrt(10) + ((sqrt(10) - sqrt(40)/sqrt(4)) + sqrt(10))*3 + (sqrt(450) - sqrt(50))/sqrt(5))*-1). -5*sqrt(19)/3 Simplify sqrt(125) + 3 + 5 + -3 - -5*((sqrt(500) + sqrt(500) + 3 + sqrt(500) + 1)**2 + sqrt(500)). 1255*sqrt(5) + 22585 Simplify (-2 + -4 + (sqrt(121) + -3*(sqrt(121) - (sqrt(121) + sqrt(121) + sqrt(121) + -6*sqrt(121))))/(sqrt(11) + sqrt(77)/sqrt(343) - sqrt(11)) + -4)**2. 1540*sqrt(11) + 65319 Simplify (2*(-4*5*(3*sqrt(448) + 1)*-4 + 1))**2. 1244160*sqrt(7) + 103245444 Simplify -5*(-6*(-5 + (sqrt(325)*-3 - sqrt(325)) + sqrt(325)) - (sqrt(156)/(sqrt(54) + sqrt(6)) + sqrt(26))/((sqrt(24)/sqrt(2))/sqrt(6))). -1775*sqrt(13)/4 - 150 Simplify (sqrt(7056)*-2)/(sqrt(112) - (sqrt(112) + sqrt(112)*-1 - sqrt(112))) + (-1 + -2*sqrt(1008) + 1)**2. -3*sqrt(7) + 4032 Simplify 5 + 4 + (-1*(sqrt(1377) - 3*2*sqrt(1377)) + sqrt(1377)*1 + 1 + 3)**2. 432*sqrt(17) + 49597 Simplify 3*((sqrt(33) - (sqrt(528) + -1*sqrt(528)))*3)/((-4*sqrt(110)*-3)/sqrt(10)). 3*sqrt(3)/4 Simplify (((sqrt(153) + sqrt(153) + 2*sqrt(153) + sqrt(153) + sqrt(153))/sqrt(3) + (2*sqrt(153))/sqrt(3))*-3)/(sqrt(363)*-2*-4*4). -3*sqrt(17)/44 Simplify -2*5*1*(1 + (sqrt(363) - (sqrt(363) + -2)) - (-1 + 2*sqrt(363)))**2*2. -29360 + 3520*sqrt(3) Simplify (sqrt(392) + (3*sqrt(392)*2 - sqrt(392) - sqrt(392)) + sqrt(392) + sqrt(392) + sqrt(392) + -3*sqrt(392)*2)/(-1*sqrt(4)*1 + (sqrt(4) + sqrt(144))*4). 14*sqrt(2)/27 Simplify ((2 + 5 + -4*sqrt(72)*-3 + 4)*5)**2. 39600*sqrt(2) + 262225 Simplify (sqrt(880)*-1)/(sqrt(20) + sqrt(80)/sqrt(4)) + -1 + -5 + -4 + 0 + sqrt(11) + -4. -14 Simplify 0 + ((-2 + sqrt(684) + (-5*(-2 + sqrt(684) + sqrt(684)) + sqrt(684) - sqrt(684)) - (sqrt(684)*1 + 0 + 1*(-2*sqrt(684) - sqrt(684)))) + -2)**2. -504*sqrt(19) + 33552 Simplify (sqrt(2) - -4*sqrt(242))**2 - (-2 + (sqrt(162))**2) - (4 + (6*sqrt(10)/sqrt(5) - sqrt(24)/sqrt(48)))**2. -44*sqrt(2) + 7627/2 Simplify ((sqrt(209) + 2*sqrt(209)*3)/(sqrt(176) - sqrt(176)*5))**2*6 + -1. 2665/128 Simplify (sqrt(84)/(sqrt(3) + sqrt(3)*2))/(6*sqrt(144)) - ((sqrt(14) + -2*sqrt(2016))/((sqrt(2)*-1*5 - sqrt(2)) + sqrt(2)))**2. -3703/25 + sqrt(7)/108 Simplify -3*((sqrt(315) + (sqrt(315) - ((sqrt(315) - 1*sqrt(315)) + sqrt(315)) - sqrt(315)))*-4 + sqrt(315)*-2*-3)/((sqrt(125) - -1*sqrt(125))*-2*-1). -27*sqrt(7)/10 Simplify ((sqrt(2448) + -1 + (sqrt(2448) + 2 - sqrt(2448) - sqrt(2448)) + -2)**2 + 6*(sqrt(2448) + (sqrt(2448)*-1 - sqrt(2448)))**2*4)*6. 352518 Simplify -2*(4 + sqrt(7)*2 + -4 + (sqrt(7) - -3*(sqrt(7) + 0)) + sqrt(7) + -1 + 4 + sqrt(7) + (sqrt(63))**2 + 1 + sqrt(7))*-1. 18*sqrt(7) + 134 Simplify -1 + ((sqrt(288) + -5 + sqrt(256)/sqrt(128))**2 - (sqrt(22)/(sqrt(22)/sqrt(2)*-1)*2)**2). -130*sqrt(2) + 354 Simplify ((sqrt(605) - -6*-2*sqrt(605)) + (2*-1*sqrt(605))**2 - 1*sqrt(605)*1*-2)*-6. -14520 + 594*sqrt(5) Simplify ((sqrt(1152) - -2*sqrt(1152))/(sqrt(10)/(sqrt(5)*-1)))/(1*4*sqrt(200)*3). -3*sqrt(2)/10 Simplify 2*(-3*sqrt(108)*1*1*-2*3)**2. 69984 Simplify 3 + ((sqrt(1188) + -1*sqrt(1188) + sqrt(1188) + sqrt(1188) - sqrt(1188)) + sqrt(1188) + 2*sqrt(4752) + sqrt(4752) + sqrt(4752))/(sqrt(108)*5*-1). -2*sqrt(11) + 3 Simplify -5 + (1 + sqrt(3) + 1)**2*-3 - (sqrt(81)/(sqrt(9)*-1))/(2*sqrt(108) + sqrt(108)). -26 - 215*sqrt(3)/18 Simplify -4*(sqrt(250)/(sqrt(40)/(-1*sqrt(8))))**2 + ((sqrt(2) + 0)*5 + (-2*sqrt(2) + -2 - sqrt(2)) + 1 + sqrt(2)*-1 + (3 + sqrt(6)/sqrt(3) - sqrt(2)))**2. -194 + 4*sqrt(2) Simplify -5*(sqrt(847) - ((sqrt(847)*-5 - sqrt(847))*-5 + sqrt(847) + sqrt(847)))**2*-3*-3 + -3 + 3. -36628515 Simplify (sqrt(147)/(1*sqrt(9)/sqrt(3)))/(sqrt(70)/(sqrt(250) + sqrt(250) + sqrt(250)*-5)). -15*sqrt(7) Simplify ((sqrt(95) + (sqrt(95) - 4*sqrt(95)*2))/((sqrt(250)/sqrt(5))/sqrt(10)) - 6*((-1*sqrt(171))/sqrt(9) + -6*sqrt(57)/sqrt(3)))**2. 24624 Simplify 5*6*(2 + -1*-5*-2*sqrt(2299))**2. -13200*sqrt(19) + 6897120 Simplify (-1 + -1*(sqrt(242) + sqrt(242)*-2 + sqrt(242) + 4 + sqrt(242) - -1*(-5 + sqrt(242))))**2. 968 Simplify ((sqrt(48) + sqrt(3) + 1 + sqrt(3) + (sqrt(3) - (0 + sqrt(3))) + -4)*-2)**2 + -1 + -4 + -6*(sqrt(243)*1)**2*3. -3911 - 144*sqrt(3) Simplify ((sqrt(9) + sqrt(81))/sqrt(3))**2 + -1*sqrt(3) + 2 + (-2 + (sqrt(9)/sqrt(3))**2 - ((sqrt(27)*-2 - sqrt(27))/sqrt(9))**2). -sqrt(3) + 24 Simplify 1 + -6*-6*(sqrt(539) - (sqrt(539) + (sqrt(539) - (-1 + sqrt(539) + 4)**2))) + -1 + 2. 1260*sqrt(11) + 19730 Simplify ((sqrt(2) + -2)**2 + 5)*1 + sqrt(10)/(sqrt(30)/sqrt(6)) + sqrt(2) + 0 + 3. -2*sqrt(2) + 14 Simplify -1 + (((sqrt(1100) - (sqrt(1100) + sqrt(1100)*2 - sqrt(1100))*-6) + sqrt(1100) - 4*sqrt(1100)*-2)*2 + -1)**2. -880*sqrt(11) + 2129600 Simplify (5*-1*sqrt(187) - ((sqrt(187)*-4 + sqrt(187))*-1 + sqrt(187)))/(5*(sqrt(539) - sqrt(11
{ "pile_set_name": "DM Mathematics" }
**5. Let l(o) = 0. Calculate o. 0, 1, 2 Suppose -2*z = 2*z - 32. Suppose 0 = z*x - 6 - 10. Factor -10*u + 7*u**3 - 2 - 3*u**3 + 5*u**3 - 16*u**x - 17*u**3. -2*(u + 1)*(2*u + 1)**2 Let j = -44 + 46. Suppose j*g + 12 = 6*g. Solve g*o**2 + 30*o + 128 + 203 - 256 = 0 for o. -5 Suppose -12*x = 10*x - 44. Suppose 4*m**x - 24*m**2 - 14*m**4 + 4*m**4 - 54*m**3 = 0. What is m? -5, -2/5, 0 Let c(y) = 3*y**3 - 18*y**2 + 15*y + 4. Let b be c(1). Let o(z) be the second derivative of 1/16*z**b + 2*z + 3/8*z**3 + 0 + 3/4*z**2. Factor o(f). 3*(f + 1)*(f + 2)/4 Let i be (5/30)/(125/10 + -7). Let f(t) be the third derivative of 1/220*t**6 + i*t**3 - 1/44*t**4 + 0 - 1/330*t**5 + 11*t**2 + 0*t. What is s in f(s) = 0? -1, 1/3, 1 Let s(p) = 2*p + 2. Let k be s(-18). Let f = k - -34. Suppose 3/2*l**4 + 3*l + f - 3/2*l**2 + 9/2*l**5 - 15/2*l**3 = 0. Calculate l. -1, 0, 2/3, 1 Let t(k) = -18*k**3 - 4*k**2 - 47*k - 91. Let q(a) = -14*a**3 - 2*a**2 - 44*a - 92. Let p(n) = -5*q(n) + 4*t(n). Suppose p(m) = 0. Calculate m. -4, -3, 4 Let r(v) = -v**3 + 18*v**2 - 76*v - 29. Let q be r(8). Let x(u) be the first derivative of 1/2*u - 1 - 11/8*u**2 + 3/4*u**q. Suppose x(o) = 0. What is o? 2/9, 1 Suppose 35*d - 156 - 54 = 0. Let k(o) be the second derivative of 0*o**3 - 3/80*o**5 + d*o + 0*o**2 - 1/24*o**4 + 0 + 1/168*o**7 + 0*o**6. Factor k(p). p**2*(p - 2)*(p + 1)**2/4 Let j be (60/(-132))/(10/(-110)). Suppose -3*v + 82 = -j*k + 62, v - 3*k = 12. Factor -4/19*y + 2/19*y**2 + 2/19*y**3 + v. 2*y*(y - 1)*(y + 2)/19 Let u be 2604/(-130)*36/4266. Let t = -6/395 - u. Solve -128/13 - t*g**2 - 32/13*g = 0 for g. -8 Let s = -3 + 5. Let u(k) = k**2 - 14*k + 49. Let a be u(5). Solve 5*i**4 + 3*i**2 + a*i**2 + i**5 - s*i**2 + 8*i**3 - i**2 = 0 for i. -2, -1, 0 Let n(c) be the third derivative of -31*c**6/60 - 103*c**5/5 - 255*c**4 + 200*c**3/3 + 14*c**2 + 29. Factor n(p). -2*(p + 10)**2*(31*p - 2) Factor -18935 - 18939 - 2*s - 2*s + 4*s**3 + 37874. 4*s*(s - 1)*(s + 1) Suppose 0 = 3*h - 18, -4*h + 0*h + 24 = -4*k. Let a(d) be the first derivative of -45*d**3 + k*d + 45/4*d**4 + 39 + 135/2*d**2 - d**5. Factor a(r). -5*r*(r - 3)**3 Suppose 5*j + 0*j = -3*j - 0*j. Let y(d) be the second derivative of -2*d - 3/110*d**5 + 0*d**2 + j - 1/33*d**3 - 2/33*d**4. Find a, given that y(a) = 0. -1, -1/3, 0 Factor -c**4 + 180*c**2 - 7*c**3 + 390 + 796 - 848*c + 30. -(c - 4)**3*(c + 19) Let m(j) be the first derivative of 1/6*j**6 - j**5 - 8 + 10/3*j**3 + 5*j + 5/4*j**4 - 10*j**2. Let s(c) be the first derivative of m(c). What is t in s(t) = 0? -1, 1, 2 Let j(u) be the second derivative of -1/270*u**5 - 9*u + 0 - 15/2*u**2 + 0*u**3 + 1/108*u**4. Let o(x) be the first derivative of j(x). Factor o(a). -2*a*(a - 1)/9 Let c(h) be the first derivative of -h**6/8 - 18*h**5/5 - 177*h**4/8 + 78*h**3 - 507*h**2/8 - 11463. Solve c(d) = 0 for d. -13, 0, 1 Let z be -10 - (-4)/16*-5298. Let t = z - -1335. Determine p, given that t*p**3 + 4*p + 5/2*p**2 + 2 = 0. -2, -1 Let z = 37085 - 111251/3. Factor -1/3*j**5 + 2/3*j**2 - z*j**4 - 4/3*j**3 + 5/3*j + 2/3. -(j - 1)*(j + 1)**3*(j + 2)/3 Let s = 111 - 329/3. Let c = 578845 - 578841. Find p, given that -s - 8/3*p + 0*p**2 + 8/3*p**3 + 4/3*p**c = 0. -1, 1 Let u(b) be the second derivative of -b**5/10 - 131*b**4/3 - 259*b**3/3 + 522*b**2 - 6637*b. Factor u(y). -2*(y - 1)*(y + 2)*(y + 261) Let c(f) be the first derivative of -f**5 + 45*f**4/4 + 270*f**3 + 1270*f**2 + 2280*f + 8740. Find x such that c(x) = 0. -6, -2, 19 Let a be -15*3/30*-6. Suppose 3*l = -2*s + 13, l + a = 4*l. Factor -90/7*b**s + 12*b - 24/7 + 27/7*b**3. 