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Is 254451677 a composite number? False Is 14568821 composite? True Is 214958769 a composite number? True Is 1724903 a prime number? False Is 181182919 composite? False Is 21577211 composite? False Is 3208001 prime? True Is 48507769 a composite number? False Is 64255522 a composite number? True Is 516403 prime? False Is 4588273 a prime number? False Is 55867873 a composite number? True Is 167753453 a prime number? False Is 1496021 a composite number? True Is 513509 a composite number? False Is 10530187 prime? True Is 11560503 composite? True Is 79657451 a prime number? True Is 1346693 composite? False Is 231628109 composite? False Is 19648381 a prime number? True Is 112577063 a composite number? False Is 83422199 a composite number? True Is 21363 prime? False Is 63903241 a composite number? True Is 43424113 a prime number? False Is 119933599 a prime number? False Is 46492471 a prime number? False Is 49536707 composite? True Is 123541751 a composite number? False Is 141336199 a prime number? False Is 84964741 composite? True Is 2408723 composite? False Is 6664277 a prime number? True Is 249455 prime? False Is 766221431 a composite number? True Is 4712287 a prime number? True Is 210299 composite? False Is 28546387 composite? False Is 36251 composite? False Is 44669593 a prime number? True Is 23281711 composite? False Is 94581691 a prime number? False Is 9733677 prime? False Is 115009751 composite? False Is 158793289 composite? False Is 1201439 a prime number? True Is 5494807 composite? False Is 3618287 composite? True Is 10985785 composite? True Is 201770173 a prime number? False Is 9156821 a prime number? True Is 31071659 prime? False Is 7224809 prime? True Is 2965763 a composite number? False Is 62961427 composite? False Is 10679239 a prime number? True Is 48485599 prime? True Is 34743187 a composite number? False Is 444432158 composite? True Is 71194373 composite? False Is 16473271 composite? False Is 991153 composite? True Is 29561933 a prime number? False Is 4095451 a prime number? True Is 35962723 a prime number? False Is 5111534 a composite number? True Is 7368743 a composite number? False Is 20499749 prime? True Is 23889937 composite? False Is 24125483 composite? False Is 123165691 a prime number? False Is 6071617 prime? True Is 331799 a prime number? False Is 260747303 a composite number? False Is 25129867 a composite number? True Is 28543477 a composite number? False Is 10179263 a prime number? True Is 237601337 a prime number? True Is 391952569 a composite number? True Is 1315201 a prime number? False Is 261817 composite? True Is 13990051 a prime number? False Is 368554409 a prime number? True Is 97264223 a prime number? False Is 132631 prime? True Is 6266647 a composite number? True Is 1682987 a prime number? True Is 34239799 prime? False Is 72731509 a prime number? False Is 8060791 a composite number? False Is 1453535 a composite number? True Is 1729591 prime? True Is 11273089 a composite number? False Is 19791797 prime? True Is 17178899 a composite number? False Is 256003889 a prime number? False Is 318465031 prime? False Is 37558289 prime? True Is 877575191 prime? True Is 15106513 prime? True Is 621973 a composite number? True Is 94082201 a composite number? True Is 29868757 composite? True Is 7402339 a composite number? True Is 134750321 composite? False Is 15069211 prime? True Is 2312543807 prime? False Is 403483 prime? True Is 52095553 composite? True Is 316631 a prime number? False Is 2371209 a composite number? True Is 6667211 a prime number? False Is 31132807 composite? True Is 155203827 a prime number? False Is 33103209 prime? False Is 643358 prime? False Is 40059191 prime? False Is 967349 prime? True Is 470845 a prime number? False Is 19137203 prime? True Is 2247883 a composite number? True Is 1651307 composite? True Is 7074701 a composite number? False Is 3304447 a composite number? True Is 103444007 prime? True Is 4811461 prime? True Is 459937 composite? False Is 60774317 composite? True Is 15714313 a prime number? False Is 672587 a composite number? False Is 46241 a prime number? False Is 153775877 a composite number? False Is 5966921 composite? False Is 7440673 composite? True Is 14874403 a composite number? False Is 28842529 prime? False Is 2332627 a prime number? False Is 6198949 a prime number? False Is 12549457 prime? True Is 2983963 a prime number? False Is 2240267 a prime number? True Is 1118517 prime? False Is 150348829 a composite number? True Is 14408029 prime? False Is 166541 a prime number? True Is 10433693 a prime number? True Is 222708361 a prime number? False Is 15130513 a composite number? False Is 48028361 composite? False Is 496800191 composite? False Is 6223417 composite? True Is 9121199 prime? True Is 17535851 a composite number? False Is 145341173 a prime number? False Is 1655067 composite? True Is 19070303 prime? False Is 2894813 composite? False Is 129902833 a prime number? False Is 33802361 prime? True Is 152861999 a composite number? True Is 464345529 a composite number? True Is 693943 composite? False Is 557981 a prime number? True Is 3005927 composite? True Is 16774831 prime? False Is 50235737 composite? True Is 25930237 a composite number? False Is 3586019 composite? False Is 64661 prime? True Is 193407569 composite? False Is 14791631 prime? True Is 1527691387 a prime number? True Is 5029153 a composite number? True Is 26746361 a prime number? True Is 1581869 composite? False Is 10223849 composite? True Is 3497071 composite? False Is 56261699 composite? True Is 30461 prime? False Is 114716757 composite? True Is 1629767 composite? False Is 104995493 a prime number? False Is 37278169 a composite number? False Is 571631 composite? True Is 13951167 a prime number? False Is 483370919 a composite number? True Is 13664219 prime? True Is 275621083 prime? True Is 139642297 composite? True Is 888331 prime? False Is 44014181 composite? False Is 150354229 a composite number? False Is 355484143 composite? True Is 767230987 a composite number? True Is 25326953 a composite number? False Is 7713647 a prime number? False Is 12654581 a prime number? False Is 921703 prime? True Is 1217747 prime? False Is 12764165 a prime number? False Is 159086338 a prime number? False Is 10007993 composite? True Is 1667131 prime? True Is 3666269 a composite number? True Is 8105029 prime? False Is 403117985 a prime number? False Is 8492947 prime? False Is 826567 a composite number? True Is 105530498 prime? False Is 310881901 a composite number? True Is 72517283 composite? False Is 3289397 composite? False Is 30993107 composite? False Is 18358805 composite? True Is 8502577 a composite number? False Is 436693 a prime number? True Is 795323 prime? True Is 6216943 prime? True Is 15357367 prime? False Is 302172529 a composite number? False Is 104427121 prime? True Is 7318247 a prime number? True Is 1810507 composite? False Is 4314731 a prime number? False Is 9190609 prime? False Is 3695777 prime? False Is 2391223 a prime number? False Is 84547649 prime? False Is 14061097 a composite number? False Is 68096939 prime? True Is 3461641 a prime number? True Is 23360429 a composite number? False Is 1182561 a composite number? True Is 61218321 a prime number? False Is 22975471 a composite number? False Is 3872357 a prime number? False Is 885379 prime? False Is 933800947 a composite number? False Is 1640409502 composite? True Is 2121367 prime? True Is 20259937 prime? False Is 15935455 a composite number? True Is 5343103 a composite number? False Is 58725479 a prime number? True Is 2090771 a composite number? False Is 58265561 prime? True Is 70296841 prime? False Is 221398883 a composite number? True Is 13869151 a prime number? True Is 542683 prime? True Is 205545091 a prime number? False Is 88848497 a composite number? False Is 184094549 a prime number? False Is 108776981 a composite number? False Is 3738977 a composite number? True Is 25376907 composite? True Is 42141479 a composite number? False Is 317091833 a prime number? False Is 26403305 composite? True Is 3603058 prime? False Is 117522527 prime? True Is 3846343 a prime number? False Is 225842141 a prime number? False Is 51465617 composite? True Is 50001031 a composite number? True
{ "pile_set_name": "DM Mathematics" }
a Which is the second smallest value? (a) 123 (b) 3 (c) 5/6 b What is the biggest value in 1/31, -8, -0.4? 1/31 What is the second smallest value in -2/7, -7, -120, -4, 0.5? -7 Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -1/4 (d) -2/17 b Which is the third smallest value? (a) -0.3 (b) -19 (c) 7 c What is the second biggest value in -5, 2/9, -1.7, 0.4, -1? 2/9 What is the third smallest value in 5, -4/5, -0.1, -0.109? -0.1 Which is the second smallest value? (a) -2/3 (b) -0.5 (c) -147 (d) 1/3 a Which is the third smallest value? (a) 3/4 (b) 2/3 (c) 543 c Which is the second biggest value? (a) -2/57 (b) 0.1 (c) -1/2 (d) -1 a Which is the fourth smallest value? (a) 1 (b) -2/3 (c) 3 (d) -7/87 c What is the third biggest value in 17/2, 0.1, -2/9? -2/9 What is the third smallest value in -2, -21, 1.2? 1.2 Which is the second smallest value? (a) -2 (b) 2/7 (c) 5/28 (d) 0.3 c Which is the second smallest value? (a) -0.3 (b) 2 (c) -1/2 (d) -34 c What is the third smallest value in -5, -5.8, 5, -51? -5 Which is the third biggest value? (a) -1 (b) 5/6 (c) 1/5 (d) 0.1 (e) 4 c What is the biggest value in 1/3, -3/4, 0.17? 1/3 What is the fifth smallest value in 5, -5, 0, -115, -0.5? 5 What is the third smallest value in 591, -0.3, 1/6? 591 What is the second smallest value in 1/3, -3, -2081? -3 Which is the third smallest value? (a) -0.4 (b) -59 (c) -2/15 (d) 0 c Which is the biggest value? (a) -0.05 (b) 5 (c) -0.076 (d) 4 b Which is the smallest value? (a) 8 (b) 1/3 (c) -89 c What is the biggest value in -1/131, 2/9, 1/20? 2/9 What is the third smallest value in 0, -1/6, -0.4, -4? -1/6 Which is the second biggest value? (a) -0.9 (b) -1.6 (c) 5 (d) -2/11 d Which is the third biggest value? (a) 3/11 (b) 1/16 (c) -0.1 c What is the biggest value in -13, -1/2, -0.004, 4? 4 Which is the second smallest value? (a) 4 (b) 1 (c) -3/2 (d) 2 b What is the smallest value in -14, 2/37, 0.1? -14 What is the second smallest value in -2/7, -4, -6/11, 147? -6/11 What is the third smallest value in 2/3, 3/4, 0.12, 2? 3/4 Which is the third biggest value? (a) 5 (b) -1/3 (c) 3 (d) -4 (e) 4 c What is the second smallest value in 2, 0.5, -2/13, 216/23? 0.5 Which is the third biggest value? (a) 4/7 (b) -0.776 (c) -5 c Which is the second smallest value? (a) -2/13 (b) -207 (c) 4/13 a Which is the fourth biggest value? (a) -2/73 (b) 0.2 (c) -6 (d) -2/11 c What is the third biggest value in -6.6, 27, 3? -6.6 Which is the fourth biggest value? (a) 4 (b) 1/5 (c) 0.0022 (d) 0.1 (e) -3 c Which is the smallest value? (a) 26 (b) -1/5 (c) 22/7 b Which is the second smallest value? (a) -0.106 (b) 0.3 (c) 2 b Which is the second biggest value? (a) -1 (b) 0 (c) -0.1 (d) 4 b What is the third biggest value in -0.1, -0.4, -2/159? -0.4 Which is the fourth smallest value? (a) 0.5 (b) 4/9 (c) 2 (d) 0 c What is the third biggest value in 2, -1, -279? -279 What is the second biggest value in 22, 4, 4/7, 2? 4 What is the smallest value in 14/15, 3/95, -2? -2 What is the second smallest value in 8, -1/6, 10.9, -2/5? -1/6 What is the biggest value in 1/9, -8, 1, 3/5? 1 What is the third biggest value in 0.3, 13, -2/7? -2/7 What is the third biggest value in 592, -5, 1? -5 What is the third smallest value in 0.4, -1, 4, -2, 54? 0.4 What is the second smallest value in -0.1, -2/3, -177, -3/7? -2/3 Which is the second smallest value? (a) -0.07 (b) -2/7 (c) 1.2 a What is the second smallest value in -4/7, 6, -0.21, -4? -4/7 What is the second biggest value in -0.1, 2, 20? 2 Which is the biggest value? (a) -0.406 (b) -0.3 (c) 1 (d) 5 (e) -3 d What is the second biggest value in 2, 0.8, -9? 0.8 Which is the second smallest value? (a) -0.4 (b) 5 (c) -1/2 (d) -5 (e) 2 c What is the fourth biggest value in -2.9, -2/25, 4, -1/3? -2.9 What is the third smallest value in -2, -34, 0.3, 5? 0.3 What is the smallest value in -3/5, 37, -2/5? -3/5 What is the third biggest value in -2/11, -7, 18? -7 Which is the fourth biggest value? (a) -25 (b) -0.5 (c) 1/5 (d) -4 (e) 1 d What is the second biggest value in -12, -3, 0, -2/7, 0.5? 0 What is the third smallest value in -2, 4, -53? 4 Which is the third biggest value? (a) -1 (b) -25/9 (c) 4 b What is the third smallest value in -1/3, 150, 0.2? 150 What is the second biggest value in -5, -20, 5, -3? -3 Which is the fourth smallest value? (a) 99 (b) -6/7 (c) 0.2 (d) 3/2 (e) 1/2 d Which is the biggest value? (a) -1/8 (b) 4/3 (c) 3 (d) -9/8 c What is the second biggest value in 0.2, -5/2, -5? -5/2 Which is the second biggest value? (a) 3.56 (b) 0.3 (c) -0.42 b Which is the second smallest value? (a) -4 (b) -1/3 (c) 8 (d) 5 (e) 4 b What is the biggest value in 0, -0.1466, -1/6, -5? 0 Which is the fourth smallest value? (a) -0.5 (b) 25 (c) 1 (d) -3 (e) 4 e Which is the fourth biggest value? (a) -1.2 (b) 0.2 (c) -2/13 (d) -5 d What is the fifth smallest value in 2/13, -1, 4, -4.7, -2/17? 4 Which is the third smallest value? (a) 5/2 (b) -1/5178 (c) 0 a Which is the second smallest value? (a) -5 (b) -0.3 (c) -1620 a Which is the biggest value? (a) -3/4 (b) -3 (c) 2/3 (d) 4/7 c What is the second biggest value in -3, -163, 2/7? -3 Which is the second smallest value? (a) 0.04 (b) 1/3 (c) -4 (d) 0.4 (e) -10 c What is the second biggest value in 6/127, 0.4, -0.4? 6/127 Which is the second smallest value? (a) 1/11 (b) 4 (c) 15/82 c What is the third smallest value in -3/2, 1, -13, -5/9? -5/9 Which is the third biggest value? (a) 0 (b) 4 (c) -5 (d) -4 d What is the smallest value in 0.5, 152, -5? -5 What is the third smallest value in -2/7, -2, -2/3? -2/7 Which is the third biggest value? (a) 0.5 (b) -3 (c) -0.1 (d) 210 c What is the fourth biggest value in -0.3, 0, 4/3, -1? -1 What is the third smallest value in 2/3, -0.3, -0.09, 19? 2/3 Which is the fourth smallest value? (a) -10 (b) -3 (c) -20 (d) 0.01 (e) -0.1 e Which is the second biggest value? (a) -2 (b) 2/19 (c) -9 (d) 0.4 b What is the biggest value in -1/11, -3, -7, -4? -1/11 What is the third smallest value in -23, 0, 2? 2 What is the smallest value in -1, -4, 843? -4 What is the biggest value in -0.1, 0.07, 10, -0.3, 0.3? 10 Which is the third smallest value? (a) 18 (b) -0.6 (c) -3 a Which is the smallest value? (a) -0.1 (b) -1 (c) 1 (d) 13 b What is the second biggest value in 46, 1/5, 0.3, 5? 5 Which is the third biggest value? (a) -1/11 (b) -5/2 (c) -0.4 (d) 3/7 c What is the fourth biggest value in -4, 0, -1/5, 3/8? -4 Which is the fifth smallest value? (a) -0.4 (b) -54 (c) -1 (d) 12/7 (e) -0.5 d Which is the second smallest value? (a) -4 (b) 186 (c) 0.3 (d) 8/7 c Which is the fourth smallest value? (a) 4 (b) 2/11 (c) 2/9 (d) -0.5 (e) 2 e Which is the biggest value? (a) 1/16 (b) -3 (c) 0.05 (d) -0.3 a What is the third smallest value in 0, 4, 0.098, -19? 0.098 Which is the smallest value? (a) -3 (b) -5 (c) -44 c Which is the third smallest value? (a) 1/10 (b) -1/3 (c) -1/7 (d) -249 c Which is the second smallest value? (a) 0 (b) 3/4 (c) -7.6 (d) -0.4 d What is the second smallest value in -2, -146, -3? -3 What is the smallest value in 1/5, -2/5, -0.5, 1.5? -0.5 What is the third smallest value in -0.01, -0.8, 27? 27 What is the fourth biggest value in -0.03, -12, 0.03, -0.4? -12 What is the biggest value in 4/3, 0.4, 3, 6/5? 3 What is the second biggest value in 0.3, 0.315, -3/5? 0.3 What is the smallest value in -2, 0.3, 3, 2/19? -2 Which is the third smallest value? (a) -4 (b) 5/3 (c) 0.05 b What is the biggest value in 20450, 3, -2? 20450 Which is the fifth biggest value? (a) 3 (b) -2/15 (c) -0.5 (d) 0 (e) -0.11 c Which is the third biggest value? (a) -3 (b) -4 (c) -1/2 (d) 0.1 a Which is the third smallest value? (a) -2 (b) 3 (c) 2 (d) -9/7 c What is the biggest value in 5, 2, -0.28? 5 Which is the third smallest value? (a) -1 (b) -0.4 (c) 2/7 (d) 1/2 c Which is the third biggest value? (a) -3/4 (b) -0.4 (c) -4/5 (d) 0.4 a What is the smallest value in -3, -0.04, 1, -13? -13 Which is the smallest value? (a) -3 (b) -2/5 (c) 1/29 a What is the third biggest value
{ "pile_set_name": "DM Mathematics" }
08? k + 802 What is the x'th term of -6, 2, 10? 8*x - 14 What is the v'th term of -32, -58, -82, -104, -124, -142, -158? v**2 - 29*v - 4 What is the t'th term of 828, 1663, 2486, 3291, 4072, 4823, 5538? -t**3 + 842*t - 13 What is the k'th term of -45, -60, -81, -108, -141, -180? -3*k**2 - 6*k - 36 What is the f'th term of -27, -26, -23, -18, -11? f**2 - 2*f - 26 What is the m'th term of 19, 18, 9, -14, -57, -126, -227, -366? -m**3 + 2*m**2 + 18 What is the u'th term of 0, 5, 10, 15, 20, 25? 5*u - 5 What is the l'th term of 148, 149, 150, 151, 152? l + 147 What is the a'th term of 88, 89, 92, 97, 104? a**2 - 2*a + 89 What is the i'th term of -15051, -30104, -45157, -60210, -75263, -90316? -15053*i + 2 What is the y'th term of -58, -102, -156, -226, -318, -438, -592, -786? -y**3 + y**2 - 40*y - 18 What is the r'th term of -57, -240, -735, -1698, -3285, -5652, -8955? -26*r**3 - r - 30 What is the v'th term of -14, -13, -10, -5, 2, 11, 22? v**2 - 2*v - 13 What is the l'th term of 567, 568, 569? l + 566 What is the g'th term of 42, 37, 32? -5*g + 47 What is the v'th term of 197, 389, 581, 773, 965? 192*v + 5 What is the l'th term of 261, 259, 259, 261? l**2 - 5*l + 265 What is the i'th term of -164, -385, -616, -863, -1132, -1429? -i**3 + i**2 - 217*i + 53 What is the c'th term of -3719, -7433, -11147, -14861, -18575, -22289? -3714*c - 5 What is the y'th term of 169, 336, 503? 167*y + 2 What is the q'th term of 709, 1414, 2125, 2842, 3565, 4294, 5029? 3*q**2 + 696*q + 10 What is the t'th term of 1555, 1553, 1551? -2*t + 1557 What is the h'th term of 6232, 6228, 6222, 6214? -h**2 - h + 6234 What is the a'th term of 52, 87, 122, 157, 192? 35*a + 17 What is the q'th term of 26, 83, 194, 371, 626, 971, 1418, 1979? 2*q**3 + 15*q**2 - 2*q + 11 What is the h'th term of 3, 4, 7, 12, 19? h**2 - 2*h + 4 What is the u'th term of -19, -45, -91, -163, -267, -409, -595? -u**3 - 4*u**2 - 7*u - 7 What is the v'th term of 2537, 2538, 2539? v + 2536 What is the h'th term of -574, -1153, -1742, -2347, -2974, -3629? -h**3 + h**2 - 575*h + 1 What is the n'th term of -56, -62, -72, -86, -104, -126, -152? -2*n**2 - 54 What is the g'th term of 699, 711, 737, 783, 855, 959? g**3 + g**2 + 2*g + 695 What is the j'th term of -16, -51, -86, -121, -156, -191? -35*j + 19 What is the p'th term of -555, -1121, -1687, -2253? -566*p + 11 What is the t'th term of 59, 94, 129? 35*t + 24 What is the z'th term of -381, -754, -1127, -1500, -1873, -2246? -373*z - 8 What is the m'th term of -325, -313, -287, -241, -169? m**3 + m**2 + 2*m - 329 What is the p'th term of 81, 121, 225, 423, 745, 1221, 1881? 5*p**3 + 2*p**2 - p + 75 What is the v'th term of -16, -28, -38, -46? v**2 - 15*v - 2 What is the z'th term of 24, 26, 28? 2*z + 22 What is the z'th term of 244, 333, 436, 559, 708, 889, 1108? z**3 + z**2 + 79*z + 163 What is the r'th term of 150, 612, 1388, 2484, 3906, 5660? r**3 + 151*r**2 + 2*r - 4 What is the v'th term of 0, 17, 44, 87, 152, 245? v**3 - v**2 + 13*v - 13 What is the j'th term of 45, 97, 157, 225, 301, 385, 477? 4*j**2 + 40*j + 1 What is the m'th term of 179, 630, 1381, 2432? 150*m**2 + m + 28 What is the h'th term of 12, 105, 354, 837, 1632? 13*h**3 + 2*h - 3 What is the y'th term of 30, 26, 22, 18, 14, 10? -4*y + 34 What is the q'th term of 524, 1044, 1564? 520*q + 4 What is the m'th term of -22, -36, -64, -112, -186, -292, -436, -624? -m**3 - m**2 - 4*m - 16 What is the l'th term of -10, -64, -214, -508, -994? -8*l**3 + 2*l - 4 What is the y'th term of 937, 935, 933? -2*y + 939 What is the u'th term of -6, 2, 14, 30, 50? 2*u**2 + 2*u - 10 What is the a'th term of -103, -207, -317, -433? -3*a**2 - 95*a - 5 What is the a'th term of -449, -461, -475, -491, -509? -a**2 - 9*a - 439 What is the c'th term of -30, -196, -640, -1500, -2914, -5020, -7956? -23*c**3 - c**2 - 2*c - 4 What is the f'th term of -1648, -1646, -1644, -1642, -1640, -1638? 2*f - 1650 What is the x'th term of 29, 114, 313, 674, 1245? 8*x**3 + 9*x**2 + 2*x + 10 What is the s'th term of 645, 1294, 1943? 649*s - 4 What is the j'th term of 505, 500, 493, 484, 473, 460? -j**2 - 2*j + 508 What is the f'th term of -247, -250, -253, -256? -3*f - 244 What is the n'th term of 1, 2, 13, 40, 89, 166, 277? n**3 - n**2 - 3*n + 4 What is the p'th term of -324, -329, -346, -381, -440? -p**3 + 2*p - 325 What is the i'th term of 62, 258, 586, 1046, 1638, 2362, 3218? 66*i**2 - 2*i - 2 What is the s'th term of -511, -508, -493, -460, -403, -316, -193, -28? s**3 - 4*s - 508 What is the d'th term of 252, 508, 752, 978, 1180? -d**3 + 263*d - 10 What is the o'th term of 107, 174, 229, 266, 279, 262, 209, 114? -o**3 + 74*o + 34 What is the m'th term of 25, 95, 207, 361, 557, 795? 21*m**2 + 7*m - 3 What is the v'th term of -16, -57, -152, -325, -600, -1001, -1552, -2277? -4*v**3 - 3*v**2 - 4*v - 5 What is the t'th term of 5, -1, -21, -61, -127, -225? -t**3 - t**2 + 4*t + 3 What is the s'th term of -73, -76, -79, -82, -85? -3*s - 70 What is the w'th term of -20, -22, -26, -32, -40? -w**2 + w - 20 What is the a'th term of -173, -340, -505, -668, -829, -988? a**2 - 170*a - 4 What is the m'th term of 20, 9, -2, -13, -24, -35? -11*m + 31 What is the r'th term of 345, 1369, 3075, 5463? 341*r**2 + r + 3 What is the b'th term of -2263, -2256, -2249? 7*b - 2270 What is the i'th term of 12, -19, -98, -249, -496? -4*i**3 - 3*i + 19 What is the a'th term of -18, -21, -24, -27, -30, -33? -3*a - 15 What is the p'th term of 6554, 6548, 6530, 6494, 6434, 6344? -p**3 + p + 6554 What is the m'th term of 19, 10, -21, -86, -197, -366, -605? -2*m**3 + m**2 + 2*m + 18 What is the p'th term of 20, 65, 116, 173? 3*p**2 + 36*p - 19 What is the o'th term of 13, 63, 145, 265, 429? o**3 + 10*o**2 + 13*o - 11 What is the f'th term of 2, 19, 52, 107, 190? f**3 + 2*f**2 + 4*f - 5 What is the k'th term of -1633, -3255, -4877, -6499, -8121? -1622*k - 11 What is the o'th term of -103, -104, -107, -112, -119, -128? -o**2 + 2*o - 104 What is the n'th term of -256, -258, -260, -262, -264, -266? -2*n - 254 What is the i'th term of -11, -47, -107, -191, -299? -12*i**2 + 1 What is the k'th term of 7, 1, -17, -53, -113, -203, -329, -497? -k**3 + k + 7 What is the j'th term of 8716, 17430, 26144? 8714*j + 2 What is the i'th term of -23490, -23491, -23492? -i - 23489 What is the s'th term of -12, -38, -84, -156, -260? -s**3 - 4*s**2 - 7*s What is the i'th term of -62, -62, -60, -56, -50, -42? i**2 - 3*i - 60 What is the a'th term of 145, 492, 1071, 1882, 2925, 4200? 116*a**2 - a + 30 What is the c'th term of -35, -23, -3, 25, 61, 105? 4*c**2 - 39 What is the l'th term of -608, -600, -590, -578, -564, -548? l**2 + 5*l - 614 What is the j'th term of 581, 1160, 1739, 2318? 579*j + 2 What is the v'th term of 112, 89, 28, -89, -280, -563, -956? -3*v**3 - v**2 + v + 115 What is the z'th term of -861, -860, -859, -858, -857? z - 862 What is the r'th term of 67, 78, 87, 94, 99? -r**2 + 14*r + 54 What is the h'th term of -77, -324, -737, -1316, -2061, -2972, -4049? -83*h**2 + 2*h + 4 What is the r'th term of -17, -24, -33, -44? -r**2 - 4*r - 12 What is the a'th term of 2494, 4994, 7494, 9994, 12494? 2500*a - 6 What is the o'th term of -368, -362, -352, -338? 2*o**2 - 370 What is the j'th term of -12685, -12684, -12683, -12682? j - 12686 What is the v'th term of 11645, 11646, 11647, 11648, 11649, 11650? v + 11644 What is the z'th term of 16, 57, 126, 223, 348, 501? 14*z**2 - z + 3 What is the s'th term of -9, -27, -55, -99, -165, -259, -387, -555? -s**3 + s**2 - 14*s + 5 What is the k'th term of -76, -70, -58, -40? 3*k**2 - 3*k - 76 What is the g'th term of 72, 56, 34, 6, -28, -68? -3*g**2 - 7*g + 82 What is the t'th term of -17308, -17312, -17318, -17326, -17336? -t**2 - t - 17306 What is the t'th term of 2592, 2578, 2550, 2502, 2428, 2322, 2178? -t**3 - t**2 - 4*t + 2598 What is the c'th term of -123, -256, -399, -558, -739, -948, -1191, -1474? -c**3 + c**2 - 129*c + 6 What is the g'th term of -1797, -1801, -1805? -4*g - 1793 What is the a'th term of 110, 101, 78, 35, -34, -135, -274, -457? -a**3 - a**2 + a + 111 What is the d'th term of -238, -231, -220, -205? 2*d**2 + d - 241 What is the q'th term of 4219, 4218, 4227, 4252, 4299? q**3 - q**2 - 5*q + 4224 What is the y'th ter
{ "pile_set_name": "DM Mathematics" }
est value? (a) -0.1 (b) -1 (c) -0.2829 (d) 0.45 (e) -2/7 (f) 0.2 (g) -4 a What is the third biggest value in -0.4, -0.3, 355625, 0.14, 0? 0 What is the seventh biggest value in -5, -59, 4.8, 0.2, 0, -2/3, -7? -59 Which is the fifth smallest value? (a) 5 (b) -2/17 (c) 398 (d) -25.1 (e) -2/5 (f) -3 a Which is the fourth biggest value? (a) 3/11 (b) -4320 (c) -20 (d) 4 b Which is the third biggest value? (a) 5 (b) 2797787 (c) -0.5 (d) -3 (e) 0.3 e What is the third biggest value in 1/4, 30873, 781? 1/4 What is the second biggest value in -137, -0.0525, 1/7, -1/4, 0.4? 1/7 Which is the fourth smallest value? (a) -0.039 (b) -16094 (c) -1 (d) -2/11 (e) 5 a Which is the fifth smallest value? (a) 0.4 (b) 0.01 (c) -3 (d) -29 (e) 12 (f) 0 a Which is the second biggest value? (a) -2/29 (b) 1743 (c) -2/5 (d) 1 (e) 0.3 d What is the biggest value in 2, 4/5, 1387, -8? 1387 What is the third biggest value in 1/4, 4/11, -18712.58? -18712.58 What is the fourth smallest value in 12, -137, -4, -3, 415, -3/2, -5? -3 What is the smallest value in -0.036, -0.1, 10651? -0.1 What is the third biggest value in 13449, -987, -5? -987 Which is the fourth biggest value? (a) 0.1 (b) 1 (c) 2/227 (d) -9.71 (e) -3/5 e Which is the second biggest value? (a) 5/7 (b) 0.07 (c) -2231 (d) 5 (e) -2/11 a What is the smallest value in -12178, -271.36, 1/4? -12178 What is the fourth smallest value in 4, 373/21, 0.3, 1/2, -1/3, 0.1, -3? 0.3 What is the second smallest value in 0, 5/8, -1/3, -15, 3/5? -1/3 What is the fourth biggest value in -1/9, -271, -1, -0.4698, 2/11? -1 What is the fourth smallest value in 5, -38, 0.5, 11.3396, 1, 3/5? 1 What is the fourth smallest value in 5, -2/5, 7/102, 0.3, 1.1, 2? 1.1 What is the fourth biggest value in 0.5, 1, -1, -2, 0, -160, 1/651? 0 Which is the third smallest value? (a) 13 (b) 120 (c) -14 (d) -1 a Which is the second smallest value? (a) -2/11 (b) 0.2 (c) 3/707044 c Which is the fourth smallest value? (a) 3 (b) -4/5 (c) -0.01 (d) -5 (e) 5/163 (f) 2/7 e What is the fifth biggest value in 0.15, 1/3, 1, 2/15, -6/49, -5? -6/49 Which is the fifth biggest value? (a) 1 (b) -19 (c) 0.77 (d) 2 (e) 0.051 (f) -0.3 f Which is the fourth biggest value? (a) -1.42 (b) -0.03 (c) -2/7 (d) 0.5 (e) 123 (f) 0 b What is the second smallest value in 6, -1, 2/19, -2, -3, 0.03, 0.83? -2 What is the seventh biggest value in -4, -0.3, -0.1, 7, -2/11, 35, 0.4? -4 What is the second biggest value in 3, -11.4, 2/3, 180/29, 6/7? 3 Which is the third biggest value? (a) 6/19 (b) -297 (c) -8 b What is the fifth biggest value in 1/4, -153, -1, 0.1, -84? -153 Which is the third smallest value? (a) 3/8 (b) -2.1 (c) 13180 c What is the third biggest value in 5, 106/9, 2, 2/57, -181? 2 What is the third smallest value in -3.344, -0.01, 5, 9/7? 9/7 Which is the biggest value? (a) -0.241 (b) 36 (c) -1/6 b Which is the sixth biggest value? (a) 3/5 (b) -0.2 (c) 0.5 (d) -2/211 (e) -0.4 (f) 65 (g) -4 e What is the third biggest value in -17, -19, -7, 606, 4? -7 Which is the third biggest value? (a) -4/3 (b) 5 (c) -717 (d) -5 (e) -3/4 a What is the third biggest value in -54, 3, -1.3, 6, -0.3? -0.3 Which is the fourth biggest value? (a) 5 (b) -17.61 (c) -0.1 (d) -92 (e) -5 (f) -1/3 e What is the biggest value in -152, 1/3, -63.888? 1/3 Which is the third smallest value? (a) 0.2 (b) -0.051 (c) -7 (d) 1 (e) -1 (f) 29.9 b Which is the third biggest value? (a) 5 (b) -2480/3103 (c) 2/13 b Which is the fourth smallest value? (a) 1/9 (b) -5/2 (c) 3/4 (d) 2/21 (e) -0.95 (f) -5206 d Which is the biggest value? (a) 2/7 (b) 14 (c) 512 (d) 3 (e) -0.083 c Which is the fourth smallest value? (a) 0.07 (b) 201/4 (c) 0.08 (d) -0.132 b What is the fifth smallest value in 1.12, 320, 0.5, 4, 0? 320 What is the third biggest value in -2, -15, 934/3, 0.1, -2/65? -2/65 What is the fifth smallest value in 3, -0.0498, -0.5, -9, 3.1, -2/7? 3 Which is the biggest value? (a) -35/6 (b) -1054/19 (c) -5 c Which is the second smallest value? (a) 0 (b) -1/2 (c) 9 (d) 0.9 (e) 1/8 (f) 123 a Which is the third biggest value? (a) 1/9 (b) 9 (c) 6.518 (d) -80 a Which is the third smallest value? (a) -14 (b) 31/10 (c) -13115 b What is the fifth smallest value in 4, -2/5, -6, 3/5, -261, -2, -6/5? -2/5 Which is the fifth smallest value? (a) -186 (b) -1715 (c) -0.1 (d) -3/17 (e) -2 (f) -0.4 d What is the fourth biggest value in 126/5, -6, 4, 2/3, -57, -23? -6 What is the fourth smallest value in 3, -0.14, 3/4, -4/13, -0.9, 0.11, 5? 0.11 Which is the fifth smallest value? (a) 0 (b) -1.9 (c) 62/21 (d) -0.03 (e) 3 (f) -32 (g) 0.2 g What is the fourth biggest value in -0.5, -1/3, 1/3, 5, -1286? -0.5 What is the third smallest value in -689/72, -0.43, -1, -8? -1 What is the second smallest value in -0.2, -0.03, -36, -1775? -36 Which is the biggest value? (a) 0.1 (b) -0.2 (c) -7 (d) -15 (e) -2 (f) 11/6 (g) 4 g What is the second biggest value in -183, -42/61, 0.209, -3? -42/61 Which is the fifth smallest value? (a) -4/11 (b) -5 (c) -3/16 (d) 0.4 (e) -0.1 (f) -4 (g) 650 e What is the second smallest value in -2/5, -0.3, 3, -151, -7/37, 4? -2/5 Which is the fourth smallest value? (a) 2447 (b) 9 (c) -0.1 (d) 1/4 (e) 13 e What is the fifth smallest value in 3/7, 2/9, 2/15, -0.5, -14/9, 2, 4? 3/7 Which is the biggest value? (a) 3 (b) 2/9 (c) 4 (d) 1 (e) -0.11 (f) -6 (g) -1/4 c Which is the fifth biggest value? (a) 1/4 (b) 158.5 (c) -5 (d) 162 (e) 9 c What is the smallest value in 5241, -6434, -0.2? -6434 Which is the third biggest value? (a) -0.1 (b) -2 (c) -1 (d) 3/7 (e) 3 (f) -3 a Which is the fifth smallest value? (a) -2 (b) 5 (c) 3 (d) 2.975 (e) 3/5 (f) 1/4 (g) -0.134 d What is the second biggest value in 4, -259, 2/11, 257181? 4 What is the smallest value in 0.2, 2, 1, -20398? -20398 What is the second smallest value in -23937637, 2/23, 5? 2/23 Which is the fifth biggest value? (a) 1 (b) -5 (c) -3 (d) -1541433 (e) 5/9 d What is the sixth smallest value in -3, -28, 0, -130, -4, -42/5? 0 Which is the seventh biggest value? (a) -2/17 (b) -2/7 (c) 6 (d) -91 (e) 4 (f) -0.36 (g) -3 d Which is the seventh smallest value? (a) 5 (b) -2 (c) 39 (d) 0.04 (e) 2 (f) -6.8 (g) 4/9 c Which is the third biggest value? (a) -4/21 (b) -1/6587 (c) -0.06 (d) 4/7 c Which is the third smallest value? (a) 1/3 (b) 0.06164 (c) 1/10 (d) 2 a Which is the second biggest value? (a) -17/5 (b) -11 (c) -2/13 (d) 0.2133 c What is the fifth biggest value in -424/7, -3/4, 215, 0, 3, -0.4? -3/4 What is the second smallest value in -35, 57, -464? -35 What is the smallest value in -149280.8, 9, 4, -5, -1? -149280.8 Which is the third smallest value? (a) 1 (b) 25103774 (c) 0 b Which is the fourth smallest value? (a) -0.5 (b) -1726 (c) -2/7 (d) 2/13 (e) -1090 c Which is the fifth biggest value? (a) -17 (b) 0.49 (c) -4 (d) -18.7 (e) -2/5 (f) 2 a What is the fourth biggest value in 0.5, -1/3, -2/11, 177.51? -1/3 What is the second biggest value in -4/15, 199.2, -0.4, 1537? 199.2 What is the fifth smallest value in 2/7, 4/5, 12/11, 33.19, -2? 33.19 Which is the biggest value? (a) -11/26 (b) -1/5 (c) -2/25 (d) 7/2 d Which is the third smallest value? (a) 98 (b) 3866 (c) 0.3 (d) 4 (e) -0.03 d What is the smallest value in 0, 0.5, -96/69277? -96/69277 Which is the third biggest value? (a) 434 (b) -2 (c) 120272 (d) 3 (e) 1/5 (f) 1/10 d Which is the sixth smallest value? (a) 3 (b) 0.1 (c) 158 (d) 0.018 (e) 0.5 (f) -2/35 c What is the smallest value in -11/10, -5, -1, -10/7, 879? -5 Which is the second biggest value? (a) -26294 (b) -2/189 (c) -7/6 c What is the third biggest value in 61, -0.5193, -3/5, 2? -0.5193 What is the fifth biggest value in -0.06, 378/11, 1127, 0.1, -0.4? -0.4 Which is the third biggest value? (a) 767 (b) 4 (c) -630 (d) 3/37 d What is the second biggest value in -17599, 0.02, -5? -5 Which is the fourth smallest value? (a) 5 (b) 1/4 (c) -4 (d) -6/19 (e) 2/111 (f) 1 (g) 1/3 b Which is the sixth smallest value? (a) -0.04 (b) 23 (c) -2/29 (d) 59 (e) 1/5 (f) -1/6 (g) 0.6 b What is t
{ "pile_set_name": "DM Mathematics" }
assuming j is positive. j**(-94/7) Simplify t**11/t*t/(t/(t/(t*t*t*t**(-2/23))*t))*t*t*t**(-5/4)/t*t**(2/3) assuming t is positive. t**(2623/276) Simplify ((l/(l**17/l))/l)/l**(5/8)*(l**(-4))**(32/9) assuming l is positive. l**(-2221/72) Simplify j**21*j*j**(-6/11)*j*(j**7)**(-13) assuming j is positive. j**(-754/11) Simplify i*i/(i/(i/(i*i**21)))*i**1/i*i*(i**(-9)*i)**38 assuming i is positive. i**(-323) Simplify (i**(-2)*i*i*i**5*(i*i/((i**(-2/19)/i)/i)*i*i)/i*i*i**(-6))**(6/5) assuming i is positive. i**(582/95) Simplify (b/(b*b*b*b/(b/((b*b*b**6)/b))))/b*b**(3/8)*(b**(-4/5))**(-1/61) assuming b is positive. b**(-23453/2440) Simplify (a**(2/11)/a)**(-15/11)*((a*a*a*a/(a/a**11)*a)/a)/(a/a**(2/11)) assuming a is positive. a**(1730/121) Simplify (x*x**(-5/6)*x/(x/(x/x**(-2/13)))*x)/(x/(x/(x/(x*x*x/x**(-16))))*x**(-1/4)*x) assuming x is positive. x**(3053/156) Simplify (n**2)**12/((n*n**6*n)/n*n**(2/13)) assuming n is positive. n**(219/13) Simplify ((t*t**(1/4))**(-39)/(t**(-2/9))**(-15/2))**(-20) assuming t is positive. t**(3025/3) Simplify w**(3/13)*w**(-1)*((w/((w/w**(2/39))/w))/w)/w*w**(-2/7) assuming w is positive. w**(-547/273) Simplify (l*(l*(l*l*l**(-30))/l*l)/l*l*(l*l*l/((l/l**(1/41))/l))/l)/(((l**23/l)/l*l*l)/l**(-26/9)) assuming l is positive. l**(-18400/369) Simplify (v**13*v*(v*v*v**(-13)*v)/v*v)/(v**(1/6)/(v**(-2/15)/v)) assuming v is positive. v**(27/10) Simplify ((g/(g**(3/5)/g))/g*g*g/(g**(-30)*g*g))/(g**10)**(-35) assuming g is positive. g**(1902/5) Simplify (y/y**(-7/4))**36/(y**4/((y**(-34)*y)/y)) assuming y is positive. y**61 Simplify v**7*v*v**(-12)*(v/(v/v**(3/4)))/v*v/(v**(10/3)*v) assuming v is positive. v**(-91/12) Simplify (a**(-3)*a**7)/(a**(-9)*a/(a**13*a)) assuming a is positive. a**26 Simplify ((v/((v/v**(2/29))/v)*v*v/v**(-1/15)*v)**(13/7))**(9/4) assuming v is positive. v**(10023/580) Simplify ((z/(z/z**(-1/4)*z))/((z/(z**(8/9)*z))/z))/((z/(z/(z**(-2)/z)))/(z**(-1/3)*z)) assuming z is positive. z**(155/36) Simplify (z/(z**8/z))**25*(z/((z/(z*z/((z**5/z)/z)))/z))**(-7) assuming z is positive. z**(-150) Simplify (n/((n**(1/3)/n)/n))**(2/9)/(n/n**(-2/5))**0 assuming n is positive. n**(16/27) Simplify ((j**2)**15*(j/(j*j**(-2/7)))**(-5/3))**(-1/7) assuming j is positive. j**(-620/147) Simplify (g**18*g**18)**32 assuming g is positive. g**1152 Simplify ((l/l**1)**3*l**3*l**(-1/3)/l)**(-24) assuming l is positive. l**(-40) Simplify (m/m**(-3/7)*m/(m/m**(2/13)*m*m))/(m**4/(m*m**(-8))) assuming m is positive. m**(-1039/91) Simplify ((q*(q**(-1)*q)/q*q)**40/((q*q**(-1))/q**(-4/7)))**16 assuming q is positive. q**(4416/7) Simplify (a**5*a*a*a**(1/8)*a)/((a/(a/a**(10/3)))/(a/a**2)) assuming a is positive. a**(91/24) Simplify (u**(-3)/u)**41*(u*u/u**6*u*u)/(u*u**(3/8)*u*u) assuming u is positive. u**(-1355/8) Simplify ((p**1*p)/(p/(p*p**(3/14))*p))/(p**(-3/19))**(-49) assuming p is positive. p**(-1735/266) Simplify (t*t**2)**19/(t**(1/3)/t)**1 assuming t is positive. t**(173/3) Simplify ((d/(d/((d/(d*d**(2/7)))/d)*d*d))/d**(-4/9))/(d**(-1/4)*d)**(26/7) assuming d is positive. d**(-709/126) Simplify ((v**(-2)/v)**(-2/109)/(((v/(v**(-5)*v))/v*v)/(v**(3/4)/v)))**(-1/23) assuming v is positive. v**(2265/10028) Simplify (q**(-1))**26*(q*q**(-1/5))**(-18) assuming q is positive. q**(-202/5) Simplify (w**(-1/15)*(w/w**(-23))/w*w*w)/((w/(w/w**(-6/5)*w))/(w*w/w**17*w)) assuming w is positive. w**(197/15) Simplify (z*z/(z/(z/(z*(z/(z/(z/(z/z**(-20))*z)))/z))))**(-48)*(z/z**(23/5))/(z*z**(-23)) assuming z is positive. z**(-4948/5) Simplify ((p**(-5)/p**(2/9))/(((p**(1/2)/p*p)/p*p)/p**(-4)))**40 assuming p is positive. p**(-3500/9) Simplify (((a/(a**(-2/3)/a))**(-42/5))**10)**(-7/4) assuming a is positive. a**392 Simplify ((t**(-6))**(3/5))**(-19) assuming t is positive. t**(342/5) Simplify (m*m*m/(m*m**7))**(-34/5)*m**(-18)/(m*m**4) assuming m is positive. m**11 Simplify k**(11/5)*k*((k/k**23)/k*k)/k*(k*k/k**20)**(-12) assuming k is positive. k**(981/5) Simplify (y/(y/(y/((y*y**(16/5))/y)))*y**14/y*y)/(y**(3/13)*y**3) assuming y is positive. y**(557/65) Simplify ((x**(2/11)*x*x*x/(x/(x/((x/(x/(x*x**(-2)*x))*x*x)/x*x))))**(-12))**(2/29) assuming x is positive. x**(-312/319) Simplify (t/(t/t**11))**(1/32)*(t/(t*t**(-9/4)*t))/(t**(-21)*t) assuming t is positive. t**(691/32) Simplify (((i/i**(1/2))/(i*i**(5/4)))/(i*i**(-3)*i**(2/9)))**(-3/28) assuming i is positive. i**(-1/336) Simplify d*d**7*d*d**(-21)*(d**(-1/2))**(18/11) assuming d is positive. d**(-141/11) Simplify ((((v/(v/((v/v**(-23))/v)))/v)**(-1/6))**4)**7 assuming v is positive. v**(-308/3) Simplify (x*x/(((x/(x/(x/x**(-3/16))))/x)/x*x)*x*x*x**(-7/6)*x)/(x**9/x**(-10)) assuming x is positive. x**(-737/48) Simplify ((g**15/g)/g**(1/4))/(g/(g*g**0/g)*g**(5/8)) assuming g is positive. g**(97/8) Simplify (x**(-6/11)*x)**(-28)/(x**(6/17)*x*x**(2/11)) assuming x is positive. x**(-2667/187) Simplify j**(-3/5)*j**(2/17)*(j/(j*j/j**(-11))*j)/(j*j**(1/19)) assuming j is positive. j**(-20244/1615) Simplify n**(-10/3)*n**(-22)*(n/(((n/(n/(n**(-2)/n)))/n)/n))**(1/26) assuming n is positive. n**(-979/39) Simplify (z**(-17)*z*z/(z**(-8)*z)*z)/((z/(z*z/(((z*z*z**7)/z)/z)))/z)**(1/7) assuming z is positive. z**(-54/7) Simplify ((p/(p/(p**0/p)*p))**(-6)/(p/p**0)**(21/5))**(2/39) assuming p is positive. p**(2/5) Simplify q**(4/3)/(q*q*q**(-1/5)*q)*q**(-5)*(q/(q/(q*q**5)))/q assuming q is positive. q**(-22/15) Simplify ((k/(k**42/k))/(k/((k*k/(k**(2/65)*k*k))/k)))**(7/5) assuming k is positive. k**(-19124/325) Simplify ((q**1/q)/q*q)/(q*q**(1/14))*(q*q*q**(-7))/q**(-5/6) assuming q is positive. q**(-110/21) Simplify (a/(a/(a/a**32)*a))/a*(a/a**(-28)*a)/a*a**(2/7)/(a*(a**27*a)/a) assuming a is positive. a**(-222/7) Simplify (q/(q*q*q**1)*q)**(-11)/(q*q**(1/5)*q)**(-48) assuming q is positive. q**(583/5) Simplify o**(-2/25)/(o/(o*o/((o*o**(6/17)/o)/o)))*o/o**13*(o/(o*(o/o**(6/11))/o*o))/o*o*o assuming o is positive. o**(-46224/4675) Simplify (((j/j**(-2))**(-7))**(-14))**(2/63) assuming j is positive. j**(28/3) Simplify ((u/u**(-2/13))/u)**18*(u**(-1/7)*u*u)/(u*u**(-2/17)*u*u) assuming u is positive. u**(2698/1547) Simplify (((k/k**(3/5))/k)**(-25)/(k/k**(3/4))**(-1/26))**4 assuming k is positive. k**(1561/26) Simplify (z*z**(-13))**(12/5)*(z**13*z)**(7/11) assuming z is positive. z**(-1094/55) Simplify (k**(3/2)/((k**(-36)*k)/k))**(32/5) assuming k is positive. k**240 Simplify ((d/(d**(-8)/d)*d)/(d**(6/17)*d))/(d/(d/d**(-24))*d**(-15)/d) assuming d is positive. d**(844/17) Simplify (((q/(q*q**(-4)))/q**(-2/9))**47)**43 assuming q is positive. q**(76798/9) Simplify (x/((x/x**0)/x))**(2/29)*x**(-1/4)*x**(-21)*x assuming x is positive. x**(-2341/116) Simplify ((o*o**(-2/3))/o**(1/9)*(o**1/o)**(-1/40))**(-1/5) assuming o is positive. o**(-2/45) Simplify ((d**(1/9)*d)/d)**(2/71)*(d**(1/18)/d)**(-8) assuming d is positive. d**(1610/213) Simplify (h**19)**(1/12)/(h/(h*h**(2/51)))**(-26) assuming h is positive. h**(115/204) Simplify ((g/(g*((g**(2/3)*g)/g)/g))/g*g**19)**(7/4) assuming g is positive. g**(385/12) Simplify n**(-3/8)/n*n/n**22*n**(-5)/n**(2/15) assuming n is positive. n**(-3301/120) Simplify ((z/((z/z**33)/z))/z**(-8/11))/(z*z**0)**(-44) assuming z is positive. z**(866/11) Simplify (n*n/(n*n**(-4)/n)*n)/(n**(2/23)/n)*n**(9/7)/(n*n/n**(3/5)*n) assuming n is positive. n**(5473/805) Simplify (((l*l**(1/9))/l)/(l*l*l*l/l**(-13)*l))**(-24) assuming l is positive. l**(1288/3) Simplify (c*c**(-13))/c**(-2/3)*c**9/c**(-16) assuming c is positive. c**(41/3) Simplify (h/h**26)/h**18*(h**(4/7))**(-28) assuming h is positive. h**(-59) Simplify x**(-2/7)/(x/x**(-1/6))*((x**(-9)/x)/x)/(x**3/x) assuming x is positive. x**(-607/42) Simplify (q**2)**15*(q**(-7)/q)/(((q*q/q**(-1)*q)/q)/q) assuming q is positive. q**20 Simplify (n/n**(2/11))/n**9*n**(-4)*(n*n**(-25)*n*n*n*n)/n*n assuming n is positive. n**(-354/11) Simplify o**17/o**(19/4)*(o*o**(-2))/(o/o**16) assuming o is positive. o**(105/4) Simplify (u**(-35)*u/(u*u/(u**(-35)/u)))/(u**(2/5)/((u/u**(-3/19))/u*u)) assuming u is positive. u**(-6768/95) Simplify ((o**(3/20)*o*o**(-12))**50)**43 assuming o is positive. o**(-46655/2) Simplify (((z/((z**(2/7)*z)/z))/(z/z**(-1/4)))/((z**1*z)/(z**(1/2)*z*z)))**36 assuming z is positive. z**(-9/7) Simplify (p**
{ "pile_set_name": "DM Mathematics" }
(s) wrt s? 7 Let o(z) be the first derivative of 0*z - 5 - 4/3*z**3 + 4*z**2. What is the second derivative of o(s) wrt s? -8 Let s(u) = -150*u**2 - 30*u - 21. Let m(k) = 15*k**2 + 3*k + 2. Let o(b) = -21*m(b) - 2*s(b). Find the second derivative of o(y) wrt y. -30 Let u = 11 + -5. Find the third derivative of -132*t + 132*t - u*t**4 + t**2 wrt t. -144*t Suppose 0 = -z + 3. Suppose s = -c + 4*c - 10, 5*c - z*s - 22 = 0. What is the derivative of 4 + g**3 - c - 2*g**3 wrt g? -3*g**2 Let g(v) = -3*v**4 - 5*v**3 + 5*v**2 - 5*v - 5. Let c(f) = f**4 + f**3 - f**2 + 1. Let u(p) = -5*c(p) - g(p). What is the second derivative of u(r) wrt r? -24*r**2 Let w(u) = -9*u**5 + 2*u**2 - 8*u. Let g(v) = -19*v**5 + 5*v**2 - 16*v. Let f(r) = 2*g(r) - 5*w(r). What is the second derivative of f(s) wrt s? 140*s**3 Let h(l) = -10*l**3 - 5*l**2 - 5*l - 5. Let a(t) = -9*t**3 - 4*t**2 - 6*t - 6. Let c(i) = 5*a(i) - 6*h(i). Find the third derivative of c(s) wrt s. 90 Let c be (0 - 0) + 5 + -3. Suppose 2*t + x = 10, -10 = -c*t + x - 5*x. What is the second derivative of -m**5 + 3*m**5 - 3*m + 0*m**t wrt m? 40*m**3 Let h(n) = -8*n**2 - n**2 + 2*n**2 + 2*n**3 - n**3 + 8. Let l be h(7). Differentiate -l*q + 4*q**3 - 1 + 8*q wrt q. 12*q**2 Differentiate -6*f**3 - 68*f**2 + 68*f**2 + 3 wrt f. -18*f**2 Suppose -h + 1 = -1. Find the second derivative of -4*x**2 + 10*x**5 - 15*x**5 + 2*x + 4*x**h wrt x. -100*x**3 Let f(p) be the third derivative of 0*p**6 + 0*p + 0*p**5 + 0 + 0*p**3 + 1/24*p**4 + p**2 + 1/210*p**7. Find the second derivative of f(i) wrt i. 12*i**2 Let c(w) = w**3 - 4*w**2 - w + 5. Let i be c(4). Differentiate 2*y**3 + i + 4*y**3 + 0*y**3 + 3 with respect to y. 18*y**2 Let z(f) be the second derivative of f**6/30 + 5*f**4/6 - 3*f. What is the third derivative of z(m) wrt m? 24*m Let y(v) = 3*v**4 + 6*v**3 - 6*v**2 + 6*v - 12. Let c(x) = -x**4 - x**3 + x**2 - x + 1. Let w(a) = -6*c(a) - y(a). Differentiate w(o) with respect to o. 12*o**3 Let i(b) = 2*b**2 - 12*b + 5. Let n(p) = -3*p**2 + 18*p - 8. Let a(t) = 8*i(t) + 5*n(t). Find the second derivative of a(d) wrt d. 2 Let d(v) be the first derivative of -19*v**5/5 + 19*v**2/2 + 17. Find the second derivative of d(y) wrt y. -228*y**2 Let q = -3 + 3. Suppose q = -z + 3. Find the third derivative of -i**z + 2*i**2 - i**3 - 3*i**2 wrt i. -12 Let z(d) be the third derivative of -1/210*d**7 + 0*d**6 + 0*d**4 + 0*d + 0 + 0*d**5 - 6*d**2 + 2/3*d**3. Differentiate z(m) wrt m. -4*m**3 Find the third derivative of 3*a**2 - 45*a**2 - 3*a**3 - a**4 + 3*a**4 - 4*a**3 wrt a. 48*a - 42 Let x(i) = -i**3 + 3*i**2 + 5*i - 2. Let j be x(4). What is the third derivative of 3*t**j + t**2 - 3*t**2 + 2*t**4 wrt t? 48*t What is the second derivative of -25*u + 11*u**4 + 0*u**4 + 8*u**4 - u**4 wrt u? 216*u**2 Let s(l) be the second derivative of -1/12*l**4 + 2*l + 1/20*l**5 + 0*l**3 + 0*l**2 + 0. What is the third derivative of s(v) wrt v? 6 What is the second derivative of 4 - 4 - 7*w - 6*w**4 + w**4 wrt w? -60*w**2 Let q(w) = -w**2 - 5*w - 1. Let h(c) = -c**2 - c. Let o(l) = -5*h(l) + q(l). Find the first derivative of o(y) wrt y. 8*y Suppose 2 = -d, 2*x - 4*d = -5*d + 4. What is the second derivative of -x*k**2 - 3*k**2 - k**2 + 2*k + 5*k**2 wrt k? -4 Let o(i) be the third derivative of 5*i**4/24 - 7*i**3/6 + 4*i**2. Find the first derivative of o(g) wrt g. 5 Let m(s) = s + 10. Let p be m(-5). Let l(v) = -v**3 + 3*v**2 + 6*v - 3. Let g be l(4). Find the second derivative of -3*h**p - h**g + 2*h**5 + 2*h wrt h. -40*h**3 Let s(q) = -q**2 - 4*q + 6. Suppose 0 = 5*v + 2 - 27. Let c(p) = -p**2 - 5*p + 7. Let f(a) = v*s(a) - 4*c(a). What is the derivative of f(o) wrt o? -2*o Find the second derivative of 3*t + 4*t + t - 4*t**4 + 0*t**4 wrt t. -48*t**2 Let j(p) be the first derivative of 0*p**2 - 4 - 1/3*p**3 - 3*p. What is the first derivative of j(a) wrt a? -2*a Let b(u) = -6*u**3 + 2*u**2 - 1. Let y(d) = d**3 - d**2 - 1. Let p = -6 + 7. Let f(j) = p*b(j) + 2*y(j). What is the derivative of f(v) wrt v? -12*v**2 What is the second derivative of -2*p + 14 + 12 - 26 + 18*p**2 wrt p? 36 Suppose -2*h + 3 = -3. Suppose 2*l = -3*l + 15. What is the second derivative of n**3 - n - n**h - n**l wrt n? -6*n Let s = 21 - 4. What is the third derivative of 2*b**2 + 10*b**3 + 3*b**6 - s*b**3 + 7*b**3 wrt b? 360*b**3 Let b(j) be the second derivative of 1/6*j**3 + 0*j**2 - 9*j + 1/4*j**4 + 0. Find the second derivative of b(z) wrt z. 6 Let k(o) = -o**3 + 7*o**2 - 7*o + 8. Let h be k(6). What is the second derivative of -4*s**2 + 2*s + 4*s**2 + 0*s - h*s**5 wrt s? -40*s**3 Let g(c) = 32*c**2 - 4*c + 7. Let q(i) = 30*i**2 - 4*i + 8. Let n(v) = 7*g(v) - 6*q(v). Find the second derivative of n(r) wrt r. 88 What is the derivative of 0*d**4 - 2 - 2*d**4 - 6*d**4 - 2 wrt d? -32*d**3 Let a(k) = -14*k**2 + 3*k - 36. Let p(m) = 13*m**2 - 4*m + 36. Let y(d) = -4*a(d) - 3*p(d). What is the derivative of y(z) wrt z? 34*z Suppose -3*m - f + 1 = 0, -5*m + 2*f + 14 = 5. Let s = 4 - m. Differentiate 4*i**3 + 6*i**s - 5*i**3 - 2*i**3 + 2 with respect to i. 9*i**2 Let s = 5 + 0. Let k = s - 5. Find the first derivative of -3*w + k*w + w + 5*w - 3 wrt w. 3 Let r(m) = -6*m - 2. Let g be r(-2). What is the second derivative of -g*s - s + s**3 + 4*s wrt s? 6*s Suppose 3*i - 41 = -5*n - 15, i + 4*n = 18. Find the third derivative of -5*u**4 - u**i + 0*u**2 - u**2 wrt u. -120*u Differentiate -3*b**4 + 5*b**4 - b**2 + 0 + 47 + 18*b**2 with respect to b. 8*b**3 + 34*b What is the third derivative of 0*b**5 - 17*b**2 - 9*b**2 - 2*b**5 wrt b? -120*b**2 Differentiate 5 - 4*d**2 - d**2 - 5*d**2 - 4*d**2 with respect to d. -28*d Let t(k) be the second derivative of k**7/105 + k**4/12 - k**2 - k. Let q(w) be the first derivative of t(w). Find the second derivative of q(p) wrt p. 24*p**2 Let u(w) be the first derivative of -8*w**3/3 + 13*w**2 - 32. What is the second derivative of u(o) wrt o? -16 Suppose -3*s + 10 = -0*s - 5*r, 5*s = -r + 26. What is the second derivative of s*d**5 + 8*d + 0*d**5 - 3*d**5 wrt d? 40*d**3 Let r(b) = -2*b - 12. Let d(x) = 2*x + 13. Let f(c) = -3*d(c) - 2*r(c). Differentiate f(l) wrt l. -2 Let a(b) be the third derivative of -b**7/210 - b**6/90 + b**3/2 - 2*b**2. Let n(o) be the first derivative of a(o). Find the third derivative of n(z) wrt z. -24 Let u(t) be the second derivative of t**7/840 + t**6/180 + t**4/6 + 4*t. Let v(w) be the third derivative of u(w). Find the second derivative of v(c) wrt c. 6 What is the first derivative of 6*l + 7*l - 13*l + 31 + 20*l**4 wrt l? 80*l**3 What is the second derivative of 41*t**5 - 87*t + 210*t - 90*t wrt t? 820*t**3 Let t(w) be the second derivative of 12*w**5/5 - 7*w**3/6 - 21*w. Find the second derivative of t(m) wrt m. 288*m Differentiate 0*g - 6*g + g + 3 with respect to g. -5 Let f(h) be the second derivative of h**3/3 + h**2/2 + 2*h. Let r be f(1). What is the second derivative of 3*s + s**3 + r - 3 wrt s? 6*s What is the third derivative of m**3 + 35*m**3 - 125*m**2 + 171*m**2 wrt m? 216 Let t(m) be the second derivative of -m**6/180 - m**5/60 - m**3/2 - 2*m. Let u(o) be the second derivative of t(o). Find the second derivative of u(v) wrt v. -4 Let c(r) be the third derivative of 7*r**6/120 - 13*r**5/60 - 3*r**2. What is the third derivative of c(b) wrt b? 42 Let n(u) = -35*u**3 - 11*u**2 + 41*u. Let i(o) = 18*o**3 + 6*o**2 - 21*o. Let b(j) = 11*i(j) + 6*n(j). What is the second derivative of b(y) wrt y? -72*y Let j(u) be the third derivative of -u**7/2520 + u**6/360 - u**5/20 - 3*u**2. Let t(h) be the third derivative of j(h). What is the derivative of t(k) wrt k? -2 Let m(c) = -10*c**2 + 2. Let u(w) = -w**2. Let g = 20 - 12. Let f = -9 + 8. Let s(v) = f*m(v) + g*u(v). Differentiate s(x) wrt x. 4*x Let b(q) be the first derivative of 7*q**5/5 - 8*q + 3. Differentiate b(p) with respect to p. 28*p**3 Let u = 6 + -5. What is the second derivative of u + n + n**3 - 1 + 0 wrt n? 6*n Let i(f) be the second derivative of -f**6/60 - f**4/6 - 2*f**2 + f. Let r(p) be the first derivative of i(p). Find the second derivative of r(d) wrt d. -12*d Let j(b) be the third derivative of -3*b**7/35 + 9*b**5/20 - 22*b**2. What is the third derivative of j(z) wrt z? -432*z Let u(v) = -2*v - 4*v + 9 + 15*v**3 + 0 - 2. Let f
{ "pile_set_name": "DM Mathematics" }
0.5 - i. Let j = 0.23 + 0.17. Which is the closest to -0.1? (a) j (b) 5 (c) w a Let x = 1 + -3. Let s = -6.07 - -8.07. Which is the nearest to s? (a) -1/5 (b) x (c) -4 a Let q = -3.3 - -0.3. Let j = -0.021 - -0.038. Let l = j + -0.217. Which is the nearest to l? (a) q (b) 3 (c) 1 c Let k = -1.09 - -1.19. Let s = -0.05 + -3.95. Which is the closest to s? (a) k (b) -1/5 (c) 1 b Let l = 1510 - 1512. What is the nearest to l in -8, 1/5, 0.06, -0.3? -0.3 Let i be (-1)/(-29)*-5*(-2)/(-30). Which is the nearest to i? (a) 1/5 (b) 2 (c) -1 a Let a(y) = -y**2 - y. Let h be a(0). Let j be ((-34)/(-51))/(40/(-6)). What is the nearest to h in -2, j, -0.5? j Let m = -1.5 - -1.49. Let z = -0.09 + m. Which is the nearest to -1/2? (a) 1 (b) z (c) 2/9 b Let w = -1/58 - -15/29. What is the closest to -0.1 in -4/5, 3, 0, w? 0 Let f be (0 - 3/(-27))/(11/(-66)). Which is the closest to 1? (a) -3/4 (b) -1/5 (c) f (d) 0.11 d Let y = -104 - -102. Let s(z) = -z**2 - 2*z + 1. Let u be s(0). Which is the closest to y? (a) -2/19 (b) 0.5 (c) u a Suppose 33*c - 43*c - 50 = 0. What is the closest to 4 in c, -0.4, -3? -0.4 Let b be -2*(2 + -1)*(-93)/(-806). What is the nearest to 2/7 in b, -2, 4/9? 4/9 Let t be ((-6)/(-10))/(18 + 4304/(-240)). What is the nearest to t in 5, -4, 0, -1/2? 5 Let y = -6 + -28.1. Let f = y - -34. Which is the closest to f? (a) -1 (b) 4 (c) -3/2 a Let r = -7.87 + 8.17. Let o = 754 + -759.01. Let p = -0.01 - o. Which is the closest to r? (a) p (b) 1/5 (c) 1/2 b Let l be 3/9 - (-4)/(-72). Let v = 2/9 + l. Let c = 27 - 28. What is the closest to c in -2, v, -2/7? -2/7 Let k(y) = 2*y**2 + 55*y + 78. Let g be k(-26). What is the closest to g in -1, 37, 0.2? 0.2 Let h = -291.5 - -291. Which is the nearest to -0.3? (a) h (b) -3/7 (c) -5 b Let s = 18717/19 + -985. What is the nearest to 1/4 in 0, -8, s? s Let d = -1.01 + 1.21. Let k = -458/5 - -91. Let l be ((-1)/(-3))/((-4)/3). What is the nearest to d in k, -0.4, l? l Let m(h) = h**3 - 10*h**2. Let i be m(10). Let p = 14 - 13.9. What is the nearest to 1 in p, 0.3, i? 0.3 Let n = -0.4019 - -0.4019. Let h be (3/27)/(1/2). Which is the closest to n? (a) h (b) 0.1 (c) -1/3 b Let s = -1990.27 + 1977. Let d = 0.27 + s. Let k = d - -11. What is the closest to 1 in 0.4, -0.5, k? 0.4 Let t = -1080/5819 + 2/529. Let s = -13.6 + 9.6. What is the closest to 1 in t, s, -0.4? t Let r = 133 - 161.1. Let x = 28 + r. What is the closest to x in 1, -0.1, -3? -0.1 Let y = -89/3 - -30. Let u(g) = -g + 3. Let h be u(0). Suppose 4*r = 19 - h. Which is the nearest to y? (a) 1/3 (b) 3 (c) r a Let r = 1741 + -1737. Let f = -1.1 + 1. Which is the closest to -4? (a) f (b) 7 (c) r a Let y = -508.96 + 485. Let j = y + 24. What is the nearest to j in 5/3, -3, 0.4? 0.4 Let t = -22 - -25. Suppose 2*c - 3*c - 3 = 0. What is the closest to 2 in 4, c, t? t Let m be -5 + 9 + 344/(-84). Which is the closest to 2/7? (a) -0.2 (b) m (c) -3/8 b Let o(f) = f**3 + 5*f**2. Let q be o(-5). Suppose 6*v - 2*v - 4 = q. What is the closest to v in 0.2, 5/6, -4? 5/6 Let q = 0.6 - 0.1. Let m = 2697 - 2695. Which is the closest to 2? (a) -0.2 (b) m (c) q b Let r = -238.3 + 238. Let q(z) = -z**3 - 7*z**2 - z - 7. Let a be q(-7). Suppose -k = -2 - a. What is the nearest to r in 1, -3/5, k? -3/5 Let s be ((-9)/(-2))/3 + -1. Let y = 2 + -75. Let o = y - -221/3. Which is the nearest to s? (a) 5 (b) 13/4 (c) o c Suppose 3 = 5*s - 17. Suppose -4*q - 4*w = -20, 0 = 6*w - s*w - 6. Which is the nearest to 0? (a) q (b) -1/5 (c) 1 b Let j(m) = -2*m**2 + m + 4. Let v be j(-4). Suppose -4*b + 1 = -3*b. Let l be v/(-12) - (1 + b). What is the nearest to l in 2/5, 0.5, 2? 0.5 Let w be 8/(-28) + 0/(2 + 0). Let m = -47 - -47.2. Which is the closest to w? (a) -0.02 (b) 3 (c) m a Let s = -3556.993 + 3560. Let w = s - 0.007. What is the nearest to w in 3, 2, 1/4? 3 Suppose -l + 118 = 123. Suppose 0 = -4*s - k - 27, -2*s - 35 = 3*s + k. Let p = l - s. Which is the closest to 2/3? (a) 0 (b) 1/6 (c) p b Let j = 1.1 + -2.1. Let c = -2.2 + 2.1. What is the nearest to c in j, 4, 0? 0 Let f = 17 + -16.958. Let d = f + -1.342. Which is the closest to 0.1? (a) -2/5 (b) -1 (c) d a Let j be ((-30)/165)/(16/(-44)*1). Which is the nearest to -2/9? (a) -0.2 (b) 2 (c) -6/7 (d) j a Let i = 360 + -358. Let p = 0.4 - -1.6. Which is the nearest to p? (a) -0.1 (b) 4 (c) i c Let p = 1372 + -1368. Which is the nearest to -9? (a) 0 (b) p (c) -5 c Let r = 0.054 + -0.027. Let x = r + 0.173. What is the closest to 0.1 in x, 1, 2? x Let y = 8 - 5. Let t = 3 - y. Let a = -965.5 + 965. What is the nearest to t in a, 3/4, 0.4? 0.4 Let m = -4.97 + 5.2. Let q = 0.53 - m. Let f be (-2)/(-5)*(-2)/(-4). Which is the nearest to 2? (a) q (b) -0.3 (c) f a Suppose 0*w - 80 = -2*w. Let a be 1/(-8) + 15/w. What is the closest to a in 1/4, 1, -1? 1/4 Suppose -2 - 2 = -x, -4*z = 3*x - 28. Let y = 193 + -193.2. What is the nearest to -2 in z, 1, y? y Let o = -8 - -3. What is the nearest to 0.1 in o, -3, 0? 0 Let p(l) = l**3 + 7*l**2 + 26*l + 127. Let f be p(-8). Which is the nearest to 0? (a) f (b) 5 (c) 3 c Let l be (2/8)/((-3)/(-36)). Suppose m + 4*y + 12 = -l*m, 5*m - y = 3. Let x = -8 + 55/7. Which is the closest to m? (a) 2 (b) x (c) -0.2 b Let j = -0.2 - -1.2. Let b = j + -1. Let o = 4560 - 4559.8. What is the closest to o in b, -2/3, 5? b Let p = 5.7 + -6. Let n = 1.53 - 10.23. Let i = -14.7 - n. What is the closest to 2 in -0.1, p, i? -0.1 Let j = -7 - -6.7. Let r(k) = -3*k - 17. Let i be r(-7). Suppose 4*d - 17 = -5*x, -5*d = -3*x - 16 + i. Which is the nearest to 0? (a) 0.5 (b) j (c) x b Let c(k) = -2*k - 56. Let s be c(-30). What is the nearest to -1/3 in 2, s, 0.9, 2/11? 2/11 Let w be (1/(-6))/(45/(-30)). Let f = -307 + 309. What is the nearest to 0 in 0.5, w, f? w Let i = -6.77 + 7.07. What is the closest to 1/3 in 2/5, i, -57, -3/2? i Let h = -0.08 - -0.38. Let y = 0.45 - 0.05. Let s = -61 - -59. What is the nearest to 0 in y, s, h? h Let w = -1.47 - -1.4. Let z = -849.93 - -846. Let m = w + z. What is the nearest to 0.1 in m, 3, -5? 3 Let g be (-1 - -1) + (-2)/1. Let a = 33 - 35. Let k be a*4/(-28) + 0. What is the nearest to k in 0.1, g, 3/2? 0.1 Let w be -2 + (-46)/(-16) - (-15)/(-30). What is the nearest to -0.12 in -0.1, w, 3? -0.1 Let i be ((1 - 0) + 1/3)*3. Suppose -3*b = -p - 6, 2*p - b + i = b. Let v = -1 + 1. What is the closest to p in v, 0.3, 1? v Suppose -17 = -5*y + 3. Suppose -o = o + y. Let s(z) = 5*z - 10. Let r be s(3). Which is the nearest to 0.02? (a) r (b) o (c) 0.1 c Let i be 20/(-12) - (-2)/3. Let u = -7.2 + 7. Let p = -0.1 + u. Which is the closest to i? (a) 3 (b) p (c) 1 b Let m = 0.6 + -0.1. Let l = 3.3 + -3.13. Let q = 0.03 + l. What is the nearest to 0.9 in m, q, 0? m Let h = -62/27 - -1108/459. What is the nearest to 0 in 1/5, h, 6? h Let t(k) = 4*k**3 + k**2 + 2*k + 1. Suppose -2*r + r - 1 = 0. Let q be t(r). What is the nearest to 0.2 in -1/7, 1, q? -1/7 Suppose 3*o = 3*y - 8 + 2, -5*y = -2*o + 8. Which is the closest to 1/8? (a) 3/4 (b) o (c) 2/5 c Let q be (-3 + 5)*1/8. Let j = -4905 - -44147/9. What is the nearest to q in 2, j, -7? j Let v = -17 + 17.1. Which is the closest to 0.1? (a) 0.4 (b) -18 (c) v c Let k = 20.7 + -25. Let l = -3.9 - k. Which is the nearest to 1/2? (a) -2/15 (b) 3/2 (c) l c Let v be 5704/(-1428) + 4/1. Let s = v - 12/119. Which is the nearest to -2? (a) 4 (b) s (c) 1/5 b Let z be 0 - 1 - -3 - 28/20. Let y = 772/7 - 110. Which is the closest to z? (a) -2 (b) y (c) -1/4 b Suppose 0 = 3*c + 4*l + 11, -l - 7 = -c + 3*l. Let k = -26 - -77/3. What is the closest to k in -0.2, 1/8, c? -0.2 Let s be 7/(-21)*(-9)/(-15). Which is the closest to 1? (a) s (b) -2 (c) -1 a Let a = 6 - 7. Let z = -2653 + 2656. What is the nearest to a in z, 0, -3? 0 Let k be (4/10)/((-7)/(-5)). Let m be (-5)/15*(-2265)/(-5). Let j = m + 1357/9. Which is the nearest to 0? (a) k (b) j (c) 0 c Let h = -1.07 + 0.07. What is the closest to -1/3 in 3, 1/4, h? 1/4 Let y = -5.22 - -3.22. What is the closest to 20 in 1, -2/5, y, 4? 4 Let h = 0.195 + -8.195. What is the nearest to 0 in h, -10, 3? 3 Let g = -1.13 - 3.87. What is the nearest to 1 in g, 1/3, -4, 3/8? 3/8 Let w
{ "pile_set_name": "DM Mathematics" }
mmon denominator of -52/95 and 6/43. 4085 Calculate the common denominator of -70/171 and -2/27. 513 What is the least common multiple of 177 and 30? 1770 What is the lowest common multiple of 96 and 282? 4512 What is the common denominator of 55/128 and 117/320? 640 What is the lowest common multiple of 589 and 4? 2356 Calculate the least common multiple of 18 and 243. 486 Find the common denominator of 43/22 and -55/26. 286 Calculate the smallest common multiple of 93 and 186. 186 What is the lowest common multiple of 22 and 110? 110 Find the common denominator of -51/14 and 9/3142. 21994 What is the smallest common multiple of 128 and 18? 1152 Calculate the least common multiple of 363 and 21. 2541 Calculate the least common multiple of 54 and 42. 378 What is the common denominator of -145/5832 and -41/20? 29160 Calculate the lowest common multiple of 20 and 66. 660 Calculate the lowest common multiple of 88 and 1664. 18304 Calculate the smallest common multiple of 1292 and 5814. 11628 What is the common denominator of 68/33 and -73/537? 5907 Find the common denominator of 26/189 and 67/1953. 5859 Find the common denominator of -74/5031 and 34/9. 5031 What is the common denominator of -29/4452 and -101/212? 4452 Calculate the common denominator of -137/18 and 101/174. 522 Find the common denominator of -17/552 and -115/156. 7176 Calculate the smallest common multiple of 8 and 8945. 71560 What is the common denominator of -95/8 and -81/22? 88 Calculate the lowest common multiple of 873 and 2910. 8730 What is the common denominator of -26/95 and 56/195? 3705 Calculate the common denominator of 31/8 and 18/721. 5768 Calculate the least common multiple of 132 and 297. 1188 Calculate the least common multiple of 47 and 6. 282 What is the common denominator of 75/16 and 23/90? 720 Find the common denominator of -23/418 and 61/10. 2090 What is the least common multiple of 242 and 2? 242 Find the common denominator of 9/19 and -5/53. 1007 What is the smallest common multiple of 2010 and 67? 2010 What is the lowest common multiple of 1670 and 30? 5010 Calculate the lowest common multiple of 21 and 417. 2919 Calculate the common denominator of 2/35 and 1/700. 700 What is the common denominator of -73/14 and 73/2? 14 Calculate the common denominator of 137/276 and -107/30. 1380 What is the common denominator of -7/3 and 86/21? 21 What is the smallest common multiple of 1044 and 174? 1044 Find the common denominator of -79/14 and 29/86. 602 Calculate the common denominator of 129/220 and 111/140. 1540 Find the common denominator of 99/1972 and 82/1479. 5916 Calculate the smallest common multiple of 3 and 546. 546 What is the common denominator of 34/45 and -65/249? 3735 Calculate the smallest common multiple of 1288 and 72. 11592 Calculate the common denominator of 67/34 and -23/102. 102 What is the smallest common multiple of 40 and 2? 40 Calculate the common denominator of -37/517 and -47/55. 2585 Calculate the common denominator of -73/68186 and 52/9. 613674 Calculate the least common multiple of 12 and 1. 12 Find the common denominator of 137/24 and -13/42. 168 What is the lowest common multiple of 30 and 408? 2040 Calculate the least common multiple of 150 and 520. 7800 Calculate the least common multiple of 11 and 187. 187 What is the common denominator of -73/242 and 115/198? 2178 What is the least common multiple of 31130 and 4? 62260 Calculate the common denominator of -11/14 and 67/36. 252 Find the common denominator of -109/12 and 34/9. 36 Calculate the least common multiple of 135 and 24. 1080 Calculate the lowest common multiple of 1554 and 777. 1554 What is the smallest common multiple of 8 and 12? 24 Calculate the lowest common multiple of 16 and 67. 1072 What is the common denominator of 105/38 and -65/38? 38 What is the common denominator of 131/140 and 127/1740? 12180 Calculate the smallest common multiple of 51 and 187. 561 Calculate the smallest common multiple of 948 and 148. 35076 Find the common denominator of -131/54 and -77/60. 540 Calculate the least common multiple of 390 and 390. 390 Calculate the lowest common multiple of 31 and 7. 217 What is the smallest common multiple of 3 and 21? 21 Calculate the lowest common multiple of 188 and 24. 1128 Find the common denominator of 49/1203 and -51/1604. 4812 Find the common denominator of -91/3828 and -49/8. 7656 What is the least common multiple of 20 and 210? 420 What is the common denominator of 37/312 and 35/88? 3432 What is the least common multiple of 81 and 5? 405 Find the common denominator of 27/2 and 19/45. 90 What is the smallest common multiple of 134 and 9? 1206 What is the common denominator of -125/6 and -109/894? 894 Calculate the common denominator of 13/63 and 8/15. 315 What is the common denominator of -80/693 and 73/15? 3465 Find the common denominator of 65/24 and 77/90. 360 Find the common denominator of -143/4760 and 67/102. 14280 What is the smallest common multiple of 5 and 339? 1695 What is the lowest common multiple of 132 and 12? 132 Find the common denominator of -12/905 and -49/5. 905 What is the least common multiple of 8 and 80? 80 Calculate the smallest common multiple of 85 and 5. 85 What is the common denominator of 91/80 and 7/64? 320 What is the common denominator of -38/65 and 173/30? 390 What is the common denominator of -61/60 and 33/20? 60 Calculate the lowest common multiple of 1064 and 988. 13832 Calculate the common denominator of -17/7182 and 35/4. 14364 Calculate the common denominator of 97/108 and -92/675. 2700 What is the common denominator of -115/36 and -97/1116? 1116 Calculate the smallest common multiple of 72 and 8. 72 What is the common denominator of -103/210 and 107/525? 1050 What is the least common multiple of 96 and 7? 672 What is the smallest common multiple of 24 and 336? 336 Calculate the lowest common multiple of 64 and 1952. 3904 Calculate the common denominator of -187/30 and -13/150. 150 What is the smallest common multiple of 264 and 9? 792 What is the smallest common multiple of 6 and 168? 168 Find the common denominator of -27/2 and -77/12. 12 Find the common denominator of 43/552 and 95/42. 3864 What is the least common multiple of 1687 and 2169? 15183 Find the common denominator of -41/3751 and -16/2387. 26257 What is the least common multiple of 1347 and 12? 5388 What is the least common multiple of 360 and 180? 360 Find the common denominator of 31/16 and 31/1684. 6736 Find the common denominator of -47/195 and -99/26. 390 What is the common denominator of -31/5220 and -61/2900? 26100 What is the least common multiple of 2124 and 1888? 16992 Calculate the common denominator of -65/36 and -13/10016. 90144 Calculate the common denominator of 89/13845 and 17/8307. 41535 What is the smallest common multiple of 240 and 1220? 14640 Find the common denominator of 139/528 and -9/40. 2640 Find the common denominator of 97/300 and -5/24. 600 Calculate the smallest common multiple of 70 and 4. 140 What is the lowest common multiple of 51 and 66? 1122 Calculate the lowest common multiple of 5 and 230. 230 What is the least common multiple of 1098 and 20? 10980 Calculate the common denominator of -103/24 and 43/16. 48 What is the lowest common multiple of 14 and 38? 266 Calculate the lowest common multiple of 18 and 90. 90 What is the lowest common multiple of 20 and 770? 1540 Find the common denominator of 4/351 and -74/195. 1755 What is the least common multiple of 10 and 131? 1310 Find the common denominator of 83/230 and -113/2208. 11040 Calculate the lowest common multiple of 2754 and 1224. 11016 Find the common denominator of -115/8172 and 19/28. 57204 Calculate the common denominator of 127/2916 and 139/36. 2916 What is the least common multiple of 176 and 144? 1584 Calculate the lowest common multiple of 1 and 21. 21 Calculate the common denominator of -19/4644 and -163/7740. 23220 Calculate the common denominator of 157/30 and -46/477. 4770 Find the common denominator of 43/20 and -35/8. 40 Calculate the common denominator of -155/156 and 85/1128. 14664 What is the common denominator of -99/3496 and 18/3059? 24472 What is the smallest common multiple of 45 and 7? 315 What is the least common multiple of 5 an
{ "pile_set_name": "DM Mathematics" }
0 (b) y (c) 3 a Let s = 0.23 + -0.33. What is the nearest to 1 in s, 4, -3? s Let h = 16 + -16. Which is the closest to h? (a) 2/3 (b) -5 (c) -3 a Let m = -0.48 + -3.52. What is the nearest to 0 in -5, -2, m? -2 Let u(v) = v**2 + 7*v. Let m be u(-7). Which is the nearest to m? (a) -0.5 (b) -1/4 (c) -0.2 c Let j be 3/(-108) - (-2)/8. Let y be 12/21 + 3 + -3. Let o = -5 + 6. Which is the closest to o? (a) y (b) -3/4 (c) j a Let k be (-1)/(-2) - (-18)/(-28). Let x = 0.05 + 0.05. Let m = 0.3 - x. Which is the closest to 1/4? (a) 0.1 (b) k (c) m c Suppose 2*w + 1 = 5. Suppose 2*u + 7 = 7*u - w*n, 0 = u - n + 1. Let j(a) = a**2 - 5*a + 4. Let h be j(3). What is the closest to -1/3 in u, h, 4? h Let o = 16 + -13. What is the closest to -1 in -0.5, o, 1? -0.5 Let r(x) = x - 6. Let o be r(10). Suppose -3*i = -o*f, f = -5*i + 4*f. Let d = 114 + -800/7. Which is the closest to -0.1? (a) 5 (b) d (c) i c Let i be ((-10)/20)/(3 - 2). Which is the nearest to 0.32? (a) 0.1 (b) 4 (c) i a Let h = 49 + -51. Which is the nearest to -2? (a) h (b) 2/9 (c) -3 a Let y = 0.8 - 0.6. What is the nearest to y in -0.3, -2/3, -2? -0.3 Let v = 5 - 5. Let n be -1*v/(3/(-3)). Suppose -3*k = 6*o - o + 9, -4*k - 12 = -4*o. Which is the closest to o? (a) n (b) -5 (c) -3/2 a Let g = 547/5 - 109. Which is the nearest to -1/2? (a) 1/2 (b) g (c) -4 b Let b = 6.18 + -11.27. Let x = -0.09 - b. Suppose -2*s + 1 - 8 = -3*p, -11 = 2*s + p. What is the nearest to -0.1 in 1/5, x, s? 1/5 Let l = -1 - -3/2. Let k = 25/57 - 2/19. Which is the nearest to -0.3? (a) 0.1 (b) l (c) k a Let m(h) = h**2 - 5*h + 6. Let t be m(2). What is the nearest to t in -8, 0.5, 5/2? 0.5 Let p = 19/4 + -55/12. Which is the nearest to -0.1? (a) 4 (b) p (c) 2 b Let l = 6 - 7.4. Let d = l + 1.3. Which is the closest to d? (a) -2 (b) -0.3 (c) 1 b Let p = -3 - -2.7. What is the nearest to 1 in 3/4, -4, p? 3/4 Let w be (-51)/99 - 4/(-12). Let v = -1 - 1. Which is the closest to -2? (a) v (b) 2/7 (c) w a Let u = -25 + 20. Let t = 0.37 - 0.07. Let a = t - 0.2. What is the nearest to a in u, 2/7, -4/7? 2/7 Let k = 8.2 + -8. Let i = -0.49 + 0.19. What is the nearest to -1 in 4, i, k? i Let z = 3/86 - 49/172. Let r = 3 + -1. Let w(s) = 4*s + 1. Let g be w(1). Which is the nearest to 0? (a) z (b) r (c) g a Let z be 1/(1/(-2))*(-14)/56. Let p = 2.1 - 2. Let d = -2.1 + p. Which is the nearest to -1? (a) 0.3 (b) z (c) d c Let t = -35 + 32. What is the nearest to -7 in t, 0.5, 2/3? t Let u = -55 + 54. Suppose -3*m - 2*m = 0. What is the nearest to -2/3 in -3, u, m? u Let q = 70 + -62.4. Let l = q + -4.2. Let w = l - 3. Which is the closest to 1? (a) -0.1 (b) -2 (c) w c Let m = -7/12 + 5/6. Which is the closest to -2/3? (a) m (b) 3/5 (c) 0.02 c Let g = -2 + 1. Let z be 2*(0 - g/7). What is the nearest to -2/3 in 4, 0, z? 0 Let t = 0.5 + -0.9. Let k(r) = -2*r**2 + 3*r - 3. Let q be k(2). What is the closest to 1 in -3/5, q, t? t Let r = -3.945 - 0.055. What is the closest to -0.2 in -2, r, 0? 0 Let w = 1.09 - 0.59. What is the closest to 0.1 in 10, 2/5, w? 2/5 Let a = -0.47 + 0.37. Let q(t) = t**2 - 3*t + 4. Let m be q(3). Let g be (2/m)/(28/(-24)). What is the nearest to a in -1/2, g, 0.4? g Let d = 14.7 - 14.61. Which is the closest to 1/3? (a) 5/4 (b) -0.1 (c) d c Let h = -6 + 14. Let p = 8.3 - h. What is the closest to 2/5 in p, -0.3, 2? p Let w = -0.8 + -0.2. Suppose 0*i - 4*i = -4*k + 32, 5 = -i. Let y = -7 + k. What is the nearest to -2 in w, y, -0.3? w Let j = -126 - -126.1. Which is the nearest to -2/5? (a) -34 (b) 0 (c) j b Suppose 3*p = 5*m + 9, -7 = 3*m - 0*p - p. Let c = 43 + -43.5. What is the nearest to 0.1 in m, c, 5? c Let o be (-20)/14 + 5 + -4. Which is the closest to 5? (a) o (b) 2/15 (c) 3 c Let w = 3 - 3.2. Let y = 0.2 + w. Let h = -192 + 194. Which is the closest to y? (a) h (b) 5 (c) 4 a Suppose -4*z = l + 180, z - 5 + 1 = 0. Let r = -3722/19 - l. What is the nearest to 0 in -3, r, 1/5? r Let s be (-12)/(-8) + 746/(-20). Let n = -539/15 - s. Which is the closest to n? (a) 2/7 (b) -0.4 (c) -2 b Let l = 0.045 + 4.955. Which is the closest to -1? (a) -4/9 (b) l (c) -0.035 a Suppose 0 = 2*v - 2*x + 2, 0*x - 3*x + 3 = -4*v. Let z = -43 + 44. Which is the nearest to v? (a) 5 (b) z (c) -2/3 c Let i be ((-1)/6)/(1/(-2)). Let b = -1 + 4. Suppose -b*a = -0*a - 15. What is the nearest to i in a, 0, 1? 0 Let b = -1 + 0. Let x = -44/295 - 3/59. What is the closest to -2/5 in b, x, 0.5? x Let r = -135.8 + 136. What is the nearest to -10 in 1, 0.5, r? r Let i = -4/11 - 10/33. Let l(o) = o**3 + 3*o**2 - 6*o - 4. Let s be l(-4). Let w = 6 + -6.4. What is the nearest to -0.1 in w, s, i? w Let y = 74 + -74.1. Which is the nearest to -2? (a) y (b) 4 (c) 0.5 a Suppose 0*q - 6 = -2*q + 3*i, 5*q + 6 = -3*i. Which is the closest to 0.02? (a) 0.1 (b) q (c) -3 b Let s be 1 - 0 - (-6)/(-4). Let d = 1.6 + -1.1. Which is the closest to s? (a) 0 (b) -0.3 (c) d b Let r = -8 - -11. Let u = -35/2 - -109/6. Which is the closest to u? (a) 1/3 (b) 4 (c) r a Let d be 0 + (10*1)/2. Let v be d/2 - 2/1. Let w = -31.8 - -32. What is the closest to 1 in v, w, -0.4? v Let t = -0.6 - -0.1. Let l = t + 0.3. Which is the closest to -0.1? (a) -0.5 (b) l (c) -2 b Let q = -25.9 + 26. Which is the closest to q? (a) 1 (b) -6 (c) 0.3 c Suppose -3*p = -13 - 2. Suppose p*q = -4*r + 1, r + 5 = 3*q + q. Let t be (-2)/(-5) - (-22)/(-80). Which is the nearest to 0? (a) t (b) -0.4 (c) r a Let t = 4.6 + -3.52. Let v = -0.08 + t. Suppose 5*w + 29 = 4. Which is the nearest to 1? (a) 0 (b) w (c) v c Let g = -5 + 10. What is the closest to -0.2 in 1, g, -1? -1 Let h = 2 + -2.2. Let s = -0.2 - h. Which is the closest to 1? (a) -2/13 (b) s (c) -5 b Let d be 1*(2 + -4) - 0. Which is the nearest to d? (a) 2/11 (b) 0.5 (c) -0.3 c Let l be 25/20*(-5 - -1). Which is the nearest to -0.1? (a) -3 (b) -2/11 (c) l b Let k = 13 + -13.7. Let t = 0.8 + 0.4. Let f = k + t. Which is the nearest to 2? (a) -4 (b) f (c) 5 b Suppose -i = 0, -5*i - 41 = -3*s + 19. Let y be 10/9*12/s. Which is the nearest to 0? (a) 0 (b) y (c) 5 a Let z = -0.3 - -0.6. Let l = 22.5 + -22. Which is the closest to -1/2? (a) -3 (b) l (c) z c Let h = -17 + 16. What is the closest to -7/2 in 4, h, 0? h Let r = 10 - 9.7. What is the nearest to 0 in r, -2/5, -6? r Let i(o) = -o + 6. Let t be i(10). Which is the closest to -2/7? (a) 3 (b) 1/7 (c) t b Let g be (-1)/2 - (-5)/(-10). Let n = -0.4 + 0.2. What is the nearest to 2 in g, 0.2, n? 0.2 Let j = 64 - 64.3. Suppose -3*w = 2*d + 2*w + 30, -2*w - 33 = 5*d. What is the closest to -1 in j, d, -0.1? j Let q(w) = -w**3 + w**2 + 2*w + 1. Let y be q(-1). Which is the nearest to 1? (a) y (b) -11 (c) -3/7 a Suppose 3*p = -f - 5, p + 4 = 2*f + 7. Let j = -13 - -27/2. What is the closest to p in j, 2, -2/7? -2/7 Let v = 1074 + -383416/357. Let k = v - 104/357. What is the nearest to k in 1/4, -4, 0? 0 Let k = 12 + -8. Let n = -181 + 180. Which is the nearest to -2? (a) n (b) k (c) 0 a Let z be (-1 - -2)*-1*1. Let d = 125 - 623/5. Which is the nearest to d? (a) z (b) -0.3 (c) -2/7 c Let f be (-4)/(-40)*100/(-8). Let g = -86/3 - -29. What is the closest to -0.5 in f, 0.1, g? 0.1 Let i = -7 + 2. Suppose -5 = -2*p - 1. Let f be 0/(2*p/4). What is the closest to f in 4, 3, i? 3 Let i = 24 - 169/7. Let k = 1 - 0.7. Let d = k + -5.3. Which is the closest to 0? (a) 3 (b) d (c) i c Let f be (-2)/(-2) + (-170)/146. Let p = -254/657 - f. Let u = 0 - -4. Which is the closest to 2/3? (a) p (b) 1 (c) u b Let s = -0.7 + 8.7. Let q = -4.5 + s. Let n = -4 + q. What is the nearest to -1 in -1, n, -4? -1 Let d = -0.07 + -1.93. Let w = 4 + d. Let n = 1/28 - -1/4. What is the nearest to w in -5, -2, n? n Let i = -15.1 - -15. Let k = 0.42 + -0.02. Which is the nearest to -1? (a) k (b) 1 (c) i c Let q = -0.53 - -3.43. Let g = q - 3. Suppose -3 = -3*j - 15. What is the nearest to -1/2 in g, 0.1, j? g Let q be 30/(-11)*5/(-3). Let v = -283/55 + q. Let h be (8/(-34))/(34/(-17)). Which is the closest to -1? (a) h (b) -3/4 (c) v b Let u = -1.04 + 0.04. Let s = 1.05 + u. Let r = s + -0.15. Which is the nearest to -1? (a) -0.3 (b) r (c) 5 a Suppose -o = -0*o +
{ "pile_set_name": "DM Mathematics" }
sqrt(19) + 1439 Simplify ((sqrt(27) - -6*sqrt(27))/sqrt(9)*3)**2. 1323 Simplify (-3 + -2*sqrt(275)*-1 + -4)**2. -140*sqrt(11) + 1149 Simplify -2 + (sqrt(3) + sqrt(3) + 4*sqrt(3) + 0 + -5)**2. -60*sqrt(3) + 131 Simplify ((2 + sqrt(275) - sqrt(275)) + sqrt(275) + -3)**2. -10*sqrt(11) + 276 Simplify (3*sqrt(117)*-1)/(sqrt(225) - (sqrt(225) + (sqrt(225)*-2 + sqrt(225) - sqrt(225)) - sqrt(225)) - sqrt(225)). -3*sqrt(13)/10 Simplify (sqrt(2187) - (sqrt(2187) - (sqrt(2187) + 1 + -1) - sqrt(2187)))**2. 8748 Simplify -3*sqrt(25)/(sqrt(20)/sqrt(36)). -9*sqrt(5) Simplify (1 + sqrt(91)/sqrt(7) + 0)**2. 2*sqrt(13) + 14 Simplify (sqrt(17) - (sqrt(17) - (5 + sqrt(17)*-4)))**2 + sqrt(17) + -3. -39*sqrt(17) + 294 Simplify (1 + sqrt(343) + -5)**2. -56*sqrt(7) + 359 Simplify 2 + sqrt(28) + 3. 5 + 2*sqrt(7) Simplify (sqrt(704) - (sqrt(704) - (sqrt(704) + 0 + 0)))**2. 704 Simplify sqrt(112)*-4 - sqrt(7)*2*6. -28*sqrt(7) Simplify (sqrt(154)/(sqrt(33)/sqrt(3)))/(-1*sqrt(8)/sqrt(4)). -sqrt(7) Simplify 2 + sqrt(20) + 3. 2*sqrt(5) + 5 Simplify (sqrt(180)/(sqrt(12)/sqrt(4)))/((sqrt(36) + sqrt(324))/sqrt(3)). sqrt(5)/4 Simplify 4 + (1 + sqrt(833) + 0)*-2. -14*sqrt(17) + 2 Simplify (sqrt(330)/(-2*sqrt(10)))/((sqrt(108)/sqrt(3))/sqrt(12)). -sqrt(11)/2 Simplify (1*1*sqrt(200))**2*-6 + -1. -1201 Simplify 3 + (((sqrt(192) - -1*sqrt(192)) + sqrt(192))/sqrt(12))/(sqrt(32)/sqrt(4)*3). sqrt(2) + 3 Simplify sqrt(1100) + -2 + 0. -2 + 10*sqrt(11) Simplify (-4 + sqrt(80) + 0)**2. -32*sqrt(5) + 96 Simplify 6*(sqrt(1331)*-2)**2. 31944 Simplify (sqrt(19)*1*5 - -4*(1 + sqrt(19)))**2. 72*sqrt(19) + 1555 Simplify (-3 + sqrt(102)/sqrt(6) + sqrt(425) + -3)**2. -72*sqrt(17) + 648 Simplify 5 + 2*sqrt(11) + 5. 2*sqrt(11) + 10 Simplify (sqrt(11) - (sqrt(33)/(sqrt(48) + sqrt(3)))**2) + (sqrt(539) - sqrt(539)*2). -6*sqrt(11) - 11/25 Simplify 6*sqrt(21)/(sqrt(28)*2). 3*sqrt(3)/2 Simplify 5 + (sqrt(1584) - (-2 + sqrt(1584))) + -1. 6 Simplify ((sqrt(20) - (sqrt(20) + sqrt(20)*3))*2)/((sqrt(20)*2)/sqrt(5)). -3*sqrt(5) Simplify 4*(-1 + (sqrt(468) + -1)**2)*2. -96*sqrt(13) + 3744 Simplify sqrt(144)/sqrt(2) + sqrt(18) - sqrt(1458)*3. -72*sqrt(2) Simplify (-4*(sqrt(432)*-1 + -5))**2. 1920*sqrt(3) + 7312 Simplify 1*((sqrt(102)/(-1*sqrt(6)) - sqrt(17) - sqrt(17)) + -1*(sqrt(17) - sqrt(68)/sqrt(4))). -3*sqrt(17) Simplify (sqrt(500) + 1 + 1)**2*-4. -2016 - 160*sqrt(5) Simplify (-2*sqrt(288))**2 + 0. 1152 Simplify (sqrt(320) + (-2*(2*sqrt(320) + sqrt(320)) - sqrt(320)) + -2)**2. 192*sqrt(5) + 11524 Simplify (sqrt(6)*3*-1)/sqrt(2)*3. -9*sqrt(3) Simplify -1 + (-2*sqrt(125) + 5)**2. -100*sqrt(5) + 524 Simplify (sqrt(204)*2*-5)/(3*sqrt(48)). -5*sqrt(17)/3 Simplify sqrt(1425)/sqrt(3) + sqrt(114)/(sqrt(6) - sqrt(6)*-2). 16*sqrt(19)/3 Simplify ((sqrt(153) + 0 - sqrt(17))*-5)**2. 1700 Simplify (2 + sqrt(1331) + -1)**2. 22*sqrt(11) + 1332 Simplify (5*(sqrt(684) + 1 + 0)*-6)**2. 10800*sqrt(19) + 616500 Simplify (-2 + sqrt(5))**2*3 + -4 + sqrt(180). -6*sqrt(5) + 23 Simplify sqrt(175) + 1 - (4 + sqrt(7)*2). -3 + 3*sqrt(7) Simplify -1 + sqrt(228)/(-1*sqrt(1452)) + 3. -sqrt(19)/11 + 2 Simplify 5*(sqrt(11) + 0) + sqrt(176)*2. 13*sqrt(11) Simplify (3*sqrt(425) + -3)**2. -90*sqrt(17) + 3834 Simplify 6*((sqrt(304) + -5*2*sqrt(304))**2 + (5*(sqrt(304) + -1) - sqrt(304))**2). -960*sqrt(19) + 177078 Simplify 0 + 4 + sqrt(50). 4 + 5*sqrt(2) Simplify 1 + ((sqrt(847) + -1*sqrt(847) + sqrt(847))*-3 - -5*sqrt(847)*1)**2. 3389 Simplify (sqrt(3) - (1 + -2*sqrt(3)))**2*-4. -112 + 24*sqrt(3) Simplify -3*sqrt(1125). -45*sqrt(5) Simplify ((-4 + sqrt(76))*-3)**2. -144*sqrt(19) + 828 Simplify sqrt(275)*-1*4. -20*sqrt(11) Simplify sqrt(3)*2*-1 - (1*sqrt(36))/sqrt(12) - sqrt(9)/(sqrt(6)/sqrt(2))*-6. 3*sqrt(3) Simplify (sqrt(475) + 0 + -3 + 3 + sqrt(475)*1)**2. 1900 Simplify (3*(sqrt(17) + 1) + (sqrt(187)*-2)/sqrt(11))**2. 6*sqrt(17) + 26 Simplify 2 + (sqrt(112)*3 - sqrt(7)) + -1. 1 + 11*sqrt(7) Simplify (sqrt(2880)*1)/((sqrt(30) + sqrt(270))/sqrt(3)). 3*sqrt(2) Simplify sqrt(36)/(-3*(-2*sqrt(12) - sqrt(12)) + sqrt(12)) + (2 + (sqrt(3) - 1*sqrt(108)))**2. -199*sqrt(3)/10 + 79 Simplify 2 + (sqrt(891) + 0)**2 - sqrt(33)/(sqrt(192)*1). -sqrt(11)/8 + 893 Simplify (-3*sqrt(77)*3)/(-5*sqrt(252)). 3*sqrt(11)/10 Simplify ((sqrt(77) - -2*sqrt(77))*1)/(sqrt(1100) - (3*sqrt(1100) - sqrt(1100))). -3*sqrt(7)/10 Simplify 6*(sqrt(8) + 1 + sqrt(2)) + 3. 9 + 18*sqrt(2) Simplify (-2*sqrt(475))**2 - (sqrt(76)*-2 - sqrt(76)). 6*sqrt(19) + 1900 Simplify (sqrt(52) + 4 + sqrt(117)/sqrt(144))**2. 18*sqrt(13) + 1309/16 Simplify (sqrt(90)*-4)/(1*sqrt(2)*1). -12*sqrt(5) Simplify (sqrt(5) - 6*(sqrt(10)/sqrt(2) - sqrt(5)))**2 + -2 + (sqrt(5) + 2)**2. 4*sqrt(5) + 12 Simplify (sqrt(21)/sqrt(3))**2*6 - (sqrt(35)/sqrt(5) + sqrt(7) + 3). -2*sqrt(7) + 39 Simplify ((sqrt(35) + sqrt(385)/(sqrt(44)/sqrt(4)))/(sqrt(60)/(sqrt(48)/sqrt(4))))**2. 28 Simplify 1*(sqrt(1900) + -1 + -1). -2 + 10*sqrt(19) Simplify (1*sqrt(17) + 1)**2*6. 12*sqrt(17) + 108 Simplify (sqrt(7) - (sqrt(7) - (sqrt(7) - ((-2*sqrt(56))/sqrt(8))**2)))*-1. -sqrt(7) + 28 Simplify ((sqrt(792)*5 + sqrt(22))/sqrt(2))**2*-6. -63426 Simplify sqrt(63)/(sqrt(144)/sqrt(4)). sqrt(7)/2 Simplify 4*sqrt(147) + sqrt(12)/sqrt(4)*-1. 27*sqrt(3) Simplify ((-3 + sqrt(68) + 1 + sqrt(68) - sqrt(68)) + 1)**2. -4*sqrt(17) + 69 Simplify sqrt(1053) + -1 + 3*-2*sqrt(13). -1 + 3*sqrt(13) Simplify (-6*3*sqrt(2) + sqrt(162) + -3)**2. 54*sqrt(2) + 171 Simplify ((-5*sqrt(117)*-5)/sqrt(9)*1)**2. 8125 Simplify ((-4 + (sqrt(539) - 1*sqrt(539)) - sqrt(539)) + sqrt(33)/sqrt(3)*-2 + (sqrt(132) - (sqrt(132) + 1*sqrt(132)) - sqrt(132))/sqrt(12))**2. 88*sqrt(11) + 1347 Simplify (sqrt(117)*-2)**2 + sqrt(52)*4 + sqrt(52). 10*sqrt(13) + 468 Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) - -2*sqrt(84))*-2 - sqrt(84) - sqrt(84)))/(sqrt(12) - sqrt(24)/sqrt(8)). -8*sqrt(7) Simplify (-5*(sqrt(102) - 1*sqrt(102)))/(sqrt(42)/(sqrt(7)*1 + sqrt(7))). 0 Simplify -5 + -2 + (-4*sqrt(5)*-1)**2. 73 Simplify (6*(sqrt(4050) + sqrt(4050) + 1) - (sqrt(4050) + (sqrt(4050) - (-4 + 0 + sqrt(4050))) + sqrt(4050)))**2. 1800*sqrt(2) + 405004 Simplify (sqrt(19) + sqrt(19) + -1*(sqrt(76)/sqrt(4) + sqrt(19)))**2 + (sqrt(304))**2*5. 1520 Simplify sqrt(40)/(sqrt(968)*2). sqrt(5)/22 Simplify -1*((sqrt(3) + sqrt(3) + (sqrt(48)*4 + sqrt(3))**2 + sqrt(3) + sqrt(3) + sqrt(3) - sqrt(3)) + sqrt(3) - sqrt(3)). -867 - 4*sqrt(3) Simplify (1*(sqrt(34)*3 + sqrt(34)))/sqrt(2). 4*sqrt(17) Simplify (sqrt(5) - (sqrt(10)/sqrt(2) + 5 + sqrt(5))) + -1 + sqrt(720) + sqrt(720) + -4. -10 + 23*sqrt(5) Simplify (sqrt(396)*1)/(-6*sqrt(100)). -sqrt(11)/10 Simplify -1 + sqrt(80) - sqrt(5) - sqrt(45)/(-2*sqrt(9)). -1 + 7*sqrt(5)/2 Simplify 1 + (-4*sqrt(133)/sqrt(7) + sqrt(19))**2. 172 Simplify -5 + sqrt(19) + 0 + sqrt(19)*-3. -2*sqrt(19) - 5 Simplify (0 + -2*sqrt(200) + 5)**2. -200*sqrt(2) + 825 Simplify (sqrt(6)/sqrt(75) - sqrt(2))*1*-1. 4*sqrt(2)/5 Simplify 2*sqrt(17) + 3 + (sqrt(17) - (2 + sqrt(17) + 1)). 2*sqrt(17) Simplify (sqrt(90)/(-3*sqrt(9)) - sqrt(10))/(sqrt(6)/(sqrt(3) + sqrt(6)/sqrt(2))). -8*sqrt(5)/3 Simplify 4 + -2*sqrt(75)*-6. 4 + 60*sqrt(3) Simplify -1*2*sqrt(12)/sqrt(6). -2*sqrt(2) Simplify -2 + (sqrt(8)/sqrt(4) + -3 - (0 + sqrt(50))). -4*sqrt(2) - 5 Simplify (2*sqrt(684))**2 + sqrt(19) + -1 + -2. sqrt(19) + 2733 Simplify (sqrt(17) + (sqrt(68)*-1)/sqrt(4) + sqrt(1700) + -1 + sqrt(1700) + sqrt(1700))**2. -60*sqrt(17) + 15301 Simplify -3 + sqrt(171) + (2*sqrt(38))/sqrt(2). -3 + 5*sqrt(19) Simplify (1*sqrt(637))**2 - (sqrt(52)/sqrt(4) + 0). -sqrt(13) + 637 Simplify (sqrt(102) + sqrt(102) + -5*-1*sqrt(102))/(sqrt(6)*-2*-6 + sqrt(6)). 7*sqrt(17)/13 Simplify sqrt(605) + sqrt(605) + -3 + sqrt(605) + 5. 2 + 33*sqrt(5) Simplify ((sqrt(36) - (sqrt(5184) + -2*sqrt(5184)))/(sqrt(1728)*2))**2. 169/192 Simplify 3*sqrt(112) + -5. -5 + 12*sqrt(7) Simplify -4*2*sqrt(75) - sqrt(75) - -1*sqrt(75)*1. -40*sqrt(3) Simplify -6*sqrt(304)*-1. 24*sqrt(19) Simplify sqrt(7)*2*2 + -2*(-3 + sqrt(7)). 2*sqrt(7) + 6 Simplify 4*1*sqrt(7) + (sqrt(63)/sqrt(324))**2. 7/36 + 4*sqrt(7) Simplify (sqrt(7) - (sqrt(112)/sqrt(4))/sqrt(4))*1. 0 Simplify (sqrt(605) - (sqrt(605) - (sqrt(605) - (-6*(sqrt(605) - (sqrt(605) - (sqrt(605) - (1 + sqrt(605)) - sqrt(605)))))**2 - sqrt(605))) - sqrt(605))*2*6. -261792 - 9636*sqrt(5) Simplify 2*sqrt(85)/
{ "pile_set_name": "DM Mathematics" }
hat is the third derivative of -26*u**4 - 1075700*u**3 - 236546018*u**2 wrt u? -624*u - 6454200 What is the derivative of -8911*i*v**3 + 434*i - 2*v**3 + 11*v**2 + 18224*v - 3 wrt i? -8911*v**3 + 434 Differentiate o**2*u*w - 5*o**2*u + o**2*w + 1580*o**2 - 8*o*u*w - o*u + 4*u - 32216*w with respect to w. o**2*u + o**2 - 8*o*u - 32216 What is the first derivative of 727766*q*v - 68*q - 69965*v + 1643 wrt q? 727766*v - 68 Find the second derivative of 3*j**3*m**2*v**2 - j**3*m**2*v + 291*j**3*m*v - 19*j**2*m**2 + 22*j*m*v + 761653*m**2*v**3 - m*v wrt v. 6*j**3*m**2 + 4569918*m**2*v Find the second derivative of -236*t**2*w - 3655*t**2 - 2707*t*w - 5*t + w - 324 wrt t. -472*w - 7310 Differentiate -11*f**4 - 1617*f**3 - 223*f + 66473585 wrt f. -44*f**3 - 4851*f**2 - 223 Find the second derivative of 513706858*d**2 - 3689*d - 34010 wrt d. 1027413716 What is the second derivative of -83*r**3*v + 2*r**3 + 2*r**2*v + 60697*r**2 + 886*r*v + 9*r + v + 57 wrt r? -498*r*v + 12*r + 4*v + 121394 What is the second derivative of 1969965*w**4 + 2640909*w wrt w? 23639580*w**2 What is the first derivative of -276098433*j + 656975176 wrt j? -276098433 What is the third derivative of -29619262*h**6 + 2900*h**2 - 20*h - 70? -3554311440*h**3 What is the second derivative of -105*w**3 + 75447*w**2 + 5807*w - 33 wrt w? -630*w + 150894 What is the third derivative of -19721132*l*v**3 - 3*l*v**2 + 13319958*l wrt v? -118326792*l Differentiate -10*b**3*d**2 - b**3 + 7*b**2 + 29*b*d**2 + 22961*b + 15*d**2 with respect to d. -20*b**3*d + 58*b*d + 30*d Find the first derivative of 57595582*m*t + 48309*m - 307 wrt t. 57595582*m Find the third derivative of -1092*q**4 + 13250*q**3 - 50193262*q**2. -26208*q + 79500 Find the third derivative of -4647985*h**5 - 2495044*h**2. -278879100*h**2 Find the second derivative of a*l*s**2 + 4*a*l*s + a*l - 9*a*s**2 + 2*a*s + 6*a - 7*l*s**2 - l*s - 362*s**2 + 2*s - 133 wrt s. 2*a*l - 18*a - 14*l - 724 What is the first derivative of 86483989*b + 324027276 wrt b? 86483989 What is the third derivative of -548351276*r**3*t**2 - r**2*t**2 - 58*r**2*t + 160*r**2 + 3*t**2 + 320 wrt r? -3290107656*t**2 Find the first derivative of -18220221*b**4 + 3324875. -72880884*b**3 Find the second derivative of -21*l**2*s - 67521*l**2 + 1744*l + 930*s wrt l. -42*s - 135042 What is the second derivative of -745053517*c**4 - 122377*c + 1189 wrt c? -8940642204*c**2 Find the second derivative of -11*p**3 - 467778*p**2 + 76236761*p wrt p. -66*p - 935556 What is the third derivative of 686192444*o**5 - 2*o**3 - 17134346*o**2 - 3*o + 4? 41171546640*o**2 - 12 What is the third derivative of 91612*w**6 + 11*w**4 + w**2 - 19035991*w? 10993440*w**3 + 264*w Find the second derivative of 749617575*p**4 - 219*p + 506694 wrt p. 8995410900*p**2 What is the third derivative of 10*a**5*y - 883292*a**3*y + 204*a**2*y + 368213*a*y wrt a? 600*a**2*y - 5299752*y Find the second derivative of -1208*l*y**2 + 55*l*y + l - 26750*y**2 - 1716*y wrt y. -2416*l - 53500 What is the second derivative of 35*l**4 - l**3 + 5968*l**2 + 127*l - 6082? 420*l**2 - 6*l + 11936 What is the second derivative of -13022*o*v**3*w**2 - o*v**3 - 413*o*v*w**3 - o*v*w + 283*o*v - 109*v**3 + w + 3 wrt w? -26044*o*v**3 - 2478*o*v*w Differentiate -10*d*m**2 - 49549239*d*m*n - 2*d*m + 60*d + m**2*n**3 - 39*m**2 + 12*m - 2 wrt n. -49549239*d*m + 3*m**2*n**2 Find the second derivative of 9661*p**4 + 21*p**3 - 3*p - 341137. 115932*p**2 + 126*p What is the third derivative of -20928374*t**5 - 54040125*t**2? -1255702440*t**2 Differentiate 6414929*k**2*l*x + k**2*l - k**2*x - 2*k**2 - 7255*k*l - 2*k + 8*l*x with respect to x. 6414929*k**2*l - k**2 + 8*l What is the third derivative of -372222209*v**4 - 640*v**2 - 115415? -8933333016*v What is the third derivative of -84798*h**6 - 136*h**3 + 339522117*h**2? -10175760*h**3 - 816 Find the first derivative of -274806*b**3 + 28632488 wrt b. -824418*b**2 Find the first derivative of -160733918*c**4 + 28082145 wrt c. -642935672*c**3 What is the third derivative of 35*c**3*p*w**3 + 2*c**3*p*w - 564*c**2*p**2 - 2*c**2*w**2 - 2*c*p**2*w + 3*c*w**2 - 77158*p**2*w**5 + 192*p**2*w**2 wrt w? 210*c**3*p - 4629480*p**2*w**2 Find the second derivative of 4*k*n**3 + 2*k*n**2 + 905*k*n + 224652*n**3 - n**2 + 4988*n wrt n. 24*k*n + 4*k + 1347912*n - 2 Differentiate -114394600*c**3*l**4 + 777105987*c**3 with respect to l. -457578400*c**3*l**3 What is the first derivative of 263892308*r**3*y**3 - r**3*y - 2*y**3 - 51539*y**2 + 224*y wrt r? 791676924*r**2*y**3 - 3*r**2*y What is the second derivative of -6934286*k**3 - 11375764*k wrt k? -41605716*k What is the derivative of 39753591*a - 10177118? 39753591 What is the third derivative of -3*p**3*r**2 - 342940*p**3*r - p**3 + 86*p**2*r**2 - 10*p**2*r - 9*p**2 + 2*p*r**2 + 13*r**2 - r wrt p? -18*r**2 - 2057640*r - 6 What is the first derivative of h*k**3*r - 156*h*k**2 + 45*h*k - h*r + 12119253*k**3*r - k**3 wrt h? k**3*r - 156*k**2 + 45*k - r Find the third derivative of -82122804*x**3 + 53*x**2 - 143*x + 805 wrt x. -492736824 Find the third derivative of -303*p**3*x**2 - 59554*p**3 - p**2*x**2 + 29*p**2*x + 2*p**2 - 10069*p*x**2 + 4*p wrt p. -1818*x**2 - 357324 What is the derivative of -8*f*s**2 - 665311*f + 2979348*s**2 wrt f? -8*s**2 - 665311 Differentiate 6161624*z - 8203678 wrt z. 6161624 What is the second derivative of -119295960*b**2*c**2 + b**2 + 3*b - 982221*c**2 - 23 wrt b? -238591920*c**2 + 2 Find the second derivative of -4943719*b**4 - 96551*b - 82 wrt b. -59324628*b**2 Differentiate -276941749*w**3 + 61143875 wrt w. -830825247*w**2 Find the second derivative of 349*d*g**2*s - 3*d*g**2 - d*g + 4*d - 2*g**2*s + 37*g**2 - 2*g*s + 198344*g wrt g. 698*d*s - 6*d - 4*s + 74 Find the third derivative of 2*n*o**3 + 2*n*o**2 + 19511*n*o - 4*n + 54975877*o**3 + 10*o**2 - 2 wrt o. 12*n + 329855262 Find the third derivative of -167081048*b**3 - 29*b**2 + 346362*b + 4 wrt b. -1002486288 Find the second derivative of -o*p*t**2 - 2*o*p*t - 176*o*t**2 + 2681*o*t + 5*p*t**2 + 2*p + 118*t**2 - 69*t + 2 wrt t. -2*o*p - 352*o + 10*p + 236 What is the second derivative of 867964*n**3 + 55*n**2 - 817938257*n? 5207784*n + 110 What is the second derivative of -15*z**3 - 363003*z**2 + 21992272*z? -90*z - 726006 Find the first derivative of 2*q**4 + 4*q**3 - q**2 - 75734*q + 6585599. 8*q**3 + 12*q**2 - 2*q - 75734 Differentiate -11135121*t**3 - 130990947 with respect to t. -33405363*t**2 Find the third derivative of 8989908*n**3 + 394*n**2 + 3299. 53939448 Find the third derivative of -534560657*v**4 - 3006*v**2 - 2*v + 34103 wrt v. -12829455768*v Find the first derivative of -56358224*a**3*g*o**2 - a**3*o**2 - 23*a**3*o + 3*a**2*o**2 + 17*a*o**2 - 5*a wrt g. -56358224*a**3*o**2 Differentiate -i**3 - 11885*i**2 + 171*i + 24067660. -3*i**2 - 23770*i + 171 Differentiate -8099*f**2*l + 6057992*f**2 + 6*f*l - 6*l with respect to l. -8099*f**2 + 6*f - 6 Find the second derivative of -17252352*b*r**2 + 325960*b + 12*r wrt r. -34504704*b What is the second derivative of -6*p**4 - 82443*p**3 + 297*p**2 - 1267348*p + 54 wrt p? -72*p**2 - 494658*p + 594 Differentiate 426*t**2*x - 6*t**2 - 104*t*x + 2*t + 12086339*x with respect to t. 852*t*x - 12*t - 104*x + 2 What is the second derivative of 2*v**4 - 40891*v**3 - v**2 + 120*v + 4876? 24*v**2 - 245346*v - 2 What is the second derivative of 28651624*w**2 + 38718109*w? 57303248 What is the second derivative of 520971082*p**3*z + 454*p*z + 601*p + 90*z wrt p? 3125826492*p*z Find the second derivative of 5*l**5 + 2*l**4 + 731979*l**2 + 30661783*l wrt l. 100*l**3 + 24*l**2 + 1463958 Differentiate 63*i**4 - 275229*i**2*m + 3809121*m + 6 with respect to i. 252*i**3 - 550458*i*m Find the third derivative of -2*i**5 - 28970661*i**3 - 138091374*i**2. -120*i**2 - 173823966 What is the derivative of 107732761*x**4 + 230788785 wrt x? 430931044*x**3 Find the first derivative of 445564567*n - 1054090926. 445564567 What is the second derivative of 81103283*r**2*t**2 + 2*r*t**2 + r - 38968789*t**2 wrt r? 162206566*t**2 What is the second derivative of 45*i*n**3 + 101193*i*n**2 + 1792*i*n + 111*i + 1 wrt n? 270*i*n + 202386*i Find the third derivative of 559*n**3*r**3 - 163372*n**3*r**2 - n**2 + 105034*n*r**3 - 72*n wrt n.
{ "pile_set_name": "DM Mathematics" }
rob of sequence sszd when four letters picked without replacement from {s: 3, z: 2, k: 1, h: 4, b: 1, d: 1}. 1/990 Two letters picked without replacement from sqqysskkkkekkyqy. What is prob of sequence yq? 3/80 What is prob of sequence jjl when three letters picked without replacement from xxxljxujug? 1/360 What is prob of sequence ccww when four letters picked without replacement from wwwcwc? 1/15 Two letters picked without replacement from retpz. What is prob of sequence er? 1/20 Calculate prob of sequence gggg when four letters picked without replacement from {e: 7, g: 12}. 165/1292 Four letters picked without replacement from hshsyyhyyshh. What is prob of sequence yssy? 1/165 What is prob of sequence bbh when three letters picked without replacement from {b: 2, h: 6}? 1/28 Two letters picked without replacement from upuppebuuueubenzue. What is prob of sequence zb? 1/153 What is prob of sequence hnnn when four letters picked without replacement from nhnn? 1/4 What is prob of sequence ig when two letters picked without replacement from kfvkgik? 1/42 Two letters picked without replacement from jxxinvrj. Give prob of sequence rn. 1/56 Calculate prob of sequence ld when two letters picked without replacement from uldldluull. 1/9 What is prob of sequence ig when two letters picked without replacement from gukuimsm? 1/56 Three letters picked without replacement from {y: 3, l: 3, t: 1, a: 5, i: 1}. What is prob of sequence yya? 5/286 Three letters picked without replacement from ppvclpvppvpuvpupvc. What is prob of sequence ucc? 1/1224 Two letters picked without replacement from vfybj. Give prob of sequence jy. 1/20 Four letters picked without replacement from gggggcgccgcggggcggg. What is prob of sequence ccgg? 455/11628 What is prob of sequence rrw when three letters picked without replacement from ssswrwswwsrws? 5/858 Three letters picked without replacement from owpxf. What is prob of sequence xof? 1/60 Two letters picked without replacement from eidiidneiidi. Give prob of sequence di. 3/22 Two letters picked without replacement from mmmmmmmmmmccmmmmcm. Give prob of sequence mc. 5/34 What is prob of sequence vvvv when four letters picked without replacement from {v: 7}? 1 What is prob of sequence iyyh when four letters picked without replacement from iyyhhhhihhhhyhhhhyy? 5/969 Two letters picked without replacement from ldskdlulscd. Give prob of sequence ds. 3/55 Calculate prob of sequence qi when two letters picked without replacement from {y: 2, q: 1, r: 1, k: 1, i: 1, z: 1}. 1/42 Three letters picked without replacement from bbbbbb. What is prob of sequence bbb? 1 Calculate prob of sequence uuee when four letters picked without replacement from {e: 4, u: 14}. 91/3060 Calculate prob of sequence trt when three letters picked without replacement from fttrtrrtf. 1/14 What is prob of sequence rrqr when four letters picked without replacement from {r: 8, q: 5}? 14/143 Three letters picked without replacement from smdddddddddddusvuldm. Give prob of sequence uld. 1/285 Calculate prob of sequence ttpt when four letters picked without replacement from {t: 8, u: 1, r: 7, j: 2, p: 1}. 7/1938 Four letters picked without replacement from woyzobodzdob. Give prob of sequence woyz. 1/1485 Calculate prob of sequence mo when two letters picked without replacement from {j: 1, o: 1, m: 1}. 1/6 Calculate prob of sequence lv when two letters picked without replacement from qvvl. 1/6 Three letters picked without replacement from {p: 12, o: 7}. Give prob of sequence ppp. 220/969 Calculate prob of sequence ra when two letters picked without replacement from ygjargyggg. 1/90 Calculate prob of sequence hhnn when four letters picked without replacement from qeenqhhqvhhnqse. 1/1365 Four letters picked without replacement from wwicizccfccwqciccc. Give prob of sequence wzcc. 1/340 Three letters picked without replacement from {c: 1, l: 2, r: 3, k: 1}. Give prob of sequence rkr. 1/35 Calculate prob of sequence ejoy when four letters picked without replacement from ynjeoyy. 1/280 What is prob of sequence qd when two letters picked without replacement from qkuajdqdj? 1/18 Two letters picked without replacement from guummtutgurutrttmu. Give prob of sequence ur. 2/51 Three letters picked without replacement from qohqq. What is prob of sequence qho? 1/20 Three letters picked without replacement from {m: 15, l: 2, y: 3}. What is prob of sequence lmm? 7/114 What is prob of sequence ki when two letters picked without replacement from ikkuufuut? 1/36 Four letters picked without replacement from {d: 10, j: 4}. Give prob of sequence jdjd. 45/1001 What is prob of sequence hhee when four letters picked without replacement from heeeeheee? 1/36 Three letters picked without replacement from {o: 2, w: 1, h: 9, p: 4, s: 1}. Give prob of sequence ohs. 3/680 What is prob of sequence goef when four letters picked without replacement from eyfgo? 1/120 Two letters picked without replacement from oaaadagaaaaag. Give prob of sequence ao. 3/52 Three letters picked without replacement from {q: 1, k: 17, v: 1}. Give prob of sequence vkk. 8/171 What is prob of sequence so when two letters picked without replacement from sbubqbssuuobsusu? 1/48 Two letters picked without replacement from zuzkukkuk. Give prob of sequence uu. 1/12 Calculate prob of sequence cc when two letters picked without replacement from ttcrctcrtccr. 5/33 Calculate prob of sequence dv when two letters picked without replacement from {v: 7, d: 2, h: 1}. 7/45 Calculate prob of sequence azbb when four letters picked without replacement from {a: 1, b: 2, n: 4, z: 3}. 1/840 Three letters picked without replacement from {t: 2, p: 5, r: 2, z: 2, v: 2, x: 5}. What is prob of sequence vzz? 1/1224 What is prob of sequence aijz when four letters picked without replacement from qaiqzsqqjqqqsqj? 1/16380 Two letters picked without replacement from wvvvvwmmvzvvvvzvwvwv. Give prob of sequence vm. 6/95 Four letters picked without replacement from pxucpppppvvpxp. Give prob of sequence ppxx. 2/429 What is prob of sequence ooe when three letters picked without replacement from ooooooeoeooeeooeooo? 455/2907 What is prob of sequence sxsx when four letters picked without replacement from {l: 6, k: 1, w: 2, s: 2, t: 1, x: 3}? 1/2730 Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyy. 1 Three letters picked without replacement from {i: 8, m: 1, j: 2, b: 4, z: 2, w: 2}. What is prob of sequence bwb? 4/969 Two letters picked without replacement from qllaqa. What is prob of sequence ql? 2/15 Two letters picked without replacement from yyzyyz. Give prob of sequence zy. 4/15 Three letters picked without replacement from bnynywbwntrbrbnbrrb. What is prob of sequence byt? 2/969 Two letters picked without replacement from ppvppv. Give prob of sequence vv. 1/15 What is prob of sequence liiz when four letters picked without replacement from izilzmlmzlzzzmziiil? 35/5814 Two letters picked without replacement from vxrrrfrvs. Give prob of sequence rv. 1/9 What is prob of sequence cc when two letters picked without replacement from {c: 5}? 1 Three letters picked without replacement from vvqaxaxaaqvaaxaav. What is prob of sequence xxa? 1/85 Three letters picked without replacement from {v: 1, y: 1, k: 1, n: 2}. Give prob of sequence yvn. 1/30 What is prob of sequence bt when two letters picked without replacement from {b: 10, t: 10}? 5/19 Three letters picked without replacement from lnfnffnafbfnffln. Give prob of sequence aln. 1/336 Two letters picked without replacement from eebj. Give prob of sequence ej. 1/6 What is prob of sequence wsss when four letters picked without replacement from {w: 4, s: 3}? 1/35 Calculate prob of sequence ma when two letters picked without replacement from {m: 10, a: 2}. 5/33 Four letters picked without replacement from fbyybcyfbn. Give prob of sequence cfny. 1/840 Calculate prob of sequence ixbx when four letters picked without replacement from {b: 11, x: 1, p: 4, i: 2, u: 1}. 0 What is prob of sequence cwc when three letters picked without replacement from {c: 2, w: 2}? 1/6 Two letters picked without replacement from xzppxxxpxpp. Give prob of sequence zp. 1/22 Two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
comes next: -23778, -23528, -23276, -23022, -22766, -22508, -22248? -21986 What is next in -13913, -13966, -14031, -14114, -14221? -14358 What is next in 358359, 358341, 358313, 358269, 358203? 358109 What is next in -39757159, -39757161, -39757163, -39757165, -39757167, -39757169? -39757171 What comes next: 7422, 16890, 26360, 35832, 45306, 54782? 64260 What is the next term in -26250370, -26250369, -26250368, -26250367, -26250366, -26250365? -26250364 What is next in -13198, -23456, -33714, -43972? -54230 What is the next term in 661, 713, 841, 1039, 1301, 1621, 1993, 2411? 2869 What is next in -2219, -490, 1261, 3046, 4877, 6766? 8725 What is the next term in -807107, -807104, -807099, -807092? -807083 What is next in 174348, 174348, 174350, 174354, 174360? 174368 What comes next: -39566799, -79133603, -118700407, -158267211? -197834015 What is next in 3146104, 3146114, 3146130, 3146152, 3146180, 3146214, 3146254? 3146300 What is next in -8603, -20191, -31781, -43373, -54967, -66563? -78161 What is the next term in 23901720, 47803438, 71705156? 95606874 What is the next term in -471, -1180, -2109, -3264, -4651? -6276 What is next in 335155, 335150, 335145? 335140 What comes next: -39060, -78111, -117166, -156231, -195312, -234415, -273546? -312711 What comes next: -67857, -67856, -67853, -67848? -67841 What comes next: 468525, 468520, 468515? 468510 What is the next term in -5420, -5808, -6454, -7358? -8520 What is next in -16684, -34047, -51410, -68773, -86136, -103499? -120862 What comes next: 6072062, 12144136, 18216222, 24288326, 30360454, 36432612, 42504806? 48577042 What comes next: 652, 3369, 8146, 14983, 23880, 34837, 47854? 62931 What is next in -2670, -2681, -2724, -2817, -2978, -3225, -3576? -4049 What comes next: -20941196, -41882325, -62823452, -83764577, -104705700, -125646821? -146587940 What comes next: -429469, -858922, -1288375, -1717828? -2147281 What is the next term in -3899, -5077, -8161, -14069, -23719, -38029, -57917? -84301 What is the next term in -102950, -411777, -926484, -1647071, -2573538? -3705885 What is next in -66602, -528750, -1781996, -4221890, -8243982, -14243822, -22616960? -33758946 What is the next term in -212486, -212332, -212076, -211718, -211258, -210696, -210032? -209266 What is next in 1621, 6744, 15367, 27490, 43113, 62236, 84859? 110982 What is next in -323, -1005, -1837, -2819, -3951, -5233, -6665? -8247 What is next in 1482737, 2965493, 4448255, 5931017, 7413773, 8896517, 10379243? 11861945 What is next in 21003, 43542, 66081? 88620 What is next in 1556, 13066, 44322, 105200, 205576, 355326, 564326? 842452 What comes next: -130940, -132723, -134506, -136289, -138072? -139855 What is next in -289730, -289974, -290218, -290462? -290706 What comes next: -27516075, -55032151, -82548227, -110064303, -137580379, -165096455? -192612531 What is the next term in 19382, 20326, 21270, 22214, 23158? 24102 What is next in 7224, 19367, 36428, 58407, 85304, 117119, 153852? 195503 What comes next: 1569723, 1569517, 1569311, 1569105? 1568899 What is next in 1106320, 1106283, 1106246, 1106209, 1106172, 1106135? 1106098 What comes next: -3357, -6543, -9735, -12933, -16137, -19347, -22563? -25785 What is next in 1270096, 1270170, 1270244, 1270318, 1270392, 1270466? 1270540 What comes next: -5755, -23314, -52583, -93562? -146251 What is the next term in 19571, 156838, 529855, 1256636, 2455195, 4243546, 6739703, 10061680? 14327491 What comes next: -643515, -642833, -642151, -641469? -640787 What is next in -319117, -2552950, -8616209, -20423608, -39889861, -68929682, -109457785? -163388884 What comes next: -11966, -23856, -35660, -47378, -59010, -70556, -82016? -93390 What is next in -30361, -243673, -822663, -1950169, -3809029, -6582081, -10452163, -15602113? -22214769 What is the next term in 4171862, 4171891, 4171920, 4171949? 4171978 What is next in -110004, -219972, -329930, -439878, -549816, -659744, -769662? -879570 What is the next term in -7984, -16024, -24068, -32116? -40168 What comes next: -61031611, -61031603, -61031581, -61031539, -61031471, -61031371, -61031233? -61031051 What is next in 96615635, 193231258, 289846881, 386462504, 483078127, 579693750? 676309373 What is next in -2515342, -5030767, -7546192? -10061617 What is next in 34658517, 34658516, 34658515, 34658514, 34658513, 34658512? 34658511 What is the next term in 44384, 45102, 45820? 46538 What is the next term in -2778847, -2778670, -2778493, -2778316, -2778139? -2777962 What is the next term in 1180011, 2360025, 3540039? 4720053 What is the next term in -302586, -302685, -302784, -302883, -302982? -303081 What comes next: 11546330, 11546335, 11546344, 11546357, 11546374? 11546395 What comes next: -66161, -66178, -66227, -66326, -66493, -66746? -67103 What comes next: -2075, -1207, 2595, 9331, 19001? 31605 What comes next: 141199, 141180, 141157, 141130, 141099? 141064 What is next in -9161, -8826, -7617, -5096, -825, 5634? 14719 What is next in 822, -2304, -5430, -8556? -11682 What comes next: 12184, 99996, 338346, 802504, 1567740, 2709324, 4302526, 6422616? 9144864 What comes next: 118517, 237104, 355691? 474278 What is the next term in -8238032, -8238045, -8238060, -8238077? -8238096 What comes next: -1445390, -1445411, -1445448, -1445507, -1445594? -1445715 What comes next: -641123, -1282311, -1923497, -2564681? -3205863 What is next in -16086, -32049, -48012, -63975, -79938? -95901 What is the next term in 18637, 20072, 21507, 22942, 24377? 25812 What is next in -5141, -8370, -11599, -14828, -18057? -21286 What comes next: -14673041, -29346088, -44019135, -58692182? -73365229 What is next in -62954, -126067, -189326, -252731, -316282, -379979? -443822 What is the next term in -16567, -16634, -16805, -17134, -17675, -18482, -19609? -21110 What is the next term in -16390905, -32781833, -49172761, -65563689, -81954617? -98345545 What comes next: -3905, -15677, -27449, -39221, -50993? -62765 What comes next: -40063, -80204, -120345? -160486 What is next in -41540871, -83081747, -124622623, -166163499, -207704375, -249245251? -290786127 What is next in -1024, -2294, -3836, -5656, -7760, -10154? -12844 What is the next term in -2049, -8125, -18253, -32433, -50665, -72949? -99285 What comes next: -4602, -9207, -13856, -18573, -23382, -28307, -33372? -38601 What is the next term in -14068, -14439, -14814, -15193, -15576, -15963? -16354 What is the next term in -15455, -61956, -139505, -248102, -387747, -558440, -760181? -992970 What is the next term in 2072, 3847, 6800, 10931, 16240? 22727 What comes next: 64294, 128321, 192348, 256375, 320402? 384429 What is the next term in -91813, -367067, -825823, -1468081, -2293841, -3303103, -4495867? -5872133 What comes next: -186918, -373796, -560674, -747552, -934430, -1121308? -1308186 What is next in 11267, 16640, 22017, 27398, 32783, 38172, 43565? 48962 What is the next term in 26347976, 26347975, 26347974, 26347973, 26347972, 26347971? 26347970 What is next in 34969, 139875, 314729, 559537, 874305, 1259039, 1713745? 2238429 What is next in 71321, 73675, 76029, 78383? 80737 What is next in -1791, -3786, -5799, -7830, -9879? -11946 What comes next: 1083, 8707, 29435, 69825, 136435? 235823 What comes next: -47410276, -94820556, -142230838, -189641122? -237051408 What comes next: 2349500, 4698998, 7048508, 9398036, 11747588? 14097170 What is the next term in -1998359, -7993430, -17985215, -31973714, -49958927, -71940854? -97919495 What comes next: -66515, -110558, -154601, -198644? -242687 What is the next term in -3965, -6452, -8939, -11426, -13913? -16400 What comes next: -4232418, -8464864, -12697310, -16929756? -21162202 What is the next term in -727, -5376, -17887, -42184, -82191, -141832, -225031? -335712 What is next in -7118, -8823, -10516, -12197, -13866, -15523? -17168 What comes next: -606, -2484, -5630, -10038, -15702, -22616, -30774? -40170 What is the next term in 2891, 11540, 25935, 46076, 71963, 103596? 140975 What comes next: -53653482, -107306963, -160960456, -214613967, -268267502, -321921067? -375574668 What is next in 22900349, 22900348, 22900347, 22900346, 22900345? 22900344 What comes next: -85, 112, 805, 2270, 4783? 8620 What is the next term in 32404455, 64808864, 972
{ "pile_set_name": "DM Mathematics" }
derivative of -586*t**3*x**2 - 142*t**3 + t**2 - t*x**4 - 3*x wrt x. -1172*t**3 - 12*t*x**2 Find the third derivative of 5*a**2*c*q**3 - a**2*c*q - 2*a**2*q**4 - a*q**2 + 24*c*q**2 - q**4 + q**2 wrt q. 30*a**2*c - 48*a**2*q - 24*q Find the first derivative of -27*q**3 + 3*q - 785 wrt q. -81*q**2 + 3 Differentiate 2435*q + 14847 wrt q. 2435 What is the third derivative of 2125*d**3*w**2*z + d**2*z + d*w**2*z - 203*d*w*z wrt d? 12750*w**2*z Find the second derivative of -4172*j**2 - 3278*j + 1. -8344 What is the third derivative of 4585*h*o**3 - 139*h*o**2 - 4*h + o**3 wrt o? 27510*h + 6 Find the second derivative of 3*d**2*x + 36*d**2 - 9*d*x - 3*d + 2 wrt d. 6*x + 72 Find the second derivative of -22*z**4 + 4*z**3 + 400*z. -264*z**2 + 24*z What is the third derivative of -2*q**4 - 329*q**3 - 13*q**2 - 35 wrt q? -48*q - 1974 What is the third derivative of -180*g*j**3 - 12*g*j**2 - 5*j wrt j? -1080*g Find the first derivative of 179*s - 113. 179 What is the second derivative of 1112*c**2 - 3*c + 2908? 2224 What is the third derivative of 2552*m**6 + 4*m**2 - 200*m wrt m? 306240*m**3 Find the third derivative of n*t**6 + 2*n*t**4 - 30*n*t**2 - 160*t**3 - 8*t**2 wrt t. 120*n*t**3 + 48*n*t - 960 Find the third derivative of -3*a**3*t**3*v**2 - 210*a**3*v**3 - a**2*t**3 + a*t**3 - 18*a*t*v**3 + 2*t**2*v**3 wrt a. -18*t**3*v**2 - 1260*v**3 What is the derivative of d**2 + 442*d - 2619? 2*d + 442 Find the first derivative of 346*q**3 - 639. 1038*q**2 Find the second derivative of 603*k**4*v**2 - 2*k**3*v**3 - 5*k*v**3 + 61*k*v**2 wrt k. 7236*k**2*v**2 - 12*k*v**3 What is the third derivative of 40*c**5 + c**3*v**2 + 20*c**3 - c**2*v**2 + 2*c**2*v + 35*c*v**2 - 2*c wrt c? 2400*c**2 + 6*v**2 + 120 Find the third derivative of 34*k*o**3*y**3 + 2*k*o**3*y - 3*k*o**2*y**2 - 3*k*o*y**3 - 19*k*y**3 - 2*o**2*y wrt o. 204*k*y**3 + 12*k*y What is the second derivative of -1450*d**3*s**2 - 2*d**3*s - 102*d**2*s + 2*s wrt s? -2900*d**3 What is the second derivative of -11*p**3*x*y**2 + 3*p**3*x - 2*p**3 - p**2*y - 16*p*y - 2*x*y**2 + 2*y**3 wrt y? -22*p**3*x - 4*x + 12*y Find the first derivative of -2555*h**2 + 1122. -5110*h What is the second derivative of -f*j*z + 16*f*o**2*z + 30*f*o*z**2 - 9*j**2*o*z - 6*j**2*z**2 - 4*j*o**2*z**2 wrt z? 60*f*o - 12*j**2 - 8*j*o**2 What is the second derivative of 4*i**3 - 2*i**2 + 285*i wrt i? 24*i - 4 Differentiate 319*b**4 - 2*b**2 - 174 with respect to b. 1276*b**3 - 4*b What is the third derivative of 514*t**4 + 635*t**2? 12336*t What is the third derivative of 34*a**3*y + 3*a**2*y + 5*y wrt a? 204*y Find the third derivative of -842*f**4*v + 2146*f**2*v wrt f. -20208*f*v What is the derivative of 1687*m**3 - 1392 wrt m? 5061*m**2 Find the second derivative of -1911*n**2 - 2*n - 9453. -3822 What is the third derivative of -703*p**5 - 2*p**4 - 2535*p**2? -42180*p**2 - 48*p Find the second derivative of -9*g**2*n*o*x**3 - 70*g**2*o**2*x**3 + 3*g**2*x - g*o*x**3 - n*o**2*x**3 + 2*n*x**3 wrt o. -140*g**2*x**3 - 2*n*x**3 What is the third derivative of 5050*s**4 + 1154*s**2 wrt s? 121200*s Differentiate -36*f*h**3*s - 2*f*s + 2*f - 2*h**3*s + 5262*h**3 - s wrt s. -36*f*h**3 - 2*f - 2*h**3 - 1 Find the third derivative of -1277*g**6 + 3*g**4 + 189*g**2 + g - 2 wrt g. -153240*g**3 + 72*g Find the third derivative of -10150*j**6 - 18*j**2 - j + 3. -1218000*j**3 Differentiate 3*r*x**2 + 18*r*x - 3*r - 3*x**2 + 2*x - 1 with respect to x. 6*r*x + 18*r - 6*x + 2 What is the second derivative of 600*p**5 - 2*p**3 + 89*p + 2 wrt p? 12000*p**3 - 12*p What is the third derivative of -308*q**4 - q**3 - 43*q**2 + 9? -7392*q - 6 What is the third derivative of 3*n**5*w**3 + 4*n**3*w - 3*n**2*w + n*w**3 - 14*w**3 wrt n? 180*n**2*w**3 + 24*w What is the first derivative of -4*d**3 + 7*d**2 + 27*d + 5577 wrt d? -12*d**2 + 14*d + 27 What is the first derivative of -3*y**2 + 69*y + 124? -6*y + 69 Differentiate -636*j**2*r + 3597*j**2 wrt r. -636*j**2 Differentiate -2*j**4 - 678*j*p + 104*p + 6 wrt j. -8*j**3 - 678*p Differentiate -2*d**4*s - 3*d*s + 3*d + 88*s wrt d. -8*d**3*s - 3*s + 3 Find the first derivative of -11*b**3 - b**2*d**2 - 5*b*f + d**2 + 3*f wrt b. -33*b**2 - 2*b*d**2 - 5*f Find the third derivative of 3*p**6*w - 10*p**4*w**2 - 82*p**2 - 2*p*w**2 wrt p. 360*p**3*w - 240*p*w**2 Find the second derivative of -135*n**5*z - 13*n**3*z**3 + 1178*n*z**3 + n*z + 2 wrt n. -2700*n**3*z - 78*n*z**3 Find the third derivative of 7*c**4 + 188*c**3 + 480*c**2 + 4*c. 168*c + 1128 What is the derivative of 116*o**4 + 3*o + 267? 464*o**3 + 3 What is the first derivative of 2*a**4 + 11*a**2 + 29 wrt a? 8*a**3 + 22*a What is the third derivative of -3*s**6 + 35*s**3 + 14*s**2? -360*s**3 + 210 Find the first derivative of 972*d**3*l + 2321*d**3 wrt l. 972*d**3 Differentiate -158*m*q - 2*q - 14 with respect to m. -158*q Find the first derivative of r**2 + 828*r + 5980 wrt r. 2*r + 828 Find the third derivative of 453*q**6 - 2*q**4 - q**2 - 130*q. 54360*q**3 - 48*q What is the third derivative of -15765*d**6 + 3*d**2 + 203? -1891800*d**3 Find the third derivative of 388*o**5 + 4*o**2 + 44*o wrt o. 23280*o**2 Differentiate -22*h**4 + 4*h**2 + 117 with respect to h. -88*h**3 + 8*h What is the third derivative of 2*u**6 - 298*u**4 - 10*u**2 + 6 wrt u? 240*u**3 - 7152*u What is the third derivative of -3*j**4*n*w - 5*j**4*n - 2*j**4*w - 69*j**2*n - j*n*w - j*w wrt j? -72*j*n*w - 120*j*n - 48*j*w Differentiate -97*g**2*j**2 + 2*g**2*s + g*j**2*s**2 - 36*g*s**2 + 10*g*s + 4*j*s wrt j. -194*g**2*j + 2*g*j*s**2 + 4*s Differentiate -176*l**4 - 3*l**3 - 552 with respect to l. -704*l**3 - 9*l**2 What is the second derivative of 88*i**4*x**2 - 2*i**2*x**2 - 12*i + 2*x**2 - 23 wrt i? 1056*i**2*x**2 - 4*x**2 Find the second derivative of -5*g**3*n*o + 7*g**3*o**2 + 2*g*n*o**2 - g*o + 3*n*o - 8*o**2 wrt o. 14*g**3 + 4*g*n - 16 Find the second derivative of -2*x**5 + 1725*x**2 - 2*x + 568 wrt x. -40*x**3 + 3450 What is the third derivative of -1638*b*n**4 + b*n**2 + b*n - 89*n wrt n? -39312*b*n What is the third derivative of -231*g*t*w**3 - 140*g*t*w**2 - g*w**2 + 2*t*w wrt w? -1386*g*t What is the first derivative of 2*f*h**3 + 2*f*h**2 + 12*f*h*l + 150*h**3*l + 2*h**3 + 2 wrt l? 12*f*h + 150*h**3 What is the second derivative of 209*a*l**3 + a*l - 3*a + 521 wrt l? 1254*a*l What is the second derivative of -1475*o**2 + 2055*o + 1? -2950 What is the third derivative of -2350*f**5 + 235*f**2 + 4*f wrt f? -141000*f**2 What is the second derivative of -6*i**2*m**3*s**2 + 2*i**2*m**3*s - 5*i**2 + 7*i*m**3*s**2 - 2*i*m**2*s + 3*m**2*s**2 wrt i? -12*m**3*s**2 + 4*m**3*s - 10 What is the derivative of -143*n**3 + 2887? -429*n**2 What is the first derivative of -v**4 - 729*v**2 + 1500? -4*v**3 - 1458*v Find the first derivative of 3*g**2*s*x - 4182*g**2*s + 17*g**2*x - 4*g*x + s + 2*x wrt x. 3*g**2*s + 17*g**2 - 4*g + 2 What is the second derivative of 5068*r**3 + 911*r? 30408*r Find the third derivative of f**4*j**3 - 1529*f**3*j**3 - 4*f**2*j**3 - 2*f**2*j**2 + 2*f*j**2 + 134 wrt f. 24*f*j**3 - 9174*j**3 What is the third derivative of 373*s**6 + 536*s**2 - 2*s wrt s? 44760*s**3 Find the third derivative of g**4*h - 163*g**4*n**3 - 4*g**4*n + 4*g**2*h*n**3 - 2*g**2*n - g*h*n - 4*g*n**3 + 2*g*n wrt g. 24*g*h - 3912*g*n**3 - 96*g*n Find the first derivative of -489*d**2*p**3 + d*p**3 + 7*d*p + 31025*p**3 wrt d. -978*d*p**3 + p**3 + 7*p What is the third derivative of -9173*l**3 - 2132*l**2 wrt l? -55038 What is the first derivative of -143*s**2 + 8*s - 1765 wrt s? -286*s + 8 What is the derivative of -r**3*x**3 + 15*r**2*x - r*x**3 - 2*x**3 + 43 wrt r? -3*r**2*x**3 + 30*r*x - x**3 Find the second derivative of t**3*u**2 - 82*t**3 - 5*t*u**2 + 3*t*u + 3*t wrt t. 6*t*u**2 - 492*t What is the first derivative of -898*p**4 - 2*p**2 - 1002 wrt p? -3592*p**3 - 4*p Find the second derivative of 538*w**5 - 60*w + 5. 10760*w**3 Differentiate -499*i - 20 with respect to i. -499 Find the third derivative of -473*a**5 + 3*a**4 - 4910*a**2 wrt a. -28380*a**2 + 72*a What is the second derivative of -2789*y**2 + 1585*y wrt y? -5578 What is the second derivative of 466*s**2 - 617*s? 932 What is the first derivative of -1792*j**3*l**2 + 4*j**3 - 2*j**2*l**3 - 9 wrt l? -3584*j**3*l - 6*
{ "pile_set_name": "DM Mathematics" }
1 and g? 11 Let b(v) = -17*v - 33. Let f(l) = -48*l - 99. Let c(i) = 17*b(i) - 6*f(i). Let j be c(9). Calculate the highest common divisor of j and 372. 12 Let w(d) = -2*d**2 + 90*d - 391. Let j be w(5). What is the highest common factor of 1467 and j? 9 Let j = 81 + 259. Suppose 2*c + c - 6 = 0, -3*z = 5*c - j. What is the highest common factor of z and 55? 55 Let b(y) = 8*y + 140 - 9*y - y + 4*y - y**2. Let l be b(12). What is the highest common divisor of l and 1340? 20 Let d = -3070 + 4990. What is the greatest common divisor of 660 and d? 60 Let z = -4293 - -4349. Suppose -q + 96 = 26. What is the greatest common factor of z and q? 14 Let o = 14 + -1. Let z(f) = 2*f**2 + 25*f - 12. Let g be (585/(-10))/(-9)*-2. Let x be z(g). What is the highest common factor of o and x? 1 Suppose -2*b - 3*n = -3237, -27*b + n = -24*b - 4861. What is the highest common divisor of 20 and b? 20 Let b = 228 - 144. Suppose 63*c - 15*c = -26*c + 1776. What is the highest common divisor of b and c? 12 Let y(h) = -10*h - 9. Let n be y(-2). Suppose -c + 42 = 5*b, n*b - 7*b - 48 = 4*c. Let w be 0 + -1 + 2*23. What is the greatest common factor of b and w? 9 Let k(h) = h**2 + 7*h + 25. Let x be k(-4). Suppose 8*r - x = 7*r. Suppose -5*v + 87 = -r. Calculate the highest common factor of v and 8. 4 Suppose 4*y = -46 + 70. Let j(v) = -9*v + 9. Let k be j(5). Let r be (k/90)/(2/20) + 43. What is the highest common divisor of y and r? 3 Suppose 885 = -90*g - 388 - 257. Let k(w) = 23*w - 3. Let h be k(3). Let l = h + g. What is the highest common factor of 7 and l? 7 Suppose 7*g + 379 = 92. Let o = -49 - g. Let u(k) = -k**2 - 7*k + 32. Let c be u(o). Calculate the highest common factor of 6 and c. 6 Suppose 26*l - 53 - 233 = 0. Let b be 82/6*(l - -10). Calculate the greatest common divisor of b and 41. 41 Suppose -58*i - 102*i + 2560 = 0. Let a = 430 - 134. Calculate the highest common divisor of a and i. 8 Suppose 7*j - 10*j = t - 18, 0 = -2*t - 6. Suppose 9*h = j*h + 1666. What is the highest common divisor of 49 and h? 49 Let t be (-26 - -12)*(-39)/(-2). Let y be ((-10)/2)/(39/t). Calculate the greatest common factor of y and 245. 35 Let y be 2 + (-33)/17 + (-7620)/(-510). Let z be (84/(-35))/(1/(-5)). Calculate the greatest common divisor of y and z. 3 Suppose 4*i = 9*y - 3634, -62*i + 832 = 2*y - 58*i. Calculate the highest common divisor of 2 and y. 2 Let v be 2/(-2) + -1 + 86. Suppose -36*f - 4*a - 48 = -41*f, -2*f - 2*a = -30. What is the greatest common factor of v and f? 12 Let y(q) be the second derivative of -q**4/12 + 5*q**3/3 - 21*q**2/2 - 77*q. Let k be y(5). Let i = -42 - -74. Calculate the highest common divisor of i and k. 4 Let s(v) = 4*v**2 + 10. Let g be (0*(4/12 + 0))/(-2). Suppose 5*u + 1 + 24 = g. Let x be s(u). Calculate the greatest common divisor of 10 and x. 10 Let x = 7606 + -7390. Calculate the highest common divisor of 152 and x. 8 Suppose 54*d + 207 = 63*d. Let s be (-2)/(-8) + 206/8. Suppose -s = j - 95. What is the greatest common divisor of j and d? 23 Suppose 0*f = 2*f - 4. Let d be (4 + -5)/(3/(-240)). Suppose -4*x + 6*i = f*i - d, -5*x + 109 = 4*i. What is the highest common factor of x and 147? 21 Suppose 2*m + 3*m - 213 = -4*o, 3*m - 5*o = 150. What is the greatest common divisor of m and 2505? 15 Let r(d) = d**3 - 7*d**2 - d + 44. Let q be r(6). Suppose q*s - k = 810, -7*s + 2*s = 3*k - 2003. What is the greatest common divisor of s and 26? 13 Let d be (-9)/(-2)*-1*(905/(-15) + -1). Calculate the greatest common factor of d and 27876. 276 Let k = -22123 - -22181. What is the highest common divisor of k and 182? 2 Suppose -6*u + 152 = -172. Suppose 4*f - u = -k + f, f = k - 46. Suppose 84 = 5*d - 0*d + 2*o, 2*d = 4*o + k. What is the greatest common factor of d and 18? 18 Suppose 98*o = 226*o - 1822336. Calculate the greatest common factor of o and 23. 23 Let w = -3851 + 7049. Let z be w/14 - 21/49. Let s = -1714 + 1752. What is the highest common divisor of z and s? 38 Suppose 0*t = 2*t + 4. Let n = 19 - t. Let f(j) = j**3 - 3*j**2 + 7*j. Let o be f(3). Calculate the greatest common divisor of n and o. 21 Suppose 3*u = 2*i + 1548, 1625 = -4*i - 5*u - 1493. Let f = i + 1583. What is the highest common factor of 26 and f? 26 Suppose 25 = 8*v - 111. Suppose -28 = 5*z - 3, -3*z = -g + 66. What is the greatest common divisor of v and g? 17 Let y be (2 + 1 - -2) + 2/1. Let z be 2 + (y - 9) - -33*1. Suppose j - 81 + z = 0. Calculate the greatest common divisor of j and 120. 24 Let f = 427 + -299. Suppose 4*j + k = 172, -87 = -5*j - 5*k + f. What is the greatest common factor of j and 645? 43 Let u = 405 + -284. Suppose -4*g = -u + 5. Let k(p) = 4*p**2 + 8*p - 31. Let d be k(3). Calculate the greatest common factor of d and g. 29 Suppose 2*o + 3*c - 34 = 0, -2*o + 9 = -5*c - 9. Let p be (-24)/9*(-1020)/40. Suppose 0 = -79*g + p*g + 1232. What is the highest common factor of g and o? 14 Let y = 1350 - 1098. What is the greatest common divisor of 666 and y? 18 Let g(q) = 325*q - 1419. Let b be g(5). Calculate the greatest common factor of 3193 and b. 103 Let a = -16616 - -18425. What is the highest common divisor of a and 402? 201 Let a be (152/(-32) + 5)*-4*(-367 + 3). What is the greatest common factor of 39 and a? 13 Let c(i) = -4426 + 4456 + 4*i + 13*i + i**2. Let l be c(-17). Suppose 5*o = -3*q + 35, -4*o = 2*q - 6 - 18. What is the greatest common divisor of l and q? 10 Let o = 141 + -37. Suppose 19*q - 167 = 581 + 981. Calculate the greatest common factor of o and q. 13 Let v(w) = w**3 + 3*w**2 + 18*w + 94. Let q be v(-4). What is the greatest common factor of 202 and q? 2 Let h be 6 + -16 + (15 - -157). What is the greatest common factor of 5913 and h? 81 Let n = -352 + 89. Let y = n + 130. Let d = y + 189. What is the greatest common divisor of d and 84? 28 Let u(x) = -x**3 - 6*x**2 + x + 32. Let q be u(-5). What is the highest common divisor of q and 58? 2 Let h be 0 + -1 + 1*(3 - 7). Let d be (-5 - 2796/20)*h. Suppose 100 = -8*z + d. Calculate the highest common divisor of z and 6. 6 Let s = 5650 + -5602. Calculate the highest common divisor of 648 and s. 24 Let f = -832 + 278. Let s = f - -587. What is the greatest common divisor of 3 and s? 3 Suppose -7*l + 720 = -5*l. Let j = -974 - -1054. Calculate the greatest common divisor of l and j. 40 Let x(l) = l**3 + 33*l**2 - 39*l - 26. Let y be x(-31). Calculate the greatest common factor of 54 and y. 27 Let w be (108/(-192))/((-6)/(-8))*-148. What is the highest common divisor of 23754 and w? 111 Let u be (-157 - (2 + -29))*345/(-2). Calculate the highest common factor of 23 and u. 23 Suppose -2286 = -9*t + 5553. What is the greatest common divisor of 268 and t? 67 Let v be (1 + -2)/((-52)/6344). Suppose v = -3*i + 4*x + 155, 4*i + x - 44 = 0. What is the highest common factor of i and 9? 1 Suppose w + 963 = 5*s - 7097, -2*w - 6448 = -4*s. Calculate the highest common divisor of s and 39. 13 Let n = -5556 - -12050. What is the greatest common divisor of n and 68? 34 Let z = -1574 - -1577. Let i = 24 + -17. Calculate the greatest common factor of z and i. 1 Suppose -8*h = -9*h - 4*t + 20, -3*h = 5*t - 88. What is the highest common divisor of h and 9684? 36 Let d be 57/(((-15)/35)/(-1)). Suppose -143*n + d*n = -1870. What is the highest common factor of 17 and n? 17 Suppose -3*h + 5 - 53 = -5*m, -3*h = -4*m + 36. Let t(j) = 180*j - 75*j - 87*j. Let v be t(2). Calculate the highest common factor of m and v. 12 Suppose 58*s + 1446 = 61*s. Let z = s + -405. What is the greatest common factor of 28 and z? 7 Let s = -30 - -36. Let u = 1046 + -1041. Calculate the highest common factor of s and u. 1 Let f be 5745 - (-1 + (-6 - -1) + 1). What is the highest common factor of 46 and f? 46 Let u(j) = -1692*j + 24. Let z be u(-2). Suppose -14*v + z = 2*v. What is the highest common factor of 142 and v? 71 Suppose -35 = 5*h, 47*z - 5*h - 700 = 42*z. Calculate the highest common factor of 24073 and z. 133 Let u(d) = 2*d**2 + 19*d - 5. Let a be u(-10). Suppose 47*s - a = 46*s. What is the greatest common divisor of 25 and s? 5 Suppose -45*i + 7*i + 17792 = 5290. What is the greatest common factor of 611 and i? 47 Let t be 107/(-7) - 1/21*-6. Let c be (1 - (-21)/t) + (-32)/(-5). Suppose -c*u +
{ "pile_set_name": "DM Mathematics" }
4 divided by -14. -212/7 -3938 divided by 22 -179 Divide 42498 by 1. 42498 -60 divided by -5 12 Calculate -1394 divided by 2. -697 What is -798 divided by -19? 42 Calculate 527 divided by 1. 527 Calculate 15582 divided by -371. -42 -48 divided by -4 12 Calculate -100 divided by -25. 4 Divide -2 by -235. 2/235 Divide -5 by 658. -5/658 Calculate 863 divided by -1. -863 What is 52 divided by 13? 4 Calculate -170 divided by -1. 170 Divide -9 by 95. -9/95 Divide 214 by 2. 107 -26 divided by -50 13/25 415 divided by 5 83 Calculate -672 divided by -4. 168 Divide 90 by -90. -1 Divide 1516 by 3. 1516/3 What is 41 divided by -134? -41/134 1830 divided by 6 305 700 divided by -140 -5 4123 divided by 19 217 Divide 4 by -35. -4/35 Calculate -100 divided by -18. 50/9 Divide 8 by 59. 8/59 -63 divided by -7 9 Calculate 2 divided by 495. 2/495 What is -5328 divided by 48? -111 What is 23 divided by -680? -23/680 -4 divided by 89 -4/89 1428 divided by 7 204 What is -4 divided by -1774? 2/887 What is -612 divided by -6? 102 Calculate 64 divided by 64. 1 Calculate -135 divided by 45. -3 Calculate -28 divided by -28. 1 Calculate -5 divided by -28. 5/28 26 divided by -2 -13 Calculate 8402 divided by -1. -8402 Calculate -1216 divided by -304. 4 Divide 2 by 3165. 2/3165 Calculate -21 divided by -8. 21/8 Divide -255 by -5. 51 Divide 1862 by 19. 98 -3 divided by 103 -3/103 What is 1615 divided by -323? -5 Divide 5 by -90. -1/18 -1599 divided by 13 -123 -303 divided by -4 303/4 Divide 4 by -974. -2/487 Calculate -250 divided by -50. 5 Divide 2484 by 2. 1242 Calculate 1 divided by -38. -1/38 What is 2646 divided by -126? -21 -40 divided by 40 -1 What is -81 divided by 1? -81 What is 2 divided by 2162? 1/1081 Divide 12 by -4. -3 Calculate -156 divided by 6. -26 What is 1374 divided by -2? -687 What is 3370 divided by -5? -674 Divide 2 by 697. 2/697 Calculate -1 divided by -1152. 1/1152 What is 142 divided by -5? -142/5 Calculate -622 divided by -6. 311/3 What is 52250 divided by -5? -10450 What is 456 divided by -1? -456 Calculate -77 divided by -11. 7 -2 divided by -265 2/265 What is -529 divided by -23? 23 What is -27 divided by 9? -3 Divide 1 by -1. -1 Calculate 297 divided by 3. 99 Divide -288 by 5. -288/5 Calculate 2600 divided by -65. -40 3 divided by -61 -3/61 What is 0 divided by -993? 0 Divide 4 by 140. 1/35 Calculate -1837 divided by -6. 1837/6 -752 divided by -8 94 44 divided by 22 2 What is 2436 divided by 1218? 2 Calculate -1164 divided by 3. -388 Calculate 104 divided by -2. -52 1722 divided by 287 6 Divide -3984 by 6. -664 19914 divided by 3319 6 Calculate 2900 divided by -4. -725 What is -144 divided by -4? 36 Calculate -206 divided by -24. 103/12 Divide 180 by -10. -18 What is 5 divided by 53? 5/53 346 divided by 2 173 Divide 137 by 2. 137/2 Divide 7506 by -278. -27 Divide -4 by -47. 4/47 Calculate 1927 divided by -1. -1927 Divide 12 by -16. -3/4 What is -6250 divided by -1250? 5 23 divided by -60 -23/60 14 divided by -230 -7/115 What is 6865 divided by 5? 1373 What is 3372 divided by 6? 562 Divide -1 by -25. 1/25 Divide -513 by -57. 9 Divide -5 by 72. -5/72 -5829 divided by 1943 -3 Divide -5 by -130. 1/26 -79 divided by -1 79 What is 28716 divided by 4786? 6 What is -896 divided by -14? 64 0 divided by 154 0 What is -48 divided by -24? 2 Calculate -84 divided by -21. 4 Divide 154 by 154. 1 Calculate -3 divided by 64. -3/64 Divide 1440 by 80. 18 What is 19 divided by -7? -19/7 Divide -45702 by -6. 7617 What is 23 divided by -9? -23/9 -2100 divided by -35 60 Divide -136 by 34. -4 What is 2151 divided by 5? 2151/5 -23 divided by 36 -23/36 What is -29 divided by -1? 29 Calculate 100974 divided by -6. -16829 Divide -91 by 91. -1 12614 divided by -106 -119 Calculate -45 divided by -5. 9 What is 880 divided by -4? -220 -5 divided by 36 -5/36 Divide -7730 by -5. 1546 -4896 divided by -72 68 Calculate 3 divided by -1. -3 Calculate -64 divided by -5. 64/5 What is -766 divided by -12? 383/6 1345 divided by 269 5 Divide -22 by -408. 11/204 191 divided by -7 -191/7 Calculate 5 divided by 5. 1 What is -16815 divided by 3? -5605 What is 4 divided by 50? 2/25 Divide -6217 by -2. 6217/2 Divide -5 by 2001. -5/2001 Divide -13 by -1. 13 1032 divided by -1 -1032 What is 1806 divided by 42? 43 -15510 divided by 5170 -3 What is -84 divided by 84? -1 What is -2 divided by -1570? 1/785 What is 10791 divided by 1199? 9 6 divided by -3 -2 Divide -15969 by 3. -5323 What is -26680 divided by 115? -232 What is 438 divided by 146? 3 Divide 114 by 1. 114 726 divided by 1 726 Calculate -6786 divided by 377. -18 Calculate -3 divided by -71. 3/71 What is -2 divided by 265? -2/265 What is -6868 divided by 1717? -4 Divide -6 by -35. 6/35 What is -1680 divided by 105? -16 Calculate 156 divided by 1. 156 Calculate -875 divided by -5. 175 -2 divided by -2977 2/2977 Divide 0 by -62. 0 -132 divided by -6 22 Divide -635 by 127. -5 Calculate -23 divided by -6. 23/6 Calculate -2 divided by 2901. -2/2901 What is 7854 divided by 7? 1122 What is 5 divided by -838? -5/838 What is 544 divided by 272? 2 Divide -4 by -837. 4/837 -3 divided by -204 1/68 Calculate -9918 divided by -6. 1653 What is -3 divided by 34? -3/34 1014 divided by 1 1014 Divide 7013 by 1. 7013 Calculate 12 divided by 42. 2/7 Divide -4 by -22. 2/11 Divide 0 by -122. 0 Calculate -66 divided by -2. 33 Calculate -69 divided by 292. -69/292 Calculate 2112 divided by -6. -352 -832 divided by 7 -832/7 Divide 0 by -409. 0 Divide 157 by 1. 157 Divide 19548 by -6516. -3 -390 divided by 78 -5 -240 divided by -3 80 What is 16506 divided by -6? -2751 0 divided by -38 0 What is 3 divided by 1091? 3/1091 31 divided by 5 31/5 Divide -7708 by -2. 3854 What is 2444 divided by -8? -611/2 10 divided by -18 -5/9 Divide 5 by 1128. 5/1128 What is -417 divided by 139? -3 What is -3087 divided by -147? 21 Divide 1513 by -89. -17 Calculate 301 divided by -13. -301/13 Calculate 29 divided by -25. -29/25 -211 divided by -4 211/4 Calculate -32 divided by 3. -32/3 Divide 2264 by -2. -1132 Divide -897 by -3. 299 Divide 108 by 12. 9 Divide 681 by -1. -681 Calculate -6420 divided by 1284. -5 Calculate -1 divided by 308. -1/308 What is 82 divided by 1? 82 Divide -986 by -58. 17 What is 1286 divided by 643? 2 Divide 1 by 6077. 1/6077 What is 4 divided by 2120? 1/530 Calculate 5820 divided by 1164. 5 -9723 divided by -7 1389 Divide 4 by 2674. 2/1337 74547 divided by 3 24849 Calculate -48 divided by -3. 16 1782 divided by 99 18 Divide -9 by -23. 9/23 Calculate -25 divided by -6. 25/6 Divide -45428 by 2. -22714 Calculate -2825 divided by -113. 25 Calculate -1688 divided by -422. 4 Calculate -6165 divided by -5. 1233 Calculate 380 divided by -95. -4 2 divided by 31 2/31 -29 divided by -18 29/18 What is 5142 divided by -5142? -1 Divide 4 by 242. 2/121 Calculate -5 divided by 623. -5/623 Divide 29736 by 6. 4956 1166 divided by -3 -1166/3 Calculate 39 divided by 29. 39/29 830 divided by -5 -166 Calculate -67 divided by -6. 67/6 Divide 31 by -9. -31/9 What is -1619 divided by -5? 1619/5 What is 2 divided by 83? 2/83 Calculate 235 divided by -2. -235/2 Calculate -1701 divided by -5. 1701/5 Divide 42 by 15. 14/5 What is 35090 divided by -5? -7018 Calculate 13 divided by -5. -13/5 What is 108 divided by 19? 108/19 Calculate -2 divided by -1308. 1/654 Divide -560 by 7. -80 Divide 1 by 199. 1/199 Divide 255 by 51. 5 2043 divided by -681 -3 What is -42 divided by -14? 3 What is -99 divided by 2? -99/2 Divide 46 by 46. 1 Divide 462 by 3. 154 Divide 30 by 3. 10 Calculate 2620 divided by 1310. 2 Divide -1 by 459. -1/459 -524 divided by 2 -262 What is -13 divided by 7? -13/7 138 divided by 4 69/2 What is 364 divided by 6? 182/3 What is -3404 divided by -4? 851 Calculate 702 divided by -6. -117 -50 divided by -10 5 Divide -98 by -2. 49 Divide 131 by 5. 131/5 Divide 1 by 17. 1/17 Divide -2 by -563. 2/563 0 divided by 347 0 What is -527 divided by -17? 31 -116 divided by -58 2 Divide 15 by -888. -5/296 Divide 2428 by 4. 607 Divide -11 by -44. 1/4 What is 74 divided by 2? 37 5465 divided by 5 1093 Divide 4 by -2. -2 -705 divided by 235 -3 Divide 2 by -22. -1/11 Calculate -252 divided by 2. -126 What is -1225 divided by -175? 7 Calculate 1392 divided by 348. 4 What is -15 divided by 303
{ "pile_set_name": "DM Mathematics" }
by 13. 12 Suppose 3*o - 33 = -3*w, 2*o = 4*w - 2*w + 42. Calculate the remainder when 62 is divided by o. 14 Let q be 166/10 + (-12)/20. Suppose 2*b - q = 6. Calculate the remainder when 41 is divided by b. 8 Let k = 3 + -1. Calculate the remainder when 5 is divided by k. 1 Let k(v) = -v**2 - 8*v - 4. Let w(s) = -s**2 - 7*s - 1. Let h be w(-8). Let l = -3 - h. What is the remainder when k(-3) is divided by l? 5 Let y(k) = 3*k**2 + 4*k + 2. Let a = 79 - 47. Calculate the remainder when a is divided by y(-3). 15 Let u = 10 - 2. Let w(t) = -t**3 + 8*t**2 - 5*t + 1. Calculate the remainder when w(7) is divided by 3/(-1 - (-11)/u). 7 Suppose 4*s - 4*j = -j - 5, -j = 4*s - 7. Let q(d) = 2*d + d**3 - 3*d - 3*d + 2 - 3*d**2. What is the remainder when q(4) is divided by s? 0 Suppose -5*k = -2*c + 2, -k - 1 = -5. Suppose -r + 27 = -14. What is the remainder when r/2 + 3/(-6) is divided by c? 9 Suppose -5*y + 17 = -8. Let u be (-6)/(-2) - 0/y. Calculate the remainder when 44 is divided by 15*(-2 + 0 + u). 14 What is the remainder when -1*(-4 + 0 - 18) is divided by 6? 4 Let n(x) = x - 9. Let c be n(9). Suppose 2*a - 3*a + 18 = c. Calculate the remainder when a is divided by -2 - (-6)/(-1)*-2. 8 Let b = 9 + -5. Suppose 0 = -2*q - 3*m - 2 + 35, q - 22 = b*m. What is the remainder when 53 is divided by q? 17 Let k(f) = 22*f + 4. Let b = 25 - 15. What is the remainder when k(2) is divided by b? 8 Suppose 2*b = 6*b - 164. Let z(k) = -k**3 - 7*k**2 - 2*k. Suppose 5*g + 60 = -5*u, -4*g - 59 = 5*u - 6. Calculate the remainder when b is divided by z(g). 13 Let f be (2 - 1) + (-21)/(-7). Suppose -m - 14 + 61 = f*r, 4*r - 109 = -3*m. Calculate the remainder when m is divided by 17. 14 Suppose 0*z = z. Suppose -20 = -2*q - 3*c, 3*c + z*c = 3*q. What is the remainder when q is divided by 3? 1 Suppose 0 = 3*i + 2*h - 80, 3*h = -4*i - 0*h + 108. What is the remainder when 93 is divided by i? 21 Let c(m) = 2*m**3 - 3*m**2 + m + 3. Let v be -2 - (-1 - 5)/1. Calculate the remainder when c(v) is divided by 22. 21 Let c(b) = 2*b**2 + 11*b + 30. Calculate the remainder when 39 is divided by c(-3). 9 Let w = -21 - -6. Let d = 35 + w. Let n = -143 - -201. Calculate the remainder when n is divided by d. 18 Let s(j) = j**3 + 7*j**2 - j + 7. Calculate the remainder when s(-7) is divided by 3. 2 Suppose 4*h + 10 = 34. Calculate the remainder when 15 is divided by h. 3 Let g(t) = t**2 - 6. Suppose -6 = -4*o - 30. Let a be g(o). Suppose 4*c - 82 - a = 0. Calculate the remainder when c is divided by 15. 13 Suppose v - 18 - 40 = 0. Suppose -3*b + 52 = 4*h, b + 0*b - h = 22. What is the remainder when v is divided by b? 18 Let j = 0 + 4. Suppose 0 = -5*b - 3*r + 52, j*b + 0*r = 4*r + 48. Let t = 20 - b. What is the remainder when 25 is divided by t? 7 Let m be (-2)/(-5) - 46/(-10). Suppose g - 40 = 5*v, -3*g + m*v + 84 = 2*v. Suppose g = 3*f - 5. What is the remainder when 28 is divided by f? 8 Suppose 5*t - 13 - 42 = 0. What is the remainder when 20 is divided by t? 9 Let q(b) = b**3 - 3*b**2 + b + 3. What is the remainder when 23 is divided by q(3)? 5 Suppose 2*z = 5*z - 78. Let j(u) = 3*u**2 - u - 1. Suppose 3*f + f - 8 = 0. What is the remainder when z is divided by j(f)? 8 Let h be 5/((-31)/(-10) - 3). Let w = -30 + h. Suppose 3*i - 6*i - 16 = -4*k, 3*i = 5*k - 23. What is the remainder when w is divided by k? 6 Suppose c = -0 - 4. Let m be (c/5)/((-1)/(-5)). What is the remainder when 2 is divided by 1*m*(-3)/6? 0 Suppose 5*f - 150 = -2*h, h + 5*f = 3*h - 130. What is the remainder when h is divided by 18? 16 Let x(b) = b**2 - 4*b + 3. Let i be x(2). Calculate the remainder when 344/28 + (-4)/14 is divided by (-8 + (-1 - -2))/i. 5 Suppose -5*m + 0*m = -120. What is the remainder when 95 is divided by m? 23 Let j(w) = -w**3 - 11*w**2 - 10*w + 12. What is the remainder when 33 is divided by j(-10)? 9 Let a = -30 - -63. What is the remainder when a is divided by 17? 16 Let q be 4/(-6) + (-604)/(-6). Suppose -3*z = z - q. Calculate the remainder when z is divided by 9. 7 Let k = 15 + 2. Let q = k + 18. Suppose -t + q = 4*t. What is the remainder when 20 is divided by t? 6 Let i(m) = 6*m**2 - 3*m. Calculate the remainder when 2/(-4) + 210/4 is divided by i(2). 16 Suppose -4*u + 8 = -0*u. Suppose u*o = 7*o - 130. Calculate the remainder when o is divided by 14. 12 Let o(x) = -22*x - 4. Calculate the remainder when o(-3) is divided by 32. 30 Calculate the remainder when 64 is divided by 22/(1 - (-3 - -3)). 20 Let s = 137 - 97. Let x = s + -27. What is the remainder when 51 is divided by x? 12 Let x = 5 - 2. Calculate the remainder when 11 is divided by x. 2 Calculate the remainder when 29 is divided by 5/(-2)*(-9 + 3). 14 Let x = -3 + 17. What is the remainder when 27 is divided by x? 13 Let x = 8 + 12. Suppose -m + 38 = -0*m. What is the remainder when m is divided by x? 18 Let o = -58 - -77. What is the remainder when 75 is divided by o? 18 Suppose -5*j = -50 - 0. Let w(i) = i**2 - 8*i + 14. Calculate the remainder when w(j) is divided by 18. 16 Suppose u - 6 = -3. Let f = u - -14. What is the remainder when 48 is divided by f? 14 Calculate the remainder when 48 is divided by 6/2 + 21/3. 8 Suppose -604 = -4*g - 4*x, -2*g + 318 = -0*x - 2*x. What is the remainder when g is divided by 39? 38 Suppose 2*x + 3*p + 14 = 6*x, 3*x - 4 = -p. Let h = 9 + x. What is the remainder when 20 is divided by h? 9 Let y(f) = -3*f**3 - f**2 - f. Let u = -2 - 0. What is the remainder when y(u) is divided by 12? 10 Let i = 28 + -13. Suppose 5*z + 5*n - 120 = 0, 0*n = -5*n - i. Calculate the remainder when z is divided by 14. 13 Suppose -24 = -3*x + x. Suppose 5*i = -13 - x. Let t(p) = -5*p + 2. Calculate the remainder when t(i) is divided by 7. 6 Let m = 16 - 9. Let s = m - -1. Suppose 0 = 3*l - s*l + 60. What is the remainder when 34 is divided by l? 10 Suppose -3*m + 10 = -2*m. Let v = 22 - m. Let q = -5 + 50. Calculate the remainder when q is divided by v. 9 Suppose 2*q = -6, 5*l + 0*l = -3*q + 1. Suppose 0*a - 24 = -l*a. What is the remainder when (-4)/6*207/(-6) is divided by a? 11 Let p(z) = 29*z - 5. Let c be p(4). Let s = c + -77. Let k = 30 - 18. Calculate the remainder when s is divided by k. 10 Let n = 10 + 14. Calculate the remainder when 47 is divided by n. 23 Suppose 0 = -3*t + 50 - 11. Let p = t + -8. What is the remainder when 9 is divided by p? 4 Suppose 3*k - 3*f + 44 = 2*k, -k + 5*f - 44 = 0. Let s = -30 - k. Calculate the remainder when 53 is divided by s. 11 Calculate the remainder when 88 is divided by (0 - -2)/(-4*(-1)/90). 43 Let y(f) = 2*f**3 - 3*f**2 - 3*f + 2. What is the remainder when 32 is divided by y(3)? 12 Let y(d) = 3*d**2 - 1. Suppose -t + 5*i + 24 = 0, 2*i = 4*t - t - 20. Calculate the remainder when y(2) is divided by t. 3 Let a(g) = -3*g. Suppose -7*w + 13*w - 174 = 0. What is the remainder when w is divided by a(-5)? 14 Let v(l) = -3*l - 5. Let d(b) = -b**2 - 6*b + 2. Let h(w) = -w**3 - 7*w**2 - w - 10. Let s be h(-7). Calculate the remainder when d(s) is divided by v(-3). 3 Let n = -140 + 221. Calculate the remainder when n is divided by 9 - (3 + 0 + -6). 9 Suppose 2*g = -3*o + 5*g + 39, 4*o = 5*g + 50. Calculate the remainder when o is divided by 7. 1 Let s(i) = -i**2 + 6*i - 5. Let h be s(5). Let t = 47 - h. Calculate the remainder when t is divided by 12. 11 Calculate the remainder when 1/(-3) + 478/3 is divided by 40. 39 Let b be 3/(-3) + 0 + 22. Let j = -13 + b. What is the remainder when j is divided by 3? 2 Let v(r) = -r**3 + 6*r**2 + 6*r - 5. What is the remainder when 84 is divided by v(6)? 22 Suppose -17*h + 76 = -13*h. Calculate the remainder when 55 is divided by h. 17 Let w(o) = -o**3 - 3*o**2 - o + 6. Let q(y) = 1. Let t(g) = -5*q(g) + w(g). What is the remainder when 11 is divided by t(-3)? 3 Let a = 50 - 29. Calculate the remainder when (a + (-1 - -3))*1 is divided by 6. 5 Let z(m) = 4*m - 1 + 4*m + 3*m. What is the remainder when z(4) is divided by 23? 20 Let h = 11 + 16. What is the remainder when 133 is divided by h? 25 Let d(g) = -g**3 - 3*g**2 - 2*g - 1. Let z be d(-3). Let o(w) = 3 - 2 + 1 + 7*w - w**2. Calculate the remainder when 34 is divided by o(z). 10 Suppose 2*b + 66 - 172 = 0. Suppose 10 - b = -s. What is the remainder when s is di
{ "pile_set_name": "DM Mathematics" }
e. x**(106/21) Simplify (g**(-32)/g)/g**(-31) assuming g is positive. g**(-2) Simplify ((x**(-4)*x)/(x*x**(-5)))/(x**(2/5)/(x/(x**1*x))) assuming x is positive. x**(-2/5) Simplify ((q**(1/3))**(-42))**(-22) assuming q is positive. q**308 Simplify (i*i**8*i*(i*i*i*i**(-11)/i)/i)/(((i/i**8*i)/i)/(i*i/(i/(i**5/i))*i)) assuming i is positive. i**13 Simplify (v**(-11))**(-45) assuming v is positive. v**495 Simplify (c**(1/3))**(-34)/(c**(-1/5)/c**8) assuming c is positive. c**(-47/15) Simplify (t**(5/4)*t**(1/11))/(t*t*t**(1/3))**(-48) assuming t is positive. t**(4987/44) Simplify (t**(2/63))**(-2/81) assuming t is positive. t**(-4/5103) Simplify (o/(o*o/((o*((o*o**(2/5))/o*o)/o*o)/o)*o))**26/(o**(-8)/o**6) assuming o is positive. o**(-8/5) Simplify (h*((h/((h*h/(h/(h/(h*h/(h*(h**(-2/3)/h)/h*h))))*h*h)/h))/h)/h)/(h/(h/((h/(h*h**(-2)*h)*h)/h)*h)) assuming h is positive. h**(-1/3) Simplify (i*i**2)/i**(-32) assuming i is positive. i**35 Simplify (h*h**(-1/4)*h)**50 assuming h is positive. h**(175/2) Simplify t**(-4)*(t/t**(-5))/t*t*t*(t*(t**(-1/7)*t)/t*t)/t*t*t/t**3 assuming t is positive. t**(20/7) Simplify ((g**(-9)/g)/g**(-12))**(4/5) assuming g is positive. g**(8/5) Simplify f**(17/5)*f**(-8) assuming f is positive. f**(-23/5) Simplify ((r**(-1/9)*r)/r**4)/(r/(r**(1/2)/r))**(1/8) assuming r is positive. r**(-475/144) Simplify (((m/(m**(-3/5)/m))/m)/(m/(m*m**(-1/7))*m))/(m**(-1/3)/m**(1/2)) assuming m is positive. m**(271/210) Simplify (v*v/(v*v**8))/v**(3/2) assuming v is positive. v**(-17/2) Simplify (c*c*c/(c*c*((c*c**(2/21))/c)/c)*c)**11 assuming c is positive. c**(671/21) Simplify (i**(1/4))**(-6/17)/(i/i**0*i**(2/23)) assuming i is positive. i**(-919/782) Simplify (f/f**(-3/8))/f*f/(f*f/f**(-3))*f*(f/f**0)/f**(1/2) assuming f is positive. f**(-17/8) Simplify ((q*(q**9*q)/q)/(q**(2/5)*q))/(q**(-1/5))**12 assuming q is positive. q**11 Simplify (p**(3/4))**(-8/7) assuming p is positive. p**(-6/7) Simplify ((y*(y*y**2*y)/y*y)/(y/(y/(y*y/(y/(y/y**(-8))))*y)))**(-1/9) assuming y is positive. y**(4/9) Simplify (g**(-1/5)*g)/(g*g/(g/g**(-2/65)*g)) assuming g is positive. g**(54/65) Simplify (h/h**(-29))/h*h*(h*h*h/(h/(h**(2/33)*h))*h)/h*h assuming h is positive. h**(1124/33) Simplify p*p/p**(-24)*p**7 assuming p is positive. p**33 Simplify ((z*z**(-2))/(z**0*z*z))**(-17) assuming z is positive. z**51 Simplify ((g/(g/(g**(-2/7)*g*g*g))*g)/(g*g**(-3)))/((g*(g**(-2)*g)/g*g)/(g/g**(3/8))) assuming g is positive. g**(355/56) Simplify ((u**(3/8)*u)/u**(-1/2))**(1/21) assuming u is positive. u**(5/56) Simplify (f**(-2/7))**(-32)/(((f**0*f)/f)/f)**(-24/5) assuming f is positive. f**(152/35) Simplify f/(f*f**(4/9)*f)*f**(-2)*((f*f*f/f**(-5)*f*f)/f)/f**(5/2) assuming f is positive. f**(55/18) Simplify (l**(-2/11))**(-17/4) assuming l is positive. l**(17/22) Simplify ((n**(-1)*n*n)/n*n)**(2/13)/((n**(-3)*n)/n**(-2/9)) assuming n is positive. n**(226/117) Simplify (z*z*z**23)/(z/(z/(z/(z/(((z/(z**(-6)/z))/z)/z))*z*z))) assuming z is positive. z**17 Simplify (i*i*i/(i*i**(-1/3)))**(-3/13)*(i*i**0)/i*(i/i**(-1/2))/i assuming i is positive. i**(-1/26) Simplify (f/f**1*f)**(-12) assuming f is positive. f**(-12) Simplify (j*j*j/(j**(-3/4)/j))/(j/(j*j*j/(j/(j**(-5)/j*j))))*j**(1/10)/j**(-1/17) assuming j is positive. j**(309/340) Simplify j**16/j**(1/6) assuming j is positive. j**(95/6) Simplify (y**(-2/5))**(1/67)*y**(-1/5)/y*y*y*y*y**2 assuming y is positive. y**(1271/335) Simplify ((k*k**(-1/3))**(-1/41))**(4/41) assuming k is positive. k**(-8/5043) Simplify (m*m**(-29))/m**(-3/20) assuming m is positive. m**(-557/20) Simplify y/(y**(1/2)/y*y)*y*y/((y**(2/71)/y*y)/y) assuming y is positive. y**(493/142) Simplify (i*i/((i/i**17)/i))/i*i*(i/((i*i**(-11))/i))/i assuming i is positive. i**30 Simplify (z**(-2/37))**(7/3) assuming z is positive. z**(-14/111) Simplify (t**(-1/2)/t)**12*(t**(2/3))**(-17) assuming t is positive. t**(-88/3) Simplify t**(-1/4)/(t*t/(t/t**10)*t*t)*(t*(t*t*t/((t*(t**(1/4)*t)/t)/t)*t)/t)**(-3/14) assuming t is positive. t**(-787/56) Simplify (n/(n/n**(-1/3))*n)/(n/n**4*n)*(n*n**(1/2))**(-28) assuming n is positive. n**(-118/3) Simplify (h/h**(3/20))/(h*h/(((h*h*h**(-9))/h)/h)) assuming h is positive. h**(-203/20) Simplify (d*d*d*d**(-3)*d)/((d*d**(-17))/d) assuming d is positive. d**18 Simplify (r*r**(-36))/(r*r**(-12)*r) assuming r is positive. r**(-25) Simplify ((h/(h/(h/((h/h**(1/2))/h))*h))**(-44))**(-1/5) assuming h is positive. h**(22/5) Simplify (r*r**(-1))**(-7/10)*r*r/r**(3/2)*r*r**9 assuming r is positive. r**(21/2) Simplify ((s*s**(2/45)*s)/s**(-4/5))**(-21) assuming s is positive. s**(-896/15) Simplify (l*l*l**(-2))**(-44)*l**5/l**5 assuming l is positive. 1 Simplify (((c**0/c)/c)**(-3/2))**(-41) assuming c is positive. c**(-123) Simplify (c**35/c)/c**9 assuming c is positive. c**25 Simplify (u/((u*u/(u/(u/((u*u/((u*u*u/u**0*u)/u))/u))))/u*u)*u)**(-15/7) assuming u is positive. u**(30/7) Simplify (b*b**(-6))**(-1) assuming b is positive. b**5 Simplify (k/(k**(-2/13)/k))**(-6/13) assuming k is positive. k**(-168/169) Simplify s**(1/5)/s**8 assuming s is positive. s**(-39/5) Simplify j/(j*j**(-1/3)*j)*j**17 assuming j is positive. j**(49/3) Simplify (o/o**(1/8))**(4/11) assuming o is positive. o**(7/22) Simplify z**(-10/9)/z*z**(-31) assuming z is positive. z**(-298/9) Simplify (y**(-1/5)*y*y**6)**(-48) assuming y is positive. y**(-1632/5) Simplify s**10/s*s*s*s**(-2/7) assuming s is positive. s**(75/7) Simplify ((x/x**0)/(x/(x*x**(-1/5)*x)))/((x*(x**2/x)/x*x*x)/((x*x/x**(4/9)*x)/x)) assuming x is positive. x**(16/45) Simplify ((c**3*c)/(c/(c*c**(-2/9)/c)*c))**(-42) assuming c is positive. c**(-224/3) Simplify (b*b/(b**(1/18)/b*b)*b)/(b/(b**(-19)/b)) assuming b is positive. b**(-325/18) Simplify (q*q*q/q**(-25))/q*q**(-1/41) assuming q is positive. q**(1106/41) Simplify ((m/m**1)/m)**(-2/17)*(m*m*m**(-3)*m)/m**3 assuming m is positive. m**(-49/17) Simplify ((t/t**(-2/9))/t**(-1/9))/(t**4/t*t**(4/7)) assuming t is positive. t**(-47/21) Simplify (k**(-18/11)/k)/k*k*k**(-1) assuming k is positive. k**(-40/11) Simplify d*d/d**(4/3)*d*(d**(-14)/d)/d assuming d is positive. d**(-43/3) Simplify (x*x*x/(x/(((x*x**(-24)*x*x)/x*x)/x*x))*x)/(x**(1/8)*x) assuming x is positive. x**(-153/8) Simplify (w**5/(w*w/(w/w**(-7))))**42 assuming w is positive. w**462 Simplify (b**(-3))**(-33)*b/(b**1/b)*b**(2/11) assuming b is positive. b**(1102/11) Simplify (m**(-10))**37 assuming m is positive. m**(-370) Simplify n**6*n**(-6/11)*(n*n*n**0*n)/(((n*n*n**(2/9))/n)/n) assuming n is positive. n**(815/99) Simplify (h*h**19*h)/h**(3/22) assuming h is positive. h**(459/22) Simplify (k/(k*k**0*k))/k**(-1/2)*(k/(k/k**(-1/6)))/((k*k/((k*k/((k*k**(1/5))/k*k*k)*k)/k))/k) assuming k is positive. k**(-28/15) Simplify (s**(-2))**28*((((s*s**0*s)/s)/s)/s)**(-1/12) assuming s is positive. s**(-671/12) Simplify m/(((m/m**10)/m)/m)*m**(2/139) assuming m is positive. m**(1670/139) Simplify a**(-4)*(a**(1/6)*a)/a*(a*a**(1/4))**(-50) assuming a is positive. a**(-199/3) Simplify q*q**(-2/15)*q**(-6/7) assuming q is positive. q**(1/105) Simplify (i*i*(i*i/(i**5/i))/i*i*i)**1 assuming i is positive. i Simplify (r**(-1/5)*r*r**(3/4))/(((r/((r*r**(-6))/r))/r)/(r*r**2)) assuming r is positive. r**(-29/20) Simplify (l*l**(-2))**9*(l**2)**(2/137) assuming l is positive. l**(-1229/137) Simplify ((u/(u*u**2))/u)**(-30) assuming u is positive. u**90 Simplify o**(-10)*o**33/o assuming o is positive. o**22 Simplify ((i**(-3/5))**(-5/13))**(-5/3) assuming i is positive. i**(-5/13) Simplify ((y*y*y**(-1))**(-7/4))**9 assuming y is positive. y**(-63/4) Simplify y**17/y*y**(-2/3)/y*y assuming y is positive. y**(46/3) Simplify (m/m**(6/7))**(-15/7) assuming m is positive. m**(-15/49) Simplify u**3*u**12 assuming u is positive. u**15 Simplify ((f*f**6*f)/f)**(3/5) assuming f is positive. f**(21/5) Simplify n/(n**(-1/7)*n)*(n/((n**(-6/11)*n)/n))/n*n assuming n is positive. n**(130/77) Simplify m**(-2)*m**7*m/(m/(((m/(m**(-4/7)*m))/m)/m))*m*m*m/m**(-2/9) assuming m is positive. m**(428/63) Simplify ((y**(-2)/y*y)/y*y*y**(1/4))/((y*y**(1/2)*y*y)/y**(-6)) assuming y is positive. y**(-45/4) Simplify (m*m**4*m**(1/15))/(m*m**(-5)/m*m*((m**(-4)/m)/m)/m) assuming m is positive. m**(241/15) Simplify
{ "pile_set_name": "DM Mathematics" }
he first derivative of 9*a**3 + 9*a**2 - 25 - 3 + 15*a - 8*a**3. Factor c(x). 3*(x + 1)*(x + 5) Let 9/4*y - 2 - 1/4*y**2 = 0. Calculate y. 1, 8 What is j in 276*j + 120 - 2394/5*j**2 - 21/5*j**4 + 87*j**3 = 0? -2/7, 1, 10 Suppose 354 = 47*g + 71*g. Solve 4/7*s**g + 4/7*s**2 - 4/7 - 4/7*s = 0 for s. -1, 1 Let r(i) be the third derivative of -13*i**2 + 1/8*i**4 - 1/70*i**7 + 3/40*i**6 + 0 - 3/20*i**5 + 0*i + 0*i**3. Factor r(c). -3*c*(c - 1)**3 Suppose -3*q - 10 = -2*y - 27, 0 = 3*q + 2*y - 1. Factor l**4 + 0*l**3 + 3*l**3 - l**2 - 7*l**q + 5*l**2. l**2*(l - 2)**2 Let l = -267 - -281. Suppose 0 = -l*k + 16*k. Factor 6/7*b + k - 3/7*b**2. -3*b*(b - 2)/7 Let j be 10/20 + (-18)/(-28) + -1. Let c(l) be the first derivative of 0*l**2 + 6 - j*l**4 - 2/35*l**5 - 2/21*l**3 + 0*l. Solve c(r) = 0. -1, 0 Factor -5/4*f**2 + 0 - 1/4*f**3 - 3/2*f. -f*(f + 2)*(f + 3)/4 Let q(a) be the third derivative of -a**8/336 + a**7/105 + 3*a**6/40 - 11*a**5/30 - a**4/6 + 4*a**3 + 429*a**2. Determine n, given that q(n) = 0. -3, -1, 2 Let f = -7598 + 7600. Factor -5 + 0*j + 5/4*j**f. 5*(j - 2)*(j + 2)/4 Let g be ((-21)/(-245))/3 - 1/(-5). Let s = g + 6/35. Factor -4/5*x**3 + 0*x + 0 + 0*x**2 + s*x**4. 2*x**3*(x - 2)/5 Factor 3/4*u**2 + 21/4 + 6*u. 3*(u + 1)*(u + 7)/4 Let m be (12/(-15))/(30/(-75)). Factor 4/5*v**3 + 8/5*v**m + 4/5*v + 0. 4*v*(v + 1)**2/5 Let o = -8 + 10. Let a(b) = 5*b**2 + 10*b + 9. Let v(r) = 81*r**2 + 159*r + 144. Let k(t) = o*v(t) - 33*a(t). Let k(n) = 0. What is n? -3, -1 Let m = 485 + -483. Find d such that 8/5 - 16/5*d - 2*d**m = 0. -2, 2/5 Let x = 1550/3 + -516. What is s in 2/3 - x*s**2 + 0*s = 0? -1, 1 Suppose -10*s - 105 = -105. Let j(t) be the second derivative of -1/27*t**3 + 10*t + s + 1/54*t**4 + 0*t**2. Factor j(i). 2*i*(i - 1)/9 Let p(c) be the first derivative of -27*c**5/20 - 3*c**4/4 + 4*c**3 + 6*c**2 + c - 4. Let y(s) be the first derivative of p(s). Factor y(j). -3*(j - 1)*(3*j + 2)**2 Suppose 4231*g = 4224*g. Factor -50/9*b**4 + g - 20/3*b**3 - 2*b**2 + 0*b. -2*b**2*(5*b + 3)**2/9 Let x(n) be the first derivative of n**4/90 - n**3/15 + 2*n**2/15 - n - 13. Let u(g) be the first derivative of x(g). Factor u(l). 2*(l - 2)*(l - 1)/15 What is l in 27/2*l**2 + 0 - 1/2*l**3 - 13*l = 0? 0, 1, 26 Let -4*u - 29*u**2 - 4 + 79*u**2 - 51*u**2 = 0. What is u? -2 Factor -12365 - 5883*i - i**2 + 3529 + 5695*i. -(i + 94)**2 Let f(t) be the first derivative of 3 - 4*t - 1/9*t**4 + 0*t**2 + 0*t**3 + 1/15*t**5. Let s(h) be the first derivative of f(h). Let s(c) = 0. Calculate c. 0, 1 Let m(l) = 2*l**3 + 6*l**2 - 30*l + 41. Let n be m(-6). Solve 9/4*w**4 - 3/2*w + 0 - 9/4*w**2 + 3/4*w**n + 3/4*w**3 = 0. -2, -1, 0, 1 Suppose 2*j = -l + 9, -2*j = 5*l - 6*l - 3. Let r(s) be the first derivative of -1/16*s**4 + 1 + 0*s**2 + 0*s - 1/12*s**j. Solve r(c) = 0. -1, 0 Factor 31/9*y - 32/9 + 1/9*y**2. (y - 1)*(y + 32)/9 Let p be -3 - (-3 - (-80)/(-28)). Suppose -5*q + 2*m = -12, -4*q + 3*m + 15 = 4. Solve -2/7 - 50/7*b**q + p*b = 0 for b. 1/5 Let m = -14 + 26. Suppose 0 = 14*o - m*o. What is k in -2/11*k**4 + 0 + 0*k**2 + 4/11*k**3 + o*k = 0? 0, 2 Let j(u) be the first derivative of 9/14*u**2 - 2 - 12/7*u + 1/7*u**3. Suppose j(p) = 0. Calculate p. -4, 1 Suppose 0 = 4*w + 255 + 21. Let x = 485/7 + w. Factor 0 + 2/7*g - x*g**2. -2*g*(g - 1)/7 Let x(d) be the first derivative of -3*d**5/5 + 15*d**4/4 + 78*d**3 + 108*d**2 + 98. Factor x(f). -3*f*(f - 12)*(f + 1)*(f + 6) Let o(l) be the second derivative of -l**6/30 - 13*l**5/5 - 25*l**4/2 - 74*l**3/3 - 49*l**2/2 + 269*l. Factor o(u). -(u + 1)**3*(u + 49) Let f(b) = b**4 - b**3 + b**2 + b - 1. Let x(r) = 6*r**4 + 4*r**3 + 10*r**2 - 4*r - 12. Let z(s) = 4*f(s) - x(s). Factor z(n). -2*(n - 1)*(n + 1)*(n + 2)**2 Let u(x) = 2*x - 3. Let q be u(2). Let c be 0*q*(-4)/12. Factor 0*l**3 + c + 0*l - 1/3*l**2 + 1/3*l**4. l**2*(l - 1)*(l + 1)/3 Let j be (-5)/(10/3)*-4. Suppose 3*a**5 - j*a**2 + a**3 + a**5 - a**5 - 10*a**3 = 0. Calculate a. -1, 0, 2 Let x(v) be the third derivative of -v**6/600 + 67*v**5/100 - 4489*v**4/40 + 300763*v**3/30 - 208*v**2 + v. Suppose x(j) = 0. What is j? 67 Factor -2/5*q**4 + 6/5*q**2 + 0 + 0*q**3 - 4/5*q. -2*q*(q - 1)**2*(q + 2)/5 Factor 111*x - 1 + 1 - 307*x - 966*x**2 - 2*x**4 - 686*x - 86*x**3. -2*x*(x + 1)*(x + 21)**2 Suppose 0 = 14*x + 3894 - 3950. What is o in -15*o**3 - 9/2*o**x + 0 + 0*o + 12*o**2 = 0? -4, 0, 2/3 Let b(p) = -p**2 - 12*p - 15. Let u be b(-10). Suppose -u*v + 9 = -1. Let -17*l**v + 77*l + l**2 - 73*l = 0. Calculate l. 0, 1/4 Suppose 3*q = d + 3, d - 4*d = -2*q + 2. Let s(x) be the first derivative of 0*x**2 + 2 - 1/20*x**4 + d*x - 1/15*x**3. Let s(y) = 0. Calculate y. -1, 0 What is j in -838*j**4 + 798*j**4 + 28*j**3 + 212*j - 197*j**2 + 533*j**2 - 56 = 0? -2, -1, 1/5, 7/2 Suppose 8*t - 2*t = -36. Let q(f) = -5*f**2 + 6*f + 14. Let u(i) = -i + 1. Let y(b) = t*u(b) - q(b). Factor y(o). 5*(o - 2)*(o + 2) Factor 18/7*q + 26/7*q**3 - 4/7 + 48/7*q**2. 2*(q + 1)**2*(13*q - 2)/7 Let o = 486/11 + -482/11. Let 6/11*y + o + 2/11*y**2 = 0. Calculate y. -2, -1 Let p(a) be the second derivative of a**5/360 + a**4/72 - a**3/12 - 6*a**2 - 23*a. Let k(t) be the first derivative of p(t). Suppose k(x) = 0. Calculate x. -3, 1 Let o(v) be the second derivative of v**5/105 + 2*v**4/21 - 10*v**3/21 + 2*v**2 - 3*v. Let n(c) be the first derivative of o(c). Find a, given that n(a) = 0. -5, 1 Let g(h) be the second derivative of 0 + 13/3*h**3 - 9*h + 2/3*h**4 + 3*h**2. Factor g(r). 2*(r + 3)*(4*r + 1) Let r = 2301/20 + -574/5. Let w(y) be the second derivative of 0*y**2 - 1/30*y**6 + 3*y - r*y**4 - 1/6*y**3 + 0 - 3/20*y**5. Factor w(d). -d*(d + 1)**3 Factor -1/2*b**4 + 0*b**2 - 1/2*b**3 + 0 + 0*b. -b**3*(b + 1)/2 Determine y, given that 4/5*y + 2/5*y**4 - 2/5*y**2 + 2/5*y**5 - 6/5*y**3 + 0 = 0. -2, -1, 0, 1 Let -6 - 5/4*h + 1/4*h**2 = 0. What is h? -3, 8 Let l(x) = x**2 - 7*x + 9. Let c be l(6). Factor -3*u - u + 6*u**2 - 18*u**c - 3*u**5 + u + 12*u**4 + 6*u**2. -3*u*(u - 1)**4 Let i(r) = -36*r - 140. Let q be i(-4). Determine w, given that -14/3*w**5 + 0 - 26/3*w**3 + q*w**2 - 52/3*w**4 + 0*w = 0. -3, -1, 0, 2/7 Let i(w) = 2*w**3 - 114*w**2 + 2156*w - 13723. Let z(m) = m**3 - 57*m**2 + 1079*m - 6861. Let o(k) = 2*i(k) - 5*z(k). Let o(u) = 0. What is u? 19 Suppose 249*t = 246*t + 12, 27 = 3*f + 3*t. Solve -27/5*g**f - 144/5*g - 72/5*g**2 - 48/5 + 9*g**4 + 96/5*g**3 = 0. -1, -2/3, 2 Let x(n) = 21*n + 445. Let v be x(-21). Factor -1/3 - 13/3*y**2 - v*y**3 - 4/3*y**4 - 2*y. -(y + 1)**2*(2*y + 1)**2/3 Suppose -5*x = p - 6*p - 5, -4*p + 17 = 3*x. Suppose -4*b = 4*n - 32, b - x*b = 4*n - 32. Factor 5*u**2 + 5 - n - 2*u**2. 3*(u - 1)*(u + 1) Suppose 0 - 1/3*t**4 + 13/3*t**3 + 0*t**2 + 0*t = 0. What is t? 0, 13 Let h be -4 - -6 - (3/(-1) - -2). Let d(x) be the third derivative of 0*x**h + 0*x - 8*x**2 + 0*x**4 + 1/210*x**7 - 1/120*x**6 + 0*x**5 + 0. Factor d(p). p**3*(p - 1) Let s be (-14)/(-22)*(-27 + 38). Let a(l) be the third derivative of 3*l**2 + 3/80*l**6 + 0*l + 0*l**4 + 0 + 9/80*l**5 + 1/280*l**s + 0*l**3. Factor a(r). 3*r**2*(r + 3)**2/4 Let y(c) be the second derivative of 3*c**5/10 + c**4/3 + c**3/9 - 76*c. Factor y(d). 2*d*(3*d + 1)**2/3 Determine a, given that 7*a**3 - 5*a**3 - 5*a**3 - 21*a**2 - 18*a = 0. -6, -1, 0 Let i(s) be the third derivative of -s**9/2880 + 23*s**8/6720 - s**7/84 + s**6/60 - 43*s**5/60 - 10*s**2. Let o(q) be the third derivative of i(q). Factor o(y). -3*(y - 2)*(y - 1)*(7*y - 2) Let i be (-9*14/21)/((-4)/(-106)). Let d = i + 481/3. Find h such that 1/3 - 2/3*h + d*h**4 - h**2 + 4/3*h**3 = 0. -1, 1/2 Let q be 3/(-18) - (889/(-6) + 1). Factor -q*r**2 + 18 + 57*r + 53*r**2 + 73*r**2. -3*(r - 3)*(7*r + 2) Let d be -64 - -77 - 14/2. Let f(o) be the third derivative of 0*o**3 + 0*o + 1/144*o**8 - 1/90*o**d + 0*o**5 + 0 + 0*o**4 - 2/105*o**7 + 8*o**2. Factor f(l). l**3*(l - 2)*(7*l + 2)/3 Let k(f) = f**3 - 6*f**2 + f - 1. Let l be k(6). Suppose -q = -5*c - 0*c - 23, 11 = -3*q - l*c. Suppose 5*a - 2*a**3 - q*a - 191 + 192 - a**4 = 0. What is a? -1, 1 Suppose 234 = 10*q + 3*q. Suppose -o = 3*s - 1 - 0, -2*s = 5*o - q. Factor 1/2*f**3 + 1/6*f**5 + 1/6*f**2 + 1/2*f**o + 0 + 0*f. f**2*(f + 1)**3/6 Let o(b) = 11*b**3 + 208*b**2 + 2704*b - 7. Let m(d) = 5*d**3 + 104*d**2 + 1352*d -
{ "pile_set_name": "DM Mathematics" }
2, 3, 61, 8147147 What are the prime factors of 5455631051? 13, 3727, 112601 List the prime factors of 113429117. 17, 6672301 What are the prime factors of 67426817? 67426817 What are the prime factors of 203131888? 2, 19, 691, 967 List the prime factors of 7350746. 2, 13, 29, 9749 What are the prime factors of 1054304325? 3, 5, 73, 64189 What are the prime factors of 496811249? 11, 593, 76163 What are the prime factors of 43827750? 2, 3, 5, 43, 151 List the prime factors of 84252670. 2, 5, 47, 179261 List the prime factors of 1515025171. 11, 137729561 List the prime factors of 27181570. 2, 5, 13, 209089 What are the prime factors of 500249782? 2, 103, 199, 12203 What are the prime factors of 129638149? 29, 4470281 List the prime factors of 2501920. 2, 5, 19, 823 List the prime factors of 53972020. 2, 5, 53, 59, 863 What are the prime factors of 185870631? 3, 3541, 17497 List the prime factors of 6057154450. 2, 5, 8527, 14207 What are the prime factors of 13586719? 1487, 9137 List the prime factors of 9134550. 2, 3, 5, 53, 383 What are the prime factors of 93923157? 3, 31307719 What are the prime factors of 74861417? 74861417 List the prime factors of 927501208. 2, 73, 1588187 What are the prime factors of 1411591011? 3, 769, 611873 What are the prime factors of 2884690064? 2, 149, 1210021 List the prime factors of 90063766. 2, 13, 359, 9649 List the prime factors of 591967093. 11549, 51257 List the prime factors of 2457739337. 71, 1867, 18541 List the prime factors of 45359226. 2, 3, 11, 107, 2141 What are the prime factors of 28564635? 3, 5, 11, 233, 743 What are the prime factors of 4259750569? 191, 22302359 List the prime factors of 260719136. 2, 307, 26539 List the prime factors of 118642374. 2, 3, 73, 30097 List the prime factors of 2017229989. 47, 151, 284237 List the prime factors of 6746218829. 7, 963745547 List the prime factors of 84867572. 2, 29, 173, 4229 What are the prime factors of 103330716? 2, 3, 8610893 List the prime factors of 11350490. 2, 5, 37, 30677 What are the prime factors of 4390405? 5, 163, 5387 What are the prime factors of 59837702? 2, 29918851 List the prime factors of 124025438. 2, 17, 3647807 List the prime factors of 3640186477. 3640186477 List the prime factors of 1201884830. 2, 5, 43, 61, 45821 What are the prime factors of 882443758? 2, 7, 63031697 What are the prime factors of 85357038? 2, 3, 13, 1094321 What are the prime factors of 15464815? 5, 17, 31, 5869 What are the prime factors of 18502092? 2, 3, 7, 73421 List the prime factors of 498023419. 498023419 List the prime factors of 2254530306. 2, 3, 7, 53679293 List the prime factors of 1524814262. 2, 762407131 List the prime factors of 27261664. 2, 881, 967 List the prime factors of 60799634. 2, 7, 2069, 2099 What are the prime factors of 449251364? 2, 23, 71, 68777 What are the prime factors of 4054854443? 29, 139822567 What are the prime factors of 22245946? 2, 47, 236659 What are the prime factors of 50425096? 2, 31, 127, 1601 List the prime factors of 3290219015. 5, 17, 38708459 What are the prime factors of 116256069? 3, 277, 46633 What are the prime factors of 67021290? 2, 3, 5, 7, 35461 What are the prime factors of 2229905937? 3, 7, 97, 1094701 List the prime factors of 296030669. 11, 26911879 List the prime factors of 113607566. 2, 17, 3341399 List the prime factors of 890532483. 3, 5903, 50287 What are the prime factors of 111966875? 5, 23, 7789 List the prime factors of 294203178. 2, 3, 1816069 List the prime factors of 2622683575. 5, 97, 1031, 1049 What are the prime factors of 641862750? 2, 3, 5, 19, 31, 1453 List the prime factors of 132375806. 2, 103, 157, 4093 List the prime factors of 79553217. 3, 17, 307, 5081 What are the prime factors of 1790475605? 5, 137, 2613833 What are the prime factors of 503246718? 2, 3, 13, 131, 16417 What are the prime factors of 33050354? 2, 239, 69143 What are the prime factors of 92711924? 2, 239, 96979 What are the prime factors of 56885944? 2, 17, 418279 What are the prime factors of 151145685? 3, 5, 281, 11953 List the prime factors of 27686397. 3, 37, 249427 What are the prime factors of 5513362674? 2, 3, 37, 1291, 19237 List the prime factors of 26831204. 2, 6707801 List the prime factors of 609863110. 2, 5, 41, 1487471 List the prime factors of 145708639. 43, 3388573 What are the prime factors of 92371488? 2, 3, 11, 87473 List the prime factors of 35980091. 7, 19, 270527 What are the prime factors of 823974784? 2, 6437303 What are the prime factors of 70776001? 257, 275393 List the prime factors of 865739748. 2, 3, 173, 417023 List the prime factors of 29074253. 13, 89, 1933 List the prime factors of 302294970. 2, 3, 5, 1119611 What are the prime factors of 285860939? 7, 13, 3141329 List the prime factors of 3151848912. 2, 3, 59, 1112941 List the prime factors of 228244220. 2, 5, 47, 242813 What are the prime factors of 3230986695? 3, 5, 61, 179, 19727 What are the prime factors of 22791004? 2, 5697751 What are the prime factors of 57113482? 2, 28556741 What are the prime factors of 173171065? 5, 101, 139, 2467 What are the prime factors of 92980620? 2, 3, 5, 41, 43, 293 What are the prime factors of 640411142? 2, 7, 45743653 List the prime factors of 88291380. 2, 3, 5, 47, 131, 239 What are the prime factors of 150231188? 2, 911, 41227 What are the prime factors of 6634272189? 3, 2211424063 What are the prime factors of 25173316? 2, 7, 23, 39089 What are the prime factors of 1600438353? 3, 149, 653, 5483 What are the prime factors of 1679026157? 227, 7396591 List the prime factors of 70279866. 2, 3, 173, 7523 What are the prime factors of 9774917? 9774917 What are the prime factors of 1646404233? 3, 548801411 What are the prime factors of 37261416? 2, 3, 17, 271, 337 List the prime factors of 4390291560. 2, 3, 5, 4483, 8161 List the prime factors of 5539416135. 3, 5, 11, 33572219 List the prime factors of 176894955. 3, 5, 23, 2477 What are the prime factors of 564446947? 71, 1151, 6907 What are the prime factors of 952033239? 3, 631, 167641 List the prime factors of 178248302. 2, 89124151 What are the prime factors of 212303335? 5, 557, 76231 What are the prime factors of 2190310152? 2, 3, 9151, 9973 What are the prime factors of 432549652? 2, 139, 283, 2749 What are the prime factors of 4329813874? 2, 71, 30491647 What are the prime factors of 25439391? 3, 409, 6911 What are the prime factors of 21805777? 7, 109, 28579 List the prime factors of 1105281970. 2, 5, 13, 283, 2311 List the prime factors of 426041666. 2, 53, 859, 4679 What are the prime factors of 362458328? 2, 337, 134443 List the prime factors of 6437225040. 2, 3, 5, 223, 120277 What are the prime factors of 29603868? 2, 3, 7, 17, 20731 What are the prime factors of 418787425? 5, 7, 2393071 List the prime factors of 24381768. 2, 3, 1015907 What are the prime factors of 2535562? 2, 257, 4933 List the prime factors of 35135528. 2, 4391941 What are the prime factors of 461584094? 2, 269, 857963 List the prime factors of 935548274. 2, 467774137 List the prime factors of 24942845. 5, 4988569 What are the prime factors of 11892408? 2, 3, 11, 107, 421 List the prime factors of 40520772. 2, 3, 29, 37, 1049 List the prime factors of 387230851. 7, 293, 188801 What are the prime factors of 1234395669? 3, 13, 31651171 What are the prime factors of 189710483? 31, 227, 26959 List the prime factors of 7683189795. 3, 5, 1123, 1877 List the prime factors of 371658941. 11057, 33613 List the prime factors of 66695431. 11, 6063221 What are the prime factors of 333942353? 37, 2377, 3797 What are the prime factors of 175852838? 2, 7, 197, 63761 List the prime factors of 434393981. 7, 62056283 What are the prime factors of 217723711? 199, 1094089 What are the prime factors of 307981882? 2, 13, 47, 19387 What are the prime factors of 348959317? 7, 49851331 List the prime factors of 150542525. 5, 7, 53, 16231 List the prime factors of 2766514460. 2, 5, 138325723 What are the prime factors of 3910278980? 2, 5, 5927, 32987 List the prime factors of 53432356. 2, 257, 51977 List the prime factors of 186767372. 2, 11, 17, 22699 What are the prime factors of 454866506? 2, 227433253 List the prime factors of 1667478451. 257, 6488243 List the prime factors of
{ "pile_set_name": "DM Mathematics" }
41*q - 54. Calculate q*c(y) + 6*o(y). 2*y - 46 Let a = 14 - 8. Let q(z) = 15*z**2 + 11*z + 11. Suppose -8*g - 1000 = 424. Let x = g - -189. Let n(d) = -8*d**2 - 6*d - 6. What is a*q(k) + x*n(k)? 2*k**2 Let s be 10/75*-5*27/(-6). Let u(f) = 22*f**2 - 16*f. Let q(y) = -y**2 + y. Calculate s*u(g) + 48*q(g). 18*g**2 Let l(z) = -14*z**3 + 108*z**2 - 5*z + 10. Let k(c) = 13*c**3 - 107*c**2 + 4*c - 8. Determine -5*k(u) - 4*l(u). -9*u**3 + 103*u**2 Let t = -145036 - -145037. Suppose 0 = u - 2*d - 8, d + d = 4*u - 2. Let x(y) = 3*y - 2. Let a(q) = q - 1. Calculate t*x(l) + u*a(l). l Let j(z) = -6*z - 2. Let f(t) = 269*t - 536*t + 5 + 280*t. What is -4*f(g) - 10*j(g)? 8*g Let c(g) = 5*g**3 + 208*g**2 - 21*g + 2. Let f(d) = -d**3 - 104*d**2 + 9*d - 1. Give -3*c(z) - 7*f(z). -8*z**3 + 104*z**2 + 1 Suppose 5*a + 169 = -2*x, -15 = x + 4*a + 71. Let d = x - -16. Let p(y) = y**2 - 11*y. Let o(v) = 563*v - 764*v + 200*v. Give d*o(g) + 6*p(g). 6*g**2 Suppose -3*s = -2*n + 31, 6 = -2*n + s + 31. Let c(b) = 7*b**2 - n*b + 13*b + 0*b. Let z(u) = u**2 + u. Calculate c(o) - 4*z(o). 3*o**2 - 2*o Let b(c) be the third derivative of -c**6/120 + c**4/24 + 534*c**2. Let w(d) = -d**3 - 4*d. What is -3*b(u) - w(u)? 4*u**3 + u Let s(p) = 183375*p - 4725. Let l(g) = 233*g - 6. Calculate 1575*l(t) - 2*s(t). 225*t Let l(k) = 2*k**3 + k**2 - 3*k - 1. Let p(m) = -2*m**3 - 2*m**2 - 19*m + 3. Give 4*l(w) + 2*p(w). 4*w**3 - 50*w + 2 Let q(r) = -8*r**3 + 8*r**2 - 9*r - 1. Let t be 15/12 - 2*(-3)/8. Let n be (-5 + -1 + 8)/(2/t). Let j(h) = -h**3 + h**2 - h. What is n*q(c) - 18*j(c)? 2*c**3 - 2*c**2 - 2 Let m(r) = 15. Let j(f) = 266*f - 59. Give j(t) + 4*m(t). 266*t + 1 Let v(z) = -4*z**3 - 3*z**2 - 6*z + 117. Let m(h) = -5*h**3 - 4*h**2 - 7*h + 117. Determine 3*m(o) - 4*v(o). o**3 + 3*o - 117 Let j(v) = 24*v - 2. Let s(o) = 14*o - 1. Give -j(i) + 6*s(i). 60*i - 4 Let v(j) = -j**2 + 2*j. Suppose 0*d + d = 3*x + 10, -2*d - 5*x = 13. Let l be (-2 - 0)*d/((-8)/(-8)). Let g(w) = -w. Calculate l*v(k) - 5*g(k). 2*k**2 + k Let k(l) = 20*l + 2875. Let s(q) = -14*q - 1918. What is -5*k(w) - 7*s(w)? -2*w - 949 Let z(n) = 89*n + 23. Let l(x) = -31*x - 8. Give -8*l(k) - 3*z(k). -19*k - 5 Suppose -2*p = 2*p - 4, -4*p - 48 = -v. Suppose 4*a = -4*f - v, -13 = 5*a + 3*f + 44. Let r(d) = d - 2. Let z(t) = -4*t + 9. Calculate a*r(o) - 2*z(o). -o Let j(h) = h**3 - h**2 - h + 1. Let y(c) = -54*c**3 + 42*c**2 + 42*c - 42. Let i = 3829 - 3703. Calculate i*j(d) + 3*y(d). -36*d**3 Let l = -1114 - -1106. Let u(t) = -5*t**3 + 2*t - 1. Let a(s) = -14*s**3 + 6*s - 3. Determine l*u(z) + 3*a(z). -2*z**3 + 2*z - 1 Let f(m) = -m**2 + 55*m + 243. Let h be f(59). Let n(x) = -4*x**3 - 3*x**2 + 4*x - 1. Let u(l) = -9*l**3 - 7*l**2 + 9*l - 3. Calculate h*n(k) - 3*u(k). -k**3 + k + 2 Let j = 12368 - 12376. Let y(l) = -50*l**2 - 9*l - 9. Let b(h) = 75*h**2 + 14*h + 14. Calculate j*y(f) - 5*b(f). 25*f**2 + 2*f + 2 Let r(k) = 154*k**2 - 14*k - 14. Let n(q) = -3 - 3*q - 8*q**2 + 31*q**2 + 8*q**2. Determine -28*n(i) + 6*r(i). 56*i**2 Let c(p) = -3*p + 2. Let z(r) = -6*r + 5. Suppose -3*y + 39 = -n - 38, 0 = -y - n + 31. Suppose -y*g + 30 = -21*g. Calculate g*c(s) - 2*z(s). -3*s Let n(i) = 537*i**2 - 57*i + 7. Let s(u) = u**2 - 8*u + 1. Calculate 2*n(l) - 14*s(l). 1060*l**2 - 2*l Let o(i) = -50*i**2 + 33*i + 356. Let v(s) = 33*s**2 - 21*s - 237. Determine 7*o(a) + 11*v(a). 13*a**2 - 115 Let h(y) = 16*y**3 - 9*y**2 - 42*y + 45. Let b(m) = 4*m**3 - 2*m**2 - 11*m + 12. Determine -15*b(z) + 4*h(z). 4*z**3 - 6*z**2 - 3*z Let b(k) = k. Let t be (-52)/(-494) + 408/456. Let p(y) be the third derivative of 5*y**4/24 + 5*y**3/6 - 2*y**2. Determine t*p(u) - 6*b(u). -u + 5 Suppose 0 = -5*f + 2*l - 34, -2*f = -f + 3*l. Let v(j) = -3*j**2 + 3*j**2 + j**2. Let t(i) = -4*i + 172*i**2 - 82*i**2 - 82*i**2 + 5*i. What is f*v(u) + t(u)? 2*u**2 + u Let q be (-4 - 7/(-1))*1/3. Let r(k) be the second derivative of k**4/12 - 9*k. Let m(t) = -7*t**2 + t + 2. Determine q*m(h) + 5*r(h). -2*h**2 + h + 2 Let n(v) = -4*v**2 + 6*v. Suppose -3*g = 3, 3*u - 3*g - 12 = 9. Let s(z) be the first derivative of -z**3/3 + z**2/2 - 925. Give u*s(p) - n(p). -2*p**2 Let u(g) = -8*g**2 - g. Let r(f) be the third derivative of 7*f**5/60 + f**4/12 + 105007*f**2. Let i = 1 + 1. Calculate i*r(s) + 3*u(s). -10*s**2 + s Let q(f) = 6*f**2 + 9. Let v be 7 + (-52)/4 - -56. Let k(m) = -4*m - 2*m**2 + 4*m - 53 + v. Calculate 17*k(r) + 6*q(r). 2*r**2 + 3 Let x(v) = -54*v**2 + 14. Let i(g) = 36*g**2 + g - 10. What is 7*i(q) + 5*x(q)? -18*q**2 + 7*q Let x(w) = w**2 - 3. Let z(a) = 28*a**2 + 3*a - 23. What is 4*x(v) - z(v)? -24*v**2 - 3*v + 11 Suppose 5*l - 27 = -3*a, 2*a + 11 = -l + 22. Let n(k) be the second derivative of k**4/3 - k**3/3 + 14*k. Let c(f) = 20*f**2 - 11*f. Give a*c(o) - 22*n(o). -8*o**2 Let x(y) = -34*y + 3441. Let o(l) = 6*l - 689. Give 11*o(i) + 2*x(i). -2*i - 697 Let g(u) = -1 + 3 + u + 1. Suppose t + 4 = 5*t + 4*r, -r - 2 = 4*t. Let c be 11803/(-2849) + ((-2)/14)/(-1). Let x(z) = -1. What is c*x(f) + t*g(f)? -f + 1 Let r(u) = 4*u + 8*u**2 - 19 - 19 + 3*u + 37. Suppose -2*y - 35 = -7*y - 4*t, -4*t = 0. Let n(c) = -7*c**2 + 13*c - 19*c - 6 + y. Determine 6*n(j) + 5*r(j). -2*j**2 - j + 1 Let g(s) = 6*s**2 + s + 1. Let r(j) = -20570*j**2 + 110*j + 110. Determine 110*g(p) - r(p). 21230*p**2 Let n(c) = -2111198*c**2 + 15715*c - 3143. Let u(v) = 2686*v**2 - 20*v + 4. Calculate -4*n(f) - 3143*u(f). 2694*f**2 Let j(m) = m + 9. Let y(t) = -41836*t + 19 + 20918*t + 20919*t. What is 9*j(n) - 4*y(n)? 5*n + 5 Let d(a) = -8*a**3 + 21*a**2 + 2*a - 1062. Let q(r) = 3*r**3 - 6*r**2 - r + 354. Determine -2*d(p) - 7*q(p). -5*p**3 + 3*p - 354 Let q(s) = -34 + 95 - 5*s**2 - 33 - 30. Let j(x) = x - 1. Let y(n) = -n**2 - 6*n + 5. Let h(w) = -6*j(w) - y(w). Calculate 6*h(k) + 3*q(k). -9*k**2 Let s(x) = 13*x**2 + 1044*x - 2. Let l(u) = -37*u**2 - 3132*u + 6. Give -6*l(g) - 17*s(g). g**2 + 1044*g - 2 Let u(i) = 324178*i + 3592. Let p(n) = 903*n + 10. Give -1796*p(m) + 5*u(m). -898*m Let p(k) = k**2 + k. Let r(q) = 4*q**2 + 1 - 3*q + 0*q - 3. Suppose -686*o - 1217 + 261 = -208*o. Determine o*p(f) + r(f). 2*f**2 - 5*f - 2 Let x(l) = l**2 + l - 1. Let d(y) = -y**2 - 42*y - 184. Let w be d(-37). Let r(k) = 5*k**2 - 6*k + 5. Calculate w*r(f) + 5*x(f). 10*f**2 - f Let k(u) be the first derivative of -6*u**2 - 7*u - 3603. Let l(t) = -t - 1. Calculate -k(j) + 5*l(j). 7*j + 2 Let v(g) = 4 + 5 - 7*g + 3 - 3. Let b be ((-18)/(-3) + (1 - -2))/(-1). Let o(m) = 2*m - 2. Calculate b*o(a) - 2*v(a). -4*a Let q be (-6)/4 + (-2)/4. Let i(y) = -y**2. Let v(l) = -3*l**2. Suppose -27*x - 30 = -32*x. Suppose 119*g = 113*g + x. Determine g*v(r) + q*i(r). -r**2 Let s(a) = -24*a - 695. Let o be s(-29). Let h(u) = u. Let r(p) = p**3 + p**2 + p + 1. Determine o*r(c) - 4*h(c). c**3 + c**2 - 3*c + 1 Suppose 0 = -3*m + 10 + 5. Let f be (56/14)/((-3)/((-198)/(-11))). Let h(g) = -4*g. Let i(n) = -n. Calculate f*i(a) + m*h(a). 4*a Let m(p) = -7*p**2 + 5*p - 5. Let j(q) = -10*q**2 + 7*q - 7. Let y(v) = 5*j(v) - 7*m(v). Let f(g) = 28*g**2. Determine -6*f(s) - 210*y(s). 42*s**2 Let f(y) = 2*y - 2. Let d be f(0). Let b be 43/9 - 30/(-135). Let k(n) be the first derivative of n**2 - n - 4. Let z(c) = c. Calculate b*z(s) + d*k(s). s + 2 Let v(l) be the first derivative of -37*l**4/4 - 3*l**2/2 - 975. Let o(a) = -445*a**3 - 35*a. What is -3*o(d) + 35*v(d)? 40*d**3 Let w(f) = -3*f**3 - f**2 - 4*f - 1. Let n(l) = -6*l**3 + l**2 - 4*l + 88. Give -n(c) + w(c). 3*c**3 - 2*c**2 - 89 Let g(k) = 9*k - 16. Suppose 4*d - 13 = -m, 0 = -11*d + 14*d - 2*m + 4. Let r(a) = 4*a - 8. Give d*g(z) - 5*r(z). -2*z + 8 Let l(m) be the second derivative of -m**4/12 + 17*m. Suppose 14 - 71 = 19*z. Let t(g) = 4*g**2. Calculate z*t(j) - 16*l(j). 4*j**2 Let j(w) = 44*w - 72. Suppose -18*z = -19*z + 4. Let v(d) = 6 - 6 - 8*d + 9 + z. Let p(x) = 5*j(x) + 28*v(x). Let c(l) = 21*l - 21. Give 2*c(h) + 11*p(h). -2*h + 2 Let p(x) = -4*x**3 - 20*x**2 + 5*x + 5. Let q(j) = -j - 9*j**2 - 291144 + 10*j**2 + 291143. Calculate -p(z) - 5*q(z). 4*z**3 + 15*z**2 Let j(c) = -5*c**2 - 4*c + 319. Let f(g) = -22*g**2 - 18*g + 1276. What is 2*f(m) - 9*j(m)? m**2 - 319 Let l(r) = r**2 + 2*r + 1. Let h(i) = 4*i**2 + 389*i + 11. What is -h(t) + 5*l(t)? t**2 - 379*t - 6 Let o
{ "pile_set_name": "DM Mathematics" }
029 Let q = -30 + 29.971. Let b = q - 1.671. Let u = 1.51 + b. Round u to 1 decimal place. -0.2 Let l = -23967.9999978201 - -23968. What is l rounded to seven decimal places? 0.0000022 Let j = 49561.063 + -49691. Let o = j + -0.063. Let a = o - -129.9999931. Round a to 6 dps. -0.000007 Let d = -591.977075362 + -9.022925658. Let a = d - -601. Round a to 6 dps. -0.000001 Let u = 162 + -336. Let z = u - -173.899. Let b = z - -0.1009943. Round b to six dps. -0.000006 Let b = -1690.5012457 + 1690.5. Round b to four dps. -0.0012 Let f = -59.5 + 58.27. Let i = f + -282.87. Round i to the nearest ten. -280 Let u = 0.5829976338 - 0.583. Round u to 7 decimal places. -0.0000024 Let a = -28.07497 - 0.06103. Let i = 5 - -23. Let p = a + i. Round p to two decimal places. -0.14 Let l = -33 + 43. Let z be (-336)/40 + 4/l. Let g be 119224/z - (-6 + 3). What is g rounded to the nearest one thousand? -15000 Let h be -4 + (260 - (-4 + 5)). Suppose -90 + h = -j. Let b = 1059 + j. Round b to the nearest 100. 900 Let g = 3795.0000256 - 3795. What is g rounded to four decimal places? 0 Let c be (((-28)/3)/((-6)/(-15)))/(286/87945). What is c rounded to the nearest 100? -7200 Let x = 28.87 + -28.8699990352. What is x rounded to 7 dps? 0.000001 Let i = 406200 - 207810. What is i rounded to the nearest ten thousand? 200000 Let f = 0.21959 + -0.237. Let p = 1.05788 + f. Let k = p + -1.04. What is k rounded to four dps? 0.0005 Let a = 256.38 - 256.379944716. What is a rounded to 5 dps? 0.00006 Suppose -2*n - 16 = -4*m - 42, 3*n + 5*m + 16 = 0. Suppose -5*l - 49650000 = n*d, 5*d = -l - 10065267 + 135267. What is l rounded to the nearest 100000? -9900000 Let h = -274.03 + 272. Let j = -2.47185 - -0.44024. Let q = h - j. Round q to four decimal places. 0.0016 Let t = 113064424 + -199394424. Round t to the nearest 1000000. -86000000 Let z = -90 - -147. Let p = -56.9998872 + z. What is p rounded to five dps? 0.00011 Let c = -6952010 + 16377010. Round c to the nearest one million. 9000000 Let j = -12.74 + 1388.74. Let l = 1375.99999383 - j. Round l to six decimal places. -0.000006 Let i be (-1)/4 - (-5622401)/4. Suppose -7*l = -35*l + i. Round l to the nearest 1000. 50000 Let s = 389.961 - 390. Let v = s + -0.028. What is v rounded to 1 dp? -0.1 Let y = 0.015 + 82.985. Let u = y - 79.33. Let w = -0.75 - u. What is w rounded to 0 decimal places? -4 Let f = -123.798 - 602.692. Round f to the nearest ten. -730 Let s = 77 - 11. Let f be (-11)/s - 2087999/6. What is f rounded to the nearest 100000? -300000 Let g = 341.9 - 341.8235. What is g rounded to two dps? 0.08 Let l = 0.7137 - 0.779. Let t = -13.5153 - l. Round t to zero dps. -13 Let r(h) = -h**2 + 21*h + 159. Let b be r(28). Let x(c) = -45*c**3 - 6*c**2 + 87*c + 48. Let j be x(b). What is j rounded to the nearest 100000? 2300000 Let x = 264.9614 - -0.0386. Let f = 263.594 - x. Round f to 1 dp. -1.4 Let x be 3904/48 - (-2)/3. Let q = x + -80. Suppose y + g = -1342, 4*y - 2*g + 5352 = q*g. Round y to the nearest 100. -1300 Suppose 3*u = -5*j + 5, 3*u + j + j = 2. Suppose -11*p + 0*p - 95942 = u. Let c = p - -4832. What is c rounded to the nearest one hundred? -3900 Let j = 613.9418 - -0.0582. Let g = 613.999458 - j. What is g rounded to five dps? -0.00054 Let k = -1.11776 + -0.35797. Let c = 1.487 + k. What is c rounded to four decimal places? 0.0113 Let u = 29494 + -29493.999982817. What is u rounded to six dps? 0.000017 Let t = -0.04170701999 + 289.04170736999. Let m = t + -289. Round m to 7 dps. 0.0000004 Suppose 16 = -4*y + 8*y. Let m be 37/7 + y/(-14). Suppose 7*w - 5*w - 27998 = m*t, 5*t + w = -28001. What is t rounded to the nearest one thousand? -6000 Suppose 3*v + 5*d - 6 - 13 = 0, 0 = 4*d + 16. Let x(z) = z**3 - 2*z**2 + 39*z - 13. Let t be x(v). What is t rounded to the nearest 100? 2400 Let z = -244 - -264. Suppose z*a - 136916830 - 219083170 = 0. What is a rounded to the nearest one million? 18000000 Let s = -1729.05 + 1713. Round s to the nearest 10. -20 Let i = 5008 - 5008.000415. What is i rounded to three decimal places? 0 Let p = -1589 - -1589.00008536. Round p to 5 decimal places. 0.00009 Let v = 13.237002809 - 13.237. Round v to seven dps. 0.0000028 Let k = 18.73935 - -251.25864. Let o = 270 - k. Round o to three dps. 0.002 Let o = -0.5686 + 0.5635724. Round o to five dps. -0.00503 Let x = -47.9 - 36. Let y = -0.1 + x. Let r = y + 86.32. What is r rounded to one dp? 2.3 Let h = -4080.42 - -4172. What is h rounded to the nearest integer? 92 Let l = 0.01 - 80.01. Let k = -90.19 - -170.57. Let y = k + l. Round y to 1 decimal place. 0.4 Let n = 621 - 649. Let w be n/32*-123314 + (-2)/(-8). What is w rounded to the nearest ten thousand? 110000 Let i = 5529655 + -5529659.2999983. Let b = -53.3 - -49. Let s = b - i. Round s to seven decimal places. -0.0000017 Let r = 64101922 - 33003922. Round r to the nearest one million. 31000000 Let c = -3.371 - -3.23. Let q = 1.179 - c. Round q to one dp. 1.3 Let f = 4158.7 - 9677.6. Round f to the nearest ten. -5520 Let h(k) = k**2 - k - 22. Let q be h(5). Let c be (1*12 + q)/((-18)/36). Let n be c/(-4) - (-2 + -5599993). Round n to the nearest one million. 6000000 Let o be -240*((-3879)/(-15))/((-32)/40). Round o to the nearest ten thousand. 80000 Let l = -19167770 - -3575911. Let h(f) = -47648*f**3 - 3*f**2 + f + 5. Let x be h(-6). Let k = x + l. What is k rounded to the nearest 1000000? -5000000 Let z = -189.8321512 - 0.1595488. Let q = -1007 + 1197. Let i = z + q. Round i to three decimal places. 0.008 Let r = 301 - 304.06. Let n = r - -3.0599507. What is n rounded to five decimal places? -0.00005 Let n = 0.143 - 64.643. Let z = 21 + n. Round z to zero dps. -44 Let l = -1181.93 - 1293.8. Let q = l - -2461. What is q rounded to the nearest integer? -15 Let f = 46.39 + -1.39. Let q = 45.00000086 - f. Round q to seven dps. 0.0000009 Let x = -2.4 + 2.61. Let l = -1865 - -1864.877. Let h = l + x. Round h to 2 decimal places. 0.09 Let g = 0.65 - -346.35. Let t = 346.99999444 - g. What is t rounded to 6 dps? -0.000006 Let o = -899.99969308 + 900. What is o rounded to six decimal places? 0.000307 Let j = 339 - 406. Let k = 67.00000334 + j. Round k to seven dps. 0.0000033 Let o = -6079 + 6084.679. Round o to the nearest integer. 6 Let f be (-2076270404)/(-28) + 16/28. Suppose 3*p = 2*z - 58260009, -f = -2*z - 5*p - 15892530. What is z rounded to the nearest 1000000? 29000000 Let g = -81793629 + 173211785. Suppose 0 = 13*z + 16611844 + g. Round z to the nearest one hundred thousand. -8300000 Let m = -199 - -262. Let s = m + -62.999373. What is s rounded to 4 dps? 0.0006 Let c = -771.77 + 10.77. Let x = -760.999551 - c. What is x rounded to 4 decimal places? 0.0004 Let v = 5802177458.0000247 - 5802177021. Let r = v - 437. What is r rounded to 6 decimal places? 0.000025 Let t = -163423.35507 + 163425. Let r = t - 1.63. What is r rounded to three decimal places? 0.015 Let k = -83 - -5.6. Let g = -72 + 161. Let q = g + k. Round q to the nearest integer. 12 Let t = 463.06 + -20.98. Let z = 502.5 - t. Let g = -60 + z. Round g to one decimal place. 0.4 Suppose -3*h + h + 93902 = 0. Let k = 80955 - h. Suppose 4*g - 20 = 0, 3*g - k = 4*s + 41611. Round s to the nearest one thousand. -19000 Let a = -218 + 67. Let w = -89392737 - -89392887.999901. Let i = w + a. Round i to five dps. -0.0001 Suppose -4*n - 24407976 = -2*k, 2*k - 5*n + 36612030 = 5*k. Round k to the nearest one hundred thousand. 12200000 Let b = -631 + 899. Let d = 90 - b. Let p = d + 192.8. Round p to the nearest integer. 15 Let c = -4033382644.63274141761 - 5947573.16725707239. Let m = 4039330239 + c. Let k = m - 21.2. What is k rounded to 7 dps? 0.0000015 Suppose 3*j + 36 = 48. Suppose -12117362 - 37442638 = j*o. What is o rounded to the nearest 1000000? -12000000 Let b = -0.004855525 - -0.00485. What is b rounded to six decimal places? -0.000006 Let y = -0.013 + -0.025. Let k = y + -66.962. Let v = k - -67.00118. What is v rounded to four dps? 0.0012 Suppose -3*u + 3*u - 4*u = 0. Let r be 32/5 - 24/(-40). Suppose -r*w + w - 34740 = u. What is w rounded to the nearest one thousand? -6000 Let z = -8.414 - -8.414014686. Round z to 7 decimal places. 0.0000147 Let h = 0.71 - 3.024. Let c = 2.12 + h. Round c to two decimal pl
{ "pile_set_name": "DM Mathematics" }
t is the greatest common factor of 6204 and 35534444? 2068 Calculate the greatest common factor of 90029728 and 736. 736 Calculate the greatest common divisor of 2376 and 23042448. 2376 Calculate the greatest common factor of 9548 and 3457740. 1364 What is the greatest common factor of 552 and 19075073? 23 What is the greatest common factor of 4247282 and 5590? 1118 What is the greatest common factor of 12 and 8042022? 6 Calculate the highest common factor of 219 and 1102581. 3 What is the greatest common divisor of 168397 and 90041? 19 Calculate the highest common divisor of 1168370 and 118510. 70 What is the greatest common factor of 404874 and 1794? 6 What is the greatest common divisor of 5465 and 746759460? 5465 What is the greatest common factor of 1723 and 30922681? 1723 What is the greatest common factor of 34345530 and 42? 6 Calculate the highest common divisor of 2740407 and 11387. 193 Calculate the highest common divisor of 9988370 and 29300. 2930 What is the greatest common factor of 4330614 and 4131? 51 What is the greatest common factor of 1502 and 514196182? 1502 Calculate the greatest common factor of 4043426 and 2794. 254 Calculate the highest common factor of 260 and 13506935. 65 What is the greatest common factor of 600 and 54462750? 150 What is the greatest common factor of 144651094 and 184? 46 What is the highest common factor of 1968647 and 1197? 19 What is the greatest common divisor of 10767917 and 421? 421 What is the highest common divisor of 41 and 13470263? 41 Calculate the greatest common divisor of 4423720 and 57720. 1480 Calculate the greatest common divisor of 7353 and 501372. 171 Calculate the highest common divisor of 15 and 19565135. 5 What is the highest common divisor of 337393259 and 1526? 763 Calculate the greatest common divisor of 3555 and 27488445. 1185 What is the greatest common divisor of 21390362 and 1336? 334 What is the highest common factor of 174 and 3931414? 58 What is the greatest common factor of 52309 and 288031? 17 Calculate the highest common factor of 9893 and 1297505. 761 Calculate the greatest common divisor of 183954 and 105522. 258 What is the highest common factor of 6130295 and 215? 215 Calculate the highest common factor of 167886 and 7194. 6 What is the highest common divisor of 8030754 and 2613? 201 What is the highest common divisor of 3681584 and 61219? 2111 What is the highest common factor of 131039 and 91745? 59 Calculate the highest common divisor of 1769780 and 374500. 2140 What is the highest common divisor of 5936 and 195367858? 742 Calculate the greatest common factor of 2436 and 193376988. 2436 What is the highest common divisor of 13892445 and 671? 61 Calculate the greatest common divisor of 23393317 and 13837. 101 What is the greatest common divisor of 763 and 274603? 7 What is the greatest common divisor of 163390 and 68? 2 Calculate the highest common factor of 428092 and 1120. 28 Calculate the highest common factor of 1616343 and 85. 17 Calculate the highest common divisor of 105 and 376958085. 105 Calculate the greatest common factor of 748681919 and 402. 67 What is the greatest common divisor of 1590 and 23391285? 795 What is the greatest common divisor of 2865 and 106275? 15 What is the greatest common factor of 993460 and 13000? 260 What is the greatest common divisor of 17904062 and 1232? 22 What is the highest common divisor of 824 and 18935932? 412 Calculate the greatest common factor of 256 and 1350875264. 128 What is the highest common factor of 157221 and 62937? 243 What is the highest common divisor of 889 and 251692? 7 Calculate the greatest common divisor of 6072 and 1213204. 92 Calculate the highest common divisor of 8512 and 8452948. 532 Calculate the highest common factor of 1659 and 351972887. 553 Calculate the highest common divisor of 18256608 and 420. 12 Calculate the highest common divisor of 462231 and 15180. 759 Calculate the highest common divisor of 18261369 and 3528. 441 What is the highest common divisor of 5534368 and 304234? 434 Calculate the greatest common factor of 17328 and 1582883920. 5776 What is the greatest common factor of 576 and 7337136? 48 Calculate the greatest common factor of 1728 and 1931148. 108 Calculate the greatest common factor of 5112 and 216022896. 5112 Calculate the highest common factor of 819 and 1126710. 117 Calculate the highest common divisor of 66077 and 10857. 11 What is the highest common divisor of 38398829 and 3904? 61 Calculate the greatest common divisor of 2044 and 168122066. 1022 What is the greatest common divisor of 595084 and 3944236? 1604 Calculate the highest common factor of 3471 and 401648. 13 What is the highest common divisor of 2755 and 4613105? 95 Calculate the highest common factor of 62706865 and 35. 5 Calculate the highest common divisor of 1974 and 8249017. 329 Calculate the highest common factor of 255069 and 1474. 67 What is the highest common factor of 4864 and 7548448? 32 Calculate the highest common factor of 4365 and 697800540. 1455 Calculate the highest common factor of 550439008 and 16. 16 What is the highest common divisor of 113 and 11896866? 113 Calculate the greatest common factor of 1134361 and 913. 83 Calculate the highest common factor of 18 and 18742743. 9 What is the highest common factor of 45514500 and 532? 76 Calculate the greatest common divisor of 3008 and 11495072. 1504 Calculate the highest common factor of 11958868 and 47. 47 What is the highest common factor of 9789106 and 262? 262 Calculate the highest common divisor of 294164 and 34164. 52 Calculate the greatest common factor of 59 and 16923088. 59 What is the highest common factor of 23717363 and 391? 17 Calculate the greatest common factor of 18254 and 40. 2 What is the greatest common divisor of 6627 and 1655058? 141 Calculate the greatest common factor of 46845 and 22523770. 1735 Calculate the greatest common divisor of 50 and 7548750. 50 What is the highest common divisor of 19845467 and 268? 67 Calculate the greatest common factor of 11 and 28714939. 11 What is the highest common divisor of 60 and 1539140? 20 What is the greatest common factor of 110055 and 11044? 11 Calculate the greatest common factor of 519714 and 123942. 78 Calculate the greatest common factor of 238044 and 5400. 12 What is the highest common factor of 347461 and 966? 23 Calculate the greatest common factor of 9142446 and 2265. 453 What is the greatest common divisor of 36300 and 294580? 220 Calculate the greatest common factor of 2835385 and 39263. 497 What is the highest common divisor of 100865628 and 127602? 7506 Calculate the greatest common factor of 118990546 and 989. 989 What is the greatest common divisor of 2622 and 579234? 114 Calculate the highest common divisor of 48573824 and 1768. 104 What is the greatest common divisor of 6 and 2967788? 2 Calculate the greatest common divisor of 5954848 and 1703984. 6064 What is the greatest common divisor of 149731049 and 1883? 269 What is the greatest common divisor of 959 and 4008483? 137 What is the highest common divisor of 260 and 2210020? 20 What is the greatest common factor of 880 and 8572400? 80 Calculate the highest common divisor of 57580 and 8420. 20 What is the greatest common divisor of 17213226 and 30? 6 Calculate the highest common divisor of 528 and 25038024. 264 Calculate the greatest common factor of 3982510 and 11970. 70 Calculate the highest common divisor of 239495008 and 288. 32 Calculate the highest common divisor of 33 and 27950813. 11 What is the highest common divisor of 64674 and 558? 18 Calculate the highest common factor of 194 and 416232626. 194 What is the greatest common factor of 69811304 and 296? 296 Calculate the greatest common factor of 2805464 and 2696. 8 Calculate the highest common factor of 119379582 and 784. 98 Calculate the greatest common factor of 4760228276 and 17. 17 Calculate the greatest common divisor of 352374 and 344850. 1254 Calculate the greatest common factor of 976739 and 68057. 269 What is the greatest common factor of 1114043784 and 672? 168 What is the highest common divisor of 4586883 and 5? 1 Calculate the highest common divisor of 15 and 77347. 1 Calculate the greatest common divisor of 12714341 and 566. 283 Wh
{ "pile_set_name": "DM Mathematics" }