3*(b - 2)*(3*b - 2)**2/7 Suppose -6500 + 6500 = 1505*n. Factor 12/11*h - 6/11*h**4 + 18/11*h**2 + n + 0*h**3. -6*h*(h - 2)*(h + 1)**2/11 Let l(y) be the third derivative of -y**6/420 + 52*y**5/105 + 107*y**4/28 - 6*y**2 - 188. Solve l(f) = 0 for f. -3, 0, 107 Let h(k) be the third derivative of k**6/780 - 8*k**5/195 + 25*k**4/156 + 14*k**3/13 - 1058*k**2. Solve h(u) = 0. -1, 3, 14 Let s(u) be the first derivative of -u**4/2 + 154*u**3/3 - 1815*u**2 + 23958*u - 5991. Suppose s(c) = 0. What is c? 11, 33 Let k(g) = -24*g - 4. Let f(n) = -11*n - 2. Let a(c) = -13*f(c) + 6*k(c). Let t(u) = u**2 + 8*u - 10. Let m(h) = -5*a(h) - t(h). Factor m(s). -s*(s + 3) Let f(o) = o**3. Let k(d) = -7*d**3 + 15*d**2 - 27*d - 122. Let w(g) = 6*f(g) + k(g). Let q(t) be the first derivative of w(t). Factor q(v). -3*(v - 9)*(v - 1) Suppose 27*u - 251 + 405 - 235 = 0. Let x(n) be the third derivative of -1/6*n**5 + 0 + 5/24*n**4 + 5/3*n**u - 1/24*n**6 + 0*n - 10*n**2. Factor x(d). -5*(d - 1)*(d + 1)*(d + 2) Let m(j) = 37*j**3 - 11*j**2 + 4*j + 10. Let k(r) = 7*r**3 - r**2 + 2. Let i(f) = -5*k(f) + m(f). Suppose i(l) = 0. What is l? 0, 1, 2 Let j(p) be the third derivative of 41*p**5/105 - 37*p**4/21 - 32*p**3/21 - p**2 - 1402*p. Suppose j(b) = 0. What is b? -8/41, 2 Let q(j) be the first derivative of 75*j**5 + 60*j**4 - 47*j**3 - 3*j**2 - 5003. What is v in q(v) = 0? -1, -1/25, 0, 2/5 Let d be 19558/3302 - 2/(-26). Let h(l) be the first derivative of d*l**3 + 0*l - 1/2*l**4 + 8 + 0*l**2. Factor h(n). -2*n**2*(n - 9) Factor -1/4*a**2 - 945/4 - 33/2*a. -(a + 21)*(a + 45)/4 Determine k so that 38/3*k + 16/3*k**4 - 2/3*k**5 - 8 - 12*k**3 + 8/3*k**2 = 0. -1, 1, 3, 4 Suppose 11*k = -3*k + 7*k. Let h(t) be the second derivative of -8*t + 1/2*t**5 - 5/6*t**3 + 0*t**6 + 0*t**2 - 5/42*t**7 + 0 + k*t**4. Factor h(m). -5*m*(m - 1)**2*(m + 1)**2 Let s be 0 + 2 + (-13)/(39/342). Let g be (s/20)/(2/(-35)). Factor g*y**2 - 102*y**2 + 14 + 2 + 12*y. -4*(y - 4)*(y + 1) Let c(k) be the third derivative of -1/90*k**5 - 232*k**2 + 25/36*k**4 - 46/9*k**3 + 0 + 0*k. Factor c(u). -2*(u - 23)*(u - 2)/3 Let c be (4/(-18))/(-10 + 1437/144). Let m(o) be the third derivative of 0 + 0*o + 4/3*o**4 + 10*o**2 + c*o**3 + 1/15*o**5. Factor m(g). 4*(g + 4)**2 Suppose -247*a - 2*a**3 - 5*a**2 + a**3 - 35*a**2 + 261661 - 286*a - 264027 = 0. What is a? -14, -13 Suppose 3*n + b - 24 = 1, n + 4*b = -10. Let d be (4/n)/1 - (-594)/1815. Determine y so that 2*y**2 - 14/11*y**4 - 4/11*y**3 - 4/11*y**5 - d + 8/11*y = 0. -2, -1, 1/2, 1 Let s(w) be the third derivative of 6*w**2 + 1/15*w**5 + 0*w**4 + 9*w - 2/3*w**3 + 0. Determine y so that s(y) = 0. -1, 1 What is o in 0 + 174/5*o - 524/5*o**2 + 2/5*o**5 + 528/5*o**3 - 36*o**4 = 0? 0, 1, 87 Let 2/15*r**3 + 48/5 - 4/15*r**2 - 142/15*r = 0. Calculate r. -8, 1, 9 Let y(t) be the first derivative of -5*t**6/6 + 224*t**5 - 61585*t**4/4 - 127690*t**3/3 - 4365. Factor y(o). -5*o**2*(o - 113)**2*(o + 2) Let w = -121 - -165. Suppose w*q = 55*q - 44. Find l such that -2/3*l**q + 0 + 0*l**3 + 0*l + 2/3*l**2 = 0. -1, 0, 1 Find f such that -57 - 5/6*f**2 + 43/2*f = 0. 3, 114/5 Let i = -225601 - -225603. Solve 0 + 2/11*b**5 + 0*b + 8/11*b**i - 6/11*b**4 + 0*b**3 = 0 for b. -1, 0, 2 Let b(k) be the first derivative of -2016*k**3 - 729*k**6 - 3132*k**4 + 213 - 64*k - 11988/5*k**5 - 624*k**2. Find f such that b(f) = 0. -2/3, -2/27 Find w, given that 220446*w - 71931*w**2 - 1323/2*w**3 - 3/2*w**4 - 147852 = 0. -222, 1, 2 Let g(v) be the third derivative of -v**6/780 - 5323*v**5/390 - 2362081*v**4/52 - 2360307*v**3/13 + 669*v**2. Factor g(b). -2*(b + 1)*(b + 2661)**2/13 Let t(g) be the third derivative of -g**5/210 + 779*g**4/42 - 606841*g**3/21 + 2*g**2 + 250*g - 1. Factor t(a). -2*(a - 779)**2/7 Let r(u) be the first derivative of u**3/6 + 19*u**2/4 + 24*u + 1027. Determine t so that r(t) = 0. -16, -3 Suppose u - 10 = -5*c - 3, 0 = -4*c + 4. Let i be 182/(-35) + 5 - (u + -3). Factor 2*d - i + 2/5*d**3 - 8/5*d**2. 2*(d - 2)*(d - 1)**2/5 Let i(v) be the third derivative of v**5/330 + 65*v**4/132 + 676*v**3/33 - 2*v**2 - 13*v + 22. Determine h so that i(h) = 0. -52, -13 Let m(j) = -j + 2. Let z(n) = 2*n**3 + 12*n**2 - 77*n + 66. Let i(l) = l**2 + l - 93. Let c be i(9). Let u(s) = c*m(s) + z(s). Factor u(x). 2*(x - 3)*(x - 1)*(x + 10) Let z(v) be the first derivative of 0*v**4 + 2*v**2 + 0*v**5 + 0*v**3 - 6 + 0*v + 0*v**6 - 1/735*v**7. Let c(d) be the second derivative of z(d). Factor c(w). -2*w**4/7 Let n(j) be the first derivative of j**4/6 - 5*j**3 + 11*j**2/3 + 5682. Factor n(m). m*(m - 22)*(2*m - 1)/3 Let v be 2/(-3)*(-40 - 248). Find d, given that -d**2 + 99*d + 7203 + 3*d + 4*d**2 + v*
{ "pile_set_name": "DM Mathematics" }
ded by 2185670. 0 What is the remainder when 1003303 is divided by 508? 3 Calculate the remainder when 15230203 is divided by 14. 9 Calculate the remainder when 59703136 is divided by 1596. 1564 What is the remainder when 166878 is divided by 1184? 1118 What is the remainder when 21090934 is divided by 139675? 9 What is the remainder when 796188 is divided by 23? 20 What is the remainder when 12088 is divided by 3697? 997 What is the remainder when 122375 is divided by 13492? 947 Calculate the remainder when 26331 is divided by 3810. 3471 What is the remainder when 321812 is divided by 106227? 3131 Calculate the remainder when 304184 is divided by 27600. 584 Calculate the remainder when 27558868 is divided by 6889716. 4 What is the remainder when 98937 is divided by 697? 660 What is the remainder when 1526984 is divided by 17753? 226 Calculate the remainder when 5954090 is divided by 4573. 44 What is the remainder when 53217 is divided by 436? 25 Calculate the remainder when 109173511 is divided by 155. 36 What is the remainder when 391204 is divided by 38? 32 What is the remainder when 5982420 is divided by 674? 670 Calculate the remainder when 49694 is divided by 24635. 424 Calculate the remainder when 878262 is divided by 2467. 10 Calculate the remainder when 746521 is divided by 279. 196 Calculate the remainder when 1585712 is divided by 792794. 124 What is the remainder when 89848 is divided by 1548? 64 Calculate the remainder when 813538 is divided by 270602. 1732 What is the remainder when 407699 is divided by 405739? 1960 What is the remainder when 155810 is divided by 7413? 137 What is the remainder when 17036957 is divided by 2782? 2771 Calculate the remainder when 4559797 is divided by 254. 243 What is the remainder when 187415 is divided by 37472? 55 What is the remainder when 1226034 is divided by 76623? 66 Calculate the remainder when 226088 is divided by 469. 30 Calculate the remainder when 1523953 is divided by 507980. 13 Calculate the remainder when 4059439 is divided by 1410. 49 Calculate the remainder when 1720880 is divided by 37409. 66 What is the remainder when 78623 is divided by 9776? 415 Calculate the remainder when 9057964 is divided by 74. 68 What is the remainder when 649878 is divided by 51? 36 Calculate the remainder when 1598841 is divided by 79. 39 What is the remainder when 222917 is divided by 40? 