, -2223, -3201? -4357 What is the next term in -83, -167, -251, -335? -419 What comes next: 15, 80, 189, 342, 539, 780? 1065 What is next in -29, -36, -57, -98, -165, -264, -401? -582 What comes next: 110, 119, 140, 179, 242, 335? 464 What comes next: 2142, 2147, 2150, 2151, 2150, 2147, 2142? 2135 What is the next term in -27, -42, -67, -102, -147, -202, -267? -342 What is the next term in 3, 2, -1, -6, -13, -22, -33? -46 What is the next term in -2734, -5467, -8200, -10933, -13666? -16399 What is the next term in -800, -736, -674, -614? -556 What is next in 798, 797, 796, 795? 794 What is next in 40662, 40661, 40660, 40659, 40658? 40657 What is next in 435, 434, 423, 396, 347? 270 What is next in -341, -391, -441, -491, -541? -591 What comes next: 8, -3, -38, -109, -228, -407, -658, -993? -1424 What is next in -28, -49, -52, -31, 20? 107 What is the next term in 1973, 1974, 1975, 1976, 1977, 1978? 1979 What is next in 3, 0, 1, 6, 15, 28? 45 What is next in -21, -11, 23, 93, 211, 389? 639 What is the next term in -30, -16, 6, 36, 74, 120? 174 What is the next term in -6, -15, -22, -27? -30 What is the next term in -18, -26, -40, -60, -86, -118, -156? -200 What is the next term in -25, -103, -225, -385, -577? -795 What is the next term in -1, -10, -51, -136, -277? -486 What comes next: 1839, 1830, 1821, 1812? 1803 What comes next: -634, -632, -628, -622, -614? -604 What is next in 641, 1280, 1919, 2558, 3197, 3836? 4475 What is the next term in -20, -20, -34, -74, -152? -280 What comes next: -11, -11, -9, -5, 1? 9 What is next in -337, -676, -1015, -1354, -1693? -2032 What is next in 4, -39, -104, -185, -276, -371? -464 What comes next: 152, 142, 120, 80, 16, -78, -208, -380? -600 What comes next: 37, 50, 81, 136, 221, 342? 505 What is the next term in 39, 36, 33, 30, 27? 24 What is next in 51, 97, 147, 201, 259, 321? 387 What comes next: -89, -190, -305, -440, -601, -794, -1025, -1300? -1625 What comes next: -11, -26, -43, -62, -83, -106? -131 What comes next: 21, 62, 127, 222, 353, 526, 747? 1022 What is next in -89, -120, -151, -182, -213, -244? -275 What is next in 1671, 1673, 1675, 1677? 1679 What comes next: 1004, 1002, 1000, 998, 996? 994 What comes next: 210, 309, 408? 507 What is next in 7, -15, -71, -179, -357, -623? -995 What comes next: 1335, 2672, 4009? 5346 What comes next: -17, -3, 23, 61, 111, 173, 247? 333 What is the next term in 93, 358, 797, 1410, 2197, 3158, 4293? 5602 What is next in 43, 59, 49, 1, -97? -257 What is the next term in 6, 7, 8, 9, 10? 11 What is next in -2, 56, 236, 598, 1202? 2108 What is the next term in -33, -250, -839, -1986, -3877, -6698, -10635? -15874 What comes next: -13, -56, -95, -130, -161, -188? -211 What is next in -19, -39, -61, -85, -111? -139 What is the next term in -491, -493, -495, -497, -499, -501? -503 What is the next term in 10, 5, 0, -5, -10, -15? -20 What is next in 91, 89, 87? 85 What is next in 117, 234, 347, 456, 561, 662? 759 What is next in 17, 14, 7, -4? -19 What is next in -39, -77, -115, -153? -191 What is next in 398, 795, 1192, 1589, 1986? 2383 What is next in 371, 365, 359, 353, 347, 341? 335 What comes next: -220, -221, -222, -223, -224, -225? -226 What is the next term in -8, -11, -12, -11, -8? -3 What is the next term in 75, 354, 833, 1512, 2391, 3470, 4749? 6228 What is next in 612, 608, 604, 600, 596, 592? 588 What is the next term in -1504, -1514, -1530, -1552, -1580, -1614, -1654? -1700 What is the next term in -11, -6, 17, 70, 165, 314? 529 What comes next: 56, 231, 528, 947, 1488? 2151 What is the next term in -2710, -2705, -2700? -2695 What is the next term in 4, 16, 34, 58? 88 What is the next term in 420, 846, 1276, 1710, 2148, 2590, 3036? 3486 What is next in 262, 524, 786? 1048 What is the next term in -20254, -40504, -60752, -80998, -101242, -121484? -141724 What is the next term in -133, -271, -411, -553, -697, -843? -991 What is next in -5, -5, -3, 1, 7, 15? 25 What is next in -18, -35, -52, -69? -86 What comes next: -114, -172, -230, -288? -346 What is the next term in 93, 90, 73, 36, -27, -122, -255, -432? -659 What is the next term in -58, -115, -172, -229, -286, -343? -400 What comes next: -22, -21, -20, -19? -18 What is next in -2, 116, 320, 616, 1010, 1508? 2116 What comes next: 156, 309, 454, 591? 720 What is next in -18, -40, -78, -138, -226, -348, -510? -718 What is the next term in -5846, -5844, -5842, -5840? -5838 What is the next term in -58, -49, -18, 47, 158, 327? 566 What is the next term in 173, 347, 521, 695, 869, 1043? 1217 What comes next: 279, 559, 839, 1119, 1399? 1679 What is next in -885, -884, -883, -882, -881? -880 What is the next term in -1, 22, 81, 194, 379, 654, 1037? 1546 What comes next: -63, -64, -65, -66, -67? -68 What is the next term in -247, -492, -737, -982? -1227 What comes next: -7, -75, -197, -379, -627, -947, -1345? -1827 What is next in 285, 1141, 2565, 4557, 7117? 10245 What comes next: 2529, 2530, 2531, 2532, 2533? 2534 What is the next term in -923, -899, -837, -719, -527, -243, 151, 673? 1341 What is next in 90, 93, 84, 57, 6? -75 What is next in 29, 0, -81, -208, -375, -576, -805, -1056? -1323 What is the next term in 390, 1582, 3574, 6366, 9958? 14350 What is the next term in 188, 210, 246, 296, 360, 438? 530 What is next in -17106, -17103, -17104, -17115, -17142, -17191, -17268, -17379? -17530 What is the next term in -3, -28, -79, -162, -283, -448, -663? -934 What is next in -4, -8, -24, -58, -116, -204? -328 What comes next: 25, 40, 75, 136, 229, 360? 535 What comes next: -41, -43, -45, -47, -49? -51 What is the next term in -562, -1121, -1680, -2239? -2798 What is next in 293, 594, 895? 1196 What is next in -3, -2, -3, -6, -11? -18 What comes next: -41, -84, -127, -170? -213 What is the next term in -386, -355, -322, -287, -250, -211? -170 What is the next term in -85, -82, -79, -76? -73 What is next in 732, 691, 652, 615, 580, 547, 516? 487 What is next in 886, 898, 924, 970, 1042, 1146, 1288? 1474 What comes next: -50, -55, -58, -59, -58? -55 What is next in 29, 52, 91, 146, 217? 304 What comes next: -19, -53, -105, -175? -263 What is the next term in 77, 95, 129, 185, 269, 387? 545 What is the next term in -90, -149, -208, -267? -326 What is the next term in 12, 1, -16, -39, -68, -103? -144 What comes next: -1967, -1966, -1965? -1964 What is the next term in 163, 183, 219, 277, 363? 483 What is next in -1403, -2804, -4205, -5606, -7007? -8408 What comes next: -23, -33, -43? -53 What comes next: -911, -3633, -8163, -14495, -22623, -32541, -44243? -57723 What is the next term in -23, -26, -31, -38, -47, -58? -71 What is the next term in -28, -55, -82? -109 What is the next term in -19, -20, -21? -22 What is the next term in -58, -123, -228, -373? -558 What is the next term in -127, -487, -1093, -1951, -3067, -4447, -6097? -8023 What comes next: 37, 45, 59, 79, 105, 137? 175 What is next in -2985, -2987, -2989, -2991? -2993 What is next in 9, 8, 5, 0? -7 What is next in -155, -286, -417, -548, -679? -810 What is next in -22, -39, -82, -163, -294, -487? -754 What comes next: -1255, -2508, -3761, -5014, -6267, -7520? -8773 What comes next: -10, -16, -26, -40, -58, -80? -106 What comes next: 46, 132, 364, 814, 1554, 2656, 4192? 6234 What is next in -231, -471, -717, -975, -1251? -1551 What is next in -876, -877, -878, -879, -880? -881 What is next in 5, 0, -5? -10 What is next in 257, 518, 779, 1040? 1301 What is next in 36, 57, 64, 51, 12, -59? -168 What is next in -50, -79, -94, -89, -58, 5? 106 What is the next term in 9636, 9634, 9632? 9630 What is the next term in -16, -27, -32, -31, -24, -11, 8? 33 What is next in -517, -524, -535, -550, -569, -592? -619 What comes next: -82, -164, -380, -796, -1478, -2492? -3904 What is the next term in 6, -33, -146, -369, -738, -1289? -2058 What comes next: -467, -1903, -4311, -7697, -12067? -17427 What is next in -402, -393, -374, -339, -282? -197 What comes next: -70, -119, -144, -145, -122, -75, -4? 91 What is the next term in -246, -489, -734, -981, -1230? -1481 What comes next: 10, 13, 0, -41, -122, -255, -452, -725? -1086 What comes next: -109, -199, -289, -379? -469 What is next in 53, 90, 127? 164 What is the next term in -39, -53, -69, -87, -107? -129 Wh
{ "pile_set_name": "DM Mathematics" }
Is 10229 a prime number? False Is 1218959 prime? False Is 3194 a prime number? False Is 7901 composite? False Is 96601 a composite number? False Is 76899 a composite number? True Is 126979 a composite number? True Is 17551 a prime number? True Is 37397 a composite number? False Is 4083 a prime number? False Is 7111 a composite number? True Is 67751 a composite number? False Is 2161 a prime number? True Is 105019 a composite number? False Is 12982 composite? True Is 11027 composite? False Is 32539 a prime number? False Is 2938413 a prime number? False Is 4584721 a composite number? False Is 51607 prime? True Is 102433 composite? False Is 56081 prime? True Is 142697 prime? True Is 209831 a prime number? False Is 228089 a composite number? True Is 14227 composite? True Is 311099 composite? False Is 2930789 a prime number? True Is 749491 a prime number? False Is 485311 prime? True Is 432935 composite? True Is 64319 a prime number? True Is 3611 composite? True Is 117013 a prime number? False Is 13751 prime? True Is 25787 a prime number? False Is 5741103 composite? True Is 44041 a prime number? True Is 5197 composite? False Is 972898 prime? False Is 5669 a composite number? False Is 230999 prime? True Is 1641 a composite number? True Is 400443 a prime number? False Is 32567 a composite number? True Is 5669 prime? True Is 168851 composite? False Is 16301 a prime number? True Is 99041 prime? True Is 45286 prime? False Is 2936405 composite? True Is 1961 prime? False Is 22817 prime? True Is 51949 a prime number? True Is 1119 a prime number? False Is 202813 a prime number? False Is 59663 a prime number? True Is 3137 composite? False Is 3809 a prime number? False Is 3261 a prime number? False Is 671107 a prime number? False Is 93781 a composite number? True Is 2927 a prime number? True Is 324797 prime? False Is 23113 a composite number? True Is 90689 a prime number? False Is 1400719 a prime number? False Is 17657 composite? False Is 9961 a prime number? False Is 155605 prime? False Is 1711 prime? False Is 49499 composite? False Is 22339 a prime number? False Is 1155661 a prime number? False Is 17923 a composite number? False Is 4201 composite? False Is 159947 a composite number? True Is 31897 prime? False Is 5163973 a prime number? True Is 331 prime? True Is 641 a composite number? False Is 33791 prime? True Is 6711 composite? True Is 15769 a prime number? False Is 889 a composite number? True Is 24929 a composite number? True Is 34171 a composite number? False Is 31069 composite? False Is 32273 prime? False Is 10211 prime? True Is 2965 prime? False Is 68659 composite? False Is 2789 a composite number? False Is 203578 a prime number? False Is 74569 composite? True Is 22921 a composite number? False Is 4861 a prime number? True Is 198443 a prime number? False Is 108341 a prime number? False Is 2159 composite? True Is 37337 composite? False Is 1903 prime? False Is 4201 a composite number? False Is 157721 a prime number? True Is 112106 a prime number? False Is 217157 a prime number? True Is 1187 prime? True Is 14453 prime? False Is 15859 a prime number? True Is 326651 a prime number? False Is 825647 a composite number? False Is 46069 composite? True Is 1352297 a composite number? True Is 439851 a prime number? False Is 8749 a composite number? True Is 1337 composite? True Is 1151 composite? False Is 111899 a composite number? True Is 25291 a composite number? True Is 600771 a prime number? False Is 1585241 a composite number? True Is 39749 a composite number? False Is 16273 a composite number? False Is 75253 composite? False Is 18218 a composite number? True Is 473001 a composite number? True Is 151873 prime? False Is 137777 a composite number? False Is 33443 a prime number? False Is 1461431 prime? False Is 10871 composite? True Is 6893 composite? True Is 579467 composite? True Is 20507 prime? True Is 32117 a prime number? True Is 8301 composite? True Is 74257 composite? False Is 3076327 a prime number? True Is 71731 a composite number? True Is 237029 prime? False Is 949567 prime? True Is 37379 composite? False Is 304061 prime? False Is 4535 a composite number? True Is 31285 a composite number? True Is 182395 a prime number? False Is 121687 a composite number? False Is 15127 composite? True Is 5163 prime? False Is 289661 prime? False Is 2221 composite? False Is 550367 a composite number? True Is 13415 prime? False Is 170423 a composite number? True Is 2004029 a prime number? True Is 252427 composite? True Is 11279 composite? False Is 466787 a prime number? True Is 15913 a composite number? False Is 1059 a composite number? True Is 20639 composite? False Is 1657 composite? False Is 779 prime? False Is 7451 prime? True Is 157907 a composite number? False Is 17609 a composite number? False Is 51787 prime? True Is 314 a composite number? True Is 131267 a composite number? False Is 21911 prime? True Is 1829389 composite? False Is 977 prime? True Is 9753 prime? False Is 74147 composite? True Is 15693 prime? False Is 3647213 composite? True Is 15259 composite? False Is 13811 a prime number? False Is 4049 prime? True Is 29599 a composite number? False Is 16463 a prime number? False Is 912029 a composite number? True Is 1649507 prime? True Is 491657 a composite number? True Is 10913 composite? True Is 884447 composite? True Is 100237 a prime number? True Is 16183 a composite number? False Is 4939 a prime number? False Is 152183 a prime number? True Is 6385 a prime number? False Is 13507 prime? False Is 17291 a composite number? False Is 40735 a composite number? True Is 7819 a prime number? False Is 4979 prime? False Is 3353 a prime number? False Is 8306 a composite number? True Is 3671 prime? True Is 1146881 composite? False Is 30883 a composite number? True Is 538937 a composite number? True Is 2014661 a composite number? True Is 48797 prime? False Is 2119 a prime number? False Is 642305 a prime number? False Is 5939 prime? True Is 979 a composite number? True Is 92405 a composite number? True Is 2315905 a composite number? True Is 3216751 a prime number? True Is 35963 composite? False Is 22051 composite? False Is 276581 prime? True Is 110089 a composite number? True Is 57871 composite? True Is 73909 a prime number? False Is 76943 a prime number? True Is 901471 composite? False Is 911 a composite number? False Is 325867 a prime number? False Is 14051 prime? True Is 57637 a prime number? True Is 177 prime? False Is 1023133 a composite number? False Is 128813 prime? True Is 1181 a prime number? True Is 58361 composite? True Is 348911 prime? True Is 1481 a composite number? False Is 79687 a composite number? False Is 4553 a prime number? False Is 13523 composite? False Is 12171 prime? False Is 154811 a composite number? True Is 18589 a composite number? True Is 113683 a composite number? False Is 1717 a prime number? False Is 5533 prime? False Is 173623 a prime number? False Is 17903 a prime number? True Is 3314 prime? False Is 182633 composite? True Is 244837 composite? False Is 5737 a prime number? True Is 1336487 prime? True Is 1937 composite? True Is 13207 prime? False Is 31469 a prime number? True Is 3389 a prime number? True Is 6428303 a composite number? True Is 20477 a composite number? False Is 709 a prime number? True Is 40699 a prime number? True Is 1594 prime? False Is 326195 composite? True Is 16129 composite? True Is 2855 prime? False Is 139393 prime? True Is 4981 a composite number? True Is 3276453 composite? True Is 827249 prime? False Is 5907035 prime? False Is 62209 prime? False Is 53773 a prime number? True Is 253235 prime? False Is 13859 prime? True Is 8513 prime? True Is 112973 prime? False Is 1757 prime? False Is 32353 a prime number? True Is 817 a composite number? True Is 10369 prime? True Is 5469 a prime number? False Is 146191 a composite number? False Is 47983 a prime number? False Is 10167 a composite number? True Is 22667 composite? True Is 129527 a prime number? True Is 98773 a composite number? False Is 104863 a composite number? True Is 250889 composite? False Is 5447 composite? True Is 41291 prime? False Is 260399 a prime number? True Is 20647 composite? True Is 168743 composite? False Is 608873 a composite number? False Is 4867 a
{ "pile_set_name": "DM Mathematics" }
5741*l + 122 - 122 - 5741*l. -53*l**3 Collect the terms in 95689 - 95689 + 4*j**2. 4*j**2 Collect the terms in 3*q + 30*q + 2 - 2 - 4*q - 9*q. 20*q Collect the terms in -6*d**2 + 184*d**2 - 725*d**2 - 635*d**2. -1182*d**2 Collect the terms in 65*c**2 - 128*c**2 + 68*c**2. 5*c**2 Collect the terms in -1 + 1 - 55*u**3 + 568*u**3. 513*u**3 Collect the terms in -12053051*i**2 - 56*i**3 + 12053051*i**2. -56*i**3 Collect the terms in -2 + 433*c + c**3 + 12 - 419*c. c**3 + 14*c + 10 Collect the terms in 132*y**3 - 501*y**3 - 356*y**3 + 105*y**3. -620*y**3 Collect the terms in -294*w + 73*w + 193*w. -28*w Collect the terms in 7 + 4 - 11 + 109*a**2. 109*a**2 Collect the terms in 996*l**3 + 3 - 2 - 328*l**3 - 332*l**3 - 337*l**3. -l**3 + 1 Collect the terms in -2*l**2 - 254*l**3 + 105*l**3 - 100*l**3 + 2*l**2. -249*l**3 Collect the terms in 3*s**3 + 15*s**3 + 3*s**3 - 7*s**3 + 23*s**3. 37*s**3 Collect the terms in -125*l**2 - 356*l**2 - 424*l**2. -905*l**2 Collect the terms in 55*i - 33*i - 21*i. i Collect the terms in -569*c**2 + 28 - 28 + 257*c**2. -312*c**2 Collect the terms in 13 + 4 - 3 - 81*u**2 - 14. -81*u**2 Collect the terms in -1514*g**2 + 937*g**2 + 12282*g**2. 11705*g**2 Collect the terms in 16*t**3 + t**3 - 49*t**3 + 11*t**3. -21*t**3 Collect the terms in 69*l**3 + 63*l**3 + 18*l**3. 150*l**3 Collect the terms in 78300*l + 78295*l + 799*l**2 - 156595*l. 799*l**2 Collect the terms in 48*j + 2*j + 27*j + 69*j. 146*j Collect the terms in 108*v + 94*v**2 - 219*v + 109*v. 94*v**2 - 2*v Collect the terms in -2*h**3 - 6 - 6*h**3 + 9 - 4 - h**3. -9*h**3 - 1 Collect the terms in 6*d + 14*d + 4*d - 25*d + 45 + 10. -d + 55 Collect the terms in -2 + 258*i - 127*i - 1040*i. -909*i - 2 Collect the terms in -4*x**3 - 1608445 + 1608445. -4*x**3 Collect the terms in -4218*x**3 - 2*x**2 + 2*x**2 + 0*x**2 + 4222*x**3. 4*x**3 Collect the terms in -5*p + 2*p + 10239 + 11*p - 10239. 8*p Collect the terms in 44*d**3 + 54*d**3 + 3*d - 143*d**3 - 3*d + 54*d**3. 9*d**3 Collect the terms in -2348 + 3*x - 2926 - 3*x + x. x - 5274 Collect the terms in -146*l**2 - 47*l**2 - 19 + 19. -193*l**2 Collect the terms in 292*j**3 - 863*j**3 + 297*j**3 + 281*j**3. 7*j**3 Collect the terms in -188*g**3 + 332*g**3 - 120*g**3. 24*g**3 Collect the terms in 8 - 8 - 1144*s**2 + 2287*s**2 - 1165*s**2. -22*s**2 Collect the terms in -11 - 334883*o**3 + 11. -334883*o**3 Collect the terms in 12*b**2 - 11*b**2 + 1437*b + 4367*b - 1. b**2 + 5804*b - 1 Collect the terms in -111408*f**2 - 111664*f**2 + 223071*f**2. -f**2 Collect the terms in -182*c - 149*c - 189*c + 518*c. -2*c Collect the terms in -4627068446*o - 2*o**3 + 4627068446*o. -2*o**3 Collect the terms in -857*r**2 + 245*r**2 + 416*r**2. -196*r**2 Collect the terms in -14*c**2 - 3567*c + 3567*c + 1 - 1. -14*c**2 Collect the terms in h**2 - 129*h + 466*h - 121*h - 127*h - 89*h. h**2 Collect the terms in 772*z - 296*z - 234*z - 234*z. 8*z Collect the terms in 11417*t + 11413*t - 22830*t + 7*t**3 - 4*t**3. 3*t**3 Collect the terms in -6*c**2 - 198 + 42 + 44 + 112. -6*c**2 Collect the terms in -64*l**3 - 123*l**2 + 123*l**2 + 2192*l**3. 2128*l**3 Collect the terms in -2225*c**2 + 9 - 670*c**2 + 701*c**2 - 7. -2194*c**2 + 2 Collect the terms in 19*y**3 + 102134 - 102134. 19*y**3 Collect the terms in -10*r**2 - 5 + 5 - 8*r**2 + 0. -18*r**2 Collect the terms in 42*g**2 + 26*g**2 - 38*g**2 - 25*g**2. 5*g**2 Collect the terms in -299557*v + 3*v**3 + 599118*v + 0*v**3 - 299561*v. 3*v**3 Collect the terms in 29*t - 163*t - 935*t + 19*t - t**2. -t**2 - 1050*t Collect the terms in -3*k + 7*k + 8*k - 13*k - 2*k. -3*k Collect the terms in 315*d**3 + 158*d**3 + 312*d**3 - 256*d**3. 529*d**3 Collect the terms in -4*g**3 - 222587*g + 222587*g. -4*g**3 Collect the terms in 470 - 1068 + 598 + z**3. z**3 Collect the terms in 32051*g**3 + 32133*g**3 - 64181*g**3. 3*g**3 Collect the terms in -1233 + 48961*f**2 - 48960*f**2 + 218. f**2 - 1015 Collect the terms in 68*z + 113*z - 131*z - 276*z - 285*z. -511*z Collect the terms in -2*d + d + 0 - 22 + 9. -d - 13 Collect the terms in 1212*c + 1187*c - 3586*c + 1186*c. -c Collect the terms in 4373226*c**2 - 2186615*c**2 - 2186611*c**2 + 18*c**3. 18*c**3 Collect the terms in -123 - 104 - 118 - 5*k + 345. -5*k Collect the terms in 21*u - 12*u - 72*u - 52*u - 2. -115*u - 2 Collect the terms in -430*r**2 + 313 + 431*r**2 + 191. r**2 + 504 Collect the terms in 5*x**2 - 684 - 686 - 687 + 2057. 5*x**2 Collect the terms in 2*x + 571 - 1220 + 544. 2*x - 105 Collect the terms in 30 - 169*w - 131*w + 103*w. -197*w + 30 Collect the terms in -312*g**2 - 57*g**2 - 9*g**2. -378*g**2 Collect the terms in -345*c**3 - 85931*c + 85931*c. -345*c**3 Collect the terms in -21*w + 12*w**2 + 12*w + 11*w - 2*w. 12*w**2 Collect the terms in 857*j + 902*j - 1706*j. 53*j Collect the terms in -92*i**3 + 28*i**3 + 66*i**3. 2*i**3 Collect the terms in -625 + 3*y + 1257 - 618. 3*y + 14 Collect the terms in -675*p - 42111*p**2 + 675*p + 42137*p**2. 26*p**2 Collect the terms in -53*z**2 + 16945*z + 50*z**2 - 16945*z. -3*z**2 Collect the terms in -82 + 364*o - 82 + 164. 364*o Collect the terms in -3*q**2 - 50 + 3*q**2 + 391*q**3 + 0*q**2. 391*q**3 - 50 Collect the terms in 2*f + 64*f**2 + 82 - 81 + 79*f**2. 143*f**2 + 2*f + 1 Collect the terms in 11942*h**2 + 1507*h**2 + 2390*h**2. 15839*h**2 Collect the terms in 412*w**2 + w**2 - 449*w**2. -36*w**2 Collect the terms in -5*v**3 + 15*v**3 + 349*v**2 - 349*v**2. 10*v**3 Collect the terms in -3334*v - 16 - 2556*v + 16. -5890*v Collect the terms in 140*p**3 + 365*p**3 - 170*p**3. 335*p**3 Collect the terms in -1 + 1 + 48*l + 41*l - 36*l. 53*l Collect the terms in 21 - 17 + 2*n - 8 + 17. 2*n + 13 Collect the terms in 2*i**2 - 436*i**3 + 0*i**2 + 420*i**3 - 2*i**2. -16*i**3 Collect the terms in -314703*y**2 + 630372*y**2 - 315666*y**2. 3*y**2 Collect the terms in 540*p**2 + 579*p**2 + 540*p**2 + 543*p**2 + 534*p**2 - 2735*p**2. p**2 Collect the terms in 2417 + o**2 - 1089 - 1328 - 3*o**2. -2*o**2 Collect the terms in -8*i**3 + 5040643 - 5040643. -8*i**3 Collect the terms in 125 + 131 + 30*f**3 + 9*f**3 - 256 - 13*f**3. 26*f**3 Collect the terms in i**3 - 585054*i**2 + 292518*i**2 + 292536*i**2. i**3 Collect the terms in -283139 + 123*k + 283139. 123*k Collect the terms in -10*c - 4*c - 9 - 20*c. -34*c - 9 Collect the terms in 4 - 1 - 2 + 2 + 24 - 3*y**2. -3*y**2 + 27 Collect the terms in 1032*w**2 - 5 + 3 - 178*w**2 + 3. 854*w**2 + 1 Collect the terms in -1977 + 1977 - 3*l - l. -4*l Collect the terms in -20*z - 6 + 42*z - 20*z - 18. 2*z - 24 Collect the terms in -1015*m**3 - 321*m**3 - 1336*m**3. -2672*m**3 Collect the terms in -4 + 71060*t + 4 + 5*t**2 - 71060*t. 5*t**2 Collect the terms in -193*n**2 + 109*n**2 - 9*n**2 - 306*n**2. -399*n**2 Collect the terms in -3988*t**3 + 0 - 3982*t**3 + 0 + 7965*t**3. -5*t**3 Collect the terms in 7363*i + 7365*i - 14736*i. -8*i Collect the terms in -11*z**3 + z**3 - 39 - 5 + 11 - 31. -10*z**3 - 64 Collect the terms in -3*y + 4062 - 2*y + 4*y + 0*y + 2*y. y + 4062 Collect the terms in 3 + 51*k - 49*k + 3*k**2 - k**2 + 17*k**2. 19*k**2 + 2*k + 3 Collect the terms in -26*p**2 + 995*p**3 + 13*p**2 + 13*p**2 - 489*p**3. 506*p**3 Collect the terms in -26*b**3 - 43*b + 48*b - 5*b. -26*b**3 Collect the terms in -6*s**2 - 46555 + 2*s**3 + 6*s**2 - 46561 + 93116. 2*s**3 Collect the terms in -2158 - 76*y + 1140 + 1018. -76*y Collect the terms in -3485*a + 3479*a + 5 - 5. -6*a Collect the terms in 16*f**2 + 8*f**2 - 39*f**2 + 10*f**2 + 13*f**2. 8*f**2 Collect the terms in 10901*g + 10859*g - 21734*g. 26*g Collect the terms in -274*o**2 + 56*o**2 + 198*o**2. -20*o**2 Collect the terms in -2*r**2 + 475*r - 475*r - 18. -2*r**2 - 18 Collect the terms in 2*n + 38 + 70 - 92 + 330. 2*n + 346 Collect the terms in -16*j**2 + 1 - 2*j**2 + 12 + 36*j**2 - 17*j**2. j**2 + 13 Collect the terms in 1893334 + 9*a - 1893334. 9*a Collect the terms in 87832*j**3 + j - 87810*j**3 - j. 22*j**3 Collect the terms in -261*b + 30681210*b**2 - 30681218*b**2 + 261*b. -8*b**2 Collect the terms in -17 + 3 + 13 + 3*l**2. 3*l**2 - 1 Collect the terms in 141 - 4094*t - 1273*t - 141. -5367*t Collect the terms in -592*j**2 + 257*j**2 + 833*j**2. 498*j**2 Collect the terms in -81*m**3 + 10*m**3 + 306 - 33 +
{ "pile_set_name": "DM Mathematics" }
nator of 43/14569 and 3/17? 14569 What is the common denominator of 133/3660 and -109/100? 18300 Calculate the least common multiple of 215576 and 24. 646728 What is the common denominator of -46/48561 and 107/97122? 97122 What is the lowest common multiple of 80154 and 6588? 480924 Calculate the least common multiple of 21 and 50787. 355509 Calculate the common denominator of -29/12 and 81/844. 2532 What is the common denominator of 151/311610 and 61/20? 623220 Calculate the lowest common multiple of 13275 and 150. 26550 Calculate the least common multiple of 1449 and 1610. 14490 Find the common denominator of -59/3 and -73/45351. 45351 Find the common denominator of -73/4 and -39/1988. 1988 Calculate the common denominator of 143/31788 and -59/198. 349668 Calculate the common denominator of -7/16825 and -39/200. 134600 Calculate the smallest common multiple of 2040 and 2380. 14280 Calculate the lowest common multiple of 56 and 11438. 45752 Calculate the common denominator of 95/8 and 107/3498. 13992 What is the common denominator of 59/845640 and 74/317115? 2536920 What is the smallest common multiple of 90 and 3195? 6390 Find the common denominator of 3/7598 and -1/3886. 509066 What is the lowest common multiple of 352 and 29792? 327712 What is the lowest common multiple of 99 and 87054? 261162 What is the common denominator of 11/44604 and 65/4? 44604 What is the common denominator of -67/11916 and 179/180? 59580 Calculate the smallest common multiple of 276 and 2576. 7728 Calculate the smallest common multiple of 6223 and 8890. 62230 Find the common denominator of 49/1320 and -149/10560. 10560 What is the least common multiple of 25308 and 15466? 278388 Calculate the lowest common multiple of 1210 and 1178. 712690 Find the common denominator of 93/416 and 41/68692. 549536 What is the least common multiple of 1015 and 6090? 6090 Calculate the least common multiple of 4056 and 1690. 20280 What is the least common multiple of 1710 and 12996? 64980 What is the lowest common multiple of 288 and 579056? 10423008 What is the common denominator of -6/92807 and -37/84370? 928070 What is the lowest common multiple of 27872 and 20? 139360 Find the common denominator of -173/966 and -71/1501716. 10512012 Calculate the least common multiple of 15 and 2241759. 11208795 Calculate the common denominator of -18/7 and 10/112959. 112959 What is the lowest common multiple of 19220 and 15376? 76880 What is the least common multiple of 124184 and 1720? 620920 What is the lowest common multiple of 490 and 5733? 57330 Find the common denominator of 32/385 and -121/203370. 15659490 Calculate the least common multiple of 44198 and 14014. 574574 What is the least common multiple of 58014 and 14064? 464112 Calculate the common denominator of 83/5260 and 65/271416. 1357080 Find the common denominator of 51/592 and 93/934. 276464 Calculate the common denominator of -173/69426 and 179/21546. 624834 Calculate the smallest common multiple of 23786 and 10. 118930 What is the common denominator of -2/1175 and 41/235? 1175 What is the lowest common multiple of 26365 and 5? 26365 Find the common denominator of 55/4 and -49/134934. 269868 What is the least common multiple of 5700 and 38760? 193800 Calculate the lowest common multiple of 2490080 and 315200. 24900800 Calculate the common denominator of -167/16770 and 44/2385. 2666430 What is the lowest common multiple of 35036 and 76? 35036 What is the common denominator of -94/111255 and 29/175? 3893925 Calculate the lowest common multiple of 147 and 130704. 914928 What is the common denominator of -25/2 and -5/1962601? 3925202 Find the common denominator of 23/3582 and 21/8. 14328 Calculate the common denominator of -37/7100 and 107/1420. 7100 Calculate the common denominator of -50/13283 and -25/259. 92981 Calculate the smallest common multiple of 18 and 1777842. 1777842 What is the common denominator of 22/1017 and -44/675? 76275 Calculate the smallest common multiple of 36 and 1053212. 9478908 What is the common denominator of -37/96770 and 73/58062? 290310 Calculate the common denominator of -101/10682 and 121/45780. 320460 Calculate the lowest common multiple of 52920 and 14112. 211680 What is the common denominator of -31/495 and -58/6183? 340065 Calculate the smallest common multiple of 84408 and 84408. 84408 What is the common denominator of -5/10208 and -1/194880? 2143680 What is the lowest common multiple of 20 and 65592? 327960 Calculate the lowest common multiple of 97 and 2014. 195358 Calculate the smallest common multiple of 150 and 1060. 15900 What is the lowest common multiple of 693 and 6489? 71379 What is the common denominator of -13/25 and -113/81470? 407350 Find the common denominator of 43/98 and -59/546. 3822 What is the common denominator of -23/17589 and -103/38376? 422136 What is the common denominator of 11/74562 and -23/8772? 149124 Calculate the smallest common multiple of 178760 and 10. 178760 Calculate the common denominator of 157/79620 and -28/9. 238860 Calculate the least common multiple of 20 and 4262252. 21311260 What is the smallest common multiple of 8439 and 6? 16878 Calculate the common denominator of -83/4930 and -133/2958. 14790 What is the lowest common multiple of 15 and 36009? 180045 Calculate the common denominator of 131/143550 and -48/1925. 1004850 What is the smallest common multiple of 29 and 1389? 40281 What is the lowest common multiple of 67020 and 36? 201060 Calculate the least common multiple of 27664 and 180880. 2351440 Calculate the lowest common multiple of 990 and 51570. 567270 Find the common denominator of 133/144 and -19/3696. 11088 Calculate the lowest common multiple of 419395 and 10. 838790 Calculate the common denominator of 79/14464 and -10/113. 14464 What is the common denominator of 95/12 and 89/1590428? 4771284 What is the smallest common multiple of 37962 and 12654? 37962 Calculate the lowest common multiple of 4424 and 112. 8848 What is the common denominator of -44/22057 and 3/161? 22057 Find the common denominator of -10/47553 and -74/38907. 427977 What is the lowest common multiple of 5964 and 1806? 256452 Calculate the smallest common multiple of 106022 and 252. 1908396 Calculate the least common multiple of 11 and 53913. 593043 Calculate the lowest common multiple of 175770 and 3402. 527310 What is the common denominator of -93/15580 and 83/130? 202540 Calculate the lowest common multiple of 232935 and 87. 6755115 Calculate the lowest common multiple of 6180 and 3960. 407880 What is the common denominator of -107/384 and 31/19008? 38016 Calculate the common denominator of -14/5 and -38/96685. 96685 Calculate the common denominator of 33/16 and 43/175712. 175712 Calculate the lowest common multiple of 14 and 520514. 3643598 Find the common denominator of -13/11 and 101/60950. 670450 Find the common denominator of 61/4216 and 91/9280. 4890560 What is the common denominator of -101/10608 and 47/546? 74256 Calculate the common denominator of 73/28126 and 79/1394. 478142 What is the smallest common multiple of 105278 and 368473? 736946 What is the smallest common multiple of 847067 and 253? 9317737 Calculate the common denominator of -59/7052 and -23/135. 952020 Calculate the common denominator of 33/64 and 131/11328. 11328 What is the lowest common multiple of 42 and 145670? 437010 Find the common denominator of -95/421542 and 49/22. 421542 Calculate the least common multiple of 37632 and 384. 37632 What is the common denominator of -109/19920 and 167/29880? 59760 What is the lowest common multiple of 4114 and 211871? 423742 What is the common denominator of -107/40 and 31/2872? 14360 Calculate the common denominator of -145/3204 and 59/17088. 51264 Calculate the smallest common multiple of 190 and 432. 41040 Calculate the common denominator of -97/700854 and -141/2870. 3504270 Find the common denominator of -62/9 and 10/16201. 145809 What is the common denominator of 59/11895 and -88/45? 35685 Calculate the common denominator of -88/6345 and 91/16920. 50760 Find the common denominator of 26/93447 and -113/36. 373788 Find the common denominator of 79/464254 and -37/33161. 464254 Find the common denominator of 77/18411 and 49/5814. 110466 What is the
{ "pile_set_name": "DM Mathematics" }
*v - 10653894*i + 11294*v wrt v? -201*i + 11294 Differentiate 29*h**2*y**2 + 16*h**2 + 2315*h*y**2 + 6539377*y**2 + 6*y wrt h. 58*h*y**2 + 32*h + 2315*y**2 Differentiate -9200808*h*t - 97929*t wrt h. -9200808*t Find the third derivative of -719419654*b**6 + 5*b**2 + b + 14942188. -86330358480*b**3 What is the first derivative of -243910783*b + 86438883? -243910783 Find the third derivative of 3*j*l**3*z + 12147*j*l**2*z + 609*j*v + 3*l**3*v*z - 295964*l**3*v + 3*l**2*v + 2*l*v*z wrt l. 18*j*z + 18*v*z - 1775784*v What is the third derivative of 1793*b**3*c*h**3 + 410*b**3*h**3 + 2*b**2*c*h**3 + 1244*b**2*c*h**2 - 2*b**2*c*h + b*c*h - b*c - 9*b*h**3 wrt b? 10758*c*h**3 + 2460*h**3 What is the third derivative of -3898974*k**3*w**2 + 3*k**2*w**2 - 565*k**2 + 2*k*w**2 + k + 6*w wrt k? -23393844*w**2 What is the third derivative of -1136552740*x**4 + 51066*x**2 - 151*x + 1 wrt x? -27277265760*x Differentiate 53110089*o - 25880388 wrt o. 53110089 Find the first derivative of -3*g*w**2 - 12993*g*w + 425*g + 87*w**2 - 35858*w + 1 wrt g. -3*w**2 - 12993*w + 425 Differentiate -48350671*u**2 + 39597908 wrt u. -96701342*u What is the derivative of -26361739*c**3 + 76703415 wrt c? -79085217*c**2 Find the third derivative of 181203*v**3*w + 4*v**3 + 243*v**2*w + v**2 + 2*v*w - 124 wrt v. 1087218*w + 24 What is the second derivative of -5*h**5 - 60841*h**2 - 265813*h? -100*h**3 - 121682 Find the second derivative of 4*b*v**2*y**2 + 2*b*y**2 + 24215*b - 5925813*v**2*y**2 + 2*v*y**2 - 241*y**2 wrt v. 8*b*y**2 - 11851626*y**2 What is the third derivative of 78234*b**4 + 22*b**3 - 1346095*b**2 - b wrt b? 1877616*b + 132 Find the second derivative of 21*n*o**3 + 72*n*o**2 - 2*n*o - 3118*o**2 + 25479812*o wrt o. 126*n*o + 144*n - 6236 Find the second derivative of 98204*f**4 + 46*f**2*z**3 + 7383*f*z + 973*z**3 - 1 wrt f. 1178448*f**2 + 92*z**3 What is the third derivative of c**2*w**3 + 2*c**2*w**2 - 41*c**2*w + 4516*c**2 - 794328*c*w**3 + c - 15*w**3 + 2*w wrt w? 6*c**2 - 4765968*c - 90 What is the second derivative of -10*r**5 + 1112045*r**4 + 9534581*r - 2? -200*r**3 + 13344540*r**2 What is the derivative of 6885*g*m + 19026*g*q**2 - 9*m**2*q**2 + 4310*m**2 + 72*q**2 wrt q? 38052*g*q - 18*m**2*q + 144*q Find the third derivative of 14*c**2*u**5 - 2*c**2*u**2 - 6*c**2 - 3*c*u - 3778*c - 193200*u**6 wrt u. 840*c**2*u**2 - 23184000*u**3 Differentiate 410*u*w**2 + 474807*u*w + 152689352*w**2 with respect to u. 410*w**2 + 474807*w Find the third derivative of 24678*n**4 + 420*n**3 - 14472*n**2 - 1942. 592272*n + 2520 Differentiate 1098864*j**3*q**2 + 8874226*q**2 + 2*q - 3 wrt j. 3296592*j**2*q**2 Differentiate -130523*u**4 + 95*u**2 - 248634891 with respect to u. -522092*u**3 + 190*u What is the derivative of -1971*m*u - m*v**2 + 351*m - 4*u**4*v - 68*u*v**2 - 159*v wrt u? -1971*m - 16*u**3*v - 68*v**2 What is the first derivative of -37913*m*r + 14*m - 21*r + 105907 wrt r? -37913*m - 21 What is the third derivative of i**3*k**3 + 933377*i**3*k**2 + 2*i**2*k**3 + 5733*i**2*k**2 - 4*k - 3 wrt i? 6*k**3 + 5600262*k**2 Differentiate 3384831*l**2 + 29316035 wrt l. 6769662*l Differentiate -2875*d**4 - 585*d*p**3 + 27411*p**3 - 86 with respect to d. -11500*d**3 - 585*p**3 Find the third derivative of -1576*b**6 + 201*b**5 + 3*b**3 - 47795312*b**2 wrt b. -189120*b**3 + 12060*b**2 + 18 Find the third derivative of -71112071*k**4 - 150889*k**2 - 2*k - 127 wrt k. -1706689704*k Differentiate -n*r**3 + 26430*n*r + 493*n - 57347237*r**3 wrt n. -r**3 + 26430*r + 493 Find the first derivative of 517729472*u + 12877857 wrt u. 517729472 What is the third derivative of 7*n**4 + 3*n**3*y - 1443348*n**3 + 2*n**2*y + 9*n**2 - 3*n*y + 3*n + 529*y + 65 wrt n? 168*n + 18*y - 8660088 Differentiate 22332*h**3*l**2 + 52*h**3 - 945846802*l**2 wrt h. 66996*h**2*l**2 + 156*h**2 What is the first derivative of 7450808*v**3 + 11021658 wrt v? 22352424*v**2 Find the first derivative of -i**4 - 874*i**3 + 5250*i - 219774852 wrt i. -4*i**3 - 2622*i**2 + 5250 Differentiate -141672443*c + 143663959 wrt c. -141672443 What is the derivative of -2*b**2*m + 12587903*b**2 + b*m - 70357812*m wrt b? -4*b*m + 25175806*b + m Find the first derivative of -1573*f**2*n**3 + 406*f**2*n + 5*f**2 + f*n - 93*f - 2893 wrt n. -4719*f**2*n**2 + 406*f**2 + f Find the third derivative of 34752787*j*m**3 + 872*j*m + 545*m**2 + 2*m wrt m. 208516722*j What is the second derivative of 453*k**5 - 387*k**3 - 15*k**2 - 31403470*k wrt k? 9060*k**3 - 2322*k - 30 What is the derivative of -501858521*v + 772141339 wrt v? -501858521 Find the third derivative of -12481059*h**6*y**2 + h**3*y**2 - 49*h**2*y**2 + 3152*h**2*y + 2*h**2 - 6*y**2 - y wrt h. -1497727080*h**3*y**2 + 6*y**2 Find the second derivative of 559132638*b**2 + 484976515*b wrt b. 1118265276 What is the second derivative of -136262251*z**2 - 739248153*z wrt z? -272524502 What is the second derivative of -111805411*y**2 - 120109*y - 71 wrt y? -223610822 Find the first derivative of -2*f**2 + 6713841*f - 11192450 wrt f. -4*f + 6713841 Find the second derivative of -16498573*g**2 + 101306749*g wrt g. -32997146 What is the third derivative of 2*k**5 + 28149422*k**3 + 63*k**2 + 2275*k - 113 wrt k? 120*k**2 + 168896532 What is the third derivative of 7784246*d**3 - 585*d**2 - 52*d - 20 wrt d? 46705476 What is the second derivative of -51*p**3*v**3 - 4553*p**3*v + 155*p**3 - 34751*v**5 - 3*v wrt v? -306*p**3*v - 695020*v**3 Find the second derivative of 2215*k**2*z - 1256*k**2 - 911*k*z - 14339*z wrt k. 4430*z - 2512 What is the second derivative of 426466489*c**4*x + 72793*c*x + 10*c + 91*x wrt c? 5117597868*c**2*x What is the second derivative of 16882*f*p**2*w + 597*f*p*w**3 - f*p*w + 16214*f - 87*p**2*w**3 + 48*p**2 wrt p? 33764*f*w - 174*w**3 + 96 What is the third derivative of -2*q**3*u**3 + 3285*q**3*u**2 - 4*q**3*u + 54*q**2*u**2 - u**3 - u**2 + 1987 wrt q? -12*u**3 + 19710*u**2 - 24*u Find the second derivative of -18199145*m**2*w + 1298*m*w + 7*m - 19*w wrt m. -36398290*w What is the derivative of -1533*v*w - 189618148*v - 5442*w**2 wrt w? -1533*v - 10884*w Find the second derivative of -108*r**3*u + 14*r**3 + 80*r**2*u - 32*r**2 + 2*r*u - 2*r - 123029004*u wrt r. -648*r*u + 84*r + 160*u - 64 Differentiate 12*i**2*m + 538*i**2*y**2 - 8*i**2 + 169959*i*m - 132278*i*y - 3*m*y**2 + 4 with respect to y. 1076*i**2*y - 132278*i - 6*m*y Find the first derivative of -10*s**3 - s**2 - 267124*s - 3332601 wrt s. -30*s**2 - 2*s - 267124 Differentiate -709*a*h**2 - 13*a*h - 243*a + 8911757*h**2 + 1 with respect to a. -709*h**2 - 13*h - 243 Find the second derivative of 3*k**3 - 131992*k**2 - 560*k - 4. 18*k - 263984 Differentiate 426574156*u**3 + 106638425. 1279722468*u**2 Differentiate -54443*w**2 + 745*w + 849323950 with respect to w. -108886*w + 745 What is the second derivative of 498316638*p**4 + 424454218*p wrt p? 5979799656*p**2 What is the second derivative of 37656*g*n**3 - g*n**2 - 4*g*n + 8*g + 30*n**3 - 44953 wrt n? 225936*g*n - 2*g + 180*n What is the second derivative of -36787*b**2*i**2*t + 5*b**2*t - 11*b*i**2 + 9*b*i*t + 5669*b + 2*i**2*t wrt b? -73574*i**2*t + 10*t What is the second derivative of -1092639386*k**2*o**2 + 1897*k*o**2 + 25875*o**2 wrt k? -2185278772*o**2 What is the third derivative of 388*k**2*r**3 + 136*k**2*r**2 - 6434*k**2*r - k*r + 2*k - 22568*r**3 + 51*r wrt r? 2328*k**2 - 135408 Find the third derivative of 2966682*f**2*w**3 + 11*f**2*w**2 - 103*f**2*w + f**2 + 3*f*w**2 - w**3 - 285 wrt w. 17800092*f**2 - 6 What is the derivative of 35*s**2 - 25006*s + 3053389 wrt s? 70*s - 25006 Find the third derivative of -4923228*l**4 + 3*l**2 + 124818*l - 1 wrt l. -118157472*l Find the third derivative of 2635054*j**3*k**2*v - 610*j**2*k - j*k**2*v - 5603*j*k*v wrt j. 15810324*k**2*v Find the second derivative of -164*o**3*t**2 + 2344*o**2*t*v + 214*o*t**2*v - 49*o*v - 27*t**2*v wrt o. -984*o*t**2 + 4688*t*v What is the first derivative of 10606216*d**3 - 7499337? 31818648*d**2 Find the first derivative of 151337*t**3 - t - 1008706. 454011*t**2 - 1 What is the second derivative of -81543596*b**3 - 1508916776*b wrt b? -489261576*b What is the third derivative of -79934735*l*o**3 - 128703*l*o**2 + 414*l + 2 wrt o? -479608410*l Differentiate -22727
{ "pile_set_name": "DM Mathematics" }
t m = 370 + r. Which is the closest to 0.1? (a) -1/4 (b) -5 (c) m (d) -4/5 c Let p = 3579.1 + -3730. Let d = 151 + p. Let k = 7 + -7.3. Which is the nearest to d? (a) 2/3 (b) k (c) 2/11 c Let k = 524 - 524.2. Let h = 58.9 + -9.9. Let t = 46 - h. What is the nearest to k in 0, 4, t? 0 Let t = -1145 + 756. Let q = 385 + t. Let s = 0.1 + -0.3. Which is the closest to s? (a) -1/2 (b) q (c) -8/3 a Let t = -251.6 + 252. Let i = 0.56 + -0.36. Which is the nearest to 7/4? (a) i (b) t (c) 1/4 b Let z = 2536 - 2536.4. Let k = 33 - 98/3. What is the closest to k in -18/5, z, -1/5? -1/5 Suppose 8*s + 544 = 368. Let o be 11/s + (-1)/(-2) + 4. Which is the nearest to 1/5? (a) 0.5 (b) -4 (c) 5 (d) o a Let p be (-724)/4706 + (-2)/156 - 1/(-6). What is the nearest to p in 2/17, 426, -3? 2/17 Let c = 1 + -1.1. Let i = 151/4 - 38. Let z = -3/2 + 25/14. What is the closest to c in -5, i, z? i Let u(i) = -i**3 - 55*i**2 - 103*i + 159. Let y be u(-53). What is the closest to 55 in -0.1, 4, y? 4 Let b = 803.1 - 803. Let m = 0.27 - -11.03. Let l = m + -11. What is the closest to b in l, 6/11, 5? l Let y = -36631 - -36630. What is the nearest to 0.1 in y, 35, 1/3? 1/3 Let p(o) = 7*o**2 + 6*o - 11*o**2 + 3*o**2 + 22. Let s be (-5)/15 + ((-31)/(-3) - 1). Let c be p(s). What is the nearest to -1 in -2, 5, c? -2 Let q = 0.07057 - 15.07057. Which is the nearest to q? (a) 8 (b) 1/3 (c) 3 (d) 5 b Let z be (-25380)/22275 + ((-46)/69 + 17/(-15) - -3). Let b = 6 - 11. What is the nearest to b in z, -1, 5? -1 Let j = 189 + -167.1. Let x = j - 22.2. Let g = 0 + 0.1. Which is the nearest to -1? (a) g (b) x (c) 2 b Let i be 2/(-10)*-3 - (36 + -35). Let j = 218.5 - 219. What is the closest to -1 in 5, 8, i, j? j Let r = -87.076906 - 0.032094. Let m = r + 0.109. Let u = m + 86.9. Which is the closest to u? (a) -0.05 (b) -1/2 (c) -1/3 a Let r = -0.015 + 22.015. Let w = r + -25. Let p be (0 - 0)/(17 + -16). What is the closest to p in 6/7, w, 4/9? 4/9 Let t be (10/175)/((-10)/(-70)). Let c = 130.3 - 130. What is the nearest to -1 in t, -0.03, c? -0.03 Let d = 1.5 + -5. Let a = d + 3. Let r = 5953 + -5953.4. What is the nearest to 2 in r, 0.5, a? 0.5 Let g = -12504 - -12522. What is the nearest to g in 0.01, 4, 1? 4 Let x = -372.82 - -373. Let v = 0.08 - x. Let m = 0.04 - 3.04. Which is the closest to 4/3? (a) m (b) v (c) -3/4 b Let n = 43 + 2. Let s = -161 + 115. Let j = s + n. Which is the closest to 1? (a) 9 (b) 0.4 (c) j b Let q = -2475 - -22277/9. Which is the nearest to -3? (a) q (b) 1/8 (c) -2 (d) 2/29 c Let f = 0.064 - -4.936. Let j = -980 + 6862/7. Let k = -0.2 + 0.3. Which is the nearest to k? (a) j (b) -0.09 (c) f a Suppose -127*v = -136*v - 9. Let n be (-14)/(-49) + 296/(-7). Let l be (16/n)/(16/24). Which is the closest to v? (a) l (b) 5 (c) 14 a Let m = -824 - 68. Let z = m - -892.2. What is the nearest to 1 in -7/3, -5, z, -3/8? z Suppose 40 = a - 62. Let i = -104 + a. What is the nearest to -0.1 in 57, -3, i? i Let d = 2321 + -9387/4. Let i = 26 + d. Suppose 10 + 6 = -16*n. Which is the closest to i? (a) n (b) -3 (c) -1/2 c Let p be 0/(19/(-38)*-6). Which is the closest to 2/3? (a) -8 (b) -6 (c) -5 (d) p d Let b = 135668 + -135665. Let r = 1 - -1. What is the nearest to 0 in -0.3, b, 1/4, r? 1/4 Let d = 1023.89 + -1028. Let o = d - -0.11. Let u = -0.023492 + -0.176508. What is the nearest to 14 in u, o, -2? u Let d = 2.124 - 1.624. Suppose 0 = -3*t - 5 - 1. What is the closest to -0.2 in t, 7, d? d Suppose -4*q = -3*y + 4, -2*q + 31 = 5*y + 59. Which is the closest to -68? (a) 0.1 (b) y (c) 5 b Let m = 4 - 3.95. Let d(k) = -k**2 + 4*k + 24. Let w be d(-6). Let o be (3/15)/(w/135). Which is the closest to m? (a) o (b) 3 (c) 1 a Let q = -0.25044 + 4.35044. Which is the closest to 2? (a) 0.4 (b) q (c) -0.16 a Let l = -0.0928 + -0.4072. Which is the closest to 2.4? (a) l (b) 0.1 (c) -1/13 b Suppose 20 = 5*d - 10*d. Let v = 74 - 72. What is the nearest to 1 in v, 1, d? 1 Let z = -469 + 459. Let u be 3 - ((-15 - -16) + z/(-8)). Which is the nearest to -1? (a) u (b) 1/2 (c) 4.5 b Suppose -17*p + 23*p = -24*p. Let o be 3*(p + 1) + (-969)/285. Which is the nearest to -1/4? (a) o (b) 1 (c) -2/13 c Let l be ((27/(-6))/(-9))/((-44)/88). Which is the closest to -319? (a) l (b) 1.7 (c) 4 a Let o = -5247 + 5246.4918. Let s = 0.0082 + o. Which is the nearest to -1? (a) 0.07 (b) 1/4 (c) 0.1 (d) s d Suppose -3*o - 2*o = 4*f + 5, -5*f - 5 = 5*o. What is the closest to f in 1, -2/15, -15, 2? -2/15 Let o = 2467 + -12326/5. What is the nearest to 1 in -1.23, 4, o? o Let q = 13758.9 + -13758.8. Let z = -0.003 + -4.597. Which is the closest to q? (a) 4 (b) -4 (c) 2 (d) z c Let q = -93 - -95. Let v = 1.86 + -1.76. Which is the nearest to v? (a) -1 (b) -0.7 (c) q b Let h be ((-198)/(-297))/(1/(-12)*1). Let t be h/((-120)/(-25))*3. What is the nearest to 1 in 3/7, t, 1? 1 Let k = -2427 + 2425. Which is the closest to -0.5? (a) -10 (b) 4/7 (c) k b Let v = 4.2 + -4.3. Let b = 18 - 105. Let w = -86.7 - b. What is the nearest to w in 4/7, -1, v? 4/7 Let w = 0.7936 - 1.2936. What is the closest to -0.5 in 2, w, 14? w Let h = -13189/3 - -4396. Which is the nearest to h? (a) 0.2 (b) -1/17 (c) 8 (d) -3 b Let y be -5 - (7 + -17) - 56/12. Let m be (-3)/(-21)*(-3 + 0). Which is the closest to y? (a) -0.2 (b) m (c) -2/17 (d) -0.1 d Let h = 1304 + -1303. What is the closest to 1/4 in -0.11, h, 0? 0 Let a = -0.54 - -0.503. Let b = -0.052 - a. Let i = b - -3.015. What is the nearest to -2 in i, -2, -0.1? -2 Let j = -0.33 - 0.17. Let r = 25 - 27. Let v be 34/(-5)*(-45)/(-18). What is the nearest to -0.1 in v, j, r? j Let n be -2 - (-1 + 9/3). Let p = -3/28 - 5/84. Let f(x) = x**3 + 5*x**2 + 3*x - 5. Let a be f(-4). What is the closest to 0 in p, n, a? p Let t = 2531.2 - 2530.6. Which is the closest to 2/5? (a) -0.5 (b) t (c) -36 b Let w = -84403 + 84403.5. Suppose -5*i - 15 = -0*i - 5*n, 0 = -5*n + 5. Which is the nearest to 2/9? (a) i (b) w (c) -9 (d) 3 b Let c = -0.04 + 2.04. Let y = 253.8 + -253.9. Let o = -1174/7 + 168. What is the closest to y in c, 0.1, o? 0.1 Let m = 344339 - 344338. Let j(r) = -r**3 + 7*r**2 + 2*r - 2. Let u be j(7). What is the nearest to u in 0.6, -0.5, m? m Let j be (-12)/(-336) + (-2)/(-8). Let t be (260/20 - 18)*4/(-50). Which is the closest to -1/3? (a) 0 (b) t (c) -10 (d) j a Suppose -511*k - 1121 = 751 + 683. What is the nearest to 1/4 in 1/2, -9, -0.205, k? 1/2 Let k(j) = j - 25. Let w = -193 + 216. Let s be k(w). Which is the closest to s? (a) -0.12 (b) 0.4 (c) 2/3 a Let d = 17 - 17.08. Let w be 72/30*(-3)/(-18). Let j = 97 - 195/2. Which is the nearest to w? (a) -3/7 (b) j (c) d c Let z = -3676 + 3692. Which is the closest to z? (a) -0.12 (b) 2 (c) -4 b Let g = -18308 + 18308.06. What is the nearest to -0.42 in 0.5, g, -4? g Let u be ((-8)/24)/(55/(-132)). What is the nearest to 0 in 2, -3/5, 18, u? -3/5 Let l = -4 - -6. Let j be (-8)/40*(8 + 5 + 91/(-7)). Which is the closest to 2/7? (a) j (b) 1.5 (c) l a Let x = 13817 + -13817.5. What is the closest to -54 in 0.2, -2/7, x, -0.4? x Let i be (-182)/49 + (6 - 2). Which is the closest to 2/7? (a) -0.071 (b) 0 (c) 0.1 (d) i d Let j = -0.1736 + 1.1736. Which is the closest to j? (a) 0.2 (b) 7 (c) 1 (d) 2/71 c Let r be 39/(2925/(-240)) + 14. Which is the closest to r? (a) -5 (b) 0 (c) 4 c Let h = -0.1 + 0.1. Let n = 28787 + -28789. What is the closest to 3 in -1/3, h, n? h Suppose -33*z - 35*z + 3 = -69*z. What is the nearest to -71/6 in -4, -0.3, -5, z? -5 Suppose -24 = -2*o - 14*w + 19*w, -w = -2*o + 8. Which is the nearest to 0.2? (a) o (b) -0.04 (c) 0.03 (d) 5 c Let i = 256 + -246. Let w(z) = -z**2 + 15*z - 48. Let t be w(i). What is the nearest to 0.1 in t, -3, -2/5? -2/5 Let j = -0.086 - 14.214. Let p = j - -15. Let i = 1641.9 + -1642. Which is the closest to i? (a) -1/7 (b) p (c) 1/7 a Let r = 3740 + -3739. Which is the nearest to 0.3? (a) -2/9 (b) -2/167 (c) r b Let f be -6 + (-15 - -17) + -2 + 14. Which is the nearest to 1/3? (a) -0.5 (b) 3 (c) f (d) 46 a Let t be ((-12)/(-4))/(180/(-24))*(-10)/(-16). Let o be 4/18 - (-56)/(-90). Which is the nearest to o? (a) -5 (b) 5 (c) t c
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when 59223 is divided by 11. 10 What is the remainder when 248 is divided by 42? 38 Calculate the remainder when 1054 is divided by 96. 94 Calculate the remainder when 118 is divided by 3. 1 What is the remainder when 8060 is divided by 18? 14 What is the remainder when 4892 is divided by 18? 14 Calculate the remainder when 2382 is divided by 784. 30 Calculate the remainder when 1276 is divided by 180. 16 What is the remainder when 435 is divided by 90? 75 Calculate the remainder when 104 is divided by 24. 8 What is the remainder when 919 is divided by 40? 39 What is the remainder when 1669 is divided by 414? 13 Calculate the remainder when 228 is divided by 108. 12 What is the remainder when 119 is divided by 26? 15 Calculate the remainder when 165 is divided by 58. 49 What is the remainder when 491 is divided by 11? 7 What is the remainder when 53 is divided by 16? 5 What is the remainder when 29376 is divided by 130? 126 Calculate the remainder when 286 is divided by 72. 70 Calculate the remainder when 175 is divided by 169. 6 What is the remainder when 1147 is divided by 103? 14 Calculate the remainder when 325 is divided by 22. 17 Calculate the remainder when 1074 is divided by 98. 94 What is the remainder when 609 is divided by 52? 37 Calculate the remainder when 191 is divided by 24. 23 Calculate the remainder when 35 is divided by 13. 9 Calculate the remainder when 1422 is divided by 4. 2 Calculate the remainder when 41 is divided by 21. 20 Calculate the remainder when 404 is divided by 199. 6 Calculate the remainder when 653 is divided by 110. 103 What is the remainder when 1839 is divided by 63? 12 What is the remainder when 175 is divided by 36? 31 Calculate the remainder when 164 is divided by 56. 52 What is the remainder when 246 is divided by 98? 50 Calculate the remainder when 1989 is divided by 985. 19 What is the remainder when 996 is divided by 52? 8 What is the remainder when 1149 is divided by 10? 9 Calculate the remainder when 462 is divided by 32. 14 What is the remainder when 698 is divided by 25? 23 Calculate the remainder when 391 is divided by 57. 49 What is the remainder when 906 is divided by 34? 22 What is the remainder when 227 is divided by 121? 106 What is the remainder when 83 is divided by 41? 1 Calculate the remainder when 81 is divided by 19. 5 What is the remainder when 181 is divided by 176? 5 Calculate the remainder when 5884 is divided by 11. 10 What is the remainder when 204 is divided by 65? 9 What is the remainder when 141 is divided by 40? 21 What is the remainder when 110 is divided by 24? 14 What is the remainder when 538 is divided by 34? 28 What is the remainder when 413 is divided by 81? 8 What is the remainder when 34200 is divided by 68? 64 What is the remainder when 736 is divided by 82? 80 Calculate the remainder when 639 is divided by 147. 51 What is the remainder when 653 is divided by 30? 23 Calculate the remainder when 140 is divided by 12. 8 Calculate the remainder when 13726 is divided by 33. 31 What is the remainder when 909 is divided by 92? 81 Calculate the remainder when 131 is divided by 6. 5 What is the remainder when 133 is divided by 28? 21 What is the remainder when 252 is divided by 43? 37 What is the remainder when 197 is divided by 72? 53 What is the remainder when 222 is divided by 29? 19 Calculate the remainder when 260 is divided by 45. 35 Calculate the remainder when 1039 is divided by 517. 5 Calculate the remainder when 1370 is divided by 55. 50 Calculate the remainder when 580 is divided by 114. 10 What is the remainder when 129 is divided by 12? 9 What is the remainder when 3074 is divided by 51? 14 What is the remainder when 142 is divided by 39? 25 Calculate the remainder when 790 is divided by 260. 10 Calculate the remainder when 3129 is divided by 209. 203 What is the remainder when 393 is divided by 249? 144 What is the remainder when 487 is divided by 10? 7 What is the remainder when 1029 is divided by 256? 5 What is the remainder when 35 is divided by 4? 3 Calculate the remainder when 827 is divided by 42. 29 What is the remainder when 656 is divided by 7? 5 Calculate the remainder when 341 is divided by 88. 77 Calculate the remainder when 60 is divided by 35. 25 Calculate the remainder when 514 is divided by 37. 33 What is the remainder when 121 is divided by 118? 3 Calculate the remainder when 393 is divided by 139. 115 Calculate the remainder when 183 is divided by 25. 8 Calculate the remainder when 2369 is divided by 22. 15 What is the remainder when 8587 is divided by 113? 112 Calculate the remainder when 789 is divided by 44. 41 Calculate the remainder when 38 is divided by 35. 3 Calculate the remainder when 121 is divided by 59. 3 Calculate the remainder when 139 is divided by 29. 23 Calculate the remainder when 196 is divided by 18. 16 Calculate the remainder when 35 is divided by 12. 11 What is the remainder when 3594 is divided by 58? 56 What is the remainder when 2380 is divided by 215? 15 Calculate the remainder when 345 is divided by 44. 37 Calculate the remainder when 649 is divided by 44. 33 What is the remainder when 841 is divided by 53? 46 What is the remainder when 148 is divided by 4? 0 What is the remainder when 109 is divided by 3? 1 What is the remainder when 211 is divided by 41? 6 What is the remainder when 137 is divided by 19? 4 What is the remainder when 1968 is divided by 969? 30 What is the remainder when 127 is divided by 13? 10 What is the remainder when 121 is divided by 61? 60 What is the remainder when 752 is divided by 159? 116 What is the remainder when 386 is divided by 142? 102 Calculate the remainder when 522 is divided by 254. 14 Calculate the remainder when 271 is divided by 16. 15 Calculate the remainder when 282 is divided by 6. 0 What is the remainder when 2382 is divided by 149? 147 Calculate the remainder when 281 is divided by 26. 21 Calculate the remainder when 994 is divided by 13. 6 Calculate the remainder when 123 is divided by 8. 3 Calculate the remainder when 24 is divided by 9. 6 Calculate the remainder when 710 is divided by 9. 8 What is the remainder when 191 is divided by 11? 4 Calculate the remainder when 98 is divided by 18. 8 What is the remainder when 22 is divided by 13? 9 What is the remainder when 205 is divided by 150? 55 Calculate the remainder when 362 is divided by 92. 86 What is the remainder when 16 is divided by 9? 7 Calculate the remainder when 122 is divided by 44. 34 Calculate the remainder when 83 is divided by 10. 3 Calculate the remainder when 969 is divided by 241. 5 Calculate the remainder when 439 is divided by 73. 1 What is the remainder when 1777 is divided by 112? 97 What is the remainder when 3015 is divided by 201? 0 What is the remainder when 6493 is divided by 130? 123 Calculate the remainder when 110 is divided by 106. 4 What is the remainder when 676 is divided by 92? 32 What is the remainder when 687 is divided by 219? 30 Calculate the remainder when 2273 is divided by 19. 12 What is the remainder when 1585 is divided by 1585? 0 What is the remainder when 320 is divided by 89? 53 Calculate the remainder when 773 is divided by 110. 3 Calculate the remainder when 5557 is divided by 139. 136 What is the remainder when 3895 is divided by 37? 10 What is the remainder when 142 is divided by 43? 13 What is the remainder when 75 is divided by 20? 15 Calculate the remainder when 464 is divided by 78. 74 Calculate the remainder when 140 is divided by 66. 8 What is the remainder when 15 is divided by 1? 0 Calculate the remainder when 36 is divided by 6. 0 What is the remainder when 6 is divided by 3? 0 Calculate the remainder when 1314 is divided by 14. 12 What is the remainder when 380 is divided by 223? 157 What is the remainder when 153 is divided by 19? 1 What is the remainder when 10950 is divided by 74? 72 Calculate the remainder when 160 is divided by 30. 10 What is the remainder when 2351 is divided by 15? 11 What is the remainder when 82 is divided by 12? 10 What is the remainder when 445 is divided by 11? 5 What is the remainder when 306 is divided by 77? 75 Calculate the remainder when 1579 is divided by 450. 229 Calculate the remainder when 278
{ "pile_set_name": "DM Mathematics" }
9, -s*z = 5*c + z + 2 for c. 2 Suppose -3*r = 4*o + 30, 0*r + r - 28 = 5*o. Suppose -2*i + 4 = -6*i, f = -2*i. Let b be ((-3)/o)/(f/32). Solve -4*z - 4*p = -b, p - 4*p = -3*z - 18 for z. -2 Let t(k) = -k**3 - 3*k**2 - 4. Let p be t(-4). Solve z = d - 4, d - 4*d + 2*z + p = 0 for d. 4 Let v = 18 + 9. Solve 4*p - 5*d = -v, -3*p - d = d + 3 for p. -3 Let u(s) = -10*s**3 + s + 2. Let j be u(-1). Solve 4*q = -3*z - j - 4, q + 15 = -3*z for q. 0 Suppose 0 - 4 = -g. Let c be (-1 - g)*(-2 - -1). Let z(w) = w + 6. Let b be z(-3). Solve c*x - 4*t = 25, b*x + 5*t = -0*t - 22 for x. 1 Let d be 6/16 + 61/8. Solve l = d*n - 4*n + 17, 0 = -3*n + 3*l - 6 for n. -5 Suppose 3*k = 3 + 3. Solve k = -g - 5*h, 5*g + 3 - 23 = 5*h for g. 3 Suppose 4*c - 18 = 2*c. Suppose -y - 35 = -39. Solve -2*i + c = -4*a - i, -3*a = y*i - 17 for a. -1 Suppose 12 = 5*j - 2*c, 3*j - 4 = c + 3. Solve -n + 12 = -2*i + j*n, 3*i + 2*n = -5 for i. -3 Let j(y) be the third derivative of y**6/120 + y**5/10 + y**4/8 - 7*y**3/6 - 3*y**2. Let x be j(-5). Solve -3*q - 4*i - 23 = 0, -x*i = -0*i + 6 for q. -5 Suppose -m = -4*m + 12. Solve 3*w + 0*w + 13 = m*f, w + 11 = 3*f for f. 4 Let s = -1 - 6. Let p be -3 + (-3)/(3/s). Suppose -4 = -2*h + 8. Solve -21 = -3*x - p*u - h, 0 = -4*u + 12 for x. 1 Suppose 5*l + 40 = -170. Let x = l + 64. Suppose -5*r + x = -33. Solve 2*i - 4 = 2*j, 5*i + r = -2*j - 0 for i. -1 Suppose 0 = -2*x + 1 + 29. Suppose -6*y = -y - x. Suppose 0 = -q + 6 - 1. Solve -v + 14 = -4*v + h, q*v + 14 = -y*h for v. -4 Suppose 4*q - 5 = 5*z, z + 3*z - 5*q = -13. Let r = 3 + z. Solve 2*b - 6 = 5*n + 4, 0 = -3*n - r for b. 0 Suppose 4*c - 24 - 4 = 5*w, 10 = c - 2*w. Let r = c + 2. Solve -5*x + r*s + 0 = 9, 2*x = -2*s for x. -1 Let d(g) = -30*g**3 + 2*g**2 + 2*g + 1. Let k be d(-1). Let n = k + -17. Let m = 34 - n. Solve -5*x - 2*f = 15, 3*f - m = -f for x. -5 Let c(r) = -r**2 - 4*r + 15. Let t be c(-6). Solve 0 = 4*q - t*q + 5*z, 4*q + 18 = -2*z for q. -5 Suppose -52 = 5*f + 18. Let x = f + -31. Let m be ((-4)/(-10))/((-9)/x). Solve -m*q - 11 = -3*g, 0 = -3*q + 2*g - 3*g for q. -1 Suppose -2*n + 8 = -0*n. Solve n*g - 4*m + 4 = 0, 4*g - 2 = -m - 1 for g. 0 Let z = 21 - 19. Let q = -5 + 7. Solve -5*u - 13 = -q*m, 0 = -z*m - m - 4*u - 15 for m. -1 Suppose -6*d + 166 = c - 2*d, 15 = 5*d. Let y = 219 - c. Let s be (-2)/13 - (-75)/y. Solve 3*q + x = 2*q, -5*q + s = 4*x for q. 1 Let c be 0/(9/((-27)/6)). Solve -3*y - 3*d = 18, 3*y - 4*d + 0*d + 11 = c for y. -5 Let k be 3 - 2/((-2)/5). Suppose 2*a - k = -2*a. Solve a*i = c + 3 + 8, 0 = 2*c + 3*i - 6 for c. -3 Let u be (3/2)/(3/4). Solve -3*m + 4*a = -4, 2*m - 24 = -u*m - 4*a for m. 4 Let u be (1 - -3)*(-2 + 6). Suppose u - 6 = 2*p. Suppose 2*k + 24 = 4*j, -9 = 3*k + 3. Solve 3*d = -p*w - 30, j*d - 8 = -4*w - 40 for d. -5 Let k = 2 - 1. Let p(s) = 15*s**2 - s. Let z be p(k). Let q = -2 - -4. Solve 2*t + z = q*x, -15 = -0*t - 5*t - 5*x for t. -2 Suppose -r + 22 = -0*r - h, 12 = r + 4*h. Solve -r = n + 5*l, -5*n + l - 22 = -0*l for n. -5 Suppose -18 - 10 = 4*d. Let y = d + 5. Let g be (3 + y - 5)*-1. Solve 4*t + 28 = -4*z, -g*t + 4*z = z for t. -3 Suppose -2*v + 3 = 3*x - 14, -x = -3. Suppose 5*g - 14 = d + v, 0 = g - 5*d - 18. Suppose 0*l = 5*l - 20. Solve l*a + 4*r - 2 - 30 = 0, -a = g*r - 16 for a. 4 Suppose -12*g = -13*g + 1. Solve -3*a - 12 = -l, 12 = -2*a - l - g for a. -5 Let u = -20 + 8. Let c be (-18)/(-5) - u/30. Solve 6*p - 2*p + 20 = c*h, -3*p - 15 = h for h. 0 Suppose -5*k + 136 = -4*y, -5*k + 202 = 4*y + 58. Let i be ((-5)/4)/((-7)/k). Suppose -43 - 62 = -i*x. Solve 5*o + 2*l = -x, 4*l + 6 = o - 3 for o. -3 Let w be (-6)/8 + 14/8*1. Solve 4*g - 9 = z + w, 5*z + 4*g = 22 for z. 2 Let h = -1 + 8. Let i = h + 7. Suppose -5*c = 3*l - 44, -2*l + 3*c = -0*l - 23. Solve 2*t - 2*r = 1 - l, t + 3*r = i for t. -1 Suppose -r - 5*y = 18, -4*r - 5*y - 16 = -2*r. Solve -3*o + 8 = -r*o - c, -3*o + 14 = -c for o. 3 Suppose 0 = -2*k + 2*b + 2, -23 = 4*k + 5*b - 0. Let i be (-8 - (-2 - k))/(-1). Suppose i = -0*m + 4*m. Solve -1 - m = -p + r, 0 = 5*p + 2*r - 29 for p. 5 Suppose -i - 72 = -5*u, 2*u + 2*u + 4*i - 72 = 0. Solve 0 = -3*x - 3*k, -2*k - u = 3*k for x. 3 Let x = -6 - -7. Suppose 3*t = 5 + x. Suppose -o - t = -2*o. Solve -2*a - 10 = -4*i, 0 = 3*a - i - o + 7 for a. -1 Let i(d) = -d**2 + 15*d - 30. Let f be i(12). Solve 5*s + 35 = -5*o, f*o = o + s - 23 for o. -5 Let i(x) = x**2 + 6*x + 10. Let a be i(-2). Solve 10 = 2*c + 3*c - a*g, -5*g - 25 = -3*c for c. 0 Let a = 8 - 5. Suppose 1 = -a*z + 7. Solve 5*o - z*y = -1, 4 = o + 3*y - 2*y for o. 1 Suppose -3*t - 4*c - 25 = c, 5*c + 25 = 0. Solve 0*j + 3*j + 5*g - 12 = 0, -5*j + 5*g - 20 = t for j. -1 Let c(r) = r**3 + 9*r**2 - 10*r + 6. Let h be c(-10). Suppose u + 25 = h*u. Solve -3*i = 4*g, -u*i = -5*g + 44 - 9 for i. -4 Suppose 0 = -o + 26 - 12. Let t(w) = w**2 - 2*w - 4. Let s be t(-4). Let a = s - 0. Solve -3*y - g - 2 = o, 3*g + a = -2*y for y. -4 Let j(n) = n**2 + 6*n - 4. Let v be j(-8). Suppose 8*d = 5*d + v. Solve 4*b + 16 = d*p, 3*p - 2*b = 4 + 3 for p. -1 Suppose 3*f + 13 = -2. Let j = f + 13. Let p be (-4)/(j/(-6)) - -1. Solve 0 = -4*r + 12, 1 - 4 = 5*z + p*r for z. -3 Let i be 24/36 - (-26)/6. Solve 2*t - 3*s - s - 4 = 0, 16 = i*t - 4*s for t. 4 Suppose -4*k - c = -17, 5*k + 2*c = -2*c + 24. Solve k*j - 2 + 0 = -3*m, 2*j - 2 = -2*m for m. 2 Let g be 2 - (-1)/((-2)/(-8)). Suppose -80 = -3*m - h + g*h, 5*m - h = 104. Let n = 279 - 277. Solve -4*k = 3*i - m, -2*k = 2*i + n - 12 for k. 5 Let b = -20 + 22. Let n be (-3 - -4)*b + 0. Solve 4*p - n*h = 12, -4*h - 11 = -3 for p. 2 Suppose -3*a + 15 = 3. Let m be 5 - (3 - (4 + -2)). Let k = m + -2. Solve k*i = i - 4*z + 23, -a*z + 32 = 4*i for i. 3 Let r(f) = f**2 + 7*f + 9. Let i be r(-6). Suppose 5*t - 37 = -2*k, k + i*t + 108 = 4*k. Solve 3*d + 12 = 4*s + k, 2*d = -2*s + 8 for d. 5 Let m(z) be the first derivative of -z**2/2 + 11*z + 4. Let o be m(11). Solve 4*c + 4*n = o, -2*n + 3*n = c for c. 0 Let n(t) = -t**2 - 7*t - 2. Let g be n(-5). Let u be (-8)/84*3 + (-16)/(-7). Solve i + x + 5 = 0, -u = i + 2*x + g for i. 0 Let w(r) = r**2 - 4*r + 5. Let l be w(3). Solve 5 - 16 = -f + 5*o, f - l*o - 2 = 0 for f. -4 Let f(t) = -t**2 - t. Let g be f(-2). Let l be (g - (-33)/12)*16. Solve -3*p - m - l = m, -5*p - 3*m = 19 for p. -2 Let f(b) be the third derivative of -b**6/24 - b**5/60 - b**4/12 - b**3/6 + b**2. Let j be f(-1). Solve 5*p - 1 = 2*z, 0 = -4*p - p - j*z - 20 for p. -1 Suppose -3*g + 2*t + 17 = 0, -3*g - 6 = 3*t - 3. Suppose -r - 4*l + 4 = 3*r, -5*r = -l - 11. Solve d - 25 = -3*k + g*d, -r*k = 4*d + 10 for k. 5 Suppose -5*z = 20 + 10. Let v = z + 10. Solve -2 = -2*b + 6*b - 2*q, -4*b - 4*q = -v for b. 0 Let y = 4 + 0. Suppose -l - l = -y. Suppose -i - l*r + 5 = -14, 2*i = -3*r + 34. Solve -2*j + 5 = 3*b, 3*j = -4*b + 3*b + i for b. -1 Let y be 27 + (2/1)/2. Suppose -y + 7 = -3*s. Solve 4*a = -v + 5*v + 32, -s = -v - 2*a for v. -3 Let m be 20/(3/(-6)*-2). Suppose 0 = d - 4*t - 20, -2*d + 0*d + 4*t + 40 = 0. Solve 4*y - 3*a = d, -5*y = -y - 5*a - m for y. 5 Suppose 5*x = 11 + 4. Solve -4*g = -4*f - 4, -2*f + x*g + 14 = 5*g for f. 3 Suppose 4*o - o = 0, 9 = 3*z - 3*o. Solve -f + z*c + 11 = 0, -3*c - 26 = 2*f - 6*f for f. 5 Suppose 2*w + 0*w = 8. Suppose w*v = -2*s + 42, 2*v = -s - s + 34. Solve -s = -2*u - 3*l, -12 + 3 = -3*l for u. 2 Suppose 2*l = 6*l. Let o(w) = -w**2 + 2*w + 13. Let d be o(5). Let x be 4/(d/(-1)) + 3. Solve 2*g - h - 8 = -l*g, 0 = x*h - 10 for g. 5 Let d(n) = 3*n + 1. Let g be d(1). Suppose 1 - 25 = g*k. Let v = -3 - k. Solve 0 = -v*j, -6*y + y - 5 = -5*j for y. -1 Suppose -2 - 4 = -i. Suppose -6*s = -3*s - i. Solve -2*g + 8 = -5*c, 4 + 4 = -s*g - 3*c for g. -1 Suppose -2*j = -68 - 22. Suppose 76 = -2*f + 20. Let m = j + f. Solve -3*l + 1 = 4*c, c - 8*l + 3*l + m = 0 for c. -2 Let r(g) = g**3 + 12*g**2 + 12*g + 14. Let v = 4 - 15. Let m be r(v). Let b be m/(-3)*-2*1. Solve 3*a - n + 1 = 0, -6 = b*a - 0*n + 2*n for a. -1 Let x = -11 - -8. Let k = -3 - x. Solve -4*l - 3*q - 1 + 2 = k, 0 = l + q for l. 1 Let v(j) = j**2 + 5*j - 1. Let a(t) = 7 + t - 7. Let n(p) = 5*a(p) - v(p). Let g be n(-1). Solve 4*o + g*k - 6 = -3*k, -k + 2 = -5*o for o. 0 Let x = 3 + -1. Suppose -c + 2 = -0. Let i = 0 - -16. Solve 2*y + x*t =
{ "pile_set_name": "DM Mathematics" }
151? 1 Let n = -219 - -265. What is the units digit of n? 6 Let l(i) = -i**3 + 5*i**2 + 2*i - 7. Let s be 3/6*(9 + 1). Let t be l(s). Suppose t*p = 3 - 0. What is the units digit of p? 1 What is the tens digit of ((-5)/5)/(-1*1)*43? 4 Let c = 702 + -481. What is the units digit of c? 1 Let o = -49 - -83. What is the tens digit of o? 3 Let z = -3 + -8. Let u = 15 + z. What is the units digit of u? 4 Let a(i) = -2 + 6*i + 0*i + i**2 - 2*i**2. Let u be a(5). Suppose 5*x - u = 4*x. What is the units digit of x? 3 Let f be (-264)/10 + 27/(-45). Let a = f + 55. Suppose 4*l - 4*i = a, -2*l - i = 3*l - 35. What is the units digit of l? 7 Suppose 86*k = 91*k - 50. What is the units digit of k? 0 Let w(b) = 2*b**2 - 2*b. Let q be w(6). Suppose -5*a = -a - q. Suppose 4*d + d = -a, 2*p + 7 = -3*d. What is the units digit of p? 1 Let d(o) = 6*o - 10. What is the units digit of d(6)? 6 Let h be 0 + 4 - (-3 + 2). Suppose u = -3*u + 16. Suppose -h = -u*j + 3*j. What is the units digit of j? 5 Suppose 2 = -t + 4. What is the units digit of (-17)/(-5) - t/5? 3 Let v(j) be the first derivative of 16/3*j**3 + 1/2*j**2 - 4 + 0*j. What is the units digit of v(-1)? 5 Let n = -13 + 11. What is the tens digit of (5 + 6)*(n + 3)? 1 Let m(v) = 8*v**2 - 4*v - 1. What is the units digit of m(-3)? 3 Let b(i) = -i**2 - 3*i + 2. Let d be b(-3). Suppose d*z = -3*c + 20, -6*z + z + 76 = c. What is the units digit of z? 6 Let m(w) = -w**3 - 6*w**2 + 5*w - 1. What is the units digit of m(-7)? 3 Suppose -377 - 48 = -5*m. What is the units digit of m? 5 Suppose 0 = -u, 3*u - 48 = -2*o - 2*o. What is the units digit of o? 2 Suppose -5*i = 3*h - 464, -2*h - 2*h + i = -588. What is the units digit of h? 8 Suppose 5*q = -v + 87, -q + 96 = 4*q - 2*v. Suppose 0 = -c + 2*r + q, 5*c - 1 = r + 44. What is the units digit of c? 8 Let q(t) = t**2 - 3*t. Let v be q(6). Suppose -y + 4*y - v = 0. Suppose -y = -4*s + 2. What is the units digit of s? 2 Let o = -163 + 261. What is the tens digit of o? 9 Let c(v) = 0*v + 0*v - 5*v. What is the units digit of c(-2)? 0 Suppose 30 = d + 4*j, -4*d = 3*j + 66 - 225. What is the tens digit of d? 4 Suppose 5*f = p + 84, f + 5*p = 4*f - 68. What is the tens digit of f? 1 Suppose 80 = 7*l - 3*l. What is the tens digit of l? 2 Let a(x) = -7*x - 6. Let d be a(-12). What is the tens digit of d/(-4)*4/(-6)? 1 Let s = 2 + -1. Let t be (-6 - 0)/(s + -2). Suppose -w = -2 - t. What is the units digit of w? 8 Suppose -5*s + 24 + 10 = 3*u, 2*s + 2 = 0. Suppose 11*f + 56 = u*f. What is the tens digit of f? 2 Suppose 8 = -3*h - 4*g - 0*g, 4*h - 3*g = 31. Suppose 0 = z + h*n - 20, 6*z + 3*n = z + 32. What is the tens digit of (-50)/z*(-8)/10? 1 Let n = -8 + 5. What is the units digit of 24 - (-4)/(-6)*n? 6 Let m be (12/(-10))/(3/10). What is the tens digit of m/2*(-75)/10? 1 Suppose 0*r - 3*r = -5*j + 540, 100 = j + r. What is the tens digit of j? 0 Suppose -3*c + t = -2*t + 3, -3 = 4*c - 5*t. Let d be (-2 + 1/c)*-2. Suppose d = 3*q - 4. What is the units digit of q? 3 Let n = 9 + -6. Suppose 2*z - n*h + 0 = 3, 15 = 3*h. What is the units digit of z? 9 Let t = 16 - 13. Let w(n) = 4*n**2 + 3*n. Let z be w(-2). Suppose t*m = -1 + z. What is the units digit of m? 3 Let v be 1*(3 - -8 - -1). Suppose j - v = -0*j. What is the tens digit of j? 1 Suppose 0 = -q - 2*q + 507. What is the hundreds digit of q? 1 Let f be (-186)/9 - (-2)/3. What is the tens digit of f/(-30) - (-116)/6? 2 Let h(o) = 2*o**2 + 14*o - 16. Let i(b) = 3*b**2 + 27*b - 31. Let w(j) = -5*h(j) + 3*i(j). What is the units digit of w(9)? 5 Let g(u) = 4*u**2 - u + 6. Let p(o) = 3*o**2 - 2*o + 6. Let h(r) = -4*g(r) + 5*p(r). What is the units digit of h(-5)? 1 Suppose -3*y = 4*h + 12, -h - 12 = 3*h - 5*y. Let o be -1 + 2 - (-1)/(-1). Let n = o - h. What is the units digit of n? 3 Let j be 5 + -2 - (3 + -4). What is the tens digit of 158/j - 36/(-24)? 4 Let u(k) be the third derivative of k**4/24 + 2*k**3/3 + k**2. Let o be u(-3). Let v = o + 4. What is the units digit of v? 5 Suppose -5*a + 2 = -23. Suppose 0 = -5*n - a. Let y = n - -2. What is the units digit of y? 1 Let o = -4 - 2. Let u be (o/(-2))/(6/4). Suppose 10 = u*c, 0 = -t + 4*c - 8 - 9. What is the units digit of t? 3 Let g(v) = -7*v**3 - 5*v + 4*v - v**3. Let k be (-7)/14 - (-2)/(-4). What is the units digit of g(k)? 9 Let l = 6 - 20. Let q = l - -26. What is the units digit of q? 2 Suppose -5*s - p = -197, s - 77 = -s - p. What is the tens digit of s? 4 What is the units digit of 12/9*123 - (2 + 1)? 1 Suppose 2 = 3*z + 2*u - 4, 5*u + 8 = 4*z. What is the tens digit of (z - (-5)/(-1)) + 16? 1 Let d(o) = o**2 + 3*o + 4. What is the units digit of d(-4)? 8 Suppose -3*q + q - 2 = 0. Let b(c) = -c**3 + 2*c + 1. Let d be b(q). Suppose 4*s + 0 - 4 = d. What is the units digit of s? 1 Let d = 55 - 21. What is the units digit of d? 4 Let h(r) = 2*r**3 + 11*r**2 + 2*r - 10. What is the units digit of h(-5)? 5 Suppose -q - 8 = 3*q. Let l be 4*((-6)/(-4) - q). Suppose 2*w + l = 4*w. What is the units digit of w? 7 Suppose 1 = 2*r - 29. What is the units digit of r? 5 What is the tens digit of (-3)/6*(0 + -206)? 0 Let z = 5 + 7. Let p = -6 + z. Suppose -j + p*j = 3*l - 40, -3*j - 40 = -5*l. What is the units digit of l? 5 Suppose -7*w + 9*w = -5*j + 1244, 12 = -4*w. What is the hundreds digit of j? 2 What is the tens digit of (2/(-6))/(5/(-525))? 3 Suppose -5*y + 2*u = -263, -3*u + 3 + 0 = 0. What is the units digit of y? 3 What is the units digit of 3 + 22 - (-2 + 1)? 6 Let i be (-1 - -1) + -5 + 7. Let q(t) = i*t + 1 + 2*t**2 + 5 + 7*t - 3*t**2. What is the units digit of q(8)? 4 Suppose 5*i - 252 + 47 = 0. What is the tens digit of i? 4 Let z(m) = m**2 + 4*m + 4. Let j be z(-4). Suppose -5*b + 3*b + 25 = -5*c, 0 = -j*b + 4*c + 56. What is the tens digit of b? 1 Let f(j) = -3 + 0*j - 2*j + 6*j. What is the units digit of f(2)? 5 Let o(b) = b**3 + 5*b**2 - 7*b - 7. Let u(x) = -7*x**3 + 2*x - 1. Let a be u(1). Let y be o(a). Let k = 8 + y. What is the units digit of k? 7 Let q(v) = 3*v - 2. Suppose -4*l + 7 = -5. Let k be q(l). Suppose -s = -0 - k. What is the units digit of s? 7 Let x = 3 + -29. Let r be (-4)/x + 126/26. Suppose -j + r*j = 28. What is the units digit of j? 7 Suppose l = -l + 166. Let a = l + -44. What is the tens digit of a? 3 Let f(b) = 4*b**2 + 8*b - 2. What is the units digit of f(3)? 8 Let q(m) = m**3 + 10*m**2 - 5*m - 11. What is the tens digit of q(-10)? 3 Let w(q) = 18*q**2 - 2*q + 1. Suppose -c + 5 = 4*x, -1 = 3*x - 2*c - 2. What is the units digit of w(x)? 7 Suppose -4*m + 133 + 31 = 0. Let u = m - 23. What is the tens digit of u? 1 Let r = -9 - -14. Suppose -r = -2*f + 9. What is the units digit of f? 7 Suppose -n - 4 + 7 = 0. Suppose -5*v - 35 = -0*h + n*h, 0 = -4*v + 2*h - 50. What is the units digit of 8/(-20) + (-14)/v? 1 Let a = -19 - -34. Suppose 3*v + a = -2*v. What is the units digit of (v/9)/((-1)/33)? 1 Let m = 0 - -5. Let c be 34 - (2 + 3/(-1)). Suppose -c = -m*j - 0*j. What is the units digit of j? 7 Let x be (-139)/(-6) - (-5)/(-30). Let k = x + -5. What is the tens digit of k? 1 Let i be 2*1 - (7 + -4). Let c be 2/(-3) + 64/6. What is the units digit of -1 + c + i + -2? 6 Let i(x) be the first derivative of x**2/2 - 4*x + 6. Let s be 5 + 2 + -1 + 0. What is the units digit of i(s)? 2 Let a = 9 - 10. Let l = 2 + a. What is the units digit of l? 1 Suppose -6*l = -5*l - 2. Suppose -l*k + 82 = 20. What is the units digit of k? 1 Let r = -83 - -189. What is the tens digit of r? 0 Let p be (36/(-14))/((-3)/21). Suppose -n = -4*b - 6*n + 50, 4*n = -b + p. What is the tens digit of b? 1 Let m = -241 - -337. What is the tens digit of m? 9 Suppose 1 = -d - 1, 2*j - 52 = -4*d. What is the units digit of j? 0 Let i(b) = 9*b**2 - 1. Suppose 5*l + 0*l - 10 = 0. Let n = l + -3. What is the units digit of i(n)? 8 Let m = 1 - 11. Let b be ((-36)/30)/(3/m). Suppose -2*y + 58 = 4*d, -4*d = -0*d - b*y - 28. What is the units digit of d? 2 Let v = -4 + 12. Suppose 7 = 3*t - 2, s - v = -5*t. What is the units digit of (18/2)/(-6 - s)? 9 Suppose -499 = -5*m + 391. What is the tens digit of m? 7 Suppose 3*j = -2*m + 823, -2*j - 9*m + 547 = -6*m. What is the hundreds digit of j? 2 Let s(f) = -7*f - 4. Let d be s(-5). Suppose 3*r - 4*k = 0,
{ "pile_set_name": "DM Mathematics" }
Let j(f) = -f**2 - 10*f - 9. Let v = 32 - 22. Let u = 3 - v. What is the tens digit of j(u)? 1 Let j(w) = -w**3 + 10 - 2 + 4*w + 5*w**2 + w. Let t be j(6). Suppose n + g - 13 = 0, 3*n - t*g = 8*n - 59. What is the tens digit of n? 1 Let f(b) = -2*b**2 + 7 - 2*b - 4*b**3 + 11*b**2 + 5*b**3. What is the hundreds digit of f(-6)? 1 Suppose 4*h = -4*t - t - 166, -2*t = 3*h + 121. Let i = -22 - h. What is the tens digit of i? 1 Let w(f) = 28 - 18 - 20*f + 31 + 2. What is the tens digit of w(-8)? 0 Let g = -139 - -247. What is the units digit of g? 8 Let z = -11 - -12. What is the tens digit of (-8 + -9)/(z/(-5))? 8 Suppose 6*k = 16*k - 50. Suppose 5*h - d - 56 = 0, -3 - 77 = -k*h - 5*d. What is the units digit of h? 2 Suppose 2*m = -m + 135. Let h = m + 7. What is the units digit of h? 2 Suppose -201 = 10*d + 89. Suppose 0 = -3*s + 102 + 45. Let u = s + d. What is the units digit of u? 0 Suppose 2*f + 2 = -j + 4, j + 2 = 0. What is the units digit of (368/24)/(f/6)? 6 What is the tens digit of 52 - (1 + -2 + -4)? 5 Suppose 3*j + 49 = 2*p, 4*p + 4*j - 86 = 62. Let k = -18 + p. Let r = 33 + k. What is the units digit of r? 7 Let y = -3423 + 4809. What is the units digit of y? 6 Let b = -12 - -11. Let n be -9*b/(3 + -4). What is the units digit of -6 - n - -1*19? 2 Let y(a) be the second derivative of a**4/24 + 4*a**3/3 - a**2/2 + 6*a. Let r(j) be the first derivative of y(j). What is the units digit of r(0)? 8 Let n(x) = -x**2 + 14*x + 15. Let d be n(15). Let l = 12 - d. Let v = l + -4. What is the units digit of v? 8 Let d(f) = 77*f**2 - 3*f + 2. Let k(n) = n - 5. Let y be k(6). What is the units digit of d(y)? 6 Let o be (-2)/((-5)/((-175)/(-10))). Suppose -o*a = -3*a - 92. What is the units digit of a? 3 Let l(s) be the second derivative of -6*s + 0 - 1/12*s**4 - 5/3*s**3 + 1/2*s**2. What is the units digit of l(-9)? 0 Let d be 18/30 - 36/10. What is the tens digit of 2 - -58 - (-1 - d)? 5 Suppose -38*h + 36*h + 1382 = -3*c, h = 5*c + 684. What is the hundreds digit of h? 6 Let f be ((-6)/(-6))/((-1)/14). Let y = -11 - f. Suppose -23 = -k - y. What is the units digit of k? 0 Suppose 0 = 3*r + r - 160. Suppose -5*s + 3*s = -r. Let v = 40 - s. What is the units digit of v? 0 Let h(g) be the first derivative of -1/3*g**3 + 0*g**2 + 1/4*g**4 - 5 + 3*g. What is the units digit of h(0)? 3 Let v be (3/9 - 2)*-3. Suppose 4 = -p, u - 2*p = -v + 19. Suppose -b = -u*b + 10. What is the units digit of b? 2 Suppose -59*t + 63*t - 940 = 0. What is the tens digit of t? 3 What is the units digit of 125 + (-6 - -18 - 6)? 1 Suppose -6*v + 40 = -8. Suppose -13*d + 210 = -v*d. What is the tens digit of d? 4 Let d be (2123/22)/((-6)/4)*-3. Let k = d + -89. What is the hundreds digit of k? 1 Suppose 4*w + 43 = 63. Suppose -3*a + 15 = 0, -4*a = -w*y + 164 - 4. What is the units digit of y? 6 Let p(d) = -d**2 + d + 23. Let z(j) = -j + 2. Let h(w) = -p(w) + z(w). What is the tens digit of h(-7)? 4 Suppose 4*k - 4240 + 208 = 0. What is the tens digit of k? 0 Let r be (0 + -1)/((-2)/(-72)). Let x = r - -39. Suppose x*w - 58 = w. What is the tens digit of w? 2 Let q(v) = -152*v - 1. Let z be q(-1). Let p = 76 - z. What is the tens digit of p/(-6) - (-3)/(-2)? 1 Let u = -4723 + 9802. What is the units digit of u? 9 What is the tens digit of 8/10 + (-4)/5 + 272? 7 Suppose -5 = 5*t, 5*x - 87 = -3*t + 20. Suppose -10*u = x - 162. What is the tens digit of u? 1 Let d = -31 - -757. What is the hundreds digit of d? 7 What is the hundreds digit of -1 - 12312/(-20) - 12/20? 6 Suppose -15 = -0*c - 5*c. Suppose -2*v = -5*d + 3*v + 675, 3*d = -c*v + 399. What is the tens digit of d? 3 Let r = -55 + 8. Let m = -42 - r. What is the units digit of m? 5 Let c = -11 + 10. Let q = 18 + c. What is the units digit of q? 7 Suppose 14*j - 9140 = 3138. What is the units digit of j? 7 Suppose 2*n - 16 = 5*g, -10 = -4*g - 26. Let u be 16/(27/12 + n). Suppose 3*a = -3*v + 102, 2*a + 0*a - u = 2*v. What is the units digit of a? 3 Let h(j) = 509*j**2 + j + 3. What is the hundreds digit of h(1)? 5 Let m(f) = -f**3 + f**2 + 16*f + 43. What is the tens digit of m(-3)? 3 Let d(y) be the second derivative of y**4/12 + 3*y**3/2 + y**2/2 + 17*y. What is the units digit of d(7)? 3 Suppose -g = -b - 1440, -5*g - 4*b + 7084 + 161 = 0. What is the thousands digit of g? 1 Let q = 177 + -3. What is the tens digit of q? 7 What is the tens digit of 38721/39 + 18/117? 9 Let x(a) = -a**3 + 11*a**2 - 13*a + 1. Let v be x(10). Let p = v - -32. Suppose -p*s = 2*s - 350. What is the tens digit of s? 7 Suppose 0 = -a - 5*d + 280, -2*d + 7 = -3. Suppose a = 55*v - 52*v. What is the units digit of v? 5 Let z be 2/2*-4*(-47)/2. Let o = 196 - z. What is the hundreds digit of o? 1 Suppose -225*x - 917 = -232*x. What is the units digit of x? 1 Let b(v) = v**2 - 16*v + 13. Let m be b(19). Let y = m - 47. What is the units digit of y? 3 Suppose 30 = 2*k - 338. Let v = k + -89. What is the tens digit of v? 9 Let d be (-4)/5 - (-273)/35. Suppose -2 = -3*t + d. What is the tens digit of (-1267)/(-28) - t/12? 4 Let a(x) = -2*x**2 + 9*x + 10. Let t be a(-5). Let b = 119 + t. What is the units digit of b? 4 Let i(m) = m**3 - m**2 + 2*m - 1. Suppose 2*z = z + 2. Let j be 1/z*(4 - -2). What is the units digit of i(j)? 3 Let i(w) = w**3 + 23*w**2 + 3*w + 50. What is the hundreds digit of i(-20)? 1 Suppose -4*x = 4, -4*w + 6*w = -4*x - 4. Suppose -3*z = -2*g + 1, w*z + z - g = -2. Suppose -4*r - z = -5*r. What is the units digit of r? 3 Let h(k) = -3*k**3 - k**2 + 4*k + 3. Let o be h(-2). Suppose o = -v + 4*v, -3*v = 5*s - 255. What is the units digit of s? 8 Let n be 0 + 8 + 3 + 4. Let f be ((-5)/n)/(1/(-3)). Suppose -2*t - f = -5*d, -t - 2 = d - 4*d. What is the units digit of t? 7 Let d(f) = 10*f**2 - 13*f + 12. What is the tens digit of d(6)? 9 Suppose 0 = 3*b - 12. Suppose -o + b = -35. What is the units digit of o? 9 Let h(f) = 5*f + 19. Let x be h(24). Let j = x - 90. What is the tens digit of j? 4 Let c = 5 - 1. Let v(k) = k**3 - k**2 - 4*k - 3. Let s be v(c). Let b = -18 + s. What is the units digit of b? 1 Suppose -3*h + 7*h + v = 1, -9 = 3*h + 4*v. Let d be h/5 + (-216)/(-20). Let r = 12 - d. What is the units digit of r? 1 Let j(q) = q**3 - 6*q**2 + q + 1. Let k be 6/15 - 88/(-5). Suppose 2*n + k = 2*d, d = -2*n - 3*n - 9. What is the units digit of j(d)? 7 Suppose 0 = 5*h - 5*b + 43 - 113, 7 = 2*h + 5*b. Suppose 0 = 18*o - h*o - 266. What is the tens digit of o? 3 Let j(t) be the first derivative of 5*t**2/2 - t - 13. What is the units digit of j(7)? 4 Let m(w) = w**2 - w + 4. Suppose 3*o - 5 = -17. Let f be (2/(-2))/(o/24). What is the units digit of m(f)? 4 Suppose 3295 = 5*m - 8035. What is the hundreds digit of m? 2 Suppose -4*w = -u + 731, 8*w = 3*u + 9*w - 2232. What is the units digit of u? 3 Suppose 3*n - 25 = -2*n. Let u(p) = 20*p - 13. What is the units digit of u(n)? 7 Let v(f) = -36*f**3 - 2*f**2 - 2*f - 1. Let d be v(-1). Let h = d - 34. What is the units digit of h? 1 Let w = 4738 + -2203. What is the thousands digit of w? 2 What is the units digit of (-4 - 110/(-25))*165? 6 Let f(b) = 7*b - 5. Let s be f(2). Let c = s + -9. Suppose c = -l + 20 + 10. What is the tens digit of l? 3 Suppose 0 = -14*y + 11*y + 882. What is the tens digit of y? 9 Suppose -5*v + 1067 = -1613. What is the tens digit of v? 3 What is the tens digit of (-28)/175*10*4570/(-4)? 2 Let j = -15 + 13. Let v be j/(-18)*-3*-6. Suppose -5*m = -3*m - v*x - 58, 39 = m + 4*x. What is the tens digit of m? 3 Suppose -12*t + 22383 = 15*t. What is the tens digit of t? 2 Let b = 49 + 6. Suppose -2*i - 13 = -o, 0*o - b = -3*o - 2*i. What is the units digit of o? 7 Suppose 22 = 2*t - 3*u, t = -0*t - 2*u - 3. Suppose -2*o + o - 2*r + 18 = 0, t*o - 4*r - 118 = 0. Suppose 4*p = -o + 110. What is the tens digit of p? 2 Suppose -4*x = 3*a - 6494, 1126 = x + 5*a - 506. What is the hundreds digit of x? 6 What is the units digit of (7700/(-28))/(1/(-5))? 5 Suppose 0 = -52*w + 51*w - 125. Let q = 222 + w. What is the tens digit of q? 9 What is the tens digit of -8 + 1 + 1121 + (-99)/9? 0 Suppose 59*d + 620 = 64*d. What is the units digit of d? 4 Suppose 52*t - 18*t - 25194 = 0. What is the hundreds digit of t? 7 Let v(o) = o + 36. Let m be 23/2 + (-8)/16. What is
{ "pile_set_name": "DM Mathematics" }
. Let o(i) = w*r(i) + 4*l(i). Determine o(-5). -1 Let d be 1/3 - 2/(-3). Let y(p) be the second derivative of 0*p**2 + p - 1/6*p**3 + 1/12*p**4 + 3/20*p**5 + 0. Calculate y(d). 3 Let r(c) = c**3 + 5*c**2 - 6*c - 3. Suppose -2*k - 54 = 7*k. What is r(k)? -3 Let p(w) be the third derivative of w**4/6 + 2*w**3/3 + w**2. Let t(g) be the first derivative of g**2/2 + g + 8. Let d(q) = -2*p(q) + 9*t(q). What is d(-1)? 0 Let x be 3/18*-2*-12. Let w(q) be the second derivative of q**4/12 - q**3/6 - 3*q**2/2 + 4*q. Determine w(x). 9 Let z(j) = -j**2 + 9*j + 7. Let t be z(10). Let v(c) = -2*c - 1. What is v(t)? 5 Let i(m) = 2*m**2 + 5*m + 4. Let l be i(-2). Let c(b) be the first derivative of l - b + 1/2*b**2. Determine c(0). -1 Let d(a) = -1 - a + a + 2 - 9*a. Calculate d(-1). 10 Let i(r) = r**3 + 6*r**2 + 6*r - 3. Let n = -21 - -16. Calculate i(n). -8 Let i(x) = x**2 + 3*x - 1. Suppose -5*q = -3*q + 4. Calculate i(q). -3 Suppose -z + 5*s + 22 = 0, -4*s + 4 = 20. Let h(q) = 7*q + 1. What is h(z)? 15 Suppose 7*v - 9 = 4*v. Let y(f) = -3*f + 6 - f + v*f - 2. Give y(5). -1 Let q(w) = w**3 - 3*w + 1. Let t = -8 - -13. Let y = t + -5. Suppose y = 4*g + g - 10. Give q(g). 3 Let k(v) = -7*v**2 + 6*v**2 - 32 + 35. Determine k(3). -6 Let o(y) = -y**3 - 3*y**2 + 4*y - 4. Let a be 2 - 8 - (2 + -4). Let i be o(a). Let q(c) = 3 - 5*c + 3*c**2 - 4*c**2 + 0*c**2. Give q(i). 7 Let h be 38/9 - (-4)/(-18). Suppose 9 = -2*o - o. Let n(q) = q**2 - 4*q - 2. Let c(t) = -t**2 + 3*t + 2. Let r(d) = o*c(d) - 2*n(d). What is r(h)? 10 Suppose -i - 20 = 4*i, 0 = -2*t - 3*i - 10. Let v(n) = -3*n**2 + n. Calculate v(t). -2 Let j(m) be the third derivative of -1/6*m**3 - m**2 + 0*m - 5/24*m**4 + 0. Calculate j(-2). 9 Let r(p) = -4*p + 6 + 7 - 12. Give r(1). -3 Let f(j) = -j**3 + 8*j**2 - 10*j - 11. Let u be f(6). Let o(y) = 4*y**3 - y**2 - y + 1. Give o(u). 3 Let q = -163 - -167. Let g(n) = n**2 - 6*n + 1. Determine g(q). -7 Suppose 0 = -5*s - 14 + 39. Let a(t) = t - 2*t + s + 0*t. Give a(-5). 10 Let d(r) be the third derivative of r**5/60 - r**4/6 + r**3/2 + 23*r**2. Give d(3). 0 Let o be 1*(0 + (6 - -3)). Suppose 0 = -s + 4*k + o, -3*s - 15 = -2*s + 4*k. Let i(h) = 2*h + 4 - h + 0. Calculate i(s). 1 Suppose -2*y = 2*v - 6, 5*y - 2 = -2*v - 5. Suppose 0*b = 2*b + 4*d, b - v = 4*d. Suppose -i - 18 = b*i. Let a(f) = -f - 4. Calculate a(i). 2 Let t(b) = -8*b + 8. Let k(g) = -g**2. Let r(i) = -k(i) + t(i). Let u(c) = c**3 - 11*c**2 - 13*c + 18. Let p be u(12). What is r(p)? -4 Let n(c) be the second derivative of -c**6/720 - c**5/120 - 5*c**4/12 - 5*c. Let v(p) be the third derivative of n(p). Determine v(2). -3 Let n(q) be the third derivative of 0*q + 5/6*q**3 + 1/24*q**4 + 0 + 3*q**2. What is n(6)? 11 Let u(h) = 0 + 6 + 18*h - 7 + 0. Give u(1). 17 Let d = 32 + -26. Let i(n) be the second derivative of n**5/20 - n**4/2 - n**2/2 + 2*n. What is i(d)? -1 Let w(v) = v + 7. Let r be w(-3). Let k = 7 - r. Let p(z) = z - 4. What is p(k)? -1 Let x(p) be the second derivative of -p**3/6 + 8*p. Let o(n) = -5*n**3 + n - 1. Let i(v) = o(v) + x(v). Determine i(-1). 4 Let i(o) = o**2 + 7*o + 6. Suppose 0 = 3*s - 8 - 1. Let h be 2 - (1 + -2 + -2 - -3). Let a be (2/s)/(h/(-12)). Calculate i(a). -6 Let y(m) = m**3 - 5*m - 9. Let b(f) = -f**3 + 6*f + 10. Let w(t) = -4*b(t) - 5*y(t). What is w(0)? 5 Let g(b) = b**2 - b - 1. Let i(p) = 3*p**2 - 2*p - 2. Let n(y) = -8*g(y) + 3*i(y). Let m be (-1 + 2/2)/(-1). Suppose 0 = 3*v - m*v + 6. Give n(v). 2 Let h(k) = -2*k**2 - 1. Suppose -31 = q - 4*i, 0 = -2*i + 9 + 1. Let r = 10 + q. Calculate h(r). -3 Let x(o) = 2*o**2 - 4*o + 4. Suppose 0 = 2*f - 22 + 16. Determine x(f). 10 Suppose -2 = -2*l + 2. Let x(q) = -5*q + l + 12*q**2 - 11*q**2 - 2*q**2. Determine x(-3). 8 Let z(a) = -a + 6. Let g(v) = 4*v**2 + v + 1. Let i be g(-1). Suppose 9 - i = -w. Determine z(w). 11 Let v(w) = 7*w + 10*w + 11*w - 25*w - 1. Let o = -43 + 71. Suppose 3*s = h - 12, -5*s = -2*h + o - 7. Calculate v(h). 8 Let t(z) = z**2 - 6*z - 10. Let l = -76 + 83. Determine t(l). -3 Let m(d) = -d. Suppose -3*l - 10 = -3*c - 2*c, 5*c = -l + 30. What is m(c)? -5 Let s be (-3 + 1)*(2 + 3*-2). Let z(p) = -p**3 + 7*p**2 + 6*p + 6. Determine z(s). -10 Let m(v) be the first derivative of v**4/4 - 4*v**3/3 - 4*v**2 + 3*v - 1. Suppose 4*o + 5*l + 0*l - 20 = 0, 2*o - 4*l = 10. Calculate m(o). -12 Suppose -4*j - 32 = 4*u, -14 = u - 2*j + 6*j. Let m(d) = -d**3 - 6*d**2 - d + 1. What is m(u)? 7 Let p = -10 + 14. Let i(q) = -q - 3 - 3*q**2 + q - p*q + 0*q**2. Determine i(-2). -7 Let a(i) be the third derivative of -i**6/120 + i**5/10 - 5*i**4/24 - i**3 + 12*i**2. Suppose -t - 4*t + 25 = 0. What is a(t)? -6 Let k(d) be the first derivative of -d**7/840 - d**6/360 + d**4/24 - 4*d**3/3 + 6. Let p(f) be the third derivative of k(f). What is p(0)? 1 Suppose -6*t + 2*t = 20, -25 = b + 4*t. Let u = -5 - b. Let r(h) = 0*h**2 + 5 + u*h**2 - 4 + h + h**2. What is r(-3)? 7 Let r be 3 + (1 - 0) + -3. Suppose -7 = -2*p - r, 4*p = 2*g + 2. Let k(c) = -3*c + 2. Give k(g). -13 Let g(a) = -29*a**3 + 3 + 4*a**2 - 2 - 6*a**2 + 0*a**2. Give g(1). -30 Let h(f) = 3*f**2 - 38*f - 14. Let w(r) = -r**2 + 13*r + 5. Let g(v) = -6*h(v) - 17*w(v). Determine g(6). 5 Suppose -h - 10 = -3*h. Let l(t) = t**3 - 5*t**2 + 3*t + 1. Determine l(h). 16 Let q(s) = -3*s**3 + 6*s**2 - 4*s - 4. Let n(z) = 16*z**3 - 30*z**2 + 20*z + 19. Let j(v) = -2*n(v) - 11*q(v). Give j(5). 1 Let y(k) = 1 - k + 2 + k**3 - 2. Let v(h) = 5*h**3 - 4*h**2 - 5*h + 2. Suppose 2*j - 6 = j. Let p(x) = j*y(x) - v(x). Determine p(-4). 8 Let j(n) = n + 1. Suppose -6 = -6*o + 6. Determine j(o). 3 Let o = -18 - -18. Let q(v) = -v**3 - v**2 - v - 7. Determine q(o). -7 Suppose -2*r = -4*m - 8, -4*m - m = 3*r - 12. Let k(i) = 3*i**2 + m*i**2 - 4*i**2 + 4 + i**3. Suppose 2*d = d. Calculate k(d). 4 Let p(w) = w - 6. Suppose 0*k + 25 = k. Let d be 1 + 0/(-2) + k. Suppose 5*a - 9 = -5*s + d, 6 = 2*a - 2*s. Calculate p(a). -1 Let v be ((-27)/(-12) - 1)*-4. Let k(g) = -5*g + 1 + g**2 + 6*g - 3 + 3*g. Calculate k(v). 3 Let d(w) be the first derivative of 1 + 5/3*w**3 - 1/4*w**4 - 1/2*w**2 + 0*w. Let u = -136 - -141. Give d(u). -5 Suppose -g - 5 = v, -2*g - 20 = -6*g + 4*v. Suppose -2*f = -g*f - 16. Suppose -5*p + f = -7. Let a(l) = -l**3 + 2*l**2 + 2*l - 4. What is a(p)? -7 Let p(h) = -3*h**2 + 4*h - 3. Let b be 198/30 - 3 - 3/5. Calculate p(b). -18 Suppose 3*d - 7*j + 2*j = -20, 3*d - 8 = -2*j. Let l(w) = -11*w - 39. Let c(b) = 4*b + 13. Let a(t) = -8*c(t) - 3*l(t). Determine a(d). 13 Suppose 2*t + 4 = 2. Let n(v) = 8*v**2 - 4*v + 1. Let p(u) = -7*u**2 + 3*u - 1. Suppose -3*d - 23 = -8. Let j(x) = d*p(x) - 4*n(x). Calculate j(t). 3 Let x(u) = -427*u**3 + u**2 + 429*u**3 - 2*u**2. What is x(2)? 12 Let v(s) = -s**3 + 9*s**2 - 8*s - 2. Let o be (2 - -4) + -1 - (-3 + 0). Determine v(o). -2 Let a(v) = -6*v**3 - 8*v**2 + 4*v - 8. Let y(o) = 5*o**3 + 7*o**2 - 4*o + 7. Let z(d) = 4*a(d) + 5*y(d). Let x = -14 + 10. Calculate z(x). 3 Let u(d) = -18*d + 8. Let g(f) = 17*f - 7. Let l(j) = 7*g(j) + 6*u(j). Determine l(2). 21 Let r(y) = y**2 - 2*y + 1. Let o be 1 + -1 + 1 + -2. Suppose 5*g + 3*q - 3 = 0, -q = -0*q + 4. Let w = o + g. Calculate r(w). 1 Let o(s) = s**3 - 4*s**2 - 6*s - 2. Let i be 8/(2 - -2) + 0 + 3. Give o(i). -7 Let d(i) = 5*i**3 + 5*i**2 - 5*i**3 + i + i**3 + 0*i**2. Give d(-5). -5 Let b(z) = z**2 - z + 7. Suppose 4*g - 2*c + 8 = 0, 7*c - 4*c = -5*g + 12. Give b(g). 7 Let r(z) = -4*z**3 + z**2 + z + 1. Let c = 1 + 7. Suppose 2*d = -4*l - 10, 4*l - d - c = 3*d. Calculate r(l). 5 Let g(a) = a**2 - 7*a + 8. Suppose -m + 7 - 1 = 0. Give g(m). 2 Let r(q) be the second derivative of -q**6/120 - q**5/20 - q**4/24 - q**3/3 - q**2 + 3*q. Let y(z) be the first derivative of r(z). What is y(-3)? 1 Let m = 13 - 8. Let x(v) = v**3 - 4*v**2 + 2*v + 1. Let t be x(4). Let w(i) = -3*i + t*i - 5 - i**2 + i. Determine w(m). 5 Suppose -3*t = -9, -c = -0*t - 2*t + 4. Let d(a) = -c - 2*a + 3 + 0 + a. Let v = -7 + 4. Give d(v). 4 Let r(c) = 6*c + 1. Suppose 0 = 4*s + y + y - 24, 2*y = -3*s + 20. Suppose 4*t - l = l, s*t + l - 6 = 0. What is r(t)? 7 Let o(a) = a + 4. Let n = -2 + -4. Calculate o(n). -2 Let m(d) = -12*d**3 + 8*d**3 + 1 + d**2 + 5*d**3 + d. Calculate m(0). 1 Let l(m) = 2*m - 8*m**2 + 4*m**2
{ "pile_set_name": "DM Mathematics" }
4 + -2). Let i be (-2)/5 - 2/(-5). Which is the nearest to n? (a) 5 (b) k (c) i c Let v = -0.388 - 6.672. Let f = v - -7. Let p = -0.04 + f. Which is the closest to p? (a) 0.2 (b) 1 (c) 0 c Suppose -6 = b - 4*b. Suppose k = -b*k. What is the nearest to k in -2, -0.5, 4? -0.5 Let y = 13.325 + -0.025. Let w = y + -13. Let r = 0.03 - -0.37. What is the nearest to -0.1 in -2, r, w? w Let z = -0.5 - 0.9. Let h = 0.4 + z. Which is the closest to 2? (a) 3 (b) -3/4 (c) h a Let w be ((-40)/75)/((-4)/6). Which is the nearest to 1? (a) w (b) -4 (c) -2 a Suppose g - 30 = -2*g. Let x be (-15)/g*3/9. What is the nearest to x in -2/11, 2/11, -0.3? -0.3 Let p(y) = -y**3 - 2*y**2 + 3*y - 1. Let u be p(-3). Let m be (-10)/8 + 1 + u. Let z be (-1 + (-2)/(-3))*1. Which is the closest to -2/7? (a) 2 (b) z (c) m b Let m = -129 - -128. What is the closest to m in -9, 1, 2/7? 2/7 Let c = -66 + 65.6. What is the nearest to -1 in -5/2, -3, c? c Suppose -3*w + 0*f = -3*f - 36, 3*f = 15. Suppose 49 = 3*q - w. Let g be 15/q + (-3)/6. Which is the closest to 0.1? (a) 1 (b) g (c) -2 b Suppose 4*l + 14 = 2. Let d be (-1)/l + (-15016)/66. Let z = d - -227. Which is the closest to -1/4? (a) z (b) 5/3 (c) -4 a Let r = 4.5 - 3.5. Which is the closest to -0.1? (a) r (b) 4 (c) -0.4 c Let m = 0 + -0.3. Which is the nearest to 1? (a) 4 (b) m (c) 0 c Let f = -0.1 + 0.2. Suppose 0 = 5*w - 5*i + 13 + 7, -3*i + 24 = -5*w. Let d = w + 1. Which is the closest to f? (a) d (b) 2/3 (c) -4 b Let n = -16 + 12. What is the nearest to -0.2 in -0.1, n, 3? -0.1 Let w = 32 + -31. Which is the closest to w? (a) -8 (b) 0 (c) -1/5 b Let k = -0.195 + -0.105. Which is the nearest to 1? (a) k (b) 9 (c) 5 a Let g = -2639/40424 + 1/1304. Let q = g - 27/62. Let p = 1 - 1. What is the closest to p in 0, q, 5? 0 Let b(a) = a + 14. Let f be b(-13). What is the closest to -1 in f, 1/9, -0.1? -0.1 Let o = -5.1 - -5. Let p(h) = -2*h**2 + 2*h + 1. Let f be p(-1). Let t be ((-4)/42)/(f/9). Which is the nearest to -1? (a) t (b) o (c) -0.2 c Let t = 0 - 0. Suppose -5*u - 5 = 10. What is the closest to u in -1/4, t, -4? -4 Let s = -3.035 + 0.035. Let l = -58 - -113/2. Let u(z) = z - 2. Let q be u(0). Which is the closest to q? (a) 0.5 (b) s (c) l c Let p = 0.152 + 0.148. What is the closest to -2/5 in -0.4, -2/11, p? -0.4 Let i = 17 - 16. What is the closest to i in 2/15, -0.4, 1? 1 Let o(l) = l**2 - 5*l + 4. Let a be o(2). Let h = 0.9 + -5.9. What is the nearest to a in 2/5, h, 0.5? 2/5 Let k = -31 + 31. Which is the nearest to -1/3? (a) k (b) -4 (c) 0.1 a Let r = -11 + 14. What is the closest to 1 in 2, r, -0.5? 2 Let u = 1937/210 - 97/10. Let o = -4/21 + u. Let f = 0.8 - -0.2. What is the closest to o in f, 1/4, -3? 1/4 Let u = -3/13 - -19/26. Let z = -0.231 - -3.231. What is the nearest to u in 0.2, -1, z? 0.2 Let w = -12 - 0. Let l = -15 - w. What is the nearest to 1/3 in -2, -0.4, l? -0.4 Let l be 4/(-6)*(-6)/(-12). Let t = -0.03 - -4.03. What is the nearest to l in t, 2, 0.5? 0.5 Let l = -2.4 + 2.6. What is the nearest to l in 1, 3, 2/9? 2/9 Suppose 0 = 5*u + 2*l - 3*l + 34, -3*u + 3*l = 30. Let g be (-4)/u - 8/(-6). Let n = -4 - -3. Which is the closest to n? (a) -5 (b) g (c) 1 c Let r = 26/99 + -4/9. Let g be (-9)/18 + 26/68. Which is the closest to 2? (a) r (b) g (c) -1/4 b Suppose -4*p + 3*p = 5. Which is the nearest to -2/5? (a) 3 (b) -0.4 (c) p b Let i = -2 + 7. What is the nearest to -2/3 in i, -5/3, 0? 0 Let n = -5 - -3. Let j = -0.2 - 0.1. What is the closest to 0 in j, 0.2, n? 0.2 Let y = 0.5 + -0.7. Let t = 56 + -54. What is the closest to y in -0.3, t, 0.2? -0.3 Let b be (-51)/(-12) - 2/8. Let y be (b - 6) + (-86)/(-44). Let q = y + 25/66. What is the nearest to 1 in -2/5, -2/3, q? q Let w be (4/(-24))/(1/4). Which is the nearest to w? (a) 0.1 (b) 3 (c) 0 c Let b = 931/10 + -93. What is the closest to b in 2/9, 4, -0.2? 2/9 Let o be ((-18)/15)/(4/(-10)). Let w = 0.92 + 0.08. What is the nearest to 1/3 in -0.3, o, w? -0.3 Let g = 0.3 - 2.3. Let p = 0 + 3. What is the nearest to g in p, -0.1, -3/2? -3/2 Let h = -0.7 + 0.4. Suppose -5*m - 4*m = 18. Which is the closest to 1? (a) h (b) -1/4 (c) m b Let g(r) = r**2 + 7*r + 7. Let q be g(-5). What is the closest to q in -0.2, -1/7, 2/5? -0.2 Let z = -87.96 + 90. Let a = z + -0.04. Let u = -209/35 - -27/5. What is the nearest to -1 in a, 5, u? u Let a be (4/10)/(24/90). What is the closest to 1 in a, -3, -4? a Let o(j) = -j**3 - 8*j**2 + 2*j + 14. Let d be o(-8). Suppose -9 = y - 4*y. Let z = d + y. Which is the closest to -3? (a) z (b) 2 (c) 0 c Let k = 3.2 - 0.2. Let n = 18 - 17.9. What is the closest to n in k, 0.5, 1/4? 1/4 Let v = 3 + -2. Let y = -3/1222 - 61079/8554. Let g = y + 764/105. Which is the nearest to 0.1? (a) v (b) 4 (c) g c Let l be (2/(-44))/(1/4). Let g be 4/(-10)*(-15)/54. Which is the nearest to -1/3? (a) g (b) -5 (c) l c Let q = -24 + 97/4. Which is the closest to q? (a) 2 (b) -2/5 (c) -5 b Let w = 29 + -31.6. Let j = w + 3. Let m be 2/3*(-3)/(-8). Which is the closest to -1? (a) 0.5 (b) m (c) j b Suppose -5*d + 2*v - 10 = v, 5*d = -v - 20. Let u be (-2 - (-38)/10) + -2. Which is the closest to 2/3? (a) 1 (b) d (c) u a Suppose 5*f = -0*f + 10. Suppose -y + 1 = -f. What is the nearest to -0.1 in -1, -4, y? -1 Let a = -10.2 + 10. What is the closest to 0.1 in a, -2, -0.5? a Let o = -335/8 + 42. Which is the nearest to -0.1? (a) -1 (b) 2 (c) o c Let v = 0 - 0. Let u be ((-4)/5)/((-8)/20). What is the nearest to v in u, 0.3, 3/2? 0.3 Let f = 8 + -3. Let o be -2 + 3 - 5/8. Which is the closest to 0? (a) 4 (b) o (c) f b Let h = -4.9 + 5. Which is the closest to -2? (a) -4 (b) h (c) 0.3 a Let i = 1.37 + -0.37. Which is the nearest to -0.1? (a) 0.1 (b) -0.1 (c) i b Let o = -832/5 - -167. Let p = -0.65 - -0.45. Which is the nearest to -1? (a) o (b) -1 (c) p b Let m = 0.2 + 0. Suppose 5*a + d + 12 = -d, 3*a + 4*d = -10. What is the closest to m in -3, a, 0.3? 0.3 Suppose 8 = 10*r - 6*r. Suppose -r*h - 4 = -4*h. What is the closest to -0.1 in h, 0, -2/5? 0 Suppose 4*l = -3*q - 4 + 1, 4*l + 5*q = -13. What is the closest to -0.1 in -2, 0, l? 0 Let x = 1.7 - 2. Which is the nearest to -0.2? (a) 2/3 (b) x (c) 1/4 b Suppose 0 = -z - 3*h - 9, -2*z - 3*z - 23 = 4*h. What is the nearest to z in -1/2, 0.5, 1? -1/2 Let h(t) = -t - 2. Suppose 3*l = 2*n - 16, n = -3*l + 7*l + 18. Suppose n*s + 6 = -0*s. Let v be h(s). Which is the nearest to v? (a) -2/11 (b) -0.4 (c) 5 a Let i = -1 - 0. Which is the closest to i? (a) -0.2 (b) 0.1 (c) 6/7 a Let j(w) = w - 4. Let s be j(6). Suppose -2*q - s*k - 7 = 9, 4*k = 2*q - 8. Let p = 1.1 - 0.8. Which is the closest to -1/2? (a) -1 (b) q (c) p a Let m = 12.6 + -13. Suppose 3*k + 5*i = 2*k - 9, -4*k = -i - 6. Let p be k/(-10)*(-10)/(-4). Which is the closest to p? (a) m (b) -0.5 (c) 0.5 a Let y = -129 - -133. Which is the closest to -1? (a) 0.5 (b) 5 (c) y a Let j = 0.22 + -0.02. Which is the closest to 0.1? (a) j (b) -0.2 (c) -0.4 a Suppose 0 = 5*a + 4*l - 11 - 3, 0 = a + 3*l - 5. Let g = 40 - 37. Suppose -q + 7 = -a*z, 6 = g*z - 4*q + 24. What is the nearest to -0.1 in 0.4, z, 0.3? 0.3 Let q = 1 + -1. Let w = 232/1125 - -2/125. Which is the closest to q? (a) -3 (b) 1/4 (c) w c Let g = 24 + 60. Let n be (-1)/(0 - g/(-8)). What is the nearest to -1 in -1/5, 2, n? -1/5 Let k = 0 + 5. Let a be (-2)/8 + 9/4. Suppose 4*i - a = 3*r + 1, 3*r - 18 = -3*i. What is the nearest to 1 in i, -2/9, k? -2/9 Let y = -10 + 10.1. Let p = 1.9 + y. What is the closest to 1 in -1/11, -0.4, p? p Suppose 3*m - 2 - 5 = g, -3*m + 2*g = -11. Let w = 1 + -0.6. Let x be (-6)/21 + 4/(-35). Which is the closest to m? (a) w (b) x (c) -3 a Let w = 4452/17 + -262. Let x = -16 + 14.9. Let s = 1 + x. Which is the nearest to s? (a) -4 (b) 0.3 (c) w c Let h be (-2)/3 - (-84)/72. Let q = 1.2 - 0.8. Which is the nearest to 0? (a) -2 (b) h (c) q c Let a = -78 - -77.8. What is the closest to 3 in 3, -2/7, a? 3 Let n = -2.9 + 3. Let u(t) = -t**2 - 3*t + 5. Let l be u(-5). Let p be 6/27 - (-3)/(-135). Which is the nearest to 1/4? (a) p (b) n (c) l a Let w = 3.874 + 0.026. Let k = 0.4 - 0.3. Let c = k + w. What is the nearest to -
{ "pile_set_name": "DM Mathematics" }
s 4/(-6) + 5207/f a prime number? False Suppose 1894*d = 1874*d + 180. Let v = -19 - -10. Is ((-339)/d)/(6/v)*2 composite? False Let k be ((-21)/(-6))/(-7)*0. Let v(h) = h. Let r(i) = 4*i - 95. Let u(j) = -r(j) + 6*v(j). Is u(k) a prime number? False Suppose 0 = 5*f - n + 41, -4*n - 12 = -2*f + 4*f. Let j be (-4 - 36/f)*10. Is (-1)/j - 772/(-10) a prime number? False Suppose 8*v - 3 - 13 = 0. Let q = -1035 + 4867. Suppose 2*t + 2*t = 4*z + q, -z = v*t - 1901. Is t prime? True Suppose 5*m - 9*z = -8*z + 468445, -5*m + 3*z = -468445. Is m a prime number? False Let t(w) = -658403*w + 2803. Is t(-2) composite? False Let y(r) be the second derivative of -23*r**4/12 + r**3/3 - 7*r**2 + 24*r. Let f(k) be the first derivative of y(k). Is f(-2) composite? True Suppose -119*g + 115*g - 61400 = 0. Let p = 27481 + g. Is p a composite number? True Let c(v) = -859*v + 635. Is c(-14) a prime number? False Let x = -16 + 16. Suppose 0 = 5*z + 5*j - 155, 5*j + x*j = 5*z - 185. Let o = 65 - z. Is o a prime number? True Let l be (-1)/2 - 54/(-12). Suppose -l + 7 = -3*f. Is 146 + ((-12)/(-4))/f composite? True Let z(s) = -5*s + 54. Let u be z(7). Let c be (12 + (1 - 2))*19/u. Suppose 5*a = 7*b - c*b + 19021, b - 4*a = 4771. Is b a composite number? False Let a = 9688 - 6826. Suppose a = -26*k + 99556. Is k a prime number? True Is (-83)/3*(13 + -402 - (-3 - 5)) prime? False Is (-2)/(-26)*-2 + (-1471968183)/(-11219) a prime number? True Let n(y) = 3687*y + 358. Is n(9) a prime number? False Let k = 143117 - 56490. Is k a prime number? True Let g(q) = 13845*q**2 - 68*q + 212. Is g(3) composite? True Let r be (1 - (-170)/(-150)) + (-105287)/(-15). Let h = r + -216. Is h prime? True Suppose 4*z + r = 63831, 10428 = z + r - 5526. Is z composite? False Suppose 1880303 = 2*f - 3*d, 2*f - 7*d = -12*d + 1880343. Is f a composite number? True Let y(w) = -34*w - 1. Suppose -4*d = -9*d + 15. Suppose -d*k = -n - 5 - 5, -4*k = -4. Is y(n) a composite number? True Let p(l) = 4*l**2 - 68*l + 2. Let j be p(17). Is j/(-12) - 1246632/(-144) prime? False Let t(q) = 3348*q + 505. Is t(33) a prime number? True Suppose -5*j - 17*j + 25850 = 0. Suppose 0 = -6*r + j + 1339. Is r prime? True Let g = -5 - -9. Suppose a + 2*s + 4 = 0, -3*a - g*s = 2 + 4. Suppose 212 = 2*r + a*r. Is r a composite number? False Suppose 0 = 3*i - i + w + 10169, 15286 = -3*i + 5*w. Let k = 11250 + i. Is k prime? True Let h be (-44)/(-132) + 422084/3. Suppose 27*z = h - 8314. Is z prime? True Suppose -c = 4*d - 582, -9*c + 8*c = -3*d - 603. Let u be (-2)/(-10)*-3 + c/(-10). Is (-456516)/u + 5/(75/6) a composite number? True Suppose -v - 5*z + 8 = -0*v, -5*v + 2*z + 13 = 0. Suppose 0 = 5*o + 32*f - 37*f - 34025, -v*o + 5*f = -20415. Is o a composite number? True Is (3/18)/(6/(-8 - -8080604)) a composite number? False Let f(j) be the second derivative of -j**6/120 + 11*j**5/60 - 3*j**4/8 + 11*j**3/6 + j**2/2 + 12*j. Let t(b) be the first derivative of f(b). Is t(8) prime? True Let i = 42 + -41. Let m be (-1103)/(i/(-3)*-3). Let w = -694 - m. Is w composite? False Let m(c) be the second derivative of 113*c**4/12 - 7*c**3/3 - 54*c**2 + 2*c - 28. Is m(15) composite? True Let u = 213213 - 151352. Is u a composite number? False Suppose 0 = 119*h - 11970976 + 2604843. Is h a prime number? True Suppose 56*t - 59*t + 297942 = 3*n, 0 = t - 5*n - 99332. Is t composite? False Let s = -616 - -604. Is (-2086)/((-8 - s) + -6) a prime number? False Let s(h) = 32*h + 40. Let a(v) = -11*v - 13. Let q(g) = -17*a(g) - 6*s(g). Let d be q(-5). Suppose 0 = d*p - 13*p + 14707. Is p a composite number? True Suppose -3*w = 3*q - 625362, 388*q + 416911 = 390*q + 3*w. Is q a composite number? True Suppose g - 33*d = -30*d + 6932, 2*g + 4*d = 13914. Is g composite? False Let y = 52763 - -308094. Is y prime? False Let i be ((-70)/10 + 8)/(1/17). Is (-27652)/(-6) + (6 - i/3) a prime number? False Let o = -13679 - 420. Let d = o + 21076. Is d prime? True Is 21 - (-18009 + (-25 - -18)) a prime number? False Let u(h) = 20*h**3 - 6*h**2 + 2*h - 33. Let q = -340 - -346. Is u(q) composite? True Is (-1)/((-51)/(-6)) - (-65)/(-442)*-708010 a composite number? False Suppose 295 = -0*r + 5*r. Let g = 74 - r. Suppose -g*q = -13*q - 3946. Is q a prime number? True Suppose -8*s - 964 + 5068 = 0. Let z = -499 + s. Is z prime? False Let m be 1/(54/12 + -4). Suppose m*q - d - 3291 = 0, 0 = -4*q + d + 5237 + 1346. Is q a prime number? False Let g be -2 + (-5)/(25/(-2765)). Let v = 1344 - g. Suppose 5*i - v - 3192 = 0. Is i a composite number? False Suppose -5*p = 10, -2*p = 4*o - 6*p. Is (o - (-11 - -7))/(2/45691) prime? True Suppose 3*x - 2*y = 1071, -3*x = x - 3*y - 1427. Let t = 32 + x. Is t a prime number? False Let h be (23/(-4) + 2)*-4. Suppose -4*a - a = h. Is (a + 1265)*(-6)/(-12) composite? False Suppose 42*z + 148 = 46*z. Let d = z + -51. Let j(l) = -231*l - 31. Is j(d) a prime number? True Let v(y) = -y**2 + 17*y - 50. Let f be v(4). Is (-3 + (-2131)/f)*(6 + -16) prime? False Suppose 4*y - 2182825 = 164*a - 169*a, -2*a + 873107 = -3*y. Is a a composite number? True Suppose 5 = -2*y + 3*y + 4*o, -4*y = 2*o - 34. Suppose 3*p + 37998 - 7124 = 5*d, -3*p - y = 0. Suppose 0 = 6*b - d - 121. Is b composite? False Let g be -8 - -4 - 80/(-4). Let s(r) = 2*r**3 - 8*r**2 - 11*r - 23. Let q be s(g). Suppose 5*u + 4*i - q = 0, 5*u + 3*i - 8*i - 5945 = 0. Is u a prime number? False Suppose -4*g = -g. Suppose 2*p - 1045 = -3*b, g = 3*p + 3*b - 6*b - 1590. Suppose -6857 = -6*s - p. Is s composite? True Let h = -36 - -40. Suppose -h*d - 184 = -4*m, 0 = -d - 5 + 7. Suppose c + m = q, 2*c - c - 93 = -2*q. Is q composite? False Let d be (-5 - 0) + -10 + 10. Let a be 6/(-4)*(3 + d + 0). Suppose 18869 = a*r + 2*k, -3*r + 18849 = -0*r - 3*k. Is r prime? True Let k = -50 - -2. Let z = k - -38. Let m = z + 113. Is m composite? False Is ((8/(-10))/(-1))/(214/35525605) a prime number? False Let m(o) = -o**3 - 13*o**2 + 18*o + 13. Let q be m(-14). Is 215/q*(-6563)/5 prime? True Let h = 742 + -472. Suppose -h = -4*z + 10798. Is z prime? True Is 0 + 0 - (65526/(-6) + -18) composite? False Let i = -53206 - -92485. Is i a prime number? False Suppose -2*k + 86 = -5*i + 500, 3*k - 93 = -i. Suppose -75*q - 8271 = -i*q. Is q composite? False Suppose -36*a + 40*a = 8. Suppose -a*j = -h + 131, h - 3*j + 7*j - 101 = 0. Is h prime? False Let m be (-2)/10 - (122994/(-45) + 8). Let k = 3472 + m. Is k composite? False Is 10 + (-273)/26 + (-239058)/(-12) a composite number? True Suppose 37*u - 55 = 32*u. Suppose -u*a + 6719 + 19758 = 0. Is a a prime number? False Suppose -5*p - 3*t + 4239551 = 0, 0 = -4*t - 12 - 20. Is p a composite number? True Let t(a) = 98465*a**3 - 9523*a**3 - 22*a - 1 + 2*a**2 + 21*a. Let m be t(1). Suppose 6*q + 8*q - m = 0. Is q prime? True Let l(u) = 131*u**2 + 89*u + 23. Is l(-31) a composite number? True Let x(d) = -181762*d - 1017. Is x(-5) a prime number? True Suppose 59*i - 13645167 = -1842799 - 149455. Is i composite? False Let o(w) = 6*w + 17. Let k be o(-6). Let f be 2 + (k + 4 - -4). Is f/3 - 17*59*-2 a composite number? False Let b be 2/(20/8 + -3). Let l be 4 + b + 2 + -2. Suppose l = 2*h + 3*h - 5, -5*i - 2*h + 427 = 0. Is i a prime number? False Is 6/(-12) + (-6045732)/(-56) a composite number? True Let c = 169 - 165. Is (-3 - 49014/3)*c/(-12) a composite number? True Let w(b) = 574*b + 1203. Is w(58) a prime number? False Suppose -671 = -4*b + 11809. Suppose 3*v + b + 3384 = 0. Let k = v - -4425. Is k composite? True Let c(b) = 2*b**3 + 6*b**2 + b + 9. Let l be c(-5). Let t be ((-6)/4)/((-4)/(l/9)). Is (155 - 0)*1 - t a prime number? False Let f be (-6)/4*4/2. Let j(h) = -5 + 20 - 9*h - 2 - 18*h - 7. Is j(f) a prime number? False Suppose n + 0*g - 547 = 5*g, -n + 546 = -4*g. Suppose -371 - n = -v - 4*r, -r + 3652 = 4*v. Is v prime? False Suppose -1192 = -686*c + 682*c. Suppose -c*h + 255180 = -286*h. Is h a prime number? False Suppose -53 = 5*r - 73. Suppose -r*f + 33 - 25 = 0. Is (-1923)/3*(-3 + f) a prime number? True Let n(x) = 42*x + 40. Let r be n(8). Suppose 2*y - r = 2*p - 0*y, 2*p + 2*y = -392. Let h = -101 - p. Is h a prime number? False Suppose -20 = 4*h - 5*a, -a = -5*h - 0*a - 4. Suppose -c = 4*m - 7 - 9, 2*c + 2*m - 8 = h. Suppose 5*d + l
{ "pile_set_name": "DM Mathematics" }
(sqrt(68)*3 + -5))**2 + -1). -12735 + 1200*sqrt(17) Simplify (sqrt(28)/(sqrt(16)/sqrt(4)))**2 + (sqrt(7) + sqrt(56)/(sqrt(8) - sqrt(8)*-2))**2 + 0 - (4 + 6*sqrt(126)/sqrt(2)). -18*sqrt(7) + 139/9 Simplify (sqrt(24) - 4*sqrt(72)/sqrt(3) - 5*sqrt(24)*-1)/(sqrt(3200) - sqrt(3200)*-1). sqrt(3)/20 Simplify sqrt(684)*2*4 - 1*(sqrt(684) + -2). 2 + 42*sqrt(19) Simplify 4 + (sqrt(187) - 2*-1*sqrt(187))/((sqrt(110)*-2)/sqrt(10) - sqrt(11)) + -1 + 1. -sqrt(17) + 4 Simplify -3*((sqrt(912) - ((-3*(sqrt(912) - sqrt(912)*-2) - sqrt(912)) + sqrt(912))) + sqrt(912))/((-3*sqrt(18)/sqrt(2) + sqrt(9))/sqrt(3)). 66*sqrt(19) Simplify 5 + 5*(1 + 1*sqrt(320) + sqrt(320)) + 1 + -1. 10 + 80*sqrt(5) Simplify (-1*4*sqrt(1375))/(sqrt(176)*-1 - 1*sqrt(704)). 5*sqrt(5)/3 Simplify (-3*sqrt(27)*-1)/(sqrt(36)*2 + sqrt(9)). 3*sqrt(3)/5 Simplify ((sqrt(17) + (-2 + sqrt(17))*2 + 1)**2 - (sqrt(17) - ((sqrt(34)/sqrt(2))**2*-6 - sqrt(17)) - (sqrt(17) + sqrt(833) + -1)))*-4. -236 + 48*sqrt(17) Simplify 5 + (sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*3 - sqrt(110))))/sqrt(10)*2 + -3. -2*sqrt(11) + 2 Simplify (sqrt(1584) + sqrt(1584) + -1*sqrt(1584) + sqrt(1584))**2 + (sqrt(11) + (0 + sqrt(11))**2)*-4 + 4*(sqrt(11)*3 - sqrt(11))*-2. -20*sqrt(11) + 6292 Simplify -2 + -1 + -2*-6*((sqrt(288) + 2)*-6 + sqrt(288) + sqrt(288) + sqrt(288))**2. 10368*sqrt(2) + 32829 Simplify (((sqrt(432) + sqrt(432)*-1 - sqrt(432))*-5)/((sqrt(9) - sqrt(144)*-1) + sqrt(576)*-1))**2. 400/3 Simplify 3*(4 + (sqrt(425) + -1 + -1 - (sqrt(425)*2*4 + sqrt(425)))**2). 480*sqrt(17) + 81624 Simplify (3*(sqrt(1377) + -2)*-4 + -5)**2. -4104*sqrt(17) + 198649 Simplify 2 + -3*sqrt(475) - (sqrt(475) + (-6*(-1 + sqrt(475)))**2). -17134 + 340*sqrt(19) Simplify 2*sqrt(832) + 0 + -5 - (4 + sqrt(832) + 0 - (sqrt(832) - (5 + sqrt(832)*-1))). -14 + 24*sqrt(13) Simplify ((4*1*sqrt(75) - (sqrt(75) - 2*sqrt(75)*6)) + -3*-2*sqrt(75)*-2)**2. 675 Simplify 5 + ((sqrt(128) - (0 + sqrt(128))*-2) + -3 + sqrt(128) + sqrt(128) + 1 + sqrt(128))**2 + -1. -192*sqrt(2) + 4616 Simplify 1 + ((sqrt(133)*-2*1)/sqrt(7) + 3)**2. -12*sqrt(19) + 86 Simplify -2 + 1 + 1 + ((sqrt(325) + -2*sqrt(325))*6 + 3)**2. -180*sqrt(13) + 11709 Simplify ((sqrt(35) - sqrt(875))/sqrt(7) + -3 + -2 + (sqrt(5) - (sqrt(100)/sqrt(2))/sqrt(10)))**2. 40*sqrt(5) + 105 Simplify ((-2 + -1 + sqrt(171) + sqrt(171) - (sqrt(171) + -3 + -5 - sqrt(171)))*-3)**2. 540*sqrt(19) + 6381 Simplify (-1*sqrt(77)*1*5)/(sqrt(704) - 1*sqrt(704)*6). sqrt(7)/8 Simplify -1*(sqrt(192) + -1*sqrt(192)) + (sqrt(192) - (sqrt(192) - -6*-1*sqrt(192))) - 3*(sqrt(192) + (0 + sqrt(192) - sqrt(192)) + sqrt(192) + -5). 15 Simplify (5*sqrt(3993))/(sqrt(22)/sqrt(8)). 110*sqrt(3) Simplify 5 + 1 + sqrt(5) + (sqrt(5) - (sqrt(5) + -1)*-2) - (sqrt(405) + 3 + sqrt(405)*2). -23*sqrt(5) + 1 Simplify (3*(sqrt(190) - 1*sqrt(190)) + (sqrt(190) - sqrt(190)*-2*1))/(sqrt(100)/(-1*sqrt(160))). -12*sqrt(19) Simplify -3*3*(sqrt(891) + 1)*4. -324*sqrt(11) - 36 Simplify ((sqrt(209) + (sqrt(209)*1*-5 - sqrt(209)))*-5)/(sqrt(88)/(1*sqrt(8)) - sqrt(11) - 2*sqrt(176)). -25*sqrt(19)/8 Simplify (1 + (sqrt(85) - (sqrt(85)*1 - sqrt(85))*-4)/(sqrt(5)*-2*2))**2. -sqrt(17)/2 + 33/16 Simplify (1 + sqrt(80) + -3 - sqrt(80))**2*-1 + -2*(sqrt(80) + -1)*1. -8*sqrt(5) - 2 Simplify sqrt(1300) + 3 + sqrt(1300)*1 + sqrt(1300) + -1*sqrt(1300)*-4. 3 + 70*sqrt(13) Simplify 0 + sqrt(98) + (sqrt(2) + -2)*-6 - -5*-6*(-2*sqrt(2) + 2)**2. -348 + 241*sqrt(2) Simplify -2*(sqrt(80) + sqrt(80)*-2) + ((sqrt(5) + sqrt(5) + 2)*-1 + 1)**2. 21 + 12*sqrt(5) Simplify sqrt(176) + ((2 + sqrt(176) - sqrt(176)) + sqrt(176) + -4 - sqrt(176))**2 - (3*(sqrt(11) - -3*sqrt(11)*1))**2. -1580 + 4*sqrt(11) Simplify -4 + ((sqrt(85)*-2*-6)/((sqrt(50)*-2)/sqrt(10)))**2. 608 Simplify sqrt(1377) + sqrt(1377) + (5*(sqrt(1377)*-2 + sqrt(1377)))**2 - ((sqrt(612)*-2)**2 - sqrt(136)/((sqrt(48)/sqrt(6) - sqrt(8)) + sqrt(8))). 19*sqrt(17) + 31977 Simplify ((2*sqrt(143)*3)/sqrt(11) + 0 + -3 + -5)**2. -96*sqrt(13) + 532 Simplify -2 + (sqrt(70)*-2*-3)/(-2*sqrt(160)). -2 - 3*sqrt(7)/4 Simplify (4*(sqrt(539) + -2 + sqrt(539) + -4)*-3)**2. -24192*sqrt(11) + 315648 Simplify (sqrt(245) + 1 + 1 - -5*((sqrt(245) - sqrt(245)*-2) + sqrt(245)))**2 - (-1*(sqrt(245) - -2*sqrt(245)*-6))**2. 588*sqrt(5) + 78404 Simplify (1*(sqrt(1152) + -5) - (3 + sqrt(1152) + sqrt(1152)*5))**2. 1920*sqrt(2) + 28864 Simplify -1 + -5*(sqrt(10)/(3*sqrt(10)/sqrt(2)) + ((sqrt(200)/sqrt(4) + sqrt(2))**2 - ((sqrt(2) + 0)**2*-2 + sqrt(2) + sqrt(2)))). -381 + 25*sqrt(2)/3 Simplify -4*(1 + sqrt(891)) + 5 - 3*(6*(sqrt(275) + -1) - sqrt(275))**2. -20732 + 864*sqrt(11) Simplify ((sqrt(24) - (sqrt(1944) + sqrt(1944)*-1 + sqrt(1944) + sqrt(24)))/sqrt(4))/((sqrt(3) - sqrt(9)/(sqrt(12)/sqrt(4))) + sqrt(48)*6). -3*sqrt(2)/8 Simplify (-4*((1*sqrt(17) - sqrt(17)) + -3) + 4 + (sqrt(68)/sqrt(4) + -3 - sqrt(17)))**2. 169 Simplify (((sqrt(152) + sqrt(152) + sqrt(152) + sqrt(152)*-1)*-6 - sqrt(152)*-1*6)/(1*(sqrt(200) - (sqrt(200) + 2*sqrt(200)))))**2. 171/25 Simplify 0 + (-1 + (sqrt(684) + 2*sqrt(684)*5 + sqrt(684) + sqrt(684))*-1)**2*2. 312*sqrt(19) + 231194 Simplify (1*sqrt(1215) + (-1*sqrt(375) - sqrt(15)))/(6*sqrt(40)/sqrt(32)). sqrt(3) Simplify sqrt(2736)*1*6*-6 + (1 + sqrt(2736))*1*1. -420*sqrt(19) + 1 Simplify ((-3*sqrt(96)*-1)/(sqrt(6)/(sqrt(15)/sqrt(5))))**2. 432 Simplify (1 + sqrt(176) + sqrt(176) + (0 + sqrt(176))*2 + (sqrt(176) - 2*sqrt(176)*5) + -4*(sqrt(176) + 1) + sqrt(176))**2. 192*sqrt(11) + 11273 Simplify 0 + (6*(sqrt(171) + (sqrt(171) - sqrt(171)*2 - sqrt(171))))/(-4*sqrt(36)). 3*sqrt(19)/4 Simplify ((-3*sqrt(209) + sqrt(209))*-5)/(sqrt(11) + (3*sqrt(66))/sqrt(6)). 5*sqrt(19)/2 Simplify 5*((-1 + (sqrt(153)/(sqrt(18)/sqrt(2)) - sqrt(17)))**2 - (-4*(-1 + sqrt(1088) - sqrt(1088)) + sqrt(1088) + sqrt(1088))). -80*sqrt(17) - 15 Simplify 2 + (4*(sqrt(13) + sqrt(65)/sqrt(5) + sqrt(13)) - -5*sqrt(117)/sqrt(9)). 2 + 17*sqrt(13) Simplify 6*((-1 + sqrt(147))*-1 + sqrt(147) + (sqrt(147)*1*-6 - sqrt(147)))**2*-2. -86448 + 1176*sqrt(3) Simplify (((4 + sqrt(112))*3 - (-2 + sqrt(112)*-4))*6)**2. 28224*sqrt(7) + 204624 Simplify (sqrt(51)/(sqrt(363)*1 - sqrt(363) - sqrt(363) - sqrt(3)) - ((0 + sqrt(2448))**2*3 + sqrt(2448)))*-1. 145*sqrt(17)/12 + 7344 Simplify (sqrt(252) + sqrt(252)*1*-5 - sqrt(252)) + (((sqrt(84)*1 - sqrt(84)) + sqrt(84))/sqrt(12))**2 + 1. -30*sqrt(7) + 8 Simplify (sqrt(90)/sqrt(3))/sqrt(6) - (sqrt(45) + -1) - (((sqrt(320)*-1)**2 - sqrt(320) - sqrt(320)) + 3). -322 + 14*sqrt(5) Simplify (3 + sqrt(34)/(sqrt(20)/(4*sqrt(10))))**2*3. 72*sqrt(17) + 843 Simplify -4*(-1 + sqrt(1088))*6 - (sqrt(170) - (sqrt(170) + 2*sqrt(170))*6)/(sqrt(40)/sqrt(4)*-5). -977*sqrt(17)/5 + 24 Simplify (sqrt(500) + 4 + 3 + (-4*sqrt(90)/sqrt(3))/sqrt(6))**2*2. 168*sqrt(5) + 458 Simplify (5*((sqrt(675) - (sqrt(675) + 1*sqrt(675) - sqrt(675))) + sqrt(675) - sqrt(675)))/(sqrt(81)/(-4*(sqrt(9) + (sqrt(9) - sqrt(9)*-2)))). 0 Simplify ((sqrt(576)*6 - sqrt(36) - sqrt(36)) + sqrt(36) + sqrt(36))/(sqrt(48)/sqrt(4)*-6) + (sqrt(9)/sqrt(12) - (-2*sqrt(12))/sqrt(4))**2 + 3. -4*sqrt(3) + 87/4 Simplify (-2*(sqrt(684) + 1 + -5))**2 + (-4 + (sqrt(684) - (sqrt(684) + -2 + -5)))**2. -192*sqrt(19) + 2809 Simplify (2 + -3*(sqrt(112)*-2 + sqrt(112) + 4 + 4))**2. -528*sqrt(7) + 1492 Simplify (4 + sqrt(15)/sqrt(5))*5 + (sqrt(135) + sqrt(15))/sqrt(5) + sqrt(3) + (sqrt(144)/sqrt(4))/sqrt(12). 11*sqrt(3) + 20 Simplify (((sqrt(66)*4 + sqrt(66))/sqrt(3))/((sqrt(11) - (-2*sqrt(11) - sqrt(11)))*-3))**2. 25/72 Simplify sqrt(68)/(-2*sqrt(20)/sqrt(5) - sqrt(4)) - (-3 + 3 + (sqrt(17)*-1)**2). -17 - sqrt(17)/3 Simplify -6*((1*sqrt(225))/sqrt(5) + (sqrt(5) + 2*sqrt(5) + 1)*5). -108*sqrt(5) - 30 Simplify (-1 + ((2 + sqrt(5) + sqrt(5))*-3 - ((sqrt(5) + -2)*-4 + sqrt(5))) + -1)**2. 96*sqrt(5) + 301 Simplify 6*sqrt(192)/sqrt(4) + -5 + -1 + sqrt(192). -6 + 32*sqrt(3) Simplify 1*(-3*sqrt(90)/sqrt(5))/((sqrt(6)*2 + sqrt(6))*-1). sqrt(3) Simplify (1*sqrt(1008) - 4*(sqrt(252) + sqrt(28)))/(sqrt(28)/(sqrt(7) + (sqrt(112) - sqrt(112)*-1))). -90*sqrt(7) Simplify -2*(2 + 1 + sqrt(17)) + -3 + (2 + sqrt(153) + sqrt(153))**2. 22*sqrt(17) + 607 Simplify 2*(-5 + sqrt(39)/(sqrt(48) + sqrt(3)))**2 - (-3*(4 + sqrt(208))*-6)**2. -1813124/25 - 10372*sqrt(13) Simplify -2*((1*2*sqrt(242))/sqrt(11))/(sqrt(1584) + -
{ "pile_set_name": "DM Mathematics" }
order. 3, y, -1, l Let l = -2284 - -2287. Put -39, -2, l, -5 in decreasing order. l, -2, -5, -39 Let n = -7 - -5. Let c = 111 + -111.2. Put n, -6/5, c in decreasing order. c, -6/5, n Suppose -49*r + 56*r = 49. Sort r, 0, -3, 4 in decreasing order. r, 4, 0, -3 Let d = -167 - -163. Put 2, -6, -1, d in ascending order. -6, d, -1, 2 Let t = -72.953 - -73. Let z = 0.447 - t. Sort -2, 0, z in decreasing order. z, 0, -2 Let p be (1/(-3))/((-1)/(18/1)). Suppose -p*i - 18 - 6 = 0. Sort 0, 25, 4, i in descending order. 25, 4, 0, i Suppose 5*a - 132 = 9*a + 4*l, 5*a - 4*l = -120. Sort -3, 5, a in decreasing order. 5, -3, a Let i = -1.524 + 0.124. Let l = -1.2 - i. Sort 6/11, l, -3, 1. -3, l, 6/11, 1 Let p(c) = 9*c + 70. Let g be p(-8). Sort -3, g, 1, -4 in decreasing order. 1, g, -3, -4 Let f be ((-6)/4)/(15/40) + 1. Sort f, 21, 0.9, 0 in decreasing order. 21, 0.9, 0, f Let h(m) = m**2 + 3*m - 3. Let q be h(-2). Let i be 1*-2 + (-3)/(-2). Put -1/19, i, q in ascending order. q, i, -1/19 Let k(n) = n**2 + 10*n - 5. Suppose 10 = -2*b - 5*i, i + 18 = 4*b + 60. Let c be k(b). Let m = 0.41 - 0.01. Put -2/9, c, m in decreasing order. m, -2/9, c Suppose 2 = g - 2*g. Let c(a) = a + 5. Let m be c(-6). Let d = m - -2. Put g, 5, d in descending order. 5, d, g Suppose -4*i + 4*w = -24, i - 4*w + 2*w = 8. Suppose -i*a = 3*t - 6*t + 4, 0 = -t. Let l = -183 - -184. Sort a, l, -4 in decreasing order. l, a, -4 Let y = -142 + 145. Sort y, 1/2, -5, 0.3. -5, 0.3, 1/2, y Let z = -9 + 14. Let n = 7.72 + -4.72. Sort 2/21, n, z in decreasing order. z, n, 2/21 Let o be (((-6)/(-5))/2)/(23/(-115)). Sort -1, 2, o, 1 in ascending order. o, -1, 1, 2 Suppose 147 = -5*u + 117. Put -1, -2, u, -5 in ascending order. u, -5, -2, -1 Let u(z) = -z**3 - 21*z**2 - z - 25. Let p be u(-21). Sort p, 0, 20, -3 in ascending order. p, -3, 0, 20 Suppose -y - 88 = -4*w + 4*y, 3*w - 63 = 3*y. Put 2, w, -3, 0 in ascending order. -3, 0, 2, w Suppose -14*g = -18*g - 80. Let f be (5/g)/(1/(-4)). Sort -1, 4, f in decreasing order. 4, f, -1 Let j be 3/(-4) + (-45)/(-100). Let r = 9/10 + j. Sort 0.3, -3/7, r in decreasing order. r, 0.3, -3/7 Let g(r) = -r**2 + 11*r - 2. Let w be g(10). Let b be w/(-2) + 8 + -3. Put b, 0, 3 in descending order. 3, b, 0 Let g = -12/43 + 578/1763. Let b = 109/287 + g. Let n = 644 + -648. Put n, b, -0.2 in decreasing order. b, -0.2, n Let k be -9 + 12 - 7/1. Let x be 2 + 6 + (-4 - k). Put 3, x, -5 in decreasing order. x, 3, -5 Let s(f) = f**2 - 3*f - 3. Let k be s(4). Let j be (-13 + k)/3 - -3. Let p(b) = -4*b - 16. Let g be p(-4). Put j, -5, g in ascending order. -5, j, g Let n be (6/(-9))/(6/(-441)). Suppose -5*f - 4*o + 87 = 0, -6*f + 3*f = 4*o - n. Let z = 26 - f. Sort z, -5, -4 in descending order. z, -4, -5 Let p = 1622 - 1627. Put -0.3, p, -6 in decreasing order. -0.3, p, -6 Let h = -0.09 + 4.09. Suppose 5*n = -4*x + 55, -n + 3*n - x - 35 = 0. Let l be (4/(-33))/(10/n). Sort l, -0.1, h in increasing order. l, -0.1, h Let x = -1849 - -1851. Suppose 4*n = 3*d + 43, 3*n - 8 = -d + 8. Put n, -2, x, 5 in decreasing order. n, 5, x, -2 Suppose -12*q - 4*q = -11*q. Sort 10, -2, q, -3 in descending order. 10, q, -2, -3 Let n be ((-3 - 4) + 335/65)/(-2). Sort 2/21, -2, n, 13 in decreasing order. 13, n, 2/21, -2 Suppose 0 = -5*t - 41 - 44. Let b(c) = 4*c - 6. Let p be b(5). Let h = p + t. Sort 5, h, 4. h, 4, 5 Suppose -3*y - 6*d = 6 + 12, 0 = -3*y + 3*d. Sort 3, -3, 19, y in ascending order. -3, y, 3, 19 Suppose -26 = 4*b - 30. Put -3, 12, b in decreasing order. 12, b, -3 Let o = 6.7 + -7. Let j = 0.68 - -0.22. Let c = 1 - j. Put c, 1, o in ascending order. o, c, 1 Let i be 6/(-16) + 1 + 46/(-3440). Let d = i - 1/86. Sort d, 5/2, 5, 51 in increasing order. d, 5/2, 5, 51 Let z = 916 + -915. Sort -5/4, z, -77 in ascending order. -77, -5/4, z Let m = -0.4 - -3.4. Let p(b) = 40*b + 276. Let t be p(-7). Sort -0.5, 0, m, t in ascending order. t, -0.5, 0, m Let m = -173 + 178. Let j = 32 - 32.4. Put j, -7/2, m in decreasing order. m, j, -7/2 Let h be 2/12*(-18)/(-4). Let a be ((-316)/36)/(1/(-6)). Let n = -52 + a. Put -2/5, n, h in increasing order. -2/5, n, h Let p(t) = t**2 + 4*t + 6. Let o be p(-3). Let u(i) = 3*i - 4. Let j be u(2). Let g = -140 - -702/5. Put j, o, g in increasing order. g, j, o Suppose -2*n - 25 = -2*j + 3*n, 5*n = -2*j - 25. Let h = 463 + -470. Sort j, h, 5 in increasing order. h, j, 5 Let a = -4 - -1. Let i be -6*(4 - (-28)/(-8)). Let x be ((-2)/3)/(5/45*i). Sort x, -5, a in increasing order. -5, a, x Let y be 2*2 - 0*(-3)/(-12). Suppose 2*v = 0, -b = -2*b + 5*v + y. Sort 0, 3, -5, b in descending order. b, 3, 0, -5 Suppose 3*n + 2*x - 6*x = -11, -5*n - 21 = -4*x. Suppose 25 = -i - u, 0*i + i = 3*u - 5. Let w = 20 + i. Put n, -2, w in decreasing order. w, -2, n Let n be 11/(-22) - (-9)/2. Let h be 3 + (-4 - (-4)/(n/(-1))). Let p = -0.2 + 0.1. Sort p, 2/7, h. h, p, 2/7 Let m be 76/(-18) - (-4)/18. Let i be 7 - (3 + (10 + -2)/m). Sort -4, i, -6. -6, -4, i Let n = 8 + -15. Let l(f) = 4 - 5*f + 4 + 6*f - 2. Let x be l(n). Sort x, 1, 0 in ascending order. x, 0, 1 Suppose 10310*v = 10302*v - 176. Put -1, 4, v in descending order. 4, -1, v Let r(p) = -p**2 + 5*p + 16. Let z be r(7). Let x be 15/3 + z*-1. Suppose 4 = x*c - 5. Put -2, 1, c in increasing order. -2, 1, c Let h = 0.101 - -4.899. Let s = -0.4 - -0.2. Let y = 11 - 10.9. Sort s, y, h in decreasing order. h, y, s Let k(p) = p**2 + p - 35. Let m be k(-6). Suppose 24*y - 3 = 27*y. Sort -4, m, y, 4 in decreasing order. 4, y, -4, m Let q(o) = -3*o**3 + 15*o**2 + 21*o - 21. Let m be q(6). Let r(y) = 2*y - 5. Let p be r(5). Put p, m, -4 in decreasing order. p, m, -4 Let k(x) = -x**3 + 7*x**2 - 19*x + 123. Let p be k(7). Sort -5, p, 8 in decreasing order. 8, -5, p Let o(t) = t**2 + 8*t + 8. Let q be o(-7). Let a be (-12)/(-9)*3 + 0. Suppose -a = 3*s - 2*s. Sort q, -2, s. s, -2, q Let t = 5109/5 - 1021. Put -0.14, t, 0.1, -0.2 in ascending order. -0.2, -0.14, 0.1, t Let r = 201 - 196. Put 4, -5, r in descending order. r, 4, -5 Let x = 21.75 + -22.05. Let r(g) = g. Let l be r(-1). Let k be (3 + l)*1/14. Put 1/4, x, k in descending order. 1/4, k, x Let z(q) = -q**2 + 5*q + 8. Let x be z(6). Suppose -14*g = -m - 19*g + 9, -3*m + 2*g = 7. Let n be (-6)/(3/x*m). Sort n, 1, -2 in increasing order. -2, 1, n Let y = -286 + 285. Put 0.54, y, -4 in increasing order. -4, y, 0.54 Let m = 58 - 58. Suppose 2*u + m = 2. Suppose 2*d - 10 = -f, -2*d + 12 = 2*d - 2*f. Sort u, d, 3 in descending order. d, 3, u Let j = 5.84 - 0.822. Let b = 0.018 - j. Sort 5/4, b, 1/4 in decreasing order. 5/4, 1/4, b Let i(l) = 13*l - 125. Let t be i(10). Sort 53, 3, 4, t. 3, 4, t, 53 Let r = -0.258 + 0.484. Let x = r - 0.116. Sort -1, -0.1, x in decreasing order. x, -0.1, -1 Suppose -18*v + 5*v + 234 = 0. Suppose -4*b + 5*u + 0 + 10 = 0, -31 = -5*b - 3*u. Sort b, v, -3, -5. -5, -3, b, v Let u(a) = -a**3 + 16*a**2 - 59*a - 10. Let d be u(10). Sort 3, -192, d, 5 in decreasing order. 5, 3, d, -192 Let q be (4*1)/(-2 + 3). Let t be 12/(-10)*((-100)/3)/(-10). Suppose 1 = -0*l + l. Put t, l, q in decreasing order. q, l, t Let v = -0.047 - 0.253. Sort v, 0, -0.22 in increasing order. v, -0.22, 0 Let u be (-3)/(-12)*(-108)/15 - -1. Sort u, 2/3, -13, -1. -13, -1, u, 2/3 Let h = 37 - 13. Suppose o = 3*d - 10, o + h = 5*o + 4*d. Let x = o - 2. Sort x, 3, -2 in ascending order. -2, x, 3 Suppose 5*s - 25 = r, 4*r - 10 - 5 = -3*s. Suppose -2*c = 2*c. Put s, -4, 3, c in descending order. s, 3, c, -4 Let o = 361 - 361.1. Sort -2, o, -25, 2 in descending order. 2, o, -2, -25 Suppose u - 5*u = 0. Suppose m = 6*m - 20, 2*t + 4*m - 12 = u. Put t, -3, -9 in descending order. t, -3, -9 Let h = 0.114 + 0.086. Put h, -3, 11, -0.2 in increasing order. -3, -0.2, h, 11 Let d = -1.79 - -1.9. Let t = d + -14.71. Let j = -14 - t. Sort 5, 2/9, j in descending order. 5, j, 2/9 Suppose 0 = -4*o + 4, 3*o = -r - o + 29. Let p = 30 - r. Put p, 3, -9 in descending order. p, 3, -9 Suppose 3*a - 5*s + 4 = -7*s, s - 7 = 3*a. Let g = 4 - 2. Put g, -6, a in ascending order. -6, a, g Let c(p) = -p**3 - 12*p**2 + 29*p + 18. Let k be c(-14). Let n be (1/(-2))/((-2)/20). Put 1, n, -4, k in increasing order. -4, 1, k, n Let t be (0 - 1)*6 - -1. Suppose 3*p = -27*y + 26*y - 12, -5*y - 4*p - 27 = 0. S
{ "pile_set_name": "DM Mathematics" }
22.2? 1060.3522 Work out -0.2 * -75675. 15135 Work out 82337546 * -0.5. -41168773 -29 times -1851407 53690803 8.5 times -20273 -172320.5 Multiply -1859722.38 and 3. -5579167.14 Multiply 5.098106 and 4. 20.392424 -83286024 times 0.5 -41643012 -518 * 27742.3 -14370511.4 -8766*65 -569790 What is 1.8749 times -1149? -2154.2601 Calculate -1.53313*-782. 1198.90766 -303.132 * -26 7881.432 -0.03 * -275.32049 8.2596147 Product of 86 and 2289. 196854 -69704786*3 -209114358 4 times 11128507 44514028 What is the product of -0.03342374 and 0.1? -0.003342374 -288*-12.3287 3550.6656 780620.36 times 0.2 156124.072 What is the product of -17.84 and 0.82312? -14.6844608 What is 7282131 times 2? 14564262 Work out 0.01 * -0.06719084. -0.0006719084 Calculate -3.9*0.20091. -0.783549 2145 times 10.5211 22567.7595 Product of 3.7229809 and 0.3. 1.11689427 What is -4 times -6782847? 27131388 -0.59 * 0.342528 -0.20209152 What is -1.19 times 9998? -11897.62 -0.1*-103.87257 10.387257 Calculate -151490947*1. -151490947 Work out -0.3 * -23439808. 7031942.4 -465.9*2233 -1040354.7 Work out -27 * 119782. -3234114 Multiply -656.3 and 1.7941. -1177.46783 -0.6 times 1120828 -672496.8 -12933234 * -0.21 2715979.14 3.079302*-0.4 -1.2317208 0.317 * -34.325 -10.881025 What is the product of -1 and 6830.647? -6830.647 Product of 4750 and 0.028021. 133.09975 Multiply -110691 and 545. -60326595 0.7*-1746.8077 -1222.76539 What is -499177 times -736? 367394272 What is 0.2 times 257964490? 51592898 Calculate -69*-2330874. 160830306 19 * -20549524 -390440956 Work out -0.5 * 284242359. -142121179.5 Calculate 4568*-0.217. -991.256 15514*36111 560226054 Product of -0.0065 and 189.285. -1.2303525 421847 * -0.685 -288965.195 190*-4.138 -786.22 What is the product of 248313 and -0.87? -216032.31 Calculate 6034*-336. -2027424 -5856351 times 1 -5856351 Product of 0.174 and -2072. -360.528 Multiply -19900297 and 0.07. -1393020.79 Calculate -7*6472.1. -45304.7 Calculate 2*-37254.3. -74508.6 Multiply -61.4047 and -26. 1596.5222 Multiply 0.79454 and -0.03392. -0.0269507968 What is 65.29 times -3115? -203378.35 Multiply -0.005 and 6265. -31.325 -51995.412*-0.5 25997.706 Multiply 3214 and -67.8. -217909.2 -75301*4777 -359712877 697077415*0.4 278830966 Product of 17237685 and 77. 1327301745 1686830253 times -5 -8434151265 Multiply -0.3108 and 78132. -24283.4256 -161.8261 * -0.4 64.73044 Work out 1.2356 * 1.002. 1.2380712 0.12123 times -0.748 -0.09068004 What is -0.4 times -58449522? 23379808.8 Work out -5220 * -974.6. 5087412 Multiply -1362346 and -893. 1216574978 -18.6 times -76830 1429038 What is 184791.83 times 0.5? 92395.915 What is -35 times 109427? -3829945 282 times -398.423 -112355.286 Multiply -0.03528369 and -8.5. 0.299911365 Product of -121 and 207719. -25133999 Calculate 73.6898*0.18. 13.264164 Product of 372.136 and -191. -71077.976 1*-726571.86 -726571.86 0.16 times 1774.84 283.9744 -613769307 times 5 -3068846535 Product of 61 and -42822. -2612142 Multiply -3.807 and -4668.9. 17774.5023 -1150 * 143711 -165267650 Work out 4 * -0.141275062. -0.565100248 What is the product of 6 and -8064.55? -48387.3 Calculate -449.52*-0.5. 224.76 Calculate 0.5*481716.9. 240858.45 Work out 63130.3 * 205.9. 12998528.77 Product of 1124 and -10.45. -11745.8 Calculate 17.7043*0.0752. 1.33136336 What is the product of 4097884 and -5? -20489420 -0.56*-19837766 11109148.96 Product of 3 and 1.866824. 5.600472 What is the product of -0.08 and 1796532? -143722.56 -49 times 233.3698 -11435.1202 Product of 3162.72 and 21. 66417.12 Work out 1 * -363348. -363348 What is -46753.7 times -2? 93507.4 -226275 * -0.75 169706.25 -0.06147 * -79 4.85613 -2.188 * -466 1019.608 -0.19 times -1.569487 0.29820253 What is the product of -0.045 and -317180? 14273.1 Multiply 306.8 and -39156. -12013060.8 0.094701 times 187.04 17.71287504 10 * 20656.2 206562 -0.376 * 0.040728 -0.015313728 Multiply -0.5 and 1000291.78. -500145.89 What is the product of 0.1697 and -1749? -296.8053 Product of -0.3 and -2.285392. 0.6856176 What is 0.027 times -7901? -213.327 Product of 23884221 and -0.2. -4776844.2 What is the product of 0.1 and 86865736? 8686573.6 What is the product of 14364856 and 0.17? 2442025.52 What is -0.307 times 2368966? -727272.562 -3147739 * -3 9443217 Work out 661 * -89.581. -59213.041 Product of 3.3152417 and -10. -33.152417 749.6 * -21.5 -16116.4 2*-11.3714712 -22.7429424 Product of 6.883 and 404. 2780.732 -5 * -166714843 833574215 What is 104.86279 times -71? -7445.25809 -29.3 times -0.04301 1.260193 3.7 times 1280.349 4737.2913 Work out 171384 * -41. -7026744 Product of 334783 and 505. 169065415 83 * 0.088073 7.310059 -3.2 * -1673005 5353616 Work out 3.14 * -401. -1259.14 -6.033043*0.2 -1.2066086 10*1341.1104 13411.104 What is the product of 91.2 and -0.003278? -0.2989536 432*-31674 -13683168 Product of 541049.7 and 45. 24347236.5 2*12.489146 24.978292 -0.2 * -101604795 20320959 25038*-102 -2553876 Multiply -22.5956 and -98. 2214.3688 Calculate -0.00791*-16059. 127.02669 20.495 * 3847 78844.265 Multiply 15.9 and -0.2. -3.18 -25230*-2292.5 57839775 Multiply 1 and -21744. -21744 Product of 351.03011 and -3. -1053.09033 -1.60388 times 823 -1319.99324 Work out -364 * -988491. 359810724 210 times 546358 114735180 Product of -16 and 14418. -230688 Product of -16 and 26402960. -422447360 Product of -0.299678 and 0.323. -0.096795994 -0.3064 times -10.92 3.345888 31.19 * -2.526 -78.78594 -0.14 * -1272826 178195.64 15653769*-9 -140883921 Product of -1.8361 and 2.118. -3.8888598 Multiply 2.31991 and -36. -83.51676 Calculate -1.8*19.252. -34.6536 Calculate 38.2*-0.033136. -1.2657952 Product of 1592302 and 186. 296168172 -127788.28 times 0.3 -38336.484 1822.2653*-0.2 -364.45306 Multiply -951657 and -34. 32356338 Calculate -0.1*-967752. 96775.2 What is the product of 1.054584 and -10? -10.54584 Work out -34754386 * 3. -104263158 Product of -124 and -8.5043. 1054.5332 2.06 * 28316 58330.96 What is the product of -2344432 and 7? -16411024 What is the product of 0.305 and -484680? -147827.4 What is the product of 37 and 203600? 7533200 Multiply -0.18 and -0.22334774. 0.0402025932 Product of 0.9 and 744.7. 670.23 -1.5 times -6091.39 9137.085 Multiply -0.0523 and -26512. 1386.5776 What is -86326.7 times 11? -949593.7 Work out -67 * 167653. -11232751 What is the product of 0.08 and 183580? 14686.4 Calculate 1732486*-0.008. -13859.888 Multiply -0.5 and -15.108486. 7.554243 What is the product of 1.563 and 4728? 7389.864 Calculate 0.5*-6626907. -3313453.5 Multiply 76.42434 and -0.03. -2.2927302 Multiply 15564 and -176. -2739264 What is the product of 68596.1 and -297? -20373041.7 -6665*-61 406565 -0.11958931*17 -2.03301827 0.41804*-2.1 -0.877884 What is 22 times -1.2681262? -27.8987764 0 * 3542659 0 What is the product of 1.72 and 648.27? 1115.0244 Multiply -133705 and -0.557. 74473.685 Work out 70429677 * -8. -563437416 Product of -2 and -447695. 895390 -10*0.313464 -3.13464 Multiply -4 and -387.5085. 1550.034 -11469 * 2672 -30645168 What is the product of 3523.17 and 325? 1145030.25 Calculate 11*-158823.911. -1747063.021 Work out -110958.56 * 0.4. -44383.424 Calculate -656*137205. -90006480 -55.77 * -18038 1005979.26 Multiply 7440739 and 0.2. 1488147.8 What is -5780 times -2.208? 12762.24 Calculate -58040*1.57. -91122.8 Work out 431025.16 * 4. 1724100.64 1910798 * 0.3 573239.4 Multiply 0.8911 and -881.69. -785.673959 0.2 times -401392.48 -80278.496 What is -0.235 times -46.3185? 10.8848475 9186.292 times -0.5 -4593.146 Work out 1.03554 * -4. -4.14216 What is the product of -0.3 and -17045383? 5113614.9 Calculate -1.16*-0.23594. 0.2736904 -17.50506 * -0.1 1.750506 What is the product of -0.1 and -5250312? 525031.2 Product of 0.002 and 830172. 1660.344 Work out 0.2 * 127925109. 25585021.8 Multiply -85.307811 and 0.2. -17.0615622 What is the product of 0.8 and -0.193904? -0.1551232 Multiply -0.001 and 53.3304. -0.0533304 Product of 2.9252 and 7021. 20537.8292 What is the product of -43.3291 and -9? 389.9619 Calculate -17*-11126018. 189142306 What is the product of 6317.6 and 95? 600172 Work out -16073423 * 0.04. -642936.92 -3740819*-0.2 748163.8 Product of 17904387 and 0.3. 5371316.1 -79005 * 3602 -284576010 What is 2843 times 40615? 115468445 Prod
{ "pile_set_name": "DM Mathematics" }
ve -245*z = -x - 249*z - 2, -8 = -3*x + 2*z for x. 2 Solve -2*c - 34 = -4*s, 601 = 3*s + c + 593 for s. 5 Solve 2*k - 3*j = 5, -3*k - 120*j = -121*j - 11 for k. 4 Solve -240*s = -236*s + m - 14, -5*s = -m - 31 for s. 5 Solve 2*z - 2*d = 4, 29 = -3*z - 23*d + 19*d for z. -3 Solve 5*a - 1 = -j, -5*a = 2*j + 8581 - 8568 for j. -14 Solve 2*v = 2*h + 6, 5*v - 196 + 185 = 4*h for h. -4 Solve 3*q + 271 = 5*j + 138 + 137, -2*q = 4*j - 32 for q. 8 Solve u + 31 = 3*d + 41, -3*u + 39 = -12*d for u. 1 Solve 5*l + f = -18, 54*l - 51*l + 20 = 4*f for l. -4 Solve 0 = 48*u + 288, 5*c + 14 = 243*u - 242*u for c. -4 Solve -4*k = 3*c - 293 + 307, -5*k + 2*c = 29 for k. -5 Solve -23*i = l - 24*i + 5, -10 = -5*l - 2*i for l. 0 Solve 22*k - 41*k = -21*k - 8, 4*c = 2*k - 4 for c. -3 Solve o + 507*l - 9 = 511*l, 2*o = -2*l - 2 for o. 1 Solve 39 = 5*r + 2*i, -3*i + 165 = 3*r + 138 for r. 7 Solve -5*r + 957*l - 10 = 958*l, -6*r - 2*l = 12 for r. -2 Solve 0 = p + 4*n - 9, 0 = 22*p - 26*p + 5*n - 27 for p. -3 Solve -3*i - 10 = 4*k, 7*i - 50*k = -48*k - 12 for i. -2 Solve 124 = -3*m - s + 120, 0 = 4*m + 4*s for m. -2 Solve -4*k + r + 34 = 0, 5*k - 1002 + 970 = -4*r for k. 8 Solve -2*p - 5*o = 3*p, 0 = p + 3*p - 7*o - 22 for p. 2 Solve 4*h + 630*j - 14 = 632*j, -j = -5*h + 25 for h. 6 Solve 33670*p + 5*z + 37 = 33673*p, 0 = 5*p + 5*z + 5 for p. 4 Solve p + d = -2*d + 17, 105 = -4*p - 10*d + 163 for p. 2 Solve -3*x = 2*t - 15, 5*t - 4*x + 9*x - 35 = 0 for t. 6 Solve 8*h + 5*i - 11 = -26, -3*h + 2*i - 25 = 0 for h. -5 Solve 0 = 5*x + 4*i - 24, -4*x + 2*x - 3*i = -11 for x. 4 Solve 0 = -3*f + 4*z - 23, -24*f + 29*f = -2*z - 21 for f. -5 Solve 3*r = 3*z + 12, 3*z - 593*r + 2 = -592*r for z. 1 Solve 4*o - 5*u - 4 = 0, 575*u = 4*o + 578*u + 28 for o. -4 Solve 0 = 5*d + 65, 11*s + d - 622 + 668 = 0 for s. -3 Solve -3*r = 3*l + 36, -4*r - 44 = -1665*l + 1668*l for r. -8 Solve 3*w = 3*y - 36, 7 - 37 = 6*w for y. 7 Solve 198*f = 195*f - 3*b, 4*f = 3*b + 35 for f. 5 Solve -q = 398*d - 402*d - 30, -3*d = q + 26 for q. -2 Solve 3*j + 2*b - 15 = 0, 8*j + 56*b = 58*b + 40 for j. 5 Solve 4*q + 3*s + 259 = 282, 2*q = -5*s + 43 for q. -1 Solve 3*x = y + 11, x - 1489*y + 1490*y = 5 for x. 4 Solve -26*m + 72 = 3*c, -4*c + 6332 = 4*m + 6328 for c. -2 Solve -42*d + 47*d - 28 = -f, 2*f + 19 = 5*d for d. 5 Solve -496*k = -f - 497*k + 4, -5*k + 27 = -2*f for f. -1 Solve -5*n + w = -17, -2*n = -5*w + 1052 - 1091 for n. 2 Solve 2*f = 2*p + 2, 5*f + 1406 = 1411 for p. 0 Solve 24 = -2*t + 5*k, -66 = 6*t - 3*k - 18 for t. -7 Solve 34 = -2*g - a, 18326*g - 18321*g + 55 = 5*a for g. -15 Solve -2*z - t - 35 = 5*z, 0 = 5*t + 37 - 2 for z. -4 Solve -6*a = t + 58, -2*a + 5952 - 5990 = 5*t for t. -4 Solve 4*h + 452 = -m + 469, 2*m - 5*h + 18 = 0 for m. 1 Solve -27 = 3*p - 3*d, 4131*d + 24 = 4135*d for p. -3 Solve -88*u + 3*t = -87*u + 20, -5*u - t - 4 = 0 for u. -2 Solve -30 = -4*r + 3*j - 29, -76*r - 5*j + 225 = -26*r for r. 4 Solve -5*f - 154 + 112 = -2*n, -3*n - 5*f + 63 = 0 for n. 21 Solve 4*n + 0*h = -h - 10, 0 = 3*n + 4*h + 14 for n. -2 Solve 20*y = 2*w - 102, -2*w + 1892*y + 27 = 1887*y for w. 1 Solve -3*a + 5*t - 22 = 0, -6*a - 2*t - 8 = -3*a for a. -4 Solve 0 = 3*k - 12, 0 = 58*h - 63*h + k + 51 for h. 11 Solve 3*j + h = 8, -2*h = 5432*j - 5428*j - 12 for j. 2 Solve -4*t = 5*k + 11, -6 = 142*k - 144*k + t for k. 1 Solve -4*t = 4*o - 32, 4*o + 255*t = 250*t + 35 for o. 5 Solve 119*l - 121*l = 2*z - 10, 0 = 2*l - 4*z - 10 for l. 5 Solve 3*n = -13*i + 8*i - 37, 17 = n - 2*i for n. 1 Solve 5*m + 5*g + 10 = 0, 0 = 3*m + 7*g + 4*g + 38 for m. 2 Solve -5*w - 5*y = -8*y + 3, -4*y + 4 = -w for w. 0 Solve t + 164 = 173, 3*t = 3*f + 15 for f. 4 Solve -5*u = 4*v - 13, 5*u + 896*v - 897*v - 3 = 0 for u. 1 Solve 0 = -3*w - 3*l + 21, -1468*l = w - 1469*l + 1 for w. 3 Solve -5*m = 390*v - 392*v, 4*m - 4*v + 12 = 0 for m. 2 Solve 38*k - 42*k + 16 = -2*w, 13 = 3*k - 2*w for k. 3 Solve -8005*f + 22 = -8010*f + l, -2*f + 5*l = -5 for f. -5 Solve -5*r = 0, -8*v - r + 7 = -3*v - 8 for v. 3 Solve -2*l - 4*b - 2 = 0, -144*b + 6 = -6*l - 146*b for l. -1 Solve -t = 2*v - 7, 547 = 2*v + 2*t + 537 for v. 2 Solve -23 = 5*z + 39*o - 36*o, 5*z - 2*o + 43 = 0 for z. -7 Solve 87*k = 2*u + 82*k + 34, 5 = 5*u + 10*k for u. -7 Solve 0 = -5*i - 5*f + 5, 19 = -i + 5*f + 20 for i. 1 Solve 5*z = 5*i - 140, -4148*i - z - 44 = -4153*i for i. 4 Solve -5806*w = -4*z - 5803*w - 2, 4*z - 4*w = 0 for z. -2 Solve 317*a - 2*c + 14 = 318*a, -4*a + 36 = 4*c for a. 4 Solve -5*a + b = -33, 2*a - 412*b + 409*b = 8 for a. 7 Solve -i - 18*k + 77 = 0, -i = 51*k - 50*k - 9 for i. 5 Solve -5*q + 48 = 2*p, -104*q + 103*q + 32 = 2*p for q. 4 Solve -2*c + 9*k - 5*k = -28, 11*k + 55 = 0 for c. 4 Solve 3*c = 5*t, 5*c + 4*t + 147 = 184 for c. 5 Solve -n = -3*u + 6, -3*n + 7*u = 3*u + 18 for n. -6 Solve 2*o - 10 + 20 = o + 4*m, 32*m - 64 = 0 for o. -2 Solve -3*u - 2*n - 6 - 8 = 0, 0 = -3*u + 5*n + 14 for u. -2 Solve -863*x + r - 11 = -861*x, 5*x + 4*r = -34 for x. -6 Solve 3*u + 23 = -4*z, -5*u - 5*z - 5 = -6*u for u. -5 Solve 0 = -43*a + 39*a + 2*s + 26, -4*s = a + 16 for a. 4 Solve -153*v + 156*v - 15 = 0, g = 4*v - 16 for g. 4 Solve p + 4*f - 21 = 0, -2*p + 3*f = -7*p + 20 for p. 1 Solve -2*m - 3*j = 11, -5341*j + 5344*j = 5*m + 17 for m. -4 Solve -r = 4*f + 55, -2*r - 70*f + 70 = -74*f for r. 5 Solve 6*z = -54*y + 49*y + 20, 0 = -z + 5 for y. -2 Solve -4*c - 283 + 257 = 2*j, -2*j = -c + 6 for c. -4 Solve -2*m = o - 3, 129*m - 128*m + 12 = 4*o for o. 3 Solve 616*w = 620*w - a - 4, 4*w - 4*a + 23 = w for w. 3 Solve 2*x = -z - 310 + 306, 5*x - 9*z - 59 = 0 for x. 1 Solve n + 4423*r - 3 = 4420*r, -5*r + 7 = n for n. -3 Solve 5*l + 39 = 2*j, -8*j = -2*j + 5*l - 97 for j. 17 Solve 2*x + 2*t - 8 = 0, 129*x + 9 = 130*x - 4*t for x. 5 Solve 0 = 6*f - 4*s + 18, -4716*f + 4712*f + 3*s - 14 = 0 for f. 1 Solve -3*n - 47 = 4*g - 27, -4*n + 3*g - 10 = 0 for n. -4 Solve 2*y + 4*c + 8 = 0, -4*y - c - 23 = -28 for y. 2 Solve -b - 2*i - 48 = -30, 6*b + 3*i = -9 for b. 4 Solve -91*u - 5*x - 35 = -95*u, -4*u + 3*x + 29 = 0 for u. 5 Solve 14 = 6*x - i, 0 = 2*i + 4969 - 4989 for x. 4 Solve -20*f = -18*f - 5*m, 0 = 4*f + 2*m + 2*m - 8*m for f. 0 Solve 163*i - 158*i = -9*v - 47, i + 19 = -5*v for i. -4 Solve -6*h + 5 = -1, -3*b + 2*h + 7 = 0 for b. 3 Solve 1254*z + 56 = 4*g + 1249*z, -7*g = -z - 67 for g. 9 Solve 5*u + 21 = -z, 10*z = 4*u + 12*z + 18 for u. -4 Solve 4*b + 5*a = 35, 1319*a - 1324*a = -15 for b. 5 Solve 14 = 5*u - o, -221 = -5*u - o - 225 for u. 1 Solve -4*w = -2*d - 14, 5*d - 45*w = -42*w - 14 for d. -1 Solve 3*d - 18 = -9*j, 0 = j - d - 268 + 270 for j. 1 Solve l + 6 = -47*s + 45*s, 9*s + 12 = 3*l for s. -2 Solve 37*s - 72*s = 4*b - 38*s - 14, 2*s + 17 = -5*b for b. -1 Solve 5*w + 104 = -3*y + 75, 2*w - 10 = 0 for y. -18 Solve -5*l + 30 - 60 = -5*c, -4 = -l for c. 10 Solve 3*t = 2169*k - 2172*k - 54, -4*k = t + 27 for k. -3 Solve -4*h + 2*c - 7624 = -7608, -5*c - 2 = -3*h for h. -6 Solve -5*v - 203*p + 208*p + 30 = 0, -29 = v + 4*p for v. -1 Solve -4*a - 3*l + 14 = 0, -63*a - l - 22 = -67*a for a. 5 Solve 3*m - 19 = 4*b, -24 + 44 = -4*b + 4*m for b. -4 Solve -5*c + 3*r = -85, -4*r - 47 = -4*c + 29 for c. 14 Solve 2*t + 10 = -14*u, -5*u - 7*t = -3*t + 43 for u. 1 Solve -2*t + 4*x = -8, -30 = -2*t + 11*x - 8 for t. 0 Solve 3*u + 12 = -31*k + 33*k, 7*k = u + 4 for k. 0 Solve k - 4 = -4*f, 233 - 237 = -5*k - 4*f for k. 0 Solve -2*s = t - 15, 860*t + s = 859*t + 9 for t. 3 Solve -4*s + 60 = 2*k, 4*s - 108 - 24 = -5*k for s. 3 Solve 0 = -b + 2*i + 16, -5*b - 56*i + 60*i + 50 = 0 for b. 6 Solve 0 = x + h + 3, -19*x + 18*x = 5*h - 9 for x. -6 Solve 0 = -736*l + 737*l - 3*p + 16, 5*p - 32 = 3*l for l. -4 Solve 5*v - 58 = 14*o - 16*o, -4*o - 2*v = -20 for o. -1 Solve 3*f - 4*w - 37 = 0, -5*f + 36 = -85*w + 82*w for f. 3 Solve -3*s + q = 5, -2 = 3*s - 1168*q + 1164*q for s. -2 Solve 0 = 4*z - 9*z, -54*c + 58*c - 3*z = -4 for c. -1 Solve 4*o - 15 = j, 14 - 9 = 5*j - 4*o for j. 5 Solve 0 = -4*a + 44, -22*a + 1 = -2*i - 21*a for i. 5 Solve f = 3*a - 26, 2823*a + 6*f = 2824*a - 71 for a. 5 Solve 2*s - 5*v - 17 = 0, -7*v = -s - 16 + 38 for s. 1 Solve -58*c + 47 = -f - 54*c, -2*f + 27 = 3*c for f. -3 Solve -2 = y - 3*g + 7 - 4, 0 = -5*y + g + 3 for y. 1 Solve 3*n + 7 = 8*m, 20*n +
{ "pile_set_name": "DM Mathematics" }
ivative of -301*b**4 + 9109*b**2 - 9043*b**2 + 1527*b**4 wrt b. 29424*b Let c(r) = -r - 11. Let d be c(-13). Suppose z - 3*i - 1 = 2*z, -d*i = 2*z - 6. Find the second derivative of 14*k**z - 3*k - 16*k + 6*k wrt k. 280*k**3 What is the third derivative of 1385*u**5 - 100*u - 18154 + 5*u**2 + 2*u**4 + 18154 wrt u? 83100*u**2 + 48*u Let f(y) be the second derivative of y**4/12 - 5*y**3/6 + 31*y**2/2 + 25*y. Let c be f(5). What is the second derivative of 15*z**3 + 4657 - 4657 - c*z wrt z? 90*z Let x(q) be the first derivative of -q**8/210 + 13*q**4/24 + 55*q**3/3 - q**2 - 78. Let i(d) be the third derivative of x(d). Differentiate i(n) wrt n. -32*n**3 Let y(o) = -33*o + 3. Let q be y(-3). Let z = -3 + q. Differentiate 14 - 21*w**4 + z*w**2 - 99*w**2 wrt w. -84*w**3 Let x(h) be the second derivative of 7/2*h**3 - 173*h + 1/10*h**5 + 0 + 45*h**2 + 0*h**4. What is the derivative of x(q) wrt q? 6*q**2 + 21 Let p(s) = -1188*s - 144. Let l = -68 - -96. Let w(m) = -216*m - 26. Let n(g) = l*w(g) - 5*p(g). Differentiate n(k) wrt k. -108 Let v(i) be the third derivative of 7709*i**4/24 + 5071*i**3/6 + 6119*i**2. What is the first derivative of v(t) wrt t? 7709 Let r(l) be the third derivative of l**7/70 + 23*l**6/8 + l**5/30 + 311*l**4/24 + l**3/2 - 252*l**2 - 12. Find the third derivative of r(d) wrt d. 72*d + 2070 Let z(f) = 26522*f**2 - 595*f + 25493. Let j(k) = -8841*k**2 + 210*k - 8498. Let h(c) = -17*j(c) - 6*z(c). What is the derivative of h(o) wrt o? -17670*o Let w(r) = -r - 9. Let h be w(-13). Differentiate -46*g**h + 4 - 39 + 31*g**4 wrt g. -60*g**3 Let i(g) = 6*g**2 - 1. Let n be i(-1). Suppose 4*q - n*q = -2*p - 14, 16 = -4*p. Differentiate 21*b**4 - 25 + 51 - q with respect to b. 84*b**3 What is the third derivative of -2755*o**2 + 2499*o**2 + 937*o**3 - 3 + o + 7 - 3 + 0 wrt o? 5622 Let j = -258 + 400. Let c = j + -95. Find the second derivative of 51*r**3 - c*r**3 - r + 21*r**3 wrt r. 150*r Let b(f) = 2*f**3 + 11*f**2 + 3*f + 15. Let v be b(-5). Find the second derivative of 16*d**4 + v*d**4 - 2 + 3 - 6*d + 13*d**4 wrt d. 648*d**2 Suppose 3 = 3*a, 2*h - 3*a - 2*a - 10761 = 0. Differentiate -72 + 5369*s**4 - h*s**4 - 72 - 6*s**3 wrt s. -56*s**3 - 18*s**2 Let y be (-27)/(-15) - 2/30*-3. Suppose 4*l - 6 = 46. Differentiate 3*q + l - y*q**3 - 2*q - q wrt q. -6*q**2 Find the first derivative of -756*p**4 + 3258 - 1228 - 1114*p**4 wrt p. -7480*p**3 Let h(k) = 303*k**3 - 4*k**2 + 3*k + 1070. Let v(b) = 908*b**3 - 11*b**2 + 9*b + 3216. Let y(t) = -11*h(t) + 4*v(t). What is the first derivative of y(j) wrt j? 897*j**2 + 3 Let p(c) = -741*c + 206. Let h(y) = 2999*y - 825. Let l(s) = -2*h(s) - 9*p(s). Differentiate l(q) with respect to q. 671 What is the first derivative of -1512 + 198*b**3 - 5*b**2 - 18*b**2 - 371*b**3 + 100 + 179*b**3 wrt b? 18*b**2 - 46*b Let r(u) be the first derivative of 4804*u**5/5 + 3067*u**3/3 - 2507. Find the third derivative of r(a) wrt a. 115296*a Suppose 0 = -8*y + 6*y - 3*r + 20, -r - 12 = -4*y. What is the second derivative of 95*a + 22*a**4 - 3*a**4 - 3*a**y - 15 - 96*a wrt a? 192*a**2 Let r(a) be the second derivative of a**6/2 - 26*a**5/5 + a**3/3 + 1537*a**2/2 + 2224*a. Find the second derivative of r(o) wrt o. 180*o**2 - 624*o Let x(t) be the first derivative of -3091*t**2/2 + 1970*t - 3043. Differentiate x(i) with respect to i. -3091 Let y(d) be the first derivative of 1425*d**2 + 3212*d - 2559. What is the derivative of y(f) wrt f? 2850 What is the third derivative of 260*r**3 + 8*r + 125*r**2 - 9*r - 209 - 121*r**2 + r wrt r? 1560 Let u(i) be the third derivative of -2519*i**5/12 - 3473*i**3/3 - 4*i**2 + 12*i - 1. Differentiate u(c) with respect to c. -25190*c Find the third derivative of 30 + 20*r**6 + 7*r**6 - 58 + 32*r**6 - 3*r**4 - 56 - 2*r**2 wrt r. 7080*r**3 - 72*r Let g(w) = -896*w**3 - 146*w**2 + 15*w - 5. Let m(p) = -p**3 - 3*p + 1. Let h(s) = -g(s) - 5*m(s). Find the third derivative of h(r) wrt r. 5406 Suppose -42 = -3*r - 4*t + 35, -5*t - 82 = -2*r. Find the second derivative of 18*f**2 + 12*f**2 - 12*f**2 + r*f**2 + 51*f wrt f. 98 Suppose 0 = 4*t + 4*c - 272, t - 4*c + c = 60. Suppose 4*f = t + 78. Find the second derivative of 13*l - f*l + 13*l - 3*l**5 wrt l. -60*l**3 Let g = 131 + -129. What is the second derivative of 23*o - 40*o**3 - 37 + g*o**2 + o + 38 + 3*o + 9*o wrt o? -240*o + 4 Let i(u) be the first derivative of -5647*u**3/3 + 578*u**2 - 2*u + 4356. What is the second derivative of i(k) wrt k? -11294 Suppose 0 = -a - 3*a + 5*p + 185, 4*a + 4*p - 176 = 0. Let v be 5*(4/6 - (-6)/a). What is the third derivative of -2*y**2 - 9*y**4 - 9*y**4 - 3*y**v wrt y? -504*y Let g(d) be the second derivative of 7*d**5/20 + d**4/12 - 139*d**3/6 - 1207*d**2 + 4799*d. What is the first derivative of g(m) wrt m? 21*m**2 + 2*m - 139 Let l(o) = 1133*o**6 - o**5 - o**4 - o**3 + 829*o**2. Let h(s) = -s**5 - s**4 - s**3 - s**2. Let i(t) = h(t) - l(t). Find the third derivative of i(g) wrt g. -135960*g**3 Let m = -45 + 53. What is the first derivative of 2*l**2 - 4*l**2 + m + 97*l - 10 + 4*l**2 - 49 wrt l? 4*l + 97 Let z(b) be the first derivative of 907*b**6/6 + 2*b**3/3 + 611*b**2 - 1449. What is the second derivative of z(w) wrt w? 18140*w**3 + 4 Let n(t) be the third derivative of -92*t**7/35 - t**6/60 + t**5/30 - 13*t**4/4 - 6*t**2 - 177*t. Find the third derivative of n(j) wrt j. -13248*j - 12 Suppose 8*j = 60 - 36. Find the first derivative of 4*s**j + 127 - 11*s**2 - 33*s**4 - 3*s**3 - 3*s**4 + 11*s**2 wrt s. -144*s**3 + 3*s**2 What is the third derivative of -75*s**2 - 466*s**2 + 433*s**5 - 67*s**2 + 1110*s**5 - 81*s**2 wrt s? 92580*s**2 Suppose -15*g + 136 = 91. Let a(b) be the first derivative of 7/2*b**4 - 14*b + 0*b**g + 0*b**2 + 15. Differentiate a(y) wrt y. 42*y**2 Let v(z) be the second derivative of -1163*z**8/56 - z**4/12 - 65*z**3/3 + 1801*z. Find the third derivative of v(y) wrt y. -139560*y**3 What is the first derivative of -17*q**3 - 103*q**3 + 47*q**3 - 80*q**3 - 23*q**3 + q**4 - 1325 wrt q? 4*q**3 - 528*q**2 Let l(p) be the second derivative of 583*p**4/3 - 119*p**3/2 - p**2/2 + 2317*p. Find the second derivative of l(f) wrt f. 4664 Find the third derivative of 219069*v**5 - 868*v**2 - 3706*v**2 - 216354*v**5 wrt v. 162900*v**2 Let y be (-6)/10 + (25988/1095 - (-4)/(-30)). Let b(j) be the first derivative of -5 - 22/3*j**3 - y*j + 0*j**2. What is the derivative of b(a) wrt a? -44*a Let h = -85 + 185. Suppose 3*g - 5*m - h = -2*g, -3*g + 62 = -m. What is the derivative of -28*v + g*v + 21*v - 9 wrt v? 14 Let q = -1/4015 + 36139/16060. Let u(x) be the first derivative of 6 + 0*x**3 + 13/2*x**2 + q*x**4 + 0*x. What is the second derivative of u(j) wrt j? 54*j Let i = 2039 - 2039. Let h(f) be the second derivative of 1/3*f**6 + 0*f**5 + i*f**4 + 0*f**3 - f - 2*f**2 + 0. What is the first derivative of h(t) wrt t? 40*t**3 Let b(g) = 11*g**3 + 2*g - 4. Let u(a) = -7652*a**3 - 10*a**2 - 8*a + 104. Let t(r) = -6*b(r) - u(r). Find the third derivative of t(k) wrt k. 45516 Let q(x) be the second derivative of 4281*x**5/20 + 1509*x**2 - 2483*x + 1. Find the first derivative of q(g) wrt g. 12843*g**2 Let z(y) be the first derivative of -2579*y**4/4 + 203*y**2/2 + 3*y - 2793. Find the second derivative of z(k) wrt k. -15474*k Let y(g) be the first derivative of g**3 - 780*g**2 - 7224*g + 819. What is the first derivative of y(q) wrt q? 6*q - 1560 Let a(q) be the third derivative of 18*q**2 - 37/2*q**3 + 4 + 0*q + 0*q**4 - 1/30*q**5 + 17/40*q**6. What is the third derivative of a(y) wrt y? 306 Let t(r) be the first derivative of r + 4 - r**3 + 46*r**2 + 5/4*r**4. Find the second derivative of t(a) wrt a. 30*a - 6 Let j(f) = 49*f**3 + 46*f**2 - 14. Let u(w) = -w**3 + 2. Let m = -279 + 281. Let a(i) = m*j(i) + 14*u(i). What is the third derivative of a(d) wrt d? 504 Let n(r) be the second derivative of -11/3*r**3 + 167*r - 61/2*r**2 - 1/4*r**4 + 0. Differentiate n(j) with respect to j. -6*j - 22 Let k(i) = i + 4. Let g be k(-1). Find the third derivative of 1118*m**g + 129*m**2 + m**6 - 1093*m**3 - 2*m**6 wrt m. -120*m**3 + 150 Find the second derivative of 2018*u**2 + 548*u + 469*u**2 - 375*u - 599*u wrt u. 4974 Find the first derivative of 446 + 43 + 1750 - 376*b + 376*b - 838*b**2 wrt b. -1676*
{ "pile_set_name": "DM Mathematics" }
rivative of 112*m**2 + 40345*m + 13384469? 224*m + 40345 Find the third derivative of -2049*k**3*r**3 - 6*k**3*r**2 + 37*k**3 - 51*k**2*r**2 - 26*k**2 + 21*k*r**3 + 280*r**3 wrt k. -12294*r**3 - 36*r**2 + 222 What is the second derivative of -33*y**4 - 7*y**3 - 2966*y**2 - 839101792*y? -396*y**2 - 42*y - 5932 Find the first derivative of 2*h**3 + 14013*h**2 + 6994642 wrt h. 6*h**2 + 28026*h What is the derivative of 3203575*n - 5787693? 3203575 Find the first derivative of -1582*u**4 + 4*u**3 - 86*u + 7018199 wrt u. -6328*u**3 + 12*u**2 - 86 What is the third derivative of -2*o**5 - 58*o**4 + 469*o**3 + 6113061*o**2? -120*o**2 - 1392*o + 2814 What is the third derivative of -124*f*v**4 - 50*f*v**2 + 4*f*v - 4*v**4 + 22918*v**3 - 2*v**2 - 12*v + 2 wrt v? -2976*f*v - 96*v + 137508 What is the third derivative of 53*i**4*y + 2*i**4 + 3047*i**3*y - 2*i**3 + 5119*i**2 - 1268*y wrt i? 1272*i*y + 48*i + 18282*y - 12 Differentiate -6101138*g**2*s**3 - 171*g**2 - 8*g - s**3 - 8975 wrt s. -18303414*g**2*s**2 - 3*s**2 Find the third derivative of 7907300*c**5 + 7461*c**2 + 2*c + 2. 474438000*c**2 Find the first derivative of 22*g**2*t**2*u + 3*g**2*t + 287029*g**2*u + 2*g**2 - 788664*g*t**2 wrt u. 22*g**2*t**2 + 287029*g**2 What is the third derivative of 209436622*o**3 - 8*o**2 - 3*o - 1433676 wrt o? 1256619732 Find the second derivative of 151311893*d**2*s**2 - 8*d**2*s + 56*d**2 - 27879*d wrt s. 302623786*d**2 What is the derivative of -6665240*y**4 - 3953227? -26660960*y**3 Differentiate 137185704*h*w**3 - 9536*w**3 + w**2 - 115*w + 8 wrt h. 137185704*w**3 What is the second derivative of -19*j**4 - 107920*j**3 + 2*j**2 - 18538216*j wrt j? -228*j**2 - 647520*j + 4 Find the third derivative of 3181*d**4 + 1111*d**3 - 16901*d**2 + 16. 76344*d + 6666 Find the second derivative of 1929*s**4 - s**3 - 132*s**2 - 28147*s - 80. 23148*s**2 - 6*s - 264 What is the second derivative of 25370926*q**4 - 16282182*q + 1 wrt q? 304451112*q**2 What is the derivative of -2*p**3*r - 3514510*p**2*r**2 + 496*r**2 + 81*r + 7 wrt p? -6*p**2*r - 7029020*p*r**2 What is the third derivative of -9093134*b**4 - b**2 + 14676879? -218235216*b Find the second derivative of -6513494*b**2 - 8880*b - 140. -13026988 Find the second derivative of 4*b**3*n**2*w + 6875*b**3*n**2 + 12*b**3*n*w - 2*b**3 - 2*b**2*n - 6*b*n*w + 1160*b*w - 1389*n**2 - 14*n*w wrt n. 8*b**3*w + 13750*b**3 - 2778 What is the second derivative of -178*l**3 + 21241*l**2 + 1023*l - 5416 wrt l? -1068*l + 42482 Find the second derivative of -23*o*r**2 - o*r + 3*o + 2*r**3 + 615730*r**2 - 13695120*r wrt r. -46*o + 12*r + 1231460 Find the third derivative of -8139*c**6 + 327*c**4 + 12*c**2 + 193963 wrt c. -976680*c**3 + 7848*c Find the second derivative of -73091*h**2*x + 3277*h**2 + 3*h*x - 392*h - 21*x - 40 wrt h. -146182*x + 6554 Find the second derivative of 15413372*u**4 - 44424*u + 102. 184960464*u**2 What is the first derivative of -1752551*s**2 + 1538910 wrt s? -3505102*s What is the second derivative of -4171*c**2*t**2 - 996*c**2 + 2*c*t**2 + 35*c*t - 2*t**2 + 138*t - 7 wrt c? -8342*t**2 - 1992 What is the derivative of 955999460*h**3 - 265643533 wrt h? 2867998380*h**2 Find the third derivative of -1617522*i**6 + 78*i**3 - 616447543*i**2 wrt i. -194102640*i**3 + 468 Find the first derivative of -j**3*s + 316011976*j**3 - 40964235*s**3 wrt s. -j**3 - 122892705*s**2 Find the first derivative of 18*d**2*x + 376676515*d**2 + 15*d*x**2 - 14379*d*x wrt x. 18*d**2 + 30*d*x - 14379*d What is the second derivative of -107808*v**2*z + 5*v**2 - 30662*v*z + 2*v - z + 1 wrt v? -215616*z + 10 What is the third derivative of 10104*k**5 - 87*k**4 + 103906*k**2 - 12*k? 606240*k**2 - 2088*k What is the second derivative of -176960006*o**5 + 176525760*o? -3539200120*o**3 What is the second derivative of -3789*l**3*x**3 + 77332*l**2*x**3 + 117596*l*x**3 + 89*l*x**2 + 3*l wrt l? -22734*l*x**3 + 154664*x**3 Find the third derivative of -103*o**6 - 2*o**4 - 602015*o**3 + 827676201*o**2. -12360*o**3 - 48*o - 3612090 What is the derivative of 5782985*i*n - 3378*n - 1796 wrt i? 5782985*n What is the second derivative of -12303124*o*p**2 - 191406*o*p + o - 2*p + 6 wrt p? -24606248*o Find the second derivative of 34472428*y**2 + 142569079*y. 68944856 What is the second derivative of -11*v**3 + 20937117*v**2 + 79623103*v + 3? -66*v + 41874234 What is the third derivative of 19988*b**3*s + 1294*b**3 - 6832*b**2*s + 8*b**2 - 140*b wrt b? 119928*s + 7764 Find the second derivative of -4006972*d**2*w**3 + d**2*w**2 - 2*d*w**3 - 8*d*w**2 + 3*d*w + 597*w**2 - 27 wrt d. -8013944*w**3 + 2*w**2 Find the second derivative of -37015004*o**2 - 5815078*o - 4 wrt o. -74030008 What is the second derivative of -8*b*f*g**2 - b*f*g - 491*b*f + 523*b*g**2 + 19*b*g - 2*b + 55*f*g**2 - 2*g**2 + 5 wrt g? -16*b*f + 1046*b + 110*f - 4 What is the first derivative of 151373208*w**2 - 58692575? 302746416*w Find the first derivative of 2*p*y**2 - 3533449*p*y + 41179966*p wrt y. 4*p*y - 3533449*p Differentiate -l*q*y**3 - 112*l*q*y**2 + l*y**3 - 261*l*y**2 - 61*l*y*z + 3*l - q*y**3*z - 14029*y**3*z - 6*y wrt z. -61*l*y - q*y**3 - 14029*y**3 Differentiate 3052696*t - 6776174 with respect to t. 3052696 Find the second derivative of -13889138*k**2 - 10084278*k wrt k. -27778276 What is the derivative of -3237490*g + 46118101? -3237490 What is the first derivative of 2*v**4 - 18*v**2 - 95930*v + 486542499 wrt v? 8*v**3 - 36*v - 95930 Find the second derivative of -5*m**4*u - 206*m**3 - 65806*m**2*u - 4256*m + 20*u - 700 wrt m. -60*m**2*u - 1236*m - 131612*u Find the first derivative of -329*a**3*b + 27*a**3 + 39*a**2*b - 12*a**2 + a*b + a + 50*b + 45 wrt b. -329*a**3 + 39*a**2 + a + 50 Find the third derivative of -23747861*s**3 + 2896*s**2 - 590*s wrt s. -142487166 Find the third derivative of -3324447*g**5 + 6135413*g**2 - 2. -199466820*g**2 Differentiate -3*c*o**2 + 1570112*c + 15480864*o**2 - 28 with respect to o. -6*c*o + 30961728*o What is the second derivative of -1609105*w**4 + 101*w**2 + 727*w + 60478 wrt w? -19309260*w**2 + 202 Find the third derivative of 27131723*p**5 - 6961840*p**2 + 2*p. 1627903380*p**2 Find the third derivative of -696897685*y**3 - 92768097*y**2 - 2. -4181386110 Find the second derivative of 51*z**4 + 591*z**3 + 142*z**2 - 8304732*z - 4. 612*z**2 + 3546*z + 284 Differentiate 2165314*d**3 + 12*d**2 - 18659435 with respect to d. 6495942*d**2 + 24*d What is the derivative of 40230986*w**3 - 16782254 wrt w? 120692958*w**2 Find the third derivative of -816787*u**3 + 2*u**2 + 3187885*u wrt u. -4900722 What is the third derivative of 6358886*i**3 - 1141*i**2 - 1235? 38153316 Find the third derivative of 11453473*r**3 - 2*r**2 - 1650453. 68720838 Find the third derivative of 3101865*z**4 + 9*z**3 - 86839203*z**2 wrt z. 74444760*z + 54 Find the third derivative of -1874805*d**4*k + d**4 + d**2*k + 122*d**2 - d + 31*k - 2 wrt d. -44995320*d*k + 24*d What is the first derivative of -125291012*i**3 - 307006264 wrt i? -375873036*i**2 What is the third derivative of -762508*h**3 - 77*h**2 + 50833*h? -4575048 Find the second derivative of 19132*a*n*s**2 - 7*a*n*s - 3*a*s**2*y + 2*a*s*y + 2*a*s - 2*a + 2*n*s**2 - 85 wrt s. 38264*a*n - 6*a*y + 4*n What is the third derivative of -374*a**5*n + 124*a**4 - 9*a**3*n + 2*a**2*n - a**2 - 144366*a*n + 3*a - 4*n + 1 wrt a? -22440*a**2*n + 2976*a - 54*n Differentiate -2*f**2*w + 30031303*f**2 + 7627230*f*w**2 with respect to w. -2*f**2 + 15254460*f*w What is the third derivative of 167028*i**4 + 699*i**3 - 10056412*i**2 - 4 wrt i? 4008672*i + 4194 Differentiate 89378854*c*w**3 + 18381086*w**3 wrt c. 89378854*w**3 What is the second derivative of 276600192*s**2 - 224652774*s wrt s? 553200384 Find the second derivative of 2152774*k**3 + 123*k**2 - 496853580*k. 12916644*k + 246 Differentiate -6*b**4 + 69*b**3 + 6501*b - 81143499 with respect to b. -24*b**3 + 207*b**2 + 6501 Differentiate 2*d**4 + 129866*d**3 + 27*d**2 + 96543132. 8*d**3 + 389598*d**2 + 54*d Find the second derivative of 5*y**3 + 2314417*y**2 + 78513*y + 28 wrt y. 30*y + 4628834 What is the third derivative of -133826942*s**5 + 41366069*s**2 wrt s? -8029616520*s**2 What is the third derivative of -804013581*p**4 + 778623977*p**2? -19296325944*p Fi
{ "pile_set_name": "DM Mathematics" }
Let t = 20 - 4. Solve 0*l = 2*l - 4*q - t, -l - 13 = 5*q for l. 2 Suppose -4*x + 8*x - 4*m = 36, -x = 3*m + 3. Let w = -6 + x. Solve 4*v + w + 1 = -5*k, v - 11 = -5*k for v. -4 Let r(y) be the third derivative of y**5/60 + y**4/3 + 2*y**3/3 - 3*y**2. Let n be r(-8). Solve l = f + 4*f + 21, 0 = -n*l + 2*f + 12 for l. 1 Let f(y) = 8*y - 1. Let r(m) = 17*m - 2. Let a(b) = -13*f(b) + 6*r(b). Let i be a(-3). Solve -2*z + z = 4*c - 7, 5*c = 4*z - i for c. 1 Let z be (16/4)/(-8)*-4. Solve -n = -d - z, -5*d + 2 = n - 6 for d. 1 Let m = -17 - -19. Solve o = 3*s - m*o - 3, -3*s + 15 = 3*o for s. 3 Let f = 2 + -1. Let c = f + -1. Solve 4*o + 3*w + 20 = c, -4*o - 2*w - 2*w - 20 = 0 for o. -5 Suppose -5*x - 62 + 12 = -t, 0 = 2*x - 4*t + 38. Let m = x + 14. Suppose -m*a + 28 = 4*s, -3*a = -5*s + 2 - 4. Solve -20 = -4*v + a*i, i = 4*v - 0*i - 20 for v. 5 Let b = -4 - -8. Suppose 0*h + 5*n - 23 = -2*h, n = b*h - 13. Solve 3*m - 5*l = 13, -3*l + 5 = -h*m - m for m. -4 Suppose n = 0, -3*n = -2*v - 2*v + 16. Suppose -3*d - 2*d + u + 13 = 0, 0 = 2*d + 3*u + 5. Solve c + d - 1 = 0, 5*m + v*c = 6 for m. 2 Let l(r) = r**3 + 6*r**2 - 8*r - 6. Let b be l(-7). Let u(v) = 2*v - 8. Let n be u(5). Solve -2*k - 16 = n*k - 2*o, -k + b = 2*o for k. -3 Let r(k) = -3*k - 13. Let s be r(-5). Solve -3*b - 10 = -4*a, -s*b - 3 + 1 = 2*a for a. 1 Let g be (1 - 1)*2/4. Suppose -j + l + 7 = 2*l, 0 = -5*j - l + 19. Suppose -5*d = -j*s - 1, 30 - 5 = 5*s - 3*d. Solve 5*c = w - g*w - s, -8 = -2*w + 2*c for w. 3 Let h(k) = k**2 - 12*k + 23. Let u be h(10). Solve 0 = g + 5*t - 17, 0 = 5*g - u*t + 27 for g. -3 Let t be 2 + -1 + 12/4. Solve -4*i - 20 = -t*k - 0*i, 5*i = -k + 5 for k. 5 Suppose 4*z - 20 = -0*z. Let s be ((-4)/(-10))/(2/10). Solve 4*f = -0*f + z*a - 24, -s*f + 6 = 2*a for f. -1 Suppose -2*k + 2 = -2. Solve -q + 1 = -2*w, 5*q - k*w + 14 = q for q. -5 Suppose 0 = 4*t + 84 - 84. Solve t = -3*l + 4*z - 14, 0 = 5*l - z + 12 for l. -2 Let a = -2 - -3. Let j be -2 + 2*10/(-4). Let w = j - -12. Solve -t = -w*x + a, 2*x = -5*t - 0*x + 22 for t. 4 Suppose -7*r + 12*r = 0. Solve -n + 0 = -i - 1, r = 5*n - 2*i + 1 for n. -1 Suppose 0 = 3*f + 8 + 1. Let n = 1 - 2. Let k be n + 2 + f - -7. Solve -3*o - z = -14, -12 = -k*o + z + 14 for o. 5 Let m(n) = -n**3 + 11*n**2 - 9*n + 6. Let p be m(10). Solve -2*l + 5*f + 3 = 0, 3*l - p = -2*f - 2*f for l. 4 Suppose 6 = 5*r + 4*z - 0, -5*z - 1 = 2*r. Solve -r*q + 6 = 0, 3*f = 2*f - q + 5 for f. 2 Suppose 2*t + 3*f - 44 = 0, -t + 4*f + 5 + 6 = 0. Solve 0 = -2*o - c - 4 + 3, 0 = 3*o + 5*c + t for o. 2 Let x = 28 + -8. Suppose 0*j - x = -5*j. Solve 3*n - 2*u = -6*u + 5, j*n - 4*u = -12 for n. -1 Let w = 1 - -3. Suppose -w*u = -9*u. Solve -l + 2*z + 6 = -u*l, -6 = -2*l - 2*z for l. 4 Suppose 0 = -3*s - 5*i - 13, -2*s - i = -5*i - 28. Solve -18 = s*r - 2*d, 3*r - d = d - 13 for r. -5 Suppose 2*n = -2*n - 24. Let z = 0 - n. Solve t = z*t + w - 19, 4*t + w - 16 = 0 for t. 3 Suppose 0 = -d - 5*q + 4, -3*d + 5*q = -0*d + 28. Let y be 2*(d/(-4) - 0). Let h = -1 + y. Solve 20 = -4*c - 3*b - b, 5*c - 4*b - h = 0 for c. -2 Let p(l) = l + 10. Let n be p(-6). Solve -2*y - n*v = v - 17, 5*y - 3*v = -4 for y. 1 Suppose 0 - 3 = -3*l. Suppose 2*t = 3 - l. Solve 0*q + 4*q - b = -1, -2*q - t = -b for q. 0 Let b(u) = u + 15. Let j be b(-9). Solve -3*r - 4*p = -2*p + j, 24 = -3*r + 4*p for r. -4 Let w be 96/18 + 1/(-3). Solve 0 = -o - w*k + 16, 4*k - 5 - 11 = 0 for o. -4 Suppose 2*v - 3*v + 2 = 0. Let q be (-4)/18 - 202/(-18). Suppose -4*p - d + 18 = 0, d = 2*p - q - 1. Solve 3*z + i = v*i, -3*z = p*i for z. 0 Let g(r) = r**2 - r + 2. Let z be g(5). Solve 0 = -5*y + 3*p - z, -4*y + 0*y - 15 = -5*p for y. -5 Suppose -1 = -4*m - 5*g, -2*g = 2*m - 5*g - 17. Let r be m/14 + 2/(-7). Solve 3*u + 5*o - 5 = r, 0 = -3*u + 5*u - o - 12 for u. 5 Let b be (-8)/(-6) + (-3)/9. Let i be (1/b)/(2/18). Suppose 0*m - 2*m = -2*o - 14, -o = 3. Solve 4*j - i = 5*s, -m*j = -7*j - 2*s - 22 for j. -4 Suppose 0 = 3*w - 3, m - w = 5 - 3. Solve -8 = -5*c - 3*k - 0, -3*k = -m for c. 1 Suppose -4*t - 8 + 32 = 0. Suppose -4*b + 32 = 4*u, 3*u - 4*b - t = -b. Solve 22 = 2*f + u*w, -w = -5*f - 0*w + 1 for f. 1 Let o be 8/4 - (0 - 1). Suppose f + 3 + 4 = 4*x, o*f + 7 = 5*x. Solve -12 = l - 5*p, -2*l - 3*p = -1 - f for l. -2 Suppose -3*i + 21 = -2*i + 5*o, -2*i - 4*o + 60 = 0. Solve 4*p + 2*c + c - 32 = 0, 4*p - i = -4*c for p. 5 Suppose 2*x + 3 = 11. Solve 3*q - q + x*r - 6 = 0, -r + 15 = -4*q for q. -3 Let o(t) = t**2 - 2*t - 9. Let c be o(6). Solve c = p + 3*a, -19 = -5*p - 5*a + 16 for p. 3 Let u(z) = 2*z + 38. Let j be u(-16). Solve 0 = 4*v - 2*k + j*k, 0 = -4*v - 2*k + 2 for v. 1 Suppose -3*c + 2*c + 5 = 0. Suppose 4*o - 3*m + 1 = -4*m, 4*o + 5*m = -5. Solve -t - t - 3*n + 17 = o, -4*t - c*n + 29 = 0 for t. 1 Let w(p) be the third derivative of -p**5/60 + p**4/8 + p**3/2 + 3*p**2. Let l be w(3). Solve y - 17 = l*h, -4*y = -y - 3*h - 21 for y. 2 Suppose 5 = p - 7. Let n be 9/7 + p/(-42). Solve -n + 13 = -4*x, -r + 2*x = -10 for r. 4 Let w = -7 + 11. Suppose -10 = -w*s + 6. Solve 0 = -3*f - z + s + 6, 4*f - 28 = -5*z for f. 2 Suppose l + l - 20 = 0. Let p(q) = 3*q - 5. Let b be p(3). Solve 0 = -b*s + k - l, k - 2 = -2*s - 4 for s. -2 Suppose -5*s - 16 = -s. Let m = 17 + s. Solve 4*r - 18 = -2*d, 5*d - 4*d + 3*r - m = 0 for d. 1 Let b(f) = -f**2 - 5*f - 2. Let c be b(-3). Let d be (4 - (-2)/c)*2. Solve -v - d = -5*p + 10*p, 3*p + 6 = 0 for v. 1 Let a = 6 + -9. Let n be (-30)/a + 2 - 1. Solve 4*d = 2*d - 3*x + 16, 0 = d + 3*x - n for d. 5 Let v(r) = 5*r**2 + 5 - 4*r**2 - 3 + 3*r. Let k be v(-2). Solve 2*y - 5*y + c + 17 = k, 0 = 5*y - 2*c - 29 for y. 5 Let v = 3 - 1. Solve -s - 19 = v*g + 4*s, 0 = g + s + 5 for g. -2 Let x be 2/12 + (-4)/24. Suppose x*g = g - 7. Solve 4*w = -2*i + 3 + 9, -w - g = 3*i for w. 5 Let t be -2 - -5 - 0/1. Let h be t*2 - (-4)/(-2). Let m = 8 - h. Solve -5*f = z - 19, m*z - 2*f - 14 = -z for z. 4 Suppose -4*c = -12, -5*x + 4*c + 0 = -3. Solve 0 = 4*w + 2*l - x*l + 15, -2*l - 18 = 4*w for w. -4 Let g(k) = 5*k + 1. Let x be g(2). Suppose 3*q - x = 40. Solve 0 = 3*d + 2*t - 10, 2*t - 3 + q = 3*d for d. 4 Let w = -6 + 8. Suppose -4 + 12 = w*q. Solve -5*d - 20 = 4*u - 3*u, -q*d = 2*u + 16 for u. 0 Let m(a) = -4*a - 1. Let s(z) = -7*z - 2. Let l(q) = -10*m(q) + 6*s(q). Let o be l(-4). Solve -2*n - 3 + 12 = 3*r, 2*r - 3*n - o = 0 for r. 3 Let v(g) = g**2 + 3*g - 5. Let x be v(5). Solve -4*s = -j - 15 - 6, 3*j = 5*s - x for j. -5 Suppose 3*h - 108 = -h. Suppose -5*a - d - h = 0, a + 24 = -2*a + 2*d. Let q be ((-2)/a)/(1/15). Solve 3*x + 3*f + 12 = 0, -q*f = -0*f - 5 for x. -5 Let m(b) = -2*b**3 - 4*b**2 - b + 2. Let d be (1 - (1 + -2))*-1. Let q be m(d). Solve l = q*u - 6, -2*u = -u - 2 for l. 2 Suppose -j = -2*t - 7, 55 = 3*j + j + t. Solve 0 = 7*u - 6*u + n - 3, 3*n - j = -5*u for u. 2 Suppose -4*q = -j + 5*j, -5*q = -j - 30. Suppose 0 = 4*w - 3*w - 5, q*b + w = 0. Let f = b + 2. Solve 3*p + 13 = -2*m, -f = m + 2*p + 8 for m. 1 Let u = -153 - -158. Solve 2*x - u*x - 4*b + 2 = 0, -4*x + b = 10 for x. -2 Suppose 5*w = -4*p + 16, -12 = -3*p + 3*w + w. Solve -4*s + 4*l = -0*s - 8, 2*l = -p for s. 0 Let j be (2 - 1)*-2 - -1. Let i be 18/8 - j/(-4). Let a be -2 - -28 - i/1. Solve -5*t - 37 = 4*h, 6*h + a = 3*h - 3*t for h. -3 Let u be (1*-12)/4 + 4. Let t be 3 - u - (-20 - -13). Solve 3*y + 0*y = -2*q + t, 2*q - y = -11 for q. -3 Suppose 10 = 2*c + 4*b, -c + b + 5 = 4*b. Solve -5*k - 10 = c*l, k - 5*l - 30 = -4*k for k. 2 Suppose 16 = 5*j + 1. Let r be (11 - 48/8) + 0. Solve 0 = -3*t - g - j, r*g = 2*t + 3 - 1 for t. -1 Suppose 1 = n - 2. Solve 2*q - 3*m = 15, 0 = -5*q + n*m + 2*m + 25 for q. 0 Let b be (8/(-6))/((-6)/18). Let o = b - -8. Suppose 0 = -w - 4*n + 2*n, -w + 4*n = -o. Solve 0 = j + 4*h - 16 + w, 0 = -4*j + h - 3 for j. 0 Let v be (-1)/((-4)/(-6) - 1). Let d be v - (2 + -7 - 2). Suppose 0 = 3*z - 0*c - c - d, 0 = -2*z - 2*c + 20. Solve z*s = 2*u + 22, -5*u + 7 = 5*s - 8 for u. -1 Let d(q) = q**2 - 5*q - 8. Let w be d(7). Solve 2*j - 12 = w*j, 4*j = 5*o - 7 for o. -1 Let b be ((-2)/5)/((-1)/(-605)). Let y be (-2)/5 + b/(-55). Solve y*t + 3*q = 3*t - 18, 0 = -4*t - 4*q - 32 for t. -3 Suppose -2*b + 2 + 2 = 0. Suppose 0 = a - 2*i + 3, -b*i - 2*i = -12. Solve a*n - 2*p = -2 - 21,
{ "pile_set_name": "DM Mathematics" }
ween 12:45 PM and 3:40 PM? 175 What is 313 minutes after 5:40 PM? 10:53 PM How many minutes are there between 12:21 PM and 11:54 PM? 693 How many minutes are there between 5:49 AM and 3:27 PM? 578 What is 646 minutes before 8:53 AM? 10:07 PM How many minutes are there between 11:53 PM and 2:25 AM? 152 What is 121 minutes before 10:43 PM? 8:42 PM How many minutes are there between 11:00 AM and 9:36 PM? 636 How many minutes are there between 5:10 AM and 1:44 PM? 514 What is 605 minutes before 9:59 AM? 11:54 PM What is 532 minutes before 8:31 PM? 11:39 AM What is 560 minutes after 5:08 PM? 2:28 AM How many minutes are there between 11:04 PM and 9:28 AM? 624 How many minutes are there between 6:36 AM and 12:13 PM? 337 How many minutes are there between 11:31 PM and 4:41 AM? 310 How many minutes are there between 1:41 PM and 12:38 AM? 657 How many minutes are there between 9:36 PM and 7:43 AM? 607 How many minutes are there between 6:11 AM and 11:21 AM? 310 What is 568 minutes before 5:22 AM? 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{ "pile_set_name": "DM Mathematics" }
(p) = -217*p**2 + p + 2. Let o(b) = 224*b**2 - b - 1. Determine -5*a(k) - 6*o(k). -259*k**2 + k - 4 Let l(r) = -r**2 - 2*r - 4. Let x(m) = 9*m**2 + 13*m - 31. Let a(p) = 4*p**2 + 6*p - 11. Let o(n) = 5*a(n) - 2*x(n). Give 5*l(c) + 2*o(c). -c**2 - 2*c - 6 Let j(u) = -4. Let s = 22 - 15. Let n(i) = 1. Let g(l) = s*n(l) + 2*j(l). Let f(q) be the second derivative of q**3/2 - 14*q - 3. Determine f(v) - 2*g(v). 3*v + 2 Let z(i) = -2*i**2 + 724*i - 1. Let k(s) = 8*s**2 - 2895*s + 5. Give -3*k(g) - 13*z(g). 2*g**2 - 727*g - 2 Let w(f) = -14420 + 14420 - f. Suppose 2*y + 0*y = 8. Let v(t) = -3*t + 4. What is y*w(c) - v(c)? -c - 4 Let q(p) = -p**2 + p - 1. Let m(l) = 12*l**3 + 100*l**2 + 71*l - 144*l**2 - 27*l - 44. Determine -2*m(j) + 88*q(j). -24*j**3 Let q(g) = -1. Let p(i) = -i + 4. Suppose -100 = 158*x + 270 - 54. Give x*p(w) - 10*q(w). 2*w + 2 Let a = -20 + 27. Let b(p) = -p**3 + 8*p**2 - 6*p - 5. Let z be b(a). Let w(d) = 222*d**z - 222*d**2 - d**3. Let x(u) = -6*u**3. Calculate -9*w(f) + x(f). 3*f**3 Let m(i) = i + 115*i**3 - 116*i**3 - 1104 + 1104. Let z(f) be the third derivative of f**6/24 - f**5/60 - f**4/4 - f**2. What is 11*m(h) + 2*z(h)? -h**3 - 2*h**2 - h Let g(f) = 1386*f + 43. Let y(k) = -460*k - 15. Give -6*g(v) - 17*y(v). -496*v - 3 Let l(p) = -4*p. Let j be 18 + -12 + -8 - (2 - 5). Let h(u) = u**2 - u. Suppose i + 12 = -3*o, i + 0*o + 7 = 2*o. Let v = 5 + i. What is j*l(y) + v*h(y)? -4*y**2 Let b(r) = -100*r**2 + 25*r. Let q(u) = 157*u**2 - 69*u**2 - 6*u - 63*u**2. What is -6*b(o) - 25*q(o)? -25*o**2 Let y(c) = 14*c + 1. Suppose -b = 4*g - 5, b = -7 + 4. Let v(h) = 55*h + 4. Determine g*v(w) - 9*y(w). -16*w - 1 Let d(c) = -4 - 115*c**3 + 238*c**3 - 124*c**3 - 2*c + 2*c. Let u(t) = 4*t**3 + 11. Determine 14*d(q) + 4*u(q). 2*q**3 - 12 Let h be 2 + 16 + -29 - -25. Let l(y) = 2*y**2 - 4*y - 2. Let z(j) = j**3 - 7*j**2 + 13*j + 7. Determine h*l(c) + 4*z(c). 4*c**3 - 4*c Let r(s) = 17*s - 2992. Let d(x) = 4*x - 749. Calculate -9*d(y) + 2*r(y). -2*y + 757 Let y(v) = -140*v - 12069. Let r(p) = 23*p - 1. Calculate -6*r(u) - y(u). 2*u + 12075 Let c(y) = 2*y**2 - 270685*y - y**2 + 270686*y. Let f(h) = -7*h + 0*h + 10*h + h + 5*h**2. Suppose -3 = 2*p - 5. What is p*f(i) - 6*c(i)? -i**2 - 2*i Let r(f) = 2*f**2 + 4*f - 5. Let q(n) = -4*n**2 - 7*n + 9. Let t = 5 + -12. Let c(m) = -4*m**2 - 8*m - 8. Let d be c(-1). Determine d*q(y) + t*r(y). 2*y**2 - 1 Let o = 746 + -729. Let y(z) be the second derivative of -5*z**3/6 + z**2 - 4*z. Let r(s) = 14*s - 5. Calculate o*y(p) + 6*r(p). -p + 4 Let w(c) = 7 + 7 + 15 + 9 - 42 - 4*c. Let z(v) = 3*v + 3. What is 5*w(f) + 6*z(f)? -2*f - 2 Let a(l) = 6*l - 5. Let t(b) be the third derivative of 25*b**2 + 0 + 1/24*b**4 - 1/6*b**3 + 0*b. Let z = -3 + 6. Determine z*t(o) - a(o). -3*o + 2 Let t(c) = -c - 1. Let k(i) = -2*i**3 - 5*i**2 - 3*i + 19. Let u be k(-5). Let x = u + -158. Let r(j) = 4. Determine x*r(w) + t(w). -w + 3 Let r(c) = -8*c + 24. Let q(z) = 1. Let h be ((-12)/(-7))/(171/266*1/9). Calculate h*q(g) - r(g). 8*g Let f(k) = 13*k**3 + 36*k**2 + 4*k. Let v(c) = -24*c**3 - 71*c**2 - 6*c. Determine -5*f(i) - 3*v(i). 7*i**3 + 33*i**2 - 2*i Let y(c) = -7*c**2 + 73*c. Let n(t) = 9*t**2 - 95*t. Let p(j) = 10*n(j) + 13*y(j). Let a(k) = 8*k**2 + 6*k - 2. What is 2*a(h) + 14*p(h)? 2*h**2 - 2*h - 4 Let l(j) = 62*j + 1390. Let u(d) = -18*d - 463. Give -2*l(r) - 7*u(r). 2*r + 461 Let t(s) = 555*s - 18. Let y(p) = 831*p - 29. Calculate 8*t(k) - 5*y(k). 285*k + 1 Let c(p) = -9*p + 4. Let x be c(-4). Let v(a) = 25*a + 69. Let j(z) = 31*z + 93. Let n(g) = 3*j(g) - 4*v(g). Let i(y) = -90*y + 40. What is x*n(o) - 3*i(o)? -10*o Let w(i) = 22*i - 5. Suppose -5*y = 5*j - 2786 + 2776, 5*y + 17 = 4*j. Let g(c) = c + 1. Determine y*w(u) - 3*g(u). -25*u + 2 Let t(w) = 73*w**3 - 3*w**2 - 4*w - 4. Let f(u) = 5*u**3 + u**2 + 6*u + 1. Give 2*f(l) + t(l). 83*l**3 - l**2 + 8*l - 2 Let t(f) = f**3 - 6*f**2 - 314*f. Let l(o) = -11*o**2 - 628*o. What is -6*l(g) + 11*t(g)? 11*g**3 + 314*g Let c(g) = g**2 + 1. Suppose 9*k - 13*k + 24 = -4*x, 21 = 4*k - 5*x. Suppose k = -17*d - 8. Let n(q) = -4*q**2 - 10. What is d*n(z) - 5*c(z)? -z**2 + 5 Let b(h) = -25*h**3 - 74*h**2 + 34*h - 1. Let p(y) = -5*y**3 - y**2 - 6*y. Calculate b(i) + 6*p(i). -55*i**3 - 80*i**2 - 2*i - 1 Let n(q) be the first derivative of -q**2/2 + 2. Let t be (4/(-6))/((-240)/117 - -2). Let w(r) = -r + t*r + 0*r. What is 22*n(l) + 2*w(l)? 2*l Let b be ((-3)/6)/((-3)/6). Let n(t) = t**2 + t - 1. Let q = 12 + -10. Let v(s) = -q + 3*s - 3*s**2 + 9*s**2 - s**3 - 7 + 5. Calculate b*v(h) - 3*n(h). -h**3 + 3*h**2 - 1 Let c(s) = -2*s - 1. Let b(i) = 2*i. Let n(h) = -2*h**2 - 60*h - 2*h**2 - 42 - 45 + 84. Let k be n(-15). Determine k*b(p) - 2*c(p). -2*p + 2 Let b(o) = -5*o - 2. Let u be (8/(-12))/(2/33). Let x(t) = -25*t - 10. Determine u*b(l) + 2*x(l). 5*l + 2 Let d(l) = -26*l**2 - 10*l + 1. Let o(t) = 47*t**2 + 19*t - 1. What is -11*d(g) - 6*o(g)? 4*g**2 - 4*g - 5 Let s(g) = 78579083*g + 34595. Let b(r) = -6814*r - 3. What is -34595*b(w) - 3*s(w)? -6919*w Let v(q) = 3*q**2 - 13*q + 7. Let j = 17970 - 17965. Let u(i) = -4*i**2 + 13*i - 8. Calculate j*u(x) + 6*v(x). -2*x**2 - 13*x + 2 Let k(x) = -44*x**2 + 85*x - 5. Let a(w) = 13*w. Determine -6*a(t) + k(t). -44*t**2 + 7*t - 5 Let g(z) = 3204*z**3 - 14*z**2 - 12. Let i(b) = 3203*b**3 - 9*b**2 - 8. Determine -2*g(r) + 3*i(r). 3201*r**3 + r**2 Let s(n) = -3*n**2 + 6*n - 6. Let f(c) = 3*c**2 - 5*c + 5. Let o = -484 - -1022. Let h = o - 544. Give h*f(w) - 5*s(w). -3*w**2 Let q(n) = 12*n + 15. Let v(o) = 3*o + 3. Let s(h) = -2*q(h) + 11*v(h). Let f(k) be the second derivative of k**2/2 - k + 13. Give -3*f(i) + s(i). 9*i Let s(b) = -7*b + 1429. Let d(m) = m - 76. Determine 5*d(j) + s(j). -2*j + 1049 Let g(y) = 1. Let d(o) = -10*o - 154. Let r(v) = v + 29. Let s(i) = d(i) + 5*r(i). Calculate 5*g(f) + s(f). -5*f - 4 Suppose 0 = -j - 0*d - 2*d + 10, 5*j - 8 = 4*d. Let i = -4 + j. Let f(h) = -5 + 6 + i*h + 0*h - h. Let s(o) = -2*o**2 + 2*o + 1. What is -f(q) - s(q)? 2*q**2 - q - 2 Let m(v) = -2*v**2 + v - 7. Let g(n) = -6*n**2 + 2*n - 20. Let x be (-64)/176 + (-62)/11. Determine x*g(c) + 17*m(c). 2*c**2 + 5*c + 1 Let l(c) = -3*c**3. Let t(w) be the second derivative of -w**5/20 - w**4/12 + w**3/6 - 17*w + 35. Calculate -l(g) + 2*t(g). g**3 - 2*g**2 + 2*g Let w(i) = -11*i**2 - 40*i - 100. Let j(b) = -3*b**2 - 11*b - 22. Calculate -15*j(k) + 4*w(k). k**2 + 5*k - 70 Let r(d) = -1. Let j(q) = -479*q - 10. Give -j(g) + 8*r(g). 479*g + 2 Let a(d) = -6*d**3 - 51*d**2 + 6*d. Let c(f) be the third derivative of f**6/120 + f**5/6 - f**4/24 - 768*f**2. Give -2*a(s) - 11*c(s). s**3 - 8*s**2 - s Let f(m) = 7*m**3 + 21*m**2 - 5*m - 2. Let n(v) = -10*v**3 - 32*v**2 + 7*v + 3. Let j = 41223 + -41230. Calculate j*f(x) - 5*n(x). x**3 + 13*x**2 - 1 Let c(g) = -3*g**2 - g - 10. Let f(s) = 6*s**2 + s - 44. Calculate 5*c(l) + 2*f(l). -3*l**2 - 3*l - 138 Let c(g) = -4*g**2 + 7*g - 5. Let t be c(5). Let p = 69 + t. Let o be 2 - (0 + 1)*p. Let m(n) = -34*n**2 - 14. Let k(r) = -7*r**2 - 3. What is o*m(l) - 14*k(l)? -4*l**2 Let r(z) = 2*z**3 + 14*z**2 - z - 8. Let h be (-8)/(-2 - 0)*15. Let l = -63 + h. Let k(t) = t**3 + 5*t**2 - 3. What is l*r(b) + 8*k(b)? 2*b**3 - 2*b**2 + 3*b Let z(k) = 4*k**2 + 3. Let s(u) = 15*u**2 + 102*u + 13. Calculate -s(v) + 4*z(v). v**2 - 102*v - 1 Let r(y) = -5*y**2 + 45*y - 12. Let a(c) = 15*c**2 - 133*c + 34. Give 6*a(o) + 17*r(o). 5*o**2 - 33*o Let w(k) = -2*k**3 + 5*k**2 - 5*k - 16. Let p(x) = -6*x**3 + 14*x**2 - 14*x - 48. Let f be (-231)/(-770) + 286/(-20). Calculate f*w(o) + 5*p(o). -2*o**3 - 16 Let y(n) = -2*n - 2. Let x(o) = 3*o + 3. Let z be 4/9*33*(-6)/(-4). Suppose 0*m + 3*m = -81. Let u = z + m. Calculate u*x(f) - 7*y(f). -f - 1 Let n(t) = 65*t**2 - 39*t + 39. Let b(y) = 5*y**2 + 51*y - 15. Let h(c) = 6*c**2 + 64*c - 19. Let s(j) = 5*b(j) - 4*h(j). Give -n(m) + 39*s(m). -26*m**2 Let l(f) = 292407*f**3 + 0 - 292421*f**3 - 6. Let j(s) be the third derivative of 13*s**6/120 + 5*s**3/6 + s**2. Give 6*j(c) + 5*l(c). 8*c**3 Let g(i) = -i**2 - 103*i - 2576. Let l be g(-60). Let x(p) = 13*p - 8. Let a(s) = -s + 1. Determine l*a(y) + x(y). 9*y - 4 Let s(q) = -278*q + 1866. Let u(j) = 101*j - 622. What is 4*s(i) + 11*u(i)? -i + 622 Let
{ "pile_set_name": "DM Mathematics" }
.5 + 68.1. Round f to the nearest 10. 60 Let u = -0.6 + 0.66. Let v = u + -0.05907. Round v to 4 dps. 0.0009 Let s = 2414.00001587 - 2414. What is s rounded to 6 decimal places? 0.000016 Suppose -2*b + 5*a - 893725 = -3431740, -5*a - 1269015 = -b. What is b rounded to the nearest one hundred thousand? 1300000 Let w = -44.0102 + 44. What is w rounded to 3 decimal places? -0.01 Suppose -5*z - 5*w = 5, 13 = -4*w + 1. Suppose z*q - 6*q = -804000. What is q rounded to the nearest ten thousand? 200000 Let s(w) = 22051*w - 4. Let d be s(5). Suppose -d = -5*r + 4*r. Let z = -65251 + r. Round z to the nearest 10000. 50000 Let h = -200981 - -201012.9973. Let p = 76 - 44. Let o = h - p. What is o rounded to three decimal places? -0.003 Let l = -1331766.3120073 - -185.3153073. Let j = -1331512 - l. Let y = 69 - j. Round y to 3 decimal places. 0.003 Let k = 0.04657 - -3428.95343. Let g = k + -3437.00045. Let r = g + 8. Round r to 4 decimal places. -0.0005 Let o = -15 - -14. Let r be -449998 + (0 + 2)/o. What is r rounded to the nearest 100000? -500000 Let z = 20.947 - -0.053. Let n = z - 5. Let k = -16.7 + n. Round k to the nearest integer. -1 Let z = 65.9975 + -66. Round z to four decimal places. -0.0025 Let m = -2975297 - -1499310. Let o = -1475986.6000019 - m. Let r = o + -0.4. What is r rounded to six decimal places? -0.000002 Let a = 168564 - 170067.722. Let i = 1500 + a. Let v = 3.8 + i. What is v rounded to two decimal places? 0.08 Let m be 3/(-3) - (3 - 0). Let v(s) = 122500*s. Let k be v(m). What is k rounded to the nearest 100000? -500000 Let r = -228.8096 + 229. Let l = r - 0.19. What is l rounded to four decimal places? 0.0004 Let n = -234.24338 - -192.244. Let i = n + 42. Round i to 4 dps. 0.0006 Let w = -3.5 + 4.34. What is w rounded to one decimal place? 0.8 Let q = 8.67 + -1.7. Let v = 1 - 8. Let h = q + v. What is h rounded to two dps? -0.03 Suppose -5*r + d - 19596051 = 0, 0 = d - 3*d + 2. Let y(a) = 339902*a**3 - a**2 - a. Let n be y(2). Let z = r + n. What is z rounded to the nearest 1000000? -1000000 Let s = -440 + 294. Let g = 121053.863 + -121200. Let p = s - g. What is p rounded to two decimal places? 0.14 Let d = -16 + 16.019. Let x = -3 + 3.02. Let q = d - x. Round q to four dps. -0.001 Let h = 2.3 - 1.2. Let d = -1610.69519974 - -1611.7952. Let q = d - h. What is q rounded to seven decimal places? 0.0000003 Let x(z) = 4944*z**2 - 2*z + 4. Let c be x(-6). Suppose -3*b + 4*b = -c. Round b to the nearest ten thousand. -180000 Let u = 14 + -17. Let p be 1/u - (-12959998)/(-6). Round p to the nearest 100000. -2200000 Let n = -2 - -1.4. Let b = 0.5999 + n. What is b rounded to 5 decimal places? -0.0001 Let w = -1 - -1.0000258. Round w to six dps. 0.000026 Let n = -1 + -6. Let l = -5 - n. Let i = l + -1.99985. What is i rounded to 4 dps? 0.0002 Let u(w) = -152*w**2 + w - 2. Let v be u(1). What is v rounded to the nearest 10? -150 Let o = 0.053 - 0.161. Let q = o + 0.10753. Round q to four dps. -0.0005 Let v = 252 + 143. Let y = -166 + v. Let k = -228.03 + y. What is k rounded to 1 decimal place? 1 Let r = -1478127.54 + -17775.46. Let u = r + 1495895.99997. Let m = 7 + u. What is m rounded to four decimal places? 0 Let s = -0.0036 + -5.2864. Let t = -5 - s. Let z = 0.04 - t. What is z rounded to 1 dp? -0.3 Let m be 1 - 9518*4917/6. Round m to the nearest one million. -8000000 Let o = 14.999963 + -15. What is o rounded to five dps? -0.00004 Suppose -476000 = 2*q - 4*m, 4*q - 4*m + 9*m = -952000. Round q to the nearest ten thousand. -240000 Suppose 4*d - 81999936 = -0*d. Suppose -5*q - 4*h + d = 0, -3*h = -4*q - 7*h + 16399984. What is q rounded to the nearest 1000000? 4000000 Suppose 5*u + 4*o = 82097 - 17605, o = -2. What is u rounded to the nearest 1000? 13000 Let q(l) be the second derivative of -323*l**5/4 - 5*l**4/12 - 21*l. Let m(d) = d**2 + 5. Let t be m(0). Let o be q(t). Round o to the nearest 10000. -200000 Suppose 3*o + 88 = 2*s, 0 = o - 1 - 3. Round s to the nearest 10. 50 Let b = 657 - 656.9106. Round b to two decimal places. 0.09 Let v = 14.2 + -16. Let b = v + 1.800028. What is b rounded to 5 decimal places? 0.00003 Let h = 19.019 - 19. Let i = h - -1.291. Round i to 1 dp. 1.3 Let j(v) = -454*v - 18. Let m be j(9). Let o be 1 + 2 + m - -1. Round o to the nearest one thousand. -4000 Let h = 13 + -13.19. Let k = h + 0.190029. Round k to 5 decimal places. 0.00003 Let j = -2.85 + -166.15. Let t = -8802.27 + 8634. Let b = j - t. What is b rounded to 1 dp? -0.7 Let s = 4 + -3.99946. What is s rounded to four decimal places? 0.0005 Suppose 2*r + 5*x - 340 = 0, 171 = r - 0*x + 3*x. Let d be (-2 + 0)*r/(-10). Let k be (d/(-9))/(2/(-30)). Round k to the nearest ten. 60 Let c = 0.08 + 0.22. Let l = -0.19 - c. Round l to one decimal place. -0.5 Let h = 2 + -2. Suppose 5*n + 2*b = -h*b - 306, 5*b - 105 = 2*n. Let x be n/8*6/(-5). Round x to the nearest 10. 10 Let d = 39 + -76. Let c = -65 - d. Let z = 27.99999948 + c. What is z rounded to seven decimal places? -0.0000005 Let x = 0.01 - -0.04. Let g = 0.04998 - x. Round g to four dps. 0 Let t(u) = u**3 + 8*u**2 - 2*u - 10. Let h be t(-8). Let w = -8 + h. Let y be 1 + w - (-2 + 461). What is y rounded to the nearest one hundred? -500 Let s = 13268 + -4668. What is s rounded to the nearest 1000? 9000 Let f(y) = -26883*y - 7. Let s be f(-5). Let j = 24381 - s. Let t = 32027 + j. Round t to the nearest ten thousand. -80000 Let v = 17.936 - 18. What is v rounded to two dps? -0.06 Let c(t) = 58162*t**2 - 9*t - 1. Let w be (3/(12/(-56)))/2. Let p be c(w). What is p rounded to the nearest 100000? 2900000 Let z(d) = -d**3 + 6*d**2 + 6*d + 10. Let s be z(7). Suppose 387 = s*y - 393. Suppose 7*r + y = 2*r. What is r rounded to the nearest ten? -50 Let a be (-10)/15*(-81)/2. Suppose 2*s = a - 3. Round s to the nearest ten. 10 Let w(f) = f**3 - f**2 - f + 229. Let u be w(0). Let k(x) = -13*x**3 - 3*x**2 - 1. Let z be k(-3). Let v = u - z. Round v to the nearest 10. -90 Let b = 1 + -0.2. Let r = b + -1.06. Let g = r - -0.3. Round g to 2 decimal places. 0.04 Let z(f) = 2*f**3. Let c be z(0). Suppose 3*j - 4*k - 536 = c, -5*j = -3*k - k - 896. Round j to the nearest one hundred. 200 Let q = 376433 - 564407. Let n = q + 353749. Suppose 0 = 3*f + n + 584225. Round f to the nearest one hundred thousand. -300000 Let j = -45.91 - -0.91. Let s = j - -120. Let p = 74.9961 - s. What is p rounded to 3 decimal places? -0.004 Let k be (-20)/(-5) + 27691 + 5. Round k to the nearest ten thousand. 30000 Let g = 112.1 - 112.1959. Let o = g - -28.6459. Let h = -28 + o. Round h to 1 decimal place. 0.6 Let j(y) = -5*y - y**2 + y**3 + 5*y + 600 + y. Let u be j(0). Round u to the nearest one hundred. 600 Let j = 1.3 + -0.13. Let l = j - 1.16886. Round l to 4 decimal places. 0.0011 Let n = 266 - 188.8. Let a = n - -2.8. Let i = a - 79.967. What is i rounded to two dps? 0.03 Suppose -3*q + 32 + 23 = y, -94 = -5*q - 4*y. Let d be (-6)/q + 2701/3. Round d to the nearest 1000. 1000 Let c = 548086 - 548086.230017. Let i = -0.23 - c. Round i to five decimal places. 0.00002 Let u = 47.9999896 + -48. What is u rounded to 6 dps? -0.00001 Let r = -16.29999857 + 16.3. What is r rounded to seven dps? 0.0000014 Let v = -26 - -115. Let b = v + -88.9927. Round b to three decimal places. 0.007 Let k = -13.7 + 13. Let o = 0.3 - k. Let r = -1.00001 + o. What is r rounded to four decimal places? 0 Let b = 5.58146 - 5.55. Let t = b + -0.031. Round t to 4 decimal places. 0.0005 Let q = 1.3 - 1.299948. What is q rounded to 5 dps? 0.00005 Let j be (-3 - -1)*(-1)/1. Let o be 1319998 - (j + -4)*1. Suppose 0 = q + 3*q + o. What is q rounded to the nearest 100000? -300000 Let g = -65389186.33000029 + 65389186. Let f = 0.37 + -0.7. Let v = f - g. What is v rounded to seven dps? 0.0000003 Let z = -1847.6 + 15.6. Let t = 1836.995 + z. Let c = t + -5. Round c to three decimal places. -0.005 Let m = 0 + -0.4. Let t = -0.59 + 0.98. Let p = m + t. What is p rounded to one decimal place? 0 Suppose p = -4*p + 115. Let c = 18 + p. What is c rounded to the nearest ten? 40 Let h(n) = 9499*n**2 - 3*n - 2. Suppose 4*c = -0*c - 8. Let d be h(c). Round d to the nearest 10000. 40000 Let k = -1 - -5. Suppose 16 = -k*x, -4*m + 2*m + 1128 = -2*x. What is m rounded
{ "pile_set_name": "DM Mathematics" }
be v(-1). Let j(d) = -2*d - 10. Let r be j(-6). Factor n*t**3 + t + t**r - 8*t**3 - t**4 + 0*t**2. -t*(t - 1)*(t + 1)**2 Let i(h) = -h**2 + 11*h - 8. Let c be i(10). What is f in -2*f**c - f**4 + 2*f**4 + 3*f**3 - 2*f**3 = 0? -2, 0, 1 Let g(t) = -4*t**2 - 8*t - 6. Let d(i) = 17*i**2 + 32*i + 23. Let u(c) = -2*d(c) - 9*g(c). Factor u(n). 2*(n + 2)**2 Factor 6*h - 5 + 1 + 4 - 3*h**2. -3*h*(h - 2) Let p be (-6)/11*(-946)/387. Factor 4/3 + 1/3*a**2 - p*a. (a - 2)**2/3 Let 5*a**3 + 2/3 + 7*a + 59/3*a**2 - 25/3*a**4 = 0. What is a? -1, -1/5, 2 Let q(y) be the second derivative of -y**5/45 - y**4/24 + y**3/18 + 2*y**2 - y. Let n(o) be the first derivative of q(o). Factor n(s). -(s + 1)*(4*s - 1)/3 Let f = 217 - 2381/11. Factor -f*p**2 - 2/11*p + 0. -2*p*(3*p + 1)/11 Let x(g) = -g**3 - 3*g**2 - 2*g + 2. Let l be x(-3). Suppose 5*t + 2*m - 10 = 0, 3*t + t - 2*m = l. What is v in -1/2*v**3 - 1/2*v**t + 0 + 0*v = 0? -1, 0 Let s = 28 - 27. Let r(w) be the first derivative of 2/33*w**3 - 2/11*w**2 + s + 2/11*w. Factor r(f). 2*(f - 1)**2/11 Let s(j) = j**2 + j + 1. Let l(t) = 6*t**2 + t + 8. Let f(i) = l(i) - 5*s(i). Find c such that f(c) = 0. 1, 3 Let c(h) be the third derivative of -h**6/40 + h**4/2 - 38*h**2. Let c(k) = 0. Calculate k. -2, 0, 2 Let z be (0 + 0)/(4/(-2)). Let l(m) be the third derivative of m**2 + 1/60*m**5 + 0*m**3 + z*m + 0 - 1/24*m**4. Solve l(i) = 0. 0, 1 Let f(q) be the third derivative of -q**7/70 - 3*q**6/10 - 27*q**5/10 - 27*q**4/2 - 81*q**3/2 - 2*q**2. Factor f(p). -3*(p + 3)**4 Let q(k) be the first derivative of k**5/300 + k**4/120 - k**3/15 - 2*k**2 - 3. Let y(n) be the second derivative of q(n). Determine w, given that y(w) = 0. -2, 1 Let f(s) = -s**2 - 6*s - 4. Let c be f(-4). Factor -4/5*g**3 + 4/5*g**2 - 2/5*g**c + 2/5*g**5 - 2/5 + 2/5*g. 2*(g - 1)**3*(g + 1)**2/5 Let m(o) be the second derivative of -1/15*o**4 + 0 - o + 1/15*o**3 + 0*o**5 + 0*o**2 + 2/75*o**6 - 1/105*o**7. Factor m(l). -2*l*(l - 1)**3*(l + 1)/5 Let w(j) = -j**2 + j - 3. Let y be w(0). Let l = 0 - y. Find q such that 1/4 - 1/2*q**2 + 1/4*q - 1/2*q**l + 1/4*q**4 + 1/4*q**5 = 0. -1, 1 Let o(h) be the third derivative of -3*h**8/392 - 2*h**7/245 + 11*h**6/420 + 2*h**5/105 - h**4/21 + 9*h**2. What is f in o(f) = 0? -1, 0, 2/3 Let y(q) be the first derivative of -q**4/2 + 4*q**3/3 - q**2 + 3*q - 6. Let i(w) be the first derivative of y(w). Find r such that i(r) = 0. 1/3, 1 Let g(f) be the third derivative of -f**5/210 + f**4/42 + 5*f**2. Find q, given that g(q) = 0. 0, 2 Suppose 1/4*o + 0 - 1/4*o**4 + 1/4*o**2 - 1/4*o**3 = 0. Calculate o. -1, 0, 1 Let b(c) = c**4 + c**2 - c + 1. Let w = -1 - -3. Suppose 2*q = -w*q + 4. Let j(r) = -r**4 - r**3 + 3*r**2 + 1. Let o(p) = q*j(p) - b(p). Factor o(g). -g*(g - 1)*(g + 1)*(2*g + 1) Let k(r) be the second derivative of r**5/20 - r**4/2 + r**3 - r**2/2 + r. Let n be k(5). Determine x, given that -2*x + 2*x**3 - n*x**3 + x**5 + 3*x = 0. -1, 0, 1 Let q(b) be the first derivative of -1/120*b**5 - b**2 + 0*b + 1/12*b**3 + 0*b**4 - 2. Let m(y) be the second derivative of q(y). Factor m(p). -(p - 1)*(p + 1)/2 What is j in -4*j**2 + 12*j**2 - 28 + 2*j**3 - 48*j - 4 + 10*j**3 = 0? -2, -2/3, 2 Let b = -199 + 1397/7. Factor 2/7*i**4 + 4/7*i**3 - b*i + 0*i**2 - 2/7. 2*(i - 1)*(i + 1)**3/7 Let t be (0 - (-6)/(-4))*6. Let k = -7 - t. Determine g, given that 0*g**k - 2/7*g + 0 + 2/7*g**3 = 0. -1, 0, 1 Determine g so that 5/2*g + 1/2*g**3 + 2*g**2 + 1 = 0. -2, -1 Suppose 3 = w - 2. Solve -v + 2*v**5 + 0*v**5 + 2*v**4 + 2 - w*v**3 - 4*v**2 + v**3 + 3*v = 0. -1, 1 Let f(j) be the second derivative of -j**5/5 + 11*j**4/12 - 5*j**3/6 - j**2 + 4*j. Factor f(m). -(m - 2)*(m - 1)*(4*m + 1) Let j = 164 + -161. What is o in -2/5*o**4 - 2/5 + 0*o**j + 0*o + 4/5*o**2 = 0? -1, 1 Let b(v) = 2*v**2 + 2*v - 4. Let c(q) = -2*q**2 - q + 3. Let h = -18 + 15. Let d(s) = h*b(s) - 4*c(s). Factor d(x). 2*x*(x - 1) Let r(w) be the first derivative of -w**6/3 - 4*w**5 - 39*w**4/2 - 148*w**3/3 - 68*w**2 - 48*w + 8. Factor r(m). -2*(m + 1)*(m + 2)**3*(m + 3) Let z(v) = 7*v**3 - 9*v**2 + 2*v + 5. Let g(i) = -8*i**3 + 10*i**2 - 2*i - 6. Let x(k) = 5*g(k) + 6*z(k). Let x(b) = 0. What is b? 0, 1 Find a, given that -64*a**2 - 3*a**4 + 4*a**4 + 65*a**2 + 2*a**3 = 0. -1, 0 Suppose -12 = -4*q + 4*s - 4, -3*q = -s - 2. Let j = q + 0. Solve 2/5*g**2 + j + 2/5*g = 0. -1, 0 Suppose -5*n + 3 = -7. Factor -4*k + 2*k**2 - 3*k**n + 3*k. -k*(k + 1) Let v(i) be the second derivative of 0 - 1/25*i**5 + 0*i**2 + 3*i + 0*i**3 + 1/30*i**4 + 1/75*i**6. Find u such that v(u) = 0. 0, 1 Let p(a) be the second derivative of -a**9/35280 + 3*a**8/15680 - a**7/2940 + a**4/12 + 4*a. Let z(u) be the third derivative of p(u). Factor z(s). -3*s**2*(s - 2)*(s - 1)/7 Suppose -8*c + 10*c - 4 = 0. Suppose v - c*y = -2*v, v - 5*y = 0. Suppose -10/3*w**2 + 2/3 + 8/3*w**4 + 0*w + v*w**3 = 0. Calculate w. -1, -1/2, 1/2, 1 Suppose 3*u - 3 = -3*d, 2*d + 2*d = u + 19. Factor -d - 6 - o**2 - 6 - 6*o + 7. -(o + 3)**2 Factor -74*z**3 - 5 + 10*z - 76*z**3 + 140*z**3 + 5*z**4. 5*(z - 1)**3*(z + 1) Let o(h) = h**4 - 11*h**3 - 27*h**2 - 18*h + 3. Let w(x) = -12*x**3 - 28*x**2 - 18*x + 2. Let c(k) = -4*o(k) + 6*w(k). Factor c(y). -4*y*(y + 1)*(y + 3)**2 Let q = 3 - 1. Solve 0 + 1/5*o - 1/5*o**3 + 0*o**q = 0 for o. -1, 0, 1 Let g(f) be the third derivative of f**5/150 - f**3/15 + 3*f**2. Factor g(v). 2*(v - 1)*(v + 1)/5 Let y(i) be the second derivative of 0 + 0*i**2 - 1/90*i**5 + 1/54*i**4 + 2/27*i**3 + 6*i. Find l, given that y(l) = 0. -1, 0, 2 Let f(i) = -7*i**4 + 7*i**3 - 4*i**2. Suppose 0*y + 3 = 3*y. Let a(u) = -u**4 + u**3 - u**2. Let m(g) = y*f(g) - 4*a(g). Factor m(w). -3*w**3*(w - 1) Let g(c) be the first derivative of 5/9*c**3 - 13/12*c**4 - 2*c**5 + 0*c + 1/3*c**2 - 2. Let g(z) = 0. What is z? -1/2, -1/3, 0, 2/5 Let v(l) be the third derivative of -l**8/420 + 4*l**7/525 + l**6/150 - 2*l**5/75 - 13*l**2. What is f in v(f) = 0? -1, 0, 1, 2 Let j(t) be the second derivative of -t**6/15 - 2*t**5/5 - t**4/2 + 2*t + 15. Factor j(q). -2*q**2*(q + 1)*(q + 3) Suppose 0*d + 2*d = 2. Factor 2 - 2*s**3 + 1 - 3*s**2 + 4*s + d + s**4. (s - 2)**2*(s + 1)**2 Let g(m) be the third derivative of 0 + 0*m**4 - 1/30*m**5 + 1/30*m**6 - 1/420*m**7 + 0*m**3 + 5*m**2 + 0*m - 1/224*m**8. Find p, given that g(p) = 0. -2, 0, 2/3, 1 Suppose -8 = -4*g - 0*g. Determine y, given that -3 - y - y + 3 - 6*y**3 + g*y**4 + 6*y**2 = 0. 0, 1 Suppose -x = -0*x - 9. Let u = x + -17/2. Factor u - 3/2*f - 1/2*f**3 + 3/2*f**2. -(f - 1)**3/2 Factor -2*p - 13*p**3 - 4*p**2 + 12*p**2 - 2*p + 9*p**3. -4*p*(p - 1)**2 Let g(n) be the second derivative of 1/2*n**3 + n**2 + 1/12*n**4 + 0 + 2*n. Factor g(x). (x + 1)*(x + 2) Let q(u) be the first derivative of 1/5*u**5 - 1/4*u**4 - 3 - 1/2*u - 1/6*u**3 - 1/24*u**6 + 5/8*u**2. Solve q(o) = 0 for o. -1, 1, 2 Let x(y) = 2*y**3 - 3*y**2 + 2*y + 2. Let t be x(2). Let k be t/2*2/5. Let 2/3 - 4/3*u + 2/3*u**k = 0. What is u? 1 Let x(u) = -2*u - 5. Let m be x(-3). Let s be (1 - m)*(-1)/(-2). Find o, given that 1/4*o**3 + 0*o - 1/4*o**2 + s = 0. 0, 1 Factor -12/13 + 2/13*d + 2/13*d**2. 2*(d - 2)*(d + 3)/13 Find j such that -4/3*j**3 - 4/3*j + 1/3*j**4 + 2*j**2 + 1/3 = 0. 1 Let m(w) be the second derivative of 0 + 0*w**2 + 0*w**3 - 1/105*w**6 - 4*w - 1/21*w**4 + 3/70*w**5. Factor m(j). -2*j**2*(j - 2)*(j - 1)/7 Let o(j) = 13*j**2 + 4*j. Let r be 1/((-15)/(-12) + -1). Let d(x) = x**2 - x. Let y(z) = r*d(z) + 2*o(z). Factor y(v). 2*v*(15*v + 2) Factor 6*q**4 - 2*q**5 - 4*q**3 - 4*q**2 + 2*q - 6*q + 10*q - 2. -2*(q - 1)**4*(q + 1) Let l(a) be the second derivative of -a**7/13860 - a**4/12 - 3*a. Let c(g) be the third derivative of l(g). Let c(q) = 0. Calculate q. 0 Let l(y) = y + 1. Let k be l(1). Let w(r) be the third derivative of 1/360*r**6 + 0*r**3 - 1/630*r**7 - r**k + 0 + 0*r + 0*r**5 + 0*r**4. Factor w(c). -c**3*(c - 1)/3 Let d(r) be the second derivative of 5*r**4/12 - 5*r**2/2 - 13*r. Suppose d(t) = 0. What is t? -1, 1 Let x(y) be the third derivative of y**7/1470 + y**6/280 + y**5/420 - y**4/56 - y**3/21 - y**2. Find a, given that x(a) = 0. -2, -1, 1 Let z be (-2 - -1)/((-2)/(-66)). Let y = -30 - z. What is x in -1/3*x + 1/3*x**y - 1/3*x**2 + 1/3 = 0? -1, 1 Let b(u) = -3*u**3 - 9*u**2 - 5*u + 5. Suppose
{ "pile_set_name": "DM Mathematics" }
+ 1 Expand (-2 + 2 - 53*c)*(-4 + 2 - 3)*(3*c + 3*c - 4*c). 530*c**2 Expand (-4 + 0 + 2 + (7 - 4 - 1)*(0 + 3 - 4))*(15*q**2 - 5*q**2 + 3*q**2). -52*q**2 Expand (-1 + 0 + 3)*(0*u**4 + 0*u**4 - u**4) + 2416*u**4 - 770*u**4 - 640*u**4. 1004*u**4 Expand (0*u**2 - 4*u**2 + 2*u**2)*(-5*u + 9*u + 8*u)*(1 + 4 - 4)*(-2 + 1 + 0). 24*u**3 Expand (-2 - d**2 + 2)*(0*d**2 - 4*d**2 + 2*d**2 + (-3*d + 2 - 2)*(5*d - 4*d - 2*d)) + (3*d - d + d)*(5*d**3 - 3*d**3 + 0*d**3). 5*d**4 Expand (3*k - 5*k + 4*k)*(9*k - 129*k - 103*k). -446*k**2 Expand (p**2 + 3*p**2 - 3*p**2)*((-2 + 0 + 0)*(-4*p + 2*p + 0*p) + 30 - 30 + 2*p - 3*p - 3*p + 2*p)*(-5 + 4*p + 5 + p**2). 2*p**5 + 8*p**4 Expand (-z + 3*z + 0*z)*(58*z**3 + 8870*z - 8870*z). 116*z**4 Expand (i**2 - i**2 + 2*i**2)*(3 - 4 - 15*i - 18*i - 4*i**2). -8*i**4 - 66*i**3 - 2*i**2 Expand (-c + 2*c + 0*c)*(-1 - 2*c + 1) + 47*c**2 - 27*c**2 - 44*c**2. -26*c**2 Expand (-9 + 2*o**4 - 171*o**3 + 171*o**3)*(-1 + 3 + 2). 8*o**4 - 36 Expand (-3*r**3 - 53*r**3 + 106*r**3)*(1 - 1 + 1)*(-1 - 2 + 0). -150*r**3 Expand (-56*r + 32*r - 2*r)*(-r + 3*r**4 + 4*r**4 - 6*r**4) - 3 + 3 + 2*r**2 + 2*r**5. -24*r**5 + 28*r**2 Expand (0*d + 2*d**2 - 7*d - 6*d**2)*(4 - 3 + 1)*(-1 + 3 + 1). -24*d**2 - 42*d Expand 3*i**2 - 2*i**4 - 3*i**2 + (4*i**2 + 0*i**2 - 5*i**2)*(2*i - i**2 - 2*i) + (4*i + 4*i - i**3 - 10*i)*(0 + i + 0). -2*i**4 - 2*i**2 Expand (2516 + 2537 - 5049 - b + (0 + 0 + 2*b)*(-3 - 1 + 5))*(-2*b + 3 - 3). -2*b**2 - 8*b Expand (-3 - 1 + 2)*(-3*k - 2 + 2) + (-4*k + 4*k - 2*k)*(-4 + 3 + 3) + 18*k + 18*k + 38*k. 76*k Expand (0 + 0 + 2)*(-4 + 4 + 1)*(0*r + 3*r - 4*r)*(0 + 2 - 3)*(11*r + 12*r - 17*r). 12*r**2 Expand (-4*w - 11*w + 5*w)*(-2*w**2 + w - w)*(-22 - 5 - 18). -900*w**3 Expand (-2*z + 5*z + 0*z)*(-z**2 - 2*z**2 + 5*z**2)*(19*z - 4*z + 1 - 7*z). 48*z**4 + 6*z**3 Expand (k - 5*k + k)*(-k**3 - 2*k**3 + 5*k**3) + 1 - 1 - 2*k**4 + (0*k + 2*k - k)*(0*k**3 - 4*k**3 + 6*k**3) + 46 + 24*k**4 - 46. 18*k**4 Expand -3 + 3 - 2*l**2 + (0 + 0 + 2*l)*(-3*l - 2*l + 4*l) + (0*l**2 + 2*l**2 + 0*l**2)*(0 + 5 - 3) + 9*l**2 + 6*l**2 - 4*l**2. 11*l**2 Expand (183*q - 371*q - 379*q - 80*q)*(-2 + 3 + 0). -647*q Expand (199 - 147 + 418)*(-4*p + p + p)*(p - 1 + 1). -940*p**2 Expand (-2*x**2 + 4*x**2 - 3*x**2 + (2*x - 4*x + x)*(-3*x - 2*x + 3*x) + 0*x - 3*x**2 + 0*x)*(-28*x - 22*x + 22*x). 56*x**3 Expand (-3 + 6 - 1)*(5 - 5 + g)*(30 - 2*g + 25*g**2 - 10 - 29). 50*g**3 - 4*g**2 - 18*g Expand (3*i**3 + 0*i**3 - 5*i**3 + i**4)*(-9 + 5*i + 2 + 2). 5*i**5 - 15*i**4 + 10*i**3 Expand (108*z + 297*z + 10*z)*(-z**3 - 4 + 4). -415*z**4 Expand (27 - 40 + r + 51)*(0*r + 0*r - r**2). -r**3 - 38*r**2 Expand ((2*u - 1 + 1)*(-1 + 0 + 3) + 4*u - 4*u + 3*u - u - 4*u + 22*u)*(-u + u - 2*u**3). -48*u**4 Expand (0 + 0 + 2*g)*(4 - 2 + 0) - 2*g - g + 5*g - g + 0*g + 2*g + (3 - 3 - 2)*(0*g - 2*g + 0*g) + 6*g - 3*g - g + 63*g + 18*g + 16*g. 110*g Expand (29*l**2 - 215*l + 215*l)*(-4 + 3 + 0 - 1 + 1 - 1 - 1 - 1 + 3 + (-2 + 1 + 2)*(0 + 0 - 1) + 0 + 1 - 3 - 6 + 3 + 2 - 3 + 2 + 0). -174*l**2 Expand (4 - 3 + 5)*(3 - 3 + 3)*(-331*n + 331*n - 23*n**4). -414*n**4 Expand (41 + 36 - 22 + 0 + 1 + 0 + (3 - 4 - 1)*(5 - 4 - 2) - 3 - 2 + 6)*(-t - 3*t + t). -177*t Expand (-16*o**2 - 11*o**2 - 5*o**2)*(4 - 5 + 0 - 10*o). 320*o**3 + 32*o**2 Expand (0 + 0 - 2*t)*((2 + 3 - 6)*(2*t + 0*t - t) + 39*t + 7 - 5 - 27*t + (0 + 0 + 2)*(-t - 2 + 2)). -18*t**2 - 4*t Expand w**2 - 2 + 2 + (2 + 2 - 5)*(-5*w**2 - 2*w**2 + 3*w**2) - 6 - 8*w**2 + 6 + (-1 - 1 + 0)*(w**2 + 2*w**2 - 2*w**2). -5*w**2 Expand (0 - 6 + 3 - 2*t)*(-t**2 + 5*t**2 + 0*t**2) - t**3 + 3*t**3 + 0*t**3. -6*t**3 - 12*t**2 Expand (-5*n**2 + 3*n**2 + n**2)*(-3 - 4 + 3) + n**2 + 43 - 43. 5*n**2 Expand ((2*t + 0*t - t)*(5*t - 5*t - t**3) - 6*t + 29*t**4 + 6*t)*(4*t + 54 - 60 + t). 140*t**5 - 168*t**4 Expand (-37*h - 85 + 85)*(h**2 + 0*h**2 + 4*h**2). -185*h**3 Expand (6*i**4 - 4 + 4)*(0*i - 3*i + i + (i + i + i)*(2 + 0 - 3)). -30*i**5 Expand -17*l + 0*l - 12*l + (0*l - 4*l + 6*l)*(0 - 2 + 1) + 4*l - l - 2*l. -30*l Expand (-64 + 15 - 59)*(3 - 1 + 0)*(2*h - 2*h - 2*h). 432*h Expand (-1 - 2 + 1)*(23*o + 6*o - 14*o) + o + 3*o - o. -27*o Expand (-14 - 92 + 45)*(-4 + z + 4 + (3*z - 3*z - 2*z)*(4 - 1 - 1) - z + z - z). 244*z Expand (4*o**4 + 3*o**4 - 5*o**4)*((1 + 3 - 3)*(-2 + 2 - 3) + 3 - 2 + 3)*(-4*o + 2*o + 3*o). 2*o**5 Expand 11*c + 39*c + 5 - 22 + 13 + 5*c - c + 0*c + (2 + c - 2)*(4 - 6 + 0). 52*c - 4 Expand -19 - 3*l - 20 - 2*l**2 + 41 + 5*l**2 + l**2 - 3*l**2 + (-2 + 2 + 1)*(2 - 2 + l**2). 2*l**2 - 3*l + 2 Expand 4*q**2 - 3*q**2 - 4*q**2 - 13*q + 13*q - 10*q**2 - 2 + 2 - 2*q**2 + (-2 + 2 + 2*q)*(0*q + 6*q - 4*q) + 0*q**2 + q**2 + q**2. -9*q**2 Expand (4*r**3 - 2*r**3 - r**3)*(-796*r**2 - 93*r**2 + 490*r**2 - 728*r**2). -1127*r**5 Expand 279*c**3 - c**5 - 279*c**3 - 2*c**5 + 0*c**5 + 0*c**5 + (c**4 + 0 + 0)*(4*c - 3*c - 3*c) + 0*c**2 + 0*c**2 + c**5. -4*c**5 Expand 2*d**5 - 3*d**5 - d**5 + (4*d - 4*d + 2*d)*(-4*d**4 + 4*d**4 + d**4) - 4*d**5 - 3 + 3 - d**5 + d**5 + 2*d**5 - 13*d**5 + 18*d**5 - 27*d**5. -24*d**5 Expand (-2*w + 5*w + w)*(3*w**3 - 3*w**3 - 2*w**4) + (-2*w**2 - 2*w**2 + 2*w**2)*(99*w**2 - 99*w**2 - 53*w**3). 98*w**5 Expand (-k + k**2 + k)*(91 + 17*k**2 - 91) + 17*k**3 + 1 - 6*k**4 - 17*k**3. 11*k**4 + 1 Expand (-221*k - 381*k + 328*k)*(k - k + 2*k**2). -548*k**3 Expand (13*t + 616 + 57*t - 616)*(-6*t + t - 3*t). -560*t**2 Expand -d + d - 2*d**3 + (3*d**2 + 0*d**2 + 7*d**2)*(5*d - 3*d - 3*d). -12*d**3 Expand (88*x**3 - 117*x**3 - 135*x**3)*(19*x - 8*x - x**2 - 14*x). 164*x**5 + 492*x**4 Expand (3 - 3 - 1)*(-23*k - 116 + 116 + (-5*k - k + 5*k)*(3 - 6 + 2)). 22*k Expand (-6747*p + 6748*p + p**4 - 3*p**2 + 4*p**2)*(-p - 2 + 2). -p**5 - p**3 - p**2 Expand -4*c**3 + 0*c**3 + 3*c**3 + (2*c + 0*c - 4*c)*(4*c**2 + 3*c**2 - c**2). -13*c**3 Expand (-7*q**4 - 8*q**4 - 3*q**4 + (-q**2 + 1 - 1)*(3*q**2 - q**2 - q**2))*(-4*q + 2*q + q) - 45*q**5 + q + 43*q**5 + q. 17*q**5 + 2*q Expand (-3*d**4 + 3*d**4 + d**5)*(-625 + 87 + 28). -510*d**5 Expand (-2*y + 0*y + 0*y)*(1 - 1 - 3*y) + (-3*y**2 - 2*y**2 + 3*y**2)*(-7 + 2 + 3). 10*y**2 Expand 4*k**5 - 1 + 1 + (2 - 1 + 0)*(-k**5 + k**5 - 2*k**5). 2*k**5 Expand (b - 2*b - b)*(2*b - 7*b - 4*b) + 9 - 6*b**2 - 9 - b**2 - b**2 + b**2. 11*b**2 Expand (-9*q + 4*q + 8*q)*(-1 - 2 - 4 + (-1 + 1 + 1)*(0 + 1 + 0)). -18*q Expand (3*q - 2*q + q)*(-3*q**3 + 7*q**3 - 3*q**3) - 3*q**4 + 5*q**4 + 7*q**4 - 2*q**4 - q**4 - q**4 + 1 + 2*q**4 - 1. 9*q**4 Expand (3 - 26 - 23)*(2*w - 3*w - w). 92*w Expand (3096*w - 3089*w + 22 + 32 - 15)*(-3 + 0 + 4). 7*w + 39 Expand (-268 + 268 + 5*z)*(-3*z - z + 1 + 3*z)*(-6 + 2 - 1). 25*z**2 - 25*z Expand (16 + 5*q - 16)*(2*q - 3*q + 6*q + (q - 6*q + 3*q)*(-4 + 3 + 2) + 2*q - q + 0*q + 8*q + 0*q - 3*q). 45*q**2 Expand (-1 + 1 + g)*(-1 + 0 + 2) + 42*g - 256*g - 279*g. -492*g Expand (2*z - 3*z + 2*z)*(8 - 1 - 1) + 0*z + 2*z - z + (2 - 5 + 4)*(0*z - 3*z + 6*z) + (-3*z - z + z)*(-3 + 0 + 1). 16*z Expand 24*h + 70*h**3 - 24*h + (-h - 2*h + h)*(0*h**2 + 0*h**2 + h**2) + 0*h**3 + 2*h**3 - 3*h**3 + (0 + 0 + h**2)*(4*h + 3*h - 5*h). 69*h**3 Expand (-3*l - 4*l - 2*l)*(10 + 7 - 15 - 9*l)*(1 + 1 - 3)*(0 + 1 + 0). -81*l**2 + 18*l Expand (10*f - 12*f**2 - 10*f)*(-3 + 0 + 7). -48*f**2 Expand ((-2 - 2 + 5)*(2 - 9 + 0) - 2 + 1 + 3)*(-2 + 2 - z). 5*z Expand (-11*f - f + 2*f)*(3 - 1 - 1) + (f - 2*f + 2*f)*(1 + 7 - 6). -8*f Expand (2 - 13 + 4)*(-113 + 205 + 4*l - 5*l). 7*l - 644 Expand (-3 - y + 3)*(1764 - 93 - 4557 - 2351 - 3002). 8239*y Expand (-g**2 - 3*g**2 + 2*g**2)*(3*g**2 - g**2 + 0*g**2) + 8*g**3 - 8*g**3 + 7*g**4 + 89*g**4 - 58*g**4 + 48*g**4. 82*g**4 Expand (0 - i + 0)*(24 - 16 - 16)*(-16*i + 3*i**2 + 16*i). 24*i**3 Expand 7*d**4 - 11*d**4 - 3*d**4 + (5*d**2 - 5*d**2 - 3*d**2)*(0*d**2 + 2*d**2 + 3*d**2) + (d**2 + 2*d**2 - 4*d**2)*(2*d**2 - 5*d**2 + 10*d**2). -29*d**4 Expand -2*q**5 + 2*q**5 - 2*q**5 + (2*q + 0*q - 4*q)*(10 - 3 + 5 + (-2 + 2 - 2)*(7 - 3 - 2) + 1 + 0 + 1)*(q**4 + 11*q**2 - 11*q**2). -22*q**5 Expand (27 - 27 + 3*p)*(-p + p - 2*p + (-5 + 5 + 1)*(-2*p - 3 + 3)). -12*p**2 Expand ((v - v - 2*v)*(2 + 0 - 5) + 4*v + 7*v - 5*v)*(4 - 3 - 2) + (v + 4*v - 3*v)*(0 + 3 - 4) - 2*v - 2*v + 5*v + v - v + v + (0 + 4 - 2)*(-1 + 1 - 2*v). -16*v Expand (2 + 2 - 3)*(-3*w + 2*w + 2*w) + 6 - 389 + 163 + 3*w. 4*w - 220
{ "pile_set_name": "DM Mathematics" }
/70 - 13*d**5/30 - 769*d**2. What is the third derivative of a(b) wrt b? 23832*b Let q(n) be the third derivative of 1037*n**4/12 + 428*n**3 + 538*n**2. Differentiate q(x) with respect to x. 2074 Let k(j) be the first derivative of 5*j**4 + 5*j**3/3 - 679*j + 57. What is the derivative of k(s) wrt s? 60*s**2 + 10*s Let x(q) be the third derivative of 677*q**7/30 + 13637*q**4/24 - 22*q**2 + 3*q - 12. Find the second derivative of x(d) wrt d. 56868*d**2 Find the third derivative of -1268 + 0*z - 185 + 1339*z**3 + 2*z**2 - 1811*z**3 - 2186*z**3 - 3*z wrt z. -15948 Let a = -29226 + 29228. Let i(o) be the first derivative of 0*o**a - 14*o + 29 - 11/3*o**3. What is the first derivative of i(p) wrt p? -22*p Suppose 10*v - 5*v - 100 = 0. Differentiate -7*x**3 + 21 - v*x**3 - 12*x**3 + 62 - 10 wrt x. -117*x**2 Suppose -3*a - 2*u = u - 21, -2*u + 12 = a. What is the second derivative of -8*g**3 - 17*g**4 - 123*g + 13*g**3 - 4*g**3 + 2*g**a - g**3 wrt g? -204*g**2 + 4 Let f(q) be the first derivative of 347*q**3/3 - 4385*q**2/2 - 2*q + 2745. Find the second derivative of f(s) wrt s. 694 Let g(n) be the first derivative of 0*n**4 + 5/2*n**2 + 11/5*n**5 - 213 + 1/2*n**6 - 13*n + 0*n**3. Find the second derivative of g(z) wrt z. 60*z**3 + 132*z**2 Let i(v) be the third derivative of 143*v**5/10 - 503*v**3/3 - 248*v**2 + v. What is the first derivative of i(s) wrt s? 1716*s Let j(y) be the third derivative of 706*y**7/105 - 115*y**4/24 + y**3/6 - 4139*y**2. What is the second derivative of j(f) wrt f? 16944*f**2 Differentiate 1602*j**2 + 330 + 192 + 6124*j**2 + 3*j - 3*j with respect to j. 15452*j What is the derivative of 464 + 7881 - 6798*c**4 - 3218 wrt c? -27192*c**3 Let s = -120 + 19. Let c = -81 - s. Find the third derivative of -38*r**6 - 11*r**6 + c*r**6 - 20*r**2 wrt r. -3480*r**3 Let k(v) = 4*v**2 - 19*v + 34. Let g be k(2). Find the first derivative of g*j - 79 + j**2 - 19*j - 12 wrt j. 2*j - 7 Let v(b) be the second derivative of 1/2*b**3 + 0 + 0*b**4 + 3*b**6 - b**2 + 0*b**5 + 103*b. Find the second derivative of v(q) wrt q. 1080*q**2 Let l(o) be the third derivative of -2777*o**5/60 - 293*o**4/2 - 3138*o**2. What is the second derivative of l(t) wrt t? -5554 Suppose -387 + 105 = -6*n. What is the second derivative of -n*w + 63*w**5 + 3*w**5 - 65*w + 61*w**5 - 21*w**5 wrt w? 2120*w**3 Let w(c) = -2*c + 200. Let a be w(60). What is the first derivative of 22*d**4 - a*d**4 - 41 - 107 - 29*d**4 wrt d? -348*d**3 Let k(s) = 16158*s - 20177. Let a(f) = -5362*f + 6725. Let j(c) = -8*a(c) - 3*k(c). What is the first derivative of j(i) wrt i? -5578 Suppose -42 + 30 = -3*o. Suppose y = -5*n + 36, -6*n + o*n + 13 = -y. Find the second derivative of -4*w**3 + n*w - 11*w**3 + 0*w + 4*w wrt w. -90*w What is the third derivative of -11*q - 2246*q**2 - 105 + 4449*q**2 - 7512*q**3 - 2205*q**2 wrt q? -45072 Let f(o) be the second derivative of 7*o**4/12 + o**3/2 - 7*o**2/2 + 10*o. Let k be f(3). Find the second derivative of -k + 5*a**3 + 4*a + 65 - 10*a wrt a. 30*a Let u = 125 - 121. What is the second derivative of -1090*x + 3*x**u - x**4 - x**5 + 1178*x - 4*x**4 wrt x? -20*x**3 - 24*x**2 Find the third derivative of 1057*d + 5006*d**3 + 1051*d - 2110*d + 515*d**2 wrt d. 30036 Let y(d) be the second derivative of 20*d - 6*d**2 + 0 - 61/6*d**3. What is the derivative of y(u) wrt u? -61 Let o(t) be the second derivative of 17/12*t**4 + 0*t**3 + 275/2*t**2 - 10*t - 5. What is the derivative of o(u) wrt u? 34*u Find the third derivative of 1317*f**3 + 115*f**2 - 4682628*f - 5 + 4682628*f wrt f. 7902 Suppose 21*g = 74*g - 265. Let m(y) be the third derivative of 0*y**4 + 1/5*y**5 + 7*y**2 + 0*y + 0 + g*y**3. Find the first derivative of m(r) wrt r. 24*r Let l(o) be the first derivative of -68*o**5/5 - 9*o**4/4 + 666*o**3 + o**2 + 4808. What is the third derivative of l(c) wrt c? -1632*c - 54 Let k = 632 - 622. What is the derivative of -k + 52 + 11*h**2 - 12*h**2 + h**2 - 147*h**3 wrt h? -441*h**2 Let m(l) be the third derivative of -l**7/70 - 683*l**5/60 + 413*l**4/12 + l**3/3 + 950*l**2 - l. Find the second derivative of m(c) wrt c. -36*c**2 - 1366 Let h(a) be the third derivative of 1471*a**5/15 - 313*a**4/4 - a**3/2 - a**2 - 5*a - 150. What is the second derivative of h(u) wrt u? 11768 What is the second derivative of 2754*q - 26906*q**2 - 78*q + 6*q**4 + 13520*q**2 + 13454*q**2 wrt q? 72*q**2 + 136 Let g = -16 + 18. Suppose -a = -3*a - g*h + 2, 4*h = 3*a - 10. What is the first derivative of 2*v + 30*v**a - 2*v + 12 - 11*v**2 wrt v? 38*v Let b(i) be the second derivative of 0*i**3 - 169*i + 1/5*i**5 + 0 - 139/6*i**4 + 0*i**2 - 1/21*i**7 + 0*i**6. What is the third derivative of b(q) wrt q? -120*q**2 + 24 Find the second derivative of 2*j**3 + 3347 - 77*j**2 + 1189*j - 586*j - 601*j wrt j. 12*j - 154 Let l(g) be the second derivative of 97*g**6/6 - g**5/10 - 564*g**2 + 159*g - 1. What is the derivative of l(y) wrt y? 1940*y**3 - 6*y**2 Let n(g) be the first derivative of -35*g**2 + 0*g**4 + 0*g**3 + 91/5*g**5 + 0*g + 5. Find the second derivative of n(s) wrt s. 1092*s**2 Suppose 100 = 5*s + 2*n, 3*s = n + 42 + 7. What is the second derivative of -s*h**2 - 5*h**2 - h + 0*h + 4*h + 3*h**4 - 8 wrt h? 36*h**2 - 46 Let y(o) = 3*o**2 - 76*o - 1287. Let r(c) = -5*c**2. Let d(u) = -3*r(u) - y(u). What is the derivative of d(j) wrt j? 24*j + 76 Let j be (413/28)/((-1)/(-4)). Let q = 70 - j. Differentiate 26 - q*o**2 - 4*o**2 - 5*o**2 with respect to o. -40*o Let d(v) = -25. Let r(o) = -5307*o + 5666. Let l(n) = -5*d(n) + r(n). What is the derivative of l(i) wrt i? -5307 Let c(v) be the second derivative of 327*v**5/10 - v**3/6 + 596*v**2 + 3261*v. Differentiate c(x) with respect to x. 1962*x**2 - 1 Find the third derivative of -1013*j**6 + 20477*j**2 - 11011*j**2 - 11104*j**2 wrt j. -121560*j**3 Let u(f) = -3*f + 36. Let a be u(12). Find the first derivative of -2*g - g**2 + a*g**2 - 32 - 35*g + 87 + 45 wrt g. -2*g - 37 Let y(o) = -2*o - o + 10*o + 12 + o**2. Let l be y(-6). Find the third derivative of -161*f**3 - l*f**2 + 163*f**3 - 8*f**2 wrt f. 12 Suppose -i + 89 = -8. What is the third derivative of -7 - i*z**5 - 27*z**2 - 22*z**2 + 42*z**2 wrt z? -5820*z**2 Let r = 95 - 90. What is the second derivative of 59*a**5 - 16*a**5 - 3 + 22*a**r - 4 + 5*a wrt a? 1300*a**3 Let g(x) be the first derivative of 5045*x**4/4 - 29*x**3 - 7*x**2/2 - 6858. Find the third derivative of g(w) wrt w. 30270 Let a(r) be the third derivative of -r**2 + 0*r + 0*r**4 - 109/60*r**5 + 0*r**3 - 29/120*r**6 + 4. Find the third derivative of a(u) wrt u. -174 Let a(i) = -14*i**3 - 15*i**2 - 1869*i. Let v(r) = 21*r**3 + 24*r**2 + 2802*r. Let l(n) = -8*a(n) - 5*v(n). What is the second derivative of l(x) wrt x? 42*x Let u(y) be the second derivative of 0*y**6 + 0*y**2 - 33*y + 0*y**4 - 1/2*y**3 + 0*y**5 + 151/42*y**7 + 0. Find the second derivative of u(k) wrt k. 3020*k**3 Find the third derivative of j**2 - 2*j**4 + 10*j**2 - 12*j**2 + 332*j + 410*j**6 + 5*j**3 - 4*j**3 wrt j. 49200*j**3 - 48*j + 6 Find the second derivative of 583*k**2 + 6 - 4676*k**2 - 1593*k**2 - 33*k + 742*k**2 wrt k. -9888 Let l(c) = -c**2 - 14*c - 19. Let r be l(-12). What is the second derivative of -20*d - 5*d - 1 - 49*d**r + 2*d - 1 wrt d? -980*d**3 Let r(p) be the third derivative of -1469*p**6/60 + p**5/60 + 47*p**4/24 - p**3/6 - 344*p**2 - 2*p + 1. Find the third derivative of r(a) wrt a. -17628 Let k(m) be the third derivative of 0*m**4 - 31*m**2 + 0 + 0*m**6 + 61/60*m**5 + 0*m**3 + 0*m**7 + 0*m - 25/336*m**8. Find the third derivative of k(l) wrt l. -1500*l**2 Suppose 0 = -13*o + 21*o - 40. What is the third derivative of -87*p**3 + 94*p**2 + 19*p**3 + p**o + 47*p**2 - 2*p**5 + 14*p**2 wrt p? -60*p**2 - 408 Suppose 11*w = 12*w + 2*y - 62, 4*w + 5*y = 245. What is the derivative of -8*u + 8*u + 205*u**3 + w*u**3 + 124 wrt u? 795*u**2 Suppose 5*v = 11*w - 9*w + 268, 120 = 2*v - 4*w. What is the third derivative of v*n**2 + 161*n**3 + 18*n**2 + 71*n**3 + 0*n**2 wrt n? 1392 Let p = 528 + -533. Let m(j) = -115*j + 17. Let y(i) = 172*i - 25. Let t(c) = p*y(c) - 7*m(c). Differentiate t(b) wrt b. -55 Let w = 4 + 80. Find the third derivative of 71*l**3 + 69*l**3 - l**2 - 140*l**3 - w - 151*l**5 wrt l. -9060*l**2 Let t b
{ "pile_set_name": "DM Mathematics" }