37 Calculate the remainder when 121565975 is divided by 90. 5 Calculate the remainder when 14954048 is divided by 99. 98 What is the remainder when 1166722 is divided by 235? 182 What is the remainder when 14847745 is divided by 4675? 4620 Calculate the remainder when 37180710 is divided by 119. 112 Calculate the remainder when 215708 is divided by 256. 156 Calculate the remainder when 32926998 is divided by 636. 6 Calculate the remainder when 3036572 is divided by 1139. 1137 What is the remainder when 3298263 is divided by 15? 3 Calculate the remainder when 10250240 is divided by 292864. 0 What is the remainder when 42741 is divided by 2085? 1041 What is the remainder when 3592501 is divided by 684? 133 What is the remainder when 122587 is divided by 975? 712 Calculate the remainder when 2203484 is divided by 168. 164 What is the remainder when 200422 is divided by 789? 16 What is the remainder when 795825 is divided by 795400? 425 What is the remainder when 145295 is divided by 21? 17 Calculate the remainder when 59602 is divided by 1776. 994 Calculate the remainder when 7609 is divided by 1686. 865 What is the remainder when 11725116 is divided by 17167? 55 What is the remainder when 242193 is divided by 10195? 7708 What is the remainder when 2718541 is divided by 1359224? 93 Calculate the remainder when 409770 is divided by 31520. 10 Calculate the remainder when 57449766 is divided by 2693. 2690 What is the remainder when 929246384 is divided by 84? 80 Calculate the remainder when 2339430396 is divided by 9. 6 What is the remainder when 163461 is divided by 32690? 11 Calculate the remainder when 110833 is divided by 1652. 149 What is the remainder when 3132926 is divided by 1915? 1901 What is the remainder when 18776 is divided by 18402? 374 Calculate the remainder when 66216 is divided by 1477. 1228 What is the remainder when 36187873 is divided by 7237572? 13 Calculate the remainder when 7663442 is divided by 3010. 2992 What is the remainder when 431263 is divided by 906? 7 What is the remainder when 3223008 is divided by 153? 63 Calculate the remainder when 6356078 is divided by 52967. 38 Calculate the remainder when 91805 is divided by 30459. 428 Calculate the remainder when 1201292 is divided by 10094. 106 What is the remainder when 815586 is divided by 161978? 5696 What is the remainder when 50889 is divided by 2133? 1830 Calculate the remainder when 228376398 is divided by 350. 348 What is the remainder when 106929 is divided by 52490? 1949 What is the remainder when 49512136 is divided by 17759? 44 What is the remainder when 113227 is divided by 6010? 5047 What is the remainder when 88120 is divided by 5171? 213 Calculate the remainder when 1972773 is divided by 160. 133 What is the remainder when 104956 is divided by 763? 425 What is the remainder when 164429301 is divided by 83? 76 Calculate the remainder when 1703086 is divided by 849. 841 What is the remainder when 1329140 is divided by 8801? 189 Calculate the remainder when 1105176 is divided by 378. 282 What is the remainder when 4750838 is divided by 3732? 2 What is the remainder when 277589 is divided by 2319? 1628 What is the remainder when 841259954 is divided by 129? 128 What is the remainder when 2867217 is divided by 987? 969 What is the remainder when 1297948 is divided by 432532? 352 What is the remainder when 1537504 is divided by 728? 696 What is the remainder when 77633468 is divided by 4973? 4938 Calculate the remainder when 2340479 is divided by 30006. 11 What is the remainder when 6637920 is divided by 39746? 338 What is the remainder when 339636 is divided by 4536? 3972 What is the remainder when 21194073 is divided by 25? 23 Calculate the remainder when 340160 is divided by 8099. 2 What is the remainder when 670741 is divided by 750? 241 Calculate the remainder when 42025725 is divided by 10506422. 37 Calculate the remainder when 2588826 is divided by 112546. 268 What is the remainder when 222750 is divided by 11190? 10140 Calculate the remainder when 180056 is divided by 112. 72 What is the remainder when 2672899 is divided by 100? 99 Calculate the remainder when 220555 is divided by 8798. 605 What is the remainder when 1042884 is divided by 137? 40 Calculate the remainder when 8503006 is divided by 5820. 5806 What is the remainder when 31924 is divided by 2293? 2115 Calculate the remainder when 369479058 is divided by 63. 60 What is the remainder when 4941383 is divided by 2? 1 What is the remainder when 610149734 is divided by 763? 761 What is the remainder when 608221 is divided by 4571? 278 Calculate the remainder when 26383520 is divided by 389. 373 What is the remainder when 2562813 is divided by 225? 63 What is the remainder when 1577450 is divided by 356? 14 What is the remainder when 119333 is divided by 119266? 67 Calculate the remainder when 2330324 is divided by 804. 332 Calculate the remainder when 41597 is divided by 2928. 605 Calculate the remainder when 44581775 is divided by 33048. 23 What is the remainder when 11745622 is divided by 1766? 1722 Calculate the remainder when 23323332 is divided by 7774439. 15 What is the remainder when 2007706 is divided by 87? 7 What is the remainder when 37416384 is divided by 12472126? 6 Calculate the remainder when 89657 is divided by 12790. 127 What is the remainder when 15940710 is divided by 1328384? 102 Calculate the remainder when 233279 is divided by 116403. 473 What is the remainder when 32241 is divided by 8036? 97 Calculate the remainder when 26229 is divided by 26202. 27 Calculate the remainder when 25834864 is divided by 867. 865 Calculate the remainder when 9081531 is divided by 14. 11 What is the remainder when 798032209 is divided by 167? 164 Calculate the remainder when 11624248 is divided by 150. 148 Calculate the remainder when 1718831859 is divided by 387.
{ "pile_set_name": "DM Mathematics" }
*2 + 19*t + 1. Determine a(-13). -77 Let g(o) = -2*o**2 - 2*o - 22. Calculate g(0). -22 Let l(z) = z**3 - 11*z**2 + 19*z - 29. Determine l(10). 61 Let r(k) = -k - 1. What is r(11)? -12 Let z(j) = j + 7. What is z(-6)? 1 Let h(l) = -l**3 + 12*l**2 - 34*l + 24. Calculate h(9). -39 Let i(b) = b**2 + 2*b + 1. Determine i(-2). 1 Let s(q) = q**3 - 15*q**2 + q - 16. What is s(15)? -1 Let v(h) = -2*h - 25. Calculate v(-11). -3 Let i(c) = -c**3 - 2*c**2 - 3*c - 5. What is i(-2)? 1 Let k(t) = 35*t**2 - 1. Calculate k(1). 34 Let j(f) = -f**2 - 7*f - 3. Determine j(-5). 7 Let t(w) = -2*w**3 + 8*w - 13. Determine t(-5). 197 Let k(n) = 3*n + 30. What is k(-7)? 9 Let o(u) = -u - 3. Calculate o(13). -16 Let o(j) = -j**2 - 8*j - 5. Determine o(-8). -5 Let m(w) = -w**3 + 5*w**2 + 5*w + 7. Determine m(6). 1 Let w(p) = 9*p + 4. Determine w(0). 4 Let l(j) = j**3 + 13*j**2 - 18*j - 51. Give l(-14). 5 Let w(v) = -15*v - 1. Give w(1). -16 Let i(q) = 2*q**2 - 10*q + 12. Calculate i(4). 4 Let l(z) = -2*z**3 + 6*z**2 - 4*z - 1. What is l(1)? -1 Let a(t) = -t**3 + 20*t**2 - 31*t - 20. Determine a(18). 70 Let g(a) = -a**2 + 8*a + 21. What is g(11)? -12 Let n(f) = f**2 - 31*f + 215. Calculate n(21). 5 Let n(y) = 4*y**2 + 98*y + 50. Determine n(-24). 2 Let x(f) = -f**2 - 2*f + 13. What is x(-4)? 5 Let r(y) = y**2 + 6*y + 8. What is r(-2)? 0 Let v(c) = -2*c - 29. Give v(-14). -1 Let a(f) = -f + 19. Calculate a(22). -3 Let z(r) = 15*r - 25. Determine z(1). -10 Let m(x) = -x**2 - 6*x + 9. Give m(-8). -7 Let c(j) = -31*j - 212. Calculate c(-7). 5 Let h(m) = -3*m + 46. Give h(3). 37 Let p(m) = 14*m + 1. Calculate p(-4). -55 Let r(v) = -2*v**2 - 46*v - 6. Determine r(-23). -6 Let l(q) = 6*q - 27. Give l(9). 27 Let a(h) = -h**3 - 11*h**2 + 6*h - 5. Give a(-12). 