when 7197388 is divided by 38. 36 What is the remainder when 11734 is divided by 97? 94 What is the remainder when 4889 is divided by 39? 14 What is the remainder when 1760 is divided by 1472? 288 What is the remainder when 119442 is divided by 26? 24 What is the remainder when 257927 is divided by 257916? 11 Calculate the remainder when 1268952 is divided by 163. 160 Calculate the remainder when 47234 is divided by 28. 26 Calculate the remainder when 193027 is divided by 107. 106 Calculate the remainder when 9949 is divided by 166. 155 Calculate the remainder when 5585 is divided by 2515. 555 What is the remainder when 28762 is divided by 533? 513 Calculate the remainder when 181354 is divided by 437. 436 What is the remainder when 23986 is divided by 103? 90 What is the remainder when 10121 is divided by 5057? 7 Calculate the remainder when 82897 is divided by 199. 113 What is the remainder when 902 is divided by 747? 155 Calculate the remainder when 54608 is divided by 54504. 104 What is the remainder when 21146 is divided by 17? 15 What is the remainder when 3260 is divided by 234? 218 Calculate the remainder when 71275 is divided by 8. 3 Calculate the remainder when 247015 is divided by 1790. 1785 Calculate the remainder when 911 is divided by 106. 63 What is the remainder when 595468 is divided by 690? 688 Calculate the remainder when 32300 is divided by 62. 60 Calculate the remainder when 33414 is divided by 1282. 82 Calculate the remainder when 579 is divided by 49. 40 Calculate the remainder when 1455 is divided by 819. 636 What is the remainder when 74601 is divided by 352? 329 What is the remainder when 44883 is divided by 43? 34 What is the remainder when 131746 is divided by 59? 58 Calculate the remainder when 7845 is divided by 88. 13 What is the remainder when 3077 is divided by 506? 41 What is the remainder when 4613975 is divided by 36? 35 What is the remainder when 34226 is divided by 5703? 8 Calculate the remainder when 115157 is divided by 27. 2 What is the remainder when 21541 is divided by 5383? 9 Calculate the remainder when 200465 is divided by 899. 887 Calculate the remainder when 1804 is divided by 232. 180 What is the remainder when 16863 is divided by 8264? 335 Calculate the remainder when 9078 is divided by 4501. 76 Calculate the remainder when 523442 is divided by 38. 30 What is the remainder when 15237 is divided by 121? 112 What is the remainder when 89881 is divided by 1473? 28 Calculate the remainder when 24225 is divided by 1614. 15 Calculate the remainder when 18446 is divided by 4579. 130 Calculate the remainder when 34596 is divided by 678. 18 Calculate the remainder when 1580 is divided by 146. 120 What is the remainder when 3465 is divided by 861? 21 What is the remainder when 36829 is divided by 36828? 1 What is the remainder when 6222 is divided by 98? 48 Calculate the remainder when 3025 is divided by 1463. 99 What is the remainder when 31282 is divided by 1808? 546 What is the remainder when 59794 is divided by 636? 10 Calculate the remainder when 5241 is divided by 268. 149 Calculate the remainder when 561468 is divided by 11. 6 What is the remainder when 16711 is divided by 29? 7 What is the remainder when 323005 is divided by 103? 100 What is the remainder when 7843612 is divided by 194? 192 Calculate the remainder when 3982 is divided by 94. 34 What is the remainder when 16483 is divided by 1740? 823 What is the remainder when 1359 is divided by 177? 120 What is the remainder when 210980 is divided by 447? 443 What is the remainder when 12642 is divided by 95? 7 Calculate the remainder when 5839 is divided by 223. 41 What is the remainder when 27227 is divided by 649? 618 What is the remainder when 53521 is divided by 17795? 136 What is the remainder when 144249 is divided by 79? 74 Calculate the remainder when 2360 is divided by 608. 536 What is the remainder when 28420 is divided by 14197? 26 What is the remainder when 215791 is divided by 253? 235 Calculate the remainder when 349018 is divided by 37. 34 Calculate the remainder when 174980 is divided by 12. 8 Calculate the remainder when 2606 is divided by 272. 158 Calculate the remainder when 464703 is divided by 13277. 8 What is the remainder when 3981935 is divided by 336? 335 Calculate the remainder when 4037 is divided by 801. 32 What is the remainder when 14206 is divided by 142? 6 What is the remainder when 58917 is divided by 178? 177 What is the remainder when 3555 is divided by 604? 535 What is the remainder when 5298 is divided by 1410? 1068 What is the remainder when 5246 is divided by 1726? 68 What is the remainder when 6056 is divided by 6003? 53 Calculate the remainder when 16529 is divided by 5500. 29 What is the remainder when 123357 is divided by 113? 74 What is the remainder when 4997 is divided by 53? 15 Calculate the remainder when 46142 is divided by 157. 141 What is the remainder when 2145 is divided by 209? 55 Calculate the remainder when 345314 is divided by 110. 24 What is the remainder when 26314 is divided by 571? 48 What is the remainder when 21501 is divided by 74? 41 What is the remainder when 5699 is divided by 129? 23 Calculate the remainder when 25927 is divided by 43. 41 Calculate the remainder when 9250 is divided by 108. 70 What is the remainder when 13797 is divided by 35? 7 What is the remainder when 18662 is divided by 2665? 7 Calculate the remainder when 1487764 is divided by 131. 128 What is the remainder when 3744 is divided by 1245? 9 Calculate the remainder when 2620 is divided by 376. 364 Calculate the remainder when 118 is divided by 24. 22 What is the remainder when 94216 is divided by 23534? 80 What is the remainder when 104203 is divided by 282? 145 What is the remainder when 413 is divided by 192? 29 Calculate the remainder when 166855 is divided by 41712. 7 Calculate the remainder when 3377 is divided by 3363. 14 Calculate the remainder when 3945 is divided by 1310. 15 What is the remainder when 753 is divided by 745? 8 Calculate the remainder when 118858 is divided by 8. 2 What is the remainder when 221667 is divided by 821? 818 What is the remainder when 219772 is divided by 43942? 62 What is the remainder when 401081 is divided by 354? 353 What is the remainder when 4792 is divided by 266? 4 Calculate the remainder when 830 is divided by 281. 268 What is the remainder when 145744 is divided by 5? 4 What is the remainder when 70112 is divided by 458? 38 What is the remainder when 2945 is divided by 1238? 469 What is the remainder when 259538 is divided by 190? 188 What is the remainder when 99094 is divided by 1126? 6 What is the remainder when 626 is divided by 72? 50 Calculate the remainder when 109392 is divided by 452. 8 What is the remainder when 382 is divided by 11? 8 Calculate the remainder when 174481 is divided by 14. 13 Calculate the remainder when 1825605 is divided by 129. 126 Calculate the remainder when 7865 is divided by 393. 5 What is the remainder when 7758 is divided by 35? 23 Calculate the remainder when 10455 is divided by 83. 80 What is the remainder when 615 is divided by 72? 39 Calculate the remainder when 1339 is divided by 519. 301 Calculate the remainder when 20722 is divided by 461. 438 What is the remainder when 1569 is divided by 313? 4 Calculate the remainder when 817071 is divided by 60. 51 Calculate the remainder when 61389 is divided by 30689. 11 Calculate the remainder when 2232216 is divided by 173. 170 What is the remainder when 137511 is divided by 349? 5 What is the remainder when 918146 is divided by 172? 10 Calculate the remainder when 44181 is divided by 22084. 13 Calculate the remainder when 253585 is divided by 22. 13 Calculate the remainder when 7439 is divided by 17. 10 Calculate the remainder when 14521 is divided by 34. 3 What is the remainder when 26605 is divided by 29? 12 What is the remainder when 17515 is divided by 16? 11 Calculate the remainder when 14354 is divided by 417. 176 What is the remainder when 4876 is divided by 188? 176 What is the remainder when 73852 is divided by 23? 22 Calculate the remainder when 27505 is divided by 67. 35 Calculate the remainder when 25355 is divided by 270. 245 Calculate the remainder when 169841
{ "pile_set_name": "DM Mathematics" }
Let o be (-28)/(-6) - u/(-15). Suppose -2*x + 12 = -o*x. Sort 0, 1, x in descending order. 1, 0, x Let m(t) = -t**3 - 4*t**2 - 4*t + 1. Let a be m(-3). Let f = 7 + -4. Sort f, a, -2 in decreasing order. a, f, -2 Let i be (-3 - -2)*(1 - -2). Let b be (3 + i)/(2/1). Sort 3, 2, b in increasing order. b, 2, 3 Suppose 2*q = a + 5, a + a + 10 = -q. Sort 0, -1, a, -2 in descending order. 0, -1, -2, a Let b = -149 - -144. Let y be -1 + 0 + -4 + 2. Put y, -1, b in descending order. -1, y, b Let g be 0 - (-3 + (4 - 3)). Sort -2, g, -3 in decreasing order. g, -2, -3 Suppose -5*o - 4*o - 9 = 0. Sort 3, -5, 1, o in descending order. 3, 1, o, -5 Let q be 0 - 0/(0 + 3). Let h be 1/(q + 2 + -1). Let i(l) = -l**2. Let y be i(h). Sort 5, 4, y in decreasing order. 5, 4, y Let b(a) = -3*a - 3. Let m(v) = -v. Let s(r) = b(r) - 2*m(r). Let x be s(-4). Suppose -3*n - 10 = q + 5, -17 = 5*n - q. Sort n, x, 3 in decreasing order. 3, x, n Let b(j) = -j**3 - 4*j**2 + j + 5. Let r be b(-4). Sort 2, -15, r, -5. -15, -5, r, 2 Suppose 0 = -2*n - 0*n + 10. Suppose 2*v - 16 = 6*v. Sort n, v, 4 in ascending order. v, 4, n Suppose 14 = 2*v + 16. Put 5, 1, -7, v in decreasing order. 5, 1, v, -7 Let t = 0 - -2. Let f be ((-36)/30)/(3/(-10)). Sort -5, f, t in increasing order. -5, t, f Let z = 3.4 + -0.4. Let w = z - 6. Let v(i) = -6*i - 1. Let d be v(-1). Sort w, 0.4, d in ascending order. w, 0.4, d Let d be (-4 - -103)*(-6)/18. Sort -4, 5, d in descending order. 5, -4, d Suppose -4*x = x + 2*b + 41, 0 = -2*x - 2*b - 20. Let v(o) = -o - 6. Let g be v(x). Sort -1, -3, g in descending order. g, -1, -3 Let q = -3 + 1. Put 2, -1, -4, q in ascending order. -4, q, -1, 2 Suppose -8*u - 1 = -1. Sort 13, -4, u, 4 in descending order. 13, 4, u, -4 Let b = 0.7 + -1.7. Put -0.2, b, -4 in ascending order. -4, b, -0.2 Let w be 5 + -2 + -1*1. Sort w, 5, 0 in descending order. 5, w, 0 Let x be ((-8)/(-24) - -2) + 2/(-6). Sort -3, x, -12 in increasing order. -12, -3, x Let f(j) = -j**3 + 8*j**2 + 6*j + 24. Let k be f(9). Put k, 3, -1, -5 in descending order. 3, -1, k, -5 Let m = -0.032 + 0.532. Sort -0.9, m, 5 in decreasing order. 5, m, -0.9 Suppose n + 4 - 9 = 0. Suppose n*c = -0*c. Suppose 0 = 2*u - 4*u + 10, -4*x - u - 15 = c. Sort -3, -2, x. x, -3, -2 Let a be (-8)/18 + 4/18. Sort 5, 6, a in ascending order. a, 5, 6 Let b = 12 - 15. Sort b, 0.1, -1 in increasing order. b, -1, 0.1 Let r = -0.12 - 0.28. Let d = 3.94 + 0.06. Sort r, -1, d in descending order. d, r, -1 Suppose 3*m - 25 = -2*m. Let n(l) be the second derivative of -l**3/6 - 5*l. Let p be n(m). Put -4, 5, p in descending order. 5, -4, p Let q = 2.4 - 2.2. Put q, 1, -1/4 in descending order. 1, q, -1/4 Let t be (4/(-590))/((-1)/5). Let c = t + 112/177. Sort -0.1, c, 2/9 in descending order. c, 2/9, -0.1 Let o(k) = k**3 - 3*k**2 + 3*k. Let b be o(2). Suppose 2*x = -2*n - 8, 5*x - b*n = n - 12. Let u be 7/x - (-2)/(-3). Sort 0, u, 1 in decreasing order. 1, 0, u Let d = -18 + 24. Put 0.3, -0.1, d, 4 in ascending order. -0.1, 0.3, 4, d Let l = 13.9 - 14. Let h = -2 + 0. Put h, l, 5 in increasing order. h, l, 5 Let x = 0.06 - -4.94. Let y(h) = -h**2 - 23*h - 21. Let z be y(-22). Suppose 0 = 5*r - 4*r. Put r, z, x in decreasing order. x, z, r Let d(c) = -c**2 + 7*c - 7. Let j be d(5). Suppose -3*w = -2*w - 4. Sort j, w, -4 in descending order. w, j, -4 Let m = -7 - -9. Let g be (4/m - 3) + 2. Sort -2, 2, g. -2, g, 2 Suppose -b - 3*r - 11 = 3*b, 0 = 2*r + 10. Let x be (-12)/(-5) + (-2)/5. Let p = x - b. Sort 3, -5, p in increasing order. -5, p, 3 Suppose 3*s = -6, p = 6*p - 2*s - 9. Sort -5, p, 8, 5 in decreasing order. 8, 5, p, -5 Suppose -3*b = -4*b. Suppose b = -0*d + 6*d + 6. Sort 0.8, -4, d in descending order. 0.8, d, -4 Suppose 3*j = 5*j - 8. Sort j, -5, -1 in descending order. j, -1, -5 Let d = 2.7 - 3. Let y = d - -0.8. Let o = y - 0.8. Sort o, 0, 2. o, 0, 2 Let h(m) = -3*m**2 - m. Let d be h(0). Sort -3, -2, d, 5. -3, -2, d, 5 Suppose 0 = 7*b - 3*b + 20. Let r = 5.7 + -6. Put b, -2/13, r in decreasing order. -2/13, r, b Let m = 0.07 - 3.07. Let d = 2 + m. Suppose -3*x + 4*x = -0*x. Put -2, d, x in ascending order. -2, d, x Let u(l) = -2*l + l**3 - 9 + 8*l**2 + 10*l + 12. Let r be u(-7). Put r, 3, -6 in ascending order. -6, r, 3 Let m = 2.1 + -2.5. Let q = -1 - -0.8. Put 5/4, q, m in ascending order. m, q, 5/4 Suppose 6 + 4 = 2*z. Suppose -3*k - 26 = -5*n, n + 12 = 4*k + 6*n. Let j(t) = -t. Let f be j(k). Sort f, z, 1 in increasing order. 1, f, z Let h = -9.5 - -0.5. Let p = h + 6. Let d be ((-1)/3)/(-3 - -2). Put 2, p, d in increasing order. p, d, 2 Let u be (-3)/(-3) - 1 - 2. Let v be u/(-10) - 3/(-60). Let a be (-39)/(-36) - (-6)/(-8). Put v, a, 2/5 in descending order. 2/5, a, v Let b(n) = n**2 - 9*n + 4. Let i = 18 + -10. Let w be b(i). Put -3, 0, w in increasing order. w, -3, 0 Suppose -9*z = -14*z + 5. Suppose -6*t + 29 + z = 0. Sort t, -4, 0. -4, 0, t Suppose 0 = w - 4*x + 1, 3*w + 0*x + x + 3 = 0. Sort -6, w, 0. -6, w, 0 Let c = -12 + 12.8. Let t = c - 1.3. Let y be (1 - 1) + (-4)/(-6). Put 0.5, t, y in decreasing order. y, 0.5, t Suppose -4*z - 2 = -2*z. Put 3, -2, z in ascending order. -2, z, 3 Let m = 26 + -184/7. Let r = 1.03 - 0.03. Put r, 0, m in ascending order. m, 0, r Let m = 14 - 13.6. Put m, -0.1, -5 in descending order. m, -0.1, -5 Let i(m) = m**3 - 3*m**2 - 4*m + 2. Let k be i(4). Let c = -4 + k. Put c, 4, 3 in decreasing order. 4, 3, c Let m = 8 + -5. Suppose -m*f + 2 = -2*f. Sort f, 5, -5 in descending order. 5, f, -5 Let u be 15/(-126) - 4/(-14). Let i = -0.37 + 0.37. Let k = -9 - -10. Sort i, u, k. i, u, k Suppose 3*t = 2*t + 1. Suppose k - 4*k = -66. Suppose -2*o - 3*r = k, -2*r + 3*r = -o - 9. Sort t, -3, o in ascending order. o, -3, t Let h(u) = u**2 - 5*u - 1. Let w be h(6). Let d be (4/4)/((-1)/2 + 1). Sort d, w, -2 in decreasing order. w, d, -2 Let a = -0.1 + 0.14. Let b = a + 1.96. Sort b, 3/7, 4 in increasing order. 3/7, b, 4 Let c = -28 - -17. Let s = c - -10.8. Let b = 11 + -16. Sort s, -2, b in decreasing order. s, -2, b Suppose -3*x + x = 0. Let i(q) = q - 5. Let o be i(4). Let a be 34/10 - 2/5. Put a, x, o in decreasing order. a, x, o Let y = 34 + -41. Sort y, 0.3, 1/4. y, 1/4, 0.3 Let j be (-2)/2*2 - -7. Let p = 76 - 115. Let g be 4/p*(-6)/4. Sort j, g, -2 in decreasing order. j, g, -2 Suppose 3*y + 6 = -3*k, -3*k = 5*y - 0*y + 2. Put 8, -2, y in ascending order. -2, y, 8 Suppose 2*k - u - 5 = 0, 0*u + 5*u + 1 = -2*k. Let i = -0.4 + 0.3. Let v = 11 + -11.5. Sort i, v, k. v, i, k Let n be 1 - 3 - (-1)/1. Let p = -227/72 + 27/8. Put n, -0.5, p in descending order. p, -0.5, n Let p = -74/255 - -8/51. Let t(k) = -4*k + 15. Let f(o) = -o + 4. Let z(b) = -22*f(b) + 6*t(b). Let l be z(2). Sort l, p, 4 in ascending order. l, p, 4 Let y = 2.2 - 0.6. Let x = -0.6 + y. Put x, -0.1, 2/11 in descending order. x, 2/11, -0.1 Let n be (-3)/(-2)*(-5)/20. Sort 0.4, -0.2, n. n, -0.2, 0.4 Let q(n) = -238*n + 1. Let o be q(1). Let i = o + 2131/9. Sort 0.5, 0.2, i. i, 0.2, 0.5 Let z = 4 + -2. Suppose -q - 7 = -z. Suppose 5*j - 2*j = 6. Sort 0, j, q in increasing order. q, 0, j Let t = -0.52 - -0.22. Let c be 3/(-3) - (-3)/5. Sort t, -1, c in increasing order. -1, c, t Let l = 79/252 - 1/36. Sort -1, l, -1/6 in decreasing order. l, -1/6, -1 Let t be ((-12)/(-16))/(6/(-4)). Let v = 1 + t. Sort 6/11, 0, v. 0, v, 6/11 Let h = 6.4 - 7. Let y = h + 1. Let v be 55/15 + (-2)/3. Put y, v, -4 in ascending order. -4, y, v Let q be (-1)/(-1) - (-2)/2. Suppose 3*u + 5 = 2*i, -7*i - 15 = 3*u - 4*i. Sort u, q, 0. u, 0, q Let d = 6 + -6. Let o = d - -2. Put o, -3, -6 in decreasing order. o, -3, -6 Let g = 41 + -42. Put -3, g, -4, -5 in decreasing order. g, -3, -4, -5 Let j(x) = -x**2 + 5*x - 4. Let q be j(3). Let a(o) = -o**2 + 12*o + 5. Let f be a(12). Sort q, f, -4 in descending order. f, q, -4 Let o be (-10)/(-8)*(-12)/(-20). Suppose -3*z = 2 + 1. Sort -2, z, o in decreasing order. o, z, -2 Let j(v) = -v**2 - 5*v + 1. Let b be j(-6). Suppose 0 = -0*o - 2*o - 8. Put b, 0, o in increasing order. b, o, 0 Let g be 2*(-3 - 15/(-10)). Sort -13, -2/21, g in increasing order. -13, g, -2/21 Let a = 1 - 2. Let k = 7 + -4. Sort a, k, 4 in descending order. 4, k, a Let l = 0.21 + 7.79. Let u = 9 - 16.7. Let n = l + u. Sort 3, n, 2/13
{ "pile_set_name": "DM Mathematics" }
5 + 3)*(-2*c**2 + 0*c + 0*c) - 402 + 4*c**2 + 402. 2*c**2 Expand (-3*y + y + y)*(42*y - 111*y + 57*y). 12*y**2 Expand (3*w**2 + 4*w**2 - 5*w**2)*(6720*w**2 - 3061*w**2 - 2950*w**2). 1418*w**4 Expand (-b + 7323*b**2 + 8 + 6*b - 7319*b**2)*(b - 4*b + 2*b). -4*b**3 - 5*b**2 - 8*b Expand (96*a**2 - 212*a**2 + 63*a**2)*(a**2 - 4*a**2 + 2*a**2). 53*a**4 Expand (3 - i**2 - 3)*(-1 + 3 - 4 + (-4 - 1 + 1)*(1 + 0 - 3)). -6*i**2 Expand (10*i + 11*i - 8*i)*(-i**2 - i**2 + i**2) + (-3*i + 2*i - i)*(-3*i**2 + 2*i**2 - i**2) - 1 - 2*i**3 + 1 + 2*i**3 - 3*i**3 + 2*i**3 + i. -10*i**3 + i Expand (-3 + 2 + 3)*(-1 + 1 + 4*u)*(u + 7*u + 14*u)*(0 + 1 - 3). -352*u**2 Expand (-3 + 2 + 3)*(-65*y**2 + 65*y**2 - 8*y**4 + (y + 3*y - y)*(0*y**3 - 2*y**3 + y**3)). -22*y**4 Expand (2 + 81*x**2 + 24*x**2 - 141*x + 143*x)*(11*x**3 - 11*x**3 + 13*x**3). 1365*x**5 + 26*x**4 + 26*x**3 Expand (-4*j + j + j)*(0 + 0 + 3*j) + (-j + 0*j - j)*(3 - 3 + 3*j) - 3*j - j**2 + 0*j - j**2. -14*j**2 - 3*j Expand r**2 - 5*r**2 + 5*r**2 + (-7 + 7 + 31*r**2)*(4 - 1 - 1). 63*r**2 Expand (-44*q**2 + q**4 + 44*q**2)*(10 + 17 - 14). 13*q**4 Expand -23*u**4 - 29*u**4 + 47*u**4 + (8*u**2 - 9 + 9)*(4 - 4 + u**2 + 2 - 2 - u**2 + 4*u**2 - 2*u**2 - 3*u**2 + (u**2 - 2*u**2 + 3*u**2)*(1 - 4 + 1)). -45*u**4 Expand (u**2 - u**2 + 3*u**2)*((3*u - 2*u - 2*u)*(2*u**2 + 0*u**2 - 3*u**2) - u**3 + 0*u**3 - u**3 + (2*u**2 - 2*u + 2*u)*(u - 3*u + 0*u) + u**2 - u**2 - u**3). -18*u**5 Expand (-o**3 + 0*o**3 + 0*o**3)*(316 + 28 - 15)*(3*o + 0*o - o + (-o - 1 + 1)*(-2 + 4 - 3)). -987*o**4 Expand -f**4 - f**4 + 0*f**4 + (-f**4 + 0 + 0)*(3279 - 1007 + 557). -2831*f**4 Expand -2*j**2 + 3*j**2 + 2*j**2 + (-8*j**2 + 3*j**2 - j**2)*(1 - 10 - 1). 63*j**2 Expand (2*a**2 + 2*a**2 - 7*a**2)*(-1 + 1 + a) + (1 - 1 - 4)*(6*a**2 + 7*a**3 - 6*a**2). -31*a**3 Expand (2*f - 1 + 1)*(58 - 13 + 17) - 5*f + 4*f + 3*f. 126*f Expand (1 - 3 + 1)*(2*y**2 + 2 - 2) + 42*y**2 + y - 107*y**2 - 33*y**2. -100*y**2 + y Expand (-3 + 2*z + 3)*(z**4 - 2*z**4 - z**4) + z**4 + 2*z**5 - z**4 + (-3 - 3*z**4 + 3)*(-2 - z + 2) - 99*z**2 + 99*z**2 + 21*z**5. 22*z**5 Expand 0*h + 0*h - h - h + h + h + (-3 - 2*h + 3)*(3 + 2 - 4) + (-1 - 1 - 1)*(2*h + 17 - 17). -8*h Expand 5*d - 3*d - 3*d + (3 + 1 - 3)*(0*d - d + 0*d) - d + 0*d + 0*d + (0*d + d - 3*d)*(1 - 4 + 14). -25*d Expand -161*h**3 - 2*h + 161*h**3 + 7*h**4 - 9 + (1 - 2 - 2)*(h**4 - 3*h**4 + 3*h**4). 4*h**4 - 2*h - 9 Expand 0*g + 3*g + g + (-4 - 2 + 4)*(3*g - 5*g - 4*g) + g + 3*g - 3*g. 17*g Expand (5*k - 5*k + 2*k)*(-12 + 4 - 10)*(0 + 0 - 1). 36*k Expand (7*d + 4 - 5 - 8*d)*(-d - 4*d - 1 - 11*d). 16*d**2 + 17*d + 1 Expand (6*j**2 - 5*j**2 - 2*j**2)*(-6 + 4 + 4) - 2*j**2 + 0*j + 0*j + (4*j - 3*j + j)*(1 - 1 + 2*j) + 2*j**2 - 2*j**2 - j**2 - 6*j + 7*j - 3*j**2 + 8*j**2. 4*j**2 + j Expand (-1 - 1 + 4 + (-5 + 5 + 1)*(-3 + 2 + 2))*(-351*o + 351*o - 30*o**2). -90*o**2 Expand (-2 + 2 - r)*(-129 - 11*r + 129)*(-4 + 2 + 1 - r). -11*r**3 - 11*r**2 Expand (-1 + 4 - 4)*(0 + 0 - 5)*(2*z - z - 2*z) + (3*z - z - 4*z)*(1 - 6 + 2). z Expand 16 - 47 - s + 18 + (-7*s + 2*s + 3*s)*(3 - 8 - 5). 19*s - 13 Expand -a**5 - 2*a + 4*a**2 - 4*a**2 + (63*a**4 - 552*a + 552*a)*(2*a - 2 + 2). 125*a**5 - 2*a Expand (-3*r**3 - 3*r**3 + 3*r**3)*(6 + 0 + 3 - 2 + 1 + 2 + (5 - 5 + 2)*(1 - 2 + 2)). -36*r**3 Expand (4*r**2 - 2*r**2 + 0*r**2)*(-2*r + 4*r + r) + 2 - 2*r**3 - 2 + (-6*r + 6*r + r**2)*(r - 3*r + 3*r). 5*r**3 Expand (5*q + 10*q - 5*q)*(6*q - 14*q + 1 + 2*q). -60*q**2 + 10*q Expand -3 + 3 + l + 0*l + 0*l + 3*l + 172*l + 2039 - 2039 + (0*l + 3*l - 2*l)*(2 - 2 + 1). 177*l Expand (2 - 3 + 6 - 4*m)*(-3*m - 3*m - 6*m). 48*m**2 - 60*m Expand (842 - 842 - 80*m**5)*(1 + 3 - 7) + (-m + m + 2*m**2)*(-3*m**2 + 2*m**3 + 3*m**2). 244*m**5 Expand (579 + u**2 - 495 + u**2)*(-18*u**2 - 27*u**3 + 18*u**2). -54*u**5 - 2268*u**3 Expand (-q**2 + 5*q**2 - q**2)*(-2 + q**3 + 2) + 88*q**5 - 40*q**5 - 76*q**5 - q + 2*q**5 + q. -23*q**5 Expand (1 + 1 - 5)*(11*g**2 - 33 + 33). -33*g**2 Expand (3 + 2 - 4)*(2*k - 2*k + 3*k**2) + (-2 - k + 2)*(-3*k + 2*k - k) - 2*k**2 - 3*k + 3*k + (-1 + 1 + k)*(k - 2 + 2) + (-8*k + 3*k - 27*k)*(0*k - 2*k + 0*k). 68*k**2 Expand (12*n + 191*n + 7 - 8)*(-n + 3*n - 3*n). -203*n**2 + n Expand ((k + 0*k + k)*(0 + k + 0) - 657*k + 6*k**2 + 657*k + 17*k - 9*k**2 - 17*k)*(4*k**2 - k**3 - 4*k**2). k**5 Expand (4*i - 3 + 3)*(0 - 2 + 4)*(131*i - 56*i - 19*i). 448*i**2 Expand (-2 - 10 + 10 + 6*y)*(-478*y**2 + 60*y**3 + 478*y**2). 360*y**4 - 120*y**3 Expand (1452 + 513*f - 1452)*(-f + f - f). -513*f**2 Expand -q**3 + 2*q**3 + 0*q**3 + (0*q**3 + 0*q**3 + 6*q**3 + (19 - 19 + 6*q)*(-3 + 2*q**2 + 3))*(-5 + 3 + 0). -35*q**3 Expand 2*t**2 + t - t + 15*t - 15*t + 95*t**2 + (-1 + 3 - 1)*(3*t**2 - 2*t**2 + t**2). 99*t**2 Expand (12*o**2 + 3*o**2 + 7*o**2)*(-4*o**2 + 0*o**2 + 2*o**2)*(-3 + 1 + 1). 44*o**4 Expand (-568 + 551 + 4*w - w)*(-5 + 6 - 4). -9*w + 51 Expand -j + 1 - 1 + (2*j + 2*j - j)*(-47 + 81 + 83). 350*j Expand (5*q**4 - 4*q**3 + 4*q**3)*(156*q - 447 + 447) + (-q**3 + q**3 + 2*q**4)*(2*q + 0 + 0). 784*q**5 Expand (-4 - 1 + 2)*(-f - 219*f**2 - 210*f**2 - 4 + 415*f**2). 42*f**2 + 3*f + 12 Expand 2*i - 3 + 3 + (-151 - 155 + 14)*(6*i - 5*i - 2*i). 294*i Expand (-4 - 2 + 1)*(-6*j + 3 - 4 + 2*j) - 3*j - 2*j + 8*j. 23*j + 5 Expand -33*b + 9*b**4 + 33*b + (2 - 5 + 2 - 11*b)*(b**3 + 0*b**3 + b**3). -13*b**4 - 2*b**3 Expand (-1012*m - 578*m + 304*m)*(-2 + 4 - 1 + (2 - 3 - 1)*(3 - 1 - 3)). -3858*m Expand (3*y**3 - 4*y**3 + 2*y**3)*(-3*y - 4 + 4 + (-1 - 2 + 4)*(0*y + 2*y + 0*y) - 3*y + 3*y - y)*(-45 - 48 - 109). 404*y**4 Expand (11*p**3 + 7*p**3 - 4*p**3)*(-2*p + 4*p - 6*p) + 3*p**4 + 0*p**4 - 2*p**4. -55*p**4 Expand (-50 - 75*j + 37*j + 36*j)*(4 - 2 - 3). 2*j + 50 Expand (x**2 + 2*x**2 + 2*x**2)*(-2*x**3 + 0*x**3 + x**3) + 5*x**2 - x**5 + 1041*x - 1041*x. -6*x**5 + 5*x**2 Expand 11*f**2 + 5*f**2 - 6*f**2 + (2 - 4 + 1)*(-f**2 - f**2 + 3*f**2 - f**2 + 4*f - 4*f + (3*f + 2*f - 4*f)*(-f - 2*f + 5*f)) - f**2 - 4*f + 4*f. 7*f**2 Expand 61*w**2 + 5*w**3 - 84*w**2 - 3*w**3 + w**3 - 2*w**3 + 2*w**3 + (-5*w + 3*w + 3*w)*(3*w - 3*w - 2*w**2) + 3*w**3 + w**3 - 5*w**3 + w**3 + 0*w**3 + 0*w**3. w**3 - 23*w**2 Expand (-s**3 + s**3 - s**4)*(-15*s + 9 - 11 - 4*s). 19*s**5 + 2*s**4 Expand (-m**2 + 2*m**2 + 0*m**2)*(2*m + 0*m - 4*m + 1)*(476 - 562 - 521). 1214*m**3 - 607*m**2 Expand (-d**2 + 3*d - 3*d + (7 - 3 - 3)*(-d**2 + 0*d + 0*d) - 9*d**2 + 6*d**2 + d**2)*(d**2 - 4*d**2 + 4*d**2). -4*d**4 Expand (-3*u**2 + 3*u**2 + u**2)*(u**3 + 163 - 250*u - 203 + 237*u). u**5 - 13*u**3 - 40*u**2 Expand (-2*l**3 - l**3 + 5*l**3)*(-96*l**2 + 226*l**2 - 115*l**2) + (3*l**5 - 6*l**5 + 2*l**5)*(2 - 4 + 0) + l**3 - l**3 - l**5 + 2*l**5 - 7*l + 7*l - 4. 33*l**5 - 4 Expand (-41*f + 35*f + 15*f)*(-3 + f + 3)*(3 + 0 - 4). -9*f**2 Expand (3 + 4 - 5 + (4 - 3 - 3)*(1 - 6 - 3))*(-2*l**3 - 2*l**3 - 2*l**3). -108*l**3 Expand (6 - 6 + 10*u)*(-3*u + 2*u - 3*u). -40*u**2 Expand (2*x - 2*x**2 - 2*x)*(-246 - 421 + 197). 940*x**2 Expand (2*m - m - 1 + 2*m + 0 + 2*m + 0 + (-3 - 2*m + 3)*(-4 + 2 + 0) + 3*m - 6*m + 2*m)*(2*m - m + m). 16*m**2 - 2*m Expand (5 - 6 + 2 - 2 - 4 + 4 + 2 - 3 - 1 + (-2 + 3 + 0)*(-3 + 3 + 2))*(0 + 7 - 13)*(4*l**3 + l**3 - 3*l**3)*(3*l + 10*l - 5*l). 96*l**4 Expand 0*j**3 + 0*j**3 + 2*j**5 + (-2*j**4 + 1 - 1)*(0*j - j + 0*j) - 4*j**5 + 5*j**5 - 2*j**5 + 4*j**5 - 3*j**5 + j**3 + j**3. 4*j**5 + 2*j**3 Expand 2*c**2 - 20*c + 16 + 19*c + 4 + (-3*c - 2*c + 4*c)*(c + 0*c + 0*c). c**2 - c + 20 Expand (-1 - 1 + 1)*(-2*b**5 + 3*b**5 - 2*b**5) - 2*b**5 + b**3 - b**3 - 5*b**5 + 3*b**5 - 8*b**5. -11*b**5 Expand (-r + 0*r + 0*r)*(-103840*r**2 - 495*r**4 + 103840*r**2). 495*r**5 Expand -2*x**4 + 3 - 3 + (2*x + 0 + 0)*(2*x**3 - 3*x**3 - 2*x**3) + 564*x**3 + 54*x**4 - 8*x**4 - 565*x**3. 38*x**4 - x**3 Expand -y**4 - y + y + (y - 5*y + 3*y)*(-y**3 - y**3 + 3*y**3)*(9 + 0 + 4). -14*y**4 Expand (5*x**2 - 5*x**2 - x**3)*((-3 + 3 - 9*x)*(-1 - 5 + 7) - 4 - x + 4). 10*x**4 Expand (3*z - 4*z + 3*z)*(-5 + 2 + 1)*(4 + 0 - 3 - 3 + 2 - 1 + 2 - 1 - 4 - 3 - 1 + 2 + (3 + 4 - 5)*(-2 - 2 + 2)). 40*z Expand (2 - 5 + 2 + 5 - 5 + 2 + (2 + 3 - 3)*(0 + 3 - 4) + 0 + 2 - 3 + 3 - 1 - 3)*(-32*u - 275*u - 21*u). 984*u Expand -3*h**4 + 6*h - 6*h + 2*h**4 + 3*h**4 - 3*h**4 + (h**2 + 0*h + 0*h)*(2*h**2 - h**2 + 0*h**2) +
{ "pile_set_name": "DM Mathematics" }
e prob of sequence vx. 3/110 Two letters picked without replacement from {w: 7, c: 4, j: 2, d: 1, p: 1}. Give prob of sequence cp. 2/105 Calculate prob of sequence jsj when three letters picked without replacement from snjjjnnnnnnjn. 1/143 Two letters picked without replacement from {v: 6, k: 1, q: 1, c: 2, s: 3}. What is prob of sequence kv? 1/26 Calculate prob of sequence chc when three letters picked without replacement from {h: 4, j: 6, c: 2, w: 1}. 2/429 What is prob of sequence lm when two letters picked without replacement from {z: 1, k: 4, n: 4, d: 2, l: 2, m: 1}? 1/91 What is prob of sequence gy when two letters picked without replacement from vfgfvvtvfyv? 1/110 Calculate prob of sequence qbbb when four letters picked without replacement from bbbcqqbbbb. 1/12 What is prob of sequence ww when two letters picked without replacement from {w: 4, e: 2}? 2/5 Calculate prob of sequence eepm when four letters picked without replacement from eemmvpee. 1/70 What is prob of sequence ccdl when four letters picked without replacement from {d: 3, c: 2, j: 1, l: 1, f: 5}? 1/1980 Two letters picked without replacement from kkbjjjzkjjbjmbab. Give prob of sequence bj. 1/10 What is prob of sequence sg when two letters picked without replacement from {s: 1, v: 1, g: 5, m: 4, f: 1, a: 1}? 5/156 Calculate prob of sequence ttp when three letters picked without replacement from ppppptppppppt. 1/78 What is prob of sequence vj when two letters picked without replacement from ylrvyjh? 1/42 Calculate prob of sequence yy when two letters picked without replacement from {y: 2, m: 8, n: 9}. 1/171 What is prob of sequence nn when two letters picked without replacement from {n: 5, s: 7}? 5/33 Three letters picked without replacement from wwiiwpwp. What is prob of sequence wpw? 1/14 Three letters picked without replacement from {i: 1, y: 2, x: 1, h: 1}. What is prob of sequence hxy? 1/30 Calculate prob of sequence hyk when three letters picked without replacement from jxchcxcxyky. 1/495 Three letters picked without replacement from {j: 2, s: 1, b: 2, l: 2, k: 1, g: 1}. Give prob of sequence jjs. 1/252 Three letters picked without replacement from uunnuuuuuuu. What is prob of sequence unu? 8/55 Two letters picked without replacement from xzztxxtxxxx. What is prob of sequence tz? 2/55 Four letters picked without replacement from {h: 3, z: 4, p: 1, v: 1, q: 2, k: 1}. What is prob of sequence kpzq? 1/1485 Three letters picked without replacement from {a: 1, n: 2, f: 1, i: 1, u: 1, r: 1}. Give prob of sequence aiu. 1/210 Four letters picked without replacement from {w: 1, r: 3, m: 2, k: 1, h: 3, y: 1}. What is prob of sequence hryr? 1/440 What is prob of sequence qmmm when four letters picked without replacement from {m: 7, q: 1}? 1/8 What is prob of sequence jzt when three letters picked without replacement from rrtubrjuztbz? 1/330 What is prob of sequence ppnr when four letters picked without replacement from qbrqqppqbqpbqqrqqnq? 1/7752 What is prob of sequence iii when three letters picked without replacement from ziiiiiiiiiiiiii? 4/5 Two letters picked without replacement from ssspptppspsstsssssss. What is prob of sequence st? 13/190 Two letters picked without replacement from {a: 4, z: 1, i: 4, y: 2}. Give prob of sequence zy. 1/55 What is prob of sequence amma when four letters picked without replacement from {m: 2, a: 3}? 1/10 What is prob of sequence zyzz when four letters picked without replacement from zzzzzyyyzyzy? 35/396 Three letters picked without replacement from {q: 2, u: 1, l: 4, j: 3, f: 1}. Give prob of sequence fjj. 1/165 Calculate prob of sequence rgk when three letters picked without replacement from {k: 3, a: 5, f: 2, g: 6, r: 2}. 1/136 Calculate prob of sequence iii when three letters picked without replacement from {i: 12, d: 3}. 44/91 Four letters picked without replacement from iikiiiik. What is prob of sequence iiik? 1/7 What is prob of sequence mpj when three letters picked without replacement from {v: 3, m: 1, u: 3, j: 1, o: 2, p: 2}? 1/660 What is prob of sequence be when two letters picked without replacement from aebtt? 1/20 What is prob of sequence njjn when four letters picked without replacement from {j: 4, n: 3, f: 1, s: 1, o: 1, p: 2}? 1/165 What is prob of sequence zzt when three letters picked without replacement from {t: 7, z: 7}? 7/52 Three letters picked without replacement from {l: 1, e: 17}. What is prob of sequence ele? 1/18 What is prob of sequence ypp when three letters picked without replacement from {l: 2, p: 2, y: 2}? 1/30 Two letters picked without replacement from egxoxgxxxxxxloe. Give prob of sequence ex. 8/105 What is prob of sequence tl when two letters picked without replacement from {x: 4, l: 3, t: 1}? 3/56 Three letters picked without replacement from wwwwwwwwww. What is prob of sequence www? 1 What is prob of sequence jjlj when four letters picked without replacement from jjjjjjjjjjjjjjjjljjj? 1/20 Calculate prob of sequence memm when four letters picked without replacement from {o: 2, m: 3, e: 13}. 13/12240 Calculate prob of sequence wv when two letters picked without replacement from wwwwwwwvwwwwwwwwww. 1/18 What is prob of sequence yzz when three letters picked without replacement from zcczzyzzgzczzczgzzg? 55/2907 Three letters picked without replacement from cxrmmkkkmkmcck. Give prob of sequence rcx. 1/728 Four letters picked without replacement from {u: 2, d: 1, e: 1, q: 2, j: 1}. What is prob of sequence qude? 1/210 Calculate prob of sequence rs when two letters picked without replacement from {b: 1, p: 6, r: 2, i: 3, s: 1}. 1/78 What is prob of sequence hhl when three letters picked without replacement from hhcyqnnlc? 1/252 Three letters picked without replacement from frfwwffwwrw. Give prob of sequence ffr. 4/165 Two letters picked without replacement from {i: 2, h: 4, n: 6, p: 1, a: 1, v: 1}. Give prob of sequence pn. 1/35 Calculate prob of sequence dud when three letters picked without replacement from {u: 2, d: 10}. 3/22 Two letters picked without replacement from {k: 5, w: 14}. What is prob of sequence kw? 35/171 Calculate prob of sequence pp when two letters picked without replacement from {i: 1, p: 3}. 1/2 Calculate prob of sequence juu when three letters picked without replacement from {u: 2, n: 5, j: 3}. 1/120 Four letters picked without replacement from {v: 2, p: 3, r: 3, o: 8, s: 1, l: 1}. Give prob of sequence rolp. 1/1020 Three letters picked without replacement from xqqqypqkxupx. Give prob of sequence qqk. 1/110 Two letters picked without replacement from {y: 2, k: 4, s: 5, j: 2}. What is prob of sequence jy? 1/39 Three letters picked without replacement from {x: 5, b: 9, j: 1, v: 3}. What is prob of sequence xjv? 5/1632 Four letters picked without replacement from eceeeceeece. What is prob of sequence eeee? 7/33 Three letters picked without replacement from errjrejjrjjjrejj. What is prob of sequence rrj? 1/21 Calculate prob of sequence vvv when three letters picked without replacement from {v: 9}. 1 Three letters picked without replacement from mkxhxhhopooooxh. What is prob of sequence xmh? 2/455 Two letters picked without replacement from {u: 1, b: 5, m: 3}. What is prob of sequence mm? 1/12 Three letters picked without replacement from ixixxxxixi. What is prob of sequence xxi? 1/6 Calculate prob of sequence duk when three letters picked without replacement from kttrrrgruttrtdu. 1/1365 Calculate prob of sequence lx when two letters picked without replacement from xxxxxxlxllxxxxlllx. 4/17 Two letters picked without replacement from slsslmzzsk. What is prob of sequence zl? 2/45 Calculate prob of sequence oofo when four letters picked without replacement from offofoffooffooffoo. 21/340 Four letters picked without replacement from sfffsbsfgbgsggsgbbg. Give prob of sequence ffgg. 5/1292 Calculate prob of sequence lb when two letters picked without replacement from {b: 9, l: 10}. 5/19 Three letters picked without replacement from zzzzzyyyyzyyyyyyyy. Give prob of sequence zyy. 11/68 Three letters picked without replacement from {o: 1, r: 2, y: 8, b: 8, x: 1}. What is prob of sequence oxb? 1/855 Calculate prob of sequence cj when two letters picked without replacement from zezcjzc. 1/21 Calcula
{ "pile_set_name": "DM Mathematics" }
rder. -396, -141, 32 Sort -2, 66, -101855 in ascending order. -101855, -2, 66 Put -0.1, -0.3, 0.4, -18.21, 2 in decreasing order. 2, 0.4, -0.1, -0.3, -18.21 Put -7, -5, 644, 1 in ascending order. -7, -5, 1, 644 Sort 5, -2790565, -0.5 in increasing order. -2790565, -0.5, 5 Sort -410, -2, 3, -38, -1, -171, -3 in descending order. 3, -1, -2, -3, -38, -171, -410 Put -73, -19, -1/6, 25/8, 0 in descending order. 25/8, 0, -1/6, -19, -73 Put 8, 2, -4, -16867, -5, 0, -3 in increasing order. -16867, -5, -4, -3, 0, 2, 8 Sort 2, -7, 23091, -5. -7, -5, 2, 23091 Put 4, 54826, 4239 in decreasing order. 54826, 4239, 4 Sort -3, -28527, -2, 3, -1.6, -18. -28527, -18, -3, -2, -1.6, 3 Sort -5/6, -1635, -3, -1/6, -1, 12 in ascending order. -1635, -3, -1, -5/6, -1/6, 12 Sort 6681, -2, -14, 1, 2, -5 in decreasing order. 6681, 2, 1, -2, -5, -14 Sort 0.5, 34218073, 0.3, -0.2. -0.2, 0.3, 0.5, 34218073 Sort -2/7, -9, 5, 124.79, -2/11. -9, -2/7, -2/11, 5, 124.79 Put 488, -41, 5, -406 in increasing order. -406, -41, 5, 488 Put 10, 5, -39938 in decreasing order. 10, 5, -39938 Put 0.0403, 866, 8 in ascending order. 0.0403, 8, 866 Put -3/775, -23.869, -5 in decreasing order. -3/775, -5, -23.869 Sort -2943, -3, 0, 8, 1, -5 in increasing order. -2943, -5, -3, 0, 1, 8 Put 3, 2, -4249/89561 in descending order. 3, 2, -4249/89561 Put -84, -4, 28, 366 in decreasing order. 366, 28, -4, -84 Put -50, 34, -0.1, -10 in decreasing order. 34, -0.1, -10, -50 Put -4, -0.01, 115/2, 1.2, 5.2 in descending order. 115/2, 5.2, 1.2, -0.01, -4 Put 1.442, -438.3, 3/7 in descending order. 1.442, 3/7, -438.3 Put 17, -2/5, -2/15, -2/3, 19, -1 in decreasing order. 19, 17, -2/15, -2/5, -2/3, -1 Put -0.3, -4, 611, -2/13, -0.5, 10 in descending order. 611, 10, -2/13, -0.3, -0.5, -4 Sort -5, -63299, 26. -63299, -5, 26 Sort -0.1, -6/11, -1, 372011, -0.2 in descending order. 372011, -0.1, -0.2, -6/11, -1 Put 77, -2, 4, 0, 3, 5, -47 in decreasing order. 77, 5, 4, 3, 0, -2, -47 Sort 5, -1372, 203, 1 in descending order. 203, 5, 1, -1372 Sort -5, 1, 2, -50, 3, 72, 4 in descending order. 72, 4, 3, 2, 1, -5, -50 Put -21, -12, 20149, -1, -2 in descending order. 20149, -1, -2, -12, -21 Put 75, -52, -5, 0, 4, -4 in descending order. 75, 4, 0, -4, -5, -52 Put -8, -5, 546, -4, -2 in decreasing order. 546, -2, -4, -5, -8 Put -4, 1/1378, -1/2, 17 in ascending order. -4, -1/2, 1/1378, 17 Put 5, -490321, -108, 3 in increasing order. -490321, -108, 3, 5 Sort 59, 0, 4, -42, -4, -8, 2. -42, -8, -4, 0, 2, 4, 59 Put 2597, 82, -4 in descending order. 2597, 82, -4 Put -2116, -1, -2, -1564 in decreasing order. -1, -2, -1564, -2116 Put -372, 6, -2, -2399 in increasing order. -2399, -372, -2, 6 Sort 2, -2, 37426, -5, 3. -5, -2, 2, 3, 37426 Sort -16/3, 0.97, 77 in increasing order. -16/3, 0.97, 77 Sort -1, -5, -236, 31, 5, -3 in increasing order. -236, -5, -3, -1, 5, 31 Put -2, -33/17, -1/5920 in descending order. -1/5920, -33/17, -2 Put 3, 0, -3, -8, 6019 in decreasing order. 6019, 3, 0, -3, -8 Sort -0.3, 0.35, -2/11, -24/7, -4. -4, -24/7, -0.3, -2/11, 0.35 Put 0, -0.2, 3, -0.17, 16396, -2 in decreasing order. 16396, 3, 0, -0.17, -0.2, -2 Put -1, -89, 14, 87, -6 in decreasing order. 87, 14, -1, -6, -89 Sort -4, 4, -18, -17, 3, -49, 5 in descending order. 5, 4, 3, -4, -17, -18, -49 Sort 31/7, -0.4, -6033. -6033, -0.4, 31/7 Put -10, 39, 3, -67 in decreasing order. 39, 3, -10, -67 Put 3, -10, -2, 5, -1026, 281, -4 in descending order. 281, 5, 3, -2, -4, -10, -1026 Put -2/2357, -5, 0.2, -1/2, 124 in decreasing order. 124, 0.2, -2/2357, -1/2, -5 Sort 547276, 1, -2, 2, -5 in descending order. 547276, 2, 1, -2, -5 Sort 0, 2635, 2, 1, 12. 0, 1, 2, 12, 2635 Sort 18, -4, -65514 in decreasing order. 18, -4, -65514 Sort 145622, 0, -4, 2, -95, -1 in descending order. 145622, 2, 0, -1, -4, -95 Put -99, 68, 11, -2, 2, 5 in decreasing order. 68, 11, 5, 2, -2, -99 Sort 605485, -5, 0. -5, 0, 605485 Put 3315, 18, -3, 4 in decreasing order. 3315, 18, 4, -3 Sort -13, -3, -5, 166269 in decreasing order. 166269, -3, -5, -13 Put -11798, 3, 0.08, -0.3, -2, 1/4 in descending order. 3, 1/4, 0.08, -0.3, -2, -11798 Sort -4, -1, 19, 2, -40910 in descending order. 19, 2, -1, -4, -40910 Sort 0.09, 0, 56541, -1/2 in descending order. 56541, 0.09, 0, -1/2 Sort 4, 18264, 1, 5, -276 in decreasing order. 18264, 5, 4, 1, -276 Sort -4, -252, 6313 in descending order. 6313, -4, -252 Sort -94, 0, -60, 1, 3, 137, 5. -94, -60, 0, 1, 3, 5, 137 Put 136, 8, 0, 5, -1, 7, 13 in ascending order. -1, 0, 5, 7, 8, 13, 136 Put 0, -0.2, -6344/7, -81 in ascending order. -6344/7, -81, -0.2, 0 Sort 2, -4, 11, -8, 42990 in decreasing order. 42990, 11, 2, -4, -8 Sort 5, 4, -15, 663, -3. -15, -3, 4, 5, 663 Sort -275.9, -20, 8, 2/9, 44, 1/8 in ascending order. -275.9, -20, 1/8, 2/9, 8, 44 Sort -130037, 5, -5, -1845 in ascending order. -130037, -1845, -5, 5 Sort 3, -62, -24, -20 in descending order. 3, -20, -24, -62 Sort -19, 32.9, -1/18852. -19, -1/18852, 32.9 Put 2/3, 1/6, 0, -53032, 3, 6 in decreasing order. 6, 3, 2/3, 1/6, 0, -53032 Put 29, -6, 3, -18, 1153 in increasing order. -18, -6, 3, 29, 1153 Put -2, 0, -1, -4, -173, -5, 403 in descending order. 403, 0, -1, -2, -4, -5, -173 Put -327, -156/53, 0.12 in ascending order. -327, -156/53, 0.12 Sort -5, -3, 2, 4, -26, 19 in descending order. 19, 4, 2, -3, -5, -26 Put -5, 0, -51, 6, -75 in decreasing order. 6, 0, -5, -51, -75 Put 405, -1421, 11 in ascending order. -1421, 11, 405 Put -1, -432, 1, -1936 in descending order. 1, -1, -432, -1936 Put 8969, -15, 18 in ascending order. -15, 18, 8969 Sort -1358/5, 129, 14 in ascending order. -1358/5, 14, 129 Sort -1, 0.3, 99.4, 0.103, 5 in ascending order. -1, 0.103, 0.3, 5, 99.4 Sort 0.7, 3, -4826. -4826, 0.7, 3 Put -2078, 0.7, 11, 6, 0.3, -0.3 in ascending order. -2078, -0.3, 0.3, 0.7, 6, 11 Put -2/690899, 4, -1/10 in descending order. 4, -2/690899, -1/10 Put -3, 0.1, 1/43456, -13/14, 4 in ascending order. -3, -13/14, 1/43456, 0.1, 4 Put -2/97, -2/5, -14.2, 0, -0.5 in descending order. 0, -2/97, -2/5, -0.5, -14.2 Put -1/2, -2/7, -22.4126, 0, -2/5 in increasing order. -22.4126, -1/2, -2/5, -2/7, 0 Put 0.3, 5, -42910378/5 in decreasing order. 5, 0.3, -42910378/5 Put -1/4, 0.2, 34712, -0.5 in descending order. 34712, 0.2, -1/4, -0.5 Put 14, 9, 0.2, 12/11, -5, -6 in decreasing order. 14, 9, 12/11, 0.2, -5, -6 Put 7, -123, 458, -4, -1, -7 in decreasing order. 458, 7, -1, -4, -7, -123 Put -1, 2387, 4, -1/4, 107 in increasing order. -1, -1/4, 4, 107, 2387 Sort 5, 23, 29381. 5, 23, 29381 Sort 203, -5, 366, -4, -2, 1. -5, -4, -2, 1, 203, 366 Put 0, 2, -1, 1, 81, -3, -868 in increasing order. -868, -3, -1, 0, 1, 2, 81 Sort 3068, 1, 473, -4. -4, 1, 473, 3068 Sort 3, -1305, -2, -12, -3, -4, 0 in descending order. 3, 0, -2, -3, -4, -12, -1305 Put -1/4, 5261, -2, 180 in decreasing order. 5261, 180, -1/4, -2 Sort 13, 112, -14, 1633 in ascending order. -14, 13, 112, 1633 Sort -3, -4718, -6, 0, 1, 182. -4718, -6, -3, 0, 1, 182 Put 4, 1486, 0, 2, -2, -418 in decreasing order. 1486, 4, 2, 0, -2, -418 Sort 5, -0.3, -45/22, -39, 1 in increasing order. -39, -45/22, -0.3, 1, 5 Put 0.1, -0.3, -5/38, 2/5, -3, 151 in descending order. 151, 2/5, 0.1, -5/38, -0.3, -3 Sort -1, 0, 2736416. -1, 0, 2736416 Sort -1.46, 3/7, -1, 0.1, 90 in increasing order. -1.46, -1, 0.1, 3/7, 90 Sort 314, 1, 61, 3, 14, 4 in descending order. 314, 61, 14, 4, 3, 1 Sort -75, 2/15, -0.1, -7.14, 4 in descending order. 4, 2/15, -0.1, -7.14, -75 Put 0, -568, -25, -6, -3 in descending order. 0, -3, -6, -25, -568 Put -11, -4957, -2, -1, 15 in decreasing order. 15, -1, -2, -11, -4957 Sort 8, 5, 61, -2, -354, -9 in decreasing order. 61, 8, 5, -2, -9, -354 Sort -6, 3, 0.2602, 45.6 in descending order. 45.6, 3, 0.2602, -6 Sort -0.3165, -3, -0.2, 3/11, -0.1 in ascending order. -3, -0.3165, -0.2, -0.1, 3/11 Put 7, -559, -24428 in increasing order. -24428, -559, 7 Put -69556324, 3, 4/9 in descending order. 3, 4/9, -69556324 Sort -19368, 4, -6, -35 in descending order. 4, -6, -35, -19368 Sort -2/5, 21/67, -8/7, 151. -8/7, -2/5, 21/67, 151 Sort 1148, 2, 7, 125, 1. 1, 2, 7, 125, 1148 Sort 3, -2827, 2, 85, 4 in decreasing order. 85, 4, 3, 2, -2827 Put 5, 159, 4, -136, -5 in decreasing order. 159, 5, 4, -5, -136 Sort 715, 8, 7, -4, -2, 5, -5. -5, -4, -2, 5, 7,
{ "pile_set_name": "DM Mathematics" }
*3 and give n. -6 Rearrange 0*q + q**3 + 0*q - q + (11*q**2 + q**2 - q**2)*(-7*q + 5*q - 5*q) to h*q**2 + y*q**3 + d*q + z and give d. -1 Rearrange (-4 + 7 + 3)*(1 - 1 - 6)*(0*f**2 - f**2 + 0*f**2) to the form r*f**2 + x + y*f and give r. 36 Rearrange -16*a**2 + 47*a**2 - 15*a**2 + (-3*a + 2*a + 0*a)*(-3*a + 3*a - 2*a) + 3*a**2 + 0*a**2 - 2*a**2 - 2*a**2 + 2*a - 2*a to v*a**2 + f + c*a and give v. 17 Rearrange (-6 + 20 + j**4 + 4 - 4*j**3)*(-3 - 1 + 2) to the form m*j**2 + i*j**4 + g*j**3 + s*j + b and give i. -2 Rearrange -43*m - 2*m**3 + 41*m - 3*m**2 - 3*m**2 + 1 + 2*m**4 to x*m + o*m**3 + p*m**4 + y + u*m**2 and give u. -6 Rearrange -4*n**4 - 2 + 0*n**3 + 1 + 2*n**4 + n + 2*n**3 to u + f*n**3 + k*n + g*n**4 + d*n**2 and give u. -1 Rearrange 146*p - 304*p + 88*p to the form u*p + b and give b. 0 Rearrange 6 + 2*a**2 - 6 - 15*a**2 to the form p*a**2 + m + c*a and give p. -13 Express 4*v + 0*v - 2*v - v + 4*v - 2*v + (1 - 1 - 1)*(5*v - 4*v + v) + v - 10*v + 7*v as y*v + c and give y. -1 Rearrange 45*u**4 - 2*u**2 + 3*u**3 - 3 + 50*u**4 - 93*u**4 to t*u**2 + h + m*u**4 + x*u + g*u**3 and give t. -2 Express ((-3 + 1 + 4)*(-1 + 1 - 1) - 1 + 0 + 2)*(-4*n + 2*n + 0*n + 2) in the form u*n + c and give c. -2 Express (5 - 15 + 43)*(-2*t - 3*t**3 + 2*t**3 + 5*t) as w*t**3 + i*t**2 + q + z*t and give z. 99 Rearrange (-1 - 3 + 5)*(-p + p + 2*p) + 2*p - p - 2*p + p - 2*p + 2*p + (5*p - p - 2*p)*(-4 + 2 + 0) to the form r + a*p and give a. -2 Express 7*v - 2*v + v + v in the form r*v + u and give r. 7 Express 0*j + 29 + j - 26 as k*j + x and give k. 1 Express (3*k + k - k)*(-6 + 3 + 4)*(1 - 5 + 2) in the form d + n*k and give n. -6 Express -4*n + 2*n + 0*n + (-1 + 4 + 1 + (0 + 0 - 1)*(3 + 2 - 4))*(5*n + 7 - 7) in the form k + a*n and give a. 13 Express -l**4 + l + 2*l**2 + 2 - 7*l**4 + 5*l**4 + 0*l**4 in the form u*l + t*l**2 + z + c*l**3 + k*l**4 and give z. 2 Express -2*t + 2*t**2 + 4*t**3 - 5*t**3 + t**4 - 12*t in the form n*t**4 + h + y*t**2 + i*t + g*t**3 and give g. -1 Express (-2 + 13 - 1)*(-w**3 + 2 - 2)*(-7*w - 3*w - 10*w) in the form u*w**2 + y + d*w + n*w**4 + c*w**3 and give n. 200 Express (-4 + 0 + 5)*(3*g**3 - g**4 - 3*g**3) - 1 - 4*g**2 + 2*g**4 + 4*g**2 in the form c + w*g**2 + v*g**3 + t*g + x*g**4 and give c. -1 Rearrange (68 + 32 + 10)*(-n**2 + n**4 + 0*n**4 + n**4) to s*n**4 + h + i*n**2 + o*n**3 + l*n and give s. 220 Rearrange (0 + 2*b + 0)*(3 + 1 + 0)*(-4 + 2 + 4) to the form f + g*b and give g. 16 Express -3*k - 5*k + 4*k + 1 + 2*k - 1 + (-2*k + 3*k + k)*(-2 + 2 - 2) + 3*k + 0*k - 2*k in the form o + i*k and give i. -5 Rearrange 3*y - 4*y + 7 - 5 - 3*y**4 to d*y**2 + v + t*y**3 + s*y + m*y**4 and give v. 2 Rearrange -2*a**3 - a**2 - 5*a**2 + 6*a**2 + 17*a**4 + 1 to f*a**2 + t*a**4 + g*a + s*a**3 + i and give i. 1 Express -d**4 - 3 + 7*d + 11*d - 6*d**3 - 16*d in the form n*d**4 + c*d**3 + s*d**2 + v + r*d and give v. -3 Rearrange 1 + 0 - 47*g**4 + 4*g**2 + 46*g**4 - 3*g**2 to the form j*g**4 + l*g**2 + a + d*g + o*g**3 and give l. 1 Express -2 + 3*y**2 - 2*y**3 + 0*y**3 - 3*y**2 as v*y**3 + f + d*y + h*y**2 and give v. -2 Express -20*o + 20*o - 1 - o**3 - o**3 - 3*o**3 + 0*o**3 + (-3*o - 2*o + 2*o)*(-5*o + 2*o**2 + 5*o) as g*o**2 + t + j*o + w*o**3 and give t. -1 Express (0*i + i + i)*((-1 + 1 + 3*i**2)*(-2*i - 1 + 1) - 5*i**3 + 67*i**2 - 67*i**2) in the form s*i**2 + t*i**3 + d + f*i + b*i**4 and give b. -22 Express 0*s**2 - 2*s - 2*s**2 - 3*s**3 + 6*s**3 as z*s + c*s**3 + r*s**2 + v and give c. 3 Express -6*p**3 + 10 - 5 - p**2 - 6 - p**3 in the form s*p**2 + y + i*p**3 + r*p and give y. -1 Rearrange -3*u**2 + u**2 - 3*u**2 + (-5*u + 0*u + 3*u)*(-u - 2*u + 4*u) to the form w*u + j*u**2 + a and give j. -7 Express (2*b - 3*b - 4*b)*(0*b - 4*b + 6*b) + 11*b**2 + 0 + 2 - 9*b**2 in the form h*b**2 + l*b + v and give h. -8 Express (t**2 + 2*t**2 - t**2)*(-t**2 + 3 - 3) + 3*t**3 - 66*t**4 + 40*t**4 - 2*t**3 in the form m*t**3 + n*t**4 + p + j*t + v*t**2 and give m. 1 Rearrange 1 + 0*a**3 + 0*a**3 - 3 + 2*a**2 + a**3 + 3*a to the form l*a**2 + r*a**3 + g*a + k and give l. 2 Express (2 - 2 - a)*(6 - 5 + 3)*(0*a - 3*a + 6*a) as t + x*a + n*a**2 and give n. -12 Express 10*z**2 - 14*z**2 - 2 + 2 + z in the form s*z + d*z**2 + f and give s. 1 Rearrange -69*v + 105*v + 1 - 58*v to the form w*v + k and give k. 1 Express -2*d**2 + d + d**2 + 5 - d**2 + d**4 + 0*d**2 + 2*d**3 as j*d**4 + n*d**3 + p*d + w*d**2 + y and give y. 5 Rearrange -4*y - 45*y + 89*y to m*y + t and give m. 40 Rearrange (2*v**3 - 2*v**3 + 2*v**4)*(0 - 1 + 0) - 2*v**2 + 3*v**4 + 2*v**2 to a*v + l*v**3 + k + z*v**2 + d*v**4 and give d. 1 Express -3*p**2 + 28*p**3 - 15*p**3 + 3*p - 1 - 15*p**3 in the form a + y*p**3 + w*p**2 + m*p and give y. -2 Express 2*b**2 - 2 + 13*b**3 + 7*b**3 + 4 in the form n + q*b**3 + f*b + m*b**2 and give n. 2 Express (-7*f + 30 - 30)*(0 - 3 + 2)*(-2*f + 4*f + 0*f) as r*f + z + u*f**2 and give u. 14 Rearrange -46 + 84 + 3*d - 45 to f + k*d and give f. -7 Rearrange 0*y**2 - y**2 + 3*y**2 + (-4*y + y + 7*y)*(2*y + 0*y - 3*y) - 6*y**2 - 10*y**2 + 4*y**2 to the form z*y**2 + c + p*y and give z. -14 Rearrange (2 - 5 + 2)*(42 + 21 - 9)*(-5*u + 3*u**2 + 5*u) to the form v*u**2 + c + i*u and give v. -162 Rearrange (c - c + 2*c)*(17 + 13 - 34)*(4*c - 2*c + c) to the form p*c + t + u*c**2 and give u. -24 Express 9*f - 15*f - 63*f in the form m*f + n and give m. -69 Rearrange ((-6*x - 4*x + 2*x)*(-2 - 7 + 2) + 2 + 2*x - 2)*(x**2 + 2*x - 5*x + x) to the form h*x + g*x**2 + z + a*x**3 and give g. -116 Rearrange (-28*g - 61*g + g - 107*g)*(-2*g**2 + 3*g**2 + 0*g**2) to the form r*g + f*g**3 + s*g**2 + b and give f. -195 Express 2*c**4 + 2 - 2 + (-c**2 + 1 - 1)*(c - c**2 - c) + c**4 - 2*c**4 + 2*c**4 + 15*c + 183*c**4 - 15*c as g*c**2 + b*c**4 + y*c**3 + k*c + n and give b. 187 Rearrange -4*o**2 + 14*o**2 - 5*o**2 to z*o + b + v*o**2 and give v. 5 Rearrange 1 - 8*u + 3 - 4 to j + o*u and give o. -8 Express (-2*t + 2*t + t)*(t**2 - 6*t**2 + 4*t**2) + (-4*t**2 + 4*t**2 + 3*t**3)*(1 - 3 + 4) in the form a*t**2 + c*t + b + y*t**3 and give y. 5 Express 16*d**2 + d + 2 - d**2 - 4*d**2 - 2*d as n*d + o*d**2 + u and give u. 2 Rearrange ((3 - 4 + 3)*(-2*u + 3*u - 3*u) + 3*u + u - 3*u - 2*u + 3*u - 2*u)*(5 + 8 + 0)*(-1 + 2 - 5)*(-1 - 2 + 2) to the form z*u + n and give z. -208 Express (3 + 0 - 2)*(5 - 1 - 3)*(6*t - t - 2*t) as g + l*t and give l. 3 Rearrange 5 - 9 + 13*a + 4 to h*a + n and give h. 13 Express 67*m - 88 + 88 as r + a*m and give a. 67 Express 125*q**2 + 26*q**2 - 252*q**2 as x*q + g*q**2 + j and give j. 0 Rearrange 4*s + 6*s + 0*s to g*s + x and give g. 10 Rearrange -2*i**3 - i**2 + 3*i**2 + 3 + 5*i**3 - 2*i**3 to the form z + s*i + v*i**3 + h*i**2 and give v. 1 Express -10*b + 5*b + 13*b + 11*b as d*b + f and give d. 19 Express -9 + 5*w**3 + 0*w**3 + 10 as r*w + a + b*w**2 + g*w**3 and give g. 5 Express ((0*u + 4*u - 2*u)*(5*u - u - 2*u) + 9*u**2 + 9*u**2 - u**2)*(u + u - 4*u) as h*u**3 + i + t*u + c*u**2 and give h. -42 Express (d**3 - 7*d**3 - d**3)*(1 - 5 + 1)*(2 + 1 - 1) - 4 + 4 + 2*d**3 as h*d**2 + b*d + z + c*d**3 and give c. 44 Express (1 - 1 + n**4)*(285 + 375 - 126) in the form q*n**2 + f*n**3 + x + m*n + y*n**4 and give y. 534 Rearrange -3*v**3 + 9*v**4 + 4*v**3 + 0*v**3 - 8*v**4 - 4 - v**2 - 2*v to k*v**4 + g*v**3 + s*v**2 + u*v + d and give k. 1 Rearrange (-7 - 3 + 4)*(-3 + 3 - p + (-3 + 2 + 3)*(-4*p + 4*p - p)) to the form m + x*p and give x. 18 Rearrange (12*g - 19*g - 55*g)*(0*g - g + 2*g) to w*g + n*g**2 + r and give n. -62 Express 4*s**2 + 3*s - 4*s**2 + 2 + 2 + s**3 in the form g + x*s + i*s**3 + y*s**2 and give g. 4 Express (-i - 3 + 3 + (-1 + 2 + 3)*(-i - 2*i + 2*i))*(4 - 4 - 2 - 2 + 3 + 1 + (1 - 1 - 1)*(1 - 2 + 3) - 4 + 3 + 7) in the form y*i + j and give y. -20 Rearrange 1 + 18*g**2 - 6 - 2 - 15*g**2 to h + k*g**2 + w*g and give h. -7 Express f**3 + 5 - f + f in the form m*f**2 + y*f**3 + n*f + r and give r. 5 Rearrange (4*k**3 - 9*k**3 - k**3)*(-k + k - 5*k) + (4 + k**2 - 4)*(3 - k**2 - 3) to the form o*k + l + a*k**4 + g*k**2 + h*k**3 and give a. 29 Rearrange 77*k**2 - 27*k**2 + 26*k**2 to the form j + a*k**2 + g*k and give a. 76 Rearrange -3*j**4 - 4*j**4 + 3*j**4 + (j - j - j**3)*((2 - 1 - 3)*(4*j + 0*j - 3*j) - 6*j - 4*j - 4*j) to
{ "pile_set_name": "DM Mathematics" }
2*s + 3*s - 6 = 0, -h + s + 2 = 0. Let g = -0.6 - -1. Which is the closest to h? (a) -0.4 (b) 1 (c) g b Let a = -5.1127 + 0.1127. Let w = -4/45 + -38/45. Let s = w - -3/5. What is the nearest to -2/7 in -2/7, a, s? -2/7 Suppose -4*m = -b + 6, -4*b = 13*m - 12*m - 58. Let y = -2.2 - -0.2. What is the closest to 2/3 in 0.1, b, y? 0.1 Let q be 2/(-3) - (1 - (0 + 2)). Let r(k) = -2*k**2 - 9*k + 5. Let m be ((-5)/(-3))/((-4)/12). Let h be r(m). Which is the closest to h? (a) 6 (b) -1 (c) q c Let r = -0.01 - 0.39. Let k = r + -0.1. Suppose 3*m + 27 - 12 = 0. Which is the closest to -2? (a) m (b) k (c) 2 b Let t = -35 + 38. Let n = 5 + 2. Let w = -6.5 + n. Which is the nearest to 1? (a) t (b) 4/9 (c) w c Let z = 15060 - 858383/57. Let l = z - 6/19. What is the nearest to 1/4 in 0.4, l, 0? l Suppose z + 3 = 0, t + 4*z - 36 = 8*z. Let y be (-56)/t + 1*2. Which is the closest to y? (a) -5 (b) -2/13 (c) -0.4 c Let a be 4/10*(-5)/9. Suppose 6*j - 130 = 11*j. Let z be 20/50 - j/(-40). What is the closest to 1 in -3, z, a? a Suppose 12 = -5*r + r - 2*n, -3*r + 4*n - 20 = 0. Let i = 0.0552 - 5.1852. Let w = -0.13 - i. Which is the closest to w? (a) 5 (b) 1/3 (c) r a Let n be 3 - (10/4 - 66/44). Let w = -9 - -6. Let v = w + -1. Which is the closest to 1? (a) v (b) n (c) 4 b Let k = -57.15 + 5.55. Let r = k + 52. Which is the nearest to 0.1? (a) -3/4 (b) -4 (c) r c Let o be (198/(-1605))/((-3)/(-15)). Let z = o + 8464/13375. Let l = z - -23/125. What is the nearest to 0 in l, 4/5, -1? l Let l(i) = -i**2 - 18*i - 16. Let p be l(-17). Let r be p/((-27)/9)*(-6)/4. Which is the closest to r? (a) -1/6 (b) -1.2 (c) 0.3 c Let p = -36 + 18. Let v = p - -14. What is the nearest to 7 in 3, -5, v? 3 Let h = -0.072 + 3.092. Let n = h - 0.02. Let u be 12/45*(-6)/(-4). Which is the closest to -1? (a) n (b) u (c) 7 b Let d = 0.05 + -1.05. Let o(k) = k**2 - 8*k - 2. Let i be o(8). Let m be i + 5 + (-1 - -3). Which is the nearest to d? (a) m (b) -3 (c) -0.3 c Let h(f) = f**3 + 8*f**2 - 7*f + 21. Let o be h(-9). Let j be 12*-1*o/9. Which is the nearest to -2/3? (a) -0.08 (b) j (c) 0 a Let g = -2410/9 - -268. Let i = -160/3 + 1129/21. Which is the closest to 0.2? (a) 2/23 (b) g (c) i b Let z = 0.8 + -0.5. Let v = z - 0.4. Let h = 415 - 411. What is the closest to 1/2 in -4, h, v? v Let t = -5 - -4. Let w = 0.049 + -0.149. Let p = 0.2 + 0.2. Which is the closest to t? (a) p (b) w (c) -3/2 c Let r be (-2500)/(-24) - 2/12. Let x = 103 - r. What is the nearest to x in 36, 1/6, 0.2? 1/6 Suppose -7*y + 28 = -0. Let m(w) = w**3 - 11*w**2 + 11*w - 9. Let d be m(10). Which is the closest to d? (a) y (b) -1/3 (c) -1/7 c Let f = -0.02 - 0.48. Let p be 1/((-147)/36 + 4). Let j be 1 + 0 - (-4)/p. What is the nearest to -2 in 5, j, f? f Let p = 81 + -81. What is the closest to p in -1, -11/3, -2? -1 Let h = 181.6 + -166. Let m = h - 16. Which is the closest to -1? (a) m (b) 0.3 (c) 11 a Let x = 4 - -1. Let n be (-8)/70 - (168/15)/(-28). Which is the closest to n? (a) -0.3 (b) 0.3 (c) x b Let n = 396 + -2377/6. What is the closest to -2 in -2, 3, n, 4? -2 Let x = 735 - 735.2. Let l = 8 - 7.7. What is the closest to x in -1, -0.3, l? -0.3 Let q = -99 - -100. What is the closest to -2 in -0.2, -2, q? -2 Let n = -23.7 + 23.7. What is the nearest to n in 90, -0.5, -1/7? -1/7 Let d = 91/2 - 46. Let y = -0.2 + 0.8. Let w = y + -1.6. What is the nearest to w in -5, -1, d? -1 Let u = -109.3 + 109. Which is the closest to u? (a) 5 (b) 0.3 (c) -2/7 c Let v be (2/3)/((-20)/6). Let r = 348.8 - 349. Which is the nearest to r? (a) -0.4 (b) v (c) 4 b Let p = 0.67 - -33.33. Let w = 34.2 - p. What is the nearest to -1 in w, -0.1, 4? -0.1 Let t be 242/198 + 2/(-9). What is the closest to 1 in 3/2, t, 4? t Let r = 47/18 + -35/18. Which is the nearest to 2? (a) 5 (b) 0.2 (c) r (d) -3/8 c Let v = -732 + 655.7. Let u = -76 - v. Suppose n = -3*w - 2, -n - 4*n = -4*w - 28. Which is the nearest to -1? (a) -3/4 (b) u (c) w a Let j be 0 + (-1 + -2 - 1). Let y be (-2)/j*(-6)/8. Which is the closest to 0? (a) -1/4 (b) 0 (c) y b Let f = -2 - -2.1. Let l = -0.73 + 6.53. Let v = 5.4 - l. What is the nearest to f in -3, v, 2? v Let k = -1.03 + 0.63. Let j be (-2 + -1)*(-4)/6. Let d(h) = h**2 - h. Let c be d(j). What is the closest to k in -3/8, -0.4, c? -0.4 Let d = 3.6 + -5.3. Let h = -1.7 - d. Let u = h - 0.2. What is the closest to 0 in -2, 4, u? u Let d be (-20)/(-6) + 0 - (3 - 1). Which is the closest to 82? (a) 10 (b) 1/7 (c) d a Let j = -3 - -2.5. Let x = 14.21 + -31.21. What is the nearest to 2/5 in j, x, 5? j Let o = -44.1 - -43.1. Let v = 11 + -6. Which is the closest to 0? (a) v (b) o (c) -0.2 c Let b = 0.2 + 0. Let p be ((-12)/(-80))/((-39)/(-36) - 1). Let w = -13/10 + p. What is the closest to b in -0.5, 4/3, w? w Let g be (-11)/(385/(-18)) + (-32)/40. Which is the nearest to g? (a) 3 (b) 5 (c) -0.2 (d) 0.07 c Suppose 5*x + 25 = -0. Let y be ((-3)/6)/(x/40). Let r = -1 + 0. Which is the nearest to y? (a) r (b) 4 (c) 4/9 b Let v = -23 + 23. Suppose 6*y + 15 - 39 = v. What is the nearest to -1 in 0, y, 10? 0 Let w = -3.99 + -0.01. Let x = 115 - 111. Let s = -0.9 + -0.1. Which is the nearest to s? (a) x (b) -5 (c) w c Let n = -0.17 + 0.17. Let m(l) = l**3 - 11*l**2 - 10*l - 33. Let h be m(12). Which is the closest to n? (a) -1 (b) h (c) 4 a Let y be 1*(6 + -2 + 1). Let k be (-2)/y + 2/30. Suppose 4*i - 3*u - 4 = 0, 4*i - u + 24 = -5*u. What is the nearest to k in 3/8, i, -0.05? -0.05 Let q = 1 + -0.9. Let i = 1.97 - -0.03. Let u = i - 3. Which is the nearest to u? (a) -0.5 (b) 2/5 (c) q a Let n = -1.1 - -0.8. Let r = -0.31 - -1.41. Let u = 0.9 - r. What is the closest to u in n, 0.4, -0.5? n Let j(u) = -u**3 - 8*u**2 - 6*u + 9. Let i be j(-7). Let w = 0.048 - 0.148. Let q = 15 + -14. Which is the closest to w? (a) i (b) q (c) 3 b Let h = 0.276 - 0.076. What is the nearest to -8 in 5, h, 3? h Suppose -37*w - 26 - 122 = 0. What is the closest to 0.2 in -1, 3, w? -1 Let y = -17 - -14. Let i(x) = -x**2 - 3*x + 1. Let r be i(y). What is the closest to r in -1/9, 2, 0.2? 0.2 Let t = 2.613 - -0.387. What is the closest to -2/9 in -2/19, t, 0.4? -2/19 Let o = -0.052 - 0.248. Let k(u) = u**2 + 13*u + 43. Let l be k(-7). Which is the nearest to o? (a) -2 (b) l (c) -3 b Let b be (-296)/(-222) - (-1)/(-1). Suppose 2*f - 1 = 3*f. Let p = f - -5. What is the closest to b in 0.4, -0.5, p? 0.4 Let j = 0.12 - -4.88. Let v = 10.6 + -10.1. Let y = 0.3 - v. Which is the closest to 0.2? (a) j (b) -4 (c) y c Let f = 15 - 17. Let i = 8 - f. Let m = -10.5 + i. What is the nearest to -2/9 in -1, 0.2, m? m Let q = 105 + -1574/15. Let r = q - -71/60. Let n = 32/63 + -2/7. Which is the closest to -0.1? (a) -4 (b) n (c) r b Let h = 19 + -22. Let r = h - -2.7. Let f = -2 + 2.1. Which is the nearest to 2/9? (a) 1 (b) f (c) r b Let o = -93.9 + 89. Let t = o + 1.9. What is the nearest to 0 in t, 2/7, 7? 2/7 Let w = -0.5 + 0.6. Let p be 2/(-7) + (-24)/(-35). Let l be -1*(-13)/4 - (-3)/(-12). Which is the nearest to -0.1? (a) l (b) w (c) p b Let r(m) = 16*m**2. Let f be r(1). Let z be 1/(-4) + 6/f. Let t = -3890 + 3888. What is the closest to 1 in -1, z, t? z Let p be 10/28 + 75/525. Which is the closest to -15? (a) p (b) -5 (c) -3 b Let c = -52 + 52.3. Let o = 0.16 - 0.36. What is the nearest to -0.2 in 5, c, o? o Let m be -3 + (-48)/(-12) + (-22)/16. What is the nearest to 3 in m, 5, 0? 5 Suppose 8 + 9 = -q. Let s(z) be the first derivative of -z**2 - 29*z + 3. Let w be s(q). What is the nearest to 2 in 2, 4, w? 2 Let x = -17.78 - -32.78. Which is the nearest to 1/2? (a) x (b) -3 (c) 0.1 (d) -0.5 c Suppose -5*x = -0*h + h + 17, -5*x + h - 13 = 0. Let i = 3 - 4. Which is the nearest to 0.2? (a) 0.4 (b) x (c) i a Let x = -3.6 + 5.6. Let d = 0.8 - -3.2. Let p = -6 + d. Which is the nearest to 1? (a) 3 (b) p (c) x c Let v = 0.038 + 4.062. Let n = v - 1.1. Let r = 1 - n. Which is the nearest to r? (a) 5 (b) -2 (c) 1 b Let m = 2415 - 4827/2. Which is the nearest to 0.07? (a) m (b) -0.1 (c) 4/5 (d) 2/15 d Let k = 16 - 23. Let q = k - -15/2. Which is the nearest to q? (a) -5 (b) 2/3 (c) 4 b Let i be (0 - 15/(-10))*40/(-6).
{ "pile_set_name": "DM Mathematics" }
5515? 5726 What comes next: -7261, -7199, -7137, -7075, -7013? -6951 What is next in 1461, 218, -3159, -9738, -20587? -36774 What comes next: 13677, 13679, 13681, 13683, 13685, 13687? 13689 What is next in 308, 379, 492, 641, 820, 1023, 1244? 1477 What comes next: 7973, 15959, 23945? 31931 What is the next term in -18333, -36669, -55019, -73389, -91785, -110213, -128679? -147189 What is next in 343, 1162, 2527, 4438, 6895? 9898 What is the next term in -159, -40, 169, 474, 881, 1396, 2025? 2774 What comes next: -8853, -35407, -79665, -141627, -221293, -318663, -433737? -566515 What comes next: -1504, -3027, -4552, -6079, -7608? -9139 What comes next: 111345, 222684, 334023, 445362, 556701? 668040 What comes next: -122, -240, -440, -722, -1086? -1532 What is the next term in 56, -81, -204, -307, -384, -429, -436, -399? -312 What is next in -324, -1291, -2904, -5163? -8068 What is next in -4690, -18758, -42204, -75028, -117230, -168810, -229768? -300104 What comes next: 87, 303, 651, 1131? 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1599 What is next in 1101, 2739, 5463, 9267, 14145, 20091? 27099 What is the next term in 97032, 97023, 97008, 96987, 96960, 96927, 96888? 96843 What is the next term in -4607, -4599, -4601, -4613, -4635? -4667 What is next in 2211, 2080, 1949, 1818? 1687 What is the next term in 222, 1561, 5058, 11751, 22678, 38877, 61386, 91243? 129486 What comes next: 130, 200, 248, 268, 254, 200? 100 What comes next: 560, 836, 1100, 1346, 1568, 1760, 1916? 2030 What comes next: 234, 556, 878, 1200? 1522 What is next in 7370, 7264, 7158? 7052 What is the next term in -1070, -1045, -988, -887, -730, -505, -200, 197? 698 What comes next: -1076, -4337, -9770, -17375, -27152, -39101, -53222? -69515 What is the next term in -55022, -55014, -55000, -54980, -54954? -54922 What is the next term in 1527, 1668, 1809? 1950 What comes next: 8, 12, 14, 14, 12, 8, 2? -6 What is next in -238, -555, -898, -1273, -1686, -2143, -2650? -3213 What is the next term in 7294, 14489, 21686, 28885, 36086, 43289, 50494? 57701 What is the next term in 162, 466, 1142, 2376, 4354, 7262? 11286 What is next in -442, -461, -464, -445, -398, -317, -196? -29 What is next in 7098, 14197, 21296, 28395, 35494? 42593 What is next in 20127, 80521, 181181, 322107, 503299, 724757? 986481 What is the next term in -61226, -244895, -551012, -979577, -1530590? -2204051 What is next in -30413, -30412, -30411, -30410, -30409, -30408? -30407 What is next in 948, 1879, 2800, 3711, 4612, 5503, 6384? 7255 What is next in -487, -2849, -7089, -13207? -21203 What is the next term in 230257, 230261, 230267, 230275, 230285? 230297 What is next in 38741, 77470, 116199, 154928, 193657? 232386 What is the next term in 72879, 72764, 72647, 72528, 72407, 72284? 72159 What is the next term in 9825, 9809, 9793? 9777 What comes next: 1118, 1108, 1096, 1082, 1066, 1048, 1028? 1006 What is next in -53722, -107445, -161168? -214891 What is next in 1, 39, 111, 223, 381, 591, 859? 1191 What is next in 20335, 40691, 61051, 81415, 101783? 122155 What is next in 1072, 1046, 1016, 982, 944, 902, 856? 806 What comes next: 39764, 39767, 39776, 39797, 39836, 39899, 39992, 40121? 40292 What is next in 16, -106, -508, -1328, -2704? -4774 What is next in 32, 2, -28? -58 What comes next: 1052, 1189, 1326? 1463 What comes next: 11329, 22653, 33977? 45301 What is next in 7936, 15863, 23788, 31711? 39632 What is next in -774, -1588, -2408, -3240, -4090, -4964? -5868 What comes next: -150, -271, -480, -783, -1186, -1695, -2316, -3055? -3918 What comes next: 1390221, 1390212, 1390193, 1390158, 1390101, 1390016, 1389897? 1389738 What is the next term in 1007, 2369, 3731, 5093, 6455, 7817? 9179 What is the next term in 95561, 95558, 95555, 95552, 95549, 95546? 95543 What is next in -285, -307, -369, -489, -685, -975, -1377? -1909 What comes next: -1571, -1686, -1801, -1916? -2031 What is next in -6762, -6587, -6414, -6243? -6074 What is the next term in -8344, -8331, -8318, -8305? -8292 What is next in -4126, -8210, -12294? -16378 What is next in 463136, 463140, 463154, 463184, 463236? 463316 What is the next term in 28735, 28748, 28769, 28798, 28835, 28880? 28933 What comes next: 1273, 10163, 34281, 81241, 158657, 274143, 435313? 649781 What is the next term in -402, -777, -1146, -1503, -1842, -2157, -2442? -2691 What comes next: 1723, 14079, 47613, 112915, 220575, 381183? 605329 What is next in 561, 512, -137, -1686, -4435, -8684? -14733 What comes next: 67488, 134975, 202462? 269949 What is next in -340, -452, -568, -688, -812? -940 What is next in -1098, -2215, -3346, -4497, -5674? -6883 What comes next: 766, 3141, 7106, 12661, 19806, 28541, 38866? 50781 What comes next: -396, -297, -184, -57? 84 What is the next term in -128531, -257071, -385621, -514181, -642751, -771331, -899921? -1028521 What comes next: -1402, -1790, -2426, -3304, -4418? -5762 What is the next term in 12456, 12455, 12454, 12453, 12452? 12451 What is the next term in -28, 121, 462, 1001, 1744, 2697, 3866, 5257? 6876 What comes next: -864829, -864832, -864835, -864838, -864841, -864844? -864847 What comes next: 4093, 8236, 12373, 16498, 20605, 24688, 28741? 32758 What is next in 149048, 298084, 447120, 596156, 745192, 894228? 1043264 What comes next: 1211, 1381, 1551, 1721, 1891, 2061? 2231 What is next in -12864, -12871, -12880, -12891, -12904, -12919? -12936 What is next in -286, -1084, -2404, -4240, -6586, -9436, -12784? -16624 What is the next term in 25260, 25386, 25590, 25866, 26208, 26610? 27066 What comes next: -10642, -21278, -31918, -42562, -53210, -63862, -74518? -85178 What is the next term in -346, -408, -186, 320? 1110 What is the next term in -76, -101, -170, -289, -464? -701 What comes next: -28248, -28245, -28242, -28239? -28236 What is the next term in 25642, 25649, 25660, 25675, 25694? 25717 What is the next term in 570, 510, 452, 396, 342? 290 What is the next term in 11489, 45969, 103435, 183887, 287325? 413749 What is the next term in -214, -419, -618, -811, -998, -1179, -1354? -1523 What comes next: 48743, 97491, 146241, 194993, 243747? 292503 What comes next: 39346, 39343, 39338, 39331, 39322, 39311? 39298 What is the next term in -1485, -1478, -1471? -1464 What is the next term in -518895, -518888, -518867, -518826, -518759, -518660, -518523? -518342 What comes next: 1021, 2036, 3021, 3964, 4853, 5676, 6421, 7076? 7629 What comes next: -1929, -3887, -5865, -7869, -9905, -11979, -14097, -16265? -18489 What comes next: 2985219, 2985220, 2985223, 2985228, 2985235, 2985244? 2985255 What comes next: -465, -317, -167, -15? 139 What comes next: 87, 122, 195, 306, 455, 642, 867? 1130 What is next in 484, 409, -220, -1403, -3140? -5431 What is the next term in -10178, -20377, -30578, -40781? -50986 What is next in 2055, 4105, 6155, 8205, 10255? 12305 What comes next: -21217, -21228, -21241, -21256, -21273? -21292 What comes next: 5228, 10457, 15686, 20915, 26144, 31373? 36602 What is next in 325, 175, 11, -173, -383? -625 What is the next term in -728, -765, -834, -941, -1092, -1293, -1550? -1869 What is next in 1919, 3883, 5823, 7727, 9583? 11379 What comes next: 826, 850, 892, 958, 1054? 1186 What is next in 5629, 11253, 1687
{ "pile_set_name": "DM Mathematics" }
is the second derivative of -4*h + 3*h + 2*h - 2*h**z wrt h? -12*h Let f(p) = 2*p**2 + 11*p + 3. Let k(w) = w**2 + w. Let r(m) = -f(m) + 3*k(m). Let q be r(9). Differentiate -6*d - 1 + q*d - 2*d**3 wrt d. -6*d**2 Let w(o) be the third derivative of 2*o**5/15 - o**3/6 + 2*o**2. What is the first derivative of w(l) wrt l? 16*l Let k(v) be the third derivative of -v**5/40 - v**4/3 - v**3/2 + 9*v**2. Let s(g) be the first derivative of k(g). Differentiate s(h) with respect to h. -3 Let l(b) = 3*b. Let f be l(1). What is the third derivative of f*r**2 + 3*r**2 - 2*r**2 + 2*r**4 + 0*r**2 wrt r? 48*r Let w(i) be the third derivative of i**7/42 - i**5/60 + 6*i**2. Find the third derivative of w(t) wrt t. 120*t Let d(i) = -17*i - 19. Let n(q) = 18*q + 18. Let f(h) = 4*d(h) + 3*n(h). Differentiate f(w) wrt w. -14 Find the first derivative of 52*b**4 + 48*b**4 - 92*b**4 - 14 wrt b. 32*b**3 Let m(u) be the third derivative of -u**7/30 + 11*u**5/60 - 10*u**2. Find the third derivative of m(n) wrt n. -168*n Find the third derivative of 26*f**2 - 2*f + 347*f**3 - 173*f**3 - 112*f**3 wrt f. 372 Let j(b) be the third derivative of b**5/20 - b**4/4 + 11*b**2. Find the second derivative of j(z) wrt z. 6 Let a(f) be the second derivative of f**7/504 + f**5/120 - 7*f**4/12 - 7*f. Let j(x) be the third derivative of a(x). Differentiate j(q) wrt q. 10*q Let q(a) be the first derivative of 0*a**2 + 0*a + 0*a**4 + 3/7*a**7 + 0*a**5 + 5 + 0*a**6 + 1/3*a**3. What is the third derivative of q(o) wrt o? 360*o**3 Let d(n) = n - 2. Let b be d(2). Let r = 2 - b. Find the first derivative of -15*p**r - p**3 - 1 + 15*p**2 wrt p. -3*p**2 Let x(l) = 2*l**3 + 9*l**2 - 3*l. Let c(z) = 5*z**3 + 26*z**2 - 8*z. Let v(u) = 3*c(u) - 8*x(u). What is the third derivative of v(b) wrt b? -6 Let p(k) = k**2 - 1. Let f be p(-2). Find the first derivative of 0*o + 2*o - 2*o + 2 + 2*o**f wrt o. 6*o**2 Let g(p) be the first derivative of 0*p - 3 + 0*p**3 - 1/2*p**4 + 2*p**2. Find the second derivative of g(q) wrt q. -12*q Let j be (-33)/7 - (-4)/(-14). Let t = j - -9. Find the second derivative of -3*f**4 - 2*f + f + f**t wrt f. -24*f**2 Let q = -8 + 14. Suppose 0 = -5*h + q + 9. Find the second derivative of -5*s**2 + 4*s**2 + h*s**2 + s wrt s. 4 Let w be (-2)/(-5) - 4/10. Let c be w - (-2 - -1) - -1. What is the third derivative of -z**6 + 0*z**6 - 3*z**2 + z**c wrt z? -120*z**3 Let k be (-1 - 1)/(2 - 0). Let c be (-3 - -3)/(0 + k). What is the third derivative of 2*o**2 - 4*o**5 + c*o**2 + 6*o**5 wrt o? 120*o**2 Suppose 4*g = -61 + 21. Let j = g + 14. What is the third derivative of -d**j - d**2 + 0*d**2 + 0*d**4 wrt d? -24*d Let v(a) be the second derivative of 0 + 0*a**3 + 1/4*a**4 + a + 0*a**5 + 1/30*a**6 + 0*a**2. Find the third derivative of v(f) wrt f. 24*f What is the first derivative of -10*o**2 + 9*o**2 + 15 + 8*o**2 + 7*o**2 wrt o? 28*o Let o(i) = -i + 1. Let n(k) = 12*k - 21. Let g(c) = n(c) + 15*o(c). What is the first derivative of g(z) wrt z? -3 Let b be (1 + 1 + 4)*-1. Let n = 9 + b. What is the second derivative of 3*c + n*c**5 - 4*c**5 - 2*c wrt c? -20*c**3 Suppose 0 = 3*g - 5*g. Suppose -12 + g = -4*t. Find the second derivative of 0*s - 6*s**4 - s**4 + 3*s + t*s**4 wrt s. -48*s**2 Let s(o) = 3*o**3. Let i(g) be the second derivative of -g**2/2 - g. Let r(u) = -2*i(u) - s(u). Find the first derivative of r(d) wrt d. -9*d**2 Let c(z) = z**3 + 1. Let n(k) = 5*k**4 - 2*k**3 + 8*k**2 - 2. Let q(d) = 2*c(d) + n(d). What is the third derivative of q(r) wrt r? 120*r Find the third derivative of 43*m**2 - 26*m**2 + 3*m**4 - 3*m**4 + 10*m**5 wrt m. 600*m**2 Let c be (-44)/(-56) + (-2)/7. Let v(y) be the second derivative of c*y**2 - 1/10*y**5 + 0 + 0*y**3 - y + 0*y**4. Find the first derivative of v(u) wrt u. -6*u**2 Let s(g) be the first derivative of -g**5/20 - 3*g**2/2 + 6*g - 5. Let q(n) be the first derivative of s(n). Differentiate q(h) wrt h. -3*h**2 Let w(f) be the second derivative of 0 - 3*f + 1/3*f**4 + 0*f**3 + 2*f**2. Differentiate w(p) with respect to p. 8*p Suppose -5*i = -4*i - 16. Find the third derivative of -3*n**6 + i*n - 16*n + 2*n**2 wrt n. -360*n**3 Let i(v) = 84*v**4 - 8*v**3 + 11*v**2 + 11*v - 171. Let w(s) = -28*s**4 + 3*s**3 - 4*s**2 - 4*s + 57. Let r(n) = 4*i(n) + 11*w(n). Differentiate r(c) wrt c. 112*c**3 + 3*c**2 What is the third derivative of -887*g**4 + 8*g**2 - 9*g**6 + 887*g**4 wrt g? -1080*g**3 Let z be (-2)/6 + (-14)/(-6). Let k = z + 1. What is the first derivative of 2*t**k + 3 - 4 + t**3 wrt t? 9*t**2 Suppose 21*w - 24*w = 0. Let n(g) be the first derivative of 0*g**4 + 1 + g**3 + 0*g**2 - 3/5*g**5 + w*g. What is the third derivative of n(z) wrt z? -72*z Suppose 3*r - 2*r = 4*a + 102, 2*r + 96 = -4*a. Let i be (-5)/a + 28/10. What is the first derivative of -4*d - 5*d + i*d - 4 + 4*d wrt d? -2 Find the second derivative of -2*u**5 + 13*u - 4*u**5 + 0*u - 5*u**5 wrt u. -220*u**3 Let d(f) be the second derivative of 9*f**8/56 - 9*f**4/4 - 27*f. What is the third derivative of d(k) wrt k? 1080*k**3 Let i(c) be the second derivative of -15*c**3/2 + 33*c**2/2 - 3*c + 6. What is the derivative of i(p) wrt p? -45 Let o(c) = -c + 16. Let u be o(11). Differentiate 0*r - 1 - u*r + 2*r wrt r. -3 Let l(h) be the first derivative of h**8/1680 - h**6/360 - 8*h**3/3 + 5. Let s(b) be the third derivative of l(b). What is the third derivative of s(u) wrt u? 24*u Suppose -10*w = -11*w. Let k(f) be the first derivative of -1/3*f**3 + 0*f**2 + 0*f**5 + 0*f**4 - 1 + w*f - 1/6*f**6. Find the third derivative of k(o) wrt o. -60*o**2 Let y(r) be the first derivative of -r**5/5 + 6*r + 9. Find the first derivative of y(b) wrt b. -4*b**3 Let d(f) = f**3 + 4*f**2 - 4*f + 5. Let k be d(-5). Let a(c) be the first derivative of -3 - c + 0*c**4 - 2/5*c**5 + k*c**2 + 0*c**3. Differentiate a(l) wrt l. -8*l**3 Suppose -12 = 2*z - 6*z. Find the second derivative of -3*n**3 - 3*n - n**z - 2*n**3 + 4*n**3 wrt n. -12*n Suppose 2*g = -g - 18. Let b be 3*(1 + g/(-9)). Find the second derivative of -3*v**b - 4*v**5 + 5*v**5 - v wrt v. -40*v**3 Let a(l) be the third derivative of -l**6/12 - 7*l**5/60 - 3*l**2. Find the third derivative of a(r) wrt r. -60 Let x(h) = h**2 + h. Let z(m) = 25*m**2 + 2*m + 3. Let a(i) = 2*x(i) - z(i). What is the derivative of a(d) wrt d? -46*d Let n be -2*(-2 + 33/18). Let y(k) be the third derivative of 0*k + 0 + n*k**3 + 1/12*k**4 + k**2. What is the derivative of y(i) wrt i? 2 Let c(n) be the third derivative of 3*n**2 + 0*n - 7/60*n**5 + 0*n**3 + 0*n**4 + 0 + 1/40*n**6. Find the third derivative of c(x) wrt x. 18 Differentiate 4*s**2 - 11*s**2 - 10 - 12*s**2 wrt s. -38*s What is the first derivative of -7*t**2 + 7*t**2 - 33*t**3 + 3 wrt t? -99*t**2 Let u(z) = -5*z - 1. Let d(w) = w**3 - 6*w**2 + 5*w - 1. Let t be d(5). Let q be u(t). Find the second derivative of 2*y**4 - 3*y**4 - q*y + 3*y wrt y. -12*y**2 Let d be (0 - -5 - 3)*2. What is the derivative of -d*k**4 - 3 + 4 + 3*k**4 + 2 wrt k? -4*k**3 Suppose c + 15 = -2*o + 7*o, -5*o + 35 = -5*c. Find the first derivative of 2 + 3*m + o*m - 4*m - 4*m wrt m. -3 Let o be (-8)/(-20) + (-8)/(-5). What is the second derivative of 2 - 5*w - o - 5*w**4 - 2*w wrt w? -60*w**2 Let c(u) be the second derivative of u**4/3 - 2*u**3/3 + 3*u. Let m(h) = 9*h**2 - 8*h. Let n(f) = -5*c(f) + 2*m(f). Find the second derivative of n(t) wrt t. -4 Suppose -4*l + 4 = -3*l. Find the third derivative of 4*h**5 - h**2 + 2*h**2 + 0*h**2 - l*h**2 wrt h. 240*h**2 Find the third derivative of -217*w**2 - w**3 - 3*w**4 + 211*w**2 + w**3 wrt w. -72*w Let v(d) be the third derivative of -17*d**4/24 - 23*d**3/6 - 45*d**2. Differentiate v(y) with respect to y. -17 What is the third derivative of -35*o**2 + 27*o - 27*o - 8*o**5 + 40*o**5 wrt o? 1920*o**2 Let r(v) = v**3 - 10*v**2 + v - 8. Let q be r(10). What is the second derivative of 2*o**4 - 3*o**4 + q*o**4 + 5*o - 2*o wrt o? 12*o**2 Find the second derivative of 8331 + 30*t**3 - 8331 + 20*t wrt t. 180*t Let g = -13 - -8. Let v = -1 - g. What is the first derivative of 4 + 1 - v - n**3 wrt n? -3*n**2 Suppose -2*u + 18 = -3*c + u, -5*c + 3*u - 22 = 0. Let k = 4 + c. Find the third derivative of f**4 - 2*f**3 + k*f**3 + 2*f**2 wrt f. 24*f Let y(d) be the second derivative of d**8/
{ "pile_set_name": "DM Mathematics" }
is 1100101101001101001 + -10101011? 1100101100110111110 In base 8, what is 17 + -76303062? -76303043 In base 4, what is 0 - 1201313012? -1201313012 In base 3, what is 10 + 111211002210120? 111211002210200 In base 9, what is 8 + 80421473? 80421482 In base 12, what is 1a3199a - -b? 1a319a9 In base 12, what is a723 - -40? a763 In base 5, what is -2220 - 313424? -321144 In base 9, what is -44 - 3221121? -3221165 In base 5, what is -234001 + 13103? -220343 In base 10, what is -1802 - -3013? 1211 In base 8, what is 3366 + 2743? 6331 In base 2, what is -10110111110001 + -1111010110? -11000111000111 In base 7, what is -166130535 - 0? -166130535 In base 13, what is -8600 + 4163? -446a In base 11, what is 15752 + -3463? 1229a In base 3, what is -1010121 + 11021220200? 11020210002 In base 9, what is 240 - 28730? -28480 In base 12, what is -1092227 + 4? -1092223 In base 11, what is -69703275 + 2? -69703273 In base 12, what is -3 - -a249a08? a249a05 In base 3, what is 10100100 + -22112020? -12011220 In base 7, what is 103546 + -5151? 65365 In base 6, what is -333525022 - -3? -333525015 In base 10, what is 7781 - -5486? 13267 In base 11, what is 167a779a - 2? 167a7798 In base 16, what is -37 + -3ee29? -3ee60 In base 12, what is 2289 - 207b6? -1a529 In base 11, what is 3543 - 53? 34a0 In base 10, what is 724692 + -7? 724685 In base 15, what is -1a + -21bc74? -21bc8e In base 16, what is -9 - 32d3f85? -32d3f8e In base 3, what is -100012020121010 + 1101? -100012020112202 In base 5, what is -232102103 - 4? -232102112 In base 14, what is -27 - 3b63b5? -3b63dc In base 2, what is -110101100110111010 + 1000011001? -110101011110100001 In base 9, what is 86 + 1355670? 1355766 In base 12, what is -1083b - -1184? -b677 In base 14, what is 3a - -7c9aa? 7ca06 In base 14, what is -b4 - 21bca? -21ca0 In base 12, what is 2589 + 25b04? 28491 In base 15, what is c9 + 7cd6? 7db0 In base 10, what is -33 - 509617? -509650 In base 14, what is -1030d + -11a? -10429 In base 2, what is 1000100001010010110111001001 + 10? 1000100001010010110111001011 In base 12, what is -955 - -4bab0? 4b157 In base 8, what is 2 + 24511707? 24511711 In base 15, what is 326b63 - -40? 326ba3 In base 12, what is 36a2286 + -5? 36a2281 In base 12, what is 15537b9 - -16? 1553813 In base 4, what is 11320312222323 - 0? 11320312222323 In base 8, what is 33251 + -33? 33216 In base 3, what is 20221210 - -1001001121? 1022000101 In base 13, what is 7 - 22858c9? -22858c2 In base 10, what is -939 + -20531? -21470 In base 8, what is -46232362 - 5? -46232367 In base 16, what is -2b0ff12 - 3? -2b0ff15 In base 14, what is 21 + 1a735b? 1a737c In base 15, what is -23a8 - -1d0e? -599 In base 4, what is 11010100121 - -1313? 11010102100 In base 11, what is -420 + -762? -1082 In base 16, what is 16205d + 53? 1620b0 In base 9, what is -7006 - 4334? -12341 In base 2, what is -100001011100100000 + -101000? -100001011101001000 In base 10, what is 763269 - -76? 763345 In base 9, what is -855 - -1783827? 1782862 In base 13, what is -2c72 - -a? -2c65 In base 12, what is -b33 + 14a37? 13b04 In base 12, what is 8a3aba3 - 0? 8a3aba3 In base 15, what is -1597d96 + e? -1597d87 In base 3, what is -1120112021 - 101101002? -1221220100 In base 9, what is -10 + -266380? -266400 In base 13, what is -1484 + -39b8? -516c In base 5, what is -1301130 - 1113441? -2420121 In base 9, what is 411756 + 8? 411765 In base 5, what is -22 + 404404343? 404404321 In base 14, what is 19 - 44c5? -44aa In base 6, what is 1102422 + -340? 1102042 In base 3, what is 1 - 12112120020101? -12112120020100 In base 14, what is 338b06 + 6? 338b0c In base 8, what is -223264 + -46? -223332 In base 9, what is 3 + -40015543? -40015540 In base 14, what is -5 - 140acc68? -140acc6d In base 2, what is -111111101001 + -101000111010? -1101000100011 In base 10, what is 3092581 + -3? 3092578 In base 11, what is -4 - -a42a0a0? a42a097 In base 4, what is -130102003 + 32? -130101311 In base 16, what is 7165 - -261? 73c6 In base 2, what is 1011111000101000100011100 + 101? 1011111000101000100100001 In base 11, what is 383 + 19a1? 2274 In base 7, what is 1620 - -15132052? 15134002 In base 9, what is -3 + -56233382? -56233385 In base 14, what is 699c1 + 32? 69a13 In base 5, what is 10 + -30431011030? -30431011020 In base 16, what is -27aa1a + -4e? -27aa68 In base 16, what is -2a353e0f - 0? -2a353e0f In base 16, what is 5 - 1d68e9? -1d68e4 In base 8, what is -1271 - -70354? 67063 In base 5, what is 103220424310 - 34? 103220424221 In base 16, what is 0 - 4a5ba9? -4a5ba9 In base 10, what is 510 - 439405? -438895 In base 11, what is 5 + -14a9018? -14a9013 In base 7, what is 215161 - 3022? 212136 In base 3, what is 220121221122 + -1111? 220121220011 In base 10, what is -7534793 - 10? -7534803 In base 11, what is 5074a6 - -31? 507527 In base 8, what is 3 + 1337203762? 1337203765 In base 11, what is -1557 + -16290a? -164366 In base 14, what is a49d - -1676? bb35 In base 6, what is 1 - 1223445144? -1223445143 In base 13, what is -2253 - -1875? -6ab In base 2, what is -10010110 + 101001100110011? 101001010011101 In base 14, what is -241 + -128164? -1283a5 In base 5, what is 1101 - -333410? 340011 In base 9, what is -4 - -184164431? 184164426 In base 10, what is -480881 - -4? -480877 In base 11, what is -243917 - 33? -24394a In base 12, what is -24869683 - -2? -24869681 In base 4, what is 21030023113 - 333? 21030022120 In base 2, what is 11110011101011110 - -10100101011? 11110110010001001 In base 8, what is -110304237 - 4? -110304243 In base 6, what is -2 + -434055510? -434055512 In base 2, what is 10000 - -11000101110100100101? 11000101110100110101 In base 14, what is 40d03 + -594? 4074d In base 6, what is 55332224201 - 1? 55332224200 In base 11, what is 2aa72337 + -1? 2aa72336 In base 15, what is -288 - 29a10? -29c98 In base 13, what is 119 + 13c5? 1511 In base 15, what is -147da9 + 0? -147da9 In base 15, what is -1e554d3 + 16? -1e554bc In base 13, what is 3b2 - 1ab74? -1a792 In base 15, what is -53577 - 12e? -536a6 In base 13, what is -5160a5 + -75? -51614a In base 13, what is 10 + c668b? c669b In base 13, what is -7 + 2b3b8cb? 2b3b8c4 In base 2, what is 100110100100110010 + 110011100? 100110101011001110 In base 11, what is 103606 + 1310? 104916 In base 8, what is 1064206 + -71? 1064115 In base 10, what is -26343 + -4812? -31155 In base 6, what is -43541511 - 25? -43541540 In base 15, what is 3b16 - a? 3b0b In base 8, what is 31 + 52555? 52606 In base 8, what is -16 + -5163470? -5163506 In base 4, what is 20 + -22003310113? -22003310033 In base 7, what is -161 + 5312603? 5312412 In base 9, what is 68274 + 538? 68823 In base 5, what is 3 - -130242430033? 130242430041 In base 8, what is 2555 + 1043006? 1045563 In base 13, what is -160b33459 + -2? -160b3345b In base 3, what is -122 + -222022221201? -222022222100 In base 2, what is 10101010010001100011000 + 0? 10101010010001100011000 In base 6, what is 500 - 521130? -520230 In base 8, what is -1064 + -33321? -34405 In base 7, what is 3 + 535604142? 535604145 In base 12, what is -17a58 - -1b91a? 3a82 In base 4, what is 112020 + 20130130? 20302210 In base 7, what is -3 - -510216505? 510216502 In base 8, what is -234 - -1663645? 1663411 In base 15, what is 1584 + ba? 164e In base 3, what is -20212210201 + 12022? -20212121102 In base 13, what is 32270253 + -5? 3227024b In base 16, what is 1809a - 2ef9? 151a1 In base 15, what is 17 + 1d1b21? 1d1b38 In base 2, what is 11 - -1000011111001010111001001? 1000011111001010111001100 In base 15, what is bb8a4 + 3d? bb8e2 In base 14, what is -22d0a68 - -8? -22d0a60 In base 9, what is -11 + -4537037? -4537048 In base 11, what is -a8459 + 2a? -a842a In base 6, what is 1335 - -11153432? 11155211 In base 12, what is 387160 + -15? 387147 In base 12, what is 43a174 - -1a? 43a192 In base 6, what is -15305 + 2331350? 2312041 In base 16, what is 14e7ff3 - 3? 14e7ff0 In base 11, what is -612 - 89102a? -891641 In base 3, what is 1022000 - -1212011? 10011011 In base 14, what is -3374 - -4ca8? 1934 In base 5, what is -21034120101 + -4? -21034120110 In base 7, what is -2050 + -44203? -46253 In base 9, what is -5 - 23242141? -23242146 In base 3, what is 12022122 + 10120112? 22220011 In base 10, what is 10672067 + -9? 10672058
{ "pile_set_name": "DM Mathematics" }
*(h*h/(h/h**(-27)))/h*h)**(-7)/(h**21*h*h)**(-47) assuming h is positive. h**1256 Simplify (x**(-5)/x*x**(-2)*x)**(-3)/((x**1)**(-4/3)*(x**(-2/7))**34) assuming x is positive. x**(673/21) Simplify ((m**(-3/2)*m)/m**(-5/3))**(-49)/((m**(-2/13)/m**(-1/4))/((m*m*m**(-2/7))/(m/(m*m**(-2/9))))) assuming m is positive. m**(-182705/3276) Simplify (i**(-1/9)/(i*i*(i/i**0)/i*i*i))**1/(i**(-3/2)*i**(-4)*((i**(1/2)/i)/i)**(1/8)) assuming i is positive. i**(227/144) Simplify (y/(y**(1/3)/y)*y*y/(y/(y/(y**(-9)/y))*y))/((y*y*y**(2/17)*y)/(y/(y*y**(-5/4))))*(y**(1/5))**(-5)/(y**(2/9))**(2/15) assuming y is positive. y**(89683/9180) Simplify (((((r**(-2)/r)/r)/r)/r*r**(3/5))/(r**(-2))**(-2))/((r/(r**7/r))/((r*r**3)/r))**(2/5) assuming r is positive. r**(-31/5) Simplify (l/(l*l**6)*l*l/(l/l**9)*l**(-19)/l**(-6/5))**(-2/39) assuming l is positive. l**(46/65) Simplify ((a**6*a)/a**7)**(-4/5)*(a/(a/(a/a**1*a))*a)**(2/3)*(a/a**1)**(-4/23) assuming a is positive. a**(4/3) Simplify ((k**(1/3)*k*k)/k*k**(2/13))/((k/(k*(k/(k*(k**(-4)*k)/k))/k))/(k/(k**(2/7)*k)))*(k**(-1))**(-31)*(k**(5/6)*k*k)/k**(3/8) assuming k is positive. k**(82249/2184) Simplify ((m**(-17)*m)**(-13)/(m/m**8*m**32))**(2/21) assuming m is positive. m**(122/7) Simplify (((z**(7/3)/z*z)/(z**(1/9)/z*z))/(z*z**(-1/4)*z*z)**(5/7))/((z*z**(1/6)*z)/(z/z**(-4/5)))**(2/9) assuming z is positive. z**(667/3780) Simplify (u*u**(-4/7)*u*u**1/u*u)**(-42)*(u**(1/6)*u/(((u/(u*u/u**9*u))/u)/u*u))**(-32) assuming u is positive. u**(158/3) Simplify w**(-5)*w**4*w*(w**(2/5))**(-2/45)*(w**1)**(1/30)*(w*w*w/(w/(w*w*w**5))*w*w*w)/w*w**(-1/4) assuming w is positive. w**(9689/900) Simplify (t**6/(t/t**3)*t**3/(t/(t/t**(3/5))))/((t**(-3/5)*t)**(-45))**(-25) assuming t is positive. t**(-2198/5) Simplify (h*h/((h/(h*h/h**(-3)*h))/h)*h/(h/(h/(h**(-5/8)/h))))**(-48)/((h**0)**(5/4))**47 assuming h is positive. h**(-510) Simplify ((u/u**(-2))**(-4/21)/((u*u**(-8)*u*u*u)/u**(-2/7)))/(u**(6/11)/(u*u**(1/11)/u)*u**(2/5)*u*u**(1/4)) assuming u is positive. u**(1599/1540) Simplify ((h**(-3/10)/h**8*(h**(2/3))**(-49))**30)**(-38) assuming h is positive. h**46702 Simplify ((((a**1*a)/a)/(a/a**(2/9)))/(a**0*a)**20)/(a**(-3)*a**(-2/17)*a**(-1/5)/(a*a/(a*a*a**(-6)*a))) assuming a is positive. a**(-8767/765) Simplify (g**(-2/3)*g**(-3/7)*g/g**1*g**3)/((g/((g**(2/3)/g)/g))**(-3/5)*g/(g/((g/(g/(g*g**(3/7)/g*g)))/g))*g**6/g) assuming g is positive. g**(-223/105) Simplify ((g**(-20)*g*g/g**(1/2))/(g**(3/7)*g)**(-11/7))**(-2/33) assuming g is positive. g**(531/539) Simplify ((a*a/(a/(a*a*a**26*a)))/(a*(a/(a/a**(-2)*a))/a*a*a)*(a**(-2/37))**(-26))**18 assuming a is positive. a**(21582/37) Simplify (y**(-1/7)*y**4)**(-2/5)*(y**(2/9)/y)**(-1/5)*((y*y**2)/y)**(-10) assuming y is positive. y**(-6737/315) Simplify ((((x*x**(-1/4))/x)/x)**(-2/3)/(x*(x/x**7)/x)**(-17))**44 assuming x is positive. x**(-13354/3) Simplify (s**(-12)/(s/(s*s**(-11/5))*s)*s/(s**18*s)*s*s**15)**(-45) assuming s is positive. s**774 Simplify (((b/b**(-1))**(12/5)/(b**(-4/3)/(b**(-1/2)/b)))**(-5))**(8/3) assuming b is positive. b**(-556/9) Simplify ((l**(2/35)*l*l/(l**6*l*l))/((l**2*l)/(l**10/l)))**(1/29) assuming l is positive. l**(2/1015) Simplify ((r/r**(-7))/(r**(-1/11)*r))/(r**(-27)*r)**48 assuming r is positive. r**(13806/11) Simplify ((w**(-4/3)*w)/(w*w**(3/7)))**12*(w**(-1)/(w*(w*w**2/w*w*w*w)/w))**(-47) assuming w is positive. w**(1826/7) Simplify (y**(4/7)/(y/(y*y**(-2)/y)))**(-44)*((y**(1/2))**17)**(8/5) assuming y is positive. y**(4216/35) Simplify ((b/((b*b**(-11/3)/b*b)/b))/(b*b*(b*b**7*b)/b))/(b/(b*b/b**(10/7))*b*b**(-1/58)) assuming b is positive. b**(-8215/1218) Simplify x**6/(x**8*x)*x/(x*((x**8*x)/x*x)/x*x)*x/(x/x**(2/17))*(x/x**1)**(1/73)/((x*x*x*x**(1/3))/x)**(-22) assuming x is positive. x**(2012/51) Simplify (o/o**0)**(-3/5)/((o/o**1)/(o/(o*o/(((o*o**(-2)*o)/o)/o)*o)))*((o*(o**7/o)/o*o)/o*o*o*(o**(2/25)*o)/o)**(7/8) assuming o is positive. o**(247/100) Simplify ((p/(p**(-5)*p))/p**(-4))**14/(p/p**(-3)*p**(-6)/p*p**(-1/7)*p/(p**6/p)) assuming p is positive. p**(932/7) Simplify (i**(-2)/((i/i**6)/i))**6*((i/(i*(((i/(i*i**(1/4)))/i)/i)/i))/i)/(i*i/(i**(-2/17)*i))*(i*i*i**(2/5)*i*i*i)/(i/i**(-1)) assuming i is positive. i**(9701/340) Simplify (((((a**(1/4)/a)/a*a)/a*a)/a)**5*(a/(a*a**4*a))**34)**(-1/27) assuming a is positive. a**(715/108) Simplify ((p**(1/2)/p)**(-5/2))**(-1/13)/((p/p**(-2/21))/p*p*(p/(p**9*p))/p)**(-11/4) assuming p is positive. p**(-13423/546) Simplify ((o**(3/5)*o)/(o/o**(5/7))*(((((o/o**0)/o)/o)/o)/o)/(o/(o**4*o)*o))/(o**(-9)/(o/(o/(o**(-2/19)*o)*o)))**39 assuming o is positive. o**(231559/665) Simplify (u/((((u/(u/(u/((u**5/u)/u)*u)))/u)/u)/u)*u**2*u*u*(u**0)**(-42))/((u**2)**(-4/13))**(2/43) assuming u is positive. u**(5047/559) Simplify (l**1/(l**(1/6)/l*l*l))/(l*l**(-1/3))**(1/21)*(l*l**1)**(-8/11)/((l**(2/7)*l)/(l/l**2)) assuming l is positive. l**(-5459/1386) Simplify ((v**0/v*v)**(-3/10))**(10/7)*(v*v**(-2)*v*v)**(-12/5)/(v**1)**36 assuming v is positive. v**(-192/5) Simplify (j/j**(2/5))**(-10/11)*(j/(j/j**(1/4)))**47*j*j**(3/4)*j*j**(1/2)*j**(2/25)/(j/j**(-2/9)) assuming j is positive. j**(32948/2475) Simplify ((r**(2/5)*r/(r/(r/(r**(1/10)/r*r))))/((r*r/(r/(r*r/((r**(3/4)*r)/r))))/r*r*r**4))/((r*(r*r/r**(1/3)*r)/r)**11)**26 assuming r is positive. r**(-46057/60) Simplify o**(5/3)/(o*o/(o*o**(-2/5))*o)*o*o*o**(-4)*o*o/(o*o**(-2/3))*o/o**(2/11)*o*o*o*o**(-1)*(o**1)**(2/89) assuming o is positive. o**(26051/14685) Simplify (((b/(b/b**(1/6)))/(b*b**(-3/29)))/(b**(1/3))**18)**(-1/100) assuming b is positive. b**(1171/17400) Simplify (((c*c*c*c**(-2/27)*c)/c)/(c**(-5/9)*c)*(c/(c**(-3)/c))/(c*(c**(-8/3)*c)/c))**(-37) assuming c is positive. c**(-9139/27) Simplify ((y**(-1))**(1/5)*(y**(-2/7))**50)**(-21) assuming y is positive. y**(1521/5) Simplify ((w*w**3)/(w**8/w))/(w**8/(w/(w*w/(w/w**(1/12))*w*w)*w))*(w**(-11)*((w**(-5)/w*w*w)/w)/w)**5 assuming w is positive. w**(-1165/12) Simplify (k**(-1)*k**21)/(k**(-11)*k*k**(-2/5)) assuming k is positive. k**(152/5) Simplify (((z/(z/z**(-3/8)))/z)/(z/(z*z**(-1)))*(z**1)**(1/2))/((z**2/z)/(z/((z/z**(2/11))/z)))**(-24) assuming z is positive. z**(-549/88) Simplify (c/(c*c**5))/(c*c/(c**4*c)*c*c)*c**(-1/33)/(c**13*c) assuming c is positive. c**(-595/33) Simplify f**(1/3)*f/f**(-6)*(f**(-1/4))**(-45)*(f/(f/((f**1/f)/f*f)))**27*f**(-1/6)/f**(-3) assuming f is positive. f**(257/12) Simplify ((k**26/(k/k**12))/(k**18/k)**28)**(-5/2) assuming k is positive. k**(2195/2) Simplify (p*(p**(-1)/p)/p)**(-17)/(p/p**(-1))**10*((p/p**(-2))/p*p/(p/(p**(-2/3)*p)*p)*p)/(p**(-1/2)/(p*p/p**(-3/7))) assuming p is positive. p**(809/42) Simplify (s**(-4/5)*s/(s*s/(s*s/s**(-12)))*s**(1/6)*s*s/(s**12*s))**(-38) assuming s is positive. s**(-779/15) Simplify ((l*l**(2/5))**(-40)/(l*l**(-2)*l/((l/(l/l**(-1/8)))/l)))/((((l/(l**(-5)*l))/l)/l)/l**5*(l/l**(1/6))/(((l/(l**4*l*l))/l)/l)) assuming l is positive. l**(-1511/24) Simplify ((x**(-9))**(-37)/(x**3)**28)**8 assuming x is positive. x**1992 Simplify ((((t**(2/13)*t)/(t*t/((t/((t**(-4)/t)/t)*t*t)/t)))**(4/5))**(-3/40))**(7/3) assuming t is positive. t**(-651/650) Simplify (((g*g**(-1))**11/((g/(g/(g/(g**6/g))*g))/(g/(((g*g*g/(g*g**2*g)*g)/g)/g))))**(-42))**18 assuming g is positive. g**(-6048) Simplify z**(-1)/z**7*(z/(z**(-1/10)*z)*z)/z**(-3/5)*(z**(2/7)/z)**34*z**1*z/(z*z**(2/3)/z) assuming z is positive. z**(-6143/210) Simplify (t/t**(2/7))**48*(t/t**0*t)**(-32)*((t/t**(3/7))**(-26/5))**(-4/37) assuming t is positive. t**(-38064/1295) Simplify (((k*(k/(k/(((k**(1/3)/k)/k)/k*k)))/k)**(-3/10)*(k*k**(9/2))/(k/(k*k/(k**(-4)*k))*k))**(8/5))**(3/5) assuming k is positive. k**(216/25) Simplify (((g**(2/7))**17/(g/(((g**(-1/3)*g)/g)/g))**(-2/7))**(-26))**(1/44) assuming g is positive. g**(-754/231) Simplify ((j*(j**(-4)/j*j)/j*j)/j**(-7))**(-27)*(j**3*j**1)/(j/(j*(j**(1/5)/j)/j)*j*j**(-2/5)) assuming j is positive. j**(-532/5) Simplify (((c/c**(-17))/(c**(-3/8)/c))/(c**(-5/2))**(-30))**(-30) assuming c is positive. c**(6675/4) Simplify ((((b*b/(b/(b/b**(-5))))/b)/b)/((b/(b/b**4*b))/b)*(b**(5/2)*b)/(b**26/b))**(-3) assuming b is positive. b**(111/2) Simplify (m**(-3/2)*((((m**(-6)/m)/m)/m)/m)/m*(m*m**(-2/7))**(1/5))/((m**3*m**2)/(m/m**(-1))**(-15)) assuming m is positive. m**
{ "pile_set_name": "DM Mathematics" }
= -s for o. 1 Solve 0 = -3*p + b - 19, p + 3*b - 2*b = -1 for p. -5 Solve 22 = 4*s - 2*k, -s + 9 = -2*k - 4 for s. 3 Solve y + 4 = 0, 10*p - 5*p + 2*y - 2 = 0 for p. 2 Solve -5*d - 13 = 2*v - 33, -2*v + 12 = d for d. 2 Solve 8 = -d + 3*k, 102*d - 2*k = 100*d for d. 4 Solve g = 4, 4*x = -4*g + 9*g - 12 for x. 2 Solve 4*c = 6*d - 9*d - 12, 0 = -2*d + c + 3 for d. 0 Solve 4*n - 57 + 61 = 5*g, 0 = 2*g - 2*n - 2 for g. 0 Solve 0 = 5*b - 14*x + 11*x - 19, -5*x = 4*b + 7 for b. 2 Solve 21 = 2*i + 3*w, -8*i - 24 = -11*i - 3*w for i. 3 Solve -3*c + 2 + 12 = 2*z, -4*c = -8 for z. 4 Solve 2*c = 4*w - c - 4, -5*w - 5*c = -5 for w. 1 Solve 29*x = -l + 26*x + 3, 2*l + 10 = 2*x for l. -3 Solve -4*f = 25*c - 26*c + 19, -6 = 2*c + 3*f for c. 3 Solve -3*k - 12 = 0, -14 = -j - 2*j + 5*k for j. -2 Solve 0 = 5*u - 2*n - 13, -5*n - 35 = -15 for u. 1 Solve 6*z - 3*b + 12 = 3*z, 5*z = 3*b - 12 for z. 0 Solve -4*b - 17 + 0 = -5*i, 2*i = 5*b + 17 for b. -3 Solve -10*r - 3*z = -9*r - 5, 5*r - z - 9 = 0 for r. 2 Solve -3*u = 3*d - 12, 60*d - 9 = 64*d - u for d. -1 Solve 0 = -z - 4, 7*a - 4*z - 16 = 11*a for a. 0 Solve -40*l + 4*w + 4 = -42*l, 3*l = 5*w + 27 for l. 4 Solve -2*l + 3 = -m - 6, -5*l - 5*m + 30 = 0 for l. 5 Solve -4*w + 11 = 23*r - 22*r, 2*w - 16 = -4*r for w. 2 Solve 4*s = 3*y + 19, -5*s + 9 = -2*y - 13 for s. 4 Solve 4 = -5*i - 4*z, 4*z - 14 + 10 = -3*i for i. -4 Solve -5*w + 20 = -m, 3*m - 7*m - 4 = -w for m. 0 Solve 4*v = 4*j - 12, -10*j + 11*j - 15 = -5*v for v. 2 Solve 0 = -5*f + 25, 2*l + l + f = -1 for l. -2 Solve -3*o - 2*q = o - 6, -2*o + q = -5 for o. 2 Solve -61*f + 60*f + 6 = m, -5*m + 27 = 4*f for f. 3 Solve -3*w = -4*d + 6, -w + 4*d = -6*w + 22 for w. 2 Solve 5*j - 3*d + 16 = 0, 13*j - 2*d - 6 = 18*j for j. -2 Solve -4*l - 5*q - 70 + 29 = 0, 4*l + 2*q = -26 for l. -4 Solve -2*p + 6 = -5*v - 0*p, -4*p = 2*v - 12 for v. 0 Solve 4*s + 20 = 2*x, -s + x - 6*x = 5 for s. -5 Solve 26*k - 29*k - 31 = -5*h, k = 2*h - 12 for h. 5 Solve -5*f + 3*k - 37 = -7, -k - 24 = 4*f for f. -6 Solve 5*f + 12 = -2*x, 10*x - 6*x = -2*f + 8 for f. -4 Solve -2*i - 3*r = 18, -i + 7*r - 12*r = 23 for i. -3 Solve -3*w - 6 = 0, -2*j - 5*w = -200 + 208 for j. 1 Solve 72*g - i - 4 = 70*g, 0 = 3*i + 12 for g. 0 Solve 2*q = 2*i + 18, 0 = 2*i + 8*q - 4*q - 6 for i. -5 Solve -6 = -2*z, -z - 4 = -b - 2*z for b. 1 Solve -a = 2*y, -2*y - y = 0 for a. 0 Solve 2*w = -4*l + 4, -l = 19*w - 15*w - 1 for l. 1 Solve 0 = -2*a - f - 6 + 14, 0 = -2*f + 4 for a. 3 Solve 3*l + 2*y = 6*y + 5, 3*l + 10 = y for l. -5 Solve y = -v, -5*v + 10*v + y - 8 = 0 for v. 2 Solve 0 = 2*w + 4*q - 16, -15 = -4*w - 2*q - 13 for w. -2 Solve -4*h - 8 = 4*v, 3*v - 8*h - 34 = -3*h for v. 3 Solve 3*y + 4*a + 18 = 0, 5*a - 17 = y + 10*a for y. -2 Solve 0*b + 2*b + 28 = 5*n, 2*b - 26 = -4*n for b. 1 Solve 3*h = -2*r + 7, 5*r + 14 - 38 = -h for h. -1 Solve -14*f = 2*h - 18*f + 16, 5*h + 2*f = -4 for h. -2 Solve 3*l + 3*d = 12, 2*l - d - 2 = 6 for l. 4 Solve 0 = 3*h + 4*f + 9, -4*h = 5*f + 17 - 5 for h. -3 Solve 13 = -5*x + 5*w - 3*w, -x - 21 = -5*w for x. -1 Solve r + 2*c - 15 = -2*r, c = 5*r - 12 for r. 3 Solve 0 = 4*f + 5*m + 40, -2*m + 0 + 12 = -4*f for f. -5 Solve -3*m - 5*o - 15 = 0, 4*m + 5*o = 7*o - 20 for m. -5 Solve 0*x = -5*x - p - 23, -x - 1 = -p for x. -4 Solve -4*n = 3*i - 4, -3*n + i + 8 = -8 for n. 4 Solve 4 - 14 = 5*o, 9*l - 5*o = 19 for l. 1 Solve 4*b - 12 = 2*u, 163*b - 5*u = 165*b - 18 for b. 4 Solve -16*p + 5 = 5*y - 20*p, 3*y + 5*p = 3 for y. 1 Solve 3*t + 26*x + 4 = 21*x, 5*x - 17 = 4*t for t. -3 Solve -k = -3*j + 1, 4*j = 31*k - 35*k - 20 for j. -1 Solve -12*j = c - 14*j - 9, -3*j - 24 = -5*c for c. 3 Solve 3*a + 2 = c, 3*c + a = 8*c - 10 for c. 2 Solve -4*f - 5*p + 27 = 0, -32*f + 27*f + 27 = 4*p for f. 3 Solve 5*x - 4 = -4*m, -4*m = -0*x - 5*x + 36 for m. -4 Solve -v + 3 = 0, v = 5*f + 18 - 0 for f. -3 Solve -c - 10 + 6 = -2*l, -c - 5 = -3*l for c. -2 Solve -3 = 2*l - 4*t + 5, -4*l + 2*t + 8 = 0 for l. 4 Solve 53*i - 57*i - t + 16 = 0, -4*i + 28 = -2*t for i. 5 Solve 4*s - 7 = z, 2*s + 14 = -3*z + 35 for s. 3 Solve -2*p = -5*i - 9, 0 = 244*p - 246*p - i - 9 for p. -3 Solve -2*c + c = -5*r - 1, -5*c = 5*r - 5 for r. 0 Solve -4*n = -9*n - 3*f + 21, -3*n + 7 = -f for n. 3 Solve -3*j - 20 = -4*a, 4 = 10*a - 6*a + j for a. 2 Solve -5*w + 3 = 5*k + 18, 5 = -5*k - 3*w for k. 2 Solve 0*a - 4*t + 1 = 3*a, 0 = -2*a + 4*t - 6 for a. -1 Solve 0 = -3*m - 0*m - 3, 5*m = p for p. -5 Solve 4*v = 3*v - 2*l + 3, -7 = v - 3*l for v. -1 Solve 4*s - 50*r + 16 = -46*r, 0 = -2*r + 8 for s. 0 Solve -2*z - 31 = 4*u - 1, -5*z - 3*u = 40 for z. -5 Solve -a = 2*a + y + 9, 0 = 2*a + y + 6 for a. -3 Solve 2*a = -2*a - k - 16, -5*a - 3*k - 20 = 0 for a. -4 Solve 5*k + 130*t - 134*t + 8 = 0, 3*k + 5*t = 10 for k. 0 Solve 5*d + 51 = 4*k + 35, -k - 4*d = 17 for k. -1 Solve 4*x = -3*n + 27, -4*x - 5*n = -2 - 35 for x. 3 Solve -3*b - d - 13 = 0, 4*d = -2*b - 0*b - 22 for b. -3 Solve -5*b - 1 + 23 = 2*d, 15 = -5*d + 5*b for d. 1 Solve 3*z + 18 = -3*u, -40*z + 35*z = 4*u + 25 for u. -5 Solve -4*m + 0*m = -5*f - 18, 3*f - 4 = -5*m for f. -2 Solve -q = 2*n + 4, 10*q + 4*n = 12*q - 24 for q. 4 Solve 3*k - 8*k + 3*y = 7, 2*y - 5 = 3*k for k. 1 Solve 12*n + 21 = 3*h + 7*n, n = 4*h - 11 for h. 2 Solve -2*w = -p + 11, 5*w - 4*p + 7*p = -22 for w. -5 Solve 2*k + 4*q = -q + 9, 2 = 2*q for k. 2 Solve -15 = 3*l + 2*o, 2*o - 2 = -8 for l. -3 Solve 5*v - 2*v = 4*p - 17, -4*v = 2*p + 8 for p. 2 Solve 48 - 12 = 4*t - 5*p, -2*t = 2*p for t. 4 Solve -n - f + 4 = 0, 5*f - 6 - 19 = 0 for n. -1 Solve 0 = 4*x, 4*b + 4*x + 7 = 15 for b. 2 Solve -5*g + 12 = -18*o + 21*o, 3*g - 7 = -2*o for o. -1 Solve -j - 3*f + 7*f = 12, f = -3*j + 3 for j. 0 Solve 0 = -5*p - 3*f + 16, -p + 10 = -7*f + 11*f for p. 2 Solve -14*m + 12*m = -8, 0 = 3*w + 2*m - 2 for w. -2 Solve -9 = n - 3*z, -2*n = n + 3*z - 9 for n. 0 Solve b = 4*z + 17, 3*b = -10*z + 11*z + 7 for b. 1 Solve -f = 5*z - 2, 0*f = -2*z + f + 5 for z. 1 Solve 7*l = w + 9*l + 7, -7 = -3*w + l for w. 1 Solve 0*s = 5*f - 3*s - 9, 0 = -2*f - 4*s + 14 for f. 3 Solve 2*i + 1 = -i + 4*q, -2*q = 4*i - 28 for i. 5 Solve 2*t = -3*t + 5*f + 35, 0 = -f - 7 for t. 0 Solve 3*z - 5*o - 3 = -4*o, 3*z = 4*o + 3 for z. 1 Solve 3*k - 1 = 2*k, -q + 2*k + 2 = 0 for q. 4 Solve 5*o - 28 = z, -z + 21*o = 23*o - 7 for z. -3 Solve j - 3*o + 7 = 0, 0 = j + 141*o - 139*o - 8 for j. 2 Solve 0 = 5*v + 4*b - 10, 6*b - 25 = b for v. -2 Solve 0 = -4*o + 2*a - 14, -2*o - 4*a = -17 - 1 for o. -1 Solve -70 - 5 = 14*k + r, r - 5 = 2*k for k. -5 Solve -t + 15*u - 20*u - 25 = 0, t + 10 = -2*u for t. 0 Solve -2*t - 31 = 2*a + 3*a, 18 = -t - 3*a for t. -3 Solve 5*h + 0 = 5*c - 15, h + 3 = -3*c for c. 0 Solve 3*f - 8 = 5*q + 9, 4*q = -f - 17 for f. -1 Solve 7*i - 2 = 4*o + 2*i, 3*o + 5*i + 19 = 0 for o. -3 Solve l - 2*l - 3*b - 2 = 0, 5*l + 3*b + 22 = 0 for l. -5 Solve -5*h - 7 = -2*t, 0 = -2*h - 0*h - 2*t for h. -1 Solve 2*r + 4*p - 16 = 0, 13 = -5*r + 3*p - 12 for r. -2 Solve -3*f - n - 1 = 18, 3*f = -2*n - 23 for f. -5 Solve 5 + 4 = -4*j + 3*h, 3*j - 5*h + 15 = 0 for j. 0 Solve 12*t - 9*t = -5*o + 5, -7 = -3*o - t for o. 4 Solve -2*m - m - 10 = -5*p, 3*p = -2*m - 13 for m. -5 Solve 0*z + z = -5*d + 13, -3*z - 21 = -5*d for d. 3 Solve 5*v = -0*v - 5*w + 35, w = v + 3 for v. 2 Solve -3*h + 3 = 0, 3*x + 7*h - 1 = 3*h for x. -1 Solve -2*c - 2 = 0, -5*c + 10*c = 5*l + 10 for l. -3 Solve -5*c = 2*z + 19, 5*z - 139 = -4*c - 161 for z. -2 Solve 5*d - 2*z = 0, -45 = -d + 4*z - 63 for d. 2 Solve -5*v + 2*q = -8, -4 = 4*v + 3*q + 8 for v. 0 Solve -2*q + 8 = 5*b, 10*q + 5*b + 4 = 11*q for q. 4 Solve -4*w + 5*b + 24 = 0, 5*w + 5*b + 7 = 2*b for w. 1 Solve -2*f = -o - 1, -f = -o + 2*o + 7 for o. -5 Solve -2*o + 3 = w, -w = 5*o - 14 + 5 for o. 2 Solve 2*p - 7*p + 25 = 3*h, 3*h + 2*p - 19 = 0 for h. 5 Solve -2*i - 8 = 0, -t + 42 = 2*i + 49 for t. 1 Solve 3*c - 6*c = -4*o + 19, 4*o - 11 = -5*c for c. -1 Solve 3*p - 15 = 0, -r = -0*r - 5*p + 28 for r. -3 Solve -y = -5*g + 12, 2*y = 5*g - 8 - 6 for y. -2 Solve 3*l - 5 = 2*k + 8*l, -12 = 4*l for k. 5 Solve 0 = -4*o - 2*i - 22, -5*i - 12 + 7 = 0 for o. -5 Solve -26*y - k = -21*y + 15, 0 = -k for y. -3 Solve -3*h + 4 = -g, -2*h - 1 = -46*g + 49*g for g. -1 Solve 3*p + w + 16 = 5*w, 5*p = -4*w + 16 for p. 0 Solve 35
{ "pile_set_name": "DM Mathematics" }
or x? x Let y be ((-24)/(-42))/(2/1). Let s = -145 - -139. Which is bigger: y or s? y Let k = -728/3641 + 6/331. Which is greater: 0.46 or k? 0.46 Let y be (-16)/10*105/(-2). Let u = 165/2 - y. Which is greater: -1 or u? -1 Let k = -2 - -1.9. Let x = 0.1854 - 7.1854. Is x bigger than k? False Let i = 289 + -288.95. Is -9 less than i? True Let v = -2 - -1.7. Let y(q) = -2*q - 35. Let o be y(-17). Let m be (o/(-2))/((-12)/(-8) + -1). Which is greater: v or m? m Let q = -0.5 + -0.5. Let c = -16 - -20. Let d be 288/(-567) + c/18. Which is smaller: d or q? q Suppose 3*r = -3 - 0. Let l = 9.1 - -0.86. Let v = l - 9.9. Which is bigger: r or v? v Suppose 6*b = 3*b + 12. Suppose b*j - j - 21 = 0. Let v(r) = r**2 - 8*r + 14. Let g be v(j). Which is bigger: 8 or g? 8 Let a = 56.7 - 56. Let r = a - 2.7. Does r = -2? True Let g = 280.2 + -156.2. Is 9 >= g? False Let d = 35 - 5. Let a be 2/5*(-25)/d. Is a at least -2/3? True Let o = -25.84 + 5.04. Which is bigger: o or 1? 1 Let b = 179 + -169. Let t = 3 - 4. Let v(m) = -11*m - 1. Let x be v(t). Is b less than x? False Let n be 1 + (-34)/16 + 0. Let m be (3*(-2)/6)/1. Which is smaller: n or m? n Let w = 56 + -34. Let p = -23 + w. Is p < -3/26? True Let r(u) = u**2 - 1. Let c(p) = -3*p**2 + 7*p + 9. Let f(d) = c(d) + 2*r(d). Let y be f(0). Is y greater than 1? True Let z = 233 - 239. Which is greater: z or -1? -1 Let o(g) = 2*g**3 + 0*g**3 - 3*g**3 + 42 - 38 + 11*g**2. Let f be o(11). Is 4 < f? False Let h = 0 - 0.01. Suppose 2*o = -2*b - 2*o - 10, 10 = -2*o. Suppose 0 = -b*v + 1 + 4. Which is bigger: h or v? v Let j = 37 + -1. Suppose -3*w + 37 = -5*n, -4*n - j = 2*w - 6*w. Is 5 at least w? True Let s be (-8352)/54 + (-10)/3. Which is greater: s or -159? s Let x = 0.74 + 36.26. Let c = x - 37.05. Which is smaller: c or 2/17? c Let v = -16227023166/135965 - 24699789/383. Let d = v + 183837. Let r = d + -2/71. Which is greater: r or 0? 0 Let a(c) = c**3 - 2*c**2 - c - 4. Let g be (-3)/(-15) + (-28)/(-10). Let d be a(g). Let h = 11 + -7. Which is smaller: h or d? d Let k(s) = 8*s - 1. Let x = 1 + 4. Let d be k(x). Let l = d - 49. Which is smaller: -11 or l? -11 Let f = 203/3 + -66. Which is greater: f or 3? 3 Let q = 228 + -224.77. Let t = -0.23 + q. Is t at least as big as -1? True Let b = 9.5 - 9.5. Which is greater: b or -6.1? b Suppose 11*u = -3*u + 14. Is 2/97 < u? True Let f = -1120 - -1177. Which is bigger: f or 41? f Let y(f) = -6*f - 3. Let b be y(-11). Is 442/7 < b? False Let f(m) = -4*m - 35. Suppose 2*o - 19 = 3*n, 0 = 2*n - 6*n - 2*o - 44. Let r be f(n). Let g be (0/(-1) + -1)/(-1). Are g and r non-equal? False Let a be ((-4)/11)/(2/(-9)). Suppose 0 = 6*b - 4*b - 10. Suppose -7*p + 26 = b. Which is bigger: a or p? p Let t = 4.95 - -0.05. Let o = -3.951 + -0.049. Let b = t + o. Which is greater: -0.01 or b? b Let u = -197/7 - -28. Let y(h) = h - 7. Let x(f) = f - 6. Let i(o) = -7*x(o) + 6*y(o). Let z be i(-1). Are u and z non-equal? True Let n(f) = 2*f**2 + f + 18. Let b be n(0). Let y be 35/b + (-4)/2. Is 0 != y? True Suppose -4*x + 3*f = x - 33, 40 = 4*x + f. Are x and 9 non-equal? False Suppose v + 9 = -2*v, 4*v + 17 = -5*s. Suppose 22*o - 21*o = -69. Let c = o - -69. Is s greater than c? False Let n = 11/12 + -91/60. Do n and 0 have the same value? False Suppose -179 = 8*a - 531. Let p be (3 + (-7)/2)*a. Are p and -22 non-equal? False Suppose 0*n + 3*n = -4*y - 1, 0 = 4*n + y + 10. Let j(g) = g + 3. Let f be j(6). Let u be 1/(-1)*f/3. Are u and n unequal? False Let b(m) = 7*m + 21. Let r be b(-16). Let j be 26/r + 872/2954. Is j less than or equal to 0? False Let u be (-4)/(-32) - (-37)/(-40). Which is smaller: 41 or u? u Let m = 25 + -25.48. Let x = m - -6.48. Which is smaller: x or 1? 1 Suppose s - 5*g = 62, 3*g - g = -2*s + 124. Suppose -74*p - 1401 + 4036 = -1953. Is s at least as big as p? True Let n = -5.2 + 3.2. Let w = -1.3 - -1.36. Let a = w + 0.02. Which is smaller: a or n? n Let h = 1303077/2015 - -45/403. Let a = -639 + h. Is -1 < a? True Let f = 47.4 + -48. Let t = f + 0.7. Which is bigger: t or 30? 30 Let i = -4553/2156595 + -1/2679. Which is smaller: 0 or i? i Let x(u) = u**2 + 11*u - 4. Let m be x(-10). Let f(b) = -b**3 - 14*b**2 + b + 11. Let r be f(m). Which is bigger: r or -21/8? -21/8 Suppose -4*w + 390 = w. Let a = -309/4 + w. Let b(r) = r**2 + 16*r - 16. Let d be b(-17). Which is greater: a or d? d Let g(i) = -2*i**3 - 2*i**2 - 2*i - 1. Let p be g(-1). Suppose -y + p = -2. Let a be (y/10)/((-42)/56). Is 0 < a? False Let j = 263 + -199. Which is greater: j or 0? j Let n(g) = g**2 - 16*g + 18. Let s be 155/10 + (-3)/6. Let z be n(s). Let c = -36/119 - -10/17. Is c at most as big as z? True Let g = -42 + 37. Let z = 18 + g. Which is greater: z or -2/7? z Suppose -3*z = -3*t + 7*t + 128, 4*t - 64 = z. Is z <= -48? True Let w be ((-1)/((-35)/(-28)))/(4/(-10)). Let m = -0.01 + 0.11. Let r = 1.9 + m. Is w smaller than r? False Let v = -64 + 27. Let g = v - -35. Let q = -2 + 2.3. Which is greater: g or q? q Let w = 1471 - 1394. Do 62 and w have different values? True Let j = -3.85 + 3.846. Which is smaller: -0.2 or j? -0.2 Let c = 11.6 - 4.6. Let i = 10 - 10. Is i > c? False Suppose 276 = -3*m + 5*m + 3*k, -2*k = 3*m - 419. Let c be ((-1070)/(-45))/(1/6). Let q = c - m. Which is smaller: q or 3? q Suppose 3*x - 22 = -11*p + 7*p, -5*p = 10. Which is smaller: 11 or x? x Let d = 3226/11 + -293. Let n be (-2)/(-3)*(-7 - (-77)/14). Is n <= d? True Let j be ((-3)/18)/((-2)/4). Suppose -3*s = -2*r + s + 4, 0 = 4*r - 3*s + 2. Let w be (0/r)/(-21 - -16). Do w and j have the same value? False Let m be 223819/265 - 3/5. Do 845 and m have the same value? False Suppose -23*q - 42*q - 8840 = 0. Which is greater: -135 or q? -135 Let v = 194/17 - 192/17. Suppose -q - 3 = -3*x, 0 = -2*q + q - 3. Suppose k = -x*k. Which is bigger: k or v? v Let o be ((-1140)/160)/((-310)/8). Let q = 2/2965 - 3089/183830. Let u = o - q. Is 0.3 at least u? True Let r be (1 + 4)/((-1)/(-7)). Suppose l = -11 + r. Suppose 0*a - l = -3*a. Is 7 greater than or equal to a? False Let o(r) = r**3 + 60*r**2 + 3*r + 61. Let x be o(-60). Is x not equal to -119? False Let n = -138 + 233. Suppose -2*i - h - 4 - 27 = 0, -5*i - n = -h. Which is smaller: -16 or i? i Suppose -2*n - 1 - 7 = 0, h = -n - 8. Let l be (((-90)/(-12))/5)/(345/h). Is l < 0? True Suppose -4*g = 5*c - 39, -23*g - 12 = -25*g - 4*c. Which is greater: g or 19? 19 Suppose -5*d - f - 2*f + 57 = 0, 5*d = 5*f + 65. Let q(c) = -c**3 + 12*c**2 + c - 17. Let t be q(d). Let z be (-2)/t - (-22)/20. Are 3 and z nonequal? True Let a be ((-22)/77)/(2/(-14)). Let m be ((12/9)/a)/(-1). Which is smaller: 8 or m? m Suppose 4*d - 4*d = 4*d. Which is greater: 290 or d? 290 Let b(o) be the second derivative of -o**3/3 + 7*o**2/2 + 3*o + 13. Let h be b(16). Let g = 36 + -61. Is h at least as big as g? True Let d(w) = -w**3 - 86. Let b be d(0). Let l be b/(-82) - (2 - 1). Is 1 <= l? False Suppose -3*b - 16 = -1. Let y be 2/b + 6/15. Let r = -2/489 + 273/326. Is y bigger than r? False Let z = 172 - 208. Suppose 15*r = 16*r + 1. Which is smaller: z or r? z Let j = 33 - 20. Let v = 10 - j. Is v less than -0.1? True Let j(i) = -31*i**3 + i**2 + i. Let f be j(-1). Let c = 29 - f. Which is bigger: -2/3 or c? -2/3 Let r be 2/3 + (-9)/(-18). Let p = r - 3/2. Is 52 less than or equal to p? False Suppose 0 = 5*d + 11 - 1. Let h be (-3)/d*8/22. Suppose -20 = -5*u - 0*y - 5*y, 2*u + 4*y - 14 = 0. Which is smaller: h or u? h Let d be (16/24)/((-2)/3). Let n = 23805/44 - 541. Which is greater: d or n? n Let l be -3 + 3/(24/20). Let a(q) = q**2 + 5*q - 8. Let s be a(3). Is l smaller than s? True Let a(p) = p**3 + 4*p**2 + 3*p + 8. Suppose 4*j + b = -11, 2*j - 4 - 8 = -4*b. Let c be a(j). Let t be (-3)/54*1*c. Which is greater: -0.2 or t? t Let p = -3 - -3.16. Let r = 0.04 + p. Which is smaller: 2 or r? r Let i = -175 + 663. Which is greater: i or 489? 489 Let f = -1 + 1.02. Let c = -48035/49756 - -2/1777. Let j = -5/4 - c. Which is smaller: f or j? j Let o be 3/1 + 104823/(-304). Let a = -342 - o. Which is smaller: a or 1? a Let p(t) = 26*t**2 - 26*t - 46. Let o be p(-2). Is o <= 111? True Let w = -3 - -12. Let k(z) = z**2 - 10*z + 9. Let g be k(w). Let f = 1 - g. Which is bigger: f or -5/12? f
{ "pile_set_name": "DM Mathematics" }
t common factor of 1300 and 3100. 100 What is the highest common divisor of 294 and 336? 42 What is the greatest common factor of 2688 and 140? 28 Calculate the greatest common factor of 99 and 66. 33 Calculate the highest common divisor of 477 and 486. 9 What is the greatest common divisor of 123 and 410? 41 Calculate the highest common divisor of 8334 and 18. 18 What is the greatest common factor of 10 and 55? 5 Calculate the greatest common factor of 375 and 45. 15 Calculate the greatest common divisor of 90 and 510. 30 Calculate the highest common divisor of 296 and 8. 8 Calculate the greatest common divisor of 988 and 2756. 52 Calculate the highest common divisor of 110 and 22. 22 What is the greatest common factor of 38 and 475? 19 Calculate the highest common factor of 2960 and 100. 20 What is the greatest common divisor of 558 and 62? 62 Calculate the greatest common factor of 3219 and 222. 111 Calculate the greatest common factor of 32340 and 165. 165 Calculate the greatest common divisor of 42 and 105. 21 Calculate the highest common factor of 10 and 104. 2 What is the greatest common divisor of 456 and 32? 8 What is the greatest common factor of 825 and 30? 15 Calculate the highest common divisor of 4784 and 460. 92 What is the greatest common divisor of 9185 and 55? 55 Calculate the greatest common divisor of 180 and 36. 36 Calculate the greatest common divisor of 5 and 95. 5 Calculate the highest common factor of 10 and 575. 5 What is the greatest common divisor of 28 and 686? 14 Calculate the greatest common divisor of 138 and 1679. 23 What is the highest common factor of 91 and 52? 13 Calculate the highest common factor of 110 and 297. 11 What is the greatest common factor of 37 and 851? 37 What is the highest common factor of 399 and 1372? 7 What is the highest common factor of 57 and 9? 3 Calculate the highest common divisor of 576 and 1116. 36 What is the greatest common divisor of 18 and 342? 18 Calculate the highest common divisor of 14381 and 197. 197 Calculate the highest common divisor of 102 and 102. 102 What is the highest common factor of 138 and 46? 46 What is the greatest common divisor of 2941 and 34? 17 Calculate the highest common divisor of 108 and 74952. 108 What is the greatest common factor of 22 and 154? 22 What is the highest common factor of 2174 and 4? 2 Calculate the highest common divisor of 180 and 576. 36 Calculate the greatest common factor of 48 and 432. 48 What is the greatest common divisor of 169 and 104? 13 What is the greatest common factor of 2422 and 98? 14 What is the greatest common factor of 2519 and 3435? 229 What is the highest common factor of 21 and 3920? 7 What is the highest common factor of 63 and 9? 9 Calculate the greatest common divisor of 116 and 5684. 116 Calculate the greatest common divisor of 3818 and 332. 166 What is the greatest common divisor of 41 and 1927? 41 Calculate the highest common factor of 38 and 1539. 19 Calculate the highest common divisor of 286 and 338. 26 Calculate the greatest common factor of 24 and 11028. 12 What is the greatest common factor of 225 and 45? 45 What is the greatest common divisor of 26 and 1742? 26 Calculate the greatest common factor of 126 and 105. 21 Calculate the greatest common factor of 99 and 576. 9 What is the highest common divisor of 702 and 13? 13 Calculate the greatest common factor of 22 and 8371. 11 Calculate the highest common factor of 52 and 1534. 26 Calculate the greatest common factor of 3075 and 1107. 123 Calculate the greatest common divisor of 126 and 3150. 126 What is the greatest common divisor of 1010 and 10? 10 Calculate the highest common factor of 1015 and 2730. 35 Calculate the greatest common factor of 639 and 36. 9 Calculate the greatest common factor of 95 and 3173. 19 What is the highest common factor of 5547 and 2193? 129 What is the greatest common divisor of 215 and 41065? 215 What is the greatest common divisor of 4 and 29? 1 Calculate the greatest common factor of 19 and 323. 19 What is the greatest common factor of 99 and 4851? 99 Calculate the greatest common divisor of 2 and 94. 2 Calculate the greatest common factor of 36 and 342. 18 What is the greatest common factor of 48 and 16464? 48 What is the greatest common factor of 111 and 259? 37 Calculate the highest common factor of 603 and 81. 9 What is the highest common divisor of 392 and 64? 8 What is the greatest common divisor of 34 and 1377? 17 What is the greatest common factor of 581 and 7? 7 What is the greatest common divisor of 9982 and 92? 46 What is the highest common factor of 108 and 3654? 18 What is the greatest common divisor of 26 and 442? 26 Calculate the highest common factor of 60 and 132. 12 What is the highest common factor of 399 and 152? 19 Calculate the highest common divisor of 297 and 12. 3 What is the highest common divisor of 26005 and 35? 35 Calculate the greatest common divisor of 48 and 376. 8 What is the greatest common factor of 310 and 5828? 62 What is the highest common factor of 117 and 3354? 39 What is the highest common divisor of 40 and 180? 20 Calculate the highest common factor of 45 and 855. 45 Calculate the greatest common factor of 102 and 782. 34 What is the greatest common divisor of 9 and 24? 3 Calculate the highest common divisor of 225 and 150. 75 Calculate the highest common factor of 25 and 295. 5 What is the greatest common factor of 23 and 14? 1 What is the greatest common factor of 12 and 16? 4 Calculate the greatest common divisor of 33 and 66. 33 Calculate the greatest common factor of 79 and 869. 79 What is the highest common divisor of 13 and 1157? 13 Calculate the greatest common factor of 882 and 21. 21 What is the highest common factor of 3186 and 81? 27 What is the greatest common factor of 144 and 32? 16 Calculate the highest common factor of 2 and 80. 2 What is the highest common divisor of 52 and 247? 13 Calculate the highest common factor of 1507 and 11. 11 What is the greatest common divisor of 57 and 456? 57 What is the greatest common divisor of 24 and 6396? 12 What is the highest common divisor of 198 and 18? 18 Calculate the greatest common factor of 2409 and 44. 11 What is the highest common divisor of 66 and 143? 11 What is the highest common factor of 2146 and 58? 58 Calculate the greatest common divisor of 55 and 880. 55 Calculate the greatest common divisor of 16 and 964. 4 Calculate the greatest common factor of 171 and 12141. 171 What is the highest common divisor of 1577 and 38? 19 Calculate the highest common divisor of 4668 and 12. 12 What is the highest common factor of 22 and 38555? 11 Calculate the highest common factor of 135 and 2160. 135 Calculate the highest common divisor of 837 and 31. 31 What is the greatest common divisor of 56 and 49? 7 Calculate the highest common factor of 200 and 3160. 40 Calculate the greatest common factor of 7 and 721. 7 What is the highest common factor of 4 and 12? 4 What is the greatest common factor of 365 and 1095? 365 Calculate the highest common divisor of 140 and 160. 20 What is the greatest common divisor of 212 and 477? 53 What is the highest common divisor of 2 and 578? 2 What is the greatest common divisor of 165 and 220? 55 Calculate the highest common divisor of 9800 and 168. 56 Calculate the greatest common factor of 98 and 126. 14 What is the greatest common factor of 2208 and 96? 96 Calculate the greatest common factor of 1376 and 2236. 172 What is the greatest common divisor of 7310 and 170? 170 Calculate the highest common factor of 23 and 3013. 23 What is the greatest common divisor of 1664 and 26? 26 What is the highest common factor of 560 and 440? 40 Calculate the greatest common factor of 13 and 299. 13 What is the highest common factor of 98 and 56? 14 What is the highest common factor of 924 and 231? 231 What is the highest common factor of 6080 and 8? 8 What is the greatest common divisor of 3475 and 25? 25 Calculate the highest common factor of 774 and 18. 18 What is the highest common divisor of 51 and 918? 51 What is the highest common divisor of 480 and 30? 30 Calculate the greatest common divisor of 13073 and 68. 17 What is the greatest common divisor of 507 and 26? 13 What is the greatest common f
{ "pile_set_name": "DM Mathematics" }
- 14. Calculate the highest common factor of 4 and j. 4 Let c = -44 - -30. Let v be 610/35 - 8/c. Calculate the greatest common divisor of v and 108. 18 Let z = -924 - -958. Calculate the greatest common factor of z and 2108. 34 Suppose 82*s - 77*s - 575 = 0. Suppose -f - 95 = n - 2*n, -s = -n + 5*f. What is the greatest common divisor of 18 and n? 18 Suppose x - 3*x = 10, 2*x - 20 = -3*h. What is the greatest common divisor of 320 and h? 10 Let q(v) = 6*v - 2. Let x be q(3). Let y(j) = 20*j - 12. Suppose 2 = n, b - 2*n + 3*n - 9 = 0. Let c be y(b). What is the greatest common divisor of x and c? 16 Suppose p + 0*p = 10. Suppose -4*r - 20 = -4*i, -2*i - 9 = -3*i + 2*r. Let a = i + 4. Calculate the highest common divisor of p and a. 5 Let u(r) = -r**2 - 2*r + 15. Let a be u(-5). Suppose 2*j - 2*m - 26 = 0, -4*j + 2*m = -a*j - 54. Calculate the highest common factor of j and 21. 7 Let x be 11 + 0 + (-35)/5. Let v(q) = q. Let g be v(1). Calculate the highest common divisor of g and x. 1 Let b(z) = 22*z - 240. Let l be b(11). What is the highest common divisor of 98 and l? 2 Let v(g) = -46*g - 26. Let k be v(-3). What is the highest common divisor of k and 14? 14 Let n be (2 + 77/(-22))/(2/(-228)). What is the greatest common divisor of n and 18? 9 Suppose 2*k + 1643 = 33*k. Calculate the greatest common factor of k and 848. 53 Let y be (2*-2)/(2/(-4)). Suppose 0 = -30*a + 1595 + 85. Calculate the greatest common divisor of y and a. 8 Let o(h) = 17*h - 23. Let z be o(5). Let k be 4/(-12)*(2 - z). Calculate the greatest common divisor of k and 140. 20 Let a(h) = -2*h**3 + 20*h**2 - 14*h + 18. Let j be a(9). Calculate the greatest common divisor of 6 and j. 6 Let l = -444 + 449. Let n(o) = o**3 + 2*o**2 - 2*o - 4. Let z be n(3). What is the greatest common factor of l and z? 5 Let n(z) = -35*z + 1. Let m be n(-5). Suppose 3*s = 15, 3*s + 2*s + 19 = b. Calculate the highest common divisor of b and m. 44 Let q be (-7 - -2)/(-1)*5. Calculate the greatest common factor of 100 and q. 25 Let c(l) = l - 6. Let y be c(6). Suppose -3*j + 0*j + 42 = y. Let v be 4/14 + 52/j. Calculate the highest common factor of v and 2. 2 Let j = 975 + -392. What is the highest common divisor of 11 and j? 11 Let b be -20 - -176 - 8/1. Calculate the greatest common factor of b and 666. 74 Let k be (10/40)/((-2)/8). Let t be (1 - k - (-120)/(-32))*-8. Calculate the highest common divisor of t and 126. 14 Let r(f) = f**3 + 10*f**2 - 2*f + 11. Let i be r(-10). What is the greatest common divisor of i and 124? 31 Suppose -4*k = 158 - 30. Let c = k - -164. Suppose -13*g + 10*g = 5*d - 72, 2*g - 68 = -5*d. Calculate the highest common divisor of d and c. 12 Let s = -689 + 729. Calculate the highest common divisor of 184 and s. 8 Let h be ((-9)/(-4))/(219/2336). What is the highest common factor of 9 and h? 3 Let s = 232 + -144. Suppose -3*b + 44 = b. What is the greatest common divisor of b and s? 11 Let t = -151 + 304. Suppose -5*c = z - 27, -z - 13*c = -18*c - 7. Calculate the greatest common divisor of z and t. 17 Let u(v) = v**3 - v**2 - v - 4. Let a be u(0). Let w be (-38)/a*(2 - 0). Let x = 46 + w. Calculate the highest common divisor of x and 26. 13 Let v(d) = -26*d - 2. Let u(w) = -78*w - 6. Let r(a) = 4*u(a) - 11*v(a). Let x be r(-4). What is the highest common factor of 153 and x? 51 Suppose 28811 = 17*y - 2860. Calculate the greatest common factor of y and 81. 81 Let z(k) = 4*k + 10. Let a be z(-2). Let y be (-50)/(-6) + a/(-6). Let w(h) = -h**2 - 7*h - 6. Let p be w(-5). What is the greatest common divisor of y and p? 4 Let y = 31 - 26. Suppose -y*t + 24 = -21. What is the greatest common divisor of t and 45? 9 Suppose 3*b - x - 35 = 2*b, 0 = 3*b + 5*x - 145. Calculate the highest common factor of 68 and b. 4 Suppose -118 + 14 = -26*h. Calculate the highest common factor of 19 and h. 1 Let g = 14 - 12. Suppose g*k = -0*k - 5*p + 30, -2*k + 30 = -p. Calculate the highest common divisor of 15 and k. 15 Suppose -2*q + 1 + 1 = 0. Let o be 6/(-8) - (-279)/36. What is the highest common divisor of o and q? 1 Let i(y) = 1 + 120*y**3 - 9*y + 2*y**2 - 6*y**2 - 118*y**3 - 8*y**2. Let w be i(7). Suppose 3*x = -x + w. What is the greatest common divisor of x and 90? 9 Suppose -2*n = d - 265, 2*n - n = 2*d + 120. Let t = n - 72. What is the highest common factor of 522 and t? 58 Let p = -713 - -749. Calculate the highest common factor of 528 and p. 12 Let h = 1364 - 1322. Calculate the greatest common factor of h and 399. 21 Let w(k) = 5*k**2 + 0*k**2 - 3*k + 0*k**2 + 1. Let o be w(3). Let a = o + -4. What is the highest common divisor of a and 22? 11 Let z be (90/35)/(6/280). What is the highest common divisor of z and 12? 12 Let o = 7 - 6. Let n be (0 + o)*-2*11. Let h = n + 79. Calculate the highest common divisor of 19 and h. 19 Let d = -1467 - -2056. Calculate the greatest common divisor of d and 31. 31 Suppose -42 = -o + 4*x + x, 0 = -o + 4*x + 37. Suppose 3*d = 5*d - 18. Let t(l) = 21*l - 2. Let j be t(d). Calculate the greatest common divisor of j and o. 17 Let k be (-146)/(-5) - (-1)/(-5). Let g be (185/(-10) - -2)*-22. Let h = g - 131. What is the greatest common divisor of k and h? 29 Suppose 16 = 4*a - 16. Suppose -88 = -55*o + 54*o. What is the greatest common divisor of o and a? 8 Let h(z) = -9*z + 19. Let j(o) = 10*o - 21. Let m(p) = 3*h(p) + 4*j(p). Let d be m(4). What is the greatest common divisor of d and 200? 25 Let b = -23 - -43. Let p = -18 - -28. Suppose 2*c = 30 + p. What is the greatest common factor of b and c? 20 Let v = -726 + 823. What is the greatest common divisor of v and 1164? 97 Let g = 200 + -105. Let y(n) = n + 17. Let w be y(-15). Suppose 5*v = w*q - 63, 0 = -2*q + 5*q - v - 62. Calculate the highest common divisor of g and q. 19 Let n = -197 - -198. Let s be (-3)/(-12) + (-37)/4. Let x be (-4)/(-18) - 7/s. What is the highest common factor of x and n? 1 Let g(z) = -z - 3. Let p be g(-5). Suppose 0 = -j - p*j - 69. Let c = j - -26. What is the greatest common divisor of c and 6? 3 Suppose -2*w = -4*m + 22, -4*m = -w - 0*w - 21. Suppose 0*j + 2*d = -3*j + 67, -3*d + 110 = m*j. What is the highest common factor of 171 and j? 19 Let k be (1/3)/((-8)/(-120)). Suppose 5*d + k = -2*z + 123, -d = -5*z - 29. Let t(u) = 16*u**2. Let o be t(-1). Calculate the greatest common factor of d and o. 8 Suppose -39*o + 6 = -36*o. Calculate the highest common divisor of 36 and o. 2 Let t(l) = 4*l - 3. Let g be t(4). Let c be 5 + (-21)/(-12) + 46/(-8). Calculate the highest common factor of c and g. 1 Suppose -4 = 3*d - 5*d. Suppose -43 = -4*a - 3*w, w - 6*w + 39 = d*a. Let n = a + 7. Calculate the highest common factor of 126 and n. 14 Suppose 2*a - 5*n - 998 = 1172, 0 = -3*a - 2*n + 3236. Calculate the greatest common divisor of a and 40. 40 Let f(o) = o**2 + 4*o + 4. Let n be f(-4). Suppose n*x = 2*x + 60. Let u be 7/(21/60) + 0. Calculate the highest common factor of u and x. 10 Suppose -y + 1052 = -3*v, 2*v + 674 = -y - 34. Suppose 36*g - 35*g + 55 = 0. Let z be v/g - (-6)/10. Calculate the highest common divisor of z and 7. 7 Let l be 30/(-4)*(-4 - -2). Let a be 1 - (-4 - -3) - -9. Let q be a + (3 - 2) + -2. Calculate the greatest common divisor of l and q. 5 Let o(q) = -36*q + 125. Let w be o(3). What is the highest common divisor of w and 85? 17 Let k be ((-231)/(-6))/(43/14 + -3). What is the highest common factor of 49 and k? 49 Suppose m - 10 - 24 = 0. Suppose 0 = 2*n - 6*n + 340. Calculate the highest common factor of m and n. 17 Let y be (-4 - -35)*1 + -3. Suppose -f + 6 - 4 = 0. Suppose 0 = -2*m + f*g + g + 17, 0 = -5*m + 2*g + 37. What is the highest common factor of y and m? 7 Suppose -15 = -3*n, 5*i + 33*n - 30*n - 5115 = 0. Let r = i + -602. Suppose -2*k + 6 = 2, 5*t - 182 = 4*k. Calculate the highest common factor of t and r. 38 Let s = 119 - 42. Let v = -53 + s. Suppose 4*i + 0*y - 48 = -4*y, i = 2*y + 24. Calculate the greatest common divisor of v and i. 8 Let o(a) = 10*a - 2. Let c be o(5). What is the highest common factor of c and 6? 6 Suppose f - 14 = -4*w - 49, 85 = -4*f - 5*w. Let x = 55 + f. What is the highest common divisor of x and 60? 20 Let y be 21/(-9)*(-5 - 1). Suppose -4*o = 4*o + 4*o. Suppose o = -2*j + 115 + 25. Calculate t
{ "pile_set_name": "DM Mathematics" }
Let w(l) = -l**2 - 3*l + 1. Let g be w(-4). Let z be -1*g/2*2. Suppose -z*s + 38 = 8. What is the highest common divisor of 90 and s? 10 Let w be -30*((-20)/6)/5. Let k = -50 + w. Let n = k + 44. What is the greatest common factor of 28 and n? 14 Let y(t) = -t**2 - t + 348. Let i be y(0). Let c = 501 - i. Calculate the greatest common divisor of 17 and c. 17 Let o = 28 + -6. Let l = o - 8. Let g be (1 + (-20)/(-8))/(2/4). Calculate the highest common factor of l and g. 7 Let v = 14 - -3. What is the greatest common divisor of v and 17? 17 Let p be 6/33 - (-416)/11. Suppose 0 = 4*b + w - 230, 0*w + 3*w = 5*b - 279. What is the highest common factor of b and p? 19 Let g = 159 + -54. Calculate the highest common divisor of g and 21. 21 Let j(l) = 3*l**3 + 2*l**2 - l. Let i be j(1). Suppose i*t = -1 + 89. Let x be 1/(-2 + 23/11). Calculate the greatest common factor of x and t. 11 Let m be 6/2*(-1 + 7). Suppose 0 = 5*g - 0 - 15. Suppose 35 = g*h + 8. Calculate the highest common factor of h and m. 9 Suppose -2*i = -4*i + 24. Calculate the highest common divisor of i and 36. 12 Suppose -3*a = 3*a - 390. What is the highest common divisor of a and 5? 5 Suppose -4*d = -6*d + 6. Suppose 0*v - d*v + 3 = -5*z, -3*z = -3*v + 9. Calculate the greatest common factor of v and 54. 6 Let z(o) = 0 - 4 - 1 + 1 + 3*o**2 + 3*o. Let x be z(4). Calculate the highest common divisor of x and 8. 8 Let v(r) = -r + 11. Let p be v(5). Suppose z + 5 = -2*o, -o + p = -5*o + 2*z. Let y be 259/4 + o/(-8). What is the greatest common factor of 13 and y? 13 Suppose 11 = 4*y - 21. Suppose -4*z - 131 = -2*d - 3*z, -189 = -3*d - z. What is the highest common divisor of y and d? 8 Suppose -4*x + 0 = -2*l - 2, -l = 5*x - 20. What is the greatest common divisor of l and 15? 5 Suppose -4*s = -0*s. Let j(r) = -r**2 - 7*r - 7. Let x be j(-5). Suppose s = -x*o + 2*o + 15. Calculate the greatest common factor of 10 and o. 5 Let w = 63 - -3. Let s = 11 + 11. What is the greatest common divisor of s and w? 22 Let m(r) = -2*r - 33 + 33. Let i be m(-6). Let g be i/(-8)*(-16)/3. What is the highest common factor of 88 and g? 8 Let i(l) = l - 7. Let z be i(3). Let w = z + 8. Suppose 3*a - 5*d = 56, 0 - 4 = a + w*d. What is the greatest common divisor of 48 and a? 12 Suppose 0 = 4*i - 0*i. Suppose i = -0*c + 4*c - 308. Suppose -3*r = -4*r + c. Calculate the greatest common factor of 11 and r. 11 Let l(i) = -i + 5. Let y be l(5). Suppose y = -4*s + 56 + 52. What is the highest common factor of 3 and s? 3 Let m be (80/(-12))/(3/(-18)). Calculate the greatest common factor of 30 and m. 10 Let b = -13 - -23. Suppose 0*g - b = -5*g. Calculate the greatest common divisor of 3 and g. 1 Let l be (-48)/(-4) - (1 - 1). Suppose 5*o - l = 3. Calculate the greatest common factor of o and 9. 3 Let w(t) = -t - 9*t - t. Let c be w(-6). What is the highest common divisor of 6 and c? 6 Let a(q) = -q - 3. Let v be a(-5). Let w(x) = x**3 - x**2 - x - 1. Let k be w(v). What is the greatest common factor of 5 and k? 1 Suppose 6*y - y = 25. Suppose 0 = 2*u - y + 17. Let t = u - -142. What is the highest common factor of 17 and t? 17 Let b = 10 - -18. What is the greatest common divisor of b and 14? 14 Suppose 25 = 3*b - 5*o, 3*b - 3*o = 24 - 9. Let a be 10/1 - (b - 3). Calculate the highest common divisor of 91 and a. 13 Let c = 63 + -48. Calculate the greatest common factor of 35 and c. 5 Let x be (3 - (-162)/(-30))*50/(-3). What is the greatest common factor of x and 5? 5 Let n be (17/2)/((-3)/(-6)). Calculate the greatest common divisor of 136 and n. 17 Suppose -3*u + 31 + 14 = 0. What is the highest common factor of u and 120? 15 Let t be 10/(((-2)/24)/(-1)). Calculate the highest common divisor of 15 and t. 15 Let m = 12 + -13. Let x(b) = 1. Let n(h) = 9*h + 3. Let j(f) = -n(f) + 4*x(f). Let g be j(m). What is the greatest common divisor of 10 and g? 10 Suppose 0 = 2*o - q - 24, 0 = -5*o - 9*q + 4*q + 75. What is the highest common factor of 13 and o? 13 Let n = -184 + 234. Calculate the greatest common factor of 450 and n. 50 Suppose 0 = 6*v + 26 - 128. What is the highest common factor of 51 and v? 17 Let f be (1 + -4*1)/(9/(-168)). What is the greatest common factor of 28 and f? 28 Suppose 4*s + 58 - 218 = 0. Let m = s - 20. Calculate the highest common factor of m and 60. 20 Suppose -40 = -4*t - 8. Calculate the greatest common factor of t and 12. 4 Let a(r) = -r - 1. Let v be a(-1). Suppose -4*u + v*f + 318 = -2*f, -u + 2*f + 78 = 0. What is the greatest common factor of u and 16? 16 Let r be (-65 + 0)*((-26)/10 - -2). What is the greatest common divisor of 117 and r? 39 Suppose n + 10 = 3*n. Let b(z) = z**2 - 6*z + 7. Let h be b(n). Suppose -r - h*r = -225. Calculate the highest common factor of 30 and r. 15 Suppose b = -b + 22. Calculate the greatest common factor of b and 22. 11 Suppose -f + 16 = 3*f. Let w be (-756)/(-44) - f/22. What is the greatest common factor of w and 136? 17 Let t = 70 + -40. Calculate the greatest common divisor of t and 12. 6 Let w(g) = g + 343. Let k be w(0). Let y = k + -226. Calculate the greatest common factor of 13 and y. 13 Suppose 11*r - 196 - 134 = 0. Let m be 0/(2 + -3 + -1). Suppose 2*g = -2*j + 40, m*j - 5*j + 70 = -g. What is the highest common factor of j and r? 15 Let j be (-3 - -1)*-1*(-7)/(-2). What is the highest common factor of 7 and j? 7 Suppose 0*s = 5*s - 200. Let z = 17 + -12. What is the highest common divisor of z and s? 5 Let y = 1430 + -935. Suppose y = 11*t - 6*t. Calculate the greatest common factor of t and 9. 9 Let v = -86 + 176. What is the highest common divisor of 18 and v? 18 Suppose 19 = h - 3*r, 4*h + h = -5*r - 5. Suppose 0 = -4*j + q + 36, -3*q - 45 = -5*j - 8*q. Let o = 41 - j. Calculate the highest common divisor of h and o. 4 Let n be 16/9 - (-6)/27. Suppose n = 4*l - 6. Suppose -j = l*k - 168, -k = -0*k - 4. Calculate the greatest common factor of j and 20. 20 Let h be (2/6)/(5/405). Suppose -2*k - 18 = -4*k. What is the greatest common divisor of h and k? 9 Suppose 3*u - 4*h = 32, -u + 22 = 2*u - 2*h. Suppose -3*p - u*r + 4 = 0, 22 = p - 2*r + 4. Suppose 14 = w - 2. What is the highest common divisor of w and p? 8 Let k = -70 - -80. Suppose -3*q + 5*q - 18 = -4*d, 0 = q + 3. Let t = d + 24. What is the greatest common factor of t and k? 10 Let q = -83 + 97. What is the greatest common factor of q and 35? 7 Let d = 15 + -13. Suppose 5*b - 4*m - 200 = 179, 0 = -4*b - d*m + 298. What is the greatest common divisor of 30 and b? 15 Suppose -5*k + 51 = -3*g, 0*k + g - 16 = -2*k. Calculate the greatest common divisor of k and 9. 9 Let l(h) = -h**3 - 4*h**2 - h + 3. Let s be l(-5). Calculate the highest common divisor of 22 and s. 11 Suppose l + 4*l - 25 = 0. Suppose l*o - 630 = 2*o. Let g be (21/(-2))/(1/(-2)). Calculate the highest common divisor of g and o. 21 Let t be 338/8 - (-1)/(-4). Suppose v - 38 = -v - 3*q, t = 2*v + q. What is the greatest common divisor of v and 11? 11 Let d = 89 + 98. What is the greatest common factor of 17 and d? 17 Let t be (742/10)/7 - (-2)/5. Suppose 5*b - 55 = -0*b. What is the highest common divisor of b and t? 11 Let n(b) = 5*b**2 - 3*b + 1. Let c(v) = 9*v**2 - 6*v + 2. Let g(r) = -6*c(r) + 13*n(r). Let s be g(4). What is the highest common factor of 15 and s? 15 Suppose -y - 50 = -186. Let u = 226 - y. Let s be -4*2*(91/(-28) + 1). What is the highest common divisor of s and u? 18 Let u(d) = 2 + 3 + 4 + 7*d - 10*d**2 + 3*d**2 - d**3. Let p be (-1 - 5)*(-8)/(-6). Let s be u(p). Calculate the highest common divisor of 51 and s. 17 Suppose a - 2 + 0 = 0. Suppose w - a*w = -22. What is the highest common factor of w and 33? 11 Suppose -3*m = 36 - 234. Let s = -41 + 140. What is the highest common factor of m and s? 33 Let f(t) = t**2 - t - 2. Suppose -2*m - 4 = 4. Let s = m - -9. Let a be f(s). Calculate the greatest common factor of 9 and a. 9 Let g be ((-2)/4)/(1/(-30)). Suppose -5*p + 34 = -p + 2*z, -p = z - 7. Calculate the greatest common factor of g and p. 5 Let c(w) = 5*w**2 + 4*w - 6. Let p be c(4). Let a(l) = -l**2 - 9*l - 2. Let h be a(-5). What is the highest common divisor of h and p? 18 Let j(l) = l**2 - 9*l + 17. Let p be j(8). What is the highest common factor of 18 and p? 9 Suppose 5*d +
{ "pile_set_name": "DM Mathematics" }
? (a) f (b) -2 (c) 3 c Let a = 53/85 + -11977/19890. Let m = 22723/1170 - a. Let d = 20 - m. What is the third smallest value in 6/7, 0.2, d? 6/7 Let k = -455 + 451. What is the second smallest value in k, -0.2, -7, -10? -7 Let x = 1/239 - 965/2151. Which is the third smallest value? (a) x (b) 5 (c) 2/19 b Suppose 3*h + 3*z = 15, -2*z = h - 7*z - 5. What is the fourth biggest value in h, 1/5, -1, -0.3? -1 Let i = 2.5 + 3. Let f = 5.5 - i. Which is the smallest value? (a) f (b) 5 (c) -1.1 c Let q be (-16)/6*(-27)/(-90). Let h = q + 6/5. Let t = -1/121 - 229/1573. What is the second smallest value in t, 3, h? h Let j = -3.9 + -1.1. Let m = 217 - 214. Which is the third smallest value? (a) j (b) m (c) -0.1 b Let x = -0.02 - 0.14. Let j = 0.74 - x. Let o = -3.1 - j. What is the third smallest value in o, 4, 5? 5 Let k(c) = 0*c + 2*c - 5 - 1. Let h be k(4). What is the second biggest value in -5, -0.8, h? -0.8 Let r = -84.7 + 84.7. Which is the second smallest value? (a) r (b) -5 (c) 321 a Let j be 3/(-4) + 88/32. Suppose j*m = 3*t + 1 + 6, 10 = 2*m. Let w = 0.03 - -4.97. Which is the third biggest value? (a) -3 (b) t (c) w a Let h(r) = r + 21. Let o be h(-24). Let j(f) = -f**2 + f. Let m be j(2). Which is the smallest value? (a) o (b) 0.2 (c) m a Let m = 2.3 + -2.2. Let p = 3.6 - 0.6. Let v = p - 1. Which is the second smallest value? (a) m (b) v (c) 0 a Let u = -1200 + 1200. Let o = 210 - 2732/13. Which is the third biggest value? (a) u (b) o (c) -4 c Let j = 26.3 - 68.7. Let r = 42 + j. Which is the biggest value? (a) r (b) 1/5 (c) -2/3 b Suppose 3*h + 3*m = -75, -4*h + 5*m + 4 = 149. Let s = h + 42. Suppose -s*z = -10*z. What is the smallest value in -0.4, 4, z? -0.4 Let b = 0.97 + 0.06. Let v = b + -0.73. What is the third smallest value in -2, 2, v, 0.04? v Suppose -6 = -4*s - 14. Let k = -7/17 + 38/51. Which is the biggest value? (a) -0.4 (b) k (c) s b Let n = 342 + -342.3. Which is the biggest value? (a) -2 (b) n (c) -9 (d) -3 b Let t = 0.1626 - 29.1626. What is the second biggest value in t, 8/7, -2/11? -2/11 Suppose -8*u = 2*y - 9*u + 6, 4 = -4*y - 2*u. Which is the smallest value? (a) -5 (b) 0 (c) -4 (d) y a Let l = -0.0365 + 0.4365. What is the third biggest value in 1, l, -6/5, -2/29? -2/29 Let f = -4.5 + 4.3. Let h = -0.4 - -0.2. Let t = h + f. Which is the second smallest value? (a) t (b) 0.4 (c) 3 b Let x(h) = h**3 + 26*h**2 - h - 27. Let s be x(-26). Which is the third smallest value? (a) -3/139 (b) 0.5 (c) s (d) -4/5 a Suppose -2*z = 5*i - 4, -i + 3*z + 9 = -2. Let q(g) = g - 2. Let s be q(i). Let h = s + -3. What is the second biggest value in -4/9, h, -1? -1 Let i = -106 - -849/8. Let m(f) = -3*f + 17. Let z be m(5). Let k be (z*2/8)/(-1). Which is the second smallest value? (a) -1 (b) i (c) k c Let z = 50/9 + -214/45. Let o = 0.97 - -0.23. Let w = o + -1.2. Which is the smallest value? (a) z (b) w (c) 1 b Let p = -19/22 - -4/11. Let t = -775.3 - -770.309. Let v = -0.009 + t. Which is the second biggest value? (a) v (b) p (c) -0.2 b Let y = 0.467 - 0.167. Let q = -9 - -13. Which is the smallest value? (a) 0 (b) y (c) 5 (d) q a Let s = 361 - 12633/35. Let a = 1247 - 1245. What is the second biggest value in -2, a, s? s Suppose 5*s - 4*q + 90 = q, 2*q = 8. Let r be (-32)/s - 2/7. Let g = -4 + 7. Which is the third smallest value? (a) g (b) 1/2 (c) r a Suppose -17*s = -23*s + 30. Which is the fourth biggest value? (a) 0 (b) s (c) -0.1 (d) -5 d Let j = 144 - 287/2. Which is the second smallest value? (a) 0.2 (b) -0.11 (c) j (d) 5 a Let v = -4.9274 - 0.0726. Let w = 0.1 + 0.9. Which is the smallest value? (a) 2/3 (b) -2 (c) v (d) w c Let w = 2.358 - 2.258. Which is the third smallest value? (a) 5 (b) w (c) 156/23 c Suppose -15 - 24 = -3*s - 2*n, -n + 42 = 3*s. Suppose 3*u + s = 8*u. What is the third smallest value in -2/27, u, -3/8? u Suppose 5*i = 0, -5*i - 62 = -5*q + 23. Let g = q - -3. Which is the second biggest value? (a) g (b) -3/5 (c) 1 c Let h = -116 - -115.41. Let z = h - -0.29. Which is the third biggest value? (a) z (b) 0.05 (c) 2/15 a Let n = -1 + -4. Let y = -3.9 - -1. Let p = y - -4.9. What is the third smallest value in p, n, 0.2? p Let l = 1.7 - -8.3. Let h = 6 - l. Let t = -129 + 126. Which is the third smallest value? (a) t (b) -2/11 (c) h b Let z be 6/27*(6 - -1). Let h = 116/63 - z. What is the biggest value in -1/2, 0.1, h? h Let t = 2/13 - -9/26. Let h be (32/40)/(28/10). What is the fourth biggest value in -0.3, t, -3, h? -3 Suppose 4*r = -149 - 19. Let z be 8/r + (-5)/35. Which is the biggest value? (a) -2/13 (b) 2 (c) z b Let r = 1.65 + -1.7. Let j = 14.05 + r. Let k = 13 - j. Which is the third biggest value? (a) k (b) -2 (c) 0.4 b Let g be 2/(-30)*(-42)/(-406). What is the fourth biggest value in g, -3, -4, -5? -5 Let k = -192.8 + 162.8. Which is the fourth smallest value? (a) -5 (b) k (c) -0.2 (d) 1 d Let x be 255*(-2)/(3 + -5). Let y = 4333/17 - x. Let k(u) = -u - 6. Let m be k(-4). Which is the second biggest value? (a) m (b) -1 (c) y b Let l be (1/(-5))/(-1)*(-60)/72. Let u = -0.35 + 0.05. Let g = 0.1 + u. Which is the third biggest value? (a) 0.5 (b) l (c) g c Let n = -143.35 - -132. Let o = n + 11. Let k = -0.15 - o. What is the second smallest value in k, -2/21, -0.4? -2/21 Let r be ((-2)/(-35))/(((-112)/40)/(-7)). Which is the third biggest value? (a) r (b) 8 (c) 0.1 (d) -2/15 c Suppose -2*w = -5*w + 4*f - 1, 7 = -3*w + f. Let g be 4/(14/(-3)*w). Let l = 5.8 + -5.6. What is the second biggest value in l, g, -0.14? l Suppose 2*n + 3*n = 0, 3*m + n = 0. Let b = -4 + 3.7. What is the third biggest value in 0.3, b, m? b Let w(v) be the first derivative of -v**4/4 - 4*v**3/3 - 2*v**2 - 3*v - 5. Let u be w(-2). Let k = 63 + -314/5. What is the second biggest value in u, k, 4? k Let j(s) = -s + 15. Let m be j(13). Let u = m + -7. What is the third smallest value in 2, u, 1? 2 Let r = -217 - -359. Let v = r - 141.9. What is the biggest value in 3/7, v, 3? 3 Let h = 11.7 - -36.3. Let j = h + -48.5. Which is the third smallest value? (a) j (b) -2/25 (c) 0.1 c Let h = -533/3 - -177. What is the second smallest value in 2/9, -3/5, -2, h? h Let l be 62/15 - (-10)/15. Let o = 67/15 - l. Let w = -0.03 + -0.07. What is the smallest value in w, 0, o? o Let z = -2591 + 2604. What is the biggest value in -1/7, z, -2/13, -3? z Let l = -0.013 - 0.187. Let g = -255/4 + 64. Which is the biggest value? (a) -3 (b) 4/9 (c) l (d) g b Let s = 18.2 - -3.8. What is the second smallest value in -0.2, s, 2/5, 5/4? 2/5 Let z(p) = -81*p - 1. Let m be z(0). What is the biggest value in m, 0.3, -0.3, 2/15? 0.3 Let p = -0.2 + -0.3. Let y = -1108 + 1109. Which is the fourth biggest value? (a) 2/11 (b) y (c) p (d) -0.1 c Let p = -14 - -18. Let f be p/(-1) - -2 - -2. Let m = -4 + 2. What is the third biggest value in m, -3, f? -3 Let d = -6.1 - -37.22. Let b = d + -31. Let j = 0.02 - b. What is the biggest value in 2, -1, j? 2 Let r = -6.2 + 6. Let v = -5.26 - -1.26. Which is the second biggest value? (a) r (b) v (c) -3 c Let h = 680 - 683.2. Let x = -0.2 + -0.8. What is the third biggest value in h, -5, x? -5 Let l = -1.15 - -0.95. What is the third smallest value in 0.06, 1, -2, l? 0.06 Let g = 1.3 - 0.3. Let q = 6562.4 - 6562. Which is the second smallest value? (a) 1/69 (b) g (c) q c Let f = 1270 + -1268. Let y = -0.22 + 0.2. Which is the fourth smallest value? (a) y (b) 0.2 (c) -2 (d) f d Let o be ((-15)/10)/(15/4). Let n be (32/(-40))/((-2)/(-119)). Let s = -47 - n. What is the smallest value in 1, o, s? o Let u = -146 + 155. Let p = -4 + 0. Let g be 3 - p*15/(-18). Which is the smallest value? (a) g (b) 0.3 (c) u a Let d = -529 + 529.1. What is the third biggest value in 7/4, -0.4, d? -0.4 Let h = -306 - -307. What is the second biggest value in 5, -4, -2/3, h? h Suppose -18 = -5*u + 2, 5*u = -4*j + 32. Let i be (12/54)/(j/(-9)). Which is the second smallest value? (a) i (b) 0 (c) 0.3 b Let q = 15 + -2. Let o(b) = -2*b**3 - 10*b**2 - 1. Let i(a) = -6*a**2 + 3*a - 2. Let p be i(1). Let x be o(p). What is the smallest value in 1, q, x? x Let o be 13/3 + (-6)/18. Let d = 7 - 7.5. What is the sma
{ "pile_set_name": "DM Mathematics" }
in ascending order. -10, -2, a Let y(k) = -k**3 + 6*k**2 + 5. Let p be y(6). Suppose 4180 = 28*m - 39*m. Let d be (-2)/(-10) + (-10184)/m. Put -3, d, p in ascending order. -3, p, d Let v = 5.524 - 0.524. Let y = -7 + -1.4. Let u = y - -3.4. Sort v, u, -0.05 in decreasing order. v, -0.05, u Suppose -19 = 229*h - 228*h - 5*t, -3*h = 3*t + 93. Put h, -16, -2 in increasing order. h, -16, -2 Let a = 525 - 530. Sort 7, -1, -0.2, a. a, -1, -0.2, 7 Let q(x) = -13*x**2 - 117*x - 117. Let b be q(-1). Sort 0, b, -6, 1, -2 in descending order. 1, 0, -2, -6, b Let z = 4625.3 - 4625. Sort 23.2, z, -1/7 in ascending order. -1/7, z, 23.2 Let s = -2642 - -1843. Let n = s - -800.2. Sort -0.4, 0.5, n, 3/5 in ascending order. -0.4, 0.5, 3/5, n Let u be 24/(-231) - (-2)/7. Let b = -38555 - -1349557/35. Let g = -431/105 + b. Sort u, -0.2, g in decreasing order. u, -0.2, g Let i = 5161 - 5161. Put 1/4, -10/9, i, 2/5 in increasing order. -10/9, i, 1/4, 2/5 Let t = -2.41 - -2.21. Let j = 194 - 1356/7. Put t, j, 3 in descending order. 3, j, t Let o = 482.5 + -484.5. Let y be 3/6 + 7/(-10). Put y, 2/9, o, 0.3 in increasing order. o, y, 2/9, 0.3 Suppose -13 = 5*g - 3*m, -4*g - 4*m + 5*m - 16 = 0. Let s = g + 14. Let x be 36/90 - (-2)/(-5). Put -3, 4, s, x in increasing order. -3, x, 4, s Let o(g) = -19*g**3 - 116*g**2 - 6*g + 31. Let k be o(-6). Let c(q) = -q - 2. Let p be c(-8). Let x be 1 + 3*2/6. Put p, 0, x, k in increasing order. k, 0, x, p Let f(n) = -25*n + 292. Let m be f(12). Put -2, 1, m, 3 in decreasing order. 3, 1, -2, m Let n = 17364.89 + -17364. Put 4/7, n, -4, 0.4, 5/3 in increasing order. -4, 0.4, 4/7, n, 5/3 Suppose -5*o = 5*q - 190, 140 = 3*o - 3*q + 14. Suppose 0 = o*g - 10*g + 150. Let n be (-1)/(-1*(-1)/2). Sort 4, n, g. g, n, 4 Let a = -0.053 + 11.153. Let h = a + -10.1. Let t = 39 + -45. Sort -0.5, t, h in ascending order. t, -0.5, h Let f = 2726 - 2332. Sort 1, 0, -4, f in ascending order. -4, 0, 1, f Let i = -1037.2 - -1037.6. Sort -3, -1/7, i, 1/7, -2/15 in decreasing order. i, 1/7, -2/15, -1/7, -3 Let m = -41 - -39. Suppose 3*d - 149 = -4*f, 5*f - 166 = -5*d + 89. Let l = d + -60. Sort m, 0, l, 1 in descending order. 1, 0, m, l Let n be 15/(1155/476) - (2 - -4). Put 0.1, 0.4, -1/4, 1, n in descending order. 1, 0.4, n, 0.1, -1/4 Let b be (-429)/8151*(-19)/2. Sort 18, b, 6/7, -8 in ascending order. -8, b, 6/7, 18 Let s = 592 - 595. Let v be (-4)/s*(-8 - (-1074)/132). Sort -2/31, v, 5 in descending order. 5, v, -2/31 Let c = 18416 - 18427. Sort c, 2/7, -1/3, -6, -5 in descending order. 2/7, -1/3, -5, -6, c Let l = 36 + -36.5. Suppose 10*z - 819 = 3*z. Let g = z + -119. Put g, l, 0.09, -3 in increasing order. -3, g, l, 0.09 Let a = -4 + 7. Suppose 2 + a = -s. Let p(z) = z**3 - 15*z**2 - 34*z + 11. Let x be p(17). Put x, s, -4 in ascending order. s, -4, x Suppose -4*u - k - 2*k = -13, 0 = u - 2*k + 5. Suppose -u = -w - 2. Suppose 17*y + 7 - 82 = -8*y. Sort y, -2, w in descending order. y, w, -2 Let u = -15720.3 - -15720. Sort 11, -0.059, u, 0.2 in descending order. 11, 0.2, -0.059, u Suppose 3*m - m + 16 = 0. Let l = -798 - -793. Sort 1, l, m, 2 in descending order. 2, 1, l, m Suppose -119*l = 3920 + 2982. Put -5, -12, l, -3 in decreasing order. -3, -5, -12, l Let b be 2/13 - ((-84)/(-39) + 4) - -24. Sort 1, b, -2, 20 in increasing order. -2, 1, b, 20 Suppose -4*w - 50 = w. Let f = 85 - 81.625. Let c = 0.375 - f. Put c, w, -4 in ascending order. w, -4, c Let i = -0.12784 + -18.87216. Sort -3, i, 0.3, -2/19, -5. i, -5, -3, -2/19, 0.3 Let b = -35.702 - -35.622. Put b, -1/2, -52 in increasing order. -52, -1/2, b Let z = 1 + -0.8. Let f = 1000 + -1000.3. Let a = f + z. Sort 4, 3/4, 5, a. a, 3/4, 4, 5 Let u(q) = -33*q - 826. Let y be u(-25). Put -14, y, -10 in ascending order. -14, -10, y Let u(d) = 9*d**2 - 94*d - 59. Let p be u(11). Sort p, -3, 20, -5 in descending order. 20, -3, p, -5 Let f = -9742/3 - -506479/156. Let v be 3 + -3 + 2/(-26). Let b = f + v. Sort b, 0.2, 1/3, -3 in descending order. 1/3, 0.2, b, -3 Let n = -4480 + 4479.5. Sort 2/15, n, -0.34 in descending order. 2/15, -0.34, n Suppose 6 = -6*d + 4*d. Let m(k) = -42 + k + 78 - 41. Let h be m(8). Sort -4, h, -2, d in descending order. h, -2, d, -4 Suppose 13*u - 11*u - 2 = 0. Suppose w + 3 = 2*q, -2*w + 8 + u = q. Let t be ((-6)/8)/(-1)*-4. Sort w, -2, t. t, -2, w Suppose 2*d = 8, -5*l + 3*l = 5*d + 372. Sort l, -2, -5 in descending order. -2, -5, l Let x = 0.9 + 0.1. Let b = 176422 - 4057708/23. Put b, 2/13, x, -0.3 in ascending order. -0.3, b, 2/13, x Let q = 28487 + -28487.4. Sort 8/5, -0.46, q in increasing order. -0.46, q, 8/5 Let m = -0.28969 - -0.78969. Put 4.02, m, -1 in descending order. 4.02, m, -1 Let y = 7977 + -7973. Put -10, -4, 0.3, y, 83 in ascending order. -10, -4, 0.3, y, 83 Let w = 3 + -3. Suppose 2*u - 17 = -3*q, -9*q + 6*q = 4*u - 31. Sort w, q, -2, 0.4 in increasing order. -2, w, 0.4, q Let u = 5674 + -5670. Sort 2, -22, u, -4. -22, -4, 2, u Let b = 1319.5 + -1316.5. Put 16, -0.23, b in increasing order. -0.23, b, 16 Suppose 0 = -2*r + 2*z - 26, -2*r + 3*z - 3 - 20 = 0. Let b = -9 - -10. Put -2/19, b, r, -0.3 in ascending order. r, -0.3, -2/19, b Let m = -10931 + 10930. Let i = -1.2 - 2.8. Sort 0.2, -2, i, m. i, -2, m, 0.2 Suppose -p + 50 = 5*y, -p + 23 = 31*y - 29*y. Put 0.5, -0.1, y in descending order. y, 0.5, -0.1 Suppose 2*m - 7*m + d - 47 = 0, -44 = 4*m - 4*d. Let z be (-3)/m + (1 - 2). Let p = -144791 + 144788. Sort 1, z, p in decreasing order. 1, z, p Let w = -4088 - -4083. Sort -11, 61, w. -11, w, 61 Let l = 8.01 - 8.01. Let b = 170 - 1192/7. Let m be -2 + ((-76)/(-37))/1. Sort m, b, l, -2. -2, b, l, m Let r be 62/(-10) + -2 - (-41)/205 - -3. Let q(a) = a**2 - 5*a + 4. Let c be q(3). Let h be 3 - (0 + 1) - -1. Put 2, c, r, h in descending order. h, 2, c, r Let o be 946/66 - (-126)/(-9). Let l be -3*1 - (-10)/5. Let z be 16/4*l/18. Sort z, 4, o in descending order. 4, o, z Let j = -460 - -468. Let g = -28 + 31. Sort g, 5, j, 0. 0, g, 5, j Let o = -44589 + 44513. Put -2, o, -16, 2, 4 in descending order. 4, 2, -2, -16, o Suppose -4*f - 25 = f, -3*o + 19 = -2*f. Let b be -54 + 15/o + 0. Let g = b + 50. Sort g, 5, 0, -1 in descending order. 5, g, 0, -1 Let v = 57.3 + -58. Let z = -0.6 - v. Suppose 3*r = 2*r + 2. Sort -2/3, r, z in increasing order. -2/3, z, r Let p = 18.361 + -17.361. Put p, 1/7, -0.804 in ascending order. -0.804, 1/7, p Let t(c) = -10*c**2 - 21*c - 15. Let o be t(-8). Let g = 486 + o. Sort g, 0, 16 in descending order. 16, 0, g Let r(f) = 4*f - 45. Let x be r(10). Put 1, x, 0, 4, 17 in decreasing order. 17, 4, 1, 0, x Let u = -4367 - -4291. Put -0.3, -2/13, u, 2/9 in ascending order. u, -0.3, -2/13, 2/9 Let q(i) = 7*i**2 + 29*i + 9. Let v be q(-5). Let y be 2/((-8)/(-11))*-14. Let n = y + v. Sort 5, n, 0.3. 0.3, n, 5 Let b = -4462 - -4467. Put b, -4, -35, -0.1 in ascending order. -35, -4, -0.1, b Let z = -0.04288 + 4.04288. Sort 1.4, 4/9, z in ascending order. 4/9, 1.4, z Let d = 1.6 + -1.24. Let r = -1.24 + 4.6. Let p = r - d. Put 0.3, p, -5 in descending order. p, 0.3, -5 Let w = -92.9 - -92.213. Let b = 0.313 - w. Sort 5, -29, b, -3 in increasing order. -29, -3, b, 5 Let s be (1/(-7))/(24/28). Let v = 5055 + -5055. Sort -3, v, -0.1, s in descending order. v, -0.1, s, -3 Let y = -131.2 - -131. Put y, 4, -5, -2 in decreasing order. 4, y, -2, -5 Suppose 19*g - w - 79 = 16*g, 5*g - 137 = 3*w. Suppose g = -4*x + 3*p + 28, 3*p = -15. Sort x, 2, 13 in ascending order. x, 2, 13 Let w be ((-349)/(-3))/(91/(-39)). Let c = -50 - w. Let t = 84/31 + -765/248. Sort 2/3, c, t in decreasing order. 2/3, c, t Suppose 0 = 6377*s - 6359*s - 412 - 146. Let j(o) = -o - 1. Suppose -2*v - 3*w + 1 = -11, 4*v = 3*w + 6. Let r be j(v). Put s, 5, r in increasing order. r, 5, s Let h = 4781 - 4779. Put 13.5, -5, h in decreasing order. 13.5, h, -5 Suppose 2*a + 5*o - 6 = 0, -2*a = a + 4*o - 2. Suppose -4*b = 2*h - 30, -4*h + 14 = 4*b - 6. Sort 1, a, -1, b in descending order. b, 1, -1, a Let j = 5835 + -5834.98. Put -1, j, 1/2, -5, 1.5 in descending order. 1.5, 1/2, j, -1, -5 Suppose -m = 4*w - 10, 8*m - 4*m + 5*w = 73. Let s = -17 + m. Suppose -3*v - 4*d + 75 = -5*d, 2*d = -s*v + 136. Sort -3, -4, v in decreasing order. v, -3, -4 Let r be (-2 + (60/8 - 5))*-2. Sort
{ "pile_set_name": "DM Mathematics" }
rt(5) Simplify -3*((2 + -2*3*sqrt(343) + -1)**2 + 1). -37050 + 252*sqrt(7) Simplify (-6*5*(sqrt(2025) + sqrt(2025)*3))/((sqrt(1080) - sqrt(1080)*-2 - sqrt(1080))/(4*sqrt(54))). -1080*sqrt(5) Simplify (2 + sqrt(1053)*2 + (-6*sqrt(208) - (sqrt(208) + -1 + sqrt(208) + sqrt(208))) + 3 + 3)**2. -324*sqrt(13) + 4293 Simplify (-4 + 4 + (-1 + 1 + sqrt(98) - (sqrt(98)*1 + sqrt(98))*-5) + -2 + -1)**2 + 4. -462*sqrt(2) + 11871 Simplify -5 + 4*((sqrt(108) + -2*sqrt(108)*-1 + 3)*3*-3)**2. 34992*sqrt(3) + 317839 Simplify (6*5*(1 + sqrt(125)*-4 + -2 + sqrt(125) + sqrt(125)*-1 + sqrt(125) + -4))**2. 135000*sqrt(5) + 1035000 Simplify (-5*sqrt(297)*3)/(sqrt(11)*1*-4 + (sqrt(66)*-1)/sqrt(6))*3. 27*sqrt(3) Simplify ((-3*-4*sqrt(13))**2 - (sqrt(13) + -4 + sqrt(13) + -1)) + ((sqrt(1300)*-2)/(sqrt(16)/sqrt(4)*5))**2. -2*sqrt(13) + 1929 Simplify (sqrt(405) - sqrt(405)*-2*1)/sqrt(9) + -4*((sqrt(720) - (sqrt(720) + 0)*1) + sqrt(720))**2. -2880 + 9*sqrt(5) Simplify -5 + (-2 + 3*1*sqrt(700)*6 + 4)**2 + 5 + -5. 720*sqrt(7) + 226799 Simplify -4*((sqrt(130) - (sqrt(130) + -1*sqrt(130)))*-2 + sqrt(130))/sqrt(10) - ((sqrt(78) + (sqrt(78) - (sqrt(78) + -1*sqrt(78))))*-6)/sqrt(6)*-2. -20*sqrt(13) Simplify (-5*-5*sqrt(55)*-2 - (sqrt(660)/sqrt(192) - 6*sqrt(110)/sqrt(2)))/(((1*sqrt(350))/sqrt(10))/(sqrt(252) - (sqrt(252) - -3*sqrt(252)))). 1593*sqrt(11)/2 Simplify -5 + (-5 + 5 + sqrt(2448)*1)**2 + (-3 + sqrt(2448) + -4 + 0 + sqrt(2448) + sqrt(2448) + -5 + sqrt(2448))**2. -1152*sqrt(17) + 41755 Simplify (5 + -4*sqrt(1700)*-1 + 2 + 1*(sqrt(51)/sqrt(3)*3 - (sqrt(1700) + -1)))**2*3. 1584*sqrt(17) + 55731 Simplify (sqrt(400)/(sqrt(10) - (sqrt(250) - sqrt(10))))/(sqrt(200)*6) + 1 + -4 + -5 + (sqrt(5) - (sqrt(15) - sqrt(135) - sqrt(15))/sqrt(3)). -8 + 359*sqrt(5)/90 Simplify (-5 + (-2*(5 + sqrt(2448) + sqrt(2448) + 1 + (sqrt(2448) - (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + -2)))*-3)) + -4 + 3)*2)**2. 31680*sqrt(17) + 1413073 Simplify 3 + (sqrt(6048)*-2 + 6*sqrt(168)/sqrt(4))/((sqrt(6) + 2*sqrt(48)/sqrt(8))*6). -sqrt(7) + 3 Simplify -1 + ((2*sqrt(168))/sqrt(4) - sqrt(42))/(-2*sqrt(96)) + (2*sqrt(2800))/(2*sqrt(4)*-1 + sqrt(4)). -161*sqrt(7)/8 - 1 Simplify (((sqrt(110) - -3*(sqrt(110) - sqrt(110)*2)) + -5*2*sqrt(110))/(sqrt(250)*1*-4 + sqrt(250)) + 3)**2. 24*sqrt(11)/5 + 401/25 Simplify (-4*((-5*(sqrt(1900) - 2*sqrt(1900)) - (1*sqrt(1900) + -3)) + 0 + 3 + sqrt(1900)*1 + 2))**2. 12800*sqrt(19) + 761024 Simplify (6*(sqrt(750)*2 + sqrt(750) + sqrt(90)/sqrt(3)*-2))/((5*sqrt(100)*2 + sqrt(100))/(sqrt(810)*-2)). -1404*sqrt(3)/11 Simplify 4 + ((sqrt(70) - sqrt(70)*-3)*-6)/(-2*sqrt(90)) + (sqrt(700)*-1*-2*-2)**2. 4*sqrt(7) + 11204 Simplify (-2*(-5*sqrt(170)*2 - ((sqrt(170) + sqrt(170)*-2 - sqrt(170))*-4 - sqrt(170))))/((sqrt(1000) - -1*(sqrt(1000) + 2*sqrt(1000) - sqrt(1000)))*-2). -17*sqrt(17)/30 Simplify (5*(sqrt(1944) - 5*sqrt(1944)*2))/((sqrt(588) + 5*2*sqrt(588) + sqrt(588))*-2). 135*sqrt(2)/56 Simplify (0 + (sqrt(245) - sqrt(5)))**2 + (sqrt(360)/sqrt(8))/sqrt(9) - ((sqrt(405) + 0 + sqrt(405))*1)**2*3. -4680 + sqrt(5) Simplify 3 + ((sqrt(768) + 2)*-5 - sqrt(768)*-3*-4)**2 + -1. 5440*sqrt(3) + 222054 Simplify ((2 + (sqrt(180) - (-5 + sqrt(180) + 2))*2 + (-1*sqrt(180) + 2 - (-1*sqrt(180) + 4)))*1)**2. 36 Simplify (3 + (sqrt(104)/sqrt(2))/sqrt(4) + -1 + sqrt(468))**2 + (2 + sqrt(1053))*6 + 2*sqrt(1053) + 4 + -4. 100*sqrt(13) + 653 Simplify (sqrt(396)/(sqrt(12) + sqrt(108)) - (sqrt(33) + sqrt(528))*5)/(sqrt(225)/sqrt(3) + (sqrt(3) - sqrt(24)/sqrt(200))). -495*sqrt(11)/116 Simplify (-2*sqrt(88)/(sqrt(2) - 2*sqrt(162)))/(1*-2*sqrt(72)/sqrt(2)). -sqrt(11)/51 Simplify (sqrt(1100) + 2 + -1)**2*-1 + -1 + (-2*sqrt(1100) + -5 - (sqrt(1100) + (sqrt(1100) - sqrt(1100)*-3)**2 + -2)). -18705 - 50*sqrt(11) Simplify (6*((-4*sqrt(1216) - sqrt(1216)) + -4 + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + 2*sqrt(1216) + sqrt(1216)))) + -3 + 1) + -5)**2. 3936*sqrt(19) + 45457 Simplify 3*(-4 + (-6*(sqrt(108) + 0 + -5))**2 + ((-6*-2*sqrt(108))**2 - (sqrt(108) - (sqrt(108) + -1*sqrt(108) + -3)))). -6498*sqrt(3) + 60999 Simplify (1*(3 + 6*sqrt(112)*1 + (1 + sqrt(112) + 0 - (2*-3*sqrt(112) - sqrt(112)))))**2*-4. -87872 - 1792*sqrt(7) Simplify (sqrt(1584) - (sqrt(1584) + (sqrt(1584) + 2)*3))**2 + sqrt(1584) + ((-3 + sqrt(1584))*-6)**2 - ((3 + sqrt(539))*-2 + 2*(sqrt(539) + sqrt(539) + -1)). -2162*sqrt(11) + 71648 Simplify (sqrt(80)*-2*4 + sqrt(80))/(3*(sqrt(10) - (sqrt(10) - (4*sqrt(10) + sqrt(10))))) + 3. -14*sqrt(2)/15 + 3 Simplify 1 + (-1*sqrt(272)*-4 + -2*((sqrt(272) - 2*sqrt(272)) + sqrt(272)) + -4 - (1 + (1 + (sqrt(272) - sqrt(272)*1 - sqrt(272) - sqrt(272)))*6))**2. -1408*sqrt(17) + 69754 Simplify (3*(sqrt(180)*2 + sqrt(180))/sqrt(3)*-3)/(-2*sqrt(12)*5 + sqrt(36)/(sqrt(3)*3)). 81*sqrt(5)/29 Simplify (-4 + -4 + (sqrt(125) - (sqrt(125) + sqrt(125) + -1)) + (sqrt(125) + 0)*-5 - (1 + sqrt(35)/(sqrt(1008)*2) + -1))**2. 5047*sqrt(5)/12 + 2627429/576 Simplify -1 + (1*-2*(sqrt(147)/(sqrt(42)/sqrt(96)))/((sqrt(30) - sqrt(1920)*-2)/sqrt(10)))**2*-5. -2529/289 Simplify -5*(4 + -3 + -3*(sqrt(468) + 1 + sqrt(468) + -1)*2)**2*5. -1684825 + 3600*sqrt(13) Simplify -4 + (-4*(sqrt(4050)*-2 - sqrt(4050)))**2 + 2 + -1 + sqrt(4050) + -2*sqrt(4050) + -5. -45*sqrt(2) + 583192 Simplify 1 + ((1*sqrt(104)*2)/(-3*sqrt(128)) - (-2 + 1 + sqrt(1872) + sqrt(1872) + -2)). -145*sqrt(13)/6 + 4 Simplify 3*(-5 + 4*(5*(sqrt(2299) + (sqrt(2299) - (sqrt(2299)*3 + sqrt(2299)))) - sqrt(2299))*-1)**2 + -2. -14520*sqrt(19) + 13352665 Simplify ((sqrt(216)/sqrt(96))/(sqrt(96)/sqrt(2)))**2 + sqrt(9)/(sqrt(27)/sqrt(9)) + -3*(-2 + sqrt(3)). -2*sqrt(3) + 387/64 Simplify ((sqrt(220)*-3)/sqrt(4) + 1*sqrt(2695))/(((sqrt(220) - (sqrt(220)*1 - sqrt(220)) - sqrt(220)) + sqrt(55))/(sqrt(44)/(sqrt(4) - sqrt(36)))) + 0. -2*sqrt(11) Simplify (-6*-1*(-6*3*(sqrt(128) + -2 + sqrt(128) + sqrt(128)) - ((sqrt(128) + 3)*2 + -5)))**2. -1128960*sqrt(2) + 14494788 Simplify (-3 + sqrt(17)*-1 - (sqrt(17)*1 + -4)) + 1 - (3 + (sqrt(1088) + 0 + 1)**2). -1090 - 18*sqrt(17) Simplify ((2*sqrt(190)*-2 - sqrt(190) - sqrt(190) - (sqrt(190) + (sqrt(190)*1 - sqrt(190))*-1))*6)/((1*sqrt(280)*-6)/sqrt(7)). 7*sqrt(19)/2 Simplify (sqrt(396) + 2*(sqrt(396) + 0) + -4*(sqrt(396) + 0 - sqrt(396)))**2 - (-2 + sqrt(396)*3*4 + -1)**2. -53469 + 432*sqrt(11) Simplify -1 + (-1 + (1*sqrt(704))**2 + sqrt(704) + 5 - (0 + (-3 + sqrt(176))*-2)). 16*sqrt(11) + 701 Simplify ((1 + sqrt(2450))*2 + 0 + -3*(4 + (sqrt(2450)*-2 - sqrt(2450)) - sqrt(2450)))**2. -9800*sqrt(2) + 480300 Simplify 5*(((sqrt(75) - 1*sqrt(75))*2 - (-1 + sqrt(75) + -2)) + sqrt(24)/(sqrt(2) - sqrt(8) - sqrt(2)) + 1)**2. -240*sqrt(3) + 620 Simplify (((sqrt(686) - 2*sqrt(686)*6) + 4*(sqrt(686)*1 + sqrt(686)))/(2*sqrt(567)*-2*3))**2. 49/648 Simplify ((sqrt(315) - -5*(sqrt(315) - (5*sqrt(315) + sqrt(315))) - sqrt(315))/(1*sqrt(540)/sqrt(12)))**2. 4375 Simplify (3 + -2*sqrt(80))*-1 + (5*-6*-2*sqrt(5)*6)**2. 8*sqrt(5) + 647997 Simplify 2 + (1*(sqrt(700)*2)**2 - (1 + (sqrt(700) - (3 + sqrt(700))))**2) + -1 + 1. 2798 Simplify (-3 + 3*(1 + sqrt(832))*-4)**2 + -2*sqrt(832)*-2 + (1 + -5 + sqrt(832))**2. 2848*sqrt(13) + 120881 Simplify (5 + 6*sqrt(153)*1 + (sqrt(153) - (-1 + sqrt(153))*5 - (sqrt(153) + (sqrt(153)*-1 - sqrt(153))*5)) - (-4 + 3*(5 + 2 + sqrt(153) + 2*sqrt(153))))**2. -84*sqrt(17) + 661 Simplify (((sqrt(117)*-2)/sqrt(9) - (sqrt(637) - sqrt(637)*2))**2 - -4*1*sqrt(1300)*1) + -1. 40*sqrt(13) + 324 Simplify 2*(sqrt(36)/(sqrt(36)/sqrt(3)) + 1) - (2 + sqrt(363) - -5*sqrt(24)/sqrt(8)). -14*sqrt(3) Simplify (5 + -5 + -1 + -2*(sqrt(3) - 1*sqrt(3)))**2 + ((sqrt(3) - -2*sqrt(363) - (sqrt(3) + 0)*6)**2 + 5)*-5. -4359 Simplify (-3*2*(2*(sqrt(256) + sqrt(256)*-1) - sqrt(256)))/((2*sqrt(96)*4)/(sqrt(12) + sqrt(48)/sqrt(4)*2)). 9*sqrt(2) Simplify -1*-5*((sqrt(320)*-2 + -5)*1 - -2*(-1*sqrt(320) + 5))**2. -1600*sqrt(5) + 25725 Simplify 2*(2*1*sqrt(1715))/((sqrt(63) + (sqrt(63) + 2*sqrt(63) - sqrt(63)))/sqrt(9)*4). 7*sqrt(5)/3 Simplify (sqrt(1275) - -1*sqrt(1275) - sqrt(1275) - (sqrt(1275) + (sqrt(1275) - -2*sqrt(1275)) - sqrt(1275)))/((sqrt(3) - sqrt(15)/sqrt(5)*3) + 1*sqrt(48)). -5*sqrt(17) Simplify (sqrt(12)/(sqrt(64)/sqrt(8))*-4)/((sqrt(108)/(sqrt(12)/sqrt(3)))/(sqrt(99)/sqrt(44))). -sqrt(2) Simplify 5*(-1 + ((-3*sqrt(891) + 5)**2 - sqrt(891)) - ((sqrt(891)
{ "pile_set_name": "DM Mathematics" }
common denominator of -29/1736 and -29/645296? 4517072 What is the smallest common multiple of 716960 and 53772? 2150880 What is the least common multiple of 16944 and 19062? 152496 What is the lowest common multiple of 121845 and 194952? 974760 What is the lowest common multiple of 3384 and 83472? 250416 Calculate the lowest common multiple of 158144 and 11296. 158144 Calculate the smallest common multiple of 2176 and 170. 10880 Find the common denominator of -53/277512 and 51/44. 3052632 Calculate the common denominator of 119/6204 and 109/4620. 217140 Find the common denominator of -127/18326 and 113/3978. 2144142 Calculate the common denominator of 18/23765 and 79/315735. 2210145 What is the common denominator of -37/22 and -24/20647? 41294 Calculate the least common multiple of 20700 and 1350. 62100 Calculate the smallest common multiple of 53820 and 269100. 269100 Calculate the lowest common multiple of 40300 and 2015. 40300 What is the least common multiple of 16 and 58648? 117296 What is the lowest common multiple of 12000 and 468? 468000 Find the common denominator of 7/207 and 113/12. 828 Calculate the lowest common multiple of 9945 and 29835. 29835 What is the common denominator of 143/348 and -3/3596? 10788 What is the common denominator of 139/12 and -13/10? 60 What is the smallest common multiple of 7 and 249770? 1748390 Calculate the common denominator of 24/38533 and 143/21018. 231198 Find the common denominator of -53/23506 and 101/18032. 1316336 What is the smallest common multiple of 21 and 2409? 16863 Calculate the common denominator of -137/17676 and -43/39771. 159084 Find the common denominator of -179/39540 and 91/30. 39540 Calculate the smallest common multiple of 262912 and 598. 6046976 What is the least common multiple of 119979 and 746536? 6718824 Find the common denominator of 11/48 and 3/2488. 14928 Calculate the common denominator of 39/6265 and -83/56385. 56385 Calculate the least common multiple of 70 and 485660. 485660 What is the common denominator of 10/33 and 25/19317? 212487 Calculate the common denominator of 52/77 and 25/10659. 74613 Calculate the smallest common multiple of 4600 and 528. 303600 Calculate the common denominator of 119/36594 and -46/6099. 36594 Calculate the lowest common multiple of 28077 and 18718. 56154 What is the common denominator of -17/1168146 and 31/13797? 3504438 Find the common denominator of -11/3843 and 109/25620. 76860 What is the least common multiple of 24472 and 207? 220248 What is the lowest common multiple of 6 and 24117? 48234 Find the common denominator of 32/29 and -5/4527. 131283 What is the smallest common multiple of 11232 and 36? 11232 Find the common denominator of -107/13866 and -47/12. 27732 What is the common denominator of 109/5637918 and 97/2? 5637918 What is the lowest common multiple of 42285 and 1? 42285 Calculate the lowest common multiple of 42 and 11550. 11550 What is the common denominator of 91/1880 and 29/142175? 1137400 Calculate the common denominator of -143/1022430 and -23/11820. 2044860 Find the common denominator of 157/6000 and 57/200. 6000 What is the lowest common multiple of 25179 and 33? 25179 Find the common denominator of -41/313 and 37/4069. 4069 Find the common denominator of -21/5035 and 123/1670. 1681690 Find the common denominator of 103/907348 and 121/10. 4536740 What is the lowest common multiple of 35397 and 1710? 353970 What is the common denominator of 6/12169 and -99/182? 2214758 What is the least common multiple of 7047 and 378? 98658 Calculate the common denominator of 127/354 and 25/54. 3186 Find the common denominator of 101/18270 and 11/45. 18270 Calculate the smallest common multiple of 60870 and 30435. 60870 Calculate the common denominator of -69/536 and -37/31356. 62712 What is the common denominator of -47/15239 and -13/30478? 30478 Calculate the lowest common multiple of 6800 and 81600. 81600 What is the smallest common multiple of 1030 and 6? 3090 Calculate the common denominator of 83/72 and -83/77406. 928872 What is the common denominator of 69/170 and 79/14790? 14790 Calculate the least common multiple of 3204 and 442. 708084 Calculate the lowest common multiple of 195721 and 174. 1174326 Calculate the least common multiple of 19010 and 16. 152080 Find the common denominator of 43/1474 and 65/1104. 813648 Calculate the common denominator of 29/1672719 and -74/33. 18399909 Find the common denominator of 17/8 and -33/116894. 467576 What is the common denominator of 18/5 and -6/846275? 846275 Find the common denominator of 79/37540 and 32/103235. 412940 What is the least common multiple of 18 and 537681? 3226086 Find the common denominator of -59/1240 and 143/90. 11160 Find the common denominator of -85/106864 and 73/704. 4702016 What is the smallest common multiple of 1192 and 116518? 466072 Find the common denominator of 23/14535 and 43/31977. 159885 Calculate the lowest common multiple of 6534 and 30. 32670 Calculate the smallest common multiple of 797241 and 42. 11161374 Calculate the least common multiple of 70007 and 219. 210021 Calculate the common denominator of -49/428860 and -67/1312. 3430880 Calculate the common denominator of 51/44161 and -33/316. 176644 Calculate the smallest common multiple of 2670 and 10. 2670 Calculate the smallest common multiple of 18 and 22926. 68778 Calculate the lowest common multiple of 2144 and 50. 53600 Find the common denominator of 43/601 and -38/821. 493421 What is the common denominator of 125/25428 and -33/260? 127140 Calculate the smallest common multiple of 32 and 902772. 7222176 Find the common denominator of 57/204328 and 25/76623. 612984 What is the lowest common multiple of 6036 and 51306? 102612 What is the least common multiple of 72 and 21069? 168552 What is the least common multiple of 5005 and 165165? 165165 What is the least common multiple of 1808390 and 8? 7233560 What is the least common multiple of 59832 and 738? 2453112 Calculate the smallest common multiple of 1036 and 164. 42476 What is the least common multiple of 24850 and 3500? 248500 What is the smallest common multiple of 546 and 160? 43680 What is the least common multiple of 2515 and 2012? 10060 Calculate the least common multiple of 329104 and 4. 329104 Calculate the smallest common multiple of 27639 and 5229. 193473 Find the common denominator of -69/20 and 55/28044. 140220 Calculate the least common multiple of 914 and 49356. 49356 Find the common denominator of 151/378 and 29/1267. 68418 Find the common denominator of 51/19679 and -10/84083. 924913 Calculate the least common multiple of 197757 and 5037. 4548411 What is the lowest common multiple of 8 and 2087? 16696 Calculate the lowest common multiple of 317560 and 833595. 6668760 What is the common denominator of 43/328168 and 47/2794? 3609848 Calculate the common denominator of 64/507423 and 80/21. 507423 Calculate the least common multiple of 3840 and 8320. 49920 Calculate the smallest common multiple of 12 and 61755. 247020 What is the least common multiple of 2842 and 42? 8526 What is the least common multiple of 18162 and 90810? 90810 What is the smallest common multiple of 16320 and 480? 16320 What is the lowest common multiple of 3198 and 656656? 1969968 Calculate the common denominator of 53/12 and -21/4537. 54444 Find the common denominator of -64/65 and -3/58870. 765310 Calculate the common denominator of 59/130208 and 43/24414. 390624 What is the smallest common multiple of 350 and 6440? 32200 What is the common denominator of 9/1814 and -97/18140? 18140 What is the smallest common multiple of 20592 and 264? 20592 Calculate the least common multiple of 486 and 270. 2430 What is the common denominator of 73/61623 and -11/7515? 308115 Calculate the smallest common multiple of 14 and 40222. 40222 Find the common denominator of 59/25440 and 43/360. 76320 Calculate the lowest common multiple of 33972 and 14. 237804 Calculate the common denominator of -77/524 and 173/1123980. 1123980 What is the smallest common multiple of 10858 and 38003? 76006 What is the smallest common multiple of 54 and 5850? 17550 Calculate the common denominator of -67/149016 and 31/24. 149016 What is the least common multiple of 30240 and 34020? 272160
{ "pile_set_name": "DM Mathematics" }
36. Suppose 51803 = v*w - 20197. Let l be (8/10)/(8/w). Round l to the nearest one thousand. 1000 Let s = -0.444 + -0.086. Let y = s + 0.404. What is y rounded to two decimal places? -0.13 Let q = -5.27 + 4.76. Round q to the nearest integer. -1 Let p = -19.7 - -18. Let j = p - -1.662. What is j rounded to 2 dps? -0.04 Let j = -2.12 - -2.1222. What is j rounded to 3 dps? 0.002 Let l = -8069 - -7939.29. Round l to the nearest 10. -130 Let n = 20 + -9. Suppose -n*h - 6308919 - 7331081 = 0. What is h rounded to the nearest one hundred thousand? -1200000 Let k = -641626 - 467374. What is k rounded to the nearest 1000000? -1000000 Let y = -2151.995451 - -2152. Round y to four dps. 0.0045 Let w = -41.56284 - -96.56366. Let t = w + -55. What is t rounded to four dps? 0.0008 Let z = 12328.724 - 12268. Let b = -1.176 - z. Round b to the nearest ten. -60 Let k = -4 - -7. Let p be (3 - 1 - k) + 420. Suppose -q + 5*l - p = -3*q, -3*q - 3*l = -615. What is q rounded to the nearest 10? 200 Let i = 24 - 23. Let y be i + 1841 - (-11)/((-11)/2). What is y rounded to the nearest 100? 1800 Let w be (441/18)/7*(-8760)/(-3). Round w to the nearest 100. 10200 Let o = 199.2 - 179. Let i = 24.35 - o. What is i rounded to one decimal place? 4.2 Let r = 114.614 + -114.560021. Let m = r + -0.054. Round m to five dps. -0.00002 Let b = -1110.1 - -1201. Round b to the nearest integer. 91 Let w(u) = -u**3 + 9*u**2 - 4*u - 7. Let g be w(6). Let o be (-14)/g - 87322/(-22). Let h = o + 31. What is h rounded to the nearest 1000? 4000 Let i = 0.1594 - 0.159414275. What is i rounded to six decimal places? -0.000014 Let m = 0.061 + -0.299. Let f = 899.062 + -917.4. Let z = f - m. Round z to the nearest integer. -18 Let a = -350.531 - 0.469. Let o = 383.2 + a. Round o to the nearest integer. 32 Let v be -4 + 4 - (1 - 1318). Suppose y + 1713 = -v. What is y rounded to the nearest 100? -3000 Let j = 0.47 - 0.470075. What is j rounded to 5 decimal places? -0.00008 Let p = 20806070896.99999929 + -20806071004. Let k = p - -107. Round k to seven dps. -0.0000007 Let b = -0.432 + 0.169. Let q = 0.262893 + b. What is q rounded to five decimal places? -0.00011 Let v = 0.073 + -0.070592. What is v rounded to 4 decimal places? 0.0024 Let z be (-12)/(-5)*(-33 - 8)*175. What is z rounded to the nearest one thousand? -17000 Let j = 0.037 + -0.03657. Round j to five dps. 0.00043 Let l = 12911090358.980009 + -12911097646. Let v = l + 7286.9. Let g = 0.12 + v. What is g rounded to six decimal places? 0.000009 Let x(c) = 408678*c + 254. Let a be x(7). Round a to the nearest 10000. 2860000 Let j(x) = 3*x**3 - 3*x**2 - 3*x - 3. Let g be j(5). Let k(z) = 371 - 2*z - 263 + g. Let u be k(0). Round u to the nearest one hundred. 400 Let h(k) = 5519*k + 20. Let b(c) = 8279*c + 30. Let v(f) = 5*b(f) - 7*h(f). Let d be v(-5). What is d rounded to the nearest 1000? -14000 Let w = -8763626 - 14916374. Round w to the nearest one million. -24000000 Let h = 0.710095 - 0.71. What is h rounded to 5 decimal places? 0.0001 Let a = -1483 + 1482.999998565. What is a rounded to 6 decimal places? -0.000001 Let c = -0.13 - -19.13. Let z = -33419.4969 - -33400.5. Let l = c + z. Round l to three decimal places. 0.003 Let x = -85484015.69999967 - -85484005.7. Let u = -2 + 12. Let z = u + x. Round z to 7 dps. 0.0000003 Let r = -98.74912 - -98.6. Let k = 3.2 + -3.35. Let o = k - r. What is o rounded to four dps? -0.0009 Suppose -8*v = -13*v - 35. Let m = 1 + v. Let j = m + 5. Round j to the nearest 10. 0 Let m = 167 - 355. Let y = m - -264. Let h = y - 76.000043. What is h rounded to five dps? -0.00004 Suppose -10 = -f + 3. Let y = f + -9. Suppose -5*h - 3*b + 3199988 = b, y*b = 2*h - 1280012. Round h to the nearest 100000. 600000 Let j = 0.899 - 0.315. Round j to two dps. 0.58 Let i = 1.7 + -2. Let b = i - -0.17. Let k = -0.12998 - b. What is k rounded to four dps? 0 Let i = 1.900000937 - 1.9. What is i rounded to seven decimal places? 0.0000009 Let z = -0.07 - 0.43. Let h = z + 0.49999982. Round h to 7 dps. -0.0000002 Let u = 138.466 - -1736.55. Let c = u - 1862. Let k = -13 + c. What is k rounded to 3 decimal places? 0.016 Let d = -52.99506 + 53. What is d rounded to 3 dps? 0.005 Let q be -180*(-420 - -2 - -8). Round q to the nearest 100000. 100000 Let i be 18320*(-9)/((-72)/40). What is i rounded to the nearest ten thousand? 90000 Let w = 0.2383 - 0.237. What is w rounded to 3 decimal places? 0.001 Suppose -3*h + 23800 = -2*h. What is h rounded to the nearest 10000? 20000 Let w = -0.046 + 0.016. Let y = -4.5665 - 0.1035. Let q = w + y. Round q to 0 dps. -5 Let v = 0.18688 + -0.536926. Let f = 0.35 + v. Round f to 5 decimal places. -0.00005 Suppose -4*a + 0 = -8. Suppose a*d = 5*d - 12. Let l be (2 + d)*3000/9. What is l rounded to the nearest ten thousand? 0 Let b(v) = -6800000*v**3 + v**2 - v. Let d(y) = -y + 12. Let l be d(11). Let w be b(l). What is w rounded to the nearest 1000000? -7000000 Let x = 26.10000504 + -26.1. What is x rounded to 6 dps? 0.000005 Let t be 1*(26 + (3 - 5)). Suppose 3*w = -u + 4 + 2, -t = -4*u - 5*w. Let h = u + 7. What is h rounded to zero dps? 13 Let x = 212.9526 - 213. Round x to three dps. -0.047 Let q = -13.29 + 13. Let s = -0.289939 - q. Round s to five dps. 0.00006 Let j = 136.8155 + 0.2845. Round j to the nearest 10. 140 Let b be -2 + (9/3 - -3). Suppose -j - b*j + 9999990 = v, 0 = 2*v - j - 20000002. Round v to the nearest one million. 10000000 Let m = 428.82 + -433.6294. Let s = 4.8 + m. Round s to 3 decimal places. -0.009 Let l be 30/12*2 - (-800995)/1. Round l to the nearest 100000. 800000 Let y = 11 + -9. Suppose 6*r - 12 = y*r, 3*s - 4*r = 97230. Suppose -4*p - s - 11586 = 0. What is p rounded to the nearest 10000? -10000 Let q = 97.49 - -0.51. Let w = -98.00101 + q. What is w rounded to four dps? -0.001 Let g = 0.05540571 - 20810.60340571. Let t = g - -21224.548179. Let m = -414 + t. Round m to 5 decimal places. 0.00018 Suppose -9*r + 456 = 15*r. Let b be 43 - 1/(-2)*-2. Let p = r - b. Round p to the nearest ten. -20 Let h = -251.6994746 - -251.7. Round h to five dps. 0.00053 Let z(a) = 11530001*a**2 + 2*a - 3. Let b be z(1). Round b to the nearest 1000000. 12000000 Let s be (-1 + 4)/(15/(-157700)). What is s rounded to the nearest one thousand? -32000 Suppose -3*n + 11 = -46. Suppose s + 2*x - 1 = 0, 5*s - 3*x - x = n. Let p be -11098 - (-1 - s - -6). Round p to the nearest one thousand. -11000 Let h = -7 - -6.81. Let x = 0.19000064 + h. Round x to seven dps. 0.0000006 Let f(n) be the third derivative of n**5/30 + n**4/24 - 2*n**3/3 - n**2. Suppose -21 = -6*y + 13*y. Let t be f(y). What is t rounded to the nearest 10? 10 Let a = -0.297 + 0.29768. Round a to 4 dps. 0.0007 Let j = 18 - 12. Suppose -f - x + 20500020 = -j*x, 2*f = -3*x + 40999988. Round f to the nearest one million. 21000000 Let n = -187 - -402. Let w = -215.0000151 + n. Round w to 6 decimal places. -0.000015 Let f = -88 + 88.0000885. Round f to 5 decimal places. 0.00009 Let f = -483888 + 807161. Let y = f + -95258. Suppose -3*c - 2*c = 5*h - 1140025, -h = 3*c - y. What is h rounded to the nearest 10000? 230000 Let q = 2702095.635263364366 + 6.222730335634. Let p = q + -2702102. Let z = p + 0.142. Round z to 6 decimal places. -0.000006 Let v = 22745528.39000046 - 22745528. Let o = 54 + -54.39. Let k = v + o. What is k rounded to 7 dps? 0.0000005 Let n = 5.188 - 5.213148. Let l = n - -0.025. What is l rounded to 5 decimal places? -0.00015 Let m = 1.77 - 1.405. Let q = m + -0.3. Let z = q - 0.06626. Round z to four decimal places. -0.0013 Suppose -16000025 = 5*o + 5*n, -2*n - 12800010 = 10*o - 6*o. What is o rounded to the nearest 1000000? -3000000 Suppose 0 = -3*b - 38 + 224. Let i(y) = -3*y + 18. Let m be i(5). Suppose -24 = p - 3*l, -m*p + l - b = 2*l. Round p to the nearest ten. -20 Let a = 0.028 - 0. Let f = 0.036 - a. Round f to 3 dps. 0.008 Let g = -157 - -79. Let x = -77.999918 - g. What is x rounded to five decimal places? 0.00008 Let t = 1448.997402 - 1449. Round t to three dps. -0.003 Let p(j) = -j**2 - 10*j - 9. Let w be p(-8). Let q(l) = 106998*l**3 - 7*l**2 + 5*l - 6. Let z be q(w). What is z rounded to the nearest one million? 37000000 Suppose -u + 6*u - 8 = t, 5*u = -5*t + 20. Suppose -986 - 1374 = u
{ "pile_set_name": "DM Mathematics" }
5/270662006 Calculate 459162942 divided by -153054314. -3 Calculate 155757840 divided by 3045. 51152 -138684572 divided by -18668 7429 -4424572 divided by -146 2212286/73 What is 116 divided by -1688360? -29/422090 -1758 divided by 99348 -293/16558 Calculate -56780834 divided by -56780834. 1 Calculate -5127960 divided by 42733. -120 What is 9414874 divided by 35798? 263 -8478770 divided by 8741 -970 Divide -9268 by -2188. 2317/547 Divide -33350460 by -780. 42757 What is -310955 divided by -5099? 310955/5099 Divide 298645904 by 2. 149322952 What is 5261 divided by 2852? 5261/2852 1783364 divided by 22 81062 -12249086 divided by -6124543 2 Divide -1495 by -50657. 1495/50657 What is -4 divided by -2154899? 4/2154899 Divide -37 by 29148. -37/29148 Calculate -854496 divided by -8. 106812 Calculate 5873583 divided by -47. -5873583/47 Divide 328861 by 8. 328861/8 Calculate 5 divided by -23203846. -5/23203846 What is 10393515 divided by 5? 2078703 What is -11893 divided by 410? -11893/410 Calculate -24428340 divided by -12. 2035695 Calculate 1 divided by -58603514. -1/58603514 Divide 103118 by -1. -103118 What is 9472740 divided by -139305? -68 -512701 divided by -125 512701/125 What is -4447845 divided by 141? -31545 What is 73 divided by -2903143? -73/2903143 Calculate -4010 divided by -175. 802/35 Divide -2368413 by 6. -789471/2 Divide -7442 by 5111. -7442/5111 What is -645069 divided by 8? -645069/8 Divide -372 by -72260. 93/18065 Divide -3118761 by -3. 1039587 Divide -23173108 by 65093. -356 181193760 divided by 1258290 144 -541196961 divided by -3 180398987 -1591 divided by 369656 -1591/369656 536986301 divided by -10131817 -53 -553014 divided by 66 -8379 -873554 divided by 436777 -2 0 divided by -63915491 0 Divide 3160 by -195530. -316/19553 Calculate -19110490 divided by -10. 1911049 What is -122046 divided by 22? -61023/11 Divide 18626 by 4925. 18626/4925 Calculate -5 divided by -12578658. 5/12578658 Calculate 4 divided by -5381776. -1/1345444 What is 426752610 divided by 6? 71125435 9820630 divided by 1 9820630 Calculate -59059628 divided by 59059628. -1 What is 7 divided by 5979284? 7/5979284 Divide -28848687 by 1497. -19271 Divide 6489749 by -1211. -5359 What is 4374048 divided by -2208? -1981 Divide -2 by 5940302. -1/2970151 Divide -913 by -1156716. 83/105156 Calculate -87514390 divided by -17502878. 5 -147210531 divided by 39183 -3757 Calculate -16 divided by 459073. -16/459073 Calculate 13268335 divided by 235. 56461 What is -270 divided by 406017? -30/45113 Calculate 171195129 divided by -171195129. -1 Calculate 943744 divided by -4. -235936 -206658340 divided by 41331668 -5 Divide -2605099 by 1189. -2191 18197840 divided by -2 -9098920 1006272 divided by -111808 -9 1317860 divided by -524 -2515 What is 39524940 divided by 35? 1129284 41513052 divided by -4677 -8876 Divide 131391480 by 33. 3981560 Divide 6204966 by -2. -3102483 -36468 divided by -3557 36468/3557 What is -11336382 divided by 3778794? -3 What is -4654700 divided by 5230? -890 Calculate 65506260 divided by -4. -16376565 Divide -107771 by 347. -107771/347 -29646179 divided by 3 -29646179/3 Calculate 7 divided by 34464150. 1/4923450 -9356 divided by 2489 -9356/2489 Divide -21836638 by -542. 40289 Divide -501 by -116472. 167/38824 632 divided by -306888 -79/38361 Divide -3958048 by -5. 3958048/5 Divide -444307248 by -545832. 814 Divide -60305 by -415. 12061/83 Calculate -50754235 divided by -3. 50754235/3 Calculate 2 divided by 2832090. 1/1416045 Divide -429378204 by -6. 71563034 Calculate 1999 divided by -191492. -1999/191492 29494284 divided by 6 4915714 Calculate 5669 divided by 32079. 5669/32079 Divide -2439223 by -2. 2439223/2 Calculate 52783130 divided by 1. 52783130 What is -28505335 divided by 1? -28505335 Divide 11896560 by -72540. -164 404146895 divided by -80829379 -5 What is -1601 divided by 323? -1601/323 What is 16345963 divided by -6? -16345963/6 Divide -20389152 by 121364. -168 Calculate 2 divided by -224476. -1/112238 What is -231272 divided by 253? -231272/253 Divide -433867782 by 2. -216933891 What is -21574224 divided by -42806? 504 Calculate 819359560 divided by 259291. 3160 Divide 13111956 by 22074. 594 15 divided by 281979 5/93993 Calculate -1517310 divided by -38. 758655/19 Divide 5 by -4497128. -5/4497128 Divide 213 by 606385. 213/606385 -145785420 divided by -66660 2187 What is -61473825 divided by 15? -4098255 -10665720 divided by -5512 1935 Divide 9822656 by 2. 4911328 Divide -16 by -1136296. 2/142037 Divide -159296760 by 838404. -190 Divide 62712408 by 5701128. 11 What is 16324893 divided by 96597? 169 Calculate -172 divided by -5697. 172/5697 Divide 5910840 by 156. 37890 What is -268910056 divided by 67227514? -4 What is 288151328 divided by 4? 72037832 Divide 6858062 by -110. -3429031/55 280414818 divided by -93471606 -3 Calculate -6413 divided by -1610. 6413/1610 Divide 1580478 by 11. 1580478/11 Divide 17918636 by 308942. 58 -4821697 divided by 209639 -23 -17865384 divided by -4 4466346 Divide 0 by 20791821. 0 Divide -325288 by -27. 325288/27 What is -12012116 divided by -4? 3003029 Calculate 2 divided by 2252559. 2/2252559 59306 divided by -1408 -29653/704 What is -35075520 divided by 7692? -4560 5 divided by 11633504 5/11633504 Divide -35709924 by -8927481. 4 -347347743 divided by -2 347347743/2 3404648 divided by -3446 -988 43808935 divided by -47 -932105 What is 38241782 divided by 6? 19120891/3 Divide -8 by -2999731. 8/2999731 Divide 15336745 by 6. 15336745/6 4784 divided by -1117 -4784/1117 What is 5 divided by 9712521? 5/9712521 Calculate -3 divided by 1401545. -3/1401545 What is 461 divided by -25954? -461/25954 What is -11334180 divided by -7926? 1430 Divide -365276689 by -6892013. 53 Calculate -104250 divided by 39. -34750/13 Divide 15772528 by 2. 7886264 What is -13954248 divided by -158571? 88 What is -1049195 divided by 58? -1049195/58 Calculate -54311779 divided by 54311779. -1 6836928 divided by 2278976 3 Calculate -144745248 divided by -144745248. 1 Divide 19 by -589467. -19/589467 3 divided by -6107620 -3/6107620 Calculate 150828439 divided by 7459. 20221 What is -3332746 divided by 72451? -46 What is 2143 divided by -74469? -2143/74469 Divide -381730740 by -19590. 19486 27208055 divided by 3886865 7 Divide 736 by 2431. 736/2431 -718609763 divided by 14761 -48683 214614 divided by 6 35769 3606330 divided by 277410 13 What is 0 divided by -7254? 0 Divide 42253200 by 320100. 132 Divide -84220755 by 28073585. -3 7082115 divided by -6 -2360705/2 Calculate 9 divided by 134491. 9/134491 Calculate -4936959 divided by -548551. 9 Divide 23587203 by -3. -7862401 -10250896 divided by -640681 16 What is 9707412 divided by -248908? -39 Divide 20088340 by -1252. -16045 Calculate 605085012 divided by 207. 2923116 54272256 divided by -6784032 -8 Divide -7309258 by 5027. -1454 Divide 270798159 by 23. 11773833 Calculate -2039428 divided by 86. -1019714/43 0 divided by -7011713 0 93893595 divided by -47783 -1965 Calculate 3782176 divided by -1448. -2612 What is -3060 divided by 529? -3060/529 Calculate 2559942 divided by -11. -232722 Calculate -47189597 divided by 7241. -6517 Divide -229176636 by -4. 57294159 Divide 3071215 by -58. -3071215/58 Calculate -2552 divided by 10525. -2552/10525 Calculate -17 divided by 5939210. -17/5939210 Calculate 110193112 divided by -8. -13774139 Divide -1653374 by -6. 826687/3 Divide -24412905 by 14751. -1655 What is -180128 divided by 416? -433 Calculate 664857488 divided by -166214372. -4 What is -731392882 divided by -1? 731392882 Divide -100451272 by -2. 50225636 Divide -15201130 by -1. 15201130 Divide 18283269 by -2. -18283269/2 What is -1318896492 divided by 4286? -307722 Divide -1395926 by -102. 697963/51 Divide -184602594 by 8391027. -22 What is -82475025 divided by -3? 27491675 Calculate -1181612 divided by -81. 1181612/81 Divide 37451245 by 23. 1628315 Divide -31955910 by 285. -112126 1772924 divided by -56 -443231/14 Divide 22022976 by -1159104. -19 Divide 324156426 by -9822922. -33 What is -3747 divided by 330? -1249/110 What is -235791 divided by 750? -78597/250 Divide -1474230 by -49. 1474230/49 Divide -24731196 by 2. -12365598 Divide -1208944683 by 3. -402981561 Calculate 34640 divided by -53
{ "pile_set_name": "DM Mathematics" }
d 5. 5 Let n be ((-18)/12)/(2/(-76)). Suppose -z - 2*z = -n. Calculate the highest common divisor of z and 57. 19 Let u(a) = -a + 15. Let y be u(0). What is the highest common divisor of 15 and y? 15 Let l = -4 + 4. Suppose -3*o - 12 = l, 4*o + 19 = 2*z - 57. Let m = -16 + z. What is the greatest common factor of 98 and m? 14 Suppose 0*l = -4*l + 4*s - 8, 0 = -2*s + 8. Suppose -j - a + 33 = 0, -2*j + 68 = l*a - a. What is the greatest common divisor of 7 and j? 7 Suppose 0 = 3*x - 7 - 2. Suppose -8 = -4*g, -x*g + 6*g = -3*o + 45. What is the highest common factor of 91 and o? 13 Let z be -1 + 1 - 2 - -18. Let j be (-63 - 2) + 0/2. Let l be (4/5)/((-26)/j). What is the greatest common factor of l and z? 2 Suppose -p = -11 - 22. What is the greatest common divisor of p and 3? 3 Suppose 3*l - 2*l = 13. Let h(o) = -o**2 + 10*o + 5. Let v be h(7). What is the highest common factor of l and v? 13 Let r(f) = f**3 - 17*f**2 - 12*f - 20. Let p be r(18). Calculate the greatest common factor of p and 22. 22 Let a = -19 - -60. Suppose -2*x = -5*p - a + 16, -3*p = 4*x - 63. What is the greatest common divisor of x and 5? 5 Let m = -8 - -27. Let p = m + -9. Suppose 0 = 3*g - 11 - p. Calculate the greatest common factor of 21 and g. 7 Suppose 3*p + 4*o = -4, -4*p = 5*o - o. Let u(w) = w**3 + 2*w**2 - 2*w. Let z be u(p). Calculate the highest common divisor of 22 and z. 22 Let x(d) = 2*d**3 - 3*d**2 + 9*d - 11. Let j be x(5). What is the highest common factor of j and 19? 19 Let z = 24 - 17. Suppose z = b + 2. Calculate the greatest common factor of b and 5. 5 Let s = 193 + -187. Let z(m) = -3*m - 3. Let o be z(-2). What is the greatest common factor of s and o? 3 Let g be (-15)/(-30) - (-575)/2. What is the greatest common divisor of 32 and g? 32 Suppose -2*l = 2*l - 308. Suppose 0 = 3*p - 14 - 19. Calculate the highest common divisor of p and l. 11 Let q(f) = 2*f**2 - 5*f + 8. Let o be q(-6). Let r = 7 + 3. Calculate the highest common factor of o and r. 10 Let c be ((-24)/(-7))/(1/14). What is the highest common divisor of 6 and c? 6 Let f be (-8)/6*(-675)/18. Let w = 3 - -3. Let d be w/(-2)*(-10)/3. What is the highest common factor of d and f? 10 Suppose -4 = 4*z + j - 16, -z - 2*j = -10. Suppose n = 3*i - 2*i - 25, z*n = 5*i - 128. Let w be 82/6 - 6/9. Calculate the greatest common divisor of i and w. 13 Suppose -2*p - 5*h = -16, 0*p + 32 = 4*p + h. Calculate the highest common divisor of 8 and p. 8 Suppose y - 65 = -5*q, 5*q - 50 = y + 15. Let p = -1 - -8. Let s be 184/p - (-2)/(-7). Calculate the highest common divisor of s and q. 13 Suppose 4*h - 27 - 5 = 0. What is the greatest common factor of 1 and h? 1 Let k = -21 - -18. Let q = 6 + k. What is the highest common divisor of q and 9? 3 Suppose 0 = 4*b - b. Suppose 0 = 3*c + 4*r + 161, -5*c - 2*r + 0*r - 273 = b. Let x = c + 94. Calculate the greatest common divisor of 26 and x. 13 Let m be -1 - 2 - (-82)/2. What is the greatest common divisor of 95 and m? 19 Let a = 34 + -52. Let g = a - -33. Let s = 13 - 7. What is the highest common divisor of g and s? 3 Let n be (-50)/(-18) - 8/(-36). Suppose -5*b - n*l + 305 = l, -2*b = 4*l - 110. What is the greatest common divisor of b and 26? 13 Let r(b) = b**2 - 3*b + 2. Let m be r(2). Suppose 3*x - 83 - 202 = m. Calculate the highest common divisor of x and 38. 19 Let t(q) = -2*q**3 - 3*q**2. Let s be t(-2). Suppose -2 = f - 6*f - s*x, 4*x = -4*f. Let o = 6 + f. What is the highest common divisor of 16 and o? 8 Let j be (-6)/(1/((-2)/3)). Suppose 158 = j*v + 46. Let s be (-47)/(-7) + 4/14. What is the greatest common factor of v and s? 7 Suppose 2*w - 5*a - 31 = 0, 0 = w - a - 3 - 11. Calculate the greatest common divisor of w and 143. 13 Let p be (-3)/(-2)*132/9. Let i = -8 + p. Suppose 0 = -3*d - 2 + i. Calculate the greatest common factor of d and 8. 4 Let r(y) = -y**2 - 10*y - 3. Let u be r(-3). What is the greatest common factor of 30 and u? 6 Let v be (1 - 2)*(7 + -8). Calculate the greatest common divisor of 2 and v. 1 Suppose 23 = 2*d + 3*j, -j - 63 = -2*d + 4*j. Let z = -100 + 31. Let b = z + 126. What is the greatest common divisor of b and d? 19 Suppose -36 + 9 = -3*a. Let d be (-2 - 1) + -2 + 1. Let h be ((-3)/(-2))/((-2)/d). What is the highest common factor of h and a? 3 Let g = -9 - -29. Calculate the greatest common divisor of 8 and g. 4 Let d = -5 - 0. Let c(q) = 2*q + 12. Let f be c(d). Calculate the highest common factor of f and 1. 1 Let g be (12/(-7))/((-1)/7). Let r = 0 + 18. Calculate the greatest common factor of r and g. 6 Let h be (-24)/(-2)*(-1)/(-2). Suppose 0 = -5*x + 25, -h*w + 4*x = -w - 80. What is the highest common divisor of 50 and w? 10 Let s be 0/(-6 - -1) - (-1 - 99). What is the greatest common divisor of s and 50? 50 Let q = -19 + 26. Let u(f) = 4*f - 6. Let j be u(q). Let n be 114/10 + 4/(-10). What is the greatest common divisor of n and j? 11 Let b be (-3)/6 + 86/(-4). Let f = b - -36. Let d(q) = 3*q**3 - 3*q**2 + 4*q - 6. Let w be d(4). What is the highest common factor of f and w? 14 Suppose -7*m + 45 = -39. What is the greatest common divisor of m and 18? 6 Let v(p) = p**3 - 5*p**2 + 3*p - 19. Let n be v(6). Calculate the greatest common divisor of n and 5. 5 Let i(v) = 11*v - 14. Let a be i(10). Let b(c) = c**2 - 6*c - 4. Let r be b(8). What is the greatest common divisor of a and r? 12 Let d be 21 + (3 - -3) + -2 + -1. Calculate the greatest common divisor of 6 and d. 6 Let l be (-56)/(-2)*(-18)/(-8). Suppose -5*j = -l - 87. What is the highest common divisor of 10 and j? 10 Let v(c) = 7*c + 3. Let z be v(11). Let o = 4 - -6. Calculate the greatest common divisor of o and z. 10 Let g be 32 - (-2 - (-5 + 0)). Let j = -16 + g. What is the highest common divisor of 78 and j? 13 Let r = 4 + 3. Suppose -5*y - 2*o + 28 = -y, 2*o + r = 3*y. What is the highest common divisor of 25 and y? 5 Suppose 0*k - 6 = -j - 5*k, -5*j + 4*k + 59 = 0. Let x(d) = 35*d - 6. Let a be x(3). Calculate the highest common divisor of j and a. 11 Suppose 0 = 2*n - 5*k - 62, -k + 102 = 2*n + 2*n. Let w = -16 + n. Calculate the greatest common factor of 90 and w. 10 Let g(i) = -i**2 - 11*i - 5. Let x = -6 + -1. Let v be g(x). Let y be (3 + 51/6)*8. What is the greatest common divisor of v and y? 23 Let z be 7*(-6)/((-6)/23). Suppose 37 + 9 = 2*v - 5*b, -3*v - 4*b + 69 = 0. Calculate the greatest common factor of v and z. 23 Let n be -3*(-3)/12*-12. Let q = -4 - n. What is the highest common divisor of 45 and q? 5 Suppose -5*t + 27 = i, 5*t - 63 = -3*i - i. Let m be 3/12 - (-45)/i. Let o be 15/(-1 - (-15)/6). What is the greatest common factor of m and o? 2 Suppose -4*h - 14 - 22 = 0. Let j be ((-162)/(-4))/(h/(-18)). What is the greatest common divisor of 9 and j? 9 Let f = -72 - -102. What is the highest common factor of f and 15? 15 Let t be (-128)/80*(1 - 21). Calculate the greatest common divisor of 8 and t. 8 Suppose u + 4*u - 20 = 0. Suppose u*l - 64 = -0*l. Suppose -g - 3*g = -l. What is the greatest common divisor of g and 12? 4 Let r(y) = y**2 - 5*y + 9. Let g be r(6). Let p be 81/g + 2/(-5). Calculate the greatest common divisor of 55 and p. 5 Suppose -5*o + 14 = -2*o + 5*w, -5*w = -o - 2. What is the highest common factor of 3 and o? 3 Let x(o) = o**3 + 10*o**2 + 2*o. Let i be x(-6). Calculate the greatest common divisor of i and 12. 12 Let s(t) = t**3 - t**2 - t - 50. Let d be s(0). Let x be (-34)/(-5) - 10/d. What is the highest common factor of 49 and x? 7 Let b = 201 - 116. Let d = 20 + b. What is the highest common factor of d and 15? 15 Suppose -27 = u - 3. Suppose -3*t + 20 = -2*g - 3, -3*g - 22 = -2*t. Let k be g*-2*(-45)/u. Calculate the greatest common factor of k and 3. 3 Let j(b) = b**3 - 11*b**2 + b - 5. Let c be j(11). What is the greatest common factor of 54 and c? 6 Let g(l) = 6*l - 1. Let r be g(1). Let n(h) = -h**2 + 7*h - 7. Let f be n(r). Let j be (-2)/f + 88/6. What is the greatest common factor of 21 and j? 7 Let p be -18*(-3 - 5/(-2)). Calculate the greatest common factor of 72 and p. 9 Let g = 78 - 67. Calculate the greatest common factor of g and 121. 11 Let k(m) = -2*m**2 - 14*m + 1. Let a be k(-7). What is the highest common divisor of a and 14? 1 Suppose -23 - 9 = -2*o. What is the greatest common
{ "pile_set_name": "DM Mathematics" }
) be the second derivative of 5*x**3/6 + 8*x. Let f(m) = -2*m**2. What is f(j(s))? -50*s**2 Let h(g) = 7*g**2 + 3*g. Let q(l) = -20*l**2 - 8*l. Let f(z) = -8*h(z) - 3*q(z). Let a(t) be the second derivative of -t**3/3 + t. Calculate f(a(o)). 16*o**2 Let k(v) = -2*v**2 + 9. Let l(b) = 686*b**2. Calculate l(k(s)). 2744*s**4 - 24696*s**2 + 55566 Let r(b) = -31*b. Let n(c) = 2*c. Determine n(r(f)). -62*f Let s(b) = -1118*b - 1. Let w(g) = 2*g**2. Give s(w(u)). -2236*u**2 - 1 Let p(n) = 3*n. Suppose -2*z = -3*z + h - 2, 2*z + 2*h + 12 = 0. Let c(j) = 5*j. Let v(t) = 6*t. Let w(f) = z*c(f) + 3*v(f). Determine w(p(r)). -6*r Let n be (-2 - 1) + (-546)/(-180). Let d(x) be the third derivative of n*x**5 + x**2 + 0*x + 0 + 0*x**3 + 0*x**4. Let b(k) = -3*k**2. Calculate b(d(r)). -12*r**4 Suppose -n = -2*n - 3*a - 13, -5*n - 3*a - 5 = 0. Let i = -2 - -2. Let z(j) = -j**2 + i*j**n + 4*j**2. Let l(k) = -2*k. What is l(z(s))? -6*s**2 Let h(j) = 15*j. Let n(c) = -2*c + 2. Let l(k) = -1. Let d(t) = -2*l(t) - n(t). Calculate d(h(g)). 30*g Let n(y) = 6*y. Let r(g) = g**3 - 4*g**2 - 4*g - 3. Let m be r(5). Suppose -2*c + 0*c + 8 = 0. Let t(x) = c*x - 5*x + m*x + x. Determine n(t(p)). 12*p Let z(p) = 1. Let q(m) = 3*m - 3. Let s(n) = q(n) + 3*z(n). Let a(b) = -1. Let v(o) = o - 5. Let w(r) = 5*a(r) - v(r). Give s(w(f)). -3*f Let i(q) = q. Let u(h) = -1232*h**2. Determine i(u(v)). -1232*v**2 Let m(u) = u**2 - 3*u - 2. Let v be m(-1). Let s(c) be the third derivative of 0*c**3 + 0 - 1/60*c**5 + 0*c + 0*c**4 + c**v. Let q(n) = -n**2. What is q(s(l))? -l**4 Let h(v) = -v**2. Let d(j) = 3*j. Let r(t) = 3*t - 1 - 1 + 0 + t**2. Let k be r(-2). Let y(l) = -l. Let u(p) = k*d(p) - 11*y(p). Calculate h(u(b)). -b**2 Let n(o) = -o - 51. Let u(l) = l. Calculate n(u(z)). -z - 51 Let j(a) be the first derivative of a**5/30 - a**2 + 2. Let o(f) be the second derivative of j(f). Let u(m) = 2*m. Calculate u(o(b)). 4*b**2 Let z(q) = -q**2. Suppose 3*v + 1 - 7 = 0. Let x(w) = -w**2 - 4*w**2 + v*w**2. Calculate z(x(r)). -9*r**4 Suppose 0 = -6*k - 7 + 1. Let c(h) = h**2 + h - 1. Let t(s) = -15*s**2 - 12*s + 12. Let b(z) = k*t(z) - 12*c(z). Let u(m) = -m**2. Calculate b(u(y)). 3*y**4 Let t(p) = -8*p**2. Let u(w) = 0*w + 2*w - w. Determine t(u(y)). -8*y**2 Let m(s) be the first derivative of 1/3*s**3 - 3 + 0*s**2 + 0*s. Let u(k) be the second derivative of k**3/2 + k. Calculate m(u(w)). 9*w**2 Let y(w) = -2*w. Let k(l) be the first derivative of l - 1/6*l**4 - 2 + 0*l**2 + 0*l**3. Let h(o) be the first derivative of k(o). Give h(y(q)). -8*q**2 Let o(i) be the first derivative of -i**2/2 - 1. Let w be (-14)/21 - 136/(-6). Let t(a) = 22 - w - 2*a. What is o(t(b))? 2*b Let b(q) = -208*q**2. Let z(j) = -j + 30. Determine z(b(y)). 208*y**2 + 30 Let q(n) = -n + 1 - 1 - n. Let o(f) = -19*f**2 + 5*f + 5. Let b(l) = -28*l**2 + 7*l + 7. Let m(c) = 5*b(c) - 7*o(c). What is m(q(y))? -28*y**2 Let t(f) = -1 + 2*f + 1. Let z(v) = 5 - 2 + 3*v**2 - 3. Calculate t(z(m)). 6*m**2 Let z(x) = 6*x - 6*x + 4*x**2 - 3*x**2. Let r(v) = -10*v. Determine r(z(m)). -10*m**2 Let w(d) = -9*d**2 + 3*d. Let g(m) = 237*m. Calculate g(w(y)). -2133*y**2 + 711*y Let o(m) = 3*m. Let i be 6 - (1 + 2) - 1. Let x(z) = i*z - 2*z + z**2. Determine x(o(k)). 9*k**2 Let r(d) = 8*d. Let u(c) = 11*c**2. Calculate r(u(v)). 88*v**2 Let d(t) = -152*t. Let y(r) = -49*r. Give y(d(v)). 7448*v Let w(z) = -14*z + 8*z + 7*z. Let l(a) = -33*a. Calculate l(w(y)). -33*y Let n(q) be the second derivative of -q**4/6 + 23*q. Let m(i) = -1. Let h(x) = x**2 - 2. Let u(g) = h(g) - 2*m(g). Give n(u(j)). -2*j**4 Let o(y) = 327*y**2. Let b(u) = -u. Determine o(b(t)). 327*t**2 Let z(m) = -842*m + 2. Let s(l) = 2*l. Calculate s(z(b)). -1684*b + 4 Let l(r) be the second derivative of r**3/2 + 10*r. Let c(u) = 2 + 0 - 2 - u**2. What is c(l(j))? -9*j**2 Let m(t) = t**2. Let d(i) = -i**2 + i + 1. Let s(w) = -6 - 4*w + 4*w**2 - 2*w + 0*w. Suppose 0 = -2*x - 0*x - 12. Let l(u) = x*d(u) - s(u). Give l(m(c)). 2*c**4 Let n(r) = -r. Let t(x) be the first derivative of -x**5/20 + x**2/2 - 2. Let u(b) be the second derivative of t(b). What is u(n(v))? -3*v**2 Let i be (-15)/(-10)*(-2)/(-3). Let d(q) = -10*q. Let k(j) = -j. Let a(o) = i*d(o) - 12*k(o). Let m(l) = -12*l. What is m(a(b))? -24*b Let l(m) = 21*m**2 + 2. Let d(o) = 1679*o**2 + 161. Let z(x) = 2*d(x) - 161*l(x). Let u(a) = -a. Calculate u(z(r)). 23*r**2 Let u(w) = w. Let o(d) = 28*d - 5 - 11 + 16. Give o(u(x)). 28*x Let v(q) = -16*q**2. Let y(s) = -108*s**2. Calculate y(v(z)). -27648*z**4 Let u(l) be the third derivative of -l**5/120 - l**3/2 - l**2. Let b(s) be the first derivative of u(s). Let j(q) = -3*q. Give b(j(m)). 3*m Let o(m) = 3*m. Let k(x) be the third derivative of -x**4/24 - 3*x**2. Determine o(k(t)). -3*t Let v(n) = 6*n. Let y(w) = -3*w. Let j(b) = 2*v(b) + 6*y(b). Let q(d) = 3*d**2. Give j(q(x)). -18*x**2 Let x(j) = -5*j**2 - 9*j - 9. Let d(q) = q**2 + 2*q + 2. Let r(o) = -18*d(o) - 4*x(o). Let s(v) = 5*v. Determine s(r(i)). 10*i**2 Let d(b) = -b - b + b + 4*b. Let t(s) = 9*s**2. Calculate d(t(z)). 27*z**2 Let d(x) = 20*x. Let k(n) = -31*n + n**2 + n**2 + 31*n. Calculate d(k(y)). 40*y**2 Let q(w) = 144*w + 33. Let b(j) = -9*j - 2. Let n(a) = 33*b(a) + 2*q(a). Let r(c) = 3*c. Give n(r(d)). -27*d Let w(j) = 2*j**2. Let t(k) = -18*k + 7. Give w(t(a)). 648*a**2 - 504*a + 98 Let x(w) = -w. Let t(a) be the first derivative of 2 + 0*a**2 + 0*a - 1/3*a**3. Determine t(x(u)). -u**2 Let v(l) = 7*l. Let c(p) be the third derivative of -p**5/30 - 22*p**2. Give v(c(h)). -14*h**2 Let n(i) = 2*i**2. Let z(u) be the third derivative of -u**7/420 - u**4/6 + 6*u**2. Let v(h) be the second derivative of z(h). Calculate v(n(x)). -24*x**4 Let n(w) = w**3 - 1. Let b be n(0). Let k(a) = a. Let d(i) = 0*i - 2*i - i. Let t(r) = b*d(r) - 2*k(r). Let f(v) = v. What is t(f(m))? m Let s(i) = -i - 11. Let w = -25 - -47. Let n(a) = -1. Let q(j) = w*n(j) - 2*s(j). Let d(l) = 2*l - 10*l + 8*l + l**2. Determine d(q(g)). 4*g**2 Let u(g) = -5*g. Let q(y) = -y. Let a(o) = 6*q(o) - 3*u(o). Let p(z) = 5500 - 5500 - 2*z. What is a(p(t))? -18*t Let o = 33 - 13. Let g(f) = -7 - 2*f - 13 + o. Let q(h) = -4*h - 5. Let l(k) = 2*k + 2. Let z(i) = 5*l(i) + 2*q(i). Determine z(g(v)). -4*v Let h(s) = -7*s - 152 + 152. Let a(l) be the first derivative of -l**3/6 + 2*l + 2. Let i(g) be the first derivative of a(g). Calculate i(h(b)). 7*b Let r(l) = 107*l. Let a(d) = 2*d. Determine a(r(z)). 214*z Let z(c) = 8*c**2 + 2. Let p(i) = -i**2. Give z(p(a)). 8*a**4 + 2 Let b(d) = 4*d**2. Let i(k) = 9*k**2 - 477*k + 4*k**2 + 477*k. Calculate i(b(r)). 208*r**4 Suppose -5*b + 7 = -4*l, 3*l + 2 = -b + 11. Let x(g) = -7*g**2 + 2*g**2 + 3*g**l. Let i(w) = 3*w + 2*w - 4*w. Give x(i(t)). -2*t**2 Let n(l) = 4*l**2 + 5*l - 5. Let f(g) = 10*g**2 + 12*g - 12. Let j(u) = -5*f(u) + 12*n(u). Let c(q) be the third derivative of -q**5/10 - q**2. Give c(j(x)). -24*x**4 Let f(c) = c**2 + 3449*c - 2. Let l(y) = -y**2. Calculate f(l(x)). x**4 - 3449*x**2 - 2 Let o(x) = -6*x**2. Let m(r) = 12*r + 1. Give o(m(q)). -864*q**2 - 144*q - 6 Let o(d) = 43*d**2. Let u(j) = -82*j**2. Give o(u(w)). 289132*w**4 Let x(s) = -s. Let n(b) = -6*b. Let u(y) = 4*y. Let h(l) = -5*n(l) - 8*u(l). Calculate h(x(k)). 2*k Let r(w) = 120*w**2 + w. Let l(v) = 4*v**2. Calculate r(l(a)). 1920*a**4 + 4*a**2 Let q(a) = 2*a**2. Suppose n + 4*c = 10, -3*n = 3*c + 2*c - 16. Let s(i) be the third derivative of 0*i**3 - n*i**2 + 0 - 1/24*i**4 + 0*i. What is s(q(v))? -2*v**2 Let b(g) be the first derivative of -g**2/2 - 1. Let j(r) = -605 + 304 + 301 - 8*r**2. Give j(b(o)). -8*o**2 Let f(o) = o. Let s(i) = -4*i**2 + 9. What is s(f(m))? -4*m**2 + 9 Let u be ((-3)/(-1) + -7)/(-1 + -1). Let o(t) be the third derivative of 0 + 3*t**u + 0*t**3 + 0*t**4 + 1/30*t**5 + 0*t. Let z(k) = -2*k**2. What is z(o(m))? -8*m**4 Let s(y) = -8*y**2 + 3*y. Let v(j) = -j**2 - j. Let d(h) = s(h) + 3*v(h). Let k(c) = -3*c**2. What is d(k(q))? -99*q**4 Let u(c) be the third derivative of 13*c**5/60 + 19*c**2. Let q(x) = 2*x**2. Calculate u(q(t)). 52*t**4 Let v(i) = -39*i. Let s(t) = 180*t + 1. Determine v(s(u)). -7020*u - 39 Let p(n) = 8*n - 3. Let f(w) = 17*w. Determine p(f(o)). 136*o - 3 Let z(i) = 0 + 1 + i**2 - 1. Let t be (-16)
{ "pile_set_name": "DM Mathematics" }
ose l = -3*t - 8. Let z be n(t). Determine p(z). -6 Let z(u) = u + 11. Suppose -12*s + 0*s = s. Calculate z(s). 11 Let q(f) be the first derivative of f**2 + 2*f - 11. Give q(-5). -8 Suppose i + 5 = 2*i. Suppose i*a + 5 + 15 = 0. Let s(f) = -f**2 - 4*f - 3. Calculate s(a). -3 Let z(n) = -n**2 - 8*n + 1. Let c be z(-8). Let f(s) = -c - 5*s + 2 - s**2 + 0*s + 6. Calculate f(-5). 7 Suppose 14 = -6*d + 26. Let m = 1 + 2. Let y(v) = m - 2*v - v**2 + 0 - d*v. Calculate y(-4). 3 Let y(q) = q**2 - 3*q + 2. Suppose -4*p - 4 = 5*u, 3*p + 2*u - 24 = 5*u. What is y(p)? 6 Let n be (-26)/(-12) + (-1)/6. Suppose n*a + a = 9. Let j(u) be the first derivative of -u**3/3 + u**2 - 3*u + 1. Determine j(a). -6 Let h(o) = -2*o - 8. Let v be h(-8). Suppose -3*a = -v*a. Let y(f) = 4*f - 6*f + 4 + 5 + 3*f. Calculate y(a). 9 Let f(t) be the second derivative of -t**4/12 - t**3/3 + t**2 - 5*t. Calculate f(-6). -22 Let b(x) = x**2 - x - 5. Suppose 2*r + 4 = 4*q, 5*q = -0*q + 4*r + 2. Suppose -q*a = -4*a. Let y be -1 + a - (-1 + 0). What is b(y)? -5 Let u(d) = -3*d**2 + 9*d - 13. Let f(y) = -2*y**2 + 4*y - 6. Let l(k) = 5*f(k) - 3*u(k). Let c be l(-8). Let a(o) = o**3 - 2*o**2 + 2*o - 1. Calculate a(c). 0 Suppose 5*p + 1 = 3*y, 0 = 2*y - 3*p - 1. Let b(o) = o**2 - 1. Let u(i) = -6*i**2 - i - 3. Let t(k) = y*b(k) - u(k). Calculate t(-1). 8 Let w = 5 + -2. Suppose 0 = w*b + b. Let f be (-1 - (-6 - b))*-1. Let o(y) = 2*y + 5. Determine o(f). -5 Let z(u) = 3 + 10*u + 4 - u**2 - 4*u. Calculate z(6). 7 Suppose 6 - 11 = -h. Suppose h*u = u + 20. Let n(a) = -2*a + 2. Give n(u). -8 Let f be 0/(0 + 3) + 3. Let g(c) = 2*c - 2. Let i be g(f). Suppose -3*o = -2*p + 17, -3*o = o - i*p + 24. Let u(r) = -r - 10. Give u(o). -5 Let c(s) = -218*s**2 - 2*s + 1. Let f be c(1). Let i be f/(-15) - (-6)/(-10). Suppose 0 = 3*m + 1 + i. Let n(p) = -p**2 - 7*p - 6. Determine n(m). 4 Let i(c) = 10*c**3 + 16*c**3 - 1 + 9*c**3 + 2*c - 34*c**3 + 6*c**2. What is i(-2)? 11 Let r(f) = 2*f - 5. Let y be (3 - -1) + -8 + (-4)/2. Calculate r(y). -17 Suppose -125 = -3*x + 5*d, 0*d = -x + d + 41. Let a be x/18 - (-6)/(-27). Suppose -5 = a*i - 3. Let p(u) = -u**2 - 2*u - 1. Determine p(i). 0 Let s(q) = q + 7. Let j be s(-5). Let m(a) = -8*a. What is m(j)? -16 Suppose -d + 0 + 4 = 0. Suppose 3*q - 6 = 2*i, d*i + 12 = -0*q + 4*q. Let l(k) = -k**2 + k - 4. Give l(q). -4 Let f(l) = l**3 - 4*l**2 - 5*l + 1. Let o(t) = -2*t - 11. Let h be o(-14). Let k = h + -12. Determine f(k). 1 Let x = 63 - 65. Let b(l) = 3*l**3 + 2*l**2 + 4*l + 2. What is b(x)? -22 Let n(u) = -u + 2. Suppose 3*a + 7 = -3*d - 2, -5*d + 4*a = -30. Give n(d). 0 Let z be 0/(1 + 1 - 3). Let j = 12 + -9. Suppose z*q - j*q + 3 = 0. Let k(l) = 5*l**2 + l. What is k(q)? 6 Let g(v) be the third derivative of -7*v**6/120 - v**4/6 + v**3/2 - 3*v**2. Let w(a) = -6*a**3 - 5*a + 4. Let i(u) = -4*g(u) + 3*w(u). Calculate i(1). 11 Suppose -2 = b - t - 0*t, -3*t + 6 = -2*b. Let i(q) = -q**3 - q**2 - q + 9. What is i(b)? 9 Let p(s) = s**2 + 5*s + 4. Suppose 2*j - 3*r = -11, 0 = -2*j - 5*r + 13. Let v = j + -2. What is p(v)? -2 Let z(i) be the third derivative of i**5/60 + i**4/12 - i**3/6 - 31*i**2. What is z(1)? 2 Let q(z) = z**3 + 5*z**2 + z + 6. Let l = 13 + -18. Determine q(l). 1 Let h(c) = c - 11. Suppose 4*d = 2*b, -3*b + 4*b + 3*d - 15 = 0. Give h(b). -5 Suppose 2*l + l - h - 29 = 0, -15 = 3*h. Let r(v) = -6*v**2 + l - v**3 - 5*v + 0 - 2. Suppose 20 = -10*u + 6*u. What is r(u)? 6 Let n(k) = 2*k**2 - 1. Let a(s) = -s**2 + 6*s - 10. Let h be a(4). Calculate n(h). 7 Let b(o) = -o**3 + 3*o**2 + o - 2. Suppose 2*v = 4*h + 2 - 4, 2*h + 2*v - 10 = 0. Let d be b(h). Let u(f) = -d*f**2 + 1 + f + f + 3*f**2. What is u(-1)? -2 Let v = -19 + 13. Let p(n) = n**2 + 6*n. Determine p(v). 0 Let v(i) be the third derivative of -1/12*i**4 + 0*i + 1/3*i**3 + 0 + i**2. Calculate v(2). -2 Let q(o) = 2*o**2 + 6*o - 6. Let c(g) = -g**2 + g + 1. Let u(v) = -c(v) - q(v). Calculate u(-8). -3 Let a(c) = -c**2 - c + 1. Let k(g) = 3*g**2 - 4. Let p(m) = -2*a(m) - k(m). What is p(2)? 2 Let q(j) = j**3 + j**2 - 4*j - 3. Let w(u) = -4 + 0 + u**2 + 2*u**3 + 3. Let y be w(1). Let o be (((-12)/y)/(-3))/(-1). Determine q(o). 1 Let i = 0 + 1. Let a = 5 - i. Let t(m) = -m**2 - 2*m + 1. Let w(f) = -3*f**2 - 3*f + 1. Let k(h) = 5*t(h) - 2*w(h). Calculate k(a). 3 Let r(k) = k**3 + 9*k**2 + 7*k - 4. Let c = -9 - -1. Calculate r(c). 4 Let d(y) = -11*y**2 + 2*y - 3. Let h(j) = 16*j**2 - 3*j + 4. Let l(p) = -7*d(p) - 5*h(p). Calculate l(-1). -3 Let c(x) = -x + 2. Let k = -102 - -97. Calculate c(k). 7 Let g(u) be the third derivative of 1/120*u**6 - u**2 + 1/30*u**5 + 1/8*u**4 + 1/3*u**3 + 0 + 0*u. Let z(r) = -2*r**2 + 15*r + 6. Let b be z(8). Determine g(b). -4 Let x(l) = -l**2 + 2*l + 0*l - 3 + 3*l. Let z be x(3). Suppose z*r + 1 = 4*c, -2*r + 0*c + 2 = -2*c. Let y(b) = -b**3 + 4*b**2 + 3*b + 7. What is y(r)? -3 Let y(a) = -11 + 0*a**2 + a**2 - 13 + 27 + 9*a. What is y(-8)? -5 Let y(t) = -2*t**3 + 7*t**2 - 6*t + 2. Let s be y(4). Let k be (-2)/(-8) + s/(-8). Let w(c) = c**2 - 4*c + 7. What is w(k)? 12 Let i(u) = u**3 - 3*u**2 - 6*u + 3. Suppose -2*s - s = -5*y - 32, 0 = 3*s + 4*y + 4. Give i(s). -5 Let p(x) = x**3 + x**2 + x + 12. Let z(b) = 2*b**3 + 2*b**2 + 2*b + 23. Let n(g) = -7*p(g) + 4*z(g). Determine n(0). 8 Let z(j) = -5*j**3 - 9*j**3 + 3 - 13*j**2 + 9*j**3 + 7*j. Let y(l) = 6*l**3 + 14*l**2 - 7*l - 4. Let c(x) = -6*y(x) - 7*z(x). Determine c(6). -3 Let n(g) be the third derivative of 0 + 0*g - 1/12*g**5 + 4/3*g**3 - 1/3*g**4 + 1/120*g**6 + 4*g**2. Give n(6). -4 Let l(a) = 4. Let t(s) = s - 7. Let i(b) = -5*l(b) - 3*t(b). Let v(w) = w. Let d = 13 + -18. Let n(f) = d*v(f) - 2*i(f). Give n(4). 2 Let n(q) be the second derivative of -q**4/12 - q**3/3 - 2*q**2 - 7*q. Give n(-3). -7 Let b = -5 - -11. Let v(l) = -2*l + 2. Suppose 3*j - 20 = -j. Let p(s) = -2*s + 3. Let a(h) = j*v(h) - 6*p(h). What is a(b)? 4 Let h(x) = 9 - x**3 + 183*x - 93*x - 92*x + 7*x**2. Determine h(7). -5 Suppose g + 3*g + 12 = a, 0 = -a. Let l = g - -5. Let i(h) = 3*h + 1. What is i(l)? 7 Let r(g) be the third derivative of -g**4/12 + 12*g**2. Give r(-2). 4 Let b(v) = 3 + 0 - 2*v + 3*v. Let x be 9 + (-4 - (2 - 6)). Suppose x = 5*g + 34. Determine b(g). -2 Let f(z) = z**3 - 4*z**2 + 4*z - 1. Let a be (-7)/(-4) + (-1)/(-4). Suppose -4*m + 2*x - 4*x = -8, -8 = a*x. Calculate f(m). 15 Let o(g) = -2*g**3 + 2*g**2 + 4*g - 2. Let f(l) = 3*l**3 - l**2 - 5*l + 3. Let d(z) = -3*f(z) - 4*o(z). Give d(-5). 4 Let l be 0/(((-4)/(-2))/(-2)). Let x(n) = -n**3 - n**2 - n + 1. Let p be x(l). Let z(q) = p - 4 + 3 + 2*q. Give z(2). 4 Let a(j) be the second derivative of j**6/120 + j**5/12 - 3*j**4/8 - 4*j**3/3 + 2*j**2 - j. Let q(s) be the first derivative of a(s). Give q(-6). 10 Suppose 4*w = 2*w. Suppose -5*q - f - 5 = w, 3*q - 4*f + 20 = -8*f. Let r(o) be the first derivative of o**3/3 - o**2/2 - 5*o + 2. Determine r(q). -5 Let c(y) = y**3 + 4*y**2 + 4*y + 5. Let v = -4 + 0. Calculate c(v). -11 Let g(m) = -m**2 + 1. Let r = 90 + -90. Give g(r). 1 Let u(d) = d**3 - 10*d**2 + 2*d + 4. Let w(x) = -x**2 + x. Let t(h) = u(h) - 5*w(h). What is t(5)? -11 Let s be -2 - 2*(-2)/(-4). Let v(x) = 9*x + 2. Let r(q) = 17*q + 4. Let z(l) = -6*r(l) + 11*v(l). What is z(s)? 7 Let m = -6 + 6. Let l = -1 - m. Let v(t) = -10*t**3 - 3*t - 1. Let x(c) = -29*c**3 - 8*c - 3. Let s(w) = -8*v(w) + 3*x(w). Calculate s(l). 6 Let z(m) = 3*m**3 + 3*m**2 - 5*m - 3. Let d(l) = -2*l**3 - 3*l**2 + 4*l + 2. Let i(s) = -4*d(s) - 3*z(s). What is i(2)? 3 Let t(o) = 2*o - 3. Let f(w) = -3*w + 4. Let k be 17/(-5) - (-8)/20. Let z(m) = k*f(m) - 4*t(m). What is z(6)? 6 Let q(j) be the second derivative of -j**5/20 + j**4/6 + 5*j**3/6 - 2*j**2 - 3*j. Let a be (-2 - (1 - 6))/(-1). Let r = 0 - a. Determine q(r). 2 Let o(q) = -3*q**2 - q. Let w(s) = s**3 - 7*s**2 - 8*s + 7. Let m(f) = f**2 - 6*f + 8. Let d be m(6). Let k be w(d). Suppose -4 = k*p - 3*p. What is o(p)? -2 Let i(q) = -q**3 + q**2 - q + 1. Let m(l) = 3*l**3 + 3*l**2 + 7*l + 2. Let g be 3/(-18) - 39/(-18). Let c(w) = g*i(w) + m(w). Give c(-4). 0 Let w(c) = -c**3 + 8*c**2 + 10*c - 8. Let r be w(9). Let q(x) = 16*x**3 - 7*x + 9. Let i(t) = 8*t**3 - 3*t + 4. Let k(u) = -9*i(u) + 4*q(u). What is k(r)? -9 Let b(p) = 2 - 6 - p +
{ "pile_set_name": "DM Mathematics" }