67 Let f(j) = -j**3 + 3*j**2 - 2*j + 2. What is f(2)? 2 Let h(s) = -s**2 - 13*s + 55. Determine h(-17). -13 Let s(m) = -m**2 + 16*m - 10. Calculate s(11). 45 Let q(o) = -o - 33. Determine q(-17). -16 Let i(r) = -r**2 + 6*r + 4. Determine i(8). -12 Let m(t) = t**2 + 4*t + 12. What is m(-5)? 17 Let r(s) = 3*s**2 + 27*s + 3. Give r(-9). 3 Let b(f) = 8*f + 7. Determine b(-1). -1 Let i(u) = 78*u**3 - u**2. What is i(1)? 77 Let s(a) = a**2 - 13*a + 14. What is s(11)? -8 Let o(y) = -5*y**3 - 2*y - 1. Calculate o(-1). 6 Let y(b) = 11*b - 40. Give y(4). 4 Let z(t) = -t + 30. Give z(14). 16 Let l(g) = 5*g - 156. Calculate l(33). 9 Let l(x) = -x**2 - 2*x + 111. Determine l(0). 111 Let z(y) = 4*y**2 + 52*y + 134. Determine z(-3). 14 Let u(y) = -19*y + 34. Give u(2). -4 Let c(z) = -6*z - 83. What is c(-9)? -29 Let c(f) = -f**2 - 14*f + 2. Determine c(-10). 42 Let h(f) = f**3 + 3*f**2 - 3*f + 15. Give h(-5). -20 Let c(l) = 3*l**3 - 4*l + 3. What is c(1)? 2 Let m(t) = -t**3 - 21*t**2 - 25*t - 97. Calculate m(-20). 3 Let z(m) = m**3 - 10*m**2 + 6*m + 3. Determine z(9). -24 Let t(j) = j**2 - 6*j - 5. Calculate t(6). -5 Let m(i) = i**2 + 17*i + 12. Determine m(-13). -40 Let m(q) = -4*q**2 + 95*q + 22. Give m(24). -2 Let d(i) = 4*i - 5. Calculate d(-5). -25 Let u(q) = -q**2 + 6. Calculate u(6). -30 Let k(h) = h**3 - 24*h**2 + 44*h + 31. Calculate k(22). 31 Let q(w) = -173*w + 350. Determine q(2). 4 Let q(f) = -f + 43. Give q(19). 24 Let h(i) = -i**2 - 17*i - 28. What is h(-18)? -46 Let y(b) = 4*b - 3. What is y(1)? 1 Let z(b) = -b**3 + 9*b**2 - 35*b + 107. Calculate z(6). 5 Let w(c) = -c**2 + 3*c - 7. Determine w(5). -17 Let c(a) = -a - 13. What is c(-11)? -2 Let v(z) = z**2 + 15*z + 32. Give v(-3). -4 Let b(f) = -f**2 - 17*f + 8. Determine b(-18). -10 Let x(y) = -y - 20. What is x(14)? -34 Let r(u) = u**3 - 11*u**2 + 7*u - 11. What is r(10)? -41 Let n(j) = -j**3 + 7*j**2 + 7*j + 8. Determine n(8). 0 Let y(p) = p**3 + 4*p**2 - 4*p + 1. What is y(-5)? -4 Let w(p) = -p - 19. Determine w(0). -19 Let i(m) = 2*m**3 - 6*m**2 + 5*m - 2. Calculate i(4). 50 Let h(a) = -a**3 + 15*a**2 - 19*a + 62. Determine h(14). -8 Let j(c) = -51*c**3 + c**2 + c - 1. Calculate j(1). -50 Let a(j) = 10*j - 11. What is a(-2)? -31 Let y(s) = -10*s + 239. Calculate y(25). -11 Let k(n) = 8*n + 1. Give k(1). 9 Let w(v) = v**3 + 19*v**2 - v - 5. Calculate w(-19). 14 Let q(j) = -47*j**3 - 2*j**2 - j + 2. Determine q(1). -48 Let o(a) = -a**2 + 14*a - 13. Calculate o(9). 32 Let j(h) = -8*h**3 - 2*h**2 + 2. Give j(1). -8 Let w(p) = p**3 + 13*p**2 + 10*p - 7. Give w(-12). 17 Let k(t) = 33*t**3 - t**2 - 2*t - 1. What is k(-1)? -33 Let p(d) = -d**3 + 10*d**2 - 13*d + 12. Calculate p(9). -24 Let m(f) = 5*f + 66. What is m(-11)? 11 Let a(u) = -4*u + 34. Give a(14). -22 Let x(u) = u**2 - 8*u + 12. What is x(7)? 5 Let v(f) = f**2 - 8*f + 5. What is v(5)? -10 Let p(k) = 6*k - 5. What is p(2)? 7 Let n(a) = 2*a**3 - a**2 + 2*a + 8. What is n(0)? 8 Let f(v) = -10*v - 2. Calculate f(-1). 8 Let h(a) = a**2 + 49*a + 61. Give h(-47). -33 Let l(a) = -a**3 - 5*a**2 + 6*a + 2. Give l(-6). 2 Let y(o) = 12*o**3 + 1. Calculate y(1). 13 Let n(m) = m**3 - 3*m + 3. What is n(2)? 5 Let c(z) = z**2 - 7*z - 17. Calculate c(7). -17 Let x(w) = w**3 + w**2 - 3*w - 3. What is x(-2)? -1 Let j(s) = -s**2 - 33*s - 67. Give j(-31). -5 Let z(h) = -h**2 + 13*h - 45. Determine z(4). -9 Let v(s) = 2*s**2 + 4*s + 4. Determine v(-3). 10 Let u(a) = -a**3 + 14*a**2 - 11*a - 15. Calculate u(13). 11 Let c(j) = 3*j - 16. What is c(6)? 2 Let g(v) = 104*v + 404. Determine g(-4). -12 Let d(t) = t**3 + 3*t**2 + 2*t - 32. Give d(-5). -92 Let w(b) = -b - 14. Determine w(-9). -5 Let j(c) = 4*c - 105. Give j(24). -9 Let n(g) = g**3 + 6*g**2 - 5*g + 15. What is n(-7)? 1 Let f(a) = -20*a**2 - 1. Calculate f(1). -21 Let x(o) = -2*o**3 - 2*o**2 + 3*o + 3. Calculate x(-3). 30 Let s(o) = o**3 + 11*o**2 - 13*o - 2. Give s(-12). 10 Let h(p) = p**2 + 7*p - 7. Give h(-7). -7 Let k(h) = -23*h + 7. Give k(2). -39 Let u(g) = 6*g - 15. What is u(4)? 9 Let k(l) = l**2 - 30*l - 113. Calculate k(32). -49 Let v(j) = 3*j - 2. Calculate v(8). 22 Let v(x) = -8*x + 1. Determine v(-1). 9 Let a(u) = 27*u**2 - 4*u. Calculate a(1). 23 Let h(t) = t**3 - 11*t**2 + 29*t - 1. Give h(7). 6 Let r(t) = -t - 1. Give r(-1). 0 Let u(c) = c**3 + 9*c**2 + 12*c + 28. What is u(-8)? -4 Let o(v) = 2*v**2 - v - 13. What is o(-3)? 8 Let g(o) = -o**2 - 6*o - 15. What is g(-6)? -15 Let l(d) = d**3 + 13*d**2 + 22*d + 25. Calculate l(-11). 25 Let n(u) = -u**3 - 56*u**2 + 114*u - 110. Calculate n(-58). 6 Let v(w) = w**3 + 13*w**2 - 14*w + 9. Determine v(-14). 9 Let v(w) = 8*w**2 - w + 2. What is v(2)? 32 Let w(k) = -11*k + 6. Give w(1). -5 Let g(p) = 3*p + 100. Give g(-34). -2 Let l(c) = -58*c + 414. Give l(7). 8 Let f(i) = -i**3 - 15*i**2 + 16*i + 7. Calculate f(-16). 7 Let d(f) = -3*f**2 - 58*f + 18. Calculate d(-20). -22 Let f(l) = l - 1. What is f(-2)? -3 Let k(s) = -s**3 + 20*s**2 - 35*s - 15. Determine k(18). 3 Let x(h) = h**3 + 9*h**2 + h + 7. Give x(-9). -2 Let n(l) = 12*l**2 + l + 1. Calculate n(2). 51 Let f(c) = c**2 + c - 5. Give f(4). 15 Let c(a) = -a**3 - 5*a**2 - 3*a + 9. What is c(-5)? 24 Let v(j) = -j**2 + 17*j - 35. Determine v(10). 35 Let b(a) = -2*a**2 + 2*a + 4. What is b(3)? -8 Let q(m) = 2*m**2 - m - 14. Calculate q(-3). 7 Let v(a) = -a**2 + 10*a + 7. Determine v(11). -4 Let r(q) = 5*q**3 - 3*q**2 + 5*q - 5. Calculate r(2). 33 Let w(v) = -v**2 - 21*v + 19. Determine w(-22). -3 Let p(m) = -m**2 + 6*m - 5. Give p(6). -5 Let i(a) = 2*a**3 - 9*a**2 + 7*a + 1. Calculate i(2). -5 Let a(y) = -3*y + 68. Determine a(21). 5 Let i(f) = 3*f**2 - 14*f + 8. Give i(4). 0 Let z(k) = 3*k - 12. Calculate z(6). 6 Let g(c) = 3*c**2 - 129*c - 136. What is g(44)? -4 Let r(l) = -l**2 + 5*l - 17. Determine r(0). -17 Let v(q) = 3*q - 1. Determine v(7). 20 Let i(f) = -f**3 + 7*f**2 - 8*f + 3. What is i(4)? 19 Let c(x) = -x**3 - 17*x**2 + 2*x + 29. Determine c(-17). -5 Let w(n) = n**2 - 9*n - 32. What is w(12)? 4 Let n(x) = x**2 - 15*x + 32. Determine n(12). -4 Let h(t) = -t**3 - t**2 + 4*t - 3. Give h(2). -7 Let n(f) = -f**2 + f + 22. Determine n(-8). -50 Let p(i) = -i**2 + 18*i - 71. Give p(10). 9 Let j(q) = 76*q**3 - q**2. Give j(1). 75 Let n(s) = -s**3 - 4*s**2 - 4*s - 5. Calculate n(-2). -5 Let d(m) = -m**2 + 13*m - 28. What is d(7)? 14 Let u(v) = 2*v - 4. What is u(-10)? -24 Let q(j) = j**2 - 24*j - 105. Calculate q(28). 7 Let w(r) = -17*r**2 + r + 1. Determine w(-1). -17
{ "pile_set_name": "DM Mathematics" }
ppose 5*o + 0*o = -10, 3490 = 5*g + 5*o. Suppose 10*m - 5*m - g = 0. Suppose 4*k = 2*y - m, 3*k + 62 = 4*y - 193. List the prime factors of y. 2, 3, 5 Suppose 70 = p - 5*q, -4*p - 147 = 3*q - 427. What are the prime factors of (-1)/5 - (-3934)/p? 2, 7 List the prime factors of 9/((-90)/(-23572)) - (-4)/5. 2, 3, 131 Let r(c) = 1 - c**2 - 9*c + 2 + 20. What are the prime factors of r(-8)? 31 Let h(t) = 151*t**2 - 16*t + 27. List the prime factors of h(2). 599 Let s be -6*(1/2 + -3). Let q be (-139)/3 + 5/s. Let d = q - -69. List the prime factors of d. 23 Suppose 5*h + 3202 = c, 3*c - h = 9731 - 97. What are the prime factors of c? 2, 11, 73 Let i = 0 - -32. Let u be -4 + 5 + (-7)/1. Let d = u + i. What are the prime factors of d? 2, 13 Let s(z) be the third derivative of -z**5/60 - 5*z**4/12 + 7*z**3/6 - 3*z**2. Let k be s(-11). What are the prime factors of (-86)/k + 7/(-14)? 3, 7 Suppose -p - 1 = 0, 4*p + 27 + 3853 = 3*g. List the prime factors of g. 2, 17, 19 Let j be 1*2289/(-9)*-3. Suppose 3*s - o - j = o, 0 = 4*s - 4*o - 1016. List the prime factors of s. 3, 5, 17 Let c(n) = -n**2 + 3*n + 3. Let j be c(4). What are the prime factors of 24 - j/((-3)/(-12))? 