)**2*(t - 1)**2/11 Determine r, given that 12/5*r**4 + 9312/5*r**3 + 4638/5 + 5571*r**2 + 20877/5*r = 0. -773, -2, -1/2 Let k(q) be the first derivative of q**6/9 + 176*q**5/15 + 1097*q**4/6 + 9196*q**3/9 + 2084*q**2 + 1776*q + 1792. Suppose k(u) = 0. What is u? -74, -6, -1 Let i(c) = c - 18. Let u be i(24). Let z(b) be the second derivative of 0 + 0*b**3 + 0*b**2 - 2/15*b**u - 1/21*b**7 - 1/10*b**5 + 0*b**4 - 17*b. Factor z(g). -2*g**3*(g + 1)**2 Let k(i) be the first derivative of 0*i + 0*i**3 + 2*i**4 - 7 - 2*i**2 - 2/3*i**6 + 0*i**5. Factor k(n). -4*n*(n - 1)**2*(n + 1)**2 Let f(d) be the second derivative of -3*d**5/20 + 41*d**4/4 + 22*d**3 - 126*d**2 - 2066*d. Factor f(z). -3*(z - 42)*(z - 1)*(z + 2) Let m(j) = 170*j**2 + 14960*j + 4. Let u be m(-88). Suppose -10 - u*c - 2/5*c**2 = 0. What is c? -5 Let t(f) be the first derivative of -f**5/30 - 11*f**4/24 + 2*f**3/3 + 3782. Factor t(z). -z**2*(z - 1)*(z + 12)/6 Let z(y) be the third derivative of 1/48*y**4 + 0*y + 1/600*y**5 - 1/10*y**3 - 2 - 21*y**2. Suppose z(r) = 0. Calculate r. -6, 1 Let d(i) be the first derivative of 529*i**6/8 - 6279*i**5/5 + 19401*i**4/16 + 329*i**3 + 45*i**2/2 - 3169. Suppose d(g) = 0. What is g? -2/23, 0, 1, 15 Let v(q) be the second derivative of -3/65*q**5 + 2/39*q**4 + 1/3*q**3 + 43*q + 0 + 1/273*q**7 + 6/13*q**2 - 2/195*q**6. Determine z so that v(z) = 0. -1, 2, 3 Let c(x) = x**2 - 7*x - 42. Let h be c(-4). Let j(t) be the third derivative of 0*t - 2/3*t**3 + 7*t**h + 0 + 1/3*t**4 - 1/15*t**5. Solve j(m) = 0. 1 Let g(l) = -5*l**5 - 20*l**4 - 5*l**3 + 56*l**2 + 20*l - 25. Let i(f) = 2*f**2 + 5. Let o(q) = -g(q) + 3*i(q). Determine h so that o(h) = 0. -2, 1 Let n(q) = -162*q**2 + 312*q + 213. Let z(s) = -143*s**2 + 312*s + 212. Let a(i) = -8*n(i) + 9*z(i). Suppose a(f) = 0. Calculate f. -34, -2/3 Let m = 586 + -114. Let l = m + -470. Suppose 0 + 2/9*o**3 - 2/9*o**5 + 2/9*o**l + 0*o - 2/9*o**4 = 0. Calculate o. -1, 0, 1 Let d be 2 + (-4 - -4)/(-2 + 3). Solve 19*u + u - 5223*u**d + 5219*u**2 = 0 for u. 0, 5 Let q(b) be the first derivative of 9/16*b**4 + 7/6*b**3 + 1/2*b - 21 + 9/8*b**2 + 1/10*b**5. Factor q(s). (s + 1)**2*(s + 2)*(2*s + 1)/4 Find j such that 65/3*j**2 - 17*j - 13/3*j**3 + 0 - 1/3*j**4 = 0. -17, 0, 1, 3 Let t(r) be the first derivative of 20/3*r**3 + 1/6*r**6 - 183 + 0*r + 7/5*r**5 + 9/2*r**4 + 4*r**2. Factor t(i). i*(i + 1)*(i + 2)**3 Let o = 150 + -151. Let d be (o/(-14))/((-9)/(-216)). Factor d + 12/7*y + 3/7*y**2. 3*(y + 2)**2/7 Let p(k) be the second derivative of k**6/450 - k**5/5 - k**3/6 + 137*k**2/2 - 143*k. Let l(m) be the second derivative of p(m). Factor l(t). 4*t*(t - 30)/5 Let t = 270 - 256. Suppose -12 = 2*v + 4*r, -5*v + 2*r - r + t = 0. Solve 2/3*o**3 + 1/3*o + 0 + 5/6*o**v + 1/6*o**4 = 0 for o. -2, -1, 0 Let l(d) be the first derivative of 4*d**6/33 - 2302*d**5/55 + 41900*d**4/11 - 287428*d**3/33 + 3692*d**2 + 3718*d - 1279. Find j such that l(j) = 0. -1/4, 1, 143 Let w(h) = -65*h**2 - 360*h - 979. Let t(m) = -35*m**2 - 180*m - 489. Let u(x) = -11*t(x) + 6*w(x). Factor u(c). -5*(c + 3)*(c + 33) What is g in 1171*g**3 + 160*g**2 + 5*g**4 - 1010*g**3 - 4*g**4 = 0? -160, -1, 0 Let h(y) be the third derivative of 1944*y**3 + 0*y + 14 + y**2 + 1/15*y**5 + 18*y**4. Factor h(x). 4*(x + 54)**2 Suppose 2*a - 41 = -29. Let d(z) be the first derivative of -2*z**5 + 3*z**5 - 5*z**3 + 5*z**2 - 3 + 0*z**5 - a. Factor d(s). 5*s*(s - 1)**2*(s + 2) Let i(z) = z**2 - 75*z - 11932. Let l be i(-78). Factor -242/5*x**4 - 624/5*x**l - 64*x + 176*x**3 - 32/5. -2*(x - 2)**2*(11*x + 2)**2/5 Let l = 1436 + -1415. Let m(g) be the first derivative of 0*g + 40/3*g**3 - 8*g**2 - l - 33/4*g**4 + 2*g**5 - 1/6*g**6. Factor m(i). -i*(i - 4)**2*(i - 1)**2 Let r be -45*8/(-440)*84/54. Solve 2/11*v**2 + r*v + 0 = 0 for v. -7, 0 Suppose -3*h = -2*n - 0*n - 1107, 2*n + 1108 = 4*h. Let x = 787 + n. Let 139*o**4 + 17*o - x*o**3 + 120 - 174*o**4 - 244*o - 490*o**2 - 33*o = 0. What is o? -3, -2, 2/7 Factor -12326/5*b - 2/5*b**3 - 6162/5 - 6166/5*b**2. -2*(b + 1)**2*(b + 3081)/5 Suppose 0 = -5*z - 5*t + 30, -2*t = -9 + 3. Determine i, given that z + 0*i - 3/4*i**2 = 0. -2, 2 Let w(a) be the second derivative of -a**4/3 + 8*a**3/3 - 6*a**2 - 856*a. Factor w(s). -4*(s - 3)*(s - 1) Let d be (6/(-11) - (-78)/143)/3. Suppose 3*m - 4*v - 6 = d, 4*v = 2*m - 6 + 2. Factor 3/5 - 3/5*w**m + 1/5*w - 1/5*w**3. -(w - 1)*(w + 1)*(w + 3)/5 Let c(k) be the first derivative of 87*k**5/35 + 9*k**4/14 - 116*k**3/7 - 36*k**2/7 - 6906. Find p, given that c(p) = 0. -2, -6/29, 0, 2 Factor -1/6*k**2 + 0 - 127/6*k. -k*(k + 127)/6 Find a, given that -3/8*a**3 - 15/8*a**2 + 15/2 + 3/2*a = 0. -5, -2, 2 Suppose -3599480*j - 5*j**4 + 373056*j**2 + 156*j**4 - 10581*j**3 - 3657*j**3 - 97556 - 3*j**4 + 1366*j**3 = 0. What is j? -1/37, 29 Let p be ((-120)/(-1))/4*180/240. Factor p + 3/2*a**2 + 12*a. 3*(a + 3)*(a + 5)/2 Let m(k) = k**2 + 6*k + 10. Let n be (4 + -8 - 1)/1. Let r(b) = 8*b + 8. Let q(l) = n*r(l) + 4*m(l). Factor q(f). 4*f*(f - 4) Suppose -14*k + 104 = 104. Suppose 14 = 4*w + 33*c - 34*c, k = -w - 3*c + 10. Determine m, given that 0*m - 1/2*m**5 + 2*m**w + 0 - 5/2*m**3 + m**2 = 0. 0, 1, 2 Determine h, given that 1012 - 5*h**3 - 275*h**2 + 801 + 662 - 1166*h - 1029*h = 0. -45, -11, 1 What is s in -6480 - 2/9*s**4 + 2376*s - 276*s**2 + 118/9*s**3 = 0? 5, 18 Let k = -20 + 22. Suppose -3*r + 0*r - 4*n + 63 = 0, k*n = -3*r + 63. Find y such that 27*y**2 - 5*y**3 - r*y**2 + 7*y**3 = 0. -3, 0 Let g(d) = 3*d**2 + 125*d - 1800. Let k be g(-53). Let 512/9 - 64/9*n + 2/9*n**k = 0. What is n? 16 Let u(k) be the second derivative of -k**5/5 + 194*k**4/3 + 9*k + 21. Factor u(z). -4*z**2*(z - 194) Suppose -128/9 - 4/3*s**2 - 4/9*s**3 + 16*s = 0. Calculate s. -8, 1, 4 Let g(p) be the first derivative of -2*p**3/21 + 1357*p**2/7 + 5436*p/7 - 11322. Solve g(w) = 0. -2, 1359 Let d(y) be the first derivative of -2/3*y**6 + 2*y**4 + 0*y + 40 + 16/5*y**5 - 16*y**3 - 18*y**2. Factor d(k). -4*k*(k - 3)**2*(k + 1)**2 Let r(j) = 10*j**2 - 5827*j - 3. Let s(h) = -35*h**2 + 17480*h + 10. Let k(l) = 10*r(l) + 3*s(l). Let k(m) = 0. What is m? -1166, 0 Let l = -4789/14 + 165/7. Let g = 331 + l. Determine c, given that -2*c**2 + 5/4*c + g + 1/4*c**3 = 0. -2, 5 Suppose 2*f = -f + 8*f - 0*f - 4*u, 5*f = 2*u. Let 0*q - 11/9*q**4 + f + 5/9*q**3 + 2/9*q**2 + 4/9*q**5 = 0. Calculate q. -1/4, 0, 1, 2 Factor 2 - 77/2*j**2 + 39/4*j**3 + 37*j. (j - 2)**2*(39*j + 2)/4 Let a(s) be the third derivative of -13*s**6/24 - 23*s**5/3 - 235*s**4/6 - 280*s**3/3 - 756*s**2 - s. Find c, given that a(c) = 0. -4, -2, -14/13 Let -1176 - 385*q - 1113 - 1144 + 3347 + 482*q**2 - 11*q**3 = 0. Calculate q. -2/11, 1, 43 Let f(a) be the second derivative of 5*a**7/6 + 47*a**6/6 + 63*a**5/4 + 65*a**4/12 - 25*a**3/3 + 7*a - 34. Solve f(u) = 0. -5, -1, 0, 2/7 Suppose 15*t = 14 - 119. Let b(u) = 3*u**4 - 3*u**3 - 24*u**2. Let a(d) = 3*d**4 - 2*d**3 - 26*d**2. Let f(o) = t*b(o) + 6*a(o). Factor f(s). -3*s**2*(s - 4)*(s + 1) Let a(i) be the second derivative of -1/2*i**4 - 6*i**3 + 0*i**2 - 118*i - 1/80*i**5 + 0. Factor a(n). -n*(n + 12)**2/4 Suppose 5*k - 19 = 26. Let -4*j**2 - k + 11 - 6 - 8*j = 0. Calculate j. -1 Let i(r) be the third derivative of r**8/40320 - r**7/5040 + r**5/180 + 125*r**4/24 + 7*r**2 - 2*r. Let y(a) be the second derivative of i(a). Factor y(g). (g - 2)**2*(g + 1)/6 Let w(k) be the second derivative of -k**7/420 + 7*k**6/360 - k**5/15 - 5*k**4/4 - 47*k - 2. Let j(u) be the third derivative of w(u). Factor j(f). -2*(f - 1)*(3*f - 4) Suppose 2*o - 5*r = 7*o - 25, -5*r + 25 = 3*o. Suppose 5*k + 4*h = -o*k - 5, 3*k + 5*h + 16 = 0. Solve 0*f + k*f**3 - 10*f**2 + 10*f**2 - 3*f = 0. -1, 0, 1 Let d(w) be the first derivative of 3*w**4/20 + 348*w**3/5 + 45414*w**2/5 - 754. Let d(y) = 0. Calculate y. -174, 0 Let g(w) be the third derivative of w**6/30 - 181*w**5/15 + 30*w**4 + 2573*w**2. Factor g(t). 4*t*(t - 180)*(t - 1) Determine n, given that 2/5*n**3 + 0*n - 2/5*n**2 + 0 = 0. 0, 1 Let d = -223679 + 223679. Find f such that 0 + d*f + 0*f**2 - 40/3*f**3 - 2/3*f**4 + 2/3*f**5 = 0. -4, 0, 5 Solve 23025*f**3 + 1890*f**2 + 2*f**5 - 24750*f**3 - 170*f**4 + 3*f**5 = 0 for f. -9, 0, 1, 42 Solve 16*v - 70/3*v**3 - 346/9*v**2 - 8/9 = 0 for v. -2, 1
{ "pile_set_name": "DM Mathematics" }
00005 Let h = -42 + 86. Let z = 41.1 - h. Let v = z + 2.14. Round v to one decimal place. -0.8 Let u = 4614.82 + -4667. Let i = u + 53. Round i to 1 dp. 0.8 Let t = -23 + 18. Let b = -4.99992 - t. What is b rounded to four decimal places? 0.0001 Let i = 17 + -17.000004. Round i to 5 decimal places. 0 Let x = -1.77 - -0.26. Let v = x + 1.417. Round v to two decimal places. -0.09 Let i = 0.98 - 1.019. Let c = i + 0.0429. Round c to three dps. 0.004 Let y = 351.411 - 1.111. Let c = y - 366. What is c rounded to 0 decimal places? -16 Let r(o) = -2*o - 3. Let w be r(-4). Let q = w - 7. Let f(s) = -10500*s**3 + s**2 + 3*s + 2. Let x be f(q). Round x to the nearest ten thousand. 80000 Suppose 0*v - 570 = -v. Let t be (-24)/15*(-15)/6. Suppose t*k = 5*k + v. Round k to the nearest 100. -600 Let p = 13151.73 + -13213. Let v = 62 + p. Round v to one dp. 0.7 Let x = 507 - 597.6. Let m = x - -99. What is m rounded to the nearest integer? 8 Let d = -31 - -31.00000236. What is d rounded to 7 decimal places? 0.0000024 Let u = 0.9 - 0.863. What is u rounded to two decimal places? 0.04 Let m = 0.7283 + 4.278. Let u = m - 5. Round u to three dps. 0.006 Suppose 5*a - 6*a + 4*c + 4 = 0, 0 = 3*a + 2*c - 12. Suppose 429 + 1971 = a*u. What is u rounded to the nearest 1000? 1000 Suppose 214992 = -5*f - 0*p + 4*p, -5*f = -p + 214998. Round f to the nearest 10000. -40000 Let s be -90002 + 0 - (10 - 12). Let o be ((-41)/(-3))/(3/s). Round o to the nearest 100000. -400000 Suppose 2*m + 42 = 3*b - 4*b, -4*m = -4. Let a = b - -69. Let r be 3*(a - 2) + 0. What is r rounded to the nearest 10? 70 Suppose 0 = 4*j - 7 - 13. Suppose j*t + 2*c - 11 = -189, -3*t = 3*c + 114. What is t rounded to the nearest 10? -30 Let o = 12466 - 12392.49. Let f = o - 73. What is f rounded to 1 dp? 0.5 Let s = -3.01 - -3. Let n = -0.0100123 - s. What is n rounded to 6 decimal places? -0.000012 Let a = -14.3 + -46.7. Let i = a + 64.9. Round i to 0 dps. 4 Let w = -13.100681 - -12.92068118. Let v = w + 0.18. What is v rounded to 7 dps? 0.0000002 Suppose -4*y - 718 = 5*j - 213, -j = -5*y + 72. Let c = 209 + j. Round c to the nearest 10. 110 Let t = 7565 - 4533. Let c = t - 6232. Round c to the nearest one thousand. -3000 Let z = 0.6 - 0.2. Let a = z - 0.4000002. Round a to seven decimal places. -0.0000002 Let u(j) = j**2 + j + 316000. Let d be u(0). Suppose -3*y + d = -y. Round y to the nearest 10000. 160000 Let y = 0.0988897 + 0.1911169. Let k = y + -0.29. Round k to 6 decimal places. 0.000007 Let w = -11.9968 + 12. Round w to three dps. 0.003 Let l = 33.52 + -33. Let p = 42.52 - l. Let j = p + -42.0000049. What is j rounded to six decimal places? -0.000005 Let c(l) = 1882*l - 12. Let a be c(16). Round a to the nearest 10000. 30000 Let y = 2478557.9909 - 2478419. Let l = -3.18 + 142.18. Let a = l - y. What is a rounded to 3 dps? 0.009 Suppose 0 = 56*x - 59*x + 8820000. Round x to the nearest 100000. 2900000 Let r = -12 + 19. Suppose 0 = -r*a + 2*a - 720. What is a rounded to the nearest 10? -140 Let r = 3548038 - 3548055.000056. Let a = 17 + r. Round a to 5 dps. -0.00006 Let s(u) = 5*u + 2. Let v be s(2). Suppose f = -3*b + 4, -4*b - f + 3*f = -v. Suppose 0 = b*o + o - 195000. Round o to the nearest 10000. 70000 Let o = -36.046 + 36. What is o rounded to two decimal places? -0.05 Let o(s) = s**2 - 11*s + 11. Let q be o(10). Let h(i) = -267*i - 1. Let b be h(q). Let y = b + 153. Round y to the nearest ten. -120 Let f = -112 - -64.4. Let q = f + 24.5. Round q to 0 dps. -23 Let p = 16 + -16.18. Let o = -0.17999988 - p. Round o to 7 dps. 0.0000001 Let j = 3.34 + 0.16. Let x = 3 - j. Let l = -0.50000036 - x. What is l rounded to seven decimal places? -0.0000004 Let t = 16741.599872 - 16741. Let f = t + -0.6. What is f rounded to five dps? -0.00013 Let v = 157 + -371. Let q = v - -214.000117. Round q to 5 dps. 0.00012 Let a = 10161 + 939. What is a rounded to the nearest 1000? 11000 Suppose 7*j - 70 = 2*j. Suppose k = 4*k - 6, -4*f + 3*k = -j. Suppose 4*b + 0*q + 320005 = -q, 3*b - f*q = -239975. What is b rounded to the nearest 10000? -80000 Let i(b) = b**2 - 4*b + 4. Let h be i(3). Let q be (0 - 9003)/3 + h. What is q rounded to the nearest 1000? -3000 Let u = 15.7 - 15. Let a = u + -1. Let l = 0.29995 + a. Round l to five dps. -0.00005 Let h = -1.14 - -1.018. Let s = h + 0.1311. What is s rounded to 3 decimal places? 0.009 Let g = 133894.389 + -133958. Let h = g - -63.6509964. Let v = -0.04 + h. Round v to six dps. -0.000004 Let o = 93 - 228. Let u = -2662547 - -2662682.0067. Let x = o + u. What is x rounded to three decimal places? 0.007 Let m = 4 - 7. Let a = -2.9 - m. Let y = a - 0.15. Round y to 2 decimal places. -0.05 Let g = -45 + 44.9999674. Round g to 6 decimal places. -0.000033 Let a = 0.247 + -0.049. What is a rounded to two dps? 0.2 Let r = 6417 + -3667. Suppose -2*y = 3*y + r. What is y rounded to the nearest one hundred? -600 Let k = 3 + -3.1. Round k to one decimal place. -0.1 Suppose -w = p + 3, 8*w = 3*w - 15. Suppose -2*x - 4*k - 39980 = -0*k, -5*x + k - 100005 = p. Round x to the nearest one hundred thousand. 0 Let q = 8.5 + -4. What is q rounded to zero dps? 5 Let h be (-416)/(-10)*75/(-6). Round h to the nearest one hundred. -500 Let q = 1.68 - -5.42. What is q rounded to the nearest integer? 7 Let i = 21.0000078 + -21. Round i to six decimal places. 0.000008 Let b = -77156 + 22156. Round b to the nearest 10000. -60000 Let l = 31.00019 + -31. What is l rounded to four dps? 0.0002 Let m = 3 - 3.1. Round m to 1 decimal place. -0.1 Let n = 6749.986 - 6759. Let l = n + 9. Round l to two dps. -0.01 Let u = -9 + 3. Let d(i) = -5*i + 2*i + 11*i + 1. Let q be d(u). Round q to the nearest 10. -50 Let o(i) = i**2 + 5*i + 4. Let d be o(-5). Suppose -f = d*f - 950000. What is f rounded to the nearest 10000? 190000 Suppose -3*q + 6 = -3*l, 2*q - 3*l = 2*l + 1. Suppose 5*t - 669842 - 620163 = -q*r, 0 = 2*r - t - 859999. Round r to the nearest one hundred thousand. 400000 Let s = -3.239849 - -3.24. Round s to five dps. 0.00015 Let r(d) = -27*d**3 - 9*d**2 - 6*d - 6. Let l be r(7). What is l rounded to the nearest one thousand? -10000 Let g = 0.47 + 0.08. What is g rounded to one decimal place? 0.6 Let n = 21.26 + 1.94. What is n rounded to the nearest integer? 23 Let w = -447.0000303 - -447. What is w rounded to five dps? -0.00003 Let v = 0.215 - -116.785. Let j = v - 98.8. Round j to the nearest integer. 18 Let b = -0.3408 + 67.6608. Let d = b + -66. What is d rounded to 1 dp? 1.3 Let s = 37.047 + -37. Let g = 0.0575 - s. What is g rounded to 3 dps? 0.011 Let o = -32 + 31.99999. What is o rounded to five dps? -0.00001 Let n = 317154 - 333919.1. Let d = 16601.199 + n. Let s = d + 164. Round s to two dps. 0.1 Let p = -3.6 + 3.776. What is p rounded to two dps? 0.18 Let f = 6442 - 12507. Let c = -4265 - f. Round c to the nearest 1000. 2000 Let f = -26.2 + 42.3. Let h = 17.21 - f. Let j = h + -1.109949. What is j rounded to five dps? 0.00005 Let i = 2.3 - 2. Let b = i - 4.3. Let t = b + 3.99928. Round t to 4 decimal places. -0.0007 Let c = -188 + 430. Let j = c + -152. Let i = -89.99999937 + j. What is i rounded to seven dps? 0.0000006 Let j = 0.510066 + -0.51. What is j rounded to 5 dps? 0.00007 Let l = 0.59 - 31.59. Let c = 30.9999983 + l. What is c rounded to six decimal places? -0.000002 Suppose -10715 - 5345 = -11*z. What is z rounded to the nearest one hundred? 1500 Let b = 123 - 185. Let m = -395.70059 + 457.7003. Let n = m + b. Round n to four dps. -0.0003 Let z = 3 + -29. Let k = 131.6 - 154. Let d = z - k. What is d rounded to 0 dps? -4 Let z = 6826 + -6820.9992. Let b = 5 - z. Round b to three dps. -0.001 Let x = -51 + 53.95. Let c = -3.107 + x. Let m = 0.15700126 + c. Round m to seven decimal places. 0.0000013 Let x = 0.49 - -91.51. Let y = x - 89.28. Round y to one dp. 2.7 Suppose -3*f - 1 = -2*f. Let o be 739999 + f/1 + 2. What is o rounded to the nearest 100000? 700000 Let y = -1.2 + 1.19999908. What is y rounded to seven dps? -0.0000009 Let z = 17.883 - 19.09. Let q = 6.2 - 5. Let c = z + q. What is c rounded to two decimal places? -0.01 Let h = 31.7478 - 0.0478. What is h rounded to the nearest integer? 32 Let o = 0.131 - 0.234. Round o to 2 decimal places. -0.1 Let x = 485 + -3
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
4*d**2 - 16*d + 22. Let w be n(5). Is 41 > w? False Let g = 3271/9 - 363. Suppose 3*n - 3*s = 6, 5*n - s - 1 = -5*s. Are g and n equal? False Let q = 553.08 - 553. Suppose 3*l - l = 4. Is q != l? True Let o = 32 - 80. Let u be ((-50)/90)/((-46)/o - 1). Is u equal to 2/7? False Let z be (0 + 1)/(4/12). Suppose -5*l = z*x + 16, -2*l - 3*l = 25. Suppose -c + 3*i = 7*i, -x*i = 0. Is -1 > c? False Let s(j) = -j**2 + j + 1. Let u be s(3). Let r = 0 - u. Let z(q) = q**3 - 6*q**2 + 5*q. Let t be z(r). Is -1/4 >= t? False Let f be 8 - 12 - (-2 - 16/6). Is -116 not equal to f? True Let u be (30/600)/((-4)/270). Is -2 > u? True Let t be (-1696)/(-4040) + 4/(-10). Let a = -152/2525 - t. Let q be -4 + 3/((-3)/12*-4). Which is bigger: a or q? a Let n(t) = -t**2 + 5*t + 6. Let q be n(4). Let j be (1/156)/(q/(-4) - -3). Which is greater: 0 or j? j Let x(y) be the third derivative of -y**6/120 - y**5/15 + y**3/2 - 9*y**2. Let w be x(-4). Which is smaller: 5 or w? w Let o = -601451 - -13226555/22. Let q = o - -244. Is q greater than or equal to 0? True Let f = -44.5 + 24.4. Let h = f - -20. Which is smaller: h or 12? h Suppose -6*w + 2*w + 2*m + 174 = 0, 207 = 5*w + m. Let d = 113 - w. Which is bigger: 72 or d? 72 Let x = -0.1 - -0.2. Let m = -0.1 + x. Let z = 158/5 + -157/5. Is z > m? True Suppose -26 = -42*d + 100. Let m = 0 + 0.4. Which is bigger: d or m? d Let b = 1165 - 1165. Is b at least as big as -4/881? True Let k be -62 + (-2 + 2)/(-2). Let h = -18080 + 18017. Is h > k? False Let r = -32 + 29. Suppose -2*u - 3 = 5. Is u at least as big as r? False Let y = -859 + 441. Which is greater: -2/5 or y? -2/5 Let h = 38 - -9. Suppose -50 = -5*q + 3*q - 2*t, h = 2*q + 3*t. Let x = q + -85/3. Is x greater than 0.4? False Suppose o = -4*h + 20, -6*o + 8 = -o - 3*h. Suppose 97 = 2*c + 5*r, -c - o*c + 330 = -5*r. Which is smaller: c or 60? 60 Let g(r) = 18*r - 73. Let p be g(4). Which is smaller: p or 0? p Let i = 12.32 - 13.92. Suppose 3*u = 3*j, -j - 2*u + 0*u = 0. Which is smaller: i or j? i Let x = 251 + -796. Which is greater: x or 0.1? 0.1 Let s = -12 + 10. Let h = 33/440522 + -2113717187/1236545254. Let o = h + -2/401. Are s and o non-equal? True Let g = -599 + 488. Is 3 not equal to g? True Suppose 5*p - n = 4, -5*p + 2*n - 1 = -4. Suppose p = -0*r - r. Let u = -26/7 + 404/105. Which is bigger: r or u? u Let s = -1.093 - -0.093. Let a be (-9)/(-15) - (-2)/(-4). Is s at least as big as a? False Let t be ((-1)/(-3))/(23/(-4002)). Which is smaller: -43 or t? t Let y = 991.4 + -1025. Is y smaller than -1/3? True Let n = -147.6 - -147.7. Which is smaller: n or -0.0053? -0.0053 Let d = -369 - -400. Which is smaller: d or 29? 29 Suppose 0 = -4*f - 25 + 25. Let y = f - -1. Is y != 1? False Let v = -193.7 - -13.7. Is -1/2 greater than v? True Let d = 25 - 25. Let r be 3/(-1) - (-2 + 0 - -1). Is r at most d? True Let s = -2325 + 2316. Is -0.05 less than s? False Let u(v) = -36*v**2 - 1. Let g be ((-2)/(-7) - -1) + 10/(-35). Let r be u(g). Is r less than or equal to -37? True Let v = -3845/4 + 967. Let a = -445/76 + v. Which is bigger: a or 0? 0 Suppose 0 = 13*r - 18*r - 5. Let d(k) = 2*k**3 + k**2 + 5*k + 4. Let o be d(-3). Let v be (-63)/o*2/(-3). Which is smaller: r or v? r Let d = 10/251 - 13664/2761. Which is smaller: -4 or d? d Suppose -h = -1, -603 = 2*y + 3*h - 4*h. Let k = -6341/21 - y. Let z = k + 2/3. Is z greater than 0? False Suppose 35*l = 21*l + 1708. Which is greater: l or 121? l Suppose 8*z - 5*z - 25 = r, -4*r = -3*z + 100. Let w be -1*(-3 + 28/10). Is r bigger than w? False Let l(k) = -6*k**2 + k - 10. Let h be l(4). Let n = h + 108. Is n greater than -6? True Let n = -9 + 31. Let q = n - 20. Which is smaller: q or 8? q Suppose 0 = -10*w + 76 - 6. Suppose 3*c - 27 = 6*c. Let m = w + c. Is m != 1? True Let l = -1 + 1.11. Let s = 1.49 - 1.4. Let o = s + l. Which is smaller: 6 or o? o Suppose 2*i - 31 = -57. Let v(o) = o**3 + 12*o**2 - 14*o - 10. Let m be v(i). Is m equal to 11/6? False Let d = -23283/5 - -160121/35. Which is smaller: d or -82? -82 Let r = -120 + 121. Let o = -433/6 + 72. Which is bigger: r or o? r Let a = 2147/5395 + -29/65. Which is smaller: a or -1? -1 Let x(h) = 5*h**3 - 3*h**2 + h + 3. Let d be x(-1). Is -3/10 >= d? True Let g = 0.01 - 0.41. Let s = -101.99 - -101.9. Which is greater: s or g? s Let x = 41 + -52. Let s = x - 11. Is -22 < s? False Let l be (0 + (-6)/(-12))*2. Is l != -2/103? True Let v be 0/1 + (-12)/(-780)*13. Which is greater: v or -29/3? v Let d = -2 + 2.08. Let t = d - 0.2. Let g = t + 0.09. Is g <= 0.2? True Suppose 0 = 2*t - o + 17, -2*t + 5*o = -0*o + 37. Let c be (-222)/(-4)*(-3)/t. Let l = 28 - c. Which is smaller: l or -2/31? -2/31 Let j = 66 - 66. Suppose j*n = -5*n + 130. Which is smaller: n or 27? n Let c(g) = -15*g + 6*g**2 - 20*g**2 - 12 + g**3 + 11. Let j be c(15). Do -20 and j have the same value? False Suppose -4*n - 2*p + 3624 = 0, 3*p + 3230 = 5*n - 1278. Let o = 20789/23 - n. Is 0 at least as big as o? True Let m = 2293.038 + -2291. Let q = 0.038 - m. Is -2 < q? False Let s(f) = f. Let z be s(1). Let c be -2 + z/2*2. Let h = -1/4766 - -2387/19064. Which is greater: h or c? h Suppose -3*z = -3, -18*f = -19*f + 4*z - 11. Suppose -i = -0*i + 8. Is i greater than f? False Suppose -3*s + 64025 = -48820. Let f be (s/(-50))/(7/2). Let g = 215 + f. Is g equal to 1? False Let m = 9 - 5. Let c be (-668)/52 - m/26. Are c and -12 equal? False Let m = 121 - -10. Which is bigger: m or 130? m Let o be ((16/2310)/4)/((-609)/3045). Is -1 at least as big as o? False Let a = -12 + 0. Let y = a + 12. Let d = 5/3 + -7/6. Is d less than or equal to y? False Let o be 59/295*(1 + 393/(-148)). Let h = 3/37 + o. Which is bigger: h or -23? h Let g = -470/3441 + 8/111. Which is bigger: -2 or g? g Let i = -9.6 + 10. Let l be (-3 - (-124)/40)/((-10)/(-25)). Is l != i? True Suppose 0 = -4*o - 4*a + 24, -24 = o + 3*a - 8*a. Is o greater than -1/438? True Let i = 55 - 51. Suppose 3 = i*x - 1. Which is bigger: 1/2 or x? x Let k = 12 + -10. Let d be 0/2*k/(-4). Suppose d*n - 22 = 2*n. Is n <= -11? True Let w(b) = b**3 + 39*b**2 - 40*b - 2. Let u be w(-40). Which is bigger: -0.12 or u? -0.12 Let z(b) = -2*b - 18. Let t be z(-11). Let u be (4/(-10))/(t/5). Let v be (0 - 1) + (2 - 2). Is v equal to u? False Let r(l) = l - 5. Let q be r(13). Let t(j) = j - 2. Let m be t(q). Let s be -2*m*(-4)/6. Which is greater: s or 7? s Suppose -68*g + 3 = -65*g. Let n(d) be the first derivative of d**4/4 + d**3/3 - d**2/2 + 2. Let l be n(-1). Is g > l? False Suppose 0 = -5*u - 2*l, -2*u - 5*l - 8 = 13. Let f be u/(-8) + (-161)/92. Let z = -9 + 5. Which is smaller: f or z? z Suppose 2*i - 6*i = -16. Let w(q) = 3*q - 10. Let g be w(i). Is g less than -0.4? False Let o = 186 + -191. Which is smaller: o or 49? o Let o = 555 - 549. Let t = -91 - -37. Let y be (-8)/6*t/12. Is y greater than o? False Let m = 231 - 268. Is 1/3 at most m? False Suppose 18 - 5 = -13*z. Which is smaller: z or -3/17? z Let d be (-2)/(8/(-20))*1. Let n be (45/2)/((-23)/(184/(-48))). Is n greater than d? False Let p(f) = 4*f + 3. Let r be p(4). Let j(n) = -n**2 - 7*n + 18. Let c be j(-7). Do r and c have the same value? False Let n = -22009/7 + 3160. Let f = -1429/91 + n. Which is smaller: 0.2 or f? f Let h be ((-18)/54)/((-2)/(-84)). Is h > -13? False Let i be 6/9 - (5 + 100/(-12)). Which is smaller: i or 23? i Let o be 9/(-6)*(-376)/12. Suppose 5*c + 17 - o = 0. Let y be (-2)/3*c/4. Are y and -1/8 non-equal? True Let j = 61 - 52. Let s be 284/(-18) + (-2)/j. Are s and -16 non-equal? False Suppose -2*f + 287 = 3*r, -202 = -2*r - 2*f + 6*f. Which is smaller: r or 96? 96 Suppose -3*k + 3*m + 26 - 5 = 0, 2 = -4*k - 2*m. Suppose -19 = -k*u + 5. Suppose 2*l + 4 = u. Does l = -0.3? False Suppose -v - 2*b = -1, 0 = v - 5*v - 3*b + 4. Let t be (2 - 1) + 0 - (v - 26). Which is bigger: t or 25? t Let j = -8 + 8.1. Let f = -0.97 + 0.9. Let r = 1.37 + f. Which is smaller: j or r? j Let r(d) = 5*d - 7. Let a be r(2). Suppose t - 9 = 3*j, 2*j - 5*t + 13 = a*j. Let h be (-302)/(-18) - j/9. Is h < 17? False Let a = 0.47 + 12.03. Let s = a + 1.5. Let n = s + -17. Is n smaller than -1/5? True Let g be 8/(-6) - 1371/(-9). Let s = 601/4 - g. Let a = 5/6 + s. Is 0 equal to a? False Let s(c)
{ "pile_set_name": "DM Mathematics" }
dreds digit of i(-15)? 7 Suppose 6*s + 4*s = 30. Suppose -920 = -s*j - 89. Suppose 0*h + 549 = 4*k + h, h - j = -2*k. What is the hundreds digit of k? 1 Suppose -3495 = -9*i + 9870. Suppose -36*t + i = -33*t. What is the tens digit of t? 9 Let l(y) = y**3 + 34*y**2 + 5*y - 26. What is the thousands digit of l(-26)? 5 Let u(a) = -37*a - 31. Let f be u(-6). Suppose -o - 3*z + 45 = 0, -z - z = -5*o + f. What is the tens digit of o? 3 Let s = 165409 + -108645. What is the thousands digit of s? 6 Let c(o) = -o**3 - 4*o**2 - 3*o + 2. Let y be c(-3). Let l(v) = -v - 2*v - 10*v**2 + v**2 + 10*v**y. What is the units digit of l(5)? 0 Suppose -12 = -542*w + 539*w. Suppose w*k = 2726 - 854. What is the units digit of k? 8 Suppose -45*j = 11*j - 503726 - 861946. What is the tens digit of j? 8 Suppose -98*t = -97*t + 13. Let k be (-11 - t)*((-9)/2)/(-3). Suppose 203 = 4*j + k*a, 2*a + 8 = -j + 65. What is the tens digit of j? 4 Let d = -225 - -485. Let m = -11 + d. Suppose 2*x - m = -x. What is the tens digit of x? 8 Let n be (417/2)/((-6)/((-240)/4)). Let c = n + -1357. What is the hundreds digit of c? 7 Suppose 6*j - 622 = 1046. Let q = 788 - j. What is the hundreds digit of q? 5 Let z = 36 + -34. Let w be 8/((-8)/z) - 149. Let u = w - -227. What is the tens digit of u? 7 Let y(i) = i + 17. Let f be y(-14). Let q(v) = -2 + 0*v**3 - 2*v**f - v**3 + 0*v**3. What is the units digit of q(-2)? 2 Let t = -61 - -63. Suppose -t*w - k = -47, -4*w - 3*k + 45 = -52. Let v = 122 - w. What is the tens digit of v? 0 Suppose 4*x = 2*p - 9870, 115*p - 111*p - 19728 = -4*x. What is the tens digit of p? 3 Let g(k) = 28*k - 12. Let r be g(-3). Let m be 14/4*r/(-84). What is the units digit of (m/(-5))/(8/(-1360))? 6 Let d(h) = 2*h**2 - 63*h - 29. Let x be d(32). Suppose j - 5*u = 121, x*j - 6*u + 3*u - 303 = 0. What is the units digit of j? 6 Suppose -976 = -5*l + 714. Let q be (-96)/(-224) - 179/(-7). Suppose -28*z + q*z = -l. What is the tens digit of z? 6 Suppose 0 = 2*f - 4*z + 2, 4*f - 6*f = 3*z + 2. What is the units digit of (-9 - 0) + 1097 - (-1)/f? 7 What is the thousands digit of 970255/275 - 3/15? 3 What is the units digit of 780/18*(88352/80 + -4)? 4 Suppose -3*f = -c - 7, 0 = c + c - 2*f + 2. Suppose 3*q + 4*x = -30, -c*q - 2*x - 19 = -1. What is the units digit of -6*3/q + 233? 6 What is the tens digit of (-10)/(-55) - (9/(-18))/(11/42610)? 3 Suppose -1200 = 5*p + 45*p. What is the hundreds digit of 392/3*(-54)/p? 2 Suppose -2*f + i - 8 = -3*f, 2*f = i + 4. Let t(x) = -9*x + 0*x**2 + 2*x**2 - f + 4*x**2 - x**2. What is the tens digit of t(5)? 7 Let w(c) be the third derivative of -c**6/120 - c**5/10 - 3*c**4/4 + 7*c**3/3 - 46*c**2. What is the hundreds digit of w(-8)? 2 Suppose -111451 = -15*m + 276269. What is the hundreds digit of m? 8 Suppose -11*m + 73 = -81. What is the units digit of (m/21)/(4/4800)? 0 Suppose -24 = -3*d, -453*d + 456*d - 55868 = -4*w. What is the ten thousands digit of w? 1 Suppose -13*c + 460 = -9*c. Let r(x) = -2*x**2 + 15*x + 14. Let f be r(11). Let d = c + f. What is the units digit of d? 2 Let l be (-3)/4 + (-2 - (-21615)/(-44)). Let a = -228 - l. What is the tens digit of a? 6 Let h(q) = -11 + 6*q**2 - 73*q**3 + 140*q**3 + 47*q - 29*q**2 - 66*q**3. What is the hundreds digit of h(22)? 5 Suppose 2*b - 2 = 0, p + 6*b + 1 = 3*b. What is the thousands digit of ((p - -5) + 466)*4/1? 1 Let u = -255 + 249. Let q(t) = 11*t**2 - 2*t + 5. What is the units digit of q(u)? 3 Suppose -12245 = -8*y + 2051. What is the hundreds digit of y? 7 Let m be 1/1 - (13 - 1322). Suppose -2*j = -5*g - 1310, 0 = -2*j + 7*g - 12*g + m. What is the tens digit of j? 5 Let c(s) = 20*s**2 - s - 40. Let w be c(7). Suppose 4*z = w - 169. What is the units digit of z? 1 Let l(z) = -3*z + 14. Let y be l(-9). Let v = -2 + 5. Suppose 2*b + 3*k = y, -4*k = b - v*b + 34. What is the tens digit of b? 1 Let t be (-560)/266 - (-4)/38. What is the hundreds digit of (t + (-18)/12)*-284? 9 Suppose o + 107 = -2*p, -209 = 4*p - 2*o - o. Let n = 58 + p. Suppose -n*x = 2*u - 14, -5*u + 0*u + 5*x = 0. What is the units digit of u? 2 Suppose -18 = 3*v, 78*s - v - 48480 = 75*s. What is the ten thousands digit of s? 1 Suppose 0 = 472*p - 733*p + 11976768. What is the hundreds digit of p? 8 Let j(t) = -t**2 - 18*t - 59. Suppose s - 5 + 25 = -2*o, -4*s = 2*o + 8. What is the tens digit of j(o)? 1 Let z = -304 + 324. Suppose 2 = o, -z*n + 194 = -18*n - 2*o. What is the units digit of n? 9 Let f = 193 - 189. Suppose -4*w + 3*v + 2085 = -w, 2756 = 4*w + f*v. What is the hundreds digit of w? 6 Suppose 2*o + 4*k - 736 = 0, -4*o - 2*k + 1508 = -3*k. Suppose 0 = -8*i + 928 + o. Let b = i + -24. What is the hundreds digit of b? 1 Suppose -2*k - 49*z + 17514 = -53*z, 0 = -5*k - 5*z + 43710. What is the thousands digit of k? 8 Let f(x) = 114*x**2 - 11*x + 18. Suppose j + 2*q = 3, 3*j + 2*q - 4 = 5. What is the thousands digit of f(j)? 1 Let x(r) = 6*r**2 + 6*r - 53. Let k be x(0). Let p = 30 + 29. Let u = p + k. What is the units digit of u? 6 Let c = 23 + -16. Suppose c*z - 8*z = -2. What is the tens digit of (-262)/(1 + -3) + 2/z? 3 Suppose 0 = j - 4*w + 24, -3*j + 4 = w + 11. Let f be j/((-900)/(-453) - 2). Suppose 0 = -2*p - 104 + f. What is the units digit of p? 9 Let x = -174 + 163. Let p(u) = -50*u - 232. What is the units digit of p(x)? 8 Let q(m) = 11*m - 72. Let k be q(8). Let j(n) = n. Let w(u) = 15*u - 8. Let d(g) = -6*j(g) + w(g). What is the units digit of d(k)? 6 Let k(d) = -19*d + 133*d + 30*d. Let b be k(1). Let v = 215 - b. What is the units digit of v? 1 Let b(j) = 78*j**2 - j. Let k be 2/5 + (-161)/(-35). Suppose 7 = 3*o - 5*m, 3*o - 2*o - k*m = 9. What is the tens digit of b(o)? 7 Let p be (3 - 5) + (-297)/(-9). Suppose -p = d - 2*d. What is the tens digit of d? 3 Suppose 7228 = 5*d - 34*o + 31*o, 5*o = 5*d - 7230. What is the thousands digit of d? 1 Let r = 3969 + 13093. What is the units digit of r? 2 Let i(m) = m**2 + 2*m - 11. Let o be 3 + -16 + 4 + 4. Let c be i(o). What is the tens digit of 0 - (c/(-5))/(26/3575)? 1 What is the thousands digit of 27650 + (-31)/(341/(-231))? 7 Let f(a) = 128*a**2 - 66*a - 9. What is the tens digit of f(-10)? 5 Let h = -4816 + 11541. What is the hundreds digit of h? 7 Let f(a) be the third derivative of -a**6/120 - a**5/20 + a**4/12 + 2*a**3/3 - 8*a**2. Let p be f(-3). What is the units digit of p/(-9) + 305/45? 7 Suppose -368 = -15*l - 8*l. Suppose 13*w = l*w + 3*d - 1962, 0 = -2*w - d + 1309. What is the units digit of w? 5 Let m = 809 + -1082. What is the units digit of (-20305)/(-21) + (-26)/m? 7 Suppose -d + 17575 = -3*z, 1431*d - 2*z - 17572 = 1430*d. What is the ten thousands digit of d? 1 Let m(b) = 4*b + 4. Let h be m(-4). Let q be 5/(-1)*1274/(-455). What is the units digit of 24/q - h/42? 2 Let p = 29411 + -10533. What is the tens digit of p? 7 Let j = -32100 + 47717. What is the units digit of j? 7 Suppose -7*j - 74 - 66 = 0. Let m = j - -22. Suppose -m*b + 194 = -5*q, 3*q = -3*b + q + 253. What is the units digit of b? 7 Let x(l) = l**2 - l. Let t be x(-2). Let s be (-2 - (-14)/t) + 868/(-12). Let v = 112 + s. What is the tens digit of v? 4 Let h(w) = -w**3 + 34*w**2 - 59*w - 424. What is the hundreds digit of h(30)? 4 Suppose -4*u - 380 = 8*w - 3*w, w = -2*u - 70. Let c = 166 - w. What is the tens digit of c? 4 Let y(f) = -13*f**2 + 19*f + 11. Let g be y(6). Let r = g + 1062. What is the tens digit of r? 1 Suppose 733 = -208*y + 209*y + 3*n, -3*y = -2*n - 2254. What is the units digit of y? 8 Let f = 9900 + -6237. What is the tens digit of f? 6 Let a = -15340 - -25125. What is the tens digit of a? 8 Suppose -6*g - 8 = -7*g. Let a be 2/g*40/10. What is the units digit of (23*a)/(18/108)? 8 Suppose 0 = -119*d + 71*d + 363979 + 647957. What is the thousands digit of d? 1 Suppose -5*k + 5*w + 199815 = 0, k + k - 79936 = 4*w. What is the thousands digit of k? 9 Let h = -183 + 185. Suppose -h*p + 3*u + 43 = -326, p = 4*u + 192. What is the hundreds digit of p? 1 Suppose -65700 - 24837 = -3*u - 3*h, 2*h = 3*u - 90542. What is the tens digit of u? 8 Let i = 87 + -66. Let d be i/(-35)*(-10)/2. Suppose 0 = d*s + 44 - 602. What is the units digit of s? 6 Let f = 33474 + -14818. What is the hundreds digit of f? 6 Let s(u) = u - 3
{ "pile_set_name": "DM Mathematics" }
ferent values? True Suppose 3*r + r = 36. Suppose 5*j - r = 4*a, -2*a - 2*a = 4. Which is smaller: -1/6 or j? -1/6 Let o = -0.227 - -1.227. Is o greater than -2/9? True Let u(z) = 1 - z**2 + 0*z**2 + 0*z - z. Let r be u(-2). Let l be (-315)/(-329) - (1 - 0). Which is greater: l or r? l Suppose -9*r = -2*u - 4*r - 1711, 2*r - 856 = u. Do u and -858 have different values? False Let f be ((-2)/3)/(6/(-108)). Let v = -11 + f. Let a be ((-2)/4)/(v/12). Which is greater: -7 or a? a Let f = 7 + -5. Let d(m) = -m**3 + m**2 + m + 2. Let u be d(f). Let p be 0 + 5 + -4 + u. Is -3/17 greater than p? False Let a = -221 - -219.77. Let w = a - -0.93. Do w and -0.07 have different values? True Let y = -754 + 753. Do y and 2/589 have the same value? False Let h be -15 + 342/24 - (-274)/408. Which is greater: h or 2? 2 Let w(p) = p + 2. Let q be w(7). Let x be (0 - 6)/(q/(-12)). Are 6 and x equal? False Let q = -638 - -638.45. Is 2 at most q? False Let x be (1/2)/(7/196). Is 26 greater than or equal to x? True Let c = -20759684/57 + 363876. Let y = 329 + c. Which is bigger: y or 1? 1 Let b be ((-6)/3)/((-16)/72). Is 168/17 greater than b? True Suppose -2*o + 3*n = 16, 0 = -o + 6*n - 4*n - 10. Let u be o/(12/(-9)*-1). Suppose -124*y - 15 = b - 128*y, -3*b - 3*y = 0. Which is smaller: u or b? b Let p(b) = 7*b**2 - b - 2. Let v be p(2). Let t = v - 22. Is t > 3? False Suppose 1596 = -22*q + 25*q. Which is smaller: q or 533? q Let q be 1/9 - 196/(-2772). Which is greater: q or -1? q Let s = -138 - -107. Is s >= -31? True Suppose 2*t - 6*t - 8 = 0, 5*w - 8 = -t. Suppose -3 = -5*z - 3*f + 11, 0 = w*z + f - 5. Is 1/71 > z? False Let p(g) = -g**2 + 18*g - 19. Let b be 5*((-7 - -2) + 8). Let n be p(b). Is n at most 28? True Let p(m) = -30*m + 56. Let q be p(2). Which is greater: q or -58/11? q Let i = 61 + -62. Let s be 1 + -1 + 3/12. Is i < s? True Let x(i) = 4*i - 31. Let f be x(-6). Let m = 57 + f. Are m and 8 non-equal? True Let q = 37.29 - 39.2. Let i = q - -0.21. Let r = i + 1.5. Is r at most as big as -2/15? True Suppose 3 = -c - 3*c + 3*v, 2*c + 4*v = 4. Let g = 24 - 16. Suppose 0 = -5*r + y + 2, -2*r - g = -r - 3*y. Are c and r equal? False Let v(n) = -n + 1. Let y be v(-2). Let m be 4 + (-15)/y + 4. Suppose -3 = -m*g + 3. Is 1 smaller than g? True Let o be 7 - (3/9)/(1/(-3)). Let s(q) = -q**3 + 6*q**2 - 4*q + 5. Let j be s(5). Is o bigger than j? False Let a(c) = -2*c**3 + 8*c**2 + 24*c - 1. Let o be a(6). Is 1/1130 bigger than o? True Suppose 3*k - 1 = -l + 4, 4*l = -k + 20. Suppose -f - o = -k*f - 2, 6 = 2*o. Is f bigger than 1? False Let x = -32 + 37. Suppose a + 17 = -x. Which is smaller: -19 or a? a Suppose 200 = 2*f + 3*f. Let a be (-1)/(-3) + f/(-30). Let i = -4 + a. Is 0.2 at most as big as i? False Let g(h) = 2*h - 15. Let j(x) = 4*x - 31. Let n(z) = -11*g(z) + 6*j(z). Let o be n(13). Is o smaller than 5? False Suppose 0 = 3*d + 1 - 4. Suppose -5*o - 2*i + 6 = 0, 4*i = 4*o + 9 + 3. Is d at most o? False Let c be 2/18*(215/15 + -5). Do c and 2 have different values? True Suppose 5*u = -2*f - 579 - 6699, -2*u - 2912 = f. Which is greater: -1455 or u? u Let w = 139 - 138.9. Which is greater: w or 3.16? 3.16 Let p be (-782)/(-1785) + (-2)/(-15). Let v = p - 19/21. Is 0 > v? True Let f(q) = -q**2 + 9*q + 18. Let a be f(11). Let c be a/(-84)*1*6. Let g(l) = l**3 + 4*l**2 - 4*l + 4. Let b be g(-5). Is b at least as big as c? False Let o(u) = u**2 + 11*u + 23. Let n be o(-8). Let b = 1/2 + -11/10. Is b less than n? False Let u be -6*(3 - 129/6). Suppose u + 97 = -13*a. Which is bigger: a or -17? a Let c = 112 + -124.91. Let k = c - 0.09. Let w = k + 12. Which is bigger: 2 or w? 2 Let k = -51.9 - -49. Let w = -75 + 66.1. Let j = k - w. Which is bigger: j or 2/7? j Suppose -9*y + 217 - 46 = 0. Is y > 20? False Let z(d) = -d**2 + 5*d - 10. Suppose -3*i = -9 - 6. Let o be z(i). Which is smaller: o or -2? o Let a be ((-287)/14)/((-3)/(-2) + -2). Let v = a + -41. Is -4 bigger than v? False Let o(w) = -2*w + 1. Let v be o(-1). Let h(y) = y**3 - 4*y**2 + 3*y + 4. Let k be h(v). Let c be (-4*(-1)/k)/(-1). Are 2 and c nonequal? True Let n = -15.0271 + 0.0271. Are 3 and n non-equal? True Let a = -2/2301 - -10744/6903. Which is greater: a or 3? 3 Let m be 1/((-17)/(-9) - 2). Let i = -0.0076 + -0.9924. Are i and m unequal? True Let s = -28.3 + 23. Let w = s - -8.2. Let v = 2.7 - w. Is 0.07 >= v? True Let n = -698 + 60727/87. Which is smaller: 1 or n? n Let c be ((-5)/(140/(-904)))/1. Let i = c - 32. Which is smaller: i or -2/9? -2/9 Let j = 1.91 + -1.85. Which is smaller: 24 or j? j Let w = -10/117 + 133/1404. Suppose 25*c - 22*c = 3. Is w at most as big as c? True Suppose -5*n = -3*h - 22, 0 = -n - 0*h - h - 2. Suppose -5*i + 76 = -4*b, -i + 38 = -n*b + i. Is b < -18? True Let z = -457 + 491.7. Let l = z - 35. Which is bigger: 1/4 or l? 1/4 Let g(v) = 3*v + 14. Let z(a) = a**2 - 7*a + 2. Let r be z(4). Let t be g(r). Which is greater: -29/2 or t? -29/2 Let y = 219 + -166. Let v be (18/(-72))/(1 - 54/y). Which is bigger: 12 or v? v Let o = 39 - -17. Let k = -59 + o. Let y = -4 + 1. Is k smaller than y? False Let o = -35 + 35.15. Let t = o - 0.05. Is t > -6/5? True Suppose c - 5*c = 32. Let g = c + 9. Which is greater: 3 or g? 3 Let k = 108.64 + -109. Let g = 0.26 + k. Which is bigger: -11 or g? g Let b = -0.39 + -0.61. Let i(v) = 6 + 6 - 6 - v. Let t be i(6). Which is smaller: t or b? b Suppose 3*t = -13 - 20. Let c = t + 13. Let h = 7 + -6. Does h = c? False Let t(q) = -3*q - 37. Let y be t(-11). Let s be 1/y*-1 - (-3)/(-12). Do 3/20 and s have different values? True Suppose 106*g - 876 = 107*g. Which is bigger: g or -874? -874 Let s = -2.5 + 0.5. Let v = 2 + s. Let g = -192 + 194. Which is smaller: g or v? v Suppose -2*w - 77 = -19. Suppose 34 = -f + m, 2*f = 2*m - 7*m - 40. Is f at most w? True Suppose 4*m + 39 = 3*v - 4, -3*v - 2*m = -37. Suppose v = 5*z + 103. Let n be 189/z*(-8)/(-6). Is -14 at most n? True Let k(i) be the first derivative of -i**3/3 - 5*i**2/2 - 6*i + 15. Let n be k(-2). Let u = -3032/2535 - 2/507. Which is smaller: u or n? u Let j = 12 - 34. Is -25 greater than j? False Let f be (-3)/(-6) + (-17)/(-13). Let v = f + -4/13. Which is smaller: 1 or v? 1 Let d = 74 + -39. Let c = -36 + d. Is -2/9 greater than c? True Let l(o) = -o + 1. Let c be l(-6). Let w = c + -6. Which is smaller: w or -2/25? -2/25 Let y be (((-20)/48)/(10/(-6)))/((-25)/760). Let p = 6 + -13. Is y less than p? True Suppose -4*l + 234 = -3*s, -2*l + 186 = l + 3*s. Let p = l + -56. Which is bigger: 0 or p? p Suppose 0 = -5*z + 2*z + u + 887, -16 = -4*u. Is 3 at most as big as z? True Suppose 0 = -u + 2, -4*f - 2*u = -0*f - 32. Let o be 24/(-210) - 2/f. Suppose -4*l = l, -4*l = -r - 1. Is o at least as big as r? True Let t = 1909 + -1835. Is t != 6? True Let q = -62 + 42. Let s = 18 + q. Do -2/3 and s have the same value? False Let w(v) = v**3 + 9*v**2 - 9*v + 13. Let h be w(-10). Suppose -9 = -3*f + h*n, -2*f = -f - 5*n - 19. Which is bigger: -3/7 or f? -3/7 Let a(o) = -2*o**3 + 8*o**2 - o + 2. Let p be a(4). Let t(w) = w**3 + 7*w**2 + 7*w + 6. Let g be t(-6). Let s be g/(-5)*p/(-4). Are 2/21 and s equal? False Let k = 154 + -136. Which is greater: k or 15? k Let a be 1 + (-13)/8 - -1. Suppose 3*f + 27*f = -12*f + 42. Is f < a? False Let b be (-1 - -1)/(-3 - -7 - 3). Is -4/9 bigger than b? False Let j be (-393)/(-2)*(-7)/(-42). Which is smaller: j or 34? j Suppose -5*u + 190 = q + 4*q, 111 = 3*u + 2*q. Let l = -49 + u. Is -14 < l? False Let n = 2/329 - 11260/12173. Which is greater: -2 or n? n Suppose -2*f = -3*b - 10 + 3, 0 = 3*b - 3. Suppose 3*x = d + 9, f*x + d + d = 26. Suppose -x*k + 8*k = 4. Is -3/11 at most as big as k? True Let w = 1005 + -1011. Is -36 smaller than w? True Let s be (-54)/140 + (-8)/(-16). Let t = 113/70 - s. Which is bigger: 2 or t? 2 Let w = 5.372 - 0.272. Is w greater than 0.2? True Let d be 9 + 15/(-3) - 2618/737. Which is smaller: -1 or d? -1 Let c = 2.9 - 2.8. Which is smaller: 73 or c? c Let l(n) = -3*n**2 + 7*n + 4. Let c be l(4). Let d be 1 - 4/(c/(-28)). Let s be (4/(-6))/((-10)/d). Which is smaller: 1 or s? s Let y = 1508 - 1915. Which is smaller: y or -409? -409 Let i be 2*2/16*3. Let z = -1/172 + 353/1548. Which is smaller: z or i? z Let r(x)
{ "pile_set_name": "DM Mathematics" }
= 0. -4, -3, 10/27 Let y(w) be the first derivative of w**6/3 - 12*w**4 - 128*w**3/3 - 48*w**2 - 369. Factor y(u). 2*u*(u - 6)*(u + 2)**3 Factor 2*o**3 + 117 - o**4 - 16*o**2 + 10*o**3 + 48*o**2 - 48*o - 261 + 2*o**4. (o - 2)*(o + 2)*(o + 6)**2 Find c, given that 8*c**4 + 476*c**2 + 13075 - 13075 - 124*c**3 - 360*c = 0. 0, 1, 9/2, 10 Suppose -33*a + 266*a + 53*a - 582 = -5*a. Factor -11/2*m**a + 0 - 1/4*m**3 - 10*m. -m*(m + 2)*(m + 20)/4 Let q(i) = 253*i**2 - 307*i - 3461. Let j(z) = -1416*z**2 + 1688*z + 19036. Let p(b) = 5*j(b) + 28*q(b). Factor p(m). 4*(m - 48)*(m + 9) Let b(v) = 4*v**3 - 30*v**2 - 169*v + 84. Let x(j) = 9*j**3 - 61*j**2 - 374*j + 167. Let m(h) = 14*b(h) - 6*x(h). Factor m(c). 2*(c - 29)*(c - 1)*(c + 3) Let g = -329525 + 2965727/9. Factor 0 - g*r**2 + 4/9*r**3 - 2/9*r**4 + 0*r. -2*r**2*(r - 1)**2/9 Let d be 15/10*448/12. Suppose -4*o + d = 3*o. Factor 3*u**2 - o*u + 0*u**2 - u**2. 2*u*(u - 4) Let j(n) = -n - 2. Let k(x) = 3*x + 5. Let p(l) = -8*j(l) - 3*k(l). Let w(g) = -g**3 - 2*g**2 + 9*g + 3. Let a(i) = 20*p(i) + 4*w(i). Solve a(o) = 0 for o. -2, 2 Factor 31*q**2 - 1/3*q**4 + 29/3*q**3 + 32/3 + 95/3*q. -(q - 32)*(q + 1)**3/3 Let i(b) be the second derivative of 0 - 11/80*b**5 + 231*b + 1/4*b**2 - 2/3*b**4 - 19/24*b**3. Factor i(h). -(h + 1)*(h + 2)*(11*h - 1)/4 Let c(l) be the second derivative of 3*l**5/40 + 53*l**4/4 - l**3/4 - 159*l**2/2 - 722*l - 2. Find t such that c(t) = 0. -106, -1, 1 Let n(j) = -2*j**2 - j - 1. Let r = 43 - 44. Let l(m) = 10*m**2 + 10*m + 4. Let h(d) = r*l(d) - 4*n(d). Factor h(a). -2*a*(a + 3) Suppose -5 = -2*i + 1. Let n be (18 - 18)/(9 - 14). Factor -d**i - 15/4*d**5 + 0*d**2 + n - 4*d**4 + 0*d. -d**3*(3*d + 2)*(5*d + 2)/4 Let h(m) be the first derivative of -25*m + 1/20*m**5 + 18*m**2 - 11/12*m**4 + 4*m**3 + 6. Let i(p) be the first derivative of h(p). What is n in i(n) = 0? -1, 6 Let m(l) be the second derivative of 2*l**4/15 + 9137*l**3/15 + 2284*l**2/5 - 54*l + 27. What is b in m(b) = 0? -2284, -1/4 Suppose 4*y - 42 = -s, -5*s + 3309 - 3259 = 4*y. Suppose -y*c**2 - 85/9*c**3 + 4/9*c + 22/9*c**4 + 8/9 + 7/3*c**5 = 0. What is c? -2, -1, -1/3, 2/7, 2 Let d(h) = -h**2 - 19*h + 36. Let x be d(-17). Let g be (2/(-10))/(791/x + -12). Find o such that -24/7*o - 26/7*o**2 - 8/7 - g*o**4 - 12/7*o**3 = 0. -2, -1 Factor 3/4*m**3 - 675 - 39/2*m**2 - 1005/4*m. 3*(m - 36)*(m + 5)**2/4 Let d be -2 - -1 - 1*(-2 + -3). Factor 5*m**2 - m**5 - 5*m**2 + 0*m**d - 4*m**3 - 5*m**4. -m**3*(m + 1)*(m + 4) Let b(r) = -43*r**2 - 67*r + 11. Let c(v) = 19*v**2 + 32*v - 5. Let z(y) = 6*b(y) + 15*c(y). Find w, given that z(w) = 0. -3, 1/9 Let b(k) be the first derivative of -k**4/2 + 20*k**3/3 + 375*k**2 - 9000*k - 3714. Factor b(h). -2*(h - 15)**2*(h + 20) Let d be (-160)/(-27 - -47) + 62/6. What is y in -4/3*y**2 - 1 - d*y = 0? -1, -3/4 Let h = -3566 + 3566. Let f(q) be the third derivative of h*q**4 + 0*q**6 + 0 - 1/735*q**7 + 18*q**2 + 0*q**3 + 0*q + 1/210*q**5. Factor f(i). -2*i**2*(i - 1)*(i + 1)/7 Let m = 161 - 157. Factor 7*l - 9*l**2 - 2 + 76*l**m + 71*l**4 - 217*l**4 + 69*l**4 + 5*l**3. -(l - 2)*(l - 1)**3 Let o = 2185634 - 2185632. Let x be (3/(-2))/(2/(-4)). Factor 1/5*y**4 + 3/5*y**x + 0 - 4/5*y**o + 0*y. y**2*(y - 1)*(y + 4)/5 Let f(p) be the first derivative of 7/5*p**2 - 11 - 1/15*p**3 - 24/5*p. Factor f(c). -(c - 12)*(c - 2)/5 Let f(b) = -b**2 + 29*b + 30. Let y be f(-1). Let m(n) be the first derivative of 3/10*n**4 - 3/25*n**5 + 0*n**3 + y*n + 0*n**2 + 7. Factor m(r). -3*r**3*(r - 2)/5 Let t(c) be the third derivative of -c**6/60 - 65*c**5/6 - 24*c**2 - 7. Factor t(v). -2*v**2*(v + 325) Factor 227*s**4 + 12*s - 224*s**4 + 43 + 17 + 10*s**2 - 55*s**2 + 6*s**3. 3*(s - 2)**2*(s + 1)*(s + 5) Suppose 0 - 32*g**2 + 12/5*g + 196/5*g**3 - 48/5*g**4 = 0. Calculate g. 0, 1/12, 1, 3 Suppose -3*v + 12*v = 657. Let x be (v/(-949))/((-4)/26). Factor -x*n**2 + 1/2 + 0*n. -(n - 1)*(n + 1)/2 Let h be 408/40*(64/12 + -2). Suppose 59*w - h = 84. Factor -48/5*t + 21/5*t**w + 36/5 - 3/5*t**3. -3*(t - 3)*(t - 2)**2/5 Let r(t) be the second derivative of -t**5/4 - 65*t**4/4 - 90*t**3 + 6*t - 422. Factor r(m). -5*m*(m + 3)*(m + 36) Let h(c) be the second derivative of -c**4/6 + 128*c**3/3 + 2869*c. Factor h(q). -2*q*(q - 128) Let l(o) = -105*o**2 - 3895*o + 3880. Let v(n) = 31*n**2 + 1298*n - 1293. Let w(r) = 3*l(r) + 10*v(r). Factor w(f). -5*(f - 258)*(f - 1) Suppose -11*f = -6*f. Suppose 2*z + 9 = -3*n, f*z - 15 = 4*z + 5*n. Factor z*a + 0 - 1/3*a**3 + 2/3*a**2. -a**2*(a - 2)/3 Factor -22/7*j - 1452/7 + 2/7*j**3 + 32/7*j**2. 2*(j - 6)*(j + 11)**2/7 Suppose -3*w + 130 = -4*t, -110 = -2*w - 2*t - 0*t. Factor 80*v**5 - 39*v**5 + 164*v**3 - 37*v**5 - w*v**4 + 218*v**4. 4*v**3*(v + 1)*(v + 41) Let w(l) be the third derivative of -9*l**2 - 1/9*l**4 + 0 - 1/30*l**5 + 4/9*l**3 + 1/315*l**7 + 1/90*l**6 + 0*l. Factor w(g). 2*(g - 1)**2*(g + 2)**2/3 Let g(r) = r**2 + r - 30. Let a be g(6). Factor -2 + 112*j + a*j**2 + 8 - 85*j. 3*(j + 2)*(4*j + 1) Factor -168*j**2 - 971175312 - 452*j**2 - 2834*j**2 - 2552*j**2 - 3706776*j + 1290*j**2 - 2*j**3. -2*(j + 786)**3 Let h(t) = 15*t + 3. Let w be h(1). Let 12 - w - 10*x**3 + 16*x + 4*x**2 + 0*x**3 + 6 + 2*x**4 = 0. What is x? -1, 0, 2, 4 Factor 188*x**2 + 4*x**3 - 5832 + 228*x + 1356*x + 36*x - 332*x**2. 4*(x - 18)*(x - 9)**2 Let a = -925620/11 + 6479406/77. Factor 2/7*h**2 + 8/7*h + a. 2*(h + 1)*(h + 3)/7 Let i = 29762 - 326614/11. Let w = 5464/77 - i. Factor -24/7*a**2 - 16/7 + w*a**3 - 1/7*a**4 + 32/7*a. -(a - 2)**4/7 Let k(s) be the second derivative of -235*s**4/4 + 865*s**3/6 - 80*s**2 - 4221*s. Determine y, given that k(y) = 0. 32/141, 1 Let z(b) = 2*b**3 - 62*b**2 + 58*b + 20. Let h be z(30). Let j be -35*((-36)/h)/(-9). Factor 9/2*i**2 - j*i**3 - i + 0. -i*(i - 1)*(7*i - 2)/2 Determine f, given that 6343*f**3 - 315*f**2 - 126 - 1006*f + 63*f**2 - 6311*f**3 - 1748*f**2 = 0. -1/4, 63 Suppose 3*d - 5041 = 3*w + 2030, -3*w + 4704 = 2*d. Find p such that -p + 1018*p + 136*p**2 + 2359*p**3 - d*p**3 + 139*p = 0. -17, 0 Let z(y) be the first derivative of -y**4/14 - 44*y**3/21 - 20*y**2 - 400*y/7 + 1044. Factor z(i). -2*(i + 2)*(i + 10)**2/7 Suppose 2*z - 270 = -p, 12*z - 11*z + 1350 = 5*p. Let d be (-5)/30 + 261/p. Factor d*i**2 + 36/5 - 24/5*i. 4*(i - 3)**2/5 Let a(i) be the first derivative of -i**3/18 + 7*i**2/3 + 10*i + 714. Determine y, given that a(y) = 0. -2, 30 Let b be ((-18)/(-10))/(-52 - 2104/(-40)). Factor -3/4*o**b - 3/2*o**2 + 0 - 3/4*o. -3*o*(o + 1)**2/4 Let y(t) be the second derivative of 2/9*t**3 - 6*t - 7 + 1/3*t**2 + 1/18*t**4. Find b, given that y(b) = 0. -1 Let v be (-318)/42 - (0 + 4/(-7)). Let b(g) = -4*g**2 - 37*g - 23. Let d(s) = 4*s**2 + 34*s + 22. Let f(j) = v*d(j) - 6*b(j). Factor f(x). -4*(x + 2)**2 Let d(k) be the first derivative of 17/14*k**4 - 12/7*k**2 - 2/7*k**5 - 16/21*k**3 + 0*k - 77. Factor d(v). -2*v*(v - 2)**2*(5*v + 3)/7 Let s(t) = t**3 - 35*t**2 - 499*t + 782. Let j be s(-12). What is i in 140/3*i - 100/3 - 35/3*i**j - 5/3*i**3 = 0? -10, 1, 2 Let n(v) be the first derivative of v**6/12 + 17*v**5/10 - 19*v**4/4 + 587. Factor n(x). x**3*(x - 2)*(x + 19)/2 Factor 12/5 + 16/15*h**2 + 14/5*h + 2/15*h**3. 2*(h + 2)*(h + 3)**2/15 Suppose 3*s = s - 2, -8 = -2*a + 100*s - 98*s. Factor -72 + 2/3*i**a - 10*i**2 + 48*i. 2*(i - 6)**2*(i - 3)/3 Let p(v) be the first derivative of -4*v**3/21 + 52*v**2/7 - 480*v/7 + 1099. Solve p(x) = 0. 6, 20 Factor -3864675 + 2142*b**2 + 2161*b**2 - 4306*b**2 + 6810*b. -3*(b - 1135)**2 Let q = -2134/87 + 866/29. Factor 4/3*i**3 + 0 + q*i**2 - 4/3*i**4 - 16/3*i. -4*i*(i - 2)*(i - 1)*(i + 2)/3 Factor 0 + 2*l**2 + 0*l + 294*l**4 + 36*l**5 + 193/4*l**3. l**2*(l + 8)*(12*l + 1)**2/4 Solve -102*r - 4*r + 22*r + 32 + 72*r**2 - 20*r**3 = 0 for r. 1, 8/5 Let q = -108 - -115. Let -290*w**2 - q*w**5 + 300*w**2 + 15*w**3 + 2*w**5 = 0. What is w? -1, 0, 2 Let b(g) be the first derivative of -2 + 1/4*g**2 + 3/2*g**3 - 9/2*g - 1/8*g**4. Factor b(n). -(n - 9)*(n - 1)*(n + 1)/2 Let l = -305/3 + 3373/33. Let p(z) = 2*z**3 + 13*z**2 + 6*z + 3. Let d be p(-6). Find m, given that -6/11*m**d + 6/11*m + l - 6/11*m**2 = 0. -1, 1 Let t = -56 + 170/3. Suppose 0 = 64*m - 72*m. Determine r so that t*r**2 + 0*r + m*r**4 - 1/3*r**5 + r**3 + 0 = 0. -1,
{ "pile_set_name": "DM Mathematics" }
rivative of -2*j**5/15 + 2*j**2. Let k be 1 + (-5)/(-5) + 21. Let b(g) = -k*g + 20*g + 3 - 3. Determine b(u(x)). 24*x**2 Let h(l) be the second derivative of 0 + 0*l**2 - 43/12*l**4 + 0*l**3 + 34*l. Let z(t) = 2*t. Give z(h(k)). -86*k**2 Let a(o) be the first derivative of o**3/3 + o - 14. Let h(r) be the first derivative of a(r). Let d(y) = -14*y**2. What is d(h(g))? -56*g**2 Let c(d) be the second derivative of -d**3/3 - 2*d. Let h(i) = 692 + 24*i - 2*i - 692. What is c(h(g))? -44*g Let k(h) = h + 6. Let n(b) = -50*b**2 - 6. Determine k(n(q)). -50*q**2 Let c(a) = -8*a**2. Let o(w) be the third derivative of w**6/720 - w**4/12 + w**2. Let p(v) be the second derivative of o(v). What is c(p(m))? -8*m**2 Let v(d) = 7*d**2. Let g(q) = 1684*q + 19. Calculate g(v(p)). 11788*p**2 + 19 Let x(u) = 2*u + 10. Let l(s) = -4*s - 60*s**2 - 52*s**2 + 4*s + 116*s**2. What is x(l(p))? 8*p**2 + 10 Let a = 3 + 2. Suppose -3*f = -4*s - 14, 4*s + s = 3*f - 13. Let x(n) = a - 11 + f + n. Let i(m) = -m. Determine i(x(h)). -h Let k(l) = -2*l. Let f(c) = c**2 - c - 35. Calculate f(k(v)). 4*v**2 + 2*v - 35 Let h(r) be the first derivative of r**2/2 - 105. Let q(z) = -2*z**2 + 172. What is q(h(b))? -2*b**2 + 172 Let v(q) = 4*q**2. Let m(d) = 10472*d**2. Give v(m(b)). 438651136*b**4 Let o(n) = 2112*n + 7. Let q(d) = 1055*d + 3. Let l(h) = -3*o(h) + 7*q(h). Let r(j) = -2*j**2. What is r(l(y))? -2200802*y**2 Let g(b) = 7*b. Let s(o) = 16*o. Let l(k) = -5*g(k) + 2*s(k). Let x(u) = -24*u**2. Determine l(x(w)). 72*w**2 Let j(h) = h. Let z(k) = 2*k - 242253. What is j(z(f))? 2*f - 242253 Let s(v) = -3*v**2 + 43 - 20 - 23. Suppose 1 = 2*x - 5. Let m(u) = -2*u**2. Let a(b) = -b**2. Let f(g) = x*a(g) - m(g). Determine s(f(o)). -3*o**4 Let k(v) = -31*v - 7. Let z(g) = 26*g + 8. Let u(q) = -4*k(q) - 5*z(q). Let j(h) = 5*h. Give j(u(s)). -30*s - 60 Let m = 31 - 29. Let g(v) = 24*v**2 - 8*v**2 - 17*v**m. Let x(a) = 17*a. What is x(g(j))? -17*j**2 Let j(u) = 0*u - 6*u + 3*u. Let o(p) = -4*p**2 + 7*p. Let a(m) = m. Let r(d) = -14*a(d) + 2*o(d). Determine j(r(f)). 24*f**2 Let b(u) = -u. Let r(k) = k. Let d(j) = -4*b(j) - 3*r(j). Let g be 20/(-8)*8/(-10). Let c(z) = -2*z**2 - 2*z**g + z**2 + 7*z**2. What is d(c(v))? 4*v**2 Let r(w) = -3*w**2. Let z(c) be the first derivative of c**3 + 7*c**2/2 + 61. Determine z(r(j)). 27*j**4 - 21*j**2 Let k(h) = h**2. Let x(q) be the first derivative of -q**3/3 + 29*q + 70. Calculate k(x(g)). g**4 - 58*g**2 + 841 Let i(t) = -44*t. Let g be (-42)/(-7)*4/(-3). Let b(x) = -29*x. Let y(r) = g*b(r) + 5*i(r). Let k(j) = -j. Give k(y(l)). -12*l Let j(d) = 6*d**2 + 5 + 6*d**2 - 4*d**2. Let o(x) = 4*x**2 + 2. Let m(s) = 2*j(s) - 5*o(s). Let u(q) = 3*q + 0 - 7 + 7. What is m(u(k))? -36*k**2 Let t(p) = -4*p**2. Let r be ((-4)/(-2) - 0) + 5. Let g(n) = -r*n**2 - 44*n + 44*n. Calculate t(g(s)). -196*s**4 Let b(p) = -5*p**2. Let l(z) be the third derivative of 0*z + 0*z**3 + 0 - 9*z**2 + 5/24*z**4. Calculate l(b(d)). -25*d**2 Let f(h) = 2*h**2. Let v(k) = 72137*k. What is v(f(n))? 144274*n**2 Let o(h) = 7*h. Let a(v) be the first derivative of v**5/20 + 19*v**2/2 + 23. Let s(y) be the second derivative of a(y). What is s(o(p))? 147*p**2 Let h(l) = -l**2. Let s(f) = -8 + 3 - 1. Let o(d) = d**2 + 6*d - 10. Let j be o(-8). Let p(a) = -a + 13. Let z(q) = j*p(q) + 13*s(q). Determine h(z(r)). -36*r**2 Let t(m) = 2*m - 15. Let b(l) = -3. Let v(i) = 30*b(i) - 6*t(i). Let n(p) = -21*p**2. What is n(v(w))? -3024*w**2 Let d(m) = 8*m. Let c(x) = -5610*x. Calculate d(c(v)). -44880*v Let h(c) = c - 270. Let p(x) = 173*x**2. Determine h(p(j)). 173*j**2 - 270 Let h(p) = -p. Let x(m) = -30690*m - 7. What is x(h(o))? 30690*o - 7 Let p(v) = -1429*v**2. Let k(c) be the third derivative of c**4/12 - 15*c**2 + 7*c. What is p(k(q))? -5716*q**2 Let s(m) = 2*m**2. Let x(f) = -25*f + 7*f**2 + 25*f - 21*f**2. Determine s(x(j)). 392*j**4 Let c be (-190)/(-16) - 7/(-56). Let p be 6/(-4)*c/3. Let o(a) = 13*a. Let b(g) = -27*g. Let m(u) = p*b(u) - 13*o(u). Let l(x) = -x**2. Calculate m(l(i)). 7*i**2 Let m(s) = 2*s**2. Let a(h) = -3*h**2 + 4*h. Let f be 4 - -5*(-1)/5. Let k(x) = x. Let p(c) = f*a(c) - 12*k(c). Give p(m(n)). -36*n**4 Let n(a) = -a + 1. Let t(d) = d**2 + 3 + 2*d**2 + 14*d - 32*d + 15*d. Let l(j) = 3*n(j) - t(j). Let k(w) = 7*w. What is k(l(b))? -21*b**2 Let z(p) be the first derivative of -3 - 11/6*p**3 + 2*p + 0*p**2. Let b(c) be the first derivative of z(c). Let m(g) = g**2. Determine m(b(k)). 121*k**2 Let i(d) = -6*d**2. Let c(z) = -26863*z. Determine c(i(y)). 161178*y**2 Let c(p) be the second derivative of 7*p**4/6 + 63*p. Let z(n) = 25*n. Calculate c(z(o)). 8750*o**2 Let y(h) be the second derivative of 4*h**3/3 - h + 10. Let n(t) = -2*t. What is y(n(f))? -16*f Let f(l) = 10*l**2. Let w(c) = 8*c**2. Let t(p) = -5*f(p) + 6*w(p). Let o(k) = 11*k + 2. Give t(o(d)). -242*d**2 - 88*d - 8 Let l(v) = -6*v - 4. Let q(a) = -477*a. Calculate q(l(j)). 2862*j + 1908 Suppose -3*u - 4*p + 8 = -14, 0 = u - p + 2. Let d(z) = 8*z**2 - z**2 - 5*z**u. Let t(c) = -7*c**2 - 5*c**2 + 3*c**2. Determine d(t(k)). 162*k**4 Let u(w) = 4*w**2. Let m(h) be the second derivative of -h**3/6 - 99*h**2/2 + 49*h - 3. Determine m(u(o)). -4*o**2 - 99 Let z(s) = -s**2 + s - 1. Suppose 6 = 6*j + 18. Let p(o) = 30*o**2 - 27*o + 27. Let h(a) = j*p(a) - 54*z(a). Let y(g) = 2*g**2. Determine h(y(u)). -24*u**4 Let u(w) = w**2 + 42*w. Let k(n) = 733*n**2. Calculate u(k(p)). 537289*p**4 + 30786*p**2 Let b(l) = -15*l - 6. Let w be 5*((-20)/25 + 2). Let t(o) = -44*o - 17. Let p(f) = w*t(f) - 17*b(f). Let n(j) = 2*j**2. Determine p(n(z)). -18*z**2 Let z(w) = 17*w. Let n(u) = 2*u. Let p(a) = -4*a. Let v(h) = -9*n(h) - 4*p(h). Let q(j) = -j. Let l(m) = 6*q(m) - 2*v(m). Calculate z(l(y)). -34*y Let s(u) = -35*u. Let m(n) = -4*n - 2. Let a(p) = -23*p - 11. Let g(t) = -4*a(t) + 22*m(t). Determine s(g(k)). -140*k Let j(r) = -25*r**2. Let k(w) be the first derivative of 4*w**2 - 53. What is k(j(n))? -200*n**2 Suppose 25*j = 65*j. Let r(n) be the third derivative of 0*n + 0*n**3 + 1/24*n**4 + 11*n**2 + j. Let c(v) = -2*v**2. Give r(c(x)). -2*x**2 Let j(u) = -371*u**2. Let a(b) be the first derivative of b**2 + 260. Calculate a(j(d)). -742*d**2 Let j(l) = -8*l. Let a(d) = -10*d**2 - 30*d. Let y(r) = -24*r**2 - 60*r. Let x(s) = -5*a(s) + 2*y(s). Calculate x(j(g)). 128*g**2 - 240*g Let i(u) = -49*u. Let j(m) = -596*m**2. Give i(j(q)). 29204*q**2 Let m(g) = -30*g. Let i(c) be the first derivative of -c**4/24 + 23*c**2/2 - 10. Let r(f) be the second derivative of i(f). What is m(r(a))? 30*a Let z(c) = 2*c. Let k(d) be the first derivative of -d**5/24 + 16*d**3/3 - d**2 - 26. Let q(v) be the third derivative of k(v). Give q(z(r)). -10*r Let j(p) = -2383*p - 1. Let f(d) = 177*d. What is f(j(u))? -421791*u - 177 Let o(z) = -z**2. Let m(y) = -91 - 25 + 31 - 2*y**2 + 11. Give o(m(d)). -4*d**4 - 296*d**2 - 5476 Let m(n) = -5*n + 7. Let g(u) = -u**2 + 1095*u - 6. Determine m(g(a)). 5*a**2 - 5475*a + 37 Let h(m) = -42*m**2. Let z(d) = 8*d**2 + 24*d + 24. Let c(v) = 3*v**2 + 10*v + 10. Let w(t) = 12*c(t) - 5*z(t). Determine h(w(j)). -672*j**4 Let m(z) = 131648*z**2 + 1089*z. Let r(n) = 242*n**2 + 2*n. Let u(h) = 2*m(h) - 1089*r(h). Let v(y) = -2*y**2. What is u(v(p))? -968*p**4 Let l(c) = -2*c. Suppose 0 = 3*m - 3*n, -m - 3*m + 8 = 4*n. Let t(h) = h. Let p(r) = m*l(r) + 6*t(r). Let b(q) = 6*q. Determine b(p(f)). 24*f Let p(s) = -15*s. Let a(h) be the first derivative of -h**3/6 + 33*h - 30. Let t(r) be the first derivative of a(r). Calculate p(t(w)). 15*w Let j(c) = c**3 + 2*c**2 - 2*c + 3. Let o be j(-3). Let d(g) = o*g + 2*g + g. Let r(z) = 13*z**2 + 4*z**2 + 18*z**2 - 37*z**2. Determine d(r(a)). -6*a**2 Let f(j) = -8*j + 42*j - 10*j. Let a(x) = -5*x. Give f(a(g)). -120*g Let y(b) = -3*b**2 + b**2 - 8*b**2. Let w be ((18/27)/(2/(-3)))/(-1). Let v(u) = u**2 - 2*u. Let z(k) = k. Let l(f) = w*v(f) + 2*z(f). Determine l(y(a)). 100*a**4 Let z(w) = -w. Let j(d) = -143*d - 15. Give j(z(l)). 143*l - 15 Let w(p) = -2*p. Let x = 20 + -14. Let d(b) = -b**2 - 6 + 3*b**2 + x. Give w(d(z)). -4*z**2 Let x(o) = 69*o**2 - 2*o - 532. Let z(w) = -2*w**2. What is x(z(h))? 276*h**4 + 4*h**2 - 532 Let v(l) = 3*l**2. Let f(b) = -161*b. Let o(z) = 801*z. Let h(p
{ "pile_set_name": "DM Mathematics" }
9, -718535, -958065, -1197615? -w**3 + 2*w**2 - 239507*w - 5 What is the o'th term of -247955704, -247955705, -247955706, -247955707, -247955708, -247955709? -o - 247955703 What is the x'th term of 68781, 137577, 206373, 275169, 343965, 412761? 68796*x - 15 What is the l'th term of -79436355, -158872701, -238309033, -317745345, -397181631, -476617885, -556054101, -635490273? l**3 + l**2 - 79436356*l - 1 What is the n'th term of 44263248, 88526511, 132789774, 177053037? 44263263*n - 15 What is the t'th term of 23136, 46367, 69598, 92829, 116060? 23231*t - 95 What is the u'th term of -35038, -35122, -35220, -35338, -35482, -35658? -u**3 - u**2 - 74*u - 34962 What is the h'th term of -118, -4138, -15948, -39442, -78514, -137058? -649*h**3 - h**2 + 526*h + 6 What is the c'th term of 9551592, 19103181, 28654770, 38206359, 47757948, 57309537? 9551589*c + 3 What is the s'th term of 116748, 233937, 351566, 469635, 588144? 220*s**2 + 116529*s - 1 What is the d'th term of 121747, 121814, 121885, 121960, 122039, 122122, 122209? 2*d**2 + 61*d + 121684 What is the m'th term of 1107288, 1107161, 1107034, 1106907, 1106780? -127*m + 1107415 What is the k'th term of 551944, 551847, 551750, 551653, 551556? -97*k + 552041 What is the p'th term of 112831335, 225662667, 338493999? 112831332*p + 3 What is the b'th term of 7070009, 7070019, 7070035, 7070057, 7070085, 7070119, 7070159? 3*b**2 + b + 7070005 What is the l'th term of 3405, 13556, 30463, 54126, 84545? 3378*l**2 + 17*l + 10 What is the c'th term of -241, -308, -433, -616? -29*c**2 + 20*c - 232 What is the i'th term of 1773847, 1774283, 1775009, 1776025, 1777331, 1778927? 145*i**2 + i + 1773701 What is the d'th term of 750, 626, 496, 360, 218, 70? -3*d**2 - 115*d + 868 What is the a'th term of 958, 1150, 1306, 1414, 1462? -2*a**3 - 6*a**2 + 224*a + 742 What is the z'th term of -1177, -3004, -5449, -8512, -12193, -16492? -309*z**2 - 900*z + 32 What is the w'th term of -52, -455, -1580, -3793, -7460? -61*w**3 + 5*w**2 + 9*w - 5 What is the a'th term of -8390, -32869, -73656, -130751, -204154? -8154*a**2 - 17*a - 219 What is the t'th term of 12065, 37363, 62661, 87959, 113257? 25298*t - 13233 What is the b'th term of -456, -780, -1000, -1056, -888, -436, 360, 1560? 10*b**3 - 8*b**2 - 370*b - 88 What is the r'th term of 5292, 17704, 38398, 67374? 4141*r**2 - 11*r + 1162 What is the m'th term of -249488, -249209, -248934, -248663? -2*m**2 + 285*m - 249771 What is the y'th term of 95538, 95542, 95548, 95556, 95566, 95578, 95592? y**2 + y + 95536 What is the w'th term of -77939, -311083, -699657, -1243661? -77715*w**2 + w - 225 What is the i'th term of -770, -1517, -2240, -2939? 12*i**2 - 783*i + 1 What is the m'th term of -371476, -1486570, -3345058, -5946940, -9292216, -13380886? -371697*m**2 - 3*m + 224 What is the o'th term of 3287, 10438, 22395, 39158, 60727, 87102, 118283? 2403*o**2 - 58*o + 942 What is the s'th term of -538329, -538320, -538311? 9*s - 538338 What is the u'th term of -80564, -80899, -81234, -81569, -81904? -335*u - 80229 What is the x'th term of 25076, 25509, 25930, 26333, 26712? -x**3 + 440*x + 24637 What is the a'th term of 1324, 2039, 2704, 3295, 3788, 4159? -4*a**3 - a**2 + 746*a + 583 What is the i'th term of -624150, -1249107, -1874064, -2499021, -3123978? -624957*i + 807 What is the g'th term of -12062431, -24124868, -36187305, -48249742, -60312179, -72374616? -12062437*g + 6 What is the c'th term of 166389, 166422, 166465, 166518? 5*c**2 + 18*c + 166366 What is the m'th term of -12442, -49580, -111408, -197926, -309134, -445032? -12345*m**2 - 103*m + 6 What is the l'th term of -3936, -8055, -12174, -16293? -4119*l + 183 What is the r'th term of 26049, 110026, 249987, 445932, 697861, 1005774, 1369671? 27992*r**2 + r - 1944 What is the p'th term of 4248207, 8496412, 12744617, 16992822, 21241027, 25489232? 4248205*p + 2 What is the s'th term of 12370342, 12370349, 12370360, 12370375? 2*s**2 + s + 12370339 What is the s'th term of 404, 4784, 9172, 13568? 4*s**2 + 4368*s - 3968 What is the r'th term of -223205, -892660, -2008419, -3570482, -5578849, -8033520, -10934495? -223152*r**2 + r - 54 What is the u'th term of 3751, 14924, 33539, 59590, 93071? -u**3 + 3727*u**2 - u + 26 What is the i'th term of 4695, 4565, 4457, 4383, 4355? 2*i**3 - i**2 - 141*i + 4835 What is the x'th term of -1346063, -1346067, -1346075, -1346087? -2*x**2 + 2*x - 1346063 What is the j'th term of 7584, 7539, 7580, 7707, 7920, 8219? 43*j**2 - 174*j + 7715 What is the p'th term of 289, 1217, 3441, 7603, 14345? 107*p**3 + 6*p**2 + 161*p + 15 What is the v'th term of 4363114, 8726224, 13089334, 17452444? 4363110*v + 4 What is the b'th term of -570437, -1140845, -1711253, -2281661? -570408*b - 29 What is the f'th term of -3884811, -7769617, -11654423, -15539229? -3884806*f - 5 What is the s'th term of 53963, 54042, 54255, 54668, 55347, 56358, 57767, 59640? 11*s**3 + s**2 - s + 53952 What is the u'th term of 9934, 39499, 88776, 157765? 9856*u**2 - 3*u + 81 What is the z'th term of -36, -467, -1172, -2151, -3404, -4931, -6732? -137*z**2 - 20*z + 121 What is the w'th term of 1290346, 1290349, 1290352, 1290355, 1290358, 1290361? 3*w + 1290343 What is the p'th term of 7582, 15746, 24472, 33760? 281*p**2 + 7321*p - 20 What is the y'th term of -3048048, -3048055, -3048068, -3048087, -3048112, -3048143? -3*y**2 + 2*y - 3048047 What is the s'th term of 1108548, 2217155, 3325762, 4434369, 5542976, 6651583? 1108607*s - 59 What is the u'th term of -10096704, -10096690, -10096674, -10096656, -10096636? u**2 + 11*u - 10096716 What is the x'th term of -14741930, -29483856, -44225782, -58967708, -73709634, -88451560? -14741926*x - 4 What is the a'th term of -461448, -461498, -461582, -461700? -17*a**2 + a - 461432 What is the r'th term of -268824, -268830, -268836, -268842, -268848, -268854? -6*r - 268818 What is the c'th term of -952, -3780, -8538, -15262, -23988, -34752? -6*c**3 - 929*c**2 + c - 18 What is the l'th term of -2293, -7118, -11943, -16768, -21593? -4825*l + 2532 What is the q'th term of -1647, -3753, -5821, -7845, -9819, -11737, -13593? q**3 + 13*q**2 - 2152*q + 491 What is the u'th term of -2732098, -10928382, -24588850, -43713502? -2732092*u**2 - 8*u + 2 What is the y'th term of 10212, 40855, 91922, 163413, 255328? 10212*y**2 + 7*y - 7 What is the j'th term of -588697, -2354841, -5298411, -9419401, -14717805, -21193617, -28846831? j**3 - 588719*j**2 + 6*j + 15 What is the g'th term of 11552981, 23106024, 34659067, 46212110, 57765153, 69318196? 11553043*g - 62 What is the c'th term of -17127, -34180, -51127, -67914, -84487, -100792, -116775? 9*c**3 - c**2 - 17113*c - 22 What is the a'th term of -26573, -106353, -239319, -425471, -664809, -957333, -1303043? -26593*a**2 - a + 21 What is the s'th term of -22842, -45877, -69094, -92493, -116074, -139837, -163782? -91*s**2 - 22762*s + 11 What is the i'th term of 47934, 95880, 143836, 191802, 239778, 287764, 335760? 5*i**2 + 47931*i - 2 What is the q'th term of 88254, 176209, 263854, 351195, 438238? q**3 - 161*q**2 + 88431*q - 17 What is the q'th term of -509000, -509095, -509190? -95*q - 508905 What is the h'th term of 2664, 1980, 1292, 600? -2*h**2 - 678*h + 3344 What is the s'th term of -429378, -858741, -1288098, -1717449, -2146794, -2576133? 3*s**2 - 429372*s - 9 What is the n'th term of -23816029, -23816048, -23816079, -23816122, -23816177? -6*n**2 - n - 23816022 What is the n'th term of 147098, 146300, 145502? -798*n + 147896 What is the n'th term of 40279, 79160, 118041, 156922, 195803, 234684? 38881*n + 1398 What is the a'th term of -44225759, -44225762, -44225765, -44225768, -44225771? -3*a - 44225756 What is the x'th term of -14789736, -14789734, -14789730, -14789724, -14789716, -14789706, -14789694? x**2 - x - 14789736 What is the s'th term of -1159277, -1159229, -1159181? 48*s - 1159325 What is the z'th term of 47557, 190231, 428033, 760969, 1189045, 1712267, 2330641? z**3 + 47558*z**2 - 7*z + 5 What is the f'th term of 12708, 50729, 114090, 202785, 316808, 456153? -f**3 + 12676*f**2 + 33 What is the a'th term of -17031, -34151, -51253, -68337, -85403? 9*a**2 - 17147*a + 107 What is the b'th term of 1883446, 3766893, 5650340? 1883447*b - 1 What is the g'th
{ "pile_set_name": "DM Mathematics" }
**2 - 2*j. Let d(b) = b**3 - 6*b**2 - 8*b + 3. Let k be d(7). Let o be i(k). What is the highest common divisor of o and 32? 8 Let j = -461 - -869. Suppose 5*y - j + 133 = 0. Suppose 3*x + 66 = 6*x. What is the greatest common divisor of y and x? 11 Let j be (1400/21)/8 - (-2)/3. Calculate the greatest common divisor of 108 and j. 9 Let z(h) = 2*h - 12. Let o be z(11). What is the greatest common divisor of o and 40? 10 Suppose -2*t = -26 - 22. What is the greatest common divisor of 216 and t? 24 Let y(q) = 9*q - 11*q + 15*q. Let i be y(1). What is the highest common divisor of 39 and i? 13 Let o(u) = 3*u + 21. Let n be o(-5). Let l(d) = d**2 - 1. Let z be l(-4). Calculate the highest common factor of z and n. 3 Let r(i) = 0 - 12*i + 1 - 4 - i**2. Let m = 12 - 21. Let t be r(m). What is the highest common divisor of 4 and t? 4 Suppose 0 = 2*g + 3*g - 360. Suppose -4*i = -g + 28. Let q be ((-2)/(-3))/((-6)/(-99)). What is the greatest common divisor of i and q? 11 Let w(g) = -g**3 + g + 3. Let b be w(0). Suppose -1 = -a, a = -3*n - 3*a + 16. Let o = n + b. What is the highest common factor of 7 and o? 7 Let g be (2 - 5) + 6 - -12. What is the highest common divisor of 45 and g? 15 Let v be 6/(-21) - (-1110)/14. Suppose -h = 4*g + g - 29, 0 = 5*h + 3*g - v. Let u be 164/h + (-4)/(-14). Calculate the highest common factor of u and 60. 12 Let x = 4 + -8. Let p = x + 7. Calculate the greatest common divisor of 2 and p. 1 Suppose 3*i + 2*a - a - 149 = 0, 0 = 4*i + 5*a - 184. What is the highest common divisor of i and 34? 17 Let t = 8 + 10. Calculate the highest common factor of 18 and t. 18 Let x be (-20)/15 - 2/3. Let f(s) = 5*s + 4. Let b(a) = a + 1. Let u(y) = 4*b(y) - f(y). Let r be u(x). Calculate the greatest common factor of 6 and r. 2 Let i(b) = 5*b - 11. Let c be i(16). Calculate the highest common factor of c and 3. 3 Let i = 29 + -53. Let z(s) = -5*s**3 - 2*s**2 + 2*s - 1. Let u be z(1). Let c be (26/u)/(1/i). Calculate the greatest common factor of 13 and c. 13 Let i(u) = 2*u**3 + 12 + 0*u - u**3 - u. Let g = -1 - -1. Let n be i(g). Calculate the greatest common divisor of n and 96. 12 Suppose 30 = w + 5*w. What is the highest common divisor of 2 and w? 1 Let x be (-2 - -4) + 1 + 3. Suppose x = -6*y + 24. Calculate the greatest common factor of y and 6. 3 Let v be 151 + 3 + (0 - 4). Calculate the greatest common factor of v and 60. 30 Suppose 3*a + 94 = 4*a + 4*l, -274 = -3*a - 4*l. What is the highest common factor of 30 and a? 30 Let f = -27 - -62. Let k = 31 + f. Suppose 2*o = 2*d - 12, 0 = 5*o - 4*o. What is the greatest common factor of k and d? 6 Let n(m) = 2*m**3 - 5*m**2 + 2*m. Let z = 1 - -2. Let p be n(z). What is the highest common divisor of 6 and p? 3 Let u(h) = -h**2 + 6*h. Let f be u(5). Suppose -3*m + 2*a = -m - 24, -f*m = 5*a - 10. Suppose -4*s + 31 = m. What is the greatest common factor of 54 and s? 6 Let i(k) = -k**2 + 5*k. Let b be i(5). Suppose b = -0*m + 5*m - 125. What is the highest common factor of 25 and m? 25 Suppose -2*t = 2*a - 164, -3*t - 260 = -6*t + 4*a. Suppose -n + 84 = 3*n. Calculate the greatest common divisor of t and n. 21 Let t be (0 - 0)/(-2) - -2. Let x(r) = 2*r**2 + 22*r + 66. Let n be x(-7). Calculate the highest common factor of t and n. 2 Suppose 0 = -4*h + 390 - 110. What is the greatest common divisor of h and 10? 10 Let i = -30 - -86. Calculate the highest common divisor of i and 14. 14 Suppose -5*b = -1 - 4. What is the greatest common factor of 9 and b? 1 Suppose 2*o = -4*o + 120. What is the greatest common factor of 4 and o? 4 Suppose 4*u + u + n = 55, -u = -3*n - 27. What is the highest common factor of u and 84? 12 Suppose -25*o + 184 = -23*o. What is the highest common factor of 230 and o? 46 Let u = -78 - -130. Let v = -16 + u. Let i = 61 - v. What is the greatest common factor of i and 10? 5 Let u be (-6 - 2)*(-2 - 0). Calculate the greatest common divisor of 8 and u. 8 Suppose -348 - 146 = -2*v. Calculate the highest common factor of v and 13. 13 Let c(i) = -2*i**2 + 11*i + 3. Let w be c(5). Calculate the highest common factor of w and 64. 8 Let t(l) = -12*l - 4. Let u(z) = -11*z - 3. Let c(g) = 3*t(g) - 4*u(g). Let h be c(2). What is the highest common divisor of 2 and h? 2 Suppose -2*q + 9 - 3 = 0. Suppose 7*i = q*i + 128. What is the highest common factor of i and 48? 16 Suppose 8 = w + 7. What is the greatest common divisor of w and 1? 1 Suppose -j - 3*o = -2*j - 110, 530 = -5*j - 5*o. Let p be 8/(-28) + j/(-7). Let b = 5 - 0. Calculate the highest common divisor of b and p. 5 Let c(j) = -j**3 - 7*j**2 - 8. Let b be c(-7). Let t be ((-2)/b)/((-5)/(-60)). Calculate the greatest common factor of 33 and t. 3 Suppose 4*s = -s. Suppose s = -0*t + 2*t. Suppose -3*z + 270 = -t*z. What is the greatest common divisor of z and 10? 10 Suppose -5*x + 2*x + 12 = 0, -4*v = -x - 60. What is the highest common factor of 16 and v? 16 Let q(d) = 3*d**2 + 5 + d**2 - 7*d - 5*d**2 + d. Let z be q(-6). What is the highest common factor of 25 and z? 5 Let f(r) = -37*r + 13. Let l be f(-2). What is the greatest common divisor of l and 29? 29 Suppose -2*c = -3*c + 2. Suppose 0 = 4*b + 3*v - 9, -4*b - 2*v = -2*b - c. Calculate the greatest common divisor of b and 30. 6 Let y(b) = b**2 - 18*b + 64. Let k be y(15). Calculate the highest common divisor of 247 and k. 19 Let y(k) = -k**3 + 4*k**2 + 6*k - 3. Let a be y(5). Suppose -a*c + 21 + 51 = 0. Calculate the highest common divisor of 9 and c. 9 Let y be (-29 + 5)*15/(-12). Calculate the greatest common divisor of 10 and y. 10 Let u = 1 - -2. Let o(x) = -x**3 + 8*x**2 - 4*x - 1. Let h be o(7). Suppose -3*y + 16 + h = 0. What is the highest common factor of u and y? 3 Suppose 34*n = 38*n - 204. Let i = -20 + 37. What is the highest common factor of i and n? 17 Let h = 11 - -209. What is the highest common divisor of h and 22? 22 Suppose 18 = d - 4*j - 7, -3*d - 3*j = 0. Let a = 25 + 30. Calculate the greatest common divisor of d and a. 5 Let l be (1/(-3))/(2/(-24)). Let u(k) = k - 7. Let n be u(7). Let q(x) = -x**3 - x**2 - x + 44. Let t be q(n). Calculate the highest common divisor of l and t. 4 Suppose j - 792 = -2*j. Calculate the greatest common divisor of 24 and j. 24 Suppose 0 = -2*u + 7 + 1. Suppose 27 = u*t - t. Let l = -30 + 57. What is the greatest common factor of t and l? 9 Let f = 7 + 5. Suppose -3*x = -0*x - f. Calculate the greatest common divisor of x and 1. 1 Let n be (5 - 4 - 31)*-1. What is the greatest common factor of 75 and n? 15 Suppose 3 = -2*p + 33. What is the highest common divisor of 45 and p? 15 Let u be (8/6)/(6/(-18)). Let p(b) = b**3 + 4*b**2 - 4*b. Let w be p(u). Let v = -21 - -61. What is the greatest common factor of v and w? 8 Suppose 0 = -2*l - 5 - 19. Let g = -8 - l. Let z be (-7 + 3)*(-2)/4. Calculate the greatest common factor of g and z. 2 Let k(d) = 1. Let s(n) = n + 11. Let b(g) = -5*k(g) + s(g). Let w be b(-3). Let q be 2/((-1 + w)/80). Calculate the highest common divisor of q and 10. 10 Suppose -2*u = -c - 2, -c + u + 2*u - 5 = 0. Let k be c/12 + (-71)/(-3). Suppose 3*i - 19 = 17. Calculate the greatest common factor of i and k. 12 Let o be 35 - 2/2 - 1. Let g = o - 10. What is the greatest common factor of 115 and g? 23 Suppose 7*h = 8 + 83. What is the highest common divisor of h and 39? 13 Suppose 4*t - 2*r + 91 = -3*r, 0 = -2*t + r - 53. Let d = 40 + t. Let u be ((-72)/(-4))/(-2*(-4)/64). Calculate the highest common divisor of d and u. 16 Let i(r) = -4 + 0 + 2*r - r**3 - 5*r + 6*r**2 + 7. Let m be i(3). What is the greatest common divisor of 14 and m? 7 Suppose -45 = -2*y + 13. Let v = 27 + y. What is the greatest common factor of 8 and v? 8 Let l be 11*25 + -1 + 2. Let f = l - 92. Calculate the greatest common factor of 23 and f. 23 Let j = 6 + -4. Let h be (4/j - -9) + 1. Calculate the highest common divisor of 4 and h. 4 Suppose 5*u - 100 = -5*d, 0*d - 2*d - 68 = -4*u. Calculate the greatest common divisor of 45 and u. 9 Suppose 0 = -8*f + 3*f + 5. Calculate the highest common factor of f and 1. 1 Let v(m) = 3*m**2 - 7*m + 6. Let i be v(1). Calculate the greatest common factor of i and 2. 2 Let k(o) = 3 - 25*o - 5 - 1 + 4. Let n be k(-1). Let x = -15 + n. What is the highest common factor of 11
{ "pile_set_name": "DM Mathematics" }
-2*b**2 - 18*b - 41. Let o be 1*(90/(-16) + 6 - 54/16). Give k(o). -5 Let f = -4188 + 4152. Let b(j) = -j**2 - 37*j - 41. Give b(f). -5 Suppose 5*w = -m - 9 + 65, 2*m - w = 101. Let t = -48 + m. Let p(y) = 4*y + 0*y + 3 - y + t*y**2 - y**3. Give p(4). -1 Let j(h) be the third derivative of h**6/120 + h**5/60 - h**4/12 - h**3/2 - 365*h**2. Calculate j(3). 27 Let d(w) = -w**3 - 1. Let l(b) = 4*b**3 - 4*b**2 + 5 - b - 8*b**2 + 13*b**2. Let p(t) = 3*d(t) + l(t). Give p(-3). -13 Let p(f) be the first derivative of 4*f**3/3 - 11*f**2/2 + 4*f - 1031. Calculate p(3). 7 Let t = 6 + 6. Suppose -z - t = -3*z. Let w(y) be the third derivative of y**4/24 + y**3/3 - 723*y**2. Determine w(z). 8 Let l = 133 + -125. Suppose -114 - 166 = -l*o. Let w = o + -37. Let z(x) = x**3 - 3*x**2 - 4*x - 3. What is z(w)? -15 Let b(i) be the first derivative of i**3 - 30*i**2 - 17*i - 11393. Give b(20). -17 Let r(u) = 14*u**2 + 7*u. Let x(a) = -7*a**2 - 3*a. Let g(y) = 2*r(y) + 5*x(y). Let z = 260169 - 260170. Calculate g(z). -6 Let y(j) = -j**2 + 1. Let x(s) = -2*s**2 + 39*s + 76. Let o(b) = -x(b) + 3*y(b). Let k be o(-37). Let u(c) = -13*c. Give u(k). -13 Suppose -7*i + 10*i = -v + 20, 0 = -4*i + 3*v + 5. Let x(c) = 9*c**2 + 5*c - 10. Let z(u) = 11*u**2 + 6*u - 11. Let k(p) = i*z(p) - 6*x(p). What is k(0)? 5 Let x be (-2)/6*(9 + -6 - 0). Let m(w) = 5*w**3 + 6*w**2 - w - 7. Let c(u) = u**3 + 2*u**2. Let v(g) = x*m(g) + 6*c(g). What is v(-5)? 27 Let j(p) = -2768*p**2 + 3 + 5*p - 7 + 2767*p**2 - 4*p - 2. Give j(2). -8 Let t(i) = -i + 3. Let c = 397 + -398. Let s(h) = 4*h + 11. Let b be s(c). Calculate t(b). -4 Let t(x) = -x**2 - 31 + 32 + 9*x**3 + 4*x**2 + 7*x - 16*x + 6*x. Determine t(1). 10 Let o(h) be the third derivative of -h**6/120 + 7*h**5/60 + 19*h**4/24 - 11*h**3/3 - 430*h**2. What is o(9)? -13 Let b be ((-4)/(-10))/(1/(-655)). Let q = b + 270. Let k(a) = -a**3 + 9*a**2 - 8*a + 5. Calculate k(q). 5 Let o(f) = 14*f**3 + 18*f**2 - 11*f + 7. Let z(q) = 16*q**3 + 20*q**2 - 13*q + 8. Let a(i) = 10*o(i) - 9*z(i). Calculate a(3). -89 Let u be -4 + (-3 + 0)*89 - -1. Let k = -279 - u. Let l(m) = m**3 + 9*m**2 + m + 11. Determine l(k). 2 Let n = -54 + 54. Suppose -63 + n = -3*h. Let y(c) = h - c - 42 + 17. Calculate y(0). -4 Suppose -14*l = -7*l + 21. Let n be (4 - (1 - 2)) + l. Suppose n*m + 2 + 4 = 0. Let y(h) = h**3 + 3*h**2 - 3*h - 1. Calculate y(m). 8 Let q = 2 + -4. Let w(u) = -8*u**3 - 13*u**2 + 41*u + 4. Let f(k) = -2*k**3 - 3*k**2 + 9*k + 1. Let d(j) = 9*f(j) - 2*w(j). Calculate d(q). 15 Let q(n) be the first derivative of -5*n**3/3 - 4*n**2 - 7*n - 5. Let h(k) = k**2. Let t(j) = -4*h(j) - q(j). Let m be 13/(-39) + (-14)/3. What is t(m)? -8 Let p be (-304)/(-7) + (-12)/28. Let m = p - 40. Suppose -d - m*d = d. Let n(g) = g**3 + g**2 - g + 12. Give n(d). 12 Let x(s) = -60*s + 1. Suppose -125*h + 15*h - 29 + 139 = 0. Calculate x(h). -59 Let d(z) be the first derivative of 7*z**4/24 - z**3/2 - 5*z**2/2 + 6*z + 159. Let i(n) be the second derivative of d(n). Determine i(5). 32 Let j = -481 - -475. Let h be j/5 + 204/20. Let n(r) = -r**3 + 9*r**2 + r + 12. Calculate n(h). 21 Let z be 30/4*(-336)/35. Let o = 65 + z. Let j(c) = -c**3 - 8*c**2 - 9*c - 7. Determine j(o). 7 Let p(n) = -74 + 76 + 9*n - 8*n. Let a = -3 + 2. Let j = 4 + a. Calculate p(j). 5 Let q(g) = g + 3. Let w(k) be the third derivative of -k**4/8 - 4*k**3/3 - 26*k**2. Let n be w(7). Let f = n + 27. Calculate q(f). 1 Let w(h) be the first derivative of h**4/4 + 2*h**3 - 5*h**2 - 21*h + 3. Let k = -844 - -837. Let b be w(k). Let f(j) = j**3 - j**2 - 8. Calculate f(b). -8 Let d(w) = 17*w + 43. Let f be d(-2). Let o(a) = 8 - a**3 + 0*a**3 + 17 + 10 + f*a - 39 + 7*a**2. Calculate o(8). 4 Let n = -7115 + 7119. Let f(r) = 2*r**2 + r - 1. Calculate f(n). 35 Let p(f) = 137*f + 825. Let w be p(-6). Let y(j) = 3*j + 2*j**2 + 3*j - 4*j**2 - 6. Let v be y(w). Let h(o) = -o - 6. What is h(v)? 0 Let m(n) = 5*n**3 - 18*n**2 - 80*n - 1. Let u(x) = -4*x**3 + 17*x**2 + 60*x + 2. Let s(i) = -3*m(i) - 4*u(i). What is s(14)? -5 Suppose 5*j + 10 = 0, 50*l - 55*l - 4*j = -232. Suppose l*d - 66*d = 0. Let h(x) = x**3 + x**2 + x + 38. Give h(d). 38 Let q(d) = 60*d + 6. Let w be q(2). Let c(i) = i + w*i**3 - 271*i**3 + 2*i**2 + 124*i**3 - 3*i**2 + 1. Calculate c(-1). 20 Let y be ((-3)/5 + 1)*(3 - -2). Suppose y*w = -0*w + 10. Let m(o) = -o - 4. What is m(w)? -9 Let d(m) = 36*m**2 - 26 + 3 - 23*m**2 + 52*m - 16*m**2. Calculate d(17). -6 Let r(i) = -1725*i - 3*i**2 + 1718*i + 8 + 2*i**2. Determine r(1). 0 Let f(y) = 3*y + 18. Let j be (5 - 6) + ((-4)/(-6))/((-40)/(-540)). Determine f(j). 42 Let o(n) be the second derivative of n**4/6 + n**3/2 - n**2 - 2*n. Let i be o(-3). Let s(y) = -5*y - 10 + i + 8*y. What is s(2)? 3 Let s(w) be the first derivative of -11*w**3/3 + 28*w**2 - 2*w - 5660. Determine s(5). 3 Let a(f) = 45 + 85 + 2*f**2 - 131 - f**3. Determine a(3). -10 Suppose 4*y - 43 = 3*z, 3*z - 61 = -4*y - 0. Let n(d) = -y*d + 33*d - 12*d + 10 - d**2 + 2*d. Calculate n(9). 19 Suppose 5 = -5*f - 0. Let q be ((-2)/(-28)*4)/(f/(-7)). Let p(s) be the second derivative of -s**4/12 - s**3/6 + s**2/2 + s. Calculate p(q). -5 Suppose -8 - 8 = 2*m. Let d(k) = k**3 + 9*k**2 + 2*k - 47. Let n be d(m). Let v(g) = -g**3 - g**2 + g - 1. What is v(n)? -2 Let c(y) = -y**2 + 4*y - 4. Let d(j) = j**2 - 4*j + 4. Let s(m) = -3*c(m) - 4*d(m). Suppose -a + 364 = -5*a. Let h be ((-8)/(-14))/((-13)/a). Give s(h). -4 Let o(h) = -6*h - 88. Let x(a) = -3*a - 44. Let n(u) = -3*o(u) + 5*x(u). Let i be n(-14). Let d(t) = 2*t - 5 + 6 + 10 - i. Calculate d(-7). -5 Let i be ((-4)/6)/(1/(-3)). Let u(h) = -2*h - 48 + h**i + 13 + 29. Give u(-4). 18 Let v(a) = 7*a - 15. Let m be ((-25)/(-5))/(2*65/(-364)). Determine v(m). -113 Let u = 245 - 242. Let p(x) = -9*x**3 - 2*x**3 + 4*x + 3*x**2 + 10*x**u. What is p(3)? 12 Let c(j) = -j**2 + 3*j + 7. Let x = 17 + -12. Let i(r) = 2*r**2 - 5*r - 15. Let l = -4 + 7. Let y(w) = l*i(w) + x*c(w). What is y(0)? -10 Let s(f) be the first derivative of -3*f**2/2 - 11*f + 1231. Give s(-4). 1 Let i(x) = -5*x - 2. Let c(r) = -43*r - 18. Let f(q) = -c(q) + 5*i(q). What is f(5)? 98 Let j(s) be the third derivative of -s**4/24 - 17*s**3/6 + 171*s**2. Let p(o) = -o**3 - 12*o**2 - 10*o + 4. Let m be p(-11). What is j(m)? -10 Let c(s) = 4*s**3 + 2*s**2 - 2*s - 5. Let d(g) = -g**3 - 79*g**2 - 1287*g + 26. Let y be d(-23). Calculate c(y). 115 Let p(b) = 8*b - 10*b + 3*b. Suppose x = 2*x. Suppose x = -5*n + 3*m - 7, -2*m = 2*n - 10. Give p(n). 1 Let w be ((-6 + -14)/5)/((-189)/18 - -11). Let o(t) = -5*t**3 + 6*t**3 - 7*t + 7*t**2 + 1 + t. Determine o(w). -15 Let z(a) = -a**2 + 65 + 2*a + 170 - 199. What is z(-4)? 12 Let p(m) = m - 1. Let v(w) = -w**3 - 3*w**2 + 12*w + 5. Let x be v(-5). Let u(t) = 11. Let h(r) = x*p(r) - u(r). Give h(0). -6 Let t(b) = 2*b**2 - 2*b. Let y(k) = -2*k - 15. Let u be y(-8). Let x be (-33)/66 - (-1)/((-2)/3). Let i be u + 1/x + 5/2. Calculate t(i). 12 Let r be ((-54)/(-24))/(15/(-40)). Let t(o) = o**3 + 4*o**2 - 13*o - 16. Give t(r). -10 Let f = -313 + 322. Let s(d) be the third derivative of -d**5/60 + 7*d**4/12 - 2*d**3 - 6*d**2. What is s(f)? 33 Let c(r) = -2*r**2 - 25*r - 34. Let b(l) = -2*l**2 - 27*l - 47. Let n(k) = -4*b(k) + 5*c(k). Give n(-9). 9 Let s(l) = l**3 - 7*l**2 + 13*l - 26. Let p(g) = -g**3 + 99*g**2 + 6. Let r be p(99). Give s(r). 16 Let z(c) = 40*c - 728. Let j(m) = 13*m - 242. Let n(b) = 7*j(b) - 2*z(b). Give n(21). -7 Let h(m) = -m - 5. Let s(y) = y**2 - 6. Let w(t) = -3*h(t) + 2*s(t). Let p = -4 - -10. Let q be 10/(-6) - 2/p. What is w(q)? 5 Let t(o) be the second derivative of -o**3/6 + o**2 + o. Suppose -4*w - 4*d - 4 = 0, -18*d + 20*d = -18. Determine t(w). -6 Let j(i) be the third derivative of 1/15*i**5 + 1/120*i**6 - 2/3*i**3 - 3/8*i**4 + 0*i + 0 + 53*i**2. What is j(-6)? -22 Let p be 63/7 + (27 - 33). Let a(o) = -9*o + 41. Give a(p). 14 Let q = 22257 + -22260. Let x(p) = 26*p**2 + 68*p - 1. Determine x(q). 29 Suppose -18 = -6*x + 12. Suppose x*s = -3*h - 20, 2 = 3*s - 5*s. Let w(z) = 4*z**2 - 3*z**2 + 5*z - 5 + 0*z**2. Determine w(h). -5 Let g(b) be the third derivative of -5*b**4/6 + 169*b**3/6 + 4*b**2 - 15*b - 2. Give g(9). -11 Let x be (-5 - -4)*(0 + -3). Suppose -5*y + 12 = -x. Let u(
{ "pile_set_name": "DM Mathematics" }
s the nearest to 0.2? (a) 1526 (b) 4 (c) -1 (d) 9 c Which is the closest to -0.2? (a) 0.025 (b) 4 (c) -6 a What is the closest to -19 in 2, -3, 66? -3 What is the closest to -34835 in 1/2, 2, -1? -1 What is the nearest to 1/127 in 0.5, -7/3, -4, 1.3? 0.5 What is the nearest to -2 in -7, 0.6, 4, -1, -3.6? -1 What is the closest to 54 in 3/2, -3, 0.1, 1/7? 3/2 What is the nearest to 1/4 in 2/7, -55, 5, -1, 80/9? 2/7 What is the closest to -2 in 2, -581/296, 3/2? -581/296 Which is the closest to -39090? (a) 2/19 (b) -4 (c) -0.3 b What is the closest to 2/3 in 518, 7, 42, -3? -3 What is the closest to -2 in -2/3, -72.2, 7? -2/3 Which is the closest to -1? (a) 2 (b) 2/35 (c) 1/10 (d) -19 b Which is the nearest to 1? (a) 2/5 (b) -1/25 (c) 524 a Which is the closest to 249? (a) -0.5 (b) -2/17 (c) -8 (d) 2 d What is the closest to 3 in -1, 2/7, 0, 26, -0.002? 2/7 Which is the nearest to 1? (a) 0.1 (b) 0 (c) -7 a What is the closest to -3 in 0.5, -2/15, 38, -2, -1.6? -2 Which is the closest to 0? (a) 2 (b) 3 (c) -5 (d) 254.6 a Which is the closest to 0? (a) 0 (b) -4/11 (c) 0.1 (d) 4 a What is the nearest to 9/5 in -1, 2, 1/16, 0.1, 3? 2 Which is the nearest to 1? (a) 11.8 (b) -13 (c) -1/2 (d) -1 c Which is the nearest to -39? (a) 3/5 (b) -4 (c) 25 b What is the closest to -1 in -9, -21, -0.4, 0.1? -0.4 Which is the nearest to 22120? (a) 2 (b) -0.4 (c) 0 (d) 3 d What is the closest to -4 in 0, -19, -17? 0 What is the nearest to -2178 in -15, -2, -1? -15 What is the closest to -3/5 in 2/13, -2/7, 3, -0.0365? -2/7 What is the nearest to 3 in 3, 15, 0, -0.1? 3 What is the closest to -0.4 in 0.04, 0.06, 0.16, -5, -0.1? -0.1 Which is the nearest to -1? (a) 137 (b) -0.2 (c) -0.15 (d) -3 (e) 3 b What is the closest to -12 in -5, -2, 3, -11? -11 What is the nearest to 1/3 in -43, 0.4, -0.2, -174? 0.4 What is the nearest to -0.1 in -8, 4/299, 21, 2/7? 4/299 Which is the nearest to 8? (a) -7 (b) -0.16 (c) 0.7 (d) -0.3 c What is the nearest to -60 in -2, 628, 1/9? -2 Which is the nearest to 7560? (a) -5 (b) -1.8 (c) 1/3 (d) -3 c What is the closest to 26.038 in -0.4, -2, 0.4? 0.4 Which is the closest to -1? (a) -80 (b) 3/4 (c) 0.4 c What is the closest to -1/4 in -17, 0.2, -8, 69? 0.2 Which is the closest to 1? (a) 6 (b) 183 (c) -0.5 (d) -5 (e) -13 c Which is the nearest to 2967? (a) 0.3 (b) -1 (c) -1/12 (d) -0.2 a Which is the closest to -4/363? (a) 3/7 (b) 0.2 (c) -2/5 (d) 19 b Which is the nearest to 0.1? (a) 133 (b) 0.3 (c) 5 (d) 3/5 b Which is the closest to -41253? (a) 0.2 (b) -5 (c) -1/10 b What is the nearest to 0.2 in 1.7, 0.1, 3/5, -4, -2? 0.1 What is the closest to -0.035 in -0.4, 1/513, -1/2, -2? 1/513 What is the nearest to 1 in -211, 0.8, -0.5, -3/4, -0.1? 0.8 What is the nearest to -62 in 5, -1/70, 0.3, -7/4? -7/4 Which is the nearest to 2/5? (a) 25.8764 (b) 0.5 (c) 2 (d) 1 (e) 2/5 e Which is the nearest to -0.02? (a) 27 (b) 3 (c) 0 (d) 54/11 c Which is the nearest to 61? (a) -4 (b) -8.6 (c) -3 c Which is the nearest to 2/5? (a) -1/6 (b) -0.1 (c) -4/3 (d) -1.1 (e) -159 b Which is the closest to -1/54? (a) -48.2 (b) 0.2 (c) 0.1 c What is the nearest to 6/29 in 52, -0.3, -0.2? -0.2 Which is the nearest to -1/3? (a) 1/2653 (b) -0.1 (c) 2/15 (d) 2 b Which is the closest to 0? (a) -1 (b) 9 (c) -207/11 (d) -0.1 d Which is the nearest to 0? (a) 1011/5 (b) 0.3 (c) -3 (d) 0.5 b What is the nearest to -2/7 in -3, 236, 0.35, 4/9? 0.35 What is the nearest to -1 in -15, -14, 317? -14 Which is the nearest to -36/7? (a) -1 (b) 5 (c) 16/3 (d) 0.1 a What is the closest to -1 in -2/1223, 4/3, -1.4, 1/6? -1.4 Which is the closest to 0.02? (a) 2 (b) -40 (c) -0.5 (d) -7/5 c What is the nearest to 26.9 in 1/3, 103, -6? 1/3 What is the nearest to -2 in 4, -0.034, -0.04, -2/7? -2/7 Which is the nearest to 0? (a) 3 (b) -2/3 (c) 257 b Which is the nearest to -1? (a) -4.4 (b) 1/4 (c) -15 (d) 2/7 (e) 5 b What is the closest to -1 in -5, -2, -1, -1/5? -1 What is the nearest to 0.52 in 0, 0.2, -3/11? 0.2 Which is the closest to 1/6? (a) 13 (b) 3/4 (c) 43 b What is the nearest to 0 in -4/239, 0.5, 0, 2/7? 0 What is the closest to -8.3 in 1/4, -2/7, -4, -1.6? -4 Which is the nearest to 1? (a) -2/105 (b) 30 (c) -4 a Which is the closest to 1? (a) -2 (b) 2.1 (c) -3 (d) 1 (e) 0 d Which is the nearest to 1? (a) -35.4 (b) 8 (c) 2/5 c Which is the closest to 20/7? (a) -1 (b) 0.1 (c) -15 (d) 24 (e) -0.1 b What is the closest to 2 in 69, -8/427, 0.2, 0? 0.2 Which is the closest to -0.13? (a) -1/2 (b) -4/9 (c) 0.2 (d) 1/19 d Which is the closest to 8/37? (a) -3 (b) 5 (c) 1/8 (d) -2/7 (e) -29 c What is the closest to 1/4 in 0.5, -0.4, 3047? 0.5 What is the nearest to -2 in -77.9, -4, -2/25? -2/25 Which is the closest to 0.31? (a) -0.5 (b) 1 (c) 2/629 (d) 0.5 d What is the closest to 329 in -0.7, 1/6, 0.4? 0.4 Which is the closest to -1/2? (a) -81 (b) 0.22 (c) 0.01 (d) -2 c Which is the closest to -2/5? (a) -16 (b) 12/41 (c) -2 (d) 3 b Which is the closest to -0.2? (a) 4 (b) -4 (c) 11 (d) -81 b Which is the closest to -2/9? (a) -1/5 (b) 5 (c) 12/49 (d) -0.1 a What is the nearest to -17 in 19.16, -5, -0.5? -5 Which is the nearest to -1? (a) 0.245 (b) -5/9 (c) -0.1 (d) 2/7 (e) 0.2 b Which is the nearest to 2/3? (a) 2/19 (b) 1/12 (c) 0.102 (d) -0.12 a Which is the nearest to -0.02? (a) -4 (b) -0.064 (c) -2 b What is the nearest to 9/2 in -3, -4, 0.05, -1? 0.05 What is the closest to 4/7 in 1, 266, -10? 1 Which is the nearest to -39? (a) 15 (b) 2/9 (c) 0 (d) -18/5 d What is the closest to -2/3 in -1/3, 1/1680, -5? -1/3 What is the nearest to 48 in -14/25, -2, 5? 5 Which is the closest to -1? (a) -6/5 (b) -208 (c) -5 (d) 0.03 (e) -13 a What is the nearest to 0.1 in 1, -4.7, -5, -0.7, -9? -0.7 Which is the closest to 3.894? (a) 1/7 (b) 4 (c) 0.4 (d) 3/4 (e) -0.5 b Which is the closest to -3? (a) 53 (b) -3 (c) 0.2 (d) 87 (e) -2/3 b What is the closest to -1 in 1/222, 5/11, -4, 0.5? 1/222 What is the nearest to -4/2561 in 1.6, 2, 2/5? 2/5 What is the closest to 4 in -3/7, -1/4, -10, 142, -0.4? -1/4 Which is the closest to 6? (a) -2/7 (b) -2/15 (c) 1 (d) 0.4 (e) -8.3 c What is the nearest to -5/3 in -11/16, 2, -4.2? -11/16 Which is the nearest to 0.1? (a) -2.193 (b) 6/7 (c) -2 b Which is the closest to 2? (a) 1 (b) -0.07 (c) 6374 a Which is the nearest to -7263? (a) -11 (b) 1/4 (c) 3 a Which is the closest to 6? (a) 0 (b) -0.56 (c) -12/13 (d) 2 (e) -5/3 d What is the closest to -0.375 in 3, -2/7, 0.31? -2/7 What is the nearest to 1 in -2/47, -5, -4, 1/5, -1/55? 1/5 Which is the nearest to 1? (a) 23 (b) 1009 (c) 2 (d) 0.4 d What is the nearest to 0.2 in 1/5, -182, 7, 5? 1/5 What is the closest to -1/2 in 838, -4, 2/17, -3, 5? 2/17 Which is the nearest to 10? (a) 7 (b) 0 (c) 2 (d) -15 a Which is the nearest to -1? (a) 8 (b) -0.2 (c) -3/8 (d) -3.6 c Which is the closest to 0.8? (a) -2/5 (b) 3916 (c) -2/33 c Which is the nearest to -80.25? (a) -1/3 (b) 7 (c) -1 c Which is the closest to 0? (a) -2/13 (b) -7/8227 (c) -0.1 b What is the nearest to 1 in 1, 0.32, 1.39, -0.5? 1 What is the nearest to 2 in 3, 6, 0.94, -1/6? 3 Which is the nearest to -3/2? (a) 374 (b) 0.4 (c) -6 (d) -3 d Which is the nearest to 0? (a) -0.1 (b) 7 (c) -0.5 (d) -0.15 a What is the nearest to -15 in -75, -2, -3? -3 What is the nearest to -0.0044 in -10, 2/3, -0.09, -2/5, -5? -0.09 Which is the closest to -27.1? (a) 2/167 (b) 3 (c) -0.1 c What is the nearest to -1/3 in -0.5, -36/13, 10, 2/5? -0.5 What is the closest to -4 in 2/11, -3, 5.72, 4? -3 Which is the closest to -2/7? (a) 4 (b) 14/47 (c) 0.2 c What is the closest to -88 in 3, -4, -1/787? -4 Which is the closest to 0.2? (a) 4 (b) 0.358 (c) -0.14 b What is the closest to 1/5 in 4, 0.5, 5, -30.7? 0.5 Which is the closest to 0? (a) 1.8 (b) 0.3 (c) 2 (d) 246 (e) 1/4 e What is the nearest to 2/9 in 3, 1, 4, -0.08? -0.08 What is the closest to 1.5 in 1/3, -1866, 0.5? 0.5 What is the nearest to -3 in -1/2, 0, 0.217, -4? -4 What is the closest to 0.54 in 1, 0.02, -3.7, -3/7, -0.5? 1 What is the nearest to 0.4 in 1/4,
{ "pile_set_name": "DM Mathematics" }
(m) = 5*m**3 + m**2 - m + 13. Let w(j) = -j**3 + j**2 - 1. Let d(c) = -l(c) - 6*w(c). Determine d(7). 0 Let x(b) be the first derivative of 2*b**2 + 5*b + 18. Calculate x(-5). -15 Let u(d) = -2*d - 5. Let p be u(-10). Suppose 0 = -5*g + 15 + p. Let j(l) = -10 + 6*l**3 - 2*l**2 - g + l + 16. What is j(1)? 5 Let g = 39 - 44. Let z(u) = 4*u - 2. Give z(g). -22 Suppose 0 = -4*u - 24 - 0. Let r be 1*u*1/(-3). Let z(j) = j - 4. What is z(r)? -2 Let q(d) = d**2 + 9*d + 8. Let m be q(-8). Let i(u) = -4 + u**2 + 2*u + 0*u - 3*u. Calculate i(m). -4 Let k = 20 + -22. Let c(v) = -6*v - 1. What is c(k)? 11 Let i be (-24)/(-28)*(1 - (-22)/6). Let x(n) = -n**3 + 3*n**2 + 6*n - 5. What is x(i)? 3 Let j = -2 + 2. Suppose -5*v + 5 = -5. Let x(f) = j*f + f**2 - 2*f**v + 2 + f - f**3. Determine x(0). 2 Let i(z) = z**3 + 3*z + 1 + 2*z + 7*z**2 + 4 + 2*z. Determine i(-6). -1 Let b be -3 - (0 + 1 - 9). Let o(m) = b*m - m - 3 + 0*m - 3*m. Determine o(0). -3 Let k = -4 + 7. Suppose -k*g = 1 - 16. Let l(w) = -w**2 + 5*w + 2. Determine l(g). 2 Let y(v) be the second derivative of -v**4/12 - 2*v**3/3 - 2*v**2 - 5*v. What is y(-4)? -4 Let n(q) = q**2 + 3*q + 6. Let d be (11 + (0 - 2))*3. Let v be 4/18 + (-114)/d. Give n(v). 10 Let a(o) = o**2 - 27. Suppose -2*b + 5*b - 4*b = 0. Determine a(b). -27 Suppose -n + 2*n = 4. Let v(m) = -m**3 - 4*m**3 + 3*m + 3*m**2 + 4*m**3 + 2 - 3. Determine v(n). -5 Let n(h) = 2*h**3 - 2*h + 1. Let y(r) = -r**2 + 4*r + 3. Let x be y(4). Let m = x - 2. Give n(m). 1 Suppose 0 = -2*u - z + 2*z + 64, 0 = 5*u - 4*z - 160. Let w(p) = 2*p**2 + 0 - 1 - 31*p + u*p. What is w(-2)? 5 Suppose -9 = 9*g - 12*g. Let n(d) = -d + 5. Give n(g). 2 Suppose -6 = -6*n + 3*n. Let s(i) be the third derivative of 1/120*i**6 + 0*i - n*i**2 + 1/24*i**4 + i**3 - 1/60*i**5 + 0. What is s(0)? 6 Let g(z) = z**3 + 3*z**2 + 4. Let d be 174/15 + 4/10. Suppose 0 = 3*a - 7*a - d. Give g(a). 4 Let a(t) = t**2 - t. Let s(j) = -10*j**2 + 8*j + 2. Let z(c) = 6*a(c) + s(c). Calculate z(-2). -18 Let u(m) = m**2 + 4. Let v(f) = -5 + 1 + 2*f - 3*f. Let t be v(-6). Let g be (3 - 3 - 0)/t. Determine u(g). 4 Let l(k) be the first derivative of k**4/4 - k**2 + k - 3. Let w be l(-2). Let r be w/((-1)/(2/(-3))). Let b(u) = -4*u + 2. Calculate b(r). 10 Let l be 4 - (0 - (2 + -3)). Let i(p) = 0*p - p**3 + 0*p**3 - 2*p**2 - l - 5*p + 3*p. Calculate i(-2). 1 Let g(r) be the third derivative of r**4/12 + r**3 + r**2 - 7. What is g(0)? 6 Let o(r) = 1 - 6*r + 5*r - r**2 + 2. Let a be (2/(-4))/(3/(-30)). Suppose 5*t = -f + t - 4, -3*f - a*t = 12. Give o(f). -9 Let d(z) = -2*z**2 - 3*z - 1. Suppose -5*r + 85 + 35 = 0. Suppose 3*q + 6 = 5*m + 7*q, -r = 2*m - 5*q. Determine d(m). -3 Let j(z) = z**2 - 3*z - 2 + 0*z + 0 + 0*z**2. Suppose -4*n - 14 = 2*r, -4*n = 2*r - n + 9. Give j(r). -2 Let c(n) = -4*n**3 - 5*n + 12. Let h(x) = -x**3 - x**2 + 1. Let q(j) = c(j) - 5*h(j). Let y = 55 - 61. Calculate q(y). 1 Suppose 2*l + 0*l = 20. Let t = 10 - l. Let w(j) = j + 3. Calculate w(t). 3 Let i = 10 + -7. Let n be i*1/6*-6. Let r = 1 + n. Let t(d) = -d**3 - d**2 - 1. Determine t(r). 3 Let l(t) = 21 - 21 - 4*t**2 + t - t**3. Calculate l(-4). -4 Let s be 2/(-4)*0/(-2). Let i(c) = -6*c**3 + c**2 + c - 3. Let m(q) = 5*q**3 - q**2 - q + 3. Let p(b) = -4*i(b) - 5*m(b). Give p(s). -3 Suppose 6 = 4*o - 14. Suppose 4*n + o*g = 16 + 6, 2*n = 4*g - 2. Let t(x) = -x - 1 - 4 + 3 + x**2. What is t(n)? 4 Let c(w) = -w**2 - 3*w + 4. Suppose 0 = -2*o - 8 - 0. What is c(o)? 0 Let w(v) = -5*v - 1. Suppose -l - 4*b = 3, 4*l = 6*b - 2*b + 8. What is w(l)? -6 Let h(n) = -n**2 + 4*n - 4. Let z(w) = -w + 7. Let m be z(0). Suppose j = x + m, -5*j - 4 = 4*x - 3. What is h(j)? -1 Let l(j) be the first derivative of -j**4/4 + j**3/3 + 7*j**2/2 + j - 6. Let c(k) = k**3 - 7*k - 2. Let v(o) = -6*c(o) - 5*l(o). What is v(-6)? 1 Let n(p) = 7*p - 1. Suppose 0*k - 3*k + 5*r = 22, 20 = -5*k + 5*r. What is n(k)? 6 Suppose 0 = 4*d - 9*d + 25. Let l(w) = -w**3 + 5*w**2 - w + 7. Give l(d). 2 Suppose a = -5*m - 10, -m - 10 = -a + 4*m. Let d(z) = z**2 + 3*z + 1. Let u be d(-4). Let y(i) = i + 2*i + a + u. What is y(-4)? -7 Let z(l) = l**3 - l. Let q be z(-1). Let j(y) = 0*y + q*y**2 - y**3 - y - 1 + 0*y**2 - y**2. What is j(-1)? 0 Let d(t) = -134*t - t**2 - 2 + 65*t + 62*t. Determine d(-6). 4 Let h = -119 + 239/2. Let v(s) be the second derivative of -h*s**2 + 0 - 4*s + s**3. Give v(-1). -7 Let o(b) = 6*b. Let k(f) = -7*f. Let s(u) = -5*k(u) - 6*o(u). Determine s(6). -6 Let l(k) = 7*k - 1. Let c(g) = -6*g + 1. Let x(j) = 5*c(j) + 4*l(j). Give x(1). -1 Let n be (-4)/(-6) + (-8)/(-6). Let v = 4 - n. Suppose -i = v*i. Let p(d) = -d + 8. Calculate p(i). 8 Let d be (-84)/(-45) + (-14)/(-105). Let a(o) = -3 + 4 + 0 - o**3 - o. Give a(d). -9 Let t(p) = -7*p. Let j(i) = i + 13. Let o be j(-12). Suppose b = 1 + o. What is t(b)? -14 Let f(z) be the third derivative of -z**4/24 - 2*z**3/3 + 9*z**2. Determine f(4). -8 Let g(h) = 8*h**2 - 3 - 3*h**2 - 6*h**2 + h. Let a(l) = l - 3. Let r be a(3). Determine g(r). -3 Let k(v) = -v**2 - 3 + 5*v - 14 + 11. Calculate k(4). -2 Suppose -3*m = -9 + 15. Let b(h) = h**3 - h**2 + 1. Determine b(m). -11 Let a(l) = 3*l - 3. Let b be 2/(2/((-12)/(-3))). Let q(s) = -s**3 + 5*s**2 - 5*s + 4. Let c be q(b). Suppose c = -3*j + 9 - 3. Give a(j). 3 Suppose 12*c = 9*c + 3. Let n(a) = 6*a. Calculate n(c). 6 Let g = 5 - 4. Let h(b) = -b**2 + 7*b + 2. Let i be h(7). Let u(l) = i*l**2 + 3 - 4 + 2. Give u(g). 3 Let q(h) = -4*h**3 - h**2. Suppose -3*u - 3 + 12 = 0. Suppose 7*r - 4*r + 3 = -4*m, 3*m - u = 3*r. What is q(r)? 3 Let l(d) = -2*d + 4. Let s(z) be the third derivative of z**4/24 - z**3/6 + 5*z**2. Let v(h) = -2*l(h) - 2*s(h). Determine v(6). 6 Let l(w) = -w + 7. Let y(z) be the second derivative of -z**3/2 - 3*z**2 - z. Let h be y(-4). Determine l(h). 1 Let r(p) = 2*p**3 + 5*p**2 - 4*p - 5. Let t(k) = k**2 - k - 1. Let y(v) = -r(v) + 4*t(v). Let j be y(-1). Let w(a) = 113*a + 0 + 2 - 111*a. Determine w(j). 6 Let v(o) = 6*o**3 - 6*o**2 + 4*o - 5. Suppose -2*w = -0*w - 2. Let m(f) = -f**3 + f**2 - f. Let p(q) = w*v(q) + 5*m(q). What is p(0)? -5 Let t(j) = 5*j**2 - 1. Let c(x) = 0 - 3 + x**2 - x + 2. Let p = -16 + 15. Let r(b) = p*t(b) + 2*c(b). Determine r(-1). -2 Suppose 0 = -a - 1 + 3. Let d(n) = a*n**3 - 2*n - n**3 - 3*n**2 + 4*n + 3. Let w be 10/20 - (-5)/2. Determine d(w). 9 Let p(u) = -u + 1. Let n(l) = l**3 - 9*l**2 - 10*l - 5. Let c be n(10). What is p(c)? 6 Suppose -v + 3*l + l - 21 = 0, 4*l - 1 = -3*v. Let r(f) = f + 3. Calculate r(v). -2 Let o(r) be the second derivative of -r**6/360 + r**4/6 - 6*r. Let q(p) be the third derivative of o(p). Give q(1). -2 Let m = -17 - -25. Let u = m - 4. Let g(z) = z + 7 - 21 + 15 + 0*z. Calculate g(u). 5 Let g(w) = -7*w + 3. Suppose 5 = 4*l - 3. What is g(l)? -11 Suppose -97 = 20*h + 3. Let v(r) be the second derivative of -r**4/12 - 7*r**3/6 - 5*r**2/2 - r. Determine v(h). 5 Suppose 0*f = -f + 1. Let r(v) = 4*v + 0 + 0*v + v**2 - 4 + f. What is r(-6)? 9 Let x(j) = -j**2 - 12*j - 16. Let z(u) = -u**2 + 4*u - 7. Let w be z(7). Let b = w - -17. Let h be x(b). Let n(s) = s**2 + 5*s + 1. Give n(h). 1 Let w = -10 - -14. Let s(r) = w*r - 2*r - r - 3*r + 4. Give s(5). -6 Let h = -4 + 4. Let z(y) = y**3. Let c be z(h). Let b(t) = -t**2 + t + 3. Give b(c). 3 Let v(w) = w - 1. Suppose -9 = -4*r + r. Suppose -q + 5*q = -3*b + 27, -r*q + 5*b + 13 = 0. Suppose -q*a + 3*a - 17 = -4*g, -4*a + 5*g - 22 = 0. Calculate v(a). -4 Let n(m) = 6 + 1 + 0 + 7*m - 6*m. Determine n(0). 7 Let f(w) = -2*w**2. Let b be f(2). Let d(a) = -2*a**2 - 3. Let m(o) = 5*o**2 + o + 9. Let l be (4*1/8)/(3/(-18)). Let u(v) = b*d(v) + l*m(v). Determine u(5). 7 Let w(t) = -2*t + 24. Let s be w(12). Let k(v) be the first derivative of v**3/3 - 4*v + 1. Give k(s). -4 Let b be ((-7)/(-3) + -2)*27. Let h be 3/b + (-10)/3. Let i(c) = c + 1. What is i(h)? -2 Let p(r) = -7. Let o(a) = a + 30. Let q(i) = -2*o(i) - 9*p(i). Give q(4). -5 Let r = -63 - -96. Suppose -r = -5*w + 27. Suppose -w = -2*f + 5*d, -7*f + 3*f + 2 = d. Let z(y) = -6*y**3 + y**2 - 2*y + 1. Determine z(f). -6 Let t = 4 + -3. Let n(a) = a. Let y(s) be the third derivative of -s**4/12 - s**2. Let c(w) = -6*n(w) - 5*y(w). Determine c(t). 4 Let r be -1*3/(-3) - -1. Let k b
{ "pile_set_name": "DM Mathematics" }
2/51 Which is the nearest to 0.73? (a) -1 (b) 0 (c) 5 (d) 2/3 (e) -2/3 d Which is the nearest to 1? (a) -1/2 (b) 0.4538 (c) 2/13 b Which is the nearest to -5? (a) 0.01 (b) 0 (c) 19/5 b Which is the closest to 2/245? (a) 2/3 (b) 1/2 (c) 5 (d) -0.2 d Which is the nearest to 0.06? (a) 799 (b) -4 (c) 5 (d) 10 b What is the closest to -87 in 2, -5/6, 3, 2/11, 1/3? -5/6 What is the closest to 131 in 5, -0.3, -1/5? 5 What is the closest to 11 in 1, -122, -4, 0.1? 1 Which is the closest to -0.3? (a) -5/4 (b) -609 (c) -3 (d) -1 d What is the nearest to -1 in -17/4, 2/35, 0.0229? 0.0229 Which is the closest to -2/11? (a) 3 (b) -7 (c) 6 (d) 29/2 (e) -2 e Which is the nearest to 2/9? (a) 167 (b) 4 (c) -19 b Which is the closest to 0.2? (a) 4/15 (b) 2/531 (c) -0.5 a What is the closest to 16 in 21/2, 2/13, 1? 21/2 Which is the nearest to -0.1? (a) 1 (b) 0 (c) 0.1262096 (d) -1/7 d Which is the closest to 1/511? (a) 1/2 (b) 4 (c) -1 (d) 1/4 d What is the closest to -21/5 in -0.34, 1/4, -2? -2 What is the nearest to -2 in -4/7, 3/5, -2/3, -24, 39/10? -2/3 What is the nearest to 0.055 in -0.001, -1/4, -0.5, -0.2, -4? -0.001 Which is the closest to -2? (a) 5220 (b) 2/5 (c) -21 b What is the nearest to -35 in -0.1, 3/41, -4? -4 What is the nearest to 1 in -5, -2/9, -4.1, 102? -2/9 Which is the closest to 1? (a) 1/10 (b) -6 (c) -17/2 (d) 0.02 a What is the closest to -75 in 3/2, 1/130, 1/7, -5/3? -5/3 Which is the nearest to 22? (a) -2 (b) 0.1 (c) 0.0651 (d) -1 b What is the closest to -0.8 in 0.2, -3075, 3, 5? 0.2 What is the nearest to -3 in -18, 2, -774? 2 Which is the nearest to 5? (a) 0 (b) 0.02 (c) -5 (d) -4 (e) 0.8 e What is the nearest to 4 in -0.0565, -1/2, -2/9, 2/49? 2/49 Which is the closest to 2/13? (a) -0.2 (b) 25 (c) 83 a Which is the closest to 0? (a) 2607 (b) -5 (c) -7 (d) -3 d Which is the closest to -1.23? (a) -1 (b) -5 (c) 0.1 (d) -3 a Which is the nearest to 0.1? (a) 35/2 (b) -3 (c) -1/4 (d) -1/26 (e) -86 d Which is the closest to -13? (a) -1 (b) 65/2 (c) -10 c What is the nearest to -0.2 in 1, -3/10, -1/3, 0.63, 23? -3/10 What is the closest to -2494 in 0, -1, 1/5? -1 What is the closest to 15/2 in 0.1, 13/36, 2? 2 What is the nearest to -3/2 in -12, 2, -3, 1/7, 26.5? -3 What is the closest to 1.45 in 8.87, -0.1, -5? -0.1 What is the closest to -0.13 in 0.03, 26, 3/4, 4? 0.03 Which is the closest to 0.8? (a) -1 (b) -0.248 (c) 0 c Which is the nearest to -2? (a) -1 (b) -41 (c) 3/7 a What is the closest to -3 in -3, -120, 0, 14? -3 Which is the nearest to -0.1? (a) 0.5 (b) 0 (c) 0.090024 b What is the nearest to 3.3 in 4/3, 2, -3/13? 2 What is the closest to -0.159 in -3/5, 3/4, -2/9? -2/9 What is the closest to -3.032 in -0.6, -2/5, -0.3, -4, 0.5? -4 What is the nearest to -3/11 in 1, -173, -14? 1 Which is the nearest to 68? (a) -4 (b) 0.22 (c) 3/4 (d) 1 d What is the closest to -22/43 in -2/15, 0.5, 2? -2/15 What is the nearest to 5 in -57, 0, 0.2, 5? 5 What is the closest to 55 in -0.4, 7, 0, 0.1? 7 What is the nearest to 2/13 in -1/3, 0.3, 2? 0.3 Which is the closest to 2? (a) 8 (b) -67 (c) 0.1 (d) 2 (e) 2/11 d What is the closest to -11 in 3, 53/24, -11, 4? -11 What is the closest to 19 in -1.189, 0.2, 0.1? 0.2 What is the nearest to -0.1 in 5, 8/921, 2/3, 0.2? 8/921 What is the closest to 30/13 in -11/24, 5, 0.04? 0.04 Which is the closest to 3005? (a) 0.1 (b) 0.3 (c) -4 b What is the nearest to 17/9 in -525, -0.5, 5/6? 5/6 Which is the nearest to -1? (a) -93/7 (b) 9 (c) -0.5 c What is the nearest to -1 in -3/4, 6/47, -0.0126? -3/4 What is the nearest to 0 in -0.07, -1.92, -4/5, -4? -0.07 Which is the closest to -150? (a) -3/2 (b) 5 (c) 12 a Which is the nearest to 7528? (a) -0.4 (b) -4 (c) 1 (d) 0.4 c Which is the closest to -22? (a) -0.092 (b) 0.4 (c) 4 (d) 2/15 a What is the nearest to 0.05 in 1, -2/17, -0.003, 2/5? -0.003 What is the nearest to -0.1 in 0.02187, 9, -5, 0.5? 0.02187 What is the closest to -0.1 in -14/991, -14, -1/2? -14/991 What is the closest to 104 in -3, 21/4, 2? 21/4 Which is the closest to -0.1? (a) 1 (b) -63 (c) 0.184 c What is the nearest to 0.5 in -59, 11/5, -1? -1 Which is the nearest to -1? (a) -1.1 (b) 0.1 (c) 2/5 (d) 2/33 (e) -2/7 a Which is the nearest to 9? (a) -1/55 (b) -4 (c) -2 (d) -4/7 (e) -3/23 a What is the nearest to 2/9 in 4.4, 5, -1102? 4.4 What is the nearest to -2 in -1/7, -0.1, 0.092, -0.037? -1/7 What is the nearest to 0.2 in -5/4, 36, -1.9? -5/4 What is the nearest to 0 in -3, 2/9, -21/1460, -1/7? -21/1460 What is the nearest to 2/149 in -0.3, 18, -2? -0.3 Which is the closest to -27? (a) 44 (b) 0.1 (c) -0.4 (d) -0.5 (e) 3/7 d What is the nearest to -3 in 0.4, -896, 0, -2/7, -5? -5 What is the closest to 1.9 in 3, 132, -9/2? 3 What is the closest to 0.03 in -2, -4, -4/7, -1/12? -1/12 Which is the closest to 69? (a) 1 (b) -2 (c) -1/4 (d) -0.21 a What is the closest to 0.03 in -0.05, -4, 268/17? -0.05 Which is the nearest to -163? (a) 0.4 (b) 185 (c) -0.5 (d) -3 d What is the closest to -13 in 4/3, -0.5, -0.0001, 0.1? -0.5 What is the closest to 0.1 in -58, -5/414, 0.4? -5/414 Which is the closest to 0.13? (a) 4 (b) 11 (c) 1/2 (d) -23 c Which is the closest to 0? (a) 2/337 (b) 0 (c) -0.2 (d) -3/20 b Which is the closest to -2? (a) -11 (b) 5/11 (c) -39/5 (d) -1/3 d What is the nearest to 0 in 5, 0.3, -32? 0.3 What is the closest to 73 in -4, 0.3, 0.2, 2/5? 2/5 Which is the closest to -258? (a) -0.05 (b) 2 (c) -0.5 (d) 1/8 (e) -3/2 e Which is the closest to -2/9? (a) -0.013 (b) 1/8 (c) 2 a Which is the closest to 2/7? (a) 2 (b) -0.2 (c) -10.1 (d) 22 (e) -1/2 b Which is the closest to 89? (a) 4 (b) -0.05 (c) 4/3 (d) 2 a Which is the closest to 0? (a) 8 (b) 1/23 (c) -4 (d) -11 (e) -19 b What is the closest to 0.1 in -45/22, 4, -66/13? -45/22 What is the nearest to -6 in -2/7, 2/7, 3? -2/7 Which is the nearest to -1? (a) 9 (b) -2 (c) -30 (d) -5/4 (e) 4 d What is the nearest to 2/23 in -3/2, -2, -1/3, -58? -1/3 What is the nearest to 0.1 in -2/13, 1.48, -6/7, -4/3, -3? -2/13 What is the closest to 9469 in -1/11, -5/4, 1, -1/8? 1 What is the nearest to 199100 in 0.5, -2, 8? 8 What is the closest to -1.04 in -0.11, -0.3, -1.2, 2/3, -1/8? -1.2 What is the nearest to -5 in -6, -22, -0.1, 0.1? -6 What is the closest to 9 in 13, -0.02, 557? 13 What is the closest to 0 in -12/413, -0.2, -6? -12/413 Which is the nearest to -1? (a) -3139 (b) -5 (c) -56 (d) -1/4 (e) -0.5 e Which is the nearest to 2? (a) 2/11 (b) 697 (c) -6 a What is the closest to 0 in -0.12, 13/7, 3/5, 3? -0.12 Which is the nearest to -1? (a) 2.81 (b) 0.9 (c) -2/7 c Which is the nearest to -0.7? (a) 3 (b) 4/5 (c) -0.7 (d) -36 (e) 19 c What is the nearest to -9/5 in -14, 4, 2, -1/5? -1/5 What is the closest to 2 in -0.89, 19, 1/8, 5? 1/8 Which is the nearest to 9? (a) 36 (b) 47 (c) -3 c What is the closest to 0.1 in 4, 1/3, -2/11, 9, -2.7? 1/3 Which is the closest to 38? (a) 4 (b) 67 (c) -0.2 (d) 2/7 (e) -2 b What is the nearest to 14 in -0.2, -0.3, 14, -2? 14 What is the nearest to -0.2 in -3.2, -2/93, 0.3? -2/93 Which is the closest to -1? (a) -2 (b) 2 (c) -23/27 (d) -16/5 c Which is the nearest to -1.1? (a) 2/19 (b) 465 (c) -4 a Which is the nearest to 64? (a) 2/13 (b) -62 (c) 0.06 a Which is the nearest to 38076? (a) -0.6 (b) -0.5 (c) -4 b What is the closest to -80 in -5, -0.01, -2/9, -0.2? -5 Which is the closest to -3/2? (a) 281 (b) 3/4 (c) -0.3 c What is the nearest to -35 in -3, 6, 3, 0.3, 0.02? -3 Which is the nearest to 1.5? (a) 194 (b) 1 (c) 12/5 b What is the nearest to -289 in -13, 3, 5/3? -13 What is the nearest to -829 in -3/4, -1/4, 0.2, 4, 2? -3/4 What is the nearest to -2/1165 in 4, 0.5, 5, 6? 0.5 Which is the closest to 1.48? (a) 0.3 (b) -52 (c) -4 a Which is the nearest to -0.1? (a) 1/43 (b) 5/2 (c) 3 (d) 5 (e) 0.02 e Which is the closest to -2/19? (a) -0.8 (b) 57 (c) 4/7 (d) -1/13 d What is the nearest to -1/2 in 0.4, -3/76, -2/7, -0.5, -5? -0.5 What is the closest to -2/7 in -5, -22.47, -2? -2 What is the closest to -5079 in 5, -0.4, -1? -1 What is the nearest to 2 in 0.23, 2, -3, 2.9, -
{ "pile_set_name": "DM Mathematics" }
+ 2. Suppose 0*f - 12 = -2*f. Let o be -3*(2 - (-8)/f). Let v be ((-2)/4)/(1/o). Let k(n) = 4*n - 2. What is v*q(m) + 6*k(m)? -m - 2 Let d(r) = -14*r**3 + 4*r**2 - 4*r - 6. Let z(n) = n**3 - n**2 + n + 1. Give -d(k) - 4*z(k). 10*k**3 + 2 Let b(m) = m**2. Suppose 4*g - 25 = 23. Let v be (2/3)/(g/18). Let f(x) = x**2. Give v*b(u) - 2*f(u). -u**2 Let q(v) = -5*v**2 + 9*v - 11. Let l(n) = -n**2 + 12*n - 9. Let c be l(9). Let j(w) = 1 - c*w + 2*w**2 + 14*w + 4. What is 7*j(m) + 3*q(m)? -m**2 - m + 2 Suppose 1 = 4*l - l - k, 4*l - 2 = k. Let x(j) = -j. Let c(p) = 6955 + 4*p - 6955. Give l*c(v) + 2*x(v). 2*v Let h(j) = -5*j**3 - 3*j**2 + 3*j + 3. Suppose 2*o + 0 - 12 = 0. Let c(r) = 5*r**2 - o*r + r + 0 - 5 + 10*r**3 - r**3. Calculate -3*c(z) - 5*h(z). -2*z**3 Let t(r) = -8*r**2 + 7*r - 8. Let v(b) be the second derivative of -b**4/12 + b**3/6 - b**2/2 + 22*b. Give -t(n) + 6*v(n). 2*n**2 - n + 2 Let x(u) = -2*u**2 - 2*u + 5. Suppose -12 = -8*d + 28. Let b(m) = 3*m**2 + 2*m - 6. Determine d*b(n) + 6*x(n). 3*n**2 - 2*n Let j(t) = -1. Let i(b) = 45*b + 75. What is -i(w) - 75*j(w)? -45*w Let v(h) = -h**2 - 7*h - 15. Let m(y) = -2*y - 5. What is 7*m(l) - 2*v(l)? 2*l**2 - 5 Let u(f) = 13*f**2 + 4*f + 6. Let i be 1/(2*(-2)/28). Let x(b) = b. Let k be x(5). Let c(j) = 6*j + 4 - 3*j**2 - 3*j + 12*j**2. What is i*c(y) + k*u(y)? 2*y**2 - y + 2 Let o(n) = -12*n**3 + 15*n + 15. Let g(s) = s**3 + s + 1. Give -30*g(m) + 2*o(m). -54*m**3 Let f(g) = -19*g**3 + 2*g**2 - 3*g - 3. Let u(v) = -18*v**3 + 2*v**2 - 4*v - 4. Calculate -4*f(q) + 3*u(q). 22*q**3 - 2*q**2 Let v(p) = -2*p**2 - 2*p + 3. Let y(r) = 2*r**2 - r - 6. Let q(t) = -t**2 + t + 3. Let a(h) = 5*q(h) + 3*y(h). Give -4*a(j) - 3*v(j). 2*j**2 - 2*j + 3 Let c be -8*2/(-6)*3. Suppose 0*u = -2*u + c. Let p(z) = -z + z**2 + z**3 - u + 1 + 4. Let a(t) = 4*t**3 + 6*t**2 - 8*t + 6. Give a(r) - 6*p(r). -2*r**3 - 2*r Let k(l) = 7*l**3 + 3*l**2 - 3. Let a(u) = -35*u**3 - 14*u**2 + 14. Determine -3*a(w) - 14*k(w). 7*w**3 Let w(v) = 33*v**2 + 30*v**2 - 61*v**2. Let i(f) = -f**2 - f + 1. Suppose l + 2*b - 3 = 0, 0*l - b + 9 = -2*l. Let p = 2 + l. Give p*i(r) - w(r). -r**2 + r - 1 Let m(k) = 5*k**2. Let t(r) = 2*r**2 + 8*r**2 - 11*r**2. What is -2*m(s) - 9*t(s)? -s**2 Let f(g) = -3*g**3 - 3*g**2 + 2. Let u(h) = 4*h**3 + 4*h**2 - 2. Suppose 7*l + 23 + 12 = 0. What is l*f(x) - 4*u(x)? -x**3 - x**2 - 2 Let n(s) = 6*s**3 - 13*s + 13. Let p be 1515/(-39) + (-6)/39. Let o(a) = a**3 - 2*a + 2. Give p*o(d) + 6*n(d). -3*d**3 Let s(m) = -m - 5. Let x(f) = -10*f - 45. Calculate -35*s(t) + 4*x(t). -5*t - 5 Let y be (2*28/8)/(-2 - -3). Let h(m) = -1 - 4 + 3*m - m. Let w(v) = -v**3 - 2*v**2 + 2*v. Let d be w(-3). Let n(a) = -4*a + 11. Determine d*n(b) + y*h(b). 2*b - 2 Let k(l) = -l - l**2 - 1 + 3*l - l. Let q(m) = 4*m**2 - 2*m + 1. Suppose -12 = -5*n + i, 0 = -4*n + 8*n + 3*i - 21. Give n*k(s) + q(s). s**2 + s - 2 Let l(k) = -2*k + 4. Suppose h + 7 + 7 = -5*y, 10 = -2*h - 4*y. Let w(v) = -3 + h + 1. Determine l(i) + 6*w(i). -2*i - 2 Let o(m) = -19*m**2 - 5*m - 13. Let p(h) = 19*h**2 + 6*h + 13. Let y(n) = 6*o(n) + 5*p(n). Let r(f) = -3*f**2 - 2. Suppose s - 5*s = 24. Give s*y(w) + 39*r(w). -3*w**2 Let q(x) = x**3 - 4*x + 2. Let w(y) = 2*y**3 - 3*y + 2. Give -3*q(u) + 4*w(u). 5*u**3 + 2 Let n(v) = 5*v**3 + 6*v**2 - 2*v. Let u(i) be the first derivative of -3*i**4/2 - 7*i**3/3 + i**2 + 10. Calculate -7*n(c) - 6*u(c). c**3 + 2*c Let p(v) = -4*v + 11. Let n(m) = -3*m + 10. Give 7*n(o) - 6*p(o). 3*o + 4 Let w(t) = 2*t + 17. Let x be w(-7). Let s(l) = 2*l**3 - 2*l**2 + 3*l + 3. Let k(r) = 2*r**3 - r**2 + 2*r + 2. Give x*k(i) - 2*s(i). 2*i**3 + i**2 Let x(c) = c**3 - c. Suppose -2*g + g = -3. Let o = 6 - g. Let w(v) be the third derivative of -v**6/24 + v**4/8 + 3*v**2. What is o*x(l) + w(l)? -2*l**3 Let n(a) = -2*a**2 - 3*a + 2. Suppose 0 = -3*o + 3*s - 0*s + 15, -o - 4*s = 5. Let k(b) = -13*b - 3 - o*b**2 - 5*b**2 + 12. What is -2*k(v) + 9*n(v)? -2*v**2 - v Let u(q) = q**3 - 5*q. Let b be 111/(-27) + (-3)/(-27). Let x(m) = -4*m. What is b*u(k) + 5*x(k)? -4*k**3 Let x = 20 + -11. Let a(s) = 2. Let g(j) = -j + 9. Determine x*a(h) - 2*g(h). 2*h Let b(i) = i - 1. Let l be b(5). Let s(k) = -k**3 + l*k - 18 + 18. Let d(u) = 4 - 3*u - 4 + u**3. Give 7*d(q) + 5*s(q). 2*q**3 - q Let m(v) = -8*v. Let x(f) = 7*f + 1. Let k(s) = -6*m(s) - 7*x(s). Let u(n) = 3. Let p(i) = 8. Let o(c) = -p(c) + 3*u(c). Calculate -k(y) - 6*o(y). y + 1 Let x(n) = -2. Let j(b) = b + 3. Give 3*j(r) + 4*x(r). 3*r + 1 Let d(x) = -x - 2. Let v(z) = -z - 1. Give 4*d(b) - 7*v(b). 3*b - 1 Suppose -2*q + q = 3. Let n(y) = 9*y - 4 + 3 + 5 + 3. Let h(p) be the second derivative of -5*p**3/6 - 2*p**2 - p. What is q*n(s) - 5*h(s)? -2*s - 1 Suppose v = -3*v - 24. Let z(b) = -9*b - 5*b + 17*b**3 + b - 4*b**2. Let c be 640/24 + (-2)/3. Let y(l) = 4*l**3 - l**2 - 3*l. Calculate c*y(t) + v*z(t). 2*t**3 - 2*t**2 Let t(s) = 2*s**2 - 2. Let y be t(-2). Let x(m) = -6*m**2 + m**3 + 1 + y*m - 5*m + 7*m**2. Let h(z) = 2*z**3 + 3*z**2 + z + 3. What is h(f) - 3*x(f)? -f**3 - 2*f Let q(b) = -b**3. Let x = 22 + -23. Let k(z) = 5*z**3 - z. Determine x*k(y) - 4*q(y). -y**3 + y Let n(i) = i**2 + 5*i + 1. Let w(o) be the third derivative of o**4/24 + 6*o**2. Determine n(f) - 6*w(f). f**2 - f + 1 Let f(c) = 26*c**3 - c**2 + 8 + 6*c - 19*c**3 + 2*c**2. Let h(z) = -11*z - 4*z**2 - 15 - 18*z**3 + 5*z**3 + 2*z**2. Give 11*f(t) + 6*h(t). -t**3 - t**2 - 2 Let k(o) = 4*o**3 - 6*o**2 + 1. Suppose -3*n + 46 = 4*i - n, i - 2*n = 9. Let u(p) = 1 - 18*p + 7*p**3 + 18*p - i*p**2 + 1. Determine -11*k(g) + 6*u(g). -2*g**3 + 1 Let n(u) be the second derivative of -u**5/20 - u**4/6 - u**3/6 + u**2/2 + 2*u. Let d(h) = h**2 - 1. Let j(r) = r + 4. Let f be j(-3). Calculate f*d(y) + n(y). -y**3 - y**2 - y Let j(c) = -3*c**2 + 2*c. Let n(r) = -r**2 + r + 6. Let i(h) = -h**2 + h + 7. Let f(p) = 6*i(p) - 7*n(p). Let o = 6 - 2. Determine o*f(y) + 2*j(y). -2*y**2 Let x(t) = -92*t**2 - 5*t - 8. Let r(c) = -31*c**2 - 2*c - 3. Determine -8*r(a) + 3*x(a). -28*a**2 + a Let d(t) = -2*t + 1. Let o(y) = 2*y - 1. Let j = -20 + 11. Let v = 12 + j. What is v*d(s) + 2*o(s)? -2*s + 1 Suppose -t + 0*t = -6. Suppose -x + 18 = t. Let b(o) = -10*o**2 + 12*o - 12. Let m(z) = 4*z**2 + 1 - 4*z**2 - z + z**2. Give x*m(n) + b(n). 2*n**2 Let r(b) = -b**2 - 1. Let m(s) = 3*s**2 - 2*s + 2. Determine m(q) + 4*r(q). -q**2 - 2*q - 2 Let v(j) = -2*j**2 + 2*j + 1. Let g(s) = -s**2 + s + 1. What is -4*g(p) + v(p)? 2*p**2 - 2*p - 3 Let y(v) = -1. Let d(l) be the first derivative of -l**3/3 + l + 1. Give 2*d(g) + 5*y(g). -2*g**2 - 3 Let m(k) = 3*k + 3. Let h(a) = -a - 1. Let f(t) = -7*h(t) - 2*m(t). Let x(j) = 5*j + 4. Calculate 3*f(s) - x(s). -2*s - 1 Let c(l) = 6*l**3 - 2*l**2 + 2*l + 2. Let d(h) = -6*h**3 + 3*h**2 - 3*h - 3. What is -3*c(n) - 2*d(n)? -6*n**3 Let f(b) = -b**3 - 3*b**2 - 3*b - 1. Let j(h) = -3 - 3*h**3 + h - 9*h - 8*h**2 + 0*h. What is 8*f(a) - 3*j(a)? a**3 + 1 Let y(z) = 8*z**3 + 2. Let b(r) = r**3. Suppose 0*l - l + 1 = 0. Give l*y(f) - 6*b(f). 2*f**3 + 2 Let k(j) = -2*j**3 - 9*j - 3. Let c(b) = -4*b**3 - 17*b - 5. Give 4*c(n) - 7*k(n). -2*n**3 - 5*n + 1 Let s(l) = -2*l**2 - 7*l - 4. Let b(p) be the third derivative of p**4/24 + p**3/6 + 3*p**2. Determine 5*b(i) + s(i). -2*i**2 - 2*i + 1 Let s(u) = 2*u + 0*u - 2*u**2 - u**3 + 3*u**3 - 3*u**3. Let g = 2 + 0. Let b(o) = o**3 + 3*o**g - 2*o + 0*o**3 + o**3 - o. What is -2*b(r) - 3*s(r)? -r**3 Let n(l) = 2*l**2 - l - 6. Let c(v) = -v**2 + 2*v + 6. Let u(x) = -5*c(x) - 4*n(x). Let h(w) = -4*w**2 - 7*w - 7. What is 6*h(q) - 7*u(q)? -3*q**2 Suppose -3*s - 8 = w + 2, 0 = 5*w - 4*s - 7. Let u(m) = 8*m**2 + 5*m + 5. Let c(p) = -p**2 - p - 1. Calculate w*u(f) - 6*c(f). -2*f**2 + f + 1 Let j(v) = 2*v. Let b(w) = 3*w. Suppose 5*q - 18 = 2*m, -7*m - 36 = -3*m + 5*q. Determine m*j(n) + 5*b(n). -3*n Let k(u) = 5*u**3 + 5*u**2 - 8*u - 8. Let f(y) be the second derivative of y**5/10 + y**4/6 - y**3/2 - 3*y**2/2 + 26*y. Calculate -8*f(g) + 3*k(g). -g**3 - g**2 Let t(u) = -u**2 - u - 1. Let l(p) = 6*p**2 + 5*p + 5. Let v(x) = 0 + 2*x + 4 + 2. Let w be v(-4). Determine w*l(c) - 10*t(c). -2*c**2 Let a(h) = -3*h - 11*h**3 - 8*h - 9*h**2 - 2 - 11. Let w be (-5 - 108/(-20)) + 22/(-5). Let q(c) = -5*c**3 - 4*c**2 -
{ "pile_set_name": "DM Mathematics" }
+ 2*t**4)*(-47*t + 11*t - 68*t - 25*t). -258*t**5 Expand (0*m**2 - m**2 + 12 - 10)*(7*m + 14*m - 8*m). -13*m**3 + 26*m Expand (2*l + 4 - 4)*(3 + l - 5 + 0*l). 2*l**2 - 4*l Expand (1008*o + 3659*o + 798*o + 4026*o - 1975*o)*(5 - 2 - 4). -7516*o Expand (1 - 8*m - 10*m + 32*m)*(1 - 1 + 1). 14*m + 1 Expand (1 - 3 + 3)*(8 + 3 - 21)*(3*g - 3*g - 5*g). 50*g Expand (3*z**2 - 5*z**2 - 2*z**2)*(29 - 469*z + 32 - 61). 1876*z**3 Expand -t**5 - 3*t**4 + 3*t**4 + (-11*t + 44*t**2 + 11*t)*(4*t**2 + 0*t**2 - 3*t**2)*(-1 + 1 + 4*t). 175*t**5 Expand (2 + 7 - 11)*((-1 - t + 1)*(-3 + 5 - 3) + t + t + 0*t + (3*t - 3*t - t)*(3 - 6 + 0)). -12*t Expand (-2 + 3 + 1 + (-2 - 5 + 5)*(-5 + 4 + 4) + 0 + 1 + 1)*(-u**2 + 0*u**2 - 4*u**2). 10*u**2 Expand (8*k + 7*k - 2*k)*(0*k**2 + 5*k**2 - 4*k**2) + (4 - 4 + k)*(0 + 4 - 2)*(15*k**2 + 20*k**2 + 9*k**2). 101*k**3 Expand (-g + 6*g - 3*g)*(4 - 1 + 1) + (-4 + 5 + 1)*(-7*g - 5*g + 8*g) + g - 4*g + g. -2*g Expand (58*h**4 + 30*h**4 - 48*h**4)*(2 + 2 - 5)*(6*h - h - 2*h). -120*h**5 Expand (j - j - j)*(3 + 0 - 2) + 11*j - 2*j + 20*j. 28*j Expand (1 - 2*y - 1)*(-2 + 2 + 2) - y + 3*y + 0*y + 24*y - 18*y + 56*y. 60*y Expand -5*g**4 + 3*g**4 - 2*g**4 + (0*g - g + 3*g)*(-g**3 - 3 + 3) + 3 - 3 - g**4 + (0*g + 0*g + g**4)*(-1 - 3 + 6) - 2*g**3 + 2*g**3 + g**4 + 4*g - g**4 - 4*g. -5*g**4 Expand -r**2 + r**2 + r**2 + (-15 - 4 - 7)*(0*r**2 - 2*r**2 + 7*r**2). -129*r**2 Expand h**3 + h**3 - 4*h**3 + (5*h - 4*h - 3*h)*(-11*h**2 - 21*h**2 - 12*h**2). 86*h**3 Expand (-13*i**4 - 21*i + 21*i)*(-108 + 283 - 93). -1066*i**4 Expand w**2 - w**2 - 3*w**5 - w**5 + w**3 - w**3 - 2*w**5 + 8*w**5 + 3*w**5 + (2 - w - 2)*(0*w**4 + w**4 - 3*w**4) - 2 + w**5 + 2 - 12*w**3 + 12*w**3 - 5*w**5. 3*w**5 Expand (-w - 2*w**2 + w)*(-8*w - 29 - 15*w + 32). 46*w**3 - 6*w**2 Expand (3 + 3 + 0)*(-3 - 2 + 7)*(4*w + 12*w - 6*w + (1 - w - 1)*(-1 + 2 + 0)). 108*w Expand ((1 + 1 + 0)*(2*k - 4*k + 3*k) + k - 3*k + k - 2*k - 3*k + 6*k)*(50*k**2 - 13*k**2 - 181*k**2). -288*k**3 Expand (-9*x**2 + 4*x**2 - x**2)*(9*x + 6*x - 12*x - 1). -18*x**3 + 6*x**2 Expand -4*m**4 - 2*m**4 + 5*m**4 + (-24*m**3 - 11*m**3 - 8*m**3)*(0*m + 3*m - m). -87*m**4 Expand (-341 + 113 + 117 + 111 + 8155*c**2)*(c**3 + 3*c**3 - 2*c**3). 16310*c**5 Expand (363 - 810 + 399)*(3*g**5 - 5*g**5 + g**5). 48*g**5 Expand (-12*d**3 + 8*d**3 + 7*d**3)*(-42 + 32*d**2 + 42) + (0 - 1 - 1)*(d**5 + d - d). 94*d**5 Expand (510*o**2 + 876*o**2 - 127*o**2 - 712*o**2 + 847*o**2)*(o + 3*o - 6*o). -2788*o**3 Expand -157*z**3 + 157*z**3 - 17*z**4 + (-1 + 2 + 1)*(-2*z**4 + 4*z**4 + z**4). -11*z**4 Expand (-89*u + 3 + 169*u - 88*u)*(u**2 + 1 + 4 + 3*u - 8). -8*u**3 - 21*u**2 + 33*u - 9 Expand (-14*d + 5*d - 31*d)*(3 - 4*d + 7*d + 0). -120*d**2 - 120*d Expand (4*h - 3*h - 3*h)*(1774 - 1774 + 254*h). -508*h**2 Expand (0*d**2 + 0*d**2 + d**2)*(-2*d**2 + 0*d**2 + 3*d**2) + 2*d**4 + d**3 - d**3 - 1 + 1 - 2*d**4 - 5*d**4 + 5*d**4 - 5*d**4 + 0*d**4 - 3*d**4 + d**4 - d**2. -6*d**4 - d**2 Expand 3*q**4 + 4*q**4 - 5*q**4 + (-2*q**3 + 0 + 0)*(-3*q + q + 4*q) + 11*q**4 - 20*q**4 - 80*q**4. -91*q**4 Expand (f + 9*f + 0*f)*(1 - 8 - 10). -170*f Expand (-27 + 4*d + 27)*(-6*d + 11*d - 4*d**2 - 6*d + 2*d**4). 8*d**5 - 16*d**3 - 4*d**2 Expand (4 + 1 - 3)*(-7*a**2 - 9*a**2 - a**2)*(17 - 5 + 4)*(0*a + 3*a - 2*a). -544*a**3 Expand (-13*x - 18*x + 11*x)*(-5 + 6 + x - 2*x**2 + x**2)*(-2 - 2 + 3). -20*x**3 + 20*x**2 + 20*x Expand -623*s**2 + 1269*s**2 + s - 634*s**2 + (s + 3*s - 5*s)*(s + 2*s - 4*s). 13*s**2 + s Expand (-2*c + 0*c + 5*c)*(4 - 3 - 2 + 8*c). 24*c**2 - 3*c Expand 8*b**2 + 61*b**2 + 81*b**2 + 2*b**2 - 2*b**2 + b**2 + 2 + b**2 - 2 - b**2 + b - b + (-2*b**2 + 0 + 0)*(1 - 1 - 1). 153*b**2 Expand (-d + 4*d - d)*(2 - 3 + 0) + 3 - 3*d - 3 + (-4 - 2 + 4)*(-4*d + 0*d + 2*d) - 2*d + 0 + 0 - 3*d + 6*d - 2*d - d - 3*d + 0*d - 7*d - 14*d + 18*d. -9*d Expand (-41*x - 47*x + 13*x + (-3 - 2 + 4)*(-2*x - 3*x + 4*x))*(-2 + 0*x + 2*x**2 + x + 0*x). -148*x**3 - 74*x**2 + 148*x Expand (m - m + m**2)*(37*m**2 + 42*m**2 - 47*m**2). 32*m**4 Expand 4*u**4 - 2*u**4 + 4*u**4 + 3*u**4 + 4*u**4 - 2*u**4 + (-2*u**2 - 3 + 3)*(u**2 - u**2 + 2*u**2) + 3*u**4 - 7*u**4 - 2*u**4. u**4 Expand (-5 - 36 + 5)*(-u + 6*u - 3*u)*((0 - 1 + 0)*(2 + 3 - 4) + 3 - 4 - 1). 216*u Expand (4*h - h + h)*(-196 + 72 - 76) + (3 - 3 - 2)*(-3*h + 0*h + h). -796*h Expand (2*a**2 + 6*a**2 + a**2)*(3*a + 2*a - 3*a)*(3 - 3 - 1). -18*a**3 Expand (0*c**2 + 0*c**2 + c**2)*(8*c - 13*c + c) - 5*c**2 + 2*c**3 + 5*c**2 + (2*c - 2*c - 2*c)*(6*c**2 - 4*c**2 - 3*c**2) - c**3 - 2*c + 2*c. -c**3 Expand (-3*x - 4*x + 4*x)*((0 - 4 - 3)*(1 - 2 + 0) - 2 + 3 - 6)*(-4 + 0 + 2). 12*x Expand (-13 + 3*r**2 + 13)*(-32*r + 0*r**2 + 19*r - r**2) + (-5*r**4 + 4*r**4 + 0*r**4)*(-6 + 4 + 0). -r**4 - 39*r**3 Expand 0*x**3 - 4*x**3 + 2*x**3 + (21*x**2 - 42*x**2 - 23*x**2)*(3*x + 0*x - 2*x). -46*x**3 Expand (-3 - 9 - 7)*(0*l**3 + 0*l**3 - 2*l**3)*((4 - 4 - 1)*(-1 + 3 - 1) + 4 + 1 - 3). 38*l**3 Expand (-3*q - 3*q + 4*q + (7 - 3 - 3)*(0*q - 2*q + 4*q) + 2*q - 2*q + q + (-6*q - 14*q + 24*q)*(1 + 3 + 0))*(2*q**4 + 3*q**4 - 6*q**4). -17*q**5 Expand (-2*n**2 - 1 + 1)*(-73*n**2 + 4*n**2 + 2*n**2 - 3 - 3*n) - n**4 + 2*n**4 - 3*n**4. 132*n**4 + 6*n**3 + 6*n**2 Expand ((3*y - 3*y - y)*(y - y + y**2) - 314*y + 314*y + 88*y**3)*(3*y + 3*y**2 + y - 2*y). 261*y**5 + 174*y**4 Expand (-3*v + 0*v + v)*((3 - 1 + 0)*(-2*v - v**2 + 2*v) - 43*v**2 + 421 - 421). 90*v**3 Expand (70*y - 4 + 20*y - 41*y)*(1 + 0 + 0). 49*y - 4 Expand 1 - i**5 - 1 + (-1101 + 656 + 888)*(-2*i**5 + 2*i**5 + 2*i**5). 885*i**5 Expand -8 + 8 - 6*b**2 + (-6 + 1 + 3)*(2*b**2 - 4*b**2 + 0*b**2) - 6*b**2 - 3*b**2 + 2*b**2. -9*b**2 Expand (5 - 1 - 2)*(-2 - n + 2)*(12*n - 12*n + 49*n**3). -98*n**4 Expand (6*o**3 - 15*o**3 + 10*o**3)*(0 - 3 + 1)*(4 - 3 - 3). 4*o**3 Expand (c - c - c)*(-1 + 4 - 2) - 9 - 6*c + 9 + (-2 + 4 - 3)*(-3*c + c + 0*c). -5*c Expand (-3 - 5*w + 3)*(6 + 17*w - 1 - 16*w). -5*w**2 - 25*w Expand (-2*t**2 - 2*t**2 + 5*t**2)*(3*t + t - 5*t) - 862*t**3 + 392*t**3 + 3 + 384*t**3 + 456*t**3. 369*t**3 + 3 Expand (2 - 4 + 3)*(-2*l**2 - 2*l**2 - 3*l**2). -7*l**2 Expand (1756*n - 891*n - 886*n)*(2*n - 5*n + 0*n). 63*n**2 Expand (j**2 - 2*j**2 + 3*j**2 + (-2*j + 2*j - j)*(j + 0 + 0))*((-4 - 1 + 4)*(0 - 2 - 10) - 2 - 1 + 6). 15*j**2 Expand 2*k**5 + 26*k**2 - 26*k**2 - 8*k**3 + (-42 + 42 - 14*k)*(3*k**4 - 3*k**4 + 2*k**4). -26*k**5 - 8*k**3 Expand (-3 - 2 + 3)*(29*f - 117*f - 154*f + (3 - 1 + 0)*(-f - 2*f + 5*f)). 476*f Expand 4*b**2 + 6*b**2 - b**2 + (-7*b + 3*b**2 + 7*b)*(-1 + 2 + 0) + (-3 - 2*b**2 + 3)*(-1 + 2 - 3). 16*b**2 Expand (5*g**2 - 3*g**2 - 3*g**2)*(-7*g - 5*g - g) + (7*g**3 - 15*g**2 + 15*g**2)*(-5 - 2 + 2). -22*g**3 Expand -y**5 - 2*y**3 + 2*y**3 + (2 - 6 + 2)*(-3*y**5 + 2*y**5 + 3*y**5) - 2*y**5 + y**2 - y**2 + 59*y**2 - 59*y**2 - 31*y**5 - 3*y**5 + 0*y**5 + 4*y**5. -37*y**5 Expand (10*c + 11*c - 16*c + (-5 + 5 - 2)*(-6*c + 2*c + 2*c))*(5*c**3 - 1 + 1). 45*c**4 Expand -85*t - 542*t - 681*t - 320*t + 0 + t + 0 + (-2*t - 2 + 2)*(3 - 3 - 1). -1625*t Expand (66 + 13 + 34 + 6)*(2*h + 0 + 0). 238*h Expand (-73 - 59*a + 73)*(-3*a**3 - 2*a**3 + 4*a**3)*(-a + 3*a - 3*a). -59*a**5 Expand (-9*r**4 - r**4 + 60*r**4)*(-3*r + 5*r + 0*r) + r**5 + 0*r**3 + 0*r**3. 101*r**5 Expand (0 - 4*v**2 + 0)*(-27*v**3 - 39*v**3 - 31*v**3). 388*v**5 Expand (-194 - 137 - 112)*(0*s + 0*s + s). -443*s Expand (-1 + 0 + 2)*(-2 - 228*t**2 + 500*t**2 - 213*t**2). 59*t**2 - 2 Expand -5*d**4 + d**4 - d**4 + (-5 + 4 + 2)*(0 + 0 - d)*(4*d**3 - 3*d**3 + d**3). -7*d**4 Expand (-5*t**4 + 4*t**4 + 0*t**4)*(35 - 30 + 16) + (t**3 + 4*t**3 - 4*t**3)*(-2*t + 4*t + 0*t) + 3*t**4 - t**4 - 3*t**4 + t**4 - 1 + 1. -19*t**4 Expand 11*f**4 - 2*f**3 - 14*f**4 + f**4 + 3*f - 1 + (-f + f - 2*f**4)*(-1 - 3 + 8) - f**3 + f**3 + f**4. -9*f**4 - 2*f**3 + 3*f - 1 Expand (47 - 20 - 23)*(q**2 - 2 + 2). 4*q**2 Expand (7 + 3 + 2)*(229*o - 485*o + 212*o). -528*o Expand (0*d + 0*d + d)*(0*d + 3 + d - 4) - 3*d**2 - 3*d**2 - 7*d**2. -12*d**2 - d Expand (-36393*r**2 - 2*r + 36406*r**2 + 9*r)*(r + 2*r - 2*r). 13*r**3 + 7*r**2 Expand (73 + 75 - 160)*(l**4 + 6*l**2 - 6*l**2). -12*l**4 Expand (-2*j**3 - j**3 + 2*j**3)*(164*j**2 + 5*j - 5*j). -164*j**5 Expand (4 - 3 - 2)*(5 + 5 - 4)*(-95 + 95 + 28*r). -168*r Expand 3*i + 3*i - 2*i + (5*i -
{ "pile_set_name": "DM Mathematics" }
, 116, 2, -1 in ascending order. -529, -1, 2, 7, 116 Put -4, -2, -3, -146, -9, 19, 3 in descending order. 19, 3, -2, -3, -4, -9, -146 Sort -1, 4749260, 0 in decreasing order. 4749260, 0, -1 Put 431, -2, -1751 in descending order. 431, -2, -1751 Put 5, 6, 0, -4, -1, 441, 211 in descending order. 441, 211, 6, 5, 0, -1, -4 Put 5, -1, 4, -15, -8, -22, 0 in descending order. 5, 4, 0, -1, -8, -15, -22 Put 5/6, -3, -3/2, 19/430, 0.5 in descending order. 5/6, 0.5, 19/430, -3/2, -3 Sort 2/11, -3, 69.052, 3, 1. -3, 2/11, 1, 3, 69.052 Sort -12, -71, -3, -5032. -5032, -71, -12, -3 Put 621, 16, 17, 2, -151, 3 in ascending order. -151, 2, 3, 16, 17, 621 Put 0, -7/6, 2642, 299 in decreasing order. 2642, 299, 0, -7/6 Sort 62, -1, 2, -16026, 3 in decreasing order. 62, 3, 2, -1, -16026 Sort -61, -0.16734, 0, -2/9, 4. -61, -2/9, -0.16734, 0, 4 Put 716, -5, 1634, -81 in decreasing order. 1634, 716, -5, -81 Sort 6981, -12, 1/2, -29, 4/7, -3 in descending order. 6981, 4/7, 1/2, -3, -12, -29 Sort -3, 2, -16, -45, -12, 1, 40 in ascending order. -45, -16, -12, -3, 1, 2, 40 Put 2/11, -24309, -718 in decreasing order. 2/11, -718, -24309 Put -4, 291, -6, -49, -5 in decreasing order. 291, -4, -5, -6, -49 Sort -1/3, -2256, 2, 1.7, 0, 0.4, 5. -2256, -1/3, 0, 0.4, 1.7, 2, 5 Sort -6371, -2, 6, -2235 in ascending order. -6371, -2235, -2, 6 Sort -2/7, 0.19, -1/305565 in decreasing order. 0.19, -1/305565, -2/7 Put -7, 8, 5, -62, 32 in descending order. 32, 8, 5, -7, -62 Sort -1/2, 0.3, 5, -18, -619. -619, -18, -1/2, 0.3, 5 Sort -4, 386, 0, 42, 36, 1 in decreasing order. 386, 42, 36, 1, 0, -4 Sort 5, -436, -35879, -2 in decreasing order. 5, -2, -436, -35879 Put -166, 35, -2, 6, 4 in increasing order. -166, -2, 4, 6, 35 Sort 5, 5856, -3, -4. -4, -3, 5, 5856 Sort 3, 277, -4041. -4041, 3, 277 Sort 3, -38, -1974, -1/79 in decreasing order. 3, -1/79, -38, -1974 Sort 12, -540, 507, -2. -540, -2, 12, 507 Sort -8779, -5, 5, 2, -3, 0.3. -8779, -5, -3, 0.3, 2, 5 Sort 5/63, -13, 4/3, -0.007165 in descending order. 4/3, 5/63, -0.007165, -13 Put -1251, 0, -1, -4, -6, -24 in ascending order. -1251, -24, -6, -4, -1, 0 Sort 4, 5, 216, 1, -1283 in descending order. 216, 5, 4, 1, -1283 Sort 468, -7, 698, 1, 4. -7, 1, 4, 468, 698 Sort -2/9, 27195, 77. -2/9, 77, 27195 Put 0.274, -2, 146, 53, 1/7 in increasing order. -2, 1/7, 0.274, 53, 146 Sort 0.2, -0.5, -9950, -1, 3, 23/38 in increasing order. -9950, -1, -0.5, 0.2, 23/38, 3 Sort -2, 2/3, -97.8, -0.2, 10, -3/5 in descending order. 10, 2/3, -0.2, -3/5, -2, -97.8 Put -553, 226.55, -3, 2/11 in descending order. 226.55, 2/11, -3, -553 Put -136, -403, -142, 5, -4, -2 in increasing order. -403, -142, -136, -4, -2, 5 Sort 5, -12, 312, -4, -2236 in decreasing order. 312, 5, -4, -12, -2236 Sort -159, -10, 92. -159, -10, 92 Sort -18, -153, -5, 412, -2, 4 in decreasing order. 412, 4, -2, -5, -18, -153 Sort 6, -7, 248, -4, 5, 3, 168 in increasing order. -7, -4, 3, 5, 6, 168, 248 Put -17853, 39, -0.144 in ascending order. -17853, -0.144, 39 Put 2, -161, -4, 1, 0, -180 in decreasing order. 2, 1, 0, -4, -161, -180 Put -2, -0.1, 3, -2/9, -2/47, 9, 0 in descending order. 9, 3, 0, -2/47, -0.1, -2/9, -2 Put -36, 243, -51663 in ascending order. -51663, -36, 243 Put -1, -79483, 253, 2 in decreasing order. 253, 2, -1, -79483 Sort 5, -122, 16, -4/47, -1/4, -0.1 in descending order. 16, 5, -4/47, -0.1, -1/4, -122 Put -1/2, 557330, 2/9, 2/7 in descending order. 557330, 2/7, 2/9, -1/2 Sort -5, -2743, -47, 3, -2, -4, 5. -2743, -47, -5, -4, -2, 3, 5 Put 5, -3, 24, 0, -276 in increasing order. -276, -3, 0, 5, 24 Put 5, 1, 0, -5, 212, 11140 in ascending order. -5, 0, 1, 5, 212, 11140 Sort -7, -56275, -3, -1. -56275, -7, -3, -1 Sort 0, -11275, 5, 1, 4, -19, -1 in descending order. 5, 4, 1, 0, -1, -19, -11275 Put 79, -33, -2, -3172 in increasing order. -3172, -33, -2, 79 Sort -5/4, 2, 468, -1.6, -2/19 in increasing order. -1.6, -5/4, -2/19, 2, 468 Sort 2, 0.4, -2100, 0.3, 8, -3/4 in descending order. 8, 2, 0.4, 0.3, -3/4, -2100 Put -9379, -14, -357 in descending order. -14, -357, -9379 Put 3/13, -2722, -103 in increasing order. -2722, -103, 3/13 Put -2/7, 5, 3, 123/637 in descending order. 5, 3, 123/637, -2/7 Sort -170.174, 0, -4/5 in descending order. 0, -4/5, -170.174 Put -2, 0.04, -582, 2/11, 2, 23 in increasing order. -582, -2, 0.04, 2/11, 2, 23 Sort 33, 3, 6, -4, -195, -2, 125 in descending order. 125, 33, 6, 3, -2, -4, -195 Sort 331, -35, 0, -4, 8, -2, 3. -35, -4, -2, 0, 3, 8, 331 Sort 1820288, 1, 2/9 in descending order. 1820288, 1, 2/9 Sort 0.1, -0.01, -7, 3/2, -0.9 in descending order. 3/2, 0.1, -0.01, -0.9, -7 Put -143900, 36, -0.3, 0.1 in decreasing order. 36, 0.1, -0.3, -143900 Put 0.07, 5, 0.5, 0, -395, -15, 3 in decreasing order. 5, 3, 0.5, 0.07, 0, -15, -395 Sort -2.3089, -14, -6, -4 in increasing order. -14, -6, -4, -2.3089 Sort -21, -3664/33, -2/17 in descending order. -2/17, -21, -3664/33 Put -5062.9, -2/7, -3.67 in descending order. -2/7, -3.67, -5062.9 Sort 2, -2/15, 1, -4352984 in increasing order. -4352984, -2/15, 1, 2 Sort -4, 2078, -5, 133, -17. -17, -5, -4, 133, 2078 Put -1/12, -76, 0.183877 in ascending order. -76, -1/12, 0.183877 Sort -1, 4, 114971, 2, 5, 0. -1, 0, 2, 4, 5, 114971 Sort 5525, 17, -5937. -5937, 17, 5525 Put -6/11, -4, 24, 42 in ascending order. -4, -6/11, 24, 42 Sort 4, -16658, 0.2, 5, -7/16 in descending order. 5, 4, 0.2, -7/16, -16658 Put -421, -91, 3, 2/7, -2/11, 0.2 in ascending order. -421, -91, -2/11, 0.2, 2/7, 3 Sort -4, 4, -3, -23, 411 in descending order. 411, 4, -3, -4, -23 Put -1, -5762, -0.06, 1/80 in increasing order. -5762, -1, -0.06, 1/80 Put 2/9, -318748529, 1/3 in descending order. 1/3, 2/9, -318748529 Sort -1, -1460, -120, -5 in decreasing order. -1, -5, -120, -1460 Sort -8/9, -7589, -0.02 in ascending order. -7589, -8/9, -0.02 Put -29, 4, 36, -2, 0 in ascending order. -29, -2, 0, 4, 36 Put -1/93, -4, -0.3, 56, -7 in descending order. 56, -1/93, -0.3, -4, -7 Sort -1, 0.1, 2430283. -1, 0.1, 2430283 Put -5, -2, -49, 30/7, 85/11 in descending order. 85/11, 30/7, -2, -5, -49 Sort -8213, -0.2, 0.03, 1, 4, -0.38 in descending order. 4, 1, 0.03, -0.2, -0.38, -8213 Sort -4, 2, -196132 in decreasing order. 2, -4, -196132 Sort -879, 0.145464, -0.1. -879, -0.1, 0.145464 Put -0.012, -0.1, 37/455 in descending order. 37/455, -0.012, -0.1 Put -3514238, 1, 4 in ascending order. -3514238, 1, 4 Sort 1, 2, 3, -9129, -5, 18 in increasing order. -9129, -5, 1, 2, 3, 18 Put 1, -25.1, -1/6, -0.4, -74/3 in increasing order. -25.1, -74/3, -0.4, -1/6, 1 Sort -289, 2, 34, 1, -69, 6 in decreasing order. 34, 6, 2, 1, -69, -289 Put 7472422, 2, 0 in increasing order. 0, 2, 7472422 Put -2, -50353, -0.3, 1/3 in ascending order. -50353, -2, -0.3, 1/3 Sort -185, -26408, 5 in increasing order. -26408, -185, 5 Sort -105, -0.2, -999, -0.1 in decreasing order. -0.1, -0.2, -105, -999 Put 1/5, -3, -0.0892, -58.4 in descending order. 1/5, -0.0892, -3, -58.4 Put 7, -311.1, -12.26 in descending order. 7, -12.26, -311.1 Put 5, 37, 4, -3, 2, -16 in increasing order. -16, -3, 2, 4, 5, 37 Put -43, -3, -4, -2, 32, -1, 9 in ascending order. -43, -4, -3, -2, -1, 9, 32 Sort 0, -14, -4, -306, -63 in ascending order. -306, -63, -14, -4, 0 Put -14, -24, -5, 617 in descending order. 617, -5, -14, -24 Put -473224, -23, -5 in decreasing order. -5, -23, -473224 Sort -4/3, -82, 65, 15 in increasing order. -82, -4/3, 15, 65 Sort 0.38, -0.7, 0.5, -47, 16/45. -47, -0.7, 16/45, 0.38, 0.5 Sort 0, -15/2, -3/5, 364, 1.2, 2/9 in increasing order. -15/2, -3/5, 0, 2/9, 1.2, 364 Put -505, 281, -13 in ascending order. -505, -13, 281 Put 1, -1/7, -443345.4, -0.5, 0 in descending order. 1, 0, -1/7, -0.5, -443345.4 Sort 1342, 83.4, 14 in descending order. 1342, 83.4, 14 Sort 0.07, -4, -7.1, 5/14584 in decreasing order. 0.07, 5/14584, -4, -7.1 Sort -5, 6, -12, 78, 7, -16 in descending order. 78, 7, 6, -5, -12, -16 Put -13506/47, 0.2, -7, -5/3 in ascending order. -13506/47, -7, -5/3, 0.2 Put -0.5, 7, 2/9, 3, 2.8, 68 in ascending order. -0.5, 2/9, 2.8, 3, 7, 68 Sort -2, -54, 5, -585, -114, 4. -585, -114, -54, -2, 4, 5 Sort 2, -7692, 520 in decreasing order. 520, 2, -7692 Sort 24, -21/25, 7/5, -0.2, -1 in increasing order. -1, -21/25, -0.2, 7/5, 24 Sort 97, 0.086784, 4, 2/15 in increasing orde
{ "pile_set_name": "DM Mathematics" }
648*q + 18 Let v(g) = g. Let z(r) = 39*r**2 - 175*r - 330. Give v(z(c)). 39*c**2 - 175*c - 330 Let j(x) = 8*x**2 - x - 3. Let q(t) = 8*t - 62. Calculate q(j(u)). 64*u**2 - 8*u - 86 Let i(p) = 131*p**2. Let a(g) be the third derivative of -5*g**4/24 + g**2 - 1. Calculate i(a(r)). 3275*r**2 Let o(c) = 6*c**2 - 48. Let g(h) = -28*h - 195. Let a(m) = -2*m - 15. Let i(q) = 52*a(q) - 4*g(q). Determine i(o(y)). 48*y**2 - 384 Let l(q) = q. Let m(p) = 30523*p**2 - 699*p - 699. Let y(u) = -218*u**2 + 5*u + 5. Let h(o) = -5*m(o) - 699*y(o). What is l(h(s))? -233*s**2 Let j(p) = -p**2. Let u be (15/(-10))/(((-15)/20)/1). Let h(a) = -15*a**2 + 6*a**u - 20*a**2 - 11*a**2 - 12*a**2. What is j(h(o))? -2704*o**4 Let a be 7/14*59/885. Let l(v) be the third derivative of -5/3*v**3 + 38*v**2 + 0*v**4 + 0 - a*v**5 + 0*v. Let g(w) = w**2. Give l(g(z)). -2*z**4 - 10 Let w(d) = -9*d**2. Let y(r) be the first derivative of 0*r**3 - 1/8*r**4 + 5 - 13/2*r**2 + 0*r. Let v(a) be the second derivative of y(a). What is w(v(b))? -81*b**2 Let o(r) = -10*r**2. Let b(i) be the third derivative of 11*i**6/180 + 94*i**3/3 + 46*i**2 + 2*i. Let f(x) be the first derivative of b(x). What is o(f(n))? -4840*n**4 Let t(q) = 4*q**2. Let n(c) be the third derivative of c**5/30 - 25*c**4/8 + 7*c**2 + 48*c. Determine n(t(g)). 32*g**4 - 300*g**2 Let n(j) = j**2. Let d(v) = -62*v**2 - 868*v - 3038. Let f(b) = -b**2 + 2*b + 7. Let h(p) = 2*d(p) + 868*f(p). Determine n(h(s)). 984064*s**4 Let r(a) = 941*a**2. Let k(g) = 13*g**2 - 20622*g. What is k(r(l))? 11511253*l**4 - 19405302*l**2 Suppose 249 = -7*f - 276. Let q be f*((-16)/10 + 1). Let d(z) = q*z - 14*z - 20*z. Let k(h) = 3*h. Give d(k(r)). 33*r Let g(v) be the second derivative of -v**6/180 + 9*v**4/4 - 48*v. Let o(s) be the third derivative of g(s). Let x(n) = -13*n. Give x(o(w)). 52*w Let w(q) = -5*q - 15. Let d(g) = -10*g - 30. Let f(b) = -6*d(b) + 13*w(b). Let n be f(-9). Let y(a) = -43*a + n*a + 26*a. Let t(v) = -v**2. Calculate t(y(j)). -169*j**2 Let g(f) = 4971*f - 52. Let j(h) = -157*h**2. What is g(j(c))? -780447*c**2 - 52 Let i(r) be the second derivative of -75*r**3/2 + r**2 + r + 910. Let z(k) = -11*k**2. Give z(i(v)). -556875*v**2 + 9900*v - 44 Let s(p) = 2*p**2 - 35. Let r(f) = 31450*f**2. Determine s(r(j)). 1978205000*j**4 - 35 Let v(c) = 187*c**2. Let q(z) be the second derivative of -10*z**3/3 - z**2 + 14450*z. Determine q(v(a)). -3740*a**2 - 2 Let s(i) = -48*i. Let w(l) = 22*l**2 - 30*l. Let t(n) = -21*n**2 + 35*n. Let x(v) = -6*t(v) - 7*w(v). What is x(s(c))? -64512*c**2 Let r(f) = -2*f**2 + 274*f. Let w(u) = 1081*u. Determine w(r(k)). -2162*k**2 + 296194*k Let l(x) be the third derivative of 7*x**5/30 + 737*x**2. Let d be 1/((-2)/(-2 - 26)). Let v(i) = -2*i**2 + 14*i - i**2 - d*i. Determine l(v(u)). 126*u**4 Let g(d) = 33*d. Let p(k) = 5*k**2 - 80*k**2 - 3*k + 2*k - k + 4*k. Determine g(p(n)). -2475*n**2 + 66*n Let y(k) = -39*k. Let q(z) = 7381*z + 5. Give y(q(b)). -287859*b - 195 Let c(n) = 19*n. Suppose -71*j + 67*j + 52 = 0. Suppose -j*r + 5*r + 24 = 0. Let h(o) = 0*o - 7*o + o + r*o. Determine h(c(g)). -57*g Let k(x) be the first derivative of 7*x**3/3 - 22. Let t(r) = -r**2 - 36*r. Let f(l) = l**2 + 66*l. Let c(v) = 6*f(v) + 11*t(v). Calculate k(c(i)). 175*i**4 Let q = 2873 + -2838. Let k(w) = -w**3 + 8*w**2 - 8*w + 9. Let l be k(6). Let t(n) = 67*n**2 - l*n**2 - q*n**2. Let f(z) = 6*z**2. Calculate t(f(g)). -36*g**4 Let q(h) be the second derivative of -h**6/12 + h**3/2 + 6*h**2 - 86*h. Let v(y) be the second derivative of q(y). Let c(k) = 3*k. What is v(c(n))? -270*n**2 Let v(w) = -4. Let q(b) = 2*b**2 + 88. Let g(j) = q(j) + 14*v(j). Let s(p) = -7*p**2. Determine s(g(u)). -28*u**4 - 896*u**2 - 7168 Suppose m - 28 = -9. Suppose 0*j - 5*q = 4*j - 23, -3*q = 5*j - m. Let d(u) = 3*u**2 + 4*u + 0*u**2 + 21*u - j*u**2. Let v(s) = s. Give v(d(g)). g**2 + 25*g Let c(k) = 94*k. Let i(m) = 108*m**2 - 626*m - 2. What is c(i(t))? 10152*t**2 - 58844*t - 188 Let j(w) = -w. Suppose p = 2*c + 13, 32 - 115 = -5*p + 4*c. Let z(n) = 19 - 8*n - p. Calculate j(z(v)). 8*v Let x(y) = -1490*y + 750*y + 740*y + 1700*y**2. Let o(q) = -2*q**2. What is o(x(l))? -5780000*l**4 Let w(q) = -6*q**2. Let j(y) = -16483543*y**2. Calculate w(j(c)). -1630243138997094*c**4 Let b(m) = -116*m. Let l(z) = 2847*z**2 - 4*z. What is l(b(y))? 38309232*y**2 + 464*y Let l(x) = -922*x. Let k(m) = 2*m**2 - 2*m. Let u(a) = 7*a**2 - 8*a. Let v(b) = -4*k(b) + u(b). What is v(l(g))? -850084*g**2 Let f(s) = 71257012*s. Let k(v) = -3*v**2. Give k(f(c)). -15232685277504432*c**2 Let g(c) = -868*c**2. Let x(z) = 329836*z. What is x(g(j))? -286297648*j**2 Let a = -91 - -93. Let v(w) = -24*w - 7*w**a - 28*w + 52*w. Let h(r) = 10*r. Determine v(h(t)). -700*t**2 Let w(a) = -7*a - 12. Let x(u) = u + 2. Suppose 5*g - 3*g = 3*d - 7, -4*g - 25 = 5*d. Let v(p) = d*w(p) - 6*x(p). Let l(f) = 114*f**2 + 1. Give l(v(m)). 114*m**2 + 1 Let j(b) = -5*b**2. Let i(k) be the third derivative of -461*k**5/20 - 140*k**2. Determine j(i(s)). -9563445*s**4 Let m(b) = -57379471*b. Let f(w) = -7*w**2. What is m(f(h))? 401656297*h**2 Let l(o) = -o. Suppose 12 = 3*w + w. Let f(j) = j**2 - 7. Let m be f(w). Let n(z) = -11*z**m - 7*z**2 + 4*z**2 - 2*z**2. Give n(l(s)). -16*s**2 Let m(n) = 303409 + 66*n**2 - 303409. Let a(f) be the second derivative of f**4/6 - 8*f. What is m(a(z))? 264*z**4 Let z(l) = -68*l. Let g(u) be the third derivative of 0 + 0*u - 29*u**2 + 0*u**3 - 1/20*u**5 + 0*u**4. Determine g(z(c)). -13872*c**2 Let f(w) = 2*w + 3. Let s(o) = -11*o + 41. Let p be s(4). Let r(u) = 2*u + 2. Let a(x) = p*r(x) + 2*f(x). Let z(i) = -167*i. Give a(z(b)). 334*b Let f(u) = -17551*u**2 - 418. Let v(g) = -14*g**2. Give f(v(c)). -3439996*c**4 - 418 Let k(h) = 3*h**2. Let p(z) = 64*z + 118. Let l(f) = -37*f - 60. Let s(t) = 7*l(t) + 4*p(t). Calculate s(k(y)). -9*y**2 + 52 Let b(a) = 5210251*a. Let h(p) = -4*p**2. What is b(h(s))? -20841004*s**2 Let i(d) = -15*d + 6. Let b(h) = -9*h + 5. Let g(u) = 6*u - 3. Let y(p) = 2*b(p) + 5*g(p). Let s(f) = 5*i(f) + 6*y(f). Let n(a) = 39*a + 2. Determine n(s(q)). -117*q + 2 Suppose -42*m + 56*m = 28. Let x(k) = 1611*k + 65*k**2 + 162*k**m - 1611*k. Let h(c) = -c**2. What is x(h(u))? 227*u**4 Let h(i) = 1137*i**2 + 1142*i**2 - 2268*i**2. Let g(p) be the third derivative of -p**5/60 - 33*p**2. Determine h(g(d)). 11*d**4 Let o(v) = -992*v. Let w(t) = -11*t**2 + 42*t + 7. Let a(u) = -3*u**2 + 12*u + 2. Let p(f) = 7*a(f) - 2*w(f). Determine p(o(j)). 984064*j**2 Let r(i) be the first derivative of -i**2 + 17*i + 955. Let u(k) = -13*k**2. Give r(u(f)). 26*f**2 + 17 Let b(g) = -7559*g + 15157*g + 11*g**2 - 7598*g. Let v(w) = 92*w**2 - 4. What is v(b(u))? 11132*u**4 - 4 Let u(k) = -17*k. Let w(c) be the second derivative of 0*c**2 - 7/6*c**4 + 9 + 11*c + 0*c**3. Determine w(u(h)). -4046*h**2 Let o(z) = -2*z - z + 4*z - 3*z. Let d(f) = -25*f**2 + 64*f**2 + f**2 + 21*f**2 + 8*f**2. Calculate o(d(w)). -138*w**2 Let s(a) = -3*a + 18. Let k be s(6). Let r(u) = -5*u + k*u + 0*u + 4*u - 3*u. Let o(d) = 2*d**2. Determine r(o(x)). -8*x**2 Let f(u) = -u**2 + 14*u + 41. Let x be f(17). Let o(s) = s + 1. Let q(w) = w + 5. Let l(v) = x*o(v) + 2*q(v). Let m(k) = k**2. What is m(l(p))? 64*p**2 Let m(w) = -954556534*w. Let x(k) = -k. Determine x(m(o)). 954556534*o Let m(y) = 4*y. Let w(x) = 1025*x**2 + 100*x. Let d(l) be the first derivative of -31*l**3/3 - 3*l**2/2 + 75. Let i(p) = 100*d(p) + 3*w(p). Calculate m(i(s)). -100*s**2 Let a(p) = -2*p**2 - 39*p - 24. Let y be a(-19). Let u(j) = -11*j + 16. Let w(d) = 7*d - 10. Let c(h) = y*u(h) - 8*w(h). Let b(o) = -12*o**2. Determine b(c(f)). -12*f**2 Let f = 23 + -21. Let z(j) be the third derivative of -34*j**4 + f*j + 33*j**4 - 23*j**2 - 2*j. Let r(v) = 2*v**2. Calculate r(z(p)). 1152*p**2 Let c(x) = -4*x + 2 - 27 + 13 + 12. Let l(z) be the second derivative of 2*z**4 - 19*z. Determine c(l(i)). -96*i**2 Let l(c) = 24*c. Let a(o) = -24*o. Let x(j) = 4*a(j) + 5*l(j). Let u(r) be the second derivative of -r**4/12 - 1493*r + 1. Calculate u(x(v)). -576*v**2 Let m(v) = -73*v - 73*v - 76*v + 214*v. Let l(a) = -257*a. Determine m(l(z)). 2056*z Let y = -3 + 5. Let a(r) = -2*r + 2*r - r**y. Let b(m) = 48*m**2 + 66*m + 11. Let v(o) = -16*o**2 -
{ "pile_set_name": "DM Mathematics" }
-0.3, 1/4? 1/4 Which is the third smallest value? (a) -2/13 (b) -17 (c) -3/4 (d) -11 c What is the third biggest value in -2, -3/4, -149? -149 What is the biggest value in 0.5, -0.01, 0.4? 0.5 Which is the second smallest value? (a) 2/13 (b) 4 (c) -2/2673 (d) -0.3 c What is the second biggest value in 11, -0.5, -68? -0.5 Which is the third smallest value? (a) 142 (b) 2/3 (c) -5 (d) -0.7 b What is the second smallest value in -4, 1/3, 0.1, -1/6, -283? -4 What is the smallest value in 2/15, 0, -1, -0.75? -1 What is the biggest value in 1/6, 5, -5.4? 5 Which is the biggest value? (a) 0.2 (b) 2.8 (c) 0.9 b Which is the fourth smallest value? (a) -1/8 (b) -0.1 (c) 6/11 (d) -18/7 c Which is the smallest value? (a) -2/13 (b) 0.69 (c) 2/11 a What is the second biggest value in 1, 1/4, -2/5? 1/4 Which is the second smallest value? (a) -7 (b) 3/5 (c) 1/2 (d) -2/3 (e) -1/2 d Which is the smallest value? (a) -12.6 (b) -4 (c) 0.3 a Which is the third biggest value? (a) 35/6 (b) 2 (c) 0.5 (d) -4 c What is the third biggest value in -5, 3, -82? -82 What is the third smallest value in 1, -1, 24, 0.3? 1 Which is the biggest value? (a) -2/11 (b) 0.3 (c) 2/15 b Which is the third smallest value? (a) -49/6 (b) -3/5 (c) -1/6 c Which is the second biggest value? (a) -0.1 (b) -5 (c) -0.3 (d) -0.09 (e) 1/4 d What is the biggest value in -0.3, 12, 1/5, 2? 12 Which is the biggest value? (a) 1.7 (b) -1/4 (c) 6 (d) 3/5 c Which is the smallest value? (a) -1/5 (b) -1 (c) 2/43 b What is the biggest value in -1, 2, 1? 2 Which is the third biggest value? (a) -2/3 (b) -0.06 (c) 4 a Which is the third biggest value? (a) 45 (b) 5 (c) -0.11 c Which is the smallest value? (a) -8/5 (b) 3 (c) 20 (d) 2 a What is the third biggest value in -3/8, -0.1, -6.24? -6.24 Which is the second biggest value? (a) 0.38 (b) -5 (c) 0.3 c What is the smallest value in 8/13, 6, 3, 0? 0 What is the second smallest value in 0.4, 3/8, 1, 1/130? 3/8 What is the fourth biggest value in 0.1, -5, -102, -24? -102 What is the biggest value in 2, 8, 14? 14 Which is the biggest value? (a) -4 (b) -0.06 (c) -627 (d) 0.3 d Which is the second smallest value? (a) -0.117 (b) 2/11 (c) -0.2 (d) -0.5 c What is the third smallest value in -26, -0.4, 2, -5, -0.6? -0.6 What is the smallest value in -1/5, 2/11, 40/9? -1/5 What is the second biggest value in -0.2, -5, 0.049? -0.2 What is the second biggest value in 2, -23, 0.4, -5/7, -2? 0.4 What is the biggest value in -644, 0.5, 5? 5 Which is the fourth smallest value? (a) 4 (b) 2 (c) 0 (d) 2/11 a What is the smallest value in 448, 5, -3? -3 What is the smallest value in -2, 3, -0.11? -2 Which is the biggest value? (a) -5/2 (b) -0.06 (c) 5 c Which is the fourth smallest value? (a) -3 (b) 4/3 (c) 245 (d) 1/3 c What is the second biggest value in -38, -2/25, 2? -2/25 Which is the smallest value? (a) 2 (b) -0.2 (c) -0.4 (d) -27/2 (e) 10/9 d Which is the second biggest value? (a) -0.4 (b) 0 (c) 0.001 (d) -2 b Which is the fourth biggest value? (a) -1.3 (b) 2 (c) 8 (d) -0.5 (e) -0.1 d Which is the second smallest value? (a) 4 (b) 0.1 (c) -6 (d) -2/3 d What is the second smallest value in -1.2, 4, -8/23? -8/23 Which is the smallest value? (a) -5 (b) 2/5 (c) 0.1 (d) -4 (e) -0.1 a What is the smallest value in 0, -0.18, 5, -2/13? -0.18 What is the second biggest value in -1/2, -5, 99/65? -1/2 What is the third smallest value in -463, 3/4, 2/21, -1/3? 2/21 What is the second biggest value in -32.2, 0, -1? -1 What is the biggest value in 2, -22, 2/5? 2 What is the second biggest value in -3, 2.3, -1? -1 Which is the second biggest value? (a) 5 (b) -0.75 (c) -2.8 b Which is the fourth biggest value? (a) 9 (b) -5 (c) -1/3 (d) 0 (e) 2 c Which is the third smallest value? (a) 224 (b) 0.5 (c) -1/4 a Which is the third smallest value? (a) 11 (b) 0 (c) -0.013 a Which is the second smallest value? (a) -2 (b) -28 (c) 4 (d) -1/2 a What is the smallest value in -8, 5, 4? -8 Which is the third biggest value? (a) 0 (b) -0.2 (c) 23 (d) -1/8 (e) -0.3 d What is the third biggest value in 1/2, 0.43, -9? -9 What is the third biggest value in -94, 5, 2/7, -5? -5 Which is the third smallest value? (a) -0.04 (b) -4/7 (c) 13 (d) -2/5 (e) 2 a What is the third smallest value in 1, 0, 1.8, 17? 1.8 Which is the third smallest value? (a) -15 (b) 2/11 (c) -1/5 (d) -5.4 c What is the third smallest value in 0.6, -3, -4? 0.6 What is the third smallest value in 1, 2.8, 1.7? 2.8 Which is the second biggest value? (a) -2 (b) -3/4 (c) -0.176 (d) 0.4 (e) 2 d What is the second smallest value in 0.29, -2, -4/3, 2/61, 2/13? -4/3 What is the second biggest value in -2, -5, -55/3, 5/4? -2 What is the second smallest value in 11, 2, 8? 8 What is the fourth biggest value in -0.8, -1/4, 0.3, -4? -4 What is the biggest value in 4/3, 2/3, -0.1, 4, 0.4? 4 What is the third smallest value in 5/129, 4, -1? 4 What is the third smallest value in -664, -1/7, -5, 0.3? -1/7 Which is the smallest value? (a) 0.5 (b) -0.243 (c) -5 (d) -0.2 c What is the second smallest value in -0.3, -12, 2226? -0.3 What is the biggest value in 14, -3/7, 0.04? 14 What is the biggest value in -13/3, 9, -5? 9 What is the third biggest value in 2/7, 10, 514? 2/7 Which is the second smallest value? (a) -5 (b) -90 (c) 0.3 (d) -1 a What is the second biggest value in -0.5, 2/13, -5/4? -0.5 Which is the second smallest value? (a) 1 (b) -1 (c) 1/27 c What is the biggest value in 0, 1/8, -129? 1/8 Which is the third biggest value? (a) -4/3 (b) 5 (c) 4/3 (d) 0 d What is the third smallest value in 0, 65.1, -0.4? 65.1 What is the smallest value in -2, 36, 4/3, 0.4? -2 Which is the third smallest value? (a) 183 (b) -4 (c) 2/5 (d) -1 (e) -25 d Which is the biggest value? (a) -3 (b) -32 (c) -1 c What is the fifth smallest value in 24, 4, -1/4, -2, 2? 24 What is the third smallest value in 2, 2.6, -3? 2.6 Which is the second biggest value? (a) 3/4 (b) 1/6 (c) 0.5 (d) 0.033 c Which is the second biggest value? (a) 1 (b) 0.4 (c) -18 b What is the third biggest value in -3, -22, 4? -22 What is the fourth biggest value in -5, 38, 1, 0.3? -5 Which is the third smallest value? (a) 2 (b) 47 (c) 2/9 b Which is the smallest value? (a) 0.5 (b) -0.1 (c) 8/5 b What is the third biggest value in 19/21, 3/5, -5? -5 What is the fifth biggest value in -1.1, 3, -5, -1/3, -7? -7 Which is the second biggest value? (a) -2/1097 (b) 1 (c) -5 a What is the second smallest value in 2/55, -0.031, 2/3, -0.2? -0.031 Which is the third biggest value? (a) -3/8 (b) -0.5 (c) 4 b Which is the second biggest value? (a) -5 (b) 3 (c) -1/3 c Which is the biggest value? (a) -2 (b) 2/9 (c) 17 (d) -4/5 c What is the third biggest value in -2, -11, -1/3? -11 What is the second biggest value in 2/11, 3, -2, -4? 2/11 What is the fifth smallest value in -4, -1/4, -0.3, -2, 0? 0 Which is the fourth smallest value? (a) -95 (b) 2 (c) -0.5 (d) -4 b What is the second smallest value in 7/4, -28, -1/4? -1/4 Which is the third biggest value? (a) 1/26 (b) 68/5 (c) -1/5 c Which is the second biggest value? (a) -90 (b) -2/3 (c) 0.2 (d) -0.1 d Which is the biggest value? (a) -4 (b) 0.26 (c) 2/5 c What is the second smallest value in -0.0443, 0.5, 4? 0.5 Which is the third smallest value? (a) 2/9 (b) 2/3 (c) -0.5 b What is the third smallest value in 1/19, -4, 10? 10 Which is the second smallest value? (a) 2/17 (b) -3 (c) 5 (d) -0.03 (e) -6 b Which is the fourth biggest value? (a) -0.2 (b) -0.3 (c) 5 (d) -134 d Which is the third biggest value? (a) 11/6 (b) 1 (c) -47 c Which is the third smallest value? (a) -4/15 (b) -3 (c) -2/9 (d) -2 a Which is the fourth smallest value? (a) 0 (b) 5/3 (c) 4 (d) -0.3 c What is the fourth smallest value in -1/5, -5, -1, -2/11? -2/11 What is the third biggest value in -13, -2, 1.2? -13 Which is the third smallest value? (a) 5 (b) 0.2 (c) -0.01 (d) 0.94 (e) 0.4 e What is the fourth biggest value in 3/7, 2, -3, 3/8? -3 What is the third smallest value in -3, 6, 3? 6 What is the third smallest value in -2/7, 0.3, 5, -453? 0.3 Which is the third smallest v
{ "pile_set_name": "DM Mathematics" }
u + 42, -4163*u = 2*y - 4164*u + 14 for y. -7 Solve 3*b - 4*t = -19, -905*t = -900*t - 20 for b. -1 Solve -5*y = -5*p + 60, 0 = -2*p - 4*y - 0*y + 24 for p. 12 Solve -42 = -3*m - 3*s, -59*m + 6*s - 64 = -63*m for m. 10 Solve v - u + 7 = 0, 5*v - 7*v = 4*u - 10 for v. -3 Solve 5*b - s = -13, 4*b + s - 36 = -50 for b. -3 Solve -s - 13 = u - 3*u, 0 = -3*u - 3*s + 6 for u. 5 Solve -2376 + 2354 = 5*f + 3*y, -3*f + 5*y = -14 for f. -2 Solve -c - 14431*d + 14435*d + 32 = 0, 0 = -3*c - d + 5 for c. 4 Solve -3*q = 3*d + 5 + 31, -2*d + 8 = -2*q for q. -8 Solve -3*h - 9 = 5*b, 625*h = -b + 629*h + 12 for b. 0 Solve -3*b + 4*f + 31 = 0, -11 + 0 = -221*b + 224*b + 2*f for b. 1 Solve 5*v + 159*m - 8 - 62 = 154*m, v + 2*m = 25 for v. 3 Solve 0 = -6*s + 5*s + k - 6, -k = -9 for s. 3 Solve -69*u + 68*u + t = 0, 3*u - 6*t = 0 for u. 0 Solve 6*s + 23*m - 8 = 19*m, -4*m = -s + 6 for s. 2 Solve -3*b + o = -11, 5*b + 152*o - 157*o = 15 for b. 4 Solve -x - 6 = 192*m - 194*m, 0 = -6*m + 10*m + 8 for x. -10 Solve 10*x + 5*o - 5 = 5*x, 4*o = 20 for x. -4 Solve -o = 1165 - 1169, -2*l - 4 = o for l. -4 Solve -3 = -3*g, -9*t + 105 - 110 = -5*g for t. 0 Solve -1315*v + 1317*v = -5*g + 18, v = g + 9 for g. 0 Solve 125*x = 51*x + 4*g - 374, 4 = 4*g for x. -5 Solve 2*l = 5*m + 28, -108*m + 12 = -109*m + 2*l for m. -4 Solve 5*d + 4*k + 28 + 5 = 0, -4*d + 7*k - 6 = 0 for d. -5 Solve 2407*x = 2402*x + 4*f + 80, 0 = -5*x + 2*f + 90 for x. 20 Solve 1923*x - 1920*x + 5*h + 5 = 0, 22*x - 118 = 2*h for x. 5 Solve 3*p - 5*s = 2, s - 86 = -3*p - 72 for p. 4 Solve 2*q + 331 = 321, 3*q = 3*r - 9 for r. -2 Solve -887*g = -w - 890*g - 7, 3*w - 2*g - 23 = 0 for w. 5 Solve -b + 3*m - 730 = -723, -3*m = -5*b - 47 for b. -10 Solve -4*i = -2*f - 0 + 6, 5*i - 26*f = -78 for i. 0 Solve -4*j - 135*n = -143*n + 12, -7 = -3*n + 2 for j. 3 Solve -2*q + 289 = -5*i + 283, -q + 3 = 5*i for i. 0 Solve -52 = -3*q + 4*i, 1461*q - 1466*q + 4*i + 52 = 0 for q. 0 Solve -5*m + 6 = -2*y, 2*m + 4 = -7*y + 22 for m. 2 Solve 4*z = -2*t + 22, 19 = 17*t - 12*t + z for t. 3 Solve 0 = -3*r + 15, 7*s - 3*r + 58 - 50 = 0 for s. 1 Solve 6*x - 7*x = -4*x, 0 = 3*h - 3*x + 21 for h. -7 Solve -34*s + 28*s + 5*x - 15 = 0, -2*x = -5*s - 6 for s. 0 Solve -201 + 204 = 3*y - 3*s, -3*y - 5*s - 13 = 0 for y. -1 Solve -p = 3*y - 42, 37*p - 69 = -5*y + 35*p for y. 15 Solve 0 = y - 2*j - 48 + 56, -5*y + 2*j - 16 = 0 for y. -2 Solve 0 = -u - 12*r + 38, 0 = 18*u - 19*u - r + 5 for u. 2 Solve -s = -3*h - 132 + 129, 17 = -h - s for h. -5 Solve -r - l = -6, 17*l - 45 = -4*r + 20*l for r. 9 Solve -q = -9*h + 18, 0 = -154*h + 155*h + 3*q - 86 for h. 5 Solve 13*l - 37 = -5*g + 11*l, 4*l = g - 3 for g. 7 Solve -5*s + v = 1199 - 1219, 0 = -4*s + 3*v + 16 for s. 4 Solve -98*g = -98*g - h, 0 = 3*g - 4*h + 12 for g. -4 Solve -4*i + 33 = -4*c - 3, 2*i - 24 = 4*c for c. -3 Solve 3*h + 72 - 95 = 5*l, 5*l + 5*h = 25 for l. -1 Solve -3*y + 31 = -5*g, -4*y + 7*y = -5*g - 49 for y. -3 Solve 3*v + 53*s + 3 = 50*s, -7 = v - s for v. -4 Solve 421 - 461 = 5*c - 8*v, 3*c - 15 = -3*v for c. 0 Solve 5*v - 6*v = 4*v + 10*t, -3*t + 20 = -v for v. -8 Solve 171*d - 174*d = -4*u + 15, -3*u + 7 = 2*d for d. -1 Solve 7*b - 8*b - 4*k = -13, 4*k = 21 - 9 for b. 1 Solve 4*d + 72*y + 36 = 76*y, 2*y = -30*d - 174 for d. -6 Solve -4 = -3*o - 245*p + 246*p, -4*p - 28 = 0 for o. -1 Solve 0 = -4*b + 5*m + 32, -205 = -b + 10*m - 162 for b. 3 Solve -5*h = 3*c + 7, 7*c - 11*c = 3*h + 2 for h. -2 Solve 0 = 3*g + 3, -828*v + 830*v + 3 = 5*g + 4 for v. -2 Solve -4*d + 70 = -5*o + d, 0 = -7*d + 8*d for o. -14 Solve -2*w - 10 = 0, 2*w = 8*t - t + 18 for t. -4 Solve 5*t - 25 = -j, 0 = -5*j + 5*t - 9 + 14 for j. 5 Solve 43*u - 3*x - 12 = 46*u, 8*u + 84 = 5*x for u. -8 Solve -2*o + 12 = 4*f, -4*f + 0*o + o = -18 for f. 4 Solve 10*z + 122 = c, 821*z - 43 - 5 = 825*z for c. 2 Solve -26*w + 25*w = -5*l - 11, -w - 4*l - 16 = 0 for w. -4 Solve -4 = l + 3*s, 76*s - 81*s = 3*l + 4 for l. 2 Solve -v + 5*b + 35 = 0, 0 = 1922*v - 1919*v - b + 7 for v. -5 Solve 0 = 4*l - v + 13, 0 = 7*l - 2*v + 6*v - 6 for l. -2 Solve -65*i + 3*h = -62*i - 15, 19*i - 53 = -2*h for i. 3 Solve -104*j + 19 = -g - g - 109*j, -3*j = -2*g + 5 for g. -2 Solve 99*p - 98*p - 5*i = 15, 3*p - 5*i = 35 for p. 10 Solve -u + 390 - 421 = 4*x, -2*u - x - 6 = 0 for u. 1 Solve 33*z - g + 1 = 30*z + 12, -4*g = 3*z - 1 for z. 3 Solve -i + 16 = 2*w, 2*i - 102 = 4*w - 142 for i. -2 Solve -210*h = -209*h + 3, 0 = 4*t + 3*h + 13 for t. -1 Solve -90 = -5*h - 5*n, 96*h + 5*n = 97*h for h. 15 Solve 4*l + 5*t = 161 - 116, 5*t - 25 = -0*t for l. 5 Solve -84210*a + 84204*a - 5*q - 53 = 0, -35 = 5*a - 5*q for a. -8 Solve -3*u + 9 = -3*r, 0 = -r - u + 5*u - 27 for r. 5 Solve -8 = -4*s + 8*w, 623*s - 2*w - 12 = 627*s for s. -2 Solve 8*h = k + 43, -2*k = 44*h - 42*h - 22 for k. 5 Solve 70*u = 69*u, 10 = 3*a - 5*a - 3*u for a. -5 Solve 9*k - 10 = 4*t - 29, -2 = t for k. -3 Solve -3*n + 18 = -2*i, -96*i - 5*n - 36 = -92*i for i. -9 Solve 3 = -3*w, 5*w = -3*r + 19 - 12 for r. 4 Solve 3*h = 759 - 765, 2 = 5*v - h for v. 0 Solve x = 7585*h - 7589*h + 47, h + 3*x = 20 for h. 11 Solve 2117*m = 5*c + 2115*m - 11, 0 = 5*c - 3*m - 4 for c. 5 Solve -5*j + 20 = -2*v, -16314*j = 3*v - 16310*j - 16 for v. 0 Solve -a - a - 68*m + 4 = -72*m, -3*m = m for a. 2 Solve -15 = -5*l + 4*w, -7*w + 9 = 19*l - 16*l for l. 3 Solve -5*j - 2*i + 11 = 0, j + 3430*i = 3432*i + 7 for j. 3 Solve -2*d - 18 = 4*h, -29*d = 3*h - 60*d - 214 for h. -1 Solve 3*r + 420*b = 421*b + 3, 0 = 2*r + 4*b - 2 for r. 1 Solve -g = 3*g + 3*k + 9*k, 5*k + 11 = 31 for g. -12 Solve -7*h = 3*r + 779 - 762, 0 = 2*h - 4*r for h. -2 Solve 0 = -4*r + j - 8, -2060*r + 2*j - 11 = -2057*r for r. -1 Solve 0 = 5*v + j + 8, -65*v - 3*j - 2 = -61*v for v. -2 Solve -19 = -o - 6*a, 7351*o - 7354*o - 48 = -3*a for o. -11 Solve 0 = 1216*b - 1211*b - 3*v + 67, 5*b + 2*v + 47 = 0 for b. -11 Solve 5*f + 10 = 4*z, -2*z = -6*f + 16 - 28 for f. -2 Solve -36 = 5*t + 5*c - 16, -5*t - 2*c - 14 = 0 for t. -2 Solve -2*p - 40 = 4*d, 2*p = 28*d - 33*d - 48 for p. -4 Solve -5*i - u = -4, -5*u = 29499*i - 29501*i - 20 for i. 0 Solve -4*r + 10 = -2*y, 0 = 826*r - 827*r - 3*y - 22 for r. -1 Solve 2*u + 6 = 4*u, -30*k = -25*k - 2*u + 41 for k. -7 Solve 3*o + 15 = -3*l, 0 = 38*o - 42*o - 28 for l. 2 Solve 0 = -3*k - 3, 5*y + 3*k + 37 = -26 for y. -12 Solve -4*b - 32 = -4*n, 1130*b = 1131*b - 4*n + 8 for b. -8 Solve 3*w = 2*h - 8 + 13, w = -4*h + 25 for h. 5 Solve 3*j = -5*v - 141 + 125, 2*v - 3*j - 2 = 0 for v. -2 Solve -33*c + k + 10 = -38*c, -5*c - 3*k = 0 for c. -3 Solve -5*i - 7*t + 29 = -8*t, -5*i = -5*t - 45 for i. 5 Solve 112 - 129 = f - 4*p, 2*p = 6 for f. -5 Solve -2*n - 9 = 81*r - 78*r, n + 5 = -r for r. 1 Solve -3*k - 75*z + 71*z + 2 = 0, -3*k - 3*z + 3 = 0 for k. 2 Solve -10*v + 52 = 2*g, -29*g = 5*v - 33*g - 21 for v. 5 Solve 4*w - 16 = -4*p - 8, p + 6 = -5*w for p. 4 Solve -94895*l + 94893*l - 5*c = -19, 5*l + 2*c - 16 = 0 for l. 2 Solve 3*u = 3*n, -19*u - 22*u + 39*u = 9*n for n. 0 Solve -l + 4*f - 13*f = -32, -4*l + 120 = 5*f + 116 for l. -4 Solve -4*n - 2*c = -58, -3*c = -865*n + 862*n + 30 for n. 13 Solve -236*d - 34 = -7*q - 231*d, 4*d = q + 5 for q. 7 Solve 3*d + 51 = -2*i, -d - 4*i + 57 = 84 for d. -15 Solve -4*o - 3*g - 24 - 21 = 0, g + 8 = o + 21 for o. -12 Solve 16*r + 4*y + 79 = 131, 5*r - y = 14 for r. 3 Solve -3*b + 8 = n, 29*n - 3*b + 4 = 31*n for n. -4 Solve -4*i = -44*n + 39*n - 33, -137 = -3*n - 20*i for n. -1 Solve 7*s - 4*p + 11 = -0*p, 0*s = -s - p for s. -1 Solve 2*u = -3*a - 48 + 25, 2*a + 42 = 4*u for u. 5 Solve -3*w + 4*x - 3 = 9, -3*x = 2*w - 26 for w. 4 Solve -3*l - 24 = -z, 5*l + 1641*z - 1643*z + 40 = 0 for l. -8 Solve -5*w + 5 = 0, 10 = 4*o + 2*w - 28 for o. 9 Solve -j - 2*q + 11 = 0, -q + 29 = 4*j + 2*q for j. 5 Solve -1493*l + 15 = -3*c - 1487*l, l = c + 5 for c. -5 Solve 24 = -5*i - 3*p, -5*i = 14*p + 64 - 7 for i. -3 Solve 2*o + 48650*p - 7 = 48655*p, -p - 3 = -2*o for o. 1 Solve 5*u + 25 = -4*a, -3091*u = -5*a - 3086*u + 70 for a. 5 Solve -5*w = 3*y + 40, 3*y + w + 1527 - 1507 = 0 for y. -5 Solve 198*v = 202*v + 52, y = -v - 9 for y. 4 Solve 0 = 4*l - 12 - 8, 0 = -4*s + l + 15 for s. 5 Solve -3*m - 33 = 4*g, -14*m = -18*m + 2*g for m. -3 Solve 0*y = -f - 3*y + 2, 0 = -5*f + y + 26 fo
{ "pile_set_name": "DM Mathematics" }
8 What is the highest common divisor of 38622 and 1413? 471 Calculate the highest common factor of 120 and 14610. 30 What is the highest common factor of 63 and 39081? 21 Calculate the greatest common factor of 56 and 18732. 28 Calculate the highest common factor of 27897 and 663. 51 Calculate the greatest common factor of 51964 and 44. 44 What is the highest common divisor of 3594 and 1346552? 1198 What is the highest common divisor of 4818 and 3139? 73 Calculate the greatest common factor of 10406 and 10750. 86 What is the highest common divisor of 1590312 and 6432? 1608 Calculate the highest common divisor of 720 and 1543536. 144 What is the highest common factor of 175 and 90300? 175 What is the greatest common factor of 12 and 7960? 4 What is the greatest common divisor of 5710 and 230? 10 Calculate the highest common factor of 65 and 41665. 65 Calculate the greatest common factor of 1426 and 7657. 31 What is the highest common divisor of 1224 and 950436? 612 What is the greatest common factor of 179 and 17293548? 179 What is the greatest common factor of 28861 and 1085? 217 Calculate the greatest common divisor of 4747 and 808. 101 What is the highest common factor of 12 and 140124? 12 Calculate the greatest common factor of 130869 and 786. 393 Calculate the highest common divisor of 5700 and 684. 228 What is the greatest common factor of 2938 and 8658? 26 Calculate the greatest common factor of 22 and 19723. 11 What is the greatest common factor of 8325 and 1686645? 1665 Calculate the highest common divisor of 16341 and 6. 3 Calculate the highest common divisor of 1048 and 3208. 8 Calculate the greatest common factor of 17 and 15062. 17 What is the highest common divisor of 4476 and 3156? 12 What is the highest common divisor of 40526 and 92? 46 What is the highest common factor of 24386 and 123176? 178 Calculate the highest common factor of 3619030 and 10. 10 Calculate the greatest common factor of 4060 and 191632. 812 Calculate the highest common factor of 24474 and 36. 6 Calculate the greatest common divisor of 64 and 4509680. 16 What is the highest common divisor of 740 and 4889180? 740 Calculate the highest common divisor of 223124 and 7744. 484 Calculate the greatest common factor of 3960 and 2835. 45 What is the greatest common factor of 1078 and 49434? 154 Calculate the greatest common factor of 213724 and 252. 28 What is the highest common factor of 25 and 294925? 25 Calculate the greatest common divisor of 1988 and 7526. 142 Calculate the highest common divisor of 459 and 1173663. 459 Calculate the greatest common divisor of 9590 and 98. 14 What is the greatest common divisor of 30821 and 2072? 259 What is the greatest common factor of 1469965 and 105? 35 What is the highest common factor of 2336 and 36354? 146 Calculate the greatest common divisor of 880 and 48. 16 What is the highest common factor of 1223451 and 401? 401 Calculate the highest common factor of 301 and 12857. 43 Calculate the greatest common divisor of 91351 and 91. 13 What is the greatest common factor of 10 and 107892? 2 What is the greatest common divisor of 8883 and 1281? 21 What is the greatest common factor of 15300 and 7820? 340 What is the highest common divisor of 294368 and 2032? 16 Calculate the greatest common divisor of 14041038 and 57. 57 What is the highest common factor of 118663 and 535? 107 Calculate the highest common divisor of 225901 and 26. 13 What is the greatest common factor of 2337642 and 3294? 1098 What is the greatest common divisor of 364 and 5613062? 182 Calculate the highest common divisor of 250 and 271720. 10 Calculate the greatest common divisor of 46768 and 1480. 296 Calculate the highest common divisor of 234 and 11531. 13 What is the highest common factor of 6860 and 1120? 140 Calculate the highest common factor of 1855 and 45421. 53 Calculate the highest common divisor of 23636 and 532. 76 What is the greatest common divisor of 380 and 285570? 190 What is the highest common divisor of 14849 and 128851? 479 What is the greatest common factor of 24728 and 75308? 1124 Calculate the highest common factor of 61264 and 560. 112 Calculate the highest common divisor of 476 and 21556. 68 Calculate the highest common divisor of 645 and 46053. 129 Calculate the highest common divisor of 3781 and 95. 19 Calculate the greatest common factor of 66816 and 261. 261 What is the highest common divisor of 1279 and 19644161? 1279 Calculate the greatest common divisor of 8302 and 154. 14 What is the highest common factor of 4 and 67698? 2 What is the highest common factor of 12315 and 615? 15 Calculate the greatest common factor of 1078946 and 11. 11 Calculate the highest common factor of 44822 and 81322. 146 Calculate the greatest common factor of 117 and 471159. 117 What is the greatest common factor of 154336 and 2597? 371 What is the highest common divisor of 127 and 835025? 127 What is the greatest common factor of 280 and 190925? 35 What is the highest common divisor of 1064 and 16644? 76 What is the greatest common divisor of 19740 and 3640? 140 Calculate the highest common factor of 2839 and 470773. 167 What is the highest common divisor of 4943597 and 23? 23 Calculate the highest common divisor of 2638671 and 105. 21 What is the greatest common divisor of 1815 and 40095? 165 What is the highest common factor of 7749676 and 44? 44 What is the highest common factor of 283926 and 6162? 474 What is the greatest common divisor of 31 and 181? 1 Calculate the greatest common factor of 20701 and 1016. 127 What is the greatest common factor of 12178 and 8? 2 Calculate the highest common divisor of 683964 and 48. 12 Calculate the highest common factor of 846929 and 33621. 1601 Calculate the greatest common divisor of 1607200 and 7700. 700 Calculate the greatest common divisor of 49 and 507003. 49 Calculate the highest common factor of 241085 and 520. 65 Calculate the greatest common factor of 57968 and 128. 16 Calculate the greatest common factor of 39307 and 23. 23 Calculate the greatest common factor of 81 and 3861. 27 Calculate the highest common factor of 1978 and 34753. 23 What is the greatest common factor of 25481 and 8903? 307 Calculate the highest common factor of 38505 and 595. 85 What is the greatest common divisor of 63195 and 66? 33 What is the greatest common factor of 27 and 151236? 9 What is the greatest common divisor of 3528 and 8656? 8 What is the highest common factor of 25 and 817975? 25 What is the highest common factor of 10959 and 507? 39 What is the greatest common factor of 6559 and 151794? 937 What is the highest common factor of 62176 and 34572? 268 Calculate the greatest common factor of 432 and 24516. 108 What is the highest common divisor of 527 and 409003? 17 Calculate the highest common factor of 880 and 1420. 20 Calculate the greatest common divisor of 7710 and 4890. 30 What is the highest common factor of 460 and 32292? 92 What is the highest common divisor of 1920100 and 65? 65 Calculate the greatest common factor of 7689 and 198. 33 What is the highest common divisor of 59458 and 1054? 62 Calculate the highest common factor of 10703 and 259. 7 What is the highest common factor of 982 and 6? 2 What is the highest common divisor of 221270 and 1199? 109 Calculate the greatest common factor of 2900 and 36250. 1450 What is the highest common divisor of 1670 and 3060? 10 Calculate the highest common factor of 954 and 20637. 9 What is the highest common factor of 16760 and 6280? 40 What is the greatest common factor of 429434 and 246? 82 Calculate the highest common divisor of 864 and 383616. 864 What is the highest common factor of 507000 and 5250? 750 Calculate the highest common divisor of 60868 and 68. 4 Calculate the highest common divisor of 1673026 and 114. 38 What is the highest common divisor of 2 and 936401? 1 What is the greatest common divisor of 235450 and 102? 34 What is the highest common divisor of 9922 and 40777? 121 What is the greatest common divisor of 9 and 298656? 9 Calculate the greatest common divisor of 1125 and 9375. 375 Calculate the greatest common factor of 29718 and 468. 234 What is the greatest common divisor of 2520 and 6696? 72 What is the greatest common divisor of 96 and 184
{ "pile_set_name": "DM Mathematics" }
8516766 a multiple of 17? False Is 2367494580 a multiple of 1005? True Does 2251 divide 132378331? False Is 739356735 a multiple of 171? False Does 139 divide 315332298? False Is 149 a factor of 356610580? False Is 2749337496 a multiple of 67? True Is 1155574 a multiple of 59? True Is 7 a factor of 9888711? True Is 658578502 a multiple of 983? False Is 66753628 a multiple of 3754? True Does 46 divide 2359304084? False Is 85868750 a multiple of 1375? True Is 23249487 a multiple of 129? False Does 5 divide 40729950? True Is 25115034 a multiple of 21? True Is 536141877 a multiple of 6? False Is 45 a factor of 59128875? True Is 79805111 a multiple of 276? False Does 334 divide 39500510? True Does 25 divide 29816959? False Is 596936097 a multiple of 9? True Is 884269 even? False Does 6 divide 305453147? False Is 8 a factor of 216906235? False Is 628466264 a multiple of 24? False Is 24611921 a multiple of 4? False Is 351 a factor of 2168829? True Is 1362977069 a multiple of 1430? False Is 250847904 a multiple of 96? True Is 557 a factor of 4244050415? False Is 628 a factor of 175202580? True Is 980 a factor of 348226150? False Is 19 a factor of 151981893? True Is 1396 a factor of 1000361036? True Is 25003607 a multiple of 33? False Is 4018 a factor of 1268615194? True Does 2 divide 11597104? True Is 187145882 a multiple of 114? False Is 1418 a factor of 10137282? True Is 15256851 a multiple of 12? False Is 29687659 a multiple of 59? False Is 22 a factor of 148519756? True Is 73172352 a multiple of 187? True Is 209 a factor of 19511972? False Is 9 a factor of 53731600? False Does 49 divide 715321159? True Is 95853880 a multiple of 43? True Is 199594356 a multiple of 87? True Is 20961420 a multiple of 12? True Is 163205737 a multiple of 7? False Is 343291036 a multiple of 130? False Does 464 divide 64206464? True Is 165 a factor of 14624253? False Is 53 a factor of 7973214? True Does 73 divide 65783293? True Does 5576 divide 602648504? True Is 8772741 a multiple of 76? False Is 125 a factor of 36336537? False Does 11 divide 1819235522? False Is 15 a factor of 113131735? False Is 61389272 a multiple of 28? True Is 749716868 a multiple of 1284? False Is 10 a factor of 937773400? True Does 20 divide 14857120? True Is 156 a factor of 29601000? True Is 24 a factor of 149155944? True Does 162 divide 781937874? True Is 7 a factor of 69413883? True Is 92390008 a multiple of 83? False Does 2603 divide 2018922943? False Does 50 divide 3648494? False Is 119 a factor of 4039455? True Is 125 a factor of 159613421? False Does 16 divide 293319229? False Does 346 divide 1554486? False Does 228 divide 65785788? False Is 122 a factor of 369889444? False Is 307778057 a multiple of 4? False Does 96 divide 37441344? True Does 98 divide 614418252? True Is 14627474 a multiple of 31? True Does 326 divide 22329370? True Does 42 divide 175157668? False Is 2173163 a multiple of 51? False Is 39642674 a multiple of 8? False Is 2378 a factor of 1134985388? False Is 24307284 a multiple of 58? False Is 1192 a factor of 7939283? False Is 9 a factor of 572856881? False Is 17 a factor of 1640535427? False Does 14 divide 1073716? True Does 3095 divide 1176100? True Does 49 divide 29459580? False Is 8 a factor of 299295552? True Does 85 divide 1162677345? True Is 4 a factor of 502484? True Does 10 divide 46247475? False Does 4 divide 35152000? True Is 50898011 a multiple of 353? True Does 5702 divide 1087941600? True Is 11 a factor of 29267194? True Does 20 divide 2813093160? True Does 1473 divide 7471056? True Does 13351 divide 4466016308? True Is 31 a factor of 1005034? False Is 38306109 a multiple of 61? True Is 44426968 a multiple of 21? False Does 3122 divide 493313501? False Is 36 a factor of 64760040? True Is 229951417 a multiple of 32? False Is 42068305 a multiple of 253? False Does 15 divide 100897241? False Is 855088026 a multiple of 1131? True Does 1677 divide 3111542? False Is 9 a factor of 269342228? False Is 55587490 a multiple of 203? True Is 3 a factor of 37017568? False Is 181479331 a multiple of 2? False Is 7 a factor of 65684823? False Is 32682464 a multiple of 2? True Is 81274104 a multiple of 274? False Does 111 divide 2618666381? False Does 21 divide 724687614? True Is 263 a factor of 20214180? True Is 268 a factor of 1174450728? False Does 8535 divide 4720332960? True Is 25 a factor of 1636725? True Is 121 a factor of 159770243? False Is 12 a factor of 345841827? False Is 1396984559 a multiple of 167? True Does 417 divide 147465508? False Is 22 a factor of 35671196? True Does 86 divide 166815576? True Is 777 a factor of 3064195071? True Is 7883615 a multiple of 5? True Is 99 a factor of 2483210565? True Is 92317698 a multiple of 3942? True Is 8 a factor of 3180066928? True Does 216 divide 20758844? False Is 10929600 a multiple of 230? True Is 13 a factor of 40441583? True Is 35726505 a multiple of 163? False Does 224 divide 67404881? False Does 174 divide 512101013? False Is 18835580 a multiple of 610? True Is 141205948 a multiple of 26? True Does 14 divide 11112571? False Does 2097 divide 73616742? False Is 1372048200 a multiple of 6? True Is 548433427 a multiple of 554? False Does 1670 divide 265446889? False Does 237 divide 21863250? True Is 1787 a factor of 6363643? False Is 37 a factor of 840196? True Is 32308160 a multiple of 16? True Does 21 divide 464290596? True Is 204582000 a multiple of 56? True Is 20 a factor of 1363222513? False Is 193 a factor of 422460016? True Is 66 a factor of 9664945? False Does 34 divide 11215512? True Is 69463368 a multiple of 1128? True Is 42 a factor of 16823416? False Is 14 a factor of 119716547? False Does 5305 divide 171159499? False Does 49 divide 50290268? True Is 5 a factor of 9868560? True Is 49 a factor of 16044896? False Is 36 a factor of 502231464? True Does 42 divide 678742995? False Is 25 a factor of 6668715? False Is 118163690 a multiple of 331? True Is 1807170 a multiple of 885? True Is 7 a factor of 14459389? True Does 92 divide 4074227? False Does 749 divide 27480061? True Is 17 a factor of 1351393325? True Does 73 divide 8873760? False Is 5931844 a multiple of 6? False Is 1230 a factor of 65499960? True Is 2613032096 a multiple of 9238? False Does 360 divide 49829400? True Is 102 a factor of 8345710? False Is 73535305 a multiple of 19? False Is 503399358 a multiple of 77? True Does 3794 divide 55895052? False Does 60 divide 978964680? True Does 27 divide 213714990? True Is 297 a factor of 313696787? False Does 143 divide 15552846? False Is 63 a factor of 7154217? True Is 12 a factor of 633284537? False Is 2503 a factor of 1857931846? True Does 207 divide 67805951? False Is 589537069 a multiple of 31? False Does 156 divide 28449170? False Is 6 a factor of 9729630? True Is 214 a factor of 8044688? True Is 66 a factor of 154828146? True Is 137754330 a multiple of 10? True Is 288 a factor of 954403200? True Does 449 divide 83633883? True Is 2431967122 a multiple of 16? False Does 19 divide 3289882575? False Is 802340724 a multiple of 655? False Is 405 a factor of 1444566010? False Is 3120 a factor of 2294561371? False Is 4 a factor of 1765736? True Is 340761 a multiple of 10? False Is 915 a factor of 416886810? True Is 292 a factor of 791128448? True Is 69 a factor of 59812079? False Is 117261505 a multiple of 89? True Does 15 divide 312790510? False Does 19 divide 8910886? True Is 96 a factor of 979841538? False Is 633 a factor of 1087707724? False Is 173991240 a multiple of 60? True Is 584322358 a multiple of 32? False Does 13 divide 1083904406? True Is 284836496 a multiple of 476? True Is 6959806 a multiple of 1126? True Is 555422105 a multiple of 506? False Is 232 a factor of 90769869? False Is 733 a factor of 17227249? False Is 18313439 a multiple of 150? False Is 64210692 a multiple of 42? True Is 145 a factor of 50572085? True Does 421 divide 560614615? False Is 26999116 a multiple of 57? False Is 7 a factor of 13428664? False Does 766 divide 495979638? True Is 250 a factor of 27109009? False Is 323 a factor of 130102103? False Is 359 a factor of 14598017? True Is 96 a factor of 1020668698? False Is 292522238 a multiple of 177? False Does 34 divide 3733718? False Does 16 divide 479968608? True Does 881
{ "pile_set_name": "DM Mathematics" }
culate prob of picking 1 b and 1 a when two letters picked without replacement from {a: 11, b: 3, q: 1, n: 4}. 11/57 Three letters picked without replacement from {o: 1, d: 2, n: 3, l: 4}. Give prob of picking 1 o, 1 d, and 1 l. 1/15 Three letters picked without replacement from {g: 2, o: 1, e: 3, t: 1, v: 4, c: 4}. Give prob of picking 1 o, 1 t, and 1 g. 2/455 Calculate prob of picking 1 u and 2 f when three letters picked without replacement from {u: 17, f: 3}. 17/380 What is prob of picking 2 f when two letters picked without replacement from {f: 2, p: 2, m: 3, r: 2}? 1/36 Three letters picked without replacement from {x: 9, d: 11}. Give prob of picking 1 x and 2 d. 33/76 What is prob of picking 1 h and 1 l when two letters picked without replacement from {h: 3, x: 3, w: 3, l: 1}? 1/15 What is prob of picking 3 w when three letters picked without replacement from wxwwxwxwxwwx? 7/44 Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {l: 3, n: 3, w: 2, d: 4, k: 2, o: 1}. 2/35 Calculate prob of picking 2 x and 1 m when three letters picked without replacement from xqeemqmmzumx. 1/55 Three letters picked without replacement from amchmqmabchc. What is prob of picking 1 b, 1 q, and 1 m? 3/220 What is prob of picking 1 m and 1 d when two letters picked without replacement from dmmmddmmmd? 8/15 What is prob of picking 1 z and 2 w when three letters picked without replacement from {w: 2, z: 1, p: 1, x: 2}? 1/20 Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {m: 2, b: 1, h: 14}. 91/340 Three letters picked without replacement from smhsspts. Give prob of picking 2 s and 1 t. 3/28 Four letters picked without replacement from hhhhh. What is prob of picking 4 h? 1 Three letters picked without replacement from {a: 6, k: 1, w: 5, m: 1, x: 1}. What is prob of picking 1 w, 1 m, and 1 k? 5/364 Four letters picked without replacement from {r: 2, m: 3, k: 2, g: 3, c: 6}. What is prob of picking 2 g and 2 r? 3/1820 Calculate prob of picking 1 d and 1 k when two letters picked without replacement from dudduddkdkdx. 7/33 Calculate prob of picking 4 h when four letters picked without replacement from {q: 4, h: 6}. 1/14 What is prob of picking 1 j, 1 k, and 1 m when three letters picked without replacement from kkkkjkkmkkkkk? 1/26 What is prob of picking 2 h and 2 r when four letters picked without replacement from rhhhhrhhrrrhrrrrhh? 36/85 Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, h: 1, r: 1, o: 5}. 1/15 Four letters picked without replacement from {t: 3, d: 3, h: 2}. Give prob of picking 3 t and 1 d. 3/70 What is prob of picking 1 d and 1 k when two letters picked without replacement from odkfdkdfkdddfdkfkkf? 14/57 Two letters picked without replacement from {u: 1, j: 1, i: 3, q: 2}. Give prob of picking 1 u and 1 j. 1/21 Three letters picked without replacement from {p: 3, f: 5}. What is prob of picking 3 p? 1/56 Four letters picked without replacement from vhvsyysvyyesyevrsyh. Give prob of picking 2 e, 1 y, and 1 h. 1/323 Four letters picked without replacement from {z: 3, e: 1, b: 1, n: 6, g: 1}. What is prob of picking 1 g, 2 n, and 1 z? 1/11 Calculate prob of picking 1 a, 1 i, and 1 l when three letters picked without replacement from aqqlaqilaa. 1/15 Two letters picked without replacement from kzelo. Give prob of picking 1 z and 1 k. 1/10 What is prob of picking 2 a, 1 d, and 1 l when four letters picked without replacement from {l: 2, a: 8, d: 4}? 32/143 Two letters picked without replacement from afaaaafpapaa. Give prob of picking 2 p. 1/66 Calculate prob of picking 1 e, 1 u, and 2 w when four letters picked without replacement from wewwwueuuua. 8/55 What is prob of picking 1 n and 3 o when four letters picked without replacement from {n: 7, o: 7}? 35/143 Calculate prob of picking 1 b, 1 d, and 2 z when four letters picked without replacement from bpbzbdzbrdbbbdd. 4/195 Four letters picked without replacement from {f: 6, n: 13}. What is prob of picking 3 f and 1 n? 65/969 Calculate prob of picking 1 d, 1 w, and 1 e when three letters picked without replacement from {m: 2, j: 4, e: 2, w: 1, d: 6}. 12/455 Four letters picked without replacement from urumuuwuuuuuuwwww. Give prob of picking 1 r and 3 w. 1/238 Two letters picked without replacement from {m: 3, r: 1}. What is prob of picking 1 r and 1 m? 1/2 What is prob of picking 1 a and 2 t when three letters picked without replacement from {t: 8, a: 2}? 7/15 Four letters picked without replacement from rptfmptmptpptmm. Give prob of picking 1 f and 3 m. 4/1365 Three letters picked without replacement from {i: 1, z: 1, m: 2, t: 3, p: 3, h: 3}. What is prob of picking 1 m, 1 t, and 1 h? 9/143 Three letters picked without replacement from {l: 4, k: 2, n: 3}. Give prob of picking 3 n. 1/84 What is prob of picking 3 a and 1 h when four letters picked without replacement from phpahahpaaahahpphhp? 35/969 Two letters picked without replacement from {j: 2, d: 2, w: 1}. What is prob of picking 1 w and 1 j? 1/5 What is prob of picking 2 x and 2 q when four letters picked without replacement from qqqxxqqqxqqqqqxqqq? 91/510 What is prob of picking 1 u and 1 t when two letters picked without replacement from {t: 5, u: 2}? 10/21 Three letters picked without replacement from {u: 10, c: 10}. What is prob of picking 1 u and 2 c? 15/38 Two letters picked without replacement from {p: 7, l: 4, b: 4}. Give prob of picking 1 p and 1 l. 4/15 Two letters picked without replacement from bbqbbqbbbbbbb. What is prob of picking 2 b? 55/78 What is prob of picking 1 a, 1 n, and 1 t when three letters picked without replacement from onntntsasstnnnnnnns? 10/323 What is prob of picking 2 m when two letters picked without replacement from {i: 2, m: 5, g: 4}? 2/11 What is prob of picking 1 w, 2 f, and 1 x when four letters picked without replacement from {n: 2, g: 2, w: 1, x: 1, f: 2, d: 1}? 1/126 What is prob of picking 1 b and 2 y when three letters picked without replacement from yyyyybbbybyb? 21/44 What is prob of picking 1 p and 2 o when three letters picked without replacement from {p: 5, a: 2, o: 2}? 5/84 Three letters picked without replacement from llllmmmbmllllbll. Give prob of picking 2 b and 1 l. 1/56 What is prob of picking 3 e when three letters picked without replacement from {i: 16, e: 4}? 1/285 What is prob of picking 1 h and 1 a when two letters picked without replacement from yehhyyeeyhay? 1/22 Four letters picked without replacement from {v: 1, a: 1, t: 1, w: 2, y: 1, g: 1}. Give prob of picking 1 y, 1 w, 1 v, and 1 a. 2/35 What is prob of picking 1 g, 1 q, and 1 n when three letters picked without replacement from ghhghphpnqhh? 1/110 Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {r: 4, g: 2}. 8/15 Four letters picked without replacement from gdpgpdgppgdvvpd. Give prob of picking 1 p, 2 d, and 1 g. 8/91 Three letters picked without replacement from xxreyeerybxbx. Give prob of picking 1 e, 1 r, and 1 y. 6/143 Three letters picked without replacement from spejjjppps. Give prob of picking 1 s and 2 p. 1/10 What is prob of picking 2 b and 2 v when four letters picked without replacement from vvbvvvvvbvvvvvvvvvvb? 8/95 Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, c: 1}. 1/3 Calculate prob of picking 1 f, 1 w, and 2 z when four letters picked without replacement from {z: 2, v: 1, i: 2, p: 1, w: 2, f: 1}. 1/63 Three letters picked without replacement from {x: 4, o: 3}. Give prob of picking 3 o. 1/35 What is prob of picking 4 g when four letters picked without replacement from gggggfgggff? 7/33 Two letters picked without replacement from {m: 1, w: 2}. What is prob of picking 1 m and 1 w? 2/3 Two letters picked without replacement from jyloltljtyyjiljiyitj. What is prob of picking 1 l and 1 i? 6/95 Four letters picked without replacement from ihqipge. Give prob of picking 2 i, 1 e, and 1 p. 1/35 Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {j: 2, w: 5, z: 2}. 1/42 Two letters picked without replacement from {w: 4, e: 3, s: 6}. Give prob of picking 1 w and 1 e. 2/13 What is prob of pick
{ "pile_set_name": "DM Mathematics" }
at least t? False Let a be (-1226)/(-40) - 2/5. Let c = -30 + a. Let l = 5 + -5.1. Is c < l? False Suppose 0 = -5*q + 2*q. Let a be 1 + ((-10)/4 - q). Let x(i) = -i**3 + 5*i**2 + i - 4. Let t be x(5). Is t at least a? True Let b = -15461 + 9446673/611. Which is smaller: b or 0? 0 Let p = 5 + -2. Suppose -f + 6 = 4, 3*u - 7 = f. Is p at least as big as u? True Let b be 0/(10*4/(-8)). Is 4/9 equal to b? False Suppose 2*j - 2*q + 32 = 0, -j - 10 - 6 = 4*q. Let g be 1/(2*(-2)/j). Suppose 4*a + 3*b - 3 = 4, 0 = -g*a - 2*b + 6. Is a >= -0.1? True Let b = 8214/1339 - 80/13. Which is greater: -1 or b? b Let j be -3 + -1 + (-92)/(-30). Let z = -8/5 - j. Which is smaller: z or -2? -2 Let o(a) = -a - 9. Let v be o(-7). Let r = 0 + -1. Do v and r have different values? True Suppose -5*t = -3*t + 16. Is -9 not equal to t? True Suppose 0 = 5*t + 3*u - 78 + 18, 12 = t + u. Let z be (-7272)/45*t/10. Let l = z + 194. Which is bigger: 1 or l? 1 Let x be 4*-2*(-1)/(-28). Let m = -11 - -11. Which is smaller: m or x? x Let u = 0.2 - 0.02. Let i = u - 0.08. Does 0 = i? False Suppose 3*h = 4*c - 31, -h + 5*c - 21 = c. Does h = -3? False Let m(c) = 4*c - 8. Let r be m(-7). Let p be (2/(-10))/(r/(-135)). Is p >= -2? True Let n be -1 + (3 - 0) - -10. Suppose v - 4*v = -n. Let o be 4/30*6/v. Which is bigger: o or 0? o Let a = 7 - 8. Let v be (a - 6/(-3))/4. Is v bigger than -2/3? True Let q = 2 - 3. Let o = 13 - 71/5. Which is smaller: q or o? o Let b be (-5)/20 + 7/40. Let t be 81/120 + (-4)/10. Let m = b + t. Which is smaller: m or 0? 0 Suppose 0 = -5*o + 4*y + 5, -4*y = 4*o - 3 - 1. Suppose 15 = 4*s - o. Let v(p) = p**2 - 2*p. Let i be v(3). Which is bigger: i or s? s Let l = -75/8 - -447/40. Which is bigger: l or 3? 3 Let f = 95 - 68. Suppose 5*y = -f - 23. Let p be y/(-4) - 4/(-8). Is p at most 4? True Let l be (-3)/(-2)*6 + 2. Let f = 11 - l. Is 2 < f? False Let f = -8 - -3. Let d = -87/5 - -69/5. Do d and f have the same value? False Let b be 50/12 - 10/60. Let x = 4 - b. Which is bigger: -1 or x? x Let l = 17 + -32. Suppose -t = -4*h - 51, 51 - 14 = -3*h + 2*t. Is h at least l? True Let s be 2/6 + (-5)/6. Let c = -7 + 2. Let k be (c - -4) + 3/4. Which is smaller: s or k? s Let u = 0.43 - 0.33. Which is smaller: u or -2/3? -2/3 Suppose 0 = -2*v + 3*v. Let l be (-3)/(-1)*(-2)/(-3). Suppose 16 = 3*x + 4*r, r - 2 = -3*x + l. Is x less than v? False Let r be 6/4*8/(-48). Which is greater: r or 4/13? 4/13 Let k = 90 + -179/2. Let m = -6 - -8. Is m less than k? False Let d be 4/(-10) + 4/10. Let s = 1874/9 - 208. Which is greater: d or s? s Suppose 0 = -2*i - 15 + 3. Let l be (i/(-8))/((-3)/2). Let h = -6 - -5. Is l greater than or equal to h? True Suppose w = -0*w + 4. Let c be 1*-2*1/w. Is c at most as big as 1/3? True Let a be 4/18 + 520/90. Is 3 at most a? True Suppose 5*w = -5*x - 2 + 7, 7 = 3*w - x. Suppose -r = w*r. Let u be 10/12 + 2/(-4). Which is bigger: r or u? u Let u = 220 - 2181/10. Which is bigger: u or 3? 3 Let m = -70 - -72.97. Let x = m - -0.03. Let a = 37/36 + -7/9. Which is bigger: x or a? x Suppose 3*u + 5 = 23. Suppose u*r = r. Is -1 at least r? False Let r = 2 + -1.7. Let s = 0.2 - r. Let i = -1.1 - s. Is i greater than 2? False Let c = 25 + -23. Let f = 2 + -1. Do c and f have different values? True Let b(s) be the second derivative of -s**5/20 - 5*s**4/12 - s**3/6 - 3*s**2 - 4*s. Suppose 0 = -4*u + 13 - 33. Let j be b(u). Which is greater: -3 or j? j Let v be (4 - 4) + 21/(-770). Is v bigger than -1? True Let b(d) = 9*d + 4*d - 4 - 6*d - d**2. Let u be b(6). Let j be 0/(15/(-3) + u). Are j and 0 equal? True Let m(j) be the first derivative of -j**2/2 + 5*j + 3. Let n be m(5). Which is bigger: 0.3 or n? 0.3 Suppose -6*w + 23 + 79 = 0. Is 16 less than w? True Let j = -5 + 7. Suppose -m + 3*s - 16 = 0, -3*s - j*s = 4*m - 21. Is -1 at most m? True Suppose s + 19 = -3*s + 3*b, 0 = -5*b + 25. Let z(t) = -t + 1. Let j be z(-1). Is s not equal to j? True Let p = -5035/429 + 11/39. Which is greater: p or -11? -11 Let h = 13 - 12. Is h at least -2/15? True Suppose -4*w - 19 = -3*t, -5*t - 7 = 4*w + 4. Suppose 11*y + 21 = 4*y. Which is smaller: y or w? w Suppose 0 = b - 3*y - 2*y + 3, -4*b + 84 = 4*y. Are 17 and b unequal? False Suppose 3 = -2*c + 1. Let p be (-7)/(-15)*22/77. Which is smaller: p or c? c Suppose -31 + 133 = 2*s + m, -m - 216 = -4*s. Are s and 0 unequal? True Suppose -y - l + 10 = -6*l, 2*l = -2*y - 4. Suppose y = 2*k - 0*k + 2. Let h = -65 - -843/13. Is h not equal to k? True Suppose -2*c - 4*s = 28, 0*s + 20 = 5*s. Is c equal to -22? True Let o be (-2)/5 + 36/15. Let c be o/1 + (-4)/2. Which is greater: -1 or c? c Let s be (-1 - -1) + (1 - 0). Let j be (6/18)/((-2)/(-18)). Suppose 0 = 2*b - j*x - 15, 3*b + s = -x - 4. Is 0 bigger than b? False Let t(i) = 2*i + 10. Let q be t(-7). Suppose 0 = 4*m - 2 + 6. Let g = -5 - m. Is q <= g? True Let u = 134.3 + -132. Which is greater: -0.3 or u? u Let u(x) = x**3 + 8*x**2. Let d be u(-8). Let s = 123/254 - -2/127. Is s != d? True Let u = 0.75 + -0.65. Which is smaller: u or 10? u Let n = 2 - 2.2. Let w = n + 0.4. Let v = w - 0.3. Is 1/4 at most as big as v? False Let q be 5/35 - 27/(-7). Let p(r) = 2*r - 4. Let l be p(q). Is 7 != l? True Let q(h) = -h**3 - 8*h**2 - 12*h. Let d be q(-6). Does d = -5/34? False Let g(k) = 3*k**2 - 10*k + 7. Let y(u) = 4*u**2 - 11*u + 8. Let r(n) = -3*g(n) + 2*y(n). Let a be r(6). Does 7 = a? True Let h be ((-30)/(-8))/((-3)/12). Let j be (h/(-90))/((-2)/(-8)). Let d = -2 - -2. Which is smaller: d or j? d Let f = 134 + -134.19. Is 4 < f? False Let y = 0.3 - 0.6. Let i = -0.1 - y. Let g = 3 - 1. Which is smaller: g or i? i Suppose -2*l + l = 0, -4*f + 4*l = 4. Let m be f + 2 - 1*3. Let j(b) = -2*b**2 - 1. Let p be j(1). Is m less than or equal to p? False Let x(n) = -n**2 + 2*n + 2. Let l be x(3). Let c be (l + 1 + 0)/2. Is 0 < c? False Let y be ((-6)/(-15))/((-18)/10). Let d = -3 + 5. Suppose -2*k = d*k. Is k equal to y? False Let n = 2810 - 317528/113. Is n < 1? True Let g = -295 + 2087/7. Do g and 3 have the same value? False Let q(c) = -7*c**2 - 2*c - 1. Let g be q(-1). Let z be 0 - 3/6*4. Let h be g - ((2 - 2) + z). Is -1 at least as big as h? True Let m be (1 - (1 - (3 - 3)))*-1. Which is smaller: m or 3/8? m Let f be 0 - (7 + (4 - 2)). Is f at most -6? True Let j = -1/231 + -673/4620. Which is smaller: j or 0? j Suppose -j + 2*k = -17, j - 5*k = -4*j + 70. Do 10 and j have the same value? False Let d(q) = 7*q**3 - 2*q**2 + 2*q - 1. Let u be d(1). Suppose 6*y = 3*y + u. Let m be (6/9 - 0)/y. Which is bigger: m or 2/5? 2/5 Let v = -10 + -7. Is v equal to -16? False Suppose 0 = 4*f - i + 49, 3*f = 3*i + i - 40. Is -7 greater than or equal to f? True Suppose -3*h + 2*b = -89, 3*h = -h - 3*b + 113. Which is bigger: h or 28? h Let h = -187/7 - -27. Which is smaller: h or 0? 0 Let j(q) = q**3 - 15*q**2 + 12*q + 30. Let i be j(14). Suppose 0 = -4*p + 8. Does p = i? True Suppose 6 = 3*i - 0. Let m be 28/(-88) + i/4. Is m < 3? True Let t be (-19)/(-6) - 6/2. Is -1 smaller than t? True Let o = -7.07 + 0.07. Let u = o + 7. Let l = u + -4. Which is smaller: l or 1? l Let j = 0.22 + -0.02. Which is bigger: j or -3/7? j Suppose 0*q + q - 3 = j, 3*q = j + 3. Is 0 <= q? True Let m be ((-2)/(-4))/(1/2). Let b be ((-1)/4)/(23/35). Let v = 3/23 + b. Which is bigger: m or v? m Let s be (-3)/6 + 28/8. Suppose -a = -4*m + 2*a + 31, -s*m - 5*a = -16. Is -1/2 bigger than m? False Let s(z) = -z**3 - 7*z**2 - 6*z + 7. Let g be s(-6). Is 8 at least as big as g? True Suppose 0 = -3*h + 4*h - 3. Suppose i - 16 = -q, 0 = -2*q + h*i + 13 + 9. Let y = -41/3 + q. Which is smaller: 1 or y? y Let c = -0.2 - -1.2. Let w(k) = k**2 + 9*k + 9. Let y be w(-7). Which is bigger: c or y? c Let o = -25 + 29. Do -2/11 and o have the same value? False Let p = 4 - 1. Let d be 1 - -1*p*2. Suppose -d = -3*w - 4. Which is smaller: w or -2? -2 Let g = -0.06 + -0.24. Let l = g - -1.3. Which is bigger: 6 or l? 6 Let q(r) = -r**2 - 4*r - 3. Let s be q(-3). Is -2/9 smaller than s? True Suppose 0*r + 5*r = 10. Let f be 2/7 + r/(-7). Which is smaller: f or -0.2? -0.2 Let x(g) = -2*g - 13. Let m be x(-9). Suppose i + 0*i = -5*d + 2, m*i + 14 = -d. Is d not equal to -2/7? True Suppose -14 + 6 = 4*q. Let j = q + 2.
{ "pile_set_name": "DM Mathematics" }
ve of -397165*o**2*w**2 + 2*o**2*w - o**2 + 39*o*w + 2*o - 21*w**2 + 565*w + 48 wrt w? -794330*o**2 - 42 Find the second derivative of -1593060*l**2*m**2*z**2 + l**2*z**2 + 102*l*m*z**2 + 2*l*m + l*z + 18*m**2*z + 11*m**2 + 3*m*z**2 wrt l. -3186120*m**2*z**2 + 2*z**2 Find the second derivative of 4653755*g**2 - 1390816*g. 9307510 Find the first derivative of -3*w**3 - w**2 - 113727*w + 32397558 wrt w. -9*w**2 - 2*w - 113727 Find the second derivative of 75*l*r**3 + 9558*l*r + 176*l + 90*r**3 + 389*r**2 wrt r. 450*l*r + 540*r + 778 What is the derivative of -5844150*f - 4039046 wrt f? -5844150 What is the third derivative of -39220793*i**3 + 31078274*i**2 wrt i? -235324758 Find the third derivative of 7767*k**3*s*y + 297*k**3*s + 127664*k**2*s + k*s*y + s*y wrt k. 46602*s*y + 1782*s What is the second derivative of -576*q**4 + 4*q**3 + 4*q**2 - 6361010*q wrt q? -6912*q**2 + 24*q + 8 Find the second derivative of -5699*a**2*v**2*x + 7*a**2*v**2 + 88259*a**2*v - 11*a**2*x + 20*a**2 + 36*a*v**2 + 2*v*x wrt v. -11398*a**2*x + 14*a**2 + 72*a Differentiate -228769*n**3 - 21*n + 8432977 wrt n. -686307*n**2 - 21 What is the second derivative of -l**4 - 87157*l**3 + 57*l**2 + 2*l + 15257487? -12*l**2 - 522942*l + 114 Differentiate -11099948*d**2 - 2846624 with respect to d. -22199896*d What is the first derivative of 49*a*y*z + 6*a*y - a*z + 3350*a + 2233013*y*z + 2*z wrt a? 49*y*z + 6*y - z + 3350 Find the second derivative of -3*h**2*j**2 - 14278*h**2*j + 735*h**2 - 3*h*j**2 + 2*h*j + h + 38*j**2 - 60*j + 3 wrt h. -6*j**2 - 28556*j + 1470 Find the third derivative of -74704*k**6*y - 67*k**3*y + k**2*y + k**2 - 9*k*y + 4*k + 16*y + 80 wrt k. -8964480*k**3*y - 402*y Find the second derivative of 8978*w**5 - 742*w**2 + 41849988*w - 2. 179560*w**3 - 1484 Find the second derivative of -4556270*k**3 + k**2 + k + 792462. -27337620*k + 2 Differentiate 1076*n*q**2 - 1217*n*q - 733171*n - q**2 + 17*q + 206 with respect to q. 2152*n*q - 1217*n - 2*q + 17 What is the third derivative of 5*w**5 - 6*w**4 - 25599*w**3 + 54749*w**2 - 35*w wrt w? 300*w**2 - 144*w - 153594 Find the third derivative of -3*a**2*z**3 - 78*a**2*z**2 + 78*a*z**3 - 2657089*a*z**2 - 26693*z**3 wrt z. -18*a**2 + 468*a - 160158 Find the second derivative of 8*g**5*t + 124*g**3*t + 436*g**2*t - 244*g*t - 7*g - 5846*t wrt g. 160*g**3*t + 744*g*t + 872*t Find the second derivative of 2*i**2*r*y + 56463*i**2*r + 2*i**2*y - 26*i**2 - 88*i*r*y - 14*r*y - 396*r wrt i. 4*r*y + 112926*r + 4*y - 52 What is the second derivative of 8937274*z**2 - 16*z - 142850? 17874548 What is the second derivative of 3449684*i**3 - 16*i**2 - 341176*i + 3? 20698104*i - 32 Find the second derivative of 44*c**3 + 26338*c**2 + 11658382*c. 264*c + 52676 Find the first derivative of -1908*d*p**3 - 3727*d*p**2 - 2*d + 62139 wrt p. -5724*d*p**2 - 7454*d*p What is the first derivative of 20*k**2*s**3 + 272553*k**2 - 7*k + 1438780*s**4 - 31 wrt s? 60*k**2*s**2 + 5755120*s**3 Find the second derivative of 237667*p**2*w**2*y + 3*p**2*w - 82*p**2*y - 44438*p*y - 338*w**2*y wrt w. 475334*p**2*y - 676*y What is the third derivative of -805*i**5 + 37*i**4 + 292*i**3 + 39246932*i**2 - 3? -48300*i**2 + 888*i + 1752 Find the second derivative of -1213*n**3*x**3 - 185*n**3 - 16*n*x**3 + 840755*x**3 wrt n. -7278*n*x**3 - 1110*n Differentiate 41067004*h + 11785065 with respect to h. 41067004 What is the third derivative of -22768*j**3*m**2 - 20*j**3*o**3 - 2*j**2*m**2*o - 9877*j**2*m*o**3 + 13*j**2 wrt j? -136608*m**2 - 120*o**3 What is the second derivative of -4*n**5 - 4690751*n**4 - 548596*n - 4? -80*n**3 - 56289012*n**2 What is the derivative of 252017585*q**3*u - 9835211*q**3 + 3*q**2 wrt u? 252017585*q**3 What is the second derivative of -44707388*a**3 + 62014986*a wrt a? -268244328*a What is the second derivative of 400*p**4 + 23861*p**3*x**3 + p + 2860*x**3 + 1543 wrt p? 4800*p**2 + 143166*p*x**3 Find the third derivative of 109761440*s**4 + 160901475*s**2 wrt s. 2634274560*s Find the second derivative of -5640*d**5 - 4*d**4 - 80*d**3 - 1921133*d. -112800*d**3 - 48*d**2 - 480*d Differentiate 18310574*c**3*u**2 - 4109250*u**2 wrt c. 54931722*c**2*u**2 Find the first derivative of -1151*b*k**2 - 680*b - 2*k**2 + 16*k - 8467 wrt k. -2302*b*k - 4*k + 16 What is the third derivative of -79343051*b**3 - 41*b**2 + 33*b + 1557? -476058306 What is the third derivative of 36*c**4*v + 73093*c**3*v + c**2 + 2*c*v + 57*v + 1065 wrt c? 864*c*v + 438558*v Find the second derivative of 439953365*n**4 - 679745726*n wrt n. 5279440380*n**2 What is the second derivative of 15067637*j**3 + 3*j**2 - 12589254*j + 3? 90405822*j + 6 Find the third derivative of -163125*y**4 - 146*y**3 - 336484*y**2 - 29 wrt y. -3915000*y - 876 What is the second derivative of 627550751*s**3*u**2 - 44*s*u**2 - 3*s*u - 6*s - 158*u**2 - 84 wrt s? 3765304506*s*u**2 Find the second derivative of 31607282*q**4 + 869*q - 19486 wrt q. 379287384*q**2 What is the third derivative of 42*p**5 + 5037*p**4 + 8067472*p**2 wrt p? 2520*p**2 + 120888*p Find the third derivative of 1045581*a**3 + 6810475*a**2. 6273486 Find the second derivative of 23061682*l**2 - 108813*l - 104 wrt l. 46123364 What is the third derivative of 91610956*x**4 - 382*x**2 + 115190? 2198662944*x Differentiate -25556*g**3*u + 9655*g**3 + 27*g**2*u - g*u - 203*g - 2 wrt u. -25556*g**3 + 27*g**2 - g Differentiate -45*h**3 + 41*h**2 - 391*h + 3224162. -135*h**2 + 82*h - 391 What is the third derivative of 711382*n**3 - 460572*n**2 - 2*n wrt n? 4268292 Find the first derivative of -67*h**3*p**2 - 27223*h**3*p + 4653784*p**2 wrt h. -201*h**2*p**2 - 81669*h**2*p What is the third derivative of -78645436*v**5 + 57040285*v**2 - 1 wrt v? -4718726160*v**2 What is the second derivative of -741772*i**3 - 60*i**2 + 1742258*i - 151? -4450632*i - 120 What is the second derivative of -110*f**3*m*r*z**2 - 50729*f**3*m*r - 47*f**3*r*z + 2*f**3 + 18*m*r*z**2 + 2*m*r + 9*r*z**2 + 2*r*z wrt z? -220*f**3*m*r + 36*m*r + 18*r Find the second derivative of 448873171*t**2 - 109457*t + 1180 wrt t. 897746342 What is the second derivative of 2479*u**4 + 526*u**3 + 28390949*u + 2? 29748*u**2 + 3156*u Differentiate v**3 - 1583*v**2 + 2033*v + 5931110 with respect to v. 3*v**2 - 3166*v + 2033 Find the second derivative of 282693011*a**2 - 212142081*a. 565386022 Find the second derivative of -539*a**5 - 1290*a**2*v - 28*a*v + 9*a + 29*v + 26 wrt a. -10780*a**3 - 2580*v What is the third derivative of -609*y**5 - 972*y**4 + 28*y**3 - 137656*y**2 + 32*y + 7? -36540*y**2 - 23328*y + 168 What is the first derivative of -614218*b**2*s + 24636951*b**2 + 8*b*s wrt s? -614218*b**2 + 8*b Find the first derivative of 30*c*q**2 - 3*c*q - 11731732*c + 94*q**2 - 98*q wrt q. 60*c*q - 3*c + 188*q - 98 What is the first derivative of 2*j**4 + j**2 + 959688*j + 9983220? 8*j**3 + 2*j + 959688 What is the second derivative of -78613801*p**3 + 214914510*p? -471682806*p What is the derivative of 16651221*g**2 + 2*g - 5136171 wrt g? 33302442*g + 2 What is the derivative of -9301963*k - 32591251? -9301963 Differentiate 17407101*u + 48705966 wrt u. 17407101 Find the second derivative of -32*a**3*p**3 - 240534*a**3 + a*p**3 - 9*a*p**2 - 105*a + p**2 - 1562*p wrt a. -192*a*p**3 - 1443204*a Find the third derivative of 677852*r**4 - 33*r**3 - 1054181987*r**2. 16268448*r - 198 Find the second derivative of h**4 - 2893*h**3 - h**2 + 392265*h + 1. 12*h**2 - 17358*h - 2 Find the first derivative of 20933386*c**2 + 112657118 wrt c. 41866772*c What is the second derivative of -73883692*b**3 - 5325671*b? -443302152*b Find the third derivative of -35178091*l**3 + 33823309*l**2 wrt l. -211068546 What is the second derivative of -611649724*u**3 + u**2 - 20*u - 1788785 wrt u? -3669898344*u + 2 What is the second derivative of -15501733*f**3*x**2 + 49*f**3*x + 42*f**3 - f**2*x**2 - 3*f**2*x - f**2 - 2*f*x - 7*f wrt x? -31003466*f**3 - 2*f**2 Find the third derivative of -10032729*x**5 + 211*x**2 + 8116*x wrt x. -601963740*x**2 What is the third derivative of 100*c*f*h**3 + 2957*c*f*h**2 - 2569*c*h**2 + 2*c*h - 58850*h**3 wrt h? 600*c*f - 353100 Differentiate 404109*s**2 - 10*s + 492795 wrt s. 808218*s - 10 What is the third derivative of 608706*g*z**3 + 13*g + 15*z**3 + 34299*z**2 wr
{ "pile_set_name": "DM Mathematics" }
b) -0.124 (c) 5/2 (d) 15 b Which is the nearest to -2? (a) 0 (b) -4/37 (c) 4 (d) -1.323 d Which is the closest to -2? (a) 0.15 (b) 1304 (c) -69 a What is the nearest to 0.1 in 8, -5/11, -8, 16, -5? -5/11 What is the nearest to -0.1 in -1/4, -223, -13655? -1/4 Which is the closest to -0.1? (a) -9 (b) -0.4 (c) 0.5 (d) -85/73 b What is the closest to -0.2 in 2/7, -5, 313, 0, -3/143, 2? -3/143 What is the nearest to -0.1 in -0.2, 0.2, 8403/10, 15, -2, 7? -0.2 Which is the nearest to -5? (a) -252 (b) -3 (c) -5 (d) -22 c Which is the nearest to -2/3? (a) 0.4 (b) 439 (c) 54393 a What is the closest to -3089/4 in 301, 0.1, 2? 0.1 Which is the nearest to 0.1? (a) 8 (b) 2 (c) 14 (d) -0.376 (e) 5 d What is the closest to -1/2 in 71, 1, -3/7, 326/9, -0.07? -3/7 Which is the closest to 0.2? (a) -1 (b) -0.6 (c) 0.0599968 (d) -2 c What is the closest to 0.1 in -2/17, -1.9, 2/3, 6392? -2/17 Which is the closest to -0.73? (a) -344 (b) -0.68 (c) 5 (d) -0.5 b What is the closest to 1/2 in 897.825, 2/13, 0.5? 0.5 Which is the nearest to -2336? (a) -3 (b) -5 (c) -0.2 (d) -11 d Which is the nearest to -2/21? (a) 89 (b) 3 (c) -1.1 (d) 9/8 c What is the closest to 0.4 in -0.3, 3, -0.5, 2/153, 368? 2/153 What is the nearest to 1/4 in 1/40, 0.1, -0.11, 5, -184? 0.1 What is the nearest to -0.17 in -2, -29777, 2/3, -4/15? -4/15 What is the closest to -291021.78 in -0.3, -2, -2/7? -2 What is the closest to -0.1 in -3/304, -1, -12, -0.06, 2? -0.06 Which is the nearest to 4/11? (a) 6 (b) 29 (c) 1245 (d) 2/13 d What is the closest to 0.62 in 0, 2/279, -58? 2/279 Which is the closest to 0.2? (a) -2/1795 (b) -157 (c) 0.2 (d) 2/11 (e) -8/11 (f) 0.1 c What is the closest to 85 in 2/17, 2, 8/25, -25/3, 1/6? 2 Which is the nearest to -0.1? (a) 3/73 (b) 1 (c) 0 (d) 637 c What is the nearest to 1 in -4833.1, -1/10, -5? -1/10 What is the closest to -12 in -413028, 4, -0.11? -0.11 What is the nearest to 9 in 57, -3/2, -1, -386/7? -1 Which is the closest to 50? (a) -3 (b) -2/5 (c) 1/6 (d) -0.2 (e) -2 (f) -4/2087 c Which is the closest to -18? (a) 4 (b) -393 (c) 263 a Which is the closest to -1/14? (a) -0.016 (b) -10 (c) 2 (d) -0.1 (e) 11 d What is the nearest to 0 in 3, 110, -6/13? -6/13 What is the nearest to 0.1 in -67569, 3, -0.01, -3, 1/2? -0.01 Which is the nearest to 1/4? (a) -0.1 (b) -19/12 (c) -120 (d) -0.2 (e) -3 (f) 0 f Which is the nearest to -0.1? (a) -2/7 (b) -2/15 (c) -11 (d) 17 b What is the closest to 1/48 in 0.2, 10, 0.5, -4, 1.11? 0.2 What is the nearest to 18 in 2/11, -401, -792, -4? 2/11 What is the nearest to -3/25 in 70/9, -1/2, 1/6, -1? 1/6 Which is the closest to -1/56? (a) -13.97 (b) 0.1 (c) -5 (d) 4 (e) 2/11 b What is the closest to 3 in 4, -2/9, 6, 29, -8068? 4 What is the closest to 0.02087 in 3, -1/8, 0, 1/8? 0 Which is the nearest to 17/4? (a) 0.2 (b) 2/23 (c) 1/18 (d) -5 (e) -2.91 (f) 1 f What is the nearest to 5 in -1/5, -2/7, -0.3, -2/17, -2/6543, -3? -2/6543 Which is the closest to -287? (a) 3/8 (b) -1 (c) -0.0448 (d) -5 (e) 1 d What is the nearest to -2/7 in 14, -3, 267267? -3 Which is the nearest to 254? (a) 71 (b) 3 (c) 7 (d) 1 (e) 2 a What is the closest to 2 in 2, -20642, 0.5, -1, -1/7, -4? 2 Which is the closest to 2? (a) 0.011 (b) 2/5 (c) 214 (d) -3 b What is the closest to -4/7 in -2/5, -9753, -0.3? -2/5 Which is the nearest to -1? (a) 1/46 (b) 3/2 (c) 103841 a Which is the closest to 0.2? (a) 16 (b) -2/3 (c) -16 (d) 2/11 (e) -11 (f) -0.2 d Which is the closest to 5? (a) -0.02 (b) 9.5789 (c) 1 c Which is the nearest to 0.162? (a) -24 (b) 2 (c) -345 (d) 0 d Which is the closest to -0.3? (a) -2/17 (b) 5113 (c) -9 (d) -0.4 d What is the nearest to 0 in 5794, -7, -12? -7 Which is the nearest to -2/11? (a) -0.09 (b) 196 (c) 3/8 (d) -5.6 (e) -3 a What is the nearest to -32/13 in 3, -2, 11/549? -2 What is the closest to -0.18758 in 13/2, -2/13, -0.03, 4, 2/5? -2/13 What is the closest to -3 in -1/3, -0.05, 4/3, 54, 14? -1/3 Which is the closest to 285? (a) -3/2 (b) -34.606 (c) 5 (d) 4 (e) 1 c Which is the nearest to 3? (a) 88/47 (b) 64 (c) -0.1 (d) 4 (e) 1/3 d What is the nearest to -1 in 12.623, -0.4, 1/3? -0.4 What is the nearest to 1826 in -0.3, -1/4, -0.025, -2, 0.1? 0.1 Which is the nearest to 0.1? (a) -8 (b) -1 (c) 20 (d) -0.947 (e) -0.5 e What is the closest to 1.4 in 6, 2/29, -10, 5, 13/2? 2/29 What is the nearest to -514 in -4, 195, -2/11, 5, 2? -4 Which is the closest to 1/161? (a) 0.1 (b) 24.9 (c) 2/3 a What is the nearest to -0.1 in 117, 0.026, 1, 0, -0.06? -0.06 Which is the closest to 0? (a) 1/460 (b) 5 (c) 3/7 (d) 0.07846 a Which is the nearest to 1? (a) -0.5 (b) -422 (c) 570 (d) 10 a What is the closest to -1/2 in 5882, -3/5, -1, -0.06, -0.2, 7? -3/5 Which is the nearest to 0.32? (a) 1795/6 (b) 5 (c) -6 (d) 0.3 d Which is the closest to 86? (a) -2/5 (b) -0.049 (c) -106 (d) -3 (e) -8 b What is the nearest to -2/5 in 8, 2/5, -2, 1.908, 2/11? 2/11 What is the nearest to 0.1666 in 2/17, -202, 3/19? 3/19 Which is the closest to -1? (a) -54 (b) 1.7 (c) 4/9 (d) -3/11 d Which is the nearest to -641? (a) 5 (b) -2/1189 (c) -21 c What is the closest to -51622 in 5, -1/2, 2, -6, -0.4, -0.06? -6 Which is the closest to 199? (a) 4 (b) -21 (c) 0.1 (d) 1/5 (e) 1 a What is the closest to -0.1 in 1/2, -10985.77, 0? 0 Which is the closest to 132? (a) 1 (b) 0.4 (c) -28 a Which is the nearest to 0.5? (a) -14 (b) 2/13 (c) 3 (d) 14 (e) -0.1 b What is the closest to 0.1 in 0.6, 0.05, -2/3, -4, 41344? 0.05 What is the closest to 1/4 in 0.2, -715.428, -13? 0.2 Which is the closest to 2/3? (a) 5/2 (b) 26 (c) 1/6040 (d) 2/3 d What is the nearest to 3 in -83, -5, -0.1, 41.7, -2? -0.1 What is the closest to -15053 in 1/5, -2/5, 3, -19, 2? -19 Which is the nearest to 0.20937? (a) -5 (b) 24/7 (c) 0.4 c Which is the nearest to -6? (a) -2/15 (b) 0.8 (c) 57192 a What is the nearest to 0.3 in 15, 5940, 1/5, 0? 1/5 Which is the closest to 1? (a) -52731 (b) 2/7 (c) 0.1 (d) -0.4 b Which is the nearest to 1? (a) -0.4 (b) 4 (c) -0.0228 (d) 1.133 d Which is the nearest to 1? (a) -9 (b) -11 (c) -8 (d) 1805 c Which is the nearest to -5? (a) 309 (b) 62 (c) 2 (d) -111 c What is the nearest to -0.5 in -300, 1/6, -5/2? 1/6 What is the closest to 0.7 in -3, -2/3, -1/5, 24, 0.2? 0.2 Which is the closest to -1/45? (a) 3 (b) -1/13 (c) 2/7 (d) 15 (e) 0.5 b Which is the closest to -2/3? (a) 8.7 (b) -0.5 (c) 1/13 (d) -60 (e) -3 b What is the nearest to -10/7 in 2/13, 5, 14/179, -4? 14/179 What is the nearest to -1 in 4, -23, -376/5, -2/7? -2/7 What is the nearest to 1/4928 in 672, 2/3, -5/2, 1/8, 1? 1/8 Which is the nearest to -282.95? (a) -6 (b) 2 (c) -12 c What is the closest to 0.4 in 1/95, 0.4, 187017? 0.4 Which is the closest to -2/325? (a) -0.09 (b) -78 (c) 4/9 a Which is the nearest to -4? (a) 4/5 (b) 253 (c) -1 (d) -173 c What is the nearest to 2 in -8, -3, 324781? -3 What is the closest to 1/4 in 29, 3, -11, -1/8, -137/8? -1/8 What is the closest to -2/3 in 2/59, -14, -0.5, -1/21, -3? -0.5 Which is the nearest to -0.6? (a) 0.2 (b) -3/5 (c) -81 (d) -2 (e) 3 (f) -43 b Which is the closest to -5237? (a) -3/5 (b) -2 (c) -3/2 (d) 0 (e) -16 e Which is the nearest to -2? (a) 1 (b) 643 (c) -7 (d) -3 (e) 2 d Which is the nearest to -19? (a) -0.3 (b) 186 (c) -23 (d) -5 c Which is the closest to 527? (a) 5 (b) -132.3 (c) -0.2 a Which is the nearest to -13? (a) 1/6 (b) -0.7 (c) -0.37 (d) -46.2 (e) 0.2 b Which is the closest to -3/1517? (a) -1/37 (b) -13 (c) -6/13 a Which is the closest to -3/2? (a) -1/2 (b) 36/10601 (c) -1/10 a What is the closest to 0 in -12/5, -1, -165.249, -2/9? -2/9 What is the nearest to 0 in -35, -1, -65, -3/2, -96? -1 What is the closest to 8 in -0.1, -9, -8? -0.1 What is the closest to 3/16 in -0.1, -46/19, -6/11, 5? -0.1 Which is the closest to -2/145? (a) 6 (b) 20139 (c) -0.2 c Which is the closest to -5/7? (a) 12403/98 (b) 2 (c) 3 b What is the nearest to 26.6664 in -0.71, 2/3, -2? 2/3 Which is the closest to 2/7? (a) -255 (b) -178 (c) -12 c What is the closest to -1 in 2/189, 32577, 1? 2/189
{ "pile_set_name": "DM Mathematics" }