2, 7 Let p be -1*(4 - (3 - -286)). Suppose -30 = -5*v + p. List the prime factors of v. 3, 7 Let c(n) = -799*n + 2. What are the prime factors of c(-1)? 3, 89 Suppose x - 22 = -19. What are the prime factors of 2 - (-57)/x - -2? 23 Let p(c) = c**3 + 8*c**2 + 7*c + 5. Let j be 2/(-7) - 312/84. Let v = j - 1. What are the prime factors of p(v)? 3, 5 Let n be 3 + (-5 - -3 - -15). Let g = 52 - n. What are the prime factors of g? 2, 3 Let v(n) = 11*n**2 - 2*n. Suppose 10*f = 3*f + 14. What are the prime factors of v(f)? 2, 5 Let t be 15/25 - (-111)/15. Let x = t + -2. List the prime factors of x/(-6) + 24*1. 23 Suppose -5*q - 33*q = -14402. List the prime factors of q. 379 Suppose -7*b + 424 = -80. List the prime factors of b. 2, 3 Let g(l) = 92*l**2 - l - 2. What are the prime factors of g(4)? 2, 733 Suppose a + 0*r = r - 2, -3*a = -5*r + 14. Suppose 9 = -a*f + 5*f. Suppose f*k = -5 + 38. List the prime factors of k. 11 Let x(t) be the first derivative of -2*t**2 - 4 + 5/3*t**3 + 2*t. What are the prime factors of x(2)? 2, 7 Suppose -d + 1358 = d + 4*z, 3*d - 5*z = 2026. What are the prime factors of d? 677 Let q be 6/5*(-30)/12. Let n be 1 + (-6 - q) + 4. Suppose 0 = -2*b + t + 6, n*b - 2 + 6 = -4*t. What are the prime factors of b? 2 Suppose -j + 66 = c, 2*j - 3*c + 259 = 6*j. Let a = j - 11. What are the prime factors of a? 2, 5 What are the prime factors of (-53 + 209)*(11 + 2)? 2, 3, 13 Let v(y) = 6*y**2 - 12*y - 42. List the prime factors of v(-27). 2, 3, 97 List the prime factors of (-2720)/(-12)*30/20. 2, 5, 17 Let a be 1 - (3 - (-16 + 2)). Let j = 22 + a. Suppose 0*m + m - j = 0. What are the prime factors of m? 2, 3 Let n = -8 + 9. Let o = 3 - -6. Let q = o - n. List the prime factors of q. 2 Suppose -5*z = 3*i + 7, 4*i - 2*z = 2*z + 12. Let w be (-5)/(-3 + i + 1). Suppose -3*u - 5*q = -58, -2*u = -w*q - 0 + 3. List the prime factors of u. 11 Let l = 5 - 4. Let z be l/(-5) - 5/(-25). Suppose -c - 3*c + 12 = z. What are the prime factors of c? 3 Let x(u) = -u**3 + 17*u**2 + 4*u - 16. Let v be x(17). Let m = -10 + v. List the prime factors of m. 2, 3, 7 Suppose -44*c + 48*c - 1140 = 0. List the prime factors of c. 3, 5, 19 Let c be (-14)/(-21) - (-49)/3. Let m = c - 14. Suppose 0 = -2*j - 2*o + 5*o + 59, 0 = -m*j + 4*o + 86. What are the prime factors of j? 2, 11 Let t be 39/5 - 1/(-5). Let d = -8 + t. Let z = 7 + d. List the prime factors of z. 7 Suppose 5*j - 2*c = 1181, -25*c + 21*c = j - 223. List the prime factors of j. 5, 47 Let c(p) = 30*p**2 - 135*p + 2. List the prime factors of c(-7). 2417 Suppose 5*j = 18*j - 26. Suppose j*w = r - 100, -3*r = 7*w - 2*w - 355. List the prime factors of r. 2, 5, 11 Suppose 0 = 5*m - 0*i + 2*i - 115, -120 = -5*m - 3*i. Let z = 29 - m. Let p(a) = a**3 - 7*a**2 - a + 11. What are the prime factors of p(z)? 67 What are the prime factors of (-6)/(705/(-140) + 5)? 2, 3, 7 Let c(r) = 2*r**3 - 2*r**2 + 2*r. Let a be 24/10 + (-6)/15. Let v be c(a). Suppose -k + 7 = -v. List the prime factors of k. 19 Let v be ((-8)/32)/(1/(-20)). Suppose -n + 4*j + 27 = 0, -2*n + n + v*j + 24 = 0. List the prime factors of n. 3, 13 Let t = -2039 + 3617. Suppose 2*l = 8*l - t. What are the prime factors of l? 263 Let r be (-6)/(-4)*(-8)/(-12). Let n be (-1 - r - -18) + -1. Suppose n = 2*t - 15. What are the prime factors of t? 3, 5 Let u = -542 - -248. What are the prime factors of (-2 - -13 - -1)*u/(-28)? 2, 3, 7 Let j(c) = 6*c - c**3 - 14 - c**3 - 6*c**2 + c**3. Suppose -5 = -2*w + 1, 28 = -2*g + 4*w. List the prime factors of j(g). 2, 3, 11 Let n = 246 + 501. What are the prime factors of n? 3, 83 Let g be (-9)/6*(-32)/6 - -2. Let p = g - 6. List the prime factors of p. 2 Suppose 4*a - 3*a - b - 46 = 0, 5*b + 5 = 0. Suppose -4*s - a = -i, -3*i - 5*s + 48 = -19. Let r = 21 + i. What are the prime factors of r? 2, 5 Let l be 10/(-4)*32/(-40). Suppose l*d - 63 = 71. What are the prime factors of d? 67 Let w be (-2)/8 - (-38)/(-8). Let m(s) = 2*s**2 + 2*s + 5. Let h(x) = -2*x**2 - 2*x - 6. Let k(i) = -7*h(i) - 6*m(i). List the prime factors of k(w). 2, 13 Suppose 4*c - 3*p = -0*p + 23, 5*p + 19 = -3*c. Suppose 6*b - c*b - 268 = 0. What are the prime factors of b? 67 Suppose 2*x - 2*u + 3304 = 5*x, -2*x + 2*u = -2196. Suppose -x = -5*n - 5*i, 4*n = -i - i + 874. List the prime factors of n. 7, 31 Suppose p + 0*h - 2*h = 45, -54 = -p + 5*h. What are the prime factors of p? 3, 13 Suppose -4*x = 2*z - 362, -6*x + 3*x - 5*z = -268. List the prime factors of x. 7, 13 Let d be 41/3 + (-3)/(-9). Let i = d + 123. List the prime factors of i. 137 Let w(i) = 6*i + 23. What are the prime factors of w(1)? 29 Suppose -11*k = k - 1020. Suppose 4*v - k = 39. What are the prime factors of v? 31 Let m = -70 - -62. List the prime factors of (m/5)/(2/(-50)). 2, 5 What are the prime factors of (-24)/8 - 57*-30? 3, 569 Suppose 0*k = -k + 114. Let u = 164 - k. What are the prime factors of u? 2, 5 Let q be 321/(-8) - 17/(-136). Let c be 381*(q/(-12) - 3). Let p = c + -48. List the prime factors of p. 79 Let r = 40 + -38. List the prime factors of (-6)/(-2) - -15 - r. 2 Let p(u) = -13*u - 11. Let r be p(-2). Suppose r = v - 48. What are the prime factors of v? 3, 7 Let r = -8114 - -12460. What are the prime factors of r? 2, 41, 53 Suppose p + 5*q = 6*q, -5*p = 3*q - 24. Suppose -p*j = -2*n + 6*n - 583, n = 4*j + 122. What are the prime factors of n? 2, 71 Let w be (-272)/(-6) + (-12)/(-18). Let l = 117 - w. Let d = l - 51. List the prime factors of d. 2, 5 Let h(n) = 5*n + 8. Let z be h(-6). Let r = -12 - z. Suppose 0 = 3*u, -4*a + 5*u + r = -42. What are the prime factors of a? 13 Let k = -5 - -7. Suppose -k*r = 2*c + 2*r - 128, 4*c = -3*r + 236. List the prime factors of c. 2, 7 Let q be (4 + 0/(-4))*12/(-16). Let b(u) = -3*u**3 - 3*u**2 - 5*u - 2. List the prime factors of b(q). 67 Let l(i) = i**3 - 5*i**2 + 4*i + 3. Let t be l(5). Suppose 2*c = 2*j + 138, 2*j - t = -3*c + 174. List the prime factors of c. 67 Suppose -4*q + 11478 = 3234. List the prime factors of q. 3, 229 Let t be (-35)/6 + (-15)/90. Let o(s) = 2*s + 22. List the prime factors of o(t). 2, 5 Let h be 9 + 3 + 0 + -6. Suppose -5*d = -h*d. Let a(k) = -k**2 - k + 31. What are the prime factors of a(d)? 31 Suppose 9*g + 2807 = -208. Let i = -178 - g. What are the prime factors of i? 157 Let t(g) = -3*g - 5. Suppose b = 4*u - 10, 2*b - 18 - 10 = -4*u. Let i(r) = -r. Let z be i(b). What are the prime factors of t(z)? 13 Let g(b) = 3*b**3 - 2*b**2 + 3*b + 22. Let p(u) = -7*u**3 + 5*u**2 - 7*u - 45. Let a(h) = 5*g(h) + 2*p(h). List the prime factors of a(0). 2, 5 Suppose 5*a - 11 = 4. Suppose 0 = -4*u - 7 + a. Let r = u - -6. List the prime factors of r. 5 Let c(o) = o**2 - 21*o - 5. Let d = 120 + -92. What are the prime factors of c(d)? 191 Suppose -3*p + 2 = -1, 3*j = -4*p + 1006. What are the prime factors of j? 2, 167 Let r = -4368 + 7667. What are the prime factors of r? 3299 Suppose -7*p + 2*p - 15 = 0. Let i = 5 + p. Suppose 11 + i = t. List the prime factors of t. 13 Let k(q) be the third derivative of q**4/12 - 7*q**
{ "pile_set_name": "DM Mathematics" }
6 + (-104)/6. What is the tens digit of (j/(-8))/(3/128)? 9 Let p = 74 + -68. Suppose p*q = -0*q + 366. What is the tens digit of q? 6 Let u(x) = -2*x + 2. Let h be u(1). Suppose h = -z + y + 350, z + 4*z + 2*y = 1785. What is the hundreds digit of z? 3 Suppose -k - 781 = -4*j, 5*k = -j + 116 + 74. Suppose 5*t = v - 592 + j, -4*t - 314 = -2*v. Let s = t + 124. What is the units digit of s? 4 Let h = -23 - -23. Let q(m) = -6*m + 4*m + 1 + h*m. What is the units digit of q(-10)? 1 Suppose -a + 6*a + 2*y - 158 = 0, 3*a = 5*y + 70. Let z = a + -22. Suppose 0 = z*u - 2*u - 216. What is the units digit of u? 6 Let s = 91 + -64. Let u be (-1 - -2)*83 - 3. Suppose -h - s = -u. What is the units digit of h? 3 Suppose 0 = 43*k - 44*k. Suppose 8*c - 199 - 201 = k. What is the units digit of c? 0 Suppose -13*j - f - 1722 = -17*j, 1720 = 4*j - 2*f. What is the hundreds digit of j? 4 Suppose 26*h = 28*h - 156. Let u = h + -47. Let x = u - 13. What is the units digit of x? 8 Let m(a) = a**2 - 6*a - 9. Let j be m(7). Let y be (6/j)/((-5)/65). Suppose 0 = -3*f - g + 42 + 20, 3*g - y = -2*f. What is the units digit of f? 1 Suppose -4*m - 55 = -r, -5*m + r - 56 = 4*r. Let t = 6 - m. What is the units digit of t? 9 Suppose 0 = 7*g + 562 - 1528. What is the tens digit of g + 18/12*8/6? 4 Let k(s) = 10*s**3 + s**2 - 8*s - 7. What is the units digit of k(3)? 8 Let r(p) = -2*p**3 + 28*p**2 - 21*p - 6. What is the tens digit of r(11)? 8 Suppose 0 = 22*s - 25*s - 9. What is the units digit of ((-6)/(-12))/((6/(-188))/s)? 7 Let i(b) = b**3 + b**2 + 5*b + 70. What is the units digit of i(0)? 0 Suppose -3454 = -2*s - 2*b + 112, 4*b = 4*s - 7108. What is the tens digit of s? 8 Suppose -3*a + 2208 - 234 = 0. Suppose -5*f + 1 = 21. What is the units digit of (a/(-21))/(f/6)? 7 Suppose 17 = a + 5*z, -5*z + 7 + 4 = -2*a. Suppose 2*n + 200 = 4*f + n, -a*n + 188 = 4*f. What is the tens digit of f? 4 Suppose -125 = -5*p + 4*w, 80 = 2*p + 3*p + 5*w. Let v = p - 12. Suppose -4*r + v*r = 110. What is the units digit of r? 2 Let v(q) = 4*q**2 + 11*q - 27. What is the units digit of v(-8)? 1 Let y be 9/27 - 33/(-9). What is the tens digit of (-3)/(y - 205/50)? 3 Suppose 0 = -2*h + 5*h - 24. Suppose -966 = -h*l + 2*l. What is the tens digit of l? 6 Let j be 184/7 + (-2)/7. Let z = 62 - j. What is the tens digit of z? 3 Suppose -5*g = 25, -4*p - g - 268 + 5415 = 0. What is the hundreds digit of p? 2 Let m = 36 + -32. Suppose 0 = 4*v + m*d - 432, 5*v - 3*d + 6*d - 536 = 0. What is the tens digit of v? 0 What is the hundreds digit of (-272)/102*(-6390)/4? 2 Let b be 60/8*(-72)/15. Let j = -8 - b. What is the tens digit of j? 2 Let h = -4507 + 7736. What is the units digit of h? 9 Let s be 3*2*6/90*-5. What is the hundreds digit of (1 + 73)*(3 + 1 + s)? 1 Suppose -9 = 3*h - 2*h - 4*i, 2*h = -3*i + 37. Let f = 31 + h. What is the units digit of ((-12)/(-9))/(2/f)? 8 Let i = -2163 + 3123. What is the tens digit of i? 6 Let z be (-4)/(-28) - 380/(-35). Suppose -3*i + 66 = 3*u, 0*i - i + 37 = 4*u. Suppose -4*r = -i - z. What is the units digit of r? 7 Suppose 5*b = -5*i + 1430, -7*b = -12*b + 5*i + 1400. What is the tens digit of b? 8 Let q = -519 + 878. What is the tens digit of q? 5 Let z(k) = 2*k**3 - k**2 - 20*k + 164. What is the tens digit of z(7)? 6 Let r(b) = b**3 - 5*b**2 + 12*b + 13. Let g be r(6). Suppose 79 = 8*m - g. What is the units digit of m? 5 Suppose -28*i = -2*v - 25*i + 2792, 2*i + 6980 = 5*v. What is the thousands digit of v? 1 Let f be 8*1 + 2/1. Let u = -6 + f. What is the units digit of (-1)/4 + 41/u? 0 Suppose 2*a - 18 + 26 = 0, 3*v + 3*a - 2259 = 0. What is the units digit of v? 7 Let o(d) = d**3 + 3*d**2 + 6*d - 9. Let u = -15 + 18. What is the units digit of o(u)? 3 Let a be -6*(-3 + 1)/6. Suppose 0 = -o + a*o - 2, 5*q + 4*o = 873. What is the hundreds digit of q? 1 Let k(l) = 17*l**2 + 6*l - 14. What is the tens digit of k(4)? 8 Let n = -4 + -10. Let f = -4 - n. What is the tens digit of f? 1 Suppose -4*l + 148 = -388. What is the tens digit of l? 3 Suppose -22*f + 2464 = -10274. What is the units digit of f? 9 Suppose -q - 5692 = -5*b, 4*b - 5512 = -2*q - 950. What is the thousands digit of b? 1 Suppose 4*x - 210 = 2*u, -4*u = 3*x - 103 - 60. Let s = 55 - x. What is the units digit of s? 2 Suppose 0 = 6*a - 8*a + 156. What is the tens digit of 2/(((-4)/a)/(-1))? 3 Let z(p) = -p - 7. Let o be z(-6). Let v = o - -4. Suppose 8 = -4*b, 2*b + b + v = -3*y. What is the units digit of y? 1 Let z(q) = 32*q**3 + 21*q**2 - 5*q + 3. What is the units digit of z(3)? 1 Let i = -229 - -684. What is the hundreds digit of i? 4 Let h be 9*4/(16/100). Suppose 0 = 2*u + 3*a - a - 78, a + h = 5*u. What is the tens digit of u? 4 Suppose -o = 2*w - 2*o - 7, 4*w - 7 = -5*o. Suppose -3*h - 2*d - 3*d = -61, 5*h = w*d + 45. What is the units digit of 309/18 + (-2)/h? 7 Let h(q) = -q**3 - 14*q**2 + 11*q + 13. Let o(l) = -l - 1. Let b(s) = h(s) - 3*o(s). What is the tens digit of b(-15)? 3 Let n = -840 + 1740. Suppose -4*d - 5*d + n = 0. What is the hundreds digit of d? 1 Let w = -296 - -1032. What is the units digit of w? 6 Let h(c) = c**3 - 13*c**2 - 21*c + 26. What is the tens digit of h(15)? 6 What is the units digit of ((-64)/(-5))/(1535/1525 + -1)? 2 Suppose -3*w + 4*w + 4*s - 23 = 0, w - s + 2 = 0. Suppose -4*n + 30 = l, -32 = -l + n - w*n. What is the units digit of l? 4 Let c(g) = g**2 - g - 2. Let r be (-6)/9*(-7)/((-70)/45). What is the units digit of c(r)? 0 Let u = -5 - 3. Let m be (u/(-6))/(-2)*-3. What is the tens digit of -2 + (30 - m) - 3? 2 Let k = 30 + -28. Suppose -2*r + 11 = 3*l - 206, 0 = -k*r + 10. What is the tens digit of l? 6 Suppose 5*n = 4*n. Let d(o) be the third derivative of -o**4/24 + o**3/2 + 55*o**2. What is the units digit of d(n)? 3 Suppose 3*n + 3*p = 21, 18 = -3*n + 2*n + 4*p. Suppose n*g = 3*g. Suppose -14 + g = -t. What is the units digit of t? 4 Suppose -o + 5*q + 69 = 0, 2*o - 146 = 4*q - 26. What is the tens digit of o? 5 Suppose 0 = -7*c + 2839 + 241. What is the units digit of c? 0 Suppose 0 = -3*s - 109 + 952. What is the hundreds digit of s? 2 Let u = 18 + -16. Suppose 0 = u*c - 4*c + 172. What is the units digit of c? 6 Suppose -209 = -3*z + 427. Suppose x + 100 = s - 7, -z = -2*s + 3*x. What is the units digit of s? 9 Let w(o) = -10*o**2 - 2*o + 3. Let a be w(2). Suppose -4*f - 54 = -x, 0 = 4*f - 26 + 10. Let n = a + x. What is the units digit of n? 9 Let x(b) = -b**3 - b**2 - b - 1. Let j(i) = 126*i**3 - 2*i**2 - 6*i - 7. Let k(p) = -j(p) + 4*x(p). What is the hundreds digit of k(-1)? 1 Let d = 262 - -78. Let a(q) = 5*q**2 - 32*q + 8. Let h be a(6). What is the tens digit of d/30 - h/6? 1 Let l(v) = -2 - v + 14 - 2*v + 2. What is the units digit of l(3)? 5 Let a be (-2)/(((-6)/8)/((-54)/(-16))). Suppose -3*q + 199 = 4*k, -3*q - a - 22 = -k. What is the tens digit of k? 4 Suppose 5*m = -5*u + 2355, m + 0*m = 5*u + 471. What is the hundreds digit of m? 4 Let f(b) = b**3 + 6*b**2 - 8*b + 9. Let d(o) = -o**3 - 5*o**2 + 9*o - 9. Let r(j) = 3*d(j) + 4*f(j). What is the units digit of r(-9)? 4 Let d be 48/(-4)*(-64)/6. Suppose 0 = -5*z + d + 12. What is the units digit of z? 8 Let a(v) = -2*v**3 - 9*v**2 - 31*v - 98. What is the hundreds digit of a(-9)? 9 Let t = -26 - -26. Let q(r) = 2*r + 20. Let k be q(t). Suppose 0 = -5*i + 120 + k. What is the units digit of i? 8 Let h(v) = v**2 + 7*v - 35. Let f be h(-11). Suppose 0 = 3*a - f, 0 = -5*x - 5*a - 22 + 702. What is the units digit of x? 3 Suppose -4*h = h + 60. Let b = h + 23. Suppose -b*l = -6*l - 110. What is the units digit of l? 2 Suppose 5*r + 6 = 21. Suppose 0 = 5*a + 2*c - 389, -a + 3*c = -r*a + 149. What is the units digit of a? 9 Let c(j) = 4 - 5 - 3*j**2 + 5*j**2 - j**2. Let n be c(2). Suppose -7*k + 32 = -n*k. What is the units digit of k? 8 Let k(p) = -p**3 - 3*p**2 + 2*p + 9. Let y be k(-3). Suppose 7 = -l + b + 32, 2*l - y*b = 51. What is the tens digit of l? 2 Let k = -95 + 232. Let u = k - 90. What is the units digit of u? 7 Let l(p) = 5 - 8*p**2 - 2 - 3*p**3 + 4*p**3 + 7*p. Let k be l(7). Suppose 2*w - k*d + 1 = 0, -5*w + 0*w + 14 = -2*d. What is the units digit of w? 4 Let b(p) = 2*p**3 - 18*p**2 - 25*p - 22. Let r(n) = n**3 - 9*n**2 - 12*n - 12. Let u(h) = 2*b(h) - 5*r(h).
{ "pile_set_name": "DM Mathematics" }
uppose -q + i = 3*q. List the prime factors of q. 2, 47 Suppose 10*c = 6*c + 1076. What are the prime factors of c? 269 Let q(a) = 3*a**2 + 80*a - 46. What are the prime factors of q(12)? 2, 673 Let f = 1462 - 668. What are the prime factors of f? 2, 397 Let y be (-66)/(-15) - (-4)/(-10). Let p(f) = 5*f**2 - 15*f + 6*f + 3 - y*f**2 + 0*f**2. What are the prime factors of p(11)? 5 Suppose 0 = -146*i + 139*i + 1092. List the prime factors of i. 2, 3, 13 Suppose -975 = -i + 3*r + 895, i - 4*r - 1868 = 0. List the prime factors of i. 2, 7, 67 Suppose 19 = 3*q + 4. What are the prime factors of 3/(2 - q) - -231? 2, 5, 23 Let k(f) = f**2 + 9*f. Let j(q) be the second derivative of -q**4/12 - q**3/6 - 5*q**2 - 2*q. Let z be j(0). List the prime factors of k(z). 2, 5 Suppose -x = -6*x - 25. Let b(q) = q**3 + 5*q**2 + 2*q - 2. Let y be b(x). Let g = y + 27. What are the prime factors of g? 3, 5 Let m(n) = -n**3 + 4*n**2 - 2*n + 2. Let a be m(3). Let d(g) = g**3 - 3*g**2 + 5*g - 9. List the prime factors of d(a). 2, 3, 11 Suppose 2*z + 0 + 4 = 0. Let c = z + 4. Suppose 3*v = -5*t + 19, 5*v = -0*v + c*t + 11. What are the prime factors of v? 3 Let j(t) = -14*t**2 + 3 + t + 4 - t**3 + 3. Let l be j(-15). Suppose 0 = -2*b + 2*i + 116, 0*i = -4*b + i + l. List the prime factors of b. 2, 3 Let w(n) = n**2 - 7*n. Let u be w(7). Let c be 5*4*1 - u. List the prime factors of 5/c + 27/4. 7 Suppose 0 = 2*o - 4*o + 8. Let d be (0 - (1 - 0)) + 5. Suppose v - 17 = 3*l - 65, o*l - 80 = -d*v. What are the prime factors of l? 17 Let j(g) = g + 10. Let k be j(7). Suppose 3*u = k*u - 2520. What are the prime factors of u? 2, 3, 5 Let a be (-6)/((30/21)/(-5)). Let g = a + -3. Suppose h = -0*h + g. What are the prime factors of h? 2, 3 Let z(s) = 43*s + 1. What are the prime factors of z(16)? 13, 53 Suppose -i = i - 10. Let r(y) = -2*y + 9. Let d be r(i). List the prime factors of (-1 - d - -2) + 21. 23 Suppose 0 = -124*s + 125*s - 382. What are the prime factors of s? 2, 191 Let o be 34/12 - 8/(-48). Let p = o - 0. Suppose -4*q = -2*f - 3*f - 98, -5*q + p*f = -116. What are the prime factors of q? 2, 11 Suppose 5*l + 47 = 2*a - 56, 0 = -3*a + 2*l + 127. List the prime factors of a. 3, 13 Suppose 26*t + 4932 = 38*t. What are the prime factors of t? 3, 137 List the prime factors of (-284835)/(-170) + 1/(-2)*1. 5, 67 Let k be 1 - 0 - (-4256)/14. Suppose -4*x = x - k. List the prime factors of x. 61 Suppose -155610 = -4*i - 66*i. What are the prime factors of i? 3, 13, 19 Suppose -347*v - 3708 = -350*v. List the prime factors of v. 2, 3, 103 Suppose 2*o = -o - 3*c + 4545, -5*c = -o + 1521. List the prime factors of o. 2, 379 Let z = 65 + -67. What are the prime factors of 65 - (2/6 - z/3)? 2 Suppose 2*z - 3*z = 2. Let g(l) = -23*l**2 - 2*l - 2*l**3 - l**3 + 1 + 20*l**2. List the prime factors of g(z). 17 Suppose -u + 2*h = -5*u + 16, 4 = 4*u - h. Suppose 2*n = 5*g - 121, -2*g + 23 = -g - n. Suppose 0 = 5*d + 15, d = 3*c - g - u. List the prime factors of c. 2 Suppose 0 = 5*d - 147 + 1937. Let t = -254 - d. Let m = t - 66. List the prime factors of m. 2, 19 Let a be 87*((-3)/6)/(2/(-4)). Let b = a - 40. What are the prime factors of b? 47 Let w be 26/8 + 6/(-24). Let c(z) = 5*z**2 + z + 2. What are the prime factors of c(w)? 2, 5 Let k = -6373 - -9254. What are the prime factors of k? 43, 67 Suppose -2*b - 4*b + 72 = 0. Let y = b + -108. Let s = y - -161. List the prime factors of s. 5, 13 Let s(l) = 62*l**2 + 5*l + 11. List the prime factors of s(7). 2, 3, 257 Suppose -5*h - 2*j = j - 36, -2*h - 4*j + 20 = 0. Let a(z) = 1. Let u(l) = -15*l**2 - 2*l + 8. Let n(x) = h*a(x) - u(x). List the prime factors of n(1). 3, 5 Let j(s) = -s**2 - 18*s + 21. Let i be j(-19). Suppose n - 2 = i, 0 = 3*b - 4*n + 4. List the prime factors of b. 2 Let w = -437 - 410. What are the prime factors of (-2)/(-12) - w/66? 13 Let b(y) = -y - 3. Let a be b(-5). Suppose 2*j = 26 - a. List the prime factors of j. 2, 3 Suppose -102 = -3*l - 4*x + x, 0 = -5*l + 2*x + 149. Suppose 23 = 6*n - l. What are the prime factors of n? 3 Let u be (2 + 2)/((-4)/(-1 - 1)). Suppose -2*f + 4*s = -228, -5*f + 0*s + 538 = -u*s. What are the prime factors of f? 2, 53 Let f = 25 - 18. List the prime factors of (f/(-7))/(1/(-66)). 2, 3, 11 Suppose 0 = -5*g - 88 - 317. Let a = -58 - g. List the prime factors of a. 23 Suppose 8*i - 9*i + 1660 = 0. List the prime factors of i. 2, 5, 83 Suppose 0 = -3*i - 0*i - 3. Let r be (i + 0)/(4/(-32)). Suppose -r - 12 = -4*w. What are the prime factors of w? 5 Suppose 2*g - 2 = y, y - 1 = -2*g + 1. Let t be (g + 68)*(-42)/(-18). Suppose -4*r + t = 41. List the prime factors of r. 2, 3, 5 Let k(g) be the first derivative of 5 - g**2 - 8*g + 1/3*g**3. What are the prime factors of k(6)? 2 List the prime factors of 6 + -2 + -3*(-1264)/6. 2, 3, 53 Suppose 41 = x - 41. Suppose -x = -10*v + 5*v + 4*t, 4*v + t = 74. What are the prime factors of 6/v - (-20)/3? 7 Suppose -c - 3*s + 488 = 0, 1952 = 3*c + c - 4*s. List the prime factors of c. 2, 61 Let c be ((-16)/12)/((-1)/(-6)). Let u(g) = 3*g + 17. Let p be u(c). Let i(d) = d**3 + 7*d**2 - 4*d + 5. What are the prime factors of i(p)? 3, 11 List the prime factors of -18 + (-160050)/(-45) + 2/6. 3539 Let a = 5184 + -3664. What are the prime factors of a? 2, 5, 19 Let m be (5/4)/(-2 + 246/120). Suppose -13*o - m = -571. List the prime factors of o. 2, 3, 7 Let m(j) = j**2 + 5*j - 31. Suppose -41 = -5*u - 3*f, -3*u + 2*u + 17 = 5*f. List the prime factors of m(u). 53 Suppose 0 = 4*o + 6 + 14, 4*j + 4*o - 344 = 0. Suppose 3*m = 2*u - 2*m - 79, j = 3*u - 2*m. What are the prime factors of u? 3 Let b(k) = k + 26. Let h be b(-24). Suppose 0 = -5*f + 7 - h, -2*w - 4*f = -310. List the prime factors of w. 3, 17 List the prime factors of 8/(-28) - 17672/(-14). 2, 631 Suppose 5*f - 47 = 4*c, -7*f = -6*f - 3*c - 16. Suppose -22 = 3*j - 67. Suppose 0 = -f*d + 4*d + j. What are the prime factors of d? 5 Suppose -l = -3*v - 67, 2*v - 113 = 7*v - 2*l. Let q = v + 19. What are the prime factors of 25 + 0*2/q? 5 Suppose -s + 5*t + 546 = -0*t, 0 = -2*s - 2*t + 1128. List the prime factors of s. 3, 11, 17 Let q(l) = -2*l**2 - 17*l - 18. Let x be q(-7). Let f(g) = 4*g**3 + 3*g**2 + 6. List the prime factors of f(x). 3, 47 Suppose 3*z - 3*j - 1555 = 1478, 0 = z + j - 1005. List the prime factors of z. 2, 3, 7 Suppose 18*v - 1082 = 1366. List the prime factors of v. 2, 17 Let t = 549 + -326. List the prime factors of t. 223 Suppose 6*w = -10*w + 208. Let s(p) = 4*p**2 - 31*p - 14. What are the prime factors of s(w)? 7, 37 Let b = 47 - 42. Suppose 0*m - 540 = -b*m. What are the prime factors of m? 2, 3 Let p(r) = -11*r - 14. Let d be p(-13). Suppose 0 = -4*b + d + 55. Let w = b - 34. List the prime factors of w. 2, 3 Let h = 401 - -79. What are the prime factors of h? 2, 3, 5 Let k(z) = -6*z**2 + 258*z + 6. List the prime factors of k(21). 2, 3, 463 Let x(l) = 29*l**2 - 3 + l + 6 + 35*l**2 - 5. List the prime factors of x(1). 3, 7 List the prime factors of 1/(-10) - 108617/(-470). 3, 7, 11 Suppose 53*l - 12 = 49*l. Suppose -12*a = -l*a - 459. What are the prime factors of a? 3, 17 Let k = 420 + -209. What are the prime factors of k? 211 Let x(q) = 7*q**3 - 8*q**2 - 17*q + 11. Let j(u) = -2 - 7 + 16*u + 8*u**2 - 1 - 6*u**3. Let h(f) = 6*j(f) + 5*x(f). List the prime factors of h(9). 13 Let s(n) = -7*n - 6. Let h be s(8). What are the prime factors of (h/3)/((-19)/57)? 2, 31 Let j(f) = -52*f + 69. What are the prime factors of j(-5)? 7, 47 Let s = 2347 + -341. List the prime factors of s. 2, 17, 59 Let w be (-14)/21*(-42)/(-1). Let x be ((-20)/1)/(w/(-70)). Let d = x - -75. What are the prime factors of d? 5 Let h(d) = -d**3 - 3*d**2 - 5*d - 4. Let c be 46/(-12) - 2/12. Let f be h(c). Suppose 0 = -3*o - r + f, 7*o - 2*r = 5*o + 8. List the prime factors of o. 3 List the prime factors of (-9)/(-9 - (-38322)/4260). 2, 3, 5, 71 Let j be -2*2*7/(-28). Suppose u = b, j - 4 = -b + 4*u. What are the prime factors of ((-5)/10)/(b/50)? 5 Suppose -5*j + 3*z - 321 = -5379, 2*z - 2036 = -2*j. List the prime factors of j. 2, 3, 13 Suppose -2*f + 257 - 73 = 0. What are the prime factors of f? 2, 23 Let o(c) = 9 - 6*c**2 + c**3 - 2*c**2 + c**2 - c. Let u be o(7). Suppose 2*x = -2*a +
{ "pile_set_name": "DM Mathematics" }
s 4? True Let n = 40.491 + 1.509. Let t(x) = 7*x - 49. Let p be t(7). Which is smaller: p or n? p Let c = -2352 + 2353. Which is smaller: c or -9/473? -9/473 Let t(j) = 15 + 18 + j + 8 + j. Let h be t(-18). Suppose -h*o + 2*q = 95, q = 4*q. Is -18 at least o? True Suppose -3*h - 1369 + 6188 = 2*a, 0 = -5*a + 10. Suppose -2*y = -7*y + h. Let m = y + -8027/25. Is 1 < m? False Suppose 0 = -3*o - 3*p - 6792, -492*o + 495*o + 2*p = -6797. Do -2266 and o have the same value? False Suppose -4 = 2*c + 2. Let l = -3 - c. Let s = 7399.031 - 7399. Which is smaller: l or s? l Suppose 5*z - 5*d = 25, -5*d - 16 = -3*z + 5. Let w be z/4 + 4/(-16) + 0. Let i = -0.11 - -5.11. Which is greater: w or i? i Suppose 2*w + 156 = -4*r, 14*r - 13*r + 17 = 5*w. Let x be (-6)/12*6/r. Which is smaller: x or -1? -1 Let l = 492.2 - -2002.8. Let o = -2597.1 + l. Let q = 102 + o. Is -2/47 less than or equal to q? False Let c be ((8 - 16)/(-96))/((-10)/30). Which is smaller: c or -357? -357 Suppose 17590 = 4*y + 2*q, -1801*y + 13195 = -1798*y + 4*q. Is 4397 at most as big as y? True Suppose -5*g - 11 = 5*f + 39, -4*f - 8 = 0. Let d be -5 - (55/(-2) + g/(-16)). Which is smaller: d or 21? 21 Suppose 14*t - 9*t + 10 = 0. Let m be (1778/(-3))/7 - t/(-6). Which is smaller: m or -1? m Let a = 7319 + -7956. Which is smaller: -635 or a? a Let c(r) = r**3 + 52*r**2 + 56*r - 242. Let v be c(-51). Is v bigger than -474? False Suppose 0 = f - 630 - 395. Let i = f - 73801/72. Let d = -1338 - -1338. Which is smaller: i or d? i Let c be (-1)/(-3) + (-33449)/(-651). Which is greater: 53 or c? 53 Let j = 6883 + -6254. Is j bigger than 632? False Let l(m) = 231*m**2 - 19*m - 18. Let t be l(-1). Suppose 231*i - 1 = t*i. Which is bigger: i or 3/461? 3/461 Let m be ((-9)/(1350/(-48)))/((-4)/(-2610)). Which is smaller: m or 209? m Suppose 7*c - 12*c = -4*s - 959, 0 = -2*c - 4*s + 378. Suppose 2*d - 3*a = -4*a + 126, -3*d + c = 2*a. Which is bigger: 62 or d? 62 Let o = -4944 - -4926. Which is greater: -32 or o? o Let f be 4 + (-2 - -2)/(-1 + 3). Let t be (17/2 - 7)/(6/f). Which is greater: 5/22 or t? t Let v = 32852747/1619 + -20292. Is 0 bigger than v? True Let d be 39/(-26)*(-8)/(-12)*1279. Which is smaller: d or -0.2? d Let q be ((-53304)/1140)/(12/165). Let w = q - -643. Do 0 and w have the same value? False Let x(o) = o**3 - 15*o**2 + 40*o - 46. Let t be x(12). Is 105 greater than t? True Suppose -u = 4*n + 2, -1 = u - 227*n + 232*n. Which is bigger: -275 or u? u Let j be (-23507250)/(-312)*(-16)/54 - (-10)/135. Which is greater: -22325 or j? j Suppose -8*k + 3*x + 19907 = -9*k, 3*k = 6*x - 59601. Which is bigger: -19882 or k? -19882 Let o = -797 - -828. Suppose -1586 - 8334 = -o*a. Which is smaller: a or 321? a Let d = -2573 + 2572. Are -18/3209 and d equal? False Let v = 1234/3605 - 13/35. Let x be (-6)/(-2) + -15 + 11. Is x <= v? True Let k = -73 - -145. Let y be (-8)/k*3/52. Suppose 51*n = 94*n - 58*n. Is y > n? False Let f = -784 - -799. Let b be 35/f - (-37860)/(-16164). Which is smaller: b or 0? b Suppose 2*h = -2*h + 12, 2*h - 8 = -2*o. Let p = 23 + o. Suppose 0 = 5*s - 26 - p. Is 9 != s? True Let d = 0.14 - 0.1. Let q = -107.6 - -115. Let b = 7.1 - q. Which is greater: d or b? d Let d(t) = -2*t**2 - 5*t - 1. Let h be d(-5). Suppose 3*l = -5*x - 44, -47*l = -42*l - 6*x + 102. Which is greater: h or l? l Let p be (-4)/(-16) - 2585/(-3780). Let o = -11/14 + p. Suppose 2 = -2*s + 2. Is s greater than o? False Let h(m) = -6*m**3 + 4*m**2 - 4*m + 5. Let r(y) = y**3 - 1. Let c(o) = -h(o) - 5*r(o). Let w be c(2). Suppose 13*t - 9*t + 8 = w. Which is smaller: t or 1.5? t Let k be (-15)/54*3 + (-18 - -12)/(9 + -15). Let t = 58.885 + 0.115. Which is bigger: k or t? t Let c = 656/35 + -134/7. Let k = 2265 - 38517/17. Are k and c nonequal? True Let s be 7 - (-7125)/10 - (-6)/12. Is s >= 720? True Let f be (-35 - -29) + 1691/309 + (-17)/(-51). Is f not equal to 1? True Let z(x) = x**2 + 57*x - 2715. Let p be z(46). Do 2024 and p have the same value? False Let c be (-18)/225 - ((-4)/(-2) + 203378/(-350)). Which is greater: 601 or c? 601 Let v be (-472 + 0)*12/456. Let g = 2073/95 + v. Which is bigger: g or 9? g Let t = 636 - 499.128. Let x = -0.128 - t. Is x less than 0.1? True Let o = 0.11557 + -0.04757. Which is smaller: o or -10? -10 Let z be ((-17)/((-255)/732))/((-8)/20). Suppose 0 = -3*o + 7*o - 4*c + 488, -3*c = 0. Is z <= o? True Suppose -3*n + 30 = -3*q, -49*n + 4*q = -51*n + 26. Let l be (-10)/40 + 425/36. Is l less than n? False Let j(y) = y**2 - 10*y + 8. Let d be j(14). Let s = 47 - d. Let v(k) = -k**3 - 5*k**2 - 5*k + 1. Let p be v(-3). Do p and s have different values? True Let o be (-8 - 155/(-20))*(3 - 7) - 1. Is -2/803 < o? True Suppose -5*d + 335 = 20. Suppose -d = -h - 21. Let v(m) = 6*m**2 + 15*m - 32. Let f be v(-5). Which is smaller: h or f? h Let x be (-4 - -3)*(-6)/3. Suppose x*t = q + 22, -4*t - 2 = 5*q - 60. Is t greater than 12? False Let v = 8295 + -12326. Let x = 310393/77 + v. Is x at least 0? True Let s be ((-42)/98)/3 + (-141)/(-7). Suppose 14*i = 16*i - 5*r - s, 8 = -2*i - 2*r. Which is bigger: -2/2103 or i? i Let z = 0.0267 + -1.0267. Let w = -149 + 183. Is w <= z? False Let d be 23/((-322)/28) + (-7)/((-21)/(-438)). Is d greater than -2365/16? False Let k = 104654 + -104653. Suppose 5*n + 42 = -0*m + m, -3*m - 54 = 5*n. Let l = 19/2 + n. Which is smaller: k or l? l Suppose -6*h = -h. Suppose -3139 + 565 = 13*c. Let u = c + 197. Which is greater: u or h? h Suppose 0*i = -4*k - 4*i + 24, -2*i = -3*k + 3. Let d(j) = 2*j - 2. Let a be d(1). Suppose 39 = 5*z + 4*t + k, -3*z + 3*t = a. Is -2/3 equal to z? False Let b = 34 + -137/4. Let n = -355 + 205. Which is bigger: n or b? b Let x = -933 - -1419. Let k = -485.6 + x. Is k at most as big as 57? True Suppose -739 = -y - z + 232, 3*y = -5*z + 2909. Is y > 973? False Suppose 2*r + 3*q - 555 = 0, -4*r + 494 = q - 601. Suppose 0 = 22*s - r - 35. Let l = -19 + 31. Which is bigger: l or s? s Suppose 27*g = -2*n + 29*g + 356, -172 = -n + 4*g. Suppose 4*w = 14*w - n. Is 1 at most w? True Suppose 3*c - 179 = 2*t, 192*c - 3*t - 183 = 189*c. Are c and 64 nonequal? True Let i = -0.706 - 0.294. Does 6.12 = i? False Let z be 172442/(-19) + (0 - 7) + 26200/3800. Which is bigger: -9077 or z? z Let j = -7183/98892 - 4/603. Which is bigger: j or -1? j Suppose 14*b + 5*w = 15*b - 12844, 3*w + 38496 = 3*b. Is b greater than or equal to 12831? False Let z = 176 + -260. Let t = z + 63. Which is bigger: -20 or t? -20 Let n(o) = o + 1. Let r(x) be the first derivative of 5*x**2/2 - 8*x + 8. Let i(v) = 4*n(v) - r(v). Let l be i(-7). Which is smaller: 4 or l? 4 Suppose 0 = -k - 3*k. Suppose -t - n - 22 = k, -n = n. Let f(d) = 2*d**2 + 120*d - 5422. Let g be f(30). Is g > t? False Let v(d) = d**2 - 2*d + 122. Let o be v(-14). Are 345 and o nonequal? True Let x = 39 + -26. Let g be (-99)/10 + (-4)/(-24)*0. Let j = -19/2 - g. Which is smaller: j or x? j Let h = 29512/5 - 5883. Is 20 equal to h? False Let f = 142 - 113. Let r = 30 - f. Which is smaller: r or -4/81? -4/81 Let v(a) = a**2 - 33*a + 33. Let t be v(32). Are 7.44 and t nonequal? True Let p be ((-9)/(-117))/(1*-1) + (-16788)/(-3276). Which is smaller: 4 or p? 4 Let y be (3/(-20))/(45/60). Let w = 23 - 15. Suppose -5*h = r - 21, -4 = 4*r - 4*h + w. Is r at least y? True Suppose -149 = -4*l - a, 71 = -2*l - 2*a + 147. Which is greater: -2/311 or l? l Let b = -346/93 - -116695/31341. Which is greater: 1 or b? 1 Let p be 2 - 886/(-7) - ((-54)/42)/3. Which is bigger: 157 or p? 157 Suppose -3*y + 2*y = t, -5*y - t - 16 = 0. Let r be (6 + -10)*(-1167)/(-12) + y. Which is smaller: r or -394? -394 Let o = 164 - 148. Let c = 73 + o. Which is smaller: 0.2 or c? 0.2 Suppose -10*t - 2868 - 2452 = 0. Let h be -1*(-4)/(t/(-245)). Is 2 greater than h? True Let n = -10.10525 + 0.20525. Which is greater: n or -5? -5 Suppose -u + 4*u = -2*v - 51, 34 = -3*v + 4*u. Which is bigger: -1 or v? -1 Suppose -66 = -p - p. Let x be 14*(5 + (-39)/7) - -40. Let c = p - x. Is c >= -2? True Let z be (-520 - 3) + 30/35*7. Which is smaller: -524 or z? -524 Let a = 1534 + -1535. Which is bigger: a or -48/89? -48/89 Let r(k) = -2*k**2 - 8*k + 592. Let t be r(-19). Are t and 3/25 non-equal? True Let i = -9840 + 11492. Is
{ "pile_set_name": "DM Mathematics" }